Identifier
Mp00109: Permutations —descent word⟶ Binary words
Mp00178: Binary words —to composition⟶ Integer compositions
Images
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[1]=>=>[1] [1,2]=>0=>[2] [2,1]=>1=>[1,1] [1,2,3]=>00=>[3] [1,3,2]=>01=>[2,1] [2,1,3]=>10=>[1,2] [2,3,1]=>01=>[2,1] [3,1,2]=>10=>[1,2] [3,2,1]=>11=>[1,1,1] [1,2,3,4]=>000=>[4] [1,2,4,3]=>001=>[3,1] [1,3,2,4]=>010=>[2,2] [1,3,4,2]=>001=>[3,1] [1,4,2,3]=>010=>[2,2] [1,4,3,2]=>011=>[2,1,1] [2,1,3,4]=>100=>[1,3] [2,1,4,3]=>101=>[1,2,1] [2,3,1,4]=>010=>[2,2] [2,3,4,1]=>001=>[3,1] [2,4,1,3]=>010=>[2,2] [2,4,3,1]=>011=>[2,1,1] [3,1,2,4]=>100=>[1,3] [3,1,4,2]=>101=>[1,2,1] [3,2,1,4]=>110=>[1,1,2] [3,2,4,1]=>101=>[1,2,1] [3,4,1,2]=>010=>[2,2] [3,4,2,1]=>011=>[2,1,1] [4,1,2,3]=>100=>[1,3] [4,1,3,2]=>101=>[1,2,1] [4,2,1,3]=>110=>[1,1,2] [4,2,3,1]=>101=>[1,2,1] [4,3,1,2]=>110=>[1,1,2] [4,3,2,1]=>111=>[1,1,1,1] [1,2,3,4,5]=>0000=>[5] [1,2,3,5,4]=>0001=>[4,1] [1,2,4,3,5]=>0010=>[3,2] [1,2,4,5,3]=>0001=>[4,1] [1,2,5,3,4]=>0010=>[3,2] [1,2,5,4,3]=>0011=>[3,1,1] [1,3,2,4,5]=>0100=>[2,3] [1,3,2,5,4]=>0101=>[2,2,1] [1,3,4,2,5]=>0010=>[3,2] [1,3,4,5,2]=>0001=>[4,1] [1,3,5,2,4]=>0010=>[3,2] [1,3,5,4,2]=>0011=>[3,1,1] [1,4,2,3,5]=>0100=>[2,3] [1,4,2,5,3]=>0101=>[2,2,1] [1,4,3,2,5]=>0110=>[2,1,2] [1,4,3,5,2]=>0101=>[2,2,1] [1,4,5,2,3]=>0010=>[3,2] [1,4,5,3,2]=>0011=>[3,1,1] [1,5,2,3,4]=>0100=>[2,3] [1,5,2,4,3]=>0101=>[2,2,1] [1,5,3,2,4]=>0110=>[2,1,2] [1,5,3,4,2]=>0101=>[2,2,1] [1,5,4,2,3]=>0110=>[2,1,2] [1,5,4,3,2]=>0111=>[2,1,1,1] [2,1,3,4,5]=>1000=>[1,4] [2,1,3,5,4]=>1001=>[1,3,1] [2,1,4,3,5]=>1010=>[1,2,2] [2,1,4,5,3]=>1001=>[1,3,1] [2,1,5,3,4]=>1010=>[1,2,2] [2,1,5,4,3]=>1011=>[1,2,1,1] [2,3,1,4,5]=>0100=>[2,3] [2,3,1,5,4]=>0101=>[2,2,1] [2,3,4,1,5]=>0010=>[3,2] [2,3,4,5,1]=>0001=>[4,1] [2,3,5,1,4]=>0010=>[3,2] [2,3,5,4,1]=>0011=>[3,1,1] [2,4,1,3,5]=>0100=>[2,3] [2,4,1,5,3]=>0101=>[2,2,1] [2,4,3,1,5]=>0110=>[2,1,2] [2,4,3,5,1]=>0101=>[2,2,1] [2,4,5,1,3]=>0010=>[3,2] [2,4,5,3,1]=>0011=>[3,1,1] [2,5,1,3,4]=>0100=>[2,3] [2,5,1,4,3]=>0101=>[2,2,1] [2,5,3,1,4]=>0110=>[2,1,2] [2,5,3,4,1]=>0101=>[2,2,1] [2,5,4,1,3]=>0110=>[2,1,2] [2,5,4,3,1]=>0111=>[2,1,1,1] [3,1,2,4,5]=>1000=>[1,4] [3,1,2,5,4]=>1001=>[1,3,1] [3,1,4,2,5]=>1010=>[1,2,2] [3,1,4,5,2]=>1001=>[1,3,1] [3,1,5,2,4]=>1010=>[1,2,2] [3,1,5,4,2]=>1011=>[1,2,1,1] [3,2,1,4,5]=>1100=>[1,1,3] [3,2,1,5,4]=>1101=>[1,1,2,1] [3,2,4,1,5]=>1010=>[1,2,2] [3,2,4,5,1]=>1001=>[1,3,1] [3,2,5,1,4]=>1010=>[1,2,2] [3,2,5,4,1]=>1011=>[1,2,1,1] [3,4,1,2,5]=>0100=>[2,3] [3,4,1,5,2]=>0101=>[2,2,1] [3,4,2,1,5]=>0110=>[2,1,2] [3,4,2,5,1]=>0101=>[2,2,1] [3,4,5,1,2]=>0010=>[3,2] [3,4,5,2,1]=>0011=>[3,1,1] [3,5,1,2,4]=>0100=>[2,3] [3,5,1,4,2]=>0101=>[2,2,1] [3,5,2,1,4]=>0110=>[2,1,2] [3,5,2,4,1]=>0101=>[2,2,1] [3,5,4,1,2]=>0110=>[2,1,2] [3,5,4,2,1]=>0111=>[2,1,1,1] [4,1,2,3,5]=>1000=>[1,4] [4,1,2,5,3]=>1001=>[1,3,1] [4,1,3,2,5]=>1010=>[1,2,2] [4,1,3,5,2]=>1001=>[1,3,1] [4,1,5,2,3]=>1010=>[1,2,2] [4,1,5,3,2]=>1011=>[1,2,1,1] [4,2,1,3,5]=>1100=>[1,1,3] [4,2,1,5,3]=>1101=>[1,1,2,1] [4,2,3,1,5]=>1010=>[1,2,2] [4,2,3,5,1]=>1001=>[1,3,1] [4,2,5,1,3]=>1010=>[1,2,2] [4,2,5,3,1]=>1011=>[1,2,1,1] [4,3,1,2,5]=>1100=>[1,1,3] [4,3,1,5,2]=>1101=>[1,1,2,1] [4,3,2,1,5]=>1110=>[1,1,1,2] [4,3,2,5,1]=>1101=>[1,1,2,1] [4,3,5,1,2]=>1010=>[1,2,2] [4,3,5,2,1]=>1011=>[1,2,1,1] [4,5,1,2,3]=>0100=>[2,3] [4,5,1,3,2]=>0101=>[2,2,1] [4,5,2,1,3]=>0110=>[2,1,2] [4,5,2,3,1]=>0101=>[2,2,1] [4,5,3,1,2]=>0110=>[2,1,2] [4,5,3,2,1]=>0111=>[2,1,1,1] [5,1,2,3,4]=>1000=>[1,4] [5,1,2,4,3]=>1001=>[1,3,1] [5,1,3,2,4]=>1010=>[1,2,2] [5,1,3,4,2]=>1001=>[1,3,1] [5,1,4,2,3]=>1010=>[1,2,2] [5,1,4,3,2]=>1011=>[1,2,1,1] [5,2,1,3,4]=>1100=>[1,1,3] [5,2,1,4,3]=>1101=>[1,1,2,1] [5,2,3,1,4]=>1010=>[1,2,2] [5,2,3,4,1]=>1001=>[1,3,1] [5,2,4,1,3]=>1010=>[1,2,2] [5,2,4,3,1]=>1011=>[1,2,1,1] [5,3,1,2,4]=>1100=>[1,1,3] [5,3,1,4,2]=>1101=>[1,1,2,1] [5,3,2,1,4]=>1110=>[1,1,1,2] [5,3,2,4,1]=>1101=>[1,1,2,1] [5,3,4,1,2]=>1010=>[1,2,2] [5,3,4,2,1]=>1011=>[1,2,1,1] [5,4,1,2,3]=>1100=>[1,1,3] [5,4,1,3,2]=>1101=>[1,1,2,1] [5,4,2,1,3]=>1110=>[1,1,1,2] [5,4,2,3,1]=>1101=>[1,1,2,1] [5,4,3,1,2]=>1110=>[1,1,1,2] [5,4,3,2,1]=>1111=>[1,1,1,1,1] [1,2,3,4,5,6]=>00000=>[6] [1,2,3,4,6,5]=>00001=>[5,1] [1,2,3,5,4,6]=>00010=>[4,2] [1,2,3,5,6,4]=>00001=>[5,1] [1,2,3,6,4,5]=>00010=>[4,2] [1,2,3,6,5,4]=>00011=>[4,1,1] [1,2,4,3,5,6]=>00100=>[3,3] [1,2,4,3,6,5]=>00101=>[3,2,1] [1,2,4,5,3,6]=>00010=>[4,2] [1,2,4,5,6,3]=>00001=>[5,1] [1,2,4,6,3,5]=>00010=>[4,2] [1,2,4,6,5,3]=>00011=>[4,1,1] [1,2,5,3,4,6]=>00100=>[3,3] [1,2,5,3,6,4]=>00101=>[3,2,1] [1,2,5,4,3,6]=>00110=>[3,1,2] [1,2,5,4,6,3]=>00101=>[3,2,1] [1,2,5,6,3,4]=>00010=>[4,2] [1,2,5,6,4,3]=>00011=>[4,1,1] [1,2,6,3,4,5]=>00100=>[3,3] [1,2,6,3,5,4]=>00101=>[3,2,1] [1,2,6,4,3,5]=>00110=>[3,1,2] [1,2,6,4,5,3]=>00101=>[3,2,1] [1,2,6,5,3,4]=>00110=>[3,1,2] [1,2,6,5,4,3]=>00111=>[3,1,1,1] [1,3,2,4,5,6]=>01000=>[2,4] [1,3,2,4,6,5]=>01001=>[2,3,1] [1,3,2,5,4,6]=>01010=>[2,2,2] [1,3,2,5,6,4]=>01001=>[2,3,1] [1,3,2,6,4,5]=>01010=>[2,2,2] [1,3,2,6,5,4]=>01011=>[2,2,1,1] [1,3,4,2,5,6]=>00100=>[3,3] [1,3,4,2,6,5]=>00101=>[3,2,1] [1,3,4,5,2,6]=>00010=>[4,2] [1,3,4,5,6,2]=>00001=>[5,1] [1,3,4,6,2,5]=>00010=>[4,2] [1,3,4,6,5,2]=>00011=>[4,1,1] [1,3,5,2,4,6]=>00100=>[3,3] [1,3,5,2,6,4]=>00101=>[3,2,1] [1,3,5,4,2,6]=>00110=>[3,1,2] [1,3,5,4,6,2]=>00101=>[3,2,1] [1,3,5,6,2,4]=>00010=>[4,2] [1,3,5,6,4,2]=>00011=>[4,1,1] [1,3,6,2,4,5]=>00100=>[3,3] [1,3,6,2,5,4]=>00101=>[3,2,1] [1,3,6,4,2,5]=>00110=>[3,1,2] [1,3,6,4,5,2]=>00101=>[3,2,1] [1,3,6,5,2,4]=>00110=>[3,1,2] [1,3,6,5,4,2]=>00111=>[3,1,1,1] [1,4,2,3,5,6]=>01000=>[2,4] [1,4,2,3,6,5]=>01001=>[2,3,1] [1,4,2,5,3,6]=>01010=>[2,2,2] [1,4,2,5,6,3]=>01001=>[2,3,1] [1,4,2,6,3,5]=>01010=>[2,2,2] [1,4,2,6,5,3]=>01011=>[2,2,1,1] [1,4,3,2,5,6]=>01100=>[2,1,3] [1,4,3,2,6,5]=>01101=>[2,1,2,1] [1,4,3,5,2,6]=>01010=>[2,2,2] [1,4,3,5,6,2]=>01001=>[2,3,1] [1,4,3,6,2,5]=>01010=>[2,2,2] [1,4,3,6,5,2]=>01011=>[2,2,1,1] [1,4,5,2,3,6]=>00100=>[3,3] [1,4,5,2,6,3]=>00101=>[3,2,1] [1,4,5,3,2,6]=>00110=>[3,1,2] [1,4,5,3,6,2]=>00101=>[3,2,1] [1,4,5,6,2,3]=>00010=>[4,2] [1,4,5,6,3,2]=>00011=>[4,1,1] [1,4,6,2,3,5]=>00100=>[3,3] [1,4,6,2,5,3]=>00101=>[3,2,1] [1,4,6,3,2,5]=>00110=>[3,1,2] [1,4,6,3,5,2]=>00101=>[3,2,1] [1,4,6,5,2,3]=>00110=>[3,1,2] [1,4,6,5,3,2]=>00111=>[3,1,1,1] [1,5,2,3,4,6]=>01000=>[2,4] [1,5,2,3,6,4]=>01001=>[2,3,1] [1,5,2,4,3,6]=>01010=>[2,2,2] [1,5,2,4,6,3]=>01001=>[2,3,1] [1,5,2,6,3,4]=>01010=>[2,2,2] [1,5,2,6,4,3]=>01011=>[2,2,1,1] [1,5,3,2,4,6]=>01100=>[2,1,3] [1,5,3,2,6,4]=>01101=>[2,1,2,1] [1,5,3,4,2,6]=>01010=>[2,2,2] [1,5,3,4,6,2]=>01001=>[2,3,1] [1,5,3,6,2,4]=>01010=>[2,2,2] [1,5,3,6,4,2]=>01011=>[2,2,1,1] [1,5,4,2,3,6]=>01100=>[2,1,3] [1,5,4,2,6,3]=>01101=>[2,1,2,1] [1,5,4,3,2,6]=>01110=>[2,1,1,2] [1,5,4,3,6,2]=>01101=>[2,1,2,1] [1,5,4,6,2,3]=>01010=>[2,2,2] [1,5,4,6,3,2]=>01011=>[2,2,1,1] [1,5,6,2,3,4]=>00100=>[3,3] [1,5,6,2,4,3]=>00101=>[3,2,1] [1,5,6,3,2,4]=>00110=>[3,1,2] [1,5,6,3,4,2]=>00101=>[3,2,1] [1,5,6,4,2,3]=>00110=>[3,1,2] [1,5,6,4,3,2]=>00111=>[3,1,1,1] [1,6,2,3,4,5]=>01000=>[2,4] [1,6,2,3,5,4]=>01001=>[2,3,1] [1,6,2,4,3,5]=>01010=>[2,2,2] [1,6,2,4,5,3]=>01001=>[2,3,1] [1,6,2,5,3,4]=>01010=>[2,2,2] [1,6,2,5,4,3]=>01011=>[2,2,1,1] [1,6,3,2,4,5]=>01100=>[2,1,3] [1,6,3,2,5,4]=>01101=>[2,1,2,1] [1,6,3,4,2,5]=>01010=>[2,2,2] [1,6,3,4,5,2]=>01001=>[2,3,1] [1,6,3,5,2,4]=>01010=>[2,2,2] [1,6,3,5,4,2]=>01011=>[2,2,1,1] [1,6,4,2,3,5]=>01100=>[2,1,3] [1,6,4,2,5,3]=>01101=>[2,1,2,1] [1,6,4,3,2,5]=>01110=>[2,1,1,2] [1,6,4,3,5,2]=>01101=>[2,1,2,1] [1,6,4,5,2,3]=>01010=>[2,2,2] [1,6,4,5,3,2]=>01011=>[2,2,1,1] [1,6,5,2,3,4]=>01100=>[2,1,3] [1,6,5,2,4,3]=>01101=>[2,1,2,1] [1,6,5,3,2,4]=>01110=>[2,1,1,2] [1,6,5,3,4,2]=>01101=>[2,1,2,1] [1,6,5,4,2,3]=>01110=>[2,1,1,2] [1,6,5,4,3,2]=>01111=>[2,1,1,1,1] [2,1,3,4,5,6]=>10000=>[1,5] [2,1,3,4,6,5]=>10001=>[1,4,1] [2,1,3,5,4,6]=>10010=>[1,3,2] [2,1,3,5,6,4]=>10001=>[1,4,1] [2,1,3,6,4,5]=>10010=>[1,3,2] [2,1,3,6,5,4]=>10011=>[1,3,1,1] [2,1,4,3,5,6]=>10100=>[1,2,3] [2,1,4,3,6,5]=>10101=>[1,2,2,1] [2,1,4,5,3,6]=>10010=>[1,3,2] [2,1,4,5,6,3]=>10001=>[1,4,1] [2,1,4,6,3,5]=>10010=>[1,3,2] [2,1,4,6,5,3]=>10011=>[1,3,1,1] [2,1,5,3,4,6]=>10100=>[1,2,3] [2,1,5,3,6,4]=>10101=>[1,2,2,1] [2,1,5,4,3,6]=>10110=>[1,2,1,2] [2,1,5,4,6,3]=>10101=>[1,2,2,1] [2,1,5,6,3,4]=>10010=>[1,3,2] [2,1,5,6,4,3]=>10011=>[1,3,1,1] [2,1,6,3,4,5]=>10100=>[1,2,3] [2,1,6,3,5,4]=>10101=>[1,2,2,1] [2,1,6,4,3,5]=>10110=>[1,2,1,2] [2,1,6,4,5,3]=>10101=>[1,2,2,1] [2,1,6,5,3,4]=>10110=>[1,2,1,2] [2,1,6,5,4,3]=>10111=>[1,2,1,1,1] [2,3,1,4,5,6]=>01000=>[2,4] [2,3,1,4,6,5]=>01001=>[2,3,1] [2,3,1,5,4,6]=>01010=>[2,2,2] [2,3,1,5,6,4]=>01001=>[2,3,1] [2,3,1,6,4,5]=>01010=>[2,2,2] [2,3,1,6,5,4]=>01011=>[2,2,1,1] [2,3,4,1,5,6]=>00100=>[3,3] [2,3,4,1,6,5]=>00101=>[3,2,1] [2,3,4,5,1,6]=>00010=>[4,2] [2,3,4,5,6,1]=>00001=>[5,1] [2,3,4,6,1,5]=>00010=>[4,2] [2,3,4,6,5,1]=>00011=>[4,1,1] [2,3,5,1,4,6]=>00100=>[3,3] [2,3,5,1,6,4]=>00101=>[3,2,1] [2,3,5,4,1,6]=>00110=>[3,1,2] [2,3,5,4,6,1]=>00101=>[3,2,1] [2,3,5,6,1,4]=>00010=>[4,2] [2,3,5,6,4,1]=>00011=>[4,1,1] [2,3,6,1,4,5]=>00100=>[3,3] [2,3,6,1,5,4]=>00101=>[3,2,1] [2,3,6,4,1,5]=>00110=>[3,1,2] [2,3,6,4,5,1]=>00101=>[3,2,1] [2,3,6,5,1,4]=>00110=>[3,1,2] [2,3,6,5,4,1]=>00111=>[3,1,1,1] [2,4,1,3,5,6]=>01000=>[2,4] [2,4,1,3,6,5]=>01001=>[2,3,1] [2,4,1,5,3,6]=>01010=>[2,2,2] [2,4,1,5,6,3]=>01001=>[2,3,1] [2,4,1,6,3,5]=>01010=>[2,2,2] [2,4,1,6,5,3]=>01011=>[2,2,1,1] [2,4,3,1,5,6]=>01100=>[2,1,3] [2,4,3,1,6,5]=>01101=>[2,1,2,1] [2,4,3,5,1,6]=>01010=>[2,2,2] [2,4,3,5,6,1]=>01001=>[2,3,1] [2,4,3,6,1,5]=>01010=>[2,2,2] [2,4,3,6,5,1]=>01011=>[2,2,1,1] [2,4,5,1,3,6]=>00100=>[3,3] [2,4,5,1,6,3]=>00101=>[3,2,1] [2,4,5,3,1,6]=>00110=>[3,1,2] [2,4,5,3,6,1]=>00101=>[3,2,1] [2,4,5,6,1,3]=>00010=>[4,2] [2,4,5,6,3,1]=>00011=>[4,1,1] [2,4,6,1,3,5]=>00100=>[3,3] [2,4,6,1,5,3]=>00101=>[3,2,1] [2,4,6,3,1,5]=>00110=>[3,1,2] [2,4,6,3,5,1]=>00101=>[3,2,1] [2,4,6,5,1,3]=>00110=>[3,1,2] [2,4,6,5,3,1]=>00111=>[3,1,1,1] [2,5,1,3,4,6]=>01000=>[2,4] [2,5,1,3,6,4]=>01001=>[2,3,1] [2,5,1,4,3,6]=>01010=>[2,2,2] [2,5,1,4,6,3]=>01001=>[2,3,1] [2,5,1,6,3,4]=>01010=>[2,2,2] [2,5,1,6,4,3]=>01011=>[2,2,1,1] [2,5,3,1,4,6]=>01100=>[2,1,3] [2,5,3,1,6,4]=>01101=>[2,1,2,1] [2,5,3,4,1,6]=>01010=>[2,2,2] [2,5,3,4,6,1]=>01001=>[2,3,1] [2,5,3,6,1,4]=>01010=>[2,2,2] [2,5,3,6,4,1]=>01011=>[2,2,1,1] [2,5,4,1,3,6]=>01100=>[2,1,3] [2,5,4,1,6,3]=>01101=>[2,1,2,1] [2,5,4,3,1,6]=>01110=>[2,1,1,2] [2,5,4,3,6,1]=>01101=>[2,1,2,1] [2,5,4,6,1,3]=>01010=>[2,2,2] [2,5,4,6,3,1]=>01011=>[2,2,1,1] [2,5,6,1,3,4]=>00100=>[3,3] [2,5,6,1,4,3]=>00101=>[3,2,1] [2,5,6,3,1,4]=>00110=>[3,1,2] [2,5,6,3,4,1]=>00101=>[3,2,1] [2,5,6,4,1,3]=>00110=>[3,1,2] [2,5,6,4,3,1]=>00111=>[3,1,1,1] [2,6,1,3,4,5]=>01000=>[2,4] [2,6,1,3,5,4]=>01001=>[2,3,1] [2,6,1,4,3,5]=>01010=>[2,2,2] [2,6,1,4,5,3]=>01001=>[2,3,1] [2,6,1,5,3,4]=>01010=>[2,2,2] [2,6,1,5,4,3]=>01011=>[2,2,1,1] [2,6,3,1,4,5]=>01100=>[2,1,3] [2,6,3,1,5,4]=>01101=>[2,1,2,1] [2,6,3,4,1,5]=>01010=>[2,2,2] [2,6,3,4,5,1]=>01001=>[2,3,1] [2,6,3,5,1,4]=>01010=>[2,2,2] [2,6,3,5,4,1]=>01011=>[2,2,1,1] [2,6,4,1,3,5]=>01100=>[2,1,3] [2,6,4,1,5,3]=>01101=>[2,1,2,1] [2,6,4,3,1,5]=>01110=>[2,1,1,2] [2,6,4,3,5,1]=>01101=>[2,1,2,1] [2,6,4,5,1,3]=>01010=>[2,2,2] [2,6,4,5,3,1]=>01011=>[2,2,1,1] [2,6,5,1,3,4]=>01100=>[2,1,3] [2,6,5,1,4,3]=>01101=>[2,1,2,1] [2,6,5,3,1,4]=>01110=>[2,1,1,2] [2,6,5,3,4,1]=>01101=>[2,1,2,1] [2,6,5,4,1,3]=>01110=>[2,1,1,2] [2,6,5,4,3,1]=>01111=>[2,1,1,1,1] [3,1,2,4,5,6]=>10000=>[1,5] [3,1,2,4,6,5]=>10001=>[1,4,1] [3,1,2,5,4,6]=>10010=>[1,3,2] [3,1,2,5,6,4]=>10001=>[1,4,1] [3,1,2,6,4,5]=>10010=>[1,3,2] [3,1,2,6,5,4]=>10011=>[1,3,1,1] [3,1,4,2,5,6]=>10100=>[1,2,3] [3,1,4,2,6,5]=>10101=>[1,2,2,1] [3,1,4,5,2,6]=>10010=>[1,3,2] [3,1,4,5,6,2]=>10001=>[1,4,1] [3,1,4,6,2,5]=>10010=>[1,3,2] [3,1,4,6,5,2]=>10011=>[1,3,1,1] [3,1,5,2,4,6]=>10100=>[1,2,3] [3,1,5,2,6,4]=>10101=>[1,2,2,1] [3,1,5,4,2,6]=>10110=>[1,2,1,2] [3,1,5,4,6,2]=>10101=>[1,2,2,1] [3,1,5,6,2,4]=>10010=>[1,3,2] [3,1,5,6,4,2]=>10011=>[1,3,1,1] [3,1,6,2,4,5]=>10100=>[1,2,3] [3,1,6,2,5,4]=>10101=>[1,2,2,1] [3,1,6,4,2,5]=>10110=>[1,2,1,2] [3,1,6,4,5,2]=>10101=>[1,2,2,1] [3,1,6,5,2,4]=>10110=>[1,2,1,2] [3,1,6,5,4,2]=>10111=>[1,2,1,1,1] [3,2,1,4,5,6]=>11000=>[1,1,4] [3,2,1,4,6,5]=>11001=>[1,1,3,1] [3,2,1,5,4,6]=>11010=>[1,1,2,2] [3,2,1,5,6,4]=>11001=>[1,1,3,1] [3,2,1,6,4,5]=>11010=>[1,1,2,2] [3,2,1,6,5,4]=>11011=>[1,1,2,1,1] [3,2,4,1,5,6]=>10100=>[1,2,3] [3,2,4,1,6,5]=>10101=>[1,2,2,1] [3,2,4,5,1,6]=>10010=>[1,3,2] [3,2,4,5,6,1]=>10001=>[1,4,1] [3,2,4,6,1,5]=>10010=>[1,3,2] [3,2,4,6,5,1]=>10011=>[1,3,1,1] [3,2,5,1,4,6]=>10100=>[1,2,3] [3,2,5,1,6,4]=>10101=>[1,2,2,1] [3,2,5,4,1,6]=>10110=>[1,2,1,2] [3,2,5,4,6,1]=>10101=>[1,2,2,1] [3,2,5,6,1,4]=>10010=>[1,3,2] [3,2,5,6,4,1]=>10011=>[1,3,1,1] [3,2,6,1,4,5]=>10100=>[1,2,3] [3,2,6,1,5,4]=>10101=>[1,2,2,1] [3,2,6,4,1,5]=>10110=>[1,2,1,2] [3,2,6,4,5,1]=>10101=>[1,2,2,1] [3,2,6,5,1,4]=>10110=>[1,2,1,2] [3,2,6,5,4,1]=>10111=>[1,2,1,1,1] [3,4,1,2,5,6]=>01000=>[2,4] [3,4,1,2,6,5]=>01001=>[2,3,1] [3,4,1,5,2,6]=>01010=>[2,2,2] [3,4,1,5,6,2]=>01001=>[2,3,1] [3,4,1,6,2,5]=>01010=>[2,2,2] [3,4,1,6,5,2]=>01011=>[2,2,1,1] [3,4,2,1,5,6]=>01100=>[2,1,3] [3,4,2,1,6,5]=>01101=>[2,1,2,1] [3,4,2,5,1,6]=>01010=>[2,2,2] [3,4,2,5,6,1]=>01001=>[2,3,1] [3,4,2,6,1,5]=>01010=>[2,2,2] [3,4,2,6,5,1]=>01011=>[2,2,1,1] [3,4,5,1,2,6]=>00100=>[3,3] [3,4,5,1,6,2]=>00101=>[3,2,1] [3,4,5,2,1,6]=>00110=>[3,1,2] [3,4,5,2,6,1]=>00101=>[3,2,1] [3,4,5,6,1,2]=>00010=>[4,2] [3,4,5,6,2,1]=>00011=>[4,1,1] [3,4,6,1,2,5]=>00100=>[3,3] [3,4,6,1,5,2]=>00101=>[3,2,1] [3,4,6,2,1,5]=>00110=>[3,1,2] [3,4,6,2,5,1]=>00101=>[3,2,1] [3,4,6,5,1,2]=>00110=>[3,1,2] [3,4,6,5,2,1]=>00111=>[3,1,1,1] [3,5,1,2,4,6]=>01000=>[2,4] [3,5,1,2,6,4]=>01001=>[2,3,1] [3,5,1,4,2,6]=>01010=>[2,2,2] [3,5,1,4,6,2]=>01001=>[2,3,1] [3,5,1,6,2,4]=>01010=>[2,2,2] [3,5,1,6,4,2]=>01011=>[2,2,1,1] [3,5,2,1,4,6]=>01100=>[2,1,3] [3,5,2,1,6,4]=>01101=>[2,1,2,1] [3,5,2,4,1,6]=>01010=>[2,2,2] [3,5,2,4,6,1]=>01001=>[2,3,1] [3,5,2,6,1,4]=>01010=>[2,2,2] [3,5,2,6,4,1]=>01011=>[2,2,1,1] [3,5,4,1,2,6]=>01100=>[2,1,3] [3,5,4,1,6,2]=>01101=>[2,1,2,1] [3,5,4,2,1,6]=>01110=>[2,1,1,2] [3,5,4,2,6,1]=>01101=>[2,1,2,1] [3,5,4,6,1,2]=>01010=>[2,2,2] [3,5,4,6,2,1]=>01011=>[2,2,1,1] [3,5,6,1,2,4]=>00100=>[3,3] [3,5,6,1,4,2]=>00101=>[3,2,1] [3,5,6,2,1,4]=>00110=>[3,1,2] [3,5,6,2,4,1]=>00101=>[3,2,1] [3,5,6,4,1,2]=>00110=>[3,1,2] [3,5,6,4,2,1]=>00111=>[3,1,1,1] [3,6,1,2,4,5]=>01000=>[2,4] [3,6,1,2,5,4]=>01001=>[2,3,1] [3,6,1,4,2,5]=>01010=>[2,2,2] [3,6,1,4,5,2]=>01001=>[2,3,1] [3,6,1,5,2,4]=>01010=>[2,2,2] [3,6,1,5,4,2]=>01011=>[2,2,1,1] [3,6,2,1,4,5]=>01100=>[2,1,3] [3,6,2,1,5,4]=>01101=>[2,1,2,1] [3,6,2,4,1,5]=>01010=>[2,2,2] [3,6,2,4,5,1]=>01001=>[2,3,1] [3,6,2,5,1,4]=>01010=>[2,2,2] [3,6,2,5,4,1]=>01011=>[2,2,1,1] [3,6,4,1,2,5]=>01100=>[2,1,3] [3,6,4,1,5,2]=>01101=>[2,1,2,1] [3,6,4,2,1,5]=>01110=>[2,1,1,2] [3,6,4,2,5,1]=>01101=>[2,1,2,1] [3,6,4,5,1,2]=>01010=>[2,2,2] [3,6,4,5,2,1]=>01011=>[2,2,1,1] [3,6,5,1,2,4]=>01100=>[2,1,3] [3,6,5,1,4,2]=>01101=>[2,1,2,1] [3,6,5,2,1,4]=>01110=>[2,1,1,2] [3,6,5,2,4,1]=>01101=>[2,1,2,1] [3,6,5,4,1,2]=>01110=>[2,1,1,2] [3,6,5,4,2,1]=>01111=>[2,1,1,1,1] [4,1,2,3,5,6]=>10000=>[1,5] [4,1,2,3,6,5]=>10001=>[1,4,1] [4,1,2,5,3,6]=>10010=>[1,3,2] [4,1,2,5,6,3]=>10001=>[1,4,1] [4,1,2,6,3,5]=>10010=>[1,3,2] [4,1,2,6,5,3]=>10011=>[1,3,1,1] [4,1,3,2,5,6]=>10100=>[1,2,3] [4,1,3,2,6,5]=>10101=>[1,2,2,1] [4,1,3,5,2,6]=>10010=>[1,3,2] [4,1,3,5,6,2]=>10001=>[1,4,1] [4,1,3,6,2,5]=>10010=>[1,3,2] [4,1,3,6,5,2]=>10011=>[1,3,1,1] [4,1,5,2,3,6]=>10100=>[1,2,3] [4,1,5,2,6,3]=>10101=>[1,2,2,1] [4,1,5,3,2,6]=>10110=>[1,2,1,2] [4,1,5,3,6,2]=>10101=>[1,2,2,1] [4,1,5,6,2,3]=>10010=>[1,3,2] [4,1,5,6,3,2]=>10011=>[1,3,1,1] [4,1,6,2,3,5]=>10100=>[1,2,3] [4,1,6,2,5,3]=>10101=>[1,2,2,1] [4,1,6,3,2,5]=>10110=>[1,2,1,2] [4,1,6,3,5,2]=>10101=>[1,2,2,1] [4,1,6,5,2,3]=>10110=>[1,2,1,2] [4,1,6,5,3,2]=>10111=>[1,2,1,1,1] [4,2,1,3,5,6]=>11000=>[1,1,4] [4,2,1,3,6,5]=>11001=>[1,1,3,1] [4,2,1,5,3,6]=>11010=>[1,1,2,2] [4,2,1,5,6,3]=>11001=>[1,1,3,1] [4,2,1,6,3,5]=>11010=>[1,1,2,2] [4,2,1,6,5,3]=>11011=>[1,1,2,1,1] [4,2,3,1,5,6]=>10100=>[1,2,3] [4,2,3,1,6,5]=>10101=>[1,2,2,1] [4,2,3,5,1,6]=>10010=>[1,3,2] [4,2,3,5,6,1]=>10001=>[1,4,1] [4,2,3,6,1,5]=>10010=>[1,3,2] [4,2,3,6,5,1]=>10011=>[1,3,1,1] [4,2,5,1,3,6]=>10100=>[1,2,3] [4,2,5,1,6,3]=>10101=>[1,2,2,1] [4,2,5,3,1,6]=>10110=>[1,2,1,2] [4,2,5,3,6,1]=>10101=>[1,2,2,1] [4,2,5,6,1,3]=>10010=>[1,3,2] [4,2,5,6,3,1]=>10011=>[1,3,1,1] [4,2,6,1,3,5]=>10100=>[1,2,3] [4,2,6,1,5,3]=>10101=>[1,2,2,1] [4,2,6,3,1,5]=>10110=>[1,2,1,2] [4,2,6,3,5,1]=>10101=>[1,2,2,1] [4,2,6,5,1,3]=>10110=>[1,2,1,2] [4,2,6,5,3,1]=>10111=>[1,2,1,1,1] [4,3,1,2,5,6]=>11000=>[1,1,4] [4,3,1,2,6,5]=>11001=>[1,1,3,1] [4,3,1,5,2,6]=>11010=>[1,1,2,2] [4,3,1,5,6,2]=>11001=>[1,1,3,1] [4,3,1,6,2,5]=>11010=>[1,1,2,2] [4,3,1,6,5,2]=>11011=>[1,1,2,1,1] [4,3,2,1,5,6]=>11100=>[1,1,1,3] [4,3,2,1,6,5]=>11101=>[1,1,1,2,1] [4,3,2,5,1,6]=>11010=>[1,1,2,2] [4,3,2,5,6,1]=>11001=>[1,1,3,1] [4,3,2,6,1,5]=>11010=>[1,1,2,2] [4,3,2,6,5,1]=>11011=>[1,1,2,1,1] [4,3,5,1,2,6]=>10100=>[1,2,3] [4,3,5,1,6,2]=>10101=>[1,2,2,1] [4,3,5,2,1,6]=>10110=>[1,2,1,2] [4,3,5,2,6,1]=>10101=>[1,2,2,1] [4,3,5,6,1,2]=>10010=>[1,3,2] [4,3,5,6,2,1]=>10011=>[1,3,1,1] [4,3,6,1,2,5]=>10100=>[1,2,3] [4,3,6,1,5,2]=>10101=>[1,2,2,1] [4,3,6,2,1,5]=>10110=>[1,2,1,2] [4,3,6,2,5,1]=>10101=>[1,2,2,1] [4,3,6,5,1,2]=>10110=>[1,2,1,2] [4,3,6,5,2,1]=>10111=>[1,2,1,1,1] [4,5,1,2,3,6]=>01000=>[2,4] [4,5,1,2,6,3]=>01001=>[2,3,1] [4,5,1,3,2,6]=>01010=>[2,2,2] [4,5,1,3,6,2]=>01001=>[2,3,1] [4,5,1,6,2,3]=>01010=>[2,2,2] [4,5,1,6,3,2]=>01011=>[2,2,1,1] [4,5,2,1,3,6]=>01100=>[2,1,3] [4,5,2,1,6,3]=>01101=>[2,1,2,1] [4,5,2,3,1,6]=>01010=>[2,2,2] [4,5,2,3,6,1]=>01001=>[2,3,1] [4,5,2,6,1,3]=>01010=>[2,2,2] [4,5,2,6,3,1]=>01011=>[2,2,1,1] [4,5,3,1,2,6]=>01100=>[2,1,3] [4,5,3,1,6,2]=>01101=>[2,1,2,1] [4,5,3,2,1,6]=>01110=>[2,1,1,2] [4,5,3,2,6,1]=>01101=>[2,1,2,1] [4,5,3,6,1,2]=>01010=>[2,2,2] [4,5,3,6,2,1]=>01011=>[2,2,1,1] [4,5,6,1,2,3]=>00100=>[3,3] [4,5,6,1,3,2]=>00101=>[3,2,1] [4,5,6,2,1,3]=>00110=>[3,1,2] [4,5,6,2,3,1]=>00101=>[3,2,1] [4,5,6,3,1,2]=>00110=>[3,1,2] [4,5,6,3,2,1]=>00111=>[3,1,1,1] [4,6,1,2,3,5]=>01000=>[2,4] [4,6,1,2,5,3]=>01001=>[2,3,1] [4,6,1,3,2,5]=>01010=>[2,2,2] [4,6,1,3,5,2]=>01001=>[2,3,1] [4,6,1,5,2,3]=>01010=>[2,2,2] [4,6,1,5,3,2]=>01011=>[2,2,1,1] [4,6,2,1,3,5]=>01100=>[2,1,3] [4,6,2,1,5,3]=>01101=>[2,1,2,1] [4,6,2,3,1,5]=>01010=>[2,2,2] [4,6,2,3,5,1]=>01001=>[2,3,1] [4,6,2,5,1,3]=>01010=>[2,2,2] [4,6,2,5,3,1]=>01011=>[2,2,1,1] [4,6,3,1,2,5]=>01100=>[2,1,3] [4,6,3,1,5,2]=>01101=>[2,1,2,1] [4,6,3,2,1,5]=>01110=>[2,1,1,2] [4,6,3,2,5,1]=>01101=>[2,1,2,1] [4,6,3,5,1,2]=>01010=>[2,2,2] [4,6,3,5,2,1]=>01011=>[2,2,1,1] [4,6,5,1,2,3]=>01100=>[2,1,3] [4,6,5,1,3,2]=>01101=>[2,1,2,1] [4,6,5,2,1,3]=>01110=>[2,1,1,2] [4,6,5,2,3,1]=>01101=>[2,1,2,1] [4,6,5,3,1,2]=>01110=>[2,1,1,2] [4,6,5,3,2,1]=>01111=>[2,1,1,1,1] [5,1,2,3,4,6]=>10000=>[1,5] [5,1,2,3,6,4]=>10001=>[1,4,1] [5,1,2,4,3,6]=>10010=>[1,3,2] [5,1,2,4,6,3]=>10001=>[1,4,1] [5,1,2,6,3,4]=>10010=>[1,3,2] [5,1,2,6,4,3]=>10011=>[1,3,1,1] [5,1,3,2,4,6]=>10100=>[1,2,3] [5,1,3,2,6,4]=>10101=>[1,2,2,1] [5,1,3,4,2,6]=>10010=>[1,3,2] [5,1,3,4,6,2]=>10001=>[1,4,1] [5,1,3,6,2,4]=>10010=>[1,3,2] [5,1,3,6,4,2]=>10011=>[1,3,1,1] [5,1,4,2,3,6]=>10100=>[1,2,3] [5,1,4,2,6,3]=>10101=>[1,2,2,1] [5,1,4,3,2,6]=>10110=>[1,2,1,2] [5,1,4,3,6,2]=>10101=>[1,2,2,1] [5,1,4,6,2,3]=>10010=>[1,3,2] [5,1,4,6,3,2]=>10011=>[1,3,1,1] [5,1,6,2,3,4]=>10100=>[1,2,3] [5,1,6,2,4,3]=>10101=>[1,2,2,1] [5,1,6,3,2,4]=>10110=>[1,2,1,2] [5,1,6,3,4,2]=>10101=>[1,2,2,1] [5,1,6,4,2,3]=>10110=>[1,2,1,2] [5,1,6,4,3,2]=>10111=>[1,2,1,1,1] [5,2,1,3,4,6]=>11000=>[1,1,4] [5,2,1,3,6,4]=>11001=>[1,1,3,1] [5,2,1,4,3,6]=>11010=>[1,1,2,2] [5,2,1,4,6,3]=>11001=>[1,1,3,1] [5,2,1,6,3,4]=>11010=>[1,1,2,2] [5,2,1,6,4,3]=>11011=>[1,1,2,1,1] [5,2,3,1,4,6]=>10100=>[1,2,3] [5,2,3,1,6,4]=>10101=>[1,2,2,1] [5,2,3,4,1,6]=>10010=>[1,3,2] [5,2,3,4,6,1]=>10001=>[1,4,1] [5,2,3,6,1,4]=>10010=>[1,3,2] [5,2,3,6,4,1]=>10011=>[1,3,1,1] [5,2,4,1,3,6]=>10100=>[1,2,3] [5,2,4,1,6,3]=>10101=>[1,2,2,1] [5,2,4,3,1,6]=>10110=>[1,2,1,2] [5,2,4,3,6,1]=>10101=>[1,2,2,1] [5,2,4,6,1,3]=>10010=>[1,3,2] [5,2,4,6,3,1]=>10011=>[1,3,1,1] [5,2,6,1,3,4]=>10100=>[1,2,3] [5,2,6,1,4,3]=>10101=>[1,2,2,1] [5,2,6,3,1,4]=>10110=>[1,2,1,2] [5,2,6,3,4,1]=>10101=>[1,2,2,1] [5,2,6,4,1,3]=>10110=>[1,2,1,2] [5,2,6,4,3,1]=>10111=>[1,2,1,1,1] [5,3,1,2,4,6]=>11000=>[1,1,4] [5,3,1,2,6,4]=>11001=>[1,1,3,1] [5,3,1,4,2,6]=>11010=>[1,1,2,2] [5,3,1,4,6,2]=>11001=>[1,1,3,1] [5,3,1,6,2,4]=>11010=>[1,1,2,2] [5,3,1,6,4,2]=>11011=>[1,1,2,1,1] [5,3,2,1,4,6]=>11100=>[1,1,1,3] [5,3,2,1,6,4]=>11101=>[1,1,1,2,1] [5,3,2,4,1,6]=>11010=>[1,1,2,2] [5,3,2,4,6,1]=>11001=>[1,1,3,1] [5,3,2,6,1,4]=>11010=>[1,1,2,2] [5,3,2,6,4,1]=>11011=>[1,1,2,1,1] [5,3,4,1,2,6]=>10100=>[1,2,3] [5,3,4,1,6,2]=>10101=>[1,2,2,1] [5,3,4,2,1,6]=>10110=>[1,2,1,2] [5,3,4,2,6,1]=>10101=>[1,2,2,1] [5,3,4,6,1,2]=>10010=>[1,3,2] [5,3,4,6,2,1]=>10011=>[1,3,1,1] [5,3,6,1,2,4]=>10100=>[1,2,3] [5,3,6,1,4,2]=>10101=>[1,2,2,1] [5,3,6,2,1,4]=>10110=>[1,2,1,2] [5,3,6,2,4,1]=>10101=>[1,2,2,1] [5,3,6,4,1,2]=>10110=>[1,2,1,2] [5,3,6,4,2,1]=>10111=>[1,2,1,1,1] [5,4,1,2,3,6]=>11000=>[1,1,4] [5,4,1,2,6,3]=>11001=>[1,1,3,1] [5,4,1,3,2,6]=>11010=>[1,1,2,2] [5,4,1,3,6,2]=>11001=>[1,1,3,1] [5,4,1,6,2,3]=>11010=>[1,1,2,2] [5,4,1,6,3,2]=>11011=>[1,1,2,1,1] [5,4,2,1,3,6]=>11100=>[1,1,1,3] [5,4,2,1,6,3]=>11101=>[1,1,1,2,1] [5,4,2,3,1,6]=>11010=>[1,1,2,2] [5,4,2,3,6,1]=>11001=>[1,1,3,1] [5,4,2,6,1,3]=>11010=>[1,1,2,2] [5,4,2,6,3,1]=>11011=>[1,1,2,1,1] [5,4,3,1,2,6]=>11100=>[1,1,1,3] [5,4,3,1,6,2]=>11101=>[1,1,1,2,1] [5,4,3,2,1,6]=>11110=>[1,1,1,1,2] [5,4,3,2,6,1]=>11101=>[1,1,1,2,1] [5,4,3,6,1,2]=>11010=>[1,1,2,2] [5,4,3,6,2,1]=>11011=>[1,1,2,1,1] [5,4,6,1,2,3]=>10100=>[1,2,3] [5,4,6,1,3,2]=>10101=>[1,2,2,1] [5,4,6,2,1,3]=>10110=>[1,2,1,2] [5,4,6,2,3,1]=>10101=>[1,2,2,1] [5,4,6,3,1,2]=>10110=>[1,2,1,2] [5,4,6,3,2,1]=>10111=>[1,2,1,1,1] [5,6,1,2,3,4]=>01000=>[2,4] [5,6,1,2,4,3]=>01001=>[2,3,1] [5,6,1,3,2,4]=>01010=>[2,2,2] [5,6,1,3,4,2]=>01001=>[2,3,1] [5,6,1,4,2,3]=>01010=>[2,2,2] [5,6,1,4,3,2]=>01011=>[2,2,1,1] [5,6,2,1,3,4]=>01100=>[2,1,3] [5,6,2,1,4,3]=>01101=>[2,1,2,1] [5,6,2,3,1,4]=>01010=>[2,2,2] [5,6,2,3,4,1]=>01001=>[2,3,1] [5,6,2,4,1,3]=>01010=>[2,2,2] [5,6,2,4,3,1]=>01011=>[2,2,1,1] [5,6,3,1,2,4]=>01100=>[2,1,3] [5,6,3,1,4,2]=>01101=>[2,1,2,1] [5,6,3,2,1,4]=>01110=>[2,1,1,2] [5,6,3,2,4,1]=>01101=>[2,1,2,1] [5,6,3,4,1,2]=>01010=>[2,2,2] [5,6,3,4,2,1]=>01011=>[2,2,1,1] [5,6,4,1,2,3]=>01100=>[2,1,3] [5,6,4,1,3,2]=>01101=>[2,1,2,1] [5,6,4,2,1,3]=>01110=>[2,1,1,2] [5,6,4,2,3,1]=>01101=>[2,1,2,1] [5,6,4,3,1,2]=>01110=>[2,1,1,2] [5,6,4,3,2,1]=>01111=>[2,1,1,1,1] [6,1,2,3,4,5]=>10000=>[1,5] [6,1,2,3,5,4]=>10001=>[1,4,1] [6,1,2,4,3,5]=>10010=>[1,3,2] [6,1,2,4,5,3]=>10001=>[1,4,1] [6,1,2,5,3,4]=>10010=>[1,3,2] [6,1,2,5,4,3]=>10011=>[1,3,1,1] [6,1,3,2,4,5]=>10100=>[1,2,3] [6,1,3,2,5,4]=>10101=>[1,2,2,1] [6,1,3,4,2,5]=>10010=>[1,3,2] [6,1,3,4,5,2]=>10001=>[1,4,1] [6,1,3,5,2,4]=>10010=>[1,3,2] [6,1,3,5,4,2]=>10011=>[1,3,1,1] [6,1,4,2,3,5]=>10100=>[1,2,3] [6,1,4,2,5,3]=>10101=>[1,2,2,1] [6,1,4,3,2,5]=>10110=>[1,2,1,2] [6,1,4,3,5,2]=>10101=>[1,2,2,1] [6,1,4,5,2,3]=>10010=>[1,3,2] [6,1,4,5,3,2]=>10011=>[1,3,1,1] [6,1,5,2,3,4]=>10100=>[1,2,3] [6,1,5,2,4,3]=>10101=>[1,2,2,1] [6,1,5,3,2,4]=>10110=>[1,2,1,2] [6,1,5,3,4,2]=>10101=>[1,2,2,1] [6,1,5,4,2,3]=>10110=>[1,2,1,2] [6,1,5,4,3,2]=>10111=>[1,2,1,1,1] [6,2,1,3,4,5]=>11000=>[1,1,4] [6,2,1,3,5,4]=>11001=>[1,1,3,1] [6,2,1,4,3,5]=>11010=>[1,1,2,2] [6,2,1,4,5,3]=>11001=>[1,1,3,1] [6,2,1,5,3,4]=>11010=>[1,1,2,2] [6,2,1,5,4,3]=>11011=>[1,1,2,1,1] [6,2,3,1,4,5]=>10100=>[1,2,3] [6,2,3,1,5,4]=>10101=>[1,2,2,1] [6,2,3,4,1,5]=>10010=>[1,3,2] [6,2,3,4,5,1]=>10001=>[1,4,1] [6,2,3,5,1,4]=>10010=>[1,3,2] [6,2,3,5,4,1]=>10011=>[1,3,1,1] [6,2,4,1,3,5]=>10100=>[1,2,3] [6,2,4,1,5,3]=>10101=>[1,2,2,1] [6,2,4,3,1,5]=>10110=>[1,2,1,2] [6,2,4,3,5,1]=>10101=>[1,2,2,1] [6,2,4,5,1,3]=>10010=>[1,3,2] [6,2,4,5,3,1]=>10011=>[1,3,1,1] [6,2,5,1,3,4]=>10100=>[1,2,3] [6,2,5,1,4,3]=>10101=>[1,2,2,1] [6,2,5,3,1,4]=>10110=>[1,2,1,2] [6,2,5,3,4,1]=>10101=>[1,2,2,1] [6,2,5,4,1,3]=>10110=>[1,2,1,2] [6,2,5,4,3,1]=>10111=>[1,2,1,1,1] [6,3,1,2,4,5]=>11000=>[1,1,4] [6,3,1,2,5,4]=>11001=>[1,1,3,1] [6,3,1,4,2,5]=>11010=>[1,1,2,2] [6,3,1,4,5,2]=>11001=>[1,1,3,1] [6,3,1,5,2,4]=>11010=>[1,1,2,2] [6,3,1,5,4,2]=>11011=>[1,1,2,1,1] [6,3,2,1,4,5]=>11100=>[1,1,1,3] [6,3,2,1,5,4]=>11101=>[1,1,1,2,1] [6,3,2,4,1,5]=>11010=>[1,1,2,2] [6,3,2,4,5,1]=>11001=>[1,1,3,1] [6,3,2,5,1,4]=>11010=>[1,1,2,2] [6,3,2,5,4,1]=>11011=>[1,1,2,1,1] [6,3,4,1,2,5]=>10100=>[1,2,3] [6,3,4,1,5,2]=>10101=>[1,2,2,1] [6,3,4,2,1,5]=>10110=>[1,2,1,2] [6,3,4,2,5,1]=>10101=>[1,2,2,1] [6,3,4,5,1,2]=>10010=>[1,3,2] [6,3,4,5,2,1]=>10011=>[1,3,1,1] [6,3,5,1,2,4]=>10100=>[1,2,3] [6,3,5,1,4,2]=>10101=>[1,2,2,1] [6,3,5,2,1,4]=>10110=>[1,2,1,2] [6,3,5,2,4,1]=>10101=>[1,2,2,1] [6,3,5,4,1,2]=>10110=>[1,2,1,2] [6,3,5,4,2,1]=>10111=>[1,2,1,1,1] [6,4,1,2,3,5]=>11000=>[1,1,4] [6,4,1,2,5,3]=>11001=>[1,1,3,1] [6,4,1,3,2,5]=>11010=>[1,1,2,2] [6,4,1,3,5,2]=>11001=>[1,1,3,1] [6,4,1,5,2,3]=>11010=>[1,1,2,2] [6,4,1,5,3,2]=>11011=>[1,1,2,1,1] [6,4,2,1,3,5]=>11100=>[1,1,1,3] [6,4,2,1,5,3]=>11101=>[1,1,1,2,1] [6,4,2,3,1,5]=>11010=>[1,1,2,2] [6,4,2,3,5,1]=>11001=>[1,1,3,1] [6,4,2,5,1,3]=>11010=>[1,1,2,2] [6,4,2,5,3,1]=>11011=>[1,1,2,1,1] [6,4,3,1,2,5]=>11100=>[1,1,1,3] [6,4,3,1,5,2]=>11101=>[1,1,1,2,1] [6,4,3,2,1,5]=>11110=>[1,1,1,1,2] [6,4,3,2,5,1]=>11101=>[1,1,1,2,1] [6,4,3,5,1,2]=>11010=>[1,1,2,2] [6,4,3,5,2,1]=>11011=>[1,1,2,1,1] [6,4,5,1,2,3]=>10100=>[1,2,3] [6,4,5,1,3,2]=>10101=>[1,2,2,1] [6,4,5,2,1,3]=>10110=>[1,2,1,2] [6,4,5,2,3,1]=>10101=>[1,2,2,1] [6,4,5,3,1,2]=>10110=>[1,2,1,2] [6,4,5,3,2,1]=>10111=>[1,2,1,1,1] [6,5,1,2,3,4]=>11000=>[1,1,4] [6,5,1,2,4,3]=>11001=>[1,1,3,1] [6,5,1,3,2,4]=>11010=>[1,1,2,2] [6,5,1,3,4,2]=>11001=>[1,1,3,1] [6,5,1,4,2,3]=>11010=>[1,1,2,2] [6,5,1,4,3,2]=>11011=>[1,1,2,1,1] [6,5,2,1,3,4]=>11100=>[1,1,1,3] [6,5,2,1,4,3]=>11101=>[1,1,1,2,1] [6,5,2,3,1,4]=>11010=>[1,1,2,2] [6,5,2,3,4,1]=>11001=>[1,1,3,1] [6,5,2,4,1,3]=>11010=>[1,1,2,2] [6,5,2,4,3,1]=>11011=>[1,1,2,1,1] [6,5,3,1,2,4]=>11100=>[1,1,1,3] [6,5,3,1,4,2]=>11101=>[1,1,1,2,1] [6,5,3,2,1,4]=>11110=>[1,1,1,1,2] [6,5,3,2,4,1]=>11101=>[1,1,1,2,1] [6,5,3,4,1,2]=>11010=>[1,1,2,2] [6,5,3,4,2,1]=>11011=>[1,1,2,1,1] [6,5,4,1,2,3]=>11100=>[1,1,1,3] [6,5,4,1,3,2]=>11101=>[1,1,1,2,1] [6,5,4,2,1,3]=>11110=>[1,1,1,1,2] [6,5,4,2,3,1]=>11101=>[1,1,1,2,1] [6,5,4,3,1,2]=>11110=>[1,1,1,1,2] [6,5,4,3,2,1]=>11111=>[1,1,1,1,1,1] [1,2,3,4,5,6,7]=>000000=>[7] [1,2,3,4,5,7,6]=>000001=>[6,1] [1,2,3,4,6,5,7]=>000010=>[5,2] [1,2,3,4,6,7,5]=>000001=>[6,1] [1,2,3,4,7,5,6]=>000010=>[5,2] [1,2,3,4,7,6,5]=>000011=>[5,1,1] [1,2,3,5,4,6,7]=>000100=>[4,3] [1,2,3,5,4,7,6]=>000101=>[4,2,1] [1,2,3,5,6,4,7]=>000010=>[5,2] [1,2,3,5,6,7,4]=>000001=>[6,1] [1,2,3,5,7,4,6]=>000010=>[5,2] [1,2,3,5,7,6,4]=>000011=>[5,1,1] [1,2,3,6,4,5,7]=>000100=>[4,3] [1,2,3,6,4,7,5]=>000101=>[4,2,1] [1,2,3,6,5,4,7]=>000110=>[4,1,2] [1,2,3,6,5,7,4]=>000101=>[4,2,1] [1,2,3,6,7,4,5]=>000010=>[5,2] [1,2,3,6,7,5,4]=>000011=>[5,1,1] [1,2,3,7,4,5,6]=>000100=>[4,3] [1,2,3,7,4,6,5]=>000101=>[4,2,1] [1,2,3,7,5,4,6]=>000110=>[4,1,2] [1,2,3,7,5,6,4]=>000101=>[4,2,1] [1,2,3,7,6,4,5]=>000110=>[4,1,2] [1,2,3,7,6,5,4]=>000111=>[4,1,1,1] [1,2,4,3,5,6,7]=>001000=>[3,4] [1,2,4,3,5,7,6]=>001001=>[3,3,1] [1,2,4,3,6,5,7]=>001010=>[3,2,2] [1,2,4,3,6,7,5]=>001001=>[3,3,1] [1,2,4,3,7,5,6]=>001010=>[3,2,2] [1,2,4,3,7,6,5]=>001011=>[3,2,1,1] [1,2,4,5,3,6,7]=>000100=>[4,3] [1,2,4,5,3,7,6]=>000101=>[4,2,1] [1,2,4,5,6,3,7]=>000010=>[5,2] [1,2,4,5,6,7,3]=>000001=>[6,1] [1,2,4,5,7,3,6]=>000010=>[5,2] [1,2,4,5,7,6,3]=>000011=>[5,1,1] [1,2,4,6,3,5,7]=>000100=>[4,3] [1,2,4,6,3,7,5]=>000101=>[4,2,1] [1,2,4,6,5,3,7]=>000110=>[4,1,2] [1,2,4,6,5,7,3]=>000101=>[4,2,1] [1,2,4,6,7,3,5]=>000010=>[5,2] [1,2,4,6,7,5,3]=>000011=>[5,1,1] [1,2,4,7,3,5,6]=>000100=>[4,3] [1,2,4,7,3,6,5]=>000101=>[4,2,1] [1,2,4,7,5,3,6]=>000110=>[4,1,2] [1,2,4,7,5,6,3]=>000101=>[4,2,1] [1,2,4,7,6,3,5]=>000110=>[4,1,2] [1,2,4,7,6,5,3]=>000111=>[4,1,1,1] [1,2,5,3,4,6,7]=>001000=>[3,4] [1,2,5,3,4,7,6]=>001001=>[3,3,1] [1,2,5,3,6,4,7]=>001010=>[3,2,2] [1,2,5,3,6,7,4]=>001001=>[3,3,1] [1,2,5,3,7,4,6]=>001010=>[3,2,2] [1,2,5,3,7,6,4]=>001011=>[3,2,1,1] [1,2,5,4,3,6,7]=>001100=>[3,1,3] [1,2,5,4,3,7,6]=>001101=>[3,1,2,1] [1,2,5,4,6,3,7]=>001010=>[3,2,2] [1,2,5,4,6,7,3]=>001001=>[3,3,1] [1,2,5,4,7,3,6]=>001010=>[3,2,2] [1,2,5,4,7,6,3]=>001011=>[3,2,1,1] [1,2,5,6,3,4,7]=>000100=>[4,3] [1,2,5,6,3,7,4]=>000101=>[4,2,1] [1,2,5,6,4,3,7]=>000110=>[4,1,2] [1,2,5,6,4,7,3]=>000101=>[4,2,1] [1,2,5,6,7,3,4]=>000010=>[5,2] [1,2,5,6,7,4,3]=>000011=>[5,1,1] [1,2,5,7,3,4,6]=>000100=>[4,3] [1,2,5,7,3,6,4]=>000101=>[4,2,1] [1,2,5,7,4,3,6]=>000110=>[4,1,2] [1,2,5,7,4,6,3]=>000101=>[4,2,1] [1,2,5,7,6,3,4]=>000110=>[4,1,2] [1,2,5,7,6,4,3]=>000111=>[4,1,1,1] [1,2,6,3,4,5,7]=>001000=>[3,4] [1,2,6,3,4,7,5]=>001001=>[3,3,1] [1,2,6,3,5,4,7]=>001010=>[3,2,2] [1,2,6,3,5,7,4]=>001001=>[3,3,1] [1,2,6,3,7,4,5]=>001010=>[3,2,2] [1,2,6,3,7,5,4]=>001011=>[3,2,1,1] [1,2,6,4,3,5,7]=>001100=>[3,1,3] [1,2,6,4,3,7,5]=>001101=>[3,1,2,1] [1,2,6,4,5,3,7]=>001010=>[3,2,2] [1,2,6,4,5,7,3]=>001001=>[3,3,1] [1,2,6,4,7,3,5]=>001010=>[3,2,2] [1,2,6,4,7,5,3]=>001011=>[3,2,1,1] [1,2,6,5,3,4,7]=>001100=>[3,1,3] [1,2,6,5,3,7,4]=>001101=>[3,1,2,1] [1,2,6,5,4,3,7]=>001110=>[3,1,1,2] [1,2,6,5,4,7,3]=>001101=>[3,1,2,1] [1,2,6,5,7,3,4]=>001010=>[3,2,2] [1,2,6,5,7,4,3]=>001011=>[3,2,1,1] [1,2,6,7,3,4,5]=>000100=>[4,3] [1,2,6,7,3,5,4]=>000101=>[4,2,1] [1,2,6,7,4,3,5]=>000110=>[4,1,2] [1,2,6,7,4,5,3]=>000101=>[4,2,1] [1,2,6,7,5,3,4]=>000110=>[4,1,2] [1,2,6,7,5,4,3]=>000111=>[4,1,1,1] [1,2,7,3,4,5,6]=>001000=>[3,4] [1,2,7,3,4,6,5]=>001001=>[3,3,1] [1,2,7,3,5,4,6]=>001010=>[3,2,2] [1,2,7,3,5,6,4]=>001001=>[3,3,1] [1,2,7,3,6,4,5]=>001010=>[3,2,2] [1,2,7,3,6,5,4]=>001011=>[3,2,1,1] [1,2,7,4,3,5,6]=>001100=>[3,1,3] [1,2,7,4,3,6,5]=>001101=>[3,1,2,1] [1,2,7,4,5,3,6]=>001010=>[3,2,2] [1,2,7,4,5,6,3]=>001001=>[3,3,1] [1,2,7,4,6,3,5]=>001010=>[3,2,2] [1,2,7,4,6,5,3]=>001011=>[3,2,1,1] [1,2,7,5,3,4,6]=>001100=>[3,1,3] [1,2,7,5,3,6,4]=>001101=>[3,1,2,1] [1,2,7,5,4,3,6]=>001110=>[3,1,1,2] [1,2,7,5,4,6,3]=>001101=>[3,1,2,1] [1,2,7,5,6,3,4]=>001010=>[3,2,2] [1,2,7,5,6,4,3]=>001011=>[3,2,1,1] [1,2,7,6,3,4,5]=>001100=>[3,1,3] [1,2,7,6,3,5,4]=>001101=>[3,1,2,1] [1,2,7,6,4,3,5]=>001110=>[3,1,1,2] [1,2,7,6,4,5,3]=>001101=>[3,1,2,1] [1,2,7,6,5,3,4]=>001110=>[3,1,1,2] [1,2,7,6,5,4,3]=>001111=>[3,1,1,1,1] [1,3,2,4,5,6,7]=>010000=>[2,5] [1,3,2,4,5,7,6]=>010001=>[2,4,1] [1,3,2,4,6,5,7]=>010010=>[2,3,2] [1,3,2,4,6,7,5]=>010001=>[2,4,1] [1,3,2,4,7,5,6]=>010010=>[2,3,2] [1,3,2,4,7,6,5]=>010011=>[2,3,1,1] [1,3,2,5,4,6,7]=>010100=>[2,2,3] [1,3,2,5,4,7,6]=>010101=>[2,2,2,1] [1,3,2,5,6,4,7]=>010010=>[2,3,2] [1,3,2,5,6,7,4]=>010001=>[2,4,1] [1,3,2,5,7,4,6]=>010010=>[2,3,2] [1,3,2,5,7,6,4]=>010011=>[2,3,1,1] [1,3,2,6,4,5,7]=>010100=>[2,2,3] [1,3,2,6,4,7,5]=>010101=>[2,2,2,1] [1,3,2,6,5,4,7]=>010110=>[2,2,1,2] [1,3,2,6,5,7,4]=>010101=>[2,2,2,1] [1,3,2,6,7,4,5]=>010010=>[2,3,2] [1,3,2,6,7,5,4]=>010011=>[2,3,1,1] [1,3,2,7,4,5,6]=>010100=>[2,2,3] [1,3,2,7,4,6,5]=>010101=>[2,2,2,1] [1,3,2,7,5,4,6]=>010110=>[2,2,1,2] [1,3,2,7,5,6,4]=>010101=>[2,2,2,1] [1,3,2,7,6,4,5]=>010110=>[2,2,1,2] [1,3,2,7,6,5,4]=>010111=>[2,2,1,1,1] [1,3,4,2,5,6,7]=>001000=>[3,4] [1,3,4,2,5,7,6]=>001001=>[3,3,1] [1,3,4,2,6,5,7]=>001010=>[3,2,2] [1,3,4,2,6,7,5]=>001001=>[3,3,1] [1,3,4,2,7,5,6]=>001010=>[3,2,2] [1,3,4,2,7,6,5]=>001011=>[3,2,1,1] [1,3,4,5,2,6,7]=>000100=>[4,3] [1,3,4,5,2,7,6]=>000101=>[4,2,1] [1,3,4,5,6,2,7]=>000010=>[5,2] [1,3,4,5,6,7,2]=>000001=>[6,1] [1,3,4,5,7,2,6]=>000010=>[5,2] [1,3,4,5,7,6,2]=>000011=>[5,1,1] [1,3,4,6,2,5,7]=>000100=>[4,3] [1,3,4,6,2,7,5]=>000101=>[4,2,1] [1,3,4,6,5,2,7]=>000110=>[4,1,2] [1,3,4,6,5,7,2]=>000101=>[4,2,1] [1,3,4,6,7,2,5]=>000010=>[5,2] [1,3,4,6,7,5,2]=>000011=>[5,1,1] [1,3,4,7,2,5,6]=>000100=>[4,3] [1,3,4,7,2,6,5]=>000101=>[4,2,1] [1,3,4,7,5,2,6]=>000110=>[4,1,2] [1,3,4,7,5,6,2]=>000101=>[4,2,1] [1,3,4,7,6,2,5]=>000110=>[4,1,2] [1,3,4,7,6,5,2]=>000111=>[4,1,1,1] [1,3,5,2,4,6,7]=>001000=>[3,4] [1,3,5,2,4,7,6]=>001001=>[3,3,1] [1,3,5,2,6,4,7]=>001010=>[3,2,2] [1,3,5,2,6,7,4]=>001001=>[3,3,1] [1,3,5,2,7,4,6]=>001010=>[3,2,2] [1,3,5,2,7,6,4]=>001011=>[3,2,1,1] [1,3,5,4,2,6,7]=>001100=>[3,1,3] [1,3,5,4,2,7,6]=>001101=>[3,1,2,1] [1,3,5,4,6,2,7]=>001010=>[3,2,2] [1,3,5,4,6,7,2]=>001001=>[3,3,1] [1,3,5,4,7,2,6]=>001010=>[3,2,2] [1,3,5,4,7,6,2]=>001011=>[3,2,1,1] [1,3,5,6,2,4,7]=>000100=>[4,3] [1,3,5,6,2,7,4]=>000101=>[4,2,1] [1,3,5,6,4,2,7]=>000110=>[4,1,2] [1,3,5,6,4,7,2]=>000101=>[4,2,1] [1,3,5,6,7,2,4]=>000010=>[5,2] [1,3,5,6,7,4,2]=>000011=>[5,1,1] [1,3,5,7,2,4,6]=>000100=>[4,3] [1,3,5,7,2,6,4]=>000101=>[4,2,1] [1,3,5,7,4,2,6]=>000110=>[4,1,2] [1,3,5,7,4,6,2]=>000101=>[4,2,1] [1,3,5,7,6,2,4]=>000110=>[4,1,2] [1,3,5,7,6,4,2]=>000111=>[4,1,1,1] [1,3,6,2,4,5,7]=>001000=>[3,4] [1,3,6,2,4,7,5]=>001001=>[3,3,1] [1,3,6,2,5,4,7]=>001010=>[3,2,2] [1,3,6,2,5,7,4]=>001001=>[3,3,1] [1,3,6,2,7,4,5]=>001010=>[3,2,2] [1,3,6,2,7,5,4]=>001011=>[3,2,1,1] [1,3,6,4,2,5,7]=>001100=>[3,1,3] [1,3,6,4,2,7,5]=>001101=>[3,1,2,1] [1,3,6,4,5,2,7]=>001010=>[3,2,2] [1,3,6,4,5,7,2]=>001001=>[3,3,1] [1,3,6,4,7,2,5]=>001010=>[3,2,2] [1,3,6,4,7,5,2]=>001011=>[3,2,1,1] [1,3,6,5,2,4,7]=>001100=>[3,1,3] [1,3,6,5,2,7,4]=>001101=>[3,1,2,1] [1,3,6,5,4,2,7]=>001110=>[3,1,1,2] [1,3,6,5,4,7,2]=>001101=>[3,1,2,1] [1,3,6,5,7,2,4]=>001010=>[3,2,2] [1,3,6,5,7,4,2]=>001011=>[3,2,1,1] [1,3,6,7,2,4,5]=>000100=>[4,3] [1,3,6,7,2,5,4]=>000101=>[4,2,1] [1,3,6,7,4,2,5]=>000110=>[4,1,2] [1,3,6,7,4,5,2]=>000101=>[4,2,1] [1,3,6,7,5,2,4]=>000110=>[4,1,2] [1,3,6,7,5,4,2]=>000111=>[4,1,1,1] [1,3,7,2,4,5,6]=>001000=>[3,4] [1,3,7,2,4,6,5]=>001001=>[3,3,1] [1,3,7,2,5,4,6]=>001010=>[3,2,2] [1,3,7,2,5,6,4]=>001001=>[3,3,1] [1,3,7,2,6,4,5]=>001010=>[3,2,2] [1,3,7,2,6,5,4]=>001011=>[3,2,1,1] [1,3,7,4,2,5,6]=>001100=>[3,1,3] [1,3,7,4,2,6,5]=>001101=>[3,1,2,1] [1,3,7,4,5,2,6]=>001010=>[3,2,2] [1,3,7,4,5,6,2]=>001001=>[3,3,1] [1,3,7,4,6,2,5]=>001010=>[3,2,2] [1,3,7,4,6,5,2]=>001011=>[3,2,1,1] [1,3,7,5,2,4,6]=>001100=>[3,1,3] [1,3,7,5,2,6,4]=>001101=>[3,1,2,1] [1,3,7,5,4,2,6]=>001110=>[3,1,1,2] [1,3,7,5,4,6,2]=>001101=>[3,1,2,1] [1,3,7,5,6,2,4]=>001010=>[3,2,2] [1,3,7,5,6,4,2]=>001011=>[3,2,1,1] [1,3,7,6,2,4,5]=>001100=>[3,1,3] [1,3,7,6,2,5,4]=>001101=>[3,1,2,1] [1,3,7,6,4,2,5]=>001110=>[3,1,1,2] [1,3,7,6,4,5,2]=>001101=>[3,1,2,1] [1,3,7,6,5,2,4]=>001110=>[3,1,1,2] [1,3,7,6,5,4,2]=>001111=>[3,1,1,1,1] [1,4,2,3,5,6,7]=>010000=>[2,5] [1,4,2,3,5,7,6]=>010001=>[2,4,1] [1,4,2,3,6,5,7]=>010010=>[2,3,2] [1,4,2,3,6,7,5]=>010001=>[2,4,1] [1,4,2,3,7,5,6]=>010010=>[2,3,2] [1,4,2,3,7,6,5]=>010011=>[2,3,1,1] [1,4,2,5,3,6,7]=>010100=>[2,2,3] [1,4,2,5,3,7,6]=>010101=>[2,2,2,1] [1,4,2,5,6,3,7]=>010010=>[2,3,2] [1,4,2,5,6,7,3]=>010001=>[2,4,1] [1,4,2,5,7,3,6]=>010010=>[2,3,2] [1,4,2,5,7,6,3]=>010011=>[2,3,1,1] [1,4,2,6,3,5,7]=>010100=>[2,2,3] [1,4,2,6,3,7,5]=>010101=>[2,2,2,1] [1,4,2,6,5,3,7]=>010110=>[2,2,1,2] [1,4,2,6,5,7,3]=>010101=>[2,2,2,1] [1,4,2,6,7,3,5]=>010010=>[2,3,2] [1,4,2,6,7,5,3]=>010011=>[2,3,1,1] [1,4,2,7,3,5,6]=>010100=>[2,2,3] [1,4,2,7,3,6,5]=>010101=>[2,2,2,1] [1,4,2,7,5,3,6]=>010110=>[2,2,1,2] [1,4,2,7,5,6,3]=>010101=>[2,2,2,1] [1,4,2,7,6,3,5]=>010110=>[2,2,1,2] [1,4,2,7,6,5,3]=>010111=>[2,2,1,1,1] [1,4,3,2,5,6,7]=>011000=>[2,1,4] [1,4,3,2,5,7,6]=>011001=>[2,1,3,1] [1,4,3,2,6,5,7]=>011010=>[2,1,2,2] [1,4,3,2,6,7,5]=>011001=>[2,1,3,1] [1,4,3,2,7,5,6]=>011010=>[2,1,2,2] [1,4,3,2,7,6,5]=>011011=>[2,1,2,1,1] [1,4,3,5,2,6,7]=>010100=>[2,2,3] [1,4,3,5,2,7,6]=>010101=>[2,2,2,1] [1,4,3,5,6,2,7]=>010010=>[2,3,2] [1,4,3,5,6,7,2]=>010001=>[2,4,1] [1,4,3,5,7,2,6]=>010010=>[2,3,2] [1,4,3,5,7,6,2]=>010011=>[2,3,1,1] [1,4,3,6,2,5,7]=>010100=>[2,2,3] [1,4,3,6,2,7,5]=>010101=>[2,2,2,1] [1,4,3,6,5,2,7]=>010110=>[2,2,1,2] [1,4,3,6,5,7,2]=>010101=>[2,2,2,1] [1,4,3,6,7,2,5]=>010010=>[2,3,2] [1,4,3,6,7,5,2]=>010011=>[2,3,1,1] [1,4,3,7,2,5,6]=>010100=>[2,2,3] [1,4,3,7,2,6,5]=>010101=>[2,2,2,1] [1,4,3,7,5,2,6]=>010110=>[2,2,1,2] [1,4,3,7,5,6,2]=>010101=>[2,2,2,1] [1,4,3,7,6,2,5]=>010110=>[2,2,1,2] [1,4,3,7,6,5,2]=>010111=>[2,2,1,1,1] [1,4,5,2,3,6,7]=>001000=>[3,4] [1,4,5,2,3,7,6]=>001001=>[3,3,1] [1,4,5,2,6,3,7]=>001010=>[3,2,2] [1,4,5,2,6,7,3]=>001001=>[3,3,1] [1,4,5,2,7,3,6]=>001010=>[3,2,2] [1,4,5,2,7,6,3]=>001011=>[3,2,1,1] [1,4,5,3,2,6,7]=>001100=>[3,1,3] [1,4,5,3,2,7,6]=>001101=>[3,1,2,1] [1,4,5,3,6,2,7]=>001010=>[3,2,2] [1,4,5,3,6,7,2]=>001001=>[3,3,1] [1,4,5,3,7,2,6]=>001010=>[3,2,2] [1,4,5,3,7,6,2]=>001011=>[3,2,1,1] [1,4,5,6,2,3,7]=>000100=>[4,3] [1,4,5,6,2,7,3]=>000101=>[4,2,1] [1,4,5,6,3,2,7]=>000110=>[4,1,2] [1,4,5,6,3,7,2]=>000101=>[4,2,1] [1,4,5,6,7,2,3]=>000010=>[5,2] [1,4,5,6,7,3,2]=>000011=>[5,1,1] [1,4,5,7,2,3,6]=>000100=>[4,3] [1,4,5,7,2,6,3]=>000101=>[4,2,1] [1,4,5,7,3,2,6]=>000110=>[4,1,2] [1,4,5,7,3,6,2]=>000101=>[4,2,1] [1,4,5,7,6,2,3]=>000110=>[4,1,2] [1,4,5,7,6,3,2]=>000111=>[4,1,1,1] [1,4,6,2,3,5,7]=>001000=>[3,4] [1,4,6,2,3,7,5]=>001001=>[3,3,1] [1,4,6,2,5,3,7]=>001010=>[3,2,2] [1,4,6,2,5,7,3]=>001001=>[3,3,1] [1,4,6,2,7,3,5]=>001010=>[3,2,2] [1,4,6,2,7,5,3]=>001011=>[3,2,1,1] [1,4,6,3,2,5,7]=>001100=>[3,1,3] [1,4,6,3,2,7,5]=>001101=>[3,1,2,1] [1,4,6,3,5,2,7]=>001010=>[3,2,2] [1,4,6,3,5,7,2]=>001001=>[3,3,1] [1,4,6,3,7,2,5]=>001010=>[3,2,2] [1,4,6,3,7,5,2]=>001011=>[3,2,1,1] [1,4,6,5,2,3,7]=>001100=>[3,1,3] [1,4,6,5,2,7,3]=>001101=>[3,1,2,1] [1,4,6,5,3,2,7]=>001110=>[3,1,1,2] [1,4,6,5,3,7,2]=>001101=>[3,1,2,1] [1,4,6,5,7,2,3]=>001010=>[3,2,2] [1,4,6,5,7,3,2]=>001011=>[3,2,1,1] [1,4,6,7,2,3,5]=>000100=>[4,3] [1,4,6,7,2,5,3]=>000101=>[4,2,1] [1,4,6,7,3,2,5]=>000110=>[4,1,2] [1,4,6,7,3,5,2]=>000101=>[4,2,1] [1,4,6,7,5,2,3]=>000110=>[4,1,2] [1,4,6,7,5,3,2]=>000111=>[4,1,1,1] [1,4,7,2,3,5,6]=>001000=>[3,4] [1,4,7,2,3,6,5]=>001001=>[3,3,1] [1,4,7,2,5,3,6]=>001010=>[3,2,2] [1,4,7,2,5,6,3]=>001001=>[3,3,1] [1,4,7,2,6,3,5]=>001010=>[3,2,2] [1,4,7,2,6,5,3]=>001011=>[3,2,1,1] [1,4,7,3,2,5,6]=>001100=>[3,1,3] [1,4,7,3,2,6,5]=>001101=>[3,1,2,1] [1,4,7,3,5,2,6]=>001010=>[3,2,2] [1,4,7,3,5,6,2]=>001001=>[3,3,1] [1,4,7,3,6,2,5]=>001010=>[3,2,2] [1,4,7,3,6,5,2]=>001011=>[3,2,1,1] [1,4,7,5,2,3,6]=>001100=>[3,1,3] [1,4,7,5,2,6,3]=>001101=>[3,1,2,1] [1,4,7,5,3,2,6]=>001110=>[3,1,1,2] [1,4,7,5,3,6,2]=>001101=>[3,1,2,1] [1,4,7,5,6,2,3]=>001010=>[3,2,2] [1,4,7,5,6,3,2]=>001011=>[3,2,1,1] [1,4,7,6,2,3,5]=>001100=>[3,1,3] [1,4,7,6,2,5,3]=>001101=>[3,1,2,1] [1,4,7,6,3,2,5]=>001110=>[3,1,1,2] [1,4,7,6,3,5,2]=>001101=>[3,1,2,1] [1,4,7,6,5,2,3]=>001110=>[3,1,1,2] [1,4,7,6,5,3,2]=>001111=>[3,1,1,1,1] [1,5,2,3,4,6,7]=>010000=>[2,5] [1,5,2,3,4,7,6]=>010001=>[2,4,1] [1,5,2,3,6,4,7]=>010010=>[2,3,2] [1,5,2,3,6,7,4]=>010001=>[2,4,1] [1,5,2,3,7,4,6]=>010010=>[2,3,2] [1,5,2,3,7,6,4]=>010011=>[2,3,1,1] [1,5,2,4,3,6,7]=>010100=>[2,2,3] [1,5,2,4,3,7,6]=>010101=>[2,2,2,1] [1,5,2,4,6,3,7]=>010010=>[2,3,2] [1,5,2,4,6,7,3]=>010001=>[2,4,1] [1,5,2,4,7,3,6]=>010010=>[2,3,2] [1,5,2,4,7,6,3]=>010011=>[2,3,1,1] [1,5,2,6,3,4,7]=>010100=>[2,2,3] [1,5,2,6,3,7,4]=>010101=>[2,2,2,1] [1,5,2,6,4,3,7]=>010110=>[2,2,1,2] [1,5,2,6,4,7,3]=>010101=>[2,2,2,1] [1,5,2,6,7,3,4]=>010010=>[2,3,2] [1,5,2,6,7,4,3]=>010011=>[2,3,1,1] [1,5,2,7,3,4,6]=>010100=>[2,2,3] [1,5,2,7,3,6,4]=>010101=>[2,2,2,1] [1,5,2,7,4,3,6]=>010110=>[2,2,1,2] [1,5,2,7,4,6,3]=>010101=>[2,2,2,1] [1,5,2,7,6,3,4]=>010110=>[2,2,1,2] [1,5,2,7,6,4,3]=>010111=>[2,2,1,1,1] [1,5,3,2,4,6,7]=>011000=>[2,1,4] [1,5,3,2,4,7,6]=>011001=>[2,1,3,1] [1,5,3,2,6,4,7]=>011010=>[2,1,2,2] [1,5,3,2,6,7,4]=>011001=>[2,1,3,1] [1,5,3,2,7,4,6]=>011010=>[2,1,2,2] [1,5,3,2,7,6,4]=>011011=>[2,1,2,1,1] [1,5,3,4,2,6,7]=>010100=>[2,2,3] [1,5,3,4,2,7,6]=>010101=>[2,2,2,1] [1,5,3,4,6,2,7]=>010010=>[2,3,2] [1,5,3,4,6,7,2]=>010001=>[2,4,1] [1,5,3,4,7,2,6]=>010010=>[2,3,2] [1,5,3,4,7,6,2]=>010011=>[2,3,1,1] [1,5,3,6,2,4,7]=>010100=>[2,2,3] [1,5,3,6,2,7,4]=>010101=>[2,2,2,1] [1,5,3,6,4,2,7]=>010110=>[2,2,1,2] [1,5,3,6,4,7,2]=>010101=>[2,2,2,1] [1,5,3,6,7,2,4]=>010010=>[2,3,2] [1,5,3,6,7,4,2]=>010011=>[2,3,1,1] [1,5,3,7,2,4,6]=>010100=>[2,2,3] [1,5,3,7,2,6,4]=>010101=>[2,2,2,1] [1,5,3,7,4,2,6]=>010110=>[2,2,1,2] [1,5,3,7,4,6,2]=>010101=>[2,2,2,1] [1,5,3,7,6,2,4]=>010110=>[2,2,1,2] [1,5,3,7,6,4,2]=>010111=>[2,2,1,1,1] [1,5,4,2,3,6,7]=>011000=>[2,1,4] [1,5,4,2,3,7,6]=>011001=>[2,1,3,1] [1,5,4,2,6,3,7]=>011010=>[2,1,2,2] [1,5,4,2,6,7,3]=>011001=>[2,1,3,1] [1,5,4,2,7,3,6]=>011010=>[2,1,2,2] [1,5,4,2,7,6,3]=>011011=>[2,1,2,1,1] [1,5,4,3,2,6,7]=>011100=>[2,1,1,3] [1,5,4,3,2,7,6]=>011101=>[2,1,1,2,1] [1,5,4,3,6,2,7]=>011010=>[2,1,2,2] [1,5,4,3,6,7,2]=>011001=>[2,1,3,1] [1,5,4,3,7,2,6]=>011010=>[2,1,2,2] [1,5,4,3,7,6,2]=>011011=>[2,1,2,1,1] [1,5,4,6,2,3,7]=>010100=>[2,2,3] [1,5,4,6,2,7,3]=>010101=>[2,2,2,1] [1,5,4,6,3,2,7]=>010110=>[2,2,1,2] [1,5,4,6,3,7,2]=>010101=>[2,2,2,1] [1,5,4,6,7,2,3]=>010010=>[2,3,2] [1,5,4,6,7,3,2]=>010011=>[2,3,1,1] [1,5,4,7,2,3,6]=>010100=>[2,2,3] [1,5,4,7,2,6,3]=>010101=>[2,2,2,1] [1,5,4,7,3,2,6]=>010110=>[2,2,1,2] [1,5,4,7,3,6,2]=>010101=>[2,2,2,1] [1,5,4,7,6,2,3]=>010110=>[2,2,1,2] [1,5,4,7,6,3,2]=>010111=>[2,2,1,1,1] [1,5,6,2,3,4,7]=>001000=>[3,4] [1,5,6,2,3,7,4]=>001001=>[3,3,1] [1,5,6,2,4,3,7]=>001010=>[3,2,2] [1,5,6,2,4,7,3]=>001001=>[3,3,1] [1,5,6,2,7,3,4]=>001010=>[3,2,2] [1,5,6,2,7,4,3]=>001011=>[3,2,1,1] [1,5,6,3,2,4,7]=>001100=>[3,1,3] [1,5,6,3,2,7,4]=>001101=>[3,1,2,1] [1,5,6,3,4,2,7]=>001010=>[3,2,2] [1,5,6,3,4,7,2]=>001001=>[3,3,1] [1,5,6,3,7,2,4]=>001010=>[3,2,2] [1,5,6,3,7,4,2]=>001011=>[3,2,1,1] [1,5,6,4,2,3,7]=>001100=>[3,1,3] [1,5,6,4,2,7,3]=>001101=>[3,1,2,1] [1,5,6,4,3,2,7]=>001110=>[3,1,1,2] [1,5,6,4,3,7,2]=>001101=>[3,1,2,1] [1,5,6,4,7,2,3]=>001010=>[3,2,2] [1,5,6,4,7,3,2]=>001011=>[3,2,1,1] [1,5,6,7,2,3,4]=>000100=>[4,3] [1,5,6,7,2,4,3]=>000101=>[4,2,1] [1,5,6,7,3,2,4]=>000110=>[4,1,2] [1,5,6,7,3,4,2]=>000101=>[4,2,1] [1,5,6,7,4,2,3]=>000110=>[4,1,2] [1,5,6,7,4,3,2]=>000111=>[4,1,1,1] [1,5,7,2,3,4,6]=>001000=>[3,4] [1,5,7,2,3,6,4]=>001001=>[3,3,1] [1,5,7,2,4,3,6]=>001010=>[3,2,2] [1,5,7,2,4,6,3]=>001001=>[3,3,1] [1,5,7,2,6,3,4]=>001010=>[3,2,2] [1,5,7,2,6,4,3]=>001011=>[3,2,1,1] [1,5,7,3,2,4,6]=>001100=>[3,1,3] [1,5,7,3,2,6,4]=>001101=>[3,1,2,1] [1,5,7,3,4,2,6]=>001010=>[3,2,2] [1,5,7,3,4,6,2]=>001001=>[3,3,1] [1,5,7,3,6,2,4]=>001010=>[3,2,2] [1,5,7,3,6,4,2]=>001011=>[3,2,1,1] [1,5,7,4,2,3,6]=>001100=>[3,1,3] [1,5,7,4,2,6,3]=>001101=>[3,1,2,1] [1,5,7,4,3,2,6]=>001110=>[3,1,1,2] [1,5,7,4,3,6,2]=>001101=>[3,1,2,1] [1,5,7,4,6,2,3]=>001010=>[3,2,2] [1,5,7,4,6,3,2]=>001011=>[3,2,1,1] [1,5,7,6,2,3,4]=>001100=>[3,1,3] [1,5,7,6,2,4,3]=>001101=>[3,1,2,1] [1,5,7,6,3,2,4]=>001110=>[3,1,1,2] [1,5,7,6,3,4,2]=>001101=>[3,1,2,1] [1,5,7,6,4,2,3]=>001110=>[3,1,1,2] [1,5,7,6,4,3,2]=>001111=>[3,1,1,1,1] [1,6,2,3,4,5,7]=>010000=>[2,5] [1,6,2,3,4,7,5]=>010001=>[2,4,1] [1,6,2,3,5,4,7]=>010010=>[2,3,2] [1,6,2,3,5,7,4]=>010001=>[2,4,1] [1,6,2,3,7,4,5]=>010010=>[2,3,2] [1,6,2,3,7,5,4]=>010011=>[2,3,1,1] [1,6,2,4,3,5,7]=>010100=>[2,2,3] [1,6,2,4,3,7,5]=>010101=>[2,2,2,1] [1,6,2,4,5,3,7]=>010010=>[2,3,2] [1,6,2,4,5,7,3]=>010001=>[2,4,1] [1,6,2,4,7,3,5]=>010010=>[2,3,2] [1,6,2,4,7,5,3]=>010011=>[2,3,1,1] [1,6,2,5,3,4,7]=>010100=>[2,2,3] [1,6,2,5,3,7,4]=>010101=>[2,2,2,1] [1,6,2,5,4,3,7]=>010110=>[2,2,1,2] [1,6,2,5,4,7,3]=>010101=>[2,2,2,1] [1,6,2,5,7,3,4]=>010010=>[2,3,2] [1,6,2,5,7,4,3]=>010011=>[2,3,1,1] [1,6,2,7,3,4,5]=>010100=>[2,2,3] [1,6,2,7,3,5,4]=>010101=>[2,2,2,1] [1,6,2,7,4,3,5]=>010110=>[2,2,1,2] [1,6,2,7,4,5,3]=>010101=>[2,2,2,1] [1,6,2,7,5,3,4]=>010110=>[2,2,1,2] [1,6,2,7,5,4,3]=>010111=>[2,2,1,1,1] [1,6,3,2,4,5,7]=>011000=>[2,1,4] [1,6,3,2,4,7,5]=>011001=>[2,1,3,1] [1,6,3,2,5,4,7]=>011010=>[2,1,2,2] [1,6,3,2,5,7,4]=>011001=>[2,1,3,1] [1,6,3,2,7,4,5]=>011010=>[2,1,2,2] [1,6,3,2,7,5,4]=>011011=>[2,1,2,1,1] [1,6,3,4,2,5,7]=>010100=>[2,2,3] [1,6,3,4,2,7,5]=>010101=>[2,2,2,1] [1,6,3,4,5,2,7]=>010010=>[2,3,2] [1,6,3,4,5,7,2]=>010001=>[2,4,1] [1,6,3,4,7,2,5]=>010010=>[2,3,2] [1,6,3,4,7,5,2]=>010011=>[2,3,1,1] [1,6,3,5,2,4,7]=>010100=>[2,2,3] [1,6,3,5,2,7,4]=>010101=>[2,2,2,1] [1,6,3,5,4,2,7]=>010110=>[2,2,1,2] [1,6,3,5,4,7,2]=>010101=>[2,2,2,1] [1,6,3,5,7,2,4]=>010010=>[2,3,2] [1,6,3,5,7,4,2]=>010011=>[2,3,1,1] [1,6,3,7,2,4,5]=>010100=>[2,2,3] [1,6,3,7,2,5,4]=>010101=>[2,2,2,1] [1,6,3,7,4,2,5]=>010110=>[2,2,1,2] [1,6,3,7,4,5,2]=>010101=>[2,2,2,1] [1,6,3,7,5,2,4]=>010110=>[2,2,1,2] [1,6,3,7,5,4,2]=>010111=>[2,2,1,1,1] [1,6,4,2,3,5,7]=>011000=>[2,1,4] [1,6,4,2,3,7,5]=>011001=>[2,1,3,1] [1,6,4,2,5,3,7]=>011010=>[2,1,2,2] [1,6,4,2,5,7,3]=>011001=>[2,1,3,1] [1,6,4,2,7,3,5]=>011010=>[2,1,2,2] [1,6,4,2,7,5,3]=>011011=>[2,1,2,1,1] [1,6,4,3,2,5,7]=>011100=>[2,1,1,3] [1,6,4,3,2,7,5]=>011101=>[2,1,1,2,1] [1,6,4,3,5,2,7]=>011010=>[2,1,2,2] [1,6,4,3,5,7,2]=>011001=>[2,1,3,1] [1,6,4,3,7,2,5]=>011010=>[2,1,2,2] [1,6,4,3,7,5,2]=>011011=>[2,1,2,1,1] [1,6,4,5,2,3,7]=>010100=>[2,2,3] [1,6,4,5,2,7,3]=>010101=>[2,2,2,1] [1,6,4,5,3,2,7]=>010110=>[2,2,1,2] [1,6,4,5,3,7,2]=>010101=>[2,2,2,1] [1,6,4,5,7,2,3]=>010010=>[2,3,2] [1,6,4,5,7,3,2]=>010011=>[2,3,1,1] [1,6,4,7,2,3,5]=>010100=>[2,2,3] [1,6,4,7,2,5,3]=>010101=>[2,2,2,1] [1,6,4,7,3,2,5]=>010110=>[2,2,1,2] [1,6,4,7,3,5,2]=>010101=>[2,2,2,1] [1,6,4,7,5,2,3]=>010110=>[2,2,1,2] [1,6,4,7,5,3,2]=>010111=>[2,2,1,1,1] [1,6,5,2,3,4,7]=>011000=>[2,1,4] [1,6,5,2,3,7,4]=>011001=>[2,1,3,1] [1,6,5,2,4,3,7]=>011010=>[2,1,2,2] [1,6,5,2,4,7,3]=>011001=>[2,1,3,1] [1,6,5,2,7,3,4]=>011010=>[2,1,2,2] [1,6,5,2,7,4,3]=>011011=>[2,1,2,1,1] [1,6,5,3,2,4,7]=>011100=>[2,1,1,3] [1,6,5,3,2,7,4]=>011101=>[2,1,1,2,1] [1,6,5,3,4,2,7]=>011010=>[2,1,2,2] [1,6,5,3,4,7,2]=>011001=>[2,1,3,1] [1,6,5,3,7,2,4]=>011010=>[2,1,2,2] [1,6,5,3,7,4,2]=>011011=>[2,1,2,1,1] [1,6,5,4,2,3,7]=>011100=>[2,1,1,3] [1,6,5,4,2,7,3]=>011101=>[2,1,1,2,1] [1,6,5,4,3,2,7]=>011110=>[2,1,1,1,2] [1,6,5,4,3,7,2]=>011101=>[2,1,1,2,1] [1,6,5,4,7,2,3]=>011010=>[2,1,2,2] [1,6,5,4,7,3,2]=>011011=>[2,1,2,1,1] [1,6,5,7,2,3,4]=>010100=>[2,2,3] [1,6,5,7,2,4,3]=>010101=>[2,2,2,1] [1,6,5,7,3,2,4]=>010110=>[2,2,1,2] [1,6,5,7,3,4,2]=>010101=>[2,2,2,1] [1,6,5,7,4,2,3]=>010110=>[2,2,1,2] [1,6,5,7,4,3,2]=>010111=>[2,2,1,1,1] [1,6,7,2,3,4,5]=>001000=>[3,4] [1,6,7,2,3,5,4]=>001001=>[3,3,1] [1,6,7,2,4,3,5]=>001010=>[3,2,2] [1,6,7,2,4,5,3]=>001001=>[3,3,1] [1,6,7,2,5,3,4]=>001010=>[3,2,2] [1,6,7,2,5,4,3]=>001011=>[3,2,1,1] [1,6,7,3,2,4,5]=>001100=>[3,1,3] [1,6,7,3,2,5,4]=>001101=>[3,1,2,1] [1,6,7,3,4,2,5]=>001010=>[3,2,2] [1,6,7,3,4,5,2]=>001001=>[3,3,1] [1,6,7,3,5,2,4]=>001010=>[3,2,2] [1,6,7,3,5,4,2]=>001011=>[3,2,1,1] [1,6,7,4,2,3,5]=>001100=>[3,1,3] [1,6,7,4,2,5,3]=>001101=>[3,1,2,1] [1,6,7,4,3,2,5]=>001110=>[3,1,1,2] [1,6,7,4,3,5,2]=>001101=>[3,1,2,1] [1,6,7,4,5,2,3]=>001010=>[3,2,2] [1,6,7,4,5,3,2]=>001011=>[3,2,1,1] [1,6,7,5,2,3,4]=>001100=>[3,1,3] [1,6,7,5,2,4,3]=>001101=>[3,1,2,1] [1,6,7,5,3,2,4]=>001110=>[3,1,1,2] [1,6,7,5,3,4,2]=>001101=>[3,1,2,1] [1,6,7,5,4,2,3]=>001110=>[3,1,1,2] [1,6,7,5,4,3,2]=>001111=>[3,1,1,1,1] [1,7,2,3,4,5,6]=>010000=>[2,5] [1,7,2,3,4,6,5]=>010001=>[2,4,1] [1,7,2,3,5,4,6]=>010010=>[2,3,2] [1,7,2,3,5,6,4]=>010001=>[2,4,1] [1,7,2,3,6,4,5]=>010010=>[2,3,2] [1,7,2,3,6,5,4]=>010011=>[2,3,1,1] [1,7,2,4,3,5,6]=>010100=>[2,2,3] [1,7,2,4,3,6,5]=>010101=>[2,2,2,1] [1,7,2,4,5,3,6]=>010010=>[2,3,2] [1,7,2,4,5,6,3]=>010001=>[2,4,1] [1,7,2,4,6,3,5]=>010010=>[2,3,2] [1,7,2,4,6,5,3]=>010011=>[2,3,1,1] [1,7,2,5,3,4,6]=>010100=>[2,2,3] [1,7,2,5,3,6,4]=>010101=>[2,2,2,1] [1,7,2,5,4,3,6]=>010110=>[2,2,1,2] [1,7,2,5,4,6,3]=>010101=>[2,2,2,1] [1,7,2,5,6,3,4]=>010010=>[2,3,2] [1,7,2,5,6,4,3]=>010011=>[2,3,1,1] [1,7,2,6,3,4,5]=>010100=>[2,2,3] [1,7,2,6,3,5,4]=>010101=>[2,2,2,1] [1,7,2,6,4,3,5]=>010110=>[2,2,1,2] [1,7,2,6,4,5,3]=>010101=>[2,2,2,1] [1,7,2,6,5,3,4]=>010110=>[2,2,1,2] [1,7,2,6,5,4,3]=>010111=>[2,2,1,1,1] [1,7,3,2,4,5,6]=>011000=>[2,1,4] [1,7,3,2,4,6,5]=>011001=>[2,1,3,1] [1,7,3,2,5,4,6]=>011010=>[2,1,2,2] [1,7,3,2,5,6,4]=>011001=>[2,1,3,1] [1,7,3,2,6,4,5]=>011010=>[2,1,2,2] [1,7,3,2,6,5,4]=>011011=>[2,1,2,1,1] [1,7,3,4,2,5,6]=>010100=>[2,2,3] [1,7,3,4,2,6,5]=>010101=>[2,2,2,1] [1,7,3,4,5,2,6]=>010010=>[2,3,2] [1,7,3,4,5,6,2]=>010001=>[2,4,1] [1,7,3,4,6,2,5]=>010010=>[2,3,2] [1,7,3,4,6,5,2]=>010011=>[2,3,1,1] [1,7,3,5,2,4,6]=>010100=>[2,2,3] [1,7,3,5,2,6,4]=>010101=>[2,2,2,1] [1,7,3,5,4,2,6]=>010110=>[2,2,1,2] [1,7,3,5,4,6,2]=>010101=>[2,2,2,1] [1,7,3,5,6,2,4]=>010010=>[2,3,2] [1,7,3,5,6,4,2]=>010011=>[2,3,1,1] [1,7,3,6,2,4,5]=>010100=>[2,2,3] [1,7,3,6,2,5,4]=>010101=>[2,2,2,1] [1,7,3,6,4,2,5]=>010110=>[2,2,1,2] [1,7,3,6,4,5,2]=>010101=>[2,2,2,1] [1,7,3,6,5,2,4]=>010110=>[2,2,1,2] [1,7,3,6,5,4,2]=>010111=>[2,2,1,1,1] [1,7,4,2,3,5,6]=>011000=>[2,1,4] [1,7,4,2,3,6,5]=>011001=>[2,1,3,1] [1,7,4,2,5,3,6]=>011010=>[2,1,2,2] [1,7,4,2,5,6,3]=>011001=>[2,1,3,1] [1,7,4,2,6,3,5]=>011010=>[2,1,2,2] [1,7,4,2,6,5,3]=>011011=>[2,1,2,1,1] [1,7,4,3,2,5,6]=>011100=>[2,1,1,3] [1,7,4,3,2,6,5]=>011101=>[2,1,1,2,1] [1,7,4,3,5,2,6]=>011010=>[2,1,2,2] [1,7,4,3,5,6,2]=>011001=>[2,1,3,1] [1,7,4,3,6,2,5]=>011010=>[2,1,2,2] [1,7,4,3,6,5,2]=>011011=>[2,1,2,1,1] [1,7,4,5,2,3,6]=>010100=>[2,2,3] [1,7,4,5,2,6,3]=>010101=>[2,2,2,1] [1,7,4,5,3,2,6]=>010110=>[2,2,1,2] [1,7,4,5,3,6,2]=>010101=>[2,2,2,1] [1,7,4,5,6,2,3]=>010010=>[2,3,2] [1,7,4,5,6,3,2]=>010011=>[2,3,1,1] [1,7,4,6,2,3,5]=>010100=>[2,2,3] [1,7,4,6,2,5,3]=>010101=>[2,2,2,1] [1,7,4,6,3,2,5]=>010110=>[2,2,1,2] [1,7,4,6,3,5,2]=>010101=>[2,2,2,1] [1,7,4,6,5,2,3]=>010110=>[2,2,1,2] [1,7,4,6,5,3,2]=>010111=>[2,2,1,1,1] [1,7,5,2,3,4,6]=>011000=>[2,1,4] [1,7,5,2,3,6,4]=>011001=>[2,1,3,1] [1,7,5,2,4,3,6]=>011010=>[2,1,2,2] [1,7,5,2,4,6,3]=>011001=>[2,1,3,1] [1,7,5,2,6,3,4]=>011010=>[2,1,2,2] [1,7,5,2,6,4,3]=>011011=>[2,1,2,1,1] [1,7,5,3,2,4,6]=>011100=>[2,1,1,3] [1,7,5,3,2,6,4]=>011101=>[2,1,1,2,1] [1,7,5,3,4,2,6]=>011010=>[2,1,2,2] [1,7,5,3,4,6,2]=>011001=>[2,1,3,1] [1,7,5,3,6,2,4]=>011010=>[2,1,2,2] [1,7,5,3,6,4,2]=>011011=>[2,1,2,1,1] [1,7,5,4,2,3,6]=>011100=>[2,1,1,3] [1,7,5,4,2,6,3]=>011101=>[2,1,1,2,1] [1,7,5,4,3,2,6]=>011110=>[2,1,1,1,2] [1,7,5,4,3,6,2]=>011101=>[2,1,1,2,1] [1,7,5,4,6,2,3]=>011010=>[2,1,2,2] [1,7,5,4,6,3,2]=>011011=>[2,1,2,1,1] [1,7,5,6,2,3,4]=>010100=>[2,2,3] [1,7,5,6,2,4,3]=>010101=>[2,2,2,1] [1,7,5,6,3,2,4]=>010110=>[2,2,1,2] [1,7,5,6,3,4,2]=>010101=>[2,2,2,1] [1,7,5,6,4,2,3]=>010110=>[2,2,1,2] [1,7,5,6,4,3,2]=>010111=>[2,2,1,1,1] [1,7,6,2,3,4,5]=>011000=>[2,1,4] [1,7,6,2,3,5,4]=>011001=>[2,1,3,1] [1,7,6,2,4,3,5]=>011010=>[2,1,2,2] [1,7,6,2,4,5,3]=>011001=>[2,1,3,1] [1,7,6,2,5,3,4]=>011010=>[2,1,2,2] [1,7,6,2,5,4,3]=>011011=>[2,1,2,1,1] [1,7,6,3,2,4,5]=>011100=>[2,1,1,3] [1,7,6,3,2,5,4]=>011101=>[2,1,1,2,1] [1,7,6,3,4,2,5]=>011010=>[2,1,2,2] [1,7,6,3,4,5,2]=>011001=>[2,1,3,1] [1,7,6,3,5,2,4]=>011010=>[2,1,2,2] [1,7,6,3,5,4,2]=>011011=>[2,1,2,1,1] [1,7,6,4,2,3,5]=>011100=>[2,1,1,3] [1,7,6,4,2,5,3]=>011101=>[2,1,1,2,1] [1,7,6,4,3,2,5]=>011110=>[2,1,1,1,2] [1,7,6,4,3,5,2]=>011101=>[2,1,1,2,1] [1,7,6,4,5,2,3]=>011010=>[2,1,2,2] [1,7,6,4,5,3,2]=>011011=>[2,1,2,1,1] [1,7,6,5,2,3,4]=>011100=>[2,1,1,3] [1,7,6,5,2,4,3]=>011101=>[2,1,1,2,1] [1,7,6,5,3,2,4]=>011110=>[2,1,1,1,2] [1,7,6,5,3,4,2]=>011101=>[2,1,1,2,1] [1,7,6,5,4,2,3]=>011110=>[2,1,1,1,2] [1,7,6,5,4,3,2]=>011111=>[2,1,1,1,1,1] [2,1,3,4,5,6,7]=>100000=>[1,6] [2,1,3,4,5,7,6]=>100001=>[1,5,1] [2,1,3,4,6,5,7]=>100010=>[1,4,2] [2,1,3,4,6,7,5]=>100001=>[1,5,1] [2,1,3,4,7,5,6]=>100010=>[1,4,2] [2,1,3,4,7,6,5]=>100011=>[1,4,1,1] [2,1,3,5,4,6,7]=>100100=>[1,3,3] [2,1,3,5,4,7,6]=>100101=>[1,3,2,1] [2,1,3,5,6,4,7]=>100010=>[1,4,2] [2,1,3,5,6,7,4]=>100001=>[1,5,1] [2,1,3,5,7,4,6]=>100010=>[1,4,2] [2,1,3,5,7,6,4]=>100011=>[1,4,1,1] [2,1,3,6,4,5,7]=>100100=>[1,3,3] [2,1,3,6,4,7,5]=>100101=>[1,3,2,1] [2,1,3,6,5,4,7]=>100110=>[1,3,1,2] [2,1,3,6,5,7,4]=>100101=>[1,3,2,1] [2,1,3,6,7,4,5]=>100010=>[1,4,2] [2,1,3,6,7,5,4]=>100011=>[1,4,1,1] [2,1,3,7,4,5,6]=>100100=>[1,3,3] [2,1,3,7,4,6,5]=>100101=>[1,3,2,1] [2,1,3,7,5,4,6]=>100110=>[1,3,1,2] [2,1,3,7,5,6,4]=>100101=>[1,3,2,1] [2,1,3,7,6,4,5]=>100110=>[1,3,1,2] [2,1,3,7,6,5,4]=>100111=>[1,3,1,1,1] [2,1,4,3,5,6,7]=>101000=>[1,2,4] [2,1,4,3,5,7,6]=>101001=>[1,2,3,1] [2,1,4,3,6,5,7]=>101010=>[1,2,2,2] [2,1,4,3,6,7,5]=>101001=>[1,2,3,1] [2,1,4,3,7,5,6]=>101010=>[1,2,2,2] [2,1,4,3,7,6,5]=>101011=>[1,2,2,1,1] [2,1,4,5,3,6,7]=>100100=>[1,3,3] [2,1,4,5,3,7,6]=>100101=>[1,3,2,1] [2,1,4,5,6,3,7]=>100010=>[1,4,2] [2,1,4,5,6,7,3]=>100001=>[1,5,1] [2,1,4,5,7,3,6]=>100010=>[1,4,2] [2,1,4,5,7,6,3]=>100011=>[1,4,1,1] [2,1,4,6,3,5,7]=>100100=>[1,3,3] [2,1,4,6,3,7,5]=>100101=>[1,3,2,1] [2,1,4,6,5,3,7]=>100110=>[1,3,1,2] [2,1,4,6,5,7,3]=>100101=>[1,3,2,1] [2,1,4,6,7,3,5]=>100010=>[1,4,2] [2,1,4,6,7,5,3]=>100011=>[1,4,1,1] [2,1,4,7,3,5,6]=>100100=>[1,3,3] [2,1,4,7,3,6,5]=>100101=>[1,3,2,1] [2,1,4,7,5,3,6]=>100110=>[1,3,1,2] [2,1,4,7,5,6,3]=>100101=>[1,3,2,1] [2,1,4,7,6,3,5]=>100110=>[1,3,1,2] [2,1,4,7,6,5,3]=>100111=>[1,3,1,1,1] [2,1,5,3,4,6,7]=>101000=>[1,2,4] [2,1,5,3,4,7,6]=>101001=>[1,2,3,1] [2,1,5,3,6,4,7]=>101010=>[1,2,2,2] [2,1,5,3,6,7,4]=>101001=>[1,2,3,1] [2,1,5,3,7,4,6]=>101010=>[1,2,2,2] [2,1,5,3,7,6,4]=>101011=>[1,2,2,1,1] [2,1,5,4,3,6,7]=>101100=>[1,2,1,3] [2,1,5,4,3,7,6]=>101101=>[1,2,1,2,1] [2,1,5,4,6,3,7]=>101010=>[1,2,2,2] [2,1,5,4,6,7,3]=>101001=>[1,2,3,1] [2,1,5,4,7,3,6]=>101010=>[1,2,2,2] [2,1,5,4,7,6,3]=>101011=>[1,2,2,1,1] [2,1,5,6,3,4,7]=>100100=>[1,3,3] [2,1,5,6,3,7,4]=>100101=>[1,3,2,1] [2,1,5,6,4,3,7]=>100110=>[1,3,1,2] [2,1,5,6,4,7,3]=>100101=>[1,3,2,1] [2,1,5,6,7,3,4]=>100010=>[1,4,2] [2,1,5,6,7,4,3]=>100011=>[1,4,1,1] [2,1,5,7,3,4,6]=>100100=>[1,3,3] [2,1,5,7,3,6,4]=>100101=>[1,3,2,1] [2,1,5,7,4,3,6]=>100110=>[1,3,1,2] [2,1,5,7,4,6,3]=>100101=>[1,3,2,1] [2,1,5,7,6,3,4]=>100110=>[1,3,1,2] [2,1,5,7,6,4,3]=>100111=>[1,3,1,1,1] [2,1,6,3,4,5,7]=>101000=>[1,2,4] [2,1,6,3,4,7,5]=>101001=>[1,2,3,1] [2,1,6,3,5,4,7]=>101010=>[1,2,2,2] [2,1,6,3,5,7,4]=>101001=>[1,2,3,1] [2,1,6,3,7,4,5]=>101010=>[1,2,2,2] [2,1,6,3,7,5,4]=>101011=>[1,2,2,1,1] [2,1,6,4,3,5,7]=>101100=>[1,2,1,3] [2,1,6,4,3,7,5]=>101101=>[1,2,1,2,1] [2,1,6,4,5,3,7]=>101010=>[1,2,2,2] [2,1,6,4,5,7,3]=>101001=>[1,2,3,1] [2,1,6,4,7,3,5]=>101010=>[1,2,2,2] [2,1,6,4,7,5,3]=>101011=>[1,2,2,1,1] [2,1,6,5,3,4,7]=>101100=>[1,2,1,3] [2,1,6,5,3,7,4]=>101101=>[1,2,1,2,1] [2,1,6,5,4,3,7]=>101110=>[1,2,1,1,2] [2,1,6,5,4,7,3]=>101101=>[1,2,1,2,1] [2,1,6,5,7,3,4]=>101010=>[1,2,2,2] [2,1,6,5,7,4,3]=>101011=>[1,2,2,1,1] [2,1,6,7,3,4,5]=>100100=>[1,3,3] [2,1,6,7,3,5,4]=>100101=>[1,3,2,1] [2,1,6,7,4,3,5]=>100110=>[1,3,1,2] [2,1,6,7,4,5,3]=>100101=>[1,3,2,1] [2,1,6,7,5,3,4]=>100110=>[1,3,1,2] [2,1,6,7,5,4,3]=>100111=>[1,3,1,1,1] [2,1,7,3,4,5,6]=>101000=>[1,2,4] [2,1,7,3,4,6,5]=>101001=>[1,2,3,1] [2,1,7,3,5,4,6]=>101010=>[1,2,2,2] [2,1,7,3,5,6,4]=>101001=>[1,2,3,1] [2,1,7,3,6,4,5]=>101010=>[1,2,2,2] [2,1,7,3,6,5,4]=>101011=>[1,2,2,1,1] [2,1,7,4,3,5,6]=>101100=>[1,2,1,3] [2,1,7,4,3,6,5]=>101101=>[1,2,1,2,1] [2,1,7,4,5,3,6]=>101010=>[1,2,2,2] [2,1,7,4,5,6,3]=>101001=>[1,2,3,1] [2,1,7,4,6,3,5]=>101010=>[1,2,2,2] [2,1,7,4,6,5,3]=>101011=>[1,2,2,1,1] [2,1,7,5,3,4,6]=>101100=>[1,2,1,3] [2,1,7,5,3,6,4]=>101101=>[1,2,1,2,1] [2,1,7,5,4,3,6]=>101110=>[1,2,1,1,2] [2,1,7,5,4,6,3]=>101101=>[1,2,1,2,1] [2,1,7,5,6,3,4]=>101010=>[1,2,2,2] [2,1,7,5,6,4,3]=>101011=>[1,2,2,1,1] [2,1,7,6,3,4,5]=>101100=>[1,2,1,3] [2,1,7,6,3,5,4]=>101101=>[1,2,1,2,1] [2,1,7,6,4,3,5]=>101110=>[1,2,1,1,2] [2,1,7,6,4,5,3]=>101101=>[1,2,1,2,1] [2,1,7,6,5,3,4]=>101110=>[1,2,1,1,2] [2,1,7,6,5,4,3]=>101111=>[1,2,1,1,1,1] [2,3,1,4,5,6,7]=>010000=>[2,5] [2,3,1,4,5,7,6]=>010001=>[2,4,1] [2,3,1,4,6,5,7]=>010010=>[2,3,2] [2,3,1,4,6,7,5]=>010001=>[2,4,1] [2,3,1,4,7,5,6]=>010010=>[2,3,2] [2,3,1,4,7,6,5]=>010011=>[2,3,1,1] [2,3,1,5,4,6,7]=>010100=>[2,2,3] [2,3,1,5,4,7,6]=>010101=>[2,2,2,1] [2,3,1,5,6,4,7]=>010010=>[2,3,2] [2,3,1,5,6,7,4]=>010001=>[2,4,1] [2,3,1,5,7,4,6]=>010010=>[2,3,2] [2,3,1,5,7,6,4]=>010011=>[2,3,1,1] [2,3,1,6,4,5,7]=>010100=>[2,2,3] [2,3,1,6,4,7,5]=>010101=>[2,2,2,1] [2,3,1,6,5,4,7]=>010110=>[2,2,1,2] [2,3,1,6,5,7,4]=>010101=>[2,2,2,1] [2,3,1,6,7,4,5]=>010010=>[2,3,2] [2,3,1,6,7,5,4]=>010011=>[2,3,1,1] [2,3,1,7,4,5,6]=>010100=>[2,2,3] [2,3,1,7,4,6,5]=>010101=>[2,2,2,1] [2,3,1,7,5,4,6]=>010110=>[2,2,1,2] [2,3,1,7,5,6,4]=>010101=>[2,2,2,1] [2,3,1,7,6,4,5]=>010110=>[2,2,1,2] [2,3,1,7,6,5,4]=>010111=>[2,2,1,1,1] [2,3,4,1,5,6,7]=>001000=>[3,4] [2,3,4,1,5,7,6]=>001001=>[3,3,1] [2,3,4,1,6,5,7]=>001010=>[3,2,2] [2,3,4,1,6,7,5]=>001001=>[3,3,1] [2,3,4,1,7,5,6]=>001010=>[3,2,2] [2,3,4,1,7,6,5]=>001011=>[3,2,1,1] [2,3,4,5,1,6,7]=>000100=>[4,3] [2,3,4,5,1,7,6]=>000101=>[4,2,1] [2,3,4,5,6,1,7]=>000010=>[5,2] [2,3,4,5,6,7,1]=>000001=>[6,1] [2,3,4,5,7,1,6]=>000010=>[5,2] [2,3,4,5,7,6,1]=>000011=>[5,1,1] [2,3,4,6,1,5,7]=>000100=>[4,3] [2,3,4,6,1,7,5]=>000101=>[4,2,1] [2,3,4,6,5,1,7]=>000110=>[4,1,2] [2,3,4,6,5,7,1]=>000101=>[4,2,1] [2,3,4,6,7,1,5]=>000010=>[5,2] [2,3,4,6,7,5,1]=>000011=>[5,1,1] [2,3,4,7,1,5,6]=>000100=>[4,3] [2,3,4,7,1,6,5]=>000101=>[4,2,1] [2,3,4,7,5,1,6]=>000110=>[4,1,2] [2,3,4,7,5,6,1]=>000101=>[4,2,1] [2,3,4,7,6,1,5]=>000110=>[4,1,2] [2,3,4,7,6,5,1]=>000111=>[4,1,1,1] [2,3,5,1,4,6,7]=>001000=>[3,4] [2,3,5,1,4,7,6]=>001001=>[3,3,1] [2,3,5,1,6,4,7]=>001010=>[3,2,2] [2,3,5,1,6,7,4]=>001001=>[3,3,1] [2,3,5,1,7,4,6]=>001010=>[3,2,2] [2,3,5,1,7,6,4]=>001011=>[3,2,1,1] [2,3,5,4,1,6,7]=>001100=>[3,1,3] [2,3,5,4,1,7,6]=>001101=>[3,1,2,1] [2,3,5,4,6,1,7]=>001010=>[3,2,2] [2,3,5,4,6,7,1]=>001001=>[3,3,1] [2,3,5,4,7,1,6]=>001010=>[3,2,2] [2,3,5,4,7,6,1]=>001011=>[3,2,1,1] [2,3,5,6,1,4,7]=>000100=>[4,3] [2,3,5,6,1,7,4]=>000101=>[4,2,1] [2,3,5,6,4,1,7]=>000110=>[4,1,2] [2,3,5,6,4,7,1]=>000101=>[4,2,1] [2,3,5,6,7,1,4]=>000010=>[5,2] [2,3,5,6,7,4,1]=>000011=>[5,1,1] [2,3,5,7,1,4,6]=>000100=>[4,3] [2,3,5,7,1,6,4]=>000101=>[4,2,1] [2,3,5,7,4,1,6]=>000110=>[4,1,2] [2,3,5,7,4,6,1]=>000101=>[4,2,1] [2,3,5,7,6,1,4]=>000110=>[4,1,2] [2,3,5,7,6,4,1]=>000111=>[4,1,1,1] [2,3,6,1,4,5,7]=>001000=>[3,4] [2,3,6,1,4,7,5]=>001001=>[3,3,1] [2,3,6,1,5,4,7]=>001010=>[3,2,2] [2,3,6,1,5,7,4]=>001001=>[3,3,1] [2,3,6,1,7,4,5]=>001010=>[3,2,2] [2,3,6,1,7,5,4]=>001011=>[3,2,1,1] [2,3,6,4,1,5,7]=>001100=>[3,1,3] [2,3,6,4,1,7,5]=>001101=>[3,1,2,1] [2,3,6,4,5,1,7]=>001010=>[3,2,2] [2,3,6,4,5,7,1]=>001001=>[3,3,1] [2,3,6,4,7,1,5]=>001010=>[3,2,2] [2,3,6,4,7,5,1]=>001011=>[3,2,1,1] [2,3,6,5,1,4,7]=>001100=>[3,1,3] [2,3,6,5,1,7,4]=>001101=>[3,1,2,1] [2,3,6,5,4,1,7]=>001110=>[3,1,1,2] [2,3,6,5,4,7,1]=>001101=>[3,1,2,1] [2,3,6,5,7,1,4]=>001010=>[3,2,2] [2,3,6,5,7,4,1]=>001011=>[3,2,1,1] [2,3,6,7,1,4,5]=>000100=>[4,3] [2,3,6,7,1,5,4]=>000101=>[4,2,1] [2,3,6,7,4,1,5]=>000110=>[4,1,2] [2,3,6,7,4,5,1]=>000101=>[4,2,1] [2,3,6,7,5,1,4]=>000110=>[4,1,2] [2,3,6,7,5,4,1]=>000111=>[4,1,1,1] [2,3,7,1,4,5,6]=>001000=>[3,4] [2,3,7,1,4,6,5]=>001001=>[3,3,1] [2,3,7,1,5,4,6]=>001010=>[3,2,2] [2,3,7,1,5,6,4]=>001001=>[3,3,1] [2,3,7,1,6,4,5]=>001010=>[3,2,2] [2,3,7,1,6,5,4]=>001011=>[3,2,1,1] [2,3,7,4,1,5,6]=>001100=>[3,1,3] [2,3,7,4,1,6,5]=>001101=>[3,1,2,1] [2,3,7,4,5,1,6]=>001010=>[3,2,2] [2,3,7,4,5,6,1]=>001001=>[3,3,1] [2,3,7,4,6,1,5]=>001010=>[3,2,2] [2,3,7,4,6,5,1]=>001011=>[3,2,1,1] [2,3,7,5,1,4,6]=>001100=>[3,1,3] [2,3,7,5,1,6,4]=>001101=>[3,1,2,1] [2,3,7,5,4,1,6]=>001110=>[3,1,1,2] [2,3,7,5,4,6,1]=>001101=>[3,1,2,1] [2,3,7,5,6,1,4]=>001010=>[3,2,2] [2,3,7,5,6,4,1]=>001011=>[3,2,1,1] [2,3,7,6,1,4,5]=>001100=>[3,1,3] [2,3,7,6,1,5,4]=>001101=>[3,1,2,1] [2,3,7,6,4,1,5]=>001110=>[3,1,1,2] [2,3,7,6,4,5,1]=>001101=>[3,1,2,1] [2,3,7,6,5,1,4]=>001110=>[3,1,1,2] [2,3,7,6,5,4,1]=>001111=>[3,1,1,1,1] [2,4,1,3,5,6,7]=>010000=>[2,5] [2,4,1,3,5,7,6]=>010001=>[2,4,1] [2,4,1,3,6,5,7]=>010010=>[2,3,2] [2,4,1,3,6,7,5]=>010001=>[2,4,1] [2,4,1,3,7,5,6]=>010010=>[2,3,2] [2,4,1,3,7,6,5]=>010011=>[2,3,1,1] [2,4,1,5,3,6,7]=>010100=>[2,2,3] [2,4,1,5,3,7,6]=>010101=>[2,2,2,1] [2,4,1,5,6,3,7]=>010010=>[2,3,2] [2,4,1,5,6,7,3]=>010001=>[2,4,1] [2,4,1,5,7,3,6]=>010010=>[2,3,2] [2,4,1,5,7,6,3]=>010011=>[2,3,1,1] [2,4,1,6,3,5,7]=>010100=>[2,2,3] [2,4,1,6,3,7,5]=>010101=>[2,2,2,1] [2,4,1,6,5,3,7]=>010110=>[2,2,1,2] [2,4,1,6,5,7,3]=>010101=>[2,2,2,1] [2,4,1,6,7,3,5]=>010010=>[2,3,2] [2,4,1,6,7,5,3]=>010011=>[2,3,1,1] [2,4,1,7,3,5,6]=>010100=>[2,2,3] [2,4,1,7,3,6,5]=>010101=>[2,2,2,1] [2,4,1,7,5,3,6]=>010110=>[2,2,1,2] [2,4,1,7,5,6,3]=>010101=>[2,2,2,1] [2,4,1,7,6,3,5]=>010110=>[2,2,1,2] [2,4,1,7,6,5,3]=>010111=>[2,2,1,1,1] [2,4,3,1,5,6,7]=>011000=>[2,1,4] [2,4,3,1,5,7,6]=>011001=>[2,1,3,1] [2,4,3,1,6,5,7]=>011010=>[2,1,2,2] [2,4,3,1,6,7,5]=>011001=>[2,1,3,1] [2,4,3,1,7,5,6]=>011010=>[2,1,2,2] [2,4,3,1,7,6,5]=>011011=>[2,1,2,1,1] [2,4,3,5,1,6,7]=>010100=>[2,2,3] [2,4,3,5,1,7,6]=>010101=>[2,2,2,1] [2,4,3,5,6,1,7]=>010010=>[2,3,2] [2,4,3,5,6,7,1]=>010001=>[2,4,1] [2,4,3,5,7,1,6]=>010010=>[2,3,2] [2,4,3,5,7,6,1]=>010011=>[2,3,1,1] [2,4,3,6,1,5,7]=>010100=>[2,2,3] [2,4,3,6,1,7,5]=>010101=>[2,2,2,1] [2,4,3,6,5,1,7]=>010110=>[2,2,1,2] [2,4,3,6,5,7,1]=>010101=>[2,2,2,1] [2,4,3,6,7,1,5]=>010010=>[2,3,2] [2,4,3,6,7,5,1]=>010011=>[2,3,1,1] [2,4,3,7,1,5,6]=>010100=>[2,2,3] [2,4,3,7,1,6,5]=>010101=>[2,2,2,1] [2,4,3,7,5,1,6]=>010110=>[2,2,1,2] [2,4,3,7,5,6,1]=>010101=>[2,2,2,1] [2,4,3,7,6,1,5]=>010110=>[2,2,1,2] [2,4,3,7,6,5,1]=>010111=>[2,2,1,1,1] [2,4,5,1,3,6,7]=>001000=>[3,4] [2,4,5,1,3,7,6]=>001001=>[3,3,1] [2,4,5,1,6,3,7]=>001010=>[3,2,2] [2,4,5,1,6,7,3]=>001001=>[3,3,1] [2,4,5,1,7,3,6]=>001010=>[3,2,2] [2,4,5,1,7,6,3]=>001011=>[3,2,1,1] [2,4,5,3,1,6,7]=>001100=>[3,1,3] [2,4,5,3,1,7,6]=>001101=>[3,1,2,1] [2,4,5,3,6,1,7]=>001010=>[3,2,2] [2,4,5,3,6,7,1]=>001001=>[3,3,1] [2,4,5,3,7,1,6]=>001010=>[3,2,2] [2,4,5,3,7,6,1]=>001011=>[3,2,1,1] [2,4,5,6,1,3,7]=>000100=>[4,3] [2,4,5,6,1,7,3]=>000101=>[4,2,1] [2,4,5,6,3,1,7]=>000110=>[4,1,2] [2,4,5,6,3,7,1]=>000101=>[4,2,1] [2,4,5,6,7,1,3]=>000010=>[5,2] [2,4,5,6,7,3,1]=>000011=>[5,1,1] [2,4,5,7,1,3,6]=>000100=>[4,3] [2,4,5,7,1,6,3]=>000101=>[4,2,1] [2,4,5,7,3,1,6]=>000110=>[4,1,2] [2,4,5,7,3,6,1]=>000101=>[4,2,1] [2,4,5,7,6,1,3]=>000110=>[4,1,2] [2,4,5,7,6,3,1]=>000111=>[4,1,1,1] [2,4,6,1,3,5,7]=>001000=>[3,4] [2,4,6,1,3,7,5]=>001001=>[3,3,1] [2,4,6,1,5,3,7]=>001010=>[3,2,2] [2,4,6,1,5,7,3]=>001001=>[3,3,1] [2,4,6,1,7,3,5]=>001010=>[3,2,2] [2,4,6,1,7,5,3]=>001011=>[3,2,1,1] [2,4,6,3,1,5,7]=>001100=>[3,1,3] [2,4,6,3,1,7,5]=>001101=>[3,1,2,1] [2,4,6,3,5,1,7]=>001010=>[3,2,2] [2,4,6,3,5,7,1]=>001001=>[3,3,1] [2,4,6,3,7,1,5]=>001010=>[3,2,2] [2,4,6,3,7,5,1]=>001011=>[3,2,1,1] [2,4,6,5,1,3,7]=>001100=>[3,1,3] [2,4,6,5,1,7,3]=>001101=>[3,1,2,1] [2,4,6,5,3,1,7]=>001110=>[3,1,1,2] [2,4,6,5,3,7,1]=>001101=>[3,1,2,1] [2,4,6,5,7,1,3]=>001010=>[3,2,2] [2,4,6,5,7,3,1]=>001011=>[3,2,1,1] [2,4,6,7,1,3,5]=>000100=>[4,3] [2,4,6,7,1,5,3]=>000101=>[4,2,1] [2,4,6,7,3,1,5]=>000110=>[4,1,2] [2,4,6,7,3,5,1]=>000101=>[4,2,1] [2,4,6,7,5,1,3]=>000110=>[4,1,2] [2,4,6,7,5,3,1]=>000111=>[4,1,1,1] [2,4,7,1,3,5,6]=>001000=>[3,4] [2,4,7,1,3,6,5]=>001001=>[3,3,1] [2,4,7,1,5,3,6]=>001010=>[3,2,2] [2,4,7,1,5,6,3]=>001001=>[3,3,1] [2,4,7,1,6,3,5]=>001010=>[3,2,2] [2,4,7,1,6,5,3]=>001011=>[3,2,1,1] [2,4,7,3,1,5,6]=>001100=>[3,1,3] [2,4,7,3,1,6,5]=>001101=>[3,1,2,1] [2,4,7,3,5,1,6]=>001010=>[3,2,2] [2,4,7,3,5,6,1]=>001001=>[3,3,1] [2,4,7,3,6,1,5]=>001010=>[3,2,2] [2,4,7,3,6,5,1]=>001011=>[3,2,1,1] [2,4,7,5,1,3,6]=>001100=>[3,1,3] [2,4,7,5,1,6,3]=>001101=>[3,1,2,1] [2,4,7,5,3,1,6]=>001110=>[3,1,1,2] [2,4,7,5,3,6,1]=>001101=>[3,1,2,1] [2,4,7,5,6,1,3]=>001010=>[3,2,2] [2,4,7,5,6,3,1]=>001011=>[3,2,1,1] [2,4,7,6,1,3,5]=>001100=>[3,1,3] [2,4,7,6,1,5,3]=>001101=>[3,1,2,1] [2,4,7,6,3,1,5]=>001110=>[3,1,1,2] [2,4,7,6,3,5,1]=>001101=>[3,1,2,1] [2,4,7,6,5,1,3]=>001110=>[3,1,1,2] [2,4,7,6,5,3,1]=>001111=>[3,1,1,1,1] [2,5,1,3,4,6,7]=>010000=>[2,5] [2,5,1,3,4,7,6]=>010001=>[2,4,1] [2,5,1,3,6,4,7]=>010010=>[2,3,2] [2,5,1,3,6,7,4]=>010001=>[2,4,1] [2,5,1,3,7,4,6]=>010010=>[2,3,2] [2,5,1,3,7,6,4]=>010011=>[2,3,1,1] [2,5,1,4,3,6,7]=>010100=>[2,2,3] [2,5,1,4,3,7,6]=>010101=>[2,2,2,1] [2,5,1,4,6,3,7]=>010010=>[2,3,2] [2,5,1,4,6,7,3]=>010001=>[2,4,1] [2,5,1,4,7,3,6]=>010010=>[2,3,2] [2,5,1,4,7,6,3]=>010011=>[2,3,1,1] [2,5,1,6,3,4,7]=>010100=>[2,2,3] [2,5,1,6,3,7,4]=>010101=>[2,2,2,1] [2,5,1,6,4,3,7]=>010110=>[2,2,1,2] [2,5,1,6,4,7,3]=>010101=>[2,2,2,1] [2,5,1,6,7,3,4]=>010010=>[2,3,2] [2,5,1,6,7,4,3]=>010011=>[2,3,1,1] [2,5,1,7,3,4,6]=>010100=>[2,2,3] [2,5,1,7,3,6,4]=>010101=>[2,2,2,1] [2,5,1,7,4,3,6]=>010110=>[2,2,1,2] [2,5,1,7,4,6,3]=>010101=>[2,2,2,1] [2,5,1,7,6,3,4]=>010110=>[2,2,1,2] [2,5,1,7,6,4,3]=>010111=>[2,2,1,1,1] [2,5,3,1,4,6,7]=>011000=>[2,1,4] [2,5,3,1,4,7,6]=>011001=>[2,1,3,1] [2,5,3,1,6,4,7]=>011010=>[2,1,2,2] [2,5,3,1,6,7,4]=>011001=>[2,1,3,1] [2,5,3,1,7,4,6]=>011010=>[2,1,2,2] [2,5,3,1,7,6,4]=>011011=>[2,1,2,1,1] [2,5,3,4,1,6,7]=>010100=>[2,2,3] [2,5,3,4,1,7,6]=>010101=>[2,2,2,1] [2,5,3,4,6,1,7]=>010010=>[2,3,2] [2,5,3,4,6,7,1]=>010001=>[2,4,1] [2,5,3,4,7,1,6]=>010010=>[2,3,2] [2,5,3,4,7,6,1]=>010011=>[2,3,1,1] [2,5,3,6,1,4,7]=>010100=>[2,2,3] [2,5,3,6,1,7,4]=>010101=>[2,2,2,1] [2,5,3,6,4,1,7]=>010110=>[2,2,1,2] [2,5,3,6,4,7,1]=>010101=>[2,2,2,1] [2,5,3,6,7,1,4]=>010010=>[2,3,2] [2,5,3,6,7,4,1]=>010011=>[2,3,1,1] [2,5,3,7,1,4,6]=>010100=>[2,2,3] [2,5,3,7,1,6,4]=>010101=>[2,2,2,1] [2,5,3,7,4,1,6]=>010110=>[2,2,1,2] [2,5,3,7,4,6,1]=>010101=>[2,2,2,1] [2,5,3,7,6,1,4]=>010110=>[2,2,1,2] [2,5,3,7,6,4,1]=>010111=>[2,2,1,1,1] [2,5,4,1,3,6,7]=>011000=>[2,1,4] [2,5,4,1,3,7,6]=>011001=>[2,1,3,1] [2,5,4,1,6,3,7]=>011010=>[2,1,2,2] [2,5,4,1,6,7,3]=>011001=>[2,1,3,1] [2,5,4,1,7,3,6]=>011010=>[2,1,2,2] [2,5,4,1,7,6,3]=>011011=>[2,1,2,1,1] [2,5,4,3,1,6,7]=>011100=>[2,1,1,3] [2,5,4,3,1,7,6]=>011101=>[2,1,1,2,1] [2,5,4,3,6,1,7]=>011010=>[2,1,2,2] [2,5,4,3,6,7,1]=>011001=>[2,1,3,1] [2,5,4,3,7,1,6]=>011010=>[2,1,2,2] [2,5,4,3,7,6,1]=>011011=>[2,1,2,1,1] [2,5,4,6,1,3,7]=>010100=>[2,2,3] [2,5,4,6,1,7,3]=>010101=>[2,2,2,1] [2,5,4,6,3,1,7]=>010110=>[2,2,1,2] [2,5,4,6,3,7,1]=>010101=>[2,2,2,1] [2,5,4,6,7,1,3]=>010010=>[2,3,2] [2,5,4,6,7,3,1]=>010011=>[2,3,1,1] [2,5,4,7,1,3,6]=>010100=>[2,2,3] [2,5,4,7,1,6,3]=>010101=>[2,2,2,1] [2,5,4,7,3,1,6]=>010110=>[2,2,1,2] [2,5,4,7,3,6,1]=>010101=>[2,2,2,1] [2,5,4,7,6,1,3]=>010110=>[2,2,1,2] [2,5,4,7,6,3,1]=>010111=>[2,2,1,1,1] [2,5,6,1,3,4,7]=>001000=>[3,4] [2,5,6,1,3,7,4]=>001001=>[3,3,1] [2,5,6,1,4,3,7]=>001010=>[3,2,2] [2,5,6,1,4,7,3]=>001001=>[3,3,1] [2,5,6,1,7,3,4]=>001010=>[3,2,2] [2,5,6,1,7,4,3]=>001011=>[3,2,1,1] [2,5,6,3,1,4,7]=>001100=>[3,1,3] [2,5,6,3,1,7,4]=>001101=>[3,1,2,1] [2,5,6,3,4,1,7]=>001010=>[3,2,2] [2,5,6,3,4,7,1]=>001001=>[3,3,1] [2,5,6,3,7,1,4]=>001010=>[3,2,2] [2,5,6,3,7,4,1]=>001011=>[3,2,1,1] [2,5,6,4,1,3,7]=>001100=>[3,1,3] [2,5,6,4,1,7,3]=>001101=>[3,1,2,1] [2,5,6,4,3,1,7]=>001110=>[3,1,1,2] [2,5,6,4,3,7,1]=>001101=>[3,1,2,1] [2,5,6,4,7,1,3]=>001010=>[3,2,2] [2,5,6,4,7,3,1]=>001011=>[3,2,1,1] [2,5,6,7,1,3,4]=>000100=>[4,3] [2,5,6,7,1,4,3]=>000101=>[4,2,1] [2,5,6,7,3,1,4]=>000110=>[4,1,2] [2,5,6,7,3,4,1]=>000101=>[4,2,1] [2,5,6,7,4,1,3]=>000110=>[4,1,2] [2,5,6,7,4,3,1]=>000111=>[4,1,1,1] [2,5,7,1,3,4,6]=>001000=>[3,4] [2,5,7,1,3,6,4]=>001001=>[3,3,1] [2,5,7,1,4,3,6]=>001010=>[3,2,2] [2,5,7,1,4,6,3]=>001001=>[3,3,1] [2,5,7,1,6,3,4]=>001010=>[3,2,2] [2,5,7,1,6,4,3]=>001011=>[3,2,1,1] [2,5,7,3,1,4,6]=>001100=>[3,1,3] [2,5,7,3,1,6,4]=>001101=>[3,1,2,1] [2,5,7,3,4,1,6]=>001010=>[3,2,2] [2,5,7,3,4,6,1]=>001001=>[3,3,1] [2,5,7,3,6,1,4]=>001010=>[3,2,2] [2,5,7,3,6,4,1]=>001011=>[3,2,1,1] [2,5,7,4,1,3,6]=>001100=>[3,1,3] [2,5,7,4,1,6,3]=>001101=>[3,1,2,1] [2,5,7,4,3,1,6]=>001110=>[3,1,1,2] [2,5,7,4,3,6,1]=>001101=>[3,1,2,1] [2,5,7,4,6,1,3]=>001010=>[3,2,2] [2,5,7,4,6,3,1]=>001011=>[3,2,1,1] [2,5,7,6,1,3,4]=>001100=>[3,1,3] [2,5,7,6,1,4,3]=>001101=>[3,1,2,1] [2,5,7,6,3,1,4]=>001110=>[3,1,1,2] [2,5,7,6,3,4,1]=>001101=>[3,1,2,1] [2,5,7,6,4,1,3]=>001110=>[3,1,1,2] [2,5,7,6,4,3,1]=>001111=>[3,1,1,1,1] [2,6,1,3,4,5,7]=>010000=>[2,5] [2,6,1,3,4,7,5]=>010001=>[2,4,1] [2,6,1,3,5,4,7]=>010010=>[2,3,2] [2,6,1,3,5,7,4]=>010001=>[2,4,1] [2,6,1,3,7,4,5]=>010010=>[2,3,2] [2,6,1,3,7,5,4]=>010011=>[2,3,1,1] [2,6,1,4,3,5,7]=>010100=>[2,2,3] [2,6,1,4,3,7,5]=>010101=>[2,2,2,1] [2,6,1,4,5,3,7]=>010010=>[2,3,2] [2,6,1,4,5,7,3]=>010001=>[2,4,1] [2,6,1,4,7,3,5]=>010010=>[2,3,2] [2,6,1,4,7,5,3]=>010011=>[2,3,1,1] [2,6,1,5,3,4,7]=>010100=>[2,2,3] [2,6,1,5,3,7,4]=>010101=>[2,2,2,1] [2,6,1,5,4,3,7]=>010110=>[2,2,1,2] [2,6,1,5,4,7,3]=>010101=>[2,2,2,1] [2,6,1,5,7,3,4]=>010010=>[2,3,2] [2,6,1,5,7,4,3]=>010011=>[2,3,1,1] [2,6,1,7,3,4,5]=>010100=>[2,2,3] [2,6,1,7,3,5,4]=>010101=>[2,2,2,1] [2,6,1,7,4,3,5]=>010110=>[2,2,1,2] [2,6,1,7,4,5,3]=>010101=>[2,2,2,1] [2,6,1,7,5,3,4]=>010110=>[2,2,1,2] [2,6,1,7,5,4,3]=>010111=>[2,2,1,1,1] [2,6,3,1,4,5,7]=>011000=>[2,1,4] [2,6,3,1,4,7,5]=>011001=>[2,1,3,1] [2,6,3,1,5,4,7]=>011010=>[2,1,2,2] [2,6,3,1,5,7,4]=>011001=>[2,1,3,1] [2,6,3,1,7,4,5]=>011010=>[2,1,2,2] [2,6,3,1,7,5,4]=>011011=>[2,1,2,1,1] [2,6,3,4,1,5,7]=>010100=>[2,2,3] [2,6,3,4,1,7,5]=>010101=>[2,2,2,1] [2,6,3,4,5,1,7]=>010010=>[2,3,2] [2,6,3,4,5,7,1]=>010001=>[2,4,1] [2,6,3,4,7,1,5]=>010010=>[2,3,2] [2,6,3,4,7,5,1]=>010011=>[2,3,1,1] [2,6,3,5,1,4,7]=>010100=>[2,2,3] [2,6,3,5,1,7,4]=>010101=>[2,2,2,1] [2,6,3,5,4,1,7]=>010110=>[2,2,1,2] [2,6,3,5,4,7,1]=>010101=>[2,2,2,1] [2,6,3,5,7,1,4]=>010010=>[2,3,2] [2,6,3,5,7,4,1]=>010011=>[2,3,1,1] [2,6,3,7,1,4,5]=>010100=>[2,2,3] [2,6,3,7,1,5,4]=>010101=>[2,2,2,1] [2,6,3,7,4,1,5]=>010110=>[2,2,1,2] [2,6,3,7,4,5,1]=>010101=>[2,2,2,1] [2,6,3,7,5,1,4]=>010110=>[2,2,1,2] [2,6,3,7,5,4,1]=>010111=>[2,2,1,1,1] [2,6,4,1,3,5,7]=>011000=>[2,1,4] [2,6,4,1,3,7,5]=>011001=>[2,1,3,1] [2,6,4,1,5,3,7]=>011010=>[2,1,2,2] [2,6,4,1,5,7,3]=>011001=>[2,1,3,1] [2,6,4,1,7,3,5]=>011010=>[2,1,2,2] [2,6,4,1,7,5,3]=>011011=>[2,1,2,1,1] [2,6,4,3,1,5,7]=>011100=>[2,1,1,3] [2,6,4,3,1,7,5]=>011101=>[2,1,1,2,1] [2,6,4,3,5,1,7]=>011010=>[2,1,2,2] [2,6,4,3,5,7,1]=>011001=>[2,1,3,1] [2,6,4,3,7,1,5]=>011010=>[2,1,2,2] [2,6,4,3,7,5,1]=>011011=>[2,1,2,1,1] [2,6,4,5,1,3,7]=>010100=>[2,2,3] [2,6,4,5,1,7,3]=>010101=>[2,2,2,1] [2,6,4,5,3,1,7]=>010110=>[2,2,1,2] [2,6,4,5,3,7,1]=>010101=>[2,2,2,1] [2,6,4,5,7,1,3]=>010010=>[2,3,2] [2,6,4,5,7,3,1]=>010011=>[2,3,1,1] [2,6,4,7,1,3,5]=>010100=>[2,2,3] [2,6,4,7,1,5,3]=>010101=>[2,2,2,1] [2,6,4,7,3,1,5]=>010110=>[2,2,1,2] [2,6,4,7,3,5,1]=>010101=>[2,2,2,1] [2,6,4,7,5,1,3]=>010110=>[2,2,1,2] [2,6,4,7,5,3,1]=>010111=>[2,2,1,1,1] [2,6,5,1,3,4,7]=>011000=>[2,1,4] [2,6,5,1,3,7,4]=>011001=>[2,1,3,1] [2,6,5,1,4,3,7]=>011010=>[2,1,2,2] [2,6,5,1,4,7,3]=>011001=>[2,1,3,1] [2,6,5,1,7,3,4]=>011010=>[2,1,2,2] [2,6,5,1,7,4,3]=>011011=>[2,1,2,1,1] [2,6,5,3,1,4,7]=>011100=>[2,1,1,3] [2,6,5,3,1,7,4]=>011101=>[2,1,1,2,1] [2,6,5,3,4,1,7]=>011010=>[2,1,2,2] [2,6,5,3,4,7,1]=>011001=>[2,1,3,1] [2,6,5,3,7,1,4]=>011010=>[2,1,2,2] [2,6,5,3,7,4,1]=>011011=>[2,1,2,1,1] [2,6,5,4,1,3,7]=>011100=>[2,1,1,3] [2,6,5,4,1,7,3]=>011101=>[2,1,1,2,1] [2,6,5,4,3,1,7]=>011110=>[2,1,1,1,2] [2,6,5,4,3,7,1]=>011101=>[2,1,1,2,1] [2,6,5,4,7,1,3]=>011010=>[2,1,2,2] [2,6,5,4,7,3,1]=>011011=>[2,1,2,1,1] [2,6,5,7,1,3,4]=>010100=>[2,2,3] [2,6,5,7,1,4,3]=>010101=>[2,2,2,1] [2,6,5,7,3,1,4]=>010110=>[2,2,1,2] [2,6,5,7,3,4,1]=>010101=>[2,2,2,1] [2,6,5,7,4,1,3]=>010110=>[2,2,1,2] [2,6,5,7,4,3,1]=>010111=>[2,2,1,1,1] [2,6,7,1,3,4,5]=>001000=>[3,4] [2,6,7,1,3,5,4]=>001001=>[3,3,1] [2,6,7,1,4,3,5]=>001010=>[3,2,2] [2,6,7,1,4,5,3]=>001001=>[3,3,1] [2,6,7,1,5,3,4]=>001010=>[3,2,2] [2,6,7,1,5,4,3]=>001011=>[3,2,1,1] [2,6,7,3,1,4,5]=>001100=>[3,1,3] [2,6,7,3,1,5,4]=>001101=>[3,1,2,1] [2,6,7,3,4,1,5]=>001010=>[3,2,2] [2,6,7,3,4,5,1]=>001001=>[3,3,1] [2,6,7,3,5,1,4]=>001010=>[3,2,2] [2,6,7,3,5,4,1]=>001011=>[3,2,1,1] [2,6,7,4,1,3,5]=>001100=>[3,1,3] [2,6,7,4,1,5,3]=>001101=>[3,1,2,1] [2,6,7,4,3,1,5]=>001110=>[3,1,1,2] [2,6,7,4,3,5,1]=>001101=>[3,1,2,1] [2,6,7,4,5,1,3]=>001010=>[3,2,2] [2,6,7,4,5,3,1]=>001011=>[3,2,1,1] [2,6,7,5,1,3,4]=>001100=>[3,1,3] [2,6,7,5,1,4,3]=>001101=>[3,1,2,1] [2,6,7,5,3,1,4]=>001110=>[3,1,1,2] [2,6,7,5,3,4,1]=>001101=>[3,1,2,1] [2,6,7,5,4,1,3]=>001110=>[3,1,1,2] [2,6,7,5,4,3,1]=>001111=>[3,1,1,1,1] [2,7,1,3,4,5,6]=>010000=>[2,5] [2,7,1,3,4,6,5]=>010001=>[2,4,1] [2,7,1,3,5,4,6]=>010010=>[2,3,2] [2,7,1,3,5,6,4]=>010001=>[2,4,1] [2,7,1,3,6,4,5]=>010010=>[2,3,2] [2,7,1,3,6,5,4]=>010011=>[2,3,1,1] [2,7,1,4,3,5,6]=>010100=>[2,2,3] [2,7,1,4,3,6,5]=>010101=>[2,2,2,1] [2,7,1,4,5,3,6]=>010010=>[2,3,2] [2,7,1,4,5,6,3]=>010001=>[2,4,1] [2,7,1,4,6,3,5]=>010010=>[2,3,2] [2,7,1,4,6,5,3]=>010011=>[2,3,1,1] [2,7,1,5,3,4,6]=>010100=>[2,2,3] [2,7,1,5,3,6,4]=>010101=>[2,2,2,1] [2,7,1,5,4,3,6]=>010110=>[2,2,1,2] [2,7,1,5,4,6,3]=>010101=>[2,2,2,1] [2,7,1,5,6,3,4]=>010010=>[2,3,2] [2,7,1,5,6,4,3]=>010011=>[2,3,1,1] [2,7,1,6,3,4,5]=>010100=>[2,2,3] [2,7,1,6,3,5,4]=>010101=>[2,2,2,1] [2,7,1,6,4,3,5]=>010110=>[2,2,1,2] [2,7,1,6,4,5,3]=>010101=>[2,2,2,1] [2,7,1,6,5,3,4]=>010110=>[2,2,1,2] [2,7,1,6,5,4,3]=>010111=>[2,2,1,1,1] [2,7,3,1,4,5,6]=>011000=>[2,1,4] [2,7,3,1,4,6,5]=>011001=>[2,1,3,1] [2,7,3,1,5,4,6]=>011010=>[2,1,2,2] [2,7,3,1,5,6,4]=>011001=>[2,1,3,1] [2,7,3,1,6,4,5]=>011010=>[2,1,2,2] [2,7,3,1,6,5,4]=>011011=>[2,1,2,1,1] [2,7,3,4,1,5,6]=>010100=>[2,2,3] [2,7,3,4,1,6,5]=>010101=>[2,2,2,1] [2,7,3,4,5,1,6]=>010010=>[2,3,2] [2,7,3,4,5,6,1]=>010001=>[2,4,1] [2,7,3,4,6,1,5]=>010010=>[2,3,2] [2,7,3,4,6,5,1]=>010011=>[2,3,1,1] [2,7,3,5,1,4,6]=>010100=>[2,2,3] [2,7,3,5,1,6,4]=>010101=>[2,2,2,1] [2,7,3,5,4,1,6]=>010110=>[2,2,1,2] [2,7,3,5,4,6,1]=>010101=>[2,2,2,1] [2,7,3,5,6,1,4]=>010010=>[2,3,2] [2,7,3,5,6,4,1]=>010011=>[2,3,1,1] [2,7,3,6,1,4,5]=>010100=>[2,2,3] [2,7,3,6,1,5,4]=>010101=>[2,2,2,1] [2,7,3,6,4,1,5]=>010110=>[2,2,1,2] [2,7,3,6,4,5,1]=>010101=>[2,2,2,1] [2,7,3,6,5,1,4]=>010110=>[2,2,1,2] [2,7,3,6,5,4,1]=>010111=>[2,2,1,1,1] [2,7,4,1,3,5,6]=>011000=>[2,1,4] [2,7,4,1,3,6,5]=>011001=>[2,1,3,1] [2,7,4,1,5,3,6]=>011010=>[2,1,2,2] [2,7,4,1,5,6,3]=>011001=>[2,1,3,1] [2,7,4,1,6,3,5]=>011010=>[2,1,2,2] [2,7,4,1,6,5,3]=>011011=>[2,1,2,1,1] [2,7,4,3,1,5,6]=>011100=>[2,1,1,3] [2,7,4,3,1,6,5]=>011101=>[2,1,1,2,1] [2,7,4,3,5,1,6]=>011010=>[2,1,2,2] [2,7,4,3,5,6,1]=>011001=>[2,1,3,1] [2,7,4,3,6,1,5]=>011010=>[2,1,2,2] [2,7,4,3,6,5,1]=>011011=>[2,1,2,1,1] [2,7,4,5,1,3,6]=>010100=>[2,2,3] [2,7,4,5,1,6,3]=>010101=>[2,2,2,1] [2,7,4,5,3,1,6]=>010110=>[2,2,1,2] [2,7,4,5,3,6,1]=>010101=>[2,2,2,1] [2,7,4,5,6,1,3]=>010010=>[2,3,2] [2,7,4,5,6,3,1]=>010011=>[2,3,1,1] [2,7,4,6,1,3,5]=>010100=>[2,2,3] [2,7,4,6,1,5,3]=>010101=>[2,2,2,1] [2,7,4,6,3,1,5]=>010110=>[2,2,1,2] [2,7,4,6,3,5,1]=>010101=>[2,2,2,1] [2,7,4,6,5,1,3]=>010110=>[2,2,1,2] [2,7,4,6,5,3,1]=>010111=>[2,2,1,1,1] [2,7,5,1,3,4,6]=>011000=>[2,1,4] [2,7,5,1,3,6,4]=>011001=>[2,1,3,1] [2,7,5,1,4,3,6]=>011010=>[2,1,2,2] [2,7,5,1,4,6,3]=>011001=>[2,1,3,1] [2,7,5,1,6,3,4]=>011010=>[2,1,2,2] [2,7,5,1,6,4,3]=>011011=>[2,1,2,1,1] [2,7,5,3,1,4,6]=>011100=>[2,1,1,3] [2,7,5,3,1,6,4]=>011101=>[2,1,1,2,1] [2,7,5,3,4,1,6]=>011010=>[2,1,2,2] [2,7,5,3,4,6,1]=>011001=>[2,1,3,1] [2,7,5,3,6,1,4]=>011010=>[2,1,2,2] [2,7,5,3,6,4,1]=>011011=>[2,1,2,1,1] [2,7,5,4,1,3,6]=>011100=>[2,1,1,3] [2,7,5,4,1,6,3]=>011101=>[2,1,1,2,1] [2,7,5,4,3,1,6]=>011110=>[2,1,1,1,2] [2,7,5,4,3,6,1]=>011101=>[2,1,1,2,1] [2,7,5,4,6,1,3]=>011010=>[2,1,2,2] [2,7,5,4,6,3,1]=>011011=>[2,1,2,1,1] [2,7,5,6,1,3,4]=>010100=>[2,2,3] [2,7,5,6,1,4,3]=>010101=>[2,2,2,1] [2,7,5,6,3,1,4]=>010110=>[2,2,1,2] [2,7,5,6,3,4,1]=>010101=>[2,2,2,1] [2,7,5,6,4,1,3]=>010110=>[2,2,1,2] [2,7,5,6,4,3,1]=>010111=>[2,2,1,1,1] [2,7,6,1,3,4,5]=>011000=>[2,1,4] [2,7,6,1,3,5,4]=>011001=>[2,1,3,1] [2,7,6,1,4,3,5]=>011010=>[2,1,2,2] [2,7,6,1,4,5,3]=>011001=>[2,1,3,1] [2,7,6,1,5,3,4]=>011010=>[2,1,2,2] [2,7,6,1,5,4,3]=>011011=>[2,1,2,1,1] [2,7,6,3,1,4,5]=>011100=>[2,1,1,3] [2,7,6,3,1,5,4]=>011101=>[2,1,1,2,1] [2,7,6,3,4,1,5]=>011010=>[2,1,2,2] [2,7,6,3,4,5,1]=>011001=>[2,1,3,1] [2,7,6,3,5,1,4]=>011010=>[2,1,2,2] [2,7,6,3,5,4,1]=>011011=>[2,1,2,1,1] [2,7,6,4,1,3,5]=>011100=>[2,1,1,3] [2,7,6,4,1,5,3]=>011101=>[2,1,1,2,1] [2,7,6,4,3,1,5]=>011110=>[2,1,1,1,2] [2,7,6,4,3,5,1]=>011101=>[2,1,1,2,1] [2,7,6,4,5,1,3]=>011010=>[2,1,2,2] [2,7,6,4,5,3,1]=>011011=>[2,1,2,1,1] [2,7,6,5,1,3,4]=>011100=>[2,1,1,3] [2,7,6,5,1,4,3]=>011101=>[2,1,1,2,1] [2,7,6,5,3,1,4]=>011110=>[2,1,1,1,2] [2,7,6,5,3,4,1]=>011101=>[2,1,1,2,1] [2,7,6,5,4,1,3]=>011110=>[2,1,1,1,2] [2,7,6,5,4,3,1]=>011111=>[2,1,1,1,1,1] [3,1,2,4,5,6,7]=>100000=>[1,6] [3,1,2,4,5,7,6]=>100001=>[1,5,1] [3,1,2,4,6,5,7]=>100010=>[1,4,2] [3,1,2,4,6,7,5]=>100001=>[1,5,1] [3,1,2,4,7,5,6]=>100010=>[1,4,2] [3,1,2,4,7,6,5]=>100011=>[1,4,1,1] [3,1,2,5,4,6,7]=>100100=>[1,3,3] [3,1,2,5,4,7,6]=>100101=>[1,3,2,1] [3,1,2,5,6,4,7]=>100010=>[1,4,2] [3,1,2,5,6,7,4]=>100001=>[1,5,1] [3,1,2,5,7,4,6]=>100010=>[1,4,2] [3,1,2,5,7,6,4]=>100011=>[1,4,1,1] [3,1,2,6,4,5,7]=>100100=>[1,3,3] [3,1,2,6,4,7,5]=>100101=>[1,3,2,1] [3,1,2,6,5,4,7]=>100110=>[1,3,1,2] [3,1,2,6,5,7,4]=>100101=>[1,3,2,1] [3,1,2,6,7,4,5]=>100010=>[1,4,2] [3,1,2,6,7,5,4]=>100011=>[1,4,1,1] [3,1,2,7,4,5,6]=>100100=>[1,3,3] [3,1,2,7,4,6,5]=>100101=>[1,3,2,1] [3,1,2,7,5,4,6]=>100110=>[1,3,1,2] [3,1,2,7,5,6,4]=>100101=>[1,3,2,1] [3,1,2,7,6,4,5]=>100110=>[1,3,1,2] [3,1,2,7,6,5,4]=>100111=>[1,3,1,1,1] [3,1,4,2,5,6,7]=>101000=>[1,2,4] [3,1,4,2,5,7,6]=>101001=>[1,2,3,1] [3,1,4,2,6,5,7]=>101010=>[1,2,2,2] [3,1,4,2,6,7,5]=>101001=>[1,2,3,1] [3,1,4,2,7,5,6]=>101010=>[1,2,2,2] [3,1,4,2,7,6,5]=>101011=>[1,2,2,1,1] [3,1,4,5,2,6,7]=>100100=>[1,3,3] [3,1,4,5,2,7,6]=>100101=>[1,3,2,1] [3,1,4,5,6,2,7]=>100010=>[1,4,2] [3,1,4,5,6,7,2]=>100001=>[1,5,1] [3,1,4,5,7,2,6]=>100010=>[1,4,2] [3,1,4,5,7,6,2]=>100011=>[1,4,1,1] [3,1,4,6,2,5,7]=>100100=>[1,3,3] [3,1,4,6,2,7,5]=>100101=>[1,3,2,1] [3,1,4,6,5,2,7]=>100110=>[1,3,1,2] [3,1,4,6,5,7,2]=>100101=>[1,3,2,1] [3,1,4,6,7,2,5]=>100010=>[1,4,2] [3,1,4,6,7,5,2]=>100011=>[1,4,1,1] [3,1,4,7,2,5,6]=>100100=>[1,3,3] [3,1,4,7,2,6,5]=>100101=>[1,3,2,1] [3,1,4,7,5,2,6]=>100110=>[1,3,1,2] [3,1,4,7,5,6,2]=>100101=>[1,3,2,1] [3,1,4,7,6,2,5]=>100110=>[1,3,1,2] [3,1,4,7,6,5,2]=>100111=>[1,3,1,1,1] [3,1,5,2,4,6,7]=>101000=>[1,2,4] [3,1,5,2,4,7,6]=>101001=>[1,2,3,1] [3,1,5,2,6,4,7]=>101010=>[1,2,2,2] [3,1,5,2,6,7,4]=>101001=>[1,2,3,1] [3,1,5,2,7,4,6]=>101010=>[1,2,2,2] [3,1,5,2,7,6,4]=>101011=>[1,2,2,1,1] [3,1,5,4,2,6,7]=>101100=>[1,2,1,3] [3,1,5,4,2,7,6]=>101101=>[1,2,1,2,1] [3,1,5,4,6,2,7]=>101010=>[1,2,2,2] [3,1,5,4,6,7,2]=>101001=>[1,2,3,1] [3,1,5,4,7,2,6]=>101010=>[1,2,2,2] [3,1,5,4,7,6,2]=>101011=>[1,2,2,1,1] [3,1,5,6,2,4,7]=>100100=>[1,3,3] [3,1,5,6,2,7,4]=>100101=>[1,3,2,1] [3,1,5,6,4,2,7]=>100110=>[1,3,1,2] [3,1,5,6,4,7,2]=>100101=>[1,3,2,1] [3,1,5,6,7,2,4]=>100010=>[1,4,2] [3,1,5,6,7,4,2]=>100011=>[1,4,1,1] [3,1,5,7,2,4,6]=>100100=>[1,3,3] [3,1,5,7,2,6,4]=>100101=>[1,3,2,1] [3,1,5,7,4,2,6]=>100110=>[1,3,1,2] [3,1,5,7,4,6,2]=>100101=>[1,3,2,1] [3,1,5,7,6,2,4]=>100110=>[1,3,1,2] [3,1,5,7,6,4,2]=>100111=>[1,3,1,1,1] [3,1,6,2,4,5,7]=>101000=>[1,2,4] [3,1,6,2,4,7,5]=>101001=>[1,2,3,1] [3,1,6,2,5,4,7]=>101010=>[1,2,2,2] [3,1,6,2,5,7,4]=>101001=>[1,2,3,1] [3,1,6,2,7,4,5]=>101010=>[1,2,2,2] [3,1,6,2,7,5,4]=>101011=>[1,2,2,1,1] [3,1,6,4,2,5,7]=>101100=>[1,2,1,3] [3,1,6,4,2,7,5]=>101101=>[1,2,1,2,1] [3,1,6,4,5,2,7]=>101010=>[1,2,2,2] [3,1,6,4,5,7,2]=>101001=>[1,2,3,1] [3,1,6,4,7,2,5]=>101010=>[1,2,2,2] [3,1,6,4,7,5,2]=>101011=>[1,2,2,1,1] [3,1,6,5,2,4,7]=>101100=>[1,2,1,3] [3,1,6,5,2,7,4]=>101101=>[1,2,1,2,1] [3,1,6,5,4,2,7]=>101110=>[1,2,1,1,2] [3,1,6,5,4,7,2]=>101101=>[1,2,1,2,1] [3,1,6,5,7,2,4]=>101010=>[1,2,2,2] [3,1,6,5,7,4,2]=>101011=>[1,2,2,1,1] [3,1,6,7,2,4,5]=>100100=>[1,3,3] [3,1,6,7,2,5,4]=>100101=>[1,3,2,1] [3,1,6,7,4,2,5]=>100110=>[1,3,1,2] [3,1,6,7,4,5,2]=>100101=>[1,3,2,1] [3,1,6,7,5,2,4]=>100110=>[1,3,1,2] [3,1,6,7,5,4,2]=>100111=>[1,3,1,1,1] [3,1,7,2,4,5,6]=>101000=>[1,2,4] [3,1,7,2,4,6,5]=>101001=>[1,2,3,1] [3,1,7,2,5,4,6]=>101010=>[1,2,2,2] [3,1,7,2,5,6,4]=>101001=>[1,2,3,1] [3,1,7,2,6,4,5]=>101010=>[1,2,2,2] [3,1,7,2,6,5,4]=>101011=>[1,2,2,1,1] [3,1,7,4,2,5,6]=>101100=>[1,2,1,3] [3,1,7,4,2,6,5]=>101101=>[1,2,1,2,1] [3,1,7,4,5,2,6]=>101010=>[1,2,2,2] [3,1,7,4,5,6,2]=>101001=>[1,2,3,1] [3,1,7,4,6,2,5]=>101010=>[1,2,2,2] [3,1,7,4,6,5,2]=>101011=>[1,2,2,1,1] [3,1,7,5,2,4,6]=>101100=>[1,2,1,3] [3,1,7,5,2,6,4]=>101101=>[1,2,1,2,1] [3,1,7,5,4,2,6]=>101110=>[1,2,1,1,2] [3,1,7,5,4,6,2]=>101101=>[1,2,1,2,1] [3,1,7,5,6,2,4]=>101010=>[1,2,2,2] [3,1,7,5,6,4,2]=>101011=>[1,2,2,1,1] [3,1,7,6,2,4,5]=>101100=>[1,2,1,3] [3,1,7,6,2,5,4]=>101101=>[1,2,1,2,1] [3,1,7,6,4,2,5]=>101110=>[1,2,1,1,2] [3,1,7,6,4,5,2]=>101101=>[1,2,1,2,1] [3,1,7,6,5,2,4]=>101110=>[1,2,1,1,2] [3,1,7,6,5,4,2]=>101111=>[1,2,1,1,1,1] [3,2,1,4,5,6,7]=>110000=>[1,1,5] [3,2,1,4,5,7,6]=>110001=>[1,1,4,1] [3,2,1,4,6,5,7]=>110010=>[1,1,3,2] [3,2,1,4,6,7,5]=>110001=>[1,1,4,1] [3,2,1,4,7,5,6]=>110010=>[1,1,3,2] [3,2,1,4,7,6,5]=>110011=>[1,1,3,1,1] [3,2,1,5,4,6,7]=>110100=>[1,1,2,3] [3,2,1,5,4,7,6]=>110101=>[1,1,2,2,1] [3,2,1,5,6,4,7]=>110010=>[1,1,3,2] [3,2,1,5,6,7,4]=>110001=>[1,1,4,1] [3,2,1,5,7,4,6]=>110010=>[1,1,3,2] [3,2,1,5,7,6,4]=>110011=>[1,1,3,1,1] [3,2,1,6,4,5,7]=>110100=>[1,1,2,3] [3,2,1,6,4,7,5]=>110101=>[1,1,2,2,1] [3,2,1,6,5,4,7]=>110110=>[1,1,2,1,2] [3,2,1,6,5,7,4]=>110101=>[1,1,2,2,1] [3,2,1,6,7,4,5]=>110010=>[1,1,3,2] [3,2,1,6,7,5,4]=>110011=>[1,1,3,1,1] [3,2,1,7,4,5,6]=>110100=>[1,1,2,3] [3,2,1,7,4,6,5]=>110101=>[1,1,2,2,1] [3,2,1,7,5,4,6]=>110110=>[1,1,2,1,2] [3,2,1,7,5,6,4]=>110101=>[1,1,2,2,1] [3,2,1,7,6,4,5]=>110110=>[1,1,2,1,2] [3,2,1,7,6,5,4]=>110111=>[1,1,2,1,1,1] [3,2,4,1,5,6,7]=>101000=>[1,2,4] [3,2,4,1,5,7,6]=>101001=>[1,2,3,1] [3,2,4,1,6,5,7]=>101010=>[1,2,2,2] [3,2,4,1,6,7,5]=>101001=>[1,2,3,1] [3,2,4,1,7,5,6]=>101010=>[1,2,2,2] [3,2,4,1,7,6,5]=>101011=>[1,2,2,1,1] [3,2,4,5,1,6,7]=>100100=>[1,3,3] [3,2,4,5,1,7,6]=>100101=>[1,3,2,1] [3,2,4,5,6,1,7]=>100010=>[1,4,2] [3,2,4,5,6,7,1]=>100001=>[1,5,1] [3,2,4,5,7,1,6]=>100010=>[1,4,2] [3,2,4,5,7,6,1]=>100011=>[1,4,1,1] [3,2,4,6,1,5,7]=>100100=>[1,3,3] [3,2,4,6,1,7,5]=>100101=>[1,3,2,1] [3,2,4,6,5,1,7]=>100110=>[1,3,1,2] [3,2,4,6,5,7,1]=>100101=>[1,3,2,1] [3,2,4,6,7,1,5]=>100010=>[1,4,2] [3,2,4,6,7,5,1]=>100011=>[1,4,1,1] [3,2,4,7,1,5,6]=>100100=>[1,3,3] [3,2,4,7,1,6,5]=>100101=>[1,3,2,1] [3,2,4,7,5,1,6]=>100110=>[1,3,1,2] [3,2,4,7,5,6,1]=>100101=>[1,3,2,1] [3,2,4,7,6,1,5]=>100110=>[1,3,1,2] [3,2,4,7,6,5,1]=>100111=>[1,3,1,1,1] [3,2,5,1,4,6,7]=>101000=>[1,2,4] [3,2,5,1,4,7,6]=>101001=>[1,2,3,1] [3,2,5,1,6,4,7]=>101010=>[1,2,2,2] [3,2,5,1,6,7,4]=>101001=>[1,2,3,1] [3,2,5,1,7,4,6]=>101010=>[1,2,2,2] [3,2,5,1,7,6,4]=>101011=>[1,2,2,1,1] [3,2,5,4,1,6,7]=>101100=>[1,2,1,3] [3,2,5,4,1,7,6]=>101101=>[1,2,1,2,1] [3,2,5,4,6,1,7]=>101010=>[1,2,2,2] [3,2,5,4,6,7,1]=>101001=>[1,2,3,1] [3,2,5,4,7,1,6]=>101010=>[1,2,2,2] [3,2,5,4,7,6,1]=>101011=>[1,2,2,1,1] [3,2,5,6,1,4,7]=>100100=>[1,3,3] [3,2,5,6,1,7,4]=>100101=>[1,3,2,1] [3,2,5,6,4,1,7]=>100110=>[1,3,1,2] [3,2,5,6,4,7,1]=>100101=>[1,3,2,1] [3,2,5,6,7,1,4]=>100010=>[1,4,2] [3,2,5,6,7,4,1]=>100011=>[1,4,1,1] [3,2,5,7,1,4,6]=>100100=>[1,3,3] [3,2,5,7,1,6,4]=>100101=>[1,3,2,1] [3,2,5,7,4,1,6]=>100110=>[1,3,1,2] [3,2,5,7,4,6,1]=>100101=>[1,3,2,1] [3,2,5,7,6,1,4]=>100110=>[1,3,1,2] [3,2,5,7,6,4,1]=>100111=>[1,3,1,1,1] [3,2,6,1,4,5,7]=>101000=>[1,2,4] [3,2,6,1,4,7,5]=>101001=>[1,2,3,1] [3,2,6,1,5,4,7]=>101010=>[1,2,2,2] [3,2,6,1,5,7,4]=>101001=>[1,2,3,1] [3,2,6,1,7,4,5]=>101010=>[1,2,2,2] [3,2,6,1,7,5,4]=>101011=>[1,2,2,1,1] [3,2,6,4,1,5,7]=>101100=>[1,2,1,3] [3,2,6,4,1,7,5]=>101101=>[1,2,1,2,1] [3,2,6,4,5,1,7]=>101010=>[1,2,2,2] [3,2,6,4,5,7,1]=>101001=>[1,2,3,1] [3,2,6,4,7,1,5]=>101010=>[1,2,2,2] [3,2,6,4,7,5,1]=>101011=>[1,2,2,1,1] [3,2,6,5,1,4,7]=>101100=>[1,2,1,3] [3,2,6,5,1,7,4]=>101101=>[1,2,1,2,1] [3,2,6,5,4,1,7]=>101110=>[1,2,1,1,2] [3,2,6,5,4,7,1]=>101101=>[1,2,1,2,1] [3,2,6,5,7,1,4]=>101010=>[1,2,2,2] [3,2,6,5,7,4,1]=>101011=>[1,2,2,1,1] [3,2,6,7,1,4,5]=>100100=>[1,3,3] [3,2,6,7,1,5,4]=>100101=>[1,3,2,1] [3,2,6,7,4,1,5]=>100110=>[1,3,1,2] [3,2,6,7,4,5,1]=>100101=>[1,3,2,1] [3,2,6,7,5,1,4]=>100110=>[1,3,1,2] [3,2,6,7,5,4,1]=>100111=>[1,3,1,1,1] [3,2,7,1,4,5,6]=>101000=>[1,2,4] [3,2,7,1,4,6,5]=>101001=>[1,2,3,1] [3,2,7,1,5,4,6]=>101010=>[1,2,2,2] [3,2,7,1,5,6,4]=>101001=>[1,2,3,1] [3,2,7,1,6,4,5]=>101010=>[1,2,2,2] [3,2,7,1,6,5,4]=>101011=>[1,2,2,1,1] [3,2,7,4,1,5,6]=>101100=>[1,2,1,3] [3,2,7,4,1,6,5]=>101101=>[1,2,1,2,1] [3,2,7,4,5,1,6]=>101010=>[1,2,2,2] [3,2,7,4,5,6,1]=>101001=>[1,2,3,1] [3,2,7,4,6,1,5]=>101010=>[1,2,2,2] [3,2,7,4,6,5,1]=>101011=>[1,2,2,1,1] [3,2,7,5,1,4,6]=>101100=>[1,2,1,3] [3,2,7,5,1,6,4]=>101101=>[1,2,1,2,1] [3,2,7,5,4,1,6]=>101110=>[1,2,1,1,2] [3,2,7,5,4,6,1]=>101101=>[1,2,1,2,1] [3,2,7,5,6,1,4]=>101010=>[1,2,2,2] [3,2,7,5,6,4,1]=>101011=>[1,2,2,1,1] [3,2,7,6,1,4,5]=>101100=>[1,2,1,3] [3,2,7,6,1,5,4]=>101101=>[1,2,1,2,1] [3,2,7,6,4,1,5]=>101110=>[1,2,1,1,2] [3,2,7,6,4,5,1]=>101101=>[1,2,1,2,1] [3,2,7,6,5,1,4]=>101110=>[1,2,1,1,2] [3,2,7,6,5,4,1]=>101111=>[1,2,1,1,1,1] [3,4,1,2,5,6,7]=>010000=>[2,5] [3,4,1,2,5,7,6]=>010001=>[2,4,1] [3,4,1,2,6,5,7]=>010010=>[2,3,2] [3,4,1,2,6,7,5]=>010001=>[2,4,1] [3,4,1,2,7,5,6]=>010010=>[2,3,2] [3,4,1,2,7,6,5]=>010011=>[2,3,1,1] [3,4,1,5,2,6,7]=>010100=>[2,2,3] [3,4,1,5,2,7,6]=>010101=>[2,2,2,1] [3,4,1,5,6,2,7]=>010010=>[2,3,2] [3,4,1,5,6,7,2]=>010001=>[2,4,1] [3,4,1,5,7,2,6]=>010010=>[2,3,2] [3,4,1,5,7,6,2]=>010011=>[2,3,1,1] [3,4,1,6,2,5,7]=>010100=>[2,2,3] [3,4,1,6,2,7,5]=>010101=>[2,2,2,1] [3,4,1,6,5,2,7]=>010110=>[2,2,1,2] [3,4,1,6,5,7,2]=>010101=>[2,2,2,1] [3,4,1,6,7,2,5]=>010010=>[2,3,2] [3,4,1,6,7,5,2]=>010011=>[2,3,1,1] [3,4,1,7,2,5,6]=>010100=>[2,2,3] [3,4,1,7,2,6,5]=>010101=>[2,2,2,1] [3,4,1,7,5,2,6]=>010110=>[2,2,1,2] [3,4,1,7,5,6,2]=>010101=>[2,2,2,1] [3,4,1,7,6,2,5]=>010110=>[2,2,1,2] [3,4,1,7,6,5,2]=>010111=>[2,2,1,1,1] [3,4,2,1,5,6,7]=>011000=>[2,1,4] [3,4,2,1,5,7,6]=>011001=>[2,1,3,1] [3,4,2,1,6,5,7]=>011010=>[2,1,2,2] [3,4,2,1,6,7,5]=>011001=>[2,1,3,1] [3,4,2,1,7,5,6]=>011010=>[2,1,2,2] [3,4,2,1,7,6,5]=>011011=>[2,1,2,1,1] [3,4,2,5,1,6,7]=>010100=>[2,2,3] [3,4,2,5,1,7,6]=>010101=>[2,2,2,1] [3,4,2,5,6,1,7]=>010010=>[2,3,2] [3,4,2,5,6,7,1]=>010001=>[2,4,1] [3,4,2,5,7,1,6]=>010010=>[2,3,2] [3,4,2,5,7,6,1]=>010011=>[2,3,1,1] [3,4,2,6,1,5,7]=>010100=>[2,2,3] [3,4,2,6,1,7,5]=>010101=>[2,2,2,1] [3,4,2,6,5,1,7]=>010110=>[2,2,1,2] [3,4,2,6,5,7,1]=>010101=>[2,2,2,1] [3,4,2,6,7,1,5]=>010010=>[2,3,2] [3,4,2,6,7,5,1]=>010011=>[2,3,1,1] [3,4,2,7,1,5,6]=>010100=>[2,2,3] [3,4,2,7,1,6,5]=>010101=>[2,2,2,1] [3,4,2,7,5,1,6]=>010110=>[2,2,1,2] [3,4,2,7,5,6,1]=>010101=>[2,2,2,1] [3,4,2,7,6,1,5]=>010110=>[2,2,1,2] [3,4,2,7,6,5,1]=>010111=>[2,2,1,1,1] [3,4,5,1,2,6,7]=>001000=>[3,4] [3,4,5,1,2,7,6]=>001001=>[3,3,1] [3,4,5,1,6,2,7]=>001010=>[3,2,2] [3,4,5,1,6,7,2]=>001001=>[3,3,1] [3,4,5,1,7,2,6]=>001010=>[3,2,2] [3,4,5,1,7,6,2]=>001011=>[3,2,1,1] [3,4,5,2,1,6,7]=>001100=>[3,1,3] [3,4,5,2,1,7,6]=>001101=>[3,1,2,1] [3,4,5,2,6,1,7]=>001010=>[3,2,2] [3,4,5,2,6,7,1]=>001001=>[3,3,1] [3,4,5,2,7,1,6]=>001010=>[3,2,2] [3,4,5,2,7,6,1]=>001011=>[3,2,1,1] [3,4,5,6,1,2,7]=>000100=>[4,3] [3,4,5,6,1,7,2]=>000101=>[4,2,1] [3,4,5,6,2,1,7]=>000110=>[4,1,2] [3,4,5,6,2,7,1]=>000101=>[4,2,1] [3,4,5,6,7,1,2]=>000010=>[5,2] [3,4,5,6,7,2,1]=>000011=>[5,1,1] [3,4,5,7,1,2,6]=>000100=>[4,3] [3,4,5,7,1,6,2]=>000101=>[4,2,1] [3,4,5,7,2,1,6]=>000110=>[4,1,2] [3,4,5,7,2,6,1]=>000101=>[4,2,1] [3,4,5,7,6,1,2]=>000110=>[4,1,2] [3,4,5,7,6,2,1]=>000111=>[4,1,1,1] [3,4,6,1,2,5,7]=>001000=>[3,4] [3,4,6,1,2,7,5]=>001001=>[3,3,1] [3,4,6,1,5,2,7]=>001010=>[3,2,2] [3,4,6,1,5,7,2]=>001001=>[3,3,1] [3,4,6,1,7,2,5]=>001010=>[3,2,2] [3,4,6,1,7,5,2]=>001011=>[3,2,1,1] [3,4,6,2,1,5,7]=>001100=>[3,1,3] [3,4,6,2,1,7,5]=>001101=>[3,1,2,1] [3,4,6,2,5,1,7]=>001010=>[3,2,2] [3,4,6,2,5,7,1]=>001001=>[3,3,1] [3,4,6,2,7,1,5]=>001010=>[3,2,2] [3,4,6,2,7,5,1]=>001011=>[3,2,1,1] [3,4,6,5,1,2,7]=>001100=>[3,1,3] [3,4,6,5,1,7,2]=>001101=>[3,1,2,1] [3,4,6,5,2,1,7]=>001110=>[3,1,1,2] [3,4,6,5,2,7,1]=>001101=>[3,1,2,1] [3,4,6,5,7,1,2]=>001010=>[3,2,2] [3,4,6,5,7,2,1]=>001011=>[3,2,1,1] [3,4,6,7,1,2,5]=>000100=>[4,3] [3,4,6,7,1,5,2]=>000101=>[4,2,1] [3,4,6,7,2,1,5]=>000110=>[4,1,2] [3,4,6,7,2,5,1]=>000101=>[4,2,1] [3,4,6,7,5,1,2]=>000110=>[4,1,2] [3,4,6,7,5,2,1]=>000111=>[4,1,1,1] [3,4,7,1,2,5,6]=>001000=>[3,4] [3,4,7,1,2,6,5]=>001001=>[3,3,1] [3,4,7,1,5,2,6]=>001010=>[3,2,2] [3,4,7,1,5,6,2]=>001001=>[3,3,1] [3,4,7,1,6,2,5]=>001010=>[3,2,2] [3,4,7,1,6,5,2]=>001011=>[3,2,1,1] [3,4,7,2,1,5,6]=>001100=>[3,1,3] [3,4,7,2,1,6,5]=>001101=>[3,1,2,1] [3,4,7,2,5,1,6]=>001010=>[3,2,2] [3,4,7,2,5,6,1]=>001001=>[3,3,1] [3,4,7,2,6,1,5]=>001010=>[3,2,2] [3,4,7,2,6,5,1]=>001011=>[3,2,1,1] [3,4,7,5,1,2,6]=>001100=>[3,1,3] [3,4,7,5,1,6,2]=>001101=>[3,1,2,1] [3,4,7,5,2,1,6]=>001110=>[3,1,1,2] [3,4,7,5,2,6,1]=>001101=>[3,1,2,1] [3,4,7,5,6,1,2]=>001010=>[3,2,2] [3,4,7,5,6,2,1]=>001011=>[3,2,1,1] [3,4,7,6,1,2,5]=>001100=>[3,1,3] [3,4,7,6,1,5,2]=>001101=>[3,1,2,1] [3,4,7,6,2,1,5]=>001110=>[3,1,1,2] [3,4,7,6,2,5,1]=>001101=>[3,1,2,1] [3,4,7,6,5,1,2]=>001110=>[3,1,1,2] [3,4,7,6,5,2,1]=>001111=>[3,1,1,1,1] [3,5,1,2,4,6,7]=>010000=>[2,5] [3,5,1,2,4,7,6]=>010001=>[2,4,1] [3,5,1,2,6,4,7]=>010010=>[2,3,2] [3,5,1,2,6,7,4]=>010001=>[2,4,1] [3,5,1,2,7,4,6]=>010010=>[2,3,2] [3,5,1,2,7,6,4]=>010011=>[2,3,1,1] [3,5,1,4,2,6,7]=>010100=>[2,2,3] [3,5,1,4,2,7,6]=>010101=>[2,2,2,1] [3,5,1,4,6,2,7]=>010010=>[2,3,2] [3,5,1,4,6,7,2]=>010001=>[2,4,1] [3,5,1,4,7,2,6]=>010010=>[2,3,2] [3,5,1,4,7,6,2]=>010011=>[2,3,1,1] [3,5,1,6,2,4,7]=>010100=>[2,2,3] [3,5,1,6,2,7,4]=>010101=>[2,2,2,1] [3,5,1,6,4,2,7]=>010110=>[2,2,1,2] [3,5,1,6,4,7,2]=>010101=>[2,2,2,1] [3,5,1,6,7,2,4]=>010010=>[2,3,2] [3,5,1,6,7,4,2]=>010011=>[2,3,1,1] [3,5,1,7,2,4,6]=>010100=>[2,2,3] [3,5,1,7,2,6,4]=>010101=>[2,2,2,1] [3,5,1,7,4,2,6]=>010110=>[2,2,1,2] [3,5,1,7,4,6,2]=>010101=>[2,2,2,1] [3,5,1,7,6,2,4]=>010110=>[2,2,1,2] [3,5,1,7,6,4,2]=>010111=>[2,2,1,1,1] [3,5,2,1,4,6,7]=>011000=>[2,1,4] [3,5,2,1,4,7,6]=>011001=>[2,1,3,1] [3,5,2,1,6,4,7]=>011010=>[2,1,2,2] [3,5,2,1,6,7,4]=>011001=>[2,1,3,1] [3,5,2,1,7,4,6]=>011010=>[2,1,2,2] [3,5,2,1,7,6,4]=>011011=>[2,1,2,1,1] [3,5,2,4,1,6,7]=>010100=>[2,2,3] [3,5,2,4,1,7,6]=>010101=>[2,2,2,1] [3,5,2,4,6,1,7]=>010010=>[2,3,2] [3,5,2,4,6,7,1]=>010001=>[2,4,1] [3,5,2,4,7,1,6]=>010010=>[2,3,2] [3,5,2,4,7,6,1]=>010011=>[2,3,1,1] [3,5,2,6,1,4,7]=>010100=>[2,2,3] [3,5,2,6,1,7,4]=>010101=>[2,2,2,1] [3,5,2,6,4,1,7]=>010110=>[2,2,1,2] [3,5,2,6,4,7,1]=>010101=>[2,2,2,1] [3,5,2,6,7,1,4]=>010010=>[2,3,2] [3,5,2,6,7,4,1]=>010011=>[2,3,1,1] [3,5,2,7,1,4,6]=>010100=>[2,2,3] [3,5,2,7,1,6,4]=>010101=>[2,2,2,1] [3,5,2,7,4,1,6]=>010110=>[2,2,1,2] [3,5,2,7,4,6,1]=>010101=>[2,2,2,1] [3,5,2,7,6,1,4]=>010110=>[2,2,1,2] [3,5,2,7,6,4,1]=>010111=>[2,2,1,1,1] [3,5,4,1,2,6,7]=>011000=>[2,1,4] [3,5,4,1,2,7,6]=>011001=>[2,1,3,1] [3,5,4,1,6,2,7]=>011010=>[2,1,2,2] [3,5,4,1,6,7,2]=>011001=>[2,1,3,1] [3,5,4,1,7,2,6]=>011010=>[2,1,2,2] [3,5,4,1,7,6,2]=>011011=>[2,1,2,1,1] [3,5,4,2,1,6,7]=>011100=>[2,1,1,3] [3,5,4,2,1,7,6]=>011101=>[2,1,1,2,1] [3,5,4,2,6,1,7]=>011010=>[2,1,2,2] [3,5,4,2,6,7,1]=>011001=>[2,1,3,1] [3,5,4,2,7,1,6]=>011010=>[2,1,2,2] [3,5,4,2,7,6,1]=>011011=>[2,1,2,1,1] [3,5,4,6,1,2,7]=>010100=>[2,2,3] [3,5,4,6,1,7,2]=>010101=>[2,2,2,1] [3,5,4,6,2,1,7]=>010110=>[2,2,1,2] [3,5,4,6,2,7,1]=>010101=>[2,2,2,1] [3,5,4,6,7,1,2]=>010010=>[2,3,2] [3,5,4,6,7,2,1]=>010011=>[2,3,1,1] [3,5,4,7,1,2,6]=>010100=>[2,2,3] [3,5,4,7,1,6,2]=>010101=>[2,2,2,1] [3,5,4,7,2,1,6]=>010110=>[2,2,1,2] [3,5,4,7,2,6,1]=>010101=>[2,2,2,1] [3,5,4,7,6,1,2]=>010110=>[2,2,1,2] [3,5,4,7,6,2,1]=>010111=>[2,2,1,1,1] [3,5,6,1,2,4,7]=>001000=>[3,4] [3,5,6,1,2,7,4]=>001001=>[3,3,1] [3,5,6,1,4,2,7]=>001010=>[3,2,2] [3,5,6,1,4,7,2]=>001001=>[3,3,1] [3,5,6,1,7,2,4]=>001010=>[3,2,2] [3,5,6,1,7,4,2]=>001011=>[3,2,1,1] [3,5,6,2,1,4,7]=>001100=>[3,1,3] [3,5,6,2,1,7,4]=>001101=>[3,1,2,1] [3,5,6,2,4,1,7]=>001010=>[3,2,2] [3,5,6,2,4,7,1]=>001001=>[3,3,1] [3,5,6,2,7,1,4]=>001010=>[3,2,2] [3,5,6,2,7,4,1]=>001011=>[3,2,1,1] [3,5,6,4,1,2,7]=>001100=>[3,1,3] [3,5,6,4,1,7,2]=>001101=>[3,1,2,1] [3,5,6,4,2,1,7]=>001110=>[3,1,1,2] [3,5,6,4,2,7,1]=>001101=>[3,1,2,1] [3,5,6,4,7,1,2]=>001010=>[3,2,2] [3,5,6,4,7,2,1]=>001011=>[3,2,1,1] [3,5,6,7,1,2,4]=>000100=>[4,3] [3,5,6,7,1,4,2]=>000101=>[4,2,1] [3,5,6,7,2,1,4]=>000110=>[4,1,2] [3,5,6,7,2,4,1]=>000101=>[4,2,1] [3,5,6,7,4,1,2]=>000110=>[4,1,2] [3,5,6,7,4,2,1]=>000111=>[4,1,1,1] [3,5,7,1,2,4,6]=>001000=>[3,4] [3,5,7,1,2,6,4]=>001001=>[3,3,1] [3,5,7,1,4,2,6]=>001010=>[3,2,2] [3,5,7,1,4,6,2]=>001001=>[3,3,1] [3,5,7,1,6,2,4]=>001010=>[3,2,2] [3,5,7,1,6,4,2]=>001011=>[3,2,1,1] [3,5,7,2,1,4,6]=>001100=>[3,1,3] [3,5,7,2,1,6,4]=>001101=>[3,1,2,1] [3,5,7,2,4,1,6]=>001010=>[3,2,2] [3,5,7,2,4,6,1]=>001001=>[3,3,1] [3,5,7,2,6,1,4]=>001010=>[3,2,2] [3,5,7,2,6,4,1]=>001011=>[3,2,1,1] [3,5,7,4,1,2,6]=>001100=>[3,1,3] [3,5,7,4,1,6,2]=>001101=>[3,1,2,1] [3,5,7,4,2,1,6]=>001110=>[3,1,1,2] [3,5,7,4,2,6,1]=>001101=>[3,1,2,1] [3,5,7,4,6,1,2]=>001010=>[3,2,2] [3,5,7,4,6,2,1]=>001011=>[3,2,1,1] [3,5,7,6,1,2,4]=>001100=>[3,1,3] [3,5,7,6,1,4,2]=>001101=>[3,1,2,1] [3,5,7,6,2,1,4]=>001110=>[3,1,1,2] [3,5,7,6,2,4,1]=>001101=>[3,1,2,1] [3,5,7,6,4,1,2]=>001110=>[3,1,1,2] [3,5,7,6,4,2,1]=>001111=>[3,1,1,1,1] [3,6,1,2,4,5,7]=>010000=>[2,5] [3,6,1,2,4,7,5]=>010001=>[2,4,1] [3,6,1,2,5,4,7]=>010010=>[2,3,2] [3,6,1,2,5,7,4]=>010001=>[2,4,1] [3,6,1,2,7,4,5]=>010010=>[2,3,2] [3,6,1,2,7,5,4]=>010011=>[2,3,1,1] [3,6,1,4,2,5,7]=>010100=>[2,2,3] [3,6,1,4,2,7,5]=>010101=>[2,2,2,1] [3,6,1,4,5,2,7]=>010010=>[2,3,2] [3,6,1,4,5,7,2]=>010001=>[2,4,1] [3,6,1,4,7,2,5]=>010010=>[2,3,2] [3,6,1,4,7,5,2]=>010011=>[2,3,1,1] [3,6,1,5,2,4,7]=>010100=>[2,2,3] [3,6,1,5,2,7,4]=>010101=>[2,2,2,1] [3,6,1,5,4,2,7]=>010110=>[2,2,1,2] [3,6,1,5,4,7,2]=>010101=>[2,2,2,1] [3,6,1,5,7,2,4]=>010010=>[2,3,2] [3,6,1,5,7,4,2]=>010011=>[2,3,1,1] [3,6,1,7,2,4,5]=>010100=>[2,2,3] [3,6,1,7,2,5,4]=>010101=>[2,2,2,1] [3,6,1,7,4,2,5]=>010110=>[2,2,1,2] [3,6,1,7,4,5,2]=>010101=>[2,2,2,1] [3,6,1,7,5,2,4]=>010110=>[2,2,1,2] [3,6,1,7,5,4,2]=>010111=>[2,2,1,1,1] [3,6,2,1,4,5,7]=>011000=>[2,1,4] [3,6,2,1,4,7,5]=>011001=>[2,1,3,1] [3,6,2,1,5,4,7]=>011010=>[2,1,2,2] [3,6,2,1,5,7,4]=>011001=>[2,1,3,1] [3,6,2,1,7,4,5]=>011010=>[2,1,2,2] [3,6,2,1,7,5,4]=>011011=>[2,1,2,1,1] [3,6,2,4,1,5,7]=>010100=>[2,2,3] [3,6,2,4,1,7,5]=>010101=>[2,2,2,1] [3,6,2,4,5,1,7]=>010010=>[2,3,2] [3,6,2,4,5,7,1]=>010001=>[2,4,1] [3,6,2,4,7,1,5]=>010010=>[2,3,2] [3,6,2,4,7,5,1]=>010011=>[2,3,1,1] [3,6,2,5,1,4,7]=>010100=>[2,2,3] [3,6,2,5,1,7,4]=>010101=>[2,2,2,1] [3,6,2,5,4,1,7]=>010110=>[2,2,1,2] [3,6,2,5,4,7,1]=>010101=>[2,2,2,1] [3,6,2,5,7,1,4]=>010010=>[2,3,2] [3,6,2,5,7,4,1]=>010011=>[2,3,1,1] [3,6,2,7,1,4,5]=>010100=>[2,2,3] [3,6,2,7,1,5,4]=>010101=>[2,2,2,1] [3,6,2,7,4,1,5]=>010110=>[2,2,1,2] [3,6,2,7,4,5,1]=>010101=>[2,2,2,1] [3,6,2,7,5,1,4]=>010110=>[2,2,1,2] [3,6,2,7,5,4,1]=>010111=>[2,2,1,1,1] [3,6,4,1,2,5,7]=>011000=>[2,1,4] [3,6,4,1,2,7,5]=>011001=>[2,1,3,1] [3,6,4,1,5,2,7]=>011010=>[2,1,2,2] [3,6,4,1,5,7,2]=>011001=>[2,1,3,1] [3,6,4,1,7,2,5]=>011010=>[2,1,2,2] [3,6,4,1,7,5,2]=>011011=>[2,1,2,1,1] [3,6,4,2,1,5,7]=>011100=>[2,1,1,3] [3,6,4,2,1,7,5]=>011101=>[2,1,1,2,1] [3,6,4,2,5,1,7]=>011010=>[2,1,2,2] [3,6,4,2,5,7,1]=>011001=>[2,1,3,1] [3,6,4,2,7,1,5]=>011010=>[2,1,2,2] [3,6,4,2,7,5,1]=>011011=>[2,1,2,1,1] [3,6,4,5,1,2,7]=>010100=>[2,2,3] [3,6,4,5,1,7,2]=>010101=>[2,2,2,1] [3,6,4,5,2,1,7]=>010110=>[2,2,1,2] [3,6,4,5,2,7,1]=>010101=>[2,2,2,1] [3,6,4,5,7,1,2]=>010010=>[2,3,2] [3,6,4,5,7,2,1]=>010011=>[2,3,1,1] [3,6,4,7,1,2,5]=>010100=>[2,2,3] [3,6,4,7,1,5,2]=>010101=>[2,2,2,1] [3,6,4,7,2,1,5]=>010110=>[2,2,1,2] [3,6,4,7,2,5,1]=>010101=>[2,2,2,1] [3,6,4,7,5,1,2]=>010110=>[2,2,1,2] [3,6,4,7,5,2,1]=>010111=>[2,2,1,1,1] [3,6,5,1,2,4,7]=>011000=>[2,1,4] [3,6,5,1,2,7,4]=>011001=>[2,1,3,1] [3,6,5,1,4,2,7]=>011010=>[2,1,2,2] [3,6,5,1,4,7,2]=>011001=>[2,1,3,1] [3,6,5,1,7,2,4]=>011010=>[2,1,2,2] [3,6,5,1,7,4,2]=>011011=>[2,1,2,1,1] [3,6,5,2,1,4,7]=>011100=>[2,1,1,3] [3,6,5,2,1,7,4]=>011101=>[2,1,1,2,1] [3,6,5,2,4,1,7]=>011010=>[2,1,2,2] [3,6,5,2,4,7,1]=>011001=>[2,1,3,1] [3,6,5,2,7,1,4]=>011010=>[2,1,2,2] [3,6,5,2,7,4,1]=>011011=>[2,1,2,1,1] [3,6,5,4,1,2,7]=>011100=>[2,1,1,3] [3,6,5,4,1,7,2]=>011101=>[2,1,1,2,1] [3,6,5,4,2,1,7]=>011110=>[2,1,1,1,2] [3,6,5,4,2,7,1]=>011101=>[2,1,1,2,1] [3,6,5,4,7,1,2]=>011010=>[2,1,2,2] [3,6,5,4,7,2,1]=>011011=>[2,1,2,1,1] [3,6,5,7,1,2,4]=>010100=>[2,2,3] [3,6,5,7,1,4,2]=>010101=>[2,2,2,1] [3,6,5,7,2,1,4]=>010110=>[2,2,1,2] [3,6,5,7,2,4,1]=>010101=>[2,2,2,1] [3,6,5,7,4,1,2]=>010110=>[2,2,1,2] [3,6,5,7,4,2,1]=>010111=>[2,2,1,1,1] [3,6,7,1,2,4,5]=>001000=>[3,4] [3,6,7,1,2,5,4]=>001001=>[3,3,1] [3,6,7,1,4,2,5]=>001010=>[3,2,2] [3,6,7,1,4,5,2]=>001001=>[3,3,1] [3,6,7,1,5,2,4]=>001010=>[3,2,2] [3,6,7,1,5,4,2]=>001011=>[3,2,1,1] [3,6,7,2,1,4,5]=>001100=>[3,1,3] [3,6,7,2,1,5,4]=>001101=>[3,1,2,1] [3,6,7,2,4,1,5]=>001010=>[3,2,2] [3,6,7,2,4,5,1]=>001001=>[3,3,1] [3,6,7,2,5,1,4]=>001010=>[3,2,2] [3,6,7,2,5,4,1]=>001011=>[3,2,1,1] [3,6,7,4,1,2,5]=>001100=>[3,1,3] [3,6,7,4,1,5,2]=>001101=>[3,1,2,1] [3,6,7,4,2,1,5]=>001110=>[3,1,1,2] [3,6,7,4,2,5,1]=>001101=>[3,1,2,1] [3,6,7,4,5,1,2]=>001010=>[3,2,2] [3,6,7,4,5,2,1]=>001011=>[3,2,1,1] [3,6,7,5,1,2,4]=>001100=>[3,1,3] [3,6,7,5,1,4,2]=>001101=>[3,1,2,1] [3,6,7,5,2,1,4]=>001110=>[3,1,1,2] [3,6,7,5,2,4,1]=>001101=>[3,1,2,1] [3,6,7,5,4,1,2]=>001110=>[3,1,1,2] [3,6,7,5,4,2,1]=>001111=>[3,1,1,1,1] [3,7,1,2,4,5,6]=>010000=>[2,5] [3,7,1,2,4,6,5]=>010001=>[2,4,1] [3,7,1,2,5,4,6]=>010010=>[2,3,2] [3,7,1,2,5,6,4]=>010001=>[2,4,1] [3,7,1,2,6,4,5]=>010010=>[2,3,2] [3,7,1,2,6,5,4]=>010011=>[2,3,1,1] [3,7,1,4,2,5,6]=>010100=>[2,2,3] [3,7,1,4,2,6,5]=>010101=>[2,2,2,1] [3,7,1,4,5,2,6]=>010010=>[2,3,2] [3,7,1,4,5,6,2]=>010001=>[2,4,1] [3,7,1,4,6,2,5]=>010010=>[2,3,2] [3,7,1,4,6,5,2]=>010011=>[2,3,1,1] [3,7,1,5,2,4,6]=>010100=>[2,2,3] [3,7,1,5,2,6,4]=>010101=>[2,2,2,1] [3,7,1,5,4,2,6]=>010110=>[2,2,1,2] [3,7,1,5,4,6,2]=>010101=>[2,2,2,1] [3,7,1,5,6,2,4]=>010010=>[2,3,2] [3,7,1,5,6,4,2]=>010011=>[2,3,1,1] [3,7,1,6,2,4,5]=>010100=>[2,2,3] [3,7,1,6,2,5,4]=>010101=>[2,2,2,1] [3,7,1,6,4,2,5]=>010110=>[2,2,1,2] [3,7,1,6,4,5,2]=>010101=>[2,2,2,1] [3,7,1,6,5,2,4]=>010110=>[2,2,1,2] [3,7,1,6,5,4,2]=>010111=>[2,2,1,1,1] [3,7,2,1,4,5,6]=>011000=>[2,1,4] [3,7,2,1,4,6,5]=>011001=>[2,1,3,1] [3,7,2,1,5,4,6]=>011010=>[2,1,2,2] [3,7,2,1,5,6,4]=>011001=>[2,1,3,1] [3,7,2,1,6,4,5]=>011010=>[2,1,2,2] [3,7,2,1,6,5,4]=>011011=>[2,1,2,1,1] [3,7,2,4,1,5,6]=>010100=>[2,2,3] [3,7,2,4,1,6,5]=>010101=>[2,2,2,1] [3,7,2,4,5,1,6]=>010010=>[2,3,2] [3,7,2,4,5,6,1]=>010001=>[2,4,1] [3,7,2,4,6,1,5]=>010010=>[2,3,2] [3,7,2,4,6,5,1]=>010011=>[2,3,1,1] [3,7,2,5,1,4,6]=>010100=>[2,2,3] [3,7,2,5,1,6,4]=>010101=>[2,2,2,1] [3,7,2,5,4,1,6]=>010110=>[2,2,1,2] [3,7,2,5,4,6,1]=>010101=>[2,2,2,1] [3,7,2,5,6,1,4]=>010010=>[2,3,2] [3,7,2,5,6,4,1]=>010011=>[2,3,1,1] [3,7,2,6,1,4,5]=>010100=>[2,2,3] [3,7,2,6,1,5,4]=>010101=>[2,2,2,1] [3,7,2,6,4,1,5]=>010110=>[2,2,1,2] [3,7,2,6,4,5,1]=>010101=>[2,2,2,1] [3,7,2,6,5,1,4]=>010110=>[2,2,1,2] [3,7,2,6,5,4,1]=>010111=>[2,2,1,1,1] [3,7,4,1,2,5,6]=>011000=>[2,1,4] [3,7,4,1,2,6,5]=>011001=>[2,1,3,1] [3,7,4,1,5,2,6]=>011010=>[2,1,2,2] [3,7,4,1,5,6,2]=>011001=>[2,1,3,1] [3,7,4,1,6,2,5]=>011010=>[2,1,2,2] [3,7,4,1,6,5,2]=>011011=>[2,1,2,1,1] [3,7,4,2,1,5,6]=>011100=>[2,1,1,3] [3,7,4,2,1,6,5]=>011101=>[2,1,1,2,1] [3,7,4,2,5,1,6]=>011010=>[2,1,2,2] [3,7,4,2,5,6,1]=>011001=>[2,1,3,1] [3,7,4,2,6,1,5]=>011010=>[2,1,2,2] [3,7,4,2,6,5,1]=>011011=>[2,1,2,1,1] [3,7,4,5,1,2,6]=>010100=>[2,2,3] [3,7,4,5,1,6,2]=>010101=>[2,2,2,1] [3,7,4,5,2,1,6]=>010110=>[2,2,1,2] [3,7,4,5,2,6,1]=>010101=>[2,2,2,1] [3,7,4,5,6,1,2]=>010010=>[2,3,2] [3,7,4,5,6,2,1]=>010011=>[2,3,1,1] [3,7,4,6,1,2,5]=>010100=>[2,2,3] [3,7,4,6,1,5,2]=>010101=>[2,2,2,1] [3,7,4,6,2,1,5]=>010110=>[2,2,1,2] [3,7,4,6,2,5,1]=>010101=>[2,2,2,1] [3,7,4,6,5,1,2]=>010110=>[2,2,1,2] [3,7,4,6,5,2,1]=>010111=>[2,2,1,1,1] [3,7,5,1,2,4,6]=>011000=>[2,1,4] [3,7,5,1,2,6,4]=>011001=>[2,1,3,1] [3,7,5,1,4,2,6]=>011010=>[2,1,2,2] [3,7,5,1,4,6,2]=>011001=>[2,1,3,1] [3,7,5,1,6,2,4]=>011010=>[2,1,2,2] [3,7,5,1,6,4,2]=>011011=>[2,1,2,1,1] [3,7,5,2,1,4,6]=>011100=>[2,1,1,3] [3,7,5,2,1,6,4]=>011101=>[2,1,1,2,1] [3,7,5,2,4,1,6]=>011010=>[2,1,2,2] [3,7,5,2,4,6,1]=>011001=>[2,1,3,1] [3,7,5,2,6,1,4]=>011010=>[2,1,2,2] [3,7,5,2,6,4,1]=>011011=>[2,1,2,1,1] [3,7,5,4,1,2,6]=>011100=>[2,1,1,3] [3,7,5,4,1,6,2]=>011101=>[2,1,1,2,1] [3,7,5,4,2,1,6]=>011110=>[2,1,1,1,2] [3,7,5,4,2,6,1]=>011101=>[2,1,1,2,1] [3,7,5,4,6,1,2]=>011010=>[2,1,2,2] [3,7,5,4,6,2,1]=>011011=>[2,1,2,1,1] [3,7,5,6,1,2,4]=>010100=>[2,2,3] [3,7,5,6,1,4,2]=>010101=>[2,2,2,1] [3,7,5,6,2,1,4]=>010110=>[2,2,1,2] [3,7,5,6,2,4,1]=>010101=>[2,2,2,1] [3,7,5,6,4,1,2]=>010110=>[2,2,1,2] [3,7,5,6,4,2,1]=>010111=>[2,2,1,1,1] [3,7,6,1,2,4,5]=>011000=>[2,1,4] [3,7,6,1,2,5,4]=>011001=>[2,1,3,1] [3,7,6,1,4,2,5]=>011010=>[2,1,2,2] [3,7,6,1,4,5,2]=>011001=>[2,1,3,1] [3,7,6,1,5,2,4]=>011010=>[2,1,2,2] [3,7,6,1,5,4,2]=>011011=>[2,1,2,1,1] [3,7,6,2,1,4,5]=>011100=>[2,1,1,3] [3,7,6,2,1,5,4]=>011101=>[2,1,1,2,1] [3,7,6,2,4,1,5]=>011010=>[2,1,2,2] [3,7,6,2,4,5,1]=>011001=>[2,1,3,1] [3,7,6,2,5,1,4]=>011010=>[2,1,2,2] [3,7,6,2,5,4,1]=>011011=>[2,1,2,1,1] [3,7,6,4,1,2,5]=>011100=>[2,1,1,3] [3,7,6,4,1,5,2]=>011101=>[2,1,1,2,1] [3,7,6,4,2,1,5]=>011110=>[2,1,1,1,2] [3,7,6,4,2,5,1]=>011101=>[2,1,1,2,1] [3,7,6,4,5,1,2]=>011010=>[2,1,2,2] [3,7,6,4,5,2,1]=>011011=>[2,1,2,1,1] [3,7,6,5,1,2,4]=>011100=>[2,1,1,3] [3,7,6,5,1,4,2]=>011101=>[2,1,1,2,1] [3,7,6,5,2,1,4]=>011110=>[2,1,1,1,2] [3,7,6,5,2,4,1]=>011101=>[2,1,1,2,1] [3,7,6,5,4,1,2]=>011110=>[2,1,1,1,2] [3,7,6,5,4,2,1]=>011111=>[2,1,1,1,1,1] [4,1,2,3,5,6,7]=>100000=>[1,6] [4,1,2,3,5,7,6]=>100001=>[1,5,1] [4,1,2,3,6,5,7]=>100010=>[1,4,2] [4,1,2,3,6,7,5]=>100001=>[1,5,1] [4,1,2,3,7,5,6]=>100010=>[1,4,2] [4,1,2,3,7,6,5]=>100011=>[1,4,1,1] [4,1,2,5,3,6,7]=>100100=>[1,3,3] [4,1,2,5,3,7,6]=>100101=>[1,3,2,1] [4,1,2,5,6,3,7]=>100010=>[1,4,2] [4,1,2,5,6,7,3]=>100001=>[1,5,1] [4,1,2,5,7,3,6]=>100010=>[1,4,2] [4,1,2,5,7,6,3]=>100011=>[1,4,1,1] [4,1,2,6,3,5,7]=>100100=>[1,3,3] [4,1,2,6,3,7,5]=>100101=>[1,3,2,1] [4,1,2,6,5,3,7]=>100110=>[1,3,1,2] [4,1,2,6,5,7,3]=>100101=>[1,3,2,1] [4,1,2,6,7,3,5]=>100010=>[1,4,2] [4,1,2,6,7,5,3]=>100011=>[1,4,1,1] [4,1,2,7,3,5,6]=>100100=>[1,3,3] [4,1,2,7,3,6,5]=>100101=>[1,3,2,1] [4,1,2,7,5,3,6]=>100110=>[1,3,1,2] [4,1,2,7,5,6,3]=>100101=>[1,3,2,1] [4,1,2,7,6,3,5]=>100110=>[1,3,1,2] [4,1,2,7,6,5,3]=>100111=>[1,3,1,1,1] [4,1,3,2,5,6,7]=>101000=>[1,2,4] [4,1,3,2,5,7,6]=>101001=>[1,2,3,1] [4,1,3,2,6,5,7]=>101010=>[1,2,2,2] [4,1,3,2,6,7,5]=>101001=>[1,2,3,1] [4,1,3,2,7,5,6]=>101010=>[1,2,2,2] [4,1,3,2,7,6,5]=>101011=>[1,2,2,1,1] [4,1,3,5,2,6,7]=>100100=>[1,3,3] [4,1,3,5,2,7,6]=>100101=>[1,3,2,1] [4,1,3,5,6,2,7]=>100010=>[1,4,2] [4,1,3,5,6,7,2]=>100001=>[1,5,1] [4,1,3,5,7,2,6]=>100010=>[1,4,2] [4,1,3,5,7,6,2]=>100011=>[1,4,1,1] [4,1,3,6,2,5,7]=>100100=>[1,3,3] [4,1,3,6,2,7,5]=>100101=>[1,3,2,1] [4,1,3,6,5,2,7]=>100110=>[1,3,1,2] [4,1,3,6,5,7,2]=>100101=>[1,3,2,1] [4,1,3,6,7,2,5]=>100010=>[1,4,2] [4,1,3,6,7,5,2]=>100011=>[1,4,1,1] [4,1,3,7,2,5,6]=>100100=>[1,3,3] [4,1,3,7,2,6,5]=>100101=>[1,3,2,1] [4,1,3,7,5,2,6]=>100110=>[1,3,1,2] [4,1,3,7,5,6,2]=>100101=>[1,3,2,1] [4,1,3,7,6,2,5]=>100110=>[1,3,1,2] [4,1,3,7,6,5,2]=>100111=>[1,3,1,1,1] [4,1,5,2,3,6,7]=>101000=>[1,2,4] [4,1,5,2,3,7,6]=>101001=>[1,2,3,1] [4,1,5,2,6,3,7]=>101010=>[1,2,2,2] [4,1,5,2,6,7,3]=>101001=>[1,2,3,1] [4,1,5,2,7,3,6]=>101010=>[1,2,2,2] [4,1,5,2,7,6,3]=>101011=>[1,2,2,1,1] [4,1,5,3,2,6,7]=>101100=>[1,2,1,3] [4,1,5,3,2,7,6]=>101101=>[1,2,1,2,1] [4,1,5,3,6,2,7]=>101010=>[1,2,2,2] [4,1,5,3,6,7,2]=>101001=>[1,2,3,1] [4,1,5,3,7,2,6]=>101010=>[1,2,2,2] [4,1,5,3,7,6,2]=>101011=>[1,2,2,1,1] [4,1,5,6,2,3,7]=>100100=>[1,3,3] [4,1,5,6,2,7,3]=>100101=>[1,3,2,1] [4,1,5,6,3,2,7]=>100110=>[1,3,1,2] [4,1,5,6,3,7,2]=>100101=>[1,3,2,1] [4,1,5,6,7,2,3]=>100010=>[1,4,2] [4,1,5,6,7,3,2]=>100011=>[1,4,1,1] [4,1,5,7,2,3,6]=>100100=>[1,3,3] [4,1,5,7,2,6,3]=>100101=>[1,3,2,1] [4,1,5,7,3,2,6]=>100110=>[1,3,1,2] [4,1,5,7,3,6,2]=>100101=>[1,3,2,1] [4,1,5,7,6,2,3]=>100110=>[1,3,1,2] [4,1,5,7,6,3,2]=>100111=>[1,3,1,1,1] [4,1,6,2,3,5,7]=>101000=>[1,2,4] [4,1,6,2,3,7,5]=>101001=>[1,2,3,1] [4,1,6,2,5,3,7]=>101010=>[1,2,2,2] [4,1,6,2,5,7,3]=>101001=>[1,2,3,1] [4,1,6,2,7,3,5]=>101010=>[1,2,2,2] [4,1,6,2,7,5,3]=>101011=>[1,2,2,1,1] [4,1,6,3,2,5,7]=>101100=>[1,2,1,3] [4,1,6,3,2,7,5]=>101101=>[1,2,1,2,1] [4,1,6,3,5,2,7]=>101010=>[1,2,2,2] [4,1,6,3,5,7,2]=>101001=>[1,2,3,1] [4,1,6,3,7,2,5]=>101010=>[1,2,2,2] [4,1,6,3,7,5,2]=>101011=>[1,2,2,1,1] [4,1,6,5,2,3,7]=>101100=>[1,2,1,3] [4,1,6,5,2,7,3]=>101101=>[1,2,1,2,1] [4,1,6,5,3,2,7]=>101110=>[1,2,1,1,2] [4,1,6,5,3,7,2]=>101101=>[1,2,1,2,1] [4,1,6,5,7,2,3]=>101010=>[1,2,2,2] [4,1,6,5,7,3,2]=>101011=>[1,2,2,1,1] [4,1,6,7,2,3,5]=>100100=>[1,3,3] [4,1,6,7,2,5,3]=>100101=>[1,3,2,1] [4,1,6,7,3,2,5]=>100110=>[1,3,1,2] [4,1,6,7,3,5,2]=>100101=>[1,3,2,1] [4,1,6,7,5,2,3]=>100110=>[1,3,1,2] [4,1,6,7,5,3,2]=>100111=>[1,3,1,1,1] [4,1,7,2,3,5,6]=>101000=>[1,2,4] [4,1,7,2,3,6,5]=>101001=>[1,2,3,1] [4,1,7,2,5,3,6]=>101010=>[1,2,2,2] [4,1,7,2,5,6,3]=>101001=>[1,2,3,1] [4,1,7,2,6,3,5]=>101010=>[1,2,2,2] [4,1,7,2,6,5,3]=>101011=>[1,2,2,1,1] [4,1,7,3,2,5,6]=>101100=>[1,2,1,3] [4,1,7,3,2,6,5]=>101101=>[1,2,1,2,1] [4,1,7,3,5,2,6]=>101010=>[1,2,2,2] [4,1,7,3,5,6,2]=>101001=>[1,2,3,1] [4,1,7,3,6,2,5]=>101010=>[1,2,2,2] [4,1,7,3,6,5,2]=>101011=>[1,2,2,1,1] [4,1,7,5,2,3,6]=>101100=>[1,2,1,3] [4,1,7,5,2,6,3]=>101101=>[1,2,1,2,1] [4,1,7,5,3,2,6]=>101110=>[1,2,1,1,2] [4,1,7,5,3,6,2]=>101101=>[1,2,1,2,1] [4,1,7,5,6,2,3]=>101010=>[1,2,2,2] [4,1,7,5,6,3,2]=>101011=>[1,2,2,1,1] [4,1,7,6,2,3,5]=>101100=>[1,2,1,3] [4,1,7,6,2,5,3]=>101101=>[1,2,1,2,1] [4,1,7,6,3,2,5]=>101110=>[1,2,1,1,2] [4,1,7,6,3,5,2]=>101101=>[1,2,1,2,1] [4,1,7,6,5,2,3]=>101110=>[1,2,1,1,2] [4,1,7,6,5,3,2]=>101111=>[1,2,1,1,1,1] [4,2,1,3,5,6,7]=>110000=>[1,1,5] [4,2,1,3,5,7,6]=>110001=>[1,1,4,1] [4,2,1,3,6,5,7]=>110010=>[1,1,3,2] [4,2,1,3,6,7,5]=>110001=>[1,1,4,1] [4,2,1,3,7,5,6]=>110010=>[1,1,3,2] [4,2,1,3,7,6,5]=>110011=>[1,1,3,1,1] [4,2,1,5,3,6,7]=>110100=>[1,1,2,3] [4,2,1,5,3,7,6]=>110101=>[1,1,2,2,1] [4,2,1,5,6,3,7]=>110010=>[1,1,3,2] [4,2,1,5,6,7,3]=>110001=>[1,1,4,1] [4,2,1,5,7,3,6]=>110010=>[1,1,3,2] [4,2,1,5,7,6,3]=>110011=>[1,1,3,1,1] [4,2,1,6,3,5,7]=>110100=>[1,1,2,3] [4,2,1,6,3,7,5]=>110101=>[1,1,2,2,1] [4,2,1,6,5,3,7]=>110110=>[1,1,2,1,2] [4,2,1,6,5,7,3]=>110101=>[1,1,2,2,1] [4,2,1,6,7,3,5]=>110010=>[1,1,3,2] [4,2,1,6,7,5,3]=>110011=>[1,1,3,1,1] [4,2,1,7,3,5,6]=>110100=>[1,1,2,3] [4,2,1,7,3,6,5]=>110101=>[1,1,2,2,1] [4,2,1,7,5,3,6]=>110110=>[1,1,2,1,2] [4,2,1,7,5,6,3]=>110101=>[1,1,2,2,1] [4,2,1,7,6,3,5]=>110110=>[1,1,2,1,2] [4,2,1,7,6,5,3]=>110111=>[1,1,2,1,1,1] [4,2,3,1,5,6,7]=>101000=>[1,2,4] [4,2,3,1,5,7,6]=>101001=>[1,2,3,1] [4,2,3,1,6,5,7]=>101010=>[1,2,2,2] [4,2,3,1,6,7,5]=>101001=>[1,2,3,1] [4,2,3,1,7,5,6]=>101010=>[1,2,2,2] [4,2,3,1,7,6,5]=>101011=>[1,2,2,1,1] [4,2,3,5,1,6,7]=>100100=>[1,3,3] [4,2,3,5,1,7,6]=>100101=>[1,3,2,1] [4,2,3,5,6,1,7]=>100010=>[1,4,2] [4,2,3,5,6,7,1]=>100001=>[1,5,1] [4,2,3,5,7,1,6]=>100010=>[1,4,2] [4,2,3,5,7,6,1]=>100011=>[1,4,1,1] [4,2,3,6,1,5,7]=>100100=>[1,3,3] [4,2,3,6,1,7,5]=>100101=>[1,3,2,1] [4,2,3,6,5,1,7]=>100110=>[1,3,1,2] [4,2,3,6,5,7,1]=>100101=>[1,3,2,1] [4,2,3,6,7,1,5]=>100010=>[1,4,2] [4,2,3,6,7,5,1]=>100011=>[1,4,1,1] [4,2,3,7,1,5,6]=>100100=>[1,3,3] [4,2,3,7,1,6,5]=>100101=>[1,3,2,1] [4,2,3,7,5,1,6]=>100110=>[1,3,1,2] [4,2,3,7,5,6,1]=>100101=>[1,3,2,1] [4,2,3,7,6,1,5]=>100110=>[1,3,1,2] [4,2,3,7,6,5,1]=>100111=>[1,3,1,1,1] [4,2,5,1,3,6,7]=>101000=>[1,2,4] [4,2,5,1,3,7,6]=>101001=>[1,2,3,1] [4,2,5,1,6,3,7]=>101010=>[1,2,2,2] [4,2,5,1,6,7,3]=>101001=>[1,2,3,1] [4,2,5,1,7,3,6]=>101010=>[1,2,2,2] [4,2,5,1,7,6,3]=>101011=>[1,2,2,1,1] [4,2,5,3,1,6,7]=>101100=>[1,2,1,3] [4,2,5,3,1,7,6]=>101101=>[1,2,1,2,1] [4,2,5,3,6,1,7]=>101010=>[1,2,2,2] [4,2,5,3,6,7,1]=>101001=>[1,2,3,1] [4,2,5,3,7,1,6]=>101010=>[1,2,2,2] [4,2,5,3,7,6,1]=>101011=>[1,2,2,1,1] [4,2,5,6,1,3,7]=>100100=>[1,3,3] [4,2,5,6,1,7,3]=>100101=>[1,3,2,1] [4,2,5,6,3,1,7]=>100110=>[1,3,1,2] [4,2,5,6,3,7,1]=>100101=>[1,3,2,1] [4,2,5,6,7,1,3]=>100010=>[1,4,2] [4,2,5,6,7,3,1]=>100011=>[1,4,1,1] [4,2,5,7,1,3,6]=>100100=>[1,3,3] [4,2,5,7,1,6,3]=>100101=>[1,3,2,1] [4,2,5,7,3,1,6]=>100110=>[1,3,1,2] [4,2,5,7,3,6,1]=>100101=>[1,3,2,1] [4,2,5,7,6,1,3]=>100110=>[1,3,1,2] [4,2,5,7,6,3,1]=>100111=>[1,3,1,1,1] [4,2,6,1,3,5,7]=>101000=>[1,2,4] [4,2,6,1,3,7,5]=>101001=>[1,2,3,1] [4,2,6,1,5,3,7]=>101010=>[1,2,2,2] [4,2,6,1,5,7,3]=>101001=>[1,2,3,1] [4,2,6,1,7,3,5]=>101010=>[1,2,2,2] [4,2,6,1,7,5,3]=>101011=>[1,2,2,1,1] [4,2,6,3,1,5,7]=>101100=>[1,2,1,3] [4,2,6,3,1,7,5]=>101101=>[1,2,1,2,1] [4,2,6,3,5,1,7]=>101010=>[1,2,2,2] [4,2,6,3,5,7,1]=>101001=>[1,2,3,1] [4,2,6,3,7,1,5]=>101010=>[1,2,2,2] [4,2,6,3,7,5,1]=>101011=>[1,2,2,1,1] [4,2,6,5,1,3,7]=>101100=>[1,2,1,3] [4,2,6,5,1,7,3]=>101101=>[1,2,1,2,1] [4,2,6,5,3,1,7]=>101110=>[1,2,1,1,2] [4,2,6,5,3,7,1]=>101101=>[1,2,1,2,1] [4,2,6,5,7,1,3]=>101010=>[1,2,2,2] [4,2,6,5,7,3,1]=>101011=>[1,2,2,1,1] [4,2,6,7,1,3,5]=>100100=>[1,3,3] [4,2,6,7,1,5,3]=>100101=>[1,3,2,1] [4,2,6,7,3,1,5]=>100110=>[1,3,1,2] [4,2,6,7,3,5,1]=>100101=>[1,3,2,1] [4,2,6,7,5,1,3]=>100110=>[1,3,1,2] [4,2,6,7,5,3,1]=>100111=>[1,3,1,1,1] [4,2,7,1,3,5,6]=>101000=>[1,2,4] [4,2,7,1,3,6,5]=>101001=>[1,2,3,1] [4,2,7,1,5,3,6]=>101010=>[1,2,2,2] [4,2,7,1,5,6,3]=>101001=>[1,2,3,1] [4,2,7,1,6,3,5]=>101010=>[1,2,2,2] [4,2,7,1,6,5,3]=>101011=>[1,2,2,1,1] [4,2,7,3,1,5,6]=>101100=>[1,2,1,3] [4,2,7,3,1,6,5]=>101101=>[1,2,1,2,1] [4,2,7,3,5,1,6]=>101010=>[1,2,2,2] [4,2,7,3,5,6,1]=>101001=>[1,2,3,1] [4,2,7,3,6,1,5]=>101010=>[1,2,2,2] [4,2,7,3,6,5,1]=>101011=>[1,2,2,1,1] [4,2,7,5,1,3,6]=>101100=>[1,2,1,3] [4,2,7,5,1,6,3]=>101101=>[1,2,1,2,1] [4,2,7,5,3,1,6]=>101110=>[1,2,1,1,2] [4,2,7,5,3,6,1]=>101101=>[1,2,1,2,1] [4,2,7,5,6,1,3]=>101010=>[1,2,2,2] [4,2,7,5,6,3,1]=>101011=>[1,2,2,1,1] [4,2,7,6,1,3,5]=>101100=>[1,2,1,3] [4,2,7,6,1,5,3]=>101101=>[1,2,1,2,1] [4,2,7,6,3,1,5]=>101110=>[1,2,1,1,2] [4,2,7,6,3,5,1]=>101101=>[1,2,1,2,1] [4,2,7,6,5,1,3]=>101110=>[1,2,1,1,2] [4,2,7,6,5,3,1]=>101111=>[1,2,1,1,1,1] [4,3,1,2,5,6,7]=>110000=>[1,1,5] [4,3,1,2,5,7,6]=>110001=>[1,1,4,1] [4,3,1,2,6,5,7]=>110010=>[1,1,3,2] [4,3,1,2,6,7,5]=>110001=>[1,1,4,1] [4,3,1,2,7,5,6]=>110010=>[1,1,3,2] [4,3,1,2,7,6,5]=>110011=>[1,1,3,1,1] [4,3,1,5,2,6,7]=>110100=>[1,1,2,3] [4,3,1,5,2,7,6]=>110101=>[1,1,2,2,1] [4,3,1,5,6,2,7]=>110010=>[1,1,3,2] [4,3,1,5,6,7,2]=>110001=>[1,1,4,1] [4,3,1,5,7,2,6]=>110010=>[1,1,3,2] [4,3,1,5,7,6,2]=>110011=>[1,1,3,1,1] [4,3,1,6,2,5,7]=>110100=>[1,1,2,3] [4,3,1,6,2,7,5]=>110101=>[1,1,2,2,1] [4,3,1,6,5,2,7]=>110110=>[1,1,2,1,2] [4,3,1,6,5,7,2]=>110101=>[1,1,2,2,1] [4,3,1,6,7,2,5]=>110010=>[1,1,3,2] [4,3,1,6,7,5,2]=>110011=>[1,1,3,1,1] [4,3,1,7,2,5,6]=>110100=>[1,1,2,3] [4,3,1,7,2,6,5]=>110101=>[1,1,2,2,1] [4,3,1,7,5,2,6]=>110110=>[1,1,2,1,2] [4,3,1,7,5,6,2]=>110101=>[1,1,2,2,1] [4,3,1,7,6,2,5]=>110110=>[1,1,2,1,2] [4,3,1,7,6,5,2]=>110111=>[1,1,2,1,1,1] [4,3,2,1,5,6,7]=>111000=>[1,1,1,4] [4,3,2,1,5,7,6]=>111001=>[1,1,1,3,1] [4,3,2,1,6,5,7]=>111010=>[1,1,1,2,2] [4,3,2,1,6,7,5]=>111001=>[1,1,1,3,1] [4,3,2,1,7,5,6]=>111010=>[1,1,1,2,2] [4,3,2,1,7,6,5]=>111011=>[1,1,1,2,1,1] [4,3,2,5,1,6,7]=>110100=>[1,1,2,3] [4,3,2,5,1,7,6]=>110101=>[1,1,2,2,1] [4,3,2,5,6,1,7]=>110010=>[1,1,3,2] [4,3,2,5,6,7,1]=>110001=>[1,1,4,1] [4,3,2,5,7,1,6]=>110010=>[1,1,3,2] [4,3,2,5,7,6,1]=>110011=>[1,1,3,1,1] [4,3,2,6,1,5,7]=>110100=>[1,1,2,3] [4,3,2,6,1,7,5]=>110101=>[1,1,2,2,1] [4,3,2,6,5,1,7]=>110110=>[1,1,2,1,2] [4,3,2,6,5,7,1]=>110101=>[1,1,2,2,1] [4,3,2,6,7,1,5]=>110010=>[1,1,3,2] [4,3,2,6,7,5,1]=>110011=>[1,1,3,1,1] [4,3,2,7,1,5,6]=>110100=>[1,1,2,3] [4,3,2,7,1,6,5]=>110101=>[1,1,2,2,1] [4,3,2,7,5,1,6]=>110110=>[1,1,2,1,2] [4,3,2,7,5,6,1]=>110101=>[1,1,2,2,1] [4,3,2,7,6,1,5]=>110110=>[1,1,2,1,2] [4,3,2,7,6,5,1]=>110111=>[1,1,2,1,1,1] [4,3,5,1,2,6,7]=>101000=>[1,2,4] [4,3,5,1,2,7,6]=>101001=>[1,2,3,1] [4,3,5,1,6,2,7]=>101010=>[1,2,2,2] [4,3,5,1,6,7,2]=>101001=>[1,2,3,1] [4,3,5,1,7,2,6]=>101010=>[1,2,2,2] [4,3,5,1,7,6,2]=>101011=>[1,2,2,1,1] [4,3,5,2,1,6,7]=>101100=>[1,2,1,3] [4,3,5,2,1,7,6]=>101101=>[1,2,1,2,1] [4,3,5,2,6,1,7]=>101010=>[1,2,2,2] [4,3,5,2,6,7,1]=>101001=>[1,2,3,1] [4,3,5,2,7,1,6]=>101010=>[1,2,2,2] [4,3,5,2,7,6,1]=>101011=>[1,2,2,1,1] [4,3,5,6,1,2,7]=>100100=>[1,3,3] [4,3,5,6,1,7,2]=>100101=>[1,3,2,1] [4,3,5,6,2,1,7]=>100110=>[1,3,1,2] [4,3,5,6,2,7,1]=>100101=>[1,3,2,1] [4,3,5,6,7,1,2]=>100010=>[1,4,2] [4,3,5,6,7,2,1]=>100011=>[1,4,1,1] [4,3,5,7,1,2,6]=>100100=>[1,3,3] [4,3,5,7,1,6,2]=>100101=>[1,3,2,1] [4,3,5,7,2,1,6]=>100110=>[1,3,1,2] [4,3,5,7,2,6,1]=>100101=>[1,3,2,1] [4,3,5,7,6,1,2]=>100110=>[1,3,1,2] [4,3,5,7,6,2,1]=>100111=>[1,3,1,1,1] [4,3,6,1,2,5,7]=>101000=>[1,2,4] [4,3,6,1,2,7,5]=>101001=>[1,2,3,1] [4,3,6,1,5,2,7]=>101010=>[1,2,2,2] [4,3,6,1,5,7,2]=>101001=>[1,2,3,1] [4,3,6,1,7,2,5]=>101010=>[1,2,2,2] [4,3,6,1,7,5,2]=>101011=>[1,2,2,1,1] [4,3,6,2,1,5,7]=>101100=>[1,2,1,3] [4,3,6,2,1,7,5]=>101101=>[1,2,1,2,1] [4,3,6,2,5,1,7]=>101010=>[1,2,2,2] [4,3,6,2,5,7,1]=>101001=>[1,2,3,1] [4,3,6,2,7,1,5]=>101010=>[1,2,2,2] [4,3,6,2,7,5,1]=>101011=>[1,2,2,1,1] [4,3,6,5,1,2,7]=>101100=>[1,2,1,3] [4,3,6,5,1,7,2]=>101101=>[1,2,1,2,1] [4,3,6,5,2,1,7]=>101110=>[1,2,1,1,2] [4,3,6,5,2,7,1]=>101101=>[1,2,1,2,1] [4,3,6,5,7,1,2]=>101010=>[1,2,2,2] [4,3,6,5,7,2,1]=>101011=>[1,2,2,1,1] [4,3,6,7,1,2,5]=>100100=>[1,3,3] [4,3,6,7,1,5,2]=>100101=>[1,3,2,1] [4,3,6,7,2,1,5]=>100110=>[1,3,1,2] [4,3,6,7,2,5,1]=>100101=>[1,3,2,1] [4,3,6,7,5,1,2]=>100110=>[1,3,1,2] [4,3,6,7,5,2,1]=>100111=>[1,3,1,1,1] [4,3,7,1,2,5,6]=>101000=>[1,2,4] [4,3,7,1,2,6,5]=>101001=>[1,2,3,1] [4,3,7,1,5,2,6]=>101010=>[1,2,2,2] [4,3,7,1,5,6,2]=>101001=>[1,2,3,1] [4,3,7,1,6,2,5]=>101010=>[1,2,2,2] [4,3,7,1,6,5,2]=>101011=>[1,2,2,1,1] [4,3,7,2,1,5,6]=>101100=>[1,2,1,3] [4,3,7,2,1,6,5]=>101101=>[1,2,1,2,1] [4,3,7,2,5,1,6]=>101010=>[1,2,2,2] [4,3,7,2,5,6,1]=>101001=>[1,2,3,1] [4,3,7,2,6,1,5]=>101010=>[1,2,2,2] [4,3,7,2,6,5,1]=>101011=>[1,2,2,1,1] [4,3,7,5,1,2,6]=>101100=>[1,2,1,3] [4,3,7,5,1,6,2]=>101101=>[1,2,1,2,1] [4,3,7,5,2,1,6]=>101110=>[1,2,1,1,2] [4,3,7,5,2,6,1]=>101101=>[1,2,1,2,1] [4,3,7,5,6,1,2]=>101010=>[1,2,2,2] [4,3,7,5,6,2,1]=>101011=>[1,2,2,1,1] [4,3,7,6,1,2,5]=>101100=>[1,2,1,3] [4,3,7,6,1,5,2]=>101101=>[1,2,1,2,1] [4,3,7,6,2,1,5]=>101110=>[1,2,1,1,2] [4,3,7,6,2,5,1]=>101101=>[1,2,1,2,1] [4,3,7,6,5,1,2]=>101110=>[1,2,1,1,2] [4,3,7,6,5,2,1]=>101111=>[1,2,1,1,1,1] [4,5,1,2,3,6,7]=>010000=>[2,5] [4,5,1,2,3,7,6]=>010001=>[2,4,1] [4,5,1,2,6,3,7]=>010010=>[2,3,2] [4,5,1,2,6,7,3]=>010001=>[2,4,1] [4,5,1,2,7,3,6]=>010010=>[2,3,2] [4,5,1,2,7,6,3]=>010011=>[2,3,1,1] [4,5,1,3,2,6,7]=>010100=>[2,2,3] [4,5,1,3,2,7,6]=>010101=>[2,2,2,1] [4,5,1,3,6,2,7]=>010010=>[2,3,2] [4,5,1,3,6,7,2]=>010001=>[2,4,1] [4,5,1,3,7,2,6]=>010010=>[2,3,2] [4,5,1,3,7,6,2]=>010011=>[2,3,1,1] [4,5,1,6,2,3,7]=>010100=>[2,2,3] [4,5,1,6,2,7,3]=>010101=>[2,2,2,1] [4,5,1,6,3,2,7]=>010110=>[2,2,1,2] [4,5,1,6,3,7,2]=>010101=>[2,2,2,1] [4,5,1,6,7,2,3]=>010010=>[2,3,2] [4,5,1,6,7,3,2]=>010011=>[2,3,1,1] [4,5,1,7,2,3,6]=>010100=>[2,2,3] [4,5,1,7,2,6,3]=>010101=>[2,2,2,1] [4,5,1,7,3,2,6]=>010110=>[2,2,1,2] [4,5,1,7,3,6,2]=>010101=>[2,2,2,1] [4,5,1,7,6,2,3]=>010110=>[2,2,1,2] [4,5,1,7,6,3,2]=>010111=>[2,2,1,1,1] [4,5,2,1,3,6,7]=>011000=>[2,1,4] [4,5,2,1,3,7,6]=>011001=>[2,1,3,1] [4,5,2,1,6,3,7]=>011010=>[2,1,2,2] [4,5,2,1,6,7,3]=>011001=>[2,1,3,1] [4,5,2,1,7,3,6]=>011010=>[2,1,2,2] [4,5,2,1,7,6,3]=>011011=>[2,1,2,1,1] [4,5,2,3,1,6,7]=>010100=>[2,2,3] [4,5,2,3,1,7,6]=>010101=>[2,2,2,1] [4,5,2,3,6,1,7]=>010010=>[2,3,2] [4,5,2,3,6,7,1]=>010001=>[2,4,1] [4,5,2,3,7,1,6]=>010010=>[2,3,2] [4,5,2,3,7,6,1]=>010011=>[2,3,1,1] [4,5,2,6,1,3,7]=>010100=>[2,2,3] [4,5,2,6,1,7,3]=>010101=>[2,2,2,1] [4,5,2,6,3,1,7]=>010110=>[2,2,1,2] [4,5,2,6,3,7,1]=>010101=>[2,2,2,1] [4,5,2,6,7,1,3]=>010010=>[2,3,2] [4,5,2,6,7,3,1]=>010011=>[2,3,1,1] [4,5,2,7,1,3,6]=>010100=>[2,2,3] [4,5,2,7,1,6,3]=>010101=>[2,2,2,1] [4,5,2,7,3,1,6]=>010110=>[2,2,1,2] [4,5,2,7,3,6,1]=>010101=>[2,2,2,1] [4,5,2,7,6,1,3]=>010110=>[2,2,1,2] [4,5,2,7,6,3,1]=>010111=>[2,2,1,1,1] [4,5,3,1,2,6,7]=>011000=>[2,1,4] [4,5,3,1,2,7,6]=>011001=>[2,1,3,1] [4,5,3,1,6,2,7]=>011010=>[2,1,2,2] [4,5,3,1,6,7,2]=>011001=>[2,1,3,1] [4,5,3,1,7,2,6]=>011010=>[2,1,2,2] [4,5,3,1,7,6,2]=>011011=>[2,1,2,1,1] [4,5,3,2,1,6,7]=>011100=>[2,1,1,3] [4,5,3,2,1,7,6]=>011101=>[2,1,1,2,1] [4,5,3,2,6,1,7]=>011010=>[2,1,2,2] [4,5,3,2,6,7,1]=>011001=>[2,1,3,1] [4,5,3,2,7,1,6]=>011010=>[2,1,2,2] [4,5,3,2,7,6,1]=>011011=>[2,1,2,1,1] [4,5,3,6,1,2,7]=>010100=>[2,2,3] [4,5,3,6,1,7,2]=>010101=>[2,2,2,1] [4,5,3,6,2,1,7]=>010110=>[2,2,1,2] [4,5,3,6,2,7,1]=>010101=>[2,2,2,1] [4,5,3,6,7,1,2]=>010010=>[2,3,2] [4,5,3,6,7,2,1]=>010011=>[2,3,1,1] [4,5,3,7,1,2,6]=>010100=>[2,2,3] [4,5,3,7,1,6,2]=>010101=>[2,2,2,1] [4,5,3,7,2,1,6]=>010110=>[2,2,1,2] [4,5,3,7,2,6,1]=>010101=>[2,2,2,1] [4,5,3,7,6,1,2]=>010110=>[2,2,1,2] [4,5,3,7,6,2,1]=>010111=>[2,2,1,1,1] [4,5,6,1,2,3,7]=>001000=>[3,4] [4,5,6,1,2,7,3]=>001001=>[3,3,1] [4,5,6,1,3,2,7]=>001010=>[3,2,2] [4,5,6,1,3,7,2]=>001001=>[3,3,1] [4,5,6,1,7,2,3]=>001010=>[3,2,2] [4,5,6,1,7,3,2]=>001011=>[3,2,1,1] [4,5,6,2,1,3,7]=>001100=>[3,1,3] [4,5,6,2,1,7,3]=>001101=>[3,1,2,1] [4,5,6,2,3,1,7]=>001010=>[3,2,2] [4,5,6,2,3,7,1]=>001001=>[3,3,1] [4,5,6,2,7,1,3]=>001010=>[3,2,2] [4,5,6,2,7,3,1]=>001011=>[3,2,1,1] [4,5,6,3,1,2,7]=>001100=>[3,1,3] [4,5,6,3,1,7,2]=>001101=>[3,1,2,1] [4,5,6,3,2,1,7]=>001110=>[3,1,1,2] [4,5,6,3,2,7,1]=>001101=>[3,1,2,1] [4,5,6,3,7,1,2]=>001010=>[3,2,2] [4,5,6,3,7,2,1]=>001011=>[3,2,1,1] [4,5,6,7,1,2,3]=>000100=>[4,3] [4,5,6,7,1,3,2]=>000101=>[4,2,1] [4,5,6,7,2,1,3]=>000110=>[4,1,2] [4,5,6,7,2,3,1]=>000101=>[4,2,1] [4,5,6,7,3,1,2]=>000110=>[4,1,2] [4,5,6,7,3,2,1]=>000111=>[4,1,1,1] [4,5,7,1,2,3,6]=>001000=>[3,4] [4,5,7,1,2,6,3]=>001001=>[3,3,1] [4,5,7,1,3,2,6]=>001010=>[3,2,2] [4,5,7,1,3,6,2]=>001001=>[3,3,1] [4,5,7,1,6,2,3]=>001010=>[3,2,2] [4,5,7,1,6,3,2]=>001011=>[3,2,1,1] [4,5,7,2,1,3,6]=>001100=>[3,1,3] [4,5,7,2,1,6,3]=>001101=>[3,1,2,1] [4,5,7,2,3,1,6]=>001010=>[3,2,2] [4,5,7,2,3,6,1]=>001001=>[3,3,1] [4,5,7,2,6,1,3]=>001010=>[3,2,2] [4,5,7,2,6,3,1]=>001011=>[3,2,1,1] [4,5,7,3,1,2,6]=>001100=>[3,1,3] [4,5,7,3,1,6,2]=>001101=>[3,1,2,1] [4,5,7,3,2,1,6]=>001110=>[3,1,1,2] [4,5,7,3,2,6,1]=>001101=>[3,1,2,1] [4,5,7,3,6,1,2]=>001010=>[3,2,2] [4,5,7,3,6,2,1]=>001011=>[3,2,1,1] [4,5,7,6,1,2,3]=>001100=>[3,1,3] [4,5,7,6,1,3,2]=>001101=>[3,1,2,1] [4,5,7,6,2,1,3]=>001110=>[3,1,1,2] [4,5,7,6,2,3,1]=>001101=>[3,1,2,1] [4,5,7,6,3,1,2]=>001110=>[3,1,1,2] [4,5,7,6,3,2,1]=>001111=>[3,1,1,1,1] [4,6,1,2,3,5,7]=>010000=>[2,5] [4,6,1,2,3,7,5]=>010001=>[2,4,1] [4,6,1,2,5,3,7]=>010010=>[2,3,2] [4,6,1,2,5,7,3]=>010001=>[2,4,1] [4,6,1,2,7,3,5]=>010010=>[2,3,2] [4,6,1,2,7,5,3]=>010011=>[2,3,1,1] [4,6,1,3,2,5,7]=>010100=>[2,2,3] [4,6,1,3,2,7,5]=>010101=>[2,2,2,1] [4,6,1,3,5,2,7]=>010010=>[2,3,2] [4,6,1,3,5,7,2]=>010001=>[2,4,1] [4,6,1,3,7,2,5]=>010010=>[2,3,2] [4,6,1,3,7,5,2]=>010011=>[2,3,1,1] [4,6,1,5,2,3,7]=>010100=>[2,2,3] [4,6,1,5,2,7,3]=>010101=>[2,2,2,1] [4,6,1,5,3,2,7]=>010110=>[2,2,1,2] [4,6,1,5,3,7,2]=>010101=>[2,2,2,1] [4,6,1,5,7,2,3]=>010010=>[2,3,2] [4,6,1,5,7,3,2]=>010011=>[2,3,1,1] [4,6,1,7,2,3,5]=>010100=>[2,2,3] [4,6,1,7,2,5,3]=>010101=>[2,2,2,1] [4,6,1,7,3,2,5]=>010110=>[2,2,1,2] [4,6,1,7,3,5,2]=>010101=>[2,2,2,1] [4,6,1,7,5,2,3]=>010110=>[2,2,1,2] [4,6,1,7,5,3,2]=>010111=>[2,2,1,1,1] [4,6,2,1,3,5,7]=>011000=>[2,1,4] [4,6,2,1,3,7,5]=>011001=>[2,1,3,1] [4,6,2,1,5,3,7]=>011010=>[2,1,2,2] [4,6,2,1,5,7,3]=>011001=>[2,1,3,1] [4,6,2,1,7,3,5]=>011010=>[2,1,2,2] [4,6,2,1,7,5,3]=>011011=>[2,1,2,1,1] [4,6,2,3,1,5,7]=>010100=>[2,2,3] [4,6,2,3,1,7,5]=>010101=>[2,2,2,1] [4,6,2,3,5,1,7]=>010010=>[2,3,2] [4,6,2,3,5,7,1]=>010001=>[2,4,1] [4,6,2,3,7,1,5]=>010010=>[2,3,2] [4,6,2,3,7,5,1]=>010011=>[2,3,1,1] [4,6,2,5,1,3,7]=>010100=>[2,2,3] [4,6,2,5,1,7,3]=>010101=>[2,2,2,1] [4,6,2,5,3,1,7]=>010110=>[2,2,1,2] [4,6,2,5,3,7,1]=>010101=>[2,2,2,1] [4,6,2,5,7,1,3]=>010010=>[2,3,2] [4,6,2,5,7,3,1]=>010011=>[2,3,1,1] [4,6,2,7,1,3,5]=>010100=>[2,2,3] [4,6,2,7,1,5,3]=>010101=>[2,2,2,1] [4,6,2,7,3,1,5]=>010110=>[2,2,1,2] [4,6,2,7,3,5,1]=>010101=>[2,2,2,1] [4,6,2,7,5,1,3]=>010110=>[2,2,1,2] [4,6,2,7,5,3,1]=>010111=>[2,2,1,1,1] [4,6,3,1,2,5,7]=>011000=>[2,1,4] [4,6,3,1,2,7,5]=>011001=>[2,1,3,1] [4,6,3,1,5,2,7]=>011010=>[2,1,2,2] [4,6,3,1,5,7,2]=>011001=>[2,1,3,1] [4,6,3,1,7,2,5]=>011010=>[2,1,2,2] [4,6,3,1,7,5,2]=>011011=>[2,1,2,1,1] [4,6,3,2,1,5,7]=>011100=>[2,1,1,3] [4,6,3,2,1,7,5]=>011101=>[2,1,1,2,1] [4,6,3,2,5,1,7]=>011010=>[2,1,2,2] [4,6,3,2,5,7,1]=>011001=>[2,1,3,1] [4,6,3,2,7,1,5]=>011010=>[2,1,2,2] [4,6,3,2,7,5,1]=>011011=>[2,1,2,1,1] [4,6,3,5,1,2,7]=>010100=>[2,2,3] [4,6,3,5,1,7,2]=>010101=>[2,2,2,1] [4,6,3,5,2,1,7]=>010110=>[2,2,1,2] [4,6,3,5,2,7,1]=>010101=>[2,2,2,1] [4,6,3,5,7,1,2]=>010010=>[2,3,2] [4,6,3,5,7,2,1]=>010011=>[2,3,1,1] [4,6,3,7,1,2,5]=>010100=>[2,2,3] [4,6,3,7,1,5,2]=>010101=>[2,2,2,1] [4,6,3,7,2,1,5]=>010110=>[2,2,1,2] [4,6,3,7,2,5,1]=>010101=>[2,2,2,1] [4,6,3,7,5,1,2]=>010110=>[2,2,1,2] [4,6,3,7,5,2,1]=>010111=>[2,2,1,1,1] [4,6,5,1,2,3,7]=>011000=>[2,1,4] [4,6,5,1,2,7,3]=>011001=>[2,1,3,1] [4,6,5,1,3,2,7]=>011010=>[2,1,2,2] [4,6,5,1,3,7,2]=>011001=>[2,1,3,1] [4,6,5,1,7,2,3]=>011010=>[2,1,2,2] [4,6,5,1,7,3,2]=>011011=>[2,1,2,1,1] [4,6,5,2,1,3,7]=>011100=>[2,1,1,3] [4,6,5,2,1,7,3]=>011101=>[2,1,1,2,1] [4,6,5,2,3,1,7]=>011010=>[2,1,2,2] [4,6,5,2,3,7,1]=>011001=>[2,1,3,1] [4,6,5,2,7,1,3]=>011010=>[2,1,2,2] [4,6,5,2,7,3,1]=>011011=>[2,1,2,1,1] [4,6,5,3,1,2,7]=>011100=>[2,1,1,3] [4,6,5,3,1,7,2]=>011101=>[2,1,1,2,1] [4,6,5,3,2,1,7]=>011110=>[2,1,1,1,2] [4,6,5,3,2,7,1]=>011101=>[2,1,1,2,1] [4,6,5,3,7,1,2]=>011010=>[2,1,2,2] [4,6,5,3,7,2,1]=>011011=>[2,1,2,1,1] [4,6,5,7,1,2,3]=>010100=>[2,2,3] [4,6,5,7,1,3,2]=>010101=>[2,2,2,1] [4,6,5,7,2,1,3]=>010110=>[2,2,1,2] [4,6,5,7,2,3,1]=>010101=>[2,2,2,1] [4,6,5,7,3,1,2]=>010110=>[2,2,1,2] [4,6,5,7,3,2,1]=>010111=>[2,2,1,1,1] [4,6,7,1,2,3,5]=>001000=>[3,4] [4,6,7,1,2,5,3]=>001001=>[3,3,1] [4,6,7,1,3,2,5]=>001010=>[3,2,2] [4,6,7,1,3,5,2]=>001001=>[3,3,1] [4,6,7,1,5,2,3]=>001010=>[3,2,2] [4,6,7,1,5,3,2]=>001011=>[3,2,1,1] [4,6,7,2,1,3,5]=>001100=>[3,1,3] [4,6,7,2,1,5,3]=>001101=>[3,1,2,1] [4,6,7,2,3,1,5]=>001010=>[3,2,2] [4,6,7,2,3,5,1]=>001001=>[3,3,1] [4,6,7,2,5,1,3]=>001010=>[3,2,2] [4,6,7,2,5,3,1]=>001011=>[3,2,1,1] [4,6,7,3,1,2,5]=>001100=>[3,1,3] [4,6,7,3,1,5,2]=>001101=>[3,1,2,1] [4,6,7,3,2,1,5]=>001110=>[3,1,1,2] [4,6,7,3,2,5,1]=>001101=>[3,1,2,1] [4,6,7,3,5,1,2]=>001010=>[3,2,2] [4,6,7,3,5,2,1]=>001011=>[3,2,1,1] [4,6,7,5,1,2,3]=>001100=>[3,1,3] [4,6,7,5,1,3,2]=>001101=>[3,1,2,1] [4,6,7,5,2,1,3]=>001110=>[3,1,1,2] [4,6,7,5,2,3,1]=>001101=>[3,1,2,1] [4,6,7,5,3,1,2]=>001110=>[3,1,1,2] [4,6,7,5,3,2,1]=>001111=>[3,1,1,1,1] [4,7,1,2,3,5,6]=>010000=>[2,5] [4,7,1,2,3,6,5]=>010001=>[2,4,1] [4,7,1,2,5,3,6]=>010010=>[2,3,2] [4,7,1,2,5,6,3]=>010001=>[2,4,1] [4,7,1,2,6,3,5]=>010010=>[2,3,2] [4,7,1,2,6,5,3]=>010011=>[2,3,1,1] [4,7,1,3,2,5,6]=>010100=>[2,2,3] [4,7,1,3,2,6,5]=>010101=>[2,2,2,1] [4,7,1,3,5,2,6]=>010010=>[2,3,2] [4,7,1,3,5,6,2]=>010001=>[2,4,1] [4,7,1,3,6,2,5]=>010010=>[2,3,2] [4,7,1,3,6,5,2]=>010011=>[2,3,1,1] [4,7,1,5,2,3,6]=>010100=>[2,2,3] [4,7,1,5,2,6,3]=>010101=>[2,2,2,1] [4,7,1,5,3,2,6]=>010110=>[2,2,1,2] [4,7,1,5,3,6,2]=>010101=>[2,2,2,1] [4,7,1,5,6,2,3]=>010010=>[2,3,2] [4,7,1,5,6,3,2]=>010011=>[2,3,1,1] [4,7,1,6,2,3,5]=>010100=>[2,2,3] [4,7,1,6,2,5,3]=>010101=>[2,2,2,1] [4,7,1,6,3,2,5]=>010110=>[2,2,1,2] [4,7,1,6,3,5,2]=>010101=>[2,2,2,1] [4,7,1,6,5,2,3]=>010110=>[2,2,1,2] [4,7,1,6,5,3,2]=>010111=>[2,2,1,1,1] [4,7,2,1,3,5,6]=>011000=>[2,1,4] [4,7,2,1,3,6,5]=>011001=>[2,1,3,1] [4,7,2,1,5,3,6]=>011010=>[2,1,2,2] [4,7,2,1,5,6,3]=>011001=>[2,1,3,1] [4,7,2,1,6,3,5]=>011010=>[2,1,2,2] [4,7,2,1,6,5,3]=>011011=>[2,1,2,1,1] [4,7,2,3,1,5,6]=>010100=>[2,2,3] [4,7,2,3,1,6,5]=>010101=>[2,2,2,1] [4,7,2,3,5,1,6]=>010010=>[2,3,2] [4,7,2,3,5,6,1]=>010001=>[2,4,1] [4,7,2,3,6,1,5]=>010010=>[2,3,2] [4,7,2,3,6,5,1]=>010011=>[2,3,1,1] [4,7,2,5,1,3,6]=>010100=>[2,2,3] [4,7,2,5,1,6,3]=>010101=>[2,2,2,1] [4,7,2,5,3,1,6]=>010110=>[2,2,1,2] [4,7,2,5,3,6,1]=>010101=>[2,2,2,1] [4,7,2,5,6,1,3]=>010010=>[2,3,2] [4,7,2,5,6,3,1]=>010011=>[2,3,1,1] [4,7,2,6,1,3,5]=>010100=>[2,2,3] [4,7,2,6,1,5,3]=>010101=>[2,2,2,1] [4,7,2,6,3,1,5]=>010110=>[2,2,1,2] [4,7,2,6,3,5,1]=>010101=>[2,2,2,1] [4,7,2,6,5,1,3]=>010110=>[2,2,1,2] [4,7,2,6,5,3,1]=>010111=>[2,2,1,1,1] [4,7,3,1,2,5,6]=>011000=>[2,1,4] [4,7,3,1,2,6,5]=>011001=>[2,1,3,1] [4,7,3,1,5,2,6]=>011010=>[2,1,2,2] [4,7,3,1,5,6,2]=>011001=>[2,1,3,1] [4,7,3,1,6,2,5]=>011010=>[2,1,2,2] [4,7,3,1,6,5,2]=>011011=>[2,1,2,1,1] [4,7,3,2,1,5,6]=>011100=>[2,1,1,3] [4,7,3,2,1,6,5]=>011101=>[2,1,1,2,1] [4,7,3,2,5,1,6]=>011010=>[2,1,2,2] [4,7,3,2,5,6,1]=>011001=>[2,1,3,1] [4,7,3,2,6,1,5]=>011010=>[2,1,2,2] [4,7,3,2,6,5,1]=>011011=>[2,1,2,1,1] [4,7,3,5,1,2,6]=>010100=>[2,2,3] [4,7,3,5,1,6,2]=>010101=>[2,2,2,1] [4,7,3,5,2,1,6]=>010110=>[2,2,1,2] [4,7,3,5,2,6,1]=>010101=>[2,2,2,1] [4,7,3,5,6,1,2]=>010010=>[2,3,2] [4,7,3,5,6,2,1]=>010011=>[2,3,1,1] [4,7,3,6,1,2,5]=>010100=>[2,2,3] [4,7,3,6,1,5,2]=>010101=>[2,2,2,1] [4,7,3,6,2,1,5]=>010110=>[2,2,1,2] [4,7,3,6,2,5,1]=>010101=>[2,2,2,1] [4,7,3,6,5,1,2]=>010110=>[2,2,1,2] [4,7,3,6,5,2,1]=>010111=>[2,2,1,1,1] [4,7,5,1,2,3,6]=>011000=>[2,1,4] [4,7,5,1,2,6,3]=>011001=>[2,1,3,1] [4,7,5,1,3,2,6]=>011010=>[2,1,2,2] [4,7,5,1,3,6,2]=>011001=>[2,1,3,1] [4,7,5,1,6,2,3]=>011010=>[2,1,2,2] [4,7,5,1,6,3,2]=>011011=>[2,1,2,1,1] [4,7,5,2,1,3,6]=>011100=>[2,1,1,3] [4,7,5,2,1,6,3]=>011101=>[2,1,1,2,1] [4,7,5,2,3,1,6]=>011010=>[2,1,2,2] [4,7,5,2,3,6,1]=>011001=>[2,1,3,1] [4,7,5,2,6,1,3]=>011010=>[2,1,2,2] [4,7,5,2,6,3,1]=>011011=>[2,1,2,1,1] [4,7,5,3,1,2,6]=>011100=>[2,1,1,3] [4,7,5,3,1,6,2]=>011101=>[2,1,1,2,1] [4,7,5,3,2,1,6]=>011110=>[2,1,1,1,2] [4,7,5,3,2,6,1]=>011101=>[2,1,1,2,1] [4,7,5,3,6,1,2]=>011010=>[2,1,2,2] [4,7,5,3,6,2,1]=>011011=>[2,1,2,1,1] [4,7,5,6,1,2,3]=>010100=>[2,2,3] [4,7,5,6,1,3,2]=>010101=>[2,2,2,1] [4,7,5,6,2,1,3]=>010110=>[2,2,1,2] [4,7,5,6,2,3,1]=>010101=>[2,2,2,1] [4,7,5,6,3,1,2]=>010110=>[2,2,1,2] [4,7,5,6,3,2,1]=>010111=>[2,2,1,1,1] [4,7,6,1,2,3,5]=>011000=>[2,1,4] [4,7,6,1,2,5,3]=>011001=>[2,1,3,1] [4,7,6,1,3,2,5]=>011010=>[2,1,2,2] [4,7,6,1,3,5,2]=>011001=>[2,1,3,1] [4,7,6,1,5,2,3]=>011010=>[2,1,2,2] [4,7,6,1,5,3,2]=>011011=>[2,1,2,1,1] [4,7,6,2,1,3,5]=>011100=>[2,1,1,3] [4,7,6,2,1,5,3]=>011101=>[2,1,1,2,1] [4,7,6,2,3,1,5]=>011010=>[2,1,2,2] [4,7,6,2,3,5,1]=>011001=>[2,1,3,1] [4,7,6,2,5,1,3]=>011010=>[2,1,2,2] [4,7,6,2,5,3,1]=>011011=>[2,1,2,1,1] [4,7,6,3,1,2,5]=>011100=>[2,1,1,3] [4,7,6,3,1,5,2]=>011101=>[2,1,1,2,1] [4,7,6,3,2,1,5]=>011110=>[2,1,1,1,2] [4,7,6,3,2,5,1]=>011101=>[2,1,1,2,1] [4,7,6,3,5,1,2]=>011010=>[2,1,2,2] [4,7,6,3,5,2,1]=>011011=>[2,1,2,1,1] [4,7,6,5,1,2,3]=>011100=>[2,1,1,3] [4,7,6,5,1,3,2]=>011101=>[2,1,1,2,1] [4,7,6,5,2,1,3]=>011110=>[2,1,1,1,2] [4,7,6,5,2,3,1]=>011101=>[2,1,1,2,1] [4,7,6,5,3,1,2]=>011110=>[2,1,1,1,2] [4,7,6,5,3,2,1]=>011111=>[2,1,1,1,1,1] [5,1,2,3,4,6,7]=>100000=>[1,6] [5,1,2,3,4,7,6]=>100001=>[1,5,1] [5,1,2,3,6,4,7]=>100010=>[1,4,2] [5,1,2,3,6,7,4]=>100001=>[1,5,1] [5,1,2,3,7,4,6]=>100010=>[1,4,2] [5,1,2,3,7,6,4]=>100011=>[1,4,1,1] [5,1,2,4,3,6,7]=>100100=>[1,3,3] [5,1,2,4,3,7,6]=>100101=>[1,3,2,1] [5,1,2,4,6,3,7]=>100010=>[1,4,2] [5,1,2,4,6,7,3]=>100001=>[1,5,1] [5,1,2,4,7,3,6]=>100010=>[1,4,2] [5,1,2,4,7,6,3]=>100011=>[1,4,1,1] [5,1,2,6,3,4,7]=>100100=>[1,3,3] [5,1,2,6,3,7,4]=>100101=>[1,3,2,1] [5,1,2,6,4,3,7]=>100110=>[1,3,1,2] [5,1,2,6,4,7,3]=>100101=>[1,3,2,1] [5,1,2,6,7,3,4]=>100010=>[1,4,2] [5,1,2,6,7,4,3]=>100011=>[1,4,1,1] [5,1,2,7,3,4,6]=>100100=>[1,3,3] [5,1,2,7,3,6,4]=>100101=>[1,3,2,1] [5,1,2,7,4,3,6]=>100110=>[1,3,1,2] [5,1,2,7,4,6,3]=>100101=>[1,3,2,1] [5,1,2,7,6,3,4]=>100110=>[1,3,1,2] [5,1,2,7,6,4,3]=>100111=>[1,3,1,1,1] [5,1,3,2,4,6,7]=>101000=>[1,2,4] [5,1,3,2,4,7,6]=>101001=>[1,2,3,1] [5,1,3,2,6,4,7]=>101010=>[1,2,2,2] [5,1,3,2,6,7,4]=>101001=>[1,2,3,1] [5,1,3,2,7,4,6]=>101010=>[1,2,2,2] [5,1,3,2,7,6,4]=>101011=>[1,2,2,1,1] [5,1,3,4,2,6,7]=>100100=>[1,3,3] [5,1,3,4,2,7,6]=>100101=>[1,3,2,1] [5,1,3,4,6,2,7]=>100010=>[1,4,2] [5,1,3,4,6,7,2]=>100001=>[1,5,1] [5,1,3,4,7,2,6]=>100010=>[1,4,2] [5,1,3,4,7,6,2]=>100011=>[1,4,1,1] [5,1,3,6,2,4,7]=>100100=>[1,3,3] [5,1,3,6,2,7,4]=>100101=>[1,3,2,1] [5,1,3,6,4,2,7]=>100110=>[1,3,1,2] [5,1,3,6,4,7,2]=>100101=>[1,3,2,1] [5,1,3,6,7,2,4]=>100010=>[1,4,2] [5,1,3,6,7,4,2]=>100011=>[1,4,1,1] [5,1,3,7,2,4,6]=>100100=>[1,3,3] [5,1,3,7,2,6,4]=>100101=>[1,3,2,1] [5,1,3,7,4,2,6]=>100110=>[1,3,1,2] [5,1,3,7,4,6,2]=>100101=>[1,3,2,1] [5,1,3,7,6,2,4]=>100110=>[1,3,1,2] [5,1,3,7,6,4,2]=>100111=>[1,3,1,1,1] [5,1,4,2,3,6,7]=>101000=>[1,2,4] [5,1,4,2,3,7,6]=>101001=>[1,2,3,1] [5,1,4,2,6,3,7]=>101010=>[1,2,2,2] [5,1,4,2,6,7,3]=>101001=>[1,2,3,1] [5,1,4,2,7,3,6]=>101010=>[1,2,2,2] [5,1,4,2,7,6,3]=>101011=>[1,2,2,1,1] [5,1,4,3,2,6,7]=>101100=>[1,2,1,3] [5,1,4,3,2,7,6]=>101101=>[1,2,1,2,1] [5,1,4,3,6,2,7]=>101010=>[1,2,2,2] [5,1,4,3,6,7,2]=>101001=>[1,2,3,1] [5,1,4,3,7,2,6]=>101010=>[1,2,2,2] [5,1,4,3,7,6,2]=>101011=>[1,2,2,1,1] [5,1,4,6,2,3,7]=>100100=>[1,3,3] [5,1,4,6,2,7,3]=>100101=>[1,3,2,1] [5,1,4,6,3,2,7]=>100110=>[1,3,1,2] [5,1,4,6,3,7,2]=>100101=>[1,3,2,1] [5,1,4,6,7,2,3]=>100010=>[1,4,2] [5,1,4,6,7,3,2]=>100011=>[1,4,1,1] [5,1,4,7,2,3,6]=>100100=>[1,3,3] [5,1,4,7,2,6,3]=>100101=>[1,3,2,1] [5,1,4,7,3,2,6]=>100110=>[1,3,1,2] [5,1,4,7,3,6,2]=>100101=>[1,3,2,1] [5,1,4,7,6,2,3]=>100110=>[1,3,1,2] [5,1,4,7,6,3,2]=>100111=>[1,3,1,1,1] [5,1,6,2,3,4,7]=>101000=>[1,2,4] [5,1,6,2,3,7,4]=>101001=>[1,2,3,1] [5,1,6,2,4,3,7]=>101010=>[1,2,2,2] [5,1,6,2,4,7,3]=>101001=>[1,2,3,1] [5,1,6,2,7,3,4]=>101010=>[1,2,2,2] [5,1,6,2,7,4,3]=>101011=>[1,2,2,1,1] [5,1,6,3,2,4,7]=>101100=>[1,2,1,3] [5,1,6,3,2,7,4]=>101101=>[1,2,1,2,1] [5,1,6,3,4,2,7]=>101010=>[1,2,2,2] [5,1,6,3,4,7,2]=>101001=>[1,2,3,1] [5,1,6,3,7,2,4]=>101010=>[1,2,2,2] [5,1,6,3,7,4,2]=>101011=>[1,2,2,1,1] [5,1,6,4,2,3,7]=>101100=>[1,2,1,3] [5,1,6,4,2,7,3]=>101101=>[1,2,1,2,1] [5,1,6,4,3,2,7]=>101110=>[1,2,1,1,2] [5,1,6,4,3,7,2]=>101101=>[1,2,1,2,1] [5,1,6,4,7,2,3]=>101010=>[1,2,2,2] [5,1,6,4,7,3,2]=>101011=>[1,2,2,1,1] [5,1,6,7,2,3,4]=>100100=>[1,3,3] [5,1,6,7,2,4,3]=>100101=>[1,3,2,1] [5,1,6,7,3,2,4]=>100110=>[1,3,1,2] [5,1,6,7,3,4,2]=>100101=>[1,3,2,1] [5,1,6,7,4,2,3]=>100110=>[1,3,1,2] [5,1,6,7,4,3,2]=>100111=>[1,3,1,1,1] [5,1,7,2,3,4,6]=>101000=>[1,2,4] [5,1,7,2,3,6,4]=>101001=>[1,2,3,1] [5,1,7,2,4,3,6]=>101010=>[1,2,2,2] [5,1,7,2,4,6,3]=>101001=>[1,2,3,1] [5,1,7,2,6,3,4]=>101010=>[1,2,2,2] [5,1,7,2,6,4,3]=>101011=>[1,2,2,1,1] [5,1,7,3,2,4,6]=>101100=>[1,2,1,3] [5,1,7,3,2,6,4]=>101101=>[1,2,1,2,1] [5,1,7,3,4,2,6]=>101010=>[1,2,2,2] [5,1,7,3,4,6,2]=>101001=>[1,2,3,1] [5,1,7,3,6,2,4]=>101010=>[1,2,2,2] [5,1,7,3,6,4,2]=>101011=>[1,2,2,1,1] [5,1,7,4,2,3,6]=>101100=>[1,2,1,3] [5,1,7,4,2,6,3]=>101101=>[1,2,1,2,1] [5,1,7,4,3,2,6]=>101110=>[1,2,1,1,2] [5,1,7,4,3,6,2]=>101101=>[1,2,1,2,1] [5,1,7,4,6,2,3]=>101010=>[1,2,2,2] [5,1,7,4,6,3,2]=>101011=>[1,2,2,1,1] [5,1,7,6,2,3,4]=>101100=>[1,2,1,3] [5,1,7,6,2,4,3]=>101101=>[1,2,1,2,1] [5,1,7,6,3,2,4]=>101110=>[1,2,1,1,2] [5,1,7,6,3,4,2]=>101101=>[1,2,1,2,1] [5,1,7,6,4,2,3]=>101110=>[1,2,1,1,2] [5,1,7,6,4,3,2]=>101111=>[1,2,1,1,1,1] [5,2,1,3,4,6,7]=>110000=>[1,1,5] [5,2,1,3,4,7,6]=>110001=>[1,1,4,1] [5,2,1,3,6,4,7]=>110010=>[1,1,3,2] [5,2,1,3,6,7,4]=>110001=>[1,1,4,1] [5,2,1,3,7,4,6]=>110010=>[1,1,3,2] [5,2,1,3,7,6,4]=>110011=>[1,1,3,1,1] [5,2,1,4,3,6,7]=>110100=>[1,1,2,3] [5,2,1,4,3,7,6]=>110101=>[1,1,2,2,1] [5,2,1,4,6,3,7]=>110010=>[1,1,3,2] [5,2,1,4,6,7,3]=>110001=>[1,1,4,1] [5,2,1,4,7,3,6]=>110010=>[1,1,3,2] [5,2,1,4,7,6,3]=>110011=>[1,1,3,1,1] [5,2,1,6,3,4,7]=>110100=>[1,1,2,3] [5,2,1,6,3,7,4]=>110101=>[1,1,2,2,1] [5,2,1,6,4,3,7]=>110110=>[1,1,2,1,2] [5,2,1,6,4,7,3]=>110101=>[1,1,2,2,1] [5,2,1,6,7,3,4]=>110010=>[1,1,3,2] [5,2,1,6,7,4,3]=>110011=>[1,1,3,1,1] [5,2,1,7,3,4,6]=>110100=>[1,1,2,3] [5,2,1,7,3,6,4]=>110101=>[1,1,2,2,1] [5,2,1,7,4,3,6]=>110110=>[1,1,2,1,2] [5,2,1,7,4,6,3]=>110101=>[1,1,2,2,1] [5,2,1,7,6,3,4]=>110110=>[1,1,2,1,2] [5,2,1,7,6,4,3]=>110111=>[1,1,2,1,1,1] [5,2,3,1,4,6,7]=>101000=>[1,2,4] [5,2,3,1,4,7,6]=>101001=>[1,2,3,1] [5,2,3,1,6,4,7]=>101010=>[1,2,2,2] [5,2,3,1,6,7,4]=>101001=>[1,2,3,1] [5,2,3,1,7,4,6]=>101010=>[1,2,2,2] [5,2,3,1,7,6,4]=>101011=>[1,2,2,1,1] [5,2,3,4,1,6,7]=>100100=>[1,3,3] [5,2,3,4,1,7,6]=>100101=>[1,3,2,1] [5,2,3,4,6,1,7]=>100010=>[1,4,2] [5,2,3,4,6,7,1]=>100001=>[1,5,1] [5,2,3,4,7,1,6]=>100010=>[1,4,2] [5,2,3,4,7,6,1]=>100011=>[1,4,1,1] [5,2,3,6,1,4,7]=>100100=>[1,3,3] [5,2,3,6,1,7,4]=>100101=>[1,3,2,1] [5,2,3,6,4,1,7]=>100110=>[1,3,1,2] [5,2,3,6,4,7,1]=>100101=>[1,3,2,1] [5,2,3,6,7,1,4]=>100010=>[1,4,2] [5,2,3,6,7,4,1]=>100011=>[1,4,1,1] [5,2,3,7,1,4,6]=>100100=>[1,3,3] [5,2,3,7,1,6,4]=>100101=>[1,3,2,1] [5,2,3,7,4,1,6]=>100110=>[1,3,1,2] [5,2,3,7,4,6,1]=>100101=>[1,3,2,1] [5,2,3,7,6,1,4]=>100110=>[1,3,1,2] [5,2,3,7,6,4,1]=>100111=>[1,3,1,1,1] [5,2,4,1,3,6,7]=>101000=>[1,2,4] [5,2,4,1,3,7,6]=>101001=>[1,2,3,1] [5,2,4,1,6,3,7]=>101010=>[1,2,2,2] [5,2,4,1,6,7,3]=>101001=>[1,2,3,1] [5,2,4,1,7,3,6]=>101010=>[1,2,2,2] [5,2,4,1,7,6,3]=>101011=>[1,2,2,1,1] [5,2,4,3,1,6,7]=>101100=>[1,2,1,3] [5,2,4,3,1,7,6]=>101101=>[1,2,1,2,1] [5,2,4,3,6,1,7]=>101010=>[1,2,2,2] [5,2,4,3,6,7,1]=>101001=>[1,2,3,1] [5,2,4,3,7,1,6]=>101010=>[1,2,2,2] [5,2,4,3,7,6,1]=>101011=>[1,2,2,1,1] [5,2,4,6,1,3,7]=>100100=>[1,3,3] [5,2,4,6,1,7,3]=>100101=>[1,3,2,1] [5,2,4,6,3,1,7]=>100110=>[1,3,1,2] [5,2,4,6,3,7,1]=>100101=>[1,3,2,1] [5,2,4,6,7,1,3]=>100010=>[1,4,2] [5,2,4,6,7,3,1]=>100011=>[1,4,1,1] [5,2,4,7,1,3,6]=>100100=>[1,3,3] [5,2,4,7,1,6,3]=>100101=>[1,3,2,1] [5,2,4,7,3,1,6]=>100110=>[1,3,1,2] [5,2,4,7,3,6,1]=>100101=>[1,3,2,1] [5,2,4,7,6,1,3]=>100110=>[1,3,1,2] [5,2,4,7,6,3,1]=>100111=>[1,3,1,1,1] [5,2,6,1,3,4,7]=>101000=>[1,2,4] [5,2,6,1,3,7,4]=>101001=>[1,2,3,1] [5,2,6,1,4,3,7]=>101010=>[1,2,2,2] [5,2,6,1,4,7,3]=>101001=>[1,2,3,1] [5,2,6,1,7,3,4]=>101010=>[1,2,2,2] [5,2,6,1,7,4,3]=>101011=>[1,2,2,1,1] [5,2,6,3,1,4,7]=>101100=>[1,2,1,3] [5,2,6,3,1,7,4]=>101101=>[1,2,1,2,1] [5,2,6,3,4,1,7]=>101010=>[1,2,2,2] [5,2,6,3,4,7,1]=>101001=>[1,2,3,1] [5,2,6,3,7,1,4]=>101010=>[1,2,2,2] [5,2,6,3,7,4,1]=>101011=>[1,2,2,1,1] [5,2,6,4,1,3,7]=>101100=>[1,2,1,3] [5,2,6,4,1,7,3]=>101101=>[1,2,1,2,1] [5,2,6,4,3,1,7]=>101110=>[1,2,1,1,2] [5,2,6,4,3,7,1]=>101101=>[1,2,1,2,1] [5,2,6,4,7,1,3]=>101010=>[1,2,2,2] [5,2,6,4,7,3,1]=>101011=>[1,2,2,1,1] [5,2,6,7,1,3,4]=>100100=>[1,3,3] [5,2,6,7,1,4,3]=>100101=>[1,3,2,1] [5,2,6,7,3,1,4]=>100110=>[1,3,1,2] [5,2,6,7,3,4,1]=>100101=>[1,3,2,1] [5,2,6,7,4,1,3]=>100110=>[1,3,1,2] [5,2,6,7,4,3,1]=>100111=>[1,3,1,1,1] [5,2,7,1,3,4,6]=>101000=>[1,2,4] [5,2,7,1,3,6,4]=>101001=>[1,2,3,1] [5,2,7,1,4,3,6]=>101010=>[1,2,2,2] [5,2,7,1,4,6,3]=>101001=>[1,2,3,1] [5,2,7,1,6,3,4]=>101010=>[1,2,2,2] [5,2,7,1,6,4,3]=>101011=>[1,2,2,1,1] [5,2,7,3,1,4,6]=>101100=>[1,2,1,3] [5,2,7,3,1,6,4]=>101101=>[1,2,1,2,1] [5,2,7,3,4,1,6]=>101010=>[1,2,2,2] [5,2,7,3,4,6,1]=>101001=>[1,2,3,1] [5,2,7,3,6,1,4]=>101010=>[1,2,2,2] [5,2,7,3,6,4,1]=>101011=>[1,2,2,1,1] [5,2,7,4,1,3,6]=>101100=>[1,2,1,3] [5,2,7,4,1,6,3]=>101101=>[1,2,1,2,1] [5,2,7,4,3,1,6]=>101110=>[1,2,1,1,2] [5,2,7,4,3,6,1]=>101101=>[1,2,1,2,1] [5,2,7,4,6,1,3]=>101010=>[1,2,2,2] [5,2,7,4,6,3,1]=>101011=>[1,2,2,1,1] [5,2,7,6,1,3,4]=>101100=>[1,2,1,3] [5,2,7,6,1,4,3]=>101101=>[1,2,1,2,1] [5,2,7,6,3,1,4]=>101110=>[1,2,1,1,2] [5,2,7,6,3,4,1]=>101101=>[1,2,1,2,1] [5,2,7,6,4,1,3]=>101110=>[1,2,1,1,2] [5,2,7,6,4,3,1]=>101111=>[1,2,1,1,1,1] [5,3,1,2,4,6,7]=>110000=>[1,1,5] [5,3,1,2,4,7,6]=>110001=>[1,1,4,1] [5,3,1,2,6,4,7]=>110010=>[1,1,3,2] [5,3,1,2,6,7,4]=>110001=>[1,1,4,1] [5,3,1,2,7,4,6]=>110010=>[1,1,3,2] [5,3,1,2,7,6,4]=>110011=>[1,1,3,1,1] [5,3,1,4,2,6,7]=>110100=>[1,1,2,3] [5,3,1,4,2,7,6]=>110101=>[1,1,2,2,1] [5,3,1,4,6,2,7]=>110010=>[1,1,3,2] [5,3,1,4,6,7,2]=>110001=>[1,1,4,1] [5,3,1,4,7,2,6]=>110010=>[1,1,3,2] [5,3,1,4,7,6,2]=>110011=>[1,1,3,1,1] [5,3,1,6,2,4,7]=>110100=>[1,1,2,3] [5,3,1,6,2,7,4]=>110101=>[1,1,2,2,1] [5,3,1,6,4,2,7]=>110110=>[1,1,2,1,2] [5,3,1,6,4,7,2]=>110101=>[1,1,2,2,1] [5,3,1,6,7,2,4]=>110010=>[1,1,3,2] [5,3,1,6,7,4,2]=>110011=>[1,1,3,1,1] [5,3,1,7,2,4,6]=>110100=>[1,1,2,3] [5,3,1,7,2,6,4]=>110101=>[1,1,2,2,1] [5,3,1,7,4,2,6]=>110110=>[1,1,2,1,2] [5,3,1,7,4,6,2]=>110101=>[1,1,2,2,1] [5,3,1,7,6,2,4]=>110110=>[1,1,2,1,2] [5,3,1,7,6,4,2]=>110111=>[1,1,2,1,1,1] [5,3,2,1,4,6,7]=>111000=>[1,1,1,4] [5,3,2,1,4,7,6]=>111001=>[1,1,1,3,1] [5,3,2,1,6,4,7]=>111010=>[1,1,1,2,2] [5,3,2,1,6,7,4]=>111001=>[1,1,1,3,1] [5,3,2,1,7,4,6]=>111010=>[1,1,1,2,2] [5,3,2,1,7,6,4]=>111011=>[1,1,1,2,1,1] [5,3,2,4,1,6,7]=>110100=>[1,1,2,3] [5,3,2,4,1,7,6]=>110101=>[1,1,2,2,1] [5,3,2,4,6,1,7]=>110010=>[1,1,3,2] [5,3,2,4,6,7,1]=>110001=>[1,1,4,1] [5,3,2,4,7,1,6]=>110010=>[1,1,3,2] [5,3,2,4,7,6,1]=>110011=>[1,1,3,1,1] [5,3,2,6,1,4,7]=>110100=>[1,1,2,3] [5,3,2,6,1,7,4]=>110101=>[1,1,2,2,1] [5,3,2,6,4,1,7]=>110110=>[1,1,2,1,2] [5,3,2,6,4,7,1]=>110101=>[1,1,2,2,1] [5,3,2,6,7,1,4]=>110010=>[1,1,3,2] [5,3,2,6,7,4,1]=>110011=>[1,1,3,1,1] [5,3,2,7,1,4,6]=>110100=>[1,1,2,3] [5,3,2,7,1,6,4]=>110101=>[1,1,2,2,1] [5,3,2,7,4,1,6]=>110110=>[1,1,2,1,2] [5,3,2,7,4,6,1]=>110101=>[1,1,2,2,1] [5,3,2,7,6,1,4]=>110110=>[1,1,2,1,2] [5,3,2,7,6,4,1]=>110111=>[1,1,2,1,1,1] [5,3,4,1,2,6,7]=>101000=>[1,2,4] [5,3,4,1,2,7,6]=>101001=>[1,2,3,1] [5,3,4,1,6,2,7]=>101010=>[1,2,2,2] [5,3,4,1,6,7,2]=>101001=>[1,2,3,1] [5,3,4,1,7,2,6]=>101010=>[1,2,2,2] [5,3,4,1,7,6,2]=>101011=>[1,2,2,1,1] [5,3,4,2,1,6,7]=>101100=>[1,2,1,3] [5,3,4,2,1,7,6]=>101101=>[1,2,1,2,1] [5,3,4,2,6,1,7]=>101010=>[1,2,2,2] [5,3,4,2,6,7,1]=>101001=>[1,2,3,1] [5,3,4,2,7,1,6]=>101010=>[1,2,2,2] [5,3,4,2,7,6,1]=>101011=>[1,2,2,1,1] [5,3,4,6,1,2,7]=>100100=>[1,3,3] [5,3,4,6,1,7,2]=>100101=>[1,3,2,1] [5,3,4,6,2,1,7]=>100110=>[1,3,1,2] [5,3,4,6,2,7,1]=>100101=>[1,3,2,1] [5,3,4,6,7,1,2]=>100010=>[1,4,2] [5,3,4,6,7,2,1]=>100011=>[1,4,1,1] [5,3,4,7,1,2,6]=>100100=>[1,3,3] [5,3,4,7,1,6,2]=>100101=>[1,3,2,1] [5,3,4,7,2,1,6]=>100110=>[1,3,1,2] [5,3,4,7,2,6,1]=>100101=>[1,3,2,1] [5,3,4,7,6,1,2]=>100110=>[1,3,1,2] [5,3,4,7,6,2,1]=>100111=>[1,3,1,1,1] [5,3,6,1,2,4,7]=>101000=>[1,2,4] [5,3,6,1,2,7,4]=>101001=>[1,2,3,1] [5,3,6,1,4,2,7]=>101010=>[1,2,2,2] [5,3,6,1,4,7,2]=>101001=>[1,2,3,1] [5,3,6,1,7,2,4]=>101010=>[1,2,2,2] [5,3,6,1,7,4,2]=>101011=>[1,2,2,1,1] [5,3,6,2,1,4,7]=>101100=>[1,2,1,3] [5,3,6,2,1,7,4]=>101101=>[1,2,1,2,1] [5,3,6,2,4,1,7]=>101010=>[1,2,2,2] [5,3,6,2,4,7,1]=>101001=>[1,2,3,1] [5,3,6,2,7,1,4]=>101010=>[1,2,2,2] [5,3,6,2,7,4,1]=>101011=>[1,2,2,1,1] [5,3,6,4,1,2,7]=>101100=>[1,2,1,3] [5,3,6,4,1,7,2]=>101101=>[1,2,1,2,1] [5,3,6,4,2,1,7]=>101110=>[1,2,1,1,2] [5,3,6,4,2,7,1]=>101101=>[1,2,1,2,1] [5,3,6,4,7,1,2]=>101010=>[1,2,2,2] [5,3,6,4,7,2,1]=>101011=>[1,2,2,1,1] [5,3,6,7,1,2,4]=>100100=>[1,3,3] [5,3,6,7,1,4,2]=>100101=>[1,3,2,1] [5,3,6,7,2,1,4]=>100110=>[1,3,1,2] [5,3,6,7,2,4,1]=>100101=>[1,3,2,1] [5,3,6,7,4,1,2]=>100110=>[1,3,1,2] [5,3,6,7,4,2,1]=>100111=>[1,3,1,1,1] [5,3,7,1,2,4,6]=>101000=>[1,2,4] [5,3,7,1,2,6,4]=>101001=>[1,2,3,1] [5,3,7,1,4,2,6]=>101010=>[1,2,2,2] [5,3,7,1,4,6,2]=>101001=>[1,2,3,1] [5,3,7,1,6,2,4]=>101010=>[1,2,2,2] [5,3,7,1,6,4,2]=>101011=>[1,2,2,1,1] [5,3,7,2,1,4,6]=>101100=>[1,2,1,3] [5,3,7,2,1,6,4]=>101101=>[1,2,1,2,1] [5,3,7,2,4,1,6]=>101010=>[1,2,2,2] [5,3,7,2,4,6,1]=>101001=>[1,2,3,1] [5,3,7,2,6,1,4]=>101010=>[1,2,2,2] [5,3,7,2,6,4,1]=>101011=>[1,2,2,1,1] [5,3,7,4,1,2,6]=>101100=>[1,2,1,3] [5,3,7,4,1,6,2]=>101101=>[1,2,1,2,1] [5,3,7,4,2,1,6]=>101110=>[1,2,1,1,2] [5,3,7,4,2,6,1]=>101101=>[1,2,1,2,1] [5,3,7,4,6,1,2]=>101010=>[1,2,2,2] [5,3,7,4,6,2,1]=>101011=>[1,2,2,1,1] [5,3,7,6,1,2,4]=>101100=>[1,2,1,3] [5,3,7,6,1,4,2]=>101101=>[1,2,1,2,1] [5,3,7,6,2,1,4]=>101110=>[1,2,1,1,2] [5,3,7,6,2,4,1]=>101101=>[1,2,1,2,1] [5,3,7,6,4,1,2]=>101110=>[1,2,1,1,2] [5,3,7,6,4,2,1]=>101111=>[1,2,1,1,1,1] [5,4,1,2,3,6,7]=>110000=>[1,1,5] [5,4,1,2,3,7,6]=>110001=>[1,1,4,1] [5,4,1,2,6,3,7]=>110010=>[1,1,3,2] [5,4,1,2,6,7,3]=>110001=>[1,1,4,1] [5,4,1,2,7,3,6]=>110010=>[1,1,3,2] [5,4,1,2,7,6,3]=>110011=>[1,1,3,1,1] [5,4,1,3,2,6,7]=>110100=>[1,1,2,3] [5,4,1,3,2,7,6]=>110101=>[1,1,2,2,1] [5,4,1,3,6,2,7]=>110010=>[1,1,3,2] [5,4,1,3,6,7,2]=>110001=>[1,1,4,1] [5,4,1,3,7,2,6]=>110010=>[1,1,3,2] [5,4,1,3,7,6,2]=>110011=>[1,1,3,1,1] [5,4,1,6,2,3,7]=>110100=>[1,1,2,3] [5,4,1,6,2,7,3]=>110101=>[1,1,2,2,1] [5,4,1,6,3,2,7]=>110110=>[1,1,2,1,2] [5,4,1,6,3,7,2]=>110101=>[1,1,2,2,1] [5,4,1,6,7,2,3]=>110010=>[1,1,3,2] [5,4,1,6,7,3,2]=>110011=>[1,1,3,1,1] [5,4,1,7,2,3,6]=>110100=>[1,1,2,3] [5,4,1,7,2,6,3]=>110101=>[1,1,2,2,1] [5,4,1,7,3,2,6]=>110110=>[1,1,2,1,2] [5,4,1,7,3,6,2]=>110101=>[1,1,2,2,1] [5,4,1,7,6,2,3]=>110110=>[1,1,2,1,2] [5,4,1,7,6,3,2]=>110111=>[1,1,2,1,1,1] [5,4,2,1,3,6,7]=>111000=>[1,1,1,4] [5,4,2,1,3,7,6]=>111001=>[1,1,1,3,1] [5,4,2,1,6,3,7]=>111010=>[1,1,1,2,2] [5,4,2,1,6,7,3]=>111001=>[1,1,1,3,1] [5,4,2,1,7,3,6]=>111010=>[1,1,1,2,2] [5,4,2,1,7,6,3]=>111011=>[1,1,1,2,1,1] [5,4,2,3,1,6,7]=>110100=>[1,1,2,3] [5,4,2,3,1,7,6]=>110101=>[1,1,2,2,1] [5,4,2,3,6,1,7]=>110010=>[1,1,3,2] [5,4,2,3,6,7,1]=>110001=>[1,1,4,1] [5,4,2,3,7,1,6]=>110010=>[1,1,3,2] [5,4,2,3,7,6,1]=>110011=>[1,1,3,1,1] [5,4,2,6,1,3,7]=>110100=>[1,1,2,3] [5,4,2,6,1,7,3]=>110101=>[1,1,2,2,1] [5,4,2,6,3,1,7]=>110110=>[1,1,2,1,2] [5,4,2,6,3,7,1]=>110101=>[1,1,2,2,1] [5,4,2,6,7,1,3]=>110010=>[1,1,3,2] [5,4,2,6,7,3,1]=>110011=>[1,1,3,1,1] [5,4,2,7,1,3,6]=>110100=>[1,1,2,3] [5,4,2,7,1,6,3]=>110101=>[1,1,2,2,1] [5,4,2,7,3,1,6]=>110110=>[1,1,2,1,2] [5,4,2,7,3,6,1]=>110101=>[1,1,2,2,1] [5,4,2,7,6,1,3]=>110110=>[1,1,2,1,2] [5,4,2,7,6,3,1]=>110111=>[1,1,2,1,1,1] [5,4,3,1,2,6,7]=>111000=>[1,1,1,4] [5,4,3,1,2,7,6]=>111001=>[1,1,1,3,1] [5,4,3,1,6,2,7]=>111010=>[1,1,1,2,2] [5,4,3,1,6,7,2]=>111001=>[1,1,1,3,1] [5,4,3,1,7,2,6]=>111010=>[1,1,1,2,2] [5,4,3,1,7,6,2]=>111011=>[1,1,1,2,1,1] [5,4,3,2,1,6,7]=>111100=>[1,1,1,1,3] [5,4,3,2,1,7,6]=>111101=>[1,1,1,1,2,1] [5,4,3,2,6,1,7]=>111010=>[1,1,1,2,2] [5,4,3,2,6,7,1]=>111001=>[1,1,1,3,1] [5,4,3,2,7,1,6]=>111010=>[1,1,1,2,2] [5,4,3,2,7,6,1]=>111011=>[1,1,1,2,1,1] [5,4,3,6,1,2,7]=>110100=>[1,1,2,3] [5,4,3,6,1,7,2]=>110101=>[1,1,2,2,1] [5,4,3,6,2,1,7]=>110110=>[1,1,2,1,2] [5,4,3,6,2,7,1]=>110101=>[1,1,2,2,1] [5,4,3,6,7,1,2]=>110010=>[1,1,3,2] [5,4,3,6,7,2,1]=>110011=>[1,1,3,1,1] [5,4,3,7,1,2,6]=>110100=>[1,1,2,3] [5,4,3,7,1,6,2]=>110101=>[1,1,2,2,1] [5,4,3,7,2,1,6]=>110110=>[1,1,2,1,2] [5,4,3,7,2,6,1]=>110101=>[1,1,2,2,1] [5,4,3,7,6,1,2]=>110110=>[1,1,2,1,2] [5,4,3,7,6,2,1]=>110111=>[1,1,2,1,1,1] [5,4,6,1,2,3,7]=>101000=>[1,2,4] [5,4,6,1,2,7,3]=>101001=>[1,2,3,1] [5,4,6,1,3,2,7]=>101010=>[1,2,2,2] [5,4,6,1,3,7,2]=>101001=>[1,2,3,1] [5,4,6,1,7,2,3]=>101010=>[1,2,2,2] [5,4,6,1,7,3,2]=>101011=>[1,2,2,1,1] [5,4,6,2,1,3,7]=>101100=>[1,2,1,3] [5,4,6,2,1,7,3]=>101101=>[1,2,1,2,1] [5,4,6,2,3,1,7]=>101010=>[1,2,2,2] [5,4,6,2,3,7,1]=>101001=>[1,2,3,1] [5,4,6,2,7,1,3]=>101010=>[1,2,2,2] [5,4,6,2,7,3,1]=>101011=>[1,2,2,1,1] [5,4,6,3,1,2,7]=>101100=>[1,2,1,3] [5,4,6,3,1,7,2]=>101101=>[1,2,1,2,1] [5,4,6,3,2,1,7]=>101110=>[1,2,1,1,2] [5,4,6,3,2,7,1]=>101101=>[1,2,1,2,1] [5,4,6,3,7,1,2]=>101010=>[1,2,2,2] [5,4,6,3,7,2,1]=>101011=>[1,2,2,1,1] [5,4,6,7,1,2,3]=>100100=>[1,3,3] [5,4,6,7,1,3,2]=>100101=>[1,3,2,1] [5,4,6,7,2,1,3]=>100110=>[1,3,1,2] [5,4,6,7,2,3,1]=>100101=>[1,3,2,1] [5,4,6,7,3,1,2]=>100110=>[1,3,1,2] [5,4,6,7,3,2,1]=>100111=>[1,3,1,1,1] [5,4,7,1,2,3,6]=>101000=>[1,2,4] [5,4,7,1,2,6,3]=>101001=>[1,2,3,1] [5,4,7,1,3,2,6]=>101010=>[1,2,2,2] [5,4,7,1,3,6,2]=>101001=>[1,2,3,1] [5,4,7,1,6,2,3]=>101010=>[1,2,2,2] [5,4,7,1,6,3,2]=>101011=>[1,2,2,1,1] [5,4,7,2,1,3,6]=>101100=>[1,2,1,3] [5,4,7,2,1,6,3]=>101101=>[1,2,1,2,1] [5,4,7,2,3,1,6]=>101010=>[1,2,2,2] [5,4,7,2,3,6,1]=>101001=>[1,2,3,1] [5,4,7,2,6,1,3]=>101010=>[1,2,2,2] [5,4,7,2,6,3,1]=>101011=>[1,2,2,1,1] [5,4,7,3,1,2,6]=>101100=>[1,2,1,3] [5,4,7,3,1,6,2]=>101101=>[1,2,1,2,1] [5,4,7,3,2,1,6]=>101110=>[1,2,1,1,2] [5,4,7,3,2,6,1]=>101101=>[1,2,1,2,1] [5,4,7,3,6,1,2]=>101010=>[1,2,2,2] [5,4,7,3,6,2,1]=>101011=>[1,2,2,1,1] [5,4,7,6,1,2,3]=>101100=>[1,2,1,3] [5,4,7,6,1,3,2]=>101101=>[1,2,1,2,1] [5,4,7,6,2,1,3]=>101110=>[1,2,1,1,2] [5,4,7,6,2,3,1]=>101101=>[1,2,1,2,1] [5,4,7,6,3,1,2]=>101110=>[1,2,1,1,2] [5,4,7,6,3,2,1]=>101111=>[1,2,1,1,1,1] [5,6,1,2,3,4,7]=>010000=>[2,5] [5,6,1,2,3,7,4]=>010001=>[2,4,1] [5,6,1,2,4,3,7]=>010010=>[2,3,2] [5,6,1,2,4,7,3]=>010001=>[2,4,1] [5,6,1,2,7,3,4]=>010010=>[2,3,2] [5,6,1,2,7,4,3]=>010011=>[2,3,1,1] [5,6,1,3,2,4,7]=>010100=>[2,2,3] [5,6,1,3,2,7,4]=>010101=>[2,2,2,1] [5,6,1,3,4,2,7]=>010010=>[2,3,2] [5,6,1,3,4,7,2]=>010001=>[2,4,1] [5,6,1,3,7,2,4]=>010010=>[2,3,2] [5,6,1,3,7,4,2]=>010011=>[2,3,1,1] [5,6,1,4,2,3,7]=>010100=>[2,2,3] [5,6,1,4,2,7,3]=>010101=>[2,2,2,1] [5,6,1,4,3,2,7]=>010110=>[2,2,1,2] [5,6,1,4,3,7,2]=>010101=>[2,2,2,1] [5,6,1,4,7,2,3]=>010010=>[2,3,2] [5,6,1,4,7,3,2]=>010011=>[2,3,1,1] [5,6,1,7,2,3,4]=>010100=>[2,2,3] [5,6,1,7,2,4,3]=>010101=>[2,2,2,1] [5,6,1,7,3,2,4]=>010110=>[2,2,1,2] [5,6,1,7,3,4,2]=>010101=>[2,2,2,1] [5,6,1,7,4,2,3]=>010110=>[2,2,1,2] [5,6,1,7,4,3,2]=>010111=>[2,2,1,1,1] [5,6,2,1,3,4,7]=>011000=>[2,1,4] [5,6,2,1,3,7,4]=>011001=>[2,1,3,1] [5,6,2,1,4,3,7]=>011010=>[2,1,2,2] [5,6,2,1,4,7,3]=>011001=>[2,1,3,1] [5,6,2,1,7,3,4]=>011010=>[2,1,2,2] [5,6,2,1,7,4,3]=>011011=>[2,1,2,1,1] [5,6,2,3,1,4,7]=>010100=>[2,2,3] [5,6,2,3,1,7,4]=>010101=>[2,2,2,1] [5,6,2,3,4,1,7]=>010010=>[2,3,2] [5,6,2,3,4,7,1]=>010001=>[2,4,1] [5,6,2,3,7,1,4]=>010010=>[2,3,2] [5,6,2,3,7,4,1]=>010011=>[2,3,1,1] [5,6,2,4,1,3,7]=>010100=>[2,2,3] [5,6,2,4,1,7,3]=>010101=>[2,2,2,1] [5,6,2,4,3,1,7]=>010110=>[2,2,1,2] [5,6,2,4,3,7,1]=>010101=>[2,2,2,1] [5,6,2,4,7,1,3]=>010010=>[2,3,2] [5,6,2,4,7,3,1]=>010011=>[2,3,1,1] [5,6,2,7,1,3,4]=>010100=>[2,2,3] [5,6,2,7,1,4,3]=>010101=>[2,2,2,1] [5,6,2,7,3,1,4]=>010110=>[2,2,1,2] [5,6,2,7,3,4,1]=>010101=>[2,2,2,1] [5,6,2,7,4,1,3]=>010110=>[2,2,1,2] [5,6,2,7,4,3,1]=>010111=>[2,2,1,1,1] [5,6,3,1,2,4,7]=>011000=>[2,1,4] [5,6,3,1,2,7,4]=>011001=>[2,1,3,1] [5,6,3,1,4,2,7]=>011010=>[2,1,2,2] [5,6,3,1,4,7,2]=>011001=>[2,1,3,1] [5,6,3,1,7,2,4]=>011010=>[2,1,2,2] [5,6,3,1,7,4,2]=>011011=>[2,1,2,1,1] [5,6,3,2,1,4,7]=>011100=>[2,1,1,3] [5,6,3,2,1,7,4]=>011101=>[2,1,1,2,1] [5,6,3,2,4,1,7]=>011010=>[2,1,2,2] [5,6,3,2,4,7,1]=>011001=>[2,1,3,1] [5,6,3,2,7,1,4]=>011010=>[2,1,2,2] [5,6,3,2,7,4,1]=>011011=>[2,1,2,1,1] [5,6,3,4,1,2,7]=>010100=>[2,2,3] [5,6,3,4,1,7,2]=>010101=>[2,2,2,1] [5,6,3,4,2,1,7]=>010110=>[2,2,1,2] [5,6,3,4,2,7,1]=>010101=>[2,2,2,1] [5,6,3,4,7,1,2]=>010010=>[2,3,2] [5,6,3,4,7,2,1]=>010011=>[2,3,1,1] [5,6,3,7,1,2,4]=>010100=>[2,2,3] [5,6,3,7,1,4,2]=>010101=>[2,2,2,1] [5,6,3,7,2,1,4]=>010110=>[2,2,1,2] [5,6,3,7,2,4,1]=>010101=>[2,2,2,1] [5,6,3,7,4,1,2]=>010110=>[2,2,1,2] [5,6,3,7,4,2,1]=>010111=>[2,2,1,1,1] [5,6,4,1,2,3,7]=>011000=>[2,1,4] [5,6,4,1,2,7,3]=>011001=>[2,1,3,1] [5,6,4,1,3,2,7]=>011010=>[2,1,2,2] [5,6,4,1,3,7,2]=>011001=>[2,1,3,1] [5,6,4,1,7,2,3]=>011010=>[2,1,2,2] [5,6,4,1,7,3,2]=>011011=>[2,1,2,1,1] [5,6,4,2,1,3,7]=>011100=>[2,1,1,3] [5,6,4,2,1,7,3]=>011101=>[2,1,1,2,1] [5,6,4,2,3,1,7]=>011010=>[2,1,2,2] [5,6,4,2,3,7,1]=>011001=>[2,1,3,1] [5,6,4,2,7,1,3]=>011010=>[2,1,2,2] [5,6,4,2,7,3,1]=>011011=>[2,1,2,1,1] [5,6,4,3,1,2,7]=>011100=>[2,1,1,3] [5,6,4,3,1,7,2]=>011101=>[2,1,1,2,1] [5,6,4,3,2,1,7]=>011110=>[2,1,1,1,2] [5,6,4,3,2,7,1]=>011101=>[2,1,1,2,1] [5,6,4,3,7,1,2]=>011010=>[2,1,2,2] [5,6,4,3,7,2,1]=>011011=>[2,1,2,1,1] [5,6,4,7,1,2,3]=>010100=>[2,2,3] [5,6,4,7,1,3,2]=>010101=>[2,2,2,1] [5,6,4,7,2,1,3]=>010110=>[2,2,1,2] [5,6,4,7,2,3,1]=>010101=>[2,2,2,1] [5,6,4,7,3,1,2]=>010110=>[2,2,1,2] [5,6,4,7,3,2,1]=>010111=>[2,2,1,1,1] [5,6,7,1,2,3,4]=>001000=>[3,4] [5,6,7,1,2,4,3]=>001001=>[3,3,1] [5,6,7,1,3,2,4]=>001010=>[3,2,2] [5,6,7,1,3,4,2]=>001001=>[3,3,1] [5,6,7,1,4,2,3]=>001010=>[3,2,2] [5,6,7,1,4,3,2]=>001011=>[3,2,1,1] [5,6,7,2,1,3,4]=>001100=>[3,1,3] [5,6,7,2,1,4,3]=>001101=>[3,1,2,1] [5,6,7,2,3,1,4]=>001010=>[3,2,2] [5,6,7,2,3,4,1]=>001001=>[3,3,1] [5,6,7,2,4,1,3]=>001010=>[3,2,2] [5,6,7,2,4,3,1]=>001011=>[3,2,1,1] [5,6,7,3,1,2,4]=>001100=>[3,1,3] [5,6,7,3,1,4,2]=>001101=>[3,1,2,1] [5,6,7,3,2,1,4]=>001110=>[3,1,1,2] [5,6,7,3,2,4,1]=>001101=>[3,1,2,1] [5,6,7,3,4,1,2]=>001010=>[3,2,2] [5,6,7,3,4,2,1]=>001011=>[3,2,1,1] [5,6,7,4,1,2,3]=>001100=>[3,1,3] [5,6,7,4,1,3,2]=>001101=>[3,1,2,1] [5,6,7,4,2,1,3]=>001110=>[3,1,1,2] [5,6,7,4,2,3,1]=>001101=>[3,1,2,1] [5,6,7,4,3,1,2]=>001110=>[3,1,1,2] [5,6,7,4,3,2,1]=>001111=>[3,1,1,1,1] [5,7,1,2,3,4,6]=>010000=>[2,5] [5,7,1,2,3,6,4]=>010001=>[2,4,1] [5,7,1,2,4,3,6]=>010010=>[2,3,2] [5,7,1,2,4,6,3]=>010001=>[2,4,1] [5,7,1,2,6,3,4]=>010010=>[2,3,2] [5,7,1,2,6,4,3]=>010011=>[2,3,1,1] [5,7,1,3,2,4,6]=>010100=>[2,2,3] [5,7,1,3,2,6,4]=>010101=>[2,2,2,1] [5,7,1,3,4,2,6]=>010010=>[2,3,2] [5,7,1,3,4,6,2]=>010001=>[2,4,1] [5,7,1,3,6,2,4]=>010010=>[2,3,2] [5,7,1,3,6,4,2]=>010011=>[2,3,1,1] [5,7,1,4,2,3,6]=>010100=>[2,2,3] [5,7,1,4,2,6,3]=>010101=>[2,2,2,1] [5,7,1,4,3,2,6]=>010110=>[2,2,1,2] [5,7,1,4,3,6,2]=>010101=>[2,2,2,1] [5,7,1,4,6,2,3]=>010010=>[2,3,2] [5,7,1,4,6,3,2]=>010011=>[2,3,1,1] [5,7,1,6,2,3,4]=>010100=>[2,2,3] [5,7,1,6,2,4,3]=>010101=>[2,2,2,1] [5,7,1,6,3,2,4]=>010110=>[2,2,1,2] [5,7,1,6,3,4,2]=>010101=>[2,2,2,1] [5,7,1,6,4,2,3]=>010110=>[2,2,1,2] [5,7,1,6,4,3,2]=>010111=>[2,2,1,1,1] [5,7,2,1,3,4,6]=>011000=>[2,1,4] [5,7,2,1,3,6,4]=>011001=>[2,1,3,1] [5,7,2,1,4,3,6]=>011010=>[2,1,2,2] [5,7,2,1,4,6,3]=>011001=>[2,1,3,1] [5,7,2,1,6,3,4]=>011010=>[2,1,2,2] [5,7,2,1,6,4,3]=>011011=>[2,1,2,1,1] [5,7,2,3,1,4,6]=>010100=>[2,2,3] [5,7,2,3,1,6,4]=>010101=>[2,2,2,1] [5,7,2,3,4,1,6]=>010010=>[2,3,2] [5,7,2,3,4,6,1]=>010001=>[2,4,1] [5,7,2,3,6,1,4]=>010010=>[2,3,2] [5,7,2,3,6,4,1]=>010011=>[2,3,1,1] [5,7,2,4,1,3,6]=>010100=>[2,2,3] [5,7,2,4,1,6,3]=>010101=>[2,2,2,1] [5,7,2,4,3,1,6]=>010110=>[2,2,1,2] [5,7,2,4,3,6,1]=>010101=>[2,2,2,1] [5,7,2,4,6,1,3]=>010010=>[2,3,2] [5,7,2,4,6,3,1]=>010011=>[2,3,1,1] [5,7,2,6,1,3,4]=>010100=>[2,2,3] [5,7,2,6,1,4,3]=>010101=>[2,2,2,1] [5,7,2,6,3,1,4]=>010110=>[2,2,1,2] [5,7,2,6,3,4,1]=>010101=>[2,2,2,1] [5,7,2,6,4,1,3]=>010110=>[2,2,1,2] [5,7,2,6,4,3,1]=>010111=>[2,2,1,1,1] [5,7,3,1,2,4,6]=>011000=>[2,1,4] [5,7,3,1,2,6,4]=>011001=>[2,1,3,1] [5,7,3,1,4,2,6]=>011010=>[2,1,2,2] [5,7,3,1,4,6,2]=>011001=>[2,1,3,1] [5,7,3,1,6,2,4]=>011010=>[2,1,2,2] [5,7,3,1,6,4,2]=>011011=>[2,1,2,1,1] [5,7,3,2,1,4,6]=>011100=>[2,1,1,3] [5,7,3,2,1,6,4]=>011101=>[2,1,1,2,1] [5,7,3,2,4,1,6]=>011010=>[2,1,2,2] [5,7,3,2,4,6,1]=>011001=>[2,1,3,1] [5,7,3,2,6,1,4]=>011010=>[2,1,2,2] [5,7,3,2,6,4,1]=>011011=>[2,1,2,1,1] [5,7,3,4,1,2,6]=>010100=>[2,2,3] [5,7,3,4,1,6,2]=>010101=>[2,2,2,1] [5,7,3,4,2,1,6]=>010110=>[2,2,1,2] [5,7,3,4,2,6,1]=>010101=>[2,2,2,1] [5,7,3,4,6,1,2]=>010010=>[2,3,2] [5,7,3,4,6,2,1]=>010011=>[2,3,1,1] [5,7,3,6,1,2,4]=>010100=>[2,2,3] [5,7,3,6,1,4,2]=>010101=>[2,2,2,1] [5,7,3,6,2,1,4]=>010110=>[2,2,1,2] [5,7,3,6,2,4,1]=>010101=>[2,2,2,1] [5,7,3,6,4,1,2]=>010110=>[2,2,1,2] [5,7,3,6,4,2,1]=>010111=>[2,2,1,1,1] [5,7,4,1,2,3,6]=>011000=>[2,1,4] [5,7,4,1,2,6,3]=>011001=>[2,1,3,1] [5,7,4,1,3,2,6]=>011010=>[2,1,2,2] [5,7,4,1,3,6,2]=>011001=>[2,1,3,1] [5,7,4,1,6,2,3]=>011010=>[2,1,2,2] [5,7,4,1,6,3,2]=>011011=>[2,1,2,1,1] [5,7,4,2,1,3,6]=>011100=>[2,1,1,3] [5,7,4,2,1,6,3]=>011101=>[2,1,1,2,1] [5,7,4,2,3,1,6]=>011010=>[2,1,2,2] [5,7,4,2,3,6,1]=>011001=>[2,1,3,1] [5,7,4,2,6,1,3]=>011010=>[2,1,2,2] [5,7,4,2,6,3,1]=>011011=>[2,1,2,1,1] [5,7,4,3,1,2,6]=>011100=>[2,1,1,3] [5,7,4,3,1,6,2]=>011101=>[2,1,1,2,1] [5,7,4,3,2,1,6]=>011110=>[2,1,1,1,2] [5,7,4,3,2,6,1]=>011101=>[2,1,1,2,1] [5,7,4,3,6,1,2]=>011010=>[2,1,2,2] [5,7,4,3,6,2,1]=>011011=>[2,1,2,1,1] [5,7,4,6,1,2,3]=>010100=>[2,2,3] [5,7,4,6,1,3,2]=>010101=>[2,2,2,1] [5,7,4,6,2,1,3]=>010110=>[2,2,1,2] [5,7,4,6,2,3,1]=>010101=>[2,2,2,1] [5,7,4,6,3,1,2]=>010110=>[2,2,1,2] [5,7,4,6,3,2,1]=>010111=>[2,2,1,1,1] [5,7,6,1,2,3,4]=>011000=>[2,1,4] [5,7,6,1,2,4,3]=>011001=>[2,1,3,1] [5,7,6,1,3,2,4]=>011010=>[2,1,2,2] [5,7,6,1,3,4,2]=>011001=>[2,1,3,1] [5,7,6,1,4,2,3]=>011010=>[2,1,2,2] [5,7,6,1,4,3,2]=>011011=>[2,1,2,1,1] [5,7,6,2,1,3,4]=>011100=>[2,1,1,3] [5,7,6,2,1,4,3]=>011101=>[2,1,1,2,1] [5,7,6,2,3,1,4]=>011010=>[2,1,2,2] [5,7,6,2,3,4,1]=>011001=>[2,1,3,1] [5,7,6,2,4,1,3]=>011010=>[2,1,2,2] [5,7,6,2,4,3,1]=>011011=>[2,1,2,1,1] [5,7,6,3,1,2,4]=>011100=>[2,1,1,3] [5,7,6,3,1,4,2]=>011101=>[2,1,1,2,1] [5,7,6,3,2,1,4]=>011110=>[2,1,1,1,2] [5,7,6,3,2,4,1]=>011101=>[2,1,1,2,1] [5,7,6,3,4,1,2]=>011010=>[2,1,2,2] [5,7,6,3,4,2,1]=>011011=>[2,1,2,1,1] [5,7,6,4,1,2,3]=>011100=>[2,1,1,3] [5,7,6,4,1,3,2]=>011101=>[2,1,1,2,1] [5,7,6,4,2,1,3]=>011110=>[2,1,1,1,2] [5,7,6,4,2,3,1]=>011101=>[2,1,1,2,1] [5,7,6,4,3,1,2]=>011110=>[2,1,1,1,2] [5,7,6,4,3,2,1]=>011111=>[2,1,1,1,1,1] [6,1,2,3,4,5,7]=>100000=>[1,6] [6,1,2,3,4,7,5]=>100001=>[1,5,1] [6,1,2,3,5,4,7]=>100010=>[1,4,2] [6,1,2,3,5,7,4]=>100001=>[1,5,1] [6,1,2,3,7,4,5]=>100010=>[1,4,2] [6,1,2,3,7,5,4]=>100011=>[1,4,1,1] [6,1,2,4,3,5,7]=>100100=>[1,3,3] [6,1,2,4,3,7,5]=>100101=>[1,3,2,1] [6,1,2,4,5,3,7]=>100010=>[1,4,2] [6,1,2,4,5,7,3]=>100001=>[1,5,1] [6,1,2,4,7,3,5]=>100010=>[1,4,2] [6,1,2,4,7,5,3]=>100011=>[1,4,1,1] [6,1,2,5,3,4,7]=>100100=>[1,3,3] [6,1,2,5,3,7,4]=>100101=>[1,3,2,1] [6,1,2,5,4,3,7]=>100110=>[1,3,1,2] [6,1,2,5,4,7,3]=>100101=>[1,3,2,1] [6,1,2,5,7,3,4]=>100010=>[1,4,2] [6,1,2,5,7,4,3]=>100011=>[1,4,1,1] [6,1,2,7,3,4,5]=>100100=>[1,3,3] [6,1,2,7,3,5,4]=>100101=>[1,3,2,1] [6,1,2,7,4,3,5]=>100110=>[1,3,1,2] [6,1,2,7,4,5,3]=>100101=>[1,3,2,1] [6,1,2,7,5,3,4]=>100110=>[1,3,1,2] [6,1,2,7,5,4,3]=>100111=>[1,3,1,1,1] [6,1,3,2,4,5,7]=>101000=>[1,2,4] [6,1,3,2,4,7,5]=>101001=>[1,2,3,1] [6,1,3,2,5,4,7]=>101010=>[1,2,2,2] [6,1,3,2,5,7,4]=>101001=>[1,2,3,1] [6,1,3,2,7,4,5]=>101010=>[1,2,2,2] [6,1,3,2,7,5,4]=>101011=>[1,2,2,1,1] [6,1,3,4,2,5,7]=>100100=>[1,3,3] [6,1,3,4,2,7,5]=>100101=>[1,3,2,1] [6,1,3,4,5,2,7]=>100010=>[1,4,2] [6,1,3,4,5,7,2]=>100001=>[1,5,1] [6,1,3,4,7,2,5]=>100010=>[1,4,2] [6,1,3,4,7,5,2]=>100011=>[1,4,1,1] [6,1,3,5,2,4,7]=>100100=>[1,3,3] [6,1,3,5,2,7,4]=>100101=>[1,3,2,1] [6,1,3,5,4,2,7]=>100110=>[1,3,1,2] [6,1,3,5,4,7,2]=>100101=>[1,3,2,1] [6,1,3,5,7,2,4]=>100010=>[1,4,2] [6,1,3,5,7,4,2]=>100011=>[1,4,1,1] [6,1,3,7,2,4,5]=>100100=>[1,3,3] [6,1,3,7,2,5,4]=>100101=>[1,3,2,1] [6,1,3,7,4,2,5]=>100110=>[1,3,1,2] [6,1,3,7,4,5,2]=>100101=>[1,3,2,1] [6,1,3,7,5,2,4]=>100110=>[1,3,1,2] [6,1,3,7,5,4,2]=>100111=>[1,3,1,1,1] [6,1,4,2,3,5,7]=>101000=>[1,2,4] [6,1,4,2,3,7,5]=>101001=>[1,2,3,1] [6,1,4,2,5,3,7]=>101010=>[1,2,2,2] [6,1,4,2,5,7,3]=>101001=>[1,2,3,1] [6,1,4,2,7,3,5]=>101010=>[1,2,2,2] [6,1,4,2,7,5,3]=>101011=>[1,2,2,1,1] [6,1,4,3,2,5,7]=>101100=>[1,2,1,3] [6,1,4,3,2,7,5]=>101101=>[1,2,1,2,1] [6,1,4,3,5,2,7]=>101010=>[1,2,2,2] [6,1,4,3,5,7,2]=>101001=>[1,2,3,1] [6,1,4,3,7,2,5]=>101010=>[1,2,2,2] [6,1,4,3,7,5,2]=>101011=>[1,2,2,1,1] [6,1,4,5,2,3,7]=>100100=>[1,3,3] [6,1,4,5,2,7,3]=>100101=>[1,3,2,1] [6,1,4,5,3,2,7]=>100110=>[1,3,1,2] [6,1,4,5,3,7,2]=>100101=>[1,3,2,1] [6,1,4,5,7,2,3]=>100010=>[1,4,2] [6,1,4,5,7,3,2]=>100011=>[1,4,1,1] [6,1,4,7,2,3,5]=>100100=>[1,3,3] [6,1,4,7,2,5,3]=>100101=>[1,3,2,1] [6,1,4,7,3,2,5]=>100110=>[1,3,1,2] [6,1,4,7,3,5,2]=>100101=>[1,3,2,1] [6,1,4,7,5,2,3]=>100110=>[1,3,1,2] [6,1,4,7,5,3,2]=>100111=>[1,3,1,1,1] [6,1,5,2,3,4,7]=>101000=>[1,2,4] [6,1,5,2,3,7,4]=>101001=>[1,2,3,1] [6,1,5,2,4,3,7]=>101010=>[1,2,2,2] [6,1,5,2,4,7,3]=>101001=>[1,2,3,1] [6,1,5,2,7,3,4]=>101010=>[1,2,2,2] [6,1,5,2,7,4,3]=>101011=>[1,2,2,1,1] [6,1,5,3,2,4,7]=>101100=>[1,2,1,3] [6,1,5,3,2,7,4]=>101101=>[1,2,1,2,1] [6,1,5,3,4,2,7]=>101010=>[1,2,2,2] [6,1,5,3,4,7,2]=>101001=>[1,2,3,1] [6,1,5,3,7,2,4]=>101010=>[1,2,2,2] [6,1,5,3,7,4,2]=>101011=>[1,2,2,1,1] [6,1,5,4,2,3,7]=>101100=>[1,2,1,3] [6,1,5,4,2,7,3]=>101101=>[1,2,1,2,1] [6,1,5,4,3,2,7]=>101110=>[1,2,1,1,2] [6,1,5,4,3,7,2]=>101101=>[1,2,1,2,1] [6,1,5,4,7,2,3]=>101010=>[1,2,2,2] [6,1,5,4,7,3,2]=>101011=>[1,2,2,1,1] [6,1,5,7,2,3,4]=>100100=>[1,3,3] [6,1,5,7,2,4,3]=>100101=>[1,3,2,1] [6,1,5,7,3,2,4]=>100110=>[1,3,1,2] [6,1,5,7,3,4,2]=>100101=>[1,3,2,1] [6,1,5,7,4,2,3]=>100110=>[1,3,1,2] [6,1,5,7,4,3,2]=>100111=>[1,3,1,1,1] [6,1,7,2,3,4,5]=>101000=>[1,2,4] [6,1,7,2,3,5,4]=>101001=>[1,2,3,1] [6,1,7,2,4,3,5]=>101010=>[1,2,2,2] [6,1,7,2,4,5,3]=>101001=>[1,2,3,1] [6,1,7,2,5,3,4]=>101010=>[1,2,2,2] [6,1,7,2,5,4,3]=>101011=>[1,2,2,1,1] [6,1,7,3,2,4,5]=>101100=>[1,2,1,3] [6,1,7,3,2,5,4]=>101101=>[1,2,1,2,1] [6,1,7,3,4,2,5]=>101010=>[1,2,2,2] [6,1,7,3,4,5,2]=>101001=>[1,2,3,1] [6,1,7,3,5,2,4]=>101010=>[1,2,2,2] [6,1,7,3,5,4,2]=>101011=>[1,2,2,1,1] [6,1,7,4,2,3,5]=>101100=>[1,2,1,3] [6,1,7,4,2,5,3]=>101101=>[1,2,1,2,1] [6,1,7,4,3,2,5]=>101110=>[1,2,1,1,2] [6,1,7,4,3,5,2]=>101101=>[1,2,1,2,1] [6,1,7,4,5,2,3]=>101010=>[1,2,2,2] [6,1,7,4,5,3,2]=>101011=>[1,2,2,1,1] [6,1,7,5,2,3,4]=>101100=>[1,2,1,3] [6,1,7,5,2,4,3]=>101101=>[1,2,1,2,1] [6,1,7,5,3,2,4]=>101110=>[1,2,1,1,2] [6,1,7,5,3,4,2]=>101101=>[1,2,1,2,1] [6,1,7,5,4,2,3]=>101110=>[1,2,1,1,2] [6,1,7,5,4,3,2]=>101111=>[1,2,1,1,1,1] [6,2,1,3,4,5,7]=>110000=>[1,1,5] [6,2,1,3,4,7,5]=>110001=>[1,1,4,1] [6,2,1,3,5,4,7]=>110010=>[1,1,3,2] [6,2,1,3,5,7,4]=>110001=>[1,1,4,1] [6,2,1,3,7,4,5]=>110010=>[1,1,3,2] [6,2,1,3,7,5,4]=>110011=>[1,1,3,1,1] [6,2,1,4,3,5,7]=>110100=>[1,1,2,3] [6,2,1,4,3,7,5]=>110101=>[1,1,2,2,1] [6,2,1,4,5,3,7]=>110010=>[1,1,3,2] [6,2,1,4,5,7,3]=>110001=>[1,1,4,1] [6,2,1,4,7,3,5]=>110010=>[1,1,3,2] [6,2,1,4,7,5,3]=>110011=>[1,1,3,1,1] [6,2,1,5,3,4,7]=>110100=>[1,1,2,3] [6,2,1,5,3,7,4]=>110101=>[1,1,2,2,1] [6,2,1,5,4,3,7]=>110110=>[1,1,2,1,2] [6,2,1,5,4,7,3]=>110101=>[1,1,2,2,1] [6,2,1,5,7,3,4]=>110010=>[1,1,3,2] [6,2,1,5,7,4,3]=>110011=>[1,1,3,1,1] [6,2,1,7,3,4,5]=>110100=>[1,1,2,3] [6,2,1,7,3,5,4]=>110101=>[1,1,2,2,1] [6,2,1,7,4,3,5]=>110110=>[1,1,2,1,2] [6,2,1,7,4,5,3]=>110101=>[1,1,2,2,1] [6,2,1,7,5,3,4]=>110110=>[1,1,2,1,2] [6,2,1,7,5,4,3]=>110111=>[1,1,2,1,1,1] [6,2,3,1,4,5,7]=>101000=>[1,2,4] [6,2,3,1,4,7,5]=>101001=>[1,2,3,1] [6,2,3,1,5,4,7]=>101010=>[1,2,2,2] [6,2,3,1,5,7,4]=>101001=>[1,2,3,1] [6,2,3,1,7,4,5]=>101010=>[1,2,2,2] [6,2,3,1,7,5,4]=>101011=>[1,2,2,1,1] [6,2,3,4,1,5,7]=>100100=>[1,3,3] [6,2,3,4,1,7,5]=>100101=>[1,3,2,1] [6,2,3,4,5,1,7]=>100010=>[1,4,2] [