Identifier
Mp00069:
Permutations
—complement⟶
Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Mp00262: Binary words —poset of factors⟶ Posets
Mp00114: Permutations —connectivity set⟶ Binary words
Mp00262: Binary words —poset of factors⟶ Posets
Images
=>
Cc0014;cc-rep-3
[1,2]=>[2,1]=>0=>([(0,1)],2)
[2,1]=>[1,2]=>1=>([(0,1)],2)
[1,2,3]=>[3,2,1]=>00=>([(0,2),(2,1)],3)
[1,3,2]=>[3,1,2]=>00=>([(0,2),(2,1)],3)
[2,1,3]=>[2,3,1]=>00=>([(0,2),(2,1)],3)
[2,3,1]=>[2,1,3]=>01=>([(0,1),(0,2),(1,3),(2,3)],4)
[3,1,2]=>[1,3,2]=>10=>([(0,1),(0,2),(1,3),(2,3)],4)
[3,2,1]=>[1,2,3]=>11=>([(0,2),(2,1)],3)
[1,2,3,4]=>[4,3,2,1]=>000=>([(0,3),(2,1),(3,2)],4)
[1,2,4,3]=>[4,3,1,2]=>000=>([(0,3),(2,1),(3,2)],4)
[1,3,2,4]=>[4,2,3,1]=>000=>([(0,3),(2,1),(3,2)],4)
[1,3,4,2]=>[4,2,1,3]=>000=>([(0,3),(2,1),(3,2)],4)
[1,4,2,3]=>[4,1,3,2]=>000=>([(0,3),(2,1),(3,2)],4)
[1,4,3,2]=>[4,1,2,3]=>000=>([(0,3),(2,1),(3,2)],4)
[2,1,3,4]=>[3,4,2,1]=>000=>([(0,3),(2,1),(3,2)],4)
[2,1,4,3]=>[3,4,1,2]=>000=>([(0,3),(2,1),(3,2)],4)
[2,3,1,4]=>[3,2,4,1]=>000=>([(0,3),(2,1),(3,2)],4)
[2,3,4,1]=>[3,2,1,4]=>001=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[2,4,1,3]=>[3,1,4,2]=>000=>([(0,3),(2,1),(3,2)],4)
[2,4,3,1]=>[3,1,2,4]=>001=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[3,1,2,4]=>[2,4,3,1]=>000=>([(0,3),(2,1),(3,2)],4)
[3,1,4,2]=>[2,4,1,3]=>000=>([(0,3),(2,1),(3,2)],4)
[3,2,1,4]=>[2,3,4,1]=>000=>([(0,3),(2,1),(3,2)],4)
[3,2,4,1]=>[2,3,1,4]=>001=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[3,4,1,2]=>[2,1,4,3]=>010=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[3,4,2,1]=>[2,1,3,4]=>011=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[4,1,2,3]=>[1,4,3,2]=>100=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[4,1,3,2]=>[1,4,2,3]=>100=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[4,2,1,3]=>[1,3,4,2]=>100=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[4,2,3,1]=>[1,3,2,4]=>101=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[4,3,1,2]=>[1,2,4,3]=>110=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[4,3,2,1]=>[1,2,3,4]=>111=>([(0,3),(2,1),(3,2)],4)
[1,2,3,4,5]=>[5,4,3,2,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,3,5,4]=>[5,4,3,1,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,4,3,5]=>[5,4,2,3,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,4,5,3]=>[5,4,2,1,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,5,3,4]=>[5,4,1,3,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,5,4,3]=>[5,4,1,2,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,3,2,4,5]=>[5,3,4,2,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,3,2,5,4]=>[5,3,4,1,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,3,4,2,5]=>[5,3,2,4,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,3,4,5,2]=>[5,3,2,1,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,3,5,2,4]=>[5,3,1,4,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,3,5,4,2]=>[5,3,1,2,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,4,2,3,5]=>[5,2,4,3,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,4,2,5,3]=>[5,2,4,1,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,4,3,2,5]=>[5,2,3,4,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,4,3,5,2]=>[5,2,3,1,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,4,5,2,3]=>[5,2,1,4,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,4,5,3,2]=>[5,2,1,3,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,2,3,4]=>[5,1,4,3,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,2,4,3]=>[5,1,4,2,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,3,2,4]=>[5,1,3,4,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,3,4,2]=>[5,1,3,2,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,4,2,3]=>[5,1,2,4,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,4,3,2]=>[5,1,2,3,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,1,3,4,5]=>[4,5,3,2,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,1,3,5,4]=>[4,5,3,1,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,1,4,3,5]=>[4,5,2,3,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,1,4,5,3]=>[4,5,2,1,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,1,5,3,4]=>[4,5,1,3,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,1,5,4,3]=>[4,5,1,2,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,3,1,4,5]=>[4,3,5,2,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,3,1,5,4]=>[4,3,5,1,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,3,4,1,5]=>[4,3,2,5,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,3,4,5,1]=>[4,3,2,1,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[2,3,5,1,4]=>[4,3,1,5,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,3,5,4,1]=>[4,3,1,2,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[2,4,1,3,5]=>[4,2,5,3,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,4,1,5,3]=>[4,2,5,1,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,4,3,1,5]=>[4,2,3,5,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,4,3,5,1]=>[4,2,3,1,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[2,4,5,1,3]=>[4,2,1,5,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,4,5,3,1]=>[4,2,1,3,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[2,5,1,3,4]=>[4,1,5,3,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,5,1,4,3]=>[4,1,5,2,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,5,3,1,4]=>[4,1,3,5,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,5,3,4,1]=>[4,1,3,2,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[2,5,4,1,3]=>[4,1,2,5,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,5,4,3,1]=>[4,1,2,3,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[3,1,2,4,5]=>[3,5,4,2,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,1,2,5,4]=>[3,5,4,1,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,1,4,2,5]=>[3,5,2,4,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,1,4,5,2]=>[3,5,2,1,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,1,5,2,4]=>[3,5,1,4,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,1,5,4,2]=>[3,5,1,2,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,2,1,4,5]=>[3,4,5,2,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,2,1,5,4]=>[3,4,5,1,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,2,4,1,5]=>[3,4,2,5,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,2,4,5,1]=>[3,4,2,1,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[3,2,5,1,4]=>[3,4,1,5,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,2,5,4,1]=>[3,4,1,2,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[3,4,1,2,5]=>[3,2,5,4,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,4,1,5,2]=>[3,2,5,1,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,4,2,1,5]=>[3,2,4,5,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,4,2,5,1]=>[3,2,4,1,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[3,4,5,1,2]=>[3,2,1,5,4]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[3,4,5,2,1]=>[3,2,1,4,5]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[3,5,1,2,4]=>[3,1,5,4,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,5,1,4,2]=>[3,1,5,2,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,5,2,1,4]=>[3,1,4,5,2]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[3,5,2,4,1]=>[3,1,4,2,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[3,5,4,1,2]=>[3,1,2,5,4]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[3,5,4,2,1]=>[3,1,2,4,5]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[4,1,2,3,5]=>[2,5,4,3,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,1,2,5,3]=>[2,5,4,1,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,1,3,2,5]=>[2,5,3,4,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,1,3,5,2]=>[2,5,3,1,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,1,5,2,3]=>[2,5,1,4,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,1,5,3,2]=>[2,5,1,3,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,2,1,3,5]=>[2,4,5,3,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,2,1,5,3]=>[2,4,5,1,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,2,3,1,5]=>[2,4,3,5,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,2,3,5,1]=>[2,4,3,1,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[4,2,5,1,3]=>[2,4,1,5,3]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,2,5,3,1]=>[2,4,1,3,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[4,3,1,2,5]=>[2,3,5,4,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,3,1,5,2]=>[2,3,5,1,4]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,3,2,1,5]=>[2,3,4,5,1]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
[4,3,2,5,1]=>[2,3,4,1,5]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[4,3,5,1,2]=>[2,3,1,5,4]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[4,3,5,2,1]=>[2,3,1,4,5]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[4,5,1,2,3]=>[2,1,5,4,3]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[4,5,1,3,2]=>[2,1,5,3,4]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[4,5,2,1,3]=>[2,1,4,5,3]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[4,5,2,3,1]=>[2,1,4,3,5]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[4,5,3,1,2]=>[2,1,3,5,4]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)
[4,5,3,2,1]=>[2,1,3,4,5]=>0111=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,1,2,3,4]=>[1,5,4,3,2]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,1,2,4,3]=>[1,5,4,2,3]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,1,3,2,4]=>[1,5,3,4,2]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,1,3,4,2]=>[1,5,3,2,4]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,1,4,2,3]=>[1,5,2,4,3]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,1,4,3,2]=>[1,5,2,3,4]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,2,1,3,4]=>[1,4,5,3,2]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,2,1,4,3]=>[1,4,5,2,3]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,2,3,1,4]=>[1,4,3,5,2]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,2,3,4,1]=>[1,4,3,2,5]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)
[5,2,4,1,3]=>[1,4,2,5,3]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,2,4,3,1]=>[1,4,2,3,5]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)
[5,3,1,2,4]=>[1,3,5,4,2]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,3,1,4,2]=>[1,3,5,2,4]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,3,2,1,4]=>[1,3,4,5,2]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,3,2,4,1]=>[1,3,4,2,5]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)
[5,3,4,1,2]=>[1,3,2,5,4]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[5,3,4,2,1]=>[1,3,2,4,5]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[5,4,1,2,3]=>[1,2,5,4,3]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[5,4,1,3,2]=>[1,2,5,3,4]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[5,4,2,1,3]=>[1,2,4,5,3]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[5,4,2,3,1]=>[1,2,4,3,5]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[5,4,3,1,2]=>[1,2,3,5,4]=>1110=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,4,3,2,1]=>[1,2,3,4,5]=>1111=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,3,5,6,4]=>[5,6,4,2,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,4,5,3,6]=>[5,6,3,2,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,4,5,6,3]=>[5,6,3,2,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,4,6,5,3]=>[5,6,3,1,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,5,3,6,4]=>[5,6,2,4,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,5,4,6,3]=>[5,6,2,3,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,5,6,4,3]=>[5,6,2,1,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,6,5,3,4]=>[5,6,1,2,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,1,4,6,5]=>[5,4,6,3,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,1,5,4,6]=>[5,4,6,2,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,1,5,6,4]=>[5,4,6,2,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,1,6,5,4]=>[5,4,6,1,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,4,1,6,5]=>[5,4,3,6,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,4,6,5,1]=>[5,4,3,1,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,5,1,6,4]=>[5,4,2,6,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,5,4,1,6]=>[5,4,2,3,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,5,4,6,1]=>[5,4,2,3,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,3,5,6,1,4]=>[5,4,2,1,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,5,6,4,1]=>[5,4,2,1,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,6,1,5,4]=>[5,4,1,6,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,6,4,1,5]=>[5,4,1,3,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,6,4,5,1]=>[5,4,1,3,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,3,6,5,1,4]=>[5,4,1,2,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,3,6,5,4,1]=>[5,4,1,2,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,1,5,3,6]=>[5,3,6,2,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,1,5,6,3]=>[5,3,6,2,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,1,6,5,3]=>[5,3,6,1,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,3,1,5,6]=>[5,3,4,6,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,3,1,6,5]=>[5,3,4,6,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,3,5,1,6]=>[5,3,4,2,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,3,5,6,1]=>[5,3,4,2,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,4,3,6,1,5]=>[5,3,4,1,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,3,6,5,1]=>[5,3,4,1,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,4,5,1,3,6]=>[5,3,2,6,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,5,1,6,3]=>[5,3,2,6,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,5,3,1,6]=>[5,3,2,4,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,5,3,6,1]=>[5,3,2,4,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,4,5,6,1,3]=>[5,3,2,1,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,5,6,3,1]=>[5,3,2,1,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,6,1,5,3]=>[5,3,1,6,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,6,3,1,5]=>[5,3,1,4,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,6,3,5,1]=>[5,3,1,4,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,4,6,5,1,3]=>[5,3,1,2,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,4,6,5,3,1]=>[5,3,1,2,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,1,3,6,4]=>[5,2,6,4,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,1,4,6,3]=>[5,2,6,3,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,1,6,3,4]=>[5,2,6,1,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,1,6,4,3]=>[5,2,6,1,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,3,1,6,4]=>[5,2,4,6,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,3,4,1,6]=>[5,2,4,3,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,3,4,6,1]=>[5,2,4,3,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,5,3,6,1,4]=>[5,2,4,1,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,3,6,4,1]=>[5,2,4,1,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,4,1,6,3]=>[5,2,3,6,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,4,3,1,6]=>[5,2,3,4,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,4,3,6,1]=>[5,2,3,4,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,5,4,6,1,3]=>[5,2,3,1,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,4,6,3,1]=>[5,2,3,1,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,6,3,1,4]=>[5,2,1,4,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,6,3,4,1]=>[5,2,1,4,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,5,6,4,1,3]=>[5,2,1,3,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,5,6,4,3,1]=>[5,2,1,3,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,1,4,5,3]=>[5,1,6,3,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,1,5,3,4]=>[5,1,6,2,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,3,1,4,5]=>[5,1,4,6,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,3,1,5,4]=>[5,1,4,6,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,3,4,5,1]=>[5,1,4,3,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,6,3,5,1,4]=>[5,1,4,2,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,3,5,4,1]=>[5,1,4,2,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,4,1,5,3]=>[5,1,3,6,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,4,3,5,1]=>[5,1,3,4,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,6,4,5,1,3]=>[5,1,3,2,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,4,5,3,1]=>[5,1,3,2,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,6,5,1,3,4]=>[5,1,2,6,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,5,3,1,4]=>[5,1,2,4,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,5,3,4,1]=>[5,1,2,4,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,4,2,6,5]=>[4,6,3,5,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,4,5,2,6]=>[4,6,3,2,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,4,5,6,2]=>[4,6,3,2,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,4,6,2,5]=>[4,6,3,1,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,4,6,5,2]=>[4,6,3,1,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,5,4,2,6]=>[4,6,2,3,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,5,6,2,4]=>[4,6,2,1,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,5,6,4,2]=>[4,6,2,1,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,6,4,2,5]=>[4,6,1,3,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,6,4,5,2]=>[4,6,1,3,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,1,5,6,4]=>[4,5,6,2,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,1,6,4,5]=>[4,5,6,1,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,4,1,6,5]=>[4,5,3,6,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,2,4,6,1,5]=>[4,5,3,1,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,4,6,5,1]=>[4,5,3,1,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,5,1,6,4]=>[4,5,2,6,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,5,4,1,6]=>[4,5,2,3,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,5,4,6,1]=>[4,5,2,3,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,2,5,6,1,4]=>[4,5,2,1,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,5,6,4,1]=>[4,5,2,1,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,6,4,1,5]=>[4,5,1,3,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,6,4,5,1]=>[4,5,1,3,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,1,5,2,6]=>[4,3,6,2,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,1,5,6,2]=>[4,3,6,2,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,1,6,2,5]=>[4,3,6,1,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,1,6,5,2]=>[4,3,6,1,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,2,1,6,5]=>[4,3,5,6,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,4,2,6,1,5]=>[4,3,5,1,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,2,6,5,1]=>[4,3,5,1,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,5,1,6,2]=>[4,3,2,6,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,6,1,5,2]=>[4,3,1,6,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,6,2,1,5]=>[4,3,1,5,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,4,6,2,5,1]=>[4,3,1,5,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,4,6,5,1,2]=>[4,3,1,2,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[3,4,6,5,2,1]=>[4,3,1,2,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,1,2,6,4]=>[4,2,6,5,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,1,4,6,2]=>[4,2,6,3,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,1,6,4,2]=>[4,2,6,1,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,2,1,6,4]=>[4,2,5,6,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,2,4,1,6]=>[4,2,5,3,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,2,4,6,1]=>[4,2,5,3,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,5,2,6,1,4]=>[4,2,5,1,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,2,6,4,1]=>[4,2,5,1,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,5,4,1,2,6]=>[4,2,3,6,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,4,1,6,2]=>[4,2,3,6,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,4,2,1,6]=>[4,2,3,5,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,4,2,6,1]=>[4,2,3,5,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,5,4,6,1,2]=>[4,2,3,1,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[3,5,4,6,2,1]=>[4,2,3,1,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,6,1,4,2]=>[4,2,1,6,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,6,2,1,4]=>[4,2,1,5,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,5,6,2,4,1]=>[4,2,1,5,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,5,6,4,1,2]=>[4,2,1,3,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[3,5,6,4,2,1]=>[4,2,1,3,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,1,4,2,5]=>[4,1,6,3,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,2,4,1,5]=>[4,1,5,3,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,2,4,5,1]=>[4,1,5,3,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,6,4,1,2,5]=>[4,1,3,6,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,4,1,5,2]=>[4,1,3,6,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,4,2,1,5]=>[4,1,3,5,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,4,2,5,1]=>[4,1,3,5,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,6,4,5,1,2]=>[4,1,3,2,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[3,6,4,5,2,1]=>[4,1,3,2,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,3,5,6,2]=>[3,6,4,2,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,3,6,5,2]=>[3,6,4,1,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,5,3,6,2]=>[3,6,2,4,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,5,6,2,3]=>[3,6,2,1,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,5,6,3,2]=>[3,6,2,1,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,6,2,5,3]=>[3,6,1,5,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,6,3,5,2]=>[3,6,1,4,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,1,5,3,6]=>[3,5,6,2,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,1,5,6,3]=>[3,5,6,2,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,3,6,5,1]=>[3,5,4,1,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,5,1,6,3]=>[3,5,2,6,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,5,3,1,6]=>[3,5,2,4,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,5,3,6,1]=>[3,5,2,4,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,2,5,6,1,3]=>[3,5,2,1,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,5,6,3,1]=>[3,5,2,1,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,6,3,1,5]=>[3,5,1,4,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,6,3,5,1]=>[3,5,1,4,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,1,5,6,2]=>[3,4,6,2,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,5,1,6,2]=>[3,4,2,6,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,1,2,6,3]=>[3,2,6,5,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,1,3,2,6]=>[3,2,6,4,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,1,3,6,2]=>[3,2,6,4,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,1,6,3,2]=>[3,2,6,1,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,2,1,6,3]=>[3,2,5,6,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,5,2,6,1,3]=>[3,2,5,1,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,2,6,3,1]=>[3,2,5,1,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,3,1,6,2]=>[3,2,4,6,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[4,5,6,1,3,2]=>[3,2,1,6,4,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,1,2,5,3]=>[3,1,6,5,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,1,3,5,2]=>[3,1,6,4,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,1,5,2,3]=>[3,1,6,2,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,2,3,1,5]=>[3,1,5,4,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,2,3,5,1]=>[3,1,5,4,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[4,6,5,1,2,3]=>[3,1,2,6,5,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,2,4,6,3]=>[2,6,5,3,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,3,2,6,4]=>[2,6,4,5,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,3,4,2,6]=>[2,6,4,3,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,3,6,2,4]=>[2,6,4,1,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,3,6,4,2]=>[2,6,4,1,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,4,6,2,3]=>[2,6,3,1,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,4,6,3,2]=>[2,6,3,1,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,6,3,4,2]=>[2,6,1,4,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,1,3,6,4]=>[2,5,6,4,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,1,4,6,3]=>[2,5,6,3,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,1,6,3,4]=>[2,5,6,1,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,3,1,6,4]=>[2,5,4,6,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,3,6,4,1]=>[2,5,4,1,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,4,1,6,3]=>[2,5,3,6,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,4,3,6,1]=>[2,5,3,4,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,2,4,6,1,3]=>[2,5,3,1,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,4,6,3,1]=>[2,5,3,1,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,2,6,1,3,4]=>[2,5,1,6,4,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,6,3,1,4]=>[2,5,1,4,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,6,3,4,1]=>[2,5,1,4,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,1,4,6,2]=>[2,4,6,3,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,1,6,2,4]=>[2,4,6,1,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,2,6,4,1]=>[2,4,5,1,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,4,1,6,2]=>[2,4,3,6,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[5,3,6,1,2,4]=>[2,4,1,6,5,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,1,3,6,2]=>[2,3,6,4,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,1,2,4,3]=>[2,1,6,5,3,4]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,1,3,2,4]=>[2,1,6,4,5,3]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,1,3,4,2]=>[2,1,6,4,3,5]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,1,4,2,3]=>[2,1,6,3,5,4]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>01111=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,2,4,5,3]=>[1,6,5,3,2,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,3,4,2,5]=>[1,6,4,3,5,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,3,4,5,2]=>[1,6,4,3,2,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,3,5,4,2]=>[1,6,4,2,3,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,4,3,5,2]=>[1,6,3,4,2,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,4,5,2,3]=>[1,6,3,2,5,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,4,5,3,2]=>[1,6,3,2,4,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,5,3,4,2]=>[1,6,2,4,3,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,1,4,5,3]=>[1,5,6,3,2,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,1,5,3,4]=>[1,5,6,2,4,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,3,1,5,4]=>[1,5,4,6,2,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,2,3,5,1,4]=>[1,5,4,2,6,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,4,1,5,3]=>[1,5,3,6,2,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,4,3,1,5]=>[1,5,3,4,6,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,2,4,5,1,3]=>[1,5,3,2,6,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,4,5,3,1]=>[1,5,3,2,4,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,5,3,1,4]=>[1,5,2,4,6,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,5,3,4,1]=>[1,5,2,4,3,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,1,4,5,2]=>[1,4,6,3,2,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,4,1,5,2]=>[1,4,3,6,2,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,1,3,5,2]=>[1,3,6,4,2,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,1,3,4,2]=>[1,2,6,4,3,5]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>11110=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>11111=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,4,7,5,3]=>[6,7,2,4,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,5,3,7,4]=>[6,7,2,3,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,5,4,7,3]=>[6,7,2,3,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,5,7,3,4]=>[6,7,2,3,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,5,7,4,3]=>[6,7,2,3,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,7,3,5,4]=>[6,7,2,1,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,7,4,3,5]=>[6,7,2,1,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,7,4,5,3]=>[6,7,2,1,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,6,7,5,4,3]=>[6,7,2,1,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,3,5,6,4]=>[6,7,1,5,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,4,5,3,6]=>[6,7,1,4,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,5,3,6,4]=>[6,7,1,3,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,5,6,3,4]=>[6,7,1,3,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,5,6,4,3]=>[6,7,1,3,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,6,4,5,3]=>[6,7,1,2,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,4,7,6,5]=>[6,5,7,4,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,5,7,6,4]=>[6,5,7,3,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,6,5,4,7]=>[6,5,7,2,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,6,5,7,4]=>[6,5,7,2,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,6,7,5,4]=>[6,5,7,2,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,7,4,6,5]=>[6,5,7,1,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,7,5,4,6]=>[6,5,7,1,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,7,5,6,4]=>[6,5,7,1,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,7,6,4,5]=>[6,5,7,1,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,1,7,6,5,4]=>[6,5,7,1,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,1,7,6,5]=>[6,5,4,7,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,5,7,6,1]=>[6,5,4,3,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,6,5,1,7]=>[6,5,4,2,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,6,5,7,1]=>[6,5,4,2,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,6,7,5,1]=>[6,5,4,2,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,7,1,6,5]=>[6,5,4,1,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,7,5,1,6]=>[6,5,4,1,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,7,5,6,1]=>[6,5,4,1,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,4,7,6,1,5]=>[6,5,4,1,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,4,7,6,5,1]=>[6,5,4,1,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,1,7,6,4]=>[6,5,3,7,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,4,1,6,7]=>[6,5,3,4,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,4,1,7,6]=>[6,5,3,4,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,4,6,1,7]=>[6,5,3,4,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,4,6,7,1]=>[6,5,3,4,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,5,4,7,1,6]=>[6,5,3,4,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,4,7,6,1]=>[6,5,3,4,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,6,4,1,7]=>[6,5,3,2,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,6,4,7,1]=>[6,5,3,2,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,7,1,6,4]=>[6,5,3,1,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,7,4,1,6]=>[6,5,3,1,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,7,4,6,1]=>[6,5,3,1,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,5,7,6,1,4]=>[6,5,3,1,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,5,7,6,4,1]=>[6,5,3,1,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,1,5,4,7]=>[6,5,2,7,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,1,5,7,4]=>[6,5,2,7,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,1,7,5,4]=>[6,5,2,7,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,4,1,5,7]=>[6,5,2,4,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,4,1,7,5]=>[6,5,2,4,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,4,5,1,7]=>[6,5,2,4,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,4,5,7,1]=>[6,5,2,4,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,6,4,7,1,5]=>[6,5,2,4,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,4,7,5,1]=>[6,5,2,4,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,6,5,1,4,7]=>[6,5,2,3,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,5,4,1,7]=>[