6,2,3,4,5,7,1]=>100001=>[1,5,1] [6,2,3,4,7,1,5]=>100010=>[1,4,2] [6,2,3,4,7,5,1]=>100011=>[1,4,1,1] [6,2,3,5,1,4,7]=>100100=>[1,3,3] [6,2,3,5,1,7,4]=>100101=>[1,3,2,1] [6,2,3,5,4,1,7]=>100110=>[1,3,1,2] [6,2,3,5,4,7,1]=>100101=>[1,3,2,1] [6,2,3,5,7,1,4]=>100010=>[1,4,2] [6,2,3,5,7,4,1]=>100011=>[1,4,1,1] [6,2,3,7,1,4,5]=>100100=>[1,3,3] [6,2,3,7,1,5,4]=>100101=>[1,3,2,1] [6,2,3,7,4,1,5]=>100110=>[1,3,1,2] [6,2,3,7,4,5,1]=>100101=>[1,3,2,1] [6,2,3,7,5,1,4]=>100110=>[1,3,1,2] [6,2,3,7,5,4,1]=>100111=>[1,3,1,1,1] [6,2,4,1,3,5,7]=>101000=>[1,2,4] [6,2,4,1,3,7,5]=>101001=>[1,2,3,1] [6,2,4,1,5,3,7]=>101010=>[1,2,2,2] [6,2,4,1,5,7,3]=>101001=>[1,2,3,1] [6,2,4,1,7,3,5]=>101010=>[1,2,2,2] [6,2,4,1,7,5,3]=>101011=>[1,2,2,1,1] [6,2,4,3,1,5,7]=>101100=>[1,2,1,3] [6,2,4,3,1,7,5]=>101101=>[1,2,1,2,1] [6,2,4,3,5,1,7]=>101010=>[1,2,2,2] [6,2,4,3,5,7,1]=>101001=>[1,2,3,1] [6,2,4,3,7,1,5]=>101010=>[1,2,2,2] [6,2,4,3,7,5,1]=>101011=>[1,2,2,1,1] [6,2,4,5,1,3,7]=>100100=>[1,3,3] [6,2,4,5,1,7,3]=>100101=>[1,3,2,1] [6,2,4,5,3,1,7]=>100110=>[1,3,1,2] [6,2,4,5,3,7,1]=>100101=>[1,3,2,1] [6,2,4,5,7,1,3]=>100010=>[1,4,2] [6,2,4,5,7,3,1]=>100011=>[1,4,1,1] [6,2,4,7,1,3,5]=>100100=>[1,3,3] [6,2,4,7,1,5,3]=>100101=>[1,3,2,1] [6,2,4,7,3,1,5]=>100110=>[1,3,1,2] [6,2,4,7,3,5,1]=>100101=>[1,3,2,1] [6,2,4,7,5,1,3]=>100110=>[1,3,1,2] [6,2,4,7,5,3,1]=>100111=>[1,3,1,1,1] [6,2,5,1,3,4,7]=>101000=>[1,2,4] [6,2,5,1,3,7,4]=>101001=>[1,2,3,1] [6,2,5,1,4,3,7]=>101010=>[1,2,2,2] [6,2,5,1,4,7,3]=>101001=>[1,2,3,1] [6,2,5,1,7,3,4]=>101010=>[1,2,2,2] [6,2,5,1,7,4,3]=>101011=>[1,2,2,1,1] [6,2,5,3,1,4,7]=>101100=>[1,2,1,3] [6,2,5,3,1,7,4]=>101101=>[1,2,1,2,1] [6,2,5,3,4,1,7]=>101010=>[1,2,2,2] [6,2,5,3,4,7,1]=>101001=>[1,2,3,1] [6,2,5,3,7,1,4]=>101010=>[1,2,2,2] [6,2,5,3,7,4,1]=>101011=>[1,2,2,1,1] [6,2,5,4,1,3,7]=>101100=>[1,2,1,3] [6,2,5,4,1,7,3]=>101101=>[1,2,1,2,1] [6,2,5,4,3,1,7]=>101110=>[1,2,1,1,2] [6,2,5,4,3,7,1]=>101101=>[1,2,1,2,1] [6,2,5,4,7,1,3]=>101010=>[1,2,2,2] [6,2,5,4,7,3,1]=>101011=>[1,2,2,1,1] [6,2,5,7,1,3,4]=>100100=>[1,3,3] [6,2,5,7,1,4,3]=>100101=>[1,3,2,1] [6,2,5,7,3,1,4]=>100110=>[1,3,1,2] [6,2,5,7,3,4,1]=>100101=>[1,3,2,1] [6,2,5,7,4,1,3]=>100110=>[1,3,1,2] [6,2,5,7,4,3,1]=>100111=>[1,3,1,1,1] [6,2,7,1,3,4,5]=>101000=>[1,2,4] [6,2,7,1,3,5,4]=>101001=>[1,2,3,1] [6,2,7,1,4,3,5]=>101010=>[1,2,2,2] [6,2,7,1,4,5,3]=>101001=>[1,2,3,1] [6,2,7,1,5,3,4]=>101010=>[1,2,2,2] [6,2,7,1,5,4,3]=>101011=>[1,2,2,1,1] [6,2,7,3,1,4,5]=>101100=>[1,2,1,3] [6,2,7,3,1,5,4]=>101101=>[1,2,1,2,1] [6,2,7,3,4,1,5]=>101010=>[1,2,2,2] [6,2,7,3,4,5,1]=>101001=>[1,2,3,1] [6,2,7,3,5,1,4]=>101010=>[1,2,2,2] [6,2,7,3,5,4,1]=>101011=>[1,2,2,1,1] [6,2,7,4,1,3,5]=>101100=>[1,2,1,3] [6,2,7,4,1,5,3]=>101101=>[1,2,1,2,1] [6,2,7,4,3,1,5]=>101110=>[1,2,1,1,2] [6,2,7,4,3,5,1]=>101101=>[1,2,1,2,1] [6,2,7,4,5,1,3]=>101010=>[1,2,2,2] [6,2,7,4,5,3,1]=>101011=>[1,2,2,1,1] [6,2,7,5,1,3,4]=>101100=>[1,2,1,3] [6,2,7,5,1,4,3]=>101101=>[1,2,1,2,1] [6,2,7,5,3,1,4]=>101110=>[1,2,1,1,2] [6,2,7,5,3,4,1]=>101101=>[1,2,1,2,1] [6,2,7,5,4,1,3]=>101110=>[1,2,1,1,2] [6,2,7,5,4,3,1]=>101111=>[1,2,1,1,1,1] [6,3,1,2,4,5,7]=>110000=>[1,1,5] [6,3,1,2,4,7,5]=>110001=>[1,1,4,1] [6,3,1,2,5,4,7]=>110010=>[1,1,3,2] [6,3,1,2,5,7,4]=>110001=>[1,1,4,1] [6,3,1,2,7,4,5]=>110010=>[1,1,3,2] [6,3,1,2,7,5,4]=>110011=>[1,1,3,1,1] [6,3,1,4,2,5,7]=>110100=>[1,1,2,3] [6,3,1,4,2,7,5]=>110101=>[1,1,2,2,1] [6,3,1,4,5,2,7]=>110010=>[1,1,3,2] [6,3,1,4,5,7,2]=>110001=>[1,1,4,1] [6,3,1,4,7,2,5]=>110010=>[1,1,3,2] [6,3,1,4,7,5,2]=>110011=>[1,1,3,1,1] [6,3,1,5,2,4,7]=>110100=>[1,1,2,3] [6,3,1,5,2,7,4]=>110101=>[1,1,2,2,1] [6,3,1,5,4,2,7]=>110110=>[1,1,2,1,2] [6,3,1,5,4,7,2]=>110101=>[1,1,2,2,1] [6,3,1,5,7,2,4]=>110010=>[1,1,3,2] [6,3,1,5,7,4,2]=>110011=>[1,1,3,1,1] [6,3,1,7,2,4,5]=>110100=>[1,1,2,3] [6,3,1,7,2,5,4]=>110101=>[1,1,2,2,1] [6,3,1,7,4,2,5]=>110110=>[1,1,2,1,2] [6,3,1,7,4,5,2]=>110101=>[1,1,2,2,1] [6,3,1,7,5,2,4]=>110110=>[1,1,2,1,2] [6,3,1,7,5,4,2]=>110111=>[1,1,2,1,1,1] [6,3,2,1,4,5,7]=>111000=>[1,1,1,4] [6,3,2,1,4,7,5]=>111001=>[1,1,1,3,1] [6,3,2,1,5,4,7]=>111010=>[1,1,1,2,2] [6,3,2,1,5,7,4]=>111001=>[1,1,1,3,1] [6,3,2,1,7,4,5]=>111010=>[1,1,1,2,2] [6,3,2,1,7,5,4]=>111011=>[1,1,1,2,1,1] [6,3,2,4,1,5,7]=>110100=>[1,1,2,3] [6,3,2,4,1,7,5]=>110101=>[1,1,2,2,1] [6,3,2,4,5,1,7]=>110010=>[1,1,3,2] [6,3,2,4,5,7,1]=>110001=>[1,1,4,1] [6,3,2,4,7,1,5]=>110010=>[1,1,3,2] [6,3,2,4,7,5,1]=>110011=>[1,1,3,1,1] [6,3,2,5,1,4,7]=>110100=>[1,1,2,3] [6,3,2,5,1,7,4]=>110101=>[1,1,2,2,1] [6,3,2,5,4,1,7]=>110110=>[1,1,2,1,2] [6,3,2,5,4,7,1]=>110101=>[1,1,2,2,1] [6,3,2,5,7,1,4]=>110010=>[1,1,3,2] [6,3,2,5,7,4,1]=>110011=>[1,1,3,1,1] [6,3,2,7,1,4,5]=>110100=>[1,1,2,3] [6,3,2,7,1,5,4]=>110101=>[1,1,2,2,1] [6,3,2,7,4,1,5]=>110110=>[1,1,2,1,2] [6,3,2,7,4,5,1]=>110101=>[1,1,2,2,1] [6,3,2,7,5,1,4]=>110110=>[1,1,2,1,2] [6,3,2,7,5,4,1]=>110111=>[1,1,2,1,1,1] [6,3,4,1,2,5,7]=>101000=>[1,2,4] [6,3,4,1,2,7,5]=>101001=>[1,2,3,1] [6,3,4,1,5,2,7]=>101010=>[1,2,2,2] [6,3,4,1,5,7,2]=>101001=>[1,2,3,1] [6,3,4,1,7,2,5]=>101010=>[1,2,2,2] [6,3,4,1,7,5,2]=>101011=>[1,2,2,1,1] [6,3,4,2,1,5,7]=>101100=>[1,2,1,3] [6,3,4,2,1,7,5]=>101101=>[1,2,1,2,1] [6,3,4,2,5,1,7]=>101010=>[1,2,2,2] [6,3,4,2,5,7,1]=>101001=>[1,2,3,1] [6,3,4,2,7,1,5]=>101010=>[1,2,2,2] [6,3,4,2,7,5,1]=>101011=>[1,2,2,1,1] [6,3,4,5,1,2,7]=>100100=>[1,3,3] [6,3,4,5,1,7,2]=>100101=>[1,3,2,1] [6,3,4,5,2,1,7]=>100110=>[1,3,1,2] [6,3,4,5,2,7,1]=>100101=>[1,3,2,1] [6,3,4,5,7,1,2]=>100010=>[1,4,2] [6,3,4,5,7,2,1]=>100011=>[1,4,1,1] [6,3,4,7,1,2,5]=>100100=>[1,3,3] [6,3,4,7,1,5,2]=>100101=>[1,3,2,1] [6,3,4,7,2,1,5]=>100110=>[1,3,1,2] [6,3,4,7,2,5,1]=>100101=>[1,3,2,1] [6,3,4,7,5,1,2]=>100110=>[1,3,1,2] [6,3,4,7,5,2,1]=>100111=>[1,3,1,1,1] [6,3,5,1,2,4,7]=>101000=>[1,2,4] [6,3,5,1,2,7,4]=>101001=>[1,2,3,1] [6,3,5,1,4,2,7]=>101010=>[1,2,2,2] [6,3,5,1,4,7,2]=>101001=>[1,2,3,1] [6,3,5,1,7,2,4]=>101010=>[1,2,2,2] [6,3,5,1,7,4,2]=>101011=>[1,2,2,1,1] [6,3,5,2,1,4,7]=>101100=>[1,2,1,3] [6,3,5,2,1,7,4]=>101101=>[1,2,1,2,1] [6,3,5,2,4,1,7]=>101010=>[1,2,2,2] [6,3,5,2,4,7,1]=>101001=>[1,2,3,1] [6,3,5,2,7,1,4]=>101010=>[1,2,2,2] [6,3,5,2,7,4,1]=>101011=>[1,2,2,1,1] [6,3,5,4,1,2,7]=>101100=>[1,2,1,3] [6,3,5,4,1,7,2]=>101101=>[1,2,1,2,1] [6,3,5,4,2,1,7]=>101110=>[1,2,1,1,2] [6,3,5,4,2,7,1]=>101101=>[1,2,1,2,1] [6,3,5,4,7,1,2]=>101010=>[1,2,2,2] [6,3,5,4,7,2,1]=>101011=>[1,2,2,1,1] [6,3,5,7,1,2,4]=>100100=>[1,3,3] [6,3,5,7,1,4,2]=>100101=>[1,3,2,1] [6,3,5,7,2,1,4]=>100110=>[1,3,1,2] [6,3,5,7,2,4,1]=>100101=>[1,3,2,1] [6,3,5,7,4,1,2]=>100110=>[1,3,1,2] [6,3,5,7,4,2,1]=>100111=>[1,3,1,1,1] [6,3,7,1,2,4,5]=>101000=>[1,2,4] [6,3,7,1,2,5,4]=>101001=>[1,2,3,1] [6,3,7,1,4,2,5]=>101010=>[1,2,2,2] [6,3,7,1,4,5,2]=>101001=>[1,2,3,1] [6,3,7,1,5,2,4]=>101010=>[1,2,2,2] [6,3,7,1,5,4,2]=>101011=>[1,2,2,1,1] [6,3,7,2,1,4,5]=>101100=>[1,2,1,3] [6,3,7,2,1,5,4]=>101101=>[1,2,1,2,1] [6,3,7,2,4,1,5]=>101010=>[1,2,2,2] [6,3,7,2,4,5,1]=>101001=>[1,2,3,1] [6,3,7,2,5,1,4]=>101010=>[1,2,2,2] [6,3,7,2,5,4,1]=>101011=>[1,2,2,1,1] [6,3,7,4,1,2,5]=>101100=>[1,2,1,3] [6,3,7,4,1,5,2]=>101101=>[1,2,1,2,1] [6,3,7,4,2,1,5]=>101110=>[1,2,1,1,2] [6,3,7,4,2,5,1]=>101101=>[1,2,1,2,1] [6,3,7,4,5,1,2]=>101010=>[1,2,2,2] [6,3,7,4,5,2,1]=>101011=>[1,2,2,1,1] [6,3,7,5,1,2,4]=>101100=>[1,2,1,3] [6,3,7,5,1,4,2]=>101101=>[1,2,1,2,1] [6,3,7,5,2,1,4]=>101110=>[1,2,1,1,2] [6,3,7,5,2,4,1]=>101101=>[1,2,1,2,1] [6,3,7,5,4,1,2]=>101110=>[1,2,1,1,2] [6,3,7,5,4,2,1]=>101111=>[1,2,1,1,1,1] [6,4,1,2,3,5,7]=>110000=>[1,1,5] [6,4,1,2,3,7,5]=>110001=>[1,1,4,1] [6,4,1,2,5,3,7]=>110010=>[1,1,3,2] [6,4,1,2,5,7,3]=>110001=>[1,1,4,1] [6,4,1,2,7,3,5]=>110010=>[1,1,3,2] [6,4,1,2,7,5,3]=>110011=>[1,1,3,1,1] [6,4,1,3,2,5,7]=>110100=>[1,1,2,3] [6,4,1,3,2,7,5]=>110101=>[1,1,2,2,1] [6,4,1,3,5,2,7]=>110010=>[1,1,3,2] [6,4,1,3,5,7,2]=>110001=>[1,1,4,1] [6,4,1,3,7,2,5]=>110010=>[1,1,3,2] [6,4,1,3,7,5,2]=>110011=>[1,1,3,1,1] [6,4,1,5,2,3,7]=>110100=>[1,1,2,3] [6,4,1,5,2,7,3]=>110101=>[1,1,2,2,1] [6,4,1,5,3,2,7]=>110110=>[1,1,2,1,2] [6,4,1,5,3,7,2]=>110101=>[1,1,2,2,1] [6,4,1,5,7,2,3]=>110010=>[1,1,3,2] [6,4,1,5,7,3,2]=>110011=>[1,1,3,1,1] [6,4,1,7,2,3,5]=>110100=>[1,1,2,3] [6,4,1,7,2,5,3]=>110101=>[1,1,2,2,1] [6,4,1,7,3,2,5]=>110110=>[1,1,2,1,2] [6,4,1,7,3,5,2]=>110101=>[1,1,2,2,1] [6,4,1,7,5,2,3]=>110110=>[1,1,2,1,2] [6,4,1,7,5,3,2]=>110111=>[1,1,2,1,1,1] [6,4,2,1,3,5,7]=>111000=>[1,1,1,4] [6,4,2,1,3,7,5]=>111001=>[1,1,1,3,1] [6,4,2,1,5,3,7]=>111010=>[1,1,1,2,2] [6,4,2,1,5,7,3]=>111001=>[1,1,1,3,1] [6,4,2,1,7,3,5]=>111010=>[1,1,1,2,2] [6,4,2,1,7,5,3]=>111011=>[1,1,1,2,1,1] [6,4,2,3,1,5,7]=>110100=>[1,1,2,3] [6,4,2,3,1,7,5]=>110101=>[1,1,2,2,1] [6,4,2,3,5,1,7]=>110010=>[1,1,3,2] [6,4,2,3,5,7,1]=>110001=>[1,1,4,1] [6,4,2,3,7,1,5]=>110010=>[1,1,3,2] [6,4,2,3,7,5,1]=>110011=>[1,1,3,1,1] [6,4,2,5,1,3,7]=>110100=>[1,1,2,3] [6,4,2,5,1,7,3]=>110101=>[1,1,2,2,1] [6,4,2,5,3,1,7]=>110110=>[1,1,2,1,2] [6,4,2,5,3,7,1]=>110101=>[1,1,2,2,1] [6,4,2,5,7,1,3]=>110010=>[1,1,3,2] [6,4,2,5,7,3,1]=>110011=>[1,1,3,1,1] [6,4,2,7,1,3,5]=>110100=>[1,1,2,3] [6,4,2,7,1,5,3]=>110101=>[1,1,2,2,1] [6,4,2,7,3,1,5]=>110110=>[1,1,2,1,2] [6,4,2,7,3,5,1]=>110101=>[1,1,2,2,1] [6,4,2,7,5,1,3]=>110110=>[1,1,2,1,2] [6,4,2,7,5,3,1]=>110111=>[1,1,2,1,1,1] [6,4,3,1,2,5,7]=>111000=>[1,1,1,4] [6,4,3,1,2,7,5]=>111001=>[1,1,1,3,1] [6,4,3,1,5,2,7]=>111010=>[1,1,1,2,2] [6,4,3,1,5,7,2]=>111001=>[1,1,1,3,1] [6,4,3,1,7,2,5]=>111010=>[1,1,1,2,2] [6,4,3,1,7,5,2]=>111011=>[1,1,1,2,1,1] [6,4,3,2,1,5,7]=>111100=>[1,1,1,1,3] [6,4,3,2,1,7,5]=>111101=>[1,1,1,1,2,1] [6,4,3,2,5,1,7]=>111010=>[1,1,1,2,2] [6,4,3,2,5,7,1]=>111001=>[1,1,1,3,1] [6,4,3,2,7,1,5]=>111010=>[1,1,1,2,2] [6,4,3,2,7,5,1]=>111011=>[1,1,1,2,1,1] [6,4,3,5,1,2,7]=>110100=>[1,1,2,3] [6,4,3,5,1,7,2]=>110101=>[1,1,2,2,1] [6,4,3,5,2,1,7]=>110110=>[1,1,2,1,2] [6,4,3,5,2,7,1]=>110101=>[1,1,2,2,1] [6,4,3,5,7,1,2]=>110010=>[1,1,3,2] [6,4,3,5,7,2,1]=>110011=>[1,1,3,1,1] [6,4,3,7,1,2,5]=>110100=>[1,1,2,3] [6,4,3,7,1,5,2]=>110101=>[1,1,2,2,1] [6,4,3,7,2,1,5]=>110110=>[1,1,2,1,2] [6,4,3,7,2,5,1]=>110101=>[1,1,2,2,1] [6,4,3,7,5,1,2]=>110110=>[1,1,2,1,2] [6,4,3,7,5,2,1]=>110111=>[1,1,2,1,1,1] [6,4,5,1,2,3,7]=>101000=>[1,2,4] [6,4,5,1,2,7,3]=>101001=>[1,2,3,1] [6,4,5,1,3,2,7]=>101010=>[1,2,2,2] [6,4,5,1,3,7,2]=>101001=>[1,2,3,1] [6,4,5,1,7,2,3]=>101010=>[1,2,2,2] [6,4,5,1,7,3,2]=>101011=>[1,2,2,1,1] [6,4,5,2,1,3,7]=>101100=>[1,2,1,3] [6,4,5,2,1,7,3]=>101101=>[1,2,1,2,1] [6,4,5,2,3,1,7]=>101010=>[1,2,2,2] [6,4,5,2,3,7,1]=>101001=>[1,2,3,1] [6,4,5,2,7,1,3]=>101010=>[1,2,2,2] [6,4,5,2,7,3,1]=>101011=>[1,2,2,1,1] [6,4,5,3,1,2,7]=>101100=>[1,2,1,3] [6,4,5,3,1,7,2]=>101101=>[1,2,1,2,1] [6,4,5,3,2,1,7]=>101110=>[1,2,1,1,2] [6,4,5,3,2,7,1]=>101101=>[1,2,1,2,1] [6,4,5,3,7,1,2]=>101010=>[1,2,2,2] [6,4,5,3,7,2,1]=>101011=>[1,2,2,1,1] [6,4,5,7,1,2,3]=>100100=>[1,3,3] [6,4,5,7,1,3,2]=>100101=>[1,3,2,1] [6,4,5,7,2,1,3]=>100110=>[1,3,1,2] [6,4,5,7,2,3,1]=>100101=>[1,3,2,1] [6,4,5,7,3,1,2]=>100110=>[1,3,1,2] [6,4,5,7,3,2,1]=>100111=>[1,3,1,1,1] [6,4,7,1,2,3,5]=>101000=>[1,2,4] [6,4,7,1,2,5,3]=>101001=>[1,2,3,1] [6,4,7,1,3,2,5]=>101010=>[1,2,2,2] [6,4,7,1,3,5,2]=>101001=>[1,2,3,1] [6,4,7,1,5,2,3]=>101010=>[1,2,2,2] [6,4,7,1,5,3,2]=>101011=>[1,2,2,1,1] [6,4,7,2,1,3,5]=>101100=>[1,2,1,3] [6,4,7,2,1,5,3]=>101101=>[1,2,1,2,1] [6,4,7,2,3,1,5]=>101010=>[1,2,2,2] [6,4,7,2,3,5,1]=>101001=>[1,2,3,1] [6,4,7,2,5,1,3]=>101010=>[1,2,2,2] [6,4,7,2,5,3,1]=>101011=>[1,2,2,1,1] [6,4,7,3,1,2,5]=>101100=>[1,2,1,3] [6,4,7,3,1,5,2]=>101101=>[1,2,1,2,1] [6,4,7,3,2,1,5]=>101110=>[1,2,1,1,2] [6,4,7,3,2,5,1]=>101101=>[1,2,1,2,1] [6,4,7,3,5,1,2]=>101010=>[1,2,2,2] [6,4,7,3,5,2,1]=>101011=>[1,2,2,1,1] [6,4,7,5,1,2,3]=>101100=>[1,2,1,3] [6,4,7,5,1,3,2]=>101101=>[1,2,1,2,1] [6,4,7,5,2,1,3]=>101110=>[1,2,1,1,2] [6,4,7,5,2,3,1]=>101101=>[1,2,1,2,1] [6,4,7,5,3,1,2]=>101110=>[1,2,1,1,2] [6,4,7,5,3,2,1]=>101111=>[1,2,1,1,1,1] [6,5,1,2,3,4,7]=>110000=>[1,1,5] [6,5,1,2,3,7,4]=>110001=>[1,1,4,1] [6,5,1,2,4,3,7]=>110010=>[1,1,3,2] [6,5,1,2,4,7,3]=>110001=>[1,1,4,1] [6,5,1,2,7,3,4]=>110010=>[1,1,3,2] [6,5,1,2,7,4,3]=>110011=>[1,1,3,1,1] [6,5,1,3,2,4,7]=>110100=>[1,1,2,3] [6,5,1,3,2,7,4]=>110101=>[1,1,2,2,1] [6,5,1,3,4,2,7]=>110010=>[1,1,3,2] [6,5,1,3,4,7,2]=>110001=>[1,1,4,1] [6,5,1,3,7,2,4]=>110010=>[1,1,3,2] [6,5,1,3,7,4,2]=>110011=>[1,1,3,1,1] [6,5,1,4,2,3,7]=>110100=>[1,1,2,3] [6,5,1,4,2,7,3]=>110101=>[1,1,2,2,1] [6,5,1,4,3,2,7]=>110110=>[1,1,2,1,2] [6,5,1,4,3,7,2]=>110101=>[1,1,2,2,1] [6,5,1,4,7,2,3]=>110010=>[1,1,3,2] [6,5,1,4,7,3,2]=>110011=>[1,1,3,1,1] [6,5,1,7,2,3,4]=>110100=>[1,1,2,3] [6,5,1,7,2,4,3]=>110101=>[1,1,2,2,1] [6,5,1,7,3,2,4]=>110110=>[1,1,2,1,2] [6,5,1,7,3,4,2]=>110101=>[1,1,2,2,1] [6,5,1,7,4,2,3]=>110110=>[1,1,2,1,2] [6,5,1,7,4,3,2]=>110111=>[1,1,2,1,1,1] [6,5,2,1,3,4,7]=>111000=>[1,1,1,4] [6,5,2,1,3,7,4]=>111001=>[1,1,1,3,1] [6,5,2,1,4,3,7]=>111010=>[1,1,1,2,2] [6,5,2,1,4,7,3]=>111001=>[1,1,1,3,1] [6,5,2,1,7,3,4]=>111010=>[1,1,1,2,2] [6,5,2,1,7,4,3]=>111011=>[1,1,1,2,1,1] [6,5,2,3,1,4,7]=>110100=>[1,1,2,3] [6,5,2,3,1,7,4]=>110101=>[1,1,2,2,1] [6,5,2,3,4,1,7]=>110010=>[1,1,3,2] [6,5,2,3,4,7,1]=>110001=>[1,1,4,1] [6,5,2,3,7,1,4]=>110010=>[1,1,3,2] [6,5,2,3,7,4,1]=>110011=>[1,1,3,1,1] [6,5,2,4,1,3,7]=>110100=>[1,1,2,3] [6,5,2,4,1,7,3]=>110101=>[1,1,2,2,1] [6,5,2,4,3,1,7]=>110110=>[1,1,2,1,2] [6,5,2,4,3,7,1]=>110101=>[1,1,2,2,1] [6,5,2,4,7,1,3]=>110010=>[1,1,3,2] [6,5,2,4,7,3,1]=>110011=>[1,1,3,1,1] [6,5,2,7,1,3,4]=>110100=>[1,1,2,3] [6,5,2,7,1,4,3]=>110101=>[1,1,2,2,1] [6,5,2,7,3,1,4]=>110110=>[1,1,2,1,2] [6,5,2,7,3,4,1]=>110101=>[1,1,2,2,1] [6,5,2,7,4,1,3]=>110110=>[1,1,2,1,2] [6,5,2,7,4,3,1]=>110111=>[1,1,2,1,1,1] [6,5,3,1,2,4,7]=>111000=>[1,1,1,4] [6,5,3,1,2,7,4]=>111001=>[1,1,1,3,1] [6,5,3,1,4,2,7]=>111010=>[1,1,1,2,2] [6,5,3,1,4,7,2]=>111001=>[1,1,1,3,1] [6,5,3,1,7,2,4]=>111010=>[1,1,1,2,2] [6,5,3,1,7,4,2]=>111011=>[1,1,1,2,1,1] [6,5,3,2,1,4,7]=>111100=>[1,1,1,1,3] [6,5,3,2,1,7,4]=>111101=>[1,1,1,1,2,1] [6,5,3,2,4,1,7]=>111010=>[1,1,1,2,2] [6,5,3,2,4,7,1]=>111001=>[1,1,1,3,1] [6,5,3,2,7,1,4]=>111010=>[1,1,1,2,2] [6,5,3,2,7,4,1]=>111011=>[1,1,1,2,1,1] [6,5,3,4,1,2,7]=>110100=>[1,1,2,3] [6,5,3,4,1,7,2]=>110101=>[1,1,2,2,1] [6,5,3,4,2,1,7]=>110110=>[1,1,2,1,2] [6,5,3,4,2,7,1]=>110101=>[1,1,2,2,1] [6,5,3,4,7,1,2]=>110010=>[1,1,3,2] [6,5,3,4,7,2,1]=>110011=>[1,1,3,1,1] [6,5,3,7,1,2,4]=>110100=>[1,1,2,3] [6,5,3,7,1,4,2]=>110101=>[1,1,2,2,1] [6,5,3,7,2,1,4]=>110110=>[1,1,2,1,2] [6,5,3,7,2,4,1]=>110101=>[1,1,2,2,1] [6,5,3,7,4,1,2]=>110110=>[1,1,2,1,2] [6,5,3,7,4,2,1]=>110111=>[1,1,2,1,1,1] [6,5,4,1,2,3,7]=>111000=>[1,1,1,4] [6,5,4,1,2,7,3]=>111001=>[1,1,1,3,1] [6,5,4,1,3,2,7]=>111010=>[1,1,1,2,2] [6,5,4,1,3,7,2]=>111001=>[1,1,1,3,1] [6,5,4,1,7,2,3]=>111010=>[1,1,1,2,2] [6,5,4,1,7,3,2]=>111011=>[1,1,1,2,1,1] [6,5,4,2,1,3,7]=>111100=>[1,1,1,1,3] [6,5,4,2,1,7,3]=>111101=>[1,1,1,1,2,1] [6,5,4,2,3,1,7]=>111010=>[1,1,1,2,2] [6,5,4,2,3,7,1]=>111001=>[1,1,1,3,1] [6,5,4,2,7,1,3]=>111010=>[1,1,1,2,2] [6,5,4,2,7,3,1]=>111011=>[1,1,1,2,1,1] [6,5,4,3,1,2,7]=>111100=>[1,1,1,1,3] [6,5,4,3,1,7,2]=>111101=>[1,1,1,1,2,1] [6,5,4,3,2,1,7]=>111110=>[1,1,1,1,1,2] [6,5,4,3,2,7,1]=>111101=>[1,1,1,1,2,1] [6,5,4,3,7,1,2]=>111010=>[1,1,1,2,2] [6,5,4,3,7,2,1]=>111011=>[1,1,1,2,1,1] [6,5,4,7,1,2,3]=>110100=>[1,1,2,3] [6,5,4,7,1,3,2]=>110101=>[1,1,2,2,1] [6,5,4,7,2,1,3]=>110110=>[1,1,2,1,2] [6,5,4,7,2,3,1]=>110101=>[1,1,2,2,1] [6,5,4,7,3,1,2]=>110110=>[1,1,2,1,2] [6,5,4,7,3,2,1]=>110111=>[1,1,2,1,1,1] [6,5,7,1,2,3,4]=>101000=>[1,2,4] [6,5,7,1,2,4,3]=>101001=>[1,2,3,1] [6,5,7,1,3,2,4]=>101010=>[1,2,2,2] [6,5,7,1,3,4,2]=>101001=>[1,2,3,1] [6,5,7,1,4,2,3]=>101010=>[1,2,2,2] [6,5,7,1,4,3,2]=>101011=>[1,2,2,1,1] [6,5,7,2,1,3,4]=>101100=>[1,2,1,3] [6,5,7,2,1,4,3]=>101101=>[1,2,1,2,1] [6,5,7,2,3,1,4]=>101010=>[1,2,2,2] [6,5,7,2,3,4,1]=>101001=>[1,2,3,1] [6,5,7,2,4,1,3]=>101010=>[1,2,2,2] [6,5,7,2,4,3,1]=>101011=>[1,2,2,1,1] [6,5,7,3,1,2,4]=>101100=>[1,2,1,3] [6,5,7,3,1,4,2]=>101101=>[1,2,1,2,1] [6,5,7,3,2,1,4]=>101110=>[1,2,1,1,2] [6,5,7,3,2,4,1]=>101101=>[1,2,1,2,1] [6,5,7,3,4,1,2]=>101010=>[1,2,2,2] [6,5,7,3,4,2,1]=>101011=>[1,2,2,1,1] [6,5,7,4,1,2,3]=>101100=>[1,2,1,3] [6,5,7,4,1,3,2]=>101101=>[1,2,1,2,1] [6,5,7,4,2,1,3]=>101110=>[1,2,1,1,2] [6,5,7,4,2,3,1]=>101101=>[1,2,1,2,1] [6,5,7,4,3,1,2]=>101110=>[1,2,1,1,2] [6,5,7,4,3,2,1]=>101111=>[1,2,1,1,1,1] [6,7,1,2,3,4,5]=>010000=>[2,5] [6,7,1,2,3,5,4]=>010001=>[2,4,1] [6,7,1,2,4,3,5]=>010010=>[2,3,2] [6,7,1,2,4,5,3]=>010001=>[2,4,1] [6,7,1,2,5,3,4]=>010010=>[2,3,2] [6,7,1,2,5,4,3]=>010011=>[2,3,1,1] [6,7,1,3,2,4,5]=>010100=>[2,2,3] [6,7,1,3,2,5,4]=>010101=>[2,2,2,1] [6,7,1,3,4,2,5]=>010010=>[2,3,2] [6,7,1,3,4,5,2]=>010001=>[2,4,1] [6,7,1,3,5,2,4]=>010010=>[2,3,2] [6,7,1,3,5,4,2]=>010011=>[2,3,1,1] [6,7,1,4,2,3,5]=>010100=>[2,2,3] [6,7,1,4,2,5,3]=>010101=>[2,2,2,1] [6,7,1,4,3,2,5]=>010110=>[2,2,1,2] [6,7,1,4,3,5,2]=>010101=>[2,2,2,1] [6,7,1,4,5,2,3]=>010010=>[2,3,2] [6,7,1,4,5,3,2]=>010011=>[2,3,1,1] [6,7,1,5,2,3,4]=>010100=>[2,2,3] [6,7,1,5,2,4,3]=>010101=>[2,2,2,1] [6,7,1,5,3,2,4]=>010110=>[2,2,1,2] [6,7,1,5,3,4,2]=>010101=>[2,2,2,1] [6,7,1,5,4,2,3]=>010110=>[2,2,1,2] [6,7,1,5,4,3,2]=>010111=>[2,2,1,1,1] [6,7,2,1,3,4,5]=>011000=>[2,1,4] [6,7,2,1,3,5,4]=>011001=>[2,1,3,1] [6,7,2,1,4,3,5]=>011010=>[2,1,2,2] [6,7,2,1,4,5,3]=>011001=>[2,1,3,1] [6,7,2,1,5,3,4]=>011010=>[2,1,2,2] [6,7,2,1,5,4,3]=>011011=>[2,1,2,1,1] [6,7,2,3,1,4,5]=>010100=>[2,2,3] [6,7,2,3,1,5,4]=>010101=>[2,2,2,1] [6,7,2,3,4,1,5]=>010010=>[2,3,2] [6,7,2,3,4,5,1]=>010001=>[2,4,1] [6,7,2,3,5,1,4]=>010010=>[2,3,2] [6,7,2,3,5,4,1]=>010011=>[2,3,1,1] [6,7,2,4,1,3,5]=>010100=>[2,2,3] [6,7,2,4,1,5,3]=>010101=>[2,2,2,1] [6,7,2,4,3,1,5]=>010110=>[2,2,1,2] [6,7,2,4,3,5,1]=>010101=>[2,2,2,1] [6,7,2,4,5,1,3]=>010010=>[2,3,2] [6,7,2,4,5,3,1]=>010011=>[2,3,1,1] [6,7,2,5,1,3,4]=>010100=>[2,2,3] [6,7,2,5,1,4,3]=>010101=>[2,2,2,1] [6,7,2,5,3,1,4]=>010110=>[2,2,1,2] [6,7,2,5,3,4,1]=>010101=>[2,2,2,1] [6,7,2,5,4,1,3]=>010110=>[2,2,1,2] [6,7,2,5,4,3,1]=>010111=>[2,2,1,1,1] [6,7,3,1,2,4,5]=>011000=>[2,1,4] [6,7,3,1,2,5,4]=>011001=>[2,1,3,1] [6,7,3,1,4,2,5]=>011010=>[2,1,2,2] [6,7,3,1,4,5,2]=>011001=>[2,1,3,1] [6,7,3,1,5,2,4]=>011010=>[2,1,2,2] [6,7,3,1,5,4,2]=>011011=>[2,1,2,1,1] [6,7,3,2,1,4,5]=>011100=>[2,1,1,3] [6,7,3,2,1,5,4]=>011101=>[2,1,1,2,1] [6,7,3,2,4,1,5]=>011010=>[2,1,2,2] [6,7,3,2,4,5,1]=>011001=>[2,1,3,1] [6,7,3,2,5,1,4]=>011010=>[2,1,2,2] [6,7,3,2,5,4,1]=>011011=>[2,1,2,1,1] [6,7,3,4,1,2,5]=>010100=>[2,2,3] [6,7,3,4,1,5,2]=>010101=>[2,2,2,1] [6,7,3,4,2,1,5]=>010110=>[2,2,1,2] [6,7,3,4,2,5,1]=>010101=>[2,2,2,1] [6,7,3,4,5,1,2]=>010010=>[2,3,2] [6,7,3,4,5,2,1]=>010011=>[2,3,1,1] [6,7,3,5,1,2,4]=>010100=>[2,2,3] [6,7,3,5,1,4,2]=>010101=>[2,2,2,1] [6,7,3,5,2,1,4]=>010110=>[2,2,1,2] [6,7,3,5,2,4,1]=>010101=>[2,2,2,1] [6,7,3,5,4,1,2]=>010110=>[2,2,1,2] [6,7,3,5,4,2,1]=>010111=>[2,2,1,1,1] [6,7,4,1,2,3,5]=>011000=>[2,1,4] [6,7,4,1,2,5,3]=>011001=>[2,1,3,1] [6,7,4,1,3,2,5]=>011010=>[2,1,2,2] [6,7,4,1,3,5,2]=>011001=>[2,1,3,1] [6,7,4,1,5,2,3]=>011010=>[2,1,2,2] [6,7,4,1,5,3,2]=>011011=>[2,1,2,1,1] [6,7,4,2,1,3,5]=>011100=>[2,1,1,3] [6,7,4,2,1,5,3]=>011101=>[2,1,1,2,1] [6,7,4,2,3,1,5]=>011010=>[2,1,2,2] [6,7,4,2,3,5,1]=>011001=>[2,1,3,1] [6,7,4,2,5,1,3]=>011010=>[2,1,2,2] [6,7,4,2,5,3,1]=>011011=>[2,1,2,1,1] [6,7,4,3,1,2,5]=>011100=>[2,1,1,3] [6,7,4,3,1,5,2]=>011101=>[2,1,1,2,1] [6,7,4,3,2,1,5]=>011110=>[2,1,1,1,2] [6,7,4,3,2,5,1]=>011101=>[2,1,1,2,1] [6,7,4,3,5,1,2]=>011010=>[2,1,2,2] [6,7,4,3,5,2,1]=>011011=>[2,1,2,1,1] [6,7,4,5,1,2,3]=>010100=>[2,2,3] [6,7,4,5,1,3,2]=>010101=>[2,2,2,1] [6,7,4,5,2,1,3]=>010110=>[2,2,1,2] [6,7,4,5,2,3,1]=>010101=>[2,2,2,1] [6,7,4,5,3,1,2]=>010110=>[2,2,1,2] [6,7,4,5,3,2,1]=>010111=>[2,2,1,1,1] [6,7,5,1,2,3,4]=>011000=>[2,1,4] [6,7,5,1,2,4,3]=>011001=>[2,1,3,1] [6,7,5,1,3,2,4]=>011010=>[2,1,2,2] [6,7,5,1,3,4,2]=>011001=>[2,1,3,1] [6,7,5,1,4,2,3]=>011010=>[2,1,2,2] [6,7,5,1,4,3,2]=>011011=>[2,1,2,1,1] [6,7,5,2,1,3,4]=>011100=>[2,1,1,3] [6,7,5,2,1,4,3]=>011101=>[2,1,1,2,1] [6,7,5,2,3,1,4]=>011010=>[2,1,2,2] [6,7,5,2,3,4,1]=>011001=>[2,1,3,1] [6,7,5,2,4,1,3]=>011010=>[2,1,2,2] [6,7,5,2,4,3,1]=>011011=>[2,1,2,1,1] [6,7,5,3,1,2,4]=>011100=>[2,1,1,3] [6,7,5,3,1,4,2]=>011101=>[2,1,1,2,1] [6,7,5,3,2,1,4]=>011110=>[2,1,1,1,2] [6,7,5,3,2,4,1]=>011101=>[2,1,1,2,1] [6,7,5,3,4,1,2]=>011010=>[2,1,2,2] [6,7,5,3,4,2,1]=>011011=>[2,1,2,1,1] [6,7,5,4,1,2,3]=>011100=>[2,1,1,3] [6,7,5,4,1,3,2]=>011101=>[2,1,1,2,1] [6,7,5,4,2,1,3]=>011110=>[2,1,1,1,2] [6,7,5,4,2,3,1]=>011101=>[2,1,1,2,1] [6,7,5,4,3,1,2]=>011110=>[2,1,1,1,2] [6,7,5,4,3,2,1]=>011111=>[2,1,1,1,1,1] [7,1,2,3,4,5,6]=>100000=>[1,6] [7,1,2,3,4,6,5]=>100001=>[1,5,1] [7,1,2,3,5,4,6]=>100010=>[1,4,2] [7,1,2,3,5,6,4]=>100001=>[1,5,1] [7,1,2,3,6,4,5]=>100010=>[1,4,2] [7,1,2,3,6,5,4]=>100011=>[1,4,1,1] [7,1,2,4,3,5,6]=>100100=>[1,3,3] [7,1,2,4,3,6,5]=>100101=>[1,3,2,1] [7,1,2,4,5,3,6]=>100010=>[1,4,2] [7,1,2,4,5,6,3]=>100001=>[1,5,1] [7,1,2,4,6,3,5]=>100010=>[1,4,2] [7,1,2,4,6,5,3]=>100011=>[1,4,1,1] [7,1,2,5,3,4,6]=>100100=>[1,3,3] [7,1,2,5,3,6,4]=>100101=>[1,3,2,1] [7,1,2,5,4,3,6]=>100110=>[1,3,1,2] [7,1,2,5,4,6,3]=>100101=>[1,3,2,1] [7,1,2,5,6,3,4]=>100010=>[1,4,2] [7,1,2,5,6,4,3]=>100011=>[1,4,1,1] [7,1,2,6,3,4,5]=>100100=>[1,3,3] [7,1,2,6,3,5,4]=>100101=>[1,3,2,1] [7,1,2,6,4,3,5]=>100110=>[1,3,1,2] [7,1,2,6,4,5,3]=>100101=>[1,3,2,1] [7,1,2,6,5,3,4]=>100110=>[1,3,1,2] [7,1,2,6,5,4,3]=>100111=>[1,3,1,1,1] [7,1,3,2,4,5,6]=>101000=>[1,2,4] [7,1,3,2,4,6,5]=>101001=>[1,2,3,1] [7,1,3,2,5,4,6]=>101010=>[1,2,2,2] [7,1,3,2,5,6,4]=>101001=>[1,2,3,1] [7,1,3,2,6,4,5]=>101010=>[1,2,2,2] [7,1,3,2,6,5,4]=>101011=>[1,2,2,1,1] [7,1,3,4,2,5,6]=>100100=>[1,3,3] [7,1,3,4,2,6,5]=>100101=>[1,3,2,1] [7,1,3,4,5,2,6]=>100010=>[1,4,2] [7,1,3,4,5,6,2]=>100001=>[1,5,1] [7,1,3,4,6,2,5]=>100010=>[1,4,2] [7,1,3,4,6,5,2]=>100011=>[1,4,1,1] [7,1,3,5,2,4,6]=>100100=>[1,3,3] [7,1,3,5,2,6,4]=>100101=>[1,3,2,1] [7,1,3,5,4,2,6]=>100110=>[1,3,1,2] [7,1,3,5,4,6,2]=>100101=>[1,3,2,1] [7,1,3,5,6,2,4]=>100010=>[1,4,2] [7,1,3,5,6,4,2]=>100011=>[1,4,1,1] [7,1,3,6,2,4,5]=>100100=>[1,3,3] [7,1,3,6,2,5,4]=>100101=>[1,3,2,1] [7,1,3,6,4,2,5]=>100110=>[1,3,1,2] [7,1,3,6,4,5,2]=>100101=>[1,3,2,1] [7,1,3,6,5,2,4]=>100110=>[1,3,1,2] [7,1,3,6,5,4,2]=>100111=>[1,3,1,1,1] [7,1,4,2,3,5,6]=>101000=>[1,2,4] [7,1,4,2,3,6,5]=>101001=>[1,2,3,1] [7,1,4,2,5,3,6]=>101010=>[1,2,2,2] [7,1,4,2,5,6,3]=>101001=>[1,2,3,1] [7,1,4,2,6,3,5]=>101010=>[1,2,2,2] [7,1,4,2,6,5,3]=>101011=>[1,2,2,1,1] [7,1,4,3,2,5,6]=>101100=>[1,2,1,3] [7,1,4,3,2,6,5]=>101101=>[1,2,1,2,1] [7,1,4,3,5,2,6]=>101010=>[1,2,2,2] [7,1,4,3,5,6,2]=>101001=>[1,2,3,1] [7,1,4,3,6,2,5]=>101010=>[1,2,2,2] [7,1,4,3,6,5,2]=>101011=>[1,2,2,1,1] [7,1,4,5,2,3,6]=>100100=>[1,3,3] [7,1,4,5,2,6,3]=>100101=>[1,3,2,1] [7,1,4,5,3,2,6]=>100110=>[1,3,1,2] [7,1,4,5,3,6,2]=>100101=>[1,3,2,1] [7,1,4,5,6,2,3]=>100010=>[1,4,2] [7,1,4,5,6,3,2]=>100011=>[1,4,1,1] [7,1,4,6,2,3,5]=>100100=>[1,3,3] [7,1,4,6,2,5,3]=>100101=>[1,3,2,1] [7,1,4,6,3,2,5]=>100110=>[1,3,1,2] [7,1,4,6,3,5,2]=>100101=>[1,3,2,1] [7,1,4,6,5,2,3]=>100110=>[1,3,1,2] [7,1,4,6,5,3,2]=>100111=>[1,3,1,1,1] [7,1,5,2,3,4,6]=>101000=>[1,2,4] [7,1,5,2,3,6,4]=>101001=>[1,2,3,1] [7,1,5,2,4,3,6]=>101010=>[1,2,2,2] [7,1,5,2,4,6,3]=>101001=>[1,2,3,1] [7,1,5,2,6,3,4]=>101010=>[1,2,2,2] [7,1,5,2,6,4,3]=>101011=>[1,2,2,1,1] [7,1,5,3,2,4,6]=>101100=>[1,2,1,3] [7,1,5,3,2,6,4]=>101101=>[1,2,1,2,1] [7,1,5,3,4,2,6]=>101010=>[1,2,2,2] [7,1,5,3,4,6,2]=>101001=>[1,2,3,1] [7,1,5,3,6,2,4]=>101010=>[1,2,2,2] [7,1,5,3,6,4,2]=>101011=>[1,2,2,1,1] [7,1,5,4,2,3,6]=>101100=>[1,2,1,3] [7,1,5,4,2,6,3]=>101101=>[1,2,1,2,1] [7,1,5,4,3,2,6]=>101110=>[1,2,1,1,2] [7,1,5,4,3,6,2]=>101101=>[1,2,1,2,1] [7,1,5,4,6,2,3]=>101010=>[1,2,2,2] [7,1,5,4,6,3,2]=>101011=>[1,2,2,1,1] [7,1,5,6,2,3,4]=>100100=>[1,3,3] [7,1,5,6,2,4,3]=>100101=>[1,3,2,1] [7,1,5,6,3,2,4]=>100110=>[1,3,1,2] [7,1,5,6,3,4,2]=>100101=>[1,3,2,1] [7,1,5,6,4,2,3]=>100110=>[1,3,1,2] [7,1,5,6,4,3,2]=>100111=>[1,3,1,1,1] [7,1,6,2,3,4,5]=>101000=>[1,2,4] [7,1,6,2,3,5,4]=>101001=>[1,2,3,1] [7,1,6,2,4,3,5]=>101010=>[1,2,2,2] [7,1,6,2,4,5,3]=>101001=>[1,2,3,1] [7,1,6,2,5,3,4]=>101010=>[1,2,2,2] [7,1,6,2,5,4,3]=>101011=>[1,2,2,1,1] [7,1,6,3,2,4,5]=>101100=>[1,2,1,3] [7,1,6,3,2,5,4]=>101101=>[1,2,1,2,1] [7,1,6,3,4,2,5]=>101010=>[1,2,2,2] [7,1,6,3,4,5,2]=>101001=>[1,2,3,1] [7,1,6,3,5,2,4]=>101010=>[1,2,2,2] [7,1,6,3,5,4,2]=>101011=>[1,2,2,1,1] [7,1,6,4,2,3,5]=>101100=>[1,2,1,3] [7,1,6,4,2,5,3]=>101101=>[1,2,1,2,1] [7,1,6,4,3,2,5]=>101110=>[1,2,1,1,2] [7,1,6,4,3,5,2]=>101101=>[1,2,1,2,1] [7,1,6,4,5,2,3]=>101010=>[1,2,2,2] [7,1,6,4,5,3,2]=>101011=>[1,2,2,1,1] [7,1,6,5,2,3,4]=>101100=>[1,2,1,3] [7,1,6,5,2,4,3]=>101101=>[1,2,1,2,1] [7,1,6,5,3,2,4]=>101110=>[1,2,1,1,2] [7,1,6,5,3,4,2]=>101101=>[1,2,1,2,1] [7,1,6,5,4,2,3]=>101110=>[1,2,1,1,2] [7,1,6,5,4,3,2]=>101111=>[1,2,1,1,1,1] [7,2,1,3,4,5,6]=>110000=>[1,1,5] [7,2,1,3,4,6,5]=>110001=>[1,1,4,1] [7,2,1,3,5,4,6]=>110010=>[1,1,3,2] [7,2,1,3,5,6,4]=>110001=>[1,1,4,1] [7,2,1,3,6,4,5]=>110010=>[1,1,3,2] [7,2,1,3,6,5,4]=>110011=>[1,1,3,1,1] [7,2,1,4,3,5,6]=>110100=>[1,1,2,3] [7,2,1,4,3,6,5]=>110101=>[1,1,2,2,1] [7,2,1,4,5,3,6]=>110010=>[1,1,3,2] [7,2,1,4,5,6,3]=>110001=>[1,1,4,1] [7,2,1,4,6,3,5]=>110010=>[1,1,3,2] [7,2,1,4,6,5,3]=>110011=>[1,1,3,1,1] [7,2,1,5,3,4,6]=>110100=>[1,1,2,3] [7,2,1,5,3,6,4]=>110101=>[1,1,2,2,1] [7,2,1,5,4,3,6]=>110110=>[1,1,2,1,2] [7,2,1,5,4,6,3]=>110101=>[1,1,2,2,1] [7,2,1,5,6,3,4]=>110010=>[1,1,3,2] [7,2,1,5,6,4,3]=>110011=>[1,1,3,1,1] [7,2,1,6,3,4,5]=>110100=>[1,1,2,3] [7,2,1,6,3,5,4]=>110101=>[1,1,2,2,1] [7,2,1,6,4,3,5]=>110110=>[1,1,2,1,2] [7,2,1,6,4,5,3]=>110101=>[1,1,2,2,1] [7,2,1,6,5,3,4]=>110110=>[1,1,2,1,2] [7,2,1,6,5,4,3]=>110111=>[1,1,2,1,1,1] [7,2,3,1,4,5,6]=>101000=>[1,2,4] [7,2,3,1,4,6,5]=>101001=>[1,2,3,1] [7,2,3,1,5,4,6]=>101010=>[1,2,2,2] [7,2,3,1,5,6,4]=>101001=>[1,2,3,1] [7,2,3,1,6,4,5]=>101010=>[1,2,2,2] [7,2,3,1,6,5,4]=>101011=>[1,2,2,1,1] [7,2,3,4,1,5,6]=>100100=>[1,3,3] [7,2,3,4,1,6,5]=>100101=>[1,3,2,1] [7,2,3,4,5,1,6]=>100010=>[1,4,2] [7,2,3,4,5,6,1]=>100001=>[1,5,1] [7,2,3,4,6,1,5]=>100010=>[1,4,2] [7,2,3,4,6,5,1]=>100011=>[1,4,1,1] [7,2,3,5,1,4,6]=>100100=>[1,3,3] [7,2,3,5,1,6,4]=>100101=>[1,3,2,1] [7,2,3,5,4,1,6]=>100110=>[1,3,1,2] [7,2,3,5,4,6,1]=>100101=>[1,3,2,1] [7,2,3,5,6,1,4]=>100010=>[1,4,2] [7,2,3,5,6,4,1]=>100011=>[1,4,1,1] [7,2,3,6,1,4,5]=>100100=>[1,3,3] [7,2,3,6,1,5,4]=>100101=>[1,3,2,1] [7,2,3,6,4,1,5]=>100110=>[1,3,1,2] [7,2,3,6,4,5,1]=>100101=>[1,3,2,1] [7,2,3,6,5,1,4]=>100110=>[1,3,1,2] [7,2,3,6,5,4,1]=>100111=>[1,3,1,1,1] [7,2,4,1,3,5,6]=>101000=>[1,2,4] [7,2,4,1,3,6,5]=>101001=>[1,2,3,1] [7,2,4,1,5,3,6]=>101010=>[1,2,2,2] [7,2,4,1,5,6,3]=>101001=>[1,2,3,1] [7,2,4,1,6,3,5]=>101010=>[1,2,2,2] [7,2,4,1,6,5,3]=>101011=>[1,2,2,1,1] [7,2,4,3,1,5,6]=>101100=>[1,2,1,3] [7,2,4,3,1,6,5]=>101101=>[1,2,1,2,1] [7,2,4,3,5,1,6]=>101010=>[1,2,2,2] [7,2,4,3,5,6,1]=>101001=>[1,2,3,1] [7,2,4,3,6,1,5]=>101010=>[1,2,2,2] [7,2,4,3,6,5,1]=>101011=>[1,2,2,1,1] [7,2,4,5,1,3,6]=>100100=>[1,3,3] [7,2,4,5,1,6,3]=>100101=>[1,3,2,1] [7,2,4,5,3,1,6]=>100110=>[1,3,1,2] [7,2,4,5,3,6,1]=>100101=>[1,3,2,1] [7,2,4,5,6,1,3]=>100010=>[1,4,2] [7,2,4,5,6,3,1]=>100011=>[1,4,1,1] [7,2,4,6,1,3,5]=>100100=>[1,3,3] [7,2,4,6,1,5,3]=>100101=>[1,3,2,1] [7,2,4,6,3,1,5]=>100110=>[1,3,1,2] [7,2,4,6,3,5,1]=>100101=>[1,3,2,1] [7,2,4,6,5,1,3]=>100110=>[1,3,1,2] [7,2,4,6,5,3,1]=>100111=>[1,3,1,1,1] [7,2,5,1,3,4,6]=>101000=>[1,2,4] [7,2,5,1,3,6,4]=>101001=>[1,2,3,1] [7,2,5,1,4,3,6]=>101010=>[1,2,2,2] [7,2,5,1,4,6,3]=>101001=>[1,2,3,1] [7,2,5,1,6,3,4]=>101010=>[1,2,2,2] [7,2,5,1,6,4,3]=>101011=>[1,2,2,1,1] [7,2,5,3,1,4,6]=>101100=>[1,2,1,3] [7,2,5,3,1,6,4]=>101101=>[1,2,1,2,1] [7,2,5,3,4,1,6]=>101010=>[1,2,2,2] [7,2,5,3,4,6,1]=>101001=>[1,2,3,1] [7,2,5,3,6,1,4]=>101010=>[1,2,2,2] [7,2,5,3,6,4,1]=>101011=>[1,2,2,1,1] [7,2,5,4,1,3,6]=>101100=>[1,2,1,3] [7,2,5,4,1,6,3]=>101101=>[1,2,1,2,1] [7,2,5,4,3,1,6]=>101110=>[1,2,1,1,2] [7,2,5,4,3,6,1]=>101101=>[1,2,1,2,1] [7,2,5,4,6,1,3]=>101010=>[1,2,2,2] [7,2,5,4,6,3,1]=>101011=>[1,2,2,1,1] [7,2,5,6,1,3,4]=>100100=>[1,3,3] [7,2,5,6,1,4,3]=>100101=>[1,3,2,1] [7,2,5,6,3,1,4]=>100110=>[1,3,1,2] [7,2,5,6,3,4,1]=>100101=>[1,3,2,1] [7,2,5,6,4,1,3]=>100110=>[1,3,1,2] [7,2,5,6,4,3,1]=>100111=>[1,3,1,1,1] [7,2,6,1,3,4,5]=>101000=>[1,2,4] [7,2,6,1,3,5,4]=>101001=>[1,2,3,1] [7,2,6,1,4,3,5]=>101010=>[1,2,2,2] [7,2,6,1,4,5,3]=>101001=>[1,2,3,1] [7,2,6,1,5,3,4]=>101010=>[1,2,2,2] [7,2,6,1,5,4,3]=>101011=>[1,2,2,1,1] [7,2,6,3,1,4,5]=>101100=>[1,2,1,3] [7,2,6,3,1,5,4]=>101101=>[1,2,1,2,1] [7,2,6,3,4,1,5]=>101010=>[1,2,2,2] [7,2,6,3,4,5,1]=>101001=>[1,2,3,1] [7,2,6,3,5,1,4]=>101010=>[1,2,2,2] [7,2,6,3,5,4,1]=>101011=>[1,2,2,1,1] [7,2,6,4,1,3,5]=>101100=>[1,2,1,3] [7,2,6,4,1,5,3]=>101101=>[1,2,1,2,1] [7,2,6,4,3,1,5]=>101110=>[1,2,1,1,2] [7,2,6,4,3,5,1]=>101101=>[1,2,1,2,1] [7,2,6,4,5,1,3]=>101010=>[1,2,2,2] [7,2,6,4,5,3,1]=>101011=>[1,2,2,1,1] [7,2,6,5,1,3,4]=>101100=>[1,2,1,3] [7,2,6,5,1,4,3]=>101101=>[1,2,1,2,1] [7,2,6,5,3,1,4]=>101110=>[1,2,1,1,2] [7,2,6,5,3,4,1]=>101101=>[1,2,1,2,1] [7,2,6,5,4,1,3]=>101110=>[1,2,1,1,2] [7,2,6,5,4,3,1]=>101111=>[1,2,1,1,1,1] [7,3,1,2,4,5,6]=>110000=>[1,1,5] [7,3,1,2,4,6,5]=>110001=>[1,1,4,1] [7,3,1,2,5,4,6]=>110010=>[1,1,3,2] [7,3,1,2,5,6,4]=>110001=>[1,1,4,1] [7,3,1,2,6,4,5]=>110010=>[1,1,3,2] [7,3,1,2,6,5,4]=>110011=>[1,1,3,1,1] [7,3,1,4,2,5,6]=>110100=>[1,1,2,3] [7,3,1,4,2,6,5]=>110101=>[1,1,2,2,1] [7,3,1,4,5,2,6]=>110010=>[1,1,3,2] [7,3,1,4,5,6,2]=>110001=>[1,1,4,1] [7,3,1,4,6,2,5]=>110010=>[1,1,3,2] [7,3,1,4,6,5,2]=>110011=>[1,1,3,1,1] [7,3,1,5,2,4,6]=>110100=>[1,1,2,3] [7,3,1,5,2,6,4]=>110101=>[1,1,2,2,1] [7,3,1,5,4,2,6]=>110110=>[1,1,2,1,2] [7,3,1,5,4,6,2]=>110101=>[1,1,2,2,1] [7,3,1,5,6,2,4]=>110010=>[1,1,3,2] [7,3,1,5,6,4,2]=>110011=>[1,1,3,1,1] [7,3,1,6,2,4,5]=>110100=>[1,1,2,3] [7,3,1,6,2,5,4]=>110101=>[1,1,2,2,1] [7,3,1,6,4,2,5]=>110110=>[1,1,2,1,2] [7,3,1,6,4,5,2]=>110101=>[1,1,2,2,1] [7,3,1,6,5,2,4]=>110110=>[1,1,2,1,2] [7,3,1,6,5,4,2]=>110111=>[1,1,2,1,1,1] [7,3,2,1,4,5,6]=>111000=>[1,1,1,4] [7,3,2,1,4,6,5]=>111001=>[1,1,1,3,1] [7,3,2,1,5,4,6]=>111010=>[1,1,1,2,2] [7,3,2,1,5,6,4]=>111001=>[1,1,1,3,1] [7,3,2,1,6,4,5]=>111010=>[1,1,1,2,2] [7,3,2,1,6,5,4]=>111011=>[1,1,1,2,1,1] [7,3,2,4,1,5,6]=>110100=>[1,1,2,3] [7,3,2,4,1,6,5]=>110101=>[1,1,2,2,1] [7,3,2,4,5,1,6]=>110010=>[1,1,3,2] [7,3,2,4,5,6,1]=>110001=>[1,1,4,1] [7,3,2,4,6,1,5]=>110010=>[1,1,3,2] [7,3,2,4,6,5,1]=>110011=>[1,1,3,1,1] [7,3,2,5,1,4,6]=>110100=>[1,1,2,3] [7,3,2,5,1,6,4]=>110101=>[1,1,2,2,1] [7,3,2,5,4,1,6]=>110110=>[1,1,2,1,2] [7,3,2,5,4,6,1]=>110101=>[1,1,2,2,1] [7,3,2,5,6,1,4]=>110010=>[1,1,3,2] [7,3,2,5,6,4,1]=>110011=>[1,1,3,1,1] [7,3,2,6,1,4,5]=>110100=>[1,1,2,3] [7,3,2,6,1,5,4]=>110101=>[1,1,2,2,1] [7,3,2,6,4,1,5]=>110110=>[1,1,2,1,2] [7,3,2,6,4,5,1]=>110101=>[1,1,2,2,1] [7,3,2,6,5,1,4]=>110110=>[1,1,2,1,2] [7,3,2,6,5,4,1]=>110111=>[1,1,2,1,1,1] [7,3,4,1,2,5,6]=>101000=>[1,2,4] [7,3,4,1,2,6,5]=>101001=>[1,2,3,1] [7,3,4,1,5,2,6]=>101010=>[1,2,2,2] [7,3,4,1,5,6,2]=>101001=>[1,2,3,1] [7,3,4,1,6,2,5]=>101010=>[1,2,2,2] [7,3,4,1,6,5,2]=>101011=>[1,2,2,1,1] [7,3,4,2,1,5,6]=>101100=>[1,2,1,3] [7,3,4,2,1,6,5]=>101101=>[1,2,1,2,1] [7,3,4,2,5,1,6]=>101010=>[1,2,2,2] [7,3,4,2,5,6,1]=>101001=>[1,2,3,1] [7,3,4,2,6,1,5]=>101010=>[1,2,2,2] [7,3,4,2,6,5,1]=>101011=>[1,2,2,1,1] [7,3,4,5,1,2,6]=>100100=>[1,3,3] [7,3,4,5,1,6,2]=>100101=>[1,3,2,1] [7,3,4,5,2,1,6]=>100110=>[1,3,1,2] [7,3,4,5,2,6,1]=>100101=>[1,3,2,1] [7,3,4,5,6,1,2]=>100010=>[1,4,2] [7,3,4,5,6,2,1]=>100011=>[1,4,1,1] [7,3,4,6,1,2,5]=>100100=>[1,3,3] [7,3,4,6,1,5,2]=>100101=>[1,3,2,1] [7,3,4,6,2,1,5]=>100110=>[1,3,1,2] [7,3,4,6,2,5,1]=>100101=>[1,3,2,1] [7,3,4,6,5,1,2]=>100110=>[1,3,1,2] [7,3,4,6,5,2,1]=>100111=>[1,3,1,1,1] [7,3,5,1,2,4,6]=>101000=>[1,2,4] [7,3,5,1,2,6,4]=>101001=>[1,2,3,1] [7,3,5,1,4,2,6]=>101010=>[1,2,2,2] [7,3,5,1,4,6,2]=>101001=>[1,2,3,1] [7,3,5,1,6,2,4]=>101010=>[1,2,2,2] [7,3,5,1,6,4,2]=>101011=>[1,2,2,1,1] [7,3,5,2,1,4,6]=>101100=>[1,2,1,3] [7,3,5,2,1,6,4]=>101101=>[1,2,1,2,1] [7,3,5,2,4,1,6]=>101010=>[1,2,2,2] [7,3,5,2,4,6,1]=>101001=>[1,2,3,1] [7,3,5,2,6,1,4]=>101010=>[1,2,2,2] [7,3,5,2,6,4,1]=>101011=>[1,2,2,1,1] [7,3,5,4,1,2,6]=>101100=>[1,2,1,3] [7,3,5,4,1,6,2]=>101101=>[1,2,1,2,1] [7,3,5,4,2,1,6]=>101110=>[1,2,1,1,2] [7,3,5,4,2,6,1]=>101101=>[1,2,1,2,1] [7,3,5,4,6,1,2]=>101010=>[1,2,2,2] [7,3,5,4,6,2,1]=>101011=>[1,2,2,1,1] [7,3,5,6,1,2,4]=>100100=>[1,3,3] [7,3,5,6,1,4,2]=>100101=>[1,3,2,1] [7,3,5,6,2,1,4]=>100110=>[1,3,1,2] [7,3,5,6,2,4,1]=>100101=>[1,3,2,1] [7,3,5,6,4,1,2]=>100110=>[1,3,1,2] [7,3,5,6,4,2,1]=>100111=>[1,3,1,1,1] [7,3,6,1,2,4,5]=>101000=>[1,2,4] [7,3,6,1,2,5,4]=>101001=>[1,2,3,1] [7,3,6,1,4,2,5]=>101010=>[1,2,2,2] [7,3,6,1,4,5,2]=>101001=>[1,2,3,1] [7,3,6,1,5,2,4]=>101010=>[1,2,2,2] [7,3,6,1,5,4,2]=>101011=>[1,2,2,1,1] [7,3,6,2,1,4,5]=>101100=>[1,2,1,3] [7,3,6,2,1,5,4]=>101101=>[1,2,1,2,1] [7,3,6,2,4,1,5]=>101010=>[1,2,2,2] [7,3,6,2,4,5,1]=>101001=>[1,2,3,1] [7,3,6,2,5,1,4]=>101010=>[1,2,2,2] [7,3,6,2,5,4,1]=>101011=>[1,2,2,1,1] [7,3,6,4,1,2,5]=>101100=>[1,2,1,3] [7,3,6,4,1,5,2]=>101101=>[1,2,1,2,1] [7,3,6,4,2,1,5]=>101110=>[1,2,1,1,2] [7,3,6,4,2,5,1]=>101101=>[1,2,1,2,1] [7,3,6,4,5,1,2]=>101010=>[1,2,2,2] [7,3,6,4,5,2,1]=>101011=>[1,2,2,1,1] [7,3,6,5,1,2,4]=>101100=>[1,2,1,3] [7,3,6,5,1,4,2]=>101101=>[1,2,1,2,1] [7,3,6,5,2,1,4]=>101110=>[1,2,1,1,2] [7,3,6,5,2,4,1]=>101101=>[1,2,1,2,1] [7,3,6,5,4,1,2]=>101110=>[1,2,1,1,2] [7,3,6,5,4,2,1]=>101111=>[1,2,1,1,1,1] [7,4,1,2,3,5,6]=>110000=>[1,1,5] [7,4,1,2,3,6,5]=>110001=>[1,1,4,1] [7,4,1,2,5,3,6]=>110010=>[1,1,3,2] [7,4,1,2,5,6,3]=>110001=>[1,1,4,1] [7,4,1,2,6,3,5]=>110010=>[1,1,3,2] [7,4,1,2,6,5,3]=>110011=>[1,1,3,1,1] [7,4,1,3,2,5,6]=>110100=>[1,1,2,3] [7,4,1,3,2,6,5]=>110101=>[1,1,2,2,1] [7,4,1,3,5,2,6]=>110010=>[1,1,3,2] [7,4,1,3,5,6,2]=>110001=>[1,1,4,1] [7,4,1,3,6,2,5]=>110010=>[1,1,3,2] [7,4,1,3,6,5,2]=>110011=>[1,1,3,1,1] [7,4,1,5,2,3,6]=>110100=>[1,1,2,3] [7,4,1,5,2,6,3]=>110101=>[1,1,2,2,1] [7,4,1,5,3,2,6]=>110110=>[1,1,2,1,2] [7,4,1,5,3,6,2]=>110101=>[1,1,2,2,1] [7,4,1,5,6,2,3]=>110010=>[1,1,3,2] [7,4,1,5,6,3,2]=>110011=>[1,1,3,1,1] [7,4,1,6,2,3,5]=>110100=>[1,1,2,3] [7,4,1,6,2,5,3]=>110101=>[1,1,2,2,1] [7,4,1,6,3,2,5]=>110110=>[1,1,2,1,2] [7,4,1,6,3,5,2]=>110101=>[1,1,2,2,1] [7,4,1,6,5,2,3]=>110110=>[1,1,2,1,2] [7,4,1,6,5,3,2]=>110111=>[1,1,2,1,1,1] [7,4,2,1,3,5,6]=>111000=>[1,1,1,4] [7,4,2,1,3,6,5]=>111001=>[1,1,1,3,1] [7,4,2,1,5,3,6]=>111010=>[1,1,1,2,2] [7,4,2,1,5,6,3]=>111001=>[1,1,1,3,1] [7,4,2,1,6,3,5]=>111010=>[1,1,1,2,2] [7,4,2,1,6,5,3]=>111011=>[1,1,1,2,1,1] [7,4,2,3,1,5,6]=>110100=>[1,1,2,3] [7,4,2,3,1,6,5]=>110101=>[1,1,2,2,1] [7,4,2,3,5,1,6]=>110010=>[1,1,3,2] [7,4,2,3,5,6,1]=>110001=>[1,1,4,1] [7,4,2,3,6,1,5]=>110010=>[1,1,3,2] [7,4,2,3,6,5,1]=>110011=>[1,1,3,1,1] [7,4,2,5,1,3,6]=>110100=>[1,1,2,3] [7,4,2,5,1,6,3]=>110101=>[1,1,2,2,1] [7,4,2,5,3,1,6]=>110110=>[1,1,2,1,2] [7,4,2,5,3,6,1]=>110101=>[1,1,2,2,1] [7,4,2,5,6,1,3]=>110010=>[1,1,3,2] [7,4,2,5,6,3,1]=>110011=>[1,1,3,1,1] [7,4,2,6,1,3,5]=>110100=>[1,1,2,3] [7,4,2,6,1,5,3]=>110101=>[1,1,2,2,1] [7,4,2,6,3,1,5]=>110110=>[1,1,2,1,2] [7,4,2,6,3,5,1]=>110101=>[1,1,2,2,1] [7,4,2,6,5,1,3]=>110110=>[1,1,2,1,2] [7,4,2,6,5,3,1]=>110111=>[1,1,2,1,1,1] [7,4,3,1,2,5,6]=>111000=>[1,1,1,4] [7,4,3,1,2,6,5]=>111001=>[1,1,1,3,1] [7,4,3,1,5,2,6]=>111010=>[1,1,1,2,2] [7,4,3,1,5,6,2]=>111001=>[1,1,1,3,1] [7,4,3,1,6,2,5]=>111010=>[1,1,1,2,2] [7,4,3,1,6,5,2]=>111011=>[1,1,1,2,1,1] [7,4,3,2,1,5,6]=>111100=>[1,1,1,1,3] [7,4,3,2,1,6,5]=>111101=>[1,1,1,1,2,1] [7,4,3,2,5,1,6]=>111010=>[1,1,1,2,2] [7,4,3,2,5,6,1]=>111001=>[1,1,1,3,1] [7,4,3,2,6,1,5]=>111010=>[1,1,1,2,2] [7,4,3,2,6,5,1]=>111011=>[1,1,1,2,1,1] [7,4,3,5,1,2,6]=>110100=>[1,1,2,3] [7,4,3,5,1,6,2]=>110101=>[1,1,2,2,1] [7,4,3,5,2,1,6]=>110110=>[1,1,2,1,2] [7,4,3,5,2,6,1]=>110101=>[1,1,2,2,1] [7,4,3,5,6,1,2]=>110010=>[1,1,3,2] [7,4,3,5,6,2,1]=>110011=>[1,1,3,1,1] [7,4,3,6,1,2,5]=>110100=>[1,1,2,3] [7,4,3,6,1,5,2]=>110101=>[1,1,2,2,1] [7,4,3,6,2,1,5]=>110110=>[1,1,2,1,2] [7,4,3,6,2,5,1]=>110101=>[1,1,2,2,1] [7,4,3,6,5,1,2]=>110110=>[1,1,2,1,2] [7,4,3,6,5,2,1]=>110111=>[1,1,2,1,1,1] [7,4,5,1,2,3,6]=>101000=>[1,2,4] [7,4,5,1,2,6,3]=>101001=>[1,2,3,1] [7,4,5,1,3,2,6]=>101010=>[1,2,2,2] [7,4,5,1,3,6,2]=>101001=>[1,2,3,1] [7,4,5,1,6,2,3]=>101010=>[1,2,2,2] [7,4,5,1,6,3,2]=>101011=>[1,2,2,1,1] [7,4,5,2,1,3,6]=>101100=>[1,2,1,3] [7,4,5,2,1,6,3]=>101101=>[1,2,1,2,1] [7,4,5,2,3,1,6]=>101010=>[1,2,2,2] [7,4,5,2,3,6,1]=>101001=>[1,2,3,1] [7,4,5,2,6,1,3]=>101010=>[1,2,2,2] [7,4,5,2,6,3,1]=>101011=>[1,2,2,1,1] [7,4,5,3,1,2,6]=>101100=>[1,2,1,3] [7,4,5,3,1,6,2]=>101101=>[1,2,1,2,1] [7,4,5,3,2,1,6]=>101110=>[1,2,1,1,2] [7,4,5,3,2,6,1]=>101101=>[1,2,1,2,1] [7,4,5,3,6,1,2]=>101010=>[1,2,2,2] [7,4,5,3,6,2,1]=>101011=>[1,2,2,1,1] [7,4,5,6,1,2,3]=>100100=>[1,3,3] [7,4,5,6,1,3,2]=>100101=>[1,3,2,1] [7,4,5,6,2,1,3]=>100110=>[1,3,1,2] [7,4,5,6,2,3,1]=>100101=>[1,3,2,1] [7,4,5,6,3,1,2]=>100110=>[1,3,1,2] [7,4,5,6,3,2,1]=>100111=>[1,3,1,1,1] [7,4,6,1,2,3,5]=>101000=>[1,2,4] [7,4,6,1,2,5,3]=>101001=>[1,2,3,1] [7,4,6,1,3,2,5]=>101010=>[1,2,2,2] [7,4,6,1,3,5,2]=>101001=>[1,2,3,1] [7,4,6,1,5,2,3]=>101010=>[1,2,2,2] [7,4,6,1,5,3,2]=>101011=>[1,2,2,1,1] [7,4,6,2,1,3,5]=>101100=>[1,2,1,3] [7,4,6,2,1,5,3]=>101101=>[1,2,1,2,1] [7,4,6,2,3,1,5]=>101010=>[1,2,2,2] [7,4,6,2,3,5,1]=>101001=>[1,2,3,1] [7,4,6,2,5,1,3]=>101010=>[1,2,2,2] [7,4,6,2,5,3,1]=>101011=>[1,2,2,1,1] [7,4,6,3,1,2,5]=>101100=>[1,2,1,3] [7,4,6,3,1,5,2]=>101101=>[1,2,1,2,1] [7,4,6,3,2,1,5]=>101110=>[1,2,1,1,2] [7,4,6,3,2,5,1]=>101101=>[1,2,1,2,1] [7,4,6,3,5,1,2]=>101010=>[1,2,2,2] [7,4,6,3,5,2,1]=>101011=>[1,2,2,1,1] [7,4,6,5,1,2,3]=>101100=>[1,2,1,3] [7,4,6,5,1,3,2]=>101101=>[1,2,1,2,1] [7,4,6,5,2,1,3]=>101110=>[1,2,1,1,2] [7,4,6,5,2,3,1]=>101101=>[1,2,1,2,1] [7,4,6,5,3,1,2]=>101110=>[1,2,1,1,2] [7,4,6,5,3,2,1]=>101111=>[1,2,1,1,1,1] [7,5,1,2,3,4,6]=>110000=>[1,1,5] [7,5,1,2,3,6,4]=>110001=>[1,1,4,1] [7,5,1,2,4,3,6]=>110010=>[1,1,3,2] [7,5,1,2,4,6,3]=>110001=>[1,1,4,1] [7,5,1,2,6,3,4]=>110010=>[1,1,3,2] [7,5,1,2,6,4,3]=>110011=>[1,1,3,1,1] [7,5,1,3,2,4,6]=>110100=>[1,1,2,3] [7,5,1,3,2,6,4]=>110101=>[1,1,2,2,1] [7,5,1,3,4,2,6]=>110010=>[1,1,3,2] [7,5,1,3,4,6,2]=>110001=>[1,1,4,1] [7,5,1,3,6,2,4]=>110010=>[1,1,3,2] [7,5,1,3,6,4,2]=>110011=>[1,1,3,1,1] [7,5,1,4,2,3,6]=>110100=>[1,1,2,3] [7,5,1,4,2,6,3]=>110101=>[1,1,2,2,1] [7,5,1,4,3,2,6]=>110110=>[1,1,2,1,2] [7,5,1,4,3,6,2]=>110101=>[1,1,2,2,1] [7,5,1,4,6,2,3]=>110010=>[1,1,3,2] [7,5,1,4,6,3,2]=>110011=>[1,1,3,1,1] [7,5,1,6,2,3,4]=>110100=>[1,1,2,3] [7,5,1,6,2,4,3]=>110101=>[1,1,2,2,1] [7,5,1,6,3,2,4]=>110110=>[1,1,2,1,2] [7,5,1,6,3,4,2]=>110101=>[1,1,2,2,1] [7,5,1,6,4,2,3]=>110110=>[1,1,2,1,2] [7,5,1,6,4,3,2]=>110111=>[1,1,2,1,1,1] [7,5,2,1,3,4,6]=>111000=>[1,1,1,4] [7,5,2,1,3,6,4]=>111001=>[1,1,1,3,1] [7,5,2,1,4,3,6]=>111010=>[1,1,1,2,2] [7,5,2,1,4,6,3]=>111001=>[1,1,1,3,1] [7,5,2,1,6,3,4]=>111010=>[1,1,1,2,2] [7,5,2,1,6,4,3]=>111011=>[1,1,1,2,1,1] [7,5,2,3,1,4,6]=>110100=>[1,1,2,3] [7,5,2,3,1,6,4]=>110101=>[1,1,2,2,1] [7,5,2,3,4,1,6]=>110010=>[1,1,3,2] [7,5,2,3,4,6,1]=>110001=>[1,1,4,1] [7,5,2,3,6,1,4]=>110010=>[1,1,3,2] [7,5,2,3,6,4,1]=>110011=>[1,1,3,1,1] [7,5,2,4,1,3,6]=>110100=>[1,1,2,3] [7,5,2,4,1,6,3]=>110101=>[1,1,2,2,1] [7,5,2,4,3,1,6]=>110110=>[1,1,2,1,2] [7,5,2,4,3,6,1]=>110101=>[1,1,2,2,1] [7,5,2,4,6,1,3]=>110010=>[1,1,3,2] [7,5,2,4,6,3,1]=>110011=>[1,1,3,1,1] [7,5,2,6,1,3,4]=>110100=>[1,1,2,3] [7,5,2,6,1,4,3]=>110101=>[1,1,2,2,1] [7,5,2,6,3,1,4]=>110110=>[1,1,2,1,2] [7,5,2,6,3,4,1]=>110101=>[1,1,2,2,1] [7,5,2,6,4,1,3]=>110110=>[1,1,2,1,2] [7,5,2,6,4,3,1]=>110111=>[1,1,2,1,1,1] [7,5,3,1,2,4,6]=>111000=>[1,1,1,4] [7,5,3,1,2,6,4]=>111001=>[1,1,1,3,1] [7,5,3,1,4,2,6]=>111010=>[1,1,1,2,2] [7,5,3,1,4,6,2]=>111001=>[1,1,1,3,1] [7,5,3,1,6,2,4]=>111010=>[1,1,1,2,2] [7,5,3,1,6,4,2]=>111011=>[1,1,1,2,1,1] [7,5,3,2,1,4,6]=>111100=>[1,1,1,1,3] [7,5,3,2,1,6,4]=>111101=>[1,1,1,1,2,1] [7,5,3,2,4,1,6]=>111010=>[1,1,1,2,2] [7,5,3,2,4,6,1]=>111001=>[1,1,1,3,1] [7,5,3,2,6,1,4]=>111010=>[1,1,1,2,2] [7,5,3,2,6,4,1]=>111011=>[1,1,1,2,1,1] [7,5,3,4,1,2,6]=>110100=>[1,1,2,3] [7,5,3,4,1,6,2]=>110101=>[1,1,2,2,1] [7,5,3,4,2,1,6]=>110110=>[1,1,2,1,2] [7,5,3,4,2,6,1]=>110101=>[1,1,2,2,1] [7,5,3,4,6,1,2]=>110010=>[1,1,3,2] [7,5,3,4,6,2,1]=>110011=>[1,1,3,1,1] [7,5,3,6,1,2,4]=>110100=>[1,1,2,3] [7,5,3,6,1,4,2]=>110101=>[1,1,2,2,1] [7,5,3,6,2,1,4]=>110110=>[1,1,2,1,2] [7,5,3,6,2,4,1]=>110101=>[1,1,2,2,1] [7,5,3,6,4,1,2]=>110110=>[1,1,2,1,2] [7,5,3,6,4,2,1]=>110111=>[1,1,2,1,1,1] [7,5,4,1,2,3,6]=>111000=>[1,1,1,4] [7,5,4,1,2,6,3]=>111001=>[1,1,1,3,1] [7,5,4,1,3,2,6]=>111010=>[1,1,1,2,2] [7,5,4,1,3,6,2]=>111001=>[1,1,1,3,1] [7,5,4,1,6,2,3]=>111010=>[1,1,1,2,2] [7,5,4,1,6,3,2]=>111011=>[1,1,1,2,1,1] [7,5,4,2,1,3,6]=>111100=>[1,1,1,1,3] [7,5,4,2,1,6,3]=>111101=>[1,1,1,1,2,1] [7,5,4,2,3,1,6]=>111010=>[1,1,1,2,2] [7,5,4,2,3,6,1]=>111001=>[1,1,1,3,1] [7,5,4,2,6,1,3]=>111010=>[1,1,1,2,2] [7,5,4,2,6,3,1]=>111011=>[1,1,1,2,1,1] [7,5,4,3,1,2,6]=>111100=>[1,1,1,1,3] [7,5,4,3,1,6,2]=>111101=>[1,1,1,1,2,1] [7,5,4,3,2,1,6]=>111110=>[1,1,1,1,1,2] [7,5,4,3,2,6,1]=>111101=>[1,1,1,1,2,1] [7,5,4,3,6,1,2]=>111010=>[1,1,1,2,2] [7,5,4,3,6,2,1]=>111011=>[1,1,1,2,1,1] [7,5,4,6,1,2,3]=>110100=>[1,1,2,3] [7,5,4,6,1,3,2]=>110101=>[1,1,2,2,1] [7,5,4,6,2,1,3]=>110110=>[1,1,2,1,2] [7,5,4,6,2,3,1]=>110101=>[1,1,2,2,1] [7,5,4,6,3,1,2]=>110110=>[1,1,2,1,2] [7,5,4,6,3,2,1]=>110111=>[1,1,2,1,1,1] [7,5,6,1,2,3,4]=>101000=>[1,2,4] [7,5,6,1,2,4,3]=>101001=>[1,2,3,1] [7,5,6,1,3,2,4]=>101010=>[1,2,2,2] [7,5,6,1,3,4,2]=>101001=>[1,2,3,1] [7,5,6,1,4,2,3]=>101010=>[1,2,2,2] [7,5,6,1,4,3,2]=>101011=>[1,2,2,1,1] [7,5,6,2,1,3,4]=>101100=>[1,2,1,3] [7,5,6,2,1,4,3]=>101101=>[1,2,1,2,1] [7,5,6,2,3,1,4]=>101010=>[1,2,2,2] [7,5,6,2,3,4,1]=>101001=>[1,2,3,1] [7,5,6,2,4,1,3]=>101010=>[1,2,2,2] [7,5,6,2,4,3,1]=>101011=>[1,2,2,1,1] [7,5,6,3,1,2,4]=>101100=>[1,2,1,3] [7,5,6,3,1,4,2]=>101101=>[1,2,1,2,1] [7,5,6,3,2,1,4]=>101110=>[1,2,1,1,2] [7,5,6,3,2,4,1]=>101101=>[1,2,1,2,1] [7,5,6,3,4,1,2]=>101010=>[1,2,2,2] [7,5,6,3,4,2,1]=>101011=>[1,2,2,1,1] [7,5,6,4,1,2,3]=>101100=>[1,2,1,3] [7,5,6,4,1,3,2]=>101101=>[1,2,1,2,1] [7,5,6,4,2,1,3]=>101110=>[1,2,1,1,2] [7,5,6,4,2,3,1]=>101101=>[1,2,1,2,1] [7,5,6,4,3,1,2]=>101110=>[1,2,1,1,2] [7,5,6,4,3,2,1]=>101111=>[1,2,1,1,1,1] [7,6,1,2,3,4,5]=>110000=>[1,1,5] [7,6,1,2,3,5,4]=>110001=>[1,1,4,1] [7,6,1,2,4,3,5]=>110010=>[1,1,3,2] [7,6,1,2,4,5,3]=>110001=>[1,1,4,1] [7,6,1,2,5,3,4]=>110010=>[1,1,3,2] [7,6,1,2,5,4,3]=>110011=>[1,1,3,1,1] [7,6,1,3,2,4,5]=>110100=>[1,1,2,3] [7,6,1,3,2,5,4]=>110101=>[1,1,2,2,1] [7,6,1,3,4,2,5]=>110010=>[1,1,3,2] [7,6,1,3,4,5,2]=>110001=>[1,1,4,1] [7,6,1,3,5,2,4]=>110010=>[1,1,3,2] [7,6,1,3,5,4,2]=>110011=>[1,1,3,1,1] [7,6,1,4,2,3,5]=>110100=>[1,1,2,3] [7,6,1,4,2,5,3]=>110101=>[1,1,2,2,1] [7,6,1,4,3,2,5]=>110110=>[1,1,2,1,2] [7,6,1,4,3,5,2]=>110101=>[1,1,2,2,1] [7,6,1,4,5,2,3]=>110010=>[1,1,3,2] [7,6,1,4,5,3,2]=>110011=>[1,1,3,1,1] [7,6,1,5,2,3,4]=>110100=>[1,1,2,3] [7,6,1,5,2,4,3]=>110101=>[1,1,2,2,1] [7,6,1,5,3,2,4]=>110110=>[1,1,2,1,2] [7,6,1,5,3,4,2]=>110101=>[1,1,2,2,1] [7,6,1,5,4,2,3]=>110110=>[1,1,2,1,2] [7,6,1,5,4,3,2]=>110111=>[1,1,2,1,1,1] [7,6,2,1,3,4,5]=>111000=>[1,1,1,4] [7,6,2,1,3,5,4]=>111001=>[1,1,1,3,1] [7,6,2,1,4,3,5]=>111010=>[1,1,1,2,2] [7,6,2,1,4,5,3]=>111001=>[1,1,1,3,1] [7,6,2,1,5,3,4]=>111010=>[1,1,1,2,2] [7,6,2,1,5,4,3]=>111011=>[1,1,1,2,1,1] [7,6,2,3,1,4,5]=>110100=>[1,1,2,3] [7,6,2,3,1,5,4]=>110101=>[1,1,2,2,1] [7,6,2,3,4,1,5]=>110010=>[1,1,3,2] [7,6,2,3,4,5,1]=>110001=>[1,1,4,1] [7,6,2,3,5,1,4]=>110010=>[1,1,3,2] [7,6,2,3,5,4,1]=>110011=>[1,1,3,1,1] [7,6,2,4,1,3,5]=>110100=>[1,1,2,3] [7,6,2,4,1,5,3]=>110101=>[1,1,2,2,1] [7,6,2,4,3,1,5]=>110110=>[1,1,2,1,2] [7,6,2,4,3,5,1]=>110101=>[1,1,2,2,1] [7,6,2,4,5,1,3]=>110010=>[1,1,3,2] [7,6,2,4,5,3,1]=>110011=>[1,1,3,1,1] [7,6,2,5,1,3,4]=>110100=>[1,1,2,3] [7,6,2,5,1,4,3]=>110101=>[1,1,2,2,1] [7,6,2,5,3,1,4]=>110110=>[1,1,2,1,2] [7,6,2,5,3,4,1]=>110101=>[1,1,2,2,1] [7,6,2,5,4,1,3]=>110110=>[1,1,2,1,2] [7,6,2,5,4,3,1]=>110111=>[1,1,2,1,1,1] [7,6,3,1,2,4,5]=>111000=>[1,1,1,4] [7,6,3,1,2,5,4]=>111001=>[1,1,1,3,1] [7,6,3,1,4,2,5]=>111010=>[1,1,1,2,2] [7,6,3,1,4,5,2]=>111001=>[1,1,1,3,1] [7,6,3,1,5,2,4]=>111010=>[1,1,1,2,2] [7,6,3,1,5,4,2]=>111011=>[1,1,1,2,1,1] [7,6,3,2,1,4,5]=>111100=>[1,1,1,1,3] [7,6,3,2,1,5,4]=>111101=>[1,1,1,1,2,1] [7,6,3,2,4,1,5]=>111010=>[1,1,1,2,2] [7,6,3,2,4,5,1]=>111001=>[1,1,1,3,1] [7,6,3,2,5,1,4]=>111010=>[1,1,1,2,2] [7,6,3,2,5,4,1]=>111011=>[1,1,1,2,1,1] [7,6,3,4,1,2,5]=>110100=>[1,1,2,3] [7,6,3,4,1,5,2]=>110101=>[1,1,2,2,1] [7,6,3,4,2,1,5]=>110110=>[1,1,2,1,2] [7,6,3,4,2,5,1]=>110101=>[1,1,2,2,1] [7,6,3,4,5,1,2]=>110010=>[1,1,3,2] [7,6,3,4,5,2,1]=>110011=>[1,1,3,1,1] [7,6,3,5,1,2,4]=>110100=>[1,1,2,3] [7,6,3,5,1,4,2]=>110101=>[1,1,2,2,1] [7,6,3,5,2,1,4]=>110110=>[1,1,2,1,2] [7,6,3,5,2,4,1]=>110101=>[1,1,2,2,1] [7,6,3,5,4,1,2]=>110110=>[1,1,2,1,2] [7,6,3,5,4,2,1]=>110111=>[1,1,2,1,1,1] [7,6,4,1,2,3,5]=>111000=>[1,1,1,4] [7,6,4,1,2,5,3]=>111001=>[1,1,1,3,1] [7,6,4,1,3,2,5]=>111010=>[1,1,1,2,2] [7,6,4,1,3,5,2]=>111001=>[1,1,1,3,1] [7,6,4,1,5,2,3]=>111010=>[1,1,1,2,2] [7,6,4,1,5,3,2]=>111011=>[1,1,1,2,1,1] [7,6,4,2,1,3,5]=>111100=>[1,1,1,1,3] [7,6,4,2,1,5,3]=>111101=>[1,1,1,1,2,1] [7,6,4,2,3,1,5]=>111010=>[1,1,1,2,2] [7,6,4,2,3,5,1]=>111001=>[1,1,1,3,1] [7,6,4,2,5,1,3]=>111010=>[1,1,1,2,2] [7,6,4,2,5,3,1]=>111011=>[1,1,1,2,1,1] [7,6,4,3,1,2,5]=>111100=>[1,1,1,1,3] [7,6,4,3,1,5,2]=>111101=>[1,1,1,1,2,1] [7,6,4,3,2,1,5]=>111110=>[1,1,1,1,1,2] [7,6,4,3,2,5,1]=>111101=>[1,1,1,1,2,1] [7,6,4,3,5,1,2]=>111010=>[1,1,1,2,2] [7,6,4,3,5,2,1]=>111011=>[1,1,1,2,1,1] [7,6,4,5,1,2,3]=>110100=>[1,1,2,3] [7,6,4,5,1,3,2]=>110101=>[1,1,2,2,1] [7,6,4,5,2,1,3]=>110110=>[1,1,2,1,2] [7,6,4,5,2,3,1]=>110101=>[1,1,2,2,1] [7,6,4,5,3,1,2]=>110110=>[1,1,2,1,2] [7,6,4,5,3,2,1]=>110111=>[1,1,2,1,1,1] [7,6,5,1,2,3,4]=>111000=>[1,1,1,4] [7,6,5,1,2,4,3]=>111001=>[1,1,1,3,1] [7,6,5,1,3,2,4]=>111010=>[1,1,1,2,2] [7,6,5,1,3,4,2]=>111001=>[1,1,1,3,1] [7,6,5,1,4,2,3]=>111010=>[1,1,1,2,2] [7,6,5,1,4,3,2]=>111011=>[1,1,1,2,1,1] [7,6,5,2,1,3,4]=>111100=>[1,1,1,1,3] [7,6,5,2,1,4,3]=>111101=>[1,1,1,1,2,1] [7,6,5,2,3,1,4]=>111010=>[1,1,1,2,2] [7,6,5,2,3,4,1]=>111001=>[1,1,1,3,1] [7,6,5,2,4,1,3]=>111010=>[1,1,1,2,2] [7,6,5,2,4,3,1]=>111011=>[1,1,1,2,1,1] [7,6,5,3,1,2,4]=>111100=>[1,1,1,1,3] [7,6,5,3,1,4,2]=>111101=>[1,1,1,1,2,1] [7,6,5,3,2,1,4]=>111110=>[1,1,1,1,1,2] [7,6,5,3,2,4,1]=>111101=>[1,1,1,1,2,1] [7,6,5,3,4,1,2]=>111010=>[1,1,1,2,2] [7,6,5,3,4,2,1]=>111011=>[1,1,1,2,1,1] [7,6,5,4,1,2,3]=>111100=>[1,1,1,1,3] [7,6,5,4,1,3,2]=>111101=>[1,1,1,1,2,1] [7,6,5,4,2,1,3]=>111110=>[1,1,1,1,1,2] [7,6,5,4,2,3,1]=>111101=>[1,1,1,1,2,1] [7,6,5,4,3,1,2]=>111110=>[1,1,1,1,1,2] [7,6,5,4,3,2,1]=>111111=>[1,1,1,1,1,1,1] [8,7,6,5,4,3,2,1]=>1111111=>[1,1,1,1,1,1,1,1] [7,8,6,5,4,3,2,1]=>0111111=>[2,1,1,1,1,1,1] [8,6,7,5,4,3,2,1]=>1011111=>[1,2,1,1,1,1,1] [7,6,8,5,4,3,2,1]=>1011111=>[1,2,1,1,1,1,1] [6,7,8,5,4,3,2,1]=>0011111=>[3,1,1,1,1,1] [8,7,5,6,4,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [7,8,5,6,4,3,2,1]=>0101111=>[2,2,1,1,1,1] [8,6,5,7,4,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [8,5,6,7,4,3,2,1]=>1001111=>[1,3,1,1,1,1] [7,6,5,8,4,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [6,7,5,8,4,3,2,1]=>0101111=>[2,2,1,1,1,1] [7,5,6,8,4,3,2,1]=>1001111=>[1,3,1,1,1,1] [6,5,7,8,4,3,2,1]=>1001111=>[1,3,1,1,1,1] [5,6,7,8,4,3,2,1]=>0001111=>[4,1,1,1,1] [8,7,6,4,5,3,2,1]=>1110111=>[1,1,1,2,1,1,1] [7,8,6,4,5,3,2,1]=>0110111=>[2,1,2,1,1,1] [8,6,7,4,5,3,2,1]=>1010111=>[1,2,2,1,1,1] [7,6,8,4,5,3,2,1]=>1010111=>[1,2,2,1,1,1] [8,7,5,4,6,3,2,1]=>1110111=>[1,1,1,2,1,1,1] [8,7,4,5,6,3,2,1]=>1100111=>[1,1,3,1,1,1] [8,6,5,4,7,3,2,1]=>1110111=>[1,1,1,2,1,1,1] [8,5,6,4,7,3,2,1]=>1010111=>[1,2,2,1,1,1] [8,6,4,5,7,3,2,1]=>1100111=>[1,1,3,1,1,1] [8,5,4,6,7,3,2,1]=>1100111=>[1,1,3,1,1,1] [8,4,5,6,7,3,2,1]=>1000111=>[1,4,1,1,1] [7,6,5,4,8,3,2,1]=>1110111=>[1,1,1,2,1,1,1] [6,7,5,4,8,3,2,1]=>0110111=>[2,1,2,1,1,1] [7,5,6,4,8,3,2,1]=>1010111=>[1,2,2,1,1,1] [6,5,7,4,8,3,2,1]=>1010111=>[1,2,2,1,1,1] [5,6,7,4,8,3,2,1]=>0010111=>[3,2,1,1,1] [7,6,4,5,8,3,2,1]=>1100111=>[1,1,3,1,1,1] [6,7,4,5,8,3,2,1]=>0100111=>[2,3,1,1,1] [7,5,4,6,8,3,2,1]=>1100111=>[1,1,3,1,1,1] [7,4,5,6,8,3,2,1]=>1000111=>[1,4,1,1,1] [6,5,4,7,8,3,2,1]=>1100111=>[1,1,3,1,1,1] [5,6,4,7,8,3,2,1]=>0100111=>[2,3,1,1,1] [6,4,5,7,8,3,2,1]=>1000111=>[1,4,1,1,1] [5,4,6,7,8,3,2,1]=>1000111=>[1,4,1,1,1] [4,5,6,7,8,3,2,1]=>0000111=>[5,1,1,1] [8,7,6,5,3,4,2,1]=>1111011=>[1,1,1,1,2,1,1] [7,8,6,5,3,4,2,1]=>0111011=>[2,1,1,2,1,1] [8,6,7,5,3,4,2,1]=>1011011=>[1,2,1,2,1,1] [7,6,8,5,3,4,2,1]=>1011011=>[1,2,1,2,1,1] [8,7,5,6,3,4,2,1]=>1101011=>[1,1,2,2,1,1] [7,8,5,6,3,4,2,1]=>0101011=>[2,2,2,1,1] [8,5,6,7,3,4,2,1]=>1001011=>[1,3,2,1,1] [7,6,5,8,3,4,2,1]=>1101011=>[1,1,2,2,1,1] [6,7,5,8,3,4,2,1]=>0101011=>[2,2,2,1,1] [6,5,7,8,3,4,2,1]=>1001011=>[1,3,2,1,1] [5,6,7,8,3,4,2,1]=>0001011=>[4,2,1,1] [8,7,6,4,3,5,2,1]=>1111011=>[1,1,1,1,2,1,1] [7,8,6,4,3,5,2,1]=>0111011=>[2,1,1,2,1,1] [8,6,7,4,3,5,2,1]=>1011011=>[1,2,1,2,1,1] [7,6,8,4,3,5,2,1]=>1011011=>[1,2,1,2,1,1] [6,7,8,4,3,5,2,1]=>0011011=>[3,1,2,1,1] [8,7,6,3,4,5,2,1]=>1110011=>[1,1,1,3,1,1] [7,8,6,3,4,5,2,1]=>0110011=>[2,1,3,1,1] [8,6,7,3,4,5,2,1]=>1010011=>[1,2,3,1,1] [7,6,8,3,4,5,2,1]=>1010011=>[1,2,3,1,1] [6,7,8,3,4,5,2,1]=>0010011=>[3,3,1,1] [8,7,5,4,3,6,2,1]=>1111011=>[1,1,1,1,2,1,1] [7,8,5,4,3,6,2,1]=>0111011=>[2,1,1,2,1,1] [8,7,4,5,3,6,2,1]=>1101011=>[1,1,2,2,1,1] [8,7,5,3,4,6,2,1]=>1110011=>[1,1,1,3,1,1] [7,8,5,3,4,6,2,1]=>0110011=>[2,1,3,1,1] [8,7,4,3,5,6,2,1]=>1110011=>[1,1,1,3,1,1] [8,7,3,4,5,6,2,1]=>1100011=>[1,1,4,1,1] [7,8,3,4,5,6,2,1]=>0100011=>[2,4,1,1] [8,6,5,4,3,7,2,1]=>1111011=>[1,1,1,1,2,1,1] [8,6,4,5,3,7,2,1]=>1101011=>[1,1,2,2,1,1] [8,6,4,3,5,7,2,1]=>1110011=>[1,1,1,3,1,1] [8,5,4,3,6,7,2,1]=>1110011=>[1,1,1,3,1,1] [8,5,3,4,6,7,2,1]=>1100011=>[1,1,4,1,1] [8,4,3,5,6,7,2,1]=>1100011=>[1,1,4,1,1] [8,3,4,5,6,7,2,1]=>1000011=>[1,5,1,1] [7,6,5,4,3,8,2,1]=>1111011=>[1,1,1,1,2,1,1] [6,7,5,4,3,8,2,1]=>0111011=>[2,1,1,2,1,1] [7,5,6,4,3,8,2,1]=>1011011=>[1,2,1,2,1,1] [6,5,7,4,3,8,2,1]=>1011011=>[1,2,1,2,1,1] [5,6,7,4,3,8,2,1]=>0011011=>[3,1,2,1,1] [6,7,4,5,3,8,2,1]=>0101011=>[2,2,2,1,1] [7,5,4,6,3,8,2,1]=>1101011=>[1,1,2,2,1,1] [7,4,5,6,3,8,2,1]=>1001011=>[1,3,2,1,1] [6,5,4,7,3,8,2,1]=>1101011=>[1,1,2,2,1,1] [6,4,5,7,3,8,2,1]=>1001011=>[1,3,2,1,1] [5,4,6,7,3,8,2,1]=>1001011=>[1,3,2,1,1] [4,5,6,7,3,8,2,1]=>0001011=>[4,2,1,1] [7,6,5,3,4,8,2,1]=>1110011=>[1,1,1,3,1,1] [7,6,4,3,5,8,2,1]=>1110011=>[1,1,1,3,1,1] [7,6,3,4,5,8,2,1]=>1100011=>[1,1,4,1,1] [7,5,4,3,6,8,2,1]=>1110011=>[1,1,1,3,1,1] [7,5,3,4,6,8,2,1]=>1100011=>[1,1,4,1,1] [7,3,4,5,6,8,2,1]=>1000011=>[1,5,1,1] [6,5,4,3,7,8,2,1]=>1110011=>[1,1,1,3,1,1] [4,5,6,3,7,8,2,1]=>0010011=>[3,3,1,1] [6,5,3,4,7,8,2,1]=>1100011=>[1,1,4,1,1] [6,3,4,5,7,8,2,1]=>1000011=>[1,5,1,1] [5,4,3,6,7,8,2,1]=>1100011=>[1,1,4,1,1] [5,3,4,6,7,8,2,1]=>1000011=>[1,5,1,1] [4,3,5,6,7,8,2,1]=>1000011=>[1,5,1,1] [3,4,5,6,7,8,2,1]=>0000011=>[6,1,1] [8,7,6,5,4,2,3,1]=>1111101=>[1,1,1,1,1,2,1] [7,8,6,5,4,2,3,1]=>0111101=>[2,1,1,1,2,1] [8,6,7,5,4,2,3,1]=>1011101=>[1,2,1,1,2,1] [7,6,8,5,4,2,3,1]=>1011101=>[1,2,1,1,2,1] [8,7,5,6,4,2,3,1]=>1101101=>[1,1,2,1,2,1] [8,6,5,7,4,2,3,1]=>1101101=>[1,1,2,1,2,1] [8,5,6,7,4,2,3,1]=>1001101=>[1,3,1,2,1] [7,6,5,8,4,2,3,1]=>1101101=>[1,1,2,1,2,1] [6,7,5,8,4,2,3,1]=>0101101=>[2,2,1,2,1] [7,5,6,8,4,2,3,1]=>1001101=>[1,3,1,2,1] [5,6,7,8,4,2,3,1]=>0001101=>[4,1,2,1] [8,7,6,4,5,2,3,1]=>1110101=>[1,1,1,2,2,1] [8,6,7,4,5,2,3,1]=>1010101=>[1,2,2,2,1] [7,6,8,4,5,2,3,1]=>1010101=>[1,2,2,2,1] [8,7,5,4,6,2,3,1]=>1110101=>[1,1,1,2,2,1] [8,7,4,5,6,2,3,1]=>1100101=>[1,1,3,2,1] [7,8,4,5,6,2,3,1]=>0100101=>[2,3,2,1] [8,6,5,4,7,2,3,1]=>1110101=>[1,1,1,2,2,1] [8,5,6,4,7,2,3,1]=>1010101=>[1,2,2,2,1] [8,6,4,5,7,2,3,1]=>1100101=>[1,1,3,2,1] [8,4,5,6,7,2,3,1]=>1000101=>[1,4,2,1] [7,6,5,4,8,2,3,1]=>1110101=>[1,1,1,2,2,1] [7,5,6,4,8,2,3,1]=>1010101=>[1,2,2,2,1] [6,5,7,4,8,2,3,1]=>1010101=>[1,2,2,2,1] [6,7,4,5,8,2,3,1]=>0100101=>[2,3,2,1] [4,5,6,7,8,2,3,1]=>0000101=>[5,2,1] [8,7,6,5,3,2,4,1]=>1111101=>[1,1,1,1,1,2,1] [7,8,6,5,3,2,4,1]=>0111101=>[2,1,1,1,2,1] [8,6,7,5,3,2,4,1]=>1011101=>[1,2,1,1,2,1] [7,6,8,5,3,2,4,1]=>1011101=>[1,2,1,1,2,1] [6,7,8,5,3,2,4,1]=>0011101=>[3,1,1,2,1] [8,7,5,6,3,2,4,1]=>1101101=>[1,1,2,1,2,1] [8,6,5,7,3,2,4,1]=>1101101=>[1,1,2,1,2,1] [8,5,6,7,3,2,4,1]=>1001101=>[1,3,1,2,1] [7,6,5,8,3,2,4,1]=>1101101=>[1,1,2,1,2,1] [6,7,5,8,3,2,4,1]=>0101101=>[2,2,1,2,1] [5,6,7,8,3,2,4,1]=>0001101=>[4,1,2,1] [8,7,6,5,2,3,4,1]=>1111001=>[1,1,1,1,3,1] [8,6,7,5,2,3,4,1]=>1011001=>[1,2,1,3,1] [7,6,8,5,2,3,4,1]=>1011001=>[1,2,1,3,1] [6,7,8,5,2,3,4,1]=>0011001=>[3,1,3,1] [8,7,5,6,2,3,4,1]=>1101001=>[1,1,2,3,1] [7,8,5,6,2,3,4,1]=>0101001=>[2,2,3,1] [8,6,5,7,2,3,4,1]=>1101001=>[1,1,2,3,1] [8,5,6,7,2,3,4,1]=>1001001=>[1,3,3,1] [7,6,5,8,2,3,4,1]=>1101001=>[1,1,2,3,1] [6,7,5,8,2,3,4,1]=>0101001=>[2,2,3,1] [6,5,7,8,2,3,4,1]=>1001001=>[1,3,3,1] [5,6,7,8,2,3,4,1]=>0001001=>[4,3,1] [8,7,6,4,3,2,5,1]=>1111101=>[1,1,1,1,1,2,1] [7,8,6,4,3,2,5,1]=>0111101=>[2,1,1,1,2,1] [8,6,7,4,3,2,5,1]=>1011101=>[1,2,1,1,2,1] [7,6,8,4,3,2,5,1]=>1011101=>[1,2,1,1,2,1] [6,7,8,4,3,2,5,1]=>0011101=>[3,1,1,2,1] [8,7,6,3,4,2,5,1]=>1110101=>[1,1,1,2,2,1] [7,8,6,3,4,2,5,1]=>0110101=>[2,1,2,2,1] [8,6,7,3,4,2,5,1]=>1010101=>[1,2,2,2,1] [7,6,8,3,4,2,5,1]=>1010101=>[1,2,2,2,1] [6,7,8,3,4,2,5,1]=>0010101=>[3,2,2,1] [8,7,6,4,2,3,5,1]=>1111001=>[1,1,1,1,3,1] [8,6,7,4,2,3,5,1]=>1011001=>[1,2,1,3,1] [7,6,8,4,2,3,5,1]=>1011001=>[1,2,1,3,1] [6,7,8,4,2,3,5,1]=>0011001=>[3,1,3,1] [8,7,6,3,2,4,5,1]=>1111001=>[1,1,1,1,3,1] [7,8,6,3,2,4,5,1]=>0111001=>[2,1,1,3,1] [8,6,7,3,2,4,5,1]=>1011001=>[1,2,1,3,1] [6,7,8,3,2,4,5,1]=>0011001=>[3,1,3,1] [8,7,6,2,3,4,5,1]=>1110001=>[1,1,1,4,1] [7,8,6,2,3,4,5,1]=>0110001=>[2,1,4,1] [8,6,7,2,3,4,5,1]=>1010001=>[1,2,4,1] [7,6,8,2,3,4,5,1]=>1010001=>[1,2,4,1] [6,7,8,2,3,4,5,1]=>0010001=>[3,4,1] [8,7,5,4,3,2,6,1]=>1111101=>[1,1,1,1,1,2,1] [7,8,5,4,3,2,6,1]=>0111101=>[2,1,1,1,2,1] [8,7,5,3,4,2,6,1]=>1110101=>[1,1,1,2,2,1] [7,8,5,3,4,2,6,1]=>0110101=>[2,1,2,2,1] [8,7,4,3,5,2,6,1]=>1110101=>[1,1,1,2,2,1] [8,7,5,3,2,4,6,1]=>1111001=>[1,1,1,1,3,1] [8,7,4,3,2,5,6,1]=>1111001=>[1,1,1,1,3,1] [7,8,4,3,2,5,6,1]=>0111001=>[2,1,1,3,1] [7,8,3,4,2,5,6,1]=>0101001=>[2,2,3,1] [7,8,4,2,3,5,6,1]=>0110001=>[2,1,4,1] [7,8,3,2,4,5,6,1]=>0110001=>[2,1,4,1] [8,7,2,3,4,5,6,1]=>1100001=>[1,1,5,1] [7,8,2,3,4,5,6,1]=>0100001=>[2,5,1] [8,6,5,4,3,2,7,1]=>1111101=>[1,1,1,1,1,2,1] [8,5,6,4,3,2,7,1]=>1011101=>[1,2,1,1,2,1] [8,6,4,5,3,2,7,1]=>1101101=>[1,1,2,1,2,1] [8,5,4,6,3,2,7,1]=>1101101=>[1,1,2,1,2,1] [8,6,5,3,4,2,7,1]=>1110101=>[1,1,1,2,2,1] [8,5,6,3,4,2,7,1]=>1010101=>[1,2,2,2,1] [8,6,4,3,5,2,7,1]=>1110101=>[1,1,1,2,2,1] [8,6,3,4,5,2,7,1]=>1100101=>[1,1,3,2,1] [8,5,4,3,6,2,7,1]=>1110101=>[1,1,1,2,2,1] [8,4,5,3,6,2,7,1]=>1010101=>[1,2,2,2,1] [8,4,3,5,6,2,7,1]=>1100101=>[1,1,3,2,1] [8,3,4,5,6,2,7,1]=>1000101=>[1,4,2,1] [8,6,5,4,2,3,7,1]=>1111001=>[1,1,1,1,3,1] [8,5,6,4,2,3,7,1]=>1011001=>[1,2,1,3,1] [8,6,4,5,2,3,7,1]=>1101001=>[1,1,2,3,1] [8,6,5,3,2,4,7,1]=>1111001=>[1,1,1,1,3,1] [8,6,4,3,2,5,7,1]=>1111001=>[1,1,1,1,3,1] [8,6,4,2,3,5,7,1]=>1110001=>[1,1,1,4,1] [8,6,2,3,4,5,7,1]=>1100001=>[1,1,5,1] [8,5,4,3,2,6,7,1]=>1111001=>[1,1,1,1,3,1] [8,4,5,3,2,6,7,1]=>1011001=>[1,2,1,3,1] [8,5,3,4,2,6,7,1]=>1101001=>[1,1,2,3,1] [8,3,4,5,2,6,7,1]=>1001001=>[1,3,3,1] [8,5,4,2,3,6,7,1]=>1110001=>[1,1,1,4,1] [8,4,5,2,3,6,7,1]=>1010001=>[1,2,4,1] [8,5,2,3,4,6,7,1]=>1100001=>[1,1,5,1] [8,4,3,2,5,6,7,1]=>1110001=>[1,1,1,4,1] [8,3,4,2,5,6,7,1]=>1010001=>[1,2,4,1] [8,4,2,3,5,6,7,1]=>1100001=>[1,1,5,1] [8,3,2,4,5,6,7,1]=>1100001=>[1,1,5,1] [8,2,3,4,5,6,7,1]=>1000001=>[1,6,1] [7,6,5,4,3,2,8,1]=>1111101=>[1,1,1,1,1,2,1] [6,7,5,4,3,2,8,1]=>0111101=>[2,1,1,1,2,1] [7,5,6,4,3,2,8,1]=>1011101=>[1,2,1,1,2,1] [6,5,7,4,3,2,8,1]=>1011101=>[1,2,1,1,2,1] [5,6,7,4,3,2,8,1]=>0011101=>[3,1,1,2,1] [7,6,4,5,3,2,8,1]=>1101101=>[1,1,2,1,2,1] [6,7,4,5,3,2,8,1]=>0101101=>[2,2,1,2,1] [7,4,5,6,3,2,8,1]=>1001101=>[1,3,1,2,1] [6,5,4,7,3,2,8,1]=>1101101=>[1,1,2,1,2,1] [6,4,5,7,3,2,8,1]=>1001101=>[1,3,1,2,1] [4,5,6,7,3,2,8,1]=>0001101=>[4,1,2,1] [7,6,5,3,4,2,8,1]=>1110101=>[1,1,1,2,2,1] [7,5,6,3,4,2,8,1]=>1010101=>[1,2,2,2,1] [6,5,7,3,4,2,8,1]=>1010101=>[1,2,2,2,1] [5,6,7,3,4,2,8,1]=>0010101=>[3,2,2,1] [7,6,4,3,5,2,8,1]=>1110101=>[1,1,1,2,2,1] [7,6,3,4,5,2,8,1]=>1100101=>[1,1,3,2,1] [7,5,4,3,6,2,8,1]=>1110101=>[1,1,1,2,2,1] [7,4,5,3,6,2,8,1]=>1010101=>[1,2,2,2,1] [7,5,3,4,6,2,8,1]=>1100101=>[1,1,3,2,1] [7,3,4,5,6,2,8,1]=>1000101=>[1,4,2,1] [6,5,4,3,7,2,8,1]=>1110101=>[1,1,1,2,2,1] [6,4,5,3,7,2,8,1]=>1010101=>[1,2,2,2,1] [5,4,6,3,7,2,8,1]=>1010101=>[1,2,2,2,1] [4,5,6,3,7,2,8,1]=>0010101=>[3,2,2,1] [6,5,3,4,7,2,8,1]=>1100101=>[1,1,3,2,1] [5,6,3,4,7,2,8,1]=>0100101=>[2,3,2,1] [6,4,3,5,7,2,8,1]=>1100101=>[1,1,3,2,1] [6,3,4,5,7,2,8,1]=>1000101=>[1,4,2,1] [5,4,3,6,7,2,8,1]=>1100101=>[1,1,3,2,1] [4,5,3,6,7,2,8,1]=>0100101=>[2,3,2,1] [4,3,5,6,7,2,8,1]=>1000101=>[1,4,2,1] [3,4,5,6,7,2,8,1]=>0000101=>[5,2,1] [7,6,5,4,2,3,8,1]=>1111001=>[1,1,1,1,3,1] [6,7,5,4,2,3,8,1]=>0111001=>[2,1,1,3,1] [7,5,6,4,2,3,8,1]=>1011001=>[1,2,1,3,1] [6,5,7,4,2,3,8,1]=>1011001=>[1,2,1,3,1] [5,6,7,4,2,3,8,1]=>0011001=>[3,1,3,1] [7,6,4,5,2,3,8,1]=>1101001=>[1,1,2,3,1] [6,7,4,5,2,3,8,1]=>0101001=>[2,2,3,1] [7,5,4,6,2,3,8,1]=>1101001=>[1,1,2,3,1] [7,4,5,6,2,3,8,1]=>1001001=>[1,3,3,1] [6,5,4,7,2,3,8,1]=>1101001=>[1,1,2,3,1] [5,6,4,7,2,3,8,1]=>0101001=>[2,2,3,1] [6,4,5,7,2,3,8,1]=>1001001=>[1,3,3,1] [5,4,6,7,2,3,8,1]=>1001001=>[1,3,3,1] [4,5,6,7,2,3,8,1]=>0001001=>[4,3,1] [7,6,5,3,2,4,8,1]=>1111001=>[1,1,1,1,3,1] [6,7,5,3,2,4,8,1]=>0111001=>[2,1,1,3,1] [6,5,7,3,2,4,8,1]=>1011001=>[1,2,1,3,1] [7,6,5,2,3,4,8,1]=>1110001=>[1,1,1,4,1] [7,5,6,2,3,4,8,1]=>1010001=>[1,2,4,1] [5,6,7,2,3,4,8,1]=>0010001=>[3,4,1] [6,7,4,3,2,5,8,1]=>0111001=>[2,1,1,3,1] [7,6,4,2,3,5,8,1]=>1110001=>[1,1,1,4,1] [7,6,3,2,4,5,8,1]=>1110001=>[1,1,1,4,1] [6,7,3,2,4,5,8,1]=>0110001=>[2,1,4,1] [7,6,2,3,4,5,8,1]=>1100001=>[1,1,5,1] [6,7,2,3,4,5,8,1]=>0100001=>[2,5,1] [7,5,4,3,2,6,8,1]=>1111001=>[1,1,1,1,3,1] [7,4,3,5,2,6,8,1]=>1101001=>[1,1,2,3,1] [7,5,4,2,3,6,8,1]=>1110001=>[1,1,1,4,1] [7,4,5,2,3,6,8,1]=>1010001=>[1,2,4,1] [7,5,3,2,4,6,8,1]=>1110001=>[1,1,1,4,1] [7,5,2,3,4,6,8,1]=>1100001=>[1,1,5,1] [7,4,3,2,5,6,8,1]=>1110001=>[1,1,1,4,1] [7,4,2,3,5,6,8,1]=>1100001=>[1,1,5,1] [7,3,2,4,5,6,8,1]=>1100001=>[1,1,5,1] [7,2,3,4,5,6,8,1]=>1000001=>[1,6,1] [6,5,4,3,2,7,8,1]=>1111001=>[1,1,1,1,3,1] [5,4,6,3,2,7,8,1]=>1011001=>[1,2,1,3,1] [4,5,6,3,2,7,8,1]=>0011001=>[3,1,3,1] [6,5,3,4,2,7,8,1]=>1101001=>[1,1,2,3,1] [6,3,4,5,2,7,8,1]=>1001001=>[1,3,3,1] [5,4,3,6,2,7,8,1]=>1101001=>[1,1,2,3,1] [4,3,5,6,2,7,8,1]=>1001001=>[1,3,3,1] [3,4,5,6,2,7,8,1]=>0001001=>[4,3,1] [6,5,4,2,3,7,8,1]=>1110001=>[1,1,1,4,1] [5,6,4,2,3,7,8,1]=>0110001=>[2,1,4,1] [6,4,5,2,3,7,8,1]=>1010001=>[1,2,4,1] [5,4,6,2,3,7,8,1]=>1010001=>[1,2,4,1] [4,5,6,2,3,7,8,1]=>0010001=>[3,4,1] [6,5,3,2,4,7,8,1]=>1110001=>[1,1,1,4,1] [6,5,2,3,4,7,8,1]=>1100001=>[1,1,5,1] [6,2,3,4,5,7,8,1]=>1000001=>[1,6,1] [5,4,3,2,6,7,8,1]=>1110001=>[1,1,1,4,1] [4,5,3,2,6,7,8,1]=>0110001=>[2,1,4,1] [5,3,4,2,6,7,8,1]=>1010001=>[1,2,4,1] [4,3,5,2,6,7,8,1]=>1010001=>[1,2,4,1] [3,4,5,2,6,7,8,1]=>0010001=>[3,4,1] [5,4,2,3,6,7,8,1]=>1100001=>[1,1,5,1] [4,5,2,3,6,7,8,1]=>0100001=>[2,5,1] [5,3,2,4,6,7,8,1]=>1100001=>[1,1,5,1] [5,2,3,4,6,7,8,1]=>1000001=>[1,6,1] [4,3,2,5,6,7,8,1]=>1100001=>[1,1,5,1] [3,4,2,5,6,7,8,1]=>0100001=>[2,5,1] [4,2,3,5,6,7,8,1]=>1000001=>[1,6,1] [3,2,4,5,6,7,8,1]=>1000001=>[1,6,1] [2,3,4,5,6,7,8,1]=>0000001=>[7,1] [8,7,6,5,4,3,1,2]=>1111110=>[1,1,1,1,1,1,2] [7,8,6,5,4,3,1,2]=>0111110=>[2,1,1,1,1,2] [8,6,7,5,4,3,1,2]=>1011110=>[1,2,1,1,1,2] [7,6,8,5,4,3,1,2]=>1011110=>[1,2,1,1,1,2] [6,7,8,5,4,3,1,2]=>0011110=>[3,1,1,1,2] [8,7,5,6,4,3,1,2]=>1101110=>[1,1,2,1,1,2] [7,8,5,6,4,3,1,2]=>0101110=>[2,2,1,1,2] [8,6,5,7,4,3,1,2]=>1101110=>[1,1,2,1,1,2] [7,6,5,8,4,3,1,2]=>1101110=>[1,1,2,1,1,2] [6,7,5,8,4,3,1,2]=>0101110=>[2,2,1,1,2] [7,5,6,8,4,3,1,2]=>1001110=>[1,3,1,1,2] [6,5,7,8,4,3,1,2]=>1001110=>[1,3,1,1,2] [5,6,7,8,4,3,1,2]=>0001110=>[4,1,1,2] [8,7,6,4,5,3,1,2]=>1110110=>[1,1,1,2,1,2] [7,8,6,4,5,3,1,2]=>0110110=>[2,1,2,1,2] [8,6,7,4,5,3,1,2]=>1010110=>[1,2,2,1,2] [6,7,8,4,5,3,1,2]=>0010110=>[3,2,1,2] [8,7,5,4,6,3,1,2]=>1110110=>[1,1,1,2,1,2] [8,5,6,4,7,3,1,2]=>1010110=>[1,2,2,1,2] [8,6,4,5,7,3,1,2]=>1100110=>[1,1,3,1,2] [8,5,4,6,7,3,1,2]=>1100110=>[1,1,3,1,2] [7,6,5,4,8,3,1,2]=>1110110=>[1,1,1,2,1,2] [7,5,6,4,8,3,1,2]=>1010110=>[1,2,2,1,2] [6,5,7,4,8,3,1,2]=>1010110=>[1,2,2,1,2] [7,6,4,5,8,3,1,2]=>1100110=>[1,1,3,1,2] [6,7,4,5,8,3,1,2]=>0100110=>[2,3,1,2] [6,5,4,7,8,3,1,2]=>1100110=>[1,1,3,1,2] [5,6,4,7,8,3,1,2]=>0100110=>[2,3,1,2] [5,4,6,7,8,3,1,2]=>1000110=>[1,4,1,2] [4,5,6,7,8,3,1,2]=>0000110=>[5,1,2] [8,7,6,5,3,4,1,2]=>1111010=>[1,1,1,1,2,2] [7,8,6,5,3,4,1,2]=>0111010=>[2,1,1,2,2] [7,6,8,5,3,4,1,2]=>1011010=>[1,2,1,2,2] [6,7,8,5,3,4,1,2]=>0011010=>[3,1,2,2] [8,7,5,6,3,4,1,2]=>1101010=>[1,1,2,2,2] [7,8,5,6,3,4,1,2]=>0101010=>[2,2,2,2] [8,6,5,7,3,4,1,2]=>1101010=>[1,1,2,2,2] [8,5,6,7,3,4,1,2]=>1001010=>[1,3,2,2] [7,6,5,8,3,4,1,2]=>1101010=>[1,1,2,2,2] [6,7,5,8,3,4,1,2]=>0101010=>[2,2,2,2] [7,5,6,8,3,4,1,2]=>1001010=>[1,3,2,2] [6,5,7,8,3,4,1,2]=>1001010=>[1,3,2,2] [5,6,7,8,3,4,1,2]=>0001010=>[4,2,2] [6,7,8,4,3,5,1,2]=>0011010=>[3,1,2,2] [8,7,6,3,4,5,1,2]=>1110010=>[1,1,1,3,2] [8,6,7,3,4,5,1,2]=>1010010=>[1,2,3,2] [7,8,5,4,3,6,1,2]=>0111010=>[2,1,1,2,2] [8,7,4,5,3,6,1,2]=>1101010=>[1,1,2,2,2] [7,8,4,5,3,6,1,2]=>0101010=>[2,2,2,2] [7,8,5,3,4,6,1,2]=>0110010=>[2,1,3,2] [8,7,4,3,5,6,1,2]=>1110010=>[1,1,1,3,2] [7,8,4,3,5,6,1,2]=>0110010=>[2,1,3,2] [8,7,3,4,5,6,1,2]=>1100010=>[1,1,4,2] [7,8,3,4,5,6,1,2]=>0100010=>[2,4,2] [8,6,5,4,3,7,1,2]=>1111010=>[1,1,1,1,2,2] [8,5,4,3,6,7,1,2]=>1110010=>[1,1,1,3,2] [8,5,3,4,6,7,1,2]=>1100010=>[1,1,4,2] [8,4,3,5,6,7,1,2]=>1100010=>[1,1,4,2] [8,3,4,5,6,7,1,2]=>1000010=>[1,5,2] [7,6,5,4,3,8,1,2]=>1111010=>[1,1,1,1,2,2] [7,5,6,4,3,8,1,2]=>1011010=>[1,2,1,2,2] [6,5,7,4,3,8,1,2]=>1011010=>[1,2,1,2,2] [5,6,7,4,3,8,1,2]=>0011010=>[3,1,2,2] [6,7,4,5,3,8,1,2]=>0101010=>[2,2,2,2] [5,6,4,7,3,8,1,2]=>0101010=>[2,2,2,2] [5,4,6,7,3,8,1,2]=>1001010=>[1,3,2,2] [4,5,6,7,3,8,1,2]=>0001010=>[4,2,2] [7,6,5,3,4,8,1,2]=>1110010=>[1,1,1,3,2] [7,5,6,3,4,8,1,2]=>1010010=>[1,2,3,2] [5,6,7,3,4,8,1,2]=>0010010=>[3,3,2] [7,6,4,3,5,8,1,2]=>1110010=>[1,1,1,3,2] [7,6,3,4,5,8,1,2]=>1100010=>[1,1,4,2] [7,5,4,3,6,8,1,2]=>1110010=>[1,1,1,3,2] [7,5,3,4,6,8,1,2]=>1100010=>[1,1,4,2] [7,3,4,5,6,8,1,2]=>1000010=>[1,5,2] [6,5,4,3,7,8,1,2]=>1110010=>[1,1,1,3,2] [5,6,4,3,7,8,1,2]=>0110010=>[2,1,3,2] [5,4,6,3,7,8,1,2]=>1010010=>[1,2,3,2] [4,5,6,3,7,8,1,2]=>0010010=>[3,3,2] [6,5,3,4,7,8,1,2]=>1100010=>[1,1,4,2] [5,6,3,4,7,8,1,2]=>0100010=>[2,4,2] [6,4,3,5,7,8,1,2]=>1100010=>[1,1,4,2] [6,3,4,5,7,8,1,2]=>1000010=>[1,5,2] [5,4,3,6,7,8,1,2]=>1100010=>[1,1,4,2] [4,5,3,6,7,8,1,2]=>0100010=>[2,4,2] [5,3,4,6,7,8,1,2]=>1000010=>[1,5,2] [4,3,5,6,7,8,1,2]=>1000010=>[1,5,2] [3,4,5,6,7,8,1,2]=>0000010=>[6,2] [8,7,6,5,4,2,1,3]=>1111110=>[1,1,1,1,1,1,2] [7,8,6,5,4,2,1,3]=>0111110=>[2,1,1,1,1,2] [8,6,7,5,4,2,1,3]=>1011110=>[1,2,1,1,1,2] [7,6,8,5,4,2,1,3]=>1011110=>[1,2,1,1,1,2] [6,7,8,5,4,2,1,3]=>0011110=>[3,1,1,1,2] [8,7,5,6,4,2,1,3]=>1101110=>[1,1,2,1,1,2] [7,8,5,6,4,2,1,3]=>0101110=>[2,2,1,1,2] [8,6,5,7,4,2,1,3]=>1101110=>[1,1,2,1,1,2] [7,6,5,8,4,2,1,3]=>1101110=>[1,1,2,1,1,2] [6,7,5,8,4,2,1,3]=>0101110=>[2,2,1,1,2] [7,5,6,8,4,2,1,3]=>1001110=>[1,3,1,1,2] [6,5,7,8,4,2,1,3]=>1001110=>[1,3,1,1,2] [5,6,7,8,4,2,1,3]=>0001110=>[4,1,1,2] [8,7,6,4,5,2,1,3]=>1110110=>[1,1,1,2,1,2] [8,6,7,4,5,2,1,3]=>1010110=>[1,2,2,1,2] [7,6,8,4,5,2,1,3]=>1010110=>[1,2,2,1,2] [8,7,4,5,6,2,1,3]=>1100110=>[1,1,3,1,2] [8,6,5,4,7,2,1,3]=>1110110=>[1,1,1,2,1,2] [8,6,4,5,7,2,1,3]=>1100110=>[1,1,3,1,2] [8,4,5,6,7,2,1,3]=>1000110=>[1,4,1,2] [7,6,5,4,8,2,1,3]=>1110110=>[1,1,1,2,1,2] [6,7,5,4,8,2,1,3]=>0110110=>[2,1,2,1,2] [7,5,6,4,8,2,1,3]=>1010110=>[1,2,2,1,2] [6,5,7,4,8,2,1,3]=>1010110=>[1,2,2,1,2] [5,6,7,4,8,2,1,3]=>0010110=>[3,2,1,2] [7,6,4,5,8,2,1,3]=>1100110=>[1,1,3,1,2] [7,4,5,6,8,2,1,3]=>1000110=>[1,4,1,2] [5,4,6,7,8,2,1,3]=>1000110=>[1,4,1,2] [4,5,6,7,8,2,1,3]=>0000110=>[5,1,2] [8,7,6,5,4,1,2,3]=>1111100=>[1,1,1,1,1,3] [7,8,6,5,4,1,2,3]=>0111100=>[2,1,1,1,3] [7,6,8,5,4,1,2,3]=>1011100=>[1,2,1,1,3] [6,7,8,5,4,1,2,3]=>0011100=>[3,1,1,3] [7,8,5,6,4,1,2,3]=>0101100=>[2,2,1,3] [8,6,5,7,4,1,2,3]=>1101100=>[1,1,2,1,3] [8,5,6,7,4,1,2,3]=>1001100=>[1,3,1,3] [7,6,5,8,4,1,2,3]=>1101100=>[1,1,2,1,3] [6,7,5,8,4,1,2,3]=>0101100=>[2,2,1,3] [7,5,6,8,4,1,2,3]=>1001100=>[1,3,1,3] [6,5,7,8,4,1,2,3]=>1001100=>[1,3,1,3] [5,6,7,8,4,1,2,3]=>0001100=>[4,1,3] [8,7,6,4,5,1,2,3]=>1110100=>[1,1,1,2,3] [8,6,7,4,5,1,2,3]=>1010100=>[1,2,2,3] [6,7,8,4,5,1,2,3]=>0010100=>[3,2,3] [8,7,5,4,6,1,2,3]=>1110100=>[1,1,1,2,3] [7,8,5,4,6,1,2,3]=>0110100=>[2,1,2,3] [8,7,4,5,6,1,2,3]=>1100100=>[1,1,3,3] [7,8,4,5,6,1,2,3]=>0100100=>[2,3,3] [8,5,6,4,7,1,2,3]=>1010100=>[1,2,2,3] [8,6,4,5,7,1,2,3]=>1100100=>[1,1,3,3] [8,5,4,6,7,1,2,3]=>1100100=>[1,1,3,3] [8,4,5,6,7,1,2,3]=>1000100=>[1,4,3] [7,6,5,4,8,1,2,3]=>1110100=>[1,1,1,2,3] [6,7,5,4,8,1,2,3]=>0110100=>[2,1,2,3] [7,5,6,4,8,1,2,3]=>1010100=>[1,2,2,3] [6,5,7,4,8,1,2,3]=>1010100=>[1,2,2,3] [5,6,7,4,8,1,2,3]=>0010100=>[3,2,3] [7,6,4,5,8,1,2,3]=>1100100=>[1,1,3,3] [6,7,4,5,8,1,2,3]=>0100100=>[2,3,3] [7,5,4,6,8,1,2,3]=>1100100=>[1,1,3,3] [7,4,5,6,8,1,2,3]=>1000100=>[1,4,3] [6,5,4,7,8,1,2,3]=>1100100=>[1,1,3,3] [5,6,4,7,8,1,2,3]=>0100100=>[2,3,3] [6,4,5,7,8,1,2,3]=>1000100=>[1,4,3] [5,4,6,7,8,1,2,3]=>1000100=>[1,4,3] [4,5,6,7,8,1,2,3]=>0000100=>[5,3] [8,7,6,5,3,2,1,4]=>1111110=>[1,1,1,1,1,1,2] [7,8,6,5,3,2,1,4]=>0111110=>[2,1,1,1,1,2] [8,6,7,5,3,2,1,4]=>1011110=>[1,2,1,1,1,2] [7,6,8,5,3,2,1,4]=>1011110=>[1,2,1,1,1,2] [6,7,8,5,3,2,1,4]=>0011110=>[3,1,1,1,2] [8,7,5,6,3,2,1,4]=>1101110=>[1,1,2,1,1,2] [7,8,5,6,3,2,1,4]=>0101110=>[2,2,1,1,2] [8,6,5,7,3,2,1,4]=>1101110=>[1,1,2,1,1,2] [8,5,6,7,3,2,1,4]=>1001110=>[1,3,1,1,2] [7,6,5,8,3,2,1,4]=>1101110=>[1,1,2,1,1,2] [6,7,5,8,3,2,1,4]=>0101110=>[2,2,1,1,2] [7,5,6,8,3,2,1,4]=>1001110=>[1,3,1,1,2] [6,5,7,8,3,2,1,4]=>1001110=>[1,3,1,1,2] [5,6,7,8,3,2,1,4]=>0001110=>[4,1,1,2] [8,7,6,5,2,3,1,4]=>1111010=>[1,1,1,1,2,2] [7,8,6,5,2,3,1,4]=>0111010=>[2,1,1,2,2] [8,6,7,5,2,3,1,4]=>1011010=>[1,2,1,2,2] [7,6,8,5,2,3,1,4]=>1011010=>[1,2,1,2,2] [6,7,8,5,2,3,1,4]=>0011010=>[3,1,2,2] [8,7,5,6,2,3,1,4]=>1101010=>[1,1,2,2,2] [7,8,5,6,2,3,1,4]=>0101010=>[2,2,2,2] [8,6,5,7,2,3,1,4]=>1101010=>[1,1,2,2,2] [8,5,6,7,2,3,1,4]=>1001010=>[1,3,2,2] [7,6,5,8,2,3,1,4]=>1101010=>[1,1,2,2,2] [6,7,5,8,2,3,1,4]=>0101010=>[2,2,2,2] [7,5,6,8,2,3,1,4]=>1001010=>[1,3,2,2] [6,5,7,8,2,3,1,4]=>1001010=>[1,3,2,2] [5,6,7,8,2,3,1,4]=>0001010=>[4,2,2] [8,7,6,5,3,1,2,4]=>1111100=>[1,1,1,1,1,3] [7,8,6,5,3,1,2,4]=>0111100=>[2,1,1,1,3] [8,6,7,5,3,1,2,4]=>1011100=>[1,2,1,1,3] [7,6,8,5,3,1,2,4]=>1011100=>[1,2,1,1,3] [8,7,5,6,3,1,2,4]=>1101100=>[1,1,2,1,3] [7,8,5,6,3,1,2,4]=>0101100=>[2,2,1,3] [7,6,5,8,3,1,2,4]=>1101100=>[1,1,2,1,3] [6,7,5,8,3,1,2,4]=>0101100=>[2,2,1,3] [7,5,6,8,3,1,2,4]=>1001100=>[1,3,1,3] [6,5,7,8,3,1,2,4]=>1001100=>[1,3,1,3] [5,6,7,8,3,1,2,4]=>0001100=>[4,1,3] [8,7,6,5,2,1,3,4]=>1111100=>[1,1,1,1,1,3] [7,8,6,5,2,1,3,4]=>0111100=>[2,1,1,1,3] [7,6,8,5,2,1,3,4]=>1011100=>[1,2,1,1,3] [6,7,8,5,2,1,3,4]=>0011100=>[3,1,1,3] [8,7,5,6,2,1,3,4]=>1101100=>[1,1,2,1,3] [7,8,5,6,2,1,3,4]=>0101100=>[2,2,1,3] [8,6,5,7,2,1,3,4]=>1101100=>[1,1,2,1,3] [8,5,6,7,2,1,3,4]=>1001100=>[1,3,1,3] [7,6,5,8,2,1,3,4]=>1101100=>[1,1,2,1,3] [6,7,5,8,2,1,3,4]=>0101100=>[2,2,1,3] [7,5,6,8,2,1,3,4]=>1001100=>[1,3,1,3] [6,5,7,8,2,1,3,4]=>1001100=>[1,3,1,3] [5,6,7,8,2,1,3,4]=>0001100=>[4,1,3] [8,7,6,5,1,2,3,4]=>1111000=>[1,1,1,1,4] [7,8,6,5,1,2,3,4]=>0111000=>[2,1,1,4] [8,6,7,5,1,2,3,4]=>1011000=>[1,2,1,4] [7,6,8,5,1,2,3,4]=>1011000=>[1,2,1,4] [6,7,8,5,1,2,3,4]=>0011000=>[3,1,4] [8,7,5,6,1,2,3,4]=>1101000=>[1,1,2,4] [7,8,5,6,1,2,3,4]=>0101000=>[2,2,4] [8,6,5,7,1,2,3,4]=>1101000=>[1,1,2,4] [8,5,6,7,1,2,3,4]=>1001000=>[1,3,4] [7,6,5,8,1,2,3,4]=>1101000=>[1,1,2,4] [6,7,5,8,1,2,3,4]=>0101000=>[2,2,4] [7,5,6,8,1,2,3,4]=>1001000=>[1,3,4] [6,5,7,8,1,2,3,4]=>1001000=>[1,3,4] [5,6,7,8,1,2,3,4]=>0001000=>[4,4] [8,7,6,4,3,2,1,5]=>1111110=>[1,1,1,1,1,1,2] [7,8,6,4,3,2,1,5]=>0111110=>[2,1,1,1,1,2] [8,6,7,4,3,2,1,5]=>1011110=>[1,2,1,1,1,2] [7,6,8,4,3,2,1,5]=>1011110=>[1,2,1,1,1,2] [6,7,8,4,3,2,1,5]=>0011110=>[3,1,1,1,2] [8,7,6,3,4,2,1,5]=>1110110=>[1,1,1,2,1,2] [7,8,6,3,4,2,1,5]=>0110110=>[2,1,2,1,2] [6,7,8,3,4,2,1,5]=>0010110=>[3,2,1,2] [8,7,6,4,2,3,1,5]=>1111010=>[1,1,1,1,2,2] [8,6,7,4,2,3,1,5]=>1011010=>[1,2,1,2,2] [7,6,8,4,2,3,1,5]=>1011010=>[1,2,1,2,2] [6,7,8,4,2,3,1,5]=>0011010=>[3,1,2,2] [8,7,6,3,2,4,1,5]=>1111010=>[1,1,1,1,2,2] [8,6,7,3,2,4,1,5]=>1011010=>[1,2,1,2,2] [6,7,8,3,2,4,1,5]=>0011010=>[3,1,2,2] [8,7,6,2,3,4,1,5]=>1110010=>[1,1,1,3,2] [8,6,7,2,3,4,1,5]=>1010010=>[1,2,3,2] [7,6,8,2,3,4,1,5]=>1010010=>[1,2,3,2] [6,7,8,2,3,4,1,5]=>0010010=>[3,3,2] [8,7,6,4,3,1,2,5]=>1111100=>[1,1,1,1,1,3] [6,7,8,4,3,1,2,5]=>0011100=>[3,1,1,3] [8,7,6,3,4,1,2,5]=>1110100=>[1,1,1,2,3] [7,8,6,3,4,1,2,5]=>0110100=>[2,1,2,3] [8,6,7,3,4,1,2,5]=>1010100=>[1,2,2,3] [6,7,8,3,4,1,2,5]=>0010100=>[3,2,3] [8,7,6,4,2,1,3,5]=>1111100=>[1,1,1,1,1,3] [7,8,6,4,2,1,3,5]=>0111100=>[2,1,1,1,3] [8,6,7,4,2,1,3,5]=>1011100=>[1,2,1,1,3] [6,7,8,4,2,1,3,5]=>0011100=>[3,1,1,3] [8,7,6,4,1,2,3,5]=>1111000=>[1,1,1,1,4] [7,8,6,4,1,2,3,5]=>0111000=>[2,1,1,4] [7,6,8,4,1,2,3,5]=>1011000=>[1,2,1,4] [6,7,8,4,1,2,3,5]=>0011000=>[3,1,4] [8,7,6,3,2,1,4,5]=>1111100=>[1,1,1,1,1,3] [7,8,6,3,2,1,4,5]=>0111100=>[2,1,1,1,3] [8,6,7,3,2,1,4,5]=>1011100=>[1,2,1,1,3] [7,6,8,3,2,1,4,5]=>1011100=>[1,2,1,1,3] [6,7,8,3,2,1,4,5]=>0011100=>[3,1,1,3] [8,7,6,2,3,1,4,5]=>1110100=>[1,1,1,2,3] [7,8,6,2,3,1,4,5]=>0110100=>[2,1,2,3] [8,6,7,2,3,1,4,5]=>1010100=>[1,2,2,3] [7,6,8,2,3,1,4,5]=>1010100=>[1,2,2,3] [6,7,8,2,3,1,4,5]=>0010100=>[3,2,3] [8,7,6,3,1,2,4,5]=>1111000=>[1,1,1,1,4] [7,8,6,3,1,2,4,5]=>0111000=>[2,1,1,4] [8,6,7,3,1,2,4,5]=>1011000=>[1,2,1,4] [7,6,8,3,1,2,4,5]=>1011000=>[1,2,1,4] [6,7,8,3,1,2,4,5]=>0011000=>[3,1,4] [8,7,6,2,1,3,4,5]=>1111000=>[1,1,1,1,4] [7,8,6,2,1,3,4,5]=>0111000=>[2,1,1,4] [8,6,7,2,1,3,4,5]=>1011000=>[1,2,1,4] [6,7,8,2,1,3,4,5]=>0011000=>[3,1,4] [8,7,6,1,2,3,4,5]=>1110000=>[1,1,1,5] [7,8,6,1,2,3,4,5]=>0110000=>[2,1,5] [8,6,7,1,2,3,4,5]=>1010000=>[1,2,5] [7,6,8,1,2,3,4,5]=>1010000=>[1,2,5] [6,7,8,1,2,3,4,5]=>0010000=>[3,5] [8,7,5,4,3,2,1,6]=>1111110=>[1,1,1,1,1,1,2] [7,8,5,4,3,2,1,6]=>0111110=>[2,1,1,1,1,2] [8,7,4,5,3,2,1,6]=>1101110=>[1,1,2,1,1,2] [7,8,4,5,3,2,1,6]=>0101110=>[2,2,1,1,2] [8,7,5,3,4,2,1,6]=>1110110=>[1,1,1,2,1,2] [8,7,4,3,5,2,1,6]=>1110110=>[1,1,1,2,1,2] [8,7,3,4,5,2,1,6]=>1100110=>[1,1,3,1,2] [7,8,3,4,5,2,1,6]=>0100110=>[2,3,1,2] [8,7,4,5,2,3,1,6]=>1101010=>[1,1,2,2,2] [7,8,4,5,2,3,1,6]=>0101010=>[2,2,2,2] [8,7,5,3,2,4,1,6]=>1111010=>[1,1,1,1,2,2] [7,8,5,2,3,4,1,6]=>0110010=>[2,1,3,2] [8,7,4,3,2,5,1,6]=>1111010=>[1,1,1,1,2,2] [7,8,4,3,2,5,1,6]=>0111010=>[2,1,1,2,2] [8,7,3,4,2,5,1,6]=>1101010=>[1,1,2,2,2] [7,8,3,4,2,5,1,6]=>0101010=>[2,2,2,2] [8,7,2,3,4,5,1,6]=>1100010=>[1,1,4,2] [7,8,2,3,4,5,1,6]=>0100010=>[2,4,2] [8,7,5,4,3,1,2,6]=>1111100=>[1,1,1,1,1,3] [7,8,5,4,3,1,2,6]=>0111100=>[2,1,1,1,3] [8,7,5,3,4,1,2,6]=>1110100=>[1,1,1,2,3] [7,8,5,3,4,1,2,6]=>0110100=>[2,1,2,3] [8,7,3,4,5,1,2,6]=>1100100=>[1,1,3,3] [7,8,3,4,5,1,2,6]=>0100100=>[2,3,3] [7,8,5,4,2,1,3,6]=>0111100=>[2,1,1,1,3] [8,7,5,4,1,2,3,6]=>1111000=>[1,1,1,1,4] [7,8,5,4,1,2,3,6]=>0111000=>[2,1,1,4] [8,7,4,5,1,2,3,6]=>1101000=>[1,1,2,4] [7,8,4,5,1,2,3,6]=>0101000=>[2,2,4] [8,7,5,3,2,1,4,6]=>1111100=>[1,1,1,1,1,3] [7,8,5,3,2,1,4,6]=>0111100=>[2,1,1,1,3] [8,7,5,2,3,1,4,6]=>1110100=>[1,1,1,2,3] [8,7,5,3,1,2,4,6]=>1111000=>[1,1,1,1,4] [7,8,5,3,1,2,4,6]=>0111000=>[2,1,1,4] [8,7,5,2,1,3,4,6]=>1111000=>[1,1,1,1,4] [7,8,5,2,1,3,4,6]=>0111000=>[2,1,1,4] [8,7,5,1,2,3,4,6]=>1110000=>[1,1,1,5] [7,8,5,1,2,3,4,6]=>0110000=>[2,1,5] [8,7,4,3,2,1,5,6]=>1111100=>[1,1,1,1,1,3] [7,8,4,3,2,1,5,6]=>0111100=>[2,1,1,1,3] [8,7,3,4,2,1,5,6]=>1101100=>[1,1,2,1,3] [7,8,3,4,2,1,5,6]=>0101100=>[2,2,1,3] [7,8,4,2,3,1,5,6]=>0110100=>[2,1,2,3] [8,7,3,2,4,1,5,6]=>1110100=>[1,1,1,2,3] [7,8,3,2,4,1,5,6]=>0110100=>[2,1,2,3] [8,7,2,3,4,1,5,6]=>1100100=>[1,1,3,3] [7,8,2,3,4,1,5,6]=>0100100=>[2,3,3] [7,8,4,3,1,2,5,6]=>0111000=>[2,1,1,4] [8,7,3,4,1,2,5,6]=>1101000=>[1,1,2,4] [7,8,3,4,1,2,5,6]=>0101000=>[2,2,4] [8,7,4,2,1,3,5,6]=>1111000=>[1,1,1,1,4] [7,8,4,2,1,3,5,6]=>0111000=>[2,1,1,4] [8,7,4,1,2,3,5,6]=>1110000=>[1,1,1,5] [7,8,4,1,2,3,5,6]=>0110000=>[2,1,5] [8,7,3,2,1,4,5,6]=>1111000=>[1,1,1,1,4] [7,8,3,2,1,4,5,6]=>0111000=>[2,1,1,4] [8,7,2,3,1,4,5,6]=>1101000=>[1,1,2,4] [7,8,2,3,1,4,5,6]=>0101000=>[2,2,4] [7,8,3,1,2,4,5,6]=>0110000=>[2,1,5] [8,7,2,1,3,4,5,6]=>1110000=>[1,1,1,5] [7,8,2,1,3,4,5,6]=>0110000=>[2,1,5] [8,7,1,2,3,4,5,6]=>1100000=>[1,1,6] [7,8,1,2,3,4,5,6]=>0100000=>[2,6] [8,6,5,4,3,2,1,7]=>1111110=>[1,1,1,1,1,1,2] [8,5,6,4,3,2,1,7]=>1011110=>[1,2,1,1,1,2] [8,6,4,5,3,2,1,7]=>1101110=>[1,1,2,1,1,2] [8,5,4,6,3,2,1,7]=>1101110=>[1,1,2,1,1,2] [8,4,5,6,3,2,1,7]=>1001110=>[1,3,1,1,2] [8,6,5,3,4,2,1,7]=>1110110=>[1,1,1,2,1,2] [8,5,6,3,4,2,1,7]=>1010110=>[1,2,2,1,2] [8,6,4,3,5,2,1,7]=>1110110=>[1,1,1,2,1,2] [8,4,5,3,6,2,1,7]=>1010110=>[1,2,2,1,2] [8,4,3,5,6,2,1,7]=>1100110=>[1,1,3,1,2] [8,3,4,5,6,2,1,7]=>1000110=>[1,4,1,2] [8,6,5,4,2,3,1,7]=>1111010=>[1,1,1,1,2,2] [8,5,6,4,2,3,1,7]=>1011010=>[1,2,1,2,2] [8,6,4,5,2,3,1,7]=>1101010=>[1,1,2,2,2] [8,4,5,6,2,3,1,7]=>1001010=>[1,3,2,2] [8,6,5,3,2,4,1,7]=>1111010=>[1,1,1,1,2,2] [8,6,5,2,3,4,1,7]=>1110010=>[1,1,1,3,2] [8,5,6,2,3,4,1,7]=>1010010=>[1,2,3,2] [8,6,4,3,2,5,1,7]=>1111010=>[1,1,1,1,2,2] [8,6,4,2,3,5,1,7]=>1110010=>[1,1,1,3,2] [8,6,3,2,4,5,1,7]=>1110010=>[1,1,1,3,2] [8,5,4,3,2,6,1,7]=>1111010=>[1,1,1,1,2,2] [8,4,3,5,2,6,1,7]=>1101010=>[1,1,2,2,2] [8,5,4,2,3,6,1,7]=>1110010=>[1,1,1,3,2] [8,4,5,2,3,6,1,7]=>1010010=>[1,2,3,2] [8,5,3,2,4,6,1,7]=>1110010=>[1,1,1,3,2] [8,5,2,3,4,6,1,7]=>1100010=>[1,1,4,2] [8,3,4,2,5,6,1,7]=>1010010=>[1,2,3,2] [8,3,2,4,5,6,1,7]=>1100010=>[1,1,4,2] [8,2,3,4,5,6,1,7]=>1000010=>[1,5,2] [8,6,5,4,3,1,2,7]=>1111100=>[1,1,1,1,1,3] [8,6,4,5,3,1,2,7]=>1101100=>[1,1,2,1,3] [8,6,5,3,4,1,2,7]=>1110100=>[1,1,1,2,3] [8,5,6,3,4,1,2,7]=>1010100=>[1,2,2,3] [8,6,3,4,5,1,2,7]=>1100100=>[1,1,3,3] [8,5,4,3,6,1,2,7]=>1110100=>[1,1,1,2,3] [8,4,5,3,6,1,2,7]=>1010100=>[1,2,2,3] [8,5,3,4,6,1,2,7]=>1100100=>[1,1,3,3] [8,4,3,5,6,1,2,7]=>1100100=>[1,1,3,3] [8,3,4,5,6,1,2,7]=>1000100=>[1,4,3] [8,6,5,4,2,1,3,7]=>1111100=>[1,1,1,1,1,3] [8,5,6,4,2,1,3,7]=>1011100=>[1,2,1,1,3] [8,6,4,5,2,1,3,7]=>1101100=>[1,1,2,1,3] [8,4,5,6,2,1,3,7]=>1001100=>[1,3,1,3] [8,6,5,4,1,2,3,7]=>1111000=>[1,1,1,1,4] [8,5,6,4,1,2,3,7]=>1011000=>[1,2,1,4] [8,6,4,5,1,2,3,7]=>1101000=>[1,1,2,4] [8,4,5,6,1,2,3,7]=>1001000=>[1,3,4] [8,6,5,3,2,1,4,7]=>1111100=>[1,1,1,1,1,3] [8,5,6,3,2,1,4,7]=>1011100=>[1,2,1,1,3] [8,6,5,2,3,1,4,7]=>1110100=>[1,1,1,2,3] [8,5,6,2,3,1,4,7]=>1010100=>[1,2,2,3] [8,5,6,3,1,2,4,7]=>1011000=>[1,2,1,4] [8,6,5,2,1,3,4,7]=>1111000=>[1,1,1,1,4] [8,5,6,2,1,3,4,7]=>1011000=>[1,2,1,4] [8,6,5,1,2,3,4,7]=>1110000=>[1,1,1,5] [8,5,6,1,2,3,4,7]=>1010000=>[1,2,5] [8,6,4,3,2,1,5,7]=>1111100=>[1,1,1,1,1,3] [8,6,3,4,2,1,5,7]=>1101100=>[1,1,2,1,3] [8,6,4,2,3,1,5,7]=>1110100=>[1,1,1,2,3] [8,6,3,2,4,1,5,7]=>1110100=>[1,1,1,2,3] [8,6,2,3,4,1,5,7]=>1100100=>[1,1,3,3] [8,6,4,3,1,2,5,7]=>1111000=>[1,1,1,1,4] [8,6,3,4,1,2,5,7]=>1101000=>[1,1,2,4] [8,6,4,2,1,3,5,7]=>1111000=>[1,1,1,1,4] [8,6,4,1,2,3,5,7]=>1110000=>[1,1,1,5] [8,6,1,2,3,4,5,7]=>1100000=>[1,1,6] [8,5,4,3,2,1,6,7]=>1111100=>[1,1,1,1,1,3] [8,4,5,3,2,1,6,7]=>1011100=>[1,2,1,1,3] [8,4,3,5,2,1,6,7]=>1101100=>[1,1,2,1,3] [8,3,4,5,2,1,6,7]=>1001100=>[1,3,1,3] [8,4,5,2,3,1,6,7]=>1010100=>[1,2,2,3] [8,5,2,3,4,1,6,7]=>1100100=>[1,1,3,3] [8,4,2,3,5,1,6,7]=>1100100=>[1,1,3,3] [8,2,3,4,5,1,6,7]=>1000100=>[1,4,3] [8,5,3,4,1,2,6,7]=>1101000=>[1,1,2,4] [8,3,4,5,1,2,6,7]=>1001000=>[1,3,4] [8,5,4,2,1,3,6,7]=>1111000=>[1,1,1,1,4] [8,5,4,1,2,3,6,7]=>1110000=>[1,1,1,5] [8,4,5,1,2,3,6,7]=>1010000=>[1,2,5] [8,5,3,2,1,4,6,7]=>1111000=>[1,1,1,1,4] [8,5,3,1,2,4,6,7]=>1110000=>[1,1,1,5] [8,5,2,1,3,4,6,7]=>1110000=>[1,1,1,5] [8,5,1,2,3,4,6,7]=>1100000=>[1,1,6] [8,4,3,2,1,5,6,7]=>1111000=>[1,1,1,1,4] [8,3,4,2,1,5,6,7]=>1011000=>[1,2,1,4] [8,4,2,3,1,5,6,7]=>1101000=>[1,1,2,4] [8,2,3,4,1,5,6,7]=>1001000=>[1,3,4] [8,3,4,1,2,5,6,7]=>1010000=>[1,2,5] [8,4,2,1,3,5,6,7]=>1110000=>[1,1,1,5] [8,4,1,2,3,5,6,7]=>1100000=>[1,1,6] [8,3,2,1,4,5,6,7]=>1110000=>[1,1,1,5] [8,2,3,1,4,5,6,7]=>1010000=>[1,2,5] [8,3,1,2,4,5,6,7]=>1100000=>[1,1,6] [8,2,1,3,4,5,6,7]=>1100000=>[1,1,6] [8,1,2,3,4,5,6,7]=>1000000=>[1,7] [7,6,5,4,3,2,1,8]=>1111110=>[1,1,1,1,1,1,2] [6,7,5,4,3,2,1,8]=>0111110=>[2,1,1,1,1,2] [7,5,6,4,3,2,1,8]=>1011110=>[1,2,1,1,1,2] [6,5,7,4,3,2,1,8]=>1011110=>[1,2,1,1,1,2] [5,6,7,4,3,2,1,8]=>0011110=>[3,1,1,1,2] [7,6,4,5,3,2,1,8]=>1101110=>[1,1,2,1,1,2] [6,7,4,5,3,2,1,8]=>0101110=>[2,2,1,1,2] [7,5,4,6,3,2,1,8]=>1101110=>[1,1,2,1,1,2] [7,4,5,6,3,2,1,8]=>1001110=>[1,3,1,1,2] [6,5,4,7,3,2,1,8]=>1101110=>[1,1,2,1,1,2] [5,6,4,7,3,2,1,8]=>0101110=>[2,2,1,1,2] [5,4,6,7,3,2,1,8]=>1001110=>[1,3,1,1,2] [4,5,6,7,3,2,1,8]=>0001110=>[4,1,1,2] [7,6,5,3,4,2,1,8]=>1110110=>[1,1,1,2,1,2] [6,7,5,3,4,2,1,8]=>0110110=>[2,1,2,1,2] [7,5,6,3,4,2,1,8]=>1010110=>[1,2,2,1,2] [6,5,7,3,4,2,1,8]=>1010110=>[1,2,2,1,2] [5,6,7,3,4,2,1,8]=>0010110=>[3,2,1,2] [7,6,4,3,5,2,1,8]=>1110110=>[1,1,1,2,1,2] [6,7,4,3,5,2,1,8]=>0110110=>[2,1,2,1,2] [7,6,3,4,5,2,1,8]=>1100110=>[1,1,3,1,2] [7,5,4,3,6,2,1,8]=>1110110=>[1,1,1,2,1,2] [7,4,5,3,6,2,1,8]=>1010110=>[1,2,2,1,2] [7,3,4,5,6,2,1,8]=>1000110=>[1,4,1,2] [6,5,4,3,7,2,1,8]=>1110110=>[1,1,1,2,1,2] [5,6,4,3,7,2,1,8]=>0110110=>[2,1,2,1,2] [5,4,6,3,7,2,1,8]=>1010110=>[1,2,2,1,2] [5,4,3,6,7,2,1,8]=>1100110=>[1,1,3,1,2] [3,4,5,6,7,2,1,8]=>0000110=>[5,1,2] [7,6,5,4,2,3,1,8]=>1111010=>[1,1,1,1,2,2] [6,7,5,4,2,3,1,8]=>0111010=>[2,1,1,2,2] [7,5,6,4,2,3,1,8]=>1011010=>[1,2,1,2,2] [5,6,7,4,2,3,1,8]=>0011010=>[3,1,2,2] [7,6,4,5,2,3,1,8]=>1101010=>[1,1,2,2,2] [6,7,4,5,2,3,1,8]=>0101010=>[2,2,2,2] [7,5,4,6,2,3,1,8]=>1101010=>[1,1,2,2,2] [7,4,5,6,2,3,1,8]=>1001010=>[1,3,2,2] [6,5,4,7,2,3,1,8]=>1101010=>[1,1,2,2,2] [5,6,4,7,2,3,1,8]=>0101010=>[2,2,2,2] [5,4,6,7,2,3,1,8]=>1001010=>[1,3,2,2] [4,5,6,7,2,3,1,8]=>0001010=>[4,2,2] [7,6,5,3,2,4,1,8]=>1111010=>[1,1,1,1,2,2] [6,5,7,3,2,4,1,8]=>1011010=>[1,2,1,2,2] [5,6,7,3,2,4,1,8]=>0011010=>[3,1,2,2] [7,6,5,2,3,4,1,8]=>1110010=>[1,1,1,3,2] [6,7,5,2,3,4,1,8]=>0110010=>[2,1,3,2] [7,5,6,2,3,4,1,8]=>1010010=>[1,2,3,2] [6,5,7,2,3,4,1,8]=>1010010=>[1,2,3,2] [5,6,7,2,3,4,1,8]=>0010010=>[3,3,2] [7,6,4,3,2,5,1,8]=>1111010=>[1,1,1,1,2,2] [6,7,4,3,2,5,1,8]=>0111010=>[2,1,1,2,2] [6,7,3,4,2,5,1,8]=>0101010=>[2,2,2,2] [7,6,4,2,3,5,1,8]=>1110010=>[1,1,1,3,2] [6,7,4,2,3,5,1,8]=>0110010=>[2,1,3,2] [7,6,3,2,4,5,1,8]=>1110010=>[1,1,1,3,2] [6,7,3,2,4,5,1,8]=>0110010=>[2,1,3,2] [7,6,2,3,4,5,1,8]=>1100010=>[1,1,4,2] [6,7,2,3,4,5,1,8]=>0100010=>[2,4,2] [7,5,4,3,2,6,1,8]=>1111010=>[1,1,1,1,2,2] [7,4,5,3,2,6,1,8]=>1011010=>[1,2,1,2,2] [7,5,3,4,2,6,1,8]=>1101010=>[1,1,2,2,2] [7,4,3,5,2,6,1,8]=>1101010=>[1,1,2,2,2] [7,5,4,2,3,6,1,8]=>1110010=>[1,1,1,3,2] [7,4,5,2,3,6,1,8]=>1010010=>[1,2,3,2] [7,5,3,2,4,6,1,8]=>1110010=>[1,1,1,3,2] [7,4,2,3,5,6,1,8]=>1100010=>[1,1,4,2] [7,2,3,4,5,6,1,8]=>1000010=>[1,5,2] [6,5,4,3,2,7,1,8]=>1111010=>[1,1,1,1,2,2] [5,6,4,3,2,7,1,8]=>0111010=>[2,1,1,2,2] [5,4,6,3,2,7,1,8]=>1011010=>[1,2,1,2,2] [5,6,3,4,2,7,1,8]=>0101010=>[2,2,2,2] [6,3,4,5,2,7,1,8]=>1001010=>[1,3,2,2] [5,4,3,6,2,7,1,8]=>1101010=>[1,1,2,2,2] [4,5,3,6,2,7,1,8]=>0101010=>[2,2,2,2] [5,3,4,6,2,7,1,8]=>1001010=>[1,3,2,2] [4,3,5,6,2,7,1,8]=>1001010=>[1,3,2,2] [3,4,5,6,2,7,1,8]=>0001010=>[4,2,2] [5,4,6,2,3,7,1,8]=>1010010=>[1,2,3,2] [6,5,3,2,4,7,1,8]=>1110010=>[1,1,1,3,2] [6,4,2,3,5,7,1,8]=>1100010=>[1,1,4,2] [6,3,2,4,5,7,1,8]=>1100010=>[1,1,4,2] [6,2,3,4,5,7,1,8]=>1000010=>[1,5,2] [5,4,3,2,6,7,1,8]=>1110010=>[1,1,1,3,2] [3,4,5,2,6,7,1,8]=>0010010=>[3,3,2] [5,4,2,3,6,7,1,8]=>1100010=>[1,1,4,2] [4,5,2,3,6,7,1,8]=>0100010=>[2,4,2] [5,2,3,4,6,7,1,8]=>1000010=>[1,5,2] [4,3,2,5,6,7,1,8]=>1100010=>[1,1,4,2] [3,4,2,5,6,7,1,8]=>0100010=>[2,4,2] [4,2,3,5,6,7,1,8]=>1000010=>[1,5,2] [3,2,4,5,6,7,1,8]=>1000010=>[1,5,2] [2,3,4,5,6,7,1,8]=>0000010=>[6,2] [7,6,5,4,3,1,2,8]=>1111100=>[1,1,1,1,1,3] [6,7,5,4,3,1,2,8]=>0111100=>[2,1,1,1,3] [7,5,6,4,3,1,2,8]=>1011100=>[1,2,1,1,3] [7,6,4,5,3,1,2,8]=>1101100=>[1,1,2,1,3] [7,4,5,6,3,1,2,8]=>1001100=>[1,3,1,3] [5,4,6,7,3,1,2,8]=>1001100=>[1,3,1,3] [4,5,6,7,3,1,2,8]=>0001100=>[4,1,3] [7,6,5,3,4,1,2,8]=>1110100=>[1,1,1,2,3] [7,5,6,3,4,1,2,8]=>1010100=>[1,2,2,3] [6,7,3,4,5,1,2,8]=>0100100=>[2,3,3] [7,5,3,4,6,1,2,8]=>1100100=>[1,1,3,3] [6,5,4,3,7,1,2,8]=>1110100=>[1,1,1,2,3] [5,6,3,4,7,1,2,8]=>0100100=>[2,3,3] [6,4,3,5,7,1,2,8]=>1100100=>[1,1,3,3] [6,3,4,5,7,1,2,8]=>1000100=>[1,4,3] [4,3,5,6,7,1,2,8]=>1000100=>[1,4,3] [3,4,5,6,7,1,2,8]=>0000100=>[5,3] [7,6,5,4,2,1,3,8]=>1111100=>[1,1,1,1,1,3] [6,5,7,4,2,1,3,8]=>1011100=>[1,2,1,1,3] [7,6,4,5,2,1,3,8]=>1101100=>[1,1,2,1,3] [7,5,4,6,2,1,3,8]=>1101100=>[1,1,2,1,3] [7,4,5,6,2,1,3,8]=>1001100=>[1,3,1,3] [5,4,6,7,2,1,3,8]=>1001100=>[1,3,1,3] [4,5,6,7,2,1,3,8]=>0001100=>[4,1,3] [7,6,5,4,1,2,3,8]=>1111000=>[1,1,1,1,4] [7,5,6,4,1,2,3,8]=>1011000=>[1,2,1,4] [5,6,7,4,1,2,3,8]=>0011000=>[3,1,4] [7,6,4,5,1,2,3,8]=>1101000=>[1,1,2,4] [7,5,4,6,1,2,3,8]=>1101000=>[1,1,2,4] [7,4,5,6,1,2,3,8]=>1001000=>[1,3,4] [5,4,6,7,1,2,3,8]=>1001000=>[1,3,4] [4,5,6,7,1,2,3,8]=>0001000=>[4,4] [7,6,5,3,2,1,4,8]=>1111100=>[1,1,1,1,1,3] [7,6,5,2,3,1,4,8]=>1110100=>[1,1,1,2,3] [6,7,5,2,3,1,4,8]=>0110100=>[2,1,2,3] [7,5,6,2,3,1,4,8]=>1010100=>[1,2,2,3] [6,5,7,2,3,1,4,8]=>1010100=>[1,2,2,3] [5,6,7,2,3,1,4,8]=>0010100=>[3,2,3] [7,5,6,3,1,2,4,8]=>1011000=>[1,2,1,4] [7,6,5,2,1,3,4,8]=>1111000=>[1,1,1,1,4] [6,7,5,2,1,3,4,8]=>0111000=>[2,1,1,4] [7,5,6,2,1,3,4,8]=>1011000=>[1,2,1,4] [5,6,7,2,1,3,4,8]=>0011000=>[3,1,4] [7,6,5,1,2,3,4,8]=>1110000=>[1,1,1,5] [6,7,5,1,2,3,4,8]=>0110000=>[2,1,5] [7,5,6,1,2,3,4,8]=>1010000=>[1,2,5] [6,5,7,1,2,3,4,8]=>1010000=>[1,2,5] [5,6,7,1,2,3,4,8]=>0010000=>[3,5] [7,6,4,3,2,1,5,8]=>1111100=>[1,1,1,1,1,3] [6,7,4,3,2,1,5,8]=>0111100=>[2,1,1,1,3] [7,6,3,4,2,1,5,8]=>1101100=>[1,1,2,1,3] [7,6,3,2,4,1,5,8]=>1110100=>[1,1,1,2,3] [6,7,3,2,4,1,5,8]=>0110100=>[2,1,2,3] [7,6,2,3,4,1,5,8]=>1100100=>[1,1,3,3] [6,7,2,3,4,1,5,8]=>0100100=>[2,3,3] [7,6,4,3,1,2,5,8]=>1111000=>[1,1,1,1,4] [6,7,3,4,1,2,5,8]=>0101000=>[2,2,4] [7,6,4,2,1,3,5,8]=>1111000=>[1,1,1,1,4] [7,6,3,2,1,4,5,8]=>1111000=>[1,1,1,1,4] [6,7,3,2,1,4,5,8]=>0111000=>[2,1,1,4] [7,6,2,3,1,4,5,8]=>1101000=>[1,1,2,4] [6,7,2,3,1,4,5,8]=>0101000=>[2,2,4] [6,7,3,1,2,4,5,8]=>0110000=>[2,1,5] [7,6,1,2,3,4,5,8]=>1100000=>[1,1,6] [6,7,1,2,3,4,5,8]=>0100000=>[2,6] [7,5,4,3,2,1,6,8]=>1111100=>[1,1,1,1,1,3] [7,4,5,3,2,1,6,8]=>1011100=>[1,2,1,1,3] [7,4,3,5,2,1,6,8]=>1101100=>[1,1,2,1,3] [7,3,4,5,2,1,6,8]=>1001100=>[1,3,1,3] [7,5,4,2,3,1,6,8]=>1110100=>[1,1,1,2,3] [7,5,3,2,4,1,6,8]=>1110100=>[1,1,1,2,3] [7,5,2,3,4,1,6,8]=>1100100=>[1,1,3,3] [7,4,2,3,5,1,6,8]=>1100100=>[1,1,3,3] [7,2,3,4,5,1,6,8]=>1000100=>[1,4,3] [7,5,4,3,1,2,6,8]=>1111000=>[1,1,1,1,4] [7,5,3,4,1,2,6,8]=>1101000=>[1,1,2,4] [7,4,5,2,1,3,6,8]=>1011000=>[1,2,1,4] [7,4,5,1,2,3,6,8]=>1010000=>[1,2,5] [7,5,3,2,1,4,6,8]=>1111000=>[1,1,1,1,4] [7,5,2,3,1,4,6,8]=>1101000=>[1,1,2,4] [7,5,3,1,2,4,6,8]=>1110000=>[1,1,1,5] [7,5,1,2,3,4,6,8]=>1100000=>[1,1,6] [7,4,3,2,1,5,6,8]=>1111000=>[1,1,1,1,4] [7,2,3,4,1,5,6,8]=>1001000=>[1,3,4] [7,4,3,1,2,5,6,8]=>1110000=>[1,1,1,5] [7,3,4,1,2,5,6,8]=>1010000=>[1,2,5] [7,4,1,2,3,5,6,8]=>1100000=>[1,1,6] [7,3,2,1,4,5,6,8]=>1110000=>[1,1,1,5] [7,2,3,1,4,5,6,8]=>1010000=>[1,2,5] [7,3,1,2,4,5,6,8]=>1100000=>[1,1,6] [7,2,1,3,4,5,6,8]=>1100000=>[1,1,6] [7,1,2,3,4,5,6,8]=>1000000=>[1,7] [6,5,4,3,2,1,7,8]=>1111100=>[1,1,1,1,1,3] [5,6,4,3,2,1,7,8]=>0111100=>[2,1,1,1,3] [5,4,6,3,2,1,7,8]=>1011100=>[1,2,1,1,3] [4,5,6,3,2,1,7,8]=>0011100=>[3,1,1,3] [6,5,3,4,2,1,7,8]=>1101100=>[1,1,2,1,3] [5,6,3,4,2,1,7,8]=>0101100=>[2,2,1,3] [5,4,3,6,2,1,7,8]=>1101100=>[1,1,2,1,3] [3,4,5,6,2,1,7,8]=>0001100=>[4,1,3] [5,4,6,2,3,1,7,8]=>1010100=>[1,2,2,3] [5,6,3,2,4,1,7,8]=>0110100=>[2,1,2,3] [6,5,2,3,4,1,7,8]=>1100100=>[1,1,3,3] [5,6,2,3,4,1,7,8]=>0100100=>[2,3,3] [6,4,3,2,5,1,7,8]=>1110100=>[1,1,1,2,3] [6,2,3,4,5,1,7,8]=>1000100=>[1,4,3] [5,4,3,2,6,1,7,8]=>1110100=>[1,1,1,2,3] [4,5,3,2,6,1,7,8]=>0110100=>[2,1,2,3] [4,3,5,2,6,1,7,8]=>1010100=>[1,2,2,3] [3,4,5,2,6,1,7,8]=>0010100=>[3,2,3] [5,3,2,4,6,1,7,8]=>1100100=>[1,1,3,3] [5,2,3,4,6,1,7,8]=>1000100=>[1,4,3] [4,3,2,5,6,1,7,8]=>1100100=>[1,1,3,3] [3,4,2,5,6,1,7,8]=>0100100=>[2,3,3] [4,2,3,5,6,1,7,8]=>1000100=>[1,4,3] [3,2,4,5,6,1,7,8]=>1000100=>[1,4,3] [2,3,4,5,6,1,7,8]=>0000100=>[5,3] [6,5,4,3,1,2,7,8]=>1111000=>[1,1,1,1,4] [6,4,5,3,1,2,7,8]=>1011000=>[1,2,1,4] [5,4,6,3,1,2,7,8]=>1011000=>[1,2,1,4] [5,6,3,4,1,2,7,8]=>0101000=>[2,2,4] [5,4,3,6,1,2,7,8]=>1101000=>[1,1,2,4] [4,3,5,6,1,2,7,8]=>1001000=>[1,3,4] [3,4,5,6,1,2,7,8]=>0001000=>[4,4] [6,5,4,2,1,3,7,8]=>1111000=>[1,1,1,1,4] [5,6,4,2,1,3,7,8]=>0111000=>[2,1,1,4] [6,4,5,2,1,3,7,8]=>1011000=>[1,2,1,4] [4,5,6,2,1,3,7,8]=>0011000=>[3,1,4] [6,5,4,1,2,3,7,8]=>1110000=>[1,1,1,5] [4,5,6,1,2,3,7,8]=>0010000=>[3,5] [6,5,3,2,1,4,7,8]=>1111000=>[1,1,1,1,4] [5,6,3,2,1,4,7,8]=>0111000=>[2,1,1,4] [5,6,2,1,3,4,7,8]=>0110000=>[2,1,5] [6,4,3,2,1,5,7,8]=>1111000=>[1,1,1,1,4] [6,3,4,2,1,5,7,8]=>1011000=>[1,2,1,4] [6,4,3,1,2,5,7,8]=>1110000=>[1,1,1,5] [6,4,2,1,3,5,7,8]=>1110000=>[1,1,1,5] [6,4,1,2,3,5,7,8]=>1100000=>[1,1,6] [6,3,2,1,4,5,7,8]=>1110000=>[1,1,1,5] [6,2,3,1,4,5,7,8]=>1010000=>[1,2,5] [6,3,1,2,4,5,7,8]=>1100000=>[1,1,6] [6,2,1,3,4,5,7,8]=>1100000=>[1,1,6] [6,1,2,3,4,5,7,8]=>1000000=>[1,7] [5,4,3,2,1,6,7,8]=>1111000=>[1,1,1,1,4] [4,5,3,2,1,6,7,8]=>0111000=>[2,1,1,4] [5,3,4,2,1,6,7,8]=>1011000=>[1,2,1,4] [4,3,5,2,1,6,7,8]=>1011000=>[1,2,1,4] [3,4,5,2,1,6,7,8]=>0011000=>[3,1,4] [5,4,2,3,1,6,7,8]=>1101000=>[1,1,2,4] [4,5,2,3,1,6,7,8]=>0101000=>[2,2,4] [5,3,2,4,1,6,7,8]=>1101000=>[1,1,2,4] [5,2,3,4,1,6,7,8]=>1001000=>[1,3,4] [4,3,2,5,1,6,7,8]=>1101000=>[1,1,2,4] [3,4,2,5,1,6,7,8]=>0101000=>[2,2,4] [4,2,3,5,1,6,7,8]=>1001000=>[1,3,4] [3,2,4,5,1,6,7,8]=>1001000=>[1,3,4] [2,3,4,5,1,6,7,8]=>0001000=>[4,4] [5,4,3,1,2,6,7,8]=>1110000=>[1,1,1,5] [5,3,4,1,2,6,7,8]=>1010000=>[1,2,5] [4,3,5,1,2,6,7,8]=>1010000=>[1,2,5] [3,4,5,1,2,6,7,8]=>0010000=>[3,5] [5,4,2,1,3,6,7,8]=>1110000=>[1,1,1,5] [4,5,2,1,3,6,7,8]=>0110000=>[2,1,5] [5,4,1,2,3,6,7,8]=>1100000=>[1,1,6] [4,5,1,2,3,6,7,8]=>0100000=>[2,6] [5,3,2,1,4,6,7,8]=>1110000=>[1,1,1,5] [5,2,3,1,4,6,7,8]=>1010000=>[1,2,5] [5,3,1,2,4,6,7,8]=>1100000=>[1,1,6] [5,2,1,3,4,6,7,8]=>1100000=>[1,1,6] [5,1,2,3,4,6,7,8]=>1000000=>[1,7] [4,3,2,1,5,6,7,8]=>1110000=>[1,1,1,5] [3,4,2,1,5,6,7,8]=>0110000=>[2,1,5] [4,2,3,1,5,6,7,8]=>1010000=>[1,2,5] [3,2,4,1,5,6,7,8]=>1010000=>[1,2,5] [2,3,4,1,5,6,7,8]=>0010000=>[3,5] [4,3,1,2,5,6,7,8]=>1100000=>[1,1,6] [3,4,1,2,5,6,7,8]=>0100000=>[2,6] [4,2,1,3,5,6,7,8]=>1100000=>[1,1,6] [4,1,2,3,5,6,7,8]=>1000000=>[1,7] [3,2,1,4,5,6,7,8]=>1100000=>[1,1,6] [2,3,1,4,5,6,7,8]=>0100000=>[2,6] [3,1,2,4,5,6,7,8]=>1000000=>[1,7] [2,1,3,4,5,6,7,8]=>1000000=>[1,7] [1,2,3,4,5,6,7,8]=>0000000=>[8] [6,8,7,5,4,3,2,1]=>0111111=>[2,1,1,1,1,1,1] [5,8,7,6,4,3,2,1]=>0111111=>[2,1,1,1,1,1,1] [5,7,8,6,4,3,2,1]=>0011111=>[3,1,1,1,1,1] [6,5,8,7,4,3,2,1]=>1011111=>[1,2,1,1,1,1,1] [5,6,8,7,4,3,2,1]=>0011111=>[3,1,1,1,1,1] [5,7,6,8,4,3,2,1]=>0101111=>[2,2,1,1,1,1] [4,8,7,6,5,3,2,1]=>0111111=>[2,1,1,1,1,1,1] [4,7,8,6,5,3,2,1]=>0011111=>[3,1,1,1,1,1] [4,6,8,7,5,3,2,1]=>0011111=>[3,1,1,1,1,1] [4,7,6,8,5,3,2,1]=>0101111=>[2,2,1,1,1,1] [4,6,7,8,5,3,2,1]=>0001111=>[4,1,1,1,1] [5,4,7,8,6,3,2,1]=>1001111=>[1,3,1,1,1,1] [4,5,8,7,6,3,2,1]=>0011111=>[3,1,1,1,1,1] [4,5,7,8,6,3,2,1]=>0001111=>[4,1,1,1,1] [6,5,4,8,7,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [5,6,4,8,7,3,2,1]=>0101111=>[2,2,1,1,1,1] [4,6,5,8,7,3,2,1]=>0101111=>[2,2,1,1,1,1] [4,5,6,8,7,3,2,1]=>0001111=>[4,1,1,1,1] [5,7,6,4,8,3,2,1]=>0110111=>[2,1,2,1,1,1] [4,7,6,5,8,3,2,1]=>0110111=>[2,1,2,1,1,1] [4,6,7,5,8,3,2,1]=>0010111=>[3,2,1,1,1] [5,4,7,6,8,3,2,1]=>1010111=>[1,2,2,1,1,1] [4,5,7,6,8,3,2,1]=>0010111=>[3,2,1,1,1] [4,6,5,7,8,3,2,1]=>0100111=>[2,3,1,1,1] [3,8,7,6,5,4,2,1]=>0111111=>[2,1,1,1,1,1,1] [3,7,8,6,5,4,2,1]=>0011111=>[3,1,1,1,1,1] [3,6,8,7,5,4,2,1]=>0011111=>[3,1,1,1,1,1] [3,7,6,8,5,4,2,1]=>0101111=>[2,2,1,1,1,1] [3,5,8,7,6,4,2,1]=>0011111=>[3,1,1,1,1,1] [3,5,7,8,6,4,2,1]=>0001111=>[4,1,1,1,1] [3,5,6,8,7,4,2,1]=>0001111=>[4,1,1,1,1] [3,7,6,5,8,4,2,1]=>0110111=>[2,1,2,1,1,1] [3,6,7,5,8,4,2,1]=>0010111=>[3,2,1,1,1] [3,5,7,6,8,4,2,1]=>0010111=>[3,2,1,1,1] [3,5,6,7,8,4,2,1]=>0000111=>[5,1,1,1] [4,3,8,7,6,5,2,1]=>1011111=>[1,2,1,1,1,1,1] [4,3,7,8,6,5,2,1]=>1001111=>[1,3,1,1,1,1] [4,3,6,7,8,5,2,1]=>1000111=>[1,4,1,1,1] [3,4,8,7,6,5,2,1]=>0011111=>[3,1,1,1,1,1] [3,4,6,7,8,5,2,1]=>0000111=>[5,1,1,1] [5,4,3,8,7,6,2,1]=>1101111=>[1,1,2,1,1,1,1] [5,4,3,7,8,6,2,1]=>1100111=>[1,1,3,1,1,1] [3,5,4,7,8,6,2,1]=>0100111=>[2,3,1,1,1] [3,4,5,8,7,6,2,1]=>0001111=>[4,1,1,1,1] [3,4,5,7,8,6,2,1]=>0000111=>[5,1,1,1] [6,5,4,3,8,7,2,1]=>1110111=>[1,1,1,2,1,1,1] [5,6,4,3,8,7,2,1]=>0110111=>[2,1,2,1,1,1] [4,5,6,3,8,7,2,1]=>0010111=>[3,2,1,1,1] [4,3,6,5,8,7,2,1]=>1010111=>[1,2,2,1,1,1] [5,4,3,6,8,7,2,1]=>1100111=>[1,1,3,1,1,1] [4,5,3,6,8,7,2,1]=>0100111=>[2,3,1,1,1] [3,4,5,6,8,7,2,1]=>0000111=>[5,1,1,1] [5,7,6,4,3,8,2,1]=>0111011=>[2,1,1,2,1,1] [4,7,6,5,3,8,2,1]=>0111011=>[2,1,1,2,1,1] [5,4,7,6,3,8,2,1]=>1011011=>[1,2,1,2,1,1] [3,7,6,5,4,8,2,1]=>0111011=>[2,1,1,2,1,1] [3,5,7,6,4,8,2,1]=>0011011=>[3,1,2,1,1] [3,5,6,7,4,8,2,1]=>0001011=>[4,2,1,1] [4,3,7,6,5,8,2,1]=>1011011=>[1,2,1,2,1,1] [3,4,7,6,5,8,2,1]=>0011011=>[3,1,2,1,1] [3,4,6,7,5,8,2,1]=>0001011=>[4,2,1,1] [4,5,3,7,6,8,2,1]=>0101011=>[2,2,2,1,1] [3,5,4,7,6,8,2,1]=>0101011=>[2,2,2,1,1] [4,3,5,7,6,8,2,1]=>1001011=>[1,3,2,1,1] [3,4,5,7,6,8,2,1]=>0001011=>[4,2,1,1] [3,6,5,4,7,8,2,1]=>0110011=>[2,1,3,1,1] [3,5,6,4,7,8,2,1]=>0010011=>[3,3,1,1] [4,3,6,5,7,8,2,1]=>1010011=>[1,2,3,1,1] [3,4,6,5,7,8,2,1]=>0010011=>[3,3,1,1] [3,5,4,6,7,8,2,1]=>0100011=>[2,4,1,1] [2,8,7,6,5,4,3,1]=>0111111=>[2,1,1,1,1,1,1] [2,7,8,6,5,4,3,1]=>0011111=>[3,1,1,1,1,1] [2,6,8,7,5,4,3,1]=>0011111=>[3,1,1,1,1,1] [2,7,6,8,5,4,3,1]=>0101111=>[2,2,1,1,1,1] [2,6,7,8,5,4,3,1]=>0001111=>[4,1,1,1,1] [2,5,8,7,6,4,3,1]=>0011111=>[3,1,1,1,1,1] [2,6,7,5,8,4,3,1]=>0010111=>[3,2,1,1,1] [2,6,5,7,8,4,3,1]=>0100111=>[2,3,1,1,1] [2,5,6,7,8,4,3,1]=>0000111=>[5,1,1,1] [2,4,8,7,6,5,3,1]=>0011111=>[3,1,1,1,1,1] [2,4,7,8,6,5,3,1]=>0001111=>[4,1,1,1,1] [2,4,6,8,7,5,3,1]=>0001111=>[4,1,1,1,1] [2,4,6,7,8,5,3,1]=>0000111=>[5,1,1,1] [2,5,4,8,7,6,3,1]=>0101111=>[2,2,1,1,1,1] [2,5,4,7,8,6,3,1]=>0100111=>[2,3,1,1,1] [2,4,5,7,8,6,3,1]=>0000111=>[5,1,1,1] [2,6,5,4,8,7,3,1]=>0110111=>[2,1,2,1,1,1] [2,5,6,4,8,7,3,1]=>0010111=>[3,2,1,1,1] [2,4,6,5,8,7,3,1]=>0010111=>[3,2,1,1,1] [2,4,5,6,8,7,3,1]=>0000111=>[5,1,1,1] [2,7,6,5,4,8,3,1]=>0111011=>[2,1,1,2,1,1] [2,6,7,5,4,8,3,1]=>0011011=>[3,1,2,1,1] [2,5,6,7,4,8,3,1]=>0001011=>[4,2,1,1] [2,4,7,6,5,8,3,1]=>0011011=>[3,1,2,1,1] [2,4,6,7,5,8,3,1]=>0001011=>[4,2,1,1] [2,5,4,7,6,8,3,1]=>0101011=>[2,2,2,1,1] [2,6,5,4,7,8,3,1]=>0110011=>[2,1,3,1,1] [2,5,6,4,7,8,3,1]=>0010011=>[3,3,1,1] [2,4,6,5,7,8,3,1]=>0010011=>[3,3,1,1] [2,5,4,6,7,8,3,1]=>0100011=>[2,4,1,1] [2,4,5,6,7,8,3,1]=>0000011=>[6,1,1] [3,2,8,7,6,5,4,1]=>1011111=>[1,2,1,1,1,1,1] [3,2,6,8,7,5,4,1]=>1001111=>[1,3,1,1,1,1] [3,2,5,7,8,6,4,1]=>1000111=>[1,4,1,1,1] [3,2,6,5,8,7,4,1]=>1010111=>[1,2,2,1,1,1] [3,2,5,7,6,8,4,1]=>1001011=>[1,3,2,1,1] [3,2,5,6,7,8,4,1]=>1000011=>[1,5,1,1] [2,3,8,7,6,5,4,1]=>0011111=>[3,1,1,1,1,1] [2,3,6,7,8,5,4,1]=>0000111=>[5,1,1,1] [2,3,5,7,8,6,4,1]=>0000111=>[5,1,1,1] [2,3,6,5,8,7,4,1]=>0010111=>[3,2,1,1,1] [2,3,5,6,8,7,4,1]=>0000111=>[5,1,1,1] [2,3,7,6,5,8,4,1]=>0011011=>[3,1,2,1,1] [2,3,5,7,6,8,4,1]=>0001011=>[4,2,1,1] [2,3,5,6,7,8,4,1]=>0000011=>[6,1,1] [4,3,2,8,7,6,5,1]=>1101111=>[1,1,2,1,1,1,1] [4,3,2,7,8,6,5,1]=>1100111=>[1,1,3,1,1,1] [3,4,2,8,7,6,5,1]=>0101111=>[2,2,1,1,1,1] [3,4,2,7,8,6,5,1]=>0100111=>[2,3,1,1,1] [2,4,3,8,7,6,5,1]=>0101111=>[2,2,1,1,1,1] [2,4,3,6,8,7,5,1]=>0100111=>[2,3,1,1,1] [2,4,3,6,7,8,5,1]=>0100011=>[2,4,1,1] [3,2,4,8,7,6,5,1]=>1001111=>[1,3,1,1,1,1] [3,2,4,7,8,6,5,1]=>1000111=>[1,4,1,1,1] [2,3,4,8,7,6,5,1]=>0001111=>[4,1,1,1,1] [2,3,4,7,8,6,5,1]=>0000111=>[5,1,1,1] [2,3,4,6,8,7,5,1]=>0000111=>[5,1,1,1] [2,3,4,7,6,8,5,1]=>0001011=>[4,2,1,1] [2,3,4,6,7,8,5,1]=>0000011=>[6,1,1] [5,4,3,2,8,7,6,1]=>1110111=>[1,1,1,2,1,1,1] [5,4,3,2,7,8,6,1]=>1110011=>[1,1,1,3,1,1] [3,5,4,2,7,8,6,1]=>0110011=>[2,1,3,1,1] [3,4,5,2,7,8,6,1]=>0010011=>[3,3,1,1] [2,5,4,3,8,7,6,1]=>0110111=>[2,1,2,1,1,1] [2,5,4,3,7,8,6,1]=>0110011=>[2,1,3,1,1] [2,4,5,3,8,7,6,1]=>0010111=>[3,2,1,1,1] [2,4,5,3,7,8,6,1]=>0010011=>[3,3,1,1] [3,2,5,4,7,8,6,1]=>1010011=>[1,2,3,1,1] [2,3,5,4,8,7,6,1]=>0010111=>[3,2,1,1,1] [2,3,5,4,7,8,6,1]=>0010011=>[3,3,1,1] [4,3,2,5,8,7,6,1]=>1100111=>[1,1,3,1,1,1] [4,3,2,5,7,8,6,1]=>1100011=>[1,1,4,1,1] [3,4,2,5,8,7,6,1]=>0100111=>[2,3,1,1,1] [3,4,2,5,7,8,6,1]=>0100011=>[2,4,1,1] [2,4,3,5,8,7,6,1]=>0100111=>[2,3,1,1,1] [3,2,4,5,7,8,6,1]=>1000011=>[1,5,1,1] [2,3,4,5,8,7,6,1]=>0000111=>[5,1,1,1] [2,3,4,5,7,8,6,1]=>0000011=>[6,1,1] [6,5,4,3,2,8,7,1]=>1111011=>[1,1,1,1,2,1,1] [4,6,5,3,2,8,7,1]=>0111011=>[2,1,1,2,1,1] [5,4,6,3,2,8,7,1]=>1011011=>[1,2,1,2,1,1] [4,5,6,3,2,8,7,1]=>0011011=>[3,1,2,1,1] [3,6,5,4,2,8,7,1]=>0111011=>[2,1,1,2,1,1] [3,5,6,4,2,8,7,1]=>0011011=>[3,1,2,1,1] [4,3,6,5,2,8,7,1]=>1011011=>[1,2,1,2,1,1] [5,4,3,6,2,8,7,1]=>1101011=>[1,1,2,2,1,1] [4,5,3,6,2,8,7,1]=>0101011=>[2,2,2,1,1] [3,5,4,6,2,8,7,1]=>0101011=>[2,2,2,1,1] [3,4,5,6,2,8,7,1]=>0001011=>[4,2,1,1] [2,6,5,4,3,8,7,1]=>0111011=>[2,1,1,2,1,1] [2,4,6,5,3,8,7,1]=>0011011=>[3,1,2,1,1] [2,4,5,6,3,8,7,1]=>0001011=>[4,2,1,1] [3,2,6,5,4,8,7,1]=>1011011=>[1,2,1,2,1,1] [2,3,5,6,4,8,7,1]=>0001011=>[4,2,1,1] [4,3,2,6,5,8,7,1]=>1101011=>[1,1,2,2,1,1] [2,4,3,6,5,8,7,1]=>0101011=>[2,2,2,1,1] [3,2,4,6,5,8,7,1]=>1001011=>[1,3,2,1,1] [2,3,4,6,5,8,7,1]=>0001011=>[4,2,1,1] [5,4,3,2,6,8,7,1]=>1110011=>[1,1,1,3,1,1] [4,5,3,2,6,8,7,1]=>0110011=>[2,1,3,1,1] [2,5,4,3,6,8,7,1]=>0110011=>[2,1,3,1,1] [2,4,5,3,6,8,7,1]=>0010011=>[3,3,1,1] [3,2,5,4,6,8,7,1]=>1010011=>[1,2,3,1,1] [4,3,2,5,6,8,7,1]=>1100011=>[1,1,4,1,1] [3,4,2,5,6,8,7,1]=>0100011=>[2,4,1,1] [2,4,3,5,6,8,7,1]=>0100011=>[2,4,1,1] [3,2,4,5,6,8,7,1]=>1000011=>[1,5,1,1] [2,3,4,5,6,8,7,1]=>0000011=>[6,1,1] [5,7,6,4,3,2,8,1]=>0111101=>[2,1,1,1,2,1] [4,7,6,5,3,2,8,1]=>0111101=>[2,1,1,1,2,1] [4,6,7,5,3,2,8,1]=>0011101=>[3,1,1,2,1] [4,6,5,7,3,2,8,1]=>0101101=>[2,2,1,2,1] [3,5,7,6,4,2,8,1]=>0011101=>[3,1,1,2,1] [3,5,6,7,4,2,8,1]=>0001101=>[4,1,2,1] [4,3,7,6,5,2,8,1]=>1011101=>[1,2,1,1,2,1] [4,3,6,7,5,2,8,1]=>1001101=>[1,3,1,2,1] [3,4,7,6,5,2,8,1]=>0011101=>[3,1,1,2,1] [3,4,6,7,5,2,8,1]=>0001101=>[4,1,2,1] [5,4,3,7,6,2,8,1]=>1101101=>[1,1,2,1,2,1] [4,5,3,7,6,2,8,1]=>0101101=>[2,2,1,2,1] [3,5,4,7,6,2,8,1]=>0101101=>[2,2,1,2,1] [3,4,5,7,6,2,8,1]=>0001101=>[4,1,2,1] [4,6,5,3,7,2,8,1]=>0110101=>[2,1,2,2,1] [3,6,5,4,7,2,8,1]=>0110101=>[2,1,2,2,1] [3,5,6,4,7,2,8,1]=>0010101=>[3,2,2,1] [4,3,6,5,7,2,8,1]=>1010101=>[1,2,2,2,1] [3,4,6,5,7,2,8,1]=>0010101=>[3,2,2,1] [3,5,4,6,7,2,8,1]=>0100101=>[2,3,2,1] [2,7,6,5,4,3,8,1]=>0111101=>[2,1,1,1,2,1] [2,6,5,7,4,3,8,1]=>0101101=>[2,2,1,2,1] [2,5,6,7,4,3,8,1]=>0001101=>[4,1,2,1] [2,4,6,7,5,3,8,1]=>0001101=>[4,1,2,1] [2,5,4,7,6,3,8,1]=>0101101=>[2,2,1,2,1] [2,4,6,5,7,3,8,1]=>0010101=>[3,2,2,1] [2,5,4,6,7,3,8,1]=>0100101=>[2,3,2,1] [2,4,5,6,7,3,8,1]=>0000101=>[5,2,1] [3,2,7,6,5,4,8,1]=>1011101=>[1,2,1,1,2,1] [3,2,6,7,5,4,8,1]=>1001101=>[1,3,1,2,1] [3,2,5,7,6,4,8,1]=>1001101=>[1,3,1,2,1] [3,2,6,5,7,4,8,1]=>1010101=>[1,2,2,2,1] [3,2,5,6,7,4,8,1]=>1000101=>[1,4,2,1] [2,3,7,6,5,4,8,1]=>0011101=>[3,1,1,2,1] [2,3,5,7,6,4,8,1]=>0001101=>[4,1,2,1] [2,3,5,6,7,4,8,1]=>0000101=>[5,2,1] [4,3,2,7,6,5,8,1]=>1101101=>[1,1,2,1,2,1] [4,3,2,6,7,5,8,1]=>1100101=>[1,1,3,2,1] [3,4,2,7,6,5,8,1]=>0101101=>[2,2,1,2,1] [3,4,2,6,7,5,8,1]=>0100101=>[2,3,2,1] [2,4,3,7,6,5,8,1]=>0101101=>[2,2,1,2,1] [2,4,3,6,7,5,8,1]=>0100101=>[2,3,2,1] [3,2,4,7,6,5,8,1]=>1001101=>[1,3,1,2,1] [2,3,4,7,6,5,8,1]=>0001101=>[4,1,2,1] [2,3,4,6,7,5,8,1]=>0000101=>[5,2,1] [5,4,3,2,7,6,8,1]=>1110101=>[1,1,1,2,2,1] [3,5,4,2,7,6,8,1]=>0110101=>[2,1,2,2,1] [4,3,5,2,7,6,8,1]=>1010101=>[1,2,2,2,1] [3,4,5,2,7,6,8,1]=>0010101=>[3,2,2,1] [2,5,4,3,7,6,8,1]=>0110101=>[2,1,2,2,1] [3,2,5,4,7,6,8,1]=>1010101=>[1,2,2,2,1] [2,3,5,4,7,6,8,1]=>0010101=>[3,2,2,1] [4,3,2,5,7,6,8,1]=>1100101=>[1,1,3,2,1] [3,4,2,5,7,6,8,1]=>0100101=>[2,3,2,1] [2,4,3,5,7,6,8,1]=>0100101=>[2,3,2,1] [3,2,4,5,7,6,8,1]=>1000101=>[1,4,2,1] [2,3,4,5,7,6,8,1]=>0000101=>[5,2,1] [3,6,5,4,2,7,8,1]=>0111001=>[2,1,1,3,1] [3,5,6,4,2,7,8,1]=>0011001=>[3,1,3,1] [3,4,6,5,2,7,8,1]=>0011001=>[3,1,3,1] [3,5,4,6,2,7,8,1]=>0101001=>[2,2,3,1] [2,6,5,4,3,7,8,1]=>0111001=>[2,1,1,3,1] [2,5,6,4,3,7,8,1]=>0011001=>[3,1,3,1] [2,4,6,5,3,7,8,1]=>0011001=>[3,1,3,1] [2,5,4,6,3,7,8,1]=>0101001=>[2,2,3,1] [2,4,5,6,3,7,8,1]=>0001001=>[4,3,1] [3,2,5,6,4,7,8,1]=>1001001=>[1,3,3,1] [2,3,6,5,4,7,8,1]=>0011001=>[3,1,3,1] [2,3,5,6,4,7,8,1]=>0001001=>[4,3,1] [4,3,2,6,5,7,8,1]=>1101001=>[1,1,2,3,1] [3,4,2,6,5,7,8,1]=>0101001=>[2,2,3,1] [2,4,3,6,5,7,8,1]=>0101001=>[2,2,3,1] [2,3,4,6,5,7,8,1]=>0001001=>[4,3,1] [3,5,4,2,6,7,8,1]=>0110001=>[2,1,4,1] [2,5,4,3,6,7,8,1]=>0110001=>[2,1,4,1] [2,4,5,3,6,7,8,1]=>0010001=>[3,4,1] [3,2,5,4,6,7,8,1]=>1010001=>[1,2,4,1] [2,3,5,4,6,7,8,1]=>0010001=>[3,4,1] [2,4,3,5,6,7,8,1]=>0100001=>[2,5,1] [1,8,7,6,5,4,3,2]=>0111111=>[2,1,1,1,1,1,1] [1,7,8,6,5,4,3,2]=>0011111=>[3,1,1,1,1,1] [1,6,8,7,5,4,3,2]=>0011111=>[3,1,1,1,1,1] [1,7,6,8,5,4,3,2]=>0101111=>[2,2,1,1,1,1] [1,6,7,8,5,4,3,2]=>0001111=>[4,1,1,1,1] [1,5,8,7,6,4,3,2]=>0011111=>[3,1,1,1,1,1] [1,6,5,8,7,4,3,2]=>0101111=>[2,2,1,1,1,1] [1,7,6,5,8,4,3,2]=>0110111=>[2,1,2,1,1,1] [1,6,7,5,8,4,3,2]=>0010111=>[3,2,1,1,1] [1,5,7,6,8,4,3,2]=>0010111=>[3,2,1,1,1] [1,6,5,7,8,4,3,2]=>0100111=>[2,3,1,1,1] [1,5,6,7,8,4,3,2]=>0000111=>[5,1,1,1] [1,4,8,7,6,5,3,2]=>0011111=>[3,1,1,1,1,1] [1,4,7,8,6,5,3,2]=>0001111=>[4,1,1,1,1] [1,4,6,8,7,5,3,2]=>0001111=>[4,1,1,1,1] [1,4,6,7,8,5,3,2]=>0000111=>[5,1,1,1] [1,5,4,7,8,6,3,2]=>0100111=>[2,3,1,1,1] [1,4,5,8,7,6,3,2]=>0001111=>[4,1,1,1,1] [1,4,5,7,8,6,3,2]=>0000111=>[5,1,1,1] [1,6,5,4,8,7,3,2]=>0110111=>[2,1,2,1,1,1] [1,4,6,5,8,7,3,2]=>0010111=>[3,2,1,1,1] [1,7,6,5,4,8,3,2]=>0111011=>[2,1,1,2,1,1] [1,4,7,6,5,8,3,2]=>0011011=>[3,1,2,1,1] [1,4,6,7,5,8,3,2]=>0001011=>[4,2,1,1] [1,6,5,4,7,8,3,2]=>0110011=>[2,1,3,1,1] [1,5,6,4,7,8,3,2]=>0010011=>[3,3,1,1] [1,5,4,6,7,8,3,2]=>0100011=>[2,4,1,1] [1,4,5,6,7,8,3,2]=>0000011=>[6,1,1] [1,3,8,7,6,5,4,2]=>0011111=>[3,1,1,1,1,1] [1,3,7,8,6,5,4,2]=>0001111=>[4,1,1,1,1] [1,3,6,8,7,5,4,2]=>0001111=>[4,1,1,1,1] [1,3,6,7,8,5,4,2]=>0000111=>[5,1,1,1] [1,3,5,8,7,6,4,2]=>0001111=>[4,1,1,1,1] [1,3,5,7,8,6,4,2]=>0000111=>[5,1,1,1] [1,3,5,6,8,7,4,2]=>0000111=>[5,1,1,1] [1,3,6,7,5,8,4,2]=>0001011=>[4,2,1,1] [1,3,5,7,6,8,4,2]=>0001011=>[4,2,1,1] [1,3,6,5,7,8,4,2]=>0010011=>[3,3,1,1] [1,3,5,6,7,8,4,2]=>0000011=>[6,1,1] [1,4,3,8,7,6,5,2]=>0101111=>[2,2,1,1,1,1] [1,4,3,7,8,6,5,2]=>0100111=>[2,3,1,1,1] [1,4,3,6,8,7,5,2]=>0100111=>[2,3,1,1,1] [1,4,3,7,6,8,5,2]=>0101011=>[2,2,2,1,1] [1,4,3,6,7,8,5,2]=>0100011=>[2,4,1,1] [1,3,4,8,7,6,5,2]=>0001111=>[4,1,1,1,1] [1,3,4,7,6,8,5,2]=>0001011=>[4,2,1,1] [1,3,4,6,7,8,5,2]=>0000011=>[6,1,1] [1,5,4,3,8,7,6,2]=>0110111=>[2,1,2,1,1,1] [1,4,5,3,8,7,6,2]=>0010111=>[3,2,1,1,1] [1,4,5,3,7,8,6,2]=>0010011=>[3,3,1,1] [1,3,5,4,8,7,6,2]=>0010111=>[3,2,1,1,1] [1,3,5,4,7,8,6,2]=>0010011=>[3,3,1,1] [1,4,3,5,8,7,6,2]=>0100111=>[2,3,1,1,1] [1,4,3,5,7,8,6,2]=>0100011=>[2,4,1,1] [1,3,4,5,8,7,6,2]=>0000111=>[5,1,1,1] [1,3,4,5,7,8,6,2]=>0000011=>[6,1,1] [1,6,5,4,3,8,7,2]=>0111011=>[2,1,1,2,1,1] [1,5,6,4,3,8,7,2]=>0011011=>[3,1,2,1,1] [1,4,6,5,3,8,7,2]=>0011011=>[3,1,2,1,1] [1,4,5,6,3,8,7,2]=>0001011=>[4,2,1,1] [1,3,6,5,4,8,7,2]=>0011011=>[3,1,2,1,1] [1,4,3,6,5,8,7,2]=>0101011=>[2,2,2,1,1] [1,5,4,3,6,8,7,2]=>0110011=>[2,1,3,1,1] [1,4,5,3,6,8,7,2]=>0010011=>[3,3,1,1] [1,3,4,5,6,8,7,2]=>0000011=>[6,1,1] [1,7,6,5,4,3,8,2]=>0111101=>[2,1,1,1,2,1] [1,6,7,5,4,3,8,2]=>0011101=>[3,1,1,2,1] [1,6,5,7,4,3,8,2]=>0101101=>[2,2,1,2,1] [1,4,6,7,5,3,8,2]=>0001101=>[4,1,2,1] [1,5,6,4,7,3,8,2]=>0010101=>[3,2,2,1] [1,4,6,5,7,3,8,2]=>0010101=>[3,2,2,1] [1,5,4,6,7,3,8,2]=>0100101=>[2,3,2,1] [1,4,5,6,7,3,8,2]=>0000101=>[5,2,1] [1,3,5,7,6,4,8,2]=>0001101=>[4,1,2,1] [1,3,6,5,7,4,8,2]=>0010101=>[3,2,2,1] [1,3,5,6,7,4,8,2]=>0000101=>[5,2,1] [1,4,3,6,7,5,8,2]=>0100101=>[2,3,2,1] [1,3,4,7,6,5,8,2]=>0001101=>[4,1,2,1] [1,3,4,6,7,5,8,2]=>0000101=>[5,2,1] [1,3,5,4,7,6,8,2]=>0010101=>[3,2,2,1] [1,3,4,5,7,6,8,2]=>0000101=>[5,2,1] [1,6,5,4,3,7,8,2]=>0111001=>[2,1,1,3,1] [1,5,4,6,3,7,8,2]=>0101001=>[2,2,3,1] [1,3,5,6,4,7,8,2]=>0001001=>[4,3,1] [1,4,3,6,5,7,8,2]=>0101001=>[2,2,3,1] [1,3,4,6,5,7,8,2]=>0001001=>[4,3,1] [1,5,4,3,6,7,8,2]=>0110001=>[2,1,4,1] [1,4,5,3,6,7,8,2]=>0010001=>[3,4,1] [1,3,5,4,6,7,8,2]=>0010001=>[3,4,1] [1,4,3,5,6,7,8,2]=>0100001=>[2,5,1] [1,3,4,5,6,7,8,2]=>0000001=>[7,1] [2,1,8,7,6,5,4,3]=>1011111=>[1,2,1,1,1,1,1] [2,1,7,8,6,5,4,3]=>1001111=>[1,3,1,1,1,1] [2,1,6,8,7,5,4,3]=>1001111=>[1,3,1,1,1,1] [2,1,7,6,8,5,4,3]=>1010111=>[1,2,2,1,1,1] [2,1,6,7,8,5,4,3]=>1000111=>[1,4,1,1,1] [2,1,5,8,7,6,4,3]=>1001111=>[1,3,1,1,1,1] [2,1,5,7,8,6,4,3]=>1000111=>[1,4,1,1,1] [2,1,6,5,8,7,4,3]=>1010111=>[1,2,2,1,1,1] [2,1,5,6,8,7,4,3]=>1000111=>[1,4,1,1,1] [2,1,7,6,5,8,4,3]=>1011011=>[1,2,1,2,1,1] [2,1,6,7,5,8,4,3]=>1001011=>[1,3,2,1,1] [2,1,5,7,6,8,4,3]=>1001011=>[1,3,2,1,1] [2,1,6,5,7,8,4,3]=>1010011=>[1,2,3,1,1] [2,1,5,6,7,8,4,3]=>1000011=>[1,5,1,1] [2,1,4,8,7,6,5,3]=>1001111=>[1,3,1,1,1,1] [2,1,4,7,8,6,5,3]=>1000111=>[1,4,1,1,1] [2,1,4,6,8,7,5,3]=>1000111=>[1,4,1,1,1] [2,1,4,7,6,8,5,3]=>1001011=>[1,3,2,1,1] [2,1,4,6,7,8,5,3]=>1000011=>[1,5,1,1] [2,1,5,4,8,7,6,3]=>1010111=>[1,2,2,1,1,1] [2,1,5,4,7,8,6,3]=>1010011=>[1,2,3,1,1] [2,1,4,5,8,7,6,3]=>1000111=>[1,4,1,1,1] [2,1,4,5,7,8,6,3]=>1000011=>[1,5,1,1] [2,1,6,5,4,8,7,3]=>1011011=>[1,2,1,2,1,1] [2,1,5,6,4,8,7,3]=>1001011=>[1,3,2,1,1] [2,1,4,6,5,8,7,3]=>1001011=>[1,3,2,1,1] [2,1,5,4,6,8,7,3]=>1010011=>[1,2,3,1,1] [2,1,4,5,6,8,7,3]=>1000011=>[1,5,1,1] [2,1,7,6,5,4,8,3]=>1011101=>[1,2,1,1,2,1] [2,1,6,7,5,4,8,3]=>1001101=>[1,3,1,2,1] [2,1,5,7,6,4,8,3]=>1001101=>[1,3,1,2,1] [2,1,6,5,7,4,8,3]=>1010101=>[1,2,2,2,1] [2,1,5,6,7,4,8,3]=>1000101=>[1,4,2,1] [2,1,4,7,6,5,8,3]=>1001101=>[1,3,1,2,1] [2,1,4,6,7,5,8,3]=>1000101=>[1,4,2,1] [2,1,5,4,7,6,8,3]=>1010101=>[1,2,2,2,1] [2,1,5,6,4,7,8,3]=>1001001=>[1,3,3,1] [2,1,5,4,6,7,8,3]=>1010001=>[1,2,4,1] [2,1,4,5,6,7,8,3]=>1000001=>[1,6,1] [1,2,8,7,6,5,4,3]=>0011111=>[3,1,1,1,1,1] [1,2,7,8,6,5,4,3]=>0001111=>[4,1,1,1,1] [1,2,7,6,8,5,4,3]=>0010111=>[3,2,1,1,1] [1,2,6,7,8,5,4,3]=>0000111=>[5,1,1,1] [1,2,5,8,7,6,4,3]=>0001111=>[4,1,1,1,1] [1,2,6,5,8,7,4,3]=>0010111=>[3,2,1,1,1] [1,2,5,6,8,7,4,3]=>0000111=>[5,1,1,1] [1,2,7,6,5,8,4,3]=>0011011=>[3,1,2,1,1] [1,2,5,7,6,8,4,3]=>0001011=>[4,2,1,1] [1,2,6,5,7,8,4,3]=>0010011=>[3,3,1,1] [1,2,5,6,7,8,4,3]=>0000011=>[6,1,1] [1,2,4,8,7,6,5,3]=>0001111=>[4,1,1,1,1] [1,2,4,7,8,6,5,3]=>0000111=>[5,1,1,1] [1,2,4,6,8,7,5,3]=>0000111=>[5,1,1,1] [1,2,4,7,6,8,5,3]=>0001011=>[4,2,1,1] [1,2,4,6,7,8,5,3]=>0000011=>[6,1,1] [1,2,5,4,8,7,6,3]=>0010111=>[3,2,1,1,1] [1,2,4,5,8,7,6,3]=>0000111=>[5,1,1,1] [1,2,4,5,7,8,6,3]=>0000011=>[6,1,1] [1,2,6,5,4,8,7,3]=>0011011=>[3,1,2,1,1] [1,2,5,4,6,8,7,3]=>0010011=>[3,3,1,1] [1,2,4,5,6,8,7,3]=>0000011=>[6,1,1] [1,2,7,6,5,4,8,3]=>0011101=>[3,1,1,2,1] [1,2,5,7,6,4,8,3]=>0001101=>[4,1,2,1] [1,2,5,6,7,4,8,3]=>0000101=>[5,2,1] [1,2,4,7,6,5,8,3]=>0001101=>[4,1,2,1] [1,2,5,4,7,6,8,3]=>0010101=>[3,2,2,1] [1,2,6,5,4,7,8,3]=>0011001=>[3,1,3,1] [1,2,5,6,4,7,8,3]=>0001001=>[4,3,1] [1,2,4,6,5,7,8,3]=>0001001=>[4,3,1] [1,2,5,4,6,7,8,3]=>0010001=>[3,4,1] [1,2,4,5,6,7,8,3]=>0000001=>[7,1] [3,2,1,8,7,6,5,4]=>1101111=>[1,1,2,1,1,1,1] [3,2,1,7,8,6,5,4]=>1100111=>[1,1,3,1,1,1] [3,2,1,6,8,7,5,4]=>1100111=>[1,1,3,1,1,1] [3,2,1,7,6,8,5,4]=>1101011=>[1,1,2,2,1,1] [3,2,1,6,7,8,5,4]=>1100011=>[1,1,4,1,1] [3,2,1,5,8,7,6,4]=>1100111=>[1,1,3,1,1,1] [3,2,1,5,7,8,6,4]=>1100011=>[1,1,4,1,1] [3,2,1,6,5,8,7,4]=>1101011=>[1,1,2,2,1,1] [3,2,1,5,6,8,7,4]=>1100011=>[1,1,4,1,1] [3,2,1,7,6,5,8,4]=>1101101=>[1,1,2,1,2,1] [3,2,1,6,7,5,8,4]=>1100101=>[1,1,3,2,1] [3,2,1,5,7,6,8,4]=>1100101=>[1,1,3,2,1] [3,2,1,6,5,7,8,4]=>1101001=>[1,1,2,3,1] [3,2,1,5,6,7,8,4]=>1100001=>[1,1,5,1] [2,3,1,8,7,6,5,4]=>0101111=>[2,2,1,1,1,1] [2,3,1,7,8,6,5,4]=>0100111=>[2,3,1,1,1] [2,3,1,6,8,7,5,4]=>0100111=>[2,3,1,1,1] [2,3,1,7,6,8,5,4]=>0101011=>[2,2,2,1,1] [2,3,1,6,7,8,5,4]=>0100011=>[2,4,1,1] [2,3,1,5,7,8,6,4]=>0100011=>[2,4,1,1] [2,3,1,6,5,8,7,4]=>0101011=>[2,2,2,1,1] [2,3,1,7,6,5,8,4]=>0101101=>[2,2,1,2,1] [2,3,1,6,7,5,8,4]=>0100101=>[2,3,2,1] [2,3,1,5,7,6,8,4]=>0100101=>[2,3,2,1] [2,3,1,5,6,7,8,4]=>0100001=>[2,5,1] [1,3,2,8,7,6,5,4]=>0101111=>[2,2,1,1,1,1] [1,3,2,6,8,7,5,4]=>0100111=>[2,3,1,1,1] [1,3,2,7,6,8,5,4]=>0101011=>[2,2,2,1,1] [1,3,2,6,7,8,5,4]=>0100011=>[2,4,1,1] [1,3,2,5,8,7,6,4]=>0100111=>[2,3,1,1,1] [1,3,2,5,7,8,6,4]=>0100011=>[2,4,1,1] [1,3,2,6,5,8,7,4]=>0101011=>[2,2,2,1,1] [1,3,2,5,6,8,7,4]=>0100011=>[2,4,1,1] [1,3,2,7,6,5,8,4]=>0101101=>[2,2,1,2,1] [1,3,2,6,7,5,8,4]=>0100101=>[2,3,2,1] [1,3,2,5,7,6,8,4]=>0100101=>[2,3,2,1] [1,3,2,6,5,7,8,4]=>0101001=>[2,2,3,1] [1,3,2,5,6,7,8,4]=>0100001=>[2,5,1] [2,1,3,8,7,6,5,4]=>1001111=>[1,3,1,1,1,1] [2,1,3,7,8,6,5,4]=>1000111=>[1,4,1,1,1] [2,1,3,6,8,7,5,4]=>1000111=>[1,4,1,1,1] [2,1,3,6,7,8,5,4]=>1000011=>[1,5,1,1] [2,1,3,6,5,8,7,4]=>1001011=>[1,3,2,1,1] [2,1,3,5,7,6,8,4]=>1000101=>[1,4,2,1] [2,1,3,5,6,7,8,4]=>1000001=>[1,6,1] [1,2,3,8,7,6,5,4]=>0001111=>[4,1,1,1,1] [1,2,3,7,8,6,5,4]=>0000111=>[5,1,1,1] [1,2,3,6,8,7,5,4]=>0000111=>[5,1,1,1] [1,2,3,7,6,8,5,4]=>0001011=>[4,2,1,1] [1,2,3,6,7,8,5,4]=>0000011=>[6,1,1] [1,2,3,5,8,7,6,4]=>0000111=>[5,1,1,1] [1,2,3,5,7,8,6,4]=>0000011=>[6,1,1] [1,2,3,6,5,8,7,4]=>0001011=>[4,2,1,1] [1,2,3,5,6,8,7,4]=>0000011=>[6,1,1] [1,2,3,7,6,5,8,4]=>0001101=>[4,1,2,1] [1,2,3,6,7,5,8,4]=>0000101=>[5,2,1] [1,2,3,5,7,6,8,4]=>0000101=>[5,2,1] [1,2,3,6,5,7,8,4]=>0001001=>[4,3,1] [1,2,3,5,6,7,8,4]=>0000001=>[7,1] [4,3,2,1,8,7,6,5]=>1110111=>[1,1,1,2,1,1,1] [4,3,2,1,7,8,6,5]=>1110011=>[1,1,1,3,1,1] [4,3,2,1,6,8,7,5]=>1110011=>[1,1,1,3,1,1] [4,3,2,1,7,6,8,5]=>1110101=>[1,1,1,2,2,1] [4,3,2,1,6,7,8,5]=>1110001=>[1,1,1,4,1] [3,4,2,1,8,7,6,5]=>0110111=>[2,1,2,1,1,1] [3,4,2,1,7,8,6,5]=>0110011=>[2,1,3,1,1] [3,4,2,1,6,8,7,5]=>0110011=>[2,1,3,1,1] [3,4,2,1,7,6,8,5]=>0110101=>[2,1,2,2,1] [3,4,2,1,6,7,8,5]=>0110001=>[2,1,4,1] [2,4,3,1,8,7,6,5]=>0110111=>[2,1,2,1,1,1] [2,4,3,1,7,8,6,5]=>0110011=>[2,1,3,1,1] [2,4,3,1,6,8,7,5]=>0110011=>[2,1,3,1,1] [2,4,3,1,7,6,8,5]=>0110101=>[2,1,2,2,1] [2,4,3,1,6,7,8,5]=>0110001=>[2,1,4,1] [3,2,4,1,8,7,6,5]=>1010111=>[1,2,2,1,1,1] [3,2,4,1,7,8,6,5]=>1010011=>[1,2,3,1,1] [3,2,4,1,6,8,7,5]=>1010011=>[1,2,3,1,1] [3,2,4,1,7,6,8,5]=>1010101=>[1,2,2,2,1] [3,2,4,1,6,7,8,5]=>1010001=>[1,2,4,1] [2,3,4,1,8,7,6,5]=>0010111=>[3,2,1,1,1] [2,3,4,1,7,8,6,5]=>0010011=>[3,3,1,1] [2,3,4,1,6,8,7,5]=>0010011=>[3,3,1,1] [2,3,4,1,7,6,8,5]=>0010101=>[3,2,2,1] [2,3,4,1,6,7,8,5]=>0010001=>[3,4,1] [1,4,3,2,8,7,6,5]=>0110111=>[2,1,2,1,1,1] [1,4,3,2,6,8,7,5]=>0110011=>[2,1,3,1,1] [1,4,3,2,7,6,8,5]=>0110101=>[2,1,2,2,1] [1,4,3,2,6,7,8,5]=>0110001=>[2,1,4,1] [1,3,4,2,8,7,6,5]=>0010111=>[3,2,1,1,1] [1,3,4,2,7,8,6,5]=>0010011=>[3,3,1,1] [1,3,4,2,6,8,7,5]=>0010011=>[3,3,1,1] [1,3,4,2,7,6,8,5]=>0010101=>[3,2,2,1] [1,3,4,2,6,7,8,5]=>0010001=>[3,4,1] [2,1,4,3,8,7,6,5]=>1010111=>[1,2,2,1,1,1] [2,1,4,3,7,8,6,5]=>1010011=>[1,2,3,1,1] [2,1,4,3,6,8,7,5]=>1010011=>[1,2,3,1,1] [2,1,4,3,7,6,8,5]=>1010101=>[1,2,2,2,1] [2,1,4,3,6,7,8,5]=>1010001=>[1,2,4,1] [1,2,4,3,8,7,6,5]=>0010111=>[3,2,1,1,1] [1,2,4,3,7,8,6,5]=>0010011=>[3,3,1,1] [1,2,4,3,6,8,7,5]=>0010011=>[3,3,1,1] [1,2,4,3,7,6,8,5]=>0010101=>[3,2,2,1] [1,2,4,3,6,7,8,5]=>0010001=>[3,4,1] [3,2,1,4,8,7,6,5]=>1100111=>[1,1,3,1,1,1] [3,2,1,4,7,8,6,5]=>1100011=>[1,1,4,1,1] [3,2,1,4,6,8,7,5]=>1100011=>[1,1,4,1,1] [3,2,1,4,7,6,8,5]=>1100101=>[1,1,3,2,1] [3,2,1,4,6,7,8,5]=>1100001=>[1,1,5,1] [2,3,1,4,8,7,6,5]=>0100111=>[2,3,1,1,1] [2,3,1,4,7,8,6,5]=>0100011=>[2,4,1,1] [2,3,1,4,7,6,8,5]=>0100101=>[2,3,2,1] [2,3,1,4,6,7,8,5]=>0100001=>[2,5,1] [1,3,2,4,8,7,6,5]=>0100111=>[2,3,1,1,1] [1,3,2,4,6,8,7,5]=>0100011=>[2,4,1,1] [1,3,2,4,7,6,8,5]=>0100101=>[2,3,2,1] [1,3,2,4,6,7,8,5]=>0100001=>[2,5,1] [2,1,3,4,8,7,6,5]=>1000111=>[1,4,1,1,1] [2,1,3,4,7,8,6,5]=>1000011=>[1,5,1,1] [2,1,3,4,7,6,8,5]=>1000101=>[1,4,2,1] [2,1,3,4,6,7,8,5]=>1000001=>[1,6,1] [1,2,3,4,8,7,6,5]=>0000111=>[5,1,1,1] [1,2,3,4,7,8,6,5]=>0000011=>[6,1,1] [1,2,3,4,6,8,7,5]=>0000011=>[6,1,1] [1,2,3,4,7,6,8,5]=>0000101=>[5,2,1] [1,2,3,4,6,7,8,5]=>0000001=>[7,1] [5,4,3,2,1,8,7,6]=>1111011=>[1,1,1,1,2,1,1] [5,4,3,2,1,7,8,6]=>1111001=>[1,1,1,1,3,1] [4,5,3,2,1,8,7,6]=>0111011=>[2,1,1,2,1,1] [3,5,4,2,1,8,7,6]=>0111011=>[2,1,1,2,1,1] [3,5,4,2,1,7,8,6]=>0111001=>[2,1,1,3,1] [4,3,5,2,1,8,7,6]=>1011011=>[1,2,1,2,1,1] [3,4,5,2,1,8,7,6]=>0011011=>[3,1,2,1,1] [3,4,5,2,1,7,8,6]=>0011001=>[3,1,3,1] [2,5,4,3,1,8,7,6]=>0111011=>[2,1,1,2,1,1] [2,5,4,3,1,7,8,6]=>0111001=>[2,1,1,3,1] [2,4,5,3,1,8,7,6]=>0011011=>[3,1,2,1,1] [2,4,5,3,1,7,8,6]=>0011001=>[3,1,3,1] [3,2,5,4,1,8,7,6]=>1011011=>[1,2,1,2,1,1] [3,2,5,4,1,7,8,6]=>1011001=>[1,2,1,3,1] [2,3,5,4,1,8,7,6]=>0011011=>[3,1,2,1,1] [4,3,2,5,1,8,7,6]=>1101011=>[1,1,2,2,1,1] [4,3,2,5,1,7,8,6]=>1101001=>[1,1,2,3,1] [3,4,2,5,1,8,7,6]=>0101011=>[2,2,2,1,1] [3,4,2,5,1,7,8,6]=>0101001=>[2,2,3,1] [2,4,3,5,1,8,7,6]=>0101011=>[2,2,2,1,1] [2,4,3,5,1,7,8,6]=>0101001=>[2,2,3,1] [3,2,4,5,1,8,7,6]=>1001011=>[1,3,2,1,1] [2,3,4,5,1,8,7,6]=>0001011=>[4,2,1,1] [2,3,4,5,1,7,8,6]=>0001001=>[4,3,1] [1,5,4,3,2,8,7,6]=>0111011=>[2,1,1,2,1,1] [1,5,4,3,2,7,8,6]=>0111001=>[2,1,1,3,1] [1,4,5,3,2,8,7,6]=>0011011=>[3,1,2,1,1] [1,4,5,3,2,7,8,6]=>0011001=>[3,1,3,1] [1,3,5,4,2,7,8,6]=>0011001=>[3,1,3,1] [1,4,3,5,2,8,7,6]=>0101011=>[2,2,2,1,1] [1,4,3,5,2,7,8,6]=>0101001=>[2,2,3,1] [1,3,4,5,2,8,7,6]=>0001011=>[4,2,1,1] [1,3,4,5,2,7,8,6]=>0001001=>[4,3,1] [2,1,5,4,3,8,7,6]=>1011011=>[1,2,1,2,1,1] [2,1,4,5,3,8,7,6]=>1001011=>[1,3,2,1,1] [1,2,5,4,3,8,7,6]=>0011011=>[3,1,2,1,1] [1,2,5,4,3,7,8,6]=>0011001=>[3,1,3,1] [1,2,4,5,3,8,7,6]=>0001011=>[4,2,1,1] [1,2,4,5,3,7,8,6]=>0001001=>[4,3,1] [1,3,2,5,4,8,7,6]=>0101011=>[2,2,2,1,1] [1,3,2,5,4,7,8,6]=>0101001=>[2,2,3,1] [2,1,3,5,4,8,7,6]=>1001011=>[1,3,2,1,1] [2,1,3,5,4,7,8,6]=>1001001=>[1,3,3,1] [1,2,3,5,4,8,7,6]=>0001011=>[4,2,1,1] [1,2,3,5,4,7,8,6]=>0001001=>[4,3,1] [4,3,2,1,5,8,7,6]=>1110011=>[1,1,1,3,1,1] [4,3,2,1,5,7,8,6]=>1110001=>[1,1,1,4,1] [2,4,3,1,5,8,7,6]=>0110011=>[2,1,3,1,1] [3,2,4,1,5,8,7,6]=>1010011=>[1,2,3,1,1] [3,2,4,1,5,7,8,6]=>1010001=>[1,2,4,1] [2,3,4,1,5,8,7,6]=>0010011=>[3,3,1,1] [2,3,4,1,5,7,8,6]=>0010001=>[3,4,1] [1,4,3,2,5,8,7,6]=>0110011=>[2,1,3,1,1] [1,4,3,2,5,7,8,6]=>0110001=>[2,1,4,1] [1,3,4,2,5,8,7,6]=>0010011=>[3,3,1,1] [1,3,4,2,5,7,8,6]=>0010001=>[3,4,1] [2,1,4,3,5,8,7,6]=>1010011=>[1,2,3,1,1] [2,1,4,3,5,7,8,6]=>1010001=>[1,2,4,1] [1,2,4,3,5,8,7,6]=>0010011=>[3,3,1,1] [1,2,4,3,5,7,8,6]=>0010001=>[3,4,1] [3,2,1,4,5,8,7,6]=>1100011=>[1,1,4,1,1] [3,2,1,4,5,7,8,6]=>1100001=>[1,1,5,1] [2,3,1,4,5,7,8,6]=>0100001=>[2,5,1] [1,3,2,4,5,8,7,6]=>0100011=>[2,4,1,1] [1,3,2,4,5,7,8,6]=>0100001=>[2,5,1] [2,1,3,4,5,8,7,6]=>1000011=>[1,5,1,1] [2,1,3,4,5,7,8,6]=>1000001=>[1,6,1] [1,2,3,4,5,8,7,6]=>0000011=>[6,1,1] [1,2,3,4,5,7,8,6]=>0000001=>[7,1] [6,5,4,3,2,1,8,7]=>1111101=>[1,1,1,1,1,2,1] [5,6,4,3,2,1,8,7]=>0111101=>[2,1,1,1,2,1] [4,6,5,3,2,1,8,7]=>0111101=>[2,1,1,1,2,1] [5,4,6,3,2,1,8,7]=>1011101=>[1,2,1,1,2,1] [4,5,6,3,2,1,8,7]=>0011101=>[3,1,1,2,1] [3,6,5,4,2,1,8,7]=>0111101=>[2,1,1,1,2,1] [3,5,6,4,2,1,8,7]=>0011101=>[3,1,1,2,1] [4,3,6,5,2,1,8,7]=>1011101=>[1,2,1,1,2,1] [3,4,6,5,2,1,8,7]=>0011101=>[3,1,1,2,1] [5,4,3,6,2,1,8,7]=>1101101=>[1,1,2,1,2,1] [4,5,3,6,2,1,8,7]=>0101101=>[2,2,1,2,1] [4,3,5,6,2,1,8,7]=>1001101=>[1,3,1,2,1] [3,4,5,6,2,1,8,7]=>0001101=>[4,1,2,1] [2,6,5,4,3,1,8,7]=>0111101=>[2,1,1,1,2,1] [2,5,6,4,3,1,8,7]=>0011101=>[3,1,1,2,1] [2,4,6,5,3,1,8,7]=>0011101=>[3,1,1,2,1] [3,2,6,5,4,1,8,7]=>1011101=>[1,2,1,1,2,1] [3,2,5,6,4,1,8,7]=>1001101=>[1,3,1,2,1] [2,3,6,5,4,1,8,7]=>0011101=>[3,1,1,2,1] [2,3,5,6,4,1,8,7]=>0001101=>[4,1,2,1] [4,3,2,6,5,1,8,7]=>1101101=>[1,1,2,1,2,1] [3,4,2,6,5,1,8,7]=>0101101=>[2,2,1,2,1] [2,4,3,6,5,1,8,7]=>0101101=>[2,2,1,2,1] [5,4,3,2,6,1,8,7]=>1110101=>[1,1,1,2,2,1] [4,5,3,2,6,1,8,7]=>0110101=>[2,1,2,2,1] [3,5,4,2,6,1,8,7]=>0110101=>[2,1,2,2,1] [4,3,5,2,6,1,8,7]=>1010101=>[1,2,2,2,1] [3,4,5,2,6,1,8,7]=>0010101=>[3,2,2,1] [2,5,4,3,6,1,8,7]=>0110101=>[2,1,2,2,1] [2,4,5,3,6,1,8,7]=>0010101=>[3,2,2,1] [3,2,5,4,6,1,8,7]=>1010101=>[1,2,2,2,1] [4,3,2,5,6,1,8,7]=>1100101=>[1,1,3,2,1] [3,4,2,5,6,1,8,7]=>0100101=>[2,3,2,1] [2,4,3,5,6,1,8,7]=>0100101=>[2,3,2,1] [2,3,4,5,6,1,8,7]=>0000101=>[5,2,1] [1,6,5,4,3,2,8,7]=>0111101=>[2,1,1,1,2,1] [1,5,6,4,3,2,8,7]=>0011101=>[3,1,1,2,1] [1,5,4,6,3,2,8,7]=>0101101=>[2,2,1,2,1] [1,3,6,5,4,2,8,7]=>0011101=>[3,1,1,2,1] [1,3,4,5,6,2,8,7]=>0000101=>[5,2,1] [2,1,6,5,4,3,8,7]=>1011101=>[1,2,1,1,2,1] [2,1,5,6,4,3,8,7]=>1001101=>[1,3,1,2,1] [2,1,4,6,5,3,8,7]=>1001101=>[1,3,1,2,1] [2,1,5,4,6,3,8,7]=>1010101=>[1,2,2,2,1] [2,1,4,5,6,3,8,7]=>1000101=>[1,4,2,1] [1,2,4,5,6,3,8,7]=>0000101=>[5,2,1] [3,2,1,6,5,4,8,7]=>1101101=>[1,1,2,1,2,1] [2,3,1,6,5,4,8,7]=>0101101=>[2,2,1,2,1] [1,3,2,6,5,4,8,7]=>0101101=>[2,2,1,2,1] [1,3,2,5,6,4,8,7]=>0100101=>[2,3,2,1] [2,1,3,5,6,4,8,7]=>1000101=>[1,4,2,1] [1,2,3,6,5,4,8,7]=>0001101=>[4,1,2,1] [1,2,3,5,6,4,8,7]=>0000101=>[5,2,1] [4,3,2,1,6,5,8,7]=>1110101=>[1,1,1,2,2,1] [3,4,2,1,6,5,8,7]=>0110101=>[2,1,2,2,1] [2,4,3,1,6,5,8,7]=>0110101=>[2,1,2,2,1] [3,2,4,1,6,5,8,7]=>1010101=>[1,2,2,2,1] [2,3,4,1,6,5,8,7]=>0010101=>[3,2,2,1] [1,3,4,2,6,5,8,7]=>0010101=>[3,2,2,1] [2,1,4,3,6,5,8,7]=>1010101=>[1,2,2,2,1] [1,2,4,3,6,5,8,7]=>0010101=>[3,2,2,1] [2,3,1,4,6,5,8,7]=>0100101=>[2,3,2,1] [1,3,2,4,6,5,8,7]=>0100101=>[2,3,2,1] [2,1,3,4,6,5,8,7]=>1000101=>[1,4,2,1] [1,2,3,4,6,5,8,7]=>0000101=>[5,2,1] [5,4,3,2,1,6,8,7]=>1111001=>[1,1,1,1,3,1] [4,5,3,2,1,6,8,7]=>0111001=>[2,1,1,3,1] [3,5,4,2,1,6,8,7]=>0111001=>[2,1,1,3,1] [4,3,5,2,1,6,8,7]=>1011001=>[1,2,1,3,1] [3,4,5,2,1,6,8,7]=>0011001=>[3,1,3,1] [2,5,4,3,1,6,8,7]=>0111001=>[2,1,1,3,1] [2,4,5,3,1,6,8,7]=>0011001=>[3,1,3,1] [3,2,5,4,1,6,8,7]=>1011001=>[1,2,1,3,1] [2,3,5,4,1,6,8,7]=>0011001=>[3,1,3,1] [2,4,3,5,1,6,8,7]=>0101001=>[2,2,3,1] [2,3,4,5,1,6,8,7]=>0001001=>[4,3,1] [1,4,5,3,2,6,8,7]=>0011001=>[3,1,3,1] [1,3,5,4,2,6,8,7]=>0011001=>[3,1,3,1] [1,3,4,5,2,6,8,7]=>0001001=>[4,3,1] [2,1,4,5,3,6,8,7]=>1001001=>[1,3,3,1] [1,2,5,4,3,6,8,7]=>0011001=>[3,1,3,1] [2,1,3,5,4,6,8,7]=>1001001=>[1,3,3,1] [1,2,3,5,4,6,8,7]=>0001001=>[4,3,1] [4,3,2,1,5,6,8,7]=>1110001=>[1,1,1,4,1] [3,2,4,1,5,6,8,7]=>1010001=>[1,2,4,1] [2,3,4,1,5,6,8,7]=>0010001=>[3,4,1] [1,4,3,2,5,6,8,7]=>0110001=>[2,1,4,1] [1,3,4,2,5,6,8,7]=>0010001=>[3,4,1] [2,1,4,3,5,6,8,7]=>1010001=>[1,2,4,1] [1,2,4,3,5,6,8,7]=>0010001=>[3,4,1] [3,2,1,4,5,6,8,7]=>1100001=>[1,1,5,1] [2,3,1,4,5,6,8,7]=>0100001=>[2,5,1] [1,3,2,4,5,6,8,7]=>0100001=>[2,5,1] [2,1,3,4,5,6,8,7]=>1000001=>[1,6,1] [1,2,3,4,5,6,8,7]=>0000001=>[7,1] [5,7,6,4,3,2,1,8]=>0111110=>[2,1,1,1,1,2] [4,7,6,5,3,2,1,8]=>0111110=>[2,1,1,1,1,2] [4,6,7,5,3,2,1,8]=>0011110=>[3,1,1,1,2] [5,4,7,6,3,2,1,8]=>1011110=>[1,2,1,1,1,2] [4,5,7,6,3,2,1,8]=>0011110=>[3,1,1,1,2] [4,6,5,7,3,2,1,8]=>0101110=>[2,2,1,1,2] [3,5,7,6,4,2,1,8]=>0011110=>[3,1,1,1,2] [3,5,6,7,4,2,1,8]=>0001110=>[4,1,1,2] [4,3,7,6,5,2,1,8]=>1011110=>[1,2,1,1,1,2] [3,4,7,6,5,2,1,8]=>0011110=>[3,1,1,1,2] [5,4,3,7,6,2,1,8]=>1101110=>[1,1,2,1,1,2] [4,5,3,7,6,2,1,8]=>0101110=>[2,2,1,1,2] [3,5,4,7,6,2,1,8]=>0101110=>[2,2,1,1,2] [4,3,5,7,6,2,1,8]=>1001110=>[1,3,1,1,2] [3,6,5,4,7,2,1,8]=>0110110=>[2,1,2,1,2] [3,5,6,4,7,2,1,8]=>0010110=>[3,2,1,2] [4,3,6,5,7,2,1,8]=>1010110=>[1,2,2,1,2] [2,7,6,5,4,3,1,8]=>0111110=>[2,1,1,1,1,2] [2,6,7,5,4,3,1,8]=>0011110=>[3,1,1,1,2] [2,5,7,6,4,3,1,8]=>0011110=>[3,1,1,1,2] [2,5,6,7,4,3,1,8]=>0001110=>[4,1,1,2] [2,4,6,7,5,3,1,8]=>0001110=>[4,1,1,2] [2,5,4,7,6,3,1,8]=>0101110=>[2,2,1,1,2] [2,5,6,4,7,3,1,8]=>0010110=>[3,2,1,2] [2,5,4,6,7,3,1,8]=>0100110=>[2,3,1,2] [2,4,5,6,7,3,1,8]=>0000110=>[5,1,2] [3,2,7,6,5,4,1,8]=>1011110=>[1,2,1,1,1,2] [3,2,6,7,5,4,1,8]=>1001110=>[1,3,1,1,2] [3,2,5,7,6,4,1,8]=>1001110=>[1,3,1,1,2] [3,2,6,5,7,4,1,8]=>1010110=>[1,2,2,1,2] [3,2,5,6,7,4,1,8]=>1000110=>[1,4,1,2] [2,3,7,6,5,4,1,8]=>0011110=>[3,1,1,1,2] [2,3,6,7,5,4,1,8]=>0001110=>[4,1,1,2] [2,3,5,7,6,4,1,8]=>0001110=>[4,1,1,2] [2,3,6,5,7,4,1,8]=>0010110=>[3,2,1,2] [2,3,5,6,7,4,1,8]=>0000110=>[5,1,2] [4,3,2,6,7,5,1,8]=>1100110=>[1,1,3,1,2] [3,4,2,7,6,5,1,8]=>0101110=>[2,2,1,1,2] [3,4,2,6,7,5,1,8]=>0100110=>[2,3,1,2] [3,2,4,6,7,5,1,8]=>1000110=>[1,4,1,2] [2,3,4,7,6,5,1,8]=>0001110=>[4,1,1,2] [2,3,4,6,7,5,1,8]=>0000110=>[5,1,2] [5,4,3,2,7,6,1,8]=>1110110=>[1,1,1,2,1,2] [4,5,3,2,7,6,1,8]=>0110110=>[2,1,2,1,2] [3,5,4,2,7,6,1,8]=>0110110=>[2,1,2,1,2] [4,3,5,2,7,6,1,8]=>1010110=>[1,2,2,1,2] [3,4,5,2,7,6,1,8]=>0010110=>[3,2,1,2] [3,2,5,4,7,6,1,8]=>1010110=>[1,2,2,1,2] [4,3,2,5,7,6,1,8]=>1100110=>[1,1,3,1,2] [3,4,2,5,7,6,1,8]=>0100110=>[2,3,1,2] [2,3,4,5,7,6,1,8]=>0000110=>[5,1,2] [3,6,5,4,2,7,1,8]=>0111010=>[2,1,1,2,2] [3,5,6,4,2,7,1,8]=>0011010=>[3,1,2,2] [3,4,6,5,2,7,1,8]=>0011010=>[3,1,2,2] [3,5,4,6,2,7,1,8]=>0101010=>[2,2,2,2] [2,5,4,6,3,7,1,8]=>0101010=>[2,2,2,2] [3,2,6,5,4,7,1,8]=>1011010=>[1,2,1,2,2] [2,3,5,6,4,7,1,8]=>0001010=>[4,2,2] [4,3,2,6,5,7,1,8]=>1101010=>[1,1,2,2,2] [3,4,2,6,5,7,1,8]=>0101010=>[2,2,2,2] [2,4,3,6,5,7,1,8]=>0101010=>[2,2,2,2] [2,3,4,6,5,7,1,8]=>0001010=>[4,2,2] [3,5,4,2,6,7,1,8]=>0110010=>[2,1,3,2] [2,5,4,3,6,7,1,8]=>0110010=>[2,1,3,2] [2,4,5,3,6,7,1,8]=>0010010=>[3,3,2] [2,3,5,4,6,7,1,8]=>0010010=>[3,3,2] [1,7,6,5,4,3,2,8]=>0111110=>[2,1,1,1,1,2] [1,6,7,5,4,3,2,8]=>0011110=>[3,1,1,1,2] [1,6,5,7,4,3,2,8]=>0101110=>[2,2,1,1,2] [1,5,6,7,4,3,2,8]=>0001110=>[4,1,1,2] [1,4,7,6,5,3,2,8]=>0011110=>[3,1,1,1,2] [1,4,6,7,5,3,2,8]=>0001110=>[4,1,1,2] [1,5,4,7,6,3,2,8]=>0101110=>[2,2,1,1,2] [1,5,6,4,7,3,2,8]=>0010110=>[3,2,1,2] [1,4,6,5,7,3,2,8]=>0010110=>[3,2,1,2] [1,5,4,6,7,3,2,8]=>0100110=>[2,3,1,2] [1,4,5,6,7,3,2,8]=>0000110=>[5,1,2] [1,3,7,6,5,4,2,8]=>0011110=>[3,1,1,1,2] [1,3,6,7,5,4,2,8]=>0001110=>[4,1,1,2] [1,3,5,7,6,4,2,8]=>0001110=>[4,1,1,2] [1,3,6,5,7,4,2,8]=>0010110=>[3,2,1,2] [1,3,5,6,7,4,2,8]=>0000110=>[5,1,2] [1,3,4,6,7,5,2,8]=>0000110=>[5,1,2] [1,3,5,4,7,6,2,8]=>0010110=>[3,2,1,2] [1,4,3,5,7,6,2,8]=>0100110=>[2,3,1,2] [1,3,4,5,7,6,2,8]=>0000110=>[5,1,2] [1,5,4,6,3,7,2,8]=>0101010=>[2,2,2,2] [1,4,5,6,3,7,2,8]=>0001010=>[4,2,2] [1,3,6,5,4,7,2,8]=>0011010=>[3,1,2,2] [1,3,5,6,4,7,2,8]=>0001010=>[4,2,2] [1,4,3,6,5,7,2,8]=>0101010=>[2,2,2,2] [1,3,4,6,5,7,2,8]=>0001010=>[4,2,2] [1,5,4,3,6,7,2,8]=>0110010=>[2,1,3,2] [1,4,5,3,6,7,2,8]=>0010010=>[3,3,2] [1,3,5,4,6,7,2,8]=>0010010=>[3,3,2] [1,3,4,5,6,7,2,8]=>0000010=>[6,2] [2,1,7,6,5,4,3,8]=>1011110=>[1,2,1,1,1,2] [2,1,6,7,5,4,3,8]=>1001110=>[1,3,1,1,2] [2,1,5,6,7,4,3,8]=>1000110=>[1,4,1,2] [2,1,4,6,7,5,3,8]=>1000110=>[1,4,1,2] [2,1,4,5,6,7,3,8]=>1000010=>[1,5,2] [1,2,7,6,5,4,3,8]=>0011110=>[3,1,1,1,2] [1,2,6,7,5,4,3,8]=>0001110=>[4,1,1,2] [1,2,5,7,6,4,3,8]=>0001110=>[4,1,1,2] [1,2,5,6,7,4,3,8]=>0000110=>[5,1,2] [1,2,4,6,7,5,3,8]=>0000110=>[5,1,2] [1,2,5,6,4,7,3,8]=>0001010=>[4,2,2] [1,2,5,4,6,7,3,8]=>0010010=>[3,3,2] [1,2,4,5,6,7,3,8]=>0000010=>[6,2] [3,2,1,7,6,5,4,8]=>1101110=>[1,1,2,1,1,2] [3,2,1,6,7,5,4,8]=>1100110=>[1,1,3,1,2] [3,2,1,5,7,6,4,8]=>1100110=>[1,1,3,1,2] [3,2,1,5,6,7,4,8]=>1100010=>[1,1,4,2] [2,3,1,6,7,5,4,8]=>0100110=>[2,3,1,2] [2,3,1,6,5,7,4,8]=>0101010=>[2,2,2,2] [2,3,1,5,6,7,4,8]=>0100010=>[2,4,2] [1,3,2,7,6,5,4,8]=>0101110=>[2,2,1,1,2] [1,3,2,6,7,5,4,8]=>0100110=>[2,3,1,2] [1,3,2,5,7,6,4,8]=>0100110=>[2,3,1,2] [1,3,2,6,5,7,4,8]=>0101010=>[2,2,2,2] [1,3,2,5,6,7,4,8]=>0100010=>[2,4,2] [2,1,3,6,7,5,4,8]=>1000110=>[1,4,1,2] [1,2,3,7,6,5,4,8]=>0001110=>[4,1,1,2] [1,2,3,6,7,5,4,8]=>0000110=>[5,1,2] [1,2,3,5,7,6,4,8]=>0000110=>[5,1,2] [1,2,3,6,5,7,4,8]=>0001010=>[4,2,2] [1,2,3,5,6,7,4,8]=>0000010=>[6,2] [4,3,2,1,7,6,5,8]=>1110110=>[1,1,1,2,1,2] [4,3,2,1,6,7,5,8]=>1110010=>[1,1,1,3,2] [3,2,4,1,7,6,5,8]=>1010110=>[1,2,2,1,2] [3,2,4,1,6,7,5,8]=>1010010=>[1,2,3,2] [2,3,4,1,7,6,5,8]=>0010110=>[3,2,1,2] [2,3,4,1,6,7,5,8]=>0010010=>[3,3,2] [1,4,3,2,7,6,5,8]=>0110110=>[2,1,2,1,2] [1,4,3,2,6,7,5,8]=>0110010=>[2,1,3,2] [1,3,4,2,6,7,5,8]=>0010010=>[3,3,2] [1,2,4,3,6,7,5,8]=>0010010=>[3,3,2] [3,2,1,4,7,6,5,8]=>1100110=>[1,1,3,1,2] [2,3,1,4,6,7,5,8]=>0100010=>[2,4,2] [1,3,2,4,7,6,5,8]=>0100110=>[2,3,1,2] [2,1,3,4,6,7,5,8]=>1000010=>[1,5,2] [1,2,3,4,7,6,5,8]=>0000110=>[5,1,2] [1,2,3,4,6,7,5,8]=>0000010=>[6,2] [5,4,3,2,1,7,6,8]=>1111010=>[1,1,1,1,2,2] [4,5,3,2,1,7,6,8]=>0111010=>[2,1,1,2,2] [3,5,4,2,1,7,6,8]=>0111010=>[2,1,1,2,2] [3,4,5,2,1,7,6,8]=>0011010=>[3,1,2,2] [2,5,4,3,1,7,6,8]=>0111010=>[2,1,1,2,2] [2,4,5,3,1,7,6,8]=>0011010=>[3,1,2,2] [3,2,5,4,1,7,6,8]=>1011010=>[1,2,1,2,2] [2,3,5,4,1,7,6,8]=>0011010=>[3,1,2,2] [3,4,2,5,1,7,6,8]=>0101010=>[2,2,2,2] [2,4,3,5,1,7,6,8]=>0101010=>[2,2,2,2] [2,3,4,5,1,7,6,8]=>0001010=>[4,2,2] [1,5,4,3,2,7,6,8]=>0111010=>[2,1,1,2,2] [1,4,5,3,2,7,6,8]=>0011010=>[3,1,2,2] [1,3,5,4,2,7,6,8]=>0011010=>[3,1,2,2] [1,4,3,5,2,7,6,8]=>0101010=>[2,2,2,2] [1,3,4,5,2,7,6,8]=>0001010=>[4,2,2] [2,1,5,4,3,7,6,8]=>1011010=>[1,2,1,2,2] [1,2,4,5,3,7,6,8]=>0001010=>[4,2,2] [3,2,1,5,4,7,6,8]=>1101010=>[1,1,2,2,2] [2,3,1,5,4,7,6,8]=>0101010=>[2,2,2,2] [1,3,2,5,4,7,6,8]=>0101010=>[2,2,2,2] [1,2,3,5,4,7,6,8]=>0001010=>[4,2,2] [4,3,2,1,5,7,6,8]=>1110010=>[1,1,1,3,2] [3,2,4,1,5,7,6,8]=>1010010=>[1,2,3,2] [2,3,4,1,5,7,6,8]=>0010010=>[3,3,2] [1,4,3,2,5,7,6,8]=>0110010=>[2,1,3,2] [1,3,4,2,5,7,6,8]=>0010010=>[3,3,2] [1,2,4,3,5,7,6,8]=>0010010=>[3,3,2] [2,3,1,4,5,7,6,8]=>0100010=>[2,4,2] [1,3,2,4,5,7,6,8]=>0100010=>[2,4,2] [2,1,3,4,5,7,6,8]=>1000010=>[1,5,2] [1,2,3,4,5,7,6,8]=>0000010=>[6,2] [3,6,5,4,2,1,7,8]=>0111100=>[2,1,1,1,3] [4,3,6,5,2,1,7,8]=>1011100=>[1,2,1,1,3] [2,4,6,5,3,1,7,8]=>0011100=>[3,1,1,3] [2,4,5,6,3,1,7,8]=>0001100=>[4,1,3] [2,3,6,5,4,1,7,8]=>0011100=>[3,1,1,3] [2,3,5,6,4,1,7,8]=>0001100=>[4,1,3] [4,3,2,6,5,1,7,8]=>1101100=>[1,1,2,1,3] [2,4,3,6,5,1,7,8]=>0101100=>[2,2,1,3] [2,3,4,6,5,1,7,8]=>0001100=>[4,1,3] [3,5,4,2,6,1,7,8]=>0110100=>[2,1,2,3] [2,3,5,4,6,1,7,8]=>0010100=>[3,2,3] [1,6,5,4,3,2,7,8]=>0111100=>[2,1,1,1,3] [1,5,6,4,3,2,7,8]=>0011100=>[3,1,1,3] [1,4,6,5,3,2,7,8]=>0011100=>[3,1,1,3] [1,5,4,6,3,2,7,8]=>0101100=>[2,2,1,3] [1,4,5,6,3,2,7,8]=>0001100=>[4,1,3] [1,3,5,6,4,2,7,8]=>0001100=>[4,1,3] [1,4,3,6,5,2,7,8]=>0101100=>[2,2,1,3] [1,5,4,3,6,2,7,8]=>0110100=>[2,1,2,3] [1,4,5,3,6,2,7,8]=>0010100=>[3,2,3] [1,3,5,4,6,2,7,8]=>0010100=>[3,2,3] [1,4,3,5,6,2,7,8]=>0100100=>[2,3,3] [1,3,4,5,6,2,7,8]=>0000100=>[5,3] [2,1,5,6,4,3,7,8]=>1001100=>[1,3,1,3] [2,1,4,6,5,3,7,8]=>1001100=>[1,3,1,3] [1,2,6,5,4,3,7,8]=>0011100=>[3,1,1,3] [1,2,5,6,4,3,7,8]=>0001100=>[4,1,3] [1,2,4,6,5,3,7,8]=>0001100=>[4,1,3] [1,2,4,5,6,3,7,8]=>0000100=>[5,3] [3,2,1,6,5,4,7,8]=>1101100=>[1,1,2,1,3] [3,2,1,5,6,4,7,8]=>1100100=>[1,1,3,3] [2,3,1,6,5,4,7,8]=>0101100=>[2,2,1,3] [2,3,1,5,6,4,7,8]=>0100100=>[2,3,3] [1,3,2,6,5,4,7,8]=>0101100=>[2,2,1,3] [1,3,2,5,6,4,7,8]=>0100100=>[2,3,3] [1,2,3,6,5,4,7,8]=>0001100=>[4,1,3] [1,2,3,5,6,4,7,8]=>0000100=>[5,3] [4,3,2,1,6,5,7,8]=>1110100=>[1,1,1,2,3] [2,4,3,1,6,5,7,8]=>0110100=>[2,1,2,3] [3,2,4,1,6,5,7,8]=>1010100=>[1,2,2,3] [2,3,4,1,6,5,7,8]=>0010100=>[3,2,3] [2,1,4,3,6,5,7,8]=>1010100=>[1,2,2,3] [1,2,4,3,6,5,7,8]=>0010100=>[3,2,3] [1,3,2,4,6,5,7,8]=>0100100=>[2,3,3] [2,1,3,4,6,5,7,8]=>1000100=>[1,4,3] [1,2,3,4,6,5,7,8]=>0000100=>[5,3] [3,5,4,2,1,6,7,8]=>0111000=>[2,1,1,4] [2,5,4,3,1,6,7,8]=>0111000=>[2,1,1,4] [2,4,5,3,1,6,7,8]=>0011000=>[3,1,4] [3,2,5,4,1,6,7,8]=>1011000=>[1,2,1,4] [2,3,5,4,1,6,7,8]=>0011000=>[3,1,4] [2,4,3,5,1,6,7,8]=>0101000=>[2,2,4] [1,5,4,3,2,6,7,8]=>0111000=>[2,1,1,4] [1,4,5,3,2,6,7,8]=>0011000=>[3,1,4] [1,3,5,4,2,6,7,8]=>0011000=>[3,1,4] [1,3,4,5,2,6,7,8]=>0001000=>[4,4] [2,1,5,4,3,6,7,8]=>1011000=>[1,2,1,4] [2,1,4,5,3,6,7,8]=>1001000=>[1,3,4] [1,2,5,4,3,6,7,8]=>0011000=>[3,1,4] [3,2,1,5,4,6,7,8]=>1101000=>[1,1,2,4] [2,3,1,5,4,6,7,8]=>0101000=>[2,2,4] [1,3,2,5,4,6,7,8]=>0101000=>[2,2,4] [1,2,3,5,4,6,7,8]=>0001000=>[4,4] [2,4,3,1,5,6,7,8]=>0110000=>[2,1,5] [1,4,3,2,5,6,7,8]=>0110000=>[2,1,5] [1,3,4,2,5,6,7,8]=>0010000=>[3,5] [2,1,4,3,5,6,7,8]=>1010000=>[1,2,5] [1,2,4,3,5,6,7,8]=>0010000=>[3,5] [1,3,2,4,5,6,7,8]=>0100000=>[2,6] [1,2,3,4,8,6,7,5]=>0000101=>[5,2,1] [1,2,3,5,8,6,7,4]=>0000101=>[5,2,1] [1,2,3,7,5,6,4,8]=>0001010=>[4,2,2] [1,2,3,7,5,6,8,4]=>0001001=>[4,3,1] [1,2,3,8,5,6,7,4]=>0001001=>[4,3,1] [1,2,3,8,5,7,6,4]=>0001011=>[4,2,1,1] [1,2,3,8,6,5,7,4]=>0001101=>[4,1,2,1] [1,2,3,8,6,7,5,4]=>0001011=>[4,2,1,1] [1,2,4,5,8,6,7,3]=>0000101=>[5,2,1] [1,2,4,7,5,6,8,3]=>0001001=>[4,3,1] [1,2,4,8,5,6,7,3]=>0001001=>[4,3,1] [1,2,4,8,6,5,7,3]=>0001101=>[4,1,2,1] [1,2,5,4,8,6,7,3]=>0010101=>[3,2,2,1] [1,2,6,4,5,3,7,8]=>0010100=>[3,2,3] [1,2,6,4,5,7,8,3]=>0010001=>[3,4,1] [1,2,6,4,5,8,7,3]=>0010011=>[3,3,1,1] [1,2,7,4,5,6,8,3]=>0010001=>[3,4,1] [1,2,8,4,5,6,7,3]=>0010001=>[3,4,1] [1,2,8,4,6,7,5,3]=>0010011=>[3,3,1,1] [1,2,8,4,7,6,5,3]=>0010111=>[3,2,1,1,1] [1,2,7,5,4,6,3,8]=>0011010=>[3,1,2,2] [1,2,7,5,4,6,8,3]=>0011001=>[3,1,3,1] [1,2,8,5,4,6,7,3]=>0011001=>[3,1,3,1] [1,2,8,5,4,7,6,3]=>0011011=>[3,1,2,1,1] [1,2,8,5,6,4,7,3]=>0010101=>[3,2,2,1] [1,2,8,5,6,7,4,3]=>0010011=>[3,3,1,1] [1,2,8,6,5,4,7,3]=>0011101=>[3,1,1,2,1] [1,2,8,6,5,7,4,3]=>0011011=>[3,1,2,1,1] [1,2,8,7,5,6,4,3]=>0011011=>[3,1,2,1,1] [1,3,2,4,8,6,7,5]=>0100101=>[2,3,2,1] [1,3,2,7,5,6,8,4]=>0101001=>[2,2,3,1] [1,3,2,8,5,7,6,4]=>0101011=>[2,2,2,1,1] [1,3,2,8,6,5,7,4]=>0101101=>[2,2,1,2,1] [1,3,2,8,6,7,5,4]=>0101011=>[2,2,2,1,1] [1,3,4,2,8,6,7,5]=>0010101=>[3,2,2,1] [1,3,4,5,8,6,7,2]=>0000101=>[5,2,1] [1,3,4,8,5,6,7,2]=>0001001=>[4,3,1] [1,3,4,8,6,5,7,2]=>0001101=>[4,1,2,1] [1,3,4,8,6,7,5,2]=>0001011=>[4,2,1,1] [1,3,6,4,5,2,8,7]=>0010101=>[3,2,2,1] [1,3,6,4,5,7,2,8]=>0010010=>[3,3,2] [1,3,6,4,5,7,8,2]=>0010001=>[3,4,1] [1,3,6,4,5,8,7,2]=>0010011=>[3,3,1,1] [1,3,7,4,5,6,2,8]=>0010010=>[3,3,2] [1,3,7,4,5,6,8,2]=>0010001=>[3,4,1] [1,3,8,4,5,6,7,2]=>0010001=>[3,4,1] [1,3,8,4,6,5,7,2]=>0010101=>[3,2,2,1] [1,3,8,5,4,6,7,2]=>0011001=>[3,1,3,1] [1,3,8,5,4,7,6,2]=>0011011=>[3,1,2,1,1] [1,3,8,5,6,7,4,2]=>0010011=>[3,3,1,1] [1,3,8,5,7,6,4,2]=>0010111=>[3,2,1,1,1] [1,3,8,6,5,7,4,2]=>0011011=>[3,1,2,1,1] [1,3,8,7,5,6,4,2]=>0011011=>[3,1,2,1,1] [1,4,3,5,8,6,7,2]=>0100101=>[2,3,2,1] [1,4,3,8,5,6,7,2]=>0101001=>[2,2,3,1] [1,4,3,8,5,7,6,2]=>0101011=>[2,2,2,1,1] [1,4,3,8,6,5,7,2]=>0101101=>[2,2,1,2,1] [1,4,3,8,6,7,5,2]=>0101011=>[2,2,2,1,1] [1,5,3,4,2,6,7,8]=>0101000=>[2,2,4] [1,5,3,4,2,7,8,6]=>0101001=>[2,2,3,1] [1,5,3,4,2,8,7,6]=>0101011=>[2,2,2,1,1] [1,5,3,4,6,2,7,8]=>0100100=>[2,3,3] [1,5,3,4,6,2,8,7]=>0100101=>[2,3,2,1] [1,5,3,4,6,7,2,8]=>0100010=>[2,4,2] [1,5,3,4,6,7,8,2]=>0100001=>[2,5,1] [1,5,3,4,7,6,2,8]=>0100110=>[2,3,1,2] [1,5,3,4,8,6,7,2]=>0100101=>[2,3,2,1] [1,6,3,4,5,2,7,8]=>0100100=>[2,3,3] [1,6,3,4,5,8,7,2]=>0100011=>[2,4,1,1] [1,7,3,4,5,6,2,8]=>0100010=>[2,4,2] [1,7,3,4,5,6,8,2]=>0100001=>[2,5,1] [1,8,3,4,5,6,7,2]=>0100001=>[2,5,1] [1,8,3,4,6,7,5,2]=>0100011=>[2,4,1,1] [1,6,3,5,4,2,7,8]=>0101100=>[2,2,1,3] [1,6,3,5,4,8,7,2]=>0101011=>[2,2,2,1,1] [1,7,3,5,4,6,2,8]=>0101010=>[2,2,2,2] [1,8,3,5,4,6,7,2]=>0101001=>[2,2,3,1] [1,8,3,5,4,7,6,2]=>0101011=>[2,2,2,1,1] [1,8,3,5,6,4,7,2]=>0100101=>[2,3,2,1] [1,8,3,5,6,7,4,2]=>0100011=>[2,4,1,1] [1,8,3,5,7,6,4,2]=>0100111=>[2,3,1,1,1] [1,7,3,6,5,4,2,8]=>0101110=>[2,2,1,1,2] [1,7,3,6,5,4,8,2]=>0101101=>[2,2,1,2,1] [1,8,3,6,5,4,7,2]=>0101101=>[2,2,1,2,1] [1,8,3,7,5,6,4,2]=>0101011=>[2,2,2,1,1] [1,8,3,7,6,5,4,2]=>0101111=>[2,2,1,1,1,1] [1,6,4,3,5,2,7,8]=>0110100=>[2,1,2,3] [1,6,4,3,5,8,7,2]=>0110011=>[2,1,3,1,1] [1,8,4,3,5,6,7,2]=>0110001=>[2,1,4,1] [1,8,4,3,5,7,6,2]=>0110011=>[2,1,3,1,1] [1,7,4,3,6,5,8,2]=>0110101=>[2,1,2,2,1] [1,8,4,3,6,5,7,2]=>0110101=>[2,1,2,2,1] [1,8,4,3,6,7,5,2]=>0110011=>[2,1,3,1,1] [1,6,4,5,3,2,7,8]=>0101100=>[2,2,1,3] [1,6,4,5,3,2,8,7]=>0101101=>[2,2,1,2,1] [1,6,4,5,3,8,7,2]=>0101011=>[2,2,2,1,1] [1,7,4,5,3,6,8,2]=>0101001=>[2,2,3,1] [1,8,4,5,3,6,7,2]=>0101001=>[2,2,3,1] [1,7,4,5,6,3,2,8]=>0100110=>[2,3,1,2] [1,7,4,5,6,3,8,2]=>0100101=>[2,3,2,1] [1,8,4,5,6,3,7,2]=>0100101=>[2,3,2,1] [1,8,4,5,6,7,3,2]=>0100011=>[2,4,1,1] [1,7,4,6,5,3,2,8]=>0101110=>[2,2,1,1,2] [1,8,4,6,5,3,7,2]=>0101101=>[2,2,1,2,1] [1,8,4,6,5,7,3,2]=>0101011=>[2,2,2,1,1] [1,8,4,7,6,5,3,2]=>0101111=>[2,2,1,1,1,1] [1,7,5,4,3,6,2,8]=>0111010=>[2,1,1,2,2] [1,7,5,4,3,6,8,2]=>0111001=>[2,1,1,3,1] [1,8,5,4,3,6,7,2]=>0111001=>[2,1,1,3,1] [1,8,5,4,3,7,6,2]=>0111011=>[2,1,1,2,1,1] [1,8,5,4,6,3,7,2]=>0110101=>[2,1,2,2,1] [1,8,5,4,6,7,3,2]=>0110011=>[2,1,3,1,1] [1,8,5,4,7,6,3,2]=>0110111=>[2,1,2,1,1,1] [1,7,6,4,5,3,2,8]=>0110110=>[2,1,2,1,2] [1,8,6,4,5,3,7,2]=>0110101=>[2,1,2,2,1] [1,8,6,4,5,7,3,2]=>0110011=>[2,1,3,1,1] [1,8,7,4,5,6,3,2]=>0110011=>[2,1,3,1,1] [1,8,7,4,6,5,3,2]=>0110111=>[2,1,2,1,1,1] [1,8,6,5,4,3,7,2]=>0111101=>[2,1,1,1,2,1] [1,8,6,5,4,7,3,2]=>0111011=>[2,1,1,2,1,1] [1,8,7,5,4,6,3,2]=>0111011=>[2,1,1,2,1,1] [1,8,7,5,6,4,3,2]=>0110111=>[2,1,2,1,1,1] [2,1,3,4,8,6,7,5]=>1000101=>[1,4,2,1] [2,1,3,5,8,6,7,4]=>1000101=>[1,4,2,1] [2,1,3,8,5,6,7,4]=>1001001=>[1,3,3,1] [2,1,3,8,5,7,6,4]=>1001011=>[1,3,2,1,1] [2,1,3,8,6,5,7,4]=>1001101=>[1,3,1,2,1] [2,1,3,8,6,7,5,4]=>1001011=>[1,3,2,1,1] [2,1,4,3,8,6,7,5]=>1010101=>[1,2,2,2,1] [2,1,4,5,8,6,7,3]=>1000101=>[1,4,2,1] [2,1,4,8,5,6,7,3]=>1001001=>[1,3,3,1] [2,1,4,8,5,7,6,3]=>1001011=>[1,3,2,1,1] [2,1,4,8,6,5,7,3]=>1001101=>[1,3,1,2,1] [2,1,4,8,6,7,5,3]=>1001011=>[1,3,2,1,1] [2,1,5,4,8,6,7,3]=>1010101=>[1,2,2,2,1] [2,1,6,4,5,3,8,7]=>1010101=>[1,2,2,2,1] [2,1,6,4,5,7,8,3]=>1010001=>[1,2,4,1] [2,1,6,4,5,8,7,3]=>1010011=>[1,2,3,1,1] [2,1,8,4,5,6,7,3]=>1010001=>[1,2,4,1] [2,1,8,4,5,7,6,3]=>1010011=>[1,2,3,1,1] [2,1,7,4,6,5,8,3]=>1010101=>[1,2,2,2,1] [2,1,8,4,6,5,7,3]=>1010101=>[1,2,2,2,1] [2,1,8,4,6,7,5,3]=>1010011=>[1,2,3,1,1] [2,1,8,4,7,6,5,3]=>1010111=>[1,2,2,1,1,1] [2,1,7,5,4,6,8,3]=>1011001=>[1,2,1,3,1] [2,1,8,5,4,6,7,3]=>1011001=>[1,2,1,3,1] [2,1,8,5,4,7,6,3]=>1011011=>[1,2,1,2,1,1] [2,1,7,5,6,4,8,3]=>1010101=>[1,2,2,2,1] [2,1,8,5,6,4,7,3]=>1010101=>[1,2,2,2,1] [2,1,8,5,6,7,4,3]=>1010011=>[1,2,3,1,1] [2,1,8,5,7,6,4,3]=>1010111=>[1,2,2,1,1,1] [2,1,8,6,5,4,7,3]=>1011101=>[1,2,1,1,2,1] [2,1,8,6,5,7,4,3]=>1011011=>[1,2,1,2,1,1] [2,1,8,7,5,6,4,3]=>1011011=>[1,2,1,2,1,1] [2,3,1,7,5,6,4,8]=>0101010=>[2,2,2,2] [2,3,1,8,5,6,7,4]=>0101001=>[2,2,3,1] [2,3,1,8,6,7,5,4]=>0101011=>[2,2,2,1,1] [2,3,4,1,8,6,7,5]=>0010101=>[3,2,2,1] [2,3,4,5,8,6,7,1]=>0000101=>[5,2,1] [2,3,4,7,5,6,1,8]=>0001010=>[4,2,2] [2,3,4,7,5,6,8,1]=>0001001=>[4,3,1] [2,3,4,8,5,6,7,1]=>0001001=>[4,3,1] [2,3,4,8,5,7,6,1]=>0001011=>[4,2,1,1] [2,3,4,8,6,5,7,1]=>0001101=>[4,1,2,1] [2,3,4,8,6,7,5,1]=>0001011=>[4,2,1,1] [2,3,5,4,8,6,7,1]=>0010101=>[3,2,2,1] [2,3,6,4,5,1,7,8]=>0010100=>[3,2,3] [2,3,6,4,5,1,8,7]=>0010101=>[3,2,2,1] [2,3,6,4,5,7,8,1]=>0010001=>[3,4,1] [2,3,6,4,5,8,7,1]=>0010011=>[3,3,1,1] [2,3,7,4,5,6,8,1]=>0010001=>[3,4,1] [2,3,8,4,5,6,7,1]=>0010001=>[3,4,1] [2,3,7,4,6,5,8,1]=>0010101=>[3,2,2,1] [2,3,8,4,6,7,5,1]=>0010011=>[3,3,1,1] [2,3,7,5,4,6,1,8]=>0011010=>[3,1,2,2] [2,3,7,5,4,6,8,1]=>0011001=>[3,1,3,1] [2,3,8,5,4,6,7,1]=>0011001=>[3,1,3,1] [2,3,7,5,6,4,1,8]=>0010110=>[3,2,1,2] [2,3,7,5,6,4,8,1]=>0010101=>[3,2,2,1] [2,3,8,5,6,4,7,1]=>0010101=>[3,2,2,1] [2,3,8,5,6,7,4,1]=>0010011=>[3,3,1,1] [2,3,8,5,7,6,4,1]=>0010111=>[3,2,1,1,1] [2,3,8,6,5,4,7,1]=>0011101=>[3,1,1,2,1] [2,4,3,1,8,6,7,5]=>0110101=>[2,1,2,2,1] [2,4,3,5,8,6,7,1]=>0100101=>[2,3,2,1] [2,4,3,7,5,6,8,1]=>0101001=>[2,2,3,1] [2,4,3,8,5,6,7,1]=>0101001=>[2,2,3,1] [2,4,3,8,5,7,6,1]=>0101011=>[2,2,2,1,1] [2,4,3,8,6,5,7,1]=>0101101=>[2,2,1,2,1] [2,4,3,8,6,7,5,1]=>0101011=>[2,2,2,1,1] [2,5,3,4,1,6,7,8]=>0101000=>[2,2,4] [2,5,3,4,1,8,7,6]=>0101011=>[2,2,2,1,1] [2,5,3,4,6,7,1,8]=>0100010=>[2,4,2] [2,5,3,4,6,7,8,1]=>0100001=>[2,5,1] [2,5,3,4,6,8,7,1]=>0100011=>[2,4,1,1] [2,5,3,4,7,6,8,1]=>0100101=>[2,3,2,1] [2,5,3,4,8,6,7,1]=>0100101=>[2,3,2,1] [2,5,3,4,8,7,6,1]=>0100111=>[2,3,1,1,1] [2,6,3,4,5,1,7,8]=>0100100=>[2,3,3] [2,6,3,4,5,7,8,1]=>0100001=>[2,5,1] [2,6,3,4,5,8,7,1]=>0100011=>[2,4,1,1] [2,7,3,4,5,6,1,8]=>0100010=>[2,4,2] [2,8,3,4,5,6,7,1]=>0100001=>[2,5,1] [2,8,3,4,5,7,6,1]=>0100011=>[2,4,1,1] [2,6,3,5,4,1,7,8]=>0101100=>[2,2,1,3] [2,6,3,5,4,1,8,7]=>0101101=>[2,2,1,2,1] [2,6,3,5,4,7,8,1]=>0101001=>[2,2,3,1] [2,6,3,5,4,8,7,1]=>0101011=>[2,2,2,1,1] [2,7,3,5,4,6,8,1]=>0101001=>[2,2,3,1] [2,8,3,5,4,7,6,1]=>0101011=>[2,2,2,1,1] [2,7,3,5,6,4,8,1]=>0100101=>[2,3,2,1] [2,8,3,5,6,7,4,1]=>0100011=>[2,4,1,1] [2,8,3,5,7,6,4,1]=>0100111=>[2,3,1,1,1] [2,7,3,6,5,4,1,8]=>0101110=>[2,2,1,1,2] [2,8,3,7,5,6,4,1]=>0101011=>[2,2,2,1,1] [2,8,3,7,6,5,4,1]=>0101111=>[2,2,1,1,1,1] [2,5,4,3,8,6,7,1]=>0110101=>[2,1,2,2,1] [2,6,4,3,5,1,8,7]=>0110101=>[2,1,2,2,1] [2,6,4,3,5,7,8,1]=>0110001=>[2,1,4,1] [2,6,4,3,5,8,7,1]=>0110011=>[2,1,3,1,1] [2,7,4,3,5,6,8,1]=>0110001=>[2,1,4,1] [2,8,4,3,5,6,7,1]=>0110001=>[2,1,4,1] [2,8,4,3,5,7,6,1]=>0110011=>[2,1,3,1,1] [2,7,4,3,6,5,8,1]=>0110101=>[2,1,2,2,1] [2,8,4,3,6,5,7,1]=>0110101=>[2,1,2,2,1] [2,8,4,3,6,7,5,1]=>0110011=>[2,1,3,1,1] [2,8,4,3,7,6,5,1]=>0110111=>[2,1,2,1,1,1] [2,6,4,5,3,1,7,8]=>0101100=>[2,2,1,3] [2,6,4,5,3,1,8,7]=>0101101=>[2,2,1,2,1] [2,6,4,5,3,7,8,1]=>0101001=>[2,2,3,1] [2,6,4,5,3,8,7,1]=>0101011=>[2,2,2,1,1] [2,8,4,5,3,6,7,1]=>0101001=>[2,2,3,1] [2,7,4,5,6,3,1,8]=>0100110=>[2,3,1,2] [2,7,4,5,6,3,8,1]=>0100101=>[2,3,2,1] [2,8,4,5,6,3,7,1]=>0100101=>[2,3,2,1] [2,8,4,5,6,7,3,1]=>0100011=>[2,4,1,1] [2,7,4,6,5,3,1,8]=>0101110=>[2,2,1,1,2] [2,7,4,6,5,3,8,1]=>0101101=>[2,2,1,2,1] [2,8,4,6,5,3,7,1]=>0101101=>[2,2,1,2,1] [2,8,4,7,6,5,3,1]=>0101111=>[2,2,1,1,1,1] [2,7,5,4,3,6,8,1]=>0111001=>[2,1,1,3,1] [2,8,5,4,3,6,7,1]=>0111001=>[2,1,1,3,1] [2,8,5,4,3,7,6,1]=>0111011=>[2,1,1,2,1,1] [2,7,5,4,6,3,8,1]=>0110101=>[2,1,2,2,1] [2,8,5,4,6,7,3,1]=>0110011=>[2,1,3,1,1] [2,8,5,4,7,6,3,1]=>0110111=>[2,1,2,1,1,1] [2,7,6,4,5,3,8,1]=>0110101=>[2,1,2,2,1] [2,8,7,4,5,6,3,1]=>0110011=>[2,1,3,1,1] [2,8,7,4,6,5,3,1]=>0110111=>[2,1,2,1,1,1] [2,8,7,5,4,6,3,1]=>0111011=>[2,1,1,2,1,1] [2,8,7,5,6,4,3,1]=>0110111=>[2,1,2,1,1,1] [3,2,1,4,8,6,7,5]=>1100101=>[1,1,3,2,1] [3,2,1,5,8,6,7,4]=>1100101=>[1,1,3,2,1] [3,2,1,7,5,6,8,4]=>1101001=>[1,1,2,3,1] [3,2,1,8,5,6,7,4]=>1101001=>[1,1,2,3,1] [3,2,1,8,5,7,6,4]=>1101011=>[1,1,2,2,1,1] [3,2,1,8,6,5,7,4]=>1101101=>[1,1,2,1,2,1] [3,2,1,8,6,7,5,4]=>1101011=>[1,1,2,2,1,1] [3,2,4,1,8,6,7,5]=>1010101=>[1,2,2,2,1] [3,2,4,5,8,6,7,1]=>1000101=>[1,4,2,1] [3,2,4,7,5,6,8,1]=>1001001=>[1,3,3,1] [3,2,4,8,5,6,7,1]=>1001001=>[1,3,3,1] [3,2,4,8,6,7,5,1]=>1001011=>[1,3,2,1,1] [3,2,5,4,8,6,7,1]=>1010101=>[1,2,2,2,1] [3,2,6,4,5,1,8,7]=>1010101=>[1,2,2,2,1] [3,2,6,4,5,7,1,8]=>1010010=>[1,2,3,2] [3,2,7,4,5,6,1,8]=>1010010=>[1,2,3,2] [3,2,8,4,5,6,7,1]=>1010001=>[1,2,4,1] [3,2,7,4,6,5,1,8]=>1010110=>[1,2,2,1,2] [3,2,7,4,6,5,8,1]=>1010101=>[1,2,2,2,1] [3,2,8,4,6,5,7,1]=>1010101=>[1,2,2,2,1] [3,2,7,5,4,6,1,8]=>1011010=>[1,2,1,2,2] [3,2,8,5,4,6,7,1]=>1011001=>[1,2,1,3,1] [3,2,8,5,4,7,6,1]=>1011011=>[1,2,1,2,1,1] [3,2,7,5,6,4,1,8]=>1010110=>[1,2,2,1,2] [3,2,7,5,6,4,8,1]=>1010101=>[1,2,2,2,1] [3,2,8,5,6,4,7,1]=>1010101=>[1,2,2,2,1] [3,2,8,5,7,6,4,1]=>1010111=>[1,2,2,1,1,1] [3,2,8,6,5,7,4,1]=>1011011=>[1,2,1,2,1,1] [3,2,8,7,5,6,4,1]=>1011011=>[1,2,1,2,1,1] [4,2,3,1,5,7,6,8]=>1010010=>[1,2,3,2] [4,2,3,1,5,7,8,6]=>1010001=>[1,2,4,1] [4,2,3,1,6,5,8,7]=>1010101=>[1,2,2,2,1] [4,2,3,1,6,7,8,5]=>1010001=>[1,2,4,1] [4,2,3,1,6,8,7,5]=>1010011=>[1,2,3,1,1] [4,2,3,1,7,6,8,5]=>1010101=>[1,2,2,2,1] [4,2,3,1,8,6,7,5]=>1010101=>[1,2,2,2,1] [4,2,3,1,8,7,6,5]=>1010111=>[1,2,2,1,1,1] [4,2,3,5,1,6,8,7]=>1001001=>[1,3,3,1] [4,2,3,5,1,7,8,6]=>1001001=>[1,3,3,1] [4,2,3,5,1,8,7,6]=>1001011=>[1,3,2,1,1] [4,2,3,5,6,1,8,7]=>1000101=>[1,4,2,1] [4,2,3,5,6,8,7,1]=>1000011=>[1,5,1,1] [4,2,3,5,7,6,1,8]=>1000110=>[1,4,1,2] [4,2,3,5,8,7,6,1]=>1000111=>[1,4,1,1,1] [4,2,3,6,5,1,7,8]=>1001100=>[1,3,1,3] [4,2,3,6,5,1,8,7]=>1001101=>[1,3,1,2,1] [4,2,3,6,5,8,7,1]=>1001011=>[1,3,2,1,1] [4,2,3,7,5,6,1,8]=>1001010=>[1,3,2,2] [4,2,3,7,5,6,8,1]=>1001001=>[1,3,3,1] [4,2,3,8,5,6,7,1]=>1001001=>[1,3,3,1] [4,2,3,8,5,7,6,1]=>1001011=>[1,3,2,1,1] [4,2,3,7,6,5,8,1]=>1001101=>[1,3,1,2,1] [4,2,3,8,6,7,5,1]=>1001011=>[1,3,2,1,1] [4,2,3,8,7,6,5,1]=>1001111=>[1,3,1,1,1,1] [5,2,3,4,1,6,8,7]=>1001001=>[1,3,3,1] [5,2,3,4,1,7,8,6]=>1001001=>[1,3,3,1] [5,2,3,4,1,8,7,6]=>1001011=>[1,3,2,1,1] [5,2,3,4,6,1,8,7]=>1000101=>[1,4,2,1] [5,2,3,4,7,6,1,8]=>1000110=>[1,4,1,2] [5,2,3,4,8,6,7,1]=>1000101=>[1,4,2,1] [5,2,3,4,8,7,6,1]=>1000111=>[1,4,1,1,1] [6,2,3,4,5,1,8,7]=>1000101=>[1,4,2,1] [6,2,3,4,5,8,7,1]=>1000011=>[1,5,1,1] [8,2,3,4,5,7,6,1]=>1000011=>[1,5,1,1] [7,2,3,4,6,5,1,8]=>1000110=>[1,4,1,2] [8,2,3,4,7,6,5,1]=>1000111=>[1,4,1,1,1] [6,2,3,5,4,1,7,8]=>1001100=>[1,3,1,3] [6,2,3,5,4,1,8,7]=>1001101=>[1,3,1,2,1] [6,2,3,5,4,7,1,8]=>1001010=>[1,3,2,2] [6,2,3,5,4,7,8,1]=>1001001=>[1,3,3,1] [7,2,3,5,4,6,1,8]=>1001010=>[1,3,2,2] [8,2,3,5,4,6,7,1]=>1001001=>[1,3,3,1] [8,2,3,5,4,7,6,1]=>1001011=>[1,3,2,1,1] [7,2,3,5,6,4,1,8]=>1000110=>[1,4,1,2] [8,2,3,5,6,7,4,1]=>1000011=>[1,5,1,1] [8,2,3,5,7,6,4,1]=>1000111=>[1,4,1,1,1] [7,2,3,6,5,4,1,8]=>1001110=>[1,3,1,1,2] [8,2,3,6,5,4,7,1]=>1001101=>[1,3,1,2,1] [8,2,3,7,5,6,4,1]=>1001011=>[1,3,2,1,1] [8,2,3,7,6,5,4,1]=>1001111=>[1,3,1,1,1,1] [5,2,4,3,1,6,7,8]=>1011000=>[1,2,1,4] [5,2,4,3,1,6,8,7]=>1011001=>[1,2,1,3,1] [5,2,4,3,1,7,6,8]=>1011010=>[1,2,1,2,2] [5,2,4,3,1,8,7,6]=>1011011=>[1,2,1,2,1,1] [5,2,4,3,6,1,7,8]=>1010100=>[1,2,2,3] [5,2,4,3,6,1,8,7]=>1010101=>[1,2,2,2,1] [5,2,4,3,6,7,1,8]=>1010010=>[1,2,3,2] [5,2,4,3,7,6,1,8]=>1010110=>[1,2,2,1,2] [5,2,4,3,7,6,8,1]=>1010101=>[1,2,2,2,1] [5,2,4,3,8,7,6,1]=>1010111=>[1,2,2,1,1,1] [6,2,4,3,5,1,8,7]=>1010101=>[1,2,2,2,1] [7,2,4,3,6,5,1,8]=>1010110=>[1,2,2,1,2] [7,2,4,3,6,5,8,1]=>1010101=>[1,2,2,2,1] [8,2,4,3,6,5,7,1]=>1010101=>[1,2,2,2,1] [8,2,4,3,6,7,5,1]=>1010011=>[1,2,3,1,1] [8,2,4,3,7,6,5,1]=>1010111=>[1,2,2,1,1,1] [6,2,4,5,3,1,7,8]=>1001100=>[1,3,1,3] [6,2,4,5,3,1,8,7]=>1001101=>[1,3,1,2,1] [6,2,4,5,3,8,7,1]=>1001011=>[1,3,2,1,1] [7,2,4,5,3,6,1,8]=>1001010=>[1,3,2,2] [7,2,4,5,3,6,8,1]=>1001001=>[1,3,3,1] [8,2,4,5,3,7,6,1]=>1001011=>[1,3,2,1,1] [8,2,4,5,6,3,7,1]=>1000101=>[1,4,2,1] [8,2,4,5,6,7,3,1]=>1000011=>[1,5,1,1] [8,2,4,5,7,6,3,1]=>1000111=>[1,4,1,1,1] [7,2,4,6,5,3,1,8]=>1001110=>[1,3,1,1,2] [7,2,4,6,5,3,8,1]=>1001101=>[1,3,1,2,1] [8,2,4,7,5,6,3,1]=>1001011=>[1,3,2,1,1] [8,2,4,7,6,5,3,1]=>1001111=>[1,3,1,1,1,1] [6,2,5,4,3,1,7,8]=>1011100=>[1,2,1,1,3] [6,2,5,4,3,1,8,7]=>1011101=>[1,2,1,1,2,1] [6,2,5,4,3,7,1,8]=>1011010=>[1,2,1,2,2] [6,2,5,4,3,7,8,1]=>1011001=>[1,2,1,3,1] [7,2,5,4,3,6,1,8]=>1011010=>[1,2,1,2,2] [8,2,5,4,3,6,7,1]=>1011001=>[1,2,1,3,1] [8,2,5,4,3,7,6,1]=>1011011=>[1,2,1,2,1,1] [7,2,5,4,6,3,8,1]=>1010101=>[1,2,2,2,1] [8,2,5,4,7,6,3,1]=>1010111=>[1,2,2,1,1,1] [7,2,6,4,5,3,1,8]=>1010110=>[1,2,2,1,2] [7,2,6,4,5,3,8,1]=>1010101=>[1,2,2,2,1] [8,2,6,4,5,3,7,1]=>1010101=>[1,2,2,2,1] [8,2,6,4,5,7,3,1]=>1010011=>[1,2,3,1,1] [8,2,7,4,5,6,3,1]=>1010011=>[1,2,3,1,1] [8,2,7,4,6,5,3,1]=>1010111=>[1,2,2,1,1,1] [7,2,6,5,4,3,1,8]=>1011110=>[1,2,1,1,1,2] [7,2,6,5,4,3,8,1]=>1011101=>[1,2,1,1,2,1] [8,2,6,5,4,3,7,1]=>1011101=>[1,2,1,1,2,1] [8,2,6,5,4,7,3,1]=>1011011=>[1,2,1,2,1,1] [8,2,7,5,4,6,3,1]=>1011011=>[1,2,1,2,1,1] [8,2,7,5,6,4,3,1]=>1010111=>[1,2,2,1,1,1] [8,2,7,6,5,4,3,1]=>1011111=>[1,2,1,1,1,1,1] [4,3,2,1,8,6,7,5]=>1110101=>[1,1,1,2,2,1] [4,3,2,7,5,6,8,1]=>1101001=>[1,1,2,3,1] [4,3,2,8,5,6,7,1]=>1101001=>[1,1,2,3,1] [4,3,2,8,5,7,6,1]=>1101011=>[1,1,2,2,1,1] [4,3,2,8,6,7,5,1]=>1101011=>[1,1,2,2,1,1] [5,3,2,4,1,6,8,7]=>1101001=>[1,1,2,3,1] [5,3,2,4,1,7,6,8]=>1101010=>[1,1,2,2,2] [5,3,2,4,1,8,7,6]=>1101011=>[1,1,2,2,1,1] [5,3,2,4,6,1,8,7]=>1100101=>[1,1,3,2,1] [5,3,2,4,7,6,1,8]=>1100110=>[1,1,3,1,2] [8,3,2,4,6,5,7,1]=>1100101=>[1,1,3,2,1] [8,3,2,4,6,7,5,1]=>1100011=>[1,1,4,1,1] [8,3,2,4,7,6,5,1]=>1100111=>[1,1,3,1,1,1] [6,3,2,5,4,1,7,8]=>1101100=>[1,1,2,1,3] [6,3,2,5,4,1,8,7]=>1101101=>[1,1,2,1,2,1] [6,3,2,5,4,7,1,8]=>1101010=>[1,1,2,2,2] [6,3,2,5,4,7,8,1]=>1101001=>[1,1,2,3,1] [6,3,2,5,4,8,7,1]=>1101011=>[1,1,2,2,1,1] [7,3,2,5,4,6,1,8]=>1101010=>[1,1,2,2,2] [8,3,2,5,4,7,6,1]=>1101011=>[1,1,2,2,1,1] [7,3,2,5,6,4,8,1]=>1100101=>[1,1,3,2,1] [8,3,2,5,6,4,7,1]=>1100101=>[1,1,3,2,1] [8,3,2,5,6,7,4,1]=>1100011=>[1,1,4,1,1] [8,3,2,5,7,6,4,1]=>1100111=>[1,1,3,1,1,1] [8,3,2,6,5,7,4,1]=>1101011=>[1,1,2,2,1,1] [8,3,2,7,5,6,4,1]=>1101011=>[1,1,2,2,1,1] [8,3,2,7,6,5,4,1]=>1101111=>[1,1,2,1,1,1,1] [5,3,4,2,1,6,8,7]=>1011001=>[1,2,1,3,1] [5,3,4,2,1,7,8,6]=>1011001=>[1,2,1,3,1] [5,3,4,2,1,8,7,6]=>1011011=>[1,2,1,2,1,1] [5,3,4,2,6,1,8,7]=>1010101=>[1,2,2,2,1] [5,3,4,2,7,6,1,8]=>1010110=>[1,2,2,1,2] [5,3,4,2,7,6,8,1]=>1010101=>[1,2,2,2,1] [5,3,4,2,8,6,7,1]=>1010101=>[1,2,2,2,1] [6,3,4,2,5,1,8,7]=>1010101=>[1,2,2,2,1] [7,3,4,2,6,5,1,8]=>1010110=>[1,2,2,1,2] [7,3,4,2,6,5,8,1]=>1010101=>[1,2,2,2,1] [8,3,4,2,6,5,7,1]=>1010101=>[1,2,2,2,1] [6,3,4,5,2,1,8,7]=>1001101=>[1,3,1,2,1] [6,3,4,5,2,8,7,1]=>1001011=>[1,3,2,1,1] [8,3,4,5,2,7,6,1]=>1001011=>[1,3,2,1,1] [8,3,4,5,7,6,2,1]=>1000111=>[1,4,1,1,1] [7,3,4,6,5,2,1,8]=>1001110=>[1,3,1,1,2] [8,3,4,7,6,5,2,1]=>1001111=>[1,3,1,1,1,1] [6,3,5,4,2,1,8,7]=>1011101=>[1,2,1,1,2,1] [6,3,5,4,2,7,1,8]=>1011010=>[1,2,1,2,2] [6,3,5,4,2,7,8,1]=>1011001=>[1,2,1,3,1] [6,3,5,4,2,8,7,1]=>1011011=>[1,2,1,2,1,1] [7,3,5,4,2,6,1,8]=>1011010=>[1,2,1,2,2] [8,3,5,4,2,6,7,1]=>1011001=>[1,2,1,3,1] [8,3,5,4,2,7,6,1]=>1011011=>[1,2,1,2,1,1] [7,3,5,4,6,2,1,8]=>1010110=>[1,2,2,1,2] [7,3,5,4,6,2,8,1]=>1010101=>[1,2,2,2,1] [8,3,5,4,6,7,2,1]=>1010011=>[1,2,3,1,1] [8,3,5,4,7,6,2,1]=>1010111=>[1,2,2,1,1,1] [7,3,6,4,5,2,1,8]=>1010110=>[1,2,2,1,2] [7,3,6,4,5,2,8,1]=>1010101=>[1,2,2,2,1] [8,3,6,4,5,2,7,1]=>1010101=>[1,2,2,2,1] [8,3,6,4,5,7,2,1]=>1010011=>[1,2,3,1,1] [8,3,7,4,5,6,2,1]=>1010011=>[1,2,3,1,1] [8,3,7,4,6,5,2,1]=>1010111=>[1,2,2,1,1,1] [7,3,6,5,4,2,1,8]=>1011110=>[1,2,1,1,1,2] [7,3,6,5,4,2,8,1]=>1011101=>[1,2,1,1,2,1] [8,3,6,5,4,2,7,1]=>1011101=>[1,2,1,1,2,1] [8,3,6,5,4,7,2,1]=>1011011=>[1,2,1,2,1,1] [8,3,7,5,4,6,2,1]=>1011011=>[1,2,1,2,1,1] [8,3,7,5,6,4,2,1]=>1010111=>[1,2,2,1,1,1] [8,3,7,6,5,4,2,1]=>1011111=>[1,2,1,1,1,1,1] [5,4,3,2,8,6,7,1]=>1110101=>[1,1,1,2,2,1] [6,4,3,2,5,1,8,7]=>1110101=>[1,1,1,2,2,1] [6,4,3,2,5,8,7,1]=>1110011=>[1,1,1,3,1,1] [8,4,3,2,5,7,6,1]=>1110011=>[1,1,1,3,1,1] [7,4,3,2,6,5,1,8]=>1110110=>[1,1,1,2,1,2] [7,4,3,2,6,5,8,1]=>1110101=>[1,1,1,2,2,1] [8,4,3,2,6,5,7,1]=>1110101=>[1,1,1,2,2,1] [8,4,3,2,6,7,5,1]=>1110011=>[1,1,1,3,1,1] [8,4,3,2,7,6,5,1]=>1110111=>[1,1,1,2,1,1,1] [6,4,3,5,2,1,8,7]=>1101101=>[1,1,2,1,2,1] [8,4,3,5,2,7,6,1]=>1101011=>[1,1,2,2,1,1] [8,4,3,5,7,6,2,1]=>1100111=>[1,1,3,1,1,1] [7,4,3,6,5,2,1,8]=>1101110=>[1,1,2,1,1,2] [7,4,3,6,5,2,8,1]=>1101101=>[1,1,2,1,2,1] [8,4,3,7,5,6,2,1]=>1101011=>[1,1,2,2,1,1] [8,4,3,7,6,5,2,1]=>1101111=>[1,1,2,1,1,1,1] [6,5,3,4,2,1,8,7]=>1101101=>[1,1,2,1,2,1] [8,5,3,4,2,7,6,1]=>1101011=>[1,1,2,2,1,1] [8,5,3,4,7,6,2,1]=>1100111=>[1,1,3,1,1,1] [8,7,3,4,6,5,2,1]=>1100111=>[1,1,3,1,1,1] [7,6,3,5,4,2,1,8]=>1101110=>[1,1,2,1,1,2] [7,6,3,5,4,2,8,1]=>1101101=>[1,1,2,1,2,1] [8,6,3,5,4,2,7,1]=>1101101=>[1,1,2,1,2,1] [8,6,3,5,4,7,2,1]=>1101011=>[1,1,2,2,1,1] [8,7,3,5,4,6,2,1]=>1101011=>[1,1,2,2,1,1] [8,7,3,5,6,4,2,1]=>1100111=>[1,1,3,1,1,1] [8,7,3,6,5,4,2,1]=>1101111=>[1,1,2,1,1,1,1] [8,5,4,3,2,7,6,1]=>1111011=>[1,1,1,1,2,1,1] [8,5,4,3,7,6,2,1]=>1110111=>[1,1,1,2,1,1,1] [8,7,4,3,6,5,2,1]=>1110111=>[1,1,1,2,1,1,1] [8,7,4,6,5,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [2,4,1,3,6,5,8,7]=>0100101=>[2,3,2,1] [2,1,4,6,3,5,8,7]=>1001001=>[1,3,3,1] [2,4,1,6,3,5,8,7]=>0101001=>[2,2,3,1] [2,4,6,1,3,5,8,7]=>0010001=>[3,4,1] [2,1,4,3,6,8,5,7]=>1010010=>[1,2,3,2] [2,4,1,3,6,8,5,7]=>0100010=>[2,4,2] [2,1,4,6,3,8,5,7]=>1001010=>[1,3,2,2] [2,4,1,6,3,8,5,7]=>0101010=>[2,2,2,2] [2,4,6,1,3,8,5,7]=>0010010=>[3,3,2] [2,1,4,6,8,3,5,7]=>1000100=>[1,4,3] [2,4,1,6,8,3,5,7]=>0100100=>[2,3,3] [2,4,6,1,8,3,5,7]=>0010100=>[3,2,3] [2,4,6,8,1,3,5,7]=>0001000=>[4,4] [2,4,1,3,6,5,7,8]=>0100100=>[2,3,3] [2,1,4,6,3,5,7,8]=>1001000=>[1,3,4] [2,4,1,6,3,5,7,8]=>0101000=>[2,2,4] [2,4,6,1,3,5,7,8]=>0010000=>[3,5] [2,1,4,6,3,7,5,8]=>1001010=>[1,3,2,2] [2,4,1,6,3,7,5,8]=>0101010=>[2,2,2,2] [2,4,6,1,3,7,5,8]=>0010010=>[3,3,2] [2,4,6,7,1,3,5,8]=>0001000=>[4,4] [2,4,1,3,6,7,8,5]=>0100001=>[2,5,1] [2,1,4,6,3,7,8,5]=>1001001=>[1,3,3,1] [2,4,1,6,3,7,8,5]=>0101001=>[2,2,3,1] [2,4,6,1,3,7,8,5]=>0010001=>[3,4,1] [2,1,4,6,7,3,8,5]=>1000101=>[1,4,2,1] [2,4,1,6,7,3,8,5]=>0100101=>[2,3,2,1] [2,4,6,1,7,3,8,5]=>0010101=>[3,2,2,1] [2,4,6,7,1,3,8,5]=>0001001=>[4,3,1] [2,1,4,6,7,8,3,5]=>1000010=>[1,5,2] [2,4,1,6,7,8,3,5]=>0100010=>[2,4,2] [2,4,6,1,7,8,3,5]=>0010010=>[3,3,2] [2,4,6,7,1,8,3,5]=>0001010=>[4,2,2] [2,4,6,7,8,1,3,5]=>0000100=>[5,3] [2,1,4,3,7,5,8,6]=>1010101=>[1,2,2,2,1] [2,4,1,3,7,5,8,6]=>0100101=>[2,3,2,1] [2,1,4,7,3,5,8,6]=>1001001=>[1,3,3,1] [2,4,1,7,3,5,8,6]=>0101001=>[2,2,3,1] [2,4,7,1,3,5,8,6]=>0010001=>[3,4,1] [2,1,4,3,7,8,5,6]=>1010010=>[1,2,3,2] [2,4,1,3,7,8,5,6]=>0100010=>[2,4,2] [2,4,1,7,3,8,5,6]=>0101010=>[2,2,2,2] [2,1,4,7,8,3,5,6]=>1000100=>[1,4,3] [2,4,1,7,8,3,5,6]=>0100100=>[2,3,3] [2,4,7,1,8,3,5,6]=>0010100=>[3,2,3] [2,4,7,8,1,3,5,6]=>0001000=>[4,4] [2,4,1,5,3,7,6,8]=>0101010=>[2,2,2,2] [2,4,5,1,3,7,6,8]=>0010010=>[3,3,2] [2,4,5,1,7,3,6,8]=>0010100=>[3,2,3] [2,4,1,3,5,7,8,6]=>0100001=>[2,5,1] [2,4,1,5,3,7,8,6]=>0101001=>[2,2,3,1] [2,4,5,1,3,7,8,6]=>0010001=>[3,4,1] [2,1,4,5,7,3,8,6]=>1000101=>[1,4,2,1] [2,4,1,5,7,3,8,6]=>0100101=>[2,3,2,1] [2,4,5,1,7,3,8,6]=>0010101=>[3,2,2,1] [2,4,5,7,1,3,8,6]=>0001001=>[4,3,1] [2,1,4,5,7,8,3,6]=>1000010=>[1,5,2] [2,4,5,1,7,8,3,6]=>0010010=>[3,3,2] [2,4,5,7,1,8,3,6]=>0001010=>[4,2,2] [2,4,5,7,8,1,3,6]=>0000100=>[5,3] [2,1,4,3,8,5,6,7]=>1010100=>[1,2,2,3] [2,4,1,3,8,5,6,7]=>0100100=>[2,3,3] [2,1,4,8,3,5,6,7]=>1001000=>[1,3,4] [2,4,1,8,3,5,6,7]=>0101000=>[2,2,4] [2,4,8,1,3,5,6,7]=>0010000=>[3,5] [2,1,4,3,5,8,6,7]=>1010010=>[1,2,3,2] [2,4,1,5,3,8,6,7]=>0101010=>[2,2,2,2] [2,1,4,5,8,3,6,7]=>1000100=>[1,4,3] [2,4,1,5,8,3,6,7]=>0100100=>[2,3,3] [2,4,5,1,8,3,6,7]=>0010100=>[3,2,3] [2,4,5,8,1,3,6,7]=>0001000=>[4,4] [2,4,1,5,3,6,8,7]=>0101001=>[2,2,3,1] [2,4,1,5,6,3,8,7]=>0100101=>[2,3,2,1] [2,4,5,1,6,3,8,7]=>0010101=>[3,2,2,1] [2,4,5,6,1,3,8,7]=>0001001=>[4,3,1] [2,1,4,5,6,8,3,7]=>1000010=>[1,5,2] [2,4,1,5,6,8,3,7]=>0100010=>[2,4,2] [2,4,5,1,6,8,3,7]=>0010010=>[3,3,2] [2,4,5,6,1,8,3,7]=>0001010=>[4,2,2] [2,4,5,6,8,1,3,7]=>0000100=>[5,3] [2,4,1,3,5,6,7,8]=>0100000=>[2,6] [2,4,1,5,3,6,7,8]=>0101000=>[2,2,4] [2,4,5,1,3,6,7,8]=>0010000=>[3,5] [2,4,1,5,6,3,7,8]=>0100100=>[2,3,3] [2,4,5,1,6,3,7,8]=>0010100=>[3,2,3] [2,4,5,6,1,3,7,8]=>0001000=>[4,4] [2,4,1,5,6,7,3,8]=>0100010=>[2,4,2] [2,4,5,6,1,7,3,8]=>0001010=>[4,2,2] [2,4,5,6,7,1,3,8]=>0000100=>[5,3] [2,4,1,5,6,7,8,3]=>0100001=>[2,5,1] [2,4,5,1,6,7,8,3]=>0010001=>[3,4,1] [2,4,5,6,1,7,8,3]=>0001001=>[4,3,1] [2,4,5,6,7,1,8,3]=>0000101=>[5,2,1] [2,4,5,6,7,8,1,3]=>0000010=>[6,2] [2,1,5,3,6,4,8,7]=>1010101=>[1,2,2,2,1] [2,5,1,3,6,4,8,7]=>0100101=>[2,3,2,1] [2,1,5,6,3,4,8,7]=>1001001=>[1,3,3,1] [2,5,1,6,3,4,8,7]=>0101001=>[2,2,3,1] [2,5,6,1,3,4,8,7]=>0010001=>[3,4,1] [2,1,5,3,6,8,4,7]=>1010010=>[1,2,3,2] [2,5,1,3,6,8,4,7]=>0100010=>[2,4,2] [2,5,1,6,3,8,4,7]=>0101010=>[2,2,2,2] [2,5,6,1,3,8,4,7]=>0010010=>[3,3,2] [2,1,5,6,8,3,4,7]=>1000100=>[1,4,3] [2,5,1,6,8,3,4,7]=>0100100=>[2,3,3] [2,5,6,8,1,3,4,7]=>0001000=>[4,4] [2,5,1,3,6,4,7,8]=>0100100=>[2,3,3] [2,1,5,6,3,4,7,8]=>1001000=>[1,3,4] [2,5,1,6,3,4,7,8]=>0101000=>[2,2,4] [2,1,5,3,6,7,4,8]=>1010010=>[1,2,3,2] [2,1,5,6,3,7,4,8]=>1001010=>[1,3,2,2] [2,5,1,6,3,7,4,8]=>0101010=>[2,2,2,2] [2,5,6,1,3,7,4,8]=>0010010=>[3,3,2] [2,1,5,6,7,3,4,8]=>1000100=>[1,4,3] [2,5,1,6,7,3,4,8]=>0100100=>[2,3,3] [2,5,6,1,7,3,4,8]=>0010100=>[3,2,3] [2,1,5,3,6,7,8,4]=>1010001=>[1,2,4,1] [2,5,1,3,6,7,8,4]=>0100001=>[2,5,1] [2,1,5,6,3,7,8,4]=>1001001=>[1,3,3,1] [2,5,1,6,3,7,8,4]=>0101001=>[2,2,3,1] [2,5,6,1,3,7,8,4]=>0010001=>[3,4,1] [2,1,5,6,7,3,8,4]=>1000101=>[1,4,2,1] [2,5,1,6,7,3,8,4]=>0100101=>[2,3,2,1] [2,5,6,7,1,3,8,4]=>0001001=>[4,3,1] [2,1,5,6,7,8,3,4]=>1000010=>[1,5,2] [2,5,1,6,7,8,3,4]=>0100010=>[2,4,2] [2,5,6,1,7,8,3,4]=>0010010=>[3,3,2] [2,5,6,7,1,8,3,4]=>0001010=>[4,2,2] [2,5,6,7,8,1,3,4]=>0000100=>[5,3] [2,1,5,3,7,4,8,6]=>1010101=>[1,2,2,2,1] [2,5,1,3,7,4,8,6]=>0100101=>[2,3,2,1] [2,1,5,7,3,4,8,6]=>1001001=>[1,3,3,1] [2,5,1,7,3,4,8,6]=>0101001=>[2,2,3,1] [2,5,7,1,3,4,8,6]=>0010001=>[3,4,1] [2,1,5,3,7,8,4,6]=>1010010=>[1,2,3,2] [2,5,1,3,7,8,4,6]=>0100010=>[2,4,2] [2,1,5,7,3,8,4,6]=>1001010=>[1,3,2,2] [2,1,5,7,8,3,4,6]=>1000100=>[1,4,3] [2,5,1,7,8,3,4,6]=>0100100=>[2,3,3] [2,5,7,1,8,3,4,6]=>0010100=>[3,2,3] [2,5,7,8,1,3,4,6]=>0001000=>[4,4] [2,5,1,3,7,4,6,8]=>0100100=>[2,3,3] [2,1,5,7,3,4,6,8]=>1001000=>[1,3,4] [2,3,5,1,4,7,6,8]=>0010010=>[3,3,2] [2,3,5,7,1,4,6,8]=>0001000=>[4,4] [2,3,5,1,7,4,8,6]=>0010101=>[3,2,2,1] [2,3,5,7,1,4,8,6]=>0001001=>[4,3,1] [2,3,1,5,7,8,4,6]=>0100010=>[2,4,2] [2,3,5,7,1,8,4,6]=>0001010=>[4,2,2] [2,3,5,7,8,1,4,6]=>0000100=>[5,3] [2,1,5,3,8,4,6,7]=>1010100=>[1,2,2,3] [2,5,1,3,8,4,6,7]=>0100100=>[2,3,3] [2,1,5,8,3,4,6,7]=>1001000=>[1,3,4] [2,5,1,8,3,4,6,7]=>0101000=>[2,2,4] [2,5,8,1,3,4,6,7]=>0010000=>[3,5] [2,3,5,1,4,8,6,7]=>0010010=>[3,3,2] [2,1,3,5,8,4,6,7]=>1000100=>[1,4,3] [2,3,5,1,8,4,6,7]=>0010100=>[3,2,3] [2,3,5,8,1,4,6,7]=>0001000=>[4,4] [2,1,5,3,4,6,8,7]=>1010001=>[1,2,4,1] [2,3,5,1,6,4,8,7]=>0010101=>[3,2,2,1] [2,3,5,6,1,4,8,7]=>0001001=>[4,3,1] [2,3,1,5,6,8,4,7]=>0100010=>[2,4,2] [2,3,5,1,6,8,4,7]=>0010010=>[3,3,2] [2,3,5,6,1,8,4,7]=>0001010=>[4,2,2] [2,3,5,6,8,1,4,7]=>0000100=>[5,3] [2,1,5,3,4,6,7,8]=>1010000=>[1,2,5] [2,5,1,3,4,6,7,8]=>0100000=>[2,6] [2,3,5,1,4,6,7,8]=>0010000=>[3,5] [2,3,5,1,6,4,7,8]=>0010100=>[3,2,3] [2,3,5,6,1,4,7,8]=>0001000=>[4,4] [2,3,5,6,1,7,4,8]=>0001010=>[4,2,2] [2,3,5,6,7,1,4,8]=>0000100=>[5,3] [2,3,5,1,6,7,8,4]=>0010001=>[3,4,1] [2,3,5,6,1,7,8,4]=>0001001=>[4,3,1] [2,3,5,6,7,1,8,4]=>0000101=>[5,2,1] [2,3,5,6,7,8,1,4]=>0000010=>[6,2] [2,1,6,3,7,4,8,5]=>1010101=>[1,2,2,2,1] [2,6,1,3,7,4,8,5]=>0100101=>[2,3,2,1] [2,1,6,7,3,4,8,5]=>1001001=>[1,3,3,1] [2,6,1,7,3,4,8,5]=>0101001=>[2,2,3,1] [2,6,7,1,3,4,8,5]=>0010001=>[3,4,1] [2,1,6,3,7,8,4,5]=>1010010=>[1,2,3,2] [2,6,1,3,7,8,4,5]=>0100010=>[2,4,2] [2,1,6,7,3,8,4,5]=>1001010=>[1,3,2,2] [2,6,1,7,3,8,4,5]=>0101010=>[2,2,2,2] [2,1,6,7,8,3,4,5]=>1000100=>[1,4,3] [2,6,1,7,8,3,4,5]=>0100100=>[2,3,3] [2,6,7,1,8,3,4,5]=>0010100=>[3,2,3] [2,6,7,8,1,3,4,5]=>0001000=>[4,4] [2,1,6,3,7,4,5,8]=>1010100=>[1,2,2,3] [2,6,1,7,3,4,5,8]=>0101000=>[2,2,4] [2,6,7,1,3,4,5,8]=>0010000=>[3,5] [2,6,1,3,4,7,5,8]=>0100010=>[2,4,2] [2,3,1,6,4,7,5,8]=>0101010=>[2,2,2,2] [2,3,6,1,4,7,5,8]=>0010010=>[3,3,2] [2,3,6,7,1,4,5,8]=>0001000=>[4,4] [2,1,6,3,4,7,8,5]=>1010001=>[1,2,4,1] [2,6,1,3,4,7,8,5]=>0100001=>[2,5,1] [2,3,6,1,4,7,8,5]=>0010001=>[3,4,1] [2,1,3,6,7,4,8,5]=>1000101=>[1,4,2,1] [2,3,6,7,1,4,8,5]=>0001001=>[4,3,1] [2,1,3,6,7,8,4,5]=>1000010=>[1,5,2] [2,3,1,6,7,8,4,5]=>0100010=>[2,4,2] [2,3,6,1,7,8,4,5]=>0010010=>[3,3,2] [2,3,6,7,1,8,4,5]=>0001010=>[4,2,2] [2,3,6,7,8,1,4,5]=>0000100=>[5,3] [2,1,6,3,8,4,5,7]=>1010100=>[1,2,2,3] [2,6,1,3,8,4,5,7]=>0100100=>[2,3,3] [2,1,6,8,3,4,5,7]=>1001000=>[1,3,4] [2,6,1,8,3,4,5,7]=>0101000=>[2,2,4] [2,6,8,1,3,4,5,7]=>0010000=>[3,5] [2,1,6,3,4,8,5,7]=>1010010=>[1,2,3,2] [2,6,1,3,4,8,5,7]=>0100010=>[2,4,2] [2,3,1,6,4,8,5,7]=>0101010=>[2,2,2,2] [2,3,6,1,4,8,5,7]=>0010010=>[3,3,2] [2,3,1,6,8,4,5,7]=>0100100=>[2,3,3] [2,3,6,1,8,4,5,7]=>0010100=>[3,2,3] [2,3,6,8,1,4,5,7]=>0001000=>[4,4] [2,1,6,3,4,5,8,7]=>1010001=>[1,2,4,1] [2,6,1,3,4,5,8,7]=>0100001=>[2,5,1] [2,1,3,6,4,5,8,7]=>1001001=>[1,3,3,1] [2,3,6,1,4,5,8,7]=>0010001=>[3,4,1] [2,3,4,1,6,8,5,7]=>0010010=>[3,3,2] [2,3,4,6,1,8,5,7]=>0001010=>[4,2,2] [2,3,4,6,8,1,5,7]=>0000100=>[5,3] [2,6,1,3,4,5,7,8]=>0100000=>[2,6] [2,1,3,6,4,5,7,8]=>1001000=>[1,3,4] [2,3,1,6,4,5,7,8]=>0101000=>[2,2,4] [2,3,6,1,4,5,7,8]=>0010000=>[3,5] [2,3,4,6,1,5,7,8]=>0001000=>[4,4] [2,3,4,6,1,7,5,8]=>0001010=>[4,2,2] [2,3,4,6,7,1,5,8]=>0000100=>[5,3] [2,3,4,6,1,7,8,5]=>0001001=>[4,3,1] [2,3,4,6,7,8,1,5]=>0000010=>[6,2] [2,1,7,3,8,4,5,6]=>1010100=>[1,2,2,3] [2,7,1,3,8,4,5,6]=>0100100=>[2,3,3] [2,1,7,8,3,4,5,6]=>1001000=>[1,3,4] [2,7,1,8,3,4,5,6]=>0101000=>[2,2,4] [2,7,8,1,3,4,5,6]=>0010000=>[3,5] [2,1,7,3,4,8,5,6]=>1010010=>[1,2,3,2] [2,7,1,3,4,8,5,6]=>0100010=>[2,4,2] [2,1,3,7,4,8,5,6]=>1001010=>[1,3,2,2] [2,3,1,7,4,8,5,6]=>0101010=>[2,2,2,2] [2,3,7,1,4,8,5,6]=>0010010=>[3,3,2] [2,1,3,7,8,4,5,6]=>1000100=>[1,4,3] [2,3,1,7,8,4,5,6]=>0100100=>[2,3,3] [2,3,7,8,1,4,5,6]=>0001000=>[4,4] [2,1,7,3,4,5,8,6]=>1010001=>[1,2,4,1] [2,7,1,3,4,5,8,6]=>0100001=>[2,5,1] [2,3,1,7,4,5,8,6]=>0101001=>[2,2,3,1] [2,3,7,1,4,5,8,6]=>0010001=>[3,4,1] [2,1,3,4,7,5,8,6]=>1000101=>[1,4,2,1] [2,3,4,1,7,5,8,6]=>0010101=>[3,2,2,1] [2,3,4,7,1,5,8,6]=>0001001=>[4,3,1] [2,1,3,4,7,8,5,6]=>1000010=>[1,5,2] [2,3,1,4,7,8,5,6]=>0100010=>[2,4,2] [2,3,4,1,7,8,5,6]=>0010010=>[3,3,2] [2,3,4,7,1,8,5,6]=>0001010=>[4,2,2] [2,3,4,7,8,1,5,6]=>0000100=>[5,3] [2,1,7,3,4,5,6,8]=>1010000=>[1,2,5] [2,7,1,3,4,5,6,8]=>0100000=>[2,6] [2,3,7,1,4,5,6,8]=>0010000=>[3,5] [2,1,3,4,7,5,6,8]=>1000100=>[1,4,3] [2,3,1,4,7,5,6,8]=>0100100=>[2,3,3] [2,3,4,1,7,5,6,8]=>0010100=>[3,2,3] [2,3,4,7,1,5,6,8]=>0001000=>[4,4] [2,3,4,5,7,1,6,8]=>0000100=>[5,3] [2,3,4,5,7,1,8,6]=>0000101=>[5,2,1] [2,3,4,5,7,8,1,6]=>0000010=>[6,2] [2,1,8,3,4,5,6,7]=>1010000=>[1,2,5] [2,8,1,3,4,5,6,7]=>0100000=>[2,6] [2,1,3,8,4,5,6,7]=>1001000=>[1,3,4] [2,3,1,8,4,5,6,7]=>0101000=>[2,2,4] [2,3,8,1,4,5,6,7]=>0010000=>[3,5] [2,1,3,4,8,5,6,7]=>1000100=>[1,4,3] [2,3,1,4,8,5,6,7]=>0100100=>[2,3,3] [2,3,4,1,8,5,6,7]=>0010100=>[3,2,3] [2,3,4,8,1,5,6,7]=>0001000=>[4,4] [2,1,3,4,5,8,6,7]=>1000010=>[1,5,2] [2,3,1,4,5,8,6,7]=>0100010=>[2,4,2] [2,3,4,1,5,8,6,7]=>0010010=>[3,3,2] [2,3,4,5,1,8,6,7]=>0001010=>[4,2,2] [2,3,4,5,8,1,6,7]=>0000100=>[5,3] [2,3,4,5,6,8,1,7]=>0000010=>[6,2] [3,1,4,2,6,5,8,7]=>1010101=>[1,2,2,2,1] [3,4,1,2,6,5,8,7]=>0100101=>[2,3,2,1] [3,1,4,6,2,5,8,7]=>1001001=>[1,3,3,1] [3,4,1,6,2,5,8,7]=>0101001=>[2,2,3,1] [3,4,6,1,2,5,8,7]=>0010001=>[3,4,1] [3,1,4,2,6,8,5,7]=>1010010=>[1,2,3,2] [3,4,1,2,6,8,5,7]=>0100010=>[2,4,2] [3,1,4,6,2,8,5,7]=>1001010=>[1,3,2,2] [3,4,1,6,2,8,5,7]=>0101010=>[2,2,2,2] [3,1,4,6,8,2,5,7]=>1000100=>[1,4,3] [3,4,1,6,8,2,5,7]=>0100100=>[2,3,3] [3,4,6,8,1,2,5,7]=>0001000=>[4,4] [3,1,4,2,6,5,7,8]=>1010100=>[1,2,2,3] [3,4,1,2,6,5,7,8]=>0100100=>[2,3,3] [3,1,4,2,6,7,5,8]=>1010010=>[1,2,3,2] [3,4,1,2,6,7,5,8]=>0100010=>[2,4,2] [3,4,1,6,2,7,5,8]=>0101010=>[2,2,2,2] [3,4,6,1,2,7,5,8]=>0010010=>[3,3,2] [3,4,1,6,7,2,5,8]=>0100100=>[2,3,3] [3,4,6,7,1,2,5,8]=>0001000=>[4,4] [3,1,4,2,6,7,8,5]=>1010001=>[1,2,4,1] [3,4,1,2,6,7,8,5]=>0100001=>[2,5,1] [3,1,4,6,2,7,8,5]=>1001001=>[1,3,3,1] [3,4,1,6,2,7,8,5]=>0101001=>[2,2,3,1] [3,4,6,1,2,7,8,5]=>0010001=>[3,4,1] [3,1,4,6,7,2,8,5]=>1000101=>[1,4,2,1] [3,4,1,6,7,2,8,5]=>0100101=>[2,3,2,1] [3,4,6,1,7,2,8,5]=>0010101=>[3,2,2,1] [3,4,6,7,1,2,8,5]=>0001001=>[4,3,1] [3,1,4,6,7,8,2,5]=>1000010=>[1,5,2] [3,4,1,6,7,8,2,5]=>0100010=>[2,4,2] [3,4,6,1,7,8,2,5]=>0010010=>[3,3,2] [3,4,6,7,1,8,2,5]=>0001010=>[4,2,2] [3,4,6,7,8,1,2,5]=>0000100=>[5,3] [3,1,4,2,7,5,8,6]=>1010101=>[1,2,2,2,1] [3,4,1,2,7,5,8,6]=>0100101=>[2,3,2,1] [3,1,4,7,2,5,8,6]=>1001001=>[1,3,3,1] [3,4,1,7,2,5,8,6]=>0101001=>[2,2,3,1] [3,4,7,1,2,5,8,6]=>0010001=>[3,4,1] [3,1,4,2,7,8,5,6]=>1010010=>[1,2,3,2] [3,4,1,2,7,8,5,6]=>0100010=>[2,4,2] [3,1,4,7,2,8,5,6]=>1001010=>[1,3,2,2] [3,4,7,1,8,2,5,6]=>0010100=>[3,2,3] [3,4,7,8,1,2,5,6]=>0001000=>[4,4] [3,1,4,2,7,5,6,8]=>1010100=>[1,2,2,3] [3,4,1,2,7,5,6,8]=>0100100=>[2,3,3] [3,4,1,2,5,7,6,8]=>0100010=>[2,4,2] [3,1,4,5,2,7,6,8]=>1001010=>[1,3,2,2] [3,4,1,5,2,7,6,8]=>0101010=>[2,2,2,2] [3,4,1,5,7,2,6,8]=>0100100=>[2,3,3] [3,4,5,7,1,2,6,8]=>0001000=>[4,4] [3,1,4,2,5,7,8,6]=>1010001=>[1,2,4,1] [3,4,1,2,5,7,8,6]=>0100001=>[2,5,1] [3,1,4,5,2,7,8,6]=>1001001=>[1,3,3,1] [3,4,5,1,2,7,8,6]=>0010001=>[3,4,1] [3,1,4,5,7,2,8,6]=>1000101=>[1,4,2,1] [3,4,1,5,7,2,8,6]=>0100101=>[2,3,2,1] [3,4,5,7,1,2,8,6]=>0001001=>[4,3,1] [3,1,4,5,7,8,2,6]=>1000010=>[1,5,2] [3,4,1,5,7,8,2,6]=>0100010=>[2,4,2] [3,4,5,1,7,8,2,6]=>0010010=>[3,3,2] [3,4,5,7,1,8,2,6]=>0001010=>[4,2,2] [3,4,5,7,8,1,2,6]=>0000100=>[5,3] [3,1,4,2,8,5,6,7]=>1010100=>[1,2,2,3] [3,4,1,2,8,5,6,7]=>0100100=>[2,3,3] [3,1,4,8,2,5,6,7]=>1001000=>[1,3,4] [3,4,1,8,2,5,6,7]=>0101000=>[2,2,4] [3,4,8,1,2,5,6,7]=>0010000=>[3,5] [3,1,4,2,5,8,6,7]=>1010010=>[1,2,3,2] [3,4,1,2,5,8,6,7]=>0100010=>[2,4,2] [3,4,1,5,2,8,6,7]=>0101010=>[2,2,2,2] [3,4,5,1,2,8,6,7]=>0010010=>[3,3,2] [3,1,4,5,8,2,6,7]=>1000100=>[1,4,3] [3,4,1,5,8,2,6,7]=>0100100=>[2,3,3] [3,4,5,8,1,2,6,7]=>0001000=>[4,4] [3,4,1,2,5,6,8,7]=>0100001=>[2,5,1] [3,4,5,1,2,6,8,7]=>0010001=>[3,4,1] [3,1,4,5,6,2,8,7]=>1000101=>[1,4,2,1] [3,4,1,5,6,2,8,7]=>0100101=>[2,3,2,1] [3,4,5,1,6,2,8,7]=>0010101=>[3,2,2,1] [3,4,5,6,1,2,8,7]=>0001001=>[4,3,1] [3,1,4,5,6,8,2,7]=>1000010=>[1,5,2] [3,4,1,5,6,8,2,7]=>0100010=>[2,4,2] [3,4,5,6,1,8,2,7]=>0001010=>[4,2,2] [3,4,5,6,8,1,2,7]=>0000100=>[5,3] [3,1,4,2,5,6,7,8]=>1010000=>[1,2,5] [3,1,4,5,2,6,7,8]=>1001000=>[1,3,4] [3,4,1,5,2,6,7,8]=>0101000=>[2,2,4] [3,1,4,5,6,2,7,8]=>1000100=>[1,4,3] [3,4,1,5,6,2,7,8]=>0100100=>[2,3,3] [3,4,5,1,6,2,7,8]=>0010100=>[3,2,3] [3,1,4,5,6,7,2,8]=>1000010=>[1,5,2] [3,4,1,5,6,7,2,8]=>0100010=>[2,4,2] [3,4,5,1,6,7,2,8]=>0010010=>[3,3,2] [3,4,5,6,1,7,2,8]=>0001010=>[4,2,2] [3,1,4,5,6,7,8,2]=>1000001=>[1,6,1] [3,4,1,5,6,7,8,2]=>0100001=>[2,5,1] [3,4,5,1,6,7,8,2]=>0010001=>[3,4,1] [3,4,5,6,1,7,8,2]=>0001001=>[4,3,1] [3,4,5,6,7,1,8,2]=>0000101=>[5,2,1] [3,1,5,2,6,4,8,7]=>1010101=>[1,2,2,2,1] [3,5,1,2,6,4,8,7]=>