6,5,2,3,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,5,4,7,1]=>[6,5,2,3,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,6,5,7,1,4]=>[6,5,2,3,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,7,1,5,4]=>[6,5,2,1,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,7,4,1,5]=>[6,5,2,1,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,7,4,5,1]=>[6,5,2,1,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,6,7,5,1,4]=>[6,5,2,1,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,1,4,6,5]=>[6,5,1,7,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,1,5,4,6]=>[6,5,1,7,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,1,5,6,4]=>[6,5,1,7,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,1,6,4,5]=>[6,5,1,7,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,1,6,5,4]=>[6,5,1,7,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,4,1,6,5]=>[6,5,1,4,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,4,5,1,6]=>[6,5,1,4,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,4,5,6,1]=>[6,5,1,4,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,7,4,6,1,5]=>[6,5,1,4,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,4,6,5,1]=>[6,5,1,4,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,7,5,1,4,6]=>[6,5,1,3,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,5,1,6,4]=>[6,5,1,3,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,5,4,1,6]=>[6,5,1,3,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,5,4,6,1]=>[6,5,1,3,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,7,5,6,1,4]=>[6,5,1,3,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,5,6,4,1]=>[6,5,1,3,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,7,6,1,4,5]=>[6,5,1,2,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,6,1,5,4]=>[6,5,1,2,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,6,4,1,5]=>[6,5,1,2,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,6,4,5,1]=>[6,5,1,2,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,3,7,6,5,1,4]=>[6,5,1,2,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,3,7,6,5,4,1]=>[6,5,1,2,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,5,7,6,3]=>[6,4,7,3,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,5,4,1,7]=>[6,2,5,3,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,3,5,1,7]=>[6,2,4,5,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,5,3,1,7]=>[6,2,4,3,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,3,4,1,7]=>[6,2,3,5,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,4,3,7,1]=>[6,2,3,4,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,4,7,3,1]=>[6,2,3,4,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,5,7,4,1,3]=>[6,2,3,1,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,5,3,4,1]=>[6,1,2,3,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,5,7,6,4]=>[5,7,6,3,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,6,5,7,4]=>[5,7,6,2,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,6,7,5,4]=>[5,7,6,2,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,7,5,6,4]=>[5,7,6,1,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,2,7,6,5]=>[5,7,4,6,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,5,7,6,2]=>[5,7,4,3,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,6,5,2,7]=>[5,7,4,2,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,6,5,7,2]=>[5,7,4,2,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,6,7,5,2]=>[5,7,4,2,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,7,2,6,5]=>[5,7,4,1,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,7,5,2,6]=>[5,7,4,1,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,7,6,2,5]=>[5,7,4,1,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,4,7,6,5,2]=>[5,7,4,1,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,4,2,6,7]=>[5,7,3,4,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,4,2,7,6]=>[5,7,3,4,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,4,6,2,7]=>[5,7,3,4,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,4,6,7,2]=>[5,7,3,4,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,4,7,2,6]=>[5,7,3,4,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,4,7,6,2]=>[5,7,3,4,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,6,4,2,7]=>[5,7,3,2,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,6,4,7,2]=>[5,7,3,2,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,6,7,4,2]=>[5,7,3,2,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,7,2,6,4]=>[5,7,3,1,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,7,4,2,6]=>[5,7,3,1,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,7,4,6,2]=>[5,7,3,1,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,7,6,2,4]=>[5,7,3,1,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,5,7,6,4,2]=>[5,7,3,1,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,2,5,7,4]=>[5,7,2,6,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,2,7,5,4]=>[5,7,2,6,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,4,2,5,7]=>[5,7,2,4,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,4,5,2,7]=>[5,7,2,4,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,4,5,7,2]=>[5,7,2,4,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,4,7,2,5]=>[5,7,2,4,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,4,7,5,2]=>[5,7,2,4,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,5,2,7,4]=>[5,7,2,3,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,5,4,2,7]=>[5,7,2,3,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,5,4,7,2]=>[5,7,2,3,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,5,7,2,4]=>[5,7,2,3,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,5,7,4,2]=>[5,7,2,3,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,7,2,5,4]=>[5,7,2,1,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,7,4,2,5]=>[5,7,2,1,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,7,4,5,2]=>[5,7,2,1,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,7,5,2,4]=>[5,7,2,1,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,6,7,5,4,2]=>[5,7,2,1,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,2,5,6,4]=>[5,7,1,6,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,4,2,5,6]=>[5,7,1,4,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,4,2,6,5]=>[5,7,1,4,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,4,5,2,6]=>[5,7,1,4,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,4,5,6,2]=>[5,7,1,4,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,4,6,2,5]=>[5,7,1,4,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,4,6,5,2]=>[5,7,1,4,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,5,2,6,4]=>[5,7,1,3,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,5,4,2,6]=>[5,7,1,3,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,5,4,6,2]=>[5,7,1,3,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,6,4,2,5]=>[5,7,1,2,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,6,4,5,2]=>[5,7,1,2,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,4,6,7,5]=>[5,6,7,4,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,5,6,4,7]=>[5,6,7,3,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,5,6,7,4]=>[5,6,7,3,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,5,7,6,4]=>[5,6,7,3,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,6,4,7,5]=>[5,6,7,2,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,6,5,7,4]=>[5,6,7,2,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,6,7,5,4]=>[5,6,7,2,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,1,5,7,6]=>[5,6,4,7,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,1,6,5,7]=>[5,6,4,7,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,1,6,7,5]=>[5,6,4,7,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,1,7,5,6]=>[5,6,4,7,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,1,7,6,5]=>[5,6,4,7,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,5,1,7,6]=>[5,6,4,3,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,5,7,6,1]=>[5,6,4,3,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,6,1,7,5]=>[5,6,4,2,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,6,5,1,7]=>[5,6,4,2,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,4,6,7,1,5]=>[5,6,4,2,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,6,7,5,1]=>[5,6,4,2,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,7,1,6,5]=>[5,6,4,1,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,7,5,1,6]=>[5,6,4,1,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,7,5,6,1]=>[5,6,4,1,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,4,7,6,1,5]=>[5,6,4,1,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,4,7,6,5,1]=>[5,6,4,1,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,1,6,4,7]=>[5,6,3,7,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,1,6,7,4]=>[5,6,3,7,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,1,7,6,4]=>[5,6,3,7,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,4,1,6,7]=>[5,6,3,4,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,4,1,7,6]=>[5,6,3,4,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,4,6,1,7]=>[5,6,3,4,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,4,6,7,1]=>[5,6,3,4,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,5,4,7,1,6]=>[5,6,3,4,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,4,7,6,1]=>[5,6,3,4,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,5,6,1,4,7]=>[5,6,3,2,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,6,1,7,4]=>[5,6,3,2,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,6,4,1,7]=>[5,6,3,2,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,6,4,7,1]=>[5,6,3,2,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,5,6,7,1,4]=>[5,6,3,2,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,6,7,4,1]=>[5,6,3,2,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,7,1,6,4]=>[5,6,3,1,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,7,4,1,6]=>[5,6,3,1,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,7,4,6,1]=>[5,6,3,1,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,5,7,6,1,4]=>[5,6,3,1,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,5,7,6,4,1]=>[5,6,3,1,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,1,4,7,5]=>[5,6,2,7,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,1,5,7,4]=>[5,6,2,7,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,1,7,4,5]=>[5,6,2,7,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,1,7,5,4]=>[5,6,2,7,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,4,1,5,7]=>[5,6,2,4,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,4,1,7,5]=>[5,6,2,4,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,4,5,1,7]=>[5,6,2,4,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,4,5,7,1]=>[5,6,2,4,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,6,4,7,1,5]=>[5,6,2,4,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,4,7,5,1]=>[5,6,2,4,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,5,1,7,4]=>[5,6,2,3,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,5,4,1,7]=>[5,6,2,3,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,5,4,7,1]=>[5,6,2,3,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,7,1,5,4]=>[5,6,2,1,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,7,4,1,5]=>[5,6,2,1,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,7,4,5,1]=>[5,6,2,1,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,6,7,5,1,4]=>[5,6,2,1,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,6,7,5,4,1]=>[5,6,2,1,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,1,5,6,4]=>[5,6,1,7,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,4,1,5,6]=>[5,6,1,4,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,4,5,1,6]=>[5,6,1,4,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,4,5,6,1]=>[5,6,1,4,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,7,4,6,1,5]=>[5,6,1,4,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,4,6,5,1]=>[5,6,1,4,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,5,1,6,4]=>[5,6,1,3,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,5,4,1,6]=>[5,6,1,3,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,5,4,6,1]=>[5,6,1,3,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,7,5,6,1,4]=>[5,6,1,3,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,5,6,4,1]=>[5,6,1,3,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,6,4,1,5]=>[5,6,1,2,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,6,4,5,1]=>[5,6,1,2,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,5,7,6,2]=>[5,4,7,3,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,6,5,2,7]=>[5,4,7,2,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,6,5,7,2]=>[5,4,7,2,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,6,7,5,2]=>[5,4,7,2,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,7,2,6,5]=>[5,4,7,1,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,7,5,2,6]=>[5,4,7,1,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,7,5,6,2]=>[5,4,7,1,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,7,6,2,5]=>[5,4,7,1,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,1,7,6,5,2]=>[5,4,7,1,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,1,5,7,6]=>[5,4,6,7,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,1,6,5,7]=>[5,4,6,7,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,1,6,7,5]=>[5,4,6,7,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,1,7,5,6]=>[5,4,6,7,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,1,7,6,5]=>[5,4,6,7,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,5,1,7,6]=>[5,4,6,3,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,5,7,6,1]=>[5,4,6,3,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,6,1,7,5]=>[5,4,6,2,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,6,5,1,7]=>[5,4,6,2,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,6,5,7,1]=>[5,4,6,2,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,2,6,7,1,5]=>[5,4,6,2,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,6,7,5,1]=>[5,4,6,2,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,7,1,6,5]=>[5,4,6,1,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,7,5,1,6]=>[5,4,6,1,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,7,5,6,1]=>[5,4,6,1,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,2,7,6,1,5]=>[5,4,6,1,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,2,7,6,5,1]=>[5,4,6,1,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,1,7,6,2]=>[5,4,3,7,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,2,1,7,6]=>[5,4,3,6,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,2,7,6,1]=>[5,4,3,6,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,1,5,2,7]=>[5,4,2,7,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,1,5,7,2]=>[5,4,2,7,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,1,7,5,2]=>[5,4,2,7,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,2,1,7,5]=>[5,4,2,6,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,6,2,7,1,5]=>[5,4,2,6,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,2,7,5,1]=>[5,4,2,6,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,5,1,7,2]=>[5,4,2,3,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,5,2,1,7]=>[5,4,2,3,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,5,2,7,1]=>[5,4,2,3,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,6,5,7,1,2]=>[5,4,2,3,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,4,6,5,7,2,1]=>[5,4,2,3,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,7,1,5,2]=>[5,4,2,1,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,7,2,1,5]=>[5,4,2,1,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,6,7,2,5,1]=>[5,4,2,1,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,6,7,5,1,2]=>[5,4,2,1,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,4,6,7,5,2,1]=>[5,4,2,1,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,1,2,6,5]=>[5,4,1,7,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,1,5,2,6]=>[5,4,1,7,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,1,5,6,2]=>[5,4,1,7,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,1,6,2,5]=>[5,4,1,7,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,1,6,5,2]=>[5,4,1,7,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,2,1,6,5]=>[5,4,1,6,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,5,1,6,2]=>[5,4,1,3,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,5,2,1,6]=>[5,4,1,3,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,5,2,6,1]=>[5,4,1,3,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,7,5,6,1,2]=>[5,4,1,3,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,4,7,5,6,2,1]=>[5,4,1,3,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,6,1,5,2]=>[5,4,1,2,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,6,2,1,5]=>[5,4,1,2,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,4,7,6,2,5,1]=>[5,4,1,2,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,4,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,4,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,2,7,6,4]=>[5,3,7,6,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,4,6,2,7]=>[5,3,7,4,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,4,6,7,2]=>[5,3,7,4,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,4,7,2,6]=>[5,3,7,4,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,4,7,6,2]=>[5,3,7,4,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,6,4,2,7]=>[5,3,7,2,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,6,4,7,2]=>[5,3,7,2,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,6,7,4,2]=>[5,3,7,2,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,7,4,2,6]=>[5,3,7,1,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,7,4,6,2]=>[5,3,7,1,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,7,6,2,4]=>[5,3,7,1,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,1,7,6,4,2]=>[5,3,7,1,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,1,6,4,7]=>[5,3,6,7,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,1,6,7,4]=>[5,3,6,7,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,1,7,6,4]=>[5,3,6,7,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,4,1,6,7]=>[5,3,6,4,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,4,1,7,6]=>[5,3,6,4,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,4,7,6,1]=>[5,3,6,4,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,2,6,1,4,7]=>[5,3,6,2,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,6,4,1,7]=>[5,3,6,2,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,6,4,7,1]=>[5,3,6,2,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,2,6,7,1,4]=>[5,3,6,2,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,6,7,4,1]=>[5,3,6,2,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,7,1,6,4]=>[5,3,6,1,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,7,4,1,6]=>[5,3,6,1,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,7,4,6,1]=>[5,3,6,1,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,2,7,6,1,4]=>[5,3,6,1,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,2,7,6,4,1]=>[5,3,6,1,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,1,2,7,6]=>[5,3,4,7,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,1,6,2,7]=>[5,3,4,7,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,1,6,7,2]=>[5,3,4,7,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,1,7,2,6]=>[5,3,4,7,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,1,7,6,2]=>[5,3,4,7,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,2,1,6,7]=>[5,3,4,6,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,2,1,7,6]=>[5,3,4,6,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,2,6,1,7]=>[5,3,4,6,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,4,2,7,1,6]=>[5,3,4,6,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,2,7,6,1]=>[5,3,4,6,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,4,6,1,2,7]=>[5,3,4,2,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,6,1,7,2]=>[5,3,4,2,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,6,2,1,7]=>[5,3,4,2,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,4,6,7,1,2]=>[5,3,4,2,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,5,4,6,7,2,1]=>[5,3,4,2,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,5,4,7,1,2,6]=>[5,3,4,1,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,7,1,6,2]=>[5,3,4,1,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,7,2,1,6]=>[5,3,4,1,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,4,7,2,6,1]=>[5,3,4,1,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,4,7,6,1,2]=>[5,3,4,1,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,5,4,7,6,2,1]=>[5,3,4,1,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,1,4,2,7]=>[5,3,2,7,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,1,4,7,2]=>[5,3,2,7,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,1,7,4,2]=>[5,3,2,7,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,2,1,4,7]=>[5,3,2,6,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,2,1,7,4]=>[5,3,2,6,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,2,4,1,7]=>[5,3,2,6,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,6,4,1,2,7]=>[5,3,2,4,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,4,1,7,2]=>[5,3,2,4,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,4,2,1,7]=>[5,3,2,4,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,6,4,7,1,2]=>[5,3,2,4,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,7,1,4,2]=>[5,3,2,1,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,7,2,1,4]=>[5,3,2,1,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,6,7,2,4,1]=>[5,3,2,1,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,6,7,4,1,2]=>[5,3,2,1,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,1,2,6,4]=>[5,3,1,7,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,1,4,2,6]=>[5,3,1,7,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,2,1,6,4]=>[5,3,1,6,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,2,4,1,6]=>[5,3,1,6,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,2,4,6,1]=>[5,3,1,6,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,7,2,6,1,4]=>[5,3,1,6,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,2,6,4,1]=>[5,3,1,6,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,4,2,1,6]=>[5,3,1,4,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,4,2,6,1]=>[5,3,1,4,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,7,4,6,1,2]=>[5,3,1,4,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,5,7,4,6,2,1]=>[5,3,1,4,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,5,7,6,1,2,4]=>[5,3,1,2,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,6,1,4,2]=>[5,3,1,2,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,5,7,6,2,4,1]=>[5,3,1,2,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,5,7,6,4,1,2]=>[5,3,1,2,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,2,5,7,4]=>[5,2,7,6,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,2,7,5,4]=>[5,2,7,6,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,4,2,5,7]=>[5,2,7,4,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,4,2,7,5]=>[5,2,7,4,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,4,5,7,2]=>[5,2,7,4,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,4,7,5,2]=>[5,2,7,4,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,5,2,7,4]=>[5,2,7,3,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,5,4,7,2]=>[5,2,7,3,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,5,7,2,4]=>[5,2,7,3,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,5,7,4,2]=>[5,2,7,3,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,7,2,5,4]=>[5,2,7,1,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,7,4,2,5]=>[5,2,7,1,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,7,4,5,2]=>[5,2,7,1,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,1,7,5,4,2]=>[5,2,7,1,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,1,4,7,5]=>[5,2,6,7,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,1,5,7,4]=>[5,2,6,7,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,1,7,4,5]=>[5,2,6,7,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,1,7,5,4]=>[5,2,6,7,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,4,1,7,5]=>[5,2,6,4,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,2,4,7,1,5]=>[5,2,6,4,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,4,7,5,1]=>[5,2,6,4,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,5,1,7,4]=>[5,2,6,3,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,5,4,1,7]=>[5,2,6,3,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,5,4,7,1]=>[5,2,6,3,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,2,5,7,1,4]=>[5,2,6,3,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,5,7,4,1]=>[5,2,6,3,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,2,7,1,4,5]=>[5,2,6,1,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,7,1,5,4]=>[5,2,6,1,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,7,4,1,5]=>[5,2,6,1,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,7,4,5,1]=>[5,2,6,1,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,2,7,5,1,4]=>[5,2,6,1,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,2,7,5,4,1]=>[5,2,6,1,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,1,2,7,5]=>[5,2,4,7,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,1,5,2,7]=>[5,2,4,7,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,1,5,7,2]=>[5,2,4,7,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,1,7,2,5]=>[5,2,4,7,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,1,7,5,2]=>[5,2,4,7,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,2,1,5,7]=>[5,2,4,6,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,2,1,7,5]=>[5,2,4,6,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,2,5,1,7]=>[5,2,4,6,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,2,5,7,1]=>[5,2,4,6,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,4,2,7,1,5]=>[5,2,4,6,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,2,7,5,1]=>[5,2,4,6,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,4,5,1,2,7]=>[5,2,4,3,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,5,1,7,2]=>[5,2,4,3,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,5,2,1,7]=>[5,2,4,3,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,5,2,7,1]=>[5,2,4,3,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,4,5,7,1,2]=>[5,2,4,3,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,6,4,5,7,2,1]=>[5,2,4,3,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,6,4,7,1,2,5]=>[5,2,4,1,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,7,1,5,2]=>[5,2,4,1,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,7,2,1,5]=>[5,2,4,1,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,4,7,2,5,1]=>[5,2,4,1,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,4,7,5,1,2]=>[5,2,4,1,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,6,4,7,5,2,1]=>[5,2,4,1,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,1,2,7,4]=>[5,2,3,7,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,1,4,2,7]=>[5,2,3,7,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,1,4,7,2]=>[5,2,3,7,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,1,7,2,4]=>[5,2,3,7,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,1,7,4,2]=>[5,2,3,7,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,2,1,7,4]=>[5,2,3,6,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,2,4,1,7]=>[5,2,3,6,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,2,4,7,1]=>[5,2,3,6,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,5,2,7,1,4]=>[5,2,3,6,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,2,7,4,1]=>[5,2,3,6,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,5,4,1,2,7]=>[5,2,3,4,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,4,1,7,2]=>[5,2,3,4,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,4,2,1,7]=>[5,2,3,4,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,4,2,7,1]=>[5,2,3,4,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,5,4,7,1,2]=>[5,2,3,4,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,6,5,4,7,2,1]=>[5,2,3,4,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,6,5,7,1,2,4]=>[5,2,3,1,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,7,1,4,2]=>[5,2,3,1,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,7,2,1,4]=>[5,2,3,1,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,5,7,2,4,1]=>[5,2,3,1,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,5,7,4,1,2]=>[5,2,3,1,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,6,5,7,4,2,1]=>[5,2,3,1,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,1,2,5,4]=>[5,2,1,7,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,1,4,2,5]=>[5,2,1,7,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,1,4,5,2]=>[5,2,1,7,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,1,5,2,4]=>[5,2,1,7,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,1,5,4,2]=>[5,2,1,7,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,2,1,4,5]=>[5,2,1,6,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,2,1,5,4]=>[5,2,1,6,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,2,4,1,5]=>[5,2,1,6,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,2,4,5,1]=>[5,2,1,6,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,7,2,5,1,4]=>[5,2,1,6,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,2,5,4,1]=>[5,2,1,6,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,4,1,5,2]=>[5,2,1,4,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,4,2,1,5]=>[5,2,1,4,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,4,2,5,1]=>[5,2,1,4,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,7,4,5,1,2]=>[5,2,1,4,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,6,7,4,5,2,1]=>[5,2,1,4,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,6,7,5,1,2,4]=>[5,2,1,3,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,5,1,4,2]=>[5,2,1,3,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,5,2,1,4]=>[5,2,1,3,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,6,7,5,2,4,1]=>[5,2,1,3,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,6,7,5,4,1,2]=>[5,2,1,3,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,6,7,5,4,2,1]=>[5,2,1,3,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,2,5,6,4]=>[5,1,7,6,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,4,2,5,6]=>[5,1,7,4,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,4,2,6,5]=>[5,1,7,4,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,4,5,2,6]=>[5,1,7,4,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,4,6,2,5]=>[5,1,7,4,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,5,2,6,4]=>[5,1,7,3,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,5,4,2,6]=>[5,1,7,3,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,5,6,2,4]=>[5,1,7,3,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,5,6,4,2]=>[5,1,7,3,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,6,4,2,5]=>[5,1,7,2,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,6,4,5,2]=>[5,1,7,2,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,1,5,6,4]=>[5,1,6,7,3,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,4,1,6,5]=>[5,1,6,4,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,4,6,5,1]=>[5,1,6,4,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,5,1,6,4]=>[5,1,6,3,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,5,4,1,6]=>[5,1,6,3,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,5,4,6,1]=>[5,1,6,3,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,2,5,6,1,4]=>[5,1,6,3,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,5,6,4,1]=>[5,1,6,3,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,6,4,1,5]=>[5,1,6,2,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,6,4,5,1]=>[5,1,6,2,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,1,2,6,5]=>[5,1,4,7,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,1,5,2,6]=>[5,1,4,7,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,1,5,6,2]=>[5,1,4,7,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,1,6,2,5]=>[5,1,4,7,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,1,6,5,2]=>[5,1,4,7,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,2,1,5,6]=>[5,1,4,6,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,2,1,6,5]=>[5,1,4,6,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,2,5,1,6]=>[5,1,4,6,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,2,5,6,1]=>[5,1,4,6,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,4,2,6,1,5]=>[5,1,4,6,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,2,6,5,1]=>[5,1,4,6,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,4,5,1,2,6]=>[5,1,4,3,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,5,1,6,2]=>[5,1,4,3,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,5,2,1,6]=>[5,1,4,3,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,5,2,6,1]=>[5,1,4,3,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,4,5,6,1,2]=>[5,1,4,3,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,7,4,5,6,2,1]=>[5,1,4,3,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,7,4,6,1,2,5]=>[5,1,4,2,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,6,1,5,2]=>[5,1,4,2,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,6,2,1,5]=>[5,1,4,2,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,4,6,2,5,1]=>[5,1,4,2,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,4,6,5,1,2]=>[5,1,4,2,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,7,4,6,5,2,1]=>[5,1,4,2,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,1,4,2,6]=>[5,1,3,7,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,1,4,6,2]=>[5,1,3,7,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,1,6,2,4]=>[5,1,3,7,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,1,6,4,2]=>[5,1,3,7,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,2,1,6,4]=>[5,1,3,6,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,2,4,1,6]=>[5,1,3,6,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,2,4,6,1]=>[5,1,3,6,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,5,2,6,1,4]=>[5,1,3,6,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,2,6,4,1]=>[5,1,3,6,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,5,4,1,2,6]=>[5,1,3,4,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,4,1,6,2]=>[5,1,3,4,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,4,2,1,6]=>[5,1,3,4,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,4,2,6,1]=>[5,1,3,4,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,5,4,6,1,2]=>[5,1,3,4,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,7,5,4,6,2,1]=>[5,1,3,4,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,7,5,6,1,2,4]=>[5,1,3,2,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,6,1,4,2]=>[5,1,3,2,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,6,2,1,4]=>[5,1,3,2,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,5,6,2,4,1]=>[5,1,3,2,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,5,6,4,1,2]=>[5,1,3,2,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,7,5,6,4,2,1]=>[5,1,3,2,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,1,4,2,5]=>[5,1,2,7,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,1,4,5,2]=>[5,1,2,7,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,2,4,1,5]=>[5,1,2,6,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,2,4,5,1]=>[5,1,2,6,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,6,4,1,2,5]=>[5,1,2,4,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,4,1,5,2]=>[5,1,2,4,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,4,2,5,1]=>[5,1,2,4,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,6,4,5,1,2]=>[5,1,2,4,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,7,6,4,5,2,1]=>[5,1,2,4,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,5,7,6,3]=>[4,7,6,3,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,6,5,7,3]=>[4,7,6,2,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,6,7,5,3]=>[4,7,6,2,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,7,5,3,6]=>[4,7,6,1,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,7,5,6,3]=>[4,7,6,1,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,2,7,6,5,3]=>[4,7,6,1,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,5,2,6,7]=>[4,7,5,3,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,5,6,2,7]=>[4,7,5,3,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,5,6,7,2]=>[4,7,5,3,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,5,7,2,6]=>[4,7,5,3,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,5,7,6,2]=>[4,7,5,3,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,6,5,2,7]=>[4,7,5,2,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,6,5,7,2]=>[4,7,5,2,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,6,7,2,5]=>[4,7,5,2,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,6,7,5,2]=>[4,7,5,2,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,7,5,6,2]=>[4,7,5,1,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,3,7,6,5,2]=>[4,7,5,1,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,2,7,6,3]=>[4,7,3,6,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,3,2,7,6]=>[4,7,3,5,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,3,6,2,7]=>[4,7,3,5,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,3,6,7,2]=>[4,7,3,5,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,3,7,6,2]=>[4,7,3,5,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,6,3,2,7]=>[4,7,3,2,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,6,3,7,2]=>[4,7,3,2,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,6,7,3,2]=>[4,7,3,2,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,7,2,6,3]=>[4,7,3,1,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,7,3,6,2]=>[4,7,3,1,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,7,6,2,3]=>[4,7,3,1,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,5,7,6,3,2]=>[4,7,3,1,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,3,5,7,2]=>[4,7,2,5,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,3,5,6,2]=>[4,7,1,5,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,5,3,6,2]=>[4,7,1,3,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,6,5,2,3]=>[4,7,1,2,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,7,5,6,1]=>[4,6,5,1,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,3,7,6,1,5]=>[4,6,5,1,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,3,7,6,5,1]=>[4,6,5,1,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,1,6,3,7]=>[4,6,3,7,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,1,6,7,3]=>[4,6,3,7,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,1,7,3,6]=>[4,6,3,7,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,1,7,6,3]=>[4,6,3,7,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,3,1,6,7]=>[4,6,3,5,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,3,1,7,6]=>[4,6,3,5,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,3,6,1,7]=>[4,6,3,5,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,3,6,7,1]=>[4,6,3,5,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,5,3,7,1,6]=>[4,6,3,5,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,3,7,6,1]=>[4,6,3,5,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,5,6,1,3,7]=>[4,6,3,2,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,6,1,7,3]=>[4,6,3,2,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,6,3,1,7]=>[4,6,3,2,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,6,3,7,1]=>[4,6,3,2,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,5,6,7,1,3]=>[4,6,3,2,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,6,7,3,1]=>[4,6,3,2,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,7,1,6,3]=>[4,6,3,1,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,7,3,1,6]=>[4,6,3,1,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,7,3,6,1]=>[4,6,3,1,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,5,7,6,1,3]=>[4,6,3,1,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,5,7,6,3,1]=>[4,6,3,1,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,1,3,7,5]=>[4,6,2,7,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,1,5,7,3]=>[4,6,2,7,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,1,7,5,3]=>[4,6,2,7,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,3,1,5,7]=>[4,6,2,5,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,3,1,7,5]=>[4,6,2,5,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,3,5,1,7]=>[4,6,2,5,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,3,5,7,1]=>[4,6,2,5,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,6,3,7,1,5]=>[4,6,2,5,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,3,7,5,1]=>[4,6,2,5,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,6,5,1,3,7]=>[4,6,2,3,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,5,1,7,3]=>[4,6,2,3,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,5,3,1,7]=>[4,6,2,3,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,5,3,7,1]=>[4,6,2,3,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,6,5,7,1,3]=>[4,6,2,3,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,5,7,3,1]=>[4,6,2,3,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,7,1,5,3]=>[4,6,2,1,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,7,3,1,5]=>[4,6,2,1,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,7,3,5,1]=>[4,6,2,1,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,6,7,5,1,3]=>[4,6,2,1,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,6,7,5,3,1]=>[4,6,2,1,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,1,5,3,6]=>[4,6,1,7,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,3,1,5,6]=>[4,6,1,5,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,3,1,6,5]=>[4,6,1,5,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,3,5,1,6]=>[4,6,1,5,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,3,5,6,1]=>[4,6,1,5,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,7,3,6,1,5]=>[4,6,1,5,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,3,6,5,1]=>[4,6,1,5,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,7,5,1,3,6]=>[4,6,1,3,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,5,1,6,3]=>[4,6,1,3,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,5,3,1,6]=>[4,6,1,3,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,5,3,6,1]=>[4,6,1,3,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,7,5,6,1,3]=>[4,6,1,3,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,5,6,3,1]=>[4,6,1,3,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,6,3,1,5]=>[4,6,1,2,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,6,3,5,1]=>[4,6,1,2,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,2,6,7,5]=>[4,5,7,6,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,5,2,7,6]=>[4,5,7,3,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,5,6,2,7]=>[4,5,7,3,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,5,6,7,2]=>[4,5,7,3,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,5,7,2,6]=>[4,5,7,3,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,5,7,6,2]=>[4,5,7,3,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,6,2,7,5]=>[4,5,7,2,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,6,5,2,7]=>[4,5,7,2,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,6,5,7,2]=>[4,5,7,2,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,6,7,2,5]=>[4,5,7,2,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,6,7,5,2]=>[4,5,7,2,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,7,5,2,6]=>[4,5,7,1,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,7,5,6,2]=>[4,5,7,1,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,1,6,7,5]=>[4,5,6,7,2,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,5,1,7,6]=>[4,5,6,3,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,5,7,6,1]=>[4,5,6,3,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,6,1,7,5]=>[4,5,6,2,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,6,5,1,7]=>[4,5,6,2,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,6,5,7,1]=>[4,5,6,2,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,2,6,7,1,5]=>[4,5,6,2,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,6,7,5,1]=>[4,5,6,2,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,7,5,1,6]=>[4,5,6,1,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,7,5,6,1]=>[4,5,6,1,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,1,2,7,6]=>[4,5,3,7,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,1,6,2,7]=>[4,5,3,7,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,1,6,7,2]=>[4,5,3,7,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,1,7,2,6]=>[4,5,3,7,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,1,7,6,2]=>[4,5,3,7,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,2,1,7,6]=>[4,5,3,6,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,2,7,6,1]=>[4,5,3,6,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,6,1,7,2]=>[4,5,3,2,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,7,1,6,2]=>[4,5,3,1,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,3,5,7,6,2,1]=>[4,5,3,1,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,1,2,7,5]=>[4,5,2,7,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,1,5,2,7]=>[4,5,2,7,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,1,5,7,2]=>[4,5,2,7,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,1,7,2,5]=>[4,5,2,7,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,1,7,5,2]=>[4,5,2,7,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,2,1,7,5]=>[4,5,2,6,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,6,2,7,1,5]=>[4,5,2,6,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,2,7,5,1]=>[4,5,2,6,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,5,1,7,2]=>[4,5,2,3,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,5,2,1,7]=>[4,5,2,3,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,5,2,7,1]=>[4,5,2,3,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,6,5,7,1,2]=>[4,5,2,3,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,3,6,5,7,2,1]=>[4,5,2,3,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,7,1,5,2]=>[4,5,2,1,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,7,2,1,5]=>[4,5,2,1,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,6,7,2,5,1]=>[4,5,2,1,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,6,7,5,1,2]=>[4,5,2,1,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,3,6,7,5,2,1]=>[4,5,2,1,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,1,5,2,6]=>[4,5,1,7,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,1,5,6,2]=>[4,5,1,7,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,5,1,6,2]=>[4,5,1,3,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,5,2,1,6]=>[4,5,1,3,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,5,2,6,1]=>[4,5,1,3,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,7,5,6,1,2]=>[4,5,1,3,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,3,7,5,6,2,1]=>[4,5,1,3,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,2,7,6,3]=>[4,3,7,6,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,3,2,6,7]=>[4,3,7,5,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,3,2,7,6]=>[4,3,7,5,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,3,6,2,7]=>[4,3,7,5,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,3,6,7,2]=>[4,3,7,5,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,3,7,2,6]=>[4,3,7,5,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,3,7,6,2]=>[4,3,7,5,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,6,3,2,7]=>[4,3,7,2,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,6,3,7,2]=>[4,3,7,2,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,6,7,3,2]=>[4,3,7,2,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,7,2,6,3]=>[4,3,7,1,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,7,3,2,6]=>[4,3,7,1,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,7,3,6,2]=>[4,3,7,1,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,7,6,2,3]=>[4,3,7,1,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,1,7,6,3,2]=>[4,3,7,1,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,1,6,3,7]=>[4,3,6,7,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,1,6,7,3]=>[4,3,6,7,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,1,7,3,6]=>[4,3,6,7,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,1,7,6,3]=>[4,3,6,7,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,3,1,7,6]=>[4,3,6,5,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,2,3,7,1,6]=>[4,3,6,5,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,3,7,6,1]=>[4,3,6,5,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,2,6,1,3,7]=>[4,3,6,2,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,6,1,7,3]=>[4,3,6,2,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,6,3,1,7]=>[4,3,6,2,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,6,3,7,1]=>[4,3,6,2,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,2,6,7,1,3]=>[4,3,6,2,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,6,7,3,1]=>[4,3,6,2,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,2,7,1,3,6]=>[4,3,6,1,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,7,1,6,3]=>[4,3,6,1,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,7,3,1,6]=>[4,3,6,1,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,7,3,6,1]=>[4,3,6,1,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,2,7,6,1,3]=>[4,3,6,1,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,2,7,6,3,1]=>[4,3,6,1,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,1,6,2,7]=>[4,3,5,7,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,1,6,7,2]=>[4,3,5,7,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,1,7,2,6]=>[4,3,5,7,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,1,7,6,2]=>[4,3,5,7,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,2,1,7,6]=>[4,3,5,6,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,2,7,6,1]=>[4,3,5,6,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,6,1,7,2]=>[4,3,5,2,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,1,3,2,7]=>[4,3,2,7,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,1,3,7,2]=>[4,3,2,7,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,1,7,3,2]=>[4,3,2,7,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,2,1,7,3]=>[4,3,2,6,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,6,2,7,1,3]=>[4,3,2,6,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,2,7,3,1]=>[4,3,2,6,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,3,1,7,2]=>[4,3,2,5,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,5,6,7,1,3,2]=>[4,3,2,1,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,1,3,2,6]=>[4,3,1,7,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,1,3,6,2]=>[4,3,1,7,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,1,6,2,3]=>[4,3,1,7,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,1,6,3,2]=>[4,3,1,7,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,2,1,3,6]=>[4,3,1,6,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,2,1,6,3]=>[4,3,1,6,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,2,3,1,6]=>[4,3,1,6,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,2,3,6,1]=>[4,3,1,6,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,7,2,6,1,3]=>[4,3,1,6,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,2,6,3,1]=>[4,3,1,6,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,7,3,1,2,6]=>[4,3,1,5,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,3,1,6,2]=>[4,3,1,5,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,5,7,3,6,1,2]=>[4,3,1,5,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,5,7,6,1,3,2]=>[4,3,1,2,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[4,5,7,6,3,2,1]=>[4,3,1,2,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,2,5,3,7]=>[4,2,7,6,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,2,5,7,3]=>[4,2,7,6,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,2,7,5,3]=>[4,2,7,6,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,3,2,7,5]=>[4,2,7,5,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,3,5,2,7]=>[4,2,7,5,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,3,5,7,2]=>[4,2,7,5,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,3,7,2,5]=>[4,2,7,5,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,3,7,5,2]=>[4,2,7,5,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,5,2,3,7]=>[4,2,7,3,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,5,2,7,3]=>[4,2,7,3,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,5,3,2,7]=>[4,2,7,3,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,5,3,7,2]=>[4,2,7,3,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,5,7,2,3]=>[4,2,7,3,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,5,7,3,2]=>[4,2,7,3,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,7,2,5,3]=>[4,2,7,1,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,7,3,2,5]=>[4,2,7,1,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,7,3,5,2]=>[4,2,7,1,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,7,5,2,3]=>[4,2,7,1,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,1,7,5,3,2]=>[4,2,7,1,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,1,3,7,5]=>[4,2,6,7,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,1,5,3,7]=>[4,2,6,7,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,1,5,7,3]=>[4,2,6,7,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,1,7,3,5]=>[4,2,6,7,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,1,7,5,3]=>[4,2,6,7,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,3,1,5,7]=>[4,2,6,5,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,3,5,1,7]=>[4,2,6,5,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,2,3,7,1,5]=>[4,2,6,5,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,3,7,5,1]=>[4,2,6,5,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,5,1,7,3]=>[4,2,6,3,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,5,3,1,7]=>[4,2,6,3,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,2,5,7,1,3]=>[4,2,6,3,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,5,7,3,1]=>[4,2,6,3,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,7,3,1,5]=>[4,2,6,1,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,7,3,5,1]=>[4,2,6,1,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,2,7,5,1,3]=>[4,2,6,1,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,1,2,7,5]=>[4,2,5,7,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,1,5,7,2]=>[4,2,5,7,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,1,7,5,2]=>[4,2,5,7,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,2,1,7,5]=>[4,2,5,6,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,3,2,7,1,5]=>[4,2,5,6,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,2,7,5,1]=>[4,2,5,6,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,5,1,7,2]=>[4,2,5,3,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,3,5,7,1,2]=>[4,2,5,3,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,6,3,7,1,2,5]=>[4,2,5,1,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,7,1,5,2]=>[4,2,5,1,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,7,2,1,5]=>[4,2,5,1,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,3,7,2,5,1]=>[4,2,5,1,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,3,7,5,1,2]=>[4,2,5,1,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,6,3,7,5,2,1]=>[4,2,5,1,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,6,5,1,2,3,7]=>[4,2,3,7,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,1,2,7,3]=>[4,2,3,7,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,1,3,7,2]=>[4,2,3,7,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,1,7,2,3]=>[4,2,3,7,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,1,7,3,2]=>[4,2,3,7,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,2,1,7,3]=>[4,2,3,6,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,5,2,7,1,3]=>[4,2,3,6,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,2,7,3,1]=>[4,2,3,6,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,3,1,7,2]=>[4,2,3,5,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,3,2,1,7]=>[4,2,3,5,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,5,3,7,1,2]=>[4,2,3,5,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,6,5,3,7,2,1]=>[4,2,3,5,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,6,5,7,1,2,3]=>[4,2,3,1,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,6,5,7,1,3,2]=>[4,2,3,1,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,6,5,7,2,1,3]=>[4,2,3,1,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,6,5,7,2,3,1]=>[4,2,3,1,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[4,6,5,7,3,1,2]=>[4,2,3,1,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[4,6,5,7,3,2,1]=>[4,2,3,1,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,1,2,5,3]=>[4,2,1,7,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,1,3,2,5]=>[4,2,1,7,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,1,3,5,2]=>[4,2,1,7,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,1,5,3,2]=>[4,2,1,7,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,2,1,3,5]=>[4,2,1,6,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,2,1,5,3]=>[4,2,1,6,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,2,3,1,5]=>[4,2,1,6,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,2,3,5,1]=>[4,2,1,6,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,7,2,5,1,3]=>[4,2,1,6,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,2,5,3,1]=>[4,2,1,6,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,7,3,1,2,5]=>[4,2,1,5,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,3,1,5,2]=>[4,2,1,5,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,3,2,1,5]=>[4,2,1,5,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,6,7,3,2,5,1]=>[4,2,1,5,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,6,7,3,5,1,2]=>[4,2,1,5,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,6,7,3,5,2,1]=>[4,2,1,5,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,6,7,5,1,2,3]=>[4,2,1,3,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,6,7,5,1,3,2]=>[4,2,1,3,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,6,7,5,2,1,3]=>[4,2,1,3,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,6,7,5,2,3,1]=>[4,2,1,3,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[4,6,7,5,3,1,2]=>[4,2,1,3,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[4,6,7,5,3,2,1]=>[4,2,1,3,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,2,5,6,3]=>[4,1,7,6,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,2,6,5,3]=>[4,1,7,6,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,3,5,2,6]=>[4,1,7,5,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,3,6,5,2]=>[4,1,7,5,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,5,2,3,6]=>[4,1,7,3,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,5,2,6,3]=>[4,1,7,3,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,5,3,2,6]=>[4,1,7,3,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,5,6,2,3]=>[4,1,7,3,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,5,6,3,2]=>[4,1,7,3,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,6,3,5,2]=>[4,1,7,2,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,6,5,2,3]=>[4,1,7,2,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,1,5,3,6]=>[4,1,6,7,3,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,1,5,6,3]=>[4,1,6,7,3,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,3,1,5,6]=>[4,1,6,5,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,3,1,6,5]=>[4,1,6,5,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,3,5,1,6]=>[4,1,6,5,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,3,5,6,1]=>[4,1,6,5,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,2,3,6,1,5]=>[4,1,6,5,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,3,6,5,1]=>[4,1,6,5,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,5,1,6,3]=>[4,1,6,3,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,5,3,1,6]=>[4,1,6,3,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,5,3,6,1]=>[4,1,6,3,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,2,5,6,1,3]=>[4,1,6,3,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,5,6,3,1]=>[4,1,6,3,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,6,3,1,5]=>[4,1,6,2,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,6,3,5,1]=>[4,1,6,2,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,3,1,2,5,6]=>[4,1,5,7,6,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,1,5,2,6]=>[4,1,5,7,3,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,5,1,6,2]=>[4,1,5,3,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,3,5,6,1,2]=>[4,1,5,3,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,7,5,1,2,3,6]=>[4,1,3,7,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,1,2,6,3]=>[4,1,3,7,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,1,3,2,6]=>[4,1,3,7,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,1,6,2,3]=>[4,1,3,7,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,1,6,3,2]=>[4,1,3,7,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,2,1,6,3]=>[4,1,3,6,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,5,2,6,1,3]=>[4,1,3,6,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,2,6,3,1]=>[4,1,3,6,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,3,2,1,6]=>[4,1,3,5,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,5,3,2,6,1]=>[4,1,3,5,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,5,3,6,1,2]=>[4,1,3,5,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,7,5,3,6,2,1]=>[4,1,3,5,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,7,5,6,1,2,3]=>[4,1,3,2,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,7,5,6,1,3,2]=>[4,1,3,2,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,7,5,6,2,1,3]=>[4,1,3,2,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,7,5,6,2,3,1]=>[4,1,3,2,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[4,7,5,6,3,1,2]=>[4,1,3,2,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[4,7,5,6,3,2,1]=>[4,1,3,2,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,1,2,5,3]=>[4,1,2,7,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,1,3,5,2]=>[4,1,2,7,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,1,5,2,3]=>[4,1,2,7,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,4,6,3,7]=>[3,7,6,4,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,4,7,6,3]=>[3,7,6,4,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,6,4,7,3]=>[3,7,6,2,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,6,7,4,3]=>[3,7,6,2,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,7,4,6,3]=>[3,7,6,1,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,2,6,4,7]=>[3,7,5,6,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,2,6,7,4]=>[3,7,5,6,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,2,7,6,4]=>[3,7,5,6,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,4,2,6,7]=>[3,7,5,4,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,4,2,7,6]=>[3,7,5,4,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,4,6,2,7]=>[3,7,5,4,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,4,6,7,2]=>[3,7,5,4,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,4,7,2,6]=>[3,7,5,4,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,4,7,6,2]=>[3,7,5,4,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,6,2,4,7]=>[3,7,5,2,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,6,2,7,4]=>[3,7,5,2,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,6,4,2,7]=>[3,7,5,2,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,6,4,7,2]=>[3,7,5,2,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,6,7,2,4]=>[3,7,5,2,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,6,7,4,2]=>[3,7,5,2,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,7,2,6,4]=>[3,7,5,1,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,7,4,2,6]=>[3,7,5,1,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,7,4,6,2]=>[3,7,5,1,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,3,7,6,4,2]=>[3,7,5,1,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,2,6,7,3]=>[3,7,4,6,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,2,7,6,3]=>[3,7,4,6,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,3,6,2,7]=>[3,7,4,5,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,3,6,7,2]=>[3,7,4,5,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,3,7,6,2]=>[3,7,4,5,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,6,2,3,7]=>[3,7,4,2,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,6,2,7,3]=>[3,7,4,2,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,6,3,2,7]=>[3,7,4,2,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,6,3,7,2]=>[3,7,4,2,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,6,7,2,3]=>[3,7,4,2,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,6,7,3,2]=>[3,7,4,2,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,7,2,6,3]=>[3,7,4,1,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,7,3,6,2]=>[3,7,4,1,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,7,6,2,3]=>[3,7,4,1,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,4,7,6,3,2]=>[3,7,4,1,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,2,4,7,3]=>[3,7,2,