0100101=>[2,3,2,1] [3,1,5,6,2,4,8,7]=>1001001=>[1,3,3,1] [3,5,1,6,2,4,8,7]=>0101001=>[2,2,3,1] [3,5,6,1,2,4,8,7]=>0010001=>[3,4,1] [3,1,5,2,6,8,4,7]=>1010010=>[1,2,3,2] [3,5,1,2,6,8,4,7]=>0100010=>[2,4,2] [3,1,5,6,2,8,4,7]=>1001010=>[1,3,2,2] [3,5,6,1,2,8,4,7]=>0010010=>[3,3,2] [3,1,5,6,8,2,4,7]=>1000100=>[1,4,3] [3,5,1,6,8,2,4,7]=>0100100=>[2,3,3] [3,5,6,1,8,2,4,7]=>0010100=>[3,2,3] [3,5,6,8,1,2,4,7]=>0001000=>[4,4] [3,1,5,6,2,4,7,8]=>1001000=>[1,3,4] [3,5,1,6,2,4,7,8]=>0101000=>[2,2,4] [3,5,6,1,2,4,7,8]=>0010000=>[3,5] [3,5,1,2,6,7,4,8]=>0100010=>[2,4,2] [3,5,1,6,2,7,4,8]=>0101010=>[2,2,2,2] [3,5,6,1,2,7,4,8]=>0010010=>[3,3,2] [3,5,1,6,7,2,4,8]=>0100100=>[2,3,3] [3,5,6,1,7,2,4,8]=>0010100=>[3,2,3] [3,5,6,7,1,2,4,8]=>0001000=>[4,4] [3,1,5,2,6,7,8,4]=>1010001=>[1,2,4,1] [3,5,1,2,6,7,8,4]=>0100001=>[2,5,1] [3,1,5,6,2,7,8,4]=>1001001=>[1,3,3,1] [3,5,1,6,2,7,8,4]=>0101001=>[2,2,3,1] [3,5,6,1,2,7,8,4]=>0010001=>[3,4,1] [3,1,5,6,7,2,8,4]=>1000101=>[1,4,2,1] [3,5,1,6,7,2,8,4]=>0100101=>[2,3,2,1] [3,5,6,1,7,2,8,4]=>0010101=>[3,2,2,1] [3,5,6,7,1,2,8,4]=>0001001=>[4,3,1] [3,1,5,6,7,8,2,4]=>1000010=>[1,5,2] [3,5,1,6,7,8,2,4]=>0100010=>[2,4,2] [3,5,6,1,7,8,2,4]=>0010010=>[3,3,2] [3,5,6,7,1,8,2,4]=>0001010=>[4,2,2] [3,5,6,7,8,1,2,4]=>0000100=>[5,3] [3,1,5,2,7,4,8,6]=>1010101=>[1,2,2,2,1] [3,5,1,2,7,4,8,6]=>0100101=>[2,3,2,1] [3,1,5,7,2,4,8,6]=>1001001=>[1,3,3,1] [3,5,1,7,2,4,8,6]=>0101001=>[2,2,3,1] [3,5,7,1,2,4,8,6]=>0010001=>[3,4,1] [3,1,5,2,7,8,4,6]=>1010010=>[1,2,3,2] [3,5,1,2,7,8,4,6]=>0100010=>[2,4,2] [3,1,5,7,2,8,4,6]=>1001010=>[1,3,2,2] [3,5,1,7,2,8,4,6]=>0101010=>[2,2,2,2] [3,1,5,7,8,2,4,6]=>1000100=>[1,4,3] [3,5,1,7,8,2,4,6]=>0100100=>[2,3,3] [3,5,7,8,1,2,4,6]=>0001000=>[4,4] [3,1,5,2,7,4,6,8]=>1010100=>[1,2,2,3] [3,5,1,2,7,4,6,8]=>0100100=>[2,3,3] [3,1,5,7,2,4,6,8]=>1001000=>[1,3,4] [3,5,1,7,2,4,6,8]=>0101000=>[2,2,4] [3,5,7,1,2,4,6,8]=>0010000=>[3,5] [3,1,5,2,4,7,6,8]=>1010010=>[1,2,3,2] [3,5,1,2,4,7,6,8]=>0100010=>[2,4,2] [3,1,2,5,4,7,6,8]=>1001010=>[1,3,2,2] [1,3,5,2,4,7,6,8]=>0010010=>[3,3,2] [3,1,2,5,7,4,6,8]=>1000100=>[1,4,3] [1,3,2,5,7,4,6,8]=>0100100=>[2,3,3] [1,3,5,2,7,4,6,8]=>0010100=>[3,2,3] [1,3,5,7,2,4,6,8]=>0001000=>[4,4] [3,1,5,2,4,7,8,6]=>1010001=>[1,2,4,1] [3,5,1,2,4,7,8,6]=>0100001=>[2,5,1] [1,3,5,2,4,7,8,6]=>0010001=>[3,4,1] [3,1,2,5,7,4,8,6]=>1000101=>[1,4,2,1] [1,3,2,5,7,4,8,6]=>0100101=>[2,3,2,1] [1,3,5,2,7,4,8,6]=>0010101=>[3,2,2,1] [1,3,5,7,2,4,8,6]=>0001001=>[4,3,1] [3,1,2,5,7,8,4,6]=>1000010=>[1,5,2] [1,3,2,5,7,8,4,6]=>0100010=>[2,4,2] [1,3,5,2,7,8,4,6]=>0010010=>[3,3,2] [1,3,5,7,2,8,4,6]=>0001010=>[4,2,2] [1,3,5,7,8,2,4,6]=>0000100=>[5,3] [3,1,5,2,8,4,6,7]=>1010100=>[1,2,2,3] [3,5,1,2,8,4,6,7]=>0100100=>[2,3,3] [3,1,5,8,2,4,6,7]=>1001000=>[1,3,4] [3,5,1,8,2,4,6,7]=>0101000=>[2,2,4] [3,1,5,2,4,8,6,7]=>1010010=>[1,2,3,2] [3,5,1,2,4,8,6,7]=>0100010=>[2,4,2] [1,3,2,5,4,8,6,7]=>0101010=>[2,2,2,2] [1,3,5,2,4,8,6,7]=>0010010=>[3,3,2] [3,1,2,5,8,4,6,7]=>1000100=>[1,4,3] [1,3,2,5,8,4,6,7]=>0100100=>[2,3,3] [1,3,5,2,8,4,6,7]=>0010100=>[3,2,3] [1,3,5,8,2,4,6,7]=>0001000=>[4,4] [3,1,5,2,4,6,8,7]=>1010001=>[1,2,4,1] [3,5,1,2,4,6,8,7]=>0100001=>[2,5,1] [3,1,2,5,4,6,8,7]=>1001001=>[1,3,3,1] [1,3,5,2,4,6,8,7]=>0010001=>[3,4,1] [1,3,5,6,2,4,8,7]=>0001001=>[4,3,1] [3,1,2,5,6,8,4,7]=>1000010=>[1,5,2] [1,3,5,2,6,8,4,7]=>0010010=>[3,3,2] [1,3,5,6,2,8,4,7]=>0001010=>[4,2,2] [1,3,5,6,8,2,4,7]=>0000100=>[5,3] [3,1,5,2,4,6,7,8]=>1010000=>[1,2,5] [3,5,1,2,4,6,7,8]=>0100000=>[2,6] [1,3,5,2,4,6,7,8]=>0010000=>[3,5] [3,1,2,5,6,4,7,8]=>1000100=>[1,4,3] [1,3,5,2,6,4,7,8]=>0010100=>[3,2,3] [1,3,5,6,2,4,7,8]=>0001000=>[4,4] [3,1,2,5,6,7,4,8]=>1000010=>[1,5,2] [1,3,5,2,6,7,4,8]=>0010010=>[3,3,2] [1,3,5,6,2,7,4,8]=>0001010=>[4,2,2] [1,3,5,6,7,2,4,8]=>0000100=>[5,3] [3,1,2,5,6,7,8,4]=>1000001=>[1,6,1] [1,3,5,2,6,7,8,4]=>0010001=>[3,4,1] [1,3,5,6,2,7,8,4]=>0001001=>[4,3,1] [1,3,5,6,7,2,8,4]=>0000101=>[5,2,1] [1,3,5,6,7,8,2,4]=>0000010=>[6,2] [3,1,6,2,7,4,8,5]=>1010101=>[1,2,2,2,1] [3,6,1,2,7,4,8,5]=>0100101=>[2,3,2,1] [3,6,1,7,2,4,8,5]=>0101001=>[2,2,3,1] [3,6,7,1,2,4,8,5]=>0010001=>[3,4,1] [3,6,1,2,7,8,4,5]=>0100010=>[2,4,2] [3,1,6,7,2,8,4,5]=>1001010=>[1,3,2,2] [3,6,1,7,2,8,4,5]=>0101010=>[2,2,2,2] [3,6,7,1,2,8,4,5]=>0010010=>[3,3,2] [3,6,1,7,8,2,4,5]=>0100100=>[2,3,3] [3,6,7,8,1,2,4,5]=>0001000=>[4,4] [3,1,6,2,7,4,5,8]=>1010100=>[1,2,2,3] [3,1,6,7,2,4,5,8]=>1001000=>[1,3,4] [3,6,7,1,2,4,5,8]=>0010000=>[3,5] [3,1,6,2,4,7,5,8]=>1010010=>[1,2,3,2] [3,6,1,2,4,7,5,8]=>0100010=>[2,4,2] [3,1,2,6,4,7,5,8]=>1001010=>[1,3,2,2] [1,3,2,6,4,7,5,8]=>0101010=>[2,2,2,2] [1,3,6,2,4,7,5,8]=>0010010=>[3,3,2] [1,3,2,6,7,4,5,8]=>0100100=>[2,3,3] [1,3,6,2,7,4,5,8]=>0010100=>[3,2,3] [3,1,6,2,4,7,8,5]=>1010001=>[1,2,4,1] [3,6,1,2,4,7,8,5]=>0100001=>[2,5,1] [3,1,2,6,4,7,8,5]=>1001001=>[1,3,3,1] [1,3,2,6,4,7,8,5]=>0101001=>[2,2,3,1] [1,3,6,2,4,7,8,5]=>0010001=>[3,4,1] [3,1,2,6,7,4,8,5]=>1000101=>[1,4,2,1] [1,3,2,6,7,4,8,5]=>0100101=>[2,3,2,1] [1,3,6,2,7,4,8,5]=>0010101=>[3,2,2,1] [3,1,2,6,7,8,4,5]=>1000010=>[1,5,2] [1,3,2,6,7,8,4,5]=>0100010=>[2,4,2] [1,3,6,2,7,8,4,5]=>0010010=>[3,3,2] [1,3,6,7,8,2,4,5]=>0000100=>[5,3] [3,1,6,2,8,4,5,7]=>1010100=>[1,2,2,3] [3,1,6,8,2,4,5,7]=>1001000=>[1,3,4] [3,6,1,8,2,4,5,7]=>0101000=>[2,2,4] [3,6,8,1,2,4,5,7]=>0010000=>[3,5] [3,1,6,2,4,8,5,7]=>1010010=>[1,2,3,2] [3,6,1,2,4,8,5,7]=>0100010=>[2,4,2] [1,3,2,6,4,8,5,7]=>0101010=>[2,2,2,2] [1,3,6,2,4,8,5,7]=>0010010=>[3,3,2] [3,1,2,6,8,4,5,7]=>1000100=>[1,4,3] [1,3,2,6,8,4,5,7]=>0100100=>[2,3,3] [3,1,6,2,4,5,8,7]=>1010001=>[1,2,4,1] [3,6,1,2,4,5,8,7]=>0100001=>[2,5,1] [3,1,2,6,4,5,8,7]=>1001001=>[1,3,3,1] [1,3,6,2,4,5,8,7]=>0010001=>[3,4,1] [3,1,2,4,6,5,8,7]=>1000101=>[1,4,2,1] [1,3,4,6,2,5,8,7]=>0001001=>[4,3,1] [3,1,2,4,6,8,5,7]=>1000010=>[1,5,2] [1,3,2,4,6,8,5,7]=>0100010=>[2,4,2] [1,3,4,6,8,2,5,7]=>0000100=>[5,3] [3,1,6,2,4,5,7,8]=>1010000=>[1,2,5] [3,6,1,2,4,5,7,8]=>0100000=>[2,6] [1,3,2,6,4,5,7,8]=>0101000=>[2,2,4] [1,3,6,2,4,5,7,8]=>0010000=>[3,5] [1,3,4,6,2,5,7,8]=>0001000=>[4,4] [3,1,2,4,6,7,5,8]=>1000010=>[1,5,2] [1,3,4,6,2,7,5,8]=>0001010=>[4,2,2] [1,3,4,6,7,2,5,8]=>0000100=>[5,3] [3,1,2,4,6,7,8,5]=>1000001=>[1,6,1] [1,3,4,6,7,2,8,5]=>0000101=>[5,2,1] [1,3,4,6,7,8,2,5]=>0000010=>[6,2] [3,1,7,2,8,4,5,6]=>1010100=>[1,2,2,3] [3,7,1,2,8,4,5,6]=>0100100=>[2,3,3] [3,1,7,8,2,4,5,6]=>1001000=>[1,3,4] [3,7,1,8,2,4,5,6]=>0101000=>[2,2,4] [3,7,8,1,2,4,5,6]=>0010000=>[3,5] [3,7,1,2,4,8,5,6]=>0100010=>[2,4,2] [3,1,2,7,4,8,5,6]=>1001010=>[1,3,2,2] [1,3,2,7,4,8,5,6]=>0101010=>[2,2,2,2] [1,3,7,2,4,8,5,6]=>0010010=>[3,3,2] [3,1,2,7,8,4,5,6]=>1000100=>[1,4,3] [1,3,7,2,8,4,5,6]=>0010100=>[3,2,3] [1,3,7,8,2,4,5,6]=>0001000=>[4,4] [3,1,7,2,4,5,8,6]=>1010001=>[1,2,4,1] [3,7,1,2,4,5,8,6]=>0100001=>[2,5,1] [1,3,7,2,4,5,8,6]=>0010001=>[3,4,1] [3,1,2,4,7,5,8,6]=>1000101=>[1,4,2,1] [1,3,2,4,7,5,8,6]=>0100101=>[2,3,2,1] [1,3,4,2,7,5,8,6]=>0010101=>[3,2,2,1] [3,1,2,4,7,8,5,6]=>1000010=>[1,5,2] [1,3,2,4,7,8,5,6]=>0100010=>[2,4,2] [1,3,4,2,7,8,5,6]=>0010010=>[3,3,2] [1,3,4,7,8,2,5,6]=>0000100=>[5,3] [3,1,7,2,4,5,6,8]=>1010000=>[1,2,5] [3,7,1,2,4,5,6,8]=>0100000=>[2,6] [1,3,2,7,4,5,6,8]=>0101000=>[2,2,4] [1,3,7,2,4,5,6,8]=>0010000=>[3,5] [3,1,2,4,7,5,6,8]=>1000100=>[1,4,3] [1,3,4,7,2,5,6,8]=>0001000=>[4,4] [3,1,2,4,5,7,6,8]=>1000010=>[1,5,2] [1,3,4,5,7,2,6,8]=>0000100=>[5,3] [3,1,2,4,5,7,8,6]=>1000001=>[1,6,1] [1,3,4,5,7,2,8,6]=>0000101=>[5,2,1] [1,3,4,5,7,8,2,6]=>0000010=>[6,2] [3,1,8,2,4,5,6,7]=>1010000=>[1,2,5] [3,8,1,2,4,5,6,7]=>0100000=>[2,6] [3,1,2,8,4,5,6,7]=>1001000=>[1,3,4] [1,3,2,8,4,5,6,7]=>0101000=>[2,2,4] [1,3,8,2,4,5,6,7]=>0010000=>[3,5] [3,1,2,4,8,5,6,7]=>1000100=>[1,4,3] [1,3,2,4,8,5,6,7]=>0100100=>[2,3,3] [1,3,4,2,8,5,6,7]=>0010100=>[3,2,3] [1,3,4,8,2,5,6,7]=>0001000=>[4,4] [3,1,2,4,5,8,6,7]=>1000010=>[1,5,2] [1,3,2,4,5,8,6,7]=>0100010=>[2,4,2] [1,3,4,2,5,8,6,7]=>0010010=>[3,3,2] [1,3,4,5,2,8,6,7]=>0001010=>[4,2,2] [1,3,4,5,8,2,6,7]=>0000100=>[5,3] [3,1,2,4,5,6,8,7]=>1000001=>[1,6,1] [1,3,4,5,6,8,2,7]=>0000010=>[6,2] [4,1,5,2,6,3,8,7]=>1010101=>[1,2,2,2,1] [4,5,1,2,6,3,8,7]=>0100101=>[2,3,2,1] [4,1,5,6,2,3,8,7]=>1001001=>[1,3,3,1] [4,5,1,6,2,3,8,7]=>0101001=>[2,2,3,1] [4,5,6,1,2,3,8,7]=>0010001=>[3,4,1] [4,1,5,2,6,8,3,7]=>1010010=>[1,2,3,2] [4,5,1,2,6,8,3,7]=>0100010=>[2,4,2] [4,1,5,6,2,8,3,7]=>1001010=>[1,3,2,2] [4,5,1,6,2,8,3,7]=>0101010=>[2,2,2,2] [4,5,6,1,2,8,3,7]=>0010010=>[3,3,2] [4,1,5,6,8,2,3,7]=>1000100=>[1,4,3] [4,5,1,6,8,2,3,7]=>0100100=>[2,3,3] [4,5,6,1,8,2,3,7]=>0010100=>[3,2,3] [4,5,6,8,1,2,3,7]=>0001000=>[4,4] [4,1,5,2,6,3,7,8]=>1010100=>[1,2,2,3] [4,1,5,6,2,3,7,8]=>1001000=>[1,3,4] [4,5,1,6,2,3,7,8]=>0101000=>[2,2,4] [4,5,1,2,6,7,3,8]=>0100010=>[2,4,2] [4,5,1,6,2,7,3,8]=>0101010=>[2,2,2,2] [4,5,6,1,2,7,3,8]=>0010010=>[3,3,2] [4,1,5,6,7,2,3,8]=>1000100=>[1,4,3] [4,5,1,6,7,2,3,8]=>0100100=>[2,3,3] [4,5,6,1,7,2,3,8]=>0010100=>[3,2,3] [4,1,5,2,6,7,8,3]=>1010001=>[1,2,4,1] [4,5,1,2,6,7,8,3]=>0100001=>[2,5,1] [4,5,1,6,2,7,8,3]=>0101001=>[2,2,3,1] [4,5,6,1,2,7,8,3]=>0010001=>[3,4,1] [4,1,5,6,7,2,8,3]=>1000101=>[1,4,2,1] [4,5,1,6,7,2,8,3]=>0100101=>[2,3,2,1] [4,5,6,1,7,2,8,3]=>0010101=>[3,2,2,1] [4,5,6,7,1,2,8,3]=>0001001=>[4,3,1] [4,1,5,6,7,8,2,3]=>1000010=>[1,5,2] [4,5,1,6,7,8,2,3]=>0100010=>[2,4,2] [4,5,6,1,7,8,2,3]=>0010010=>[3,3,2] [4,5,6,7,1,8,2,3]=>0001010=>[4,2,2] [4,1,5,2,7,3,8,6]=>1010101=>[1,2,2,2,1] [4,5,1,7,2,3,8,6]=>0101001=>[2,2,3,1] [4,5,7,1,2,3,8,6]=>0010001=>[3,4,1] [4,1,5,2,7,8,3,6]=>1010010=>[1,2,3,2] [4,5,1,2,7,8,3,6]=>0100010=>[2,4,2] [4,1,5,7,2,8,3,6]=>1001010=>[1,3,2,2] [4,5,1,7,2,8,3,6]=>0101010=>[2,2,2,2] [4,5,7,1,2,8,3,6]=>0010010=>[3,3,2] [4,5,1,7,8,2,3,6]=>0100100=>[2,3,3] [4,5,7,8,1,2,3,6]=>0001000=>[4,4] [4,1,5,2,7,3,6,8]=>1010100=>[1,2,2,3] [4,5,1,2,7,3,6,8]=>0100100=>[2,3,3] [4,1,5,7,2,3,6,8]=>1001000=>[1,3,4] [4,5,1,7,2,3,6,8]=>0101000=>[2,2,4] [4,1,5,2,3,7,6,8]=>1010010=>[1,2,3,2] [4,5,1,2,3,7,6,8]=>0100010=>[2,4,2] [4,1,2,5,3,7,6,8]=>1001010=>[1,3,2,2] [1,4,2,5,3,7,6,8]=>0101010=>[2,2,2,2] [1,4,5,2,3,7,6,8]=>0010010=>[3,3,2] [4,1,2,5,7,3,6,8]=>1000100=>[1,4,3] [1,4,2,5,7,3,6,8]=>0100100=>[2,3,3] [1,4,5,2,7,3,6,8]=>0010100=>[3,2,3] [1,4,5,7,2,3,6,8]=>0001000=>[4,4] [4,1,5,2,3,7,8,6]=>1010001=>[1,2,4,1] [4,1,2,5,3,7,8,6]=>1001001=>[1,3,3,1] [1,4,2,5,3,7,8,6]=>0101001=>[2,2,3,1] [1,4,5,2,3,7,8,6]=>0010001=>[3,4,1] [4,1,2,5,7,3,8,6]=>1000101=>[1,4,2,1] [1,4,2,5,7,3,8,6]=>0100101=>[2,3,2,1] [1,4,5,2,7,3,8,6]=>0010101=>[3,2,2,1] [1,4,5,7,2,3,8,6]=>0001001=>[4,3,1] [4,1,2,5,7,8,3,6]=>1000010=>[1,5,2] [1,4,2,5,7,8,3,6]=>0100010=>[2,4,2] [1,4,5,2,7,8,3,6]=>0010010=>[3,3,2] [1,4,5,7,8,2,3,6]=>0000100=>[5,3] [4,1,5,2,8,3,6,7]=>1010100=>[1,2,2,3] [4,5,1,2,8,3,6,7]=>0100100=>[2,3,3] [4,1,5,8,2,3,6,7]=>1001000=>[1,3,4] [4,5,1,8,2,3,6,7]=>0101000=>[2,2,4] [4,5,8,1,2,3,6,7]=>0010000=>[3,5] [4,1,5,2,3,8,6,7]=>1010010=>[1,2,3,2] [4,5,1,2,3,8,6,7]=>0100010=>[2,4,2] [4,1,2,5,3,8,6,7]=>1001010=>[1,3,2,2] [1,4,2,5,3,8,6,7]=>0101010=>[2,2,2,2] [1,4,5,2,3,8,6,7]=>0010010=>[3,3,2] [4,1,2,5,8,3,6,7]=>1000100=>[1,4,3] [1,4,2,5,8,3,6,7]=>0100100=>[2,3,3] [1,4,5,2,8,3,6,7]=>0010100=>[3,2,3] [1,4,5,8,2,3,6,7]=>0001000=>[4,4] [1,4,2,5,3,6,8,7]=>0101001=>[2,2,3,1] [4,1,2,5,6,3,8,7]=>1000101=>[1,4,2,1] [1,4,5,2,6,3,8,7]=>0010101=>[3,2,2,1] [1,4,5,6,2,3,8,7]=>0001001=>[4,3,1] [4,1,2,5,6,8,3,7]=>1000010=>[1,5,2] [1,4,2,5,6,8,3,7]=>0100010=>[2,4,2] [1,4,5,2,6,8,3,7]=>0010010=>[3,3,2] [1,4,5,6,2,8,3,7]=>0001010=>[4,2,2] [1,4,5,6,8,2,3,7]=>0000100=>[5,3] [4,1,5,2,3,6,7,8]=>1010000=>[1,2,5] [4,1,2,5,3,6,7,8]=>1001000=>[1,3,4] [1,4,2,5,3,6,7,8]=>0101000=>[2,2,4] [1,4,5,2,3,6,7,8]=>0010000=>[3,5] [4,1,2,5,6,3,7,8]=>1000100=>[1,4,3] [1,4,5,2,6,3,7,8]=>0010100=>[3,2,3] [1,4,5,6,2,3,7,8]=>0001000=>[4,4] [4,1,2,5,6,7,3,8]=>1000010=>[1,5,2] [1,4,2,5,6,7,3,8]=>0100010=>[2,4,2] [1,4,5,2,6,7,3,8]=>0010010=>[3,3,2] [1,4,5,6,2,7,3,8]=>0001010=>[4,2,2] [1,4,5,6,7,2,3,8]=>0000100=>[5,3] [4,1,2,5,6,7,8,3]=>1000001=>[1,6,1] [1,4,2,5,6,7,8,3]=>0100001=>[2,5,1] [1,4,5,2,6,7,8,3]=>0010001=>[3,4,1] [1,4,5,6,2,7,8,3]=>0001001=>[4,3,1] [1,4,5,6,7,2,8,3]=>0000101=>[5,2,1] [1,4,5,6,7,8,2,3]=>0000010=>[6,2] [4,1,6,2,7,3,8,5]=>1010101=>[1,2,2,2,1] [4,1,6,7,2,3,8,5]=>1001001=>[1,3,3,1] [4,6,7,1,2,3,8,5]=>0010001=>[3,4,1] [4,6,1,2,7,8,3,5]=>0100010=>[2,4,2] [4,6,1,7,2,8,3,5]=>0101010=>[2,2,2,2] [4,6,7,1,2,8,3,5]=>0010010=>[3,3,2] [4,1,6,7,8,2,3,5]=>1000100=>[1,4,3] [4,6,1,7,8,2,3,5]=>0100100=>[2,3,3] [4,6,7,1,8,2,3,5]=>0010100=>[3,2,3] [4,6,7,8,1,2,3,5]=>0001000=>[4,4] [4,1,6,2,7,3,5,8]=>1010100=>[1,2,2,3] [4,6,1,2,7,3,5,8]=>0100100=>[2,3,3] [4,1,6,7,2,3,5,8]=>1001000=>[1,3,4] [4,6,1,7,2,3,5,8]=>0101000=>[2,2,4] [4,6,7,1,2,3,5,8]=>0010000=>[3,5] [4,1,6,2,3,7,5,8]=>1010010=>[1,2,3,2] [4,6,1,2,3,7,5,8]=>0100010=>[2,4,2] [4,1,2,6,3,7,5,8]=>1001010=>[1,3,2,2] [1,4,2,6,3,7,5,8]=>0101010=>[2,2,2,2] [4,1,2,6,7,3,5,8]=>1000100=>[1,4,3] [1,4,2,6,7,3,5,8]=>0100100=>[2,3,3] [1,4,6,2,7,3,5,8]=>0010100=>[3,2,3] [1,4,6,7,2,3,5,8]=>0001000=>[4,4] [4,1,6,2,3,7,8,5]=>1010001=>[1,2,4,1] [4,1,2,6,3,7,8,5]=>1001001=>[1,3,3,1] [1,4,6,2,3,7,8,5]=>0010001=>[3,4,1] [4,1,2,6,7,3,8,5]=>1000101=>[1,4,2,1] [1,4,6,2,7,3,8,5]=>0010101=>[3,2,2,1] [1,4,6,7,2,3,8,5]=>0001001=>[4,3,1] [1,4,2,6,7,8,3,5]=>0100010=>[2,4,2] [1,4,6,2,7,8,3,5]=>0010010=>[3,3,2] [1,4,6,7,2,8,3,5]=>0001010=>[4,2,2] [1,4,6,7,8,2,3,5]=>0000100=>[5,3] [4,1,6,2,8,3,5,7]=>1010100=>[1,2,2,3] [4,6,1,2,8,3,5,7]=>0100100=>[2,3,3] [4,1,6,8,2,3,5,7]=>1001000=>[1,3,4] [4,6,1,8,2,3,5,7]=>0101000=>[2,2,4] [4,6,8,1,2,3,5,7]=>0010000=>[3,5] [4,1,6,2,3,8,5,7]=>1010010=>[1,2,3,2] [4,6,1,2,3,8,5,7]=>0100010=>[2,4,2] [4,1,2,6,3,8,5,7]=>1001010=>[1,3,2,2] [1,4,2,6,3,8,5,7]=>0101010=>[2,2,2,2] [1,4,6,2,3,8,5,7]=>0010010=>[3,3,2] [1,4,2,6,8,3,5,7]=>0100100=>[2,3,3] [1,4,6,2,8,3,5,7]=>0010100=>[3,2,3] [1,4,6,8,2,3,5,7]=>0001000=>[4,4] [4,1,6,2,3,5,8,7]=>1010001=>[1,2,4,1] [4,6,1,2,3,5,8,7]=>0100001=>[2,5,1] [4,1,2,6,3,5,8,7]=>1001001=>[1,3,3,1] [1,4,2,6,3,5,8,7]=>0101001=>[2,2,3,1] [1,4,6,2,3,5,8,7]=>0010001=>[3,4,1] [4,1,2,3,6,5,8,7]=>1000101=>[1,4,2,1] [1,4,2,3,6,5,8,7]=>0100101=>[2,3,2,1] [1,2,4,6,3,5,8,7]=>0001001=>[4,3,1] [4,1,2,3,6,8,5,7]=>1000010=>[1,5,2] [1,2,4,3,6,8,5,7]=>0010010=>[3,3,2] [1,2,4,6,8,3,5,7]=>0000100=>[5,3] [4,1,6,2,3,5,7,8]=>1010000=>[1,2,5] [4,6,1,2,3,5,7,8]=>0100000=>[2,6] [1,4,2,6,3,5,7,8]=>0101000=>[2,2,4] [1,4,6,2,3,5,7,8]=>0010000=>[3,5] [4,1,2,3,6,5,7,8]=>1000100=>[1,4,3] [1,4,2,3,6,5,7,8]=>0100100=>[2,3,3] [1,2,4,6,3,5,7,8]=>0001000=>[4,4] [4,1,2,3,6,7,5,8]=>1000010=>[1,5,2] [1,4,2,3,6,7,5,8]=>0100010=>[2,4,2] [1,2,4,6,7,3,5,8]=>0000100=>[5,3] [4,1,2,3,6,7,8,5]=>1000001=>[1,6,1] [1,4,2,3,6,7,8,5]=>0100001=>[2,5,1] [1,2,4,6,7,3,8,5]=>0000101=>[5,2,1] [1,2,4,6,7,8,3,5]=>0000010=>[6,2] [4,1,7,2,8,3,5,6]=>1010100=>[1,2,2,3] [4,7,1,2,8,3,5,6]=>0100100=>[2,3,3] [4,1,7,8,2,3,5,6]=>1001000=>[1,3,4] [4,7,1,8,2,3,5,6]=>0101000=>[2,2,4] [4,7,8,1,2,3,5,6]=>0010000=>[3,5] [4,7,1,2,3,8,5,6]=>0100010=>[2,4,2] [1,4,2,7,3,8,5,6]=>0101010=>[2,2,2,2] [1,4,7,2,3,8,5,6]=>0010010=>[3,3,2] [4,1,2,7,8,3,5,6]=>1000100=>[1,4,3] [1,4,2,7,8,3,5,6]=>0100100=>[2,3,3] [1,4,7,2,8,3,5,6]=>0010100=>[3,2,3] [1,4,7,8,2,3,5,6]=>0001000=>[4,4] [4,1,7,2,3,5,8,6]=>1010001=>[1,2,4,1] [4,7,1,2,3,5,8,6]=>0100001=>[2,5,1] [4,1,2,7,3,5,8,6]=>1001001=>[1,3,3,1] [1,4,2,7,3,5,8,6]=>0101001=>[2,2,3,1] [1,4,7,2,3,5,8,6]=>0010001=>[3,4,1] [4,1,2,3,7,5,8,6]=>1000101=>[1,4,2,1] [1,4,2,3,7,5,8,6]=>0100101=>[2,3,2,1] [1,2,4,3,7,5,8,6]=>0010101=>[3,2,2,1] [1,2,4,7,3,5,8,6]=>0001001=>[4,3,1] [4,1,2,3,7,8,5,6]=>1000010=>[1,5,2] [1,4,2,3,7,8,5,6]=>0100010=>[2,4,2] [1,2,4,3,7,8,5,6]=>0010010=>[3,3,2] [1,2,4,7,3,8,5,6]=>0001010=>[4,2,2] [1,2,4,7,8,3,5,6]=>0000100=>[5,3] [4,1,7,2,3,5,6,8]=>1010000=>[1,2,5] [4,7,1,2,3,5,6,8]=>0100000=>[2,6] [4,1,2,7,3,5,6,8]=>1001000=>[1,3,4] [1,4,2,7,3,5,6,8]=>0101000=>[2,2,4] [1,4,7,2,3,5,6,8]=>0010000=>[3,5] [4,1,2,3,7,5,6,8]=>1000100=>[1,4,3] [1,4,2,3,7,5,6,8]=>0100100=>[2,3,3] [1,2,4,3,7,5,6,8]=>0010100=>[3,2,3] [1,2,4,7,3,5,6,8]=>0001000=>[4,4] [4,1,2,3,5,7,6,8]=>1000010=>[1,5,2] [1,4,2,3,5,7,6,8]=>0100010=>[2,4,2] [1,2,4,5,7,3,6,8]=>0000100=>[5,3] [4,1,2,3,5,7,8,6]=>1000001=>[1,6,1] [1,4,2,3,5,7,8,6]=>0100001=>[2,5,1] [1,2,4,5,7,3,8,6]=>0000101=>[5,2,1] [1,2,4,5,7,8,3,6]=>0000010=>[6,2] [4,1,8,2,3,5,6,7]=>1010000=>[1,2,5] [4,8,1,2,3,5,6,7]=>0100000=>[2,6] [4,1,2,8,3,5,6,7]=>1001000=>[1,3,4] [1,4,2,8,3,5,6,7]=>0101000=>[2,2,4] [1,4,8,2,3,5,6,7]=>0010000=>[3,5] [4,1,2,3,8,5,6,7]=>1000100=>[1,4,3] [1,4,2,3,8,5,6,7]=>0100100=>[2,3,3] [1,2,4,3,8,5,6,7]=>0010100=>[3,2,3] [1,2,4,8,3,5,6,7]=>0001000=>[4,4] [4,1,2,3,5,8,6,7]=>1000010=>[1,5,2] [1,4,2,3,5,8,6,7]=>0100010=>[2,4,2] [1,2,4,3,5,8,6,7]=>0010010=>[3,3,2] [1,2,4,5,3,8,6,7]=>0001010=>[4,2,2] [1,2,4,5,8,3,6,7]=>0000100=>[5,3] [4,1,2,3,5,6,8,7]=>1000001=>[1,6,1] [1,4,2,3,5,6,8,7]=>0100001=>[2,5,1] [1,2,4,5,6,8,3,7]=>0000010=>[6,2] [1,4,2,3,5,6,7,8]=>0100000=>[2,6] [5,1,6,2,7,3,8,4]=>1010101=>[1,2,2,2,1] [5,6,1,2,7,3,8,4]=>0100101=>[2,3,2,1] [5,1,6,7,2,3,8,4]=>1001001=>[1,3,3,1] [5,6,1,7,2,3,8,4]=>0101001=>[2,2,3,1] [5,6,7,1,2,3,8,4]=>0010001=>[3,4,1] [5,6,1,2,7,8,3,4]=>0100010=>[2,4,2] [5,1,6,7,2,8,3,4]=>1001010=>[1,3,2,2] [5,6,7,1,2,8,3,4]=>0010010=>[3,3,2] [5,1,6,7,8,2,3,4]=>1000100=>[1,4,3] [5,6,1,7,8,2,3,4]=>0100100=>[2,3,3] [5,6,7,1,8,2,3,4]=>0010100=>[3,2,3] [5,1,6,2,7,3,4,8]=>1010100=>[1,2,2,3] [5,6,1,2,7,3,4,8]=>0100100=>[2,3,3] [5,6,1,7,2,3,4,8]=>0101000=>[2,2,4] [5,1,6,2,3,7,4,8]=>1010010=>[1,2,3,2] [5,1,2,6,3,7,4,8]=>1001010=>[1,3,2,2] [1,5,2,6,3,7,4,8]=>0101010=>[2,2,2,2] [5,1,2,6,7,3,4,8]=>1000100=>[1,4,3] [1,5,2,6,7,3,4,8]=>0100100=>[2,3,3] [1,5,6,2,7,3,4,8]=>0010100=>[3,2,3] [1,5,6,7,2,3,4,8]=>0001000=>[4,4] [5,1,6,2,3,7,8,4]=>1010001=>[1,2,4,1] [5,6,1,2,3,7,8,4]=>0100001=>[2,5,1] [5,1,2,6,3,7,8,4]=>1001001=>[1,3,3,1] [1,5,2,6,3,7,8,4]=>0101001=>[2,2,3,1] [1,5,6,2,3,7,8,4]=>0010001=>[3,4,1] [5,1,2,6,7,3,8,4]=>1000101=>[1,4,2,1] [1,5,6,7,2,3,8,4]=>0001001=>[4,3,1] [5,1,2,6,7,8,3,4]=>1000010=>[1,5,2] [1,5,2,6,7,8,3,4]=>0100010=>[2,4,2] [1,5,6,2,7,8,3,4]=>0010010=>[3,3,2] [1,5,6,7,2,8,3,4]=>0001010=>[4,2,2] [1,5,6,7,8,2,3,4]=>0000100=>[5,3] [5,1,6,2,8,3,4,7]=>1010100=>[1,2,2,3] [5,6,1,2,8,3,4,7]=>0100100=>[2,3,3] [5,6,1,8,2,3,4,7]=>0101000=>[2,2,4] [5,6,8,1,2,3,4,7]=>0010000=>[3,5] [5,1,6,2,3,8,4,7]=>1010010=>[1,2,3,2] [5,6,1,2,3,8,4,7]=>0100010=>[2,4,2] [5,1,2,6,3,8,4,7]=>1001010=>[1,3,2,2] [1,5,2,6,3,8,4,7]=>0101010=>[2,2,2,2] [1,5,6,2,3,8,4,7]=>0010010=>[3,3,2] [5,1,2,6,8,3,4,7]=>1000100=>[1,4,3] [1,5,2,6,8,3,4,7]=>0100100=>[2,3,3] [1,5,6,2,8,3,4,7]=>0010100=>[3,2,3] [1,5,6,8,2,3,4,7]=>0001000=>[4,4] [5,1,6,2,3,4,8,7]=>1010001=>[1,2,4,1] [5,6,1,2,3,4,8,7]=>0100001=>[2,5,1] [5,1,2,6,3,4,8,7]=>1001001=>[1,3,3,1] [1,5,2,6,3,4,8,7]=>0101001=>[2,2,3,1] [1,5,6,2,3,4,8,7]=>0010001=>[3,4,1] [1,5,2,3,6,4,8,7]=>0100101=>[2,3,2,1] [1,2,5,3,6,4,8,7]=>0010101=>[3,2,2,1] [1,2,5,6,3,4,8,7]=>0001001=>[4,3,1] [5,1,2,3,6,8,4,7]=>1000010=>[1,5,2] [1,5,2,3,6,8,4,7]=>0100010=>[2,4,2] [1,2,5,6,3,8,4,7]=>0001010=>[4,2,2] [5,1,6,2,3,4,7,8]=>1010000=>[1,2,5] [5,1,2,6,3,4,7,8]=>1001000=>[1,3,4] [1,5,2,6,3,4,7,8]=>0101000=>[2,2,4] [1,5,6,2,3,4,7,8]=>0010000=>[3,5] [5,1,2,3,6,4,7,8]=>1000100=>[1,4,3] [1,5,2,3,6,4,7,8]=>0100100=>[2,3,3] [1,2,5,3,6,4,7,8]=>0010100=>[3,2,3] [1,2,5,6,3,4,7,8]=>0001000=>[4,4] [5,1,2,3,6,7,4,8]=>1000010=>[1,5,2] [1,5,2,3,6,7,4,8]=>0100010=>[2,4,2] [1,2,5,3,6,7,4,8]=>0010010=>[3,3,2] [1,2,5,6,3,7,4,8]=>0001010=>[4,2,2] [5,1,2,3,6,7,8,4]=>1000001=>[1,6,1] [1,5,2,3,6,7,8,4]=>0100001=>[2,5,1] [1,2,5,3,6,7,8,4]=>0010001=>[3,4,1] [1,2,5,6,3,7,8,4]=>0001001=>[4,3,1] [1,2,5,6,7,3,8,4]=>0000101=>[5,2,1] [1,2,5,6,7,8,3,4]=>0000010=>[6,2] [5,1,7,2,8,3,4,6]=>1010100=>[1,2,2,3] [5,7,1,2,8,3,4,6]=>0100100=>[2,3,3] [5,1,7,8,2,3,4,6]=>1001000=>[1,3,4] [5,7,1,8,2,3,4,6]=>0101000=>[2,2,4] [5,7,8,1,2,3,4,6]=>0010000=>[3,5] [5,1,7,2,3,8,4,6]=>1010010=>[1,2,3,2] [5,7,1,2,3,8,4,6]=>0100010=>[2,4,2] [5,1,2,7,3,8,4,6]=>1001010=>[1,3,2,2] [1,5,2,7,3,8,4,6]=>0101010=>[2,2,2,2] [1,5,7,2,3,8,4,6]=>0010010=>[3,3,2] [5,1,2,7,8,3,4,6]=>1000100=>[1,4,3] [1,5,2,7,8,3,4,6]=>0100100=>[2,3,3] [1,5,7,2,8,3,4,6]=>0010100=>[3,2,3] [1,5,7,8,2,3,4,6]=>0001000=>[4,4] [5,1,7,2,3,4,8,6]=>1010001=>[1,2,4,1] [5,7,1,2,3,4,8,6]=>0100001=>[2,5,1] [5,1,2,7,3,4,8,6]=>1001001=>[1,3,3,1] [1,5,2,7,3,4,8,6]=>0101001=>[2,2,3,1] [1,5,7,2,3,4,8,6]=>0010001=>[3,4,1] [5,1,2,3,7,4,8,6]=>1000101=>[1,4,2,1] [1,5,2,3,7,4,8,6]=>0100101=>[2,3,2,1] [1,2,5,3,7,4,8,6]=>0010101=>[3,2,2,1] [1,2,5,7,3,4,8,6]=>0001001=>[4,3,1] [5,1,2,3,7,8,4,6]=>1000010=>[1,5,2] [1,5,2,3,7,8,4,6]=>0100010=>[2,4,2] [1,2,5,7,3,8,4,6]=>0001010=>[4,2,2] [1,2,5,7,8,3,4,6]=>0000100=>[5,3] [5,7,1,2,3,4,6,8]=>0100000=>[2,6] [5,1,2,7,3,4,6,8]=>1001000=>[1,3,4] [1,5,2,7,3,4,6,8]=>0101000=>[2,2,4] [1,5,7,2,3,4,6,8]=>0010000=>[3,5] [1,5,2,3,7,4,6,8]=>0100100=>[2,3,3] [1,2,5,3,7,4,6,8]=>0010100=>[3,2,3] [1,2,5,7,3,4,6,8]=>0001000=>[4,4] [1,5,2,3,4,7,6,8]=>0100010=>[2,4,2] [1,2,5,3,4,7,6,8]=>0010010=>[3,3,2] [1,2,3,5,7,4,6,8]=>0000100=>[5,3] [5,1,2,3,4,7,8,6]=>1000001=>[1,6,1] [1,5,2,3,4,7,8,6]=>0100001=>[2,5,1] [1,2,5,3,4,7,8,6]=>0010001=>[3,4,1] [1,2,3,5,7,4,8,6]=>0000101=>[5,2,1] [1,2,3,5,7,8,4,6]=>0000010=>[6,2] [5,1,8,2,3,4,6,7]=>1010000=>[1,2,5] [5,8,1,2,3,4,6,7]=>0100000=>[2,6] [5,1,2,8,3,4,6,7]=>1001000=>[1,3,4] [1,5,2,8,3,4,6,7]=>0101000=>[2,2,4] [1,5,8,2,3,4,6,7]=>0010000=>[3,5] [5,1,2,3,8,4,6,7]=>1000100=>[1,4,3] [1,5,2,3,8,4,6,7]=>0100100=>[2,3,3] [1,2,5,3,8,4,6,7]=>0010100=>[3,2,3] [1,2,5,8,3,4,6,7]=>0001000=>[4,4] [5,1,2,3,4,8,6,7]=>1000010=>[1,5,2] [1,5,2,3,4,8,6,7]=>0100010=>[2,4,2] [1,2,5,3,4,8,6,7]=>0010010=>[3,3,2] [1,2,3,5,4,8,6,7]=>0001010=>[4,2,2] [1,2,3,5,8,4,6,7]=>0000100=>[5,3] [5,1,2,3,4,6,8,7]=>1000001=>[1,6,1] [1,5,2,3,4,6,8,7]=>0100001=>[2,5,1] [1,2,5,3,4,6,8,7]=>0010001=>[3,4,1] [1,2,3,5,6,8,4,7]=>0000010=>[6,2] [1,5,2,3,4,6,7,8]=>0100000=>[2,6] [1,2,5,3,4,6,7,8]=>0010000=>[3,5] [6,1,7,2,8,3,4,5]=>1010100=>[1,2,2,3] [6,7,1,2,8,3,4,5]=>0100100=>[2,3,3] [6,1,7,8,2,3,4,5]=>1001000=>[1,3,4] [6,7,1,8,2,3,4,5]=>0101000=>[2,2,4] [6,1,7,2,3,8,4,5]=>1010010=>[1,2,3,2] [6,7,1,2,3,8,4,5]=>0100010=>[2,4,2] [6,1,2,7,3,8,4,5]=>1001010=>[1,3,2,2] [1,6,2,7,3,8,4,5]=>0101010=>[2,2,2,2] [1,6,7,2,3,8,4,5]=>0010010=>[3,3,2] [6,1,2,7,8,3,4,5]=>1000100=>[1,4,3] [1,6,2,7,8,3,4,5]=>0100100=>[2,3,3] [1,6,7,2,8,3,4,5]=>0010100=>[3,2,3] [1,6,7,8,2,3,4,5]=>0001000=>[4,4] [6,1,7,2,3,4,8,5]=>1010001=>[1,2,4,1] [6,7,1,2,3,4,8,5]=>0100001=>[2,5,1] [6,1,2,7,3,4,8,5]=>1001001=>[1,3,3,1] [1,6,2,7,3,4,8,5]=>0101001=>[2,2,3,1] [1,6,7,2,3,4,8,5]=>0010001=>[3,4,1] [6,1,2,3,7,4,8,5]=>1000101=>[1,4,2,1] [1,6,2,3,7,4,8,5]=>0100101=>[2,3,2,1] [1,2,6,3,7,4,8,5]=>0010101=>[3,2,2,1] [6,1,2,3,7,8,4,5]=>1000010=>[1,5,2] [1,6,2,3,7,8,4,5]=>0100010=>[2,4,2] [1,2,6,3,7,8,4,5]=>0010010=>[3,3,2] [1,2,6,7,3,8,4,5]=>0001010=>[4,2,2] [1,2,6,7,8,3,4,5]=>0000100=>[5,3] [6,1,7,2,3,4,5,8]=>1010000=>[1,2,5] [6,1,2,7,3,4,5,8]=>1001000=>[1,3,4] [1,6,2,7,3,4,5,8]=>0101000=>[2,2,4] [1,6,7,2,3,4,5,8]=>0010000=>[3,5] [6,1,2,3,7,4,5,8]=>1000100=>[1,4,3] [1,6,2,3,7,4,5,8]=>0100100=>[2,3,3] [1,2,6,3,7,4,5,8]=>0010100=>[3,2,3] [1,2,6,7,3,4,5,8]=>0001000=>[4,4] [6,1,2,3,4,7,5,8]=>1000010=>[1,5,2] [1,6,2,3,4,7,5,8]=>0100010=>[2,4,2] [1,2,6,3,4,7,5,8]=>0010010=>[3,3,2] [1,2,3,6,4,7,5,8]=>0001010=>[4,2,2] [1,2,3,6,7,4,5,8]=>0000100=>[5,3] [6,1,2,3,4,7,8,5]=>1000001=>[1,6,1] [1,6,2,3,4,7,8,5]=>0100001=>[2,5,1] [1,2,6,3,4,7,8,5]=>0010001=>[3,4,1] [1,2,3,6,4,7,8,5]=>0001001=>[4,3,1] [1,2,3,6,7,4,8,5]=>0000101=>[5,2,1] [1,2,3,6,7,8,4,5]=>0000010=>[6,2] [6,1,8,2,3,4,5,7]=>1010000=>[1,2,5] [6,8,1,2,3,4,5,7]=>0100000=>[2,6] [6,1,2,8,3,4,5,7]=>1001000=>[1,3,4] [1,6,2,8,3,4,5,7]=>0101000=>[2,2,4] [1,6,8,2,3,4,5,7]=>0010000=>[3,5] [6,1,2,3,8,4,5,7]=>1000100=>[1,4,3] [1,6,2,3,8,4,5,7]=>0100100=>[2,3,3] [1,2,6,3,8,4,5,7]=>0010100=>[3,2,3] [1,2,6,8,3,4,5,7]=>0001000=>[4,4] [6,1,2,3,4,8,5,7]=>1000010=>[1,5,2] [1,6,2,3,4,8,5,7]=>0100010=>[2,4,2] [1,2,6,3,4,8,5,7]=>0010010=>[3,3,2] [1,2,3,6,4,8,5,7]=>0001010=>[4,2,2] [1,2,3,6,8,4,5,7]=>0000100=>[5,3] [6,1,2,3,4,5,8,7]=>1000001=>[1,6,1] [1,6,2,3,4,5,8,7]=>0100001=>[2,5,1] [1,2,6,3,4,5,8,7]=>0010001=>[3,4,1] [1,2,3,6,4,5,8,7]=>0001001=>[4,3,1] [1,2,3,4,6,8,5,7]=>0000010=>[6,2] [1,6,2,3,4,5,7,8]=>0100000=>[2,6] [1,2,6,3,4,5,7,8]=>0010000=>[3,5] [1,2,3,6,4,5,7,8]=>0001000=>[4,4] [7,1,8,2,3,4,5,6]=>1010000=>[1,2,5] [7,1,2,8,3,4,5,6]=>1001000=>[1,3,4] [1,7,2,8,3,4,5,6]=>0101000=>[2,2,4] [1,7,8,2,3,4,5,6]=>0010000=>[3,5] [7,1,2,3,8,4,5,6]=>1000100=>[1,4,3] [1,7,2,3,8,4,5,6]=>0100100=>[2,3,3] [1,2,7,3,8,4,5,6]=>0010100=>[3,2,3] [1,2,7,8,3,4,5,6]=>0001000=>[4,4] [7,1,2,3,4,8,5,6]=>1000010=>[1,5,2] [1,7,2,3,4,8,5,6]=>0100010=>[2,4,2] [1,2,7,3,4,8,5,6]=>0010010=>[3,3,2] [1,2,3,7,4,8,5,6]=>0001010=>[4,2,2] [1,2,3,7,8,4,5,6]=>0000100=>[5,3] [7,1,2,3,4,5,8,6]=>1000001=>[1,6,1] [1,7,2,3,4,5,8,6]=>0100001=>[2,5,1] [1,2,7,3,4,5,8,6]=>0010001=>[3,4,1] [1,2,3,7,4,5,8,6]=>0001001=>[4,3,1] [1,2,3,4,7,5,8,6]=>0000101=>[5,2,1] [1,2,3,4,7,8,5,6]=>0000010=>[6,2] [1,7,2,3,4,5,6,8]=>0100000=>[2,6] [1,2,7,3,4,5,6,8]=>0010000=>[3,5] [1,2,3,7,4,5,6,8]=>0001000=>[4,4] [1,2,3,4,7,5,6,8]=>0000100=>[5,3] [1,8,2,3,4,5,6,7]=>0100000=>[2,6] [1,2,8,3,4,5,6,7]=>0010000=>[3,5] [1,2,3,8,4,5,6,7]=>0001000=>[4,4] [1,2,3,4,8,5,6,7]=>0000100=>[5,3] [1,2,3,4,5,8,6,7]=>0000010=>[6,2] [5,3,2,6,1,4,8,7]=>1101001=>[1,1,2,3,1] [7,3,2,5,4,8,1,6]=>1101010=>[1,1,2,2,2] [8,4,5,2,3,7,6,1]=>1010011=>[1,2,3,1,1] [7,4,5,2,3,8,1,6]=>1010010=>[1,2,3,2] [6,4,5,2,3,1,8,7]=>1010101=>[1,2,2,2,1] [5,4,6,2,1,3,8,7]=>1011001=>[1,2,1,3,1] [3,6,1,5,4,2,8,7]=>0101101=>[2,2,1,2,1] [4,6,5,1,3,2,8,7]=>0110101=>[2,1,2,2,1] [5,6,4,3,1,2,8,7]=>0111001=>[2,1,1,3,1] [7,5,4,3,2,8,1,6]=>1111010=>[1,1,1,1,2,2] [8,6,4,3,7,2,5,1]=>1110101=>[1,1,1,2,2,1] [7,6,4,3,8,2,1,5]=>1110110=>[1,1,1,2,1,2] [6,7,4,3,8,1,2,5]=>0110100=>[2,1,2,3] [5,7,4,3,1,8,2,6]=>0111010=>[2,1,1,2,2] [4,7,5,1,3,8,2,6]=>0110010=>[2,1,3,2] [3,7,1,5,4,8,2,6]=>0101010=>[2,2,2,2] [2,1,7,5,4,8,3,6]=>1011010=>[1,2,1,2,2] [3,8,1,5,4,7,6,2]=>0101011=>[2,2,2,1,1] [4,8,5,1,3,7,6,2]=>0110011=>[2,1,3,1,1] [5,8,4,3,1,7,6,2]=>0111011=>[2,1,1,2,1,1] [6,8,4,3,7,1,5,2]=>0110101=>[2,1,2,2,1] [7,8,4,3,6,5,1,2]=>0110110=>[2,1,2,1,2] [6,8,5,7,3,1,4,2]=>0101101=>[2,2,1,2,1] [5,8,6,7,1,3,4,2]=>0101001=>[2,2,3,1] [4,8,6,1,7,3,5,2]=>0110101=>[2,1,2,2,1] [3,8,1,6,7,4,5,2]=>0100101=>[2,3,2,1] [2,1,8,6,7,4,5,3]=>1010101=>[1,2,2,2,1] [2,1,7,6,8,4,3,5]=>1010110=>[1,2,2,1,2] [3,7,1,6,8,4,2,5]=>0100110=>[2,3,1,2] [4,7,6,1,8,3,2,5]=>0110110=>[2,1,2,1,2] [5,7,6,8,1,3,2,4]=>0101010=>[2,2,2,2] [5,4,7,2,1,8,3,6]=>1011010=>[1,2,1,2,2] [6,4,7,2,8,1,3,5]=>1010100=>[1,2,2,3] [7,4,6,2,8,3,1,5]=>1010110=>[1,2,2,1,2] [8,4,6,2,7,3,5,1]=>1010101=>[1,2,2,2,1] [8,3,2,6,7,4,5,1]=>1100101=>[1,1,3,2,1] [7,3,2,6,8,4,1,5]=>1100110=>[1,1,3,1,2] [6,3,2,7,8,1,4,5]=>1100100=>[1,1,3,3] [5,3,2,7,1,8,4,6]=>1101010=>[1,1,2,2,2] [4,3,2,1,7,8,5,6]=>1110010=>[1,1,1,3,2] [3,4,1,2,8,7,6,5]=>0100111=>[2,3,1,1,1] [5,3,2,8,1,7,6,4]=>1101011=>[1,1,2,2,1,1] [6,3,2,8,7,1,5,4]=>1101101=>[1,1,2,1,2,1] [7,3,2,8,6,5,1,4]=>1101110=>[1,1,2,1,1,2] [8,4,7,2,6,5,3,1]=>1010111=>[1,2,2,1,1,1] [7,4,8,2,6,5,1,3]=>1010110=>[1,2,2,1,2] [6,4,8,2,7,1,5,3]=>1010101=>[1,2,2,2,1] [5,4,8,2,1,7,6,3]=>1011011=>[1,2,1,2,1,1] [4,5,8,1,2,7,6,3]=>0010011=>[3,3,1,1] [3,5,1,8,2,7,6,4]=>0101011=>[2,2,2,1,1] [2,1,5,8,3,7,6,4]=>1001011=>[1,3,2,1,1] [2,1,6,8,7,3,5,4]=>1001101=>[1,3,1,2,1] [3,6,1,8,7,2,5,4]=>0101101=>[2,2,1,2,1] [4,6,8,1,7,2,5,3]=>0010101=>[3,2,2,1] [5,6,8,7,1,2,4,3]=>0011001=>[3,1,3,1] [6,5,8,7,2,1,4,3]=>1011101=>[1,2,1,1,2,1] [7,5,8,6,2,4,1,3]=>1011010=>[1,2,1,2,2] [8,5,7,6,2,4,3,1]=>1011011=>[1,2,1,2,1,1] [5,7,8,6,1,4,2,3]=>0011010=>[3,1,2,2] [4,7,8,1,6,5,2,3]=>0010110=>[3,2,1,2] [3,7,1,8,6,5,2,4]=>0101110=>[2,2,1,1,2] [2,1,7,8,6,5,3,4]=>1001110=>[1,3,1,1,2] [3,8,1,7,6,5,4,2]=>0101111=>[2,2,1,1,1,1] [4,8,7,1,6,5,3,2]=>0110111=>[2,1,2,1,1,1] [5,8,7,6,1,4,3,2]=>0111011=>[2,1,1,2,1,1] [6,8,7,5,4,1,3,2]=>0111101=>[2,1,1,1,2,1] [2,1,4,3,6,5,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [3,4,1,2,6,5,8,7,10,9]=>010010101=>[2,3,2,2,1] [4,3,2,1,6,5,8,7,10,9]=>111010101=>[1,1,1,2,2,2,1] [6,3,2,5,4,1,8,7,10,9]=>110110101=>[1,1,2,1,2,2,1] [8,3,2,5,4,7,6,1,10,9]=>110101101=>[1,1,2,2,1,2,1] [10,3,2,5,4,7,6,9,8,1]=>110101011=>[1,1,2,2,2,1,1] [4,5,6,1,2,3,8,7,10,9]=>001000101=>[3,4,2,1] [3,5,1,6,2,4,8,7,10,9]=>010100101=>[2,2,3,2,1] [2,1,5,6,3,4,8,7,10,9]=>100100101=>[1,3,3,2,1] [2,1,6,5,4,3,8,7,10,9]=>101110101=>[1,2,1,1,2,2,1] [6,5,4,3,2,1,8,7,10,9]=>111110101=>[1,1,1,1,1,2,2,1] [8,5,4,3,2,7,6,1,10,9]=>111101101=>[1,1,1,1,2,1,2,1] [10,5,4,3,2,7,6,9,8,1]=>111101011=>[1,1,1,1,2,2,1,1] [2,1,8,5,4,7,6,3,10,9]=>101101101=>[1,2,1,2,1,2,1] [8,7,4,3,6,5,2,1,10,9]=>111011101=>[1,1,1,2,1,1,2,1] [10,7,4,3,6,5,2,9,8,1]=>111011011=>[1,1,1,2,1,2,1,1] [2,1,10,5,4,7,6,9,8,3]=>101101011=>[1,2,1,2,2,1,1] [10,9,4,3,6,5,8,7,2,1]=>111010111=>[1,1,1,2,2,1,1,1] [8,9,5,6,3,4,10,1,2,7]=>010100100=>[2,2,3,3] [5,6,7,8,1,2,3,4,10,9]=>000100001=>[4,5,1] [4,6,7,1,8,2,3,5,10,9]=>001010001=>[3,2,4,1] [3,6,1,7,8,2,4,5,10,9]=>010010001=>[2,3,4,1] [2,1,6,7,8,3,4,5,10,9]=>100010001=>[1,4,4,1] [2,1,5,7,3,8,4,6,10,9]=>100101001=>[1,3,2,3,1] [3,5,1,7,2,8,4,6,10,9]=>010101001=>[2,2,2,3,1] [4,5,7,1,2,8,3,6,10,9]=>001001001=>[3,3,3,1] [3,4,1,2,7,8,5,6,10,9]=>010001001=>[2,4,3,1] [2,1,4,3,7,8,5,6,10,9]=>101001001=>[1,2,3,3,1] [2,1,4,3,8,7,6,5,10,9]=>101011101=>[1,2,2,1,1,2,1] [4,3,2,1,8,7,6,5,10,9]=>111011101=>[1,1,1,2,1,1,2,1] [8,3,2,7,6,5,4,1,10,9]=>110111101=>[1,1,2,1,1,1,2,1] [10,3,2,7,6,5,4,9,8,1]=>110111011=>[1,1,2,1,1,2,1,1] [2,1,8,7,6,5,4,3,10,9]=>101111101=>[1,2,1,1,1,1,2,1] [8,7,6,5,4,3,2,1,10,9]=>111111101=>[1,1,1,1,1,1,1,2,1] [9,7,6,5,4,3,2,10,1,8]=>111111010=>[1,1,1,1,1,1,2,2] [10,7,6,5,4,3,2,9,8,1]=>111111011=>[1,1,1,1,1,1,2,1,1] [2,1,10,7,6,5,4,9,8,3]=>101111011=>[1,2,1,1,1,2,1,1] [10,9,6,5,4,3,8,7,2,1]=>111110111=>[1,1,1,1,1,2,1,1,1] [2,1,4,3,10,7,6,9,8,5]=>101011011=>[1,2,2,1,2,1,1] [4,3,2,1,10,7,6,9,8,5]=>111011011=>[1,1,1,2,1,2,1,1] [10,3,2,9,6,5,8,7,4,1]=>110110111=>[1,1,2,1,2,1,1,1] [2,1,10,9,6,5,8,7,4,3]=>101110111=>[1,2,1,1,2,1,1,1] [10,9,8,5,4,7,6,3,2,1]=>111101111=>[1,1,1,1,2,1,1,1,1] [10,8,9,6,7,4,5,2,3,1]=>101010101=>[1,2,2,2,2,1] [2,1,7,8,9,10,3,4,5,6]=>100001000=>[1,5,4] [3,7,1,8,9,10,2,4,5,6]=>010001000=>[2,4,4] [4,7,8,1,9,10,2,3,5,6]=>001001000=>[3,3,4] [5,7,8,9,1,10,2,3,4,6]=>000101000=>[4,2,4] [6,7,8,9,10,1,2,3,4,5]=>000010000=>[5,5] [5,6,8,9,1,2,10,3,4,7]=>000100100=>[4,3,3] [4,6,8,1,9,2,10,3,5,7]=>001010100=>[3,2,2,3] [3,6,1,8,9,2,10,4,5,7]=>010010100=>[2,3,2,3] [2,1,6,8,9,3,10,4,5,7]=>100010100=>[1,4,2,3] [2,1,5,8,3,9,10,4,6,7]=>100100100=>[1,3,3,3] [3,5,1,8,2,9,10,4,6,7]=>010100100=>[2,2,3,3] [4,5,8,1,2,9,10,3,6,7]=>001000100=>[3,4,3] [7,3,2,8,9,10,1,4,5,6]=>110001000=>[1,1,4,4] [3,4,1,2,8,9,10,5,6,7]=>010000100=>[2,5,3] [2,1,4,3,8,9,10,5,6,7]=>101000100=>[1,2,4,3] [2,1,4,3,7,9,5,10,6,8]=>101001010=>[1,2,3,2,2] [3,4,1,2,7,9,5,10,6,8]=>010001010=>[2,4,2,2] [4,5,7,1,2,9,3,10,6,8]=>001001010=>[3,3,2,2] [3,5,1,7,2,9,4,10,6,8]=>010101010=>[2,2,2,2,2] [2,1,5,7,3,9,4,10,6,8]=>100101010=>[1,3,2,2,2] [2,1,6,7,9,3,4,10,5,8]=>100010010=>[1,4,3,2] [3,6,1,7,9,2,4,10,5,8]=>010010010=>[2,3,3,2] [4,6,7,1,9,2,3,10,5,8]=>001010010=>[3,2,3,2] [5,6,7,9,1,2,3,10,4,8]=>000100010=>[4,4,2] [8,5,4,3,2,9,10,1,6,7]=>111100100=>[1,1,1,1,3,3] [2,1,5,6,3,4,9,10,7,8]=>100100010=>[1,3,4,2] [3,5,1,6,2,4,9,10,7,8]=>010100010=>[2,2,4,2] [4,5,6,1,2,3,9,10,7,8]=>001000010=>[3,5,2] [3,4,1,2,6,5,9,10,7,8]=>010010010=>[2,3,3,2] [2,1,4,3,6,5,9,10,7,8]=>101010010=>[1,2,2,3,2] [2,1,4,3,6,5,10,9,8,7]=>101010111=>[1,2,2,2,1,1,1] [4,3,2,1,6,5,10,9,8,7]=>111010111=>[1,1,1,2,2,1,1,1] [6,3,2,5,4,1,10,9,8,7]=>110110111=>[1,1,2,1,2,1,1,1] [10,3,2,5,4,9,8,7,6,1]=>110101111=>[1,1,2,2,1,1,1,1] [2,1,6,5,4,3,10,9,8,7]=>101110111=>[1,2,1,1,2,1,1,1] [6,5,4,3,2,1,10,9,8,7]=>111110111=>[1,1,1,1,1,2,1,1,1] [10,5,4,3,2,9,8,7,6,1]=>111101111=>[1,1,1,1,2,1,1,1,1] [2,1,10,5,4,9,8,7,6,3]=>101101111=>[1,2,1,2,1,1,1,1] [10,9,4,3,8,7,6,5,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [9,7,5,10,3,8,2,6,1,4]=>110101010=>[1,1,2,2,2,2] [2,1,4,3,10,9,8,7,6,5]=>101011111=>[1,2,2,1,1,1,1,1] [4,3,2,1,10,9,8,7,6,5]=>111011111=>[1,1,1,2,1,1,1,1,1] [10,3,2,9,8,7,6,5,4,1]=>110111111=>[1,1,2,1,1,1,1,1,1] [2,1,10,9,8,7,6,5,4,3]=>101111111=>[1,2,1,1,1,1,1,1,1] [9,10,8,7,6,5,4,3,1,2]=>011111110=>[2,1,1,1,1,1,1,2] [10,9,8,7,6,5,4,3,2,1]=>111111111=>[1,1,1,1,1,1,1,1,1,1] [3,2,5,1,4,6,7,8]=>1010000=>[1,2,5] [4,2,5,1,3,6,7,8]=>1010000=>[1,2,5] [5,2,4,1,3,6,7,8]=>1010000=>[1,2,5] [3,2,6,1,4,5,7,8]=>1010000=>[1,2,5] [4,2,6,1,3,5,7,8]=>1010000=>[1,2,5] [5,3,6,1,2,4,7,8]=>1010000=>[1,2,5] [6,2,4,1,3,5,7,8]=>1010000=>[1,2,5] [6,3,5,1,2,4,7,8]=>1010000=>[1,2,5] [5,2,7,1,3,4,6,8]=>1010000=>[1,2,5] [5,3,7,1,2,4,6,8]=>1010000=>[1,2,5] [5,4,7,1,2,3,6,8]=>1010000=>[1,2,5] [6,2,7,1,3,4,5,8]=>1010000=>[1,2,5] [6,3,7,1,2,4,5,8]=>1010000=>[1,2,5] [6,4,7,1,2,3,5,8]=>1010000=>[1,2,5] [7,3,5,1,2,4,6,8]=>1010000=>[1,2,5] [7,3,6,1,2,4,5,8]=>1010000=>[1,2,5] [7,4,6,1,2,3,5,8]=>1010000=>[1,2,5] [3,2,8,1,4,5,6,7]=>1010000=>[1,2,5] [4,2,8,1,3,5,6,7]=>1010000=>[1,2,5] [5,2,8,1,3,4,6,7]=>1010000=>[1,2,5] [5,4,8,1,2,3,6,7]=>1010000=>[1,2,5] [6,2,8,1,3,4,5,7]=>1010000=>[1,2,5] [6,3,8,1,2,4,5,7]=>1010000=>[1,2,5] [6,4,8,1,2,3,5,7]=>1010000=>[1,2,5] [6,5,8,1,2,3,4,7]=>1010000=>[1,2,5] [7,2,8,1,3,4,5,6]=>1010000=>[1,2,5] [7,3,8,1,2,4,5,6]=>1010000=>[1,2,5] [7,4,8,1,2,3,5,6]=>1010000=>[1,2,5] [7,5,8,1,2,3,4,6]=>1010000=>[1,2,5] [8,2,4,1,3,5,6,7]=>1010000=>[1,2,5] [8,3,5,1,2,4,6,7]=>1010000=>[1,2,5] [8,3,6,1,2,4,5,7]=>1010000=>[1,2,5] [8,3,7,1,2,4,5,6]=>1010000=>[1,2,5] [8,4,7,1,2,3,5,6]=>1010000=>[1,2,5] [8,5,7,1,2,3,4,6]=>1010000=>[1,2,5] [3,2,5,7,1,4,6,8]=>1001000=>[1,3,4] [4,2,5,7,1,3,6,8]=>1001000=>[1,3,4] [4,3,5,7,1,2,6,8]=>1001000=>[1,3,4] [5,2,4,7,1,3,6,8]=>1001000=>[1,3,4] [5,3,4,7,1,2,6,8]=>1001000=>[1,3,4] [4,2,6,7,1,3,5,8]=>1001000=>[1,3,4] [5,2,6,7,1,3,4,8]=>1001000=>[1,3,4] [5,3,6,7,1,2,4,8]=>1001000=>[1,3,4] [6,2,5,7,1,3,4,8]=>1001000=>[1,3,4] [6,3,5,7,1,2,4,8]=>1001000=>[1,3,4] [7,2,4,6,1,3,5,8]=>1001000=>[1,3,4] [7,3,4,6,1,2,5,8]=>1001000=>[1,3,4] [7,3,5,6,1,2,4,8]=>1001000=>[1,3,4] [3,2,5,8,1,4,6,7]=>1001000=>[1,3,4] [4,2,5,8,1,3,6,7]=>1001000=>[1,3,4] [4,3,5,8,1,2,6,7]=>1001000=>[1,3,4] [5,2,4,8,1,3,6,7]=>1001000=>[1,3,4] [3,2,6,8,1,4,5,7]=>1001000=>[1,3,4] [4,2,6,8,1,3,5,7]=>1001000=>[1,3,4] [4,3,6,8,1,2,5,7]=>1001000=>[1,3,4] [5,2,6,8,1,3,4,7]=>1001000=>[1,3,4] [6,2,4,8,1,3,5,7]=>1001000=>[1,3,4] [6,3,4,8,1,2,5,7]=>1001000=>[1,3,4] [6,2,5,8,1,3,4,7]=>1001000=>[1,3,4] [6,3,5,8,1,2,4,7]=>1001000=>[1,3,4] [6,4,5,8,1,2,3,7]=>1001000=>[1,3,4] [3,2,7,8,1,4,5,6]=>1001000=>[1,3,4] [4,3,7,8,1,2,5,6]=>1001000=>[1,3,4] [5,3,7,8,1,2,4,6]=>1001000=>[1,3,4] [6,2,7,8,1,3,4,5]=>1001000=>[1,3,4] [6,3,7,8,1,2,4,5]=>1001000=>[1,3,4] [6,4,7,8,1,2,3,5]=>1001000=>[1,3,4] [7,2,4,8,1,3,5,6]=>1001000=>[1,3,4] [7,3,4,8,1,2,5,6]=>1001000=>[1,3,4] [7,3,5,8,1,2,4,6]=>1001000=>[1,3,4] [7,4,5,8,1,2,3,6]=>1001000=>[1,3,4] [7,4,6,8,1,2,3,5]=>1001000=>[1,3,4] [8,2,4,6,1,3,5,7]=>1001000=>[1,3,4] [8,3,4,6,1,2,5,7]=>1001000=>[1,3,4] [8,2,5,6,1,3,4,7]=>1001000=>[1,3,4] [8,3,5,6,1,2,4,7]=>1001000=>[1,3,4] [8,2,4,7,1,3,5,6]=>1001000=>[1,3,4] [8,2,5,7,1,3,4,6]=>1001000=>[1,3,4] [8,3,5,7,1,2,4,6]=>1001000=>[1,3,4] [8,2,6,7,1,3,4,5]=>1001000=>[1,3,4] [8,4,6,7,1,2,3,5]=>1001000=>[1,3,4] [3,6,2,5,1,4,7,8]=>0101000=>[2,2,4] [4,6,2,5,1,3,7,8]=>0101000=>[2,2,4] [4,6,3,5,1,2,7,8]=>0101000=>[2,2,4] [3,7,2,5,1,4,6,8]=>0101000=>[2,2,4] [4,7,3,5,1,2,6,8]=>0101000=>[2,2,4] [5,7,2,4,1,3,6,8]=>0101000=>[2,2,4] [5,7,3,4,1,2,6,8]=>0101000=>[2,2,4] [3,7,2,6,1,4,5,8]=>0101000=>[2,2,4] [4,7,3,6,1,2,5,8]=>0101000=>[2,2,4] [5,7,2,6,1,3,4,8]=>0101000=>[2,2,4] [5,7,3,6,1,2,4,8]=>0101000=>[2,2,4] [6,7,2,5,1,3,4,8]=>0101000=>[2,2,4] [4,8,2,5,1,3,6,7]=>0101000=>[2,2,4] [5,8,2,4,1,3,6,7]=>0101000=>[2,2,4] [5,8,3,4,1,2,6,7]=>0101000=>[2,2,4] [3,8,2,6,1,4,5,7]=>0101000=>[2,2,4] [4,8,2,6,1,3,5,7]=>0101000=>[2,2,4] [5,8,3,6,1,2,4,7]=>0101000=>[2,2,4] [5,8,4,6,1,2,3,7]=>0101000=>[2,2,4] [6,8,2,4,1,3,5,7]=>0101000=>[2,2,4] [6,8,3,4,1,2,5,7]=>0101000=>[2,2,4] [6,8,3,5,1,2,4,7]=>0101000=>[2,2,4] [6,8,4,5,1,2,3,7]=>0101000=>[2,2,4] [3,8,2,7,1,4,5,6]=>0101000=>[2,2,4] [4,8,2,7,1,3,5,6]=>0101000=>[2,2,4] [4,8,3,7,1,2,5,6]=>0101000=>[2,2,4] [5,8,2,7,1,3,4,6]=>0101000=>[2,2,4] [5,8,3,7,1,2,4,6]=>0101000=>[2,2,4] [5,8,4,7,1,2,3,6]=>0101000=>[2,2,4] [6,8,2,7,1,3,4,5]=>0101000=>[2,2,4] [6,8,3,7,1,2,4,5]=>0101000=>[2,2,4] [6,8,5,7,1,2,3,4]=>0101000=>[2,2,4] [7,8,2,4,1,3,5,6]=>0101000=>[2,2,4] [7,8,2,5,1,3,4,6]=>0101000=>[2,2,4] [7,8,3,5,1,2,4,6]=>0101000=>[2,2,4] [7,8,4,6,1,2,3,5]=>0101000=>[2,2,4] [4,3,2,6,1,5,7,8]=>1101000=>[1,1,2,4] [5,3,2,6,1,4,7,8]=>1101000=>[1,1,2,4] [6,3,2,5,1,4,7,8]=>1101000=>[1,1,2,4] [6,4,2,5,1,3,7,8]=>1101000=>[1,1,2,4] [6,5,2,4,1,3,7,8]=>1101000=>[1,1,2,4] [4,3,2,7,1,5,6,8]=>1101000=>[1,1,2,4] [5,3,2,7,1,4,6,8]=>1101000=>[1,1,2,4] [5,4,3,7,1,2,6,8]=>1101000=>[1,1,2,4] [6,3,2,7,1,4,5,8]=>1101000=>[1,1,2,4] [6,4,2,7,1,3,5,8]=>1101000=>[1,1,2,4] [6,4,3,7,1,2,5,8]=>1101000=>[1,1,2,4] [6,5,3,7,1,2,4,8]=>1101000=>[1,1,2,4] [7,3,2,5,1,4,6,8]=>1101000=>[1,1,2,4] [7,4,2,5,1,3,6,8]=>1101000=>[1,1,2,4] [7,3,2,6,1,4,5,8]=>1101000=>[1,1,2,4] [7,4,2,6,1,3,5,8]=>1101000=>[1,1,2,4] [7,4,3,6,1,2,5,8]=>1101000=>[1,1,2,4] [7,5,2,6,1,3,4,8]=>1101000=>[1,1,2,4] [7,5,3,6,1,2,4,8]=>1101000=>[1,1,2,4] [7,6,3,5,1,2,4,8]=>1101000=>[1,1,2,4] [4,3,2,8,1,5,6,7]=>1101000=>[1,1,2,4] [5,3,2,8,1,4,6,7]=>1101000=>[1,1,2,4] [5,4,3,8,1,2,6,7]=>1101000=>[1,1,2,4] [6,3,2,8,1,4,5,7]=>1101000=>[1,1,2,4] [6,4,2,8,1,3,5,7]=>1101000=>[1,1,2,4] [6,4,3,8,1,2,5,7]=>1101000=>[1,1,2,4] [6,5,2,8,1,3,4,7]=>1101000=>[1,1,2,4] [6,5,3,8,1,2,4,7]=>1101000=>[1,1,2,4] [6,5,4,8,1,2,3,7]=>1101000=>[1,1,2,4] [7,3,2,8,1,4,5,6]=>1101000=>[1,1,2,4] [7,4,2,8,1,3,5,6]=>1101000=>[1,1,2,4] [7,4,3,8,1,2,5,6]=>1101000=>[1,1,2,4] [7,5,3,8,1,2,4,6]=>1101000=>[1,1,2,4] [7,5,4,8,1,2,3,6]=>1101000=>[1,1,2,4] [7,6,2,8,1,3,4,5]=>1101000=>[1,1,2,4] [8,3,2,5,1,4,6,7]=>1101000=>[1,1,2,4] [8,4,2,5,1,3,6,7]=>1101000=>[1,1,2,4] [8,3,2,6,1,4,5,7]=>1101000=>[1,1,2,4] [8,4,2,6,1,3,5,7]=>1101000=>[1,1,2,4] [8,5,3,6,1,2,4,7]=>1101000=>[1,1,2,4] [8,6,2,4,1,3,5,7]=>1101000=>[1,1,2,4] [8,6,2,5,1,3,4,7]=>1101000=>[1,1,2,4] [8,3,2,7,1,4,5,6]=>1101000=>[1,1,2,4] [8,4,2,7,1,3,5,6]=>1101000=>[1,1,2,4] [8,4,3,7,1,2,5,6]=>1101000=>[1,1,2,4] [8,5,2,7,1,3,4,6]=>1101000=>[1,1,2,4] [8,5,3,7,1,2,4,6]=>1101000=>[1,1,2,4] [8,5,4,7,1,2,3,6]=>1101000=>[1,1,2,4] [8,6,3,7,1,2,4,5]=>1101000=>[1,1,2,4] [8,7,2,4,1,3,5,6]=>1101000=>[1,1,2,4] [8,7,2,5,1,3,4,6]=>1101000=>[1,1,2,4] [8,7,3,5,1,2,4,6]=>1101000=>[1,1,2,4] [8,7,2,6,1,3,4,5]=>1101000=>[1,1,2,4] [8,7,3,6,1,2,4,5]=>1101000=>[1,1,2,4] [8,7,4,6,1,2,3,5]=>1101000=>[1,1,2,4] [3,6,2,5,8,1,4,7]=>0100100=>[2,3,3] [4,6,3,5,8,1,2,7]=>0100100=>[2,3,3] [5,6,2,4,8,1,3,7]=>0100100=>[2,3,3] [4,7,2,5,8,1,3,6]=>0100100=>[2,3,3] [4,7,3,5,8,1,2,6]=>0100100=>[2,3,3] [5,7,2,4,8,1,3,6]=>0100100=>[2,3,3] [5,7,3,4,8,1,2,6]=>0100100=>[2,3,3] [3,7,2,6,8,1,4,5]=>0100100=>[2,3,3] [4,7,3,6,8,1,2,5]=>0100100=>[2,3,3] [5,7,2,6,8,1,3,4]=>0100100=>[2,3,3] [5,7,4,6,8,1,2,3]=>0100100=>[2,3,3] [6,7,3,4,8,1,2,5]=>0100100=>[2,3,3] [6,7,3,5,8,1,2,4]=>0100100=>[2,3,3] [3,8,2,5,7,1,4,6]=>0100100=>[2,3,3] [4,8,2,5,7,1,3,6]=>0100100=>[2,3,3] [4,8,3,5,7,1,2,6]=>0100100=>[2,3,3] [5,8,2,4,7,1,3,6]=>0100100=>[2,3,3] [3,8,2,6,7,1,4,5]=>0100100=>[2,3,3] [4,8,3,6,7,1,2,5]=>0100100=>[2,3,3] [5,8,2,6,7,1,3,4]=>0100100=>[2,3,3] [5,8,3,6,7,1,2,4]=>0100100=>[2,3,3] [6,8,2,5,7,1,3,4]=>0100100=>[2,3,3] [6,8,3,5,7,1,2,4]=>0100100=>[2,3,3] [6,8,4,5,7,1,2,3]=>0100100=>[2,3,3] [7,8,2,4,6,1,3,5]=>0100100=>[2,3,3] [7,8,2,5,6,1,3,4]=>0100100=>[2,3,3] [7,8,3,5,6,1,2,4]=>0100100=>[2,3,3] [4,3,2,6,8,1,5,7]=>1100100=>[1,1,3,3] [5,3,2,6,8,1,4,7]=>1100100=>[1,1,3,3] [5,4,2,6,8,1,3,7]=>1100100=>[1,1,3,3] [5,4,3,6,8,1,2,7]=>1100100=>[1,1,3,3] [6,3,2,5,8,1,4,7]=>1100100=>[1,1,3,3] [6,4,3,5,8,1,2,7]=>1100100=>[1,1,3,3] [6,5,2,4,8,1,3,7]=>1100100=>[1,1,3,3] [4,3,2,7,8,1,5,6]=>1100100=>[1,1,3,3] [5,3,2,7,8,1,4,6]=>1100100=>[1,1,3,3] [5,4,2,7,8,1,3,6]=>1100100=>[1,1,3,3] [5,4,3,7,8,1,2,6]=>1100100=>[1,1,3,3] [6,4,2,7,8,1,3,5]=>1100100=>[1,1,3,3] [6,4,3,7,8,1,2,5]=>1100100=>[1,1,3,3] [6,5,2,7,8,1,3,4]=>1100100=>[1,1,3,3] [7,4,2,5,8,1,3,6]=>1100100=>[1,1,3,3] [7,4,3,5,8,1,2,6]=>1100100=>[1,1,3,3] [7,5,3,4,8,1,2,6]=>1100100=>[1,1,3,3] [7,3,2,6,8,1,4,5]=>1100100=>[1,1,3,3] [7,5,2,6,8,1,3,4]=>1100100=>[1,1,3,3] [7,5,3,6,8,1,2,4]=>1100100=>[1,1,3,3] [7,6,2,4,8,1,3,5]=>1100100=>[1,1,3,3] [7,6,3,5,8,1,2,4]=>1100100=>[1,1,3,3] [8,3,2,5,7,1,4,6]=>1100100=>[1,1,3,3] [8,4,2,5,7,1,3,6]=>1100100=>[1,1,3,3] [8,5,2,4,7,1,3,6]=>1100100=>[1,1,3,3] [8,3,2,6,7,1,4,5]=>1100100=>[1,1,3,3] [8,4,2,6,7,1,3,5]=>1100100=>[1,1,3,3] [8,5,2,6,7,1,3,4]=>1100100=>[1,1,3,3] [8,5,3,6,7,1,2,4]=>1100100=>[1,1,3,3] [8,6,2,4,7,1,3,5]=>1100100=>[1,1,3,3] [8,6,3,5,7,1,2,4]=>1100100=>[1,1,3,3] [8,7,2,4,6,1,3,5]=>1100100=>[1,1,3,3] [8,7,3,4,6,1,2,5]=>1100100=>[1,1,3,3] [8,7,2,5,6,1,3,4]=>1100100=>[1,1,3,3] [8,7,3,5,6,1,2,4]=>1100100=>[1,1,3,3] [4,3,7,2,6,1,5,8]=>1010100=>[1,2,2,3] [5,3,7,2,6,1,4,8]=>1010100=>[1,2,2,3] [5,4,7,2,6,1,3,8]=>1010100=>[1,2,2,3] [6,3,7,2,5,1,4,8]=>1010100=>[1,2,2,3] [6,4,7,2,5,1,3,8]=>1010100=>[1,2,2,3] [6,4,7,3,5,1,2,8]=>1010100=>[1,2,2,3] [7,3,6,2,5,1,4,8]=>1010100=>[1,2,2,3] [4,3,8,2,6,1,5,7]=>1010100=>[1,2,2,3] [5,3,8,2,6,1,4,7]=>1010100=>[1,2,2,3] [5,4,8,2,6,1,3,7]=>1010100=>[1,2,2,3] [5,4,8,3,6,1,2,7]=>1010100=>[1,2,2,3] [6,4,8,2,5,1,3,7]=>1010100=>[1,2,2,3] [6,4,8,3,5,1,2,7]=>1010100=>[1,2,2,3] [6,5,8,2,4,1,3,7]=>1010100=>[1,2,2,3] [6,5,8,3,4,1,2,7]=>1010100=>[1,2,2,3] [4,3,8,2,7,1,5,6]=>1010100=>[1,2,2,3] [5,3,8,2,7,1,4,6]=>1010100=>[1,2,2,3] [5,4,8,2,7,1,3,6]=>1010100=>[1,2,2,3] [5,4,8,3,7,1,2,6]=>1010100=>[1,2,2,3] [6,3,8,2,7,1,4,5]=>1010100=>[1,2,2,3] [6,4,8,2,7,1,3,5]=>1010100=>[1,2,2,3] [6,4,8,3,7,1,2,5]=>1010100=>[1,2,2,3] [7,3,8,2,5,1,4,6]=>1010100=>[1,2,2,3] [7,4,8,3,5,1,2,6]=>1010100=>[1,2,2,3] [7,5,8,2,4,1,3,6]=>1010100=>[1,2,2,3] [7,5,8,3,4,1,2,6]=>1010100=>[1,2,2,3] [7,3,8,2,6,1,4,5]=>1010100=>[1,2,2,3] [7,4,8,2,6,1,3,5]=>1010100=>[1,2,2,3] [7,5,8,2,6,1,3,4]=>1010100=>[1,2,2,3] [7,5,8,3,6,1,2,4]=>1010100=>[1,2,2,3] [7,5,8,4,6,1,2,3]=>1010100=>[1,2,2,3] [7,6,8,2,5,1,3,4]=>1010100=>[1,2,2,3] [7,6,8,3,5,1,2,4]=>1010100=>[1,2,2,3] [8,3,6,2,5,1,4,7]=>1010100=>[1,2,2,3] [8,5,6,2,4,1,3,7]=>1010100=>[1,2,2,3] [8,3,7,2,5,1,4,6]=>1010100=>[1,2,2,3] [8,5,7,2,4,1,3,6]=>1010100=>[1,2,2,3] [8,3,7,2,6,1,4,5]=>1010100=>[1,2,2,3] [8,4,7,2,6,1,3,5]=>1010100=>[1,2,2,3] [8,4,7,3,6,1,2,5]=>1010100=>[1,2,2,3] [8,5,7,2,6,1,3,4]=>1010100=>[1,2,2,3] [8,6,7,2,4,1,3,5]=>1010100=>[1,2,2,3] [8,6,7,2,5,1,3,4]=>1010100=>[1,2,2,3] [8,6,7,3,5,1,2,4]=>1010100=>[1,2,2,3] [5,4,3,2,7,1,6,8]=>1110100=>[1,1,1,2,3] [6,4,3,2,7,1,5,8]=>1110100=>[1,1,1,2,3] [6,5,3,2,7,1,4,8]=>1110100=>[1,1,1,2,3] [6,5,4,2,7,1,3,8]=>1110100=>[1,1,1,2,3] [7,5,3,2,6,1,4,8]=>1110100=>[1,1,1,2,3] [7,5,4,2,6,1,3,8]=>1110100=>[1,1,1,2,3] [7,6,3,2,5,1,4,8]=>1110100=>[1,1,1,2,3] [5,4,3,2,8,1,6,7]=>1110100=>[1,1,1,2,3] [6,5,3,2,8,1,4,7]=>1110100=>[1,1,1,2,3] [6,5,4,2,8,1,3,7]=>1110100=>[1,1,1,2,3] [6,5,4,3,8,1,2,7]=>1110100=>[1,1,1,2,3] [7,5,3,2,8,1,4,6]=>1110100=>[1,1,1,2,3] [7,5,4,2,8,1,3,6]=>1110100=>[1,1,1,2,3] [7,6,3,2,8,1,4,5]=>1110100=>[1,1,1,2,3] [7,6,4,3,8,1,2,5]=>1110100=>[1,1,1,2,3] [7,6,5,2,8,1,3,4]=>1110100=>[1,1,1,2,3] [8,5,3,2,6,1,4,7]=>1110100=>[1,1,1,2,3] [8,5,4,2,6,1,3,7]=>1110100=>[1,1,1,2,3] [8,6,4,2,5,1,3,7]=>1110100=>[1,1,1,2,3] [8,6,5,2,4,1,3,7]=>1110100=>[1,1,1,2,3] [8,5,3,2,7,1,4,6]=>1110100=>[1,1,1,2,3] [8,6,3,2,7,1,4,5]=>1110100=>[1,1,1,2,3] [8,6,4,2,7,1,3,5]=>1110100=>[1,1,1,2,3] [8,6,4,3,7,1,2,5]=>1110100=>[1,1,1,2,3] [8,7,3,2,6,1,4,5]=>1110100=>[1,1,1,2,3] [8,7,4,2,6,1,3,5]=>1110100=>[1,1,1,2,3] [8,7,4,3,6,1,2,5]=>1110100=>[1,1,1,2,3] [8,7,5,2,6,1,3,4]=>1110100=>[1,1,1,2,3] [8,7,6,2,4,1,3,5]=>1110100=>[1,1,1,2,3] [8,7,6,2,5,1,3,4]=>1110100=>[1,1,1,2,3] [8,7,6,3,5,1,2,4]=>1110100=>[1,1,1,2,3] [4,8,3,7,2,6,1,5]=>0101010=>[2,2,2,2] [5,8,3,7,2,6,1,4]=>0101010=>[2,2,2,2] [5,8,4,7,2,6,1,3]=>0101010=>[2,2,2,2] [5,8,4,7,3,6,1,2]=>0101010=>[2,2,2,2] [6,8,3,7,2,5,1,4]=>0101010=>[2,2,2,2] [6,8,4,7,2,5,1,3]=>0101010=>[2,2,2,2] [6,8,4,7,3,5,1,2]=>0101010=>[2,2,2,2] [6,8,5,7,2,4,1,3]=>0101010=>[2,2,2,2] [6,8,5,7,3,4,1,2]=>0101010=>[2,2,2,2] [7,8,3,6,2,5,1,4]=>0101010=>[2,2,2,2] [7,8,4,6,2,5,1,3]=>0101010=>[2,2,2,2] [7,8,4,6,3,5,1,2]=>0101010=>[2,2,2,2] [7,8,5,6,2,4,1,3]=>0101010=>[2,2,2,2] [5,4,3,8,2,7,1,6]=>1101010=>[1,1,2,2,2] [6,4,3,8,2,7,1,5]=>1101010=>[1,1,2,2,2] [6,5,3,8,2,7,1,4]=>1101010=>[1,1,2,2,2] [6,5,4,8,2,7,1,3]=>1101010=>[1,1,2,2,2] [6,5,4,8,3,7,1,2]=>1101010=>[1,1,2,2,2] [7,4,3,8,2,6,1,5]=>1101010=>[1,1,2,2,2] [7,5,3,8,2,6,1,4]=>1101010=>[1,1,2,2,2] [7,5,4,8,2,6,1,3]=>1101010=>[1,1,2,2,2] [7,6,3,8,2,5,1,4]=>1101010=>[1,1,2,2,2] [7,6,4,8,2,5,1,3]=>1101010=>[1,1,2,2,2] [7,6,5,8,2,4,1,3]=>1101010=>[1,1,2,2,2] [8,4,3,7,2,6,1,5]=>1101010=>[1,1,2,2,2] [8,5,3,7,2,6,1,4]=>1101010=>[1,1,2,2,2] [8,5,4,7,2,6,1,3]=>1101010=>[1,1,2,2,2] [8,5,4,7,3,6,1,2]=>1101010=>[1,1,2,2,2] [8,6,3,7,2,5,1,4]=>1101010=>[1,1,2,2,2] [8,6,4,7,2,5,1,3]=>1101010=>[1,1,2,2,2] [8,6,5,7,2,4,1,3]=>1101010=>[1,1,2,2,2] [8,7,3,6,2,5,1,4]=>1101010=>[1,1,2,2,2] [8,7,4,6,2,5,1,3]=>1101010=>[1,1,2,2,2] [8,7,4,6,3,5,1,2]=>1101010=>[1,1,2,2,2] [8,7,5,6,2,4,1,3]=>1101010=>[1,1,2,2,2] [6,5,4,3,2,8,1,7]=>1111010=>[1,1,1,1,2,2] [7,6,4,3,2,8,1,5]=>1111010=>[1,1,1,1,2,2] [7,6,5,4,2,8,1,3]=>1111010=>[1,1,1,1,2,2] [8,5,4,3,2,7,1,6]=>1111010=>[1,1,1,1,2,2] [8,6,4,3,2,7,1,5]=>1111010=>[1,1,1,1,2,2] [8,6,5,3,2,7,1,4]=>1111010=>[1,1,1,1,2,2] [8,6,5,4,2,7,1,3]=>1111010=>[1,1,1,1,2,2] [8,7,4,3,2,6,1,5]=>1111010=>[1,1,1,1,2,2] [8,7,5,3,2,6,1,4]=>1111010=>[1,1,1,1,2,2] [8,7,5,4,2,6,1,3]=>1111010=>[1,1,1,1,2,2] [8,7,6,3,2,5,1,4]=>1111010=>[1,1,1,1,2,2] [8,7,6,4,2,5,1,3]=>1111010=>[1,1,1,1,2,2] [8,7,6,5,2,4,1,3]=>1111010=>[1,1,1,1,2,2] [8,1,2,3,4,7,5,6]=>1000010=>[1,5,2] [8,1,2,3,6,4,5,7]=>1000100=>[1,4,3] [8,1,2,3,7,4,5,6]=>1000100=>[1,4,3] [7,1,2,3,6,4,8,5]=>1000101=>[1,4,2,1] [5,1,2,3,8,7,4,6]=>1000110=>[1,4,1,2] [8,1,2,3,6,7,4,5]=>1000010=>[1,5,2] [4,1,2,8,3,7,5,6]=>1001010=>[1,3,2,2] [8,1,2,5,3,4,6,7]=>1001000=>[1,3,4] [7,1,2,5,3,4,8,6]=>1001001=>[1,3,3,1] [8,1,2,6,3,4,5,7]=>1001000=>[1,3,4] [7,1,2,6,3,4,8,5]=>1001001=>[1,3,3,1] [6,1,2,5,3,8,4,7]=>1001010=>[1,3,2,2] [8,1,2,5,3,7,4,6]=>1001010=>[1,3,2,2] [8,1,2,6,3,7,4,5]=>1001010=>[1,3,2,2] [6,1,2,5,3,7,8,4]=>1001001=>[1,3,3,1] [4,1,2,8,6,3,5,7]=>1001100=>[1,3,1,3] [4,1,2,8,7,3,5,6]=>1001100=>[1,3,1,3] [4,1,2,7,6,3,8,5]=>1001101=>[1,3,1,2,1] [8,1,2,5,6,3,4,7]=>1000100=>[1,4,3] [8,1,2,5,7,3,4,6]=>1000100=>[1,4,3] [8,1,2,7,6,3,4,5]=>1001100=>[1,3,1,3] [7,1,2,5,6,3,8,4]=>1000101=>[1,4,2,1] [4,1,2,5,8,7,3,6]=>1000110=>[1,4,1,2] [4,1,2,8,6,7,3,5]=>1001010=>[1,3,2,2] [8,1,2,5,6,7,3,4]=>1000010=>[1,5,2] [3,1,8,2,4,7,5,6]=>1010010=>[1,2,3,2] [3,1,8,2,6,4,5,7]=>1010100=>[1,2,2,3] [3,1,8,2,7,4,5,6]=>1010100=>[1,2,2,3] [3,1,7,2,6,4,8,5]=>1010101=>[1,2,2,2,1] [3,1,5,2,8,7,4,6]=>1010110=>[1,2,2,1,2] [3,1,8,2,6,7,4,5]=>1010010=>[1,2,3,2] [8,1,4,2,3,5,6,7]=>1010000=>[1,2,5] [7,1,4,2,3,5,8,6]=>1010001=>[1,2,4,1] [6,1,4,2,3,8,5,7]=>1010010=>[1,2,3,2] [8,1,4,2,3,7,5,6]=>1010010=>[1,2,3,2] [6,1,4,2,3,7,8,5]=>1010001=>[1,2,4,1] [8,1,5,2,3,4,6,7]=>1010000=>[1,2,5] [7,1,5,2,3,4,8,6]=>1010001=>[1,2,4,1] [8,1,7,2,3,4,5,6]=>1010000=>[1,2,5] [6,1,5,2,3,8,4,7]=>1010010=>[1,2,3,2] [8,1,5,2,3,7,4,6]=>1010010=>[1,2,3,2] [6,1,8,2,3,7,4,5]=>1010010=>[1,2,3,2] [6,1,5,2,3,7,8,4]=>1010001=>[1,2,4,1] [5,1,4,2,8,3,6,7]=>1010100=>[1,2,2,3] [5,1,4,2,7,3,8,6]=>1010101=>[1,2,2,2,1] [8,1,4,2,6,3,5,7]=>1010100=>[1,2,2,3] [8,1,4,2,7,3,5,6]=>1010100=>[1,2,2,3] [7,1,4,2,6,3,8,5]=>1010101=>[1,2,2,2,1] [8,1,5,2,6,3,4,7]=>1010100=>[1,2,2,3] [8,1,5,2,7,3,4,6]=>1010100=>[1,2,2,3] [7,1,8,2,6,3,4,5]=>1010100=>[1,2,2,3] [7,1,5,2,6,3,8,4]=>1010101=>[1,2,2,2,1] [5,1,4,2,6,8,3,7]=>1010010=>[1,2,3,2] [5,1,4,2,8,7,3,6]=>1010110=>[1,2,2,1,2] [8,1,4,2,6,7,3,5]=>1010010=>[1,2,3,2] [8,1,5,2,6,7,3,4]=>1010010=>[1,2,3,2] [5,1,4,2,6,7,8,3]=>1010001=>[1,2,4,1] [3,1,4,8,2,7,5,6]=>1001010=>[1,3,2,2] [3,1,8,5,2,4,6,7]=>1011000=>[1,2,1,4] [3,1,7,5,2,4,8,6]=>1011001=>[1,2,1,3,1] [3,1,8,6,2,4,5,7]=>1011000=>[1,2,1,4] [3,1,7,6,2,4,8,5]=>1011001=>[1,2,1,3,1] [3,1,6,5,2,8,4,7]=>1011010=>[1,2,1,2,2] [3,1,8,5,2,7,4,6]=>1011010=>[1,2,1,2,2] [3,1,8,6,2,7,4,5]=>1011010=>[1,2,1,2,2] [3,1,6,5,2,7,8,4]=>1011001=>[1,2,1,3,1] [8,1,4,5,2,3,6,7]=>1001000=>[1,3,4] [7,1,4,5,2,3,8,6]=>1001001=>[1,3,3,1] [8,1,4,6,2,3,5,7]=>1001000=>[1,3,4] [7,1,4,8,2,3,5,6]=>1001000=>[1,3,4] [7,1,4,6,2,3,8,5]=>1001001=>[1,3,3,1] [8,1,6,5,2,3,4,7]=>1011000=>[1,2,1,4] [7,1,8,5,2,3,4,6]=>1011000=>[1,2,1,4] [7,1,8,6,2,3,4,5]=>1011000=>[1,2,1,4] [7,1,6,5,2,3,8,4]=>1011001=>[1,2,1,3,1] [6,1,4,5,2,8,3,7]=>1001010=>[1,3,2,2] [8,1,4,5,2,7,3,6]=>1001010=>[1,3,2,2] [8,1,4,6,2,7,3,5]=>1001010=>[1,3,2,2] [8,1,6,5,2,7,3,4]=>1011010=>[1,2,1,2,2] [6,1,4,5,2,7,8,3]=>1001001=>[1,3,3,1] [3,1,4,8,6,2,5,7]=>1001100=>[1,3,1,3] [3,1,4,8,7,2,5,6]=>1001100=>[1,3,1,3] [3,1,4,7,6,2,8,5]=>1001101=>[1,3,1,2,1] [3,1,8,5,6,2,4,7]=>1010100=>[1,2,2,3] [3,1,8,5,7,2,4,6]=>1010100=>[1,2,2,3] [3,1,8,7,6,2,4,5]=>1011100=>[1,2,1,1,3] [3,1,7,5,6,2,8,4]=>1010101=>[1,2,2,2,1] [8,1,4,5,6,2,3,7]=>1000100=>[1,4,3] [8,1,4,5,7,2,3,6]=>1000100=>[1,4,3] [8,1,4,7,6,2,3,5]=>1001100=>[1,3,1,3] [8,1,7,5,6,2,3,4]=>1010100=>[1,2,2,3] [7,1,4,5,6,2,8,3]=>1000101=>[1,4,2,1] [3,1,4,5,8,7,2,6]=>1000110=>[1,4,1,2] [3,1,4,8,6,7,2,5]=>1001010=>[1,3,2,2] [3,1,8,5,6,7,2,4]=>1010010=>[1,2,3,2] [8,1,4,5,6,7,2,3]=>1000010=>[1,5,2] [2,8,1,3,4,7,5,6]=>0100010=>[2,4,2] [2,8,1,3,6,4,5,7]=>0100100=>[2,3,3] [2,8,1,3,7,4,5,6]=>0100100=>[2,3,3] [2,7,1,3,6,4,8,5]=>0100101=>[2,3,2,1] [2,5,1,3,8,7,4,6]=>0100110=>[2,3,1,2] [2,8,1,3,6,7,4,5]=>0100010=>[2,4,2] [2,4,1,8,3,7,5,6]=>0101010=>[2,2,2,2] [2,8,1,5,3,4,6,7]=>0101000=>[2,2,4] [2,7,1,5,3,4,8,6]=>0101001=>[2,2,3,1] [2,8,1,6,3,4,5,7]=>0101000=>[2,2,4] [2,7,1,6,3,4,8,5]=>0101001=>[2,2,3,1] [2,6,1,5,3,8,4,7]=>0101010=>[2,2,2,2] [2,8,1,5,3,7,4,6]=>0101010=>[2,2,2,2] [2,6,1,5,3,7,8,4]=>0101001=>[2,2,3,1] [2,4,1,8,6,3,5,7]=>0101100=>[2,2,1,3] [2,4,1,8,7,3,5,6]=>0101100=>[2,2,1,3] [2,4,1,7,6,3,8,5]=>0101101=>[2,2,1,2,1] [2,8,1,5,6,3,4,7]=>0100100=>[2,3,3] [2,8,1,5,7,3,4,6]=>0100100=>[2,3,3] [2,8,1,7,6,3,4,5]=>0101100=>[2,2,1,3] [2,7,1,5,6,3,8,4]=>0100101=>[2,3,2,1] [2,4,1,5,8,7,3,6]=>0100110=>[2,3,1,2] [2,4,1,8,6,7,3,5]=>0101010=>[2,2,2,2] [2,8,1,5,6,7,3,4]=>0100010=>[2,4,2] [7,3,1,2,4,5,8,6]=>1100001=>[1,1,5,1] [6,3,1,2,4,8,5,7]=>1100010=>[1,1,4,2] [8,3,1,2,4,7,5,6]=>1100010=>[1,1,4,2] [6,3,1,2,4,7,8,5]=>1100001=>[1,1,5,1] [5,3,1,2,8,4,6,7]=>1100100=>[1,1,3,3] [5,3,1,2,7,4,8,6]=>1100101=>[1,1,3,2,1] [8,3,1,2,6,4,5,7]=>1100100=>[1,1,3,3] [8,3,1,2,7,4,5,6]=>1100100=>[1,1,3,3] [7,3,1,2,6,4,8,5]=>1100101=>[1,1,3,2,1] [5,3,1,2,6,8,4,7]=>1100010=>[1,1,4,2] [5,3,1,2,8,7,4,6]=>1100110=>[1,1,3,1,2] [8,3,1,2,6,7,4,5]=>1100010=>[1,1,4,2] [5,3,1,2,6,7,8,4]=>1100001=>[1,1,5,1] [7,4,1,2,3,5,8,6]=>1100001=>[1,1,5,1] [6,4,1,2,3,8,5,7]=>1100010=>[1,1,4,2] [8,4,1,2,3,7,5,6]=>1100010=>[1,1,4,2] [6,4,1,2,3,7,8,5]=>1100001=>[1,1,5,1] [7,6,1,2,3,4,8,5]=>1100001=>[1,1,5,1] [5,8,1,2,3,7,4,6]=>0100010=>[2,4,2] [8,6,1,2,3,7,4,5]=>1100010=>[1,1,4,2] [5,4,1,2,8,3,6,7]=>1100100=>[1,1,3,3] [5,4,1,2,7,3,8,6]=>1100101=>[1,1,3,2,1] [8,4,1,2,6,3,5,7]=>1100100=>[1,1,3,3] [8,4,1,2,7,3,5,6]=>1100100=>[1,1,3,3] [7,4,1,2,6,3,8,5]=>1100101=>[1,1,3,2,1] [5,8,1,2,6,3,4,7]=>0100100=>[2,3,3] [5,8,1,2,7,3,4,6]=>0100100=>[2,3,3] [8,7,1,2,6,3,4,5]=>1100100=>[1,1,3,3] [5,7,1,2,6,3,8,4]=>0100101=>[2,3,2,1] [5,4,1,2,6,8,3,7]=>1100010=>[1,1,4,2] [5,4,1,2,8,7,3,6]=>1100110=>[1,1,3,1,2] [8,4,1,2,6,7,3,5]=>1100010=>[1,1,4,2] [5,8,1,2,6,7,3,4]=>0100010=>[2,4,2] [5,4,1,2,6,7,8,3]=>1100001=>[1,1,5,1] [4,3,1,8,2,5,6,7]=>1101000=>[1,1,2,4] [4,3,1,7,2,5,8,6]=>1101001=>[1,1,2,3,1] [4,3,1,6,2,8,5,7]=>1101010=>[1,1,2,2,2] [4,3,1,8,2,7,5,6]=>1101010=>[1,1,2,2,2] [4,3,1,6,2,7,8,5]=>1101001=>[1,1,2,3,1] [8,3,1,5,2,4,6,7]=>1101000=>[1,1,2,4] [7,3,1,5,2,4,8,6]=>1101001=>[1,1,2,3,1] [8,3,1,6,2,4,5,7]=>1101000=>[1,1,2,4] [7,3,1,8,2,4,5,6]=>1101000=>[1,1,2,4] [7,3,1,6,2,4,8,5]=>1101001=>[1,1,2,3,1] [6,3,1,5,2,8,4,7]=>1101010=>[1,1,2,2,2] [8,3,1,5,2,7,4,6]=>1101010=>[1,1,2,2,2] [8,3,1,6,2,7,4,5]=>1101010=>[1,1,2,2,2] [6,3,1,5,2,7,8,4]=>1101001=>[1,1,2,3,1] [8,4,1,5,2,3,6,7]=>1101000=>[1,1,2,4] [7,4,1,5,2,3,8,6]=>1101001=>[1,1,2,3,1] [8,4,1,6,2,3,5,7]=>1101000=>[1,1,2,4] [7,4,1,8,2,3,5,6]=>1101000=>[1,1,2,4] [7,4,1,6,2,3,8,5]=>1101001=>[1,1,2,3,1] [6,8,1,5,2,3,4,7]=>0101000=>[2,2,4] [8,7,1,5,2,3,4,6]=>1101000=>[1,1,2,4] [8,7,1,6,2,3,4,5]=>1101000=>[1,1,2,4] [6,7,1,5,2,3,8,4]=>0101001=>[2,2,3,1] [6,4,1,5,2,8,3,7]=>1101010=>[1,1,2,2,2] [8,4,1,5,2,7,3,6]=>1101010=>[1,1,2,2,2] [8,4,1,6,2,7,3,5]=>1101010=>[1,1,2,2,2] [6,8,1,5,2,7,3,4]=>0101010=>[2,2,2,2] [6,4,1,5,2,7,8,3]=>1101001=>[1,1,2,3,1] [4,3,1,5,8,2,6,7]=>1100100=>[1,1,3,3] [4,3,1,5,7,2,8,6]=>1100101=>[1,1,3,2,1] [4,3,1,8,6,2,5,7]=>1101100=>[1,1,2,1,3] [4,3,1,8,7,2,5,6]=>1101100=>[1,1,2,1,3] [4,3,1,7,6,2,8,5]=>1101101=>[1,1,2,1,2,1] [8,3,1,5,6,2,4,7]=>1100100=>[1,1,3,3] [8,3,1,5,7,2,4,6]=>1100100=>[1,1,3,3] [8,3,1,7,6,2,4,5]=>1101100=>[1,1,2,1,3] [7,3,1,5,6,2,8,4]=>1100101=>[1,1,3,2,1] [8,4,1,5,6,2,3,7]=>1100100=>[1,1,3,3] [8,4,1,5,7,2,3,6]=>1100100=>[1,1,3,3] [8,4,1,7,6,2,3,5]=>1101100=>[1,1,2,1,3] [7,8,1,5,6,2,3,4]=>0100100=>[2,3,3] [7,4,1,5,6,2,8,3]=>1100101=>[1,1,3,2,1] [4,3,1,5,6,8,2,7]=>1100010=>[1,1,4,2] [4,3,1,5,8,7,2,6]=>1100110=>[1,1,3,1,2] [4,3,1,8,6,7,2,5]=>1101010=>[1,1,2,2,2] [8,3,1,5,6,7,2,4]=>1100010=>[1,1,4,2] [8,4,1,5,6,7,2,3]=>1100010=>[1,1,4,2] [4,3,1,5,6,7,8,2]=>1100001=>[1,1,5,1] [2,3,8,1,4,7,5,6]=>0010010=>[3,3,2] [2,3,8,1,6,4,5,7]=>0010100=>[3,2,3] [2,3,8,1,7,4,5,6]=>0010100=>[3,2,3] [2,3,7,1,6,4,8,5]=>0010101=>[3,2,2,1] [2,3,5,1,8,7,4,6]=>0010110=>[3,2,1,2] [2,3,8,1,6,7,4,5]=>0010010=>[3,3,2] [2,8,4,1,3,5,6,7]=>0110000=>[2,1,5] [2,7,4,1,3,5,8,6]=>0110001=>[2,1,4,1] [2,6,4,1,3,8,5,7]=>0110010=>[2,1,3,2] [2,8,4,1,3,7,5,6]=>0110010=>[2,1,3,2] [2,6,4,1,3,7,8,5]=>0110001=>[2,1,4,1] [2,8,5,1,3,4,6,7]=>0110000=>[2,1,5] [2,7,5,1,3,4,8,6]=>0110001=>[2,1,4,1] [2,8,7,1,3,4,5,6]=>0110000=>[2,1,5] [2,6,5,1,3,8,4,7]=>0110010=>[2,1,3,2] [2,8,5,1,3,7,4,6]=>0110010=>[2,1,3,2] [2,6,8,1,3,7,4,5]=>0010010=>[3,3,2] [2,6,5,1,3,7,8,4]=>0110001=>[2,1,4,1] [2,5,4,1,8,3,6,7]=>0110100=>[2,1,2,3] [2,5,4,1,7,3,8,6]=>0110101=>[2,1,2,2,1] [2,8,4,1,6,3,5,7]=>0110100=>[2,1,2,3] [2,8,4,1,7,3,5,6]=>0110100=>[2,1,2,3] [2,7,4,1,6,3,8,5]=>0110101=>[2,1,2,2,1] [2,8,5,1,6,3,4,7]=>0110100=>[2,1,2,3] [2,8,5,1,7,3,4,6]=>0110100=>[2,1,2,3] [2,7,8,1,6,3,4,5]=>0010100=>[3,2,3] [2,7,5,1,6,3,8,4]=>0110101=>[2,1,2,2,1] [2,5,4,1,6,8,3,7]=>0110010=>[2,1,3,2] [2,5,4,1,8,7,3,6]=>0110110=>[2,1,2,1,2] [2,8,4,1,6,7,3,5]=>0110010=>[2,1,3,2] [2,8,5,1,6,7,3,4]=>0110010=>[2,1,3,2] [2,5,4,1,6,7,8,3]=>0110001=>[2,1,4,1] [7,3,4,1,2,5,8,6]=>1010001=>[1,2,4,1] [6,3,4,1,2,8,5,7]=>1010010=>[1,2,3,2] [8,3,4,1,2,7,5,6]=>1010010=>[1,2,3,2] [6,3,4,1,2,7,8,5]=>1010001=>[1,2,4,1] [7,3,5,1,2,4,8,6]=>1010001=>[1,2,4,1] [6,3,7,1,2,4,8,5]=>1010001=>[1,2,4,1] [6,3,5,1,2,8,4,7]=>1010010=>[1,2,3,2] [8,3,5,1,2,7,4,6]=>1010010=>[1,2,3,2] [6,3,8,1,2,7,4,5]=>1010010=>[1,2,3,2] [6,3,5,1,2,7,8,4]=>1010001=>[1,2,4,1] [7,5,4,1,2,3,8,6]=>1110001=>[1,1,1,4,1] [6,8,4,1,2,3,5,7]=>0110000=>[2,1,5] [6,7,4,1,2,3,8,5]=>0110001=>[2,1,4,1] [6,8,5,1,2,3,4,7]=>0110000=>[2,1,5] [6,7,5,1,2,3,8,4]=>0110001=>[2,1,4,1] [6,5,4,1,2,8,3,7]=>1110010=>[1,1,1,3,2] [8,5,4,1,2,7,3,6]=>1110010=>[1,1,1,3,2] [6,8,4,1,2,7,3,5]=>0110010=>[2,1,3,2] [6,8,5,1,2,7,3,4]=>0110010=>[2,1,3,2] [6,5,4,1,2,7,8,3]=>1110001=>[1,1,1,4,1] [5,3,4,1,8,2,6,7]=>1010100=>[1,2,2,3] [5,3,4,1,7,2,8,6]=>1010101=>[1,2,2,2,1] [8,3,4,1,6,2,5,7]=>1010100=>[1,2,2,3] [8,3,4,1,7,2,5,6]=>1010100=>[1,2,2,3] [7,3,4,1,6,2,8,5]=>1010101=>[1,2,2,2,1] [8,3,5,1,6,2,4,7]=>1010100=>[1,2,2,3] [8,3,5,1,7,2,4,6]=>1010100=>[1,2,2,3] [7,3,8,1,6,2,4,5]=>1010100=>[1,2,2,3] [7,3,5,1,6,2,8,4]=>1010101=>[1,2,2,2,1] [8,5,4,1,6,2,3,7]=>1110100=>[1,1,1,2,3] [8,5,4,1,7,2,3,6]=>1110100=>[1,1,1,2,3] [7,8,4,1,6,2,3,5]=>0110100=>[2,1,2,3] [7,8,5,1,6,2,3,4]=>0110100=>[2,1,2,3] [7,5,4,1,6,2,8,3]=>1110101=>[1,1,1,2,2,1] [5,3,4,1,6,8,2,7]=>1010010=>[1,2,3,2] [5,3,4,1,8,7,2,6]=>1010110=>[1,2,2,1,2] [8,3,4,1,6,7,2,5]=>1010010=>[1,2,3,2] [8,3,5,1,6,7,2,4]=>1010010=>[1,2,3,2] [8,5,4,1,6,7,2,3]=>1110010=>[1,1,1,3,2] [5,3,4,1,6,7,8,2]=>1010001=>[1,2,4,1] [2,3,4,8,1,7,5,6]=>0001010=>[4,2,2] [2,3,8,5,1,4,6,7]=>0011000=>[3,1,4] [2,3,7,5,1,4,8,6]=>0011001=>[3,1,3,1] [2,3,8,6,1,4,5,7]=>0011000=>[3,1,4] [2,3,7,6,1,4,8,5]=>0011001=>[3,1,3,1] [2,3,6,5,1,8,4,7]=>0011010=>[3,1,2,2] [2,3,8,5,1,7,4,6]=>0011010=>[3,1,2,2] [2,3,8,6,1,7,4,5]=>0011010=>[3,1,2,2] [2,3,6,5,1,7,8,4]=>0011001=>[3,1,3,1] [2,8,4,5,1,3,6,7]=>0101000=>[2,2,4] [2,7,4,5,1,3,8,6]=>0101001=>[2,2,3,1] [2,8,4,6,1,3,5,7]=>0101000=>[2,2,4] [2,7,4,8,1,3,5,6]=>0101000=>[2,2,4] [2,7,4,6,1,3,8,5]=>0101001=>[2,2,3,1] [2,8,6,5,1,3,4,7]=>0111000=>[2,1,1,4] [2,7,8,5,1,3,4,6]=>0011000=>[3,1,4] [2,7,8,6,1,3,4,5]=>0011000=>[3,1,4] [2,7,6,5,1,3,8,4]=>0111001=>[2,1,1,3,1] [2,6,4,5,1,8,3,7]=>0101010=>[2,2,2,2] [2,8,4,5,1,7,3,6]=>0101010=>[2,2,2,2] [2,8,4,6,1,7,3,5]=>0101010=>[2,2,2,2] [2,8,6,5,1,7,3,4]=>0111010=>[2,1,1,2,2] [2,6,4,5,1,7,8,3]=>0101001=>[2,2,3,1] [7,3,4,5,1,2,8,6]=>1001001=>[1,3,3,1] [7,3,4,6,1,2,8,5]=>1001001=>[1,3,3,1] [8,3,6,5,1,2,4,7]=>1011000=>[1,2,1,4] [7,3,8,5,1,2,4,6]=>1011000=>[1,2,1,4] [7,3,8,6,1,2,4,5]=>1011000=>[1,2,1,4] [7,3,6,5,1,2,8,4]=>1011001=>[1,2,1,3,1] [7,6,4,5,1,2,8,3]=>1101001=>[1,1,2,3,1] [6,3,4,5,1,8,2,7]=>1001010=>[1,3,2,2] [8,3,4,5,1,7,2,6]=>1001010=>[1,3,2,2] [8,3,4,6,1,7,2,5]=>1001010=>[1,3,2,2] [8,3,6,5,1,7,2,4]=>1011010=>[1,2,1,2,2] [8,6,4,5,1,7,2,3]=>1101010=>[1,1,2,2,2] [6,3,4,5,1,7,8,2]=>1001001=>[1,3,3,1] [2,3,4,8,6,1,5,7]=>0001100=>[4,1,3] [2,3,4,8,7,1,5,6]=>0001100=>[4,1,3] [2,3,4,7,6,1,8,5]=>0001101=>[4,1,2,1] [2,3,8,5,6,1,4,7]=>0010100=>[3,2,3] [2,3,8,5,7,1,4,6]=>0010100=>[3,2,3] [2,3,8,7,6,1,4,5]=>0011100=>[3,1,1,3] [2,3,7,5,6,1,8,4]=>0010101=>[3,2,2,1] [2,8,4,5,6,1,3,7]=>0100100=>[2,3,3] [2,8,4,5,7,1,3,6]=>0100100=>[2,3,3] [2,8,4,7,6,1,3,5]=>0101100=>[2,2,1,3] [2,8,7,5,6,1,3,4]=>0110100=>[2,1,2,3] [2,7,4,5,6,1,8,3]=>0100101=>[2,3,2,1] [8,3,4,5,7,1,2,6]=>1000100=>[1,4,3] [8,3,4,7,6,1,2,5]=>1001100=>[1,3,1,3] [8,3,7,5,6,1,2,4]=>1010100=>[1,2,2,3] [7,3,4,5,6,1,8,2]=>1000101=>[1,4,2,1] [2,3,4,5,8,7,1,6]=>0000110=>[5,1,2] [2,3,4,8,6,7,1,5]=>0001010=>[4,2,2] [2,3,8,5,6,7,1,4]=>0010010=>[3,3,2] [2,8,4,5,6,7,1,3]=>0100010=>[2,4,2] [9,1,2,3,4,5,6,7,8]=>10000000=>[1,8] [8,1,2,3,4,5,6,9,7]=>10000001=>[1,7,1] [7,1,2,3,4,5,9,6,8]=>10000010=>[1,6,2] [9,1,2,3,4,5,8,6,7]=>10000010=>[1,6,2] [7,1,2,3,4,5,8,9,6]=>10000001=>[1,7,1] [6,1,2,3,4,9,5,7,8]=>10000100=>[1,5,3] [6,1,2,3,4,8,5,9,7]=>10000101=>[1,5,2,1] [9,1,2,3,4,7,5,6,8]=>10000100=>[1,5,3] [9,1,2,3,4,8,5,6,7]=>10000100=>[1,5,3] [8,1,2,3,4,7,5,9,6]=>10000101=>[1,5,2,1] [6,1,2,3,4,7,9,5,8]=>10000010=>[1,6,2] [6,1,2,3,4,9,8,5,7]=>10000110=>[1,5,1,2] [9,1,2,3,4,7,8,5,6]=>10000010=>[1,6,2] [6,1,2,3,4,7,8,9,5]=>10000001=>[1,7,1] [5,1,2,3,8,4,6,9,7]=>10001001=>[1,4,3,1] [9,1,2,3,6,4,5,7,8]=>10001000=>[1,4,4] [8,1,2,3,9,4,5,6,7]=>10001000=>[1,4,4] [5,1,2,3,9,8,4,6,7]=>10001100=>[1,4,1,3] [9,1,2,3,6,8,4,5,7]=>10000100=>[1,5,3] [5,1,2,3,6,9,8,4,7]=>10000110=>[1,5,1,2] [5,1,2,3,6,7,8,9,4]=>10000001=>[1,7,1] [4,1,2,8,3,5,6,9,7]=>10010001=>[1,3,4,1] [4,1,2,9,3,5,8,6,7]=>10010010=>[1,3,3,2] [4,1,2,9,3,8,5,6,7]=>10010100=>[1,3,2,3] [9,1,2,5,3,4,6,7,8]=>10010000=>[1,3,5] [9,1,2,8,3,4,5,6,7]=>10010000=>[1,3,5] [7,1,2,8,3,4,5,9,6]=>10010001=>[1,3,4,1] [4,1,2,5,9,3,6,7,8]=>10001000=>[1,4,4] [4,1,2,8,9,3,5,6,7]=>10001000=>[1,4,4] [8,1,2,5,9,3,4,6,7]=>10001000=>[1,4,4] [8,1,2,9,6,3,4,5,7]=>10011000=>[1,3,1,4] [4,1,2,5,9,8,3,6,7]=>10001100=>[1,4,1,3] [9,1,2,8,6,7,3,4,5]=>10010100=>[1,3,2,3] [4,1,2,5,6,7,9,3,8]=>10000010=>[1,6,2] [4,1,2,9,6,7,8,3,5]=>10010010=>[1,3,3,2] [9,1,2,5,6,7,8,3,4]=>10000010=>[1,6,2] [4,1,2,5,6,7,8,9,3]=>10000001=>[1,7,1] [3,1,9,2,4,5,6,7,8]=>10100000=>[1,2,6] [3,1,8,2,4,5,6,9,7]=>10100001=>[1,2,5,1] [3,1,9,2,4,5,8,6,7]=>10100010=>[1,2,4,2] [3,1,5,2,7,4,9,6,8]=>10101010=>[1,2,2,2,2] [8,1,4,2,3,5,6,9,7]=>10100001=>[1,2,5,1] [9,1,4,2,3,5,8,6,7]=>10100010=>[1,2,4,2] [6,1,4,2,3,7,8,9,5]=>10100001=>[1,2,5,1] [9,1,8,2,3,4,5,6,7]=>10100000=>[1,2,6] [8,1,7,2,3,4,5,9,6]=>10100001=>[1,2,5,1] [3,1,4,9,2,5,6,7,8]=>10010000=>[1,3,5] [3,1,4,9,2,5,8,6,7]=>10010010=>[1,3,3,2] [3,1,9,8,2,4,5,6,7]=>10110000=>[1,2,1,5] [9,1,4,5,2,3,6,7,8]=>10010000=>[1,3,5] [7,1,4,5,2,3,8,9,6]=>10010001=>[1,3,4,1] [7,1,4,9,2,3,5,6,8]=>10010000=>[1,3,5] [9,1,4,8,2,3,5,6,7]=>10010000=>[1,3,5] [9,1,6,5,2,3,4,7,8]=>10110000=>[1,2,1,5] [7,1,9,6,2,3,4,5,8]=>10110000=>[1,2,1,5] [9,1,8,6,2,3,4,5,7]=>10110000=>[1,2,1,5] [7,1,8,9,2,3,4,5,6]=>10010000=>[1,3,5] [3,1,4,8,9,2,5,6,7]=>10001000=>[1,4,4] [3,1,8,9,7,2,4,5,6]=>10011000=>[1,3,1,4] [8,1,4,5,6,2,3,9,7]=>10001001=>[1,4,3,1] [8,1,4,9,7,2,3,5,6]=>10011000=>[1,3,1,4] [8,1,9,5,6,2,3,4,7]=>10101000=>[1,2,2,4] [8,1,9,7,6,2,3,4,5]=>10111000=>[1,2,1,1,4] [7,1,4,5,6,2,8,9,3]=>10001001=>[1,4,3,1] [3,1,4,5,6,9,2,7,8]=>10000100=>[1,5,3] [3,1,4,5,6,8,2,9,7]=>10000101=>[1,5,2,1] [3,1,4,9,8,7,2,5,6]=>10011100=>[1,3,1,1,3] [3,1,9,8,6,7,2,4,5]=>10110100=>[1,2,1,2,3] [9,1,4,5,6,7,2,3,8]=>10000100=>[1,5,3] [9,1,4,8,6,7,2,3,5]=>10010100=>[1,3,2,3] [9,1,8,5,6,7,2,3,4]=>10100100=>[1,2,3,3] [8,1,4,5,6,7,2,9,3]=>10000101=>[1,5,2,1] [3,1,4,5,6,7,9,2,8]=>10000010=>[1,6,2] [3,1,4,9,6,7,8,2,5]=>10010010=>[1,3,3,2] [3,1,9,5,6,7,8,2,4]=>10100010=>[1,2,4,2] [9,1,4,5,6,7,8,2,3]=>10000010=>[1,6,2] [3,1,4,5,6,7,8,9,2]=>10000001=>[1,7,1] [2,9,1,3,4,5,6,7,8]=>01000000=>[2,7] [2,8,1,3,4,5,6,9,7]=>01000001=>[2,6,1] [2,7,1,3,4,5,9,6,8]=>01000010=>[2,5,2] [2,9,1,3,4,5,8,6,7]=>01000010=>[2,5,2] [2,7,1,3,4,5,8,9,6]=>01000001=>[2,6,1] [2,6,1,3,4,9,5,7,8]=>01000100=>[2,4,3] [2,9,1,3,4,8,5,6,7]=>01000100=>[2,4,3] [2,8,1,3,9,4,5,6,7]=>01001000=>[2,3,4] [2,9,1,3,8,7,4,5,6]=>01001100=>[2,3,1,3] [2,9,1,3,6,7,8,4,5]=>01000010=>[2,5,2] [2,5,1,3,6,7,8,9,4]=>01000001=>[2,6,1] [2,4,1,6,3,8,5,9,7]=>01010101=>[2,2,2,2,1] [2,9,1,8,3,4,5,6,7]=>01010000=>[2,2,5] [2,7,1,6,3,4,8,9,5]=>01010001=>[2,2,4,1] [2,6,1,5,3,7,8,9,4]=>01010001=>[2,2,4,1] [2,4,1,5,9,3,6,7,8]=>01001000=>[2,3,4] [2,4,1,8,9,3,5,6,7]=>01001000=>[2,3,4] [2,8,1,9,7,3,4,5,6]=>01011000=>[2,2,1,4] [2,9,1,8,6,7,3,4,5]=>01010100=>[2,2,2,3] [2,4,1,5,6,7,9,3,8]=>01000010=>[2,5,2] [2,4,1,5,6,9,8,3,7]=>01000110=>[2,4,1,2] [2,9,1,5,6,7,8,3,4]=>01000010=>[2,5,2] [2,4,1,5,6,7,8,9,3]=>01000001=>[2,6,1] [9,3,1,2,4,5,6,7,8]=>11000000=>[1,1,7] [8,3,1,2,4,5,6,9,7]=>11000001=>[1,1,6,1] [9,3,1,2,4,5,8,6,7]=>11000010=>[1,1,5,2] [6,3,1,2,4,7,8,9,5]=>11000001=>[1,1,6,1] [9,3,1,2,6,7,8,4,5]=>11000010=>[1,1,5,2] [5,3,1,2,6,7,8,9,4]=>11000001=>[1,1,6,1] [9,4,1,2,3,5,6,7,8]=>11000000=>[1,1,7] [7,4,1,2,3,5,8,9,6]=>11000001=>[1,1,6,1] [6,4,1,2,3,7,8,9,5]=>11000001=>[1,1,6,1] [5,9,1,2,3,4,6,7,8]=>01000000=>[2,7] [5,8,1,2,3,4,6,9,7]=>01000001=>[2,6,1] [5,7,1,2,3,4,8,9,6]=>01000001=>[2,6,1] [9,6,1,2,3,4,5,7,8]=>11000000=>[1,1,7] [8,6,1,2,3,4,5,9,7]=>11000001=>[1,1,6,1] [9,7,1,2,3,4,5,6,8]=>11000000=>[1,1,7] [8,9,1,2,3,4,5,6,7]=>01000000=>[2,7] [8,7,1,2,3,4,5,9,6]=>11000001=>[1,1,6,1] [7,6,1,2,3,4,9,5,8]=>11000010=>[1,1,5,2] [9,6,1,2,3,4,8,5,7]=>11000010=>[1,1,5,2] [9,7,1,2,3,4,8,5,6]=>11000010=>[1,1,5,2] [7,6,1,2,3,4,8,9,5]=>11000001=>[1,1,6,1] [5,6,1,2,3,9,4,7,8]=>01000100=>[2,4,3] [5,9,1,2,3,8,4,6,7]=>01000100=>[2,4,3] [9,6,1,2,3,7,4,5,8]=>11000100=>[1,1,4,3] [9,8,1,2,3,7,4,5,6]=>11000100=>[1,1,4,3] [8,6,1,2,3,7,4,9,5]=>11000101=>[1,1,4,2,1] [5,6,1,2,3,7,9,4,8]=>01000010=>[2,5,2] [9,6,1,2,3,7,8,4,5]=>11000010=>[1,1,5,2] [5,6,1,2,3,7,8,9,4]=>01000001=>[2,6,1] [5,4,1,2,9,3,6,7,8]=>11001000=>[1,1,3,4] [8,4,1,2,9,3,5,6,7]=>11001000=>[1,1,3,4] [5,9,1,2,6,3,4,7,8]=>01001000=>[2,3,4] [9,7,1,2,6,3,8,4,5]=>11001010=>[1,1,3,2,2] [5,4,1,2,6,9,3,7,8]=>11000100=>[1,1,4,3] [9,8,1,2,6,7,3,4,5]=>11000100=>[1,1,4,3] [5,4,1,2,6,7,9,3,8]=>11000010=>[1,1,5,2] [5,4,1,2,6,7,8,9,3]=>11000001=>[1,1,6,1] [4,3,1,9,2,5,6,7,8]=>11010000=>[1,1,2,5] [9,3,1,8,2,4,5,6,7]=>11010000=>[1,1,2,5] [9,4,1,5,2,3,6,7,8]=>11010000=>[1,1,2,5] [9,4,1,8,2,3,5,6,7]=>11010000=>[1,1,2,5] [6,9,1,5,2,3,4,7,8]=>01010000=>[2,2,5] [9,7,1,6,2,3,4,5,8]=>11010000=>[1,1,2,5] [8,7,1,9,2,3,4,5,6]=>11010000=>[1,1,2,5] [8,7,1,6,2,3,4,9,5]=>11010001=>[1,1,2,4,1] [9,4,1,6,2,8,3,5,7]=>11010100=>[1,1,2,2,3] [9,8,1,6,2,7,3,4,5]=>11010100=>[1,1,2,2,3] [4,3,1,5,9,2,6,7,8]=>11001000=>[1,1,3,4] [9,8,1,7,6,2,3,4,5]=>11011000=>[1,1,2,1,4] [4,3,1,5,6,8,2,9,7]=>11000101=>[1,1,4,2,1] [4,3,1,5,9,8,2,6,7]=>11001100=>[1,1,3,1,3] [4,3,1,5,8,7,2,9,6]=>11001101=>[1,1,3,1,2,1] [8,9,1,5,6,7,2,3,4]=>01000100=>[2,4,3] [4,3,1,5,6,7,9,2,8]=>11000010=>[1,1,5,2] [4,3,1,5,6,9,8,2,7]=>11000110=>[1,1,4,1,2] [9,3,1,5,6,7,8,2,4]=>11000010=>[1,1,5,2] [9,4,1,5,6,7,8,2,3]=>11000010=>[1,1,5,2] [4,3,1,5,6,7,8,9,2]=>11000001=>[1,1,6,1] [2,3,9,1,4,5,6,7,8]=>00100000=>[3,6] [2,3,8,1,4,5,6,9,7]=>00100001=>[3,5,1] [2,3,9,1,4,5,8,6,7]=>00100010=>[3,4,2] [2,3,9,1,4,7,8,5,6]=>00100010=>[3,4,2] [2,3,9,1,8,7,4,5,6]=>00101100=>[3,2,1,3] [2,3,8,1,6,7,4,9,5]=>00100101=>[3,3,2,1] [2,3,5,1,6,7,9,4,8]=>00100010=>[3,4,2] [2,3,9,1,6,7,8,4,5]=>00100010=>[3,4,2] [2,3,5,1,6,7,8,9,4]=>00100001=>[3,5,1] [2,9,4,1,3,5,6,7,8]=>01100000=>[2,1,6] [2,6,4,1,3,7,8,9,5]=>01100001=>[2,1,5,1] [2,9,5,1,3,4,6,7,8]=>01100000=>[2,1,6] [2,6,9,1,3,4,5,7,8]=>00100000=>[3,6] [2,9,7,1,3,4,5,6,8]=>01100000=>[2,1,6] [2,9,8,1,3,4,5,6,7]=>01100000=>[2,1,6] [2,6,7,1,3,4,8,9,5]=>00100001=>[3,5,1] [2,9,4,1,6,3,5,7,8]=>01101000=>[2,1,2,4] [2,8,4,1,9,3,5,6,7]=>01101000=>[2,1,2,4] [2,9,4,1,6,3,8,5,7]=>01101010=>[2,1,2,2,2] [2,9,8,1,7,3,4,5,6]=>01101000=>[2,1,2,4] [2,9,5,1,6,7,8,3,4]=>01100010=>[2,1,4,2] [9,3,4,1,2,5,6,7,8]=>10100000=>[1,2,6] [6,3,4,1,2,7,8,9,5]=>10100001=>[1,2,5,1] [9,3,7,1,2,4,5,6,8]=>10100000=>[1,2,6] [9,3,8,1,2,4,5,6,7]=>10100000=>[1,2,6] [9,5,4,1,2,3,6,7,8]=>11100000=>[1,1,1,6] [8,5,4,1,2,3,6,9,7]=>11100001=>[1,1,1,5,1] [6,9,4,1,2,3,5,7,8]=>01100000=>[2,1,6] [6,8,4,1,2,3,5,9,7]=>01100001=>[2,1,5,1] [9,7,4,1,2,3,5,6,8]=>11100000=>[1,1,1,6] [9,8,4,1,2,3,5,6,7]=>11100000=>[1,1,1,6] [6,9,5,1,2,3,4,7,8]=>01100000=>[2,1,6] [6,8,5,1,2,3,4,9,7]=>01100001=>[2,1,5,1] [8,7,5,1,2,3,4,9,6]=>11100001=>[1,1,1,5,1] [6,7,9,1,2,3,4,5,8]=>00100000=>[3,6] [6,9,8,1,2,3,4,5,7]=>01100000=>[2,1,6] [9,7,8,1,2,3,4,5,6]=>10100000=>[1,2,6] [6,7,8,1,2,3,4,9,5]=>00100001=>[3,5,1] [6,5,4,1,2,8,3,9,7]=>11100101=>[1,1,1,3,2,1] [9,8,5,1,7,2,3,4,6]=>11101000=>[1,1,1,2,4] [7,8,9,1,6,2,3,4,5]=>00101000=>[3,2,4] [7,8,5,1,6,2,3,9,4]=>01101001=>[2,1,2,3,1] [5,3,4,1,6,8,2,9,7]=>10100101=>[1,2,3,2,1] [9,3,4,1,8,7,2,5,6]=>10101100=>[1,2,2,1,3] [8,3,4,1,6,7,2,9,5]=>10100101=>[1,2,3,2,1] [9,5,4,1,8,7,2,3,6]=>11101100=>[1,1,1,2,1,3] [8,5,4,1,6,7,2,9,3]=>11100101=>[1,1,1,3,2,1] [5,3,4,1,9,7,8,2,6]=>10101010=>[1,2,2,2,2] [9,3,5,1,6,7,8,2,4]=>10100010=>[1,2,4,2] [9,5,4,1,6,7,8,2,3]=>11100010=>[1,1,1,4,2] [5,3,4,1,6,7,8,9,2]=>10100001=>[1,2,5,1] [2,3,4,9,1,5,6,7,8]=>00010000=>[4,5] [2,3,4,9,1,5,8,6,7]=>00010010=>[4,3,2] [2,3,4,9,1,7,8,5,6]=>00010010=>[4,3,2] [2,3,4,6,1,7,8,9,5]=>00010001=>[4,4,1] [2,3,9,5,1,4,6,7,8]=>00110000=>[3,1,5] [2,3,9,6,1,4,5,7,8]=>00110000=>[3,1,5] [2,3,7,9,1,4,5,6,8]=>00010000=>[4,5] [2,3,9,8,1,4,5,6,7]=>00110000=>[3,1,5] [2,3,9,5,1,7,4,6,8]=>00110100=>[3,1,2,3] [2,3,9,6,1,7,8,4,5]=>00110010=>[3,1,3,2] [2,9,4,5,1,3,6,7,8]=>01010000=>[2,2,5] [2,7,4,5,1,3,8,9,6]=>01010001=>[2,2,4,1] [2,9,8,6,1,3,4,5,7]=>01110000=>[2,1,1,5] [2,7,8,9,1,3,4,5,6]=>00010000=>[4,5] [2,8,9,6,1,7,3,4,5]=>00110100=>[3,1,2,3] [2,9,6,5,1,7,8,3,4]=>01110010=>[2,1,1,3,2] [7,3,4,5,1,2,8,9,6]=>10010001=>[1,3,4,1] [9,3,4,8,1,2,5,6,7]=>10010000=>[1,3,5] [7,3,4,8,1,2,5,9,6]=>10010001=>[1,3,4,1] [7,3,8,9,1,2,4,5,6]=>10010000=>[1,3,5] [9,8,4,5,1,2,3,6,7]=>11010000=>[1,1,2,5] [7,8,4,6,1,2,3,9,5]=>01010001=>[2,2,4,1] [9,8,6,5,1,2,3,4,7]=>11110000=>[1,1,1,1,5] [7,8,9,6,1,2,3,4,5]=>00110000=>[3,1,5] [7,8,6,5,1,2,3,9,4]=>01110001=>[2,1,1,4,1] [8,3,9,6,1,7,2,4,5]=>10110100=>[1,2,1,2,3] [8,3,6,5,1,7,2,9,4]=>10110101=>[1,2,1,2,2,1] [8,6,4,5,1,7,2,9,3]=>11010101=>[1,1,2,2,2,1] [6,3,4,5,1,7,9,2,8]=>10010010=>[1,3,3,2] [6,3,4,5,1,9,8,2,7]=>10010110=>[1,3,2,1,2] [9,3,4,6,1,7,8,2,5]=>10010010=>[1,3,3,2] [6,3,4,5,1,7,8,9,2]=>10010001=>[1,3,4,1] [2,3,4,5,9,1,6,7,8]=>00001000=>[5,4] [2,3,4,5,8,1,6,9,7]=>00001001=>[5,3,1] [2,3,4,5,9,1,8,6,7]=>00001010=>[5,2,2] [2,3,4,5,7,1,8,9,6]=>00001001=>[5,3,1] [2,3,4,9,6,1,5,7,8]=>00011000=>[4,1,4] [2,3,4,9,7,1,5,6,8]=>00011000=>[4,1,4] [2,3,4,9,6,1,8,5,7]=>00011010=>[4,1,2,2] [2,3,4,9,7,1,8,5,6]=>00011010=>[4,1,2,2] [2,3,9,5,6,1,4,7,8]=>00101000=>[3,2,4] [2,3,8,5,6,1,4,9,7]=>00101001=>[3,2,3,1] [2,3,9,5,6,1,8,4,7]=>00101010=>[3,2,2,2] [2,8,4,5,6,1,3,9,7]=>01001001=>[2,3,3,1] [2,8,9,5,7,1,3,4,6]=>00101000=>[3,2,4] [2,8,9,7,6,1,3,4,5]=>00111000=>[3,1,1,4] [2,9,7,5,6,1,8,3,4]=>01101010=>[2,1,2,2,2] [8,3,4,5,6,1,2,9,7]=>10001001=>[1,4,3,1] [8,3,4,7,6,1,2,9,5]=>10011001=>[1,3,1,3,1] [8,3,9,7,6,1,2,4,5]=>10111000=>[1,2,1,1,4] [8,3,7,5,6,1,2,9,4]=>10101001=>[1,2,2,3,1] [9,7,4,5,6,1,2,3,8]=>11001000=>[1,1,3,4] [8,9,4,5,6,1,2,3,7]=>01001000=>[2,3,4] [8,9,7,5,6,1,2,3,4]=>01101000=>[2,1,2,4] [8,7,4,5,6,1,2,9,3]=>11001001=>[1,1,3,3,1] [7,3,4,5,6,1,9,2,8]=>10001010=>[1,4,2,2] [9,3,4,5,6,1,8,2,7]=>10001010=>[1,4,2,2] [9,3,7,5,6,1,8,2,4]=>10101010=>[1,2,2,2,2] [7,3,4,5,6,1,8,9,2]=>10001001=>[1,4,3,1] [2,3,4,5,6,9,1,7,8]=>00000100=>[6,3] [2,3,4,5,6,8,1,9,7]=>00000101=>[6,2,1] [2,3,4,5,9,7,1,6,8]=>00001100=>[5,1,3] [2,3,4,5,9,8,1,6,7]=>00001100=>[5,1,3] [2,3,4,9,6,7,1,5,8]=>00010100=>[4,2,3] [2,3,9,5,6,7,1,4,8]=>00100100=>[3,3,3] [2,3,9,5,6,8,1,4,7]=>00100100=>[3,3,3] [2,9,4,5,6,7,1,3,8]=>01000100=>[2,4,3] [2,9,4,5,6,8,1,3,7]=>01000100=>[2,4,3] [2,9,4,5,8,7,1,3,6]=>01001100=>[2,3,1,3] [2,9,4,8,6,7,1,3,5]=>01010100=>[2,2,2,3] [2,9,8,5,6,7,1,3,4]=>01100100=>[2,1,3,3] [2,8,4,5,6,7,1,9,3]=>01000101=>[2,4,2,1] [9,3,4,5,6,7,1,2,8]=>10000100=>[1,5,3] [9,3,4,5,6,8,1,2,7]=>10000100=>[1,5,3] [9,8,4,5,6,7,1,2,3]=>11000100=>[1,1,4,3] [8,3,4,5,6,7,1,9,2]=>10000101=>[1,5,2,1] [2,3,4,5,6,7,9,1,8]=>00000010=>[7,2] [2,3,4,5,6,9,8,1,7]=>00000110=>[6,1,2] [2,3,4,5,9,7,8,1,6]=>00001010=>[5,2,2] [2,3,4,9,6,7,8,1,5]=>00010010=>[4,3,2] [2,3,9,5,6,7,8,1,4]=>00100010=>[3,4,2] [2,9,4,5,6,7,8,1,3]=>01000010=>[2,5,2] [9,3,4,5,6,7,8,1,2]=>10000010=>[1,6,2] [2,3,4,5,6,7,8,9,1]=>00000001=>[8,1] [3,5,2,6,1,4,8,7]=>0101001=>[2,2,3,1] [3,5,2,6,4,1,8,7]=>0101101=>[2,2,1,2,1] [3,5,2,7,4,8,1,6]=>0101010=>[2,2,2,2] [3,5,2,7,4,8,6,1]=>0101011=>[2,2,2,1,1] [4,5,7,2,3,8,6,1]=>0010011=>[3,3,1,1] [4,5,7,2,3,8,1,6]=>0010010=>[3,3,2] [4,5,6,2,3,1,8,7]=>0010101=>[3,2,2,1] [4,5,6,2,1,3,8,7]=>0011001=>[3,1,3,1] [3,5,1,6,4,2,8,7]=>0101101=>[2,2,1,2,1] [4,5,6,1,3,2,8,7]=>0010101=>[3,2,2,1] [4,5,6,3,1,2,8,7]=>0011001=>[3,1,3,1] [4,5,7,3,2,8,1,6]=>0011010=>[3,1,2,2] [4,5,7,3,2,8,6,1]=>0011011=>[3,1,2,1,1] [4,6,7,3,8,2,5,1]=>0010101=>[3,2,2,1] [4,6,7,3,8,2,1,5]=>0010110=>[3,2,1,2] [4,6,7,3,8,1,2,5]=>0010100=>[3,2,3] [4,5,7,3,1,8,2,6]=>0011010=>[3,1,2,2] [4,5,7,1,3,8,2,6]=>0010010=>[3,3,2] [3,5,1,7,4,8,2,6]=>0101010=>[2,2,2,2] [2,1,5,7,4,8,3,6]=>1001010=>[1,3,2,2] [2,1,5,7,4,8,6,3]=>1001011=>[1,3,2,1,1] [3,5,1,7,4,8,6,2]=>0101011=>[2,2,2,1,1] [4,5,7,1,3,8,6,2]=>0010011=>[3,3,1,1] [4,5,7,3,1,8,6,2]=>0011011=>[3,1,2,1,1] [4,6,7,3,8,1,5,2]=>0010101=>[3,2,2,1] [4,6,7,3,8,5,1,2]=>0010110=>[3,2,1,2] [4,6,7,3,8,5,2,1]=>0010111=>[3,2,1,1,1] [5,6,7,8,3,1,4,2]=>0001101=>[4,1,2,1] [5,6,7,8,1,3,4,2]=>0001001=>[4,3,1] [4,6,7,1,8,3,5,2]=>0010101=>[3,2,2,1] [3,6,1,7,8,4,5,2]=>0100101=>[2,3,2,1] [2,1,6,7,8,4,5,3]=>1000101=>[1,4,2,1] [2,1,6,7,8,4,3,5]=>1000110=>[1,4,1,2] [3,6,1,7,8,4,2,5]=>0100110=>[2,3,1,2] [4,6,7,1,8,3,2,5]=>0010110=>[3,2,1,2] [5,6,7,8,1,3,2,4]=>0001010=>[4,2,2] [4,5,7,2,1,8,3,6]=>0011010=>[3,1,2,2] [4,6,7,2,8,1,3,5]=>0010100=>[3,2,3] [4,6,7,2,8,3,1,5]=>0010110=>[3,2,1,2] [4,6,7,2,8,3,5,1]=>0010101=>[3,2,2,1] [3,6,2,7,8,4,5,1]=>0100101=>[2,3,2,1] [3,6,2,7,8,4,1,5]=>0100110=>[2,3,1,2] [3,6,2,7,8,1,4,5]=>0100100=>[2,3,3] [3,5,2,7,1,8,4,6]=>0101010=>[2,2,2,2] [3,4,2,1,7,8,5,6]=>0110010=>[2,1,3,2] [3,4,1,2,7,8,6,5]=>0100011=>[2,4,1,1] [3,5,2,7,1,8,6,4]=>0101011=>[2,2,2,1,1] [3,6,2,7,8,1,5,4]=>0100101=>[2,3,2,1] [3,6,2,7,8,5,1,4]=>0100110=>[2,3,1,2] [3,6,2,7,8,5,4,1]=>0100111=>[2,3,1,1,1] [4,6,7,2,8,5,3,1]=>0010111=>[3,2,1,1,1] [4,6,7,2,8,5,1,3]=>0010110=>[3,2,1,2] [4,6,7,2,8,1,5,3]=>0010101=>[3,2,2,1] [4,5,7,2,1,8,6,3]=>0011011=>[3,1,2,1,1] [4,5,7,1,2,8,6,3]=>0010011=>[3,3,1,1] [3,5,1,7,2,8,6,4]=>0101011=>[2,2,2,1,1] [2,1,5,7,3,8,6,4]=>1001011=>[1,3,2,1,1] [2,1,6,7,8,3,5,4]=>1000101=>[1,4,2,1] [3,6,1,7,8,2,5,4]=>0100101=>[2,3,2,1] [4,6,7,1,8,2,5,3]=>0010101=>[3,2,2,1] [5,6,7,8,1,2,4,3]=>0001001=>[4,3,1] [5,6,7,8,2,1,4,3]=>0001101=>[4,1,2,1] [5,6,7,8,2,4,1,3]=>0001010=>[4,2,2] [5,6,7,8,2,4,3,1]=>0001011=>[4,2,1,1] [5,6,7,8,1,4,2,3]=>0001010=>[4,2,2] [4,6,7,1,8,5,2,3]=>0010110=>[3,2,1,2] [3,6,1,7,8,5,2,4]=>0100110=>[2,3,1,2] [2,1,6,7,8,5,3,4]=>1000110=>[1,4,1,2] [3,6,1,7,8,5,4,2]=>0100111=>[2,3,1,1,1] [4,6,7,1,8,5,3,2]=>0010111=>[3,2,1,1,1] [5,6,7,8,1,4,3,2]=>0001011=>[4,2,1,1] [5,6,7,8,4,1,3,2]=>0001101=>[4,1,2,1] [3,4,2,1,6,5,8,7,10,9]=>011010101=>[2,1,2,2,2,1] [3,5,2,6,4,1,8,7,10,9]=>010110101=>[2,2,1,2,2,1] [3,5,2,7,4,8,6,1,10,9]=>010101101=>[2,2,2,1,2,1] [3,5,2,7,4,9,6,10,8,1]=>010101011=>[2,2,2,2,1,1] [2,1,5,6,4,3,8,7,10,9]=>100110101=>[1,3,1,2,2,1] [4,5,6,3,2,1,8,7,10,9]=>001110101=>[3,1,1,2,2,1] [4,5,7,3,2,8,6,1,10,9]=>001101101=>[3,1,2,1,2,1] [4,5,7,3,2,9,6,10,8,1]=>001101011=>[3,1,2,2,1,1] [2,1,5,7,4,8,6,3,10,9]=>100101101=>[1,3,2,1,2,1] [4,6,7,3,8,5,2,1,10,9]=>001011101=>[3,2,1,1,2,1] [4,6,7,3,9,5,2,10,8,1]=>001011011=>[3,2,1,2,1,1] [2,1,5,7,4,9,6,10,8,3]=>100101011=>[1,3,2,2,1,1] [4,6,8,3,9,5,10,7,2,1]=>001010111=>[3,2,2,1,1,1] [2,1,4,3,7,8,6,5,10,9]=>101001101=>[1,2,3,1,2,1] [3,4,2,1,7,8,6,5,10,9]=>011001101=>[2,1,3,1,2,1] [3,6,2,7,8,5,4,1,10,9]=>010011101=>[2,3,1,1,2,1] [3,6,2,7,9,5,4,10,8,1]=>010011011=>[2,3,1,2,1,1] [2,1,6,7,8,5,4,3,10,9]=>100011101=>[1,4,1,1,2,1] [5,6,7,8,4,3,2,1,10,9]=>000111101=>[4,1,1,1,2,1] [5,6,7,9,4,3,2,10,8,1]=>000111011=>[4,1,1,2,1,1] [2,1,6,7,9,5,4,10,8,3]=>100011011=>[1,4,1,2,1,1] [5,6,8,9,4,3,10,7,2,1]=>000110111=>[4,1,2,1,1,1] [2,1,4,3,7,9,6,10,8,5]=>101001011=>[1,2,3,2,1,1] [3,4,2,1,7,9,6,10,8,5]=>011001011=>[2,1,3,2,1,1] [3,6,2,8,9,5,10,7,4,1]=>010010111=>[2,3,2,1,1,1] [2,1,6,8,9,5,10,7,4,3]=>100010111=>[1,4,2,1,1,1] [5,7,8,9,4,10,6,3,2,1]=>000101111=>[4,2,1,1,1,1] [6,7,8,9,10,1,4,5,3,2]=>000010011=>[5,3,1,1] [6,7,8,9,10,1,4,5,2,3]=>000010010=>[5,3,2] [6,7,8,9,10,4,3,2,1,5]=>000011110=>[5,1,1,1,2] [6,7,8,9,10,1,3,4,5,2]=>000010001=>[5,4,1] [6,7,8,9,10,3,4,1,2,5]=>000010100=>[5,2,3] [6,7,8,9,10,3,4,2,1,5]=>000010110=>[5,2,1,2] [6,7,8,9,10,2,3,4,1,5]=>000010010=>[5,3,2] [2,1,4,3,6,5,9,10,8,7]=>101010011=>[1,2,2,3,1,1] [3,4,2,1,6,5,9,10,8,7]=>011010011=>[2,1,2,3,1,1] [3,5,2,6,4,1,9,10,8,7]=>010110011=>[2,2,1,3,1,1] [3,5,2,8,4,9,10,7,6,1]=>010100111=>[2,2,3,1,1,1] [2,1,5,6,4,3,9,10,8,7]=>100110011=>[1,3,1,3,1,1] [4,5,6,3,2,1,9,10,8,7]=>001110011=>[3,1,1,3,1,1] [4,5,8,3,2,9,10,7,6,1]=>001100111=>[3,1,3,1,1,1] [2,1,5,8,4,9,10,7,6,3]=>100100111=>[1,3,3,1,1,1] [4,7,8,3,9,10,6,5,2,1]=>001001111=>[3,3,1,1,1,1] [2,1,4,3,8,9,10,7,6,5]=>101000111=>[1,2,4,1,1,1] [3,4,2,1,8,9,10,7,6,5]=>011000111=>[2,1,4,1,1,1] [3,7,2,8,9,10,6,5,4,1]=>010001111=>[2,4,1,1,1,1] [2,1,7,8,9,10,6,5,4,3]=>100001111=>[1,5,1,1,1,1] [6,7,8,9,10,1,5,4,3,2]=>000010111=>[5,2,1,1,1] [6,7,8,9,10,5,4,3,2,1]=>000011111=>[5,1,1,1,1,1] [6,5,8,7,3,4,1,2]=>1011010=>[1,2,1,2,2] [3,6,7,4,5,8,1,2]=>0010010=>[3,3,2] [2,6,7,4,5,1,8,3]=>0010101=>[3,2,2,1] [1,6,7,4,5,2,3,8]=>0010100=>[3,2,3] [1,5,4,7,6,2,3,8]=>0101100=>[2,2,1,3] [2,5,4,7,6,1,8,3]=>0101101=>[2,2,1,2,1] [3,5,4,7,6,8,1,2]=>0101010=>[2,2,2,2] [4,5,3,7,8,6,1,2]=>0100110=>[2,3,1,2] [5,4,3,8,7,6,1,2]=>1101110=>[1,1,2,1,1,2] [6,4,8,3,7,5,1,2]=>1010110=>[1,2,2,1,2] [6,3,8,4,5,7,1,2]=>1010010=>[1,2,3,2] [5,3,4,8,6,7,1,2]=>1001010=>[1,3,2,2] [4,3,5,6,8,7,1,2]=>1000110=>[1,4,1,2] [3,2,5,6,1,8,7,4]=>1001011=>[1,3,2,1,1] [4,2,5,6,8,1,7,3]=>1000101=>[1,4,2,1] [5,2,4,8,6,1,7,3]=>1001101=>[1,3,1,2,1] [6,2,8,4,5,1,7,3]=>1010101=>[1,2,2,2,1] [7,8,2,4,5,1,6,3]=>0100101=>[2,3,2,1] [7,8,1,4,5,2,3,6]=>0100100=>[2,3,3] [6,1,8,4,5,2,3,7]=>1010100=>[1,2,2,3] [5,1,4,8,6,2,3,7]=>1001100=>[1,3,1,3] [4,1,3,2,8,6,5,7]=>1010110=>[1,2,2,1,2] [5,1,3,8,2,6,4,7]=>1001010=>[1,3,2,2] [6,1,8,3,2,5,4,7]=>1011010=>[1,2,1,2,2] [7,8,1,3,2,5,4,6]=>0101010=>[2,2,2,2] [7,8,2,3,1,5,6,4]=>0101001=>[2,2,3,1] [6,2,8,3,1,5,7,4]=>1011001=>[1,2,1,3,1] [5,2,3,8,1,6,7,4]=>1001001=>[1,3,3,1] [6,3,8,2,1,7,5,4]=>1011011=>[1,2,1,2,1,1] [7,8,3,2,1,6,5,4]=>0111011=>[2,1,1,2,1,1] [7,8,4,2,6,1,5,3]=>0110101=>[2,1,2,2,1] [5,4,2,8,7,1,6,3]=>1101101=>[1,1,2,1,2,1] [4,5,2,7,8,1,6,3]=>0100101=>[2,3,2,1] [2,5,3,7,1,6,8,4]=>0101001=>[2,2,3,1] [1,5,3,7,2,6,4,8]=>0101010=>[2,2,2,2] [1,6,7,3,2,5,4,8]=>0011010=>[3,1,2,2] [2,6,7,3,1,5,8,4]=>0011001=>[3,1,3,1] [3,6,7,2,1,8,5,4]=>0011011=>[3,1,2,1,1] [7,8,5,6,2,1,4,3]=>0101101=>[2,2,1,2,1] [6,5,8,7,1,2,3,4]=>1011000=>[1,2,1,4] [5,4,1,8,7,2,3,6]=>1101100=>[1,1,2,1,3] [6,4,8,1,7,2,3,5]=>1010100=>[1,2,2,3] [7,8,3,1,2,6,4,5]=>0110010=>[2,1,3,2] [5,3,1,8,2,7,4,6]=>1101010=>[1,1,2,2,2] [4,3,1,2,8,7,5,6]=>1100110=>[1,1,3,1,2] [4,2,1,3,8,5,7,6]=>1100101=>[1,1,3,2,1] [5,2,1,8,3,4,7,6]=>1101001=>[1,1,2,3,1] [6,2,8,1,3,4,7,5]=>1010001=>[1,2,4,1] [7,8,2,1,3,4,6,5]=>0110001=>[2,1,4,1] [4,3,1,2,6,5,8,7]=>1100101=>[1,1,3,2,1] [5,3,1,6,2,4,8,7]=>1101001=>[1,1,2,3,1] [6,3,1,5,2,4,8,7]=>1101001=>[1,1,2,3,1] [7,3,1,5,2,8,4,6]=>1101010=>[1,1,2,2,2] [8,4,5,1,2,7,3,6]=>1010010=>[1,2,3,2] [7,4,5,1,2,8,3,6]=>1010010=>[1,2,3,2] [6,4,5,1,2,3,8,7]=>1010001=>[1,2,4,1] [5,4,6,1,2,3,8,7]=>1010001=>[1,2,4,1] [2,1,6,5,3,4,8,7]=>1011001=>[1,2,1,3,1] [3,6,1,5,2,4,8,7]=>0101001=>[2,2,3,1] [4,6,5,1,2,3,8,7]=>0110001=>[2,1,4,1] [5,6,4,1,2,3,8,7]=>0110001=>[2,1,4,1] [6,5,4,1,2,3,8,7]=>1110001=>[1,1,1,4,1] [7,5,4,1,2,8,3,6]=>1110010=>[1,1,1,3,2] [8,6,4,1,7,2,3,5]=>1110100=>[1,1,1,2,3] [7,6,4,1,8,2,3,5]=>1110100=>[1,1,1,2,3] [6,7,4,1,8,2,3,5]=>0110100=>[2,1,2,3] [5,7,4,1,2,8,3,6]=>0110010=>[2,1,3,2] [4,7,5,1,2,8,3,6]=>0110010=>[2,1,3,2] [3,7,1,5,2,8,4,6]=>0101010=>[2,2,2,2] [2,1,7,5,3,8,4,6]=>1011010=>[1,2,1,2,2] [2,1,8,5,3,7,4,6]=>1011010=>[1,2,1,2,2] [3,8,1,5,2,7,4,6]=>0101010=>[2,2,2,2] [4,8,5,1,2,7,3,6]=>0110010=>[2,1,3,2] [5,8,4,1,2,7,3,6]=>0110010=>[2,1,3,2] [6,8,4,1,7,2,3,5]=>0110100=>[2,1,2,3] [8,7,4,1,6,2,3,5]=>1110100=>[1,1,1,2,3] [5,8,6,7,1,2,3,4]=>0101000=>[2,2,4] [4,8,6,1,7,2,3,5]=>0110100=>[2,1,2,3] [3,8,1,6,7,2,4,5]=>0100100=>[2,3,3] [2,1,8,6,7,3,4,5]=>1010100=>[1,2,2,3] [2,1,7,6,8,3,4,5]=>1010100=>[1,2,2,3] [3,7,1,6,8,2,4,5]=>0100100=>[2,3,3] [4,7,6,1,8,2,3,5]=>0110100=>[2,1,2,3] [5,7,6,8,1,2,3,4]=>0101000=>[2,2,4] [5,4,7,1,2,8,3,6]=>1010010=>[1,2,3,2] [6,4,7,1,8,2,3,5]=>1010100=>[1,2,2,3] [7,4,6,1,8,2,3,5]=>1010100=>[1,2,2,3] [8,4,6,1,7,2,3,5]=>1010100=>[1,2,2,3] [8,3,1,6,7,2,4,5]=>1100100=>[1,1,3,3] [7,3,1,6,8,2,4,5]=>1100100=>[1,1,3,3] [6,3,1,7,8,2,4,5]=>1100100=>[1,1,3,3] [5,3,1,7,2,8,4,6]=>1101010=>[1,1,2,2,2] [4,3,1,2,7,8,5,6]=>1100010=>[1,1,4,2] [2,1,4,3,8,7,5,6]=>1010110=>[1,2,2,1,2] [3,4,1,2,8,7,5,6]=>0100110=>[2,3,1,2] [6,3,1,8,7,2,4,5]=>1101100=>[1,1,2,1,3] [7,3,1,8,6,2,4,5]=>1101100=>[1,1,2,1,3] [8,4,7,1,6,2,3,5]=>1010100=>[1,2,2,3] [7,4,8,1,6,2,3,5]=>1010100=>[1,2,2,3] [5,4,8,1,2,7,3,6]=>1010010=>[1,2,3,2] [4,5,8,1,2,7,3,6]=>0010010=>[3,3,2] [3,5,1,8,2,7,4,6]=>0101010=>[2,2,2,2] [2,1,5,8,3,7,4,6]=>1001010=>[1,3,2,2] [2,1,6,8,7,3,4,5]=>1001100=>[1,3,1,3] [3,6,1,8,7,2,4,5]=>0101100=>[2,2,1,3] [4,6,8,1,7,2,3,5]=>0010100=>[3,2,3] [5,6,8,7,1,2,3,4]=>0011000=>[3,1,4] [7,5,8,6,1,2,3,4]=>1011000=>[1,2,1,4] [8,5,7,6,1,2,3,4]=>1011000=>[1,2,1,4] [5,7,8,6,1,2,3,4]=>0011000=>[3,1,4] [4,7,8,1,6,2,3,5]=>0010100=>[3,2,3] [3,7,1,8,6,2,4,5]=>0101100=>[2,2,1,3] [2,1,7,8,6,3,4,5]=>1001100=>[1,3,1,3] [2,1,8,7,6,3,4,5]=>1011100=>[1,2,1,1,3] [3,8,1,7,6,2,4,5]=>0101100=>[2,2,1,3] [4,8,7,1,6,2,3,5]=>0110100=>[2,1,2,3] [5,8,7,6,1,2,3,4]=>0111000=>[2,1,1,4] [6,8,7,5,1,2,3,4]=>0111000=>[2,1,1,4] [6,4,7,3,8,5,1,2]=>1010110=>[1,2,2,1,2] [6,4,7,3,5,8,1,2]=>1010010=>[1,2,3,2] [6,4,7,2,5,1,8,3]=>1010101=>[1,2,2,2,1] [5,4,2,7,6,1,3,8]=>1101100=>[1,1,2,1,3] [5,4,2,7,6,1,8,3]=>1101101=>[1,1,2,1,2,1] [5,4,3,7,6,8,1,2]=>1101010=>[1,1,2,2,2] [5,4,3,7,8,6,1,2]=>1100110=>[1,1,3,1,2] [6,4,8,3,5,7,1,2]=>1010010=>[1,2,3,2] [5,4,3,8,6,7,1,2]=>1101010=>[1,1,2,2,2] [5,4,3,6,8,7,1,2]=>1100110=>[1,1,3,1,2] [5,4,2,6,7,1,8,3]=>1100101=>[1,1,3,2,1] [5,4,2,6,7,1,3,8]=>1100100=>[1,1,3,3] [5,3,2,6,1,7,4,8]=>1101010=>[1,1,2,2,2] [5,3,2,6,1,7,8,4]=>1101001=>[1,1,2,3,1] [5,3,2,6,1,8,7,4]=>1101011=>[1,1,2,2,1,1] [5,4,2,6,8,1,7,3]=>1100101=>[1,1,3,2,1] [5,4,2,8,6,1,7,3]=>1101101=>[1,1,2,1,2,1] [6,4,8,2,5,1,7,3]=>1010101=>[1,2,2,2,1] [7,8,4,2,5,1,6,3]=>0110101=>[2,1,2,2,1] [7,8,4,2,5,1,3,6]=>0110100=>[2,1,2,3] [5,4,2,8,6,1,3,7]=>1101100=>[1,1,2,1,3] [5,3,2,6,1,8,4,7]=>1101010=>[1,1,2,2,2] [4,3,2,1,6,8,5,7]=>1110010=>[1,1,1,3,2] [4,3,2,1,8,6,5,7]=>1110110=>[1,1,1,2,1,2] [5,3,2,8,1,6,4,7]=>1101010=>[1,1,2,2,2] [6,3,8,2,1,5,4,7]=>1011010=>[1,2,1,2,2] [7,8,3,2,1,5,4,6]=>0111010=>[2,1,1,2,2] [7,8,3,2,1,5,6,4]=>0111001=>[2,1,1,3,1] [6,3,8,2,1,5,7,4]=>1011001=>[1,2,1,3,1] [5,3,2,8,1,6,7,4]=>1101001=>[1,1,2,3,1] [5,4,2,7,8,1,6,3]=>1100101=>[1,1,3,2,1] [5,3,2,7,1,8,6,4]=>1101011=>[1,1,2,2,1,1] [5,3,2,7,1,6,8,4]=>1101001=>[1,1,2,3,1] [5,3,2,7,1,6,4,8]=>1101010=>[1,1,2,2,2] [6,3,7,2,1,5,4,8]=>1011010=>[1,2,1,2,2] [6,3,7,2,1,5,8,4]=>1011001=>[1,2,1,3,1] [6,3,7,2,1,8,5,4]=>1011011=>[1,2,1,2,1,1] [6,4,7,2,8,1,5,3]=>1010101=>[1,2,2,2,1] [6,5,7,8,2,1,4,3]=>1001101=>[1,3,1,2,1] [6,5,8,7,2,1,3,4]=>1011100=>[1,2,1,1,3] [6,3,7,2,1,8,4,5]=>1011010=>[1,2,1,2,2] [6,3,7,2,1,4,8,5]=>1011001=>[1,2,1,3,1] [6,3,7,2,1,4,5,8]=>1011000=>[1,2,1,4] [5,3,2,7,1,4,8,6]=>1101001=>[1,1,2,3,1] [5,4,2,8,7,1,3,6]=>1101100=>[1,1,2,1,3] [7,8,4,2,6,1,3,5]=>0110100=>[2,1,2,3] [7,8,3,2,1,6,4,5]=>0111010=>[2,1,1,2,2] [6,3,8,2,1,7,4,5]=>1011010=>[1,2,1,2,2] [5,3,2,8,1,7,4,6]=>1101010=>[1,1,2,2,2] [4,3,2,1,8,7,5,6]=>1110110=>[1,1,1,2,1,2] [4,3,2,1,7,5,8,6]=>1110101=>[1,1,1,2,2,1] [4,3,2,1,7,5,6,8]=>1110100=>[1,1,1,2,3] [4,3,2,1,8,5,7,6]=>1110101=>[1,1,1,2,2,1] [5,3,2,8,1,4,7,6]=>1101001=>[1,1,2,3,1] [6,3,8,2,1,4,7,5]=>1011001=>[1,2,1,3,1] [7,8,3,2,1,4,6,5]=>0111001=>[2,1,1,3,1] [6,3,8,2,1,4,5,7]=>1011000=>[1,2,1,4] [4,3,2,1,8,5,6,7]=>1110100=>[1,1,1,2,3] [4,3,2,1,5,8,6,7]=>1110010=>[1,1,1,3,2] [7,8,5,6,1,2,4,3]=>0101001=>[2,2,3,1] [7,8,4,1,6,2,5,3]=>0110101=>[2,1,2,2,1] [7,8,1,4,6,2,5,3]=>0100101=>[2,3,2,1] [6,1,8,4,7,2,5,3]=>1010101=>[1,2,2,2,1] [1,6,8,4,7,2,5,3]=>0010101=>[3,2,2,1] [1,6,8,3,2,7,5,4]=>0011011=>[3,1,2,1,1] [6,1,8,3,2,7,5,4]=>1011011=>[1,2,1,2,1,1] [7,8,1,3,2,6,5,4]=>0101011=>[2,2,2,1,1] [7,8,3,1,2,6,5,4]=>0110011=>[2,1,3,1,1] [7,8,3,4,6,5,1,2]=>0100110=>[2,3,1,2] [7,8,2,4,6,1,5,3]=>0100101=>[2,3,2,1] [7,8,2,3,1,6,5,4]=>0101011=>[2,2,2,1,1] [7,8,2,1,3,6,5,4]=>0110011=>[2,1,3,1,1] [7,8,1,2,3,6,5,4]=>0100011=>[2,4,1,1] [6,1,8,2,3,7,5,4]=>1010011=>[1,2,3,1,1] [1,6,8,2,3,7,5,4]=>0010011=>[3,3,1,1] [1,5,2,8,3,7,6,4]=>0101011=>[2,2,2,1,1] [5,1,2,8,3,7,6,4]=>1001011=>[1,3,2,1,1] [5,2,1,8,3,7,6,4]=>1101011=>[1,1,2,2,1,1] [6,2,8,1,3,7,5,4]=>1010011=>[1,2,3,1,1] [6,2,8,3,1,7,5,4]=>1011011=>[1,2,1,2,1,1] [6,2,8,4,7,1,5,3]=>1010101=>[1,2,2,2,1] [6,3,8,4,7,5,1,2]=>1010110=>[1,2,2,1,2] [3,6,8,4,7,5,1,2]=>0010110=>[3,2,1,2] [2,6,8,4,7,1,5,3]=>0010101=>[3,2,2,1] [2,6,8,3,1,7,5,4]=>0011011=>[3,1,2,1,1] [2,6,8,1,3,7,5,4]=>0010011=>[3,3,1,1] [2,5,1,8,3,7,6,4]=>0101011=>[2,2,2,1,1] [1,2,5,8,3,7,6,4]=>0001011=>[4,2,1,1] [2,4,1,3,8,7,6,5]=>0100111=>[2,3,1,1,1] [2,5,3,8,1,7,6,4]=>0101011=>[2,2,2,1,1] [2,5,4,8,7,1,6,3]=>0101101=>[2,2,1,2,1] [3,5,4,8,7,6,1,2]=>0101110=>[2,2,1,1,2] [5,3,4,8,7,6,1,2]=>1001110=>[1,3,1,1,2] [5,2,4,8,7,1,6,3]=>1001101=>[1,3,1,2,1] [5,2,3,8,1,7,6,4]=>1001011=>[1,3,2,1,1] [4,2,1,3,8,7,6,5]=>1100111=>[1,1,3,1,1,1] [4,1,2,3,8,7,6,5]=>1000111=>[1,4,1,1,1] [1,4,2,3,8,7,6,5]=>0100111=>[2,3,1,1,1] [4,1,3,2,8,7,6,5]=>1010111=>[1,2,2,1,1,1] [4,3,1,2,8,7,6,5]=>1100111=>[1,1,3,1,1,1] [6,3,8,1,2,7,5,4]=>1010011=>[1,2,3,1,1] [5,3,1,8,2,7,6,4]=>1101011=>[1,1,2,2,1,1] [5,1,3,8,2,7,6,4]=>1001011=>[1,3,2,1,1] [1,5,3,8,2,7,6,4]=>0101011=>[2,2,2,1,1] [1,5,4,8,7,2,6,3]=>0101101=>[2,2,1,2,1] [5,1,4,8,7,2,6,3]=>1001101=>[1,3,1,2,1] [5,4,1,8,7,2,6,3]=>1101101=>[1,1,2,1,2,1] [6,4,8,1,7,2,5,3]=>1010101=>[1,2,2,2,1] [6,5,8,7,1,2,4,3]=>1011001=>[1,2,1,3,1] [5,6,8,7,3,4,1,2]=>0011010=>[3,1,2,2] [5,6,8,7,2,1,4,3]=>0011101=>[3,1,1,2,1] [4,5,1,8,7,2,6,3]=>0101101=>[2,2,1,2,1] [4,1,5,8,7,2,6,3]=>1001101=>[1,3,1,2,1] [1,4,5,8,7,2,6,3]=>0001101=>[4,1,2,1] [1,3,5,8,2,7,6,4]=>0001011=>[4,2,1,1] [3,1,5,8,2,7,6,4]=>1001011=>[1,3,2,1,1] [3,6,8,1,2,7,5,4]=>0010011=>[3,3,1,1] [3,6,8,2,1,7,5,4]=>0011011=>[3,1,2,1,1] [4,6,8,2,7,1,5,3]=>0010101=>[3,2,2,1] [4,6,8,3,7,5,1,2]=>0010110=>[3,2,1,2] [4,5,3,8,7,6,1,2]=>0101110=>[2,2,1,1,2] [4,5,2,8,7,1,6,3]=>0101101=>[2,2,1,2,1] [3,5,2,8,1,7,6,4]=>0101011=>[2,2,2,1,1] [3,1,4,2,8,7,6,5]=>1010111=>[1,2,2,1,1,1] [3,1,2,4,8,7,6,5]=>1000111=>[1,4,1,1,1] [3,2,5,8,1,7,6,4]=>1001011=>[1,3,2,1,1] [4,2,5,8,7,1,6,3]=>1001101=>[1,3,1,2,1] [4,3,5,8,7,6,1,2]=>1001110=>[1,3,1,1,2] [3,4,5,8,7,6,1,2]=>0001110=>[4,1,1,2] [2,4,5,8,7,1,6,3]=>0001101=>[4,1,2,1] [2,3,5,8,1,7,6,4]=>0001011=>[4,2,1,1] [4,1,3,2,6,5,8,7]=>1010101=>[1,2,2,2,1] [5,1,3,2,6,4,8,7]=>1010101=>[1,2,2,2,1] [6,1,3,2,5,4,8,7]=>1010101=>[1,2,2,2,1] [7,1,3,2,5,4,8,6]=>1010101=>[1,2,2,2,1] [8,1,3,2,5,4,7,6]=>1010101=>[1,2,2,2,1] [8,1,4,2,5,3,7,6]=>1010101=>[1,2,2,2,1] [7,1,4,2,5,3,8,6]=>1010101=>[1,2,2,2,1] [6,1,4,2,5,3,8,7]=>1010101=>[1,2,2,2,1] [5,1,4,2,6,3,8,7]=>1010101=>[1,2,2,2,1] [2,1,6,3,5,4,8,7]=>1010101=>[1,2,2,2,1] [3,1,6,2,5,4,8,7]=>1010101=>[1,2,2,2,1] [4,1,6,2,5,3,8,7]=>1010101=>[1,2,2,2,1] [6,2,5,1,4,3,8,7]=>1010101=>[1,2,2,2,1] [5,2,6,1,4,3,8,7]=>1010101=>[1,2,2,2,1] [5,2,7,1,4,3,8,6]=>1010101=>[1,2,2,2,1] [5,2,8,1,4,3,7,6]=>1010101=>[1,2,2,2,1] [6,2,8,1,4,3,7,5]=>1010101=>[1,2,2,2,1] [6,2,7,1,4,3,8,5]=>1010101=>[1,2,2,2,1] [7,2,6,1,4,3,8,5]=>1010101=>[1,2,2,2,1] [7,2,5,1,4,3,8,6]=>1010101=>[1,2,2,2,1] [4,1,7,2,5,3,8,6]=>1010101=>[1,2,2,2,1] [3,1,7,2,5,4,8,6]=>1010101=>[1,2,2,2,1] [2,1,7,3,5,4,8,6]=>1010101=>[1,2,2,2,1] [2,1,8,3,5,4,7,6]=>1010101=>[1,2,2,2,1] [3,1,8,2,5,4,7,6]=>1010101=>[1,2,2,2,1] [4,1,8,2,5,3,7,6]=>1010101=>[1,2,2,2,1] [8,2,5,1,4,3,7,6]=>1010101=>[1,2,2,2,1] [8,2,6,1,4,3,7,5]=>1010101=>[1,2,2,2,1] [7,1,4,3,8,2,6,5]=>1010101=>[1,2,2,2,1] [8,1,4,3,7,2,6,5]=>1010101=>[1,2,2,2,1] [8,1,5,3,7,2,6,4]=>1010101=>[1,2,2,2,1] [7,1,5,3,8,2,6,4]=>1010101=>[1,2,2,2,1] [8,2,6,1,5,3,7,4]=>1010101=>[1,2,2,2,1] [5,1,8,2,6,3,7,4]=>1010101=>[1,2,2,2,1] [4,1,8,2,6,3,7,5]=>1010101=>[1,2,2,2,1] [3,1,8,2,6,4,7,5]=>1010101=>[1,2,2,2,1] [2,1,8,3,6,4,7,5]=>1010101=>[1,2,2,2,1] [2,1,7,3,6,4,8,5]=>1010101=>[1,2,2,2,1] [4,1,7,2,6,3,8,5]=>1010101=>[1,2,2,2,1] [5,1,7,2,6,3,8,4]=>1010101=>[1,2,2,2,1] [7,2,6,1,5,3,8,4]=>1010101=>[1,2,2,2,1] [6,2,7,1,5,3,8,4]=>1010101=>[1,2,2,2,1] [6,2,8,1,5,3,7,4]=>1010101=>[1,2,2,2,1] [8,1,5,2,6,3,7,4]=>1010101=>[1,2,2,2,1] [6,1,5,2,7,3,8,4]=>1010101=>[1,2,2,2,1] [6,1,4,2,7,3,8,5]=>1010101=>[1,2,2,2,1] [8,1,4,2,6,3,7,5]=>1010101=>[1,2,2,2,1] [8,1,3,2,6,4,7,5]=>1010101=>[1,2,2,2,1] [7,1,3,2,6,4,8,5]=>1010101=>[1,2,2,2,1] [6,1,3,2,7,4,8,5]=>1010101=>[1,2,2,2,1] [5,1,3,2,7,4,8,6]=>1010101=>[1,2,2,2,1] [4,1,3,2,7,5,8,6]=>1010101=>[1,2,2,2,1] [2,1,4,3,8,5,7,6]=>1010101=>[1,2,2,2,1] [3,1,4,2,8,5,7,6]=>1010101=>[1,2,2,2,1] [4,1,3,2,8,5,7,6]=>1010101=>[1,2,2,2,1] [5,1,3,2,8,4,7,6]=>1010101=>[1,2,2,2,1] [6,1,3,2,8,4,7,5]=>1010101=>[1,2,2,2,1] [8,4,7,1,3,2,6,5]=>1010101=>[1,2,2,2,1] [7,4,8,1,3,2,6,5]=>1010101=>[1,2,2,2,1] [7,3,8,1,4,2,6,5]=>1010101=>[1,2,2,2,1] [8,3,7,1,4,2,6,5]=>1010101=>[1,2,2,2,1] [6,1,4,2,8,3,7,5]=>1010101=>[1,2,2,2,1] [5,1,4,2,8,3,7,6]=>1010101=>[1,2,2,2,1] [4,1,5,2,8,3,7,6]=>1010101=>[1,2,2,2,1] [3,1,5,2,8,4,7,6]=>1010101=>[1,2,2,2,1] [2,1,5,3,8,4,7,6]=>1010101=>[1,2,2,2,1] [2,1,6,3,8,4,7,5]=>1010101=>[1,2,2,2,1] [3,1,6,2,8,4,7,5]=>1010101=>[1,2,2,2,1] [4,1,6,2,8,3,7,5]=>1010101=>[1,2,2,2,1] [5,1,6,2,8,3,7,4]=>1010101=>[1,2,2,2,1] [6,1,5,2,8,3,7,4]=>1010101=>[1,2,2,2,1] [8,3,7,1,5,2,6,4]=>1010101=>[1,2,2,2,1] [7,3,8,1,5,2,6,4]=>1010101=>[1,2,2,2,1] [6,2,7,3,8,1,5,4]=>1010101=>[1,2,2,2,1] [6,2,8,3,7,1,5,4]=>1010101=>[1,2,2,2,1] [8,3,7,2,6,1,5,4]=>1010101=>[1,2,2,2,1] [5,1,8,3,7,2,6,4]=>1010101=>[1,2,2,2,1] [4,1,8,3,7,2,6,5]=>1010101=>[1,2,2,2,1] [3,1,8,4,7,2,6,5]=>1010101=>[1,2,2,2,1] [2,1,8,4,7,3,6,5]=>1010101=>[1,2,2,2,1] [2,1,7,4,8,3,6,5]=>1010101=>[1,2,2,2,1] [3,1,7,4,8,2,6,5]=>1010101=>[1,2,2,2,1] [4,1,7,3,8,2,6,5]=>1010101=>[1,2,2,2,1] [5,1,7,3,8,2,6,4]=>1010101=>[1,2,2,2,1] [7,3,8,2,6,1,5,4]=>1010101=>[1,2,2,2,1] [8,2,6,3,7,1,5,4]=>1010101=>[1,2,2,2,1] [7,2,6,3,8,1,5,4]=>1010101=>[1,2,2,2,1] [3,4,2,6,8,1,5,7]=>0100100=>[2,3,3] [5,3,6,2,8,1,4,7]=>1010100=>[1,2,2,3] [5,3,6,2,4,8,1,7]=>1010010=>[1,2,3,2] [5,7,3,8,2,4,1,6]=>0101010=>[2,2,2,2] [5,7,3,8,2,4,6,1]=>0101001=>[2,2,3,1] [7,4,2,5,8,3,6,1]=>1100101=>[1,1,3,2,1] [7,4,2,5,8,3,1,6]=>1100110=>[1,1,3,1,2] [4,5,2,6,3,8,1,7]=>0101010=>[2,2,2,2] [4,5,2,1,6,8,3,7]=>0110010=>[2,1,3,2] [5,3,1,6,8,2,4,7]=>1100100=>[1,1,3,3] [5,6,2,8,1,3,4,7]=>0101000=>[2,2,4] [3,5,6,1,4,8,2,7]=>0010010=>[3,3,2] [4,1,5,6,3,8,2,7]=>1001010=>[1,3,2,2] [4,5,1,6,3,8,2,7]=>0101010=>[2,2,2,2] [4,5,6,3,2,8,1,7]=>0011010=>[3,1,2,2] [7,4,5,3,8,2,1,6]=>1010110=>[1,2,2,1,2] [7,4,5,3,8,2,6,1]=>1010101=>[1,2,2,2,1] [6,7,4,8,3,2,5,1]=>0101101=>[2,2,1,2,1] [6,7,4,8,3,2,1,5]=>0101110=>[2,2,1,1,2] [6,7,4,1,8,3,2,5]=>0110110=>[2,1,2,1,2] [7,4,5,3,1,8,2,6]=>1011010=>[1,2,1,2,2] [4,7,1,5,8,3,2,6]=>0100110=>[2,3,1,2] [5,3,7,8,1,4,2,6]=>1001010=>[1,3,2,2] [7,5,8,2,4,6,1,3]=>1010010=>[1,2,3,2] [7,3,5,8,1,4,6,2]=>1001001=>[1,3,3,1] [4,5,1,7,8,3,6,2]=>0100101=>[2,3,2,1] [7,4,1,5,8,3,6,2]=>1100101=>[1,1,3,2,1] [6,7,4,3,8,1,5,2]=>0110101=>[2,1,2,2,1] [6,7,4,8,3,1,5,2]=>0101101=>[2,2,1,2,1] [6,7,4,8,3,5,2,1]=>0101011=>[2,2,2,1,1] [5,6,7,3,8,4,2,1]=>0010111=>[3,2,1,1,1] [5,6,7,3,1,8,4,2]=>0011011=>[3,1,2,1,1] [5,6,1,7,3,8,4,2]=>0101011=>[2,2,2,1,1] [5,1,6,7,3,8,4,2]=>1001011=>[1,3,2,1,1] [6,4,7,1,8,3,5,2]=>1010101=>[1,2,2,2,1] [6,7,8,3,1,4,5,2]=>0011001=>[3,1,3,1] [6,7,2,8,4,5,1,3]=>0101010=>[2,2,2,2] [6,7,2,8,4,1,3,5]=>0101100=>[2,2,1,3] [6,1,7,4,8,3,2,5]=>1010110=>[1,2,2,1,2] [5,1,6,7,3,2,8,4]=>1001101=>[1,3,1,2,1] [5,6,1,7,3,2,8,4]=>0101101=>[2,2,1,2,1] [5,6,7,3,2,1,8,4]=>0011101=>[3,1,1,2,1] [5,6,7,3,2,8,4,1]=>0011011=>[3,1,2,1,1] [5,6,2,7,3,8,4,1]=>0101011=>[2,2,2,1,1] [5,6,2,7,3,1,8,4]=>0101101=>[2,2,1,2,1] [5,6,2,1,7,3,8,4]=>0110101=>[2,1,2,2,1] [6,1,7,4,2,8,3,5]=>1011010=>[1,2,1,2,2] [6,7,2,1,8,3,4,5]=>0110100=>[2,1,2,3] [7,5,8,2,1,3,4,6]=>1011000=>[1,2,1,4] [5,7,3,1,8,2,4,6]=>0110100=>[2,1,2,3] [4,7,1,5,2,8,3,6]=>0101010=>[2,2,2,2] [7,4,2,5,1,8,3,6]=>1101010=>[1,1,2,2,2] [6,7,4,2,1,8,3,5]=>0111010=>[2,1,1,2,2] [6,7,4,2,8,3,1,5]=>0110110=>[2,1,2,1,2] [6,7,4,2,8,3,5,1]=>0110101=>[2,1,2,2,1] [3,6,7,2,8,4,5,1]=>0010101=>[3,2,2,1] [3,6,7,2,8,4,1,5]=>0010110=>[3,2,1,2] [3,6,7,2,1,8,4,5]=>0011010=>[3,1,2,2] [5,7,3,8,2,1,4,6]=>0101100=>[2,2,1,3] [3,4,7,8,2,1,5,6]=>0001100=>[4,1,3] [3,7,8,1,4,6,2,5]=>0010010=>[3,3,2] [3,4,7,8,2,6,1,5]=>0001010=>[4,2,2] [5,7,3,8,2,6,1,4]=>0101010=>[2,2,2,2] [3,6,7,2,8,5,1,4]=>0010110=>[3,2,1,2] [3,6,7,8,5,2,1,4]=>0001110=>[4,1,1,2] [3,6,7,8,5,2,4,1]=>0001101=>[4,1,2,1] [6,4,7,8,2,5,3,1]=>1001011=>[1,3,2,1,1] [6,4,7,8,2,1,5,3]=>1001101=>[1,3,1,2,1] [4,1,5,7,8,2,6,3]=>1000101=>[1,4,2,1] [5,3,7,8,1,6,2,4]=>1001010=>[1,3,2,2] [6,7,2,8,5,1,3,4]=>0101100=>[2,2,1,3] [6,4,1,7,8,2,5,3]=>1100101=>[1,1,3,2,1] [5,1,6,2,7,8,4,3]=>1010011=>[1,2,3,1,1] [5,6,2,1,7,8,4,3]=>0110011=>[2,1,3,1,1] [5,6,2,7,1,8,4,3]=>0101011=>[2,2,2,1,1] [5,6,2,7,8,4,3,1]=>0100111=>[2,3,1,1,1] [5,6,7,2,8,4,3,1]=>0010111=>[3,2,1,1,1] [5,6,7,2,1,8,4,3]=>0011011=>[3,1,2,1,1] [5,6,1,7,2,8,4,3]=>0101011=>[2,2,2,1,1] [5,1,6,7,2,8,4,3]=>1001011=>[1,3,2,1,1] [6,4,7,1,8,2,5,3]=>1010101=>[1,2,2,2,1] [3,6,7,1,8,5,2,4]=>0010110=>[3,2,1,2] [6,7,8,5,2,4,1,3]=>0011010=>[3,1,2,2] [6,7,8,3,5,1,4,2]=>0010101=>[3,2,2,1] [4,6,7,8,1,5,3,2]=>0001011=>[4,2,1,1] [5,1,6,7,8,4,3,2]=>1000111=>[1,4,1,1,1] [5,6,1,7,8,4,3,2]=>0100111=>[2,3,1,1,1] [5,6,7,1,8,4,3,2]=>0010111=>[3,2,1,1,1] [8,6,1,3,4,2,5,7]=>1100100=>[1,1,3,3] [8,3,2,5,1,6,4,7]=>1101010=>[1,1,2,2,2] [8,5,3,6,2,4,1,7]=>1101010=>[1,1,2,2,2] [5,3,2,7,4,1,8,6]=>1101101=>[1,1,2,1,2,1] [7,5,3,8,2,4,6,1]=>1101001=>[1,1,2,3,1] [7,2,4,5,8,3,6,1]=>1000101=>[1,4,2,1] [2,4,5,3,7,1,8,6]=>0010101=>[3,2,2,1] [8,2,4,5,6,3,1,7]=>1000110=>[1,4,1,2] [8,2,4,5,6,1,3,7]=>1000100=>[1,4,3] [8,1,2,4,5,6,3,7]=>1000010=>[1,5,2] [8,2,5,1,3,6,4,7]=>1010010=>[1,2,3,2] [8,5,6,2,1,4,3,7]=>1011010=>[1,2,1,2,2] [8,5,3,6,4,1,2,7]=>1101100=>[1,1,2,1,3] [8,4,1,5,6,3,2,7]=>1100110=>[1,1,3,1,2] [8,1,4,5,6,3,2,7]=>1000110=>[1,4,1,2] [4,5,3,7,2,1,8,6]=>0101101=>[2,2,1,2,1] [7,4,5,8,3,2,6,1]=>1001101=>[1,3,1,2,1] [4,3,6,7,2,8,5,1]=>1001011=>[1,3,2,1,1] [4,3,6,7,2,8,1,5]=>1001010=>[1,3,2,2] [1,4,3,6,7,2,8,5]=>0100101=>[2,3,2,1] [4,5,3,7,1,8,2,6]=>0101010=>[2,2,2,2] [4,1,5,3,7,2,8,6]=>1010101=>[1,2,2,2,1] [5,3,4,7,1,2,8,6]=>1001001=>[1,3,3,1] [7,5,8,2,1,4,6,3]=>1011001=>[1,2,1,3,1] [7,5,3,8,4,1,6,2]=>1101101=>[1,1,2,1,2,1] [7,4,5,8,3,6,1,2]=>1001010=>[1,3,2,2] [4,3,6,7,8,1,5,2]=>1000101=>[1,4,2,1] [1,6,4,7,8,3,5,2]=>0100101=>[2,3,2,1] [6,4,7,8,3,5,2,1]=>1001011=>[1,3,2,1,1] [3,5,6,7,8,4,1,2]=>0000110=>[5,1,2] [3,1,5,6,7,8,4,2]=>1000011=>[1,5,1,1] [4,6,1,7,8,3,5,2]=>0100101=>[2,3,2,1] [3,6,7,1,4,8,5,2]=>0010011=>[3,3,1,1] [6,2,4,1,7,8,5,3]=>1010011=>[1,2,3,1,1] [2,6,7,1,4,8,3,5]=>0010010=>[3,3,2] [4,3,6,7,8,1,2,5]=>1000100=>[1,4,3] [1,5,3,6,7,8,2,4]=>0100010=>[2,4,2] [3,5,6,7,8,2,1,4]=>0000110=>[5,1,2] [3,5,6,7,8,2,4,1]=>0000101=>[5,2,1] [5,2,7,1,3,8,4,6]=>1010010=>[1,2,3,2] [5,3,1,7,8,2,4,6]=>1100100=>[1,1,3,3] [4,5,2,7,8,1,3,6]=>0100100=>[2,3,3] [4,2,6,7,8,3,1,5]=>1000110=>[1,4,1,2] [4,2,6,7,8,3,5,1]=>1000101=>[1,4,2,1] [3,6,2,7,4,8,5,1]=>0101011=>[2,2,2,1,1] [3,6,2,7,4,8,1,5]=>0101010=>[2,2,2,2] [3,2,1,6,4,7,8,5]=>1101001=>[1,1,2,3,1] [3,7,4,2,1,5,8,6]=>0111001=>[2,1,1,3,1] [1,7,3,4,2,5,8,6]=>0101001=>[2,2,3,1] [4,7,2,1,3,5,8,6]=>0110001=>[2,1,4,1] [7,8,4,2,1,3,6,5]=>0111001=>[2,1,1,3,1] [7,8,1,3,4,2,6,5]=>0100101=>[2,3,2,1] [7,8,3,4,2,1,6,5]=>0101101=>[2,2,1,2,1] [6,3,2,7,1,8,5,4]=>1101011=>[1,1,2,2,1,1] [3,6,2,7,1,8,5,4]=>0101011=>[2,2,2,1,1] [6,7,3,8,2,5,4,1]=>0101011=>[2,2,2,1,1] [6,4,7,8,5,2,3,1]=>1001101=>[1,3,1,2,1] [2,6,4,7,8,1,5,3]=>0100101=>[2,3,2,1] [4,6,2,7,8,1,5,3]=>0100101=>[2,3,2,1] [7,4,5,8,6,2,1,3]=>1001110=>[1,3,1,1,2] [7,4,1,5,8,6,2,3]=>1100110=>[1,1,3,1,2] [7,5,3,8,6,1,2,4]=>1101100=>[1,1,2,1,3] [7,5,8,2,1,6,3,4]=>1011010=>[1,2,1,2,2] [6,2,7,1,3,8,5,4]=>1010011=>[1,2,3,1,1] [6,3,1,7,8,2,5,4]=>1100101=>[1,1,3,2,1] [4,6,1,7,8,5,2,3]=>0100110=>[2,3,1,2] [5,1,2,6,7,8,4,3]=>1000011=>[1,5,1,1] [5,2,6,7,8,4,1,3]=>1000110=>[1,4,1,2] [5,2,6,7,8,4,3,1]=>1000111=>[1,4,1,1,1] [2,5,6,7,8,4,1,3]=>0000110=>[5,1,2] [1,5,2,6,7,8,4,3]=>0100011=>[2,4,1,1] [1,6,4,7,8,5,2,3]=>0100110=>[2,3,1,2] [2,6,7,1,3,8,5,4]=>0010011=>[3,3,1,1] [6,7,8,2,1,5,4,3]=>0011011=>[3,1,2,1,1] [6,7,3,8,5,1,4,2]=>0101101=>[2,2,1,2,1] [6,4,7,8,5,3,1,2]=>1001110=>[1,3,1,1,2] [4,5,2,3,7,6,1,8]=>0100110=>[2,3,1,2] [6,4,3,7,2,5,1,8]=>1101010=>[1,1,2,2,2] [8,4,3,6,5,1,2,7]=>1101100=>[1,1,2,1,3] [1,5,6,3,4,8,7,2]=>0010011=>[3,3,1,1] [4,6,2,7,3,5,1,8]=>0101010=>[2,2,2,2] [3,2,6,7,4,5,1,8]=>1001010=>[1,3,2,2] [4,7,2,6,5,3,1,8]=>0101110=>[2,2,1,1,2] [5,7,6,2,4,3,1,8]=>0110110=>[2,1,2,1,2] [1,7,5,4,8,3,6,2]=>0110101=>[2,1,2,2,1] [8,7,5,4,1,3,2,6]=>1111010=>[1,1,1,1,2,2] [6,8,5,4,2,1,3,7]=>0111100=>[2,1,1,1,3] [5,8,6,2,4,1,3,7]=>0110100=>[2,1,2,3] [4,8,2,6,5,1,3,7]=>0101100=>[2,2,1,3] [3,2,8,6,5,1,4,7]=>1011100=>[1,2,1,1,3] [4,1,2,6,5,8,7,3]=>1001011=>[1,3,2,1,1] [5,1,6,2,4,8,7,3]=>1010011=>[1,2,3,1,1] [6,1,5,4,2,8,7,3]=>1011011=>[1,2,1,2,1,1] [7,1,5,4,8,2,6,3]=>1010101=>[1,2,2,2,1] [8,1,5,4,7,6,2,3]=>1010110=>[1,2,2,1,2] [1,8,6,7,4,5,3,2]=>0101011=>[2,2,2,1,1] [8,1,6,7,4,5,2,3]=>1001010=>[1,3,2,2] [7,1,6,8,4,2,5,3]=>1001101=>[1,3,1,2,1] [6,1,7,8,2,4,5,3]=>1001001=>[1,3,3,1] [5,1,7,2,8,4,6,3]=>1010101=>[1,2,2,2,1] [4,1,2,7,8,5,6,3]=>1000101=>[1,4,2,1] [3,2,1,7,8,5,6,4]=>1100101=>[1,1,3,2,1] [3,2,8,7,1,5,4,6]=>1011010=>[1,2,1,2,2] [4,8,2,7,1,5,3,6]=>0101010=>[2,2,2,2] [5,8,7,2,1,4,3,6]=>0111010=>[2,1,1,2,2] [6,8,7,1,2,4,3,5]=>0110010=>[2,1,3,2] [7,8,6,1,4,2,3,5]=>0110100=>[2,1,2,3] [8,7,6,1,4,3,2,5]=>1110110=>[1,1,1,2,1,2] [1,7,6,8,4,3,5,2]=>0101101=>[2,2,1,2,1] [1,6,7,8,3,4,5,2]=>0001001=>[4,3,1] [8,6,7,1,3,4,2,5]=>1010010=>[1,2,3,2] [7,6,8,1,3,2,4,5]=>1010100=>[1,2,2,3] [5,7,8,2,1,3,4,6]=>0011000=>[3,1,4] [4,7,2,8,1,3,5,6]=>0101000=>[2,2,4] [3,2,6,8,4,1,5,7]=>1001100=>[1,3,1,3] [4,6,2,8,3,1,5,7]=>0101100=>[2,2,1,3] [5,6,8,2,3,1,4,7]=>0010100=>[3,2,3] [6,5,8,3,2,1,4,7]=>1011100=>[1,2,1,1,3] [7,5,8,3,1,2,4,6]=>1011000=>[1,2,1,4] [8,5,7,3,1,4,2,6]=>1011010=>[1,2,1,2,2] [1,5,7,3,8,4,6,2]=>0010101=>[3,2,2,1] [1,4,3,7,8,5,6,2]=>0100101=>[2,3,2,1] [8,4,3,7,1,5,2,6]=>1101010=>[1,1,2,2,2] [6,4,3,8,2,1,5,7]=>1101100=>[1,1,2,1,3] [4,5,2,3,8,1,6,7]=>0100100=>[2,3,3] [3,2,5,4,8,1,6,7]=>1010100=>[1,2,2,3] [4,5,2,3,1,8,7,6]=>0101011=>[2,2,2,1,1] [6,4,3,1,2,8,7,5]=>1110011=>[1,1,1,3,1,1] [7,4,3,1,8,2,6,5]=>1110101=>[1,1,1,2,2,1] [8,4,3,1,7,6,2,5]=>1110110=>[1,1,1,2,1,2] [1,5,8,3,7,6,4,2]=>0010111=>[3,2,1,1,1] [8,5,1,3,7,6,2,4]=>1100110=>[1,1,3,1,2] [7,5,1,3,8,2,6,4]=>1100101=>[1,1,3,2,1] [6,5,1,3,2,8,7,4]=>1101011=>[1,1,2,2,1,1] [5,6,1,2,3,8,7,4]=>0100011=>[2,4,1,1] [4,6,2,1,3,8,7,5]=>0110011=>[2,1,3,1,1] [3,2,6,1,4,8,7,5]=>1010011=>[1,2,3,1,1] [3,2,7,1,8,4,6,5]=>1010101=>[1,2,2,2,1] [4,7,2,1,8,3,6,5]=>0110101=>[2,1,2,2,1] [5,7,1,2,8,3,6,4]=>0100101=>[2,3,2,1] [6,7,1,8,2,3,5,4]=>0101001=>[2,2,3,1] [7,6,1,8,3,2,5,4]=>1101101=>[1,1,2,1,2,1] [8,6,1,7,3,5,2,4]=>1101010=>[1,1,2,2,2] [1,6,8,7,3,5,4,2]=>0011011=>[3,1,2,1,1] [1,7,8,6,5,3,4,2]=>0011101=>[3,1,1,2,1] [8,7,1,6,5,3,2,4]=>1101110=>[1,1,2,1,1,2] [7,8,1,6,5,2,3,4]=>0101100=>[2,2,1,3] [6,8,1,7,2,5,3,4]=>0101010=>[2,2,2,2] [5,8,1,2,7,6,3,4]=>0100110=>[2,3,1,2] [4,8,2,1,7,6,3,5]=>0110110=>[2,1,2,1,2] [3,2,8,1,7,6,4,5]=>1010110=>[1,2,2,1,2] [4,1,2,8,7,6,5,3]=>1001111=>[1,3,1,1,1,1] [5,1,8,2,7,6,4,3]=>1010111=>[1,2,2,1,1,1] [6,1,8,7,2,5,4,3]=>1011011=>[1,2,1,2,1,1] [7,1,8,6,5,2,4,3]=>1011101=>[1,2,1,1,2,1] [8,1,7,6,5,4,2,3]=>1011110=>[1,2,1,1,1,2] [3,1,2,6,5,8,7,4]=>1001011=>[1,3,2,1,1] [3,1,6,2,4,8,7,5]=>1010011=>[1,2,3,1,1] [3,1,5,2,4,8,7,6]=>1010011=>[1,2,3,1,1] [4,5,1,2,3,8,7,6]=>0100011=>[2,4,1,1] [4,6,1,2,3,8,7,5]=>0100011=>[2,4,1,1] [1,6,5,3,4,8,7,2]=>0110011=>[2,1,3,1,1] [6,1,5,2,4,8,7,3]=>1010011=>[1,2,3,1,1] [6,5,1,2,3,8,7,4]=>1100011=>[1,1,4,1,1] [6,4,1,2,3,8,7,5]=>1100011=>[1,1,4,1,1] [5,4,1,2,3,8,7,6]=>1100011=>[1,1,4,1,1] [5,4,1,2,7,3,6,8]=>1100100=>[1,1,3,3] [6,4,1,7,2,3,5,8]=>1101000=>[1,1,2,4] [6,4,1,8,2,3,5,7]=>1101000=>[1,1,2,4] [7,4,1,2,8,3,6,5]=>1100101=>[1,1,3,2,1] [7,5,1,2,8,3,6,4]=>1100101=>[1,1,3,2,1] [7,1,5,2,8,4,6,3]=>1010101=>[1,2,2,2,1] [1,7,5,3,8,4,6,2]=>0110101=>[2,1,2,2,1] [1,8,5,3,7,4,6,2]=>0110101=>[2,1,2,2,1] [8,1,5,2,7,4,6,3]=>1010101=>[1,2,2,2,1] [8,5,1,2,7,3,6,4]=>1100101=>[1,1,3,2,1] [8,4,1,2,7,3,6,5]=>1100101=>[1,1,3,2,1] [8,4,1,7,2,3,5,6]=>1101000=>[1,1,2,4] [7,4,1,6,2,3,5,8]=>1101000=>[1,1,2,4] [8,6,1,7,2,3,5,4]=>1101001=>[1,1,2,3,1] [8,1,6,7,2,4,5,3]=>1001001=>[1,3,3,1] [1,8,6,7,3,4,5,2]=>0101001=>[2,2,3,1] [1,7,6,8,3,4,5,2]=>0101001=>[2,2,3,1] [7,1,6,8,2,4,5,3]=>1001001=>[1,3,3,1] [7,6,1,8,2,3,5,4]=>1101001=>[1,1,2,3,1] [4,7,1,2,8,3,6,5]=>0100101=>[2,3,2,1] [3,1,7,2,8,4,6,5]=>1010101=>[1,2,2,2,1] [3,1,2,7,8,5,6,4]=>1000101=>[1,4,2,1] [1,4,3,8,7,5,6,2]=>0101101=>[2,2,1,2,1] [4,1,2,8,7,5,6,3]=>1001101=>[1,3,1,2,1] [3,1,2,8,7,5,6,4]=>1001101=>[1,3,1,2,1] [3,1,8,2,7,4,6,5]=>1010101=>[1,2,2,2,1] [3,1,8,7,2,4,5,6]=>1011000=>[1,2,1,4] [3,1,7,6,2,4,5,8]=>1011000=>[1,2,1,4] [4,7,1,6,2,3,5,8]=>0101000=>[2,2,4] [4,8,1,6,2,3,5,7]=>0101000=>[2,2,4] [4,8,1,7,2,3,5,6]=>0101000=>[2,2,4] [4,8,1,2,7,3,6,5]=>0100101=>[2,3,2,1] [5,8,1,2,7,3,6,4]=>0100101=>[2,3,2,1] [5,1,8,2,7,4,6,3]=>1010101=>[1,2,2,2,1] [1,5,8,3,7,4,6,2]=>0010101=>[3,2,2,1] [1,6,8,7,3,4,5,2]=>0011001=>[3,1,3,1] [6,1,8,7,2,4,5,3]=>1011001=>[1,2,1,3,1] [6,8,1,7,2,3,5,4]=>0101001=>[2,2,3,1] [6,8,7,1,2,3,4,5]=>0110000=>[2,1,5] [5,8,7,1,2,3,4,6]=>0110000=>[2,1,5] [5,8,6,1,2,3,4,7]=>0110000=>[2,1,5] [5,7,6,1,2,3,4,8]=>0110000=>[2,1,5] [7,8,1,6,2,3,5,4]=>0101001=>[2,2,3,1] [7,1,8,6,2,4,5,3]=>1011001=>[1,2,1,3,1] [1,7,8,6,3,4,5,2]=>0011001=>[3,1,3,1] [1,8,7,6,3,4,5,2]=>0111001=>[2,1,1,3,1] [8,1,7,6,2,4,5,3]=>1011001=>[1,2,1,3,1] [8,7,1,6,2,3,5,4]=>1101001=>[1,1,2,3,1] [3,2,5,1,6,4,8,7]=>1010101=>[1,2,2,2,1] [3,2,5,4,7,1,8,6]=>1010101=>[1,2,2,2,1] [4,2,5,3,7,6,8,1]=>1010101=>[1,2,2,2,1] [4,2,5,3,7,1,8,6]=>1010101=>[1,2,2,2,1] [4,2,5,3,6,1,8,7]=>1010101=>[1,2,2,2,1] [4,2,5,1,6,3,8,7]=>1010101=>[1,2,2,2,1] [3,1,5,4,6,2,8,7]=>1010101=>[1,2,2,2,1] [4,1,5,3,6,2,8,7]=>1010101=>[1,2,2,2,1] [4,3,5,1,6,2,8,7]=>1010101=>[1,2,2,2,1] [4,3,5,2,7,1,8,6]=>1010101=>[1,2,2,2,1] [4,3,6,2,7,5,8,1]=>1010101=>[1,2,2,2,1] [4,3,6,2,7,1,8,5]=>1010101=>[1,2,2,2,1] [4,3,6,1,7,2,8,5]=>1010101=>[1,2,2,2,1] [4,3,5,1,7,2,8,6]=>1010101=>[1,2,2,2,1] [3,1,5,4,7,2,8,6]=>1010101=>[1,2,2,2,1] [2,1,5,4,7,3,8,6]=>1010101=>[1,2,2,2,1] [3,1,5,4,7,6,8,2]=>1010101=>[1,2,2,2,1] [4,1,5,3,7,6,8,2]=>1010101=>[1,2,2,2,1] [4,3,5,1,7,6,8,2]=>1010101=>[1,2,2,2,1] [4,3,6,1,7,5,8,2]=>1010101=>[1,2,2,2,1] [4,3,6,5,7,1,8,2]=>1010101=>[1,2,2,2,1] [5,3,6,4,7,2,8,1]=>1010101=>[1,2,2,2,1] [5,3,6,4,7,1,8,2]=>1010101=>[1,2,2,2,1] [5,3,6,1,7,4,8,2]=>1010101=>[1,2,2,2,1] [5,1,6,3,7,4,8,2]=>1010101=>[1,2,2,2,1] [4,1,6,3,7,5,8,2]=>1010101=>[1,2,2,2,1] [3,1,6,4,7,5,8,2]=>1010101=>[1,2,2,2,1] [2,1,6,4,7,5,8,3]=>1010101=>[1,2,2,2,1] [2,1,6,4,7,3,8,5]=>1010101=>[1,2,2,2,1] [3,1,6,4,7,2,8,5]=>1010101=>[1,2,2,2,1] [4,1,6,3,7,2,8,5]=>1010101=>[1,2,2,2,1] [5,1,6,3,7,2,8,4]=>1010101=>[1,2,2,2,1] [5,3,6,1,7,2,8,4]=>1010101=>[1,2,2,2,1] [5,3,6,2,7,1,8,4]=>1010101=>[1,2,2,2,1] [5,3,6,2,7,4,8,1]=>1010101=>[1,2,2,2,1] [5,2,6,3,7,4,8,1]=>1010101=>[1,2,2,2,1] [5,2,6,3,7,1,8,4]=>1010101=>[1,2,2,2,1] [5,2,6,1,7,3,8,4]=>1010101=>[1,2,2,2,1] [4,2,5,1,7,3,8,6]=>1010101=>[1,2,2,2,1] [4,2,6,1,7,3,8,5]=>1010101=>[1,2,2,2,1] [4,2,6,3,7,1,8,5]=>1010101=>[1,2,2,2,1] [4,2,6,3,7,5,8,1]=>1010101=>[1,2,2,2,1] [3,2,6,4,7,5,8,1]=>1010101=>[1,2,2,2,1] [3,2,6,4,7,1,8,5]=>1010101=>[1,2,2,2,1] [3,2,6,1,7,4,8,5]=>1010101=>[1,2,2,2,1] [3,2,5,1,7,4,8,6]=>1010101=>[1,2,2,2,1] [3,2,4,1,7,5,8,6]=>1010101=>[1,2,2,2,1] [3,1,4,2,7,6,8,5]=>1010101=>[1,2,2,2,1] [3,2,5,1,7,6,8,4]=>1010101=>[1,2,2,2,1] [3,2,6,1,7,5,8,4]=>1010101=>[1,2,2,2,1] [3,2,6,5,7,1,8,4]=>1010101=>[1,2,2,2,1] [4,2,6,5,7,3,8,1]=>1010101=>[1,2,2,2,1] [4,2,6,5,7,1,8,3]=>1010101=>[1,2,2,2,1] [4,2,6,1,7,5,8,3]=>1010101=>[1,2,2,2,1] [4,2,5,1,7,6,8,3]=>1010101=>[1,2,2,2,1] [4,1,5,2,7,6,8,3]=>1010101=>[1,2,2,2,1] [3,1,5,2,7,6,8,4]=>1010101=>[1,2,2,2,1] [2,1,5,3,7,6,8,4]=>1010101=>[1,2,2,2,1] [2,1,6,3,7,5,8,4]=>1010101=>[1,2,2,2,1] [3,1,6,2,7,5,8,4]=>1010101=>[1,2,2,2,1] [4,1,6,2,7,5,8,3]=>1010101=>[1,2,2,2,1] [5,1,6,2,7,4,8,3]=>1010101=>[1,2,2,2,1] [5,2,6,1,7,4,8,3]=>1010101=>[1,2,2,2,1] [5,2,6,4,7,1,8,3]=>1010101=>[1,2,2,2,1] [5,2,6,4,7,3,8,1]=>1010101=>[1,2,2,2,1] [5,4,6,2,7,3,8,1]=>1010101=>[1,2,2,2,1] [5,4,6,2,7,1,8,3]=>1010101=>[1,2,2,2,1] [5,4,6,1,7,2,8,3]=>1010101=>[1,2,2,2,1] [5,1,6,4,7,2,8,3]=>1010101=>[1,2,2,2,1] [4,1,6,5,7,2,8,3]=>1010101=>[1,2,2,2,1] [3,1,6,5,7,2,8,4]=>1010101=>[1,2,2,2,1] [2,1,6,5,7,3,8,4]=>1010101=>[1,2,2,2,1] [3,1,6,5,7,4,8,2]=>1010101=>[1,2,2,2,1] [4,1,6,5,7,3,8,2]=>1010101=>[1,2,2,2,1] [5,1,6,4,7,3,8,2]=>1010101=>[1,2,2,2,1] [5,4,6,1,7,3,8,2]=>1010101=>[1,2,2,2,1] [5,4,6,3,7,1,8,2]=>1010101=>[1,2,2,2,1] [8,3,5,2,1,6,4,7]=>1011010=>[1,2,1,2,2] [8,6,3,5,2,4,1,7]=>1101010=>[1,1,2,2,2] [3,7,5,2,4,1,8,6]=>0110101=>[2,1,2,2,1] [8,3,7,5,2,4,6,1]=>1011001=>[1,2,1,3,1] [8,2,4,5,7,3,6,1]=>1000101=>[1,4,2,1] [2,4,5,7,3,1,8,6]=>0001101=>[4,1,2,1] [8,2,4,6,5,3,1,7]=>1001110=>[1,3,1,1,2] [8,2,5,4,6,1,3,7]=>1010100=>[1,2,2,3] [8,6,3,5,1,4,2,7]=>1101010=>[1,1,2,2,2] [8,6,1,4,5,3,2,7]=>1100110=>[1,1,3,1,2] [8,1,5,6,4,3,2,7]=>1001110=>[1,3,1,1,2] [5,7,4,3,2,1,8,6]=>0111101=>[2,1,1,1,2,1] [8,5,7,4,3,2,6,1]=>1011101=>[1,2,1,1,2,1] [4,6,8,3,2,7,5,1]=>0011011=>[3,1,2,1,1] [4,7,6,3,2,8,1,5]=>0111010=>[2,1,1,2,2] [1,4,6,7,3,2,8,5]=>0001101=>[4,1,2,1] [5,4,7,3,1,8,2,6]=>1011010=>[1,2,1,2,2] [1,7,4,5,3,2,8,6]=>0101101=>[2,2,1,2,1] [3,7,5,1,4,2,8,6]=>0110101=>[2,1,2,2,1] [5,7,4,2,1,3,8,6]=>0111001=>[2,1,1,3,1] [8,5,7,4,2,1,6,3]=>1011101=>[1,2,1,1,2,1] [8,3,7,5,1,4,6,2]=>1011001=>[1,2,1,3,1] [8,4,1,7,5,3,6,2]=>1101101=>[1,1,2,1,2,1] [4,6,3,8,7,1,5,2]=>0101101=>[2,2,1,2,1] [1,7,4,8,6,3,5,2]=>0101101=>[2,2,1,2,1] [8,4,7,6,3,5,2,1]=>1011011=>[1,2,1,2,1,1] [3,6,5,8,7,4,1,2]=>0101110=>[2,2,1,1,2] [3,1,5,8,6,7,4,2]=>1001011=>[1,3,2,1,1] [4,8,1,6,7,3,5,2]=>0100101=>[2,3,2,1] [3,6,4,1,8,7,5,2]=>0110111=>[2,1,2,1,1,1] [8,2,6,1,4,7,5,3]=>1010011=>[1,2,3,1,1] [2,7,6,8,1,4,3,5]=>0101010=>[2,2,2,2] [3,7,1,6,4,8,2,5]=>0101010=>[2,2,2,2] [1,7,3,5,6,8,2,4]=>0100010=>[2,4,2] [1,3,6,7,5,8,2,4]=>0001010=>[4,2,2] [3,7,6,5,8,2,1,4]=>0110110=>[2,1,2,1,2] [3,6,8,5,7,2,4,1]=>0010101=>[3,2,2,1] [2,3,5,7,6,8,1,4]=>0001010=>[4,2,2] [2,1,6,5,7,8,3,4]=>1010010=>[1,2,3,2] [4,2,7,6,8,3,1,5]=>1010110=>[1,2,2,1,2] [4,2,6,8,7,3,5,1]=>1001101=>[1,3,1,2,1] [3,8,2,4,6,7,5,1]=>0100011=>[2,4,1,1] [3,7,2,6,4,8,1,5]=>0101010=>[2,2,2,2] [3,2,6,1,4,7,8,5]=>1010001=>[1,2,4,1] [5,3,7,2,1,8,4,6]=>1011010=>[1,2,1,2,2] [4,7,3,2,1,5,8,6]=>0111001=>[2,1,1,3,1] [8,7,6,1,3,4,2,5]=>1110010=>[1,1,1,3,2] [8,5,7,3,2,1,6,4]=>1011101=>[1,2,1,1,2,1] [8,3,6,7,2,1,5,4]=>1001101=>[1,3,1,2,1] [3,7,8,6,2,1,5,4]=>0011101=>[3,1,1,2,1] [8,7,6,3,5,2,4,1]=>1110101=>[1,1,1,2,2,1] [2,7,4,8,1,6,5,3]=>0101011=>[2,2,2,1,1] [4,6,8,2,1,7,5,3]=>0011011=>[3,1,2,1,1] [8,4,1,5,7,2,6,3]=>1100101=>[1,1,3,2,1] [8,5,3,7,1,6,2,4]=>1101010=>[1,1,2,2,2] [8,5,7,2,1,3,6,4]=>1011001=>[1,2,1,3,1] [8,2,6,7,1,3,5,4]=>1001001=>[1,3,3,1] [8,3,6,1,7,5,2,4]=>1010110=>[1,2,2,1,2] [4,6,1,8,7,2,5,3]=>0101101=>[2,2,1,2,1] [8,1,2,5,6,7,4,3]=>1000011=>[1,5,1,1] [8,2,6,5,7,4,1,3]=>1010110=>[1,2,2,1,2] [2,1,7,8,5,6,4,3]=>1001011=>[1,3,2,1,1] [8,2,5,7,6,4,3,1]=>1001111=>[1,3,1,1,1,1] [2,7,6,8,5,4,1,3]=>0101110=>[2,2,1,1,2] [1,7,2,5,8,6,4,3]=>0100111=>[2,3,1,1,1] [1,7,4,8,2,6,5,3]=>0101011=>[2,2,2,1,1] [3,7,8,1,6,5,2,4]=>0010110=>[3,2,1,2] [2,7,8,6,1,3,5,4]=>0011001=>[3,1,3,1] [8,7,6,3,5,1,4,2]=>1110101=>[1,1,1,2,2,1] [8,4,7,6,5,1,3,2]=>1011101=>[1,2,1,1,2,1] [8,7,1,5,6,4,3,2]=>1100111=>[1,1,3,1,1,1] [8,1,6,7,5,4,3,2]=>1001111=>[1,3,1,1,1,1] [6,5,3,1,2,4,8,7]=>1110001=>[1,1,1,4,1] [4,6,3,5,1,2,8,7]=>0101001=>[2,2,3,1] [8,5,3,7,2,1,4,6]=>1101100=>[1,1,2,1,3] [6,8,1,4,5,7,3,2]=>0100011=>[2,4,1,1] [8,7,2,4,5,1,3,6]=>1100100=>[1,1,3,3] [3,6,2,4,5,1,8,7]=>0100101=>[2,3,2,1] [2,6,1,4,5,3,8,7]=>0100101=>[2,3,2,1] [6,1,2,4,5,3,8,7]=>1000101=>[1,4,2,1] [5,6,3,2,1,4,8,7]=>0111001=>[2,1,1,3,1] [5,4,3,6,1,2,8,7]=>1101001=>[1,1,2,3,1] [6,3,1,4,5,2,8,7]=>1100101=>[1,1,3,2,1] [3,1,6,4,5,2,8,7]=>1010101=>[1,2,2,2,1] [8,3,7,4,5,1,2,6]=>1010100=>[1,2,2,3] [5,8,7,4,2,6,3,1]=>0111011=>[2,1,1,2,1,1] [2,8,7,4,1,6,3,5]=>0111010=>[2,1,1,2,2] [8,1,7,4,2,6,3,5]=>1011010=>[1,2,1,2,2] [3,7,8,4,5,1,2,6]=>0010100=>[3,2,3] [2,1,8,7,5,3,4,6]=>1011100=>[1,2,1,1,3] [2,1,6,8,5,7,3,4]=>1001010=>[1,3,2,2] [5,6,3,8,1,7,2,4]=>0101010=>[2,2,2,2] [7,6,1,4,5,8,3,2]=>1100011=>[1,1,4,1,1] [3,7,6,4,5,8,2,1]=>0110011=>[2,1,3,1,1] [8,5,7,4,1,6,3,2]=>1011011=>[1,2,1,2,1,1] [5,1,8,4,7,6,2,3]=>1010110=>[1,2,2,1,2] [2,5,8,4,7,6,1,3]=>0010110=>[3,2,1,2] [2,4,8,3,5,6,7,1]=>0010001=>[3,4,1] [4,1,8,3,5,6,7,2]=>1010001=>[1,2,4,1] [3,8,4,2,5,6,7,1]=>0110001=>[2,1,4,1] [8,4,1,3,5,6,7,2]=>1100001=>[1,1,5,1] [7,5,8,4,3,6,1,2]=>1011010=>[1,2,1,2,2] [6,5,3,8,4,1,7,2]=>1101101=>[1,1,2,1,2,1] [2,1,5,8,4,6,7,3]=>1001001=>[1,3,3,1] [2,1,4,8,3,6,7,5]=>1001001=>[1,3,3,1] [6,4,3,8,2,1,7,5]=>1101101=>[1,1,2,1,2,1] [7,3,8,4,2,6,1,5]=>1011010=>[1,2,1,2,2] [8,3,1,2,5,6,7,4]=>1100001=>[1,1,5,1] [3,1,8,2,5,6,7,4]=>1010001=>[1,2,4,1] [2,3,8,1,5,6,7,4]=>0010001=>[3,4,1] [4,3,8,2,5,6,7,1]=>1010001=>[1,2,4,1] [4,8,2,3,5,6,7,1]=>0100001=>[2,5,1] [3,8,2,1,5,6,7,4]=>0110001=>[2,1,4,1] [2,8,1,3,5,6,7,4]=>0100001=>[2,5,1] [8,1,2,3,5,6,7,4]=>1000001=>[1,6,1] [7,8,2,4,3,6,1,5]=>0101010=>[2,2,2,2] [6,8,3,2,4,1,7,5]=>0110101=>[2,1,2,2,1] [2,1,8,3,4,6,7,5]=>1010001=>[1,2,4,1] [2,1,7,8,5,4,3,6]=>1001110=>[1,3,1,1,2] [5,7,3,8,1,4,2,6]=>0101010=>[2,2,2,2] [7,1,8,4,5,3,2,6]=>1010110=>[1,2,2,1,2] [2,7,8,4,5,3,1,6]=>0010110=>[3,2,1,2] [8,7,1,4,3,6,2,5]=>1101010=>[1,1,2,2,2] [3,8,7,4,2,6,1,5]=>0111010=>[2,1,1,2,2] [5,7,8,4,3,6,2,1]=>0011011=>[3,1,2,1,1] [5,6,3,8,4,2,7,1]=>0101101=>[2,2,1,2,1] [4,8,3,6,2,1,7,5]=>0101101=>[2,2,1,2,1] [8,6,3,1,4,2,7,5]=>1110101=>[1,1,1,2,2,1] [7,5,3,8,2,4,1,6]=>1101010=>[1,1,2,2,2] [2,4,3,1,8,5,7,6]=>0110101=>[2,1,2,2,1] [4,1,3,2,6,8,7,5]=>1010011=>[1,2,3,1,1] [7,5,3,6,2,8,1,4]=>1101010=>[1,1,2,2,2] [8,6,3,5,1,2,7,4]=>1101001=>[1,1,2,3,1] [5,8,3,2,6,1,7,4]=>0110101=>[2,1,2,2,1] [4,5,3,8,6,2,7,1]=>0101101=>[2,2,1,2,1] [3,5,8,4,7,6,2,1]=>0010111=>[3,2,1,1,1] [5,8,2,4,7,6,1,3]=>0100110=>[2,3,1,2] [8,7,5,4,1,6,2,3]=>1111010=>[1,1,1,1,2,2] [2,7,6,4,5,8,1,3]=>0110010=>[2,1,3,2] [7,1,6,4,5,8,2,3]=>1010010=>[1,2,3,2] [5,7,3,6,1,8,2,4]=>0101010=>[2,2,2,2] [2,1,7,6,5,8,3,4]=>1011010=>[1,2,1,2,2] [2,1,8,5,3,6,7,4]=>1011001=>[1,2,1,3,1] [6,8,3,5,2,1,7,4]=>0101101=>[2,2,1,2,1] [7,8,5,4,2,6,1,3]=>0111010=>[2,1,1,2,2] [8,1,4,2,5,6,7,3]=>1010001=>[1,2,4,1] [2,8,4,1,5,6,7,3]=>0110001=>[2,1,4,1] [4,8,1,2,5,6,7,3]=>0100001=>[2,5,1] [3,4,8,1,5,6,7,2]=>0010001=>[3,4,1] [3,4,2,8,5,6,7,1]=>0101001=>[2,2,3,1] [2,4,1,8,5,6,7,3]=>0101001=>[2,2,3,1] [4,1,2,8,5,6,7,3]=>1001001=>[1,3,3,1] [8,4,2,1,5,6,7,3]=>1110001=>[1,1,1,4,1] [7,5,2,4,8,6,1,3]=>1100110=>[1,1,3,1,2] [6,5,3,2,8,1,7,4]=>1110101=>[1,1,1,2,2,1] [2,1,5,3,8,6,7,4]=>1010101=>[1,2,2,2,1] [6,4,3,5,8,1,7,2]=>1100101=>[1,1,3,2,1] [7,3,5,4,8,6,1,2]=>1010110=>[1,2,2,1,2] [8,3,4,1,5,6,7,2]=>1010001=>[1,2,4,1] [4,3,1,8,5,6,7,2]=>1101001=>[1,1,2,3,1] [3,1,4,8,5,6,7,2]=>1001001=>[1,3,3,1] [6,5,3,7,2,8,4,1]=>1101011=>[1,1,2,2,1,1] [6,3,7,4,5,8,2,1]=>1010011=>[1,2,3,1,1] [6,7,2,4,5,8,3,1]=>0100011=>[2,4,1,1] [5,1,7,4,8,6,3,2]=>1010111=>[1,2,2,1,1,1] [2,5,7,4,8,6,3,1]=>0010111=>[3,2,1,1,1] [5,6,3,7,1,8,4,2]=>0101011=>[2,2,2,1,1] [3,8,7,4,5,2,1,6]=>0110110=>[2,1,2,1,2] [3,7,5,4,8,6,2,1]=>0110111=>[2,1,2,1,1,1] [5,7,1,4,8,6,2,3]=>0100110=>[2,3,1,2] [5,6,3,1,8,2,7,4]=>0110101=>[2,1,2,2,1] [4,6,3,5,8,2,7,1]=>0100101=>[2,3,2,1] [4,6,3,8,1,2,7,5]=>0101001=>[2,2,3,1] [3,7,8,4,1,6,2,5]=>0011010=>[3,1,2,2] [3,2,5,1,6,8,4,7]=>1010010=>[1,2,3,2] [3,6,2,5,4,8,1,7]=>0101010=>[2,2,2,2] [3,5,2,4,7,1,8,6]=>0100101=>[2,3,2,1] [3,5,8,2,4,7,6,1]=>0010011=>[3,3,1,1] [4,2,5,8,3,7,6,1]=>1001011=>[1,3,2,1,1] [4,2,6,5,3,8,1,7]=>1011010=>[1,2,1,2,2] [5,4,2,1,6,8,3,7]=>1110010=>[1,1,1,3,2] [6,3,5,1,4,8,2,7]=>1010010=>[1,2,3,2] [4,6,1,5,3,8,2,7]=>0101010=>[2,2,2,2] [5,1,6,4,3,8,2,7]=>1011010=>[1,2,1,2,2] [5,4,3,2,7,1,8,6]=>1110101=>[1,1,1,2,2,1] [5,4,3,8,2,7,6,1]=>1101011=>[1,1,2,2,1,1] [4,3,6,2,8,7,5,1]=>1010111=>[1,2,2,1,1,1] [4,3,7,6,2,1,8,5]=>1011101=>[1,2,1,1,2,1] [6,4,3,1,7,2,8,5]=>1110101=>[1,1,1,2,2,1] [7,5,4,3,1,8,2,6]=>1111010=>[1,1,1,1,2,2] [1,4,7,5,8,3,2,6]=>0010110=>[3,2,1,2] [7,1,3,5,8,4,2,6]=>1000110=>[1,4,1,2] [7,2,5,8,4,1,3,6]=>1001100=>[1,3,1,3] [2,8,5,7,4,6,1,3]=>0101010=>[2,2,2,2] [3,5,8,7,1,4,6,2]=>0011001=>[3,1,3,1] [1,4,5,8,7,3,6,2]=>0001101=>[4,1,2,1] [1,5,4,8,7,3,6,2]=>0101101=>[2,2,1,2,1] [6,4,3,8,1,7,5,2]=>1101011=>[1,1,2,2,1,1] [4,3,7,1,8,6,5,2]=>1010111=>[1,2,2,1,1,1] [4,8,3,7,6,5,2,1]=>0101111=>[2,2,1,1,1,1] [5,3,8,7,6,4,2,1]=>1011111=>[1,2,1,1,1,1,1] [7,5,3,1,8,6,4,2]=>1110111=>[1,1,1,2,1,1,1] [1,8,6,5,3,7,4,2]=>0111011=>[2,1,1,2,1,1] [1,5,8,6,3,7,4,2]=>0011011=>[3,1,2,1,1] [4,6,1,8,7,3,5,2]=>0101101=>[2,2,1,2,1] [6,8,7,3,1,4,5,2]=>0111001=>[2,1,1,3,1] [6,2,8,7,4,5,1,3]=>1011010=>[1,2,1,2,2] [7,6,2,8,4,1,3,5]=>1101100=>[1,1,2,1,3] [7,3,1,6,8,4,2,5]=>1100110=>[1,1,3,1,2] [1,7,6,4,8,3,2,5]=>0110110=>[2,1,2,1,2] [5,7,1,6,3,2,8,4]=>0101101=>[2,2,1,2,1] [6,1,7,5,3,2,8,4]=>1011101=>[1,2,1,1,2,1] [7,6,5,3,2,1,8,4]=>1111101=>[1,1,1,1,1,2,1] [6,5,3,2,8,7,4,1]=>1110111=>[1,1,1,2,1,1,1] [5,2,6,3,8,7,4,1]=>1010111=>[1,2,2,1,1,1] [5,2,7,6,3,1,8,4]=>1011101=>[1,2,1,1,2,1] [6,5,2,1,7,3,8,4]=>1110101=>[1,1,1,2,2,1] [5,2,7,4,1,8,3,6]=>1011010=>[1,2,1,2,2] [4,7,2,6,3,1,8,5]=>0101101=>[2,2,1,2,1] [2,4,8,6,3,7,5,1]=>0011011=>[3,1,2,1,1] [3,8,6,2,4,7,5,1]=>0110011=>[2,1,3,1,1] [7,3,6,2,4,1,8,5]=>1010101=>[1,2,2,2,1] [3,6,7,2,1,4,8,5]=>0011001=>[3,1,3,1] [4,3,7,8,2,1,5,6]=>1001100=>[1,3,1,3] [8,3,7,1,4,6,2,5]=>1010010=>[1,2,3,2] [3,8,2,5,7,1,6,4]=>0100101=>[2,3,2,1] [8,3,6,2,7,1,5,4]=>1010101=>[1,2,2,2,1] [7,8,3,6,2,1,5,4]=>0101101=>[2,2,1,2,1] [8,7,3,6,2,5,4,1]=>1101011=>[1,1,2,2,1,1] [4,7,8,2,1,6,5,3]=>0011011=>[3,1,2,1,1] [4,2,6,8,1,7,5,3]=>1001011=>[1,3,2,1,1] [5,4,8,2,7,1,6,3]=>1010101=>[1,2,2,2,1] [4,8,1,5,7,2,6,3]=>0100101=>[2,3,2,1] [5,8,3,7,1,6,2,4]=>0101010=>[2,2,2,2] [5,8,7,2,6,1,3,4]=>0110100=>[2,1,2,3] [8,6,2,7,5,1,3,4]=>1101100=>[1,1,2,1,3] [3,6,8,1,7,5,2,4]=>0010110=>[3,2,1,2] [5,1,6,8,2,7,4,3]=>1001011=>[1,3,2,1,1] [6,5,2,8,1,7,4,3]=>1101011=>[1,1,2,2,1,1] [5,2,7,1,8,6,4,3]=>1010111=>[1,2,2,1,1,1] [5,8,2,7,6,4,3,1]=>0101111=>[2,2,1,1,1,1] [6,2,8,7,5,4,3,1]=>1011111=>[1,2,1,1,1,1,1] [7,6,2,1,8,5,4,3]=>1110111=>[1,1,1,2,1,1,1] [6,1,7,2,8,5,4,3]=>1010111=>[1,2,2,1,1,1] [7,5,1,8,2,6,4,3]=>1101011=>[1,1,2,2,1,1] [4,7,1,8,6,2,5,3]=>0101101=>[2,2,1,2,1] [7,8,3,1,6,5,2,4]=>0110110=>[2,1,2,1,2] [8,7,4,6,1,5,3,2]=>1101011=>[1,1,2,2,1,1] [8,5,7,1,6,4,3,2]=>1010111=>[1,2,2,1,1,1] [6,8,1,7,5,4,3,2]=>0101111=>[2,2,1,1,1,1] [7,1,8,6,5,4,3,2]=>1011111=>[1,2,1,1,1,1,1] [5,4,2,3,7,6,1,8]=>1100110=>[1,1,3,1,2] [6,4,2,7,3,5,1,8]=>1101010=>[1,1,2,2,2] [7,4,2,6,3,5,1,8]=>1101010=>[1,1,2,2,2] [8,4,2,6,3,1,5,7]=>1101100=>[1,1,2,1,3] [3,2,7,6,4,5,1,8]=>1011010=>[1,2,1,2,2] [4,7,2,6,3,5,1,8]=>0101010=>[2,2,2,2] [5,7,6,2,3,4,1,8]=>0110010=>[2,1,3,2] [1,6,5,2,3,8,4,7]=>0110010=>[2,1,3,2] [1,7,5,2,8,3,4,6]=>0110100=>[2,1,2,3] [6,8,5,2,3,1,4,7]=>0110100=>[2,1,2,3] [5,8,6,2,3,1,4,7]=>0110100=>[2,1,2,3] [4,8,2,6,3,1,5,7]=>0101100=>[2,2,1,3] [3,2,8,6,4,1,5,7]=>1011100=>[1,2,1,1,3] [3,2,1,6,4,8,5,7]=>1101010=>[1,1,2,2,2] [7,1,5,2,8,3,4,6]=>1010100=>[1,2,2,3] [1,8,5,2,7,3,4,6]=>0110100=>[2,1,2,3] [1,8,6,7,2,3,4,5]=>0101000=>[2,2,4] [8,1,6,7,2,3,4,5]=>1001000=>[1,3,4] [7,1,6,8,2,3,4,5]=>1001000=>[1,3,4] [3,2,1,7,8,4,5,6]=>1100100=>[1,1,3,3] [3,2,8,7,1,4,5,6]=>1011000=>[1,2,1,4] [5,8,7,2,1,3,4,6]=>0111000=>[2,1,1,4] [1,7,6,8,2,3,4,5]=>0101000=>[2,2,4] [6,5,8,2,3,1,4,7]=>1010100=>[1,2,2,3] [8,5,7,2,1,3,4,6]=>1011000=>[1,2,1,4] [6,4,2,8,3,1,5,7]=>1101100=>[1,1,2,1,3] [5,4,2,3,8,1,6,7]=>1100100=>[1,1,3,3] [3,2,5,4,1,8,6,7]=>1011010=>[1,2,1,2,2] [4,5,2,3,1,8,6,7]=>0101010=>[2,2,2,2] [5,4,2,3,1,8,6,7]=>1101010=>[1,1,2,2,2] [6,4,2,1,3,8,5,7]=>1110010=>[1,1,1,3,2] [7,4,2,1,8,3,5,6]=>1110100=>[1,1,1,2,3] [8,4,2,1,7,3,5,6]=>1110100=>[1,1,1,2,3] [1,4,2,8,7,3,5,6]=>0101100=>[2,2,1,3] [1,5,8,2,7,3,4,6]=>0010100=>[3,2,3] [8,5,1,2,7,3,4,6]=>1100100=>[1,1,3,3] [7,5,1,2,8,3,4,6]=>1100100=>[1,1,3,3] [6,5,1,2,3,8,4,7]=>1100010=>[1,1,4,2] [4,6,2,1,3,8,5,7]=>0110010=>[2,1,3,2] [3,2,6,1,4,8,5,7]=>1010010=>[1,2,3,2] [3,2,7,1,8,4,5,6]=>1010100=>[1,2,2,3] [4,7,2,1,8,3,5,6]=>0110100=>[2,1,2,3] [7,6,1,8,2,3,4,5]=>1101000=>[1,1,2,4] [8,6,1,7,2,3,4,5]=>1101000=>[1,1,2,4] [1,6,8,7,2,3,4,5]=>0011000=>[3,1,4] [1,7,8,6,2,3,4,5]=>0011000=>[3,1,4] [7,8,1,6,2,3,4,5]=>0101000=>[2,2,4] [6,8,1,7,2,3,4,5]=>0101000=>[2,2,4] [4,8,2,1,7,3,5,6]=>0110100=>[2,1,2,3] [3,2,8,1,7,4,5,6]=>1010100=>[1,2,2,3] [3,2,1,8,7,4,5,6]=>1101100=>[1,1,2,1,3] [5,1,8,2,7,3,4,6]=>1010100=>[1,2,2,3] [6,1,8,7,2,3,4,5]=>1011000=>[1,2,1,4] [8,1,7,6,2,3,4,5]=>1011000=>[1,2,1,4] [1,8,7,6,2,3,4,5]=>0111000=>[2,1,1,4] [6,3,5,1,2,4,8,7]=>1010001=>[1,2,4,1] [4,3,5,6,1,2,8,7]=>1001001=>[1,3,3,1] [8,3,7,5,2,1,4,6]=>1011100=>[1,2,1,1,3] [6,3,7,5,1,8,4,2]=>1011011=>[1,2,1,2,1,1] [6,5,2,7,1,8,3,4]=>1101010=>[1,1,2,2,2] [8,5,2,7,4,1,3,6]=>1101100=>[1,1,2,1,3] [2,6,1,5,4,3,8,7]=>0101101=>[2,2,1,2,1] [6,4,3,5,1,2,8,7]=>1101001=>[1,1,2,3,1] [5,3,1,4,6,2,8,7]=>1100101=>[1,1,3,2,1] [3,1,4,6,5,2,8,7]=>1001101=>[1,3,1,2,1] [5,7,4,6,2,8,3,1]=>0101011=>[2,2,2,1,1] [8,1,4,7,2,6,3,5]=>1001010=>[1,3,2,2] [3,4,7,8,5,2,1,6]=>0001110=>[4,1,1,2] [2,1,8,5,7,3,4,6]=>1010100=>[1,2,2,3] [8,6,3,5,1,7,4,2]=>1101011=>[1,1,2,2,1,1] [5,8,2,4,6,7,3,1]=>0100011=>[2,4,1,1] [3,4,8,6,5,7,1,2]=>0011010=>[3,1,2,2] [7,5,4,8,1,6,3,2]=>1101011=>[1,1,2,2,1,1] [5,1,4,6,8,2,7,3]=>1000101=>[1,4,2,1] [2,5,4,6,7,1,8,3]=>0100101=>[2,3,2,1] [2,4,6,3,7,5,8,1]=>0010101=>[3,2,2,1] [4,1,6,3,8,5,7,2]=>1010101=>[1,2,2,2,1] [3,7,4,2,8,6,5,1]=>0110111=>[2,1,2,1,1,1] [7,4,1,3,5,8,6,2]=>1100011=>[1,1,4,1,1] [6,5,8,4,1,7,3,2]=>1011011=>[1,2,1,2,1,1] [8,5,3,7,4,1,6,2]=>1101101=>[1,1,2,1,2,1] [2,1,4,8,3,7,6,5]=>1001011=>[1,3,2,1,1] [7,4,3,8,2,1,6,5]=>1101101=>[1,1,2,1,2,1] [6,3,7,4,1,8,2,5]=>1011010=>[1,2,1,2,2] [8,3,1,2,5,7,6,4]=>1100011=>[1,1,4,1,1] [3,1,8,2,7,6,5,4]=>1010111=>[1,2,2,1,1,1] [2,3,8,1,6,7,5,4]=>0010011=>[3,3,1,1] [4,3,7,2,6,8,5,1]=>1010011=>[1,2,3,1,1] [4,7,2,3,8,5,6,1]=>0100101=>[2,3,2,1] [3,8,2,1,7,5,6,4]=>0110101=>[2,1,2,2,1] [2,8,1,3,6,5,7,4]=>0100101=>[2,3,2,1] [2,7,8,5,4,3,1,6]=>0011110=>[3,1,1,1,2] [8,7,1,6,3,4,2,5]=>1101010=>[1,1,2,2,2] [3,8,6,7,2,4,1,5]=>0101010=>[2,2,2,2] [5,3,8,7,4,2,6,1]=>1011101=>[1,2,1,1,2,1] [4,3,8,7,2,1,6,5]=>1011101=>[1,2,1,1,2,1] [8,3,6,1,4,2,7,5]=>1010101=>[1,2,2,2,1] [7,3,5,8,2,4,1,6]=>1001010=>[1,3,2,2] [2,3,4,1,8,5,7,6]=>0010101=>[3,2,2,1] [4,1,3,2,6,7,8,5]=>1010001=>[1,2,4,1] [8,3,5,6,2,7,1,4]=>1001010=>[1,3,2,2] [5,3,6,1,8,7,2,4]=>1010110=>[1,2,2,1,2] [5,6,2,8,7,4,1,3]=>0101110=>[2,2,1,1,2] [7,8,5,6,1,4,2,3]=>0101010=>[2,2,2,2] [2,8,6,5,4,7,1,3]=>0111010=>[2,1,1,2,2] [8,1,6,4,5,7,2,3]=>1010010=>[1,2,3,2] [5,8,3,6,1,7,2,4]=>0101010=>[2,2,2,2] [2,1,8,6,5,7,3,4]=>1011010=>[1,2,1,2,2] [2,1,7,5,3,6,8,4]=>1011001=>[1,2,1,3,1] [6,7,3,5,2,1,8,4]=>0101101=>[2,2,1,2,1] [7,1,4,2,5,6,8,3]=>1010001=>[1,2,4,1] [2,7,4,1,6,5,8,3]=>0110101=>[2,1,2,2,1] [4,6,1,2,8,7,3,5]=>0100110=>[2,3,1,2] [2,4,1,5,8,7,6,3]=>0100111=>[2,3,1,1,1] [4,1,2,5,8,6,7,3]=>1000101=>[1,4,2,1] [6,4,2,1,5,8,7,3]=>1110011=>[1,1,1,3,1,1] [8,5,2,4,6,1,7,3]=>1100101=>[1,1,3,2,1] [7,5,3,2,6,8,1,4]=>1110010=>[1,1,1,3,2] [2,1,5,3,6,8,7,4]=>1010011=>[1,2,3,1,1] [7,3,5,4,6,1,8,2]=>1010101=>[1,2,2,2,1] [6,3,4,1,5,7,8,2]=>1010001=>[1,2,4,1] [4,3,1,5,7,6,8,2]=>1100101=>[1,1,3,2,1] [3,1,4,5,6,8,7,2]=>1000011=>[1,5,1,1] [4,5,2,6,3,1,8,7]=>0101101=>[2,2,1,2,1] [6,5,2,1,4,3,8,7]=>1110101=>[1,1,1,2,2,1] [6,5,2,7,4,8,3,1]=>1101011=>[1,1,2,2,1,1] [8,5,2,7,4,1,6,3]=>1101101=>[1,1,2,1,2,1] [8,3,7,5,2,1,6,4]=>1011101=>[1,2,1,1,2,1] [6,3,7,5,2,8,4,1]=>1011011=>[1,2,1,2,1,1] [3,1,6,5,4,2,8,7]=>1011101=>[1,2,1,1,2,1] [5,6,3,2,4,1,8,7]=>0110101=>[2,1,2,2,1] [3,6,2,4,1,5,8,7]=>0101001=>[2,2,3,1] [2,6,1,3,5,4,8,7]=>0100101=>[2,3,2,1] [6,7,2,3,4,8,5,1]=>0100011=>[2,4,1,1] [8,7,2,3,4,1,6,5]=>1100101=>[1,1,3,2,1] [5,1,7,3,8,4,6,2]=>1010101=>[1,2,2,2,1] [2,5,7,3,8,6,4,1]=>0010111=>[3,2,1,1,1] [7,6,1,3,5,8,4,2]=>1100011=>[1,1,4,1,1] [3,6,7,4,1,8,5,2]=>0011011=>[3,1,2,1,1] [5,6,3,7,4,8,1,2]=>0101010=>[2,2,2,2] [2,1,6,7,4,8,5,3]=>1001011=>[1,3,2,1,1] [2,1,8,7,4,3,6,5]=>1011101=>[1,2,1,1,2,1] [5,8,3,7,4,2,6,1]=>0101101=>[2,2,1,2,1] [3,8,7,4,1,2,6,5]=>0111001=>[2,1,1,3,1] [7,8,1,3,5,2,6,4]=>0100101=>[2,3,2,1] [5,8,7,3,2,6,1,4]=>0111010=>[2,1,1,2,2] [2,8,6,3,1,5,7,4]=>0111001=>[2,1,1,3,1] [8,1,6,3,2,5,4,7]=>1011010=>[1,2,1,2,2] [2,8,4,1,6,3,7,5]=>0110101=>[2,1,2,2,1] [4,8,1,2,7,6,3,5]=>0100110=>[2,3,1,2] [3,8,4,2,5,7,1,6]=>0110010=>[2,1,3,2] [6,8,3,5,2,7,4,1]=>0101011=>[2,2,2,1,1] [2,1,5,3,8,7,6,4]=>1010111=>[1,2,2,1,1,1] [6,5,3,2,8,7,1,4]=>1110110=>[1,1,1,2,1,2] [7,5,2,4,8,1,6,3]=>1100101=>[1,1,3,2,1] [3,4,2,8,5,7,6,1]=>0101011=>[2,2,2,1,1] [2,4,1,8,7,6,5,3]=>0101111=>[2,2,1,1,1,1] [8,4,2,1,7,5,3,6]=>1110110=>[1,1,1,2,1,2] [4,3,1,8,6,7,5,2]=>1101011=>[1,1,2,2,1,1] [3,1,4,8,6,5,7,2]=>1001101=>[1,3,1,2,1] [7,1,6,5,4,8,2,3]=>1011010=>[1,2,1,2,2] [3,7,5,6,8,4,2,1]=>0100111=>[2,3,1,1,1] [5,7,1,6,8,2,4,3]=>0100101=>[2,3,2,1] [8,6,2,5,1,7,4,3]=>1101011=>[1,1,2,2,1,1] [5,6,2,1,8,7,3,4]=>0110110=>[2,1,2,1,2] [4,6,2,5,8,3,7,1]=>0100101=>[2,3,2,1] [7,5,2,6,3,8,1,4]=>1101010=>[1,1,2,2,2] [4,1,2,3,6,8,7,5]=>1000011=>[1,5,1,1] [2,4,3,1,8,5,6,7]=>0110100=>[2,1,2,3] [7,5,2,8,3,4,6,1]=>1101001=>[1,1,2,3,1] [5,6,2,8,4,3,1,7]=>0101110=>[2,2,1,1,2] [4,7,2,8,1,5,3,6]=>0101010=>[2,2,2,2] [8,7,2,1,4,5,6,3]=>1110001=>[1,1,1,4,1] [3,6,8,7,1,5,4,2]=>0011011=>[3,1,2,1,1] [5,7,8,6,3,4,1,2]=>0011010=>[3,1,2,2] [7,1,8,5,4,3,6,2]=>1011101=>[1,2,1,1,2,1] [2,7,8,4,5,3,6,1]=>0010101=>[3,2,2,1] [5,7,3,8,1,4,6,2]=>0101001=>[2,2,3,1] [2,1,7,8,5,4,6,3]=>1001101=>[1,3,1,2,1] [2,1,5,8,4,6,3,7]=>1001010=>[1,3,2,2] [6,5,3,8,4,1,2,7]=>1101100=>[1,1,2,1,3] [7,5,8,4,3,6,2,1]=>1011011=>[1,2,1,2,1,1] [2,4,8,3,5,6,1,7]=>0010010=>[3,3,2] [4,1,8,3,6,5,2,7]=>1010110=>[1,2,2,1,2] [3,4,8,1,7,2,5,6]=>0010100=>[3,2,3] [8,4,1,3,7,2,6,5]=>1100101=>[1,1,3,2,1] [3,1,8,2,4,7,6,5]=>1010011=>[1,2,3,1,1] [2,3,8,1,4,6,7,5]=>0010001=>[3,4,1] [4,3,8,2,5,1,7,6]=>1010101=>[1,2,2,2,1] [6,3,8,4,2,5,7,1]=>1011001=>[1,2,1,3,1] [7,4,3,8,2,5,1,6]=>1101010=>[1,1,2,2,2] [2,1,4,8,3,5,7,6]=>1001001=>[1,3,3,1] [6,8,2,4,3,5,1,7]=>0101010=>[2,2,2,2] [4,8,2,3,5,1,6,7]=>0100100=>[2,3,3] [3,8,2,1,4,6,5,7]=>0110010=>[2,1,3,2] [2,8,1,3,4,5,7,6]=>0100001=>[2,5,1] [2,8,4,1,6,5,3,7]=>0110110=>[2,1,2,1,2] [2,8,4,1,6,5,7,3]=>0110101=>[2,1,2,2,1] [2,8,7,6,1,4,3,5]=>0111010=>[2,1,1,2,2] [2,8,5,6,7,4,3,1]=>0100111=>[2,3,1,1,1] [7,5,8,6,1,4,2,3]=>1011010=>[1,2,1,2,2] [3,5,7,6,1,4,2,8]=>0011010=>[3,1,2,2] [3,5,7,2,4,1,6,8]=>0010100=>[3,2,3] [7,5,8,2,4,1,6,3]=>1010101=>[1,2,2,2,1] [2,8,5,3,4,7,6,1]=>0110011=>[2,1,3,1,1] [2,8,5,3,4,1,7,6]=>0110101=>[2,1,2,2,1] [2,8,5,3,4,1,6,7]=>0110100=>[2,1,2,3] [2,8,7,6,1,4,5,3]=>0111001=>[2,1,1,3,1] [2,8,5,3,6,1,7,4]=>0110101=>[2,1,2,2,1] [2,8,5,6,7,4,1,3]=>0100110=>[2,3,1,2] [2,8,5,3,4,7,1,6]=>0110010=>[2,1,3,2] [2,8,5,3,4,6,1,7]=>0110010=>[2,1,3,2] [2,8,5,3,4,6,7,1]=>0110001=>[2,1,4,1] [3,5,7,2,4,6,1,8]=>0010010=>[3,3,2] [6,5,2,7,3,1,4,8]=>1101100=>[1,1,2,1,3] [6,5,2,8,3,1,7,4]=>1101101=>[1,1,2,1,2,1] [6,5,2,8,3,1,4,7]=>1101100=>[1,1,2,1,3] [7,5,8,2,4,6,3,1]=>1010011=>[1,2,3,1,1] [7,5,8,6,1,4,3,2]=>1011011=>[1,2,1,2,1,1] [6,5,8,2,1,3,7,4]=>1011001=>[1,2,1,3,1] [3,5,6,2,1,8,7,4]=>0011011=>[3,1,2,1,1] [3,5,7,6,1,4,8,2]=>0011001=>[3,1,3,1] [3,5,7,2,4,1,8,6]=>0010101=>[3,2,2,1] [3,5,7,2,4,6,8,1]=>0010001=>[3,4,1] [6,5,2,7,3,1,8,4]=>1101101=>[1,1,2,1,2,1] [4,5,2,6,3,1,7,8]=>0101100=>[2,2,1,3] [4,1,2,3,7,6,8,5]=>1000101=>[1,4,2,1] [6,5,2,7,3,4,8,1]=>1101001=>[1,1,2,3,1] [5,1,6,7,4,3,8,2]=>1001101=>[1,3,1,2,1] [5,1,2,6,4,8,7,3]=>1001011=>[1,3,2,1,1] [5,1,2,8,6,4,7,3]=>1001101=>[1,3,1,2,1] [5,1,6,8,7,3,4,2]=>1001101=>[1,3,1,2,1] [6,5,2,8,3,7,4,1]=>1101011=>[1,1,2,2,1,1] [4,1,2,3,8,7,5,6]=>1000110=>[1,4,1,2] [4,1,2,3,8,6,5,7]=>1000110=>[1,4,1,2] [4,1,2,3,8,6,7,5]=>1000101=>[1,4,2,1] [4,1,2,3,7,6,5,8]=>1000110=>[1,4,1,2] [4,1,2,3,8,5,7,6]=>1000101=>[1,4,2,1] [7,1,6,8,4,3,5,2]=>1001101=>[1,3,1,2,1] [6,1,2,8,4,5,7,3]=>1001001=>[1,3,3,1] [5,6,8,2,3,1,7,4]=>0010101=>[3,2,2,1] [6,5,8,2,4,3,1,7]=>1010110=>[1,2,2,1,2] [6,5,8,2,4,3,7,1]=>1010101=>[1,2,2,2,1] [7,5,2,8,3,4,1,6]=>1101010=>[1,1,2,2,2] [6,5,2,8,3,7,1,4]=>1101010=>[1,1,2,2,2] [6,5,2,7,3,4,1,8]=>1101010=>[1,1,2,2,2] [5,1,6,7,4,3,2,8]=>1001110=>[1,3,1,1,2] [5,1,6,8,7,3,2,4]=>1001110=>[1,3,1,1,2] [7,1,6,8,4,3,2,5]=>1001110=>[1,3,1,1,2] [5,7,8,6,3,4,2,1]=>0011011=>[3,1,2,1,1] [4,1,8,3,6,5,7,2]=>1010101=>[1,2,2,2,1] [4,1,8,3,6,2,7,5]=>1010101=>[1,2,2,2,1] [3,1,4,8,6,2,7,5]=>1001101=>[1,3,1,2,1] [3,1,4,8,6,5,2,7]=>1001110=>[1,3,1,1,2] [7,1,6,5,8,3,2,4]=>1010110=>[1,2,2,1,2] [4,1,6,7,8,3,2,5]=>1000110=>[1,4,1,2] [4,1,6,5,7,3,2,8]=>1010110=>[1,2,2,1,2] [4,5,2,6,3,7,1,8]=>0101010=>[2,2,2,2] [4,5,2,7,3,8,1,6]=>0101010=>[2,2,2,2] [3,5,6,2,4,8,7,1]=>0010011=>[3,3,1,1] [3,5,6,2,4,8,1,7]=>0010010=>[3,3,2] [3,7,5,6,8,4,1,2]=>0100110=>[2,3,1,2] [3,6,5,2,8,1,7,4]=>0110101=>[2,1,2,2,1] [6,1,2,5,8,4,7,3]=>1000101=>[1,4,2,1] [7,1,6,5,8,3,4,2]=>1010101=>[1,2,2,2,1] [7,5,2,6,3,8,4,1]=>1101011=>[1,1,2,2,1,1] [4,1,2,3,5,8,7,6]=>1000011=>[1,5,1,1] [4,1,2,3,7,8,6,5]=>1000011=>[1,5,1,1] [4,5,2,7,3,8,6,1]=>0101011=>[2,2,2,1,1] [4,1,6,7,8,3,5,2]=>1000101=>[1,4,2,1] [4,1,2,6,8,5,7,3]=>1000101=>[1,4,2,1] [4,1,2,5,6,8,7,3]=>1000011=>[1,5,1,1] [4,5,2,6,3,7,8,1]=>0101001=>[2,2,3,1] [7,8,5,6,1,4,3,2]=>0101011=>[2,2,2,1,1] [7,8,4,2,1,5,3,6]=>0111010=>[2,1,1,2,2] [7,8,2,1,6,5,3,4]=>0110110=>[2,1,2,1,2] [6,4,1,2,5,7,3,8]=>1100010=>[1,1,4,2] [2,4,8,1,5,7,3,6]=>0010010=>[3,3,2] [4,3,8,1,7,2,5,6]=>1010100=>[1,2,2,3] [6,3,1,4,7,2,5,8]=>1100100=>[1,1,3,3] [7,8,3,4,5,1,6,2]=>0100101=>[2,3,2,1] [7,8,3,5,4,2,1,6]=>0101110=>[2,2,1,1,2] [7,8,4,1,2,3,6,5]=>0110001=>[2,1,4,1] [7,8,3,6,5,4,1,2]=>0101110=>[2,2,1,1,2] [7,8,2,1,5,3,4,6]=>0110100=>[2,1,2,3] [7,8,2,6,4,1,3,5]=>0101100=>[2,2,1,3] [7,8,2,5,6,4,1,3]=>0100110=>[2,3,1,2] [7,8,1,6,5,4,3,2]=>0101111=>[2,2,1,1,1,1] [6,2,1,7,5,4,3,8]=>1101110=>[1,1,2,1,1,2] [2,1,8,7,5,4,3,6]=>1011110=>[1,2,1,1,1,2] [1,3,8,2,6,4,7,5]=>0010101=>[3,2,2,1] [5,3,7,1,6,4,8,2]=>1010101=>[1,2,2,2,1] [5,3,6,2,7,4,1,8]=>1010110=>[1,2,2,1,2] [6,1,2,5,8,7,4,3]=>1000111=>[1,4,1,1,1] [6,3,1,8,4,2,7,5]=>1101101=>[1,1,2,1,2,1] [6,4,2,1,5,3,8,7]=>1110101=>[1,1,1,2,2,1] [6,4,3,7,5,8,1,2]=>1101010=>[1,1,2,2,2] [4,3,8,7,5,6,1,2]=>1011010=>[1,2,1,2,2] [2,4,7,1,5,3,6,8]=>0010100=>[3,2,3] [1,3,7,6,4,2,8,5]=>0011101=>[3,1,1,2,1] [2,1,7,5,6,8,4,3]=>1010011=>[1,2,3,1,1] [3,7,2,8,6,4,1,5]=>0101110=>[2,2,1,1,2] [3,8,1,7,6,4,5,2]=>0101101=>[2,2,1,2,1] [1,8,5,7,3,6,4,2]=>0101011=>[2,2,2,1,1] [2,7,5,8,3,6,1,4]=>0101010=>[2,2,2,2] [1,5,6,8,2,4,7,3]=>0001001=>[4,3,1] [2,6,8,5,3,1,4,7]=>0011100=>[3,1,1,3] [2,6,1,4,7,3,5,8]=>0100100=>[2,3,3] [5,6,7,3,8,4,1,2]=>0010110=>[3,2,1,2] [5,2,8,1,4,7,3,6]=>1010010=>[1,2,3,2] [4,6,7,5,2,1,3,8]=>0011100=>[3,1,1,3] [4,5,6,7,2,8,1,3]=>0001010=>[4,2,2] [4,5,7,6,1,8,3,2]=>0011011=>[3,1,2,1,1] [1,5,8,6,2,7,3,4]=>0011010=>[3,1,2,2] [1,6,5,8,3,2,7,4]=>0101101=>[2,2,1,2,1] [4,6,5,7,1,2,8,3]=>0101001=>[2,2,3,1] [4,7,5,6,3,1,8,2]=>0101101=>[2,2,1,2,1] [5,1,6,3,4,2,8,7]=>1010101=>[1,2,2,2,1] [5,7,1,4,2,3,8,6]=>0101001=>[2,2,3,1] [5,7,6,4,3,8,1,2]=>0111010=>[2,1,1,2,2] [6,3,4,5,8,7,1,2]=>1000110=>[1,4,1,2] [6,2,4,1,8,3,7,5]=>1010101=>[1,2,2,2,1] [6,2,3,5,4,8,1,7]=>1001010=>[1,3,2,2] [6,1,3,4,5,8,7,2]=>1000011=>[1,5,1,1] [5,1,4,2,7,6,8,3]=>1010101=>[1,2,2,2,1] [1,6,2,4,7,8,3,5]=>0100010=>[2,4,2] [5,7,2,4,1,6,3,8]=>0101010=>[2,2,2,2] [6,1,4,2,8,5,3,7]=>1010110=>[1,2,2,1,2] [6,7,5,8,1,4,3,2]=>0101011=>[2,2,2,1,1] [5,8,7,6,3,4,1,2]=>0111010=>[2,1,1,2,2] [5,8,7,6,2,3,1,4]=>0111010=>[2,1,1,2,2] [4,1,7,2,6,5,3,8]=>1010110=>[1,2,2,1,2] [4,8,2,1,5,6,3,7]=>0110010=>[2,1,3,2] [4,2,7,8,1,6,3,5]=>1001010=>[1,3,2,2] [2,1,8,7,6,5,3,4]=>1011110=>[1,2,1,1,1,2] [3,1,4,7,8,2,6,5]=>1000101=>[1,4,2,1] [3,1,7,4,5,6,8,2]=>1010001=>[1,2,4,1] [4,2,7,1,6,3,8,5]=>1010101=>[1,2,2,2,1] [4,3,7,5,6,8,1,2]=>1010010=>[1,2,3,2] [4,8,6,3,5,7,1,2]=>0110010=>[2,1,3,2] [4,8,1,2,5,3,7,6]=>0100101=>[2,3,2,1] [3,8,6,5,2,4,1,7]=>0111010=>[2,1,1,2,2] [3,8,5,6,1,4,7,2]=>0101001=>[2,2,3,1] [5,3,7,8,2,1,6,4]=>1001101=>[1,3,1,2,1] [5,2,8,7,1,6,4,3]=>1011011=>[1,2,1,2,1,1] [1,6,8,7,5,2,4,3]=>0011101=>[3,1,1,2,1] [3,6,7,8,5,1,4,2]=>0001101=>[4,1,2,1] [3,7,6,8,5,2,1,4]=>0101110=>[2,2,1,1,2] [3,7,8,5,1,2,4,6]=>0011000=>[3,1,4] [3,7,1,6,4,2,5,8]=>0101100=>[2,2,1,3] [4,1,8,6,2,3,5,7]=>1011000=>[1,2,1,4] [4,7,8,6,3,5,1,2]=>0011010=>[3,1,2,2] [3,8,7,6,5,4,1,2]=>0111110=>[2,1,1,1,1,2] [2,1,7,6,5,3,4,8]=>1011100=>[1,2,1,1,3] [2,8,1,6,4,5,3,7]=>0101010=>[2,2,2,2] [2,8,7,5,1,4,3,6]=>0111010=>[2,1,1,2,2] [2,8,6,7,5,1,3,4]=>0101100=>[2,2,1,3] [2,7,8,6,5,4,1,3]=>0011110=>[3,1,1,1,2] [6,4,2,7,1,3,8,5]=>1101001=>[1,1,2,3,1] [7,4,2,5,1,3,8,6]=>1101001=>[1,1,2,3,1] [7,5,3,6,1,8,2,4]=>1101010=>[1,1,2,2,2] [8,5,3,6,1,7,2,4]=>1101010=>[1,1,2,2,2] [7,3,6,2,4,8,1,5]=>1010010=>[1,2,3,2] [4,3,7,1,2,5,8,6]=>1010001=>[1,2,4,1] [3,6,2,7,1,4,8,5]=>0101001=>[2,2,3,1] [5,3,6,7,1,2,8,4]=>1001001=>[1,3,3,1] [6,3,7,4,1,2,8,5]=>1011001=>[1,2,1,3,1] [4,7,1,5,2,3,8,6]=>0101001=>[2,2,3,1] [3,7,5,1,2,4,8,6]=>0110001=>[2,1,4,1] [7,6,4,2,3,8,1,5]=>1110010=>[1,1,1,3,2] [8,6,4,2,3,7,1,5]=>1110010=>[1,1,1,3,2] [4,7,6,3,8,1,2,5]=>0110100=>[2,1,2,3] [5,7,4,2,3,8,1,6]=>0110010=>[2,1,3,2] [3,7,6,1,4,8,2,5]=>0110010=>[2,1,3,2] [6,4,7,5,2,8,1,3]=>1011010=>[1,2,1,2,2] [7,4,8,5,2,6,1,3]=>1011010=>[1,2,1,2,2] [5,8,2,6,3,7,1,4]=>0101010=>[2,2,2,2] [3,8,6,2,4,7,1,5]=>0110010=>[2,1,3,2] [3,8,5,7,1,2,4,6]=>0101000=>[2,2,4] [2,8,5,7,1,3,4,6]=>0101000=>[2,2,4] [4,8,6,2,7,1,3,5]=>0110100=>[2,1,2,3] [2,6,5,8,1,3,4,7]=>0101000=>[2,2,4] [3,6,5,8,1,2,4,7]=>0101000=>[2,2,4] [2,5,7,4,8,1,3,6]=>0010100=>[3,2,3] [5,4,6,7,2,8,1,3]=>1001010=>[1,3,2,2] [3,5,7,1,4,8,2,6]=>0010010=>[3,3,2] [5,3,7,2,4,8,1,6]=>1010010=>[1,2,3,2] [5,4,7,3,8,1,2,6]=>1010100=>[1,2,2,3] [7,4,6,3,8,1,2,5]=>1010100=>[1,2,2,3] [8,4,6,3,7,1,2,5]=>1010100=>[1,2,2,3] [8,4,1,6,7,2,3,5]=>1100100=>[1,1,3,3] [7,4,1,6,8,2,3,5]=>1100100=>[1,1,3,3] [6,5,3,7,1,8,2,4]=>1101010=>[1,1,2,2,2] [6,5,1,2,7,8,3,4]=>1100010=>[1,1,4,2] [5,3,6,4,7,8,1,2]=>1010010=>[1,2,3,2] [6,3,7,4,8,5,1,2]=>1010110=>[1,2,2,1,2] [4,7,1,5,8,6,2,3]=>0100110=>[2,3,1,2] [7,5,1,2,8,6,3,4]=>1100110=>[1,1,3,1,2] [7,5,3,8,1,6,2,4]=>1101010=>[1,1,2,2,2] [7,6,1,8,5,2,3,4]=>1101100=>[1,1,2,1,3] [8,6,1,7,5,2,3,4]=>1101100=>[1,1,2,1,3] [5,7,2,8,1,6,3,4]=>0101010=>[2,2,2,2] [6,3,7,8,5,1,2,4]=>1001100=>[1,3,1,3] [3,6,8,2,7,1,4,5]=>0010100=>[3,2,3] [2,4,8,7,1,3,5,6]=>0011000=>[3,1,4] [4,3,8,7,1,2,5,6]=>1011000=>[1,2,1,4] [5,3,8,7,1,2,4,6]=>1011000=>[1,2,1,4] [8,3,7,6,1,2,4,5]=>1011000=>[1,2,1,4] [8,4,7,6,1,2,3,5]=>1011000=>[1,2,1,4] [5,4,8,7,1,2,3,6]=>1011000=>[1,2,1,4] [3,5,8,7,1,2,4,6]=>0011000=>[3,1,4] [2,5,8,7,1,3,4,6]=>0011000=>[3,1,4] [4,6,8,2,7,1,3,5]=>0010100=>[3,2,3] [6,8,4,7,5,1,2,3]=>0101100=>[2,2,1,3] [5,8,7,1,6,2,3,4]=>0110100=>[2,1,2,3] [2,8,7,6,1,3,4,5]=>0111000=>[2,1,1,4] [3,8,7,6,1,2,4,5]=>0111000=>[2,1,1,4] [4,8,7,6,1,2,3,5]=>0111000=>[2,1,1,4] [5,6,3,1,4,2,8,7]=>0110101=>[2,1,2,2,1] [7,5,3,8,2,1,6,4]=>1101101=>[1,1,2,1,2,1] [3,8,7,4,5,1,6,2]=>0110101=>[2,1,2,2,1] [6,7,1,4,5,8,2,3]=>0100010=>[2,4,2] [2,1,7,8,5,3,6,4]=>1001101=>[1,3,1,2,1] [5,7,3,8,1,2,6,4]=>0101001=>[2,2,3,1] [8,7,1,4,5,3,2,6]=>1100110=>[1,1,3,1,2] [2,7,8,4,1,6,5,3]=>0011011=>[3,1,2,1,1] [7,1,8,4,2,6,5,3]=>1011011=>[1,2,1,2,1,1] [7,5,1,4,8,6,3,2]=>1100111=>[1,1,3,1,1,1] [6,5,3,1,8,4,7,2]=>1110101=>[1,1,1,2,2,1] [6,4,3,8,1,5,7,2]=>1101001=>[1,1,2,3,1] [8,6,3,1,2,5,7,4]=>1110001=>[1,1,1,4,1] [8,7,1,4,2,6,5,3]=>1101011=>[1,1,2,2,1,1] [7,3,8,4,1,6,5,2]=>1011011=>[1,2,1,2,1,1] [2,3,4,5,6,7,8,1,9]=>00000010=>[7,2] [2,3,4,5,6,8,9,1,7]=>00000010=>[7,2] [2,3,4,5,7,8,9,1,6]=>00000010=>[7,2] [2,3,4,6,7,8,9,1,5]=>00000010=>[7,2] [2,3,5,6,7,8,9,1,4]=>00000010=>[7,2] [2,4,5,6,7,8,9,1,3]=>00000010=>[7,2] [3,4,5,6,7,8,9,1,2]=>00000010=>[7,2] [2,3,4,5,6,7,8,9,10,1]=>000000001=>[9,1] [2,3,4,5,6,7,8,9,1,10]=>000000010=>[8,2] [2,3,4,5,6,7,1,8,9]=>00000100=>[6,3] [2,3,4,5,6,7,8,10,1,9]=>000000010=>[8,2] [2,3,4,5,6,1,9,7,8]=>00001010=>[5,2,2] [2,3,4,5,6,7,9,10,1,8]=>000000010=>[8,2] [2,3,4,5,1,8,9,6,7]=>00010010=>[4,3,2] [2,3,4,5,6,8,9,10,1,7]=>000000010=>[8,2] [2,3,4,1,7,8,9,5,6]=>00100010=>[3,4,2] [2,3,4,5,7,8,9,10,1,6]=>000000010=>[8,2] [2,3,1,6,7,8,9,4,5]=>01000010=>[2,5,2] [2,3,4,6,7,8,9,10,1,5]=>000000010=>[8,2] [2,1,5,6,7,8,9,3,4]=>10000010=>[1,6,2] [2,3,5,6,7,8,9,10,1,4]=>000000010=>[8,2] [1,4,5,6,7,8,9,2,3]=>00000010=>[7,2] [2,4,5,6,7,8,9,10,1,3]=>000000010=>[8,2] [3,4,5,6,7,8,9,10,1,2]=>000000010=>[8,2] [3,6,4,5,7,2,8,1]=>0100101=>[2,3,2,1] [5,3,2,7,4,6,8,1]=>1101001=>[1,1,2,3,1] [7,5,3,6,2,4,8,1]=>1101001=>[1,1,2,3,1] [6,3,2,5,1,8,4,7]=>1101010=>[1,1,2,2,2] [8,5,3,6,2,7,1,4]=>1101010=>[1,1,2,2,2] [8,2,6,3,4,7,1,5]=>1010010=>[1,2,3,2] [7,2,6,3,4,5,8,1]=>1010001=>[1,2,4,1] [6,2,7,3,4,5,8,1]=>1010001=>[1,2,4,1] [4,2,5,7,3,6,8,1]=>1001001=>[1,3,3,1] [5,4,7,6,2,3,8,1]=>1011001=>[1,2,1,3,1] [6,7,3,5,2,4,8,1]=>0101001=>[2,2,3,1] [3,7,6,2,4,5,8,1]=>0110001=>[2,1,4,1] [2,7,6,3,4,5,8,1]=>0110001=>[2,1,4,1] [6,5,3,1,2,8,4,7]=>1110010=>[1,1,1,3,2] [8,6,5,2,3,7,1,4]=>1110010=>[1,1,1,3,2] [8,5,2,1,7,3,4,6]=>1110100=>[1,1,1,2,3] [7,5,2,1,8,3,4,6]=>1110100=>[1,1,1,2,3] [1,6,3,2,8,4,5,7]=>0110100=>[2,1,2,3] [5,6,2,3,1,8,4,7]=>0101010=>[2,2,2,2] [4,2,6,5,1,8,3,7]=>1011010=>[1,2,1,2,2] [5,4,8,6,2,7,1,3]=>1011010=>[1,2,1,2,2] [6,8,3,5,2,7,1,4]=>0101010=>[2,2,2,2] [7,8,5,2,3,6,1,4]=>0110010=>[2,1,3,2] [6,8,2,1,7,3,4,5]=>0110100=>[2,1,2,3] [1,8,6,3,7,2,4,5]=>0110100=>[2,1,2,3] [1,8,2,7,3,4,5,6]=>0101000=>[2,2,4] [2,8,1,7,3,4,5,6]=>0101000=>[2,2,4] [3,8,6,1,7,2,4,5]=>0110100=>[2,1,2,3] [4,8,1,5,7,2,3,6]=>0100100=>[2,3,3] [4,2,8,3,7,1,5,6]=>1010100=>[1,2,2,3] [8,1,2,7,3,4,5,6]=>1001000=>[1,3,4] [3,6,2,7,1,8,4,5]=>0101010=>[2,2,2,2] [6,3,7,1,2,8,4,5]=>1010010=>[1,2,3,2] [7,2,6,1,8,3,4,5]=>1010100=>[1,2,2,3] [7,3,1,5,8,2,4,6]=>1100100=>[1,1,3,3] [3,2,1,5,8,4,6,7]=>1100100=>[1,1,3,3] [5,4,1,3,6,8,2,7]=>1100010=>[1,1,4,2] [1,5,3,4,6,8,2,7]=>0100010=>[2,4,2] [4,3,5,1,6,8,2,7]=>1010010=>[1,2,3,2] [5,4,6,3,8,7,1,2]=>1010110=>[1,2,2,1,2] [3,6,4,5,8,7,1,2]=>0100110=>[2,3,1,2] [6,5,3,4,8,7,1,2]=>1100110=>[1,1,3,1,2] [5,3,2,8,7,1,4,6]=>1101100=>[1,1,2,1,3] [5,3,1,8,7,2,4,6]=>1101100=>[1,1,2,1,3] [8,5,3,7,6,1,2,4]=>1101100=>[1,1,2,1,3] [6,1,8,3,7,2,4,5]=>1010100=>[1,2,2,3] [6,3,8,1,7,2,4,5]=>1010100=>[1,2,2,3] [7,6,8,2,3,5,1,4]=>1010010=>[1,2,3,2] [3,7,8,2,4,6,1,5]=>0010010=>[3,3,2] [6,7,3,8,2,5,1,4]=>0101010=>[2,2,2,2] [5,4,7,8,2,6,1,3]=>1001010=>[1,3,2,2] [4,2,5,8,7,1,3,6]=>1001100=>[1,3,1,3] [2,3,8,7,1,4,5,6]=>0011000=>[3,1,4] [7,2,8,6,1,3,4,5]=>1011000=>[1,2,1,4] [2,1,8,7,3,4,5,6]=>1011000=>[1,2,1,4] [8,2,7,6,1,3,4,5]=>1011000=>[1,2,1,4] [1,2,8,7,3,4,5,6]=>0011000=>[3,1,4] [1,3,8,7,2,4,5,6]=>0011000=>[3,1,4] [1,7,8,3,6,2,4,5]=>0010100=>[3,2,3] [4,1,5,8,7,2,3,6]=>1001100=>[1,3,1,3] [5,4,8,7,6,1,2,3]=>1011100=>[1,2,1,1,3] [6,8,3,7,5,1,2,4]=>0101100=>[2,2,1,3] [7,8,6,2,5,1,3,4]=>0110100=>[2,1,2,3] [8,1,6,7,3,2,5,4]=>1001101=>[1,3,1,2,1] [8,1,6,7,3,2,4,5]=>1001100=>[1,3,1,3] [8,1,5,3,7,2,4,6]=>1010100=>[1,2,2,3] [8,1,5,3,6,2,4,7]=>1010100=>[1,2,2,3] [7,5,1,3,6,2,4,8]=>1100100=>[1,1,3,3] [7,5,8,3,6,2,4,1]=>1010101=>[1,2,2,2,1] [7,4,8,3,2,6,5,1]=>1011011=>[1,2,1,2,1,1] [7,4,1,3,2,6,5,8]=>1101010=>[1,1,2,2,2] [8,1,4,3,2,6,5,7]=>1011010=>[1,2,1,2,2] [8,1,4,3,2,7,5,6]=>1011010=>[1,2,1,2,2] [8,1,4,3,2,7,6,5]=>1011011=>[1,2,1,2,1,1] [8,1,5,4,6,7,2,3]=>1010010=>[1,2,3,2] [8,1,5,3,6,2,7,4]=>1010101=>[1,2,2,2,1] [8,1,4,3,2,6,7,5]=>1011001=>[1,2,1,3,1] [8,1,4,3,2,5,7,6]=>1011001=>[1,2,1,3,1] [8,1,4,3,2,5,6,7]=>1011000=>[1,2,1,4] [7,4,1,3,2,5,6,8]=>1101000=>[1,1,2,4] [7,4,8,3,2,5,6,1]=>1011001=>[1,2,1,3,1] [6,4,3,8,2,5,7,1]=>1101001=>[1,1,2,3,1] [6,4,3,1,2,5,8,7]=>1110001=>[1,1,1,4,1] [7,4,1,3,2,5,8,6]=>1101001=>[1,1,2,3,1] [7,4,1,3,2,6,8,5]=>1101001=>[1,1,2,3,1] [7,5,1,3,6,2,8,4]=>1100101=>[1,1,3,2,1] [7,5,1,4,6,8,2,3]=>1100010=>[1,1,4,2] [7,5,8,3,6,2,1,4]=>1010110=>[1,2,2,1,2] [7,4,8,3,2,6,1,5]=>1011010=>[1,2,1,2,2] [7,4,8,3,2,5,1,6]=>1011010=>[1,2,1,2,2] [6,4,3,8,2,5,1,7]=>1101010=>[1,1,2,2,2] [6,4,3,7,2,5,8,1]=>1101001=>[1,1,2,3,1] [5,4,3,2,8,6,1,7]=>1110110=>[1,1,1,2,1,2] [5,4,3,2,8,7,1,6]=>1110110=>[1,1,1,2,1,2] [6,5,3,8,7,2,1,4]=>1101110=>[1,1,2,1,1,2] [6,5,4,8,7,1,2,3]=>1101100=>[1,1,2,1,3] [6,5,4,1,7,8,2,3]=>1110010=>[1,1,1,3,2] [6,5,3,1,7,2,8,4]=>1110101=>[1,1,1,2,2,1] [6,4,3,1,2,7,8,5]=>1110001=>[1,1,1,4,1] [5,4,3,2,1,8,6,7]=>1111010=>[1,1,1,1,2,2] [6,5,3,1,8,2,7,4]=>1110101=>[1,1,1,2,2,1] [6,5,4,1,8,7,2,3]=>1110110=>[1,1,1,2,1,2] [7,5,1,4,8,6,2,3]=>1100110=>[1,1,3,1,2] [7,4,1,3,2,8,6,5]=>1101011=>[1,1,2,2,1,1] [7,4,1,3,2,8,5,6]=>1101010=>[1,1,2,2,2] [6,4,3,1,2,8,5,7]=>1110010=>[1,1,1,3,2] [6,4,3,1,2,7,5,8]=>1110010=>[1,1,1,3,2] [6,4,3,8,2,7,5,1]=>1101011=>[1,1,2,2,1,1] [6,5,3,8,7,2,4,1]=>1101101=>[1,1,2,1,2,1] [6,5,3,1,7,2,4,8]=>1110100=>[1,1,1,2,3] [6,5,3,1,8,2,4,7]=>1110100=>[1,1,1,2,3] [7,5,1,3,8,2,4,6]=>1100100=>[1,1,3,3] [7,6,1,8,3,2,4,5]=>1101100=>[1,1,2,1,3] [7,6,1,8,4,5,2,3]=>1101010=>[1,1,2,2,2] [7,6,8,1,4,5,2,3]=>1010010=>[1,2,3,2] [7,6,8,1,3,2,5,4]=>1010101=>[1,2,2,2,1] [6,5,3,7,8,2,4,1]=>1100101=>[1,1,3,2,1] [6,4,3,7,2,8,5,1]=>1101011=>[1,1,2,2,1,1] [6,4,3,7,2,1,5,8]=>1101100=>[1,1,2,1,3] [7,4,8,3,2,1,5,6]=>1011100=>[1,2,1,1,3] [7,4,8,3,2,1,6,5]=>1011101=>[1,2,1,1,2,1] [7,5,8,3,1,2,6,4]=>1011001=>[1,2,1,3,1] [7,5,8,4,1,6,2,3]=>1011010=>[1,2,1,2,2] [6,5,4,8,1,7,2,3]=>1101010=>[1,1,2,2,2] [6,5,3,8,1,2,7,4]=>1101001=>[1,1,2,3,1] [5,4,3,2,8,1,7,6]=>1110101=>[1,1,1,2,2,1] [6,4,3,7,2,1,8,5]=>1101101=>[1,1,2,1,2,1] [6,5,3,7,1,2,8,4]=>1101001=>[1,1,2,3,1] [6,5,4,7,1,8,2,3]=>1101010=>[1,1,2,2,2] [6,5,3,7,8,2,1,4]=>1100110=>[1,1,3,1,2] [6,4,3,7,2,8,1,5]=>1101010=>[1,1,2,2,2] [5,4,3,2,7,8,1,6]=>1110010=>[1,1,1,3,2] [5,4,3,2,6,8,1,7]=>1110010=>[1,1,1,3,2] [5,6,2,1,3,4,8,7]=>0110001=>[2,1,4,1] [5,8,2,7,4,1,3,6]=>0101100=>[2,2,1,3] [5,3,7,8,2,1,4,6]=>1001100=>[1,3,1,3] [7,6,1,2,5,8,3,4]=>1100010=>[1,1,4,2] [2,1,7,8,4,3,5,6]=>1001100=>[1,3,1,3] [8,3,7,4,1,5,6,2]=>1011001=>[1,2,1,3,1] [7,8,1,2,5,4,6,3]=>0100101=>[2,3,2,1] [2,6,8,3,1,4,7,5]=>0011001=>[3,1,3,1] [6,1,8,3,2,4,5,7]=>1011000=>[1,2,1,4] [8,4,1,3,7,6,2,5]=>1100110=>[1,1,3,1,2] [5,8,7,4,2,1,6,3]=>0111101=>[2,1,1,1,2,1] [7,5,1,6,8,3,4,2]=>1100101=>[1,1,3,2,1] [6,5,2,1,8,7,4,3]=>1110111=>[1,1,1,2,1,1,1] [4,7,2,8,1,3,6,5]=>0101001=>[2,2,3,1] [7,3,8,6,1,2,5,4]=>1011001=>[1,2,1,3,1] [3,4,7,1,8,2,6,5]=>0010101=>[3,2,2,1] [1,8,2,4,3,5,6,7]=>0101000=>[2,2,4] [1,7,2,4,3,5,6,8]=>0101000=>[2,2,4] [1,6,2,4,3,5,7,8]=>0101000=>[2,2,4] [1,5,2,4,3,6,7,8]=>0101000=>[2,2,4] [1,6,2,5,3,4,7,8]=>0101000=>[2,2,4] [1,7,2,5,3,4,6,8]=>0101000=>[2,2,4] [1,8,2,5,3,4,6,7]=>0101000=>[2,2,4] [1,8,2,6,3,4,5,7]=>0101000=>[2,2,4] [1,7,2,6,3,4,5,8]=>0101000=>[2,2,4] [1,8,2,7,3,5,4,6]=>0101010=>[2,2,2,2] [1,7,2,8,3,5,4,6]=>0101010=>[2,2,2,2] [1,6,2,8,3,5,4,7]=>0101010=>[2,2,2,2] [1,5,2,8,3,6,4,7]=>0101010=>[2,2,2,2] [1,4,2,8,3,6,5,7]=>0101010=>[2,2,2,2] [1,3,2,8,4,6,5,7]=>0101010=>[2,2,2,2] [1,2,3,8,4,6,5,7]=>0001010=>[4,2,2] [1,2,3,7,4,6,5,8]=>0001010=>[4,2,2] [1,3,2,7,4,6,5,8]=>0101010=>[2,2,2,2] [1,4,2,7,3,6,5,8]=>0101010=>[2,2,2,2] [1,5,2,7,3,6,4,8]=>0101010=>[2,2,2,2] [1,6,2,7,3,5,4,8]=>0101010=>[2,2,2,2] [1,7,2,6,3,5,4,8]=>0101010=>[2,2,2,2] [1,8,2,6,3,5,4,7]=>0101010=>[2,2,2,2] [1,8,2,5,3,6,4,7]=>0101010=>[2,2,2,2] [1,7,2,5,3,6,4,8]=>0101010=>[2,2,2,2] [1,6,2,5,3,7,4,8]=>0101010=>[2,2,2,2] [1,5,2,4,3,7,6,8]=>0101010=>[2,2,2,2] [1,6,2,4,3,7,5,8]=>0101010=>[2,2,2,2] [1,7,2,4,3,6,5,8]=>0101010=>[2,2,2,2] [1,8,2,4,3,6,5,7]=>0101010=>[2,2,2,2] [1,8,2,3,4,6,5,7]=>0100010=>[2,4,2] [1,7,2,3,4,6,5,8]=>0100010=>[2,4,2] [1,8,2,3,4,7,5,6]=>0100010=>[2,4,2] [1,8,2,4,3,7,5,6]=>0101010=>[2,2,2,2] [1,7,2,4,3,8,5,6]=>0101010=>[2,2,2,2] [1,6,2,4,3,8,5,7]=>0101010=>[2,2,2,2] [1,5,2,4,3,8,6,7]=>0101010=>[2,2,2,2] [1,6,2,5,3,8,4,7]=>0101010=>[2,2,2,2] [1,7,2,5,3,8,4,6]=>0101010=>[2,2,2,2] [1,8,2,5,3,7,4,6]=>0101010=>[2,2,2,2] [1,8,2,6,3,7,4,5]=>0101010=>[2,2,2,2] [1,7,2,6,3,8,4,5]=>0101010=>[2,2,2,2] [1,2,3,8,4,7,5,6]=>0001010=>[4,2,2] [1,3,2,8,4,7,5,6]=>0101010=>[2,2,2,2] [1,4,2,8,3,7,5,6]=>0101010=>[2,2,2,2] [1,5,2,8,3,7,4,6]=>0101010=>[2,2,2,2] [1,6,2,8,3,7,4,5]=>0101010=>[2,2,2,2] [1,7,2,8,3,6,4,5]=>0101010=>[2,2,2,2] [1,8,2,7,3,6,4,5]=>0101010=>[2,2,2,2] [4,6,3,7,2,5,1,8]=>0101010=>[2,2,2,2] [4,6,3,7,5,2,1,8]=>0101110=>[2,2,1,1,2] [4,6,3,8,5,1,7,2]=>0101101=>[2,2,1,2,1] [4,6,3,8,5,1,2,7]=>0101100=>[2,2,1,3] [5,6,8,3,4,1,2,7]=>0010100=>[3,2,3] [5,6,8,3,4,1,7,2]=>0010101=>[3,2,2,1] [4,6,2,7,5,3,1,8]=>0101110=>[2,2,1,1,2] [5,6,7,2,4,3,1,8]=>0010110=>[3,2,1,2] [5,6,8,4,3,1,7,2]=>0011101=>[3,1,1,2,1] [5,6,8,4,3,1,2,7]=>0011100=>[3,1,1,3] [5,7,8,4,1,6,2,3]=>0011010=>[3,1,2,2] [5,7,8,4,1,6,3,2]=>0011011=>[3,1,2,1,1] [5,7,8,4,1,3,6,2]=>0011001=>[3,1,3,1] [5,6,8,4,2,1,7,3]=>0011101=>[3,1,1,2,1] [5,6,8,2,4,1,7,3]=>0010101=>[3,2,2,1] [4,6,2,8,5,1,7,3]=>0101101=>[2,2,1,2,1] [3,2,6,8,5,1,7,4]=>1001101=>[1,3,1,2,1] [3,2,6,8,5,1,4,7]=>1001100=>[1,3,1,3] [4,6,2,8,5,1,3,7]=>0101100=>[2,2,1,3] [5,6,8,2,4,1,3,7]=>0010100=>[3,2,3] [5,6,8,4,2,1,3,7]=>0011100=>[3,1,1,3] [5,7,8,4,1,3,2,6]=>0011010=>[3,1,2,2] [5,7,8,4,1,2,6,3]=>0011001=>[3,1,3,1] [5,7,8,4,1,2,3,6]=>0011000=>[3,1,4] [6,7,8,1,5,2,3,4]=>0010100=>[3,2,3] [6,7,8,1,5,2,4,3]=>0010101=>[3,2,2,1] [6,7,8,1,5,3,2,4]=>0010110=>[3,2,1,2] [6,7,8,1,3,5,2,4]=>0010010=>[3,3,2] [5,7,8,2,1,6,3,4]=>0011010=>[3,1,2,2] [4,7,2,8,1,6,3,5]=>0101010=>[2,2,2,2] [3,2,7,8,1,6,4,5]=>1001010=>[1,3,2,2] [3,2,7,8,1,6,5,4]=>1001011=>[1,3,2,1,1] [4,7,2,8,1,6,5,3]=>0101011=>[2,2,2,1,1] [5,7,8,2,1,6,4,3]=>0011011=>[3,1,2,1,1] [6,7,8,1,3,5,4,2]=>0010011=>[3,3,1,1] [6,7,8,1,5,3,4,2]=>0010101=>[3,2,2,1] [6,7,8,1,5,4,3,2]=>0010111=>[3,2,1,1,1] [6,7,8,1,5,4,2,3]=>0010110=>[3,2,1,2] [6,7,8,1,4,5,2,3]=>0010010=>[3,3,2] [6,7,8,1,4,5,3,2]=>0010011=>[3,3,1,1] [6,7,8,1,4,3,5,2]=>0010101=>[3,2,2,1] [6,7,8,1,3,4,5,2]=>0010001=>[3,4,1] [5,7,8,2,1,4,6,3]=>0011001=>[3,1,3,1] [4,7,2,8,1,5,6,3]=>0101001=>[2,2,3,1] [3,2,7,8,1,5,6,4]=>1001001=>[1,3,3,1] [3,2,6,8,4,1,7,5]=>1001101=>[1,3,1,2,1] [4,6,2,8,3,1,7,5]=>0101101=>[2,2,1,2,1] [5,6,8,3,2,1,7,4]=>0011101=>[3,1,1,2,1] [5,7,8,3,1,4,6,2]=>0011001=>[3,1,3,1] [5,7,8,3,1,6,4,2]=>0011011=>[3,1,2,1,1] [5,7,8,3,1,6,2,4]=>0011010=>[3,1,2,2] [4,7,3,8,1,6,2,5]=>0101010=>[2,2,2,2] [4,7,3,8,1,6,5,2]=>0101011=>[2,2,2,1,1] [4,7,3,8,1,5,6,2]=>0101001=>[2,2,3,1] [4,6,3,8,2,1,7,5]=>0101101=>[2,2,1,2,1] [4,5,3,2,8,1,7,6]=>0110101=>[2,1,2,2,1] [4,5,2,3,8,1,7,6]=>0100101=>[2,3,2,1] [3,2,5,4,8,1,7,6]=>1010101=>[1,2,2,2,1] [4,5,3,2,8,1,6,7]=>0110100=>[2,1,2,3] [4,6,3,8,2,1,5,7]=>0101100=>[2,2,1,3] [4,7,3,8,1,5,2,6]=>0101010=>[2,2,2,2] [4,7,3,8,1,2,6,5]=>0101001=>[2,2,3,1] [4,7,3,8,1,2,5,6]=>0101000=>[2,2,4] [5,7,8,3,1,2,4,6]=>0011000=>[3,1,4] [5,7,8,3,1,2,6,4]=>0011001=>[3,1,3,1] [5,7,8,3,1,4,2,6]=>0011010=>[3,1,2,2] [5,6,8,3,2,1,4,7]=>0011100=>[3,1,1,3] [3,2,7,8,1,5,4,6]=>1001010=>[1,3,2,2] [5,7,8,2,1,4,3,6]=>0011010=>[3,1,2,2] [6,7,8,1,3,4,2,5]=>0010010=>[3,3,2] [6,7,8,1,4,3,2,5]=>0010110=>[3,2,1,2] [6,7,8,1,4,2,5,3]=>0010101=>[3,2,2,1] [6,7,8,1,4,2,3,5]=>0010100=>[3,2,3] [6,7,8,1,2,5,3,4]=>0010010=>[3,3,2] [6,7,8,1,2,5,4,3]=>0010011=>[3,3,1,1] [6,7,8,1,2,4,5,3]=>0010001=>[3,4,1] [6,7,8,1,3,2,5,4]=>0010101=>[3,2,2,1] [5,7,8,2,1,3,6,4]=>0011001=>[3,1,3,1] [3,2,7,8,1,4,6,5]=>1001001=>[1,3,3,1] [6,7,8,1,3,2,4,5]=>0010100=>[3,2,3] [6,7,8,1,2,4,3,5]=>0010010=>[3,3,2] [6,7,8,1,2,3,5,4]=>0010001=>[3,4,1] [7,2,8,5,1,6,4,3]=>1011011=>[1,2,1,2,1,1] [1,3,7,5,2,6,4,8]=>0011010=>[3,1,2,2] [1,3,7,5,4,2,6,8]=>0011100=>[3,1,1,3] [7,2,8,5,4,1,6,3]=>1011101=>[1,2,1,1,2,1] [2,8,5,4,3,1,7,6]=>0111101=>[2,1,1,1,2,1] [2,8,4,5,6,1,7,3]=>0100101=>[2,3,2,1] [2,8,6,5,7,3,1,4]=>0110110=>[2,1,2,1,2] [2,8,4,5,3,7,1,6]=>0101010=>[2,2,2,2] [2,8,4,3,5,6,1,7]=>0110010=>[2,1,3,2] [7,2,8,4,5,6,1,3]=>1010010=>[1,2,3,2] [1,6,3,7,5,2,4,8]=>0101100=>[2,2,1,3] [6,2,3,8,5,1,7,4]=>1001101=>[1,3,1,2,1] [6,3,2,8,5,1,4,7]=>1101100=>[1,1,2,1,3] [7,4,8,2,5,6,3,1]=>1010011=>[1,2,3,1,1] [7,4,8,5,2,1,3,6]=>1011100=>[1,2,1,1,3] [6,4,8,5,1,3,7,2]=>1011001=>[1,2,1,3,1] [6,3,7,5,2,1,8,4]=>1011101=>[1,2,1,1,2,1] [4,3,7,5,1,2,8,6]=>1011001=>[1,2,1,3,1] [4,3,7,1,5,6,8,2]=>1010001=>[1,2,4,1] [3,6,1,7,5,2,8,4]=>0101101=>[2,2,1,2,1] [3,4,1,2,7,6,8,5]=>0100101=>[2,3,2,1] [3,4,2,1,7,5,8,6]=>0110101=>[2,1,2,2,1] [3,6,5,7,1,4,8,2]=>0101001=>[2,2,3,1] [6,5,2,7,4,1,8,3]=>1101101=>[1,1,2,1,2,1] [3,5,2,6,4,8,7,1]=>0101011=>[2,2,2,1,1] [5,3,1,8,6,4,7,2]=>1101101=>[1,1,2,1,2,1] [5,6,1,8,7,2,4,3]=>0101101=>[2,2,1,2,1] [6,3,5,8,2,7,4,1]=>1001011=>[1,3,2,1,1] [6,5,8,4,2,3,7,1]=>1011001=>[1,2,1,3,1] [6,2,5,8,3,7,1,4]=>1001010=>[1,3,2,2] [1,6,5,7,3,4,2,8]=>0101010=>[2,2,2,2] [1,5,2,7,4,6,3,8]=>0101010=>[2,2,2,2] [5,2,1,8,7,6,3,4]=>1101110=>[1,1,2,1,1,2] [7,1,3,8,4,6,2,5]=>1001010=>[1,3,2,2] [2,3,4,8,6,1,7,5]=>0001101=>[4,1,2,1] [2,3,4,8,6,5,1,7]=>0001110=>[4,1,1,2] [2,7,3,5,8,6,1,4]=>0100110=>[2,3,1,2] [3,2,4,7,8,6,1,5]=>1000110=>[1,4,1,2] [1,5,4,6,2,7,3,8]=>0101010=>[2,2,2,2] [5,2,4,7,1,8,3,6]=>1001010=>[1,3,2,2] [5,3,6,4,1,8,7,2]=>1011011=>[1,2,1,2,1,1] [5,3,6,1,4,8,2,7]=>1010010=>[1,2,3,2] [7,3,5,6,8,4,2,1]=>1000111=>[1,4,1,1,1] [6,3,5,1,8,2,7,4]=>1010101=>[1,2,2,2,1] [2,6,1,5,8,4,7,3]=>0100101=>[2,3,2,1] [2,7,6,5,8,3,4,1]=>0110101=>[2,1,2,2,1] [5,7,1,6,3,8,4,2]=>0101011=>[2,2,2,1,1] [3,2,4,1,7,8,5,6]=>1010010=>[1,2,3,2] [3,1,4,2,7,8,6,5]=>1010011=>[1,2,3,1,1] [5,1,4,7,2,8,6,3]=>1001011=>[1,3,2,1,1] [3,6,4,7,8,2,5,1]=>0100101=>[2,3,2,1] [3,1,4,6,8,5,7,2]=>1000101=>[1,4,2,1] [6,3,4,5,7,1,8,2]=>1000101=>[1,4,2,1] [2,5,4,6,1,7,8,3]=>0101001=>[2,2,3,1] [7,2,1,4,3,6,5,8]=>1101010=>[1,1,2,2,2] [7,3,4,1,2,6,5,8]=>1010010=>[1,2,3,2] [7,4,3,2,1,6,5,8]=>1111010=>[1,1,1,1,2,2] [7,6,3,2,5,4,1,8]=>1110110=>[1,1,1,2,1,2] [6,7,3,2,5,4,8,1]=>0110101=>[2,1,2,2,1] [1,8,3,2,5,4,7,6]=>0110101=>[2,1,2,2,1] [1,8,4,5,2,3,7,6]=>0101001=>[2,2,3,1] [7,3,5,1,6,2,4,8]=>1010100=>[1,2,2,3] [7,2,1,5,6,3,4,8]=>1100100=>[1,1,3,3] [7,2,1,6,5,4,3,8]=>1101110=>[1,1,2,1,1,2] [7,3,6,1,5,4,2,8]=>1010110=>[1,2,2,1,2] [7,4,6,5,1,3,2,8]=>1011010=>[1,2,1,2,2] [1,8,5,4,3,2,7,6]=>0111101=>[2,1,1,1,2,1] [1,8,6,4,3,7,2,5]=>0111010=>[2,1,1,2,2] [6,5,7,4,3,1,8,2]=>1011101=>[1,2,1,1,2,1] [6,4,7,5,1,3,8,2]=>1011001=>[1,2,1,3,1] [6,3,7,1,5,4,8,2]=>1010101=>[1,2,2,2,1] [6,2,1,7,5,4,8,3]=>1101101=>[1,1,2,1,2,1] [3,2,1,8,5,4,7,6]=>1101101=>[1,1,2,1,2,1] [2,3,8,1,5,4,7,6]=>0010101=>[3,2,2,1] [2,4,8,5,1,3,7,6]=>0011001=>[3,1,3,1] [2,5,8,4,3,1,7,6]=>0011101=>[3,1,1,2,1] [2,6,8,4,3,7,1,5]=>0011010=>[3,1,2,2] [2,7,8,4,3,6,5,1]=>0011011=>[3,1,2,1,1] [1,8,7,4,3,6,5,2]=>0111011=>[2,1,1,2,1,1] [1,8,7,5,6,3,4,2]=>0110101=>[2,1,2,2,1] [2,7,8,5,6,3,4,1]=>0010101=>[3,2,2,1] [2,6,8,5,7,3,1,4]=>0010110=>[3,2,1,2] [2,5,8,6,7,1,3,4]=>0010100=>[3,2,3] [2,4,8,6,1,7,3,5]=>0011010=>[3,1,2,2] [3,2,1,8,6,7,4,5]=>1101010=>[1,1,2,2,2] [5,2,1,7,6,8,4,3]=>1101011=>[1,1,2,2,1,1] [5,3,7,1,6,8,4,2]=>1010011=>[1,2,3,1,1] [5,4,7,6,1,8,3,2]=>1011011=>[1,2,1,2,1,1] [4,5,7,6,8,1,3,2]=>0010101=>[3,2,2,1] [4,6,7,5,8,3,1,2]=>0010110=>[3,2,1,2] [1,8,6,5,7,3,2,4]=>0110110=>[2,1,2,1,2] [1,8,5,6,7,2,3,4]=>0100100=>[2,3,3] [4,7,5,6,8,2,3,1]=>0100101=>[2,3,2,1] [4,6,5,7,8,2,1,3]=>0100110=>[2,3,1,2] [5,4,6,7,1,8,2,3]=>1001010=>[1,3,2,2] [5,3,6,1,7,8,2,4]=>1010010=>[1,2,3,2] [5,2,1,6,7,8,3,4]=>1100010=>[1,1,4,2] [6,2,1,5,7,3,8,4]=>1100101=>[1,1,3,2,1] [6,3,5,1,7,2,8,4]=>1010101=>[1,2,2,2,1] [6,4,5,7,1,2,8,3]=>1001001=>[1,3,3,1] [6,5,4,7,2,1,8,3]=>1101101=>[1,1,2,1,2,1] [5,6,4,7,2,8,1,3]=>0101010=>[2,2,2,2] [1,8,4,6,2,7,3,5]=>0101010=>[2,2,2,2] [1,8,3,2,6,7,4,5]=>0110010=>[2,1,3,2] [5,7,3,2,6,8,4,1]=>0110011=>[2,1,3,1,1] [5,6,3,2,7,8,1,4]=>0110010=>[2,1,3,2] [6,5,3,2,7,1,8,4]=>1110101=>[1,1,1,2,2,1] [6,4,3,2,1,7,8,5]=>1111001=>[1,1,1,1,3,1] [6,2,1,4,3,7,8,5]=>1101001=>[1,1,2,3,1] [5,2,1,4,3,8,7,6]=>1101011=>[1,1,2,2,1,1] [5,3,4,1,2,8,7,6]=>1010011=>[1,2,3,1,1] [4,6,3,2,8,7,1,5]=>0110110=>[2,1,2,1,2] [4,7,3,2,8,6,5,1]=>0110111=>[2,1,2,1,1,1] [1,8,3,2,7,6,5,4]=>0110111=>[2,1,2,1,1,1] [1,8,4,7,2,6,5,3]=>0101011=>[2,2,2,1,1] [3,7,4,8,2,6,5,1]=>0101011=>[2,2,2,1,1] [3,6,4,8,2,7,1,5]=>0101010=>[2,2,2,2] [3,5,4,8,2,1,7,6]=>0101101=>[2,2,1,2,1] [3,4,5,8,1,2,7,6]=>0001001=>[4,3,1] [4,3,5,1,8,2,7,6]=>1010101=>[1,2,2,2,1] [4,2,1,5,8,3,7,6]=>1100101=>[1,1,3,2,1] [4,2,1,6,8,7,3,5]=>1100110=>[1,1,3,1,2] [4,3,6,1,8,7,2,5]=>1010110=>[1,2,2,1,2] [3,4,6,8,1,7,2,5]=>0001010=>[4,2,2] [3,5,6,8,7,1,2,4]=>0001100=>[4,1,3] [3,6,5,8,7,2,1,4]=>0101110=>[2,2,1,1,2] [3,7,5,8,6,2,4,1]=>0101101=>[2,2,1,2,1] [1,8,5,7,6,2,4,3]=>0101101=>[2,2,1,2,1] [1,8,6,7,5,4,2,3]=>0101110=>[2,2,1,1,2] [3,6,7,8,5,4,1,2]=>0001110=>[4,1,1,2] [3,5,7,8,6,1,4,2]=>0001101=>[4,1,2,1] [3,4,7,8,1,6,5,2]=>0001011=>[4,2,1,1] [4,2,1,7,8,6,5,3]=>1100111=>[1,1,3,1,1,1] [2,3,8,1,7,6,5,4]=>0010111=>[3,2,1,1,1] [2,4,8,7,1,6,5,3]=>0011011=>[3,1,2,1,1] [2,5,8,7,6,1,4,3]=>0011101=>[3,1,1,2,1] [2,6,8,7,5,4,1,3]=>0011110=>[3,1,1,1,2] [2,1,4,3,6,5,8,7,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,6,5,8,7,12,11,10,9]=>10101010111=>[1,2,2,2,2,1,1,1] [2,1,4,3,6,5,10,9,8,7,12,11]=>10101011101=>[1,2,2,2,1,1,2,1] [2,1,4,3,6,5,12,9,8,11,10,7]=>10101011011=>[1,2,2,2,1,2,1,1] [2,1,4,3,8,7,6,5,10,9,12,11]=>10101110101=>[1,2,2,1,1,2,2,1] [2,1,4,3,8,7,6,5,12,11,10,9]=>10101110111=>[1,2,2,1,1,2,1,1,1] [2,1,4,3,10,7,6,9,8,5,12,11]=>10101101101=>[1,2,2,1,2,1,2,1] [2,1,4,3,12,7,6,9,8,11,10,5]=>10101101011=>[1,2,2,1,2,2,1,1] [2,1,4,3,12,9,8,7,6,11,10,5]=>10101111011=>[1,2,2,1,1,1,2,1,1] [2,1,4,3,12,11,8,7,10,9,6,5]=>10101110111=>[1,2,2,1,1,2,1,1,1] [2,1,4,3,12,11,10,9,8,7,6,5]=>10101111111=>[1,2,2,1,1,1,1,1,1,1] [2,1,6,5,4,3,8,7,10,9,12,11]=>10111010101=>[1,2,1,1,2,2,2,1] [2,1,6,5,4,3,8,7,12,11,10,9]=>10111010111=>[1,2,1,1,2,2,1,1,1] [2,1,6,5,4,3,10,9,8,7,12,11]=>10111011101=>[1,2,1,1,2,1,1,2,1] [2,1,6,5,4,3,12,9,8,11,10,7]=>10111011011=>[1,2,1,1,2,1,2,1,1] [2,1,8,5,4,7,6,3,10,9,12,11]=>10110110101=>[1,2,1,2,1,2,2,1] [2,1,8,5,4,7,6,3,12,11,10,9]=>10110110111=>[1,2,1,2,1,2,1,1,1] [2,1,10,5,4,7,6,9,8,3,12,11]=>10110101101=>[1,2,1,2,2,1,2,1] [2,1,12,5,4,7,6,9,8,11,10,3]=>10110101011=>[1,2,1,2,2,2,1,1] [2,1,10,5,4,9,8,7,6,3,12,11]=>10110111101=>[1,2,1,2,1,1,1,2,1] [2,1,12,5,4,9,8,7,6,11,10,3]=>10110111011=>[1,2,1,2,1,1,2,1,1] [2,1,12,5,4,11,8,7,10,9,6,3]=>10110110111=>[1,2,1,2,1,2,1,1,1] [2,1,8,7,6,5,4,3,12,11,10,9]=>10111110111=>[1,2,1,1,1,1,2,1,1,1] [2,1,10,7,6,5,4,9,8,3,12,11]=>10111101101=>[1,2,1,1,1,2,1,2,1] [2,1,12,7,6,5,4,9,8,11,10,3]=>10111101011=>[1,2,1,1,1,2,2,1,1] [2,1,12,7,6,5,4,11,10,9,8,3]=>10111101111=>[1,2,1,1,1,2,1,1,1,1] [2,1,10,9,6,5,8,7,4,3,12,11]=>10111011101=>[1,2,1,1,2,1,1,2,1] [2,1,12,9,6,5,8,7,4,11,10,3]=>10111011011=>[1,2,1,1,2,1,2,1,1] [2,1,12,11,6,5,8,7,10,9,4,3]=>10111010111=>[1,2,1,1,2,2,1,1,1] [2,1,10,9,8,7,6,5,4,3,12,11]=>10111111101=>[1,2,1,1,1,1,1,1,2,1] [2,1,12,11,8,7,6,5,10,9,4,3]=>10111110111=>[1,2,1,1,1,1,2,1,1,1] [2,1,12,11,10,7,6,9,8,5,4,3]=>10111101111=>[1,2,1,1,1,2,1,1,1,1] [2,1,12,11,10,9,8,7,6,5,4,3]=>10111111111=>[1,2,1,1,1,1,1,1,1,1,1] [4,3,2,1,6,5,8,7,12,11,10,9]=>11101010111=>[1,1,1,2,2,2,1,1,1] [4,3,2,1,6,5,10,9,8,7,12,11]=>11101011101=>[1,1,1,2,2,1,1,2,1] [4,3,2,1,6,5,12,9,8,11,10,7]=>11101011011=>[1,1,1,2,2,1,2,1,1] [4,3,2,1,8,7,6,5,10,9,12,11]=>11101110101=>[1,1,1,2,1,1,2,2,1] [4,3,2,1,8,7,6,5,12,11,10,9]=>11101110111=>[1,1,1,2,1,1,2,1,1,1] [4,3,2,1,10,7,6,9,8,5,12,11]=>11101101101=>[1,1,1,2,1,2,1,2,1] [4,3,2,1,12,7,6,9,8,11,10,5]=>11101101011=>[1,1,1,2,1,2,2,1,1] [4,3,2,1,12,7,6,11,10,9,8,5]=>11101101111=>[1,1,1,2,1,2,1,1,1,1] [4,3,2,1,10,9,8,7,6,5,12,11]=>11101111101=>[1,1,1,2,1,1,1,1,2,1] [4,3,2,1,12,9,8,7,6,11,10,5]=>11101111011=>[1,1,1,2,1,1,1,2,1,1] [4,3,2,1,12,11,8,7,10,9,6,5]=>11101110111=>[1,1,1,2,1,1,2,1,1,1] [6,3,2,5,4,1,8,7,10,9,12,11]=>11011010101=>[1,1,2,1,2,2,2,1] [6,3,2,5,4,1,8,7,12,11,10,9]=>11011010111=>[1,1,2,1,2,2,1,1,1] [6,3,2,5,4,1,10,9,8,7,12,11]=>11011011101=>[1,1,2,1,2,1,1,2,1] [6,3,2,5,4,1,12,9,8,11,10,7]=>11011011011=>[1,1,2,1,2,1,2,1,1] [8,3,2,5,4,7,6,1,10,9,12,11]=>11010110101=>[1,1,2,2,1,2,2,1] [8,3,2,5,4,7,6,1,12,11,10,9]=>11010110111=>[1,1,2,2,1,2,1,1,1] [10,3,2,5,4,7,6,9,8,1,12,11]=>11010101101=>[1,1,2,2,2,1,2,1] [12,3,2,5,4,7,6,9,8,11,10,1]=>11010101011=>[1,1,2,2,2,2,1,1] [10,3,2,5,4,9,8,7,6,1,12,11]=>11010111101=>[1,1,2,2,1,1,1,2,1] [12,3,2,5,4,9,8,7,6,11,10,1]=>11010111011=>[1,1,2,2,1,1,2,1,1] [12,3,2,5,4,11,8,7,10,9,6,1]=>11010110111=>[1,1,2,2,1,2,1,1,1] [8,3,2,7,6,5,4,1,10,9,12,11]=>11011110101=>[1,1,2,1,1,1,2,2,1] [8,3,2,7,6,5,4,1,12,11,10,9]=>11011110111=>[1,1,2,1,1,1,2,1,1,1] [10,3,2,7,6,5,4,9,8,1,12,11]=>11011101101=>[1,1,2,1,1,2,1,2,1] [12,3,2,7,6,5,4,9,8,11,10,1]=>11011101011=>[1,1,2,1,1,2,2,1,1] [12,3,2,7,6,5,4,11,10,9,8,1]=>11011101111=>[1,1,2,1,1,2,1,1,1,1] [10,3,2,9,6,5,8,7,4,1,12,11]=>11011011101=>[1,1,2,1,2,1,1,2,1] [12,3,2,9,6,5,8,7,4,11,10,1]=>11011011011=>[1,1,2,1,2,1,2,1,1] [12,3,2,11,6,5,8,7,10,9,4,1]=>11011010111=>[1,1,2,1,2,2,1,1,1] [12,3,2,9,8,7,6,5,4,11,10,1]=>11011111011=>[1,1,2,1,1,1,1,2,1,1] [12,3,2,11,8,7,6,5,10,9,4,1]=>11011110111=>[1,1,2,1,1,1,2,1,1,1] [12,3,2,11,10,7,6,9,8,5,4,1]=>11011101111=>[1,1,2,1,1,2,1,1,1,1] [12,3,2,11,10,9,8,7,6,5,4,1]=>11011111111=>[1,1,2,1,1,1,1,1,1,1,1] [6,5,4,3,2,1,12,11,10,9,8,7]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,5,4,3,2,7,6,1,12,11,10,9]=>11110110111=>[1,1,1,1,2,1,2,1,1,1] [12,5,4,3,2,7,6,11,10,9,8,1]=>11110101111=>[1,1,1,1,2,2,1,1,1,1] [10,5,4,3,2,9,8,7,6,1,12,11]=>11110111101=>[1,1,1,1,2,1,1,1,2,1] [12,5,4,3,2,9,8,7,6,11,10,1]=>11110111011=>[1,1,1,1,2,1,1,2,1,1] [12,5,4,3,2,11,8,7,10,9,6,1]=>11110110111=>[1,1,1,1,2,1,2,1,1,1] [8,7,4,3,6,5,2,1,10,9,12,11]=>11101110101=>[1,1,1,2,1,1,2,2,1] [8,7,4,3,6,5,2,1,12,11,10,9]=>11101110111=>[1,1,1,2,1,1,2,1,1,1] [10,7,4,3,6,5,2,9,8,1,12,11]=>11101101101=>[1,1,1,2,1,2,1,2,1] [12,7,4,3,6,5,2,9,8,11,10,1]=>11101101011=>[1,1,1,2,1,2,2,1,1] [12,7,4,3,6,5,2,11,10,9,8,1]=>11101101111=>[1,1,1,2,1,2,1,1,1,1] [10,9,4,3,6,5,8,7,2,1,12,11]=>11101011101=>[1,1,1,2,2,1,1,2,1] [12,9,4,3,6,5,8,7,2,11,10,1]=>11101011011=>[1,1,1,2,2,1,2,1,1] [12,11,4,3,6,5,8,7,10,9,2,1]=>11101010111=>[1,1,1,2,2,2,1,1,1] [10,9,4,3,8,7,6,5,2,1,12,11]=>11101111101=>[1,1,1,2,1,1,1,1,2,1] [12,9,4,3,8,7,6,5,2,11,10,1]=>11101111011=>[1,1,1,2,1,1,1,2,1,1] [12,11,4,3,8,7,6,5,10,9,2,1]=>11101110111=>[1,1,1,2,1,1,2,1,1,1] [12,11,4,3,10,7,6,9,8,5,2,1]=>11101101111=>[1,1,1,2,1,2,1,1,1,1] [12,11,6,5,4,3,10,9,8,7,2,1]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,8,5,4,7,6,3,2,1,12,11]=>11110111101=>[1,1,1,1,2,1,1,1,2,1] [12,9,8,5,4,7,6,3,2,11,10,1]=>11110111011=>[1,1,1,1,2,1,1,2,1,1] [12,11,8,5,4,7,6,3,10,9,2,1]=>11110110111=>[1,1,1,1,2,1,2,1,1,1] [12,11,10,5,4,7,6,9,8,3,2,1]=>11110101111=>[1,1,1,1,2,2,1,1,1,1] [10,9,8,7,6,5,4,3,2,1,12,11]=>11111111101=>[1,1,1,1,1,1,1,1,1,2,1] [12,11,10,9,6,5,8,7,4,3,2,1]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [12,11,10,9,8,7,6,5,4,3,2,1]=>11111111111=>[1,1,1,1,1,1,1,1,1,1,1,1] [7,4,6,1,8,3,5,2]=>1010101=>[1,2,2,2,1] [8,3,5,1,7,4,6,2]=>1010101=>[1,2,2,2,1] [8,3,4,1,7,5,6,2]=>1010101=>[1,2,2,2,1] [4,8,3,1,7,5,6,2]=>0110101=>[2,1,2,2,1] [4,6,2,1,7,5,8,3]=>0110101=>[2,1,2,2,1] [1,4,6,2,7,5,8,3]=>0010101=>[3,2,2,1] [1,7,5,2,6,8,4,3]=>0110011=>[2,1,3,1,1] [7,5,2,1,6,8,4,3]=>1110011=>[1,1,1,3,1,1] [6,8,4,3,1,7,5,2]=>0111011=>[2,1,1,2,1,1] [3,6,8,4,1,7,5,2]=>0011011=>[3,1,2,1,1] [3,6,7,5,1,8,4,2]=>0011011=>[3,1,2,1,1] [7,5,6,1,8,3,4,2]=>1010101=>[1,2,2,2,1] [3,4,6,5,7,1,8,2]=>0010101=>[3,2,2,1] [4,7,5,6,1,8,3,2]=>0101011=>[2,2,2,1,1] [6,7,5,1,8,4,3,2]=>0110111=>[2,1,2,1,1,1] [6,8,4,1,7,5,3,2]=>0110111=>[2,1,2,1,1,1] [6,7,5,3,1,8,4,2]=>0111011=>[2,1,1,2,1,1] [8,4,2,1,6,7,5,3]=>1110011=>[1,1,1,3,1,1] [1,8,4,2,6,7,5,3]=>0110011=>[2,1,3,1,1] [1,5,3,2,7,6,8,4]=>0110101=>[2,1,2,2,1] [5,3,2,1,7,6,8,4]=>1110101=>[1,1,1,2,2,1] [2,5,3,1,7,6,8,4]=>0110101=>[2,1,2,2,1] [2,8,4,1,6,7,5,3]=>0110011=>[2,1,3,1,1] [2,7,5,1,6,8,4,3]=>0110011=>[2,1,3,1,1] [2,4,6,1,7,5,8,3]=>0010101=>[3,2,2,1] [4,7,1,6,5,8,2,3]=>0101010=>[2,2,2,2] [4,8,2,6,5,7,1,3]=>0101010=>[2,2,2,2] [4,6,1,2,7,5,8,3]=>0100101=>[2,3,2,1] [7,5,1,2,6,8,4,3]=>1100011=>[1,1,4,1,1] [8,4,1,2,6,7,5,3]=>1100011=>[1,1,4,1,1] [5,3,1,2,7,6,8,4]=>1100101=>[1,1,3,2,1] [1,2,5,3,7,6,8,4]=>0010101=>[3,2,2,1] [4,3,1,2,7,6,8,5]=>1100101=>[1,1,3,2,1] [3,5,1,2,7,6,8,4]=>0100101=>[2,3,2,1] [6,7,1,5,8,2,3,4]=>0100100=>[2,3,3] [2,7,6,1,5,8,3,4]=>0110010=>[2,1,3,2] [2,3,5,1,7,6,8,4]=>0010101=>[3,2,2,1] [7,6,1,5,8,3,2,4]=>1100110=>[1,1,3,1,2] [3,6,7,1,5,8,2,4]=>0010010=>[3,3,2] [7,1,6,5,8,2,4,3]=>1010101=>[1,2,2,2,1] [7,5,1,6,8,4,2,3]=>1100110=>[1,1,3,1,2] [8,4,1,6,7,5,2,3]=>1100110=>[1,1,3,1,2] [5,2,3,1,7,6,8,4]=>1010101=>[1,2,2,2,1] [3,5,2,1,7,6,8,4]=>0110101=>[2,1,2,2,1] [1,3,5,2,7,6,8,4]=>0010101=>[3,2,2,1] [1,7,6,2,5,8,3,4]=>0110010=>[2,1,3,2] [7,6,2,1,5,8,3,4]=>1110010=>[1,1,1,3,2] [8,3,1,5,7,6,2,4]=>1100110=>[1,1,3,1,2] [6,2,4,1,7,5,8,3]=>1010101=>[1,2,2,2,1] [6,2,5,1,7,4,8,3]=>1010101=>[1,2,2,2,1] [7,1,6,4,8,2,5,3]=>1010101=>[1,2,2,2,1] [8,2,6,4,7,1,5,3]=>1010101=>[1,2,2,2,1] [6,1,5,2,7,4,8,3]=>1010101=>[1,2,2,2,1] [7,6,2,5,8,3,1,4]=>1100110=>[1,1,3,1,2] [8,3,5,7,6,2,1,4]=>1001110=>[1,3,1,1,2] [1,8,3,5,7,6,2,4]=>0100110=>[2,3,1,2] [1,5,2,3,7,6,8,4]=>0100101=>[2,3,2,1] [5,2,1,3,7,6,8,4]=>1100101=>[1,1,3,2,1] [7,5,2,6,8,4,1,3]=>1100110=>[1,1,3,1,2] [8,4,2,6,7,5,1,3]=>1100110=>[1,1,3,1,2] [6,1,4,2,7,5,8,3]=>1010101=>[1,2,2,2,1] [8,2,6,5,7,1,4,3]=>1010101=>[1,2,2,2,1] [3,6,8,2,5,7,1,4]=>0010010=>[3,3,2] [8,3,2,5,7,6,1,4]=>1100110=>[1,1,3,1,2] [5,1,3,2,7,6,8,4]=>1010101=>[1,2,2,2,1] [4,1,3,2,7,6,8,5]=>1010101=>[1,2,2,2,1] [4,2,1,3,7,6,8,5]=>1100101=>[1,1,3,2,1] [1,4,2,3,7,6,8,5]=>0100101=>[2,3,2,1] [2,4,1,3,7,6,8,5]=>0100101=>[2,3,2,1] [2,5,1,3,7,6,8,4]=>0100101=>[2,3,2,1] [2,8,3,5,7,6,1,4]=>0100110=>[2,3,1,2] [6,8,2,3,5,7,1,4]=>0100010=>[2,4,2] [6,7,1,3,5,8,2,4]=>0100010=>[2,4,2] [8,3,5,7,6,1,2,4]=>1001100=>[1,3,1,3] [5,1,2,3,7,6,8,4]=>1000101=>[1,4,2,1] [3,1,2,4,7,6,8,5]=>1000101=>[1,4,2,1] [10,8,9,5,6,7,1,2,3,4]=>101001000=>[1,2,3,4] [10,8,9,4,5,6,1,2,3,7]=>101001000=>[1,2,3,4] [10,7,8,5,6,9,1,2,3,4]=>101001000=>[1,2,3,4] [10,7,8,4,5,9,1,2,3,6]=>101001000=>[1,2,3,4] [10,6,7,4,5,8,1,2,3,9]=>101001000=>[1,2,3,4] [10,7,8,3,4,9,1,2,5,6]=>101001000=>[1,2,3,4] [10,6,7,3,4,8,1,2,5,9]=>101001000=>[1,2,3,4] [9,8,10,5,6,7,1,2,3,4]=>101001000=>[1,2,3,4] [9,8,10,4,5,6,1,2,3,7]=>101001000=>[1,2,3,4] [9,7,10,5,6,8,1,2,3,4]=>101001000=>[1,2,3,4] [9,7,10,4,5,8,1,2,3,6]=>101001000=>[1,2,3,4] [9,6,10,4,5,7,1,2,3,8]=>101001