6,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,3,2,7,4]=>[3,7,2,5,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,3,4,2,7]=>[3,7,2,5,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,3,4,7,2]=>[3,7,2,5,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,3,7,2,4]=>[3,7,2,5,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,3,7,4,2]=>[3,7,2,5,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,4,3,7,2]=>[3,7,2,4,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,4,7,2,3]=>[3,7,2,4,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,4,7,3,2]=>[3,7,2,4,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,7,2,4,3]=>[3,7,2,1,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,7,3,2,4]=>[3,7,2,1,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,7,3,4,2]=>[3,7,2,1,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,7,4,2,3]=>[3,7,2,1,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,6,7,4,3,2]=>[3,7,2,1,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,2,3,6,4]=>[3,7,1,6,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,2,4,6,3]=>[3,7,1,6,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,2,6,3,4]=>[3,7,1,6,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,2,6,4,3]=>[3,7,1,6,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,3,2,6,4]=>[3,7,1,5,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,3,4,2,6]=>[3,7,1,5,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,3,4,6,2]=>[3,7,1,5,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,3,6,2,4]=>[3,7,1,5,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,3,6,4,2]=>[3,7,1,5,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,4,2,6,3]=>[3,7,1,4,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,4,3,6,2]=>[3,7,1,4,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,4,6,2,3]=>[3,7,1,4,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,4,6,3,2]=>[3,7,1,4,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,6,2,3,4]=>[3,7,1,2,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,6,2,4,3]=>[3,7,1,2,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,6,3,2,4]=>[3,7,1,2,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,6,3,4,2]=>[3,7,1,2,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,6,4,2,3]=>[3,7,1,2,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,3,6,4,7]=>[3,6,7,5,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,3,6,7,4]=>[3,6,7,5,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,3,7,6,4]=>[3,6,7,5,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,4,6,3,7]=>[3,6,7,4,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,4,6,7,3]=>[3,6,7,4,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,6,3,4,7]=>[3,6,7,2,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,6,3,7,4]=>[3,6,7,2,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,6,4,3,7]=>[3,6,7,2,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,6,4,7,3]=>[3,6,7,2,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,6,7,3,4]=>[3,6,7,2,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,6,7,4,3]=>[3,6,7,2,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,7,3,6,4]=>[3,6,7,1,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,7,4,6,3]=>[3,6,7,1,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,7,6,3,4]=>[3,6,7,1,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,1,4,7,6]=>[3,6,5,7,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,1,6,4,7]=>[3,6,5,7,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,1,6,7,4]=>[3,6,5,7,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,1,7,4,6]=>[3,6,5,7,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,1,7,6,4]=>[3,6,5,7,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,4,7,6,1]=>[3,6,5,4,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,6,1,7,4]=>[3,6,5,2,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,6,4,1,7]=>[3,6,5,2,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,6,4,7,1]=>[3,6,5,2,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,3,6,7,1,4]=>[3,6,5,2,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,6,7,4,1]=>[3,6,5,2,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,3,7,1,4,6]=>[3,6,5,1,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,7,4,1,6]=>[3,6,5,1,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,7,4,6,1]=>[3,6,5,1,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,3,7,6,1,4]=>[3,6,5,1,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,3,7,6,4,1]=>[3,6,5,1,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,1,6,3,7]=>[3,6,4,7,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,1,6,7,3]=>[3,6,4,7,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,1,7,6,3]=>[3,6,4,7,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,3,6,1,7]=>[3,6,4,5,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,3,6,7,1]=>[3,6,4,5,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,4,3,7,1,6]=>[3,6,4,5,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,3,7,6,1]=>[3,6,4,5,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,4,6,1,3,7]=>[3,6,4,2,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,6,1,7,3]=>[3,6,4,2,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,6,3,1,7]=>[3,6,4,2,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,6,3,7,1]=>[3,6,4,2,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,4,6,7,1,3]=>[3,6,4,2,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,6,7,3,1]=>[3,6,4,2,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,7,1,6,3]=>[3,6,4,1,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,7,3,1,6]=>[3,6,4,1,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,7,3,6,1]=>[3,6,4,1,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,4,7,6,1,3]=>[3,6,4,1,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,4,7,6,3,1]=>[3,6,4,1,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,1,3,7,4]=>[3,6,2,7,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,1,4,3,7]=>[3,6,2,7,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,1,4,7,3]=>[3,6,2,7,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,1,7,3,4]=>[3,6,2,7,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,1,7,4,3]=>[3,6,2,7,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,3,1,4,7]=>[3,6,2,5,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,3,1,7,4]=>[3,6,2,5,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,3,4,1,7]=>[3,6,2,5,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,3,4,7,1]=>[3,6,2,5,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,6,3,7,1,4]=>[3,6,2,5,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,3,7,4,1]=>[3,6,2,5,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,4,1,7,3]=>[3,6,2,4,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,4,3,1,7]=>[3,6,2,4,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,4,3,7,1]=>[3,6,2,4,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,6,4,7,1,3]=>[3,6,2,4,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,4,7,3,1]=>[3,6,2,4,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,7,1,4,3]=>[3,6,2,1,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,7,3,1,4]=>[3,6,2,1,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,7,3,4,1]=>[3,6,2,1,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,6,7,4,1,3]=>[3,6,2,1,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,6,7,4,3,1]=>[3,6,2,1,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,1,3,6,4]=>[3,6,1,7,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,1,4,6,3]=>[3,6,1,7,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,1,6,3,4]=>[3,6,1,7,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,3,1,4,6]=>[3,6,1,5,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,3,1,6,4]=>[3,6,1,5,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,3,4,1,6]=>[3,6,1,5,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,3,4,6,1]=>[3,6,1,5,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,7,3,6,1,4]=>[3,6,1,5,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,3,6,4,1]=>[3,6,1,5,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,4,3,1,6]=>[3,6,1,4,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,4,3,6,1]=>[3,6,1,4,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,7,4,6,1,3]=>[3,6,1,4,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,4,6,3,1]=>[3,6,1,4,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,7,6,1,3,4]=>[3,6,1,2,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,6,3,1,4]=>[3,6,1,2,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,6,3,4,1]=>[3,6,1,2,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,2,6,7,4]=>[3,5,7,6,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,2,7,6,4]=>[3,5,7,6,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,4,2,7,6]=>[3,5,7,4,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,4,6,2,7]=>[3,5,7,4,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,4,6,7,2]=>[3,5,7,4,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,4,7,2,6]=>[3,5,7,4,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,4,7,6,2]=>[3,5,7,4,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,6,2,4,7]=>[3,5,7,2,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,6,2,7,4]=>[3,5,7,2,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,6,4,2,7]=>[3,5,7,2,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,6,4,7,2]=>[3,5,7,2,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,6,7,2,4]=>[3,5,7,2,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,6,7,4,2]=>[3,5,7,2,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,7,2,6,4]=>[3,5,7,1,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,7,4,2,6]=>[3,5,7,1,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,7,4,6,2]=>[3,5,7,1,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,7,6,2,4]=>[3,5,7,1,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,1,7,6,4,2]=>[3,5,7,1,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,1,6,4,7]=>[3,5,6,7,2,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,1,6,7,4]=>[3,5,6,7,2,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,4,7,6,1]=>[3,5,6,4,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,6,1,7,4]=>[3,5,6,2,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,6,4,1,7]=>[3,5,6,2,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,6,4,7,1]=>[3,5,6,2,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,2,6,7,1,4]=>[3,5,6,2,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,6,7,4,1]=>[3,5,6,2,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,7,4,1,6]=>[3,5,6,1,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,7,4,6,1]=>[3,5,6,1,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,1,2,7,6]=>[3,5,4,7,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,1,6,2,7]=>[3,5,4,7,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,1,6,7,2]=>[3,5,4,7,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,1,7,2,6]=>[3,5,4,7,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,1,7,6,2]=>[3,5,4,7,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,2,1,7,6]=>[3,5,4,6,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,2,7,6,1]=>[3,5,4,6,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,6,1,7,2]=>[3,5,4,2,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,1,2,7,4]=>[3,5,2,7,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,1,4,2,7]=>[3,5,2,7,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,1,4,7,2]=>[3,5,2,7,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,1,7,2,4]=>[3,5,2,7,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,1,7,4,2]=>[3,5,2,7,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,2,1,4,7]=>[3,5,2,6,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,2,1,7,4]=>[3,5,2,6,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,2,4,1,7]=>[3,5,2,6,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,6,4,1,2,7]=>[3,5,2,4,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,4,1,7,2]=>[3,5,2,4,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,4,2,1,7]=>[3,5,2,4,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,6,4,7,1,2]=>[3,5,2,4,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,3,6,4,7,2,1]=>[3,5,2,4,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,7,1,4,2]=>[3,5,2,1,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,7,2,1,4]=>[3,5,2,1,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,6,7,2,4,1]=>[3,5,2,1,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,6,7,4,1,2]=>[3,5,2,1,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,3,6,7,4,2,1]=>[3,5,2,1,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,1,2,6,4]=>[3,5,1,7,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,1,4,2,6]=>[3,5,1,7,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,2,4,1,6]=>[3,5,1,6,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,2,4,6,1]=>[3,5,1,6,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,4,2,1,6]=>[3,5,1,4,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,4,2,6,1]=>[3,5,1,4,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,7,4,6,1,2]=>[3,5,1,4,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,3,7,4,6,2,1]=>[3,5,1,4,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,3,7,6,1,2,4]=>[3,5,1,2,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,2,6,7,3]=>[3,4,7,6,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,3,6,2,7]=>[3,4,7,5,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,3,6,7,2]=>[3,4,7,5,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,3,7,6,2]=>[3,4,7,5,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,6,3,7,2]=>[3,4,7,2,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,6,7,2,3]=>[3,4,7,2,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,6,7,3,2]=>[3,4,7,2,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,7,2,6,3]=>[3,4,7,1,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,7,3,6,2]=>[3,4,7,1,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,7,6,2,3]=>[3,4,7,1,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,1,7,6,3,2]=>[3,4,7,1,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,1,6,3,7]=>[3,4,6,7,2,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,1,6,7,3]=>[3,4,6,7,2,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,3,1,7,6]=>[3,4,6,5,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,3,7,6,1]=>[3,4,6,5,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,6,1,7,3]=>[3,4,6,2,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,6,3,1,7]=>[3,4,6,2,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,6,3,7,1]=>[3,4,6,2,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,2,6,7,1,3]=>[3,4,6,2,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,6,7,3,1]=>[3,4,6,2,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,7,3,1,6]=>[3,4,6,1,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,7,3,6,1]=>[3,4,6,1,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,1,6,7,2]=>[3,4,5,7,2,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,6,1,7,2]=>[3,4,5,2,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,1,2,7,3]=>[3,4,2,7,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,1,3,2,7]=>[3,4,2,7,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,1,3,7,2]=>[3,4,2,7,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,1,7,2,3]=>[3,4,2,7,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,1,7,3,2]=>[3,4,2,7,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,2,1,7,3]=>[3,4,2,6,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,6,2,7,1,3]=>[3,4,2,6,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,2,7,3,1]=>[3,4,2,6,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,3,1,7,2]=>[3,4,2,5,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,4,6,7,1,3,2]=>[3,4,2,1,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,1,2,6,3]=>[3,4,1,7,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,1,3,6,2]=>[3,4,1,7,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,1,6,2,3]=>[3,4,1,7,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,2,3,1,6]=>[3,4,1,6,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,2,3,6,1]=>[3,4,1,6,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,4,7,6,1,2,3]=>[3,4,1,2,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,2,4,3,7]=>[3,2,7,6,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,2,4,7,3]=>[3,2,7,6,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,2,7,4,3]=>[3,2,7,6,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,3,2,4,7]=>[3,2,7,5,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,3,2,7,4]=>[3,2,7,5,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,3,4,2,7]=>[3,2,7,5,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,3,4,7,2]=>[3,2,7,5,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,3,7,2,4]=>[3,2,7,5,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,3,7,4,2]=>[3,2,7,5,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,4,2,3,7]=>[3,2,7,4,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,4,2,7,3]=>[3,2,7,4,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,4,3,2,7]=>[3,2,7,4,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,4,3,7,2]=>[3,2,7,4,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,4,7,3,2]=>[3,2,7,4,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,7,2,4,3]=>[3,2,7,1,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,7,3,2,4]=>[3,2,7,1,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,7,3,4,2]=>[3,2,7,1,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,7,4,2,3]=>[3,2,7,1,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,1,7,4,3,2]=>[3,2,7,1,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,1,3,7,4]=>[3,2,6,7,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,1,4,3,7]=>[3,2,6,7,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,1,4,7,3]=>[3,2,6,7,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,1,7,3,4]=>[3,2,6,7,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,1,7,4,3]=>[3,2,6,7,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,3,1,7,4]=>[3,2,6,5,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,2,3,7,1,4]=>[3,2,6,5,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,3,7,4,1]=>[3,2,6,5,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,4,1,7,3]=>[3,2,6,4,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,4,3,1,7]=>[3,2,6,4,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,4,3,7,1]=>[3,2,6,4,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,2,4,7,1,3]=>[3,2,6,4,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,4,7,3,1]=>[3,2,6,4,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,2,7,1,3,4]=>[3,2,6,1,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,7,1,4,3]=>[3,2,6,1,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,7,3,1,4]=>[3,2,6,1,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,7,3,4,1]=>[3,2,6,1,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,2,7,4,1,3]=>[3,2,6,1,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,2,7,4,3,1]=>[3,2,6,1,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,1,2,7,4]=>[3,2,5,7,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,1,4,2,7]=>[3,2,5,7,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,1,4,7,2]=>[3,2,5,7,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,1,7,2,4]=>[3,2,5,7,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,1,7,4,2]=>[3,2,5,7,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,2,1,7,4]=>[3,2,5,6,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,3,2,7,1,4]=>[3,2,5,6,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,2,7,4,1]=>[3,2,5,6,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,4,1,7,2]=>[3,2,5,4,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,7,1,4,2]=>[3,2,5,1,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,7,2,1,4]=>[3,2,5,1,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,3,7,2,4,1]=>[3,2,5,1,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,3,7,4,1,2]=>[3,2,5,1,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,6,3,7,4,2,1]=>[3,2,5,1,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,1,2,7,3]=>[3,2,4,7,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,1,3,2,7]=>[3,2,4,7,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,1,3,7,2]=>[3,2,4,7,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,1,7,2,3]=>[3,2,4,7,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,1,7,3,2]=>[3,2,4,7,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,2,1,7,3]=>[3,2,4,6,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,4,2,7,1,3]=>[3,2,4,6,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,2,7,3,1]=>[3,2,4,6,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
[5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,2,3,4,1]=>[3,1,2,6,5,4,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[5,7,6,3,1,2,4]=>[3,1,2,5,7,6,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
[5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
[5,7,6,4,1,2,3]=>[3,1,2,4,7,6,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,3,5,7,4]=>[2,7,6,5,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,4,3,7,5]=>[2,7,6,4,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,4,5,3,7]=>[2,7,6,4,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,4,5,7,3]=>[2,7,6,4,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,4,7,3,5]=>[2,7,6,4,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,4,7,5,3]=>[2,7,6,4,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,5,4,7,3]=>[2,7,6,3,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,5,7,3,4]=>[2,7,6,3,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,5,7,4,3]=>[2,7,6,3,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,7,4,5,3]=>[2,7,6,1,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,2,4,7,5]=>[2,7,5,6,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,2,5,7,4]=>[2,7,5,6,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,2,7,4,5]=>[2,7,5,6,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,2,7,5,4]=>[2,7,5,6,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,4,2,5,7]=>[2,7,5,4,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,4,2,7,5]=>[2,7,5,4,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,4,5,2,7]=>[2,7,5,4,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,4,7,2,5]=>[2,7,5,4,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,4,7,5,2]=>[2,7,5,4,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,5,2,7,4]=>[2,7,5,3,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,5,4,2,7]=>[2,7,5,3,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,5,4,7,2]=>[2,7,5,3,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,5,7,2,4]=>[2,7,5,3,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,5,7,4,2]=>[2,7,5,3,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,7,2,4,5]=>[2,7,5,1,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,7,2,5,4]=>[2,7,5,1,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,7,4,2,5]=>[2,7,5,1,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,7,4,5,2]=>[2,7,5,1,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,7,5,2,4]=>[2,7,5,1,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,3,7,5,4,2]=>[2,7,5,1,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,2,5,7,3]=>[2,7,4,6,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,2,7,3,5]=>[2,7,4,6,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,2,7,5,3]=>[2,7,4,6,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,3,2,7,5]=>[2,7,4,5,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,3,5,2,7]=>[2,7,4,5,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,3,5,7,2]=>[2,7,4,5,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,3,7,2,5]=>[2,7,4,5,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,3,7,5,2]=>[2,7,4,5,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,5,2,3,7]=>[2,7,4,3,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,5,2,7,3]=>[2,7,4,3,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,5,3,2,7]=>[2,7,4,3,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,5,3,7,2]=>[2,7,4,3,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,5,7,2,3]=>[2,7,4,3,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,5,7,3,2]=>[2,7,4,3,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,7,2,3,5]=>[2,7,4,1,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,7,2,5,3]=>[2,7,4,1,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,7,3,2,5]=>[2,7,4,1,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,7,3,5,2]=>[2,7,4,1,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,7,5,2,3]=>[2,7,4,1,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,4,7,5,3,2]=>[2,7,4,1,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,2,4,7,3]=>[2,7,3,6,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,3,2,7,4]=>[2,7,3,5,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,3,4,2,7]=>[2,7,3,5,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,3,4,7,2]=>[2,7,3,5,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,3,7,2,4]=>[2,7,3,5,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,3,7,4,2]=>[2,7,3,5,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,4,7,2,3]=>[2,7,3,4,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,4,7,3,2]=>[2,7,3,4,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,7,2,3,4]=>[2,7,3,1,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,7,2,4,3]=>[2,7,3,1,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,7,3,2,4]=>[2,7,3,1,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,7,3,4,2]=>[2,7,3,1,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,7,4,2,3]=>[2,7,3,1,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,5,7,4,3,2]=>[2,7,3,1,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,2,4,5,3]=>[2,7,1,6,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,3,2,5,4]=>[2,7,1,5,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,3,4,2,5]=>[2,7,1,5,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,4,7,3,1]=>[2,3,6,4,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
[6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,4,2,3,5]=>[2,1,7,4,6,5,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,5,2,3,4]=>[2,1,7,3,6,5,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)
[6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)
[6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)
[6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
[6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)
[6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)
[6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)
[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>011111=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,6,4,5,3]=>[1,7,6,2,4,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,4,2,5,6]=>[1,7,5,4,6,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,4,2,6,5]=>[1,7,5,4,6,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,4,5,2,6]=>[1,7,5,4,3,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,4,6,2,5]=>[1,7,5,4,2,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,4,6,5,2]=>[1,7,5,4,2,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,5,2,6,4]=>[1,7,5,3,6,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,5,4,6,2]=>[1,7,5,3,4,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,6,4,2,5]=>[1,7,5,2,4,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,6,4,5,2]=>[1,7,5,2,4,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,3,6,5,4,2]=>[1,7,5,2,3,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,2,5,6,3]=>[1,7,4,6,3,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,2,6,5,3]=>[1,7,4,6,2,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,3,5,6,2]=>[1,7,4,5,3,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,3,6,5,2]=>[1,7,4,5,2,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,5,2,3,6]=>[1,7,4,3,6,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,5,2,6,3]=>[1,7,4,3,6,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,5,6,2,3]=>[1,7,4,3,2,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,5,6,3,2]=>[1,7,4,3,2,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,6,3,5,2]=>[1,7,4,2,5,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,6,5,2,3]=>[1,7,4,2,3,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,2,4,6,3]=>[1,7,3,6,4,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,3,2,6,4]=>[1,7,3,5,6,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,4,6,2,3]=>[1,7,3,4,2,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,4,6,3,2]=>[1,7,3,4,2,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,6,2,3,4]=>[1,7,3,2,6,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,6,2,4,3]=>[1,7,3,2,6,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,6,3,2,4]=>[1,7,3,2,5,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,6,3,4,2]=>[1,7,3,2,5,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,6,4,2,3]=>[1,7,3,2,4,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,5,6,4,3,2]=>[1,7,3,2,4,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,4,5,3,6]=>[1,6,7,4,3,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,4,5,6,3]=>[1,6,7,4,3,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,4,6,5,3]=>[1,6,7,4,2,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,5,3,6,4]=>[1,6,7,3,5,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,5,4,6,3]=>[1,6,7,3,4,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,5,6,3,4]=>[1,6,7,3,2,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,5,6,4,3]=>[1,6,7,3,2,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,6,4,5,3]=>[1,6,7,2,4,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,1,4,6,5]=>[1,6,5,7,4,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,1,5,4,6]=>[1,6,5,7,3,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,1,5,6,4]=>[1,6,5,7,3,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,1,6,4,5]=>[1,6,5,7,2,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,1,6,5,4]=>[1,6,5,7,2,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,4,1,6,5]=>[1,6,5,4,7,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,5,1,6,4]=>[1,6,5,3,7,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,5,4,1,6]=>[1,6,5,3,4,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,3,5,6,1,4]=>[1,6,5,3,2,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,5,6,4,1]=>[1,6,5,3,2,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,6,1,5,4]=>[1,6,5,2,7,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,6,4,1,5]=>[1,6,5,2,4,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,6,4,5,1]=>[1,6,5,2,4,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,3,6,5,1,4]=>[1,6,5,2,3,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,1,5,3,6]=>[1,6,4,7,3,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,1,5,6,3]=>[1,6,4,7,3,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,1,6,5,3]=>[1,6,4,7,2,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,3,1,5,6]=>[1,6,4,5,7,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,3,1,6,5]=>[1,6,4,5,7,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,3,5,1,6]=>[1,6,4,5,3,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,4,3,6,1,5]=>[1,6,4,5,2,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,4,5,1,3,6]=>[1,6,4,3,7,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,5,1,6,3]=>[1,6,4,3,7,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,5,3,1,6]=>[1,6,4,3,5,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,5,3,6,1]=>[1,6,4,3,5,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,4,5,6,1,3]=>[1,6,4,3,2,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,5,6,3,1]=>[1,6,4,3,2,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,6,1,5,3]=>[1,6,4,2,7,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,6,3,1,5]=>[1,6,4,2,5,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,6,3,5,1]=>[1,6,4,2,5,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,4,6,5,1,3]=>[1,6,4,2,3,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,4,6,5,3,1]=>[1,6,4,2,3,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,1,3,6,4]=>[1,6,3,7,5,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,1,4,6,3]=>[1,6,3,7,4,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,1,6,3,4]=>[1,6,3,7,2,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,1,6,4,3]=>[1,6,3,7,2,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,3,1,4,6]=>[1,6,3,5,7,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,3,1,6,4]=>[1,6,3,5,7,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,3,4,1,6]=>[1,6,3,5,4,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,3,4,6,1]=>[1,6,3,5,4,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,5,3,6,1,4]=>[1,6,3,5,2,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,3,6,4,1]=>[1,6,3,5,2,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,1,2,6,5]=>[1,5,4,7,6,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,1,5,2,6]=>[1,5,4,7,3,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,1,5,6,2]=>[1,5,4,7,3,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,1,6,2,5]=>[1,5,4,7,2,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,1,6,5,2]=>[1,5,4,7,2,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,2,1,6,5]=>[1,5,4,6,7,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,2,6,5,1]=>[1,5,4,6,2,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,5,1,6,2]=>[1,5,4,3,7,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,6,1,5,2]=>[1,5,4,2,7,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,3,4,6,5,2,1]=>[1,5,4,2,3,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,1,4,2,6]=>[1,5,3,7,4,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,1,4,6,2]=>[1,5,3,7,4,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,1,6,2,4]=>[1,5,3,7,2,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,1,6,4,2]=>[1,5,3,7,2,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,2,1,6,4]=>[1,5,3,6,7,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,5,2,6,1,4]=>[1,5,3,6,2,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,2,6,4,1]=>[1,5,3,6,2,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,4,1,6,2]=>[1,5,3,4,7,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,4,2,1,6]=>[1,5,3,4,6,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,4,2,6,1]=>[1,5,3,4,6,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,5,4,6,1,2]=>[1,5,3,4,2,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,3,5,4,6,2,1]=>[1,5,3,4,2,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,6,1,4,2]=>[1,5,3,2,7,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,6,2,1,4]=>[1,5,3,2,6,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,5,6,2,4,1]=>[1,5,3,2,6,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,5,6,4,1,2]=>[1,5,3,2,4,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,3,5,6,4,2,1]=>[1,5,3,2,4,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,1,4,2,5]=>[1,5,2,7,4,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,1,4,5,2]=>[1,5,2,7,4,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,4,1,5,2]=>[1,5,2,4,7,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,4,2,1,5]=>[1,5,2,4,6,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,6,4,5,1,2]=>[1,5,2,4,3,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,3,6,4,5,2,1]=>[1,5,2,4,3,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,5,6,2,3]=>[1,4,7,3,2,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,5,6,3,2]=>[1,4,7,3,2,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