000=>[1,2,3,4] [9,7,10,3,4,8,1,2,5,6]=>101001000=>[1,2,3,4] [9,6,10,3,4,7,1,2,5,8]=>101001000=>[1,2,3,4] [8,7,9,5,6,10,1,2,3,4]=>101001000=>[1,2,3,4] [8,7,9,4,5,10,1,2,3,6]=>101001000=>[1,2,3,4] [8,6,9,4,5,10,1,2,3,7]=>101001000=>[1,2,3,4] [7,6,8,4,5,9,1,2,3,10]=>101001000=>[1,2,3,4] [8,7,9,3,4,10,1,2,5,6]=>101001000=>[1,2,3,4] [8,6,9,3,4,10,1,2,5,7]=>101001000=>[1,2,3,4] [7,6,8,3,4,9,1,2,5,10]=>101001000=>[1,2,3,4] [9,6,10,5,7,8,1,2,3,4]=>101001000=>[1,2,3,4] [9,6,10,4,7,8,1,2,3,5]=>101001000=>[1,2,3,4] [9,5,10,4,6,7,1,2,3,8]=>101001000=>[1,2,3,4] [9,6,10,3,7,8,1,2,4,5]=>101001000=>[1,2,3,4] [9,5,10,3,6,7,1,2,4,8]=>101001000=>[1,2,3,4] [8,6,9,5,7,10,1,2,3,4]=>101001000=>[1,2,3,4] [8,6,9,4,7,10,1,2,3,5]=>101001000=>[1,2,3,4] [8,5,9,4,6,10,1,2,3,7]=>101001000=>[1,2,3,4] [7,5,8,4,6,9,1,2,3,10]=>101001000=>[1,2,3,4] [8,6,9,3,7,10,1,2,4,5]=>101001000=>[1,2,3,4] [8,5,9,3,6,10,1,2,4,7]=>101001000=>[1,2,3,4] [7,5,8,3,6,9,1,2,4,10]=>101001000=>[1,2,3,4] [8,4,9,3,5,10,1,2,6,7]=>101001000=>[1,2,3,4] [7,4,8,3,5,9,1,2,6,10]=>101001000=>[1,2,3,4] [9,6,10,2,7,8,1,3,4,5]=>101001000=>[1,2,3,4] [9,5,10,2,6,7,1,3,4,8]=>101001000=>[1,2,3,4] [8,6,9,2,7,10,1,3,4,5]=>101001000=>[1,2,3,4] [8,5,9,2,6,10,1,3,4,7]=>101001000=>[1,2,3,4] [7,5,8,2,6,9,1,3,4,10]=>101001000=>[1,2,3,4] [8,4,9,2,5,10,1,3,6,7]=>101001000=>[1,2,3,4] [7,4,8,2,5,9,1,3,6,10]=>101001000=>[1,2,3,4] [8,1,2,4,3,6,5,7]=>1001010=>[1,3,2,2] [8,1,3,5,6,2,7,4]=>1000101=>[1,4,2,1] [8,1,3,4,2,6,7,5]=>1001001=>[1,3,3,1] [8,1,3,2,4,5,7,6]=>1010001=>[1,2,4,1] [2,7,8,3,4,5,6,1]=>0010001=>[3,4,1] [2,6,3,8,4,5,7,1]=>0101001=>[2,2,3,1] [6,3,2,1,4,5,8,7]=>1110001=>[1,1,1,4,1] [7,3,1,4,2,6,8,5]=>1101001=>[1,1,2,3,1] [7,4,1,5,6,8,2,3]=>1100010=>[1,1,4,2] [4,7,8,5,6,1,2,3]=>0010100=>[3,2,3] [3,7,8,5,6,2,1,4]=>0010110=>[3,2,1,2] [3,7,8,4,2,6,1,5]=>0011010=>[3,1,2,2] [3,7,8,2,4,5,1,6]=>0010010=>[3,3,2] [3,6,2,8,4,5,1,7]=>0101010=>[2,2,2,2] [2,3,6,7,4,5,8,1]=>0001001=>[4,3,1] [3,5,2,4,8,6,1,7]=>0100110=>[2,3,1,2] [3,5,4,2,8,7,1,6]=>0110110=>[2,1,2,1,2] [4,6,5,8,7,1,2,3]=>0101100=>[2,2,1,3] [6,4,5,1,7,8,2,3]=>1010010=>[1,2,3,2] [7,4,1,2,3,8,5,6]=>1100010=>[1,1,4,2] [6,2,4,1,3,7,5,8]=>1010010=>[1,2,3,2] [2,6,4,8,3,7,5,1]=>0101011=>[2,2,2,1,1] [2,6,5,8,7,3,4,1]=>0101101=>[2,2,1,2,1] [6,2,5,1,7,3,4,8]=>1010100=>[1,2,2,3] [6,5,2,1,8,3,4,7]=>1110100=>[1,1,1,2,3] [2,5,6,7,8,3,4,1]=>0000101=>[5,2,1] [2,4,6,7,3,8,5,1]=>0001011=>[4,2,1,1] [4,2,6,7,3,1,5,8]=>1001100=>[1,3,1,3] [4,7,8,2,3,1,5,6]=>0010100=>[3,2,3] [4,7,8,3,2,1,6,5]=>0011101=>[3,1,1,2,1] [5,6,4,8,1,7,2,3]=>0101010=>[2,2,2,2] [5,6,3,8,1,2,7,4]=>0101001=>[2,2,3,1] [4,2,5,3,7,1,6,8]=>1010100=>[1,2,2,3] [4,3,6,7,2,1,8,5]=>1001101=>[1,3,1,2,1] [3,4,6,7,2,8,1,5]=>0001010=>[4,2,2] [3,4,5,2,7,8,1,6]=>0010010=>[3,3,2] [3,4,2,5,6,8,1,7]=>0100010=>[2,4,2] [5,2,7,8,6,4,1,3]=>1001110=>[1,3,1,1,2] [5,1,2,7,8,6,4,3]=>1000111=>[1,4,1,1,1] [4,7,1,8,6,5,2,3]=>0101110=>[2,2,1,1,2] [4,7,1,2,8,6,5,3]=>0100111=>[2,3,1,1,1] [4,6,8,1,2,7,5,3]=>0010011=>[3,3,1,1] [6,8,7,1,5,3,2,4]=>0110110=>[2,1,2,1,2] [6,8,7,3,5,1,2,4]=>0110100=>[2,1,2,3] [7,8,1,6,3,5,2,4]=>0101010=>[2,2,2,2] [7,8,1,3,6,5,2,4]=>0100110=>[2,3,1,2] [7,8,3,6,5,2,1,4]=>0101110=>[2,2,1,1,2] [4,7,2,8,6,1,5,3]=>0101101=>[2,2,1,2,1] [1,7,3,4,8,6,5,2]=>0100111=>[2,3,1,1,1] [4,2,7,1,8,6,5,3]=>1010111=>[1,2,2,1,1,1] [7,8,2,3,6,5,1,4]=>0100110=>[2,3,1,2] [8,5,7,1,6,2,3,4]=>1010100=>[1,2,2,3] [8,5,7,1,2,6,3,4]=>1010010=>[1,2,3,2] [6,8,2,7,1,3,5,4]=>0101001=>[2,2,3,1] [6,8,7,2,5,3,1,4]=>0110110=>[2,1,2,1,2] [6,2,4,8,7,1,5,3]=>1001101=>[1,3,1,2,1] [1,6,8,3,7,4,5,2]=>0010101=>[3,2,2,1] [1,6,8,3,4,7,5,2]=>0010011=>[3,3,1,1] [6,2,4,8,1,7,5,3]=>1001011=>[1,3,2,1,1] [6,8,7,2,3,5,1,4]=>0110010=>[2,1,3,2] [6,8,2,1,7,3,5,4]=>0110101=>[2,1,2,2,1] [8,5,7,2,1,6,3,4]=>1011010=>[1,2,1,2,2] [8,5,7,1,2,3,6,4]=>1010001=>[1,2,4,1] [8,7,6,2,1,4,3,5]=>1111010=>[1,1,1,1,2,2] [8,5,7,2,3,1,6,4]=>1010101=>[1,2,2,2,1] [5,8,4,2,7,1,6,3]=>0110101=>[2,1,2,2,1] [1,8,7,5,3,4,6,2]=>0111001=>[2,1,1,3,1] [1,8,7,3,5,4,6,2]=>0110101=>[2,1,2,2,1] [8,2,5,4,7,1,6,3]=>1010101=>[1,2,2,2,1] [8,5,2,7,3,1,6,4]=>1101101=>[1,1,2,1,2,1] [8,7,6,2,4,3,1,5]=>1110110=>[1,1,1,2,1,2] [8,7,6,1,2,4,3,5]=>1110010=>[1,1,1,3,2] [8,7,6,1,4,2,3,5]=>1110100=>[1,1,1,2,3] [8,7,6,4,1,3,2,5]=>1111010=>[1,1,1,1,2,2] [5,8,4,7,2,1,6,3]=>0101101=>[2,2,1,2,1] [1,8,7,5,4,3,6,2]=>0111101=>[2,1,1,1,2,1] [1,6,8,4,3,7,5,2]=>0011011=>[3,1,2,1,1] [6,8,7,3,2,5,1,4]=>0111010=>[2,1,1,2,2] [6,8,1,7,3,2,5,4]=>0101101=>[2,2,1,2,1] [8,5,7,3,1,6,2,4]=>1011010=>[1,2,1,2,2] [8,5,7,1,3,2,6,4]=>1010101=>[1,2,2,2,1] [8,5,7,3,1,2,6,4]=>1011001=>[1,2,1,3,1] [5,8,4,7,1,2,6,3]=>0101001=>[2,2,3,1] [5,8,4,1,7,2,6,3]=>0110101=>[2,1,2,2,1] [5,8,4,7,1,6,2,3]=>0101010=>[2,2,2,2] [8,1,2,6,5,7,4,3]=>1001011=>[1,3,2,1,1] [8,2,5,6,7,4,1,3]=>1000110=>[1,4,1,2] [4,8,5,7,1,6,2,3]=>0101010=>[2,2,2,2] [4,8,5,7,1,2,6,3]=>0101001=>[2,2,3,1] [4,8,5,1,7,2,6,3]=>0110101=>[2,1,2,2,1] [8,5,3,1,7,2,6,4]=>1110101=>[1,1,1,2,2,1] [8,5,3,7,1,2,6,4]=>1101001=>[1,1,2,3,1] [6,8,1,3,7,2,5,4]=>0100101=>[2,3,2,1] [4,6,2,8,1,7,5,3]=>0101011=>[2,2,2,1,1] [1,6,4,8,3,7,5,2]=>0101011=>[2,2,2,1,1] [1,8,7,4,5,3,6,2]=>0110101=>[2,1,2,2,1] [4,8,5,7,2,1,6,3]=>0101101=>[2,2,1,2,1] [8,5,3,7,2,1,6,4]=>1101101=>[1,1,2,1,2,1] [8,7,6,3,1,4,2,5]=>1111010=>[1,1,1,1,2,2] [8,7,6,1,3,2,4,5]=>1110100=>[1,1,1,2,3] [8,5,3,2,7,1,6,4]=>1110101=>[1,1,1,2,2,1] [4,8,5,2,7,1,6,3]=>0110101=>[2,1,2,2,1] [1,8,7,4,3,5,6,2]=>0111001=>[2,1,1,3,1] [1,8,7,3,4,5,6,2]=>0110001=>[2,1,4,1] [8,2,4,5,7,1,6,3]=>1000101=>[1,4,2,1] [8,5,2,3,7,1,6,4]=>1100101=>[1,1,3,2,1] [6,3,1,5,4,2,8,7]=>1101101=>[1,1,2,1,2,1] [8,3,1,5,2,7,6,4]=>1101011=>[1,1,2,2,1,1] [8,5,4,2,1,7,3,6]=>1111010=>[1,1,1,1,2,2] [8,5,4,2,1,7,6,3]=>1111011=>[1,1,1,1,2,1,1] [6,5,4,2,1,3,8,7]=>1111001=>[1,1,1,1,3,1] [6,5,4,2,3,1,8,7]=>1110101=>[1,1,1,2,2,1] [6,3,2,5,1,4,8,7]=>1101001=>[1,1,2,3,1] [6,5,4,3,1,2,8,7]=>1111001=>[1,1,1,1,3,1] [6,5,4,1,3,2,8,7]=>1110101=>[1,1,1,2,2,1] [8,5,4,1,2,7,6,3]=>1110011=>[1,1,1,3,1,1] [8,7,4,1,6,3,2,5]=>1110110=>[1,1,1,2,1,2] [8,7,4,1,6,3,5,2]=>1110101=>[1,1,1,2,2,1] [8,7,4,1,6,5,3,2]=>1110111=>[1,1,1,2,1,1,1] [8,5,4,1,3,7,6,2]=>1110011=>[1,1,1,3,1,1] [8,5,4,3,1,7,6,2]=>1111011=>[1,1,1,1,2,1,1] [8,3,2,5,1,7,6,4]=>1101011=>[1,1,2,2,1,1] [2,1,8,5,3,7,6,4]=>1011011=>[1,2,1,2,1,1] [8,3,2,5,1,7,4,6]=>1101010=>[1,1,2,2,2] [8,5,4,3,1,7,2,6]=>1111010=>[1,1,1,1,2,2] [8,5,4,1,3,7,2,6]=>1110010=>[1,1,1,3,2] [8,7,4,1,6,5,2,3]=>1110110=>[1,1,1,2,1,2] [8,7,4,1,6,2,5,3]=>1110101=>[1,1,1,2,2,1] [8,7,6,5,2,1,4,3]=>1111101=>[1,1,1,1,1,2,1] [8,7,4,3,6,2,1,5]=>1110110=>[1,1,1,2,1,2] [8,3,2,7,6,4,1,5]=>1101110=>[1,1,2,1,1,2] [2,1,8,7,6,4,3,5]=>1011110=>[1,2,1,1,1,2] [2,1,8,7,6,4,5,3]=>1011101=>[1,2,1,1,2,1] [8,3,2,7,6,4,5,1]=>1101101=>[1,1,2,1,2,1] [8,7,4,3,6,2,5,1]=>1110101=>[1,1,1,2,2,1] [8,7,6,5,2,4,3,1]=>1111011=>[1,1,1,1,2,1,1] [8,5,4,2,3,7,6,1]=>1110011=>[1,1,1,3,1,1] [8,7,4,2,6,5,3,1]=>1110111=>[1,1,1,2,1,1,1] [8,7,4,2,6,3,5,1]=>1110101=>[1,1,1,2,2,1] [8,7,4,2,6,3,1,5]=>1110110=>[1,1,1,2,1,2] [8,3,1,7,6,4,2,5]=>1101110=>[1,1,2,1,1,2] [8,3,1,7,6,4,5,2]=>1101101=>[1,1,2,1,2,1] [8,3,1,7,6,5,4,2]=>1101111=>[1,1,2,1,1,1,1] [8,3,1,5,4,7,6,2]=>1101011=>[1,1,2,2,1,1] [8,3,1,5,4,7,2,6]=>1101010=>[1,1,2,2,2] [8,3,1,7,6,5,2,4]=>1101110=>[1,1,2,1,1,2] [8,3,1,7,6,2,5,4]=>1101101=>[1,1,2,1,2,1] [8,7,4,2,6,1,5,3]=>1110101=>[1,1,1,2,2,1] [8,7,4,2,6,5,1,3]=>1110110=>[1,1,1,2,1,2] [8,5,4,2,3,7,1,6]=>1110010=>[1,1,1,3,2] [8,3,2,5,4,7,1,6]=>1101010=>[1,1,2,2,2] [2,1,8,5,4,7,3,6]=>1011010=>[1,2,1,2,2] [8,3,2,7,6,5,1,4]=>1101110=>[1,1,2,1,1,2] [8,7,4,3,6,5,1,2]=>1110110=>[1,1,1,2,1,2] [8,7,6,5,3,1,4,2]=>1111101=>[1,1,1,1,1,2,1] [8,7,6,5,1,3,2,4]=>1111010=>[1,1,1,1,2,2] [8,7,6,5,1,3,4,2]=>1111001=>[1,1,1,1,3,1] [8,7,6,5,1,4,3,2]=>1111011=>[1,1,1,1,2,1,1] [8,7,6,5,4,1,3,2]=>1111101=>[1,1,1,1,1,2,1] [8,7,4,3,6,1,5,2]=>1110101=>[1,1,1,2,2,1] [8,3,2,7,6,1,5,4]=>1101101=>[1,1,2,1,2,1] [2,1,8,7,6,3,5,4]=>1011101=>[1,2,1,1,2,1] [8,3,2,7,6,1,4,5]=>1101100=>[1,1,2,1,3] [8,7,6,5,1,4,2,3]=>1111010=>[1,1,1,1,2,2] [8,7,6,5,1,2,4,3]=>1111001=>[1,1,1,1,3,1] [7,3,5,1,8,4,6,2]=>1010101=>[1,2,2,2,1] [7,3,4,1,8,5,6,2]=>1010101=>[1,2,2,2,1] [4,5,6,2,1,8,7,3]=>0011011=>[3,1,2,1,1] [1,6,5,2,7,4,3,8]=>0110110=>[2,1,2,1,2] [7,4,3,1,8,6,5,2]=>1110111=>[1,1,1,2,1,1,1] [7,6,5,1,8,4,3,2]=>1110111=>[1,1,1,2,1,1,1] [7,6,4,1,8,5,3,2]=>1110111=>[1,1,1,2,1,1,1] [6,4,2,1,8,7,5,3]=>1110111=>[1,1,1,2,1,1,1] [1,6,4,2,7,5,3,8]=>0110110=>[2,1,2,1,2] [1,5,3,2,7,6,4,8]=>0110110=>[2,1,2,1,2] [5,3,2,1,8,7,6,4]=>1110111=>[1,1,1,2,1,1,1] [2,5,3,1,7,8,6,4]=>0110011=>[2,1,3,1,1] [2,6,4,1,7,8,5,3]=>0110011=>[2,1,3,1,1] [2,6,5,1,7,8,4,3]=>0110011=>[2,1,3,1,1] [4,5,7,1,6,8,2,3]=>0010010=>[3,3,2] [6,5,1,2,8,4,3,7]=>1100110=>[1,1,3,1,2] [6,4,1,2,8,5,3,7]=>1100110=>[1,1,3,1,2] [5,3,1,2,8,6,4,7]=>1100110=>[1,1,3,1,2] [4,3,1,2,8,6,5,7]=>1100110=>[1,1,3,1,2] [6,1,2,5,8,3,4,7]=>1000100=>[1,4,3] [7,1,3,4,8,2,5,6]=>1000100=>[1,4,3] [7,1,5,6,8,2,3,4]=>1000100=>[1,4,3] [2,6,1,5,7,8,3,4]=>0100010=>[2,4,2] [7,4,1,6,8,5,2,3]=>1100110=>[1,1,3,1,2] [5,2,3,1,8,6,7,4]=>1010101=>[1,2,2,2,1] [3,5,2,1,6,8,7,4]=>0110011=>[2,1,3,1,1] [1,6,2,5,7,3,4,8]=>0100100=>[2,3,3] [6,2,1,5,8,7,3,4]=>1100110=>[1,1,3,1,2] [7,3,1,5,8,6,2,4]=>1100110=>[1,1,3,1,2] [6,2,4,1,8,5,7,3]=>1010101=>[1,2,2,2,1] [6,2,5,1,8,4,7,3]=>1010101=>[1,2,2,2,1] [7,3,1,4,8,6,2,5]=>1100110=>[1,1,3,1,2] [6,2,1,4,8,7,3,5]=>1100110=>[1,1,3,1,2] [1,6,2,4,7,3,5,8]=>0100100=>[2,3,3] [5,2,1,3,8,7,4,6]=>1100110=>[1,1,3,1,2] [7,4,1,3,8,5,2,6]=>1100110=>[1,1,3,1,2] [7,5,1,3,8,4,2,6]=>1100110=>[1,1,3,1,2] [3,6,7,1,4,8,2,5]=>0010010=>[3,3,2] [7,6,1,4,8,3,2,5]=>1100110=>[1,1,3,1,2] [4,2,1,3,8,7,5,6]=>1100110=>[1,1,3,1,2] [2,6,1,4,7,8,3,5]=>0100010=>[2,4,2] [7,1,4,6,8,2,3,5]=>1000100=>[1,4,3] [7,1,3,5,8,2,4,6]=>1000100=>[1,4,3] [6,1,2,4,8,3,5,7]=>1000100=>[1,4,3] [5,2,3,1,6,4,8,7]=>1010101=>[1,2,2,2,1] [7,4,5,2,3,1,8,6]=>1010101=>[1,2,2,2,1] [8,6,7,3,5,2,4,1]=>1010101=>[1,2,2,2,1] [7,3,5,2,4,1,8,6]=>1010101=>[1,2,2,2,1] [6,3,5,2,4,1,8,7]=>1010101=>[1,2,2,2,1] [5,2,4,1,6,3,8,7]=>1010101=>[1,2,2,2,1] [4,1,6,3,5,2,8,7]=>1010101=>[1,2,2,2,1] [6,3,4,1,5,2,8,7]=>1010101=>[1,2,2,2,1] [5,2,6,3,4,1,8,7]=>1010101=>[1,2,2,2,1] [5,2,7,3,4,1,8,6]=>1010101=>[1,2,2,2,1] [5,2,8,6,7,3,4,1]=>1010101=>[1,2,2,2,1] [6,2,8,5,7,3,4,1]=>1010101=>[1,2,2,2,1] [6,2,7,3,4,1,8,5]=>1010101=>[1,2,2,2,1] [7,3,4,1,5,2,8,6]=>1010101=>[1,2,2,2,1] [4,1,7,3,5,2,8,6]=>1010101=>[1,2,2,2,1] [3,1,7,4,5,2,8,6]=>1010101=>[1,2,2,2,1] [2,1,7,4,5,3,8,6]=>1010101=>[1,2,2,2,1] [3,1,8,6,7,4,5,2]=>1010101=>[1,2,2,2,1] [4,1,8,6,7,3,5,2]=>1010101=>[1,2,2,2,1] [8,6,7,3,4,1,5,2]=>1010101=>[1,2,2,2,1] [8,5,7,3,4,1,6,2]=>1010101=>[1,2,2,2,1] [8,5,6,2,7,3,4,1]=>1010101=>[1,2,2,2,1] [8,4,7,3,5,1,6,2]=>1010101=>[1,2,2,2,1] [5,1,8,4,7,3,6,2]=>1010101=>[1,2,2,2,1] [4,1,8,5,7,3,6,2]=>1010101=>[1,2,2,2,1] [3,1,8,5,7,4,6,2]=>1010101=>[1,2,2,2,1] [2,1,8,5,7,4,6,3]=>1010101=>[1,2,2,2,1] [2,1,7,4,6,3,8,5]=>1010101=>[1,2,2,2,1] [3,1,7,4,6,2,8,5]=>1010101=>[1,2,2,2,1] [4,1,7,3,6,2,8,5]=>1010101=>[1,2,2,2,1] [5,1,7,3,6,2,8,4]=>1010101=>[1,2,2,2,1] [6,2,7,3,5,1,8,4]=>1010101=>[1,2,2,2,1] [6,2,8,4,7,3,5,1]=>1010101=>[1,2,2,2,1] [8,4,7,3,6,2,5,1]=>1010101=>[1,2,2,2,1] [7,3,6,2,5,1,8,4]=>1010101=>[1,2,2,2,1] [6,2,5,1,7,3,8,4]=>1010101=>[1,2,2,2,1] [5,2,4,1,7,3,8,6]=>1010101=>[1,2,2,2,1] [6,2,4,1,7,3,8,5]=>1010101=>[1,2,2,2,1] [8,5,7,3,6,2,4,1]=>1010101=>[1,2,2,2,1] [8,5,7,4,6,2,3,1]=>1010101=>[1,2,2,2,1] [7,4,6,2,3,1,8,5]=>1010101=>[1,2,2,2,1] [6,2,3,1,7,4,8,5]=>1010101=>[1,2,2,2,1] [5,2,3,1,7,4,8,6]=>1010101=>[1,2,2,2,1] [4,2,3,1,7,5,8,6]=>1010101=>[1,2,2,2,1] [3,1,4,2,8,6,7,5]=>1010101=>[1,2,2,2,1] [6,2,3,1,8,5,7,4]=>1010101=>[1,2,2,2,1] [8,5,6,2,3,1,7,4]=>1010101=>[1,2,2,2,1] [7,4,8,5,6,2,3,1]=>1010101=>[1,2,2,2,1] [7,3,8,5,6,2,4,1]=>1010101=>[1,2,2,2,1] [8,5,6,2,4,1,7,3]=>1010101=>[1,2,2,2,1] [5,2,4,1,8,6,7,3]=>1010101=>[1,2,2,2,1] [4,1,5,2,8,6,7,3]=>1010101=>[1,2,2,2,1] [3,1,5,2,8,6,7,4]=>1010101=>[1,2,2,2,1] [2,1,6,3,8,5,7,4]=>1010101=>[1,2,2,2,1] [3,1,6,2,8,5,7,4]=>1010101=>[1,2,2,2,1] [4,1,6,2,8,5,7,3]=>1010101=>[1,2,2,2,1] [5,1,6,2,8,4,7,3]=>1010101=>[1,2,2,2,1] [8,4,6,2,5,1,7,3]=>1010101=>[1,2,2,2,1] [7,3,8,4,6,2,5,1]=>1010101=>[1,2,2,2,1] [6,2,7,3,8,4,5,1]=>1010101=>[1,2,2,2,1] [8,4,5,1,6,2,7,3]=>1010101=>[1,2,2,2,1] [5,1,8,4,6,2,7,3]=>1010101=>[1,2,2,2,1] [4,1,8,5,6,2,7,3]=>1010101=>[1,2,2,2,1] [3,1,8,5,6,2,7,4]=>1010101=>[1,2,2,2,1] [2,1,8,5,6,3,7,4]=>1010101=>[1,2,2,2,1] [2,1,7,4,8,5,6,3]=>1010101=>[1,2,2,2,1] [3,1,7,4,8,5,6,2]=>1010101=>[1,2,2,2,1] [4,1,7,3,8,5,6,2]=>1010101=>[1,2,2,2,1] [7,3,8,4,5,1,6,2]=>1010101=>[1,2,2,2,1] [8,4,5,1,7,3,6,2]=>1010101=>[1,2,2,2,1] [7,3,6,2,8,4,5,1]=>1010101=>[1,2,2,2,1] [7,8,5,6,1,3,4,2]=>0101001=>[2,2,3,1] [7,8,1,3,6,2,5,4]=>0100101=>[2,3,2,1] [1,3,8,4,7,2,5,6]=>0010100=>[3,2,3] [3,6,1,4,7,2,5,8]=>0100100=>[2,3,3] [4,6,1,2,5,7,3,8]=>0100010=>[2,4,2] [1,4,8,2,5,7,3,6]=>0010010=>[3,3,2] [7,8,2,4,5,6,1,3]=>0100010=>[2,4,2] [7,8,1,5,4,6,3,2]=>0101011=>[2,2,2,1,1] [7,8,2,1,6,3,4,5]=>0110100=>[2,1,2,3] [7,8,3,5,6,4,1,2]=>0100110=>[2,3,1,2] [7,8,1,4,2,3,6,5]=>0101001=>[2,2,3,1] [7,8,5,1,4,2,6,3]=>0110101=>[2,1,2,2,1] [7,8,4,5,3,1,6,2]=>0101101=>[2,2,1,2,1] [1,5,8,4,3,2,7,6]=>0011101=>[3,1,1,2,1] [5,6,1,4,3,2,7,8]=>0101100=>[2,2,1,3] [2,6,4,8,3,7,1,5]=>0101010=>[2,2,2,2] [1,4,6,8,3,7,5,2]=>0001011=>[4,2,1,1] [2,4,8,5,3,1,6,7]=>0011100=>[3,1,1,3] [2,5,8,1,4,7,6,3]=>0010011=>[3,3,1,1] [3,5,8,4,7,6,1,2]=>0010110=>[3,2,1,2] [1,6,2,4,7,3,8,5]=>0100101=>[2,3,2,1] [5,6,2,1,4,7,8,3]=>0110001=>[2,1,4,1] [4,6,2,5,3,1,8,7]=>0101101=>[2,2,1,2,1] [4,7,5,1,3,6,8,2]=>0110001=>[2,1,4,1] [7,5,3,6,2,4,1,8]=>1101010=>[1,1,2,2,2] [5,7,3,6,1,4,8,2]=>0101001=>[2,2,3,1] [5,3,6,7,2,1,8,4]=>1001101=>[1,3,1,2,1] [6,1,7,5,2,4,8,3]=>1011001=>[1,2,1,3,1] [6,3,1,2,4,5,8,7]=>1100001=>[1,1,5,1] [1,4,7,2,5,3,8,6]=>0010101=>[3,2,2,1] [4,6,7,8,3,5,1,2]=>0001010=>[4,2,2] [3,6,1,8,4,2,5,7]=>0101100=>[2,2,1,3] [1,6,7,5,8,2,4,3]=>0010101=>[3,2,2,1] [3,5,6,7,8,1,4,2]=>0000101=>[5,2,1] [3,6,5,7,8,2,1,4]=>0100110=>[2,3,1,2] [5,2,7,6,1,4,3,8]=>1011010=>[1,2,1,2,2] [2,5,7,6,8,1,3,4]=>0010100=>[3,2,3] [2,7,5,6,8,4,1,3]=>0100110=>[2,3,1,2] [2,1,6,8,4,5,3,7]=>1001010=>[1,3,2,2] [2,7,1,8,5,3,4,6]=>0101100=>[2,2,1,3] [3,7,6,8,5,4,1,2]=>0101110=>[2,2,1,1,2] [4,3,8,5,6,7,1,2]=>1010010=>[1,2,3,2] [4,2,8,1,6,3,7,5]=>1010101=>[1,2,2,2,1] [3,1,8,5,4,6,7,2]=>1011001=>[1,2,1,3,1] [3,2,8,4,5,6,1,7]=>1010010=>[1,2,3,2] [3,4,2,8,6,1,7,5]=>0101101=>[2,2,1,2,1] [3,4,7,1,5,2,6,8]=>0010100=>[3,2,3] [4,3,7,8,1,2,6,5]=>1001001=>[1,3,3,1] [1,7,3,8,5,2,6,4]=>0101101=>[2,2,1,2,1] [4,1,8,3,6,2,5,7]=>1010100=>[1,2,2,3] [5,7,8,6,3,2,1,4]=>0011110=>[3,1,1,1,2] [5,7,8,6,1,3,4,2]=>0011001=>[3,1,3,1] [7,6,5,8,1,3,4,2]=>1101001=>[1,1,2,3,1] [1,6,4,3,8,2,5,7]=>0110100=>[2,1,2,3] [7,1,3,4,8,2,6,5]=>1000101=>[1,4,2,1] [3,6,5,4,1,2,7,8]=>0111000=>[2,1,1,4] [2,4,5,1,7,8,6,3]=>0010011=>[3,3,1,1] [2,6,3,4,5,8,1,7]=>0100010=>[2,4,2] [2,6,4,1,8,3,7,5]=>0110101=>[2,1,2,2,1] [7,3,6,4,8,5,1,2]=>1010110=>[1,2,2,1,2] [7,2,1,4,8,3,5,6]=>1100100=>[1,1,3,3] [7,1,6,5,3,8,4,2]=>1011011=>[1,2,1,2,1,1] [7,2,5,6,3,8,1,4]=>1001010=>[1,3,2,2] [6,5,2,7,1,8,4,3]=>1101011=>[1,1,2,2,1,1] [5,6,2,7,3,1,4,8]=>0101100=>[2,2,1,3] [5,6,7,4,2,8,1,3]=>0011010=>[3,1,2,2] [5,7,6,4,1,8,3,2]=>0111011=>[2,1,1,2,1,1] [6,7,1,5,2,8,3,4]=>0101010=>[2,2,2,2] [1,7,5,2,4,8,3,6]=>0110010=>[2,1,3,2] [6,1,5,2,8,3,4,7]=>1010100=>[1,2,2,3] [6,7,5,3,8,4,1,2]=>0110110=>[2,1,2,1,2] [1,6,5,4,2,3,8,7]=>0111001=>[2,1,1,3,1] [7,1,5,3,4,2,8,6]=>1010101=>[1,2,2,2,1] [7,6,1,5,3,2,8,4]=>1101101=>[1,1,2,1,2,1] [7,5,6,4,1,2,8,3]=>1011001=>[1,2,1,3,1] [6,7,5,4,3,1,8,2]=>0111101=>[2,1,1,1,2,1] [7,5,2,4,3,1,6,8]=>1101100=>[1,1,2,1,3] [7,4,6,1,2,5,3,8]=>1010010=>[1,2,3,2] [7,1,4,2,5,3,6,8]=>1010100=>[1,2,2,3] [6,8,1,4,2,5,7,3]=>0101001=>[2,2,3,1] [1,6,4,2,5,7,3,8]=>0110010=>[2,1,3,2] [1,6,3,7,5,4,2,8]=>0101110=>[2,2,1,1,2] [6,8,1,3,7,5,4,2]=>0100111=>[2,3,1,1,1] [7,1,3,5,6,4,2,8]=>1000110=>[1,4,1,2] [7,3,1,6,4,5,2,8]=>1101010=>[1,1,2,2,2] [7,4,2,6,5,1,3,8]=>1101100=>[1,1,2,1,3] [7,4,6,3,1,5,2,8]=>1011010=>[1,2,1,2,2] [7,2,4,1,5,3,6,8]=>1010100=>[1,2,2,3] [7,2,3,5,4,1,6,8]=>1001100=>[1,3,1,3] [6,8,1,2,3,4,7,5]=>0100001=>[2,5,1] [1,5,7,2,3,8,6,4]=>0010011=>[3,3,1,1] [5,1,8,2,3,6,7,4]=>1010001=>[1,2,4,1] [5,8,2,3,7,6,4,1]=>0100111=>[2,3,1,1,1] [6,2,8,1,3,7,4,5]=>1010010=>[1,2,3,2] [6,8,2,3,5,4,7,1]=>0100101=>[2,3,2,1] [6,8,2,4,1,5,7,3]=>0101001=>[2,2,3,1] [6,8,3,1,2,4,7,5]=>0110001=>[2,1,4,1] [2,6,4,1,5,7,3,8]=>0110010=>[2,1,3,2] [2,6,3,5,7,1,4,8]=>0100100=>[2,3,3] [2,5,1,7,8,3,6,4]=>0100101=>[2,3,2,1] [2,5,3,6,8,4,7,1]=>0100101=>[2,3,2,1] [2,1,4,7,8,5,6,3]=>1000101=>[1,4,2,1] [2,4,7,6,8,5,1,3]=>0010110=>[3,2,1,2] [2,5,3,7,6,1,8,4]=>0101101=>[2,2,1,2,1] [2,5,7,8,1,4,6,3]=>0001001=>[4,3,1] [3,5,7,4,1,6,2,8]=>0011010=>[3,1,2,2] [5,3,4,1,8,6,7,2]=>1010101=>[1,2,2,2,1] [5,2,8,4,6,1,7,3]=>1010101=>[1,2,2,2,1] [5,2,1,8,6,3,7,4]=>1101101=>[1,1,2,1,2,1] [4,2,8,6,5,3,7,1]=>1011101=>[1,2,1,1,2,1] [4,2,8,5,7,6,3,1]=>1010111=>[1,2,2,1,1,1] [1,4,2,7,5,8,6,3]=>0101011=>[2,2,2,1,1] [4,1,8,6,7,5,3,2]=>1010111=>[1,2,2,1,1,1] [5,3,8,7,6,2,4,1]=>1011101=>[1,2,1,1,2,1] [5,8,4,7,6,2,1,3]=>0101110=>[2,2,1,1,2] [5,8,7,4,3,6,1,2]=>0111010=>[2,1,1,2,2] [6,4,8,3,1,7,2,5]=>1011010=>[1,2,1,2,2] [6,4,2,8,7,1,3,5]=>1101100=>[1,1,2,1,3] [6,3,8,7,2,5,1,4]=>1011010=>[1,2,1,2,2] [5,8,3,7,1,6,4,2]=>0101011=>[2,2,2,1,1] [5,1,3,8,6,7,2,4]=>1001010=>[1,3,2,2] [1,5,3,7,8,6,2,4]=>0100110=>[2,3,1,2] [1,5,7,6,4,2,8,3]=>0011101=>[3,1,1,2,1] [5,8,7,4,1,6,2,3]=>0111010=>[2,1,1,2,2] [6,4,8,1,2,7,3,5]=>1010010=>[1,2,3,2] [6,8,5,1,2,3,7,4]=>0110001=>[2,1,4,1] [6,8,5,2,4,3,7,1]=>0110101=>[2,1,2,2,1] [6,8,5,3,1,2,7,4]=>0111001=>[2,1,1,3,1] [4,5,1,2,7,6,3,8]=>0100110=>[2,3,1,2] [4,5,1,2,6,8,7,3]=>0100011=>[2,4,1,1] [3,5,6,1,8,4,7,2]=>0010101=>[3,2,2,1] [3,5,7,1,2,8,6,4]=>0010011=>[3,3,1,1] [3,6,2,7,5,1,4,8]=>0101100=>[2,2,1,3] [4,2,6,1,7,3,5,8]=>1010100=>[1,2,2,3] [4,6,3,1,2,7,5,8]=>0110010=>[2,1,3,2] [4,5,3,1,7,6,2,8]=>0110110=>[2,1,2,1,2] [4,2,5,7,1,6,3,8]=>1001010=>[1,3,2,2] [3,5,2,7,8,1,6,4]=>0100101=>[2,3,2,1] [3,1,4,7,5,6,2,8]=>1001010=>[1,3,2,2] [3,4,6,5,8,7,1,2]=>0010110=>[3,2,1,2] [3,1,4,5,8,6,7,2]=>1000101=>[1,4,2,1] [3,4,6,8,5,2,7,1]=>0001101=>[4,1,2,1] [3,5,6,2,8,4,7,1]=>0010101=>[3,2,2,1] [4,2,5,6,1,8,7,3]=>1001011=>[1,3,2,1,1] [4,5,3,1,6,8,7,2]=>0110011=>[2,1,3,1,1] [2,1,7,5,8,6,4,3]=>1010111=>[1,2,2,1,1,1] [1,2,7,5,3,8,6,4]=>0011011=>[3,1,2,1,1] [4,1,2,7,3,8,6,5]=>1001011=>[1,3,2,1,1] [6,4,1,7,5,2,3,8]=>1101100=>[1,1,2,1,3] [6,1,3,7,5,2,4,8]=>1001100=>[1,3,1,3] [3,1,2,6,8,5,4,7]=>1000110=>[1,4,1,2] [3,7,1,2,5,4,8,6]=>0100101=>[2,3,2,1] [1,3,7,2,4,8,6,5]=>0010011=>[3,3,1,1] [2,4,1,7,8,6,5,3]=>0100111=>[2,3,1,1,1] [3,4,7,5,1,8,6,2]=>0011011=>[3,1,2,1,1] [2,7,4,1,5,8,6,3]=>0110011=>[2,1,3,1,1] [2,3,7,1,5,8,6,4]=>0010011=>[3,3,1,1] [5,2,8,1,3,7,4,6]=>1010010=>[1,2,3,2] [2,1,6,8,3,4,7,5]=>1001001=>[1,3,3,1] [2,6,8,3,1,5,7,4]=>0011001=>[3,1,3,1] [2,8,6,4,1,5,7,3]=>0111001=>[2,1,1,3,1] [3,6,4,8,5,1,7,2]=>0101101=>[2,2,1,2,1] [6,3,7,4,5,1,8,2]=>1010101=>[1,2,2,2,1] [2,6,3,7,5,8,1,4]=>0101010=>[2,2,2,2] [5,2,1,7,8,3,4,6]=>1100100=>[1,1,3,3] [4,7,2,3,6,8,1,5]=>0100010=>[2,4,2] [5,2,7,3,6,8,1,4]=>1010010=>[1,2,3,2] [5,7,4,6,2,8,1,3]=>0101010=>[2,2,2,2] [5,7,3,4,6,1,8,2]=>0100101=>[2,3,2,1] [5,3,8,4,6,1,7,2]=>1010101=>[1,2,2,2,1] [8,5,2,4,1,6,7,3]=>1101001=>[1,1,2,3,1] [8,2,3,5,1,6,7,4]=>1001001=>[1,3,3,1] [4,2,8,3,6,7,1,5]=>1010010=>[1,2,3,2] [2,4,8,1,7,3,5,6]=>0010100=>[3,2,3] [8,4,1,3,6,2,5,7]=>1100100=>[1,1,3,3] [4,8,3,1,7,2,5,6]=>0110100=>[2,1,2,3] [5,2,8,4,7,1,6,3]=>1010101=>[1,2,2,2,1] [5,8,4,7,3,1,6,2]=>0101101=>[2,2,1,2,1] [4,6,8,3,1,7,5,2]=>0011011=>[3,1,2,1,1] [6,3,8,2,7,1,5,4]=>1010101=>[1,2,2,2,1] [6,3,1,8,2,4,7,5]=>1101001=>[1,1,2,3,1] [5,3,8,1,2,6,4,7]=>1010010=>[1,2,3,2] [5,7,4,1,6,2,3,8]=>0110100=>[2,1,2,3] [8,5,4,1,2,6,3,7]=>1110010=>[1,1,1,3,2] [5,1,8,4,2,7,3,6]=>1011010=>[1,2,1,2,2] [1,6,2,8,5,3,7,4]=>0101101=>[2,2,1,2,1] [6,8,5,3,1,7,4,2]=>0111011=>[2,1,1,2,1,1] [8,4,5,1,2,6,3,7]=>1010010=>[1,2,3,2] [5,6,3,7,1,2,4,8]=>0101000=>[2,2,4] [1,6,3,7,2,8,4,5]=>0101010=>[2,2,2,2] [6,3,2,7,8,5,1,4]=>1100110=>[1,1,3,1,2] [4,5,7,8,3,1,6,2]=>0001101=>[4,1,2,1] [4,7,2,5,8,1,6,3]=>0100101=>[2,3,2,1] [8,1,3,4,6,2,5,7]=>1000100=>[1,4,3] [3,8,2,4,6,7,1,5]=>0100010=>[2,4,2] [3,5,6,8,2,7,1,4]=>0001010=>[4,2,2] [2,4,5,6,8,1,7,3]=>0000101=>[5,2,1] [4,8,3,5,6,1,7,2]=>0100101=>[2,3,2,1] [5,6,2,3,7,8,1,4]=>0100010=>[2,4,2] [5,8,7,3,4,1,2,6]=>0110100=>[2,1,2,3] [6,8,7,3,4,1,2,5]=>0110100=>[2,1,2,3] [6,8,4,7,1,5,3,2]=>0101011=>[2,2,2,1,1] [6,8,4,7,2,5,3,1]=>0101011=>[2,2,2,1,1] [5,4,8,7,2,6,3,1]=>1011011=>[1,2,1,2,1,1] [5,4,8,7,1,6,3,2]=>1011011=>[1,2,1,2,1,1] [5,3,8,7,6,1,2,4]=>1011100=>[1,2,1,1,3] [4,3,8,7,6,1,2,5]=>1011100=>[1,2,1,1,3] [4,8,3,7,5,1,2,6]=>0101100=>[2,2,1,3] [8,3,4,6,5,1,2,7]=>1001100=>[1,3,1,3] [3,8,4,7,5,1,2,6]=>0101100=>[2,2,1,3] [3,4,8,7,6,1,2,5]=>0011100=>[3,1,1,3] [3,5,8,7,6,1,2,4]=>0011100=>[3,1,1,3] [4,5,8,7,6,1,2,3]=>0011100=>[3,1,1,3] [4,5,8,7,1,6,3,2]=>0011011=>[3,1,2,1,1] [4,5,8,7,2,6,3,1]=>0011011=>[3,1,2,1,1] [3,5,8,2,7,6,4,1]=>0010111=>[3,2,1,1,1] [3,5,8,1,7,6,4,2]=>0010111=>[3,2,1,1,1] [2,5,8,1,7,6,4,3]=>0010111=>[3,2,1,1,1] [2,5,8,7,1,6,3,4]=>0011010=>[3,1,2,2] [2,4,8,7,1,6,3,5]=>0011010=>[3,1,2,2] [2,8,4,7,1,5,3,6]=>0101010=>[2,2,2,2] [8,2,4,6,1,5,3,7]=>1001010=>[1,3,2,2] [8,1,4,6,2,5,3,7]=>1001010=>[1,3,2,2] [1,8,4,7,2,5,3,6]=>0101010=>[2,2,2,2] [1,4,8,7,2,6,3,5]=>0011010=>[3,1,2,2] [1,5,8,7,2,6,3,4]=>0011010=>[3,1,2,2] [1,5,8,2,7,6,4,3]=>0010111=>[3,2,1,1,1] [2,5,8,3,7,6,4,1]=>0010111=>[3,2,1,1,1] [1,4,2,8,7,6,5,3]=>0101111=>[2,2,1,1,1,1] [1,3,8,2,7,6,4,5]=>0010110=>[3,2,1,2] [1,8,3,2,7,5,4,6]=>0110110=>[2,1,2,1,2] [8,1,3,2,6,5,4,7]=>1010110=>[1,2,2,1,2] [8,2,3,1,6,5,4,7]=>1010110=>[1,2,2,1,2] [2,8,3,1,7,5,4,6]=>0110110=>[2,1,2,1,2] [2,3,8,1,7,6,4,5]=>0010110=>[3,2,1,2] [3,4,1,8,7,6,5,2]=>0101111=>[2,2,1,1,1,1] [4,3,1,8,7,6,5,2]=>1101111=>[1,1,2,1,1,1,1] [4,2,1,8,7,6,5,3]=>1101111=>[1,1,2,1,1,1,1] [3,8,2,1,7,5,4,6]=>0110110=>[2,1,2,1,2] [8,3,2,1,6,5,4,7]=>1110110=>[1,1,1,2,1,2] [8,4,2,6,1,5,3,7]=>1101010=>[1,1,2,2,2] [4,2,8,7,1,6,3,5]=>1011010=>[1,2,1,2,2] [5,2,8,7,1,6,3,4]=>1011010=>[1,2,1,2,2] [5,2,8,1,7,6,4,3]=>1010111=>[1,2,2,1,1,1] [5,3,8,1,7,6,4,2]=>1010111=>[1,2,2,1,1,1] [5,3,8,2,7,6,4,1]=>1010111=>[1,2,2,1,1,1] [6,8,3,2,7,5,4,1]=>0110111=>[2,1,2,1,1,1] [6,8,3,1,7,5,4,2]=>0110111=>[2,1,2,1,1,1] [6,8,2,1,7,5,4,3]=>0110111=>[2,1,2,1,1,1] [6,8,2,7,1,5,3,4]=>0101010=>[2,2,2,2] [6,8,7,2,1,4,3,5]=>0111010=>[2,1,1,2,2] [8,5,6,1,2,4,3,7]=>1010010=>[1,2,3,2] [5,8,7,1,2,4,3,6]=>0110010=>[2,1,3,2] [6,8,1,2,7,5,4,3]=>0100111=>[2,3,1,1,1] [6,8,2,3,7,5,4,1]=>0100111=>[2,3,1,1,1] [5,2,8,3,7,6,4,1]=>1010111=>[1,2,2,1,1,1] [5,1,8,3,7,6,4,2]=>1010111=>[1,2,2,1,1,1] [5,1,8,7,2,6,3,4]=>1011010=>[1,2,1,2,2] [4,1,8,7,2,6,3,5]=>1011010=>[1,2,1,2,2] [4,8,1,7,2,5,3,6]=>0101010=>[2,2,2,2] [8,4,1,6,2,5,3,7]=>1101010=>[1,1,2,2,2] [8,3,1,2,6,5,4,7]=>1100110=>[1,1,3,1,2] [3,8,1,2,7,5,4,6]=>0100110=>[2,3,1,2] [3,1,8,2,7,6,4,5]=>1010110=>[1,2,2,1,2] [3,1,2,8,7,6,5,4]=>1001111=>[1,3,1,1,1,1] [4,1,3,8,7,6,5,2]=>1001111=>[1,3,1,1,1,1] [3,1,4,8,7,6,5,2]=>1001111=>[1,3,1,1,1,1] [2,1,8,3,7,6,4,5]=>1010110=>[1,2,2,1,2] [2,8,1,3,7,5,4,6]=>0100110=>[2,3,1,2] [8,2,1,3,6,5,4,7]=>1100110=>[1,1,3,1,2] [8,1,2,3,6,5,4,7]=>1000110=>[1,4,1,2] [1,8,2,3,7,5,4,6]=>0100110=>[2,3,1,2] [1,2,8,3,7,6,4,5]=>0010110=>[3,2,1,2] [1,4,3,6,8,2,5,7]=>0100100=>[2,3,3] [3,1,6,2,5,8,4,7]=>1010010=>[1,2,3,2] [3,5,1,8,2,4,7,6]=>0101001=>[2,2,3,1] [1,4,5,2,8,3,7,6]=>0010101=>[3,2,2,1] [1,4,2,6,5,8,3,7]=>0101010=>[2,2,2,2] [1,5,4,2,6,8,3,7]=>0110010=>[2,1,3,2] [3,1,6,5,8,2,4,7]=>1010100=>[1,2,2,3] [1,6,4,2,5,8,3,7]=>0110010=>[2,1,3,2] [1,5,2,6,4,8,3,7]=>0101010=>[2,2,2,2] [1,2,6,5,4,8,3,7]=>0011010=>[3,1,2,2] [1,2,5,4,7,3,8,6]=>0010101=>[3,2,2,1] [4,1,2,6,3,8,7,5]=>1001011=>[1,3,2,1,1] [7,1,5,4,2,8,3,6]=>1011010=>[1,2,1,2,2] [1,4,7,5,2,8,3,6]=>0011010=>[3,1,2,2] [7,1,3,5,2,8,4,6]=>1001010=>[1,3,2,2] [7,2,5,1,8,3,4,6]=>1010100=>[1,2,2,3] [1,4,5,2,8,7,3,6]=>0010110=>[3,2,1,2] [1,6,4,2,8,3,7,5]=>0110101=>[2,1,2,2,1] [1,4,2,8,3,7,6,5]=>0101011=>[2,2,2,1,1] [1,2,5,3,8,7,6,4]=>0010111=>[3,2,1,1,1] [1,2,8,6,5,3,7,4]=>0011101=>[3,1,1,2,1] [1,5,2,8,6,3,7,4]=>0101101=>[2,2,1,2,1] [1,6,4,2,8,7,3,5]=>0110110=>[2,1,2,1,2] [6,2,1,8,7,3,4,5]=>1101100=>[1,1,2,1,3] [7,6,2,1,8,3,4,5]=>1110100=>[1,1,1,2,3] [7,3,1,6,2,8,4,5]=>1101010=>[1,1,2,2,2] [1,7,6,4,2,8,3,5]=>0111010=>[2,1,1,2,2] [1,7,5,2,6,3,8,4]=>0110101=>[2,1,2,2,1] [1,6,2,7,5,3,8,4]=>0101101=>[2,2,1,2,1] [1,2,7,6,5,3,8,4]=>0011101=>[3,1,1,2,1] [1,2,6,5,3,8,7,4]=>0011011=>[3,1,2,1,1] [1,5,2,6,3,8,7,4]=>0101011=>[2,2,2,1,1] [1,5,2,7,6,3,8,4]=>0101101=>[2,2,1,2,1] [1,6,5,2,7,3,8,4]=>0110101=>[2,1,2,2,1] [1,5,7,4,2,8,3,6]=>0011010=>[3,1,2,2] [4,1,2,8,6,3,7,5]=>1001101=>[1,3,1,2,1] [3,1,8,6,2,4,7,5]=>1011001=>[1,2,1,3,1] [4,3,7,1,8,2,5,6]=>1010100=>[1,2,2,3] [8,3,1,6,2,4,7,5]=>1101001=>[1,1,2,3,1] [7,1,8,3,2,4,6,5]=>1011001=>[1,2,1,3,1] [1,8,7,3,2,4,6,5]=>0111001=>[2,1,1,3,1] [1,4,2,8,7,3,6,5]=>0101101=>[2,2,1,2,1] [1,7,4,2,8,3,6,5]=>0110101=>[2,1,2,2,1] [8,1,5,4,2,7,3,6]=>1011010=>[1,2,1,2,2] [1,4,8,5,2,7,3,6]=>0011010=>[3,1,2,2] [8,5,3,1,7,2,4,6]=>1110100=>[1,1,1,2,3] [8,6,2,1,7,3,4,5]=>1110100=>[1,1,1,2,3] [1,8,6,4,2,7,3,5]=>0111010=>[2,1,1,2,2] [1,8,5,2,6,3,7,4]=>0110101=>[2,1,2,2,1] [1,5,2,7,3,8,6,4]=>0101011=>[2,2,2,1,1] [1,2,8,5,3,7,6,4]=>0011011=>[3,1,2,1,1] [1,2,6,3,8,7,5,4]=>0010111=>[3,2,1,1,1] [1,2,7,6,3,8,5,4]=>0011011=>[3,1,2,1,1] [1,6,2,7,3,8,5,4]=>0101011=>[2,2,2,1,1] [1,7,2,8,5,3,6,4]=>0101101=>[2,2,1,2,1] [1,7,4,2,8,6,3,5]=>0110110=>[2,1,2,1,2] [7,1,8,3,2,6,4,5]=>1011010=>[1,2,1,2,2] [7,2,1,8,6,3,4,5]=>1101100=>[1,1,2,1,3] [1,8,7,3,2,6,4,5]=>0111010=>[2,1,1,2,2] [1,4,2,8,7,6,3,5]=>0101110=>[2,2,1,1,2] [1,2,8,7,5,3,6,4]=>0011101=>[3,1,1,2,1] [1,2,8,6,3,7,5,4]=>0011011=>[3,1,2,1,1] [1,2,7,3,8,6,5,4]=>0010111=>[3,2,1,1,1] [4,1,7,3,6,5,8,2]=>1010101=>[1,2,2,2,1] [5,1,8,7,6,2,4,3]=>1011101=>[1,2,1,1,2,1] [8,1,7,6,3,4,5,2]=>1011001=>[1,2,1,3,1] [5,7,8,6,2,4,1,3]=>0011010=>[3,1,2,2] [5,7,1,6,2,4,3,8]=>0101010=>[2,2,2,2] [6,4,1,5,2,7,3,8]=>1101010=>[1,1,2,2,2] [8,1,4,5,3,7,6,2]=>1001011=>[1,3,2,1,1] [6,1,4,5,3,8,7,2]=>1001011=>[1,3,2,1,1] [6,1,4,5,3,7,8,2]=>1001001=>[1,3,3,1] [5,1,7,8,6,2,4,3]=>1001101=>[1,3,1,2,1] [6,1,4,8,3,5,7,2]=>1001001=>[1,3,3,1] [7,1,8,6,3,4,5,2]=>1011001=>[1,2,1,3,1] [7,1,4,5,3,8,6,2]=>1001011=>[1,3,2,1,1] [7,1,4,5,3,6,8,2]=>1001001=>[1,3,3,1] [8,1,4,5,3,6,7,2]=>1001001=>[1,3,3,1] [7,4,1,5,2,6,3,8]=>1101010=>[1,1,2,2,2] [6,3,5,7,2,1,4,8]=>1001100=>[1,3,1,3] [6,3,5,8,2,1,7,4]=>1001101=>[1,3,1,2,1] [6,3,5,7,2,1,8,4]=>1001101=>[1,3,1,2,1] [8,4,5,7,3,6,1,2]=>1001010=>[1,3,2,2] [6,4,5,8,3,7,2,1]=>1001011=>[1,3,2,1,1] [5,8,7,6,2,4,1,3]=>0111010=>[2,1,1,2,2] [5,4,8,6,3,1,7,2]=>1011101=>[1,2,1,1,2,1] [5,4,1,8,2,3,7,6]=>1101001=>[1,1,2,3,1] [5,8,1,6,2,4,3,7]=>0101010=>[2,2,2,2] [8,4,1,5,2,6,3,7]=>1101010=>[1,1,2,2,2] [6,3,5,8,2,1,4,7]=>1001100=>[1,3,1,3] [2,3,4,1,8,6,5,7]=>0010110=>[3,2,1,2] [8,3,5,6,2,1,4,7]=>1001100=>[1,3,1,3] [2,3,8,5,1,4,7,6]=>0011001=>[3,1,3,1] [2,3,8,6,1,5,7,4]=>0011001=>[3,1,3,1] [2,8,6,7,1,3,5,4]=>0101001=>[2,2,3,1] [8,3,5,7,2,1,6,4]=>1001101=>[1,3,1,2,1] [2,3,8,5,6,1,7,4]=>0010101=>[3,2,2,1] [7,4,5,6,3,1,8,2]=>1001101=>[1,3,1,2,1] [8,4,5,6,3,1,7,2]=>1001101=>[1,3,1,2,1] [7,3,5,6,2,8,1,4]=>1001010=>[1,3,2,2] [7,3,5,8,2,1,6,4]=>1001101=>[1,3,1,2,1] [7,3,5,6,2,1,4,8]=>1001100=>[1,3,1,3] [2,7,6,5,1,3,4,8]=>0111000=>[2,1,1,4] [2,7,6,8,1,3,5,4]=>0101001=>[2,2,3,1] [2,7,6,5,8,3,1,4]=>0110110=>[2,1,2,1,2] [8,7,5,6,1,4,2,3]=>1101010=>[1,1,2,2,2] [2,6,4,1,8,5,7,3]=>0110101=>[2,1,2,2,1] [2,6,1,3,8,5,7,4]=>0100101=>[2,3,2,1] [2,7,1,3,6,5,8,4]=>0100101=>[2,3,2,1] [2,7,6,8,4,3,1,5]=>0101110=>[2,2,1,1,2] [2,7,6,1,8,3,4,5]=>0110100=>[2,1,2,3] [2,7,6,1,4,3,5,8]=>0110100=>[2,1,2,3] [7,3,5,1,2,8,4,6]=>1010010=>[1,2,3,2] [8,4,1,5,2,3,7,6]=>1101001=>[1,1,2,3,1] [7,8,1,6,3,4,2,5]=>0101010=>[2,2,2,2] [6,4,1,8,3,2,7,5]=>1101101=>[1,1,2,1,2,1] [2,3,8,6,4,1,7,5]=>0011101=>[3,1,1,2,1] [2,8,6,7,4,3,1,5]=>0101110=>[2,2,1,1,2] [8,3,5,7,2,4,1,6]=>1001010=>[1,3,2,2] [2,3,4,1,8,7,5,6]=>0010110=>[3,2,1,2] [2,8,6,1,7,3,4,5]=>0110100=>[2,1,2,3] [2,3,8,1,6,4,7,5]=>0010101=>[3,2,2,1] [2,3,8,1,4,5,7,6]=>0010001=>[3,4,1] [2,8,6,1,4,3,5,7]=>0110100=>[2,1,2,3] [1,2,3,4,5,6,7,9,8]=>00000001=>[8,1] [2,1,3,4,5,6,7,8,9]=>10000000=>[1,8] [1,2,3,4,5,6,7,8,10,9]=>000000001=>[9,1] [2,1,3,4,5,6,7,8,9,10]=>100000000=>[1,9] [1,2,3,4,5,6,7,8,9,11,10]=>0000000001=>[10,1] [9,1,2,3,4,5,6,7,10,8]=>100000001=>[1,8,1] [1,8,2,3,4,5,6,9,7]=>01000001=>[2,6,1] [7,1,2,3,4,5,6,9,8]=>10000001=>[1,7,1] [2,1,9,3,4,5,6,7,8]=>10100000=>[1,2,6] [2,8,1,3,4,5,6,7,9]=>01000000=>[2,7] [2,10,1,3,4,5,6,7,8,9]=>010000000=>[2,8] [2,1,3,4,5,6,7,8,9,10,11]=>1000000000=>[1,10] [8,4,3,6,5,1,7,2]=>1101101=>[1,1,2,1,2,1] [8,5,6,3,4,1,7,2]=>1010101=>[1,2,2,2,1] [8,6,5,4,3,1,7,2]=>1111101=>[1,1,1,1,1,2,1] [1,7,6,5,4,2,3,8]=>0111100=>[2,1,1,1,3] [1,8,6,5,2,7,3,4]=>0111010=>[2,1,1,2,2] [8,7,5,4,1,6,3,2]=>1111011=>[1,1,1,1,2,1,1] [7,8,5,4,1,3,6,2]=>0111001=>[2,1,1,3,1] [6,8,5,4,2,1,7,3]=>0111101=>[2,1,1,1,2,1] [5,8,6,2,4,1,7,3]=>0110101=>[2,1,2,2,1] [4,8,2,6,5,1,7,3]=>0101101=>[2,2,1,2,1] [3,2,8,6,5,1,7,4]=>1011101=>[1,2,1,1,2,1] [3,2,1,7,6,4,5,8]=>1101100=>[1,1,2,1,3] [4,1,3,7,6,2,5,8]=>1001100=>[1,3,1,3] [5,1,7,3,6,2,4,8]=>1010100=>[1,2,2,3] [6,1,7,5,3,2,4,8]=>1011100=>[1,2,1,1,3] [7,1,6,5,2,4,3,8]=>1011010=>[1,2,1,2,2] [8,1,6,5,2,3,7,4]=>1011001=>[1,2,1,3,1] [1,2,7,6,3,4,5,8]=>0011000=>[3,1,4] [1,2,8,3,7,4,5,6]=>0010100=>[3,2,3] [8,1,7,2,6,3,5,4]=>1010101=>[1,2,2,2,1] [7,1,8,2,6,4,3,5]=>1010110=>[1,2,2,1,2] [6,1,8,2,4,7,3,5]=>1010010=>[1,2,3,2] [5,1,8,3,2,7,4,6]=>1011010=>[1,2,1,2,2] [4,1,3,8,2,7,5,6]=>1001010=>[1,3,2,2] [3,2,1,8,4,7,5,6]=>1101010=>[1,1,2,2,2] [3,2,8,7,1,6,5,4]=>1011011=>[1,2,1,2,1,1] [4,8,2,7,1,6,5,3]=>0101011=>[2,2,2,1,1] [5,8,7,2,1,6,4,3]=>0111011=>[2,1,1,2,1,1] [6,8,7,1,3,5,4,2]=>0110011=>[2,1,3,1,1] [7,8,6,1,5,3,4,2]=>0110101=>[2,1,2,2,1] [8,7,6,1,5,4,3,2]=>1110111=>[1,1,1,2,1,1,1] [1,8,7,2,6,5,3,4]=>0110110=>[2,1,2,1,2] [1,7,8,2,5,6,3,4]=>0010010=>[3,3,2] [8,6,7,1,4,5,3,2]=>1010011=>[1,2,3,1,1] [7,6,8,1,4,3,5,2]=>1010101=>[1,2,2,2,1] [6,5,8,3,2,1,7,4]=>1011101=>[1,2,1,1,2,1] [7,5,8,3,1,4,6,2]=>1011001=>[1,2,1,3,1] [8,5,7,3,1,6,4,2]=>1011011=>[1,2,1,2,1,1] [1,6,8,4,2,7,3,5]=>0011010=>[3,1,2,2] [1,5,4,8,2,7,3,6]=>0101010=>[2,2,2,2] [8,4,3,7,1,6,5,2]=>1101011=>[1,1,2,2,1,1] [7,4,3,8,1,5,6,2]=>1101001=>[1,1,2,3,1] [6,4,3,1,5,2,7,8]=>1110100=>[1,1,1,2,3] [7,4,3,1,2,6,5,8]=>1110010=>[1,1,1,3,2] [8,4,3,1,2,5,7,6]=>1110001=>[1,1,1,4,1] [1,5,4,2,3,6,7,8]=>0110000=>[2,1,5] [8,5,1,4,2,3,7,6]=>1101001=>[1,1,2,3,1] [7,5,1,4,2,6,3,8]=>1101010=>[1,1,2,2,2] [6,5,1,4,3,2,7,8]=>1101100=>[1,1,2,1,3] [5,6,1,3,4,2,7,8]=>0100100=>[2,3,3] [4,6,2,1,5,3,7,8]=>0110100=>[2,1,2,3] [3,2,6,1,5,4,7,8]=>1010100=>[1,2,2,3] [3,2,7,1,4,6,5,8]=>1010010=>[1,2,3,2] [4,7,2,1,3,6,5,8]=>0110010=>[2,1,3,2] [5,7,1,3,2,6,4,8]=>0101010=>[2,2,2,2] [6,7,1,2,4,5,3,8]=>0100010=>[2,4,2] [7,6,1,2,5,4,3,8]=>1100110=>[1,1,3,1,2] [8,6,1,2,5,3,7,4]=>1100101=>[1,1,3,2,1] [1,7,2,3,6,4,5,8]=>0100100=>[2,3,3] [8,7,1,2,3,6,5,4]=>1100011=>[1,1,4,1,1] [7,8,1,2,3,5,6,4]=>0100001=>[2,5,1] [6,8,1,2,4,3,7,5]=>0100101=>[2,3,2,1] [5,8,1,3,2,4,7,6]=>0101001=>[2,2,3,1] [4,8,2,1,3,5,7,6]=>0110001=>[2,1,4,1] [3,2,8,1,4,5,7,6]=>1010001=>[1,2,4,1] [4,1,3,2,5,6,7,8]=>1010000=>[1,2,5] [5,1,2,4,3,6,7,8]=>1001000=>[1,3,4] [6,1,2,3,5,4,7,8]=>1000100=>[1,4,3] [7,1,2,3,4,6,5,8]=>1000010=>[1,5,2] [8,1,2,3,4,5,7,6]=>1000001=>[1,6,1] [6,7,3,8,5,1,2,4]=>0101100=>[2,2,1,3] [6,7,4,5,1,8,3,2]=>0101011=>[2,2,2,1,1] [5,4,7,6,8,1,2,3]=>1010100=>[1,2,2,3] [5,3,7,8,6,1,2,4]=>1001100=>[1,3,1,3] [3,8,4,5,7,1,2,6]=>0100100=>[2,3,3] [3,4,8,6,7,1,2,5]=>0010100=>[3,2,3] [4,5,6,7,1,8,3,2]=>0001011=>[4,2,1,1] [3,5,6,2,7,4,8,1]=>0010101=>[3,2,2,1] [3,5,6,1,7,8,4,2]=>0010011=>[3,3,1,1] [2,5,6,1,8,7,4,3]=>0010111=>[3,2,1,1,1] [2,5,6,8,1,7,3,4]=>0001010=>[4,2,2] [8,2,4,5,1,6,3,7]=>1001010=>[1,3,2,2] [1,4,8,6,2,3,7,5]=>0011001=>[3,1,3,1] [1,5,6,8,2,3,7,4]=>0001001=>[4,3,1] [1,5,6,2,8,4,7,3]=>0010101=>[3,2,2,1] [2,5,6,3,4,7,8,1]=>0010001=>[3,4,1] [1,4,2,6,8,5,7,3]=>0100101=>[2,3,2,1] [8,1,3,2,5,4,6,7]=>1010100=>[1,2,2,3] [8,2,3,1,5,6,4,7]=>1010010=>[1,2,3,2] [2,8,3,1,5,7,4,6]=>0110010=>[2,1,3,2] [2,4,1,6,8,7,5,3]=>0100111=>[2,3,1,1,1] [3,4,1,6,7,8,5,2]=>0100011=>[2,4,1,1] [4,3,1,7,6,8,5,2]=>1101011=>[1,1,2,2,1,1] [5,2,7,8,1,6,3,4]=>1001010=>[1,3,2,2] [5,3,7,2,6,4,8,1]=>1010101=>[1,2,2,2,1] [6,7,3,1,5,8,4,2]=>0110011=>[2,1,3,1,1] [6,7,2,1,8,5,4,3]=>0110111=>[2,1,2,1,1,1] [6,7,2,8,1,5,3,4]=>0101010=>[2,2,2,2] [6,7,8,2,1,4,3,5]=>0011010=>[3,1,2,2] [6,7,1,2,8,4,5,3]=>0100101=>[2,3,2,1] [6,7,1,3,4,8,5,2]=>0100011=>[2,4,1,1] [5,2,7,3,4,6,8,1]=>1010001=>[1,2,4,1] [5,1,7,3,4,8,6,2]=>1010011=>[1,2,3,1,1] [5,1,7,8,2,3,6,4]=>1001001=>[1,3,3,1] [4,1,8,7,2,3,6,5]=>1011001=>[1,2,1,3,1] [3,8,1,2,7,4,5,6]=>0100100=>[2,3,3] [4,1,3,7,5,8,6,2]=>1001011=>[1,3,2,1,1] [3,1,4,5,7,8,6,2]=>1000011=>[1,5,1,1] [2,1,8,3,4,7,6,5]=>1010011=>[1,2,3,1,1] [8,2,1,3,4,6,5,7]=>1100010=>[1,1,4,2] [1,8,2,3,4,5,7,6]=>0100001=>[2,5,1] [1,2,8,3,4,6,7,5]=>0010001=>[3,4,1] [4,2,1,6,5,8,7,3]=>1101011=>[1,1,2,2,1,1] [5,2,6,1,4,8,7,3]=>1010011=>[1,2,3,1,1] [5,2,6,4,1,8,7,3]=>1011011=>[1,2,1,2,1,1] [5,2,7,4,8,1,6,3]=>1010101=>[1,2,2,2,1] [5,2,7,4,8,6,1,3]=>1010110=>[1,2,2,1,2] [5,7,2,3,8,6,1,4]=>0100110=>[2,3,1,2] [5,7,2,3,8,1,6,4]=>0100101=>[2,3,2,1] [5,6,2,3,1,8,7,4]=>0101011=>[2,2,2,1,1] [5,6,2,1,3,8,7,4]=>0110011=>[2,1,3,1,1] [5,1,6,4,2,8,7,3]=>1011011=>[1,2,1,2,1,1] [5,6,1,3,2,8,7,4]=>0101011=>[2,2,2,1,1] [5,6,3,1,2,8,7,4]=>0110011=>[2,1,3,1,1] [5,6,3,2,1,8,7,4]=>0111011=>[2,1,1,2,1,1] [5,7,3,2,8,1,6,4]=>0110101=>[2,1,2,2,1] [5,7,3,2,8,6,1,4]=>0110110=>[2,1,2,1,2] [6,7,3,8,2,1,5,4]=>0101101=>[2,2,1,2,1] [6,7,3,8,1,2,5,4]=>0101001=>[2,2,3,1] [5,7,3,1,8,2,6,4]=>0110101=>[2,1,2,2,1] [5,7,1,3,8,2,6,4]=>0100101=>[2,3,2,1] [5,1,7,4,8,2,6,3]=>1010101=>[1,2,2,2,1] [1,5,7,4,8,3,6,2]=>0010101=>[3,2,2,1] [1,5,7,4,8,6,3,2]=>0010111=>[3,2,1,1,1] [5,1,7,4,8,6,2,3]=>1010110=>[1,2,2,1,2] [5,7,1,3,8,6,2,4]=>0100110=>[2,3,1,2] [5,7,3,1,8,6,2,4]=>0110110=>[2,1,2,1,2] [6,7,3,8,1,5,2,4]=>0101010=>[2,2,2,2] [6,7,3,8,5,2,1,4]=>0101110=>[2,2,1,1,2] [6,7,8,3,1,4,2,5]=>0011010=>[3,1,2,2] [6,7,1,8,3,5,2,4]=>0101010=>[2,2,2,2] [6,1,7,8,4,5,2,3]=>1001010=>[1,3,2,2] [1,6,7,8,4,5,3,2]=>0001011=>[4,2,1,1] [1,6,7,8,4,3,5,2]=>0001101=>[4,1,2,1] [6,1,7,8,4,2,5,3]=>1001101=>[1,3,1,2,1] [6,7,1,8,3,2,5,4]=>0101101=>[2,2,1,2,1] [5,7,2,1,8,3,6,4]=>0110101=>[2,1,2,2,1] [6,7,2,8,1,3,5,4]=>0101001=>[2,2,3,1] [6,7,2,8,3,1,5,4]=>0101101=>[2,2,1,2,1] [6,7,2,8,3,5,1,4]=>0101010=>[2,2,2,2] [6,2,7,8,4,5,1,3]=>1001010=>[1,3,2,2] [6,2,7,8,4,1,5,3]=>1001101=>[1,3,1,2,1] [6,2,7,8,1,4,5,3]=>1001001=>[1,3,3,1] [5,2,7,1,8,4,6,3]=>1010101=>[1,2,2,2,1] [4,2,1,7,8,5,6,3]=>1100101=>[1,1,3,2,1] [4,1,2,7,8,6,5,3]=>1000111=>[1,4,1,1,1] [6,2,7,8,1,5,4,3]=>1001011=>[1,3,2,1,1] [6,2,7,8,5,1,4,3]=>1001101=>[1,3,1,2,1] [6,2,7,8,5,4,1,3]=>1001110=>[1,3,1,1,2] [6,7,2,8,5,3,1,4]=>0101110=>[2,2,1,1,2] [5,7,2,1,8,6,3,4]=>0110110=>[2,1,2,1,2] [5,7,1,2,8,6,3,4]=>0100110=>[2,3,1,2] [5,1,7,2,8,6,4,3]=>1010111=>[1,2,2,1,1,1] [1,5,7,3,8,6,4,2]=>0010111=>[3,2,1,1,1] [1,6,7,8,3,5,4,2]=>0001011=>[4,2,1,1] [6,1,7,8,2,5,4,3]=>1001011=>[1,3,2,1,1] [6,7,1,8,2,5,3,4]=>0101010=>[2,2,2,2] [6,7,8,2,4,1,3,5]=>0010100=>[3,2,3] [6,7,8,2,4,3,1,5]=>0010110=>[3,2,1,2] [6,7,1,8,5,2,3,4]=>0101100=>[2,2,1,3] [6,1,7,8,5,2,4,3]=>1001101=>[1,3,1,2,1] [1,6,7,8,5,3,4,2]=>0001101=>[4,1,2,1] [6,1,7,8,5,4,2,3]=>1001110=>[1,3,1,1,2] [6,7,1,8,5,3,2,4]=>0101110=>[2,2,1,1,2] [6,7,8,4,1,3,2,5]=>0011010=>[3,1,2,2] [6,3,8,5,2,7,4,1]=>1011011=>[1,2,1,2,1,1] [6,5,2,8,4,7,3,1]=>1101011=>[1,1,2,2,1,1] [6,3,4,5,8,7,2,1]=>1000111=>[1,4,1,1,1] [3,8,4,7,5,2,1,6]=>0101110=>[2,2,1,1,2] [5,8,1,4,7,2,3,6]=>0100100=>[2,3,3] [5,6,1,4,8,7,3,2]=>0100111=>[2,3,1,1,1] [3,6,4,8,5,7,1,2]=>0101010=>[2,2,2,2] [5,1,4,8,6,3,7,2]=>1001101=>[1,3,1,2,1] [3,4,7,1,8,6,5,2]=>0010111=>[3,2,1,1,1] [6,3,8,4,2,7,1,5]=>1011010=>[1,2,1,2,2] [3,6,8,7,1,4,2,5]=>0011010=>[3,1,2,2] [5,3,7,1,6,8,2,4]=>1010010=>[1,2,3,2] [4,3,8,5,6,7,2,1]=>1010011=>[1,2,3,1,1] [5,8,1,7,6,2,4,3]=>0101101=>[2,2,1,2,1] [4,6,1,2,7,8,5,3]=>0100011=>[2,4,1,1] [3,6,4,2,8,7,5,1]=>0110111=>[2,1,2,1,1,1] [6,3,7,5,2,8,1,4]=>1011010=>[1,2,1,2,2] [6,5,2,7,4,8,1,3]=>1101010=>[1,1,2,2,2] [5,7,1,4,8,3,2,6]=>0100110=>[2,3,1,2] [7,8,3,5,1,4,6,2]=>0101001=>[2,2,3,1] [5,8,1,4,6,7,2,3]=>0100010=>[2,4,2] [6,5,8,4,3,7,2,1]=>1011011=>[1,2,1,2,1,1] [6,3,7,4,2,8,5,1]=>1011011=>[1,2,1,2,1,1] [8,7,1,6,2,4,5,3]=>1101001=>[1,1,2,3,1] [3,8,6,7,1,4,5,2]=>0101001=>[2,2,3,1] [5,3,8,7,4,1,2,6]=>1011100=>[1,2,1,1,3] [4,3,8,7,1,5,6,2]=>1011001=>[1,2,1,3,1] [8,3,6,1,2,5,7,4]=>1010001=>[1,2,4,1] [5,6,1,8,7,3,2,4]=>0101110=>[2,2,1,1,2] [5,4,2,7,3,6,8,1]=>1101001=>[1,1,2,3,1] [7,5,3,6,4,2,8,1]=>1101101=>[1,1,2,1,2,1] [6,4,1,5,3,8,2,7]=>1101010=>[1,1,2,2,2] [8,2,6,3,4,7,5,1]=>1010011=>[1,2,3,1,1] [7,2,6,3,5,4,8,1]=>1010101=>[1,2,2,2,1] [6,2,7,4,3,5,8,1]=>1011001=>[1,2,1,3,1] [3,7,6,4,5,2,8,1]=>0110101=>[2,1,2,2,1] [2,7,6,5,3,4,8,1]=>0111001=>[2,1,1,3,1] [6,5,4,3,1,8,2,7]=>1111010=>[1,1,1,1,2,2] [8,6,5,4,2,7,3,1]=>1111011=>[1,1,1,1,2,1,1] [8,5,4,1,7,2,6,3]=>1110101=>[1,1,1,2,2,1] [7,5,4,1,8,3,2,6]=>1110110=>[1,1,1,2,1,2] [1,6,5,2,8,3,4,7]=>0110100=>[2,1,2,3] [1,6,5,3,4,8,2,7]=>0110010=>[2,1,3,2] [5,4,6,3,1,8,2,7]=>1011010=>[1,2,1,2,2] [6,5,8,4,2,7,3,1]=>1011011=>[1,2,1,2,1,1] [5,8,2,6,4,7,3,1]=>0101011=>[2,2,2,1,1] [7,8,5,3,2,6,4,1]=>0111011=>[2,1,1,2,1,1] [6,8,3,1,7,2,5,4]=>0110101=>[2,1,2,2,1] [1,8,6,3,7,5,2,4]=>0110110=>[2,1,2,1,2] [8,7,5,2,6,4,3,1]=>1110111=>[1,1,1,2,1,1,1] [8,7,1,6,2,5,4,3]=>1101011=>[1,1,2,2,1,1] [2,8,1,7,3,5,6,4]=>0101001=>[2,2,3,1] [4,8,1,3,7,2,6,5]=>0100101=>[2,3,2,1] [4,2,8,5,7,3,6,1]=>1010101=>[1,2,2,2,1] [5,1,7,6,8,3,2,4]=>1010110=>[1,2,2,1,2] [6,7,3,1,8,4,2,5]=>0110110=>[2,1,2,1,2] [1,7,3,8,4,5,2,6]=>0101010=>[2,2,2,2] [1,7,2,8,5,3,4,6]=>0101100=>[2,2,1,3] [7,6,1,8,4,3,2,5]=>1101110=>[1,1,2,1,1,2] [8,6,1,7,4,2,5,3]=>1101101=>[1,1,2,1,2,1] [8,1,2,7,3,4,6,5]=>1001001=>[1,3,3,1] [7,1,2,8,3,5,4,6]=>1001010=>[1,3,2,2] [8,2,6,1,7,3,5,4]=>1010101=>[1,2,2,2,1] [8,3,1,4,7,5,6,2]=>1100101=>[1,1,3,2,1] [4,2,1,5,8,3,6,7]=>1100100=>[1,1,3,3] [5,4,3,1,6,8,2,7]=>1110010=>[1,1,1,3,2] [4,7,5,6,8,3,2,1]=>0100111=>[2,3,1,1,1] [6,5,4,8,2,7,3,1]=>1101011=>[1,1,2,2,1,1] [6,5,1,8,7,4,2,3]=>1101110=>[1,1,2,1,1,2] [8,6,4,7,5,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [5,1,8,3,7,6,2,4]=>1010110=>[1,2,2,1,2] [5,4,8,1,7,2,6,3]=>1010101=>[1,2,2,2,1] [3,6,8,2,4,7,5,1]=>0010011=>[3,3,1,1] [5,7,3,8,2,6,4,1]=>0101011=>[2,2,2,1,1] [4,7,2,8,6,3,5,1]=>0101101=>[2,2,1,2,1] [2,3,8,7,4,5,6,1]=>0011001=>[3,1,3,1] [7,2,8,6,4,3,5,1]=>1011101=>[1,2,1,1,2,1] [2,1,8,7,5,6,3,4]=>1011010=>[1,2,1,2,2] [8,2,7,6,3,5,4,1]=>1011011=>[1,2,1,2,1,1] [8,1,7,6,5,2,4,3]=>1011101=>[1,2,1,1,2,1] [7,1,8,6,5,3,2,4]=>1011110=>[1,2,1,1,1,2] [1,2,8,7,6,3,4,5]=>0011100=>[3,1,1,3] [1,3,8,7,4,6,2,5]=>0011010=>[3,1,2,2] [5,1,6,8,7,4,2,3]=>1001110=>[1,3,1,1,2] [6,8,4,7,5,3,2,1]=>0101111=>[2,2,1,1,1,1] [6,8,7,2,5,4,3,1]=>0110111=>[2,1,2,1,1,1] [3,8,7,6,4,5,2,1]=>0111011=>[2,1,1,2,1,1] [2,8,7,6,5,3,4,1]=>0111101=>[2,1,1,1,2,1] [1,8,7,6,5,4,2,3]=>0111110=>[2,1,1,1,1,2] [5,8,6,7,3,4,1,2]=>0101010=>[2,2,2,2] [4,8,6,7,3,5,1,2]=>0101010=>[2,2,2,2] [3,8,6,7,4,5,1,2]=>0101010=>[2,2,2,2] [2,8,6,7,4,5,1,3]=>0101010=>[2,2,2,2] [1,8,6,7,4,5,2,3]=>0101010=>[2,2,2,2] [1,8,5,7,4,6,2,3]=>0101010=>[2,2,2,2] [3,8,5,7,4,6,1,2]=>0101010=>[2,2,2,2] [4,8,5,7,3,6,1,2]=>0101010=>[2,2,2,2] [7,8,3,6,4,5,1,2]=>0101010=>[2,2,2,2] [6,8,3,7,4,5,1,2]=>0101010=>[2,2,2,2] [5,8,3,7,4,6,1,2]=>0101010=>[2,2,2,2] [3,7,4,8,5,6,1,2]=>0101010=>[2,2,2,2] [4,7,3,8,5,6,1,2]=>0101010=>[2,2,2,2] [4,7,2,8,5,6,1,3]=>0101010=>[2,2,2,2] [4,7,1,8,5,6,2,3]=>0101010=>[2,2,2,2] [3,7,1,8,5,6,2,4]=>0101010=>[2,2,2,2] [3,7,2,8,5,6,1,4]=>0101010=>[2,2,2,2] [2,7,3,8,5,6,1,4]=>0101010=>[2,2,2,2] [2,7,4,8,5,6,1,3]=>0101010=>[2,2,2,2] [5,8,2,7,4,6,1,3]=>0101010=>[2,2,2,2] [6,8,2,7,4,5,1,3]=>0101010=>[2,2,2,2] [7,8,2,6,4,5,1,3]=>0101010=>[2,2,2,2] [7,8,1,6,4,5,2,3]=>0101010=>[2,2,2,2] [6,8,1,7,4,5,2,3]=>0101010=>[2,2,2,2] [5,8,1,7,4,6,2,3]=>0101010=>[2,2,2,2] [1,7,4,8,5,6,2,3]=>0101010=>[2,2,2,2] [1,7,3,8,5,6,2,4]=>0101010=>[2,2,2,2] [2,8,5,6,1,7,3,4]=>0101010=>[2,2,2,2] [1,8,5,6,2,7,3,4]=>0101010=>[2,2,2,2] [1,7,3,8,4,6,2,5]=>0101010=>[2,2,2,2] [4,8,1,7,3,6,2,5]=>0101010=>[2,2,2,2] [5,8,1,7,3,6,2,4]=>0101010=>[2,2,2,2] [6,8,1,7,3,5,2,4]=>0101010=>[2,2,2,2] [7,8,2,6,3,5,1,4]=>0101010=>[2,2,2,2] [6,8,2,7,3,5,1,4]=>0101010=>[2,2,2,2] [5,8,2,7,3,6,1,4]=>0101010=>[2,2,2,2] [4,8,2,7,3,6,1,5]=>0101010=>[2,2,2,2] [2,7,3,8,4,6,1,5]=>0101010=>[2,2,2,2] [3,7,2,8,4,6,1,5]=>0101010=>[2,2,2,2] [3,7,1,8,4,6,2,5]=>0101010=>[2,2,2,2] [1,8,4,7,3,6,2,5]=>0101010=>[2,2,2,2] [2,8,4,7,3,6,1,5]=>0101010=>[2,2,2,2] [3,8,4,7,2,6,1,5]=>0101010=>[2,2,2,2] [4,8,5,7,2,6,1,3]=>0101010=>[2,2,2,2] [3,8,5,7,2,6,1,4]=>0101010=>[2,2,2,2] [2,8,5,7,3,6,1,4]=>0101010=>[2,2,2,2] [1,8,5,7,3,6,2,4]=>0101010=>[2,2,2,2] [1,8,6,7,3,5,2,4]=>0101010=>[2,2,2,2] [2,8,6,7,3,5,1,4]=>0101010=>[2,2,2,2] [3,8,6,7,2,5,1,4]=>0101010=>[2,2,2,2] [4,8,6,7,2,5,1,3]=>0101010=>[2,2,2,2] [5,8,6,7,2,4,1,3]=>0101010=>[2,2,2,2] [6,8,5,7,1,4,2,3]=>0101010=>[2,2,2,2] [5,8,6,7,1,4,2,3]=>0101010=>[2,2,2,2] [4,8,6,7,1,5,2,3]=>0101010=>[2,2,2,2] [3,8,6,7,1,5,2,4]=>0101010=>[2,2,2,2] [1,5,2,8,6,7,3,4]=>0101010=>[2,2,2,2] [2,5,1,8,6,7,3,4]=>0101010=>[2,2,2,2] [2,6,1,8,5,7,3,4]=>0101010=>[2,2,2,2] [1,6,2,8,5,7,3,4]=>0101010=>[2,2,2,2] [3,8,5,7,1,6,2,4]=>0101010=>[2,2,2,2] [6,8,4,7,1,5,2,3]=>0101010=>[2,2,2,2] [7,8,4,6,1,5,2,3]=>0101010=>[2,2,2,2] [7,8,3,6,1,5,2,4]=>0101010=>[2,2,2,2] [6,8,3,7,1,5,2,4]=>0101010=>[2,2,2,2] [4,8,3,7,1,6,2,5]=>0101010=>[2,2,2,2] [3,8,4,7,1,6,2,5]=>0101010=>[2,2,2,2] [1,6,2,8,4,7,3,5]=>0101010=>[2,2,2,2] [2,6,1,8,4,7,3,5]=>0101010=>[2,2,2,2] [3,7,2,6,1,8,4,5]=>0101010=>[2,2,2,2] [3,7,1,6,2,8,4,5]=>0101010=>[2,2,2,2] [4,8,1,6,2,7,3,5]=>0101010=>[2,2,2,2] [5,8,1,6,2,7,3,4]=>0101010=>[2,2,2,2] [7,8,1,5,2,6,3,4]=>0101010=>[2,2,2,2] [7,8,2,5,1,6,3,4]=>0101010=>[2,2,2,2] [6,8,2,5,1,7,3,4]=>0101010=>[2,2,2,2] [5,8,2,6,1,7,3,4]=>0101010=>[2,2,2,2] [4,8,2,6,1,7,3,5]=>0101010=>[2,2,2,2] [1,7,3,6,2,8,4,5]=>0101010=>[2,2,2,2] [2,7,3,6,1,8,4,5]=>0101010=>[2,2,2,2] [1,2,3,4,5,6,7,8,9]=>00000000=>[9] [1,2,3,4,5,6,8,9,7]=>00000001=>[8,1] [1,2,3,4,5,7,8,9,6]=>00000001=>[8,1] [1,2,3,4,6,7,8,9,5]=>00000001=>[8,1] [1,2,3,5,6,7,8,9,4]=>00000001=>[8,1] [1,2,4,5,6,7,8,9,3]=>00000001=>[8,1] [1,3,4,5,6,7,8,9,2]=>00000001=>[8,1] [1,2,3,4,5,6,7,8,9,10]=>000000000=>[10] [1,2,3,4,5,6,9,8,7]=>00000011=>[7,1,1] [1,2,3,4,5,6,7,9,10,8]=>000000001=>[9,1] [1,2,3,4,5,8,7,9,6]=>00000101=>[6,2,1] [1,2,3,4,5,6,8,9,10,7]=>000000001=>[9,1] [1,2,3,4,7,6,8,9,5]=>00001001=>[5,3,1] [1,2,3,4,5,7,8,9,10,6]=>000000001=>[9,1] [1,2,3,6,5,7,8,9,4]=>00010001=>[4,4,1] [1,2,3,4,6,7,8,9,10,5]=>000000001=>[9,1] [1,2,5,4,6,7,8,9,3]=>00100001=>[3,5,1] [1,2,3,5,6,7,8,9,10,4]=>000000001=>[9,1] [1,4,3,5,6,7,8,9,2]=>01000001=>[2,6,1] [1,2,4,5,6,7,8,9,10,3]=>000000001=>[9,1] [3,2,4,5,6,7,8,9,1]=>10000001=>[1,7,1] [1,3,4,5,6,7,8,9,10,2]=>000000001=>[9,1] [6,7,4,8,3,5,1,2]=>0101010=>[2,2,2,2] [6,7,4,5,2,8,1,3]=>0101010=>[2,2,2,2] [5,7,4,6,2,3,1,8]=>0101010=>[2,2,2,2] [5,7,4,6,3,8,1,2]=>0101010=>[2,2,2,2] [5,7,4,8,3,6,1,2]=>0101010=>[2,2,2,2] [6,8,4,5,3,7,1,2]=>0101010=>[2,2,2,2] [5,8,4,6,3,7,1,2]=>0101010=>[2,2,2,2] [5,6,4,8,3,7,1,2]=>0101010=>[2,2,2,2] [5,6,3,7,2,4,1,8]=>0101010=>[2,2,2,2] [5,6,3,7,2,8,1,4]=>0101010=>[2,2,2,2] [5,6,3,8,2,7,1,4]=>0101010=>[2,2,2,2] [5,6,4,8,2,7,1,3]=>0101010=>[2,2,2,2] [5,8,4,6,2,7,1,3]=>0101010=>[2,2,2,2] [6,8,4,5,2,7,1,3]=>0101010=>[2,2,2,2] [7,8,4,5,2,6,1,3]=>0101010=>[2,2,2,2] [6,8,4,5,2,3,1,7]=>0101010=>[2,2,2,2] [5,8,4,6,2,3,1,7]=>0101010=>[2,2,2,2] [5,6,4,8,2,3,1,7]=>0101010=>[2,2,2,2] [5,6,3,8,2,4,1,7]=>0101010=>[2,2,2,2] [5,6,3,4,2,8,1,7]=>0101010=>[2,2,2,2] [4,6,3,5,2,7,1,8]=>0101010=>[2,2,2,2] [4,6,3,5,2,8,1,7]=>0101010=>[2,2,2,2] [4,6,3,8,2,5,1,7]=>0101010=>[2,2,2,2] [4,8,3,6,2,5,1,7]=>0101010=>[2,2,2,2] [5,8,3,6,2,4,1,7]=>0101010=>[2,2,2,2] [6,8,3,5,2,4,1,7]=>0101010=>[2,2,2,2] [7,8,3,5,2,4,1,6]=>0101010=>[2,2,2,2] [7,8,3,5,2,6,1,4]=>0101010=>[2,2,2,2] [5,8,3,6,2,7,1,4]=>0101010=>[2,2,2,2] [4,8,3,6,2,7,1,5]=>0101010=>[2,2,2,2] [4,6,3,8,2,7,1,5]=>0101010=>[2,2,2,2] [4,6,3,7,2,8,1,5]=>0101010=>[2,2,2,2] [4,7,3,6,2,5,1,8]=>0101010=>[2,2,2,2] [4,7,3,6,2,8,1,5]=>0101010=>[2,2,2,2] [4,7,3,8,2,6,1,5]=>0101010=>[2,2,2,2] [5,7,4,8,2,6,1,3]=>0101010=>[2,2,2,2] [5,7,3,6,2,8,1,4]=>0101010=>[2,2,2,2] [5,7,3,6,2,4,1,8]=>0101010=>[2,2,2,2] [6,7,3,5,2,4,1,8]=>0101010=>[2,2,2,2] [6,7,3,5,2,8,1,4]=>0101010=>[2,2,2,2] [6,7,4,8,2,5,1,3]=>0101010=>[2,2,2,2] [6,7,5,8,2,4,1,3]=>0101010=>[2,2,2,2] [6,8,5,7,2,3,1,4]=>0101010=>[2,2,2,2] [6,7,4,8,2,3,1,5]=>0101010=>[2,2,2,2] [6,7,3,8,2,4,1,5]=>0101010=>[2,2,2,2] [6,7,3,4,2,8,1,5]=>0101010=>[2,2,2,2] [5,7,3,4,2,6,1,8]=>0101010=>[2,2,2,2] [5,7,3,4,2,8,1,6]=>0101010=>[2,2,2,2] [5,7,4,8,2,3,1,6]=>0101010=>[2,2,2,2] [5,8,4,7,2,3,1,6]=>0101010=>[2,2,2,2] [6,8,4,7,2,3,1,5]=>0101010=>[2,2,2,2] [7,8,4,6,2,3,1,5]=>0101010=>[2,2,2,2] [7,8,3,6,2,4,1,5]=>0101010=>[2,2,2,2] [6,8,3,7,2,4,1,5]=>0101010=>[2,2,2,2] [5,8,3,7,2,4,1,6]=>0101010=>[2,2,2,2] [4,8,3,7,2,5,1,6]=>0101010=>[2,2,2,2] [4,7,3,8,2,5,1,6]=>0101010=>[2,2,2,2] [4,7,3,5,2,8,1,6]=>0101010=>[2,2,2,2] [4,7,3,5,2,6,1,8]=>0101010=>[2,2,2,2] [4,5,3,7,2,6,1,8]=>0101010=>[2,2,2,2] [4,5,3,7,2,8,1,6]=>0101010=>[2,2,2,2] [4,5,3,8,2,7,1,6]=>0101010=>[2,2,2,2] [4,8,3,5,2,7,1,6]=>0101010=>[2,2,2,2] [5,8,3,4,2,7,1,6]=>0101010=>[2,2,2,2] [6,8,3,4,2,7,1,5]=>0101010=>[2,2,2,2] [7,8,3,4,2,6,1,5]=>0101010=>[2,2,2,2] [6,8,3,4,2,5,1,7]=>0101010=>[2,2,2,2] [5,8,3,4,2,6,1,7]=>0101010=>[2,2,2,2] [4,8,3,5,2,6,1,7]=>0101010=>[2,2,2,2] [4,5,3,8,2,6,1,7]=>0101010=>[2,2,2,2] [4,5,3,6,2,8,1,7]=>0101010=>[2,2,2,2] [4,7,5,2,1,8,3,6]=>0111010=>[2,1,1,2,2] [4,8,5,2,1,7,6,3]=>0111011=>[2,1,1,2,1,1] [4,6,5,2,1,3,8,7]=>0111001=>[2,1,1,3,1] [5,6,4,2,3,1,8,7]=>0110101=>[2,1,2,2,1] [6,4,5,3,1,2,8,7]=>1011001=>[1,2,1,3,1] [5,4,6,1,3,2,8,7]=>1010101=>[1,2,2,2,1] [4,6,8,1,7,3,2,5]=>0010110=>[3,2,1,2] [4,7,8,1,6,3,5,2]=>0010101=>[3,2,2,1] [7,4,8,1,6,5,3,2]=>1010111=>[1,2,2,1,1,1] [5,4,8,1,3,7,6,2]=>1010011=>[1,2,3,1,1] [8,4,5,3,1,7,6,2]=>1011011=>[1,2,1,2,1,1] [5,4,7,1,3,8,2,6]=>1010010=>[1,2,3,2] [6,4,8,1,7,5,2,3]=>1010110=>[1,2,2,1,2] [5,6,8,7,2,1,3,4]=>0011100=>[3,1,1,3] [8,5,7,6,4,2,1,3]=>1011110=>[1,2,1,1,1,2] [8,4,6,3,7,2,1,5]=>1010110=>[1,2,2,1,2] [6,3,2,8,7,4,1,5]=>1101110=>[1,1,2,1,1,2] [2,1,6,8,7,4,3,5]=>1001110=>[1,3,1,1,2] [2,1,7,8,6,4,5,3]=>1001101=>[1,3,1,2,1] [7,3,2,8,6,4,5,1]=>1101101=>[1,1,2,1,2,1] [7,6,8,5,2,4,3,1]=>1011011=>[1,2,1,2,1,1] [5,7,8,6,2,3,1,4]=>0011010=>[3,1,2,2] [5,8,7,6,3,2,1,4]=>0111110=>[2,1,1,1,1,2] [6,8,7,5,3,2,4,1]=>0111101=>[2,1,1,1,2,1] [5,8,4,2,3,7,6,1]=>0110011=>[2,1,3,1,1] [7,8,4,2,6,5,3,1]=>0110111=>[2,1,2,1,1,1] [4,8,7,2,6,3,5,1]=>0110101=>[2,1,2,2,1] [4,8,6,2,7,3,1,5]=>0110110=>[2,1,2,1,2] [3,6,1,8,7,4,2,5]=>0101110=>[2,2,1,1,2] [3,7,1,8,6,4,5,2]=>0101101=>[2,2,1,2,1] [3,8,1,6,7,5,2,4]=>0100110=>[2,3,1,2] [3,7,1,6,8,2,5,4]=>0100101=>[2,3,2,1] [4,7,6,2,8,1,3,5]=>0110100=>[2,1,2,3] [6,7,4,2,8,1,5,3]=>0110101=>[2,1,2,2,1] [6,8,4,2,7,5,1,3]=>0110110=>[2,1,2,1,2] [2,1,8,6,7,5,3,4]=>1010110=>[1,2,2,1,2] [8,3,2,6,7,5,1,4]=>1100110=>[1,1,3,1,2] [8,6,4,3,7,5,1,2]=>1110110=>[1,1,1,2,1,2] [5,8,6,7,3,1,2,4]=>0101100=>[2,2,1,3] [6,7,5,8,1,3,4,2]=>0101001=>[2,2,3,1] [7,6,5,8,1,4,3,2]=>1101011=>[1,1,2,2,1,1] [8,6,5,7,4,1,3,2]=>1101101=>[1,1,2,1,2,1] [7,6,4,3,8,1,5,2]=>1110101=>[1,1,1,2,2,1] [7,3,2,6,8,1,5,4]=>1100101=>[1,1,3,2,1] [2,1,7,6,8,3,5,4]=>1010101=>[1,2,2,2,1] [7,5,6,8,1,4,2,3]=>1001010=>[1,3,2,2] [6,5,7,8,1,2,4,3]=>1001001=>[1,3,3,1] [8,1,3,7,4,6,5,2]=>1001011=>[1,3,2,1,1] [5,2,8,7,4,6,1,3]=>1011010=>[1,2,1,2,2] [1,6,2,5,4,7,3,8]=>0101010=>[2,2,2,2] [6,2,7,5,4,8,3,1]=>1011011=>[1,2,1,2,1,1] [8,1,3,5,4,7,6,2]=>1001011=>[1,3,2,1,1] [6,1,5,4,3,8,7,2]=>1011011=>[1,2,1,2,1,1] [6,1,8,3,4,5,7,2]=>1010001=>[1,2,4,1] [7,1,5,3,4,8,6,2]=>1010011=>[1,2,3,1,1] [7,1,4,3,5,6,8,2]=>1010001=>[1,2,4,1] [8,1,3,4,5,6,7,2]=>1000001=>[1,6,1] [1,7,2,4,5,6,3,8]=>0100010=>[2,4,2] [6,3,2,7,5,1,8,4]=>1101101=>[1,1,2,1,2,1] [8,4,7,2,5,6,1,3]=>1010010=>[1,2,3,2] [6,5,8,2,4,7,3,1]=>1010011=>[1,2,3,1,1] [8,5,2,1,4,3,7,6]=>1110101=>[1,1,1,2,2,1] [6,5,2,8,4,1,3,7]=>1101100=>[1,1,2,1,3] [5,6,2,1,4,8,3,7]=>0110010=>[2,1,3,2] [3,6,1,8,5,2,4,7]=>0101100=>[2,2,1,3] [1,2,6,3,5,4,7,8]=>0010100=>[3,2,3] [3,4,1,2,8,6,5,7]=>0100110=>[2,3,1,2] [4,3,1,2,6,8,5,7]=>1100010=>[1,1,4,2] [5,8,1,6,3,2,4,7]=>0101100=>[2,2,1,3] [6,3,8,5,2,1,4,7]=>1011100=>[1,2,1,1,3] [8,3,1,5,2,4,7,6]=>1101001=>[1,1,2,3,1] [3,8,2,6,1,5,7,4]=>0101001=>[2,2,3,1] [3,8,6,7,2,1,5,4]=>0101101=>[2,2,1,2,1] [8,5,6,4,2,1,7,3]=>1011101=>[1,2,1,1,2,1] [7,2,5,8,3,1,6,4]=>1001101=>[1,3,1,2,1] [1,7,5,6,3,2,4,8]=>0101100=>[2,2,1,3] [6,1,2,3,8,5,7,4]=>1000101=>[1,4,2,1] [7,1,2,3,6,5,8,4]=>1000101=>[1,4,2,1] [7,2,1,3,8,6,4,5]=>1100110=>[1,1,3,1,2] [1,5,7,3,2,4,6,8]=>0011000=>[3,1,4] [5,2,7,3,1,8,4,6]=>1011010=>[1,2,1,2,2] [5,8,2,4,1,3,7,6]=>0101001=>[2,2,3,1] [8,7,2,6,3,4,1,5]=>1101010=>[1,1,2,2,2] [4,8,1,6,3,2,7,5]=>0101101=>[2,2,1,2,1] [3,1,8,6,4,2,7,5]=>1011101=>[1,2,1,1,2,1] [8,1,6,7,4,3,2,5]=>1001110=>[1,3,1,1,2] [3,5,8,7,2,4,1,6]=>0011010=>[3,1,2,2] [4,2,1,3,7,8,5,6]=>1100010=>[1,1,4,2] [2,4,1,3,8,7,5,6]=>0100110=>[2,3,1,2] [2,5,8,3,1,7,4,6]=>0011010=>[3,1,2,2] [8,6,1,3,7,2,4,5]=>1100100=>[1,1,3,3] [2,8,1,3,6,4,7,5]=>0100101=>[2,3,2,1] [6,8,2,3,4,1,5,7]=>0100100=>[2,3,3] [5,1,8,3,2,4,6,7]=>1011000=>[1,2,1,4] [9,8,7,6,5,4,3,2,1]=>11111111=>[1,1,1,1,1,1,1,1,1] [8,9,7,6,5,4,3,2,1]=>01111111=>[2,1,1,1,1,1,1,1] [8,7,9,6,5,4,3,2,1]=>10111111=>[1,2,1,1,1,1,1,1] [8,7,6,9,5,4,3,2,1]=>11011111=>[1,1,2,1,1,1,1,1] [8,7,6,5,9,4,3,2,1]=>11101111=>[1,1,1,2,1,1,1,1] [8,7,6,5,4,9,3,2,1]=>11110111=>[1,1,1,1,2,1,1,1] [8,7,6,5,4,3,9,2,1]=>11111011=>[1,1,1,1,1,2,1,1] [8,7,6,5,4,3,2,9,1]=>11111101=>[1,1,1,1,1,1,2,1] [8,7,6,5,4,3,2,1,9]=>11111110=>[1,1,1,1,1,1,1,2] [9,10,8,7,6,5,4,3,2,1]=>011111111=>[2,1,1,1,1,1,1,1,1] [7,8,9,6,5,4,3,2,1]=>00111111=>[3,1,1,1,1,1,1] [9,8,10,7,6,5,4,3,2,1]=>101111111=>[1,2,1,1,1,1,1,1,1] [8,6,7,9,5,4,3,2,1]=>10011111=>[1,3,1,1,1,1,1] [9,8,7,10,6,5,4,3,2,1]=>110111111=>[1,1,2,1,1,1,1,1,1] [8,7,5,6,9,4,3,2,1]=>11001111=>[1,1,3,1,1,1,1] [9,8,7,6,10,5,4,3,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [8,7,6,4,5,9,3,2,1]=>11100111=>[1,1,1,3,1,1,1] [9,8,7,6,5,10,4,3,2,1]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,7,6,5,3,4,9,2,1]=>11110011=>[1,1,1,1,3,1,1] [9,8,7,6,5,4,10,3,2,1]=>111110111=>[1,1,1,1,1,2,1,1,1] [8,7,6,5,4,2,3,9,1]=>11111001=>[1,1,1,1,1,3,1] [9,8,7,6,5,4,3,10,2,1]=>111111011=>[1,1,1,1,1,1,2,1,1] [8,7,6,5,4,3,1,2,9]=>11111100=>[1,1,1,1,1,1,3] [9,8,7,6,5,4,3,2,10,1]=>111111101=>[1,1,1,1,1,1,1,2,1] [9,8,7,6,5,4,3,2,1,10]=>111111110=>[1,1,1,1,1,1,1,1,2] [1,4,2,7,8,6,3,5]=>0100110=>[2,3,1,2] [1,6,2,4,8,5,3,7]=>0100110=>[2,3,1,2] [1,6,2,4,7,5,3,8]=>0100110=>[2,3,1,2] [1,7,3,8,5,2,4,6]=>0101100=>[2,2,1,3] [1,7,3,2,8,6,4,5]=>0110110=>[2,1,2,1,2] [4,2,5,7,8,6,1,3]=>1000110=>[1,4,1,2] [7,2,3,1,8,5,6,4]=>1010101=>[1,2,2,2,1] [8,2,5,1,7,3,4,6]=>1010100=>[1,2,2,3] [6,2,1,8,3,4,7,5]=>1101001=>[1,1,2,3,1] [6,2,8,3,5,1,7,4]=>1010101=>[1,2,2,2,1] [6,2,4,8,5,7,1,3]=>1001010=>[1,3,2,2] [1,3,6,4,8,5,7,2]=>0010101=>[3,2,2,1] [1,3,6,4,7,5,8,2]=>0010101=>[3,2,2,1] [6,2,4,7,5,8,1,3]=>1001010=>[1,3,2,2] [6,2,1,3,7,8,4,5]=>1100010=>[1,1,4,2] [7,8,2,1,4,3,5,6]=>0110100=>[2,1,2,3] [7,6,4,2,3,1,8,5]=>1110101=>[1,1,1,2,2,1] [5,7,2,3,1,6,8,4]=>0101001=>[2,2,3,1] [7,5,4,2,6,8,1,3]=>1110010=>[1,1,1,3,2] [1,7,5,3,4,6,8,2]=>0110001=>[2,1,4,1] [8,2,5,4,6,7,1,3]=>1010010=>[1,2,3,2] [5,2,6,3,1,8,7,4]=>1011011=>[1,2,1,2,1,1] [8,2,6,4,3,1,7,5]=>1011101=>[1,2,1,1,2,1] [8,2,7,4,1,3,5,6]=>1011000=>[1,2,1,4] [1,2,8,4,3,5,6,7]=>0011000=>[3,1,4] [1,7,4,2,3,5,6,8]=>0110000=>[2,1,5] [6,8,4,1,3,2,5,7]=>0110100=>[2,1,2,3] [1,8,7,4,3,2,5,6]=>0111100=>[2,1,1,1,3] [1,6,3,8,2,4,7,5]=>0101001=>[2,2,3,1] [5,3,8,1,2,7,4,6]=>1010010=>[1,2,3,2] [5,1,8,3,2,6,4,7]=>1011010=>[1,2,1,2,2] [5,7,3,1,2,6,4,8]=>0110010=>[2,1,3,2] [1,7,5,4,2,6,3,8]=>0111010=>[2,1,1,2,2] [1,5,8,2,4,6,3,7]=>0010010=>[3,3,2] [1,5,8,4,2,7,3,6]=>0011010=>[3,1,2,2] [1,4,6,2,8,3,7,5]=>0010101=>[3,2,2,1] [5,3,1,6,7,2,4,8]=>1100100=>[1,1,3,3] [5,3,6,1,2,8,4,7]=>1010010=>[1,2,3,2] [1,6,3,2,7,8,4,5]=>0110010=>[2,1,3,2] [1,7,4,5,3,8,6,2]=>0101011=>[2,2,2,1,1] [6,3,4,1,2,5,8,7]=>1010001=>[1,2,4,1] [6,3,1,4,2,7,5,8]=>1101010=>[1,1,2,2,2] [1,8,3,2,4,5,6,7]=>0110000=>[2,1,5] [8,6,3,2,4,1,7,5]=>1110101=>[1,1,1,2,2,1] [8,5,3,2,6,7,1,4]=>1110010=>[1,1,1,3,2] [4,5,2,6,8,1,7,3]=>0100101=>[2,3,2,1] [4,2,5,6,7,8,1,3]=>1000010=>[1,5,2] [5,2,3,6,7,1,8,4]=>1000101=>[1,4,2,1] [6,2,3,4,1,7,8,5]=>1001001=>[1,3,3,1] [7,2,3,1,4,5,8,6]=>1010001=>[1,2,4,1] [8,6,1,4,3,2,5,7]=>1101100=>[1,1,2,1,3] [8,3,1,6,5,2,4,7]=>1101100=>[1,1,2,1,3] [3,7,5,1,8,2,4,6]=>0110100=>[2,1,2,3] [4,1,5,2,8,7,3,6]=>1010110=>[1,2,2,1,2] [8,1,2,4,6,5,3,7]=>1000110=>[1,4,1,2] [8,1,2,5,4,6,3,7]=>1001010=>[1,3,2,2] [8,2,6,5,1,3,4,7]=>1011000=>[1,2,1,4] [8,3,1,6,2,5,4,7]=>1101010=>[1,1,2,2,2] [8,1,2,6,4,5,3,7]=>1001010=>[1,3,2,2] [8,1,2,5,6,4,3,7]=>1000110=>[1,4,1,2] [8,1,2,6,5,4,3,7]=>1001110=>[1,3,1,1,2] [1,7,5,4,2,8,3,6]=>0111010=>[2,1,1,2,2] [5,1,4,8,2,7,3,6]=>1001010=>[1,3,2,2] [1,4,6,8,2,7,3,5]=>0001010=>[4,2,2] [1,4,7,6,2,8,3,5]=>0011010=>[3,1,2,2] [5,1,4,7,2,8,3,6]=>1001010=>[1,3,2,2] [1,7,4,5,2,8,3,6]=>0101010=>[2,2,2,2] [3,7,5,1,2,8,4,6]=>0110010=>[2,1,3,2] [5,7,2,8,1,3,4,6]=>0101000=>[2,2,4] [5,2,8,7,1,3,4,6]=>1011000=>[1,2,1,4] [4,1,5,8,2,7,3,6]=>1001010=>[1,3,2,2] [1,4,6,2,8,7,3,5]=>0010110=>[3,2,1,2] [1,4,2,8,6,7,3,5]=>0101010=>[2,2,2,2] [3,1,2,6,4,8,7,5]=>1001011=>[1,3,2,1,1] [2,1,7,6,3,4,8,5]=>1011001=>[1,2,1,3,1] [3,1,2,7,4,6,8,5]=>1001001=>[1,3,3,1] [1,4,7,2,6,8,3,5]=>0010010=>[3,3,2] [1,2,3,6,8,5,7,4]=>0000101=>[5,2,1] [5,1,4,2,7,8,3,6]=>1010010=>[1,2,3,2] [1,4,2,7,6,8,3,5]=>0101010=>[2,2,2,2] [1,4,2,6,8,7,3,5]=>0100110=>[2,3,1,2] [3,1,2,8,4,6,7,5]=>1001001=>[1,3,3,1] [3,1,2,7,6,4,8,5]=>1001101=>[1,3,1,2,1] [5,3,7,1,8,2,4,6]=>1010100=>[1,2,2,3] [1,7,4,3,2,5,8,6]=>0111001=>[2,1,1,3,1] [4,8,7,2,1,3,5,6]=>0111000=>[2,1,1,4] [1,8,7,3,4,2,5,6]=>0110100=>[2,1,2,3] [3,1,7,8,2,6,4,5]=>1001010=>[1,3,2,2] [1,4,2,7,8,3,6,5]=>0100101=>[2,3,2,1] [5,2,8,1,3,4,7,6]=>1010001=>[1,2,4,1] [2,1,8,6,3,4,7,5]=>1011001=>[1,2,1,3,1] [1,4,2,6,8,3,7,5]=>0100101=>[2,3,2,1] [1,2,3,7,8,5,6,4]=>0000101=>[5,2,1] [1,2,3,7,5,8,6,4]=>0001011=>[4,2,1,1] [1,4,2,7,3,8,6,5]=>0101011=>[2,2,2,1,1] [3,1,7,2,8,6,4,5]=>1010110=>[1,2,2,1,2] [2,1,7,8,3,4,6,5]=>1001001=>[1,3,3,1] [1,2,3,8,7,5,6,4]=>0001101=>[4,1,2,1] [10,1,2,3,4,5,6,7,8,9]=>100000000=>[1,9] [10,1,2,3,4,5,6,9,7,8]=>100000010=>[1,7,2] [10,1,2,3,4,5,9,6,7,8]=>100000100=>[1,6,3] [9,1,2,3,4,10,5,6,7,8]=>100001000=>[1,5,4] [10,1,2,3,9,4,5,6,7,8]=>100010000=>[1,4,5] [10,1,2,9,3,4,5,6,7,8]=>100100000=>[1,3,6] [9,1,10,2,3,4,5,6,7,8]=>101000000=>[1,2,7] [10,9,1,2,3,4,5,6,7,8]=>110000000=>[1,1,8] [11,1,2,3,4,5,6,7,8,9,10]=>1000000000=>[1,10] [10,1,2,3,4,5,6,7,8,11,9]=>1000000001=>[1,9,1] [8,1,2,3,4,5,6,9,10,7]=>100000001=>[1,8,1] [11,1,2,3,4,5,6,7,10,8,9]=>1000000010=>[1,8,2] [7,1,2,3,4,5,10,9,6,8]=>100000110=>[1,6,1,2] [11,1,2,3,4,5,6,10,7,8,9]=>1000000100=>[1,7,3] [6,1,2,3,4,10,9,5,7,8]=>100001100=>[1,5,1,3] [5,1,2,3,9,10,4,6,7,8]=>100001000=>[1,5,4] [11,1,2,3,4,10,5,6,7,8,9]=>1000010000=>[1,5,5] [4,1,2,10,9,3,5,6,7,8]=>100110000=>[1,3,1,5] [11,1,2,3,10,4,5,6,7,8,9]=>1000100000=>[1,4,6] [3,1,10,9,2,4,5,6,7,8]=>101100000=>[1,2,1,6] [10,1,2,11,3,4,5,6,7,8,9]=>1001000000=>[1,3,7] [2,9,10,1,3,4,5,6,7,8]=>001000000=>[3,7] [11,1,10,2,3,4,5,6,7,8,9]=>1010000000=>[1,2,8] [11,10,1,2,3,4,5,6,7,8,9]=>1100000000=>[1,1,9] [4,7,8,5,6,2,1,3]=>0010110=>[3,2,1,2] [5,7,8,4,2,6,1,3]=>0011010=>[3,1,2,2] [6,7,8,4,2,5,1,3]=>0011010=>[3,1,2,2] [8,6,3,7,2,1,5,4]=>1101101=>[1,1,2,1,2,1] [7,6,3,8,2,1,5,4]=>1101101=>[1,1,2,1,2,1] [6,7,8,3,2,1,5,4]=>0011101=>[3,1,1,2,1] [5,7,8,3,2,1,6,4]=>0011101=>[3,1,1,2,1] [2,7,8,4,3,5,6,1]=>0011001=>[3,1,3,1] [3,7,8,4,2,5,1,6]=>0011010=>[3,1,2,2] [4,7,8,3,2,1,5,6]=>0011100=>[3,1,1,3] [5,7,8,3,2,1,4,6]=>0011100=>[3,1,1,3] [7,6,3,8,2,1,4,5]=>1101100=>[1,1,2,1,3] [8,6,3,7,2,1,4,5]=>1101100=>[1,1,2,1,3] [5,6,3,8,2,1,4,7]=>0101100=>[2,2,1,3] [3,6,4,8,2,5,1,7]=>0101010=>[2,2,2,2] [2,6,4,8,3,5,7,1]=>0101001=>[2,2,3,1] [2,6,4,7,3,5,8,1]=>0101001=>[2,2,3,1] [3,6,4,7,2,5,1,8]=>0101010=>[2,2,2,2] [4,6,3,7,2,1,5,8]=>0101100=>[2,2,1,3] [5,6,3,7,2,1,4,8]=>0101100=>[2,2,1,3] [8,4,3,2,1,6,5,7]=>1111010=>[1,1,1,1,2,2] [6,4,3,2,1,7,5,8]=>1111010=>[1,1,1,1,2,2] [4,5,3,2,7,1,6,8]=>0110100=>[2,1,2,3] [3,5,4,2,8,6,1,7]=>0110110=>[2,1,2,1,2] [6,4,3,2,1,8,5,7]=>1111010=>[1,1,1,1,2,2] [7,4,3,2,1,8,5,6]=>1111010=>[1,1,1,1,2,2] [8,4,3,2,1,7,5,6]=>1111010=>[1,1,1,1,2,2] [8,4,3,2,1,7,6,5]=>1111011=>[1,1,1,1,2,1,1] [7,4,3,2,1,8,6,5]=>1111011=>[1,1,1,1,2,1,1] [6,4,3,2,1,8,7,5]=>1111011=>[1,1,1,1,2,1,1] [5,6,3,8,2,1,7,4]=>0101101=>[2,2,1,2,1] [7,5,3,2,8,1,6,4]=>1110101=>[1,1,1,2,2,1] [8,5,4,2,7,6,1,3]=>1110110=>[1,1,1,2,1,2] [7,5,4,2,8,6,1,3]=>1110110=>[1,1,1,2,1,2] [6,5,4,2,8,7,1,3]=>1110110=>[1,1,1,2,1,2] [4,6,5,8,7,2,1,3]=>0101110=>[2,2,1,1,2] [2,6,5,7,8,3,4,1]=>0100101=>[2,3,2,1] [6,5,4,2,7,8,1,3]=>1110010=>[1,1,1,3,2] [8,5,4,2,6,7,1,3]=>1110010=>[1,1,1,3,2] [8,5,3,2,6,1,7,4]=>1110101=>[1,1,1,2,2,1] [7,5,3,2,6,1,8,4]=>1110101=>[1,1,1,2,2,1] [5,6,3,7,2,1,8,4]=>0101101=>[2,2,1,2,1] [4,6,3,7,2,1,8,5]=>0101101=>[2,2,1,2,1] [3,6,4,7,2,8,1,5]=>0101010=>[2,2,2,2] [2,6,4,7,3,8,5,1]=>0101011=>[2,2,2,1,1] [3,5,4,2,7,8,1,6]=>0110010=>[2,1,3,2] [4,5,3,2,7,1,8,6]=>0110101=>[2,1,2,2,1] [7,4,3,2,1,6,8,5]=>1111001=>[1,1,1,1,3,1] [8,4,3,2,1,6,7,5]=>1111001=>[1,1,1,1,3,1] [8,4,3,2,1,5,7,6]=>1111001=>[1,1,1,1,3,1] [7,4,3,2,1,5,8,6]=>1111001=>[1,1,1,1,3,1] [6,4,3,2,1,5,8,7]=>1111001=>[1,1,1,1,3,1] [3,5,4,2,6,8,1,7]=>0110010=>[2,1,3,2] [5,6,3,4,1,2,8,7]=>0101001=>[2,2,3,1] [8,5,3,7,2,6,4,1]=>1101011=>[1,1,2,2,1,1] [8,5,7,4,2,6,3,1]=>1011011=>[1,2,1,2,1,1] [7,5,8,4,2,6,1,3]=>1011010=>[1,2,1,2,2] [2,1,7,8,5,6,3,4]=>1001010=>[1,3,2,2] [6,8,3,7,5,1,4,2]=>0101101=>[2,2,1,2,1] [5,7,3,8,1,6,2,4]=>0101010=>[2,2,2,2] [3,2,6,4,8,5,1,7]=>1010110=>[1,2,2,1,2] [3,5,2,4,1,7,6,8]=>0101010=>[2,2,2,2] [4,2,5,8,3,1,6,7]=>1001100=>[1,3,1,3] [3,1,5,4,2,8,6,7]=>1011010=>[1,2,1,2,2] [4,1,5,8,3,2,6,7]=>1001100=>[1,3,1,3] [4,3,8,5,2,1,6,7]=>1011100=>[1,2,1,1,3] [4,7,3,5,2,1,6,8]=>0101100=>[2,2,1,3] [4,3,2,7,5,1,6,8]=>1101100=>[1,1,2,1,3] [4,3,6,2,5,1,7,8]=>1010100=>[1,2,2,3] [4,6,3,2,5,1,7,8]=>0110100=>[2,1,2,3] [4,5,1,7,3,2,6,8]=>0101100=>[2,2,1,3] [5,2,1,4,3,7,8,6]=>1101001=>[1,1,2,3,1] [4,3,1,5,7,2,6,8]=>1100100=>[1,1,3,3] [4,3,6,1,5,2,7,8]=>1010100=>[1,2,2,3] [4,6,3,1,5,2,7,8]=>0110100=>[2,1,2,3] [5,3,6,4,1,2,7,8]=>1011000=>[1,2,1,4] [4,3,6,1,7,2,5,8]=>1010100=>[1,2,2,3] [6,2,4,1,3,7,8,5]=>1010001=>[1,2,4,1] [3,6,4,1,2,7,5,8]=>0110010=>[2,1,3,2] [4,6,3,1,7,2,5,8]=>0110100=>[2,1,2,3] [5,6,2,7,1,3,4,8]=>0101000=>[2,2,4] [4,5,2,7,3,1,6,8]=>0101100=>[2,2,1,3] [4,6,2,1,7,3,5,8]=>0110100=>[2,1,2,3] [3,2,6,1,4,7,5,8]=>1010010=>[1,2,3,2] [3,5,2,7,4,6,1,8]=>0101010=>[2,2,2,2] [3,7,2,4,8,5,1,6]=>0100110=>[2,3,1,2] [7,3,1,4,6,8,2,5]=>1100010=>[1,1,4,2] [3,2,6,1,5,7,4,8]=>1010010=>[1,2,3,2] [6,3,2,1,5,7,4,8]=>1110010=>[1,1,1,3,2] [6,4,2,1,5,3,7,8]=>1110100=>[1,1,1,2,3] [4,2,6,1,5,3,7,8]=>1010100=>[1,2,2,3] [4,2,1,7,5,3,6,8]=>1101100=>[1,1,2,1,3] [7,4,1,5,6,2,3,8]=>1100100=>[1,1,3,3] [7,3,1,5,2,6,4,8]=>1101010=>[1,1,2,2,2] [6,3,5,1,2,7,4,8]=>1010010=>[1,2,3,2] [5,2,6,4,1,3,7,8]=>1011000=>[1,2,1,4] [3,6,5,1,2,7,4,8]=>0110010=>[2,1,3,2] [6,5,2,1,4,7,8,3]=>1110001=>[1,1,1,4,1] [6,5,3,1,4,7,2,8]=>1110010=>[1,1,1,3,2] [2,3,1,8,5,4,7,6]=>0101101=>[2,2,1,2,1] [2,4,1,5,8,3,7,6]=>0100101=>[2,3,2,1] [2,4,1,5,3,8,7,6]=>0101011=>[2,2,2,1,1] [3,4,5,1,2,8,7,6]=>0010011=>[3,3,1,1] [3,4,5,1,8,2,7,6]=>0010101=>[3,2,2,1] [1,8,4,5,3,2,7,6]=>0101101=>[2,2,1,2,1] [2,4,8,5,3,1,7,6]=>0011101=>[3,1,1,2,1] [3,4,5,8,2,1,7,6]=>0001101=>[4,1,2,1] [3,4,5,2,8,1,7,6]=>0010101=>[3,2,2,1] [3,4,6,2,1,7,8,5]=>0011001=>[3,1,3,1] [3,4,6,2,1,7,5,8]=>0011010=>[3,1,2,2] [3,5,6,2,7,1,4,8]=>0010100=>[3,2,3] [3,5,6,2,7,1,8,4]=>0010101=>[3,2,2,1] [3,5,6,2,7,8,1,4]=>0010010=>[3,3,2] [3,4,6,2,8,7,1,5]=>0010110=>[3,2,1,2] [3,4,6,8,2,7,1,5]=>0001010=>[4,2,2] [2,4,8,6,3,7,1,5]=>0011010=>[3,1,2,2] [1,8,4,6,3,7,2,5]=>0101010=>[2,2,2,2] [1,8,4,6,3,7,5,2]=>0101011=>[2,2,2,1,1] [3,4,6,8,2,7,5,1]=>0001011=>[4,2,1,1] [3,4,6,2,8,7,5,1]=>0010111=>[3,2,1,1,1] [3,5,6,2,7,8,4,1]=>0010011=>[3,3,1,1] [3,5,6,2,7,4,1,8]=>0010110=>[3,2,1,2] [4,5,6,7,2,8,3,1]=>0001011=>[4,2,1,1] [3,5,6,8,7,2,4,1]=>0001101=>[4,1,2,1] [2,5,8,6,7,3,4,1]=>0010101=>[3,2,2,1] [1,8,5,6,7,3,4,2]=>0100101=>[2,3,2,1] [1,8,5,6,7,3,2,4]=>0100110=>[2,3,1,2] [2,5,8,6,7,3,1,4]=>0010110=>[3,2,1,2] [3,5,6,8,7,2,1,4]=>0001110=>[4,1,1,2] [4,5,6,7,2,1,8,3]=>0001101=>[4,1,2,1] [3,4,6,1,8,7,2,5]=>0010110=>[3,2,1,2] [2,4,1,6,8,7,3,5]=>0100110=>[2,3,1,2] [2,3,1,8,6,7,4,5]=>0101010=>[2,2,2,2] [1,8,3,2,6,7,5,4]=>0110011=>[2,1,3,1,1] [2,5,1,6,7,8,4,3]=>0100011=>[2,4,1,1] [2,5,1,6,7,4,8,3]=>0100101=>[2,3,2,1] [2,5,1,6,7,4,3,8]=>0100110=>[2,3,1,2] [3,5,6,1,7,4,2,8]=>0010110=>[3,2,1,2] [3,5,6,1,7,4,8,2]=>0010101=>[3,2,2,1] [3,4,6,1,8,7,5,2]=>0010111=>[3,2,1,1,1] [3,4,6,8,1,7,5,2]=>0001011=>[4,2,1,1] [2,4,8,6,1,7,5,3]=>0011011=>[3,1,2,1,1] [1,8,4,6,2,7,5,3]=>0101011=>[2,2,2,1,1] [1,8,5,6,7,2,4,3]=>0100101=>[2,3,2,1] [2,5,8,6,7,1,4,3]=>0010101=>[3,2,2,1] [3,5,6,8,7,1,4,2]=>0001101=>[4,1,2,1] [4,5,6,7,8,1,3,2]=>0000101=>[5,2,1] [4,5,6,7,1,3,8,2]=>0001001=>[4,3,1] [4,5,6,7,1,3,2,8]=>0001010=>[4,2,2] [4,5,6,7,3,1,8,2]=>0001101=>[4,1,2,1] [3,5,6,8,7,4,1,2]=>0001110=>[4,1,1,2] [2,5,8,6,7,4,1,3]=>0010110=>[3,2,1,2] [1,8,5,6,7,4,2,3]=>0100110=>[2,3,1,2] [1,8,5,6,7,4,3,2]=>0100111=>[2,3,1,1,1] [2,5,8,6,7,4,3,1]=>0010111=>[3,2,1,1,1] [8,2,5,3,7,1,6,4]=>1010101=>[1,2,2,2,1] [8,2,4,3,7,1,6,5]=>1010101=>[1,2,2,2,1] [5,8,2,4,3,7,1,6]=>0101010=>[2,2,2,2] [4,2,5,6,1,8,3,7]=>1001010=>[1,3,2,2] [4,2,5,6,1,7,3,8]=>1001010=>[1,3,2,2] [6,1,5,7,3,2,4,8]=>1001100=>[1,3,1,3] [6,1,5,8,3,2,4,7]=>1001100=>[1,3,1,3] [3,8,2,4,7,1,5,6]=>0100100=>[2,3,3] [3,6,8,2,4,7,1,5]=>0010010=>[3,3,2] [4,3,5,6,7,1,8,2]=>1000101=>[1,4,2,1] [3,7,1,5,6,8,2,4]=>0100010=>[2,4,2] [3,7,1,5,8,2,4,6]=>0100100=>[2,3,3] [8,3,2,4,6,1,5,7]=>1100100=>[1,1,3,3] [7,3,2,4,6,1,5,8]=>1100100=>[1,1,3,3] [3,2,5,1,7,4,6,8]=>1010100=>[1,2,2,3] [3,2,5,1,8,4,6,7]=>1010100=>[1,2,2,3] [3,2,5,1,7,8,4,6]=>1010010=>[1,2,3,2] [7,8,3,2,4,6,1,5]=>0110010=>[2,1,3,2] [6,1,5,7,8,3,2,4]=>1000110=>[1,4,1,2] [4,2,5,6,1,7,8,3]=>1001001=>[1,3,3,1] [5,7,6,1,8,3,4,2]=>0110101=>[2,1,2,2,1] [5,8,6,1,7,3,4,2]=>0110101=>[2,1,2,2,1] [6,1,5,8,7,3,2,4]=>1001110=>[1,3,1,1,2] [8,7,3,2,4,6,1,5]=>1110010=>[1,1,1,3,2] [3,2,5,1,8,7,4,6]=>1010110=>[1,2,2,1,2] [3,2,5,1,6,4,7,8]=>1010100=>[1,2,2,3] [3,2,4,1,8,7,5,6]=>1010110=>[1,2,2,1,2] [3,2,5,1,6,8,7,4]=>1010011=>[1,2,3,1,1] [3,8,6,5,1,7,4,2]=>0111011=>[2,1,1,2,1,1] [3,7,6,5,1,8,4,2]=>0111011=>[2,1,1,2,1,1] [6,5,1,7,8,4,2,3]=>1100110=>[1,1,3,1,2] [3,2,5,1,6,7,8,4]=>1010001=>[1,2,4,1] [3,2,4,1,8,5,6,7]=>1010100=>[1,2,2,3] [3,2,4,1,7,5,6,8]=>1010100=>[1,2,2,3] [3,2,4,1,6,8,5,7]=>1010010=>[1,2,3,2] [3,2,4,1,8,5,7,6]=>1010101=>[1,2,2,2,1] [8,3,2,4,7,6,1,5]=>1100110=>[1,1,3,1,2] [3,2,5,1,8,4,7,6]=>1010101=>[1,2,2,2,1] [3,2,5,1,6,7,4,8]=>1010010=>[1,2,3,2] [6,5,1,7,4,2,3,8]=>1101100=>[1,1,2,1,3] [6,5,1,8,4,2,3,7]=>1101100=>[1,1,2,1,3] [8,4,2,3,7,5,1,6]=>1100110=>[1,1,3,1,2] [4,2,6,1,8,3,7,5]=>1010101=>[1,2,2,2,1] [5,2,6,1,8,3,7,4]=>1010101=>[1,2,2,2,1] [8,4,6,1,7,3,5,2]=>1010101=>[1,2,2,2,1] [5,2,6,1,8,4,7,3]=>1010101=>[1,2,2,2,1] [7,4,2,3,8,5,1,6]=>1100110=>[1,1,3,1,2] [8,5,1,6,4,2,3,7]=>1101100=>[1,1,2,1,3] [7,5,1,6,4,2,3,8]=>1101100=>[1,1,2,1,3] [3,2,5,1,7,6,4,8]=>1010110=>[1,2,2,1,2] [3,2,5,1,8,6,4,7]=>1010110=>[1,2,2,1,2] [7,3,2,4,8,6,1,5]=>1100110=>[1,1,3,1,2] [8,6,1,5,7,3,2,4]=>1100110=>[1,1,3,1,2] [4,2,6,1,8,5,7,3]=>1010101=>[1,2,2,2,1] [8,5,6,1,7,3,4,2]=>1010101=>[1,2,2,2,1] [3,6,8,5,1,7,4,2]=>0011011=>[3,1,2,1,1] [8,5,1,6,7,4,2,3]=>1100110=>[1,1,3,1,2] [3,2,5,1,8,6,7,4]=>1010101=>[1,2,2,2,1] [3,2,4,1,8,6,5,7]=>1010110=>[1,2,2,1,2] [3,2,4,1,5,8,6,7]=>1010010=>[1,2,3,2] [3,2,5,1,7,8,6,4]=>1010011=>[1,2,3,1,1] [7,8,5,1,6,4,2,3]=>0110110=>[2,1,2,1,2] [3,8,5,1,7,6,4,2]=>0110111=>[2,1,2,1,1,1] [3,7,5,1,8,6,4,2]=>0110111=>[2,1,2,1,1,1] [8,7,5,1,6,4,2,3]=>1110110=>[1,1,1,2,1,2] [3,2,5,1,8,7,6,4]=>1010111=>[1,2,2,1,1,1] [6,5,7,3,1,8,4,2]=>1011011=>[1,2,1,2,1,1] [4,6,3,7,1,8,5,2]=>0101011=>[2,2,2,1,1] [4,6,3,7,5,1,8,2]=>0101101=>[2,2,1,2,1] [4,2,6,1,7,5,3,8]=>1010110=>[1,2,2,1,2] [2,5,7,4,1,6,3,8]=>0011010=>[3,1,2,2] [2,5,7,4,1,6,8,3]=>0011001=>[3,1,3,1] [5,4,7,3,6,1,8,2]=>1010101=>[1,2,2,2,1] [5,4,7,8,3,1,6,2]=>1001101=>[1,3,1,2,1] [4,3,7,5,1,8,6,2]=>1011011=>[1,2,1,2,1,1] [6,4,3,8,5,1,7,2]=>1101101=>[1,1,2,1,2,1] [5,8,4,3,6,1,7,2]=>0110101=>[2,1,2,2,1] [5,4,8,3,6,1,7,2]=>1010101=>[1,2,2,2,1] [5,4,3,6,7,1,8,2]=>1100101=>[1,1,3,2,1] [2,5,4,6,1,7,3,8]=>0101010=>[2,2,2,2] [3,2,5,8,1,6,7,4]=>1001001=>[1,3,3,1] [2,5,4,6,8,1,7,3]=>0100101=>[2,3,2,1] [5,2,8,4,1,6,7,3]=>1011001=>[1,2,1,3,1] [4,6,2,1,8,5,7,3]=>0110101=>[2,1,2,2,1] [2,4,1,7,5,8,6,3]=>0101011=>[2,2,2,1,1] [2,4,1,7,5,3,8,6]=>0101101=>[2,2,1,2,1] [2,6,4,1,8,5,3,7]=>0110110=>[2,1,2,1,2] [5,4,8,2,1,6,3,7]=>1011010=>[1,2,1,2,2] [2,5,8,4,1,6,3,7]=>0011010=>[3,1,2,2] [3,2,5,6,1,8,4,7]=>1001010=>[1,3,2,2] [4,8,3,2,6,1,5,7]=>0110100=>[2,1,2,3] [3,5,2,8,1,6,4,7]=>0101010=>[2,2,2,2] [3,2,1,6,8,5,4,7]=>1100110=>[1,1,3,1,2] [3,2,7,1,5,4,8,6]=>1010101=>[1,2,2,2,1] [3,2,7,1,5,8,6,4]=>1010011=>[1,2,3,1,1] [3,8,2,5,1,6,7,4]=>0101001=>[2,2,3,1] [4,8,3,2,6,7,1,5]=>0110010=>[2,1,3,2] [4,3,8,2,6,7,1,5]=>1010010=>[1,2,3,2] [4,3,2,6,7,8,1,5]=>1100010=>[1,1,4,2] [4,3,2,6,7,1,5,8]=>1100100=>[1,1,3,3] [4,3,7,2,6,8,1,5]=>1010010=>[1,2,3,2] [4,3,7,8,2,6,1,5]=>1001010=>[1,3,2,2] [2,5,7,4,8,1,6,3]=>0010101=>[3,2,2,1] [3,2,5,7,8,1,6,4]=>1000101=>[1,4,2,1] [3,2,5,7,1,6,8,4]=>1001001=>[1,3,3,1] [3,2,5,7,1,6,4,8]=>1001010=>[1,3,2,2] [6,3,2,7,1,5,4,8]=>1101010=>[1,1,2,2,2] [6,3,2,7,1,5,8,4]=>1101001=>[1,1,2,3,1] [6,3,2,7,8,1,5,4]=>1100101=>[1,1,3,2,1] [4,2,6,1,7,8,5,3]=>1010011=>[1,2,3,1,1] [6,5,2,1,7,8,4,3]=>1110011=>[1,1,1,3,1,1] [2,1,7,5,3,8,6,4]=>1011011=>[1,2,1,2,1,1] [6,2,1,8,5,3,7,4]=>1101101=>[1,1,2,1,2,1] [6,3,2,7,1,4,8,5]=>1101001=>[1,1,2,3,1] [6,3,2,1,4,7,8,5]=>1110001=>[1,1,1,4,1] [6,3,2,1,4,7,5,8]=>1110010=>[1,1,1,3,2] [3,5,2,1,7,4,6,8]=>0110100=>[2,1,2,3] [3,5,2,1,7,8,4,6]=>0110010=>[2,1,3,2] [5,8,4,2,1,7,3,6]=>0111010=>[2,1,1,2,2] [4,6,2,1,8,3,7,5]=>0110101=>[2,1,2,2,1] [2,4,1,7,3,8,6,5]=>0101011=>[2,2,2,1,1] [3,2,7,1,4,8,6,5]=>1010011=>[1,2,3,1,1] [3,5,8,2,1,7,4,6]=>0011010=>[3,1,2,2] [4,8,3,7,2,1,5,6]=>0101100=>[2,2,1,3] [4,3,7,2,8,1,5,6]=>1010100=>[1,2,2,3] [4,3,7,2,1,5,6,8]=>1011000=>[1,2,1,4] [4,8,3,2,7,1,5,6]=>0110100=>[2,1,2,3] [3,5,2,8,1,7,4,6]=>0101010=>[2,2,2,2] [6,3,2,8,1,4,7,5]=>1101001=>[1,1,2,3,1] [3,2,1,4,7,5,8,6]=>1100101=>[1,1,3,2,1] [5,3,2,1,8,4,6,7]=>1110100=>[1,1,1,2,3] [4,8,3,2,1,5,6,7]=>0111000=>[2,1,1,4] [4,3,8,2,1,5,6,7]=>1011000=>[1,2,1,4] [1,9,8,7,6,5,4,3,2]=>01111111=>[2,1,1,1,1,1,1,1] [8,7,6,4,5,3,2,1,9]=>11101110=>[1,1,1,2,1,1,2] [1,9,8,7,5,6,4,3,2]=>01110111=>[2,1,1,2,1,1,1] [1,10,9,8,7,6,5,4,3,2]=>011111111=>[2,1,1,1,1,1,1,1,1] [10,9,8,7,6,5,4,3,2,1,11]=>1111111110=>[1,1,1,1,1,1,1,1,1,2] [9,8,7,5,6,4,3,2,1,10]=>111011110=>[1,1,1,2,1,1,1,2] [8,7,5,4,6,3,2,1,9]=>11101110=>[1,1,1,2,1,1,2] [8,7,4,6,5,3,2,1,9]=>11011110=>[1,1,2,1,1,1,2] [1,9,8,6,5,7,4,3,2]=>01110111=>[2,1,1,2,1,1,1] [1,9,8,5,7,6,4,3,2]=>01101111=>[2,1,2,1,1,1,1] [1,10,9,8,6,7,5,4,3,2]=>011101111=>[2,1,1,2,1,1,1,1] [1,11,10,9,8,7,6,5,4,3,2]=>0111111111=>[2,1,1,1,1,1,1,1,1,1] [6,2,3,1,5,4,8,7]=>1010101=>[1,2,2,2,1] [8,4,5,2,3,1,7,6]=>1010101=>[1,2,2,2,1] [8,6,7,2,5,3,4,1]=>1010101=>[1,2,2,2,1] [8,2,5,3,4,1,7,6]=>1010101=>[1,2,2,2,1] [6,2,5,3,4,1,8,7]=>1010101=>[1,2,2,2,1] [6,1,5,2,4,3,8,7]=>1010101=>[1,2,2,2,1] [6,4,5,1,3,2,8,7]=>1010101=>[1,2,2,2,1] [6,1,5,3,4,2,8,7]=>1010101=>[1,2,2,2,1] [6,3,5,1,4,2,8,7]=>1010101=>[1,2,2,2,1] [8,3,5,2,4,1,7,6]=>1010101=>[1,2,2,2,1] [8,3,7,5,6,2,4,1]=>1010101=>[1,2,2,2,1] [8,3,7,2,4,1,6,5]=>1010101=>[1,2,2,2,1] [8,3,5,1,4,2,7,6]=>1010101=>[1,2,2,2,1] [8,1,5,3,4,2,7,6]=>1010101=>[1,2,2,2,1] [8,4,5,1,3,2,7,6]=>1010101=>[1,2,2,2,1] [2,1,8,4,5,3,7,6]=>1010101=>[1,2,2,2,1] [8,6,7,4,5,1,3,2]=>1010101=>[1,2,2,2,1] [8,6,7,1,5,3,4,2]=>1010101=>[1,2,2,2,1] [8,6,7,3,5,1,4,2]=>1010101=>[1,2,2,2,1] [8,3,7,5,6,1,4,2]=>1010101=>[1,2,2,2,1] [8,5,7,3,6,1,4,2]=>1010101=>[1,2,2,2,1] [8,3,7,4,6,2,5,1]=>1010101=>[1,2,2,2,1] [8,3,7,4,6,1,5,2]=>1010101=>[1,2,2,2,1] [8,3,7,1,6,4,5,2]=>1010101=>[1,2,2,2,1] [8,1,7,3,6,4,5,2]=>1010101=>[1,2,2,2,1] [8,1,7,5,6,3,4,2]=>1010101=>[1,2,2,2,1] [8,4,7,5,6,1,3,2]=>1010101=>[1,2,2,2,1] [2,1,8,4,7,5,6,3]=>1010101=>[1,2,2,2,1] [8,1,7,3,4,2,6,5]=>1010101=>[1,2,2,2,1] [8,1,7,3,6,2,5,4]=>1010101=>[1,2,2,2,1] [8,3,7,1,6,2,5,4]=>1010101=>[1,2,2,2,1] [8,3,7,2,6,4,5,1]=>1010101=>[1,2,2,2,1] [8,2,7,3,6,4,5,1]=>1010101=>[1,2,2,2,1] [8,2,7,3,6,1,5,4]=>1010101=>[1,2,2,2,1] [8,2,7,1,6,3,5,4]=>1010101=>[1,2,2,2,1] [8,1,7,2,4,3,6,5]=>1010101=>[1,2,2,2,1] [8,1,3,2,7,4,6,5]=>1010101=>[1,2,2,2,1] [2,1,8,3,7,4,6,5]=>1010101=>[1,2,2,2,1] [8,1,5,2,4,3,7,6]=>1010101=>[1,2,2,2,1] [8,2,7,1,4,3,6,5]=>1010101=>[1,2,2,2,1] [8,2,7,3,4,1,6,5]=>1010101=>[1,2,2,2,1] [8,2,7,5,6,3,4,1]=>1010101=>[1,2,2,2,1] [8,4,7,5,6,2,3,1]=>1010101=>[1,2,2,2,1] [8,4,7,2,3,1,6,5]=>1010101=>[1,2,2,2,1] [8,2,3,1,7,4,6,5]=>1010101=>[1,2,2,2,1] [8,2,3,1,5,4,7,6]=>1010101=>[1,2,2,2,1] [4,2,3,1,8,5,7,6]=>1010101=>[1,2,2,2,1] [4,1,3,2,8,6,7,5]=>1010101=>[1,2,2,2,1] [8,6,7,2,3,1,5,4]=>1010101=>[1,2,2,2,1] [8,2,3,1,7,5,6,4]=>1010101=>[1,2,2,2,1] [8,5,7,2,6,3,4,1]=>1010101=>[1,2,2,2,1] [8,5,7,2,6,1,4,3]=>1010101=>[1,2,2,2,1] [8,2,7,5,6,1,4,3]=>1010101=>[1,2,2,2,1] [8,6,7,2,5,1,4,3]=>1010101=>[1,2,2,2,1] [8,6,7,1,5,2,4,3]=>1010101=>[1,2,2,2,1] [8,6,7,1,3,2,5,4]=>1010101=>[1,2,2,2,1] [2,1,8,6,7,3,5,4]=>1010101=>[1,2,2,2,1] [2,1,8,3,7,5,6,4]=>1010101=>[1,2,2,2,1] [8,1,3,2,7,5,6,4]=>1010101=>[1,2,2,2,1] [8,1,7,5,6,2,4,3]=>1010101=>[1,2,2,2,1] [8,1,7,2,6,4,5,3]=>1010101=>[1,2,2,2,1] [8,2,7,1,6,4,5,3]=>1010101=>[1,2,2,2,1] [8,2,7,4,6,1,5,3]=>1010101=>[1,2,2,2,1] [8,2,7,4,6,3,5,1]=>1010101=>[1,2,2,2,1] [8,4,7,2,6,3,5,1]=>1010101=>[1,2,2,2,1] [8,4,7,2,6,1,5,3]=>1010101=>[1,2,2,2,1] [8,4,7,1,6,2,5,3]=>1010101=>[1,2,2,2,1] [8,1,7,4,6,2,5,3]=>1010101=>[1,2,2,2,1] [8,5,7,1,6,2,4,3]=>1010101=>[1,2,2,2,1] [2,1,8,5,7,3,6,4]=>1010101=>[1,2,2,2,1] [8,5,7,4,6,1,3,2]=>1010101=>[1,2,2,2,1] [8,5,7,1,6,3,4,2]=>1010101=>[1,2,2,2,1] [8,1,7,4,6,3,5,2]=>1010101=>[1,2,2,2,1] [8,4,7,1,6,3,5,2]=>1010101=>[1,2,2,2,1] [8,4,7,3,6,1,5,2]=>1010101=>[1,2,2,2,1] [2,4,8,3,6,1,7,5]=>0010101=>[3,2,2,1] [6,5,8,1,3,2,7,4]=>1010101=>[1,2,2,2,1] [4,5,8,6,3,2,7,1]=>0011101=>[3,1,1,2,1] [6,5,8,7,3,1,2,4]=>1011100=>[1,2,1,1,3] [1,5,8,7,3,6,2,4]=>0011010=>[3,1,2,2] [1,7,2,8,4,6,5,3]=>0101011=>[2,2,2,1,1] [6,7,2,8,4,1,5,3]=>0101101=>[2,2,1,2,1] [3,6,2,8,4,5,7,1]=>0101001=>[2,2,3,1] [2,6,1,8,4,5,7,3]=>0101001=>[2,2,3,1] [2,8,4,6,1,5,7,3]=>0101001=>[2,2,3,1] [6,3,1,8,4,5,7,2]=>1101001=>[1,1,2,3,1] [3,1,6,8,4,5,7,2]=>1001001=>[1,3,3,1] [2,3,6,8,4,5,7,1]=>0001001=>[4,3,1] [6,3,7,8,4,1,5,2]=>1001101=>[1,3,1,2,1] [1,3,7,8,4,6,5,2]=>0001011=>[4,2,1,1] [1,5,7,8,2,4,6,3]=>0001001=>[4,3,1] [5,1,7,8,2,4,6,3]=>1001001=>[1,3,3,1] [3,6,7,8,4,2,5,1]=>0001101=>[4,1,2,1] [7,6,1,8,4,2,5,3]=>1101101=>[1,1,2,1,2,1] [5,6,8,7,3,2,1,4]=>0011110=>[3,1,1,1,2] [2,8,3,7,1,6,5,4]=>0101011=>[2,2,2,1,1] [5,2,8,7,3,6,1,4]=>1011010=>[1,2,1,2,2] [7,2,1,8,4,6,5,3]=>1101011=>[1,1,2,2,1,1] [3,2,7,8,4,6,5,1]=>1001011=>[1,3,2,1,1] [5,2,7,8,1,4,6,3]=>1001001=>[1,3,3,1] [1,2,7,8,5,4,6,3]=>0001101=>[4,1,2,1] [4,2,1,3,8,5,6,7]=>1100100=>[1,1,3,3] [7,2,5,8,3,4,6,1]=>1001001=>[1,3,3,1] [6,2,8,5,4,3,1,7]=>1011110=>[1,2,1,1,1,2] [2,8,3,5,4,1,6,7]=>0101100=>[2,2,1,3] [2,8,4,5,3,1,6,7]=>0101100=>[2,2,1,3] [6,4,8,5,2,3,1,7]=>1011010=>[1,2,1,2,2] [7,3,5,8,2,4,6,1]=>1001001=>[1,3,3,1] [4,3,1,2,8,5,6,7]=>1100100=>[1,1,3,3] [3,4,2,1,8,5,6,7]=>0110100=>[2,1,2,3] [2,7,6,8,4,3,5,1]=>0101101=>[2,2,1,2,1] [5,7,1,8,3,4,6,2]=>0101001=>[2,2,3,1] [3,7,5,8,1,4,6,2]=>0101001=>[2,2,3,1] [1,7,5,8,3,4,6,2]=>0101001=>[2,2,3,1] [1,6,8,5,4,3,2,7]=>0011110=>[3,1,1,1,2] [4,6,8,5,1,3,2,7]=>0011010=>[3,1,2,2] [5,6,8,1,4,3,2,7]=>0010110=>[3,2,1,2] [7,5,8,6,3,4,2,1]=>1011011=>[1,2,1,2,1,1] [2,4,8,3,6,5,1,7]=>0010110=>[3,2,1,2] [2,8,4,1,5,6,3,7]=>0110010=>[2,1,3,2] [4,1,8,3,5,6,2,7]=>1010010=>[1,2,3,2] [5,6,8,4,1,3,2,7]=>0011010=>[3,1,2,2] [4,6,8,1,5,3,2,7]=>0010110=>[3,2,1,2] [1,6,8,4,5,3,2,7]=>0010110=>[3,2,1,2] [1,7,3,8,5,4,6,2]=>0101101=>[2,2,1,2,1] [3,7,1,8,5,4,6,2]=>0101101=>[2,2,1,2,1] [2,7,3,8,4,6,5,1]=>0101011=>[2,2,2,1,1] [7,1,3,8,4,6,5,2]=>1001011=>[1,3,2,1,1] [5,7,8,4,3,6,1,2]=>0011010=>[3,1,2,2] [2,8,7,4,1,6,5,3]=>0111011=>[2,1,1,2,1,1] [2,8,5,4,3,1,6,7]=>0111100=>[2,1,1,1,3] [6,5,8,4,2,3,1,7]=>1011010=>[1,2,1,2,2] [4,1,3,2,8,5,6,7]=>1010100=>[1,2,2,3] [1,4,3,2,8,5,6,7]=>0110100=>[2,1,2,3] [7,3,2,8,5,4,6,1]=>1101101=>[1,1,2,1,2,1] [6,4,8,2,5,3,1,7]=>1010110=>[1,2,2,1,2] [2,8,4,3,5,1,6,7]=>0110100=>[2,1,2,3] [2,8,3,4,5,1,6,7]=>0100100=>[2,3,3] [6,2,8,4,5,3,1,7]=>1010110=>[1,2,2,1,2] [7,2,3,8,5,4,6,1]=>1001101=>[1,3,1,2,1] [4,2,3,1,8,5,6,7]=>1010100=>[1,2,2,3] [3,2,1,4,8,5,6,7]=>1100100=>[1,1,3,3] [5,1,3,2,4,8,6,7]=>1010010=>[1,2,3,2] [2,8,1,5,3,4,7,6]=>0101001=>[2,2,3,1] [1,2,8,4,5,3,7,6]=>0010101=>[3,2,2,1] [1,4,2,8,5,3,6,7]=>0101100=>[2,2,1,3] [1,8,4,2,5,3,6,7]=>0110100=>[2,1,2,3] [8,1,5,3,2,4,6,7]=>1011000=>[1,2,1,4] [3,8,1,5,2,4,6,7]=>0101000=>[2,2,4] [3,5,1,4,8,2,6,7]=>0100100=>[2,3,3] [1,5,2,8,4,3,6,7]=>0101100=>[2,2,1,3] [1,2,8,5,4,3,6,7]=>0011100=>[3,1,1,3] [1,2,5,4,3,8,6,7]=>0011010=>[3,1,2,2] [1,2,4,8,5,3,7,6]=>0001101=>[4,1,2,1] [1,2,7,4,8,5,3,6]=>0010110=>[3,2,1,2] [1,5,2,7,8,4,3,6]=>0100110=>[2,3,1,2] [5,1,2,7,4,8,3,6]=>1001010=>[1,3,2,2] [8,3,5,1,4,7,2,6]=>1010010=>[1,2,3,2] [2,8,1,5,4,7,3,6]=>0101010=>[2,2,2,2] [1,2,8,5,7,4,3,6]=>0010110=>[3,2,1,2] [1,2,4,8,7,5,3,6]=>0001110=>[4,1,1,2] [2,8,1,4,3,7,6,5]=>0101011=>[2,2,2,1,1] [6,1,2,8,7,4,3,5]=>1001110=>[1,3,1,1,2] [6,4,1,2,8,7,3,5]=>1100110=>[1,1,3,1,2] [3,6,4,8,1,7,2,5]=>0101010=>[2,2,2,2] [7,6,1,4,2,8,3,5]=>1101010=>[1,1,2,2,2] [7,1,6,2,8,4,3,5]=>1010110=>[1,2,2,1,2] [1,6,7,2,8,4,3,5]=>0010110=>[3,2,1,2] [6,7,1,4,2,8,3,5]=>0101010=>[2,2,2,2] [6,3,7,1,4,8,2,5]=>1010010=>[1,2,3,2] [3,7,8,1,5,2,4,6]=>0010100=>[3,2,3] [7,1,2,8,5,3,4,6]=>1001100=>[1,3,1,3] [1,7,2,8,4,5,3,6]=>0101010=>[2,2,2,2] [1,4,2,7,8,5,3,6]=>0100110=>[2,3,1,2] [6,1,2,8,4,3,7,5]=>1001101=>[1,3,1,2,1] [6,4,1,2,8,3,7,5]=>1100101=>[1,1,3,2,1] [7,6,1,3,2,4,8,5]=>1101001=>[1,1,2,3,1] [6,7,1,3,2,4,8,5]=>0101001=>[2,2,3,1] [1,2,7,3,5,8,4,6]=>0010010=>[3,3,2] [1,2,7,5,8,3,4,6]=>0010100=>[3,2,3] [5,8,1,3,7,2,4,6]=>0100100=>[2,3,3] [1,2,5,8,7,3,4,6]=>0001100=>[4,1,3] [1,2,5,8,3,7,4,6]=>0001010=>[4,2,2] [2,8,1,7,3,5,4,6]=>0101010=>[2,2,2,2] [8,6,1,3,2,4,7,5]=>1101001=>[1,1,2,3,1] [4,2,8,1,7,3,6,5]=>1010101=>[1,2,2,2,1] [2,8,1,7,4,3,6,5]=>0101101=>[2,2,1,2,1] [7,1,2,8,4,3,6,5]=>1001101=>[1,3,1,2,1] [1,2,8,4,7,5,3,6]=>0010110=>[3,2,1,2] [1,2,8,7,4,5,3,6]=>0011010=>[3,1,2,2] [2,8,1,7,5,3,4,6]=>0101100=>[2,2,1,3] [8,3,7,1,5,2,4,6]=>1010100=>[1,2,2,3] [3,8,6,1,4,7,2,5]=>0110010=>[2,1,3,2] [8,6,1,4,2,7,3,5]=>1101010=>[1,1,2,2,2] [8,1,6,2,7,4,3,5]=>1010110=>[1,2,2,1,2] [7,1,2,8,6,4,3,5]=>1001110=>[1,3,1,1,2] [7,4,1,2,8,6,3,5]=>1100110=>[1,1,3,1,2] [3,7,4,8,1,6,2,5]=>0101010=>[2,2,2,2] [3,4,8,7,1,6,2,5]=>0011010=>[3,1,2,2] [4,2,8,1,7,6,3,5]=>1010110=>[1,2,2,1,2] [2,8,1,7,6,4,3,5]=>0101110=>[2,2,1,1,2] [7,8,3,4,1,5,2,6]=>0101010=>[2,2,2,2] [7,8,3,4,1,6,2,5]=>0101010=>[2,2,2,2] [6,8,3,4,1,7,2,5]=>0101010=>[2,2,2,2] [6,7,3,4,1,8,2,5]=>0101010=>[2,2,2,2] [5,7,3,4,1,8,2,6]=>0101010=>[2,2,2,2] [5,8,3,4,1,7,2,6]=>0101010=>[2,2,2,2] [5,8,3,4,1,6,2,7]=>0101010=>[2,2,2,2] [6,8,3,4,1,5,2,7]=>0101010=>[2,2,2,2] [6,7,3,4,1,5,2,8]=>0101010=>[2,2,2,2] [5,7,3,4,1,6,2,8]=>0101010=>[2,2,2,2] [5,6,2,8,3,4,1,7]=>0101010=>[2,2,2,2] [5,6,2,7,3,4,1,8]=>0101010=>[2,2,2,2] [4,6,2,8,3,5,1,7]=>0101010=>[2,2,2,2] [4,7,3,5,1,6,2,8]=>0101010=>[2,2,2,2] [4,8,3,5,1,6,2,7]=>0101010=>[2,2,2,2] [4,8,3,5,1,7,2,6]=>0101010=>[2,2,2,2] [4,7,3,5,1,8,2,6]=>0101010=>[2,2,2,2] [5,6,2,3,1,7,4,8]=>0101010=>[2,2,2,2] [5,6,2,4,1,8,3,7]=>0101010=>[2,2,2,2] [5,6,2,4,1,7,3,8]=>0101010=>[2,2,2,2] [4,6,2,5,1,7,3,8]=>0101010=>[2,2,2,2] [4,6,2,5,1,8,3,7]=>0101010=>[2,2,2,2] [4,5,1,8,3,7,2,6]=>0101010=>[2,2,2,2] [4,5,1,7,3,8,2,6]=>0101010=>[2,2,2,2] [4,6,2,7,3,8,1,5]=>0101010=>[2,2,2,2] [5,6,2,7,3,8,1,4]=>0101010=>[2,2,2,2] [5,6,2,7,4,8,1,3]=>0101010=>[2,2,2,2] [5,6,3,8,4,7,1,2]=>0101010=>[2,2,2,2] [5,6,2,8,4,7,1,3]=>0101010=>[2,2,2,2] [5,6,2,8,3,7,1,4]=>0101010=>[2,2,2,2] [4,6,2,8,3,7,1,5]=>0101010=>[2,2,2,2] [4,5,1,7,3,6,2,8]=>0101010=>[2,2,2,2] [4,5,1,8,3,6,2,7]=>0101010=>[2,2,2,2] [9,2,1,3,4,5,6,7,8]=>11000000=>[1,1,7] [10,2,1,3,4,5,6,7,8,9]=>110000000=>[1,1,8] [9,2,3,1,4,5,6,7,8]=>10100000=>[1,2,6] [4,2,3,5,6,7,8,9,1]=>10000001=>[1,7,1] [3,4,2,5,6,7,8,9,1]=>01000001=>[2,6,1] [3,2,4,5,6,7,8,9,10,1]=>100000001=>[1,8,1] [2,3,4,5,6,7,8,9,10,11,1]=>0000000001=>[10,1] [6,5,3,2,1,4,8,7]=>1111001=>[1,1,1,1,3,1] [4,6,3,5,2,1,8,7]=>0101101=>[2,2,1,2,1] [8,7,3,5,2,4,1,6]=>1101010=>[1,1,2,2,2] [6,8,2,4,5,7,3,1]=>0100011=>[2,4,1,1] [8,7,2,4,5,3,1,6]=>1100110=>[1,1,3,1,2] [3,6,1,4,5,2,8,7]=>0100101=>[2,3,2,1] [8,3,7,4,5,2,1,6]=>1010110=>[1,2,2,1,2] [6,3,8,4,5,7,2,1]=>1010011=>[1,2,3,1,1] [5,8,7,4,3,6,2,1]=>0111011=>[2,1,1,2,1,1] [2,8,7,4,3,6,1,5]=>0111010=>[2,1,1,2,2] [8,1,7,4,3,6,2,5]=>1011010=>[1,2,1,2,2] [8,7,3,5,1,4,2,6]=>1101010=>[1,1,2,2,2] [2,1,6,8,5,7,4,3]=>1001011=>[1,3,2,1,1] [6,8,3,5,1,7,4,2]=>0101011=>[2,2,2,1,1] [5,1,8,4,7,6,3,2]=>1010111=>[1,2,2,1,1,1] [2,5,8,4,7,6,3,1]=>0010111=>[3,2,1,1,1] [4,3,8,1,5,6,7,2]=>1010001=>[1,2,4,1] [4,8,1,3,5,6,7,2]=>0100001=>[2,5,1] [5,8,7,4,1,6,3,2]=>0111011=>[2,1,1,2,1,1] [5,8,3,6,1,4,7,2]=>0101001=>[2,2,3,1] [4,8,3,6,1,2,7,5]=>0101001=>[2,2,3,1] [3,8,7,4,1,6,2,5]=>0111010=>[2,1,1,2,2] [3,8,1,2,5,6,7,4]=>0100001=>[2,5,1] [8,7,1,4,2,6,3,5]=>1101010=>[1,1,2,2,2] [8,6,3,1,2,4,7,5]=>1110001=>[1,1,1,4,1] [8,1,7,4,5,2,3,6]=>1010100=>[1,2,2,3] [2,8,7,4,5,1,3,6]=>0110100=>[2,1,2,3] [8,7,2,4,1,6,3,5]=>1101010=>[1,1,2,2,2] [5,8,3,6,2,4,7,1]=>0101001=>[2,2,3,1] [8,6,3,2,1,4,7,5]=>1111001=>[1,1,1,1,3,1] [8,7,3,5,2,1,4,6]=>1101100=>[1,1,2,1,3] [5,8,3,6,2,1,7,4]=>0101101=>[2,2,1,2,1] [5,8,7,4,2,6,1,3]=>0111010=>[2,1,1,2,2] [2,6,8,4,5,7,1,3]=>0010010=>[3,3,2] [6,1,8,4,5,7,2,3]=>1010010=>[1,2,3,2] [6,8,3,5,1,7,2,4]=>0101010=>[2,2,2,2] [2,1,5,8,3,6,7,4]=>1001001=>[1,3,3,1] [5,8,3,6,1,2,7,4]=>0101001=>[2,2,3,1] [4,1,8,2,5,6,7,3]=>1010001=>[1,2,4,1] [2,4,8,1,5,6,7,3]=>0010001=>[3,4,1] [4,8,2,1,5,6,7,3]=>0110001=>[2,1,4,1] [3,4,8,2,5,6,7,1]=>0010001=>[3,4,1] [5,8,1,4,7,6,2,3]=>0100110=>[2,3,1,2] [5,8,3,1,6,2,7,4]=>0110101=>[2,1,2,2,1] [4,5,3,8,6,1,7,2]=>0101101=>[2,2,1,2,1] [3,4,1,8,5,6,7,2]=>0101001=>[2,2,3,1] [2,4,6,8,10,1,3,5,7,9]=>000010000=>[5,5] [2,4,6,9,10,1,3,5,7,8]=>000010000=>[5,5] [2,4,7,8,10,1,3,5,6,9]=>000010000=>[5,5] [2,4,7,9,10,1,3,5,6,8]=>000010000=>[5,5] [2,4,8,9,10,1,3,5,6,7]=>000010000=>[5,5] [2,5,6,8,10,1,3,4,7,9]=>000010000=>[5,5] [2,5,6,9,10,1,3,4,7,8]=>000010000=>[5,5] [2,5,7,8,10,1,3,4,6,9]=>000010000=>[5,5] [2,5,7,9,10,1,3,4,6,8]=>000010000=>[5,5] [2,5,8,9,10,1,3,4,6,7]=>000010000=>[5,5] [2,6,7,8,10,1,3,4,5,9]=>000010000=>[5,5] [2,6,7,9,10,1,3,4,5,8]=>000010000=>[5,5] [2,6,8,9,10,1,3,4,5,7]=>000010000=>[5,5] [2,7,8,9,10,1,3,4,5,6]=>000010000=>[5,5] [3,4,6,8,10,1,2,5,7,9]=>000010000=>[5,5] [3,4,6,9,10,1,2,5,7,8]=>000010000=>[5,5] [3,4,7,8,10,1,2,5,6,9]=>000010000=>[5,5] [3,4,7,9,10,1,2,5,6,8]=>000010000=>[5,5] [3,4,8,9,10,1,2,5,6,7]=>000010000=>[5,5] [3,5,6,8,10,1,2,4,7,9]=>000010000=>[5,5] [3,5,6,9,10,1,2,4,7,8]=>000010000=>[5,5] [3,5,7,8,10,1,2,4,6,9]=>000010000=>[5,5] [3,5,7,9,10,1,2,4,6,8]=>000010000=>[5,5] [3,5,8,9,10,1,2,4,6,7]=>000010000=>[5,5] [3,6,7,8,10,1,2,4,5,9]=>000010000=>[5,5] [3,6,7,9,10,1,2,4,5,8]=>000010000=>[5,5] [3,6,8,9,10,1,2,4,5,7]=>000010000=>[5,5] [3,7,8,9,10,1,2,4,5,6]=>000010000=>[5,5] [4,5,6,8,10,1,2,3,7,9]=>000010000=>[5,5] [4,5,6,9,10,1,2,3,7,8]=>000010000=>[5,5] [4,5,7,8,10,1,2,3,6,9]=>000010000=>[5,5] [4,5,7,9,10,1,2,3,6,8]=>000010000=>[5,5] [4,5,8,9,10,1,2,3,6,7]=>000010000=>[5,5] [4,6,7,8,10,1,2,3,5,9]=>000010000=>[5,5] [4,6,7,9,10,1,2,3,5,8]=>000010000=>[5,5] [4,6,8,9,10,1,2,3,5,7]=>000010000=>[5,5] [4,7,8,9,10,1,2,3,5,6]=>000010000=>[5,5] [5,6,7,8,10,1,2,3,4,9]=>000010000=>[5,5] [5,6,7,9,10,1,2,3,4,8]=>000010000=>[5,5] [5,6,8,9,10,1,2,3,4,7]=>000010000=>[5,5] [5,7,8,9,10,1,2,3,4,6]=>000010000=>[5,5] [2,4,6,8,10,12,1,3,5,7,9,11]=>00000100000=>[6,6] [2,4,6,8,11,12,1,3,5,7,9,10]=>00000100000=>[6,6] [2,4,6,9,10,12,1,3,5,7,8,11]=>00000100000=>[6,6] [2,4,6,9,11,12,1,3,5,7,8,10]=>00000100000=>[6,6] [2,4,6,10,11,12,1,3,5,7,8,9]=>00000100000=>[6,6] [2,4,7,8,10,12,1,3,5,6,9,11]=>00000100000=>[6,6] [2,4,7,8,11,12,1,3,5,6,9,10]=>00000100000=>[6,6] [2,4,7,9,10,12,1,3,5,6,8,11]=>00000100000=>[6,6] [2,4,7,9,11,12,1,3,5,6,8,10]=>00000100000=>[6,6] [2,4,7,10,11,12,1,3,5,6,8,9]=>00000100000=>[6,6] [2,4,8,9,10,12,1,3,5,6,7,11]=>00000100000=>[6,6] [2,4,8,9,11,12,1,3,5,6,7,10]=>00000100000=>[6,6] [2,4,8,10,11,12,1,3,5,6,7,9]=>00000100000=>[6,6] [2,4,9,10,11,12,1,3,5,6,7,8]=>00000100000=>[6,6] [2,5,6,8,10,12,1,3,4,7,9,11]=>00000100000=>[6,6] [2,5,6,8,11,12,1,3,4,7,9,10]=>00000100000=>[6,6] [2,5,6,9,10,12,1,3,4,7,8,11]=>00000100000=>[6,6] [2,5,6,9,11,12,1,3,4,7,8,10]=>00000100000=>[6,6] [2,5,6,10,11,12,1,3,4,7,8,9]=>00000100000=>[6,6] [2,5,7,8,10,12,1,3,4,6,9,11]=>00000100000=>[6,6] [2,5,7,8,11,12,1,3,4,6,9,10]=>00000100000=>[6,6] [2,5,7,9,10,12,1,3,4,6,8,11]=>00000100000=>[6,6] [2,5,7,9,11,12,1,3,4,6,8,10]=>00000100000=>[6,6] [2,5,7,10,11,12,1,3,4,6,8,9]=>00000100000=>[6,6] [2,5,8,9,10,12,1,3,4,6,7,11]=>00000100000=>[6,6] [2,5,8,9,11,12,1,3,4,6,7,10]=>00000100000=>[6,6] [2,5,8,10,11,12,1,3,4,6,7,9]=>00000100000=>[6,6] [2,5,9,10,11,12,1,3,4,6,7,8]=>00000100000=>[6,6] [2,6,7,8,10,12,1,3,4,5,9,11]=>00000100000=>[6,6] [2,6,7,8,11,12,1,3,4,5,9,10]=>00000100000=>[6,6] [2,6,7,9,10,12,1,3,4,5,8,11]=>00000100000=>[6,6] [2,6,7,9,11,12,1,3,4,5,8,10]=>00000100000=>[6,6] [2,6,7,10,11,12,1,3,4,5,8,9]=>00000100000=>[6,6] [2,6,8,9,10,12,1,3,4,5,7,11]=>00000100000=>[6,6] [2,6,8,9,11,12,1,3,4,5,7,10]=>00000100000=>[6,6] [2,6,8,10,11,12,1,3,4,5,7,9]=>00000100000=>[6,6] [2,6,9,10,11,12,1,3,4,5,7,8]=>00000100000=>[6,6] [2,7,8,9,10,12,1,3,4,5,6,11]=>00000100000=>[6,6] [2,7,8,9,11,12,1,3,4,5,6,10]=>00000100000=>[6,6] [2,7,8,10,11,12,1,3,4,5,6,9]=>00000100000=>[6,6] [2,7,9,10,11,12,1,3,4,5,6,8]=>00000100000=>[6,6] [2,8,9,10,11,12,1,3,4,5,6,7]=>00000100000=>[6,6] [3,4,6,8,10,12,1,2,5,7,9,11]=>00000100000=>[6,6] [3,4,6,8,11,12,1,2,5,7,9,10]=>00000100000=>[6,6] [3,4,6,9,10,12,1,2,5,7,8,11]=>00000100000=>[6,6] [3,4,6,9,11,12,1,2,5,7,8,10]=>00000100000=>[6,6] [3,4,6,10,11,12,1,2,5,7,8,9]=>00000100000=>[6,6] [3,4,7,8,10,12,1,2,5,6,9,11]=>00000100000=>[6,6] [3,4,7,8,11,12,1,2,5,6,9,10]=>00000100000=>[6,6] [3,4,7,9,10,12,1,2,5,6,8,11]=>00000100000=>[6,6] [3,4,7,9,11,12,1,2,5,6,8,10]=>00000100000=>[6,6] [3,4,7,10,11,12,1,2,5,6,8,9]=>00000100000=>[6,6] [3,4,8,9,10,12,1,2,5,6,7,11]=>00000100000=>[6,6] [3,4,8,9,11,12,1,2,5,6,7,10]=>00000100000=>[6,6] [3,4,8,10,11,12,1,2,5,6,7,9]=>00000100000=>[6,6] [3,4,9,10,11,12,1,2,5,6,7,8]=>00000100000=>[6,6] [3,5,6,8,10,12,1,2,4,7,9,11]=>00000100000=>[6,6] [3,5,6,8,11,12,1,2,4,7,9,10]=>00000100000=>[6,6] [3,5,6,9,10,12,1,2,4,7,8,11]=>00000100000=>[6,6] [3,5,6,9,11,12,1,2,4,7,8,10]=>00000100000=>[6,6] [3,5,6,10,11,12,1,2,4,7,8,9]=>00000100000=>[6,6] [3,5,7,8,10,12,1,2,4,6,9,11]=>00000100000=>[6,6] [3,5,7,8,11,12,1,2,4,6,9,10]=>00000100000=>[6,6] [3,5,7,9,10,12,1,2,4,6,8,11]=>00000100000=>[6,6] [3,5,7,9,11,12,1,2,4,6,8,10]=>00000100000=>[6,6] [3,5,7,10,11,12,1,2,4,6,8,9]=>00000100000=>[6,6] [3,5,8,9,10,12,1,2,4,6,7,11]=>00000100000=>[6,6] [3,5,8,9,11,12,1,2,4,6,7,10]=>00000100000=>[6,6] [3,5,8,10,11,12,1,2,4,6,7,9]=>00000100000=>[6,6] [3,5,9,10,11,12,1,2,4,6,7,8]=>00000100000=>[6,6] [3,6,7,8,10,12,1,2,4,5,9,11]=>00000100000=>[6,6] [3,6,7,8,11,12,1,2,4,5,9,10]=>00000100000=>[6,6] [3,6,7,9,10,12,1,2,4,5,8,11]=>00000100000=>[6,6] [3,6,7,9,11,12,1,2,4,5,8,10]=>00000100000=>[6,6] [3,6,7,10,11,12,1,2,4,5,8,9]=>00000100000=>[6,6] [3,6,8,9,10,12,1,2,4,5,7,11]=>00000100000=>[6,6] [3,6,8,9,11,12,1,2,4,5,7,10]=>00000100000=>[6,6] [3,6,8,10,11,12,1,2,4,5,7,9]=>00000100000=>[6,6] [3,6,9,10,11,12,1,2,4,5,7,8]=>00000100000=>[6,6] [3,7,8,9,10,12,1,2,4,5,6,11]=>00000100000=>[6,6] [3,7,8,9,11,12,1,2,4,5,6,10]=>00000100000=>[6,6] [3,7,8,10,11,12,1,2,4,5,6,9]=>00000100000=>[6,6] [3,7,9,10,11,12,1,2,4,5,6,8]=>00000100000=>[6,6] [3,8,9,10,11,12,1,2,4,5,6,7]=>00000100000=>[6,6] [4,5,6,8,10,12,1,2,3,7,9,11]=>00000100000=>[6,6] [4,5,6,8,11,12,1,2,3,7,9,10]=>00000100000=>[6,6] [4,5,6,9,10,12,1,2,3,7,8,11]=>00000100000=>[6,6] [4,5,6,9,11,12,1,2,3,7,8,10]=>00000100000=>[6,6] [4,5,6,10,11,12,1,2,3,7,8,9]=>00000100000=>[6,6] [4,5,7,8,10,12,1,2,3,6,9,11]=>00000100000=>[6,6] [4,5,7,8,11,12,1,2,3,6,9,10]=>00000100000=>[6,6] [4,5,7,9,10,12,1,2,3,6,8,11]=>00000100000=>[6,6] [4,5,7,9,11,12,1,2,3,6,8,10]=>00000100000=>[6,6] [4,5,7,10,11,12,1,2,3,6,8,9]=>00000100000=>[6,6] [4,5,8,9,10,12,1,2,3,6,7,11]=>00000100000=>[6,6] [4,5,8,9,11,12,1,2,3,6,7,10]=>00000100000=>[6,6] [4,5,8,10,11,12,1,2,3,6,7,9]=>00000100000=>[6,6] [4,5,9,10,11,12,1,2,3,6,7,8]=>00000100000=>[6,6] [4,6,7,8,10,12,1,2,3,5,9,11]=>00000100000=>[6,6] [4,6,7,8,11,12,1,2,3,5,9,10]=>00000100000=>[6,6] [4,6,7,9,10,12,1,2,3,5,8,11]=>00000100000=>[6,6] [4,6,7,9,11,12,1,2,3,5,8,10]=>00000100000=>[6,6] [4,6,7,10,11,12,1,2,3,5,8,9]=>00000100000=>[6,6] [4,6,8,9,10,12,1,2,3,5,7,11]=>00000100000=>[6,6] [4,6,8,9,11,12,1,2,3,5,7,10]=>00000100000=>[6,6] [4,6,8,10,11,12,1,2,3,5,7,9]=>00000100000=>[6,6] [4,6,9,10,11,12,1,2,3,5,7,8]=>00000100000=>[6,6] [4,7,8,9,10,12,1,2,3,5,6,11]=>00000100000=>[6,6] [4,7,8,9,11,12,1,2,3,5,6,10]=>00000100000=>[6,6] [4,7,8,10,11,12,1,2,3,5,6,9]=>00000100000=>[6,6] [4,7,9,10,11,12,1,2,3,5,6,8]=>00000100000=>[6,6] [4,8,9,10,11,12,1,2,3,5,6,7]=>00000100000=>[6,6] [5,6,7,8,10,12,1,2,3,4,9,11]=>00000100000=>[6,6] [5,6,7,8,11,12,1,2,3,4,9,10]=>00000100000=>[6,6] [5,6,7,9,10,12,1,2,3,4,8,11]=>00000100000=>[6,6] [5,6,7,9,11,12,1,2,3,4,8,10]=>00000100000=>[6,6] [5,6,7,10,11,12,1,2,3,4,8,9]=>00000100000=>[6,6] [5,6,8,9,10,12,1,2,3,4,7,11]=>00000100000=>[6,6] [5,6,8,9,11,12,1,2,3,4,7,10]=>00000100000=>[6,6] [5,6,8,10,11,12,1,2,3,4,7,9]=>00000100000=>[6,6] [5,6,9,10,11,12,1,2,3,4,7,8]=>00000100000=>[6,6] [5,7,8,9,10,12,1,2,3,4,6,11]=>00000100000=>[6,6] [5,7,8,9,11,12,1,2,3,4,6,10]=>00000100000=>[6,6] [5,7,8,10,11,12,1,2,3,4,6,9]=>00000100000=>[6,6] [5,7,9,10,11,12,1,2,3,4,6,8]=>00000100000=>[6,6] [5,8,9,10,11,12,1,2,3,4,6,7]=>00000100000=>[6,6] [6,7,8,9,10,12,1,2,3,4,5,11]=>00000100000=>[6,6] [6,7,8,9,11,12,1,2,3,4,5,10]=>00000100000=>[6,6] [6,7,8,10,11,12,1,2,3,4,5,9]=>00000100000=>[6,6] [6,7,9,10,11,12,1,2,3,4,5,8]=>00000100000=>[6,6] [6,8,9,10,11,12,1,2,3,4,5,7]=>00000100000=>[6,6] [7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000=>[6,6] [4,5,7,6,2,3,8,1]=>0011001=>[3,1,3,1] [3,5,7,2,6,4,8,1]=>0010101=>[3,2,2,1] [2,5,7,3,6,4,8,1]=>0010101=>[3,2,2,1] [1,5,7,3,6,8,4,2]=>0010011=>[3,3,1,1] [8,4,3,7,6,1,5,2]=>1101101=>[1,1,2,1,2,1] [6,7,2,3,5,4,8,1]=>0100101=>[2,3,2,1] [5,2,7,3,6,4,8,1]=>1010101=>[1,2,2,2,1] [8,3,4,7,6,1,5,2]=>1001101=>[1,3,1,2,1] [8,2,4,7,1,6,5,3]=>1001011=>[1,3,2,1,1] [3,1,4,7,6,8,5,2]=>1001011=>[1,3,2,1,1] [4,1,3,7,6,8,5,2]=>1001011=>[1,3,2,1,1] [5,1,7,3,6,8,4,2]=>1010011=>[1,2,3,1,1] [6,7,1,3,5,8,4,2]=>0100011=>[2,4,1,1] [5,8,7,3,6,1,4,2]=>0110101=>[2,1,2,2,1] [4,8,3,7,6,1,5,2]=>0101101=>[2,2,1,2,1] [3,8,4,7,6,1,5,2]=>0101101=>[2,2,1,2,1] [2,8,4,7,1,6,5,3]=>0101011=>[2,2,2,1,1] [8,1,4,7,2,6,5,3]=>1001011=>[1,3,2,1,1] [8,1,3,2,7,6,5,4]=>1010111=>[1,2,2,1,1,1] [2,8,3,1,7,6,5,4]=>0110111=>[2,1,2,1,1,1] [3,8,2,1,7,6,5,4]=>0110111=>[2,1,2,1,1,1] [6,7,1,2,8,5,4,3]=>0100111=>[2,3,1,1,1] [8,2,3,1,7,6,5,4]=>1010111=>[1,2,2,1,1,1] [8,3,2,1,7,6,5,4]=>1110111=>[1,1,1,2,1,1,1] [3,4,1,7,6,8,5,2]=>0101011=>[2,2,2,1,1] [1,4,2,7,8,6,5,3]=>0100111=>[2,3,1,1,1] [8,4,2,7,1,6,5,3]=>1101011=>[1,1,2,2,1,1] [8,5,7,2,1,6,4,3]=>1011011=>[1,2,1,2,1,1] [1,5,7,2,8,6,4,3]=>0010111=>[3,2,1,1,1] [2,5,7,1,8,6,4,3]=>0010111=>[3,2,1,1,1] [3,5,7,1,6,8,4,2]=>0010011=>[3,3,1,1] [6,7,4,5,8,1,3,2]=>0100101=>[2,3,2,1] [5,4,7,6,8,1,3,2]=>1010101=>[1,2,2,2,1] [2,5,7,8,1,6,4,3]=>0001011=>[4,2,1,1] [1,5,7,8,2,6,4,3]=>0001011=>[4,2,1,1] [8,5,7,1,2,6,4,3]=>1010011=>[1,2,3,1,1] [8,4,1,7,2,6,5,3]=>1101011=>[1,1,2,2,1,1] [1,4,8,7,2,6,5,3]=>0011011=>[3,1,2,1,1] [3,4,8,7,6,1,5,2]=>0011101=>[3,1,1,2,1] [4,3,8,7,6,1,5,2]=>1011101=>[1,2,1,1,2,1] [5,3,7,8,6,1,4,2]=>1001101=>[1,3,1,2,1] [6,7,2,8,1,5,4,3]=>0101011=>[2,2,2,1,1] [5,2,7,8,1,6,4,3]=>1001011=>[1,3,2,1,1] [4,2,8,7,1,6,5,3]=>1011011=>[1,2,1,2,1,1] [3,2,8,1,7,6,5,4]=>1010111=>[1,2,2,1,1,1] [1,3,8,2,7,6,5,4]=>0010111=>[3,2,1,1,1] [8,3,1,2,7,6,5,4]=>1100111=>[1,1,3,1,1,1] [8,2,1,3,7,6,5,4]=>1100111=>[1,1,3,1,1,1] [1,2,8,3,7,6,5,4]=>0010111=>[3,2,1,1,1] [2,1,8,3,7,6,5,4]=>1010111=>[1,2,2,1,1,1] [4,1,8,7,2,6,5,3]=>1011011=>[1,2,1,2,1,1] [5,1,7,8,2,6,4,3]=>1001011=>[1,3,2,1,1] [6,7,1,8,2,5,4,3]=>0101011=>[2,2,2,1,1] [5,8,7,1,2,6,4,3]=>0110011=>[2,1,3,1,1] [4,8,1,7,2,6,5,3]=>0101011=>[2,2,2,1,1] [3,8,1,2,7,6,5,4]=>0100111=>[2,3,1,1,1] [2,8,1,3,7,6,5,4]=>0100111=>[2,3,1,1,1] [1,8,2,3,7,6,5,4]=>0100111=>[2,3,1,1,1] [8,1,2,3,7,6,5,4]=>1000111=>[1,4,1,1,1] [3,1,4,5,6,7,8,9,10,2]=>100000001=>[1,8,1] [2,3,4,5,6,7,8,9,11,1,10]=>0000000010=>[9,2] [10,3,4,5,6,7,8,1,2,9]=>100000100=>[1,6,3] [10,1,4,5,6,7,8,9,2,3]=>100000010=>[1,7,2] [3,1,4,5,6,7,8,9,10,11,2]=>1000000001=>[1,9,1] [2,3,4,5,6,7,8,9,10,12,1,11]=>00000000010=>[10,2] [11,3,4,5,6,7,8,9,1,2,10]=>1000000100=>[1,7,3] [2,10,4,5,6,7,8,1,3,9]=>010000100=>[2,5,3] [8,3,4,5,6,7,1,10,2,9]=>100001010=>[1,5,2,2] [3,1,10,5,6,7,8,9,2,4]=>101000010=>[1,2,5,2] [9,1,4,5,6,7,8,2,10,3]=>100000101=>[1,6,2,1] [11,1,4,5,6,7,8,9,10,2,3]=>1000000010=>[1,8,2] [3,1,4,5,6,7,8,9,10,11,12,2]=>10000000001=>[1,10,1] [6,7,1,8,4,5,2,3]=>0101010=>[2,2,2,2] [3,7,1,5,8,2,6,4]=>0100101=>[2,3,2,1] [2,7,1,5,8,3,6,4]=>0100101=>[2,3,2,1] [2,6,5,1,8,3,7,4]=>0110101=>[2,1,2,2,1] [3,6,5,1,8,2,7,4]=>0110101=>[2,1,2,2,1] [4,6,5,1,8,7,2,3]=>0110110=>[2,1,2,1,2] [5,6,4,1,8,7,2,3]=>0110110=>[2,1,2,1,2] [8,1,4,5,7,6,2,3]=>1000110=>[1,4,1,2] [6,4,5,1,8,7,2,3]=>1010110=>[1,2,2,1,2] [5,4,6,1,8,7,2,3]=>1010110=>[1,2,2,1,2] [4,5,6,1,8,7,2,3]=>0010110=>[3,2,1,2] [3,5,6,1,8,2,7,4]=>0010101=>[3,2,2,1] [2,5,6,1,8,3,7,4]=>0010101=>[3,2,2,1] [2,4,6,1,3,8,7,5]=>0010011=>[3,3,1,1] [3,4,6,1,2,8,7,5]=>0010011=>[3,3,1,1] [4,3,6,1,2,8,7,5]=>1010011=>[1,2,3,1,1] [5,3,6,1,8,2,7,4]=>1010101=>[1,2,2,2,1] [7,3,1,5,8,2,6,4]=>1100101=>[1,1,3,2,1] [8,1,3,5,7,2,6,4]=>1000101=>[1,4,2,1] [8,1,2,5,7,3,6,4]=>1000101=>[1,4,2,1] [7,2,1,5,8,3,6,4]=>1100101=>[1,1,3,2,1] [6,2,5,1,8,3,7,4]=>1010101=>[1,2,2,2,1] [4,2,6,1,3,8,7,5]=>1010011=>[1,2,3,1,1] [2,3,6,1,4,8,7,5]=>0010011=>[3,3,1,1] [4,2,5,3,1,8,7,6]=>1011011=>[1,2,1,2,1,1] [6,2,4,1,3,8,7,5]=>1010011=>[1,2,3,1,1] [7,2,1,4,3,8,6,5]=>1101011=>[1,1,2,2,1,1] [8,1,2,4,3,7,6,5]=>1001011=>[1,3,2,1,1] [8,1,3,4,2,7,6,5]=>1001011=>[1,3,2,1,1] [7,3,1,4,2,8,6,5]=>1101011=>[1,1,2,2,1,1] [6,3,4,1,2,8,7,5]=>1010011=>[1,2,3,1,1] [4,6,3,1,2,8,7,5]=>0110011=>[2,1,3,1,1] [3,6,4,1,2,8,7,5]=>0110011=>[2,1,3,1,1] [2,6,4,1,3,8,7,5]=>0110011=>[2,1,3,1,1] [2,7,1,4,3,8,6,5]=>0101011=>[2,2,2,1,1] [3,7,1,4,2,8,6,5]=>0101011=>[2,2,2,1,1] [4,7,1,3,2,8,6,5]=>0101011=>[2,2,2,1,1] [8,1,6,7,2,3,5,4]=>1001001=>[1,3,3,1] [4,7,1,2,3,8,6,5]=>0100011=>[2,4,1,1] [3,7,1,2,4,8,6,5]=>0100011=>[2,4,1,1] [2,7,1,3,4,8,6,5]=>0100011=>[2,4,1,1] [2,6,3,1,4,8,7,5]=>0110011=>[2,1,3,1,1] [3,6,2,1,4,8,7,5]=>0110011=>[2,1,3,1,1] [5,6,2,1,8,3,7,4]=>0110101=>[2,1,2,2,1] [6,5,2,1,8,3,7,4]=>1110101=>[1,1,1,2,2,1] [8,1,5,2,7,3,6,4]=>1010101=>[1,2,2,2,1] [8,1,4,2,3,7,6,5]=>1010011=>[1,2,3,1,1] [7,4,1,2,3,8,6,5]=>1100011=>[1,1,4,1,1] [6,4,2,1,3,8,7,5]=>1110011=>[1,1,1,3,1,1] [5,4,2,3,1,8,7,6]=>1101011=>[1,1,2,2,1,1] [3,5,2,4,1,8,7,6]=>0101011=>[2,2,2,1,1] [6,3,2,1,4,8,7,5]=>1110011=>[1,1,1,3,1,1] [7,3,1,2,4,8,6,5]=>1100011=>[1,1,4,1,1] [8,1,3,2,4,7,6,5]=>1010011=>[1,2,3,1,1] [8,1,2,3,4,7,6,5]=>1000011=>[1,5,1,1] [7,2,1,3,4,8,6,5]=>1100011=>[1,1,4,1,1] [6,2,3,1,4,8,7,5]=>1010011=>[1,2,3,1,1] [2,4,3,6,1,5,8,7]=>0101001=>[2,2,3,1] [2,4,3,6,5,8,1,7]=>0101010=>[2,2,2,2] [2,4,6,3,5,8,7,1]=>0010011=>[3,3,1,1] [2,4,6,3,5,8,1,7]=>0010010=>[3,3,2] [2,4,6,3,5,1,8,7]=>0010101=>[3,2,2,1] [2,4,6,3,1,5,8,7]=>0011001=>[3,1,3,1] [2,4,1,6,5,3,8,7]=>0101101=>[2,2,1,2,1] [2,4,6,1,5,3,8,7]=>0010101=>[3,2,2,1] [4,2,6,5,3,1,8,7]=>1011101=>[1,2,1,1,2,1] [4,2,6,5,1,3,8,7]=>1011001=>[1,2,1,3,1] [4,2,6,5,1,8,7,3]=>1011011=>[1,2,1,2,1,1] [4,2,6,5,8,1,7,3]=>1010101=>[1,2,2,2,1] [4,2,6,5,8,1,3,7]=>1010100=>[1,2,2,3] [4,2,6,5,8,3,1,7]=>1010110=>[1,2,2,1,2] [2,4,6,1,5,8,3,7]=>0010010=>[3,3,2] [2,4,1,6,5,8,3,7]=>0101010=>[2,2,2,2] [2,1,4,6,5,8,3,7]=>1001010=>[1,3,2,2] [2,4,1,6,5,8,7,3]=>0101011=>[2,2,2,1,1] [2,4,6,1,5,8,7,3]=>0010011=>[3,3,1,1] [4,2,6,5,3,8,7,1]=>1011011=>[1,2,1,2,1,1] [4,2,6,5,8,3,7,1]=>1010101=>[1,2,2,2,1] [2,6,4,3,8,7,1,5]=>0110110=>[2,1,2,1,2] [2,6,4,3,8,7,5,1]=>0110111=>[2,1,2,1,1,1] [4,2,6,8,5,3,7,1]=>1001101=>[1,3,1,2,1] [2,4,6,8,1,5,7,3]=>0001001=>[4,3,1] [2,4,6,1,8,5,7,3]=>0010101=>[3,2,2,1] [2,4,1,6,8,5,7,3]=>0100101=>[2,3,2,1] [2,1,4,6,8,5,7,3]=>1000101=>[1,4,2,1] [2,1,4,6,8,5,3,7]=>1000110=>[1,4,1,2] [2,4,1,6,8,5,3,7]=>0100110=>[2,3,1,2] [2,4,6,1,8,5,3,7]=>0010110=>[3,2,1,2] [2,4,6,8,1,5,3,7]=>0001010=>[4,2,2] [4,2,6,8,5,3,1,7]=>1001110=>[1,3,1,1,2] [4,2,6,8,5,1,3,7]=>1001100=>[1,3,1,3] [4,2,6,8,5,1,7,3]=>1001101=>[1,3,1,2,1] [2,4,6,8,3,5,7,1]=>0001001=>[4,3,1] [2,4,6,8,3,5,1,7]=>0001010=>[4,2,2] [2,4,6,8,3,1,5,7]=>0001100=>[4,1,3] [2,4,6,3,1,8,5,7]=>0011010=>[3,1,2,2] [2,4,6,3,8,1,5,7]=>0010100=>[3,2,3] [2,4,6,3,8,5,1,7]=>0010110=>[3,2,1,2] [2,4,6,3,8,5,7,1]=>0010101=>[3,2,2,1] [2,4,3,6,8,5,7,1]=>0100101=>[2,3,2,1] [2,4,3,6,8,5,1,7]=>0100110=>[2,3,1,2] [2,4,3,6,8,1,5,7]=>0100100=>[2,3,3] [2,4,3,6,1,8,5,7]=>0101010=>[2,2,2,2] [2,4,3,1,6,8,5,7]=>0110010=>[2,1,3,2] [2,4,1,3,6,8,7,5]=>0100011=>[2,4,1,1] [2,4,3,6,1,8,7,5]=>0101011=>[2,2,2,1,1] [2,4,3,6,8,1,7,5]=>0100101=>[2,3,2,1] [4,6,5,2,8,7,3,1]=>0110111=>[2,1,2,1,1,1] [4,6,5,2,8,7,1,3]=>0110110=>[2,1,2,1,2] [4,6,2,5,8,7,1,3]=>0100110=>[2,3,1,2] [4,6,2,5,8,7,3,1]=>0100111=>[2,3,1,1,1] [2,4,6,3,8,1,7,5]=>0010101=>[3,2,2,1] [2,4,6,3,1,8,7,5]=>0011011=>[3,1,2,1,1] [2,4,1,6,3,8,7,5]=>0101011=>[2,2,2,1,1] [2,1,4,6,3,8,7,5]=>1001011=>[1,3,2,1,1] [2,1,4,6,8,3,7,5]=>1000101=>[1,4,2,1] [2,4,1,6,8,3,7,5]=>0100101=>[2,3,2,1] [2,4,6,1,8,3,7,5]=>0010101=>[3,2,2,1] [2,4,6,8,1,3,7,5]=>0001001=>[4,3,1] [2,4,6,8,3,1,7,5]=>0001101=>[4,1,2,1] [4,6,2,8,5,7,3,1]=>0101011=>[2,2,2,1,1] [4,6,2,8,5,7,1,3]=>0101010=>[2,2,2,2] [6,2,4,8,7,1,3,5]=>1001100=>[1,3,1,3] [6,4,2,8,7,5,3,1]=>1101111=>[1,1,2,1,1,1,1] [2,6,4,8,1,7,5,3]=>0101011=>[2,2,2,1,1] [2,6,4,1,8,7,5,3]=>0110111=>[2,1,2,1,1,1] [2,6,1,4,8,7,5,3]=>0100111=>[2,3,1,1,1] [2,1,6,4,8,7,5,3]=>1010111=>[1,2,2,1,1,1] [2,1,6,4,8,7,3,5]=>1010110=>[1,2,2,1,2] [2,6,1,4,8,7,3,5]=>0100110=>[2,3,1,2] [2,6,4,1,8,7,3,5]=>0110110=>[2,1,2,1,2] [2,6,4,8,1,7,3,5]=>0101010=>[2,2,2,2] [6,4,2,8,7,5,1,3]=>1101110=>[1,1,2,1,1,2] [6,2,4,8,7,3,5,1]=>1001101=>[1,3,1,2,1] [6,2,4,8,7,3,1,5]=>1001110=>[1,3,1,1,2] [1,6,4,7,3,8,2,5]=>0101010=>[2,2,2,2] [1,3,7,4,5,8,2,6]=>0010010=>[3,3,2] [5,2,4,7,3,6,8,1]=>1001001=>[1,3,3,1] [1,7,6,3,4,8,2,5]=>0110010=>[2,1,3,2] [8,1,6,3,7,2,4,5]=>1010100=>[1,2,2,3] [7,1,6,3,8,2,4,5]=>1010100=>[1,2,2,3] [1,2,7,4,8,3,5,6]=>0010100=>[3,2,3] [6,1,7,3,4,8,2,5]=>1010010=>[1,2,3,2] [2,1,7,4,5,8,3,6]=>1010010=>[1,2,3,2] [5,1,4,7,3,8,2,6]=>1001010=>[1,3,2,2] [4,3,1,7,5,8,2,6]=>1101010=>[1,1,2,2,2] [2,8,6,3,7,1,4,5]=>0110100=>[2,1,2,3] [6,8,1,3,7,2,4,5]=>0100100=>[2,3,3] [5,8,2,1,7,3,4,6]=>0110100=>[2,1,2,3] [5,7,2,1,8,3,4,6]=>0110100=>[2,1,2,3] [6,7,1,3,8,2,4,5]=>0100100=>[2,3,3] [5,1,2,4,8,3,6,7]=>1000100=>[1,4,3] [4,3,6,1,5,8,2,7]=>1010010=>[1,2,3,2] [2,6,1,4,5,8,3,7]=>0100010=>[2,4,2] [6,5,1,3,4,8,2,7]=>1100010=>[1,1,4,2] [1,6,2,4,8,3,5,7]=>0100100=>[2,3,3] [8,5,1,3,7,2,4,6]=>1100100=>[1,1,3,3] [1,5,3,2,8,4,6,7]=>0110100=>[2,1,2,3] [6,4,2,1,5,8,3,7]=>1110010=>[1,1,1,3,2] [2,5,3,4,1,8,6,7]=>0101010=>[2,2,2,2] [4,3,5,2,1,8,6,7]=>1011010=>[1,2,1,2,2] [2,6,4,8,7,1,3,5]=>0101100=>[2,2,1,3] [1,6,4,8,7,2,3,5]=>0101100=>[2,2,1,3] [2,7,8,3,6,1,4,5]=>0010100=>[3,2,3] [4,3,2,8,7,1,5,6]=>1101100=>[1,1,2,1,3] [5,2,4,8,7,1,3,6]=>1001100=>[1,3,1,3] [6,2,8,3,7,1,4,5]=>1010100=>[1,2,2,3] [5,1,4,8,7,2,3,6]=>1001100=>[1,3,1,3] [4,8,2,5,1,3,7,6]=>0101001=>[2,2,3,1] [4,7,2,5,1,3,8,6]=>0101001=>[2,2,3,1] [3,7,2,1,5,4,8,6]=>0110101=>[2,1,2,2,1] [3,8,2,1,5,4,7,6]=>0110101=>[2,1,2,2,1] [8,3,2,1,5,4,6,7]=>1110100=>[1,1,1,2,3] [8,3,2,1,6,4,5,7]=>1110100=>[1,1,1,2,3] [8,4,2,5,1,6,3,7]=>1101010=>[1,1,2,2,2] [8,3,2,1,5,6,4,7]=>1110010=>[1,1,1,3,2] [8,3,2,1,4,6,5,7]=>1110010=>[1,1,1,3,2] [3,8,2,1,4,5,7,6]=>0110001=>[2,1,4,1] [3,7,2,1,4,5,8,6]=>0110001=>[2,1,4,1] [3,2,7,1,4,6,8,5]=>1010001=>[1,2,4,1] [3,2,8,1,4,6,7,5]=>1010001=>[1,2,4,1] [3,2,8,1,4,7,6,5]=>1010011=>[1,2,3,1,1] [3,8,2,1,4,7,5,6]=>0110010=>[2,1,3,2] [3,8,2,1,5,7,4,6]=>0110010=>[2,1,3,2] [4,8,2,5,1,7,3,6]=>0101010=>[2,2,2,2] [4,7,2,5,1,8,3,6]=>0101010=>[2,2,2,2] [3,7,2,1,5,8,4,6]=>0110010=>[2,1,3,2] [3,7,2,1,4,8,5,6]=>0110010=>[2,1,3,2] [3,2,1,7,5,8,6,4]=>1101011=>[1,1,2,2,1,1] [3,2,7,1,6,8,4,5]=>1010010=>[1,2,3,2] [4,2,7,6,1,8,3,5]=>1011010=>[1,2,1,2,2] [4,3,7,6,8,1,2,5]=>1010100=>[1,2,2,3] [4,3,8,6,7,1,2,5]=>1010100=>[1,2,2,3] [4,2,8,6,1,7,3,5]=>1011010=>[1,2,1,2,2] [3,2,8,1,6,7,4,5]=>1010010=>[1,2,3,2] [3,2,1,8,7,5,6,4]=>1101101=>[1,1,2,1,2,1] [3,8,2,1,7,4,5,6]=>0110100=>[2,1,2,3] [3,2,8,1,7,4,6,5]=>1010101=>[1,2,2,2,1] [3,2,8,1,6,4,7,5]=>1010101=>[1,2,2,2,1] [3,2,7,1,6,4,8,5]=>1010101=>[1,2,2,2,1] [4,2,7,6,1,3,8,5]=>1011001=>[1,2,1,3,1] [4,2,8,6,1,3,7,5]=>1011001=>[1,2,1,3,1] [4,2,8,7,1,3,6,5]=>1011001=>[1,2,1,3,1] [5,7,8,3,4,1,2,6]=>0010100=>[3,2,3] [4,2,7,8,1,3,6,5]=>1001001=>[1,3,3,1] [4,2,6,8,1,3,7,5]=>1001001=>[1,3,3,1] [4,2,6,7,1,3,8,5]=>1001001=>[1,3,3,1] [3,2,6,1,8,4,7,5]=>1010101=>[1,2,2,2,1] [3,7,2,1,8,4,5,6]=>0110100=>[2,1,2,3] [3,7,2,1,8,5,4,6]=>0110110=>[2,1,2,1,2] [4,7,3,8,5,1,2,6]=>0101100=>[2,2,1,3] [4,3,7,8,6,1,2,5]=>1001100=>[1,3,1,3] [3,2,7,1,8,6,4,5]=>1010110=>[1,2,2,1,2] [3,2,1,6,8,5,7,4]=>1100101=>[1,1,3,2,1] [3,2,6,1,8,7,4,5]=>1010110=>[1,2,2,1,2] [4,2,6,8,1,7,3,5]=>1001010=>[1,3,2,2] [4,3,6,8,7,1,2,5]=>1001100=>[1,3,1,3] [4,2,6,7,1,8,3,5]=>1001010=>[1,3,2,2] [3,2,6,1,7,8,4,5]=>1010010=>[1,2,3,2] [3,4,6,8,7,5,1,2]=>0001110=>[4,1,1,2] [5,3,6,4,8,7,1,2]=>1010110=>[1,2,2,1,2] [1,4,6,2,7,8,5,3]=>0010011=>[3,3,1,1] [3,1,8,5,4,2,6,7]=>1011100=>[1,2,1,1,3] [1,2,7,5,4,8,6,3]=>0011011=>[3,1,2,1,1] [6,3,7,5,4,8,1,2]=>1011010=>[1,2,1,2,2] [7,3,8,5,4,6,1,2]=>1011010=>[1,2,1,2,2] [3,8,7,5,4,6,1,2]=>0111010=>[2,1,1,2,2] [4,3,6,7,8,5,1,2]=>1000110=>[1,4,1,2] [4,5,6,3,8,7,1,2]=>0010110=>[3,2,1,2] [3,6,8,5,4,7,1,2]=>0011010=>[3,1,2,2] [6,8,3,5,4,7,1,2]=>0101010=>[2,2,2,2] [7,6,3,5,4,8,1,2]=>1101010=>[1,1,2,2,2] [1,6,2,5,4,8,7,3]=>0101011=>[2,2,2,1,1] [7,1,2,5,8,3,6,4]=>1000101=>[1,4,2,1] [1,8,2,5,7,3,6,4]=>0100101=>[2,3,2,1] [6,2,1,5,4,8,7,3]=>1101011=>[1,1,2,2,1,1] [4,1,6,2,8,7,5,3]=>1010111=>[1,2,2,1,1,1] [7,8,1,2,4,6,5,3]=>0100011=>[2,4,1,1] [7,8,3,1,4,2,6,5]=>0110101=>[2,1,2,2,1] [4,3,6,1,8,2,7,5]=>1010101=>[1,2,2,2,1] [2,3,8,5,4,1,6,7]=>0011100=>[3,1,1,3] [4,8,1,5,2,3,7,6]=>0101001=>[2,2,3,1] [7,5,1,6,4,3,2,8]=>1101110=>[1,1,2,1,1,2] [5,8,1,6,4,3,2,7]=>0101110=>[2,2,1,1,2] [6,1,5,7,4,3,2,8]=>1001110=>[1,3,1,1,2] [1,5,8,6,4,3,2,7]=>0011110=>[3,1,1,1,2] [3,4,6,1,5,8,2,7]=>0010010=>[3,3,2] [7,8,4,1,5,3,2,6]=>0110110=>[2,1,2,1,2] [7,8,5,1,6,3,2,4]=>0110110=>[2,1,2,1,2] [2,6,1,5,7,3,8,4]=>0100101=>[2,3,2,1] [1,6,8,7,4,3,2,5]=>0011110=>[3,1,1,1,2] [6,8,1,7,4,3,2,5]=>0101110=>[2,2,1,1,2] [5,6,1,7,4,3,2,8]=>0101110=>[2,2,1,1,2] [5,1,7,6,4,3,2,8]=>1011110=>[1,2,1,1,1,2] [6,1,7,8,4,3,2,5]=>1001110=>[1,3,1,1,2] [7,1,8,6,4,3,2,5]=>1011110=>[1,2,1,1,1,2] [1,8,7,6,4,3,2,5]=>0111110=>[2,1,1,1,1,2] [2,1,7,5,6,3,8,4]=>1010101=>[1,2,2,2,1] [3,1,6,7,5,8,2,4]=>1001010=>[1,3,2,2] [7,8,1,6,5,3,2,4]=>0101110=>[2,2,1,1,2] [7,8,2,1,4,5,6,3]=>0110001=>[2,1,4,1] [2,8,1,5,4,6,7,3]=>0101001=>[2,2,3,1] [7,2,1,5,4,6,8,3]=>1101001=>[1,1,2,3,1] [1,2,8,5,6,3,7,4]=>0010101=>[3,2,2,1] [6,1,2,5,7,3,8,4]=>1000101=>[1,4,2,1] [4,2,1,5,6,3,7,8]=>1100100=>[1,1,3,3] [4,3,6,1,5,7,2,8]=>1010010=>[1,2,3,2] [5,1,6,3,7,8,2,4]=>1010010=>[1,2,3,2] [1,3,6,8,5,7,2,4]=>0001010=>[4,2,2] [2,4,6,3,7,1,8,5]=>0010101=>[3,2,2,1] [1,3,6,4,8,7,2,5]=>0010110=>[3,2,1,2] [4,1,6,7,3,8,2,5]=>1001010=>[1,3,2,2] [5,4,6,1,3,7,2,8]=>1010010=>[1,2,3,2] [6,4,1,5,2,3,7,8]=>1101000=>[1,1,2,4] [4,1,7,5,2,3,8,6]=>1011001=>[1,2,1,3,1] [1,2,4,5,8,3,7,6]=>0000101=>[5,2,1] [7,2,3,5,4,1,8,6]=>1001101=>[1,3,1,2,1] [2,8,3,5,4,1,7,6]=>0101101=>[2,2,1,2,1] [4,2,6,3,8,1,7,5]=>1010101=>[1,2,2,2,1] [7,8,2,3,4,1,6,5]=>0100101=>[2,3,2,1] [7,8,1,4,6,3,2,5]=>0100110=>[2,3,1,2] [3,1,6,4,7,8,2,5]=>1010010=>[1,2,3,2] [1,8,5,7,4,3,2,6]=>0101110=>[2,2,1,1,2] [7,1,5,8,4,3,2,6]=>1001110=>[1,3,1,1,2] [5,1,8,7,4,3,2,6]=>1011110=>[1,2,1,1,1,2] [6,5,1,8,4,3,2,7]=>1101110=>[1,1,2,1,1,2] [6,5,7,1,4,3,2,8]=>1010110=>[1,2,2,1,2] [7,5,8,1,4,3,2,6]=>1010110=>[1,2,2,1,2] [5,8,7,1,4,3,2,6]=>0110110=>[2,1,2,1,2] [1,5,7,8,4,3,2,6]=>0001110=>[4,1,1,2] [2,4,7,5,1,3,8,6]=>0011001=>[3,1,3,1] [7,8,4,6,1,3,2,5]=>0101010=>[2,2,2,2] [7,8,5,4,1,3,2,6]=>0111010=>[2,1,1,2,2] [3,5,6,4,1,8,2,7]=>0011010=>[3,1,2,2] [2,6,4,5,1,3,8,7]=>0101001=>[2,2,3,1] [1,6,5,8,4,3,2,7]=>0101110=>[2,2,1,1,2] [6,8,5,1,4,3,2,7]=>0110110=>[2,1,2,1,2] [7,6,5,1,4,3,2,8]=>1110110=>[1,1,1,2,1,2] [1,2,3,4,5,6,9,7,8]=>00000010=>[7,2] [1,2,3,4,5,8,6,9,7]=>00000101=>[6,2,1] [1,2,3,4,7,5,8,9,6]=>00001001=>[5,3,1] [1,2,3,6,4,7,8,9,5]=>00010001=>[4,4,1] [1,2,5,3,6,7,8,9,4]=>00100001=>[3,5,1] [1,4,2,5,6,7,8,9,3]=>01000001=>[2,6,1] [9,8,1,2,3,4,5,6,7]=>11000000=>[1,1,7] [7,8,9,1,2,3,4,5,6]=>00100000=>[3,6] [9,8,7,1,2,3,4,5,6]=>11100000=>[1,1,1,6] [6,7,8,9,1,2,3,4,5]=>00010000=>[4,5] [9,6,7,8,1,2,3,4,5]=>10010000=>[1,3,5] [8,9,6,7,1,2,3,4,5]=>01010000=>[2,2,5] [9,8,6,7,1,2,3,4,5]=>11010000=>[1,1,2,5] [9,8,7,6,1,2,3,4,5]=>11110000=>[1,1,1,1,5] [9,5,6,7,8,1,2,3,4]=>10001000=>[1,4,4] [8,9,5,6,7,1,2,3,4]=>01001000=>[2,3,4] [9,8,5,6,7,1,2,3,4]=>11001000=>[1,1,3,4] [9,7,8,5,6,1,2,3,4]=>10101000=>[1,2,2,4] [9,8,7,5,6,1,2,3,4]=>11101000=>[1,1,1,2,4] [9,8,7,6,5,1,2,3,4]=>11111000=>[1,1,1,1,1,4] [7,8,9,4,5,6,1,2,3]=>00100100=>[3,3,3] [9,7,8,4,5,6,1,2,3]=>10100100=>[1,2,3,3] [9,8,7,4,5,6,1,2,3]=>11100100=>[1,1,1,3,3] [8,9,6,7,4,5,1,2,3]=>01010100=>[2,2,2,3] [9,8,6,7,4,5,1,2,3]=>11010100=>[1,1,2,2,3] [9,8,7,6,4,5,1,2,3]=>11110100=>[1,1,1,1,2,3] [9,8,7,6,5,4,1,2,3]=>11111100=>[1,1,1,1,1,1,3] [9,7,8,5,6,3,4,1,2]=>10101010=>[1,2,2,2,2] [9,8,7,5,6,3,4,1,2]=>11101010=>[1,1,1,2,2,2] [9,8,7,6,5,3,4,1,2]=>11111010=>[1,1,1,1,1,2,2] [9,8,7,6,5,4,3,1,2]=>11111110=>[1,1,1,1,1,1,1,2] [9,10,1,2,3,4,5,6,7,8]=>010000000=>[2,8] [8,9,10,1,2,3,4,5,6,7]=>001000000=>[3,7] [10,8,9,1,2,3,4,5,6,7]=>101000000=>[1,2,7] [10,9,8,1,2,3,4,5,6,7]=>111000000=>[1,1,1,7] [7,8,9,10,1,2,3,4,5,6]=>000100000=>[4,6] [10,7,8,9,1,2,3,4,5,6]=>100100000=>[1,3,6] [9,10,7,8,1,2,3,4,5,6]=>010100000=>[2,2,6] [10,9,7,8,1,2,3,4,5,6]=>110100000=>[1,1,2,6] [10,9,8,7,1,2,3,4,5,6]=>111100000=>[1,1,1,1,6] [10,6,7,8,9,1,2,3,4,5]=>100010000=>[1,4,5] [9,10,6,7,8,1,2,3,4,5]=>010010000=>[2,3,5] [10,9,6,7,8,1,2,3,4,5]=>110010000=>[1,1,3,5] [10,8,9,6,7,1,2,3,4,5]=>101010000=>[1,2,2,5] [10,9,8,6,7,1,2,3,4,5]=>111010000=>[1,1,1,2,5] [10,9,8,7,6,1,2,3,4,5]=>111110000=>[1,1,1,1,1,5] [9,10,5,6,7,8,1,2,3,4]=>010001000=>[2,4,4] [10,9,5,6,7,8,1,2,3,4]=>110001000=>[1,1,4,4] [8,9,10,5,6,7,1,2,3,4]=>001001000=>[3,3,4] [10,9,8,5,6,7,1,2,3,4]=>111001000=>[1,1,1,3,4] [9,10,7,8,5,6,1,2,3,4]=>010101000=>[2,2,2,4] [10,9,7,8,5,6,1,2,3,4]=>110101000=>[1,1,2,2,4] [10,9,8,7,5,6,1,2,3,4]=>111101000=>[1,1,1,1,2,4] [10,9,8,7,6,5,1,2,3,4]=>111111000=>[1,1,1,1,1,1,4] [10,7,8,9,4,5,6,1,2,3]=>100100100=>[1,3,3,3] [9,10,7,8,4,5,6,1,2,3]=>010100100=>[2,2,3,3] [10,9,7,8,4,5,6,1,2,3]=>110100100=>[1,1,2,3,3] [10,9,8,7,4,5,6,1,2,3]=>111100100=>[1,1,1,1,3,3] [10,8,9,6,7,4,5,1,2,3]=>101010100=>[1,2,2,2,3] [10,9,8,6,7,4,5,1,2,3]=>111010100=>[1,1,1,2,2,3] [10,9,8,7,6,4,5,1,2,3]=>111110100=>[1,1,1,1,1,2,3] [10,9,8,7,6,5,4,1,2,3]=>111111100=>[1,1,1,1,1,1,1,3] [9,10,7,8,5,6,3,4,1,2]=>010101010=>[2,2,2,2,2] [10,9,7,8,5,6,3,4,1,2]=>110101010=>[1,1,2,2,2,2] [10,9,8,7,5,6,3,4,1,2]=>111101010=>[1,1,1,1,2,2,2] [10,9,8,7,6,5,3,4,1,2]=>111111010=>[1,1,1,1,1,1,2,2] [10,9,8,7,6,5,4,3,1,2]=>111111110=>[1,1,1,1,1,1,1,1,2] [3,4,6,2,7,1,5,8]=>0010100=>[3,2,3] [3,6,2,5,4,1,7,8]=>0101100=>[2,2,1,3] [3,2,7,5,4,1,6,8]=>1011100=>[1,2,1,1,3] [4,3,6,2,8,1,5,7]=>1010100=>[1,2,2,3] [6,1,2,5,4,7,8,3]=>1001001=>[1,3,3,1] [6,2,4,5,1,3,7,8]=>1001000=>[1,3,4] [4,2,8,5,1,3,7,6]=>1011001=>[1,2,1,3,1] [4,3,6,8,1,7,2,5]=>1001010=>[1,3,2,2] [5,3,6,4,1,7,2,8]=>1011010=>[1,2,1,2,2] [6,2,1,5,8,3,7,4]=>1100101=>[1,1,3,2,1] [1,6,7,4,8,3,5,2]=>0010101=>[3,2,2,1] [1,4,6,3,7,5,8,2]=>0010101=>[3,2,2,1] [4,6,7,2,5,8,1,3]=>0010010=>[3,3,2] [2,4,6,1,7,5,3,8]=>0010110=>[3,2,1,2] [2,7,5,4,1,6,3,8]=>0111010=>[2,1,1,2,2] [7,5,4,6,2,8,1,3]=>1101010=>[1,1,2,2,2] [1,7,5,4,3,8,6,2]=>0111011=>[2,1,1,2,1,1] [1,4,6,3,5,8,7,2]=>0010011=>[3,3,1,1] [1,5,8,4,3,6,7,2]=>0011001=>[3,1,3,1] [5,4,6,2,7,8,1,3]=>1010010=>[1,2,3,2] [2,5,4,1,6,7,3,8]=>0110010=>[2,1,3,2] [5,6,3,2,7,1,4,8]=>0110100=>[2,1,2,3] [5,6,3,2,7,1,8,4]=>0110101=>[2,1,2,2,1] [8,5,6,3,2,7,1,4]=>1011010=>[1,2,1,2,2] [5,4,6,2,8,1,7,3]=>1010101=>[1,2,2,2,1] [2,4,1,7,8,5,3,6]=>0100110=>[2,3,1,2] [2,5,4,1,6,3,8,7]=>0110101=>[2,1,2,2,1] [5,6,3,2,1,8,4,7]=>0111010=>[2,1,1,2,2] [3,5,2,1,6,4,7,8]=>0110100=>[2,1,2,3] [6,8,4,3,2,1,5,7]=>0111100=>[2,1,1,1,3] [5,3,8,2,1,6,4,7]=>1011010=>[1,2,1,2,2] [3,7,5,8,2,1,4,6]=>0101100=>[2,2,1,3] [7,3,2,8,5,1,6,4]=>1101101=>[1,1,2,1,2,1] [8,4,6,3,2,1,7,5]=>1011101=>[1,2,1,1,2,1] [8,6,4,3,2,1,7,5]=>1111101=>[1,1,1,1,1,2,1] [7,6,4,3,2,1,8,5]=>1111101=>[1,1,1,1,1,2,1] [7,8,4,3,2,1,6,5]=>0111101=>[2,1,1,1,2,1] [5,4,7,2,1,8,6,3]=>1011011=>[1,2,1,2,1,1] [7,5,8,3,2,6,1,4]=>1011010=>[1,2,1,2,2] [5,7,3,2,1,6,8,4]=>0111001=>[2,1,1,3,1] [5,7,3,2,1,6,4,8]=>0111010=>[2,1,1,2,2] [6,3,7,2,5,1,8,4]=>1010101=>[1,2,2,2,1] [6,7,8,3,5,2,1,4]=>0010110=>[3,2,1,2] [6,2,5,7,8,4,1,3]=>1000110=>[1,4,1,2] [2,1,5,7,8,6,3,4]=>1000110=>[1,4,1,2] [3,6,7,2,8,1,4,5]=>0010100=>[3,2,3] [6,3,7,2,8,1,4,5]=>1010100=>[1,2,2,3] [3,2,6,1,7,4,5,8]=>1010100=>[1,2,2,3] [3,5,2,1,4,7,6,8]=>0110010=>[2,1,3,2] [7,3,5,2,1,8,4,6]=>1011010=>[1,2,1,2,2] [2,5,4,1,3,7,8,6]=>0110001=>[2,1,4,1] [2,5,8,4,1,3,7,6]=>0011001=>[3,1,3,1] [2,4,1,7,8,3,6,5]=>0100101=>[2,3,2,1] [3,7,2,8,6,1,4,5]=>0101100=>[2,2,1,3] [3,6,8,2,1,7,4,5]=>0011010=>[3,1,2,2] [5,3,8,2,1,4,7,6]=>1011001=>[1,2,1,3,1] [4,8,7,3,2,1,5,6]=>0111100=>[2,1,1,1,3] [4,7,3,2,1,5,6,8]=>0111000=>[2,1,1,4] [8,4,7,3,2,1,5,6]=>1011100=>[1,2,1,1,3] [8,3,5,2,1,4,7,6]=>1011001=>[1,2,1,3,1] [7,3,2,8,6,1,4,5]=>1101100=>[1,1,2,1,3] [3,5,2,1,4,6,8,7]=>0110001=>[2,1,4,1] [7,8,6,5,4,3,2,1,9]=>01111110=>[2,1,1,1,1,1,2] [1,8,9,7,6,5,4,3,2]=>00111111=>[3,1,1,1,1,1,1] [8,9,7,6,5,4,3,2,1,10]=>011111110=>[2,1,1,1,1,1,1,2] [7,6,8,5,4,3,2,1,9]=>10111110=>[1,2,1,1,1,1,2] [6,8,7,5,4,3,2,1,9]=>01111110=>[2,1,1,1,1,1,2] [1,8,7,9,6,5,4,3,2]=>01011111=>[2,2,1,1,1,1,1] [1,7,9,8,6,5,4,3,2]=>00111111=>[3,1,1,1,1,1,1] [1,9,10,8,7,6,5,4,3,2]=>001111111=>[3,1,1,1,1,1,1,1] [7,8,3,5,4,6,1,2]=>0101010=>[2,2,2,2] [8,6,3,7,5,2,4,1]=>1101101=>[1,1,2,1,2,1] [5,4,1,6,3,2,8,7]=>1101101=>[1,1,2,1,2,1] [5,4,1,6,2,3,8,7]=>1101001=>[1,1,2,3,1] [5,7,1,6,2,8,3,4]=>0101010=>[2,2,2,2] [5,7,1,6,2,8,4,3]=>0101011=>[2,2,2,1,1] [2,7,6,5,1,8,3,4]=>0111010=>[2,1,1,2,2] [2,7,6,5,1,8,4,3]=>0111011=>[2,1,1,2,1,1] [2,3,6,5,1,4,8,7]=>0011001=>[3,1,3,1] [2,3,6,4,1,5,8,7]=>0011001=>[3,1,3,1] [2,3,6,1,5,4,8,7]=>0010101=>[3,2,2,1] [2,7,6,1,4,8,5,3]=>0110011=>[2,1,3,1,1] [2,7,6,1,4,8,3,5]=>0110010=>[2,1,3,2] [7,3,5,1,8,4,2,6]=>1010110=>[1,2,2,1,2] [7,3,5,1,8,6,4,2]=>1010111=>[1,2,2,1,1,1] [2,7,6,1,5,8,4,3]=>0110011=>[2,1,3,1,1] [2,7,6,4,1,8,5,3]=>0111011=>[2,1,1,2,1,1] [2,1,7,6,3,8,5,4]=>1011011=>[1,2,1,2,1,1] [2,1,7,6,3,8,4,5]=>1011010=>[1,2,1,2,2] [5,7,3,6,2,8,4,1]=>0101011=>[2,2,2,1,1] [2,7,6,4,1,8,3,5]=>0111010=>[2,1,1,2,2] [7,3,5,1,8,6,2,4]=>1010110=>[1,2,2,1,2] [6,3,5,1,8,2,4,7]=>1010100=>[1,2,2,3] [2,3,4,8,7,6,1,5]=>0001110=>[4,1,1,2] [2,3,4,8,5,7,1,6]=>0001010=>[4,2,2] [7,3,5,4,8,1,2,6]=>1010100=>[1,2,2,3] [6,4,3,5,8,7,2,1]=>1100111=>[1,1,3,1,1,1] [2,1,4,5,8,7,3,6]=>1000110=>[1,4,1,2] [6,4,3,5,8,7,1,2]=>1100110=>[1,1,3,1,2] [7,3,5,4,8,1,6,2]=>1010101=>[1,2,2,2,1] [2,3,4,8,7,5,6,1]=>0001101=>[4,1,2,1] [2,3,4,8,7,5,1,6]=>0001110=>[4,1,1,2] [2,7,6,5,4,8,1,3]=>0111010=>[2,1,1,2,2] [7,3,5,6,8,4,1,2]=>1000110=>[1,4,1,2] [7,3,5,6,8,1,4,2]=>1000101=>[1,4,2,1] [7,3,5,6,8,1,2,4]=>1000100=>[1,4,3] [6,4,1,5,8,7,2,3]=>1100110=>[1,1,3,1,2] [6,4,1,5,8,7,3,2]=>1100111=>[1,1,3,1,1,1] [6,4,1,5,8,3,7,2]=>1100101=>[1,1,3,2,1] [5,7,1,6,3,8,2,4]=>0101010=>[2,2,2,2] [6,4,1,5,8,3,2,7]=>1100110=>[1,1,3,1,2] [7,4,1,5,8,2,3,6]=>1100100=>[1,1,3,3] [7,4,1,5,8,2,6,3]=>1100101=>[1,1,3,2,1] [6,3,5,7,8,2,1,4]=>1000110=>[1,4,1,2] [6,3,5,7,8,2,4,1]=>1000101=>[1,4,2,1] [2,7,6,4,5,8,3,1]=>0110011=>[2,1,3,1,1] [5,7,3,6,1,8,4,2]=>0101011=>[2,2,2,1,1] [2,1,4,5,8,6,3,7]=>1000110=>[1,4,1,2] [7,3,5,4,8,6,2,1]=>1010111=>[1,2,2,1,1,1] [2,3,4,8,5,6,1,7]=>0001010=>[4,2,2] [2,3,4,8,7,1,6,5]=>0001101=>[4,1,2,1] [2,3,4,8,1,7,6,5]=>0001011=>[4,2,1,1] [2,3,4,8,1,6,7,5]=>0001001=>[4,3,1] [2,3,4,8,5,1,7,6]=>0001101=>[4,1,2,1] [6,3,5,4,8,2,7,1]=>1010101=>[1,2,2,2,1] [7,4,3,5,8,2,1,6]=>1100110=>[1,1,3,1,2] [2,1,4,5,8,3,7,6]=>1000101=>[1,4,2,1] [7,4,3,5,8,2,6,1]=>1100101=>[1,1,3,2,1] [6,3,5,4,8,2,1,7]=>1010110=>[1,2,2,1,2] [2,3,4,8,5,1,6,7]=>0001100=>[4,1,3] [2,3,4,8,1,6,5,7]=>0001010=>[4,2,2] [2,3,4,8,1,5,7,6]=>0001001=>[4,3,1] [7,8,2,6,1,5,3,4]=>0101010=>[2,2,2,2] [7,8,1,6,2,5,3,4]=>0101010=>[2,2,2,2] [1,8,6,7,2,5,3,4]=>0101010=>[2,2,2,2] [1,8,5,7,2,6,3,4]=>0101010=>[2,2,2,2] [5,8,1,7,2,6,3,4]=>0101010=>[2,2,2,2] [5,8,2,7,1,6,3,4]=>0101010=>[2,2,2,2] [2,8,6,7,1,5,3,4]=>0101010=>[2,2,2,2] [2,8,5,7,1,6,3,4]=>0101010=>[2,2,2,2] [2,8,1,7,5,6,3,4]=>0101010=>[2,2,2,2] [1,8,2,7,5,6,3,4]=>0101010=>[2,2,2,2] [1,8,2,7,4,6,3,5]=>0101010=>[2,2,2,2] [2,8,1,7,4,6,3,5]=>0101010=>[2,2,2,2] [2,8,4,7,1,6,3,5]=>0101010=>[2,2,2,2] [4,8,2,7,1,6,3,5]=>0101010=>[2,2,2,2] [4,8,1,7,2,6,3,5]=>0101010=>[2,2,2,2] [1,8,4,7,2,6,3,5]=>0101010=>[2,2,2,2] [4,8,1,7,5,6,2,3]=>0101010=>[2,2,2,2] [1,8,4,7,5,6,2,3]=>0101010=>[2,2,2,2] [1,8,3,7,5,6,2,4]=>0101010=>[2,2,2,2] [3,8,1,7,5,6,2,4]=>0101010=>[2,2,2,2] [3,8,1,7,4,6,2,5]=>0101010=>[2,2,2,2] [1,8,3,7,4,6,2,5]=>0101010=>[2,2,2,2] [1,8,3,7,2,6,4,5]=>0101010=>[2,2,2,2] [3,8,1,7,2,6,4,5]=>0101010=>[2,2,2,2] [3,8,2,7,1,6,4,5]=>0101010=>[2,2,2,2] [3,8,2,7,4,6,1,5]=>0101010=>[2,2,2,2] [3,8,2,7,5,6,1,4]=>0101010=>[2,2,2,2] [4,8,2,7,5,6,1,3]=>0101010=>[2,2,2,2] [4,8,3,7,5,6,1,2]=>0101010=>[2,2,2,2] [3,8,4,7,5,6,1,2]=>0101010=>[2,2,2,2] [2,8,4,7,5,6,1,3]=>0101010=>[2,2,2,2] [2,8,3,7,5,6,1,4]=>0101010=>[2,2,2,2] [2,8,3,7,4,6,1,5]=>0101010=>[2,2,2,2] [2,8,3,7,1,6,4,5]=>0101010=>[2,2,2,2] [2,8,1,7,3,6,4,5]=>0101010=>[2,2,2,2] [7,5,2,8,6,4,1,3]=>1101110=>[1,1,2,1,1,2] [7,5,1,8,6,2,3,4]=>1101100=>[1,1,2,1,3] [7,4,8,6,1,5,2,3]=>1011010=>[1,2,1,2,2] [7,1,8,4,5,2,6,3]=>1010101=>[1,2,2,2,1] [6,8,1,7,4,2,5,3]=>0101101=>[2,2,1,2,1] [1,6,7,4,2,8,5,3]=>0011011=>[3,1,2,1,1] [1,6,7,3,8,5,2,4]=>0010110=>[3,2,1,2] [7,1,8,3,5,6,2,4]=>1010010=>[1,2,3,2] [7,3,8,6,2,5,1,4]=>1011010=>[1,2,1,2,2] [7,4,2,8,6,1,3,5]=>1101100=>[1,1,2,1,3] [7,3,1,8,4,2,5,6]=>1101100=>[1,1,2,1,3] [7,2,8,4,1,5,3,6]=>1011010=>[1,2,1,2,2] [7,2,8,3,5,1,6,4]=>1010101=>[1,2,2,2,1] [7,2,8,3,4,6,1,5]=>1010010=>[1,2,3,2] [1,5,7,8,2,6,3,4]=>0001010=>[4,2,2] [6,2,3,8,5,7,4,1]=>1001011=>[1,3,2,1,1] [6,2,4,8,5,3,1,7]=>1001110=>[1,3,1,1,2] [6,3,1,4,8,5,2,7]=>1100110=>[1,1,3,1,2] [2,6,3,7,8,5,4,1]=>0100111=>[2,3,1,1,1] [2,6,3,7,8,4,5,1]=>0100101=>[2,3,2,1] [2,4,7,3,5,6,8,1]=>0010001=>[3,4,1] [2,4,7,3,6,8,5,1]=>0010011=>[3,3,1,1] [2,5,3,7,8,1,6,4]=>0100101=>[2,3,2,1] [3,1,5,4,7,8,2,6]=>1010010=>[1,2,3,2] [5,3,1,4,8,2,6,7]=>1100100=>[1,1,3,3] [5,2,4,8,6,1,3,7]=>1001100=>[1,3,1,3] [5,2,3,8,4,6,7,1]=>1001001=>[1,3,3,1] [4,8,2,3,6,1,7,5]=>0100101=>[2,3,2,1] [4,8,2,3,5,7,1,6]=>0100010=>[2,4,2] [1,4,7,8,3,6,2,5]=>0001010=>[4,2,2] [4,8,1,3,6,7,2,5]=>0100010=>[2,4,2] [5,3,8,2,4,7,1,6]=>1010010=>[1,2,3,2] [5,4,3,8,1,2,7,6]=>1101001=>[1,1,2,3,1] [6,4,2,8,1,3,7,5]=>1101001=>[1,1,2,3,1] [6,3,8,2,5,1,7,4]=>1010101=>[1,2,2,2,1] [6,3,8,1,4,7,2,5]=>1010010=>[1,2,3,2] [5,8,1,3,6,2,7,4]=>0100101=>[2,3,2,1] [1,5,7,4,2,6,8,3]=>0011001=>[3,1,3,1] [5,8,1,4,2,6,3,7]=>0101010=>[2,2,2,2] [5,8,4,1,2,7,6,3]=>0110011=>[2,1,3,1,1] [6,5,1,2,8,7,3,4]=>1100110=>[1,1,3,1,2] [6,5,3,1,4,2,8,7]=>1110101=>[1,1,1,2,2,1] [5,3,1,6,4,2,7,8]=>1101100=>[1,1,2,1,3] [5,2,6,4,1,7,3,8]=>1011010=>[1,2,1,2,2] [4,6,1,7,5,2,8,3]=>0101101=>[2,2,1,2,1] [4,5,1,7,2,6,3,8]=>0101010=>[2,2,2,2] [3,5,6,1,2,8,7,4]=>0010011=>[3,3,1,1] [3,5,7,1,8,6,2,4]=>0010110=>[3,2,1,2] [3,6,2,7,5,1,8,4]=>0101101=>[2,2,1,2,1] [4,2,5,7,1,8,6,3]=>1001011=>[1,3,2,1,1] [3,4,7,2,8,6,1,5]=>0010110=>[3,2,1,2] [3,4,5,8,2,7,1,6]=>0001010=>[4,2,2] [3,4,6,2,8,1,5,7]=>0010100=>[3,2,3] [3,5,2,6,8,1,7,4]=>0100101=>[2,3,2,1] [4,2,5,6,1,3,8,7]=>1001001=>[1,3,3,1] [4,3,1,2,5,6,8,7]=>1100001=>[1,1,5,1] [5,3,6,8,4,7,2,1]=>1001011=>[1,3,2,1,1] [3,7,2,5,4,8,6,1]=>0101011=>[2,2,2,1,1] [8,4,2,5,7,3,6,1]=>1100101=>[1,1,3,2,1] [3,1,6,5,4,8,2,7]=>1011010=>[1,2,1,2,2] [4,1,6,5,8,3,2,7]=>1010110=>[1,2,2,1,2] [5,1,6,8,4,3,2,7]=>1001110=>[1,3,1,1,2] [8,5,4,7,6,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [2,7,1,5,4,3,8,6]=>0101101=>[2,2,1,2,1] [8,2,1,5,4,3,7,6]=>1101101=>[1,1,2,1,2,1] [8,4,1,5,7,3,2,6]=>1100110=>[1,1,3,1,2] [8,4,6,1,7,3,2,5]=>1010110=>[1,2,2,1,2] [8,3,6,1,4,7,2,5]=>1010010=>[1,2,3,2] [2,7,6,1,4,3,8,5]=>0110101=>[2,1,2,2,1] [6,7,8,5,1,3,2,4]=>0011010=>[3,1,2,2] [5,7,2,8,4,3,6,1]=>0101101=>[2,2,1,2,1] [6,7,8,2,4,3,5,1]=>0010101=>[3,2,2,1] [4,7,6,2,8,3,5,1]=>0110101=>[2,1,2,2,1] [8,3,6,2,4,7,5,1]=>1010011=>[1,2,3,1,1] [3,7,6,2,4,8,5,1]=>0110011=>[2,1,3,1,1] [5,7,3,8,4,6,2,1]=>0101011=>[2,2,2,1,1] [4,7,3,5,8,6,2,1]=>0100111=>[2,3,1,1,1] [8,7,2,1,4,3,6,5]=>1110101=>[1,1,1,2,2,1] [8,7,3,1,4,6,2,5]=>1110010=>[1,1,1,3,2] [8,7,6,3,2,5,4,1]=>1111011=>[1,1,1,1,2,1,1] [8,7,3,5,1,6,2,4]=>1101010=>[1,1,2,2,2] [8,7,2,5,1,3,6,4]=>1101001=>[1,1,2,3,1] [8,4,6,5,7,1,2,3]=>1010100=>[1,2,2,3] [4,7,6,5,8,1,2,3]=>0110100=>[2,1,2,3] [3,7,6,5,1,8,2,4]=>0111010=>[2,1,1,2,2] [8,1,2,3,4,5,6,7,9]=>10000000=>[1,8] [1,9,2,3,4,5,6,7,8]=>01000000=>[2,7] [9,1,2,3,4,5,6,7,8,10]=>100000000=>[1,9] [7,8,1,2,3,4,5,6,9]=>01000000=>[2,7] [1,8,9,2,3,4,5,6,7]=>00100000=>[3,6] [1,10,2,3,4,5,6,7,8,9]=>010000000=>[2,8] [10,1,2,3,4,5,6,7,8,9,11]=>1000000000=>[1,10] [8,9,1,2,3,4,5,6,7,10]=>010000000=>[2,8] [7,1,8,2,3,4,5,6,9]=>10100000=>[1,2,6] [6,8,1,2,3,4,5,7,9]=>01000000=>[2,7] [1,8,2,9,3,4,5,6,7]=>01010000=>[2,2,5] [1,7,9,2,3,4,5,6,8]=>00100000=>[3,6] [1,9,10,2,3,4,5,6,7,8]=>001000000=>[3,7] [1,11,2,3,4,5,6,7,8,9,10]=>0100000000=>[2,9] [3,6,4,8,7,5,1,2]=>0101110=>[2,2,1,1,2] [5,6,4,3,8,7,1,2]=>0110110=>[2,1,2,1,2] [1,6,2,4,7,8,5,3]=>0100011=>[2,4,1,1] [3,6,2,4,8,1,5,7]=>0100100=>[2,3,3] [3,4,7,2,8,1,6,5]=>0010101=>[3,2,2,1] [1,4,7,2,5,8,6,3]=>0010011=>[3,3,1,1] [7,3,8,4,5,6,1,2]=>1010010=>[1,2,3,2] [3,5,6,4,8,7,1,2]=>0010110=>[3,2,1,2] [4,6,8,5,3,7,1,2]=>0011010=>[3,1,2,2] [6,8,5,3,4,7,1,2]=>0110010=>[2,1,3,2] [1,6,5,4,2,8,7,3]=>0111011=>[2,1,1,2,1,1] [1,8,5,2,7,3,6,4]=>0110101=>[2,1,2,2,1] [4,2,7,5,1,8,6,3]=>1011011=>[1,2,1,2,1,1] [7,8,1,4,2,6,5,3]=>0101011=>[2,2,2,1,1] [1,3,6,4,8,2,5,7]=>0010100=>[3,2,3] [4,1,7,5,3,2,6,8]=>1011100=>[1,2,1,1,3] [6,5,1,3,4,2,8,7]=>1100101=>[1,1,3,2,1] [4,8,5,3,1,7,2,6]=>0111010=>[2,1,1,2,2] [7,4,5,3,2,8,1,6]=>1011010=>[1,2,1,2,2] [5,8,3,6,1,4,2,7]=>0101010=>[2,2,2,2] [2,5,8,6,4,1,3,7]=>0011100=>[3,1,1,3] [1,4,6,2,5,8,3,7]=>0010010=>[3,3,2] [3,6,2,5,8,1,7,4]=>0100101=>[2,3,2,1] [1,6,8,7,4,2,3,5]=>0011100=>[3,1,1,3] [6,1,7,8,2,4,3,5]=>1001010=>[1,3,2,2] [7,1,8,6,3,4,2,5]=>1011010=>[1,2,1,2,2] [7,2,1,4,5,6,8,3]=>1100001=>[1,1,5,1] [1,2,8,3,6,5,7,4]=>0010101=>[3,2,2,1] [6,1,3,2,7,5,8,4]=>1010101=>[1,2,2,2,1] [1,6,3,8,5,7,2,4]=>0101010=>[2,2,2,2] [2,6,4,1,7,5,8,3]=>0110101=>[2,1,2,2,1] [7,6,5,8,1,4,2,3]=>1101010=>[1,1,2,2,2] [5,8,6,7,3,2,1,4]=>0101110=>[2,2,1,1,2] [1,6,4,3,7,2,8,5]=>0110101=>[2,1,2,2,1] [2,6,3,4,8,7,1,5]=>0100110=>[2,3,1,2] [7,1,3,4,5,2,8,6]=>1000101=>[1,4,2,1] [1,8,3,5,4,2,7,6]=>0101101=>[2,2,1,2,1] [4,1,6,3,8,2,7,5]=>1010101=>[1,2,2,2,1] [7,8,2,4,6,3,1,5]=>0100110=>[2,3,1,2] [3,2,6,4,7,8,1,5]=>1010010=>[1,2,3,2] [2,8,5,7,4,3,1,6]=>0101110=>[2,2,1,1,2] [7,2,5,8,3,4,1,6]=>1001010=>[1,3,2,2] [5,3,8,7,1,2,6,4]=>1011001=>[1,2,1,3,1] [6,5,3,8,2,1,7,4]=>1101101=>[1,1,2,1,2,1] [7,5,8,4,1,2,3,6]=>1011000=>[1,2,1,4] [5,8,7,4,1,3,2,6]=>0111010=>[2,1,1,2,2] [3,5,7,8,4,1,2,6]=>0001100=>[4,1,3] [1,4,7,5,3,8,2,6]=>0011010=>[3,1,2,2] [2,4,6,7,3,1,8,5]=>0001101=>[4,1,2,1] [7,8,4,6,3,1,2,5]=>0101100=>[2,2,1,3] [2,6,4,5,3,8,1,7]=>0101010=>[2,2,2,2] [3,6,5,8,4,2,1,7]=>0101110=>[2,2,1,1,2] [5,6,8,4,2,3,1,7]=>0011010=>[3,1,2,2] [6,8,5,4,3,1,2,7]=>0111100=>[2,1,1,1,3] [6,1,4,2,8,5,7,3]=>1010101=>[1,2,2,2,1] [4,8,6,5,3,2,7,1]=>0111101=>[2,1,1,1,2,1] [8,6,5,1,2,4,7,3]=>1110001=>[1,1,1,4,1] [6,7,5,8,2,1,4,3]=>0101101=>[2,2,1,2,1] [1,7,5,8,2,6,4,3]=>0101011=>[2,2,2,1,1] [1,3,8,5,7,6,2,4]=>0010110=>[3,2,1,2] [6,3,8,5,7,1,2,4]=>1010100=>[1,2,2,3] [8,3,1,5,6,2,7,4]=>1100101=>[1,1,3,2,1] [6,8,5,2,1,4,7,3]=>0111001=>[2,1,1,3,1] [3,8,2,5,6,1,7,4]=>0100101=>[2,3,2,1] [2,8,1,5,6,3,7,4]=>0100101=>[2,3,2,1] [8,1,2,5,6,3,7,4]=>1000101=>[1,4,2,1] [1,8,2,5,7,6,3,4]=>0100110=>[2,3,1,2] [5,1,8,6,2,7,3,4]=>1011010=>[1,2,1,2,2] [2,5,8,6,1,7,3,4]=>0011010=>[3,1,2,2] [8,6,1,5,7,2,3,4]=>1100100=>[1,1,3,3] [3,8,6,5,7,1,2,4]=>0110100=>[2,1,2,3] [7,6,5,8,1,2,4,3]=>1101001=>[1,1,2,3,1] [5,1,7,6,8,4,2,3]=>1010110=>[1,2,2,1,2] [5,1,3,7,8,6,2,4]=>1000110=>[1,4,1,2] [7,2,5,8,1,6,4,3]=>1001011=>[1,3,2,1,1] [3,2,8,5,7,6,1,4]=>1010110=>[1,2,2,1,2] [8,2,1,5,7,6,3,4]=>1100110=>[1,1,3,1,2] [5,2,8,6,1,7,3,4]=>1011010=>[1,2,1,2,2] [1,2,8,6,5,7,3,4]=>0011010=>[3,1,2,2] [4,2,1,3,6,7,8,5]=>1100001=>[1,1,5,1] [8,2,5,6,3,7,1,4]=>1001010=>[1,3,2,2] [7,2,6,5,4,1,8,3]=>1011101=>[1,2,1,1,2,1] [6,1,3,5,4,7,8,2]=>1001001=>[1,3,3,1] [6,1,5,3,4,7,8,2]=>1010001=>[1,2,4,1] [7,5,6,2,4,1,8,3]=>1010101=>[1,2,2,2,1] [8,5,2,6,3,7,1,4]=>1101010=>[1,1,2,2,2] [4,3,1,2,6,7,8,5]=>1100001=>[1,1,5,1] [8,1,6,5,7,3,2,4]=>1010110=>[1,2,2,1,2] [3,5,8,6,2,7,1,4]=>0011010=>[3,1,2,2] [5,8,1,6,3,7,2,4]=>0101010=>[2,2,2,2] [1,8,5,6,3,7,2,4]=>0101010=>[2,2,2,2] [1,7,6,5,4,2,8,3]=>0111101=>[2,1,1,1,2,1] [5,7,6,1,4,2,8,3]=>0110101=>[2,1,2,2,1] [7,1,4,2,6,5,8,3]=>1010101=>[1,2,2,2,1] [4,1,7,3,5,6,8,2]=>1010001=>[1,2,4,1] [2,7,4,1,5,6,8,3]=>0110001=>[2,1,4,1] [5,7,6,4,1,2,8,3]=>0111001=>[2,1,1,3,1] [4,7,6,1,5,2,8,3]=>0110101=>[2,1,2,2,1] [1,7,6,4,5,2,8,3]=>0110101=>[2,1,2,2,1] [1,8,3,6,5,7,2,4]=>0101010=>[2,2,2,2] [3,8,1,6,5,7,2,4]=>0101010=>[2,2,2,2] [8,1,3,5,7,6,2,4]=>1000110=>[1,4,1,2] [7,8,5,4,1,6,2,3]=>0111010=>[2,1,1,2,2] [6,1,5,4,3,7,8,2]=>1011001=>[1,2,1,3,1] [7,5,6,4,2,1,8,3]=>1011101=>[1,2,1,1,2,1] [8,3,2,6,5,7,1,4]=>1101010=>[1,1,2,2,2] [7,4,6,2,5,1,8,3]=>1010101=>[1,2,2,2,1] [6,1,4,3,5,7,8,2]=>1010001=>[1,2,4,1] [6,1,3,4,5,7,8,2]=>1000001=>[1,6,1] [7,2,6,4,5,1,8,3]=>1010101=>[1,2,2,2,1] [8,2,3,6,5,7,1,4]=>1001010=>[1,3,2,2] [5,4,7,3,6,8,1,2]=>1010010=>[1,2,3,2] [3,4,7,8,5,6,1,2]=>0001010=>[4,2,2] [3,4,7,2,5,1,6,8]=>0010100=>[3,2,3] [1,4,7,2,5,8,3,6]=>0010010=>[3,3,2] [3,6,2,4,7,1,5,8]=>0100100=>[2,3,3] [6,8,3,4,5,7,1,2]=>0100010=>[2,4,2] [4,3,6,7,5,8,1,2]=>1001010=>[1,3,2,2] [6,3,7,5,8,4,1,2]=>1010110=>[1,2,2,1,2] [7,3,8,6,4,5,1,2]=>1011010=>[1,2,1,2,2] [3,2,7,6,5,1,4,8]=>1011100=>[1,2,1,1,3] [1,2,7,6,5,8,3,4]=>0011010=>[3,1,2,2] [4,8,2,6,1,5,3,7]=>0101010=>[2,2,2,2] [2,3,8,6,4,1,5,7]=>0011100=>[3,1,1,3] [4,3,6,2,5,1,8,7]=>1010101=>[1,2,2,2,1] [7,8,3,2,5,1,4,6]=>0110100=>[2,1,2,3] [7,8,1,2,5,6,3,4]=>0100010=>[2,4,2] [4,1,6,2,5,7,3,8]=>1010010=>[1,2,3,2] [6,1,2,5,8,7,3,4]=>1000110=>[1,4,1,2] [2,1,8,6,4,7,3,5]=>1011010=>[1,2,1,2,2] [7,1,3,6,8,4,2,5]=>1000110=>[1,4,1,2] [1,8,3,6,7,4,5,2]=>0100101=>[2,3,2,1] [7,1,5,8,3,6,2,4]=>1001010=>[1,3,2,2] [5,1,8,7,2,3,6,4]=>1011001=>[1,2,1,3,1] [6,1,5,7,4,2,8,3]=>1001101=>[1,3,1,2,1] [3,1,6,4,7,2,5,8]=>1010100=>[1,2,2,3] [2,4,7,5,1,8,3,6]=>0011010=>[3,1,2,2] [6,5,7,1,4,2,3,8]=>1010100=>[1,2,2,3] [5,6,8,1,3,2,4,7]=>0010100=>[3,2,3] [6,8,5,1,3,4,2,7]=>0110010=>[2,1,3,2] [2,8,3,4,5,1,7,6]=>0100101=>[2,3,2,1] [6,2,4,3,1,5,7,8]=>1011000=>[1,2,1,4] [4,2,8,3,1,7,5,6]=>1011010=>[1,2,1,2,2] [1,3,7,4,8,2,5,6]=>0010100=>[3,2,3] [5,3,7,4,1,6,2,8]=>1011010=>[1,2,1,2,2] [2,4,7,3,6,1,8,5]=>0010101=>[3,2,2,1] [5,8,7,6,3,1,2,4]=>0111100=>[2,1,1,1,3] [7,5,6,8,1,4,3,2]=>1001011=>[1,3,2,1,1] [2,4,7,1,6,5,3,8]=>0010110=>[3,2,1,2] [1,2,7,8,5,4,3,6]=>0001110=>[4,1,1,2] [6,3,1,2,8,4,5,7]=>1100100=>[1,1,3,3] [4,2,1,3,6,5,8,7]=>1100101=>[1,1,3,2,1] [2,8,1,4,5,6,3,7]=>0100010=>[2,4,2] [7,2,1,5,4,6,3,8]=>1101010=>[1,1,2,2,2] [4,2,6,1,8,5,3,7]=>1010110=>[1,2,2,1,2] [7,8,2,1,4,5,3,6]=>0110010=>[2,1,3,2] [7,8,4,1,5,3,6,2]=>0110101=>[2,1,2,2,1] [3,4,6,1,5,8,7,2]=>0010011=>[3,3,1,1] [7,5,1,6,4,3,8,2]=>1101101=>[1,1,2,1,2,1] [5,8,1,6,3,4,7,2]=>0101001=>[2,2,3,1] [6,5,1,8,2,7,4,3]=>1101011=>[1,1,2,2,1,1] [6,8,1,7,5,2,3,4]=>0101100=>[2,2,1,3] [7,6,1,8,5,3,2,4]=>1101110=>[1,1,2,1,1,2] [5,6,1,7,4,8,2,3]=>0101010=>[2,2,2,2] [3,6,1,5,7,4,2,8]=>0100110=>[2,3,1,2] [2,5,6,1,7,4,8,3]=>0010101=>[3,2,2,1] [3,1,7,5,6,4,8,2]=>1010101=>[1,2,2,2,1] [5,1,7,6,4,8,3,2]=>1011011=>[1,2,1,2,1,1] [6,1,7,8,5,3,4,2]=>1001101=>[1,3,1,2,1] [7,1,8,6,5,4,2,3]=>1011110=>[1,2,1,1,1,2] [2,6,5,7,3,4,8,1]=>0101001=>[2,2,3,1] [1,6,4,7,5,8,2,3]=>0101010=>[2,2,2,2] [8,5,3,6,2,7,4,1]=>1101011=>[1,1,2,2,1,1] [1,3,7,4,6,8,2,5]=>0010010=>[3,3,2] [4,7,5,6,3,2,8,1]=>0101101=>[2,2,1,2,1] [1,7,6,5,4,8,2,3]=>0111010=>[2,1,1,2,2] [8,1,6,5,7,2,4,3]=>1010101=>[1,2,2,2,1] [1,2,7,6,8,3,4,5]=>0010100=>[3,2,3] [6,1,7,5,3,8,2,4]=>1011010=>[1,2,1,2,2] [2,1,7,5,6,8,3,4]=>1010010=>[1,2,3,2] [5,4,1,7,6,8,2,3]=>1101010=>[1,1,2,2,2] [4,8,5,6,2,7,3,1]=>0101011=>[2,2,2,1,1] [3,8,6,4,2,7,5,1]=>0111011=>[2,1,1,2,1,1] [7,8,5,2,4,6,3,1]=>0110011=>[2,1,3,1,1] [2,8,6,3,7,4,5,1]=>0110101=>[2,1,2,2,1] [7,8,1,6,2,4,5,3]=>0101001=>[2,2,3,1] [6,8,1,4,7,2,5,3]=>0100101=>[2,3,2,1] [3,8,4,1,7,2,6,5]=>0110101=>[2,1,2,2,1] [5,4,7,1,8,3,2,6]=>1010110=>[1,2,2,1,2] [3,7,4,1,8,5,2,6]=>0110110=>[2,1,2,1,2] [6,7,1,4,8,3,2,5]=>0100110=>[2,3,1,2] [2,7,1,8,4,5,3,6]=>0101010=>[2,2,2,2] [6,1,2,8,4,3,5,7]=>1001100=>[1,3,1,3] [6,5,1,4,3,8,2,7]=>1101010=>[1,1,2,2,2] [1,6,2,5,8,3,4,7]=>0100100=>[2,3,3] [8,5,1,3,7,2,6,4]=>1100101=>[1,1,3,2,1] [8,4,2,1,7,3,6,5]=>1110101=>[1,1,1,2,2,1] [7,4,2,1,8,5,3,6]=>1110110=>[1,1,1,2,1,2] [1,5,4,2,8,3,6,7]=>0110100=>[2,1,2,3] [6,4,3,1,5,8,2,7]=>1110010=>[1,1,1,3,2] [3,7,6,8,4,5,2,1]=>0101011=>[2,2,2,1,1] [2,7,6,8,5,3,4,1]=>0101101=>[2,2,1,2,1] [1,7,6,8,5,4,2,3]=>0101110=>[2,2,1,1,2] [1,4,8,6,7,5,2,3]=>0010110=>[3,2,1,2] [2,4,8,6,7,3,5,1]=>0010101=>[3,2,2,1] [7,3,8,5,4,6,2,1]=>1011011=>[1,2,1,2,1,1] [3,4,8,5,6,7,2,1]=>0010011=>[3,3,1,1] [6,3,5,8,4,7,2,1]=>1001011=>[1,3,2,1,1] [5,4,3,8,6,7,2,1]=>1101011=>[1,1,2,2,1,1] [5,4,2,8,7,3,6,1]=>1101101=>[1,1,2,1,2,1] [6,2,5,8,7,3,4,1]=>1001101=>[1,3,1,2,1] [3,2,8,5,7,4,6,1]=>1010101=>[1,2,2,2,1] [1,3,8,7,5,6,2,4]=>0011010=>[3,1,2,2] [2,1,8,7,4,6,3,5]=>1011010=>[1,2,1,2,2] [3,1,8,5,7,6,2,4]=>1010110=>[1,2,2,1,2] [6,1,5,8,7,4,2,3]=>1001110=>[1,3,1,1,2] [5,4,1,8,7,6,2,3]=>1101110=>[1,1,2,1,1,2] [5,8,6,7,4,3,2,1]=>0101111=>[2,2,1,1,1,1] [4,8,7,5,6,3,2,1]=>0110111=>[2,1,2,1,1,1] [4,2,1,6,3,5,8,7]=>1101001=>[1,1,2,3,1] [6,2,1,4,3,5,8,7]=>1101001=>[1,1,2,3,1] [6,2,1,4,3,8,5,7]=>1101010=>[1,1,2,2,2] [8,2,1,4,3,6,5,7]=>1101010=>[1,1,2,2,2] [8,2,4,1,3,6,5,7]=>1010010=>[1,2,3,2] [6,2,4,1,3,8,5,7]=>1010010=>[1,2,3,2] [6,2,4,1,3,5,8,7]=>1010001=>[1,2,4,1] [4,2,6,1,3,5,8,7]=>1010001=>[1,2,4,1] [2,1,6,4,3,5,8,7]=>1011001=>[1,2,1,3,1] [2,6,1,4,3,5,8,7]=>0101001=>[2,2,3,1] [2,6,4,1,3,5,8,7]=>0110001=>[2,1,4,1] [4,6,2,1,3,5,8,7]=>0110001=>[2,1,4,1] [6,4,2,1,3,5,8,7]=>1110001=>[1,1,1,4,1] [8,4,2,1,3,6,5,7]=>1110010=>[1,1,1,3,2] [8,4,2,1,6,3,5,7]=>1110100=>[1,1,1,2,3] [6,4,2,1,8,3,5,7]=>1110100=>[1,1,1,2,3] [4,6,2,1,8,3,5,7]=>0110100=>[2,1,2,3] [2,6,1,4,3,8,5,7]=>0101010=>[2,2,2,2] [2,1,6,4,3,8,5,7]=>1011010=>[1,2,1,2,2] [2,1,8,4,3,6,5,7]=>1011010=>[1,2,1,2,2] [2,8,1,4,3,6,5,7]=>0101010=>[2,2,2,2] [2,8,4,1,3,6,5,7]=>0110010=>[2,1,3,2] [4,8,2,1,3,6,5,7]=>0110010=>[2,1,3,2] [4,8,2,1,6,3,5,7]=>0110100=>[2,1,2,3] [6,8,2,1,4,3,5,7]=>0110100=>[2,1,2,3] [8,6,2,1,4,3,5,7]=>1110100=>[1,1,1,2,3] [2,8,1,4,6,3,5,7]=>0100100=>[2,3,3] [2,1,8,4,6,3,5,7]=>1010100=>[1,2,2,3] [2,1,6,4,8,3,5,7]=>1010100=>[1,2,2,3] [2,6,1,4,8,3,5,7]=>0100100=>[2,3,3] [2,6,4,1,8,3,5,7]=>0110100=>[2,1,2,3] [2,6,4,8,1,3,5,7]=>0101000=>[2,2,4] [4,6,2,8,1,3,5,7]=>0101000=>[2,2,4] [4,2,6,1,3,8,5,7]=>1010010=>[1,2,3,2] [4,2,6,1,8,3,5,7]=>1010100=>[1,2,2,3] [6,2,4,1,8,3,5,7]=>1010100=>[1,2,2,3] [8,2,4,1,6,3,5,7]=>1010100=>[1,2,2,3] [8,2,1,4,6,3,5,7]=>1100100=>[1,1,3,3] [6,2,1,4,8,3,5,7]=>1100100=>[1,1,3,3] [4,2,1,6,8,3,5,7]=>1100100=>[1,1,3,3] [4,2,1,6,3,8,5,7]=>1101010=>[1,1,2,2,2] [4,2,1,3,6,8,5,7]=>1100010=>[1,1,4,2] [2,1,4,3,8,6,5,7]=>1010110=>[1,2,2,1,2] [2,4,1,3,8,6,5,7]=>0100110=>[2,3,1,2] [4,2,1,3,8,6,5,7]=>1100110=>[1,1,3,1,2] [4,2,1,8,3,6,5,7]=>1101010=>[1,1,2,2,2] [4,2,1,8,6,3,5,7]=>1101100=>[1,1,2,1,3] [6,2,1,8,4,3,5,7]=>1101100=>[1,1,2,1,3] [8,2,1,6,4,3,5,7]=>1101100=>[1,1,2,1,3] [8,2,6,1,4,3,5,7]=>1010100=>[1,2,2,3] [6,2,8,1,4,3,5,7]=>1010100=>[1,2,2,3] [4,2,8,1,6,3,5,7]=>1010100=>[1,2,2,3] [4,2,8,1,3,6,5,7]=>1010010=>[1,2,3,2] [2,4,8,1,3,6,5,7]=>0010010=>[3,3,2] [2,4,1,8,3,6,5,7]=>0101010=>[2,2,2,2] [2,1,4,8,3,6,5,7]=>1001010=>[1,3,2,2] [2,1,4,8,6,3,5,7]=>1001100=>[1,3,1,3] [2,4,8,1,6,3,5,7]=>0010100=>[3,2,3] [2,4,8,6,1,3,5,7]=>0011000=>[3,1,4] [4,2,8,6,1,3,5,7]=>1011000=>[1,2,1,4] [6,2,8,4,1,3,5,7]=>1011000=>[1,2,1,4] [8,2,6,4,1,3,5,7]=>1011000=>[1,2,1,4] [8,4,6,2,1,3,5,7]=>1011000=>[1,2,1,4] [6,4,8,2,1,3,5,7]=>1011000=>[1,2,1,4] [4,6,8,2,1,3,5,7]=>0011000=>[3,1,4] [2,6,8,4,1,3,5,7]=>0011000=>[3,1,4] [2,6,8,1,4,3,5,7]=>0010100=>[3,2,3] [2,6,1,8,4,3,5,7]=>0101100=>[2,2,1,3] [2,1,6,8,4,3,5,7]=>1001100=>[1,3,1,3] [2,1,8,6,4,3,5,7]=>1011100=>[1,2,1,1,3] [2,8,1,6,4,3,5,7]=>0101100=>[2,2,1,3] [2,8,6,4,1,3,5,7]=>0111000=>[2,1,1,4] [4,8,6,2,1,3,5,7]=>0111000=>[2,1,1,4] [6,8,4,2,1,3,5,7]=>0111000=>[2,1,1,4] [3,2,6,1,5,4,8,7]=>1010101=>[1,2,2,2,1] [5,2,4,3,8,1,7,6]=>1010101=>[1,2,2,2,1] [6,2,4,1,5,3,8,7]=>1010101=>[1,2,2,2,1] [4,3,6,1,5,2,8,7]=>1010101=>[1,2,2,2,1] [4,3,5,2,8,1,7,6]=>1010101=>[1,2,2,2,1] [4,3,7,2,6,5,8,1]=>1010101=>[1,2,2,2,1] [4,3,8,2,6,1,7,5]=>1010101=>[1,2,2,2,1] [4,3,8,1,7,2,6,5]=>1010101=>[1,2,2,2,1] [4,3,8,1,5,2,7,6]=>1010101=>[1,2,2,2,1] [5,1,8,3,4,2,7,6]=>1010101=>[1,2,2,2,1] [5,4,8,1,3,2,7,6]=>1010101=>[1,2,2,2,1] [2,1,5,4,8,3,7,6]=>1010101=>[1,2,2,2,1] [5,1,7,6,8,3,4,2]=>1010101=>[1,2,2,2,1] [4,3,7,6,8,1,5,2]=>1010101=>[1,2,2,2,1] [4,3,7,1,8,5,6,2]=>1010101=>[1,2,2,2,1] [4,3,6,5,8,1,7,2]=>1010101=>[1,2,2,2,1] [6,3,5,4,7,2,8,1]=>1010101=>[1,2,2,2,1] [6,3,5,4,8,1,7,2]=>1010101=>[1,2,2,2,1] [7,1,6,3,8,4,5,2]=>1010101=>[1,2,2,2,1] [7,4,6,5,8,1,3,2]=>1010101=>[1,2,2,2,1] [2,1,8,4,6,3,7,5]=>1010101=>[1,2,2,2,1] [8,4,6,1,3,2,7,5]=>1010101=>[1,2,2,2,1] [8,1,6,3,4,2,7,5]=>1010101=>[1,2,2,2,1] [8,1,6,3,7,2,5,4]=>1010101=>[1,2,2,2,1] [8,3,5,1,7,2,6,4]=>1010101=>[1,2,2,2,1] [8,3,5,2,6,1,7,4]=>1010101=>[1,2,2,2,1] [7,3,5,2,6,4,8,1]=>1010101=>[1,2,2,2,1] [8,2,6,3,5,1,7,4]=>1010101=>[1,2,2,2,1] [8,2,7,1,5,3,6,4]=>1010101=>[1,2,2,2,1] [8,2,4,1,5,3,7,6]=>1010101=>[1,2,2,2,1] [8,2,4,1,7,3,6,5]=>1010101=>[1,2,2,2,1] [8,2,4,3,6,1,7,5]=>1010101=>[1,2,2,2,1] [3,2,8,4,6,1,7,5]=>1010101=>[1,2,2,2,1] [3,2,8,1,5,4,7,6]=>1010101=>[1,2,2,2,1] [3,2,7,6,8,1,5,4]=>1010101=>[1,2,2,2,1] [3,2,7,1,8,5,6,4]=>1010101=>[1,2,2,2,1] [3,2,6,5,8,1,7,4]=>1010101=>[1,2,2,2,1] [6,5,7,2,4,3,8,1]=>1010101=>[1,2,2,2,1] [6,5,8,2,4,1,7,3]=>1010101=>[1,2,2,2,1] [7,2,4,1,8,5,6,3]=>1010101=>[1,2,2,2,1] [7,6,8,2,4,1,5,3]=>1010101=>[1,2,2,2,1] [7,6,8,1,5,2,4,3]=>1010101=>[1,2,2,2,1] [2,1,7,3,8,5,6,4]=>1010101=>[1,2,2,2,1] [7,1,3,2,8,5,6,4]=>1010101=>[1,2,2,2,1] [7,1,8,5,6,2,4,3]=>1010101=>[1,2,2,2,1] [7,1,8,2,6,4,5,3]=>1010101=>[1,2,2,2,1] [7,2,8,1,5,4,6,3]=>1010101=>[1,2,2,2,1] [6,2,7,4,5,3,8,1]=>1010101=>[1,2,2,2,1] [5,4,7,2,6,3,8,1]=>1010101=>[1,2,2,2,1] [5,4,8,2,6,1,7,3]=>1010101=>[1,2,2,2,1] [6,5,8,1,7,2,4,3]=>1010101=>[1,2,2,2,1] [2,1,6,5,8,3,7,4]=>1010101=>[1,2,2,2,1] [6,5,7,4,8,1,3,2]=>1010101=>[1,2,2,2,1] [6,5,7,1,8,3,4,2]=>1010101=>[1,2,2,2,1] [6,1,7,4,8,3,5,2]=>1010101=>[1,2,2,2,1] [5,4,7,1,8,3,6,2]=>1010101=>[1,2,2,2,1] [5,4,6,3,8,1,7,2]=>1010101=>[1,2,2,2,1] [2,1,7,9,10,11,6,12,8,5,4,3]=>10000101111=>[1,5,2,1,1,1,1] [2,1,8,9,10,11,12,7,6,5,4,3]=>10000011111=>[1,6,1,1,1,1,1] [3,4,2,1,6,5,8,7,10,9,12,11]=>01101010101=>[2,1,2,2,2,2,1] [3,5,2,6,4,1,8,7,10,9,12,11]=>01011010101=>[2,2,1,2,2,2,1] [3,5,2,7,4,8,6,1,10,9,12,11]=>01010110101=>[2,2,2,1,2,2,1] [3,5,2,7,4,9,6,10,8,1,12,11]=>01010101101=>[2,2,2,2,1,2,1] [3,5,2,7,4,9,6,11,8,12,10,1]=>01010101011=>[2,2,2,2,2,1,1] [3,5,2,7,4,10,6,11,12,9,8,1]=>01010100111=>[2,2,2,3,1,1,1] [3,5,2,8,4,10,11,7,12,9,6,1]=>01010010111=>[2,2,3,2,1,1,1] [3,6,2,8,10,5,11,7,12,9,4,1]=>01001010111=>[2,3,2,2,1,1,1] [3,7,2,8,9,11,6,5,4,12,10,1]=>01000111011=>[2,4,1,1,2,1,1] [3,7,2,9,10,11,6,12,8,5,4,1]=>01000101111=>[2,4,2,1,1,1,1] [3,8,2,9,10,11,12,7,6,5,4,1]=>01000011111=>[2,5,1,1,1,1,1] [4,5,7,3,2,9,6,11,8,12,10,1]=>00110101011=>[3,1,2,2,2,1,1] [4,6,7,3,9,5,2,11,8,12,10,1]=>00101101011=>[3,2,1,2,2,1,1] [4,6,8,3,9,5,11,7,2,12,10,1]=>00101011011=>[3,2,2,1,2,1,1] [4,6,8,3,10,5,11,7,12,9,2,1]=>00101010111=>[3,2,2,2,1,1,1] [5,6,9,10,4,3,11,12,8,7,2,1]=>00011001111=>[4,1,3,1,1,1,1] [5,7,8,9,4,10,6,3,2,1,12,11]=>00010111101=>[4,2,1,1,1,2,1] [5,7,8,9,4,11,6,3,2,12,10,1]=>00010111011=>[4,2,1,1,2,1,1] [6,7,8,9,10,5,4,3,2,1,12,11]=>00001111101=>[5,1,1,1,1,2,1] [6,7,9,10,11,5,4,12,8,3,2,1]=>00001101111=>[5,1,2,1,1,1,1] [7,8,9,10,11,12,6,5,4,3,2,1]=>00000111111=>[6,1,1,1,1,1,1] [2,8,3,1,5,4,6,7]=>0110100=>[2,1,2,3] [2,5,3,4,7,1,8,6]=>0100101=>[2,3,2,1] [2,4,8,3,5,7,6,1]=>0010011=>[3,3,1,1] [4,2,5,3,1,8,6,7]=>1011010=>[1,2,1,2,2] [4,2,1,8,5,3,6,7]=>1101100=>[1,1,2,1,3] [5,4,1,3,8,2,6,7]=>1100100=>[1,1,3,3] [5,1,4,8,3,2,6,7]=>1001100=>[1,3,1,3] [1,5,8,4,3,2,6,7]=>0011100=>[3,1,1,3] [1,8,5,4,3,2,6,7]=>0111100=>[2,1,1,1,3] [1,7,4,3,8,5,2,6]=>0110110=>[2,1,2,1,2] [1,5,7,3,8,4,2,6]=>0010110=>[3,2,1,2] [5,1,4,7,8,3,2,6]=>1000110=>[1,4,1,2] [4,8,1,5,7,3,6,2]=>0100101=>[2,3,2,1] [8,1,5,3,7,4,6,2]=>1010101=>[1,2,2,2,1] [3,8,4,7,6,5,2,1]=>0101111=>[2,2,1,1,1,1] [1,6,8,5,3,7,4,2]=>0011011=>[3,1,2,1,1] [6,8,1,7,4,3,5,2]=>0101101=>[2,2,1,2,1] [6,4,8,1,7,3,5,2]=>1010101=>[1,2,2,2,1] [6,4,8,7,1,5,2,3]=>1011010=>[1,2,1,2,2] [7,6,4,1,3,8,2,5]=>1110010=>[1,1,1,3,2] [1,7,5,6,3,2,8,4]=>0101101=>[2,2,1,2,1] [4,2,1,7,8,5,3,6]=>1100110=>[1,1,3,1,2] [2,7,4,6,3,1,8,5]=>0101101=>[2,2,1,2,1] [2,6,8,4,3,7,5,1]=>0011011=>[3,1,2,1,1] [6,2,4,8,3,7,5,1]=>1001011=>[1,3,2,1,1] [7,2,6,3,4,1,8,5]=>1010101=>[1,2,2,2,1] [2,6,7,3,1,4,8,5]=>0011001=>[3,1,3,1] [2,7,1,8,3,5,4,6]=>0101010=>[2,2,2,2] [2,1,7,3,5,8,4,6]=>1010010=>[1,2,3,2] [8,7,1,3,6,2,4,5]=>1100100=>[1,1,3,3] [8,2,1,7,3,5,6,4]=>1101001=>[1,1,2,3,1] [7,8,2,6,3,1,5,4]=>0101101=>[2,2,1,2,1] [8,7,2,6,3,5,4,1]=>1101011=>[1,1,2,2,1,1] [1,2,8,7,4,5,6,3]=>0011001=>[3,1,3,1] [8,3,7,1,5,6,2,4]=>1010010=>[1,2,3,2] [8,6,1,2,7,5,3,4]=>1100110=>[1,1,3,1,2] [8,1,6,2,7,4,5,3]=>1010101=>[1,2,2,2,1] [1,8,5,2,6,7,4,3]=>0110011=>[2,1,3,1,1] [5,2,1,8,6,7,4,3]=>1101011=>[1,1,2,2,1,1] [2,8,5,7,6,4,3,1]=>0101111=>[2,2,1,1,1,1] [1,7,8,5,2,6,4,3]=>0011011=>[3,1,2,1,1] [7,8,1,6,4,2,5,3]=>0101101=>[2,2,1,2,1] [7,8,6,1,5,3,2,4]=>0110110=>[2,1,2,1,2] [7,3,8,6,1,5,2,4]=>1011010=>[1,2,1,2,2] [8,7,6,1,5,3,4,2]=>1110101=>[1,1,1,2,2,1] [8,7,1,6,4,5,3,2]=>1101011=>[1,1,2,2,1,1] [8,1,7,5,6,4,3,2]=>1010111=>[1,2,2,1,1,1] [1,8,6,7,5,4,3,2]=>0101111=>[2,2,1,1,1,1] [6,3,5,2,1,4,8,7]=>1011001=>[1,2,1,3,1] [6,3,5,7,2,8,4,1]=>1001011=>[1,3,2,1,1] [8,5,2,7,4,3,1,6]=>1101110=>[1,1,2,1,1,2] [4,5,3,6,1,2,8,7]=>0101001=>[2,2,3,1] [3,5,1,4,6,2,8,7]=>0100101=>[2,3,2,1] [8,3,4,5,7,2,1,6]=>1000110=>[1,4,1,2] [5,7,4,6,3,8,2,1]=>0101011=>[2,2,2,1,1] [2,8,4,6,3,7,1,5]=>0101010=>[2,2,2,2] [8,1,4,7,3,6,2,5]=>1001010=>[1,3,2,2] [8,3,4,7,5,1,2,6]=>1001100=>[1,3,1,3] [8,5,1,4,7,3,2,6]=>1100110=>[1,1,3,1,2] [8,5,3,7,1,4,2,6]=>1101010=>[1,1,2,2,2] [2,1,8,5,7,4,3,6]=>1010110=>[1,2,2,1,2] [6,5,3,7,1,8,4,2]=>1101011=>[1,1,2,2,1,1] [6,5,1,4,7,8,3,2]=>1100011=>[1,1,4,1,1] [6,3,4,7,5,8,1,2]=>1001010=>[1,3,2,2] [5,1,4,6,8,3,7,2]=>1000101=>[1,4,2,1] [4,7,1,3,5,8,6,2]=>0100011=>[2,4,1,1] [4,8,3,7,1,2,6,5]=>0101001=>[2,2,3,1] [3,8,6,4,1,7,2,5]=>0111010=>[2,1,1,2,2] [3,8,1,2,5,7,6,4]=>0100011=>[2,4,1,1] [2,8,7,5,4,1,3,6]=>0111100=>[2,1,1,1,3] [8,7,2,6,4,1,3,5]=>1101100=>[1,1,2,1,3] [3,8,6,7,4,2,1,5]=>0101110=>[2,2,1,1,2] [5,7,6,8,4,2,3,1]=>0101101=>[2,2,1,2,1] [5,3,7,8,2,4,6,1]=>1001001=>[1,3,3,1] [8,3,6,2,1,4,7,5]=>1011001=>[1,2,1,3,1] [5,3,7,6,2,1,8,4]=>1011101=>[1,2,1,1,2,1] [5,3,6,2,8,7,1,4]=>1010110=>[1,2,2,1,2] [5,7,8,6,4,2,1,3]=>0011110=>[3,1,1,1,2] [2,6,7,5,4,8,1,3]=>0011010=>[3,1,2,2] [6,1,7,4,5,8,2,3]=>1010010=>[1,2,3,2] [6,7,3,5,1,8,2,4]=>0101010=>[2,2,2,2] [2,1,6,7,5,8,3,4]=>1001010=>[1,3,2,2] [2,1,5,7,3,6,8,4]=>1001001=>[1,3,3,1] [5,7,3,6,1,2,8,4]=>0101001=>[2,2,3,1] [4,1,7,2,5,6,8,3]=>1010001=>[1,2,4,1] [2,4,7,1,6,5,8,3]=>0010101=>[3,2,2,1] [4,6,2,1,8,7,5,3]=>0110111=>[2,1,2,1,1,1] [3,4,6,2,7,8,5,1]=>0010011=>[3,3,1,1] [4,6,1,2,5,8,7,3]=>0100011=>[2,4,1,1] [5,6,1,4,8,2,7,3]=>0100101=>[2,3,2,1] [5,6,3,1,8,7,2,4]=>0110110=>[2,1,2,1,2] [3,5,6,4,7,1,8,2]=>0010101=>[3,2,2,1] [3,4,6,1,5,7,8,2]=>0010001=>[3,4,1] [3,4,1,5,7,6,8,2]=>0100101=>[2,3,2,1] [3,8,2,7,1,6,5,4]=>0101011=>[2,2,2,1,1] [3,8,2,7,6,1,5,4]=>0101101=>[2,2,1,2,1] [3,8,2,7,6,5,1,4]=>0101110=>[2,2,1,1,2] [3,8,2,7,6,5,4,1]=>0101111=>[2,2,1,1,1,1] [4,8,7,2,6,5,3,1]=>0110111=>[2,1,2,1,1,1] [4,8,7,2,6,5,1,3]=>0110110=>[2,1,2,1,2] [4,8,7,2,6,1,5,3]=>0110101=>[2,1,2,2,1] [4,8,7,2,1,6,5,3]=>0111011=>[2,1,1,2,1,1] [4,8,7,3,1,6,5,2]=>0111011=>[2,1,1,2,1,1] [4,8,7,3,2,1,6,5]=>0111101=>[2,1,1,1,2,1] [4,8,7,3,2,6,1,5]=>0111010=>[2,1,1,2,2] [4,8,7,3,2,6,5,1]=>0111011=>[2,1,1,2,1,1] [4,8,7,3,6,2,5,1]=>0110101=>[2,1,2,2,1] [4,8,7,3,6,2,1,5]=>0110110=>[2,1,2,1,2] [4,8,7,3,6,1,5,2]=>0110101=>[2,1,2,2,1] [4,8,7,3,6,5,1,2]=>0110110=>[2,1,2,1,2] [4,8,7,3,6,5,2,1]=>0110111=>[2,1,2,1,1,1] [5,8,7,6,3,4,2,1]=>0111011=>[2,1,1,2,1,1] [5,8,7,6,3,1,4,2]=>0111101=>[2,1,1,1,2,1] [5,8,7,6,3,2,4,1]=>0111101=>[2,1,1,1,2,1] [5,8,7,6,2,4,3,1]=>0111011=>[2,1,1,2,1,1] [5,8,7,6,2,1,4,3]=>0111101=>[2,1,1,1,2,1] [5,8,7,6,4,2,3,1]=>0111101=>[2,1,1,1,2,1] [5,8,7,6,4,2,1,3]=>0111110=>[2,1,1,1,1,2] [5,8,7,6,4,1,3,2]=>0111101=>[2,1,1,1,2,1] [5,8,7,6,4,3,1,2]=>0111110=>[2,1,1,1,1,2] [7,3,4,2,1,6,5,8]=>1011010=>[1,2,1,2,2] [7,3,5,2,6,1,4,8]=>1010100=>[1,2,2,3] [7,3,5,2,6,4,1,8]=>1010110=>[1,2,2,1,2] [6,3,5,2,7,4,8,1]=>1010101=>[1,2,2,2,1] [7,2,1,5,6,4,3,8]=>1100110=>[1,1,3,1,2] [7,3,5,1,6,4,2,8]=>1010110=>[1,2,2,1,2] [7,4,5,6,1,3,2,8]=>1001010=>[1,3,2,2] [1,4,5,7,3,2,8,6]=>0001101=>[4,1,2,1] [1,4,6,7,3,8,2,5]=>0001010=>[4,2,2] [6,4,5,7,3,1,8,2]=>1001101=>[1,3,1,2,1] [6,4,5,7,1,3,8,2]=>1001001=>[1,3,3,1] [6,3,5,1,7,4,8,2]=>1010101=>[1,2,2,2,1] [6,2,1,5,7,4,8,3]=>1100101=>[1,1,3,2,1] [3,2,1,5,7,4,8,6]=>1100101=>[1,1,3,2,1] [2,4,6,7,3,8,1,5]=>0001010=>[4,2,2] [1,4,6,7,3,8,5,2]=>0001011=>[4,2,1,1] [1,5,6,7,8,3,4,2]=>0000101=>[5,2,1] [2,5,6,7,8,3,1,4]=>0000110=>[5,1,2] [3,2,1,6,7,8,4,5]=>1100010=>[1,1,4,2] [5,2,1,6,7,8,4,3]=>1100011=>[1,1,4,1,1] [5,3,6,1,7,8,4,2]=>1010011=>[1,2,3,1,1] [5,4,6,7,1,8,3,2]=>1001011=>[1,3,2,1,1] [1,5,6,7,8,3,2,4]=>0000110=>[5,1,2] [6,4,5,7,2,1,8,3]=>1001101=>[1,3,1,2,1] [5,4,6,7,2,8,3,1]=>1001011=>[1,3,2,1,1] [5,3,6,2,7,8,4,1]=>1010011=>[1,2,3,1,1] [5,3,6,2,7,8,1,4]=>1010010=>[1,2,3,2] [6,3,5,2,7,1,8,4]=>1010101=>[1,2,2,2,1] [6,3,4,2,1,7,8,5]=>1011001=>[1,2,1,3,1] [5,3,4,1,2,7,8,6]=>1010001=>[1,2,4,1] [4,3,6,2,7,8,1,5]=>1010010=>[1,2,3,2] [4,3,6,2,7,8,5,1]=>1010011=>[1,2,3,1,1] [1,3,6,2,7,8,5,4]=>0010011=>[3,3,1,1] [1,4,6,7,2,8,5,3]=>0001011=>[4,2,1,1] [3,4,6,7,2,8,5,1]=>0001011=>[4,2,1,1] [3,4,5,7,2,1,8,6]=>0001101=>[4,1,2,1] [4,2,1,5,7,3,8,6]=>1100101=>[1,1,3,2,1] [4,2,1,6,7,8,3,5]=>1100010=>[1,1,4,2] [4,3,6,1,7,8,2,5]=>1010010=>[1,2,3,2] [1,5,6,7,8,2,4,3]=>0000101=>[5,2,1] [1,5,6,7,8,4,2,3]=>0000110=>[5,1,2] [3,4,6,7,1,8,5,2]=>0001011=>[4,2,1,1] [4,3,6,1,7,8,5,2]=>1010011=>[1,2,3,1,1] [4,2,1,6,7,8,5,3]=>1100011=>[1,1,4,1,1] [2,3,6,1,7,8,5,4]=>0010011=>[3,3,1,1] [2,4,6,7,1,8,5,3]=>0001011=>[4,2,1,1] [2,5,6,7,8,1,4,3]=>0000101=>[5,2,1] [2,1,4,3,6,5,8,7,9]=>10101010=>[1,2,2,2,2] [2,4,1,3,6,5,8,7,9]=>01001010=>[2,3,2,2] [2,4,1,6,3,5,8,7,9]=>01010010=>[2,2,3,2] [2,4,1,6,3,8,5,7,9]=>01010100=>[2,2,2,3] [2,4,1,6,3,7,5,9,8]=>01010101=>[2,2,2,2,1] [2,4,1,5,3,7,6,9,8]=>01010101=>[2,2,2,2,1] [2,3,1,5,4,7,6,9,8]=>01010101=>[2,2,2,2,1] [1,3,2,5,4,7,6,9,8]=>01010101=>[2,2,2,2,1] [2,4,1,3,6,5,8,7,10,9]=>010010101=>[2,3,2,2,1] [2,4,6,1,3,5,8,7,9]=>00100010=>[3,4,2] [2,4,1,6,3,5,8,7,10,9]=>010100101=>[2,2,3,2,1] [2,4,1,6,8,3,5,7,9]=>01001000=>[2,3,4] [2,4,1,6,3,8,5,7,10,9]=>010101001=>[2,2,2,3,1] [2,4,1,6,3,8,9,5,7]=>01010010=>[2,2,3,2] [2,4,1,6,3,8,5,10,7,9]=>010101010=>[2,2,2,2,2] [2,4,1,6,3,7,5,8,9]=>01010100=>[2,2,2,3] [2,4,1,6,3,8,5,9,7,10]=>010101010=>[2,2,2,2,2] [2,4,1,5,3,8,6,9,7]=>01010101=>[2,2,2,2,1] [2,4,1,6,3,7,5,9,8,10]=>010101010=>[2,2,2,2,2] [2,3,1,6,4,7,5,9,8]=>01010101=>[2,2,2,2,1] [2,4,1,5,3,7,6,9,8,10]=>010101010=>[2,2,2,2,2] [1,4,2,5,3,7,6,9,8]=>01010101=>[2,2,2,2,1] [2,3,1,5,4,7,6,9,8,10]=>010101010=>[2,2,2,2,2] [1,3,2,5,4,7,6,9,8,10]=>010101010=>[2,2,2,2,2] [7,1,2,3,4,5,6,8,9]=>10000000=>[1,8] [1,4,3,6,2,5,7,8]=>0101000=>[2,2,4] [1,4,3,7,2,5,6,8]=>0101000=>[2,2,4] [1,4,3,7,6,8,2,5]=>0101010=>[2,2,2,2] [1,4,3,7,5,8,2,6]=>0101010=>[2,2,2,2] [1,4,3,7,2,6,5,8]=>0101010=>[2,2,2,2] [1,5,3,7,4,8,2,6]=>0101010=>[2,2,2,2] [1,3,2,6,5,8,4,7]=>0101010=>[2,2,2,2] [1,5,4,8,2,6,3,7]=>0101010=>[2,2,2,2] [1,5,4,8,3,7,2,6]=>0101010=>[2,2,2,2] [1,2,3,6,5,8,4,7]=>0001010=>[4,2,2] [6,8,2,4,5,7,1,3]=>0100010=>[2,4,2] [3,7,8,4,5,2,6,1]=>0010101=>[3,2,2,1] [7,8,1,4,5,3,6,2]=>0100101=>[2,3,2,1] [3,8,7,4,1,6,5,2]=>0111011=>[2,1,1,2,1,1] [4,8,3,6,1,5,7,2]=>0101001=>[2,2,3,1] [5,8,3,1,6,4,7,2]=>0110101=>[2,1,2,2,1] [5,8,1,4,7,6,3,2]=>0100111=>[2,3,1,1,1] [7,5,1,8,6,2,4,3]=>1101101=>[1,1,2,1,2,1] [7,4,1,8,2,6,3,5]=>1101010=>[1,1,2,2,2] [7,1,8,4,2,6,3,5]=>1011010=>[1,2,1,2,2] [1,6,3,8,5,2,4,7]=>0101100=>[2,2,1,3] [6,1,3,8,5,2,4,7]=>1001100=>[1,3,1,3] [7,1,8,3,6,2,5,4]=>1010101=>[1,2,2,2,1] [7,3,1,8,4,2,6,5]=>1101101=>[1,1,2,1,2,1] [7,2,8,4,1,6,5,3]=>1011011=>[1,2,1,2,1,1] [7,2,8,3,6,5,1,4]=>1010110=>[1,2,2,1,2] [7,2,8,3,6,1,5,4]=>1010101=>[1,2,2,2,1] [7,1,8,2,3,6,5,4]=>1010011=>[1,2,3,1,1] [6,1,2,8,3,5,4,7]=>1001010=>[1,3,2,2] [1,5,2,3,8,4,7,6]=>0100101=>[2,3,2,1] [5,1,2,3,8,4,7,6]=>1000101=>[1,4,2,1] [5,2,3,8,1,4,7,6]=>1001001=>[1,3,3,1] [6,2,8,1,3,5,4,7]=>1010010=>[1,2,3,2] [6,2,4,1,8,7,3,5]=>1010110=>[1,2,2,1,2] [6,3,1,4,2,8,5,7]=>1101010=>[1,1,2,2,2] [3,1,6,4,2,8,5,7]=>1011010=>[1,2,1,2,2] [2,6,3,8,7,1,5,4]=>0101101=>[2,2,1,2,1] [2,6,3,8,5,1,4,7]=>0101100=>[2,2,1,3] [2,5,1,8,3,4,7,6]=>0101001=>[2,2,3,1] [2,5,1,3,8,4,7,6]=>0100101=>[2,3,2,1] [1,2,5,3,8,4,7,6]=>0010101=>[3,2,2,1] [1,2,4,8,3,7,6,5]=>0001011=>[4,2,1,1] [2,4,8,1,3,7,6,5]=>0010011=>[3,3,1,1] [2,4,8,3,7,1,6,5]=>0010101=>[3,2,2,1] [2,4,8,3,7,6,1,5]=>0010110=>[3,2,1,2] [2,5,3,8,1,7,4,6]=>0101010=>[2,2,2,2] [2,5,4,1,3,8,7,6]=>0110011=>[2,1,3,1,1] [3,1,5,4,8,2,7,6]=>1010101=>[1,2,2,2,1] [5,3,1,4,8,2,7,6]=>1100101=>[1,1,3,2,1] [5,2,3,8,4,7,1,6]=>1001010=>[1,3,2,2] [4,8,2,3,7,6,1,5]=>0100110=>[2,3,1,2] [4,8,2,3,7,1,6,5]=>0100101=>[2,3,2,1] [4,8,1,2,3,7,6,5]=>0100011=>[2,4,1,1] [1,4,8,2,3,7,6,5]=>0010011=>[3,3,1,1] [1,4,8,3,7,2,6,5]=>0010101=>[3,2,2,1] [6,3,8,1,5,2,4,7]=>1010100=>[1,2,2,3] [5,3,8,1,2,4,7,6]=>1010001=>[1,2,4,1] [5,1,3,8,2,4,7,6]=>1001001=>[1,3,3,1] [1,5,3,8,2,4,7,6]=>0101001=>[2,2,3,1] [1,5,4,8,2,7,6,3]=>0101011=>[2,2,2,1,1] [5,1,4,8,2,7,6,3]=>1001011=>[1,3,2,1,1] [5,4,8,1,2,7,6,3]=>1010011=>[1,2,3,1,1] [6,5,1,2,8,7,4,3]=>1100111=>[1,1,3,1,1,1] [5,3,1,6,4,2,8,7]=>1101101=>[1,1,2,1,2,1] [5,1,6,2,8,7,4,3]=>1010111=>[1,2,2,1,1,1] [4,1,5,8,2,7,6,3]=>1001011=>[1,3,2,1,1] [4,1,2,5,8,7,6,3]=>1000111=>[1,4,1,1,1] [1,4,2,5,8,7,6,3]=>0100111=>[2,3,1,1,1] [1,3,5,2,8,7,4,6]=>0010110=>[3,2,1,2] [3,5,1,2,8,7,4,6]=>0100110=>[2,3,1,2] [3,6,2,8,7,5,1,4]=>0101110=>[2,2,1,1,2] [4,2,6,1,8,7,3,5]=>1010110=>[1,2,2,1,2] [4,3,1,5,8,2,7,6]=>1100101=>[1,1,3,2,1] [3,5,2,8,7,1,4,6]=>0101100=>[2,2,1,3] [3,4,8,7,2,6,1,5]=>0011010=>[3,1,2,2] [3,4,8,7,1,2,6,5]=>0011001=>[3,1,3,1] [3,4,8,1,7,2,6,5]=>0010101=>[3,2,2,1] [1,3,4,8,7,2,6,5]=>0001101=>[4,1,2,1] [1,3,4,8,2,7,6,5]=>0001011=>[4,2,1,1] [3,4,8,1,2,7,6,5]=>0010011=>[3,3,1,1] [3,4,8,2,7,1,6,5]=>0010101=>[3,2,2,1] [3,4,8,2,7,6,1,5]=>0010110=>[3,2,1,2] [4,2,5,8,1,7,6,3]=>1001011=>[1,3,2,1,1] [4,3,1,2,5,8,7,6]=>1100011=>[1,1,4,1,1] [3,1,4,2,5,8,7,6]=>1010011=>[1,2,3,1,1] [2,3,5,1,8,7,6,4]=>0010111=>[3,2,1,1,1] [7,8,2,1,5,3,6,4]=>0110101=>[2,1,2,2,1] [6,4,1,2,7,3,5,8]=>1100100=>[1,1,3,3] [2,3,7,5,4,1,8,6]=>0011101=>[3,1,1,2,1] [6,3,1,5,4,2,7,8]=>1101100=>[1,1,2,1,3] [7,8,1,5,4,2,6,3]=>0101101=>[2,2,1,2,1] [7,8,3,5,4,1,6,2]=>0101101=>[2,2,1,2,1] [7,8,2,5,4,1,3,6]=>0101100=>[2,2,1,3] [7,8,2,5,4,6,1,3]=>0101010=>[2,2,2,2] [6,2,1,5,4,7,3,8]=>1101010=>[1,1,2,2,2] [5,3,6,1,4,7,8,2]=>1010001=>[1,2,4,1] [5,3,6,2,4,7,1,8]=>1010010=>[1,2,3,2] [6,4,2,1,7,3,8,5]=>1110101=>[1,1,1,2,2,1] [4,3,7,5,8,6,1,2]=>1010110=>[1,2,2,1,2] [4,2,7,1,8,3,6,5]=>1010101=>[1,2,2,2,1] [3,2,6,7,4,8,1,5]=>1001010=>[1,3,2,2] [3,1,6,7,4,8,5,2]=>1001011=>[1,3,2,1,1] [1,7,6,5,3,8,4,2]=>0111011=>[2,1,1,2,1,1] [2,7,6,5,3,8,1,4]=>0111010=>[2,1,1,2,2] [1,7,6,5,2,4,8,3]=>0111001=>[2,1,1,3,1] [2,7,6,5,3,1,4,8]=>0111100=>[2,1,1,1,3] [2,7,1,4,8,3,5,6]=>0100100=>[2,3,3] [3,7,6,4,8,5,1,2]=>0110110=>[2,1,2,1,2] [5,7,6,3,8,4,1,2]=>0110110=>[2,1,2,1,2] [5,1,6,2,4,8,3,7]=>1010010=>[1,2,3,2] [4,7,6,5,2,1,3,8]=>0111100=>[2,1,1,1,3] [4,7,6,5,2,8,1,3]=>0111010=>[2,1,1,2,2] [4,7,6,5,1,8,3,2]=>0111011=>[2,1,1,2,1,1] [1,7,6,5,2,8,3,4]=>0111010=>[2,1,1,2,2] [1,7,6,5,3,2,8,4]=>0111101=>[2,1,1,1,2,1] [4,7,6,5,1,2,8,3]=>0111001=>[2,1,1,3,1] [4,7,6,5,3,1,8,2]=>0111101=>[2,1,1,1,2,1] [6,1,3,5,4,8,7,2]=>1001011=>[1,3,2,1,1] [5,2,6,3,4,1,7,8]=>1010100=>[1,2,2,3] [5,1,6,2,4,7,8,3]=>1010001=>[1,2,4,1] [1,2,6,3,4,8,7,5]=>0010011=>[3,3,1,1] [1,7,2,4,8,3,6,5]=>0100101=>[2,3,2,1] [6,1,4,2,8,3,5,7]=>1010100=>[1,2,2,3] [4,1,8,2,6,3,5,7]=>1010100=>[1,2,2,3] [4,7,2,1,5,3,6,8]=>0110100=>[2,1,2,3] [4,7,1,6,2,3,8,5]=>0101001=>[2,2,3,1] [1,7,2,6,8,3,5,4]=>0100101=>[2,3,2,1] [1,2,6,7,4,8,5,3]=>0001011=>[4,2,1,1] [3,1,6,7,4,2,8,5]=>1001101=>[1,3,1,2,1] [3,2,8,5,4,6,1,7]=>1011010=>[1,2,1,2,2] [4,7,6,3,5,8,1,2]=>0110010=>[2,1,3,2] [4,7,1,2,5,3,8,6]=>0100101=>[2,3,2,1] [3,7,6,5,2,4,1,8]=>0111010=>[2,1,1,2,2] [3,7,6,5,1,4,8,2]=>0111001=>[2,1,1,3,1] [3,7,6,5,2,1,8,4]=>0111101=>[2,1,1,1,2,1] [1,7,6,5,8,2,4,3]=>0110101=>[2,1,2,2,1] [3,7,6,5,8,1,4,2]=>0110101=>[2,1,2,2,1] [3,7,6,5,1,2,4,8]=>0111000=>[2,1,1,4] [3,1,6,8,4,2,5,7]=>1001100=>[1,3,1,3] [4,7,6,8,3,5,1,2]=>0101010=>[2,2,2,2] [2,7,6,5,1,4,3,8]=>0111010=>[2,1,1,2,2] [2,7,6,5,8,1,3,4]=>0110100=>[2,1,2,3] [2,7,6,5,8,4,1,3]=>0110110=>[2,1,2,1,2] [6,3,2,1,7,4,8,5]=>1110101=>[1,1,1,2,2,1] [4,2,1,7,3,5,8,6]=>1101001=>[1,1,2,3,1] [7,3,1,5,4,2,8,6]=>1101101=>[1,1,2,1,2,1] [8,4,1,5,2,7,6,3]=>1101011=>[1,1,2,2,1,1] [8,2,5,1,3,7,6,4]=>1010011=>[1,2,3,1,1] [4,3,7,2,1,5,8,6]=>1011001=>[1,2,1,3,1] [4,7,2,5,3,1,8,6]=>0101101=>[2,2,1,2,1] [2,7,5,4,1,3,8,6]=>0111001=>[2,1,1,3,1] [7,5,4,3,2,1,8,6]=>1111101=>[1,1,1,1,1,2,1] [6,5,2,1,8,4,3,7]=>1110110=>[1,1,1,2,1,2] [4,6,3,2,8,1,5,7]=>0110100=>[2,1,2,3] [5,7,4,3,2,8,1,6]=>0111010=>[2,1,1,2,2] [1,7,6,2,4,8,3,5]=>0110010=>[2,1,3,2] [2,7,3,6,4,8,1,5]=>0101010=>[2,2,2,2] [6,2,7,5,3,8,1,4]=>1011010=>[1,2,1,2,2] [7,1,8,5,3,6,4,2]=>1011011=>[1,2,1,2,1,1] [5,8,3,2,7,1,6,4]=>0110101=>[2,1,2,2,1] [8,7,3,1,6,5,4,2]=>1110111=>[1,1,1,2,1,1,1] [8,7,2,6,1,5,4,3]=>1101011=>[1,1,2,2,1,1] [1,8,5,7,4,3,6,2]=>0101101=>[2,2,1,2,1] [1,8,5,7,2,4,6,3]=>0101001=>[2,2,3,1] [3,8,6,1,7,2,5,4]=>0110101=>[2,1,2,2,1] [7,2,8,5,6,1,4,3]=>1010101=>[1,2,2,2,1] [6,3,7,5,8,2,1,4]=>1010110=>[1,2,2,1,2] [3,7,2,6,8,4,1,5]=>0100110=>[2,3,1,2] [3,6,5,8,1,4,2,7]=>0101010=>[2,2,2,2] [2,6,5,8,4,1,3,7]=>0101100=>[2,2,1,3] [6,5,4,8,3,2,1,7]=>1101110=>[1,1,2,1,1,2] [8,4,3,7,2,1,6,5]=>1101101=>[1,1,2,1,2,1] [8,2,4,7,1,3,6,5]=>1001001=>[1,3,3,1] [6,2,5,8,1,4,3,7]=>1001010=>[1,3,2,2] [4,3,6,8,2,1,5,7]=>1001100=>[1,3,1,3] [6,3,5,1,8,4,2,7]=>1010110=>[1,2,2,1,2] [8,4,1,5,7,3,6,2]=>1100101=>[1,1,3,2,1] [6,4,2,5,8,3,1,7]=>1100110=>[1,1,3,1,2] [5,4,1,6,8,2,3,7]=>1100100=>[1,1,3,3] [6,3,7,4,8,5,2,1]=>1010111=>[1,2,2,1,1,1] [4,7,2,5,8,6,3,1]=>0100111=>[2,3,1,1,1] [6,3,1,8,4,7,5,2]=>1101011=>[1,1,2,2,1,1] [6,5,3,8,7,4,1,2]=>1101110=>[1,1,2,1,1,2] [5,4,8,1,7,6,2,3]=>1010110=>[1,2,2,1,2] [5,2,8,1,7,3,6,4]=>1010101=>[1,2,2,2,1] [5,7,3,8,1,6,4,2]=>0101011=>[2,2,2,1,1] [6,4,7,8,1,5,3,2]=>1001011=>[1,3,2,1,1] [2,5,8,7,1,3,6,4]=>0011001=>[3,1,3,1] [5,3,8,7,2,1,6,4]=>1011101=>[1,2,1,1,2,1] [8,3,7,6,1,5,4,2]=>1011011=>[1,2,1,2,1,1] [8,2,7,6,5,1,4,3]=>1011101=>[1,2,1,1,2,1] [4,3,8,7,6,2,1,5]=>1011110=>[1,2,1,1,1,2] [2,4,8,7,6,1,3,5]=>0011100=>[3,1,1,3] [3,5,8,7,2,6,1,4]=>0011010=>[3,1,2,2] [4,7,3,8,6,5,1,2]=>0101110=>[2,2,1,1,2] [7,5,8,6,4,3,2,1]=>1011111=>[1,2,1,1,1,1,1] [5,8,7,3,6,4,2,1]=>0110111=>[2,1,2,1,1,1] [4,8,7,6,2,5,3,1]=>0111011=>[2,1,1,2,1,1] [3,8,7,6,5,1,4,2]=>0111101=>[2,1,1,1,2,1] [2,8,7,6,5,4,1,3]=>0111110=>[2,1,1,1,1,2] [3,4,1,2,5,6,7,8,9]=>01000000=>[2,7] [3,2,1,4,5,6,7,8,9]=>11000000=>[1,1,7] [4,5,6,1,2,3,7,8,9]=>00100000=>[3,6] [4,2,5,1,3,6,7,8,9]=>10100000=>[1,2,6] [4,3,2,1,5,6,7,8,9]=>11100000=>[1,1,1,6] [5,6,7,8,1,2,3,4,9]=>00010000=>[4,5] [5,2,6,7,1,3,4,8,9]=>10010000=>[1,3,5] [5,6,3,4,1,2,7,8,9]=>01010000=>[2,2,5] [5,3,2,6,1,4,7,8,9]=>11010000=>[1,1,2,5] [5,4,3,2,1,6,7,8,9]=>11110000=>[1,1,1,1,5] [6,2,7,8,9,1,3,4,5]=>10001000=>[1,4,4] [6,7,3,4,8,1,2,5,9]=>01001000=>[2,3,4] [6,3,2,7,8,1,4,5,9]=>11001000=>[1,1,3,4] [6,4,7,2,5,1,3,8,9]=>10101000=>[1,2,2,4] [6,4,3,2,7,1,5,8,9]=>11101000=>[1,1,1,2,4] [6,5,4,3,2,1,7,8,9]=>11111000=>[1,1,1,1,1,4] [7,4,8,2,5,9,1,3,6]=>10100100=>[1,2,3,3] [7,4,3,2,8,9,1,5,6]=>11100100=>[1,1,1,3,3] [7,8,5,6,3,4,1,2,9]=>01010100=>[2,2,2,3] [7,5,3,8,2,6,1,4,9]=>11010100=>[1,1,2,2,3] [7,5,4,3,2,8,1,6,9]=>11110100=>[1,1,1,1,2,3] [7,6,5,4,3,2,1,8,9]=>11111100=>[1,1,1,1,1,1,3] [8,6,9,4,7,2,5,1,3]=>10101010=>[1,2,2,2,2] [8,6,4,3,9,2,7,1,5]=>11101010=>[1,1,1,2,2,2] [8,6,5,4,3,2,9,1,7]=>11111010=>[1,1,1,1,1,2,2] [3,4,1,2,5,6,7,8,9,10]=>010000000=>[2,8] [3,2,1,4,5,6,7,8,9,10]=>110000000=>[1,1,8] [4,5,6,1,2,3,7,8,9,10]=>001000000=>[3,7] [4,2,5,1,3,6,7,8,9,10]=>101000000=>[1,2,7] [4,3,2,1,5,6,7,8,9,10]=>111000000=>[1,1,1,7] [5,6,7,8,1,2,3,4,9,10]=>000100000=>[4,6] [5,2,6,7,1,3,4,8,9,10]=>100100000=>[1,3,6] [5,6,3,4,1,2,7,8,9,10]=>010100000=>[2,2,6] [5,3,2,6,1,4,7,8,9,10]=>110100000=>[1,1,2,6] [5,4,3,2,1,6,7,8,9,10]=>111100000=>[1,1,1,1,6] [6,2,7,8,9,1,3,4,5,10]=>100010000=>[1,4,5] [6,7,3,4,8,1,2,5,9,10]=>010010000=>[2,3,5] [6,3,2,7,8,1,4,5,9,10]=>110010000=>[1,1,3,5] [6,4,7,2,5,1,3,8,9,10]=>101010000=>[1,2,2,5] [6,4,3,2,7,1,5,8,9,10]=>111010000=>[1,1,1,2,5] [6,5,4,3,2,1,7,8,9,10]=>111110000=>[1,1,1,1,1,5] [7,8,3,4,9,10,1,2,5,6]=>010001000=>[2,4,4] [7,8,9,4,5,6,1,2,3,10]=>001001000=>[3,3,4] [7,4,3,2,8,9,1,5,6,10]=>111001000=>[1,1,1,3,4] [7,8,5,6,3,4,1,2,9,10]=>010101000=>[2,2,2,4] [7,5,3,8,2,6,1,4,9,10]=>110101000=>[1,1,2,2,4] [7,5,4,3,2,8,1,6,9,10]=>111101000=>[1,1,1,1,2,4] [7,6,5,4,3,2,1,8,9,10]=>111111000=>[1,1,1,1,1,1,4] [8,5,9,10,2,6,7,1,3,4]=>100100100=>[1,3,3,3] [8,5,3,9,2,6,10,1,4,7]=>110100100=>[1,1,2,3,3] [8,6,9,4,7,2,5,1,3,10]=>101010100=>[1,2,2,2,3] [8,6,4,3,9,2,7,1,5,10]=>111010100=>[1,1,1,2,2,3] [8,6,5,4,3,2,9,1,7,10]=>111110100=>[1,1,1,1,1,2,3] [8,7,6,5,4,3,2,1,9,10]=>111111100=>[1,1,1,1,1,1,1,3] [9,7,5,4,3,10,2,8,1,6]=>111101010=>[1,1,1,1,2,2,2] [3,6,5,1,2,4,8,7]=>0110001=>[2,1,4,1] [3,7,5,8,2,4,1,6]=>0101010=>[2,2,2,2] [3,8,5,7,2,4,1,6]=>0101010=>[2,2,2,2] [5,1,7,8,4,3,2,6]=>1001110=>[1,3,1,1,2] [5,1,2,6,4,3,8,7]=>1001101=>[1,3,1,2,1] [6,1,2,5,4,3,8,7]=>1001101=>[1,3,1,2,1] [5,1,2,4,6,3,8,7]=>1000101=>[1,4,2,1] [4,1,2,6,5,3,8,7]=>1001101=>[1,3,1,2,1] [4,1,5,7,8,3,2,6]=>1000110=>[1,4,1,2] [4,1,5,8,7,3,2,6]=>1001110=>[1,3,1,1,2] [4,7,1,8,3,6,2,5]=>0101010=>[2,2,2,2] [4,1,7,8,5,2,3,6]=>1001100=>[1,3,1,3] [5,1,7,4,8,2,3,6]=>1010100=>[1,2,2,3] [7,5,3,8,1,4,2,6]=>1101010=>[1,1,2,2,2] [2,1,5,8,7,3,4,6]=>1001100=>[1,3,1,3] [5,1,8,4,7,2,3,6]=>1010100=>[1,2,2,3] [4,1,8,7,5,2,3,6]=>1011100=>[1,2,1,1,3] [4,7,1,6,3,2,8,5]=>0101101=>[2,2,1,2,1] [6,1,2,3,7,5,8,4]=>1000101=>[1,4,2,1] [7,1,2,3,8,6,5,4]=>1000111=>[1,4,1,1,1] [7,1,2,3,5,8,6,4]=>1000011=>[1,5,1,1] [6,8,1,4,3,7,2,5]=>0101010=>[2,2,2,2] [8,7,3,2,4,1,6,5]=>1110101=>[1,1,1,2,2,1] [2,1,7,3,4,8,6,5]=>1010011=>[1,2,3,1,1] [7,8,3,2,4,1,6,5]=>0110101=>[2,1,2,2,1] [6,7,1,4,3,8,2,5]=>0101010=>[2,2,2,2] [8,1,2,3,5,7,6,4]=>1000011=>[1,5,1,1] [8,1,2,3,6,7,5,4]=>1000011=>[1,5,1,1] [7,1,2,3,6,8,5,4]=>1000011=>[1,5,1,1] [7,1,2,3,8,5,6,4]=>1000101=>[1,4,2,1] [8,1,2,3,7,5,6,4]=>1000101=>[1,4,2,1] [8,1,2,3,6,5,7,4]=>1000101=>[1,4,2,1] [7,1,8,5,4,3,2,6]=>1011110=>[1,2,1,1,1,2] [7,8,2,6,3,4,1,5]=>0101010=>[2,2,2,2] [6,8,2,7,3,4,1,5]=>0101010=>[2,2,2,2] [6,7,2,8,3,4,1,5]=>0101010=>[2,2,2,2] [3,8,7,1,4,2,6,5]=>0110101=>[2,1,2,2,1] [3,7,8,1,4,2,6,5]=>0010101=>[3,2,2,1] [3,6,8,1,4,2,7,5]=>0010101=>[3,2,2,1] [3,5,7,8,2,4,1,6]=>0001010=>[4,2,2] [3,6,7,1,4,2,8,5]=>0010101=>[3,2,2,1] [7,6,2,8,3,1,4,5]=>1101100=>[1,1,2,1,3] [8,6,2,7,3,1,4,5]=>1101100=>[1,1,2,1,3] [8,1,7,5,4,3,2,6]=>1011110=>[1,2,1,1,1,2] [8,1,7,4,5,3,2,6]=>1010110=>[1,2,2,1,2] [5,8,3,7,1,4,2,6]=>0101010=>[2,2,2,2] [2,1,7,3,4,6,8,5]=>1010001=>[1,2,4,1] [6,7,3,2,4,1,8,5]=>0110101=>[2,1,2,2,1] [8,7,2,4,3,6,1,5]=>1101010=>[1,1,2,2,2] [7,1,2,3,5,6,8,4]=>1000001=>[1,6,1] [6,1,2,3,8,7,4,5]=>1000110=>[1,4,1,2] [5,1,2,3,7,8,6,4]=>1000011=>[1,5,1,1] [5,1,2,3,8,7,6,4]=>1000111=>[1,4,1,1,1] [5,1,2,3,8,6,7,4]=>1000101=>[1,4,2,1] [6,1,2,3,5,8,7,4]=>1000011=>[1,5,1,1] [8,6,2,4,3,1,7,5]=>1101101=>[1,1,2,1,2,1] [7,6,3,2,4,8,1,5]=>1110010=>[1,1,1,3,2] [2,1,6,3,4,8,7,5]=>1010011=>[1,2,3,1,1] [8,6,3,2,4,7,1,5]=>1110010=>[1,1,1,3,2] [7,6,2,4,3,1,8,5]=>1101101=>[1,1,2,1,2,1] [6,1,2,3,5,7,8,4]=>1000001=>[1,6,1] [5,1,2,3,6,8,7,4]=>1000011=>[1,5,1,1] [7,8,1,2,6,3,5,4]=>0100101=>[2,3,2,1] [1,4,8,2,7,3,5,6]=>0010100=>[3,2,3] [1,2,8,5,4,7,3,6]=>0011010=>[3,1,2,2] [1,3,8,5,4,2,7,6]=>0011101=>[3,1,1,2,1] [2,3,6,8,4,7,1,5]=>0001010=>[4,2,2] [1,3,6,8,4,7,5,2]=>0001011=>[4,2,1,1] [2,4,8,1,7,3,6,5]=>0010101=>[3,2,2,1] [3,4,8,5,7,6,1,2]=>0010110=>[3,2,1,2] [1,2,6,8,4,5,7,3]=>0001001=>[4,3,1] [7,5,1,2,4,3,6,8]=>1100100=>[1,1,3,3] [7,4,6,1,5,2,3,8]=>1010100=>[1,2,2,3] [7,1,4,2,6,3,5,8]=>1010100=>[1,2,2,3] [6,8,1,4,7,2,3,5]=>0100100=>[2,3,3] [1,6,4,2,8,3,5,7]=>0110100=>[2,1,2,3] [1,6,3,8,5,4,2,7]=>0101110=>[2,2,1,1,2] [6,8,1,7,3,5,4,2]=>0101011=>[2,2,2,1,1] [7,1,3,6,5,4,2,8]=>1001110=>[1,3,1,1,2] [7,3,1,6,5,4,2,8]=>1101110=>[1,1,2,1,1,2] [7,2,1,4,6,3,5,8]=>1100100=>[1,1,3,3] [7,2,3,6,5,1,4,8]=>1001100=>[1,3,1,3] [7,1,2,3,6,5,4,8]=>1000110=>[1,4,1,2] [6,8,1,2,7,3,5,4]=>0100101=>[2,3,2,1] [1,6,2,3,8,5,4,7]=>0100110=>[2,3,1,2] [1,5,8,2,7,6,3,4]=>0010110=>[3,2,1,2] [5,1,8,2,7,6,3,4]=>1010110=>[1,2,2,1,2] [5,8,2,7,6,3,4,1]=>0101101=>[2,2,1,2,1] [6,2,8,1,7,3,5,4]=>1010101=>[1,2,2,2,1] [6,8,2,1,7,4,3,5]=>0110110=>[2,1,2,1,2] [3,6,4,1,2,8,5,7]=>0110010=>[2,1,3,2] [2,1,6,3,8,5,4,7]=>1010110=>[1,2,2,1,2] [2,5,1,8,7,6,3,4]=>0101110=>[2,2,1,1,2] [2,5,3,8,7,4,6,1]=>0101101=>[2,2,1,2,1] [1,2,5,3,8,7,4,6]=>0010110=>[3,2,1,2] [2,4,8,7,6,5,1,3]=>0011110=>[3,1,1,1,2] [2,5,3,8,7,1,6,4]=>0101101=>[2,2,1,2,1] [2,5,8,4,1,7,6,3]=>0011011=>[3,1,2,1,1] [3,5,8,7,1,4,2,6]=>0011010=>[3,1,2,2] [5,3,8,4,1,7,6,2]=>1011011=>[1,2,1,2,1,1] [4,2,8,7,6,3,5,1]=>1011101=>[1,2,1,1,2,1] [4,2,8,7,6,5,3,1]=>1011111=>[1,2,1,1,1,1,1] [4,1,8,7,6,5,3,2]=>1011111=>[1,2,1,1,1,1,1] [4,3,8,7,6,5,1,2]=>1011110=>[1,2,1,1,1,2] [6,3,1,8,7,2,5,4]=>1101101=>[1,1,2,1,2,1] [5,8,3,7,6,1,4,2]=>0101101=>[2,2,1,2,1] [5,1,3,8,7,6,2,4]=>1001110=>[1,3,1,1,2] [1,5,3,8,7,6,2,4]=>0101110=>[2,2,1,1,2] [1,5,8,4,7,2,6,3]=>0010101=>[3,2,2,1] [5,1,8,4,7,2,6,3]=>1010101=>[1,2,2,2,1] [5,8,7,4,6,1,2,3]=>0110100=>[2,1,2,3] [6,8,5,1,2,4,7,3]=>0110001=>[2,1,4,1] [5,6,3,1,2,4,8,7]=>0110001=>[2,1,4,1] [5,6,2,4,3,1,8,7]=>0101101=>[2,2,1,2,1] [5,6,1,2,4,3,8,7]=>0100101=>[2,3,2,1] [4,5,8,1,7,2,3,6]=>0010100=>[3,2,3] [4,5,8,1,7,2,6,3]=>0010101=>[3,2,2,1] [1,3,2,5,8,7,4,6]=>0100110=>[2,3,1,2] [3,5,1,8,7,4,6,2]=>0101101=>[2,2,1,2,1] [3,5,1,8,7,2,6,4]=>0101101=>[2,2,1,2,1] [4,3,6,1,2,8,5,7]=>1010010=>[1,2,3,2] [4,5,8,3,1,7,2,6]=>0011010=>[3,1,2,2] [4,5,2,8,7,1,3,6]=>0101100=>[2,2,1,3] [3,2,5,8,7,1,6,4]=>1001101=>[1,3,1,2,1] [3,4,8,7,6,2,1,5]=>0011110=>[3,1,1,1,2] [3,1,4,8,7,6,2,5]=>1001110=>[1,3,1,1,2] [3,4,8,7,6,5,1,2]=>0011110=>[3,1,1,1,2] [1,3,4,8,7,6,2,5]=>0001110=>[4,1,1,2] [3,4,8,7,6,2,5,1]=>0011101=>[3,1,1,2,1] [3,2,5,8,7,4,6,1]=>1001101=>[1,3,1,2,1] [4,5,8,3,1,7,6,2]=>0011011=>[3,1,2,1,1] [2,1,3,5,8,7,4,6]=>1000110=>[1,4,1,2] [1,2,7,5,8,6,4,3]=>0010111=>[3,2,1,1,1] [7,1,4,8,2,6,5,3]=>1001011=>[1,3,2,1,1] [6,8,1,3,7,5,2,4]=>0100110=>[2,3,1,2] [3,7,8,1,2,6,5,4]=>0010011=>[3,3,1,1] [1,3,7,8,2,6,5,4]=>0001011=>[4,2,1,1] [2,3,7,8,1,6,5,4]=>0001011=>[4,2,1,1] [2,7,8,1,3,6,5,4]=>0010011=>[3,3,1,1] [8,1,2,6,7,3,5,4]=>1000101=>[1,4,2,1] [8,1,2,6,7,5,3,4]=>1000110=>[1,4,1,2] [8,2,5,7,1,3,6,4]=>1001001=>[1,3,3,1] [2,8,1,6,7,3,5,4]=>0100101=>[2,3,2,1] [2,6,8,3,7,1,5,4]=>0010101=>[3,2,2,1] [2,8,6,4,7,1,5,3]=>0110101=>[2,1,2,2,1] [6,8,3,4,1,7,5,2]=>0101011=>[2,2,2,1,1] [6,8,3,7,4,1,5,2]=>0101101=>[2,2,1,2,1] [2,6,8,3,7,5,1,4]=>0010110=>[3,2,1,2] [2,8,1,6,7,5,3,4]=>0100110=>[2,3,1,2] [8,2,5,7,1,6,3,4]=>1001010=>[1,3,2,2] [8,4,7,2,3,6,1,5]=>1010010=>[1,2,3,2] [8,5,7,4,2,6,1,3]=>1011010=>[1,2,1,2,2] [8,3,5,7,4,1,6,2]=>1001101=>[1,3,1,2,1] [8,5,2,4,7,1,6,3]=>1100101=>[1,1,3,2,1] [8,2,3,5,7,1,6,4]=>1000101=>[1,4,2,1] [8,2,4,7,3,6,1,5]=>1001010=>[1,3,2,2] [8,2,7,1,4,6,3,5]=>1010010=>[1,2,3,2] [8,7,1,2,4,6,3,5]=>1100010=>[1,1,4,2] [8,7,1,4,6,2,3,5]=>1100100=>[1,1,3,3] [8,4,7,1,3,6,2,5]=>1010010=>[1,2,3,2] [1,6,8,3,7,2,5,4]=>0010101=>[3,2,2,1] [8,3,5,7,1,2,6,4]=>1001001=>[1,3,3,1] [5,8,7,1,3,6,2,4]=>0110010=>[2,1,3,2] [8,5,4,7,1,6,2,3]=>1101010=>[1,1,2,2,2] [8,5,4,7,1,2,6,3]=>1101001=>[1,1,2,3,1] [8,5,1,4,7,2,6,3]=>1100101=>[1,1,3,2,1] [1,4,6,8,2,7,5,3]=>0001011=>[4,2,1,1] [1,6,5,8,2,7,4,3]=>0101011=>[2,2,2,1,1] [8,5,6,3,1,7,4,2]=>1011011=>[1,2,1,2,1,1] [5,6,2,8,1,7,4,3]=>0101011=>[2,2,2,1,1] [1,8,4,5,7,2,6,3]=>0100101=>[2,3,2,1] [5,8,7,3,6,1,2,4]=>0110100=>[2,1,2,3] [8,3,5,7,1,6,2,4]=>1001010=>[1,3,2,2] [1,6,8,3,7,5,2,4]=>0010110=>[3,2,1,2] [6,3,8,2,7,5,1,4]=>1010110=>[1,2,2,1,2] [6,8,4,2,7,1,5,3]=>0110101=>[2,1,2,2,1] [8,6,4,7,3,1,5,2]=>1101101=>[1,1,2,1,2,1] [8,4,5,7,3,1,6,2]=>1001101=>[1,3,1,2,1] [8,4,2,5,7,1,6,3]=>1100101=>[1,1,3,2,1] [8,3,4,7,2,6,1,5]=>1001010=>[1,3,2,2] [8,7,1,3,4,6,2,5]=>1100010=>[1,1,4,2] [8,3,7,2,4,6,1,5]=>1010010=>[1,2,3,2] [2,8,4,5,7,1,6,3]=>0100101=>[2,3,2,1] [8,7,3,4,5,1,6,2]=>1100101=>[1,1,3,2,1] [8,7,4,5,2,6,1,3]=>1101010=>[1,1,2,2,2] [5,8,7,2,3,6,1,4]=>0110010=>[2,1,3,2] [8,7,2,3,4,6,1,5]=>1100010=>[1,1,4,2] [8,7,2,3,6,1,4,5]=>1100100=>[1,1,3,3] [1,3,2,8,5,4,7,6]=>0101101=>[2,2,1,2,1] [4,2,8,5,3,7,1,6]=>1011010=>[1,2,1,2,2] [5,2,1,8,4,3,7,6]=>1101101=>[1,1,2,1,2,1] [6,2,8,4,3,7,5,1]=>1011011=>[1,2,1,2,1,1] [7,2,8,4,3,1,6,5]=>1011101=>[1,2,1,1,2,1] [7,3,4,8,2,1,6,5]=>1001101=>[1,3,1,2,1] [6,3,4,8,2,7,5,1]=>1001011=>[1,3,2,1,1] [5,3,4,1,8,2,7,6]=>1010101=>[1,2,2,2,1] [8,1,4,5,2,3,7,6]=>1001001=>[1,3,3,1] [8,1,5,4,3,2,7,6]=>1011101=>[1,2,1,1,2,1] [3,5,4,2,8,1,7,6]=>0110101=>[2,1,2,2,1] [4,5,3,2,8,7,1,6]=>0110110=>[2,1,2,1,2] [6,4,3,2,8,7,5,1]=>1110111=>[1,1,1,2,1,1,1] [6,5,3,2,1,7,8,4]=>1111001=>[1,1,1,1,3,1] [5,6,3,2,7,8,4,1]=>0110011=>[2,1,3,1,1] [4,1,6,3,2,7,8,5]=>1011001=>[1,2,1,3,1] [3,6,4,2,7,8,1,5]=>0110010=>[2,1,3,2] [8,1,6,4,3,7,2,5]=>1011010=>[1,2,1,2,2] [8,1,7,4,3,6,5,2]=>1011011=>[1,2,1,2,1,1] [2,7,4,1,3,6,5,8]=>0110010=>[2,1,3,2] [3,7,4,2,6,1,5,8]=>0110100=>[2,1,2,3] [4,1,7,3,2,6,5,8]=>1011010=>[1,2,1,2,2] [5,7,3,2,6,4,8,1]=>0110101=>[2,1,2,2,1] [6,7,3,2,5,4,1,8]=>0110110=>[2,1,2,1,2] [7,6,3,2,1,5,4,8]=>1111010=>[1,1,1,1,2,2] [4,7,5,6,2,3,8,1]=>0101001=>[2,2,3,1] [3,1,7,5,6,2,4,8]=>1010100=>[1,2,2,3] [2,7,5,6,1,3,4,8]=>0101000=>[2,2,4] [2,6,5,7,1,3,8,4]=>0101001=>[2,2,3,1] [4,6,5,7,2,8,1,3]=>0101010=>[2,2,2,2] [5,6,4,7,2,8,3,1]=>0101011=>[2,2,2,1,1] [6,5,4,1,7,2,8,3]=>1110101=>[1,1,1,2,2,1] [7,5,4,6,2,1,8,3]=>1101101=>[1,1,2,1,2,1] [6,4,5,7,1,8,2,3]=>1001010=>[1,3,2,2] [5,4,6,1,7,8,2,3]=>1010010=>[1,2,3,2] [8,1,5,6,7,2,3,4]=>1000100=>[1,4,3] [2,1,4,6,8,7,3,5]=>1000110=>[1,4,1,2] [3,4,6,8,7,1,2,5]=>0001100=>[4,1,3] [4,3,1,6,8,7,2,5]=>1100110=>[1,1,3,1,2] [5,3,6,8,7,2,4,1]=>1001101=>[1,3,1,2,1] [6,3,5,1,8,7,2,4]=>1010110=>[1,2,2,1,2] [7,3,5,8,6,2,1,4]=>1001110=>[1,3,1,1,2] [7,2,8,5,6,3,1,4]=>1010110=>[1,2,2,1,2] [6,2,8,5,1,7,3,4]=>1011010=>[1,2,1,2,2] [4,2,1,8,6,7,3,5]=>1101010=>[1,1,2,2,2] [1,3,2,8,6,7,4,5]=>0101010=>[2,2,2,2] [2,3,8,6,7,1,4,5]=>0010100=>[3,2,3] [8,1,3,2,6,7,4,5]=>1010010=>[1,2,3,2] [2,3,8,7,1,6,5,4]=>0011011=>[3,1,2,1,1] [4,2,8,7,6,1,5,3]=>1011101=>[1,2,1,1,2,1] [5,2,8,7,6,4,1,3]=>1011110=>[1,2,1,1,1,2] [7,2,1,8,6,5,4,3]=>1101111=>[1,1,2,1,1,1,1] [7,3,6,1,8,5,4,2]=>1010111=>[1,2,2,1,1,1] [6,3,7,8,5,4,2,1]=>1001111=>[1,3,1,1,1,1] [5,3,7,8,6,4,1,2]=>1001110=>[1,3,1,1,2] [4,3,1,7,8,6,5,2]=>1100111=>[1,1,3,1,1,1] [3,4,7,8,6,1,5,2]=>0001101=>[4,1,2,1] [8,1,5,7,6,2,4,3]=>1001101=>[1,3,1,2,1] [3,5,7,6,8,1,4,2]=>0010101=>[3,2,2,1] [4,5,7,6,8,3,1,2]=>0010110=>[3,2,1,2] [5,4,1,7,6,8,3,2]=>1101011=>[1,1,2,2,1,1] [6,4,7,5,8,3,2,1]=>1010111=>[1,2,2,1,1,1] [7,4,6,5,1,8,3,2]=>1011011=>[1,2,1,2,1,1] [7,5,6,4,3,1,8,2]=>1011101=>[1,2,1,1,2,1] [6,5,1,7,4,3,8,2]=>1101101=>[1,1,2,1,2,1] [4,6,7,5,3,8,1,2]=>0011010=>[3,1,2,2] [3,6,7,5,1,4,8,2]=>0011001=>[3,1,3,1] [8,1,6,7,5,4,2,3]=>1001110=>[1,3,1,1,2] [8,1,7,6,5,4,3,2]=>1011111=>[1,2,1,1,1,1,1] [2,7,6,1,5,4,3,8]=>0110110=>[2,1,2,1,2] [3,7,6,5,1,4,2,8]=>0111010=>[2,1,1,2,2] [4,7,6,5,3,1,2,8]=>0111100=>[2,1,1,1,3] [8,6,4,3,1,5,7,2]=>1111001=>[1,1,1,1,3,1] [8,6,4,1,5,2,7,3]=>1110101=>[1,1,1,2,2,1] [8,6,5,1,3,2,7,4]=>1110101=>[1,1,1,2,2,1] [8,6,3,1,7,2,4,5]=>1110100=>[1,1,1,2,3] [8,7,3,1,5,2,4,6]=>1110100=>[1,1,1,2,3] [5,3,1,7,2,4,6,8]=>1101000=>[1,1,2,4] [8,7,1,2,4,5,3,6]=>1100010=>[1,1,4,2] [8,6,1,2,4,7,3,5]=>1100010=>[1,1,4,2] [8,5,1,2,6,7,3,4]=>1100010=>[1,1,4,2] [8,5,1,6,4,2,7,3]=>1101101=>[1,1,2,1,2,1] [8,5,1,3,6,4,7,2]=>1100101=>[1,1,3,2,1] [8,6,1,5,3,4,7,2]=>1101001=>[1,1,2,3,1] [8,6,1,5,2,4,7,3]=>1101001=>[1,1,2,3,1] [8,6,1,2,5,7,3,4]=>1100010=>[1,1,4,2] [8,6,1,2,7,4,3,5]=>1100110=>[1,1,3,1,2] [8,7,1,2,5,4,3,6]=>1100110=>[1,1,3,1,2] [5,1,4,2,3,8,6,7]=>1010010=>[1,2,3,2] [5,1,4,2,7,3,6,8]=>1010100=>[1,2,2,3] [7,1,5,8,2,6,3,4]=>1001010=>[1,3,2,2] [5,7,8,1,2,4,6,3]=>0010001=>[3,4,1] [5,7,8,1,3,4,6,2]=>0010001=>[3,4,1] [5,8,1,7,3,4,6,2]=>0101001=>[2,2,3,1] [8,1,5,7,2,4,6,3]=>1001001=>[1,3,3,1] [8,4,1,2,7,6,3,5]=>1100110=>[1,1,3,1,2] [1,4,2,3,8,7,5,6]=>0100110=>[2,3,1,2] [1,4,2,7,6,3,5,8]=>0101100=>[2,2,1,3] [6,1,2,8,7,5,3,4]=>1001110=>[1,3,1,1,2] [6,1,2,4,8,7,5,3]=>1000111=>[1,4,1,1,1] [3,1,8,4,6,7,5,2]=>1010011=>[1,2,3,1,1] [3,1,7,6,4,8,5,2]=>1011011=>[1,2,1,2,1,1] [7,1,2,4,6,8,5,3]=>1000011=>[1,5,1,1] [7,1,2,6,8,5,3,4]=>1000110=>[1,4,1,2] [6,1,2,7,8,5,3,4]=>1000110=>[1,4,1,2] [6,1,2,7,4,8,5,3]=>1001011=>[1,3,2,1,1] [3,1,6,4,7,8,5,2]=>1010011=>[1,2,3,1,1] [5,7,1,3,8,4,6,2]=>0100101=>[2,3,2,1] [5,7,1,8,4,2,6,3]=>0101101=>[2,2,1,2,1] [7,1,5,3,2,8,6,4]=>1011011=>[1,2,1,2,1,1] [7,1,4,5,2,8,6,3]=>1001011=>[1,3,2,1,1] [4,7,3,1,5,8,6,2]=>0110011=>[2,1,3,1,1] [4,8,7,3,1,5,6,2]=>0111001=>[2,1,1,3,1] [8,1,7,4,5,2,6,3]=>1010101=>[1,2,2,2,1] [8,1,7,5,3,2,6,4]=>1011101=>[1,2,1,1,2,1] [8,3,7,1,2,6,4,5]=>1010010=>[1,2,3,2] [3,1,2,8,4,7,5,6]=>1001010=>[1,3,2,2] [3,1,2,8,6,4,5,7]=>1001100=>[1,3,1,3] [3,1,7,2,6,4,5,8]=>1010100=>[1,2,2,3] [1,4,2,3,8,6,5,7]=>0100110=>[2,3,1,2] [1,4,2,3,8,5,7,6]=>0100101=>[2,3,2,1] [5,8,1,7,2,4,6,3]=>0101001=>[2,2,3,1] [5,8,1,3,4,7,6,2]=>0100011=>[2,4,1,1] [3,1,8,6,4,7,5,2]=>1011011=>[1,2,1,2,1,1] [8,1,2,6,7,4,5,3]=>1000101=>[1,4,2,1] [6,1,2,8,7,3,5,4]=>1001101=>[1,3,1,2,1] [1,2,3,5,8,4,7,6]=>0000101=>[5,2,1] [1,2,3,5,8,6,4,7]=>0000110=>[5,1,2] [7,1,2,8,3,6,5,4]=>1001011=>[1,3,2,1,1] [7,1,2,8,6,4,5,3]=>1001101=>[1,3,1,2,1] [3,1,7,8,4,6,5,2]=>1001011=>[1,3,2,1,1] [3,1,8,7,6,4,5,2]=>1011101=>[1,2,1,1,2,1] [8,1,2,7,4,6,5,3]=>1001011=>[1,3,2,1,1] [8,1,2,7,3,6,5,4]=>1001011=>[1,3,2,1,1] [1,2,3,5,8,7,4,6]=>0000110=>[5,1,2] [1,2,3,6,8,5,4,7]=>0000110=>[5,1,2] [7,8,5,6,3,1,4,2]=>0101101=>[2,2,1,2,1] [7,8,5,3,6,1,2,4]=>0110100=>[2,1,2,3] [7,5,6,3,1,4,2,8]=>1011010=>[1,2,1,2,2] [7,5,8,3,1,4,2,6]=>1011010=>[1,2,1,2,2] [7,8,5,3,1,4,2,6]=>0111010=>[2,1,1,2,2] [7,8,5,3,1,6,2,4]=>0111010=>[2,1,1,2,2] [7,8,5,3,1,6,4,2]=>0111011=>[2,1,1,2,1,1] [7,8,5,3,6,1,4,2]=>0110101=>[2,1,2,2,1] [7,8,5,3,6,4,1,2]=>0110110=>[2,1,2,1,2] [7,8,5,3,4,1,6,2]=>0110101=>[2,1,2,2,1] [7,8,5,3,1,4,6,2]=>0111001=>[2,1,1,3,1] [7,8,5,3,1,2,6,4]=>0111001=>[2,1,1,3,1] [7,5,3,8,1,2,6,4]=>1101001=>[1,1,2,3,1] [7,5,8,3,4,1,6,2]=>1010101=>[1,2,2,2,1] [7,5,8,3,4,6,1,2]=>1010010=>[1,2,3,2] [7,5,6,3,4,1,8,2]=>1010101=>[1,2,2,2,1] [7,5,6,3,1,4,8,2]=>1011001=>[1,2,1,3,1] [7,5,6,3,1,2,8,4]=>1011001=>[1,2,1,3,1] [7,5,3,6,1,2,8,4]=>1101001=>[1,1,2,3,1] [7,5,3,4,1,2,8,6]=>1101001=>[1,1,2,3,1] [7,5,3,1,4,2,6,8]=>1110100=>[1,1,1,2,3] [7,5,3,1,4,2,8,6]=>1110101=>[1,1,1,2,2,1] [7,5,3,1,6,2,8,4]=>1110101=>[1,1,1,2,2,1] [7,5,3,1,6,4,8,2]=>1110101=>[1,1,1,2,2,1] [7,5,3,6,1,4,8,2]=>1101001=>[1,1,2,3,1] [7,5,3,6,4,1,8,2]=>1101101=>[1,1,2,1,2,1] [7,5,3,6,4,8,1,2]=>1101010=>[1,1,2,2,2] [7,5,3,8,4,6,1,2]=>1101010=>[1,1,2,2,2] [7,5,3,8,1,4,6,2]=>1101001=>[1,1,2,3,1] [7,5,3,1,8,4,6,2]=>1110101=>[1,1,1,2,2,1] [7,5,3,1,8,2,6,4]=>1110101=>[1,1,1,2,2,1] [7,5,3,1,8,2,4,6]=>1110100=>[1,1,1,2,3] [7,5,3,1,6,2,4,8]=>1110100=>[1,1,1,2,3] [7,5,3,1,6,4,2,8]=>1110110=>[1,1,1,2,1,2] [7,5,3,1,8,4,2,6]=>1110110=>[1,1,1,2,1,2] [7,5,3,1,8,6,2,4]=>1110110=>[1,1,1,2,1,2] [7,5,3,8,1,6,4,2]=>1101011=>[1,1,2,2,1,1] [7,5,3,8,6,1,4,2]=>1101101=>[1,1,2,1,2,1] [7,5,3,8,6,4,1,2]=>1101110=>[1,1,2,1,1,2] [7,5,8,3,6,4,1,2]=>1010110=>[1,2,2,1,2] [7,5,8,3,6,1,4,2]=>1010101=>[1,2,2,2,1] [7,5,8,3,1,6,4,2]=>1011011=>[1,2,1,2,1,1] [7,5,8,3,1,6,2,4]=>1011010=>[1,2,1,2,2] [7,5,3,6,1,4,2,8]=>1101010=>[1,1,2,2,2] [7,5,3,6,4,1,2,8]=>1101100=>[1,1,2,1,3] [7,5,3,8,4,1,2,6]=>1101100=>[1,1,2,1,3] [7,5,8,6,3,1,2,4]=>1011100=>[1,2,1,1,3] [7,5,8,6,3,1,4,2]=>1011101=>[1,2,1,1,2,1] [7,5,8,6,3,4,1,2]=>1011010=>[1,2,1,2,2] [7,5,6,8,3,1,4,2]=>1001101=>[1,3,1,2,1] [7,5,6,3,8,1,2,4]=>1010100=>[1,2,2,3] [7,5,3,4,1,6,2,8]=>1101010=>[1,1,2,2,2] [7,5,3,4,1,8,2,6]=>1101010=>[1,1,2,2,2] [7,5,6,3,1,8,2,4]=>1011010=>[1,2,1,2,2] [7,5,6,3,1,8,4,2]=>1011011=>[1,2,1,2,1,1] [7,5,6,3,8,1,4,2]=>1010101=>[1,2,2,2,1] [7,5,6,3,8,4,1,2]=>1010110=>[1,2,2,1,2] [7,5,3,6,8,4,1,2]=>1100110=>[1,1,3,1,2] [7,5,3,6,8,1,4,2]=>1100101=>[1,1,3,2,1] [7,5,3,6,1,8,4,2]=>1101011=>[1,1,2,2,1,1] [7,5,3,1,6,8,4,2]=>1110011=>[1,1,1,3,1,1] [7,5,3,1,6,8,2,4]=>1110010=>[1,1,1,3,2] [7,5,3,1,4,8,2,6]=>1110010=>[1,1,1,3,2] [7,5,3,1,4,6,2,8]=>1110010=>[1,1,1,3,2] [7,5,3,1,2,6,4,8]=>1110010=>[1,1,1,3,2] [7,5,3,1,2,8,4,6]=>1110010=>[1,1,1,3,2] [7,5,3,1,2,8,6,4]=>1110011=>[1,1,1,3,1,1] [7,5,3,1,4,8,6,2]=>1110011=>[1,1,1,3,1,1] [7,5,3,4,1,8,6,2]=>1101011=>[1,1,2,2,1,1] [7,5,3,4,8,1,6,2]=>1100101=>[1,1,3,2,1] [7,5,3,4,8,6,1,2]=>1100110=>[1,1,3,1,2] [7,5,3,4,6,1,8,2]=>1100101=>[1,1,3,2,1] [7,5,3,4,1,6,8,2]=>1101001=>[1,1,2,3,1] [7,5,3,1,4,6,8,2]=>1110001=>[1,1,1,4,1] [7,5,3,1,2,6,8,4]=>1110001=>[1,1,1,4,1] [7,5,3,1,2,4,8,6]=>1110001=>[1,1,1,4,1] [3,6,2,5,4,1,8,7]=>0101101=>[2,2,1,2,1] [3,5,2,8,4,7,6,1]=>0101011=>[2,2,2,1,1] [5,4,7,3,2,8,6,1]=>1011011=>[1,2,1,2,1,1] [5,4,8,3,2,7,6,1]=>1011011=>[1,2,1,2,1,1] [6,4,5,3,2,1,8,7]=>1011101=>[1,2,1,1,2,1] [5,3,2,6,4,1,8,7]=>1101101=>[1,1,2,1,2,1] [4,5,8,3,2,7,6,1]=>0011011=>[3,1,2,1,1] [4,7,6,3,8,5,2,1]=>0110111=>[2,1,2,1,1,1] [4,8,6,3,7,5,2,1]=>0110111=>[2,1,2,1,1,1] [4,8,5,3,2,7,6,1]=>0111011=>[2,1,1,2,1,1] [5,8,4,3,2,7,6,1]=>0111011=>[2,1,1,2,1,1] [5,3,2,8,4,7,6,1]=>1101011=>[1,1,2,2,1,1] [2,1,5,8,4,7,6,3]=>1001011=>[1,3,2,1,1] [5,3,2,7,4,8,6,1]=>1101011=>[1,1,2,2,1,1] [5,7,4,3,2,8,6,1]=>0111011=>[2,1,1,2,1,1] [4,7,5,3,2,8,6,1]=>0111011=>[2,1,1,2,1,1] [4,7,8,3,6,5,2,1]=>0010111=>[3,2,1,1,1] [4,6,8,3,7,5,2,1]=>0010111=>[3,2,1,1,1] [7,6,4,3,8,5,2,1]=>1110111=>[1,1,1,2,1,1,1] [7,3,2,6,8,5,4,1]=>1100111=>[1,1,3,1,1,1] [2,1,8,6,7,5,4,3]=>1010111=>[1,2,2,1,1,1] [8,3,2,6,7,5,4,1]=>1100111=>[1,1,3,1,1,1] [8,6,4,3,7,5,2,1]=>1110111=>[1,1,1,2,1,1,1] [8,5,7,6,4,3,2,1]=>1011111=>[1,2,1,1,1,1,1] [8,4,5,3,2,7,6,1]=>1011011=>[1,2,1,2,1,1] [8,4,7,3,6,5,2,1]=>1010111=>[1,2,2,1,1,1] [8,4,6,3,7,5,2,1]=>1010111=>[1,2,2,1,1,1] [7,4,6,3,8,5,2,1]=>1010111=>[1,2,2,1,1,1] [3,7,2,6,8,5,4,1]=>0100111=>[2,3,1,1,1] [3,8,2,6,7,5,4,1]=>0100111=>[2,3,1,1,1] [3,8,2,5,4,7,6,1]=>0101011=>[2,2,2,1,1] [3,7,2,8,6,5,4,1]=>0101111=>[2,2,1,1,1,1] [3,6,2,8,7,5,4,1]=>0101111=>[2,2,1,1,1,1] [6,4,7,3,8,5,2,1]=>1010111=>[1,2,2,1,1,1] [6,4,8,3,7,5,2,1]=>1010111=>[1,2,2,1,1,1] [7,4,8,3,6,5,2,1]=>1010111=>[1,2,2,1,1,1] [7,4,5,3,2,8,6,1]=>1011011=>[1,2,1,2,1,1] [7,5,4,3,2,8,6,1]=>1111011=>[1,1,1,1,2,1,1] [7,3,2,5,4,8,6,1]=>1101011=>[1,1,2,2,1,1] [2,1,7,5,4,8,6,3]=>1011011=>[1,2,1,2,1,1] [7,3,2,8,6,5,4,1]=>1101111=>[1,1,2,1,1,1,1] [7,8,4,3,6,5,2,1]=>0110111=>[2,1,2,1,1,1] [6,8,5,7,4,3,2,1]=>0101111=>[2,2,1,1,1,1] [6,8,4,3,7,5,2,1]=>0110111=>[2,1,2,1,1,1] [6,3,2,8,7,5,4,1]=>1101111=>[1,1,2,1,1,1,1] [6,3,2,7,8,5,4,1]=>1100111=>[1,1,3,1,1,1] [6,7,4,3,8,5,2,1]=>0110111=>[2,1,2,1,1,1] [2,3,1,4,5,6,7,8,9]=>01000000=>[2,7] [2,3,4,1,5,6,7,8,9]=>00100000=>[3,6] [2,3,4,5,1,6,7,8,9]=>00010000=>[4,5] [2,3,4,5,6,1,7,8,9]=>00001000=>[5,4] [2,3,1,4,5,6,7,8,9,10]=>010000000=>[2,8] [2,4,3,1,5,6,7,8,9]=>01100000=>[2,1,6] [2,3,4,1,5,6,7,8,9,10]=>001000000=>[3,7] [2,3,5,4,1,6,7,8,9]=>00110000=>[3,1,5] [2,3,4,5,1,6,7,8,9,10]=>000100000=>[4,6] [2,3,4,6,5,1,7,8,9]=>00011000=>[4,1,4] [2,3,4,5,6,1,7,8,9,10]=>000010000=>[5,5] [2,3,4,5,7,6,1,8,9]=>00001100=>[5,1,3] [2,3,4,5,6,7,1,8,9,10]=>000001000=>[6,4] [2,3,4,5,6,8,7,1,9]=>00000110=>[6,1,2] [2,3,4,5,6,7,8,1,9,10]=>000000100=>[7,3] [2,3,4,5,6,7,9,8,1]=>00000011=>[7,1,1] [4,6,8,3,5,7,1,2]=>0010010=>[3,3,2] [6,8,1,2,4,5,7,3]=>0100001=>[2,5,1] [3,5,8,2,4,7,1,6]=>0010010=>[3,3,2] [8,3,5,2,4,1,6,7]=>1010100=>[1,2,2,3] [4,2,5,7,3,6,1,8]=>1001010=>[1,3,2,2] [4,5,2,8,3,1,6,7]=>0101100=>[2,2,1,3] [4,2,5,8,3,7,1,6]=>1001010=>[1,3,2,2] [2,1,6,8,4,7,3,5]=>1001010=>[1,3,2,2] [1,2,5,8,3,6,7,4]=>0001001=>[4,3,1] [5,3,6,8,4,7,1,2]=>1001010=>[1,3,2,2] [1,6,5,8,2,4,7,3]=>0101001=>[2,2,3,1] [3,1,2,6,8,5,7,4]=>1000101=>[1,4,2,1] [1,4,3,8,2,6,7,5]=>0101001=>[2,2,3,1] [5,4,8,3,2,1,6,7]=>1011100=>[1,2,1,1,3] [5,4,3,7,2,6,1,8]=>1101010=>[1,1,2,2,2] [4,3,6,2,7,5,1,8]=>1010110=>[1,2,2,1,2] [4,6,3,2,1,8,5,7]=>0111010=>[2,1,1,2,2] [4,1,7,3,2,5,8,6]=>1011001=>[1,2,1,3,1] [4,3,1,7,8,2,6,5]=>1100101=>[1,1,3,2,1] [3,5,1,2,7,8,6,4]=>0100011=>[2,4,1,1] [7,5,1,4,8,2,6,3]=>1100101=>[1,1,3,2,1] [5,4,7,3,8,6,1,2]=>1010110=>[1,2,2,1,2] [5,8,4,7,6,3,1,2]=>0101110=>[2,2,1,1,2] [5,8,7,1,4,2,6,3]=>0110101=>[2,1,2,2,1] [8,3,5,1,2,7,6,4]=>1010011=>[1,2,3,1,1] [4,8,3,1,7,2,6,5]=>0110101=>[2,1,2,2,1] [1,8,4,3,5,2,7,6]=>0110101=>[2,1,2,2,1] [4,6,3,1,5,2,8,7]=>0110101=>[2,1,2,2,1] [4,7,3,6,5,2,1,8]=>0101110=>[2,2,1,1,2] [5,3,7,6,4,2,1,8]=>1011110=>[1,2,1,1,1,2] [1,6,3,4,2,8,7,5]=>0101011=>[2,2,2,1,1] [1,8,3,6,2,7,5,4]=>0101011=>[2,2,2,1,1] [1,6,8,7,4,2,5,3]=>0011101=>[3,1,1,2,1] [6,4,8,7,5,3,1,2]=>1011110=>[1,2,1,1,1,2] [7,6,4,3,8,5,1,2]=>1110110=>[1,1,1,2,1,2] [1,7,6,2,8,4,5,3]=>0110101=>[2,1,2,2,1] [7,1,3,2,6,8,5,4]=>1010011=>[1,2,3,1,1] [1,5,3,2,7,4,8,6]=>0110101=>[2,1,2,2,1] [6,3,2,1,8,5,4,7]=>1110110=>[1,1,1,2,1,2] [6,5,3,2,7,4,1,8]=>1110110=>[1,1,1,2,1,2] [5,2,6,3,7,4,1,8]=>1010110=>[1,2,2,1,2] [2,8,5,3,1,6,4,7]=>0111010=>[2,1,1,2,2] [2,1,7,3,8,5,4,6]=>1010110=>[1,2,2,1,2] [1,6,2,3,7,8,5,4]=>0100011=>[2,4,1,1] [1,6,7,2,8,4,5,3]=>0010101=>[3,2,2,1] [5,7,1,8,2,4,6,3]=>0101001=>[2,2,3,1] [5,1,2,7,8,3,6,4]=>1000101=>[1,4,2,1] [2,4,1,7,8,6,3,5]=>0100110=>[2,3,1,2] [4,2,1,7,3,8,5,6]=>1101010=>[1,1,2,2,2] [6,2,8,4,3,1,5,7]=>1011100=>[1,2,1,1,3] [7,3,2,1,8,4,5,6]=>1110100=>[1,1,1,2,3] [7,8,3,2,5,6,1,4]=>0110010=>[2,1,3,2] [7,1,8,2,4,5,6,3]=>1010001=>[1,2,4,1] [8,7,6,1,2,4,5,3]=>1110001=>[1,1,1,4,1] [8,3,7,6,2,1,4,5]=>1011100=>[1,2,1,1,3] [3,2,8,7,5,1,4,6]=>1011100=>[1,2,1,1,3] [8,3,6,5,2,1,4,7]=>1011100=>[1,2,1,1,3] [7,6,3,5,2,4,1,8]=>1101010=>[1,1,2,2,2] [7,4,6,2,5,3,1,8]=>1010110=>[1,2,2,1,2] [8,2,4,1,6,5,3,7]=>1010110=>[1,2,2,1,2] [4,2,8,1,7,5,3,6]=>1010110=>[1,2,2,1,2] [8,2,4,1,7,6,3,5]=>1010110=>[1,2,2,1,2] [8,7,1,5,6,2,4,3]=>1100101=>[1,1,3,2,1] [8,5,7,3,6,4,1,2]=>1010110=>[1,2,2,1,2] [6,8,3,7,5,4,1,2]=>0101110=>[2,2,1,1,2] [8,1,6,7,5,2,4,3]=>1001101=>[1,3,1,2,1] [8,1,2,6,4,3,7,5]=>1001101=>[1,3,1,2,1] [2,8,1,7,5,4,3,6]=>0101110=>[2,2,1,1,2] [2,5,1,8,6,4,3,7]=>0101110=>[2,2,1,1,2] [5,7,2,6,4,3,1,8]=>0101110=>[2,2,1,1,2] [6,2,7,5,4,3,1,8]=>1011110=>[1,2,1,1,1,2] [2,1,8,6,5,4,3,7]=>1011110=>[1,2,1,1,1,2] [1,2,7,5,4,3,8,6]=>0011101=>[3,1,1,2,1] [1,7,2,4,3,8,6,5]=>0101011=>[2,2,2,1,1] [1,7,2,8,3,6,5,4]=>0101011=>[2,2,2,1,1] [1,7,8,6,5,2,4,3]=>0011101=>[3,1,1,2,1] [7,3,8,6,5,4,1,2]=>1011110=>[1,2,1,1,1,2] [1,8,7,6,5,2,4,3]=>0111101=>[2,1,1,1,2,1] [8,1,7,3,2,6,5,4]=>1011011=>[1,2,1,2,1,1] [5,1,4,3,2,8,7,6]=>1011011=>[1,2,1,2,1,1] [8,6,5,3,2,1,7,4]=>1111101=>[1,1,1,1,1,2,1] [8,6,3,2,1,7,4,5]=>1111010=>[1,1,1,1,2,2] [8,6,5,4,1,7,2,3]=>1111010=>[1,1,1,1,2,2] [8,6,5,1,7,3,2,4]=>1110110=>[1,1,1,2,1,2] [8,6,1,7,4,3,2,5]=>1101110=>[1,1,2,1,1,2] [4,6,3,2,7,5,1,8]=>0110110=>[2,1,2,1,2] [1,4,3,7,2,5,8,6]=>0101001=>[2,2,3,1] [7,4,8,3,1,6,2,5]=>1011010=>[1,2,1,2,2] [7,1,5,8,3,2,6,4]=>1001101=>[1,3,1,2,1] [5,7,4,1,8,2,6,3]=>0110101=>[2,1,2,2,1] [5,7,4,3,1,8,6,2]=>0111011=>[2,1,1,2,1,1] [1,8,7,2,5,4,6,3]=>0110101=>[2,1,2,2,1] [1,8,5,3,7,2,6,4]=>0110101=>[2,1,2,2,1] [4,3,1,8,7,5,2,6]=>1101110=>[1,1,2,1,1,2] [1,4,8,6,3,5,2,7]=>0011010=>[3,1,2,2] [7,4,6,3,5,2,1,8]=>1010110=>[1,2,2,1,2] [1,3,5,6,8,4,2,7]=>0000110=>[5,1,2] [3,5,4,8,7,1,2,6]=>0101100=>[2,2,1,3] [3,1,4,6,8,7,2,5]=>1000110=>[1,4,1,2] [1,6,3,8,7,2,5,4]=>0101101=>[2,2,1,2,1] [1,6,2,4,8,7,5,3]=>0100111=>[2,3,1,1,1] [8,4,1,6,7,5,3,2]=>1100111=>[1,1,3,1,1,1] [7,1,6,4,8,5,2,3]=>1010110=>[1,2,2,1,2] [7,3,6,8,5,1,2,4]=>1001100=>[1,3,1,3] [1,3,7,2,6,8,4,5]=>0010010=>[3,3,2] [3,6,5,2,8,1,4,7]=>0110100=>[2,1,2,3] [3,6,5,7,2,4,1,8]=>0101010=>[2,2,2,2] [4,2,6,3,8,1,5,7]=>1010100=>[1,2,2,3] [4,2,6,7,3,5,1,8]=>1001010=>[1,3,2,2] [3,6,2,4,7,5,1,8]=>0100110=>[2,3,1,2] [3,6,2,4,1,8,5,7]=>0101010=>[2,2,2,2] [7,3,8,2,1,6,4,5]=>1011010=>[1,2,1,2,2] [7,3,5,2,1,8,6,4]=>1011011=>[1,2,1,2,1,1] [8,7,6,4,3,1,5,2]=>1111101=>[1,1,1,1,1,2,1] [8,7,6,4,1,5,2,3]=>1111010=>[1,1,1,1,2,2] [3,8,7,2,1,4,6,5]=>0111001=>[2,1,1,3,1] [3,8,2,7,1,5,4,6]=>0101010=>[2,2,2,2] [3,6,8,2,1,5,4,7]=>0011010=>[3,1,2,2] [2,4,8,1,6,5,3,7]=>0010110=>[3,2,1,2] [4,2,8,1,5,7,3,6]=>1010010=>[1,2,3,2] [8,5,7,6,1,4,2,3]=>1011010=>[1,2,1,2,2] [8,6,1,7,3,5,4,2]=>1101011=>[1,1,2,2,1,1] [8,6,1,7,5,4,2,3]=>1101110=>[1,1,2,1,1,2] [1,6,2,8,7,3,5,4]=>0101101=>[2,2,1,2,1] [1,8,2,4,6,7,3,5]=>0100010=>[2,4,2] [2,8,5,4,7,1,3,6]=>0110100=>[2,1,2,3] [2,1,5,8,6,4,3,7]=>1001110=>[1,3,1,1,2] [7,2,5,6,4,3,1,8]=>1001110=>[1,3,1,1,2] [1,2,5,7,8,4,3,6]=>0000110=>[5,1,2] [1,2,7,4,8,6,3,5]=>0010110=>[3,2,1,2] [1,2,7,8,3,6,5,4]=>0001011=>[4,2,1,1] [7,1,8,6,3,5,4,2]=>1011011=>[1,2,1,2,1,1] [1,8,7,6,3,5,2,4]=>0111010=>[2,1,1,2,2] [1,8,7,4,6,3,2,5]=>0110110=>[2,1,2,1,2] [7,1,5,8,3,4,6,2]=>1001001=>[1,3,3,1] [7,1,6,4,2,3,5,8]=>1011000=>[1,2,1,4] [8,6,2,4,7,3,5,1]=>1100101=>[1,1,3,2,1] [8,6,2,4,5,7,3,1]=>1100011=>[1,1,4,1,1] [2,7,1,4,5,8,3,6]=>0100010=>[2,4,2] [7,1,6,4,5,2,3,8]=>1010100=>[1,2,2,3] [7,1,4,5,6,8,2,3]=>1000010=>[1,5,2] [7,1,4,6,5,8,3,2]=>1001011=>[1,3,2,1,1] [7,1,2,3,8,5,4,6]=>1000110=>[1,4,1,2] [7,1,5,4,3,8,2,6]=>1011010=>[1,2,1,2,2] [7,1,3,4,2,6,8,5]=>1001001=>[1,3,3,1] [7,1,5,4,6,2,8,3]=>1010101=>[1,2,2,2,1] [7,1,5,6,4,3,8,2]=>1001101=>[1,3,1,2,1] [7,1,6,5,4,3,2,8]=>1011110=>[1,2,1,1,1,2] [8,6,2,5,4,3,7,1]=>1101101=>[1,1,2,1,2,1] [2,5,1,7,4,3,6,8]=>0101100=>[2,2,1,3] [2,5,1,4,7,8,6,3]=>0100011=>[2,4,1,1] [3,5,1,4,8,6,2,7]=>0100110=>[2,3,1,2] [3,6,2,4,7,8,1,5]=>0100010=>[2,4,2] [5,6,2,4,8,7,1,3]=>0100110=>[2,3,1,2] [6,3,8,2,4,7,1,5]=>1010010=>[1,2,3,2] [6,5,8,7,2,3,1,4]=>1011010=>[1,2,1,2,2] [6,5,7,8,2,4,1,3]=>1001010=>[1,3,2,2] [6,3,4,2,8,5,1,7]=>1010110=>[1,2,2,1,2] [3,4,7,2,5,8,1,6]=>0010010=>[3,3,2] [4,6,8,1,3,5,2,7]=>0010010=>[3,3,2] [4,3,8,1,2,7,5,6]=>1010010=>[1,2,3,2] [3,6,4,1,7,2,5,8]=>0110100=>[2,1,2,3] [2,8,3,1,5,6,4,7]=>0110010=>[2,1,3,2] [3,8,7,1,5,4,2,6]=>0110110=>[2,1,2,1,2] [4,3,1,7,6,8,2,5]=>1101010=>[1,1,2,2,2] [3,4,1,7,5,6,8,2]=>0101001=>[2,2,3,1] [3,4,1,5,7,6,2,8]=>0100110=>[2,3,1,2] [3,7,4,1,6,2,8,5]=>0110101=>[2,1,2,2,1] [8,4,7,2,5,3,6,1]=>1010101=>[1,2,2,2,1] [4,7,8,1,2,3,6,5]=>0010001=>[3,4,1] [2,8,6,1,5,3,7,4]=>0110101=>[2,1,2,2,1] [7,6,5,1,3,8,2,4]=>1110010=>[1,1,1,3,2] [7,6,5,1,3,4,8,2]=>1110001=>[1,1,1,4,1] [7,2,6,4,1,3,8,5]=>1011001=>[1,2,1,3,1] [6,7,5,2,1,3,8,4]=>0111001=>[2,1,1,3,1] [8,4,5,3,7,2,6,1]=>1010101=>[1,2,2,2,1] [4,7,5,2,8,1,6,3]=>0110101=>[2,1,2,2,1] [2,6,4,3,1,5,7,8]=>0111000=>[2,1,1,4] [7,3,8,4,1,5,2,6]=>1011010=>[1,2,1,2,2] [7,2,3,4,1,6,5,8]=>1001010=>[1,3,2,2] [4,2,8,3,6,1,5,7]=>1010100=>[1,2,2,3] [6,8,5,7,2,1,3,4]=>0101100=>[2,2,1,3] [4,8,5,2,7,1,3,6]=>0110100=>[2,1,2,3] [6,3,5,2,1,7,4,8]=>1011010=>[1,2,1,2,2] [6,8,5,3,1,4,2,7]=>0111010=>[2,1,1,2,2] [3,6,5,4,2,8,1,7]=>0111010=>[2,1,1,2,2] [1,6,4,7,2,5,3,8]=>0101010=>[2,2,2,2] [1,6,4,8,2,5,3,7]=>0101010=>[2,2,2,2] [1,6,5,8,2,4,3,7]=>0101010=>[2,2,2,2] [1,6,8,2,4,3,7,5]=>0010101=>[3,2,2,1] [1,6,2,4,3,7,8,5]=>0101001=>[2,2,3,1] [1,5,6,2,4,7,3,8]=>0010010=>[3,3,2] [1,5,6,2,4,7,8,3]=>0010001=>[3,4,1] [1,5,8,2,4,7,3,6]=>0010010=>[3,3,2] [1,5,7,2,4,8,3,6]=>0010010=>[3,3,2] [1,6,5,7,2,4,3,8]=>0101010=>[2,2,2,2] [1,6,7,2,4,3,8,5]=>0010101=>[3,2,2,1] [1,5,6,7,2,4,8,3]=>0001001=>[4,3,1] [1,5,8,2,4,6,7,3]=>0010001=>[3,4,1] [1,5,7,2,4,6,8,3]=>0010001=>[3,4,1] [1,5,7,8,3,2,4,6]=>0001100=>[4,1,3] [1,5,8,3,2,4,6,7]=>0011000=>[3,1,4] [1,5,6,2,4,8,3,7]=>0010010=>[3,3,2] [1,7,6,2,8,3,4,5]=>0110100=>[2,1,2,3] [1,7,3,4,2,8,6,5]=>0101011=>[2,2,2,1,1] [1,6,2,4,3,8,7,5]=>0101011=>[2,2,2,1,1] [1,5,6,2,4,8,7,3]=>0010011=>[3,3,1,1] [1,5,8,7,3,2,4,6]=>0011100=>[3,1,1,3] [1,4,2,3,5,8,7,6]=>0100011=>[2,4,1,1] [1,5,2,3,4,8,7,6]=>0100011=>[2,4,1,1] [1,6,5,2,3,8,7,4]=>0110011=>[2,1,3,1,1] [1,7,4,2,8,6,5,3]=>0110111=>[2,1,2,1,1,1] [1,7,6,5,2,8,4,3]=>0111011=>[2,1,1,2,1,1] [1,6,7,5,2,3,8,4]=>0011001=>[3,1,3,1] [1,7,5,2,8,4,3,6]=>0110110=>[2,1,2,1,2] [1,7,5,6,2,8,3,4]=>0101010=>[2,2,2,2] [1,5,7,6,2,4,8,3]=>0011001=>[3,1,3,1] [1,5,8,3,2,4,7,6]=>0011001=>[3,1,3,1] [1,6,5,2,3,7,4,8]=>0110010=>[2,1,3,2] [1,6,5,2,3,7,8,4]=>0110001=>[2,1,4,1] [1,6,8,4,2,3,7,5]=>0011001=>[3,1,3,1] [1,7,4,6,2,8,3,5]=>0101010=>[2,2,2,2] [1,7,3,5,2,8,4,6]=>0101010=>[2,2,2,2] [1,6,8,5,2,3,7,4]=>0011001=>[3,1,3,1] [1,6,4,2,3,7,8,5]=>0110001=>[2,1,4,1] [1,6,4,2,3,7,5,8]=>0110010=>[2,1,3,2] [1,5,8,6,2,4,7,3]=>0011001=>[3,1,3,1] [1,5,7,3,2,4,8,6]=>0011001=>[3,1,3,1] [1,7,3,4,2,8,5,6]=>0101010=>[2,2,2,2] [1,7,4,2,8,5,3,6]=>0110110=>[2,1,2,1,2] [1,6,7,4,2,3,8,5]=>0011001=>[3,1,3,1] [1,6,4,2,3,8,5,7]=>0110010=>[2,1,3,2] [1,7,6,4,2,8,5,3]=>0111011=>[2,1,1,2,1,1] [1,7,5,2,8,6,4,3]=>0110111=>[2,1,2,1,1,1] [1,6,4,2,3,8,7,5]=>0110011=>[2,1,3,1,1] [7,3,5,6,1,4,8,2]=>1001001=>[1,3,3,1] [3,7,5,6,1,4,8,2]=>0101001=>[2,2,3,1] [8,2,4,1,6,7,5,3]=>1010011=>[1,2,3,1,1] [8,6,1,4,2,7,5,3]=>1101011=>[1,1,2,2,1,1] [3,6,1,4,2,8,5,7]=>0101010=>[2,2,2,2] [1,6,7,4,3,5,8,2]=>0011001=>[3,1,3,1] [6,7,1,4,3,5,8,2]=>0101001=>[2,2,3,1] [7,6,1,4,3,5,8,2]=>1101001=>[1,1,2,3,1] [3,5,4,1,6,7,8,2]=>0110001=>[2,1,4,1] [4,7,1,6,3,5,8,2]=>0101001=>[2,2,3,1] [3,1,4,7,6,5,8,2]=>1001101=>[1,3,1,2,1] [6,1,7,4,3,5,8,2]=>1011001=>[1,2,1,3,1] [7,1,6,4,3,5,8,2]=>1011001=>[1,2,1,3,1] [1,7,6,4,3,5,8,2]=>0111001=>[2,1,1,3,1] [8,1,6,4,2,7,5,3]=>1011011=>[1,2,1,2,1,1] [8,4,1,3,7,2,5,6]=>1100100=>[1,1,3,3] [4,7,1,3,8,2,5,6]=>0100100=>[2,3,3] [7,4,1,3,8,2,5,6]=>1100100=>[1,1,3,3] [1,3,6,4,2,8,5,7]=>0011010=>[3,1,2,2] [4,7,3,1,2,8,5,6]=>0110010=>[2,1,3,2] [4,7,8,1,2,6,5,3]=>0010011=>[3,3,1,1] [6,8,1,4,2,7,5,3]=>0101011=>[2,2,2,1,1] [1,8,6,4,2,7,5,3]=>0111011=>[2,1,1,2,1,1] [4,8,1,3,7,2,5,6]=>0100100=>[2,3,3] [8,7,1,3,6,2,5,4]=>1100101=>[1,1,3,2,1] [6,8,5,7,3,2,1,4]=>0101110=>[2,2,1,1,2] [1,8,4,3,7,2,5,6]=>0110100=>[2,1,2,3] [2,8,3,4,7,6,1,5]=>0100110=>[2,3,1,2] [3,7,8,4,6,2,1,5]=>0010110=>[3,2,1,2] [3,7,4,6,8,2,1,5]=>0100110=>[2,3,1,2] [2,4,3,7,8,6,1,5]=>0100110=>[2,3,1,2] [1,4,7,3,8,2,5,6]=>0010100=>[3,2,3] [5,7,6,8,3,2,1,4]=>0101110=>[2,2,1,1,2] [2,5,3,4,8,6,1,7]=>0100110=>[2,3,1,2] [3,7,5,4,8,2,1,6]=>0110110=>[2,1,2,1,2] [7,1,3,4,2,8,5,6]=>1001010=>[1,3,2,2] [6,1,4,3,8,2,5,7]=>1010100=>[1,2,2,3] [4,1,7,3,8,2,5,6]=>1010100=>[1,2,2,3] [8,1,4,3,7,2,5,6]=>1010100=>[1,2,2,3] [8,2,3,4,7,6,1,5]=>1000110=>[1,4,1,2] [4,2,3,7,8,6,1,5]=>1000110=>[1,4,1,2] [5,2,3,4,8,6,1,7]=>1000110=>[1,4,1,2] [2,7,5,6,3,8,1,4]=>0101010=>[2,2,2,2] [5,7,2,6,3,8,1,4]=>0101010=>[2,2,2,2] [5,7,2,6,8,4,1,3]=>0100110=>[2,3,1,2] [7,2,5,6,8,4,1,3]=>1000110=>[1,4,1,2] [4,2,3,8,5,6,1,7]=>1001010=>[1,3,2,2] [5,2,3,8,7,6,1,4]=>1001110=>[1,3,1,1,2] [8,2,3,7,5,6,1,4]=>1001010=>[1,3,2,2] [6,1,8,3,7,2,5,4]=>1010101=>[1,2,2,2,1] [1,7,8,4,2,6,5,3]=>0011011=>[3,1,2,1,1] [4,7,1,8,2,5,6,3]=>0101001=>[2,2,3,1] [3,7,4,8,5,2,1,6]=>0101110=>[2,2,1,1,2] [2,4,3,8,5,6,1,7]=>0101010=>[2,2,2,2] [1,4,8,3,6,2,5,7]=>0010100=>[3,2,3] [7,5,8,6,3,2,1,4]=>1011110=>[1,2,1,1,1,2] [6,5,8,7,3,2,1,4]=>1011110=>[1,2,1,1,1,2] [8,5,7,6,3,2,1,4]=>1011110=>[1,2,1,1,1,2] [2,5,3,8,7,6,1,4]=>0101110=>[2,2,1,1,2] [3,7,5,8,6,2,1,4]=>0101110=>[2,2,1,1,2] [3,7,8,6,5,2,1,4]=>0011110=>[3,1,1,1,2] [1,8,7,3,6,2,5,4]=>0110101=>[2,1,2,2,1] [6,8,7,5,3,2,1,4]=>0111110=>[2,1,1,1,1,2] [5,7,6,8,3,4,1,2]=>0101010=>[2,2,2,2] [3,7,6,8,4,5,1,2]=>0101010=>[2,2,2,2] [1,5,4,7,6,8,2,3]=>0101010=>[2,2,2,2] [1,7,4,6,5,8,2,3]=>0101010=>[2,2,2,2] [3,7,4,6,5,8,1,2]=>0101010=>[2,2,2,2] [3,5,4,8,6,7,1,2]=>0101010=>[2,2,2,2] [3,8,4,6,5,7,1,2]=>0101010=>[2,2,2,2] [3,6,4,7,5,8,1,2]=>0101010=>[2,2,2,2] [1,6,2,7,5,8,3,4]=>0101010=>[2,2,2,2] [1,6,4,8,5,7,2,3]=>0101010=>[2,2,2,2] [1,8,4,6,5,7,2,3]=>0101010=>[2,2,2,2] [1,5,4,8,6,7,2,3]=>0101010=>[2,2,2,2] [7,8,1,5,4,6,2,3]=>0101010=>[2,2,2,2] [7,8,1,5,2,4,3,6]=>0101010=>[2,2,2,2] [1,8,2,6,5,7,3,4]=>0101010=>[2,2,2,2] [1,7,2,8,5,6,3,4]=>0101010=>[2,2,2,2] [1,7,2,6,5,8,3,4]=>0101010=>[2,2,2,2] [1,5,2,7,6,8,3,4]=>0101010=>[2,2,2,2] [1,7,6,8,2,5,3,4]=>0101010=>[2,2,2,2] [1,7,6,8,4,5,2,3]=>0101010=>[2,2,2,2] [5,7,6,8,1,4,2,3]=>0101010=>[2,2,2,2] [7,8,5,6,1,3,2,4]=>0101010=>[2,2,2,2] [5,8,6,7,1,3,2,4]=>0101010=>[2,2,2,2] [1,3,2,7,6,8,4,5]=>0101010=>[2,2,2,2] [1,7,6,8,2,4,3,5]=>0101010=>[2,2,2,2] [7,8,1,3,2,6,4,5]=>0101010=>[2,2,2,2] [7,8,1,6,2,4,3,5]=>0101010=>[2,2,2,2] [1,8,6,7,2,4,3,5]=>0101010=>[2,2,2,2] [7,8,1,4,2,6,3,5]=>0101010=>[2,2,2,2] [7,8,1,4,2,5,3,6]=>0101010=>[2,2,2,2] [7,8,2,1,4,3,6,5]=>0110101=>[2,1,2,2,1] [7,8,1,2,4,3,5,6]=>0100100=>[2,3,3] [4,3,6,5,8,7,1,2]=>1010110=>[1,2,2,1,2] [3,4,6,5,7,8,1,2]=>0010010=>[3,3,2] [3,4,1,5,6,7,8,9,2]=>01000001=>[2,6,1] [3,4,5,1,6,7,8,9,2]=>00100001=>[3,5,1] [3,4,5,6,1,7,8,9,2]=>00010001=>[4,4,1] [3,4,5,6,7,1,8,9,2]=>00001001=>[5,3,1] [3,4,5,6,7,8,1,9,2]=>00000101=>[6,2,1] [3,1,2,5,6,7,8,9,4]=>10000001=>[1,7,1] [3,4,1,5,6,7,8,9,10,2]=>010000001=>[2,7,1] [3,4,1,2,6,7,8,9,5]=>01000001=>[2,6,1] [3,4,5,1,6,7,8,9,10,2]=>001000001=>[3,6,1] [3,4,5,1,2,7,8,9,6]=>00100001=>[3,5,1] [3,4,5,6,1,7,8,9,10,2]=>000100001=>[4,5,1] [3,4,5,6,1,2,8,9,7]=>00010001=>[4,4,1] [3,4,5,6,7,1,8,9,10,2]=>000010001=>[5,4,1] [3,4,5,6,7,1,2,9,8]=>00001001=>[5,3,1] [3,4,5,6,7,8,1,9,10,2]=>000001001=>[6,3,1] [3,4,5,6,7,8,1,2,9]=>00000100=>[6,3] [3,4,5,6,7,8,9,1,10,2]=>000000101=>[7,2,1] [1,6,2,3,8,7,4,5]=>0100110=>[2,3,1,2] [1,7,4,3,2,8,6,5]=>0111011=>[2,1,1,2,1,1] [1,4,7,6,2,5,8,3]=>0011001=>[3,1,3,1] [1,2,6,5,3,7,4,8]=>0011010=>[3,1,2,2] [1,2,6,5,3,7,8,4]=>0011001=>[3,1,3,1] [1,3,7,5,2,6,8,4]=>0011001=>[3,1,3,1] [1,3,7,4,2,6,8,5]=>0011001=>[3,1,3,1] [1,2,6,4,3,7,8,5]=>0011001=>[3,1,3,1] [1,2,6,4,3,7,5,8]=>0011010=>[3,1,2,2] [1,4,7,3,2,5,8,6]=>0011001=>[3,1,3,1] [1,4,3,2,5,8,6,7]=>0110010=>[2,1,3,2] [1,5,3,2,4,8,6,7]=>0110010=>[2,1,3,2] [1,7,5,3,2,8,6,4]=>0111011=>[2,1,1,2,1,1] [1,5,3,2,4,8,7,6]=>0110011=>[2,1,3,1,1] [7,6,5,4,3,1,8,2]=>1111101=>[1,1,1,1,1,2,1] [6,8,5,4,3,2,1,7]=>0111110=>[2,1,1,1,1,2] [8,7,6,5,4,3,1,9,2]=>11111101=>[1,1,1,1,1,1,2,1] [7,9,6,5,4,3,2,1,8]=>01111110=>[2,1,1,1,1,1,2] [9,8,7,6,5,4,3,1,10,2]=>111111101=>[1,1,1,1,1,1,1,2,1] [1,7,6,5,4,3,9,8,2]=>01111011=>[2,1,1,1,2,1,1] [7,1,5,4,3,8,6,2]=>1011011=>[1,2,1,2,1,1] [3,6,5,4,8,1,7,2]=>0110101=>[2,1,2,2,1] [6,8,1,4,3,2,7,5]=>0101101=>[2,2,1,2,1] [2,8,5,4,3,7,1,6]=>0111010=>[2,1,1,2,2] [1,9,6,5,4,3,2,8,7]=>01111101=>[2,1,1,1,1,2,1] [8,10,7,6,5,4,3,2,1,9]=>011111110=>[2,1,1,1,1,1,1,2] [10,9,8,7,6,5,4,3,1,11,2]=>1111111101=>[1,1,1,1,1,1,1,1,2,1] [1,8,7,6,5,4,3,10,9,2]=>011111011=>[2,1,1,1,1,2,1,1] [8,1,6,5,4,3,9,7,2]=>10111011=>[1,2,1,1,2,1,1] [3,7,6,5,4,9,1,8,2]=>01110101=>[2,1,1,2,2,1] [7,6,1,4,3,8,5,2]=>1101011=>[1,1,2,2,1,1] [4,6,5,8,3,1,7,2]=>0101101=>[2,2,1,2,1] [6,8,5,1,3,2,7,4]=>0110101=>[2,1,2,2,1] [1,8,2,4,3,7,6,5]=>0101011=>[2,2,2,1,1] [7,9,1,5,4,3,2,8,6]=>01011101=>[2,2,1,1,2,1] [3,8,5,4,7,2,1,6]=>0110110=>[2,1,2,1,2] [2,9,6,5,4,3,8,1,7]=>01111010=>[2,1,1,1,2,2] [1,10,7,6,5,4,3,2,9,8]=>011111101=>[2,1,1,1,1,1,2,1] [9,11,8,7,6,5,4,3,2,1,10]=>0111111110=>[2,1,1,1,1,1,1,1,2] [11,10,9,8,7,6,5,4,3,1,12,2]=>11111111101=>[1,1,1,1,1,1,1,1,1,2,1] [1,9,8,7,6,5,4,3,11,10,2]=>0111111011=>[2,1,1,1,1,1,2,1,1] [9,1,7,6,5,4,3,10,8,2]=>101111011=>[1,2,1,1,1,2,1,1] [3,8,7,6,5,4,10,1,9,2]=>011110101=>[2,1,1,1,2,2,1] [8,7,1,5,4,3,9,6,2]=>11011011=>[1,1,2,1,2,1,1] [1,3,6,5,4,9,8,7,2]=>00110111=>[3,1,2,1,1,1] [4,7,6,5,9,3,1,8,2]=>01101101=>[2,1,2,1,2,1] [7,6,5,1,3,8,4,2]=>1110011=>[1,1,1,3,1,1] [1,6,3,4,8,7,5,2]=>0100111=>[2,3,1,1,1] [1,4,5,8,3,7,6,2]=>0001011=>[4,2,1,1] [6,8,5,4,1,2,7,3]=>0111001=>[2,1,1,3,1] [1,8,5,2,3,7,6,4]=>0110011=>[2,1,3,1,1] [7,9,6,1,4,3,2,8,5]=>01101101=>[2,1,2,1,2,1] [6,8,2,4,3,7,1,5]=>0101010=>[2,2,2,2] [1,8,3,4,7,2,6,5]=>0100101=>[2,3,2,1] [1,9,2,5,4,3,8,7,6]=>01011011=>[2,2,1,2,1,1] [8,10,1,6,5,4,3,2,9,7]=>010111101=>[2,2,1,1,1,2,1] [7,5,8,4,3,2,1,6]=>1011110=>[1,2,1,1,1,2] [4,8,5,7,3,2,1,6]=>0101110=>[2,2,1,1,2] [3,9,6,5,4,8,2,1,7]=>01110110=>[2,1,1,2,1,2] [2,10,7,6,5,4,3,9,1,8]=>011111010=>[2,1,1,1,1,2,2] [1,11,8,7,6,5,4,3,2,10,9]=>0111111101=>[2,1,1,1,1,1,1,2,1] [10,12,9,8,7,6,5,4,3,2,1,11]=>01111111110=>[2,1,1,1,1,1,1,1,1,2] [5,1,7,6,8,4,3,2]=>1010111=>[1,2,2,1,1,1] [6,4,8,5,2,7,1,3]=>1011010=>[1,2,1,2,2] [5,1,8,6,7,4,3,2]=>1010111=>[1,2,2,1,1,1] [8,4,7,5,2,6,1,3]=>1011010=>[1,2,1,2,2] [5,4,6,8,2,1,7,3]=>1001101=>[1,3,1,2,1] [6,4,5,8,1,2,7,3]=>1001001=>[1,3,3,1] [7,4,6,5,2,1,8,3]=>1011101=>[1,2,1,1,2,1] [8,4,6,5,2,1,7,3]=>1011101=>[1,2,1,1,2,1] [4,8,7,5,6,1,3,2]=>0110101=>[2,1,2,2,1] [2,7,5,1,8,4,3,6]=>0110110=>[2,1,2,1,2] [5,1,8,7,4,2,3,6]=>1011100=>[1,2,1,1,3] [2,8,6,7,4,3,5,1]=>0101101=>[2,2,1,2,1] [3,6,5,2,4,1,8,7]=>0110101=>[2,1,2,2,1] [5,2,3,6,4,1,8,7]=>1001101=>[1,3,1,2,1] [6,1,4,5,3,2,8,7]=>1001101=>[1,3,1,2,1] [3,8,7,1,4,6,5,2]=>0110011=>[2,1,3,1,1] [5,7,1,2,4,3,8,6]=>0100101=>[2,3,2,1] [4,3,7,6,8,2,5,1]=>1010101=>[1,2,2,2,1] [5,3,6,8,1,7,2,4]=>1001010=>[1,3,2,2] [3,2,6,8,5,7,1,4]=>1001010=>[1,3,2,2] [6,3,7,2,4,8,5,1]=>1010011=>[1,2,3,1,1] [7,4,8,6,5,2,1,3]=>1011110=>[1,2,1,1,1,2] [7,1,8,2,5,4,3,6]=>1010110=>[1,2,2,1,2] [2,5,3,7,4,1,8,6]=>0101101=>[2,2,1,2,1] [3,6,4,7,5,1,8,2]=>0101101=>[2,2,1,2,1] [8,4,7,6,2,3,1,5]=>1011010=>[1,2,1,2,2] [8,4,7,1,2,5,6,3]=>1010001=>[1,2,4,1] [4,2,8,7,3,5,6,1]=>1011001=>[1,2,1,3,1] [8,1,7,4,2,5,6,3]=>1011001=>[1,2,1,3,1] [7,4,3,8,2,5,6,1]=>1101001=>[1,1,2,3,1] [6,4,1,5,8,2,7,3]=>1100101=>[1,1,3,2,1] [2,5,8,7,3,6,1,4]=>0011010=>[3,1,2,2] [2,1,5,8,7,4,6,3]=>1001101=>[1,3,1,2,1] [8,3,5,6,7,4,1,2]=>1000110=>[1,4,1,2] [7,4,3,2,8,5,6,1]=>1110101=>[1,1,1,2,2,1] [4,2,7,1,8,5,6,3]=>1010101=>[1,2,2,2,1] [4,1,7,2,8,5,6,3]=>1010101=>[1,2,2,2,1] [2,4,8,7,3,5,6,1]=>0011001=>[3,1,3,1] [4,7,8,3,1,5,6,2]=>0011001=>[3,1,3,1] [3,4,7,2,8,5,6,1]=>0010101=>[3,2,2,1] [3,7,1,4,8,5,6,2]=>0100101=>[2,3,2,1] [7,2,3,4,8,5,6,1]=>1000101=>[1,4,2,1] [6,1,8,5,2,7,4,3]=>1011011=>[1,2,1,2,1,1] [2,1,7,4,5,8,6,3]=>1010011=>[1,2,3,1,1] [2,1,8,3,6,7,5,4]=>1010011=>[1,2,3,1,1] [8,2,1,6,4,7,5,3]=>1101011=>[1,1,2,2,1,1] [7,8,2,6,4,1,5,3]=>0101101=>[2,2,1,2,1] [2,6,3,5,8,7,1,4]=>0100110=>[2,3,1,2] [7,6,2,1,5,8,4,3]=>1110011=>[1,1,1,3,1,1] [4,5,2,7,6,1,8,3]=>0101101=>[2,2,1,2,1] [5,1,6,8,4,7,2,3]=>1001010=>[1,3,2,2] [3,6,8,7,5,2,1,4]=>0011110=>[3,1,1,1,2] [7,4,8,6,5,2,3,1]=>1011101=>[1,2,1,1,2,1] [8,1,6,4,7,3,2,5]=>1010110=>[1,2,2,1,2] [7,6,4,1,2,3,8,5]=>1110001=>[1,1,1,4,1] [2,6,4,8,5,3,7,1]=>0101101=>[2,2,1,2,1] [7,3,5,8,4,2,1,6]=>1001110=>[1,3,1,1,2] [3,2,5,8,4,1,7,6]=>1001101=>[1,3,1,2,1] [8,4,7,1,5,2,3,6]=>1010100=>[1,2,2,3] [4,8,7,5,6,1,2,3]=>0110100=>[2,1,2,3] [6,1,4,8,7,3,5,2]=>1001101=>[1,3,1,2,1] [7,2,8,4,3,5,6,1]=>1011001=>[1,2,1,3,1] [4,7,8,1,3,5,6,2]=>0010001=>[3,4,1] [8,7,3,4,1,5,6,2]=>1101001=>[1,1,2,3,1] [4,8,2,7,3,5,6,1]=>0101001=>[2,2,3,1] [3,1,8,7,2,5,6,4]=>1011001=>[1,2,1,3,1] [3,8,1,7,2,5,6,4]=>0101001=>[2,2,3,1] [8,2,3,7,1,5,6,4]=>1001001=>[1,3,3,1] [6,4,8,7,1,3,2,5]=>1011010=>[1,2,1,2,2] [2,8,4,6,7,3,1,5]=>0100110=>[2,3,1,2] [4,3,8,2,7,6,1,5]=>1010110=>[1,2,2,1,2] [6,8,4,2,1,3,7,5]=>0111001=>[2,1,1,3,1] [7,8,2,4,3,5,6,1]=>0101001=>[2,2,3,1] [2,8,3,7,1,5,6,4]=>0101001=>[2,2,3,1] [8,1,2,7,3,5,6,4]=>1001001=>[1,3,3,1] [6,4,1,3,2,8,5,7]=>1101010=>[1,1,2,2,2] [5,3,8,6,2,1,4,7]=>1011100=>[1,2,1,1,3] [4,6,5,2,8,3,1,7]=>0110110=>[2,1,2,1,2] [4,3,7,5,1,8,2,6]=>1011010=>[1,2,1,2,2] [6,8,5,2,7,4,3,1]=>0110111=>[2,1,2,1,1,1] [7,2,5,4,3,8,1,6]=>1011010=>[1,2,1,2,2] [3,6,8,1,4,5,2,7]=>0010010=>[3,3,2] [6,8,1,2,4,5,3,7]=>0100010=>[2,4,2] [8,1,6,2,4,5,3,7]=>1010010=>[1,2,3,2] [3,8,6,1,2,5,4,7]=>0110010=>[2,1,3,2] [5,8,1,6,2,3,4,7]=>0101000=>[2,2,4] [4,1,6,5,8,2,3,7]=>1010100=>[1,2,2,3] [4,3,8,6,2,5,1,7]=>1011010=>[1,2,1,2,2] [8,3,6,1,4,5,2,7]=>1010010=>[1,2,3,2] [2,3,6,8,4,5,1,7]=>0001010=>[4,2,2] [2,7,5,4,3,8,1,6]=>0111010=>[2,1,1,2,2] [6,3,8,7,4,2,5,1]=>1011101=>[1,2,1,1,2,1] [5,8,4,3,7,6,1,2]=>0110110=>[2,1,2,1,2] [8,7,4,3,1,6,2,5]=>1111010=>[1,1,1,1,2,2] [1,7,4,3,8,6,2,5]=>0110110=>[2,1,2,1,2] [7,1,5,3,4,8,2,6]=>1010010=>[1,2,3,2] [2,8,6,1,7,4,5,3]=>0110101=>[2,1,2,2,1] [4,8,6,5,7,2,1,3]=>0110110=>[2,1,2,1,2] [4,7,6,8,2,1,5,3]=>0101101=>[2,2,1,2,1] [6,1,8,7,4,3,5,2]=>1011101=>[1,2,1,1,2,1] [8,5,4,3,1,6,7,2]=>1111001=>[1,1,1,1,3,1] [1,5,8,6,3,4,7,2]=>0011001=>[3,1,3,1] [2,5,8,6,3,4,7,1]=>0011001=>[3,1,3,1] [4,1,3,8,5,6,7,2]=>1001001=>[1,3,3,1] [6,5,8,4,3,1,7,2]=>1011101=>[1,2,1,1,2,1] [4,6,5,2,8,1,7,3]=>0110101=>[2,1,2,2,1] [7,2,8,1,3,6,4,5]=>1010010=>[1,2,3,2] [1,8,5,2,3,6,7,4]=>0110001=>[2,1,4,1] [1,8,3,2,5,6,7,4]=>0110001=>[2,1,4,1] [2,8,3,1,5,6,7,4]=>0110001=>[2,1,4,1] [4,8,3,2,5,6,7,1]=>0110001=>[2,1,4,1] [8,2,3,1,5,6,7,4]=>1010001=>[1,2,4,1] [2,1,8,3,5,6,7,4]=>1010001=>[1,2,4,1] [1,4,8,2,3,6,7,5]=>0010001=>[3,4,1] [3,1,2,7,8,6,4,5]=>1000110=>[1,4,1,2] [7,5,1,8,2,4,3,6]=>1101010=>[1,1,2,2,2] [3,5,8,1,2,4,7,6]=>0010001=>[3,4,1] [4,5,8,1,2,3,7,6]=>0010001=>[3,4,1] [4,2,7,1,8,6,3,5]=>1010110=>[1,2,2,1,2] [3,8,4,1,2,6,7,5]=>0110001=>[2,1,4,1] [5,4,8,2,3,6,7,1]=>1010001=>[1,2,4,1] [5,8,3,6,7,4,1,2]=>0100110=>[2,3,1,2] [2,3,1,6,8,4,7,5]=>0100101=>[2,3,2,1] [2,4,3,7,1,8,5,6]=>0101010=>[2,2,2,2] [1,4,7,3,2,8,5,6]=>0011010=>[3,1,2,2] [2,7,1,4,3,8,5,6]=>0101010=>[2,2,2,2] [2,4,1,8,6,3,7,5]=>0101101=>[2,2,1,2,1] [8,4,1,3,6,2,7,5]=>1100101=>[1,1,3,2,1] [6,8,5,1,7,2,3,4]=>0110100=>[2,1,2,3] [7,3,6,5,8,2,1,4]=>1010110=>[1,2,2,1,2] [7,6,3,5,8,2,1,4]=>1100110=>[1,1,3,1,2] [4,5,8,7,3,6,1,2]=>0011010=>[3,1,2,2] [3,5,2,8,6,1,7,4]=>0101101=>[2,2,1,2,1] [8,2,5,6,1,4,7,3]=>1001001=>[1,3,3,1] [8,6,5,4,1,2,7,3]=>1111001=>[1,1,1,1,3,1] [2,6,1,8,3,7,5,4]=>0101011=>[2,2,2,1,1] [4,7,1,6,2,8,5,3]=>0101011=>[2,2,2,1,1] [6,1,5,3,8,7,2,4]=>1010110=>[1,2,2,1,2] [2,8,6,3,7,1,5,4]=>0110101=>[2,1,2,2,1] [7,6,1,5,8,2,3,4]=>1100100=>[1,1,3,3] [3,6,8,5,1,2,7,4]=>0011001=>[3,1,3,1] [6,5,2,4,8,1,7,3]=>1100101=>[1,1,3,2,1] [5,1,4,8,2,6,7,3]=>1001001=>[1,3,3,1] [4,8,2,5,1,6,7,3]=>0101001=>[2,2,3,1] [3,4,8,5,2,6,7,1]=>0011001=>[3,1,3,1] [4,2,1,8,5,6,7,3]=>1101001=>[1,1,2,3,1] [1,5,4,8,2,6,7,3]=>0101001=>[2,2,3,1] [7,2,1,5,8,6,3,4]=>1100110=>[1,1,3,1,2] [2,8,4,5,1,6,7,3]=>0101001=>[2,2,3,1] [5,4,8,3,7,6,1,2]=>1010110=>[1,2,2,1,2] [3,1,5,8,6,2,7,4]=>1001101=>[1,3,1,2,1] [6,3,4,8,5,1,7,2]=>1001101=>[1,3,1,2,1] [5,3,4,8,1,6,7,2]=>1001001=>[1,3,3,1] [7,6,1,2,8,3,5,4]=>1100101=>[1,1,3,2,1] [7,5,8,4,1,2,6,3]=>1011001=>[1,2,1,3,1] [7,5,8,4,6,1,3,2]=>1010101=>[1,2,2,2,1] [6,5,4,8,7,1,3,2]=>1101101=>[1,1,2,1,2,1] [6,5,4,8,1,2,7,3]=>1101001=>[1,1,2,3,1] [7,5,1,6,2,3,8,4]=>1101001=>[1,1,2,3,1] [7,5,1,6,8,2,4,3]=>1100101=>[1,1,3,2,1] [6,5,4,1,8,2,7,3]=>1110101=>[1,1,1,2,2,1] [6,5,4,7,1,2,8,3]=>1101001=>[1,1,2,3,1] [6,5,4,7,8,1,3,2]=>1100101=>[1,1,3,2,1] [6,5,3,7,1,4,2,8]=>1101010=>[1,1,2,2,2] [6,5,3,1,8,4,2,7]=>1110110=>[1,1,1,2,1,2] [7,5,1,4,8,3,2,6]=>1100110=>[1,1,3,1,2] [8,1,6,4,7,3,5,2]=>1010101=>[1,2,2,2,1] [7,5,1,4,8,3,6,2]=>1100101=>[1,1,3,2,1] [6,5,3,7,1,4,8,2]=>1101001=>[1,1,2,3,1] [6,4,3,1,5,8,7,2]=>1110011=>[1,1,1,3,1,1] [7,4,1,5,3,8,6,2]=>1101011=>[1,1,2,2,1,1] [8,1,5,4,3,7,6,2]=>1011011=>[1,2,1,2,1,1] [8,1,5,4,3,7,2,6]=>1011010=>[1,2,1,2,2] [7,4,1,5,3,8,2,6]=>1101010=>[1,1,2,2,2] [7,4,1,5,3,2,6,8]=>1101100=>[1,1,2,1,3] [8,1,5,4,3,2,6,7]=>1011100=>[1,2,1,1,3] [8,1,6,4,2,5,3,7]=>1011010=>[1,2,1,2,2] [6,5,3,1,2,7,4,8]=>1110010=>[1,1,1,3,2] [6,5,3,8,1,4,2,7]=>1101010=>[1,1,2,2,2] [7,6,8,1,4,3,2,5]=>1010110=>[1,2,2,1,2] [8,1,7,2,5,4,3,6]=>1010110=>[1,2,2,1,2] [8,1,7,2,5,4,6,3]=>1010101=>[1,2,2,2,1] [7,6,1,2,5,4,8,3]=>1100101=>[1,1,3,2,1] [6,5,3,8,1,4,7,2]=>1101001=>[1,1,2,3,1] [6,5,3,1,2,7,8,4]=>1110001=>[1,1,1,4,1] [7,5,1,4,2,6,8,3]=>1101001=>[1,1,2,3,1] [8,1,6,4,2,5,7,3]=>1011001=>[1,2,1,3,1] [7,4,1,5,3,2,8,6]=>1101101=>[1,1,2,1,2,1] [6,4,3,1,5,2,8,7]=>1110101=>[1,1,1,2,2,1] [6,4,3,1,5,7,2,8]=>1110010=>[1,1,1,3,2] [7,4,1,5,3,6,2,8]=>1101010=>[1,1,2,2,2] [8,1,5,4,3,6,2,7]=>1011010=>[1,2,1,2,2] [8,1,5,4,3,6,7,2]=>1011001=>[1,2,1,3,1] [7,4,1,5,3,6,8,2]=>1101001=>[1,1,2,3,1] [6,4,3,1,5,7,8,2]=>1110001=>[1,1,1,4,1] [6,7,3,8,4,5,1,2]=>0101010=>[2,2,2,2] [6,7,4,5,1,8,2,3]=>0101010=>[2,2,2,2] [4,7,5,6,2,3,1,8]=>0101010=>[2,2,2,2] [4,7,5,6,1,8,2,3]=>0101010=>[2,2,2,2] [4,7,5,6,3,8,1,2]=>0101010=>[2,2,2,2] [3,7,5,8,4,6,1,2]=>0101010=>[2,2,2,2] [4,5,3,8,6,7,1,2]=>0101010=>[2,2,2,2] [4,8,3,6,5,7,1,2]=>0101010=>[2,2,2,2] [5,6,4,7,1,8,2,3]=>0101010=>[2,2,2,2] [5,6,1,7,3,8,2,4]=>0101010=>[2,2,2,2] [5,6,1,8,2,7,3,4]=>0101010=>[2,2,2,2] [5,6,1,8,4,7,2,3]=>0101010=>[2,2,2,2] [4,8,1,6,5,7,2,3]=>0101010=>[2,2,2,2] [4,5,1,8,6,7,2,3]=>0101010=>[2,2,2,2] [7,8,4,5,1,6,2,3]=>0101010=>[2,2,2,2] [4,8,2,3,1,6,5,7]=>0101010=>[2,2,2,2] [5,6,2,8,1,4,3,7]=>0101010=>[2,2,2,2] [5,6,3,4,1,8,2,7]=>0101010=>[2,2,2,2] [3,6,4,5,2,7,1,8]=>0101010=>[2,2,2,2] [3,6,4,5,1,8,2,7]=>0101010=>[2,2,2,2] [2,6,4,8,1,5,3,7]=>0101010=>[2,2,2,2] [2,8,3,6,1,5,4,7]=>0101010=>[2,2,2,2] [2,8,3,4,1,6,5,7]=>0101010=>[2,2,2,2] [7,8,2,5,3,4,1,6]=>0101010=>[2,2,2,2] [7,8,1,5,3,6,2,4]=>0101010=>[2,2,2,2] [1,5,3,8,6,7,2,4]=>0101010=>[2,2,2,2] [1,8,3,6,2,7,4,5]=>0101010=>[2,2,2,2] [1,6,4,8,2,7,3,5]=>0101010=>[2,2,2,2] [2,6,4,7,3,5,1,8]=>0101010=>[2,2,2,2] [2,7,3,6,4,5,1,8]=>0101010=>[2,2,2,2] [1,7,3,6,4,8,2,5]=>0101010=>[2,2,2,2] [1,7,2,8,4,6,3,5]=>0101010=>[2,2,2,2] [1,7,5,8,4,6,2,3]=>0101010=>[2,2,2,2] [1,7,5,8,2,6,3,4]=>0101010=>[2,2,2,2] [1,7,5,6,3,8,2,4]=>0101010=>[2,2,2,2] [2,7,5,6,3,4,1,8]=>0101010=>[2,2,2,2] [6,7,2,5,3,4,1,8]=>0101010=>[2,2,2,2] [6,7,1,5,3,8,2,4]=>0101010=>[2,2,2,2] [6,7,5,8,1,4,2,3]=>0101010=>[2,2,2,2] [5,8,6,7,2,3,1,4]=>0101010=>[2,2,2,2] [6,7,2,3,1,8,4,5]=>0101010=>[2,2,2,2] [6,7,2,8,1,4,3,5]=>0101010=>[2,2,2,2] [3,4,2,7,5,6,1,8]=>0101010=>[2,2,2,2] [3,4,1,7,5,8,2,6]=>0101010=>[2,2,2,2] [2,7,5,8,1,4,3,6]=>0101010=>[2,2,2,2] [2,3,1,7,5,8,4,6]=>0101010=>[2,2,2,2] [2,3,1,8,4,7,5,6]=>0101010=>[2,2,2,2] [7,8,2,3,1,6,4,5]=>0101010=>[2,2,2,2] [7,8,2,6,1,4,3,5]=>0101010=>[2,2,2,2] [2,8,6,7,1,4,3,5]=>0101010=>[2,2,2,2] [2,8,1,4,3,7,5,6]=>0101010=>[2,2,2,2] [3,7,2,5,4,6,1,8]=>0101010=>[2,2,2,2] [4,5,2,7,3,6,1,8]=>0101010=>[2,2,2,2] [4,5,1,8,2,7,3,6]=>0101010=>[2,2,2,2] [3,4,1,8,2,7,5,6]=>0101010=>[2,2,2,2] [3,4,1,8,6,7,2,5]=>0101010=>[2,2,2,2] [3,4,2,5,1,8,6,7]=>0101010=>[2,2,2,2] [3,4,2,8,1,6,5,7]=>0101010=>[2,2,2,2] [3,8,2,5,1,6,4,7]=>0101010=>[2,2,2,2] [4,5,2,8,1,6,3,7]=>0101010=>[2,2,2,2] [4,5,3,6,1,8,2,7]=>0101010=>[2,2,2,2] [8,6,7,1,4,2,5,3]=>1010101=>[1,2,2,2,1] [8,6,3,7,5,1,2,4]=>1101100=>[1,1,2,1,3] [7,6,1,8,3,5,2,4]=>1101010=>[1,1,2,2,2] [7,6,2,8,3,5,1,4]=>1101010=>[1,1,2,2,2] [7,6,2,3,8,5,1,4]=>1100110=>[1,1,3,1,2] [8,7,1,5,2,6,3,4]=>1101010=>[1,1,2,2,2] [8,7,1,5,2,3,6,4]=>1101001=>[1,1,2,3,1] [8,5,2,3,1,7,6,4]=>1101011=>[1,1,2,2,1,1] [8,6,2,3,7,1,5,4]=>1100101=>[1,1,3,2,1] [8,6,2,7,3,1,5,4]=>1101101=>[1,1,2,1,2,1] [8,7,2,5,1,6,3,4]=>1101010=>[1,1,2,2,2] [8,4,2,1,7,6,3,5]=>1110110=>[1,1,1,2,1,2] [8,5,7,2,1,4,3,6]=>1011010=>[1,2,1,2,2] [5,8,7,3,1,4,2,6]=>0111010=>[2,1,1,2,2] [5,8,7,3,1,4,6,2]=>0111001=>[2,1,1,3,1] [8,5,7,2,1,4,6,3]=>1011001=>[1,2,1,3,1] [8,4,2,1,3,7,6,5]=>1110011=>[1,1,1,3,1,1] [8,4,3,1,7,2,6,5]=>1110101=>[1,1,1,2,2,1] [8,6,1,3,7,2,5,4]=>1100101=>[1,1,3,2,1] [8,5,1,3,2,7,6,4]=>1101011=>[1,1,2,2,1,1] [6,1,5,8,4,2,7,3]=>1001101=>[1,3,1,2,1] [5,2,8,6,4,1,3,7]=>1011100=>[1,2,1,1,3] [8,4,7,5,1,6,2,3]=>1011010=>[1,2,1,2,2] [8,4,7,5,1,2,3,6]=>1011000=>[1,2,1,4] [8,7,3,5,1,2,6,4]=>1101001=>[1,1,2,3,1] [8,3,2,6,5,1,4,7]=>1101100=>[1,1,2,1,3] [4,8,6,3,5,1,2,7]=>0110100=>[2,1,2,3] [4,8,7,3,1,5,2,6]=>0111010=>[2,1,1,2,2] [8,4,7,2,1,5,3,6]=>1011010=>[1,2,1,2,2] [8,7,3,1,4,2,6,5]=>1110101=>[1,1,1,2,2,1] [8,7,3,1,2,6,4,5]=>1110010=>[1,1,1,3,2] [8,7,3,1,2,4,6,5]=>1110001=>[1,1,1,4,1] [8,3,2,1,4,7,6,5]=>1110011=>[1,1,1,3,1,1] [8,3,2,1,7,4,6,5]=>1110101=>[1,1,1,2,2,1] [8,3,2,7,1,5,6,4]=>1101001=>[1,1,2,3,1] [8,4,7,2,1,5,6,3]=>1011001=>[1,2,1,3,1] [8,7,2,1,6,3,4,5]=>1110100=>[1,1,1,2,3] [3,6,5,4,1,2,8,7]=>0111001=>[2,1,1,3,1] [3,8,5,6,7,4,1,2]=>0100110=>[2,3,1,2] [4,7,5,8,6,2,1,3]=>0101110=>[2,2,1,1,2] [2,5,7,8,6,3,4,1]=>0001101=>[4,1,2,1] [4,8,5,7,6,3,1,2]=>0101110=>[2,2,1,1,2] [4,6,3,2,1,5,8,7]=>0111001=>[2,1,1,3,1] [6,2,1,5,3,4,8,7]=>1101001=>[1,1,2,3,1] [5,8,1,3,7,6,4,2]=>0100111=>[2,3,1,1,1] [4,7,2,3,6,1,8,5]=>0100101=>[2,3,2,1] [3,7,4,2,8,1,5,6]=>0110100=>[2,1,2,3] [4,2,6,8,5,7,3,1]=>1001011=>[1,3,2,1,1] [6,4,2,7,3,8,5,1]=>1101011=>[1,1,2,2,1,1] [8,1,6,7,5,3,4,2]=>1001101=>[1,3,1,2,1] [2,1,5,8,7,6,3,4]=>1001110=>[1,3,1,1,2] [2,1,4,7,6,3,8,5]=>1001101=>[1,3,1,2,1] [6,4,7,8,5,3,2,1]=>1001111=>[1,3,1,1,1,1] [4,1,3,7,6,2,8,5]=>1001101=>[1,3,1,2,1] [8,5,1,6,3,2,7,4]=>1101101=>[1,1,2,1,2,1] [6,3,7,1,5,2,8,4]=>1010101=>[1,2,2,2,1] [3,2,6,8,4,7,5,1]=>1001011=>[1,3,2,1,1] [8,4,6,1,3,2,5,7]=>1010100=>[1,2,2,3] [4,2,8,6,7,3,1,5]=>1010110=>[1,2,2,1,2] [7,4,3,8,2,1,5,6]=>1101100=>[1,1,2,1,3] [4,7,5,8,1,6,3,2]=>0101011=>[2,2,2,1,1] [6,4,3,2,7,8,1,5]=>1110010=>[1,1,1,3,2] [4,2,5,1,6,7,8,3]=>1010001=>[1,2,4,1] [2,4,8,5,7,1,3,6]=>0010100=>[3,2,3] [3,7,1,4,6,8,5,2]=>0100011=>[2,4,1,1] [7,8,2,5,6,1,4,3]=>0100101=>[2,3,2,1] [2,4,3,8,7,5,6,1]=>0101101=>[2,2,1,2,1] [2,6,7,3,5,1,8,4]=>0010101=>[3,2,2,1] [7,6,8,4,2,5,3,1]=>1011011=>[1,2,1,2,1,1] [8,5,7,1,6,3,2,4]=>1010110=>[1,2,2,1,2] [6,5,7,2,8,4,3,1]=>1010111=>[1,2,2,1,1,1] [3,4,8,6,5,2,1,7]=>0011110=>[3,1,1,1,2] [2,7,6,1,4,5,8,3]=>0110001=>[2,1,4,1] [6,5,8,2,1,7,3,4]=>1011010=>[1,2,1,2,2] [7,4,3,5,1,6,8,2]=>1101001=>[1,1,2,3,1] [4,1,6,3,5,8,7,2]=>1010011=>[1,2,3,1,1] [6,2,5,8,4,3,7,1]=>1001101=>[1,3,1,2,1] [8,6,7,1,5,4,3,2]=>1010111=>[1,2,2,1,1,1] [2,1,6,5,8,4,7,3]=>1010101=>[1,2,2,2,1] [2,1,6,8,5,4,3,7]=>1001110=>[1,3,1,1,2] [4,1,8,5,6,2,3,7]=>1010100=>[1,2,2,3] [2,6,4,8,7,3,5,1]=>0101101=>[2,2,1,2,1] [6,2,8,4,3,5,1,7]=>1011010=>[1,2,1,2,2] [4,8,2,7,6,1,3,5]=>0101100=>[2,2,1,3] [3,1,8,2,7,5,4,6]=>1010110=>[1,2,2,1,2] [3,8,1,2,6,7,4,5]=>0100010=>[2,4,2] [5,8,4,3,2,7,1,6]=>0111010=>[2,1,1,2,2] [7,4,8,6,3,2,5,1]=>1011101=>[1,2,1,1,2,1] [5,8,4,7,2,1,3,6]=>0101100=>[2,2,1,3] [2,1,8,4,3,7,5,6]=>1011010=>[1,2,1,2,2] [6,3,8,2,4,5,7,1]=>1010001=>[1,2,4,1] [5,8,4,2,3,6,1,7]=>0110010=>[2,1,3,2] [5,8,2,4,3,1,6,7]=>0101100=>[2,2,1,3] [2,8,3,1,6,4,5,7]=>0110100=>[2,1,2,3] [8,2,1,3,4,7,5,6]=>1100010=>[1,1,4,2] [1,4,8,2,6,3,5,7]=>0010100=>[3,2,3] [1,2,7,3,5,4,8,6]=>0010101=>[3,2,2,1] [1,2,3,8,4,5,7,6]=>0001001=>[4,3,1] [1,2,8,3,4,5,7,6]=>0010001=>[3,4,1] [1,3,8,2,6,4,5,7]=>0010100=>[3,2,3] [1,5,7,2,3,6,4,8]=>0010010=>[3,3,2] [1,7,2,3,5,4,8,6]=>0100101=>[2,3,2,1] [1,3,8,2,4,5,7,6]=>0010001=>[3,4,1] [1,2,3,8,4,6,7,5]=>0001001=>[4,3,1] [1,8,2,3,5,4,6,7]=>0100100=>[2,3,3] [1,7,8,2,3,6,4,5]=>0010010=>[3,3,2] [1,6,7,8,2,3,5,4]=>0001001=>[4,3,1] [1,7,8,2,5,3,6,4]=>0010101=>[3,2,2,1] [1,7,8,2,4,5,3,6]=>0010010=>[3,3,2] [1,2,8,3,6,4,5,7]=>0010100=>[3,2,3] [1,8,2,3,6,4,5,7]=>0100100=>[2,3,3] [1,2,8,3,5,4,6,7]=>0010100=>[3,2,3] [1,2,7,8,3,6,4,5]=>0001010=>[4,2,2] [1,5,2,7,8,3,6,4]=>0100101=>[2,3,2,1] [1,3,2,8,4,6,7,5]=>0101001=>[2,2,3,1] [1,8,2,3,4,6,7,5]=>0100001=>[2,5,1] [1,7,8,2,4,3,6,5]=>0010101=>[3,2,2,1] [7,6,3,1,5,2,4,8]=>1110100=>[1,1,1,2,3] [6,7,3,1,5,2,8,4]=>0110101=>[2,1,2,2,1] [6,8,3,1,5,2,7,4]=>0110101=>[2,1,2,2,1] [6,8,4,5,1,2,7,3]=>0101001=>[2,2,3,1] [6,7,4,5,1,2,8,3]=>0101001=>[2,2,3,1] [7,2,1,6,5,3,4,8]=>1101100=>[1,1,2,1,3] [7,3,6,1,5,2,4,8]=>1010100=>[1,2,2,3] [7,4,6,5,1,2,3,8]=>1011000=>[1,2,1,4] [6,7,5,4,1,2,8,3]=>0111001=>[2,1,1,3,1] [5,8,6,4,1,7,2,3]=>0111010=>[2,1,1,2,2] [5,7,6,4,1,8,2,3]=>0111010=>[2,1,1,2,2] [5,6,7,4,1,8,2,3]=>0011010=>[3,1,2,2] [6,5,7,4,1,2,8,3]=>1011001=>[1,2,1,3,1] [6,4,7,5,1,2,8,3]=>1011001=>[1,2,1,3,1] [6,2,1,7,5,3,8,4]=>1101101=>[1,1,2,1,2,1] [6,3,8,1,5,2,7,4]=>1010101=>[1,2,2,2,1] [6,4,8,5,1,2,7,3]=>1011001=>[1,2,1,3,1] [6,5,8,4,1,2,7,3]=>1011001=>[1,2,1,3,1] [5,6,8,4,1,7,2,3]=>0011010=>[3,1,2,2] [4,6,8,5,7,1,2,3]=>0010100=>[3,2,3] [4,5,8,6,7,1,2,3]=>0010100=>[3,2,3] [5,4,8,6,1,7,2,3]=>1011010=>[1,2,1,2,2] [5,3,8,1,6,7,2,4]=>1010010=>[1,2,3,2] [5,2,1,8,6,7,3,4]=>1101010=>[1,1,2,2,2] [5,2,1,7,6,8,3,4]=>1101010=>[1,1,2,2,2] [5,4,7,6,1,8,2,3]=>1011010=>[1,2,1,2,2] [4,5,7,6,8,1,2,3]=>0010100=>[3,2,3] [4,6,7,5,8,1,2,3]=>0010100=>[3,2,3] [4,8,6,5,7,1,2,3]=>0110100=>[2,1,2,3] [4,8,5,6,7,1,2,3]=>0100100=>[2,3,3] [4,7,5,6,8,1,2,3]=>0100100=>[2,3,3] [4,6,5,7,8,1,2,3]=>0100100=>[2,3,3] [5,7,4,6,1,8,2,3]=>0101010=>[2,2,2,2] [5,8,4,6,1,7,2,3]=>0101010=>[2,2,2,2] [5,8,3,1,6,7,2,4]=>0110010=>[2,1,3,2] [5,7,3,1,6,8,2,4]=>0110010=>[2,1,3,2] [5,6,3,1,7,8,2,4]=>0110010=>[2,1,3,2] [6,2,1,4,3,8,7,5]=>1101011=>[1,1,2,2,1,1] [5,8,3,1,7,6,2,4]=>0110110=>[2,1,2,1,2] [5,7,4,8,1,6,2,3]=>0101010=>[2,2,2,2] [5,2,1,6,8,7,3,4]=>1100110=>[1,1,3,1,2] [5,4,6,8,1,7,2,3]=>1001010=>[1,3,2,2] [4,5,6,8,7,1,2,3]=>0001100=>[4,1,3] [4,7,5,8,6,1,2,3]=>0101100=>[2,2,1,3] [4,8,5,7,6,1,2,3]=>0101100=>[2,2,1,3] [4,8,6,7,5,1,2,3]=>0101100=>[2,2,1,3] [4,7,6,8,5,1,2,3]=>0101100=>[2,2,1,3] [4,6,7,8,5,1,2,3]=>0001100=>[4,1,3] [4,5,7,8,6,1,2,3]=>0001100=>[4,1,3] [5,4,7,8,1,6,2,3]=>1001010=>[1,3,2,2] [5,3,7,1,8,6,2,4]=>1010110=>[1,2,2,1,2] [5,2,1,7,8,6,3,4]=>1100110=>[1,1,3,1,2] [5,3,8,1,7,6,2,4]=>1010110=>[1,2,2,1,2] [5,4,8,7,1,6,2,3]=>1011010=>[1,2,1,2,2] [4,6,8,7,5,1,2,3]=>0011100=>[3,1,1,3] [4,7,8,6,5,1,2,3]=>0011100=>[3,1,1,3] [4,8,7,6,5,1,2,3]=>0111100=>[2,1,1,1,3] [2,5,4,7,3,6,1,8]=>0101010=>[2,2,2,2] [2,4,6,3,7,5,1,8]=>0010110=>[3,2,1,2] [4,2,7,3,6,5,1,8]=>1010110=>[1,2,2,1,2] [4,2,6,3,1,5,8,7]=>1011001=>[1,2,1,3,1] [2,5,3,1,6,4,8,7]=>0110101=>[2,1,2,2,1] [2,5,3,7,6,4,1,8]=>0101110=>[2,2,1,1,2] [2,6,5,3,7,4,1,8]=>0110110=>[2,1,2,1,2] [4,2,7,6,3,5,1,8]=>1011010=>[1,2,1,2,2] [2,7,5,3,6,4,1,8]=>0110110=>[2,1,2,1,2] [2,6,3,7,5,4,1,8]=>0101110=>[2,2,1,1,2] [1,7,5,2,3,8,4,6]=>0110010=>[2,1,3,2] [2,1,3,7,5,4,8,6]=>1001101=>[1,3,1,2,1] [2,3,1,8,6,5,4,7]=>0101110=>[2,2,1,1,2] [2,5,3,1,8,6,4,7]=>0110110=>[2,1,2,1,2] [4,2,8,3,1,6,5,7]=>1011010=>[1,2,1,2,2] [8,3,2,6,4,1,5,7]=>1101100=>[1,1,2,1,3] [3,6,8,2,1,4,5,7]=>0011000=>[3,1,4] [1,5,2,8,3,4,7,6]=>0101001=>[2,2,3,1] [1,2,6,3,8,7,4,5]=>0010110=>[3,2,1,2] [1,2,8,3,6,4,7,5]=>0010101=>[3,2,2,1] [1,2,7,6,3,4,8,5]=>0011001=>[3,1,3,1] [2,1,3,8,7,5,4,6]=>1001110=>[1,3,1,1,2] [1,2,3,8,6,4,7,5]=>0001101=>[4,1,2,1] [1,2,3,7,4,8,6,5]=>0001011=>[4,2,1,1] [1,2,7,6,3,8,4,5]=>0011010=>[3,1,2,2] [1,2,3,6,4,8,7,5]=>0001011=>[4,2,1,1] [1,2,3,7,6,4,8,5]=>0001101=>[4,1,2,1] [2,6,3,1,8,5,4,7]=>0110110=>[2,1,2,1,2] [2,1,3,8,5,4,7,6]=>1001101=>[1,3,1,2,1] [7,1,8,4,2,3,5,6]=>1011000=>[1,2,1,4] [2,1,8,4,3,5,7,6]=>1011001=>[1,2,1,3,1] [4,2,6,3,1,8,5,7]=>1011010=>[1,2,1,2,2] [5,4,2,8,3,1,6,7]=>1101100=>[1,1,2,1,3] [3,5,8,2,4,1,6,7]=>0010100=>[3,2,3] [2,5,4,8,3,1,6,7]=>0101100=>[2,2,1,3] [4,2,1,8,3,5,7,6]=>1101001=>[1,1,2,3,1] [1,8,7,4,2,3,5,6]=>0111000=>[2,1,1,4] [1,5,2,8,7,3,4,6]=>0101100=>[2,2,1,3] [1,2,7,3,6,4,8,5]=>0010101=>[3,2,2,1] [1,2,8,6,3,7,4,5]=>0011010=>[3,1,2,2] [1,2,7,3,8,6,4,5]=>0010110=>[3,2,1,2] [1,2,3,8,4,7,6,5]=>0001011=>[4,2,1,1] [1,2,7,3,4,8,6,5]=>0010011=>[3,3,1,1] [1,2,6,3,8,4,7,5]=>0010101=>[3,2,2,1] [1,5,2,3,8,7,4,6]=>0100110=>[2,3,1,2] [4,2,1,8,3,7,5,6]=>1101010=>[1,1,2,2,2] [8,3,2,1,7,4,5,6]=>1110100=>[1,1,1,2,3] [1,8,4,2,7,3,5,6]=>0110100=>[2,1,2,3] [1,2,8,6,3,4,7,5]=>0011001=>[3,1,3,1] [1,2,7,3,8,4,6,5]=>0010101=>[3,2,2,1] [1,2,3,8,7,4,6,5]=>0001101=>[4,1,2,1] [1,2,3,8,7,6,4,5]=>0001110=>[4,1,1,2] [2,5,3,8,1,6,4,7]=>0101010=>[2,2,2,2] [2,6,4,7,1,5,3,8]=>0101010=>[2,2,2,2] [2,6,5,7,1,4,3,8]=>0101010=>[2,2,2,2] [3,8,5,7,1,2,6,4]=>0101001=>[2,2,3,1] [3,8,5,7,2,6,4,1]=>0101011=>[2,2,2,1,1] [3,4,8,6,2,5,7,1]=>0011001=>[3,1,3,1] [3,4,8,6,1,2,5,7]=>0011000=>[3,1,4] [2,5,7,1,4,8,6,3]=>0010011=>[3,3,1,1] [2,4,8,1,5,7,6,3]=>0010011=>[3,3,1,1] [2,4,3,8,1,6,5,7]=>0101010=>[2,2,2,2] [2,8,1,7,5,6,4,3]=>0101011=>[2,2,2,1,1] [2,3,8,1,6,5,7,4]=>0010101=>[3,2,2,1] [2,4,8,1,3,5,7,6]=>0010001=>[3,4,1] [3,5,7,6,1,2,4,8]=>0011000=>[3,1,4] [3,5,7,6,2,4,8,1]=>0011001=>[3,1,3,1] [4,8,6,7,2,3,5,1]=>0101001=>[2,2,3,1] [4,8,6,7,1,2,3,5]=>0101000=>[2,2,4] [4,8,6,7,1,3,5,2]=>0101001=>[2,2,3,1] [3,4,8,6,1,5,7,2]=>0011001=>[3,1,3,1] [3,8,5,7,1,6,4,2]=>0101011=>[2,2,2,1,1] [3,2,8,5,6,1,7,4]=>1010101=>[1,2,2,2,1] [3,8,5,7,2,1,6,4]=>0101101=>[2,2,1,2,1] [3,4,8,6,2,1,5,7]=>0011100=>[3,1,1,3] [3,5,7,6,2,1,4,8]=>0011100=>[3,1,1,3] [4,8,6,7,2,1,3,5]=>0101100=>[2,2,1,3] [4,8,6,7,3,5,2,1]=>0101011=>[2,2,2,1,1] [5,8,6,7,3,4,2,1]=>0101011=>[2,2,2,1,1] [5,8,6,7,2,1,3,4]=>0101100=>[2,2,1,3] [5,8,6,7,2,1,4,3]=>0101101=>[2,2,1,2,1] [4,8,6,7,2,1,5,3]=>0101101=>[2,2,1,2,1] [4,3,1,7,5,2,8,6]=>1101101=>[1,1,2,1,2,1] [4,3,2,8,5,1,7,6]=>1101101=>[1,1,2,1,2,1] [4,3,8,5,1,6,7,2]=>1011001=>[1,2,1,3,1] [4,8,6,7,1,5,3,2]=>0101011=>[2,2,2,1,1] [5,8,6,7,1,4,3,2]=>0101011=>[2,2,2,1,1] [5,8,6,7,2,3,4,1]=>0101001=>[2,2,3,1] [5,8,6,7,2,4,3,1]=>0101011=>[2,2,2,1,1] [5,8,6,7,1,2,4,3]=>0101001=>[2,2,3,1] [4,2,3,8,5,1,6,7]=>1001100=>[1,3,1,3] [4,2,8,5,1,7,6,3]=>1011011=>[1,2,1,2,1,1] [3,4,2,8,5,6,1,7]=>0101010=>[2,2,2,2] [3,2,4,8,6,1,5,7]=>1001100=>[1,3,1,3] [3,2,5,7,6,1,4,8]=>1001100=>[1,3,1,3] [4,8,6,7,1,3,2,5]=>0101010=>[2,2,2,2] [4,8,6,7,1,2,5,3]=>0101001=>[2,2,3,1] [4,8,6,7,2,5,3,1]=>0101011=>[2,2,2,1,1] [4,3,8,5,2,6,7,1]=>1011001=>[1,2,1,3,1] [4,3,8,5,1,2,6,7]=>1011000=>[1,2,1,4] [4,2,6,7,5,1,3,8]=>1001100=>[1,3,1,3] [3,8,5,7,1,4,2,6]=>0101010=>[2,2,2,2] [3,8,4,7,1,5,2,6]=>0101010=>[2,2,2,2] [3,5,2,8,4,6,1,7]=>0101010=>[2,2,2,2] [3,5,1,7,4,6,2,8]=>0101010=>[2,2,2,2] [3,8,4,7,2,5,1,6]=>0101010=>[2,2,2,2] [4,1,3,8,5,2,6,7]=>1001100=>[1,3,1,3] [4,1,2,6,7,5,3,8]=>1000110=>[1,4,1,2] [4,2,6,7,5,3,8,1]=>1001101=>[1,3,1,2,1] [4,8,6,7,3,2,5,1]=>0101101=>[2,2,1,2,1] [4,8,6,7,3,1,2,5]=>0101100=>[2,2,1,3] [3,1,5,7,6,2,4,8]=>1001100=>[1,3,1,3] [3,4,1,7,5,6,2,8]=>0101010=>[2,2,2,2] [4,1,7,5,2,8,6,3]=>1011011=>[1,2,1,2,1,1] [4,1,6,7,5,2,3,8]=>1001100=>[1,3,1,3] [4,8,6,7,2,3,1,5]=>0101010=>[2,2,2,2] [5,8,6,7,3,2,4,1]=>0101101=>[2,2,1,2,1] [5,8,6,7,4,2,3,1]=>0101101=>[2,2,1,2,1] [5,8,6,7,4,1,2,3]=>0101100=>[2,2,1,3] [5,8,6,7,4,1,3,2]=>0101101=>[2,2,1,2,1] [5,8,6,7,3,1,4,2]=>0101101=>[2,2,1,2,1] [4,8,6,7,3,1,5,2]=>0101101=>[2,2,1,2,1] [4,1,6,7,5,3,8,2]=>1001101=>[1,3,1,2,1] [4,1,7,5,3,2,8,6]=>1011101=>[1,2,1,1,2,1] [4,2,8,5,3,1,7,6]=>1011101=>[1,2,1,1,2,1] [4,2,1,6,7,5,3,8]=>1100110=>[1,1,3,1,2] [4,8,6,7,3,2,1,5]=>0101110=>[2,2,1,1,2] [5,8,6,7,4,2,1,3]=>0101110=>[2,2,1,1,2] [5,8,6,7,4,3,1,2]=>0101110=>[2,2,1,1,2] [7,3,5,8,1,4,2,6]=>1001010=>[1,3,2,2] [3,8,7,6,1,4,2,5]=>0111010=>[2,1,1,2,2] [5,1,8,3,6,7,2,4]=>1010010=>[1,2,3,2] [1,4,7,8,5,6,2,3]=>0001010=>[4,2,2] [3,4,7,1,5,8,6,2]=>0010011=>[3,3,1,1] [3,6,1,4,7,8,5,2]=>0100011=>[2,4,1,1] [1,6,8,4,7,5,2,3]=>0010110=>[3,2,1,2] [6,8,1,3,5,7,2,4]=>0100010=>[2,4,2] [7,6,1,4,3,8,2,5]=>1101010=>[1,1,2,2,2] [3,8,1,6,5,4,2,7]=>0101110=>[2,2,1,1,2] [4,1,3,7,5,8,2,6]=>1001010=>[1,3,2,2] [6,1,7,3,8,4,2,5]=>1010110=>[1,2,2,1,2] [7,1,8,6,3,5,2,4]=>1011010=>[1,2,1,2,2] [3,1,7,6,5,8,4,2]=>1011011=>[1,2,1,2,1,1] [8,2,7,6,5,3,4,1]=>1011101=>[1,2,1,1,2,1] [8,4,2,6,7,5,3,1]=>1100111=>[1,1,3,1,1,1] [4,8,1,6,7,5,3,2]=>0100111=>[2,3,1,1,1] [7,4,1,6,8,2,5,3]=>1100101=>[1,1,3,2,1] [1,3,8,6,2,7,5,4]=>0011011=>[3,1,2,1,1] [6,1,3,2,7,8,4,5]=>1010010=>[1,2,3,2] [1,8,6,2,5,3,4,7]=>0110100=>[2,1,2,3] [4,7,2,6,8,1,5,3]=>0100101=>[2,3,2,1] [8,7,3,6,4,5,2,1]=>1101011=>[1,1,2,2,1,1] [5,7,8,6,2,1,4,3]=>0011101=>[3,1,1,2,1] [2,7,4,1,6,8,3,5]=>0110010=>[2,1,3,2] [3,7,2,4,5,1,6,8]=>0100100=>[2,3,3] [1,8,6,4,5,2,3,7]=>0110100=>[2,1,2,3] [2,8,4,6,5,1,3,7]=>0101100=>[2,2,1,3] [3,4,1,7,5,2,6,8]=>0101100=>[2,2,1,3] [7,5,8,6,1,2,4,3]=>1011001=>[1,2,1,3,1] [5,6,8,7,3,1,4,2]=>0011101=>[3,1,1,2,1] [2,5,4,3,6,8,1,7]=>0110010=>[2,1,3,2] [3,8,5,4,6,2,1,7]=>0110110=>[2,1,2,1,2] [4,8,2,1,3,7,5,6]=>0110010=>[2,1,3,2] [6,4,1,2,7,5,8,3]=>1100101=>[1,1,3,2,1] [4,1,8,3,6,7,5,2]=>1010011=>[1,2,3,1,1] [8,3,7,4,5,2,6,1]=>1010101=>[1,2,2,2,1] [4,3,7,8,5,1,6,2]=>1001101=>[1,3,1,2,1] [5,4,8,2,7,6,1,3]=>1010110=>[1,2,2,1,2] [1,2,7,3,6,5,8,4]=>0010101=>[3,2,2,1] [2,8,7,6,3,4,1,5]=>0111010=>[2,1,1,2,2] [5,8,2,6,3,4,1,7]=>0101010=>[2,2,2,2] [4,1,7,5,8,6,2,3]=>1010110=>[1,2,2,1,2] [5,1,7,8,4,3,6,2]=>1001101=>[1,3,1,2,1] [8,2,7,5,4,3,6,1]=>1011101=>[1,2,1,1,2,1] [6,3,8,1,4,7,5,2]=>1010011=>[1,2,3,1,1] [3,8,4,5,6,1,2,7]=>0100100=>[2,3,3] [1,4,3,5,7,8,2,6]=>0100010=>[2,4,2] [6,5,8,7,1,3,4,2]=>1011001=>[1,2,1,3,1] [3,6,7,2,4,8,1,5]=>0010010=>[3,3,2] [1,5,2,7,4,3,8,6]=>0101101=>[2,2,1,2,1] [2,8,5,6,4,3,1,7]=>0101110=>[2,2,1,1,2] [1,8,6,5,4,3,2,7]=>0111110=>[2,1,1,1,1,2] [6,1,5,2,8,4,7,3]=>1010101=>[1,2,2,2,1] [4,6,1,8,5,7,2,3]=>0101010=>[2,2,2,2] [4,7,1,2,8,5,6,3]=>0100101=>[2,3,2,1] [1,4,7,2,8,5,6,3]=>0010101=>[3,2,2,1] [1,7,3,5,8,6,2,4]=>0100110=>[2,3,1,2] [7,3,5,8,6,1,2,4]=>1001100=>[1,3,1,3] [3,6,8,1,5,7,2,4]=>0010010=>[3,3,2] [3,4,6,5,8,1,7,2]=>0010101=>[3,2,2,1] [6,8,1,5,7,2,3,4]=>0100100=>[2,3,3] [7,1,2,5,8,6,3,4]=>1000110=>[1,4,1,2] [1,7,2,5,8,6,3,4]=>0100110=>[2,3,1,2] [1,7,6,8,2,3,5,4]=>0101001=>[2,2,3,1] [7,6,8,1,2,3,5,4]=>1010001=>[1,2,4,1] [2,7,1,5,8,6,3,4]=>0100110=>[2,3,1,2] [2,4,7,1,8,5,6,3]=>0010101=>[3,2,2,1] [4,7,5,8,3,1,6,2]=>0101101=>[2,2,1,2,1] [4,7,2,1,8,5,6,3]=>0110101=>[2,1,2,2,1] [7,6,8,2,1,3,5,4]=>1011001=>[1,2,1,3,1] [1,2,7,6,8,3,5,4]=>0010101=>[3,2,2,1] [3,7,6,8,2,1,5,4]=>0101101=>[2,2,1,2,1] [7,4,2,1,6,8,5,3]=>1110011=>[1,1,1,3,1,1] [6,7,4,1,8,5,3,2]=>0110111=>[2,1,2,1,1,1] [6,7,4,3,1,8,5,2]=>0111011=>[2,1,1,2,1,1] [2,7,4,1,6,8,5,3]=>0110011=>[2,1,3,1,1] [2,3,7,6,8,1,5,4]=>0010101=>[3,2,2,1] [7,4,2,6,8,5,1,3]=>1100110=>[1,1,3,1,2] [7,3,2,5,8,6,1,4]=>1100110=>[1,1,3,1,2] [3,1,7,6,8,2,5,4]=>1010101=>[1,2,2,2,1] [3,7,6,8,1,2,5,4]=>0101001=>[2,2,3,1] [1,3,7,6,8,2,5,4]=>0010101=>[3,2,2,1] [1,7,4,2,6,8,5,3]=>0110011=>[2,1,3,1,1] [7,4,1,2,6,8,5,3]=>1100011=>[1,1,4,1,1] [7,1,4,2,8,5,6,3]=>1010101=>[1,2,2,2,1] [7,1,8,2,5,4,6,3]=>1010101=>[1,2,2,2,1] [7,3,8,4,6,1,5,2]=>1010101=>[1,2,2,2,1] [7,2,8,1,6,4,5,3]=>1010101=>[1,2,2,2,1] [7,1,6,8,5,4,2,3]=>1001110=>[1,3,1,1,2] [7,1,2,6,8,5,4,3]=>1000111=>[1,4,1,1,1] [1,7,2,6,8,5,4,3]=>0100111=>[2,3,1,1,1] [1,7,6,8,3,2,5,4]=>0101101=>[2,2,1,2,1] [7,6,8,3,1,2,5,4]=>1011001=>[1,2,1,3,1] [7,1,5,8,6,3,2,4]=>1001110=>[1,3,1,1,2] [7,2,5,8,6,3,1,4]=>1001110=>[1,3,1,1,2] [3,6,7,1,8,5,4,2]=>0010111=>[3,2,1,1,1] [7,2,6,8,5,4,1,3]=>1001110=>[1,3,1,1,2] [7,6,8,2,3,1,5,4]=>1010101=>[1,2,2,2,1] [2,7,6,8,3,1,5,4]=>0101101=>[2,2,1,2,1] [2,7,1,6,8,5,4,3]=>0100111=>[2,3,1,1,1] [6,7,3,1,8,5,4,2]=>0110111=>[2,1,2,1,1,1] [6,7,1,8,5,4,3,2]=>0101111=>[2,2,1,1,1,1] [7,2,1,6,8,5,4,3]=>1100111=>[1,1,3,1,1,1] [7,6,8,3,2,1,5,4]=>1011101=>[1,2,1,1,2,1] [4,7,8,5,6,1,3,2]=>0010101=>[3,2,2,1] [4,6,5,8,7,1,3,2]=>0101101=>[2,2,1,2,1] [5,6,4,8,1,2,7,3]=>0101001=>[2,2,3,1] [8,1,5,6,7,2,4,3]=>1000101=>[1,4,2,1] [6,4,5,1,8,2,7,3]=>1010101=>[1,2,2,2,1] [5,4,6,7,1,2,8,3]=>1001001=>[1,3,3,1] [4,3,6,7,2,1,5,8]=>1001100=>[1,3,1,3] [5,3,6,7,1,4,2,8]=>1001010=>[1,3,2,2] [8,1,4,6,7,3,2,5]=>1000110=>[1,4,1,2] [8,1,3,6,7,4,5,2]=>1000101=>[1,4,2,1] [7,2,1,6,8,4,5,3]=>1100101=>[1,1,3,2,1] [5,2,6,7,1,4,8,3]=>1001001=>[1,3,3,1] [4,2,6,7,3,1,8,5]=>1001101=>[1,3,1,2,1] [6,2,4,1,5,8,7,3]=>1010011=>[1,2,3,1,1] [7,2,1,5,4,8,6,3]=>1101011=>[1,1,2,2,1,1] [8,1,4,5,3,7,2,6]=>1001010=>[1,3,2,2] [7,3,1,5,4,8,2,6]=>1101010=>[1,1,2,2,2] [6,3,4,1,5,8,2,7]=>1010010=>[1,2,3,2] [5,3,4,2,1,8,6,7]=>1011010=>[1,2,1,2,2] [4,3,5,2,7,1,6,8]=>1010100=>[1,2,2,3] [5,6,3,8,1,4,2,7]=>0101010=>[2,2,2,2] [8,1,7,2,4,5,6,3]=>1010001=>[1,2,4,1] [7,6,1,2,4,5,8,3]=>1100001=>[1,1,5,1] [4,7,8,2,3,1,6,5]=>0010101=>[3,2,2,1] [5,6,2,8,1,4,7,3]=>0101001=>[2,2,3,1] [6,5,2,1,3,7,8,4]=>1110001=>[1,1,1,4,1] [7,5,1,3,2,6,8,4]=>1101001=>[1,1,2,3,1] [8,1,6,3,2,5,7,4]=>1011001=>[1,2,1,3,1] [7,4,1,3,5,2,8,6]=>1100101=>[1,1,3,2,1] [5,4,2,3,1,6,8,7]=>1101001=>[1,1,2,3,1] [7,3,1,4,5,6,2,8]=>1100010=>[1,1,4,2] [8,1,4,3,5,6,2,7]=>1010010=>[1,2,3,2] [6,2,3,1,5,7,8,4]=>1010001=>[1,2,4,1] [7,8,4,2,1,6,5,3]=>0111011=>[2,1,1,2,1,1] [7,8,4,2,1,5,6,3]=>0111001=>[2,1,1,3,1] [6,2,3,4,8,7,1,5]=>1000110=>[1,4,1,2] [6,2,3,4,7,8,1,5]=>1000010=>[1,5,2] [7,8,3,4,6,2,1,5]=>0100110=>[2,3,1,2] [7,8,3,6,4,2,1,5]=>0101110=>[2,2,1,1,2] [7,8,3,5,6,2,1,4]=>0100110=>[2,3,1,2] [6,2,3,8,7,5,1,4]=>1001110=>[1,3,1,1,2] [6,2,3,7,8,5,1,4]=>1000110=>[1,4,1,2] [5,2,6,3,8,1,7,4]=>1010101=>[1,2,2,2,1] [6,3,2,5,8,7,1,4]=>1100110=>[1,1,3,1,2] [6,3,2,8,4,7,1,5]=>1101010=>[1,1,2,2,2] [6,4,3,8,7,5,1,2]=>1101110=>[1,1,2,1,1,2] [6,4,3,7,8,5,1,2]=>1100110=>[1,1,3,1,2] [6,2,4,1,7,3,5,8]=>1010100=>[1,2,2,3] [6,3,2,7,4,8,1,5]=>1101010=>[1,1,2,2,2] [6,3,2,5,7,8,1,4]=>1100010=>[1,1,4,2] [5,7,2,3,6,1,8,4]=>0100101=>[2,3,2,1] [5,8,2,3,6,1,7,4]=>0100101=>[2,3,2,1] [4,7,5,8,3,2,1,6]=>0101110=>[2,2,1,1,2] [4,5,6,8,3,2,1,7]=>0001110=>[4,1,1,2] [4,6,8,5,3,2,1,7]=>0011110=>[3,1,1,1,2] [5,6,1,4,2,3,7,8]=>0101000=>[2,2,4] [5,6,8,4,3,7,1,2]=>0011010=>[3,1,2,2] [5,6,1,4,2,3,8,7]=>0101001=>[2,2,3,1] [5,2,8,3,4,1,7,6]=>1010101=>[1,2,2,2,1] [4,5,8,6,3,2,1,7]=>0011110=>[3,1,1,1,2] [4,6,5,8,3,2,1,7]=>0101110=>[2,2,1,1,2] [4,7,5,6,3,2,1,8]=>0101110=>[2,2,1,1,2] [6,2,3,4,5,8,1,7]=>1000010=>[1,5,2] [5,1,4,3,6,2,8,7]=>1010101=>[1,2,2,2,1] [5,1,4,3,7,2,8,6]=>1010101=>[1,2,2,2,1] [5,1,4,3,8,2,7,6]=>1010101=>[1,2,2,2,1] [5,6,2,4,1,7,8,3]=>0101001=>[2,2,3,1] [5,6,2,4,1,8,7,3]=>0101011=>[2,2,2,1,1] [5,7,2,4,1,8,6,3]=>0101011=>[2,2,2,1,1] [6,1,4,2,8,7,5,3]=>1010111=>[1,2,2,1,1,1] [6,1,4,2,7,8,5,3]=>1010011=>[1,2,3,1,1] [5,8,2,4,1,7,6,3]=>0101011=>[2,2,2,1,1] [5,2,7,4,1,6,8,3]=>1011001=>[1,2,1,3,1] [5,4,1,3,7,2,6,8]=>1100100=>[1,1,3,3] [5,1,4,3,6,2,7,8]=>1010100=>[1,2,2,3] [5,8,6,4,3,7,1,2]=>0111010=>[2,1,1,2,2] [5,8,1,4,2,3,7,6]=>0101001=>[2,2,3,1] [5,1,6,3,4,2,7,8]=>1010100=>[1,2,2,3] [4,8,6,5,3,2,1,7]=>0111110=>[2,1,1,1,1,2] [4,8,5,6,3,2,1,7]=>0101110=>[2,2,1,1,2] [5,4,7,8,3,2,1,6]=>1001110=>[1,3,1,1,2] [5,4,8,7,3,2,1,6]=>1011110=>[1,2,1,1,1,2] [4,6,8,7,3,2,1,5]=>0011110=>[3,1,1,1,2] [4,6,7,8,3,2,1,5]=>0001110=>[4,1,1,2] [4,7,6,8,3,2,1,5]=>0101110=>[2,2,1,1,2] [4,7,8,5,3,2,1,6]=>0011110=>[3,1,1,1,2] [5,7,1,3,4,2,6,8]=>0100100=>[2,3,3] [5,1,8,4,2,3,6,7]=>1011000=>[1,2,1,4] [5,1,7,4,2,3,6,8]=>1011000=>[1,2,1,4] [5,8,1,3,4,2,6,7]=>0100100=>[2,3,3] [4,8,7,5,3,2,1,6]=>0111110=>[2,1,1,1,1,2] [4,7,8,6,3,2,1,5]=>0011110=>[3,1,1,1,2] [4,8,7,6,3,2,1,5]=>0111110=>[2,1,1,1,1,2] [4,8,2,6,3,7,5,1]=>0101011=>[2,2,2,1,1] [4,8,2,3,6,7,5,1]=>0100011=>[2,4,1,1] [4,8,3,1,6,7,5,2]=>0110011=>[2,1,3,1,1] [4,3,8,1,6,2,5,7]=>1010100=>[1,2,2,3] [1,4,8,7,3,5,2,6]=>0011010=>[3,1,2,2] [4,3,8,7,2,5,1,6]=>1011010=>[1,2,1,2,2] [5,8,4,3,7,1,6,2]=>0110101=>[2,1,2,2,1] [5,8,1,4,7,2,6,3]=>0100101=>[2,3,2,1] [5,8,1,7,4,2,3,6]=>0101100=>[2,2,1,3] [6,8,1,2,4,3,5,7]=>0100100=>[2,3,3] [5,8,7,1,3,4,2,6]=>0110010=>[2,1,3,2] [4,8,7,6,3,1,2,5]=>0111100=>[2,1,1,1,3] [5,8,4,7,3,1,2,6]=>0101100=>[2,2,1,3] [4,3,8,2,7,5,6,1]=>1010101=>[1,2,2,2,1] [1,4,8,3,7,5,6,2]=>0010101=>[3,2,2,1] [1,4,3,8,2,6,5,7]=>0101010=>[2,2,2,2] [4,3,2,8,1,6,5,7]=>1101010=>[1,1,2,2,2] [4,1,3,8,2,6,5,7]=>1001010=>[1,3,2,2] [4,1,8,3,7,5,6,2]=>1010101=>[1,2,2,2,1] [4,1,8,7,3,5,2,6]=>1011010=>[1,2,1,2,2] [3,7,8,1,5,4,2,6]=>0010110=>[3,2,1,2] [7,3,8,1,5,4,6,2]=>1010101=>[1,2,2,2,1] [3,4,8,1,6,2,5,7]=>0010100=>[3,2,3] [3,4,8,7,2,5,1,6]=>0011010=>[3,1,2,2] [3,4,8,2,7,5,6,1]=>0010101=>[3,2,2,1] [1,2,4,8,3,6,5,7]=>0001010=>[4,2,2] [1,2,4,3,8,6,5,7]=>0010110=>[3,2,1,2] [3,4,2,1,8,6,5,7]=>0110110=>[2,1,2,1,2] [3,4,1,8,2,6,5,7]=>0101010=>[2,2,2,2] [3,6,7,8,4,1,2,5]=>0001100=>[4,1,3] [4,1,7,8,5,3,2,6]=>1001110=>[1,3,1,1,2] [4,1,2,8,3,6,5,7]=>1001010=>[1,3,2,2] [1,4,3,2,8,6,5,7]=>0110110=>[2,1,2,1,2] [4,2,3,1,8,6,5,7]=>1010110=>[1,2,2,1,2] [3,7,6,8,4,2,1,5]=>0101110=>[2,2,1,1,2] [4,7,1,8,5,2,3,6]=>0101100=>[2,2,1,3] [2,6,8,7,4,3,1,5]=>0011110=>[3,1,1,1,2] [3,7,8,6,2,4,1,5]=>0011010=>[3,1,2,2] [3,7,8,2,6,4,5,1]=>0010101=>[3,2,2,1] [4,2,3,8,1,6,5,7]=>1001010=>[1,3,2,2] [4,3,1,8,2,6,5,7]=>1101010=>[1,1,2,2,2] [1,4,7,8,5,3,2,6]=>0001110=>[4,1,1,2] [4,3,7,8,5,2,1,6]=>1001110=>[1,3,1,1,2] [3,7,2,8,4,6,5,1]=>0101011=>[2,2,2,1,1] [4,2,8,6,3,1,5,7]=>1011100=>[1,2,1,1,3] [2,6,8,4,7,3,1,5]=>0010110=>[3,2,1,2] [2,4,8,6,3,1,5,7]=>0011100=>[3,1,1,3] [7,3,6,8,4,2,1,5]=>1001110=>[1,3,1,1,2] [7,6,2,8,3,5,4,1]=>1101011=>[1,1,2,2,1,1] [1,7,3,8,4,6,5,2]=>0101011=>[2,2,2,1,1] [1,3,4,8,2,6,5,7]=>0001010=>[4,2,2] [3,2,4,8,1,6,5,7]=>1001010=>[1,3,2,2] [7,3,8,6,2,4,1,5]=>1011010=>[1,2,1,2,2] [7,3,8,2,6,4,5,1]=>1010101=>[1,2,2,2,1] [2,4,8,3,6,1,5,7]=>0010100=>[3,2,3] [6,2,8,7,4,3,5,1]=>1011101=>[1,2,1,1,2,1] [7,4,1,8,5,2,6,3]=>1101101=>[1,1,2,1,2,1] [7,3,2,8,4,6,5,1]=>1101011=>[1,1,2,2,1,1] [2,4,3,1,8,6,5,7]=>0110110=>[2,1,2,1,2] [1,3,4,2,8,6,5,7]=>0010110=>[3,2,1,2] [1,3,2,4,8,6,5,7]=>0100110=>[2,3,1,2] [3,2,1,4,8,6,5,7]=>1100110=>[1,1,3,1,2] [3,1,2,4,8,6,5,7]=>1000110=>[1,4,1,2] [3,1,4,2,8,6,5,7]=>1010110=>[1,2,2,1,2] [3,1,4,8,2,6,5,7]=>1001010=>[1,3,2,2] [7,3,4,8,5,1,6,2]=>1001101=>[1,3,1,2,1] [3,7,4,8,5,1,2,6]=>0101100=>[2,2,1,3] [6,7,2,8,3,5,4,1]=>0101011=>[2,2,2,1,1] [2,3,1,4,8,6,5,7]=>0100110=>[2,3,1,2] [2,1,3,4,8,6,5,7]=>1000110=>[1,4,1,2] [1,2,3,4,8,6,5,7]=>0000110=>[5,1,2] [4,8,3,6,2,1,5,7]=>0101100=>[2,2,1,3] [3,5,8,2,6,1,4,7]=>0010100=>[3,2,3] [3,6,5,8,2,4,1,7]=>0101010=>[2,2,2,2] [5,3,8,7,2,4,6,1]=>1011001=>[1,2,1,3,1] [2,8,4,5,7,3,6,1]=>0100101=>[2,3,2,1] [2,4,5,7,3,8,1,6]=>0001010=>[4,2,2] [6,2,4,5,8,3,1,7]=>1000110=>[1,4,1,2] [4,8,1,2,5,6,3,7]=>0100010=>[2,4,2] [8,1,3,5,2,6,4,7]=>1001010=>[1,3,2,2] [5,2,1,6,3,8,4,7]=>1101010=>[1,1,2,2,2] [6,2,5,1,8,4,3,7]=>1010110=>[1,2,2,1,2] [3,6,1,5,8,4,2,7]=>0100110=>[2,3,1,2] [6,1,4,5,8,3,2,7]=>1000110=>[1,4,1,2] [5,6,4,8,1,3,2,7]=>0101010=>[2,2,2,2] [6,5,4,3,8,2,1,7]=>1110110=>[1,1,1,2,1,2] [5,4,3,7,2,8,1,6]=>1101010=>[1,1,2,2,2] [5,8,4,3,7,2,6,1]=>0110101=>[2,1,2,2,1] [4,6,8,3,7,2,5,1]=>0010101=>[3,2,2,1] [7,4,6,3,2,8,1,5]=>1011010=>[1,2,1,2,2] [1,4,3,6,2,7,8,5]=>0101001=>[2,2,3,1] [1,5,4,3,7,2,8,6]=>0110101=>[2,1,2,2,1] [4,7,8,5,3,1,2,6]=>0011100=>[3,1,1,3] [5,7,3,4,1,2,8,6]=>0101001=>[2,2,3,1] [8,5,4,7,6,2,1,3]=>1101110=>[1,1,2,1,1,2] [8,5,7,4,3,6,1,2]=>1011010=>[1,2,1,2,2] [4,3,8,1,6,7,5,2]=>1010011=>[1,2,3,1,1] [4,7,8,3,6,1,5,2]=>0010101=>[3,2,2,1] [5,3,8,6,7,4,1,2]=>1010110=>[1,2,2,1,2] [1,3,8,6,4,7,5,2]=>0011011=>[3,1,2,1,1] [8,6,2,7,4,1,5,3]=>1101101=>[1,1,2,1,2,1] [7,6,2,1,4,3,8,5]=>1110101=>[1,1,1,2,2,1] [7,6,1,3,4,2,8,5]=>1100101=>[1,1,3,2,1] [1,5,7,3,2,6,8,4]=>0011001=>[3,1,3,1] [1,6,7,3,2,5,8,4]=>0011001=>[3,1,3,1] [3,2,6,8,5,7,4,1]=>1001011=>[1,3,2,1,1] [5,8,2,3,6,7,4,1]=>0100011=>[2,4,1,1] [7,5,2,3,1,6,8,4]=>1101001=>[1,1,2,3,1] [1,6,4,7,2,3,8,5]=>0101001=>[2,2,3,1] [3,1,7,5,2,8,4,6]=>1011010=>[1,2,1,2,2] [2,5,7,4,1,8,3,6]=>0011010=>[3,1,2,2] [4,2,6,1,7,8,3,5]=>1010010=>[1,2,3,2] [4,2,7,6,3,8,1,5]=>1011010=>[1,2,1,2,2] [6,4,8,7,2,3,5,1]=>1011001=>[1,2,1,3,1] [3,2,6,8,7,4,5,1]=>1001101=>[1,3,1,2,1] [3,2,7,4,1,6,8,5]=>1011001=>[1,2,1,3,1] [6,3,2,1,7,8,4,5]=>1110010=>[1,1,1,3,2] [3,7,1,8,4,2,5,6]=>0101100=>[2,2,1,3] [4,2,1,3,7,5,8,6]=>1100101=>[1,1,3,2,1] [8,1,3,7,4,2,6,5]=>1001101=>[1,3,1,2,1] [8,4,3,7,6,2,1,5]=>1101110=>[1,1,2,1,1,2] [8,3,5,2,7,6,1,4]=>1010110=>[1,2,2,1,2] [3,6,2,8,7,1,5,4]=>0101101=>[2,2,1,2,1] [7,3,2,8,1,6,5,4]=>1101011=>[1,1,2,2,1,1] [3,8,7,2,6,5,4,1]=>0110111=>[2,1,2,1,1,1] [4,2,7,8,6,1,5,3]=>1001101=>[1,3,1,2,1] [6,8,2,4,7,1,5,3]=>0100101=>[2,3,2,1] [5,2,1,8,7,3,6,4]=>1101101=>[1,1,2,1,2,1] [8,2,1,6,3,7,5,4]=>1101011=>[1,1,2,2,1,1] [6,8,3,1,7,5,2,4]=>0110110=>[2,1,2,1,2] [5,8,1,6,7,2,4,3]=>0100101=>[2,3,2,1] [6,2,8,1,5,7,4,3]=>1010011=>[1,2,3,1,1] [5,7,8,2,6,1,4,3]=>0010101=>[3,2,2,1] [8,7,2,5,6,4,3,1]=>1100111=>[1,1,3,1,1,1] [8,6,7,5,2,4,3,1]=>1011011=>[1,2,1,2,1,1] [7,2,6,8,1,5,4,3]=>1001011=>[1,3,2,1,1] [1,2,7,8,5,6,4,3]=>0001011=>[4,2,1,1] [7,4,8,1,6,2,5,3]=>1010101=>[1,2,2,2,1] [3,7,1,8,2,6,5,4]=>0101011=>[2,2,2,1,1] [2,1,7,3,8,6,5,4]=>1010111=>[1,2,2,1,1,1] [8,2,1,7,6,5,4,3]=>1101111=>[1,1,2,1,1,1,1] [8,1,4,7,6,5,3,2]=>1001111=>[1,3,1,1,1,1] [8,6,7,5,1,4,3,2]=>1011011=>[1,2,1,2,1,1] [7,8,6,5,4,1,3,2]=>0111101=>[2,1,1,1,2,1] [5,8,4,3,2,1,6,7]=>0111100=>[2,1,1,1,3] [6,4,7,3,2,1,8,5]=>1011101=>[1,2,1,1,2,1] [5,4,7,3,2,1,6,8]=>1011100=>[1,2,1,1,3] [6,5,3,7,2,1,4,8]=>1101100=>[1,1,2,1,3] [5,8,3,6,2,1,4,7]=>0101100=>[2,2,1,3] [6,3,7,8,2,1,4,5]=>1001100=>[1,3,1,3] [5,3,7,6,2,1,4,8]=>1011100=>[1,2,1,1,3] [3,8,7,6,2,1,4,5]=>0111100=>[2,1,1,1,3] [5,8,4,2,6,1,3,7]=>0110100=>[2,1,2,3] [4,8,7,2,5,1,3,6]=>0110100=>[2,1,2,3] [5,8,3,2,6,1,4,7]=>0110100=>[2,1,2,3] [4,8,3,2,5,1,7,6]=>0110101=>[2,1,2,2,1] [4,3,7,2,5,1,8,6]=>1010101=>[1,2,2,2,1] [3,8,7,2,5,1,4,6]=>0110100=>[2,1,2,3] [6,4,2,7,5,1,3,8]=>1101100=>[1,1,2,1,3] [6,3,2,7,5,1,4,8]=>1101100=>[1,1,2,1,3] [5,3,2,6,7,1,4,8]=>1100100=>[1,1,3,3] [3,8,2,6,5,1,4,7]=>0101100=>[2,2,1,3] [6,2,7,8,5,1,3,4]=>1001100=>[1,3,1,3] [5,2,7,6,8,1,3,4]=>1010100=>[1,2,2,3] [4,2,7,6,5,1,3,8]=>1011100=>[1,2,1,1,3] [2,8,7,6,5,1,3,4]=>0111100=>[2,1,1,1,3] [6,5,4,3,1,7,8,2]=>1111001=>[1,1,1,1,3,1] [6,4,7,3,1,5,8,2]=>1011001=>[1,2,1,3,1] [5,4,7,3,1,8,6,2]=>1011011=>[1,2,1,2,1,1] [6,4,3,7,1,5,8,2]=>1101001=>[1,1,2,3,1] [5,4,3,6,1,8,7,2]=>1101011=>[1,1,2,2,1,1] [6,3,7,8,1,4,5,2]=>1001001=>[1,3,3,1] [5,3,7,6,1,4,8,2]=>1011001=>[1,2,1,3,1] [4,3,7,6,1,5,8,2]=>1011001=>[1,2,1,3,1] [3,8,7,6,1,4,5,2]=>0111001=>[2,1,1,3,1] [6,5,4,2,1,7,3,8]=>1111010=>[1,1,1,1,2,2] [6,4,7,2,1,5,3,8]=>1011010=>[1,2,1,2,2] [4,8,7,2,1,5,3,6]=>0111010=>[2,1,1,2,2] [5,8,3,2,1,4,7,6]=>0111001=>[2,1,1,3,1] [4,8,3,2,1,5,7,6]=>0111001=>[2,1,1,3,1] [5,3,7,2,1,4,8,6]=>1011001=>[1,2,1,3,1] [3,8,7,2,1,4,5,6]=>0111000=>[2,1,1,4] [6,5,2,7,1,4,3,8]=>1101010=>[1,1,2,2,2] [5,8,2,6,1,4,3,7]=>0101010=>[2,2,2,2] [6,4,2,7,1,5,3,8]=>1101010=>[1,1,2,2,2] [5,4,2,6,1,8,3,7]=>1101010=>[1,1,2,2,2] [4,3,2,6,1,5,8,7]=>1101001=>[1,1,2,3,1] [6,2,7,8,1,4,3,5]=>1001010=>[1,3,2,2] [4,2,7,6,1,5,3,8]=>1011010=>[1,2,1,2,2] [3,2,7,6,1,4,5,8]=>1011000=>[1,2,1,4] [6,5,4,1,8,7,3,2]=>1110111=>[1,1,1,2,1,1,1] [5,8,4,1,6,7,3,2]=>0110011=>[2,1,3,1,1] [6,4,7,1,5,8,3,2]=>1010011=>[1,2,3,1,1] [5,4,7,1,6,8,3,2]=>1010011=>[1,2,3,1,1] [4,8,7,1,5,6,3,2]=>0110011=>[2,1,3,1,1] [5,4,3,1,6,8,7,2]=>1110011=>[1,1,1,3,1,1] [4,8,3,1,5,6,7,2]=>0110001=>[2,1,4,1] [3,8,7,1,5,4,6,2]=>0110101=>[2,1,2,2,1] [5,8,2,1,6,4,3,7]=>0110110=>[2,1,2,1,2] [6,3,2,1,5,4,8,7]=>1110101=>[1,1,1,2,2,1] [5,3,2,1,6,4,8,7]=>1110101=>[1,1,1,2,2,1] [3,8,2,1,5,4,6,7]=>0110100=>[2,1,2,3] [6,2,7,1,5,4,3,8]=>1010110=>[1,2,2,1,2] [5,2,7,1,6,4,3,8]=>1010110=>[1,2,2,1,2] [4,2,7,1,5,6,3,8]=>1010010=>[1,2,3,2] [3,2,7,1,5,4,6,8]=>1010100=>[1,2,2,3] [2,8,7,1,5,4,3,6]=>0110110=>[2,1,2,1,2] [6,5,1,7,8,4,3,2]=>1100111=>[1,1,3,1,1,1] [5,8,1,6,7,4,3,2]=>0100111=>[2,3,1,1,1] [6,4,1,7,5,8,3,2]=>1101011=>[1,1,2,2,1,1] [5,4,1,6,7,8,3,2]=>1100011=>[1,1,4,1,1] [4,8,1,6,5,7,3,2]=>0101011=>[2,2,2,1,1] [6,3,1,7,5,4,8,2]=>1101101=>[1,1,2,1,2,1] [5,3,1,6,7,4,8,2]=>1100101=>[1,1,3,2,1] [4,3,1,6,5,7,8,2]=>1101001=>[1,1,2,3,1] [3,8,1,6,5,4,7,2]=>0101101=>[2,2,1,2,1] [5,2,1,6,7,4,3,8]=>1100110=>[1,1,3,1,2] [4,2,1,6,5,7,3,8]=>1101010=>[1,1,2,2,2] [2,8,1,6,5,4,3,7]=>0101110=>[2,2,1,1,2] [6,1,7,8,5,4,3,2]=>1001111=>[1,3,1,1,1,1] [4,1,7,6,5,8,3,2]=>1011011=>[1,2,1,2,1,1] [3,1,7,6,5,4,8,2]=>1011101=>[1,2,1,1,2,1] [4,5,8,1,2,6,3,7]=>0010010=>[3,3,2] [1,4,5,7,2,6,3,8]=>0001010=>[4,2,2] [1,7,3,5,6,2,4,8]=>0100100=>[2,3,3] [8,1,3,5,7,2,4,6]=>1000100=>[1,4,3] [3,6,8,1,7,2,4,5]=>0010100=>[3,2,3] [3,4,5,6,8,1,7,2]=>0000101=>[5,2,1] [4,5,8,2,6,7,1,3]=>0010010=>[3,3,2] [8,2,3,5,6,7,1,4]=>1000010=>[1,5,2] [1,7,2,3,5,4,6,8]=>0100100=>[2,3,3] [8,1,2,3,5,4,6,7]=>1000100=>[1,4,3] [2,7,8,1,3,5,4,6]=>0010010=>[3,3,2] [2,7,8,3,5,6,1,4]=>0010010=>[3,3,2] [2,4,5,7,8,1,6,3]=>0000101=>[5,2,1] [4,5,8,1,7,6,3,2]=>0010111=>[3,2,1,1,1] [4,5,8,7,2,1,6,3]=>0011101=>[3,1,1,2,1] [8,7,3,5,6,2,1,4]=>1100110=>[1,1,3,1,2] [8,7,2,1,3,5,4,6]=>1110010=>[1,1,1,3,2] [3,6,8,7,2,1,5,4]=>0011101=>[3,1,1,2,1] [8,6,4,1,7,5,3,2]=>1110111=>[1,1,1,2,1,1,1] [7,6,4,3,1,8,5,2]=>1111011=>[1,1,1,1,2,1,1] [2,3,6,7,8,1,5,4]=>0000101=>[5,2,1] [3,6,8,1,2,5,4,7]=>0010010=>[3,3,2] [1,3,6,7,2,5,4,8]=>0001010=>[4,2,2] [7,4,1,8,5,2,3,6]=>1101100=>[1,1,2,1,3] [7,1,4,2,8,3,6,5]=>1010101=>[1,2,2,2,1] [7,1,8,2,5,3,6,4]=>1010101=>[1,2,2,2,1] [8,1,7,5,4,2,3,6]=>1011100=>[1,2,1,1,3] [1,7,2,6,5,4,3,8]=>0101110=>[2,2,1,1,2] [1,7,6,3,2,5,4,8]=>0111010=>[2,1,1,2,2] [8,6,3,1,2,5,4,7]=>1110010=>[1,1,1,3,2] [8,1,7,6,3,2,4,5]=>1011100=>[1,2,1,1,3] [8,2,5,7,6,3,1,4]=>1001110=>[1,3,1,1,2] [3,6,8,1,7,5,4,2]=>0010111=>[3,2,1,1,1] [8,2,6,7,5,4,1,3]=>1001110=>[1,3,1,1,2] [2,7,8,6,3,1,5,4]=>0011101=>[3,1,1,2,1] [2,7,8,1,6,5,4,3]=>0010111=>[3,2,1,1,1] [7,3,1,8,6,5,4,2]=>1101111=>[1,1,2,1,1,1,1] [8,7,2,1,6,5,4,3]=>1110111=>[1,1,1,2,1,1,1] [8,7,6,3,2,1,5,4]=>1111101=>[1,1,1,1,1,2,1] [2,1,8,6,3,7,4,5]=>1011010=>[1,2,1,2,2] [8,6,1,5,2,7,4,3]=>1101011=>[1,1,2,2,1,1] [8,5,1,7,4,2,6,3]=>1101101=>[1,1,2,1,2,1] [2,1,7,5,4,3,8,6]=>1011101=>[1,2,1,1,2,1] [2,1,7,8,3,6,5,4]=>1001011=>[1,3,2,1,1] [2,1,4,8,5,7,3,6]=>1001010=>[1,3,2,2] [8,5,3,1,6,2,4,7]=>1110100=>[1,1,1,2,3] [6,4,1,5,2,3,8,7]=>1101001=>[1,1,2,3,1] [8,3,7,5,2,6,1,4]=>1011010=>[1,2,1,2,2] [5,3,7,4,6,8,1,2]=>1010010=>[1,2,3,2] [5,8,3,7,6,2,1,4]=>0101110=>[2,2,1,1,2] [4,2,6,3,8,5,1,7]=>1010110=>[1,2,2,1,2] [5,8,2,1,7,6,4,3]=>0110111=>[2,1,2,1,1,1] [8,3,2,4,1,7,5,6]=>1101010=>[1,1,2,2,2] [7,8,3,1,5,4,6,2]=>0110101=>[2,1,2,2,1] [7,2,8,1,4,6,5,3]=>1010011=>[1,2,3,1,1] [6,2,3,1,4,5,8,7]=>1010001=>[1,2,4,1] [6,8,1,4,5,3,2,7]=>0100110=>[2,3,1,2] [8,2,6,1,4,7,3,5]=>1010010=>[1,2,3,2] [8,3,5,6,1,7,4,2]=>1001011=>[1,3,2,1,1] [6,3,5,4,1,2,8,7]=>1011001=>[1,2,1,3,1] [8,7,3,6,5,1,4,2]=>1101101=>[1,1,2,1,2,1] [2,7,4,3,6,1,8,5]=>0110101=>[2,1,2,2,1] [3,4,7,2,8,1,5,6]=>0010100=>[3,2,3] [4,2,3,5,8,1,6,7]=>1000100=>[1,4,3] [3,8,4,7,1,6,5,2]=>0101011=>[2,2,2,1,1] [3,2,4,6,1,5,8,7]=>1001001=>[1,3,3,1] [8,3,4,5,7,6,1,2]=>1000110=>[1,4,1,2] [3,2,4,5,6,8,1,7]=>1000010=>[1,5,2] [5,6,8,1,4,2,7,3]=>0010101=>[3,2,2,1] [1,5,7,8,4,6,2,3]=>0001010=>[4,2,2] [1,3,5,7,8,6,2,4]=>0000110=>[5,1,2] [3,5,7,8,6,1,2,4]=>0001100=>[4,1,3] [3,5,1,6,8,2,7,4]=>0100101=>[2,3,2,1] [3,1,5,6,8,2,7,4]=>1000101=>[1,4,2,1] [2,3,5,6,8,1,7,4]=>0000101=>[5,2,1] [5,6,4,8,2,1,7,3]=>0101101=>[2,2,1,2,1] [5,1,6,3,8,4,7,2]=>1010101=>[1,2,2,2,1] [2,5,1,6,8,3,7,4]=>0100101=>[2,3,2,1] [5,1,2,6,8,3,7,4]=>1000101=>[1,4,2,1] [5,7,1,8,6,2,3,4]=>0101100=>[2,2,1,3] [1,5,2,7,8,6,3,4]=>0100110=>[2,3,1,2] [1,6,7,5,2,8,3,4]=>0011010=>[3,1,2,2] [6,1,7,5,2,8,3,4]=>1011010=>[1,2,1,2,2] [2,6,7,5,1,8,3,4]=>0011010=>[3,1,2,2] [5,7,2,8,6,1,3,4]=>0101100=>[2,2,1,3] [3,5,7,8,6,2,1,4]=>0001110=>[4,1,1,2] [5,1,7,8,6,3,4,2]=>1001101=>[1,3,1,2,1] [5,1,3,7,8,6,4,2]=>1000111=>[1,4,1,1,1] [5,2,7,8,4,6,1,3]=>1001010=>[1,3,2,2] [3,2,5,7,8,6,1,4]=>1000110=>[1,4,1,2] [6,2,7,5,1,8,3,4]=>1011010=>[1,2,1,2,2] [1,2,6,7,5,8,3,4]=>0001010=>[4,2,2] [6,2,7,5,4,1,8,3]=>1011101=>[1,2,1,1,2,1] [6,7,5,2,4,1,8,3]=>0110101=>[2,1,2,2,1] [6,7,2,5,3,8,1,4]=>0101010=>[2,2,2,2] [6,7,4,5,2,1,8,3]=>0101101=>[2,2,1,2,1] [5,1,7,8,6,4,3,2]=>1001111=>[1,3,1,1,1,1] [2,5,7,8,6,3,1,4]=>0001110=>[4,1,1,2] [5,1,7,8,6,3,2,4]=>1001110=>[1,3,1,1,2] [6,3,7,5,1,8,2,4]=>1011010=>[1,2,1,2,2] [1,6,7,5,3,8,2,4]=>0011010=>[3,1,2,2] [1,6,7,5,4,2,8,3]=>0011101=>[3,1,1,2,1] [6,7,5,1,4,2,8,3]=>0110101=>[2,1,2,2,1] [5,7,8,6,4,1,2,3]=>0011100=>[3,1,1,3] [4,1,7,2,6,5,8,3]=>1010101=>[1,2,2,2,1] [2,4,7,1,5,6,8,3]=>0010001=>[3,4,1] [6,7,4,1,5,2,8,3]=>0110101=>[2,1,2,2,1] [1,6,7,4,5,2,8,3]=>0010101=>[3,2,2,1] [1,6,3,7,5,8,2,4]=>0101010=>[2,2,2,2] [6,3,1,7,5,8,2,4]=>1101010=>[1,1,2,2,2] [2,5,3,7,8,6,1,4]=>0100110=>[2,3,1,2] [6,7,5,4,2,1,8,3]=>0111101=>[2,1,1,1,2,1] [6,3,2,7,5,8,1,4]=>1101010=>[1,1,2,2,2] [6,7,4,2,5,1,8,3]=>0110101=>[2,1,2,2,1] [6,2,7,4,5,1,8,3]=>1010101=>[1,2,2,2,1] [6,2,3,7,5,8,1,4]=>1001010=>[1,3,2,2] [4,5,1,6,3,2,8,7]=>0101101=>[2,2,1,2,1] [7,5,1,6,3,8,2,4]=>1101010=>[1,1,2,2,2] [7,5,1,6,3,8,4,2]=>1101011=>[1,1,2,2,1,1] [2,7,6,1,3,8,4,5]=>0110010=>[2,1,3,2] [2,7,6,1,3,8,5,4]=>0110011=>[2,1,3,1,1] [7,3,5,1,8,2,6,4]=>1010101=>[1,2,2,2,1] [7,3,5,1,8,2,4,6]=>1010100=>[1,2,2,3] [3,7,5,1,8,6,2,4]=>0110110=>[2,1,2,1,2] [2,6,7,1,5,8,3,4]=>0010010=>[3,3,2] [2,6,7,4,1,8,3,5]=>0011010=>[3,1,2,2] [2,1,6,7,3,8,5,4]=>1001011=>[1,3,2,1,1] [2,6,7,4,1,8,5,3]=>0011011=>[3,1,2,1,1] [2,6,7,1,5,8,4,3]=>0010011=>[3,3,1,1] [3,6,5,1,8,4,7,2]=>0110101=>[2,1,2,2,1] [3,6,5,1,8,4,2,7]=>0110110=>[2,1,2,1,2] [3,7,5,4,8,1,6,2]=>0110101=>[2,1,2,2,1] [3,7,5,4,8,1,2,6]=>0110100=>[2,1,2,3] [4,6,1,5,8,7,3,2]=>0100111=>[2,3,1,1,1] [4,6,1,5,8,7,2,3]=>0100110=>[2,3,1,2] [4,6,1,5,8,2,7,3]=>0100101=>[2,3,2,1] [7,5,1,6,2,8,3,4]=>1101010=>[1,1,2,2,2] [7,5,1,6,2,8,4,3]=>1101011=>[1,1,2,2,1,1] [4,6,1,5,8,2,3,7]=>0100100=>[2,3,3] [4,7,1,5,8,3,6,2]=>0100101=>[2,3,2,1] [2,3,4,7,8,1,6,5]=>0000101=>[5,2,1] [6,8,5,4,3,2,7,1]=>0111101=>[2,1,1,1,2,1] [10,11,9,8,7,6,5,4,3,2,1]=>0111111111=>[2,1,1,1,1,1,1,1,1,1] [7,9,6,5,4,3,2,8,1]=>01111101=>[2,1,1,1,1,2,1] [8,9,6,5,4,3,2,1,7]=>01111110=>[2,1,1,1,1,1,2] [6,8,5,4,3,7,2,1]=>0111011=>[2,1,1,2,1,1] [5,8,4,3,2,1,7,6]=>0111101=>[2,1,1,1,2,1] [6,5,4,3,1,8,7,2]=>1111011=>[1,1,1,1,2,1,1] [8,7,6,5,4,3,9,1,2]=>11111010=>[1,1,1,1,1,2,2] [8,7,5,4,3,1,6,2]=>1111101=>[1,1,1,1,1,2,1] [9,7,6,5,4,3,1,8,2]=>11111101=>[1,1,1,1,1,1,2,1] [11,10,9,8,7,6,5,4,3,1,2]=>1111111110=>[1,1,1,1,1,1,1,1,1,2] [8,3,4,6,2,1,5,7]=>1001100=>[1,3,1,3] [3,5,6,2,1,8,4,7]=>0011010=>[3,1,2,2] [3,5,2,6,8,4,1,7]=>0100110=>[2,3,1,2] [7,5,3,2,8,4,1,6]=>1110110=>[1,1,1,2,1,2] [7,5,3,2,8,4,6,1]=>1110101=>[1,1,1,2,2,1] [2,4,5,7,3,8,6,1]=>0001011=>[4,2,1,1] [4,2,5,6,8,3,1,7]=>1000110=>[1,4,1,2] [4,2,8,1,5,6,3,7]=>1010010=>[1,2,3,2] [2,5,6,1,8,4,3,7]=>0010110=>[3,2,1,2] [5,3,6,8,1,4,2,7]=>1001010=>[1,3,2,2] [4,5,6,8,1,3,2,7]=>0001010=>[4,2,2] [1,4,5,6,8,3,2,7]=>0000110=>[5,1,2] [4,5,6,3,8,2,1,7]=>0010110=>[3,2,1,2] [4,5,3,7,2,8,6,1]=>0101011=>[2,2,2,1,1] [6,4,7,3,2,8,5,1]=>1011011=>[1,2,1,2,1,1] [6,1,4,7,3,2,8,5]=>1001101=>[1,3,1,2,1] [1,7,8,4,5,3,2,6]=>0010110=>[3,2,1,2] [5,1,7,3,8,4,2,6]=>1010110=>[1,2,2,1,2] [2,5,1,7,4,3,8,6]=>0101101=>[2,2,1,2,1] [2,5,7,4,1,8,6,3]=>0011011=>[3,1,2,1,1] [5,3,7,1,4,8,6,2]=>1010011=>[1,2,3,1,1] [6,4,3,1,7,8,5,2]=>1110011=>[1,1,1,3,1,1] [6,4,1,7,3,8,5,2]=>1101011=>[1,1,2,2,1,1] [5,6,3,7,8,4,2,1]=>0100111=>[2,3,1,1,1] [5,1,6,3,7,8,4,2]=>1010011=>[1,2,3,1,1] [5,6,1,3,7,8,4,2]=>0100011=>[2,4,1,1] [5,6,1,7,8,3,4,2]=>0100101=>[2,3,2,1] [1,6,3,7,4,8,5,2]=>0101011=>[2,2,2,1,1] [6,7,2,4,1,8,5,3]=>0101011=>[2,2,2,1,1] [6,7,2,1,4,3,8,5]=>0110101=>[2,1,2,2,1] [6,4,7,3,1,2,8,5]=>1011001=>[1,2,1,3,1] [5,6,3,1,2,7,8,4]=>0110001=>[2,1,4,1] [5,6,1,3,2,7,8,4]=>0101001=>[2,2,3,1] [5,6,3,2,1,7,8,4]=>0111001=>[2,1,1,3,1] [2,5,6,3,7,8,4,1]=>0010011=>[3,3,1,1] [2,5,6,3,1,7,8,4]=>0011001=>[3,1,3,1] [2,6,4,7,3,1,8,5]=>0101101=>[2,2,1,2,1] [6,3,7,2,8,4,5,1]=>1010101=>[1,2,2,2,1] [6,3,7,2,8,4,1,5]=>1010110=>[1,2,2,1,2] [6,3,2,7,1,8,4,5]=>1101010=>[1,1,2,2,2] [7,5,3,2,1,8,4,6]=>1111010=>[1,1,1,1,2,2] [7,3,8,4,2,1,5,6]=>1011100=>[1,2,1,1,3] [4,7,2,1,3,8,6,5]=>0110011=>[2,1,3,1,1] [1,3,7,8,6,4,2,5]=>0001110=>[4,1,1,2] [7,3,8,4,6,2,1,5]=>1010110=>[1,2,2,1,2] [5,7,3,8,2,1,6,4]=>0101101=>[2,2,1,2,1] [6,3,7,8,5,2,1,4]=>1001110=>[1,3,1,1,2] [4,6,2,7,8,5,3,1]=>0100111=>[2,3,1,1,1] [4,6,2,1,7,8,5,3]=>0110011=>[2,1,3,1,1] [7,4,5,8,1,2,6,3]=>1001001=>[1,3,3,1] [2,5,1,7,3,8,6,4]=>0101011=>[2,2,2,1,1] [6,7,2,1,3,8,5,4]=>0110011=>[2,1,3,1,1] [5,1,6,7,8,2,4,3]=>1000101=>[1,4,2,1] [6,3,7,1,8,5,2,4]=>1010110=>[1,2,2,1,2] [6,2,1,7,3,8,5,4]=>1101011=>[1,1,2,2,1,1] [6,2,7,1,8,5,4,3]=>1010111=>[1,2,2,1,1,1] [6,3,1,7,8,5,4,2]=>1100111=>[1,1,3,1,1,1] [4,1,3,6,8,2,5,7]=>1000100=>[1,4,3] [4,2,3,6,8,1,5,7]=>1000100=>[1,4,3] [5,3,2,1,8,4,7,6]=>1110101=>[1,1,1,2,2,1] [3,6,5,8,2,1,7,4]=>0101101=>[2,2,1,2,1] [4,5,2,1,3,8,7,6]=>0110011=>[2,1,3,1,1] [3,2,6,4,5,8,1,7]=>1010010=>[1,2,3,2] [2,4,6,5,8,1,3,7]=>0010100=>[3,2,3] [1,6,2,4,5,8,3,7]=>0100010=>[2,4,2] [5,3,2,1,6,8,4,7]=>1110010=>[1,1,1,3,2] [6,2,4,5,8,1,3,7]=>1000100=>[1,4,3] [1,3,4,6,5,8,2,7]=>0001010=>[4,2,2] [1,6,3,4,5,8,2,7]=>0100010=>[2,4,2] [3,4,1,8,5,2,7,6]=>0101101=>[2,2,1,2,1] [2,8,4,1,7,6,3,5]=>0110110=>[2,1,2,1,2] [8,1,4,2,7,3,6,5]=>1010101=>[1,2,2,2,1] [1,5,3,2,8,7,4,6]=>0110110=>[2,1,2,1,2] [8,2,1,7,5,3,4,6]=>1101100=>[1,1,2,1,3] [1,7,6,4,5,8,3,2]=>0110011=>[2,1,3,1,1] [5,8,7,4,1,2,6,3]=>0111001=>[2,1,1,3,1] [5,8,7,4,6,2,1,3]=>0110110=>[2,1,2,1,2] [3,4,2,5,8,6,7,1]=>0100101=>[2,3,2,1] [4,1,3,5,6,8,7,2]=>1000011=>[1,5,1,1] [2,4,8,6,7,1,3,5]=>0010100=>[3,2,3] [4,3,6,2,8,1,7,5]=>1010101=>[1,2,2,2,1] [3,7,4,8,2,1,6,5]=>0101101=>[2,2,1,2,1] [2,3,5,8,6,7,1,4]=>0001010=>[4,2,2] [3,2,5,6,8,7,1,4]=>1000110=>[1,4,1,2] [2,1,8,5,6,7,3,4]=>1010010=>[1,2,3,2] [1,2,8,3,5,6,7,4]=>0010001=>[3,4,1] [4,2,3,7,1,8,6,5]=>1001011=>[1,3,2,1,1] [3,2,6,4,8,1,7,5]=>1010101=>[1,2,2,2,1] [8,2,1,6,7,3,4,5]=>1100100=>[1,1,3,3] [2,7,8,5,4,1,3,6]=>0011100=>[3,1,1,3] [1,7,5,3,8,4,2,6]=>0110110=>[2,1,2,1,2] [4,7,5,3,1,2,8,6]=>0111001=>[2,1,1,3,1] [7,2,4,8,5,3,1,6]=>1001110=>[1,3,1,1,2] [4,8,3,1,2,7,6,5]=>0110011=>[2,1,3,1,1] [3,5,2,7,4,1,8,6]=>0101101=>[2,2,1,2,1] [8,4,2,3,7,1,5,6]=>1100100=>[1,1,3,3] [2,8,4,7,1,3,5,6]=>0101000=>[2,2,4] [8,2,4,6,7,1,3,5]=>1000100=>[1,4,3] [4,8,2,3,6,7,1,5]=>0100010=>[2,4,2] [3,5,2,7,6,1,8,4]=>0101101=>[2,2,1,2,1] [1,6,3,2,5,8,7,4]=>0110011=>[2,1,3,1,1] [5,8,3,2,1,6,7,4]=>0111001=>[2,1,1,3,1] [5,8,7,3,4,6,2,1]=>0110011=>[2,1,3,1,1] [5,8,2,7,4,1,6,3]=>0101101=>[2,2,1,2,1] [5,1,4,2,8,7,6,3]=>1010111=>[1,2,2,1,1,1] [4,7,6,5,8,2,1,3]=>0110110=>[2,1,2,1,2] [5,3,7,1,6,2,8,4]=>1010101=>[1,2,2,2,1] [5,2,6,8,7,1,3,4]=>1001100=>[1,3,1,3] [6,3,2,1,8,5,7,4]=>1110101=>[1,1,1,2,2,1] [2,7,5,4,1,8,6,3]=>0111011=>[2,1,1,2,1,1] [4,2,5,6,8,7,1,3]=>1000110=>[1,4,1,2] [1,8,4,2,5,6,7,3]=>0110001=>[2,1,4,1] [3,8,4,1,5,6,7,2]=>0110001=>[2,1,4,1] [4,2,8,5,6,7,1,3]=>1010010=>[1,2,3,2] [5,2,4,7,1,8,6,3]=>1001011=>[1,3,2,1,1] [5,3,4,7,1,8,6,2]=>1001011=>[1,3,2,1,1] [8,6,4,1,3,2,5,7]=>1110100=>[1,1,1,2,3] [8,1,3,6,5,2,4,7]=>1001100=>[1,3,1,3] [8,1,4,3,6,5,2,7]=>1010110=>[1,2,2,1,2] [3,6,5,2,1,8,7,4]=>0111011=>[2,1,1,2,1,1] [8,3,2,4,6,5,1,7]=>1100110=>[1,1,3,1,2] [8,4,2,1,6,5,3,7]=>1110110=>[1,1,1,2,1,2] [8,4,1,2,6,5,3,7]=>1100110=>[1,1,3,1,2] [8,6,4,2,1,5,3,7]=>1111010=>[1,1,1,1,2,2] [8,3,6,4,1,5,2,7]=>1011010=>[1,2,1,2,2] [8,2,6,3,4,5,1,7]=>1010010=>[1,2,3,2] [1,3,4,8,5,7,2,6]=>0001010=>[4,2,2] [5,8,4,7,6,2,3,1]=>0101101=>[2,2,1,2,1] [1,3,4,7,5,8,2,6]=>0001010=>[4,2,2] [1,3,5,2,4,8,7,6]=>0010011=>[3,3,1,1] [2,6,5,1,3,8,7,4]=>0110011=>[2,1,3,1,1] [4,7,1,6,5,8,3,2]=>0101011=>[2,2,2,1,1] [5,4,8,7,6,3,1,2]=>1011110=>[1,2,1,1,1,2] [2,8,5,1,4,7,6,3]=>0110011=>[2,1,3,1,1] [4,3,1,5,8,6,7,2]=>1100101=>[1,1,3,2,1] [4,1,3,5,8,6,7,2]=>1000101=>[1,4,2,1] [6,5,3,8,4,7,1,2]=>1101010=>[1,1,2,2,2] [5,4,2,1,6,8,7,3]=>1110011=>[1,1,1,3,1,1] [6,8,4,3,2,7,1,5]=>0111010=>[2,1,1,2,2] [3,4,7,8,2,1,6,5]=>0001101=>[4,1,2,1] [5,1,3,2,8,6,7,4]=>1010101=>[1,2,2,2,1] [5,3,1,2,8,6,7,4]=>1100101=>[1,1,3,2,1] [5,2,3,1,6,8,7,4]=>1010011=>[1,2,3,1,1] [5,3,2,1,8,6,7,4]=>1110101=>[1,1,1,2,2,1] [5,2,1,3,6,8,7,4]=>1100011=>[1,1,4,1,1] [2,4,7,3,8,1,6,5]=>0010101=>[3,2,2,1] [6,3,8,2,7,4,1,5]=>1010110=>[1,2,2,1,2] [8,2,1,3,6,4,7,5]=>1100101=>[1,1,3,2,1] [3,5,1,7,8,4,2,6]=>0100110=>[2,3,1,2] [2,7,4,5,8,3,1,6]=>0100110=>[2,3,1,2] [1,8,4,3,7,2,6,5]=>0110101=>[2,1,2,2,1] [3,4,8,7,2,1,6,5]=>0011101=>[3,1,1,2,1] [5,4,7,8,3,6,2,1]=>1001011=>[1,3,2,1,1] [6,4,3,8,7,2,1,5]=>1101110=>[1,1,2,1,1,2] [6,3,8,7,4,1,2,5]=>1011100=>[1,2,1,1,3] [3,5,7,2,4,8,1,6]=>0010010=>[3,3,2] [8,4,7,2,3,1,5,6]=>1010100=>[1,2,2,3] [8,4,7,1,3,2,5,6]=>1010100=>[1,2,2,3] [8,4,7,2,1,3,5,6]=>1011000=>[1,2,1,4] [8,6,4,2,1,3,7,5]=>1111001=>[1,1,1,1,3,1] [8,6,4,1,3,2,7,5]=>1110101=>[1,1,1,2,2,1] [8,6,4,2,3,1,7,5]=>1110101=>[1,1,1,2,2,1] [3,5,7,2,6,1,8,4]=>0010101=>[3,2,2,1] [6,1,3,8,5,7,2,4]=>1001010=>[1,3,2,2] [5,8,3,2,6,7,1,4]=>0110010=>[2,1,3,2] [4,8,5,3,6,2,7,1]=>0110101=>[2,1,2,2,1] [2,8,1,5,4,7,6,3]=>0101011=>[2,2,2,1,1] [1,5,8,7,4,6,2,3]=>0011010=>[3,1,2,2] [2,1,7,6,4,5,8,3]=>1011001=>[1,2,1,3,1] [1,7,2,4,6,5,8,3]=>0100101=>[2,3,2,1] [3,5,1,7,6,8,2,4]=>0101010=>[2,2,2,2] [5,8,2,6,1,3,7,4]=>0101001=>[2,2,3,1] [6,3,5,8,7,2,1,4]=>1001110=>[1,3,1,1,2] [2,5,7,8,4,1,6,3]=>0001101=>[4,1,2,1] [4,2,8,1,5,6,7,3]=>1010001=>[1,2,4,1] [4,1,5,2,6,8,7,3]=>1010011=>[1,2,3,1,1] [3,4,5,1,6,8,7,2]=>0010011=>[3,3,1,1] [4,2,8,5,1,6,7,3]=>1011001=>[1,2,1,3,1] [4,1,8,5,2,6,7,3]=>1011001=>[1,2,1,3,1] [2,7,1,8,5,4,6,3]=>0101101=>[2,2,1,2,1] [5,8,6,2,1,3,7,4]=>0111001=>[2,1,1,3,1] [8,2,4,1,5,6,7,3]=>1010001=>[1,2,4,1] [4,6,3,5,8,1,7,2]=>0100101=>[2,3,2,1] [1,7,8,3,5,4,6,2]=>0010101=>[3,2,2,1] [3,4,5,1,8,6,7,2]=>0010101=>[3,2,2,1] [3,8,1,4,5,6,7,2]=>0100001=>[2,5,1] [3,4,5,6,8,2,1,7]=>0000110=>[5,1,2] [3,4,5,7,1,8,6,2]=>0001011=>[4,2,1,1] [3,4,5,7,8,2,6,1]=>0000101=>[5,2,1] [3,4,6,2,8,5,1,7]=>0010110=>[3,2,1,2] [3,4,6,8,1,5,2,7]=>0001010=>[4,2,2] [3,4,7,2,1,8,6,5]=>0011011=>[3,1,2,1,1] [3,4,7,8,1,5,6,2]=>0001001=>[4,3,1] [3,4,8,2,1,5,6,7]=>0011000=>[3,1,4] [3,5,2,6,7,8,1,4]=>0100010=>[2,4,2] [3,5,2,7,8,4,6,1]=>0100101=>[2,3,2,1] [3,5,2,8,4,1,6,7]=>0101100=>[2,2,1,3] [3,5,6,2,8,4,1,7]=>0010110=>[3,2,1,2] [3,5,6,8,4,1,2,7]=>0001100=>[4,1,3] [3,5,7,2,4,8,6,1]=>0010011=>[3,3,1,1] [3,5,7,2,8,4,6,1]=>0010101=>[3,2,2,1] [3,5,7,8,4,1,6,2]=>0001101=>[4,1,2,1] [3,6,2,1,7,8,5,4]=>0110011=>[2,1,3,1,1] [3,6,2,1,8,5,4,7]=>0110110=>[2,1,2,1,2] [3,6,7,2,4,8,5,1]=>0010011=>[3,3,1,1] [3,6,7,2,8,5,4,1]=>0010111=>[3,2,1,1,1] [3,6,7,8,4,5,1,2]=>0001010=>[4,2,2] [3,6,8,2,4,5,1,7]=>0010010=>[3,3,2] [3,7,2,1,4,8,6,5]=>0110011=>[2,1,3,1,1] [3,7,2,1,8,5,6,4]=>0110101=>[2,1,2,2,1] [3,7,2,8,4,5,6,1]=>0101001=>[2,2,3,1] [3,7,8,2,4,5,6,1]=>0010001=>[3,4,1] [3,8,2,1,4,5,6,7]=>0110000=>[2,1,5] [4,1,5,6,7,8,3,2]=>1000011=>[1,5,1,1] [4,1,5,7,3,8,6,2]=>1001011=>[1,3,2,1,1] [4,1,6,3,7,8,5,2]=>1010011=>[1,2,3,1,1] [4,1,6,3,8,5,2,7]=>1010110=>[1,2,2,1,2] [4,1,6,7,3,8,5,2]=>1001011=>[1,3,2,1,1] [4,1,6,7,8,5,2,3]=>1000110=>[1,4,1,2] [4,1,6,8,3,5,2,7]=>1001010=>[1,3,2,2] [4,1,7,3,2,8,6,5]=>1011011=>[1,2,1,2,1,1] [4,1,7,8,3,5,6,2]=>1001001=>[1,3,3,1] [4,1,8,3,2,5,6,7]=>1011000=>[1,2,1,4] [4,5,2,6,7,8,3,1]=>0100011=>[2,4,1,1] [4,5,2,6,8,1,3,7]=>0100100=>[2,3,3] [4,5,6,3,8,1,2,7]=>0010100=>[3,2,3] [4,5,6,8,3,1,2,7]=>0001100=>[4,1,3] [4,5,7,3,8,1,6,2]=>0010101=>[3,2,2,1] [4,5,8,3,2,1,6,7]=>0011100=>[3,1,1,3] [4,6,2,3,7,8,5,1]=>0100011=>[2,4,1,1] [4,6,2,3,8,5,1,7]=>0100110=>[2,3,1,2] [4,6,2,7,3,8,5,1]=>0101011=>[2,2,2,1,1] [4,6,2,7,8,5,1,3]=>0100110=>[2,3,1,2] [4,6,7,3,2,8,5,1]=>0011011=>[3,1,2,1,1] [4,6,8,3,2,5,1,7]=>0011010=>[3,1,2,2] [4,7,2,3,1,8,6,5]=>0101011=>[2,2,2,1,1] [4,7,2,8,3,5,6,1]=>0101001=>[2,2,3,1] [4,7,8,3,2,5,6,1]=>0011001=>[3,1,3,1] [4,8,2,3,1,5,6,7]=>0101000=>[2,2,4] [5,1,2,6,8,4,3,7]=>1000110=>[1,4,1,2] [5,1,2,7,4,8,6,3]=>1001011=>[1,3,2,1,1] [5,1,2,7,8,4,6,3]=>1000101=>[1,4,2,1] [5,1,2,8,4,3,6,7]=>1001100=>[1,3,1,3] [5,1,6,3,8,4,2,7]=>1010110=>[1,2,2,1,2] [5,1,6,7,4,8,2,3]=>1001010=>[1,3,2,2] [5,1,6,7,8,4,2,3]=>1000110=>[1,4,1,2] [5,1,8,3,4,2,6,7]=>1010100=>[1,2,2,3] [5,6,2,3,8,4,1,7]=>0100110=>[2,3,1,2] [5,6,2,7,8,4,1,3]=>0100110=>[2,3,1,2] [5,6,8,3,4,2,1,7]=>0010110=>[3,2,1,2] [5,7,2,3,4,8,6,1]=>0100011=>[2,4,1,1] [5,7,2,3,8,4,6,1]=>0100101=>[2,3,2,1] [5,7,8,3,4,2,6,1]=>0010101=>[3,2,2,1] [5,8,2,3,4,1,6,7]=>0100100=>[2,3,3] [6,1,2,3,7,8,5,4]=>1000011=>[1,5,1,1] [6,1,2,3,8,5,4,7]=>1000110=>[1,4,1,2] [6,1,2,7,8,5,4,3]=>1000111=>[1,4,1,1,1] [6,1,2,8,4,5,3,7]=>1001010=>[1,3,2,2] [6,1,7,3,4,8,5,2]=>1010011=>[1,2,3,1,1] [6,1,7,3,8,5,4,2]=>1010111=>[1,2,2,1,1,1] [6,1,7,8,4,5,3,2]=>1001011=>[1,3,2,1,1] [6,1,8,3,4,5,2,7]=>1010010=>[1,2,3,2] [6,7,2,3,8,5,4,1]=>0100111=>[2,3,1,1,1] [6,7,2,8,4,5,3,1]=>0101011=>[2,2,2,1,1] [6,8,2,3,4,5,1,7]=>0100010=>[2,4,2] [7,1,2,3,4,8,6,5]=>1000011=>[1,5,1,1] [7,1,2,8,4,5,6,3]=>1001001=>[1,3,3,1] [7,1,8,3,4,5,6,2]=>1010001=>[1,2,4,1] [6,4,1,8,2,3,7,5]=>1101001=>[1,1,2,3,1] [5,8,1,2,4,3,7,6]=>0100101=>[2,3,2,1] [1,3,5,7,2,6,4,8]=>0001010=>[4,2,2] [3,5,8,6,1,2,4,7]=>0011000=>[3,1,4] [3,1,6,8,2,4,7,5]=>1001001=>[1,3,3,1] [3,6,2,8,1,5,7,4]=>0101001=>[2,2,3,1] [2,6,1,3,8,4,7,5]=>0100101=>[2,3,2,1] [1,7,5,2,3,4,6,8]=>0110000=>[2,1,5] [2,7,5,1,3,8,4,6]=>0110010=>[2,1,3,2] [8,2,5,7,4,6,1,3]=>1001010=>[1,3,2,2] [8,2,1,3,7,6,4,5]=>1100110=>[1,1,3,1,2] [8,2,5,1,3,7,4,6]=>1010010=>[1,2,3,2] [8,2,7,5,3,1,6,4]=>1011101=>[1,2,1,1,2,1] [8,2,6,5,4,7,1,3]=>1011010=>[1,2,1,2,2] [7,6,5,2,4,8,1,3]=>1110010=>[1,1,1,3,2] [7,8,2,5,3,1,6,4]=>0101101=>[2,2,1,2,1] [7,1,8,6,3,2,4,5]=>1011100=>[1,2,1,1,3] [6,8,1,5,3,2,4,7]=>0101100=>[2,2,1,3] [1,6,7,5,3,2,4,8]=>0011100=>[3,1,1,3] [6,5,1,2,4,8,3,7]=>1100010=>[1,1,4,2] [7,8,1,6,4,2,3,5]=>0101100=>[2,2,1,3] [8,4,1,2,5,6,3,7]=>1100010=>[1,1,4,2] [1,7,3,6,5,2,4,8]=>0101100=>[2,2,1,3] [8,1,3,7,2,6,4,5]=>1001010=>[1,3,2,2] [7,3,2,6,5,1,8,4]=>1101101=>[1,1,2,1,2,1] [7,8,4,2,5,6,1,3]=>0110010=>[2,1,3,2] [8,2,7,4,5,6,1,3]=>1010010=>[1,2,3,2] [8,2,3,6,5,1,7,4]=>1001101=>[1,3,1,2,1] [7,9,8,6,5,4,3,2,1]=>01111111=>[2,1,1,1,1,1,1,1] [6,9,8,7,5,4,3,2,1]=>01111111=>[2,1,1,1,1,1,1,1] [5,9,8,7,6,4,3,2,1]=>01111111=>[2,1,1,1,1,1,1,1] [4,9,8,7,6,5,3,2,1]=>01111111=>[2,1,1,1,1,1,1,1] [3,9,8,7,6,5,4,2,1]=>01111111=>[2,1,1,1,1,1,1,1] [2,9,8,7,6,5,4,3,1]=>01111111=>[2,1,1,1,1,1,1,1] [8,10,9,7,6,5,4,3,2,1]=>011111111=>[2,1,1,1,1,1,1,1,1] [6,9,7,8,5,4,3,2,1]=>01011111=>[2,2,1,1,1,1,1] [7,10,9,8,6,5,4,3,2,1]=>011111111=>[2,1,1,1,1,1,1,1,1] [4,8,6,5,7,3,2,1]=>0110111=>[2,1,2,1,1,1] [5,9,8,6,7,4,3,2,1]=>01101111=>[2,1,2,1,1,1,1] [6,10,9,8,7,5,4,3,2,1]=>011111111=>[2,1,1,1,1,1,1,1,1] [3,8,7,5,4,6,2,1]=>0111011=>[2,1,1,2,1,1] [4,8,5,6,7,3,2,1]=>0100111=>[2,3,1,1,1] [4,9,8,7,5,6,3,2,1]=>01110111=>[2,1,1,2,1,1,1] [5,10,9,8,7,6,4,3,2,1]=>011111111=>[2,1,1,1,1,1,1,1,1] [2,8,7,6,4,3,5,1]=>0111101=>[2,1,1,1,2,1] [3,8,7,4,5,6,2,1]=>0110011=>[2,1,3,1,1] [3,9,8,7,6,4,5,2,1]=>01111011=>[2,1,1,1,2,1,1] [4,10,9,8,7,6,5,3,2,1]=>011111111=>[2,1,1,1,1,1,1,1,1] [1,8,7,6,5,3,2,4]=>0111110=>[2,1,1,1,1,2] [2,8,7,6,3,4,5,1]=>0111001=>[2,1,1,3,1] [2,9,8,7,6,5,3,4,1]=>01111101=>[2,1,1,1,1,2,1] [3,10,9,8,7,6,5,4,2,1]=>011111111=>[2,1,1,1,1,1,1,1,1] [1,8,7,6,5,2,3,4]=>0111100=>[2,1,1,1,3] [1,9,8,7,6,5,4,2,3]=>01111110=>[2,1,1,1,1,1,2] [2,10,9,8,7,6,5,4,3,1]=>011111111=>[2,1,1,1,1,1,1,1,1] [7,2,8,6,5,4,1,3]=>1011110=>[1,2,1,1,1,2] [7,2,8,5,4,6,1,3]=>1011010=>[1,2,1,2,2] [6,3,2,8,5,1,7,4]=>1101101=>[1,1,2,1,2,1] [8,4,7,2,5,6,3,1]=>1010011=>[1,2,3,1,1] [6,8,5,4,3,1,7,2]=>0111101=>[2,1,1,1,2,1] [5,8,6,4,1,3,7,2]=>0111001=>[2,1,1,3,1] [4,8,6,1,5,3,7,2]=>0110101=>[2,1,2,2,1] [3,6,1,8,5,2,7,4]=>0101101=>[2,2,1,2,1] [3,4,1,2,8,6,7,5]=>0100101=>[2,3,2,1] [6,8,3,5,4,1,7,2]=>0101101=>[2,2,1,2,1] [7,2,5,8,3,6,1,4]=>1001010=>[1,3,2,2] [1,7,5,6,3,4,2,8]=>0101010=>[2,2,2,2] [7,2,6,8,5,3,1,4]=>1001110=>[1,3,1,1,2] [7,6,3,8,5,2,1,4]=>1101110=>[1,1,2,1,1,2] [7,2,6,4,8,3,1,5]=>1010110=>[1,2,2,1,2] [1,5,7,4,2,6,3,8]=>0011010=>[3,1,2,2] [4,2,3,1,7,8,5,6]=>1010010=>[1,2,3,2] [5,2,8,4,1,7,6,3]=>1011011=>[1,2,1,2,1,1] [8,6,3,4,7,2,5,1]=>1100101=>[1,1,3,2,1] [6,8,3,4,5,1,7,2]=>0100101=>[2,3,2,1] [1,6,3,2,5,8,4,7]=>0110010=>[2,1,3,2] [8,3,2,1,5,4,7,6]=>1110101=>[1,1,1,2,2,1] [6,3,7,1,5,8,4,2]=>1010011=>[1,2,3,1,1] [2,5,1,8,4,3,7,6]=>0101101=>[2,2,1,2,1] [6,2,5,4,8,1,3,7]=>1010100=>[1,2,2,3] [4,3,1,6,5,8,2,7]=>1101010=>[1,1,2,2,2] [1,3,5,4,6,8,2,7]=>0010010=>[3,3,2] [6,1,3,4,5,8,2,7]=>1000010=>[1,5,2] [8,3,4,1,5,2,7,6]=>1010101=>[1,2,2,2,1] [7,5,4,2,6,8,3,1]=>1110011=>[1,1,1,3,1,1] [8,2,6,4,1,7,3,5]=>1011010=>[1,2,1,2,2] [7,3,8,4,5,2,1,6]=>1010110=>[1,2,2,1,2] [7,2,5,1,8,4,3,6]=>1010110=>[1,2,2,1,2] [1,7,3,2,5,4,8,6]=>0110101=>[2,1,2,2,1] [8,7,2,1,5,3,4,6]=>1110100=>[1,1,1,2,3] [3,6,1,5,8,7,4,2]=>0100111=>[2,3,1,1,1] [8,3,6,4,5,1,7,2]=>1010101=>[1,2,2,2,1] [5,4,6,8,1,2,7,3]=>1001001=>[1,3,3,1] [6,4,7,2,3,5,8,1]=>1010001=>[1,2,4,1] [6,8,4,1,3,5,7,2]=>0110001=>[2,1,4,1] [3,4,7,8,6,2,5,1]=>0001101=>[4,1,2,1] [4,1,3,5,7,8,6,2]=>1000011=>[1,5,1,1] [6,5,1,8,4,7,3,2]=>1101011=>[1,1,2,2,1,1] [5,3,1,8,4,7,6,2]=>1101011=>[1,1,2,2,1,1] [8,2,7,4,6,1,3,5]=>1010100=>[1,2,2,3] [4,7,3,2,8,1,6,5]=>0110101=>[2,1,2,2,1] [6,3,1,4,7,2,8,5]=>1100101=>[1,1,3,2,1] [8,7,3,6,1,5,2,4]=>1101010=>[1,1,2,2,2] [7,4,3,6,8,2,5,1]=>1100101=>[1,1,3,2,1] [2,4,7,3,8,5,6,1]=>0010101=>[3,2,2,1] [2,8,6,1,5,7,3,4]=>0110010=>[2,1,3,2] [7,8,2,5,4,3,1,6]=>0101110=>[2,2,1,1,2] [1,8,3,4,2,7,6,5]=>0101011=>[2,2,2,1,1] [8,5,3,7,4,2,6,1]=>1101101=>[1,1,2,1,2,1] [5,7,3,2,4,1,8,6]=>0110101=>[2,1,2,2,1] [2,8,3,4,7,1,5,6]=>0100100=>[2,3,3] [4,1,3,6,7,8,2,5]=>1000010=>[1,5,2] [1,7,6,3,2,5,8,4]=>0111001=>[2,1,1,3,1] [3,8,1,5,6,2,7,4]=>0100101=>[2,3,2,1] [8,2,5,6,1,7,4,3]=>1001011=>[1,3,2,1,1] [7,1,5,2,8,6,4,3]=>1010111=>[1,2,2,1,1,1] [6,5,4,8,7,2,1,3]=>1101110=>[1,1,2,1,1,2] [1,8,6,4,5,2,7,3]=>0110101=>[2,1,2,2,1] [1,8,5,3,6,2,7,4]=>0110101=>[2,1,2,2,1] [3,6,2,1,7,5,8,4]=>0110101=>[2,1,2,2,1] [2,5,4,1,8,7,6,3]=>0110111=>[2,1,2,1,1,1] [4,7,2,6,5,8,1,3]=>0101010=>[2,2,2,2] [6,8,1,4,2,7,3,5]=>0101010=>[2,2,2,2] [6,3,4,7,1,8,2,5]=>1001010=>[1,3,2,2] [3,4,7,8,2,5,6,1]=>0001001=>[4,3,1] [1,8,2,4,5,6,7,3]=>0100001=>[2,5,1] [5,2,4,1,6,8,7,3]=>1010011=>[1,2,3,1,1] [3,2,5,7,6,1,8,4]=>1001101=>[1,3,1,2,1] [4,3,5,6,1,8,7,2]=>1001011=>[1,3,2,1,1] [5,3,4,1,7,6,8,2]=>1010101=>[1,2,2,2,1] [3,1,4,6,5,7,8,2]=>1001001=>[1,3,3,1] [1,4,7,3,5,6,8,2]=>0010001=>[3,4,1] [1,3,2,7,5,8,6,4]=>0101011=>[2,2,2,1,1] [1,4,2,5,8,3,7,6]=>0100101=>[2,3,2,1] [4,1,2,6,8,5,3,7]=>1000110=>[1,4,1,2] [1,5,2,4,8,7,6,3]=>0100111=>[2,3,1,1,1] [1,2,6,4,8,7,5,3]=>0010111=>[3,2,1,1,1] [1,2,7,4,8,6,5,3]=>0010111=>[3,2,1,1,1] [1,3,2,7,5,8,4,6]=>0101010=>[2,2,2,2] [1,3,2,8,5,7,4,6]=>0101010=>[2,2,2,2] [1,5,2,4,8,7,3,6]=>0100110=>[2,3,1,2] [1,2,6,4,8,7,3,5]=>0010110=>[3,2,1,2] [1,2,7,8,5,6,3,4]=>0001010=>[4,2,2] [1,3,8,2,6,7,4,5]=>0010010=>[3,3,2] [1,6,7,8,2,5,3,4]=>0001010=>[4,2,2] [1,5,7,8,2,3,6,4]=>0001001=>[4,3,1] [1,5,2,7,8,4,6,3]=>0100101=>[2,3,2,1] [1,3,6,2,4,8,7,5]=>0010011=>[3,3,1,1] [1,6,7,3,4,8,5,2]=>0010011=>[3,3,1,1] [1,5,3,7,4,8,6,2]=>0101011=>[2,2,2,1,1] [2,8,4,1,5,3,7,6]=>0110101=>[2,1,2,2,1] [3,8,4,1,5,7,2,6]=>0110010=>[2,1,3,2] [1,3,8,4,2,7,6,5]=>0011011=>[3,1,2,1,1] [1,2,8,4,7,3,6,5]=>0010101=>[3,2,2,1] [1,2,7,4,8,3,6,5]=>0010101=>[3,2,2,1] [1,2,6,4,8,3,7,5]=>0010101=>[3,2,2,1] [1,5,2,4,8,3,7,6]=>0100101=>[2,3,2,1] [1,8,3,5,2,7,4,6]=>0101010=>[2,2,2,2] [1,3,8,6,2,7,4,5]=>0011010=>[3,1,2,2] [1,4,8,6,7,2,3,5]=>0010100=>[3,2,3] [1,2,6,8,5,3,7,4]=>0001101=>[4,1,2,1] [1,2,7,8,6,3,5,4]=>0001101=>[4,1,2,1] [1,6,7,8,5,2,3,4]=>0001100=>[4,1,3] [1,5,7,8,6,2,3,4]=>0001100=>[4,1,3] [1,4,7,6,8,2,3,5]=>0010100=>[3,2,3] [1,3,7,6,2,8,4,5]=>0011010=>[3,1,2,2] [2,3,8,7,4,1,6,5]=>0011101=>[3,1,1,2,1] [1,2,5,8,7,6,3,4]=>0001110=>[4,1,1,2] [1,2,6,8,7,5,3,4]=>0001110=>[4,1,1,2] [1,2,7,8,6,5,3,4]=>0001110=>[4,1,1,2] [5,2,6,7,3,4,8,1]=>1001001=>[1,3,3,1] [5,2,4,7,6,3,8,1]=>1001101=>[1,3,1,2,1] [5,6,2,1,7,8,3,4]=>0110010=>[2,1,3,2] [5,6,2,1,4,8,7,3]=>0110011=>[2,1,3,1,1] [2,6,1,4,5,8,7,3]=>0100011=>[2,4,1,1] [5,4,2,7,6,3,8,1]=>1101101=>[1,1,2,1,2,1] [2,3,7,6,4,5,8,1]=>0011001=>[3,1,3,1] [2,6,1,7,5,8,3,4]=>0101010=>[2,2,2,2] [2,6,1,7,4,8,5,3]=>0101011=>[2,2,2,1,1] [5,1,2,7,8,4,3,6]=>1000110=>[1,4,1,2] [2,6,1,7,4,8,3,5]=>0101010=>[2,2,2,2] [3,6,4,1,7,8,2,5]=>0110010=>[2,1,3,2] [5,4,6,1,3,8,7,2]=>1010011=>[1,2,3,1,1] [3,6,4,1,5,8,7,2]=>0110011=>[2,1,3,1,1] [2,6,1,5,4,8,7,3]=>0101011=>[2,2,2,1,1] [2,6,1,4,7,8,5,3]=>0100011=>[2,4,1,1] [5,1,2,4,8,6,7,3]=>1000101=>[1,4,2,1] [5,1,2,4,8,7,3,6]=>1000110=>[1,4,1,2] [5,1,2,4,8,7,6,3]=>1000111=>[1,4,1,1,1] [1,2,3,8,5,4,7,6]=>0001101=>[4,1,2,1] [4,3,1,2,8,5,7,6]=>1100101=>[1,1,3,2,1] [2,1,5,3,8,6,4,7]=>1010110=>[1,2,2,1,2] [1,2,3,8,5,6,4,7]=>0001010=>[4,2,2] [1,2,3,8,6,4,5,7]=>0001100=>[4,1,3] [1,2,3,8,6,5,4,7]=>0001110=>[4,1,1,2] [1,2,3,8,5,4,6,7]=>0001100=>[4,1,3] [2,6,1,5,4,8,3,7]=>0101010=>[2,2,2,2] [5,1,2,4,8,6,3,7]=>1000110=>[1,4,1,2] [5,1,2,4,8,3,7,6]=>1000101=>[1,4,2,1] [5,6,3,1,4,8,2,7]=>0110010=>[2,1,3,2] [2,5,4,3,1,8,6,7]=>0111010=>[2,1,1,2,2] [5,4,6,3,1,8,7,2]=>1011011=>[1,2,1,2,1,1] [3,6,4,5,1,8,7,2]=>0101011=>[2,2,2,1,1] [3,6,5,4,1,8,7,2]=>0111011=>[2,1,1,2,1,1] [5,2,6,1,7,8,4,3]=>1010011=>[1,2,3,1,1] [5,1,6,2,8,7,3,4]=>1010110=>[1,2,2,1,2] [2,1,3,7,8,6,4,5]=>1000110=>[1,4,1,2] [2,1,3,7,8,5,6,4]=>1000101=>[1,4,2,1] [5,2,4,1,7,8,6,3]=>1010011=>[1,2,3,1,1] [4,3,1,2,8,6,7,5]=>1100101=>[1,1,3,2,1] [5,1,4,2,8,6,7,3]=>1010101=>[1,2,2,2,1] [2,1,3,6,8,5,7,4]=>1000101=>[1,4,2,1] [1,2,3,8,6,7,4,5]=>0001010=>[4,2,2] [1,2,3,8,7,5,4,6]=>0001110=>[4,1,1,2] [1,2,3,8,7,4,5,6]=>0001100=>[4,1,3] [1,2,3,8,5,7,4,6]=>0001010=>[4,2,2] [2,1,3,6,8,7,4,5]=>1000110=>[1,4,1,2] [5,4,1,2,8,7,6,3]=>1100111=>[1,1,3,1,1,1] [3,1,6,2,8,7,5,4]=>1010111=>[1,2,2,1,1,1] [1,2,3,4,5,9,6,7,8]=>00000100=>[6,3] [1,2,3,4,9,5,6,7,8]=>00001000=>[5,4] [1,2,3,9,4,5,6,7,8]=>00010000=>[4,5] [1,2,9,3,4,5,6,7,8]=>00100000=>[3,6] [1,2,3,4,5,6,7,10,8,9]=>000000010=>[8,2] [1,2,3,4,5,9,7,6,8]=>00000110=>[6,1,2] [1,2,3,4,5,6,10,7,8,9]=>000000100=>[7,3] [1,2,3,4,9,6,5,7,8]=>00001100=>[5,1,3] [1,2,3,4,5,10,6,7,8,9]=>000001000=>[6,4] [1,2,8,4,5,3,6,7]=>0010100=>[3,2,3] [1,2,3,9,5,4,6,7,8]=>00011000=>[4,1,4] [1,2,3,4,10,5,6,7,8,9]=>000010000=>[5,5] [1,8,3,4,2,5,6,7]=>0101000=>[2,2,4] [1,2,9,4,3,5,6,7,8]=>00110000=>[3,1,5] [1,2,3,10,4,5,6,7,8,9]=>000100000=>[4,6] [1,8,4,3,2,5,6,7]=>0111000=>[2,1,1,4] [1,9,3,2,4,5,6,7,8]=>01100000=>[2,1,6] [1,2,10,3,4,5,6,7,8,9]=>001000000=>[3,7] [8,4,7,6,5,3,2,1]=>1011111=>[1,2,1,1,1,1,1] [8,4,7,5,6,3,2,1]=>1010111=>[1,2,2,1,1,1] [8,5,7,4,6,3,2,1]=>1010111=>[1,2,2,1,1,1] [8,7,6,3,5,4,2,1]=>1110111=>[1,1,1,2,1,1,1] [8,6,7,3,5,4,2,1]=>1010111=>[1,2,2,1,1,1] [8,5,7,3,6,4,2,1]=>1010111=>[1,2,2,1,1,1] [8,1,7,4,6,5,3,2]=>1010111=>[1,2,2,1,1,1] [8,1,7,3,6,5,4,2]=>1010111=>[1,2,2,1,1,1] [8,2,7,3,6,5,4,1]=>1010111=>[1,2,2,1,1,1] [8,3,7,2,6,5,4,1]=>1010111=>[1,2,2,1,1,1] [8,5,7,2,6,4,3,1]=>1010111=>[1,2,2,1,1,1] [8,6,7,2,5,4,3,1]=>1010111=>[1,2,2,1,1,1] [8,7,6,2,5,4,3,1]=>1110111=>[1,1,1,2,1,1,1] [8,4,7,1,6,5,3,2]=>1010111=>[1,2,2,1,1,1] [8,3,7,1,6,5,4,2]=>1010111=>[1,2,2,1,1,1] [8,2,7,1,6,5,4,3]=>1010111=>[1,2,2,1,1,1] [8,1,7,2,6,5,4,3]=>1010111=>[1,2,2,1,1,1] [8,7,6,2,5,3,4,1]=>1110101=>[1,1,1,2,2,1] [8,1,7,6,5,3,4,2]=>1011101=>[1,2,1,1,2,1] [8,3,7,6,5,2,4,1]=>1011101=>[1,2,1,1,2,1] [8,4,7,6,5,2,3,1]=>1011101=>[1,2,1,1,2,1] [8,5,7,6,4,2,3,1]=>1011101=>[1,2,1,1,2,1] [8,6,7,5,4,1,3,2]=>1011101=>[1,2,1,1,2,1] [8,5,7,6,4,1,3,2]=>1011101=>[1,2,1,1,2,1] [8,3,7,6,5,1,4,2]=>1011101=>[1,2,1,1,2,1] [8,7,6,4,5,1,3,2]=>1110101=>[1,1,1,2,2,1] [8,7,6,2,5,1,4,3]=>1110101=>[1,1,1,2,2,1] [8,7,6,1,5,2,4,3]=>1110101=>[1,1,1,2,2,1] [6,8,1,3,2,5,4,7]=>0101010=>[2,2,2,2] [6,8,1,4,2,5,3,7]=>0101010=>[2,2,2,2] [7,8,3,6,1,4,2,5]=>0101010=>[2,2,2,2] [7,8,2,5,3,6,1,4]=>0101010=>[2,2,2,2] [7,8,2,5,1,4,3,6]=>0101010=>[2,2,2,2] [7,8,1,4,3,6,2,5]=>0101010=>[2,2,2,2] [5,8,1,4,3,7,2,6]=>0101010=>[2,2,2,2] [6,8,2,5,1,4,3,7]=>0101010=>[2,2,2,2] [6,8,2,5,3,7,1,4]=>0101010=>[2,2,2,2] [6,8,2,5,4,7,1,3]=>0101010=>[2,2,2,2] [2,5,4,7,6,8,1,3]=>0101010=>[2,2,2,2] [2,5,3,7,6,8,1,4]=>0101010=>[2,2,2,2] [2,5,1,4,3,7,6,8]=>0101010=>[2,2,2,2] [2,6,1,4,3,7,5,8]=>0101010=>[2,2,2,2] [2,6,5,8,1,4,3,7]=>0101010=>[2,2,2,2] [2,6,1,5,3,7,4,8]=>0101010=>[2,2,2,2] [2,6,3,7,4,8,1,5]=>0101010=>[2,2,2,2] [2,6,4,7,5,8,1,3]=>0101010=>[2,2,2,2] [5,8,3,6,4,7,1,2]=>0101010=>[2,2,2,2] [5,8,2,6,4,7,1,3]=>0101010=>[2,2,2,2] [4,8,2,6,3,7,1,5]=>0101010=>[2,2,2,2] [4,8,1,5,3,7,2,6]=>0101010=>[2,2,2,2] [4,8,1,5,2,6,3,7]=>0101010=>[2,2,2,2] [4,8,3,7,1,5,2,6]=>0101010=>[2,2,2,2] [6,8,3,7,1,4,2,5]=>0101010=>[2,2,2,2] [5,8,1,3,2,6,4,7]=>0101010=>[2,2,2,2] [5,8,4,7,1,3,2,6]=>0101010=>[2,2,2,2] [6,8,4,7,1,3,2,5]=>0101010=>[2,2,2,2] [6,8,5,7,1,3,2,4]=>0101010=>[2,2,2,2] [5,7,6,8,2,4,1,3]=>0101010=>[2,2,2,2] [4,7,6,8,1,3,2,5]=>0101010=>[2,2,2,2] [4,7,5,8,1,3,2,6]=>0101010=>[2,2,2,2] [4,7,1,3,2,6,5,8]=>0101010=>[2,2,2,2] [3,7,1,4,2,6,5,8]=>0101010=>[2,2,2,2] [3,7,5,8,1,4,2,6]=>0101010=>[2,2,2,2] [3,7,6,8,1,4,2,5]=>0101010=>[2,2,2,2] [3,7,6,8,2,5,1,4]=>0101010=>[2,2,2,2] [4,7,6,8,2,5,1,3]=>0101010=>[2,2,2,2] [4,7,5,8,3,6,1,2]=>0101010=>[2,2,2,2] [4,7,5,8,2,6,1,3]=>0101010=>[2,2,2,2] [3,7,5,8,2,6,1,4]=>0101010=>[2,2,2,2] [3,7,4,8,2,6,1,5]=>0101010=>[2,2,2,2] [3,7,4,8,1,5,2,6]=>0101010=>[2,2,2,2] [3,7,1,5,2,6,4,8]=>0101010=>[2,2,2,2] [3,7,2,6,1,5,4,8]=>0101010=>[2,2,2,2] [3,7,2,6,5,8,1,4]=>0101010=>[2,2,2,2] [4,7,3,6,5,8,1,2]=>0101010=>[2,2,2,2] [3,6,5,8,4,7,1,2]=>0101010=>[2,2,2,2] [2,6,5,8,4,7,1,3]=>0101010=>[2,2,2,2] [2,6,5,8,3,7,1,4]=>0101010=>[2,2,2,2] [2,6,3,7,1,5,4,8]=>0101010=>[2,2,2,2] [7,6,4,2,8,5,3,1]=>1110111=>[1,1,1,2,1,1,1] [7,6,4,3,8,2,5,1]=>1110101=>[1,1,1,2,2,1] [7,6,4,8,5,2,3,1]=>1101101=>[1,1,2,1,2,1] [6,8,4,3,7,2,1,5]=>0110110=>[2,1,2,1,2] [6,7,4,3,5,1,8,2]=>0110101=>[2,1,2,2,1] [6,7,3,5,4,8,2,1]=>0101011=>[2,2,2,1,1] [6,8,3,7,5,2,4,1]=>0101101=>[2,2,1,2,1] [7,6,8,3,5,2,4,1]=>1010101=>[1,2,2,2,1] [7,6,3,5,8,2,4,1]=>1100101=>[1,1,3,2,1] [7,6,3,5,2,4,8,1]=>1101001=>[1,1,2,3,1] [7,6,4,2,5,1,8,3]=>1110101=>[1,1,1,2,2,1] [7,6,2,8,4,1,5,3]=>1101101=>[1,1,2,1,2,1] [7,6,3,8,2,4,1,5]=>1101010=>[1,1,2,2,2] [7,6,3,4,8,2,5,1]=>1100101=>[1,1,3,2,1] [6,8,3,7,4,5,2,1]=>0101011=>[2,2,2,1,1] [6,7,3,5,8,4,2,1]=>0100111=>[2,3,1,1,1] [5,7,8,3,6,2,1,4]=>0010110=>[3,2,1,2] [5,8,3,6,7,2,1,4]=>0100110=>[2,3,1,2] [6,3,4,8,7,2,5,1]=>1001101=>[1,3,1,2,1] [6,3,8,4,7,2,1,5]=>1010110=>[1,2,2,1,2] [6,2,8,4,1,7,5,3]=>1011011=>[1,2,1,2,1,1] [6,2,7,4,1,5,3,8]=>1011010=>[1,2,1,2,2] [6,3,4,7,5,8,2,1]=>1001011=>[1,3,2,1,1] [6,3,5,7,8,4,2,1]=>1000111=>[1,4,1,1,1] [5,7,3,6,8,2,1,4]=>0100110=>[2,3,1,2] [5,6,8,3,7,2,1,4]=>0010110=>[3,2,1,2] [5,6,7,3,4,1,8,2]=>0010101=>[3,2,2,1] [4,6,7,8,3,5,2,1]=>0001011=>[4,2,1,1] [4,6,8,3,5,7,2,1]=>0010011=>[3,3,1,1] [4,7,3,5,6,8,2,1]=>0100011=>[2,4,1,1] [4,7,3,5,8,2,6,1]=>0100101=>[2,3,2,1] [5,3,4,7,8,2,1,6]=>1000110=>[1,4,1,2] [5,3,8,2,4,1,6,7]=>1010100=>[1,2,2,3] [5,3,4,8,2,6,1,7]=>1001010=>[1,3,2,2] [4,8,3,6,2,5,7,1]=>0101001=>[2,2,3,1] [4,8,3,5,7,2,6,1]=>0100101=>[2,3,2,1] [4,8,3,5,6,7,2,1]=>0100011=>[2,4,1,1] [4,7,8,3,5,6,2,1]=>0010011=>[3,3,1,1] [4,7,8,3,6,2,5,1]=>0010101=>[3,2,2,1] [4,8,3,6,7,2,5,1]=>0100101=>[2,3,2,1] [4,8,3,7,2,5,6,1]=>0101001=>[2,2,3,1] [5,3,4,8,2,7,6,1]=>1001011=>[1,3,2,1,1] [5,3,8,2,4,1,7,6]=>1010101=>[1,2,2,2,1] [5,2,8,4,1,7,3,6]=>1011010=>[1,2,1,2,2] [6,4,2,5,1,8,7,3]=>1101011=>[1,1,2,2,1,1] [6,4,3,5,8,2,1,7]=>1100110=>[1,1,3,1,2] [6,3,5,8,7,2,4,1]=>1001101=>[1,3,1,2,1] [5,8,3,7,2,6,4,1]=>0101011=>[2,2,2,1,1] [5,7,3,4,8,2,1,6]=>0100110=>[2,3,1,2] [5,8,4,2,3,1,6,7]=>0110100=>[2,1,2,3] [5,8,4,2,3,1,7,6]=>0110101=>[2,1,2,2,1] [6,4,5,3,8,2,1,7]=>1010110=>[1,2,2,1,2] [6,4,8,5,3,7,2,1]=>1011011=>[1,2,1,2,1,1] [6,4,3,8,5,7,2,1]=>1101011=>[1,1,2,2,1,1] [6,4,2,8,5,3,1,7]=>1101110=>[1,1,2,1,1,2] [6,4,2,7,3,1,8,5]=>1101101=>[1,1,2,1,2,1] [6,4,3,7,8,5,2,1]=>1100111=>[1,1,3,1,1,1] [6,4,5,3,7,1,8,2]=>1010101=>[1,2,2,2,1] [5,7,4,2,3,1,6,8]=>0110100=>[2,1,2,3] [5,6,3,7,1,8,2,4]=>0101010=>[2,2,2,2] [5,6,3,4,7,1,8,2]=>0100101=>[2,3,2,1] [5,6,3,4,8,2,1,7]=>0100110=>[2,3,1,2] [6,3,5,7,4,8,2,1]=>1001011=>[1,3,2,1,1] [6,3,5,4,7,8,2,1]=>1010011=>[1,2,3,1,1] [6,4,3,5,7,1,8,2]=>1100101=>[1,1,3,2,1] [6,4,2,5,1,7,3,8]=>1101010=>[1,1,2,2,2] [5,3,7,2,4,1,6,8]=>1010100=>[1,2,2,3] [5,3,4,7,2,6,1,8]=>1001010=>[1,3,2,2] [4,7,3,6,2,5,8,1]=>0101001=>[2,2,3,1] [4,7,3,6,8,2,5,1]=>0100101=>[2,3,2,1] [4,6,7,3,5,8,2,1]=>0010011=>[3,3,1,1] [4,5,7,8,3,6,2,1]=>0001011=>[4,2,1,1] [4,5,8,3,6,7,2,1]=>0010011=>[3,3,1,1] [4,5,8,3,7,2,6,1]=>0010101=>[3,2,2,1] [5,3,4,6,8,2,1,7]=>1000110=>[1,4,1,2] [5,3,6,8,2,1,4,7]=>1001100=>[1,3,1,3] [5,3,6,7,1,8,2,4]=>1001010=>[1,3,2,2] [5,3,4,6,7,1,8,2]=>1000101=>[1,4,2,1] [4,6,3,5,7,8,2,1]=>0100011=>[2,4,1,1] [4,5,7,3,6,8,2,1]=>0010011=>[3,3,1,1] [4,5,6,8,3,7,2,1]=>0001011=>[4,2,1,1] [5,7,4,8,6,3,2,1]=>0101111=>[2,2,1,1,1,1] [3,2,6,5,1,8,7,4]=>1011011=>[1,2,1,2,1,1] [3,5,6,7,2,8,4,1]=>0001011=>[4,2,1,1] [7,6,9,8,5,4,3,2,1]=>10111111=>[1,2,1,1,1,1,1,1] [6,5,4,9,8,7,3,2,1]=>11011111=>[1,1,2,1,1,1,1,1] [6,8,5,9,7,4,3,2,1]=>01011111=>[2,2,1,1,1,1,1] [6,7,8,9,5,4,3,2,1]=>00011111=>[4,1,1,1,1,1] [5,4,3,2,9,8,7,6,1]=>11101111=>[1,1,1,2,1,1,1,1] [5,8,4,3,9,7,6,2,1]=>01101111=>[2,1,2,1,1,1,1] [5,4,7,6,9,8,3,2,1]=>10101111=>[1,2,2,1,1,1,1] [5,7,8,4,9,6,3,2,1]=>00101111=>[3,2,1,1,1,1] [5,6,7,8,9,4,3,2,1]=>00001111=>[5,1,1,1,1] [4,8,3,2,1,9,7,6,5]=>01110111=>[2,1,1,2,1,1,1] [4,3,7,6,2,9,8,5,1]=>10110111=>[1,2,1,2,1,1,1] [4,7,8,3,2,9,6,5,1]=>00110111=>[3,1,2,1,1,1] [4,6,3,8,5,9,7,2,1]=>01010111=>[2,2,2,1,1,1] [4,6,7,8,3,9,5,2,1]=>00010111=>[4,2,1,1,1] [4,5,6,7,8,9,3,2,1]=>00000111=>[6,1,1,1] [3,2,1,6,5,4,9,8,7]=>11011011=>[1,1,2,1,2,1,1] [3,6,2,8,5,1,9,7,4]=>01011011=>[2,2,1,2,1,1] [3,6,7,8,2,1,9,5,4]=>00011011=>[4,1,2,1,1] [3,2,5,4,7,6,9,8,1]=>10101011=>[1,2,2,2,1,1] [3,5,7,2,8,4,9,6,1]=>00101011=>[3,2,2,1,1] [3,5,6,7,8,2,9,4,1]=>00001011=>[5,2,1,1] [3,4,5,6,7,8,9,2,1]=>00000011=>[7,1,1] [2,4,6,7,1,8,3,9,5]=>00010101=>[4,2,2,1] [2,4,5,6,7,8,1,9,3]=>00000101=>[6,2,1] [8,7,10,9,6,5,4,3,2,1]=>101111111=>[1,2,1,1,1,1,1,1,1] [8,9,10,7,6,5,4,3,2,1]=>001111111=>[3,1,1,1,1,1,1,1] [7,6,5,10,9,8,4,3,2,1]=>110111111=>[1,1,2,1,1,1,1,1,1] [7,9,6,10,8,5,4,3,2,1]=>010111111=>[2,2,1,1,1,1,1,1] [7,8,9,10,6,5,4,3,2,1]=>000111111=>[4,1,1,1,1,1,1] [6,5,4,3,10,9,8,7,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [6,9,5,4,10,8,7,3,2,1]=>011011111=>[2,1,2,1,1,1,1,1] [6,5,8,7,10,9,4,3,2,1]=>101011111=>[1,2,2,1,1,1,1,1] [6,8,9,5,10,7,4,3,2,1]=>001011111=>[3,2,1,1,1,1,1] [5,4,3,2,1,10,9,8,7,6]=>111101111=>[1,1,1,1,2,1,1,1,1] [5,9,4,3,2,10,8,7,6,1]=>011101111=>[2,1,1,2,1,1,1,1] [5,4,8,7,3,10,9,6,2,1]=>101101111=>[1,2,1,2,1,1,1,1] [5,8,9,4,3,10,7,6,2,1]=>001101111=>[3,1,2,1,1,1,1] [5,7,4,9,6,10,8,3,2,1]=>010101111=>[2,2,2,1,1,1,1] [5,6,7,8,9,10,4,3,2,1]=>000001111=>[6,1,1,1,1] [4,3,8,7,2,1,10,9,6,5]=>101110111=>[1,2,1,1,2,1,1,1] [4,8,9,3,2,1,10,7,6,5]=>001110111=>[3,1,1,2,1,1,1] [4,3,2,7,6,5,10,9,8,1]=>110110111=>[1,1,2,1,2,1,1,1] [4,7,3,9,6,2,10,8,5,1]=>010110111=>[2,2,1,2,1,1,1] [4,7,8,9,3,2,10,6,5,1]=>000110111=>[4,1,2,1,1,1] [4,3,6,5,8,7,10,9,2,1]=>101010111=>[1,2,2,2,1,1,1] [4,6,7,8,9,3,10,5,2,1]=>000010111=>[5,2,1,1,1] [4,5,6,7,8,9,10,3,2,1]=>000000111=>[7,1,1,1] [3,6,2,1,9,5,4,10,8,7]=>011011011=>[2,1,2,1,2,1,1] [3,2,6,5,8,7,1,10,9,4]=>101011011=>[1,2,2,1,2,1,1] [3,6,8,2,9,5,1,10,7,4]=>001011011=>[3,2,1,2,1,1] [3,6,7,8,9,2,1,10,5,4]=>000011011=>[5,1,2,1,1] [3,5,7,8,2,9,4,10,6,1]=>000101011=>[4,2,2,1,1] [3,5,6,7,8,9,2,10,4,1]=>000001011=>[6,2,1,1] [3,4,5,6,7,8,9,10,2,1]=>000000011=>[8,1,1] [2,4,6,1,8,3,9,5,10,7]=>001010101=>[3,2,2,2,1] [2,4,6,7,8,1,9,3,10,5]=>000010101=>[5,2,2,1] [2,4,5,6,7,8,9,1,10,3]=>000000101=>[7,2,1] [1,6,2,5,3,4,8,7]=>0101001=>[2,2,3,1] [1,3,8,2,4,6,5,7]=>0010010=>[3,3,2] [1,7,2,3,6,4,8,5]=>0100101=>[2,3,2,1] [1,6,8,2,5,3,7,4]=>0010101=>[3,2,2,1] [1,8,2,5,3,4,7,6]=>0101001=>[2,2,3,1] [1,8,2,3,6,4,7,5]=>0100101=>[2,3,2,1] [1,3,5,2,8,4,7,6]=>0010101=>[3,2,2,1] [1,2,7,3,5,4,6,8]=>0010100=>[3,2,3] [1,8,2,7,3,4,6,5]=>0101001=>[2,2,3,1] [1,5,8,2,3,7,4,6]=>0010010=>[3,3,2] [1,6,8,2,3,5,4,7]=>0010010=>[3,3,2] [5,3,6,1,2,4,8,7]=>1010001=>[1,2,4,1] [7,1,5,8,4,2,3,6]=>1001100=>[1,3,1,3] [8,1,5,7,4,2,3,6]=>1001100=>[1,3,1,3] [7,1,4,5,8,2,3,6]=>1000100=>[1,4,3] [7,4,1,6,2,8,3,5]=>1101010=>[1,1,2,2,2] [8,4,1,7,2,6,3,5]=>1101010=>[1,1,2,2,2] [8,1,4,7,5,2,3,6]=>1001100=>[1,3,1,3] [8,1,5,4,7,2,3,6]=>1010100=>[1,2,2,3] [2,1,7,5,8,3,4,6]=>1010100=>[1,2,2,3] [7,1,5,4,8,2,3,6]=>1010100=>[1,2,2,3] [7,1,4,8,5,2,3,6]=>1001100=>[1,3,1,3] [6,4,1,7,2,3,8,5]=>1101001=>[1,1,2,3,1] [7,8,3,1,2,4,6,5]=>0110001=>[2,1,4,1] [8,7,1,6,4,2,3,5]=>1101100=>[1,1,2,1,3] [8,6,1,7,4,2,3,5]=>1101100=>[1,1,2,1,3] [7,6,1,8,4,2,3,5]=>1101100=>[1,1,2,1,3] [7,3,8,1,2,4,6,5]=>1010001=>[1,2,4,1] [8,3,7,1,2,4,6,5]=>1010001=>[1,2,4,1] [8,3,6,1,2,4,7,5]=>1010001=>[1,2,4,1] [8,3,7,5,1,2,4,6]=>1011000=>[1,2,1,4] [7,3,6,1,2,4,8,5]=>1010001=>[1,2,4,1] [6,7,1,8,4,2,3,5]=>0101100=>[2,2,1,3] [6,8,1,7,4,2,3,5]=>0101100=>[2,2,1,3] [7,1,8,5,4,2,3,6]=>1011100=>[1,2,1,1,3] [7,1,8,4,5,2,3,6]=>1010100=>[1,2,2,3] [2,1,7,8,5,3,4,6]=>1001100=>[1,3,1,3] [7,6,3,1,2,4,8,5]=>1110001=>[1,1,1,4,1] [6,1,2,3,8,7,5,4]=>1000111=>[1,4,1,1,1] [6,8,1,4,2,3,7,5]=>0101001=>[2,2,3,1] [6,8,3,1,2,7,4,5]=>0110010=>[2,1,3,2] [6,7,3,1,2,8,4,5]=>0110010=>[2,1,3,2] [6,7,1,4,2,3,8,5]=>0101001=>[2,2,3,1] [4,3,6,8,5,7,1,2]=>1001010=>[1,3,2,2] [6,1,2,5,4,8,3,7]=>1001010=>[1,3,2,2] [3,2,8,5,4,1,7,6]=>1011101=>[1,2,1,1,2,1] [7,8,2,1,4,6,3,5]=>0110010=>[2,1,3,2] [7,2,1,5,8,3,4,6]=>1100100=>[1,1,3,3] [2,4,8,5,1,3,6,7]=>0011000=>[3,1,4] [3,5,6,1,8,4,2,7]=>0010110=>[3,2,1,2] [1,3,6,8,7,4,2,5]=>0001110=>[4,1,1,2] [1,2,8,5,7,3,4,6]=>0010100=>[3,2,3] [2,6,1,5,8,3,4,7]=>0100100=>[2,3,3] [5,7,1,6,8,4,3,2]=>0100111=>[2,3,1,1,1] [4,8,1,2,5,7,3,6]=>0100010=>[2,4,2] [8,4,6,2,5,7,3,1]=>1010011=>[1,2,3,1,1] [8,3,6,4,7,2,5,1]=>1010101=>[1,2,2,2,1] [3,8,1,4,7,2,5,6]=>0100100=>[2,3,3] [1,7,8,4,6,2,5,3]=>0010101=>[3,2,2,1] [3,7,4,8,5,1,6,2]=>0101101=>[2,2,1,2,1] [3,7,1,6,5,4,8,2]=>0101101=>[2,2,1,2,1] [2,7,3,1,5,8,4,6]=>0110010=>[2,1,3,2] [2,7,4,6,8,1,3,5]=>0100100=>[2,3,3] [2,7,5,8,6,4,1,3]=>0101110=>[2,2,1,1,2] [8,2,6,7,5,4,3,1]=>1001111=>[1,3,1,1,1,1] [3,8,7,1,6,4,5,2]=>0110101=>[2,1,2,2,1] [3,6,8,2,7,4,1,5]=>0010110=>[3,2,1,2] [1,5,2,8,7,4,6,3]=>0101101=>[2,2,1,2,1] [3,4,2,7,8,1,6,5]=>0100101=>[2,3,2,1] [4,1,3,7,5,6,8,2]=>1001001=>[1,3,3,1] [6,3,8,1,7,4,2,5]=>1010110=>[1,2,2,1,2] [6,5,8,7,1,4,2,3]=>1011010=>[1,2,1,2,2] [4,1,7,3,8,5,2,6]=>1010110=>[1,2,2,1,2] [3,6,1,4,5,8,2,7]=>0100010=>[2,4,2] [1,6,7,4,5,3,8,2]=>0010101=>[3,2,2,1] [6,1,7,3,5,4,8,2]=>1010101=>[1,2,2,2,1] [6,3,1,2,5,8,4,7]=>1100010=>[1,1,4,2] [1,4,7,2,8,5,3,6]=>0010110=>[3,2,1,2] [5,6,8,7,2,4,1,3]=>0011010=>[3,1,2,2] [6,8,5,7,1,2,4,3]=>0101001=>[2,2,3,1] [2,8,4,1,7,5,6,3]=>0110101=>[2,1,2,2,1] [8,2,4,3,7,5,6,1]=>1010101=>[1,2,2,2,1] [6,8,2,1,5,7,3,4]=>0110010=>[2,1,3,2] [7,2,8,4,1,6,3,5]=>1011010=>[1,2,1,2,2] [1,2,4,8,6,5,3,7]=>0001110=>[4,1,1,2] [7,1,5,6,8,4,3,2]=>1000111=>[1,4,1,1,1] [2,7,8,1,4,6,3,5]=>0010010=>[3,3,2] [4,8,2,5,7,1,6,3]=>0100101=>[2,3,2,1] [4,1,6,8,5,3,7,2]=>1001101=>[1,3,1,2,1] [5,2,6,4,8,3,1,7]=>1010110=>[1,2,2,1,2] [6,7,1,3,4,5,8,2]=>0100001=>[2,5,1] [1,7,3,2,4,8,5,6]=>0110010=>[2,1,3,2] [1,3,6,5,2,8,4,7]=>0011010=>[3,1,2,2] [7,1,6,5,3,4,8,2]=>1011001=>[1,2,1,3,1] [6,3,4,2,8,7,5,1]=>1010111=>[1,2,2,1,1,1] [4,3,8,7,5,2,6,1]=>1011101=>[1,2,1,1,2,1] [6,8,7,4,2,3,5,1]=>0111001=>[2,1,1,3,1] [3,6,4,5,2,8,7,1]=>0101011=>[2,2,2,1,1] [8,6,1,3,5,4,2,7]=>1100110=>[1,1,3,1,2] [5,3,8,6,1,2,4,7]=>1011000=>[1,2,1,4] [2,5,6,3,4,8,7,1]=>0010011=>[3,3,1,1] [2,5,3,6,8,7,4,1]=>0100111=>[2,3,1,1,1] [4,8,7,3,5,2,6,1]=>0110101=>[2,1,2,2,1] [3,8,7,2,6,4,5,1]=>0110101=>[2,1,2,2,1] [6,3,5,4,8,7,2,1]=>1010111=>[1,2,2,1,1,1] [4,3,8,6,1,5,2,7]=>1011010=>[1,2,1,2,2] [4,7,6,2,5,3,8,1]=>0110101=>[2,1,2,2,1] [7,5,2,6,8,1,4,3]=>1100101=>[1,1,3,2,1] [8,5,2,7,1,4,3,6]=>1101010=>[1,1,2,2,2] [1,8,5,3,6,2,4,7]=>0110100=>[2,1,2,3] [5,1,7,2,4,3,8,6]=>1010101=>[1,2,2,2,1] [1,5,3,4,8,6,2,7]=>0100110=>[2,3,1,2] [5,4,1,3,8,6,2,7]=>1100110=>[1,1,3,1,2] [5,1,8,6,3,4,2,7]=>1011010=>[1,2,1,2,2] [4,5,2,8,3,7,6,1]=>0101011=>[2,2,2,1,1] [8,2,3,7,6,4,5,1]=>1001101=>[1,3,1,2,1] [5,8,2,4,7,6,3,1]=>0100111=>[2,3,1,1,1] [6,8,2,5,3,4,7,1]=>0101001=>[2,2,3,1] [7,2,5,6,4,8,1,3]=>1001010=>[1,3,2,2] [1,6,7,4,8,2,3,5]=>0010100=>[3,2,3] [7,1,3,5,8,2,6,4]=>1000101=>[1,4,2,1] [8,2,1,3,5,6,7,4]=>1100001=>[1,1,5,1] [6,3,1,4,7,5,8,2]=>1100101=>[1,1,3,2,1] [4,1,3,8,2,6,7,5]=>1001001=>[1,3,3,1] [2,8,3,6,7,5,4,1]=>0100111=>[2,3,1,1,1] [3,1,7,2,8,5,4,6]=>1010110=>[1,2,2,1,2] [3,6,1,4,7,2,8,5]=>0100101=>[2,3,2,1] [1,5,8,4,7,2,3,6]=>0010100=>[3,2,3] [7,1,3,6,2,8,4,5]=>1001010=>[1,3,2,2] [6,2,7,4,5,8,1,3]=>1010010=>[1,2,3,2] [2,1,8,4,5,7,3,6]=>1010010=>[1,2,3,2] [1,8,5,7,3,2,4,6]=>0101100=>[2,2,1,3] [2,1,8,5,4,3,6,7]=>1011100=>[1,2,1,1,3] [2,7,4,1,5,3,8,6]=>0110101=>[2,1,2,2,1] [7,4,8,6,2,3,1,5]=>1011010=>[1,2,1,2,2] [2,7,1,4,6,3,8,5]=>0100101=>[2,3,2,1] [4,7,5,6,8,1,3,2]=>0100101=>[2,3,2,1] [7,1,3,2,8,5,4,6]=>1010110=>[1,2,2,1,2] [2,8,5,4,1,3,6,7]=>0111000=>[2,1,1,4] [5,1,7,4,2,3,8,6]=>1011001=>[1,2,1,3,1] [3,8,6,5,1,4,2,7]=>0111010=>[2,1,1,2,2] [1,3,4,8,6,5,2,7]=>0001110=>[4,1,1,2] [4,1,8,6,5,3,2,7]=>1011110=>[1,2,1,1,1,2] [4,8,5,2,7,3,6,1]=>0110101=>[2,1,2,2,1] [7,2,8,5,3,6,4,1]=>1011011=>[1,2,1,2,1,1] [5,2,8,4,3,7,6,1]=>1011011=>[1,2,1,2,1,1] [8,4,7,5,2,3,6,1]=>1011001=>[1,2,1,3,1] [7,5,2,8,4,6,1,3]=>1101010=>[1,1,2,2,2] [5,7,4,3,6,2,8,1]=>0110101=>[2,1,2,2,1] [6,7,5,1,2,8,3,4]=>0110010=>[2,1,3,2] [5,2,6,8,3,4,7,1]=>1001001=>[1,3,3,1] [7,6,2,4,5,8,3,1]=>1100011=>[1,1,4,1,1] [3,6,8,4,7,2,5,1]=>0010101=>[3,2,2,1] [7,6,3,8,4,2,5,1]=>1101101=>[1,1,2,1,2,1] [2,6,3,8,4,7,5,1]=>0101011=>[2,2,2,1,1] [7,2,3,6,5,8,4,1]=>1001011=>[1,3,2,1,1] [6,2,7,5,8,3,1,4]=>1010110=>[1,2,2,1,2] [2,8,3,6,4,5,7,1]=>0101001=>[2,2,3,1] [2,1,5,6,8,3,7,4]=>1000101=>[1,4,2,1] [5,8,1,2,6,4,7,3]=>0100101=>[2,3,2,1] [1,6,8,3,2,7,4,5]=>0011010=>[3,1,2,2] [6,5,7,2,8,4,1,3]=>1010110=>[1,2,2,1,2] [7,5,1,2,8,4,6,3]=>1100101=>[1,1,3,2,1] [5,4,8,3,6,2,7,1]=>1010101=>[1,2,2,2,1] [5,8,2,7,4,3,6,1]=>0101101=>[2,2,1,2,1] [6,4,5,8,2,7,3,1]=>1001011=>[1,3,2,1,1] [5,7,3,6,4,8,2,1]=>0101011=>[2,2,2,1,1] [1,5,6,4,8,2,7,3]=>0010101=>[3,2,2,1] [3,1,5,6,4,8,7,2]=>1001011=>[1,3,2,1,1] [1,3,6,2,5,7,8,4]=>0010001=>[3,4,1] [1,4,6,3,5,7,8,2]=>0010001=>[3,4,1] [3,5,1,6,4,7,8,2]=>0101001=>[2,2,3,1] [3,6,1,4,2,7,8,5]=>0101001=>[2,2,3,1] [2,4,6,3,1,7,8,5]=>0011001=>[3,1,3,1] [1,3,6,5,2,7,8,4]=>0011001=>[3,1,3,1] [1,2,6,4,3,8,5,7]=>0011010=>[3,1,2,2] [1,2,6,3,5,8,7,4]=>0010011=>[3,3,1,1] [2,3,5,1,8,4,7,6]=>0010101=>[3,2,2,1] [2,3,6,1,8,5,4,7]=>0010110=>[3,2,1,2] [1,2,7,4,6,8,3,5]=>0010010=>[3,3,2] [2,3,7,5,1,8,4,6]=>0011010=>[3,1,2,2] [4,7,2,5,3,8,6,1]=>0101011=>[2,2,2,1,1] [3,1,7,5,4,8,6,2]=>1011011=>[1,2,1,2,1,1] [1,2,7,6,4,8,5,3]=>0011011=>[3,1,2,1,1] [1,2,7,3,6,8,5,4]=>0010011=>[3,3,1,1] [2,3,6,1,8,5,7,4]=>0010101=>[3,2,2,1] [3,1,5,4,8,7,6,2]=>1010111=>[1,2,2,1,1,1] [1,2,5,8,4,7,3,6]=>0001010=>[4,2,2] [1,2,6,8,5,4,7,3]=>0001101=>[4,1,2,1] [1,3,6,8,5,2,7,4]=>0001101=>[4,1,2,1] [3,5,7,4,8,2,1,6]=>0010110=>[3,2,1,2] [2,4,7,6,8,3,1,5]=>0010110=>[3,2,1,2] [1,4,6,8,3,5,2,7]=>0001010=>[4,2,2] [1,3,6,8,5,2,4,7]=>0001100=>[4,1,3] [1,2,6,8,5,4,3,7]=>0001110=>[4,1,1,2] [1,2,5,8,4,3,7,6]=>0001101=>[4,1,2,1] [1,3,5,8,2,4,7,6]=>0001001=>[4,3,1] [1,3,6,8,2,5,4,7]=>0001010=>[4,2,2] [1,4,6,8,3,2,5,7]=>0001100=>[4,1,3] [3,5,7,4,8,1,2,6]=>0010100=>[3,2,3] [4,6,1,7,5,8,2,3]=>0101010=>[2,2,2,2] [2,3,6,7,5,8,1,4]=>0001010=>[4,2,2] [1,3,7,5,6,8,2,4]=>0010010=>[3,3,2] [2,3,6,5,8,1,7,4]=>0010101=>[3,2,2,1] [3,4,6,2,8,1,7,5]=>0010101=>[3,2,2,1] [3,5,4,6,8,2,1,7]=>0100110=>[2,3,1,2] [3,5,4,6,8,1,2,7]=>0100100=>[2,3,3] [1,2,4,7,5,8,3,6]=>0001010=>[4,2,2] [1,2,6,7,4,8,3,5]=>0001010=>[4,2,2] [3,6,4,7,1,8,5,2]=>0101011=>[2,2,2,1,1] [1,2,6,7,3,8,5,4]=>0001011=>[4,2,1,1] [1,2,5,7,3,8,6,4]=>0001011=>[4,2,1,1] [3,1,5,7,6,8,4,2]=>1001011=>[1,3,2,1,1] [3,5,4,6,8,2,7,1]=>0100101=>[2,3,2,1] [4,2,6,1,8,7,5,3]=>1010111=>[1,2,2,1,1,1] [3,1,6,5,8,7,4,2]=>1010111=>[1,2,2,1,1,1] [2,3,6,5,8,7,1,4]=>0010110=>[3,2,1,2] [1,2,7,4,6,8,5,3]=>0010011=>[3,3,1,1] [1,2,7,5,6,8,4,3]=>0010011=>[3,3,1,1] [3,1,6,7,5,8,4,2]=>1001011=>[1,3,2,1,1] [4,6,2,7,5,8,3,1]=>0101011=>[2,2,2,1,1] [3,5,7,4,8,2,6,1]=>0010101=>[3,2,2,1] [2,4,7,6,8,3,5,1]=>0010101=>[3,2,2,1] [1,4,6,8,3,5,7,2]=>0001001=>[4,3,1] [1,3,6,8,2,5,7,4]=>0001001=>[4,3,1] [1,3,5,8,2,7,4,6]=>0001010=>[4,2,2] [1,2,5,8,4,7,6,3]=>0001011=>[4,2,1,1] [1,2,4,8,7,3,6,5]=>0001101=>[4,1,2,1] [1,2,5,8,7,4,3,6]=>0001110=>[4,1,1,2] [1,3,5,8,7,2,4,6]=>0001100=>[4,1,3] [2,3,7,6,8,5,1,4]=>0010110=>[3,2,1,2] [5,7,1,2,8,6,4,3]=>0100111=>[2,3,1,1,1] [3,1,7,6,8,5,4,2]=>1010111=>[1,2,2,1,1,1] [1,2,6,8,5,7,4,3]=>0001011=>[4,2,1,1] [1,2,5,8,7,4,6,3]=>0001101=>[4,1,2,1] [1,2,4,8,7,6,3,5]=>0001110=>[4,1,1,2] [6,4,5,7,2,8,1,3]=>1001010=>[1,3,2,2] [5,3,4,7,2,8,1,6]=>1001010=>[1,3,2,2] [3,2,7,4,6,8,1,5]=>1010010=>[1,2,3,2] [5,3,6,2,7,1,4,8]=>1010100=>[1,2,2,3] [2,6,3,4,7,1,5,8]=>0100100=>[2,3,3] [2,7,3,4,5,8,1,6]=>0100010=>[2,4,2] [3,7,4,5,6,8,1,2]=>0100010=>[2,4,2] [2,5,7,3,6,8,1,4]=>0010010=>[3,3,2] [4,7,6,2,3,8,1,5]=>0110010=>[2,1,3,2] [7,3,5,2,4,8,1,6]=>1010010=>[1,2,3,2] [7,6,2,4,5,8,1,3]=>1100010=>[1,1,4,2] [6,5,2,3,4,8,1,7]=>1100010=>[1,1,4,2] [5,3,1,2,8,4,7,6]=>1100101=>[1,1,3,2,1] [6,5,2,3,7,1,4,8]=>1100100=>[1,1,3,3] [5,2,1,7,3,4,6,8]=>1101000=>[1,1,2,4] [5,2,1,8,3,4,6,7]=>1101000=>[1,1,2,4] [6,3,2,8,4,5,7,1]=>1101001=>[1,1,2,3,1] [7,3,1,2,8,4,6,5]=>1100101=>[1,1,3,2,1] [6,4,1,3,8,5,7,2]=>1100101=>[1,1,3,2,1] [6,2,3,1,8,4,7,5]=>1010101=>[1,2,2,2,1] [8,3,5,2,7,1,4,6]=>1010100=>[1,2,2,3] [8,6,2,4,7,1,5,3]=>1100101=>[1,1,3,2,1] [8,5,2,3,6,1,4,7]=>1100100=>[1,1,3,3] [8,2,1,7,3,4,5,6]=>1101000=>[1,1,2,4] [8,6,3,7,2,4,5,1]=>1101001=>[1,1,2,3,1] [7,1,6,2,3,4,5,8]=>1010000=>[1,2,5] [8,2,7,3,4,5,6,1]=>1010001=>[1,2,4,1] [8,1,6,2,3,4,5,7]=>1010000=>[1,2,5] [8,1,7,3,4,5,6,2]=>1010001=>[1,2,4,1] [8,6,1,7,2,4,5,3]=>1101001=>[1,1,2,3,1] [8,1,5,7,2,3,6,4]=>1001001=>[1,3,3,1] [1,7,5,8,2,3,6,4]=>0101001=>[2,2,3,1] [7,2,1,8,3,4,5,6]=>1101000=>[1,1,2,4] [7,3,8,2,4,5,6,1]=>1010001=>[1,2,4,1] [7,2,8,3,4,5,6,1]=>1010001=>[1,2,4,1] [1,7,8,3,4,5,6,2]=>0010001=>[3,4,1] [1,4,5,8,3,6,7,2]=>0001001=>[4,3,1] [2,5,7,1,8,3,6,4]=>0010101=>[3,2,2,1] [6,2,7,1,8,4,5,3]=>1010101=>[1,2,2,2,1] [4,7,1,3,8,5,6,2]=>0100101=>[2,3,2,1] [1,6,2,8,4,5,7,3]=>0101001=>[2,2,3,1] [4,1,3,6,8,2,7,5]=>1000101=>[1,4,2,1] [5,3,4,6,8,2,7,1]=>1000101=>[1,4,2,1] [4,6,3,8,7,1,2,5]=>0101100=>[2,2,1,3] [6,4,5,8,7,1,2,3]=>1001100=>[1,3,1,3] [5,3,4,8,7,1,2,6]=>1001100=>[1,3,1,3] [3,2,8,7,1,4,6,5]=>1011001=>[1,2,1,3,1] [3,1,8,7,2,4,6,5]=>1011001=>[1,2,1,3,1] [5,3,7,6,1,2,4,8]=>1011000=>[1,2,1,4] [1,8,3,7,2,4,5,6]=>0101000=>[2,2,4] [3,8,1,7,2,4,5,6]=>0101000=>[2,2,4] [6,8,2,3,5,1,4,7]=>0100100=>[2,3,3] [4,7,8,2,6,1,3,5]=>0010100=>[3,2,3] [6,2,8,7,1,4,5,3]=>1011001=>[1,2,1,3,1] [3,8,7,1,4,5,6,2]=>0110001=>[2,1,4,1] [2,8,6,1,3,4,5,7]=>0110000=>[2,1,5] [2,7,6,1,3,4,5,8]=>0110000=>[2,1,5] [1,7,6,2,3,4,5,8]=>0110000=>[2,1,5] [1,8,6,2,3,4,5,7]=>0110000=>[2,1,5] [2,8,7,3,4,5,6,1]=>0110001=>[2,1,4,1] [3,8,7,2,4,5,6,1]=>0110001=>[2,1,4,1] [7,8,3,6,2,4,5,1]=>0101001=>[2,2,3,1] [1,5,8,7,2,3,6,4]=>0011001=>[3,1,3,1] [8,7,6,1,3,4,5,2]=>1110001=>[1,1,1,4,1] [3,6,2,4,7,1,8,5]=>0100101=>[2,3,2,1] [3,4,7,2,5,1,8,6]=>0010101=>[3,2,2,1] [2,1,6,4,8,5,3,7]=>1010110=>[1,2,2,1,2] [4,1,8,5,3,2,7,6]=>1011101=>[1,2,1,1,2,1] [3,6,2,5,7,1,4,8]=>0100100=>[2,3,3] [1,2,8,3,7,5,4,6]=>0010110=>[3,2,1,2] [6,1,3,2,8,5,4,7]=>1010110=>[1,2,2,1,2] [5,6,1,2,8,4,3,7]=>0100110=>[2,3,1,2] [1,6,3,8,7,4,2,5]=>0101110=>[2,2,1,1,2] [4,3,8,1,2,6,7,5]=>1010001=>[1,2,4,1] [7,8,10,9,5,6,3,4,1,2]=>001101010=>[3,1,2,2,2] [9,10,5,6,8,7,3,4,1,2]=>010011010=>[2,3,1,2,2] [5,8,10,6,9,7,3,4,1,2]=>001011010=>[3,2,1,2,2] [5,6,7,10,9,8,3,4,1,2]=>000111010=>[4,1,1,2,2] [9,10,7,8,3,4,6,5,1,2]=>010100110=>[2,2,3,1,2] [7,8,10,9,3,4,6,5,1,2]=>001100110=>[3,1,3,1,2] [9,10,3,6,8,4,7,5,1,2]=>010010110=>[2,3,2,1,2] [3,8,10,6,9,4,7,5,1,2]=>001010110=>[3,2,2,1,2] [3,6,7,10,9,4,8,5,1,2]=>000110110=>[4,1,2,1,2] [9,10,3,4,5,8,7,6,1,2]=>010001110=>[2,4,1,1,2] [3,8,10,4,5,9,7,6,1,2]=>001001110=>[3,3,1,1,2] [3,4,7,10,5,9,8,6,1,2]=>000101110=>[4,2,1,1,2] [3,4,5,6,10,9,8,7,1,2]=>000011110=>[5,1,1,1,2] [9,10,7,8,5,6,1,2,4,3]=>010101001=>[2,2,2,3,1] [7,8,10,9,5,6,1,2,4,3]=>001101001=>[3,1,2,3,1] [9,10,5,6,8,7,1,2,4,3]=>010011001=>[2,3,1,3,1] [5,8,10,6,9,7,1,2,4,3]=>001011001=>[3,2,1,3,1] [5,6,7,10,9,8,1,2,4,3]=>000111001=>[4,1,1,3,1] [9,10,7,8,1,4,6,2,5,3]=>010100101=>[2,2,3,2,1] [7,8,10,9,1,4,6,2,5,3]=>001100101=>[3,1,3,2,1] [9,10,1,6,8,4,7,2,5,3]=>010010101=>[2,3,2,2,1] [1,8,10,6,9,4,7,2,5,3]=>001010101=>[3,2,2,2,1] [1,6,7,10,9,4,8,2,5,3]=>000110101=>[4,1,2,2,1] [9,10,1,4,5,8,7,2,6,3]=>010001101=>[2,4,1,2,1] [1,8,10,4,5,9,7,2,6,3]=>001001101=>[3,3,1,2,1] [1,4,7,10,5,9,8,2,6,3]=>000101101=>[4,2,1,2,1] [1,4,5,6,10,9,8,2,7,3]=>000011101=>[5,1,1,2,1] [9,10,7,8,1,2,3,6,5,4]=>010100011=>[2,2,4,1,1] [7,8,10,9,1,2,3,6,5,4]=>001100011=>[3,1,4,1,1] [9,10,1,6,8,2,3,7,5,4]=>010010011=>[2,3,3,1,1] [1,8,10,6,9,2,3,7,5,4]=>001010011=>[3,2,3,1,1] [1,6,7,10,9,2,3,8,5,4]=>000110011=>[4,1,3,1,1] [9,10,1,2,5,8,3,7,6,4]=>010001011=>[2,4,2,1,1] [1,8,10,2,5,9,3,7,6,4]=>001001011=>[3,3,2,1,1] [1,2,7,10,5,9,3,8,6,4]=>000101011=>[4,2,2,1,1] [1,2,5,6,10,9,3,8,7,4]=>000011011=>[5,1,2,1,1] [9,10,1,2,3,4,8,7,6,5]=>010000111=>[2,5,1,1,1] [1,8,10,2,3,4,9,7,6,5]=>001000111=>[3,4,1,1,1] [1,2,7,10,3,4,9,8,6,5]=>000100111=>[4,3,1,1,1] [1,2,3,6,10,4,9,8,7,5]=>000010111=>[5,2,1,1,1] [1,2,3,4,5,10,9,8,7,6]=>000001111=>[6,1,1,1,1] [11,12,9,10,7,8,5,6,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,5,6,7,10,9,8,3,4,1,2]=>01000111010=>[2,4,1,1,2,2] [5,6,9,12,7,11,10,8,3,4,1,2]=>00010111010=>[4,2,1,1,2,2] [11,12,3,4,7,10,5,9,8,6,1,2]=>01000101110=>[2,4,2,1,1,2] [3,4,5,6,7,12,11,10,9,8,1,2]=>00000111110=>[6,1,1,1,1,2] [11,12,9,10,7,8,5,6,1,2,4,3]=>01010101001=>[2,2,2,2,3,1] [11,12,9,10,7,8,1,4,6,2,5,3]=>01010100101=>[2,2,2,3,2,1] [11,12,9,10,1,6,8,4,7,2,5,3]=>01010010101=>[2,2,3,2,2,1] [11,12,1,8,10,6,9,4,7,2,5,3]=>01001010101=>[2,3,2,2,2,1] [1,10,12,8,11,6,9,4,7,2,5,3]=>00101010101=>[3,2,2,2,2,1] [1,8,9,12,11,6,10,4,7,2,5,3]=>00011010101=>[4,1,2,2,2,1] [1,6,9,12,7,11,10,4,8,2,5,3]=>00010110101=>[4,2,1,2,2,1] [1,4,9,12,7,11,5,10,8,2,6,3]=>00010101101=>[4,2,2,1,2,1] [1,4,5,8,12,6,11,10,9,2,7,3]=>00001011101=>[5,2,1,1,2,1] [1,4,5,6,7,12,11,10,9,2,8,3]=>00000111101=>[6,1,1,1,2,1] [7,8,9,12,11,10,1,2,3,6,5,4]=>00011100011=>[4,1,1,4,1,1] [1,10,12,8,11,6,9,2,3,7,5,4]=>00101010011=>[3,2,2,3,1,1] [1,10,12,8,11,2,5,9,3,7,6,4]=>00101001011=>[3,2,3,2,1,1] [1,10,12,2,7,11,5,9,3,8,6,4]=>00100101011=>[3,3,2,2,1,1] [1,2,9,12,7,11,5,10,3,8,6,4]=>00010101011=>[4,2,2,2,1,1] [1,2,5,6,7,12,11,10,3,9,8,4]=>00000111011=>[6,1,1,2,1,1] [1,2,7,8,12,11,3,4,10,9,6,5]=>00001100111=>[5,1,3,1,1,1] [1,2,3,6,7,12,11,4,10,9,8,5]=>00000110111=>[6,1,2,1,1,1] [11,12,1,2,3,4,5,10,9,8,7,6]=>01000001111=>[2,6,1,1,1,1] [1,2,9,12,3,4,5,11,10,8,7,6]=>00010001111=>[4,4,1,1,1,1] [1,2,3,4,5,6,12,11,10,9,8,7]=>00000011111=>[7,1,1,1,1,1] [3,1,2,4,5,6,7,8,9]=>10000000=>[1,8] [2,4,1,3,5,6,7,8,9]=>01000000=>[2,7] [2,3,5,1,4,6,7,8,9]=>00100000=>[3,6] [2,3,4,6,1,5,7,8,9]=>00010000=>[4,5] [2,3,4,5,7,1,6,8,9]=>00001000=>[5,4] [2,3,4,5,6,8,1,7,9]=>00000100=>[6,3] [3,6,8,7,1,2,5,4]=>0011001=>[3,1,3,1] [6,2,8,5,4,7,1,3]=>1011010=>[1,2,1,2,2] [6,5,7,2,4,8,1,3]=>1010010=>[1,2,3,2] [3,4,1,6,5,8,7,2]=>0101011=>[2,2,2,1,1] [3,5,1,2,4,8,7,6]=>0100011=>[2,4,1,1] [3,7,5,2,1,4,6,8]=>0111000=>[2,1,1,4] [3,8,5,2,7,4,1,6]=>0110110=>[2,1,2,1,2] [5,2,8,4,7,3,1,6]=>1010110=>[1,2,2,1,2] [5,2,7,4,1,3,6,8]=>1011000=>[1,2,1,4] [4,3,5,1,2,8,7,6]=>1010011=>[1,2,3,1,1] [3,1,4,6,2,8,7,5]=>1001011=>[1,3,2,1,1] [1,4,6,5,2,8,7,3]=>0011011=>[3,1,2,1,1] [3,4,5,6,1,8,7,2]=>0001011=>[4,2,1,1] [3,4,5,8,7,2,1,6]=>0001110=>[4,1,1,2] [1,4,7,2,6,3,5,8]=>0010100=>[3,2,3] [8,4,7,5,2,1,6,3]=>1011101=>[1,2,1,1,2,1] [8,1,4,7,2,3,6,5]=>1001001=>[1,3,3,1] [1,8,5,7,3,4,6,2]=>0101001=>[2,2,3,1] [6,3,5,1,7,4,2,8]=>1010110=>[1,2,2,1,2] [6,1,4,8,7,3,2,5]=>1001110=>[1,3,1,1,2] [6,4,8,5,7,1,2,3]=>1010100=>[1,2,2,3] [5,4,8,1,6,3,2,7]=>1010110=>[1,2,2,1,2] [1,4,8,6,3,7,2,5]=>0011010=>[3,1,2,2] [5,4,7,6,3,8,1,2]=>1011010=>[1,2,1,2,2] [4,6,3,7,5,8,1,2]=>0101010=>[2,2,2,2] [4,1,3,5,8,6,2,7]=>1000110=>[1,4,1,2] [5,7,4,3,8,1,2,6]=>0110100=>[2,1,2,3] [1,4,8,3,7,6,5,2]=>0010111=>[3,2,1,1,1] [4,3,8,2,1,6,5,7]=>1011010=>[1,2,1,2,2] [3,8,4,2,7,1,5,6]=>0110100=>[2,1,2,3] [3,1,2,5,7,6,4,8]=>1000110=>[1,4,1,2] [1,8,2,7,6,5,4,3]=>0101111=>[2,2,1,1,1,1] [3,8,1,6,7,5,4,2]=>0100111=>[2,3,1,1,1] [3,7,2,6,8,5,1,4]=>0100110=>[2,3,1,2] [7,2,3,8,5,6,1,4]=>1001010=>[1,3,2,2] [8,2,1,7,5,6,4,3]=>1101011=>[1,1,2,2,1,1] [8,1,3,6,5,7,4,2]=>1001011=>[1,3,2,1,1] [8,2,4,3,6,1,5,7]=>1010100=>[1,2,2,3] [1,7,8,5,4,3,6,2]=>0011101=>[3,1,1,2,1] [1,8,4,5,3,2,6,7]=>0101100=>[2,2,1,3] [7,8,5,4,3,1,6,2]=>0111101=>[2,1,1,1,2,1] [7,1,6,3,4,2,5,8]=>1010100=>[1,2,2,3] [6,8,7,1,4,2,5,3]=>0110101=>[2,1,2,2,1] [3,6,1,4,2,7,5,8]=>0101010=>[2,2,2,2] [3,4,1,8,5,7,6,2]=>0101011=>[2,2,2,1,1] [3,6,5,1,2,8,4,7]=>0110010=>[2,1,3,2] [3,8,5,6,7,2,1,4]=>0100110=>[2,3,1,2] [8,1,7,6,2,4,3,5]=>1011010=>[1,2,1,2,2] [8,5,6,1,4,2,3,7]=>1010100=>[1,2,2,3] [8,6,5,4,7,1,3,2]=>1110101=>[1,1,1,2,2,1] [1,6,4,5,7,2,3,8]=>0100100=>[2,3,3] [8,3,6,1,7,2,4,5]=>1010100=>[1,2,2,3] [1,8,6,5,7,3,4,2]=>0110101=>[2,1,2,2,1] [1,7,5,3,6,8,4,2]=>0110011=>[2,1,3,1,1] [7,4,1,6,5,8,3,2]=>1101011=>[1,1,2,2,1,1] [4,1,5,8,7,6,3,2]=>1001111=>[1,3,1,1,1,1] [1,2,5,8,6,7,3,4]=>0001010=>[4,2,2] [4,2,1,5,8,7,3,6]=>1100110=>[1,1,3,1,2] [5,2,4,6,1,7,3,8]=>1001010=>[1,3,2,2] [1,5,3,6,8,7,4,2]=>0100111=>[2,3,1,1,1] [3,5,4,6,1,8,2,7]=>0101010=>[2,2,2,2] [3,1,5,7,6,8,2,4]=>1001010=>[1,3,2,2] [1,4,5,6,8,7,2,3]=>0000110=>[5,1,2] [1,4,6,3,7,2,8,5]=>0010101=>[3,2,2,1] [1,7,3,6,5,2,8,4]=>0101101=>[2,2,1,2,1] [8,6,2,5,4,1,7,3]=>1101101=>[1,1,2,1,2,1] [3,7,2,6,5,4,1,8]=>0101110=>[2,2,1,1,2] [7,6,2,5,4,3,1,8]=>1101110=>[1,1,2,1,1,2] [4,7,5,2,6,3,1,8]=>0110110=>[2,1,2,1,2] [3,2,6,4,7,5,1,8]=>1010110=>[1,2,2,1,2] [6,2,3,7,5,4,1,8]=>1001110=>[1,3,1,1,2] [1,3,4,7,6,2,8,5]=>0001101=>[4,1,2,1] [2,8,3,6,1,7,5,4]=>0101011=>[2,2,2,1,1] [8,7,2,5,1,6,4,3]=>1101011=>[1,1,2,2,1,1] [3,8,2,6,5,1,7,4]=>0101101=>[2,2,1,2,1] [7,8,2,5,4,1,6,3]=>0101101=>[2,2,1,2,1] [4,8,5,2,6,1,7,3]=>0110101=>[2,1,2,2,1] [4,5,1,3,7,2,8,6]=>0100101=>[2,3,2,1] [6,1,3,7,5,2,8,4]=>1001101=>[1,3,1,2,1] [7,1,3,6,2,8,5,4]=>1001011=>[1,3,2,1,1] [8,1,3,6,2,7,5,4]=>1001011=>[1,3,2,1,1] [1,2,4,7,3,8,6,5]=>0001011=>[4,2,1,1] [7,1,8,2,6,5,4,3]=>1010111=>[1,2,2,1,1,1] [3,1,8,6,2,7,5,4]=>1011011=>[1,2,1,2,1,1] [4,1,7,8,2,6,5,3]=>1001011=>[1,3,2,1,1] [5,6,1,8,2,7,4,3]=>0101011=>[2,2,2,1,1] [4,2,7,8,1,6,5,3]=>1001011=>[1,3,2,1,1] [3,2,8,6,1,7,5,4]=>1011011=>[1,2,1,2,1,1] [7,2,8,1,6,5,4,3]=>1010111=>[1,2,2,1,1,1] [1,8,7,2,6,5,4,3]=>0110111=>[2,1,2,1,1,1] [2,8,7,1,6,5,4,3]=>0110111=>[2,1,2,1,1,1] [3,8,7,1,6,5,4,2]=>0110111=>[2,1,2,1,1,1] [4,8,7,5,1,6,3,2]=>0111011=>[2,1,1,2,1,1] [6,7,8,5,1,4,3,2]=>0011011=>[3,1,2,1,1] [5,6,3,8,4,1,7,2]=>0101101=>[2,2,1,2,1] [7,3,8,5,4,1,6,2]=>1011101=>[1,2,1,1,2,1] [3,4,8,6,5,1,7,2]=>0011101=>[3,1,1,2,1] [8,3,7,5,1,6,4,2]=>1011011=>[1,2,1,2,1,1] [1,4,8,6,2,7,5,3]=>0011011=>[3,1,2,1,1] [8,4,6,7,1,5,3,2]=>1001011=>[1,3,2,1,1] [5,6,4,7,8,1,3,2]=>0100101=>[2,3,2,1] [3,4,6,5,1,2,8,7]=>0011001=>[3,1,3,1] [7,3,5,1,2,8,6,4]=>1010011=>[1,2,3,1,1] [1,4,6,2,3,8,7,5]=>0010011=>[3,3,1,1] [1,3,2,7,4,8,6,5]=>0101011=>[2,2,2,1,1] [7,2,1,6,3,8,5,4]=>1101011=>[1,1,2,2,1,1] [2,3,1,7,6,4,8,5]=>0101101=>[2,2,1,2,1] [4,5,2,1,7,3,8,6]=>0110101=>[2,1,2,2,1] [5,6,7,1,2,8,4,3]=>0010011=>[3,3,1,1] [4,7,5,1,2,8,6,3]=>0110011=>[2,1,3,1,1] [3,7,1,6,2,8,5,4]=>0101011=>[2,2,2,1,1] [7,6,1,2,8,5,4,3]=>1100111=>[1,1,3,1,1,1] [2,7,1,3,8,6,5,4]=>0100111=>[2,3,1,1,1] [8,6,1,2,7,5,4,3]=>1100111=>[1,1,3,1,1,1] [1,7,2,3,8,6,5,4]=>0100111=>[2,3,1,1,1] [8,7,1,2,6,5,4,3]=>1100111=>[1,1,3,1,1,1] [7,8,1,2,6,5,4,3]=>0100111=>[2,3,1,1,1] [3,8,1,6,2,7,5,4]=>0101011=>[2,2,2,1,1] [4,8,5,1,2,7,6,3]=>0110011=>[2,1,3,1,1] [5,6,8,1,2,7,4,3]=>0010011=>[3,3,1,1] [2,1,3,7,4,8,6,5]=>1001011=>[1,3,2,1,1] [4,2,7,3,6,8,1,5]=>1010010=>[1,2,3,2] [5,3,6,4,2,8,1,7]=>1011010=>[1,2,1,2,2] [4,1,5,3,8,2,7,6]=>1010101=>[1,2,2,2,1] [5,2,6,4,7,3,1,8]=>1010110=>[1,2,2,1,2] [2,6,3,4,7,5,1,8]=>0100110=>[2,3,1,2] [2,6,3,5,4,8,1,7]=>0101010=>[2,2,2,2] [2,7,4,3,5,8,1,6]=>0110010=>[2,1,3,2] [7,3,6,4,2,8,1,5]=>1011010=>[1,2,1,2,2] [7,6,4,5,2,8,1,3]=>1101010=>[1,1,2,2,2] [5,4,3,1,8,2,7,6]=>1110101=>[1,1,1,2,2,1] [6,5,4,2,7,3,1,8]=>1110110=>[1,1,1,2,1,2] [5,4,1,7,2,6,3,8]=>1101010=>[1,1,2,2,2] [5,4,1,8,3,2,6,7]=>1101100=>[1,1,2,1,3] [6,5,2,8,3,4,7,1]=>1101001=>[1,1,2,3,1] [7,4,2,1,8,3,6,5]=>1110101=>[1,1,1,2,2,1] [6,5,3,4,8,2,7,1]=>1100101=>[1,1,3,2,1] [6,1,5,3,8,2,7,4]=>1010101=>[1,2,2,2,1] [4,6,3,1,8,2,7,5]=>0110101=>[2,1,2,2,1] [5,8,4,2,7,3,1,6]=>0110110=>[2,1,2,1,2] [8,2,6,4,7,3,1,5]=>1010110=>[1,2,2,1,2] [8,6,2,5,7,4,1,3]=>1100110=>[1,1,3,1,2] [8,5,3,2,6,4,1,7]=>1110110=>[1,1,1,2,1,2] [8,3,1,7,2,5,4,6]=>1101010=>[1,1,2,2,2] [7,5,2,6,4,3,1,8]=>1101110=>[1,1,2,1,1,2] [7,1,6,2,5,4,3,8]=>1010110=>[1,2,2,1,2] [8,1,7,3,5,6,4,2]=>1010011=>[1,2,3,1,1] [8,6,1,7,4,5,2,3]=>1101010=>[1,1,2,2,2] [8,1,3,7,2,6,5,4]=>1001011=>[1,3,2,1,1] [1,7,6,8,3,2,4,5]=>0101100=>[2,2,1,3] [7,1,5,8,4,2,6,3]=>1001101=>[1,3,1,2,1] [7,3,8,4,5,2,6,1]=>1010101=>[1,2,2,2,1] [7,2,8,5,3,4,6,1]=>1011001=>[1,2,1,3,1] [6,1,8,4,3,2,5,7]=>1011100=>[1,2,1,1,3] [6,1,7,4,2,5,3,8]=>1011010=>[1,2,1,2,2] [1,2,7,3,4,6,5,8]=>0010010=>[3,3,2] [1,7,8,4,3,5,6,2]=>0011001=>[3,1,3,1] [1,6,2,8,3,5,7,4]=>0101001=>[2,2,3,1] [2,6,1,7,3,5,4,8]=>0101010=>[2,2,2,2] [3,1,5,8,4,2,6,7]=>1001100=>[1,3,1,3] [4,3,1,6,8,2,7,5]=>1100101=>[1,1,3,2,1] [5,7,4,8,3,2,1,6]=>0101110=>[2,2,1,1,2] [5,4,8,2,7,3,1,6]=>1010110=>[1,2,2,1,2] [5,2,8,7,3,4,1,6]=>1011010=>[1,2,1,2,2] [6,4,7,5,3,2,1,8]=>1011110=>[1,2,1,1,1,2] [1,8,3,7,6,2,4,5]=>0101100=>[2,2,1,3] [5,8,3,2,6,4,1,7]=>0110110=>[2,1,2,1,2] [6,8,2,4,7,5,1,3]=>0100110=>[2,3,1,2] [7,3,8,2,6,4,1,5]=>1010110=>[1,2,2,1,2] [4,6,8,2,7,3,1,5]=>0010110=>[3,2,1,2] [2,6,8,7,3,4,1,5]=>0011010=>[3,1,2,2] [7,2,8,6,3,5,1,4]=>1011010=>[1,2,1,2,2] [6,8,1,7,2,5,4,3]=>0101011=>[2,2,2,1,1] [3,8,7,4,5,6,1,2]=>0110010=>[2,1,3,2] [2,8,6,4,3,5,1,7]=>0111010=>[2,1,1,2,2] [2,7,6,3,5,4,1,8]=>0110110=>[2,1,2,1,2] [1,7,6,5,2,4,3,8]=>0111010=>[2,1,1,2,2] [1,8,6,5,3,2,4,7]=>0111100=>[2,1,1,1,3] [3,8,7,4,6,2,5,1]=>0110101=>[2,1,2,2,1] [5,8,3,7,6,2,4,1]=>0101101=>[2,2,1,2,1] [7,1,8,6,5,2,3,4]=>1011100=>[1,2,1,1,3] [8,4,7,5,3,2,1,6]=>1011110=>[1,2,1,1,1,2] [8,7,2,5,4,3,1,6]=>1101110=>[1,1,2,1,1,2] [6,8,3,2,5,4,7,1]=>0110101=>[2,1,2,2,1] [6,8,4,5,2,3,7,1]=>0101001=>[2,2,3,1] [1,5,7,8,4,3,6,2]=>0001101=>[4,1,2,1] [6,3,8,1,5,4,7,2]=>1010101=>[1,2,2,2,1] [6,2,1,8,5,4,7,3]=>1101101=>[1,1,2,1,2,1] [2,6,3,1,7,5,4,8]=>0110110=>[2,1,2,1,2] [2,6,5,7,4,1,3,8]=>0101100=>[2,2,1,3] [2,5,6,8,4,3,7,1]=>0001101=>[4,1,2,1] [2,4,7,5,8,1,6,3]=>0010101=>[3,2,2,1] [2,5,4,7,1,8,6,3]=>0101011=>[2,2,2,1,1] [5,2,1,8,7,6,4,3]=>1101111=>[1,1,2,1,1,1,1] [4,8,5,7,6,1,3,2]=>0101101=>[2,2,1,2,1] [4,8,6,7,5,3,1,2]=>0101110=>[2,2,1,1,2] [4,8,7,5,6,2,3,1]=>0110101=>[2,1,2,2,1] [6,5,4,8,2,1,7,3]=>1101101=>[1,1,2,1,2,1] [5,8,4,7,2,6,3,1]=>0101011=>[2,2,2,1,1] [1,5,7,4,8,2,6,3]=>0010101=>[3,2,2,1] [1,5,7,3,2,8,6,4]=>0011011=>[3,1,2,1,1] [5,8,3,2,7,6,4,1]=>0110111=>[2,1,2,1,1,1] [5,2,1,4,3,6,7,8]=>1101000=>[1,1,2,4] [3,5,7,4,2,6,1,8]=>0011010=>[3,1,2,2] [3,6,4,5,1,2,7,8]=>0101000=>[2,2,4] [4,2,1,6,5,3,7,8]=>1101100=>[1,1,2,1,3] [4,2,1,5,7,6,3,8]=>1100110=>[1,1,3,1,2] [4,3,5,1,7,6,2,8]=>1010110=>[1,2,2,1,2] [3,5,4,7,1,6,2,8]=>0101010=>[2,2,2,2] [3,4,7,5,6,1,2,8]=>0010100=>[3,2,3] [3,4,5,8,6,7,1,2]=>0001010=>[4,2,2] [3,5,4,6,1,8,7,2]=>0101011=>[2,2,2,1,1] [4,3,5,1,6,8,7,2]=>1010011=>[1,2,3,1,1] [4,2,1,5,6,8,7,3]=>1100011=>[1,1,4,1,1] [4,3,2,1,7,6,5,9,8,10]=>111011010=>[1,1,1,2,1,2,2] [7,3,2,1,6,5,4,9,8,10]=>111011010=>[1,1,1,2,1,2,2] [4,3,2,1,9,6,5,8,7,10]=>111011010=>[1,1,1,2,1,2,2] [6,3,2,1,9,5,4,8,7,10]=>111011010=>[1,1,1,2,1,2,2] [9,3,2,1,8,5,4,7,6,10]=>111011010=>[1,1,1,2,1,2,2] [6,5,2,1,9,4,3,8,7,10]=>111011010=>[1,1,1,2,1,2,2] [9,5,2,1,8,4,3,7,6,10]=>111011010=>[1,1,1,2,1,2,2] [4,3,2,1,7,6,5,10,8,9]=>111011010=>[1,1,1,2,1,2,2] [7,3,2,1,6,5,4,10,8,9]=>111011010=>[1,1,1,2,1,2,2] [4,3,2,1,8,6,5,10,7,9]=>111011010=>[1,1,1,2,1,2,2] [6,3,2,1,8,5,4,10,7,9]=>111011010=>[1,1,1,2,1,2,2] [8,3,2,1,7,5,4,10,6,9]=>111011010=>[1,1,1,2,1,2,2] [6,5,2,1,8,4,3,10,7,9]=>111011010=>[1,1,1,2,1,2,2] [8,5,2,1,7,4,3,10,6,9]=>111011010=>[1,1,1,2,1,2,2] [4,3,2,1,10,6,5,9,7,8]=>111011010=>[1,1,1,2,1,2,2] [6,3,2,1,10,5,4,9,7,8]=>111011010=>[1,1,1,2,1,2,2] [7,3,2,1,10,5,4,9,6,8]=>111011010=>[1,1,1,2,1,2,2] [10,3,2,1,9,5,4,8,6,7]=>111011010=>[1,1,1,2,1,2,2] [6,5,2,1,10,4,3,9,7,8]=>111011010=>[1,1,1,2,1,2,2] [7,5,2,1,10,4,3,9,6,8]=>111011010=>[1,1,1,2,1,2,2] [10,5,2,1,9,4,3,8,6,7]=>111011010=>[1,1,1,2,1,2,2] [4,3,2,1,8,7,5,10,6,9]=>111011010=>[1,1,1,2,1,2,2] [5,3,2,1,8,7,4,10,6,9]=>111011010=>[1,1,1,2,1,2,2] [8,3,2,1,7,6,4,10,5,9]=>111011010=>[1,1,1,2,1,2,2] [5,4,2,1,8,7,3,10,6,9]=>111011010=>[1,1,1,2,1,2,2] [8,4,2,1,7,6,3,10,5,9]=>111011010=>[1,1,1,2,1,2,2] [4,3,2,1,10,7,5,9,6,8]=>111011010=>[1,1,1,2,1,2,2] [5,3,2,1,10,7,4,9,6,8]=>111011010=>[1,1,1,2,1,2,2] [7,3,2,1,10,6,4,9,5,8]=>111011010=>[1,1,1,2,1,2,2] [10,3,2,1,9,6,4,8,5,7]=>111011010=>[1,1,1,2,1,2,2] [5,4,2,1,10,7,3,9,6,8]=>111011010=>[1,1,1,2,1,2,2] [7,4,2,1,10,6,3,9,5,8]=>111011010=>[1,1,1,2,1,2,2] [10,4,2,1,9,6,3,8,5,7]=>111011010=>[1,1,1,2,1,2,2] [7,6,2,1,10,5,3,9,4,8]=>111011010=>[1,1,1,2,1,2,2] [10,6,2,1,9,5,3,8,4,7]=>111011010=>[1,1,1,2,1,2,2] [5,4,3,1,8,7,2,10,6,9]=>111011010=>[1,1,1,2,1,2,2] [8,4,3,1,7,6,2,10,5,9]=>111011010=>[1,1,1,2,1,2,2] [5,4,3,1,10,7,2,9,6,8]=>111011010=>[1,1,1,2,1,2,2] [7,4,3,1,10,6,2,9,5,8]=>111011010=>[1,1,1,2,1,2,2] [10,4,3,1,9,6,2,8,5,7]=>111011010=>[1,1,1,2,1,2,2] [7,6,3,1,10,5,2,9,4,8]=>111011010=>[1,1,1,2,1,2,2] [10,6,3,1,9,5,2,8,4,7]=>111011010=>[1,1,1,2,1,2,2] [2,1,4,3,6,5,10,9,7,8]=>101010110=>[1,2,2,2,1,2] [2,1,4,3,8,7,5,6,10,9]=>101011001=>[1,2,2,1,3,1] [2,1,4,3,10,7,5,9,6,8]=>101011010=>[1,2,2,1,2,2] [2,1,4,3,10,9,8,5,6,7]=>101011100=>[1,2,2,1,1,3] [2,1,6,5,3,4,8,7,10,9]=>101100101=>[1,2,1,3,2,1] [2,1,6,5,3,4,10,9,7,8]=>101100110=>[1,2,1,3,1,2] [2,1,8,5,3,7,4,6,10,9]=>101101001=>[1,2,1,2,3,1] [2,1,10,5,3,7,4,9,6,8]=>101101010=>[1,2,1,2,2,2] [2,1,10,5,3,9,8,4,6,7]=>101101100=>[1,2,1,2,1,3] [2,1,8,7,6,3,4,5,10,9]=>101110001=>[1,2,1,1,4,1] [2,1,10,7,6,3,4,9,5,8]=>101110010=>[1,2,1,1,3,2] [2,1,10,9,6,3,8,4,5,7]=>101110100=>[1,2,1,1,2,3] [2,1,10,9,8,7,3,4,5,6]=>101111000=>[1,2,1,1,1,4] [4,3,1,2,6,5,8,7,10,9]=>110010101=>[1,1,3,2,2,1] [4,3,1,2,6,5,10,9,7,8]=>110010110=>[1,1,3,2,1,2] [4,3,1,2,8,7,5,6,10,9]=>110011001=>[1,1,3,1,3,1] [4,3,1,2,10,7,5,9,6,8]=>110011010=>[1,1,3,1,2,2] [4,3,1,2,10,9,8,5,6,7]=>110011100=>[1,1,3,1,1,3] [6,3,1,5,2,4,8,7,10,9]=>110100101=>[1,1,2,3,2,1] [6,3,1,5,2,4,10,9,7,8]=>110100110=>[1,1,2,3,1,2] [8,3,1,5,2,7,4,6,10,9]=>110101001=>[1,1,2,2,3,1] [10,3,1,5,2,7,4,9,6,8]=>110101010=>[1,1,2,2,2,2] [10,3,1,5,2,9,8,4,6,7]=>110101100=>[1,1,2,2,1,3] [8,3,1,7,6,2,4,5,10,9]=>110110001=>[1,1,2,1,4,1] [10,3,1,7,6,2,4,9,5,8]=>110110010=>[1,1,2,1,3,2] [10,3,1,9,6,2,8,4,5,7]=>110110100=>[1,1,2,1,2,3] [10,3,1,9,8,7,2,4,5,6]=>110111000=>[1,1,2,1,1,4] [6,5,4,1,2,3,8,7,10,9]=>111000101=>[1,1,1,4,2,1] [6,5,4,1,2,3,10,9,7,8]=>111000110=>[1,1,1,4,1,2] [8,5,4,1,2,7,3,6,10,9]=>111001001=>[1,1,1,3,3,1] [10,5,4,1,2,7,3,9,6,8]=>111001010=>[1,1,1,3,2,2] [10,5,4,1,2,9,8,3,6,7]=>111001100=>[1,1,1,3,1,3] [8,7,4,1,6,2,3,5,10,9]=>111010001=>[1,1,1,2,4,1] [10,7,4,1,6,2,3,9,5,8]=>111010010=>[1,1,1,2,3,2] [10,9,4,1,6,2,8,3,5,7]=>111010100=>[1,1,1,2,2,3] [10,9,4,1,8,7,2,3,5,6]=>111011000=>[1,1,1,2,1,4] [8,7,6,5,1,2,3,4,10,9]=>111100001=>[1,1,1,1,5,1] [10,7,6,5,1,2,3,9,4,8]=>111100010=>[1,1,1,1,4,2] [10,9,6,5,1,2,8,3,4,7]=>111100100=>[1,1,1,1,3,3] [10,9,8,5,1,7,2,3,4,6]=>111101000=>[1,1,1,1,2,4] [2,1,4,3,6,5,8,7,12,11,9,10]=>10101010110=>[1,2,2,2,2,1,2] [2,1,4,3,6,5,10,9,7,8,12,11]=>10101011001=>[1,2,2,2,1,3,1] [2,1,4,3,6,5,12,9,7,11,8,10]=>10101011010=>[1,2,2,2,1,2,2] [2,1,4,3,10,7,5,9,6,8,12,11]=>10101101001=>[1,2,2,1,2,3,1] [2,1,4,3,12,7,5,9,6,11,8,10]=>10101101010=>[1,2,2,1,2,2,2] [2,1,10,5,3,7,4,9,6,8,12,11]=>10110101001=>[1,2,1,2,2,3,1] [2,1,12,5,3,7,4,9,6,11,8,10]=>10110101010=>[1,2,1,2,2,2,2] [2,1,12,11,10,7,3,9,4,5,6,8]=>10111101000=>[1,2,1,1,1,2,4] [2,1,12,11,10,9,8,3,4,5,6,7]=>10111110000=>[1,2,1,1,1,1,5] [10,3,1,5,2,7,4,9,6,8,12,11]=>11010101001=>[1,1,2,2,2,3,1] [12,3,1,5,2,7,4,9,6,11,8,10]=>11010101010=>[1,1,2,2,2,2,2] [12,3,1,5,2,7,4,11,10,6,8,9]=>11010101100=>[1,1,2,2,2,1,3] [12,3,1,5,2,11,8,4,10,6,7,9]=>11010110100=>[1,1,2,2,1,2,3] [12,3,1,11,6,2,8,4,10,5,7,9]=>11011010100=>[1,1,2,1,2,2,3] [12,3,1,9,8,7,2,4,5,11,6,10]=>11011100010=>[1,1,2,1,1,4,2] [12,3,1,11,10,7,2,9,4,5,6,8]=>11011101000=>[1,1,2,1,1,2,4] [12,11,4,1,6,2,8,3,10,5,7,9]=>11101010100=>[1,1,1,2,2,2,3] [12,9,8,5,1,7,2,3,4,11,6,10]=>11110100010=>[1,1,1,1,2,4,2] [10,9,8,7,6,1,2,3,4,5,12,11]=>11111000001=>[1,1,1,1,1,6,1] [12,9,8,7,6,1,2,3,4,11,5,10]=>11111000010=>[1,1,1,1,1,5,2] [12,11,10,9,8,7,1,2,3,4,5,6]=>11111100000=>[1,1,1,1,1,1,6] [7,6,5,4,3,2,9,1,8]=>11111010=>[1,1,1,1,1,2,2] [6,5,4,3,9,2,8,1,7]=>11101010=>[1,1,1,2,2,2] [6,5,4,3,2,8,1,7,9]=>11110100=>[1,1,1,1,2,3] [5,4,9,3,8,2,7,1,6]=>10101010=>[1,2,2,2,2] [5,4,3,8,2,7,1,6,9]=>11010100=>[1,1,2,2,3] [5,4,3,2,7,9,1,6,8]=>11100100=>[1,1,1,3,3] [5,4,3,2,7,1,6,8,9]=>11101000=>[1,1,1,2,4] [4,8,3,7,2,6,1,5,9]=>01010100=>[2,2,2,3] [4,3,7,2,6,9,1,5,8]=>10100100=>[1,2,3,3] [4,3,7,2,6,1,5,8,9]=>10101000=>[1,2,2,4] [4,3,2,6,8,1,5,7,9]=>11001000=>[1,1,3,4] [4,3,2,6,1,5,7,8,9]=>11010000=>[1,1,2,5] [3,6,9,2,5,8,1,4,7]=>00100100=>[3,3,3] [3,6,2,5,8,1,4,7,9]=>01001000=>[2,3,4] [3,6,2,5,1,4,7,8,9]=>01010000=>[2,2,5] [3,2,5,7,9,1,4,6,8]=>10001000=>[1,4,4] [3,2,5,7,1,4,6,8,9]=>10010000=>[1,3,5] [3,2,5,1,4,6,7,8,9]=>10100000=>[1,2,6] [2,4,6,8,1,3,5,7,9]=>00010000=>[4,5] [2,4,6,1,3,5,7,8,9]=>00100000=>[3,6] [8,7,6,5,4,3,2,10,1,9]=>111111010=>[1,1,1,1,1,1,2,2] [7,6,5,4,3,10,2,9,1,8]=>111101010=>[1,1,1,1,2,2,2] [7,6,5,4,3,2,9,1,8,10]=>111110100=>[1,1,1,1,1,2,3] [6,5,4,10,3,9,2,8,1,7]=>110101010=>[1,1,2,2,2,2] [6,5,4,3,9,2,8,1,7,10]=>111010100=>[1,1,1,2,2,3] [6,5,4,3,2,8,10,1,7,9]=>111100100=>[1,1,1,1,3,3] [6,5,4,3,2,8,1,7,9,10]=>111101000=>[1,1,1,1,2,4] [5,10,4,9,3,8,2,7,1,6]=>010101010=>[2,2,2,2,2] [5,4,9,3,8,2,7,1,6,10]=>101010100=>[1,2,2,2,3] [5,4,3,8,2,7,10,1,6,9]=>110100100=>[1,1,2,3,3] [5,4,3,8,2,7,1,6,9,10]=>110101000=>[1,1,2,2,4] [5,4,3,2,7,9,1,6,8,10]=>111001000=>[1,1,1,3,4] [5,4,3,2,7,1,6,8,9,10]=>111010000=>[1,1,1,2,5] [4,8,3,7,2,6,10,1,5,9]=>010100100=>[2,2,3,3] [4,8,3,7,2,6,1,5,9,10]=>010101000=>[2,2,2,4] [4,3,7,10,2,6,9,1,5,8]=>100100100=>[1,3,3,3] [4,3,7,2,6,9,1,5,8,10]=>101001000=>[1,2,3,4] [4,3,7,2,6,1,5,8,9,10]=>101010000=>[1,2,2,5] [4,3,2,6,8,10,1,5,7,9]=>110001000=>[1,1,4,4] [4,3,2,6,8,1,5,7,9,10]=>110010000=>[1,1,3,5] [4,3,2,6,1,5,7,8,9,10]=>110100000=>[1,1,2,6] [3,6,9,2,5,8,1,4,7,10]=>001001000=>[3,3,4] [3,6,2,5,8,10,1,4,7,9]=>010001000=>[2,4,4] [3,6,2,5,8,1,4,7,9,10]=>010010000=>[2,3,5] [3,6,2,5,1,4,7,8,9,10]=>010100000=>[2,2,6] [3,2,5,7,9,1,4,6,8,10]=>100010000=>[1,4,5] [3,2,5,7,1,4,6,8,9,10]=>100100000=>[1,3,6] [3,2,5,1,4,6,7,8,9,10]=>101000000=>[1,2,7] [2,4,6,8,1,3,5,7,9,10]=>000100000=>[4,6] [2,4,6,1,3,5,7,8,9,10]=>001000000=>[3,7] [2,4,1,3,5,6,7,8,9,10]=>010000000=>[2,8] [2,1,7,3,8,4,6,5]=>1010101=>[1,2,2,2,1] [4,1,8,2,7,3,6,5]=>1010101=>[1,2,2,2,1] [4,1,7,2,8,3,6,5]=>1010101=>[1,2,2,2,1] [7,1,3,2,8,4,6,5]=>1010101=>[1,2,2,2,1] [7,1,8,2,4,3,6,5]=>1010101=>[1,2,2,2,1] [8,1,7,2,5,3,6,4]=>1010101=>[1,2,2,2,1] [7,1,5,2,8,3,6,4]=>1010101=>[1,2,2,2,1] [5,1,7,2,8,3,6,4]=>1010101=>[1,2,2,2,1] [5,1,8,2,7,3,6,4]=>1010101=>[1,2,2,2,1] [5,1,8,2,4,3,7,6]=>1010101=>[1,2,2,2,1] [8,1,6,2,4,3,7,5]=>1010101=>[1,2,2,2,1] [6,1,8,2,4,3,7,5]=>1010101=>[1,2,2,2,1] [6,1,8,2,5,3,7,4]=>1010101=>[1,2,2,2,1] [8,1,6,2,5,3,7,4]=>1010101=>[1,2,2,2,1] [8,1,6,2,7,3,5,4]=>1010101=>[1,2,2,2,1] [6,1,8,2,7,3,5,4]=>1010101=>[1,2,2,2,1] [6,1,7,2,8,3,5,4]=>1010101=>[1,2,2,2,1] [6,1,7,2,5,3,8,4]=>1010101=>[1,2,2,2,1] [6,1,7,2,4,3,8,5]=>1010101=>[1,2,2,2,1] [5,1,6,2,4,3,8,7]=>1010101=>[1,2,2,2,1] [7,1,5,2,4,3,8,6]=>1010101=>[1,2,2,2,1] [7,1,6,2,4,3,8,5]=>1010101=>[1,2,2,2,1] [7,1,6,2,5,3,8,4]=>1010101=>[1,2,2,2,1] [7,1,6,2,8,3,5,4]=>1010101=>[1,2,2,2,1] [7,1,8,2,6,3,5,4]=>1010101=>[1,2,2,2,1] [1,8,2,7,5,4,6,3]=>0101101=>[2,2,1,2,1] [1,8,2,7,4,3,5,6]=>0101100=>[2,2,1,3] [1,8,6,4,7,2,3,5]=>0110100=>[2,1,2,3] [1,8,4,2,6,3,5,7]=>0110100=>[2,1,2,3] [7,4,8,1,5,2,3,6]=>1010100=>[1,2,2,3] [4,1,7,2,6,3,5,8]=>1010100=>[1,2,2,3] [5,1,7,4,3,6,2,8]=>1011010=>[1,2,1,2,2] [7,5,8,3,2,4,1,6]=>1011010=>[1,2,1,2,2] [1,8,5,4,3,6,2,7]=>0111010=>[2,1,1,2,2] [1,8,5,4,3,7,2,6]=>0111010=>[2,1,1,2,2] [1,8,5,4,7,2,6,3]=>0110101=>[2,1,2,2,1] [1,8,4,2,5,3,7,6]=>0110101=>[2,1,2,2,1] [1,8,5,4,2,6,7,3]=>0111001=>[2,1,1,3,1] [7,4,8,2,1,3,5,6]=>1011000=>[1,2,1,4] [4,1,7,3,2,5,6,8]=>1011000=>[1,2,1,4] [7,5,4,8,2,3,6,1]=>1101001=>[1,1,2,3,1] [7,3,8,1,5,6,2,4]=>1010010=>[1,2,3,2] [3,1,7,2,6,8,4,5]=>1010010=>[1,2,3,2] [5,1,7,4,2,6,8,3]=>1011001=>[1,2,1,3,1] [4,1,6,3,2,5,8,7]=>1011001=>[1,2,1,3,1] [4,3,1,6,2,5,7,8]=>1101000=>[1,1,2,4] [6,5,4,3,7,1,8,2]=>1110101=>[1,1,1,2,2,1] [6,3,2,8,5,7,1,4]=>1101010=>[1,1,2,2,2] [6,5,4,3,8,2,7,1]=>1110101=>[1,1,1,2,2,1] [6,5,4,3,8,7,1,2]=>1110110=>[1,1,1,2,1,2] [7,6,3,8,5,4,1,2]=>1101110=>[1,1,2,1,1,2] [5,4,8,2,1,7,3,6]=>1011010=>[1,2,1,2,2] [6,4,2,8,5,1,3,7]=>1101100=>[1,1,2,1,3] [7,6,4,8,5,1,2,3]=>1101100=>[1,1,2,1,3] [7,2,8,6,3,1,4,5]=>1011100=>[1,2,1,1,3] [7,2,8,6,1,5,3,4]=>1011010=>[1,2,1,2,2] [2,1,7,8,3,6,4,5]=>1001010=>[1,3,2,2] [6,4,1,7,8,2,3,5]=>1100100=>[1,1,3,3] [4,2,1,6,7,3,5,8]=>1100100=>[1,1,3,3] [4,3,1,5,2,7,6,8]=>1101010=>[1,1,2,2,2] [5,4,2,7,3,8,1,6]=>1101010=>[1,1,2,2,2] [4,1,5,3,2,8,6,7]=>1011010=>[1,2,1,2,2] [3,1,6,2,8,7,4,5]=>1010110=>[1,2,2,1,2] [6,3,1,7,8,5,2,4]=>1100110=>[1,1,3,1,2] [6,5,4,1,7,8,3,2]=>1110011=>[1,1,1,3,1,1] [5,4,3,1,6,7,2,8]=>1110010=>[1,1,1,3,2] [6,5,4,2,7,8,3,1]=>1110011=>[1,1,1,3,1,1] [5,4,2,6,3,8,7,1]=>1101011=>[1,1,2,2,1,1] [4,3,1,5,2,6,8,7]=>1101001=>[1,1,2,3,1] [5,4,2,1,6,7,8,3]=>1110001=>[1,1,1,4,1] [5,4,3,1,6,7,8,2]=>1110001=>[1,1,1,4,1] [6,3,8,1,2,5,7,4]=>1010001=>[1,2,4,1] [3,6,7,1,2,5,8,4]=>0010001=>[3,4,1] [7,8,3,1,2,5,6,4]=>0110001=>[2,1,4,1] [7,8,1,3,2,4,6,5]=>0101001=>[2,2,3,1] [7,8,2,1,3,5,4,6]=>0110010=>[2,1,3,2] [5,2,3,7,1,8,6,4]=>1001011=>[1,3,2,1,1] [2,5,3,6,1,8,7,4]=>0101011=>[2,2,2,1,1] [2,6,7,3,1,8,4,5]=>0011010=>[3,1,2,2] [2,6,7,1,3,5,4,8]=>0010010=>[3,3,2] [6,2,8,3,1,7,4,5]=>1011010=>[1,2,1,2,2] [3,2,5,7,1,8,4,6]=>1001010=>[1,3,2,2] [4,3,1,2,7,8,6,5]=>1100011=>[1,1,4,1,1] [5,1,2,7,3,6,4,8]=>1001010=>[1,3,2,2] [5,1,4,7,8,2,3,6]=>1000100=>[1,4,3] [5,3,4,7,8,6,1,2]=>1000110=>[1,4,1,2] [3,5,4,6,8,7,1,2]=>0100110=>[2,3,1,2] [1,5,4,6,8,2,3,7]=>0100100=>[2,3,3] [1,6,7,3,2,4,8,5]=>0011001=>[3,1,3,1] [1,5,3,6,2,7,8,4]=>0101001=>[2,2,3,1] [5,1,3,7,2,6,8,4]=>1001001=>[1,3,3,1] [5,2,4,7,8,1,6,3]=>1000101=>[1,4,2,1] [4,2,5,7,6,1,8,3]=>1001101=>[1,3,1,2,1] [4,5,2,8,6,1,7,3]=>0101101=>[2,2,1,2,1] [5,3,1,8,2,6,7,4]=>1101001=>[1,1,2,3,1] [6,1,8,3,2,4,7,5]=>1011001=>[1,2,1,3,1] [4,3,5,7,6,8,1,2]=>1001010=>[1,3,2,2] [4,1,5,7,6,2,3,8]=>1001100=>[1,3,1,3] [4,5,1,8,6,2,3,7]=>0101100=>[2,2,1,3] [5,2,1,8,3,6,4,7]=>1101010=>[1,1,2,2,2] [3,4,2,1,8,7,5,6]=>0110110=>[2,1,2,1,2] [7,6,5,4,2,1,8,3]=>1111101=>[1,1,1,1,1,2,1] [7,6,5,4,8,1,3,2]=>1110101=>[1,1,1,2,2,1] [8,7,6,5,4,2,1,9,3]=>11111101=>[1,1,1,1,1,1,2,1] [7,6,5,8,2,1,4,3]=>1101101=>[1,1,2,1,2,1] [8,7,6,5,3,2,1,9,4]=>11111101=>[1,1,1,1,1,1,2,1] [8,7,6,4,3,2,1,9,5]=>11111101=>[1,1,1,1,1,1,2,1] [8,7,5,4,3,2,1,9,6]=>11111101=>[1,1,1,1,1,1,2,1] [8,5,4,3,2,1,7,6]=>1111101=>[1,1,1,1,1,2,1] [8,6,5,4,3,2,1,9,7]=>11111101=>[1,1,1,1,1,1,2,1] [7,6,5,4,3,2,1,9,8]=>11111101=>[1,1,1,1,1,1,2,1] [7,6,5,4,1,8,3,2]=>1111011=>[1,1,1,1,2,1,1] [8,7,6,5,4,9,1,3,2]=>11110101=>[1,1,1,1,2,2,1] [9,8,7,6,5,4,2,1,10,3]=>111111101=>[1,1,1,1,1,1,1,2,1] [7,6,5,2,8,1,4,3]=>1110101=>[1,1,1,2,2,1] [8,7,6,5,9,2,1,4,3]=>11101101=>[1,1,1,2,1,2,1] [9,8,7,6,5,3,2,1,10,4]=>111111101=>[1,1,1,1,1,1,1,2,1] [7,6,5,8,4,1,3,2]=>1101101=>[1,1,2,1,2,1] [8,7,6,9,3,2,1,5,4]=>11011101=>[1,1,2,1,1,2,1] [9,8,7,6,4,3,2,1,10,5]=>111111101=>[1,1,1,1,1,1,1,2,1] [7,6,8,5,2,1,4,3]=>1011101=>[1,2,1,1,2,1] [8,7,9,4,3,2,1,6,5]=>10111101=>[1,2,1,1,1,2,1] [9,8,7,5,4,3,2,1,10,6]=>111111101=>[1,1,1,1,1,1,1,2,1] [7,8,6,3,2,1,5,4]=>0111101=>[2,1,1,1,2,1] [8,9,5,4,3,2,1,7,6]=>01111101=>[2,1,1,1,1,2,1] [9,8,6,5,4,3,2,1,10,7]=>111111101=>[1,1,1,1,1,1,1,2,1] [8,7,4,3,2,1,6,5]=>1111101=>[1,1,1,1,1,2,1] [9,6,5,4,3,2,1,8,7]=>11111101=>[1,1,1,1,1,1,2,1] [9,7,6,5,4,3,2,1,10,8]=>111111101=>[1,1,1,1,1,1,1,2,1] [7,8,9,10,4,5,6,2,3,1]=>000100101=>[4,3,2,1] [7,8,9,4,5,6,10,2,3,1]=>001000101=>[3,4,2,1] [7,8,9,10,4,5,2,3,6,1]=>000101001=>[4,2,3,1] [7,8,9,4,5,10,2,3,6,1]=>001001001=>[3,3,3,1] [7,8,9,4,5,2,3,6,10,1]=>001010001=>[3,2,4,1] [7,8,4,5,9,10,2,3,6,1]=>010001001=>[2,4,3,1] [7,8,4,5,9,2,3,6,10,1]=>010010001=>[2,3,4,1] [7,8,9,10,4,5,6,2,1,3]=>000100110=>[4,3,1,2] [7,8,9,4,5,6,10,2,1,3]=>001000110=>[3,4,1,2] [7,8,9,10,4,5,2,6,1,3]=>000101010=>[4,2,2,2] [7,8,9,4,5,10,2,6,1,3]=>001001010=>[3,3,2,2] [7,8,9,4,5,2,6,10,1,3]=>001010010=>[3,2,3,2] [7,8,4,5,9,10,2,6,1,3]=>010001010=>[2,4,2,2] [7,8,4,5,9,2,6,10,1,3]=>010010010=>[2,3,3,2] [7,8,9,10,4,5,2,1,3,6]=>000101100=>[4,2,1,3] [7,8,9,4,5,10,2,1,3,6]=>001001100=>[3,3,1,3] [7,8,9,4,5,2,10,1,3,6]=>001010100=>[3,2,2,3] [7,8,9,4,5,2,1,3,6,10]=>001011000=>[3,2,1,4] [7,8,4,5,9,10,2,1,3,6]=>010001100=>[2,4,1,3] [7,8,4,5,9,2,10,1,3,6]=>010010100=>[2,3,2,3] [7,8,4,5,9,2,1,3,6,10]=>010011000=>[2,3,1,4] [7,8,9,10,4,2,5,6,1,3]=>000110010=>[4,1,3,2] [7,8,9,4,10,2,5,6,1,3]=>001010010=>[3,2,3,2] [7,8,9,4,2,5,6,10,1,3]=>001100010=>[3,1,4,2] [7,8,4,9,10,2,5,6,1,3]=>010010010=>[2,3,3,2] [7,8,4,9,2,5,6,10,1,3]=>010100010=>[2,2,4,2] [7,8,9,10,4,2,5,1,3,6]=>000110100=>[4,1,2,3] [7,8,9,4,10,2,5,1,3,6]=>001010100=>[3,2,2,3] [7,8,9,4,2,5,10,1,3,6]=>001100100=>[3,1,3,3] [7,8,9,4,2,5,1,3,6,10]=>001101000=>[3,1,2,4] [7,8,4,9,10,2,5,1,3,6]=>010010100=>[2,3,2,3] [7,8,4,9,2,5,10,1,3,6]=>010100100=>[2,2,3,3] [7,8,4,9,2,5,1,3,6,10]=>010101000=>[2,2,2,4] [7,8,4,2,5,9,10,1,3,6]=>011000100=>[2,1,4,3] [7,8,4,2,5,9,1,3,6,10]=>011001000=>[2,1,3,4] [7,4,8,9,10,2,5,6,1,3]=>100010010=>[1,4,3,2] [7,4,8,9,2,5,6,10,1,3]=>100100010=>[1,3,4,2] [7,4,8,9,10,2,5,1,3,6]=>100010100=>[1,4,2,3] [7,4,8,9,2,5,10,1,3,6]=>100100100=>[1,3,3,3] [7,4,8,9,2,5,1,3,6,10]=>100101000=>[1,3,2,4] [7,4,8,2,5,9,10,1,3,6]=>101000100=>[1,2,4,3] [7,8,2,4,5,1,3,6]=>0100100=>[2,3,3] [4,6,7,2,5,1,3,8]=>0010100=>[3,2,3] [7,8,1,3,2,4,5,6]=>0101000=>[2,2,4] [7,8,4,1,5,2,3,6]=>0110100=>[2,1,2,3] [3,6,7,2,1,4,5,8]=>0011000=>[3,1,4] [5,2,3,6,1,4,7,8]=>1001000=>[1,3,4] [2,5,3,6,1,4,7,8]=>0101000=>[2,2,4] [2,6,7,3,1,4,5,8]=>0011000=>[3,1,4] [4,6,7,1,5,2,3,8]=>0010100=>[3,2,3] [4,6,7,3,5,8,1,2]=>0010010=>[3,3,2] [6,4,7,1,5,2,3,8]=>1010100=>[1,2,2,3] [6,2,7,3,1,4,5,8]=>1011000=>[1,2,1,4] [3,2,5,6,1,4,7,8]=>1001000=>[1,3,4] [3,5,2,6,1,4,7,8]=>0101000=>[2,2,4] [5,1,4,6,7,2,3,8]=>1000100=>[1,4,3] [3,5,4,6,7,8,1,2]=>0100010=>[2,4,2] [1,5,4,6,7,2,3,8]=>0100100=>[2,3,3] [1,6,7,3,2,4,5,8]=>0011000=>[3,1,4] [1,5,3,6,2,4,7,8]=>0101000=>[2,2,4] [5,1,3,6,2,4,7,8]=>1001000=>[1,3,4] [5,2,4,6,7,1,3,8]=>1000100=>[1,4,3] [2,5,4,6,7,1,3,8]=>0100100=>[2,3,3] [2,6,7,4,5,1,3,8]=>0010100=>[3,2,3] [6,2,7,4,5,1,3,8]=>1010100=>[1,2,2,3] [4,2,5,6,7,1,3,8]=>1000100=>[1,4,3] [4,5,2,6,7,1,3,8]=>0100100=>[2,3,3] [5,3,1,6,2,4,7,8]=>1101000=>[1,1,2,4] [6,1,7,3,2,4,5,8]=>1011000=>[1,2,1,4] [6,1,7,4,5,2,3,8]=>1010100=>[1,2,2,3] [6,3,7,4,5,8,1,2]=>1010010=>[1,2,3,2] [5,4,1,6,7,2,3,8]=>1100100=>[1,1,3,3] [5,2,1,6,3,4,7,8]=>1101000=>[1,1,2,4] [7,3,2,5,4,1,6,8]=>1101100=>[1,1,2,1,3] [7,3,5,4,2,1,6,8]=>1011100=>[1,2,1,1,3] [7,3,5,2,4,1,6,8]=>1010100=>[1,2,2,3] [7,6,5,2,1,4,3,8]=>1111010=>[1,1,1,1,2,2] [1,3,6,7,5,2,8,4]=>0001101=>[4,1,2,1] [7,3,4,1,6,2,5,8]=>1010100=>[1,2,2,3] [7,3,4,1,6,5,2,8]=>1010110=>[1,2,2,1,2] [7,3,4,1,5,6,2,8]=>1010010=>[1,2,3,2] [7,3,2,5,1,6,4,8]=>1101010=>[1,1,2,2,2] [7,6,5,4,1,3,2,8]=>1111010=>[1,1,1,1,2,2] [7,3,4,1,5,2,6,8]=>1010100=>[1,2,2,3] [1,3,6,7,2,5,8,4]=>0001001=>[4,3,1] [1,7,4,6,2,8,5,3]=>0101011=>[2,2,2,1,1] [4,3,1,7,2,6,8,5]=>1101001=>[1,1,2,3,1] [5,6,1,4,7,3,8,2]=>0100101=>[2,3,2,1] [5,3,2,1,7,4,8,6]=>1110101=>[1,1,1,2,2,1] [1,3,4,5,8,7,2,6]=>0000110=>[5,1,2] [6,3,4,5,8,1,7,2]=>1000101=>[1,4,2,1] [2,4,5,1,6,8,7,3]=>0010011=>[3,3,1,1] [3,1,2,5,6,8,7,4]=>1000011=>[1,5,1,1] [4,3,2,5,6,8,1,7]=>1100010=>[1,1,4,2] [3,7,5,4,6,8,1,2]=>0110010=>[2,1,3,2] [3,1,4,6,5,8,2,7]=>1001010=>[1,3,2,2] [2,3,4,5,8,6,1,7]=>0000110=>[5,1,2] [2,3,4,5,8,1,7,6]=>0000101=>[5,2,1] [3,1,4,6,5,8,7,2]=>1001011=>[1,3,2,1,1] [3,7,5,4,6,8,2,1]=>0110011=>[2,1,3,1,1] [5,6,1,4,7,2,8,3]=>0100101=>[2,3,2,1] [4,3,1,7,5,6,8,2]=>1101001=>[1,1,2,3,1] [4,3,1,7,6,5,8,2]=>1101101=>[1,1,2,1,2,1] [3,1,4,6,7,8,5,2]=>1000011=>[1,5,1,1] [1,4,5,2,6,8,7,3]=>0010011=>[3,3,1,1] [3,7,5,2,6,8,1,4]=>0110010=>[2,1,3,2] [3,7,5,2,6,8,4,1]=>0110011=>[2,1,3,1,1] [5,6,1,2,7,4,8,3]=>0100101=>[2,3,2,1] [6,3,5,2,4,7,8,1]=>1010001=>[1,2,4,1] [5,3,2,1,4,7,8,6]=>1110001=>[1,1,1,4,1] [5,3,1,4,2,7,8,6]=>1101001=>[1,1,2,3,1] [5,3,1,2,4,7,8,6]=>1100001=>[1,1,5,1] [7,1,5,2,6,8,4,3]=>1010011=>[1,2,3,1,1] [7,1,5,2,6,8,3,4]=>1010010=>[1,2,3,2] [1,7,4,6,5,8,3,2]=>0101011=>[2,2,2,1,1] [2,7,4,6,1,8,3,5]=>0101010=>[2,2,2,2] [2,7,4,6,1,8,5,3]=>0101011=>[2,2,2,1,1] [2,3,6,7,1,5,8,4]=>0001001=>[4,3,1] [2,3,6,7,5,1,8,4]=>0001101=>[4,1,2,1] [4,3,2,6,7,1,8,5]=>1100101=>[1,1,3,2,1] [7,3,2,5,6,8,1,4]=>1100010=>[1,1,4,2] [7,1,5,4,6,8,2,3]=>1010010=>[1,2,3,2] [2,7,4,6,5,8,1,3]=>0101010=>[2,2,2,2] [7,3,4,5,8,6,1,2]=>1000110=>[1,4,1,2] [7,3,4,5,8,1,6,2]=>1000101=>[1,4,2,1] [7,3,4,5,8,1,2,6]=>1000100=>[1,4,3] [1,3,4,5,8,6,2,7]=>0000110=>[5,1,2] [1,3,4,5,8,2,7,6]=>0000101=>[5,2,1] [6,3,4,5,8,2,1,7]=>1000110=>[1,4,1,2] [6,3,4,5,8,2,7,1]=>1000101=>[1,4,2,1] [7,3,4,5,8,6,2,1]=>1000111=>[1,4,1,1,1] [2,7,4,6,5,8,3,1]=>0101011=>[2,2,2,1,1] [7,1,5,4,6,8,3,2]=>1010011=>[1,2,3,1,1] [7,3,2,5,6,8,4,1]=>1100011=>[1,1,4,1,1] [5,7,4,6,1,8,3,2]=>0101011=>[2,2,2,1,1] [6,3,4,5,8,1,2,7]=>1000100=>[1,4,3] [7,3,4,5,8,2,1,6]=>1000110=>[1,4,1,2] [7,3,4,5,8,2,6,1]=>1000101=>[1,4,2,1] [4,7,6,1,8,2,5,3]=>0110101=>[2,1,2,2,1] [4,8,6,1,7,5,2,3]=>0110110=>[2,1,2,1,2] [4,7,8,2,6,1,5,3]=>0010101=>[3,2,2,1] [7,6,4,2,8,3,5,1]=>1110101=>[1,1,1,2,2,1] [8,6,4,2,7,5,3,1]=>1110111=>[1,1,1,2,1,1,1] [8,4,7,3,6,5,1,2]=>1010110=>[1,2,2,1,2] [8,4,6,1,7,5,3,2]=>1010111=>[1,2,2,1,1,1] [6,4,7,1,8,3,2,5]=>1010110=>[1,2,2,1,2] [7,4,8,3,6,1,5,2]=>1010101=>[1,2,2,2,1] [7,8,4,3,6,2,5,1]=>0110101=>[2,1,2,2,1] [8,10,7,9,5,6,3,4,1,2]=>010101010=>[2,2,2,2,2] [9,10,6,8,5,7,3,4,1,2]=>010101010=>[2,2,2,2,2] [8,10,6,9,5,7,3,4,1,2]=>010101010=>[2,2,2,2,2] [7,10,6,9,5,8,3,4,1,2]=>010101010=>[2,2,2,2,2] [9,10,7,8,4,6,3,5,1,2]=>010101010=>[2,2,2,2,2] [8,10,7,9,4,6,3,5,1,2]=>010101010=>[2,2,2,2,2] [9,10,6,8,4,7,3,5,1,2]=>010101010=>[2,2,2,2,2] [8,10,6,9,4,7,3,5,1,2]=>010101010=>[2,2,2,2,2] [7,10,6,9,4,8,3,5,1,2]=>010101010=>[2,2,2,2,2] [9,10,5,8,4,7,3,6,1,2]=>010101010=>[2,2,2,2,2] [8,10,5,9,4,7,3,6,1,2]=>010101010=>[2,2,2,2,2] [7,10,5,9,4,8,3,6,1,2]=>010101010=>[2,2,2,2,2] [6,10,5,9,4,8,3,7,1,2]=>010101010=>[2,2,2,2,2] [9,10,7,8,5,6,2,4,1,3]=>010101010=>[2,2,2,2,2] [8,10,7,9,5,6,2,4,1,3]=>010101010=>[2,2,2,2,2] [9,10,6,8,5,7,2,4,1,3]=>010101010=>[2,2,2,2,2] [8,10,6,9,5,7,2,4,1,3]=>010101010=>[2,2,2,2,2] [7,10,6,9,5,8,2,4,1,3]=>010101010=>[2,2,2,2,2] [9,10,7,8,4,6,2,5,1,3]=>010101010=>[2,2,2,2,2] [8,10,7,9,4,6,2,5,1,3]=>010101010=>[2,2,2,2,2] [9,10,6,8,4,7,2,5,1,3]=>010101010=>[2,2,2,2,2] [8,10,6,9,4,7,2,5,1,3]=>010101010=>[2,2,2,2,2] [7,10,6,9,4,8,2,5,1,3]=>010101010=>[2,2,2,2,2] [9,10,5,8,4,7,2,6,1,3]=>010101010=>[2,2,2,2,2] [8,10,5,9,4,7,2,6,1,3]=>010101010=>[2,2,2,2,2] [7,10,5,9,4,8,2,6,1,3]=>010101010=>[2,2,2,2,2] [6,10,5,9,4,8,2,7,1,3]=>010101010=>[2,2,2,2,2] [9,10,7,8,3,6,2,5,1,4]=>010101010=>[2,2,2,2,2] [8,10,7,9,3,6,2,5,1,4]=>010101010=>[2,2,2,2,2] [9,10,6,8,3,7,2,5,1,4]=>010101010=>[2,2,2,2,2] [8,10,6,9,3,7,2,5,1,4]=>010101010=>[2,2,2,2,2] [7,10,6,9,3,8,2,5,1,4]=>010101010=>[2,2,2,2,2] [9,10,5,8,3,7,2,6,1,4]=>010101010=>[2,2,2,2,2] [8,10,5,9,3,7,2,6,1,4]=>010101010=>[2,2,2,2,2] [7,10,5,9,3,8,2,6,1,4]=>010101010=>[2,2,2,2,2] [6,10,5,9,3,8,2,7,1,4]=>010101010=>[2,2,2,2,2] [9,10,4,8,3,7,2,6,1,5]=>010101010=>[2,2,2,2,2] [8,10,4,9,3,7,2,6,1,5]=>010101010=>[2,2,2,2,2] [7,10,4,9,3,8,2,6,1,5]=>010101010=>[2,2,2,2,2] [6,10,4,9,3,8,2,7,1,5]=>010101010=>[2,2,2,2,2] [10,12,9,11,7,8,5,6,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,7,9,5,6,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,7,9,5,6,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,7,10,5,6,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,6,8,5,7,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,6,8,5,7,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,6,9,5,7,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,6,9,5,7,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,6,10,5,7,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,6,9,5,8,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,6,9,5,8,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,6,10,5,8,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,6,10,5,9,3,4,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,7,8,4,6,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,7,8,4,6,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,7,9,4,6,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,7,9,4,6,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,7,10,4,6,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,6,8,4,7,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,6,8,4,7,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,6,9,4,7,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,6,9,4,7,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,6,10,4,7,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,6,9,4,8,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,6,9,4,8,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,6,10,4,8,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,6,10,4,9,3,5,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,5,8,4,7,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,5,8,4,7,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,5,9,4,7,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,5,9,4,7,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,5,10,4,7,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,5,9,4,8,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,5,9,4,8,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,5,10,4,8,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,5,10,4,9,3,6,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,6,10,5,9,4,8,3,7,1,2]=>01010101010=>[2,2,2,2,2,2] [10,12,6,11,5,9,4,8,3,7,1,2]=>01010101010=>[2,2,2,2,2,2] [9,12,6,11,5,10,4,8,3,7,1,2]=>01010101010=>[2,2,2,2,2,2] [8,12,6,11,5,10,4,9,3,7,1,2]=>01010101010=>[2,2,2,2,2,2] [7,12,6,11,5,10,4,9,3,8,1,2]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,7,8,5,6,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,7,8,5,6,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,7,9,5,6,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,7,9,5,6,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,7,10,5,6,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,6,8,5,7,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,6,8,5,7,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,6,9,5,7,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,6,9,5,7,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,6,10,5,7,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,6,9,5,8,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,6,9,5,8,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,6,10,5,8,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,6,10,5,9,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,7,8,4,6,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,7,8,4,6,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,7,9,4,6,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,7,9,4,6,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,7,10,4,6,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,6,8,4,7,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,6,8,4,7,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,6,9,4,7,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,6,9,4,7,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,6,10,4,7,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,6,9,4,8,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,6,9,4,8,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,6,10,4,8,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,6,10,4,9,2,5,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,5,8,4,7,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,5,8,4,7,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,5,9,4,7,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,5,9,4,7,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,5,10,4,7,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,5,9,4,8,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,5,9,4,8,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,5,10,4,8,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,5,10,4,9,2,6,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,6,10,5,9,4,8,2,7,1,3]=>01010101010=>[2,2,2,2,2,2] [10,12,6,11,5,9,4,8,2,7,1,3]=>01010101010=>[2,2,2,2,2,2] [9,12,6,11,5,10,4,8,2,7,1,3]=>01010101010=>[2,2,2,2,2,2] [8,12,6,11,5,10,4,9,2,7,1,3]=>01010101010=>[2,2,2,2,2,2] [7,12,6,11,5,10,4,9,2,8,1,3]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,7,8,3,6,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,7,8,3,6,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,7,9,3,6,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,7,9,3,6,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,7,10,3,6,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,6,8,3,7,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,6,8,3,7,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,6,9,3,7,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,6,9,3,7,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,6,10,3,7,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,6,9,3,8,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,6,9,3,8,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,6,10,3,8,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,6,10,3,9,2,5,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,5,8,3,7,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,5,8,3,7,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,5,9,3,7,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,5,9,3,7,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,5,10,3,7,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,5,9,3,8,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,5,9,3,8,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,5,10,3,8,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,5,10,3,9,2,6,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,6,10,5,9,3,8,2,7,1,4]=>01010101010=>[2,2,2,2,2,2] [10,12,6,11,5,9,3,8,2,7,1,4]=>01010101010=>[2,2,2,2,2,2] [9,12,6,11,5,10,3,8,2,7,1,4]=>01010101010=>[2,2,2,2,2,2] [8,12,6,11,5,10,3,9,2,7,1,4]=>01010101010=>[2,2,2,2,2,2] [7,12,6,11,5,10,3,9,2,8,1,4]=>01010101010=>[2,2,2,2,2,2] [11,12,9,10,4,8,3,7,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [10,12,9,11,4,8,3,7,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [11,12,8,10,4,9,3,7,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [10,12,8,11,4,9,3,7,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [9,12,8,11,4,10,3,7,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [11,12,7,10,4,9,3,8,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [10,12,7,11,4,9,3,8,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [9,12,7,11,4,10,3,8,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [8,12,7,11,4,10,3,9,2,6,1,5]=>01010101010=>[2,2,2,2,2,2] [11,12,6,10,4,9,3,8,2,7,1,5]=>01010101010=>[2,2,2,2,2,2] [10,12,6,11,4,9,3,8,2,7,1,5]=>01010101010=>[2,2,2,2,2,2] [9,12,6,11,4,10,3,8,2,7,1,5]=>01010101010=>[2,2,2,2,2,2] [8,12,6,11,4,10,3,9,2,7,1,5]=>01010101010=>[2,2,2,2,2,2] [7,12,6,11,4,10,3,9,2,8,1,5]=>01010101010=>[2,2,2,2,2,2] [11,12,5,10,4,9,3,8,2,7,1,6]=>01010101010=>[2,2,2,2,2,2] [10,12,5,11,4,9,3,8,2,7,1,6]=>01010101010=>[2,2,2,2,2,2] [9,12,5,11,4,10,3,8,2,7,1,6]=>01010101010=>[2,2,2,2,2,2] [8,12,5,11,4,10,3,9,2,7,1,6]=>01010101010=>[2,2,2,2,2,2] [7,12,5,11,4,10,3,9,2,8,1,6]=>01010101010=>[2,2,2,2,2,2] [6,12,5,11,4,10,3,9,2,8,1,7]=>01010101010=>[2,2,2,2,2,2] [2,1,7,3,5,8,6,4]=>1010011=>[1,2,3,1,1] [4,2,1,8,3,6,7,5]=>1101001=>[1,1,2,3,1] [2,1,8,6,3,5,7,4]=>1011001=>[1,2,1,3,1] [6,2,1,7,3,5,8,4]=>1101001=>[1,1,2,3,1] [2,7,3,1,4,8,5,6]=>0110010=>[2,1,3,2] [3,2,1,5,7,8,4,6]=>1100010=>[1,1,4,2] [2,1,7,3,6,8,4,5]=>1010010=>[1,2,3,2] [2,7,3,1,5,6,8,4]=>0110001=>[2,1,4,1] [4,3,7,5,6,1,8,2]=>1010101=>[1,2,2,2,1] [4,3,6,8,5,1,7,2]=>1001101=>[1,3,1,2,1] [2,6,1,8,3,5,7,4]=>0101001=>[2,2,3,1] [2,1,6,8,3,7,4,5]=>1001010=>[1,3,2,2] [2,1,8,3,5,7,4,6]=>1010010=>[1,2,3,2] [3,2,1,5,6,8,4,7]=>1100010=>[1,1,4,2] [3,2,1,5,7,4,6,8]=>1100100=>[1,1,3,3] [8,2,4,1,7,5,6,3]=>1010101=>[1,2,2,2,1] [3,8,4,7,5,1,6,2]=>0101101=>[2,2,1,2,1] [8,4,3,6,1,7,5,2]=>1101011=>[1,1,2,2,1,1] [8,2,1,7,3,5,4,6]=>1101010=>[1,1,2,2,2] [5,8,6,3,1,7,4,2]=>0111011=>[2,1,1,2,1,1] [2,4,7,1,8,5,3,6]=>0010110=>[3,2,1,2] [2,4,8,5,1,6,3,7]=>0011010=>[3,1,2,2] [6,2,1,7,3,4,8,5]=>1101001=>[1,1,2,3,1] [6,2,1,7,8,3,5,4]=>1100101=>[1,1,3,2,1] [2,1,8,3,6,4,5,7]=>1010100=>[1,2,2,3] [3,2,1,6,7,4,5,8]=>1100100=>[1,1,3,3] [3,2,1,6,8,4,5,7]=>1100100=>[1,1,3,3] [2,1,8,3,7,4,5,6]=>1010100=>[1,2,2,3] [2,1,8,3,6,7,4,5]=>1010010=>[1,2,3,2] [2,4,8,5,1,6,7,3]=>0011001=>[3,1,3,1] [3,2,1,8,4,5,6,7]=>1101000=>[1,1,2,4] [1,6,8,3,7,2,4,5]=>0010100=>[3,2,3] [3,8,1,5,7,2,4,6]=>0100100=>[2,3,3] [1,2,6,8,4,7,3,5]=>0001010=>[4,2,2] [6,1,5,8,2,4,7,3]=>1001001=>[1,3,3,1] [1,2,4,8,3,6,7,5]=>0001001=>[4,3,1] [4,1,2,7,8,3,6,5]=>1000101=>[1,4,2,1] [3,5,7,4,8,6,1,2]=>0010110=>[3,2,1,2] [5,3,8,4,7,6,1,2]=>1010110=>[1,2,2,1,2] [8,7,1,2,5,4,6,3]=>1100101=>[1,1,3,2,1] [5,8,1,2,3,7,6,4]=>0100011=>[2,4,1,1] [1,2,8,4,3,5,7,6]=>0011001=>[3,1,3,1] [1,2,5,3,7,6,4,8]=>0010110=>[3,2,1,2] [6,1,2,8,7,4,5,3]=>1001101=>[1,3,1,2,1] [7,1,6,2,8,4,5,3]=>1010101=>[1,2,2,2,1] [1,2,6,3,8,5,4,7]=>0010110=>[3,2,1,2] [1,2,8,5,3,6,4,7]=>0011010=>[3,1,2,2] [1,2,7,3,8,5,4,6]=>0010110=>[3,2,1,2] [4,1,2,7,8,6,3,5]=>1000110=>[1,4,1,2] [1,6,2,8,4,3,5,7]=>0101100=>[2,2,1,3] [1,6,4,2,7,3,5,8]=>0110100=>[2,1,2,3] [1,8,6,3,2,4,5,7]=>0111000=>[2,1,1,4] [1,7,3,2,8,4,5,6]=>0110100=>[2,1,2,3] [3,1,7,8,6,2,4,5]=>1001100=>[1,3,1,3] [1,8,7,2,4,5,6,3]=>0110001=>[2,1,4,1] [1,8,7,3,5,6,2,4]=>0110010=>[2,1,3,2] [1,3,2,8,7,4,5,6]=>0101100=>[2,2,1,3] [1,8,3,2,6,4,5,7]=>0110100=>[2,1,2,3] [1,7,6,3,2,4,5,8]=>0111000=>[2,1,1,4] [1,2,8,4,3,7,5,6]=>0011010=>[3,1,2,2] [8,5,1,7,2,4,6,3]=>1101001=>[1,1,2,3,1] [5,3,8,7,4,6,1,2]=>1011010=>[1,2,1,2,2] [3,8,6,4,7,5,1,2]=>0110110=>[2,1,2,1,2] [6,1,8,2,7,4,5,3]=>1010101=>[1,2,2,2,1] [1,2,5,3,8,6,4,7]=>0010110=>[3,2,1,2] [1,2,7,5,3,6,4,8]=>0011010=>[3,1,2,2] [1,2,6,3,7,5,4,8]=>0010110=>[3,2,1,2] [1,2,3,7,5,4,8,6]=>0001101=>[4,1,2,1] [3,7,4,8,6,5,1,2]=>0101110=>[2,2,1,1,2] [1,8,2,7,6,4,5,3]=>0101101=>[2,2,1,2,1] [2,9,8,7,6,5,4,1,3]=>01111110=>[2,1,1,1,1,1,2] [2,8,7,6,5,1,4,3]=>0111101=>[2,1,1,1,2,1] [7,1,6,3,2,5,4,8]=>1011010=>[1,2,1,2,2] [2,7,6,3,1,5,8,4]=>0111001=>[2,1,1,3,1] [1,8,4,3,6,5,2,7]=>0110110=>[2,1,2,1,2] [1,8,4,6,5,3,2,7]=>0101110=>[2,2,1,1,2] [7,4,2,1,6,5,3,8]=>1110110=>[1,1,1,2,1,2] [7,6,1,4,3,5,2,8]=>1101010=>[1,1,2,2,2] [7,4,1,3,5,2,6,8]=>1100100=>[1,1,3,3] [7,3,1,2,4,6,5,8]=>1100010=>[1,1,4,2] [1,8,6,3,4,5,2,7]=>0110010=>[2,1,3,2] [1,8,6,7,4,2,5,3]=>0101101=>[2,2,1,2,1] [3,6,2,1,4,8,5,7]=>0110010=>[2,1,3,2] [3,1,7,2,4,6,8,5]=>1010001=>[1,2,4,1] [3,4,7,1,5,2,8,6]=>0010101=>[3,2,2,1] [3,6,7,4,1,5,8,2]=>0011001=>[3,1,3,1] [4,3,2,7,1,5,8,6]=>1101001=>[1,1,2,3,1] [3,1,2,8,6,5,4,7]=>1001110=>[1,3,1,1,2] [5,4,8,6,1,2,3,7]=>1011000=>[1,2,1,4] [5,6,8,7,4,3,1,2]=>0011110=>[3,1,1,1,2] [1,8,2,7,4,3,6,5]=>0101101=>[2,2,1,2,1] [6,5,8,2,3,7,1,4]=>1010010=>[1,2,3,2] [6,4,8,5,3,1,7,2]=>1011101=>[1,2,1,1,2,1] [5,7,8,6,1,3,2,4]=>0011010=>[3,1,2,2] [2,4,8,1,6,3,7,5]=>0010101=>[3,2,2,1] [3,1,2,8,6,4,7,5]=>1001101=>[1,3,1,2,1] [5,3,2,6,4,8,1,7]=>1101010=>[1,1,2,2,2] [4,1,6,3,5,8,2,7]=>1010010=>[1,2,3,2] [2,4,5,3,8,6,1,7]=>0010110=>[3,2,1,2] [1,8,5,3,2,7,6,4]=>0111011=>[2,1,1,2,1,1] [1,8,4,5,2,6,7,3]=>0101001=>[2,2,3,1] [4,1,2,7,6,5,8,3]=>1001101=>[1,3,1,2,1] [2,4,1,6,7,8,5,3]=>0100011=>[2,4,1,1] [1,8,4,3,6,2,7,5]=>0110101=>[2,1,2,2,1] [5,6,7,3,2,8,1,4]=>0011010=>[3,1,2,2] [2,5,7,3,6,8,4,1]=>0010011=>[3,3,1,1] [5,3,2,1,4,8,6,7]=>1110010=>[1,1,1,3,2] [5,3,1,4,2,8,6,7]=>1101010=>[1,1,2,2,2] [7,6,1,3,8,5,4,2]=>1100111=>[1,1,3,1,1,1] [3,4,7,8,1,2,6,5]=>0001001=>[4,3,1] [3,6,7,8,1,4,5,2]=>0001001=>[4,3,1] [3,6,2,8,1,5,4,7]=>0101010=>[2,2,2,2] [2,3,6,8,5,1,4,7]=>0001100=>[4,1,3] [3,1,6,4,8,2,5,7]=>1010