[7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)
[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)
[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)
[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
[7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
[7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)
[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>111110=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>111111=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>1111111=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,5,4,6,8,3,2,1]=>[2,4,5,3,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
[8,6,7,5,3,4,2,1]=>[1,3,2,4,6,5,7,8]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)
[7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
[6,7,5,8,3,4,2,1]=>[3,2,4,1,6,5,7,8]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)
[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)
[7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)
[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,6,4,3,5,7,2,1]=>[1,3,5,6,4,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,5,3,4,6,7,2,1]=>[1,4,6,5,3,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,4,3,5,6,7,2,1]=>[1,5,6,4,3,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,5,6,3,7,8,2,1]=>[5,4,3,6,2,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,6,3,4,7,8,2,1]=>[4,3,6,5,2,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
[8,5,6,7,4,2,3,1]=>[1,4,3,2,5,7,6,8]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)
[5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
[8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)
[7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
[6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
[8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)
[7,5,6,4,8,2,3,1]=>[2,4,3,5,1,7,6,8]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[6,5,7,4,8,2,3,1]=>[3,4,2,5,1,7,6,8]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)
[7,8,5,6,3,2,4,1]=>[2,1,4,3,6,7,5,8]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)
[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)
[8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)
[5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
[8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[8,6,7,5,2,3,4,1]=>[1,3,2,4,7,6,5,8]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)
[6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)
[5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
[8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[8,7,6,3,4,2,5,1]=>[1,2,3,6,5,7,4,8]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[8,6,7,3,4,2,5,1]=>[1,3,2,6,5,7,4,8]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)
[7,6,8,3,4,2,5,1]=>[2,3,1,6,5,7,4,8]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
[6,7,8,3,4,2,5,1]=>[3,2,1,6,5,7,4,8]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
[8,7,6,4,2,3,5,1]=>[1,2,3,5,7,6,4,8]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[6,7,8,4,2,3,5,1]=>[3,2,1,5,7,6,4,8]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
[8,7,6,3,2,4,5,1]=>[1,2,3,6,7,5,4,8]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[7,8,6,3,2,4,5,1]=>[2,1,3,6,7,5,4,8]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)
[8,7,6,2,3,4,5,1]=>[1,2,3,7,6,5,4,8]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[8,7,4,5,3,2,6,1]=>[1,2,5,4,6,7,3,8]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,7,4,3,5,2,6,1]=>[1,2,5,6,4,7,3,8]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,7,4,3,2,5,6,1]=>[1,2,5,6,7,4,3,8]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[7,8,4,3,2,5,6,1]=>[2,1,5,6,7,4,3,8]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)
[8,7,4,2,3,5,6,1]=>[1,2,5,7,6,4,3,8]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,5,6,3,4,2,7,1]=>[1,4,3,6,5,7,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,6,4,5,2,3,7,1]=>[1,3,5,4,7,6,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,6,4,2,3,5,7,1]=>[1,3,5,7,6,4,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[7,4,5,6,3,2,8,1]=>[2,5,4,3,6,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,4,5,7,3,2,8,1]=>[3,5,4,2,6,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,5,6,3,4,2,8,1]=>[2,4,3,6,5,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,5,7,3,4,2,8,1]=>[3,4,2,6,5,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,7,3,4,5,2,8,1]=>[3,2,6,5,4,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,5,4,3,7,2,8,1]=>[3,4,5,6,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,5,3,4,7,2,8,1]=>[3,4,6,5,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,5,3,6,7,2,8,1]=>[5,4,6,3,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,7,4,5,2,3,8,1]=>[3,2,5,4,7,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,4,5,7,2,3,8,1]=>[3,5,4,2,7,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,5,6,7,2,3,8,1]=>[5,4,3,2,7,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,7,5,3,2,4,8,1]=>[3,2,4,6,7,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,6,5,2,3,4,8,1]=>[2,3,4,7,6,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,6,4,3,2,5,8,1]=>[2,3,5,6,7,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,6,4,2,3,5,8,1]=>[2,3,5,7,6,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,7,4,2,3,5,8,1]=>[3,2,5,7,6,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,6,3,2,4,5,8,1]=>[2,3,6,7,5,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,7,3,2,4,5,8,1]=>[3,2,6,7,5,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,6,2,3,4,5,8,1]=>[2,3,7,6,5,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,7,2,3,4,5,8,1]=>[3,2,7,6,5,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,5,3,2,4,6,8,1]=>[2,4,6,7,5,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,4,3,2,5,6,8,1]=>[2,5,6,7,4,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,5,3,6,2,7,8,1]=>[5,4,6,3,7,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,6,4,2,3,7,8,1]=>[4,3,5,7,6,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,4,5,2,3,7,8,1]=>[3,5,4,7,6,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,6,2,3,7,8,1]=>[4,5,3,7,6,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,5,2,3,4,7,8,1]=>[3,4,7,6,5,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,4,3,2,5,7,8,1]=>[3,5,6,7,4,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,4,2,3,5,7,8,1]=>[3,5,7,6,4,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,3,4,2,6,7,8,1]=>[4,6,5,7,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,2,3,6,7,8,1]=>[4,5,7,6,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,3,2,4,6,7,8,1]=>[4,6,7,5,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
[7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)
[8,5,6,7,4,3,1,2]=>[1,4,3,2,5,6,8,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)
[5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)
[8,7,4,5,6,3,1,2]=>[1,2,5,4,3,6,8,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)
[7,8,4,5,6,3,1,2]=>[2,1,5,4,3,6,8,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)
[8,6,4,5,7,3,1,2]=>[1,3,5,4,2,6,8,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)
[6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[7,5,4,6,8,3,1,2]=>[2,4,5,3,1,6,8,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[5,4,6,7,8,3,1,2]=>[4,5,3,2,1,6,8,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)
[8,6,7,5,3,4,1,2]=>[1,3,2,4,6,5,8,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)
[8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)
[6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
[8,7,6,3,4,5,1,2]=>[1,2,3,6,5,4,8,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
[7,8,6,3,4,5,1,2]=>[2,1,3,6,5,4,8,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)
[7,6,8,3,4,5,1,2]=>[2,3,1,6,5,4,8,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)
[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
[8,4,5,3,6,7,1,2]=>[1,5,4,6,3,2,8,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)
[6,4,5,7,3,8,1,2]=>[3,5,4,2,6,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,4,6,7,3,8,1,2]=>[4,5,3,2,6,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,5,4,3,7,8,1,2]=>[3,4,5,6,2,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,4,3,6,7,8,1,2]=>[4,5,6,3,2,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[8,7,5,6,4,2,1,3]=>[1,2,4,3,5,7,8,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)
[8,6,5,7,4,2,1,3]=>[1,3,4,2,5,7,8,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)
[5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[8,7,6,4,5,2,1,3]=>[1,2,3,5,4,7,8,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
[8,7,4,5,6,2,1,3]=>[1,2,5,4,3,7,8,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)
[6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,4,5,7,8,2,1,3]=>[3,5,4,2,1,7,8,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)
[6,7,5,8,4,1,2,3]=>[3,2,4,1,5,8,7,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[8,7,6,4,5,1,2,3]=>[1,2,3,5,4,8,7,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[7,8,6,4,5,1,2,3]=>[2,1,3,5,4,8,7,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)
[8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
[8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)
[7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,5,4,8,1,2,3]=>[3,2,4,5,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,5,4,7,8,1,2,3]=>[3,4,5,2,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,4,5,7,8,1,2,3]=>[3,5,4,2,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
[8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,6,7,5,3,1,2,4]=>[1,3,2,4,6,8,7,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
[6,7,8,5,3,1,2,4]=>[3,2,1,4,6,8,7,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[8,7,5,6,3,1,2,4]=>[1,2,4,3,6,8,7,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[8,6,5,7,3,1,2,4]=>[1,3,4,2,6,8,7,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[8,7,5,6,2,1,3,4]=>[1,2,4,3,7,8,6,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[8,6,5,7,2,1,3,4]=>[1,3,4,2,7,8,6,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
[6,7,5,8,2,1,3,4]=>[3,2,4,1,7,8,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[8,6,7,5,1,2,3,4]=>[1,3,2,4,8,7,6,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
[7,6,8,5,1,2,3,4]=>[2,3,1,4,8,7,6,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
[8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
[8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
[7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,7,8,4,1,2,3,5]=>[3,2,1,5,8,7,6,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,6,8,2,3,1,4,5]=>[2,3,1,7,6,8,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,8,6,3,1,2,4,5]=>[2,1,3,6,8,7,5,4]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[7,6,8,3,1,2,4,5]=>[2,3,1,6,8,7,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,5,4]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,8,6,1,2,3,4,5]=>[2,1,3,8,7,6,5,4]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[7,8,4,5,2,3,1,6]=>[2,1,5,4,7,6,8,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,5,2,3,4,1,6]=>[1,2,4,7,6,5,8,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,8,5,2,3,4,1,6]=>[2,1,4,7,6,5,8,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,4,3,2,5,1,6]=>[2,1,5,6,7,4,8,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,5,4,3,1,2,6]=>[2,1,4,5,6,8,7,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,4,5,3,1,2,6]=>[1,2,5,4,6,8,7,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,5,3,4,1,2,6]=>[1,2,4,6,5,8,7,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,8,5,3,4,1,2,6]=>[2,1,4,6,5,8,7,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,3,4,5,1,2,6]=>[1,2,6,5,4,8,7,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,4,5,2,1,3,6]=>[1,2,5,4,7,8,6,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,4,5,1,2,3,6]=>[1,2,5,4,8,7,6,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,8,5,3,2,1,4,6]=>[2,1,4,6,7,8,5,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,5,3,1,2,4,6]=>[1,2,4,6,8,7,5,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,8,5,2,1,3,4,6]=>[2,1,4,7,8,6,5,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,8,5,1,2,3,4,6]=>[2,1,4,8,7,6,5,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,8,4,3,2,1,5,6]=>[2,1,5,6,7,8,4,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,5,2,3,4,1,7]=>[1,3,4,7,6,5,8,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,3,4,5,1,2,7]=>[1,3,6,5,4,8,7,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,3,5,6,1,2,7]=>[1,5,6,4,3,8,7,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,4,5,6,1,2,7]=>[1,6,5,4,3,8,7,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,6,4,2,1,3,7]=>[1,4,3,5,7,8,6,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,6,4,1,2,3,7]=>[1,4,3,5,8,7,6,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,5,2,3,1,4,7]=>[1,3,4,7,6,8,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,6,2,3,1,4,7]=>[1,4,3,7,6,8,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,6,3,1,2,4,7]=>[1,4,3,6,8,7,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,6,2,1,3,4,7]=>[1,4,3,7,8,6,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,3,4,2,1,5,7]=>[1,3,6,5,7,8,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,5,3,2,1,6,7]=>[1,5,4,6,7,8,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,2,3,4,1,6,7]=>[1,4,7,6,5,8,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,3,4,1,2,6,7]=>[1,4,6,5,8,7,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,3,4,2,1,8]=>[4,3,2,6,5,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,5,6,2,3,1,8]=>[2,5,4,3,7,6,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,5,2,3,4,1,8]=>[2,3,4,7,6,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,5,2,3,4,1,8]=>[3,2,4,7,6,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,6,2,3,4,1,8]=>[2,4,3,7,6,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,7,2,3,4,1,8]=>[3,4,2,7,6,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,2,3,4,1,8]=>[4,3,2,7,6,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,3,2,4,5,1,8]=>[3,2,6,7,5,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,2,3,4,5,1,8]=>[2,3,7,6,5,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,3,2,7,1,8]=>[5,4,3,6,7,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,4,5,2,7,1,8]=>[3,6,5,4,7,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,6,2,7,1,8]=>[5,4,6,3,7,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,6,2,7,1,8]=>[4,6,5,3,7,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,2,7,1,8]=>[6,5,4,3,7,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,2,3,7,1,8]=>[5,4,3,7,6,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,3,2,4,7,1,8]=>[4,3,6,7,5,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,2,3,5,7,1,8]=>[3,5,7,6,4,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,2,6,7,1,8]=>[4,5,6,7,3,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,2,6,7,1,8]=>[4,6,5,7,3,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,6,4,3,1,2,8]=>[2,4,3,5,6,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,7,4,3,1,2,8]=>[3,4,2,5,6,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,4,3,1,2,8]=>[4,3,2,5,6,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,5,6,3,1,2,8]=>[2,5,4,3,6,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,7,3,4,1,2,8]=>[3,4,2,6,5,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,3,4,6,1,2,8]=>[2,4,6,5,3,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,6,7,1,2,8]=>[4,5,6,3,2,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,6,7,1,2,8]=>[5,4,6,3,2,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,6,7,1,2,8]=>[4,6,5,3,2,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,5,6,2,1,3,8]=>[2,5,4,3,7,8,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,7,2,1,3,8]=>[5,4,3,2,7,8,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,4,6,1,2,3,8]=>[2,4,5,3,8,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,4,7,1,2,3,8]=>[4,3,5,2,8,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,7,1,2,3,8]=>[4,5,3,2,8,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,3,1,2,4,8]=>[4,3,2,6,8,7,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,7,2,1,3,4,8]=>[3,4,2,7,8,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,2,1,3,4,8]=>[4,3,2,7,8,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,7,1,2,3,4,8]=>[3,4,2,8,7,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,4,3,2,1,5,8]=>[3,2,5,6,7,8,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,4,1,2,3,5,8]=>[2,3,5,8,7,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,3,1,2,4,5,8]=>[3,2,6,8,7,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,4,5,2,1,6,8]=>[2,6,5,4,7,8,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,2,3,4,1,6,8]=>[2,4,7,6,5,8,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,3,5,1,2,6,8]=>[2,5,6,4,8,7,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,4,2,3,1,7,8]=>[4,3,5,7,6,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,2,3,1,7,8]=>[4,5,3,7,6,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,2,3,4,1,7,8]=>[3,4,7,6,5,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,2,6,1,7,8]=>[4,5,6,7,3,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,2,6,1,7,8]=>[5,4,6,7,3,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,4,2,1,3,7,8]=>[4,3,5,7,8,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,3,2,1,4,7,8]=>[4,3,6,7,8,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,1,2,6,7,8]=>[4,6,5,8,7,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,3,1,4,6,7,8]=>[4,7,6,8,5,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,7,8,6,4,3,2,1]=>[4,2,1,3,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,6,8,7,4,3,2,1]=>[4,3,1,2,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,7,6,8,4,3,2,1]=>[4,2,3,1,5,6,7,8]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,7,8,6,5,3,2,1]=>[5,2,1,3,4,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,6,8,7,5,3,2,1]=>[5,3,1,2,4,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,7,6,8,5,3,2,1]=>[5,2,3,1,4,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,6,7,8,5,3,2,1]=>[5,3,2,1,4,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,5,8,7,6,3,2,1]=>[5,4,1,2,3,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,5,7,8,6,3,2,1]=>[5,4,2,1,3,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,6,5,8,7,3,2,1]=>[5,3,4,1,2,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,5,6,8,7,3,2,1]=>[5,4,3,1,2,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,7,6,4,8,3,2,1]=>[4,2,3,5,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,7,6,5,8,3,2,1]=>[5,2,3,4,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,6,7,5,8,3,2,1]=>[5,3,2,4,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[5,4,7,6,8,3,2,1]=>[4,5,2,3,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,5,7,6,8,3,2,1]=>[5,4,2,3,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,6,5,7,8,3,2,1]=>[5,3,4,2,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[3,5,7,8,6,4,2,1]=>[6,4,2,1,3,5,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[3,5,6,8,7,4,2,1]=>[6,4,3,1,2,5,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[3,6,5,7,8,4,2,1]=>[6,3,4,2,1,5,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[3,5,6,7,8,4,2,1]=>[6,4,3,2,1,5,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,3,6,7,8,5,2,1]=>[5,6,3,2,1,4,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,5,3,7,8,6,2,1]=>[5,4,6,2,1,3,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,3,5,7,8,6,2,1]=>[5,6,4,2,1,3,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,5,6,3,8,7,2,1]=>[5,4,3,6,1,2,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[3,5,6,4,8,7,2,1]=>[6,4,3,5,1,2,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,3,6,5,8,7,2,1]=>[5,6,3,4,1,2,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,5,3,6,8,7,2,1]=>[5,4,6,3,1,2,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,3,5,6,8,7,2,1]=>[5,6,4,3,1,2,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,6,7,5,3,8,2,1]=>[5,3,2,4,6,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[3,5,6,7,4,8,2,1]=>[6,4,3,2,5,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,3,7,6,5,8,2,1]=>[5,6,2,3,4,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[3,4,7,6,5,8,2,1]=>[6,5,2,3,4,1,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,6,8,7,5,4,3,1]=>[7,3,1,2,4,5,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,5,6,8,7,4,3,1]=>[7,4,3,1,2,5,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,5,6,7,8,4,3,1]=>[7,4,3,2,1,5,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,8,7,6,5,3,1]=>[7,5,1,2,3,4,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,6,8,7,5,3,1]=>[7,5,3,1,2,4,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,6,7,8,5,3,1]=>[7,5,3,2,1,4,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,5,4,8,7,6,3,1]=>[7,4,5,1,2,3,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,7,6,5,4,8,3,1]=>[7,2,3,4,5,1,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,7,6,5,8,3,1]=>[7,5,2,3,4,1,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,8,7,5,4,1]=>[6,7,3,1,2,4,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,7,8,5,4,1]=>[6,7,3,2,1,4,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,7,6,5,8,4,1]=>[6,7,2,3,4,1,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,5,7,8,4,1]=>[6,7,3,4,2,1,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,6,7,8,5,4,1]=>[7,6,3,2,1,4,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,7,6,5,8,4,1]=>[7,6,2,3,4,1,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,6,7,5,8,4,1]=>[7,6,3,2,4,1,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,5,7,6,8,4,1]=>[7,6,4,2,3,1,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,5,6,7,8,4,1]=>[7,6,4,3,2,1,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,8,7,6,5,1]=>[5,6,7,1,2,3,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,7,8,6,5,1]=>[5,6,7,2,1,3,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,6,8,7,5,1]=>[5,6,7,3,1,2,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,4,2,8,7,6,5,1]=>[6,5,7,1,2,3,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,3,8,7,6,5,1]=>[7,5,6,1,2,3,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,4,8,7,6,5,1]=>[6,7,5,1,2,3,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,4,8,7,6,5,1]=>[7,6,5,1,2,3,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,5,3,2,8,7,6,1]=>[5,4,6,7,1,2,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,5,2,8,7,6,1]=>[5,6,4,7,1,2,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,5,8,7,6,1]=>[5,6,7,4,1,2,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,5,4,3,2,8,7,1]=>[3,4,5,6,7,1,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,5,4,6,2,8,7,1]=>[6,4,5,3,7,1,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,4,2,6,5,8,7,1]=>[6,5,7,3,4,1,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,7,6,5,4,2,8,1]=>[6,2,3,4,5,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,6,7,5,4,2,8,1]=>[6,3,2,4,5,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,6,5,4,7,2,8,1]=>[6,3,4,5,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,6,5,7,2,8,1]=>[5,6,3,4,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,6,7,5,3,8,1]=>[7,5,3,2,4,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,5,6,4,7,3,8,1]=>[7,4,3,5,2,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,5,4,6,7,3,8,1]=>[7,4,5,3,2,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,7,5,4,8,1]=>[6,7,3,2,4,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,5,7,4,8,1]=>[6,7,3,4,2,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,5,6,7,4,8,1]=>[6,7,4,3,2,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,7,6,5,4,8,1]=>[7,6,2,3,4,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,6,7,5,4,8,1]=>[7,6,3,2,4,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,5,7,6,4,8,1]=>[7,6,4,2,3,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,7,6,5,8,1]=>[5,6,7,2,3,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,6,7,5,8,1]=>[5,6,7,3,2,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,3,7,6,5,8,1]=>[7,5,6,2,3,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,4,7,6,5,8,1]=>[6,7,5,2,3,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,4,7,6,5,8,1]=>[7,6,5,2,3,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,5,2,7,6,8,1]=>[5,6,4,7,2,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,4,5,2,7,6,8,1]=>[6,5,4,7,2,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,5,4,7,6,8,1]=>[6,7,4,5,2,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,5,4,7,6,8,1]=>[7,6,4,5,2,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,5,7,6,8,1]=>[5,6,7,4,2,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,6,5,4,3,7,8,1]=>[7,3,4,5,6,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,2,6,5,7,8,1]=>[5,6,7,3,4,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,3,6,5,7,8,1]=>[7,5,6,3,4,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,5,4,6,7,8,1]=>[7,6,4,5,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,3,5,6,7,8,1]=>[7,5,6,4,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,7,6,8,5,4,3,2]=>[8,2,3,1,4,5,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,7,8,4,3,2]=>[8,4,3,2,1,5,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,5,7,8,6,3,2]=>[8,5,4,2,1,3,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,4,7,8,3,2]=>[8,4,3,5,2,1,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,7,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,5,7,8,4,2]=>[8,6,3,4,2,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,4,3,8,7,6,2]=>[8,4,5,6,1,2,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,5,7,8,6,2]=>[8,6,5,4,2,1,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,5,4,3,8,7,2]=>[8,3,4,5,6,1,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,4,3,8,7,2]=>[8,4,3,5,6,1,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,7,6,5,8,2]=>[8,6,5,2,3,4,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,5,4,3,7,8,2]=>[8,3,4,5,6,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,4,6,3,7,8,2]=>[8,4,5,3,6,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,8,6,5,4,3]=>[7,8,2,1,3,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,8,7,5,4,3]=>[7,8,3,1,2,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,6,8,5,4,3]=>[7,8,2,3,1,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,7,8,5,4,3]=>[7,8,3,2,1,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,8,7,6,4,3]=>[7,8,4,1,2,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,7,8,6,4,3]=>[7,8,4,2,1,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,5,8,7,4,3]=>[7,8,3,4,1,2,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,6,8,7,4,3]=>[7,8,4,3,1,2,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,6,5,8,4,3]=>[7,8,2,3,4,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,7,5,8,4,3]=>[7,8,3,2,4,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,7,6,8,4,3]=>[7,8,4,2,3,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,5,7,8,4,3]=>[7,8,3,4,2,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,6,7,8,4,3]=>[7,8,4,3,2,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,8,7,6,5,3]=>[7,8,5,1,2,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,7,8,6,5,3]=>[7,8,5,2,1,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,5,8,7,6,3]=>[7,8,5,4,1,2,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,5,7,4,8,3]=>[7,8,3,4,2,5,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,6,7,4,8,3]=>[7,8,4,3,2,5,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,4,7,6,8,3]=>[7,8,4,5,2,3,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,5,4,7,8,3]=>[7,8,3,4,5,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,7,8,6,5,4]=>[6,7,8,2,1,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,6,8,7,5,4]=>[6,7,8,3,1,2,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,7,6,8,5,4]=>[6,7,8,2,3,1,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,6,7,8,5,4]=>[6,7,8,3,2,1,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,5,8,7,6,4]=>[6,7,8,4,1,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,5,7,8,6,4]=>[6,7,8,4,2,1,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,6,5,8,7,4]=>[6,7,8,3,4,1,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,5,6,8,7,4]=>[6,7,8,4,3,1,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,7,6,5,8,4]=>[6,7,8,2,3,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,6,7,5,8,4]=>[6,7,8,3,2,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,5,7,6,8,4]=>[6,7,8,4,2,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,6,5,7,8,4]=>[6,7,8,3,4,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,5,6,7,8,4]=>[6,7,8,4,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,8,7,6,5,4]=>[7,6,8,1,2,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,7,6,8,5,4]=>[7,6,8,2,3,1,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,6,7,8,5,4]=>[7,6,8,3,2,1,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,5,7,6,8,4]=>[7,6,8,4,2,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,6,7,5,8,4]=>[8,6,7,3,2,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