100=>[1,2,2,3] [7,3,2,6,8,5,1,4]=>1100110=>[1,1,3,1,2] [7,3,5,8,4,6,1,2]=>1001010=>[1,3,2,2] [7,5,2,8,4,1,6,3]=>1101101=>[1,1,2,1,2,1] [7,4,5,8,2,1,3,6]=>1001100=>[1,3,1,3] [1,8,5,2,4,6,3,7]=>0110010=>[2,1,3,2] [1,8,4,2,3,5,7,6]=>0110001=>[2,1,4,1] [6,4,2,8,3,5,1,7]=>1101010=>[1,1,2,2,2] [6,3,4,8,2,5,7,1]=>1001001=>[1,3,3,1] [7,5,4,8,3,6,2,1]=>1101011=>[1,1,2,2,1,1] [2,7,4,8,5,3,6,1]=>0101101=>[2,2,1,2,1] [7,1,5,4,8,3,6,2]=>1010101=>[1,2,2,2,1] [7,3,2,5,8,4,6,1]=>1100101=>[1,1,3,2,1] [8,4,6,3,7,2,5,1]=>1010101=>[1,2,2,2,1] [7,4,6,3,8,5,1,2]=>1010110=>[1,2,2,1,2] [2,5,6,8,3,4,1,7]=>0001010=>[4,2,2] [8,4,6,2,7,5,3,1]=>1010111=>[1,2,2,1,1,1] [8,5,6,7,2,4,3,1]=>1001011=>[1,3,2,1,1] [2,5,6,8,4,3,1,7]=>0001110=>[4,1,1,2] [2,5,7,8,4,1,3,6]=>0001100=>[4,1,3] [6,5,7,8,4,1,3,2]=>1001101=>[1,3,1,2,1] [7,5,6,8,2,4,1,3]=>1001010=>[1,3,2,2] [7,4,6,2,8,5,1,3]=>1010110=>[1,2,2,1,2] [4,3,2,6,8,5,1,7]=>1100110=>[1,1,3,1,2] [3,5,6,8,2,4,1,7]=>0001010=>[4,2,2] [3,5,6,8,4,2,1,7]=>0001110=>[4,1,1,2] [2,6,7,8,1,4,5,3]=>0001001=>[4,3,1] [3,6,7,8,1,4,2,5]=>0001010=>[4,2,2] [3,5,7,8,2,1,4,6]=>0001100=>[4,1,3] [2,6,7,8,1,4,3,5]=>0001010=>[4,2,2] [6,5,7,8,3,1,4,2]=>1001101=>[1,3,1,2,1] [2,5,7,8,3,1,4,6]=>0001100=>[4,1,3] [2,4,7,3,8,1,5,6]=>0010100=>[3,2,3] [6,4,7,3,8,1,5,2]=>1010101=>[1,2,2,2,1] [6,4,7,3,8,1,2,5]=>1010100=>[1,2,2,3] [7,4,6,3,8,2,1,5]=>1010110=>[1,2,2,1,2] [6,3,2,5,4,8,1,7]=>1101010=>[1,1,2,2,2] [6,4,5,2,3,8,1,7]=>1010010=>[1,2,3,2] [6,4,5,3,2,8,1,7]=>1011010=>[1,2,1,2,2] [5,4,6,3,8,2,1,7]=>1010110=>[1,2,2,1,2] [5,4,7,3,8,1,6,2]=>1010101=>[1,2,2,2,1] [2,5,7,8,3,1,6,4]=>0001101=>[4,1,2,1] [4,5,7,8,3,1,2,6]=>0001100=>[4,1,3] [4,5,6,8,2,3,1,7]=>0001010=>[4,2,2] [5,4,6,2,8,3,1,7]=>1010110=>[1,2,2,1,2] [5,3,2,6,8,4,1,7]=>1100110=>[1,1,3,1,2] [5,4,7,2,8,1,3,6]=>1010100=>[1,2,2,3] [4,5,7,8,2,1,3,6]=>0001100=>[4,1,3] [4,6,7,8,1,3,2,5]=>0001010=>[4,2,2] [4,6,7,8,1,3,5,2]=>0001001=>[4,3,1] [2,6,7,8,1,3,5,4]=>0001001=>[4,3,1] [2,6,7,8,1,5,3,4]=>0001010=>[4,2,2] [4,6,7,8,1,5,2,3]=>0001010=>[4,2,2] [4,6,7,8,1,2,5,3]=>0001001=>[4,3,1] [4,5,7,8,2,1,6,3]=>0001101=>[4,1,2,1] [5,4,7,2,8,1,6,3]=>1010101=>[1,2,2,2,1] [5,3,2,7,8,1,6,4]=>1100101=>[1,1,3,2,1] [4,3,2,7,8,1,6,5]=>1100101=>[1,1,3,2,1] [3,5,7,8,2,1,6,4]=>0001101=>[4,1,2,1] [3,6,7,8,1,2,5,4]=>0001001=>[4,3,1] [3,6,7,8,1,5,2,4]=>0001010=>[4,2,2] [3,6,7,8,1,5,4,2]=>0001011=>[4,2,1,1] [2,6,7,8,1,5,4,3]=>0001011=>[4,2,1,1] [2,3,4,5,6,7,8,9,10,1,11]=>0000000010=>[9,2] [3,4,5,6,7,8,9,1,2,10]=>000000100=>[7,3] [2,4,5,6,7,8,1,3,9]=>00000100=>[6,3] [3,4,5,6,7,1,8,2,9]=>00001010=>[5,2,2] [1,3,5,6,7,8,9,2,4]=>00000010=>[7,2] [1,4,5,6,7,8,2,9,3]=>00000101=>[6,2,1] [1,4,5,6,7,8,9,10,2,3]=>000000010=>[8,2] [1,3,4,5,6,7,8,9,10,11,2]=>0000000001=>[10,1] [4,2,7,1,5,3,8,6]=>1010101=>[1,2,2,2,1] [4,2,8,6,1,5,3,7]=>1011010=>[1,2,1,2,2] [3,2,6,7,5,1,4,8]=>1001100=>[1,3,1,3] [2,7,1,3,5,4,8,6]=>0100101=>[2,3,2,1] [4,7,2,1,5,8,6,3]=>0110011=>[2,1,3,1,1] [7,2,1,3,5,8,6,4]=>1100011=>[1,1,4,1,1] [2,3,6,4,7,1,5,8]=>0010100=>[3,2,3] [1,3,4,8,2,7,5,6]=>0001010=>[4,2,2] [3,1,4,8,2,6,7,5]=>1001001=>[1,3,3,1] [8,3,1,6,2,5,7,4]=>1101001=>[1,1,2,3,1] [4,8,6,2,1,5,7,3]=>0111001=>[2,1,1,3,1] [4,8,3,6,5,1,7,2]=>0101101=>[2,2,1,2,1] [6,4,7,3,5,1,8,2]=>1010101=>[1,2,2,2,1] [6,4,7,5,1,8,2,3]=>1011010=>[1,2,1,2,2] [3,6,1,7,5,8,2,4]=>0101010=>[2,2,2,2] [7,3,5,1,6,8,2,4]=>1010010=>[1,2,3,2] [4,7,3,5,6,1,8,2]=>0100101=>[2,3,2,1] [3,4,6,8,5,1,7,2]=>0001101=>[4,1,2,1] [4,6,8,2,1,5,7,3]=>0011001=>[3,1,3,1] [6,8,2,1,3,5,7,4]=>0110001=>[2,1,4,1] [1,8,2,3,5,7,4,6]=>0100010=>[2,4,2] [2,7,3,6,1,4,5,8]=>0101000=>[2,2,4] [2,6,1,3,5,8,4,7]=>0100010=>[2,4,2] [7,3,2,5,6,1,4,8]=>1100100=>[1,1,3,3] [4,7,5,2,6,1,3,8]=>0110100=>[2,1,2,3] [4,6,2,8,1,5,3,7]=>0101010=>[2,2,2,2] [8,4,1,2,7,5,3,6]=>1100110=>[1,1,3,1,2] [4,5,6,2,7,1,3,8]=>0010100=>[3,2,3] [8,5,1,2,6,3,4,7]=>1100100=>[1,1,3,3] [1,6,2,7,4,8,3,5]=>0101010=>[2,2,2,2] [6,2,1,7,8,5,3,4]=>1100110=>[1,1,3,1,2] [6,7,3,8,4,1,5,2]=>0101101=>[2,2,1,2,1] [2,7,8,4,1,5,6,3]=>0011001=>[3,1,3,1] [2,7,1,8,5,6,3,4]=>0101010=>[2,2,2,2] [8,2,5,1,6,7,3,4]=>1010010=>[1,2,3,2] [8,2,4,5,1,6,7,3]=>1001001=>[1,3,3,1] [3,8,4,5,6,1,7,2]=>0100101=>[2,3,2,1] [4,5,8,3,6,7,1,2]=>0010010=>[3,3,2] [4,5,8,3,7,6,1,2]=>0010110=>[3,2,1,2] [4,2,8,3,7,1,6,5]=>1010101=>[1,2,2,2,1] [7,2,3,4,8,1,6,5]=>1000101=>[1,4,2,1] [7,2,3,4,8,1,5,6]=>1000100=>[1,4,3] [7,6,3,4,8,5,1,2]=>1100110=>[1,1,3,1,2] [7,6,3,5,8,4,1,2]=>1100110=>[1,1,3,1,2] [7,6,3,8,4,5,1,2]=>1101010=>[1,1,2,2,2] [7,2,3,8,5,1,4,6]=>1001100=>[1,3,1,3] [7,2,3,8,5,1,6,4]=>1001101=>[1,3,1,2,1] [2,6,4,8,1,5,7,3]=>0101001=>[2,2,3,1] [7,2,3,8,4,1,5,6]=>1001100=>[1,3,1,3] [7,2,3,5,8,1,4,6]=>1000100=>[1,4,3] [7,8,2,3,6,1,4,5]=>0100100=>[2,3,3] [7,8,2,3,6,1,5,4]=>0100101=>[2,3,2,1] [4,2,6,3,7,1,5,8]=>1010100=>[1,2,2,3] [7,2,3,5,8,1,6,4]=>1000101=>[1,4,2,1] [7,2,3,8,4,1,6,5]=>1001101=>[1,3,1,2,1] [2,6,4,8,1,3,7,5]=>0101001=>[2,2,3,1] [3,6,4,8,1,7,5,2]=>0101011=>[2,2,2,1,1] [7,6,5,1,2,3,8,4]=>1110001=>[1,1,1,4,1] [7,6,5,1,4,2,8,3]=>1110101=>[1,1,1,2,2,1] [2,6,4,5,1,8,7,3]=>0101011=>[2,2,2,1,1] [3,5,6,4,1,2,7,8]=>0011000=>[3,1,4] [7,8,5,4,1,2,6,3]=>0111001=>[2,1,1,3,1] [3,5,6,4,1,2,8,7]=>0011001=>[3,1,3,1] [7,6,5,1,4,2,3,8]=>1110100=>[1,1,1,2,3] [7,6,5,1,2,4,3,8]=>1110010=>[1,1,1,3,2] [7,6,5,1,2,4,8,3]=>1110001=>[1,1,1,4,1] [7,6,5,1,3,2,8,4]=>1110101=>[1,1,1,2,2,1] [7,6,5,1,3,2,4,8]=>1110100=>[1,1,1,2,3] [7,6,5,1,3,4,2,8]=>1110010=>[1,1,1,3,2] [7,2,3,4,5,1,8,6]=>1000101=>[1,4,2,1] [2,6,4,3,1,5,8,7]=>0111001=>[2,1,1,3,1] [2,6,4,3,1,8,5,7]=>0111010=>[2,1,1,2,2] [2,6,4,3,1,8,7,5]=>0111011=>[2,1,1,2,1,1] [3,5,8,4,1,2,7,6]=>0011001=>[3,1,3,1] [3,5,8,4,1,2,6,7]=>0011000=>[3,1,4] [3,5,8,4,1,6,2,7]=>0011010=>[3,1,2,2] [4,2,8,3,6,1,7,5]=>1010101=>[1,2,2,2,1] [3,5,8,4,1,6,7,2]=>0011001=>[3,1,3,1] [2,5,8,4,1,7,3,6]=>0011010=>[3,1,2,2] [3,6,4,2,1,7,8,5]=>0111001=>[2,1,1,3,1] [3,6,4,2,1,7,5,8]=>0111010=>[2,1,1,2,2] [3,5,6,4,1,8,7,2]=>0011011=>[3,1,2,1,1] [2,6,4,5,1,3,7,8]=>0101000=>[2,2,4] [7,6,5,1,4,3,8,2]=>1110101=>[1,1,1,2,2,1] [7,6,5,1,2,8,4,3]=>1110011=>[1,1,1,3,1,1] [7,6,5,1,2,8,3,4]=>1110010=>[1,1,1,3,2] [7,6,5,1,8,2,4,3]=>1110101=>[1,1,1,2,2,1] [7,6,5,1,8,2,3,4]=>1110100=>[1,1,1,2,3] [7,6,5,1,8,3,2,4]=>1110110=>[1,1,1,2,1,2] [7,6,5,1,4,8,2,3]=>1110010=>[1,1,1,3,2] [3,6,4,5,1,7,2,8]=>0101010=>[2,2,2,2] [2,5,6,4,1,7,8,3]=>0011001=>[3,1,3,1] [7,8,5,4,1,6,3,2]=>0111011=>[2,1,1,2,1,1] [2,5,6,4,1,7,3,8]=>0011010=>[3,1,2,2] [3,6,4,5,1,7,8,2]=>0101001=>[2,2,3,1] [7,6,5,1,4,8,3,2]=>1110011=>[1,1,1,3,1,1] [7,6,5,1,8,3,4,2]=>1110101=>[1,1,1,2,2,1] [7,6,5,1,8,4,2,3]=>1110110=>[1,1,1,2,1,2] [4,1,7,6,2,8,5,3]=>1011011=>[1,2,1,2,1,1] [7,8,6,2,1,3,5,4]=>0111001=>[2,1,1,3,1] [3,7,6,1,2,8,4,5]=>0110010=>[2,1,3,2] [2,6,5,3,1,4,8,7]=>0111001=>[2,1,1,3,1] [4,6,1,5,3,2,8,7]=>0101101=>[2,2,1,2,1] [3,6,1,4,2,5,8,7]=>0101001=>[2,2,3,1] [2,6,4,5,7,8,1,3]=>0100010=>[2,4,2] [8,7,1,6,5,2,4,3]=>1101101=>[1,1,2,1,2,1] [7,2,5,6,8,1,3,4]=>1000100=>[1,4,3] [6,1,3,4,2,8,7,5]=>1001011=>[1,3,2,1,1] [2,4,5,6,1,8,7,3]=>0001011=>[4,2,1,1] [8,4,1,6,5,7,3,2]=>1101011=>[1,1,2,2,1,1] [2,8,3,4,7,5,1,6]=>0100110=>[2,3,1,2] [6,8,2,7,4,3,5,1]=>0101101=>[2,2,1,2,1] [4,7,8,5,1,6,3,2]=>0011011=>[3,1,2,1,1] [8,2,6,4,7,3,5,1]=>1010101=>[1,2,2,2,1] [4,8,6,1,7,3,2,5]=>0110110=>[2,1,2,1,2] [8,7,3,2,1,5,4,6]=>1111010=>[1,1,1,1,2,2] [3,8,5,1,7,2,4,6]=>0110100=>[2,1,2,3] [6,8,7,1,3,2,4,5]=>0110100=>[2,1,2,3] [2,5,1,8,7,4,6,3]=>0101101=>[2,2,1,2,1] [3,7,1,8,4,5,6,2]=>0101001=>[2,2,3,1] [6,2,3,8,4,7,5,1]=>1001011=>[1,3,2,1,1] [8,6,4,3,1,7,2,5]=>1111010=>[1,1,1,1,2,2] [8,3,7,4,6,1,2,5]=>1010100=>[1,2,2,3] [7,1,3,8,6,4,5,2]=>1001101=>[1,3,1,2,1] [2,3,5,8,6,7,4,1]=>0001011=>[4,2,1,1] [7,4,2,1,8,6,5,3]=>1110111=>[1,1,1,2,1,1,1] [4,6,7,2,5,8,3,1]=>0010011=>[3,3,1,1] [7,6,2,5,3,8,1,4]=>1101010=>[1,1,2,2,2] [6,2,1,3,4,8,7,5]=>1100011=>[1,1,4,1,1] [6,5,4,2,8,3,1,7]=>1110110=>[1,1,1,2,1,2] [5,4,3,1,8,7,2,6]=>1110110=>[1,1,1,2,1,2] [6,1,4,3,8,5,2,7]=>1010110=>[1,2,2,1,2] [4,7,6,2,8,1,5,3]=>0110101=>[2,1,2,2,1] [6,4,5,1,7,8,3,2]=>1010011=>[1,2,3,1,1] [4,2,3,1,7,8,6,5]=>1010011=>[1,2,3,1,1] [3,4,2,1,8,6,7,5]=>0110101=>[2,1,2,2,1] [2,7,6,8,1,5,3,4]=>0101010=>[2,2,2,2] [6,4,5,8,3,1,2,7]=>1001100=>[1,3,1,3] [8,1,3,2,5,6,7,4]=>1010001=>[1,2,4,1] [3,6,8,1,5,2,4,7]=>0010100=>[3,2,3] [3,2,8,7,4,5,1,6]=>1011010=>[1,2,1,2,2] [6,3,8,5,7,4,2,1]=>1010111=>[1,2,2,1,1,1] [7,4,6,8,5,1,2,3]=>1001100=>[1,3,1,3] [2,1,4,8,7,5,3,6]=>1001110=>[1,3,1,1,2] [2,1,6,8,3,7,5,4]=>1001011=>[1,3,2,1,1] [3,6,8,2,4,1,5,7]=>0010100=>[3,2,3] [6,2,8,1,7,5,4,3]=>1010111=>[1,2,2,1,1,1] [2,6,5,4,8,1,3,7]=>0110100=>[2,1,2,3] [6,5,3,4,8,1,7,2]=>1100101=>[1,1,3,2,1] [8,4,3,2,5,1,7,6]=>1110101=>[1,1,1,2,2,1] [4,2,8,1,5,3,6,7]=>1010100=>[1,2,2,3] [5,1,8,2,6,4,3,7]=>1010110=>[1,2,2,1,2] [7,4,8,6,2,1,3,5]=>1011100=>[1,2,1,1,3] [4,6,2,8,3,7,5,1]=>0101011=>[2,2,2,1,1] [2,1,5,8,3,6,4,7]=>1001010=>[1,3,2,2] [2,8,5,3,6,7,1,4]=>0110010=>[2,1,3,2] [7,8,5,6,4,1,3,2]=>0101101=>[2,2,1,2,1] [5,8,4,1,6,3,7,2]=>0110101=>[2,1,2,2,1] [4,8,1,3,5,7,6,2]=>0100011=>[2,4,1,1] [3,8,1,4,5,6,2,7]=>0100010=>[2,4,2] [9,7,8,5,6,3,1,4,2]=>10101101=>[1,2,2,1,2,1] [9,7,8,5,3,6,1,4,2]=>10110101=>[1,2,1,2,2,1] [9,7,5,8,3,6,1,4,2]=>11010101=>[1,1,2,2,2,1] [7,9,5,8,3,6,1,4,2]=>01010101=>[2,2,2,2,1] [7,6,8,3,5,1,4,2]=>1010101=>[1,2,2,2,1] [8,9,5,7,3,6,1,4,2]=>01010101=>[2,2,2,2,1] [8,9,6,7,3,5,1,4,2]=>01010101=>[2,2,2,2,1] [8,9,6,7,4,5,1,3,2]=>01010101=>[2,2,2,2,1] [8,9,6,7,4,5,2,3,1]=>01010101=>[2,2,2,2,1] [9,10,7,8,5,6,3,1,4,2]=>010101101=>[2,2,2,1,2,1] [9,7,8,5,3,1,6,4,2]=>10111011=>[1,2,1,1,2,1,1] [9,10,7,8,5,3,6,1,4,2]=>010110101=>[2,2,1,2,2,1] [9,7,5,3,8,6,1,4,2]=>11101101=>[1,1,1,2,1,2,1] [9,10,7,5,8,3,6,1,4,2]=>011010101=>[2,1,2,2,2,1] [7,5,9,8,3,6,1,4,2]=>10110101=>[1,2,1,2,2,1] [9,7,10,5,8,3,6,1,4,2]=>101010101=>[1,2,2,2,2,1] [7,8,6,3,5,1,4,2]=>0110101=>[2,1,2,2,1] [5,3,8,7,6,1,4,2]=>1011101=>[1,2,1,1,2,1] [9,8,5,7,3,6,1,4,2]=>11010101=>[1,1,2,2,2,1] [10,7,9,5,8,3,6,1,4,2]=>101010101=>[1,2,2,2,2,1] [7,9,6,8,3,5,1,4,2]=>01010101=>[2,2,2,2,1] [10,8,9,5,7,3,6,1,4,2]=>101010101=>[1,2,2,2,2,1] [6,5,8,4,7,1,3,2]=>1010101=>[1,2,2,2,1] [8,9,5,7,4,6,1,3,2]=>01010101=>[2,2,2,2,1] [10,8,9,6,7,3,5,1,4,2]=>101010101=>[1,2,2,2,2,1] [8,9,6,7,3,5,2,4,1]=>01010101=>[2,2,2,2,1] [10,8,9,6,7,4,5,1,3,2]=>101010101=>[1,2,2,2,2,1] [6,7,4,2,5,3,1,8]=>0110110=>[2,1,2,1,2] [7,6,4,8,3,1,5,2]=>1101101=>[1,1,2,1,2,1] [7,4,8,5,6,1,3,2]=>1010101=>[1,2,2,2,1] [7,4,2,5,6,3,1,8]=>1100110=>[1,1,3,1,2] [4,2,7,5,6,3,1,8]=>1010110=>[1,2,2,1,2] [3,4,7,5,6,2,1,8]=>0010110=>[3,2,1,2] [4,7,3,5,6,2,1,8]=>0100110=>[2,3,1,2] [3,7,2,5,6,4,1,8]=>0100110=>[2,3,1,2] [7,8,3,5,6,1,4,2]=>0100101=>[2,3,2,1] [1,6,8,5,2,7,4,3]=>0011011=>[3,1,2,1,1] [6,2,8,5,1,7,4,3]=>1011011=>[1,2,1,2,1,1] [6,7,4,8,2,1,5,3]=>0101101=>[2,2,1,2,1] [3,2,7,8,6,1,5,4]=>1001101=>[1,3,1,2,1] [6,8,4,1,2,3,7,5]=>0110001=>[2,1,4,1] [4,1,8,5,6,3,2,7]=>1010110=>[1,2,2,1,2] [1,8,2,5,6,4,3,7]=>0100110=>[2,3,1,2] [6,1,8,5,3,7,4,2]=>1011011=>[1,2,1,2,1,1] [3,8,1,5,2,7,6,4]=>0101011=>[2,2,2,1,1] [8,2,1,5,3,7,6,4]=>1101011=>[1,1,2,2,1,1] [1,5,2,4,6,7,8,3]=>0100001=>[2,5,1] [4,1,5,3,6,7,8,2]=>1010001=>[1,2,4,1] [8,1,6,5,3,7,2,4]=>1011010=>[1,2,1,2,2] [7,1,4,6,3,2,8,5]=>1001101=>[1,3,1,2,1] [3,2,6,4,1,7,8,5]=>1011001=>[1,2,1,3,1] [7,6,4,3,1,2,8,5]=>1111001=>[1,1,1,1,3,1] [8,6,3,5,1,7,2,4]=>1101010=>[1,1,2,2,2] [4,5,3,1,6,7,8,2]=>0110001=>[2,1,4,1] [3,5,2,1,6,7,8,4]=>0110001=>[2,1,4,1] [5,2,3,1,6,7,8,4]=>1010001=>[1,2,4,1] [1,5,3,2,6,7,8,4]=>0110001=>[2,1,4,1] [8,4,6,5,1,7,2,3]=>1011010=>[1,2,1,2,2] [7,5,4,6,1,2,8,3]=>1101001=>[1,1,2,3,1] [3,2,5,6,1,7,8,4]=>1001001=>[1,3,3,1] [3,2,8,7,6,1,4,5]=>1011100=>[1,2,1,1,3] [6,8,4,7,2,1,3,5]=>0101100=>[2,2,1,3] [3,8,7,5,6,1,2,4]=>0110100=>[2,1,2,3] [8,2,7,5,6,1,3,4]=>1010100=>[1,2,2,3] [4,8,6,5,1,7,3,2]=>0111011=>[2,1,1,2,1,1] [1,7,4,6,2,3,8,5]=>0101001=>[2,2,3,1] [7,6,4,2,1,5,8,3]=>1111001=>[1,1,1,1,3,1] [5,7,4,6,1,3,8,2]=>0101001=>[2,2,3,1] [8,6,4,7,3,1,2,5]=>1101100=>[1,1,2,1,3] [5,2,4,3,7,1,8,6]=>1010101=>[1,2,2,2,1] [3,5,4,2,7,1,8,6]=>0110101=>[2,1,2,2,1] [8,6,4,1,3,5,2,7]=>1110010=>[1,1,1,3,2] [6,7,4,1,5,3,8,2]=>0110101=>[2,1,2,2,1] [7,5,4,1,2,6,8,3]=>1110001=>[1,1,1,4,1] [1,7,4,2,3,6,8,5]=>0110001=>[2,1,4,1] [1,8,2,5,3,7,6,4]=>0101011=>[2,2,2,1,1] [6,8,1,5,4,7,3,2]=>0101011=>[2,2,2,1,1] [8,2,1,5,6,4,3,7]=>1100110=>[1,1,3,1,2] [3,8,1,5,6,4,2,7]=>0100110=>[2,3,1,2] [6,8,4,1,2,5,3,7]=>0110010=>[2,1,3,2] [3,2,8,1,6,5,4,7]=>1010110=>[1,2,2,1,2] [3,2,6,1,5,7,8,4]=>1010001=>[1,2,4,1] [7,6,4,1,5,2,8,3]=>1110101=>[1,1,1,2,2,1] [8,6,1,5,4,7,2,3]=>1101010=>[1,1,2,2,2] [3,5,1,4,6,7,8,2]=>0100001=>[2,5,1] [5,2,1,4,6,7,8,3]=>1100001=>[1,1,5,1] [5,4,1,3,6,7,8,2]=>1100001=>[1,1,5,1] [8,4,1,5,3,7,2,6]=>1101010=>[1,1,2,2,2] [7,5,4,1,3,2,8,6]=>1110101=>[1,1,1,2,2,1] [3,2,5,1,4,7,8,6]=>1010001=>[1,2,4,1] [7,1,4,3,5,2,8,6]=>1010101=>[1,2,2,2,1] [8,1,3,5,4,7,2,6]=>1001010=>[1,3,2,2] [5,1,3,4,6,7,8,2]=>1000001=>[1,6,1] [3,1,8,2,5,7,4,6]=>1010010=>[1,2,3,2] [8,3,2,6,1,4,7,5]=>1101001=>[1,1,2,3,1] [2,8,1,6,4,3,7,5]=>0101101=>[2,2,1,2,1] [2,6,1,3,8,7,5,4]=>0100111=>[2,3,1,1,1] [2,5,7,1,3,8,6,4]=>0010011=>[3,3,1,1] [2,6,8,1,5,7,4,3]=>0010011=>[3,3,1,1] [2,7,1,5,8,4,6,3]=>0100101=>[2,3,2,1] [2,7,1,6,4,8,3,5]=>0101010=>[2,2,2,2] [2,7,1,6,5,3,8,4]=>0101101=>[2,2,1,2,1] [2,8,1,7,6,5,4,3]=>0101111=>[2,2,1,1,1,1] [8,3,2,7,1,6,5,4]=>1101011=>[1,1,2,2,1,1] [4,1,8,7,3,2,6,5]=>1011101=>[1,2,1,1,2,1] [4,1,7,2,8,6,5,3]=>1010111=>[1,2,2,1,1,1] [3,7,1,8,6,5,4,2]=>0101111=>[2,2,1,1,1,1] [3,7,6,1,4,2,5,8]=>0110100=>[2,1,2,3] [3,7,5,1,4,6,8,2]=>0110001=>[2,1,4,1] [3,6,8,5,1,4,7,2]=>0011001=>[3,1,3,1] [7,3,5,8,2,1,4,6]=>1001100=>[1,3,1,3] [7,3,6,2,1,4,5,8]=>1011000=>[1,2,1,4] [7,3,6,2,1,5,4,8]=>1011010=>[1,2,1,2,2] [7,4,2,8,1,6,5,3]=>1101011=>[1,1,2,2,1,1] [8,7,5,3,2,1,6,4]=>1111101=>[1,1,1,1,1,2,1] [7,5,2,6,3,1,4,8]=>1101100=>[1,1,2,1,3] [7,4,6,2,1,8,3,5]=>1011010=>[1,2,1,2,2] [6,8,4,5,2,1,7,3]=>0101101=>[2,2,1,2,1] [4,6,8,5,1,7,3,2]=>0011011=>[3,1,2,1,1] [4,7,5,1,3,8,6,2]=>0110011=>[2,1,3,1,1] [4,7,6,1,5,3,2,8]=>0110110=>[2,1,2,1,2] [5,1,7,6,3,8,2,4]=>1011010=>[1,2,1,2,2] [5,1,7,6,4,2,8,3]=>1011101=>[1,2,1,1,2,1] [5,1,8,7,6,4,3,2]=>1011111=>[1,2,1,1,1,1,1] [8,5,2,1,7,6,4,3]=>1110111=>[1,1,1,2,1,1,1] [8,5,2,1,6,3,7,4]=>1110101=>[1,1,1,2,2,1] [5,1,8,6,3,2,7,4]=>1011101=>[1,2,1,1,2,1] [3,6,1,7,4,8,2,5]=>0101010=>[2,2,2,2] [4,1,8,6,3,7,2,5]=>1011010=>[1,2,1,2,2] [8,4,2,5,7,3,1,6]=>1100110=>[1,1,3,1,2] [3,4,6,8,5,7,1,2]=>0001010=>[4,2,2] [5,4,8,2,7,3,6,1]=>1010101=>[1,2,2,2,1] [5,4,8,7,3,6,1,2]=>1011010=>[1,2,1,2,2] [8,5,4,7,3,6,2,1]=>1101011=>[1,1,2,2,1,1] [6,4,3,8,7,1,2,5]=>1101100=>[1,1,2,1,3] [6,3,7,2,4,8,1,5]=>1010010=>[1,2,3,2] [5,6,8,4,2,7,3,1]=>0011011=>[3,1,2,1,1] [5,7,4,2,8,1,3,6]=>0110100=>[2,1,2,3] [6,5,2,7,1,3,8,4]=>1101001=>[1,1,2,3,1] [8,6,5,4,2,1,7,3]=>1111101=>[1,1,1,1,1,2,1] [6,4,7,3,1,8,2,5]=>1011010=>[1,2,1,2,2] [5,7,4,3,8,6,1,2]=>0110110=>[2,1,2,1,2] [7,5,8,4,6,3,2,1]=>1010111=>[1,2,2,1,1,1] [7,6,4,8,3,5,2,1]=>1101011=>[1,1,2,2,1,1] [7,6,5,3,8,2,4,1]=>1110101=>[1,1,1,2,2,1] [6,5,4,3,2,1,9,8,7]=>11111011=>[1,1,1,1,1,2,1,1] [6,5,4,3,2,1,8,7,9]=>11111010=>[1,1,1,1,1,2,2] [5,4,3,2,1,9,8,7,6]=>11110111=>[1,1,1,1,2,1,1,1] [5,4,3,2,1,8,7,6,9]=>11110110=>[1,1,1,1,2,1,2] [5,4,3,2,1,7,6,9,8]=>11110101=>[1,1,1,1,2,2,1] [5,4,3,2,1,7,6,8,9]=>11110100=>[1,1,1,1,2,3] [4,3,2,1,8,7,6,5,9]=>11101110=>[1,1,1,2,1,1,2] [4,3,2,1,7,6,5,9,8]=>11101101=>[1,1,1,2,1,2,1] [4,3,2,1,7,6,5,8,9]=>11101100=>[1,1,1,2,1,3] [4,3,2,1,6,5,8,7,9]=>11101010=>[1,1,1,2,2,2] [4,3,2,1,6,5,7,8,9]=>11101000=>[1,1,1,2,4] [3,2,1,6,5,4,8,7,9]=>11011010=>[1,1,2,1,2,2] [3,2,1,6,5,4,7,8,9]=>11011000=>[1,1,2,1,4] [3,2,1,5,4,7,6,9,8]=>11010101=>[1,1,2,2,2,1] [3,2,1,5,4,7,6,8,9]=>11010100=>[1,1,2,2,3] [3,2,1,5,4,6,7,8,9]=>11010000=>[1,1,2,5] [2,1,4,3,6,5,7,8,9]=>10101000=>[1,2,2,4] [2,1,4,3,5,6,7,8,9]=>10100000=>[1,2,6] [7,6,5,4,3,2,1,10,9,8]=>111111011=>[1,1,1,1,1,1,2,1,1] [7,6,5,4,3,2,1,9,8,10]=>111111010=>[1,1,1,1,1,1,2,2] [6,5,4,3,2,1,9,8,7,10]=>111110110=>[1,1,1,1,1,2,1,2] [6,5,4,3,2,1,8,7,9,10]=>111110100=>[1,1,1,1,1,2,3] [5,4,3,2,1,9,8,7,6,10]=>111101110=>[1,1,1,1,2,1,1,2] [5,4,3,2,1,8,7,6,10,9]=>111101101=>[1,1,1,1,2,1,2,1] [5,4,3,2,1,8,7,6,9,10]=>111101100=>[1,1,1,1,2,1,3] [5,4,3,2,1,7,6,9,8,10]=>111101010=>[1,1,1,1,2,2,2] [5,4,3,2,1,7,6,8,9,10]=>111101000=>[1,1,1,1,2,4] [4,3,2,1,8,7,6,5,9,10]=>111011100=>[1,1,1,2,1,1,3] [4,3,2,1,7,6,5,10,9,8]=>111011011=>[1,1,1,2,1,2,1,1] [4,3,2,1,7,6,5,8,9,10]=>111011000=>[1,1,1,2,1,4] [4,3,2,1,6,5,8,7,9,10]=>111010100=>[1,1,1,2,2,3] [4,3,2,1,6,5,7,8,9,10]=>111010000=>[1,1,1,2,5] [3,2,1,6,5,4,9,8,7,10]=>110110110=>[1,1,2,1,2,1,2] [3,2,1,6,5,4,8,7,10,9]=>110110101=>[1,1,2,1,2,2,1] [3,2,1,6,5,4,8,7,9,10]=>110110100=>[1,1,2,1,2,3] [3,2,1,6,5,4,7,8,9,10]=>110110000=>[1,1,2,1,5] [3,2,1,5,4,7,6,9,8,10]=>110101010=>[1,1,2,2,2,2] [3,2,1,5,4,7,6,8,9,10]=>110101000=>[1,1,2,2,4] [3,2,1,5,4,6,7,8,9,10]=>110100000=>[1,1,2,6] [2,1,4,3,6,5,8,7,9,10]=>101010100=>[1,2,2,2,3] [2,1,4,3,6,5,7,8,9,10]=>101010000=>[1,2,2,5] [2,1,4,3,5,6,7,8,9,10]=>101000000=>[1,2,7] [5,6,3,7,4,2,1,8]=>0101110=>[2,2,1,1,2] [7,6,3,8,5,1,4,2]=>1101101=>[1,1,2,1,2,1] [6,4,8,1,3,2,5,7]=>1010100=>[1,2,2,3] [7,4,8,6,3,1,5,2]=>1011101=>[1,2,1,1,2,1] [4,2,7,6,5,3,1,8]=>1011110=>[1,2,1,1,1,2] [3,7,2,4,6,5,1,8]=>0100110=>[2,3,1,2] [8,1,3,4,5,2,6,7]=>1000100=>[1,4,3] [1,6,8,4,2,5,3,7]=>0011010=>[3,1,2,2] [6,2,8,4,1,5,7,3]=>1011001=>[1,2,1,3,1] [6,7,4,8,5,1,2,3]=>0101100=>[2,2,1,3] [3,2,7,8,5,1,6,4]=>1001101=>[1,3,1,2,1] [3,2,8,1,5,4,6,7]=>1010100=>[1,2,2,3] [6,1,4,8,5,3,7,2]=>1001101=>[1,3,1,2,1] [1,4,8,5,2,6,7,3]=>0011001=>[3,1,3,1] [6,1,8,4,3,7,2,5]=>1011010=>[1,2,1,2,2] [3,7,1,4,2,5,8,6]=>0101001=>[2,2,3,1] [7,2,1,4,3,5,6,8]=>1101000=>[1,1,2,4] [4,1,5,3,6,8,2,7]=>1010010=>[1,2,3,2] [6,1,8,5,3,2,7,4]=>1011101=>[1,2,1,1,2,1] [7,1,4,6,3,8,5,2]=>1001011=>[1,3,2,1,1] [3,2,6,4,1,8,7,5]=>1011011=>[1,2,1,2,1,1] [7,6,4,3,1,8,2,5]=>1111010=>[1,1,1,1,2,2] [3,5,2,1,8,7,6,4]=>0110111=>[2,1,2,1,1,1] [1,5,3,2,8,6,4,7]=>0110110=>[2,1,2,1,2] [5,4,2,1,7,8,6,3]=>1110011=>[1,1,1,3,1,1] [8,2,7,6,5,1,3,4]=>1011100=>[1,2,1,1,3] [8,6,2,7,1,4,5,3]=>1101001=>[1,1,2,3,1] [1,7,3,6,2,8,5,4]=>0101011=>[2,2,2,1,1] [7,6,3,2,1,8,5,4]=>1111011=>[1,1,1,1,2,1,1] [8,6,3,7,4,1,2,5]=>1101100=>[1,1,2,1,3] [5,2,3,4,7,1,8,6]=>1000101=>[1,4,2,1] [8,6,3,1,4,5,7,2]=>1110001=>[1,1,1,4,1] [6,7,3,1,5,4,2,8]=>0110110=>[2,1,2,1,2] [5,8,3,1,2,4,7,6]=>0110001=>[2,1,4,1] [8,1,3,2,4,5,6,7]=>1010000=>[1,2,5] [8,4,1,7,2,3,6,5]=>1101001=>[1,1,2,3,1] [8,2,1,6,5,4,7,3]=>1101101=>[1,1,2,1,2,1] [3,8,1,5,6,4,7,2]=>0100101=>[2,3,2,1] [6,8,4,1,2,5,7,3]=>0110001=>[2,1,4,1] [3,2,8,1,6,5,7,4]=>1010101=>[1,2,2,2,1] [7,6,4,1,5,2,3,8]=>1110100=>[1,1,1,2,3] [8,6,1,5,4,7,3,2]=>1101011=>[1,1,2,2,1,1] [3,5,1,4,6,7,2,8]=>0100010=>[2,4,2] [5,2,1,4,7,6,3,8]=>1100110=>[1,1,3,1,2] [4,5,8,2,1,3,7,6]=>0011001=>[3,1,3,1] [5,8,2,3,1,4,6,7]=>0101000=>[2,2,4] [4,2,1,3,5,8,7,6]=>1100011=>[1,1,4,1,1] [5,4,1,3,6,2,8,7]=>1100101=>[1,1,3,2,1] [8,5,4,1,3,6,2,7]=>1110010=>[1,1,1,3,2] [3,2,5,1,4,6,8,7]=>1010001=>[1,2,4,1] [8,1,4,3,5,6,7,2]=>1010001=>[1,2,4,1] [7,1,3,5,4,6,2,8]=>1001010=>[1,3,2,2] [5,1,3,4,6,2,7,8]=>1000100=>[1,4,3] [4,1,3,2,5,7,6,8]=>1010010=>[1,2,3,2] [3,1,4,2,6,5,8,7,9]=>10101010=>[1,2,2,2,2] [3,1,5,2,6,4,8,7,9]=>10101010=>[1,2,2,2,2] [3,1,5,2,7,4,8,6,9]=>10101010=>[1,2,2,2,2] [3,1,5,2,7,4,6,9,8]=>10101001=>[1,2,2,3,1] [3,1,5,2,4,7,6,9,8]=>10100101=>[1,2,3,2,1] [3,1,2,5,4,7,6,9,8]=>10010101=>[1,3,2,2,1] [3,1,4,2,6,5,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [4,1,5,2,6,3,8,7,9]=>10101010=>[1,2,2,2,2] [3,1,5,2,6,4,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [3,1,6,2,7,4,8,5,9]=>10101010=>[1,2,2,2,2] [3,1,5,2,7,4,8,6,10,9]=>101010101=>[1,2,2,2,2,1] [3,1,5,2,8,4,9,6,7]=>10101010=>[1,2,2,2,2] [3,1,5,2,7,4,9,6,10,8]=>101010101=>[1,2,2,2,2,1] [3,1,5,2,7,4,6,8,9]=>10101000=>[1,2,2,4] [3,1,5,2,7,4,9,6,8,10]=>101010100=>[1,2,2,2,3] [3,1,5,2,4,7,9,6,8]=>10100010=>[1,2,4,2] [3,1,5,2,7,4,6,9,8,10]=>101010010=>[1,2,2,3,2] [3,1,2,5,7,4,6,9,8]=>10001001=>[1,4,3,1] [3,1,5,2,4,7,6,9,8,10]=>101001010=>[1,2,3,2,2] [1,3,5,2,4,7,6,9,8]=>00100101=>[3,3,2,1] [3,1,2,5,4,7,6,9,8,10]=>100101010=>[1,3,2,2,2] [6,8,2,4,5,1,3,7]=>0100100=>[2,3,3] [4,6,7,3,1,5,2,8]=>0011010=>[3,1,2,2] [5,8,1,2,4,7,3,6]=>0100010=>[2,4,2] [6,8,1,3,5,2,7,4]=>0100101=>[2,3,2,1] [6,8,3,1,4,5,7,2]=>0110001=>[2,1,4,1] [7,5,1,8,2,3,6,4]=>1101001=>[1,1,2,3,1] [5,3,8,4,2,6,7,1]=>1011001=>[1,2,1,3,1] [4,1,8,3,5,7,2,6]=>1010010=>[1,2,3,2] [3,4,7,2,6,1,8,5]=>0010101=>[3,2,2,1] [4,5,7,2,3,6,8,1]=>0010001=>[3,4,1] [2,6,3,4,7,5,8,1]=>0100101=>[2,3,2,1] [4,5,2,7,1,6,8,3]=>0101001=>[2,2,3,1] [3,4,1,6,5,8,2,7]=>0101010=>[2,2,2,2] [7,3,1,4,8,5,6,2]=>1100101=>[1,1,3,2,1] [5,6,3,1,7,4,2,8]=>0110110=>[2,1,2,1,2] [7,3,4,1,8,5,2,6]=>1010110=>[1,2,2,1,2] [6,4,2,8,7,1,5,3]=>1101101=>[1,1,2,1,2,1] [7,2,4,8,1,5,3,6]=>1001010=>[1,3,2,2] [4,6,3,1,7,8,5,2]=>0110011=>[2,1,3,1,1] [5,3,1,6,7,8,4,2]=>1100011=>[1,1,4,1,1] [4,1,6,2,7,8,5,3]=>1010011=>[1,2,3,1,1] [2,1,3,4,8,7,5,6]=>1000110=>[1,4,1,2] [4,5,6,7,8,9,1,2,3]=>00000100=>[6,3] [4,5,6,7,8,9,2,3,1]=>00000101=>[6,2,1] [5,6,7,8,9,1,2,3,4]=>00001000=>[5,4] [6,7,8,9,2,3,4,5,1]=>00010001=>[4,4,1] [8,9,6,7,5,4,3,2,1]=>01011111=>[2,2,1,1,1,1,1] [4,5,6,7,8,9,10,1,2,3]=>000000100=>[7,3] [4,5,6,7,8,9,10,2,3,1]=>000000101=>[7,2,1] [5,6,7,8,9,10,1,2,3,4]=>000001000=>[6,4] [5,6,7,8,9,10,3,4,1,2]=>000001010=>[6,2,2] [7,8,9,10,3,4,5,6,1,2]=>000100010=>[4,4,2] [7,8,9,10,5,6,3,4,1,2]=>000101010=>[4,2,2,2] [8,9,10,5,6,7,2,3,4,1]=>001001001=>[3,3,3,1] [4,8,3,7,6,5,1,2]=>0101110=>[2,2,1,1,2] [6,3,8,7,5,4,1,2]=>1011110=>[1,2,1,1,1,2] [5,3,8,7,6,4,1,2]=>1011110=>[1,2,1,1,1,2] [2,8,7,6,1,5,4,3]=>0111011=>[2,1,1,2,1,1] [5,2,8,7,6,1,4,3]=>1011101=>[1,2,1,1,2,1] [6,2,8,7,5,1,4,3]=>1011101=>[1,2,1,1,2,1] [7,8,2,6,5,1,4,3]=>0101101=>[2,2,1,2,1] [6,1,8,7,5,4,3,2]=>1011111=>[1,2,1,1,1,1,1] [3,1,8,7,6,5,4,2]=>1011111=>[1,2,1,1,1,1,1] [7,8,2,6,1,5,4,3]=>0101011=>[2,2,2,1,1] [6,2,8,7,1,5,4,3]=>1011011=>[1,2,1,2,1,1] [4,2,8,1,7,6,5,3]=>1010111=>[1,2,2,1,1,1] [4,8,2,7,6,1,5,3]=>0101101=>[2,2,1,2,1] [3,8,7,2,1,6,5,4]=>0111011=>[2,1,1,2,1,1] [6,5,8,7,1,4,3,2]=>1011011=>[1,2,1,2,1,1] [4,8,1,7,6,5,3,2]=>0101111=>[2,2,1,1,1,1] [5,4,1,8,7,6,3,2]=>1101111=>[1,1,2,1,1,1,1] [6,4,8,1,7,5,3,2]=>1010111=>[1,2,2,1,1,1] [7,8,4,1,6,5,3,2]=>0110111=>[2,1,2,1,1,1] [7,8,3,1,6,5,4,2]=>0110111=>[2,1,2,1,1,1] [6,3,8,1,7,5,4,2]=>1010111=>[1,2,2,1,1,1] [5,3,1,8,7,6,4,2]=>1101111=>[1,1,2,1,1,1,1] [7,8,2,1,6,5,4,3]=>0110111=>[2,1,2,1,1,1] [6,5,3,1,8,7,4,2]=>1110111=>[1,1,1,2,1,1,1] [6,4,3,1,8,7,5,2]=>1110111=>[1,1,1,2,1,1,1] [5,4,3,1,8,7,6,2]=>1110111=>[1,1,1,2,1,1,1] [7,5,2,1,8,6,4,3]=>1110111=>[1,1,1,2,1,1,1] [5,4,2,1,8,7,6,3]=>1110111=>[1,1,1,2,1,1,1] [7,3,2,1,8,6,5,4]=>1110111=>[1,1,1,2,1,1,1] [6,3,2,1,8,7,5,4]=>1110111=>[1,1,1,2,1,1,1] [9,7,5,3,1,10,8,6,4,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,7,5,3,1,10,9,6,4,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,6,5,3,1,10,8,7,4,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,6,5,3,1,10,9,7,4,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,6,5,3,1,10,9,8,4,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,7,4,3,1,10,8,6,5,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,7,4,3,1,10,9,6,5,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,6,4,3,1,10,8,7,5,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,6,4,3,1,10,9,7,5,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,6,4,3,1,10,9,8,5,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,5,4,3,1,10,8,7,6,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,5,4,3,1,10,9,7,6,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,5,4,3,1,10,9,8,6,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [6,5,4,3,1,10,9,8,7,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,7,5,2,1,10,8,6,4,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,7,5,2,1,10,9,6,4,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,6,5,2,1,10,8,7,4,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,6,5,2,1,10,9,7,4,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,6,5,2,1,10,9,8,4,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,7,4,2,1,10,8,6,5,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,7,4,2,1,10,9,6,5,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,6,4,2,1,10,8,7,5,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,6,4,2,1,10,9,7,5,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,6,4,2,1,10,9,8,5,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,5,4,2,1,10,8,7,6,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,5,4,2,1,10,9,7,6,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,5,4,2,1,10,9,8,6,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [6,5,4,2,1,10,9,8,7,3]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,7,3,2,1,10,8,6,5,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,7,3,2,1,10,9,6,5,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,6,3,2,1,10,8,7,5,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,6,3,2,1,10,9,7,5,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,6,3,2,1,10,9,8,5,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,5,3,2,1,10,8,7,6,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,5,3,2,1,10,9,7,6,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,5,3,2,1,10,9,8,6,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [6,5,3,2,1,10,9,8,7,4]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,4,3,2,1,10,8,7,6,5]=>111101111=>[1,1,1,1,2,1,1,1,1] [8,4,3,2,1,10,9,7,6,5]=>111101111=>[1,1,1,1,2,1,1,1,1] [7,4,3,2,1,10,9,8,6,5]=>111101111=>[1,1,1,1,2,1,1,1,1] [6,4,3,2,1,10,9,8,7,5]=>111101111=>[1,1,1,1,2,1,1,1,1] [11,9,7,5,3,1,12,10,8,6,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,7,5,3,1,12,11,8,6,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,7,5,3,1,12,10,9,6,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,7,5,3,1,12,11,9,6,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,7,5,3,1,12,11,10,6,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,6,5,3,1,12,10,8,7,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,6,5,3,1,12,11,8,7,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,6,5,3,1,12,10,9,7,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,6,5,3,1,12,11,9,7,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,6,5,3,1,12,11,10,7,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,6,5,3,1,12,10,9,8,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,6,5,3,1,12,11,9,8,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,6,5,3,1,12,11,10,8,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,6,5,3,1,12,11,10,9,4,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,7,4,3,1,12,10,8,6,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,7,4,3,1,12,11,8,6,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,7,4,3,1,12,10,9,6,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,7,4,3,1,12,11,9,6,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,7,4,3,1,12,11,10,6,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,6,4,3,1,12,10,8,7,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,6,4,3,1,12,11,8,7,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,6,4,3,1,12,10,9,7,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,6,4,3,1,12,11,9,7,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,6,4,3,1,12,11,10,7,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,6,4,3,1,12,10,9,8,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,6,4,3,1,12,11,9,8,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,6,4,3,1,12,11,10,8,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,6,4,3,1,12,11,10,9,5,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,5,4,3,1,12,10,8,7,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,5,4,3,1,12,11,8,7,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,5,4,3,1,12,10,9,7,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,5,4,3,1,12,11,9,7,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,5,4,3,1,12,11,10,7,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,5,4,3,1,12,10,9,8,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,5,4,3,1,12,11,9,8,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,5,4,3,1,12,11,10,8,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,5,4,3,1,12,11,10,9,6,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,6,5,4,3,1,12,10,9,8,7,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,6,5,4,3,1,12,11,9,8,7,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,6,5,4,3,1,12,11,10,8,7,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,6,5,4,3,1,12,11,10,9,7,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [7,6,5,4,3,1,12,11,10,9,8,2]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,7,5,2,1,12,10,8,6,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,7,5,2,1,12,11,8,6,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,7,5,2,1,12,10,9,6,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,7,5,2,1,12,11,9,6,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,7,5,2,1,12,11,10,6,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,6,5,2,1,12,10,8,7,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,6,5,2,1,12,11,8,7,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,6,5,2,1,12,10,9,7,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,6,5,2,1,12,11,9,7,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,6,5,2,1,12,11,10,7,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,6,5,2,1,12,10,9,8,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,6,5,2,1,12,11,9,8,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,6,5,2,1,12,11,10,8,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,6,5,2,1,12,11,10,9,4,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,7,4,2,1,12,10,8,6,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,7,4,2,1,12,11,8,6,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,7,4,2,1,12,10,9,6,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,7,4,2,1,12,11,9,6,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,7,4,2,1,12,11,10,6,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,6,4,2,1,12,10,8,7,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,6,4,2,1,12,11,8,7,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,6,4,2,1,12,10,9,7,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,6,4,2,1,12,11,9,7,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,6,4,2,1,12,11,10,7,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,6,4,2,1,12,10,9,8,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,6,4,2,1,12,11,9,8,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,6,4,2,1,12,11,10,8,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,6,4,2,1,12,11,10,9,5,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,5,4,2,1,12,10,8,7,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,5,4,2,1,12,11,8,7,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,5,4,2,1,12,10,9,7,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,5,4,2,1,12,11,9,7,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,5,4,2,1,12,11,10,7,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,5,4,2,1,12,10,9,8,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,5,4,2,1,12,11,9,8,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,5,4,2,1,12,11,10,8,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,5,4,2,1,12,11,10,9,6,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,6,5,4,2,1,12,10,9,8,7,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,6,5,4,2,1,12,11,9,8,7,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,6,5,4,2,1,12,11,10,8,7,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,6,5,4,2,1,12,11,10,9,7,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [7,6,5,4,2,1,12,11,10,9,8,3]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,7,3,2,1,12,10,8,6,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,7,3,2,1,12,11,8,6,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,7,3,2,1,12,10,9,6,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,7,3,2,1,12,11,9,6,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,7,3,2,1,12,11,10,6,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,6,3,2,1,12,10,8,7,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,6,3,2,1,12,11,8,7,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,6,3,2,1,12,10,9,7,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,6,3,2,1,12,11,9,7,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,6,3,2,1,12,11,10,7,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,6,3,2,1,12,10,9,8,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,6,3,2,1,12,11,9,8,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,6,3,2,1,12,11,10,8,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,6,3,2,1,12,11,10,9,5,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,5,3,2,1,12,10,8,7,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,5,3,2,1,12,11,8,7,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,5,3,2,1,12,10,9,7,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,5,3,2,1,12,11,9,7,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,5,3,2,1,12,11,10,7,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,5,3,2,1,12,10,9,8,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,5,3,2,1,12,11,9,8,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,5,3,2,1,12,11,10,8,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,5,3,2,1,12,11,10,9,6,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,6,5,3,2,1,12,10,9,8,7,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,6,5,3,2,1,12,11,9,8,7,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,6,5,3,2,1,12,11,10,8,7,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,6,5,3,2,1,12,11,10,9,7,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [7,6,5,3,2,1,12,11,10,9,8,4]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,9,4,3,2,1,12,10,8,7,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,4,3,2,1,12,11,8,7,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,8,4,3,2,1,12,10,9,7,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,8,4,3,2,1,12,11,9,7,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,8,4,3,2,1,12,11,10,7,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,7,4,3,2,1,12,10,9,8,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,7,4,3,2,1,12,11,9,8,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,7,4,3,2,1,12,11,10,8,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,7,4,3,2,1,12,11,10,9,6,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,6,4,3,2,1,12,10,9,8,7,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,6,4,3,2,1,12,11,9,8,7,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,6,4,3,2,1,12,11,10,8,7,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,6,4,3,2,1,12,11,10,9,7,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [7,6,4,3,2,1,12,11,10,9,8,5]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [11,5,4,3,2,1,12,10,9,8,7,6]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [10,5,4,3,2,1,12,11,9,8,7,6]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [9,5,4,3,2,1,12,11,10,8,7,6]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [8,5,4,3,2,1,12,11,10,9,7,6]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [7,5,4,3,2,1,12,11,10,9,8,6]=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] [6,1,4,2,3,5,8,7]=>1010001=>[1,2,4,1] [8,6,1,4,2,3,5,7]=>1101000=>[1,1,2,4] [6,8,1,4,2,3,5,7]=>0101000=>[2,2,4] [8,1,4,2,3,6,5,7]=>1010010=>[1,2,3,2] [4,1,8,2,3,6,5,7]=>1010010=>[1,2,3,2] [8,2,3,6,1,4,5,7]=>1001000=>[1,3,4] [6,2,3,8,1,4,5,7]=>1001000=>[1,3,4] [4,6,2,3,8,1,5,7]=>0100100=>[2,3,3] [4,8,2,3,6,1,5,7]=>0100100=>[2,3,3] [8,2,3,6,4,1,5,7]=>1001100=>[1,3,1,3] [8,4,3,6,2,1,5,7]=>1101100=>[1,1,2,1,3] [6,2,3,8,4,1,5,7]=>1001100=>[1,3,1,3] [8,4,2,3,6,1,5,7]=>1100100=>[1,1,3,3] [6,4,2,3,8,1,5,7]=>1100100=>[1,1,3,3] [2,6,4,3,8,1,5,7]=>0110100=>[2,1,2,3] [2,8,4,3,6,1,5,7]=>0110100=>[2,1,2,3] [2,6,3,8,4,1,5,7]=>0101100=>[2,2,1,3] [6,3,8,4,2,1,5,7]=>1011100=>[1,2,1,1,3] [2,6,3,8,1,4,5,7]=>0101000=>[2,2,4] [2,8,3,6,1,4,5,7]=>0101000=>[2,2,4] [8,3,6,4,2,1,5,7]=>1011100=>[1,2,1,1,3] [2,8,3,6,4,1,5,7]=>0101100=>[2,2,1,3] [8,3,6,2,4,1,5,7]=>1010100=>[1,2,2,3] [8,3,6,2,1,4,5,7]=>1011000=>[1,2,1,4] [6,2,1,3,8,4,5,7]=>1100100=>[1,1,3,3] [8,2,1,3,6,4,5,7]=>1100100=>[1,1,3,3] [6,3,8,2,4,1,5,7]=>1010100=>[1,2,2,3] [6,2,4,3,8,1,5,7]=>1010100=>[1,2,2,3] [3,6,4,7,8,5,1,2]=>0100110=>[2,3,1,2] [1,6,4,2,7,5,8,3]=>0110101=>[2,1,2,2,1] [3,6,4,2,7,1,5,8]=>0110100=>[2,1,2,3] [1,4,7,2,5,6,8,3]=>0010001=>[3,4,1] [6,4,8,5,3,7,1,2]=>1011010=>[1,2,1,2,2] [1,6,5,4,2,7,8,3]=>0111001=>[2,1,1,3,1] [4,2,5,3,6,1,7,8]=>1010100=>[1,2,2,3] [7,1,5,3,6,2,8,4]=>1010101=>[1,2,2,2,1] [1,6,5,2,4,8,7,3]=>0110011=>[2,1,3,1,1] [1,4,6,2,8,5,7,3]=>0010101=>[3,2,2,1] [7,8,1,4,2,5,6,3]=>0101001=>[2,2,3,1] [3,4,8,5,2,1,6,7]=>0011100=>[3,1,1,3] [4,8,5,3,1,6,2,7]=>0111010=>[2,1,1,2,2] [6,1,3,5,8,2,7,4]=>1000101=>[1,4,2,1] [6,1,8,7,4,2,3,5]=>1011100=>[1,2,1,1,3] [1,2,8,5,7,3,6,4]=>0010101=>[3,2,2,1] [1,3,6,8,7,5,2,4]=>0001110=>[4,1,1,2] [1,8,2,5,4,7,6,3]=>0101011=>[2,2,2,1,1] [7,1,2,4,5,8,6,3]=>1000011=>[1,5,1,1] [1,2,7,3,5,8,6,4]=>0010011=>[3,3,1,1] [6,1,3,2,5,7,8,4]=>1010001=>[1,2,4,1] [4,6,2,1,7,5,3,8]=>0110110=>[2,1,2,1,2] [1,6,3,7,8,5,2,4]=>0100110=>[2,3,1,2] [4,6,2,3,7,8,1,5]=>0100010=>[2,4,2] [4,6,3,7,1,2,8,5]=>0101001=>[2,2,3,1] [4,2,1,3,5,7,8,6]=>1100001=>[1,1,5,1] [7,3,2,4,5,1,8,6]=>1100101=>[1,1,3,2,1] [3,8,2,5,4,1,7,6]=>0101101=>[2,2,1,2,1] [7,8,4,2,6,3,1,5]=>0110110=>[2,1,2,1,2] [4,2,6,3,8,7,1,5]=>1010110=>[1,2,2,1,2] [5,8,2,7,4,3,1,6]=>0101110=>[2,2,1,1,2] [4,3,8,5,1,7,2,6]=>1011010=>[1,2,1,2,2] [4,3,6,8,1,2,7,5]=>1001001=>[1,3,3,1] [6,4,3,5,2,8,1,7]=>1101010=>[1,1,2,2,2] [6,5,3,8,4,2,1,7]=>1101110=>[1,1,2,1,1,2] [6,1,7,2,8,3,9,4,10,5]=>101010101=>[1,2,2,2,2,1] [6,1,7,8,9,10,2,3,4,5]=>100001000=>[1,5,4] [7,1,8,2,9,3,10,4,11,5,12,6]=>10101010101=>[1,2,2,2,2,2,1] [3,8,1,7,5,6,4,2]=>0101011=>[2,2,2,1,1] [8,2,5,7,3,6,4,1]=>1001011=>[1,3,2,1,1] [1,8,6,7,5,3,4,2]=>0101101=>[2,2,1,2,1] [8,2,6,7,5,3,4,1]=>1001101=>[1,3,1,2,1] [1,5,8,7,2,6,4,3]=>0011011=>[3,1,2,1,1] [5,4,8,6,2,3,7,1]=>1011001=>[1,2,1,3,1] [2,7,6,1,3,5,4,8]=>0110010=>[2,1,3,2] [6,4,1,8,2,5,7,3]=>1101001=>[1,1,2,3,1] [2,8,6,1,3,5,4,7]=>0110010=>[2,1,3,2] [4,1,3,6,5,8,7,2]=>1001011=>[1,3,2,1,1] [2,1,6,3,5,8,7,4]=>1010011=>[1,2,3,1,1] [2,4,1,3,8,5,7,6]=>0100101=>[2,3,2,1] [2,4,1,3,5,8,7,6]=>0100011=>[2,4,1,1] [2,6,1,3,5,8,7,4]=>0100011=>[2,4,1,1] [4,6,1,3,5,8,7,2]=>0100011=>[2,4,1,1] [6,1,4,3,5,8,7,2]=>1010011=>[1,2,3,1,1] [6,4,1,3,5,8,7,2]=>1100011=>[1,1,4,1,1] [6,2,1,3,5,8,7,4]=>1100011=>[1,1,4,1,1] [4,2,1,3,6,5,7,8]=>1100100=>[1,1,3,3] [4,2,1,6,3,5,7,8]=>1101000=>[1,1,2,4] [6,2,1,8,3,5,7,4]=>1101001=>[1,1,2,3,1] [6,2,1,3,8,5,7,4]=>1100101=>[1,1,3,2,1] [6,1,4,3,8,5,7,2]=>1010101=>[1,2,2,2,1] [1,6,4,3,8,5,7,2]=>0110101=>[2,1,2,2,1] [8,1,4,3,6,5,7,2]=>1010101=>[1,2,2,2,1] [8,4,1,3,6,5,7,2]=>1100101=>[1,1,3,2,1] [8,2,1,3,6,5,7,4]=>1100101=>[1,1,3,2,1] [8,2,1,6,3,5,7,4]=>1101001=>[1,1,2,3,1] [8,2,1,4,3,5,7,6]=>1101001=>[1,1,2,3,1] [6,2,1,4,3,5,7,8]=>1101000=>[1,1,2,4] [8,2,4,1,3,5,7,6]=>1010001=>[1,2,4,1] [8,2,6,1,3,5,7,4]=>1010001=>[1,2,4,1] [8,4,6,1,3,5,7,2]=>1010001=>[1,2,4,1] [8,4,1,6,3,5,7,2]=>1101001=>[1,1,2,3,1] [8,1,4,6,3,5,7,2]=>1001001=>[1,3,3,1] [1,8,4,6,3,5,7,2]=>0101001=>[2,2,3,1] [1,6,4,8,3,5,7,2]=>0101001=>[2,2,3,1] [6,4,1,8,3,5,7,2]=>1101001=>[1,1,2,3,1] [6,4,8,1,3,5,7,2]=>1010001=>[1,2,4,1] [6,2,8,1,3,5,7,4]=>1010001=>[1,2,4,1] [4,2,8,1,3,5,7,6]=>1010001=>[1,2,4,1] [2,6,8,1,3,5,7,4]=>0010001=>[3,4,1] [4,6,8,1,3,5,7,2]=>0010001=>[3,4,1] [4,6,1,8,3,5,7,2]=>0101001=>[2,2,3,1] [4,1,6,8,3,5,7,2]=>1001001=>[1,3,3,1] [1,4,6,3,8,5,7,2]=>0010101=>[3,2,2,1] [4,6,1,3,8,5,7,2]=>0100101=>[2,3,2,1] [2,4,1,8,3,5,7,6]=>0101001=>[2,2,3,1] [2,1,6,8,3,5,7,4]=>1001001=>[1,3,3,1] [4,1,3,6,8,5,7,2]=>1000101=>[1,4,2,1] [1,4,3,6,8,5,7,2]=>0100101=>[2,3,2,1] [4,1,3,8,6,5,7,2]=>1001101=>[1,3,1,2,1] [2,1,8,3,6,5,7,4]=>1010101=>[1,2,2,2,1] [2,1,6,4,3,5,7,8]=>1011000=>[1,2,1,4] [2,6,1,4,3,5,7,8]=>0101000=>[2,2,4] [2,8,1,4,3,5,7,6]=>0101001=>[2,2,3,1] [2,8,1,6,3,5,7,4]=>0101001=>[2,2,3,1] [4,8,1,3,6,5,7,2]=>0100101=>[2,3,2,1] [1,4,8,3,6,5,7,2]=>0010101=>[3,2,2,1] [1,4,8,6,3,5,7,2]=>0011001=>[3,1,3,1] [4,1,8,6,3,5,7,2]=>1011001=>[1,2,1,3,1] [4,8,1,6,3,5,7,2]=>0101001=>[2,2,3,1] [4,8,6,1,3,5,7,2]=>0110001=>[2,1,4,1] [2,8,6,1,3,5,7,4]=>0110001=>[2,1,4,1] [2,8,4,1,3,5,7,6]=>0110001=>[2,1,4,1] [2,6,4,1,3,5,7,8]=>0110000=>[2,1,5] [4,6,2,1,3,5,7,8]=>0110000=>[2,1,5] [6,8,1,4,3,5,7,2]=>0101001=>[2,2,3,1] [6,1,8,4,3,5,7,2]=>1011001=>[1,2,1,3,1] [1,6,8,4,3,5,7,2]=>0011001=>[3,1,3,1] [1,8,6,4,3,5,7,2]=>0111001=>[2,1,1,3,1] [8,1,6,4,3,5,7,2]=>1011001=>[1,2,1,3,1] [8,6,1,4,3,5,7,2]=>1101001=>[1,1,2,3,1] [8,6,4,1,3,5,7,2]=>1110001=>[1,1,1,4,1] [8,6,2,1,3,5,7,4]=>1110001=>[1,1,1,4,1] [8,4,2,1,3,5,7,6]=>1110001=>[1,1,1,4,1] [7,8,6,5,2,1,4,3]=>0111101=>[2,1,1,1,2,1] [5,7,4,1,8,6,3,2]=>0110111=>[2,1,2,1,1,1] [5,6,4,2,8,3,7,1]=>0110101=>[2,1,2,2,1] [5,6,4,2,7,3,1,8]=>0110110=>[2,1,2,1,2] [5,7,1,4,6,3,2,8]=>0100110=>[2,3,1,2] [5,8,1,4,6,3,7,2]=>0100101=>[2,3,2,1] [3,6,7,4,5,8,2,1]=>0010011=>[3,3,1,1] [3,5,7,4,6,8,2,1]=>0010011=>[3,3,1,1] [6,8,4,1,7,2,5,3]=>0110101=>[2,1,2,2,1] [5,4,6,1,7,8,3,2]=>1010011=>[1,2,3,1,1] [5,6,4,1,8,7,3,2]=>0110111=>[2,1,2,1,1,1] [3,5,8,4,6,7,2,1]=>0010011=>[3,3,1,1] [3,6,8,4,5,7,2,1]=>0010011=>[3,3,1,1] [3,7,8,4,5,6,2,1]=>0010011=>[3,3,1,1] [6,8,1,4,5,3,7,2]=>0100101=>[2,3,2,1] [6,7,1,4,5,3,2,8]=>0100110=>[2,3,1,2] [3,7,1,5,4,6,2,8]=>0101010=>[2,2,2,2] [3,8,1,5,4,6,7,2]=>0101001=>[2,2,3,1] [3,7,1,5,4,6,8,2]=>0101001=>[2,2,3,1] [6,7,1,4,5,3,8,2]=>0100101=>[2,3,2,1] [5,7,1,4,6,3,8,2]=>0100101=>[2,3,2,1] [5,6,4,2,7,3,8,1]=>0110101=>[2,1,2,2,1] [5,4,7,2,8,3,1,6]=>1010110=>[1,2,2,1,2] [5,4,7,2,8,3,6,1]=>1010101=>[1,2,2,2,1] [5,6,4,2,8,3,1,7]=>0110110=>[2,1,2,1,2] [5,8,1,4,6,3,2,7]=>0100110=>[2,3,1,2] [3,8,1,5,4,6,2,7]=>0101010=>[2,2,2,2] [3,6,1,5,4,2,7,8]=>0101100=>[2,2,1,3] [3,6,1,5,4,8,2,7]=>0101010=>[2,2,2,2] [6,8,3,1,4,2,5,7]=>0110100=>[2,1,2,3] [7,3,8,1,4,2,5,6]=>1010100=>[1,2,2,3] [6,7,3,1,4,2,8,5]=>0110101=>[2,1,2,2,1] [3,6,1,5,4,7,8,2]=>0101001=>[2,2,3,1] [3,4,1,2,7,6,5,8]=>0100110=>[2,3,1,2] [3,4,1,2,6,8,7,5]=>0100011=>[2,4,1,1] [6,8,3,1,4,7,2,5]=>0110010=>[2,1,3,2] [6,4,7,2,8,5,1,3]=>1010110=>[1,2,2,1,2] [5,8,1,4,7,3,2,6]=>0100110=>[2,3,1,2] [7,8,1,4,5,3,2,6]=>0100110=>[2,3,1,2] [3,8,1,5,4,7,2,6]=>0101010=>[2,2,2,2] [3,6,1,5,4,8,7,2]=>0101011=>[2,2,2,1,1] [3,6,1,5,4,7,2,8]=>0101010=>[2,2,2,2] [6,7,3,1,4,2,5,8]=>0110100=>[2,1,2,3] [6,8,3,1,4,2,7,5]=>0110101=>[2,1,2,2,1] [7,8,3,1,4,6,2,5]=>0110010=>[2,1,3,2] [7,8,4,2,6,5,1,3]=>0110110=>[2,1,2,1,2] [6,5,8,7,3,4,2,1]=>1011011=>[1,2,1,2,1,1] [7,8,3,1,4,6,5,2]=>0110011=>[2,1,3,1,1] [6,7,3,1,4,5,2,8]=>0110010=>[2,1,3,2] [3,7,1,5,4,2,6,8]=>0101100=>[2,2,1,3] [3,8,1,5,4,2,7,6]=>0101101=>[2,2,1,2,1] [5,8,1,4,7,3,6,2]=>0100101=>[2,3,2,1] [6,8,4,2,7,5,3,1]=>0110111=>[2,1,2,1,1,1] [6,4,7,2,8,5,3,1]=>1010111=>[1,2,2,1,1,1] [6,3,7,1,4,8,5,2]=>1010011=>[1,2,3,1,1] [6,8,3,1,4,7,5,2]=>0110011=>[2,1,3,1,1] [3,7,1,5,4,8,6,2]=>0101011=>[2,2,2,1,1] [3,4,1,2,8,5,7,6]=>0100101=>[2,3,2,1] [3,4,1,2,5,8,7,6]=>0100011=>[2,4,1,1] [3,7,1,5,4,2,8,6]=>0101101=>[2,2,1,2,1] [6,7,3,1,4,5,8,2]=>0110001=>[2,1,4,1] [7,3,8,1,4,5,2,6]=>1010010=>[1,2,3,2] [7,3,8,1,4,5,6,2]=>1010001=>[1,2,4,1] [6,8,3,1,4,5,2,7]=>0110010=>[2,1,3,2] [3,8,1,5,4,2,6,7]=>0101100=>[2,2,1,3] [9,8,7,6,5,4,2,1,3]=>11111110=>[1,1,1,1,1,1,1,2] [9,8,7,6,5,3,2,1,4]=>11111110=>[1,1,1,1,1,1,1,2] [8,7,6,3,5,2,1,4]=>1110110=>[1,1,1,2,1,2] [9,8,7,6,4,3,2,1,5]=>11111110=>[1,1,1,1,1,1,1,2] [8,7,4,6,3,2,1,5]=>1101110=>[1,1,2,1,1,2] [9,8,7,5,4,3,2,1,6]=>11111110=>[1,1,1,1,1,1,1,2] [8,5,7,4,3,2,1,6]=>1011110=>[1,2,1,1,1,2] [9,8,6,5,4,3,2,1,7]=>11111110=>[1,1,1,1,1,1,1,2] [9,7,6,5,4,3,2,1,8]=>11111110=>[1,1,1,1,1,1,1,2] [9,8,7,6,5,4,1,3,2]=>11111101=>[1,1,1,1,1,1,2,1] [10,9,8,7,6,5,4,2,1,3]=>111111110=>[1,1,1,1,1,1,1,1,2] [9,8,7,6,5,2,4,1,3]=>11111010=>[1,1,1,1,1,2,2] [10,9,8,7,6,5,3,2,1,4]=>111111110=>[1,1,1,1,1,1,1,1,2] [9,8,7,6,3,5,2,1,4]=>11110110=>[1,1,1,1,2,1,2] [10,9,8,7,6,4,3,2,1,5]=>111111110=>[1,1,1,1,1,1,1,1,2] [8,7,6,2,5,4,1,3]=>1110110=>[1,1,1,2,1,2] [9,8,7,4,6,3,2,1,5]=>11101110=>[1,1,1,2,1,1,2] [10,9,8,7,5,4,3,2,1,6]=>111111110=>[1,1,1,1,1,1,1,1,2] [8,5,4,7,3,2,1,6]=>1101110=>[1,1,2,1,1,2] [8,7,3,6,5,2,1,4]=>1101110=>[1,1,2,1,1,2] [9,8,5,7,4,3,2,1,6]=>11011110=>[1,1,2,1,1,1,2] [10,9,8,6,5,4,3,2,1,7]=>111111110=>[1,1,1,1,1,1,1,1,2] [6,5,8,4,3,2,1,7]=>1011110=>[1,2,1,1,1,2] [8,4,7,6,3,2,1,5]=>1011110=>[1,2,1,1,1,2] [9,6,8,5,4,3,2,1,7]=>10111110=>[1,2,1,1,1,1,2] [10,9,7,6,5,4,3,2,1,8]=>111111110=>[1,1,1,1,1,1,1,1,2] [5,8,7,4,3,2,1,6]=>0111110=>[2,1,1,1,1,2] [10,8,7,6,5,4,3,2,1,9]=>111111110=>[1,1,1,1,1,1,1,1,2] [5,8,6,2,3,4,7,1]=>0110001=>[2,1,4,1] [4,5,2,7,3,1,8,6]=>0101101=>[2,2,1,2,1] [4,8,2,6,3,5,7,1]=>0101001=>[2,2,3,1] [4,3,7,8,6,5,1,2]=>1001110=>[1,3,1,1,2] [4,1,7,2,5,8,6,3]=>1010011=>[1,2,3,1,1] [7,8,2,1,5,6,4,3]=>0110011=>[2,1,3,1,1] [1,6,2,5,8,4,3,7]=>0100110=>[2,3,1,2] [2,1,8,7,4,5,3,6]=>1011010=>[1,2,1,2,2] [7,3,1,6,8,5,2,4]=>1100110=>[1,1,3,1,2] [1,5,8,6,2,3,7,4]=>0011001=>[3,1,3,1] [2,4,8,3,1,6,5,7]=>0011010=>[3,1,2,2] [5,2,7,1,8,6,3,4]=>1010110=>[1,2,2,1,2] [2,6,1,3,8,7,4,5]=>0100110=>[2,3,1,2] [6,5,2,8,1,7,3,4]=>1101010=>[1,1,2,2,2] [2,8,3,5,1,7,4,6]=>0101010=>[2,2,2,2] [5,4,3,8,7,1,6,2]=>1101101=>[1,1,2,1,2,1] [8,5,4,3,7,2,6,1]=>1110101=>[1,1,1,2,2,1] [8,3,7,4,2,6,5,1]=>1011011=>[1,2,1,2,1,1] [2,8,6,5,1,7,4,3]=>0111011=>[2,1,1,2,1,1] [6,3,2,8,4,1,7,5]=>1101101=>[1,1,2,1,2,1] [2,8,3,4,1,7,5,6]=>0101010=>[2,2,2,2] [5,4,2,8,3,1,7,6]=>1101101=>[1,1,2,1,2,1] [2,8,4,3,1,7,6,5]=>0111011=>[2,1,1,2,1,1] [2,8,5,3,1,7,6,4]=>0111011=>[2,1,1,2,1,1] [2,8,6,4,1,7,5,3]=>0111011=>[2,1,1,2,1,1] [3,8,7,5,1,6,4,2]=>0111011=>[2,1,1,2,1,1] [8,3,7,5,2,6,4,1]=>1011011=>[1,2,1,2,1,1] [8,4,7,6,2,5,3,1]=>1011011=>[1,2,1,2,1,1] [4,8,7,6,1,5,3,2]=>0111011=>[2,1,1,2,1,1] [7,4,8,6,2,1,5,3]=>1011101=>[1,2,1,1,2,1] [7,3,8,5,2,1,6,4]=>1011101=>[1,2,1,1,2,1] [7,3,8,4,2,1,6,5]=>1011101=>[1,2,1,1,2,1] [7,5,4,3,8,2,1,6]=>1110110=>[1,1,1,2,1,2] [3,7,8,4,1,2,6,5]=>0011001=>[3,1,3,1] [3,7,8,5,1,2,6,4]=>0011001=>[3,1,3,1] [4,7,8,6,1,2,5,3]=>0011001=>[3,1,3,1] [8,7,4,6,3,5,2,1]=>1101011=>[1,1,2,2,1,1] [5,7,8,6,1,2,4,3]=>0011001=>[3,1,3,1] [6,4,7,8,3,1,2,5]=>1001100=>[1,3,1,3] [7,3,4,8,2,1,5,6]=>1001100=>[1,3,1,3] [7,6,4,8,3,2,1,5]=>1101110=>[1,1,2,1,1,2] [7,5,8,6,2,1,4,3]=>1011101=>[1,2,1,1,2,1] [6,5,8,7,3,1,4,2]=>1011101=>[1,2,1,1,2,1] [2,4,8,3,1,5,7,6]=>0011001=>[3,1,3,1] [6,3,2,4,8,1,5,7]=>1100100=>[1,1,3,3] [2,3,8,4,1,6,7,5]=>0011001=>[3,1,3,1] [2,3,8,5,1,6,7,4]=>0011001=>[3,1,3,1] [6,4,8,7,3,1,5,2]=>1011101=>[1,2,1,1,2,1] [8,6,4,7,3,2,5,1]=>1101101=>[1,1,2,1,2,1] [8,3,4,7,2,5,6,1]=>1001001=>[1,3,3,1] [3,4,8,7,1,5,6,2]=>0011001=>[3,1,3,1] [2,4,8,6,1,5,7,3]=>0011001=>[3,1,3,1] [2,5,8,6,1,4,7,3]=>0011001=>[3,1,3,1] [8,3,5,7,2,4,6,1]=>1001001=>[1,3,3,1] [8,4,6,7,2,3,5,1]=>1001001=>[1,3,3,1] [4,6,8,7,1,3,5,2]=>0011001=>[3,1,3,1] [2,6,8,5,1,3,7,4]=>0011001=>[3,1,3,1] [2,6,8,4,1,3,7,5]=>0011001=>[3,1,3,1] [2,5,8,3,1,4,7,6]=>0011001=>[3,1,3,1] [5,6,8,7,1,3,4,2]=>0011001=>[3,1,3,1] [7,4,6,8,2,1,3,5]=>1001100=>[1,3,1,3] [2,3,5,4,1,8,6,7]=>0011010=>[3,1,2,2] [2,3,6,4,8,1,5,7]=>0010100=>[3,2,3] [1,8,4,6,3,5,2,7]=>0101010=>[2,2,2,2] [5,4,8,6,2,1,3,7]=>1011100=>[1,2,1,1,3] [2,3,6,8,1,5,4,7]=>0001010=>[4,2,2] [2,5,6,1,4,7,8,3]=>0010001=>[3,4,1] [2,5,6,1,4,7,3,8]=>0010010=>[3,3,2] [7,3,5,1,6,8,4,2]=>1010011=>[1,2,3,1,1] [2,7,6,1,8,5,4,3]=>0110111=>[2,1,2,1,1,1] [2,7,6,8,1,4,5,3]=>0101001=>[2,2,3,1] [1,8,7,6,3,2,5,4]=>0111101=>[2,1,1,1,2,1] [1,8,7,6,3,2,4,5]=>0111100=>[2,1,1,1,3] [5,7,8,6,2,3,4,1]=>0011001=>[3,1,3,1] [2,7,6,1,8,5,3,4]=>0110110=>[2,1,2,1,2] [6,3,5,1,7,2,4,8]=>1010100=>[1,2,2,3] [2,3,4,7,6,1,5,8]=>0001100=>[4,1,3] [7,3,5,8,4,1,2,6]=>1001100=>[1,3,1,3] [1,8,4,5,2,7,3,6]=>0101010=>[2,2,2,2] [1,8,4,5,2,7,6,3]=>0101011=>[2,2,2,1,1] [7,3,5,8,4,1,6,2]=>1001101=>[1,3,1,2,1] [2,7,6,4,8,5,1,3]=>0110110=>[2,1,2,1,2] [7,3,5,4,6,8,1,2]=>1010010=>[1,2,3,2] [6,3,5,4,7,1,8,2]=>1010101=>[1,2,2,2,1] [6,3,5,4,7,1,2,8]=>1010100=>[1,2,2,3] [3,4,1,5,6,8,7,2]=>0100011=>[2,4,1,1] [3,7,1,6,8,5,2,4]=>0100110=>[2,3,1,2] [2,3,1,8,6,4,7,5]=>0101101=>[2,2,1,2,1] [1,8,4,3,6,2,5,7]=>0110100=>[2,1,2,3] [2,3,1,8,6,4,5,7]=>0101100=>[2,2,1,3] [3,7,1,6,8,5,4,2]=>0100111=>[2,3,1,1,1] [6,3,5,4,7,2,1,8]=>1010110=>[1,2,2,1,2] [7,3,5,4,6,8,2,1]=>1010011=>[1,2,3,1,1] [2,7,6,4,8,5,3,1]=>0110111=>[2,1,2,1,1,1] [1,8,4,5,2,6,3,7]=>0101010=>[2,2,2,2] [6,4,8,5,3,1,2,7]=>1011100=>[1,2,1,1,3] [7,3,5,8,4,6,2,1]=>1001011=>[1,3,2,1,1] [2,3,4,6,5,8,1,7]=>0001010=>[4,2,2] [2,3,4,7,5,1,8,6]=>0001101=>[4,1,2,1] [2,3,4,7,5,1,6,8]=>0001100=>[4,1,3] [2,3,4,7,1,6,5,8]=>0001010=>[4,2,2] [2,3,4,7,1,6,8,5]=>0001001=>[4,3,1] [2,3,4,6,1,8,7,5]=>0001011=>[4,2,1,1] [6,3,5,8,4,2,7,1]=>1001101=>[1,3,1,2,1] [7,4,8,5,3,2,1,6]=>1011110=>[1,2,1,1,1,2] [1,8,4,5,2,3,6,7]=>0101000=>[2,2,4] [7,4,8,5,3,2,6,1]=>1011101=>[1,2,1,1,2,1] [6,3,5,8,4,2,1,7]=>1001110=>[1,3,1,1,2] [5,2,4,6,8,3,7,1]=>1000101=>[1,4,2,1] [1,5,7,4,6,3,2,8]=>0010110=>[3,2,1,2] [5,2,8,4,6,3,7,1]=>1010101=>[1,2,2,2,1] [3,8,5,4,6,7,2,1]=>0110011=>[2,1,3,1,1] [6,8,3,4,5,7,2,1]=>0100011=>[2,4,1,1] [2,5,7,4,6,3,8,1]=>0010101=>[3,2,2,1] [5,4,1,7,8,3,2,6]=>1100110=>[1,1,3,1,2] [5,4,2,7,8,3,6,1]=>1100101=>[1,1,3,2,1] [5,1,4,6,8,3,2,7]=>1000110=>[1,4,1,2] [5,1,8,4,6,3,2,7]=>1010110=>[1,2,2,1,2] [8,1,6,4,5,3,2,7]=>1010110=>[1,2,2,1,2] [8,1,3,5,4,6,2,7]=>1001010=>[1,3,2,2] [8,1,6,2,4,3,5,7]=>1010100=>[1,2,2,3] [8,7,1,2,4,3,5,6]=>1100100=>[1,1,3,3] [1,7,6,2,4,3,5,8]=>0110100=>[2,1,2,3] [8,7,3,2,4,6,5,1]=>1110011=>[1,1,1,3,1,1] [8,2,6,3,4,5,7,1]=>1010001=>[1,2,4,1] [1,7,6,3,4,5,2,8]=>0110010=>[2,1,3,2] [1,7,2,5,4,3,6,8]=>0101100=>[2,2,1,3] [8,7,2,4,5,3,6,1]=>1100101=>[1,1,3,2,1] [5,8,2,4,7,3,6,1]=>0100101=>[2,3,2,1] [6,8,3,2,4,7,5,1]=>0110011=>[2,1,3,1,1] [8,7,1,3,4,5,2,6]=>1100010=>[1,1,4,2] [8,1,6,3,4,5,2,7]=>1010010=>[1,2,3,2] [8,1,2,5,4,3,6,7]=>1001100=>[1,3,1,3] [3,4,8,7,5,2,6,1]=>0011101=>[3,1,1,2,1] [3,2,8,6,1,5,4,7]=>1011010=>[1,2,1,2,2] [8,6,1,2,4,3,5,7]=>1100100=>[1,1,3,3] [8,7,3,6,4,2,5,1]=>1101101=>[1,1,2,1,2,1] [3,8,7,2,5,4,6,1]=>0110101=>[2,1,2,2,1] [8,7,2,4,5,6,3,1]=>1100011=>[1,1,4,1,1] [5,3,6,2,4,8,7,1]=>1010011=>[1,2,3,1,1] [3,5,2,8,6,1,4,7]=>0101100=>[2,2,1,3] [3,7,2,5,1,4,8,6]=>0101001=>[2,2,3,1] [5,1,8,6,2,3,4,7]=>1011000=>[1,2,1,4] [2,5,4,1,8,6,3,7]=>0110110=>[2,1,2,1,2] [3,7,6,1,8,2,5,4]=>0110101=>[2,1,2,2,1] [7,6,3,1,8,2,4,5]=>1110100=>[1,1,1,2,3] [8,2,3,6,1,4,7,5]=>1001001=>[1,3,3,1] [1,8,2,6,3,4,7,5]=>0101001=>[2,2,3,1] [8,1,3,6,4,7,2,5]=>1001010=>[1,3,2,2] [7,1,3,6,4,8,2,5]=>1001010=>[1,3,2,2] [8,2,1,3,5,7,4,6]=>1100010=>[1,1,4,2] [8,2,6,3,1,4,7,5]=>1011001=>[1,2,1,3,1] [7,5,4,1,3,8,2,6]=>1110010=>[1,1,1,3,2] [2,7,5,8,3,4,1,6]=>0101010=>[2,2,2,2] [7,3,8,5,4,1,2,6]=>1011100=>[1,2,1,1,3] [7,2,3,6,1,4,8,5]=>1001001=>[1,3,3,1] [1,3,7,2,5,8,4,6]=>0010010=>[3,3,2] [1,7,2,3,5,8,4,6]=>0100010=>[2,4,2] [7,4,8,1,3,6,2,5]=>1010010=>[1,2,3,2] [8,1,2,3,5,7,4,6]=>1000010=>[1,5,2] [7,1,2,3,5,8,4,6]=>1000010=>[1,5,2] [8,6,1,4,7,3,2,5]=>1100110=>[1,1,3,1,2] [2,6,3,7,1,4,8,5]=>0101001=>[2,2,3,1] [2,6,3,8,1,4,7,5]=>0101001=>[2,2,3,1] [7,5,4,8,1,3,2,6]=>1101010=>[1,1,2,2,2] [8,5,4,7,1,3,2,6]=>1101010=>[1,1,2,2,2] [2,3,1,8,5,4,6,7]=>0101100=>[2,2,1,3] [8,6,5,1,3,4,2,7]=>1110010=>[1,1,1,3,2] [8,5,1,7,6,3,4,2]=>1101101=>[1,1,2,1,2,1] [3,4,7,6,1,8,5,2]=>0011011=>[3,1,2,1,1] [3,5,2,6,7,1,8,4]=>0100101=>[2,3,2,1] [3,2,8,4,7,5,1,6]=>1010110=>[1,2,2,1,2] [8,4,7,5,1,3,2,6]=>1011010=>[1,2,1,2,2] [3,8,1,6,5,2,7,4]=>0101101=>[2,2,1,2,1] [6,1,2,8,3,4,7,5]=>1001001=>[1,3,3,1] [6,8,3,1,7,2,4,5]=>0110100=>[2,1,2,3] [3,7,2,5,6,1,8,4]=>0100101=>[2,3,2,1] [6,8,4,2,5,1,7,3]=>0110101=>[2,1,2,2,1] [2,7,5,3,8,4,1,6]=>0110110=>[2,1,2,1,2] [8,3,1,4,7,2,6,5]=>1100101=>[1,1,3,2,1] [8,3,2,1,5,7,4,6]=>1110010=>[1,1,1,3,2] [2,8,3,6,4,7,1,5]=>0101010=>[2,2,2,2] [7,3,6,4,8,1,2,5]=>1010100=>[1,2,2,3] [8,3,6,4,7,1,2,5]=>1010100=>[1,2,2,3] [1,2,8,3,5,7,4,6]=>0010010=>[3,3,2] [1,8,3,2,5,7,4,6]=>0110010=>[2,1,3,2] [6,5,1,7,4,2,8,3]=>1101101=>[1,1,2,1,2,1] [7,3,6,4,8,2,1,5]=>1010110=>[1,2,2,1,2] [4,6,1,7,3,5,2,8]=>0101010=>[2,2,2,2] [5,6,1,7,3,4,2,8]=>0101010=>[2,2,2,2] [6,1,7,3,4,2,8,5]=>1010101=>[1,2,2,2,1] [7,3,8,1,6,5,2,4]=>1010110=>[1,2,2,1,2] [8,3,7,1,6,5,2,4]=>1010110=>[1,2,2,1,2] [5,1,7,4,2,8,6,3]=>1011011=>[1,2,1,2,1,1] [2,8,1,7,6,5,3,4]=>0101110=>[2,2,1,1,2] [4,2,8,6,5,1,7,3]=>1011101=>[1,2,1,1,2,1] [6,4,2,8,5,1,7,3]=>1101101=>[1,1,2,1,2,1] [8,6,4,7,1,5,2,3]=>1101010=>[1,1,2,2,2] [7,6,4,8,1,5,2,3]=>1101010=>[1,1,2,2,2] [5,1,6,4,2,3,8,7]=>1011001=>[1,2,1,3,1] [4,2,3,8,7,5,1,6]=>1001110=>[1,3,1,1,2] [3,8,7,1,6,5,2,4]=>0110110=>[2,1,2,1,2] [2,4,3,8,1,6,7,5]=>0101001=>[2,2,3,1] [2,4,3,7,1,6,8,5]=>0101001=>[2,2,3,1] [4,2,3,7,8,5,1,6]=>1000110=>[1,4,1,2] [5,1,6,4,2,3,7,8]=>1011000=>[1,2,1,4] [6,4,7,8,1,5,2,3]=>1001010=>[1,3,2,2] [8,7,4,6,1,5,2,3]=>1101010=>[1,1,2,2,2] [6,5,7,8,1,4,2,3]=>1001010=>[1,3,2,2] [4,7,8,6,1,5,2,3]=>0011010=>[3,1,2,2] [3,2,4,7,8,1,5,6]=>1000100=>[1,4,3] [3,2,4,8,7,1,5,6]=>1001100=>[1,3,1,3] [4,8,7,6,1,5,2,3]=>0111010=>[2,1,1,2,2] [5,8,7,6,1,4,2,3]=>0111010=>[2,1,1,2,2] [8,6,5,7,1,4,2,3]=>1101010=>[1,1,2,2,2] [5,1,6,7,4,2,3,8]=>1001100=>[1,3,1,3] [6,7,4,8,1,5,2,3]=>0101010=>[2,2,2,2] [8,4,7,6,1,5,2,3]=>1011010=>[1,2,1,2,2] [8,3,2,4,7,1,5,6]=>1100100=>[1,1,3,3] [7,3,2,4,8,1,5,6]=>1100100=>[1,1,3,3] [2,5,3,7,1,6,4,8]=>0101010=>[2,2,2,2] [8,4,6,7,1,5,2,3]=>1001010=>[1,3,2,2] [7,4,6,8,1,5,2,3]=>1001010=>[1,3,2,2] [5,1,6,8,4,2,3,7]=>1001100=>[1,3,1,3] [4,2,3,7,5,1,6,8]=>1001100=>[1,3,1,3] [3,7,5,8,1,6,2,4]=>0101010=>[2,2,2,2] [2,4,3,7,1,6,5,8]=>0101010=>[2,2,2,2] [2,4,7,1,5,8,6,3]=>0010011=>[3,3,1,1] [3,2,4,7,6,1,5,8]=>1001100=>[1,3,1,3] [4,7,6,8,1,5,2,3]=>0101010=>[2,2,2,2] [8,5,6,7,1,4,2,3]=>1001010=>[1,3,2,2] [8,6,7,5,1,4,2,3]=>1011010=>[1,2,1,2,2] [7,6,8,5,1,4,2,3]=>1011010=>[1,2,1,2,2] [6,8,7,5,1,4,2,3]=>0111010=>[2,1,1,2,2] [5,6,8,7,1,4,2,3]=>0011010=>[3,1,2,2] [4,6,8,7,1,5,2,3]=>0011010=>[3,1,2,2] [2,4,6,7,1,5,8,3]=>0001001=>[4,3,1] [3,2,4,6,1,5,7,8]=>1001000=>[1,3,4] [6,7,8,5,1,4,2,3]=>0011010=>[3,1,2,2] [7,8,6,5,1,4,2,3]=>0111010=>[2,1,1,2,2] [3,1,7,5,4,2,8,6]=>1011101=>[1,2,1,1,2,1] [2,1,8,5,4,6,3,7]=>1011010=>[1,2,1,2,2] [4,1,8,5,2,3,6,7]=>1011000=>[1,2,1,4] [5,4,1,3,6,7,2,8]=>1100010=>[1,1,4,2] [8,4,1,2,6,3,7,5]=>1100101=>[1,1,3,2,1] [8,2,7,1,5,3,4,6]=>1010100=>[1,2,2,3] [3,2,7,1,5,8,4,6]=>1010010=>[1,2,3,2] [6,3,7,1,5,4,2,8]=>1010110=>[1,2,2,1,2] [7,3,8,1,5,4,2,6]=>1010110=>[1,2,2,1,2] [7,1,5,3,8,4,2,6]=>1010110=>[1,2,2,1,2] [4,5,1,3,6,8,2,7]=>0100010=>[2,4,2] [3,6,8,1,5,4,2,7]=>0010110=>[3,2,1,2] [6,8,3,1,5,4,2,7]=>0110110=>[2,1,2,1,2] [7,6,3,1,5,4,2,8]=>1110110=>[1,1,1,2,1,2] [3,6,2,1,5,8,4,7]=>0110010=>[2,1,3,2] [8,6,2,1,5,3,4,7]=>1110100=>[1,1,1,2,3] [4,8,2,1,7,5,3,6]=>0110110=>[2,1,2,1,2] [2,3,8,1,5,7,4,6]=>0010010=>[3,3,2] [7,1,3,2,8,6,4,5]=>1010110=>[1,2,2,1,2] [7,1,6,2,8,3,4,5]=>1010100=>[1,2,2,3] [4,7,1,2,6,3,8,5]=>0100101=>[2,3,2,1] [2,7,8,1,5,3,4,6]=>0010100=>[3,2,3] [6,7,2,1,5,3,4,8]=>0110100=>[2,1,2,3] [4,7,2,1,8,5,3,6]=>0110110=>[2,1,2,1,2] [8,7,2,1,4,5,3,6]=>1110010=>[1,1,1,3,2] [8,7,5,6,1,4,3,2]=>1101011=>[1,1,2,2,1,1] [5,7,8,6,1,4,3,2]=>0011011=>[3,1,2,1,1] [2,7,4,1,6,5,3,8]=>0110110=>[2,1,2,1,2] [3,7,1,4,5,6,8,2]=>0100001=>[2,5,1] [7,1,6,4,5,8,3,2]=>1010011=>[1,2,3,1,1] [3,5,1,4,7,6,8,2]=>0100101=>[2,3,2,1] [2,6,4,1,7,5,3,8]=>0110110=>[2,1,2,1,2] [5,6,8,7,1,4,3,2]=>0011011=>[3,1,2,1,1] [6,8,5,7,1,4,3,2]=>0101011=>[2,2,2,1,1] [8,6,5,7,1,4,3,2]=>1101011=>[1,1,2,2,1,1] [8,5,7,6,1,4,3,2]=>1011011=>[1,2,1,2,1,1] [6,5,7,8,1,4,3,2]=>1001011=>[1,3,2,1,1] [7,2,3,1,5,6,4,8]=>1010010=>[1,2,3,2] [4,2,8,1,6,5,3,7]=>1010110=>[1,2,2,1,2] [6,2,4,1,8,5,3,7]=>1010110=>[1,2,2,1,2] [8,3,1,4,5,6,7,2]=>1100001=>[1,1,5,1] [5,3,1,4,8,6,7,2]=>1100101=>[1,1,3,2,1] [7,5,1,6,3,4,8,2]=>1101001=>[1,1,2,3,1] [7,1,5,8,4,3,6,2]=>1001101=>[1,3,1,2,1] [5,8,1,6,4,3,7,2]=>0101101=>[2,2,1,2,1] [5,3,1,8,4,6,7,2]=>1101001=>[1,1,2,3,1] [8,3,1,5,4,6,7,2]=>1101001=>[1,1,2,3,1] [8,2,6,1,4,5,3,7]=>1010010=>[1,2,3,2] [6,2,8,1,4,5,3,7]=>1010010=>[1,2,3,2] [7,2,6,1,5,3,4,8]=>1010100=>[1,2,2,3] [2,8,6,1,5,3,4,7]=>0110100=>[2,1,2,3] [4,2,1,5,6,3,8,7]=>1100101=>[1,1,3,2,1] [7,1,2,5,8,3,4,6]=>1000100=>[1,4,3] [7,1,4,5,6,8,3,2]=>1000011=>[1,5,1,1] [8,5,6,7,1,4,3,2]=>1001011=>[1,3,2,1,1] [7,6,8,5,1,4,3,2]=>1011011=>[1,2,1,2,1,1] [6,8,7,5,1,4,3,2]=>0111011=>[2,1,1,2,1,1] [2,6,7,1,4,5,3,8]=>0010010=>[3,3,2] [3,5,1,7,4,6,8,2]=>0101001=>[2,2,3,1] [7,1,5,6,4,8,3,2]=>1001011=>[1,3,2,1,1] [7,1,6,5,4,8,3,2]=>1011011=>[1,2,1,2,1,1] [2,7,6,1,4,5,3,8]=>0110010=>[2,1,3,2] [5,7,6,8,1,4,3,2]=>0101011=>[2,2,2,1,1] [7,8,6,5,1,4,3,2]=>0111011=>[2,1,1,2,1,1] [4,3,1,6,5,8,7,2]=>1101011=>[1,1,2,2,1,1] [5,3,1,2,4,8,7,6]=>1100011=>[1,1,4,1,1] [5,3,6,2,1,8,7,4]=>1011011=>[1,2,1,2,1,1] [5,3,7,2,1,4,6,8]=>1011000=>[1,2,1,4] [5,3,7,2,8,4,1,6]=>1010110=>[1,2,2,1,2] [7,2,4,5,8,3,1,6]=>1000110=>[1,4,1,2] [7,2,4,5,1,3,6,8]=>1001000=>[1,3,4] [6,2,4,5,1,8,7,3]=>1001011=>[1,3,2,1,1] [3,1,4,5,2,8,7,6]=>1001011=>[1,3,2,1,1] [1,6,4,5,2,8,7,3]=>0101011=>[2,2,2,1,1] [3,7,4,5,1,2,6,8]=>0101000=>[2,2,4] [3,7,4,5,8,2,1,6]=>0100110=>[2,3,1,2] [1,7,4,2,6,3,5,8]=>0110100=>[2,1,2,3] [8,7,4,5,2,1,6,3]=>1101101=>[1,1,2,1,2,1] [6,3,7,1,8,4,2,5]=>1010110=>[1,2,2,1,2] [5,7,4,1,6,3,2,8]=>0110110=>[2,1,2,1,2] [1,7,4,8,6,3,2,5]=>0101110=>[2,2,1,1,2] [5,7,4,8,6,3,1,2]=>0101110=>[2,2,1,1,2] [4,8,3,5,6,7,1,2]=>0100010=>[2,4,2] [1,8,3,5,6,7,2,4]=>0100010=>[2,4,2] [4,8,1,5,6,7,2,3]=>0100010=>[2,4,2] [4,1,3,5,6,7,2,8]=>1000010=>[1,5,2] [5,8,4,3,6,1,2,7]=>0110100=>[2,1,2,3] [5,3,8,4,1,7,2,6]=>1011010=>[1,2,1,2,2] [1,5,8,4,6,7,3,2]=>0010011=>[3,3,1,1] [1,4,8,3,6,7,5,2]=>0010011=>[3,3,1,1] [4,3,8,2,1,7,5,6]=>1011010=>[1,2,1,2,2] [3,8,4,2,6,1,5,7]=>0110100=>[2,1,2,3] [1,8,2,5,6,7,4,3]=>0100011=>[2,4,1,1] [3,8,1,5,6,7,4,2]=>0100011=>[2,4,1,1] [3,8,2,5,6,7,1,4]=>0100010=>[2,4,2] [8,2,1,5,6,7,4,3]=>1100011=>[1,1,4,1,1] [8,1,3,5,6,7,4,2]=>1000011=>[1,5,1,1] [7,1,4,3,6,2,5,8]=>1010100=>[1,2,2,3] [7,8,4,3,6,2,1,5]=>0110110=>[2,1,2,1,2] [4,3,1,8,5,7,6,2]=>1101011=>[1,1,2,2,1,1] [4,3,1,6,8,7,5,2]=>1100111=>[1,1,3,1,1,1] [6,3,1,8,2,7,4,5]=>1101010=>[1,1,2,2,2] [6,3,5,8,2,7,1,4]=>1001010=>[1,3,2,2] [7,5,4,8,6,2,1,3]=>1101110=>[1,1,2,1,1,2] [7,1,4,8,6,2,3,5]=>1001100=>[1,3,1,3] [7,5,4,1,6,2,3,8]=>1110100=>[1,1,1,2,3] [7,6,4,5,8,1,3,2]=>1100101=>[1,1,3,2,1] [1,6,4,5,8,2,3,7]=>0100100=>[2,3,3] [7,3,6,1,8,2,4,5]=>1010100=>[1,2,2,3] [1,7,6,5,8,3,4,2]=>0110101=>[2,1,2,2,1] [1,8,5,3,6,7,4,2]=>0110011=>[2,1,3,1,1] [8,3,5,2,1,7,4,6]=>1011010=>[1,2,1,2,2] [8,4,1,5,6,7,3,2]=>1100011=>[1,1,4,1,1] [8,4,2,5,6,7,1,3]=>1100010=>[1,1,4,2] [4,1,8,5,6,7,3,2]=>1010011=>[1,2,3,1,1] [1,2,8,5,6,7,3,4]=>0010010=>[3,3,2] [4,2,1,5,6,7,3,8]=>1100010=>[1,1,4,2] [1,5,3,8,6,7,4,2]=>0101011=>[2,2,2,1,1] [1,4,5,8,6,7,3,2]=>0001011=>[4,2,1,1] [4,3,5,8,1,7,2,6]=>1001010=>[1,3,2,2] [3,5,4,8,6,1,2,7]=>0101100=>[2,2,1,3] [1,4,8,5,6,7,2,3]=>0010010=>[3,3,2] [3,4,8,5,6,7,1,2]=>0010010=>[3,3,2] [2,7,1,5,6,3,4,8]=>0100100=>[2,3,3] [2,7,1,4,3,6,5,8]=>0101010=>[2,2,2,2] [4,3,7,2,5,6,8,1]=>1010001=>[1,2,4,1] [2,6,3,1,4,5,8,7]=>0110001=>[2,1,4,1] [3,7,1,4,2,6,8,5]=>0101001=>[2,2,3,1] [3,7,1,5,6,2,8,4]=>0100101=>[2,3,2,1] [4,7,1,5,6,8,2,3]=>0100010=>[2,4,2] [8,5,2,6,7,3,1,4]=>1100110=>[1,1,3,1,2] [8,4,2,6,3,7,1,5]=>1101010=>[1,1,2,2,2] [8,4,2,3,5,7,1,6]=>1100010=>[1,1,4,2] [4,7,3,2,5,6,1,8]=>0110010=>[2,1,3,2] [5,3,4,6,2,8,1,7]=>1001010=>[1,3,2,2] [5,3,7,4,2,8,1,6]=>1011010=>[1,2,1,2,2] [6,4,7,2,3,8,1,5]=>1010010=>[1,2,3,2] [6,5,7,2,8,3,1,4]=>1010110=>[1,2,2,1,2] [5,3,7,2,4,8,6,1]=>1010011=>[1,2,3,1,1] [2,6,5,1,8,3,4,7]=>0110100=>[2,1,2,3] [8,7,6,1,4,5,2,3]=>1110010=>[1,1,1,3,2] [8,7,6,1,3,2,5,4]=>1110101=>[1,1,1,2,2,1] [8,7,2,4,3,1,6,5]=>1101101=>[1,1,2,1,2,1] [8,7,4,5,1,6,2,3]=>1101010=>[1,1,2,2,2] [8,5,6,4,1,7,2,3]=>1011010=>[1,2,1,2,2] [8,5,6,3,1,2,7,4]=>1011001=>[1,2,1,3,1] [8,4,6,2,3,1,7,5]=>1010101=>[1,2,2,2,1] [8,3,5,4,2,1,7,6]=>1011101=>[1,2,1,1,2,1] [5,7,3,4,2,1,8,6]=>0101101=>[2,2,1,2,1] [6,7,4,2,3,1,8,5]=>0110101=>[2,1,2,2,1] [6,7,5,3,1,2,8,4]=>0111001=>[2,1,1,3,1] [6,7,5,4,1,8,2,3]=>0111010=>[2,1,1,2,2] [10,3,1,2,4,5,6,7,8,9]=>110000000=>[1,1,8] [10,4,1,2,3,5,6,7,8,9]=>110000000=>[1,1,8] [5,10,1,2,3,4,6,7,8,9]=>010000000=>[2,8] [10,6,1,2,3,4,5,7,8,9]=>110000000=>[1,1,8] [10,7,1,2,3,4,5,6,8,9]=>110000000=>[1,1,8] [8,10,1,2,3,4,5,6,7,9]=>010000000=>[2,8] [2,11,1,3,4,5,6,7,8,9,10]=>0100000000=>[2,9] [2,3,10,1,4,5,6,7,8,9]=>001000000=>[3,7] [11,3,1,2,4,5,6,7,8,9,10]=>1100000000=>[1,1,9] [4,3,1,10,2,5,6,7,8,9]=>110100000=>[1,1,2,6] [11,4,1,2,3,5,6,7,8,9,10]=>1100000000=>[1,1,9] [5,4,1,2,10,3,6,7,8,9]=>110010000=>[1,1,3,5] [5,11,1,2,3,4,6,7,8,9,10]=>0100000000=>[2,9] [5,6,1,2,3,10,4,7,8,9]=>010001000=>[2,4,4] [11,6,1,2,3,4,5,7,8,9,10]=>1100000000=>[1,1,9] [7,6,1,2,3,4,10,5,8,9]=>110000100=>[1,1,5,3] [11,7,1,2,3,4,5,6,8,9,10]=>1100000000=>[1,1,9] [8,7,1,2,3,4,5,10,6,9]=>110000010=>[1,1,6,2] [8,11,1,2,3,4,5,6,7,9,10]=>0100000000=>[2,9] [8,9,1,2,3,4,5,6,10,7]=>010000001=>[2,7,1] [11,9,1,2,3,4,5,6,7,8,10]=>1100000000=>[1,1,9] [6,2,4,3,8,7,5,1]=>1010111=>[1,2,2,1,1,1] [7,3,5,4,1,8,6,2]=>1011011=>[1,2,1,2,1,1] [5,2,7,1,3,4,8,6]=>1010001=>[1,2,4,1] [2,6,5,7,3,1,4,8]=>0101100=>[2,2,1,3] [2,6,5,7,3,1,8,4]=>0101101=>[2,2,1,2,1] [6,3,1,4,7,8,5,2]=>1100011=>[1,1,4,1,1] [6,8,2,1,3,4,5,7]=>0110000=>[2,1,5] [3,7,1,8,4,5,2,6]=>0101010=>[2,2,2,2] [6,3,2,4,7,5,8,1]=>1100101=>[1,1,3,2,1] [6,3,2,4,7,5,1,8]=>1100110=>[1,1,3,1,2] [4,2,1,6,3,7,5,8]=>1101010=>[1,1,2,2,2] [4,2,1,6,3,7,8,5]=>1101001=>[1,1,2,3,1] [7,4,3,5,8,6,1,2]=>1100110=>[1,1,3,1,2] [2,7,6,8,3,1,4,5]=>0101100=>[2,2,1,3] [7,4,3,5,8,6,2,1]=>1100111=>[1,1,3,1,1,1] [4,2,1,7,3,8,6,5]=>1101011=>[1,1,2,2,1,1] [4,2,1,3,7,8,6,5]=>1100011=>[1,1,4,1,1] [5,8,1,7,4,3,6,2]=>0101101=>[2,2,1,2,1] [5,8,1,7,4,3,2,6]=>0101110=>[2,2,1,1,2] [3,7,8,6,2,1,4,5]=>0011100=>[3,1,1,3] [4,2,1,8,3,5,6,7]=>1101000=>[1,1,2,4] [4,2,1,3,6,7,5,8]=>1100010=>[1,1,4,2] [4,2,1,3,7,5,6,8]=>1100100=>[1,1,3,3] [4,2,1,3,6,8,7,5]=>1100011=>[1,1,4,1,1] [7,3,2,4,8,6,5,1]=>1100111=>[1,1,3,1,1,1] [4,2,1,6,3,8,7,5]=>1101011=>[1,1,2,2,1,1] [4,2,1,7,3,5,6,8]=>1101000=>[1,1,2,4] [3,6,7,5,2,1,4,8]=>0011100=>[3,1,1,3] [3,6,7,5,2,1,8,4]=>0011101=>[3,1,1,2,1] [7,3,4,2,6,8,5,1]=>1010011=>[1,2,3,1,1] [4,8,6,2,7,3,5,1]=>0110101=>[2,1,2,2,1] [7,3,4,2,6,8,1,5]=>1010010=>[1,2,3,2] [3,6,7,5,2,4,8,1]=>0011001=>[3,1,3,1] [3,6,7,5,2,4,1,8]=>0011010=>[3,1,2,2] [4,2,1,7,3,6,5,8]=>1101010=>[1,1,2,2,2] [4,2,1,7,3,6,8,5]=>1101001=>[1,1,2,3,1] [3,7,6,8,4,2,5,1]=>0101101=>[2,2,1,2,1] [5,8,1,7,4,2,6,3]=>0101101=>[2,2,1,2,1] [3,7,8,6,2,4,5,1]=>0011001=>[3,1,3,1] [4,2,1,3,8,6,7,5]=>1100101=>[1,1,3,2,1] [4,2,1,3,7,6,5,8]=>1100110=>[1,1,3,1,2] [4,2,1,3,5,7,6,8]=>1100010=>[1,1,4,2] [4,2,1,3,5,8,6,7]=>1100010=>[1,1,4,2] [4,8,1,7,3,6,5,2]=>0101011=>[2,2,2,1,1] [4,7,8,6,3,5,2,1]=>0011011=>[3,1,2,1,1] [4,2,1,8,3,7,6,5]=>1101011=>[1,1,2,2,1,1] [4,2,1,3,5,6,8,7]=>1100001=>[1,1,5,1] [7,8,2,4,1,3,6,5]=>0101001=>[2,2,3,1] [2,6,1,5,4,7,8,3]=>0101001=>[2,2,3,1] [4,6,3,5,8,7,1,2]=>0100110=>[2,3,1,2] [3,5,6,1,4,8,7,2]=>0010011=>[3,3,1,1] [2,3,6,8,4,1,5,7]=>0001100=>[4,1,3] [2,7,5,1,8,3,4,6]=>0110100=>[2,1,2,3] [4,7,5,2,1,3,6,8]=>0111000=>[2,1,1,4] [3,5,6,2,4,1,7,8]=>0010100=>[3,2,3] [2,5,6,1,4,8,3,7]=>0010010=>[3,3,2] [6,7,8,4,1,5,3,2]=>0011011=>[3,1,2,1,1] [7,1,6,8,4,5,3,2]=>1001011=>[1,3,2,1,1] [7,4,6,5,2,8,1,3]=>1011010=>[1,2,1,2,2] [7,1,5,6,4,2,3,8]=>1001100=>[1,3,1,3] [5,7,4,6,8,1,3,2]=>0100101=>[2,3,2,1] [5,7,8,1,4,6,3,2]=>0010011=>[3,3,1,1] [8,1,5,7,4,6,3,2]=>1001011=>[1,3,2,1,1] [1,8,4,6,7,5,3,2]=>0100111=>[2,3,1,1,1] [6,1,8,4,7,5,3,2]=>1010111=>[1,2,2,1,1,1] [4,5,8,6,1,7,3,2]=>0011011=>[3,1,2,1,1] [4,8,5,1,6,7,3,2]=>0110011=>[2,1,3,1,1] [8,1,4,5,6,7,3,2]=>1000011=>[1,5,1,1] [5,6,7,1,4,2,3,8]=>0010100=>[3,2,3] [8,4,2,6,1,5,7,3]=>1101001=>[1,1,2,3,1] [4,8,5,2,1,6,7,3]=>0111001=>[2,1,1,3,1] [5,1,8,4,2,6,3,7]=>1011010=>[1,2,1,2,2] [1,8,4,6,2,5,3,7]=>0101010=>[2,2,2,2] [6,1,5,2,3,4,7,8]=>1010000=>[1,2,5] [8,3,1,4,6,2,5,7]=>1100100=>[1,1,3,3] [3,1,8,2,5,6,4,7]=>1010010=>[1,2,3,2] [3,5,1,8,2,6,4,7]=>0101010=>[2,2,2,2] [3,5,1,2,8,4,7,6]=>0100101=>[2,3,2,1] [2,3,5,8,6,1,7,4]=>0001101=>[4,1,2,1] [8,2,4,3,6,7,1,5]=>1010010=>[1,2,3,2] [3,2,8,5,7,1,6,4]=>1010101=>[1,2,2,2,1] [3,6,2,8,5,1,7,4]=>0101101=>[2,2,1,2,1] [6,2,1,8,4,7,5,3]=>1101011=>[1,1,2,2,1,1] [2,8,7,1,4,6,5,3]=>0110011=>[2,1,3,1,1] [8,2,7,1,5,4,6,3]=>1010101=>[1,2,2,2,1] [7,2,5,3,6,8,1,4]=>1010010=>[1,2,3,2] [7,3,1,5,6,2,4,8]=>1100100=>[1,1,3,3] [3,7,5,1,6,2,4,8]=>0110100=>[2,1,2,3] [2,7,3,6,5,8,1,4]=>0101010=>[2,2,2,2] [8,7,2,4,1,6,5,3]=>1101011=>[1,1,2,2,1,1] [1,8,7,2,3,6,5,4]=>0110011=>[2,1,3,1,1] [1,7,8,2,6,4,3,5]=>0010110=>[3,2,1,2] [1,7,3,8,2,6,4,5]=>0101010=>[2,2,2,2] [1,2,7,3,6,4,5,8]=>0010100=>[3,2,3] [7,1,5,8,3,2,4,6]=>1001100=>[1,3,1,3] [1,6,2,8,4,3,7,5]=>0101101=>[2,2,1,2,1] [1,3,8,7,2,4,6,5]=>0011001=>[3,1,3,1] [1,8,3,7,2,5,4,6]=>0101010=>[2,2,2,2] [8,1,4,7,3,2,5,6]=>1001100=>[1,3,1,3] [4,7,8,1,3,2,5,6]=>0010100=>[3,2,3] [7,1,4,2,3,5,6,8]=>1010000=>[1,2,5] [8,2,1,4,7,3,5,6]=>1100100=>[1,1,3,3] [2,1,3,8,4,6,7,5]=>1001001=>[1,3,3,1] [1,2,3,4,8,5,7,6]=>0000101=>[5,2,1] [2,4,7,5,6,8,3,1]=>0010011=>[3,3,1,1] [2,4,8,7,5,6,3,1]=>0011011=>[3,1,2,1,1] [2,5,3,8,4,7,6,1]=>0101011=>[2,2,2,1,1] [2,8,5,7,3,6,4,1]=>0101011=>[2,2,2,1,1] [3,1,8,5,2,7,6,4]=>1011011=>[1,2,1,2,1,1] [2,8,6,3,4,5,7,1]=>0110001=>[2,1,4,1] [2,5,7,3,4,8,6,1]=>0010011=>[3,3,1,1] [8,3,7,6,1,4,5,2]=>1011001=>[1,2,1,3,1] [3,1,7,8,2,5,6,4]=>1001001=>[1,3,3,1] [7,3,8,5,1,6,4,2]=>1011011=>[1,2,1,2,1,1] [7,5,1,2,3,4,8,6]=>1100001=>[1,1,5,1] [4,8,1,5,2,7,3,6]=>0101010=>[2,2,2,2] [4,1,2,5,3,8,7,6]=>1001011=>[1,3,2,1,1] [4,3,6,8,7,5,1,2]=>1001110=>[1,3,1,1,2] [5,4,1,8,2,7,6,3]=>1101011=>[1,1,2,2,1,1] [6,4,8,1,2,5,3,7]=>1010010=>[1,2,3,2] [6,7,3,1,4,8,5,2]=>0110011=>[2,1,3,1,1] [5,4,1,6,8,2,7,3]=>1100101=>[1,1,3,2,1] [5,4,7,1,2,8,6,3]=>1010011=>[1,2,3,1,1] [6,7,4,1,2,8,3,5]=>0110010=>[2,1,3,2] [6,5,1,2,3,7,8,4]=>1100001=>[1,1,5,1] [6,5,1,2,3,4,8,7]=>1100001=>[1,1,5,1] [6,7,4,1,2,5,3,8]=>0110010=>[2,1,3,2] [2,4,6,3,5,7,1,8]=>0010010=>[3,3,2] [1,4,6,3,7,2,5,8]=>0010100=>[3,2,3] [8,6,2,5,3,1,7,4]=>1101101=>[1,1,2,1,2,1] [8,2,3,4,5,1,7,6]=>1000101=>[1,4,2,1] [1,8,3,4,2,7,5,6]=>0101010=>[2,2,2,2] [2,8,3,4,1,6,7,5]=>0101001=>[2,2,3,1] [8,7,2,3,1,6,5,4]=>1101011=>[1,1,2,2,1,1] [3,8,2,4,6,1,7,5]=>0100101=>[2,3,2,1] [7,8,2,4,3,1,6,5]=>0101101=>[2,2,1,2,1] [4,5,8,2,3,1,7,6]=>0010101=>[3,2,2,1] [5,1,4,3,7,2,6,8]=>1010100=>[1,2,2,3] [6,1,3,5,7,2,4,8]=>1000100=>[1,4,3] [2,1,4,7,5,3,6,8]=>1001100=>[1,3,1,3] [7,1,3,6,2,5,4,8]=>1001010=>[1,3,2,2] [8,1,3,6,2,4,7,5]=>1001001=>[1,3,3,1] [2,1,8,3,7,5,4,6]=>1010110=>[1,2,2,1,2] [7,1,8,2,5,6,3,4]=>1010010=>[1,2,3,2] [6,1,5,8,2,7,3,4]=>1001010=>[1,3,2,2] [4,5,2,8,1,6,7,3]=>0101001=>[2,2,3,1] [6,2,5,8,1,4,7,3]=>1001001=>[1,3,3,1] [3,2,8,5,1,6,7,4]=>1011001=>[1,2,1,3,1] [8,2,7,1,4,6,5,3]=>1010011=>[1,2,3,1,1] [1,3,8,2,5,7,4,6]=>0010010=>[3,3,2] [2,8,7,1,6,4,5,3]=>0110101=>[2,1,2,2,1] [3,8,7,1,5,6,4,2]=>0110011=>[2,1,3,1,1] [3,4,8,5,6,1,7,2]=>0010101=>[3,2,2,1] [8,3,7,4,1,6,5,2]=>1011011=>[1,2,1,2,1,1] [1,4,8,6,2,7,3,5]=>0011010=>[3,1,2,2] [8,4,5,7,1,6,3,2]=>1001011=>[1,3,2,1,1] [3,5,6,8,4,1,7,2]=>0001101=>[4,1,2,1] [6,2,3,1,5,4,7,8]=>1010100=>[1,2,2,3] [7,2,3,1,4,6,5,8]=>1010010=>[1,2,3,2] [8,2,3,1,4,5,7,6]=>1010001=>[1,2,4,1] [8,5,1,3,2,4,7,6]=>1101001=>[1,1,2,3,1] [7,5,1,3,2,6,4,8]=>1101010=>[1,1,2,2,2] [2,6,1,4,5,3,7,8]=>0100100=>[2,3,3] [3,6,4,1,5,2,7,8]=>0110100=>[2,1,2,3] [4,5,6,1,3,2,7,8]=>0010100=>[3,2,3] [4,5,7,1,2,6,3,8]=>0010010=>[3,3,2] [3,7,4,1,2,6,5,8]=>0110010=>[2,1,3,2] [6,7,1,4,2,5,3,8]=>0101010=>[2,2,2,2] [2,7,1,3,5,6,4,8]=>0100010=>[2,4,2] [8,6,1,2,4,3,7,5]=>1100101=>[1,1,3,2,1] [2,8,1,3,4,6,7,5]=>0100001=>[2,5,1] [7,8,1,2,5,3,6,4]=>0100101=>[2,3,2,1] [3,8,4,1,2,5,7,6]=>0110001=>[2,1,4,1] [1,2,6,7,5,3,8,4]=>0001101=>[4,1,2,1] [1,7,5,3,2,8,4,6]=>0111010=>[2,1,1,2,2] [1,6,7,5,3,8,4,2]=>0011011=>[3,1,2,1,1] [1,6,5,7,2,3,8,4]=>0101001=>[2,2,3,1] [1,3,8,2,6,5,7,4]=>0010101=>[3,2,2,1] [1,2,5,7,6,3,4,8]=>0001100=>[4,1,3] [1,3,4,8,2,5,7,6]=>0001001=>[4,3,1] [1,5,7,6,2,3,4,8]=>0011000=>[3,1,4] [1,5,3,8,2,6,4,7]=>0101010=>[2,2,2,2] [1,4,8,3,2,5,7,6]=>0011001=>[3,1,3,1] [1,4,8,3,5,7,6,2]=>0010011=>[3,3,1,1] [1,2,4,8,3,5,7,6]=>0001001=>[4,3,1] [1,3,8,4,2,6,7,5]=>0011001=>[3,1,3,1] [1,4,8,2,3,5,7,6]=>0010001=>[3,4,1] [6,5,7,3,8,2,4,1]=>1010101=>[1,2,2,2,1] [4,2,6,7,5,8,3,1]=>1001011=>[1,3,2,1,1] [6,7,5,2,1,8,4,3]=>0111011=>[2,1,1,2,1,1] [3,4,8,7,5,2,1,6]=>0011110=>[3,1,1,1,2] [1,7,5,2,8,4,6,3]=>0110101=>[2,1,2,2,1] [5,6,8,3,1,7,2,4]=>0011010=>[3,1,2,2] [6,1,4,8,3,2,7,5]=>1001101=>[1,3,1,2,1] [3,4,7,1,8,6,2,5]=>0010110=>[3,2,1,2] [3,4,6,8,2,1,5,7]=>0001100=>[4,1,3] [3,8,2,5,6,1,4,7]=>0100100=>[2,3,3] [3,5,2,8,6,4,1,7]=>0101110=>[2,2,1,1,2] [4,2,5,7,3,8,6,1]=>1001011=>[1,3,2,1,1] [7,4,2,5,3,8,1,6]=>1101010=>[1,1,2,2,2] [3,1,2,8,5,6,4,7]=>1001010=>[1,3,2,2] [5,2,1,6,8,3,4,7]=>1100100=>[1,1,3,3] [5,2,6,8,4,1,3,7]=>1001100=>[1,3,1,3] [1,5,6,8,3,4,2,7]=>0001010=>[4,2,2] [4,5,8,1,6,3,2,7]=>0010110=>[3,2,1,2] [4,5,1,6,8,3,2,7]=>0100110=>[2,3,1,2] [4,5,7,3,8,2,6,1]=>0010101=>[3,2,2,1] [6,4,3,7,8,2,5,1]=>1100101=>[1,1,3,2,1] [6,4,3,1,7,8,2,5]=>1110010=>[1,1,1,3,2] [4,5,3,1,7,8,2,6]=>0110010=>[2,1,3,2] [7,1,3,5,4,8,2,6]=>1001010=>[1,3,2,2] [7,5,2,8,1,4,3,6]=>1101010=>[1,1,2,2,2] [5,7,3,8,4,6,1,2]=>0101010=>[2,2,2,2] [1,4,5,7,3,8,6,2]=>0001011=>[4,2,1,1] [4,6,3,7,8,5,2,1]=>0100111=>[2,3,1,1,1] [5,3,6,7,8,4,2,1]=>1000111=>[1,4,1,1,1] [1,5,3,6,7,8,4,2]=>0100011=>[2,4,1,1] [4,6,1,7,3,8,5,2]=>0101011=>[2,2,2,1,1] [6,3,7,1,8,4,5,2]=>1010101=>[1,2,2,2,1] [6,7,2,4,8,1,5,3]=>0100101=>[2,3,2,1] [2,6,1,4,7,3,8,5]=>0100101=>[2,3,2,1] [3,2,5,6,7,8,1,4]=>1000010=>[1,5,2] [5,2,3,6,7,8,4,1]=>1000011=>[1,5,1,1] [6,7,1,3,2,8,4,5]=>0101010=>[2,2,2,2] [6,2,7,1,3,4,8,5]=>1010001=>[1,2,4,1] [5,2,1,7,3,8,4,6]=>1101010=>[1,1,2,2,2] [6,4,2,7,1,8,3,5]=>1101010=>[1,1,2,2,2] [4,2,6,3,7,8,1,5]=>1010010=>[1,2,3,2] [4,2,6,3,7,8,5,1]=>1010011=>[1,2,3,1,1] [6,7,3,8,2,4,5,1]=>0101001=>[2,2,3,1] [3,6,2,7,4,1,8,5]=>0101101=>[2,2,1,2,1] [6,7,3,2,1,4,8,5]=>0111001=>[2,1,1,3,1] [7,1,8,3,4,2,5,6]=>1010100=>[1,2,2,3] [7,2,4,1,8,3,5,6]=>1010100=>[1,2,2,3] [7,2,4,8,6,1,3,5]=>1001100=>[1,3,1,3] [7,3,4,8,6,2,1,5]=>1001110=>[1,3,1,1,2] [3,5,7,2,1,8,6,4]=>0011011=>[3,1,2,1,1] [6,7,8,3,2,5,1,4]=>0011010=>[3,1,2,2] [6,3,7,8,2,5,4,1]=>1001011=>[1,3,2,1,1] [2,6,7,4,8,5,3,1]=>0010111=>[3,2,1,1,1] [6,2,4,7,1,8,5,3]=>1001011=>[1,3,2,1,1] [4,6,2,7,1,8,5,3]=>0101011=>[2,2,2,1,1] [1,7,4,8,5,2,6,3]=>0101101=>[2,2,1,2,1] [1,3,7,8,5,2,6,4]=>0001101=>[4,1,2,1] [2,5,7,8,1,6,3,4]=>0001010=>[4,2,2] [6,3,7,1,8,2,5,4]=>1010101=>[1,2,2,2,1] [1,6,4,7,8,2,5,3]=>0100101=>[2,3,2,1] [2,5,6,1,7,8,4,3]=>0010011=>[3,3,1,1] [5,6,1,2,7,8,4,3]=>0100011=>[2,4,1,1] [6,7,2,1,8,5,3,4]=>0110110=>[2,1,2,1,2] [6,7,2,8,5,4,1,3]=>0101110=>[2,2,1,1,2] [1,6,7,4,8,5,3,2]=>0010111=>[3,2,1,1,1] [1,8,2,4,6,3,5,7]=>0100100=>[2,3,3] [1,5,7,4,3,6,2,8]=>0011010=>[3,1,2,2] [1,8,4,5,3,6,2,7]=>0101010=>[2,2,2,2] [1,8,5,3,4,7,2,6]=>0110010=>[2,1,3,2] [1,8,2,4,6,3,7,5]=>0100101=>[2,3,2,1] [1,8,2,5,4,6,7,3]=>0101001=>[2,2,3,1] [3,6,2,7,1,4,5,8]=>0101000=>[2,2,4] [1,4,7,5,2,6,8,3]=>0011001=>[3,1,3,1] [4,6,5,3,7,1,8,2]=>0110101=>[2,1,2,2,1] [4,2,3,8,6,7,1,5]=>1001010=>[1,3,2,2] [5,2,4,8,1,3,7,6]=>1001001=>[1,3,3,1] [6,2,5,4,8,3,7,1]=>1010101=>[1,2,2,2,1] [6,4,3,5,8,2,7,1]=>1100101=>[1,1,3,2,1] [5,2,3,4,8,1,6,7]=>1000100=>[1,4,3] [3,5,2,4,7,1,6,8]=>0100100=>[2,3,3] [5,3,4,8,1,6,2,7]=>1001010=>[1,3,2,2] [4,5,3,7,1,6,2,8]=>0101010=>[2,2,2,2] [6,2,4,8,5,1,3,7]=>1001100=>[1,3,1,3] [7,6,3,8,5,1,2,4]=>1101100=>[1,1,2,1,3] [4,2,6,7,3,8,1,5]=>1001010=>[1,3,2,2] [1,5,7,4,2,8,6,3]=>0011011=>[3,1,2,1,1] [1,3,7,2,8,6,4,5]=>0010110=>[3,2,1,2] [1,4,3,7,8,6,2,5]=>0100110=>[2,3,1,2] [1,5,3,6,8,2,7,4]=>0100101=>[2,3,2,1] [4,3,6,5,7,8,1,2]=>1010010=>[1,2,3,2] [4,2,3,5,6,8,1,7]=>1000010=>[1,5,2] [4,2,6,7,3,8,5,1]=>1001011=>[1,3,2,1,1] [3,2,5,6,8,1,7,4]=>1000101=>[1,4,2,1] [6,4,5,2,3,8,7,1]=>1010011=>[1,2,3,1,1] [8,4,6,7,5,2,3,1]=>1001101=>[1,3,1,2,1] [4,6,5,2,3,1,8,7]=>0110101=>[2,1,2,2,1] [6,4,2,5,3,1,8,7]=>1101101=>[1,1,2,1,2,1] [6,4,2,5,3,8,7,1]=>1101011=>[1,1,2,2,1,1] [8,6,4,7,5,2,3,1]=>1101101=>[1,1,2,1,2,1] [8,6,2,7,4,5,3,1]=>1101011=>[1,1,2,2,1,1] [6,4,2,5,8,7,3,1]=>1100111=>[1,1,3,1,1,1] [4,6,2,5,3,8,7,1]=>0101011=>[2,2,2,1,1] [4,6,5,2,3,8,7,1]=>0110011=>[2,1,3,1,1] [6,8,7,4,5,2,3,1]=>0110101=>[2,1,2,2,1] [4,8,6,7,5,2,3,1]=>0101101=>[2,2,1,2,1] [6,8,4,7,5,2,3,1]=>0101101=>[2,2,1,2,1] [6,8,2,7,4,5,3,1]=>0101011=>[2,2,2,1,1] [8,6,4,7,2,5,3,1]=>1101011=>[1,1,2,2,1,1] [8,6,2,4,7,5,3,1]=>1100111=>[1,1,3,1,1,1] [6,8,2,4,7,5,3,1]=>0100111=>[2,3,1,1,1] [4,8,2,6,7,5,3,1]=>0100111=>[2,3,1,1,1] [2,8,4,6,7,5,3,1]=>0100111=>[2,3,1,1,1] [2,8,6,7,4,5,3,1]=>0101011=>[2,2,2,1,1] [6,8,7,2,4,5,3,1]=>0110011=>[2,1,3,1,1] [2,6,4,5,8,7,3,1]=>0100111=>[2,3,1,1,1] [2,6,4,8,7,5,3,1]=>0101111=>[2,2,1,1,1,1] [4,6,2,8,7,5,3,1]=>0101111=>[2,2,1,1,1,1] [8,2,4,6,7,5,3,1]=>1000111=>[1,4,1,1,1] [6,2,4,8,7,5,3,1]=>1001111=>[1,3,1,1,1,1] [4,2,6,8,7,5,3,1]=>1001111=>[1,3,1,1,1,1] [4,2,6,5,8,7,3,1]=>1010111=>[1,2,2,1,1,1] [6,2,4,5,8,7,3,1]=>1000111=>[1,4,1,1,1] [8,2,6,7,4,5,3,1]=>1001011=>[1,3,2,1,1] [8,6,7,2,4,5,3,1]=>1010011=>[1,2,3,1,1] [6,4,5,2,8,7,3,1]=>1010111=>[1,2,2,1,1,1] [4,2,3,6,8,7,5,1]=>1000111=>[1,4,1,1,1] [6,4,5,8,7,2,3,1]=>1001101=>[1,3,1,2,1] [8,6,7,4,2,5,3,1]=>1011011=>[1,2,1,2,1,1] [8,4,6,7,2,5,3,1]=>1001011=>[1,3,2,1,1] [6,4,8,7,2,5,3,1]=>1011011=>[1,2,1,2,1,1] [6,2,8,7,4,5,3,1]=>1011011=>[1,2,1,2,1,1] [6,4,8,7,5,2,3,1]=>1011101=>[1,2,1,1,2,1] [4,6,8,7,5,2,3,1]=>0011101=>[3,1,1,2,1] [4,6,5,8,7,2,3,1]=>0101101=>[2,2,1,2,1] [2,1,6,8,7,4,5,3]=>1001101=>[1,3,1,2,1] [2,6,8,7,4,5,3,1]=>0011011=>[3,1,2,1,1] [2,4,8,6,7,5,3,1]=>0010111=>[3,2,1,1,1] [4,2,8,6,7,5,3,1]=>1010111=>[1,2,2,1,1,1] [6,2,8,4,7,5,3,1]=>1010111=>[1,2,2,1,1,1] [8,2,6,4,7,5,3,1]=>1010111=>[1,2,2,1,1,1] [6,4,8,2,7,5,3,1]=>1010111=>[1,2,2,1,1,1] [4,6,8,2,7,5,3,1]=>0010111=>[3,2,1,1,1] [2,6,8,4,7,5,3,1]=>0010111=>[3,2,1,1,1] [4,6,8,7,2,5,3,1]=>0011011=>[3,1,2,1,1] [4,6,5,8,2,7,3,1]=>0101011=>[2,2,2,1,1] [2,1,6,8,4,7,5,3]=>1001011=>[1,3,2,1,1] [2,1,8,6,4,7,5,3]=>1011011=>[1,2,1,2,1,1] [6,8,7,4,2,5,3,1]=>0111011=>[2,1,1,2,1,1] [2,8,6,4,7,5,3,1]=>0110111=>[2,1,2,1,1,1] [4,8,6,2,7,5,3,1]=>0110111=>[2,1,2,1,1,1] [9,8,7,3,6,2,5,1,4]=>11101010=>[1,1,1,2,2,2] [9,8,7,6,3,5,1,2,4]=>11110100=>[1,1,1,1,2,3] [9,4,8,3,7,2,6,1,5]=>10101010=>[1,2,2,2,2] [9,8,4,7,3,6,1,2,5]=>11010100=>[1,1,2,2,3] [9,8,7,2,4,6,1,3,5]=>11100100=>[1,1,1,3,3] [9,8,7,4,6,1,2,3,5]=>11101000=>[1,1,1,2,4] [5,9,4,8,3,7,1,2,6]=>01010100=>[2,2,2,3] [9,5,8,2,4,7,1,3,6]=>10100100=>[1,2,3,3] [9,5,8,4,7,1,2,3,6]=>10101000=>[1,2,2,4] [9,8,3,5,7,1,2,4,6]=>11001000=>[1,1,3,4] [9,8,5,7,1,2,3,4,6]=>11010000=>[1,1,2,5] [6,9,3,5,8,1,2,4,7]=>01001000=>[2,3,4] [6,9,5,8,1,2,3,4,7]=>01010000=>[2,2,5] [9,2,4,6,8,1,3,5,7]=>10001000=>[1,4,4] [9,4,6,8,1,2,3,5,7]=>10010000=>[1,3,5] [9,6,8,1,2,3,4,5,7]=>10100000=>[1,2,6] [3,5,7,9,1,2,4,6,8]=>00010000=>[4,5] [5,7,9,1,2,3,4,6,8]=>00100000=>[3,6] [7,9,1,2,3,4,5,6,8]=>01000000=>[2,7] [10,9,8,7,6,5,2,4,1,3]=>111111010=>[1,1,1,1,1,1,2,2] [10,9,8,7,3,6,2,5,1,4]=>111101010=>[1,1,1,1,2,2,2] [10,9,8,7,6,3,5,1,2,4]=>111110100=>[1,1,1,1,1,2,3] [10,9,4,8,3,7,2,6,1,5]=>110101010=>[1,1,2,2,2,2] [10,9,8,4,7,3,6,1,2,5]=>111010100=>[1,1,1,2,2,3] [10,9,8,7,2,4,6,1,3,5]=>111100100=>[1,1,1,1,3,3] [10,9,8,7,4,6,1,2,3,5]=>111101000=>[1,1,1,1,2,4] [10,5,9,4,8,3,7,1,2,6]=>101010100=>[1,2,2,2,3] [10,9,5,8,2,4,7,1,3,6]=>110100100=>[1,1,2,3,3] [10,9,5,8,4,7,1,2,3,6]=>110101000=>[1,1,2,2,4] [10,9,8,3,5,7,1,2,4,6]=>111001000=>[1,1,1,3,4] [10,9,8,5,7,1,2,3,4,6]=>111010000=>[1,1,1,2,5] [6,10,5,9,2,4,8,1,3,7]=>010100100=>[2,2,3,3] [6,10,5,9,4,8,1,2,3,7]=>010101000=>[2,2,2,4] [10,3,6,9,2,5,8,1,4,7]=>100100100=>[1,3,3,3] [10,6,9,3,5,8,1,2,4,7]=>101001000=>[1,2,3,4] [10,6,9,5,8,1,2,3,4,7]=>101010000=>[1,2,2,5] [10,9,2,4,6,8,1,3,5,7]=>110001000=>[1,1,4,4] [10,9,4,6,8,1,2,3,5,7]=>110010000=>[1,1,3,5] [10,9,6,8,1,2,3,4,5,7]=>110100000=>[1,1,2,6] [4,7,10,3,6,9,1,2,5,8]=>001001000=>[3,3,4] [7,10,2,4,6,9,1,3,5,8]=>010001000=>[2,4,4] [7,10,4,6,9,1,2,3,5,8]=>010010000=>[2,3,5] [7,10,6,9,1,2,3,4,5,8]=>010100000=>[2,2,6] [10,3,5,7,9,1,2,4,6,8]=>100010000=>[1,4,5] [10,5,7,9,1,2,3,4,6,8]=>100100000=>[1,3,6] [10,7,9,1,2,3,4,5,6,8]=>101000000=>[1,2,7] [4,6,8,10,1,2,3,5,7,9]=>000100000=>[4,6] [6,8,10,1,2,3,4,5,7,9]=>001000000=>[3,7] [4,2,5,6,3,8,1,7]=>1001010=>[1,3,2,2] [6,2,5,7,4,8,3,1]=>1001011=>[1,3,2,1,1] [8,5,2,1,4,7,6,3]=>1110011=>[1,1,1,3,1,1] [6,7,3,2,5,8,4,1]=>0110011=>[2,1,3,1,1] [3,2,6,4,8,1,5,7]=>1010100=>[1,2,2,3] [2,3,6,4,7,8,5,1]=>0010011=>[3,3,1,1] [7,5,1,8,3,4,6,2]=>1101001=>[1,1,2,3,1] [5,7,8,2,6,3,4,1]=>0010101=>[3,2,2,1] [7,1,6,3,5,8,4,2]=>1010011=>[1,2,3,1,1] [6,3,1,7,8,4,5,2]=>1100101=>[1,1,3,2,1] [5,3,6,7,4,1,8,2]=>1001101=>[1,3,1,2,1] [7,3,1,2,5,8,6,4]=>1100011=>[1,1,4,1,1] [1,6,3,5,2,4,8,7]=>0101001=>[2,2,3,1] [3,4,8,2,7,5,1,6]=>0010110=>[3,2,1,2] [6,3,2,8,5,7,4,1]=>1101011=>[1,1,2,2,1,1] [3,8,4,7,2,5,6,1]=>0101001=>[2,2,3,1] [2,4,8,1,5,3,7,6]=>0010101=>[3,2,2,1] [3,4,8,1,6,2,7,5]=>0010101=>[3,2,2,1] [1,8,4,6,7,3,5,2]=>0100101=>[2,3,2,1] [8,1,6,3,4,5,7,2]=>1010001=>[1,2,4,1] [7,6,5,4,1,2,8,3]=>1111001=>[1,1,1,1,3,1] [5,7,6,8,3,4,2,1]=>0101011=>[2,2,2,1,1] [2,8,1,6,5,7,4,3]=>0101011=>[2,2,2,1,1] [4,6,8,2,5,3,7,1]=>0010101=>[3,2,2,1] [5,2,3,7,6,1,8,4]=>1001101=>[1,3,1,2,1] [8,1,2,4,6,7,3,5]=>1000010=>[1,5,2] [5,2,3,7,4,8,6,1]=>1001011=>[1,3,2,1,1] [5,2,6,8,4,3,1,7]=>1001110=>[1,3,1,1,2] [7,8,1,5,4,3,6,2]=>0101101=>[2,2,1,2,1] [7,2,4,8,5,3,6,1]=>1001101=>[1,3,1,2,1] [3,7,5,1,8,4,6,2]=>0110101=>[2,1,2,2,1] [2,7,8,5,4,6,1,3]=>0011010=>[3,1,2,2] [5,7,4,3,8,6,2,1]=>0110111=>[2,1,2,1,1,1] [4,8,1,6,3,5,2,7]=>0101010=>[2,2,2,2] [8,3,1,7,4,2,5,6]=>1101100=>[1,1,2,1,3] [3,1,8,2,4,5,7,6]=>1010001=>[1,2,4,1] [8,1,3,7,6,2,4,5]=>1001100=>[1,3,1,3] [2,3,6,8,7,1,4,5]=>0001100=>[4,1,3] [4,3,2,8,5,7,1,6]=>1101010=>[1,1,2,2,2] [3,6,4,2,8,5,7,1]=>0110101=>[2,1,2,2,1] [4,7,3,2,5,1,8,6]=>0110101=>[2,1,2,2,1] [3,2,4,7,5,8,6,1]=>1001011=>[1,3,2,1,1] [4,2,3,8,6,5,1,7]=>1001110=>[1,3,1,1,2] [2,4,3,5,1,8,6,7]=>0101010=>[2,2,2,2] [3,2,8,1,4,6,5,7]=>1010010=>[1,2,3,2] [3,7,8,5,6,1,2,4]=>0010100=>[3,2,3] [3,6,1,8,4,7,2,5]=>0101010=>[2,2,2,2] [3,1,6,8,4,7,2,5]=>1001010=>[1,3,2,2] [4,1,6,8,3,2,7,5]=>1001101=>[1,3,1,2,1] [4,6,1,8,3,2,7,5]=>0101101=>[2,2,1,2,1] [4,7,8,1,3,2,6,5]=>0010101=>[3,2,2,1] [4,7,8,3,1,2,6,5]=>0011001=>[3,1,3,1] [2,7,8,3,4,6,5,1]=>0010011=>[3,3,1,1] [4,7,8,2,1,3,6,5]=>0011001=>[3,1,3,1] [4,6,1,8,2,3,7,5]=>0101001=>[2,2,3,1] [4,1,6,8,2,3,7,5]=>1001001=>[1,3,3,1] [4,5,1,2,8,3,7,6]=>0100101=>[2,3,2,1] [4,5,2,1,8,3,7,6]=>0110101=>[2,1,2,2,1] [4,6,2,8,1,3,7,5]=>0101001=>[2,2,3,1] [3,6,2,8,4,7,1,5]=>0101010=>[2,2,2,2] [2,3,6,8,4,7,5,1]=>0001011=>[4,2,1,1] [3,2,6,8,4,7,1,5]=>1001010=>[1,3,2,2] [4,2,6,8,3,1,7,5]=>1001101=>[1,3,1,2,1] [4,2,5,1,8,3,7,6]=>1010101=>[1,2,2,2,1] [4,1,2,5,8,3,7,6]=>1000101=>[1,4,2,1] [5,1,2,4,3,8,7,6]=>1001011=>[1,3,2,1,1] [5,2,4,1,3,8,7,6]=>1010011=>[1,2,3,1,1] [4,2,5,3,8,1,7,6]=>1010101=>[1,2,2,2,1] [3,2,5,4,8,7,1,6]=>1010110=>[1,2,2,1,2] [3,5,2,4,8,7,1,6]=>0100110=>[2,3,1,2] [5,4,2,1,3,8,7,6]=>1110011=>[1,1,1,3,1,1] [5,1,4,2,3,8,7,6]=>1010011=>[1,2,3,1,1] [5,4,1,3,2,8,7,6]=>1101011=>[1,1,2,2,1,1] [5,4,3,1,2,8,7,6]=>1110011=>[1,1,1,3,1,1] [4,5,3,1,8,2,7,6]=>0110101=>[2,1,2,2,1] [4,5,1,3,8,2,7,6]=>0100101=>[2,3,2,1] [3,1,5,4,8,7,2,6]=>1010110=>[1,2,2,1,2] [3,5,1,4,8,7,2,6]=>0100110=>[2,3,1,2] [3,5,4,1,8,7,2,6]=>0110110=>[2,1,2,1,2] [3,6,5,8,7,1,2,4]=>0101100=>[2,2,1,3] [2,5,6,8,7,3,4,1]=>0001101=>[4,1,2,1] [3,4,5,1,8,7,2,6]=>0010110=>[3,2,1,2] [3,4,1,5,8,7,2,6]=>0100110=>[2,3,1,2] [4,1,3,5,8,2,7,6]=>1000101=>[1,4,2,1] [4,3,6,8,2,1,7,5]=>1001101=>[1,3,1,2,1] [2,4,6,8,3,7,5,1]=>0001011=>[4,2,1,1] [3,4,5,2,8,7,1,6]=>0010110=>[3,2,1,2] [5,3,1,4,2,8,7,6]=>1101011=>[1,1,2,2,1,1] [5,1,3,4,2,8,7,6]=>1001011=>[1,3,2,1,1] [5,1,3,2,4,8,7,6]=>1010011=>[1,2,3,1,1] [5,3,2,1,4,8,7,6]=>1110011=>[1,1,1,3,1,1] [4,3,2,5,8,1,7,6]=>1100101=>[1,1,3,2,1] [3,4,2,5,8,7,1,6]=>0100110=>[2,3,1,2] [3,2,4,5,8,7,1,6]=>1000110=>[1,4,1,2] [4,2,3,5,8,1,7,6]=>1000101=>[1,4,2,1] [5,2,3,1,4,8,7,6]=>1010011=>[1,2,3,1,1] [5,2,1,3,4,8,7,6]=>1100011=>[1,1,4,1,1] [5,1,2,3,4,8,7,6]=>1000011=>[1,5,1,1] [8,6,2,5,4,1,3,7]=>1101100=>[1,1,2,1,3] [6,5,7,4,2,8,3,1]=>1011011=>[1,2,1,2,1,1] [6,7,5,3,8,2,4,1]=>0110101=>[2,1,2,2,1] [8,2,1,6,3,4,5,7]=>1101000=>[1,1,2,4] [8,3,5,6,2,4,1,7]=>1001010=>[1,3,2,2] [8,6,2,1,3,5,4,7]=>1110010=>[1,1,1,3,2] [8,1,2,3,4,6,5,7]=>1000010=>[1,5,2] [6,2,3,7,8,4,5,1]=>1000101=>[1,4,2,1] [7,5,8,2,6,3,4,1]=>1010101=>[1,2,2,2,1] [7,3,1,6,5,8,4,2]=>1101011=>[1,1,2,2,1,1] [1,5,6,7,3,4,8,2]=>0001001=>[4,3,1] [6,7,8,2,1,4,5,3]=>0011001=>[3,1,3,1] [8,4,7,6,2,1,3,5]=>1011100=>[1,2,1,1,3] [5,3,8,4,7,2,6,1]=>1010101=>[1,2,2,2,1] [8,1,3,7,6,4,2,5]=>1001110=>[1,3,1,1,2] [5,3,1,7,8,6,2,4]=>1100110=>[1,1,3,1,2] [3,5,8,2,7,1,6,4]=>0010101=>[3,2,2,1] [6,2,8,5,3,1,7,4]=>1011101=>[1,2,1,1,2,1] [8,2,6,4,7,1,3,5]=>1010100=>[1,2,2,3] [3,4,2,8,5,1,7,6]=>0101101=>[2,2,1,2,1] [3,8,6,5,2,1,7,4]=>0111101=>[2,1,1,1,2,1] [8,3,7,4,2,5,6,1]=>1011001=>[1,2,1,3,1] [4,8,5,7,2,1,3,6]=>0101100=>[2,2,1,3] [3,4,1,8,2,6,7,5]=>0101001=>[2,2,3,1] [8,4,6,3,7,1,5,2]=>1010101=>[1,2,2,2,1] [6,8,3,4,1,5,7,2]=>0101001=>[2,2,3,1] [5,1,7,6,2,8,4,3]=>1011011=>[1,2,1,2,1,1] [6,8,2,5,7,4,1,3]=>0100110=>[2,3,1,2] [2,8,5,6,7,1,3,4]=>0100100=>[2,3,3] [2,5,7,6,3,1,8,4]=>0011101=>[3,1,1,2,1] [4,2,8,3,1,5,6,7]=>1011000=>[1,2,1,4] [2,5,7,3,8,4,6,1]=>0010101=>[3,2,2,1] [4,2,7,1,8,5,3,6]=>1010110=>[1,2,2,1,2] [4,2,1,8,7,5,6,3]=>1101101=>[1,1,2,1,2,1] [8,3,6,7,1,5,4,2]=>1001011=>[1,3,2,1,1] [1,3,7,5,8,6,4,2]=>0010111=>[3,2,1,1,1] [5,7,8,4,3,1,6,2]=>0011101=>[3,1,1,2,1] [2,7,4,5,8,3,6,1]=>0100101=>[2,3,2,1] [3,5,7,1,4,8,6,2]=>0010011=>[3,3,1,1] [7,2,8,5,1,4,6,3]=>1011001=>[1,2,1,3,1] [1,6,5,3,8,4,2,7]=>0110110=>[2,1,2,1,2] [5,7,4,8,3,6,2,1]=>0101011=>[2,2,2,1,1] [4,8,6,1,3,5,2,7]=>0110010=>[2,1,3,2] [1,8,3,2,4,7,5,6]=>0110010=>[2,1,3,2] [8,4,3,2,5,7,1,6]=>1110010=>[1,1,1,3,2] [3,6,4,8,2,5,7,1]=>0101001=>[2,2,3,1] [4,3,7,2,5,8,1,6]=>1010010=>[1,2,3,2] [3,2,4,7,8,5,6,1]=>1000101=>[1,4,2,1] [2,6,4,3,8,5,1,7]=>0110110=>[2,1,2,1,2] [3,8,2,1,6,4,5,7]=>0110100=>[2,1,2,3] [8,2,1,3,4,5,7,6]=>1100001=>[1,1,5,1] [4,6,8,3,2,1,5,7]=>0011100=>[3,1,1,3] [3,2,6,8,5,4,1,7]=>1001110=>[1,3,1,1,2] [7,3,8,2,5,4,1,6]=>1010110=>[1,2,2,1,2] [4,2,5,3,8,7,6,1]=>1010111=>[1,2,2,1,1,1] [4,8,2,6,5,3,1,7]=>0101110=>[2,2,1,1,2] [2,6,8,5,4,1,3,7]=>0011100=>[3,1,1,3] [3,1,8,6,5,4,2,7]=>1011110=>[1,2,1,1,1,2] [5,4,8,7,3,2,6,1]=>1011101=>[1,2,1,1,2,1] [6,4,8,3,7,2,5,1]=>1010101=>[1,2,2,2,1] [4,7,3,6,2,1,8,5]=>0101101=>[2,2,1,2,1] [5,4,3,7,1,8,2,6]=>1101010=>[1,1,2,2,2] [7,3,8,5,1,4,2,6]=>1011010=>[1,2,1,2,2] [5,4,8,7,6,2,1,3]=>1011110=>[1,2,1,1,1,2] [3,8,1,5,7,4,6,2]=>0100101=>[2,3,2,1] [4,8,5,7,3,1,6,2]=>0101101=>[2,2,1,2,1] [1,5,4,8,3,7,6,2]=>0101011=>[2,2,2,1,1] [4,8,3,6,7,1,5,2]=>0100101=>[2,3,2,1] [4,7,8,3,1,6,5,2]=>0011011=>[3,1,2,1,1] [8,7,5,3,6,4,2,1]=>1110111=>[1,1,1,2,1,1,1] [4,6,1,3,8,7,5,2]=>0100111=>[2,3,1,1,1] [6,8,2,1,7,4,5,3]=>0110101=>[2,1,2,2,1] [3,7,1,6,4,2,8,5]=>0101101=>[2,2,1,2,1] [3,1,2,7,5,6,8,4]=>1001001=>[1,3,3,1] [3,6,1,2,7,5,8,4]=>0100101=>[2,3,2,1] [3,7,6,2,5,8,1,4]=>0110010=>[2,1,3,2] [3,6,2,5,8,7,4,1]=>0100111=>[2,3,1,1,1] [8,5,2,3,6,7,4,1]=>1100011=>[1,1,4,1,1] [4,7,2,6,3,8,1,5]=>0101010=>[2,2,2,2] [6,3,2,4,8,7,5,1]=>1100111=>[1,1,3,1,1,1] [3,7,2,4,6,1,8,5]=>0100101=>[2,3,2,1] [5,3,7,2,8,1,4,6]=>1010100=>[1,2,2,3] [6,3,2,8,7,5,1,4]=>1101110=>[1,1,2,1,1,2] [7,3,8,2,6,5,1,4]=>1010110=>[1,2,2,1,2] [6,4,8,7,2,5,1,3]=>1011010=>[1,2,1,2,2] [2,5,4,8,1,7,6,3]=>0101011=>[2,2,2,1,1] [5,2,8,1,7,6,3,4]=>1010110=>[1,2,2,1,2] [6,2,1,3,8,7,5,4]=>1100111=>[1,1,3,1,1,1] [3,6,1,8,7,5,2,4]=>0101110=>[2,2,1,1,2] [5,6,1,2,8,7,4,3]=>0100111=>[2,3,1,1,1] [7,5,2,8,1,6,4,3]=>1101011=>[1,1,2,2,1,1] [2,7,6,8,1,5,4,3]=>0101011=>[2,2,2,1,1] [7,8,5,1,6,2,4,3]=>0110101=>[2,1,2,2,1] [7,4,8,6,1,2,5,3]=>1011001=>[1,2,1,3,1] [7,2,1,8,3,6,5,4]=>1101011=>[1,1,2,2,1,1] [5,8,7,1,6,4,3,2]=>0110111=>[2,1,2,1,1,1] [7,6,5,4,3,2,9,8,1]=>11111011=>[1,1,1,1,1,2,1,1] [11,9,8,7,6,5,4,3,2,1,10]=>1111111110=>[1,1,1,1,1,1,1,1,1,2] [10,7,6,5,4,3,2,1,9,8]=>111111101=>[1,1,1,1,1,1,1,2,1] [9,6,5,4,3,2,8,1,7]=>11111010=>[1,1,1,1,1,2,2] [9,7,5,4,3,2,1,8,6]=>11111101=>[1,1,1,1,1,1,2,1] [8,5,4,3,7,2,1,6]=>1110110=>[1,1,1,2,1,2] [6,5,4,8,3,2,7,1]=>1101101=>[1,1,2,1,2,1] [7,6,5,4,3,9,2,8,1]=>11110101=>[1,1,1,1,2,2,1] [7,6,4,3,2,8,5,1]=>1111011=>[1,1,1,1,2,1,1] [8,6,5,4,3,2,9,7,1]=>11111011=>[1,1,1,1,1,2,1,1] [8,7,6,5,4,3,2,10,9,1]=>111111011=>[1,1,1,1,1,1,2,1,1] [10,9,8,7,6,5,4,3,2,11,1]=>1111111101=>[1,1,1,1,1,1,1,1,2,1] [7,3,1,4,8,2,5,6]=>1100100=>[1,1,3,3] [7,4,1,2,5,8,3,6]=>1100010=>[1,1,4,2] [6,7,4,2,5,1,3,8]=>0110100=>[2,1,2,3] [5,7,2,4,6,8,1,3]=>0100010=>[2,4,2] [4,7,5,1,6,2,8,3]=>0110101=>[2,1,2,2,1] [5,7,4,6,3,1,8,2]=>0101101=>[2,2,1,2,1] [7,5,1,4,3,2,8,6]=>1101101=>[1,1,2,1,2,1] [8,6,4,2,3,7,5,1]=>1110011=>[1,1,1,3,1,1] [6,4,7,1,3,8,5,2]=>1010011=>[1,2,3,1,1] [5,4,2,7,3,1,6,8]=>1101100=>[1,1,2,1,3] [4,5,1,2,7,6,8,3]=>0100101=>[2,3,2,1] [5,4,6,8,3,1,2,7]=>1001100=>[1,3,1,3] [6,4,8,1,3,7,2,5]=>1010010=>[1,2,3,2] [4,6,1,3,8,5,2,7]=>0100110=>[2,3,1,2] [1,3,8,4,5,7,2,6]=>0010010=>[3,3,2] [2,6,7,4,5,3,1,8]=>0010110=>[3,2,1,2] [2,6,8,4,3,5,1,7]=>0011010=>[3,1,2,2] [1,3,7,4,2,8,5,6]=>0011010=>[3,1,2,2] [4,6,1,3,7,2,5,8]=>0100100=>[2,3,3] [7,5,8,6,2,1,3,4]=>1011100=>[1,2,1,1,3] [2,8,1,3,6,5,4,7]=>0100110=>[2,3,1,2] [2,8,7,3,5,4,1,6]=>0110110=>[2,1,2,1,2] [3,4,2,6,8,7,1,5]=>0100110=>[2,3,1,2] [7,4,2,3,6,1,8,5]=>1100101=>[1,1,3,2,1] [8,4,2,3,6,5,7,1]=>1100101=>[1,1,3,2,1] [7,3,8,4,1,2,6,5]=>1011001=>[1,2,1,3,1] [6,8,3,2,7,1,5,4]=>0110101=>[2,1,2,2,1] [2,8,5,6,3,7,1,4]=>0101010=>[2,2,2,2] [7,4,2,5,8,1,6,3]=>1100101=>[1,1,3,2,1] [2,7,8,3,4,5,1,6]=>0010010=>[3,3,2] [3,7,1,2,4,6,5,8]=>0100010=>[2,4,2] [7,5,6,8,2,1,4,3]=>1001101=>[1,3,1,2,1] [3,1,6,5,2,7,4,8]=>1011010=>[1,2,1,2,2] [2,8,6,5,3,4,1,7]=>0111010=>[2,1,1,2,2] [1,7,2,3,5,6,8,4]=>0100001=>[2,5,1] [3,7,4,2,1,5,6,8]=>0111000=>[2,1,1,4] [3,4,6,2,8,5,7,1]=>0010101=>[3,2,2,1] [4,2,1,7,5,8,3,6]=>1101010=>[1,1,2,2,2] [4,7,2,6,5,1,3,8]=>0101100=>[2,2,1,3] [3,7,4,1,2,5,8,6]=>0110001=>[2,1,4,1] [4,7,1,6,5,2,8,3]=>0101101=>[2,2,1,2,1] [4,7,3,6,5,1,8,2]=>0101101=>[2,2,1,2,1] [4,3,7,1,6,8,5,2]=>1010011=>[1,2,3,1,1] [4,2,1,7,5,6,8,3]=>1101001=>[1,1,2,3,1] [3,2,4,8,6,7,1,5]=>1001010=>[1,3,2,2] [4,2,6,8,7,3,1,5]=>1001110=>[1,3,1,1,2] [3,4,6,1,8,5,2,7]=>0010110=>[3,2,1,2] [4,1,6,7,5,8,2,3]=>1001010=>[1,3,2,2] [4,3,6,7,5,1,2,8]=>1001100=>[1,3,1,3] [4,3,7,1,6,8,2,5]=>1010010=>[1,2,3,2] [4,3,7,5,6,8,2,1]=>1010011=>[1,2,3,1,1] [4,1,7,3,6,5,2,8]=>1010110=>[1,2,2,1,2] [2,8,7,4,5,3,1,6]=>0110110=>[2,1,2,1,2] [2,8,7,4,3,5,1,6]=>0111010=>[2,1,1,2,2] [3,8,1,4,2,6,5,7]=>0101010=>[2,2,2,2] [4,1,7,3,6,2,5,8]=>1010100=>[1,2,2,3] [5,8,7,6,1,2,4,3]=>0111001=>[2,1,1,3,1] [5,8,7,6,2,1,3,4]=>0111100=>[2,1,1,1,3] [4,1,7,2,6,8,5,3]=>1010011=>[1,2,3,1,1] [4,2,7,3,6,1,8,5]=>1010101=>[1,2,2,2,1] [4,2,7,3,6,5,8,1]=>1010101=>[1,2,2,2,1] [3,8,2,4,5,6,7,1]=>0100001=>[2,5,1] [3,8,2,4,1,6,7,5]=>0101001=>[2,2,3,1] [3,8,5,6,2,4,1,7]=>0101010=>[2,2,2,2] [2,8,6,5,3,7,1,4]=>0111010=>[2,1,1,2,2] [3,8,6,5,1,4,7,2]=>0111001=>[2,1,1,3,1] [3,8,2,1,4,6,7,5]=>0110001=>[2,1,4,1] [3,8,2,5,4,6,7,1]=>0101001=>[2,2,3,1] [4,2,7,5,6,3,8,1]=>1010101=>[1,2,2,2,1] [4,2,7,5,6,1,8,3]=>1010101=>[1,2,2,2,1] [4,2,6,7,5,3,1,8]=>1001110=>[1,3,1,1,2] [3,2,6,1,4,5,8,7]=>1010001=>[1,2,4,1] [2,8,7,3,4,5,1,6]=>0110010=>[2,1,3,2] [3,8,1,2,4,6,5,7]=>0100010=>[2,4,2] [5,8,7,6,1,3,4,2]=>0111001=>[2,1,1,3,1] [5,8,7,6,2,3,4,1]=>0111001=>[2,1,1,3,1] [4,1,7,5,6,2,3,8]=>1010100=>[1,2,2,3] [3,8,1,5,2,6,4,7]=>0101010=>[2,2,2,2] [2,8,7,5,3,4,1,6]=>0111010=>[2,1,1,2,2] [2,8,7,5,4,3,1,6]=>0111110=>[2,1,1,1,1,2] [4,1,7,5,6,3,2,8]=>1010110=>[1,2,2,1,2] [5,8,7,6,1,3,2,4]=>0111010=>[2,1,1,2,2] [5,8,7,6,4,1,2,3]=>0111100=>[2,1,1,1,3] [5,4,2,3,7,6,8,1]=>1100101=>[1,1,3,2,1] [7,4,3,5,2,8,1,6]=>1101010=>[1,1,2,2,2] [8,4,3,7,5,1,6,2]=>1101101=>[1,1,2,1,2,1] [8,4,7,2,5,1,6,3]=>1010101=>[1,2,2,2,1] [7,4,6,2,3,5,8,1]=>1010001=>[1,2,4,1] [5,1,7,2,4,6,8,3]=>1010001=>[1,2,4,1] [4,5,7,1,2,6,8,3]=>0010001=>[3,4,1] [5,4,1,7,3,6,8,2]=>1101001=>[1,1,2,3,1] [3,6,4,7,5,2,8,1]=>0101101=>[2,2,1,2,1] [3,4,7,6,2,5,8,1]=>0011001=>[3,1,3,1] [4,7,5,6,1,3,8,2]=>0101001=>[2,2,3,1] [5,7,6,4,3,1,8,2]=>0111101=>[2,1,1,1,2,1] [5,7,6,3,1,4,8,2]=>0111001=>[2,1,1,3,1] [7,5,2,3,4,8,1,6]=>1100010=>[1,1,4,2] [8,7,5,3,4,1,6,2]=>1110101=>[1,1,1,2,2,1] [6,7,1,3,8,4,2,5]=>0100110=>[2,3,1,2] [7,6,1,3,4,8,5,2]=>1100011=>[1,1,4,1,1] [3,6,5,2,7,8,1,4]=>0110010=>[2,1,3,2] [3,2,8,6,7,1,4,5]=>1010100=>[1,2,2,3] [4,8,3,6,5,2,1,7]=>0101110=>[2,2,1,1,2] [1,8,6,5,4,2,3,7]=>0111100=>[2,1,1,1,3] [1,8,7,2,3,5,4,6]=>0110010=>[2,1,3,2] [1,8,7,2,5,3,4,6]=>0110100=>[2,1,2,3] [3,6,8,5,1,2,4,7]=>0011000=>[3,1,4] [3,7,5,1,8,2,6,4]=>0110101=>[2,1,2,2,1] [7,1,2,8,3,5,6,4]=>1001001=>[1,3,3,1] [6,1,7,8,2,5,3,4]=>1001010=>[1,3,2,2] [6,7,5,2,8,1,4,3]=>0110101=>[2,1,2,2,1] [7,1,4,5,8,6,2,3]=>1000110=>[1,4,1,2] [5,7,6,4,2,8,1,3]=>0111010=>[2,1,1,2,2] [7,5,6,1,2,8,4,3]=>1010011=>[1,2,3,1,1] [4,1,3,7,8,6,2,5]=>1000110=>[1,4,1,2] [5,1,4,3,6,8,7,2]=>1010011=>[1,2,3,1,1] [4,5,7,6,8,2,1,3]=>0010110=>[3,2,1,2] [5,7,6,8,4,2,1,3]=>0101110=>[2,2,1,1,2] [5,1,6,8,4,2,7,3]=>1001101=>[1,3,1,2,1] [7,4,8,2,3,6,5,1]=>1010011=>[1,2,3,1,1] [5,6,8,4,7,3,2,1]=>0010111=>[3,2,1,1,1] [6,4,7,8,5,2,1,3]=>1001110=>[1,3,1,1,2] [3,6,4,8,5,1,2,7]=>0101100=>[2,2,1,3] [3,7,4,8,1,2,5,6]=>0101000=>[2,2,4] [7,4,3,8,2,6,5,1]=>1101011=>[1,1,2,2,1,1] [7,6,8,3,2,5,4,1]=>1011011=>[1,2,1,2,1,1] [8,7,1,3,5,4,6,2]=>1100101=>[1,1,3,2,1] [7,1,8,3,4,2,6,5]=>1010101=>[1,2,2,2,1] [7,6,8,3,1,4,5,2]=>1011001=>[1,2,1,3,1] [3,1,4,8,2,5,7,6]=>1001001=>[1,3,3,1] [4,8,5,2,1,3,6,7]=>0111000=>[2,1,1,4] [5,8,2,6,3,1,4,7]=>0101100=>[2,2,1,3] [6,8,2,3,7,4,1,5]=>0100110=>[2,3,1,2] [7,8,2,3,4,6,5,1]=>0100011=>[2,4,1,1] [8,1,7,2,4,5,3,6]=>1010010=>[1,2,3,2] [8,1,3,6,2,5,4,7]=>1001010=>[1,3,2,2] [7,2,1,6,3,5,4,8]=>1101010=>[1,1,2,2,2] [2,7,1,6,3,5,4,8]=>0101010=>[2,2,2,2] [2,7,1,5,4,3,6,8]=>0101100=>[2,2,1,3] [7,2,1,5,4,3,6,8]=>1101100=>[1,1,2,1,3] [8,1,3,5,4,2,6,7]=>1001100=>[1,3,1,3] [8,1,5,3,4,2,6,7]=>1010100=>[1,2,2,3] [8,1,5,6,2,3,7,4]=>1001001=>[1,3,3,1] [8,1,4,5,3,2,6,7]=>1001100=>[1,3,1,3] [8,1,4,3,5,2,6,7]=>1010100=>[1,2,2,3] [7,2,1,4,5,3,6,8]=>1100100=>[1,1,3,3] [2,7,1,4,5,3,6,8]=>0100100=>[2,3,3] [2,6,3,1,5,4,7,8]=>0110100=>[2,1,2,3] [6,3,2,1,5,4,7,8]=>1110100=>[1,1,1,2,3] [7,3,1,4,5,2,6,8]=>1100100=>[1,1,3,3] [7,3,1,5,4,2,6,8]=>1101100=>[1,1,2,1,3] [7,3,1,6,2,5,4,8]=>1101010=>[1,1,2,2,2] [3,7,1,6,2,5,4,8]=>0101010=>[2,2,2,2] [3,7,1,4,5,2,6,8]=>0100100=>[2,3,3] [3,6,2,1,5,4,7,8]=>0110100=>[2,1,2,3] [2,3,6,1,5,4,7,8]=>0010100=>[3,2,3] [3,5,2,4,1,6,7,8]=>0101000=>[2,2,4] [6,3,4,1,5,2,7,8]=>1010100=>[1,2,2,3] [6,2,4,1,5,3,7,8]=>1010100=>[1,2,2,3] [2,6,4,1,5,3,7,8]=>0110100=>[2,1,2,3] [2,6,5,1,3,7,4,8]=>0110010=>[2,1,3,2] [6,2,5,1,3,7,4,8]=>1010010=>[1,2,3,2] [6,5,2,1,3,7,4,8]=>1110010=>[1,1,1,3,2] [7,6,1,2,4,5,3,8]=>1100010=>[1,1,4,2] [6,7,1,2,8,3,5,4]=>0100101=>[2,3,2,1] [6,7,1,2,5,4,3,8]=>0100110=>[2,3,1,2] [5,6,2,1,3,7,4,8]=>0110010=>[2,1,3,2] [5,2,6,1,3,7,4,8]=>1010010=>[1,2,3,2] [2,4,6,1,5,3,7,8]=>0010100=>[3,2,3] [4,7,1,3,5,2,6,8]=>0100100=>[2,3,3] [4,7,1,5,3,2,6,8]=>0101100=>[2,2,1,3] [5,7,1,4,2,6,3,8]=>0101010=>[2,2,2,2] [5,7,1,6,2,3,8,4]=>0101001=>[2,2,3,1] [5,6,3,1,2,7,4,8]=>0110010=>[2,1,3,2] [4,2,5,3,1,6,7,8]=>1011000=>[1,2,1,4] [5,3,6,1,2,7,4,8]=>1010010=>[1,2,3,2] [3,4,6,1,5,2,7,8]=>0010100=>[3,2,3] [6,5,1,8,7,3,4,2]=>1101101=>[1,1,2,1,2,1] [8,2,7,5,4,1,3,6]=>1011100=>[1,2,1,1,3] [6,8,5,2,3,4,1,7]=>0110010=>[2,1,3,2] [2,6,8,7,1,5,3,4]=>0011010=>[3,1,2,2] [8,5,6,2,7,1,4,3]=>1010101=>[1,2,2,2,1] [6,5,1,2,7,8,4,3]=>1100011=>[1,1,4,1,1] [4,7,6,1,5,3,8,2]=>0110101=>[2,1,2,2,1] [5,7,6,4,1,3,8,2]=>0111001=>[2,1,1,3,1] [7,6,2,4,5,3,8,1]=>1100101=>[1,1,3,2,1] [6,1,7,5,3,8,4,2]=>1011011=>[1,2,1,2,1,1] [8,6,7,5,3,1,4,2]=>1011101=>[1,2,1,1,2,1] [8,5,2,7,1,6,4,3]=>1101011=>[1,1,2,2,1,1] [7,6,1,5,3,8,4,2]=>1101011=>[1,1,2,2,1,1] [5,6,2,4,7,8,1,3]=>0100010=>[2,4,2] [3,4,6,1,7,8,5,2]=>0010011=>[3,3,1,1] [3,4,8,6,7,1,5,2]=>0010101=>[3,2,2,1] [4,8,5,6,7,2,3,1]=>0100101=>[2,3,2,1] [5,8,6,4,1,2,7,3]=>0111001=>[2,1,1,3,1] [5,8,6,1,7,2,4,3]=>0110101=>[2,1,2,2,1] [5,8,7,3,2,6,4,1]=>0111011=>[2,1,1,2,1,1] [5,8,1,7,2,6,4,3]=>0101011=>[2,2,2,1,1] [8,1,5,7,2,6,4,3]=>1001011=>[1,3,2,1,1] [8,1,7,2,5,6,3,4]=>1010010=>[1,2,3,2] [6,8,7,2,5,1,3,4]=>0110100=>[2,1,2,3] [5,8,7,2,1,6,3,4]=>0111010=>[2,1,1,2,2] [4,8,1,5,2,6,7,3]=>0101001=>[2,2,3,1] [3,7,8,5,1,6,2,4]=>0011010=>[3,1,2,2] [6,5,2,7,8,1,4,3]=>1100101=>[1,1,3,2,1] [7,1,2,8,5,6,3,4]=>1001010=>[1,3,2,2] [8,7,2,1,5,6,3,4]=>1110010=>[1,1,1,3,2] [8,6,7,1,5,2,3,4]=>1010100=>[1,2,2,3] [6,1,7,8,5,2,3,4]=>1001100=>[1,3,1,3] [7,5,6,2,1,8,4,3]=>1011011=>[1,2,1,2,1,1] [8,7,5,2,1,6,4,3]=>1111011=>[1,1,1,1,2,1,1] [7,1,3,5,8,6,2,4]=>1000110=>[1,4,1,2] [5,1,3,4,6,8,7,2]=>1000011=>[1,5,1,1] [4,5,3,6,8,2,7,1]=>0100101=>[2,3,2,1] [5,6,3,4,8,1,7,2]=>0100101=>[2,3,2,1] [4,6,7,8,5,1,3,2]=>0001101=>[4,1,2,1] [8,4,3,1,2,6,7,5]=>1110001=>[1,1,1,4,1] [8,5,1,6,3,4,7,2]=>1101001=>[1,1,2,3,1] [5,1,8,6,3,4,7,2]=>1011001=>[1,2,1,3,1] [4,6,8,1,5,3,7,2]=>0010101=>[3,2,2,1] [6,4,5,8,3,2,7,1]=>1001101=>[1,3,1,2,1] [3,6,4,8,7,1,5,2]=>0101101=>[2,2,1,2,1] [6,5,8,1,3,4,7,2]=>1010001=>[1,2,4,1] [5,6,8,3,1,2,7,4]=>0011001=>[3,1,3,1] [6,1,8,3,5,2,7,4]=>1010101=>[1,2,2,2,1] [7,6,8,3,5,2,1,4]=>1010110=>[1,2,2,1,2] [8,6,1,3,5,2,7,4]=>1100101=>[1,1,3,2,1] [8,7,1,3,5,6,2,4]=>1100010=>[1,1,4,2] [6,7,8,3,5,1,2,4]=>0010100=>[3,2,3] [3,4,8,1,2,6,7,5]=>0010001=>[3,4,1] [5,8,2,4,3,6,7,1]=>0101001=>[2,2,3,1] [5,8,2,3,1,6,7,4]=>0101001=>[2,2,3,1] [6,8,2,3,5,1,7,4]=>0100101=>[2,3,2,1] [7,8,2,3,5,6,1,4]=>0100010=>[2,4,2] [8,6,5,1,4,3,7,2]=>1110101=>[1,1,1,2,2,1] [2,4,8,6,1,3,7,5]=>0011001=>[3,1,3,1] [6,7,1,8,4,3,5,2]=>0101101=>[2,2,1,2,1] [2,7,8,6,1,4,3,5]=>0011010=>[3,1,2,2] [2,7,3,8,1,6,4,5]=>0101010=>[2,2,2,2] [7,5,1,8,2,4,6,3]=>1101001=>[1,1,2,3,1] [2,7,8,4,1,6,3,5]=>0011010=>[3,1,2,2] [2,6,5,4,1,3,8,7]=>0111001=>[2,1,1,3,1] [4,1,7,6,3,8,2,5]=>1011010=>[1,2,1,2,2] [4,8,2,5,7,6,3,1]=>0100111=>[2,3,1,1,1] [3,4,6,5,1,8,2,7]=>0011010=>[3,1,2,2] [2,6,5,3,4,1,8,7]=>0110101=>[2,1,2,2,1] [4,6,1,5,2,3,8,7]=>0101001=>[2,2,3,1] [6,2,3,5,1,4,8,7]=>1001001=>[1,3,3,1] [2,6,7,5,1,8,4,3]=>0011011=>[3,1,2,1,1] [8,6,1,2,5,3,4,7]=>1100100=>[1,1,3,3] [6,2,5,1,8,3,4,7]=>1010100=>[1,2,2,3] [7,6,5,2,8,3,4,1]=>1110101=>[1,1,1,2,2,1] [2,6,3,5,1,8,7,4]=>0101011=>[2,2,2,1,1] [2,4,7,6,5,8,1,3]=>0011010=>[3,1,2,2] [2,1,4,8,7,6,3,5]=>1001110=>[1,3,1,1,2] [7,4,6,8,5,3,2,1]=>1001111=>[1,3,1,1,1,1] [8,1,3,5,7,4,6,2]=>1000101=>[1,4,2,1] [3,2,8,7,5,1,6,4]=>1011101=>[1,2,1,1,2,1] [4,8,5,1,6,7,2,3]=>0110010=>[2,1,3,2] [3,8,5,1,6,7,2,4]=>0110010=>[2,1,3,2] [7,8,6,1,3,5,2,4]=>0110010=>[2,1,3,2] [5,6,7,2,8,1,3,4]=>0010100=>[3,2,3] [2,5,1,8,6,7,4,3]=>0101011=>[2,2,2,1,1] [3,5,1,8,6,7,4,2]=>0101011=>[2,2,2,1,1] [5,2,3,8,6,7,4,1]=>1001011=>[1,3,2,1,1] [8,3,5,4,6,7,1,2]=>1010010=>[1,2,3,2] [5,1,3,8,6,7,4,2]=>1001011=>[1,3,2,1,1] [3,2,5,8,6,7,4,1]=>1001011=>[1,3,2,1,1] [6,2,1,5,3,8,7,4]=>1101011=>[1,1,2,2,1,1] [5,6,3,2,8,1,4,7]=>0110100=>[2,1,2,3] [8,1,6,3,5,2,7,4]=>1010101=>[1,2,2,2,1] [8,7,6,2,5,3,1,4]=>1110110=>[1,1,1,2,1,2] [4,7,6,8,3,2,5,1]=>0101101=>[2,2,1,2,1] [2,7,5,8,1,3,4,6]=>0101000=>[2,2,4] [7,6,2,8,5,1,4,3]=>1101101=>[1,1,2,1,2,1] [8,1,3,7,5,2,6,4]=>1001101=>[1,3,1,2,1] [3,4,8,7,5,1,6,2]=>0011101=>[3,1,1,2,1] [6,3,8,1,4,2,5,7]=>1010100=>[1,2,2,3] [6,3,8,5,7,4,1,2]=>1010110=>[1,2,2,1,2] [7,4,6,8,5,1,3,2]=>1001101=>[1,3,1,2,1] [2,1,4,8,7,5,6,3]=>1001101=>[1,3,1,2,1] [7,1,5,8,2,6,4,3]=>1001011=>[1,3,2,1,1] [3,6,8,2,4,1,7,5]=>0010101=>[3,2,2,1] [4,5,8,2,6,7,3,1]=>0010011=>[3,3,1,1] [5,2,8,1,6,7,3,4]=>1010010=>[1,2,3,2] [2,5,8,4,6,7,3,1]=>0010011=>[3,3,1,1] [5,8,3,4,6,7,2,1]=>0100011=>[2,4,1,1] [8,4,3,2,6,7,1,5]=>1110010=>[1,1,1,3,2] [4,2,8,1,6,7,3,5]=>1010010=>[1,2,3,2] [2,4,8,1,6,7,3,5]=>0010010=>[3,3,2] [5,1,8,2,6,7,3,4]=>1010010=>[1,2,3,2] [3,4,8,7,2,1,5,6]=>0011100=>[3,1,1,3] [7,8,5,3,6,4,2,1]=>0110111=>[2,1,2,1,1,1] [2,8,5,7,4,1,3,6]=>0101100=>[2,2,1,3] [5,8,4,1,6,7,2,3]=>0110010=>[2,1,3,2] [3,8,1,4,6,7,2,5]=>0100010=>[2,4,2] [8,2,3,4,6,7,1,5]=>1000010=>[1,5,2] [6,2,7,3,8,4,1,5]=>1010110=>[1,2,2,1,2] [7,4,3,2,8,5,1,6]=>1110110=>[1,1,1,2,1,2] [8,3,6,2,5,4,1,7]=>1010110=>[1,2,2,1,2] [5,4,8,3,2,6,1,7]=>1011010=>[1,2,1,2,2] [3,5,8,2,4,6,1,7]=>0010010=>[3,3,2] [6,4,7,8,2,3,1,5]=>1001010=>[1,3,2,2] [4,8,6,2,5,3,1,7]=>0110110=>[2,1,2,1,2] [1,6,4,3,2,8,7,5]=>0111011=>[2,1,1,2,1,1] [1,5,3,2,8,4,7,6]=>0110101=>[2,1,2,2,1] [5,7,4,3,1,2,6,8]=>0111000=>[2,1,1,4] [2,8,7,3,5,1,4,6]=>0110100=>[2,1,2,3] [6,1,2,7,3,8,5,4]=>1001011=>[1,3,2,1,1] [5,1,3,2,8,7,4,6]=>1010110=>[1,2,2,1,2] [1,8,3,7,2,6,5,4]=>0101011=>[2,2,2,1,1] [5,1,4,8,3,7,2,6]=>1001010=>[1,3,2,2] [2,1,6,8,5,4,7,3]=>1001101=>[1,3,1,2,1] [8,3,1,6,7,2,5,4]=>1100101=>[1,1,3,2,1] [3,7,6,1,5,2,4,8]=>0110100=>[2,1,2,3] [1,5,4,8,3,2,7,6]=>0101101=>[2,2,1,2,1] [7,3,6,1,2,5,4,8]=>1010010=>[1,2,3,2] [5,4,7,1,3,2,6,8]=>1010100=>[1,2,2,3] [5,7,2,3,8,1,4,6]=>0100100=>[2,3,3] [6,4,7,5,8,1,2,3]=>1010100=>[1,2,2,3] [7,4,8,5,1,6,3,2]=>1011011=>[1,2,1,2,1,1] [8,6,4,2,1,7,5,3]=>1111011=>[1,1,1,1,2,1,1] [7,4,2,1,5,8,6,3]=>1110011=>[1,1,1,3,1,1] [7,6,4,1,8,5,2,3]=>1110110=>[1,1,1,2,1,2] [1,6,4,8,7,5,3,2]=>0101111=>[2,2,1,1,1,1] [6,3,1,2,8,4,7,5]=>1100101=>[1,1,3,2,1] [6,8,4,1,2,7,5,3]=>0110011=>[2,1,3,1,1] [3,6,1,8,2,4,7,5]=>0101001=>[2,2,3,1] [1,3,8,7,6,2,5,4]=>0011101=>[3,1,1,2,1] [5,4,1,8,7,3,2,6]=>1101110=>[1,1,2,1,1,2] [3,5,1,8,7,2,4,6]=>0101100=>[2,2,1,3] [5,8,4,1,7,6,2,3]=>0110110=>[2,1,2,1,2] [8,6,1,7,5,4,3,2]=>1101111=>[1,1,2,1,1,1,1] [7,1,5,8,6,4,3,2]=>1001111=>[1,3,1,1,1,1] [4,1,8,7,6,2,5,3]=>1011101=>[1,2,1,1,2,1] [3,1,8,7,6,5,2,4]=>1011110=>[1,2,1,1,1,2] [1,6,4,5,2,3,7,8]=>0101000=>[2,2,4] [1,7,4,5,2,3,6,8]=>0101000=>[2,2,4] [1,7,3,5,2,4,6,8]=>0101000=>[2,2,4] [1,6,3,5,2,4,7,8]=>0101000=>[2,2,4] [1,6,3,4,2,5,7,8]=>0101000=>[2,2,4] [1,7,3,4,2,5,6,8]=>0101000=>[2,2,4] [1,8,6,7,3,4,2,5]=>0101010=>[2,2,2,2] [1,8,5,7,3,4,2,6]=>0101010=>[2,2,2,2] [1,7,3,4,2,6,5,8]=>0101010=>[2,2,2,2] [1,5,2,8,4,7,3,6]=>0101010=>[2,2,2,2] [1,4,2,8,5,7,3,6]=>0101010=>[2,2,2,2] [1,7,3,5,2,6,4,8]=>0101010=>[2,2,2,2] [1,8,4,7,3,5,2,6]=>0101010=>[2,2,2,2] [1,7,3,6,2,5,4,8]=>0101010=>[2,2,2,2] [1,7,3,6,2,4,5,8]=>0101000=>[2,2,4] [1,7,4,6,2,3,5,8]=>0101000=>[2,2,4] [1,8,5,6,2,3,4,7]=>0101000=>[2,2,4] [1,8,5,6,2,4,3,7]=>0101010=>[2,2,2,2] [1,3,2,8,5,6,4,7]=>0101010=>[2,2,2,2] [1,4,2,8,5,6,3,7]=>0101010=>[2,2,2,2] [1,5,2,8,4,6,3,7]=>0101010=>[2,2,2,2] [1,6,2,8,4,5,3,7]=>0101010=>[2,2,2,2] [9,1,2,3,5,4,6,7,8]=>10001000=>[1,4,4] [8,1,2,4,5,3,6,7]=>1000100=>[1,4,3] [2,3,4,6,5,7,8,9,1]=>00010001=>[4,4,1] [10,1,2,3,4,6,5,7,8,9]=>100001000=>[1,5,4] [9,1,2,3,5,6,4,7,8]=>10000100=>[1,5,3] [2,3,4,7,5,6,8,9,1]=>00010001=>[4,4,1] [2,3,4,6,7,5,8,9,1]=>00001001=>[5,3,1] [2,3,4,5,7,6,8,9,10,1]=>000010001=>[5,4,1] [9,10,5,6,7,8,3,4,1,2]=>010001010=>[2,4,2,2] [5,8,9,6,7,10,3,4,1,2]=>001001010=>[3,3,2,2] [9,10,7,8,3,4,5,6,1,2]=>010100010=>[2,2,4,2] [9,10,3,6,7,4,5,8,1,2]=>010010010=>[2,3,3,2] [3,8,9,6,7,4,5,10,1,2]=>001010010=>[3,2,3,2] [3,6,7,8,9,4,5,10,1,2]=>000010010=>[5,3,2] [9,10,3,4,5,6,7,8,1,2]=>010000010=>[2,6,2] [3,8,9,4,5,6,7,10,1,2]=>001000010=>[3,5,2] [3,4,7,8,5,6,9,10,1,2]=>000100010=>[4,4,2] [7,8,9,10,5,6,1,2,3,4]=>000101000=>[4,2,4] [5,8,9,6,7,10,1,2,3,4]=>001001000=>[3,3,4] [9,10,7,8,1,4,5,2,3,6]=>010100100=>[2,2,3,3] [7,8,9,10,1,4,5,2,3,6]=>000100100=>[4,3,3] [9,10,1,6,7,4,5,2,3,8]=>010010100=>[2,3,2,3] [1,8,9,6,7,4,5,2,3,10]=>001010100=>[3,2,2,3] [1,6,7,8,9,4,5,2,3,10]=>000010100=>[5,2,3] [9,10,1,4,5,6,7,2,3,8]=>010000100=>[2,5,3] [1,8,9,4,5,6,7,2,3,10]=>001000100=>[3,4,3] [1,4,7,8,5,6,9,2,3,10]=>000100100=>[4,3,3] [1,4,5,6,7,8,9,2,3,10]=>000000100=>[7,3] [9,10,1,6,7,2,3,4,5,8]=>010010000=>[2,3,5] [1,8,9,6,7,2,3,4,5,10]=>001010000=>[3,2,5] [1,6,7,8,9,2,3,4,5,10]=>000010000=>[5,5] [9,10,1,2,5,6,3,4,7,8]=>010001000=>[2,4,4] [1,8,9,2,5,6,3,4,7,10]=>001001000=>[3,3,4] [1,2,7,8,5,6,3,4,9,10]=>000101000=>[4,2,4] [1,2,5,6,7,8,3,4,9,10]=>000001000=>[6,4] [1,8,9,2,3,4,5,6,7,10]=>001000000=>[3,7] [1,2,7,8,3,4,5,6,9,10]=>000100000=>[4,6] [1,2,3,6,7,4,5,8,9,10]=>000010000=>[5,5] [9,10,11,12,7,8,5,6,3,4,1,2]=>00010101010=>[4,2,2,2,2] [11,12,7,8,9,10,5,6,3,4,1,2]=>01000101010=>[2,4,2,2,2] [7,10,11,8,9,12,5,6,3,4,1,2]=>00100101010=>[3,3,2,2,2] [11,12,9,10,5,6,7,8,3,4,1,2]=>01010001010=>[2,2,4,2,2] [9,10,11,12,5,6,7,8,3,4,1,2]=>00010001010=>[4,4,2,2] [11,12,5,8,9,6,7,10,3,4,1,2]=>01001001010=>[2,3,3,2,2] [5,10,11,8,9,6,7,12,3,4,1,2]=>00101001010=>[3,2,3,2,2] [5,10,11,6,7,8,9,12,3,4,1,2]=>00100001010=>[3,5,2,2] [5,6,9,10,7,8,11,12,3,4,1,2]=>00010001010=>[4,4,2,2] [11,12,9,10,7,8,3,4,5,6,1,2]=>01010100010=>[2,2,2,4,2] [9,10,11,12,7,8,3,4,5,6,1,2]=>00010100010=>[4,2,4,2] [11,12,7,8,9,10,3,4,5,6,1,2]=>01000100010=>[2,4,4,2] [7,10,11,8,9,12,3,4,5,6,1,2]=>00100100010=>[3,3,4,2] [7,8,9,10,11,12,3,4,5,6,1,2]=>00000100010=>[6,4,2] [11,12,9,10,3,6,7,4,5,8,1,2]=>01010010010=>[2,2,3,3,2] [9,10,11,12,3,6,7,4,5,8,1,2]=>00010010010=>[4,3,3,2] [11,12,3,8,9,6,7,4,5,10,1,2]=>01001010010=>[2,3,2,3,2] [3,10,11,8,9,6,7,4,5,12,1,2]=>00101010010=>[3,2,2,3,2] [11,12,3,6,7,8,9,4,5,10,1,2]=>01000010010=>[2,5,3,2] [3,10,11,6,7,8,9,4,5,12,1,2]=>00100010010=>[3,4,3,2] [3,6,9,10,7,8,11,4,5,12,1,2]=>00010010010=>[4,3,3,2] [9,10,11,12,3,4,5,6,7,8,1,2]=>00010000010=>[4,6,2] [11,12,3,8,9,4,5,6,7,10,1,2]=>01001000010=>[2,3,5,2] [3,10,11,8,9,4,5,6,7,12,1,2]=>00101000010=>[3,2,5,2] [3,8,9,10,11,4,5,6,7,12,1,2]=>00001000010=>[5,5,2] [11,12,3,4,7,8,5,6,9,10,1,2]=>01000100010=>[2,4,4,2] [3,10,11,4,7,8,5,6,9,12,1,2]=>00100100010=>[3,3,4,2] [3,4,9,10,7,8,5,6,11,12,1,2]=>00010100010=>[4,2,4,2] [3,4,7,8,9,10,5,6,11,12,1,2]=>00000100010=>[6,4,2] [11,12,3,4,5,6,7,8,9,10,1,2]=>01000000010=>[2,8,2] [3,4,9,10,5,6,7,8,11,12,1,2]=>00010000010=>[4,6,2] [3,4,5,8,9,6,7,10,11,12,1,2]=>00001000010=>[5,5,2] [3,4,5,6,7,8,9,10,11,12,1,2]=>00000000010=>[10,2] [11,12,9,10,7,8,5,6,1,2,3,4]=>01010101000=>[2,2,2,2,4] [9,10,11,12,7,8,5,6,1,2,3,4]=>00010101000=>[4,2,2,4] [11,12,7,8,9,10,5,6,1,2,3,4]=>01000101000=>[2,4,2,4] [7,10,11,8,9,12,5,6,1,2,3,4]=>00100101000=>[3,3,2,4] [11,12,9,10,5,6,7,8,1,2,3,4]=>01010001000=>[2,2,4,4] [9,10,11,12,5,6,7,8,1,2,3,4]=>00010001000=>[4,4,4] [11,12,5,8,9,6,7,10,1,2,3,4]=>01001001000=>[2,3,3,4] [5,10,11,8,9,6,7,12,1,2,3,4]=>00101001000=>[3,2,3,4] [5,8,9,10,11,6,7,12,1,2,3,4]=>00001001000=>[5,3,4] [11,12,5,6,7,8,9,10,1,2,3,4]=>01000001000=>[2,6,4] [5,10,11,6,7,8,9,12,1,2,3,4]=>00100001000=>[3,5,4] [5,6,9,10,7,8,11,12,1,2,3,4]=>00010001000=>[4,4,4] [5,6,7,8,9,10,11,12,1,2,3,4]=>00000001000=>[8,4] [11,12,9,10,7,8,1,4,5,2,3,6]=>01010100100=>[2,2,2,3,3] [9,10,11,12,7,8,1,4,5,2,3,6]=>00010100100=>[4,2,3,3] [11,12,7,8,9,10,1,4,5,2,3,6]=>01000100100=>[2,4,3,3] [7,10,11,8,9,12,1,4,5,2,3,6]=>00100100100=>[3,3,3,3] [11,12,9,10,1,6,7,4,5,2,3,8]=>01010010100=>[2,2,3,2,3] [9,10,11,12,1,6,7,4,5,2,3,8]=>00010010100=>[4,3,2,3] [11,12,1,8,9,6,7,4,5,2,3,10]=>01001010100=>[2,3,2,2,3] [1,10,11,8,9,6,7,4,5,2,3,12]=>00101010100=>[3,2,2,2,3] [11,12,1,6,7,8,9,4,5,2,3,10]=>01000010100=>[2,5,2,3] [1,10,11,6,7,8,9,4,5,2,3,12]=>00100010100=>[3,4,2,3] [1,6,9,10,7,8,11,4,5,2,3,12]=>00010010100=>[4,3,2,3] [11,12,9,10,1,4,5,6,7,2,3,8]=>01010000100=>[2,2,5,3] [9,10,11,12,1,4,5,6,7,2,3,8]=>00010000100=>[4,5,3] [11,12,1,8,9,4,5,6,7,2,3,10]=>01001000100=>[2,3,4,3] [1,10,11,8,9,4,5,6,7,2,3,12]=>00101000100=>[3,2,4,3] [1,8,9,10,11,4,5,6,7,2,3,12]=>00001000100=>[5,4,3] [11,12,1,4,7,8,5,6,9,2,3,10]=>01000100100=>[2,4,3,3] [1,10,11,4,7,8,5,6,9,2,3,12]=>00100100100=>[3,3,3,3] [1,4,9,10,7,8,5,6,11,2,3,12]=>00010100100=>[4,2,3,3] [1,10,11,4,5,6,7,8,9,2,3,12]=>00100000100=>[3,6,3] [1,4,9,10,5,6,7,8,11,2,3,12]=>00010000100=>[4,5,3] [1,4,5,8,9,6,7,10,11,2,3,12]=>00001000100=>[5,4,3] [11,12,7,8,9,10,1,2,3,4,5,6]=>01000100000=>[2,4,6] [9,10,11,12,1,6,7,2,3,4,5,8]=>00010010000=>[4,3,5] [1,8,9,10,11,6,7,2,3,4,5,12]=>00001010000=>[5,2,5] [11,12,1,6,7,8,9,2,3,4,5,10]=>01000010000=>[2,5,5] [1,10,11,6,7,8,9,2,3,4,5,12]=>00100010000=>[3,4,5] [1,6,9,10,7,8,11,2,3,4,5,12]=>00010010000=>[4,3,5] [11,12,9,10,1,2,5,6,3,4,7,8]=>01010001000=>[2,2,4,4] [9,10,11,12,1,2,5,6,3,4,7,8]=>00010001000=>[4,4,4] [11,12,1,8,9,2,5,6,3,4,7,10]=>01001001000=>[2,3,3,4] [1,10,11,8,9,2,5,6,3,4,7,12]=>00101001000=>[3,2,3,4] [1,8,9,10,11,2,5,6,3,4,7,12]=>00001001000=>[5,3,4] [11,12,1,2,7,8,5,6,3,4,9,10]=>01000101000=>[2,4,2,4] [1,10,11,2,7,8,5,6,3,4,9,12]=>00100101000=>[3,3,2,4] [1,2,9,10,7,8,5,6,3,4,11,12]=>00010101000=>[4,2,2,4] [11,12,1,2,5,6,7,8,3,4,9,10]=>01000001000=>[2,6,4] [1,10,11,2,5,6,7,8,3,4,9,12]=>00100001000=>[3,5,4] [1,2,9,10,5,6,7,8,3,4,11,12]=>00010001000=>[4,4,4] [1,2,5,8,9,6,7,10,3,4,11,12]=>00001001000=>[5,3,4] [1,2,5,6,7,8,9,10,3,4,11,12]=>00000001000=>[8,4] [9,10,11,12,1,2,3,4,5,6,7,8]=>00010000000=>[4,8] [11,12,1,2,7,8,3,4,5,6,9,10]=>01000100000=>[2,4,6] [1,2,7,8,9,10,3,4,5,6,11,12]=>00000100000=>[6,6] [11,12,1,2,3,6,7,4,5,8,9,10]=>01000010000=>[2,5,5] [1,10,11,2,3,6,7,4,5,8,9,12]=>00100010000=>[3,4,5] [1,2,9,10,3,6,7,4,5,8,11,12]=>00010010000=>[4,3,5] [1,2,3,8,9,6,7,4,5,10,11,12]=>00001010000=>[5,2,5] [11,12,1,2,3,4,5,6,7,8,9,10]=>01000000000=>[2,10] [1,2,9,10,3,4,5,6,7,8,11,12]=>00010000000=>[4,8] [1,2,3,4,7,8,5,6,9,10,11,12]=>00000100000=>[6,6] [1,2,3,4,5,6,7,8,9,10,11,12]=>00000000000=>[12] [8,6,4,7,2,1,3,5]=>1101100=>[1,1,2,1,3] [8,4,6,2,3,5,1,7]=>1010010=>[1,2,3,2] [5,4,8,2,3,6,1,7]=>1010010=>[1,2,3,2] [3,8,6,2,4,5,1,7]=>0110010=>[2,1,3,2] [1,7,6,4,8,2,3,5]=>0110100=>[2,1,2,3] [5,8,7,4,1,2,3,6]=>0111000=>[2,1,1,4] [6,8,5,3,4,1,2,7]=>0110100=>[2,1,2,3] [6,8,3,7,2,1,4,5]=>0101100=>[2,2,1,3] [6,1,3,7,4,8,2,5]=>1001010=>[1,3,2,2] [7,1,6,4,8,2,3,5]=>1010100=>[1,2,2,3] [1,8,5,7,2,3,4,6]=>0101000=>[2,2,4] [6,1,5,8,2,3,4,7]=>1001000=>[1,3,4] [6,1,5,7,8,2,3,4]=>1000100=>[1,4,3] [3,8,7,5,1,2,4,6]=>0111000=>[2,1,1,4] [3,7,6,1,2,4,5,8]=>0110000=>[2,1,5] [4,7,6,1,2,3,5,8]=>0110000=>[2,1,5] [1,6,5,8,2,3,4,7]=>0101000=>[2,2,4] [8,5,7,4,1,2,3,6]=>1011000=>[1,2,1,4] [8,6,2,3,1,7,4,5]=>1101010=>[1,1,2,2,2] [8,6,4,1,2,7,3,5]=>1110010=>[1,1,1,3,2] [1,7,2,8,6,3,4,5]=>0101100=>[2,2,1,3] [7,5,8,1,3,6,2,4]=>1010010=>[1,2,3,2] [5,4,1,8,2,3,6,7]=>1101000=>[1,1,2,4] [1,4,8,7,2,3,5,6]=>0011000=>[3,1,4] [1,5,8,7,2,3,4,6]=>0011000=>[3,1,4] [5,7,1,3,8,2,4,6]=>0100100=>[2,3,3] [7,1,5,8,6,2,3,4]=>1001100=>[1,3,1,3] [6,1,8,2,7,3,4,5]=>1010100=>[1,2,2,3] [4,1,8,7,2,3,5,6]=>1011000=>[1,2,1,4] [5,1,8,7,2,3,4,6]=>1011000=>[1,2,1,4] [1,8,7,6,4,5,3,2]=>0111011=>[2,1,1,2,1,1] [9,8,7,6,4,5,3,2,1,10]=>111101110=>[1,1,1,1,2,1,1,2] [8,7,6,4,3,5,2,1,9]=>11110110=>[1,1,1,1,2,1,2] [8,7,6,3,5,4,2,1,9]=>11101110=>[1,1,1,2,1,1,2] [1,9,8,7,5,4,6,3,2]=>01111011=>[2,1,1,1,2,1,1] [1,8,7,3,6,5,4,2]=>0110111=>[2,1,2,1,1,1] [1,9,8,7,4,6,5,3,2]=>01110111=>[2,1,1,2,1,1,1] [1,10,9,8,7,5,6,4,3,2]=>011110111=>[2,1,1,1,2,1,1,1] [7,1,5,8,3,4,2,6]=>1001010=>[1,3,2,2] [7,1,4,3,2,5,6,8]=>1011000=>[1,2,1,4] [6,4,2,3,8,5,7,1]=>1100101=>[1,1,3,2,1] [6,4,2,7,5,8,3,1]=>1101011=>[1,1,2,2,1,1] [2,4,1,7,5,8,3,6]=>0101010=>[2,2,2,2] [7,1,4,6,5,2,3,8]=>1001100=>[1,3,1,3] [7,1,4,6,5,8,2,3]=>1001010=>[1,3,2,2] [7,1,4,6,3,8,2,5]=>1001010=>[1,3,2,2] [7,1,4,3,2,5,8,6]=>1011001=>[1,2,1,3,1] [7,1,4,6,5,2,8,3]=>1001101=>[1,3,1,2,1] [7,1,4,6,5,3,8,2]=>1001101=>[1,3,1,2,1] [7,1,4,6,5,3,2,8]=>1001110=>[1,3,1,1,2] [6,4,2,7,5,3,8,1]=>1101101=>[1,1,2,1,2,1] [3,4,7,2,6,8,5,1]=>0010011=>[3,3,1,1] [3,4,7,1,6,8,2,5]=>0010010=>[3,3,2] [3,4,7,1,6,8,5,2]=>0010011=>[3,3,1,1] [2,4,1,7,5,3,6,8]=>0101100=>[2,2,1,3] [3,4,1,7,8,6,2,5]=>0100110=>[2,3,1,2] [6,4,2,3,8,5,1,7]=>1100110=>[1,1,3,1,2] [6,4,2,7,5,8,1,3]=>1101010=>[1,1,2,2,2] [6,4,2,7,5,3,1,8]=>1101110=>[1,1,2,1,1,2] [3,4,7,2,6,8,1,5]=>0010010=>[3,3,2] [5,4,7,3,6,8,2,1]=>1010011=>[1,2,3,1,1] [3,4,7,2,6,5,1,8]=>0010110=>[3,2,1,2] [4,8,3,2,5,6,1,7]=>0110010=>[2,1,3,2] [4,8,7,3,5,1,2,6]=>0110100=>[2,1,2,3] [4,8,7,1,3,5,2,6]=>0110010=>[2,1,3,2] [4,8,3,1,2,6,5,7]=>0110010=>[2,1,3,2] [3,4,7,1,6,2,5,8]=>0010100=>[3,2,3] [3,4,7,1,6,2,8,5]=>0010101=>[3,2,2,1] [3,4,7,2,6,5,8,1]=>0010101=>[3,2,2,1] [4,8,3,1,2,6,7,5]=>0110001=>[2,1,4,1] [5,8,1,6,3,4,2,7]=>0101010=>[2,2,2,2] [6,8,5,1,3,7,2,4]=>0110010=>[2,1,3,2] [6,8,5,1,3,4,7,2]=>0110001=>[2,1,4,1] [5,8,3,4,2,6,7,1]=>0101001=>[2,2,3,1] [5,4,7,3,6,2,8,1]=>1010101=>[1,2,2,2,1] [5,4,7,2,6,1,8,3]=>1010101=>[1,2,2,2,1] [6,4,3,7,5,1,2,8]=>1101100=>[1,1,2,1,3] [6,4,3,7,5,1,8,2]=>1101101=>[1,1,2,1,2,1] [6,2,4,3,1,5,8,7]=>1011001=>[1,2,1,3,1] [3,8,7,4,1,5,2,6]=>0111010=>[2,1,1,2,2] [2,4,7,3,6,1,5,8]=>0010100=>[3,2,3] [5,8,3,2,1,6,4,7]=>0111010=>[2,1,1,2,2] [5,8,7,4,3,1,2,6]=>0111100=>[2,1,1,1,3] [5,4,7,3,6,2,1,8]=>1010110=>[1,2,2,1,2] [7,3,8,2,1,6,5,4]=>1011011=>[1,2,1,2,1,1] [7,4,3,8,5,2,1,6]=>1101110=>[1,1,2,1,1,2] [6,5,2,8,4,3,1,7]=>1101110=>[1,1,2,1,1,2] [4,3,2,8,6,5,1,7]=>1101110=>[1,1,2,1,1,2] [4,3,8,7,5,1,6,2]=>1011101=>[1,2,1,1,2,1] [3,2,5,8,6,1,4,7]=>1001100=>[1,3,1,3] [8,4,3,7,5,2,6,1]=>1101101=>[1,1,2,1,2,1] [4,3,7,8,5,1,2,6]=>1001100=>[1,3,1,3] [5,3,7,8,4,1,2,6]=>1001100=>[1,3,1,3] [6,2,5,8,3,1,4,7]=>1001100=>[1,3,1,3] [6,2,4,8,3,1,5,7]=>1001100=>[1,3,1,3] [5,2,3,8,4,1,6,7]=>1001100=>[1,3,1,3] [5,3,8,7,4,1,6,2]=>1011101=>[1,2,1,1,2,1] [5,3,2,8,6,4,1,7]=>1101110=>[1,1,2,1,1,2] [7,5,3,8,4,2,1,6]=>1101110=>[1,1,2,1,1,2] [8,7,5,3,6,2,4,1]=>1110101=>[1,1,1,2,2,1] [8,6,5,3,7,2,4,1]=>1110101=>[1,1,1,2,2,1] [7,5,4,3,8,2,6,1]=>1110101=>[1,1,1,2,2,1] [6,4,5,3,8,2,7,1]=>1010101=>[1,2,2,2,1] [7,4,6,3,8,2,5,1]=>1010101=>[1,2,2,2,1] [7,5,6,3,8,2,4,1]=>1010101=>[1,2,2,2,1] [8,5,6,3,7,2,4,1]=>1010101=>[1,2,2,2,1] [7,4,6,3,5,2,8,1]=>1010101=>[1,2,2,2,1] [8,4,6,3,5,2,7,1]=>1010101=>[1,2,2,2,1] [8,4,7,3,5,2,6,1]=>1010101=>[1,2,2,2,1] [8,5,7,3,4,2,6,1]=>1010101=>[1,2,2,2,1] [7,5,8,4,3,2,6,1]=>1011101=>[1,2,1,1,2,1] [6,5,8,4,3,2,7,1]=>1011101=>[1,2,1,1,2,1] [6,5,8,3,4,2,7,1]=>1010101=>[1,2,2,2,1] [7,5,8,3,4,2,6,1]=>1010101=>[1,2,2,2,1] [7,5,8,4,6,2,3,1]=>1010101=>[1,2,2,2,1] [7,4,8,3,6,2,5,1]=>1010101=>[1,2,2,2,1] [7,4,8,3,5,2,6,1]=>1010101=>[1,2,2,2,1] [6,4,8,3,5,2,7,1]=>1010101=>[1,2,2,2,1] [6,4,7,3,5,2,8,1]=>1010101=>[1,2,2,2,1] [5,4,8,3,7,2,6,1]=>1010101=>[1,2,2,2,1] [6,5,8,3,7,2,4,1]=>1010101=>[1,2,2,2,1] [6,5,8,4,7,2,3,1]=>1010101=>[1,2,2,2,1] [6,5,8,4,7,3,2,1]=>1010111=>[1,2,2,1,1,1] [6,4,7,3,8,2,5,1]=>1010101=>[1,2,2,2,1] [5,4,7,3,8,2,6,1]=>1010101=>[1,2,2,2,1] [5,4,6,3,8,2,7,1]=>1010101=>[1,2,2,2,1] [5,3,6,2,4,7,8,1]=>1010001=>[1,2,4,1] [5,3,6,1,4,8,7,2]=>1010011=>[1,2,3,1,1] [5,3,7,2,4,6,8,1]=>1010001=>[1,2,4,1] [4,3,1,5,6,8,7,2]=>1100011=>[1,1,4,1,1] [4,2,1,5,8,6,3,7]=>1100110=>[1,1,3,1,2] [4,2,1,5,8,6,7,3]=>1100101=>[1,1,3,2,1] [4,2,1,5,8,7,6,3]=>1100111=>[1,1,3,1,1,1] [4,3,1,5,7,8,6,2]=>1100011=>[1,1,4,1,1] [4,3,1,7,5,8,6,2]=>1101011=>[1,1,2,2,1,1] [6,7,3,1,4,8,2,5]=>0110010=>[2,1,3,2] [5,3,7,1,4,8,2,6]=>1010010=>[1,2,3,2] [4,3,1,5,7,8,2,6]=>1100010=>[1,1,4,2] [3,2,1,8,5,4,6,7]=>1101100=>[1,1,2,1,3] [3,2,1,8,5,7,4,6]=>1101010=>[1,1,2,2,2] [3,2,1,8,7,5,4,6]=>1101110=>[1,1,2,1,1,2] [5,2,7,1,8,4,3,6]=>1010110=>[1,2,2,1,2] [6,7,2,1,8,4,3,5]=>0110110=>[2,1,2,1,2] [6,7,2,1,8,4,5,3]=>0110101=>[2,1,2,2,1] [3,2,1,8,5,6,4,7]=>1101010=>[1,1,2,2,2] [3,2,1,8,6,5,4,7]=>1101110=>[1,1,2,1,1,2] [4,3,1,6,7,8,5,2]=>1100011=>[1,1,4,1,1] [4,2,1,6,8,7,5,3]=>1100111=>[1,1,3,1,1,1] [4,2,1,6,8,5,7,3]=>1100101=>[1,1,3,2,1] [4,2,1,6,8,5,3,7]=>1100110=>[1,1,3,1,2] [5,2,6,1,8,4,3,7]=>1010110=>[1,2,2,1,2] [5,2,6,1,8,7,4,3]=>1010111=>[1,2,2,1,1,1] [5,2,6,1,8,7,3,4]=>1010110=>[1,2,2,1,2] [5,2,6,1,8,3,4,7]=>1010100=>[1,2,2,3] [4,2,1,6,8,3,7,5]=>1100101=>[1,1,3,2,1] [4,3,1,6,7,8,2,5]=>1100010=>[1,1,4,2] [6,7,3,1,5,8,2,4]=>0110010=>[2,1,3,2] [4,2,1,7,8,6,3,5]=>1100110=>[1,1,3,1,2] [3,2,1,8,7,6,4,5]=>1101110=>[1,1,2,1,1,2] [3,2,1,8,6,4,7,5]=>1101101=>[1,1,2,1,2,1] [3,2,1,8,6,4,5,7]=>1101100=>[1,1,2,1,3] [3,2,1,8,4,6,5,7]=>1101010=>[1,1,2,2,2] [3,2,1,8,4,6,7,5]=>1101001=>[1,1,2,3,1] [3,2,1,8,4,7,6,5]=>1101011=>[1,1,2,2,1,1] [3,2,1,8,7,4,6,5]=>1101101=>[1,1,2,1,2,1] [4,2,1,7,8,3,6,5]=>1100101=>[1,1,3,2,1] [5,2,7,1,8,3,6,4]=>1010101=>[1,2,2,2,1] [6,7,2,1,8,3,5,4]=>0110101=>[2,1,2,2,1] [5,2,7,1,8,3,4,6]=>1010100=>[1,2,2,3] [4,2,1,7,8,3,5,6]=>1100100=>[1,1,3,3] [3,2,1,8,4,5,7,6]=>1101001=>[1,1,2,3,1] [7,5,2,8,6,3,4,1]=>1101101=>[1,1,2,1,2,1] [7,4,8,6,2,5,3,1]=>1011011=>[1,2,1,2,1,1] [7,3,8,6,2,4,5,1]=>1011001=>[1,2,1,3,1] [7,4,3,1,8,2,5,6]=>1110100=>[1,1,1,2,3] [7,4,2,8,5,6,1,3]=>1101010=>[1,1,2,2,2] [7,3,8,5,2,4,6,1]=>1011001=>[1,2,1,3,1] [7,3,8,4,5,6,2,1]=>1010011=>[1,2,3,1,1] [6,3,8,2,4,5,1,7]=>1010010=>[1,2,3,2] [6,3,8,2,5,7,4,1]=>1010011=>[1,2,3,1,1] [6,4,3,8,1,5,2,7]=>1101010=>[1,1,2,2,2] [6,3,7,8,2,4,1,5]=>1001010=>[1,3,2,2] [5,6,7,3,8,2,4,1]=>0010101=>[3,2,2,1] [5,4,7,2,6,8,1,3]=>1010010=>[1,2,3,2] [5,3,8,2,4,6,7,1]=>1010001=>[1,2,4,1] [6,3,8,2,4,7,5,1]=>1010011=>[1,2,3,1,1] [5,7,4,2,6,8,1,3]=>0110010=>[2,1,3,2] [6,4,8,2,7,5,1,3]=>1010110=>[1,2,2,1,2] [6,5,3,1,4,2,7,8]=>1110100=>[1,1,1,2,3] [5,7,4,2,6,1,3,8]=>0110100=>[2,1,2,3] [5,6,4,2,3,8,1,7]=>0110010=>[2,1,3,2] [5,6,3,7,8,2,4,1]=>0100101=>[2,3,2,1] [5,6,3,8,2,4,7,1]=>0101001=>[2,2,3,1] [6,3,7,2,4,5,1,8]=>1010010=>[1,2,3,2] [6,3,7,2,5,8,4,1]=>1010011=>[1,2,3,1,1] [5,3,6,8,2,4,7,1]=>1001001=>[1,3,3,1] [5,4,6,2,3,8,1,7]=>1010010=>[1,2,3,2] [5,3,6,7,8,2,4,1]=>1000101=>[1,4,2,1] [3,6,4,2,1,5,8,7]=>0111001=>[2,1,1,3,1] [3,5,8,6,4,2,1,7]=>0011110=>[3,1,1,1,2] [5,8,6,3,4,2,1,7]=>0110110=>[2,1,2,1,2] [5,6,3,4,2,1,8,7]=>0101101=>[2,2,1,2,1] [6,3,4,2,1,5,8,7]=>1011001=>[1,2,1,3,1] [5,6,4,2,1,3,8,7]=>0111001=>[2,1,1,3,1] [2,5,4,1,7,8,6,3]=>0110011=>[2,1,3,1,1] [2,7,8,5,4,1,6,3]=>0011101=>[3,1,1,2,1] [2,8,5,4,1,6,3,7]=>0111010=>[2,1,1,2,2] [2,6,3,8,5,4,1,7]=>0101110=>[2,2,1,1,2] [2,8,6,3,5,4,1,7]=>0110110=>[2,1,2,1,2] [5,8,6,4,2,1,3,7]=>0111100=>[2,1,1,1,3] [4,2,1,5,7,8,6,3]=>1100011=>[1,1,4,1,1] [2,7,8,6,3,5,4,1]=>0011011=>[3,1,2,1,1] [4,3,8,5,7,6,2,1]=>1010111=>[1,2,2,1,1,1] [7,6,2,1,8,4,3,5]=>1110110=>[1,1,1,2,1,2] [2,1,8,5,6,4,3,7]=>1010110=>[1,2,2,1,2] [4,2,1,8,5,6,3,7]=>1101010=>[1,1,2,2,2] [8,4,2,1,5,6,3,7]=>1110010=>[1,1,1,3,2] [2,5,6,3,8,4,1,7]=>0010110=>[3,2,1,2] [6,3,4,2,1,8,5,7]=>1011010=>[1,2,1,2,2] [3,7,8,5,6,4,2,1]=>0010111=>[3,2,1,1,1] [3,8,5,6,4,2,1,7]=>0101110=>[2,2,1,1,2] [3,6,4,2,1,8,5,7]=>0111010=>[2,1,1,2,2] [3,8,6,4,2,1,5,7]=>0111100=>[2,1,1,1,3] [3,7,8,6,4,2,1,5]=>0011110=>[3,1,1,1,2] [8,5,3,7,6,2,4,1]=>1101101=>[1,1,2,1,2,1] [7,6,2,4,1,8,5,3]=>1101011=>[1,1,2,2,1,1] [8,5,4,1,7,6,2,3]=>1110110=>[1,1,1,2,1,2] [7,6,2,3,8,5,4,1]=>1100111=>[1,1,3,1,1,1] [2,1,7,8,6,4,3,5]=>1001110=>[1,3,1,1,2] [2,1,6,4,3,7,8,5]=>1011001=>[1,2,1,3,1] [6,4,2,1,3,7,8,5]=>1110001=>[1,1,1,4,1] [6,3,7,8,4,2,1,5]=>1001110=>[1,3,1,1,2] [7,8,4,2,1,6,3,5]=>0111010=>[2,1,1,2,2] [5,7,6,2,3,8,4,1]=>0110011=>[2,1,3,1,1] [2,6,1,8,4,3,7,5]=>0101101=>[2,2,1,2,1] [2,6,1,7,5,8,4,3]=>0101011=>[2,2,2,1,1] [8,4,2,3,7,5,6,1]=>1100101=>[1,1,3,2,1] [8,5,7,6,2,1,4,3]=>1011101=>[1,2,1,1,2,1] [4,8,5,7,6,2,1,3]=>0101110=>[2,2,1,1,2] [4,7,6,2,1,3,8,5]=>0111001=>[2,1,1,3,1] [7,5,6,1,8,4,2,3]=>1010110=>[1,2,2,1,2] [2,7,5,8,4,3,6,1]=>0101101=>[2,2,1,2,1] [2,8,4,3,6,1,7,5]=>0110101=>[2,1,2,2,1] [6,4,7,8,3,2,1,5]=>1001110=>[1,3,1,1,2] [7,6,5,8,4,3,2,1,9]=>11011110=>[1,1,2,1,1,1,2] [7,6,5,4,9,3,2,1,8]=>11101110=>[1,1,1,2,1,1,2] [7,6,5,4,3,8,2,1,9]=>11110110=>[1,1,1,1,2,1,2] [7,6,5,4,3,2,8,1,9]=>11111010=>[1,1,1,1,1,2,2] [6,9,8,5,4,3,2,1,7]=>01111110=>[2,1,1,1,1,1,2] [8,7,9,6,5,4,3,2,1,10]=>101111110=>[1,2,1,1,1,1,1,2] [7,5,8,9,4,3,2,1,6]=>10011110=>[1,3,1,1,1,2] [8,7,6,9,5,4,3,2,1,10]=>110111110=>[1,1,2,1,1,1,1,2] [6,4,3,7,5,2,1,8]=>1101110=>[1,1,2,1,1,2] [7,6,4,8,9,3,2,1,5]=>11001110=>[1,1,3,1,1,2] [8,7,6,5,10,4,3,2,1,9]=>111011110=>[1,1,1,2,1,1,1,2] [6,5,3,2,8,4,1,7]=>1110110=>[1,1,1,2,1,2] [7,6,5,3,9,8,2,1,4]=>11101110=>[1,1,1,2,1,1,2] [8,7,6,5,4,9,3,2,1,10]=>111101110=>[1,1,1,1,2,1,1,2] [6,5,2,7,8,4,1,3]=>1100110=>[1,1,3,1,2] [7,6,5,4,2,8,9,1,3]=>11110010=>[1,1,1,1,3,2] [8,7,6,5,4,3,9,2,1,10]=>111110110=>[1,1,1,1,1,2,1,2] [7,6,5,4,3,1,8,9,2]=>11111001=>[1,1,1,1,1,3,1] [7,10,9,6,5,4,3,2,1,8]=>011111110=>[2,1,1,1,1,1,1,2] [9,8,10,7,6,5,4,3,2,1,11]=>1011111110=>[1,2,1,1,1,1,1,1,2] [6,5,8,7,4,3,2,1,9]=>10111110=>[1,2,1,1,1,1,2] [8,6,9,10,5,4,3,2,1,7]=>100111110=>[1,3,1,1,1,1,2] [9,8,7,10,6,5,4,3,2,1,11]=>1101111110=>[1,1,2,1,1,1,1,1,2] [7,5,4,8,6,3,2,1,9]=>11011110=>[1,1,2,1,1,1,2] [5,9,8,7,4,3,2,1,6]=>01111110=>[2,1,1,1,1,1,2] [8,7,5,9,10,4,3,2,1,6]=>110011110=>[1,1,3,1,1,1,2] [9,8,7,6,11,5,4,3,2,1,10]=>1110111110=>[1,1,1,2,1,1,1,1,2] [6,4,3,2,5,8,1,7]=>1110010=>[1,1,1,3,2] [7,6,4,3,9,5,2,1,8]=>11101110=>[1,1,1,2,1,1,2] [7,4,8,9,6,3,2,1,5]=>10011110=>[1,3,1,1,1,2] [8,7,6,4,10,9,3,2,1,5]=>111011110=>[1,1,1,2,1,1,1,2] [9,8,7,6,5,10,4,3,2,1,11]=>1111011110=>[1,1,1,1,2,1,1,1,2] [6,3,7,2,5,4,1,8]=>1010110=>[1,2,2,1,2] [7,6,5,3,2,8,4,1,9]=>11110110=>[1,1,1,1,2,1,2] [7,6,3,8,9,5,2,1,4]=>11001110=>[1,1,3,1,1,2] [8,7,6,5,3,9,10,2,1,4]=>111100110=>[1,1,1,1,3,1,2] [9,8,7,6,5,4,10,3,2,1,11]=>1111101110=>[1,1,1,1,1,2,1,1,2] [7,6,5,4,2,1,8,3,9]=>11111010=>[1,1,1,1,1,2,2] [6,3,2,7,5,4,1,8]=>1101110=>[1,1,2,1,1,2] [7,6,5,2,9,8,4,1,3]=>11101110=>[1,1,1,2,1,1,2] [8,7,6,5,4,2,9,10,1,3]=>111110010=>[1,1,1,1,1,3,2] [9,8,7,6,5,4,3,11,2,1,10]=>1111110110=>[1,1,1,1,1,1,2,1,2] [7,6,5,4,1,8,9,3,2]=>11110011=>[1,1,1,1,3,1,1] [8,7,6,5,4,3,1,10,9,2]=>111111011=>[1,1,1,1,1,1,2,1,1] [9,8,7,6,5,4,3,2,10,1,11]=>1111111010=>[1,1,1,1,1,1,1,2,2] [9,8,7,6,5,4,3,2,1,10,11]=>1111111100=>[1,1,1,1,1,1,1,1,3] [8,4,2,6,3,1,7,5]=>1101101=>[1,1,2,1,2,1] [1,5,3,7,4,2,8,6]=>0101101=>[2,2,1,2,1] [1,6,7,3,4,2,8,5]=>0010101=>[3,2,2,1] [8,6,5,2,3,1,7,4]=>1110101=>[1,1,1,2,2,1] [1,7,6,3,4,2,8,5]=>0110101=>[2,1,2,2,1] [1,8,6,3,2,5,7,4]=>0111001=>[2,1,1,3,1] [8,7,5,2,1,4,6,3]=>1111001=>[1,1,1,1,3,1] [7,8,5,2,1,4,6,3]=>0111001=>[2,1,1,3,1] [6,8,5,2,3,1,7,4]=>0110101=>[2,1,2,2,1] [5,8,6,2,3,1,7,4]=>0110101=>[2,1,2,2,1] [4,8,2,6,3,1,7,5]=>0101101=>[2,2,1,2,1] [3,2,8,6,4,1,7,5]=>1011101=>[1,2,1,1,2,1] [3,2,1,7,5,4,8,6]=>1101101=>[1,1,2,1,2,1] [4,1,3,7,5,2,8,6]=>1001101=>[1,3,1,2,1] [5,1,7,3,4,2,8,6]=>1010101=>[1,2,2,2,1] [7,1,6,3,2,5,8,4]=>1011001=>[1,2,1,3,1] [1,2,7,4,3,6,8,5]=>0011001=>[3,1,3,1] [6,1,8,2,4,5,7,3]=>1010001=>[1,2,4,1] [5,1,8,3,2,6,7,4]=>1011001=>[1,2,1,3,1] [3,2,8,7,1,5,6,4]=>1011001=>[1,2,1,3,1] [4,8,2,7,1,5,6,3]=>0101001=>[2,2,3,1] [5,8,7,2,1,4,6,3]=>0111001=>[2,1,1,3,1] [6,8,7,1,3,4,5,2]=>0110001=>[2,1,4,1] [7,8,6,1,3,4,5,2]=>0110001=>[2,1,4,1] [1,7,8,2,4,5,6,3]=>0010001=>[3,4,1] [8,6,7,1,3,4,5,2]=>1010001=>[1,2,4,1] [7,6,8,1,3,4,5,2]=>1010001=>[1,2,4,1] [6,5,8,2,3,1,7,4]=>1010101=>[1,2,2,2,1] [1,6,8,3,2,5,7,4]=>0011001=>[3,1,3,1] [1,5,3,8,2,6,7,4]=>0101001=>[2,2,3,1] [8,4,2,7,1,5,6,3]=>1101001=>[1,1,2,3,1] [7,4,2,8,1,5,6,3]=>1101001=>[1,1,2,3,1] [6,4,2,8,3,1,7,5]=>1101101=>[1,1,2,1,2,1] [5,4,2,3,8,1,7,6]=>1100101=>[1,1,3,2,1] [4,5,2,3,1,6,8,7]=>0101001=>[2,2,3,1] [7,4,2,1,3,6,8,5]=>1110001=>[1,1,1,4,1] [8,4,2,1,3,6,7,5]=>1110001=>[1,1,1,4,1] [1,5,3,2,4,7,8,6]=>0110001=>[2,1,4,1] [8,5,1,3,2,6,7,4]=>1101001=>[1,1,2,3,1] [5,6,1,3,4,2,8,7]=>0100101=>[2,3,2,1] [4,6,2,1,5,3,8,7]=>0110101=>[2,1,2,2,1] [4,7,2,1,3,6,8,5]=>0110001=>[2,1,4,1] [5,7,1,3,2,6,8,4]=>0101001=>[2,2,3,1] [6,7,1,2,4,5,8,3]=>0100001=>[2,5,1] [8,6,1,2,4,5,7,3]=>1100001=>[1,1,5,1] [1,8,2,3,5,6,7,4]=>0100001=>[2,5,1] [8,7,1,2,4,5,6,3]=>1100001=>[1,1,5,1] [7,8,1,2,4,5,6,3]=>0100001=>[2,5,1] [5,8,1,3,2,6,7,4]=>0101001=>[2,2,3,1] [4,8,2,1,3,6,7,5]=>0110001=>[2,1,4,1] [4,1,3,2,5,7,8,6]=>1010001=>[1,2,4,1] [5,1,2,4,3,7,8,6]=>1001001=>[1,3,3,1] [5,4,8,1,2,3,7,6]=>1010001=>[1,2,4,1] [1,4,7,6,3,2,5,8]=>0011100=>[3,1,1,3] [4,8,3,2,7,6,1,5]=>0110110=>[2,1,2,1,2] [4,3,8,2,7,1,6,5]=>1010101=>[1,2,2,2,1] [1,4,7,3,6,2,5,8]=>0010100=>[3,2,3] [4,3,2,8,1,7,6,5]=>1101011=>[1,1,2,2,1,1] [4,1,8,3,7,2,5,6]=>1010100=>[1,2,2,3] [4,1,8,7,3,2,5,6]=>1011100=>[1,2,1,1,3] [4,7,8,1,2,5,3,6]=>0010010=>[3,3,2] [3,4,7,6,2,1,8,5]=>0011101=>[3,1,1,2,1] [3,4,2,7,1,6,8,5]=>0101001=>[2,2,3,1] [2,3,6,7,4,1,8,5]=>0001101=>[4,1,2,1] [2,6,3,4,7,8,1,5]=>0100010=>[2,4,2] [2,6,7,8,3,4,1,5]=>0001010=>[4,2,2] [3,1,7,8,4,2,5,6]=>1001100=>[1,3,1,3] [4,1,3,2,8,7,5,6]=>1010110=>[1,2,2,1,2] [3,7,8,2,6,4,1,5]=>0010110=>[3,2,1,2] [4,2,3,8,1,6,7,5]=>1001001=>[1,3,3,1] [4,3,1,8,2,5,7,6]=>1101001=>[1,1,2,3,1] [1,3,6,7,4,2,5,8]=>0001100=>[4,1,3] [3,2,7,8,4,1,6,5]=>1001101=>[1,3,1,2,1] [4,2,8,6,3,1,7,5]=>1011101=>[1,2,1,1,2,1] [3,7,2,4,8,6,1,5]=>0100110=>[2,3,1,2] [3,2,7,4,8,1,6,5]=>1010101=>[1,2,2,2,1] [1,3,6,4,7,2,5,8]=>0010100=>[3,2,3] [3,2,4,7,1,8,6,5]=>1001011=>[1,3,2,1,1] [3,7,4,2,6,8,1,5]=>0110010=>[2,1,3,2] [3,7,4,6,2,8,1,5]=>0101010=>[2,2,2,2] [4,7,1,5,8,2,3,6]=>0100100=>[2,3,3] [3,7,6,4,8,2,1,5]=>0110110=>[2,1,2,1,2] [3,1,7,4,8,2,5,6]=>1010100=>[1,2,2,3] [2,6,7,3,8,4,1,5]=>0010110=>[3,2,1,2] [2,3,6,4,7,1,8,5]=>0010101=>[3,2,2,1] [8,7,5,2,6,3,4,1]=>1110101=>[1,1,1,2,2,1] [8,6,5,2,7,3,4,1]=>1110101=>[1,1,1,2,2,1] [7,4,8,5,6,3,2,1]=>1010111=>[1,2,2,1,1,1] [3,4,6,7,8,5,1,2]=>0000110=>[5,1,2] [1,2,6,4,7,5,8,3]=>0010101=>[3,2,2,1] [3,1,7,5,4,2,6,8]=>1011100=>[1,2,1,1,3] [6,3,8,5,4,7,1,2]=>1011010=>[1,2,1,2,2] [1,6,2,5,4,7,8,3]=>0101001=>[2,2,3,1] [1,8,2,5,6,3,7,4]=>0100101=>[2,3,2,1] [1,2,6,4,8,5,7,3]=>0010101=>[3,2,2,1] [7,8,3,1,4,2,5,6]=>0110100=>[2,1,2,3] [4,8,1,5,2,3,6,7]=>0101000=>[2,2,4] [7,4,1,5,2,3,6,8]=>1101000=>[1,1,2,4] [5,6,1,8,4,3,2,7]=>0101110=>[2,2,1,1,2] [5,1,8,6,4,3,2,7]=>1011110=>[1,2,1,1,1,2] [5,1,6,3,8,7,2,4]=>1010110=>[1,2,2,1,2] [6,1,2,5,8,3,7,4]=>1000101=>[1,4,2,1] [6,1,8,7,4,3,2,5]=>1011110=>[1,2,1,1,1,2] [7,1,2,5,4,8,6,3]=>1001011=>[1,3,2,1,1] [1,2,7,5,8,3,6,4]=>0010101=>[3,2,2,1] [4,1,6,3,7,5,2,8]=>1010110=>[1,2,2,1,2] [1,3,6,7,8,5,2,4]=>0000110=>[5,1,2] [1,2,6,4,7,8,5,3]=>0010011=>[3,3,1,1] [4,1,6,3,7,8,2,5]=>1010010=>[1,2,3,2] [3,1,6,4,8,2,7,5]=>1010101=>[1,2,2,2,1] [7,8,4,1,6,3,2,5]=>0110110=>[2,1,2,1,2] [4,1,6,3,8,7,2,5]=>1010110=>[1,2,2,1,2] [7,5,1,8,4,3,2,6]=>1101110=>[1,1,2,1,1,2] [6,5,1,7,4,3,2,8]=>1101110=>[1,1,2,1,1,2] [4,1,8,5,2,3,7,6]=>1011001=>[1,2,1,3,1] [4,1,6,8,3,7,2,5]=>1001010=>[1,3,2,2] [5,4,6,1,3,8,2,7]=>1010010=>[1,2,3,2] [6,5,8,1,4,3,2,7]=>1010110=>[1,2,2,1,2] [1,3,5,7,6,8,2,4]=>0001010=>[4,2,2] [1,3,5,7,6,2,8,4]=>0001101=>[4,1,2,1] [1,3,5,7,2,6,8,4]=>0001001=>[4,3,1] [1,3,5,2,7,6,4,8]=>0010110=>[3,2,1,2] [1,3,5,7,6,2,4,8]=>0001100=>[4,1,3] [1,3,5,7,4,6,8,2]=>0001001=>[4,3,1] [1,3,5,7,4,6,2,8]=>0001010=>[4,2,2] [1,3,5,7,4,2,6,8]=>0001100=>[4,1,3] [1,3,5,4,7,2,6,8]=>0010100=>[3,2,3] [1,3,5,4,7,8,2,6]=>0010010=>[3,3,2] [1,3,5,4,7,2,8,6]=>0010101=>[3,2,2,1] [1,3,5,7,4,2,8,6]=>0001101=>[4,1,2,1] [1,3,5,7,4,8,2,6]=>0001010=>[4,2,2] [1,3,5,7,4,8,6,2]=>0001011=>[4,2,1,1] [1,3,5,7,8,4,6,2]=>0000101=>[5,2,1] [1,3,5,7,8,4,2,6]=>0000110=>[5,1,2] [1,3,5,2,7,8,6,4]=>0010011=>[3,3,1,1] [1,3,5,7,2,8,6,4]=>0001011=>[4,2,1,1] [1,3,5,7,8,2,6,4]=>0000101=>[5,2,1] [1,6,3,2,7,4,8,5]=>0110101=>[2,1,2,2,1] [3,5,1,6,2,8,7,4]=>0101011=>[2,2,2,1,1] [1,3,7,2,5,4,8,6]=>0010101=>[3,2,2,1] [1,3,7,5,2,4,8,6]=>0011001=>[3,1,3,1] [2,5,7,4,3,8,1,6]=>0011010=>[3,1,2,2] [2,5,3,7,4,8,1,6]=>0101010=>[2,2,2,2] [2,4,7,3,1,8,6,5]=>0011011=>[3,1,2,1,1] [1,4,7,3,8,2,6,5]=>0010101=>[3,2,2,1] [3,2,6,7,8,1,5,4]=>1000101=>[1,4,2,1] [3,5,2,7,8,4,1,6]=>0100110=>[2,3,1,2] [1,5,7,4,8,3,2,6]=>0010110=>[3,2,1,2] [4,6,2,1,7,8,3,5]=>0110010=>[2,1,3,2] [3,5,2,6,8,4,7,1]=>0100101=>[2,3,2,1] [2,5,7,4,3,8,6,1]=>0011011=>[3,1,2,1,1] [1,5,7,2,4,8,6,3]=>0010011=>[3,3,1,1] [4,6,3,7,2,8,5,1]=>0101011=>[2,2,2,1,1] [1,4,7,3,8,6,2,5]=>0010110=>[3,2,1,2] [5,1,6,8,2,4,3,7]=>1001010=>[1,3,2,2] [5,3,7,8,2,4,1,6]=>1001010=>[1,3,2,2] [8,5,3,7,2,4,1,6]=>1101010=>[1,1,2,2,2] [8,2,4,7,3,1,5,6]=>1001100=>[1,3,1,3] [2,4,7,8,3,1,5,6]=>0001100=>[4,1,3] [6,3,1,5,8,2,4,7]=>1100100=>[1,1,3,3] [6,5,3,4,2,8,1,7]=>1101010=>[1,1,2,2,2] [5,2,4,3,8,1,6,7]=>1010100=>[1,2,2,3] [3,2,4,8,1,5,6,7]=>1001000=>[1,3,4] [3,2,4,6,8,1,5,7]=>1000100=>[1,4,3] [8,1,5,7,3,2,4,6]=>1001100=>[1,3,1,3] [8,4,6,7,2,3,1,5]=>1001010=>[1,3,2,2] [4,6,7,8,2,3,1,5]=>0001010=>[4,2,2] [7,4,6,8,2,3,1,5]=>1001010=>[1,3,2,2] [7,2,4,8,3,1,5,6]=>1001100=>[1,3,1,3] [5,3,8,7,2,4,1,6]=>1011010=>[1,2,1,2,2] [2,4,8,7,3,1,5,6]=>0011100=>[3,1,1,3] [4,6,8,7,2,3,1,5]=>0011010=>[3,1,2,2] [8,7,4,6,2,3,1,5]=>1101010=>[1,1,2,2,2] [5,6,8,7,2,3,1,4]=>0011010=>[3,1,2,2] [6,4,8,7,2,3,1,5]=>1011010=>[1,2,1,2,2] [3,1,7,4,2,8,6,5]=>1011011=>[1,2,1,2,1,1] [3,2,8,4,1,7,6,5]=>1011011=>[1,2,1,2,1,1] [7,6,4,8,2,3,1,5]=>1101010=>[1,1,2,2,2] [5,7,6,8,2,3,1,4]=>0101010=>[2,2,2,2] [4,7,6,8,2,3,1,5]=>0101010=>[2,2,2,2] [8,6,4,7,2,3,1,5]=>1101010=>[1,1,2,2,2] [8,2,3,7,4,1,6,5]=>1001101=>[1,3,1,2,1] [2,3,7,8,4,1,6,5]=>0001101=>[4,1,2,1] [3,7,4,8,2,5,1,6]=>0101010=>[2,2,2,2] [2,3,7,4,1,6,8,5]=>0011001=>[3,1,3,1] [8,1,6,4,2,3,7,5]=>1011001=>[1,2,1,3,1] [4,7,8,6,2,3,1,5]=>0011010=>[3,1,2,2] [2,4,7,3,1,5,8,6]=>0011001=>[3,1,3,1] [6,3,1,7,4,2,8,5]=>1101101=>[1,1,2,1,2,1] [8,5,7,6,2,3,1,4]=>1011010=>[1,2,1,2,2] [7,5,8,6,2,3,1,4]=>1011010=>[1,2,1,2,2] [7,1,6,4,2,3,8,5]=>1011001=>[1,2,1,3,1] [3,1,7,6,4,2,8,5]=>1011101=>[1,2,1,1,2,1] [4,8,7,6,2,3,1,5]=>0111010=>[2,1,1,2,2] [6,8,7,5,2,3,1,4]=>0111010=>[2,1,1,2,2] [4,3,6,1,5,8,7,2]=>1010011=>[1,2,3,1,1] [4,3,6,5,1,8,7,2]=>1011011=>[1,2,1,2,1,1] [4,6,3,5,1,8,7,2]=>0101011=>[2,2,2,1,1] [4,6,3,1,5,8,7,2]=>0110011=>[2,1,3,1,1] [4,1,6,5,3,8,7,2]=>1011011=>[1,2,1,2,1,1] [4,6,1,5,3,8,7,2]=>0101011=>[2,2,2,1,1] [2,6,5,3,1,8,7,4]=>0111011=>[2,1,1,2,1,1] [2,6,5,1,8,7,3,4]=>0110110=>[2,1,2,1,2] [2,6,5,8,1,7,3,4]=>0101010=>[2,2,2,2] [2,6,5,8,1,3,7,4]=>0101001=>[2,2,3,1] [2,6,5,8,3,1,7,4]=>0101101=>[2,2,1,2,1] [2,6,5,3,8,1,7,4]=>0110101=>[2,1,2,2,1] [4,6,1,5,8,3,7,2]=>0100101=>[2,3,2,1] [4,1,6,5,8,3,7,2]=>1010101=>[1,2,2,2,1] [1,4,6,5,8,3,7,2]=>0010101=>[3,2,2,1] [4,1,6,5,8,7,3,2]=>1010111=>[1,2,2,1,1,1] [2,6,5,3,8,7,1,4]=>0110110=>[2,1,2,1,2] [6,4,3,8,7,1,5,2]=>1101101=>[1,1,2,1,2,1] [6,4,8,3,7,1,5,2]=>1010101=>[1,2,2,2,1] [2,6,8,5,3,7,1,4]=>0011010=>[3,1,2,2] [4,6,8,1,5,7,3,2]=>0010011=>[3,3,1,1] [4,6,1,8,5,7,3,2]=>0101011=>[2,2,2,1,1] [4,1,6,8,5,7,3,2]=>1001011=>[1,3,2,1,1] [1,4,6,8,5,7,3,2]=>0001011=>[4,2,1,1] [1,4,6,8,5,3,7,2]=>0001101=>[4,1,2,1] [4,6,1,8,5,3,7,2]=>0101101=>[2,2,1,2,1] [2,6,8,5,3,1,7,4]=>0011101=>[3,1,1,2,1] [2,6,8,5,1,7,3,4]=>0011010=>[3,1,2,2] [4,6,8,3,5,1,7,2]=>0010101=>[3,2,2,1] [4,6,8,3,1,5,7,2]=>0011001=>[3,1,3,1] [4,6,3,1,8,5,7,2]=>0110101=>[2,1,2,2,1] [4,6,3,8,1,5,7,2]=>0101001=>[2,2,3,1] [4,6,3,8,5,7,1,2]=>0101010=>[2,2,2,2] [4,3,6,8,1,5,7,2]=>1001001=>[1,3,3,1] [4,3,6,1,8,5,7,2]=>1010101=>[1,2,2,2,1] [4,3,1,6,8,5,7,2]=>1100101=>[1,1,3,2,1] [4,1,3,6,8,7,5,2]=>1000111=>[1,4,1,1,1] [4,3,6,1,8,7,5,2]=>1010111=>[1,2,2,1,1,1] [4,3,6,8,1,7,5,2]=>1001011=>[1,3,2,1,1] [6,5,2,8,7,3,1,4]=>1101110=>[1,1,2,1,1,2] [6,5,2,8,7,1,3,4]=>1101100=>[1,1,2,1,3] [6,2,5,8,7,1,3,4]=>1001100=>[1,3,1,3] [6,2,5,8,7,3,1,4]=>1001110=>[1,3,1,1,2] [4,6,3,8,1,7,5,2]=>0101011=>[2,2,2,1,1] [4,6,3,1,8,7,5,2]=>0110111=>[2,1,2,1,1,1] [4,1,6,3,8,7,5,2]=>1010111=>[1,2,2,1,1,1] [1,4,6,3,8,7,5,2]=>0010111=>[3,2,1,1,1] [4,1,6,8,3,7,5,2]=>1001011=>[1,3,2,1,1] [4,6,1,8,3,7,5,2]=>0101011=>[2,2,2,1,1] [4,6,8,1,3,7,5,2]=>0010011=>[3,3,1,1] [6,2,8,5,7,3,1,4]=>1010110=>[1,2,2,1,2] [6,2,8,5,7,1,3,4]=>1010100=>[1,2,2,3] [2,4,8,7,1,5,3,6]=>0011010=>[3,1,2,2] [4,2,8,7,5,3,1,6]=>1011110=>[1,2,1,1,1,2] [6,4,1,8,7,5,3,2]=>1101111=>[1,1,2,1,1,1,1] [6,1,4,8,7,5,3,2]=>1001111=>[1,3,1,1,1,1] [1,6,4,8,7,3,5,2]=>0101101=>[2,2,1,2,1] [6,4,1,8,7,3,5,2]=>1101101=>[1,1,2,1,2,1] [4,2,8,7,5,1,3,6]=>1011100=>[1,2,1,1,3] [2,4,8,7,3,5,1,6]=>0011010=>[3,1,2,2] [2,3,4,5,6,8,9,7,1]=>00000011=>[7,1,1] [2,3,4,7,1,8,6,5]=>0001011=>[4,2,1,1] [2,3,4,5,7,8,9,6,1]=>00000011=>[7,1,1] [2,3,5,6,7,8,9,4,1]=>00000011=>[7,1,1] [2,4,5,6,7,8,9,3,1]=>00000011=>[7,1,1] [2,3,4,5,6,7,9,10,8,1]=>000000011=>[8,1,1] [2,3,4,7,8,5,6,1]=>0000101=>[5,2,1] [2,3,4,5,8,1,9,7,6]=>00001011=>[5,2,1,1] [2,3,4,5,6,8,9,10,7,1]=>000000011=>[8,1,1] [2,3,6,7,4,8,5,1]=>0001011=>[4,2,1,1] [2,3,4,7,1,8,9,6,5]=>00010011=>[4,3,1,1] [2,5,6,3,7,8,1,4]=>0010010=>[3,3,2] [2,3,7,1,4,8,6,5]=>0010011=>[3,3,1,1] [2,3,6,1,7,8,9,4,5]=>00100010=>[3,4,2] [2,3,4,6,7,8,9,10,5,1]=>000000011=>[8,1,1] [2,6,1,3,7,8,5,4]=>0100011=>[2,4,1,1] [2,5,1,6,7,8,9,4,3]=>01000011=>[2,5,1,1] [2,3,5,6,7,8,9,10,4,1]=>000000011=>[8,1,1] [4,1,5,6,7,8,9,3,2]=>10000011=>[1,6,1,1] [2,3,4,5,6,7,10,1,8,9]=>000000100=>[7,3] [2,3,4,5,6,7,8,10,11,9,1]=>0000000011=>[9,1,1] [2,3,4,5,8,9,6,7,1]=>00000101=>[6,2,1] [2,3,4,5,6,9,1,10,8,7]=>000001011=>[6,2,1,1] [2,3,4,5,6,7,9,10,11,8,1]=>0000000011=>[9,1,1] [2,3,4,7,8,5,9,6,1]=>00001011=>[5,2,1,1] [2,3,4,5,8,1,9,10,7,6]=>000010011=>[5,3,1,1] [2,3,4,5,6,8,9,10,11,1,7]=>0000000010=>[9,2] [2,5,6,7,4,8,1,3]=>0001010=>[4,2,2] [2,3,6,7,4,8,9,1,5]=>00010010=>[4,3,2] [2,3,4,8,1,5,9,7,6]=>00010011=>[4,3,1,1] [2,3,4,7,1,8,9,10,5,6]=>000100010=>[4,4,2] [2,3,4,5,7,8,9,10,11,6,1]=>0000000011=>[9,1,1] [2,5,6,3,7,8,9,4,1]=>00100011=>[3,4,1,1] [2,3,7,8,4,5,6,1]=>0001001=>[4,3,1] [2,3,7,1,4,8,9,6,5]=>00100011=>[3,4,1,1] [2,3,6,1,7,8,9,10,5,4]=>001000011=>[3,5,1,1] [2,3,4,6,7,8,9,10,11,5,1]=>0000000011=>[9,1,1] [4,5,2,6,7,8,9,3,1]=>01000011=>[2,5,1,1] [2,6,7,3,4,8,5,1]=>0010011=>[3,3,1,1] [2,6,1,3,7,8,9,4,5]=>01000010=>[2,5,2] [2,5,1,6,7,8,9,10,4,3]=>010000011=>[2,6,1,1] [2,3,5,6,7,8,9,10,11,1,4]=>0000000010=>[9,2] [5,1,2,6,7,8,9,4,3]=>10000011=>[1,6,1,1] [4,1,5,6,7,8,9,10,2,3]=>100000010=>[1,7,2] [2,4,5,6,7,8,9,10,11,3,1]=>0000000011=>[9,1,1] [3,4,5,6,7,8,9,10,11,2,1]=>0000000011=>[9,1,1] [1,5,3,2,6,4,7,8]=>0110100=>[2,1,2,3] [1,5,3,2,6,7,4,8]=>0110010=>[2,1,3,2] [1,7,3,2,8,5,4,6]=>0110110=>[2,1,2,1,2] [1,7,3,2,5,8,4,6]=>0110010=>[2,1,3,2] [1,3,2,7,5,4,8,6]=>0101101=>[2,2,1,2,1] [6,5,2,4,3,7,1,8]=>1101010=>[1,1,2,2,2] [6,4,2,5,3,7,1,8]=>1101010=>[1,1,2,2,2] [5,4,7,6,2,3,1,8]=>1011010=>[1,2,1,2,2] [3,6,4,8,2,1,5,7]=>0101100=>[2,2,1,3] [1,6,2,8,5,3,4,7]=>0101100=>[2,2,1,3] [4,6,2,3,7,5,1,8]=>0100110=>[2,3,1,2] [4,7,2,3,6,5,1,8]=>0100110=>[2,3,1,2] [4,7,2,3,5,6,1,8]=>0100010=>[2,4,2] [5,3,2,7,4,6,1,8]=>1101010=>[1,1,2,2,2] [5,3,2,6,4,7,1,8]=>1101010=>[1,1,2,2,2] [4,6,2,3,5,7,1,8]=>0100010=>[2,4,2] [3,5,2,1,6,8,4,7]=>0110010=>[2,1,3,2] [1,5,2,6,8,4,3,7]=>0100110=>[2,3,1,2] [1,5,7,2,8,4,3,6]=>0010110=>[3,2,1,2] [3,5,2,1,8,6,4,7]=>0110110=>[2,1,2,1,2] [3,6,8,4,2,1,5,7]=>0011100=>[3,1,1,3] [4,3,2,6,1,8,5,7]=>1101010=>[1,1,2,2,2] [1,5,8,2,7,4,3,6]=>0010110=>[3,2,1,2] [1,7,2,3,4,8,6,5]=>0100011=>[2,4,1,1] [6,8,2,3,4,1,7,5]=>0100101=>[2,3,2,1] [4,1,8,2,3,5,7,6]=>1010001=>[1,2,4,1] [2,3,1,8,4,5,7,6]=>0101001=>[2,2,3,1] [7,3,2,1,4,5,8,6]=>1110001=>[1,1,1,4,1] [7,8,1,4,3,5,2,6]=>0101010=>[2,2,2,2] [7,1,2,3,4,6,8,5]=>1000001=>[1,6,1] [6,1,2,3,4,8,7,5]=>1000011=>[1,5,1,1] [1,8,2,3,4,7,6,5]=>0100011=>[2,4,1,1] [8,1,2,3,4,6,7,5]=>1000001=>[1,6,1] [2,8,1,3,5,4,7,6]=>0100101=>[2,3,2,1] [8,7,1,4,3,5,2,6]=>1101010=>[1,1,2,2,2] [8,3,2,1,4,5,7,6]=>1110001=>[1,1,1,4,1] [3,8,2,1,5,6,4,7]=>0110010=>[2,1,3,2] [3,8,2,1,6,5,4,7]=>0110110=>[2,1,2,1,2] [1,7,8,3,5,4,2,6]=>0010110=>[3,2,1,2] [7,4,1,8,3,5,2,6]=>1101010=>[1,1,2,2,2] [8,4,1,7,3,5,2,6]=>1101010=>[1,1,2,2,2] [3,8,4,6,2,1,5,7]=>0101100=>[2,2,1,3] [8,4,2,5,3,1,6,7]=>1101100=>[1,1,2,1,3] [8,5,2,4,3,1,6,7]=>1101100=>[1,1,2,1,3] [8,3,2,5,4,1,6,7]=>1101100=>[1,1,2,1,3] [4,3,2,5,1,8,6,7]=>1101010=>[1,1,2,2,2] [3,5,2,4,1,8,6,7]=>0101010=>[2,2,2,2] [2,4,7,8,1,5,3,6]=>0001010=>[4,2,2] [1,8,7,3,5,4,2,6]=>0110110=>[2,1,2,1,2] [5,1,8,2,7,4,3,6]=>1010110=>[1,2,2,1,2] [5,1,7,2,8,4,3,6]=>1010110=>[1,2,2,1,2] [6,1,2,8,5,3,4,7]=>1001100=>[1,3,1,3] [6,3,2,1,8,4,5,7]=>1110100=>[1,1,1,2,3] [7,3,2,8,4,5,1,6]=>1101010=>[1,1,2,2,2] [2,7,8,4,3,5,1,6]=>0011010=>[3,1,2,2] [7,1,8,3,5,4,2,6]=>1010110=>[1,2,2,1,2] [7,8,2,3,4,6,1,5]=>0100010=>[2,4,2] [6,7,1,3,4,8,2,5]=>0100010=>[2,4,2] [6,8,1,3,4,7,2,5]=>0100010=>[2,4,2] [1,7,2,3,4,6,8,5]=>0100001=>[2,5,1] [1,6,2,3,4,8,7,5]=>0100011=>[2,4,1,1] [7,6,2,3,4,1,8,5]=>1100101=>[1,1,3,2,1] [8,6,2,3,4,1,7,5]=>1100101=>[1,1,3,2,1] [8,1,7,3,5,4,2,6]=>1010110=>[1,2,2,1,2] [8,3,2,7,4,5,1,6]=>1101010=>[1,1,2,2,2] [6,7,2,3,4,1,8,5]=>0100101=>[2,3,2,1] [7,6,2,3,4,8,1,5]=>1100010=>[1,1,4,2] [8,6,2,3,4,7,1,5]=>1100010=>[1,1,4,2] [6,3,4,8,7,5,1,2]=>1001110=>[1,3,1,1,2] [4,8,7,3,5,6,1,2]=>0110010=>[2,1,3,2] [4,8,7,5,3,6,1,2]=>0111010=>[2,1,1,2,2] [5,8,7,3,4,6,1,2]=>0110010=>[2,1,3,2] [5,8,4,2,1,6,7,3]=>0111001=>[2,1,1,3,1] [5,8,4,1,2,6,7,3]=>0110001=>[2,1,4,1] [5,3,7,2,6,1,8,4]=>1010101=>[1,2,2,2,1] [5,2,8,1,6,3,7,4]=>1010101=>[1,2,2,2,1] [5,8,2,1,4,7,6,3]=>0110011=>[2,1,3,1,1] [4,8,2,5,1,7,6,3]=>0101011=>[2,2,2,1,1] [7,8,4,1,2,6,5,3]=>0110011=>[2,1,3,1,1] [4,8,1,5,2,7,6,3]=>0101011=>[2,2,2,1,1] [5,8,1,2,4,7,6,3]=>0100011=>[2,4,1,1] [5,2,8,3,6,7,1,4]=>1010010=>[1,2,3,2] [3,8,7,6,2,4,1,5]=>0111010=>[2,1,1,2,2] [2,8,7,6,4,1,3,5]=>0111100=>[2,1,1,1,3] [7,8,2,6,5,1,3,4]=>0101100=>[2,2,1,3] [1,8,7,6,4,2,3,5]=>0111100=>[2,1,1,1,3] [2,8,7,6,3,1,4,5]=>0111100=>[2,1,1,1,3] [1,8,7,6,2,4,3,5]=>0111010=>[2,1,1,2,2] [1,8,7,6,3,4,2,5]=>0111010=>[2,1,1,2,2] [2,8,1,4,5,6,7,3]=>0100001=>[2,5,1] [2,1,7,3,6,5,8,4]=>1010101=>[1,2,2,2,1] [3,1,7,2,6,5,8,4]=>1010101=>[1,2,2,2,1] [3,2,7,1,6,5,8,4]=>1010101=>[1,2,2,2,1] [6,1,2,8,5,7,3,4]=>1001010=>[1,3,2,2] [6,2,1,8,5,7,3,4]=>1101010=>[1,1,2,2,2] [6,3,1,8,5,7,2,4]=>1101010=>[1,1,2,2,2] [6,4,2,1,7,5,8,3]=>1110101=>[1,1,1,2,2,1] [6,1,3,8,5,2,7,4]=>1001101=>[1,3,1,2,1] [2,3,7,1,6,8,5,4]=>0010011=>[3,3,1,1] [1,3,7,2,6,8,5,4]=>0010011=>[3,3,1,1] [7,8,2,6,5,3,1,4]=>0101110=>[2,2,1,1,2] [3,2,6,7,5,8,1,4]=>1001010=>[1,3,2,2] [1,2,7,5,6,3,8,4]=>0010101=>[3,2,2,1] [2,8,7,6,4,3,1,5]=>0111110=>[2,1,1,1,1,2] [3,8,7,6,1,2,5,4]=>0111001=>[2,1,1,3,1] [3,8,7,6,2,1,5,4]=>0111101=>[2,1,1,1,2,1] [4,8,7,6,2,1,3,5]=>0111100=>[2,1,1,1,3] [4,8,7,6,1,3,2,5]=>0111010=>[2,1,1,2,2] [3,8,7,6,4,1,2,5]=>0111100=>[2,1,1,1,3] [7,8,3,6,5,1,2,4]=>0101100=>[2,2,1,3] [2,3,7,5,6,8,1,4]=>0010010=>[3,3,2] [3,8,7,6,4,2,1,5]=>0111110=>[2,1,1,1,1,2] [5,1,4,6,8,2,3,7]=>1000100=>[1,4,3] [1,7,6,3,5,4,8,2]=>0110101=>[2,1,2,2,1] [4,3,7,2,6,5,1,8]=>1010110=>[1,2,2,1,2] [3,4,6,1,5,7,2,8]=>0010010=>[3,3,2] [1,6,8,5,7,3,4,2]=>0010101=>[3,2,2,1] [2,4,1,5,8,6,3,7]=>0100110=>[2,3,1,2] [4,6,1,2,5,8,3,7]=>0100010=>[2,4,2] [5,6,7,2,1,4,8,3]=>0011001=>[3,1,3,1] [7,8,6,5,1,2,4,3]=>0111001=>[2,1,1,3,1] [1,3,6,5,7,8,2,4]=>0010010=>[3,3,2] [7,4,8,5,3,1,6,2]=>1011101=>[1,2,1,1,2,1] [6,8,5,2,4,1,7,3]=>0110101=>[2,1,2,2,1] [2,3,1,6,8,5,7,4]=>0100101=>[2,3,2,1] [7,3,2,5,1,4,8,6]=>1101001=>[1,1,2,3,1] [7,1,4,2,3,6,8,5]=>1010001=>[1,2,4,1] [1,5,8,3,4,6,7,2]=>0010001=>[3,4,1] [8,3,1,2,4,7,6,5]=>1100011=>[1,1,4,1,1] [2,3,8,1,6,5,4,7]=>0010110=>[3,2,1,2] [8,1,4,7,2,5,3,6]=>1001010=>[1,3,2,2] [3,5,2,4,1,7,8,6]=>0101001=>[2,2,3,1] [3,4,7,8,6,2,1,5]=>0001110=>[4,1,1,2] [3,4,8,6,2,7,1,5]=>0011010=>[3,1,2,2] [5,8,2,1,6,7,3,4]=>0110010=>[2,1,3,2] [5,7,2,8,6,4,3,1]=>0101111=>[2,2,1,1,1,1] [6,1,2,7,5,3,8,4]=>1001101=>[1,3,1,2,1] [7,3,2,8,6,4,1,5]=>1101110=>[1,1,2,1,1,2] [2,7,8,4,6,3,1,5]=>0010110=>[3,2,1,2] [1,4,5,7,2,6,8,3]=>0001001=>[4,3,1] [7,3,5,2,6,1,8,4]=>1010101=>[1,2,2,2,1] [8,5,2,3,6,1,7,4]=>1100101=>[1,1,3,2,1] [8,1,6,3,5,7,2,4]=>1010010=>[1,2,3,2] [2,8,6,4,3,7,1,5]=>0111010=>[2,1,1,2,2] [8,3,2,6,4,7,1,5]=>1101010=>[1,1,2,2,2] [2,3,8,7,6,5,1,4]=>0011110=>[3,1,1,1,2] [1,2,8,7,3,6,5,4]=>0011011=>[3,1,2,1,1] [4,2,8,7,3,6,1,5]=>1011010=>[1,2,1,2,2] [4,5,8,7,1,2,6,3]=>0011001=>[3,1,3,1] [1,5,8,7,3,2,6,4]=>0011101=>[3,1,1,2,1] [4,5,8,7,3,2,1,6]=>0011110=>[3,1,1,1,2] [2,6,8,1,7,5,4,3]=>0010111=>[3,2,1,1,1] [3,6,8,4,7,2,1,5]=>0010110=>[3,2,1,2] [2,5,8,3,7,6,1,4]=>0010110=>[3,2,1,2] [3,2,8,4,7,6,1,5]=>1010110=>[1,2,2,1,2] [1,5,8,3,7,2,6,4]=>0010101=>[3,2,2,1] [3,5,8,4,7,2,1,6]=>0010110=>[3,2,1,2] [5,6,8,2,3,7,1,4]=>0010010=>[3,3,2] [1,6,8,4,2,7,5,3]=>0011011=>[3,1,2,1,1] [1,5,8,4,2,7,6,3]=>0011011=>[3,1,2,1,1] [1,5,8,2,3,7,6,4]=>0010011=>[3,3,1,1] [2,1,8,4,3,7,6,5]=>1011011=>[1,2,1,2,1,1] [2,5,8,4,3,7,1,6]=>0011010=>[3,1,2,2] [5,6,8,4,1,2,7,3]=>0011001=>[3,1,3,1] [5,6,8,1,3,2,7,4]=>0010101=>[3,2,2,1] [1,6,8,4,3,2,7,5]=>0011101=>[3,1,1,2,1] [5,6,8,4,3,2,1,7]=>0011110=>[3,1,1,1,2] [7,1,2,8,6,5,4,3]=>1001111=>[1,3,1,1,1,1] [7,1,4,8,6,2,5,3]=>1001101=>[1,3,1,2,1] [7,3,1,8,6,2,5,4]=>1101101=>[1,1,2,1,2,1] [7,2,4,8,3,6,1,5]=>1001010=>[1,3,2,2] [7,1,4,8,3,2,6,5]=>1001101=>[1,3,1,2,1] [7,4,5,8,3,2,1,6]=>1001110=>[1,3,1,1,2] [1,6,2,8,7,5,4,3]=>0101111=>[2,2,1,1,1,1] [1,6,4,8,7,2,5,3]=>0101101=>[2,2,1,2,1] [3,6,4,8,7,2,1,5]=>0101110=>[2,2,1,1,2] [3,2,5,8,7,6,1,4]=>1001110=>[1,3,1,1,2] [3,2,4,8,7,6,1,5]=>1001110=>[1,3,1,1,2] [3,1,5,8,7,2,6,4]=>1001101=>[1,3,1,2,1] [3,1,4,8,7,2,6,5]=>1001101=>[1,3,1,2,1] [1,6,4,8,2,7,5,3]=>0101011=>[2,2,2,1,1] [1,4,5,8,2,7,6,3]=>0001011=>[4,2,1,1] [2,4,5,8,3,7,1,6]=>0001010=>[4,2,2] [4,6,5,8,1,2,7,3]=>0101001=>[2,2,3,1] [1,6,4,8,3,2,7,5]=>0101101=>[2,2,1,2,1] [1,4,5,8,3,2,7,6]=>0001101=>[4,1,2,1] [7,6,1,4,8,2,5,3]=>1100101=>[1,1,3,2,1] [7,6,1,3,8,2,5,4]=>1100101=>[1,1,3,2,1] [7,6,3,4,8,2,1,5]=>1100110=>[1,1,3,1,2] [7,2,5,1,8,6,4,3]=>1010111=>[1,2,2,1,1,1] [7,2,5,3,8,6,1,4]=>1010110=>[1,2,2,1,2] [7,2,1,4,8,6,5,3]=>1100111=>[1,1,3,1,1,1] [7,2,1,3,8,6,5,4]=>1100111=>[1,1,3,1,1,1] [7,2,3,4,8,6,1,5]=>1000110=>[1,4,1,2] [7,3,5,4,8,2,1,6]=>1010110=>[1,2,2,1,2] [2,6,5,1,8,7,4,3]=>0110111=>[2,1,2,1,1,1] [2,3,5,4,8,7,1,6]=>0010110=>[3,2,1,2] [1,6,5,4,8,2,7,3]=>0110101=>[2,1,2,2,1] [1,6,5,3,8,2,7,4]=>0110101=>[2,1,2,2,1] [1,6,3,4,8,2,7,5]=>0100101=>[2,3,2,1] [1,3,5,4,8,2,7,6]=>0010101=>[3,2,2,1] [3,6,5,4,8,2,1,7]=>0110110=>[2,1,2,1,2] [7,6,5,2,3,8,1,4]=>1110010=>[1,1,1,3,2] [7,6,1,4,2,8,5,3]=>1101011=>[1,1,2,2,1,1] [7,6,1,2,3,8,5,4]=>1100011=>[1,1,4,1,1] [7,6,2,4,3,8,1,5]=>1101010=>[1,1,2,2,2] [7,1,5,4,2,8,6,3]=>1011011=>[1,2,1,2,1,1] [7,1,5,2,3,8,6,4]=>1010011=>[1,2,3,1,1] [7,1,2,4,3,8,6,5]=>1001011=>[1,3,2,1,1] [2,6,5,4,3,8,1,7]=>0111010=>[2,1,1,2,2] [7,6,1,4,3,2,8,5]=>1101101=>[1,1,2,1,2,1] [7,1,5,4,3,2,8,6]=>1011101=>[1,2,1,1,2,1] [3,4,2,6,7,8,1,5]=>0100010=>[2,4,2] [3,1,4,2,6,8,7,5]=>1010011=>[1,2,3,1,1] [8,3,4,2,6,1,7,5]=>1010101=>[1,2,2,2,1] [2,6,7,3,5,4,1,8]=>0010110=>[3,2,1,2] [2,7,8,3,5,4,1,6]=>0010110=>[3,2,1,2] [2,6,8,3,5,4,1,7]=>0010110=>[3,2,1,2] [4,7,1,2,8,5,3,6]=>0100110=>[2,3,1,2] [4,8,1,2,7,5,3,6]=>0100110=>[2,3,1,2] [2,1,6,3,7,5,4,8]=>1010110=>[1,2,2,1,2] [2,7,1,3,6,8,4,5]=>0100010=>[2,4,2] [6,7,3,2,8,1,4,5]=>0110100=>[2,1,2,3] [7,3,4,2,6,1,8,5]=>1010101=>[1,2,2,2,1] [7,4,1,2,8,5,3,6]=>1100110=>[1,1,3,1,2] [8,7,4,2,1,5,3,6]=>1111010=>[1,1,1,1,2,2] [7,4,1,2,6,5,3,8]=>1100110=>[1,1,3,1,2] [7,4,3,1,5,6,8,2]=>1110001=>[1,1,1,4,1] [6,7,4,1,5,8,3,2]=>0110011=>[2,1,3,1,1] [4,7,5,1,6,8,3,2]=>0110011=>[2,1,3,1,1] [4,5,3,1,7,6,8,2]=>0110101=>[2,1,2,2,1] [4,6,1,2,7,5,3,8]=>0100110=>[2,3,1,2] [2,7,1,3,6,5,4,8]=>0100110=>[2,3,1,2] [4,1,8,2,6,5,3,7]=>1010110=>[1,2,2,1,2] [4,6,1,2,8,5,3,7]=>0100110=>[2,3,1,2] [8,4,3,1,5,6,7,2]=>1110001=>[1,1,1,4,1] [4,5,3,1,8,6,7,2]=>0110101=>[2,1,2,2,1] [4,8,5,6,3,1,7,2]=>0101101=>[2,2,1,2,1] [5,1,3,4,8,6,7,2]=>1000101=>[1,4,2,1] [5,4,3,8,1,6,7,2]=>1101001=>[1,1,2,3,1] [8,5,3,4,1,6,7,2]=>1101001=>[1,1,2,3,1] [6,4,8,2,1,5,3,7]=>1011010=>[1,2,1,2,2] [6,7,3,2,5,1,4,8]=>0110100=>[2,1,2,3] [6,8,3,2,5,1,4,7]=>0110100=>[2,1,2,3] [5,7,1,4,6,8,3,2]=>0100011=>[2,4,1,1] [5,1,3,4,7,6,8,2]=>1000101=>[1,4,2,1] [6,1,4,2,7,5,3,8]=>1010110=>[1,2,2,1,2] [5,4,3,7,1,6,8,2]=>1101001=>[1,1,2,3,1] [6,7,5,4,1,8,3,2]=>0111011=>[2,1,1,2,1,1] [7,6,4,2,1,5,3,8]=>1111010=>[1,1,1,1,2,2] [8,2,7,6,5,4,1,3]=>1011110=>[1,2,1,1,1,2] [7,2,8,6,5,4,3,1]=>1011111=>[1,2,1,1,1,1,1] [8,1,9,7,6,5,4,3,2]=>10111111=>[1,2,1,1,1,1,1,1] [2,10,9,8,7,6,5,4,1,3]=>011111110=>[2,1,1,1,1,1,1,2] [9,2,8,7,6,5,4,1,3]=>10111110=>[1,2,1,1,1,1,2] [3,9,8,7,6,5,4,1,2]=>01111110=>[2,1,1,1,1,1,2] [8,7,2,6,5,4,1,3]=>1101110=>[1,1,2,1,1,2] [3,2,8,7,6,5,1,4]=>1011110=>[1,2,1,1,1,2] [4,8,7,6,5,3,1,2]=>0111110=>[2,1,1,1,1,2] [7,8,6,1,5,4,3,2]=>0110111=>[2,1,2,1,1,1] [8,9,1,7,6,5,4,3,2]=>01011111=>[2,2,1,1,1,1,1] [7,3,8,6,5,4,2,1]=>1011111=>[1,2,1,1,1,1,1] [8,2,9,7,6,5,4,3,1]=>10111111=>[1,2,1,1,1,1,1,1] [9,1,10,8,7,6,5,4,3,2]=>101111111=>[1,2,1,1,1,1,1,1,1] [4,8,5,7,6,3,2,1]=>0101111=>[2,2,1,1,1,1] [3,8,7,4,6,5,2,1]=>0110111=>[2,1,2,1,1,1] [2,8,7,6,3,5,4,1]=>0111011=>[2,1,1,2,1,1] [8,5,6,1,3,2,4,7]=>1010100=>[1,2,2,3] [8,6,1,5,3,2,4,7]=>1101100=>[1,1,2,1,3] [7,8,1,5,3,2,4,6]=>0101100=>[2,2,1,3] [8,1,7,5,3,2,4,6]=>1011100=>[1,2,1,1,3] [8,6,1,4,5,2,3,7]=>1100100=>[1,1,3,3] [8,6,3,1,5,2,4,7]=>1110100=>[1,1,1,2,3] [8,4,6,1,5,2,3,7]=>1010100=>[1,2,2,3] [8,6,2,1,5,4,3,7]=>1110110=>[1,1,1,2,1,2] [8,5,2,6,1,4,3,7]=>1101010=>[1,1,2,2,2] [8,5,2,1,7,4,3,6]=>1110110=>[1,1,1,2,1,2] [7,8,2,1,5,4,3,6]=>0110110=>[2,1,2,1,2] [7,8,3,1,5,2,4,6]=>0110100=>[2,1,2,3] [8,2,7,5,1,3,4,6]=>1011000=>[1,2,1,4] [8,4,1,7,5,2,3,6]=>1101100=>[1,1,2,1,3] [8,2,7,1,5,4,3,6]=>1010110=>[1,2,2,1,2] [8,2,6,1,7,4,3,5]=>1010110=>[1,2,2,1,2] [8,1,7,4,3,2,6,5]=>1011101=>[1,2,1,1,2,1] [8,1,5,7,3,2,6,4]=>1001101=>[1,3,1,2,1] [5,7,8,1,3,2,6,4]=>0010101=>[3,2,2,1] [8,2,6,1,5,7,3,4]=>1010010=>[1,2,3,2] [5,8,1,6,7,2,3,4]=>0100100=>[2,3,3] [5,7,6,1,8,2,3,4]=>0110100=>[2,1,2,3] [6,7,2,5,1,8,3,4]=>0101010=>[2,2,2,2] [7,5,1,6,8,2,3,4]=>1100100=>[1,1,3,3] [6,5,7,1,8,2,3,4]=>1010100=>[1,2,2,3] [6,7,3,8,1,2,4,5]=>0101000=>[2,2,4] [7,5,4,1,8,2,3,6]=>1110100=>[1,1,1,2,3] [7,6,1,4,8,2,3,5]=>1100100=>[1,1,3,3] [8,1,6,4,7,2,3,5]=>1010100=>[1,2,2,3] [7,5,8,1,3,2,4,6]=>1010100=>[1,2,2,3] [7,8,4,1,3,2,5,6]=>0110100=>[2,1,2,3] [8,3,7,4,1,2,5,6]=>1011000=>[1,2,1,4] [8,5,1,7,3,2,4,6]=>1101100=>[1,1,2,1,3] [6,8,1,7,3,2,4,5]=>0101100=>[2,2,1,3] [7,1,8,4,3,6,2,5]=>1011010=>[1,2,1,2,2] [7,3,1,8,6,4,2,5]=>1101110=>[1,1,2,1,1,2] [8,3,1,7,4,6,2,5]=>1101010=>[1,1,2,2,2] [8,4,5,1,7,2,3,6]=>1010100=>[1,2,2,3] [5,6,8,1,7,2,3,4]=>0010100=>[3,2,3] [6,5,8,1,2,7,3,4]=>1010010=>[1,2,3,2] [7,3,1,8,5,6,2,4]=>1101010=>[1,1,2,2,2] [6,2,7,8,3,1,5,4]=>1001101=>[1,3,1,2,1] [5,8,1,7,3,2,6,4]=>0101101=>[2,2,1,2,1] [8,4,1,7,3,2,6,5]=>1101101=>[1,1,2,1,2,1] [8,3,4,7,1,2,6,5]=>1001001=>[1,3,3,1] [8,2,7,4,1,3,6,5]=>1011001=>[1,2,1,3,1] [7,4,8,2,1,3,6,5]=>1011001=>[1,2,1,3,1] [7,4,3,8,1,2,6,5]=>1101001=>[1,1,2,3,1] [8,2,3,6,7,1,5,4]=>1000101=>[1,4,2,1] [2,6,8,7,1,5,4,3]=>0011011=>[3,1,2,1,1] [7,8,5,2,3,6,4,1]=>0110011=>[2,1,3,1,1] [8,7,5,2,3,1,6,4]=>1110101=>[1,1,1,2,2,1] [6,8,5,2,3,4,7,1]=>0110001=>[2,1,4,1] [3,5,2,6,8,1,4,7]=>0100100=>[2,3,3] [3,5,2,4,6,8,1,7]=>0100010=>[2,4,2] [2,4,5,7,3,6,8,1]=>0001001=>[4,3,1] [2,4,5,3,6,8,1,7]=>0010010=>[3,3,2] [5,2,4,6,8,1,3,7]=>1000100=>[1,4,3] [5,1,3,4,6,8,2,7]=>1000010=>[1,5,2] [4,3,5,2,6,8,1,7]=>1010010=>[1,2,3,2] [4,3,5,7,2,8,1,6]=>1001010=>[1,3,2,2] [4,3,5,7,2,6,8,1]=>1001001=>[1,3,3,1] [4,6,3,7,2,5,8,1]=>0101001=>[2,2,3,1] [4,6,3,1,7,8,2,5]=>0110010=>[2,1,3,2] [4,3,5,1,7,8,2,6]=>1010010=>[1,2,3,2] [5,7,1,3,4,8,2,6]=>0100010=>[2,4,2] [5,7,1,3,4,6,8,2]=>0100001=>[2,5,1] [4,5,7,1,3,6,8,2]=>0010001=>[3,4,1] [4,3,6,7,1,5,8,2]=>1001001=>[1,3,3,1] [4,6,3,5,1,7,8,2]=>0101001=>[2,2,3,1] [4,6,3,5,7,2,8,1]=>0100101=>[2,3,2,1] [3,5,6,4,1,7,8,2]=>0011001=>[3,1,3,1] [3,1,5,6,7,4,8,2]=>1000101=>[1,4,2,1] [5,1,6,7,3,4,8,2]=>1001001=>[1,3,3,1] [6,4,7,1,3,5,8,2]=>1010001=>[1,2,4,1] [1,6,7,3,4,5,8,2]=>0010001=>[3,4,1] [2,6,7,4,5,8,1,3]=>0010010=>[3,3,2] [2,6,7,4,8,1,3,5]=>0010100=>[3,2,3] [5,3,6,1,2,7,8,4]=>1010001=>[1,2,4,1] [3,5,2,6,1,7,8,4]=>0101001=>[2,2,3,1] [3,5,2,6,7,4,8,1]=>0100101=>[2,3,2,1] [5,2,3,6,7,4,8,1]=>1000101=>[1,4,2,1] [5,2,3,6,1,7,8,4]=>1001001=>[1,3,3,1] [5,2,6,1,3,7,8,4]=>1010001=>[1,2,4,1] [4,2,6,7,3,5,8,1]=>1001001=>[1,3,3,1] [6,3,7,2,4,5,8,1]=>1010001=>[1,2,4,1] [3,5,7,2,8,1,4,6]=>0010100=>[3,2,3] [3,7,2,4,8,1,5,6]=>0100100=>[2,3,3] [7,2,4,6,8,1,3,5]=>1000100=>[1,4,3] [7,1,3,4,6,8,2,5]=>1000010=>[1,5,2] [3,7,2,4,6,8,1,5]=>0100010=>[2,4,2] [3,5,7,2,6,8,1,4]=>0010010=>[3,3,2] [6,3,7,2,5,8,1,4]=>1010010=>[1,2,3,2] [6,3,5,7,2,8,1,4]=>1001010=>[1,3,2,2] [6,3,5,7,2,4,8,1]=>1001001=>[1,3,3,1] [6,2,4,5,7,3,8,1]=>1000101=>[1,4,2,1] [6,2,4,5,1,7,8,3]=>1001001=>[1,3,3,1] [4,7,1,2,5,6,8,3]=>0100001=>[2,5,1] [2,6,7,5,8,1,3,4]=>0010100=>[3,2,3] [4,6,7,1,2,5,8,3]=>0010001=>[3,4,1] [5,6,2,4,7,3,8,1]=>0100101=>[2,3,2,1] [5,4,2,6,7,3,8,1]=>1100101=>[1,1,3,2,1] [5,4,2,6,1,7,8,3]=>1101001=>[1,1,2,3,1] [1,5,4,6,2,7,8,3]=>0101001=>[2,2,3,1] [5,6,4,1,2,7,8,3]=>0110001=>[2,1,4,1] [6,4,5,1,2,7,8,3]=>1010001=>[1,2,4,1] [6,3,5,1,7,8,2,4]=>1010010=>[1,2,3,2] [6,5,7,2,8,1,3,4]=>1010100=>[1,2,2,3] [6,5,7,1,3,4,8,2]=>1010001=>[1,2,4,1] [5,6,4,7,1,3,8,2]=>0101001=>[2,2,3,1] [5,4,6,3,1,7,8,2]=>1011001=>[1,2,1,3,1] [7,5,3,2,4,8,1,6]=>1110010=>[1,1,1,3,2] [8,4,5,2,6,1,3,7]=>1010100=>[1,2,2,3] [8,5,4,2,1,6,3,7]=>1111010=>[1,1,1,1,2,2] [8,5,3,4,1,6,2,7]=>1101010=>[1,1,2,2,2] [8,4,5,3,1,6,2,7]=>1011010=>[1,2,1,2,2] [7,5,4,2,1,8,3,6]=>1111010=>[1,1,1,1,2,2] [7,5,4,2,1,6,8,3]=>1111001=>[1,1,1,1,3,1] [7,4,5,3,1,6,8,2]=>1011001=>[1,2,1,3,1] [7,4,3,5,6,1,8,2]=>1100101=>[1,1,3,2,1] [5,6,3,7,4,1,8,2]=>0101101=>[2,2,1,2,1] [5,6,7,3,1,4,8,2]=>0011001=>[3,1,3,1] [6,7,3,4,1,5,8,2]=>0101001=>[2,2,3,1] [6,7,4,2,1,5,8,3]=>0111001=>[2,1,1,3,1] [5,6,7,3,1,8,2,4]=>0011010=>[3,1,2,2] [5,6,3,7,8,1,2,4]=>0100100=>[2,3,3] [5,6,3,7,2,4,8,1]=>0101001=>[2,2,3,1] [5,6,7,2,3,8,1,4]=>0010010=>[3,3,2] [7,4,5,2,8,1,3,6]=>1010100=>[1,2,2,3] [6,7,3,2,4,8,1,5]=>0110010=>[2,1,3,2] [7,6,4,2,1,3,8,5]=>1111001=>[1,1,1,1,3,1] [7,6,3,4,1,2,8,5]=>1101001=>[1,1,2,3,1] [7,6,3,2,4,1,8,5]=>1110101=>[1,1,1,2,2,1] [6,7,3,2,5,1,8,4]=>0110101=>[2,1,2,2,1] [6,5,3,2,7,8,1,4]=>1110010=>[1,1,1,3,2] [6,5,3,2,7,4,8,1]=>1110101=>[1,1,1,2,2,1] [6,4,5,2,7,3,8,1]=>1010101=>[1,2,2,2,1] [6,4,5,2,7,8,1,3]=>1010010=>[1,2,3,2] [7,4,5,2,6,1,8,3]=>1010101=>[1,2,2,2,1] [7,4,5,6,1,2,8,3]=>1001001=>[1,3,3,1] [7,5,6,2,1,3,8,4]=>1011001=>[1,2,1,3,1] [6,7,3,5,1,2,8,4]=>0101001=>[2,2,3,1] [5,6,7,4,1,2,8,3]=>0011001=>[3,1,3,1] [5,6,7,2,4,1,8,3]=>0010101=>[3,2,2,1] [5,6,4,2,7,8,1,3]=>0110010=>[2,1,3,2] [6,5,7,2,1,8,3,4]=>1011010=>[1,2,1,2,2] [6,5,7,2,1,4,8,3]=>1011001=>[1,2,1,3,1] [5,4,6,7,3,1,8,2]=>1001101=>[1,3,1,2,1] [5,7,8,3,6,4,1,2]=>0010110=>[3,2,1,2] [3,7,8,5,6,4,1,2]=>0010110=>[3,2,1,2] [3,7,8,5,6,1,4,2]=>0010101=>[3,2,2,1] [1,7,8,5,6,3,4,2]=>0010101=>[3,2,2,1] [1,7,5,8,6,3,4,2]=>0101101=>[2,2,1,2,1] [3,7,5,8,6,1,4,2]=>0101101=>[2,2,1,2,1] [3,7,5,8,6,4,1,2]=>0101110=>[2,2,1,1,2] [5,7,3,8,6,4,1,2]=>0101110=>[2,2,1,1,2] [7,3,8,5,6,4,1,2]=>1010110=>[1,2,2,1,2] [7,3,5,8,6,4,1,2]=>1001110=>[1,3,1,1,2] [3,5,7,8,6,4,1,2]=>0001110=>[4,1,1,2] [1,5,7,8,6,3,4,2]=>0001101=>[4,1,2,1] [1,5,7,8,3,6,4,2]=>0001011=>[4,2,1,1] [3,5,7,8,1,6,4,2]=>0001011=>[4,2,1,1] [5,3,7,8,1,6,4,2]=>1001011=>[1,3,2,1,1] [7,3,5,8,6,1,4,2]=>1001101=>[1,3,1,2,1] [7,3,8,5,6,1,4,2]=>1010101=>[1,2,2,2,1] [7,8,1,5,6,3,4,2]=>0100101=>[2,3,2,1] [7,1,8,5,6,3,4,2]=>1010101=>[1,2,2,2,1] [7,1,5,8,6,3,4,2]=>1001101=>[1,3,1,2,1] [5,1,7,8,3,6,4,2]=>1001011=>[1,3,2,1,1] [3,1,7,8,5,6,4,2]=>1001011=>[1,3,2,1,1] [1,3,7,8,5,6,4,2]=>0001011=>[4,2,1,1] [3,1,7,5,8,6,4,2]=>1010111=>[1,2,2,1,1,1] [5,1,7,3,8,6,4,2]=>1010111=>[1,2,2,1,1,1] [7,1,5,3,8,6,4,2]=>1010111=>[1,2,2,1,1,1] [7,1,5,8,3,6,4,2]=>1001011=>[1,3,2,1,1] [7,8,1,5,3,6,4,2]=>0101011=>[2,2,2,1,1] [7,8,3,5,1,6,4,2]=>0101011=>[2,2,2,1,1] [7,3,5,8,1,6,4,2]=>1001011=>[1,3,2,1,1] [5,3,7,1,8,6,4,2]=>1010111=>[1,2,2,1,1,1] [3,5,7,1,8,6,4,2]=>0010111=>[3,2,1,1,1] [1,7,5,3,8,6,4,2]=>0110111=>[2,1,2,1,1,1] [5,7,3,1,8,6,4,2]=>0110111=>[2,1,2,1,1,1] [5,7,3,8,6,1,4,2]=>0101101=>[2,2,1,2,1] [3,7,5,8,1,6,4,2]=>0101011=>[2,2,2,1,1] [1,7,5,8,3,6,4,2]=>0101011=>[2,2,2,1,1] [1,7,8,5,3,6,4,2]=>0011011=>[3,1,2,1,1] [3,7,8,5,1,6,4,2]=>0011011=>[3,1,2,1,1] [5,7,8,3,6,1,4,2]=>0010101=>[3,2,2,1] [5,7,8,6,3,1,4,2]=>0011101=>[3,1,1,2,1] [7,5,8,6,1,3,4,2]=>1011001=>[1,2,1,3,1] [5,7,8,1,6,3,4,2]=>0010101=>[3,2,2,1] [5,7,8,1,3,6,4,2]=>0010011=>[3,3,1,1] [3,7,8,1,5,6,4,2]=>0010011=>[3,3,1,1] [1,7,8,3,5,6,4,2]=>0010011=>[3,3,1,1] [1,7,3,8,5,6,4,2]=>0101011=>[2,2,2,1,1] [3,7,1,8,5,6,4,2]=>0101011=>[2,2,2,1,1] [5,7,1,8,3,6,4,2]=>0101011=>[2,2,2,1,1] [5,7,1,8,6,3,4,2]=>0101101=>[2,2,1,2,1] [7,5,1,8,6,3,4,2]=>1101101=>[1,1,2,1,2,1] [7,5,8,1,6,3,4,2]=>1010101=>[1,2,2,2,1] [7,8,5,1,6,3,4,2]=>0110101=>[2,1,2,2,1] [7,8,5,1,3,6,4,2]=>0110011=>[2,1,3,1,1] [7,5,8,1,3,6,4,2]=>1010011=>[1,2,3,1,1] [7,5,1,8,3,6,4,2]=>1101011=>[1,1,2,2,1,1] [7,5,1,3,8,6,4,2]=>1100111=>[1,1,3,1,1,1] [5,7,1,3,8,6,4,2]=>0100111=>[2,3,1,1,1] [3,7,1,5,8,6,4,2]=>0100111=>[2,3,1,1,1] [1,7,3,5,8,6,4,2]=>0100111=>[2,3,1,1,1] [1,5,3,7,8,6,4,2]=>0100111=>[2,3,1,1,1] [3,5,1,7,8,6,4,2]=>0100111=>[2,3,1,1,1] [5,3,1,7,8,6,4,2]=>1100111=>[1,1,3,1,1,1] [7,3,1,5,8,6,4,2]=>1100111=>[1,1,3,1,1,1] [7,3,1,8,5,6,4,2]=>1101011=>[1,1,2,2,1,1] [7,3,8,1,5,6,4,2]=>1010011=>[1,2,3,1,1] [7,8,3,1,5,6,4,2]=>0110011=>[2,1,3,1,1] [7,8,1,3,5,6,4,2]=>0100011=>[2,4,1,1] [7,1,8,3,5,6,4,2]=>1010011=>[1,2,3,1,1] [7,1,3,8,5,6,4,2]=>1001011=>[1,3,2,1,1] [7,1,3,5,8,6,4,2]=>1000111=>[1,4,1,1,1] [3,1,5,7,8,6,4,2]=>1000111=>[1,4,1,1,1] [5,7,3,4,6,8,1,2]=>0100010=>[2,4,2] [5,7,3,4,8,6,1,2]=>0100110=>[2,3,1,2] [5,7,3,4,8,1,6,2]=>0100101=>[2,3,2,1] [5,7,3,4,1,8,6,2]=>0101011=>[2,2,2,1,1] [5,7,3,4,1,6,8,2]=>0101001=>[2,2,3,1] [5,7,3,4,6,1,2,8]=>0100100=>[2,3,3] [7,3,5,6,1,2,8,4]=>1001001=>[1,3,3,1] [5,7,3,1,4,6,2,8]=>0110010=>[2,1,3,2] [5,7,3,1,4,6,8,2]=>0110001=>[2,1,4,1] [5,7,3,1,4,8,6,2]=>0110011=>[2,1,3,1,1] [5,7,3,1,4,8,2,6]=>0110010=>[2,1,3,2] [5,3,7,4,1,2,8,6]=>1011001=>[1,2,1,3,1] [5,3,7,4,1,2,6,8]=>1011000=>[1,2,1,4] [5,3,7,1,4,2,6,8]=>1010100=>[1,2,2,3] [5,3,7,1,4,2,8,6]=>1010101=>[1,2,2,2,1] [3,7,5,1,2,8,6,4]=>0110011=>[2,1,3,1,1] [7,8,3,5,1,2,6,4]=>0101001=>[2,2,3,1] [7,3,8,5,1,2,6,4]=>1011001=>[1,2,1,3,1] [7,3,5,8,1,2,6,4]=>1001001=>[1,3,3,1] [3,7,5,1,2,6,4,8]=>0110010=>[2,1,3,2] [3,7,5,1,2,6,8,4]=>0110001=>[2,1,4,1] [6,1,4,3,5,2,8,7]=>1010101=>[1,2,2,2,1] [2,5,7,3,8,4,1,6]=>0010110=>[3,2,1,2] [5,4,7,8,6,1,3,2]=>1001101=>[1,3,1,2,1] [7,5,6,2,8,3,1,4]=>1010110=>[1,2,2,1,2] [4,7,2,5,8,3,1,6]=>0100110=>[2,3,1,2] [6,2,4,5,1,3,8,7]=>1001001=>[1,3,3,1] [5,1,4,6,3,2,8,7]=>1001101=>[1,3,1,2,1] [3,5,6,2,4,1,8,7]=>0010101=>[3,2,2,1] [3,8,6,7,5,4,1,2]=>0101110=>[2,2,1,1,2] [6,2,7,8,3,4,1,5]=>1001010=>[1,3,2,2] [2,5,3,4,8,1,7,6]=>0100101=>[2,3,2,1] [8,7,1,2,5,3,4,6]=>1100100=>[1,1,3,3] [5,1,8,2,3,4,7,6]=>1010001=>[1,2,4,1] [5,4,7,6,2,8,1,3]=>1011010=>[1,2,1,2,2] [3,7,8,1,5,4,6,2]=>0010101=>[3,2,2,1] [7,1,3,4,6,8,5,2]=>1000011=>[1,5,1,1] [8,3,6,5,7,1,4,2]=>1010101=>[1,2,2,2,1] [5,8,7,1,4,6,2,3]=>0110010=>[2,1,3,2] [4,7,6,1,8,3,5,2]=>0110101=>[2,1,2,2,1] [4,7,2,6,3,8,5,1]=>0101011=>[2,2,2,1,1] [2,1,8,4,6,7,3,5]=>1010010=>[1,2,3,2] [4,7,8,6,3,1,2,5]=>0011100=>[3,1,1,3] [3,8,1,5,6,7,2,4]=>0100010=>[2,4,2] [6,7,2,4,8,5,3,1]=>0100111=>[2,3,1,1,1] [2,8,3,6,7,5,1,4]=>0100110=>[2,3,1,2] [8,2,1,7,6,3,5,4]=>1101101=>[1,1,2,1,2,1] [3,2,4,5,8,1,7,6]=>1000101=>[1,4,2,1] [7,4,6,3,2,1,8,5]=>1011101=>[1,2,1,1,2,1] [4,7,3,2,1,8,6,5]=>0111011=>[2,1,1,2,1,1] [6,4,7,5,2,3,8,1]=>1011001=>[1,2,1,3,1] [6,4,8,1,7,3,2,5]=>1010110=>[1,2,2,1,2] [4,8,7,2,3,1,5,6]=>0110100=>[2,1,2,3] [4,2,3,1,8,7,5,6]=>1010110=>[1,2,2,1,2] [7,6,8,1,3,5,2,4]=>1010010=>[1,2,3,2] [6,7,5,2,3,1,8,4]=>0110101=>[2,1,2,2,1] [4,7,2,6,5,1,8,3]=>0101101=>[2,2,1,2,1] [6,4,2,1,8,5,7,3]=>1110101=>[1,1,1,2,2,1] [7,2,1,5,6,8,4,3]=>1100011=>[1,1,4,1,1] [8,7,2,6,4,1,5,3]=>1101101=>[1,1,2,1,2,1] [6,7,8,2,5,3,1,4]=>0010110=>[3,2,1,2] [2,1,7,3,6,8,5,4]=>1010011=>[1,2,3,1,1] [2,1,5,7,8,4,6,3]=>1000101=>[1,4,2,1] [2,5,7,8,3,6,1,4]=>0001010=>[4,2,2] [6,4,1,5,7,2,8,3]=>1100101=>[1,1,3,2,1] [7,4,8,1,2,5,6,3]=>1010001=>[1,2,4,1] [4,2,7,8,6,3,5,1]=>1001101=>[1,3,1,2,1] [6,1,7,4,3,2,8,5]=>1011101=>[1,2,1,1,2,1] [6,8,3,4,2,1,7,5]=>0101101=>[2,2,1,2,1] [4,2,6,1,5,7,8,3]=>1010001=>[1,2,4,1] [2,4,6,7,3,5,8,1]=>0001001=>[4,3,1] [6,5,8,3,7,4,1,2]=>1010110=>[1,2,2,1,2] [7,1,4,8,3,5,6,2]=>1001001=>[1,3,3,1] [6,8,7,5,3,4,1,2]=>0111010=>[2,1,1,2,2] [4,8,6,3,1,5,7,2]=>0111001=>[2,1,1,3,1] [3,4,8,2,5,7,6,1]=>0010011=>[3,3,1,1] [3,5,7,2,8,6,1,4]=>0010110=>[3,2,1,2] [2,5,7,4,8,6,1,3]=>0010110=>[3,2,1,2] [2,6,3,7,5,1,8,4]=>0101101=>[2,2,1,2,1] [2,6,4,8,7,5,1,3]=>0101110=>[2,2,1,1,2] [6,3,7,2,8,5,1,4]=>1010110=>[1,2,2,1,2] [3,6,2,5,8,7,1,4]=>0100110=>[2,3,1,2] [5,2,8,4,7,6,1,3]=>1010110=>[1,2,2,1,2] [7,2,4,8,6,5,1,3]=>1001110=>[1,3,1,1,2] [6,2,4,8,7,5,1,3]=>1001110=>[1,3,1,1,2] [2,4,5,8,7,6,1,3]=>0001110=>[4,1,1,2] [4,2,7,3,8,1,6,5]=>1010101=>[1,2,2,2,1] [2,5,1,4,7,3,8,6]=>0100101=>[2,3,2,1] [6,1,3,8,7,2,5,4]=>1001101=>[1,3,1,2,1] [3,1,5,6,2,8,7,4]=>1001011=>[1,3,2,1,1] [4,1,5,2,8,7,6,3]=>1010111=>[1,2,2,1,1,1] [7,1,4,2,8,6,5,3]=>1010111=>[1,2,2,1,1,1] [4,1,5,3,2,8,7,6]=>1011011=>[1,2,1,2,1,1] [7,2,3,5,1,8,6,4]=>1001011=>[1,3,2,1,1] [3,4,5,1,8,7,6,2]=>0010111=>[3,2,1,1,1] [1,4,5,2,8,7,6,3]=>0010111=>[3,2,1,1,1] [1,6,4,2,8,7,5,3]=>0110111=>[2,1,2,1,1,1] [5,6,3,1,8,7,4,2]=>0110111=>[2,1,2,1,1,1] [7,4,2,5,1,8,6,3]=>1101011=>[1,1,2,2,1,1] [5,3,6,2,8,1,7,4]=>1010101=>[1,2,2,2,1] [4,6,2,7,5,1,8,3]=>0101101=>[2,2,1,2,1] [1,5,3,6,2,8,7,4]=>0101011=>[2,2,2,1,1] [1,5,8,3,2,7,6,4]=>0011011=>[3,1,2,1,1] [4,5,8,2,1,7,6,3]=>0011011=>[3,1,2,1,1] [3,6,2,5,1,4,8,7]=>0101001=>[2,2,3,1] [5,2,8,4,1,3,7,6]=>1011001=>[1,2,1,3,1] [2,4,8,7,1,3,6,5]=>0011001=>[3,1,3,1] [1,3,8,2,4,7,6,5]=>0010011=>[3,3,1,1] [6,3,1,7,2,8,5,4]=>1101011=>[1,1,2,2,1,1] [7,5,1,2,8,6,4,3]=>1100111=>[1,1,3,1,1,1] [1,5,2,3,8,7,6,4]=>0100111=>[2,3,1,1,1] [4,5,1,2,8,7,6,3]=>0100111=>[2,3,1,1,1] [6,4,1,2,8,7,5,3]=>1100111=>[1,1,3,1,1,1] [5,3,1,7,2,8,6,4]=>1101011=>[1,1,2,2,1,1] [5,2,8,1,3,7,6,4]=>1010011=>[1,2,3,1,1] [4,7,5,6,8,3,1,2]=>0100110=>[2,3,1,2] [8,6,4,7,5,3,1,2]=>1101110=>[1,1,2,1,1,2] [1,6,3,7,5,8,4,2]=>0101011=>[2,2,2,1,1] [1,3,7,4,5,8,6,2]=>0010011=>[3,3,1,1] [6,8,4,7,5,3,1,2]=>0101110=>[2,2,1,1,2] [4,8,7,5,6,3,1,2]=>0110110=>[2,1,2,1,2] [8,6,5,2,1,4,3,7]=>1111010=>[1,1,1,1,2,2] [2,7,6,3,1,4,5,8]=>0111000=>[2,1,1,4] [2,7,6,4,5,1,3,8]=>0110100=>[2,1,2,3] [5,7,2,6,4,1,3,8]=>0101100=>[2,2,1,3] [1,8,2,7,3,6,5,4]=>0101011=>[2,2,2,1,1] [2,1,3,8,4,7,5,6]=>1001010=>[1,3,2,2] [8,1,2,7,4,3,6,5]=>1001101=>[1,3,1,2,1] [8,7,2,1,5,4,3,6]=>1110110=>[1,1,1,2,1,2] [2,4,8,3,1,5,6,7]=>0011000=>[3,1,4] [4,7,3,8,2,1,5,6]=>0101100=>[2,2,1,3] [5,2,7,3,1,4,6,8]=>1011000=>[1,2,1,4] [8,3,7,2,1,5,4,6]=>1011010=>[1,2,1,2,2] [2,6,4,5,7,1,3,8]=>0100100=>[2,3,3] [7,6,3,1,8,4,5,2]=>1110101=>[1,1,1,2,2,1] [1,7,5,8,6,4,3,2]=>0101111=>[2,2,1,1,1,1] [6,5,1,2,8,3,7,4]=>1100101=>[1,1,3,2,1] [6,8,4,1,3,7,5,2]=>0110011=>[2,1,3,1,1] [5,8,3,1,7,4,6,2]=>0110101=>[2,1,2,2,1] [8,3,1,7,5,4,6,2]=>1101101=>[1,1,2,1,2,1] [1,2,8,7,6,3,5,4]=>0011101=>[3,1,1,2,1] [2,3,1,8,7,4,5,6]=>0101100=>[2,2,1,3] [2,4,1,8,5,7,3,6]=>0101010=>[2,2,2,2] [5,8,2,1,7,6,3,4]=>0110110=>[2,1,2,1,2] [6,2,7,1,8,5,3,4]=>1010110=>[1,2,2,1,2] [8,7,1,6,5,4,3,2]=>1101111=>[1,1,2,1,1,1,1] [7,1,8,3,6,5,4,2]=>1010111=>[1,2,2,1,1,1] [8,1,2,3,4,5,9,6,7]=>10000010=>[1,6,2] [8,1,2,3,4,9,5,6,7]=>10000100=>[1,5,3] [8,1,2,9,3,4,5,6,7]=>10010000=>[1,3,5] [8,1,9,2,3,4,5,6,7]=>10100000=>[1,2,6] [6,1,2,3,4,5,8,9,7]=>10000001=>[1,7,1] [9,1,2,3,4,5,6,10,7,8]=>100000010=>[1,7,2] [5,1,2,3,4,8,9,6,7]=>10000010=>[1,6,2] [9,1,2,3,4,5,10,6,7,8]=>100000100=>[1,6,3] [4,1,2,3,8,9,5,6,7]=>10000100=>[1,5,3] [3,1,2,8,9,4,5,6,7]=>10001000=>[1,4,4] [9,1,2,3,10,4,5,6,7,8]=>100010000=>[1,4,5] [2,1,8,9,3,4,5,6,7]=>10010000=>[1,3,5] [9,1,2,10,3,4,5,6,7,8]=>100100000=>[1,3,6] [3,5,8,7,2,6,4,1]=>0011011=>[3,1,2,1,1] [5,8,2,7,1,6,4,3]=>0101011=>[2,2,2,1,1] [2,1,6,4,5,8,3,7]=>1010010=>[1,2,3,2] [8,6,3,7,5,2,1,4]=>1101110=>[1,1,2,1,1,2] [4,6,3,8,5,2,1,7]=>0101110=>[2,2,1,1,2] [4,6,3,7,5,2,8,1]=>0101101=>[2,2,1,2,1] [3,5,7,8,2,6,1,4]=>0001010=>[4,2,2] [7,2,3,4,6,8,5,1]=>1000011=>[1,5,1,1] [4,2,3,6,1,5,8,7]=>1001001=>[1,3,3,1] [4,8,3,7,5,1,6,2]=>0101101=>[2,2,1,2,1] [5,2,3,4,8,7,1,6]=>1000110=>[1,4,1,2] [5,2,3,4,6,8,1,7]=>1000010=>[1,5,2] [4,2,8,5,7,6,1,3]=>1010110=>[1,2,2,1,2] [3,7,6,4,5,1,8,2]=>0110101=>[2,1,2,2,1] [3,8,6,4,5,1,2,7]=>0110100=>[2,1,2,3] [4,8,3,7,5,2,1,6]=>0101110=>[2,2,1,1,2] [8,7,3,6,5,1,2,4]=>1101100=>[1,1,2,1,3] [4,2,7,5,8,6,3,1]=>1010111=>[1,2,2,1,1,1] [5,8,1,7,3,6,4,2]=>0101011=>[2,2,2,1,1] [5,2,7,8,4,6,3,1]=>1001011=>[1,3,2,1,1] [5,2,8,3,7,6,1,4]=>1010110=>[1,2,2,1,2] [8,2,7,3,1,6,4,5]=>1011010=>[1,2,1,2,2] [6,2,3,4,8,5,1,7]=>1000110=>[1,4,1,2] [6,2,3,4,1,8,5,7]=>1001010=>[1,3,2,2] [7,2,3,4,1,8,6,5]=>1001011=>[1,3,2,1,1] [7,2,3,4,1,5,8,6]=>1001001=>[1,3,3,1] [1,2,3,4,8,7,5,6]=>0000110=>[5,1,2] [1,2,8,5,3,4,6,7]=>0011000=>[3,1,4] [1,8,4,2,3,5,6,7]=>0110000=>[2,1,5] [8,6,7,4,1,5,3,2]=>1011011=>[1,2,1,2,1,1] [4,8,6,7,5,1,3,2]=>0101101=>[2,2,1,2,1] [7,1,8,4,6,5,2,3]=>1010110=>[1,2,2,1,2] [8,7,1,5,4,6,2,3]=>1101010=>[1,1,2,2,2] [8,5,7,1,4,6,3,2]=>1010011=>[1,2,3,1,1] [6,4,8,5,1,7,3,2]=>1011011=>[1,2,1,2,1,1] [4,8,5,7,1,6,3,2]=>0101011=>[2,2,2,1,1] [8,4,7,1,5,6,3,2]=>1010011=>[1,2,3,1,1] [8,7,1,4,5,6,3,2]=>1100011=>[1,1,4,1,1] [8,7,4,5,6,1,3,2]=>1100101=>[1,1,3,2,1] [8,7,5,1,4,6,2,3]=>1110010=>[1,1,1,3,2] [8,7,2,5,1,4,6,3]=>1101001=>[1,1,2,3,1] [4,8,7,2,5,1,6,3]=>0110101=>[2,1,2,2,1] [1,6,4,8,5,2,7,3]=>0101101=>[2,2,1,2,1] [8,7,1,4,2,5,6,3]=>1101001=>[1,1,2,3,1] [8,7,5,1,2,4,6,3]=>1110001=>[1,1,1,4,1] [7,1,8,5,6,2,3,4]=>1010100=>[1,2,2,3] [3,8,7,1,2,5,6,4]=>0110001=>[2,1,4,1] [3,5,8,7,1,2,6,4]=>0011001=>[3,1,3,1] [2,3,8,5,7,1,6,4]=>0010101=>[3,2,2,1] [3,8,7,1,5,6,2,4]=>0110010=>[2,1,3,2] [3,5,8,7,1,6,2,4]=>0011010=>[3,1,2,2] [2,3,8,6,7,5,1,4]=>0010110=>[3,2,1,2] [3,2,8,6,7,5,1,4]=>1010110=>[1,2,2,1,2] [4,1,8,6,2,7,5,3]=>1011011=>[1,2,1,2,1,1] [8,7,4,1,2,6,5,3]=>1110011=>[1,1,1,3,1,1] [1,3,8,6,7,5,2,4]=>0010110=>[3,2,1,2] [5,7,1,8,2,6,3,4]=>0101010=>[2,2,2,2] [2,8,7,1,5,6,3,4]=>0110010=>[2,1,3,2] [8,7,1,5,2,4,6,3]=>1101001=>[1,1,2,3,1] [7,1,8,2,4,6,5,3]=>1010011=>[1,2,3,1,1] [1,6,2,8,4,7,5,3]=>0101011=>[2,2,2,1,1] [1,3,8,5,7,2,6,4]=>0010101=>[3,2,2,1] [1,8,3,