,6,8,7,5,4]=>[7,8,6,3,1,2,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,7,8,6,5]=>[5,6,7,8,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,6,8,7,5]=>[5,6,7,8,3,1,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,7,6,8,5]=>[5,6,7,8,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,6,7,8,5]=>[5,6,7,8,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,1,8,7,6,5]=>[6,5,7,8,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,1,6,8,7,5]=>[6,5,7,8,3,1,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,1,7,6,8,5]=>[6,5,7,8,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,1,6,7,8,5]=>[6,5,7,8,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,8,7,6,5]=>[7,5,6,8,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,7,8,6,5]=>[7,5,6,8,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,6,8,7,5]=>[7,5,6,8,3,1,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,6,7,8,5]=>[7,5,6,8,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,8,7,6,5]=>[6,7,5,8,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,7,8,6,5]=>[6,7,5,8,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,7,6,8,5]=>[6,7,5,8,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,6,7,8,5]=>[6,7,5,8,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,8,7,6,5]=>[7,6,5,8,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,7,8,6,5]=>[7,6,5,8,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,6,8,7,5]=>[7,6,5,8,3,1,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,7,6,8,5]=>[7,6,5,8,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,7,8,6,5]=>[7,8,5,6,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,6,8,7,5]=>[7,8,5,6,3,1,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,7,6,8,5]=>[7,8,5,6,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,4,7,8,6,5]=>[6,7,8,5,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,4,7,6,8,5]=>[6,7,8,5,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,4,6,7,8,5]=>[6,7,8,5,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,4,8,7,6,5]=>[7,6,8,5,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,4,7,6,8,5]=>[7,6,8,5,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,4,7,6,8,5]=>[7,8,6,5,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,2,1,7,8,6]=>[4,5,6,7,8,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,2,1,8,7,6]=>[5,4,6,7,8,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,2,1,8,7,6]=>[6,5,4,7,8,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,4,1,8,7,6]=>[6,7,4,5,8,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,4,1,7,8,6]=>[7,6,4,5,8,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,5,1,8,7,6]=>[7,6,5,4,8,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,4,2,8,7,6]=>[8,6,4,5,7,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,5,7,8,6]=>[5,6,7,8,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,1,5,8,7,6]=>[6,5,7,8,4,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,5,7,8,6]=>[7,5,6,8,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,5,8,7,6]=>[6,7,5,8,4,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,5,7,8,6]=>[6,7,5,8,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,5,8,7,6]=>[7,6,5,8,4,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,4,3,2,1,8,7]=>[4,3,5,6,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,5,3,2,1,8,7]=>[5,3,4,6,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,3,2,1,8,7]=>[4,5,3,6,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,3,2,1,8,7]=>[5,4,3,6,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,5,4,2,1,8,7]=>[6,3,4,5,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,4,2,1,8,7]=>[6,4,3,5,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,6,5,2,1,8,7]=>[5,6,3,4,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,6,2,1,8,7]=>[4,5,6,3,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,6,2,1,8,7]=>[5,4,6,3,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,2,1,8,7]=>[6,5,4,3,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,4,6,3,1,8,7]=>[7,4,5,3,6,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,6,5,4,1,8,7]=>[7,6,3,4,5,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,2,6,1,8,7]=>[4,5,6,7,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,5,2,6,1,8,7]=>[5,6,4,7,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,2,6,1,8,7]=>[6,5,4,7,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,5,3,6,1,8,7]=>[7,5,4,6,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,4,6,1,8,7]=>[6,7,4,5,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,5,6,1,8,7]=>[5,6,7,4,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,5,3,6,2,8,7]=>[8,5,4,6,3,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,6,4,3,8,7]=>[7,8,4,3,5,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,6,5,3,8,7]=>[7,8,5,3,4,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,4,6,3,8,7]=>[7,8,4,5,3,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,5,6,4,3,8,7]=>[8,7,4,3,5,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,5,4,6,3,8,7]=>[8,7,4,5,3,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,1,6,5,8,7]=>[6,5,7,8,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,6,5,8,7]=>[7,5,6,8,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,6,5,8,7]=>[6,7,5,8,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,4,1,6,8,7]=>[6,7,4,5,8,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,4,1,6,8,7]=>[7,6,4,5,8,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,5,1,6,8,7]=>[6,5,7,4,8,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,5,4,6,8,7]=>[8,6,7,4,5,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,5,6,8,7]=>[7,5,6,8,4,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,5,6,8,7]=>[6,7,5,8,4,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,7,6,5,2,1,8]=>[6,5,2,3,4,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,7,6,2,1,8]=>[5,4,6,2,3,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,5,7,6,2,1,8]=>[5,6,4,2,3,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,7,6,5,4,1,8]=>[6,7,2,3,4,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,6,7,4,1,8]=>[6,7,4,3,2,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,7,6,4,1,8]=>[7,6,4,2,3,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,7,6,5,1,8]=>[5,6,7,2,3,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,6,7,5,1,8]=>[6,5,7,3,2,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,6,7,5,1,8]=>[6,7,5,3,2,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,7,6,5,1,8]=>[7,6,5,2,3,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,2,7,6,1,8]=>[5,4,6,7,2,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,2,7,6,1,8]=>[6,5,4,7,2,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,4,7,6,1,8]=>[6,7,4,5,2,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,5,7,6,1,8]=>[6,7,5,4,2,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,6,5,2,7,1,8]=>[5,6,3,4,7,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,4,6,2,7,1,8]=>[6,4,5,3,7,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,7,6,4,2,8]=>[8,6,4,2,3,5,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,6,7,4,3,8]=>[7,8,4,3,2,5,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,6,7,5,4,8]=>[6,7,8,3,2,4,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,5,7,6,4,8]=>[6,7,8,4,2,3,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,7,6,5,4,8]=>[7,6,8,2,3,4,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,6,7,5,8]=>[5,6,7,8,3,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,2,1,7,6,5,8]=>[6,5,7,8,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,7,6,5,8]=>[6,7,5,8,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,6,7,5,8]=>[6,7,5,8,3,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,7,6,5,8]=>[7,6,5,8,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,5,7,6,8]=>[6,7,5,8,4,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,6,5,4,1,7,8]=>[7,6,3,4,5,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,6,5,3,7,8]=>[7,8,5,3,4,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,5,6,3,7,8]=>[7,8,5,4,3,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,6,5,4,7,8]=>[7,6,8,3,4,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,6,5,7,8]=>[6,7,5,8,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,6,5,7,8]=>[7,6,5,8,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,4,2,1,6,7,8]=>[6,4,5,7,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,4,3,1,6,7,8]=>[7,4,5,6,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,5,3,1,6,7,8]=>[7,5,4,6,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,4,1,6,7,8]=>[6,7,4,5,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,4,1,6,7,8]=>[7,6,4,5,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,5,1,6,7,8]=>[7,5,6,4,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,8,5,7,6,3]=>[8,7,5,1,4,2,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,7,5,4,6,2,8]=>[8,6,2,4,5,3,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,7,5,4,6,8,2]=>[8,6,2,4,5,3,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,8,5,4,7,6,2]=>[8,6,1,4,5,2,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,8,5,7,6,4,2]=>[8,6,1,4,2,3,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,8,6,5,7,4,2]=>[8,6,1,3,4,2,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,8,6,7,5,2]=>[8,5,6,1,3,2,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,3,4,5,7,8,2]=>[8,3,6,5,4,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,3,4,5,6,8,2]=>[8,2,6,5,4,3,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,3,5,6,4,7,2]=>[8,1,6,4,3,5,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,3,5,7,6,4,2]=>[8,1,6,4,2,3,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,3,6,5,4,8,2]=>[8,2,6,3,4,5,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,5,4,6,7,3,2]=>[8,1,4,5,3,2,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,5,8,6,7,3]=>[7,8,5,4,1,3,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,4,8,6,7,3]=>[7,8,4,5,1,3,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,4,5,7,8,3]=>[7,8,3,5,4,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,4,6,7,5,3]=>[7,8,1,5,3,2,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,5,6,4,8,3]=>[7,8,2,4,3,5,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,5,6,4,7,3]=>[7,8,1,4,3,5,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,5,6,7,4,3]=>[7,8,1,4,3,2,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,8,5,6,7,4]=>[7,6,8,1,4,3,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,8,6,7,5,4]=>[7,6,8,1,3,2,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,8,6,7,5]=>[7,6,5,8,1,3,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,8,5,6,7,1]=>[7,6,5,1,4,3,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,4,8,5,7,6,1]=>[7,6,5,1,4,2,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,4,8,6,5,7,1]=>[7,6,5,1,3,4,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,4,8,6,7,5,1]=>[7,6,5,1,3,2,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,6,4,5,1,8,7]=>[7,6,3,5,4,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,7,4,5,6,8,1]=>[7,6,2,5,4,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,7,4,6,5,8,1]=>[7,6,2,5,3,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,7,5,4,6,8,1]=>[7,6,2,4,5,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,3,7,5,6,4,8,1]=>[7,6,2,4,3,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,3,8,5,6,7,1]=>[7,5,6,1,4,3,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,5,3,4,1,6,7,8]=>[7,4,6,5,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,3,4,5,7,8,1]=>[7,3,6,5,4,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,6,3,5,4,7,8,1]=>[7,3,6,4,5,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,8,3,7,6,5,4,1]=>[7,1,6,2,3,4,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,6,4,3,5,7,8,1]=>[7,3,5,6,4,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,6,4,5,3,7,8,1]=>[7,3,5,4,6,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,8,4,5,3,6,7,1]=>[7,1,5,4,6,3,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,7,4,5,6,3,8,1]=>[7,2,5,4,3,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,7,4,6,5,3,8,1]=>[7,2,5,3,4,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,7,5,4,6,3,1,8]=>[7,2,4,5,3,6,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,5,4,6,3,8,1]=>[7,2,4,5,3,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,1,5,8,6,7,4]=>[6,7,8,4,1,3,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,7,5,6,8,4]=>[6,7,8,2,4,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,8,6,7,5,4]=>[6,7,8,1,3,2,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,8,6,7,5]=>[6,7,5,8,1,3,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,5,4,8,6,7,1]=>[6,7,4,5,1,3,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,4,5,1,7,8]=>[6,7,3,5,4,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,4,5,1,8,7]=>[6,7,3,5,4,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,7,5,4,6,8,1]=>[6,7,2,4,5,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,7,5,6,4,1,8]=>[6,7,2,4,3,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,7,5,6,4,8,1]=>[6,7,2,4,3,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,8,5,6,4,7,1]=>[6,7,1,4,3,5,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,3,1,6,7,8,5]=>[5,7,6,8,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,3,1,7,6,8,5]=>[5,7,6,8,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,3,5,1,7,8,6]=>[5,7,6,4,8,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,3,5,6,1,8,7]=>[5,7,6,4,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,3,8,5,6,7,1]=>[5,7,6,1,4,3,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,3,7,6,5,8,1]=>[5,7,6,2,3,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,3,8,7,6,5,1]=>[5,7,6,1,2,3,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,2,3,5,7,6,4,1]=>[1,7,6,4,2,3,5,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,4,3,6,7,8,1]=>[4,7,5,6,3,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,2,4,5,3,6,1,8]=>[2,7,5,4,6,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,2,4,5,6,3,1,8]=>[2,7,5,4,3,6,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,2,7,5,6,4,3,1]=>[1,7,2,4,3,5,6,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,7,5,6,8,1]=>[5,6,7,2,4,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,3,2,4,7,6,8,1]=>[4,6,7,5,2,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,2,5,4,6,8,1]=>[2,6,7,4,5,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,3,2,5,6,4,7,1]=>[1,6,7,4,3,5,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,3,2,5,6,7,4,1]=>[1,6,7,4,3,2,5,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[5,3,4,2,1,7,8,6]=>[4,6,5,7,8,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,2,1,8,7,6]=>[4,6,5,7,8,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,2,6,1,8,7]=>[4,6,5,7,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,2,7,6,1,8]=>[4,6,5,7,2,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,2,7,6,8,1]=>[4,6,5,7,2,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,3,4,2,8,6,7,1]=>[4,6,5,7,1,3,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,3,4,2,8,7,6,1]=>[4,6,5,7,1,2,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,3,4,2,5,1,8,7]=>[3,6,5,7,4,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,4,2,6,5,1,8]=>[2,6,5,7,3,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,4,2,6,5,8,1]=>[2,6,5,7,3,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,3,4,6,5,2,1,8]=>[2,6,5,3,4,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[7,3,5,4,6,2,1,8]=>[2,6,4,5,3,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,5,4,7,6,2,1]=>[1,6,4,5,2,3,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[7,3,6,4,5,2,1,8]=>[2,6,3,5,4,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,6,4,5,7,2,1]=>[1,6,3,5,4,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[7,3,6,5,4,2,1,8]=>[2,6,3,4,5,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,7,6,5,4,2,1]=>[1,6,2,3,4,5,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,4,3,5,7,6,2,1]=>[1,5,6,4,2,3,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[8,4,3,6,5,7,2,1]=>[1,5,6,3,4,2,7,8]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[2,4,1,3,6,5,8,7]=>[7,5,8,6,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,6,8,5,7]=>[7,8,5,6,3,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,6,8,3,5,7]=>[7,8,5,3,1,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,6,3,7,5,8]=>[7,5,8,3,6,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,6,1,7,3,5,8]=>[7,5,3,8,2,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,6,7,3,8,5]=>[7,5,8,3,2,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,6,7,1,3,8,5]=>[7,5,3,2,8,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,6,7,1,8,3,5]=>[7,5,3,2,8,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,7,3,5,8,6]=>[7,5,8,2,6,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,7,3,8,5,6]=>[7,5,8,2,6,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,7,8,3,5,6]=>[7,8,5,2,1,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,5,3,7,6,8]=>[7,5,8,4,6,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,5,1,7,3,8,6]=>[7,5,4,8,2,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,3,8,5,6,7]=>[7,5,8,6,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,8,3,5,6,7]=>[7,5,8,1,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,8,1,3,5,6,7]=>[7,5,1,8,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,5,3,8,6,7]=>[7,5,8,4,6,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,5,8,3,6,7]=>[7,8,5,4,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,5,1,3,6,8,7]=>[7,5,4,8,6,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,5,6,1,7,8,3]=>[7,5,4,3,8,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,3,6,4,8,7]=>[7,4,8,6,3,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,1,3,8,4,7]=>[7,4,3,8,6,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,6,7,3,4,8]=>[7,4,8,3,2,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,6,3,7,8,4]=>[7,4,8,3,6,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,6,7,3,8,4]=>[7,4,8,3,2,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,7,1,3,8,4]=>[7,4,3,2,8,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,7,1,8,3,4]=>[7,4,3,2,8,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,7,8,3,4,6]=>[7,8,4,2,1,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,7,1,8,3,4,6]=>[7,4,2,8,1,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,3,7,4,6,8]=>[7,4,8,6,2,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,1,3,4,7,8,6]=>[7,4,8,6,5,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,8,3,4,6,7]=>[7,8,4,1,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,5,6,7,8,1,4]=>[7,6,4,3,2,1,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,3,7,4,8,5]=>[7,8,3,6,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,3,7,4,8,5]=>[7,3,8,6,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,3,7,8,4,5]=>[7,8,3,6,2,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,7,3,8,4,5]=>[7,3,8,2,6,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,7,1,8,3,4,5]=>[7,3,2,8,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,6,4,7,5,8]=>[7,6,8,3,5,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,3,4,7,8,5]=>[7,8,3,6,5,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,6,1,4,7,8,5]=>[7,6,3,8,5,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,6,1,7,4,8,5]=>[7,6,3,8,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,6,1,7,8,4,5]=>[7,6,3,8,2,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,3,8,4,5,7]=>[7,3,8,6,1,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,8,3,4,5,7]=>[7,8,3,1,6,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,3,4,5,8,7]=>[7,3,8,6,5,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,6,8,5,7]=>[7,6,5,8,3,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,3,8,4,5,6]=>[7,8,2,6,1,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,1,8,3,4,5,6]=>[7,2,8,1,6,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,3,4,8,5,6]=>[7,8,2,6,5,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,3,4,5,8,6]=>[7,8,2,6,5,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,7,1,5,8,6]=>[7,6,5,2,8,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,3,4,5,6,7]=>[7,8,1,6,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,8,4,5,6,7]=>[7,8,6,1,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,8,4,5,6,7]=>[7,6,8,1,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,8,1,4,5,6,7]=>[7,6,1,8,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,3,4,8,5,6,7]=>[7,8,6,5,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,1,4,8,5,6,7]=>[7,6,8,5,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,5,8,6,7]=>[7,6,5,8,4,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,6,5,8,7]=>[6,8,5,7,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,6,8,5,7]=>[6,5,8,7,3,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,6,5,7,8]=>[6,8,5,7,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,6,5,7,8]=>[6,5,8,7,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,6,2,5,7,8]=>[6,5,8,3,7,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,6,7,5,8]=>[6,5,8,7,3,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,6,2,7,5,8]=>[6,8,5,3,7,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,1,2,7,5,8]=>[6,5,3,8,7,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,6,7,8,5]=>[6,8,5,7,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,6,7,8,5]=>[6,5,8,7,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,6,2,7,8,5]=>[6,8,5,3,7,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,1,2,7,8,5]=>[6,5,3,8,7,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,7,1,2,8,5]=>[6,5,3,2,8,7,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,6,7,8,2,5]=>[6,5,8,3,2,1,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,7,1,8,2,5]=>[6,5,3,2,8,1,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,7,8,1,2,5]=>[6,5,3,2,1,8,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,7,5,8,6]=>[6,5,8,7,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,7,2,5,8,6]=>[6,5,8,2,7,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,7,8,5,6]=>[6,8,5,7,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,7,2,8,5,6]=>[6,8,5,2,7,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,7,8,2,5,6]=>[6,5,8,2,1,7,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,7,5,6,8]=>[6,5,8,7,2,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,5,7,6,8]=>[6,8,5,7,4,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,5,7,6,8]=>[6,5,8,7,4,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,5,7,8,6]=>[6,8,5,7,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,5,7,8,6]=>[6,5,8,7,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,7,1,2,8,6]=>[6,5,4,2,8,7,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,8,5,6,7]=>[6,8,5,7,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,8,5,6,7]=>[6,5,8,7,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,8,2,5,6,7]=>[6,8,5,1,7,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,8,2,5,6,7]=>[6,5,8,1,7,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,8,1,2,5,6,7]=>[6,5,1,8,7,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,5,8,6,7]=>[6,5,8,7,4,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,1,2,8,6,7]=>[6,5,4,8,7,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,5,6,8,7]=>[6,5,8,7,4,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,1,2,8,7]=>[6,5,4,3,8,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,5,6,8,2,7]=>[6,8,5,4,3,1,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,5,6,8,2,7]=>[6,5,8,4,3,1,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,1,8,2,7]=>[6,5,4,3,8,1,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,8,1,2,7]=>[6,5,4,3,1,8,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,1,7,2,8]=>[6,5,4,3,8,2,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,5,6,7,8,2]=>[6,8,5,4,3,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,5,6,7,8,2]=>[6,5,8,4,3,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,1,7,8,2]=>[6,5,4,3,8,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,6,7,1,8,2]=>[6,5,4,3,2,8,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,6,4,8,7]=>[6,8,4,7,3,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,1,2,4,8,7]=>[6,4,3,8,7,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,6,8,4,7]=>[6,8,4,7,3,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,6,2,8,4,7]=>[6,4,8,3,7,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,1,2,8,4,7]=>[6,4,3,8,7,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,6,4,7,8]=>[6,8,4,7,3,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,2,6,4,7,8]=>[6,4,8,7,3,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,6,7,4,8]=>[6,8,4,7,3,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,1,7,2,4,8]=>[6,4,3,8,2,7,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,6,7,8,4]=>[6,8,4,7,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,6,2,7,8,4]=>[6,8,4,3,7,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,1,2,7,8,4]=>[6,4,3,8,7,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,6,7,2,8,4]=>[6,8,4,3,2,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,6,7,2,8,4]=>[6,4,8,3,2,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,1,7,2,8,4]=>[6,4,3,8,2,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,1,7,8,2,4]=>[6,4,3,8,2,1,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,7,2,4,8,6]=>[6,4,8,2,7,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,7,8,2,4,6]=>[6,8,4,2,1,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,2,7,4,6,8]=>[6,4,8,7,2,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,2,4,7,6,8]=>[6,4,8,7,5,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,5,7,4,8,6]=>[6,8,7,4,2,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,8,4,6,7]=>[6,8,4,7,1,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,8,2,4,6,7]=>[6,8,4,1,7,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,4,8,6,7]=>[6,8,4,7,5,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,4,6,8,7]=>[6,8,4,7,5,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,5,4,6,8,7]=>[6,8,7,4,5,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,1,2,7,4,8,5]=>[6,3,8,7,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,7,1,8,2,4,5]=>[6,3,2,8,1,7,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,2,4,7,5,8]=>[6,8,3,7,5,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,8,2,4,5,7]=>[6,8,3,1,7,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,6,4,8,5,7]=>[6,8,7,3,5,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,6,8,4,5,7]=>[6,8,7,3,1,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,7,8,2,4,5,6]=>[6,8,2,1,7,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,1,8,2,4,5,6]=>[6,2,8,1,7,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,8,1,2,4,5,6]=>[6,2,1,8,7,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,7,2,4,8,5,6]=>[6,8,2,7,5,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,1,2,4,8,5,6]=>[6,2,8,7,5,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,7,8,4,5,6]=>[6,8,7,2,1,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,7,2,4,5,8,6]=>[6,8,2,7,5,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,1,2,4,5,8,6]=>[6,2,8,7,5,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,4,7,5,8,6]=>[6,8,7,5,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,2,7,5,8,6]=>[8,6,5,7,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,4,7,8,5,6]=>[6,8,7,5,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,7,2,4,5,6,8]=>[6,8,2,7,5,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,8,2,4,5,6,7]=>[6,8,1,7,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,4,8,5,6,7]=>[6,8,7,5,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,4,5,6,8,2,7]=>[8,6,5,4,3,1,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,6,3,8,7]=>[5,8,4,7,3,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,6,8,3,7]=>[5,8,4,7,3,1,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,1,8,2,3,7]=>[5,4,3,8,1,7,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,6,7,2,3,8]=>[5,4,8,3,2,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,1,7,2,3,8]=>[5,4,3,8,2,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,2,6,7,8,3]=>[5,4,8,7,3,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,7,1,2,8,3]=>[5,4,3,2,8,7,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,6,7,8,2,3]=>[5,4,8,3,2,1,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,1,7,8,2,3]=>[5,4,3,8,2,1,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,7,1,8,2,3]=>[5,4,3,2,8,1,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,7,3,8,6]=>[5,8,4,7,2,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,7,8,3,6]=>[5,8,4,7,2,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,7,2,8,3,6]=>[5,4,8,2,7,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,1,8,2,3,6]=>[5,4,2,8,1,7,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,2,7,3,6,8]=>[5,4,8,7,2,6,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,3,7,6,8]=>[5,8,4,7,6,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,3,7,8,6]=>[5,8,4,7,6,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,5,3,7,8,6]=>[5,8,7,4,6,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,8,3,6,7]=>[5,8,4,7,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,2,8,3,6,7]=>[5,4,8,7,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,5,3,8,6,7]=>[5,8,7,4,6,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,5,8,3,6,7]=>[5,8,7,4,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,5,6,3,8,7]=>[8,5,7,4,3,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,5,6,7,8,3]=>[5,8,7,4,3,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,5,6,7,8,3]=>[8,5,7,4,3,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,1,7,2,3,8,5]=>[5,3,8,2,7,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,2,7,8,3,5]=>[5,8,3,7,2,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,7,1,2,8,3,5]=>[5,3,2,8,7,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,1,7,8,2,3,5]=>[5,3,8,2,1,7,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,7,2,3,5,8]=>[5,8,3,2,7,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,1,2,3,7,5,8]=>[5,3,8,7,6,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,6,7,3,5,8]=>[5,8,7,3,2,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,6,2,7,8,3,5]=>[8,5,3,7,2,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,2,8,3,5,7]=>[5,8,3,7,1,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,1,2,8,3,5,7]=>[5,3,8,7,1,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,8,2,3,5,7]=>[5,8,3,1,7,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,2,3,8,5,7]=>[5,8,3,7,6,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,6,3,8,5,7]=>[5,8,7,3,6,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,6,8,3,5,7]=>[5,8,7,3,1,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,6,3,5,7,8]=>[5,8,7,3,6,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,1,2,8,3,5,6]=>[5,2,8,7,1,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,7,8,2,3,5,6]=>[5,8,2,1,7,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,1,8,2,3,5,6]=>[5,2,8,1,7,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,7,2,3,8,5,6]=>[5,8,2,7,6,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,7,3,5,8,6]=>[5,8,7,2,6,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,8,2,3,5,6,7]=>[5,8,1,7,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,2,7,3,8,4]=>[4,3,8,7,2,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,7,2,3,8,4]=>[4,3,8,2,7,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,1,2,3,8,4]=>[4,3,2,8,7,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,2,7,8,3,4]=>[4,8,3,7,2,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,7,8,2,3,4]=>[4,8,3,2,1,7,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,2,7,3,4,8]=>[4,3,8,7,2,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,7,2,3,4,8]=>[4,8,3,2,7,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,2,3,7,4,8]=>[4,8,3,7,6,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,2,3,7,4,8]=>[4,3,8,7,6,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,3,7,4,8]=>[4,8,7,3,6,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,7,3,4,8]=>[4,8,7,3,2,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,2,3,7,8,4]=>[4,3,8,7,6,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,7,3,8,4]=>[4,8,7,3,2,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,7,8,3,4]=>[4,8,7,3,2,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,2,8,3,4,7]=>[4,8,3,7,1,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,2,8,3,4,7]=>[4,3,8,7,1,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,8,2,3,4,7]=>[4,3,8,1,7,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,2,3,8,4,7]=>[4,3,8,7,6,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,8,3,4,7]=>[4,8,7,3,1,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,2,3,4,8,7]=>[4,3,8,7,6,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,2,3,4,7,8]=>[4,8,3,7,6,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,3,6,4,7,8]=>[4,8,7,6,3,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,3,6,7,4,8]=>[4,8,7,6,3,2,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,7,2,8,3,4,6]=>[4,8,2,7,1,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,2,8,3,4,6]=>[4,2,8,7,1,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,7,8,2,3,4,6]=>[4,8,2,1,7,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,8,2,3,4,6]=>[4,2,8,1,7,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,7,2,3,8,4,6]=>[4,8,2,7,6,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,7,2,3,8,4,6]=>[8,4,2,7,6,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,7,8,3,4,6]=>[4,8,7,2,1,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,7,2,3,4,8,6]=>[4,8,2,7,6,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,2,3,4,8,6]=>[4,2,8,7,6,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,7,2,3,4,6,8]=>[4,8,2,7,6,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,8,2,3,4,6,7]=>[4,8,1,7,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,8,2,3,4,6,7]=>[8,4,1,7,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,1,2,8,3,4,5]=>[3,2,8,7,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,7,8,2,3,4,5]=>[3,8,2,1,7,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,1,8,2,3,4,5]=>[3,2,8,1,7,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,7,2,3,8,4,5]=>[3,8,2,7,6,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,7,2,3,4,8,5]=>[3,8,2,7,6,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,3,7,4,8,5]=>[3,8,7,6,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,2,8,3,4,5,7]=>[8,3,7,1,6,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)
[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>000000000=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[5,2,4,1,3,6,7,8]=>[4,7,5,8,6,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,6,1,2,4,5,8]=>[2,6,3,8,7,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,8,1,3,4,6,7]=>[4,7,1,8,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,7,1,2,3,5,6]=>[1,5,2,8,7,6,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,7,1,2,4,8]=>[4,6,3,2,8,7,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,4,8,1,3,6,7]=>[4,7,5,1,8,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,5,7,1,2,4,6]=>[1,6,4,2,8,7,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,3,5,1,2,6,8]=>[5,2,6,4,8,7,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,4,6,1,2,3,7]=>[4,1,5,3,8,7,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,3,5,1,2,4,7]=>[3,1,6,4,8,7,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,3,7,1,2,5,6]=>[5,1,6,2,8,7,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,3,7,1,2,4,5]=>[3,1,6,2,8,7,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,4,7,1,2,3,5]=>[3,1,5,2,8,7,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,3,5,1,2,4,6]=>[2,1,6,4,8,7,5,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,2,6,1,3,7,8]=>[4,5,7,3,8,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,7,1,4,6,8]=>[4,6,7,2,8,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,7,1,2,6,8]=>[4,5,6,2,8,7,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,2,7,1,3,5,8]=>[3,5,7,2,8,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,7,1,2,5,8]=>[3,5,6,2,8,7,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,2,5,1,4,6,8]=>[2,6,7,4,8,5,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,2,4,1,3,6,8]=>[2,4,7,5,8,6,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,2,6,1,3,5,8]=>[2,5,7,3,8,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,8,1,4,6,7]=>[4,6,7,1,8,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,8,1,2,6,7]=>[4,5,6,1,8,7,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,2,8,1,3,5,7]=>[3,5,7,1,8,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,8,1,2,5,7]=>[3,5,6,1,8,7,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,2,8,1,3,4,7]=>[3,4,7,1,8,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,2,8,1,3,5,6]=>[2,5,7,1,8,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,3,8,1,2,4,6]=>[2,4,6,1,8,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,4,8,1,2,3,5]=>[2,3,5,1,8,7,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,2,6,1,3,5,7]=>[1,5,7,3,8,6,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,3,6,1,2,4,7]=>[1,4,6,3,8,7,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,3,5,1,2,4,7]=>[1,3,6,4,8,7,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,2,7,1,3,5,6]=>[1,5,7,2,8,6,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,3,7,1,2,4,6]=>[1,4,6,2,8,7,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,7,2,4,1,3,5,6]=>[1,2,7,5,8,6,4,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,2,5,1,3,4,6]=>[1,2,7,4,8,6,5,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,3,5,1,2,4,6]=>[1,2,6,4,8,7,5,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,3,6,1,2,4,5]=>[1,2,6,3,8,7,5,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,4,6,1,2,3,5]=>[1,2,5,3,8,7,6,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,6,2,4,8,1,3,7]=>[4,3,7,5,1,8,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,3,4,8,1,2,7]=>[4,3,6,5,1,8,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,2,4,8,1,3,6]=>[4,2,7,5,1,8,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,2,5,7,1,3,6]=>[5,1,7,4,2,8,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,2,6,7,1,4,5]=>[6,1,7,3,2,8,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,2,5,7,1,3,4]=>[3,1,7,4,2,8,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,2,6,8,1,3,7]=>[4,5,7,3,1,8,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,6,8,1,2,7]=>[4,5,6,3,1,8,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,5,8,1,2,7]=>[3,5,6,4,1,8,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,7,8,1,5,6]=>[5,6,7,2,1,8,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,2,7,8,1,3,6]=>[4,5,7,2,1,8,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,7,8,1,2,6]=>[4,5,6,2,1,8,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,2,7,8,1,3,5]=>[3,5,7,2,1,8,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,2,4,8,1,3,5]=>[2,3,7,5,1,8,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,3,4,8,1,2,5]=>[2,3,6,5,1,8,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,2,5,7,1,4,6]=>[1,6,7,4,2,8,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,2,5,7,1,3,6]=>[1,5,7,4,2,8,6,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,3,6,7,1,2,4]=>[1,4,6,3,2,8,7,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,2,5,7,1,3,4]=>[1,3,7,4,2,8,6,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,3,5,7,1,2,4]=>[1,3,6,4,2,8,7,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,7,2,4,6,1,3,5]=>[1,2,7,5,3,8,6,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,3,4,6,1,2,5]=>[1,2,6,5,3,8,7,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,8,2,6,1,3,7]=>[4,5,1,7,3,8,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,8,2,6,1,3,5]=>[2,5,1,7,3,8,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,8,4,6,1,2,3]=>[2,4,1,5,3,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[7,6,8,2,5,1,3,4]=>[2,3,1,7,4,8,6,5]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[8,6,7,2,5,1,3,4]=>[1,3,2,7,4,8,6,5]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
[5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,2,8,1,5,7]=>[3,5,6,7,1,8,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,3,2,6,1,4,7]=>[1,4,6,7,3,8,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,4,2,6,1,3,7]=>[1,4,5,7,3,8,6,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,5,2,4,1,3,6]=>[1,2,4,7,5,8,6,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,4,2,6,1,3,5]=>[1,2,5,7,3,8,6,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,4,3,6,1,2,5]=>[1,2,5,6,3,8,7,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,5,2,6,1,3,4]=>[1,2,4,7,3,8,6,5]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,5,3,6,1,2,4]=>[1,2,4,6,3,8,7,5]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,7,6,3,5,1,2,4]=>[1,2,3,6,4,8,7,5]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
[7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,3,8,2,7,1,4]=>[3,4,6,1,7,2,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,4,8,2,6,1,3]=>[2,4,5,1,7,3,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,3,7,2,6,1,4]=>[1,4,6,2,7,3,8,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,4,7,2,6,1,3]=>[1,4,5,2,7,3,8,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,4,7,3,6,1,2]=>[1,4,5,2,6,3,8,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)
[8,6,4,7,2,5,1,3]=>[1,3,5,2,7,4,8,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,4,7,3,5,1,2]=>[1,3,5,2,6,4,8,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)
[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,4,6,2,5,1,3]=>[1,2,5,3,7,4,8,6]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,4,6,3,5,1,2]=>[1,2,5,3,6,4,8,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)
[8,7,5,6,2,4,1,3]=>[1,2,4,3,7,5,8,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
[8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,7,5,4,2,6,1,3]=>[1,2,4,5,7,3,8,6]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,1,2,6,3,7,4,5]=>[1,8,7,3,6,2,5,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,1,2,8,7,3,5,6]=>[5,8,7,1,2,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,7,6,3,8,5]=>[5,8,7,2,3,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,1,2,5,8,7,3,6]=>[5,8,7,4,1,2,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,8,2,6,4,5,7]=>[6,8,1,7,3,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,8,2,6,7,4,5]=>[6,8,1,7,3,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,5,2,3,4,6,7]=>[1,8,4,7,6,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,1,5,2,3,8,4,7]=>[3,8,4,7,6,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,5,2,3,7,4,6]=>[1,8,4,7,6,2,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,1,8,2,3,7,4,5]=>[3,8,1,7,6,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,4,2,8,3,6,7]=>[4,8,5,7,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,4,2,7,3,8,6]=>[4,8,5,7,2,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,4,2,6,3,8,5]=>[2,8,5,7,3,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,5,2,6,3,4,7]=>[1,8,4,7,3,6,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,1,5,2,7,3,4,6]=>[1,8,4,7,2,6,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,1,5,2,6,3,8,4]=>[2,8,4,7,3,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,4,2,8,7,3,6]=>[4,8,5,7,1,2,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,5,2,6,7,3,4]=>[1,8,4,7,3,2,6,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,1,4,2,6,7,8,3]=>[4,8,5,7,3,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,8,6,2,4,5,7]=>[6,8,1,3,7,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,8,6,2,7,4,5]=>[6,8,1,3,7,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,8,5,7,2,4,6]=>[6,8,1,4,2,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,4,5,7,2,3,6]=>[1,8,5,4,2,7,6,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,1,4,5,6,7,2,3]=>[1,8,5,4,3,2,7,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,8,1,3,7,4,5,6]=>[7,1,8,6,2,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,1,6,3,4,8,5]=>[7,2,8,3,6,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,1,6,3,7,4,5]=>[7,1,8,3,6,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,5,3,7,8,4]=>[7,3,8,4,6,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,1,5,7,3,4,6]=>[7,1,8,4,2,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,1,2,7,4,5,6]=>[1,6,8,7,2,5,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,3,1,2,6,7,8,4]=>[4,6,8,7,3,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,1,2,3,7,5,6]=>[1,5,8,7,6,2,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,1,2,8,3,6,7]=>[4,5,8,7,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,1,2,7,3,4,6]=>[4,1,8,7,2,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,4,1,2,6,7,3,5]=>[1,5,8,7,3,2,6,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,1,2,6,7,8,3]=>[4,5,8,7,3,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,1,6,2,8,5,7]=>[5,6,8,3,7,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,1,6,2,7,8,5]=>[5,6,8,3,7,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,1,5,2,4,6,7]=>[1,6,8,4,7,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,3,1,5,2,4,8,6]=>[2,6,8,4,7,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,1,6,2,4,8,5]=>[2,6,8,3,7,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,1,5,2,7,4,6]=>[1,6,8,4,7,2,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,1,6,2,7,4,5]=>[1,6,8,3,7,2,5,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,1,5,2,3,6,7]=>[1,5,8,4,7,6,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,4,1,5,2,3,8,6]=>[2,5,8,4,7,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,1,6,2,3,5,7]=>[1,5,8,3,7,6,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,4,1,8,2,3,5,6]=>[2,5,8,1,7,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,1,6,2,3,4,5]=>[1,2,8,3,7,6,5,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[6,7,1,5,2,3,8,4]=>[3,2,8,4,7,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,1,5,2,8,3,7]=>[3,5,8,4,7,1,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,1,5,2,7,3,6]=>[1,5,8,4,7,2,6,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,1,6,2,7,3,5]=>[1,5,8,3,7,2,6,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,1,8,7,2,5,6]=>[5,6,8,1,2,7,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,1,5,6,2,4,7]=>[1,6,8,4,3,7,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,1,7,6,2,4,5]=>[1,6,8,2,3,7,5,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,3,1,5,6,2,8,4]=>[2,6,8,4,3,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,1,5,6,2,3,7]=>[1,5,8,4,3,7,6,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,1,5,7,2,3,6]=>[1,5,8,4,2,7,6,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,1,5,6,8,2,7]=>[5,6,8,4,3,1,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,1,5,6,7,8,2]=>[5,6,8,4,3,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,8,1,7,4,5,6]=>[7,6,1,8,2,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,7,1,6,4,8,5]=>[7,6,2,8,3,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,5,1,3,7,4,6]=>[7,1,4,8,6,2,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,5,1,3,7,8,4]=>[7,3,4,8,6,2,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,4,1,6,3,5,7]=>[7,1,5,8,3,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,4,1,8,7,3,6]=>[7,4,5,8,1,2,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,4,1,6,7,3,5]=>[7,1,5,8,3,2,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,4,1,2,8,5,7]=>[3,6,5,8,7,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,4,1,2,7,8,5]=>[3,6,5,8,7,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,7,1,2,4,8,5]=>[3,6,2,8,7,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,5,1,2,7,4,6]=>[1,6,4,8,7,2,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,5,1,2,3,4,7]=>[3,1,4,8,7,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,5,1,2,3,8,4]=>[3,2,4,8,7,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,8,5,1,2,7,3,4]=>[3,1,4,8,7,2,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,4,1,7,2,5,6]=>[1,6,5,8,2,7,4,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,3,4,1,6,2,8,5]=>[2,6,5,8,3,7,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,5,1,6,2,4,7]=>[1,6,4,8,3,7,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,3,5,1,6,2,8,4]=>[2,6,4,8,3,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,5,4,1,6,2,8,3]=>[2,4,5,8,3,7,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,4,1,6,7,8,2]=>[4,6,5,8,3,2,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,8,1,7,5,6]=>[7,6,5,1,8,2,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,7,6,1,4,8,5]=>[7,6,2,3,8,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,4,5,1,3,6,7]=>[7,1,5,4,8,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,4,5,1,3,8,6]=>[7,2,5,4,8,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,4,6,1,3,5,7]=>[7,1,5,3,8,6,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,8,5,1,2,4,6]=>[2,6,1,4,8,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,8,6,1,5,7]=>[7,6,5,1,3,8,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,8,7,1,5,6]=>[7,6,5,1,2,8,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,4,7,6,1,3,5]=>[7,1,5,2,3,8,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,7,5,6,1,3,4]=>[7,1,2,4,3,8,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,4,7,6,1,2,5]=>[1,6,5,2,3,8,7,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,7,5,6,1,2,4]=>[1,6,2,4,3,8,7,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,3,4,5,6,1,8,2]=>[2,6,5,4,3,8,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,4,2,8,7,1,6,3]=>[4,5,7,1,2,8,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,4,1,8,7,2,3,6]=>[4,5,8,1,2,7,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,3,1,8,2,7,4,6]=>[4,6,8,1,7,2,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,1,2,8,7,5,6]=>[5,6,8,7,1,2,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,1,3,8,5,7,6]=>[5,7,8,6,1,4,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,1,8,3,4,7,6]=>[4,7,8,1,6,5,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,5,2,3,7,6,1,8]=>[5,4,7,6,2,3,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,3,6,5,1,2,7]=>[1,5,6,3,4,8,7,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,5,6,3,4,8,7,2]=>[8,4,3,6,5,1,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,2,7,3,5,1,8]=>[5,3,7,2,6,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,7,4,5,1,8]=>[6,7,3,2,5,4,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,5,4,8,3,6,2]=>[8,2,4,5,1,6,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,8,6,2,4,1,3,7]=>[4,1,3,7,5,8,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,2,6,5,1,3,7]=>[5,1,7,3,4,8,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,8,6,5,1,4,7]=>[6,7,1,3,4,8,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,6,5,8,7,3]=>[5,8,7,3,4,1,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,2,4,8,7,3]=>[4,8,3,7,5,1,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,6,7,4,5,3,2]=>[8,1,3,2,5,4,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,7,8,2,4,5,3]=>[3,8,2,1,7,5,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,7,2,8,4,6,3]=>[4,8,2,7,1,5,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,7,8,5,6,3]=>[5,8,7,2,1,4,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,7,8,5,6,4]=>[6,7,8,2,1,4,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,8,7,1,5,4,6]=>[6,7,1,2,8,4,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,2,7,1,5,3,6]=>[5,1,7,2,8,4,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,7,2,1,4,3,6]=>[4,1,2,7,8,5,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,7,1,2,4,3,5]=>[3,1,2,8,7,5,6,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,8,1,3,2,4,5]=>[2,3,1,8,6,7,5,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[5,7,8,2,1,3,4,6]=>[4,2,1,7,8,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,8,4,1,5,7]=>[6,7,3,1,5,8,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,2,8,3,1,5,7]=>[5,3,7,1,6,8,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,8,2,3,1,4,7]=>[4,3,1,7,6,8,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,7,3,1,4,2,6]=>[1,4,2,6,8,5,7,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,5,7,3,8,4,6,2]=>[8,4,2,6,1,5,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,3,7,1,5,2,6]=>[1,5,6,2,8,4,7,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,5,2,3,8,1,6,7]=>[5,4,7,6,1,8,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,4,8,1,6,7]=>[6,7,4,5,1,8,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,3,1,8,2,6,5]=>[2,5,6,8,1,7,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,3,1,7,6,2,5]=>[1,5,6,8,2,3,7,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,1,3,7,6,2,4]=>[1,4,8,6,2,3,7,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,6,1,2,3,8,7,4]=>[4,3,8,7,6,1,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,1,4,8,7,5]=>[6,7,3,8,5,1,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,7,1,8,4,6,5]=>[6,7,2,8,1,5,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,2,8,3,6,4]=>[4,2,8,7,1,6,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,6,1,7,3,5,2,4]=>[1,3,8,2,6,4,7,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[6,8,1,7,2,5,3,4]=>[3,1,8,2,7,4,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,2,1,7,6,3,5]=>[5,1,7,8,2,3,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,8,7,6,5,3]=>[5,8,7,1,2,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,8,2,7,6,4,3]=>[4,8,1,7,2,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,8,7,2,5,4,3]=>[3,8,1,2,7,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,5,1,6,4,8,7]=>[6,7,4,8,3,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,4,7,1,8,6]=>[6,7,4,5,2,8,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,5,3,7,6,8,1]=>[5,7,4,6,2,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,5,3,7,1,8,6]=>[5,7,4,6,2,8,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,5,3,6,1,8,7]=>[5,7,4,6,3,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,5,1,6,3,8,7]=>[5,7,4,8,3,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,4,6,2,8,7]=>[6,8,4,5,3,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,3,6,2,8,7]=>[5,8,4,6,3,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,5,1,6,2,8,7]=>[5,6,4,8,3,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,5,2,7,1,8,6]=>[5,6,4,7,2,8,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,6,2,7,5,8,1]=>[5,6,3,7,2,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,3,6,2,7,1,8,5]=>[5,6,3,7,2,8,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,6,1,7,2,8,5]=>[5,6,3,8,2,7,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,5,1,7,2,8,6]=>[5,6,4,8,2,7,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,3,7,2,8,6]=>[5,8,4,6,2,7,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,4,7,2,8,6]=>[6,8,4,5,2,7,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,4,7,6,8,2]=>[6,8,4,5,2,3,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,3,7,6,8,2]=>[5,8,4,6,2,3,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,5,1,7,6,8,2]=>[5,6,4,8,2,3,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,6,1,7,5,8,2]=>[5,6,3,8,2,4,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,6,5,7,1,8,2]=>[5,6,3,4,2,8,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,4,7,2,8,1]=>[4,6,3,5,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,3,6,4,7,1,8,2]=>[4,6,3,5,2,8,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,1,7,4,8,2]=>[4,6,3,8,2,5,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,3,7,4,8,2]=>[4,8,3,6,2,5,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,3,7,5,8,2]=>[5,8,3,6,2,4,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,4,7,5,8,2]=>[6,8,3,5,2,4,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,4,7,5,8,3]=>[7,8,3,5,2,4,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,4,7,3,8,5]=>[7,8,3,5,2,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,4,7,2,8,5]=>[6,8,3,5,2,7,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,3,7,2,8,5]=>[5,8,3,6,2,7,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,3,7,2,8,4]=>[4,8,3,6,2,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,1,7,2,8,4]=>[4,6,3,8,2,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,2,7,1,8,4]=>[4,6,3,7,2,8,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,2,7,4,8,1]=>[4,6,3,7,2,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,2,6,3,7,4,8,1]=>[4,7,3,6,2,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,2,6,3,7,1,8,4]=>[4,7,3,6,2,8,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,6,1,7,3,8,4]=>[4,7,3,8,2,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,5,1,7,3,8,6]=>[5,7,4,8,2,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,1,7,3,8,5]=>[5,7,3,8,2,6,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,3,7,1,8,5]=>[5,7,3,6,2,8,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,3,7,5,8,1]=>[5,7,3,6,2,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,4,7,5,8,1]=>[6,7,3,5,2,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,4,7,1,8,5]=>[6,7,3,5,2,8,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,1,7,4,8,5]=>[6,7,3,8,2,5,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,1,7,4,8,6]=>[6,7,4,8,2,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,7,5,8,6]=>[6,7,5,8,2,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,7,6,8,5]=>[6,8,5,7,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,1,7,6,8,4]=>[6,7,4,8,2,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,1,7,5,8,4]=>[6,7,3,8,2,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,5,7,1,8,4]=>[6,7,3,4,2,8,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,5,7,3,8,1]=>[5,7,3,4,2,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,6,5,7,1,8,3]=>[5,7,3,4,2,8,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,1,7,5,8,3]=>[5,7,3,8,2,4,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,5,1,7,6,8,3]=>[5,7,4,8,2,3,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,5,2,7,6,8,3]=>[5,8,4,7,2,3,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,5,2,7,6,8,4]=>[6,8,4,7,2,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,3,7,6,8,4]=>[7,8,4,6,2,3,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,3,7,5,8,4]=>[7,8,3,6,2,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,2,7,5,8,4]=>[6,8,3,7,2,4,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,2,7,5,8,3]=>[5,8,3,7,2,4,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,2,7,4,8,3]=>[4,8,3,7,2,5,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,6,1,7,4,8,3]=>[4,7,3,8,2,5,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,6,4,7,1,8,3]=>[4,7,3,5,2,8,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,6,4,7,3,8,1]=>[4,7,3,5,2,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,6,2,7,3,8,1]=>[4,5,3,7,2,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,6,2,7,1,8,3]=>[4,5,3,7,2,8,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,1,7,2,8,3]=>[4,5,3,8,2,7,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,4,7,2,8,3]=>[4,8,3,5,2,7,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,5,7,2,8,3]=>[5,8,3,4,2,7,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,5,7,2,8,4]=>[6,8,3,4,2,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,5,7,3,8,4]=>[7,8,3,4,2,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,6,5,7,4,8,2]=>[6,8,3,4,2,5,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,5,7,3,8,2]=>[5,8,3,4,2,6,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,4,7,3,8,2]=>[4,8,3,5,2,6,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,1,7,3,8,2]=>[4,5,3,8,2,6,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,3,7,1,8,2]=>[4,5,3,6,2,8,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,6,1,3,4,2,5,7]=>[1,3,8,6,5,7,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,5,2,1,6,4,7]=>[1,6,4,7,8,3,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,3,5,2,4,1,7]=>[1,3,6,4,7,5,8,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,7,5,2,4,6,1]=>[1,6,2,4,7,5,3,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[2,4,5,7,3,1,8,6]=>[7,5,4,2,6,8,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,3,5,1,4,2,7]=>[1,3,6,4,8,5,7,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,6,1,4,5,3,2,7]=>[1,3,8,5,4,6,7,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,1,5,6,4,3,2,7]=>[1,8,4,3,5,6,7,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,7,4,2,1,6,3]=>[1,4,2,5,7,8,3,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,7,5,1,4,6,2]=>[1,6,2,4,8,5,3,7]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,6,3,8,7,1,5,2]=>[5,3,6,1,2,8,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,4,8,6,3,5,2]=>[8,2,5,1,3,6,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,5,8,7,4,1,2]=>[6,3,4,1,2,5,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,8,1,6,7,3,5,2]=>[5,1,8,3,2,6,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,8,5,7,2,4,1]=>[6,3,1,4,2,7,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,7,1,3,8,4,6]=>[4,7,2,8,6,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,1,7,8,2,4,6]=>[4,6,8,2,1,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,6,1,4,7,8,5]=>[6,7,3,8,5,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,7,2,1,8,4,6]=>[4,6,2,7,8,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,3,2,1,5,8,6]=>[5,2,6,7,8,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,2,1,3,5,8,6]=>[5,2,7,8,6,4,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,6,1,3,4,2,5]=>[1,2,3,8,6,5,7,4]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,6,7,2,1,5,4]=>[1,6,3,2,7,8,4,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,7,8,6,2,1,5,4]=>[6,2,1,3,7,8,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
[2,7,4,8,1,6,5,3]=>[7,2,5,1,8,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,8,2,1,7,5,3]=>[5,3,1,7,8,2,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,3,7,1,6,2,4]=>[1,4,6,2,8,3,7,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,7,2,1,3,6,4]=>[1,4,2,7,8,6,3,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,2,6,7,1,3,5,4]=>[1,7,3,2,8,6,4,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,6,1,8,7,2,5,3]=>[5,3,8,1,2,7,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,2,5,6,7,4,3]=>[1,8,7,4,3,2,5,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,2,6,5,7,4,1,3]=>[1,7,3,4,2,5,8,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,1,7,8,5,6,4,3]=>[7,8,2,1,4,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,2,5,8,6,4,3]=>[8,2,7,4,1,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,6,3,5,1,4,2]=>[1,2,3,6,4,8,5,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[8,4,7,6,5,1,3,2]=>[1,5,2,3,4,8,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