7,2,5,6,4]=>0101001=>[2,2,3,1] [2,8,7,1,3,5,6,4]=>0110001=>[2,1,4,1] [5,7,1,8,2,3,6,4]=>0101001=>[2,2,3,1] [7,1,8,2,3,5,6,4]=>1010001=>[1,2,4,1] [8,6,3,7,4,1,5,2]=>1101101=>[1,1,2,1,2,1] [4,2,8,6,7,5,1,3]=>1010110=>[1,2,2,1,2] [8,4,2,7,5,6,1,3]=>1101010=>[1,1,2,2,2] [4,8,3,6,1,7,5,2]=>0101011=>[2,2,2,1,1] [8,3,4,7,5,1,6,2]=>1001101=>[1,3,1,2,1] [8,3,7,4,5,1,6,2]=>1010101=>[1,2,2,2,1] [8,7,4,2,5,6,1,3]=>1110010=>[1,1,1,3,2] [8,7,5,1,6,2,3,4]=>1110100=>[1,1,1,2,3] [8,7,2,4,1,5,6,3]=>1101001=>[1,1,2,3,1] [4,8,6,1,7,2,5,3]=>0110101=>[2,1,2,2,1] [4,7,1,8,2,6,5,3]=>0101011=>[2,2,2,1,1] [4,2,8,6,7,1,5,3]=>1010101=>[1,2,2,2,1] [8,7,4,1,2,5,6,3]=>1110001=>[1,1,1,4,1] [8,2,7,1,6,3,4,5]=>1010100=>[1,2,2,3] [8,2,7,1,3,6,4,5]=>1010010=>[1,2,3,2] [2,8,3,6,7,1,5,4]=>0100101=>[2,3,2,1] [8,7,2,1,3,5,6,4]=>1110001=>[1,1,1,4,1] [1,8,7,2,3,6,4,5]=>0110010=>[2,1,3,2] [1,8,7,2,6,3,4,5]=>0110100=>[2,1,2,3] [8,2,7,3,6,1,4,5]=>1010100=>[1,2,2,3] [1,8,7,3,6,2,4,5]=>0110100=>[2,1,2,3] [1,8,2,7,6,3,4,5]=>0101100=>[2,2,1,3] [8,2,7,4,1,5,6,3]=>1011001=>[1,2,1,3,1] [8,2,1,7,5,6,3,4]=>1101010=>[1,1,2,2,2] [8,7,3,1,5,6,2,4]=>1110010=>[1,1,1,3,2] [2,8,7,3,5,6,1,4]=>0110010=>[2,1,3,2] [8,3,1,6,7,5,2,4]=>1100110=>[1,1,3,1,2] [8,5,2,1,6,7,4,3]=>1110011=>[1,1,1,3,1,1] [1,5,2,8,6,7,4,3]=>0101011=>[2,2,2,1,1] [1,2,8,6,7,5,3,4]=>0010110=>[3,2,1,2] [1,8,3,6,7,5,2,4]=>0100110=>[2,3,1,2] [8,2,3,6,7,5,1,4]=>1000110=>[1,4,1,2] [8,3,7,2,5,6,1,4]=>1010010=>[1,2,3,2] [8,1,3,7,5,6,2,4]=>1001010=>[1,3,2,2] [8,4,1,2,7,5,6,3]=>1100101=>[1,1,3,2,1] [8,1,4,2,6,7,5,3]=>1010011=>[1,2,3,1,1] [1,2,8,6,7,3,5,4]=>0010101=>[3,2,2,1] [8,1,2,7,3,6,4,5]=>1001010=>[1,3,2,2] [8,1,7,3,6,2,4,5]=>1010100=>[1,2,2,3] [8,1,7,2,6,3,4,5]=>1010100=>[1,2,2,3] [8,1,7,2,3,6,4,5]=>1010010=>[1,2,3,2] [8,1,3,7,2,5,6,4]=>1001001=>[1,3,3,1] [1,8,3,6,7,2,5,4]=>0100101=>[2,3,2,1] [1,7,8,2,3,6,5,4]=>0010011=>[3,3,1,1] [8,3,7,1,2,5,6,4]=>1010001=>[1,2,4,1] [8,7,1,2,3,6,4,5]=>1100010=>[1,1,4,2] [2,8,5,7,4,6,3,1]=>0101011=>[2,2,2,1,1] [3,1,8,5,7,4,2,6]=>1010110=>[1,2,2,1,2] [8,3,5,7,4,2,6,1]=>1001101=>[1,3,1,2,1] [8,3,6,2,4,5,7,1]=>1010001=>[1,2,4,1] [2,8,6,4,3,5,7,1]=>0111001=>[2,1,1,3,1] [2,6,8,3,5,4,7,1]=>0010101=>[3,2,2,1] [2,7,5,8,4,6,3,1]=>0101011=>[2,2,2,1,1] [8,4,2,7,6,1,3,5]=>1101100=>[1,1,2,1,3] [4,8,1,7,6,3,2,5]=>0101110=>[2,2,1,1,2] [4,1,7,6,2,3,5,8]=>1011000=>[1,2,1,4] [3,7,1,8,6,2,5,4]=>0101101=>[2,2,1,2,1] [3,1,7,6,4,5,2,8]=>1011010=>[1,2,1,2,2] [3,1,7,5,8,4,2,6]=>1010110=>[1,2,2,1,2] [3,1,6,8,7,5,2,4]=>1001110=>[1,3,1,1,2] [6,3,8,7,5,2,4,1]=>1011101=>[1,2,1,1,2,1] [7,3,5,8,4,2,6,1]=>1001101=>[1,3,1,2,1] [7,3,6,4,2,8,5,1]=>1011011=>[1,2,1,2,1,1] [7,8,3,6,2,5,4,1]=>0101011=>[2,2,2,1,1] [7,4,8,2,1,6,3,5]=>1011010=>[1,2,1,2,2] [8,7,4,6,3,2,5,1]=>1101101=>[1,1,2,1,2,1] [7,8,5,2,1,4,3,6]=>0111010=>[2,1,1,2,2] [7,5,2,3,1,4,8,6]=>1101001=>[1,1,2,3,1] [7,4,6,2,3,8,1,5]=>1010010=>[1,2,3,2] [6,4,2,5,8,3,7,1]=>1100101=>[1,1,3,2,1] [4,6,5,8,1,3,2,7]=>0101010=>[2,2,2,2] [4,7,1,5,3,8,2,6]=>0101010=>[2,2,2,2] [4,7,8,1,3,6,2,5]=>0010010=>[3,3,2] [5,7,1,3,4,6,2,8]=>0100010=>[2,4,2] [5,7,1,4,2,3,6,8]=>0101000=>[2,2,4] [5,8,1,3,2,4,6,7]=>0101000=>[2,2,4] [4,8,6,1,3,2,7,5]=>0110101=>[2,1,2,2,1] [8,4,6,2,1,3,7,5]=>1011001=>[1,2,1,3,1] [5,4,8,7,2,3,6,1]=>1011001=>[1,2,1,3,1] [5,4,8,7,3,1,2,6]=>1011100=>[1,2,1,1,3] [6,8,3,7,2,5,4,1]=>0101011=>[2,2,2,1,1] [5,4,6,8,2,3,7,1]=>1001001=>[1,3,3,1] [5,7,4,2,8,3,6,1]=>0110101=>[2,1,2,2,1] [6,4,7,2,1,8,3,5]=>1011010=>[1,2,1,2,2] [6,5,3,4,1,2,8,7]=>1101001=>[1,1,2,3,1] [6,8,5,4,1,3,2,7]=>0111010=>[2,1,1,2,2] [6,4,3,7,1,5,2,8]=>1101010=>[1,1,2,2,2] [9,8,7,6,5,2,3,1,4]=>11111010=>[1,1,1,1,1,2,2] [9,8,7,6,3,4,2,1,5]=>11110110=>[1,1,1,1,2,1,2] [9,8,7,4,5,3,2,1,6]=>11101110=>[1,1,1,2,1,1,2] [9,8,5,6,4,3,2,1,7]=>11011110=>[1,1,2,1,1,1,2] [9,6,7,5,4,3,2,1,8]=>10111110=>[1,2,1,1,1,1,2] [7,4,2,6,1,5,3,8]=>1101010=>[1,1,2,2,2] [7,4,2,5,6,1,3,8]=>1100100=>[1,1,3,3] [6,4,2,8,1,5,7,3]=>1101001=>[1,1,2,3,1] [6,3,7,8,2,5,1,4]=>1001010=>[1,3,2,2] [7,3,5,6,4,2,1,8]=>1001110=>[1,3,1,1,2] [7,4,3,1,5,6,2,8]=>1110010=>[1,1,1,3,2] [7,4,5,2,6,1,3,8]=>1010100=>[1,2,2,3] [5,3,7,2,8,6,4,1]=>1010111=>[1,2,2,1,1,1] [5,3,8,2,6,7,4,1]=>1010011=>[1,2,3,1,1] [6,3,8,2,5,4,7,1]=>1010101=>[1,2,2,2,1] [6,4,8,2,1,5,7,3]=>1011001=>[1,2,1,3,1] [6,4,3,1,8,2,7,5]=>1110101=>[1,1,1,2,2,1] [5,3,7,8,2,6,4,1]=>1001011=>[1,3,2,1,1] [4,7,8,5,6,3,2,1]=>0010111=>[3,2,1,1,1] [5,3,7,6,8,2,4,1]=>1010101=>[1,2,2,2,1] [5,7,8,4,6,2,1,3]=>0010110=>[3,2,1,2] [5,8,4,3,6,7,1,2]=>0110010=>[2,1,3,2] [5,8,6,4,7,2,1,3]=>0110110=>[2,1,2,1,2] [5,3,8,6,2,7,4,1]=>1011011=>[1,2,1,2,1,1] [4,7,5,8,6,3,2,1]=>0101111=>[2,2,1,1,1,1] [4,8,6,7,5,3,2,1]=>0101111=>[2,2,1,1,1,1] [6,3,8,7,2,4,1,5]=>1011010=>[1,2,1,2,2] [5,3,8,7,2,6,4,1]=>1011011=>[1,2,1,2,1,1] [5,3,8,6,7,2,4,1]=>1010101=>[1,2,2,2,1] [5,3,7,8,6,2,4,1]=>1001101=>[1,3,1,2,1] [5,7,6,4,8,2,1,3]=>0110110=>[2,1,2,1,2] [5,8,4,6,7,2,1,3]=>0100110=>[2,3,1,2] [6,4,2,8,1,7,3,5]=>1101010=>[1,1,2,2,2] [6,5,2,4,3,7,8,1]=>1101001=>[1,1,2,3,1] [5,4,6,2,8,7,1,3]=>1010110=>[1,2,2,1,2] [5,6,3,8,7,2,4,1]=>0101101=>[2,2,1,2,1] [6,7,4,3,1,8,2,5]=>0111010=>[2,1,1,2,2] [5,7,4,3,6,8,1,2]=>0110010=>[2,1,3,2] [5,7,3,8,6,2,4,1]=>0101101=>[2,2,1,2,1] [4,5,8,6,7,3,2,1]=>0010111=>[3,2,1,1,1] [4,6,8,5,7,3,2,1]=>0010111=>[3,2,1,1,1] [5,6,8,3,7,2,4,1]=>0010101=>[3,2,2,1] [5,4,6,8,2,7,1,3]=>1001010=>[1,3,2,2] [5,7,8,2,6,4,1,3]=>0010110=>[3,2,1,2] [1,7,4,8,6,2,3,5]=>0101100=>[2,2,1,3] [3,6,2,5,7,8,1,4]=>0100010=>[2,4,2] [5,2,7,4,6,8,1,3]=>1010010=>[1,2,3,2] [5,3,6,7,1,8,4,2]=>1001011=>[1,3,2,1,1] [4,2,5,6,7,1,8,3]=>1000101=>[1,4,2,1] [8,1,3,6,7,2,4,5]=>1000100=>[1,4,3] [8,1,4,2,5,6,3,7]=>1010010=>[1,2,3,2] [8,1,4,2,7,5,3,6]=>1010110=>[1,2,2,1,2] [6,1,3,8,2,7,4,5]=>1001010=>[1,3,2,2] [7,3,4,1,5,8,6,2]=>1010011=>[1,2,3,1,1] [1,7,5,2,8,6,3,4]=>0110110=>[2,1,2,1,2] [3,7,4,1,8,5,6,2]=>0110101=>[2,1,2,2,1] [5,6,3,1,7,8,4,2]=>0110011=>[2,1,3,1,1] [3,6,4,8,1,5,7,2]=>0101001=>[2,2,3,1] [1,5,8,4,2,6,3,7]=>0011010=>[3,1,2,2] [3,5,7,4,1,6,8,2]=>0011001=>[3,1,3,1] [3,5,7,1,2,6,4,8]=>0010010=>[3,3,2] [4,5,1,8,2,3,7,6]=>0101001=>[2,2,3,1] [4,7,1,8,2,6,3,5]=>0101010=>[2,2,2,2] [7,5,1,2,3,8,6,4]=>1100011=>[1,1,4,1,1] [6,4,1,2,7,3,8,5]=>1100101=>[1,1,3,2,1] [5,2,6,1,3,4,8,7]=>1010001=>[1,2,4,1] [7,8,4,5,1,3,2,6]=>0101010=>[2,2,2,2] [6,7,1,3,2,5,4,8]=>0101010=>[2,2,2,2] [6,7,1,4,3,5,2,8]=>0101010=>[2,2,2,2] [7,8,2,3,1,5,4,6]=>0101010=>[2,2,2,2] [7,8,2,4,3,5,1,6]=>0101010=>[2,2,2,2] [7,8,2,4,1,5,3,6]=>0101010=>[2,2,2,2] [1,4,2,6,5,7,3,8]=>0101010=>[2,2,2,2] [5,6,1,4,2,7,3,8]=>0101010=>[2,2,2,2] [6,7,2,4,1,5,3,8]=>0101010=>[2,2,2,2] [6,7,2,4,3,5,1,8]=>0101010=>[2,2,2,2] [6,7,2,3,1,5,4,8]=>0101010=>[2,2,2,2] [6,7,3,5,4,8,1,2]=>0101010=>[2,2,2,2] [2,4,1,6,5,7,3,8]=>0101010=>[2,2,2,2] [1,5,2,6,4,7,3,8]=>0101010=>[2,2,2,2] [2,5,1,6,4,7,3,8]=>0101010=>[2,2,2,2] [3,6,5,7,4,8,1,2]=>0101010=>[2,2,2,2] [5,6,2,4,3,7,1,8]=>0101010=>[2,2,2,2] [4,5,2,6,1,7,3,8]=>0101010=>[2,2,2,2] [4,5,1,6,3,7,2,8]=>0101010=>[2,2,2,2] [4,5,3,6,1,7,2,8]=>0101010=>[2,2,2,2] [5,6,3,4,1,7,2,8]=>0101010=>[2,2,2,2] [5,6,1,4,3,7,2,8]=>0101010=>[2,2,2,2] [5,6,1,3,2,7,4,8]=>0101010=>[2,2,2,2] [5,6,4,7,1,3,2,8]=>0101010=>[2,2,2,2] [6,7,4,5,1,3,2,8]=>0101010=>[2,2,2,2] [6,7,5,8,1,3,2,4]=>0101010=>[2,2,2,2] [4,5,1,3,2,7,6,8]=>0101010=>[2,2,2,2] [4,6,5,7,1,3,2,8]=>0101010=>[2,2,2,2] [4,6,1,3,2,7,5,8]=>0101010=>[2,2,2,2] [1,4,3,6,2,7,5,8]=>0101010=>[2,2,2,2] [3,4,1,6,5,7,2,8]=>0101010=>[2,2,2,2] [4,5,2,3,1,7,6,8]=>0101010=>[2,2,2,2] [4,5,3,7,6,8,1,2]=>0101010=>[2,2,2,2] [4,6,5,7,3,8,1,2]=>0101010=>[2,2,2,2] [4,6,5,7,2,3,1,8]=>0101010=>[2,2,2,2] [3,5,4,6,1,7,2,8]=>0101010=>[2,2,2,2] [3,5,1,6,4,7,2,8]=>0101010=>[2,2,2,2] [1,5,3,6,4,7,2,8]=>0101010=>[2,2,2,2] [1,5,3,6,2,7,4,8]=>0101010=>[2,2,2,2] [3,5,2,6,1,7,4,8]=>0101010=>[2,2,2,2] [3,5,2,6,4,7,1,8]=>0101010=>[2,2,2,2] [3,4,2,6,1,7,5,8]=>0101010=>[2,2,2,2] [4,6,2,3,1,7,5,8]=>0101010=>[2,2,2,2] [2,4,3,6,1,7,5,8]=>0101010=>[2,2,2,2] [2,5,3,6,4,7,1,8]=>0101010=>[2,2,2,2] [2,5,3,6,1,7,4,8]=>0101010=>[2,2,2,2] [3,6,2,7,5,4,8,1]=>0101101=>[2,2,1,2,1] [4,6,1,7,3,8,2,5]=>0101010=>[2,2,2,2] [5,2,6,7,4,3,8,1]=>1001101=>[1,3,1,2,1] [3,5,2,7,6,4,8,1]=>0101101=>[2,2,1,2,1] [1,5,7,2,8,3,6,4]=>0010101=>[3,2,2,1] [2,5,7,3,1,8,4,6]=>0011010=>[3,1,2,2] [1,3,7,2,8,5,6,4]=>0010101=>[3,2,2,1] [2,1,5,6,8,4,3,7]=>1000110=>[1,4,1,2] [1,3,7,2,8,5,4,6]=>0010110=>[3,2,1,2] [4,6,2,7,1,8,3,5]=>0101010=>[2,2,2,2] [1,5,4,3,6,8,2,7]=>0110010=>[2,1,3,2] [1,6,4,5,7,8,3,2]=>0100011=>[2,4,1,1] [2,1,5,6,8,4,7,3]=>1000101=>[1,4,2,1] [2,1,5,6,8,7,3,4]=>1000110=>[1,4,1,2] [3,6,5,2,7,8,4,1]=>0110011=>[2,1,3,1,1] [6,2,4,7,5,8,3,1]=>1001011=>[1,3,2,1,1] [1,5,7,8,4,2,6,3]=>0001101=>[4,1,2,1] [3,7,4,1,8,6,2,5]=>0110110=>[2,1,2,1,2] [3,4,6,8,5,7,2,1]=>0001011=>[4,2,1,1] [4,2,5,7,3,1,8,6]=>1001101=>[1,3,1,2,1] [4,5,6,2,8,7,3,1]=>0010111=>[3,2,1,1,1] [2,5,6,8,1,7,4,3]=>0001011=>[4,2,1,1] [4,5,6,1,8,7,3,2]=>0010111=>[3,2,1,1,1] [4,5,6,3,1,8,7,2]=>0011011=>[3,1,2,1,1] [4,3,6,2,1,7,5,8]=>1011010=>[1,2,1,2,2] [4,6,3,2,1,7,5,8]=>0111010=>[2,1,1,2,2] [4,6,3,1,7,5,2,8]=>0110110=>[2,1,2,1,2] [4,5,3,7,6,1,8,2]=>0101101=>[2,2,1,2,1] [4,5,1,7,3,8,6,2]=>0101011=>[2,2,2,1,1] [2,5,7,1,4,3,8,6]=>0010101=>[3,2,2,1] [4,3,5,7,6,1,8,2]=>1001101=>[1,3,1,2,1] [4,3,6,1,7,5,2,8]=>1010110=>[1,2,2,1,2] [4,3,2,6,1,7,5,8]=>1101010=>[1,1,2,2,2] [5,3,2,1,6,4,7,8]=>1110100=>[1,1,1,2,3] [5,3,1,6,2,7,4,8]=>1101010=>[1,1,2,2,2] [5,1,6,3,2,7,4,8]=>1011010=>[1,2,1,2,2] [2,6,1,4,7,5,3,8]=>0100110=>[2,3,1,2] [3,6,1,7,4,2,5,8]=>0101100=>[2,2,1,3] [4,6,1,7,5,3,2,8]=>0101110=>[2,2,1,1,2] [5,1,6,3,7,4,2,8]=>1010110=>[1,2,2,1,2] [5,3,6,4,2,1,7,8]=>1011100=>[1,2,1,1,3] [5,3,2,6,4,1,7,8]=>1101100=>[1,1,2,1,3] [5,2,1,6,3,7,4,8]=>1101010=>[1,1,2,2,2] [5,2,6,3,1,7,4,8]=>1011010=>[1,2,1,2,2] [4,2,6,3,1,7,8,5]=>1011001=>[1,2,1,3,1] [3,6,2,1,7,4,5,8]=>0110100=>[2,1,2,3] [3,6,2,7,4,1,5,8]=>0101100=>[2,2,1,3] [3,5,7,2,8,6,4,1]=>0010111=>[3,2,1,1,1] [2,4,7,1,3,6,5,8]=>0010010=>[3,3,2] [2,6,1,3,7,5,4,8]=>0100110=>[2,3,1,2] [3,6,1,7,5,2,4,8]=>0101100=>[2,2,1,3] [5,1,6,2,7,4,3,8]=>1010110=>[1,2,2,1,2] [5,2,6,4,3,1,7,8]=>1011100=>[1,2,1,1,3] [5,2,1,6,4,3,7,8]=>1101100=>[1,1,2,1,3] [5,4,2,1,6,3,7,8]=>1110100=>[1,1,1,2,3] [5,4,2,6,3,1,7,8]=>1101100=>[1,1,2,1,3] [5,4,1,6,2,7,3,8]=>1101010=>[1,1,2,2,2] [5,1,6,4,2,7,3,8]=>1011010=>[1,2,1,2,2] [3,6,1,7,5,4,8,2]=>0101101=>[2,2,1,2,1] [2,6,1,5,4,3,7,8]=>0101100=>[2,2,1,3] [3,1,6,2,5,4,7,8]=>1010100=>[1,2,2,3] [5,1,6,4,3,2,7,8]=>1011100=>[1,2,1,1,3] [5,4,1,6,3,2,7,8]=>1101100=>[1,1,2,1,3] [5,4,3,1,6,2,7,8]=>1110100=>[1,1,1,2,3] [8,2,1,7,6,5,4,3,9]=>11011110=>[1,1,2,1,1,1,2] [7,3,1,6,5,4,8,2]=>1101101=>[1,1,2,1,2,1] [7,2,8,1,5,4,3,6]=>1010110=>[1,2,2,1,2] [4,2,7,6,5,8,1,3]=>1011010=>[1,2,1,2,2] [3,8,2,6,5,4,1,7]=>0101110=>[2,2,1,1,2] [3,2,8,7,6,5,4,1,9]=>10111110=>[1,2,1,1,1,1,2] [10,1,11,9,8,7,6,5,4,3,2]=>1011111111=>[1,2,1,1,1,1,1,1,1,1] [9,2,1,8,7,6,5,4,3,10]=>110111110=>[1,1,2,1,1,1,1,2] [8,3,1,7,6,5,4,9,2]=>11011101=>[1,1,2,1,1,2,1] [8,2,9,1,6,5,4,3,7]=>10101110=>[1,2,2,1,1,2] [7,3,2,1,5,4,6,8]=>1110100=>[1,1,1,2,3] [7,2,8,6,1,4,3,5]=>1011010=>[1,2,1,2,2] [5,2,7,6,8,4,1,3]=>1010110=>[1,2,2,1,2] [4,2,8,7,6,5,9,1,3]=>10111010=>[1,2,1,1,2,2] [3,8,7,2,5,4,1,6]=>0110110=>[2,1,2,1,2] [3,9,2,7,6,5,4,1,8]=>01011110=>[2,2,1,1,1,2] [3,2,9,8,7,6,5,4,1,10]=>101111110=>[1,2,1,1,1,1,1,2] [2,11,10,9,8,7,6,5,4,1,3]=>0111111110=>[2,1,1,1,1,1,1,1,2] [11,1,12,10,9,8,7,6,5,4,3,2]=>10111111111=>[1,2,1,1,1,1,1,1,1,1,1] [10,2,1,9,8,7,6,5,4,3,11]=>1101111110=>[1,1,2,1,1,1,1,1,2] [9,3,1,8,7,6,5,4,10,2]=>110111101=>[1,1,2,1,1,1,2,1] [9,2,10,1,7,6,5,4,3,8]=>101011110=>[1,2,2,1,1,1,2] [8,4,1,7,6,5,9,3,2]=>11011011=>[1,1,2,1,2,1,1] [8,3,2,1,6,5,4,7,9]=>11101100=>[1,1,1,2,1,3] [8,2,9,7,1,5,4,3,6]=>10110110=>[1,2,1,2,1,2] [7,5,1,6,8,4,3,2]=>1100111=>[1,1,3,1,1,1] [7,4,2,1,5,6,3,8]=>1110010=>[1,1,1,3,2] [7,2,8,6,5,1,3,4]=>1011100=>[1,2,1,1,3] [5,3,2,6,7,4,1,8]=>1100110=>[1,1,3,1,2] [5,2,8,7,6,9,4,1,3]=>10110110=>[1,2,1,2,1,2] [4,3,7,2,5,6,1,8]=>1010010=>[1,2,3,2] [4,3,2,7,6,5,8,1,9]=>11011010=>[1,1,2,1,2,2] [4,2,9,8,7,6,5,10,1,3]=>101111010=>[1,2,1,1,1,2,2] [3,9,8,2,6,5,4,1,7]=>01101110=>[2,1,2,1,1,2] [3,10,2,8,7,6,5,4,1,9]=>010111110=>[2,2,1,1,1,1,2] [3,2,10,9,8,7,6,5,4,1,11]=>1011111110=>[1,2,1,1,1,1,1,1,2] [2,12,11,10,9,8,7,6,5,4,1,3]=>01111111110=>[2,1,1,1,1,1,1,1,1,2] [6,7,1,4,3,2,5,8]=>0101100=>[2,2,1,3] [3,4,2,6,7,1,5,8]=>0100100=>[2,3,3] [3,7,1,6,5,2,4,8]=>0101100=>[2,2,1,3] [3,5,6,2,4,7,1,8]=>0010010=>[3,3,2] [3,5,8,7,2,4,6,1]=>0011001=>[3,1,3,1] [1,7,8,2,5,4,3,6]=>0010110=>[3,2,1,2] [8,7,2,5,4,3,6,1]=>1101101=>[1,1,2,1,2,1] [2,5,6,4,7,1,3,8]=>0010100=>[3,2,3] [4,7,1,6,3,5,2,8]=>0101010=>[2,2,2,2] [4,5,3,8,7,2,6,1]=>0101101=>[2,2,1,2,1] [1,4,5,3,7,8,2,6]=>0010010=>[3,3,2] [1,4,8,2,7,6,3,5]=>0010110=>[3,2,1,2] [4,7,3,5,1,8,6,2]=>0101011=>[2,2,2,1,1] [8,7,3,6,1,5,4,2]=>1101011=>[1,1,2,2,1,1] [2,5,8,7,4,6,1,3]=>0011010=>[3,1,2,2] [5,4,2,1,7,8,3,6]=>1110010=>[1,1,1,3,2] [4,7,8,3,5,2,1,6]=>0010110=>[3,2,1,2] [4,7,6,2,1,8,3,5]=>0111010=>[2,1,1,2,2] [1,4,6,7,3,5,8,2]=>0001001=>[4,3,1] [8,3,6,2,1,7,5,4]=>1011011=>[1,2,1,2,1,1] [8,3,7,6,4,2,1,5]=>1011110=>[1,2,1,1,1,2] [2,3,1,8,4,7,6,5]=>0101011=>[2,2,2,1,1] [2,7,4,8,6,5,1,3]=>0101110=>[2,2,1,1,2] [8,6,5,1,4,7,3,2]=>1110011=>[1,1,1,3,1,1] [8,5,4,1,7,3,6,2]=>1110101=>[1,1,1,2,2,1] [6,3,7,2,8,5,4,1]=>1010111=>[1,2,2,1,1,1] [1,6,3,8,2,7,5,4]=>0101011=>[2,2,2,1,1] [1,7,5,3,8,2,6,4]=>0110101=>[2,1,2,2,1] [6,2,7,4,1,8,5,3]=>1011011=>[1,2,1,2,1,1] [8,6,3,2,7,5,1,4]=>1110110=>[1,1,1,2,1,2] [2,7,5,1,3,8,6,4]=>0110011=>[2,1,3,1,1] [1,7,6,4,3,8,2,5]=>0111010=>[2,1,1,2,2] [3,7,2,4,8,6,5,1]=>0100111=>[2,3,1,1,1] [3,4,2,8,7,6,1,5]=>0101110=>[2,2,1,1,2] [5,1,4,3,2,7,8,6]=>1011001=>[1,2,1,3,1] [3,7,8,5,2,4,1,6]=>0011010=>[3,1,2,2] [3,7,6,2,4,1,8,5]=>0110101=>[2,1,2,2,1] [1,6,8,2,5,7,4,3]=>0010011=>[3,3,1,1] [6,7,2,5,8,4,3,1]=>0100111=>[2,3,1,1,1] [5,2,7,8,4,3,1,6]=>1001110=>[1,3,1,1,2] [5,3,1,7,8,4,2,6]=>1100110=>[1,1,3,1,2] [2,7,6,4,1,3,8,5]=>0111001=>[2,1,1,3,1] [4,1,7,6,3,2,8,5]=>1011101=>[1,2,1,1,2,1] [8,4,2,7,6,3,1,5]=>1101110=>[1,1,2,1,1,2] [6,3,1,7,5,2,8,4]=>1101101=>[1,1,2,1,2,1] [6,2,7,5,3,1,8,4]=>1011101=>[1,2,1,1,2,1] [1,5,8,2,7,4,6,3]=>0010101=>[3,2,2,1] [5,7,2,8,4,6,3,1]=>0101011=>[2,2,2,1,1] [5,7,3,1,8,4,6,2]=>0110101=>[2,1,2,2,1] [8,4,7,3,1,6,5,2]=>1011011=>[1,2,1,2,1,1] [2,6,8,5,7,4,1,3]=>0010110=>[3,2,1,2] [6,5,2,1,7,4,8,3]=>1110101=>[1,1,1,2,2,1] [5,7,4,6,2,1,8,3]=>0101101=>[2,2,1,2,1] [5,6,4,8,3,7,2,1]=>0101011=>[2,2,2,1,1] [6,7,1,8,3,4,2,5]=>0101010=>[2,2,2,2] [7,8,3,5,1,4,2,6]=>0101010=>[2,2,2,2] [5,6,2,7,1,8,3,4]=>0101010=>[2,2,2,2] [6,7,2,4,3,8,1,5]=>0101010=>[2,2,2,2] [2,4,3,8,6,7,1,5]=>0101010=>[2,2,2,2] [1,8,2,7,4,5,3,6]=>0101010=>[2,2,2,2] [2,5,4,8,3,6,1,7]=>0101010=>[2,2,2,2] [2,3,1,8,5,6,4,7]=>0101010=>[2,2,2,2] [3,8,5,6,4,7,1,2]=>0101010=>[2,2,2,2] [5,7,3,6,4,8,1,2]=>0101010=>[2,2,2,2] [5,7,2,3,1,6,4,8]=>0101010=>[2,2,2,2] [5,7,2,4,3,6,1,8]=>0101010=>[2,2,2,2] [4,6,2,7,1,5,3,8]=>0101010=>[2,2,2,2] [4,7,1,6,2,5,3,8]=>0101010=>[2,2,2,2] [4,7,1,5,3,6,2,8]=>0101010=>[2,2,2,2] [4,6,3,5,1,7,2,8]=>0101010=>[2,2,2,2] [6,7,3,5,1,4,2,8]=>0101010=>[2,2,2,2] [5,6,3,7,1,4,2,8]=>0101010=>[2,2,2,2] [5,7,1,6,3,4,2,8]=>0101010=>[2,2,2,2] [1,8,5,6,3,4,2,7]=>0101010=>[2,2,2,2] [1,8,5,6,4,7,2,3]=>0101010=>[2,2,2,2] [5,7,1,6,4,8,2,3]=>0101010=>[2,2,2,2] [4,6,5,8,1,7,2,3]=>0101010=>[2,2,2,2] [3,7,1,4,2,8,5,6]=>0101010=>[2,2,2,2] [3,5,1,4,2,8,6,7]=>0101010=>[2,2,2,2] [4,6,5,8,3,7,1,2]=>0101010=>[2,2,2,2] [4,6,5,8,2,3,1,7]=>0101010=>[2,2,2,2] [3,4,2,6,5,8,1,7]=>0101010=>[2,2,2,2] [3,5,4,6,2,8,1,7]=>0101010=>[2,2,2,2] [1,8,3,5,4,7,2,6]=>0101010=>[2,2,2,2] [3,4,2,7,1,8,5,6]=>0101010=>[2,2,2,2] [4,7,2,3,1,8,5,6]=>0101010=>[2,2,2,2] [2,4,3,8,1,7,5,6]=>0101010=>[2,2,2,2] [2,5,3,8,4,7,1,6]=>0101010=>[2,2,2,2] [2,6,3,8,1,7,4,5]=>0101010=>[2,2,2,2] [2,7,1,8,3,6,4,5]=>0101010=>[2,2,2,2] [1,2,8,7,4,6,3,5]=>0011010=>[3,1,2,2] [4,5,1,8,7,6,2,3]=>0101110=>[2,2,1,1,2] [4,1,5,8,7,6,2,3]=>1001110=>[1,3,1,1,2] [4,5,7,8,2,6,3,1]=>0001011=>[4,2,1,1] [5,2,6,8,3,7,4,1]=>1001011=>[1,3,2,1,1] [3,1,6,8,7,4,5,2]=>1001101=>[1,3,1,2,1] [6,1,4,8,7,2,5,3]=>1001101=>[1,3,1,2,1] [6,1,8,4,7,3,5,2]=>1010101=>[1,2,2,2,1] [4,6,7,8,2,5,3,1]=>0001011=>[4,2,1,1] [7,4,5,2,8,6,3,1]=>1010111=>[1,2,2,1,1,1] [7,5,8,4,2,6,3,1]=>1011011=>[1,2,1,2,1,1] [6,8,4,5,2,7,3,1]=>0101011=>[2,2,2,1,1] [6,8,2,5,3,7,4,1]=>0101011=>[2,2,2,1,1] [6,3,8,4,2,7,5,1]=>1011011=>[1,2,1,2,1,1] [7,2,5,3,8,6,4,1]=>1010111=>[1,2,2,1,1,1] [3,4,7,5,8,6,2,1]=>0010111=>[3,2,1,1,1] [3,6,7,4,8,5,2,1]=>0010111=>[3,2,1,1,1] [6,7,4,2,8,5,3,1]=>0110111=>[2,1,2,1,1,1] [4,7,5,2,8,6,3,1]=>0110111=>[2,1,2,1,1,1] [2,7,5,3,8,6,4,1]=>0110111=>[2,1,2,1,1,1] [5,6,2,8,3,7,4,1]=>0101011=>[2,2,2,1,1] [1,5,8,2,7,3,6,4]=>0010101=>[3,2,2,1] [5,8,4,7,2,3,6,1]=>0101001=>[2,2,3,1] [6,7,4,8,1,5,3,2]=>0101011=>[2,2,2,1,1] [1,7,4,8,6,2,5,3]=>0101101=>[2,2,1,2,1] [6,8,5,3,7,2,4,1]=>0110101=>[2,1,2,2,1] [6,8,5,2,3,7,4,1]=>0110011=>[2,1,3,1,1] [7,5,3,8,2,6,4,1]=>1101011=>[1,1,2,2,1,1] [7,5,2,3,8,6,4,1]=>1100111=>[1,1,3,1,1,1] [3,7,4,5,8,6,2,1]=>0100111=>[2,3,1,1,1] [6,7,3,4,8,5,2,1]=>0100111=>[2,3,1,1,1] [3,6,4,7,8,5,2,1]=>0100111=>[2,3,1,1,1] [6,4,2,7,8,5,3,1]=>1100111=>[1,1,3,1,1,1] [7,4,2,5,8,6,3,1]=>1100111=>[1,1,3,1,1,1] [6,8,4,2,5,7,3,1]=>0110011=>[2,1,3,1,1] [7,5,8,3,4,6,2,1]=>1010011=>[1,2,3,1,1] [7,4,5,8,1,6,3,2]=>1001011=>[1,3,2,1,1] [6,3,4,7,8,5,2,1]=>1000111=>[1,4,1,1,1] [7,8,2,3,4,5,6,9,1]=>01000001=>[2,6,1] [6,1,7,3,4,5,8,2]=>1010001=>[1,2,4,1] [5,7,2,3,4,1,8,6]=>0100101=>[2,3,2,1] [2,7,1,8,4,5,6,3]=>0101001=>[2,2,3,1] [2,6,8,3,4,5,1,7]=>0010010=>[3,3,2] [2,8,9,3,4,5,6,7,1]=>00100001=>[3,5,1] [8,9,2,3,4,5,6,7,10,1]=>010000001=>[2,7,1] [7,1,8,3,4,5,6,9,2]=>10100001=>[1,2,5,1] [6,8,2,3,4,5,1,9,7]=>01000101=>[2,4,2,1] [6,1,2,7,4,5,8,3]=>1001001=>[1,3,3,1] [4,7,2,3,1,5,8,6]=>0101001=>[2,2,3,1] [2,7,1,3,8,5,6,4]=>0100101=>[2,3,2,1] [2,6,7,8,4,5,3,1]=>0001011=>[4,2,1,1] [2,8,1,9,4,5,6,7,3]=>01010001=>[2,2,4,1] [2,5,8,3,4,1,6,7]=>0010100=>[3,2,3] [2,7,9,3,4,5,6,1,8]=>00100010=>[3,4,2] [2,9,10,3,4,5,6,7,8,1]=>001000001=>[3,6,1] [11,1,2,3,4,5,6,7,8,9,12,10]=>10000000001=>[1,10,1] [9,10,2,3,4,5,6,7,8,11,1]=>0100000001=>[2,8,1] [8,1,9,3,4,5,6,7,10,2]=>101000001=>[1,2,6,1] [7,9,2,3,4,5,6,1,10,8]=>010000101=>[2,5,2,1] [7,1,2,8,4,5,6,9,3]=>10010001=>[1,3,4,1] [6,7,8,3,4,5,2,9,1]=>00100101=>[3,3,2,1] [5,8,2,3,4,1,6,9,7]=>01001001=>[2,3,3,1] [5,6,2,7,4,3,8,1]=>0101101=>[2,2,1,2,1] [4,6,7,3,2,5,8,1]=>0011001=>[3,1,3,1] [2,6,7,3,8,5,4,1]=>0010111=>[3,2,1,1,1] [2,8,1,3,9,5,6,7,4]=>01001001=>[2,3,3,1] [2,6,1,8,4,5,3,7]=>0101010=>[2,2,2,2] [2,5,7,8,4,3,6,1]=>0001101=>[4,1,2,1] [2,7,8,9,4,5,6,3,1]=>00010011=>[4,3,1,1] [2,9,1,10,4,5,6,7,8,3]=>010100001=>[2,2,5,1] [2,6,9,3,4,5,1,7,8]=>00100100=>[3,3,3] [2,8,10,3,4,5,6,7,1,9]=>001000010=>[3,5,2] [2,10,11,3,4,5,6,7,8,9,1]=>0010000001=>[3,7,1] [2,12,1,3,4,5,6,7,8,9,10,11]=>01000000000=>[2,10] [3,6,8,4,5,7,1,2]=>0010010=>[3,3,2] [1,6,8,4,7,2,3,5]=>0010100=>[3,2,3] [1,4,5,7,8,2,6,3]=>0000101=>[5,2,1] [3,4,5,7,8,6,1,2]=>0000110=>[5,1,2] [3,4,5,7,6,8,1,2]=>0001010=>[4,2,2] [3,6,7,4,8,5,1,2]=>0010110=>[3,2,1,2] [3,4,5,6,8,7,1,2]=>0000110=>[5,1,2] [1,4,5,8,7,2,3,6]=>0001100=>[4,1,3] [1,2,5,8,3,6,4,7]=>0001010=>[4,2,2] [1,4,5,8,6,2,3,7]=>0001100=>[4,1,3] [7,8,1,4,6,2,3,5]=>0100100=>[2,3,3] [1,6,7,4,8,2,5,3]=>0010101=>[3,2,2,1] [1,4,5,6,8,2,7,3]=>0000101=>[5,2,1] [1,4,5,8,6,2,7,3]=>0001101=>[4,1,2,1] [1,2,5,8,3,4,7,6]=>0001001=>[4,3,1] [1,6,7,2,3,5,8,4]=>0010001=>[3,4,1] [7,8,1,2,3,5,4,6]=>0100010=>[2,4,2] [1,6,7,2,3,5,4,8]=>0010010=>[3,3,2] [1,4,5,7,6,2,3,8]=>0001100=>[4,1,3] [1,2,5,7,3,6,4,8]=>0001010=>[4,2,2] [1,2,5,7,3,6,8,4]=>0001001=>[4,3,1] [1,6,8,2,3,5,7,4]=>0010001=>[3,4,1] [1,6,8,4,5,2,3,7]=>0010100=>[3,2,3] [1,6,8,4,5,2,7,3]=>0010101=>[3,2,2,1] [1,6,8,2,3,4,7,5]=>0010001=>[3,4,1] [1,6,8,2,3,7,4,5]=>0010010=>[3,3,2] [1,4,5,7,6,2,8,3]=>0001101=>[4,1,2,1] [7,8,1,4,5,2,6,3]=>0100101=>[2,3,2,1] [7,8,1,2,3,4,6,5]=>0100001=>[2,5,1] [7,8,1,2,3,6,4,5]=>0100010=>[2,4,2] [1,6,7,2,3,8,5,4]=>0010011=>[3,3,1,1] [1,2,5,6,3,8,7,4]=>0001011=>[4,2,1,1] [4,2,1,6,5,3,8,7]=>1101101=>[1,1,2,1,2,1] [8,2,4,3,1,6,5,7]=>1011010=>[1,2,1,2,2] [6,2,4,3,1,8,7,5]=>1011011=>[1,2,1,2,1,1] [4,2,6,3,5,1,8,7]=>1010101=>[1,2,2,2,1] [4,6,2,1,5,8,7,3]=>0110011=>[2,1,3,1,1] [4,6,5,2,1,8,7,3]=>0111011=>[2,1,1,2,1,1] [2,1,6,4,3,8,7,5]=>1011011=>[1,2,1,2,1,1] [4,8,2,1,6,7,3,5]=>0110010=>[2,1,3,2] [6,8,2,1,4,3,7,5]=>0110101=>[2,1,2,2,1] [8,6,2,4,3,1,5,7]=>1101100=>[1,1,2,1,3] [6,8,2,4,3,1,7,5]=>0101101=>[2,2,1,2,1] [6,8,7,2,4,3,1,5]=>0110110=>[2,1,2,1,2] [2,1,8,4,6,5,3,7]=>1010110=>[1,2,2,1,2] [2,1,6,4,8,5,7,3]=>1010101=>[1,2,2,2,1] [4,6,5,2,8,3,7,1]=>0110101=>[2,1,2,2,1] [2,6,4,5,8,3,7,1]=>0100101=>[2,3,2,1] [6,4,2,8,3,5,7,1]=>1101001=>[1,1,2,3,1] [8,4,2,6,3,5,1,7]=>1101010=>[1,1,2,2,2] [6,2,4,8,5,3,7,1]=>1001101=>[1,3,1,2,1] [4,2,6,3,5,8,7,1]=>1010011=>[1,2,3,1,1] [4,2,6,3,8,7,5,1]=>1010111=>[1,2,2,1,1,1] [6,2,4,3,8,5,7,1]=>1010101=>[1,2,2,2,1] [8,2,4,3,6,5,1,7]=>1010110=>[1,2,2,1,2] [8,2,1,4,6,5,3,7]=>1100110=>[1,1,3,1,2] [6,2,1,4,8,5,7,3]=>1100101=>[1,1,3,2,1] [6,2,1,8,7,4,3,5]=>1101110=>[1,1,2,1,1,2] [6,2,1,8,4,3,7,5]=>1101101=>[1,1,2,1,2,1] [8,4,6,5,2,1,3,7]=>1011100=>[1,2,1,1,3] [6,4,8,5,2,1,7,3]=>1011101=>[1,2,1,1,2,1] [6,4,8,5,7,2,1,3]=>1010110=>[1,2,2,1,2] [4,6,8,7,5,2,1,3]=>0011110=>[3,1,1,1,2] [2,1,4,8,6,7,3,5]=>1001010=>[1,3,2,2] [2,6,8,7,4,5,1,3]=>0011010=>[3,1,2,2] [2,4,8,6,7,5,1,3]=>0010110=>[3,2,1,2] [4,2,8,6,5,7,1,3]=>1011010=>[1,2,1,2,2] [8,2,6,4,5,1,3,7]=>1010100=>[1,2,2,3] [8,4,6,2,1,5,3,7]=>1011010=>[1,2,1,2,2] [4,6,8,7,2,1,5,3]=>0011101=>[3,1,1,2,1] [4,6,5,8,2,1,7,3]=>0101101=>[2,2,1,2,1] [2,1,6,8,4,3,7,5]=>1001101=>[1,3,1,2,1] [6,8,7,4,2,1,3,5]=>0111100=>[2,1,1,1,3] [2,8,6,4,7,1,3,5]=>0110100=>[2,1,2,3] [4,8,6,2,1,7,3,5]=>0111010=>[2,1,1,2,2] [2,8,5,3,1,4,6,7]=>0111000=>[2,1,1,4] [2,7,4,8,3,5,1,6]=>0101010=>[2,2,2,2] [2,7,4,8,3,5,6,1]=>0101001=>[2,2,3,1] [7,2,8,4,3,5,1,6]=>1011010=>[1,2,1,2,2] [8,4,2,1,5,3,6,7]=>1110100=>[1,1,1,2,3] [8,5,1,4,2,3,6,7]=>1101000=>[1,1,2,4] [8,4,1,5,3,2,6,7]=>1101100=>[1,1,2,1,3] [6,7,3,8,4,2,5,1]=>0101101=>[2,2,1,2,1] [6,7,3,8,4,2,1,5]=>0101110=>[2,2,1,1,2] [7,1,8,4,3,5,2,6]=>1011010=>[1,2,1,2,2] [1,7,8,4,3,5,2,6]=>0011010=>[3,1,2,2] [7,1,4,8,3,5,2,6]=>1001010=>[1,3,2,2] [7,4,8,1,5,6,2,3]=>1010010=>[1,2,3,2] [7,1,8,4,3,5,6,2]=>1011001=>[1,2,1,3,1] [6,7,3,1,8,4,5,2]=>0110101=>[2,1,2,2,1] [6,7,3,8,4,5,2,1]=>0101011=>[2,2,2,1,1] [6,7,1,4,8,3,5,2]=>0100101=>[2,3,2,1] [6,7,4,1,3,8,2,5]=>0110010=>[2,1,3,2] [1,6,7,8,4,3,2,5]=>0001110=>[4,1,1,2] [7,2,1,8,4,5,3,6]=>1101010=>[1,1,2,2,2] [6,2,7,1,8,4,3,5]=>1010110=>[1,2,2,1,2] [6,2,7,8,4,3,1,5]=>1001110=>[1,3,1,1,2] [6,2,7,8,4,3,5,1]=>1001101=>[1,3,1,2,1] [2,6,7,4,8,3,5,1]=>0010101=>[3,2,2,1] [2,6,7,4,8,3,1,5]=>0010110=>[3,2,1,2] [7,8,1,3,6,2,4,5]=>0100100=>[2,3,3] [1,2,7,8,6,3,4,5]=>0001100=>[4,1,3] [2,6,7,1,8,5,3,4]=>0010110=>[3,2,1,2] [2,6,7,8,5,3,1,4]=>0001110=>[4,1,1,2] [2,6,7,8,5,3,4,1]=>0001101=>[4,1,2,1] [6,2,7,8,4,5,3,1]=>1001011=>[1,3,2,1,1] [7,2,1,8,4,5,6,3]=>1101001=>[1,1,2,3,1] [1,7,2,8,4,5,6,3]=>0101001=>[2,2,3,1] [3,7,8,1,5,6,2,4]=>0010010=>[3,3,2] [6,3,7,8,1,5,2,4]=>1001010=>[1,3,2,2] [6,7,1,2,8,5,3,4]=>0100110=>[2,3,1,2] [1,6,7,8,4,2,5,3]=>0001101=>[4,1,2,1] [3,1,2,7,6,5,8,4]=>1001101=>[1,3,1,2,1] [6,1,2,4,7,3,8,5]=>1000101=>[1,4,2,1] [1,7,5,3,6,4,8,2]=>0110101=>[2,1,2,2,1] [5,1,2,6,7,4,8,3]=>1000101=>[1,4,2,1] [4,1,5,7,3,2,6,8]=>1001100=>[1,3,1,3] [4,6,1,7,3,2,5,8]=>0101100=>[2,2,1,3] [4,6,1,8,3,2,5,7]=>0101100=>[2,2,1,3] [4,7,1,8,3,5,2,6]=>0101010=>[2,2,2,2] [4,1,7,8,6,2,3,5]=>1001100=>[1,3,1,3] [1,6,5,7,8,3,4,2]=>0100101=>[2,3,2,1] [1,6,5,8,7,3,4,2]=>0101101=>[2,2,1,2,1] [4,1,8,7,6,2,3,5]=>1011100=>[1,2,1,1,3] [4,8,1,7,3,5,2,6]=>0101010=>[2,2,2,2] [4,8,1,6,3,2,5,7]=>0101100=>[2,2,1,3] [4,7,1,6,3,2,5,8]=>0101100=>[2,2,1,3] [6,1,2,3,7,5,4,8]=>1000110=>[1,4,1,2] [6,8,1,5,3,7,2,4]=>0101010=>[2,2,2,2] [8,7,5,2,4,1,6,3]=>1110101=>[1,1,1,2,2,1] [1,5,7,3,4,8,6,2]=>0010011=>[3,3,1,1] [1,5,8,3,4,7,6,2]=>0010011=>[3,3,1,1] [7,8,5,2,4,1,6,3]=>0110101=>[2,1,2,2,1] [7,1,2,3,5,6,4,8]=>1000010=>[1,5,2] [8,1,2,3,5,6,4,7]=>1000010=>[1,5,2] [8,1,2,3,5,4,7,6]=>1000101=>[1,4,2,1] [7,1,8,4,6,3,2,5]=>1010110=>[1,2,2,1,2] [6,8,2,4,3,1,5,7]=>0101100=>[2,2,1,3] [6,7,2,4,3,1,5,8]=>0101100=>[2,2,1,3] [3,8,1,2,4,5,7,6]=>0100001=>[2,5,1] [3,7,1,8,6,4,2,5]=>0101110=>[2,2,1,1,2] [1,6,4,3,7,5,8,2]=>0110101=>[2,1,2,2,1] [3,1,2,6,7,5,8,4]=>1000101=>[1,4,2,1] [3,8,1,7,6,4,2,5]=>0101110=>[2,2,1,1,2] [7,6,2,4,3,1,5,8]=>1101100=>[1,1,2,1,3] [8,7,2,4,3,5,1,6]=>1101010=>[1,1,2,2,2] [8,1,7,4,6,3,2,5]=>1010110=>[1,2,2,1,2] [8,1,7,6,5,3,2,4]=>1011110=>[1,2,1,1,1,2] [1,5,7,3,4,6,8,2]=>0010001=>[3,4,1] [8,7,2,5,3,6,1,4]=>1101010=>[1,1,2,2,2] [7,1,2,3,5,4,8,6]=>1000101=>[1,4,2,1] [6,1,2,3,5,8,4,7]=>1000010=>[1,5,2] [6,1,2,3,5,7,4,8]=>1000010=>[1,5,2] [5,1,2,3,7,6,4,8]=>1000110=>[1,4,1,2] [5,1,2,3,8,6,4,7]=>1000110=>[1,4,1,2] [1,5,6,3,4,7,8,2]=>0010001=>[3,4,1] [8,6,5,2,4,7,1,3]=>1110010=>[1,1,1,3,2] [7,6,2,5,3,1,8,4]=>1101101=>[1,1,2,1,2,1] [7,4,5,2,3,8,6,1]=>1010011=>[1,2,3,1,1] [8,2,3,7,4,5,1,6]=>1001010=>[1,3,2,2] [8,4,7,3,2,5,1,6]=>1011010=>[1,2,1,2,2] [5,4,6,3,1,2,8,7]=>1011001=>[1,2,1,3,1] [4,6,2,3,1,5,8,7]=>0101001=>[2,2,3,1] [7,2,3,4,5,8,6,1]=>1000011=>[1,5,1,1] [8,2,3,4,5,7,1,6]=>1000010=>[1,5,2] [7,3,4,6,8,5,1,2]=>1000110=>[1,4,1,2] [4,7,3,2,8,6,1,5]=>0110110=>[2,1,2,1,2] [3,7,4,5,1,8,6,2]=>0101011=>[2,2,2,1,1] [3,8,2,6,7,4,5,1]=>0100101=>[2,3,2,1] [4,8,1,5,6,7,3,2]=>0100011=>[2,4,1,1] [5,8,2,4,6,7,1,3]=>0100010=>[2,4,2] [6,8,1,3,4,2,7,5]=>0100101=>[2,3,2,1] [5,8,2,4,3,1,7,6]=>0101101=>[2,2,1,2,1] [2,1,7,6,8,5,3,4]=>1010110=>[1,2,2,1,2] [3,7,6,1,8,5,2,4]=>0110110=>[2,1,2,1,2] [4,7,2,3,8,5,1,6]=>0100110=>[2,3,1,2] [7,1,3,6,4,8,5,2]=>1001011=>[1,3,2,1,1] [7,6,1,4,8,5,2,3]=>1100110=>[1,1,3,1,2] [6,2,3,7,8,5,4,1]=>1000111=>[1,4,1,1,1] [6,2,3,8,4,5,1,7]=>1001010=>[1,3,2,2] [7,2,3,6,8,4,1,5]=>1000110=>[1,4,1,2] [8,2,3,5,7,1,4,6]=>1000100=>[1,4,3] [6,4,8,3,5,1,7,2]=>1010101=>[1,2,2,2,1] [5,4,8,3,6,7,1,2]=>1010010=>[1,2,3,2] [3,5,1,8,4,6,7,2]=>0101001=>[2,2,3,1] [3,6,1,8,4,5,2,7]=>0101010=>[2,2,2,2] [4,6,8,3,5,2,7,1]=>0010101=>[3,2,2,1] [5,7,8,3,2,4,1,6]=>0011010=>[3,1,2,2] [4,8,2,3,5,6,1,7]=>0100010=>[2,4,2] [6,8,2,3,1,4,5,7]=>0101000=>[2,2,4] [5,2,7,4,8,3,1,6]=>1010110=>[1,2,2,1,2] [3,7,8,2,1,4,6,5]=>0011001=>[3,1,3,1] [3,7,5,2,8,4,1,6]=>0110110=>[2,1,2,1,2] [6,3,2,4,1,8,7,5]=>1101011=>[1,1,2,2,1,1] [7,2,3,4,8,5,1,6]=>1000110=>[1,4,1,2] [5,7,3,1,4,2,6,8]=>0110100=>[2,1,2,3] [3,7,4,1,8,2,5,6]=>0110100=>[2,1,2,3] [6,3,7,4,8,1,2,5]=>1010100=>[1,2,2,3] [8,3,7,4,2,6,1,5]=>1011010=>[1,2,1,2,2] [3,7,4,1,5,6,2,8]=>0110010=>[2,1,3,2] [1,8,3,2,4,5,7,6]=>0110001=>[2,1,4,1] [8,4,1,6,3,7,5,2]=>1101011=>[1,1,2,2,1,1] [8,7,4,2,1,6,3,5]=>1111010=>[1,1,1,1,2,2] [8,3,5,2,7,4,1,6]=>1010110=>[1,2,2,1,2] [1,5,3,8,7,6,4,2]=>0101111=>[2,2,1,1,1,1] [7,2,4,8,1,3,6,5]=>1001001=>[1,3,3,1] [1,2,8,7,5,6,3,4]=>0011010=>[3,1,2,2] [3,1,8,6,7,5,2,4]=>1010110=>[1,2,2,1,2] [1,4,8,6,5,7,2,3]=>0011010=>[3,1,2,2] [1,6,5,4,8,2,3,7]=>0110100=>[2,1,2,3] [5,1,6,8,3,4,2,7]=>1001010=>[1,3,2,2] [6,2,5,1,7,4,3,8]=>1010110=>[1,2,2,1,2] [5,2,1,8,7,4,3,6]=>1101110=>[1,1,2,1,1,2] [5,2,6,3,8,1,4,7]=>1010100=>[1,2,2,3] [5,2,8,3,4,6,1,7]=>1010010=>[1,2,3,2] [6,2,8,4,3,1,7,5]=>1011101=>[1,2,1,1,2,1] [7,2,8,1,3,6,5,4]=>1010011=>[1,2,3,1,1] [7,3,8,1,4,6,2,5]=>1010010=>[1,2,3,2] [1,7,8,5,4,6,3,2]=>0011011=>[3,1,2,1,1] [1,5,8,4,6,3,7,2]=>0010101=>[3,2,2,1] [5,3,8,4,1,2,7,6]=>1011001=>[1,2,1,3,1] [5,8,4,3,6,2,1,7]=>0110110=>[2,1,2,1,2] [1,8,3,6,5,2,7,4]=>0101101=>[2,2,1,2,1] [1,8,2,4,7,6,5,3]=>0100111=>[2,3,1,1,1] [3,8,1,4,6,7,5,2]=>0100011=>[2,4,1,1] [3,8,2,5,1,7,6,4]=>0101011=>[2,2,2,1,1] [4,3,8,2,5,1,6,7]=>1010100=>[1,2,2,3] [8,2,4,3,5,1,7,6]=>1010101=>[1,2,2,2,1] [8,2,1,4,6,5,7,3]=>1100101=>[1,1,3,2,1] [8,1,3,4,5,7,6,2]=>1000011=>[1,5,1,1] [6,1,5,2,4,7,8,3]=>1010001=>[1,2,4,1] [4,1,8,5,2,7,6,3]=>1011011=>[1,2,1,2,1,1] [4,8,5,1,3,6,2,7]=>0110010=>[2,1,3,2] [3,6,1,5,7,2,8,4]=>0100101=>[2,3,2,1] [6,3,1,2,8,5,7,4]=>1100101=>[1,1,3,2,1] [4,1,8,2,3,7,5,6]=>1010010=>[1,2,3,2] [5,3,8,7,2,1,4,6]=>1011100=>[1,2,1,1,3] [6,7,3,5,1,4,8,2]=>0101001=>[2,2,3,1] [6,4,7,5,8,2,3,1]=>1010101=>[1,2,2,2,1] [5,7,8,4,2,6,3,1]=>0011011=>[3,1,2,1,1] [5,7,4,1,6,8,3,2]=>0110011=>[2,1,3,1,1] [5,8,4,6,1,7,3,2]=>0101011=>[2,2,2,1,1] [5,6,1,4,7,8,3,2]=>0100011=>[2,4,1,1] [5,6,3,7,4,8,2,1]=>0101011=>[2,2,2,1,1] [5,3,6,7,4,8,2,1]=>1001011=>[1,3,2,1,1] [5,3,2,8,6,7,4,1]=>1101011=>[1,1,2,2,1,1] [5,4,8,2,6,7,3,1]=>1010011=>[1,2,3,1,1] [5,4,8,6,2,7,3,1]=>1011011=>[1,2,1,2,1,1] [7,4,8,5,6,2,1,3]=>1010110=>[1,2,2,1,2] [5,6,3,8,4,7,2,1]=>0101011=>[2,2,2,1,1] [5,6,3,8,2,7,4,1]=>0101011=>[2,2,2,1,1] [4,3,7,2,8,6,5,1]=>1010111=>[1,2,2,1,1,1] [6,7,3,8,5,2,4,1]=>0101101=>[2,2,1,2,1] [6,2,7,5,1,4,8,3]=>1011001=>[1,2,1,3,1] [3,5,7,8,4,6,2,1]=>0001011=>[4,2,1,1] [5,3,7,8,4,6,2,1]=>1001011=>[1,3,2,1,1] [5,7,8,2,4,6,3,1]=>0010011=>[3,3,1,1] [2,5,8,4,3,7,6,1]=>0011011=>[3,1,2,1,1] [3,7,4,8,6,2,1,5]=>0101110=>[2,2,1,1,2] [3,6,4,8,7,2,5,1]=>0101101=>[2,2,1,2,1] [3,5,4,8,2,7,6,1]=>0101011=>[2,2,2,1,1] [4,5,7,3,8,6,2,1]=>0010111=>[3,2,1,1,1] [3,5,6,8,4,7,2,1]=>0001011=>[4,2,1,1] [6,3,1,8,7,5,4,2]=>1101111=>[1,1,2,1,1,1,1] [5,4,8,1,7,6,3,2]=>1010111=>[1,2,2,1,1,1] [5,8,4,1,7,6,3,2]=>0110111=>[2,1,2,1,1,1] [7,5,4,1,8,6,3,2]=>1110111=>[1,1,1,2,1,1,1] [8,5,4,1,7,6,3,2]=>1110111=>[1,1,1,2,1,1,1] [1,8,2,5,6,3,4,7]=>0100100=>[2,3,3] [7,2,8,4,5,1,3,6]=>1010100=>[1,2,2,3] [1,3,7,5,6,2,4,8]=>0010100=>[3,2,3] [1,6,7,4,3,5,2,8]=>0011010=>[3,1,2,2] [1,8,5,2,3,7,4,6]=>0110010=>[2,1,3,2] [1,8,2,5,3,6,7,4]=>0101001=>[2,2,3,1] [2,6,8,4,3,5,7,1]=>0011001=>[3,1,3,1] [7,5,8,3,2,1,6,4]=>1011101=>[1,2,1,1,2,1] [7,2,8,4,1,5,6,3]=>1011001=>[1,2,1,3,1] [7,5,8,1,2,6,3,4]=>1010010=>[1,2,3,2] [1,6,7,4,3,2,8,5]=>0011101=>[3,1,1,2,1] [1,5,2,6,4,7,8,3]=>0101001=>[2,2,3,1] [1,5,4,6,2,3,7,8]=>0101000=>[2,2,4] [6,2,5,7,1,4,8,3]=>1001001=>[1,3,3,1] [6,5,4,3,8,1,7,2]=>1110101=>[1,1,1,2,2,1] [7,3,6,8,5,2,4,1]=>1001101=>[1,3,1,2,1] [2,7,8,3,6,5,1,4]=>0010110=>[3,2,1,2] [2,7,8,5,4,6,3,1]=>0011011=>[3,1,2,1,1] [2,6,5,8,3,4,1,7]=>0101010=>[2,2,2,2] [2,6,5,7,3,4,1,8]=>0101010=>[2,2,2,2] [6,2,5,7,4,1,3,8]=>1001100=>[1,3,1,3] [6,2,5,8,4,1,3,7]=>1001100=>[1,3,1,3] [2,7,8,4,6,1,3,5]=>0010100=>[3,2,3] [6,1,2,8,3,7,4,5]=>1001010=>[1,3,2,2] [6,1,2,8,5,4,7,3]=>1001101=>[1,3,1,2,1] [6,2,5,7,8,1,3,4]=>1000100=>[1,4,3] [1,5,4,2,6,7,3,8]=>0110010=>[2,1,3,2] [2,6,5,7,3,8,1,4]=>0101010=>[2,2,2,2] [1,6,2,7,5,8,4,3]=>0101011=>[2,2,2,1,1] [1,3,2,7,8,5,6,4]=>0100101=>[2,3,2,1] [1,6,2,4,8,7,3,5]=>0100110=>[2,3,1,2] [6,5,2,1,8,7,3,4]=>1110110=>[1,1,1,2,1,2] [2,6,5,3,7,8,4,1]=>0110011=>[2,1,3,1,1] [6,2,5,3,8,4,7,1]=>1010101=>[1,2,2,2,1] [6,5,2,3,8,7,1,4]=>1100110=>[1,1,3,1,2] [5,4,1,2,3,8,6,7]=>1100010=>[1,1,4,2] [5,1,4,2,3,7,8,6]=>1010001=>[1,2,4,1] [1,5,4,2,6,3,8,7]=>0110101=>[2,1,2,2,1] [5,1,6,3,8,2,7,4]=>1010101=>[1,2,2,2,1] [9,8,7,6,5,4,3,1,2,10]=>111111100=>[1,1,1,1,1,1,1,3] [8,7,6,5,4,2,1,3,9]=>11111100=>[1,1,1,1,1,1,3] [1,9,8,7,6,5,3,2,4]=>01111110=>[2,1,1,1,1,1,2] [1,8,7,6,2,5,4,3]=>0111011=>[2,1,1,2,1,1] [1,9,8,7,6,5,2,4,3]=>01111101=>[2,1,1,1,1,2,1] [1,10,9,8,7,6,5,4,2,3]=>011111110=>[2,1,1,1,1,1,1,2] [2,1,9,8,7,6,5,4,3]=>10111111=>[1,2,1,1,1,1,1,1] [1,2,9,8,7,6,5,4,3]=>00111111=>[3,1,1,1,1,1,1] [3,2,1,9,8,7,6,5,4]=>11011111=>[1,1,2,1,1,1,1,1] [1,3,2,9,8,7,6,5,4]=>01011111=>[2,2,1,1,1,1,1] [1,2,3,9,8,7,6,5,4]=>00011111=>[4,1,1,1,1,1] [4,3,2,1,9,8,7,6,5]=>11101111=>[1,1,1,2,1,1,1,1] [1,4,3,2,9,8,7,6,5]=>01101111=>[2,1,2,1,1,1,1] [2,1,4,3,9,8,7,6,5]=>10101111=>[1,2,2,1,1,1,1] [1,2,4,3,9,8,7,6,5]=>00101111=>[3,2,1,1,1,1] [1,2,3,4,9,8,7,6,5]=>00001111=>[5,1,1,1,1] [1,5,4,3,2,9,8,7,6]=>01110111=>[2,1,1,2,1,1,1] [2,1,5,4,3,9,8,7,6]=>10110111=>[1,2,1,2,1,1,1] [1,2,5,4,3,9,8,7,6]=>00110111=>[3,1,2,1,1,1] [1,3,2,5,4,9,8,7,6]=>01010111=>[2,2,2,1,1,1] [1,2,3,5,4,9,8,7,6]=>00010111=>[4,2,1,1,1] [1,2,3,4,5,9,8,7,6]=>00000111=>[6,1,1,1] [1,3,2,6,5,4,9,8,7]=>01011011=>[2,2,1,2,1,1] [1,2,3,6,5,4,9,8,7]=>00011011=>[4,1,2,1,1] [2,1,4,3,6,5,9,8,7]=>10101011=>[1,2,2,2,1,1] [1,2,4,3,6,5,9,8,7]=>00101011=>[3,2,2,1,1] [1,2,3,4,6,5,9,8,7]=>00001011=>[5,2,1,1] [1,2,3,5,4,7,6,9,8]=>00010101=>[4,2,2,1] [1,2,3,4,5,7,6,9,8]=>00000101=>[6,2,1] [1,2,10,9,8,7,6,5,4,3]=>001111111=>[3,1,1,1,1,1,1,1] [3,2,1,10,9,8,7,6,5,4]=>110111111=>[1,1,2,1,1,1,1,1,1] [1,3,2,10,9,8,7,6,5,4]=>010111111=>[2,2,1,1,1,1,1,1] [1,2,3,10,9,8,7,6,5,4]=>000111111=>[4,1,1,1,1,1,1] [1,4,3,2,10,9,8,7,6,5]=>011011111=>[2,1,2,1,1,1,1,1] [1,2,4,3,10,9,8,7,6,5]=>001011111=>[3,2,1,1,1,1,1] [1,2,3,4,10,9,8,7,6,5]=>000011111=>[5,1,1,1,1,1] [1,5,4,3,2,10,9,8,7,6]=>011101111=>[2,1,1,2,1,1,1,1] [2,1,5,4,3,10,9,8,7,6]=>101101111=>[1,2,1,2,1,1,1,1] [1,2,5,4,3,10,9,8,7,6]=>001101111=>[3,1,2,1,1,1,1] [1,3,2,5,4,10,9,8,7,6]=>010101111=>[2,2,2,1,1,1,1] [1,2,3,5,4,10,9,8,7,6]=>000101111=>[4,2,1,1,1,1] [1,2,6,5,4,3,10,9,8,7]=>001110111=>[3,1,1,2,1,1,1] [3,2,1,6,5,4,10,9,8,7]=>110110111=>[1,1,2,1,2,1,1,1] [1,3,2,6,5,4,10,9,8,7]=>010110111=>[2,2,1,2,1,1,1] [1,2,3,6,5,4,10,9,8,7]=>000110111=>[4,1,2,1,1,1] [1,2,4,3,6,5,10,9,8,7]=>001010111=>[3,2,2,1,1,1] [1,2,3,4,6,5,10,9,8,7]=>000010111=>[5,2,1,1,1] [1,2,3,4,5,6,10,9,8,7]=>000000111=>[7,1,1,1] [1,4,3,2,7,6,5,10,9,8]=>011011011=>[2,1,2,1,2,1,1] [2,1,4,3,7,6,5,10,9,8]=>101011011=>[1,2,2,1,2,1,1] [1,2,4,3,7,6,5,10,9,8]=>001011011=>[3,2,1,2,1,1] [1,2,3,4,7,6,5,10,9,8]=>000011011=>[5,1,2,1,1] [1,3,2,5,4,7,6,10,9,8]=>010101011=>[2,2,2,2,1,1] [1,2,3,5,4,7,6,10,9,8]=>000101011=>[4,2,2,1,1] [1,2,3,4,5,7,6,10,9,8]=>000001011=>[6,2,1,1] [1,2,3,4,5,6,7,10,9,8]=>000000011=>[8,1,1] [1,2,4,3,6,5,8,7,10,9]=>001010101=>[3,2,2,2,1] [1,2,3,4,6,5,8,7,10,9]=>000010101=>[5,2,2,1] [1,2,3,4,5,6,8,7,10,9]=>000000101=>[7,2,1] [5,2,7,4,1,6,3,8]=>1011010=>[1,2,1,2,2] [4,7,3,1,5,6,2,8]=>0110010=>[2,1,3,2] [5,8,3,4,1,6,7,2]=>0101001=>[2,2,3,1] [1,7,8,4,5,6,2,3]=>0010010=>[3,3,2] [1,5,8,4,2,6,7,3]=>0011001=>[3,1,3,1] [1,6,3,8,5,2,7,4]=>0101101=>[2,2,1,2,1] [6,2,3,7,5,1,4,8]=>1001100=>[1,3,1,3] [1,7,3,4,8,6,2,5]=>0100110=>[2,3,1,2] [8,7,3,2,1,6,5,4]=>1111011=>[1,1,1,1,2,1,1] [8,7,6,3,1,5,2,4]=>1111010=>[1,1,1,1,2,2] [8,5,1,7,2,3,4,6]=>1101000=>[1,1,2,4] [9,8,7,6,5,2,1,4,3]=>11111101=>[1,1,1,1,1,1,2,1] [9,8,7,3,2,1,6,5,4]=>11111011=>[1,1,1,1,1,2,1,1] [9,8,7,6,3,1,5,2,4]=>11111010=>[1,1,1,1,1,2,2] [9,4,3,2,1,8,7,6,5]=>11110111=>[1,1,1,1,2,1,1,1] [9,8,4,3,1,7,6,2,5]=>11110110=>[1,1,1,1,2,1,2] [9,8,7,2,1,4,3,6,5]=>11110101=>[1,1,1,1,2,2,1] [9,8,7,4,1,6,2,3,5]=>11110100=>[1,1,1,1,2,3] [5,4,3,1,9,8,7,2,6]=>11101110=>[1,1,1,2,1,1,2] [9,5,2,1,8,4,3,7,6]=>11101101=>[1,1,1,2,1,2,1] [9,8,3,1,5,2,7,4,6]=>11101010=>[1,1,1,2,2,2] [6,3,1,9,5,2,8,4,7]=>11011010=>[1,1,2,1,2,2] [6,5,1,9,8,2,3,4,7]=>11011000=>[1,1,2,1,4] [9,2,1,4,3,6,5,8,7]=>11010101=>[1,1,2,2,2,1] [9,6,1,8,2,3,4,5,7]=>11010000=>[1,1,2,5] [5,1,7,2,9,3,4,6,8]=>10101000=>[1,2,2,4] [7,1,9,2,3,4,5,6,8]=>10100000=>[1,2,6] [10,9,8,7,6,5,2,1,4,3]=>111111101=>[1,1,1,1,1,1,1,2,1] [10,9,8,7,3,2,1,6,5,4]=>111111011=>[1,1,1,1,1,1,2,1,1] [10,9,8,7,6,3,1,5,2,4]=>111111010=>[1,1,1,1,1,1,2,2] [10,9,4,3,2,1,8,7,6,5]=>111110111=>[1,1,1,1,1,2,1,1,1] [10,9,8,4,3,1,7,6,2,5]=>111110110=>[1,1,1,1,1,2,1,2] [10,9,8,7,2,1,4,3,6,5]=>111110101=>[1,1,1,1,1,2,2,1] [10,9,8,7,4,1,6,2,3,5]=>111110100=>[1,1,1,1,1,2,3] [10,5,4,3,1,9,8,7,2,6]=>111101110=>[1,1,1,1,2,1,1,2] [10,9,5,2,1,8,4,3,7,6]=>111101101=>[1,1,1,1,2,1,2,1] [10,9,5,4,1,8,7,2,3,6]=>111101100=>[1,1,1,1,2,1,3] [10,9,8,3,1,5,2,7,4,6]=>111101010=>[1,1,1,1,2,2,2] [6,5,2,1,10,9,4,3,8,7]=>111011101=>[1,1,1,2,1,1,2,1] [6,5,4,1,10,9,8,2,3,7]=>111011100=>[1,1,1,2,1,1,3] [10,3,2,1,6,5,4,9,8,7]=>111011011=>[1,1,1,2,1,2,1,1] [10,6,5,1,9,8,2,3,4,7]=>111011000=>[1,1,1,2,1,4] [10,9,2,1,4,3,6,5,8,7]=>111010101=>[1,1,1,2,2,2,1] [10,9,6,1,8,2,3,4,5,7]=>111010000=>[1,1,1,2,5] [4,3,1,7,6,2,10,9,5,8]=>110110110=>[1,1,2,1,2,1,2] [7,2,1,10,4,3,6,5,9,8]=>110110101=>[1,1,2,1,2,2,1] [7,4,1,10,6,2,9,3,5,8]=>110110100=>[1,1,2,1,2,3] [7,6,1,10,9,2,3,4,5,8]=>110110000=>[1,1,2,1,5] [10,5,1,7,2,9,3,4,6,8]=>110101000=>[1,1,2,2,4] [10,7,1,9,2,3,4,5,6,8]=>110100000=>[1,1,2,6] [4,1,6,2,8,3,10,5,7,9]=>101010100=>[1,2,2,2,3] [6,1,8,2,10,3,4,5,7,9]=>101010000=>[1,2,2,5] [8,1,10,2,3,4,5,6,7,9]=>101000000=>[1,2,7] [2,4,8,5,3,7,1,6]=>0011010=>[3,1,2,2] [2,4,1,8,5,3,7,6]=>0101101=>[2,2,1,2,1] [2,4,8,6,3,1,7,5]=>0011101=>[3,1,1,2,1] [3,4,6,8,2,1,7,5]=>0001101=>[4,1,2,1] [3,4,1,5,8,2,7,6]=>0100101=>[2,3,2,1] [8,1,4,5,3,2,7,6]=>1001101=>[1,3,1,2,1] [3,4,1,5,2,8,7,6]=>0101011=>[2,2,2,1,1] [3,4,6,2,1,8,7,5]=>0011011=>[3,1,2,1,1] [3,5,6,2,1,7,8,4]=>0011001=>[3,1,3,1] [3,4,6,2,7,8,1,5]=>0010010=>[3,3,2] [8,1,4,6,3,7,2,5]=>1001010=>[1,3,2,2] [8,1,4,6,3,7,5,2]=>1001011=>[1,3,2,1,1] [3,5,6,2,1,7,4,8]=>0011010=>[3,1,2,2] [8,1,5,6,7,3,4,2]=>1000101=>[1,4,2,1] [8,1,5,6,7,3,2,4]=>1000110=>[1,4,1,2] [3,4,1,6,8,7,2,5]=>0100110=>[2,3,1,2] [3,5,6,1,8,7,2,4]=>0010110=>[3,2,1,2] [2,1,3,8,6,7,4,5]=>1001010=>[1,3,2,2] [8,1,3,2,6,7,5,4]=>1010011=>[1,2,3,1,1] [2,3,8,6,7,1,5,4]=>0010101=>[3,2,2,1] [2,4,1,8,6,7,5,3]=>0101011=>[2,2,2,1,1] [2,5,8,6,1,7,4,3]=>0011011=>[3,1,2,1,1] [3,5,6,1,8,7,4,2]=>0010111=>[3,2,1,1,1] [3,4,1,6,8,7,5,2]=>0100111=>[2,3,1,1,1] [3,4,6,8,7,1,5,2]=>0001101=>[4,1,2,1] [8,1,4,6,2,7,5,3]=>1001011=>[1,3,2,1,1] [3,5,1,6,7,8,4,2]=>0100011=>[2,4,1,1] [4,5,6,1,7,8,3,2]=>0010011=>[3,3,1,1] [4,5,6,1,7,3,8,2]=>0010101=>[3,2,2,1] [3,5,1,6,7,4,8,2]=>0100101=>[2,3,2,1] [8,1,5,6,7,4,2,3]=>1000110=>[1,4,1,2] [8,1,5,6,7,4,3,2]=>1000111=>[1,4,1,1,1] [3,5,1,6,7,4,2,8]=>0100110=>[2,3,1,2] [4,5,6,1,7,3,2,8]=>0010110=>[3,2,1,2] [6,5,8,7,4,3,1,2]=>1011110=>[1,2,1,1,1,2] [6,4,2,7,8,5,1,3]=>1100110=>[1,1,3,1,2] [6,1,4,8,7,5,2,3]=>1001110=>[1,3,1,1,2] [1,6,4,8,7,5,2,3]=>0101110=>[2,2,1,1,2] [1,8,6,2,4,7,3,5]=>0110010=>[2,1,3,2] [8,1,6,2,4,7,3,5]=>1010010=>[1,2,3,2] [7,6,2,1,4,8,3,5]=>1110010=>[1,1,1,3,2] [6,4,1,7,8,5,2,3]=>1100110=>[1,1,3,1,2] [7,6,1,2,4,8,3,5]=>1100010=>[1,1,4,2] [7,6,1,3,4,8,2,5]=>1100010=>[1,1,4,2] [8,1,6,3,4,7,2,5]=>1010010=>[1,2,3,2] [1,8,6,3,4,7,2,5]=>0110010=>[2,1,3,2] [1,7,2,5,4,8,3,6]=>0101010=>[2,2,2,2] [7,1,2,5,4,8,3,6]=>1001010=>[1,3,2,2] [2,7,1,5,4,8,3,6]=>0101010=>[2,2,2,2] [2,8,6,3,4,7,1,5]=>0110010=>[2,1,3,2] [2,8,6,1,4,7,3,5]=>0110010=>[2,1,3,2] [7,2,1,5,4,8,3,6]=>1101010=>[1,1,2,2,2] [1,2,7,5,4,8,3,6]=>0011010=>[3,1,2,2] [3,2,7,5,4,8,1,6]=>1011010=>[1,2,1,2,2] [2,5,8,4,7,3,1,6]=>0010110=>[3,2,1,2] [2,3,7,5,4,8,1,6]=>0011010=>[3,1,2,2] [6,8,3,2,4,7,1,5]=>0110010=>[2,1,3,2] [3,7,2,5,4,8,1,6]=>0101010=>[2,2,2,2] [3,1,7,5,4,8,2,6]=>1011010=>[1,2,1,2,2] [1,3,7,5,4,8,2,6]=>0011010=>[3,1,2,2] [1,5,8,4,7,3,2,6]=>0010110=>[3,2,1,2] [5,1,8,4,7,3,2,6]=>1010110=>[1,2,2,1,2] [5,8,2,4,7,3,1,6]=>0100110=>[2,3,1,2] [6,8,4,3,7,5,1,2]=>0110110=>[2,1,2,1,2] [8,7,5,6,2,1,4,3]=>1101101=>[1,1,2,1,2,1] [8,5,2,4,7,3,1,6]=>1100110=>[1,1,3,1,2] [8,1,5,4,7,3,2,6]=>1010110=>[1,2,2,1,2] [1,8,5,4,7,3,2,6]=>0110110=>[2,1,2,1,2] [1,7,3,5,4,8,2,6]=>0101010=>[2,2,2,2] [8,6,3,1,4,7,2,5]=>1110010=>[1,1,1,3,2] [8,6,4,2,7,5,1,3]=>1110110=>[1,1,1,2,1,2] [8,6,4,1,7,2,5,3]=>1110101=>[1,1,1,2,2,1] [5,3,7,4,6,8,2,1]=>1010011=>[1,2,3,1,1] [4,1,3,2,7,8,5,6]=>1010010=>[1,2,3,2] [1,4,3,2,7,8,5,6]=>0110010=>[2,1,3,2] [2,4,3,1,7,8,5,6]=>0110010=>[2,1,3,2] [2,7,3,5,4,8,1,6]=>0101010=>[2,2,2,2] [2,8,5,4,7,3,1,6]=>0110110=>[2,1,2,1,2] [5,7,3,4,6,8,2,1]=>0100011=>[2,4,1,1] [8,2,5,4,7,3,1,6]=>1010110=>[1,2,2,1,2] [7,2,3,5,4,8,1,6]=>1001010=>[1,3,2,2] [3,2,1,4,7,8,5,6]=>1100010=>[1,1,4,2] [8,1,7,6,4,3,5,2]=>1011101=>[1,2,1,1,2,1] [8,6,4,5,2,7,1,3]=>1101010=>[1,1,2,2,2] [7,1,8,6,4,3,5,2]=>1011101=>[1,2,1,1,2,1] [7,4,2,5,1,6,3,8]=>1101010=>[1,1,2,2,2] [7,3,6,5,2,1,4,8]=>1011100=>[1,2,1,1,3] [8,3,6,5,2,1,7,4]=>1011101=>[1,2,1,1,2,1] [7,3,6,5,2,1,8,4]=>1011101=>[1,2,1,1,2,1] [7,5,8,6,4,2,1,3]=>1011110=>[1,2,1,1,1,2] [5,4,2,8,1,3,7,6]=>1101001=>[1,1,2,3,1] [5,8,2,6,4,1,3,7]=>0101100=>[2,2,1,3] [6,4,2,5,1,8,3,7]=>1101010=>[1,1,2,2,2] [6,3,5,2,1,4,7,8]=>1011000=>[1,2,1,4] [2,5,8,6,3,1,4,7]=>0011100=>[3,1,1,3] [2,3,5,8,1,4,7,6]=>0001001=>[4,3,1] [2,3,6,8,1,5,7,4]=>0001001=>[4,3,1] [6,3,8,5,2,7,1,4]=>1011010=>[1,2,1,2,2] [6,3,7,5,2,1,4,8]=>1011100=>[1,2,1,1,3] [2,5,7,6,3,1,4,8]=>0011100=>[3,1,1,3] [2,8,7,6,3,1,5,4]=>0111101=>[2,1,1,1,2,1] [2,5,8,7,6,3,1,4]=>0011110=>[3,1,1,1,2] [2,4,8,1,6,5,7,3]=>0010101=>[3,2,2,1] [2,8,7,3,6,1,4,5]=>0110100=>[2,1,2,3] [7,3,5,2,1,4,6,8]=>1011000=>[1,2,1,4] [8,4,2,5,1,3,7,6]=>1101001=>[1,1,2,3,1] [2,3,6,8,1,4,7,5]=>0001001=>[4,3,1] [2,7,8,6,3,1,4,5]=>0011100=>[3,1,1,3] [7,3,8,5,2,1,4,6]=>1011100=>[1,2,1,1,3] [2,3,6,1,8,4,7,5]=>0010101=>[3,2,2,1] [2,8,6,3,1,4,5,7]=>0111000=>[2,1,1,4] [8,3,5,2,1,4,6,7]=>1011000=>[1,2,1,4] [2,4,8,1,3,7,5,6]=>0010010=>[3,3,2] [2,5,8,1,7,3,6,4]=>0010101=>[3,2,2,1] [3,8,6,1,4,7,5,2]=>0110011=>[2,1,3,1,1] [2,7,1,5,8,3,4,6]=>0100100=>[2,3,3] [3,7,5,8,1,2,6,4]=>0101001=>[2,2,3,1] [7,3,6,1,2,8,4,5]=>1010010=>[1,2,3,2] [7,4,8,1,6,5,2,3]=>1010110=>[1,2,2,1,2] [7,4,5,8,6,1,2,3]=>1001100=>[1,3,1,3] [6,8,4,5,1,7,2,3]=>0101010=>[2,2,2,2] [5,1,8,7,6,2,3,4]=>1011100=>[1,2,1,1,3] [8,5,1,6,2,7,3,4]=>1101010=>[1,1,2,2,2] [4,6,1,8,7,5,2,3]=>0101110=>[2,2,1,1,2] [4,5,1,8,7,2,3,6]=>0101100=>[2,2,1,3] [3,4,8,7,1,2,5,6]=>0011000=>[3,1,4] [6,4,8,7,1,2,5,3]=>1011001=>[1,2,1,3,1] [6,5,1,2,7,3,8,4]=>1100101=>[1,1,3,2,1] [6,5,1,8,2,7,3,4]=>1101010=>[1,1,2,2,2] [6,5,1,7,2,8,3,4]=>1101010=>[1,1,2,2,2] [6,5,1,7,2,3,8,4]=>1101001=>[1,1,2,3,1] [5,6,8,7,4,1,2,3]=>0011100=>[3,1,1,3] [6,8,5,7,4,1,2,3]=>0101100=>[2,2,1,3] [7,3,8,1,5,2,4,6]=>1010100=>[1,2,2,3] [4,1,7,5,3,6,2,8]=>1011010=>[1,2,1,2,2] [1,8,4,2,3,6,7,5]=>0110001=>[2,1,4,1] [2,5,8,3,4,6,7,1]=>0010001=>[3,4,1] [4,1,7,2,3,6,8,5]=>1010001=>[1,2,4,1] [4,6,2,1,5,7,8,3]=>0110001=>[2,1,4,1] [4,5,2,3,1,7,8,6]=>0101001=>[2,2,3,1] [3,2,6,7,4,1,8,5]=>1001101=>[1,3,1,2,1] [5,6,2,7,1,4,8,3]=>0101001=>[2,2,3,1] [6,2,3,8,1,7,4,5]=>1001010=>[1,3,2,2] [2,6,8,3,4,7,1,5]=>0010010=>[3,3,2] [4,6,2,7,5,1,3,8]=>0101100=>[2,2,1,3] [2,6,3,1,8,4,5,7]=>0110100=>[2,1,2,3] [2,4,3,7,8,1,5,6]=>0100100=>[2,3,3] [5,3,2,7,4,8,1,6]=>1101010=>[1,1,2,2,2] [5,1,2,7,6,8,4,3]=>1001011=>[1,3,2,1,1] [2,6,3,1,8,7,4,5]=>0110110=>[2,1,2,1,2] [3,5,6,4,7,8,1,2]=>0010010=>[3,3,2] [5,3,6,4,2,8,7,1]=>1011011=>[1,2,1,2,1,1] [5,4,2,3,7,8,6,1]=>1100011=>[1,1,4,1,1] [4,1,8,2,5,7,3,6]=>1010010=>[1,2,3,2] [3,1,8,4,7,2,5,6]=>1010100=>[1,2,2,3] [6,2,3,8,4,1,7,5]=>1001101=>[1,3,1,2,1] [2,6,4,1,5,3,8,7]=>0110101=>[2,1,2,2,1] [3,2,7,6,4,1,8,5]=>1011101=>[1,2,1,1,2,1] [2,5,4,1,7,6,8,3]=>0110101=>[2,1,2,2,1] [6,2,1,4,7,8,3,5]=>1100010=>[1,1,4,2] [2,6,5,1,7,8,3,4]=>0110010=>[2,1,3,2] [4,7,5,2,1,6,3,8]=>0111010=>[2,1,1,2,2] [4,2,3,7,8,1,6,5]=>1000101=>[1,4,2,1] [5,8,3,1,7,2,4,6]=>0110100=>[2,1,2,3] [6,8,3,1,5,2,4,7]=>0110100=>[2,1,2,3] [4,2,7,1,6,3,5,8]=>1010100=>[1,2,2,3] [5,1,7,4,2,6,3,8]=>1011010=>[1,2,1,2,2] [5,8,2,1,4,7,3,6]=>0110010=>[2,1,3,2] [6,8,3,2,5,1,7,4]=>0110101=>[2,1,2,2,1] [6,8,4,3,1,5,7,2]=>0111001=>[2,1,1,3,1] [6,8,4,2,1,5,7,3]=>0111001=>[2,1,1,3,1] [6,8,3,2,1,4,5,7]=>0111000=>[2,1,1,4] [5,1,7,3,2,4,6,8]=>1011000=>[1,2,1,4] [5,2,1,8,3,6,7,4]=>1101001=>[1,1,2,3,1] [4,3,8,1,6,2,7,5]=>1010101=>[1,2,2,2,1] [4,2,1,6,5,8,3,7]=>1101010=>[1,1,2,2,2] [4,2,1,8,5,7,3,6]=>1101010=>[1,1,2,2,2] [6,3,2,1,7,4,5,8]=>1110100=>[1,1,1,2,3] [6,4,2,1,7,5,3,8]=>1110110=>[1,1,1,2,1,2] [7,5,2,1,8,6,3,4]=>1110110=>[1,1,1,2,1,2] [5,3,2,7,6,1,4,8]=>1101100=>[1,1,2,1,3] [5,3,2,8,6,1,4,7]=>1101100=>[1,1,2,1,3] [6,3,2,8,7,1,4,5]=>1101100=>[1,1,2,1,3] [4,2,8,1,7,3,5,6]=>1010100=>[1,2,2,3] [4,3,8,7,2,1,5,6]=>1011100=>[1,2,1,1,3] [2,1,5,8,4,7,3,6]=>1001010=>[1,3,2,2] [4,3,2,5,8,1,6,7]=>1100100=>[1,1,3,3] [4,3,2,5,7,1,6,8]=>1100100=>[1,1,3,3] [4,3,1,6,2,7,5,8]=>1101010=>[1,1,2,2,2] [5,4,1,7,2,8,6,3]=>1101011=>[1,1,2,2,1,1] [6,5,3,1,7,8,4,2]=>1110011=>[1,1,1,3,1,1] [6,4,2,1,7,8,5,3]=>1110011=>[1,1,1,3,1,1] [3,2,1,4,8,7,5,6]=>1100110=>[1,1,3,1,2] [3,2,1,4,6,8,5,7]=>1100010=>[1,1,4,2] [5,3,2,1,6,7,8,4]=>1110001=>[1,1,1,4,1] [8,6,1,4,5,7,2,3]=>1100010=>[1,1,4,2] [3,8,6,4,5,7,1,2]=>0110010=>[2,1,3,2] [5,2,8,3,7,4,6,1]=>1010101=>[1,2,2,2,1] [6,2,8,5,4,7,3,1]=>1011011=>[1,2,1,2,1,1] [1,8,6,3,7,4,2,5]=>0110110=>[2,1,2,1,2] [1,8,6,5,7,2,3,4]=>0110100=>[2,1,2,3] [5,2,8,4,3,6,7,1]=>1011001=>[1,2,1,3,1] [5,4,2,7,3,6,1,8]=>1101010=>[1,1,2,2,2] [5,4,2,8,3,6,1,7]=>1101010=>[1,1,2,2,2] [6,5,3,8,4,7,2,1]=>1101011=>[1,1,2,2,1,1] [5,2,8,4,3,7,1,6]=>1011010=>[1,2,1,2,2] [6,2,8,3,7,4,1,5]=>1010110=>[1,2,2,1,2] [5,4,2,7,3,1,8,6]=>1101101=>[1,1,2,1,2,1] [6,4,3,7,1,2,8,5]=>1101001=>[1,1,2,3,1] [6,4,3,8,1,2,7,5]=>1101001=>[1,1,2,3,1] [7,6,3,8,4,2,1,5]=>1101110=>[1,1,2,1,1,2] [7,2,8,5,1,6,3,4]=>1011010=>[1,2,1,2,2] [7,2,8,4,3,1,5,6]=>1011100=>[1,2,1,1,3] [7,5,3,8,4,2,6,1]=>1101101=>[1,1,2,1,2,1] [6,4,2,7,3,1,5,8]=>1101100=>[1,1,2,1,3] [7,6,4,8,2,3,5,1]=>1101001=>[1,1,2,3,1] [7,6,8,1,2,5,3,4]=>1010010=>[1,2,3,2] [5,3,1,7,8,4,6,2]=>1100101=>[1,1,3,2,1] [5,3,2,7,8,4,6,1]=>1100101=>[1,1,3,2,1] [5,4,1,6,3,8,7,2]=>1101011=>[1,1,2,2,1,1] [6,5,1,7,8,2,3,4]=>1100100=>[1,1,3,3] [6,3,1,7,8,4,2,5]=>1100110=>[1,1,3,1,2] [5,4,1,7,3,8,2,6]=>1101010=>[1,1,2,2,2] [6,3,2,7,8,4,1,5]=>1100110=>[1,1,3,1,2] [6,1,5,4,3,2,8,7]=>1011101=>[1,2,1,1,2,1] [8,7,6,1,3,5,2,4]=>1110010=>[1,1,1,3,2] [8,1,6,5,7,3,4,2]=>1010101=>[1,2,2,2,1] [8,4,1,5,7,6,2,3]=>1100110=>[1,1,3,1,2] [7,8,6,2,5,3,1,4]=>0110110=>[2,1,2,1,2] [6,1,3,5,2,8,4,7]=>1001010=>[1,3,2,2] [8,1,3,7,4,2,5,6]=>1001100=>[1,3,1,3] [4,3,8,7,5,2,1,6]=>1011110=>[1,2,1,1,1,2] [6,7,1,8,5,3,4,2]=>0101101=>[2,2,1,2,1] [2,7,6,4,8,3,5,1]=>0110101=>[2,1,2,2,1] [6,5,2,7,1,4,8,3]=>1101001=>[1,1,2,3,1] [7,4,6,1,3,2,8,5]=>1010101=>[1,2,2,2,1] [7,5,2,1,3,8,4,6]=>1110010=>[1,1,1,3,2] [8,4,7,6,3,1,5,2]=>1011101=>[1,2,1,1,2,1] [7,4,1,5,6,3,8,2]=>1100101=>[1,1,3,2,1] [3,4,7,5,6,1,8,2]=>0010101=>[3,2,2,1] [2,4,7,5,6,3,8,1]=>0010101=>[3,2,2,1] [5,4,1,7,6,2,8,3]=>1101101=>[1,1,2,1,2,1] [3,5,6,7,1,4,8,2]=>0001001=>[4,3,1] [2,7,6,1,3,4,8,5]=>0110001=>[2,1,4,1] [5,7,2,1,6,3,8,4]=>0110101=>[2,1,2,2,1] [4,7,2,5,6,3,8,1]=>0100101=>[2,3,2,1] [8,6,2,5,7,1,4,3]=>1100101=>[1,1,3,2,1] [2,7,4,5,3,8,1,6]=>0101010=>[2,2,2,2] [6,8,7,1,3,2,5,4]=>0110101=>[2,1,2,2,1] [2,8,6,5,7,1,4,3]=>0110101=>[2,1,2,2,1] [5,8,4,3,2,6,7,1]=>0111001=>[2,1,1,3,1] [1,8,5,6,2,4,7,3]=>0101001=>[2,2,3,1] [8,1,5,6,2,4,7,3]=>1001001=>[1,3,3,1] [6,4,8,1,3,2,7,5]=>1010101=>[1,2,2,2,1] [1,4,5,2,8,6,7,3]=>0010101=>[3,2,2,1] [2,3,1,7,8,6,4,5]=>0100110=>[2,3,1,2] [3,5,7,6,2,8,1,4]=>0011010=>[3,1,2,2] [4,5,6,1,2,8,7,3]=>0010011=>[3,3,1,1] [5,4,1,2,8,6,7,3]=>1100101=>[1,1,3,2,1] [8,4,5,2,1,6,7,3]=>1011001=>[1,2,1,3,1] [3,1,2,6,8,4,7,5]=>1000101=>[1,4,2,1] [5,1,3,2,7,8,4,6]=>1010010=>[1,2,3,2] [1,5,4,2,7,8,3,6]=>0110010=>[2,1,3,2] [4,6,7,8,3,1,5,2]=>0001101=>[4,1,2,1] [7,6,2,8,4,3,1,5]=>1101110=>[1,1,2,1,1,2] [5,2,8,6,3,4,7,1]=>1011001=>[1,2,1,3,1] [5,6,8,4,3,2,7,1]=>0011101=>[3,1,1,2,1] [5,3,8,1,7,2,4,6]=>1010100=>[1,2,2,3] [3,6,7,8,4,2,1,5]=>0001110=>[4,1,1,2] [6,5,1,8,4,3,7,2]=>1101101=>[1,1,2,1,2,1] [6,3,8,4,2,1,7,5]=>1011101=>[1,2,1,1,2,1] [2,5,8,3,1,6,7,4]=>0011001=>[3,1,3,1] [3,5,8,1,2,6,7,4]=>0010001=>[3,4,1] [3,2,8,1,5,6,7,4]=>1010001=>[1,2,4,1] [1,5,8,3,2,6,7,4]=>0011001=>[3,1,3,1] [1,3,8,6,2,4,7,5]=>0011001=>[3,1,3,1] [3,2,7,8,4,6,1,5]=>1001010=>[1,3,2,2] [5,1,8,3,4,6,7,2]=>1010001=>[1,2,4,1] [4,8,7,2,1,6,3,5]=>0111010=>[2,1,1,2,2] [2,8,1,6,3,4,7,5]=>0101001=>[2,2,3,1] [8,3,4,2,1,6,5,7]=>1011010=>[1,2,1,2,2] [6,4,7,2,5,8,1,3]=>1010010=>[1,2,3,2] [8,4,5,2,6,3,1,7]=>1010110=>[1,2,2,1,2] [2,4,5,8,3,6,1,7]=>0001010=>[4,2,2] [3,5,8,1,2,6,4,7]=>0010010=>[3,3,2] [8,6,1,3,5,2,4,7]=>1100100=>[1,1,3,3] [8,5,1,2,6,4,3,7]=>1100110=>[1,1,3,1,2] [5,8,6,1,3,4,2,7]=>0110010=>[2,1,3,2] [5,8,4,6,1,3,2,7]=>0101010=>[2,2,2,2] [7,3,4,5,2,8,1,6]=>1001010=>[1,3,2,2] [5,7,4,3,6,1,8,2]=>0110101=>[2,1,2,2,1] [2,6,4,3,7,8,5,1]=>0110011=>[2,1,3,1,1] [7,4,1,8,3,2,5,6]=>1101100=>[1,1,2,1,3] [6,2,1,7,8,4,5,3]=>1100101=>[1,1,3,2,1] [7,6,3,1,5,4,8,2]=>1110101=>[1,1,1,2,2,1] [2,4,6,5,1,7,8,3]=>0011001=>[3,1,3,1] [1,4,7,5,6,8,2,3]=>0010010=>[3,3,2] [1,4,7,6,5,8,2,3]=>0011010=>[3,1,2,2] [3,7,5,2,4,6,8,1]=>0110001=>[2,1,4,1] [5,6,1,7,4,2,8,3]=>0101101=>[2,2,1,2,1] [3,7,4,8,1,2,6,5]=>0101001=>[2,2,3,1] [6,3,5,7,8,1,4,2]=>1000101=>[1,4,2,1] [3,6,5,7,1,8,4,2]=>0101011=>[2,2,2,1,1] [6,4,7,8,2,1,3,5]=>1001100=>[1,3,1,3] [6,7,3,8,4,1,2,5]=>0101100=>[2,2,1,3] [2,7,8,3,4,6,1,5]=>0010010=>[3,3,2] [7,5,8,4,1,3,2,6]=>1011010=>[1,2,1,2,2] [4,7,5,8,3,1,2,6]=>0101100=>[2,2,1,3] [3,6,7,4,8,1,2,5]=>0010100=>[3,2,3] [5,7,3,1,6,8,4,2]=>0110011=>[2,1,3,1,1] [2,7,3,1,8,6,4,5]=>0110110=>[2,1,2,1,2] [2,8,4,3,1,5,7,6]=>0111001=>[2,1,1,3,1] [4,8,1,2,3,5,7,6]=>0100001=>[2,5,1] [7,6,8,1,2,4,3,5]=>1010010=>[1,2,3,2] [7,6,8,5,1,3,2,4]=>1011010=>[1,2,1,2,2] [2,8,5,4,6,1,7,3]=>0110101=>[2,1,2,2,1] [8,4,5,2,7,6,1,3]=>1010110=>[1,2,2,1,2] [8,7,6,4,1,2,5,3]=>1111001=>[1,1,1,1,3,1] [6,7,1,3,5,2,8,4]=>0100101=>[2,3,2,1] [5,7,2,3,6,8,1,4]=>0100010=>[2,4,2] [8,5,3,2,7,6,1,4]=>1110110=>[1,1,1,2,1,2] [3,4,6,7,5,8,1,2]=>0001010=>[4,2,2] [3,4,5,7,6,1,8,2]=>0001101=>[4,1,2,1] [2,6,4,5,7,8,3,1]=>0100011=>[2,4,1,1] [3,8,5,1,6,2,7,4]=>0110101=>[2,1,2,2,1] [2,5,1,3,6,8,7,4]=>0100011=>[2,4,1,1] [5,4,6,1,3,7,8,2]=>1010001=>[1,2,4,1] [6,3,5,7,1,4,8,2]=>1001001=>[1,3,3,1] [7,3,4,6,8,1,5,2]=>1000101=>[1,4,2,1] [7,5,2,8,4,1,3,6]=>1101100=>[1,1,2,1,3] [3,7,6,4,1,8,2,5]=>0111010=>[2,1,1,2,2] [3,7,8,4,1,5,6,2]=>0011001=>[3,1,3,1] [8,7,5,4,2,1,6,3]=>1111101=>[1,1,1,1,1,2,1] [3,5,8,6,7,4,2,1]=>0010111=>[3,2,1,1,1] [5,8,1,6,7,3,4,2]=>0100101=>[2,3,2,1] [6,7,2,5,1,8,4,3]=>0101011=>[2,2,2,1,1] [5,8,2,1,6,7,4,3]=>0110011=>[2,1,3,1,1] [4,5,2,8,6,3,7,1]=>0101101=>[2,2,1,2,1] [3,6,1,2,5,8,4,7]=>0100010=>[2,4,2] [1,4,5,8,2,3,7,6]=>0001001=>[4,3,1] [1,2,6,4,5,8,3,7]=>0010010=>[3,3,2] [1,5,2,4,6,8,3,7]=>0100010=>[2,4,2] [3,6,1,5,8,2,4,7]=>0100100=>[2,3,3] [2,6,5,1,4,8,3,7]=>0110010=>[2,1,3,2] [5,2,6,1,4,8,3,7]=>1010010=>[1,2,3,2] [2,5,1,8,4,7,3,6]=>0101010=>[2,2,2,2] [2,7,1,4,3,6,8,5]=>0101001=>[2,2,3,1] [1,3,7,5,8,2,4,6]=>0010100=>[3,2,3] [8,2,1,5,7,3,4,6]=>1100100=>[1,1,3,3] [2,5,4,8,1,3,7,6]=>0101001=>[2,2,3,1] [2,4,1,3,8,6,7,5]=>0100101=>[2,3,2,1] [8,4,3,7,1,2,6,5]=>1101001=>[1,1,2,3,1] [1,7,3,5,8,2,6,4]=>0100101=>[2,3,2,1] [1,8,4,2,6,7,3,5]=>0110010=>[2,1,3,2] [3,1,6,8,7,2,4,5]=>1001100=>[1,3,1,3] [7,2,1,6,8,3,4,5]=>1100100=>[1,1,3,3] [3,1,7,6,8,2,4,5]=>1010100=>[1,2,2,3] [4,1,7,2,6,8,3,5]=>1010010=>[1,2,3,2] [5,1,7,2,3,6,8,4]=>1010001=>[1,2,4,1] [7,2,1,6,3,5,8,4]=>1101001=>[1,1,2,3,1] [2,6,1,7,3,5,8,4]=>0101001=>[2,2,3,1] [7,1,2,5,3,6,8,4]=>1001001=>[1,3,3,1] [5,4,1,2,7,8,3,6]=>1100010=>[1,1,4,2] [8,1,3,2,4,6,7,5]=>1010001=>[1,2,4,1] [7,3,1,2,4,6,8,5]=>1100001=>[1,1,5,1] [1,8,3,4,7,2,5,6]=>0100100=>[2,3,3] [3,5,8,1,2,7,4,6]=>0010010=>[3,3,2] [3,6,8,1,2,4,7,5]=>0010001=>[3,4,1] [4,1,3,8,7,2,6,5]=>1001101=>[1,3,1,2,1] [1,3,7,4,8,2,6,5]=>0010101=>[3,2,2,1] [1,4,6,8,2,3,7,5]=>0001001=>[4,3,1] [3,5,8,1,7,2,4,6]=>0010100=>[3,2,3] [2,6,8,1,7,3,4,5]=>0010100=>[3,2,3] [6,1,5,8,2,3,7,4]=>1001001=>[1,3,3,1] [1,8,3,2,7,5,6,4]=>0110101=>[2,1,2,2,1] [3,1,7,2,8,5,6,4]=>1010101=>[1,2,2,2,1] [2,6,7,3,8,1,5,4]=>0010101=>[3,2,2,1] [8,4,1,7,3,6,2,5]=>1101010=>[1,1,2,2,2] [3,7,2,8,6,1,5,4]=>0101101=>[2,2,1,2,1] [6,2,3,8,7,1,5,4]=>1001101=>[1,3,1,2,1] [5,1,7,8,4,2,6,3]=>1001101=>[1,3,1,2,1] [5,1,8,7,4,2,6,3]=>1011101=>[1,2,1,1,2,1] [4,7,2,8,3,6,5,1]=>0101011=>[2,2,2,1,1] [4,1,7,8,5,3,6,2]=>1001101=>[1,3,1,2,1] [5,1,7,4,8,3,6,2]=>1010101=>[1,2,2,2,1] [4,1,8,7,5,3,6,2]=>1011101=>[1,2,1,1,2,1] [4,8,2,7,3,6,5,1]=>0101011=>[2,2,2,1,1] [4,7,2,6,3,5,8,1]=>0101001=>[2,2,3,1] [6,8,2,4,3,7,5,1]=>0101011=>[2,2,2,1,1] [6,7,2,4,3,8,5,1]=>0101011=>[2,2,2,1,1] [6,8,2,7,3,5,4,1]=>0101011=>[2,2,2,1,1] [3,8,7,2,4,1,5,6]=>0110100=>[2,1,2,3] [3,7,8,2,4,1,5,6]=>0010100=>[3,2,3] [3,6,8,2,4,5,7,1]=>0010001=>[3,4,1] [3,6,7,2,4,5,8,1]=>0010001=>[3,4,1] [6,5,1,4,2,3,8,7]=>1101001=>[1,1,2,3,1] [8,6,1,7,2,5,4,3]=>1101011=>[1,1,2,2,1,1] [8,7,6,1,2,3,5,4]=>1110001=>[1,1,1,4,1] [5,4,3,1,6,2,8,7]=>1110101=>[1,1,1,2,2,1] [8,3,4,7,1,6,2,5]=>1001010=>[1,3,2,2] [6,3,4,1,8,5,2,7]=>1010110=>[1,2,2,1,2] [3,8,5,2,7,1,6,4]=>0110101=>[2,1,2,2,1] [2,8,6,7,5,3,4,1]=>0101101=>[2,2,1,2,1] [2,1,8,7,3,6,4,5]=>1011010=>[1,2,1,2,2] [3,6,5,8,2,4,7,1]=>0101001=>[2,2,3,1] [5,2,1,8,7,3,4,6]=>1101100=>[1,1,2,1,3] [6,5,2,7,4,3,8,1]=>1101101=>[1,1,2,1,2,1] [4,6,5,2,7,3,8,1]=>0110101=>[2,1,2,2,1] [6,2,7,1,8,3,5,4]=>1010101=>[1,2,2,2,1] [2,7,5,4,8,3,6,1]=>0110101=>[2,1,2,2,1] [8,7,5,1,2,6,4,3]=>1110011=>[1,1,1,3,1,1] [8,4,3,2,7,1,6,5]=>1110101=>[1,1,1,2,2,1] [7,1,6,2,3,8,5,4]=>1010011=>[1,2,3,1,1] [4,8,1,3,2,7,5,6]=>0101010=>[2,2,2,2] [3,8,1,4,7,5,2,6]=>0100110=>[2,3,1,2] [6,3,8,7,4,5,1,2]=>1011010=>[1,2,1,2,2] [6,1,4,8,5,2,3,7]=>1001100=>[1,3,1,3] [8,5,7,4,6,2,1,3]=>1010110=>[1,2,2,1,2] [4,6,7,8,2,3,5,1]=>0001001=>[4,3,1] [8,7,4,6,2,1,5,3]=>1101101=>[1,1,2,1,2,1] [7,6,1,3,5,2,8,4]=>1100101=>[1,1,3,2,1] [5,8,3,2,4,6,1,7]=>0110010=>[2,1,3,2] [8,2,6,5,3,1,7,4]=>1011101=>[1,2,1,1,2,1] [4,8,7,6,5,2,3,1]=>0111101=>[2,1,1,1,2,1] [2,1,8,6,4,3,7,5]=>1011101=>[1,2,1,1,2,1] [2,1,7,6,5,3,8,4]=>1011101=>[1,2,1,1,2,1] [2,7,6,1,3,5,8,4]=>0110001=>[2,1,4,1] [7,2,5,4,6,1,8,3]=>1010101=>[1,2,2,2,1] [4,7,6,1,2,5,8,3]=>0110001=>[2,1,4,1] [2,4,1,7,6,8,5,3]=>0101011=>[2,2,2,1,1] [3,4,1,7,8,5,6,2]=>0100101=>[2,3,2,1] [7,5,4,3,1,8,6,2]=>1111011=>[1,1,1,1,2,1,1] [8,5,6,2,7,3,1,4]=>1010110=>[1,2,2,1,2] [8,4,2,5,6,1,7,3]=>1100101=>[1,1,3,2,1] [6,3,5,4,1,7,8,2]=>1011001=>[1,2,1,3,1] [4,1,3,6,7,5,8,2]=>1000101=>[1,4,2,1] [1,7,5,3,8,2,4,6]=>0110100=>[2,1,2,3] [1,7,2,4,5,8,3,6]=>0100010=>[2,4,2] [8,2,5,3,1,6,4,7]=>1011010=>[1,2,1,2,2] [1,7,4,5,8,3,2,6]=>0100110=>[2,3,1,2] [2,6,4,7,8,3,5,1]=>0100101=>[2,3,2,1] [2,6,4,7,8,3,1,5]=>0100110=>[2,3,1,2] [1,2,6,4,7,8,3,5]=>0010010=>[3,3,2] [2,7,4,5,8,1,3,6]=>0100100=>[2,3,3] [2,7,5,3,1,8,4,6]=>0111010=>[2,1,1,2,2] [6,1,4,7,8,3,5,2]=>1000101=>[1,4,2,1] [3,6,4,7,8,1,5,2]=>0100101=>[2,3,2,1] [4,3,6,7,1,8,5,2]=>1001011=>[1,3,2,1,1] [4,3,6,7,1,8,2,5]=>1001010=>[1,3,2,2] [3,6,4,7,8,1,2,5]=>0100100=>[2,3,3] [2,3,6,4,1,7,8,5]=>0011001=>[3,1,3,1] [4,7,2,1,5,3,8,6]=>0110101=>[2,1,2,2,1] [3,7,4,5,2,1,8,6]=>0101101=>[2,2,1,2,1] [1,3,6,4,7,2,8,5]=>0010101=>[3,2,2,1] [3,6,4,7,2,8,5,1]=>0101011=>[2,2,2,1,1] [5,1,3,4,2,7,8,6]=>1001001=>[1,3,3,1] [5,4,2,1,3,7,8,6]=>1110001=>[1,1,1,4,1] [6,1,7,3,8,2,5,4]=>1010101=>[1,2,2,2,1] [1,6,7,3,8,2,5,4]=>0010101=>[3,2,2,1] [6,1,4,7,8,5,2,3]=>1000110=>[1,4,1,2] [6,3,2,1,7,8,5,4]=>1110011=>[1,1,1,3,1,1] [6,2,7,3,1,8,5,4]=>1011011=>[1,2,1,2,1,1] [6,2,4,7,8,1,5,3]=>1000101=>[1,4,2,1] [2,6,7,3,1,8,5,4]=>0011011=>[3,1,2,1,1] [8,6,5,1,3,2,4,7]=>1110100=>[1,1,1,2,3] [6,4,7,8,3,2,5,1]=>1001101=>[1,3,1,2,1] [3,8,4,7,1,2,5,6]=>0101000=>[2,2,4] [8,6,1,2,5,4,3,7]=>1100110=>[1,1,3,1,2] [4,8,6,1,5,3,2,7]=>0110110=>[2,1,2,1,2] [5,8,6,4,1,3,2,7]=>0111010=>[2,1,1,2,2] [8,3,6,4,5,2,1,7]=>1010110=>[1,2,2,1,2] [6,8,5,7,4,2,3,1]=>0101101=>[2,2,1,2,1] [2,3,8,7,1,6,4,5]=>0011010=>[3,1,2,2] [4,3,7,8,1,6,2,5]=>1001010=>[1,3,2,2] [3,5,8,7,4,1,2,6]=>0011100=>[3,1,1,3] [7,3,8,4,1,2,5,6]=>1011000=>[1,2,1,4] [4,8,1,2,7,3,5,6]=>0100100=>[2,3,3] [6,8,1,2,7,4,5,3]=>0100101=>[2,3,2,1] [5,6,8,4,1,3,7,2]=>0011001=>[3,1,3,1] [8,5,4,7,1,6,3,2]=>1101011=>[1,1,2,2,1,1] [2,5,8,7,3,6,4,1]=>0011011=>[3,1,2,1,1] [2,4,8,7,5,6,1,3]=>0011010=>[3,1,2,2] [3,7,4,8,5,6,2,1]=>0101011=>[2,2,2,1,1] [6,4,8,7,5,1,2,3]=>1011100=>[1,2,1,1,3] [3,8,5,2,4,6,7,1]=>0110001=>[2,1,4,1] [5,7,1,8,4,6,2,3]=>0101010=>[2,2,2,2] [6,3,8,7,2,1,4,5]=>1011100=>[1,2,1,1,3] [2,3,7,8,5,6,1,4]=>0001010=>[4,2,2] [3,7,6,8,5,1,2,4]=>0101100=>[2,2,1,3] [2,6,7,8,5,1,3,4]=>0001100=>[4,1,3] [2,4,7,8,1,6,3,5]=>0001010=>[4,2,2] [5,4,7,8,2,6,3,1]=>1001011=>[1,3,2,1,1] [2,8,3,4,1,5,7,6]=>0101001=>[2,2,3,1] [6,8,3,4,1,2,7,5]=>0101001=>[2,2,3,1] [6,8,7,1,5,2,3,4]=>0110100=>[2,1,2,3] [5,8,3,2,7,6,1,4]=>0110110=>[2,1,2,1,2] [2,5,3,1,8,6,7,4]=>0110101=>[2,1,2,2,1] [4,5,3,2,8,6,7,1]=>0110101=>[2,1,2,2,1] [3,5,8,6,1,4,7,2]=>0011001=>[3,1,3,1] [2,8,5,6,1,4,7,3]=>0101001=>[2,2,3,1] [4,8,6,1,5,2,7,3]=>0110101=>[2,1,2,2,1] [5,8,2,3,7,6,1,4]=>0100110=>[2,3,1,2] [4,6,8,5,3,2,7,1]=>0011101=>[3,1,1,2,1] [2,6,4,8,5,1,7,3]=>0101101=>[2,2,1,2,1] [7,6,4,8,5,2,1,3]=>1101110=>[1,1,2,1,1,2] [3,4,8,6,5,2,7,1]=>0011101=>[3,1,1,2,1] [3,4,8,7,5,6,2,1]=>0011011=>[3,1,2,1,1] [7,5,3,2,8,6,1,4]=>1110110=>[1,1,1,2,1,2] [2,5,1,3,8,6,7,4]=>0100101=>[2,3,2,1] [4,5,1,2,8,6,7,3]=>0100101=>[2,3,2,1] [5,4,8,1,3,6,7,2]=>1010001=>[1,2,4,1] [8,3,5,4,1,6,7,2]=>1011001=>[1,2,1,3,1] [7,3,4,8,5,6,1,2]=>1001010=>[1,3,2,2] [6,1,5,7,2,4,8,3]=>1001001=>[1,3,3,1] [7,4,5,1,2,3,8,6]=>1010001=>[1,2,4,1] [7,4,3,1,2,8,5,6]=>1110010=>[1,1,1,3,2] [8,4,7,6,2,1,5,3]=>1011101=>[1,2,1,1,2,1] [8,4,6,5,7,1,3,2]=>1010101=>[1,2,2,2,1] [7,2,1,4,5,8,3,6]=>1100010=>[1,1,4,2] [7,4,1,6,3,5,8,2]=>1101001=>[1,1,2,3,1] [3,5,7,6,4,1,8,2]=>0011101=>[3,1,1,2,1] [4,7,5,2,1,3,8,6]=>0111001=>[2,1,1,3,1] [5,7,2,3,6,4,8,1]=>0100101=>[2,3,2,1] [8,6,2,3,7,1,4,5]=>1100100=>[1,1,3,3] [5,7,2,4,8,3,6,1]=>0100101=>[2,3,2,1] [1,7,2,4,8,6,3,5]=>0100110=>[2,3,1,2] [7,6,1,5,4,8,3,2]=>1101011=>[1,1,2,2,1,1] [4,7,3,2,1,8,5,6]=>0111010=>[2,1,1,2,2] [3,1,7,2,5,8,4,6]=>1010010=>[1,2,3,2] [4,8,7,6,1,2,5,3]=>0111001=>[2,1,1,3,1] [7,8,6,1,3,2,5,4]=>0110101=>[2,1,2,2,1] [2,8,6,7,4,1,3,5]=>0101100=>[2,2,1,3] [5,8,6,4,2,3,1,7]=>0111010=>[2,1,1,2,2] [2,8,3,1,6,5,4,7]=>0110110=>[2,1,2,1,2] [3,8,1,2,5,7,4,6]=>0100010=>[2,4,2] [6,8,5,4,2,7,3,1]=>0111011=>[2,1,1,2,1,1] [6,8,3,1,2,4,5,7]=>0110000=>[2,1,5] [4,6,8,7,3,1,5,2]=>0011101=>[3,1,1,2,1] [6,5,3,7,8,4,1,2]=>1100110=>[1,1,3,1,2] [4,1,3,8,7,5,6,2]=>1001101=>[1,3,1,2,1] [6,2,7,4,8,1,3,5]=>1010100=>[1,2,2,3] [8,4,5,2,1,6,3,7]=>1011010=>[1,2,1,2,2] [4,3,2,6,8,1,7,5]=>1100101=>[1,1,3,2,1] [7,1,5,6,3,8,2,4]=>1001010=>[1,3,2,2] [5,1,2,4,7,8,3,6]=>1000010=>[1,5,2] [3,5,4,2,8,1,6,7]=>0110100=>[2,1,2,3] [5,1,3,8,4,2,7,6]=>1001101=>[1,3,1,2,1] [6,2,8,7,3,5,4,1]=>1011011=>[1,2,1,2,1,1] [7,1,8,4,3,6,5,2]=>1011011=>[1,2,1,2,1,1] [3,6,8,7,4,1,2,5]=>0011100=>[3,1,1,3] [5,6,8,1,7,3,2,4]=>0010110=>[3,2,1,2] [3,1,6,8,7,4,2,5]=>1001110=>[1,3,1,1,2] [7,4,6,8,2,1,5,3]=>1001101=>[1,3,1,2,1] [6,5,8,4,3,1,2,7]=>1011100=>[1,2,1,1,3] [2,5,8,3,6,7,4,1]=>0010011=>[3,3,1,1] [8,5,1,3,7,4,6,2]=>1100101=>[1,1,3,2,1] [1,5,8,3,7,4,2,6]=>0010110=>[3,2,1,2] [3,8,2,7,1,5,6,4]=>0101001=>[2,2,3,1] [5,8,2,3,6,4,1,7]=>0100110=>[2,3,1,2] [6,8,2,3,4,7,5,1]=>0100011=>[2,4,1,1] [7,5,1,8,4,2,6,3]=>1101101=>[1,1,2,1,2,1] [3,6,8,5,2,7,4,1]=>0011011=>[3,1,2,1,1] [2,1,6,5,4,8,3,7]=>1011010=>[1,2,1,2,2] [2,1,7,8,4,6,5,3]=>1001011=>[1,3,2,1,1] [2,1,7,4,3,5,8,6]=>1011001=>[1,2,1,3,1] [3,5,7,8,4,6,1,2]=>0001010=>[4,2,2] [7,5,2,8,4,6,3,1]=>1101011=>[1,1,2,2,1,1] [7,8,2,4,3,1,5,6]=>0101100=>[2,2,1,3] [7,6,3,8,1,5,4,2]=>1101011=>[1,1,2,2,1,1] [8,4,3,1,7,5,2,6]=>1110110=>[1,1,1,2,1,2] [7,3,1,4,6,8,5,2]=>1100011=>[1,1,4,1,1] [4,3,8,7,1,6,5,2]=>1011011=>[1,2,1,2,1,1] [4,7,1,8,5,2,6,3]=>0101101=>[2,2,1,2,1] [5,2,4,3,6,8,1,7]=>1010010=>[1,2,3,2] [3,8,6,5,4,1,2,7]=>0111100=>[2,1,1,1,3] [4,7,5,6,3,8,2,1]=>0101011=>[2,2,2,1,1] [4,2,7,5,8,3,6,1]=>1010101=>[1,2,2,2,1] [5,8,2,7,3,4,6,1]=>0101001=>[2,2,3,1] [6,7,2,4,5,3,8,1]=>0100101=>[2,3,2,1] [6,3,2,1,4,8,5,7]=>1110010=>[1,1,1,3,2] [6,2,3,1,4,7,8,5]=>1010001=>[1,2,4,1] [5,2,1,3,6,4,8,7]=>1100101=>[1,1,3,2,1] [7,1,8,3,5,4,6,2]=>1010101=>[1,2,2,2,1] [7,1,2,4,8,5,6,3]=>1000101=>[1,4,2,1] [7,2,1,3,4,5,8,6]=>1100001=>[1,1,5,1] [8,7,3,5,4,2,1,6]=>1101110=>[1,1,2,1,1,2] [8,4,6,5,3,2,1,7]=>1011110=>[1,2,1,1,1,2] [5,1,6,4,3,2,8,7]=>1011101=>[1,2,1,1,2,1] [8,3,7,1,4,6,5,2]=>1010011=>[1,2,3,1,1] [2,8,3,6,4,7,5,1]=>0101011=>[2,2,2,1,1] [6,2,1,7,5,8,3,4]=>1101010=>[1,1,2,2,2] [6,3,8,7,5,2,1,4]=>1011110=>[1,2,1,1,1,2] [6,7,2,1,5,8,4,3]=>0110011=>[2,1,3,1,1] [9,1,8,7,6,5,4,3,2]=>10111111=>[1,2,1,1,1,1,1,1] [7,6,8,1,5,4,3,2]=>1010111=>[1,2,2,1,1,1] [7,1,9,8,6,5,4,3,2]=>10111111=>[1,2,1,1,1,1,1,1] [6,1,9,8,7,5,4,3,2]=>10111111=>[1,2,1,1,1,1,1,1] [5,4,8,7,6,1,3,2]=>1011101=>[1,2,1,1,2,1] [5,1,9,8,7,6,4,3,2]=>10111111=>[1,2,1,1,1,1,1,1] [4,1,9,8,7,6,5,3,2]=>10111111=>[1,2,1,1,1,1,1,1] [3,1,9,8,7,6,5,4,2]=>10111111=>[1,2,1,1,1,1,1,1] [10,1,9,8,7,6,5,4,3,2]=>101111111=>[1,2,1,1,1,1,1,1,1] [9,8,1,7,6,5,4,3,2]=>11011111=>[1,1,2,1,1,1,1,1] [7,6,1,8,5,4,3,2]=>1101111=>[1,1,2,1,1,1,1] [8,7,9,1,6,5,4,3,2]=>10101111=>[1,2,2,1,1,1,1] [8,1,10,9,7,6,5,4,3,2]=>101111111=>[1,2,1,1,1,1,1,1,1] [6,5,8,1,7,4,3,2]=>1010111=>[1,2,2,1,1,1] [7,6,9,8,1,5,4,3,2]=>10110111=>[1,2,1,2,1,1,1] [7,1,10,9,8,6,5,4,3,2]=>101111111=>[1,2,1,1,1,1,1,1,1] [6,5,9,8,7,1,4,3,2]=>10111011=>[1,2,1,1,2,1,1] [6,1,10,9,8,7,5,4,3,2]=>101111111=>[1,2,1,1,1,1,1,1,1] [6,5,8,7,4,1,3,2]=>1011101=>[1,2,1,1,2,1] [5,4,9,8,7,6,1,3,2]=>10111101=>[1,2,1,1,1,2,1] [5,1,10,9,8,7,6,4,3,2]=>101111111=>[1,2,1,1,1,1,1,1,1] [4,3,9,8,7,6,5,1,2]=>10111110=>[1,2,1,1,1,1,2] [4,1,10,9,8,7,6,5,3,2]=>101111111=>[1,2,1,1,1,1,1,1,1] [3,2,9,8,7,6,5,4,1]=>10111111=>[1,2,1,1,1,1,1,1] [3,1,10,9,8,7,6,5,4,2]=>101111111=>[1,2,1,1,1,1,1,1,1] [1,6,4,8,3,2,5,7]=>0101100=>[2,2,1,3] [1,8,3,5,6,2,4,7]=>0100100=>[2,3,3] [1,4,8,5,6,2,3,7]=>0010100=>[3,2,3] [1,2,8,5,3,7,4,6]=>0011010=>[3,1,2,2] [6,1,4,8,2,3,5,7]=>1001000=>[1,3,4] [8,7,2,5,6,1,4,3]=>1100101=>[1,1,3,2,1] [1,8,2,5,4,7,3,6]=>0101010=>[2,2,2,2] [5,7,4,1,2,3,8,6]=>0110001=>[2,1,4,1] [1,7,4,2,5,3,8,6]=>0110101=>[2,1,2,2,1] [6,7,4,2,1,3,8,5]=>0111001=>[2,1,1,3,1] [6,4,3,8,5,7,1,2]=>1101010=>[1,1,2,2,2] [7,4,3,6,2,1,5,8]=>1101100=>[1,1,2,1,3] [6,8,4,2,3,1,5,7]=>0110100=>[2,1,2,3] [3,7,5,2,4,1,6,8]=>0110100=>[2,1,2,3] [5,2,8,6,1,3,4,7]=>1011000=>[1,2,1,4] [7,4,8,2,3,1,5,6]=>1010100=>[1,2,2,3] [4,2,7,3,1,5,6,8]=>1011000=>[1,2,1,4] [7,6,4,5,1,8,2,3]=>1101010=>[1,1,2,2,2] [8,6,4,1,3,7,2,5]=>1110010=>[1,1,1,3,2] [5,3,6,1,8,2,4,7]=>1010100=>[1,2,2,3] [3,1,8,5,4,7,6,2]=>1011011=>[1,2,1,2,1,1] [4,1,5,8,3,7,6,2]=>1001011=>[1,3,2,1,1] [4,1,5,3,8,7,6,2]=>1010111=>[1,2,2,1,1,1] [4,5,1,8,2,7,6,3]=>0101011=>[2,2,2,1,1] [4,8,5,3,1,7,6,2]=>0111011=>[2,1,1,2,1,1] [4,5,2,8,1,7,6,3]=>0101011=>[2,2,2,1,1] [4,5,2,1,8,7,6,3]=>0110111=>[2,1,2,1,1,1] [5,6,2,7,8,1,4,3]=>0100101=>[2,3,2,1] [4,6,2,8,7,1,5,3]=>0101101=>[2,2,1,2,1] [4,8,6,3,7,1,5,2]=>0110101=>[2,1,2,2,1] [4,8,6,3,7,5,1,2]=>0110110=>[2,1,2,1,2] [4,6,8,2,7,5,1,3]=>0010110=>[3,2,1,2] [4,6,2,8,7,5,1,3]=>0101110=>[2,2,1,1,2] [5,6,2,7,4,1,8,3]=>0101101=>[2,2,1,2,1] [5,6,7,2,3,1,8,4]=>0010101=>[3,2,2,1] [5,6,7,2,8,3,1,4]=>0010110=>[3,2,1,2] [5,6,7,2,1,8,3,4]=>0011010=>[3,1,2,2] [5,6,7,2,1,3,8,4]=>0011001=>[3,1,3,1] [5,6,1,7,8,2,4,3]=>0100101=>[2,3,2,1] [5,6,1,7,2,4,8,3]=>0101001=>[2,2,3,1] [5,1,6,7,8,3,4,2]=>1000101=>[1,4,2,1] [4,1,6,8,7,3,5,2]=>1001101=>[1,3,1,2,1] [3,1,8,6,7,5,4,2]=>1010111=>[1,2,2,1,1,1] [4,1,6,8,7,5,3,2]=>1001111=>[1,3,1,1,1,1] [5,1,6,7,4,8,3,2]=>1001011=>[1,3,2,1,1] [5,6,1,7,8,4,2,3]=>0100110=>[2,3,1,2] [4,6,8,1,7,5,2,3]=>0010110=>[3,2,1,2] [4,8,6,1,7,5,3,2]=>0110111=>[2,1,2,1,1,1] [5,6,7,1,8,3,2,4]=>0010110=>[3,2,1,2] [5,6,7,1,3,8,2,4]=>0010010=>[3,3,2] [5,6,7,1,3,2,8,4]=>0010101=>[3,2,2,1] [5,6,7,3,1,2,8,4]=>0011001=>[3,1,3,1] [5,6,7,3,8,1,2,4]=>0010100=>[3,2,3] [5,6,8,7,4,2,1,3]=>0011110=>[3,1,1,1,2] [5,6,7,3,8,2,1,4]=>0010110=>[3,2,1,2] [7,4,6,2,3,5,1,8]=>1010010=>[1,2,3,2] [1,4,8,6,3,2,5,7]=>0011100=>[3,1,1,3] [7,4,1,6,3,8,5,2]=>1101011=>[1,1,2,2,1,1] [7,6,3,1,5,8,4,2]=>1110011=>[1,1,1,3,1,1] [6,4,2,5,7,3,1,8]=>1100110=>[1,1,3,1,2] [4,2,5,7,6,3,1,8]=>1001110=>[1,3,1,1,2] [7,4,5,6,1,8,3,2]=>1001011=>[1,3,2,1,1] [4,1,5,8,6,3,2,7]=>1001110=>[1,3,1,1,2] [3,2,7,6,1,8,5,4]=>1011011=>[1,2,1,2,1,1] [4,7,5,1,6,8,2,3]=>0110010=>[2,1,3,2] [8,6,5,1,2,7,4,3]=>1110011=>[1,1,1,3,1,1] [3,2,5,1,4,8,7,6]=>1010011=>[1,2,3,1,1] [8,5,4,1,3,2,7,6]=>1110101=>[1,1,1,2,2,1] [1,4,2,3,6,8,7,5]=>0100011=>[2,4,1,1] [5,4,8,3,7,1,6,2]=>1010101=>[1,2,2,2,1] [4,7,1,8,2,5,3,6]=>0101010=>[2,2,2,2] [6,4,1,8,5,3,7,2]=>1101101=>[1,1,2,1,2,1] [8,4,6,1,3,5,2,7]=>1010010=>[1,2,3,2] [3,2,5,4,7,8,1,6]=>1010010=>[1,2,3,2] [5,2,4,3,7,8,1,6]=>1010010=>[1,2,3,2] [8,1,6,7,2,5,3,4]=>1001010=>[1,3,2,2] [3,1,7,6,5,8,2,4]=>1011010=>[1,2,1,2,2] [1,2,7,5,6,8,3,4]=>0010010=>[3,3,2] [6,1,4,7,2,8,3,5]=>1001010=>[1,3,2,2] [3,2,1,7,6,8,4,5]=>1101010=>[1,1,2,2,2] [3,2,8,6,4,7,1,5]=>1011010=>[1,2,1,2,2] [7,8,4,6,3,2,1,5]=>0101110=>[2,2,1,1,2] [1,8,6,5,3,7,2,4]=>0111010=>[2,1,1,2,2] [8,2,5,3,6,7,1,4]=>1010010=>[1,2,3,2] [3,8,5,2,7,6,1,4]=>0110110=>[2,1,2,1,2] [4,7,5,3,1,8,6,2]=>0111011=>[2,1,1,2,1,1] [4,5,3,6,8,1,7,2]=>0100101=>[2,3,2,1] [3,5,2,6,1,8,7,4]=>0101011=>[2,2,2,1,1] [1,6,3,5,7,2,8,4]=>0100101=>[2,3,2,1] [1,5,4,6,7,8,2,3]=>0100010=>[2,4,2] [8,4,6,5,7,2,1,3]=>1010110=>[1,2,2,1,2] [7,4,5,2,6,8,1,3]=>1010010=>[1,2,3,2] [5,4,2,6,8,7,1,3]=>1100110=>[1,1,3,1,2] [7,8,4,3,1,2,6,5]=>0111001=>[2,1,1,3,1] [6,5,1,4,3,2,8,7]=>1101101=>[1,1,2,1,2,1] [2,6,5,1,4,7,3,8]=>0110010=>[2,1,3,2] [3,6,4,5,2,1,8,7]=>0101101=>[2,2,1,2,1] [5,7,4,1,3,8,6,2]=>0110011=>[2,1,3,1,1] [7,5,4,2,3,8,1,6]=>1110010=>[1,1,1,3,2] [5,2,6,7,3,1,4,8]=>1001100=>[1,3,1,3] [2,4,3,8,6,1,5,7]=>0101100=>[2,2,1,3] [7,8,1,3,5,6,2,4]=>0100010=>[2,4,2] [7,8,3,1,5,6,2,4]=>0110010=>[2,1,3,2] [7,1,3,8,5,6,2,4]=>1001010=>[1,3,2,2] [1,7,8,3,5,6,2,4]=>0010010=>[3,3,2] [5,1,7,8,3,4,6,2]=>1001001=>[1,3,3,1] [1,5,7,8,3,4,6,2]=>0001001=>[4,3,1] [3,7,1,5,8,6,2,4]=>0100110=>[2,3,1,2] [1,3,7,8,2,5,6,4]=>0001001=>[4,3,1] [3,1,7,8,5,2,6,4]=>1001101=>[1,3,1,2,1] [1,3,7,5,8,2,6,4]=>0010101=>[3,2,2,1] [3,1,7,5,8,2,6,4]=>1010101=>[1,2,2,2,1] [3,5,7,1,8,4,6,2]=>0010101=>[3,2,2,1] [3,5,7,8,1,4,6,2]=>0001001=>[4,3,1] [5,3,7,8,4,6,1,2]=>1001010=>[1,3,2,2] [5,3,7,8,4,1,6,2]=>1001101=>[1,3,1,2,1] [5,3,7,8,1,4,6,2]=>1001001=>[1,3,3,1] [5,3,7,1,8,4,6,2]=>1010101=>[1,2,2,2,1] [1,5,3,7,8,4,2,6]=>0100110=>[2,3,1,2] [5,1,3,7,8,4,2,6]=>1000110=>[1,4,1,2] [3,6,2,1,4,5,8,7]=>0110001=>[2,1,4,1] [4,6,2,5,1,3,8,7]=>0101001=>[2,2,3,1] [6,4,2,5,1,3,8,7]=>1101001=>[1,1,2,3,1] [8,6,1,7,3,2,4,5]=>1101100=>[1,1,2,1,3] [2,5,8,1,7,3,4,6]=>0010100=>[3,2,3] [6,8,2,7,3,1,4,5]=>0101100=>[2,2,1,3] [6,8,2,3,7,1,4,5]=>0100100=>[2,3,3] [8,6,2,7,4,5,1,3]=>1101010=>[1,1,2,2,2] [5,2,8,1,7,3,4,6]=>1010100=>[1,2,2,3] [4,2,3,8,1,5,6,7]=>1001000=>[1,3,4] [5,2,8,3,7,1,4,6]=>1010100=>[1,2,2,3] [5,2,8,4,6,1,3,7]=>1010100=>[1,2,2,3] [2,1,5,8,4,3,6,7]=>1001100=>[1,3,1,3] [5,8,3,2,7,1,4,6]=>0110100=>[2,1,2,3] [4,1,3,8,2,5,6,7]=>1001000=>[1,3,4] [3,5,8,2,7,1,4,6]=>0010100=>[3,2,3] [4,5,8,2,6,1,3,7]=>0010100=>[3,2,3] [2,6,8,3,7,1,4,5]=>0010100=>[3,2,3] [5,1,8,3,7,2,4,6]=>1010100=>[1,2,2,3] [5,1,8,4,6,2,3,7]=>1010100=>[1,2,2,3] [5,8,4,1,6,2,3,7]=>0110100=>[2,1,2,3] [4,5,8,1,6,2,3,7]=>0010100=>[3,2,3] [5,4,8,1,6,2,3,7]=>1010100=>[1,2,2,3] [4,8,5,1,6,2,3,7]=>0110100=>[2,1,2,3] [2,1,5,4,8,3,6,7]=>1010100=>[1,2,2,3] [2,4,3,8,1,5,6,7]=>0101000=>[2,2,4] [3,1,8,4,2,5,6,7]=>1011000=>[1,2,1,4] [3,8,4,2,1,5,6,7]=>0111000=>[2,1,1,4] [2,3,8,4,1,5,6,7]=>0011000=>[3,1,4] [3,4,2,8,1,5,6,7]=>0101000=>[2,2,4] [3,8,5,2,7,1,4,6]=>0110100=>[2,1,2,3] [4,8,5,2,6,1,3,7]=>0110100=>[2,1,2,3] [2,1,4,8,5,3,6,7]=>1001100=>[1,3,1,3] [3,2,8,4,1,5,6,7]=>1011000=>[1,2,1,4] [2,8,4,3,1,5,6,7]=>0111000=>[2,1,1,4] [4,1,7,5,6,2,8,3]=>1010101=>[1,2,2,2,1] [5,7,4,3,8,1,6,2]=>0110101=>[2,1,2,2,1] [5,7,4,3,8,2,6,1]=>0110101=>[2,1,2,2,1] [3,8,4,2,6,7,5,1]=>0110011=>[2,1,3,1,1] [3,8,4,1,6,7,5,2]=>0110011=>[2,1,3,1,1] [6,1,7,5,2,8,4,3]=>1011011=>[1,2,1,2,1,1] [5,6,4,3,2,8,1,7]=>0111010=>[2,1,1,2,2] [2,6,7,5,3,8,4,1]=>0011011=>[3,1,2,1,1] [6,7,4,8,2,5,3,1]=>0101011=>[2,2,2,1,1] [2,1,6,7,5,3,8,4]=>1001101=>[1,3,1,2,1] [3,8,4,2,1,6,7,5]=>0111001=>[2,1,1,3,1] [5,7,4,3,8,2,1,6]=>0110110=>[2,1,2,1,2] [6,7,4,8,1,2,5,3]=>0101001=>[2,2,3,1] [6,7,5,8,1,2,4,3]=>0101001=>[2,2,3,1] [6,7,4,8,3,1,2,5]=>0101100=>[2,2,1,3] [3,4,8,1,2,5,7,6]=>0010001=>[3,4,1] [6,1,3,4,8,2,5,7]=>1000100=>[1,4,3] [6,2,3,4,8,1,5,7]=>1000100=>[1,4,3] [3,4,8,2,1,5,7,6]=>0011001=>[3,1,3,1] [6,7,5,8,2,4,3,1]=>0101011=>[2,2,2,1,1] [6,7,5,8,3,1,4,2]=>0101101=>[2,2,1,2,1] [3,4,8,1,5,7,6,2]=>0010011=>[3,3,1,1] [2,5,7,6,1,4,8,3]=>0011001=>[3,1,3,1] [6,7,4,8,2,3,5,1]=>0101001=>[2,2,3,1] [6,7,4,8,1,3,5,2]=>0101001=>[2,2,3,1] [2,6,7,5,1,3,8,4]=>0011001=>[3,1,3,1] [6,3,1,4,8,2,5,7]=>1100100=>[1,1,3,3] [6,7,4,8,1,3,2,5]=>0101010=>[2,2,2,2] [6,7,5,8,4,1,3,2]=>0101101=>[2,2,1,2,1] [6,7,4,8,2,1,3,5]=>0101100=>[2,2,1,3] [6,7,4,8,1,2,3,5]=>0101000=>[2,2,4] [1,5,6,3,4,8,2,7]=>0010010=>[3,3,2] [1,4,3,6,5,8,2,7]=>0101010=>[2,2,2,2] [8,1,3,4,7,2,6,5]=>1000101=>[1,4,2,1] [5,1,7,3,4,8,2,6]=>1010010=>[1,2,3,2] [6,7,8,2,3,5,4,1]=>0010011=>[3,3,1,1] [5,8,6,2,3,7,4,1]=>0110011=>[2,1,3,1,1] [2,8,3,4,7,5,6,1]=>0100101=>[2,3,2,1] [1,8,3,4,7,6,2,5]=>0100110=>[2,3,1,2] [8,7,2,3,6,5,4,1]=>1100111=>[1,1,3,1,1,1] [3,8,1,7,5,2,6,4]=>0101101=>[2,2,1,2,1] [4,8,1,6,7,2,5,3]=>0100101=>[2,3,2,1] [2,1,3,8,4,6,5,7]=>1001010=>[1,3,2,2] [8,2,1,7,4,3,6,5]=>1101101=>[1,1,2,1,2,1] [1,3,2,8,5,4,6,7]=>0101100=>[2,2,1,3] [8,3,1,5,7,2,6,4]=>1100101=>[1,1,3,2,1] [8,4,5,1,7,2,6,3]=>1010101=>[1,2,2,2,1] [1,5,6,8,7,4,2,3]=>0001110=>[4,1,1,2] [8,4,5,7,6,3,2,1]=>1001111=>[1,3,1,1,1,1] [1,4,8,5,7,6,2,3]=>0010110=>[3,2,1,2] [2,4,8,5,7,3,6,1]=>0010101=>[3,2,2,1] [4,3,8,6,5,7,2,1]=>1011011=>[1,2,1,2,1,1] [6,7,2,8,5,3,4,1]=>0101101=>[2,2,1,2,1] [5,2,7,8,6,3,4,1]=>1001101=>[1,3,1,2,1] [4,2,8,6,7,3,5,1]=>1010101=>[1,2,2,2,1] [3,2,8,7,5,4,6,1]=>1011101=>[1,2,1,1,2,1] [3,1,8,7,5,6,2,4]=>1011010=>[1,2,1,2,2] [4,1,8,6,7,5,2,3]=>1010110=>[1,2,2,1,2] [5,1,7,8,6,4,2,3]=>1001110=>[1,3,1,1,2] [6,7,1,8,5,4,2,3]=>0101110=>[2,2,1,1,2] [7,8,3,2,6,1,4,5]=>0110100=>[2,1,2,3] [3,4,8,2,6,1,7,5]=>0010101=>[3,2,2,1] [7,8,4,1,5,6,3,2]=>0110011=>[2,1,3,1,1] [7,8,1,4,5,6,3,2]=>0100011=>[2,4,1,1] [7,8,1,2,6,3,4,5]=>0100100=>[2,3,3] [7,8,5,1,4,6,3,2]=>0110011=>[2,1,3,1,1] [7,8,4,5,1,6,3,2]=>0101011=>[2,2,2,1,1] [5,3,8,4,1,6,7,2]=>1011001=>[1,2,1,3,1] [6,2,4,8,1,5,3,7]=>1001010=>[1,3,2,2] [3,4,8,5,1,6,7,2]=>0011001=>[3,1,3,1] [3,5,8,1,4,6,7,2]=>0010001=>[3,4,1] [1,4,8,2,6,3,7,5]=>0010101=>[3,2,2,1] [5,3,8,1,4,6,7,2]=>1010001=>[1,2,4,1] [4,2,6,8,1,5,3,7]=>1001010=>[1,3,2,2] [7,4,2,8,1,5,3,6]=>1101010=>[1,1,2,2,2] [6,1,7,5,8,4,3,2]=>1010111=>[1,2,2,1,1,1] [6,2,1,8,4,5,3,7]=>1101010=>[1,1,2,2,2] [1,2,7,8,5,3,4,6]=>0001100=>[4,1,3] [6,3,7,8,5,4,1,2]=>1001110=>[1,3,1,1,2] [6,1,5,7,8,4,3,2]=>1000111=>[1,4,1,1,1] [1,7,5,6,8,4,3,2]=>0100111=>[2,3,1,1,1] [3,1,8,4,5,6,7,2]=>1010001=>[1,2,4,1] [2,1,4,8,6,5,3,7]=>1001110=>[1,3,1,1,2] [2,4,1,8,6,5,3,7]=>0101110=>[2,2,1,1,2] [4,2,1,8,6,5,3,7]=>1101110=>[1,1,2,1,1,2] [3,2,7,8,5,1,4,6]=>1001100=>[1,3,1,3] [2,3,7,8,5,1,4,6]=>0001100=>[4,1,3] [2,7,3,8,5,1,4,6]=>0101100=>[2,2,1,3] [3,6,2,8,5,1,4,7]=>0101100=>[2,2,1,3] [4,1,2,8,7,5,3,6]=>1001110=>[1,3,1,1,2] [1,4,2,8,7,5,3,6]=>0101110=>[2,2,1,1,2] [7,3,6,8,5,4,1,2]=>1001110=>[1,3,1,1,2] [7,2,1,8,5,3,4,6]=>1101100=>[1,1,2,1,3] [1,2,6,8,4,5,3,7]=>0001010=>[4,2,2] [7,1,6,5,8,4,3,2]=>1010111=>[1,2,2,1,1,1] [6,5,7,1,8,4,3,2]=>1010111=>[1,2,2,1,1,1] [5,7,6,1,8,4,3,2]=>0110111=>[2,1,2,1,1,1] [6,7,1,5,8,4,3,2]=>0100111=>[2,3,1,1,1] [6,7,3,8,5,4,1,2]=>0101110=>[2,2,1,1,2] [7,1,2,8,4,5,3,6]=>1001010=>[1,3,2,2] [7,6,1,5,8,4,3,2]=>1100111=>[1,1,3,1,1,1] [7,5,6,1,8,4,3,2]=>1010111=>[1,2,2,1,1,1] [9,10,7,8,5,6,2,1,3,4]=>010101100=>[2,2,2,1,3] [9,10,7,8,4,3,5,6,1,2]=>010110010=>[2,2,1,3,2] [9,10,7,8,4,2,5,1,3,6]=>010110100=>[2,2,1,2,3] [9,10,7,8,3,2,1,4,5,6]=>010111000=>[2,2,1,1,4] [9,10,6,5,7,8,3,4,1,2]=>011001010=>[2,1,3,2,2] [9,10,6,5,7,8,2,1,3,4]=>011001100=>[2,1,3,1,3] [9,10,6,4,7,3,5,8,1,2]=>011010010=>[2,1,2,3,2] [9,10,6,4,7,2,5,1,3,8]=>011010100=>[2,1,2,2,3] [9,10,6,3,7,2,1,4,5,8]=>011011000=>[2,1,2,1,4] [9,10,5,4,3,6,7,8,1,2]=>011100010=>[2,1,1,4,2] [9,10,5,4,2,6,7,1,3,8]=>011100100=>[2,1,1,3,3] [9,10,5,3,2,6,1,4,7,8]=>011101000=>[2,1,1,2,4] [9,10,4,3,2,1,5,6,7,8]=>011110000=>[2,1,1,1,5] [8,7,9,10,5,6,3,4,1,2]=>100101010=>[1,3,2,2,2] [8,7,9,10,5,6,2,1,3,4]=>100101100=>[1,3,2,1,3] [8,7,9,10,4,3,5,6,1,2]=>100110010=>[1,3,1,3,2] [8,7,9,10,4,2,5,1,3,6]=>100110100=>[1,3,1,2,3] [8,7,9,10,3,2,1,4,5,6]=>100111000=>[1,3,1,1,4] [8,6,9,5,7,10,3,4,1,2]=>101001010=>[1,2,3,2,2] [8,6,9,5,7,10,2,1,3,4]=>101001100=>[1,2,3,1,3] [8,6,9,4,7,3,5,10,1,2]=>101010010=>[1,2,2,3,2] [8,6,9,3,7,2,1,4,5,10]=>101011000=>[1,2,2,1,4] [8,5,9,4,3,6,7,10,1,2]=>101100010=>[1,2,1,4,2] [8,5,9,4,2,6,7,1,3,10]=>101100100=>[1,2,1,3,3] [8,5,9,3,2,6,1,4,7,10]=>101101000=>[1,2,1,2,4] [8,4,9,3,2,1,5,6,7,10]=>101110000=>[1,2,1,1,5] [7,6,5,8,9,10,3,4,1,2]=>110001010=>[1,1,4,2,2] [7,6,5,8,9,10,2,1,3,4]=>110001100=>[1,1,4,1,3] [7,6,4,8,9,3,5,10,1,2]=>110010010=>[1,1,3,3,2] [7,6,4,8,9,2,5,1,3,10]=>110010100=>[1,1,3,2,3] [7,6,3,8,9,2,1,4,5,10]=>110011000=>[1,1,3,1,4] [7,5,4,8,3,6,9,10,1,2]=>110100010=>[1,1,2,4,2] [7,5,4,8,2,6,9,1,3,10]=>110100100=>[1,1,2,3,3] [7,4,3,8,2,1,5,6,9,10]=>110110000=>[1,1,2,1,5] [6,5,4,3,7,8,9,10,1,2]=>111000010=>[1,1,1,5,2] [6,5,4,2,7,8,9,1,3,10]=>111000100=>[1,1,1,4,3] [6,5,3,2,7,8,1,4,9,10]=>111001000=>[1,1,1,3,4] [11,12,9,10,7,8,5,6,2,1,3,4]=>01010101100=>[2,2,2,2,1,3] [11,12,9,10,7,8,4,2,5,1,3,6]=>01010110100=>[2,2,2,1,2,3] [11,12,9,10,6,4,7,2,5,1,3,8]=>01011010100=>[2,2,1,2,2,3] [11,12,9,10,5,4,3,6,7,8,1,2]=>01011100010=>[2,2,1,1,4,2] [11,12,9,10,5,3,2,6,1,4,7,8]=>01011101000=>[2,2,1,1,2,4] [11,12,9,10,4,3,2,1,5,6,7,8]=>01011110000=>[2,2,1,1,1,5] [11,12,8,7,9,10,5,6,3,4,1,2]=>01100101010=>[2,1,3,2,2,2] [11,12,8,6,9,5,7,10,3,4,1,2]=>01101001010=>[2,1,2,3,2,2] [11,12,8,6,9,4,7,3,5,10,1,2]=>01101010010=>[2,1,2,2,3,2] [11,12,8,6,9,4,7,2,5,1,3,10]=>01101010100=>[2,1,2,2,2,3] [11,12,8,4,9,3,2,1,5,6,7,10]=>01101110000=>[2,1,2,1,1,5] [11,12,7,5,4,8,3,6,9,10,1,2]=>01110100010=>[2,1,1,2,4,2] [11,12,7,4,3,8,2,1,5,6,9,10]=>01110110000=>[2,1,1,2,1,5] [11,12,5,4,3,2,1,6,7,8,9,10]=>01111100000=>[2,1,1,1,1,6] [10,9,11,12,7,8,5,6,3,4,1,2]=>10010101010=>[1,3,2,2,2,2] [10,8,11,7,9,12,5,6,3,4,1,2]=>10100101010=>[1,2,3,2,2,2] [10,8,11,6,9,5,7,12,3,4,1,2]=>10101001010=>[1,2,2,3,2,2] [10,8,11,6,9,4,7,3,5,12,1,2]=>10101010010=>[1,2,2,2,3,2] [10,8,11,6,9,4,7,2,5,1,3,12]=>10101010100=>[1,2,2,2,2,3] [10,6,11,4,3,2,7,1,5,8,9,12]=>10111010000=>[1,2,1,1,2,5] [10,5,11,4,3,2,1,6,7,8,9,12]=>10111100000=>[1,2,1,1,1,6] [9,8,7,10,11,12,3,2,1,4,5,6]=>11000111000=>[1,1,4,1,1,4] [9,8,6,10,11,4,7,2,5,1,3,12]=>11001010100=>[1,1,3,2,2,3] [9,7,6,10,4,8,11,2,5,1,3,12]=>11010010100=>[1,1,2,3,2,3] [9,7,5,10,4,8,2,6,11,1,3,12]=>11010100100=>[1,1,2,2,3,3] [9,7,5,10,3,8,2,6,1,4,11,12]=>11010101000=>[1,1,2,2,2,4] [9,5,4,10,3,2,1,6,7,8,11,12]=>11011100000=>[1,1,2,1,1,6] [8,6,5,4,9,3,7,10,11,12,1,2]=>11101000010=>[1,1,1,2,5,2] [7,6,5,4,3,8,9,10,11,12,1,2]=>11110000010=>[1,1,1,1,6,2] [7,6,5,3,2,8,9,10,1,4,11,12]=>11110001000=>[1,1,1,1,4,4] [7,1,6,5,3,2,4,8]=>1011100=>[1,2,1,1,3] [1,8,7,5,3,2,4,6]=>0111100=>[2,1,1,1,3] [1,8,7,4,2,5,3,6]=>0111010=>[2,1,1,2,2] [8,7,4,2,5,3,6,1]=>1110101=>[1,1,1,2,2,1] [7,1,6,4,2,5,3,8]=>1011010=>[1,2,1,2,2] [2,6,5,4,7,1,3,8]=>0110100=>[2,1,2,3] [7,1,5,3,6,4,2,8]=>1010110=>[1,2,2,1,2] [5,3,7,1,6,4,2,8]=>1010110=>[1,2,2,1,2] [5,3,6,4,2,7,1,8]=>1011010=>[1,2,1,2,2] [1,5,3,8,7,4,2,6]=>0101110=>[2,2,1,1,2] [7,4,2,8,6,3,5,1]=>1101101=>[1,1,2,1,2,1] [5,3,6,1,8,7,4,2]=>1010111=>[1,2,2,1,1,1] [6,1,5,3,8,7,4,2]=>1010111=>[1,2,2,1,1,1] [2,8,7,5,4,6,1,3]=>0111010=>[2,1,1,2,2] [2,3,1,8,7,5,4,6]=>0101110=>[2,2,1,1,2] [5,3,8,7,4,2,1,6]=>1011110=>[1,2,1,1,1,2] [7,4,2,1,8,6,3,5]=>1110110=>[1,1,1,2,1,2] [8,6,3,5,7,4,2,1]=>1100111=>[1,1,3,1,1,1] [1,8,6,3,5,7,4,2]=>0110011=>[2,1,3,1,1] [6,3,8,5,2,1,7,4]=>1011101=>[1,2,1,1,2,1] [8,6,3,7,4,2,1,5]=>1101110=>[1,1,2,1,1,2] [2,8,6,4,7,5,1,3]=>0110110=>[2,1,2,1,2] [5,1,8,6,3,7,4,2]=>1011011=>[1,2,1,2,1,1] [6,3,7,4,1,8,5,2]=>1011011=>[1,2,1,2,1,1] [8,5,2,6,3,7,4,1]=>1101011=>[1,1,2,2,1,1] [6,1,8,7,4,2,5,3]=>1011101=>[1,2,1,1,2,1] [8,6,3,7,4,2,5,1]=>1101101=>[1,1,2,1,2,1] [1,8,6,3,2,4,7,5]=>0111001=>[2,1,1,3,1] [8,6,3,2,4,7,5,1]=>1110011=>[1,1,1,3,1,1] [7,5,1,8,6,3,2,4]=>1101110=>[1,1,2,1,1,2] [6,1,8,7,5,3,2,4]=>1011110=>[1,2,1,1,1,2] [4,3,2,8,7,6,1,5]=>1101110=>[1,1,2,1,1,2] [2,4,5,1,3,8,7,6]=>0010011=>[3,3,1,1] [7,5,8,6,3,2,4,1]=>1011101=>[1,2,1,1,2,1] [1,7,5,8,6,3,2,4]=>0101110=>[2,2,1,1,2] [1,7,4,2,5,8,6,3]=>0110011=>[2,1,3,1,1] [8,6,3,1,7,4,2,5]=>1110110=>[1,1,1,2,1,2] [8,7,4,2,5,3,1,6]=>1110110=>[1,1,1,2,1,2] [5,3,1,8,7,4,2,6]=>1101110=>[1,1,2,1,1,2] [4,1,8,7,5,3,2,6]=>1011110=>[1,2,1,1,1,2] [2,8,6,4,1,3,7,5]=>0111001=>[2,1,1,3,1] [4,1,8,6,3,2,7,5]=>1011101=>[1,2,1,1,2,1] [7,4,2,8,6,3,1,5]=>1101110=>[1,1,2,1,1,2] [6,3,1,8,5,2,7,4]=>1101101=>[1,1,2,1,2,1] [8,5,2,6,3,1,7,4]=>1101101=>[1,1,2,1,2,1] [7,4,8,5,2,6,3,1]=>1011011=>[1,2,1,2,1,1] [1,8,5,2,7,4,6,3]=>0110101=>[2,1,2,2,1] [8,5,2,7,4,6,3,1]=>1101011=>[1,1,2,2,1,1] [7,4,6,3,1,8,5,2]=>1011011=>[1,2,1,2,1,1] [6,3,1,7,4,8,5,2]=>1101011=>[1,1,2,2,1,1] [8,6,3,1,5,7,4,2]=>1110011=>[1,1,1,3,1,1] [4,1,7,5,8,6,3,2]=>1010111=>[1,2,2,1,1,1] [2,3,1,7,5,8,6,4]=>0101011=>[2,2,2,1,1] [7,4,8,5,2,1,6,3]=>1011101=>[1,2,1,1,2,1] [8,5,2,1,7,4,6,3]=>1110101=>[1,1,1,2,2,1] [1,7,4,6,3,8,5,2]=>0101011=>[2,2,2,1,1] [3,6,5,2,1,4,8,7]=>0111001=>[2,1,1,3,1] [3,5,6,2,1,4,8,7]=>0011001=>[3,1,3,1] [3,5,7,8,1,4,2,6]=>0001010=>[4,2,2] [4,1,8,5,7,3,2,6]=>1010110=>[1,2,2,1,2] [4,1,7,5,8,3,2,6]=>1010110=>[1,2,2,1,2] [2,1,5,8,7,4,3,6]=>1001110=>[1,3,1,1,2] [2,1,5,7,8,4,3,6]=>1000110=>[1,4,1,2] [5,1,7,4,8,3,2,6]=>1010110=>[1,2,2,1,2] [4,7,2,8,3,6,1,5]=>0101010=>[2,2,2,2] [4,6,2,7,3,1,8,5]=>0101101=>[2,2,1,2,1] [3,7,8,2,4,1,6,5]=>0010101=>[3,2,2,1] [3,8,7,2,4,1,6,5]=>0110101=>[2,1,2,2,1] [3,8,6,2,4,1,7,5]=>0110101=>[2,1,2,2,1] [1,3,2,7,6,5,10,9,8,4]=>010110111=>[2,2,1,2,1,1,1] [1,4,3,6,5,2,10,9,8,7]=>010110111=>[2,2,1,2,1,1,1] [1,4,3,7,6,2,10,9,8,5]=>010110111=>[2,2,1,2,1,1,1] [1,5,4,7,6,3,10,9,8,2]=>010110111=>[2,2,1,2,1,1,1] [1,4,3,8,7,2,10,9,6,5]=>010110111=>[2,2,1,2,1,1,1] [1,5,4,8,7,3,10,9,6,2]=>010110111=>[2,2,1,2,1,1,1] [2,3,1,6,5,4,10,9,8,7]=>010110111=>[2,2,1,2,1,1,1] [2,3,1,7,6,5,10,9,8,4]=>010110111=>[2,2,1,2,1,1,1] [2,4,1,6,5,3,10,9,8,7]=>010110111=>[2,2,1,2,1,1,1] [2,4,1,7,6,3,10,9,8,5]=>010110111=>[2,2,1,2,1,1,1] [2,5,1,7,6,4,10,9,8,3]=>010110111=>[2,2,1,2,1,1,1] [2,4,1,8,7,3,10,9,6,5]=>010110111=>[2,2,1,2,1,1,1] [2,5,1,8,7,4,10,9,6,3]=>010110111=>[2,2,1,2,1,1,1] [3,4,2,6,5,1,10,9,8,7]=>010110111=>[2,2,1,2,1,1,1] [3,4,2,7,6,1,10,9,8,5]=>010110111=>[2,2,1,2,1,1,1] [3,5,2,7,6,1,10,9,8,4]=>010110111=>[2,2,1,2,1,1,1] [4,5,3,7,6,2,10,9,8,1]=>010110111=>[2,2,1,2,1,1,1] [3,4,2,8,7,1,10,9,6,5]=>010110111=>[2,2,1,2,1,1,1] [3,5,2,8,7,1,10,9,6,4]=>010110111=>[2,2,1,2,1,1,1] [4,5,3,8,7,2,10,9,6,1]=>010110111=>[2,2,1,2,1,1,1] [2,5,1,6,4,3,10,9,8,7]=>010110111=>[2,2,1,2,1,1,1] [2,5,1,7,4,3,10,9,8,6]=>010110111=>[2,2,1,2,1,1,1] [2,6,1,7,5,4,10,9,8,3]=>010110111=>[2,2,1,2,1,1,1] [2,5,1,8,4,3,10,9,7,6]=>010110111=>[2,2,1,2,1,1,1] [2,6,1,8,5,4,10,9,7,3]=>010110111=>[2,2,1,2,1,1,1] [3,5,2,6,4,1,10,9,8,7]=>010110111=>[2,2,1,2,1,1,1] [3,5,2,7,4,1,10,9,8,6]=>010110111=>[2,2,1,2,1,1,1] [3,6,2,7,5,1,10,9,8,4]=>010110111=>[2,2,1,2,1,1,1] [4,6,3,7,5,2,10,9,8,1]=>010110111=>[2,2,1,2,1,1,1] [3,5,2,8,4,1,10,9,7,6]=>010110111=>[2,2,1,2,1,1,1] [3,6,2,8,5,1,10,9,7,4]=>010110111=>[2,2,1,2,1,1,1] [4,6,3,8,5,2,10,9,7,1]=>010110111=>[2,2,1,2,1,1,1] [3,7,2,8,6,1,10,9,5,4]=>010110111=>[2,2,1,2,1,1,1] [4,7,3,8,6,2,10,9,5,1]=>010110111=>[2,2,1,2,1,1,1] [2,5,1,9,4,3,10,8,7,6]=>010110111=>[2,2,1,2,1,1,1] [2,6,1,9,5,4,10,8,7,3]=>010110111=>[2,2,1,2,1,1,1] [3,5,2,9,4,1,10,8,7,6]=>010110111=>[2,2,1,2,1,1,1] [3,6,2,9,5,1,10,8,7,4]=>010110111=>[2,2,1,2,1,1,1] [4,6,3,9,5,2,10,8,7,1]=>010110111=>[2,2,1,2,1,1,1] [3,7,2,9,6,1,10,8,5,4]=>010110111=>[2,2,1,2,1,1,1] [6,2,8,4,1,7,3,5]=>1011010=>[1,2,1,2,2] [7,3,4,8,1,6,2,5]=>1001010=>[1,3,2,2] [6,3,4,8,1,7,2,5]=>1001010=>[1,3,2,2] [5,3,4,8,1,2,7,6]=>1001001=>[1,3,3,1] [4,3,5,8,1,2,7,6]=>1001001=>[1,3,3,1] [1,8,5,4,2,3,7,6]=>0111001=>[2,1,1,3,1] [3,5,4,8,1,2,7,6]=>0101001=>[2,2,3,1] [4,5,3,8,1,2,7,6]=>0101001=>[2,2,3,1] [6,4,3,8,1,7,2,5]=>1101010=>[1,1,2,2,2] [7,4,3,8,1,6,2,5]=>1101010=>[1,1,2,2,2] [6,5,3,8,7,1,2,4]=>1101100=>[1,1,2,1,3] [5,6,3,8,7,1,2,4]=>0101100=>[2,2,1,3] [4,6,3,8,1,7,2,5]=>0101010=>[2,2,2,2] [2,6,8,4,1,7,3,5]=>0011010=>[3,1,2,2] [1,8,7,4,2,6,3,5]=>0111010=>[2,1,1,2,2] [5,7,3,8,6,1,2,4]=>0101100=>[2,2,1,3] [3,7,5,8,6,1,2,4]=>0101100=>[2,2,1,3] [2,7,8,5,6,1,3,4]=>0010100=>[3,2,3] [1,8,7,5,6,2,3,4]=>0110100=>[2,1,2,3] [2,6,8,5,7,1,3,4]=>0010100=>[3,2,3] [5,3,6,8,7,1,2,4]=>1001100=>[1,3,1,3] [6,3,5,8,7,1,2,4]=>1001100=>[1,3,1,3] [7,2,8,5,6,1,3,4]=>1010100=>[1,2,2,3] [5,2,8,6,7,1,3,4]=>1010100=>[1,2,2,3] [1,8,3,2,7,6,4,5]=>0110110=>[2,1,2,1,2] [5,2,8,7,6,1,3,4]=>1011100=>[1,2,1,1,3] [6,2,8,7,5,1,3,4]=>1011100=>[1,2,1,1,3] [3,4,7,8,1,6,2,5]=>0001010=>[4,2,2] [1,8,5,7,6,2,3,4]=>0101100=>[2,2,1,3] [2,5,8,7,6,1,3,4]=>0011100=>[3,1,1,3] [7,4,6,5,8,1,2,3]=>1010100=>[1,2,2,3] [3,6,7,8,5,1,2,4]=>0001100=>[4,1,3] [2,6,8,7,5,1,3,4]=>0011100=>[3,1,1,3] [1,8,6,7,5,2,3,4]=>0101100=>[2,2,1,3] [2,7,8,6,5,1,3,4]=>0011100=>[3,1,1,3] [5,7,6,4,8,1,2,3]=>0110100=>[2,1,2,3] [6,3,8,7,5,1,2,4]=>1011100=>[1,2,1,1,3] [2,8,7,4,1,3,5,6]=>0111000=>[2,1,1,4] [5,4,8,7,1,3,2,6]=>1011010=>[1,2,1,2,2] [4,8,6,1,3,2,5,7]=>0110100=>[2,1,2,3] [5,4,2,7,6,8,1,3]=>1101010=>[1,1,2,2,2] [2,8,7,1,4,5,3,6]=>0110010=>[2,1,3,2] [4,2,1,8,7,3,5,6]=>1101100=>[1,1,2,1,3] [5,1,6,3,2,8,7,4]=>1011011=>[1,2,1,2,1,1] [4,6,1,8,7,3,2,5]=>0101110=>[2,2,1,1,2] [8,7,2,3,5,4,1,6]=>1100110=>[1,1,3,1,2] [5,3,1,4,8,7,2,6]=>1100110=>[1,1,3,1,2] [4,3,5,2,8,7,1,6]=>1010110=>[1,2,2,1,2] [3,4,2,8,6,1,5,7]=>0101100=>[2,2,1,3] [3,7,6,8,1,5,2,4]=>0101010=>[2,2,2,2] [8,1,4,2,3,6,7,5]=>1010001=>[1,2,4,1] [3,7,2,1,8,6,4,5]=>0110110=>[2,1,2,1,2] [2,8,6,1,7,3,5,4]=>0110101=>[2,1,2,2,1] [1,7,6,3,5,8,2,4]=>0110010=>[2,1,3,2] [3,7,5,1,6,8,2,4]=>0110010=>[2,1,3,2] [3,6,5,8,1,4,7,2]=>0101001=>[2,2,3,1] [8,1,5,6,4,7,2,3]=>1001010=>[1,3,2,2] [3,6,7,4,1,8,2,5]=>0011010=>[3,1,2,2] [1,7,4,6,8,2,5,3]=>0100101=>[2,3,2,1] [7,5,8,2,6,3,1,4]=>1010110=>[1,2,2,1,2] [2,7,1,6,5,4,8,3]=>0101101=>[2,2,1,2,1] [7,3,2,6,1,8,5,4]=>1101011=>[1,1,2,2,1,1] [6,4,7,2,3,1,8,5]=>1010101=>[1,2,2,2,1] [5,3,1,8,4,6,2,7]=>1101010=>[1,1,2,2,2] [3,8,1,6,7,4,2,5]=>0100110=>[2,3,1,2] [2,7,4,3,6,8,1,5]=>0110010=>[2,1,3,2] [2,8,4,6,1,5,3,7]=>0101010=>[2,2,2,2] [8,4,1,6,3,2,5,7]=>1101100=>[1,1,2,1,3] [4,7,3,8,5,2,1,6]=>0101110=>[2,2,1,1,2] [3,1,7,4,8,5,2,6]=>1010110=>[1,2,2,1,2] [7,4,1,6,3,2,8,5]=>1101101=>[1,1,2,1,2,1] [3,8,6,2,7,4,1,5]=>0110110=>[2,1,2,1,2] [7,3,1,4,5,2,8,6]=>1100101=>[1,1,3,2,1] [6,1,4,8,5,3,2,7]=>1001110=>[1,3,1,1,2] [8,1,2,4,6,7,5,3]=>1000011=>[1,5,1,1] [8,1,3,6,7,5,4,2]=>1000111=>[1,4,1,1,1] [7,5,2,3,8,6,1,4]=>1100110=>[1,1,3,1,2] [8,6,2,4,1,3,7,5]=>1101001=>[1,1,2,3,1] [4,7,5,1,8,6,3,2]=>0110111=>[2,1,2,1,1,1] [4,7,3,2,8,5,6,1]=>0110101=>[2,1,2,2,1] [8,4,5,7,6,1,3,2]=>1001101=>[1,3,1,2,1] [7,5,8,4,2,3,6,1]=>1011001=>[1,2,1,3,1] [3,8,4,6,1,7,5,2]=>0101011=>[2,2,2,1,1] [3,7,4,6,5,2,8,1]=>0101101=>[2,2,1,2,1] [4,2,7,6,1,5,8,3]=>1011001=>[1,2,1,3,1] [8,3,1,4,5,7,6,2]=>1100011=>[1,1,4,1,1] [3,5,1,6,8,4,7,2]=>0100101=>[2,3,2,1] [6,1,5,7,3,8,4,2]=>1001011=>[1,3,2,1,1] [5,8,4,7,3,2,6,1]=>0101101=>[2,2,1,2,1] [7,2,6,5,8,4,1,3]=>1010110=>[1,2,2,1,2] [8,3,2,5,1,6,7,4]=>1101001=>[1,1,2,3,1] [2,6,8,3,7,4,1,5]=>0010110=>[3,2,1,2] [8,1,5,6,4,7,3,2]=>1001011=>[1,3,2,1,1] [2,5,8,1,6,4,7,3]=>0010101=>[3,2,2,1] [7,4,1,8,3,2,6,5]=>1101101=>[1,1,2,1,2,1] [8,3,7,4,2,1,6,5]=>1011101=>[1,2,1,1,2,1] [5,2,6,8,3,1,7,4]=>1001101=>[1,3,1,2,1] [3,6,5,8,4,1,7,2]=>0101101=>[2,2,1,2,1] [7,3,6,1,8,4,5,2]=>1010101=>[1,2,2,2,1] [8,2,7,3,4,6,5,1]=>1010011=>[1,2,3,1,1] [7,3,8,2,5,6,4,1]=>1010011=>[1,2,3,1,1] [5,7,3,1,6,4,8,2]=>0110101=>[2,1,2,2,1] [6,1,3,2,4,8,7,5]=>1010011=>[1,2,3,1,1] [8,7,4,2,3,6,1,5]=>1110010=>[1,1,1,3,2] [8,7,1,5,4,2,3,6]=>1101100=>[1,1,2,1,3] [3,7,1,5,2,8,6,4]=>0101011=>[2,2,2,1,1] [8,7,2,5,4,1,3,6]=>1101100=>[1,1,2,1,3] [8,7,2,5,3,1,4,6]=>1101100=>[1,1,2,1,3] [5,2,8,7,1,4,3,6]=>1011010=>[1,2,1,2,2] [7,1,8,6,2,4,3,5]=>1011010=>[1,2,1,2,2] [8,1,6,2,7,5,3,4]=>1010110=>[1,2,2,1,2] [7,1,6,2,8,5,3,4]=>1010110=>[1,2,2,1,2] [6,3,4,1,7,2,8,5]=>1010101=>[1,2,2,2,1] [7,2,4,3,5,1,8,6]=>1010101=>[1,2,2,2,1] [5,1,7,2,3,8,6,4]=>1010011=>[1,2,3,1,1] [8,2,3,5,1,7,6,4]=>1001011=>[1,3,2,1,1] [7,6,3,1,4,8,2,5]=>1110010=>[1,1,1,3,2] [6,1,8,2,7,5,3,4]=>1010110=>[1,2,2,1,2] [7,2,8,1,6,5,3,4]=>1010110=>[1,2,2,1,2] [7,2,6,4,3,8,1,5]=>1011010=>[1,2,1,2,2] [5,1,7,4,3,8,2,6]=>1011010=>[1,2,1,2,2] [5,3,1,7,4,8,2,6]=>1101010=>[1,1,2,2,2] [7,4,8,2,1,5,3,6]=>1011010=>[1,2,1,2,2] [8,2,4,1,6,3,7,5]=>1010101=>[1,2,2,2,1] [8,2,7,5,1,6,4,3]=>1011011=>[1,2,1,2,1,1] [6,1,7,3,2,8,5,4]=>1011011=>[1,2,1,2,1,1] [4,7,2,1,6,3,8,5]=>0110101=>[2,1,2,2,1] [6,2,1,5,3,8,4,7]=>1101010=>[1,1,2,2,2] [5,3,1,6,2,8,4,7]=>1101010=>[1,1,2,2,2] [6,1,5,2,8,4,3,7]=>1010110=>[1,2,2,1,2] [7,4,3,8,1,5,2,6]=>1101010=>[1,1,2,2,2] [7,4,8,1,5,3,2,6]=>1010110=>[1,2,2,1,2] [6,1,5,3,2,8,4,7]=>1011010=>[1,2,1,2,2] [6,3,2,8,4,1,5,7]=>1101100=>[1,1,2,1,3] [7,3,4,2,8,5,1,6]=>1010110=>[1,2,2,1,2] [7,1,6,3,4,2,8,5]=>1010101=>[1,2,2,2,1] [8,5,1,3,7,4,2,6]=>1100110=>[1,1,3,1,2] [3,8,6,1,5,2,7,4]=>0110101=>[2,1,2,2,1] [8,6,1,3,7,5,2,4]=>1100110=>[1,1,3,1,2] [4,8,5,6,1,7,3,2]=>0101011=>[2,2,2,1,1] [6,7,1,3,8,5,2,4]=>0100110=>[2,3,1,2] [3,6,7,1,5,2,8,4]=>0010101=>[3,2,2,1] [7,1,3,8,4,2,6,5]=>1001101=>[1,3,1,2,1] [5,6,2,7,1,3,8,4]=>0101001=>[2,2,3,1] [5,6,2,8,1,3,7,4]=>0101001=>[2,2,3,1] [6,1,8,3,7,5,2,4]=>1010110=>[1,2,2,1,2] [7,4,2,1,5,8,3,6]=>1110010=>[1,1,1,3,2] [7,4,1,5,8,3,2,6]=>1100110=>[1,1,3,1,2] [7,3,2,6,4,8,1,5]=>1101010=>[1,1,2,2,2] [6,4,2,7,3,8,1,5]=>1101010=>[1,1,2,2,2] [5,1,8,3,7,4,2,6]=>1010110=>[1,2,2,1,2] [7,4,8,3,1,5,2,6]=>1011010=>[1,2,1,2,2] [5,2,1,7,4,8,3,6]=>1101010=>[1,1,2,2,2] [6,1,8,4,5,2,7,3]=>1010101=>[1,2,2,2,1] [7,1,6,4,5,2,8,3]=>1010101=>[1,2,2,2,1] [3,5,2,7,1,6,8,4]=>0101001=>[2,2,3,1] [4,5,7,3,1,6,8,2]=>0011001=>[3,1,3,1] [4,5,7,2,8,6,1,3]=>0010110=>[3,2,1,2] [3,5,1,7,2,6,8,4]=>0101001=>[2,2,3,1] [4,5,7,2,8,1,3,6]=>0010100=>[3,2,3] [4,6,7,2,1,5,8,3]=>0011001=>[3,1,3,1] [4,6,7,1,3,8,5,2]=>0010011=>[3,3,1,1] [3,6,1,5,7,8,4,2]=>0100011=>[2,4,1,1] [4,6,7,1,5,8,3,2]=>0010011=>[3,3,1,1] [6,1,3,7,4,8,5,2]=>1001011=>[1,3,2,1,1] [3,2,1,7,4,8,5,6]=>1101010=>[1,1,2,2,2] [4,1,5,2,7,6,3,8]=>1010110=>[1,2,2,1,2] [2,5,1,3,7,6,4,8]=>0100110=>[2,3,1,2] [2,5,1,4,3,8,6,7]=>0101010=>[2,2,2,2] [3,7,2,1,5,8,6,4]=>0110011=>[2,1,3,1,1] [6,2,7,1,4,8,5,3]=>1010011=>[1,2,3,1,1] [3,7,4,2,1,8,5,6]=>0111010=>[2,1,1,2,2] [7,2,5,3,1,8,6,4]=>1011011=>[1,2,1,2,1,1] [7,5,1,4,2,8,6,3]=>1101011=>[1,1,2,2,1,1] [7,5,4,1,3,8,6,2]=>1110011=>[1,1,1,3,1,1] [5,3,2,1,7,6,4,8]=>1110110=>[1,1,1,2,1,2] [6,3,2,8,1,5,7,4]=>1101001=>[1,1,2,3,1] [7,4,3,2,8,1,6,5]=>1110101=>[1,1,1,2,2,1] [7,6,2,4,8,3,5,1]=>1100101=>[1,1,3,2,1] [7,3,6,4,8,1,5,2]=>1010101=>[1,2,2,2,1] [2,7,5,3,8,1,4,6]=>0110100=>[2,1,2,3] [1,8,5,3,6,4,2,7]=>0110110=>[2,1,2,1,2] [8,6,2,3,7,5,4,1]=>1100111=>[1,1,3,1,1,1] [8,6,3,2,7,5,4,1]=>1110111=>[1,1,1,2,1,1,1] [8,3,2,7,1,6,4,5]=>1101010=>[1,1,2,2,2] [7,2,6,1,5,4,3,8]=>1010110=>[1,2,2,1,2] [8,5,7,4,3,6,2,1]=>1011011=>[1,2,1,2,1,1] [8,5,7,2,4,6,3,1]=>1010011=>[1,2,3,1,1] [8,4,6,7,1,3,2,5]=>1001010=>[1,3,2,2] [2,8,5,6,1,4,3,7]=>0101010=>[2,2,2,2] [7,2,6,8,4,1,5,3]=>1001101=>[1,3,1,2,1] [7,6,4,8,3,2,5,1]=>1101101=>[1,1,2,1,2,1] [6,5,8,1,4,2,7,3]=>1010101=>[1,2,2,2,1] [6,5,8,4,1,3,7,2]=>1011001=>[1,2,1,3,1] [5,4,8,3,2,1,7,6]=>1011101=>[1,2,1,1,2,1] [4,3,7,2,1,6,5,8]=>1011010=>[1,2,1,2,2] [2,5,8,1,4,3,7,6]=>0010101=>[3,2,2,1] [3,6,8,2,1,5,7,4]=>0011001=>[3,1,3,1] [5,7,4,8,1,3,6,2]=>0101001=>[2,2,3,1] [5,7,1,4,8,2,6,3]=>0100101=>[2,3,2,1] [2,7,4,1,8,3,6,5]=>0110101=>[2,1,2,2,1] [3,5,1,8,4,2,7,6]=>0101101=>[2,2,1,2,1] [4,1,5,7,3,6,2,8]=>1001010=>[1,3,2,2] [4,2,5,8,3,1,7,6]=>1001101=>[1,3,1,2,1] [6,1,2,7,8,3,5,4]=>1000101=>[1,4,2,1] [5,3,1,8,6,4,2,7]=>1101110=>[1,1,2,1,1,2] [3,1,8,4,7,5,2,6]=>1010110=>[1,2,2,1,2] [4,2,8,7,3,5,1,6]=>1011010=>[1,2,1,2,2] [4,8,1,7,6,2,3,5]=>0101100=>[2,2,1,3] [6,8,1,4,7,5,2,3]=>0100110=>[2,3,1,2] [7,3,8,1,6,4,2,5]=>1010110=>[1,2,2,1,2] [4,7,8,1,5,3,2,6]=>0010110=>[3,2,1,2] [7,1,8,6,2,5,3,4]=>1011010=>[1,2,1,2,2] [5,8,7,1,3,6,4,2]=>0110011=>[2,1,3,1,1] [3,8,7,2,1,6,4,5]=>0111010=>[2,1,1,2,2] [2,8,7,1,6,3,5,4]=>0110101=>[2,1,2,2,1] [3,7,6,1,5,4,2,8]=>0110110=>[2,1,2,1,2] [4,8,7,6,1,3,5,2]=>0111001=>[2,1,1,3,1] [5,8,7,2,6,1,4,3]=>0110101=>[2,1,2,2,1] [6,8,1,7,5,2,4,3]=>0101101=>[2,2,1,2,1] [7,3,8,6,5,1,2,4]=>1011100=>[1,2,1,1,3] [5,7,8,4,3,1,2,6]=>0011100=>[3,1,1,3] [5,8,6,4,3,2,1,7]=>0111110=>[2,1,1,1,1,2] [8,7,3,6,4,2,1,5]=>1101110=>[1,1,2,1,1,2] [6,1,4,2,5,3,7,8]=>1010100=>[1,2,2,3] [1,3,7,5,4,2,8,6]=>0011101=>[3,1,1,2,1] [6,1,3,5,4,2,7,8]=>1001100=>[1,3,1,3] [6,1,2,5,4,7,3,8]=>1001010=>[1,3,2,2] [5,1,6,3,4,7,8,2]=>1010001=>[1,2,4,1] [5,2,6,3,4,7,1,8]=>1010010=>[1,2,3,2] [3,4,7,5,8,6,1,2]=>0010110=>[3,2,1,2] [2,4,7,1,5,3,8,6]=>0010101=>[3,2,2,1] [2,3,6,7,4,8,1,5]=>0001010=>[4,2,2] [1,3,6,7,4,8,5,2]=>0001011=>[4,2,1,1] [2,7,6,5,3,1,8,4]=>0111101=>[2,1,1,1,2,1] [5,2,6,1,4,7,8,3]=>1010001=>[1,2,4,1] [4,7,6,5,2,1,8,3]=>0111101=>[2,1,1,1,2,1] [5,3,6,2,4,1,7,8]=>1010100=>[1,2,2,3] [5,7,4,2,1,3,6,8]=>0111000=>[2,1,1,4] [6,3,1,5,4,7,8,2]=>1101001=>[1,1,2,3,1] [5,3,6,1,4,2,7,8]=>1010100=>[1,2,2,3] [1,7,4,2,6,3,8,5]=>0110101=>[2,1,2,2,1] [5,7,4,1,2,3,6,8]=>0110000=>[2,1,5] [6,4,1,2,5,3,7,8]=>1100100=>[1,1,3,3] [4,7,6,3,8,5,1,2]=>0110110=>[2,1,2,1,2] [3,7,6,5,2,8,1,4]=>0111010=>[2,1,1,2,2] [3,7,6,5,1,2,8,4]=>0111001=>[2,1,1,3,1] [4,7,2,6,1,3,8,5]=>0101001=>[2,2,3,1] [2,7,1,6,8,3,5,4]=>0100101=>[2,3,2,1] [2,7,6,5,8,1,4,3]=>0110101=>[2,1,2,2,1] [9,1,2,3,4,5,6,8,7]=>10000001=>[1,7,1] [10,1,2,3,4,5,6,7,9,8]=>100000001=>[1,8,1] [9,1,2,3,4,5,7,8,6]=>10000001=>[1,7,1] [2,3,4,5,6,9,7,8,1]=>00000101=>[6,2,1] [2,3,4,5,6,7,8,10,9,1]=>000000011=>[8,1,1] [9,2,1,8,7,6,5,4,3]=>11011111=>[1,1,2,1,1,1,1,1] [2,11,10,9,8,7,6,5,4,3,1]=>0111111111=>[2,1,1,1,1,1,1,1,1,1] [3,2,10,9,8,7,6,5,4,1]=>101111111=>[1,2,1,1,1,1,1,1,1] [3,9,2,8,7,6,5,4,1]=>01011111=>[2,2,1,1,1,1,1] [4,2,9,8,7,6,5,3,1]=>10111111=>[1,2,1,1,1,1,1,1] [5,2,8,7,6,4,3,1]=>1011111=>[1,2,1,1,1,1,1] [8,2,7,6,1,5,4,3]=>1011011=>[1,2,1,2,1,1] [9,2,8,1,7,6,5,4,3]=>10101111=>[1,2,2,1,1,1,1] [8,4,1,7,6,5,3,2]=>1101111=>[1,1,2,1,1,1,1] [9,3,1,8,7,6,5,4,2]=>11011111=>[1,1,2,1,1,1,1,1] [10,2,1,9,8,7,6,5,4,3]=>110111111=>[1,1,2,1,1,1,1,1,1] [11,1,10,9,8,7,6,5,4,3,2]=>1011111111=>[1,2,1,1,1,1,1,1,1,1] [4,5,6,2,3,8,1,7]=>0010010=>[3,3,2] [4,5,3,2,7,8,1,6]=>0110010=>[2,1,3,2] [6,5,7,3,8,4,2,1]=>1010111=>[1,2,2,1,1,1] [6,8,7,2,4,3,5,1]=>0110101=>[2,1,2,2,1] [3,2,7,4,5,8,1,6]=>1010010=>[1,2,3,2] [6,8,1,5,2,4,3,7]=>0101010=>[2,2,2,2] [8,3,4,6,1,5,2,7]=>1001010=>[1,3,2,2] [2,3,4,7,5,8,1,6]=>0001010=>[4,2,2] [6,3,4,7,8,2,5,1]=>1000101=>[1,4,2,1] [5,3,7,4,8,6,1,2]=>1010110=>[1,2,2,1,2] [8,3,6,4,1,7,2,5]=>1011010=>[1,2,1,2,2] [1,3,7,4,8,6,2,5]=>0010110=>[3,2,1,2] [3,7,8,5,4,1,2,6]=>0011100=>[3,1,1,3] [5,4,3,1,7,8,2,6]=>1110010=>[1,1,1,3,2] [5,7,6,2,8,4,1,3]=>0110110=>[2,1,2,1,2] [6,1,7,5,8,3,4,2]=>1010101=>[1,2,2,2,1] [7,5,6,4,1,3,8,2]=>1011001=>[1,2,1,3,1] [1,5,6,8,4,7,3,2]=>0001011=>[4,2,1,1] [4,1,3,7,6,5,8,2]=>1001101=>[1,3,1,2,1] [3,4,1,7,5,8,6,2]=>0101011=>[2,2,2,1,1] [8,5,7,4,3,1,6,2]=>1011101=>[1,2,1,1,2,1] [6,8,5,1,7,2,4,3]=>0110101=>[2,1,2,2,1] [8,2,4,1,3,7,6,5]=>1010011=>[1,2,3,1,1] [7,8,3,6,2,1,4,5]=>0101100=>[2,2,1,3] [8,1,7,4,2,3,6,5]=>1011001=>[1,2,1,3,1] [1,8,7,2,3,5,6,4]=>0110001=>[2,1,4,1] [2,8,3,1,6,7,5,4]=>0110011=>[2,1,3,1,1] [8,2,3,1,5,7,6,4]=>1010011=>[1,2,3,1,1] [3,8,4,1,2,7,6,5]=>0110011=>[2,1,3,1,1] [5,4,7,2,3,6,8,1]=>1010001=>[1,2,4,1] [6,3,2,1,8,4,7,5]=>1110101=>[1,1,1,2,2,1] [2,3,7,4,1,8,5,6]=>0011010=>[3,1,2,2] [6,4,1,3,2,7,8,5]=>1101001=>[1,1,2,3,1] [2,7,8,5,1,3,6,4]=>0011001=>[3,1,3,1] [8,2,5,6,7,1,3,4]=>1000100=>[1,4,3] [2,8,5,4,7,6,1,3]=>0110110=>[2,1,2,1,2] [6,7,1,5,8,2,4,3]=>0100101=>[2,3,2,1] [4,8,7,6,2,3,5,1]=>0111001=>[2,1,1,3,1] [7,8,1,5,3,2,6,4]=>0101101=>[2,2,1,2,1] [6,5,7,3,8,2,1,4]=>1010110=>[1,2,2,1,2] [8,1,4,7,2,5,6,3]=>1001001=>[1,3,3,1] [7,3,4,6,1,5,8,2]=>1001001=>[1,3,3,1] [8,3,4,5,7,1,6,2]=>1000101=>[1,4,2,1] [4,2,6,8,3,1,5,7]=>1001100=>[1,3,1,3] [3,7,6,2,4,5,1,8]=>0110010=>[2,1,3,2] [2,3,6,5,8,1,4,7]=>0010100=>[3,2,3] [2,3,5,8,6,1,4,7]=>0001100=>[4,1,3] [4,2,3,8,6,1,5,7]=>1001100=>[1,3,1,3] [6,4,1,2,8,3,5,7]=>1100100=>[1,1,3,3] [1,2,3,7,4,6,8,5]=>0001001=>[4,3,1] [3,2,7,1,4,5,8,6]=>1010001=>[1,2,4,1] [2,1,5,3,8,7,4,6]=>1010110=>[1,2,2,1,2] [5,8,3,2,4,1,6,7]=>0110100=>[2,1,2,3] [4,2,7,1,8,3,5,6]=>1010100=>[1,2,2,3] [4,1,8,2,7,3,5,6]=>1010100=>[1,2,2,3] [1,2,7,5,3,8,4,6]=>0011010=>[3,1,2,2] [3,2,7,1,4,8,5,6]=>1010010=>[1,2,3,2] [1,2,3,7,6,8,4,5]=>0001010=>[4,2,2] [1,2,3,6,8,7,4,5]=>0000110=>[5,1,2] [1,2,3,7,8,4,6,5]=>0000101=>[5,2,1] [1,2,3,6,8,4,7,5]=>0000101=>[5,2,1] [1,2,3,7,8,6,4,5]=>0000110=>[5,1,2] [6,2,8,3,7,5,1,4]=>1010110=>[1,2,2,1,2] [4,2,8,3,7,5,6,1]=>1010101=>[1,2,2,2,1] [7,3,4,8,6,5,1,2]=>1001110=>[1,3,1,1,2] [5,3,4,8,7,2,6,1]=>1001101=>[1,3,1,2,1] [4,3,5,8,7,2,6,1]=>1001101=>[1,3,1,2,1] [4,6,3,8,5,7,2,1]=>0101011=>[2,2,2,1,1] [7,5,3,8,6,2,4,1]=>1101101=>[1,1,2,1,2,1] [2,6,8,3,7,4,5,1]=>0010101=>[3,2,2,1] [1,8,4,3,7,5,6,2]=>0110101=>[2,1,2,2,1] [2,5,8,3,7,4,6,1]=>0010101=>[3,2,2,1] [7,4,3,8,6,2,5,1]=>1101101=>[1,1,2,1,2,1] [3,5,4,8,7,2,6,1]=>0101101=>[2,2,1,2,1] [4,5,3,8,6,7,2,1]=>0101011=>[2,2,2,1,1] [3,6,7,8,4,5,2,1]=>0001011=>[4,2,1,1] [2,6,8,5,4,7,3,1]=>0011011=>[3,1,2,1,1] [1,8,5,6,4,7,3,2]=>0101011=>[2,2,2,1,1] [2,5,8,6,4,7,3,1]=>0011011=>[3,1,2,1,1] [7,4,6,5,8,3,2,1]=>1010111=>[1,2,2,1,1,1] [6,3,7,8,4,5,2,1]=>1001011=>[1,3,2,1,1] [4,3,7,8,5,6,2,1]=>1001011=>[1,3,2,1,1] [5,2,8,6,4,7,3,1]=>1011011=>[1,2,1,2,1,1] [4,2,8,6,5,7,3,1]=>1011011=>[1,2,1,2,1,1] [3,2,8,6,7,4,5,1]=>1010101=>[1,2,2,2,1] [2,3,8,7,5,4,6,1]=>0011101=>[3,1,1,2,1] [1,8,2,7,4,5,6,3]=>0101001=>[2,2,3,1] [7,2,8,6,3,4,5,1]=>1011001=>[1,2,1,3,1] [6,2,8,4,5,7,3,1]=>1010011=>[1,2,3,1,1] [5,2,8,4,6,7,3,1]=>1010011=>[1,2,3,1,1] [4,2,8,5,6,7,3,1]=>1010011=>[1,2,3,1,1] [4,3,6,8,5,7,2,1]=>1001011=>[1,3,2,1,1] [3,4,6,8,7,2,5,1]=>0001101=>[4,1,2,1] [7,3,5,8,6,2,4,1]=>1001101=>[1,3,1,2,1] [1,8,3,5,7,4,6,2]=>0100101=>[2,3,2,1] [2,7,8,4,5,6,3,1]=>0010011=>[3,3,1,1] [3,7,5,8,4,6,2,1]=>0101011=>[2,2,2,1,1] [5,7,4,6,8,3,2,1]=>0100111=>[2,3,1,1,1] [3,6,5,8,4,7,2,1]=>0101011=>[2,2,2,1,1] [2,6,8,4,5,7,3,1]=>0010011=>[3,3,1,1] [4,2,7,1,3,8,5,6]=>1010010=>[1,2,3,2] [4,2,5,1,3,8,6,7]=>1010010=>[1,2,3,2] [5,3,6,1,7,2,4,8]=>1010100=>[1,2,2,3] [3,7,1,2,5,8,6,4]=>0100011=>[2,4,1,1] [3,7,4,1,2,8,5,6]=>0110010=>[2,1,3,2] [7,5,1,3,4,8,6,2]=>1100011=>[1,1,4,1,1] [7,5,1,2,4,8,6,3]=>1100011=>[1,1,4,1,1] [6,4,2,3,7,1,5,8]=>1100100=>[1,1,3,3] [7,6,3,8,1,2,5,4]=>1101001=>[1,1,2,3,1] [7,4,2,3,8,1,6,5]=>1100101=>[1,1,3,2,1] [4,7,5,2,8,1,3,6]=>0110100=>[2,1,2,3] [8,2,6,3,7,1,4,5]=>1010100=>[1,2,2,3] [8,6,1,2,7,4,5,3]=>1100101=>[1,1,3,2,1] [8,4,7,1,2,3,6,5]=>1010001=>[1,2,4,1] [8,5,7,1,2,4,6,3]=>1010001=>[1,2,4,1] [8,5,7,1,3,4,6,2]=>1010001=>[1,2,4,1] [8,6,2,7,1,3,5,4]=>1101001=>[1,1,2,3,1] [3,8,5,6,1,2,4,7]=>0101000=>[2,2,4] [3,7,5,8,1,2,4,6]=>0101000=>[2,2,4] [7,6,4,8,1,3,5,2]=>1101001=>[1,1,2,3,1] [6,5,8,1,2,4,7,3]=>1010001=>[1,2,4,1] [3,6,8,1,2,5,7,4]=>0010001=>[3,4,1] [3,7,2,4,8,1,6,5]=>0100101=>[2,3,2,1] [4,6,3,8,1,2,5,7]=>0101000=>[2,2,4] [4,6,3,7,1,2,5,8]=>0101000=>[2,2,4] [4,1,7,8,2,3,6,5]=>1001001=>[1,3,3,1] [5,1,2,8,6,3,4,7]=>1001100=>[1,3,1,3] [5,3,8,1,6,2,4,7]=>1010100=>[1,2,2,3] [6,1,8,5,2,3,4,7]=>1011000=>[1,2,1,4] [6,1,7,5,2,3,4,8]=>1011000=>[1,2,1,4] [6,8,1,3,7,4,5,2]=>0100101=>[2,3,2,1] [7,2,8,1,6,3,4,5]=>1010100=>[1,2,2,3] [4,7,8,2,5,1,3,6]=>0010100=>[3,2,3] [6,8,2,7,1,4,5,3]=>0101001=>[2,2,3,1] [4,8,7,1,3,5,6,2]=>0110001=>[2,1,4,1] [3,8,7,1,2,4,6,5]=>0110001=>[2,1,4,1] [4,8,7,1,2,3,6,5]=>0110001=>[2,1,4,1] [5,8,7,1,2,4,6,3]=>0110001=>[2,1,4,1] [5,8,7,1,3,4,6,2]=>0110001=>[2,1,4,1] [7,1,8,6,2,3,5,4]=>1011001=>[1,2,1,3,1] [5,8,6,4,1,2,3,7]=>0111000=>[2,1,1,4] [7,8,4,1,2,5,3,6]=>0110010=>[2,1,3,2] [7,8,1,2,6,5,3,4]=>0100110=>[2,3,1,2] [1,4,8,2,7,5,3,6]=>0010110=>[3,2,1,2] [6,1,3,4,7,2,5,8]=>1000100=>[1,4,3] [7,8,2,1,6,3,5,4]=>0110101=>[2,1,2,2,1] [6,1,2,7,5,4,3,8]=>1001110=>[1,3,1,1,2] [1,2,8,7,5,4,3,6]=>0011110=>[3,1,1,1,2] [5,1,7,3,6,4,8,2]=>1010101=>[1,2,2,2,1] [6,2,1,5,7,4,3,8]=>1100110=>[1,1,3,1,2] [6,2,3,7,4,1,5,8]=>1001100=>[1,3,1,3] [3,4,8,7,5,6,1,2]=>0011010=>[3,1,2,2] [2,3,8,7,4,1,5,6]=>0011100=>[3,1,1,3] [2,7,3,8,6,4,1,5]=>0101110=>[2,2,1,1,2] [1,8,3,7,6,4,5,2]=>0101101=>[2,2,1,2,1] [5,2,7,1,4,6,8,3]=>1010001=>[1,2,4,1] [4,6,7,5,2,1,8,3]=>0011101=>[3,1,1,2,1] [6,3,1,4,5,7,8,2]=>1100001=>[1,1,5,1] [5,3,1,4,6,2,7,8]=>1100100=>[1,1,3,3] [5,1,2,4,7,6,8,3]=>1000101=>[1,4,2,1] [5,7,4,1,2,6,3,8]=>0110010=>[2,1,3,2] [4,8,1,2,6,7,3,5]=>0100010=>[2,4,2] [4,1,7,8,2,6,3,5]=>1001010=>[1,3,2,2] [1,2,8,7,6,5,3,4]=>0011110=>[3,1,1,1,2] [3,1,2,4,6,8,7,5]=>1000011=>[1,5,1,1] [3,1,8,4,5,7,6,2]=>1010011=>[1,2,3,1,1] [3,2,8,5,4,7,1,6]=>1011010=>[1,2,1,2,2] [4,2,8,1,5,3,7,6]=>1010101=>[1,2,2,2,1] [4,3,8,5,7,6,1,2]=>1010110=>[1,2,2,1,2] [4,8,2,1,6,3,7,5]=>0110101=>[2,1,2,2,1] [3,8,6,5,2,7,1,4]=>0111010=>[2,1,1,2,2] [3,8,5,6,1,7,4,2]=>0101011=>[2,2,2,1,1] [3,5,7,8,1,2,6,4]=>0001001=>[4,3,1] [3,7,8,5,2,1,6,4]=>0011101=>[3,1,1,2,1] [3,7,2,8,4,1,6,5]=>0101101=>[2,2,1,2,1] [2,8,1,7,4,6,5,3]=>0101011=>[2,2,2,1,1] [2,8,7,5,1,6,4,3]=>0111011=>[2,1,1,2,1,1] [2,8,6,7,5,1,4,3]=>0101101=>[2,2,1,2,1] [5,1,3,4,6,7,2,8]=>1000010=>[1,5,2] [1,3,4,8,7,5,2,6]=>0001110=>[4,1,1,2] [8,2,4,1,7,3,5,6]=>1010100=>[1,2,2,3] [8,6,1,4,2,3,7,5]=>1101001=>[1,1,2,3,1] [3,6,1,4,2,8,7,5]=>0101011=>[2,2,2,1,1] [1,6,8,4,3,7,2,5]=>0011010=>[3,1,2,2] [3,1,4,7,8,5,2,6]=>1000110=>[1,4,1,2] [6,1,7,4,3,8,2,5]=>1011010=>[1,2,1,2,2] [1,8,7,4,3,6,2,5]=>0111010=>[2,1,1,2,2] [7,4,1,3,8,2,6,5]=>1100101=>[1,1,3,2,1] [4,8,2,3,1,5,7,6]=>0101001=>[2,2,3,1] [4,8,6,2,1,3,7,5]=>0111001=>[2,1,1,3,1] [2,7,4,1,8,3,5,6]=>0110100=>[2,1,2,3] [1,7,8,4,2,3,6,5]=>0011001=>[3,1,3,1] [4,7,1,3,8,2,6,5]=>0100101=>[2,3,2,1] [8,7,1,3,4,2,6,5]=>1100101=>[1,1,3,2,1] [1,7,4,3,6,2,8,5]=>0110101=>[2,1,2,2,1] [3,8,6,4,5,2,1,7]=>0110110=>[2,1,2,1,2] [3,8,4,6,5,2,1,7]=>0101110=>[2,2,1,1,2] [2,4,3,7,5,8,1,6]=>0101010=>[2,2,2,2] [1,4,7,3,6,2,8,5]=>0010101=>[3,2,2,1] [1,8,3,4,2,6,7,5]=>0101001=>[2,2,3,1] [6,4,1,3,7,2,8,5]=>1100101=>[1,1,3,2,1] [8,1,4,3,6,2,7,5]=>1010101=>[1,2,2,2,1] [4,2,3,8,5,7,1,6]=>1001010=>[1,3,2,2] [2,8,5,7,3,4,1,6]=>0101010=>[2,2,2,2] [5,8,2,6,4,3,1,7]=>0101110=>[2,2,1,1,2] [7,2,5,8,4,3,1,6]=>1001110=>[1,3,1,1,2] [4,2,3,5,8,7,1,6]=>1000110=>[1,4,1,2] [8,2,3,5,4,7,1,6]=>1001010=>[1,3,2,2] [6,1,8,3,4,2,7,5]=>1010101=>[1,2,2,2,1] [1,8,6,4,2,3,7,5]=>0111001=>[2,1,1,3,1] [3,8,4,5,6,2,1,7]=>0100110=>[2,3,1,2] [2,4,3,5,7,8,1,6]=>0100010=>[2,4,2] [3,8,6,5,4,2,1,7]=>0111110=>[2,1,1,1,1,2] [6,3,1,4,2,8,7,5]=>1101011=>[1,1,2,2,1,1] [7,3,8,1,2,6,4,5]=>1010010=>[1,2,3,2] [7,1,4,5,3,2,6,8]=>1001100=>[1,3,1,3] [1,8,4,2,6,5,3,7]=>0110110=>[2,1,2,1,2] [5,1,4,8,6,3,2,7]=>1001110=>[1,3,1,1,2] [5,3,1,8,4,7,2,6]=>1101010=>[1,1,2,2,2] [4,3,8,1,5,7,2,6]=>1010010=>[1,2,3,2] [6,3,1,2,5,7,4,8]=>1100010=>[1,1,4,2] [7,1,4,2,6,5,3,8]=>1010110=>[1,2,2,1,2] [3,8,4,1,6,5,2,7]=>0110110=>[2,1,2,1,2] [7,5,3,6,4,8,2,1]=>1101011=>[1,1,2,2,1,1] [7,3,6,4,5,8,2,1]=>1010011=>[1,2,3,1,1] [8,7,2,4,5,1,6,3]=>1100101=>[1,1,3,2,1] [7,1,5,4,8,6,3,2]=>1010111=>[1,2,2,1,1,1] [2,7,5,4,8,6,3,1]=>0110111=>[2,1,2,1,1,1] [2,1,8,7,5,3,6,4]=>1011101=>[1,2,1,1,2,1] [5,8,3,7,4,1,6,2]=>0101101=>[2,2,1,2,1] [8,1,7,4,2,6,5,3]=>1011011=>[1,2,1,2,1,1] [5,6,3,1,8,4,7,2]=>0110101=>[2,1,2,2,1] [5,7,1,4,8,6,3,2]=>0100111=>[2,3,1,1,1] [3,5,7,4,8,6,2,1]=>0010111=>[3,2,1,1,1] [2,6,7,4,5,8,3,1]=>0010011=>[3,3,1,1] [6,1,7,4,5,8,3,2]=>1010011=>[1,2,3,1,1] [5,3,7,4,8,6,2,1]=>1010111=>[1,2,2,1,1,1] [8,5,3,6,1,4,7,2]=>1101001=>[1,1,2,3,1] [5,4,3,6,8,2,7,1]=>1100101=>[1,1,3,2,1] [6,5,3,7,4,8,2,1]=>1101011=>[1,1,2,2,1,1] [7,5,8,4,1,6,3,2]=>1011011=>[1,2,1,2,1,1] [2,7,8,4,5,1,6,3]=>0010101=>[3,2,2,1] [5,7,3,8,4,1,6,2]=>0101101=>[2,2,1,2,1] [5,6,3,8,1,4,7,2]=>0101001=>[2,2,3,1] [8,4,1,2,5,6,7,3]=>1100001=>[1,1,5,1] [3,7,8,4,1,6,5,2]=>0011011=>[3,1,2,1,1] [6,8,3,1,2,5,7,4]=>0110001=>[2,1,4,1] [8,7,1,4,5,2,6,3]=>1100101=>[1,1,3,2,1] [8,7,3,1,5,4,2,6]=>1110110=>[1,1,1,2,1,2] [3,6,2,1,5,4,8,7]=>0110101=>[2,1,2,2,1] [5,4,2,6,1,3,8,7]=>1101001=>[1,1,2,3,1] [3,2,6,5,1,4,8,7]=>1011001=>[1,2,1,3,1] [2,5,8,1,7,4,3,6]=>0010110=>[3,2,1,2] [6,8,2,7,4,3,1,5]=>0101110=>[2,2,1,1,2] [6,8,2,3,7,5,1,4]=>0100110=>[2,3,1,2] [7,6,2,5,4,8,1,3]=>1101010=>[1,1,2,2,2] [2,6,5,1,8,4,3,7]=>0110110=>[2,1,2,1,2] [4,2,7,3,1,8,5,6]=>1011010=>[1,2,1,2,2] [4,2,3,7,1,5,8,6]=>1001001=>[1,3,3,1] [5,2,7,3,8,6,1,4]=>1010110=>[1,2,2,1,2] [2,1,5,8,4,3,7,6]=>1001101=>[1,3,1,2,1] [5,8,4,2,6,7,1,3]=>0110010=>[2,1,3,2] [3,2,4,8,1,5,7,6]=>1001001=>[1,3,3,1] [2,4,8,3,1,7,5,6]=>0011010=>[3,1,2,2] [4,8,3,2,1,7,6,5]=>0111011=>[2,1,1,2,1,1] [4,1,3,7,2,6,8,5]=>1001001=>[1,3,3,1] [3,4,8,2,1,6,5,7]=>0011010=>[3,1,2,2] [6,8,3,7,2,1,5,4]=>0101101=>[2,2,1,2,1] [3,5,8,1,7,2,6,4]=>0010101=>[3,2,2,1] [5,1,7,4,6,8,3,2]=>1010011=>[1,2,3,1,1] [7,6,4,8,1,5,3,2]=>1101011=>[1,1,2,2,1,1] [5,3,7,1,8,2,6,4]=>1010101=>[1,2,2,2,1] [2,7,6,3,8,1,4,5]=>0110100=>[2,1,2,3] [2,1,7,6,4,8,3,5]=>1011010=>[1,2,1,2,2] [2,1,5,4,8,7,3,6]=>1010110=>[1,2,2,1,2] [5,4,8,7,2,6,1,3]=>1011010=>[1,2,1,2,2] [2,4,3,8,7,1,5,6]=>0101100=>[2,2,1,3] [3,4,1,8,6,2,7,5]=>0101101=>[2,2,1,2,1] [3,8,5,4,2,1,7,6]=>0111101=>[2,1,1,1,2,1] [4,8,6,5,2,7,1,3]=>0111010=>[2,1,1,2,2] [3,2,8,7,5,4,1,6]=>1011110=>[1,2,1,1,1,2] [2,8,6,5,4,3,1,7]=>0111110=>[2,1,1,1,1,2] [5,4,2,6,3,1,8,7]=>1101101=>[1,1,2,1,2,1] [6,5,2,1,3,4,8,7]=>1110001=>[1,1,1,4,1] [8,5,2,7,3,1,4,6]=>1101100=>[1,1,2,1,3] [7,3,6,5,2,8,4,1]=>1011011=>[1,2,1,2,1,1] [7,6,2,3,4,8,5,1]=>1100011=>[1,1,4,1,1] [8,7,5,3,1,4,2,6]=>1111010=>[1,1,1,1,2,2] [7,1,5,3,8,4,6,2]=>1010101=>[1,2,2,2,1] [6,7,2,3,5,8,4,1]=>0100011=>[2,4,1,1] [3,7,6,4,2,8,5,1]=>0111011=>[2,1,1,2,1,1] [2,1,7,6,4,8,5,3]=>1011011=>[1,2,1,2,1,1] [2,1,8,7,4,3,5,6]=>1011100=>[1,2,1,1,3] [5,8,3,7,2,1,4,6]=>0101100=>[2,2,1,3] [3,8,7,4,2,1,5,6]=>0111100=>[2,1,1,1,3] [7,8,2,3,5,1,4,6]=>0100100=>[2,3,3] [2,8,6,3,1,4,7,5]=>0111001=>[2,1,1,3,1] [8,1,6,3,2,4,5,7]=>1011000=>[1,2,1,4] [5,7,1,4,8,3,6,2]=>0100101=>[2,3,2,1] [6,1,7,5,4,8,3,2]=>1011011=>[1,2,1,2,1,1] [6,3,7,5,8,4,2,1]=>1010111=>[1,2,2,1,1,1] [7,6,1,5,8,3,4,2]=>1100101=>[1,1,3,2,1] [8,6,7,5,1,3,2,4]=>1011010=>[1,2,1,2,2] [8,5,2,6,1,7,3,4]=>1101010=>[1,1,2,2,2] [5,4,2,6,8,3,7,1]=>1100101=>[1,1,3,2,1] [6,5,2,8,1,4,3,7]=>1101010=>[1,1,2,2,2] [7,4,2,8,1,3,6,5]=>1101001=>[1,1,2,3,1] [2,7,8,4,5,1,3,6]=>0010100=>[3,2,3] [5,7,3,8,4,1,2,6]=>0101100=>[2,2,1,3] [2,4,8,1,5,6,3,7]=>0010010=>[3,3,2] [3,4,8,1,5,2,7,6]=>0010101=>[3,2,2,1] [3,6,8,4,1,2,7,5]=>0011001=>[3,1,3,1] [4,8,1,2,5,3,6,7]=>0100100=>[2,3,3] [8,1,2,4,3,5,6,7]=>1001000=>[1,3,4] [2,3,4,6,5,7,8,9,10,1]=>000100001=>[4,5,1] [2,3,5,6,4,7,8,9,1]=>00010001=>[4,4,1] [2,3,6,4,5,7,8,9,1]=>00100001=>[3,5,1] [9,1,2,4,5,3,6,7,8]=>10001000=>[1,4,4] [10,1,2,3,5,4,6,7,8,9]=>100010000=>[1,4,5] [5,8,7,4,6,3,2,1]=>0110111=>[2,1,2,1,1,1] [4,8,7,6,3,5,2,1]=>0111011=>[2,1,1,2,1,1] [3,8,7,6,5,2,4,1]=>0111101=>[2,1,1,1,2,1] [7,9,6,8,5,4,3,2,1]=>01011111=>[2,2,1,1,1,1,1] [5,8,4,7,6,3,2,1]=>0101111=>[2,2,1,1,1,1] [6,9,8,5,7,4,3,2,1]=>01101111=>[2,1,2,1,1,1,1] [6,8,5,4,7,3,2,1]=>0110111=>[2,1,2,1,1,1] [5,9,8,7,4,6,3,2,1]=>01110111=>[2,1,1,2,1,1,1] [3,8,7,6,2,5,4,1]=>0111011=>[2,1,1,2,1,1] [4,9,8,7,6,3,5,2,1]=>01111011=>[2,1,1,1,2,1,1] [4,8,7,6,3,2,5,1]=>0111101=>[2,1,1,1,2,1] [3,9,8,7,6,5,2,4,1]=>01111101=>[2,1,1,1,1,2,1] [3,8,7,6,5,2,1,4]=>0111110=>[2,1,1,1,1,2] [8,6,9,7,4,5,2,3,1]=>10110101=>[1,2,1,2,2,1] [8,6,9,4,7,5,2,3,1]=>10101101=>[1,2,2,1,2,1] [8,6,9,4,7,2,5,3,1]=>10101011=>[1,2,2,2,1,1] [8,6,9,4,7,3,5,1,2]=>10101010=>[1,2,2,2,2] [8,6,9,5,7,3,4,1,2]=>10101010=>[1,2,2,2,2] [8,7,9,5,6,3,4,1,2]=>10101010=>[1,2,2,2,2] [9,7,10,8,5,6,3,4,1,2]=>101101010=>[1,2,1,2,2,2] [8,6,4,9,7,5,2,3,1]=>11011101=>[1,1,2,1,1,2,1] [9,7,10,5,8,6,3,4,1,2]=>101011010=>[1,2,2,1,2,2] [8,6,9,4,2,7,5,3,1]=>10110111=>[1,2,1,2,1,1,1] [9,7,10,5,8,3,6,4,1,2]=>101010110=>[1,2,2,2,1,2] [8,6,9,4,7,2,1,5,3]=>10101101=>[1,2,2,1,2,1] [7,5,8,4,6,3,1,2]=>1010110=>[1,2,2,1,2] [8,6,9,4,7,3,5,2,1]=>10101011=>[1,2,2,2,1,1] [9,7,10,5,8,3,6,2,4,1]=>101010101=>[1,2,2,2,2,1] [8,6,9,5,7,2,4,1,3]=>10101010=>[1,2,2,2,2] [9,7,10,5,8,4,6,2,3,1]=>101010101=>[1,2,2,2,2,1] [7,6,8,2,5,1,4,3]=>1010101=>[1,2,2,2,1] [8,7,9,4,6,3,5,1,2]=>10101010=>[1,2,2,2,2] [9,7,10,6,8,4,5,2,3,1]=>101010101=>[1,2,2,2,2,1] [9,6,8,5,7,3,4,1,2]=>10101010=>[1,2,2,2,2] [9,8,10,6,7,4,5,2,3,1]=>101010101=>[1,2,2,2,2,1] [3,5,2,4,7,6,1,8]=>0100110=>[2,3,1,2] [3,5,4,7,2,6,1,8]=>0101010=>[2,2,2,2] [3,5,4,7,6,1,2,8]=>0101100=>[2,2,1,3] [3,5,4,7,6,1,8,2]=>0101101=>[2,2,1,2,1] [3,5,7,4,6,1,8,2]=>0010101=>[3,2,2,1] [3,5,7,4,6,1,2,8]=>0010100=>[3,2,3] [3,5,7,4,6,2,1,8]=>0010110=>[3,2,1,2] [3,2,5,7,4,6,1,8]=>1001010=>[1,3,2,2] [3,5,2,7,6,4,1,8]=>0101110=>[2,2,1,1,2] [3,5,7,2,6,4,1,8]=>0010110=>[3,2,1,2] [5,3,7,6,2,4,1,8]=>1011010=>[1,2,1,2,2] [5,3,7,6,1,2,8,4]=>1011001=>[1,2,1,3,1] [5,3,7,6,1,4,2,8]=>1011010=>[1,2,1,2,2] [5,3,7,6,4,1,2,8]=>1011100=>[1,2,1,1,3] [3,5,7,2,6,1,4,8]=>0010100=>[3,2,3] [3,5,2,7,6,1,4,8]=>0101100=>[2,2,1,3] [5,3,7,6,4,1,8,2]=>1011101=>[1,2,1,1,2,1] [3,7,5,4,1,8,2,6]=>0111010=>[2,1,1,2,2] [3,7,5,4,1,8,6,2]=>0111011=>[2,1,1,2,1,1] [3,7,5,1,4,8,6,2]=>0110011=>[2,1,3,1,1] [3,7,5,1,4,8,2,6]=>0110010=>[2,1,3,2] [3,5,7,1,2,6,8,4]=>0010001=>[3,4,1] [3,5,7,2,1,6,8,4]=>0011001=>[3,1,3,1] [3,5,2,7,1,6,4,8]=>0101010=>[2,2,2,2] [3,5,7,2,1,6,4,8]=>0011010=>[3,1,2,2] [5,3,7,1,6,2,4,8]=>1010100=>[1,2,2,3] [3,5,7,1,4,6,8,2]=>0010001=>[3,4,1] [3,5,7,1,4,6,2,8]=>0010010=>[3,3,2] [3,5,7,1,4,2,6,8]=>0010100=>[3,2,3] [3,5,7,2,1,4,6,8]=>0011000=>[3,1,4] [3,5,2,7,1,4,6,8]=>0101000=>[2,2,4] [3,2,5,7,4,1,6,8]=>1001100=>[1,3,1,3] [3,5,2,7,4,1,6,8]=>0101100=>[2,2,1,3] [3,5,7,4,2,1,6,8]=>0011100=>[3,1,1,3] [3,5,7,4,1,2,6,8]=>0011000=>[3,1,4] [3,5,4,7,1,6,8,2]=>0101001=>[2,2,3,1] [3,5,4,7,1,2,6,8]=>0101000=>[2,2,4] [3,5,4,7,2,1,6,8]=>0101100=>[2,2,1,3] [3,5,4,2,7,1,6,8]=>0110100=>[2,1,2,3] [3,2,5,4,7,1,6,8]=>1010100=>[1,2,2,3] [3,5,4,7,2,1,8,6]=>0101101=>[2,2,1,2,1] [3,5,4,7,1,2,8,6]=>0101001=>[2,2,3,1] [5,7,6,3,1,8,4,2]=>0111011=>[2,1,1,2,1,1] [5,7,6,3,1,8,2,4]=>0111010=>[2,1,1,2,2] [3,5,7,4,1,2,8,6]=>0011001=>[3,1,3,1] [3,5,7,4,2,1,8,6]=>0011101=>[3,1,1,2,1] [3,2,5,7,4,1,8,6]=>1001101=>[1,3,1,2,1] [3,2,5,7,1,4,8,6]=>1001001=>[1,3,3,1] [3,5,2,7,1,4,8,6]=>0101001=>[2,2,3,1] [3,5,7,2,1,4,8,6]=>0011001=>[3,1,3,1] [3,5,7,1,4,2,8,6]=>0010101=>[3,2,2,1] [3,7,5,2,1,8,6,4]=>0111011=>[2,1,1,2,1,1] [3,7,2,5,1,8,6,4]=>0101011=>[2,2,2,1,1] [3,2,7,5,1,8,6,4]=>1011011=>[1,2,1,2,1,1] [3,2,7,5,1,8,4,6]=>1011010=>[1,2,1,2,2] [3,7,2,5,1,8,4,6]=>0101010=>[2,2,2,2] [3,7,5,2,1,8,4,6]=>0111010=>[2,1,1,2,2] [6,1,2,5,7,4,8,3]=>1000101=>[1,4,2,1] [6,3,2,7,4,1,8,5]=>1101101=>[1,1,2,1,2,1] [2,1,7,5,8,4,6,3]=>1010101=>[1,2,2,2,1] [2,7,3,6,8,4,1,5]=>0100110=>[2,3,1,2] [2,1,8,3,4,7,5,6]=>1010010=>[1,2,3,2] [5,1,7,2,4,8,3,6]=>1010010=>[1,2,3,2] [3,4,2,6,7,1,8,5]=>0100101=>[2,3,2,1] [3,5,8,7,2,1,6,4]=>0011101=>[3,1,1,2,1] [1,3,4,5,6,7,9,2,8]=>00000010=>[7,2] [2,3,4,5,6,7,1,9,8]=>00000101=>[6,2,1] [2,1,4,5,6,7,8,9,3]=>10000001=>[1,7,1] [3,1,4,5,6,7,8,2,9]=>10000010=>[1,6,2] [5,8,3,4,1,7,6,2]=>0101011=>[2,2,2,1,1] [5,8,7,2,4,1,6,3]=>0110101=>[2,1,2,2,1] [3,8,6,4,1,7,5,2]=>0111011=>[2,1,1,2,1,1] [4,3,5,6,8,1,7,2]=>1000101=>[1,4,2,1] [3,7,6,4,1,8,5,2]=>0111011=>[2,1,1,2,1,1] [3,7,4,1,8,6,5,2]=>0110111=>[2,1,2,1,1,1] [3,8,4,1,7,6,5,2]=>0110111=>[2,1,2,1,1,1] [3,2,7,6,1,5,4,8]=>1011010=>[1,2,1,2,2] [3,2,8,7,6,1,5,4]=>1011101=>[1,2,1,1,2,1] [5,7,8,2,4,1,6,3]=>0010101=>[3,2,2,1] [4,2,5,8,1,6,7,3]=>1001001=>[1,3,3,1] [4,2,5,8,1,7,3,6]=>1001010=>[1,3,2,2] [5,8,2,4,1,6,3,7]=>0101010=>[2,2,2,2] [8,4,2,6,5,1,3,7]=>1101100=>[1,1,2,1,3] [3,2,6,8,1,5,4,7]=>1001010=>[1,3,2,2] [8,3,2,5,6,1,4,7]=>1100100=>[1,1,3,3] [3,2,8,6,7,1,5,4]=>1010101=>[1,2,2,2,1] [3,2,6,8,7,1,5,4]=>1001101=>[1,3,1,2,1] [3,2,6,7,1,5,4,8]=>1001010=>[1,3,2,2] [8,7,3,2,5,6,1,4]=>1110010=>[1,1,1,3,2] [7,2,8,1,5,3,6,4]=>1010101=>[1,2,2,2,1] [8,4,2,7,5,1,3,6]=>1101100=>[1,1,2,1,3] [7,4,2,8,5,1,3,6]=>1101100=>[1,1,2,1,3] [7,2,4,1,8,3,6,5]=>1010101=>[1,2,2,2,1] [3,2,8,5,7,1,4,6]=>1010100=>[1,2,2,3] [2,6,5,7,1,8,3,4]=>0101010=>[2,2,2,2] [2,5,1,8,7,4,3,6]=>0101110=>[2,2,1,1,2] [8,1,4,6,3,5,2,7]=>1001010=>[1,3,2,2] [8,3,5,4,1,6,2,7]=>1011010=>[1,2,1,2,2] [8,6,3,4,1,5,2,7]=>1101010=>[1,1,2,2,2] [5,4,7,6,8,2,3,1]=>1010101=>[1,2,2,2,1] [4,1,8,2,3,7,6,5]=>1010011=>[1,2,3,1,1] [2,1,8,5,3,4,7,6]=>1011001=>[1,2,1,3,1] [5,2,4,6,8,7,3,1]=>1000111=>[1,4,1,1,1] [1,6,8,3,4,5,7,2]=>0010001=>[3,4,1] [5,7,4,8,6,1,3,2]=>0101101=>[2,2,1,2,1] [5,4,2,6,7,8,1,3]=>1100010=>[1,1,4,2] [6,4,2,7,3,5,8,1]=>1101001=>[1,1,2,3,1] [7,4,1,8,3,5,6,2]=>1101001=>[1,1,2,3,1] [6,5,4,8,7,3,1,2]=>1101110=>[1,1,2,1,1,2] [8,7,4,2,1,3,6,5]=>1111001=>[1,1,1,1,3,1] [8,7,1,3,2,5,6,4]=>1101001=>[1,1,2,3,1] [6,8,2,3,1,7,5,4]=>0101011=>[2,2,2,1,1] [7,4,3,2,6,8,5,1]=>1110011=>[1,1,1,3,1,1] [2,7,4,3,8,5,6,1]=>0110101=>[2,1,2,2,1] [8,3,7,2,1,5,6,4]=>1011001=>[1,2,1,3,1] [5,7,8,2,4,3,1,6]=>0010110=>[3,2,1,2] [8,4,7,3,2,6,1,5]=>1011010=>[1,2,1,2,2] [8,3,1,6,7,4,2,5]=>1100110=>[1,1,3,1,2] [3,2,5,7,4,8,1,6]=>1001010=>[1,3,2,2] [8,2,7,3,4,1,5,6]=>1010100=>[1,2,2,3] [7,1,6,3,5,8,2,4]=>1010010=>[1,2,3,2] [2,8,5,6,7,1,4,3]=>0100101=>[2,3,2,1] [1,5,2,7,8,6,4,3]=>0100111=>[2,3,1,1,1] [2,6,8,5,1,4,7,3]=>0011001=>[3,1,3,1] [1,4,2,8,6,5,7,3]=>0101101=>[2,2,1,2,1] [3,5,1,6,8,7,2,4]=>0100110=>[2,3,1,2] [5,7,6,2,1,3,8,4]=>0111001=>[2,1,1,3,1] [2,5,8,7,4,1,6,3]=>0011101=>[3,1,1,2,1] [4,1,7,5,2,6,8,3]=>1011001=>[1,2,1,3,1] [7,6,2,4,5,1,8,3]=>1100101=>[1,1,3,2,1] [7,3,4,2,5,8,6,1]=>1010011=>[1,2,3,1,1] [8,7,4,2,5,1,6,3]=>1110101=>[1,1,1,2,2,1] [8,1,4,5,2,6,7,3]=>1001001=>[1,3,3,1] [5,2,4,8,6,7,1,3]=>1001010=>[1,3,2,2] [8,5,6,2,1,3,7,4]=>1011001=>[1,2,1,3,1] [4,2,1,5,6,7,8,3]=>1100001=>[1,1,5,1] [3,4,6,5,1,7,8,2]=>0011001=>[3,1,3,1] [7,3,5,2,4,6,1,8]=>1010010=>[1,2,3,2] [5,3,7,2,4,6,1,8]=>1010010=>[1,2,3,2] [3,7,5,2,4,6,1,8]=>0110010=>[2,1,3,2] [5,7,3,2,4,6,1,8]=>0110010=>[2,1,3,2] [1,5,3,2,4,7,6,8]=>0110010=>[2,1,3,2] [1,5,3,2,7,4,6,8]=>0110100=>[2,1,2,3] [5,7,3,2,1,4,6,8]=>0111000=>[2,1,1,4] [5,7,3,2,4,1,6,8]=>0110100=>[2,1,2,3] [3,7,2,5,4,1,6,8]=>0101100=>[2,2,1,3] [5,1,3,2,4,7,6,8]=>1010010=>[1,2,3,2] [5,1,3,2,7,4,6,8]=>1010100=>[1,2,2,3] [7,1,3,2,5,4,6,8]=>1010100=>[1,2,2,3] [1,7,3,2,5,4,6,8]=>0110100=>[2,1,2,3] [7,1,3,5,2,4,6,8]=>1001000=>[1,3,4] [5,1,3,7,2,4,6,8]=>1001000=>[1,3,4] [3,2,7,5,1,4,6,8]=>1011000=>[1,2,1,4] [3,7,5,1,2,4,6,8]=>0110000=>[2,1,5] [5,7,3,1,2,4,6,8]=>0110000=>[2,1,5] [1,5,3,7,2,4,6,8]=>0101000=>[2,2,4] [5,3,2,7,4,1,6,8]=>1101100=>[1,1,2,1,3] [5,3,2,4,7,1,6,8]=>1100100=>[1,1,3,3] [5,3,2,1,4,7,6,8]=>1110010=>[1,1,1,3,2] [5,3,2,1,7,4,6,8]=>1110100=>[1,1,1,2,3] [1,3,2,7,5,4,6,8]=>0101100=>[2,2,1,3] [1,3,7,2,5,4,6,8]=>0010100=>[3,2,3] [7,3,1,2,5,4,6,8]=>1100100=>[1,1,3,3] [5,3,1,2,7,4,6,8]=>1100100=>[1,1,3,3] [5,3,1,2,4,7,6,8]=>1100010=>[1,1,4,2] [3,2,5,1,4,7,6,8]=>1010010=>[1,2,3,2] [7,3,1,5,2,4,6,8]=>1101000=>[1,1,2,4] [1,3,7,5,2,4,6,8]=>0011000=>[3,1,4] [7,5,1,3,2,4,6,8]=>1101000=>[1,1,2,4] [5,7,1,3,2,4,6,8]=>0101000=>[2,2,4] [3,7,1,5,2,4,6,8]=>0101000=>[2,2,4] [3,7,1,2,5,4,6,8]=>0100100=>[2,3,3] [3,7,2,1,5,4,6,8]=>0110100=>[2,1,2,3] [3,2,1,7,5,4,6,8]=>1101100=>[1,1,2,1,3] [3,1,2,7,5,4,6,8]=>1001100=>[1,3,1,3] [3,1,7,2,5,4,6,8]=>1010100=>[1,2,2,3] [3,1,7,5,2,4,6,8]=>1011000=>[1,2,1,4] [7,1,5,3,2,4,6,8]=>1011000=>[1,2,1,4] [1,7,5,3,2,4,6,8]=>0111000=>[2,1,1,4] [1,2,3,4,5,7,9,6,8]=>00000010=>[7,2] [1,2,3,4,6,9,5,7,8]=>00000100=>[6,3] [1,2,3,5,9,4,6,7,8]=>00001000=>[5,4] [1,2,4,9,3,5,6,7,8]=>00010000=>[4,5] [1,3,9,2,4,5,6,7,8]=>00100000=>[3,6] [1,9,8,7,6,2,5,4,3]=>01111011=>[2,1,1,1,2,1,1] [2,9,8,7,1,6,5,4,3]=>01110111=>[2,1,1,2,1,1,1] [1,9,8,2,7,6,5,4,3]=>01101111=>[2,1,2,1,1,1,1] [1,9,2,8,7,6,5,4,3]=>01011111=>[2,2,1,1,1,1,1] [3,9,8,7,6,5,2,1,4]=>01111110=>[2,1,1,1,1,1,2] [1,10,9,8,7,6,5,2,4,3]=>011111101=>[2,1,1,1,1,1,2,1] [4,9,8,7,6,1,2,5,3]=>01111001=>[2,1,1,1,3,1] [1,10,9,8,7,6,2,5,4,3]=>011111011=>[2,1,1,1,1,2,1,1] [1,8,7,4,2,6,5,3]=>0111011=>[2,1,1,2,1,1] [5,9,8,7,1,2,6,4,3]=>01110011=>[2,1,1,3,1,1] [2,10,9,8,7,1,6,5,4,3]=>011110111=>[2,1,1,1,2,1,1,1] [2,8,5,1,7,6,4,3]=>0110111=>[2,1,2,1,1,1] [6,9,8,2,1,7,5,4,3]=>01110111=>[2,1,1,2,1,1,1] [1,10,9,8,2,7,6,5,4,3]=>011101111=>[2,1,1,2,1,1,1,1] [6,8,5,1,2,7,4,3]=>0110011=>[2,1,3,1,1] [7,9,1,2,8,6,5,4,3]=>01001111=>[2,3,1,1,1,1] [1,10,9,2,8,7,6,5,4,3]=>011011111=>[2,1,2,1,1,1,1,1] [8,1,2,9,7,6,5,4,3]=>10011111=>[1,3,1,1,1,1,1] [2,10,1,9,8,7,6,5,4,3]=>010111111=>[2,2,1,1,1,1,1,1] [3,10,9,8,7,6,5,2,1,4]=>011111110=>[2,1,1,1,1,1,1,2] [1,11,10,9,8,7,6,5,2,4,3]=>0111111101=>[2,1,1,1,1,1,1,2,1] [1,9,8,7,6,3,2,5,4]=>01111101=>[2,1,1,1,1,2,1] [4,10,9,8,7,6,1,2,5,3]=>011111001=>[2,1,1,1,1,3,1] [1,11,10,9,8,7,6,2,5,4,3]=>0111111011=>[2,1,1,1,1,1,2,1,1] [1,9,8,7,4,2,6,5,3]=>01111011=>[2,1,1,1,2,1,1] [4,9,8,7,6,3,2,1,5]=>01111110=>[2,1,1,1,1,1,2] [5,10,9,8,7,1,2,6,4,3]=>011110011=>[2,1,1,1,3,1,1] [2,11,10,9,8,7,1,6,5,4,3]=>0111110111=>[2,1,1,1,1,2,1,1,1] [2,8,1,4,7,6,5,3]=>0100111=>[2,3,1,1,1] [2,9,8,5,1,7,6,4,3]=>01110111=>[2,1,1,2,1,1,1] [5,9,8,7,4,1,2,6,3]=>01111001=>[2,1,1,1,3,1] [6,10,9,8,2,1,7,5,4,3]=>011110111=>[2,1,1,1,2,1,1,1] [1,11,10,9,8,2,7,6,5,4,3]=>0111101111=>[2,1,1,1,2,1,1,1,1] [1,9,6,2,8,7,5,4,3]=>01101111=>[2,1,2,1,1,1,1] [1,8,7,4,3,2,6,5]=>0111101=>[2,1,1,1,2,1] [6,9,8,5,1,2,7,4,3]=>01110011=>[2,1,1,3,1,1] [7,10,9,1,2,8,6,5,4,3]=>011001111=>[2,1,3,1,1,1,1] [1,11,10,9,2,8,7,6,5,4,3]=>0111011111=>[2,1,1,2,1,1,1,1,1] [1,7,2,9,8,6,5,4,3]=>01011111=>[2,2,1,1,1,1,1] [1,8,5,4,2,7,6,3]=>0111011=>[2,1,1,2,1,1] [7,9,6,2,1,8,5,4,3]=>01110111=>[2,1,1,2,1,1,1] [8,10,1,2,9,7,6,5,4,3]=>010011111=>[2,3,1,1,1,1,1] [2,11,10,1,9,8,7,6,5,4,3]=>0110111111=>[2,1,2,1,1,1,1,1,1] [8,7,1,2,9,6,5,4,3]=>11001111=>[1,1,3,1,1,1,1] [9,2,1,10,8,7,6,5,4,3]=>110111111=>[1,1,2,1,1,1,1,1,1] [1,11,2,10,9,8,7,6,5,4,3]=>0101111111=>[2,2,1,1,1,1,1,1,1] [1,2,11,10,9,8,7,6,5,4,3]=>0011111111=>[3,1,1,1,1,1,1,1,1] [7,5,3,4,2,8,1,6]=>1101010=>[1,1,2,2,2] [8,5,3,6,2,4,7,1]=>1101001=>[1,1,2,3,1] [8,5,6,3,7,4,2,1]=>1010111=>[1,2,2,1,1,1] [8,5,6,2,7,4,3,1]=>1010111=>[1,2,2,1,1,1] [8,7,6,3,4,1,5,2]=>1110101=>[1,1,1,2,2,1] [1,7,2,3,6,8,5,4]=>0100011=>[2,4,1,1] [3,5,6,4,8,2,7,1]=>0010101=>[3,2,2,1] [3,5,1,4,8,2,7,6]=>0100101=>[2,3,2,1] [1,7,5,4,8,2,6,3]=>0110101=>[2,1,2,2,1] [3,7,5,1,6,4,8,2]=>0110101=>[2,1,2,2,1] [2,7,5,4,8,1,3,6]=>0110100=>[2,1,2,3] [2,7,5,4,8,6,1,3]=>0110110=>[2,1,2,1,2] [1,7,5,4,8,6,3,2]=>0110111=>[2,1,2,1,1,1] [2,5,1,4,8,7,3,6]=>0100110=>[2,3,1,2] [3,6,4,2,8,7,1,5]=>0110110=>[2,1,2,1,2] [3,5,2,4,8,1,6,7]=>0100100=>[2,3,3] [3,5,6,4,8,1,2,7]=>0010100=>[3,2,3] [1,5,6,4,8,7,2,3]=>0010110=>[3,2,1,2] [3,6,4,1,8,7,2,5]=>0110110=>[2,1,2,1,2] [3,6,4,5,8,7,2,1]=>0100111=>[2,3,1,1,1] [1,6,4,3,8,5,2,7]=>0110110=>[2,1,2,1,2] [7,1,3,4,5,8,2,6]=>1000010=>[1,5,2] [7,6,1,4,5,3,8,2]=>1100101=>[1,1,3,2,1] [7,6,1,3,5,4,8,2]=>1100101=>[1,1,3,2,1] [7,1,3,2,5,8,4,6]=>1010010=>[1,2,3,2] [1,6,4,2,8,5,3,7]=>0110110=>[2,1,2,1,2] [7,6,5,8,2,4,3,1]=>1101011=>[1,1,2,2,1,1] [7,6,5,8,3,1,4,2]=>1101101=>[1,1,2,1,2,1] [2,6,4,3,8,1,7,5]=>0110101=>[2,1,2,2,1] [2,6,4,3,8,5,7,1]=>0110101=>[2,1,2,2,1] [7,2,3,1,5,8,6,4]=>1010011=>[1,2,3,1,1] [7,1,5,6,3,8,4,2]=>1001011=>[1,3,2,1,1] [7,3,6,5,1,4,8,2]=>1011001=>[1,2,1,3,1] [7,2,6,5,3,8,1,4]=>1011010=>[1,2,1,2,2] [7,2,3,1,4,8,6,5]=>1010011=>[1,2,3,1,1] [7,2,3,5,4,8,6,1]=>1001011=>[1,3,2,1,1] [2,6,4,5,8,1,7,3]=>0100101=>[2,3,2,1] [1,5,6,4,8,3,7,2]=>0010101=>[3,2,2,1] [2,5,6,4,8,3,1,7]=>0010110=>[3,2,1,2] [3,5,6,1,4,7,8,2]=>0010001=>[3,4,1] [7,6,1,3,4,5,8,2]=>1100001=>[1,1,5,1] [7,1,3,2,4,8,5,6]=>1010010=>[1,2,3,2] [7,6,1,5,3,4,8,2]=>1101001=>[1,1,2,3,1] [7,6,1,5,4,3,8,2]=>1101101=>[1,1,2,1,2,1] [1,6,4,5,8,3,2,7]=>0100110=>[2,3,1,2] [7,6,5,8,1,3,2,4]=>1101010=>[1,1,2,2,2] [3,4,6,8,7,2,1,5]=>0001110=>[4,1,1,2] [3,5,6,8,2,1,7,4]=>0001101=>[4,1,2,1] [4,2,1,5,3,7,8,6]=>1101001=>[1,1,2,3,1] [4,2,5,6,3,1,8,7]=>1001101=>[1,3,1,2,1] [3,5,6,8,1,7,2,4]=>0001010=>[4,2,2] [4,1,5,6,3,2,8,7]=>1001101=>[1,3,1,2,1] [4,5,3,1,7,2,8,6]=>0110101=>[2,1,2,2,1] [4,1,3,5,2,7,8,6]=>1001001=>[1,3,3,1] [2,5,4,7,3,8,6,1]=>0101011=>[2,2,2,1,1] [3,5,7,1,8,4,2,6]=>0010110=>[3,2,1,2] [4,1,5,3,2,7,8,6]=>1011001=>[1,2,1,3,1] [4,5,3,7,1,2,8,6]=>0101001=>[2,2,3,1] [4,3,6,1,2,7,5,8]=>1010010=>[1,2,3,2] [5,1,3,2,4,6,7,8]=>1010000=>[1,2,5] [3,6,1,7,4,5,2,8]=>0101010=>[2,2,2,2] [5,1,3,4,2,6,7,8]=>1001000=>[1,3,4] [5,3,1,4,2,6,7,8]=>1101000=>[1,1,2,4] [4,5,2,3,7,1,8,6]=>0100101=>[2,3,2,1] [4,2,6,1,3,7,5,8]=>1010010=>[1,2,3,2] [4,6,2,1,3,7,5,8]=>0110010=>[2,1,3,2] [3,6,2,1,7,4,8,5]=>0110101=>[2,1,2,2,1] [3,1,4,7,6,5,2,8]=>1001110=>[1,3,1,1,2] [3,6,2,7,1,5,8,4]=>0101001=>[2,2,3,1] [4,6,2,7,1,3,5,8]=>0101000=>[2,2,4] [3,5,7,1,8,2,6,4]=>0010101=>[3,2,2,1] [5,1,4,2,3,6,7,8]=>1010000=>[1,2,5] [3,6,1,7,2,5,8,4]=>0101001=>[2,2,3,1] [2,6,5,3,4,7,8,1]=>0110001=>[2,1,4,1] [3,6,1,7,5,4,2,8]=>0101110=>[2,2,1,1,2] [5,1,4,3,2,6,7,8]=>1011000=>[1,2,1,4] [5,4,1,3,2,6,7,8]=>1101000=>[1,1,2,4] [6,4,2,5,3,8,1,7]=>1101010=>[1,1,2,2,2] [4,6,2,3,5,1,8,7]=>0100101=>[2,3,2,1] [6,2,4,5,1,8,3,7]=>1001010=>[1,3,2,2] [8,2,6,7,1,4,5,3]=>1001001=>[1,3,3,1] [8,2,6,7,4,1,5,3]=>1001101=>[1,3,1,2,1] [4,6,2,3,5,8,1,7]=>0100010=>[2,4,2] [2,6,4,1,5,8,3,7]=>0110010=>[2,1,3,2] [2,8,1,6,7,4,5,3]=>0100101=>[2,3,2,1] [6,8,4,5,7,2,3,1]=>0100101=>[2,3,2,1] [2,8,6,1,4,7,5,3]=>0110011=>[2,1,3,1,1] [2,8,1,6,4,7,5,3]=>0101011=>[2,2,2,1,1] [2,6,1,4,8,5,3,7]=>0100110=>[2,3,1,2] [6,4,5,2,8,3,1,7]=>1010110=>[1,2,2,1,2] [4,2,3,6,1,8,5,7]=>1001010=>[1,3,2,2] [4,2,3,1,6,8,5,7]=>1010010=>[1,2,3,2] [4,2,3,8,6,1,7,5]=>1001101=>[1,3,1,2,1] [6,4,5,8,2,3,7,1]=>1001001=>[1,3,3,1] [8,6,7,2,4,5,1,3]=>1010010=>[1,2,3,2] [6,4,8,5,2,3,7,1]=>1011001=>[1,2,1,3,1] [4,2,8,3,1,6,7,5]=>1011001=>[1,2,1,3,1] [2,4,8,1,3,6,7,5]=>0010001=>[3,4,1] [2,4,1,8,3,6,7,5]=>0101001=>[2,2,3,1] [2,1,4,8,6,3,7,5]=>1001101=>[1,3,1,2,1] [6,4,8,2,5,3,7,1]=>1010101=>[1,2,2,2,1] [8,6,2,4,7,5,1,3]=>1100110=>[1,1,3,1,2] [4,6,8,2,3,5,7,1]=>0010001=>[3,4,1] [2,6,8,4,1,5,7,3]=>0011001=>[3,1,3,1] [2,6,8,1,4,5,7,3]=>0010001=>[3,4,1] [2,1,6,8,4,5,7,3]=>1001001=>[1,3,3,1] [2,8,1,4,6,7,3,5]=>0100010=>[2,4,2] [4,8,6,2,3,7,5,1]=>0110011=>[2,1,3,1,1] [8,4,2,6,7,3,1,5]=>1100110=>[1,1,3,1,2] [7,6,4,5,1,3,8,2]=>1101001=>[1,1,2,3,1] [1,6,7,5,3,4,8,2]=>0011001=>[3,1,3,1] [7,6,2,3,8,4,1,5]=>1100110=>[1,1,3,1,2] [1,6,7,5,8,2,3,4]=>0010100=>[3,2,3] [6,2,5,8,3,4,7,1]=>1001001=>[1,3,3,1] [6,2,3,8,7,4,1,5]=>1001110=>[1,3,1,1,2] [2,4,7,3,5,8,6,1]=>0010011=>[3,3,1,1] [2,5,3,7,1,8,4,6]=>0101010=>[2,2,2,2] [5,2,8,3,1,4,6,7]=>1011000=>[1,2,1,4] [4,8,2,3,6,5,7,1]=>0100101=>[2,3,2,1] [5,8,1,3,6,4,7,2]=>0100101=>[2,3,2,1] [5,8,1,4,3,6,2,7]=>0101010=>[2,2,2,2] [5,8,4,1,3,7,6,2]=>0110011=>[2,1,3,1,1] [6,4,5,3,8,1,7,2]=>1010101=>[1,2,2,2,1] [4,6,5,3,7,1,2,8]=>0110100=>[2,1,2,3] [4,5,1,3,6,2,8,7]=>0100101=>[2,3,2,1] [4,2,6,5,1,7,3,8]=>1011010=>[1,2,1,2,2] [4,3,5,7,2,1,6,8]=>1001100=>[1,3,1,3] [3,4,7,6,8,1,2,5]=>0010100=>[3,2,3] [3,4,6,2,5,8,7,1]=>0010011=>[3,3,1,1] [3,5,2,4,6,1,8,7]=>0100101=>[2,3,2,1] [4,2,5,1,6,8,3,7]=>1010010=>[1,2,3,2] [1,8,2,3,6,5,7,4]=>0100101=>[2,3,2,1] [4,2,8,3,5,7,1,6]=>1010010=>[1,2,3,2] [4,3,8,6,5,7,1,2]=>1011010=>[1,2,1,2,2] [1,3,7,2,6,5,8,4]=>0010101=>[3,2,2,1] [1,3,6,4,2,5,8,7]=>0011001=>[3,1,3,1] [1,5,4,7,3,6,8,2]=>0101001=>[2,2,3,1] [5,2,3,8,4,1,7,6]=>1001101=>[1,3,1,2,1] [7,5,3,4,8,2,1,6]=>1100110=>[1,1,3,1,2] [7,2,8,3,4,1,5,6]=>1010100=>[1,2,2,3] [7,4,3,8,5,2,6,1]=>1101101=>[1,1,2,1,2,1] [4,6,2,7,3,1,5,8]=>0101100=>[2,2,1,3] [7,6,3,8,2,4,5,1]=>1101001=>[1,1,2,3,1] [7,2,8,5,1,3,4,6]=>1011000=>[1,2,1,4] [1,5,3,7,6,8,4,2]=>0101011=>[2,2,2,1,1] [1,6,3,7,8,2,4,5]=>0100100=>[2,3,3] [1,4,3,7,8,5,2,6]=>0100110=>[2,3,1,2] [4,2,6,5,7,8,3,1]=>1010011=>[1,2,3,1,1] [4,2,6,7,5,8,1,3]=>1001010=>[1,3,2,2] [3,2,4,7,8,5,1,6]=>1000110=>[1,4,1,2] [3,2,6,7,8,1,4,5]=>1000100=>[1,4,3] [5,1,8,3,6,4,7,2]=>1010101=>[1,2,2,2,1] [3,6,8,5,7,2,1,4]=>0010110=>[3,2,1,2] [5,1,3,8,7,6,4,2]=>1001111=>[1,3,1,1,1,1] [3,8,5,6,1,7,2,4]=>0101010=>[2,2,2,2] [3,4,8,1,7,6,2,5]=>0010110=>[3,2,1,2] [4,7,6,8,5,1,3,2]=>0101101=>[2,2,1,2,1] [6,7,4,8,5,1,3,2]=>0101101=>[2,2,1,2,1] [6,4,8,3,1,7,5,2]=>1011011=>[1,2,1,2,1,1] [3,6,5,8,7,1,4,2]=>0101101=>[2,2,1,2,1] [5,7,4,8,2,6,3,1]=>0101011=>[2,2,2,1,1] [5,6,4,8,2,7,3,1]=>0101011=>[2,2,2,1,1] [6,5,3,8,2,7,4,1]=>1101011=>[1,1,2,2,1,1] [6,4,8,1,3,7,5,2]=>1010011=>[1,2,3,1,1] [7,6,3,1,4,2,5,8]=>1110100=>[1,1,1,2,3] [1,5,4,3,7,8,2,6]=>0110010=>[2,1,3,2] [7,8,4,2,5,3,1,6]=>0110110=>[2,1,2,1,2] [4,2,7,8,5,3,1,6]=>1001110=>[1,3,1,1,2] [4,2,5,3,1,7,8,6]=>1011001=>[1,2,1,3,1] [4,2,8,7,6,3,1,5]=>1011110=>[1,2,1,1,1,2] [4,2,7,6,3,1,5,8]=>1011100=>[1,2,1,1,3] [6,3,1,7,5,2,4,8]=>1101100=>[1,1,2,1,3] [6,3,1,8,7,5,2,4]=>1101110=>[1,1,2,1,1,2] [8,6,3,1,7,5,2,4]=>1110110=>[1,1,1,2,1,2] [4,2,7,6,3,1,8,5]=>1011101=>[1,2,1,1,2,1] [7,6,3,1,8,4,2,5]=>1110110=>[1,1,1,2,1,2] [7,6,4,2,1,8,3,5]=>1111010=>[1,1,1,1,2,2] [1,8,2,7,6,4,3,5]=>0101110=>[2,2,1,1,2] [8,3,5,7,6,4,2,1]=>1001111=>[1,3,1,1,1,1] [8,4,2,5,7,6,3,1]=>1100111=>[1,1,3,1,1,1] [7,5,2,4,8,6,3,1]=>1100111=>[1,1,3,1,1,1] [8,7,5,2,4,6,3,1]=>1110011=>[1,1,1,3,1,1] [7,5,2,4,6,3,1,8]=>1100110=>[1,1,3,1,2] [5,2,8,6,3,7,4,1]=>1011011=>[1,2,1,2,1,1] [8,4,7,5,2,6,3,1]=>1011011=>[1,2,1,2,1,1] [8,3,6,4,7,5,2,1]=>1010111=>[1,2,2,1,1,1] [1,8,2,7,5,3,6,4]=>0101101=>[2,2,1,2,1] [7,5,2,1,8,3,6,4]=>1110101=>[1,1,1,2,2,1] [7,5,2,6,3,1,8,4]=>1101101=>[1,1,2,1,2,1] [5,2,7,4,1,8,6,3]=>1011011=>[1,2,1,2,1,1] [5,2,8,7,4,1,6,3]=>1011101=>[1,2,1,1,2,1] [8,7,4,1,5,2,6,3]=>1110101=>[1,1,1,2,2,1] [7,4,1,5,2,8,6,3]=>1101011=>[1,1,2,2,1,1] [7,6,3,1,4,2,8,5]=>1110101=>[1,1,1,2,2,1] [7,5,2,8,6,3,1,4]=>1101110=>[1,1,2,1,1,2] [8,7,5,2,6,3,1,4]=>1110110=>[1,1,1,2,1,2] [7,5,2,1,3,6,4,8]=>1110010=>[1,1,1,3,2] [8,7,5,2,1,3,6,4]=>1111001=>[1,1,1,1,3,1] [7,5,2,1,3,8,6,4]=>1110011=>[1,1,1,3,1,1] [1,3,7,6,5,8,2,4]=>0011010=>[3,1,2,2] [8,6,4,7,5,2,1,3]=>1101110=>[1,1,2,1,1,2] [6,4,8,7,5,2,1,3]=>1011110=>[1,2,1,1,1,2] [6,4,7,5,2,1,3,8]=>1011100=>[1,2,1,1,3] [6,3,1,4,7,5,2,8]=>1100110=>[1,1,3,1,2] [6,3,1,4,8,7,5,2]=>1100111=>[1,1,3,1,1,1] [8,6,3,1,4,7,5,2]=>1110011=>[1,1,1,3,1,1] [8,5,7,6,3,1,4,2]=>1011101=>[1,2,1,1,2,1] [1,8,2,5,7,6,4,3]=>0100111=>[2,3,1,1,1] [1,8,2,6,4,7,5,3]=>0101011=>[2,2,2,1,1] [7,5,2,1,6,4,8,3]=>1110101=>[1,1,1,2,2,1] [6,3,8,7,4,1,5,2]=>1011101=>[1,2,1,1,2,1] [6,3,7,4,1,5,2,8]=>1011010=>[1,2,1,2,2] [7,4,1,6,3,5,2,8]=>1101010=>[1,1,2,2,2] [7,4,1,8,6,3,5,2]=>1101101=>[1,1,2,1,2,1] [8,4,6,3,1,7,5,2]=>1011011=>[1,2,1,2,1,1] [6,4,7,5,2,1,8,3]=>1011101=>[1,2,1,1,2,1] [1,6,4,7,5,3,8,2]=>0101101=>[2,2,1,2,1] [8,6,3,5,2,7,4,1]=>1101011=>[1,1,2,2,1,1] [6,3,5,2,8,7,4,1]=>1010111=>[1,2,2,1,1,1] [6,3,5,2,7,4,1,8]=>1010110=>[1,2,2,1,2] [1,4,7,3,5,2,6,8]=>0010100=>[3,2,3] [5,7,4,2,6,3,1,8]=>0110110=>[2,1,2,1,2] [4,2,6,3,5,7,1,8]=>1010010=>[1,2,3,2] [2,4,5,8,1,6,7,3]=>0001001=>[4,3,1] [6,1,3,7,4,2,5,8]=>1001100=>[1,3,1,3] [3,2,6,8,1,5,7,4]=>1001001=>[1,3,3,1] [8,2,6,1,5,4,7,3]=>1010101=>[1,2,2,2,1] [8,6,2,7,1,5,4,3]=>1101011=>[1,1,2,2,1,1] [7,6,8,3,1,5,4,2]=>1011011=>[1,2,1,2,1,1] [6,3,7,2,8,1,5,4]=>1010101=>[1,2,2,2,1] [7,5,2,8,6,1,4,3]=>1101101=>[1,1,2,1,2,1] [2,7,3,8,1,5,6,4]=>0101001=>[2,2,3,1] [1,6,8,5,2,4,3,7]=>0011010=>[3,1,2,2] [4,5,7,2,8,1,6,3]=>0010101=>[3,2,2,1] [8,4,6,5,3,1,7,2]=>1011101=>[1,2,1,1,2,1] [4,5,3,1,7,2,6,8]=>0110100=>[2,1,2,3] [7,8,1,2,4,3,6,5]=>0100101=>[2,3,2,1] [8,4,1,6,2,3,7,5]=>1101001=>[1,1,2,3,1] [4,1,3,6,5,7,8,2]=>1001001=>[1,3,3,1] [6,1,3,4,2,8,5,7]=>1001010=>[1,3,2,2] [8,1,4,2,5,7,6,3]=>1010011=>[1,2,3,1,1] [8,1,4,3,5,7,6,2]=>1010011=>[1,2,3,1,1] [5,2,4,1,3,7,8,6]=>1010001=>[1,2,4,1] [2,6,5,3,1,7,8,4]=>0111001=>[2,1,1,3,1] [8,3,2,1,5,7,6,4]=>1110011=>[1,1,1,3,1,1] [1,7,4,3,6,8,2,5]=>0110010=>[2,1,3,2] [2,7,6,3,1,8,4,5]=>0111010=>[2,1,1,2,2] [2,8,4,6,3,7,5,1]=>0101011=>[2,2,2,1,1] [8,7,1,3,6,5,4,2]=>1100111=>[1,1,3,1,1,1] [1,8,5,7,4,2,6,3]=>0101101=>[2,2,1,2,1] [3,8,6,5,7,1,4,2]=>0110101=>[2,1,2,2,1] [4,8,6,2,7,1,5,3]=>0110101=>[2,1,2,2,1] [4,7,5,3,8,2,1,6]=>0110110=>[2,1,2,1,2] [1,6,5,8,3,4,2,7]=>0101010=>[2,2,2,2] [6,1,5,3,8,4,2,7]=>1010110=>[1,2,2,1,2] [8,1,5,4,7,2,6,3]=>1010101=>[1,2,2,2,1] [2,1,4,7,5,8,3,6]=>1001010=>[1,3,2,2] [6,3,5,8,7,4,1,2]=>1001110=>[1,3,1,1,2] [4,7,2,8,5,6,3,1]=>0101011=>[2,2,2,1,1] [1,4,8,7,3,5,6,2]=>0011001=>[3,1,3,1] [8,1,7,6,3,5,4,2]=>1011011=>[1,2,1,2,1,1] [3,6,8,5,7,4,1,2]=>0010110=>[3,2,1,2] [4,7,6,8,5,3,1,2]=>0101110=>[2,2,1,1,2] [5,7,2,8,6,4,1,3]=>0101110=>[2,2,1,1,2] [3,8,7,5,6,4,2,1]=>0110111=>[2,1,2,1,1,1] [2,8,7,6,4,5,3,1]=>0111011=>[2,1,1,2,1,1] [1,8,7,6,5,3,4,2]=>0111101=>[2,1,1,1,2,1] [4,6,7,2,5,3,1,8]=>0010110=>[3,2,1,2] [2,4,7,8,1,6,5,3]=>0001011=>[4,2,1,1] [4,2,6,8,7,1,5,3]=>1001101=>[1,3,1,2,1] [5,1,8,4,2,7,6,3]=>1011011=>[1,2,1,2,1,1] [6,8,3,7,1,5,4,2]=>0101011=>[2,2,2,1,1] [2,7,3,8,1,6,5,4]=>0101011=>[2,2,2,1,1] [2,6,8,4,1,7,5,3]=>0011011=>[3,1,2,1,1] [4,6,7,1,2,8,5,3]=>0010011=>[3,3,1,1] [3,6,1,8,2,7,5,4]=>0101011=>[2,2,2,1,1] [5,7,4,1,2,8,6,3]=>0110011=>[2,1,3,1,1] [6,3,7,1,2,8,5,4]=>1010011=>[1,2,3,1,1] [8,1,5,6,3,2,4,7]=>1001100=>[1,3,1,3] [1,7,8,3,5,2,4,6]=>0010100=>[3,2,3] [8,5,3,7,2,4,6,1]=>1101001=>[1,1,2,3,1] [1,7,2,4,8,5,3,6]=>0100110=>[2,3,1,2] [1,7,8,5,4,3,2,6]=>0011110=>[3,1,1,1,2] [2,6,8,7,4,3,5,1]=>0011101=>[3,1,1,2,1] [1,2,6,7,8,4,3,5]=>0000110=>[5,1,2] [2,7,5,8,4,1,3,6]=>0101100=>[2,2,1,3] [2,1,7,8,4,5,3,6]=>1001010=>[1,3,2,2] [3,7,8,2,1,5,4,6]=>0011010=>[3,1,2,2] [8,5,1,4,7,3,6,2]=>1100101=>[1,1,3,2,1] [8,4,7,5,3,6,1,2]=>1011010=>[1,2,1,2,2] [8,1,4,6,7,3,5,2]=>1000101=>[1,4,2,1] [3,5,8,6,7,4,1,2]=>0010110=>[3,2,1,2] [3,6,8,4,7,1,5,2]=>0010101=>[3,2,2,1] [4,7,1,3,6,8,2,5]=>0100010=>[2,4,2] [3,7,6,4,8,1,2,5]=>0110100=>[2,1,2,3] [3,1,7,5,6,8,2,4]=>1010010=>[1,2,3,2] [2,3,6,5,7,1,8,4]=>0010101=>[3,2,2,1] [3,7,5,4,2,1,8,6]=>0111101=>[2,1,1,1,2,1] [1,3,6,7,4,2,8,5]=>0001101=>[4,1,2,1] [3,6,4,8,2,7,5,1]=>0101011=>[2,2,2,1,1] [1,4,6,3,2,7,8,5]=>0011001=>[3,1,3,1] [8,7,1,5,6,3,2,4]=>1100110=>[1,1,3,1,2] [8,1,6,7,5,3,2,4]=>1001110=>[1,3,1,1,2] [1,7,8,6,5,3,2,4]=>0011110=>[3,1,1,1,2] [8,7,2,4,6,5,3,1]=>1100111=>[1,1,3,1,1,1] [1,7,8,2,6,4,5,3]=>0010101=>[3,2,2,1] [8,7,2,5,4,6,1,3]=>1101010=>[1,1,2,2,2] [8,7,2,5,3,1,6,4]=>1101101=>[1,1,2,1,2,1] [8,7,3,2,1,5,6,4]=>1111001=>[1,1,1,1,3,1] [8,2,6,7,3,1,5,4]=>1001101=>[1,3,1,2,1] [1,7,2,8,5,6,4,3]=>0101011=>[2,2,2,1,1] [2,7,1,8,4,6,5,3]=>0101011=>[2,2,2,1,1] [3,7,8,2,1,6,5,4]=>0011011=>[3,1,2,1,1] [8,7,6,1,4,5,3,2]=>1110011=>[1,1,1,3,1,1] [4,8,1,2,3,7,5,6]=>0100010=>[2,4,2] [1,8,2,3,6,5,4,7]=>0100110=>[2,3,1,2] [3,5,8,4,7,2,6,1]=>0010101=>[3,2,2,1] [1,8,5,4,6,2,3,7]=>0110100=>[2,1,2,3] [3,8,5,4,6,1,2,7]=>0110100=>[2,1,2,3] [3,8,5,1,6,4,2,7]=>0110110=>[2,1,2,1,2] [2,8,5,4,6,1,3,7]=>0110100=>[2,1,2,3] [2,8,5,4,6,3,1,7]=>0110110=>[2,1,2,1,2] [1,8,5,4,6,3,2,7]=>0110110=>[2,1,2,1,2] [2,5,8,4,7,3,6,1]=>0010101=>[3,2,2,1] [3,6,4,2,7,8,5,1]=>0110011=>[2,1,3,1,1] [3,5,4,1,6,2,7,8]=>0110100=>[2,1,2,3] [4,5,8,1,7,6,2,3]=>0010110=>[3,2,1,2] [3,5,8,4,7,1,6,2]=>0010101=>[3,2,2,1] [1,5,8,4,7,3,6,2]=>0010101=>[3,2,2,1] [3,6,4,1,7,8,5,2]=>0110011=>[2,1,3,1,1] [3,6,4,8,7,5,2,1]=>0101111=>[2,2,1,1,1,1] [1,6,4,3,7,8,5,2]=>0110011=>[2,1,3,1,1] [7,1,3,4,8,6,5,2]=>1000111=>[1,4,1,1,1] [7,6,1,3,8,4,2,5]=>1100110=>[1,1,3,1,2] [1,6,4,2,7,8,3,5]=>0110010=>[2,1,3,2] [2,6,4,3,7,1,8,5]=>0110101=>[2,1,2,2,1] [2,6,4,1,7,8,3,5]=>0110010=>[2,1,3,2] [7,2,3,4,8,6,5,1]=>1000111=>[1,4,1,1,1] [7,2,3,1,8,6,4,5]=>1010110=>[1,2,2,1,2] [7,2,3,4,1,6,8,5]=>1001001=>[1,3,3,1] [1,2,4,3,8,5,7,6]=>0010101=>[3,2,2,1] [7,3,8,6,1,4,2,5]=>1011010=>[1,2,1,2,2] [7,2,8,6,3,4,1,5]=>1011010=>[1,2,1,2,2] [7,2,3,1,5,6,8,4]=>1010001=>[1,2,4,1] [7,2,3,8,1,6,5,4]=>1001011=>[1,3,2,1,1] [7,2,3,8,5,6,4,1]=>1001011=>[1,3,2,1,1] [2,6,4,8,7,1,5,3]=>0101101=>[2,2,1,2,1] [1,5,8,4,7,6,2,3]=>0010110=>[3,2,1,2] [3,5,8,1,6,7,2,4]=>0010010=>[3,3,2] [7,6,1,3,5,8,2,4]=>1100010=>[1,1,4,2] [7,1,3,2,5,6,8,4]=>1010001=>[1,2,4,1] [7,1,3,8,2,6,5,4]=>1001011=>[1,3,2,1,1] [7,6,1,8,5,4,2,3]=>1101110=>[1,1,2,1,1,2] [3,2,6,5,8,4,7,1]=>1010101=>[1,2,2,2,1] [4,3,7,1,6,5,8,2]=>1010101=>[1,2,2,2,1] [5,2,6,4,8,3,7,1]=>1010101=>[1,2,2,2,1] [4,3,7,5,8,2,6,1]=>1010101=>[1,2,2,2,1] [5,3,7,4,8,2,6,1]=>1010101=>[1,2,2,2,1] [5,3,7,4,8,1,6,2]=>1010101=>[1,2,2,2,1] [5,4,8,1,6,2,7,3]=>1010101=>[1,2,2,2,1] [4,3,7,1,5,2,8,6]=>1010101=>[1,2,2,2,1] [5,4,8,2,6,3,7,1]=>1010101=>[1,2,2,2,1] [5,4,8,1,6,3,7,2]=>1010101=>[1,2,2,2,1] [4,1,7,5,2,3,6,8]=>1011000=>[1,2,1,4] [4,1,7,8,6,3,2,5]=>1001110=>[1,3,1,1,2] [4,7,2,8,3,5,1,6]=>0101010=>[2,2,2,2] [6,8,3,2,1,4,7,5]=>0111001=>[2,1,1,3,1] [7,2,4,1,6,5,8,3]=>1010101=>[1,2,2,2,1] [7,5,8,4,3,1,6,2]=>1011101=>[1,2,1,1,2,1] [6,8,2,4,1,3,7,5]=>0101001=>[2,2,3,1] [2,8,4,7,6,3,5,1]=>0101101=>[2,2,1,2,1] [6,1,2,7,5,8,4,3]=>1001011=>[1,3,2,1,1] [4,2,7,3,8,5,6,1]=>1010101=>[1,2,2,2,1] [4,5,2,6,8,3,7,1]=>0100101=>[2,3,2,1] [4,8,3,2,5,7,6,1]=>0110011=>[2,1,3,1,1] [7,2,4,3,8,5,6,1]=>1010101=>[1,2,2,2,1] [6,8,5,3,4,7,2,1]=>0110011=>[2,1,3,1,1] [8,4,7,6,2,3,5,1]=>1011001=>[1,2,1,3,1] [6,8,4,1,5,3,7,2]=>0110101=>[2,1,2,2,1] [8,3,4,7,6,2,5,1]=>1001101=>[1,3,1,2,1] [1,8,3,5,2,6,7,4]=>0101001=>[2,2,3,1] [6,8,3,5,1,4,7,2]=>0101001=>[2,2,3,1] [6,8,5,4,2,3,7,1]=>0111001=>[2,1,1,3,1] [5,8,2,4,3,7,6,1]=>0101011=>[2,2,2,1,1] [8,2,1,3,5,6,4,7]=>1100010=>[1,1,4,2] [8,2,1,3,5,4,7,6]=>1100101=>[1,1,3,2,1] [8,2,1,3,4,6,7,5]=>1100001=>[1,1,5,1] [8,1,3,4,2,6,5,7]=>1001010=>[1,3,2,2] [8,1,3,4,2,5,7,6]=>1001001=>[1,3,3,1] [8,1,3,2,5,6,4,7]=>1010010=>[1,2,3,2] [8,1,2,4,5,3,7,6]=>1000101=>[1,4,2,1] [8,1,2,4,3,6,7,5]=>1001001=>[1,3,3,1] [10,2,1,4,3,6,5,8,7,9]=>110101010=>[1,1,2,2,2,2] [10,2,1,4,3,6,5,7,9,8]=>110101001=>[1,1,2,2,3,1] [10,2,1,4,3,5,7,8,6,9]=>110100010=>[1,1,2,4,2] [10,2,1,4,3,5,7,6,9,8]=>110100101=>[1,1,2,3,2,1] [10,2,1,4,3,5,6,8,9,7]=>110100001=>[1,1,2,5,1] [10,2,1,3,5,6,4,8,7,9]=>110001010=>[1,1,4,2,2] [10,2,1,3,5,6,4,7,9,8]=>110001001=>[1,1,4,3,1] [10,2,1,3,5,4,7,8,6,9]=>110010010=>[1,1,3,3,2] [10,2,1,3,5,4,7,6,9,8]=>110010101=>[1,1,3,2,2,1] [10,2,1,3,5,4,6,8,9,7]=>110010001=>[1,1,3,4,1] [10,2,1,3,4,6,7,8,5,9]=>110000010=>[1,1,6,2] [10,2,1,3,4,6,7,5,9,8]=>110000101=>[1,1,5,2,1] [10,2,1,3,4,6,5,8,9,7]=>110001001=>[1,1,4,3,1] [10,2,1,3,4,5,7,8,9,6]=>110000001=>[1,1,7,1] [10,1,3,4,2,6,5,8,7,9]=>100101010=>[1,3,2,2,2] [10,1,3,4,2,6,5,7,9,8]=>100101001=>[1,3,2,3,1] [10,1,3,4,2,5,7,8,6,9]=>100100010=>[1,3,4,2] [10,1,3,4,2,5,7,6,9,8]=>100100101=>[1,3,3,2,1] [10,1,3,4,2,5,6,8,9,7]=>100100001=>[1,3,5,1] [10,1,3,2,5,6,4,8,7,9]=>101001010=>[1,2,3,2,2] [10,1,3,2,5,6,4,7,9,8]=>101001001=>[1,2,3,3,1] [10,1,3,2,5,4,7,8,6,9]=>101010010=>[1,2,2,3,2] [10,1,3,2,5,4,7,6,9,8]=>101010101=>[1,2,2,2,2,1] [10,1,3,2,5,4,6,8,9,7]=>101010001=>[1,2,2,4,1] [10,1,3,2,4,6,7,8,5,9]=>101000010=>[1,2,5,2] [10,1,3,2,4,6,7,5,9,8]=>101000101=>[1,2,4,2,1] [10,1,3,2,4,6,5,8,9,7]=>101001001=>[1,2,3,3,1] [10,1,3,2,4,5,7,8,9,6]=>101000001=>[1,2,6,1] [10,1,2,4,5,6,3,8,7,9]=>100001010=>[1,5,2,2] [10,1,2,4,5,6,3,7,9,8]=>100001001=>[1,5,3,1] [10,1,2,4,5,3,7,8,6,9]=>100010010=>[1,4,3,2] [10,1,2,4,5,3,7,6,9,8]=>100010101=>[1,4,2,2,1] [10,1,2,4,5,3,6,8,9,7]=>100010001=>[1,4,4,1] [10,1,2,4,3,6,7,8,5,9]=>100100010=>[1,3,4,2] [10,1,2,4,3,6,7,5,9,8]=>100100101=>[1,3,3,2,1] [10,1,2,4,3,6,5,8,9,7]=>100101001=>[1,3,2,3,1] [10,1,2,4,3,5,7,8,9,6]=>100100001=>[1,3,5,1] [10,1,2,3,5,6,7,8,4,9]=>100000010=>[1,7,2] [10,1,2,3,5,6,7,4,9,8]=>100000101=>[1,6,2,1] [10,1,2,3,5,6,4,8,9,7]=>100001001=>[1,5,3,1] [10,1,2,3,5,4,7,8,9,6]=>100010001=>[1,4,4,1] [10,1,2,3,4,6,7,8,9,5]=>100000001=>[1,8,1] [12,2,1,4,3,6,5,8,7,10,9,11]=>11010101010=>[1,1,2,2,2,2,2] [12,2,1,4,3,6,5,8,7,9,11,10]=>11010101001=>[1,1,2,2,2,3,1] [12,2,1,4,3,5,6,8,9,10,7,11]=>11010000010=>[1,1,2,6,2] [12,2,1,3,5,6,4,7,9,10,8,11]=>11000100010=>[1,1,4,4,2] [12,2,1,3,4,6,5,8,9,10,7,11]=>11000100010=>[1,1,4,4,2] [12,2,1,3,4,5,7,8,9,10,6,11]=>11000000010=>[1,1,8,2] [12,2,1,3,4,5,6,8,9,10,11,7]=>11000000001=>[1,1,9,1] [12,1,3,4,2,6,5,8,7,10,9,11]=>10010101010=>[1,3,2,2,2,2] [12,1,3,4,2,6,5,8,7,9,11,10]=>10010101001=>[1,3,2,2,3,1] [12,1,3,4,2,6,5,7,9,10,8,11]=>10010100010=>[1,3,2,4,2] [12,1,3,4,2,6,5,7,9,8,11,10]=>10010100101=>[1,3,2,3,2,1] [12,1,3,4,2,5,7,8,6,10,9,11]=>10010001010=>[1,3,4,2,2] [12,1,3,4,2,5,7,8,6,9,11,10]=>10010001001=>[1,3,4,3,1] [12,1,3,4,2,5,7,6,9,10,8,11]=>10010010010=>[1,3,3,3,2] [12,1,3,4,2,5,7,6,9,8,11,10]=>10010010101=>[1,3,3,2,2,1] [12,1,3,4,2,5,7,6,8,10,11,9]=>10010010001=>[1,3,3,4,1] [12,1,3,4,2,5,6,8,7,10,11,9]=>10010001001=>[1,3,4,3,1] [12,1,3,2,5,6,4,8,7,10,9,11]=>10100101010=>[1,2,3,2,2,2] [12,1,3,2,5,6,4,8,7,9,11,10]=>10100101001=>[1,2,3,2,3,1] [12,1,3,2,5,6,4,7,9,10,8,11]=>10100100010=>[1,2,3,4,2] [12,1,3,2,5,6,4,7,9,8,11,10]=>10100100101=>[1,2,3,3,2,1] [12,1,3,2,5,4,7,8,6,10,9,11]=>10101001010=>[1,2,2,3,2,2] [12,1,3,2,5,4,7,8,6,9,11,10]=>10101001001=>[1,2,2,3,3,1] [12,1,3,2,5,4,7,6,9,10,8,11]=>10101010010=>[1,2,2,2,3,2] [12,1,3,2,5,4,7,6,9,8,11,10]=>10101010101=>[1,2,2,2,2,2,1] [12,1,3,2,5,4,7,6,8,10,11,9]=>10101010001=>[1,2,2,2,4,1] [12,1,3,2,5,4,6,8,7,10,11,9]=>10101001001=>[1,2,2,3,3,1] [12,1,3,2,4,6,7,5,9,10,8,11]=>10100010010=>[1,2,4,3,2] [12,1,3,2,4,6,7,5,8,10,11,9]=>10100010001=>[1,2,4,4,1] [12,1,3,2,4,6,5,8,9,10,7,11]=>10100100010=>[1,2,3,4,2] [12,1,3,2,4,6,5,8,9,7,11,10]=>10100100101=>[1,2,3,3,2,1] [12,1,3,2,4,6,5,8,7,10,11,9]=>10100101001=>[1,2,3,2,3,1] [12,1,3,2,4,5,7,8,9,10,6,11]=>10100000010=>[1,2,7,2] [12,1,3,2,4,5,7,6,9,10,11,8]=>10100010001=>[1,2,4,4,1] [12,1,2,4,5,6,3,7,9,10,8,11]=>10000100010=>[1,5,4,2] [12,1,2,4,5,6,3,7,8,10,11,9]=>10000100001=>[1,5,5,1] [12,1,2,4,5,3,7,8,6,10,9,11]=>10001001010=>[1,4,3,2,2] [12,1,2,4,5,3,7,8,6,9,11,10]=>10001001001=>[1,4,3,3,1] [12,1,2,4,5,3,7,6,9,10,8,11]=>10001010010=>[1,4,2,3,2] [12,1,2,4,5,3,7,6,9,8,11,10]=>10001010101=>[1,4,2,2,2,1] [12,1,2,4,5,3,7,6,8,10,11,9]=>10001010001=>[1,4,2,4,1] [12,1,2,4,5,3,6,8,9,10,7,11]=>10001000010=>[1,4,5,2] [12,1,2,4,5,3,6,8,9,7,11,10]=>10001000101=>[1,4,4,2,1] [12,1,2,4,5,3,6,8,7,10,11,9]=>10001001001=>[1,4,3,3,1] [12,1,2,4,3,6,7,8,5,10,9,11]=>10010001010=>[1,3,4,2,2] [12,1,2,4,3,6,7,8,5,9,11,10]=>10010001001=>[1,3,4,3,1] [12,1,2,4,3,6,7,5,9,10,8,11]=>10010010010=>[1,3,3,3,2] [12,1,2,4,3,6,7,5,9,8,11,10]=>10010010101=>[1,3,3,2,2,1] [12,1,2,4,3,6,7,5,8,10,11,9]=>10010010001=>[1,3,3,4,1] [12,1,2,4,3,6,5,8,9,10,7,11]=>10010100010=>[1,3,2,4,2] [12,1,2,4,3,6,5,8,9,7,11,10]=>10010100101=>[1,3,2,3,2,1] [12,1,2,4,3,6,5,8,7,10,11,9]=>10010101001=>[1,3,2,2,3,1] [12,1,2,4,3,5,7,8,6,10,11,9]=>10010001001=>[1,3,4,3,1] [12,1,2,4,3,5,7,6,9,10,11,8]=>10010010001=>[1,3,3,4,1] [12,1,2,3,5,6,7,8,4,10,9,11]=>10000001010=>[1,7,2,2] [12,1,2,3,5,6,7,4,9,8,11,10]=>10000010101=>[1,6,2,2,1] [12,1,2,3,5,6,4,8,9,10,7,11]=>10000100010=>[1,5,4,2] [12,1,2,3,5,6,4,7,9,10,11,8]=>10000100001=>[1,5,5,1] [12,1,2,3,5,4,7,8,9,10,6,11]=>10001000010=>[1,4,5,2] [12,1,2,3,5,4,7,8,9,6,11,10]=>10001000101=>[1,4,4,2,1] [12,1,2,3,5,4,7,8,6,10,11,9]=>10001001001=>[1,4,3,3,1] [12,1,2,3,5,4,7,6,9,10,11,8]=>10001010001=>[1,4,2,4,1] [12,1,2,3,4,6,7,8,9,10,5,11]=>10000000010=>[1,9,2] [12,1,2,3,4,6,7,8,9,5,11,10]=>10000000101=>[1,8,2,1] [12,1,2,3,4,6,5,8,9,10,11,7]=>10000100001=>[1,5,5,1] [12,1,2,3,4,5,7,8,9,10,11,6]=>10000000001=>[1,10,1] [6,5,3,8,4,2,7,1]=>1101101=>[1,1,2,1,2,1] [7,4,5,1,6,2,8,3]=>1010101=>[1,2,2,2,1] [4,7,3,5,6,2,8,1]=>0100101=>[2,3,2,1] [6,7,8,4,1,3,5,2]=>0011001=>[3,1,3,1] [3,1,6,8,4,7,5,2]=>1001011=>[1,3,2,1,1] [8,3,6,1,5,7,4,2]=>1010011=>[1,2,3,1,1] [3,2,7,5,8,6,1,4]=>1010110=>[1,2,2,1,2] [2,5,4,7,8,1,6,3]=>0100101=>[2,3,2,1] [2,4,6,7,8,1,5,3]=>0000101=>[5,2,1] [2,4,6,8,1,7,5,3]=>0001011=>[4,2,1,1] [7,4,3,8,6,2,1,5]=>1101110=>[1,1,2,1,1,2] [2,4,7,8,3,5,6,1]=>0001001=>[4,3,1] [3,2,7,6,1,8,4,5]=>1011010=>[1,2,1,2,2] [3,2,6,8,1,7,4,5]=>1001010=>[1,3,2,2] [4,3,6,2,1,8,5,7]=>1011010=>[1,2,1,2,2] [3,6,4,2,5,8,1,7]=>0110010=>[2,1,3,2] [4,6,2,3,7,5,8,1]=>0100101=>[2,3,2,1] [5,8,4,2,3,6,7,1]=>0110001=>[2,1,4,1] [8,4,5,3,2,1,7,6]=>1011101=>[1,2,1,1,2,1] [5,8,3,4,2,1,7,6]=>0101101=>[2,2,1,2,1] [6,8,4,2,3,7,5,1]=>0110011=>[2,1,3,1,1] [6,4,8,3,2,7,1,5]=>1011010=>[1,2,1,2,2] [5,8,3,7,2,1,6,4]=>0101101=>[2,2,1,2,1] [2,5,6,4,7,1,8,3]=>0010101=>[3,2,2,1] [2,5,4,8,1,6,7,3]=>0101001=>[2,2,3,1] [6,4,7,3,8,2,1,5]=>1010110=>[1,2,2,1,2] [6,7,4,3,2,1,8,5]=>0111101=>[2,1,1,1,2,1] [8,4,3,7,2,1,5,6]=>1101100=>[1,1,2,1,3] [1,2,6,5,8,7,3,4]=>0010110=>[3,2,1,2] [1,5,2,8,4,6,7,3]=>0101001=>[2,2,3,1] [1,5,2,7,4,6,8,3]=>0101001=>[2,2,3,1] [5,1,2,7,3,6,8,4]=>1001001=>[1,3,3,1] [5,1,2,8,3,6,7,4]=>1001001=>[1,3,3,1] [5,6,3,4,8,7,2,1]=>0100111=>[2,3,1,1,1] [6,5,3,4,8,7,2,1]=>1100111=>[1,1,3,1,1,1] [4,1,2,8,3,6,7,5]=>1001001=>[1,3,3,1] [4,1,2,7,3,6,8,5]=>1001001=>[1,3,3,1] [7,5,3,8,4,6,2,1]=>1101011=>[1,1,2,2,1,1] [8,5,3,7,4,6,2,1]=>1101011=>[1,1,2,2,1,1] [5,8,1,2,3,4,7,6]=>0100001=>[2,5,1] [7,1,2,8,3,6,4,5]=>1001010=>[1,3,2,2] [6,1,8,2,3,5,7,4]=>1010001=>[1,2,4,1] [6,1,7,2,3,5,8,4]=>1010001=>[1,2,4,1] [1,6,8,2,4,5,7,3]=>0010001=>[3,4,1] [4,3,8,7,5,6,2,1]=>1011011=>[1,2,1,2,1,1] [1,8,2,7,4,6,5,3]=>0101011=>[2,2,2,1,1] [7,1,6,2,3,5,8,4]=>1010001=>[1,2,4,1] [8,1,6,2,3,5,7,4]=>1010001=>[1,2,4,1] [8,1,7,2,3,5,6,4]=>1010001=>[1,2,4,1] [5,8,3,7,4,6,2,1]=>0101011=>[2,2,2,1,1] [6,8,7,3,4,5,2,1]=>0110011=>[2,1,3,1,1] [1,8,7,2,4,5,3,6]=>0110010=>[2,1,3,2] [8,7,1,2,3,4,6,5]=>1100001=>[1,1,5,1] [8,6,1,2,3,4,7,5]=>1100001=>[1,1,5,1] [8,1,6,2,3,5,4,7]=>1010010=>[1,2,3,2] [1,7,6,2,4,5,3,8]=>0110010=>[2,1,3,2] [1,8,7,4,6,3,5,2]=>0110101=>[2,1,2,2,1] [6,3,7,5,1,4,8,2]=>1011001=>[1,2,1,3,1] [1,8,3,5,7,2,6,4]=>0100101=>[2,3,2,1] [2,3,4,6,8,5,7,1]=>0000101=>[5,2,1] [2,3,5,7,4,8,6,1]=>0001011=>[4,2,1,1] [2,4,6,3,7,8,5,1]=>0010011=>[3,3,1,1] [2,5,7,1,8,6,3,4]=>0010110=>[3,2,1,2] [1,3,8,5,2,4,6,7]=>0011000=>[3,1,4] [2,6,7,1,8,4,5,3]=>0010101=>[3,2,2,1] [5,8,3,1,4,2,6,7]=>0110100=>[2,1,2,3] [3,8,4,2,6,7,1,5]=>0110010=>[2,1,3,2] [2,4,1,8,5,6,3,7]=>0101010=>[2,2,2,2] [1,6,2,7,8,5,3,4]=>0100110=>[2,3,1,2] [3,5,2,6,7,8,4,1]=>0100011=>[2,4,1,1] [4,5,1,6,7,3,8,2]=>0100101=>[2,3,2,1] [2,8,4,1,7,5,3,6]=>0110110=>[2,1,2,1,2] [8,5,3,1,7,4,2,6]=>1110110=>[1,1,1,2,1,2] [4,2,8,7,1,5,3,6]=>1011010=>[1,2,1,2,2] [5,2,6,8,1,7,4,3]=>1001011=>[1,3,2,1,1] [5,7,3,2,6,8,1,4]=>0110010=>[2,1,3,2] [8,4,7,3,1,6,2,5]=>1011010=>[1,2,1,2,2] [6,7,1,2,3,5,8,4]=>0100001=>[2,5,1] [3,1,6,7,8,4,2,5]=>1000110=>[1,4,1,2] [3,1,4,8,5,6,2,7]=>1001010=>[1,3,2,2] [8,3,1,4,5,7,2,6]=>1100010=>[1,1,4,2] [1,6,7,8,9,2,3,4,5]=>00001000=>[5,4] [6,7,8,9,1,2,3,4,5,10]=>000100000=>[4,6] [6,7,8,1,2,3,4,5,9]=>00100000=>[3,6] [1,7,8,9,2,3,4,5,6]=>00010000=>[4,5] [1,7,8,9,10,2,3,4,5,6]=>000010000=>[5,5] [5,6,7,8,9,1,2,3,4,10]=>000010000=>[5,5] [5,6,7,1,8,2,3,4,9]=>00101000=>[3,2,4] [4,6,7,8,1,2,3,5,9]=>00010000=>[4,5] [1,6,7,8,2,9,3,4,5]=>00010100=>[4,2,3] [1,5,7,8,9,2,3,4,6]=>00001000=>[5,4] [1,6,7,8,9,10,2,3,4,5]=>000001000=>[6,4] [8,6,2,3,5,1,4,7]=>1100100=>[1,1,3,3] [8,2,4,5,7,3,1,6]=>1000110=>[1,4,1,2] [2,6,3,8,7,5,4,1]=>0101111=>[2,2,1,1,1,1] [8,2,3,7,5,4,1,6]=>1001110=>[1,3,1,1,2] [8,2,6,3,5,4,1,7]=>1010110=>[1,2,2,1,2] [8,6,1,5,2,4,3,7]=>1101010=>[1,1,2,2,2] [8,6,2,4,1,5,3,7]=>1101010=>[1,1,2,2,2] [8,4,1,6,5,3,2,7]=>1101110=>[1,1,2,1,1,2] [8,3,6,1,5,4,2,7]=>1010110=>[1,2,2,1,2] [8,3,2,6,5,4,1,7]=>1101110=>[1,1,2,1,1,2] [8,3,2,5,7,4,1,6]=>1100110=>[1,1,3,1,2] [8,3,1,7,5,4,2,6]=>1101110=>[1,1,2,1,1,2] [8,2,7,4,1,5,3,6]=>1011010=>[1,2,1,2,2] [6,1,3,8,7,5,4,2]=>1001111=>[1,3,1,1,1,1] [3,6,1,8,7,5,4,2]=>0101111=>[2,2,1,1,1,1] [3,8,1,5,7,6,4,2]=>0100111=>[2,3,1,1,1] [3,5,2,8,7,6,4,1]=>0101111=>[2,2,1,1,1,1] [3,4,8,2,7,6,5,1]=>0010111=>[3,2,1,1,1] [3,4,8,7,1,6,5,2]=>0011011=>[3,1,2,1,1] [8,1,3,5,7,6,4,2]=>1000111=>[1,4,1,1,1] [4,1,8,5,7,6,3,2]=>1010111=>[1,2,2,1,1,1] [8,2,7,1,4,5,6,3]=>1010001=>[1,2,4,1] [8,1,7,3,4,6,2,5]=>1010010=>[1,2,3,2] [8,3,1,7,2,6,5,4]=>1101011=>[1,1,2,2,1,1] [3,8,2,4,7,6,5,1]=>0100111=>[2,3,1,1,1] [2,8,3,7,4,6,5,1]=>0101011=>[2,2,2,1,1] [8,2,3,7,1,6,5,4]=>1001011=>[1,3,2,1,1] [8,2,7,1,3,6,5,4]=>1010011=>[1,2,3,1,1] [8,1,7,2,6,4,3,5]=>1010110=>[1,2,2,1,2] [8,1,7,5,2,4,3,6]=>1011010=>[1,2,1,2,2] [8,2,3,7,4,6,1,5]=>1001010=>[1,3,2,2] [2,4,8,5,7,6,3,1]=>0010111=>[3,2,1,1,1] [8,2,4,3,7,6,1,5]=>1010110=>[1,2,2,1,2] [8,2,7,3,5,1,4,6]=>1010100=>[1,2,2,3] [8,2,7,4,3,1,5,6]=>1011100=>[1,2,1,1,3] [8,2,7,3,1,5,6,4]=>1011001=>[1,2,1,3,1] [8,2,1,5,7,6,4,3]=>1100111=>[1,1,3,1,1,1] [6,2,1,8,7,5,4,3]=>1101111=>[1,1,2,1,1,1,1] [6,1,8,2,7,5,4,3]=>1010111=>[1,2,2,1,1,1] [8,1,7,3,5,2,6,4]=>1010101=>[1,2,2,2,1] [8,1,5,2,7,6,4,3]=>1010111=>[1,2,2,1,1,1] [8,1,7,2,4,6,5,3]=>1010011=>[1,2,3,1,1] [8,2,4,1,7,6,5,3]=>1010111=>[1,2,2,1,1,1] [4,2,8,3,7,6,5,1]=>1010111=>[1,2,2,1,1,1] [4,8,2,1,7,6,5,3]=>0110111=>[2,1,2,1,1,1] [5,1,8,7,2,6,4,3]=>1011011=>[1,2,1,2,1,1] [5,8,1,3,7,6,2,4]=>0100110=>[2,3,1,2] [8,2,5,4,1,7,6,3]=>1011011=>[1,2,1,2,1,1] [5,1,4,8,7,6,3,2]=>1001111=>[1,3,1,1,1,1] [8,1,4,3,7,6,5,2]=>1010111=>[1,2,2,1,1,1] [4,8,1,3,7,6,5,2]=>0100111=>[2,3,1,1,1] [4,3,8,1,7,6,5,2]=>1010111=>[1,2,2,1,1,1] [5,8,6,3,2,1,7,4]=>0111101=>[2,1,1,1,2,1] [5,7,6,3,2,4,1,8]=>0111010=>[2,1,1,2,2] [6,5,7,2,4,3,1,8]=>1010110=>[1,2,2,1,2] [5,7,1,3,2,8,6,4]=>0101011=>[2,2,2,1,1] [5,8,1,3,2,7,4,6]=>0101010=>[2,2,2,2] [8,5,1,3,2,4,6,7]=>1101000=>[1,1,2,4] [7,5,1,3,2,4,8,6]=>1101001=>[1,1,2,3,1] [7,5,8,2,1,4,3,6]=>1011010=>[1,2,1,2,2] [6,7,1,2,5,4,8,3]=>0100101=>[2,3,2,1] [6,8,1,2,5,7,4,3]=>0100011=>[2,4,1,1] [7,1,2,3,8,6,4,5]=>1000110=>[1,4,1,2] [8,1,6,4,2,3,5,7]=>1011000=>[1,2,1,4] [1,5,4,8,2,3,7,6]=>0101001=>[2,2,3,1] [1,7,8,2,3,5,6,4]=>0010001=>[3,4,1] [7,5,8,2,3,1,4,6]=>1010100=>[1,2,2,3] [7,4,1,2,6,8,3,5]=>1100010=>[1,1,4,2] [6,2,8,1,5,7,3,4]=>1010010=>[1,2,3,2] [7,2,5,4,1,8,6,3]=>1011011=>[1,2,1,2,1,1] [7,3,5,4,2,1,8,6]=>1011101=>[1,2,1,1,2,1] [7,3,2,8,5,6,1,4]=>1101010=>[1,1,2,2,2] [1,7,4,3,6,8,5,2]=>0110011=>[2,1,3,1,1] [4,7,6,5,2,3,8,1]=>0111001=>[2,1,1,3,1] [5,4,6,8,7,2,1,3]=>1001110=>[1,3,1,1,2] [6,7,4,2,1,8,5,3]=>0111011=>[2,1,1,2,1,1] [1,7,6,3,2,8,4,5]=>0111010=>[2,1,1,2,2] [6,5,8,1,7,3,4,2]=>1010101=>[1,2,2,2,1] [6,5,8,2,3,7,4,1]=>1010011=>[1,2,3,1,1] [6,5,8,3,4,1,7,2]=>1010101=>[1,2,2,2,1] [4,1,2,8,5,3,6,7]=>1001100=>[1,3,1,3] [3,5,8,2,6,1,7,4]=>0010101=>[3,2,2,1] [3,7,6,1,5,2,8,4]=>0110101=>[2,1,2,2,1] [1,7,6,2,5,8,4,3]=>0110011=>[2,1,3,1,1] [1,7,6,5,8,4,2,3]=>0110110=>[2,1,2,1,2] [3,7,6,2,8,4,5,1]=>0110101=>[2,1,2,2,1] [4,3,6,8,5,1,2,7]=>1001100=>[1,3,1,3] [2,7,1,5,8,4,3,6]=>0100110=>[2,3,1,2] [2,7,6,1,8,4,3,5]=>0110110=>[2,1,2,1,2] [7,1,2,6,3,5,4,8]=>1001010=>[1,3,2,2] [7,2,6,3,4,5,1,8]=>1010010=>[1,2,3,2] [6,1,2,5,7,8,4,3]=>1000011=>[1,5,1,1] [4,1,2,7,8,5,3,6]=>1000110=>[1,4,1,2] [4,7,3,1,2,6,8,5]=>0110001=>[2,1,4,1] [3,7,6,1,5,8,2,4]=>0110010=>[2,1,3,2] [3,8,5,6,4,2,7,1]=>0101101=>[2,2,1,2,1] [3,2,6,4,7,8,5,1]=>1010011=>[1,2,3,1,1] [4,2,7,5,8,3,1,6]=>1010110=>[1,2,2,1,2] [4,2,7,1,3,8,6,5]=>1010011=>[1,2,3,1,1] [5,2,1,4,7,8,3,6]=>1100010=>[1,1,4,2] [5,6,2,7,3,4,8,1]=>0101001=>[2,2,3,1] [6,1,3,8,5,4,7,2]=>1001101=>[1,3,1,2,1] [2,7,6,8,5,1,3,4]=>0101100=>[2,2,1,3] [2,7,6,8,5,3,1,4]=>0101110=>[2,2,1,1,2] [1,5,8,6,4,2,3,7]=>0011100=>[3,1,1,3] [2,5,8,6,4,1,7,3]=>0011101=>[3,1,1,2,1] [1,6,2,3,5,8,7,4]=>0100011=>[2,4,1,1] [4,7,2,3,1,6,8,5]=>0101001=>[2,2,3,1] [6,7,3,1,5,4,8,2]=>0110101=>[2,1,2,2,1] [7,4,6,2,8,3,5,1]=>1010101=>[1,2,2,2,1] [7,3,5,1,4,8,2,6]=>1010010=>[1,2,3,2] [3,4,6,5,1,2,7,8]=>0011000=>[3,1,4] [7,5,4,3,8,6,2,1]=>1110111=>[1,1,1,2,1,1,1] [4,3,8,2,6,7,5,1]=>1010011=>[1,2,3,1,1] [4,3,8,2,5,7,1,6]=>1010010=>[1,2,3,2] [4,1,6,2,5,3,7,8]=>1010100=>[1,2,2,3] [5,1,8,6,4,7,2,3]=>1011010=>[1,2,1,2,2] [4,2,6,1,5,3,8,7]=>1010101=>[1,2,2,2,1] [6,7,2,3,1,5,8,4]=>0101001=>[2,2,3,1] [7,5,2,3,8,1,6,4]=>1100101=>[1,1,3,2,1] [7,5,2,3,8,4,1,6]=>1100110=>[1,1,3,1,2] [4,5,1,7,6,3,8,2]=>0101101=>[2,2,1,2,1] [8,1,7,5,2,3,4,6]=>1011000=>[1,2,1,4] [8,6,3,1,4,2,5,7]=>1110100=>[1,1,1,2,3] [4,5,1,6,2,8,7,3]=>0101011=>[2,2,2,1,1] [4,8,3,6,1,7,2,5]=>0101010=>[2,2,2,2] [6,2,7,8,3,4,5,1]=>1001001=>[1,3,3,1] [9,2,3,4,5,6,7,8,1]=>10000001=>[1,7,1] [8,2,3,4,5,6,7,1,9]=>10000010=>[1,6,2] [7,2,3,4,5,6,1,8,9]=>10000100=>[1,5,3] [6,2,3,4,5,1,7,8,9]=>10001000=>[1,4,4] [5,2,3,4,1,6,7,8,9]=>10010000=>[1,3,5] [4,2,3,1,5,6,7,8,9]=>10100000=>[1,2,6] [1,2,4,3,5,6,7,8,9]=>00100000=>[3,6] [1,2,4,6,8,9,7,5,3]=>00000111=>[6,1,1,1] [1,2,4,5,3,6,7,8,9]=>00010000=>[4,5] [1,2,4,3,5,6,7,8,9,10]=>001000000=>[3,7] [1,2,4,6,8,10,9,7,5,3]=>000001111=>[6,1,1,1,1] [1,2,4,6,8,5,7,3]=>0000101=>[5,2,1] [2,1,7,5,8,6,3,4]=>1010110=>[1,2,2,1,2] [4,7,3,8,6,5,2,1]=>0101111=>[2,2,1,1,1,1] [3,8,7,4,6,5,1,2]=>0110110=>[2,1,2,1,2] [7,3,8,4,6,5,1,2]=>1010110=>[1,2,2,1,2] [7,4,3,6,5,8,1,2]=>1101010=>[1,1,2,2,2] [4,5,8,7,2,6,1,3]=>0011010=>[3,1,2,2] [3,8,6,7,5,1,4,2]=>0101101=>[2,2,1,2,1] [4,2,7,6,5,8,3,1]=>1011011=>[1,2,1,2,1,1] [4,6,7,8,5,2,3,1]=>0001101=>[4,1,2,1] [4,5,3,8,2,7,6,1]=>0101011=>[2,2,2,1,1] [3,8,5,4,1,7,6,2]=>0111011=>[2,1,1,2,1,1] [6,4,7,2,5,8,3,1]=>1010011=>[1,2,3,1,1] [6,3,8,7,5,1,4,2]=>1011101=>[1,2,1,1,2,1] [5,3,6,4,1,2,8,7]=>1011001=>[1,2,1,3,1] [6,8,4,3,5,7,1,2]=>0110010=>[2,1,3,2] [5,2,4,8,7,6,1,3]=>1001110=>[1,3,1,1,2] [4,2,5,1,7,8,3,6]=>1010010=>[1,2,3,2] [2,5,4,1,3,8,6,7]=>0110010=>[2,1,3,2] [1,4,5,3,8,2,6,7]=>0010100=>[3,2,3] [5,1,8,2,4,3,6,7]=>1010100=>[1,2,2,3] [1,5,4,8,2,3,6,7]=>0101000=>[2,2,4] [3,5,1,4,7,8,2,6]=>0100010=>[2,4,2] [4,8,3,1,6,7,2,5]=>0110010=>[2,1,3,2] [3,4,8,2,6,5,7,1]=>0010101=>[3,2,2,1] [3,6,2,4,8,7,1,5]=>0100110=>[2,3,1,2] [4,7,3,2,6,8,1,5]=>0110010=>[2,1,3,2] [7,3,4,6,8,1,2,5]=>1000100=>[1,4,3] [3,6,7,2,5,8,1,4]=>0010010=>[3,3,2] [1,5,6,8,3,7,2,4]=>0001010=>[4,2,2] [6,1,5,8,3,4,7,2]=>1001001=>[1,3,3,1] [5,6,8,1,3,4,7,2]=>0010001=>[3,4,1] [2,8,5,6,3,4,7,1]=>0101001=>[2,2,3,1] [6,8,1,3,5,4,7,2]=>0100101=>[2,3,2,1] [8,1,6,3,5,4,7,2]=>1010101=>[1,2,2,2,1] [1,8,7,3,6,4,5,2]=>0110101=>[2,1,2,2,1] [7,1,2,5,8,4,6,3]=>1000101=>[1,4,2,1] [6,2,4,8,1,7,3,5]=>1001010=>[1,3,2,2] [3,1,7,8,5,4,6,2]=>1001101=>[1,3,1,2,1] [1,6,2,7,4,8,5,3]=>0101011=>[2,2,2,1,1] [2,7,1,8,4,3,5,6]=>0101100=>[2,2,1,3] [6,7,1,8,3,2,4,5]=>0101100=>[2,2,1,3] [2,7,6,3,5,8,1,4]=>0110010=>[2,1,3,2] [2,7,5,6,8,1,3,4]=>0100100=>[2,3,3] [6,7,2,8,1,3,4,5]=>0101000=>[2,2,4] [5,1,6,8,7,2,3,4]=>1001100=>[1,3,1,3] [1,5,7,6,8,2,3,4]=>0010100=>[3,2,3] [7,4,6,8,5,3,1,2]=>1001110=>[1,3,1,1,2] [2,1,5,7,8,3,6,4]=>1000101=>[1,4,2,1] [3,8,6,7,5,1,2,4]=>0101100=>[2,2,1,3] [4,7,5,8,6,3,1,2]=>0101110=>[2,2,1,1,2] [1,6,8,3,2,5,4,7]=>0011010=>[3,1,2,2] [7,8,5,1,3,2,6,4]=>0110101=>[2,1,2,2,1] [2,6,8,1,5,4,7,3]=>0010101=>[3,2,2,1] [1,5,4,7,6,2,8,3]=>0101101=>[2,2,1,2,1] [2,3,7,6,5,1,8,4]=>0011101=>[3,1,1,2,1] [6,1,5,8,3,2,7,4]=>1001101=>[1,3,1,2,1] [3,1,2,4,8,5,7,6]=>1000101=>[1,4,2,1] [2,5,8,4,6,3,1,7]=>0010110=>[3,2,1,2] [7,1,5,4,8,3,2,6]=>1010110=>[1,2,2,1,2] [6,4,1,7,5,3,2,8]=>1101110=>[1,1,2,1,1,2] [2,7,6,4,8,1,5,3]=>0110101=>[2,1,2,2,1] [7,2,5,4,8,1,6,3]=>1010101=>[1,2,2,2,1] [1,7,2,5,3,8,6,4]=>0101011=>[2,2,2,1,1] [2,4,1,3,6,8,5,7,9]=>01000100=>[2,4,3] [7,2,3,8,6,1,5,4]=>1001101=>[1,3,1,2,1] [5,3,8,4,1,2,6,7]=>1011000=>[1,2,1,4] [2,4,8,3,7,1,5,6]=>0010100=>[3,2,3] [5,2,8,4,1,6,3,7]=>1011010=>[1,2,1,2,2] [7,6,5,2,1,8,4,3]=>1111011=>[1,1,1,1,2,1,1] [2,7,5,1,8,3,6,4]=>0110101=>[2,1,2,2,1] [5,1,8,7,4,3,6,2]=>1011101=>[1,2,1,1,2,1] [3,8,7,2,4,6,1,5]=>0110010=>[2,1,3,2] [5,7,1,3,2,4,8,6]=>0101001=>[2,2,3,1] [4,2,7,6,3,5,8,1]=>1011001=>[1,2,1,3,1] [8,4,7,6,3,5,1,2]=>1011010=>[1,2,1,2,2] [8,1,7,4,2,3,5,6]=>1011000=>[1,2,1,4] [6,5,1,3,8,7,4,2]=>1100111=>[1,1,3,1,1,1] [4,7,8,3,2,5,1,6]=>0011010=>[3,1,2,2] [6,1,8,5,3,7,2,4]=>1011010=>[1,2,1,2,2] [5,1,6,8,3,7,4,2]=>1001011=>[1,3,2,1,1] [8,6,5,1,7,4,3,2]=>1110111=>[1,1,1,2,1,1,1] [7,6,4,1,3,5,8,2]=>1110001=>[1,1,1,4,1] [8,2,3,7,1,4,5,6]=>1001000=>[1,3,4] [2,8,3,7,1,4,5,6]=>0101000=>[2,2,4] [5,6,2,7,4,3,1,8]=>0101110=>[2,2,1,1,2] [8,6,2,7,4,1,3,5]=>1101100=>[1,1,2,1,3] [3,7,8,2,6,1,4,5]=>0010100=>[3,2,3] [3,7,8,5,2,1,4,6]=>0011100=>[3,1,1,3] [6,8,4,7,3,1,5,2]=>0101101=>[2,2,1,2,1] [4,8,6,5,1,2,7,3]=>0111001=>[2,1,1,3,1] [4,8,6,5,1,2,3,7]=>0111000=>[2,1,1,4] [3,4,5,1,7,6,8,2]=>0010101=>[3,2,2,1] [3,8,7,6,5,1,2,4]=>0111100=>[2,1,1,1,3] [8,4,6,7,1,2,5,3]=>1001001=>[1,3,3,1] [5,7,2,6,1,8,4,3]=>0101011=>[2,2,2,1,1] [5,7,2,6,1,3,8,4]=>0101001=>[2,2,3,1] [5,8,2,6,1,4,7,3]=>0101001=>[2,2,3,1] [3,8,7,5,6,1,4,2]=>0110101=>[2,1,2,2,1] [6,8,4,7,2,1,5,3]=>0101101=>[2,2,1,2,1] [1,7,3,4,5,2,8,6]=>0100101=>[2,3,2,1] [4,8,2,1,3,5,6,7]=>0110000=>[2,1,5] [1,7,2,5,4,3,8,6]=>0101101=>[2,2,1,2,1] [2,6,7,3,4,8,1,5]=>0010010=>[3,3,2] [2,1,5,7,4,3,8,6]=>1001101=>[1,3,1,2,1] [4,1,8,7,5,6,2,3]=>1011010=>[1,2,1,2,2] [1,5,8,7,4,3,6,2]=>0011101=>[3,1,1,2,1] [6,4,1,3,8,7,5,2]=>1100111=>[1,1,3,1,1,1] [2,1,7,4,6,8,3,5]=>1010010=>[1,2,3,2] [1,7,2,4,6,8,3,5]=>0100010=>[2,4,2] [8,6,4,2,7,3,5,1]=>1110101=>[1,1,1,2,2,1] [7,4,6,1,2,3,8,5]=>1010001=>[1,2,4,1] [1,8,6,2,7,3,5,4]=>0110101=>[2,1,2,2,1] [1,7,8,6,2,3,5,4]=>0011001=>[3,1,3,1] [2,1,8,3,5,7,6,4]=>1010011=>[1,2,3,1,1] [3,5,8,1,7,6,2,4]=>0010110=>[3,2,1,2] [2,8,1,3,6,7,5,4]=>0100011=>[2,4,1,1] [7,2,4,8,6,1,5,3]=>1001101=>[1,3,1,2,1] [2,4,1,5,6,7,8,9,10,3]=>010000001=>[2,7,1] [2,3,4,5,6,7,9,1,10,8]=>000000101=>[7,2,1] [2,3,5,1,6,7,8,9,10,4]=>001000001=>[3,6,1] [2,3,4,5,6,8,1,9,10,7]=>000001001=>[6,3,1] [2,3,4,6,1,7,8,9,10,5]=>000100001=>[4,5,1] [2,3,4,5,7,1,8,9,10,6]=>000010001=>[5,4,1] [4,1,2,5,6,7,8,9,10,3]=>100000001=>[1,8,1] [4,3,1,5,6,7,8,10,2,9]=>110000010=>[1,1,6,2] [2,4,1,5,6,7,8,9,10,11,3]=>0100000001=>[2,8,1] [2,6,1,5,3,7,8,9,10,4]=>010100001=>[2,2,5,1] [2,3,4,5,6,7,8,10,1,11,9]=>0000000101=>[8,2,1] [5,3,4,1,6,7,9,2,10,8]=>101000101=>[1,2,4,2,1] [2,3,5,1,6,7,8,9,10,11,4]=>0010000001=>[3,7,1] [2,3,8,1,6,7,4,9,10,5]=>001001001=>[3,3,3,1] [2,3,4,5,6,7,9,1,10,11,8]=>0000001001=>[7,3,1] [6,3,4,5,1,8,2,9,10,7]=>100101001=>[1,3,2,3,1] [2,3,4,6,1,7,8,9,10,11,5]=>0001000001=>[4,6,1] [2,3,4,10,1,7,8,9,5,6]=>000100010=>[4,4,2] [2,3,4,5,6,8,1,9,10,11,7]=>0000010001=>[6,4,1] [2,3,4,5,7,1,8,9,10,11,6]=>0000100001=>[5,5,1] [8,2,1,3,4,5,6,7,9]=>11000000=>[1,1,7] [3,2,4,5,6,7,8,1,9]=>10000010=>[1,6,2] [9,2,1,3,4,5,6,7,8,10]=>110000000=>[1,1,8] [8,3,1,2,4,5,6,7,9]=>11000000=>[1,1,7] [8,2,3,1,4,5,6,7,9]=>10100000=>[1,2,6] [4,2,3,5,6,7,8,1,9]=>10000010=>[1,6,2] [6,4,3,2,8,1,7,5]=>1110101=>[1,1,1,2,2,1] [6,2,4,3,8,1,7,5]=>1010101=>[1,2,2,2,1] [5,8,4,3,1,6,7,2]=>0111001=>[2,1,1,3,1] [8,7,2,4,6,10,1,3,5,9]=>110001000=>[1,1,4,4] [2,10,7,9,4,6,8,1,3,5]=>010100100=>[2,2,3,3] [6,5,2,4,8,10,1,3,7,9]=>110001000=>[1,1,4,4] [2,8,5,7,4,6,10,1,3,9]=>010100100=>[2,2,3,3] [10,5,2,4,7,9,6,8,1,3]=>110001010=>[1,1,4,2,2] [10,9,2,8,5,7,4,6,1,3]=>110101010=>[1,1,2,2,2,2] [8,7,6,5,2,4,10,1,3,9]=>111100100=>[1,1,1,1,3,3] [10,7,2,6,5,9,4,8,1,3]=>110101010=>[1,1,2,2,2,2] [6,10,5,9,8,7,2,4,1,3]=>010111010=>[2,2,1,1,2,2] [4,10,3,9,2,6,8,1,5,7]=>010100100=>[2,2,3,3] [4,3,10,7,9,2,6,8,1,5]=>101010010=>[1,2,2,3,2] [3,6,2,5,4,8,10,1,7,9]=>010100100=>[2,2,3,3] [3,6,10,2,5,9,4,8,1,7]=>001001010=>[3,3,2,2] [3,5,8,2,4,7,6,10,1,9]=>001001010=>[3,3,2,2] [3,5,7,10,2,4,6,9,8,1]=>000100011=>[4,4,1,1] [10,9,3,5,8,2,4,7,6,1]=>110010011=>[1,1,3,3,1,1] [8,7,3,6,2,5,4,10,1,9]=>110101010=>[1,1,2,2,2,2] [7,6,3,5,10,2,4,9,8,1]=>110010011=>[1,1,3,3,1,1] [3,6,10,9,8,2,5,7,4,1]=>001110011=>[3,1,1,3,1,1] [10,9,8,7,3,6,2,5,4,1]=>111101011=>[1,1,1,1,2,2,1,1] [5,4,3,8,2,7,6,10,1,9]=>110101010=>[1,1,2,2,2,2] [5,4,3,7,10,2,6,9,8,1]=>110010011=>[1,1,3,3,1,1] [5,10,4,9,3,8,2,7,6,1]=>010101011=>[2,2,2,2,1,1] [4,8,3,7,6,5,2,10,1,9]=>010111010=>[2,2,1,1,2,2] [4,7,3,6,5,10,2,9,8,1]=>010101011=>[2,2,2,2,1,1] [4,6,10,3,5,9,8,7,2,1]=>001001111=>[3,3,1,1,1,1] [10,9,4,8,3,7,6,5,2,1]=>110101111=>[1,1,2,2,1,1,1,1] [7,6,5,4,3,10,2,9,8,1]=>111101011=>[1,1,1,1,2,2,1,1] [6,5,4,10,3,9,8,7,2,1]=>110101111=>[1,1,2,2,1,1,1,1] [5,10,4,9,8,7,6,3,2,1]=>010111111=>[2,2,1,1,1,1,1,1] [2,12,9,11,4,6,8,10,1,3,5,7]=>01010001000=>[2,2,4,4] [12,11,10,9,2,4,6,8,1,3,5,7]=>11110001000=>[1,1,1,1,4,4] [8,12,7,11,2,4,6,10,1,3,5,9]=>01010001000=>[2,2,4,4] [2,10,7,9,4,6,8,12,1,3,5,11]=>01010001000=>[2,2,4,4] [2,4,12,7,9,11,6,8,10,1,3,5]=>00100100100=>[3,3,3,3] [12,11,2,10,7,9,4,6,8,1,3,5]=>11010100100=>[1,1,2,2,3,3] [10,9,8,7,2,4,6,12,1,3,5,11]=>11110001000=>[1,1,1,1,4,4] [12,9,2,8,7,11,4,6,10,1,3,5]=>11010100100=>[1,1,2,2,3,3] [6,12,5,11,2,4,8,10,1,3,7,9]=>01010001000=>[2,2,4,4] [6,10,5,9,2,4,8,12,1,3,7,11]=>01010001000=>[2,2,4,4] [6,5,12,9,11,2,4,8,10,1,3,7]=>10101000100=>[1,2,2,4,3] [12,11,6,10,5,9,2,4,8,1,3,7]=>11010100100=>[1,1,2,2,3,3] [2,8,5,7,4,6,10,12,1,3,9,11]=>01010001000=>[2,2,4,4] [2,8,12,5,7,11,4,6,10,1,3,9]=>00100100100=>[3,3,3,3] [10,9,2,8,5,7,4,6,12,1,3,11]=>11010100100=>[1,1,2,2,3,3] [2,12,5,11,8,10,7,9,4,6,1,3]=>01010101010=>[2,2,2,2,2,2] [8,7,6,5,2,4,10,12,1,3,9,11]=>11110001000=>[1,1,1,1,4,4] [8,7,6,12,5,11,2,4,10,1,3,9]=>11010100100=>[1,1,2,2,3,3] [10,7,2,6,5,9,4,8,12,1,3,11]=>11010100100=>[1,1,2,2,3,3] [2,12,7,11,6,10,5,9,4,8,1,3]=>01010101010=>[2,2,2,2,2,2] [2,12,6,9,5,8,7,11,4,10,1,3]=>01010101010=>[2,2,2,2,2,2] [12,11,6,10,5,9,8,7,2,4,1,3]=>11010111010=>[1,1,2,2,1,1,2,2] [8,7,6,12,5,11,10,9,2,4,1,3]=>11010111010=>[1,1,2,2,1,1,2,2] [7,12,6,11,10,9,8,5,2,4,1,3]=>01011111010=>[2,2,1,1,1,1,2,2] [12,11,10,9,8,7,6,5,2,4,1,3]=>11111111010=>[1,1,1,1,1,1,1,1,2,2] [4,12,3,11,2,6,8,10,1,5,7,9]=>01010001000=>[2,2,4,4] [4,10,3,9,2,6,8,12,1,5,7,11]=>01010001000=>[2,2,4,4] [4,3,12,9,11,2,6,8,10,1,5,7]=>10101000100=>[1,2,2,4,3] [12,11,4,10,3,9,2,6,8,1,5,7]=>11010100100=>[1,1,2,2,3,3] [4,8,3,7,2,6,10,12,1,5,9,11]=>01010001000=>[2,2,4,4] [4,8,12,3,7,11,2,6,10,1,5,9]=>00100100100=>[3,3,3,3] [4,3,10,7,9,2,6,8,12,1,5,11]=>10101000100=>[1,2,2,4,3] [12,4,11,3,10,7,9,2,6,8,1,5]=>10101010010=>[1,2,2,2,3,2] [10,9,4,8,3,7,2,6,12,1,5,11]=>11010100100=>[1,1,2,2,3,3] [12,4,9,3,8,7,11,2,6,10,1,5]=>10101010010=>[1,2,2,2,3,2] [3,6,2,5,4,8,10,12,1,7,9,11]=>01010001000=>[2,2,4,4] [3,6,12,2,5,11,4,8,10,1,7,9]=>00100100100=>[3,3,3,3] [3,6,10,2,5,9,4,8,12,1,7,11]=>00100100100=>[3,3,3,3] [3,5,8,2,4,7,6,10,12,1,9,11]=>00100100100=>[3,3,3,3] [3,5,8,12,2,4,7,11,6,10,1,9]=>00010001010=>[4,4,2,2] [3,5,7,10,2,4,6,9,8,12,1,11]=>00010001010=>[4,4,2,2] [12,11,3,5,7,10,2,4,6,9,8,1]=>11000100011=>[1,1,4,4,1,1] [9,8,3,5,7,12,2,4,6,11,10,1]=>11000100011=>[1,1,4,4,1,1] [8,7,3,6,2,5,4,10,12,1,9,11]=>11010100100=>[1,1,2,2,3,3] [7,6,3,5,9,12,2,4,8,11,10,1]=>11000100011=>[1,1,4,4,1,1] [3,12,7,11,10,9,6,8,2,5,4,1]=>01011101011=>[2,2,1,1,2,2,1,1] [6,5,4,3,2,8,10,12,1,7,9,11]=>11110001000=>[1,1,1,1,4,4] [6,5,4,12,3,11,2,8,10,1,7,9]=>11010100100=>[1,1,2,2,3,3] [6,5,4,10,3,9,2,8,12,1,7,11]=>11010100100=>[1,1,2,2,3,3] [5,4,3,8,2,7,6,10,12,1,9,11]=>11010100100=>[1,1,2,2,3,3] [5,4,3,7,9,12,2,6,8,11,10,1]=>11000100011=>[1,1,4,4,1,1] [5,10,4,9,3,8,2,7,6,12,1,11]=>01010101010=>[2,2,2,2,2,2] [12,11,5,10,4,9,3,8,2,7,6,1]=>11010101011=>[1,1,2,2,2,2,1,1] [4,8,3,7,6,12,5,11,2,10,1,9]=>01010101010=>[2,2,2,2,2,2] [4,7,3,6,5,10,2,9,8,12,1,11]=>01010101010=>[2,2,2,2,2,2] [4,7,12,3,6,11,5,10,2,9,8,1]=>00100101011=>[3,3,2,2,1,1] [4,6,9,3,5,8,7,12,2,11,10,1]=>00100101011=>[3,3,2,2,1,1] [4,6,8,12,3,5,7,11,10,9,2,1]=>00010001111=>[4,4,1,1,1,1] [10,9,4,8,3,7,6,5,2,12,1,11]=>11010111010=>[1,1,2,2,1,1,2,2] [9,8,4,7,3,6,5,12,2,11,10,1]=>11010101011=>[1,1,2,2,2,2,1,1] [12,11,10,9,4,8,3,7,6,5,2,1]=>11110101111=>[1,1,1,1,2,2,1,1,1,1] [7,6,5,12,4,11,3,10,2,9,8,1]=>11010101011=>[1,1,2,2,2,2,1,1] [6,5,4,10,3,9,8,7,2,12,1,11]=>11010111010=>[1,1,2,2,1,1,2,2] [6,5,4,9,3,8,7,12,2,11,10,1]=>11010101011=>[1,1,2,2,2,2,1,1] [6,12,5,11,4,10,3,9,8,7,2,1]=>01010101111=>[2,2,2,2,1,1,1,1] [5,10,4,9,8,7,6,3,2,12,1,11]=>01011111010=>[2,2,1,1,1,1,2,2] [5,9,4,8,7,6,3,12,2,11,10,1]=>01011101011=>[2,2,1,1,2,2,1,1] [5,8,4,7,6,12,3,11,10,9,2,1]=>01010101111=>[2,2,2,2,1,1,1,1] [10,9,8,7,6,5,4,3,2,12,1,11]=>11111111010=>[1,1,1,1,1,1,1,1,2,2] [8,7,6,5,4,12,3,11,10,9,2,1]=>11110101111=>[1,1,1,1,2,2,1,1,1,1] [6,12,5,11,10,9,8,7,4,3,2,1]=>01011111111=>[2,2,1,1,1,1,1,1,1,1] [4,2,8,1,5,7,6,3]=>1010011=>[1,2,3,1,1] [6,3,7,2,5,4,8,1]=>1010101=>[1,2,2,2,1] [5,4,7,3,2,6,8,1]=>1011001=>[1,2,1,3,1] [5,7,2,6,3,4,8,1]=>0101001=>[2,2,3,1] [3,7,5,4,6,2,8,1]=>0110101=>[2,1,2,2,1] [6,8,3,2,1,7,4,5]=>0111010=>[2,1,1,2,2] [4,8,1,7,5,3,2,6]=>0101110=>[2,2,1,1,2] [5,4,3,7,2,8,6,1]=>1101011=>[1,1,2,2,1,1] [3,6,5,7,2,8,4,1]=>0101011=>[2,2,2,1,1] [4,6,5,3,8,2,1,7]=>0110110=>[2,1,2,1,2] [2,6,5,8,7,3,1,4]=>0101110=>[2,2,1,1,2] [6,3,8,4,1,7,2,5]=>1011010=>[1,2,1,2,2] [7,2,8,1,6,4,3,5]=>1010110=>[1,2,2,1,2] [3,2,8,7,6,4,1,5]=>1011110=>[1,2,1,1,1,2] [8,2,6,4,3,5,1,7]=>1011010=>[1,2,1,2,2] [5,4,2,8,6,3,7,1]=>1101101=>[1,1,2,1,2,1] [2,8,7,5,3,1,4,6]=>0111100=>[2,1,1,1,3] [2,5,6,3,1,4,8,7]=>0011001=>[3,1,3,1] [2,4,7,8,5,3,1,6]=>0001110=>[4,1,1,2] [6,5,3,2,4,1,8,7]=>1110101=>[1,1,1,2,2,1] [6,5,8,7,3,2,4,1]=>1011101=>[1,2,1,1,2,1] [2,1,4,7,8,5,3,6]=>1000110=>[1,4,1,2] [8,5,6,7,3,1,4,2]=>1001101=>[1,3,1,2,1] [8,7,5,3,2,6,4,1]=>1111011=>[1,1,1,1,2,1,1] [8,5,3,1,4,6,7,2]=>1110001=>[1,1,1,4,1] [8,5,1,6,4,3,7,2]=>1101101=>[1,1,2,1,2,1] [6,1,4,3,7,8,2,5]=>1010010=>[1,2,3,2] [6,1,2,7,5,8,3,4]=>1001010=>[1,3,2,2] [2,7,3,1,4,6,8,5]=>0110001=>[2,1,4,1] [2,8,3,1,6,5,7,4]=>0110101=>[2,1,2,2,1] [3,8,5,6,7,1,2,4]=>0100100=>[2,3,3] [2,5,8,1,4,6,7,3]=>0010001=>[3,4,1] [2,1,8,7,5,4,6,3]=>1011101=>[1,2,1,1,2,1] [7,8,3,4,1,6,5,2]=>0101011=>[2,2,2,1,1] [8,7,3,4,2,6,5,1]=>1101011=>[1,1,2,2,1,1] [8,4,5,2,3,7,1,6]=>1010010=>[1,2,3,2] [4,7,2,8,6,3,1,5]=>0101110=>[2,2,1,1,2] [4,7,5,2,3,8,1,6]=>0110010=>[2,1,3,2] [6,4,7,5,2,8,3,1]=>1011011=>[1,2,1,2,1,1] [7,5,1,3,6,4,8,2]=>1100101=>[1,1,3,2,1] [6,5,2,3,7,8,4,1]=>1100011=>[1,1,4,1,1] [7,2,6,3,1,5,8,4]=>1011001=>[1,2,1,3,1] [4,6,3,8,7,5,1,2]=>0101110=>[2,2,1,1,2] [2,8,4,1,5,7,6,3]=>0110011=>[2,1,3,1,1] [1,8,4,2,5,7,6,3]=>0110011=>[2,1,3,1,1] [2,8,5,4,1,7,6,3]=>0111011=>[2,1,1,2,1,1] [2,5,8,3,7,1,6,4]=>0010101=>[3,2,2,1] [1,8,5,2,4,7,6,3]=>0110011=>[2,1,3,1,1] [1,4,6,2,8,7,5,3]=>0010111=>[3,2,1,1,1] [7,8,2,4,1,6,5,3]=>0101011=>[2,2,2,1,1] [2,4,6,1,8,7,5,3]=>0010111=>[3,2,1,1,1] [2,8,4,5,1,7,6,3]=>0101011=>[2,2,2,1,1] [3,5,8,2,7,6,1,4]=>0010110=>[3,2,1,2] [2,1,6,8,7,5,3,4]=>1001110=>[1,3,1,1,2] [1,8,2,4,5,7,6,3]=>0100011=>[2,4,1,1] [1,2,8,3,5,7,6,4]=>0010011=>[3,3,1,1] [1,3,8,2,5,7,6,4]=>0010011=>[3,3,1,1] [2,3,8,1,5,7,6,4]=>0010011=>[3,3,1,1] [2,6,1,8,7,5,3,4]=>0101110=>[2,2,1,1,2] [1,6,2,8,7,5,3,4]=>0101110=>[2,2,1,1,2] [1,6,3,