[8,7,1,5,6,4,3,2]=>[1,2,8,4,3,5,6,7]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,1,6,7,5,4,3,2]=>[1,8,3,2,4,5,6,7]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,2,5,1,6,8,4,7]=>[6,7,4,8,3,1,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,2,5,4,8,1,7]=>[6,3,7,4,5,1,8,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,2,1,6,8,3,7]=>[4,5,7,8,3,1,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,1,6,8,2,4,7]=>[4,6,8,3,1,7,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,2,8,1,3,4,7]=>[4,3,7,1,8,6,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,5,4,3,1,8,2,6]=>[2,4,5,6,8,1,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,5,7,4,6,1,3]=>[7,1,4,2,5,3,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,8,1,7,5,2]=>[3,5,6,1,8,2,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,7,1,8,6,5,2]=>[5,6,2,8,1,3,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,6,5,3,7,4,2]=>[8,1,3,4,6,2,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,7,3,1,4,5,2]=>[3,1,2,6,8,5,4,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[6,2,8,7,4,5,1,3]=>[3,7,1,2,5,4,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,1,6,8,4,2,5]=>[2,6,8,3,1,5,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,6,3,2,8,4]=>[4,2,8,3,6,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,5,3,2,1,8,4]=>[2,3,4,6,7,8,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,2,1,7,3,8,4]=>[3,4,7,8,2,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,7,4,2,8,3,5]=>[3,8,2,5,7,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,2,1,8,3,4,5]=>[3,2,7,8,1,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,8,2,1,3,4,6]=>[2,4,1,7,8,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,1,8,2,4,6]=>[4,2,6,8,1,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,1,5,2,8,3,6]=>[5,2,8,4,7,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,8,6,3,7,5,1]=>[7,5,1,3,6,2,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,8,6,2,4,7,5,1]=>[6,1,3,7,5,2,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,3,6,2,4,1,8,5]=>[2,6,3,7,5,8,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,7,8,2,1,5,6]=>[5,6,2,1,7,8,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,7,1,4,6,2,5]=>[1,6,2,8,5,3,7,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,8,2,5,7,1,6,4]=>[6,1,7,4,2,8,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,7,8,2,1,6,5,3]=>[5,2,1,7,8,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,8,1,7,5,3]=>[5,7,3,1,8,2,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,8,2,7,1,6,3]=>[4,5,1,7,2,8,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,1,5,7,2,6,3]=>[5,1,8,4,2,7,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,7,1,6,2,4]=>[4,1,6,2,8,3,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,7,2,6,1,3,4]=>[4,1,2,7,3,8,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,6,8,2,7,4,3]=>[4,8,3,1,7,2,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,8,7,5,4,3,1]=>[3,7,1,2,4,5,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,4,6,1,5,3,2]=>[1,2,5,3,8,4,6,7]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,5,1,2,4,8,7]=>[3,6,4,8,7,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,5,6,1,2,8,7]=>[5,6,4,3,8,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,7,5,2,1,4,6]=>[1,6,2,4,7,8,5,3]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,3,7,5,1,8,4,2]=>[3,6,2,4,8,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,2,7,1,8,3,4]=>[3,4,7,2,8,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,4,5,3,8,7]=>[3,8,7,5,4,6,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,3,2,1,4,8,7]=>[4,3,6,7,8,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,5,1,2,8,7]=>[3,5,6,4,8,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,1,4,6,2,8,7]=>[4,6,8,5,3,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,4,6,2,8,3,1]=>[4,2,5,3,7,1,6,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,4,7,8,5,2,1,6]=>[6,5,2,1,4,7,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,5,7,3,4,6]=>[7,8,1,4,2,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,8,6,5,7,1,2]=>[6,5,1,3,4,2,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,1,4,6,8,2,7,3]=>[4,8,5,3,1,7,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,4,6,7,1,8,3]=>[7,4,5,3,2,8,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,8,4,1,7,3,2]=>[3,4,1,5,8,2,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,8,3,7,6,5]=>[7,8,5,1,6,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,1,2,5,7,6,4]=>[1,6,8,7,4,2,3,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,1,8,2,7,6,5,4]=>[6,8,1,7,2,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,8,1,6,7,5,4]=>[7,6,1,8,3,2,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,7,2,6,8,5,1]=>[5,6,2,7,3,1,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,2,3,5,6,7,4]=>[1,8,7,6,4,3,2,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,8,2,4,3,6,1,5]=>[2,1,7,5,6,3,8,4]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,8,3,2,4,1,7,5]=>[3,1,6,7,5,8,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,3,4,6,7,5]=>[7,8,1,6,5,3,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,8,5,4,3,6]=>[7,8,2,1,4,5,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,8,1,4,2,6]=>[4,2,6,1,8,5,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,8,4,5,3,2,6]=>[2,8,1,5,4,6,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,1,6,3,4,2,5]=>[1,2,8,3,6,5,7,4]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,3,8,7,4,2,6,1]=>[4,6,1,2,5,7,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,3,5,8,2,4,1,6]=>[2,6,4,1,7,5,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,1,8,5,7,6]=>[7,6,5,8,1,4,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,3,2,8,5,7,6]=>[5,8,6,7,1,4,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,3,2,6,7,8,5]=>[5,8,6,7,3,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,5,6,2,7,1,4]=>[1,6,4,3,7,2,8,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[5,8,3,6,1,7,2,4]=>[4,1,6,3,8,2,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,6,5,7,3,4]=>[7,8,1,3,4,2,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,4,2,5,6,8,3]=>[2,8,5,7,4,3,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,4,1,6,5,8,3]=>[7,2,5,8,3,4,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,2,1,5,8,7,3]=>[3,5,7,8,4,1,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,2,6,3,1,8,7]=>[5,4,7,3,6,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,2,7,4,1,6,3]=>[1,4,7,2,5,8,3,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,3,7,5,2,1,6,4]=>[1,6,2,4,7,8,3,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,3,7,5,2,8,4,1]=>[3,6,2,4,7,1,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,3,1,5,2,4,8,7]=>[3,6,8,4,7,5,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,3,6,1,2,8,7]=>[4,5,6,3,8,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,7,4,1,8,5,2]=>[6,3,2,5,8,1,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,6,3,1,5,7,4]=>[7,1,3,6,8,4,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,6,3,2,5,4,7]=>[1,8,3,6,7,4,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,8,4,1,6,3,7,5]=>[7,1,5,8,3,6,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,4,3,5,8,1,7,2]=>[3,5,6,4,1,8,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,6,1,8,2,4]=>[4,2,6,3,8,1,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,6,4,5,8,1,3]=>[7,2,3,5,4,1,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,5,6,8,4,2,1]=>[6,2,4,3,1,5,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[5,7,1,6,8,2,4,3]=>[4,2,8,3,1,7,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,2,5,8,3,7,1]=>[5,3,7,4,1,6,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,5,2,6,3,8,1,4]=>[2,4,7,3,6,1,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,3,6,8,7,5]=>[5,8,7,6,3,1,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,3,1,8,5,6,7]=>[7,5,6,8,1,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,2,8,3,4,6,1]=>[2,4,7,1,6,5,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,7,2,8,1,5,3,6]=>[5,2,7,1,8,4,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,8,6,3,4,1,2]=>[4,2,1,3,6,5,8,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
[5,7,3,8,1,4,6,2]=>[4,2,6,1,8,5,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,8,5,4,6,3]=>[7,8,2,1,4,5,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,5,8,4,6,3,7]=>[7,8,4,1,5,3,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,8,4,3,6,2,1]=>[2,4,1,5,6,3,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[2,4,8,3,5,6,1,7]=>[7,5,1,6,4,3,8,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,8,3,6,5,2,7]=>[5,8,1,6,3,4,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,8,2,4,7,6,5]=>[6,8,1,7,5,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,2,1,6,5,3,4]=>[2,1,7,8,3,4,6,5]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,3,8,1,7,2,5,6]=>[5,6,1,8,2,7,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,1,4,7,2,5,8]=>[3,6,8,5,2,7,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,3,4,5,1,6,2]=>[2,1,6,5,4,8,3,7]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,5,8,7,4,3]=>[3,8,7,4,1,2,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,7,5,8,1,2]=>[3,5,6,2,4,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,3,8,7,5,6,1,2]=>[5,6,1,2,4,3,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,5,6,7,2,8,1,3]=>[5,4,3,2,7,1,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,6,1,8,3,2]=>[5,4,2,3,8,1,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,4,1,8,3,7,5]=>[3,7,5,8,1,6,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,2,4,1,6,3,8]=>[4,2,7,5,8,3,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,7,2,6,5,3,8]=>[5,8,2,7,3,4,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,7,5,6,8,1,2]=>[5,6,2,4,3,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[3,6,7,8,5,1,4,2]=>[6,3,2,1,4,8,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,7,8,2,1,4,6]=>[4,6,2,1,7,8,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,1,2,5,8,3,4]=>[2,3,8,7,4,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,8,4,3,5,6]=>[7,8,2,1,5,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,8,3,2,4,5,7]=>[3,8,1,6,7,5,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,2,8,1,3,6,5]=>[5,2,7,1,8,6,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,7,1,8,2,6,5]=>[6,5,2,8,1,7,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,4,1,6,5,3,7]=>[7,1,5,8,3,4,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,2,8,5,1,6,4,3]=>[2,7,1,4,8,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,5,3,4,1,6,7]=>[7,1,4,6,5,8,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,7,6,1,4,5,3]=>[7,1,2,3,8,5,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,6,5,7,3,1,4]=>[7,1,3,4,2,6,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,2,8,5,1,4,7]=>[3,6,7,1,4,8,5,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,5,1,3,7,2]=>[3,5,1,4,8,6,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,7,5,2,1,8,4]=>[3,6,2,4,7,8,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,1,2,7,6,8,5]=>[6,5,8,7,2,3,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,2,7,4,1,8,3]=>[3,4,7,2,5,8,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,8,7,2,4,3]=>[4,3,8,1,2,7,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,2,1,8,6,5,7]=>[5,6,7,8,1,3,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,1,3,8,7,6,5]=>[5,7,8,6,1,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,6,8,4,3,5,2]=>[2,8,3,1,5,6,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,2,8,4,5,7,3]=>[3,8,7,1,5,4,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,8,2,3,1,7,4]=>[4,3,1,7,6,8,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,8,2,4,3,1,7]=>[3,4,1,7,5,6,8,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,3,8,2,4,1,6]=>[2,4,6,1,7,5,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[4,1,8,3,5,6,7,2]=>[5,8,1,6,4,3,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,8,3,6,2,7,5]=>[5,8,1,6,3,7,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,8,6,1,7,5]=>[7,6,5,1,3,8,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,4,8,6,5,1,7]=>[7,6,5,1,3,4,8,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,3,5,8,6,1,4]=>[7,2,6,4,1,3,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,1,4,8,2,7]=>[4,6,3,8,5,1,7,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,5,6,8,4,2,1]=>[2,6,4,3,1,5,7,8]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[6,3,5,1,8,2,7,4]=>[3,6,4,8,1,7,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,5,8,4,7,3]=>[7,3,8,4,1,5,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,6,3,8,4,2]=>[4,2,8,3,6,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,4,1,7,8,5,6]=>[6,7,5,8,2,1,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,2,7,8,6,5]=>[6,8,5,7,2,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,4,7,8,2,5,1]=>[6,3,5,2,1,7,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,3,4,5,7,1,8,2]=>[3,6,5,4,2,8,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,4,6,1,7,8,3]=>[7,4,5,3,8,2,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,2,1,4,3,6,5,8]=>[2,7,8,5,6,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,4,1,2,6,5,8]=>[2,6,5,8,7,3,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,3,2,5,4,1,8]=>[2,3,6,7,4,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,3,2,5,4,8,1]=>[3,2,6,7,4,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,5,1,6,2,4,8]=>[2,6,4,8,3,7,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,2,1,5,6,3,4,8]=>[2,7,8,4,3,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,5,4,3,2,7,6]=>[8,1,4,5,6,7,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,7,5,1,3,8,2]=>[3,5,2,4,8,6,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,7,1,5,4,8,2]=>[3,6,2,8,4,5,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,1,7,5,4,8,3]=>[3,7,8,2,4,5,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,8,5,4,7,6]=>[6,7,8,1,4,5,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,8,1,5,4,7,6]=>[7,6,1,8,4,5,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,8,5,1,3,7,6]=>[7,5,1,4,8,6,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,8,4,3,7,1,5]=>[7,3,1,5,6,2,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,7,4,3,6,5,2]=>[8,1,2,5,6,3,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,8,6,7,1,3,4]=>[7,4,1,3,2,8,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,8,6,1,7,3,5]=>[7,5,1,3,8,2,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,8,6,7,4,5]=>[6,7,8,1,3,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,1,7,6,8,4,3]=>[4,7,8,2,3,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,7,1,6,8,4,2]=>[4,6,2,8,3,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,7,6,1,8,3,2]=>[4,5,2,3,8,1,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,6,8,1,3,2]=>[5,4,2,3,1,8,6,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[4,6,7,5,8,3,1,2]=>[5,3,2,4,1,6,8,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
[1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,5,7,8,2,1,3]=>[5,3,4,2,1,7,8,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[5,4,6,7,1,8,2,3]=>[4,5,3,2,8,1,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,1,7,8,2,4]=>[4,6,3,8,2,1,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,1,6,7,8,3,4]=>[4,7,8,3,2,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,1,5,7,3,8,4]=>[3,7,8,4,2,6,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,5,1,7,2,8,4]=>[3,6,4,8,2,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,5,7,1,2,8,3]=>[3,5,4,2,8,7,1,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,4,7,2,8,1,3]=>[4,3,5,2,7,1,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,2,6,8,4,1]=>[4,2,6,7,3,1,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,4,3,2,1,7,8,5]=>[3,5,6,7,8,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,1,4,3,7,8,5]=>[3,7,8,5,6,2,1,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,1,4,3,8,7,6]=>[4,7,8,5,6,1,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,3,2,8,6,5,1]=>[5,2,6,7,1,3,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,4,8,2,1,7,6]=>[6,4,5,1,7,8,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,5,8,1,2,7,6]=>[6,5,4,1,8,7,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,1,5,8,3,7,6]=>[5,7,8,4,1,6,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,1,6,8,7,3,5]=>[5,7,8,3,1,2,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,8,1,7,2,5]=>[6,5,3,1,8,2,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,5,8,7,2,1,4]=>[6,3,4,1,2,7,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,7,8,6,1,4,2]=>[6,4,2,1,3,8,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,7,8,1,6,5,2]=>[6,5,2,1,8,3,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,1,7,8,6,5,3]=>[5,7,8,2,1,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,8,1,7,6,5,4]=>[7,6,1,8,2,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,8,7,1,6,5,3]=>[7,5,1,2,8,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,8,7,6,1,4,3]=>[7,4,1,2,3,8,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,6,7,3,2,5,4]=>[1,8,3,2,6,7,4,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,1,5,3,7,2,6,4]=>[1,8,4,6,2,7,3,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,3,2,1,4,5,8,7]=>[3,6,7,8,5,4,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,8,5,6,2,1,4]=>[6,2,1,4,3,7,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,8,4,2,6,1,5]=>[6,2,1,5,7,3,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,2,3,1,8,6,7]=>[4,5,7,6,8,1,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,4,1,8,7,2,3]=>[3,4,5,8,1,2,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,2,1,3,8,5,7]=>[3,5,7,8,6,1,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,5,8,7,3,4,1]=>[7,3,4,1,2,6,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,7,8,3,4,1]=>[7,4,3,2,1,6,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,6,7,3,8,5,1]=>[7,5,3,2,6,1,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,7,8,3,2,1,6,5]=>[5,2,1,6,7,8,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,7,2,8,1,5]=>[6,5,3,2,7,1,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,2,1,8,7,3]=>[5,4,3,7,8,1,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,7,5,1,8,4,2]=>[6,3,2,4,8,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,5,1,7,8,4,3]=>[7,3,4,8,2,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,1,6,8,2,3]=>[5,4,2,8,3,1,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,1,2,8,5,3,7]=>[3,5,8,7,1,4,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,1,2,8,6,5,7]=>[5,6,8,7,1,3,4,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,5,7,8,3,4]=>[7,3,8,4,2,1,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,1,5,8,3,2,4]=>[2,3,8,4,1,6,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,7,1,5,8,2,4]=>[6,3,2,8,4,1,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,6,5,8,2,4,3]=>[2,8,3,4,1,7,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,1,6,8,4,2,3]=>[2,4,8,3,1,5,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,1,6,8,5,2,3]=>[2,5,8,3,1,4,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,2,5,7,3,4,8]=>[8,3,7,4,2,6,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,1,5,8,7,3,4]=>[3,7,8,4,1,2,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,1,5,8,6,2,4]=>[2,6,8,4,1,3,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,6,4,8,2,5,3]=>[2,8,3,5,1,7,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,5,2,8,3,7,4]=>[3,8,4,7,1,6,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,3,1,4,8,6,2,5]=>[2,6,8,5,1,3,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,4,2,8,3,7,5]=>[3,8,5,7,1,6,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,4,3,8,2,6,5]=>[2,8,5,6,1,7,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,6,7,1,4,8,2,5]=>[6,3,2,8,5,1,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,6,1,4,7,8,3,5]=>[7,3,8,5,2,1,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,3,5,8,2,4,6]=>[2,8,6,4,1,7,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,2,1,6,3,4,5]=>[2,1,7,8,3,6,5,4]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,8,3,5,6,4,1,2]=>[2,1,6,4,3,5,8,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
[1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,8,4,7,6,1,2]=>[6,4,1,5,2,3,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[4,6,2,5,3,1,8,7]=>[5,3,7,4,6,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,6,1,4,8,2]=>[4,2,6,3,8,5,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[1,6,7,5,8,2,4,3]=>[8,3,2,4,1,7,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,7,8,1,4,2]=>[6,4,3,2,1,8,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,6,8,4,5,3,7]=>[7,8,3,1,5,4,6,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,7,1,8,5,3,4,6]=>[7,2,8,1,4,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,8,1,6,3,7,5]=>[5,7,1,8,3,6,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,8,6,3,2,1,4]=>[4,2,1,3,6,7,8,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[5,7,8,6,1,3,4,2]=>[4,2,1,3,8,6,5,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[3,6,4,5,8,7,1,2]=>[6,3,5,4,1,2,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,5,2,7,1,8,4,3]=>[3,4,7,2,8,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,2,7,3,1,4,8]=>[4,3,7,2,6,8,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,6,4,1,8,3,2]=>[4,2,3,5,8,1,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,5,3,8,4,1,2]=>[3,2,4,6,1,5,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[7,5,2,4,3,1,6,8]=>[2,4,7,5,6,8,3,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,6,1,2,5,3,8]=>[2,5,3,8,7,4,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,1,4,2,5,7,3]=>[3,1,8,5,7,4,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,3,7,5,4,2,8]=>[8,3,6,2,4,5,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,1,3,7,5,4,2]=>[3,1,8,6,2,4,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,2,6,5,1,3,8]=>[2,5,7,3,4,8,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,6,3,1,5,2,8]=>[2,5,3,6,8,4,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,1,2,3,4,7,5]=>[3,1,8,7,6,5,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,8,2,3,6,7,4]=>[4,8,1,7,6,3,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,3,6,8,4,7,1]=>[7,4,6,3,1,5,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,5,7,8,1,4,6,3]=>[7,4,2,1,8,5,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,1,8,6,3,7,4]=>[4,7,8,1,3,6,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,8,7,6,2,4,1]=>[4,6,1,2,3,7,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,8,4,7,6,2,1,3]=>[4,1,5,2,3,7,8,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[5,8,7,4,3,6,1,2]=>[4,1,2,5,6,3,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,4,8,3,1,7,2,5]=>[3,5,1,6,8,2,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,2,8,7,1,3,5]=>[3,5,7,1,2,8,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,8,7,2,5,1,4]=>[3,6,1,2,7,4,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,1,8,7,2,4,5]=>[3,6,8,1,2,7,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,3,7,8,6,2,4]=>[8,4,6,2,1,3,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,8,4,6,2,7,3]=>[4,8,1,5,3,7,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,7,4,1,6,2,3]=>[4,1,2,5,8,3,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,1,2,7,3,5]=>[3,5,1,8,7,2,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,5,1,2,3,7,4]=>[3,1,4,8,7,6,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,5,2,4,3,7,1]=>[3,1,4,7,5,6,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,8,5,3,1,2,7,4]=>[3,1,4,6,8,7,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,1,2,6,8,7,3]=>[5,4,8,7,3,1,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,1,8,4,7,2]=>[6,4,3,8,1,5,2,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,7,1,2,8,6,4]=>[6,4,2,8,7,1,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,3,1,2,7,5,8]=>[5,3,6,8,7,2,4,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,5,7,1,6,3,8]=>[5,7,4,2,8,3,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,2,7,8,1,6,4]=>[6,4,7,2,1,8,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,4,7,5,6,2,8]=>[6,8,5,2,4,3,7,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,6,8,5,2,7,1]=>[6,5,3,1,4,7,2,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,5,6,1,8,7,3]=>[5,7,4,3,8,1,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,7,5,8,6,4,3]=>[7,8,2,4,1,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,2,7,3,8,6,5]=>[5,8,7,2,6,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,1,7,5,2,3,8]=>[3,5,8,2,4,7,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,7,1,2,5,4,8,6]=>[6,2,8,7,4,5,1,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,7,8,1,6,5,4]=>[6,7,2,1,8,3,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,4,1,7,8,6,5,3]=>[7,5,8,2,1,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,7,5,1,8,6,2]=>[6,5,2,4,8,1,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,8,1,3,7,4,6]=>[4,7,1,8,6,2,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,7,4,5,1,8,2]=>[3,6,2,5,4,8,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,4,6,1,8,2]=>[4,2,6,5,3,8,1,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,2,4,1,6,7,3]=>[1,4,7,5,8,3,2,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,1,3,6,2,5,7]=>[1,5,8,6,3,7,4,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,8,3,1,7,2,5,6]=>[5,1,6,8,2,7,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,2,8,4,7,1,6,3]=>[4,7,1,5,2,8,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,4,7,3,1,6,2]=>[4,1,5,2,6,8,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,8,3,1,7,5,2]=>[5,3,1,6,8,2,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,8,2,7,1,5,4]=>[3,6,1,7,2,8,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,1,3,6,2,4,8]=>[2,4,8,6,3,7,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,5,3,1,7,4,2]=>[3,1,4,6,8,2,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,2,4,6,7,1,5]=>[6,1,7,5,3,2,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,8,2,7,1,4]=>[6,4,3,1,7,2,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,4,3,6,5,1,7,2]=>[1,5,6,3,4,8,2,7]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,8,5,4,1,3,6,2]=>[2,1,4,5,8,6,3,7]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,8,5,4,2,1,7,3]=>[3,1,4,5,7,8,2,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,1,8,4,7,5,6]=>[6,7,8,1,5,2,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,7,1,3,5,4,2]=>[3,1,2,8,6,4,5,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[7,6,8,1,4,3,5,2]=>[2,3,1,8,5,6,4,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[5,7,8,2,1,4,6,3]=>[4,2,1,7,8,5,3,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,3,7,1,6,5,2]=>[1,5,6,2,8,3,4,7]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,4,3,8,1,5,6,2]=>[2,5,6,1,8,4,3,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,8,2,1,7,5]=>[3,5,6,1,7,8,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,2,3,8,1,7,6]=>[5,4,7,6,1,8,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,4,8,1,7,6]=>[6,7,4,5,1,8,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,6,2,1,5,3,7,8]=>[5,3,7,8,4,6,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,6,1,5,4,7,8]=>[6,7,3,8,4,5,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,6,1,2,5,3,7,4]=>[1,3,8,7,4,6,2,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,7,3,4,1,2,6]=>[4,1,2,6,5,8,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,4,5,1,8,3,2]=>[3,2,5,4,8,1,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,4,7,6,8,1,2,3]=>[4,5,2,3,1,8,7,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[4,3,8,7,6,1,2,5]=>[5,6,1,2,3,8,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,6,7,1,8,3,2]=>[5,4,3,2,8,1,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,5,6,2,7,4,8,1]=>[6,4,3,7,2,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,5,6,1,7,8,4,2]=>[6,4,3,8,2,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,5,6,8,1,7,3,4]=>[7,4,3,1,8,2,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,3,2,5,4,6,7]=>[1,8,6,7,4,5,3,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[2,4,1,6,8,7,5,3]=>[7,5,8,3,1,2,4,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,3,1,7,6,8,5,2]=>[5,6,8,2,3,1,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,3,2,1,6,5,4,7]=>[1,6,7,8,3,4,5,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,4,2,6,1,5,3,7]=>[1,5,7,3,8,4,6,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,8,7,1,6,3,5]=>[5,7,1,2,8,3,6,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,7,2,6,4,8,1]=>[4,6,2,7,3,5,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,7,3,1,5,8,4,2]=>[3,2,6,8,4,1,5,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,2,1,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,2,8,1,5,3,4]=>[3,2,7,1,8,4,6,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,8,2,1,4,3,5]=>[3,2,1,7,8,5,6,4]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
[8,5,6,2,1,4,3,7]=>[1,4,3,7,8,5,6,2]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[5,8,7,1,2,3,4,6]=>[4,1,2,8,7,6,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,1,8,7,2,3,6,5]=>[5,8,1,2,7,6,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,8,1,7,2,3,5,6]=>[5,1,8,2,7,6,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,8,1,2,7,4,5,6]=>[6,1,8,7,2,5,4,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,8,2,7,4,6,5]=>[6,8,1,7,2,5,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,1,2,8,7,5,6,4]=>[6,8,7,1,2,4,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,3,4,7,6,5]=>[7,8,1,6,5,2,3,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,1,4,7,2,3,6]=>[4,1,8,5,2,7,6,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,1,4,8,7,3,2]=>[4,3,8,5,1,2,6,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,4,7,1,8,6,5,2]=>[6,5,2,8,1,3,4,7]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,7,1,6,8,2,4]=>[4,6,2,8,3,1,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,1,7,6,2,4,3]=>[4,1,8,2,3,7,5,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,7,5,2,8,1,4]=>[3,6,2,4,7,1,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,4,8,3,2,6]=>[4,2,8,5,1,6,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,7,1,6,2,4,5,3]=>[1,2,8,3,7,5,4,6]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
[8,3,6,1,2,5,7,4]=>[1,6,3,8,7,4,2,5]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,6,4,5,7,2,8,1]=>[6,3,5,4,2,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[8,5,2,6,4,7,3,1]=>[1,4,7,3,5,2,6,8]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
[6,2,7,4,3,5,8,1]=>[3,7,2,5,6,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,6,2,7,4,5,8,1]=>[6,3,7,2,5,4,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[4,2,5,7,3,6,8,1]=>[5,7,4,2,6,3,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,7,6,4,5,2,8,1]=>[6,2,3,5,4,7,1,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,8,6,2,5,7,4,1]=>[6,1,3,7,4,2,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,1,6,3,2,5,4]=>[2,1,8,3,6,7,4,5]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[2,8,1,7,3,5,6,4]=>[7,1,8,2,6,4,3,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,8,5,7,3,6,1]=>[5,7,1,4,2,6,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[6,7,3,1,8,4,2,5]=>[3,2,6,8,1,5,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,6,1,7,4,2,5,3]=>[1,3,8,2,5,7,4,6]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,1,2,8,3,5,4,6]=>[2,8,7,1,6,4,5,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,3,7,2,1,8,4,5]=>[3,6,2,7,8,1,5,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,2,1,5,8,3,6,7]=>[5,7,8,4,1,6,3,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,5,6,8,3,2,1]=>[5,2,4,3,1,6,7,8]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
[6,5,1,8,7,4,2,3]=>[3,4,8,1,2,5,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,8,2,6,4,1]=>[4,2,6,1,7,3,5,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[3,6,8,1,7,2,5,4]=>[6,3,1,8,2,7,4,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,3,8,7,4,5,6,1]=>[7,6,1,2,5,4,3,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[7,2,8,6,4,3,5,1]=>[2,7,1,3,5,6,4,8]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,1,8,6,5,2,3]=>[5,2,8,1,3,4,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,4,5,2,8,1,3]=>[3,2,5,4,7,1,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,4,6,3,8,1,2]=>[4,2,5,3,6,1,8,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,8,4,6,2,7,1,3]=>[4,1,5,3,7,2,8,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,4,5,2,6,1,3]=>[2,1,5,4,7,3,8,6]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[5,6,3,4,2,8,1,7]=>[4,3,6,5,7,1,8,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,6,2,4,1,7]=>[4,1,6,3,7,5,8,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,3,5,2,6,1,4]=>[2,1,6,4,7,3,8,5]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
[6,8,3,5,2,7,1,4]=>[3,1,6,4,7,2,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,6,2,7,1,4]=>[4,1,6,3,7,2,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,3,6,2,8,1,5]=>[5,2,6,3,7,1,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,6,2,8,1,4]=>[4,2,6,3,7,1,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,3,5,2,8,1,4]=>[3,2,6,4,7,1,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,3,8,2,5,1,4]=>[3,2,6,1,7,4,8,5]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,5,7,2,3,1,4]=>[3,1,4,2,7,6,8,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
[6,7,3,8,2,4,1,5]=>[3,2,6,1,7,5,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,3,8,2,4,1,6]=>[4,2,6,1,7,5,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,7,2,4,1,6]=>[4,1,6,2,7,5,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,5,3,7,2,8,1,6]=>[5,4,6,2,7,1,8,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,3,4,2,7,1,5]=>[3,1,6,5,7,2,8,4]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,8,3,4,2,6,1,7]=>[4,1,6,5,7,3,8,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,6,4,2,3,1,8,7]=>[4,3,5,7,6,8,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,4,6,1,3,2,8,7]=>[4,5,3,8,6,7,1,2]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,4,5,3,1,8,2,6]=>[2,5,4,6,8,1,7,3]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,4,8,1,7,5,2,3]=>[3,5,1,8,2,4,7,6]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)