8,7,5,2,4]=>0101110=>[2,2,1,1,2] [2,6,3,8,7,5,1,4]=>0101110=>[2,2,1,1,2] [3,2,8,1,5,7,6,4]=>1010011=>[1,2,3,1,1] [3,1,8,2,5,7,6,4]=>1010011=>[1,2,3,1,1] [2,8,1,4,5,7,6,3]=>0100011=>[2,4,1,1] [7,8,2,1,4,6,5,3]=>0110011=>[2,1,3,1,1] [2,3,6,8,7,5,1,4]=>0001110=>[4,1,1,2] [3,1,6,8,7,2,5,4]=>1001101=>[1,3,1,2,1] [3,8,4,5,1,6,2,7]=>0101010=>[2,2,2,2] [6,1,4,5,7,2,3,8]=>1000100=>[1,4,3] [8,1,4,7,6,3,2,5]=>1001110=>[1,3,1,1,2] [8,3,1,6,4,7,2,5]=>1101010=>[1,1,2,2,2] [5,3,8,6,2,7,1,4]=>1011010=>[1,2,1,2,2] [8,3,6,1,5,7,2,4]=>1010010=>[1,2,3,2] [8,4,6,3,1,2,5,7]=>1011000=>[1,2,1,4] [6,8,1,4,5,2,3,7]=>0100100=>[2,3,3] [1,5,8,4,6,2,3,7]=>0010100=>[3,2,3] [2,1,6,5,3,8,4,7]=>1011010=>[1,2,1,2,2] [5,6,8,1,4,2,3,7]=>0010100=>[3,2,3] [5,7,4,8,1,2,3,6]=>0101000=>[2,2,4] [8,2,1,5,3,7,4,6]=>1101010=>[1,1,2,2,2] [4,7,8,1,2,6,3,5]=>0010010=>[3,3,2] [8,7,1,5,6,2,3,4]=>1100100=>[1,1,3,3] [1,6,5,8,7,2,3,4]=>0101100=>[2,2,1,3] [3,7,1,6,2,4,8,5]=>0101001=>[2,2,3,1] [5,1,2,7,6,8,3,4]=>1001010=>[1,3,2,2] [6,1,7,2,5,8,3,4]=>1010010=>[1,2,3,2] [1,7,6,5,8,2,3,4]=>0110100=>[2,1,2,3] [1,6,8,5,7,2,3,4]=>0010100=>[3,2,3] [7,5,1,2,6,8,3,4]=>1100010=>[1,1,4,2] [6,1,5,2,7,8,3,4]=>1010010=>[1,2,3,2] [1,6,3,8,7,2,4,5]=>0101100=>[2,2,1,3] [1,7,3,2,4,6,8,5]=>0110001=>[2,1,4,1] [8,3,1,4,2,5,7,6]=>1101001=>[1,1,2,3,1] [3,1,2,7,8,4,6,5]=>1000101=>[1,4,2,1] [5,1,2,6,8,7,3,4]=>1000110=>[1,4,1,2] [1,8,6,2,5,7,3,4]=>0110010=>[2,1,3,2] [5,7,8,1,2,6,3,4]=>0010010=>[3,3,2] [8,1,5,7,6,2,3,4]=>1001100=>[1,3,1,3] [7,1,6,8,5,2,3,4]=>1001100=>[1,3,1,3] [3,7,1,2,8,4,6,5]=>0100101=>[2,3,2,1] [8,3,1,2,7,6,4,5]=>1100110=>[1,1,3,1,2] [1,5,8,7,6,2,3,4]=>0011100=>[3,1,1,3] [7,8,6,1,5,2,3,4]=>0110100=>[2,1,2,3] [1,9,3,4,5,6,7,8,2]=>01000001=>[2,6,1] [9,2,3,4,5,6,7,8,1,10]=>100000010=>[1,7,2] [1,9,8,4,5,6,7,3,2]=>01100011=>[2,1,4,1,1] [1,10,3,4,5,6,7,8,9,2]=>010000001=>[2,7,1] [1,10,9,4,5,6,7,8,3,2]=>011000011=>[2,1,5,1,1] [7,8,6,3,1,5,2,4]=>0111010=>[2,1,1,2,2] [7,8,1,3,4,5,2,6]=>0100010=>[2,4,2] [1,7,4,8,2,5,3,6]=>0101010=>[2,2,2,2] [3,8,6,1,4,2,7,5]=>0110101=>[2,1,2,2,1] [7,1,8,2,4,6,3,5]=>1010010=>[1,2,3,2] [7,6,8,4,1,5,3,2]=>1011011=>[1,2,1,2,1,1] [7,3,2,8,1,5,4,6]=>1101010=>[1,1,2,2,2] [3,5,4,1,7,2,6,8]=>0110100=>[2,1,2,3] [6,4,7,3,2,5,1,8]=>1011010=>[1,2,1,2,2] [7,6,5,3,8,4,1,2]=>1110110=>[1,1,1,2,1,2] [6,4,5,7,8,1,3,2]=>1000101=>[1,4,2,1] [3,7,4,1,6,8,5,2]=>0110011=>[2,1,3,1,1] [3,1,2,7,6,8,5,4]=>1001011=>[1,3,2,1,1] [6,3,2,8,4,5,1,7]=>1101010=>[1,1,2,2,2] [6,1,8,3,5,4,2,7]=>1010110=>[1,2,2,1,2] [3,8,5,2,4,6,1,7]=>0110010=>[2,1,3,2] [1,6,4,8,3,5,2,7]=>0101010=>[2,2,2,2] [1,5,4,8,6,3,7,2]=>0101101=>[2,2,1,2,1] [4,8,2,5,3,7,1,6]=>0101010=>[2,2,2,2] [3,8,4,5,2,6,7,1]=>0101001=>[2,2,3,1] [4,1,8,6,5,3,7,2]=>1011101=>[1,2,1,1,2,1] [5,7,8,4,6,3,2,1]=>0010111=>[3,2,1,1,1] [5,3,2,8,6,4,7,1]=>1101101=>[1,1,2,1,2,1] [6,8,1,2,7,4,3,5]=>0100110=>[2,3,1,2] [5,8,7,3,6,2,4,1]=>0110101=>[2,1,2,2,1] [7,5,2,3,4,8,6,1]=>1100011=>[1,1,4,1,1] [7,3,5,4,2,8,6,1]=>1011011=>[1,2,1,2,1,1] [5,6,1,3,2,4,7,8]=>0101000=>[2,2,4] [2,5,1,3,7,8,6,4]=>0100011=>[2,4,1,1] [4,3,7,2,1,8,6,5]=>1011011=>[1,2,1,2,1,1] [4,6,7,2,1,3,5,8]=>0011000=>[3,1,4] [4,6,2,3,1,5,7,8]=>0101000=>[2,2,4] [3,6,4,2,5,1,7,8]=>0110100=>[2,1,2,3] [3,1,6,4,7,5,2,8]=>1010110=>[1,2,2,1,2] [3,6,2,7,5,4,1,8]=>0101110=>[2,2,1,1,2] [2,4,7,5,3,6,1,8]=>0011010=>[3,1,2,2] [2,5,7,3,4,1,6,8]=>0010100=>[3,2,3] [2,3,5,8,6,4,7,1]=>0001101=>[4,1,2,1] [2,4,7,3,8,6,5,1]=>0010111=>[3,2,1,1,1] [3,4,2,7,5,8,6,1]=>0101011=>[2,2,2,1,1] [3,1,5,4,7,8,6,2]=>1010011=>[1,2,3,1,1] [4,5,7,2,3,1,8,6]=>0010101=>[3,2,2,1] [3,7,8,1,4,6,5,2]=>0010011=>[3,3,1,1] [2,5,8,7,4,1,3,6]=>0011100=>[3,1,1,3] [2,6,4,7,5,3,8,1]=>0101101=>[2,2,1,2,1] [6,2,4,7,1,3,8,5]=>1001001=>[1,3,3,1] [7,3,5,1,4,2,8,6]=>1010101=>[1,2,2,2,1] [5,4,7,1,3,2,8,6]=>1010101=>[1,2,2,2,1] [6,1,4,7,5,3,8,2]=>1001101=>[1,3,1,2,1] [8,7,4,3,1,5,6,2]=>1111001=>[1,1,1,1,3,1] [8,7,1,4,3,5,6,2]=>1101001=>[1,1,2,3,1] [6,1,8,4,7,3,2,5]=>1010110=>[1,2,2,1,2] [4,7,3,6,1,2,8,5]=>0101001=>[2,2,3,1] [5,2,1,7,4,3,8,6]=>1101101=>[1,1,2,1,2,1] [4,7,6,2,3,1,8,5]=>0110101=>[2,1,2,2,1] [7,6,8,2,5,3,4,1]=>1010101=>[1,2,2,2,1] [2,3,6,1,8,7,5,4]=>0010111=>[3,2,1,1,1] [2,6,8,7,5,3,1,4]=>0011110=>[3,1,1,1,2] [6,4,1,7,5,2,8,3]=>1101101=>[1,1,2,1,2,1] [5,7,8,2,3,6,1,4]=>0010010=>[3,3,2] [4,8,7,1,2,5,6,3]=>0110001=>[2,1,4,1] [2,8,7,4,1,5,6,3]=>0111001=>[2,1,1,3,1] [8,6,2,1,5,7,4,3]=>1110011=>[1,1,1,3,1,1] [3,8,6,7,5,2,1,4]=>0101110=>[2,2,1,1,2] [6,1,3,7,5,8,2,4]=>1001010=>[1,3,2,2] [4,7,3,1,8,5,6,2]=>0110101=>[2,1,2,2,1] [2,6,7,5,3,4,8,1]=>0011001=>[3,1,3,1] [2,6,4,5,7,3,8,1]=>0100101=>[2,3,2,1] [6,1,4,5,8,3,7,2]=>1000101=>[1,4,2,1] [6,1,8,5,3,4,7,2]=>1011001=>[1,2,1,3,1] [4,1,5,6,8,3,7,2]=>1000101=>[1,4,2,1] [6,4,1,8,7,2,5,3]=>1101101=>[1,1,2,1,2,1] [8,1,2,3,4,5,6,7,10,9]=>100000001=>[1,8,1] [1,7,2,3,4,5,6,9,8]=>01000001=>[2,6,1] [1,3,8,5,2,7,4,6]=>0011010=>[3,1,2,2] [1,3,8,6,7,2,4,5]=>0010100=>[3,2,3] [2,8,3,7,6,1,4,5]=>0101100=>[2,2,1,3] [4,2,7,8,6,1,3,5]=>1001100=>[1,3,1,3] [1,3,8,7,6,2,4,5]=>0011100=>[3,1,1,3] [7,4,6,8,5,2,3,1]=>1001101=>[1,3,1,2,1] [7,5,3,6,8,2,1,4]=>1100110=>[1,1,3,1,2] [5,2,6,7,8,1,3,4]=>1000100=>[1,4,3] [4,5,6,8,1,2,7,3]=>0001001=>[4,3,1] [3,5,8,6,1,2,7,4]=>0011001=>[3,1,3,1] [4,2,6,8,7,1,3,5]=>1001100=>[1,3,1,3] [1,4,6,8,7,2,3,5]=>0001100=>[4,1,3] [4,5,3,8,1,7,2,6]=>0101010=>[2,2,2,2] [3,5,8,4,1,7,2,6]=>0011010=>[3,1,2,2] [1,6,5,7,8,2,3,4]=>0100100=>[2,3,3] [5,6,4,8,2,3,7,1]=>0101001=>[2,2,3,1] [6,5,4,8,1,3,7,2]=>1101001=>[1,1,2,3,1] [7,6,4,8,5,1,3,2]=>1101101=>[1,1,2,1,2,1] [7,2,6,5,8,1,3,4]=>1010100=>[1,2,2,3] [6,3,7,5,2,4,8,1]=>1011001=>[1,2,1,3,1] [8,1,2,7,4,5,3,6]=>1001010=>[1,3,2,2] [2,5,7,4,6,1,3,8]=>0010100=>[3,2,3] [6,1,7,4,5,3,8,2]=>1010101=>[1,2,2,2,1] [8,2,7,3,1,5,4,6]=>1011010=>[1,2,1,2,2] [2,6,4,8,3,1,7,5]=>0101101=>[2,2,1,2,1] [8,1,3,7,5,6,4,2]=>1001011=>[1,3,2,1,1] [1,2,5,3,8,6,7,4]=>0010101=>[3,2,2,1] [4,1,6,5,7,8,2,3]=>1010010=>[1,2,3,2] [6,1,3,7,4,2,8,5]=>1001101=>[1,3,1,2,1] [6,7,2,4,1,3,8,5]=>0101001=>[2,2,3,1] [7,3,8,4,2,6,5,1]=>1011011=>[1,2,1,2,1,1] [8,5,3,4,2,7,1,6]=>1101010=>[1,1,2,2,2] [1,3,8,2,5,6,7,4]=>0010001=>[3,4,1] [1,8,6,7,2,5,4,3]=>0101011=>[2,2,2,1,1] [7,6,8,3,5,4,2,1]=>1010111=>[1,2,2,1,1,1] [1,6,7,3,8,5,4,2]=>0010111=>[3,2,1,1,1] [8,7,2,4,6,1,5,3]=>1100101=>[1,1,3,2,1] [7,8,6,5,2,4,3,1]=>0111011=>[2,1,1,2,1,1] [3,6,7,5,2,8,4,1]=>0011011=>[3,1,2,1,1] [5,4,6,7,8,1,3,2]=>1000101=>[1,4,2,1] [5,3,6,7,8,1,4,2]=>1000101=>[1,4,2,1] [5,3,7,6,8,4,1,2]=>1010110=>[1,2,2,1,2] [7,5,3,2,8,6,4,1]=>1110111=>[1,1,1,2,1,1,1] [5,4,8,6,7,2,3,1]=>1010101=>[1,2,2,2,1] [5,4,8,6,3,1,2,7]=>1011100=>[1,2,1,1,3] [4,5,7,3,6,2,8,1]=>0010101=>[3,2,2,1] [4,5,6,3,8,2,7,1]=>0010101=>[3,2,2,1] [5,4,8,7,2,1,3,6]=>1011100=>[1,2,1,1,3] [2,5,4,7,8,1,3,6]=>0100100=>[2,3,3] [5,3,6,4,8,2,7,1]=>1010101=>[1,2,2,2,1] [5,3,7,4,6,2,8,1]=>1010101=>[1,2,2,2,1] [8,2,6,3,7,4,5,1]=>1010101=>[1,2,2,2,1] [8,2,4,7,3,5,6,1]=>1001001=>[1,3,3,1] [8,2,6,5,7,3,4,1]=>1010101=>[1,2,2,2,1] [4,5,6,2,7,3,8,1]=>0010101=>[3,2,2,1] [5,4,6,2,8,3,7,1]=>1010101=>[1,2,2,2,1] [8,4,6,1,7,2,5,3]=>1010101=>[1,2,2,2,1] [5,2,1,6,3,8,7,4]=>1101011=>[1,1,2,2,1,1] [4,5,6,3,7,1,8,2]=>0010101=>[3,2,2,1] [6,3,2,8,5,4,1,7]=>1101110=>[1,1,2,1,1,2] [4,3,1,5,2,8,6,7]=>1101010=>[1,1,2,2,2] [8,5,4,1,3,2,6,7]=>1110100=>[1,1,1,2,3] [3,8,4,1,5,2,6,7]=>0110100=>[2,1,2,3] [2,5,4,3,8,1,6,7]=>0110100=>[2,1,2,3] [2,5,7,4,3,1,6,8]=>0011100=>[3,1,1,3] [5,3,4,2,7,1,6,8]=>1010100=>[1,2,2,3] [3,7,5,4,1,2,6,8]=>0111000=>[2,1,1,4] [4,2,5,1,3,8,7,6]=>1010011=>[1,2,3,1,1] [4,3,5,1,2,7,6,8]=>1010010=>[1,2,3,2] [5,3,4,1,7,2,6,8]=>1010100=>[1,2,2,3] [4,1,6,3,5,2,7,8]=>1010100=>[1,2,2,3] [4,2,1,8,6,3,7,5]=>1101101=>[1,1,2,1,2,1] [3,1,7,2,5,6,4,8]=>1010010=>[1,2,3,2] [3,7,5,4,2,1,6,8]=>0111100=>[2,1,1,1,3] [3,7,2,4,1,6,5,8]=>0101010=>[2,2,2,2] [7,3,2,1,6,4,5,8]=>1110100=>[1,1,1,2,3] [2,8,6,1,7,4,3,5]=>0110110=>[2,1,2,1,2] [2,5,4,6,1,3,7,8]=>0101000=>[2,2,4] [2,5,6,4,1,3,7,8]=>0011000=>[3,1,4] [8,5,2,6,1,3,7,4]=>1101001=>[1,1,2,3,1] [7,1,5,6,3,2,4,8]=>1001100=>[1,3,1,3] [7,1,2,5,4,6,3,8]=>1001010=>[1,3,2,2] [2,4,1,6,5,3,7,8]=>0101100=>[2,2,1,3] [4,1,2,7,5,6,3,8]=>1001010=>[1,3,2,2] [7,1,2,6,5,4,3,8]=>1001110=>[1,3,1,1,2] [8,2,1,5,6,3,7,4]=>1100101=>[1,1,3,2,1] [6,1,4,5,3,2,7,8]=>1001100=>[1,3,1,3] [3,1,6,5,4,2,7,8]=>1011100=>[1,2,1,1,3] [3,1,4,6,5,2,7,8]=>1001100=>[1,3,1,3] [6,4,1,5,3,2,8,7]=>1101101=>[1,1,2,1,2,1] [2,1,8,6,3,7,5,4]=>1011011=>[1,2,1,2,1,1] [5,8,3,1,7,6,4,2]=>0110111=>[2,1,2,1,1,1] [7,6,3,2,8,5,1,4]=>1110110=>[1,1,1,2,1,2] [5,6,3,8,7,4,1,2]=>0101110=>[2,2,1,1,2] [5,2,6,8,7,4,1,3]=>1001110=>[1,3,1,1,2] [6,3,8,5,4,1,2,7]=>1011100=>[1,2,1,1,3] [6,3,8,4,5,1,2,7]=>1010100=>[1,2,2,3] [5,2,3,1,4,8,6,7]=>1010010=>[1,2,3,2] [5,4,1,3,2,8,6,7]=>1101010=>[1,1,2,2,2] [5,1,3,4,2,8,6,7]=>1001010=>[1,3,2,2] [5,2,1,4,3,8,6,7]=>1101010=>[1,1,2,2,2] [4,2,7,3,8,5,1,6]=>1010110=>[1,2,2,1,2] [4,7,3,2,8,5,1,6]=>0110110=>[2,1,2,1,2] [4,3,7,2,8,5,6,1]=>1010101=>[1,2,2,2,1] [5,3,1,2,4,8,6,7]=>1100010=>[1,1,4,2] [5,4,3,1,2,8,6,7]=>1110010=>[1,1,1,3,2] [5,3,4,1,2,8,6,7]=>1010010=>[1,2,3,2] [5,2,3,4,1,8,6,7]=>1001010=>[1,3,2,2] [5,1,7,3,4,6,8,2]=>1010001=>[1,2,4,1] [5,8,7,4,3,1,6,2]=>0111101=>[2,1,1,1,2,1] [6,8,1,3,4,5,7,2]=>0100001=>[2,5,1] [3,5,2,8,1,6,7,4]=>0101001=>[2,2,3,1] [3,1,7,8,2,5,4,6]=>1001010=>[1,3,2,2] [6,2,3,7,4,1,8,5]=>1001101=>[1,3,1,2,1] [6,3,7,4,1,2,5,8]=>1011000=>[1,2,1,4] [3,7,2,8,6,5,1,4]=>0101110=>[2,2,1,1,2] [3,6,7,5,1,2,4,8]=>0011000=>[3,1,4] [7,4,5,1,8,2,3,6]=>1010100=>[1,2,2,3] [7,2,3,1,8,4,5,6]=>1010100=>[1,2,2,3] [2,1,4,8,3,7,5,6]=>1001010=>[1,3,2,2] [4,8,1,6,7,3,2,5]=>0100110=>[2,3,1,2] [1,2,7,8,4,3,6,5]=>0001101=>[4,1,2,1] [5,8,1,4,3,2,7,6]=>0101101=>[2,2,1,2,1] [4,8,1,3,5,6,2,7]=>0100010=>[2,4,2] [5,3,7,8,4,2,6,1]=>1001101=>[1,3,1,2,1] [6,3,7,8,2,4,5,1]=>1001001=>[1,3,3,1] [8,5,2,4,3,1,7,6]=>1101101=>[1,1,2,1,2,1] [7,5,4,2,3,1,8,6]=>1110101=>[1,1,1,2,2,1] [3,5,6,4,8,1,7,2]=>0010101=>[3,2,2,1] [3,5,4,6,7,1,8,2]=>0100101=>[2,3,2,1] [1,4,2,6,5,8,7,3]=>0101011=>[2,2,2,1,1] [1,3,2,6,4,8,7,5]=>0101011=>[2,2,2,1,1] [1,4,2,5,3,8,7,6]=>0101011=>[2,2,2,1,1] [1,5,2,6,4,8,7,3]=>0101011=>[2,2,2,1,1] [1,6,2,5,3,8,7,4]=>0101011=>[2,2,2,1,1] [2,5,1,4,3,8,7,6]=>0101011=>[2,2,2,1,1] [1,7,3,5,4,8,6,2]=>0101011=>[2,2,2,1,1] [1,8,2,6,3,7,5,4]=>0101011=>[2,2,2,1,1] [1,8,3,6,4,7,5,2]=>0101011=>[2,2,2,1,1] [1,7,2,6,4,8,5,3]=>0101011=>[2,2,2,1,1] [1,7,2,6,3,8,5,4]=>0101011=>[2,2,2,1,1] [1,5,2,7,4,8,6,3]=>0101011=>[2,2,2,1,1] [1,4,2,8,5,7,6,3]=>0101011=>[2,2,2,1,1] [4,8,1,3,2,6,5,7]=>0101010=>[2,2,2,2] [1,5,3,8,4,7,6,2]=>0101011=>[2,2,2,1,1] [1,8,4,7,3,6,5,2]=>0101011=>[2,2,2,1,1] [2,6,3,8,1,5,4,7]=>0101010=>[2,2,2,2] [8,3,1,4,2,6,5,7]=>1101010=>[1,1,2,2,2] [4,8,7,3,5,2,1,6]=>0110110=>[2,1,2,1,2] [6,8,7,3,5,2,4,1]=>0110101=>[2,1,2,2,1] [8,3,5,1,2,6,4,7]=>1010010=>[1,2,3,2] [8,6,3,1,5,4,2,7]=>1110110=>[1,1,1,2,1,2] [8,6,4,1,5,3,2,7]=>1110110=>[1,1,1,2,1,2] [8,6,5,4,1,3,2,7]=>1111010=>[1,1,1,1,2,2] [5,3,8,7,4,6,2,1]=>1011011=>[1,2,1,2,1,1] [2,3,8,7,4,6,1,5]=>0011010=>[3,1,2,2] [8,3,5,7,4,1,2,6]=>1001100=>[1,3,1,3] [4,8,5,3,1,2,7,6]=>0111001=>[2,1,1,3,1] [6,8,7,3,1,5,4,2]=>0111011=>[2,1,1,2,1,1] [6,8,5,4,1,3,7,2]=>0111001=>[2,1,1,3,1] [2,5,8,7,4,6,3,1]=>0011011=>[3,1,2,1,1] [4,8,7,6,5,1,3,2]=>0111101=>[2,1,1,1,2,1] [3,8,7,5,1,6,2,4]=>0111010=>[2,1,1,2,2] [2,3,8,7,5,6,1,4]=>0011010=>[3,1,2,2] [2,8,7,1,3,6,4,5]=>0110010=>[2,1,3,2] [8,5,4,7,2,1,3,6]=>1101100=>[1,1,2,1,3] [6,8,7,3,5,2,1,4]=>0110110=>[2,1,2,1,2] [3,5,8,6,4,2,7,1]=>0011101=>[3,1,1,2,1] [6,8,4,1,5,2,7,3]=>0110101=>[2,1,2,2,1] [6,8,2,1,7,5,3,4]=>0110110=>[2,1,2,1,2] [5,8,4,6,1,2,7,3]=>0101001=>[2,2,3,1] [2,4,8,6,5,1,7,3]=>0011101=>[3,1,1,2,1] [4,8,7,6,5,2,1,3]=>0111110=>[2,1,1,1,1,2] [4,8,7,5,1,6,2,3]=>0111010=>[2,1,1,2,2] [4,5,2,1,8,6,7,3]=>0110101=>[2,1,2,2,1] [4,5,8,3,1,6,7,2]=>0011001=>[3,1,3,1] [5,7,2,8,4,6,1,3]=>0101010=>[2,2,2,2] [6,7,3,2,4,8,5,1]=>0110011=>[2,1,3,1,1] [7,2,8,6,4,5,1,3]=>1011010=>[1,2,1,2,2] [8,7,2,6,5,1,3,4]=>1101100=>[1,1,2,1,3] [5,2,7,8,4,1,3,6]=>1001100=>[1,3,1,3] [2,7,8,6,4,1,3,5]=>0011100=>[3,1,1,3] [7,6,3,5,2,8,4,1]=>1101011=>[1,1,2,2,1,1] [6,2,7,4,8,5,3,1]=>1010111=>[1,2,2,1,1,1] [8,6,5,1,7,2,4,3]=>1110101=>[1,1,1,2,2,1] [6,8,5,1,7,3,2,4]=>0110110=>[2,1,2,1,2] [1,6,8,3,7,4,2,5]=>0010110=>[3,2,1,2] [5,1,6,3,4,8,2,7]=>1010010=>[1,2,3,2] [3,5,2,6,4,8,1,7]=>0101010=>[2,2,2,2] [3,5,2,4,8,1,7,6]=>0100101=>[2,3,2,1] [6,3,8,2,4,1,7,5]=>1010101=>[1,2,2,2,1] [4,6,3,8,7,5,2,1]=>0101111=>[2,2,1,1,1,1] [6,3,8,7,5,4,2,1]=>1011111=>[1,2,1,1,1,1,1] [6,8,4,2,1,7,5,3]=>0111011=>[2,1,1,2,1,1] [5,2,6,4,3,8,1,7]=>1011010=>[1,2,1,2,2] [6,5,3,1,4,8,2,7]=>1110010=>[1,1,1,3,2] [3,1,7,8,6,4,2,5]=>1001110=>[1,3,1,1,2] [3,8,1,7,6,2,5,4]=>0101101=>[2,2,1,2,1] [8,1,7,6,4,2,5,3]=>1011101=>[1,2,1,1,2,1] [7,2,6,3,8,5,4,1]=>1010111=>[1,2,2,1,1,1] [7,3,8,6,4,1,5,2]=>1011101=>[1,2,1,1,2,1] [1,7,5,8,2,4,3,6]=>0101010=>[2,2,2,2] [6,1,5,2,4,8,3,7]=>1010010=>[1,2,3,2] [1,5,6,3,8,2,4,7]=>0010100=>[3,2,3] [8,7,1,3,6,5,2,4]=>1100110=>[1,1,3,1,2] [2,6,7,4,3,8,5,1]=>0011011=>[3,1,2,1,1] [5,2,4,7,3,8,6,1]=>1001011=>[1,3,2,1,1] [1,5,8,7,2,4,6,3]=>0011001=>[3,1,3,1] [1,4,8,7,3,6,5,2]=>0011011=>[3,1,2,1,1] [8,3,7,2,5,1,6,4]=>1010101=>[1,2,2,2,1] [3,7,2,8,1,5,4,6]=>0101010=>[2,2,2,2] [3,2,6,1,5,8,4,7]=>1010010=>[1,2,3,2] [7,2,1,5,8,4,3,6]=>1100110=>[1,1,3,1,2] [7,2,8,1,4,3,6,5]=>1010101=>[1,2,2,2,1] [1,7,8,3,2,6,5,4]=>0011011=>[3,1,2,1,1] [1,7,4,8,3,2,6,5]=>0101101=>[2,2,1,2,1] [1,7,5,4,8,3,2,6]=>0110110=>[2,1,2,1,2] [6,1,5,4,3,8,2,7]=>1011010=>[1,2,1,2,2] [1,7,4,5,6,8,2,3]=>0100010=>[2,4,2] [1,3,4,5,6,7,9,8,2]=>00000011=>[7,1,1] [2,3,4,5,6,7,9,8,1,10]=>000000110=>[7,1,2] [7,3,4,5,6,8,1,2,9]=>10000100=>[1,5,3] [2,3,4,5,7,6,8,1,9]=>00001010=>[5,2,2] [1,8,4,5,6,7,9,2,3]=>01000010=>[2,5,2] [1,3,4,5,6,8,7,9,2]=>00000101=>[6,2,1] [1,3,4,5,6,7,8,10,9,2]=>000000011=>[8,1,1] [1,6,4,2,3,5,7,8]=>0110000=>[2,1,5] [1,8,7,2,3,4,5,6]=>0110000=>[2,1,5] [1,5,8,6,2,3,4,7]=>0011000=>[3,1,4] [1,6,5,7,2,3,4,8]=>0101000=>[2,2,4] [1,7,5,6,2,3,4,8]=>0101000=>[2,2,4] [1,3,2,7,6,4,5,8]=>0101100=>[2,2,1,3] [1,2,3,7,6,4,5,8]=>0001100=>[4,1,3] [1,5,4,2,3,7,6,8]=>0110010=>[2,1,3,2] [1,5,4,2,3,8,6,7]=>0110010=>[2,1,3,2] [1,3,2,8,6,4,5,7]=>0101100=>[2,2,1,3] [1,7,5,8,2,3,4,6]=>0101000=>[2,2,4] [1,8,7,5,2,3,4,6]=>0111000=>[2,1,1,4] [2,1,5,8,6,3,7,4]=>1001101=>[1,3,1,2,1] [2,5,8,4,6,1,7,3]=>0010101=>[3,2,2,1] [2,5,3,8,6,1,7,4]=>0101101=>[2,2,1,2,1] [2,6,3,5,8,1,7,4]=>0100101=>[2,3,2,1] [6,3,2,5,8,1,7,4]=>1100101=>[1,1,3,2,1] [5,3,2,8,6,1,7,4]=>1101101=>[1,1,2,1,2,1] [5,8,4,6,1,3,7,2]=>0101001=>[2,2,3,1] [5,3,8,6,1,4,7,2]=>1011001=>[1,2,1,3,1] [2,6,5,4,8,1,7,3]=>0110101=>[2,1,2,2,1] [8,3,5,7,2,6,4,1]=>1001011=>[1,3,2,1,1] [2,4,6,8,5,3,7,1]=>0001101=>[4,1,2,1] [2,4,8,1,7,6,5,3]=>0010111=>[3,2,1,1,1] [4,3,8,1,5,7,6,2]=>1010011=>[1,2,3,1,1] [3,8,4,1,5,7,6,2]=>0110011=>[2,1,3,1,1] [4,3,6,8,5,2,7,1]=>1001101=>[1,3,1,2,1] [8,5,4,7,2,6,3,1]=>1101011=>[1,1,2,2,1,1] [3,6,8,5,4,2,7,1]=>0011101=>[3,1,1,2,1] [3,6,4,8,5,2,7,1]=>0101101=>[2,2,1,2,1] [3,6,4,1,8,2,7,5]=>0110101=>[2,1,2,2,1] [3,6,4,1,5,2,8,7]=>0110101=>[2,1,2,2,1] [4,8,6,5,1,3,7,2]=>0111001=>[2,1,1,3,1] [2,8,3,5,6,7,1,4]=>0100010=>[2,4,2] [5,6,2,4,7,1,8,3]=>0100101=>[2,3,2,1] [2,7,5,4,6,1,8,3]=>0110101=>[2,1,2,2,1] [2,3,7,4,6,1,8,5]=>0010101=>[3,2,2,1] [2,6,7,4,1,3,8,5]=>0011001=>[3,1,3,1] [6,5,7,4,1,3,8,2]=>1011001=>[1,2,1,3,1] [2,4,6,3,5,7,8,1]=>0010001=>[3,4,1] [4,1,6,3,5,7,8,2]=>1010001=>[1,2,4,1] [3,6,4,2,5,7,8,1]=>0110001=>[2,1,4,1] [2,3,6,1,5,7,8,4]=>0010001=>[3,4,1] [4,3,6,2,5,7,8,1]=>1010001=>[1,2,4,1] [4,6,1,2,5,7,8,3]=>0100001=>[2,5,1] [2,6,4,1,5,7,8,3]=>0110001=>[2,1,4,1] [2,4,1,6,5,7,8,3]=>0101001=>[2,2,3,1] [7,5,4,2,6,1,8,3]=>1110101=>[1,1,1,2,2,1] [4,7,3,1,8,6,5,2]=>0110111=>[2,1,2,1,1,1] [5,6,4,2,7,1,8,3]=>0110101=>[2,1,2,2,1] [4,2,7,5,3,1,8,6]=>1011101=>[1,2,1,1,2,1] [5,3,6,4,8,2,1,7]=>1010110=>[1,2,2,1,2] [7,3,2,5,4,1,8,6]=>1101101=>[1,1,2,1,2,1] [7,3,2,5,1,8,6,4]=>1101011=>[1,1,2,2,1,1] [4,6,3,8,7,2,1,5]=>0101110=>[2,2,1,1,2] [4,7,6,3,8,2,1,5]=>0110110=>[2,1,2,1,2] [4,7,3,8,6,2,1,5]=>0101110=>[2,2,1,1,2] [5,7,3,2,6,1,8,4]=>0110101=>[2,1,2,2,1] [5,7,3,2,6,4,1,8]=>0110110=>[2,1,2,1,2] [2,7,5,3,1,8,6,4]=>0111011=>[2,1,1,2,1,1] [7,5,2,8,4,3,1,6]=>1101110=>[1,1,2,1,1,2] [7,3,2,4,1,8,6,5]=>1101011=>[1,1,2,2,1,1] [8,4,3,2,7,5,1,6]=>1110110=>[1,1,1,2,1,2] [4,3,7,5,8,2,1,6]=>1010110=>[1,2,2,1,2] [8,4,5,3,7,2,1,6]=>1010110=>[1,2,2,1,2] [4,3,5,2,8,6,1,7]=>1010110=>[1,2,2,1,2] [4,5,3,6,8,2,1,7]=>0100110=>[2,3,1,2] [1,2,3,4,5,9,7,8,6]=>00000101=>[6,2,1] [1,2,3,4,9,6,7,8,5]=>00001001=>[5,3,1] [1,2,3,9,5,6,7,8,4]=>00010001=>[4,4,1] [1,2,9,4,5,6,7,8,3]=>00100001=>[3,5,1] [1,2,3,4,5,6,10,8,9,7]=>000000101=>[7,2,1] [1,2,3,4,9,7,6,8,5]=>00001101=>[5,1,2,1] [1,2,3,4,5,10,7,8,9,6]=>000001001=>[6,3,1] [1,2,8,6,4,5,7,3]=>0011001=>[3,1,3,1] [1,2,3,9,6,5,7,8,4]=>00011001=>[4,1,3,1] [1,2,3,4,10,6,7,8,9,5]=>000010001=>[5,4,1] [1,8,5,3,4,6,7,2]=>0110001=>[2,1,4,1] [1,2,9,5,4,6,7,8,3]=>00110001=>[3,1,4,1] [1,2,3,10,5,6,7,8,9,4]=>000100001=>[4,5,1] [1,9,4,3,5,6,7,8,2]=>01100001=>[2,1,5,1] [1,2,10,4,5,6,7,8,9,3]=>001000001=>[3,6,1] [9,3,2,4,5,6,7,8,1]=>11000001=>[1,1,6,1] [10,2,3,4,5,6,7,8,9,1]=>100000001=>[1,8,1] [3,5,6,7,8,9,4,2,1]=>00000111=>[6,1,1,1] [7,8,4,1,6,3,5,2]=>0110101=>[2,1,2,2,1] [8,7,5,6,1,3,4,2]=>1101001=>[1,1,2,3,1] [1,2,3,5,7,4,6,9,8]=>00001001=>[5,3,1] [1,2,3,6,4,7,5,9,8]=>00010101=>[4,2,2,1] [1,2,3,4,6,8,5,7,10,9]=>000001001=>[6,3,1] [1,2,3,4,6,8,5,7,9]=>00000100=>[6,3] [1,2,3,4,7,5,8,6,9]=>00001010=>[5,2,2] [1,2,3,4,7,5,8,6,10,9]=>000010101=>[5,2,2,1] [1,2,3,4,6,8,5,7,10,9,11]=>0000010010=>[6,3,2] [1,2,3,5,7,4,6,9,8,10]=>000010010=>[5,3,2] [1,2,5,7,3,4,6,9,8]=>00010001=>[4,4,1] [1,2,4,5,7,3,6,9,8]=>00001001=>[5,3,1] [1,2,6,3,4,7,5,9,8]=>00100101=>[3,3,2,1] [1,2,5,6,3,7,4,9,8]=>00010101=>[4,2,2,1] [1,2,3,6,4,7,5,9,8,10]=>000101010=>[4,2,2,2] [1,2,3,4,7,5,8,6,10,9,11]=>0000101010=>[5,2,2,2] [3,2,6,4,1,8,5,7]=>1011010=>[1,2,1,2,2] [2,8,6,5,3,1,4,7]=>0111100=>[2,1,1,1,3] [5,4,8,6,2,3,1,7]=>1011010=>[1,2,1,2,2] [4,8,7,5,2,3,1,6]=>0111010=>[2,1,1,2,2] [5,2,4,7,6,8,3,1]=>1001011=>[1,3,2,1,1] [3,4,2,8,7,5,1,6]=>0101110=>[2,2,1,1,2] [8,5,7,6,3,2,4,1]=>1011101=>[1,2,1,1,2,1] [6,4,1,8,7,3,2,5]=>1101110=>[1,1,2,1,1,2] [1,8,5,4,2,7,3,6]=>0111010=>[2,1,1,2,2] [3,6,5,8,2,7,4,1]=>0101011=>[2,2,2,1,1] [8,3,2,7,4,6,5,1]=>1101011=>[1,1,2,2,1,1] [7,5,8,4,1,3,6,2]=>1011001=>[1,2,1,3,1] [7,1,6,2,3,8,4,5]=>1010010=>[1,2,3,2] [6,4,7,1,3,2,8,5]=>1010101=>[1,2,2,2,1] [5,1,3,8,7,2,6,4]=>1001101=>[1,3,1,2,1] [8,7,1,6,2,5,3,4]=>1101010=>[1,1,2,2,2] [3,8,5,2,4,7,6,1]=>0110011=>[2,1,3,1,1] [7,1,5,2,4,8,3,6]=>1010010=>[1,2,3,2] [3,8,5,1,4,7,2,6]=>0110010=>[2,1,3,2] [7,2,5,4,1,3,8,6]=>1011001=>[1,2,1,3,1] [7,5,8,1,6,3,2,4]=>1010110=>[1,2,2,1,2] [7,1,4,8,5,6,2,3]=>1001010=>[1,3,2,2] [2,3,1,9,4,5,6,7,8]=>01010000=>[2,2,5] [4,9,1,2,3,5,6,7,8]=>01000000=>[2,7] [3,9,1,2,4,5,6,7,8]=>01000000=>[2,7] [1,8,2,3,4,5,6,7,9]=>01000000=>[2,7] [7,4,6,1,3,2,5,8]=>1010100=>[1,2,2,3] [1,4,5,8,6,3,2,7]=>0001110=>[4,1,1,2] [8,4,5,7,2,6,1,3]=>1001010=>[1,3,2,2] [4,5,2,6,7,3,1,8]=>0100110=>[2,3,1,2] [8,1,7,5,3,6,2,4]=>1011010=>[1,2,1,2,2] [5,2,8,3,6,1,4,7]=>1010100=>[1,2,2,3] [5,2,6,3,1,7,8,4]=>1011001=>[1,2,1,3,1] [4,3,5,1,6,7,8,2]=>1010001=>[1,2,4,1] [5,7,6,1,2,3,8,4]=>0110001=>[2,1,4,1] [3,6,7,5,1,2,8,4]=>0011001=>[3,1,3,1] [1,7,6,8,5,2,4,3]=>0101101=>[2,2,1,2,1] [5,7,6,8,1,2,4,3]=>0101001=>[2,2,3,1] [5,6,3,7,1,4,8,2]=>0101001=>[2,2,3,1] [5,3,2,1,8,6,4,7]=>1110110=>[1,1,1,2,1,2] [9,8,7,5,6,4,3,2,1]=>11101111=>[1,1,1,2,1,1,1,1] [2,1,9,8,6,7,5,4,3]=>10110111=>[1,2,1,2,1,1,1] [11,10,9,8,7,6,5,4,3,2,1]=>1111111111=>[1,1,1,1,1,1,1,1,1,1,1] [10,9,8,7,5,6,4,3,2,1]=>111101111=>[1,1,1,1,2,1,1,1,1] [9,8,7,5,4,6,3,2,1]=>11110111=>[1,1,1,1,2,1,1,1] [9,8,7,4,6,5,3,2,1]=>11101111=>[1,1,1,2,1,1,1,1] [2,1,9,8,6,5,7,4,3]=>10111011=>[1,2,1,1,2,1,1] [2,1,9,8,5,7,6,4,3]=>10110111=>[1,2,1,2,1,1,1] [2,1,10,9,8,6,7,5,4,3]=>101110111=>[1,2,1,1,2,1,1,1] [2,1,11,10,9,8,7,6,5,4,3]=>1011111111=>[1,2,1,1,1,1,1,1,1,1] [1,8,7,6,5,4,3,2,9]=>01111110=>[2,1,1,1,1,1,2] [1,9,8,7,6,5,4,3,2,10]=>011111110=>[2,1,1,1,1,1,1,2] [2,1,8,7,6,5,4,3,9]=>10111110=>[1,2,1,1,1,1,2] [2,8,9,7,6,5,4,3,1]=>00111111=>[3,1,1,1,1,1,1] [7,8,6,1,4,5,2,3]=>0110010=>[2,1,3,2] [1,8,5,4,6,7,2,3]=>0110010=>[2,1,3,2] [6,5,8,3,7,2,1,4]=>1010110=>[1,2,2,1,2] [7,8,5,3,6,2,1,4]=>0110110=>[2,1,2,1,2] [7,8,5,3,6,2,4,1]=>0110101=>[2,1,2,2,1] [7,8,4,3,2,6,5,1]=>0111011=>[2,1,1,2,1,1] [1,8,4,3,2,6,7,5]=>0111001=>[2,1,1,3,1] [5,4,3,8,2,1,7,6]=>1101101=>[1,1,2,1,2,1] [6,4,8,3,2,1,7,5]=>1011101=>[1,2,1,1,2,1] [1,8,4,3,2,7,6,5]=>0111011=>[2,1,1,2,1,1] [6,5,8,3,1,2,7,4]=>1011001=>[1,2,1,3,1] [1,8,6,7,3,2,4,5]=>0101100=>[2,2,1,3] [7,8,6,1,3,2,4,5]=>0110100=>[2,1,2,3] [1,8,4,3,2,7,5,6]=>0111010=>[2,1,1,2,2] [5,4,3,8,2,1,6,7]=>1101100=>[1,1,2,1,3] [1,8,4,3,2,5,7,6]=>0111001=>[2,1,1,3,1] [5,4,3,8,2,6,7,1]=>1101001=>[1,1,2,3,1] [4,5,6,7,8,1,2,9,3]=>00001001=>[5,3,1] [4,5,6,7,1,2,8,9,3]=>00010001=>[4,4,1] [4,5,6,1,2,7,8,9,3]=>00100001=>[3,5,1] [4,5,1,2,6,7,8,9,3]=>01000001=>[2,6,1] [6,4,2,3,5,1,8,7]=>1100101=>[1,1,3,2,1] [5,2,3,6,1,4,8,7]=>1001001=>[1,3,3,1] [5,2,3,8,6,4,7,1]=>1001101=>[1,3,1,2,1] [5,2,3,7,4,8,1,6]=>1001010=>[1,3,2,2] [8,6,3,2,5,4,7,1]=>1110101=>[1,1,1,2,2,1] [7,2,3,4,5,8,1,6]=>1000010=>[1,5,2] [7,2,8,1,5,3,4,6]=>1010100=>[1,2,2,3] [3,8,6,4,7,2,5,1]=>0110101=>[2,1,2,2,1] [2,1,8,6,4,5,7,3]=>1011001=>[1,2,1,3,1] [4,8,2,5,7,3,1,6]=>0100110=>[2,3,1,2] [5,8,2,3,4,7,1,6]=>0100010=>[2,4,2] [6,3,4,7,8,2,1,5]=>1000110=>[1,4,1,2] [3,8,5,1,4,7,6,2]=>0110011=>[2,1,3,1,1] [4,8,5,1,3,6,7,2]=>0110001=>[2,1,4,1] [4,6,8,5,2,7,3,1]=>0011011=>[3,1,2,1,1] [3,7,8,5,2,6,4,1]=>0011011=>[3,1,2,1,1] [3,8,6,2,7,4,5,1]=>0110101=>[2,1,2,2,1] [8,5,4,7,1,3,6,2]=>1101001=>[1,1,2,3,1] [7,3,6,2,8,1,5,4]=>1010101=>[1,2,2,2,1] [8,1,5,2,3,7,6,4]=>1010011=>[1,2,3,1,1] [6,4,2,3,7,8,5,1]=>1100011=>[1,1,4,1,1] [8,4,2,3,6,7,1,5]=>1100010=>[1,1,4,2] [4,5,8,3,7,2,1,6]=>0010110=>[3,2,1,2] [3,7,2,8,4,5,1,6]=>0101010=>[2,2,2,2] [3,5,1,8,4,6,2,7]=>0101010=>[2,2,2,2] [4,2,1,5,6,8,3,7]=>1100010=>[1,1,4,2] [4,1,2,6,5,8,3,7]=>1001010=>[1,3,2,2] [4,1,8,3,2,6,7,5]=>1011001=>[1,2,1,3,1] [4,2,7,5,8,1,3,6]=>1010100=>[1,2,2,3] [4,6,2,7,8,3,1,5]=>0100110=>[2,3,1,2] [4,6,1,3,8,2,5,7]=>0100100=>[2,3,3] [4,3,6,2,1,8,7,5]=>1011011=>[1,2,1,2,1,1] [3,7,4,5,1,6,2,8]=>0101010=>[2,2,2,2] [3,6,4,5,8,2,1,7]=>0100110=>[2,3,1,2] [6,1,4,5,2,8,7,3]=>1001011=>[1,3,2,1,1] [7,2,4,5,1,6,3,8]=>1001010=>[1,3,2,2] [7,5,4,1,6,3,2,8]=>1110110=>[1,1,1,2,1,2] [1,5,4,8,6,3,2,7]=>0101110=>[2,2,1,1,2] [7,5,4,8,6,3,1,2]=>1101110=>[1,1,2,1,1,2] [1,8,7,5,3,6,4,2]=>0111011=>[2,1,1,2,1,1] [8,3,7,4,1,6,2,5]=>1011010=>[1,2,1,2,2] [8,5,4,1,6,3,2,7]=>1110110=>[1,1,1,2,1,2] [1,7,4,2,6,5,3,8]=>0110110=>[2,1,2,1,2] [8,2,1,5,6,7,3,4]=>1100010=>[1,1,4,2] [6,3,1,8,4,7,2,5]=>1101010=>[1,1,2,2,2] [7,1,4,8,6,3,2,5]=>1001110=>[1,3,1,1,2] [4,1,8,5,6,7,2,3]=>1010010=>[1,2,3,2] [5,7,4,8,6,2,1,3]=>0101110=>[2,2,1,1,2] [5,3,6,8,2,7,1,4]=>1001010=>[1,3,2,2] [6,3,7,4,8,2,1,5]=>1010110=>[1,2,2,1,2] [5,3,6,1,4,7,2,8]=>1010010=>[1,2,3,2] [4,3,6,8,2,7,1,5]=>1001010=>[1,3,2,2] [5,3,7,4,8,2,1,6]=>1010110=>[1,2,2,1,2] [5,3,8,4,1,6,2,7]=>1011010=>[1,2,1,2,2] [5,3,8,1,4,7,2,6]=>1010010=>[1,2,3,2] [5,8,4,1,6,3,2,7]=>0110110=>[2,1,2,1,2] [7,3,8,4,1,6,2,5]=>1011010=>[1,2,1,2,2] [1,5,8,3,6,7,4,2]=>0010011=>[3,3,1,1] [1,8,2,5,6,7,3,4]=>0100010=>[2,4,2] [7,8,4,1,6,5,2,3]=>0110110=>[2,1,2,1,2] [6,3,8,1,5,7,2,4]=>1010010=>[1,2,3,2] [8,3,1,2,5,7,4,6]=>1100010=>[1,1,4,2] [8,1,4,2,6,5,3,7]=>1010110=>[1,2,2,1,2] [7,8,1,2,3,4,5,9,6]=>01000001=>[2,6,1] [2,8,9,1,3,4,5,6,7]=>00100000=>[3,6] [2,8,9,10,1,3,4,5,6,7]=>000100000=>[4,6] [7,1,8,2,9,3,4,5,6]=>10101000=>[1,2,2,4] [6,1,7,2,8,3,9,4,5]=>10101010=>[1,2,2,2,2] [5,1,6,2,7,3,8,4,9]=>10101010=>[1,2,2,2,2] [8,1,9,2,10,3,4,5,6,7]=>101010000=>[1,2,2,5] [7,1,8,2,3,9,4,5,6]=>10100100=>[1,2,3,3] [7,1,8,2,9,3,10,4,5,6]=>101010100=>[1,2,2,2,3] [6,1,7,2,8,3,4,9,5]=>10101001=>[1,2,2,3,1] [5,1,6,2,7,3,9,4,8]=>10101010=>[1,2,2,2,2] [5,1,6,2,7,3,8,4,10,9]=>101010101=>[1,2,2,2,2,1] [4,1,5,2,7,3,8,6,9]=>10101010=>[1,2,2,2,2] [4,1,5,2,6,3,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [5,1,3,7,4,8,2,6]=>1001010=>[1,3,2,2] [5,1,3,4,7,8,2,6]=>1000010=>[1,5,2] [2,5,8,7,4,3,6,1]=>0011101=>[3,1,1,2,1] [5,1,7,8,3,4,2,6]=>1001010=>[1,3,2,2] [2,5,4,8,3,7,6,1]=>0101011=>[2,2,2,1,1] [5,6,8,2,3,4,1,7]=>0010010=>[3,3,2] [2,3,5,7,4,6,8,1]=>0001001=>[4,3,1] [3,7,4,5,8,1,2,6]=>0100100=>[2,3,3] [3,7,8,1,4,5,2,6]=>0010010=>[3,3,2] [5,8,2,1,6,3,4,7]=>0110100=>[2,1,2,3] [4,8,1,3,7,5,2,6]=>0100110=>[2,3,1,2] [2,4,7,8,5,3,6,1]=>0001101=>[4,1,2,1] [5,3,1,4,7,2,8,6]=>1100101=>[1,1,3,2,1] [4,3,8,5,1,2,7,6]=>1011001=>[1,2,1,3,1] [2,4,7,5,8,3,6,1]=>0010101=>[3,2,2,1] [4,3,5,8,2,1,7,6]=>1001101=>[1,3,1,2,1] [4,8,5,7,3,1,2,6]=>0101100=>[2,2,1,3] [4,8,7,5,1,3,2,6]=>0111010=>[2,1,1,2,2] [4,2,8,5,1,3,6,7]=>1011000=>[1,2,1,4] [3,7,8,4,1,5,2,6]=>0011010=>[3,1,2,2] [3,4,7,5,8,2,1,6]=>0010110=>[3,2,1,2] [1,8,5,7,2,4,3,6]=>0101010=>[2,2,2,2] [1,8,5,4,2,3,6,7]=>0111000=>[2,1,1,4] [1,3,6,8,5,4,2,7]=>0001110=>[4,1,1,2] [1,6,3,8,2,7,4,5]=>0101010=>[2,2,2,2] [1,8,2,3,6,7,5,4]=>0100011=>[2,4,1,1] [1,3,6,8,2,7,5,4]=>0001011=>[4,2,1,1] [1,6,5,4,3,8,2,7]=>0111010=>[2,1,1,2,2] [1,8,3,4,5,6,2,7]=>0100010=>[2,4,2] [1,8,3,6,2,4,5,7]=>0101000=>[2,2,4] [1,4,5,8,3,6,2,7]=>0001010=>[4,2,2] [1,2,7,8,4,5,3,6]=>0001010=>[4,2,2] [7,2,8,5,6,3,4,1]=>1010101=>[1,2,2,2,1] [7,6,3,8,5,4,2,1]=>1101111=>[1,1,2,1,1,1,1] [6,2,8,7,5,4,1,3]=>1011110=>[1,2,1,1,1,2] [6,2,8,4,3,7,1,5]=>1011010=>[1,2,1,2,2] [5,2,8,4,3,1,7,6]=>1011101=>[1,2,1,1,2,1] [1,5,7,3,6,2,8,4]=>0010101=>[3,2,2,1] [1,2,5,4,8,3,7,6]=>0010101=>[3,2,2,1] [1,4,3,6,8,7,2,5]=>0100110=>[2,3,1,2] [3,2,5,7,6,8,1,4]=>1001010=>[1,3,2,2] [5,3,2,6,8,4,7,1]=>1100101=>[1,1,3,2,1] [3,1,8,6,4,7,2,5]=>1011010=>[1,2,1,2,2] [3,1,6,8,5,4,2,7]=>1001110=>[1,3,1,1,2] [5,3,2,8,7,6,4,1]=>1101111=>[1,1,2,1,1,1,1] [5,3,8,2,7,6,1,4]=>1010110=>[1,2,2,1,2] [6,5,4,8,3,7,2,1]=>1101011=>[1,1,2,2,1,1] [4,8,5,1,3,7,2,6]=>0110010=>[2,1,3,2] [4,3,8,7,2,6,5,1]=>1011011=>[1,2,1,2,1,1] [2,7,5,1,8,4,6,3]=>0110101=>[2,1,2,2,1] [7,8,5,2,1,6,4,3]=>0111011=>[2,1,1,2,1,1] [7,6,4,8,1,2,5,3]=>1101001=>[1,1,2,3,1] [7,5,4,8,3,2,6,1]=>1101101=>[1,1,2,1,2,1] [8,6,4,7,3,2,1,5]=>1101110=>[1,1,2,1,1,2] [3,8,5,6,2,7,1,4]=>0101010=>[2,2,2,2] [2,4,5,8,7,3,1,6]=>0001110=>[4,1,1,2] [2,4,5,8,6,7,1,3]=>0001010=>[4,2,2] [4,3,1,5,6,2,8,7]=>1100101=>[1,1,3,2,1] [4,1,5,8,6,7,2,3]=>1001010=>[1,3,2,2] [4,3,7,6,1,2,8,5]=>1011001=>[1,2,1,3,1] [4,7,5,6,1,2,8,3]=>0101001=>[2,2,3,1] [4,3,7,5,6,2,8,1]=>1010101=>[1,2,2,2,1] [4,5,1,8,6,7,3,2]=>0101011=>[2,2,2,1,1] [3,4,5,8,6,7,2,1]=>0001011=>[4,2,1,1] [2,1,5,8,6,7,4,3]=>1001011=>[1,3,2,1,1] [3,4,5,8,7,1,2,6]=>0001100=>[4,1,3] [4,7,1,5,6,2,8,3]=>0100101=>[2,3,2,1] [2,6,4,7,1,3,8,5]=>0101001=>[2,2,3,1] [5,3,8,6,4,7,2,1]=>1011011=>[1,2,1,2,1,1] [6,4,1,5,7,8,3,2]=>1100011=>[1,1,4,1,1] [3,6,4,7,2,1,8,5]=>0101101=>[2,2,1,2,1] [3,8,4,6,1,7,2,5]=>0101010=>[2,2,2,2] [3,8,5,6,4,7,2,1]=>0101011=>[2,2,2,1,1] [3,8,4,5,6,7,2,1]=>0100011=>[2,4,1,1] [3,8,6,5,2,7,4,1]=>0111011=>[2,1,1,2,1,1] [3,8,7,5,2,1,4,6]=>0111100=>[2,1,1,1,3] [3,8,6,5,1,7,2,4]=>0111010=>[2,1,1,2,2] [6,4,1,7,3,2,8,5]=>1101101=>[1,1,2,1,2,1] [5,1,4,6,7,2,8,3]=>1000101=>[1,4,2,1] [6,5,4,7,1,3,8,2]=>1101001=>[1,1,2,3,1] [2,1,6,5,3,7,8,4]=>1011001=>[1,2,1,3,1] [6,1,4,7,2,3,8,5]=>1001001=>[1,3,3,1] [2,1,3,4,5,6,8,9,7]=>10000001=>[1,7,1] [2,1,3,4,5,6,7,9,8]=>10000001=>[1,7,1] [1,2,3,4,5,6,7,8,10,11,9]=>0000000001=>[10,1] [2,1,3,4,5,6,7,9,10,8]=>100000001=>[1,8,1] [2,3,1,4,5,6,8,9,7]=>01000001=>[2,6,1] [1,3,2,4,5,6,8,9,7]=>01000001=>[2,6,1] [2,3,1,4,5,6,7,9,8]=>01000001=>[2,6,1] [1,3,2,4,5,6,7,9,8]=>01000001=>[2,6,1] [2,1,3,4,5,6,7,8,10,9]=>100000001=>[1,8,1] [1,6,2,5,4,8,3,7]=>0101010=>[2,2,2,2] [4,1,2,7,5,8,3,6]=>1001010=>[1,3,2,2] [6,1,3,5,8,2,4,7]=>1000100=>[1,4,3] [5,6,4,3,1,8,2,7]=>0111010=>[2,1,1,2,2] [6,2,3,5,8,1,4,7]=>1000100=>[1,4,3] [6,7,2,3,8,4,5,1]=>0100101=>[2,3,2,1] [6,7,2,1,3,8,4,5]=>0110010=>[2,1,3,2] [5,7,4,1,8,3,2,6]=>0110110=>[2,1,2,1,2] [4,1,7,5,8,3,6,2]=>1010101=>[1,2,2,2,1] [6,7,1,3,8,4,5,2]=>0100101=>[2,3,2,1] [1,6,7,4,3,8,5,2]=>0011011=>[3,1,2,1,1] [6,1,7,4,2,8,5,3]=>1011011=>[1,2,1,2,1,1] [2,1,6,7,4,3,8,5]=>1001101=>[1,3,1,2,1] [6,7,3,2,1,8,4,5]=>0111010=>[2,1,1,2,2] [2,5,7,3,1,4,8,6]=>0011001=>[3,1,3,1] [6,7,3,2,8,4,5,1]=>0110101=>[2,1,2,2,1] [1,2,6,7,4,3,8,5]=>0001101=>[4,1,2,1] [2,7,1,8,4,6,3,5]=>0101010=>[2,2,2,2] [2,7,5,8,1,6,3,4]=>0101010=>[2,2,2,2] [6,7,1,8,4,5,3,2]=>0101011=>[2,2,2,1,1] [8,3,7,6,1,2,5,4]=>1011001=>[1,2,1,3,1] [8,7,3,4,6,2,5,1]=>1100101=>[1,1,3,2,1] [8,2,5,7,1,4,6,3]=>1001001=>[1,3,3,1] [8,2,4,7,1,5,6,3]=>1001001=>[1,3,3,1] [8,2,3,4,7,1,5,6]=>1000100=>[1,4,3] [8,7,3,5,6,2,4,1]=>1100101=>[1,1,3,2,1] [8,7,4,6,5,2,3,1]=>1101101=>[1,1,2,1,2,1] [8,4,6,7,5,1,2,3]=>1001100=>[1,3,1,3] [8,4,6,7,5,1,3,2]=>1001101=>[1,3,1,2,1] [8,3,5,7,6,1,4,2]=>1001101=>[1,3,1,2,1] [8,7,3,6,2,1,5,4]=>1101101=>[1,1,2,1,2,1] [8,7,3,4,6,2,1,5]=>1100110=>[1,1,3,1,2] [8,7,4,6,5,2,1,3]=>1101110=>[1,1,2,1,1,2] [8,6,5,2,7,4,3,1]=>1110111=>[1,1,1,2,1,1,1] [8,4,3,7,6,5,1,2]=>1101110=>[1,1,2,1,1,2] [8,5,6,7,4,1,3,2]=>1001101=>[1,3,1,2,1] [8,5,7,6,4,1,2,3]=>1011100=>[1,2,1,1,3] [8,4,2,7,5,1,6,3]=>1101101=>[1,1,2,1,2,1] [8,3,4,2,7,5,6,1]=>1010101=>[1,2,2,2,1] [8,4,7,6,5,1,2,3]=>1011100=>[1,2,1,1,3] [8,3,5,2,7,4,6,1]=>1010101=>[1,2,2,2,1] [8,5,2,6,7,4,1,3]=>1100110=>[1,1,3,1,2] [8,5,3,7,6,4,1,2]=>1101110=>[1,1,2,1,1,2] [8,6,2,5,7,3,1,4]=>1100110=>[1,1,3,1,2] [8,6,2,4,7,3,1,5]=>1100110=>[1,1,3,1,2] [8,5,2,3,7,4,1,6]=>1100110=>[1,1,3,1,2] [8,5,3,2,7,6,4,1]=>1110111=>[1,1,1,2,1,1,1] [8,6,1,5,4,3,2,7]=>1101110=>[1,1,2,1,1,2] [2,4,5,8,3,1,6,7]=>0001100=>[4,1,3] [2,7,4,6,1,5,8,3]=>0101001=>[2,2,3,1] [2,4,3,8,5,1,6,7]=>0101100=>[2,2,1,3] [7,8,3,2,5,4,6,1]=>0110101=>[2,1,2,2,1] [1,5,6,7,3,8,2,4]=>0001010=>[4,2,2] [1,6,5,4,8,3,2,7]=>0110110=>[2,1,2,1,2] [1,7,3,5,8,4,6,2]=>0100101=>[2,3,2,1] [7,2,1,6,4,8,5,3]=>1101011=>[1,1,2,2,1,1] [7,5,8,3,2,4,6,1]=>1011001=>[1,2,1,3,1] [3,8,7,2,4,6,5,1]=>0110011=>[2,1,3,1,1] [1,3,7,6,4,8,5,2]=>0011011=>[3,1,2,1,1] [3,1,8,7,6,4,2,5]=>1011110=>[1,2,1,1,1,2] [3,1,8,7,5,4,2,6]=>1011110=>[1,2,1,1,1,2] [3,1,7,6,5,4,2,8]=>1011110=>[1,2,1,1,1,2] [4,7,1,6,5,3,2,8]=>0101110=>[2,2,1,1,2] [4,8,1,6,5,3,2,7]=>0101110=>[2,2,1,1,2] [8,4,1,7,6,3,2,5]=>1101110=>[1,1,2,1,1,2] [5,4,1,8,6,3,2,7]=>1101110=>[1,1,2,1,1,2] [5,4,1,7,6,3,2,8]=>1101110=>[1,1,2,1,1,2] [6,4,1,8,5,3,2,7]=>1101110=>[1,1,2,1,1,2] [8,4,1,7,5,3,2,6]=>1101110=>[1,1,2,1,1,2] [7,4,1,6,5,3,2,8]=>1101110=>[1,1,2,1,1,2] [7,5,6,1,4,3,2,8]=>1010110=>[1,2,2,1,2] [8,5,6,1,4,3,2,7]=>1010110=>[1,2,2,1,2] [8,5,7,1,4,3,2,6]=>1010110=>[1,2,2,1,2] [5,7,6,1,4,3,2,8]=>0110110=>[2,1,2,1,2] [5,8,6,1,4,3,2,7]=>0110110=>[2,1,2,1,2] [6,7,5,1,4,3,2,8]=>0110110=>[2,1,2,1,2] [8,7,5,1,4,3,2,6]=>1110110=>[1,1,1,2,1,2] [8,6,5,1,4,3,2,7]=>1110110=>[1,1,1,2,1,2] [8,6,1,7,2,5,3,4]=>1101010=>[1,1,2,2,2] [1,8,6,3,4,2,5,7]=>0110100=>[2,1,2,3] [3,1,6,4,5,2,7,8]=>1010100=>[1,2,2,3] [3,1,6,4,5,8,2,7]=>1010010=>[1,2,3,2] [3,1,6,4,5,7,2,8]=>1010010=>[1,2,3,2] [7,6,3,8,4,5,2,1]=>1101011=>[1,1,2,2,1,1] [8,2,7,6,1,4,3,5]=>1011010=>[1,2,1,2,2] [5,2,7,8,1,4,3,6]=>1001010=>[1,3,2,2] [5,6,3,8,4,1,2,7]=>0101100=>[2,2,1,3] [8,2,7,6,1,4,5,3]=>1011001=>[1,2,1,3,1] [5,2,3,4,7,1,6,8]=>1000100=>[1,4,3] [5,2,3,7,1,6,8,4]=>1001001=>[1,3,3,1] [8,7,5,3,1,6,4,2]=>1111011=>[1,1,1,1,2,1,1] [1,4,7,8,5,2,3,6]=>0001100=>[4,1,3] [5,8,3,7,6,4,1,2]=>0101110=>[2,2,1,1,2] [6,5,1,7,2,4,8,3]=>1101001=>[1,1,2,3,1] [3,6,7,1,4,2,5,8]=>0010100=>[3,2,3] [4,7,5,8,2,1,3,6]=>0101100=>[2,2,1,3] [8,1,2,7,5,4,3,6]=>1001110=>[1,3,1,1,2] [6,5,1,8,3,7,2,4]=>1101010=>[1,1,2,2,2] [1,8,7,5,3,2,6,4]=>0111101=>[2,1,1,1,2,1] [7,8,1,5,4,2,3,6]=>0101100=>[2,2,1,3] [2,7,5,1,4,6,3,8]=>0110010=>[2,1,3,2] [3,4,6,8,1,5,7,2]=>0001001=>[4,3,1] [6,8,1,7,5,4,2,3]=>0101110=>[2,2,1,1,2] [7,6,3,1,2,8,5,4]=>1110011=>[1,1,1,3,1,1] [5,2,6,7,4,8,1,3]=>1001010=>[1,3,2,2] [1,7,5,2,6,4,8,3]=>0110101=>[2,1,2,2,1] [7,1,3,6,8,2,4,5]=>1000100=>[1,4,3] [1,2,5,7,8,4,6,3]=>0000101=>[5,2,1] [3,1,2,7,5,4,8,6]=>1001101=>[1,3,1,2,1] [6,7,4,1,3,2,8,5]=>0110101=>[2,1,2,2,1] [1,7,2,8,4,3,5,6]=>0101100=>[2,2,1,3] [1,6,3,5,7,8,2,4]=>0100010=>[2,4,2] [8,6,1,7,5,2,4,3]=>1101101=>[1,1,2,1,2,1] [7,6,4,1,8,3,2,5]=>1110110=>[1,1,1,2,1,2] [8,4,1,6,5,2,7,3]=>1101101=>[1,1,2,1,2,1] [1,5,3,4,7,8,2,6]=>0100010=>[2,4,2] [4,2,1,5,7,8,3,6]=>1100010=>[1,1,4,2] [5,4,1,6,7,8,2,3]=>1100010=>[1,1,4,2] [5,1,4,6,7,8,2,3]=>1000010=>[1,5,2] [4,1,5,3,7,8,2,6]=>1010010=>[1,2,3,2] [8,1,4,6,5,2,7,3]=>1001101=>[1,3,1,2,1] [7,1,5,4,6,3,2,8]=>1010110=>[1,2,2,1,2] [8,2,1,6,7,5,4,3]=>1100111=>[1,1,3,1,1,1] [1,2,4,7,6,3,8,5]=>0001101=>[4,1,2,1] [6,7,4,1,8,5,2,3]=>0110110=>[2,1,2,1,2] [8,6,4,1,5,7,3,2]=>1110011=>[1,1,1,3,1,1] [5,2,4,3,7,1,6,8]=>1010100=>[1,2,2,3] [6,1,5,4,8,3,2,7]=>1010110=>[1,2,2,1,2] [1,2,8,7,4,3,6,5]=>0011101=>[3,1,1,2,1] [3,2,1,7,5,8,4,6]=>1101010=>[1,1,2,2,2] [1,3,6,4,7,8,2,5]=>0010010=>[3,3,2] [4,5,1,3,7,8,2,6]=>0100010=>[2,4,2] [5,2,3,1,7,8,4,6]=>1010010=>[1,2,3,2] [1,6,4,3,7,8,2,5]=>0110010=>[2,1,3,2] [7,6,4,3,1,5,2,8]=>1111010=>[1,1,1,1,2,2] [7,5,4,6,1,3,2,8]=>1101010=>[1,1,2,2,2] [8,4,6,5,1,2,7,3]=>1011001=>[1,2,1,3,1] [1,5,6,3,7,8,2,4]=>0010010=>[3,3,2] [7,1,2,3,4,5,8,9,10,6]=>100000001=>[1,8,1] [6,7,1,2,3,4,8,9,5]=>01000001=>[2,6,1] [6,1,2,3,4,7,8,9,10,5]=>100000001=>[1,8,1] [5,1,2,3,6,7,8,9,10,4]=>100000001=>[1,8,1] [6,8,3,5,7,2,4,1]=>0100101=>[2,3,2,1] [1,5,2,4,3,8,7,6]=>0101011=>[2,2,2,1,1] [8,6,5,7,2,1,4,3]=>1101101=>[1,1,2,1,2,1] [1,6,3,8,4,5,7,2]=>0101001=>[2,2,3,1] [7,5,4,2,6,3,8,1]=>1110101=>[1,1,1,2,2,1] [7,8,6,5,4,3,2,9,1]=>01111101=>[2,1,1,1,1,2,1] [9,7,6,5,4,3,1,2,8]=>11111100=>[1,1,1,1,1,1,3] [2,4,3,5,6,7,8,9,1]=>01000001=>[2,6,1] [2,3,8,4,7,5,6,1]=>0010101=>[3,2,2,1] [3,7,2,8,6,4,5,1]=>0101101=>[2,2,1,2,1] [6,3,7,5,8,2,4,1]=>1010101=>[1,2,2,2,1] [4,3,7,8,6,2,5,1]=>1001101=>[1,3,1,2,1] [3,8,1,7,5,2,4,6]=>0101100=>[2,2,1,3] [2,4,7,8,6,1,5,3]=>0001101=>[4,1,2,1] [2,4,8,5,1,7,3,6]=>0011010=>[3,1,2,2] [2,8,3,5,1,6,4,7]=>0101010=>[2,2,2,2] [8,2,4,6,3,7,5,1]=>1001011=>[1,3,2,1,1] [4,5,3,8,2,1,7,6]=>0101101=>[2,2,1,2,1] [4,8,3,2,5,1,6,7]=>0110100=>[2,1,2,3] [5,2,7,1,3,8,6,4]=>1010011=>[1,2,3,1,1] [4,5,6,7,8,9,2,1,3]=>00000110=>[6,1,2] [5,6,7,8,9,2,1,3,4]=>00001100=>[5,1,3] [6,7,8,9,2,1,3,4,5]=>00011000=>[4,1,4] [7,8,9,2,1,3,4,5,6]=>00110000=>[3,1,5] [8,9,2,1,3,4,5,6,7]=>01100000=>[2,1,6] [1,4,6,2,7,5,3,8]=>0010110=>[3,2,1,2] [8,2,7,5,1,4,6,3]=>1011001=>[1,2,1,3,1] [1,7,4,6,8,3,5,2]=>0100101=>[2,3,2,1] [8,2,1,4,5,6,7,3]=>1100001=>[1,1,5,1] [7,3,1,2,5,6,4,8]=>1100010=>[1,1,4,2] [7,2,4,1,5,8,6,3]=>1010011=>[1,2,3,1,1] [7,8,2,1,5,4,6,3]=>0110101=>[2,1,2,2,1] [1,4,2,8,6,5,3,7]=>0101110=>[2,2,1,1,2] [1,4,8,5,2,6,3,7]=>0011010=>[3,1,2,2] [1,5,2,4,6,3,8,7]=>0100101=>[2,3,2,1] [1,8,5,3,2,6,4,7]=>0111010=>[2,1,1,2,2] [6,4,1,3,2,5,8,7]=>1101001=>[1,1,2,3,1] [5,2,3,7,8,1,6,4]=>1000101=>[1,4,2,1] [5,2,8,6,3,1,7,4]=>1011101=>[1,2,1,1,2,1] [6,2,3,5,1,8,7,4]=>1001011=>[1,3,2,1,1] [7,6,3,4,2,8,1,5]=>1101010=>[1,1,2,2,2] [6,2,4,5,7,8,1,3]=>1000010=>[1,5,2] [8,6,3,2,5,7,1,4]=>1110010=>[1,1,1,3,2] [6,2,5,3,7,1,8,4]=>1010101=>[1,2,2,2,1] [8,5,3,6,7,2,1,4]=>1100110=>[1,1,3,1,2] [4,5,7,8,6,2,1,3]=>0001110=>[4,1,1,2] [1,2,8,4,3,6,7,5]=>0011001=>[3,1,3,1] [1,8,3,2,4,6,7,5]=>0110001=>[2,1,4,1] [1,2,7,5,3,4,6,8]=>0011000=>[3,1,4] [1,2,7,4,5,3,8,6]=>0010101=>[3,2,2,1] [1,7,3,2,6,8,4,5]=>0110010=>[2,1,3,2] [8,2,7,1,4,3,5,6]=>1010100=>[1,2,2,3] [7,2,1,3,6,8,4,5]=>1100010=>[1,1,4,2] [6,2,1,7,8,3,4,5]=>1100100=>[1,1,3,3] [3,5,8,6,1,4,2,7]=>0011010=>[3,1,2,2] [1,8,4,2,7,6,3,5]=>0110110=>[2,1,2,1,2] [8,7,2,6,5,4,3,1]=>1101111=>[1,1,2,1,1,1,1] [7,3,8,1,6,5,4,2]=>1010111=>[1,2,2,1,1,1] [7,3,8,2,6,5,4,1]=>1010111=>[1,2,2,1,1,1] [7,1,3,8,6,5,4,2]=>1001111=>[1,3,1,1,1,1] [8,1,3,7,6,5,4,2]=>1001111=>[1,3,1,1,1,1] [2,4,1,8,7,3,6,5]=>0101101=>[2,2,1,2,1] [7,3,8,6,1,5,4,2]=>1011011=>[1,2,1,2,1,1] [3,5,1,7,8,2,6,4]=>0100101=>[2,3,2,1] [5,4,7,8,2,1,6,3]=>1001101=>[1,3,1,2,1] [5,3,6,1,8,4,2,7]=>1010110=>[1,2,2,1,2] [6,3,8,7,1,5,4,2]=>1011011=>[1,2,1,2,1,1] [8,6,4,7,1,5,3,2]=>1101011=>[1,1,2,2,1,1] [3,4,6,2,1,8,5,7]=>0011010=>[3,1,2,2] [4,5,7,2,1,6,3,8]=>0011010=>[3,1,2,2] [5,6,4,8,3,2,1,7]=>0101110=>[2,2,1,1,2] [5,7,4,8,2,1,6,3]=>0101101=>[2,2,1,2,1] [4,7,5,8,2,1,6,3]=>0101101=>[2,2,1,2,1] [5,7,4,2,6,3,8,1]=>0110101=>[2,1,2,2,1] [5,7,4,1,6,2,8,3]=>0110101=>[2,1,2,2,1] [6,8,7,3,1,4,2,5]=>0111010=>[2,1,1,2,2] [8,5,6,1,7,3,2,4]=>1010110=>[1,2,2,1,2] [4,5,1,6,7,8,3,2]=>0100011=>[2,4,1,1] [4,5,2,6,1,3,8,7]=>0101001=>[2,2,3,1] [8,4,6,7,2,5,1,3]=>1001010=>[1,3,2,2] [3,4,6,7,2,5,8,1]=>0001001=>[4,3,1] [7,1,4,6,8,3,5,2]=>1000101=>[1,4,2,1] [6,7,1,2,4,8,5,3]=>0100011=>[2,4,1,1] [1,6,3,4,7,8,5,2]=>0100011=>[2,4,1,1] [2,3,6,4,7,5,8,1]=>0010101=>[3,2,2,1] [7,8,1,3,4,5,6,2]=>0100001=>[2,5,1] [1,8,2,6,7,3,4,5]=>0100100=>[2,3,3] [4,7,3,2,8,1,5,6]=>0110100=>[2,1,2,3] [7,1,2,6,3,8,5,4]=>1001011=>[1,3,2,1,1] [8,1,2,6,3,7,5,4]=>1001011=>[1,3,2,1,1] [8,1,2,7,6,3,5,4]=>1001101=>[1,3,1,2,1] [4,8,7,3,1,6,2,5]=>0111010=>[2,1,1,2,2] [4,7,8,3,1,6,2,5]=>0011010=>[3,1,2,2] [7,4,3,1,6,2,8,5]=>1110101=>[1,1,1,2,2,1] [7,4,3,1,8,6,2,5]=>1110110=>[1,1,1,2,1,2] [3,7,6,2,4,8,1,5]=>0110010=>[2,1,3,2] [4,3,7,2,8,6,1,5]=>1010110=>[1,2,2,1,2] [6,1,2,7,4,3,8,5]=>1001101=>[1,3,1,2,1] [5,1,2,6,3,8,7,4]=>1001011=>[1,3,2,1,1] [5,1,2,7,3,8,6,4]=>1001011=>[1,3,2,1,1] [6,1,2,7,3,5,8,4]=>1001001=>[1,3,3,1] [8,3,6,2,1,7,4,5]=>1011010=>[1,2,1,2,2] [6,1,2,8,3,5,7,4]=>1001001=>[1,3,3,1] [7,5,3,2,1,8,6,4]=>1111011=>[1,1,1,1,2,1,1] [4,2,1,5,3,6,7,8]=>1101000=>[1,1,2,4] [8,6,4,3,2,1,9,7,5]=>11111011=>[1,1,1,1,1,2,1,1] [7,5,4,3,2,1,8,6,9]=>11111010=>[1,1,1,1,1,2,2] [8,6,4,2,1,9,7,5,3]=>11110111=>[1,1,1,1,2,1,1,1] [7,5,3,2,1,8,6,4,9]=>11110110=>[1,1,1,1,2,1,2] [7,4,3,2,1,8,5,9,6]=>11110101=>[1,1,1,1,2,2,1] [6,4,3,2,1,7,5,8,9]=>11110100=>[1,1,1,1,2,3] [7,5,3,1,8,6,4,2,9]=>11101110=>[1,1,1,2,1,1,2] [7,4,2,1,8,5,3,9,6]=>11101101=>[1,1,1,2,1,2,1] [6,4,2,1,7,5,3,8,9]=>11101100=>[1,1,1,2,1,3] [6,3,2,1,7,4,8,5,9]=>11101010=>[1,1,1,2,2,2] [5,3,2,1,6,4,7,8,9]=>11101000=>[1,1,1,2,4] [7,4,1,8,5,2,9,6,3]=>11011011=>[1,1,2,1,2,1,1] [6,3,1,7,4,2,8,5,9]=>11011010=>[1,1,2,1,2,2] [5,3,1,6,4,2,7,8,9]=>11011000=>[1,1,2,1,4] [6,2,1,7,3,8,4,9,5]=>11010101=>[1,1,2,2,2,1] [5,2,1,6,3,7,4,8,9]=>11010100=>[1,1,2,2,3] [4,2,1,5,3,6,7,8,9]=>11010000=>[1,1,2,5] [4,1,5,2,6,3,7,8,9]=>10101000=>[1,2,2,4] [3,1,4,2,5,6,7,8,9]=>10100000=>[1,2,6] [9,7,5,4,3,2,1,10,8,6]=>111111011=>[1,1,1,1,1,1,2,1,1] [8,6,5,4,3,2,1,9,7,10]=>111111010=>[1,1,1,1,1,1,2,2] [9,7,5,3,2,1,10,8,6,4]=>111110111=>[1,1,1,1,1,2,1,1,1] [8,6,4,3,2,1,9,7,5,10]=>111110110=>[1,1,1,1,1,2,1,2] [8,5,4,3,2,1,9,6,10,7]=>111110101=>[1,1,1,1,1,2,2,1] [7,5,4,3,2,1,8,6,9,10]=>111110100=>[1,1,1,1,1,2,3] [8,6,4,2,1,9,7,5,3,10]=>111101110=>[1,1,1,1,2,1,1,2] [8,5,3,2,1,9,6,4,10,7]=>111101101=>[1,1,1,1,2,1,2,1] [7,5,3,2,1,8,6,4,9,10]=>111101100=>[1,1,1,1,2,1,3] [7,4,3,2,1,8,5,9,6,10]=>111101010=>[1,1,1,1,2,2,2] [6,4,3,2,1,7,5,8,9,10]=>111101000=>[1,1,1,1,2,4] [8,5,3,1,9,6,4,2,10,7]=>111011101=>[1,1,1,2,1,1,2,1] [7,5,3,1,8,6,4,2,9,10]=>111011100=>[1,1,1,2,1,1,3] [8,5,2,1,9,6,3,10,7,4]=>111011011=>[1,1,1,2,1,2,1,1] [7,4,2,1,8,5,3,9,6,10]=>111011010=>[1,1,1,2,1,2,2] [6,4,2,1,7,5,3,8,9,10]=>111011000=>[1,1,1,2,1,4] [7,3,2,1,8,4,9,5,10,6]=>111010101=>[1,1,1,2,2,2,1] [6,3,2,1,7,4,8,5,9,10]=>111010100=>[1,1,1,2,2,3] [5,3,2,1,6,4,7,8,9,10]=>111010000=>[1,1,1,2,5] [7,4,1,8,5,2,9,6,3,10]=>110110110=>[1,1,2,1,2,1,2] [7,3,1,8,4,2,9,5,10,6]=>110110101=>[1,1,2,1,2,2,1] [6,3,1,7,4,2,8,5,9,10]=>110110100=>[1,1,2,1,2,3] [5,3,1,6,4,2,7,8,9,10]=>110110000=>[1,1,2,1,5] [6,2,1,7,3,8,4,9,5,10]=>110101010=>[1,1,2,2,2,2] [5,2,1,6,3,7,4,8,9,10]=>110101000=>[1,1,2,2,4] [4,2,1,5,3,6,7,8,9,10]=>110100000=>[1,1,2,6] [5,1,6,2,7,3,8,4,9,10]=>101010100=>[1,2,2,2,3] [4,1,5,2,6,3,7,8,9,10]=>101010000=>[1,2,2,5] [3,1,4,2,5,6,7,8,9,10]=>101000000=>[1,2,7] [6,2,5,4,1,8,7,3]=>1011011=>[1,2,1,2,1,1] [4,6,3,2,1,8,7,5]=>0111011=>[2,1,1,2,1,1] [6,5,3,2,1,8,7,4]=>1111011=>[1,1,1,1,2,1,1] [8,4,3,2,7,6,1,5]=>1110110=>[1,1,1,2,1,2] [1,5,8,4,7,6,3,2]=>0010111=>[3,2,1,1,1] [3,2,7,4,8,6,1,5]=>1010110=>[1,2,2,1,2] [7,4,3,2,8,6,1,5]=>1110110=>[1,1,1,2,1,2] [6,8,3,7,5,2,1,4]=>0101110=>[2,2,1,1,2] [5,7,8,4,3,2,1,6]=>0011110=>[3,1,1,1,2] [6,4,3,8,5,2,1,7]=>1101110=>[1,1,2,1,1,2] [8,2,5,4,7,6,1,3]=>1010110=>[1,2,2,1,2] [7,2,5,4,8,6,1,3]=>1010110=>[1,2,2,1,2] [4,5,3,2,8,6,1,7]=>0110110=>[2,1,2,1,2] [3,2,5,4,8,6,1,7]=>1010110=>[1,2,2,1,2] [3,2,8,6,5,4,1,7]=>1011110=>[1,2,1,1,1,2] [8,4,3,6,5,2,1,7]=>1101110=>[1,1,2,1,1,2] [8,4,3,7,5,2,1,6]=>1101110=>[1,1,2,1,1,2] [3,2,7,8,5,4,1,6]=>1001110=>[1,3,1,1,2] [6,8,7,4,3,2,1,5]=>0111110=>[2,1,1,1,1,2] [3,6,1,4,8,7,2,5]=>0100110=>[2,3,1,2] [5,8,1,3,7,2,6,4]=>0100101=>[2,3,2,1] [4,7,5,1,8,2,6,3]=>0110101=>[2,1,2,2,1] [6,3,2,1,8,7,4,5]=>1110110=>[1,1,1,2,1,2] [6,2,3,1,8,7,4,5]=>1010110=>[1,2,2,1,2] [3,4,7,1,8,5,6,2]=>0010101=>[3,2,2,1] [7,2,5,1,8,3,6,4]=>1010101=>[1,2,2,2,1] [7,2,1,5,8,4,6,3]=>1100101=>[1,1,3,2,1] [4,2,8,1,7,5,6,3]=>1010101=>[1,2,2,2,1] [8,3,6,4,1,7,5,2]=>1011011=>[1,2,1,2,1,1] [7,3,1,5,2,8,6,4]=>1101011=>[1,1,2,2,1,1] [7,1,6,4,2,8,5,3]=>1011011=>[1,2,1,2,1,1] [3,7,4,1,5,8,6,2]=>0110011=>[2,1,3,1,1] [5,8,6,1,2,7,4,3]=>0110011=>[2,1,3,1,1] [6,8,1,4,3,7,5,2]=>0101011=>[2,2,2,1,1] [6,7,1,4,3,8,5,2]=>0101011=>[2,2,2,1,1] [4,7,1,5,3,8,6,2]=>0101011=>[2,2,2,1,1] [6,8,1,2,4,7,5,3]=>0100011=>[2,4,1,1] [7,1,6,4,8,3,5,2]=>1010101=>[1,2,2,2,1] [8,6,4,1,3,7,5,2]=>1110011=>[1,1,1,3,1,1] [8,5,3,6,1,7,4,2]=>1101011=>[1,1,2,2,1,1] [7,2,1,4,5,8,6,3]=>1100011=>[1,1,4,1,1] [8,5,6,1,2,7,4,3]=>1010011=>[1,2,3,1,1] [8,6,2,5,4,7,3,1]=>1101011=>[1,1,2,2,1,1] [8,5,7,3,2,4,6,1]=>1011001=>[1,2,1,3,1] [8,5,2,1,4,3,6,7]=>1110100=>[1,1,1,2,3] [2,8,4,1,3,6,7,5]=>0110001=>[2,1,4,1] [8,1,2,4,5,6,7,3]=>1000001=>[1,6,1] [6,1,4,3,2,7,8,5]=>1011001=>[1,2,1,3,1] [1,8,3,6,7,2,4,5]=>0100100=>[2,3,3] [1,2,8,3,7,4,6,5]=>0010101=>[3,2,2,1] [1,9,2,3,4,5,6,7,8,10]=>010000000=>[2,8] [1,7,2,3,4,5,6,8,9]=>01000000=>[2,7] [2,4,1,3,6,5,8,7,10,9,11]=>0100101010=>[2,3,2,2,2] [8,2,6,5,4,3,1,7]=>1011110=>[1,2,1,1,1,2] [8,2,7,6,4,5,3,1]=>1011011=>[1,2,1,2,1,1] [8,7,3,5,4,2,6,1]=>1101101=>[1,1,2,1,2,1] [12,10,9,8,7,6,5,4,3,2,1,11]=>11111111110=>[1,1,1,1,1,1,1,1,1,1,2] [4,6,7,2,1,8,3,5]=>0011010=>[3,1,2,2] [3,7,1,8,2,5,4,6]=>0101010=>[2,2,2,2] [4,5,8,6,1,3,7,2]=>0011001=>[3,1,3,1] [4,5,8,6,2,7,3,1]=>0011011=>[3,1,2,1,1] [4,6,7,1,5,3,8,2]=>0010101=>[3,2,2,1] [4,6,7,2,1,8,5,3]=>0011011=>[3,1,2,1,1] [4,2,5,6,7,8,3,1]=>1000011=>[1,5,1,1] [4,1,3,5,6,7,8,2]=>1000001=>[1,6,1] [3,7,8,4,5,1,6,2]=>0010101=>[3,2,2,1] [4,6,8,3,2,7,1,5]=>0011010=>[3,1,2,2] [4,6,8,2,3,7,1,5]=>0010010=>[3,3,2] [3,8,1,7,4,5,2,6]=>0101010=>[2,2,2,2] [4,5,8,3,7,1,2,6]=>0010100=>[3,2,3] [3,7,8,4,6,2,5,1]=>0010101=>[3,2,2,1] [3,6,1,5,7,8,2,4]=>0100010=>[2,4,2] [3,8,2,5,4,7,1,6]=>0101010=>[2,2,2,2] [3,8,6,2,5,1,7,4]=>0110101=>[2,1,2,2,1] [4,5,8,6,2,1,7,3]=>0011101=>[3,1,1,2,1] [4,5,8,6,1,2,7,3]=>0011001=>[3,1,3,1] [4,6,8,5,2,7,1,3]=>0011010=>[3,1,2,2] [3,7,8,5,2,6,1,4]=>0011010=>[3,1,2,2] [3,7,8,5,4,1,6,2]=>0011101=>[3,1,1,2,1] [4,6,8,5,3,1,7,2]=>0011101=>[3,1,1,2,1] [7,8,2,3,5,4,1,6]=>0100110=>[2,3,1,2] [5,1,3,7,6,4,8,2]=>1001101=>[1,3,1,2,1] [4,6,5,2,7,8,1,3]=>0110010=>[2,1,3,2] [1,6,5,2,3,4,8,7]=>0110001=>[2,1,4,1] [4,6,5,1,7,3,8,2]=>0110101=>[2,1,2,2,1] [5,7,3,1,2,4,8,6]=>0110001=>[2,1,4,1] [6,3,2,5,1,7,4,8]=>1101010=>[1,1,2,2,2] [6,1,2,4,8,5,3,7]=>1000110=>[1,4,1,2] [6,3,1,7,2,5,8,4]=>1101001=>[1,1,2,3,1] [3,7,2,8,5,1,4,6]=>0101100=>[2,2,1,3] [3,6,5,2,4,7,1,8]=>0110010=>[2,1,3,2] [3,6,5,8,1,7,2,4]=>0101010=>[2,2,2,2] [1,2,3,4,5,6,8,7,9]=>00000010=>[7,2] [1,2,3,4,5,6,7,9,8,10]=>000000010=>[8,2] [1,2,3,4,5,7,6,8,9]=>00000100=>[6,3] [9,2,3,4,5,6,7,1,8]=>10000010=>[1,6,2] [5,2,7,3,4,6,1,8]=>1010010=>[1,2,3,2] [1,3,5,8,6,4,7,2]=>0001101=>[4,1,2,1] [1,3,5,8,6,7,2,4]=>0001010=>[4,2,2] [6,1,7,4,8,5,3,2]=>1010111=>[1,2,2,1,1,1] [5,7,4,1,3,6,8,2]=>0110001=>[2,1,4,1] [7,4,3,1,6,5,8,2]=>1110101=>[1,1,1,2,2,1] [7,8,1,4,6,5,3,2]=>0100111=>[2,3,1,1,1] [7,8,6,1,4,5,3,2]=>0110011=>[2,1,3,1,1] [6,2,7,3,8,5,4,1]=>1010111=>[1,2,2,1,1,1] [1,2,7,5,3,4,8,6]=>0011001=>[3,1,3,1] [7,2,8,3,6,4,5,1]=>1010101=>[1,2,2,2,1] [6,2,7,8,3,1,4,5]=>1001100=>[1,3,1,3] [1,7,8,2,5,3,4,6]=>0010100=>[3,2,3] [3,7,8,1,2,5,6,4]=>0010001=>[3,4,1] [1,2,8,7,3,4,6,5]=>0011001=>[3,1,3,1] [8,2,7,4,5,1,6,3]=>1010101=>[1,2,2,2,1] [3,8,1,5,7,2,6,4]=>0100101=>[2,3,2,1] [7,5,4,8,6,1,2,3]=>1101100=>[1,1,2,1,3] [7,1,8,6,4,5,2,3]=>1011010=>[1,2,1,2,2] [8,7,5,1,4,3,6,2]=>1110101=>[1,1,1,2,2,1] [1,5,7,8,3,4,2,6]=>0001010=>[4,2,2] [6,8,4,3,1,7,2,5]=>0111010=>[2,1,1,2,2] [8,4,1,3,7,5,6,2]=>1100101=>[1,1,3,2,1] [4,8,1,3,7,5,6,2]=>0100101=>[2,3,2,1] [1,8,5,7,4,2,3,6]=>0101100=>[2,2,1,3] [2,1,6,8,5,3,4,7]=>1001100=>[1,3,1,3] [4,5,1,3,8,6,7,2]=>0100101=>[2,3,2,1] [1,2,6,8,5,3,4,7]=>0001100=>[4,1,3] [5,6,8,7,3,1,2,4]=>0011100=>[3,1,1,3] [6,7,5,3,8,1,2,4]=>0110100=>[2,1,2,3] [6,8,5,7,3,1,2,4]=>0101100=>[2,2,1,3] [5,7,8,6,3,1,2,4]=>0011100=>[3,1,1,3] [5,1,4,2,6,8,7,3]=>1010011=>[1,2,3,1,1] [6,3,2,4,7,1,8,5]=>1100101=>[1,1,3,2,1] [1,5,6,8,4,2,3,7]=>0001100=>[4,1,3] [5,7,8,3,6,1,2,4]=>0010100=>[3,2,3] [1,5,8,6,2,4,3,7]=>0011010=>[3,1,2,2] [1,5,3,7,2,6,8,4]=>0101001=>[2,2,3,1] [5,1,8,6,2,4,3,7]=>1011010=>[1,2,1,2,2] [5,8,6,3,7,1,2,4]=>0110100=>[2,1,2,3] [1,5,2,4,8,6,7,3]=>0100101=>[2,3,2,1] [1,5,4,2,6,8,7,3]=>0110011=>[2,1,3,1,1] [5,7,6,3,8,1,2,4]=>0110100=>[2,1,2,3] [5,7,6,8,3,1,2,4]=>0101100=>[2,2,1,3] [6,8,7,5,3,1,2,4]=>0111100=>[2,1,1,1,3] [1,2,5,3,6,8,7,4]=>0010011=>[3,3,1,1] [6,8,7,2,1,5,3,4]=>0111010=>[2,1,1,2,2] [7,3,6,1,4,8,2,5]=>1010010=>[1,2,3,2] [7,8,1,6,5,3,4,2]=>0101101=>[2,2,1,2,1] [8,7,3,2,1,4,6,5]=>1111001=>[1,1,1,1,3,1] [8,3,5,1,7,4,2,6]=>1010110=>[1,2,2,1,2] [3,5,6,8,4,2,7,1]=>0001101=>[4,1,2,1] [5,8,2,6,4,3,7,1]=>0101101=>[2,2,1,2,1] [2,8,6,3,4,1,7,5]=>0110101=>[2,1,2,2,1] [1,7,2,3,5,8,6,4]=>0100011=>[2,4,1,1] [4,6,2,3,5,1,7,8]=>0100100=>[2,3,3] [2,8,3,7,5,1,6,4]=>0101101=>[2,2,1,2,1] [6,4,8,7,2,1,5,3]=>1011101=>[1,2,1,1,2,1] [1,8,2,3,7,5,6,4]=>0100101=>[2,3,2,1] [2,8,4,3,6,7,1,5]=>0110010=>[2,1,3,2] [7,3,2,5,6,1,8,4]=>1100101=>[1,1,3,2,1] [1,6,7,8,2,4,3,5]=>0001010=>[4,2,2] [4,1,2,8,5,3,7,6]=>1001101=>[1,3,1,2,1] [3,8,4,2,5,1,7,6]=>0110101=>[2,1,2,2,1] [1,8,5,6,4,3,2,7]=>0101110=>[2,2,1,1,2] [2,8,3,5,6,4,1,7]=>0100110=>[2,3,1,2] [4,1,5,7,6,8,2,3]=>1001010=>[1,3,2,2] [7,6,8,3,2,5,1,4]=>1011010=>[1,2,1,2,2] [2,7,8,1,6,4,5,3]=>0010101=>[3,2,2,1] [2,7,1,4,5,3,8,6]=>0100101=>[2,3,2,1] [1,5,2,7,4,3,6,8]=>0101100=>[2,2,1,3] [5,1,3,8,4,6,2,7]=>1001010=>[1,3,2,2] [6,5,8,7,1,3,2,4]=>1011010=>[1,2,1,2,2] [2,7,3,5,1,6,8,4]=>0101001=>[2,2,3,1] [5,7,6,8,2,1,4,3]=>0101101=>[2,2,1,2,1] [1,3,6,5,2,7,4,8]=>0011010=>[3,1,2,2] [1,2,6,5,3,4,7,8]=>0011000=>[3,1,4] [1,7,2,5,6,8,3,4]=>0100010=>[2,4,2] [1,7,2,4,8,3,5,6]=>0100100=>[2,3,3] [1,6,2,4,5,3,7,8]=>0100100=>[2,3,3] [1,3,2,8,4,5,7,6]=>0101001=>[2,2,3,1] [1,6,8,2,4,3,5,7]=>0010100=>[3,2,3] [1,6,7,2,5,3,4,8]=>0010100=>[3,2,3] [1,2,8,3,6,7,4,5]=>0010010=>[3,3,2] [1,7,2,5,3,4,8,6]=>0101001=>[2,2,3,1] [10,3,4,5,6,7,8,9,1,2]=>100000010=>[1,7,2] [9,3,4,5,6,7,8,1,10,2]=>100000101=>[1,6,2,1] [8,3,4,5,6,7,1,9,10,2]=>100001001=>[1,5,3,1] [7,3,4,5,6,1,8,9,10,2]=>100010001=>[1,4,4,1] [6,3,4,5,1,7,8,9,10,2]=>100100001=>[1,3,5,1] [5,3,4,1,6,7,8,9,10,2]=>101000001=>[1,2,6,1] [4,3,1,5,6,7,8,9,10,2]=>110000001=>[1,1,7,1] [11,3,4,5,6,7,8,9,10,1,2]=>1000000010=>[1,8,2] [10,9,4,5,6,7,8,1,2,3]=>110000100=>[1,1,5,3] [10,3,4,5,6,7,8,9,1,11,2]=>1000000101=>[1,7,2,1] [10,3,8,5,6,7,1,9,2,4]=>101001010=>[1,2,3,2,2] [9,3,4,5,6,7,8,1,10,11,2]=>1000001001=>[1,6,3,1] [10,3,4,7,6,1,8,9,2,5]=>100110010=>[1,3,1,3,2] [10,3,4,5,1,7,8,9,2,6]=>100100010=>[1,3,4,2] [5,3,4,1,6,10,8,9,2,7]=>101001010=>[1,2,3,2,2] [4,3,1,5,6,7,10,9,2,8]=>110000110=>[1,1,5,1,2] [5,3,4,1,6,7,8,9,10,11,2]=>1010000001=>[1,2,7,1] [3,1,4,5,6,7,8,10,2,9]=>100000010=>[1,7,2] [4,3,1,5,6,7,8,9,10,11,2]=>1100000001=>[1,1,8,1] [7,1,5,6,2,3,8,4]=>1001001=>[1,3,3,1] [8,2,1,4,6,7,3,5]=>1100010=>[1,1,4,2] [7,2,6,1,3,4,8,5]=>1010001=>[1,2,4,1] [4,1,3,7,2,5,8,6]=>1001001=>[1,3,3,1] [6,2,7,5,1,3,8,4]=>1011001=>[1,2,1,3,1] [1,7,5,6,2,3,8,4]=>0101001=>[2,2,3,1] [3,7,6,1,2,4,8,5]=>0110001=>[2,1,4,1] [8,6,1,3,5,7,2,4]=>1100010=>[1,1,4,2] [1,7,4,3,8,2,5,6]=>0110100=>[2,1,2,3] [6,1,5,3,4,8,2,7]=>1010010=>[1,2,3,2] [3,6,7,5,2,8,1,4]=>0011010=>[3,1,2,2] [7,8,4,1,5,6,2,3]=>0110010=>[2,1,3,2] [5,8,1,3,6,7,2,4]=>0100010=>[2,4,2] [2,8,4,3,7,1,5,6]=>0110100=>[2,1,2,3] [3,8,4,6,7,1,2,5]=>0100100=>[2,3,3] [6,3,8,4,7,1,2,5]=>1010100=>[1,2,2,3] [1,2,5,4,8,3,6,7]=>0010100=>[3,2,3] [7,1,3,8,2,4,5,6]=>1001000=>[1,3,4] [8,1,3,7,2,4,5,6]=>1001000=>[1,3,4] [3,5,4,7,8,1,2,6]=>0100100=>[2,3,3] [8,3,1,4,7,2,5,6]=>1100100=>[1,1,3,3] [1,6,4,7,8,2,3,5]=>0100100=>[2,3,3] [5,2,3,6,7,8,1,4]=>1000010=>[1,5,2] [6,2,7,3,8,5,1,4]=>1010110=>[1,2,2,1,2] [1,3,7,8,5,6,2,4]=>0001010=>[4,2,2] [8,2,6,7,5,1,3,4]=>1001100=>[1,3,1,3] [8,1,7,4,6,2,3,5]=>1010100=>[1,2,2,3] [2,5,8,4,7,1,3,6]=>0010100=>[3,2,3] [4,5,8,7,1,2,3,6]=>0011000=>[3,1,4] [4,1,8,5,7,2,3,6]=>1010100=>[1,2,2,3] [1,8,7,4,6,2,3,5]=>0110100=>[2,1,2,3] [2,6,5,4,1,8,3,7]=>0111010=>[2,1,1,2,2] [6,2,5,1,4,8,3,7]=>1010010=>[1,2,3,2] [6,5,4,1,3,8,2,7]=>1110010=>[1,1,1,3,2] [6,3,5,4,2,8,1,7]=>1011010=>[1,2,1,2,2] [1,3,8,7,4,2,6,5]=>0011101=>[3,1,1,2,1] [8,7,4,3,1,5,2,6]=>1111010=>[1,1,1,1,2,2] [8,2,5,1,4,6,7,3]=>1010001=>[1,2,4,1] [3,8,4,5,1,6,7,2]=>0101001=>[2,2,3,1] [8,5,4,1,3,6,7,2]=>1110001=>[1,1,1,4,1] [8,3,1,7,5,6,4,2]=>1101011=>[1,1,2,2,1,1] [8,4,7,6,5,3,1,2]=>1011110=>[1,2,1,1,1,2] [8,1,4,5,7,6,3,2]=>1000111=>[1,4,1,1,1] [2,4,1,8,5,7,6,3]=>0101011=>[2,2,2,1,1] [8,2,1,4,7,6,3,5]=>1100110=>[1,1,3,1,2] [8,3,1,7,4,2,6,5]=>1101101=>[1,1,2,1,2,1] [8,2,7,3,1,6,5,4]=>1011011=>[1,2,1,2,1,1] [1,8,4,2,3,7,6,5]=>0110011=>[2,1,3,1,1] [3,1,2,8,7,4,6,5]=>1001101=>[1,3,1,2,1] [8,5,1,2,4,3,7,6]=>1100101=>[1,1,3,2,1] [2,8,3,7,4,1,6,5]=>0101101=>[2,2,1,2,1] [8,4,5,7,6,2,3,1]=>1001101=>[1,3,1,2,1] [2,3,1,8,7,6,4,5]=>0101110=>[2,2,1,1,2] [4,2,8,7,3,1,5,6]=>1011100=>[1,2,1,1,3] [1,3,4,8,7,2,5,6]=>0001100=>[4,1,3] [8,1,3,4,6,7,2,5]=>1000010=>[1,5,2] [3,4,8,2,6,7,1,5]=>0010010=>[3,3,2] [3,6,8,2,5,1,7,4]=>0010101=>[3,2,2,1] [3,8,2,5,7,4,6,1]=>0100101=>[2,3,2,1] [8,4,2,1,7,5,6,3]=>1110101=>[1,1,1,2,2,1] [8,2,7,5,6,4,1,3]=>1010110=>[1,2,2,1,2] [6,2,8,5,4,1,7,3]=>1011101=>[1,2,1,1,2,1] [6,8,5,4,1,7,2,3]=>0111010=>[2,1,1,2,2] [2,8,1,5,7,6,3,4]=>0100110=>[2,3,1,2] [3,1,8,2,7,5,6,4]=>1010101=>[1,2,2,2,1] [8,5,7,1,6,4,2,3]=>1010110=>[1,2,2,1,2] [2,8,4,7,3,6,5,1]=>0101011=>[2,2,2,1,1] [8,4,7,2,1,6,5,3]=>1011011=>[1,2,1,2,1,1] [1,8,4,7,6,5,2,3]=>0101110=>[2,2,1,1,2] [3,5,8,1,7,4,6,2]=>0010101=>[3,2,2,1] [8,4,7,1,3,6,5,2]=>1010011=>[1,2,3,1,1] [8,2,3,4,5,6,9,1,7]=>10000010=>[1,6,2] [8,2,3,9,5,6,7,1,4]=>10010010=>[1,3,3,2] [8,2,9,4,5,6,7,1,3]=>10100010=>[1,2,4,2] [8,9,3,4,5,6,7,1,2]=>01000010=>[2,5,2] [9,2,3,4,5,6,7,10,1,8]=>100000010=>[1,7,2] [4,2,3,1,9,8,7,6,5]=>10101111=>[1,2,2,1,1,1,1] [3,2,1,9,8,6,7,5,4]=>11011011=>[1,1,2,1,2,1,1] [9,2,10,4,5,6,7,8,1,3]=>101000010=>[1,2,5,2] [2,3,4,7,6,8,1,5]=>0001010=>[4,2,2] [3,8,1,2,5,6,4,7]=>0100010=>[2,4,2] [8,5,2,1,4,6,7,3]=>1110001=>[1,1,1,4,1] [4,8,1,6,5,2,7,3]=>0101101=>[2,2,1,2,1] [4,2,6,3,8,5,7,1]=>1010101=>[1,2,2,2,1] [4,5,2,6,7,1,8,3]=>0100101=>[2,3,2,1] [2,7,4,1,6,3,5,8]=>0110100=>[2,1,2,3] [8,3,5,4,2,7,1,6]=>1011010=>[1,2,1,2,2] [2,8,6,4,7,3,1,5]=>0110110=>[2,1,2,1,2] [3,1,8,6,5,2,7,4]=>1011101=>[1,2,1,1,2,1] [8,3,1,5,2,6,7,4]=>1101001=>[1,1,2,3,1] [3,8,2,4,1,5,7,6]=>0101001=>[2,2,3,1] [5,8,3,2,4,1,7,6]=>0110101=>[2,1,2,2,1] [6,5,3,2,4,8,1,7]=>1110010=>[1,1,1,3,2] [5,2,4,6,1,3,8,7]=>1001001=>[1,3,3,1] [7,2,3,4,6,8,1,5]=>1000010=>[1,5,2] [8,3,4,6,7,5,1,2]=>1000110=>[1,4,1,2] [6,8,3,4,7,5,2,1]=>0100111=>[2,3,1,1,1] [5,8,6,1,3,4,7,2]=>0110001=>[2,1,4,1] [4,8,1,5,7,6,3,2]=>0100111=>[2,3,1,1,1] [3,7,4,6,8,2,5,1]=>0100101=>[2,3,2,1] [4,7,1,6,8,3,2,5]=>0100110=>[2,3,1,2] [4,5,2,8,1,7,3,6]=>0101010=>[2,2,2,2] [3,7,5,2,8,6,1,4]=>0110110=>[2,1,2,1,2] [4,8,5,2,6,7,1,3]=>0110010=>[2,1,3,2] [5,4,8,6,1,2,7,3]=>1011001=>[1,2,1,3,1] [8,4,6,5,2,7,3,1]=>1011011=>[1,2,1,2,1,1] [8,1,6,4,7,5,2,3]=>1010110=>[1,2,2,1,2] [5,2,7,6,4,8,1,3]=>1011010=>[1,2,1,2,2] [8,6,2,3,5,1,7,4]=>1100101=>[1,1,3,2,1] [8,2,5,7,4,1,3,6]=>1001100=>[1,3,1,3] [7,2,4,5,6,8,1,3]=>1000010=>[1,5,2] [7,1,3,5,6,2,8,4]=>1000101=>[1,4,2,1] [7,1,5,8,4,6,3,2]=>1001011=>[1,3,2,1,1] [6,3,8,4,7,1,5,2]=>1010101=>[1,2,2,2,1] [7,1,4,3,2,8,5,6]=>1011010=>[1,2,1,2,2] [5,3,6,1,4,2,8,7]=>1010101=>[1,2,2,2,1] [5,7,2,1,4,3,8,6]=>0110101=>[2,1,2,2,1] [7,1,8,3,5,2,4,6]=>1010100=>[1,2,2,3] [7,2,4,8,1,5,6,3]=>1001001=>[1,3,3,1] [7,1,8,4,2,5,6,3]=>1011001=>[1,2,1,3,1] [6,4,2,5,8,1,7,3]=>1100101=>[1,1,3,2,1] [2,1,7,5,8,3,6,4]=>1010101=>[1,2,2,2,1] [7,3,8,5,6,2,1,4]=>1010110=>[1,2,2,1,2] [2,7,4,8,1,5,6,3]=>0101001=>[2,2,3,1] [7,4,8,3,1,5,6,2]=>1011001=>[1,2,1,3,1] [6,1,5,8,3,7,4,2]=>1001011=>[1,3,2,1,1] [2,6,3,5,8,7,4,1]=>0100111=>[2,3,1,1,1] [8,6,5,3,7,2,1,4]=>1110110=>[1,1,1,2,1,2] [4,8,5,3,7,2,1,6]=>0110110=>[2,1,2,1,2] [7,4,8,6,5,3,2,1]=>1011111=>[1,2,1,1,1,1,1] [7,4,8,5,6,3,1,2]=>1010110=>[1,2,2,1,2] [7,8,4,1,3,5,6,2]=>0110001=>[2,1,4,1] [7,8,3,4,1,5,6,2]=>0101001=>[2,2,3,1] [7,3,1,8,2,5,6,4]=>1101001=>[1,1,2,3,1] [7,2,3,8,1,5,6,4]=>1001001=>[1,3,3,1] [6,4,8,7,3,2,1,5]=>1011110=>[1,2,1,1,1,2] [2,7,4,8,6,3,1,5]=>0101110=>[2,2,1,1,2] [6,4,8,2,3,1,7,5]=>1010101=>[1,2,2,2,1] [7,2,1,8,3,5,6,4]=>1101001=>[1,1,2,3,1] [5,1,6,3,8,2,4,7]=>1010100=>[1,2,2,3] [3,6,5,1,4,8,7,2]=>0110011=>[2,1,3,1,1] [7,3,6,2,8,4,1,5]=>1010110=>[1,2,2,1,2] [6,5,1,8,4,7,2,3]=>1101010=>[1,1,2,2,2] [7,5,4,8,1,6,2,3]=>1101010=>[1,1,2,2,2] [4,3,5,8,7,1,2,6]=>1001100=>[1,3,1,3] [3,5,6,8,1,4,2,7]=>0001010=>[4,2,2] [4,3,5,8,2,1,6,7]=>1001100=>[1,3,1,3] [6,4,7,2,3,1,5,8]=>1010100=>[1,2,2,3] [6,8,1,5,4,2,7,3]=>0101101=>[2,2,1,2,1] [7,8,6,3,1,4,2,5]=>0111010=>[2,1,1,2,2] [7,8,6,3,5,1,2,4]=>0110100=>[2,1,2,3] [7,2,8,5,4,6,3,1]=>1011011=>[1,2,1,2,1,1] [6,1,8,4,7,2,3,5]=>1010100=>[1,2,2,3] [5,6,4,3,7,1,8,2]=>0110101=>[2,1,2,2,1] [6,5,3,7,2,4,8,1]=>1101001=>[1,1,2,3,1] [5,6,2,8,4,3,7,1]=>0101101=>[2,2,1,2,1] [4,1,2,6,8,3,7,5]=>1000101=>[1,4,2,1] [7,1,3,6,5,8,4,2]=>1001011=>[1,3,2,1,1] [5,7,4,3,6,8,2,1]=>0110011=>[2,1,3,1,1] [4,6,2,7,8,3,5,1]=>0100101=>[2,3,2,1] [5,1,2,4,6,7,8,3]=>1000001=>[1,6,1] [4,6,3,5,2,8,7,1]=>0101011=>[2,2,2,1,1] [5,6,3,4,8,2,7,1]=>0100101=>[2,3,2,1] [5,2,6,4,1,7,8,3]=>1011001=>[1,2,1,3,1] [5,8,4,6,3,2,7,1]=>0101101=>[2,2,1,2,1] [5,4,3,8,6,2,7,1]=>1101101=>[1,1,2,1,2,1] [5,7,8,2,4,3,6,1]=>0010101=>[3,2,2,1] [5,6,2,4,8,3,7,1]=>0100101=>[2,3,2,1] [6,4,7,8,2,3,5,1]=>1001001=>[1,3,3,1] [3,7,5,2,4,8,1,6]=>0110010=>[2,1,3,2] [4,7,5,2,3,8,6,1]=>0110011=>[2,1,3,1,1] [6,4,7,3,2,5,8,1]=>1011001=>[1,2,1,3,1] [5,7,3,2,8,4,6,1]=>0110101=>[2,1,2,2,1] [5,3,7,2,8,4,6,1]=>1010101=>[1,2,2,2,1] [4,3,7,2,5,8,6,1]=>1010011=>[1,2,3,1,1] [4,7,3,2,5,8,6,1]=>0110011=>[2,1,3,1,1] [4,7,3,2,6,8,5,1]=>0110011=>[2,1,3,1,1] [7,5,3,2,6,4,8,1]=>1110101=>[1,1,1,2,2,1] [8,5,2,6,7,3,4,1]=>1100101=>[1,1,3,2,1] [8,4,2,6,3,7,5,1]=>1101011=>[1,1,2,2,1,1] [7,4,6,2,3,8,5,1]=>1010011=>[1,2,3,1,1] [7,5,6,2,8,3,4,1]=>1010101=>[1,2,2,2,1] [5,7,6,2,8,3,4,1]=>0110101=>[2,1,2,2,1] [4,7,6,2,3,8,5,1]=>0110011=>[2,1,3,1,1] [7,6,3,2,5,8,1,4]=>1110010=>[1,1,1,3,2] [7,6,4,2,5,8,3,1]=>1110011=>[1,1,1,3,1,1] [2,10,4,5,6,7,8,9,1,3]=>010000010=>[2,6,2] [9,8,4,5,6,7,1,2,10,3]=>110001001=>[1,1,4,3,1] [2,10,9,5,6,7,8,1,3,4]=>011000100=>[2,1,4,3] [2,11,4,5,6,7,8,9,10,1,3]=>0100000010=>[2,7,2] [11,3,4,5,6,7,8,9,10,1,12,2]=>10000000101=>[1,8,2,1] [9,3,8,5,6,7,1,2,10,4]=>101001001=>[1,2,3,3,1] [9,7,4,5,6,1,8,2,10,3]=>110010101=>[1,1,3,2,2,1] [2,10,4,9,6,7,8,1,3,5]=>010100100=>[2,2,3,3] [2,10,8,5,6,7,1,9,3,4]=>011001010=>[2,1,3,2,2] [2,12,4,5,6,7,8,9,10,11,1,3]=>01000000010=>[2,8,2] [6,3,8,5,4,7,2,1]=>1011011=>[1,2,1,2,1,1] [1,3,2,4,5,6,7,8,9]=>01000000=>[2,7] [1,4,2,3,5,6,7,8,9]=>01000000=>[2,7] [1,3,2,4,5,6,7,8,9,10]=>010000000=>[2,8] [2,4,6,3,8,7,5,1]=>0010111=>[3,2,1,1,1] [2,4,6,1,8,7,3,5]=>0010110=>[3,2,1,2] [2,4,3,6,8,7,1,5]=>0100110=>[2,3,1,2] [2,4,6,3,8,7,1,5]=>0010110=>[3,2,1,2] [2,4,6,5,8,7,1,3]=>0010110=>[3,2,1,2] [2,4,6,8,5,7,3,1]=>0001011=>[4,2,1,1] [2,4,6,8,5,7,1,3]=>0001010=>[4,2,2] [2,4,6,8,3,7,1,5]=>0001010=>[4,2,2] [2,4,6,8,1,7,3,5]=>0001010=>[4,2,2] [2,4,6,5,1,8,7,3]=>0011011=>[3,1,2,1,1] [2,4,6,5,8,3,7,1]=>0010101=>[3,2,2,1] [2,4,6,5,8,1,7,3]=>0010101=>[3,2,2,1] [2,4,6,8,5,1,7,3]=>0001101=>[4,1,2,1] [2,4,6,8,7,3,5,1]=>0001101=>[4,1,2,1] [2,4,6,8,7,1,5,3]=>0001101=>[4,1,2,1] [2,4,6,8,7,1,3,5]=>0001100=>[4,1,3] [2,4,6,8,5,1,3,7]=>0001100=>[4,1,3] [2,4,6,5,1,8,3,7]=>0011010=>[3,1,2,2] [2,4,6,5,1,3,8,7]=>0011001=>[3,1,3,1] [2,4,6,5,3,8,1,7]=>0011010=>[3,1,2,2] [2,4,6,5,8,3,1,7]=>0010110=>[3,2,1,2] [2,4,6,8,5,3,1,7]=>0001110=>[4,1,1,2] [2,4,6,8,7,3,1,5]=>0001110=>[4,1,1,2] [2,4,6,8,7,5,1,3]=>0001110=>[4,1,1,2] [4,8,7,5,2,1,3,6]=>0111100=>[2,1,1,1,3] [6,1,4,7,5,8,2,3]=>1001010=>[1,3,2,2] [1,8,6,5,3,2,7,4]=>0111101=>[2,1,1,1,2,1] [1,6,3,5,8,2,4,7]=>0100100=>[2,3,3] [4,6,1,7,8,5,3,2]=>0100111=>[2,3,1,1,1] [6,1,2,7,8,4,5,3]=>1000101=>[1,4,2,1] [6,1,3,2,7,8,5,4]=>1010011=>[1,2,3,1,1] [5,6,3,1,7,4,8,2]=>0110101=>[2,1,2,2,1] [4,8,3,7,1,6,5,2]=>0101011=>[2,2,2,1,1] [8,7,2,6,5,1,4,3]=>1101101=>[1,1,2,1,2,1] [5,8,3,2,1,7,6,4]=>0111011=>[2,1,1,2,1,1] [5,4,3,8,1,7,6,2]=>1101011=>[1,1,2,2,1,1] [6,5,3,8,7,1,4,2]=>1101101=>[1,1,2,1,2,1] [4,3,8,2,7,6,5,1]=>1010111=>[1,2,2,1,1,1] [4,8,2,7,6,5,3,1]=>0101111=>[2,2,1,1,1,1] [7,8,2,6,5,4,1,3]=>0101110=>[2,2,1,1,2] [3,8,7,6,2,5,1,4]=>0111010=>[2,1,1,2,2] [4,8,3,7,2,1,6,5]=>0101101=>[2,2,1,2,1] [8,6,3,1,7,5,4,2]=>1110111=>[1,1,1,2,1,1,1] [8,6,3,7,1,5,4,2]=>1101011=>[1,1,2,2,1,1] [4,8,3,7,6,2,5,1]=>0101101=>[2,2,1,2,1] [5,8,2,7,6,4,1,3]=>0101110=>[2,2,1,1,2] [8,4,2,1,7,6,5,3]=>1110111=>[1,1,1,2,1,1,1] [1,6,4,2,5,3,7,8]=>0110100=>[2,1,2,3] [1,8,6,2,7,3,4,5]=>0110100=>[2,1,2,3] [1,6,3,2,4,5,7,8]=>0110000=>[2,1,5] [1,5,2,6,4,3,7,8]=>0101100=>[2,2,1,3] [1,5,2,4,6,3,7,8]=>0100100=>[2,3,3] [1,8,6,2,3,7,4,5]=>0110010=>[2,1,3,2] [1,5,2,8,6,3,4,7]=>0101100=>[2,2,1,3] [1,3,6,8,2,7,4,5]=>0001010=>[4,2,2] [1,4,3,8,2,5,6,7]=>0101000=>[2,2,4] [1,7,2,3,8,5,4,6]=>0100110=>[2,3,1,2] [1,3,8,4,2,5,6,7]=>0011000=>[3,1,4] [1,6,2,8,5,4,3,7]=>0101110=>[2,2,1,1,2] [1,7,2,3,8,6,4,5]=>0100110=>[2,3,1,2] [1,5,3,8,2,7,4,6]=>0101010=>[2,2,2,2] [1,4,8,2,5,6,3,7]=>0010010=>[3,3,2] [1,5,7,3,2,8,4,6]=>0011010=>[3,1,2,2] [1,2,7,3,6,8,4,5]=>0010010=>[3,3,2] [1,7,2,3,6,8,4,5]=>0100010=>[2,4,2] [1,4,8,3,2,5,6,7]=>0011000=>[3,1,4] [1,7,2,5,8,3,4,6]=>0100100=>[2,3,3] [8,2,3,4,5,6,7,9,1]=>10000001=>[1,7,1] [7,2,3,4,5,6,9,8,1]=>10000011=>[1,6,1,1] [6,2,3,4,5,9,7,8,1]=>10000101=>[1,5,2,1] [5,2,3,4,9,6,7,8,1]=>10001001=>[1,4,3,1] [4,2,3,9,5,6,7,8,1]=>10010001=>[1,3,4,1] [3,2,9,4,5,6,7,8,1]=>10100001=>[1,2,5,1] [2,9,3,4,5,6,7,8,1]=>01000001=>[2,6,1] [9,2,3,4,5,6,7,8,10,1]=>100000001=>[1,8,1] [6,2,3,4,5,1,8,9,7]=>10001001=>[1,4,3,1] [8,2,3,4,5,6,7,10,9,1]=>100000011=>[1,7,1,1] [5,2,3,4,1,7,9,8,6]=>10010011=>[1,3,3,1,1] [7,2,3,4,5,6,10,8,9,1]=>100000101=>[1,6,2,1] [6,2,3,5,8,1,7,4]=>1000101=>[1,4,2,1] [4,2,3,1,6,9,7,8,5]=>10100101=>[1,2,3,2,1] [6,2,3,4,5,10,7,8,9,1]=>100001001=>[1,5,3,1] [5,2,4,8,1,6,7,3]=>1001001=>[1,3,3,1] [3,2,1,5,9,6,7,8,4]=>11001001=>[1,1,3,3,1] [5,2,3,4,10,6,7,8,9,1]=>100010001=>[1,4,4,1] [2,1,4,9,5,6,7,8,3]=>10010001=>[1,3,4,1] [4,2,3,10,5,6,7,8,9,1]=>100100001=>[1,3,5,1] [1,3,9,4,5,6,7,8,2]=>00100001=>[3,5,1] [3,2,10,4,5,6,7,8,9,1]=>101000001=>[1,2,6,1] [2,10,3,4,5,6,7,8,9,1]=>010000001=>[2,7,1] [2,3,5,6,4,7,8,1,9]=>00010010=>[4,3,2] [1,3,4,6,7,5,8,9,2]=>00001001=>[5,3,1] [2,3,4,6,7,5,8,9,1,10]=>000010010=>[5,3,2] [2,3,6,5,7,4,8,1,9]=>00101010=>[3,2,2,2] [2,3,5,6,7,1,8,4,9]=>00001010=>[5,2,2] [2,6,4,5,7,3,1,8]=>0100110=>[2,3,1,2] [2,5,6,3,4,7,1,8]=>0010010=>[3,3,2] [1,3,7,5,6,8,4,2]=>0010011=>[3,3,1,1] [1,3,6,7,4,5,8,2]=>0001001=>[4,3,1] [1,3,4,7,6,8,5,9,2]=>00010101=>[4,2,2,1] [1,3,4,6,7,8,2,9,5]=>00000101=>[6,2,1] [1,3,4,5,7,8,6,9,10,2]=>000001001=>[6,3,1] [1,5,6,3,4,2,7,8]=>0010100=>[3,2,3] [1,5,6,3,4,7,2,8]=>0010010=>[3,3,2] [1,5,3,6,4,2,7,8]=>0101100=>[2,2,1,3] [1,7,5,6,8,3,4,2]=>0100101=>[2,3,2,1] [1,7,5,6,3,8,4,2]=>0101011=>[2,2,2,1,1] [1,3,7,5,2,8,6,4]=>0011011=>[3,1,2,1,1] [1,3,7,2,5,8,6,4]=>0010011=>[3,3,1,1] [1,5,3,7,4,6,2,8]=>0101010=>[2,2,2,2] [1,5,3,7,6,4,2,8]=>0101110=>[2,2,1,1,2] [1,5,3,6,7,4,2,8]=>0100110=>[2,3,1,2] [1,5,6,3,7,4,2,8]=>0010110=>[3,2,1,2] [1,5,7,6,3,4,8,2]=>0011001=>[3,1,3,1] [1,5,7,3,6,4,8,2]=>0010101=>[3,2,2,1] [1,3,7,2,5,6,8,4]=>0010001=>[3,4,1] [1,3,7,5,6,2,8,4]=>0010101=>[3,2,2,1] [2,5,7,4,1,3,8,6]=>0011001=>[3,1,3,1] [6,7,3,1,8,5,2,4]=>0110110=>[2,1,2,1,2] [6,3,1,5,8,7,2,4]=>1100110=>[1,1,3,1,2] [8,3,5,1,7,6,2,4]=>1010110=>[1,2,2,1,2] [4,6,3,5,8,2,1,7]=>0100110=>[2,3,1,2] [2,3,6,4,1,8,7,5]=>0011011=>[3,1,2,1,1] [7,4,5,2,1,8,6,3]=>1011011=>[1,2,1,2,1,1] [4,7,5,2,1,8,6,3]=>0111011=>[2,1,1,2,1,1] [8,5,3,6,2,1,7,4]=>1101101=>[1,1,2,1,2,1] [4,5,7,3,1,2,8,6]=>0011001=>[3,1,3,1] [4,5,1,8,3,2,7,6]=>0101101=>[2,2,1,2,1] [5,7,4,6,3,2,1,8]=>0101110=>[2,2,1,1,2] [3,6,1,2,4,8,7,5]=>0100011=>[2,4,1,1] [2,5,3,8,4,1,7,6]=>0101101=>[2,2,1,2,1] [8,6,2,3,1,7,5,4]=>1101011=>[1,1,2,2,1,1] [7,5,2,3,1,8,6,4]=>1101011=>[1,1,2,2,1,1] [6,3,1,2,4,8,7,5]=>1100011=>[1,1,4,1,1] [4,7,5,2,3,6,1,8]=>0110010=>[2,1,3,2] [3,6,8,4,5,1,2,7]=>0010100=>[3,2,3] [5,2,3,7,6,4,1,8]=>1001110=>[1,3,1,1,2] [6,2,7,3,5,4,1,8]=>1010110=>[1,2,2,1,2] [7,2,6,5,3,4,1,8]=>1011010=>[1,2,1,2,2] [8,2,6,5,4,1,3,7]=>1011100=>[1,2,1,1,3] [6,2,8,4,5,1,3,7]=>1010100=>[1,2,2,3] [2,3,1,7,8,5,6,4]=>0100101=>[2,3,2,1] [7,2,8,5,1,4,3,6]=>1011010=>[1,2,1,2,2] [8,6,7,1,4,2,3,5]=>1010100=>[1,2,2,3] [6,8,7,1,4,3,2,5]=>0110110=>[2,1,2,1,2] [6,8,2,5,3,1,4,7]=>0101100=>[2,2,1,3] [3,7,8,5,1,4,2,6]=>0011010=>[3,1,2,2] [4,8,7,3,1,2,5,6]=>0111000=>[2,1,1,4] [4,8,6,2,3,1,5,7]=>0110100=>[2,1,2,3] [3,8,5,4,2,1,6,7]=>0111100=>[2,1,1,1,3] [4,5,3,8,2,1,6,7]=>0101100=>[2,2,1,3] [3,7,4,1,8,2,6,5]=>0110101=>[2,1,2,2,1] [3,8,4,1,7,6,2,5]=>0110110=>[2,1,2,1,2] [3,7,2,1,8,4,6,5]=>0110101=>[2,1,2,2,1] [8,7,1,6,5,2,3,4]=>1101100=>[1,1,2,1,3] [8,5,1,2,7,6,3,4]=>1100110=>[1,1,3,1,2] [3,8,2,1,7,6,4,5]=>0110110=>[2,1,2,1,2] [3,5,7,8,2,4,6,1]=>0001001=>[4,3,1] [7,8,2,5,4,3,6,1]=>0101101=>[2,2,1,2,1] [4,5,3,7,8,2,6,1]=>0100101=>[2,3,2,1] [1,5,4,7,3,6,2,8]=>0101010=>[2,2,2,2] [1,7,3,6,8,4,5,2]=>0100101=>[2,3,2,1] [4,6,8,2,7,3,5,1]=>0010101=>[3,2,2,1] [4,7,6,3,5,1,8,2]=>0110101=>[2,1,2,2,1] [7,8,3,6,1,5,4,2]=>0101011=>[2,2,2,1,1] [2,5,7,8,4,6,1,3]=>0001010=>[4,2,2] [3,7,5,6,2,1,4,8]=>0101100=>[2,2,1,3] [6,2,1,7,4,5,3,8]=>1101010=>[1,1,2,2,2] [1,2,6,4,7,5,3,8]=>0010110=>[3,2,1,2] [7,5,6,3,8,4,2,1]=>1010111=>[1,2,2,1,1,1] [8,5,4,2,1,6,7,3]=>1111001=>[1,1,1,1,3,1] [2,6,8,4,7,5,1,3]=>0010110=>[3,2,1,2] [6,7,5,1,4,8,3,2]=>0110011=>[2,1,3,1,1] [7,4,1,6,5,3,8,2]=>1101101=>[1,1,2,1,2,1] [5,8,2,7,3,6,4,1]=>0101011=>[2,2,2,1,1] [1,6,5,7,3,8,4,2]=>0101011=>[2,2,2,1,1] [1,5,6,8,4,2,7,3]=>0001101=>[4,1,2,1] [7,5,4,1,8,2,6,3]=>1110101=>[1,1,1,2,2,1] [6,4,1,8,2,7,5,3]=>1101011=>[1,1,2,2,1,1] [7,8,5,3,2,6,1,4]=>0111010=>[2,1,1,2,2] [8,2,5,1,7,6,4,3]=>1010111=>[1,2,2,1,1,1] [6,7,4,3,8,2,5,1]=>0110101=>[2,1,2,2,1] [3,4,2,7,8,6,1,5]=>0100110=>[2,3,1,2] [7,8,6,1,4,3,2,5]=>0110110=>[2,1,2,1,2] [2,4,7,8,6,1,3,5]=>0001100=>[4,1,3] [3,7,8,6,5,2,4,1]=>0011101=>[3,1,1,2,1] [4,5,2,7,8,6,3,1]=>0100111=>[2,3,1,1,1] [4,6,2,5,3,1,7,8]=>0101100=>[2,2,1,3] [4,1,5,6,3,2,7,8]=>1001100=>[1,3,1,3] [2,6,7,5,4,1,3,8]=>0011100=>[3,1,1,3] [4,1,6,7,5,3,2,8]=>1001110=>[1,3,1,1,2] [6,7,4,3,1,5,2,8]=>0111010=>[2,1,1,2,2] [1,7,5,6,4,3,2,8]=>0101110=>[2,2,1,1,2] [7,6,5,3,1,8,4,2]=>1111011=>[1,1,1,1,2,1,1] [7,8,6,4,3,1,5,2]=>0111101=>[2,1,1,1,2,1] [4,1,7,8,6,5,3,2]=>1001111=>[1,3,1,1,1,1] [4,5,7,3,8,6,1,2]=>0010110=>[3,2,1,2] [6,8,5,3,7,2,1,4]=>0110110=>[2,1,2,1,2] [4,7,1,5,8,2,6,3]=>0100101=>[2,3,2,1] [3,7,6,2,1,8,4,5]=>0111010=>[2,1,1,2,2] [2,7,5,8,3,6,4,1]=>0101011=>[2,2,2,1,1] [7,4,8,2,6,5,3,1]=>1010111=>[1,2,2,1,1,1] [7,5,4,8,2,6,3,1]=>1101011=>[1,1,2,2,1,1] [4,3,8,1,6,5,2,7]=>1010110=>[1,2,2,1,2] [2,3,6,5,7,8,1,4]=>0010010=>[3,3,2] [8,3,4,1,2,6,7,5]=>1010001=>[1,2,4,1] [7,3,4,8,5,2,1,6]=>1001110=>[1,3,1,1,2] [7,3,8,4,1,5,6,2]=>1011001=>[1,2,1,3,1] [7,2,4,5,1,8,3,6]=>1001010=>[1,3,2,2] [7,3,1,2,8,5,6,4]=>1100101=>[1,1,3,2,1] [4,8,2,3,5,7,6,1]=>0100011=>[2,4,1,1] [4,5,2,3,8,6,7,1]=>0100101=>[2,3,2,1] [6,7,4,8,5,3,2,1]=>0101111=>[2,2,1,1,1,1] [4,3,5,6,1,7,8,2]=>1001001=>[1,3,3,1] [3,5,2,6,4,7,8,1]=>0101001=>[2,2,3,1] [4,1,2,8,5,7,6,3]=>1001011=>[1,3,2,1,1] [3,1,5,6,4,7,8,2]=>1001001=>[1,3,3,1] [3,1,4,6,7,5,8,2]=>1000101=>[1,4,2,1] [2,6,4,5,8,1,3,7]=>0100100=>[2,3,3] [6,4,1,3,5,8,2,7]=>1100010=>[1,1,4,2] [3,4,1,7,2,6,8,5]=>0101001=>[2,2,3,1] [2,4,7,5,8,1,3,6]=>0010100=>[3,2,3] [3,7,6,2,1,5,8,4]=>0111001=>[2,1,1,3,1] [4,2,6,1,3,7,8,5]=>1010001=>[1,2,4,1] [8,5,4,2,7,6,3,1]=>1110111=>[1,1,1,2,1,1,1] [2,8,4,6,7,1,3,5]=>0100100=>[2,3,3] [5,8,2,1,4,6,7,3]=>0110001=>[2,1,4,1] [8,4,6,1,2,5,7,3]=>1010001=>[1,2,4,1] [3,7,8,4,2,6,5,1]=>0011011=>[3,1,2,1,1] [5,6,2,8,7,1,3,4]=>0101100=>[2,2,1,3] [7,1,3,8,4,5,6,2]=>1001001=>[1,3,3,1] [7,8,1,4,3,5,6,2]=>0101001=>[2,2,3,1] [3,6,7,2,8,1,5,4]=>0010101=>[3,2,2,1] [2,6,7,1,3,5,8,4]=>0010001=>[3,4,1] [3,6,7,1,8,2,5,4]=>0010101=>[3,2,2,1] [3,4,1,8,7,2,6,5]=>0101101=>[2,2,1,2,1] [3,1,5,7,2,8,6,4]=>1001011=>[1,3,2,1,1] [4,8,1,3,2,7,6,5]=>0101011=>[2,2,2,1,1] [4,1,8,3,2,7,6,5]=>1011011=>[1,2,1,2,1,1] [3,8,2,4,7,1,6,5]=>0100101=>[2,3,2,1] [3,2,4,8,7,1,6,5]=>1001101=>[1,3,1,2,1] [3,2,5,7,1,8,6,4]=>1001011=>[1,3,2,1,1] [4,2,8,3,1,7,6,5]=>1011011=>[1,2,1,2,1,1] [4,8,2,1,3,7,6,5]=>0110011=>[2,1,3,1,1] [4,2,8,1,3,7,6,5]=>1010011=>[1,2,3,1,1] [2,3,4,6,8,7,1,5]=>0000110=>[5,1,2] [5,6,4,7,1,2,8,3]=>0101001=>[2,2,3,1] [4,6,7,5,8,2,3,1]=>0010101=>[3,2,2,1] [4,5,7,1,6,8,3,2]=>0010011=>[3,3,1,1] [3,2,7,6,8,1,4,5]=>1010100=>[1,2,2,3] [4,5,1,7,6,8,2,3]=>0101010=>[2,2,2,2] [6,7,2,8,3,1,4,5]=>0101100=>[2,2,1,3] [7,6,3,1,2,8,4,5]=>1110010=>[1,1,1,3,2] [6,2,7,8,4,1,3,5]=>1001100=>[1,3,1,3] [7,8,5,2,4,1,3,6]=>0110100=>[2,1,2,3] [7,6,2,3,1,8,4,5]=>1101010=>[1,1,2,2,2] [4,2,5,1,3,7,8,6]=>1010001=>[1,2,4,1] [3,5,1,4,2,7,8,6]=>0101001=>[2,2,3,1] [3,4,1,7,8,5,2,6]=>0100110=>[2,3,1,2] [4,1,3,7,8,5,2,6]=>1000110=>[1,4,1,2] [4,3,1,8,5,2,7,6]=>1101101=>[1,1,2,1,2,1] [3,1,8,5,4,2,7,6]=>1011101=>[1,2,1,1,2,1] [7,6,3,5,8,4,2,1]=>1100111=>[1,1,3,1,1,1] [4,5,1,3,2,7,8,6]=>0101001=>[2,2,3,1] [5,1,3,2,4,7,8,6]=>1010001=>[1,2,4,1] [8,3,5,6,1,7,2,4]=>1001010=>[1,3,2,2] [4,5,8,1,2,6,7,3]=>0010001=>[3,4,1] [5,3,6,7,8,2,1,4]=>1000110=>[1,4,1,2] [1,3,4,8,6,2,7,5]=>0001101=>[4,1,2,1] [7,2,4,1,3,8,5,6]=>1010010=>[1,2,3,2] [3,8,2,5,4,1,6,7]=>0101100=>[2,2,1,3] [8,4,5,2,6,1,7,3]=>1010101=>[1,2,2,2,1] [4,6,8,2,3,7,5,1]=>0010011=>[3,3,1,1] [4,5,7,2,3,6,1,8]=>0010010=>[3,3,2] [2,7,3,4,1,5,6,8]=>0101000=>[2,2,4] [6,7,2,3,4,8,1,5]=>0100010=>[2,4,2] [3,5,2,4,6,7,8,1]=>0100001=>[2,5,1] [4,2,6,3,5,7,8,1]=>1010001=>[1,2,4,1] [2,3,4,5,6,1,8,7,9]=>00001010=>[5,2,2] [2,3,4,5,1,7,6,8,9]=>00010100=>[4,2,3] [2,3,4,1,6,5,7,8,9]=>00101000=>[3,2,4] [2,3,1,5,4,6,7,8,9]=>01010000=>[2,2,5] [1,4,8,5,6,2,7,3]=>0010101=>[3,2,2,1] [2,4,8,5,6,1,7,3]=>0010101=>[3,2,2,1] [6,3,5,8,4,7,1,2]=>1001010=>[1,3,2,2] [2,8,7,4,5,1,6,3]=>0110101=>[2,1,2,2,1] [1,3,8,5,2,6,7,4]=>0011001=>[3,1,3,1] [7,2,8,4,5,1,6,3]=>1010101=>[1,2,2,2,1] [6,2,3,5,1,7,8,4]=>1001001=>[1,3,3,1] [8,6,2,4,1,5,7,3]=>1101001=>[1,1,2,3,1] [1,6,4,3,2,7,8,5]=>0111001=>[2,1,1,3,1] [8,5,3,2,1,6,7,4]=>1111001=>[1,1,1,1,3,1] [1,7,5,2,3,6,8,4]=>0110001=>[2,1,4,1] [7,1,5,2,3,6,8,4]=>1010001=>[1,2,4,1] [8,1,2,5,3,6,7,4]=>1001001=>[1,3,3,1] [8,4,1,6,3,7,2,5]=>1101010=>[1,1,2,2,2] [6,7,5,3,8,2,1,4]=>0110110=>[2,1,2,1,2] [5,2,6,8,3,7,1,4]=>1001010=>[1,3,2,2] [4,2,5,8,6,7,1,3]=>1001010=>[1,3,2,2] [5,8,6,3,4,1,7,2]=>0110101=>[2,1,2,2,1] [3,7,2,4,1,8,6,5]=>0101011=>[2,2,2,1,1] [2,4,7,8,5,1,3,6]=>0001100=>[4,1,3] [2,5,3,8,4,1,6,7]=>0101100=>[2,2,1,3] [5,7,6,8,1,3,4,2]=>0101001=>[2,2,3,1] [3,1,7,4,5,6,2,8]=>1010010=>[1,2,3,2] [2,4,8,3,5,7,1,6]=>0010010=>[3,3,2] [8,1,7,2,4,3,5,6]=>1010100=>[1,2,2,3] [1,3,8,2,4,7,5,6]=>0010010=>[3,3,2] [1,3,7,2,4,6,5,8]=>0010010=>[3,3,2] [1,7,3,2,4,6,5,8]=>0110010=>[2,1,3,2] [1,8,3,7,4,2,5,6]=>0101100=>[2,2,1,3] [8,7,3,1,4,2,5,6]=>1110100=>[1,1,1,2,3] [2,8,4,3,5,7,1,6]=>0110010=>[2,1,3,2] [3,2,8,7,4,1,5,6]=>1011100=>[1,2,1,1,3] [3,2,1,7,4,6,5,8]=>1101010=>[1,1,2,2,2] [3,2,6,5,1,7,8,4]=>1011001=>[1,2,1,3,1] [5,3,2,6,7,1,8,4]=>1100101=>[1,1,3,2,1] [3,2,8,6,7,4,1,5]=>1010110=>[1,2,2,1,2] [8,4,6,2,7,3,1,5]=>1010110=>[1,2,2,1,2] [4,3,8,6,7,2,1,5]=>1010110=>[1,2,2,1,2] [4,3,6,2,8,7,1,5]=>1010110=>[1,2,2,1,2] [3,8,4,7,6,5,1,2]=>0101110=>[2,2,1,1,2] [7,8,4,2,6,3,5,1]=>0110101=>[2,1,2,2,1] [3,2,7,8,6,4,5,1]=>1001101=>[1,3,1,2,1] [3,2,7,5,6,8,4,1]=>1010011=>[1,2,3,1,1] [5,7,8,6,3,2,4,1]=>0011101=>[3,1,1,2,1] [6,5,4,2,1,7,8,3]=>1111001=>[1,1,1,1,3,1] [5,4,2,1,7,6,3,8]=>1110110=>[1,1,1,2,1,2] [4,1,6,5,2,7,8,3]=>1011001=>[1,2,1,3,1] [5,4,1,6,7,2,8,3]=>1100101=>[1,1,3,2,1] [6,8,5,3,1,7,2,4]=>0111010=>[2,1,1,2,2] [5,2,6,3,8,7,1,4]=>1010110=>[1,2,2,1,2] [8,6,1,7,3,4,2,5]=>1101010=>[1,1,2,2,2] [1,8,3,6,7,4,2,5]=>0100110=>[2,3,1,2] [1,6,3,5,2,7,8,4]=>0101001=>[2,2,3,1] [1,5,7,3,2,6,4,8]=>0011010=>[3,1,2,2] [5,1,3,7,2,6,4,8]=>1001010=>[1,3,2,2] [8,1,6,7,2,4,3,5]=>1001010=>[1,3,2,2] [6,1,4,8,2,7,3,5]=>1001010=>[1,3,2,2] [6,2,4,8,3,7,1,5]=>1001010=>[1,3,2,2] [8,7,2,6,3,5,1,4]=>1101010=>[1,1,2,2,2] [8,1,7,6,5,2,3,4]=>1011100=>[1,2,1,1,3] [7,1,5,6,8,2,4,3]=>1000101=>[1,4,2,1] [6,7,1,5,2,4,8,3]=>0101001=>[2,2,3,1] [7,6,1,5,2,4,3,8]=>1101010=>[1,1,2,2,2] [7,1,6,3,5,4,2,8]=>1010110=>[1,2,2,1,2] [1,6,7,3,5,4,8,2]=>0010101=>[3,2,2,1] [1,7,3,5,6,8,4,2]=>0100011=>[2,4,1,1] [1,7,8,3,6,4,5,2]=>0010101=>[3,2,2,1] [1,8,7,6,4,5,2,3]=>0111010=>[2,1,1,2,2] [8,2,7,4,6,5,1,3]=>1010110=>[1,2,2,1,2] [2,8,5,7,6,4,1,3]=>0101110=>[2,2,1,1,2] [7,4,5,1,6,8,3,2]=>1010011=>[1,2,3,1,1] [4,1,7,5,6,8,3,2]=>1010011=>[1,2,3,1,1] [5,6,7,4,3,1,8,2]=>0011101=>[3,1,1,2,1] [6,7,8,5,3,1,4,2]=>0011101=>[3,1,1,2,1] [1,4,6,2,5,3,7,8]=>0010100=>[3,2,3] [1,6,3,2,5,4,7,8]=>0110100=>[2,1,2,3] [1,6,8,2,5,4,7,3]=>0010101=>[3,2,2,1] [1,5,4,2,6,3,7,8]=>0110100=>[2,1,2,3] [1,2,6,4,3,5,7,8]=>0011000=>[3,1,4] [1,6,8,2,7,5,4,3]=>0010111=>[3,2,1,1,1] [1,7,4,3,2,6,8,5]=>0111001=>[2,1,1,3,1] [1,5,4,7,2,6,8,3]=>0101001=>[2,2,3,1] [1,3,7,6,2,8,5,4]=>0011011=>[3,1,2,1,1] [1,7,6,2,8,4,3,5]=>0110110=>[2,1,2,1,2] [1,5,2,8,4,3,7,6]=>0101101=>[2,2,1,2,1] [1,2,8,4,3,6,5,7]=>0011010=>[3,1,2,2] [1,2,8,5,6,3,4,7]=>0010100=>[3,2,3] [1,7,3,5,2,8,6,4]=>0101011=>[2,2,2,1,1] [1,6,7,2,5,8,4,3]=>0010011=>[3,3,1,1] [1,5,8,3,2,7,4,6]=>0011010=>[3,1,2,2] [1,4,5,8,2,6,3,7]=>0001010=>[4,2,2] [1,7,6,4,8,2,5,3]=>0110101=>[2,1,2,2,1] [1,4,8,6,5,2,7,3]=>0011101=>[3,1,1,2,1] [1,3,8,2,6,5,4,7]=>0010110=>[3,2,1,2] [1,7,6,3,8,2,4,5]=>0110100=>[2,1,2,3] [1,5,2,7,6,4,8,3]=>0101101=>[2,2,1,2,1] [1,2,4,3,8,7,5,6]=>0010110=>[3,2,1,2] [1,4,3,8,7,2,5,6]=>0101100=>[2,2,1,3] [1,3,8,6,2,4,5,7]=>0011000=>[3,1,4] [1,3,8,5,4,2,6,7]=>0011100=>[3,1,1,3] [1,7,2,4,8,6,5,3]=>0100111=>[2,3,1,1,1] [1,6,5,3,2,8,7,4]=>0111011=>[2,1,1,2,1,1] [1,3,2,8,7,5,4,6]=>0101110=>[2,2,1,1,2] [1,2,8,6,5,4,3,7]=>0011110=>[3,1,1,1,2] [8,1,3,4,6,5,2,7]=>1000110=>[1,4,1,2] [8,3,1,4,6,5,2,7]=>1100110=>[1,1,3,1,2] [5,8,3,1,2,6,4,7]=>0110010=>[2,1,3,2] [4,8,1,7,5,2,3,6]=>0101100=>[2,2,1,3] [4,8,1,7,5,2,6,3]=>0101101=>[2,2,1,2,1] [8,5,1,4,2,6,3,7]=>1101010=>[1,1,2,2,2] [8,4,1,3,5,6,2,7]=>1100010=>[1,1,4,2] [8,5,3,2,1,6,4,7]=>1111010=>[1,1,1,1,2,2] [8,1,5,4,2,6,3,7]=>1011010=>[1,2,1,2,2] [8,5,2,4,1,6,3,7]=>1101010=>[1,1,2,2,2] [4,8,7,1,5,2,6,3]=>0110101=>[2,1,2,2,1] [4,8,7,1,5,2,3,6]=>0110100=>[2,1,2,3] [7,6,8,4,1,3,2,5]=>1011010=>[1,2,1,2,2] [7,6,8,4,1,3,5,2]=>1011001=>[1,2,1,3,1] [3,8,7,5,4,1,2,6]=>0111100=>[2,1,1,1,3] [4,8,2,7,5,1,3,6]=>0101100=>[2,2,1,3] [7,6,8,4,1,5,2,3]=>1011010=>[1,2,1,2,2] [8,7,6,1,5,2,3,4]=>1110100=>[1,1,1,2,3] [7,1,4,8,6,3,5,2]=>1001101=>[1,3,1,2,1] [8,1,6,5,3,4,7,2]=>1011001=>[1,2,1,3,1] [8,6,2,5,3,4,7,1]=>1101001=>[1,1,2,3,1] [8,6,5,1,3,4,7,2]=>1110001=>[1,1,1,4,1] [8,7,5,1,3,6,2,4]=>1110010=>[1,1,1,3,2] [8,7,1,5,3,6,2,4]=>1101010=>[1,1,2,2,2] [8,6,1,3,5,4,7,2]=>1100101=>[1,1,3,2,1] [7,1,4,8,3,6,5,2]=>1001011=>[1,3,2,1,1] [7,8,5,2,4,3,6,1]=>0110101=>[2,1,2,2,1] [7,3,8,2,5,4,6,1]=>1010101=>[1,2,2,2,1] [8,4,2,5,3,7,6,1]=>1101011=>[1,1,2,2,1,1] [4,8,1,5,3,7,6,2]=>0101011=>[2,2,2,1,1] [7,4,8,2,6,3,5,1]=>1010101=>[1,2,2,2,1] [7,4,8,2,6,3,1,5]=>1010110=>[1,2,2,1,2] [8,7,3,1,6,4,2,5]=>1110110=>[1,1,1,2,1,2] [8,7,3,1,6,4,5,2]=>1110101=>[1,1,1,2,2,1] [8,7,3,1,4,6,5,2]=>1110011=>[1,1,1,3,1,1] [8,4,3,2,7,5,6,1]=>1110101=>[1,1,1,2,2,1] [6,4,1,7,8,5,3,2]=>1100111=>[1,1,3,1,1,1] [7,6,3,4,1,8,5,2]=>1101011=>[1,1,2,2,1,1] [8,7,3,1,6,2,5,4]=>1110101=>[1,1,1,2,2,1] [7,8,6,4,2,5,1,3]=>0111010=>[2,1,1,2,2] [7,8,2,4,6,5,1,3]=>0100110=>[2,3,1,2] [8,1,7,3,5,6,2,4]=>1010010=>[1,2,3,2] [8,7,5,2,4,6,1,3]=>1110010=>[1,1,1,3,2] [8,1,7,5,4,6,2,3]=>1011010=>[1,2,1,2,2] [8,7,3,2,6,1,5,4]=>1110101=>[1,1,1,2,2,1] [5,3,1,7,6,4,2,8]=>1101110=>[1,1,2,1,1,2] [1,8,6,4,2,9,7,5,3]=>01110111=>[2,1,1,2,1,1,1] [9,7,5,3,1,8,6,4,2,10]=>111101110=>[1,1,1,1,2,1,1,2] [8,6,4,2,1,7,5,3,9]=>11110110=>[1,1,1,1,2,1,2] [8,7,5,3,1,6,4,2,9]=>11110110=>[1,1,1,1,2,1,2] [7,5,3,2,1,6,4,8]=>1111010=>[1,1,1,1,2,2] [7,6,5,3,1,4,2,8]=>1111010=>[1,1,1,1,2,2] [1,8,6,4,3,2,7,5]=>0111101=>[2,1,1,1,2,1] [1,9,7,5,3,2,8,6,4]=>01111011=>[2,1,1,1,2,1,1] [1,8,7,6,4,2,5,3]=>0111101=>[2,1,1,1,2,1] [1,9,8,6,4,2,7,5,3]=>01111011=>[2,1,1,1,2,1,1] [1,10,8,6,4,2,9,7,5,3]=>011110111=>[2,1,1,1,2,1,1,1] [8,4,6,7,5,3,2,1]=>1001111=>[1,3,1,1,1,1] [1,4,8,6,7,5,3,2]=>0010111=>[3,2,1,1,1] [7,6,2,5,8,4,3,1]=>1100111=>[1,1,3,1,1,1] [1,7,3,6,8,5,4,2]=>0100111=>[2,3,1,1,1] [8,6,2,5,7,4,3,1]=>1100111=>[1,1,3,1,1,1] [7,1,3,6,8,5,4,2]=>1000111=>[1,4,1,1,1] [1,8,3,6,7,5,4,2]=>0100111=>[2,3,1,1,1] [8,1,7,6,4,5,3,2]=>1011011=>[1,2,1,2,1,1] [7,1,8,6,4,5,3,2]=>1011011=>[1,2,1,2,1,1] [1,6,2,7,4,5,3,8]=>0101010=>[2,2,2,2] [1,8,2,6,4,3,5,7]=>0101100=>[2,2,1,3] [1,7,2,6,4,3,5,8]=>0101100=>[2,2,1,3] [1,7,2,5,4,6,3,8]=>0101010=>[2,2,2,2] [6,5,7,2,8,3,4,1]=>1010101=>[1,2,2,2,1] [6,2,7,5,8,1,4,3]=>1010101=>[1,2,2,2,1] [6,7,2,5,8,1,4,3]=>0100101=>[2,3,2,1] [6,5,7,3,8,1,4,2]=>1010101=>[1,2,2,2,1] [6,3,7,4,8,2,5,1]=>1010101=>[1,2,2,2,1] [6,3,7,4,8,1,5,2]=>1010101=>[1,2,2,2,1] [8,7,6,4,2,5,3,1]=>1111011=>[1,1,1,1,2,1,1] [8,7,4,6,2,3,5,1]=>1101001=>[1,1,2,3,1] [6,8,4,5,7,3,2,1]=>0100111=>[2,3,1,1,1] [6,7,5,1,4,3,8,2]=>0110101=>[2,1,2,2,1] [7,8,5,1,4,3,6,2]=>0110101=>[2,1,2,2,1] [2,7,6,8,3,5,1,4]=>0101010=>[2,2,2,2] [7,2,1,5,3,8,6,4]=>1101011=>[1,1,2,2,1,1] [5,8,2,7,6,1,3,4]=>0101100=>[2,2,1,3] [5,1,8,7,3,4,2,6]=>1011010=>[1,2,1,2,2] [8,2,3,6,7,1,4,5]=>1000100=>[1,4,3] [4,2,3,1,5,8,6,7]=>1010010=>[1,2,3,2] [6,3,5,1,2,4,7,8,9]=>10100000=>[1,2,6] [8,6,5,4,3,2,1,7,9]=>11111100=>[1,1,1,1,1,1,3] [3,1,2,4,5,6,7,8,9,10]=>100000000=>[1,9] [6,3,5,1,2,4,7,8,9,10]=>101000000=>[1,2,7] [9,7,6,5,4,3,2,1,8,10]=>111111100=>[1,1,1,1,1,1,1,3] [10,8,6,9,4,7,2,5,1,3]=>110101010=>[1,1,2,2,2,2] [2,4,8,7,5,3,1,6]=>0011110=>[3,1,1,1,2] [2,6,8,7,5,3,4,1]=>0011101=>[3,1,1,2,1] [2,6,5,1,4,3,8,7]=>0110101=>[2,1,2,2,1] [6,5,1,2,4,3,8,7]=>1100101=>[1,1,3,2,1] [4,6,5,3,1,2,8,7]=>0111001=>[2,1,1,3,1] [4,8,7,5,3,1,2,6]=>0111100=>[2,1,1,1,3] [4,6,8,7,5,3,1,2]=>0011110=>[3,1,1,1,2] [6,8,7,5,3,1,4,2]=>0111101=>[2,1,1,1,2,1] [8,7,5,6,3,1,4,2]=>1101101=>[1,1,2,1,2,1] [8,7,3,4,6,5,1,2]=>1100110=>[1,1,3,1,2] [2,1,4,8,7,3,6,5]=>1001101=>[1,3,1,2,1] [4,8,7,3,1,2,6,5]=>0111001=>[2,1,1,3,1] [8,7,3,4,1,2,6,5]=>1101001=>[1,1,2,3,1] [8,7,3,1,6,5,2,4]=>1110110=>[1,1,1,2,1,2] [8,7,3,2,6,5,1,4]=>1110110=>[1,1,1,2,1,2] [2,8,7,3,4,6,5,1]=>0110011=>[2,1,3,1,1] [2,8,7,3,6,5,1,4]=>0110110=>[2,1,2,1,2] [2,8,7,1,6,5,3,4]=>0110110=>[2,1,2,1,2] [8,7,1,2,6,5,3,4]=>1100110=>[1,1,3,1,2] [8,7,1,2,4,3,6,5]=>1100101=>[1,1,3,2,1] [2,1,8,7,3,4,6,5]=>1011001=>[1,2,1,3,1] [8,7,5,1,2,4,3,6]=>1110010=>[1,1,1,3,2] [2,8,7,1,4,3,6,5]=>0110101=>[2,1,2,2,1] [2,8,7,3,4,1,6,5]=>0110101=>[2,1,2,2,1] [2,8,7,5,6,3,4,1]=>0110101=>[2,1,2,2,1] [2,4,8,7,3,1,6,5]=>0011101=>[3,1,1,2,1] [2,8,7,3,1,4,6,5]=>0111001=>[2,1,1,3,1] [2,4,3,1,8,7,5,6]=>0110110=>[2,1,2,1,2] [4,3,1,2,6,8,7,5]=>1100011=>[1,1,4,1,1] [2,8,7,5,6,3,1,4]=>0110110=>[2,1,2,1,2] [2,8,7,5,3,1,6,4]=>0111101=>[2,1,1,1,2,1] [2,8,7,5,3,6,4,1]=>0111011=>[2,1,1,2,1,1] [2,8,7,5,6,1,4,3]=>0110101=>[2,1,2,2,1] [2,6,8,7,5,1,4,3]=>0011101=>[3,1,1,2,1] [6,8,7,5,1,2,4,3]=>0111001=>[2,1,1,3,1] [8,7,5,6,1,2,4,3]=>1101001=>[1,1,2,3,1] [8,7,1,2,4,6,5,3]=>1100011=>[1,1,4,1,1] [2,4,8,7,3,6,5,1]=>0011011=>[3,1,2,1,1] [8,7,2,4,3,6,5,1]=>1101011=>[1,1,2,2,1,1] [4,8,7,1,2,6,5,3]=>0110011=>[2,1,3,1,1] [8,7,5,3,1,2,6,4]=>1111001=>[1,1,1,1,3,1] [8,7,5,3,6,4,1,2]=>1110110=>[1,1,1,2,1,2] [8,7,1,4,3,6,5,2]=>1101011=>[1,1,2,2,1,1] [8,7,3,4,1,6,5,2]=>1101011=>[1,1,2,2,1,1] [11,2,3,4,5,6,7,8,9,10,1]=>1000000001=>[1,9,1] [10,3,2,4,5,6,7,8,9,1]=>110000001=>[1,1,7,1] [9,4,3,2,5,6,7,8,1]=>11100001=>[1,1,1,5,1] [8,1,2,3,4,5,7,6,9]=>10000010=>[1,6,2] [7,1,2,3,5,4,6,8]=>1000100=>[1,4,3] [1,9,2,3,4,5,6,8,7]=>01000001=>[2,6,1] [9,1,2,3,4,5,6,8,7,10]=>100000010=>[1,7,2] [8,1,2,3,4,7,6,5,9]=>10000110=>[1,5,1,2] [8,1,2,3,4,6,5,7,9]=>10000100=>[1,5,3] [7,1,2,6,4,5,3,8]=>1001010=>[1,3,2,2] [7,1,2,4,3,5,6,8]=>1001000=>[1,3,4] [1,9,2,3,4,5,8,7,6]=>01000011=>[2,5,1,1] [1,9,2,3,4,5,7,6,8]=>01000010=>[2,5,2] [1,10,2,3,4,5,6,7,9,8]=>010000001=>[2,7,1] [4,7,3,6,5,1,2,8]=>0101100=>[2,2,1,3] [7,5,4,2,8,3,1,6]=>1110110=>[1,1,1,2,1,2] [8,3,6,1,5,2,4,7]=>1010100=>[1,2,2,3] [3,1,6,8,5,7,2,4]=>1001010=>[1,3,2,2] [5,7,2,1,8,4,6,3]=>0110101=>[2,1,2,2,1] [7,2,8,6,4,3,1,5]=>1011110=>[1,2,1,1,1,2] [6,3,8,7,4,2,1,5]=>1011110=>[1,2,1,1,1,2] [7,6,3,2,8,4,1,5]=>1110110=>[1,1,1,2,1,2] [8,6,1,3,2,4,5,7]=>1101000=>[1,1,2,4] [5,8,3,7,4,2,1,6]=>0101110=>[2,2,1,1,2] [4,1,7,3,5,8,6,2]=>1010011=>[1,2,3,1,1] [8,4,7,3,5,2,1,6]=>1010110=>[1,2,2,1,2] [5,4,8,1,3,2,6,7]=>1010100=>[1,2,2,3] [4,5,8,2,1,3,6,7]=>0011000=>[3,1,4] [8,1,3,5,2,4,6,7]=>1001000=>[1,3,4] [1,8,3,5,7,2,4,6]=>0100100=>[2,3,3] [1,7,3,8,6,2,4,5]=>0101100=>[2,2,1,3] [8,6,2,1,3,7,5,4]=>1110011=>[1,1,1,3,1,1] [8,1,4,2,7,6,3,5]=>1010110=>[1,2,2,1,2] [1,3,4,5,6,7,8,2,9]=>00000010=>[7,2] [1,3,4,5,6,7,8,10,2,9]=>000000010=>[8,2] [2,1,4,5,6,7,9,3,8]=>10000010=>[1,6,2] [2,1,4,5,6,7,8,3,9]=>10000010=>[1,6,2] [1,3,4,5,6,7,8,9,2,10]=>000000010=>[8,2] [1,5,7,3,6,8,2,4]=>0010010=>[3,3,2] [8,4,6,2,5,7,1,3]=>1010010=>[1,2,3,2] [1,3,4,7,6,8,2,5]=>0001010=>[4,2,2] [8,1,3,6,7,4,2,5]=>1000110=>[1,4,1,2] [1,2,4,7,8,5,3,6]=>0000110=>[5,1,2] [3,1,4,7,6,8,2,5]=>1001010=>[1,3,2,2] [4,1,3,7,6,8,2,5]=>1001010=>[1,3,2,2] [5,1,7,3,6,8,2,4]=>1010010=>[1,2,3,2] [6,7,8,2,4,5,1,3]=>0010010=>[3,3,2] [5,8,6,2,4,7,1,3]=>0110010=>[2,1,3,2] [3,8,2,6,5,7,1,4]=>0101010=>[2,2,2,2] [2,8,3,6,7,4,1,5]=>0100110=>[2,3,1,2] [8,7,2,5,6,3,1,4]=>1100110=>[1,1,3,1,2] [8,7,1,6,4,3,2,5]=>1101110=>[1,1,2,1,1,2] [1,8,2,7,5,4,3,6]=>0101110=>[2,2,1,1,2] [3,8,1,7,5,4,2,6]=>0101110=>[2,2,1,1,2] [5,8,6,1,7,3,2,4]=>0110110=>[2,1,2,1,2] [6,7,1,2,8,4,3,5]=>0100110=>[2,3,1,2] [2,1,3,8,6,5,4,7]=>1001110=>[1,3,1,1,2] [8,2,1,7,5,4,3,6]=>1101110=>[1,1,2,1,1,2] [1,3,2,8,6,5,4,7]=>0101110=>[2,2,1,1,2] [3,4,1,7,6,8,2,5]=>0101010=>[2,2,2,2] [2,5,7,1,8,4,3,6]=>0010110=>[3,2,1,2] [3,5,7,1,6,8,2,4]=>0010010=>[3,3,2] [4,5,7,6,1,8,2,3]=>0011010=>[3,1,2,2] [5,4,7,6,8,3,1,2]=>1010110=>[1,2,2,1,2] [1,5,7,8,6,3,2,4]=>0001110=>[4,1,1,2] [8,4,6,7,5,2,1,3]=>1001110=>[1,3,1,1,2] [8,3,7,5,6,2,1,4]=>1010110=>[1,2,2,1,2] [1,4,8,6,7,3,2,5]=>0010110=>[3,2,1,2] [2,4,8,6,7,3,1,5]=>0010110=>[3,2,1,2] [5,2,7,8,6,3,1,4]=>1001110=>[1,3,1,1,2] [2,3,8,7,5,4,1,6]=>0011110=>[3,1,1,1,2] [1,3,8,7,5,4,2,6]=>0011110=>[3,1,1,1,2] [8,2,7,6,4,3,1,5]=>1011110=>[1,2,1,1,1,2] [8,1,7,6,4,3,2,5]=>1011110=>[1,2,1,1,1,2] [4,1,8,6,7,3,2,5]=>1010110=>[1,2,2,1,2] [4,8,7,5,6,2,1,3]=>0110110=>[2,1,2,1,2] [5,6,8,1,7,4,3,2]=>0010111=>[3,2,1,1,1] [1,6,9,8,7,5,4,3,2]=>00111111=>[3,1,1,1,1,1,1] [1,4,9,8,7,6,5,3,2]=>00111111=>[3,1,1,1,1,1,1] [1,3,9,8,7,6,5,4,2]=>00111111=>[3,1,1,1,1,1,1] [8,7,1,9,6,5,4,3,2]=>11011111=>[1,1,2,1,1,1,1,1] [1,8,10,9,7,6,5,4,3,2]=>001111111=>[3,1,1,1,1,1,1,1] [6,7,9,1,8,5,4,3,2]=>00101111=>[3,2,1,1,1,1] [1,7,10,9,8,6,5,4,3,2]=>001111111=>[3,1,1,1,1,1,1,1] [5,6,9,8,1,7,4,3,2]=>00110111=>[3,1,2,1,1,1] [4,1,8,7,3,6,5,2]=>1011011=>[1,2,1,2,1,1] [5,6,8,4,1,7,3,2]=>0011011=>[3,1,2,1,1] [5,4,9,8,7,1,6,3,2]=>10111011=>[1,2,1,1,2,1,1] [1,5,10,9,8,7,6,4,3,2]=>001111111=>[3,1,1,1,1,1,1,1] [4,5,8,7,3,1,6,2]=>0011101=>[3,1,1,2,1] [3,4,9,8,7,6,1,5,2]=>00111101=>[3,1,1,1,2,1] [1,4,10,9,8,7,6,5,3,2]=>001111111=>[3,1,1,1,1,1,1,1] [2,3,9,8,7,6,5,1,4]=>00111110=>[3,1,1,1,1,2] [9,8,1,10,7,6,5,4,3,2]=>110111111=>[1,1,2,1,1,1,1,1,1] [1,9,11,10,8,7,6,5,4,3,2]=>0011111111=>[3,1,1,1,1,1,1,1,1] [1,7,6,9,8,5,4,3,2]=>01011111=>[2,2,1,1,1,1,1] [7,8,10,1,9,6,5,4,3,2]=>001011111=>[3,2,1,1,1,1,1] [1,8,11,10,9,7,6,5,4,3,2]=>0011111111=>[3,1,1,1,1,1,1,1,1] [1,6,9,5,8,7,4,3,2]=>00101111=>[3,2,1,1,1,1] [8,7,6,1,9,5,4,3,2]=>11101111=>[1,1,1,2,1,1,1,1] [6,7,10,9,1,8,5,4,3,2]=>001101111=>[3,1,2,1,1,1,1] [7,1,11,10,9,8,6,5,4,3,2]=>1011111111=>[1,2,1,1,1,1,1,1,1,1] [3,1,8,4,7,6,5,2]=>1010111=>[1,2,2,1,1,1] [5,1,9,8,4,7,6,3,2]=>10110111=>[1,2,1,2,1,1,1] [6,7,9,5,1,8,4,3,2]=>00110111=>[3,1,2,1,1,1] [6,5,10,9,8,1,7,4,3,2]=>101110111=>[1,2,1,1,2,1,1,1] [1,6,11,10,9,8,7,5,4,3,2]=>0011111111=>[3,1,1,1,1,1,1,1,1] [1,4,9,8,7,3,6,5,2]=>00111011=>[3,1,1,2,1,1] [5,6,9,8,4,1,7,3,2]=>00111011=>[3,1,1,2,1,1] [4,5,10,9,8,7,1,6,3,2]=>001111011=>[3,1,1,1,2,1,1] [1,5,11,10,9,8,7,6,4,3,2]=>0011111111=>[3,1,1,1,1,1,1,1,1] [1,3,9,8,7,6,2,5,4]=>00111101=>[3,1,1,1,2,1] [1,5,8,4,3,7,6,2]=>0011011=>[3,1,2,1,1] [5,4,9,8,7,3,1,6,2]=>10111101=>[1,2,1,1,1,2,1] [3,4,10,9,8,7,6,1,5,2]=>001111101=>[3,1,1,1,1,2,1] [4,1,11,10,9,8,7,6,5,3,2]=>1011111111=>[1,2,1,1,1,1,1,1,1,1] [3,4,9,8,7,6,2,1,5]=>00111110=>[3,1,1,1,1,2] [3,2,10,9,8,7,6,5,1,4]=>101111110=>[1,2,1,1,1,1,1,2] [1,3,11,10,9,8,7,6,5,4,2]=>0011111111=>[3,1,1,1,1,1,1,1,1] [8,1,7,2,5,6,4,3]=>1010011=>[1,2,3,1,1] [8,1,3,5,2,7,6,4]=>1001011=>[1,3,2,1,1] [2,7,1,5,4,8,6,3]=>0101011=>[2,2,2,1,1] [8,6,2,4,3,7,5,1]=>1101011=>[1,1,2,2,1,1] [2,4,1,6,7,5,8,3]=>0100101=>[2,3,2,1] [8,1,4,5,6,3,7,2]=>1000101=>[1,4,2,1] [8,1,4,5,6,2,7,3]=>1000101=>[1,4,2,1] [8,1,4,7,6,2,5,3]=>1001101=>[1,3,1,2,1] [2,5,1,7,8,6,4,3]=>0100111=>[2,3,1,1,1] [3,5,6,2,8,7,4,1]=>0010111=>[3,2,1,1,1] [2,4,5,1,7,6,3,8]=>0010110=>[3,2,1,2] [7,3,1,5,6,4,2,8]=>1100110=>[1,1,3,1,2] [8,3,2,5,6,7,1,4]=>1100010=>[1,1,4,2] [8,4,5,3,7,6,2,1]=>1010111=>[1,2,2,1,1,1] [3,4,5,6,2,8,1,7]=>0001010=>[4,2,2] [3,7,4,2,8,5,1,6]=>0110110=>[2,1,2,1,2] [7,3,4,1,6,8,2,5]=>1010010=>[1,2,3,2] [2,6,3,1,4,7,5,8]=>0110010=>[2,1,3,2] [7,2,1,6,3,4,8,5]=>1101001=>[1,1,2,3,1] [7,3,4,1,6,5,8,2]=>1010101=>[1,2,2,2,1] [3,7,4,2,5,8,6,1]=>0110011=>[2,1,3,1,1] [2,3,5,1,4,8,7,6]=>0010011=>[3,3,1,1] [2,7,1,3,6,8,5,4]=>0100011=>[2,4,1,1] [2,7,1,3,8,4,6,5]=>0100101=>[2,3,2,1] [3,8,7,1,6,2,5,4]=>0110101=>[2,1,2,2,1] [3,8,7,1,4,5,2,6]=>0110010=>[2,1,3,2] [3,7,4,2,1,8,6,5]=>0111011=>[2,1,1,2,1,1] [4,8,5,7,2,6,3,1]=>0101011=>[2,2,2,1,1] [8,4,5,7,3,2,6,1]=>1001101=>[1,3,1,2,1] [8,3,7,2,4,1,5,6]=>1010100=>[1,2,2,3] [8,6,7,2,1,4,3,5]=>1011010=>[1,2,1,2,2] [8,3,7,5,1,2,6,4]=>1011001=>[1,2,1,3,1] [7,3,4,6,2,1,5,8]=>1001100=>[1,3,1,3] [3,7,4,6,1,5,2,8]=>0101010=>[2,2,2,2] [3,4,7,6,1,2,8,5]=>0011001=>[3,1,3,1] [4,5,8,7,6,1,3,2]=>0011101=>[3,1,1,2,1] [8,6,3,7,5,1,4,2]=>1101101=>[1,1,2,1,2,1] [8,7,3,5,6,1,4,2]=>1100101=>[1,1,3,2,1] [7,6,3,8,1,4,5,2]=>1101001=>[1,1,2,3,1] [8,5,2,7,6,1,3,4]=>1101100=>[1,1,2,1,3] [8,7,3,1,4,5,2,6]=>1110010=>[1,1,1,3,2] [8,4,2,5,1,6,7,3]=>1101001=>[1,1,2,3,1] [8,5,3,1,6,4,7,2]=>1110101=>[1,1,1,2,2,1] [8,7,3,1,4,5,6,2]=>1110001=>[1,1,1,4,1] [8,7,4,1,5,6,2,3]=>1110010=>[1,1,1,3,2] [8,6,4,1,7,5,2,3]=>1110110=>[1,1,1,2,1,2] [8,6,3,1,7,4,5,2]=>1110101=>[1,1,1,2,2,1] [8,5,3,1,6,7,4,2]=>1110011=>[1,1,1,3,1,1] [8,5,3,7,1,6,4,2]=>1101011=>[1,1,2,2,1,1] [7,6,3,8,1,4,2,5]=>1101010=>[1,1,2,2,2] [7,4,8,2,6,1,5,3]=>1010101=>[1,2,2,2,1] [6,4,7,3,1,5,2,8]=>1011010=>[1,2,1,2,2] [8,5,3,1,6,4,2,7]=>1110110=>[1,1,1,2,1,2] [8,7,4,1,5,2,3,6]=>1110100=>[1,1,1,2,3] [8,7,5,1,2,6,3,4]=>1110010=>[1,1,1,3,2] [8,6,4,1,2,7,5,3]=>1110011=>[1,1,1,3,1,1] [8,7,4,1,2,5,3,6]=>1110010=>[1,1,1,3,2] [8,7,5,1,2,3,6,4]=>1110001=>[1,1,1,4,1] [6,5,3,7,4,2,1,8]=>1101110=>[1,1,2,1,1,2] [1,6,3,8,4,2,5,7]=>0101100=>[2,2,1,3] [4,7,2,5,3,6,1,8]=>0101010=>[2,2,2,2] [1,8,3,4,5,2,6,7]=>0100100=>[2,3,3] [1,8,6,4,2,5,3,7]=>0111010=>[2,1,1,2,2] [8,2,6,4,1,5,7,3]=>1011001=>[1,2,1,3,1] [7,8,3,4,6,1,5,2]=>0100101=>[2,3,2,1] [4,8,7,5,3,1,6,2]=>0111101=>[2,1,1,1,2,1] [6,1,4,8,3,2,5,7]=>1001100=>[1,3,1,3] [4,1,8,5,3,2,6,7]=>1011100=>[1,2,1,1,3] [8,1,6,4,2,7,3,5]=>1011010=>[1,2,1,2,2] [3,1,7,4,2,5,8,6]=>1011001=>[1,2,1,3,1] [1,2,7,4,3,5,6,8]=>0011000=>[3,1,4] [6,1,8,5,2,4,3,7]=>1011010=>[1,2,1,2,2] [6,8,2,5,1,4,7,3]=>0101001=>[2,2,3,1] [4,5,2,1,6,8,7,3]=>0110011=>[2,1,3,1,1] [7,2,8,6,5,1,4,3]=>1011101=>[1,2,1,1,2,1] [7,4,8,6,1,5,3,2]=>1011011=>[1,2,1,2,1,1] [8,7,2,6,1,4,5,3]=>1101001=>[1,1,2,3,1] [1,7,8,6,2,4,3,5]=>0011010=>[3,1,2,2] [7,6,3,1,2,5,4,8]=>1110010=>[1,1,1,3,2] [8,5,3,1,2,4,7,6]=>1110001=>[1,1,1,4,1] [8,2,1,6,5,3,4,7]=>1101100=>[1,1,2,1,3] [3,8,1,5,6,2,4,7]=>0100100=>[2,3,3] [6,8,4,1,5,2,3,7]=>0110100=>[2,1,2,3] [3,2,8,1,6,4,5,7]=>1010100=>[1,2,2,3] [5,2,1,3,7,6,4,8]=>1100110=>[1,1,3,1,2] [5,4,1,2,8,3,7,6]=>1100101=>[1,1,3,2,1] [5,8,4,1,2,3,7,6]=>0110001=>[2,1,4,1] [7,1,2,5,3,4,6,8]=>1001000=>[1,3,4] [1,6,7,3,2,8,4,5]=>0011010=>[3,1,2,2] [1,8,6,3,2,7,4,5]=>0111010=>[2,1,1,2,2] [1,5,3,7,2,8,4,6]=>0101010=>[2,2,2,2] [1,4,6,2,8,5,3,7]=>0010110=>[3,2,1,2] [1,5,6,2,8,4,3,7]=>0010110=>[3,2,1,2] [2,4,6,3,1,7,5,8]=>0011010=>[3,1,2,2] [3,4,8,6,5,7,2,1]=>0011011=>[3,1,2,1,1] [1,2,5,7,4,3,6,8]=>0001100=>[4,1,3] [1,2,5,7,4,6,8,3]=>0001001=>[4,3,1] [3,5,8,6,1,7,2,4]=>0011010=>[3,1,2,2] [2,3,6,8,1,7,4,5]=>0001010=>[4,2,2] [2,3,7,1,8,6,4,5]=>0010110=>[3,2,1,2] [2,6,1,7,8,5,3,4]=>0100110=>[2,3,1,2] [2,4,8,5,6,7,1,3]=>0010010=>[3,3,2] [1,4,8,5,6,7,3,2]=>0010011=>[3,3,1,1] [4,8,3,1,6,5,7,2]=>0110101=>[2,1,2,2,1] [1,6,8,5,4,2,7,3]=>0011101=>[3,1,1,2,1] [6,5,8,4,2,1,7,3]=>1011101=>[1,2,1,1,2,1] [1,7,8,6,5,4,2,3]=>0011110=>[3,1,1,1,2] [6,8,7,4,5,1,3,2]=>0110101=>[2,1,2,2,1] [6,1,3,5,4,2,8,7]=>1001101=>[1,3,1,2,1] [3,6,4,2,5,1,8,7]=>0110101=>[2,1,2,2,1] [2,1,5,8,6,4,7,3]=>1001101=>[1,3,1,2,1] [4,2,8,5,6,3,7,1]=>1010101=>[1,2,2,2,1] [5,7,2,3,4,6,8,1]=>0100001=>[2,5,1] [1,8,7,3,2,5,6,4]=>0111001=>[2,1,1,3,1] [5,7,1,2,3,8,6,4]=>0100011=>[2,4,1,1] [7,8,6,2,4,1,5,3]=>0110101=>[2,1,2,2,1] [7,2,8,4,6,1,5,3]=>1010101=>[1,2,2,2,1] [7,4,6,2,8,1,5,3]=>1010101=>[1,2,2,2,1] [7,1,5,8,2,3,6,4]=>1001001=>[1,3,3,1] [7,6,4,8,2,1,5,3]=>1101101=>[1,1,2,1,2,1] [6,1,8,4,2,3,5,7]=>1011000=>[1,2,1,4] [7,3,6,2,1,8,5,4]=>1011011=>[1,2,1,2,1,1] [1,8,6,4,2,5,7,3]=>0111001=>[2,1,1,3,1] [5,6,2,1,8,4,7,3]=>0110101=>[2,1,2,2,1] [5,1,6,4,3,8,7,2]=>1011011=>[1,2,1,2,1,1] [5,4,6,8,1,3,7,2]=>1001001=>[1,3,3,1] [3,7,1,6,4,5,8,2]=>0101001=>[2,2,3,1] [3,5,2,1,4,6,7,8]=>0110000=>[2,1,5] [1,3,8,7,5,4,6,2]=>0011101=>[3,1,1,2,1] [9,3,4,2,5,6,7,8,1]=>10100001=>[1,2,5,1] [1,2,3,4,5,7,9,8,6]=>00000011=>[7,1,1] [1,2,3,4,6,7,9,8,5]=>00000011=>[7,1,1] [1,2,3,4,6,8,9,7,5]=>00000011=>[7,1,1] [1,2,3,4,6,9,8,7,5]=>00000111=>[6,1,1,1] [1,2,3,5,6,7,9,8,4]=>00000011=>[7,1,1] [1,2,3,5,6,8,9,7,4]=>00000011=>[7,1,1] [1,2,3,5,6,9,8,7,4]=>00000111=>[6,1,1,1] [1,2,3,5,7,9,8,6,4]=>00000111=>[6,1,1,1] [1,2,3,5,9,8,7,6,4]=>00001111=>[5,1,1,1,1] [1,2,4,5,7,8,9,6,3]=>00000011=>[7,1,1] [1,2,4,5,7,9,8,6,3]=>00000111=>[6,1,1,1] [1,2,4,5,9,8,7,6,3]=>00001111=>[5,1,1,1,1] [1,2,4,6,9,8,7,5,3]=>00001111=>[5,1,1,1,1] [1,2,4,9,8,7,6,5,3]=>00011111=>[4,1,1,1,1,1] [1,3,5,7,9,8,6,4,2]=>00001111=>[5,1,1,1,1] [1,3,5,9,8,7,6,4,2]=>00011111=>[4,1,1,1,1,1] [1,2,3,4,5,6,8,10,9,7]=>000000011=>[8,1,1] [1,2,3,4,5,7,8,10,9,6]=>000000011=>[8,1,1] [1,2,3,4,5,7,9,10,8,6]=>000000011=>[8,1,1] [1,2,3,4,5,7,10,9,8,6]=>000000111=>[7,1,1,1] [1,2,3,4,6,7,8,10,9,5]=>000000011=>[8,1,1] [1,2,3,4,6,7,9,10,8,5]=>000000011=>[8,1,1] [1,2,3,4,6,7,10,9,8,5]=>000000111=>[7,1,1,1] [1,2,3,4,6,8,10,9,7,5]=>000000111=>[7,1,1,1] [1,2,3,4,6,10,9,8,7,5]=>000001111=>[6,1,1,1,1] [1,2,3,5,6,7,9,10,8,4]=>000000011=>[8,1,1] [1,2,3,5,6,7,10,9,8,4]=>000000111=>[7,1,1,1] [1,2,3,5,6,8,9,10,7,4]=>000000011=>[8,1,1] [1,2,3,5,6,8,10,9,7,4]=>000000111=>[7,1,1,1] [1,2,3,5,6,10,9,8,7,4]=>000001111=>[6,1,1,1,1] [1,2,3,5,7,9,10,8,6,4]=>000000111=>[7,1,1,1] [1,2,3,5,7,10,9,8,6,4]=>000001111=>[6,1,1,1,1] [1,2,3,5,10,9,8,7,6,4]=>000011111=>[5,1,1,1,1,1] [1,2,4,5,7,8,10,9,6,3]=>000000111=>[7,1,1,1] [1,2,4,5,7,9,10,8,6,3]=>000000111=>[7,1,1,1] [1,2,4,5,7,10,9,8,6,3]=>000001111=>[6,1,1,1,1] [1,2,4,5,10,9,8,7,6,3]=>000011111=>[5,1,1,1,1,1] [1,2,4,6,10,9,8,7,5,3]=>000011111=>[5,1,1,1,1,1] [1,2,4,10,9,8,7,6,5,3]=>000111111=>[4,1,1,1,1,1,1] [1,3,5,7,9,10,8,6,4,2]=>000001111=>[6,1,1,1,1] [1,3,5,7,10,9,8,6,4,2]=>000011111=>[5,1,1,1,1,1] [1,3,5,10,9,8,7,6,4,2]=>000111111=>[4,1,1,1,1,1,1] [1,3,10,9,8,7,6,5,4,2]=>001111111=>[3,1,1,1,1,1,1,1] [6,7,3,4,8,5,1,2]=>0100110=>[2,3,1,2] [7,4,1,8,2,5,6,3]=>1101001=>[1,1,2,3,1] [3,1,7,2,5,6,8,4]=>1010001=>[1,2,4,1] [4,1,5,7,3,2,8,6]=>1001101=>[1,3,1,2,1] [6,4,1,7,2,8,5,3]=>1101011=>[1,1,2,2,1,1] [7,3,1,6,2,8,5,4]=>1101011=>[1,1,2,2,1,1] [4,8,2,5,3,1,6,7]=>0101100=>[2,2,1,3] [5,1,3,4,8,2,6,7]=>1000100=>[1,4,3] [6,1,4,5,7,8,2,3]=>1000010=>[1,5,2] [6,3,4,7,1,8,5,2]=>1001011=>[1,3,2,1,1] [7,1,3,4,5,6,8,2]=>1000001=>[1,6,1] [8,5,2,7,6,3,1,4]=>1101110=>[1,1,2,1,1,2] [1,8,3,5,6,2,7,4]=>0100101=>[2,3,2,1] [8,3,2,5,6,1,7,4]=>1100101=>[1,1,3,2,1] [4,2,5,1,6,8,7,3]=>1010011=>[1,2,3,1,1] [5,4,2,7,8,6,1,3]=>1100110=>[1,1,3,1,2] [6,8,7,2,1,3,4,5]=>0111000=>[2,1,1,4] [3,7,6,8,5,2,4,1]=>0101101=>[2,2,1,2,1] [1,7,8,5,2,6,3,4]=>0011010=>[3,1,2,2] [7,6,1,2,5,3,8,4]=>1100101=>[1,1,3,2,1] [5,8,7,2,6,3,4,1]=>0110101=>[2,1,2,2,1] [7,6,2,4,8,1,5,3]=>1100101=>[1,1,3,2,1] [1,5,7,3,8,6,2,4]=>0010110=>[3,2,1,2] [6,7,5,1,8,2,3,4]=>0110100=>[2,1,2,3] [7,6,1,2,4,3,8,5]=>1100101=>[1,1,3,2,1] [6,7,2,1,5,3,8,4]=>0110101=>[2,1,2,2,1] [4,3,2,8,7,1,6,5]=>1101101=>[1,1,2,1,2,1] [4,8,3,1,7,6,5,2]=>0110111=>[2,1,2,1,1,1] [5,3,8,7,1,6,4,2]=>1011011=>[1,2,1,2,1,1] [5,8,7,3,1,6,4,2]=>0111011=>[2,1,1,2,1,1] [5,3,8,2,1,7,6,4]=>1011011=>[1,2,1,2,1,1] [3,8,7,2,6,5,1,4]=>0110110=>[2,1,2,1,2] [7,4,1,8,6,5,3,2]=>1101111=>[1,1,2,1,1,1,1] [5,4,2,8,1,7,6,3]=>1101011=>[1,1,2,2,1,1] [5,8,4,2,1,7,6,3]=>0111011=>[2,1,1,2,1,1] [5,8,4,7,1,6,3,2]=>0101011=>[2,2,2,1,1] [5,4,8,3,1,7,6,2]=>1011011=>[1,2,1,2,1,1] [8,5,6,1,4,7,2,3]=>1010010=>[1,2,3,2] [6,7,4,1,2,5,8,3]=>0110001=>[2,1,4,1] [1,6,7,4,2,5,8,3]=>0011001=>[3,1,3,1] [3,6,7,5,8,1,2,4]=>0010100=>[3,2,3] [1,6,7,5,8,3,2,4]=>0010110=>[3,2,1,2] [3,8,6,5,7,4,1,2]=>0110110=>[2,1,2,1,2] [8,1,6,5,7,4,3,2]=>1010111=>[1,2,2,1,1,1] [5,2,1,6,8,4,7,3]=>1100101=>[1,1,3,2,1] [6,5,8,7,4,2,3,1]=>1011101=>[1,2,1,1,2,1] [6,8,5,7,4,2,1,3]=>0101110=>[2,2,1,1,2] [3,6,7,5,8,2,1,4]=>0010110=>[3,2,1,2] [4,7,5,3,8,1,2,6]=>0110100=>[2,1,2,3] [4,7,5,3,6,1,2,8]=>0110100=>[2,1,2,3] [4,7,5,3,1,6,2,8]=>0111010=>[2,1,1,2,2] [2,7,5,3,6,4,8,1]=>0110101=>[2,1,2,2,1] [2,7,5,6,3,8,4,1]=>0101011=>[2,2,2,1,1] [2,7,5,3,6,8,1,4]=>0110010=>[2,1,3,2] [8,7,5,3,1,4,6,2]=>1111001=>[1,1,1,1,3,1] [2,7,5,3,1,4,8,6]=>0111001=>[2,1,1,3,1] [2,7,5,3,4,8,6,1]=>0110011=>[2,1,3,1,1] [5,7,6,2,8,3,1,4]=>0110110=>[2,1,2,1,2] [5,1,6,3,2,4,8,7]=>1011001=>[1,2,1,3,1] [5,7,6,1,8,3,2,4]=>0110110=>[2,1,2,1,2] [3,8,7,2,1,5,4,6]=>0111010=>[2,1,1,2,2] [6,1,7,2,8,4,3,5]=>1010110=>[1,2,2,1,2] [4,8,5,6,7,3,1,2]=>0100110=>[2,3,1,2] [3,7,6,2,8,5,1,4]=>0110110=>[2,1,2,1,2] [6,1,7,3,8,5,2,4]=>1010110=>[1,2,2,1,2] [7,1,8,3,2,5,4,6]=>1011010=>[1,2,1,2,2] [2,7,8,3,1,5,4,6]=>0011010=>[3,1,2,2] [4,8,5,6,7,2,1,3]=>0100110=>[2,3,1,2] [5,8,6,2,7,4,1,3]=>0110110=>[2,1,2,1,2] [2,4,6,7,8,5,1,3]=>0000110=>[5,1,2] [2,4,6,7,8,3,1,5]=>0000110=>[5,1,2] [4,7,6,2,8,5,1,3]=>0110110=>[2,1,2,1,2] [5,8,7,3,2,4,1,6]=>0111010=>[2,1,1,2,2] [4,6,5,8,7,3,1,2]=>0101110=>[2,2,1,1,2] [8,3,1,7,2,6,4,5]=>1101010=>[1,1,2,2,2] [4,5,1,2,8,7,3,6]=>0100110=>[2,3,1,2] [5,6,1,2,8,3,7,4]=>0100101=>[2,3,2,1] [5,8,7,1,6,2,4,3]=>0110101=>[2,1,2,2,1] [8,4,5,1,7,6,2,3]=>1010110=>[1,2,2,1,2] [6,3,1,4,8,2,7,5]=>1100101=>[1,1,3,2,1] [8,5,6,1,7,2,4,3]=>1010101=>[1,2,2,2,1] [7,5,6,1,3,8,4,2]=>1010011=>[1,2,3,1,1] [5,7,6,1,3,8,4,2]=>0110011=>[2,1,3,1,1] [6,7,1,4,2,8,5,3]=>0101011=>[2,2,2,1,1] [2,1,6,4,8,3,7,5]=>1010101=>[1,2,2,2,1] [1,5,7,8,4,2,3,6]=>0001100=>[4,1,3] [1,3,6,4,2,5,7,8]=>0011000=>[3,1,4] [1,4,5,7,8,3,6,2]=>0000101=>[5,2,1] [1,5,7,8,3,6,2,4]=>0001010=>[4,2,2] [1,5,7,8,2,4,3,6]=>0001010=>[4,2,2] [6,8,4,7,3,2,1,5]=>0101110=>[2,2,1,1,2] [6,8,5,4,2,7,1,3]=>0111010=>[2,1,1,2,2] [1,8,4,6,3,2,7,5]=>0101101=>[2,2,1,2,1] [6,4,8,5,3,2,1,7]=>1011110=>[1,2,1,1,1,2] [3,5,6,1,4,2,7,8]=>0010100=>[3,2,3] [1,6,3,8,4,2,7,5]=>0101101=>[2,2,1,2,1] [7,1,3,2,4,6,8,5]=>1010001=>[1,2,4,1] [2,6,5,7,8,3,1,4]=>0100110=>[2,3,1,2] [4,1,8,2,6,7,5,3]=>1010011=>[1,2,3,1,1] [3,6,7,8,2,1,4,5]=>0001100=>[4,1,3] [2,5,7,1,6,3,4,8]=>0010100=>[3,2,3] [4,2,8,3,6,5,1,7]=>1010110=>[1,2,2,1,2] [6,3,8,7,2,4,5,1]=>1011001=>[1,2,1,3,1] [7,6,1,8,2,4,5,3]=>1101001=>[1,1,2,3,1] [2,5,6,3,4,8,1,7]=>0010010=>[3,3,2] [5,2,4,7,8,6,1,3]=>1000110=>[1,4,1,2] [7,2,1,3,4,8,5,6]=>1100010=>[1,1,4,2] [2,4,5,7,1,8,6,3]=>0001011=>[4,2,1,1] [8,1,6,2,3,4,7,5]=>1010001=>[1,2,4,1] [6,1,4,2,5,7,8,3]=>1010001=>[1,2,4,1] [6,5,1,2,3,7,8,9,4]=>11000001=>[1,1,6,1] [1,6,7,2,4,3,5,8]=>0010100=>[3,2,3] [1,8,3,4,5,2,7,6]=>0100101=>[2,3,2,1] [1,8,3,6,4,7,2,5]=>0101010=>[2,2,2,2] [1,4,7,2,5,6,3,8]=>0010010=>[3,3,2] [7,3,5,8,2,6,1,4]=>1001010=>[1,3,2,2] [3,4,8,6,7,2,1,5]=>0010110=>[3,2,1,2] [3,4,8,2,5,1,7,6]=>0010101=>[3,2,2,1] [1,7,2,5,8,4,3,6]=>0100110=>[2,3,1,2] [1,4,6,7,8,3,5,2]=>0000101=>[5,2,1] [4,1,5,3,6,8,7,2]=>1010011=>[1,2,3,1,1] [5,8,7,4,6,2,3,1]=>0110101=>[2,1,2,2,1] [6,8,7,1,5,3,4,2]=>0110101=>[2,1,2,2,1] [2,7,8,4,6,5,1,3]=>0010110=>[3,2,1,2] [3,7,8,5,4,6,2,1]=>0011011=>[3,1,2,1,1] [4,8,7,5,2,6,3,1]=>0111011=>[2,1,1,2,1,1] [2,8,7,4,6,1,5,3]=>0110101=>[2,1,2,2,1] [4,8,7,2,5,6,3,1]=>0110011=>[2,1,3,1,1] [4,7,8,5,3,6,2,1]=>0011011=>[3,1,2,1,1] [6,4,8,1,5,7,3,2]=>1010011=>[1,2,3,1,1] [1,6,8,3,5,2,7,4]=>0010101=>[3,2,2,1] [4,5,8,6,3,7,2,1]=>0011011=>[3,1,2,1,1] [2,6,7,8,4,5,1,3]=>0001010=>[4,2,2] [6,1,2,8,4,7,5,3]=>1001011=>[1,3,2,1,1] [4,7,1,8,5,6,3,2]=>0101011=>[2,2,2,1,1] [5,7,1,8,2,6,4,3]=>0101011=>[2,2,2,1,1] [7,2,1,8,6,4,5,3]=>1101101=>[1,1,2,1,2,1] [5,3,8,4,7,6,2,1]=>1010111=>[1,2,2,1,1,1] [2,5,8,1,7,4,6,3]=>0010101=>[3,2,2,1] [4,5,8,3,7,6,2,1]=>0010111=>[3,2,1,1,1] [1,7,2,8,6,4,5,3]=>0101101=>[2,2,1,2,1] [3,5,7,8,1,6,2,4]=>0001010=>[4,2,2] [2,4,7,8,5,6,1,3]=>0001010=>[4,2,2] [4,1,7,8,5,6,3,2]=>1001011=>[1,3,2,1,1] [3,5,8,6,4,7,2,1]=>0011011=>[3,1,2,1,1] [2,4,8,5,7,6,1,3]=>0010110=>[3,2,1,2] [2,6,3,8,5,1,7,4]=>0101101=>[2,2,1,2,1] [4,1,5,8,6,7,3,2]=>1001011=>[1,3,2,1,1] [5,3,4,7,6,1,2,8]=>1001100=>[1,3,1,3] [6,2,1,4,8,3,7,5]=>1100101=>[1,1,3,2,1] [2,8,5,4,1,3,7,6]=>0111001=>[2,1,1,3,1] [4,2,8,7,1,3,5,6]=>1011000=>[1,2,1,4] [5,4,6,3,1,7,2,8]=>1011010=>[1,2,1,2,2] [4,3,6,5,1,8,2,7]=>1011010=>[1,2,1,2,2] [1,5,6,8,7,3,2,4]=>0001110=>[4,1,1,2] [1,4,8,3,6,5,2,7]=>0010110=>[3,2,1,2] [1,3,8,6,4,7,2,5]=>0011010=>[3,1,2,2] [1,2,8,6,4,3,7,5]=>0011101=>[3,1,1,2,1] [6,5,1,8,7,3,2,4]=>1101110=>[1,1,2,1,1,2] [4,1,7,6,8,3,2,5]=>1010110=>[1,2,2,1,2] [1,8,4,7,6,2,3,5]=>0101100=>[2,2,1,3] [8,3,2,6,1,7,4,5]=>1101010=>[1,1,2,2,2] [1,6,3,7,4,5,2,8]=>0101010=>[2,2,2,2] [2,6,3,7,4,8,5,1]=>0101011=>[2,2,2,1,1] [4,6,1,7,8,2,5,3]=>0100101=>[2,3,2,1] [7,2,3,8,4,5,6,1]=>1001001=>[1,3,3,1] [5,2,6,7,8,3,4,1]=>1000101=>[1,4,2,1] [6,5,8,1,2,7,4,3]=>1010011=>[1,2,3,1,1] [6,5,1,8,7,2,4,3]=>1101101=>[1,1,2,1,2,1] [5,8,4,3,7,2,1,6]=>0110110=>[2,1,2,1,2] [6,1,2,8,7,3,4,5]=>1001100=>[1,3,1,3] [7,3,2,8,4,6,1,5]=>1101010=>[1,1,2,2,2] [4,5,1,7,6,2,8,3]=>0101101=>[2,2,1,2,1] [1,5,2,7,6,3,4,8]=>0101100=>[2,2,1,3] [7,2,6,8,3,5,4,1]=>1001011=>[1,3,2,1,1] [4,8,1,7,6,2,5,3]=>0101101=>[2,2,1,2,1] [7,2,8,6,5,3,4,1]=>1011101=>[1,2,1,1,2,1] [4,1,8,7,6,5,2,3]=>1011110=>[1,2,1,1,1,2] [7,6,5,2,8,4,3,1]=>1110111=>[1,1,1,2,1,1,1] [6,5,1,8,7,4,3,2]=>1101111=>[1,1,2,1,1,1,1] [7,5,1,8,6,4,3,2]=>1101111=>[1,1,2,1,1,1,1] [8,5,1,7,6,4,3,2]=>1101111=>[1,1,2,1,1,1,1] [8,5,3,7,6,1,4,2]=>1101101=>[1,1,2,1,2,1] [3,8,7,6,1,5,4,2]=>0111011=>[2,1,1,2,1,1] [10,9,1,2,3,4,5,6,7,11,8]=>1100000001=>[1,1,8,1] [9,1,8,2,3,4,5,6,10,7]=>101000001=>[1,2,6,1] [9,7,1,2,3,4,5,6,10,8]=>110000001=>[1,1,7,1] [2,10,1,9,3,4,5,6,7,8]=>010100000=>[2,2,6] [2,10,8,1,3,4,5,6,7,9]=>011000000=>[2,1,7] [2,11,10,1,3,4,5,6,7,8,9]=>0110000000=>[2,1,8] [8,3,7,5,4,1,6,2]=>1011101=>[1,2,1,1,2,1] [4,5,3,1,8,7,2,6]=>0110110=>[2,1,2,1,2] [3,4,8,1,5,2,6,7]=>0010100=>[3,2,3] [8,6,5,7,1,3,2,4]=>1101010=>[1,1,2,2,2] [1,5,8,6,2,7,4,3]=>0011011=>[3,1,2,1,1] [3,1,8,5,7,2,6,4]=>1010101=>[1,2,2,2,1] [6,8,5,3,4,2,1,7]=>0110110=>[2,1,2,1,2] [8,5,2,6,4,3,1,7]=>1101110=>[1,1,2,1,1,2] [8,6,4,5,2,1,7,3]=>1101101=>[1,1,2,1,2,1] [8,5,2,6,1,4,7,3]=>1101001=>[1,1,2,3,1] [2,7,5,8,1,4,6,3]=>0101001=>[2,2,3,1] [3,2,6,7,1,8,5,4]=>1001011=>[1,3,2,1,1] [3,4,6,7,8,2,1,5]=>0000110=>[5,1,2] [3,2,6,7,8,4,1,5]=>1000110=>[1,4,1,2] [6,2,7,4,8,5,1,3]=>1010110=>[1,2,2,1,2] [6,7,1,3,8,5,4,2]=>0100111=>[2,3,1,1,1] [6,7,1,8,5,2,4,3]=>0101101=>[2,2,1,2,1] [1,2,6,7,8,5,3,4]=>0000110=>[5,1,2] [1,6,7,4,8,3,2,5]=>0010110=>[3,2,1,2] [1,4,6,7,8,3,2,5]=>0000110=>[5,1,2] [6,1,2,4,5,3,7,8]=>1000100=>[1,4,3] [8,1,7,3,2,6,4,5]=>1011010=>[1,2,1,2,2] [4,1,3,2,5,6,7,8,9]=>10100000=>[1,2,6] [6,1,2,4,5,3,7,8,9]=>10001000=>[1,4,4] [5,4,1,2,3,6,7,8,9]=>11000000=>[1,1,7] [8,1,2,3,5,6,7,4,9]=>10000010=>[1,6,2] [4,1,6,3,5,2,7,8,9]=>10101000=>[1,2,2,4] [8,1,7,3,2,6,4,5,9]=>10110100=>[1,2,1,2,3] [5,7,1,6,2,4,3,8,9]=>01010100=>[2,2,2,3] [7,3,4,6,1,2,5,8,9]=>10010000=>[1,3,5] [6,1,2,9,4,5,7,8,3]=>10010001=>[1,3,4,1] [4,1,6,3,8,5,7,2,9]=>10101010=>[1,2,2,2,2] [6,8,5,1,7,2,3,4,9]=>01101000=>[2,1,2,4] [8,3,4,5,7,1,2,6,9]=>10001000=>[1,4,4] [5,7,1,9,2,8,4,6,3]=>01010101=>[2,2,2,2,1] [7,9,4,6,1,8,2,3,5]=>01010100=>[2,2,2,3] [4,1,3,2,5,6,7,8,9,10]=>101000000=>[1,2,7] [6,1,2,4,5,3,7,8,9,10]=>100010000=>[1,4,5] [5,4,1,2,3,6,7,8,9,10]=>110000000=>[1,1,8] [8,1,2,3,5,6,7,4,9,10]=>100000100=>[1,6,3] [4,1,6,3,5,2,7,8,9,10]=>101010000=>[1,2,2,5] [8,1,7,3,2,6,4,5,9,10]=>101101000=>[1,2,1,2,4] [5,7,1,6,2,4,3,8,9,10]=>010101000=>[2,2,2,4] [7,3,4,6,1,2,5,8,9,10]=>100100000=>[1,3,6] [6,1,2,9,4,5,7,8,3,10]=>100100010=>[1,3,4,2] [4,1,6,3,8,5,7,2,9,10]=>101010100=>[1,2,2,2,3] [6,8,5,1,7,2,3,4,9,10]=>011010000=>[2,1,2,5] [8,3,4,5,7,1,2,6,9,10]=>100010000=>[1,4,5] [10,1,6,3,9,5,2,8,4,7]=>101011010=>[1,2,2,1,2,2] [5,7,1,9,2,8,4,6,3,10]=>010101010=>[2,2,2,2,2] [7,9,4,6,1,8,2,3,5,10]=>010101000=>[2,2,2,4] [9,3,4,5,6,8,1,2,7,10]=>100001000=>[1,5,4] [4,1,6,3,8,5,10,7,9,2]=>101010101=>[1,2,2,2,2,1] [6,8,10,1,7,2,9,3,5,4]=>001010101=>[3,2,2,2,1] [8,10,4,5,7,1,9,2,3,6]=>010010100=>[2,3,2,3] [10,3,4,5,6,7,9,1,2,8]=>100000100=>[1,6,3] [8,7,2,1,5,4,6,3]=>1110101=>[1,1,1,2,2,1] [2,7,4,8,6,5,3,1]=>0101111=>[2,2,1,1,1,1] [7,6,5,2,4,1,8,3]=>1110101=>[1,1,1,2,2,1] [7,6,4,3,1,5,8,2]=>1111001=>[1,1,1,1,3,1] [6,1,8,7,2,3,5,4]=>1011001=>[1,2,1,3,1] [8,6,1,2,7,3,4,5]=>1100100=>[1,1,3,3] [3,6,8,2,7,1,5,4]=>0010101=>[3,2,2,1] [2,8,6,1,4,5,7,3]=>0110001=>[2,1,4,1] [6,8,7,2,5,4,1,3]=>0110110=>[2,1,2,1,2] [3,5,7,9,1,2,4,6,8,10]=>000100000=>[4,6] [4,1,2,3,5,6,7,8,9,10]=>100000000=>[1,9] [5,1,2,3,4,6,7,8,9,10]=>100000000=>[1,9] [8,1,2,3,4,5,6,7,9,10]=>100000000=>[1,9] [7,1,2,3,4,5,6,8,9,10]=>100000000=>[1,9] [6,1,2,3,4,5,7,8,9,10]=>100000000=>[1,9] [3,1,2,4,5,6,7,8,9,10,11,12]=>10000000000=>[1,11] [3,2,6,4,8,7,5,1]=>1010111=>[1,2,2,1,1,1] [4,7,2,8,6,5,1,3]=>0101110=>[2,2,1,1,2] [4,7,1,8,6,5,3,2]=>0101111=>[2,2,1,1,1,1] [2,7,4,8,3,6,1,5]=>0101010=>[2,2,2,2] [4,7,3,8,6,1,5,2]=>0101101=>[2,2,1,2,1] [4,3,6,8,7,2,5,1]=>1001101=>[1,3,1,2,1] [4,3,8,2,5,7,6,1]=>1010011=>[1,2,3,1,1] [4,1,2,6,8,7,5,3]=>1000111=>[1,4,1,1,1] [3,1,6,4,8,7,2,5]=>1010110=>[1,2,2,1,2] [4,1,6,8,7,5,2,3]=>1001110=>[1,3,1,1,2] [3,8,1,4,5,7,2,6]=>0100010=>[2,4,2] [3,8,1,4,2,5,7,6]=>0101001=>[2,2,3,1] [4,1,8,3,5,2,7,6]=>1010101=>[1,2,2,2,1] [3,8,1,2,5,4,7,6]=>0100101=>[2,3,2,1] [4,2,3,6,8,7,1,5]=>1000110=>[1,4,1,2] [4,2,8,3,5,1,7,6]=>1010101=>[1,2,2,2,1] [4,2,8,3,5,7,6,1]=>1010011=>[1,2,3,1,1] [3,8,2,4,5,7,6,1]=>0100011=>[2,4,1,1] [3,8,2,5,1,4,7,6]=>0101001=>[2,2,3,1] [4,2,8,5,7,1,3,6]=>1010100=>[1,2,2,3] [3,8,1,5,2,4,7,6]=>0101001=>[2,2,3,1] [7,5,6,4,1,3,2,8]=>1011010=>[1,2,1,2,2] [7,8,6,4,1,3,2,5]=>0111010=>[2,1,1,2,2] [7,1,4,2,5,6,3,8]=>1010010=>[1,2,3,2] [7,3,2,1,4,6,5,8]=>1110010=>[1,1,1,3,2] [7,6,1,4,3,2,5,8]=>1101100=>[1,1,2,1,3] [7,4,1,3,5,6,2,8]=>1100010=>[1,1,4,2] [2,7,1,3,5,6,8,4]=>0100001=>[2,5,1] [3,6,2,1,5,8,7,4]=>0110011=>[2,1,3,1,1] [2,3,6,1,5,8,7,4]=>0010011=>[3,3,1,1] [3,4,7,1,5,6,8,2]=>0010001=>[3,4,1] [3,6,7,4,1,2,8,5]=>0011001=>[3,1,3,1] [4,3,2,7,1,6,8,5]=>1101001=>[1,1,2,3,1] [7,3,2,8,1,6,4,5]=>1101010=>[1,1,2,2,2] [7,4,8,1,5,6,3,2]=>1010011=>[1,2,3,1,1] [2,6,8,1,5,3,7,4]=>0010101=>[3,2,2,1] [6,8,2,1,5,3,7,4]=>0110101=>[2,1,2,2,1] [4,8,2,5,3,6,7,1]=>0101001=>[2,2,3,1] [4,5,8,2,3,6,7,1]=>0010001=>[3,4,1] [2,4,8,5,3,6,7,1]=>0011001=>[3,1,3,1] [5,3,2,6,4,8,7,1]=>1101011=>[1,1,2,2,1,1] [2,4,5,3,8,6,7,1]=>0010101=>[3,2,2,1] [4,3,5,2,8,6,7,1]=>1010101=>[1,2,2,2,1] [4,8,5,3,2,6,7,1]=>0111001=>[2,1,1,3,1] [3,5,4,2,8,6,7,1]=>0110101=>[2,1,2,2,1] [4,1,2,7,5,6,8,3]=>1001001=>[1,3,3,1] [5,6,7,4,2,8,3,1]=>0011011=>[3,1,2,1,1] [2,5,7,4,6,8,3,1]=>0010011=>[3,3,1,1] [7,5,2,4,3,8,6,1]=>1101011=>[1,1,2,2,1,1] [6,8,1,2,5,4,7,3]=>0100101=>[2,3,2,1] [6,4,1,8,5,2,7,3]=>1101101=>[1,1,2,1,2,1] [2,6,1,8,5,4,7,3]=>0101101=>[2,2,1,2,1] [7,1,2,8,5,6,4,3]=>1001011=>[1,3,2,1,1] [4,3,2,6,8,5,7,1]=>1100101=>[1,1,3,2,1] [3,7,6,4,8,5,2,1]=>0110111=>[2,1,2,1,1,1] [3,1,6,8,5,4,7,2]=>1001101=>[1,3,1,2,1] [2,3,5,8,4,6,7,1]=>0001001=>[4,3,1] [3,5,2,8,4,6,7,1]=>0101001=>[2,2,3,1] [3,4,5,8,2,6,7,1]=>0001001=>[4,3,1] [5,4,2,8,3,6,7,1]=>1101001=>[1,1,2,3,1] [5,3,4,8,2,6,7,1]=>1001001=>[1,3,3,1] [2,5,4,8,3,6,7,1]=>0101001=>[2,2,3,1] [6,3,2,5,8,4,7,1]=>1100101=>[1,1,3,2,1] [6,1,8,3,5,4,7,2]=>1010101=>[1,2,2,2,1] [5,4,8,3,2,6,7,1]=>1011001=>[1,2,1,3,1] [5,8,2,3,4,6,7,1]=>0100001=>[2,5,1] [6,2,1,7,8,5,4,3]=>1100111=>[1,1,3,1,1,1] [7,4,6,8,3,2,5,1]=>1001101=>[1,3,1,2,1] [3,4,5,2,7,1,6,8]=>0010100=>[3,2,3] [7,5,6,1,2,3,8,4]=>1010001=>[1,2,4,1] [1,5,7,6,3,2,8,4]=>0011101=>[3,1,1,2,1] [8,4,6,7,3,2,5,1]=>1001101=>[1,3,1,2,1] [8,4,6,2,3,1,5,7]=>1010100=>[1,2,2,3] [7,5,2,1,4,3,8,6]=>1110101=>[1,1,1,2,2,1] [3,1,7,8,5,4,2,6]=>1001110=>[1,3,1,1,2] [3,4,5,2,1,8,6,7]=>0011010=>[3,1,2,2] [7,6,4,8,3,1,2,5]=>1101100=>[1,1,2,1,3] [7,4,8,5,6,1,2,3]=>1010100=>[1,2,2,3] [6,2,8,5,1,3,4,7]=>1011000=>[1,2,1,4] [3,2,7,8,6,1,4,5]=>1001100=>[1,3,1,3] [6,8,2,5,1,3,7,4]=>0101001=>[2,2,3,1] [6,7,4,2,1,5,3,8]=>0111010=>[2,1,1,2,2] [5,7,4,1,3,6,2,8]=>0110010=>[2,1,3,2] [4,2,7,5,1,8,3,6]=>1011010=>[1,2,1,2,2] [4,1,6,5,3,8,2,7]=>1011010=>[1,2,1,2,2] [1,5,4,6,3,8,2,7]=>0101010=>[2,2,2,2] [1,8,6,4,7,3,2,5]=>0110110=>[2,1,2,1,2] [4,7,1,8,6,3,5,2]=>0101101=>[2,2,1,2,1] [5,4,8,1,7,3,6,2]=>1010101=>[1,2,2,2,1] [4,3,8,6,2,1,7,5]=>1011101=>[1,2,1,1,2,1] [8,3,6,2,4,1,7,5]=>1010101=>[1,2,2,2,1] [7,8,3,2,4,6,5,1]=>0110011=>[2,1,3,1,1] [7,2,8,5,3,1,6,4]=>1011101=>[1,2,1,1,2,1] [2,5,4,8,7,3,6,1]=>0101101=>[2,2,1,2,1] [6,4,2,8,7,3,1,5]=>1101110=>[1,1,2,1,1,2] [3,6,8,1,7,4,2,5]=>0010110=>[3,2,1,2] [7,8,6,3,1,4,5,2]=>0111001=>[2,1,1,3,1] [3,8,6,1,7,5,2,4]=>0110110=>[2,1,2,1,2] [2,7,5,4,8,3,1,6]=>0110110=>[2,1,2,1,2] [6,8,7,5,2,1,3,4]=>0111100=>[2,1,1,1,3] [7,6,2,8,5,1,3,4]=>1101100=>[1,1,2,1,3] [1,5,7,6,2,8,4,3]=>0011011=>[3,1,2,1,1] [1,6,5,2,7,8,4,3]=>0110011=>[2,1,3,1,1] [4,7,8,5,6,2,3,1]=>0010101=>[3,2,2,1] [4,7,8,1,2,5,6,3]=>0010001=>[3,4,1] [8,6,4,1,2,5,7,3]=>1110001=>[1,1,1,4,1] [6,1,4,7,2,5,8,3]=>1001001=>[1,3,3,1] [5,6,3,2,7,4,1,8]=>0110110=>[2,1,2,1,2] [2,6,4,3,7,5,8,1]=>0110101=>[2,1,2,2,1] [7,2,3,6,1,8,4,5]=>1001010=>[1,3,2,2] [3,4,6,5,7,1,2,8]=>0010100=>[3,2,3] [7,6,2,3,5,4,8,1]=>1100101=>[1,1,3,2,1] [8,5,2,4,3,6,1,7]=>1101010=>[1,1,2,2,2] [8,5,7,2,4,1,6,3]=>1010101=>[1,2,2,2,1] [2,6,7,5,8,1,4,3]=>0010101=>[3,2,2,1] [7,4,8,2,1,5,6,3]=>1011001=>[1,2,1,3,1] [2,3,6,7,8,5,1,4]=>0000110=>[5,1,2] [8,3,7,1,6,4,2,5]=>1010110=>[1,2,2,1,2] [8,2,1,7,6,5,3,4]=>1101110=>[1,1,2,1,1,2] [6,5,1,2,8,3,4,7]=>1100100=>[1,1,3,3] [5,6,8,1,3,7,2,4]=>0010010=>[3,3,2] [1,6,8,5,3,2,4,7]=>0011100=>[3,1,1,3] [5,8,1,6,7,4,2,3]=>0100110=>[2,3,1,2] [7,2,8,4,6,1,3,5]=>1010100=>[1,2,2,3] [6,2,7,4,3,8,1,5]=>1011010=>[1,2,1,2,2] [1,7,8,4,6,2,3,5]=>0010100=>[3,2,3] [7,1,8,4,6,2,3,5]=>1010100=>[1,2,2,3] [8,1,6,5,4,7,2,3]=>1011010=>[1,2,1,2,2] [4,1,6,8,7,3,2,5]=>1001110=>[1,3,1,1,2] [5,1,4,6,7,3,8,2]=>1000101=>[1,4,2,1] [7,1,3,4,6,2,8,5]=>1000101=>[1,4,2,1] [3,4,1,6,2,5,8,7,9]=>01010010=>[2,2,3,2] [3,4,1,2,6,5,8,7,9]=>01001010=>[2,3,2,2] [2,4,1,6,3,5,8,7,10,9,11]=>0101001010=>[2,2,3,2,2] [3,4,1,6,2,5,8,7,10,9]=>010100101=>[2,2,3,2,1] [3,5,1,6,2,4,8,7,9]=>01010010=>[2,2,3,2] [2,5,1,6,3,4,8,7,9]=>01010010=>[2,2,3,2] [3,5,1,2,6,4,8,7,9]=>01001010=>[2,3,2,2] [2,5,1,3,6,4,8,7,9]=>01001010=>[2,3,2,2] [8,7,1,4,6,3,2,5]=>1100110=>[1,1,3,1,2] [6,5,2,8,4,7,1,3]=>1101010=>[1,1,2,2,2] [1,4,7,5,8,6,3,2]=>0010111=>[3,2,1,1,1] [6,1,8,3,4,7,2,5]=>1010010=>[1,2,3,2] [1,8,6,3,5,2,7,4]=>0110101=>[2,1,2,2,1] [7,8,1,3,5,4,2,6]=>0100110=>[2,3,1,2] [4,7,1,6,8,3,5,2]=>0100101=>[2,3,2,1] [3,6,5,2,8,4,1,7]=>0110110=>[2,1,2,1,2] [8,2,5,6,3,1,7,4]=>1001101=>[1,3,1,2,1] [7,1,8,4,2,5,3,6]=>1011010=>[1,2,1,2,2] [1,4,8,7,5,2,6,3]=>0011101=>[3,1,1,2,1] [1,5,6,4,2,3,7,8]=>0011000=>[3,1,4] [5,8,7,4,2,1,3,6]=>0111100=>[2,1,1,1,3] [3,1,5,2,7,8,6,4]=>1010011=>[1,2,3,1,1] [1,8,7,3,2,5,4,6]=>0111010=>[2,1,1,2,2] [1,2,5,4,8,7,3,6]=>0010110=>[3,2,1,2] [1,2,4,8,6,3,5,7]=>0001100=>[4,1,3] [1,5,2,4,7,3,8,6]=>0100101=>[2,3,2,1] [8,6,3,5,7,4,1,2]=>1100110=>[1,1,3,1,2] [8,5,3,2,1,4,7,6]=>1111001=>[1,1,1,1,3,1] [1,2,7,6,8,4,3,5]=>0010110=>[3,2,1,2] [1,6,3,2,5,7,8,4]=>0110001=>[2,1,4,1] [1,7,3,4,2,6,8,5]=>0101001=>[2,2,3,1] [1,6,3,5,8,4,2,7]=>0100110=>[2,3,1,2] [1,5,6,3,2,8,4,7]=>0011010=>[3,1,2,2] [1,2,5,8,4,6,3,7]=>0001010=>[4,2,2] [1,5,3,2,7,8,4,6]=>0110010=>[2,1,3,2] [4,1,8,6,2,3,7,5]=>1011001=>[1,2,1,3,1] [7,5,8,6,2,3,4,1]=>1011001=>[1,2,1,3,1] [1,7,6,4,3,8,5,2]=>0111011=>[2,1,1,2,1,1] [1,8,5,7,6,3,2,4]=>0101110=>[2,2,1,1,2] [1,4,7,3,6,8,5,2]=>0010011=>[3,3,1,1] [1,6,3,5,7,8,4,2]=>0100011=>[2,4,1,1] [1,5,6,3,2,7,8,4]=>0011001=>[3,1,3,1] [1,2,7,6,8,4,5,3]=>0010101=>[3,2,2,1] [1,8,4,7,5,3,2,6]=>0101110=>[2,2,1,1,2] [6,8,5,2,1,7,4,3]=>0111011=>[2,1,1,2,1,1] [1,2,6,8,4,3,7,5]=>0001101=>[4,1,2,1] [5,3,7,2,6,4,1,8]=>1010110=>[1,2,2,1,2] [5,3,8,2,6,1,7,4]=>1010101=>[1,2,2,2,1] [7,6,2,5,3,4,1,8]=>1101010=>[1,1,2,2,2] [7,6,2,4,5,3,1,8]=>1100110=>[1,1,3,1,2] [7,6,2,4,3,5,1,8]=>1101010=>[1,1,2,2,2] [7,6,2,3,5,4,1,8]=>1100110=>[1,1,3,1,2] [8,4,2,7,1,6,3,5]=>1101010=>[1,1,2,2,2] [8,7,6,1,5,3,2,4]=>1110110=>[1,1,1,2,1,2] [8,7,6,1,4,3,5,2]=>1110101=>[1,1,1,2,2,1] [8,7,6,1,3,5,4,2]=>1110011=>[1,1,1,3,1,1] [8,7,6,1,5,4,2,3]=>1110110=>[1,1,1,2,1,2] [8,6,2,7,1,5,3,4]=>1101010=>[1,1,2,2,2] [5,3,7,2,8,1,6,4]=>1010101=>[1,2,2,2,1] [8,3,5,4,2,1,6,7]=>1011100=>[1,2,1,1,3] [7,8,4,3,1,5,2,6]=>0111010=>[2,1,1,2,2] [8,6,3,7,1,5,2,4]=>1101010=>[1,1,2,2,2] [8,7,6,1,2,5,3,4]=>1110010=>[1,1,1,3,2] [8,7,6,1,2,5,4,3]=>1110011=>[1,1,1,3,1,1] [8,7,6,1,4,2,5,3]=>1110101=>[1,1,1,2,2,1] [4,7,5,8,6,1,3,2]=>0101101=>[2,2,1,2,1] [6,5,7,3,8,4,1,2]=>1010110=>[1,2,2,1,2] [8,7,5,4,1,2,6,3]=>1111001=>[1,1,1,1,3,1] [8,6,7,1,5,3,2,4]=>1010110=>[1,2,2,1,2] [7,5,6,1,3,4,2,8]=>1010010=>[1,2,3,2] [5,7,8,1,3,4,2,6]=>0010010=>[3,3,2] [7,8,5,1,3,4,2,6]=>0110010=>[2,1,3,2] [5,7,8,3,4,6,1,2]=>0010010=>[3,3,2] [7,5,1,3,4,2,6,8]=>1100100=>[1,1,3,3] [5,7,1,3,4,2,8,6]=>0100101=>[2,3,2,1] [7,3,5,6,4,8,1,2]=>1001010=>[1,3,2,2] [1,7,3,8,2,5,6,4]=>0101001=>[2,2,3,1] [1,5,3,7,8,4,6,2]=>0100101=>[2,3,2,1] [1,5,7,3,8,2,6,4]=>0010101=>[3,2,2,1] [7,1,5,3,6,2,4,8]=>1010100=>[1,2,2,3] [1,7,3,5,8,4,2,6]=>0100110=>[2,3,1,2] [1,3,7,5,8,6,2,4]=>0010110=>[3,2,1,2] [1,7,8,5,3,6,2,4]=>0011010=>[3,1,2,2] [1,7,5,8,3,4,2,6]=>0101010=>[2,2,2,2] [7,1,5,6,3,4,2,8]=>1001010=>[1,3,2,2] [7,3,5,6,4,1,2,8]=>1001100=>[1,3,1,3] [3,7,5,8,4,1,2,6]=>0101100=>[2,2,1,3] [7,5,6,8,1,3,4,2]=>1001001=>[1,3,3,1] [5,3,4,7,8,1,2,6]=>1000100=>[1,4,3] [5,3,7,6,8,1,2,4]=>1010100=>[1,2,2,3] [3,7,1,2,5,8,4,6]=>0100010=>[2,4,2] [3,1,2,7,5,8,4,6]=>1001010=>[1,3,2,2] [3,1,2,5,7,8,6,4]=>1000011=>[1,5,1,1] [7,3,1,5,4,6,2,8]=>1101010=>[1,1,2,2,2] [7,3,5,1,2,6,4,8]=>1010010=>[1,2,3,2] [3,7,1,2,8,5,6,4]=>0100101=>[2,3,2,1] [5,3,1,7,4,6,8,2]=>1101001=>[1,1,2,3,1] [5,3,7,1,2,6,8,4]=>1010001=>[1,2,4,1] [7,4,8,3,5,6,1,2]=>1010010=>[1,2,3,2] [2,4,7,3,5,6,1,8]=>0010010=>[3,3,2] [5,7,6,4,2,3,1,8]=>0111010=>[2,1,1,2,2] [7,4,8,2,5,6,1,3]=>1010010=>[1,2,3,2] [5,8,2,4,6,1,3,7]=>0100100=>[2,3,3] [6,1,4,8,5,2,7,3]=>1001101=>[1,3,1,2,1] [3,4,5,8,1,6,7,2]=>0001001=>[4,3,1] [6,8,7,4,2,1,5,3]=>0111101=>[2,1,1,1,2,1] [5,6,8,4,7,3,1,2]=>0010110=>[3,2,1,2] [3,1,6,8,5,2,7,4]=>1001101=>[1,3,1,2,1] [2,3,8,1,5,6,4,7]=>0010010=>[3,3,2] [5,4,8,1,2,6,7,3]=>1010001=>[1,2,4,1] [5,1,8,2,4,6,7,3]=>1010001=>[1,2,4,1] [4,1,8,2,3,6,7,5]=>1010001=>[1,2,4,1] [5,2,3,8,1,7,4,6]=>1001010=>[1,3,2,2] [2,3,5,7,1,6,4,8]=>0001010=>[4,2,2] [1,5,3,8,2,4,6,7]=>0101000=>[2,2,4] [8,6,2,7,5,1,4,3]=>1101101=>[1,1,2,1,2,1] [2,7,1,8,6,3,5,4]=>0101101=>[2,2,1,2,1] [5,7,6,1,3,2,8,4]=>0110101=>[2,1,2,2,1] [3,5,4,6,1,7,8,2]=>0101001=>[2,2,3,1] [8,1,5,4,6,3,7,2]=>1010101=>[1,2,2,2,1] [8,4,2,5,6,3,7,1]=>1100101=>[1,1,3,2,1] [8,6,2,7,5,4,3,1]=>1101111=>[1,1,2,1,1,1,1] [5,4,7,2,8,6,1,3]=>1010110=>[1,2,2,1,2] [3,5,6,4,1,7,2,8]=>0011010=>[3,1,2,2] [2,5,6,1,7,4,3,8]=>0010110=>[3,2,1,2] [2,7,1,8,6,5,4,3]=>0101111=>[2,2,1,1,1,1] [3,7,6,1,8,5,4,2]=>0110111=>[2,1,2,1,1,1] [8,6,4,2,1,3,5,7,9]=>11110000=>[1,1,1,1,5] [8,6,2,1,4,3,5,7,9]=>11101000=>[1,1,1,2,4] [8,4,2,1,6,3,5,7,9]=>11101000=>[1,1,1,2,4] [6,4,2,1,8,3,5,7,9]=>11101000=>[1,1,1,2,4] [8,6,4,2,9,1,3,5,7]=>11101000=>[1,1,1,2,4] [9,6,4,2,7,1,3,5,8]=>11101000=>[1,1,1,2,4] [9,7,4,2,5,1,3,6,8]=>11101000=>[1,1,1,2,4] [9,7,5,2,3,1,4,6,8]=>11101000=>[1,1,1,2,4] [9,7,5,3,1,2,4,6,8]=>11110000=>[1,1,1,1,5] [10,8,6,4,2,1,3,5,7,9]=>111110000=>[1,1,1,1,1,5] [10,8,6,2,1,4,3,5,7,9]=>111101000=>[1,1,1,1,2,4] [8,2,1,4,3,6,5,7,9]=>11010100=>[1,1,2,2,3] [10,8,4,2,1,6,3,5,7,9]=>111101000=>[1,1,1,1,2,4] [4,2,1,6,3,5,8,7,9]=>11010010=>[1,1,2,3,2] [10,6,4,2,1,8,3,5,7,9]=>111101000=>[1,1,1,1,2,4] [6,4,2,1,8,3,5,9,7]=>11101001=>[1,1,1,2,3,1] [8,6,4,2,1,10,3,5,7,9]=>111101000=>[1,1,1,1,2,4] [6,4,2,7,1,3,5,8,9]=>11010000=>[1,1,2,5] [8,6,4,2,9,1,3,5,7,10]=>111010000=>[1,1,1,2,5] [6,2,8,3,1,4,5,7]=>1011000=>[1,2,1,4] [8,9,4,2,5,1,3,6,7]=>01101000=>[2,1,2,4] [9,6,4,2,7,1,3,5,8,10]=>111010000=>[1,1,1,2,5] [2,7,8,3,1,4,5,6]=>0011000=>[3,1,4] [9,6,7,2,3,1,4,5,8]=>10101000=>[1,2,2,4] [9,7,4,2,5,1,3,6,8,10]=>111010000=>[1,1,1,2,5] [9,7,4,5,1,2,3,6,8]=>11010000=>[1,1,2,5] [9,7,5,2,3,1,4,6,8,10]=>111010000=>[1,1,1,2,5] [9,7,5,3,1,2,4,6,8,10]=>111100000=>[1,1,1,1,6] [1,5,3,2,8,6,7,4]=>0110101=>[2,1,2,2,1] [1,8,5,3,2,6,7,4]=>0111001=>[2,1,1,3,1] [1,7,8,5,6,3,2,4]=>0010110=>[3,2,1,2] [1,5,6,7,3,2,8,4]=>0001101=>[4,1,2,1] [1,7,5,2,3,4,8,6]=>0110001=>[2,1,4,1] [1,7,5,2,4,8,6,3]=>0110011=>[2,1,3,1,1] [1,6,7,8,3,2,4,5]=>0001100=>[4,1,3] [1,4,8,6,2,3,5,7]=>0011000=>[3,1,4] [1,8,4,5,6,7,2,3]=>0100010=>[2,4,2] [1,2,8,6,3,4,5,7]=>0011000=>[3,1,4] [1,2,8,6,3,5,7,4]=>0011001=>[3,1,3,1] [1,2,7,8,4,3,5,6]=>0001100=>[4,1,3] [1,8,6,7,4,2,3,5]=>0101100=>[2,2,1,3] [1,6,7,8,4,2,3,5]=>0001100=>[4,1,3] [1,6,7,8,3,4,2,5]=>0001010=>[4,2,2] [1,7,4,2,3,8,5,6]=>0110010=>[2,1,3,2] [1,7,8,4,2,3,5,6]=>0011000=>[3,1,4] [1,7,3,5,6,2,8,4]=>0100101=>[2,3,2,1] [1,7,8,3,4,2,5,6]=>0010100=>[3,2,3] [1,2,3,7,8,5,4,6]=>0000110=>[5,1,2] [1,2,7,4,6,3,8,5]=>0010101=>[3,2,2,1] [1,7,4,5,2,3,8,6]=>0101001=>[2,2,3,1] [1,7,8,4,5,2,3,6]=>0010100=>[3,2,3] [1,7,8,3,4,5,2,6]=>0010010=>[3,3,2] [1,2,8,4,5,6,3,7]=>0010010=>[3,3,2] [1,8,4,5,6,2,3,7]=>0100100=>[2,3,3] [5,8,2,7,3,4,1,6]=>0101010=>[2,2,2,2] [6,8,7,2,3,4,1,5]=>0110010=>[2,1,3,2] [3,8,7,5,2,6,1,4]=>0111010=>[2,1,1,2,2] [4,8,7,3,2,5,1,6]=>0111010=>[2,1,1,2,2] [5,3,8,1,6,7,4,2]=>1010011=>[1,2,3,1,1] [5,8,2,1,3,7,6,4]=>0110011=>[2,1,3,1,1] [5,1,8,2,6,4,7,3]=>1010101=>[1,2,2,2,1] [5,1,8,3,6,7,4,2]=>1010011=>[1,2,3,1,1] [3,1,8,4,6,2,7,5]=>1010101=>[1,2,2,2,1] [8,4,1,6,5,2,3,7]=>1101100=>[1,1,2,1,3] [1,8,7,6,4,3,5,2]=>0111101=>[2,1,1,1,2,1] [6,1,8,7,5,3,4,2]=>1011101=>[1,2,1,1,2,1] [6,8,7,3,2,4,1,5]=>0111010=>[2,1,1,2,2] [2,3,7,5,6,8,4,1]=>0010011=>[3,3,1,1] [3,2,4,7,5,8,1,6]=>1001010=>[1,3,2,2] [2,8,7,6,4,5,1,3]=>0111010=>[2,1,1,2,2] [4,8,7,6,3,1,5,2]=>0111101=>[2,1,1,1,2,1] [3,5,2,4,7,6,8,1]=>0100101=>[2,3,2,1] [5,3,2,6,4,7,8,1]=>1101001=>[1,1,2,3,1] [5,3,2,6,7,4,8,1]=>1100101=>[1,1,3,2,1] [5,3,2,7,6,4,8,1]=>1101101=>[1,1,2,1,2,1] [7,3,5,2,8,4,6,1]=>1010101=>[1,2,2,2,1] [3,5,2,7,4,6,8,1]=>0101001=>[2,2,3,1] [3,2,5,7,4,6,8,1]=>1001001=>[1,3,3,1] [3,2,7,5,4,8,6,1]=>1011011=>[1,2,1,2,1,1] [3,7,5,2,4,8,6,1]=>0110011=>[2,1,3,1,1] [2,3,7,5,4,8,6,1]=>0011011=>[3,1,2,1,1] [8,3,5,1,6,4,7,2]=>1010101=>[1,2,2,2,1] [8,4,5,6,1,3,7,2]=>1001001=>[1,3,3,1] [3,4,7,6,8,2,5,1]=>0010101=>[3,2,2,1] [5,2,8,4,1,3,6,7]=>1011000=>[1,2,1,4] [3,8,5,2,1,4,6,7]=>0111000=>[2,1,1,4] [7,6,4,1,8,2,5,3]=>1110101=>[1,1,1,2,2,1] [7,5,4,2,1,6,3,8]=>1111010=>[1,1,1,1,2,2] [8,1,6,7,3,4,2,5]=>1001010=>[1,3,2,2] [8,2,1,6,7,4,3,5]=>1100110=>[1,1,3,1,2] [5,2,8,6,3,7,1,4]=>1011010=>[1,2,1,2,2] [7,6,8,1,2,5,4,3]=>1010011=>[1,2,3,1,1] [1,2,9,3,4,5,6,8,7]=>00100001=>[3,5,1] [1,2,3,8,4,5,9,6,7]=>00010010=>[4,3,2] [1,2,3,4,9,5,6,8,7]=>00001001=>[5,3,1] [2,1,3,4,8,5,7,6]=>1000101=>[1,4,2,1] [1,2,3,4,5,9,6,8,7]=>00000101=>[6,2,1] [7,1,2,3,4,8,5,9,6]=>10000101=>[1,5,2,1] [6,9,1,2,3,4,8,5,7]=>01000010=>[2,5,2] [1,2,10,3,4,5,6,7,9,8]=>001000001=>[3,6,1] [5,1,9,2,3,4,8,6,7]=>10100010=>[1,2,4,2] [1,2,3,9,4,5,6,10,7,8]=>000100010=>[4,4,2] [4,1,2,3,5,8,6,9,7]=>10000101=>[1,5,2,1] [1,2,3,4,10,5,6,7,9,8]=>000010001=>[5,4,1] [3,1,2,4,9,5,8,6,7]=>10001010=>[1,4,2,2] [1,2,3,4,5,10,6,7,9,8]=>000001001=>[6,3,1] [2,1,3,4,5,9,6,8,7]=>10000101=>[1,5,2,1] [1,2,3,4,5,6,9,10,7,8]=>000000010=>[8,2] [10,1,2,3,4,5,6,7,11,8,9]=>1000000010=>[1,8,2] [8,1,2,3,4,5,9,6,10,7]=>100000101=>[1,6,2,1] [1,11,2,3,4,5,6,7,8,10,9]=>0100000001=>[2,8,1] [1,7,2,3,4,5,9,8,6]=>01000011=>[2,5,1,1] [7,10,1,2,3,4,5,9,6,8]=>010000010=>[2,6,2] [1,2,11,3,4,5,6,7,8,10,9]=>0010000001=>[3,7,1] [1,6,2,3,4,5,9,8,7]=>01000011=>[2,5,1,1] [6,1,2,3,7,4,8,9,5]=>10001001=>[1,4,3,1] [6,1,10,2,3,4,5,9,7,8]=>101000010=>[1,2,5,2] [1,2,3,10,4,5,6,7,11,8,9]=>0001000010=>[4,5,2] [5,7,1,2,6,8,3,4]=>0100010=>[2,4,2] [1,2,3,8,5,4,6,9,7]=>00011001=>[4,1,3,1] [5,9,1,2,6,3,4,8,7]=>01001001=>[2,3,3,1] [5,1,2,3,4,6,9,7,10,8]=>100000101=>[1,6,2,1] [1,2,3,4,11,5,6,7,8,10,9]=>0000100001=>[5,5,1] [1,4,2,3,5,6,9,8,7]=>01000011=>[2,5,1,1] [1,5,2,3,6,8,7,4]=>0100011=>[2,4,1,1] [4,1,9,5,2,3,6,8,7]=>10110001=>[1,2,1,4,1] [4,1,2,3,10,5,6,9,7,8]=>100010010=>[1,4,3,2] [1,2,3,4,5,11,6,7,8,10,9]=>0000010001=>[6,4,1] [1,3,2,4,5,6,9,8,7]=>01000011=>[2,5,1,1] [3,4,1,2,5,6,8,9,7]=>01000001=>[2,6,1] [3,1,2,4,5,10,6,9,7,8]=>100001010=>[1,5,2,2] [1,2,3,4,5,6,10,7,11,8,9]=>0000001010=>[7,2,2] [2,3,1,4,9,5,6,8,7]=>01001001=>[2,3,3,1] [1,2,3,4,5,6,7,11,8,10,9]=>0000000101=>[8,2,1] [1,2,3,4,5,6,7,8,11,10,9]=>0000000011=>[9,1,1] [3,5,7,4,1,8,2,6]=>0011010=>[3,1,2,2] [8,6,4,7,5,1,2,3]=>1101100=>[1,1,2,1,3] [8,6,4,1,2,5,3,7]=>1110010=>[1,1,1,3,2] [2,8,4,3,1,6,5,7]=>0111010=>[2,1,1,2,2] [3,8,4,6,1,5,2,7]=>0101010=>[2,2,2,2] [8,3,5,6,1,4,7,2]=>1001001=>[1,3,3,1] [6,8,7,3,5,4,2,1]=>0110111=>[2,1,2,1,1,1] [3,1,2,8,5,7,4,6]=>1001010=>[1,3,2,2] [8,1,2,3,4,6,9,5,7]=>10000010=>[1,6,2] [8,1,2,4,6,9,3,5,7]=>10000100=>[1,5,3] [6,1,2,3,4,5,9,8,7]=>10000011=>[1,6,1,1] [5,1,2,3,4,8,6,9,7]=>10000101=>[1,5,2,1] [4,1,2,3,9,6,8,5,7]=>10001010=>[1,4,2,2] [9,1,2,3,4,5,7,10,6,8]=>100000010=>[1,7,2] [7,3,1,2,5,8,4,6]=>1100010=>[1,1,4,2] [3,1,2,8,4,6,9,5,7]=>10010010=>[1,3,3,2] [8,3,5,7,2,1,4,6]=>1001100=>[1,3,1,3] [2,1,3,8,5,7,4,6]=>1001010=>[1,3,2,2] [2,1,9,4,6,8,3,5,7]=>10100100=>[1,2,3,3] [9,1,2,3,5,7,10,4,6,8]=>100000100=>[1,6,3] [1,8,2,4,6,9,3,5,7]=>01000100=>[2,4,3] [9,1,3,5,7,10,2,4,6,8]=>100001000=>[1,5,4] [7,3,1,2,8,4,5,6]=>1100100=>[1,1,3,3] [2,1,4,7,6,3,5,8]=>1001100=>[1,3,1,3] [7,2,4,5,3,8,1,6]=>1001010=>[1,3,2,2] [8,4,2,5,6,7,3,1]=>1100011=>[1,1,4,1,1] [5,4,1,6,3,7,8,2]=>1101001=>[1,1,2,3,1] [4,5,1,3,6,7,8,2]=>0100001=>[2,5,1] [5,1,7,6,3,4,8,2]=>1011001=>[1,2,1,3,1] [6,1,7,5,4,8,2,3]=>1011010=>[1,2,1,2,2] [3,7,2,1,6,8,4,5]=>0110010=>[2,1,3,2] [1,5,8,2,4,7,6,3]=>0010011=>[3,3,1,1] [5,8,1,6,4,7,3,2]=>0101011=>[2,2,2,1,1] [3,8,6,5,7,2,4,1]=>0110101=>[2,1,2,2,1] [6,8,1,4,7,3,5,2]=>0100101=>[2,3,2,1] [1,6,8,2,7,4,5,3]=>0010101=>[3,2,2,1] [5,7,2,1,8,4,3,6]=>0110110=>[2,1,2,1,2] [5,7,1,6,8,3,2,4]=>0100110=>[2,3,1,2] [5,6,2,1,8,3,4,7]=>0110100=>[2,1,2,3] [6,4,1,7,3,8,2,5]=>1101010=>[1,1,2,2,2] [8,2,5,6,7,1,4,3]=>1000101=>[1,4,2,1] [7,2,4,6,8,3,1,5]=>1000110=>[1,4,1,2] [6,2,4,7,8,1,3,5]=>1000100=>[1,4,3] [6,1,4,3,2,8,5,7]=>1011010=>[1,2,1,2,2] [2,7,4,8,6,1,5,3]=>0101101=>[2,2,1,2,1] [2,4,8,6,5,7,3,1]=>0011011=>[3,1,2,1,1] [3,7,8,6,4,2,5,1]=>0011101=>[3,1,1,2,1] [6,2,8,4,7,5,1,3]=>1010110=>[1,2,2,1,2] [4,5,7,3,6,8,1,2]=>0010010=>[3,3,2] [3,4,7,8,6,5,1,2]=>0001110=>[4,1,1,2] [1,4,7,2,6,8,5,3]=>0010011=>[3,3,1,1] [2,3,7,6,5,1,4,8]=>0011100=>[3,1,1,3] [3,2,7,6,4,1,5,8]=>1011100=>[1,2,1,1,3] [6,2,3,5,7,1,4,8]=>1000100=>[1,4,3] [7,8,1,2,5,6,4,3]=>0100011=>[2,4,1,1] [7,1,3,6,8,5,2,4]=>1000110=>[1,4,1,2] [4,2,8,5,1,6,3,7]=>1011010=>[1,2,1,2,2] [6,5,8,1,4,2,3,7]=>1010100=>[1,2,2,3] [3,8,2,4,5,1,6,7]=>0100100=>[2,3,3] [3,6,2,4,1,5,7,8]=>0101000=>[2,2,4] [2,3,8,4,1,6,5,7]=>0011010=>[3,1,2,2] [4,5,7,3,1,6,2,8]=>0011010=>[3,1,2,2] [2,3,1,4,8,5,7,6]=>0100101=>[2,3,2,1] [4,2,6,1,5,8,7,3]=>1010011=>[1,2,3,1,1] [7,5,1,8,4,3,6,2]=>1101101=>[1,1,2,1,2,1] [3,1,8,5,7,6,4,2]=>1010111=>[1,2,2,1,1,1] [5,1,8,7,4,6,3,2]=>1011011=>[1,2,1,2,1,1] [2,4,8,7,5,1,3,6]=>0011100=>[3,1,1,3] [3,5,7,6,1,8,4,2]=>0011011=>[3,1,2,1,1] [3,5,7,6,2,8,4,1]=>0011011=>[3,1,2,1,1] [1,5,3,2,8,7,6,4]=>0110111=>[2,1,2,1,1,1] [6,1,4,3,8,7,5,2]=>1010111=>[1,2,2,1,1,1] [6,3,1,8,7,4,2,5]=>1101110=>[1,1,2,1,1,2] [5,3,6,2,8,7,4,1]=>1010111=>[1,2,2,1,1,1] [6,3,5,2,1,8,7,4]=>1011011=>[1,2,1,2,1,1] [2,8,4,1,3,7,6,5]=>0110011=>[2,1,3,1,1] [3,8,1,4,7,6,5,2]=>0100111=>[2,3,1,1,1] [6,2,3,8,7,5,4,1]=>1001111=>[1,3,1,1,1,1] [4,1,3,5,8,7,6,2]=>1000111=>[1,4,1,1,1] [3,4,7,5,8,1,2,6]=>0010100=>[3,2,3] [2,7,8,3,4,1,5,6]=>0010100=>[3,2,3] [2,8,6,7,5,4,3,1]=>0101111=>[2,2,1,1,1,1] [7,2,6,8,1,4,3,5]=>1001010=>[1,3,2,2] [5,3,6,2,8,4,7,1]=>1010101=>[1,2,2,2,1] [8,1,6,3,7,4,5,2]=>1010101=>[1,2,2,2,1] [2,4,3,7,1,8,6,5]=>0101011=>[2,2,2,1,1] [2,6,5,7,3,8,4,1]=>0101011=>[2,2,2,1,1] [6,8,2,7,4,1,5,3]=>0101101=>[2,2,1,2,1] [6,1,7,8,5,3,2,4]=>1001110=>[1,3,1,1,2] [2,6,5,4,7,1,8,3]=>0110101=>[2,1,2,2,1] [5,8,3,4,6,1,7,2]=>0100101=>[2,3,2,1] [6,1,7,4,2,5,8,3]=>1011001=>[1,2,1,3,1] [6,8,7,1,5,4,2,3]=>0110110=>[2,1,2,1,2] [4,8,3,1,5,7,6,2]=>0110011=>[2,1,3,1,1] [5,3,8,2,7,1,6,4]=>1010101=>[1,2,2,2,1] [8,3,4,5,2,7,1,6]=>1001010=>[1,3,2,2] [8,2,6,7,1,5,3,4]=>1001010=>[1,3,2,2] [7,1,5,2,6,3,4,8]=>1010100=>[1,2,2,3] [3,7,1,5,2,6,8,4]=>0101001=>[2,2,3,1] [6,7,1,8,3,4,5,2]=>0101001=>[2,2,3,1] [3,7,1,6,8,4,5,2]=>0100101=>[2,3,2,1] [3,8,5,2,6,7,1,4]=>0110010=>[2,1,3,2] [3,6,5,2,7,1,4,8]=>0110100=>[2,1,2,3] [6,8,3,4,7,1,5,2]=>0100101=>[2,3,2,1] [3,7,1,6,5,2,8,4]=>0101101=>[2,2,1,2,1] [8,3,5,2,7,1,6,4]=>1010101=>[1,2,2,2,1] [3,8,6,4,7,1,5,2]=>0110101=>[2,1,2,2,1] [3,7,1,4,8,6,5,2]=>0100111=>[2,3,1,1,1] [3,7,1,4,5,2,8,6]=>0100101=>[2,3,2,1] [2,3,7,6,5,8,1,4]=>0011010=>[3,1,2,2] [4,3,5,6,7,8,9,1,2]=>10000010=>[1,6,2] [6,7,8,5,4,3,2,1,9]=>00111110=>[3,1,1,1,1,2] [6,5,7,8,4,3,2,1,9]=>10011110=>[1,3,1,1,1,2] [6,5,4,7,8,3,2,1,9]=>11001110=>[1,1,3,1,1,2] [6,5,4,3,7,8,2,1,9]=>11100110=>[1,1,1,3,1,2] [6,5,4,3,2,7,8,1,9]=>11110010=>[1,1,1,1,3,2] [7,8,9,5,4,3,2,1,6]=>00111110=>[3,1,1,1,1,2] [7,8,9,6,5,4,3,2,1,10]=>001111110=>[3,1,1,1,1,1,2] [6,7,8,9,4,3,2,1,5]=>00011110=>[4,1,1,1,2] [7,6,8,9,5,4,3,2,1,10]=>100111110=>[1,3,1,1,1,1,2] [6,5,7,8,9,3,2,1,4]=>10001110=>[1,4,1,1,2] [7,6,5,8,9,4,3,2,1,10]=>110011110=>[1,1,3,1,1,1,2] [6,5,4,7,8,9,2,1,3]=>11000110=>[1,1,4,1,2] [7,6,5,4,8,9,3,2,1,10]=>111001110=>[1,1,1,3,1,1,2] [6,5,4,3,7,8,9,1,2]=>11100010=>[1,1,1,4,2] [7,6,5,4,3,8,9,2,1,10]=>111100110=>[1,1,1,1,3,1,2] [6,5,4,3,2,7,8,9,1]=>11110001=>[1,1,1,1,4,1] [7,6,5,4,3,2,8,9,1,10]=>111110010=>[1,1,1,1,1,3,2] [2,1,4,3,6,5,8,7,11,12,9,10]=>10101010010=>[1,2,2,2,3,2] [2,1,4,3,6,5,9,10,7,8,12,11]=>10101001001=>[1,2,2,3,3,1] [2,1,4,3,6,5,9,11,7,12,8,10]=>10101001010=>[1,2,2,3,2,2] [2,1,4,3,6,5,10,11,12,7,8,9]=>10101000100=>[1,2,2,4,3] [2,1,4,3,7,8,5,6,10,9,12,11]=>10100100101=>[1,2,3,3,2,1] [2,1,4,3,7,8,5,6,11,12,9,10]=>10100100010=>[1,2,3,4,2] [2,1,4,3,7,9,5,10,6,8,12,11]=>10100101001=>[1,2,3,2,3,1] [2,1,4,3,7,9,5,11,6,12,8,10]=>10100101010=>[1,2,3,2,2,2] [2,1,4,3,7,10,5,11,12,6,8,9]=>10100100100=>[1,2,3,3,3] [2,1,4,3,8,9,10,5,6,7,12,11]=>10100010001=>[1,2,4,4,1] [2,1,4,3,8,9,11,5,6,12,7,10]=>10100010010=>[1,2,4,3,2] [2,1,4,3,8,10,11,5,12,6,7,9]=>10100010100=>[1,2,4,2,3] [2,1,4,3,9,10,11,12,5,6,7,8]=>10100001000=>[1,2,5,4] [2,1,5,6,3,4,8,7,10,9,12,11]=>10010010101=>[1,3,3,2,2,1] [2,1,5,6,3,4,8,7,11,12,9,10]=>10010010010=>[1,3,3,3,2] [2,1,5,6,3,4,9,10,7,8,12,11]=>10010001001=>[1,3,4,3,1] [2,1,5,6,3,4,9,11,7,12,8,10]=>10010001010=>[1,3,4,2,2] [2,1,5,6,3,4,10,11,12,7,8,9]=>10010000100=>[1,3,5,3] [2,1,5,7,3,8,4,6,10,9,12,11]=>10010100101=>[1,3,2,3,2,1] [2,1,5,7,3,8,4,6,11,12,9,10]=>10010100010=>[1,3,2,4,2] [2,1,5,7,3,9,4,10,6,8,12,11]=>10010101001=>[1,3,2,2,3,1] [2,1,5,7,3,9,4,11,6,12,8,10]=>10010101010=>[1,3,2,2,2,2] [2,1,5,7,3,10,4,11,12,6,8,9]=>10010100100=>[1,3,2,3,3] [2,1,5,8,3,9,10,4,6,7,12,11]=>10010010001=>[1,3,3,4,1] [2,1,5,8,3,9,11,4,6,12,7,10]=>10010010010=>[1,3,3,3,2] [2,1,5,8,3,10,11,4,12,6,7,9]=>10010010100=>[1,3,3,2,3] [2,1,5,9,3,10,11,12,4,6,7,8]=>10010001000=>[1,3,4,4] [2,1,6,7,8,3,4,5,10,9,12,11]=>10001000101=>[1,4,4,2,1] [2,1,6,7,8,3,4,5,11,12,9,10]=>10001000010=>[1,4,5,2] [2,1,6,7,9,3,4,10,5,8,12,11]=>10001001001=>[1,4,3,3,1] [2,1,6,7,9,3,4,11,5,12,8,10]=>10001001010=>[1,4,3,2,2] [2,1,6,7,10,3,4,11,12,5,8,9]=>10001000100=>[1,4,4,3] [2,1,6,8,9,3,10,4,5,7,12,11]=>10001010001=>[1,4,2,4,1] [2,1,6,8,9,3,11,4,5,12,7,10]=>10001010010=>[1,4,2,3,2] [2,1,6,8,10,3,11,4,12,5,7,9]=>10001010100=>[1,4,2,2,3] [2,1,6,9,10,3,11,12,4,5,7,8]=>10001001000=>[1,4,3,4] [2,1,7,8,9,10,3,4,5,6,12,11]=>10000100001=>[1,5,5,1] [2,1,7,8,9,11,3,4,5,12,6,10]=>10000100010=>[1,5,4,2] [2,1,7,8,10,11,3,4,12,5,6,9]=>10000100100=>[1,5,3,3] [2,1,7,9,10,11,3,12,4,5,6,8]=>10000101000=>[1,5,2,4] [2,1,8,9,10,11,12,3,4,5,6,7]=>10000010000=>[1,6,5] [3,4,1,2,6,5,8,7,10,9,12,11]=>01001010101=>[2,3,2,2,2,1] [3,4,1,2,6,5,8,7,11,12,9,10]=>01001010010=>[2,3,2,3,2] [3,4,1,2,6,5,9,10,7,8,12,11]=>01001001001=>[2,3,3,3,1] [3,4,1,2,6,5,9,11,7,12,8,10]=>01001001010=>[2,3,3,2,2] [3,4,1,2,6,5,10,11,12,7,8,9]=>01001000100=>[2,3,4,3] [3,4,1,2,7,8,5,6,10,9,12,11]=>01000100101=>[2,4,3,2,1] [3,4,1,2,7,8,5,6,11,12,9,10]=>01000100010=>[2,4,4,2] [3,4,1,2,7,9,5,10,6,8,12,11]=>01000101001=>[2,4,2,3,1] [3,4,1,2,7,9,5,11,6,12,8,10]=>01000101010=>[2,4,2,2,2] [3,4,1,2,7,10,5,11,12,6,8,9]=>01000100100=>[2,4,3,3] [3,4,1,2,8,9,10,5,6,7,12,11]=>01000010001=>[2,5,4,1] [3,4,1,2,8,9,11,5,6,12,7,10]=>01000010010=>[2,5,3,2] [3,4,1,2,8,10,11,5,12,6,7,9]=>01000010100=>[2,5,2,3] [3,4,1,2,9,10,11,12,5,6,7,8]=>01000001000=>[2,6,4] [3,5,1,6,2,4,8,7,10,9,12,11]=>01010010101=>[2,2,3,2,2,1] [3,5,1,6,2,4,8,7,11,12,9,10]=>01010010010=>[2,2,3,3,2] [3,5,1,6,2,4,9,10,7,8,12,11]=>01010001001=>[2,2,4,3,1] [3,5,1,6,2,4,9,11,7,12,8,10]=>01010001010=>[2,2,4,2,2] [3,5,1,6,2,4,10,11,12,7,8,9]=>01010000100=>[2,2,5,3] [3,5,1,7,2,8,4,6,10,9,12,11]=>01010100101=>[2,2,2,3,2,1] [3,5,1,7,2,8,4,6,11,12,9,10]=>01010100010=>[2,2,2,4,2] [3,5,1,7,2,9,4,10,6,8,12,11]=>01010101001=>[2,2,2,2,3,1] [3,5,1,7,2,9,4,11,6,12,8,10]=>01010101010=>[2,2,2,2,2,2] [3,5,1,7,2,10,4,11,12,6,8,9]=>01010100100=>[2,2,2,3,3] [3,5,1,8,2,9,10,4,6,7,12,11]=>01010010001=>[2,2,3,4,1] [3,5,1,8,2,9,11,4,6,12,7,10]=>01010010010=>[2,2,3,3,2] [3,5,1,8,2,10,11,4,12,6,7,9]=>01010010100=>[2,2,3,2,3] [3,5,1,9,2,10,11,12,4,6,7,8]=>01010001000=>[2,2,4,4] [3,6,1,7,8,2,4,5,10,9,12,11]=>01001000101=>[2,3,4,2,1] [3,6,1,7,8,2,4,5,11,12,9,10]=>01001000010=>[2,3,5,2] [3,6,1,7,9,2,4,10,5,8,12,11]=>01001001001=>[2,3,3,3,1] [3,6,1,7,9,2,4,11,5,12,8,10]=>01001001010=>[2,3,3,2,2] [3,6,1,7,10,2,4,11,12,5,8,9]=>01001000100=>[2,3,4,3] [3,6,1,8,9,2,10,4,5,7,12,11]=>01001010001=>[2,3,2,4,1] [3,6,1,8,9,2,11,4,5,12,7,10]=>01001010010=>[2,3,2,3,2] [3,6,1,8,10,2,11,4,12,5,7,9]=>01001010100=>[2,3,2,2,3] [3,6,1,9,10,2,11,12,4,5,7,8]=>01001001000=>[2,3,3,4] [3,7,1,8,9,10,2,4,5,6,12,11]=>01000100001=>[2,4,5,1] [3,7,1,8,9,11,2,4,5,12,6,10]=>01000100010=>[2,4,4,2] [3,7,1,8,10,11,2,4,12,5,6,9]=>01000100100=>[2,4,3,3] [3,7,1,9,10,11,2,12,4,5,6,8]=>01000101000=>[2,4,2,4] [3,8,1,9,10,11,12,2,4,5,6,7]=>01000010000=>[2,5,5] [4,5,6,1,2,3,8,7,10,9,12,11]=>00100010101=>[3,4,2,2,1] [4,5,6,1,2,3,8,7,11,12,9,10]=>00100010010=>[3,4,3,2] [4,5,6,1,2,3,9,10,7,8,12,11]=>00100001001=>[3,5,3,1] [4,5,6,1,2,3,9,11,7,12,8,10]=>00100001010=>[3,5,2,2] [4,5,6,1,2,3,10,11,12,7,8,9]=>00100000100=>[3,6,3] [4,5,7,1,2,8,3,6,10,9,12,11]=>00100100101=>[3,3,3,2,1] [4,5,7,1,2,8,3,6,11,12,9,10]=>00100100010=>[3,3,4,2] [4,5,7,1,2,9,3,10,6,8,12,11]=>00100101001=>[3,3,2,3,1] [4,5,7,1,2,9,3,11,6,12,8,10]=>00100101010=>[3,3,2,2,2] [4,5,7,1,2,10,3,11,12,6,8,9]=>00100100100=>[3,3,3,3] [4,5,8,1,2,9,10,3,6,7,12,11]=>00100010001=>[3,4,4,1] [4,5,8,1,2,9,11,3,6,12,7,10]=>00100010010=>[3,4,3,2] [4,5,8,1,2,10,11,3,12,6,7,9]=>00100010100=>[3,4,2,3] [4,5,9,1,2,10,11,12,3,6,7,8]=>00100001000=>[3,5,4] [4,6,7,1,8,2,3,5,10,9,12,11]=>00101000101=>[3,2,4,2,1] [4,6,7,1,8,2,3,5,11,12,9,10]=>00101000010=>[3,2,5,2] [4,6,7,1,9,2,3,10,5,8,12,11]=>00101001001=>[3,2,3,3,1] [4,6,7,1,9,2,3,11,5,12,8,10]=>00101001010=>[3,2,3,2,2] [4,6,7,1,10,2,3,11,12,5,8,9]=>00101000100=>[3,2,4,3] [4,6,8,1,9,2,10,3,5,7,12,11]=>00101010001=>[3,2,2,4,1] [4,6,8,1,9,2,11,3,5,12,7,10]=>00101010010=>[3,2,2,3,2] [4,6,8,1,10,2,11,3,12,5,7,9]=>00101010100=>[3,2,2,2,3] [4,6,9,1,10,2,11,12,3,5,7,8]=>00101001000=>[3,2,3,4] [4,7,8,1,9,10,2,3,5,6,12,11]=>00100100001=>[3,3,5,1] [4,7,8,1,9,11,2,3,5,12,6,10]=>00100100010=>[3,3,4,2] [4,7,8,1,10,11,2,3,12,5,6,9]=>00100100100=>[3,3,3,3] [4,7,9,1,10,11,2,12,3,5,6,8]=>00100101000=>[3,3,2,4] [4,8,9,1,10,11,12,2,3,5,6,7]=>00100010000=>[3,4,5] [5,6,7,8,1,2,3,4,10,9,12,11]=>00010000101=>[4,5,2,1] [5,6,7,8,1,2,3,4,11,12,9,10]=>00010000010=>[4,6,2] [5,6,7,9,1,2,3,10,4,8,12,11]=>00010001001=>[4,4,3,1] [5,6,7,9,1,2,3,11,4,12,8,10]=>00010001010=>[4,4,2,2] [5,6,7,10,1,2,3,11,12,4,8,9]=>00010000100=>[4,5,3] [5,6,8,9,1,2,10,3,4,7,12,11]=>00010010001=>[4,3,4,1] [5,6,8,9,1,2,11,3,4,12,7,10]=>00010010010=>[4,3,3,2] [5,6,8,10,1,2,11,3,12,4,7,9]=>00010010100=>[4,3,2,3] [5,6,9,10,1,2,11,12,3,4,7,8]=>00010001000=>[4,4,4] [5,7,8,9,1,10,2,3,4,6,12,11]=>00010100001=>[4,2,5,1] [5,7,8,9,1,11,2,3,4,12,6,10]=>00010100010=>[4,2,4,2] [5,7,8,10,1,11,2,3,12,4,6,9]=>00010100100=>[4,2,3,3] [5,7,9,10,1,11,2,12,3,4,6,8]=>00010101000=>[4,2,2,4] [5,8,9,10,1,11,12,2,3,4,6,7]=>00010010000=>[4,3,5] [6,7,8,9,10,1,2,3,4,5,12,11]=>00001000001=>[5,6,1] [6,7,8,9,11,1,2,3,4,12,5,10]=>00001000010=>[5,5,2] [6,7,8,10,11,1,2,3,12,4,5,9]=>00001000100=>[5,4,3] [6,7,9,10,11,1,2,12,3,4,5,8]=>00001001000=>[5,3,4] [6,8,9,10,11,1,12,2,3,4,5,7]=>00001010000=>[5,2,5] [3,5,7,6,8,2,1,4]=>0010110=>[3,2,1,2] [4,2,5,3,7,6,1,8]=>1010110=>[1,2,2,1,2] [6,2,4,3,7,5,1,8]=>1010110=>[1,2,2,1,2] [1,3,6,4,7,5,2,8]=>0010110=>[3,2,1,2] [8,2,5,3,6,4,1,7]=>1010110=>[1,2,2,1,2] [7,2,5,3,6,4,1,8]=>1010110=>[1,2,2,1,2] [6,2,5,3,7,4,1,8]=>1010110=>[1,2,2,1,2] [4,2,6,3,7,5,1,8]=>1010110=>[1,2,2,1,2] [5,2,7,3,6,4,1,8]=>1010110=>[1,2,2,1,2] [7,3,6,2,5,4,1,8]=>1010110=>[1,2,2,1,2] [6,3,8,2,5,4,1,7]=>1010110=>[1,2,2,1,2] [7,3,1,4,6,5,2,8]=>1100110=>[1,1,3,1,2] [8,3,7,2,5,4,1,6]=>1010110=>[1,2,2,1,2] [5,2,8,3,6,4,1,7]=>1010110=>[1,2,2,1,2] [3,2,8,4,6,5,1,7]=>1010110=>[1,2,2,1,2] [1,4,7,3,6,5,2,8]=>0010110=>[3,2,1,2] [8,2,5,4,1,6,3,7]=>1011010=>[1,2,1,2,2] [8,2,6,4,1,5,3,7]=>1011010=>[1,2,1,2,2] [1,4,8,3,7,5,2,6]=>0010110=>[3,2,1,2] [6,2,1,4,8,5,3,7]=>1100110=>[1,1,3,1,2] [5,2,1,4,8,6,3,7]=>1100110=>[1,1,3,1,2] [3,2,1,5,8,6,4,7]=>1100110=>[1,1,3,1,2] [4,2,8,3,7,5,1,6]=>1010110=>[1,2,2,1,2] [5,2,8,3,7,4,1,6]=>1010110=>[1,2,2,1,2] [8,3,7,2,6,4,1,5]=>1010110=>[1,2,2,1,2] [7,3,1,4,8,5,2,6]=>1100110=>[1,1,3,1,2] [1,3,7,4,8,5,2,6]=>0010110=>[3,2,1,2] [8,2,6,3,7,4,1,5]=>1010110=>[1,2,2,1,2] [7,2,6,3,8,4,1,5]=>1010110=>[1,2,2,1,2] [5,2,7,3,8,4,1,6]=>1010110=>[1,2,2,1,2] [3,2,7,4,8,5,1,6]=>1010110=>[1,2,2,1,2] [5,2,6,3,8,4,1,7]=>1010110=>[1,2,2,1,2] [6,2,5,3,8,4,1,7]=>1010110=>[1,2,2,1,2] [7,2,5,3,8,4,1,6]=>1010110=>[1,2,2,1,2] [8,2,5,3,7,4,1,6]=>1010110=>[1,2,2,1,2] [1,3,6,4,8,5,2,7]=>0010110=>[3,2,1,2] [1,3,5,4,8,6,2,7]=>0010110=>[3,2,1,2] [8,2,4,3,7,5,1,6]=>1010110=>[1,2,2,1,2] [7,2,4,3,8,5,1,6]=>1010110=>[1,2,2,1,2] [6,2,4,3,8,5,1,7]=>1010110=>[1,2,2,1,2] [5,2,4,3,8,6,1,7]=>1010110=>[1,2,2,1,2] [4,2,5,3,8,6,1,7]=>1010110=>[1,2,2,1,2] [4,2,5,3,1,7,6,8]=>1011010=>[1,2,1,2,2] [6,2,4,3,1,7,5,8]=>1011010=>[1,2,1,2,2] [7,2,4,3,1,6,5,8]=>1011010=>[1,2,1,2,2] [8,5,1,3,6,4,2,7]=>1100110=>[1,1,3,1,2] [8,4,1,3,6,5,2,7]=>1100110=>[1,1,3,1,2] [1,5,2,4,7,6,3,8]=>0100110=>[2,3,1,2] [7,2,5,3,1,6,4,8]=>1011010=>[1,2,1,2,2] [6,2,5,3,1,7,4,8]=>1011010=>[1,2,1,2,2] [4,2,6,3,1,7,5,8]=>1011010=>[1,2,1,2,2] [3,2,6,4,1,7,5,8]=>1011010=>[1,2,1,2,2] [3,2,7,4,1,6,5,8]=>1011010=>[1,2,1,2,2] [4,2,7,3,1,6,5,8]=>1011010=>[1,2,1,2,2] [5,2,7,3,1,6,4,8]=>1011010=>[1,2,1,2,2] [6,2,7,3,1,5,4,8]=>1011010=>[1,2,1,2,2] [7,2,6,3,1,5,4,8]=>1011010=>[1,2,1,2,2] [1,5,2,4,8,6,3,7]=>0100110=>[2,3,1,2] [8,4,1,3,7,5,2,6]=>1100110=>[1,1,3,1,2] [6,2,1,5,3,7,4,8]=>1101010=>[1,1,2,2,2] [3,2,1,6,4,7,5,8]=>1101010=>[1,1,2,2,2] [3,2,8,5,1,6,4,7]=>1011010=>[1,2,1,2,2] [6,2,8,4,1,5,3,7]=>1011010=>[1,2,1,2,2] [8,3,7,4,1,5,2,6]=>1011010=>[1,2,1,2,2] [7,1,3,2,5,6,4,8]=>1010010=>[1,2,3,2] [6,3,5,2,4,8,1,7]=>1010010=>[1,2,3,2] [1,5,2,8,7,4,3,6]=>0101110=>[2,2,1,1,2] [5,7,2,8,1,4,3,6]=>0101010=>[2,2,2,2] [4,8,3,1,5,2,7,6]=>0110101=>[2,1,2,2,1] [7,1,5,3,2,6,8,4]=>1011001=>[1,2,1,3,1] [3,1,5,7,8,6,2,4]=>1000110=>[1,4,1,2] [8,7,6,5,3,2,1,4,9]=>11111100=>[1,1,1,1,1,1,3] [8,7,6,4,3,2,1,5,9]=>11111100=>[1,1,1,1,1,1,3] [8,7,5,4,3,2,1,6,9]=>11111100=>[1,1,1,1,1,1,3] [8,7,6,5,4,1,2,3,9]=>11111000=>[1,1,1,1,1,4] [9,8,7,6,5,4,2,1,3,10]=>111111100=>[1,1,1,1,1,1,1,3] [8,7,6,5,2,3,1,4,9]=>11110100=>[1,1,1,1,2,3] [9,8,7,6,5,3,2,1,4,10]=>111111100=>[1,1,1,1,1,1,1,3] [8,7,6,3,4,2,1,5,9]=>11101100=>[1,1,1,2,1,3] [9,8,7,6,4,3,2,1,5,10]=>111111100=>[1,1,1,1,1,1,1,3] [8,7,4,5,3,2,1,6,9]=>11011100=>[1,1,2,1,1,3] [9,8,7,5,4,3,2,1,6,10]=>111111100=>[1,1,1,1,1,1,1,3] [8,5,6,4,3,2,1,7,9]=>10111100=>[1,2,1,1,1,3] [9,8,6,5,4,3,2,1,7,10]=>111111100=>[1,1,1,1,1,1,1,3] [6,7,5,4,3,2,1,8,9]=>01111100=>[2,1,1,1,1,3] [8,6,2,3,1,5,7,4]=>1101001=>[1,1,2,3,1] [2,5,1,7,4,8,6,3]=>0101011=>[2,2,2,1,1] [8,6,7,3,5,2,1,4]=>1010110=>[1,2,2,1,2] [1,4,2,7,3,6,8,5]=>0101001=>[2,2,3,1] [3,2,1,7,8,5,4,6]=>1100110=>[1,1,3,1,2] [7,3,4,2,1,5,8,6]=>1011001=>[1,2,1,3,1] [1,7,6,3,2,4,8,5]=>0111001=>[2,1,1,3,1] [2,1,6,4,7,8,5,3]=>1010011=>[1,2,3,1,1] [1,6,3,2,4,7,8,5]=>0110001=>[2,1,4,1] [1,2,3,7,5,8,4,6]=>0001010=>[4,2,2] [1,8,5,3,2,4,7,6]=>0111001=>[2,1,1,3,1] [4,7,8,1,5,6,2,3]=>0010010=>[3,3,2] [3,6,7,1,8,4,2,5]=>0010110=>[3,2,1,2] [1,3,7,6,2,4,5,8]=>0011000=>[3,1,4] [2,7,3,8,4,5,6,1]=>0101001=>[2,2,3,1] [7,1,4,3,8,5,6,2]=>1010101=>[1,2,2,2,1] [5,6,2,7,8,3,4,1]=>0100101=>[2,3,2,1] [7,4,1,8,5,6,2,3]=>1101010=>[1,1,2,2,2] [7,2,5,8,1,6,3,4]=>1001010=>[1,3,2,2] [6,4,8,1,5,7,2,3]=>1010010=>[1,2,3,2] [2,7,4,1,3,6,8,5]=>0110001=>[2,1,4,1] [5,2,1,8,4,6,7,3]=>1101001=>[1,1,2,3,1] [6,2,1,4,7,5,8,3]=>1100101=>[1,1,3,2,1] [6,8,7,9,5,4,3,2,1]=>01011111=>[2,2,1,1,1,1,1] [5,8,7,6,9,4,3,2,1]=>01101111=>[2,1,2,1,1,1,1] [4,8,7,6,5,9,3,2,1]=>01110111=>[2,1,1,2,1,1,1] [3,8,7,6,5,4,9,2,1]=>01111011=>[2,1,1,1,2,1,1] [2,8,7,6,5,4,3,9,1]=>01111101=>[2,1,1,1,1,2,1] [1,2,8,4,6,3,5,7]=>0010100=>[3,2,3] [2,6,1,5,4,7,3,8]=>0101010=>[2,2,2,2] [1,2,8,5,4,6,3,7]=>0011010=>[3,1,2,2] [1,3,6,8,4,5,7,2]=>0001001=>[4,3,1] [1,2,8,4,6,3,7,5]=>0010101=>[3,2,2,1] [4,6,3,5,7,8,1,2]=>0100010=>[2,4,2] [2,7,6,5,1,4,8,3]=>0111001=>[2,1,1,3,1] [2,7,4,8,1,3,6,5]=>0101001=>[2,2,3,1] [2,3,6,8,4,1,7,5]=>0001101=>[4,1,2,1] [1,2,6,8,4,7,5,3]=>0001011=>[4,2,1,1] [1,7,2,8,6,3,5,4]=>0101101=>[2,2,1,2,1] [2,3,8,5,4,7,1,6]=>0011010=>[3,1,2,2] [1,2,8,4,7,3,5,6]=>0010100=>[3,2,3] [2,6,1,4,8,3,7,5]=>0100101=>[2,3,2,1] [3,7,6,5,2,1,4,8]=>0111100=>[2,1,1,1,3] [2,5,6,1,4,8,7,3]=>0010011=>[3,3,1,1] [8,4,2,3,7,1,6,5]=>1100101=>[1,1,3,2,1] [5,2,4,8,7,3,1,6]=>1001110=>[1,3,1,1,2] [3,2,4,6,7,8,1,5]=>1000010=>[1,5,2] [5,2,6,8,1,3,7,4]=>1001001=>[1,3,3,1] [4,8,1,6,3,7,5,2]=>0101011=>[2,2,2,1,1] [7,1,5,2,6,4,3,8]=>1010110=>[1,2,2,1,2] [8,3,5,2,6,1,4,7]=>1010100=>[1,2,2,3] [1,8,5,6,2,7,4,3]=>0101011=>[2,2,2,1,1] [4,2,7,6,1,8,5,3]=>1011011=>[1,2,1,2,1,1] [7,2,4,8,6,3,5,1]=>1001101=>[1,3,1,2,1] [7,3,2,1,8,5,4,6]=>1110110=>[1,1,1,2,1,2] [7,3,2,1,6,4,8,5]=>1110101=>[1,1,1,2,2,1] [3,6,5,2,1,8,4,7]=>0111010=>[2,1,1,2,2] [6,7,2,4,3,5,8,1]=>0101001=>[2,2,3,1] [4,5,3,7,2,1,6,8]=>0101100=>[2,2,1,3] [4,3,8,2,1,5,7,6]=>1011001=>[1,2,1,3,1] [4,3,2,8,1,6,7,5]=>1101001=>[1,1,2,3,1] [4,5,8,3,2,7,1,6]=>0011010=>[3,1,2,2] [6,8,5,2,7,3,4,1]=>0110101=>[2,1,2,2,1] [5,4,7,8,2,3,6,1]=>1001001=>[1,3,3,1] [4,3,8,2,1,6,7,5]=>1011001=>[1,2,1,3,1] [1,9,2,4,5,6,7,8,3]=>01000001=>[2,6,1] [9,1,3,4,5,6,7,8,2]=>10000001=>[1,7,1] [3,5,7,4,6,2,8,1]=>0010101=>[3,2,2,1] [5,3,7,6,2,4,8,1]=>1011001=>[1,2,1,3,1] [4,6,7,2,5,3,8,1]=>0010101=>[3,2,2,1] [6,4,7,8,3,1,5,2]=>1001101=>[1,3,1,2,1] [8,4,7,3,1,5,6,2]=>1011001=>[1,2,1,3,1] [5,8,1,7,6,4,2,3]=>0101110=>[2,2,1,1,2] [5,6,7,1,8,3,4,2]=>0010101=>[3,2,2,1] [7,1,8,6,2,5,4,3]=>1011011=>[1,2,1,2,1,1] [8,5,1,7,6,4,2,3]=>1101110=>[1,1,2,1,1,2] [1,5,8,2,6,4,7,3]=>0010101=>[3,2,2,1] [1,5,7,4,6,8,3,2]=>0010011=>[3,3,1,1] [1,4,7,5,6,8,3,2]=>0010011=>[3,3,1,1] [5,6,7,4,8,1,3,2]=>0010101=>[3,2,2,1] [8,1,2,6,4,5,7,3]=>1001001=>[1,3,3,1] [4,8,1,7,2,5,6,3]=>0101001=>[2,2,3,1] [2,6,7,1,5,4,8,3]=>0010101=>[3,2,2,1] [3,2,7,6,5,8,1,4]=>1011010=>[1,2,1,2,2] [1,7,3,4,5,8,2,6]=>0100010=>[2,4,2] [7,1,8,4,5,6,3,2]=>1010011=>[1,2,3,1,1] [10,1,3,4,5,6,7,8,9,2]=>100000001=>[1,8,1] [1,2,3,4,5,6,7,8,11,9,10]=>0000000010=>[9,2] [1,8,3,4,5,6,9,2,7]=>01000010=>[2,5,2] [8,2,3,4,5,1,9,7,6]=>10001011=>[1,4,2,1,1] [1,2,7,4,5,8,3,6]=>0010010=>[3,3,2] [8,1,9,4,5,6,7,3,2]=>10100011=>[1,2,4,1,1] [7,9,3,4,5,6,1,8,2]=>01000101=>[2,4,2,1] [11,1,3,4,5,6,7,8,9,10,2]=>1000000001=>[1,9,1] [1,2,3,4,5,6,7,8,9,12,10,11]=>00000000010=>[10,2] [10,2,3,4,5,6,7,8,11,1,9]=>1000000010=>[1,8,2] [1,9,3,4,5,6,7,10,2,8]=>010000010=>[2,6,2] [9,2,3,4,5,6,1,10,8,7]=>100001011=>[1,5,2,1,1] [1,2,8,4,5,6,9,3,7]=>00100010=>[3,4,2] [7,8,3,4,5,2,9,1,6]=>01001010=>[2,3,2,2] [8,2,3,4,1,6,9,7,5]=>10010011=>[1,3,3,1,1] [6,7,3,2,5,8,1,4]=>0110010=>[2,1,3,2] [8,1,3,9,5,6,7,4,2]=>10010011=>[1,3,3,1,1] [6,1,8,4,5,3,7,2]=>1010101=>[1,2,2,2,1] [7,8,9,4,5,6,3,1,2]=>00100110=>[3,3,1,2] [9,1,10,4,5,6,7,8,3,2]=>101000011=>[1,2,5,1,1] [6,9,3,4,5,1,7,8,2]=>01001001=>[2,3,3,1] [8,10,3,4,5,6,7,1,9,2]=>010000101=>[2,5,2,1] [10,11,3,4,5,6,7,8,9,1,2]=>0100000010=>[2,7,2] [12,1,3,4,5,6,7,8,9,10,11,2]=>10000000001=>[1,10,1] [4,6,2,5,1,8,7,3]=>0101011=>[2,2,2,1,1] [5,1,4,6,2,8,7,3]=>1001011=>[1,3,2,1,1] [7,3,5,2,1,6,8,4]=>1011001=>[1,2,1,3,1] [8,5,1,2,6,3,7,4]=>1100101=>[1,1,3,2,1] [1,5,8,7,4,6,3,2]=>0011011=>[3,1,2,1,1] [5,7,2,1,3,6,8,4]=>0110001=>[2,1,4,1] [3,7,2,6,8,1,5,4]=>0100101=>[2,3,2,1] [7,4,8,6,5,1,3,2]=>1011101=>[1,2,1,1,2,1] [2,7,6,8,5,1,4,3]=>0101101=>[2,2,1,2,1] [1,6,4,5,7,3,8,2]=>0100101=>[2,3,2,1] [1,5,4,7,8,6,2,3]=>0100110=>[2,3,1,2] [7,3,1,6,8,2,5,4]=>1100101=>[1,1,3,2,1] [7,1,6,8,5,2,4,3]=>1001101=>[1,3,1,2,1] [3,5,8,7,6,4,1,2]=>0011110=>[3,1,1,1,2] [1,5,7,8,6,2,4,3]=>0001101=>[4,1,2,1] [3,6,2,1,4,7,8,5]=>0110001=>[2,1,4,1] [6,8,2,7,5,4,3,1]=>0101111=>[2,2,1,1,1,1] [5,8,1,7,6,4,3,2]=>0101111=>[2,2,1,1,1,1] [10,6,1,2,3,4,9,5,7,8]=>110000100=>[1,1,5,3] [10,7,1,2,3,4,9,5,6,8]=>110000100=>[1,1,5,3] [9,10,1,2,3,4,8,5,6,7]=>010000100=>[2,5,3] [10,1,5,2,3,4,6,7,8,9]=>101000000=>[1,2,7] [10,1,2,5,3,4,6,7,8,9]=>100100000=>[1,3,6] [5,1,2,3,10,4,6,7,8,9]=>100010000=>[1,4,5] [7,6,1,2,3,4,10,9,5,8]=>110000110=>[1,1,5,1,2] [9,7,1,2,3,4,8,5,10,6]=>110000101=>[1,1,5,2,1] [5,9,1,2,3,4,6,7,10,8]=>010000001=>[2,7,1] [10,8,4,9,1,2,3,5,6,7]=>110100000=>[1,1,2,6] [2,10,1,5,3,4,6,7,8,9]=>010100000=>[2,2,6] [3,1,5,2,10,4,6,7,8,9]=>101010000=>[1,2,2,5] [5,11,1,2,10,3,4,6,7,8,9]=>0100100000=>[2,3,6] [4,1,2,10,3,5,6,7,8,9]=>100100000=>[1,3,6] [5,11,1,2,3,10,4,6,7,8,9]=>0100010000=>[2,4,5] [4,1,5,6,7,8,9,2,3]=>10000010=>[1,6,2] [2,3,4,5,6,7,8,10,11,1,9]=>0000000010=>[9,2] [2,3,4,5,8,9,1,6,7]=>00000100=>[6,3] [2,4,5,6,7,8,9,10,11,1,3]=>0000000010=>[9,2] [3,4,5,6,7,8,9,10,11,1,2]=>0000000010=>[9,2] [8,6,3,2,1,5,4,7]=>1111010=>[1,1,1,1,2,2] [8,5,3,2,4,1,7,6]=>1110101=>[1,1,1,2,2,1] [7,5,2,4,3,6,8,1]=>1101001=>[1,1,2,3,1] [8,5,1,4,6,3,2,7]=>1100110=>[1,1,3,1,2] [8,5,1,6,3,4,2,7]=>1101010=>[1,1,2,2,2] [8,4,3,6,1,5,2,7]=>1101010=>[1,1,2,2,2] [8,4,3,5,2,1,7,6]=>1101101=>[1,1,2,1,2,1] [6,4,3,2,8,7,1,5]=>1110110=>[1,1,1,2,1,2] [8,5,1,4,3,7,2,6]=>1101010=>[1,1,2,2,2] [8,5,4,2,1,3,7,6]=>1111001=>[1,1,1,1,3,1] [4,7,3,6,1,8,5,2]=>0101011=>[2,2,2,1,1] [7,6,2,4,1,5,8,3]=>1101001=>[1,1,2,3,1] [8,1,6,3,7,4,2,5]=>1010110=>[1,2,2,1,2] [5,3,8,2,6,7,1,4]=>1010010=>[1,2,3,2] [8,2,5,1,7,6,3,4]=>1010110=>[1,2,2,1,2] [8,2,4,6,3,7,1,5]=>1001010=>[1,3,2,2] [7,2,6,4,3,5,8,1]=>1011001=>[1,2,1,3,1] [7,3,6,2,4,5,8,1]=>1010001=>[1,2,4,1] [8,3,7,2,1,4,6,5]=>1011001=>[1,2,1,3,1] [7,6,4,1,3,2,8,5]=>1110101=>[1,1,1,2,2,1] [7,3,8,2,1,5,6,4]=>1011001=>[1,2,1,3,1] [6,2,5,7,4,3,8,1]=>1001101=>[1,3,1,2,1] [6,2,5,4,8,7,1,3]=>1010110=>[1,2,2,1,2] [7,2,4,8,5,1,6,3]=>1001101=>[1,3,1,2,1] [4,2,7,6,8,5,1,3]=>1010110=>[1,2,2,1,2] [7,1,6,2,8,5,4,3]=>1010111=>[1,2,2,1,1,1] [7,1,6,3,8,5,2,4]=>1010110=>[1,2,2,1,2] [7,2,6,8,1,3,5,4]=>1001001=>[1,3,3,1] [7,2,8,5,1,3,6,4]=>1011001=>[1,2,1,3,1] [7,1,8,5,3,2,6,4]=>1011101=>[1,2,1,1,2,1] [7,1,8,2,5,6,4,3]=>1010011=>[1,2,3,1,1] [6,1,5,8,7,2,4,3]=>1001101=>[1,3,1,2,1] [6,1,5,7,4,8,3,2]=>1001011=>[1,3,2,1,1] [6,1,5,7,8,3,4,2]=>1000101=>[1,4,2,1] [4,6,7,3,1,8,5,2]=>0011011=>[3,1,2,1,1] [4,2,6,3,1,8,7,5]=>1011011=>[1,2,1,2,1,1] [6,1,4,2,5,8,7,3]=>1010011=>[1,2,3,1,1] [1,5,3,8,4,6,2,7]=>0101010=>[2,2,2,2] [7,2,3,5,8,4,1,6]=>1000110=>[1,4,1,2] [7,6,4,2,8,5,1,3]=>1110110=>[1,1,1,2,1,2] [1,7,6,4,8,5,3,2]=>0110111=>[2,1,2,1,1,1] [8,7,4,2,1,5,6,3]=>1111001=>[1,1,1,1,3,1] [8,2,3,5,1,4,6,7]=>1001000=>[1,3,4] [8,7,4,1,3,2,6,5]=>1110101=>[1,1,1,2,2,1] [7,1,4,8,3,6,2,5]=>1001010=>[1,3,2,2] [4,1,8,5,7,6,2,3]=>1010110=>[1,2,2,1,2] [3,7,5,8,4,2,1,6]=>0101110=>[2,2,1,1,2] [6,1,5,8,3,4,2,7]=>1001010=>[1,3,2,2] [6,7,5,1,3,2,4,8]=>0110100=>[2,1,2,3] [5,2,6,1,7,3,4,8]=>1010100=>[1,2,2,3] [4,2,6,8,3,7,1,5]=>1001010=>[1,3,2,2] [6,8,5,1,4,2,3,7]=>0110100=>[2,1,2,3] [7,8,4,5,1,3,6,2]=>0101001=>[2,2,3,1] [1,7,8,5,3,4,6,2]=>0011001=>[3,1,3,1] [1,5,8,3,6,4,7,2]=>0010101=>[3,2,2,1] [6,3,8,1,4,2,7,5]=>1010101=>[1,2,2,2,1] [4,8,1,5,6,3,7,2]=>0100101=>[2,3,2,1] [1,8,2,6,5,3,7,4]=>0101101=>[2,2,1,2,1] [3,8,1,7,2,6,5,4]=>0101011=>[2,2,2,1,1] [7,3,8,1,2,6,5,4]=>1010011=>[1,2,3,1,1] [8,1,4,2,3,5,7,6]=>1010001=>[1,2,4,1] [8,1,2,4,6,5,7,3]=>1000101=>[1,4,2,1] [5,1,8,3,7,4,6,2]=>1010101=>[1,2,2,2,1] [8,3,7,1,5,4,6,2]=>1010101=>[1,2,2,2,1] [8,4,7,1,5,3,6,2]=>1010101=>[1,2,2,2,1] [7,2,5,3,4,6,1,8]=>1010010=>[1,2,3,2] [7,6,4,2,5,3,1,8]=>1110110=>[1,1,1,2,1,2] [5,8,4,3,6,2,7,1]=>0110101=>[2,1,2,2,1] [1,7,2,6,3,4,8,5]=>0101001=>[2,2,3,1] [7,5,1,6,3,2,4,8]=>1101100=>[1,1,2,1,3] [7,1,2,6,3,4,5,8]=>1001000=>[1,3,4] [7,2,5,1,6,3,4,8]=>1010100=>[1,2,2,3] [7,3,1,4,6,2,5,8]=>1100100=>[1,1,3,3] [7,1,6,5,4,2,3,8]=>1011100=>[1,2,1,1,3] [5,8,4,3,1,7,2,6]=>0111010=>[2,1,1,2,2] [3,6,8,5,2,4,7,1]=>0011001=>[3,1,3,1] [5,7,8,4,3,2,6,1]=>0011101=>[3,1,1,2,1] [1,3,8,4,7,2,6,5]=>0010101=>[3,2,2,1] [3,2,1,4,5,8,6,7]=>1100010=>[1,1,4,2] [6,7,1,3,2,8,5,4]=>0101011=>[2,2,2,1,1] [1,5,3,2,6,8,4,7]=>0110010=>[2,1,3,2] [3,7,6,5,8,2,4,1]=>0110101=>[2,1,2,2,1] [5,7,4,2,8,6,1,3]=>0110110=>[2,1,2,1,2] [5,4,3,7,8,2,6,1]=>1100101=>[1,1,3,2,1] [3,8,5,7,6,2,4,1]=>0101101=>[2,2,1,2,1] [1,3,6,8,7,2,5,4]=>0001101=>[4,1,2,1] [5,8,7,1,4,2,3,6]=>0110100=>[2,1,2,3] [2,6,3,7,1,4,5,8]=>0101000=>[2,2,4] [6,5,1,2,4,7,8,3]=>1100001=>[1,1,5,1] [7,6,8,4,3,1,5,2]=>1011101=>[1,2,1,1,2,1] [1,7,6,5,3,2,4,8]=>0111100=>[2,1,1,1,3] [2,7,6,5,4,1,3,8]=>0111100=>[2,1,1,1,3] [6,2,3,5,8,4,1,7]=>1000110=>[1,4,1,2] [4,7,6,1,5,8,3,2]=>0110011=>[2,1,3,1,1] [9,8,7,6,5,4,2,3,1]=>11111101=>[1,1,1,1,1,1,2,1] [2,3,9,8,7,6,5,4,1]=>00111111=>[3,1,1,1,1,1,1] [9,1,3,2,4,5,6,7,8]=>10100000=>[1,2,6] [6,8,7,1,5,4,3,2]=>0110111=>[2,1,2,1,1,1] [8,7,4,6,5,1,3,2]=>1101101=>[1,1,2,1,2,1] [9,8,7,1,6,5,4,3,2]=>11101111=>[1,1,1,2,1,1,1,1] [9,8,7,6,1,5,4,3,2]=>11110111=>[1,1,1,1,2,1,1,1] [9,8,7,6,5,1,4,3,2]=>11111011=>[1,1,1,1,1,2,1,1] [9,10,1,8,7,6,5,4,3,2]=>010111111=>[2,2,1,1,1,1,1,1] [10,9,1,8,7,6,5,4,3,2]=>110111111=>[1,1,2,1,1,1,1,1,1] [10,9,8,1,7,6,5,4,3,2]=>111011111=>[1,1,1,2,1,1,1,1,1] [10,9,8,7,1,6,5,4,3,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [10,9,8,7,6,1,5,4,3,2]=>111110111=>[1,1,1,1,1,2,1,1,1] [10,9,8,7,6,5,1,4,3,2]=>111111011=>[1,1,1,1,1,1,2,1,1] [10,9,8,7,6,5,4,1,3,2]=>111111101=>[1,1,1,1,1,1,1,2,1] [3,5,2,4,7,6,9,8,1]=>01001011=>[2,3,2,1,1] [2,4,3,6,5,8,7,1,9]=>01010110=>[2,2,2,1,2] [3,2,5,4,7,6,9,8,1,10]=>101010110=>[1,2,2,2,1,2] [2,4,3,6,5,8,7,10,9,1]=>010101011=>[2,2,2,2,1,1] [7,2,6,1,5,8,3,4]=>1010010=>[1,2,3,2] [4,7,3,8,6,2,5,1]=>0101101=>[2,2,1,2,1] [4,7,3,6,8,2,1,5]=>0100110=>[2,3,1,2] [5,4,7,3,8,2,1,6]=>1010110=>[1,2,2,1,2] [8,7,2,4,6,3,5,1]=>1100101=>[1,1,3,2,1] [4,3,5,7,2,6,1,8]=>1001010=>[1,3,2,2] [1,7,2,8,5,4,3,6]=>0101110=>[2,2,1,1,2] [5,4,8,3,6,2,1,7]=>1010110=>[1,2,2,1,2] [6,8,2,5,7,1,4,3]=>0100101=>[2,3,2,1] [3,8,6,2,7,5,1,4]=>0110110=>[2,1,2,1,2] [5,8,4,2,7,3,6,1]=>0110101=>[2,1,2,2,1] [8,2,7,3,4,5,1,6]=>1010010=>[1,2,3,2] [8,1,5,2,4,6,3,7]=>1010010=>[1,2,3,2] [8,6,1,3,4,5,7,2]=>1100001=>[1,1,5,1] [8,5,1,2,4,6,7,3]=>1100001=>[1,1,5,1] [2,6,8,7,3,4,5,1]=>0011001=>[3,1,3,1] [1,7,8,5,6,4,2,3]=>0010110=>[3,2,1,2] [8,3,1,2,4,6,7,5]=>1100001=>[1,1,5,1] [3,1,7,5,8,2,4,6]=>1010100=>[1,2,2,3] [8,1,3,2,4,6,5,7]=>1010010=>[1,2,3,2] [8,1,5,6,4,2,3,7]=>1001100=>[1,3,1,3] [8,1,6,5,4,3,2,7]=>1011110=>[1,2,1,1,1,2] [2,6,8,1,5,4,3,7]=>0010110=>[3,2,1,2] [5,2,1,7,6,3,8,4]=>1101101=>[1,1,2,1,2,1] [3,5,8,2,1,4,7,6]=>0011001=>[3,1,3,1] [4,2,8,5,3,7,6,1]=>1011011=>[1,2,1,2,1,1] [4,2,7,5,3,8,6,1]=>1011011=>[1,2,1,2,1,1] [6,4,5,1,8,3,2,7]=>1010110=>[1,2,2,1,2] [5,4,7,8,3,1,2,6]=>1001100=>[1,3,1,3] [4,5,8,1,3,7,2,6]=>0010010=>[3,3,2] [1,5,3,6,8,7,2,4]=>0100110=>[2,3,1,2] [7,6,2,8,1,4,3,5]=>1101010=>[1,1,2,2,2] [4,7,2,6,8,3,5,1]=>0100101=>[2,3,2,1] [6,3,2,8,7,4,5,1]=>1101101=>[1,1,2,1,2,1] [7,4,3,8,5,6,2,1]=>1101011=>[1,1,2,2,1,1] [3,1,5,8,7,6,2,4]=>1001110=>[1,3,1,1,2] [8,2,1,6,5,7,3,4]=>1101010=>[1,1,2,2,2] [3,1,8,6,5,7,2,4]=>1011010=>[1,2,1,2,2] [1,2,7,6,4,5,8,3]=>0011001=>[3,1,3,1] [7,2,6,5,1,8,3,4]=>1011010=>[1,2,1,2,2] [4,2,8,5,6,3,1,7]=>1010110=>[1,2,2,1,2] [4,7,3,2,5,1,6,8]=>0110100=>[2,1,2,3] [4,2,5,3,8,7,1,6]=>1010110=>[1,2,2,1,2] [7,2,5,3,8,4,6,1]=>1010101=>[1,2,2,2,1] [3,6,8,1,7,4,5,2]=>0010101=>[3,2,2,1] [8,7,3,2,5,4,6,1]=>1110101=>[1,1,1,2,2,1] [7,5,6,1,8,3,2,4]=>1010110=>[1,2,2,1,2] [4,5,6,2,7,3,1,8]=>0010110=>[3,2,1,2] [5,3,4,7,1,6,2,8]=>1001010=>[1,3,2,2] [3,5,1,4,6,8,2,7]=>0100010=>[2,4,2] [8,5,7,4,2,1,3,6]=>1011100=>[1,2,1,1,3] [2,3,7,4,1,8,6,5]=>0011011=>[3,1,2,1,1] [2,4,5,1,8,6,3,7]=>0010110=>[3,2,1,2] [2,4,1,6,7,5,3,8]=>0100110=>[2,3,1,2] [6,3,7,1,5,2,4,8]=>1010100=>[1,2,2,3] [4,1,3,7,8,2,6,5]=>1000101=>[1,4,2,1] [7,1,4,8,6,5,2,3]=>1001110=>[1,3,1,1,2] [8,3,4,2,1,7,5,6]=>1011010=>[1,2,1,2,2] [1,4,5,3,8,6,7,2]=>0010101=>[3,2,2,1] [4,6,2,7,5,8,1,3]=>0101010=>[2,2,2,2] [7,3,2,5,1,8,4,6]=>1101010=>[1,1,2,2,2] [7,8,1,4,2,3,5,6]=>0101000=>[2,2,4] [6,5,2,4,8,7,1,3]=>1100110=>[1,1,3,1,2] [8,5,2,4,1,3,7,6]=>1101001=>[1,1,2,3,1] [5,1,2,4,3,6,8,7]=>1001001=>[1,3,3,1] [5,2,1,4,3,7,6,8]=>1101010=>[1,1,2,2,2] [8,6,2,7,5,3,1,4]=>1101110=>[1,1,2,1,1,2] [6,2,1,5,8,3,4,7]=>1100100=>[1,1,3,3] [2,3,8,7,1,5,4,6]=>0011010=>[3,1,2,2] [4,3,8,1,5,2,6,7]=>1010100=>[1,2,2,3] [4,1,3,6,7,2,8,5]=>1000101=>[1,4,2,1] [7,1,4,5,8,2,6,3]=>1000101=>[1,4,2,1] [6,1,3,2,4,5,8,7]=>1010001=>[1,2,4,1] [3,5,1,2,4,7,6,9,8]=>01000101=>[2,4,2,1] [3,7,8,6,5,1,2,4]=>0011100=>[3,1,1,3] [8,4,5,7,2,6,3,1]=>1001011=>[1,3,2,1,1] [4,5,8,2,7,3,1,6]=>0010110=>[3,2,1,2] [6,5,8,2,7,3,1,4]=>1010110=>[1,2,2,1,2] [6,4,8,2,7,3,1,5]=>1010110=>[1,2,2,1,2] [7,8,1,3,6,4,2,5]=>0100110=>[2,3,1,2] [4,3,8,2,7,5,1,6]=>1010110=>[1,2,2,1,2] [4,5,7,8,3,2,1,6]=>0001110=>[4,1,1,2] [5,7,3,4,2,6,8,1]=>0101001=>[2,2,3,1] [5,7,4,2,3,6,8,1]=>0110001=>[2,1,4,1] [5,4,7,3,2,8,1,6]=>1011010=>[1,2,1,2,2] [6,8,3,2,4,5,1,7]=>0110010=>[2,1,3,2] [5,8,3,4,6,1,2,7]=>0100100=>[2,3,3] [6,4,3,8,5,1,2,7]=>1101100=>[1,1,2,1,3] [6,4,8,2,3,5,1,7]=>1010010=>[1,2,3,2] [5,4,6,8,2,3,1,7]=>1001010=>[1,3,2,2] [5,6,8,4,1,2,3,7]=>0011000=>[3,1,4] [6,4,8,5,1,2,3,7]=>1011000=>[1,2,1,4] [7,4,8,3,1,2,5,6]=>1011000=>[1,2,1,4] [5,7,8,2,3,1,4,6]=>0010100=>[3,2,3] [5,4,7,8,2,1,3,6]=>1001100=>[1,3,1,3] [5,8,6,3,1,2,4,7]=>0111000=>[2,1,1,4] [6,8,5,2,1,3,4,7]=>0111000=>[2,1,1,4] [5,6,1,3,2,4,8,7]=>0101001=>[2,2,3,1] [8,1,5,4,6,2,7,3]=>1010101=>[1,2,2,2,1] [4,3,8,1,2,5,7,6]=>1010001=>[1,2,4,1] [4,6,3,2,8,5,7,1]=>0110101=>[2,1,2,2,1] [5,3,7,2,1,8,6,4]=>1011011=>[1,2,1,2,1,1] [7,4,3,2,5,1,8,6]=>1110101=>[1,1,1,2,2,1] [5,4,8,3,7,2,1,6]=>1010110=>[1,2,2,1,2] [3,6,8,5,2,1,7,4]=>0011101=>[3,1,1,2,1] [6,1,5,4,7,2,8,3]=>1010101=>[1,2,2,2,1] [1,3,6,5,8,2,7,4]=>0010101=>[3,2,2,1] [5,4,8,3,2,7,1,6]=>1011010=>[1,2,1,2,2] [5,4,3,7,8,2,1,6]=>1100110=>[1,1,3,1,2] [3,4,5,6,7,8,2,9,1]=>00000101=>[6,2,1] [3,4,5,6,7,8,9,2,10,1]=>000000101=>[7,2,1] [1,4,5,6,7,8,3,9,2]=>00000101=>[6,2,1] [3,4,5,6,7,2,1,9,8]=>00001101=>[5,1,2,1] [2,1,5,6,7,8,9,4,3]=>10000011=>[1,6,1,1] [2,4,5,6,7,8,3,1,9]=>00000110=>[6,1,2] [2,4,5,6,7,8,9,10,3,1]=>000000011=>[8,1,1] [1,4,8,6,3,2,7,5]=>0011101=>[3,1,1,2,1] [4,1,8,6,2,5,7,3]=>1011001=>[1,2,1,3,1] [6,7,2,5,3,8,4,1]=>0101011=>[2,2,2,1,1] [6,3,4,8,1,2,7,5]=>1001001=>[1,3,3,1] [6,2,8,1,7,4,5,3]=>1010101=>[1,2,2,2,1] [2,6,3,1,5,8,7,4]=>0110011=>[2,1,3,1,1] [7,1,3,2,6,5,8,4]=>1010101=>[1,2,2,2,1] [8,7,6,4,5,3,2,9,1]=>11101101=>[1,1,1,2,1,2,1] [2,9,8,7,5,6,4,3,1]=>01110111=>[2,1,1,2,1,1,1] [1,3,5,8,4,7,2,6]=>0001010=>[4,2,2] [2,3,8,7,5,1,6,4]=>0011101=>[3,1,1,2,1] [4,1,3,5,6,2,8,7]=>1000101=>[1,4,2,1] [6,4,8,7,3,5,2,1]=>1011011=>[1,2,1,2,1,1] [8,2,3,5,6,1,4,7]=>1000100=>[1,4,3] [3,8,2,7,6,4,1,5]=>0101110=>[2,2,1,1,2] [4,3,8,6,2,7,1,5]=>1011010=>[1,2,1,2,2] [8,3,4,5,1,6,7,2]=>1001001=>[1,3,3,1] [7,8,1,5,6,3,2,4]=>0100110=>[2,3,1,2] [1,7,8,3,2,5,4,6]=>0011010=>[3,1,2,2] [7,8,1,3,2,5,6,4]=>0101001=>[2,2,3,1] [7,8,1,3,5,4,6,2]=>0100101=>[2,3,2,1] [7,8,1,3,5,2,4,6]=>0100100=>[2,3,3] [1,3,7,8,5,2,4,6]=>0001100=>[4,1,3] [1,7,8,3,5,2,6,4]=>0010101=>[3,2,2,1] [1,7,8,3,2,5,6,4]=>0011001=>[3,1,3,1] [3,7,8,5,4,6,1,2]=>0011010=>[3,1,2,2] [3,5,7,6,4,8,1,2]=>0011010=>[3,1,2,2] [1,3,7,8,5,4,6,2]=>0001101=>[4,1,2,1] [1,3,7,8,5,4,2,6]=>0001110=>[4,1,1,2] [1,3,7,8,2,5,4,6]=>0001010=>[4,2,2] [1,3,2,7,8,5,4,6]=>0100110=>[2,3,1,2] [1,5,7,6,8,3,2,4]=>0010110=>[3,2,1,2] [3,5,4,7,8,6,1,2]=>0100110=>[2,3,1,2] [3,5,7,6,8,4,1,2]=>0010110=>[3,2,1,2] [1,5,7,6,8,3,4,2]=>0010101=>[3,2,2,1] [3,5,7,4,6,8,1,2]=>0010010=>[3,3,2] [6,5,8,4,3,7,1,2]=>1011010=>[1,2,1,2,2] [6,7,3,1,5,2,4,8]=>0110100=>[2,1,2,3] [5,2,4,1,8,3,6,7]=>1010100=>[1,2,2,3] [2,1,7,4,3,8,5,6]=>1011010=>[1,2,1,2,2] [7,2,3,8,5,4,1,6]=>1001110=>[1,3,1,1,2] [4,1,5,7,6,3,8,2]=>1001101=>[1,3,1,2,1] [3,2,5,4,7,6,1,10,8,9]=>101011010=>[1,2,2,1,2,2] [3,2,5,4,9,8,6,7,1,10]=>101011010=>[1,2,2,1,2,2] [3,2,5,4,1,8,6,10,7,9]=>101101010=>[1,2,1,2,2,2] [3,2,5,4,1,10,9,6,7,8]=>101101100=>[1,2,1,2,1,3] [3,2,7,6,4,5,9,8,1,10]=>101100110=>[1,2,1,3,1,2] [3,2,7,6,4,5,1,10,8,9]=>101101010=>[1,2,1,2,2,2] [3,2,9,6,4,8,5,7,1,10]=>101101010=>[1,2,1,2,2,2] [3,2,1,6,4,8,5,10,7,9]=>110101010=>[1,1,2,2,2,2] [3,2,1,6,4,10,9,5,7,8]=>110101100=>[1,1,2,2,1,3] [3,2,9,8,7,4,5,6,1,10]=>101110010=>[1,2,1,1,3,2] [3,2,1,8,7,4,5,10,6,9]=>110110010=>[1,1,2,1,3,2] [3,2,1,10,7,4,9,5,6,8]=>110110100=>[1,1,2,1,2,3] [3,2,1,10,9,8,4,5,6,7]=>110111000=>[1,1,2,1,1,4] [5,4,2,3,7,6,9,8,1,10]=>110010110=>[1,1,3,2,1,2] [5,4,2,3,7,6,1,10,8,9]=>110011010=>[1,1,3,1,2,2] [5,4,2,3,9,8,6,7,1,10]=>110011010=>[1,1,3,1,2,2] [5,4,2,3,1,8,6,10,7,9]=>110101010=>[1,1,2,2,2,2] [5,4,2,3,1,10,9,6,7,8]=>110101100=>[1,1,2,2,1,3] [7,4,2,6,3,5,9,8,1,10]=>110100110=>[1,1,2,3,1,2] [7,4,2,6,3,5,1,10,8,9]=>110101010=>[1,1,2,2,2,2] [9,4,2,6,3,8,5,7,1,10]=>110101010=>[1,1,2,2,2,2] [1,4,2,6,3,8,5,10,7,9]=>010101010=>[2,2,2,2,2] [1,4,2,6,3,10,9,5,7,8]=>010101100=>[2,2,2,1,3] [9,4,2,8,7,3,5,6,1,10]=>110110010=>[1,1,2,1,3,2] [1,4,2,8,7,3,5,10,6,9]=>010110010=>[2,2,1,3,2] [1,4,2,10,7,3,9,5,6,8]=>010110100=>[2,2,1,2,3] [1,4,2,10,9,8,3,5,6,7]=>010111000=>[2,2,1,1,4] [7,6,5,2,3,4,9,8,1,10]=>111000110=>[1,1,1,4,1,2] [7,6,5,2,3,4,1,10,8,9]=>111001010=>[1,1,1,3,2,2] [9,6,5,2,3,8,4,7,1,10]=>111001010=>[1,1,1,3,2,2] [1,6,5,2,3,8,4,10,7,9]=>011001010=>[2,1,3,2,2] [1,6,5,2,3,10,9,4,7,8]=>011001100=>[2,1,3,1,3] [9,8,5,2,7,3,4,6,1,10]=>111010010=>[1,1,1,2,3,2] [1,8,5,2,7,3,4,10,6,9]=>011010010=>[2,1,2,3,2] [1,10,5,2,7,3,9,4,6,8]=>011010100=>[2,1,2,2,3] [1,10,5,2,9,8,3,4,6,7]=>011011000=>[2,1,2,1,4] [9,8,7,6,2,3,4,5,1,10]=>111100010=>[1,1,1,1,4,2] [1,8,7,6,2,3,4,10,5,9]=>011100010=>[2,1,1,4,2] [1,10,7,6,2,3,9,4,5,8]=>011100100=>[2,1,1,3,3] [1,10,9,6,2,8,3,4,5,7]=>011101000=>[2,1,1,2,4] [1,10,9,8,7,2,3,4,5,6]=>011110000=>[2,1,1,1,5] [3,2,5,4,7,6,9,8,11,10,1,12]=>10101010110=>[1,2,2,2,2,1,2] [3,2,5,4,7,6,9,8,1,12,10,11]=>10101011010=>[1,2,2,2,1,2,2] [3,2,5,4,7,6,11,10,8,9,1,12]=>10101011010=>[1,2,2,2,1,2,2] [3,2,5,4,7,6,1,10,8,12,9,11]=>10101101010=>[1,2,2,1,2,2,2] [3,2,5,4,9,8,6,7,1,12,10,11]=>10101101010=>[1,2,2,1,2,2,2] [3,2,5,4,11,8,6,10,7,9,1,12]=>10101101010=>[1,2,2,1,2,2,2] [3,2,5,4,1,8,6,10,7,12,9,11]=>10110101010=>[1,2,1,2,2,2,2] [3,2,7,6,4,5,1,10,8,12,9,11]=>10110101010=>[1,2,1,2,2,2,2] [3,2,9,6,4,8,5,7,1,12,10,11]=>10110101010=>[1,2,1,2,2,2,2] [3,2,11,6,4,8,5,10,7,9,1,12]=>10110101010=>[1,2,1,2,2,2,2] [3,2,1,6,4,8,5,10,7,12,9,11]=>11010101010=>[1,1,2,2,2,2,2] [3,2,1,6,4,8,5,12,11,7,9,10]=>11010101100=>[1,1,2,2,2,1,3] [3,2,1,6,4,12,9,5,11,7,8,10]=>11010110100=>[1,1,2,2,1,2,3] [3,2,1,12,7,4,9,5,11,6,8,10]=>11011010100=>[1,1,2,1,2,2,3] [3,2,1,10,9,8,4,5,6,12,7,11]=>11011100010=>[1,1,2,1,1,4,2] [3,2,1,12,11,8,4,10,5,6,7,9]=>11011101000=>[1,1,2,1,1,2,4] [5,4,2,3,1,8,6,10,7,12,9,11]=>11010101010=>[1,1,2,2,2,2,2] [5,4,2,3,1,8,6,12,11,7,9,10]=>11010101100=>[1,1,2,2,2,1,3] [5,4,2,3,1,12,9,6,11,7,8,10]=>11010110100=>[1,1,2,2,1,2,3] [7,4,2,6,3,5,1,10,8,12,9,11]=>11010101010=>[1,1,2,2,2,2,2] [7,4,2,6,3,5,1,12,11,8,9,10]=>11010101100=>[1,1,2,2,2,1,3] [9,4,2,6,3,8,5,7,1,12,10,11]=>11010101010=>[1,1,2,2,2,2,2] [11,4,2,6,3,8,5,10,7,9,1,12]=>11010101010=>[1,1,2,2,2,2,2] [1,4,2,6,3,8,5,10,7,12,9,11]=>01010101010=>[2,2,2,2,2,2] [1,4,2,6,3,8,5,12,11,7,9,10]=>01010101100=>[2,2,2,2,1,3] [1,4,2,6,3,12,9,5,11,7,8,10]=>01010110100=>[2,2,2,1,2,3] [1,4,2,12,7,3,9,5,11,6,8,10]=>01011010100=>[2,2,1,2,2,3] [11,4,2,10,9,8,3,5,6,7,1,12]=>11011100010=>[1,1,2,1,1,4,2] [1,4,2,10,9,8,3,5,6,12,7,11]=>01011100010=>[2,2,1,1,4,2] [1,4,2,12,11,8,3,10,5,6,7,9]=>01011101000=>[2,2,1,1,2,4] [1,4,2,12,11,10,9,3,5,6,7,8]=>01011110000=>[2,2,1,1,1,5] [1,6,5,2,3,8,4,10,7,12,9,11]=>01100101010=>[2,1,3,2,2,2] [1,8,5,2,7,3,4,10,6,12,9,11]=>01101001010=>[2,1,2,3,2,2] [1,10,5,2,7,3,9,4,6,12,8,11]=>01101010010=>[2,1,2,2,3,2] [1,12,5,2,7,3,9,4,11,6,8,10]=>01101010100=>[2,1,2,2,2,3] [1,12,5,2,11,10,9,3,4,6,7,8]=>01101110000=>[2,1,2,1,1,5] [11,10,9,6,2,8,3,4,5,7,1,12]=>11110100010=>[1,1,1,1,2,4,2] [1,10,9,6,2,8,3,4,5,12,7,11]=>01110100010=>[2,1,1,2,4,2] [1,12,11,6,2,10,9,3,4,5,7,8]=>01110110000=>[2,1,1,2,1,5] [11,10,9,8,7,2,3,4,5,6,1,12]=>11111000010=>[1,1,1,1,1,5,2] [1,12,11,10,9,8,2,3,4,5,6,7]=>01111100000=>[2,1,1,1,1,6] [1,4,8,2,3,6,5,7]=>0010010=>[3,3,2] [1,4,6,7,3,5,2,8]=>0001010=>[4,2,2] [1,4,8,2,6,7,5,3]=>0010011=>[3,3,1,1] [1,7,3,2,4,5,6,8]=>0110000=>[2,1,5] [1,7,3,2,4,5,8,6]=>0110001=>[2,1,4,1] [1,6,4,3,2,5,7,8]=>0111000=>[2,1,1,4] [4,2,6,5,3,1,7,8]=>1011100=>[1,2,1,1,3] [5,2,1,6,8,7,4,3]=>1100111=>[1,1,3,1,1,1] [1,3,5,8,6,2,7,4]=>0001101=>[4,1,2,1] [2,3,8,4,1,7,6,5]=>0011011=>[3,1,2,1,1] [3,7,8,5,4,2,6,1]=>0011101=>[3,1,1,2,1] [8,3,2,7,5,6,1,4]=>1101010=>[1,1,2,2,2] [1,3,8,5,7,4,2,6]=>0010110=>[3,2,1,2] [1,2,3,7,5,4,6,8]=>0001100=>[4,1,3] [1,4,2,8,6,3,5,7]=>0101100=>[2,2,1,3] [2,8,6,3,5,7,4,1]=>0110011=>[2,1,3,1,1] [6,1,8,2,5,3,4,7]=>1010100=>[1,2,2,3] [3,8,6,4,2,7,1,5]=>0111010=>[2,1,1,2,2] [1,5,4,2,3,6,8,7]=>0110001=>[2,1,4,1] [6,1,5,2,3,4,8,7]=>1010001=>[1,2,4,1] [6,5,2,1,7,3,4,8]=>1110100=>[1,1,1,2,3] [3,1,2,4,8,6,7,5]=>1000101=>[1,4,2,1] [3,1,2,5,8,7,4,6]=>1000110=>[1,4,1,2] [6,5,2,1,8,4,7,3]=>1110101=>[1,1,1,2,2,1] [3,7,5,2,8,1,4,6]=>0110100=>[2,1,2,3] [5,1,4,7,3,2,8,6]=>1001101=>[1,3,1,2,1] [4,1,5,8,6,2,3,7]=>1001100=>[1,3,1,3] [5,4,8,6,3,7,1,2]=>1011010=>[1,2,1,2,2] [6,5,2,3,1,8,7,4]=>1101011=>[1,1,2,2,1,1] [5,7,4,8,3,1,6,2]=>0101101=>[2,2,1,2,1] [3,1,4,7,5,2,8,6]=>1001101=>[1,3,1,2,1] [4,3,5,1,8,7,2,6]=>1010110=>[1,2,2,1,2] [2,5,3,6,1,8,4,7]=>0101010=>[2,2,2,2] [2,5,6,8,3,1,7,4]=>0001101=>[4,1,2,1] [7,1,4,5,3,6,2,8]=>1001010=>[1,3,2,2] [1,7,2,4,5,3,6,8]=>0100100=>[2,3,3] [1,7,4,5,3,2,6,8]=>0101100=>[2,2,1,3] [1,6,4,7,3,5,2,8]=>0101010=>[2,2,2,2] [3,5,6,4,8,2,1,7]=>0010110=>[3,2,1,2] [1,6,4,7,5,2,3,8]=>0101100=>[2,2,1,3] [1,5,2,6,7,4,3,8]=>0100110=>[2,3,1,2] [8,5,6,1,4,3,7,2]=>1010101=>[1,2,2,2,1] [2,5,4,7,8,3,1,6]=>0100110=>[2,3,1,2] [6,4,5,8,2,3,1,7]=>1001010=>[1,3,2,2] [8,6,1,3,2,5,7,4]=>1101001=>[1,1,2,3,1] [7,5,8,1,4,6,3,2]=>1010011=>[1,2,3,1,1] [4,2,6,7,8,1,5,3]=>1000101=>[1,4,2,1] [3,4,6,7,8,1,5,2]=>0000101=>[5,2,1] [4,7,3,8,5,1,6,2]=>0101101=>[2,2,1,2,1] [4,3,2,7,5,8,1,6]=>1101010=>[1,1,2,2,2] [4,8,5,3,2,6,1,7]=>0111010=>[2,1,1,2,2] [2,8,4,5,3,6,1,7]=>0101010=>[2,2,2,2] [8,1,5,3,2,4,7,6]=>1011001=>[1,2,1,3,1] [7,8,4,1,3,6,5,2]=>0110011=>[2,1,3,1,1] [8,6,1,3,2,7,4,5]=>1101010=>[1,1,2,2,2] [7,3,8,2,4,1,6,5]=>1010101=>[1,2,2,2,1] [6,2,3,7,8,1,5,4]=>1000101=>[1,4,2,1] [6,3,7,8,1,5,4,2]=>1001011=>[1,3,2,1,1] [2,6,3,7,8,1,5,4]=>0100101=>[2,3,2,1] [7,5,8,1,6,4,2,3]=>1010110=>[1,2,2,1,2] [8,1,4,3,7,5,6,2]=>1010101=>[1,2,2,2,1] [1,4,8,5,3,2,6,7]=>0011100=>[3,1,1,3] [8,2,7,6,4,1,5,3]=>1011101=>[1,2,1,1,2,1] [2,7,4,3,8,5,1,6]=>0110110=>[2,1,2,1,2] [6,8,2,7,3,1,5,4]=>0101101=>[2,2,1,2,1] [8,2,6,3,4,1,7,5]=>1010101=>[1,2,2,2,1] [6,1,2,8,5,3,7,4]=>1001101=>[1,3,1,2,1] [4,1,5,8,3,6,7,2]=>1001001=>[1,3,3,1] [7,5,2,8,1,6,3,4]=>1101010=>[1,1,2,2,2] [4,8,5,7,1,3,2,6]=>0101010=>[2,2,2,2] [3,4,7,2,1,5,8,6]=>0011001=>[3,1,3,1] [4,8,2,7,1,3,6,5]=>0101001=>[2,2,3,1] [5,2,1,8,7,4,6,3]=>1101101=>[1,1,2,1,2,1] [8,2,1,7,4,6,3,5]=>1101010=>[1,1,2,2,2] [4,2,5,8,3,6,7,1]=>1001001=>[1,3,3,1] [5,1,6,8,3,2,7,4]=>1001101=>[1,3,1,2,1] [4,1,5,6,8,2,7,3]=>1000101=>[1,4,2,1] [5,7,8,2,4,1,3,6]=>0010100=>[3,2,3] [4,5,2,8,7,3,1,6]=>0101110=>[2,2,1,1,2] [4,8,5,3,1,6,7,2]=>0111001=>[2,1,1,3,1] [6,2,3,1,7,8,5,4]=>1010011=>[1,2,3,1,1] [5,2,3,6,8,4,7,1]=>1000101=>[1,4,2,1] [6,2,1,7,8,4,3,5]=>1100110=>[1,1,3,1,2] [5,2,1,3,8,4,7,6]=>1100101=>[1,1,3,2,1] [5,2,7,8,4,1,6,3]=>1001101=>[1,3,1,2,1] [6,2,7,8,3,5,4,1]=>1001011=>[1,3,2,1,1] [5,2,8,6,4,1,7,3]=>1011101=>[1,2,1,1,2,1] [5,1,2,8,4,3,7,6]=>1001101=>[1,3,1,2,1] [6,7,8,3,2,5,4,1]=>0011011=>[3,1,2,1,1] [5,7,2,6,4,8,1,3]=>0101010=>[2,2,2,2] [6,2,3,4,7,8,5,1]=>1000011=>[1,5,1,1] [7,2,1,8,4,3,5,6]=>1101100=>[1,1,2,1,3] [6,2,1,3,7,5,8,4]=>1100101=>[1,1,3,2,1] [6,8,7,3,4,5,1,2]=>0110010=>[2,1,3,2] [6,2,3,7,8,1,4,5]=>1000100=>[1,4,3] [7,4,3,2,5,8,1,6]=>1110010=>[1,1,1,3,2] [7,2,4,3,5,8,1,6]=>1010010=>[1,2,3,2] [1,7,6,4,2,3,5,8]=>0111000=>[2,1,1,4] [1,3,2,5,8,6,4,7]=>0100110=>[2,3,1,2] [6,1,4,7,2,8,5,3]=>1001011=>[1,3,2,1,1] [1,7,5,8,4,2,3,6]=>0101100=>[2,2,1,3] [1,6,7,2,4,8,5,3]=>0010011=>[3,3,1,1] [5,7,2,4,3,6,8,1]=>0101001=>[2,2,3,1] [5,7,3,4,6,2,8,1]=>0100101=>[2,3,2,1] [2,8,3,6,1,7,4,5]=>0101010=>[2,2,2,2] [4,3,1,8,5,2,6,7]=>1101100=>[1,1,2,1,3] [1,8,4,5,6,2,7,3]=>0100101=>[2,3,2,1] [7,3,8,2,1,4,5,6]=>1011000=>[1,2,1,4] [8,2,5,3,1,7,4,6]=>1011010=>[1,2,1,2,2] [6,3,5,8,1,7,4,2]=>1001011=>[1,3,2,1,1] [3,5,4,8,6,1,7,2]=>0101101=>[2,2,1,2,1] [7,5,2,3,8,4,6,1]=>1100101=>[1,1,3,2,1] [2,7,5,1,4,8,3,6]=>0110010=>[2,1,3,2] [5,7,6,1,2,8,3,4]=>0110010=>[2,1,3,2] [7,4,6,5,1,8,2,3]=>1011010=>[1,2,1,2,2] [7,1,3,2,6,8,4,5]=>1010010=>[1,2,3,2] [4,3,5,2,8,1,6,7]=>1010100=>[1,2,2,3] [1,7,3,8,2,4,6,5]=>0101001=>[2,2,3,1] [2,7,4,8,5,3,1,6]=>0101110=>[2,2,1,1,2] [6,1,3,8,4,2,7,5]=>1001101=>[1,3,1,2,1] [5,4,1,8,6,2,7,3]=>1101101=>[1,1,2,1,2,1] [5,4,6,8,1,3,2,7]=>1001010=>[1,3,2,2] [3,6,1,5,8,4,7,2]=>0100101=>[2,3,2,1] [6,4,8,3,5,7,2,1]=>1010011=>[1,2,3,1,1] [3,5,8,2,4,1,7,6]=>0010101=>[3,2,2,1] [7,2,8,4,1,3,6,5]=>1011001=>[1,2,1,3,1] [5,8,1,2,4,3,6,7]=>0100100=>[2,3,3] [8,4,3,5,7,2,6,1]=>1100101=>[1,1,3,2,1] [4,1,5,2,3,8,7,6]=>1010011=>[1,2,3,1,1] [6,3,5,8,2,4,7,1]=>1001001=>[1,3,3,1] [2,8,7,1,4,6,3,5]=>0110010=>[2,1,3,2] [1,8,5,3,7,4,2,6]=>0110110=>[2,1,2,1,2] [7,5,6,2,8,4,3,1]=>1010111=>[1,2,2,1,1,1] [5,7,6,2,8,1,4,3]=>0110101=>[2,1,2,2,1] [6,3,8,1,2,5,4,7]=>1010010=>[1,2,3,2] [7,6,4,8,5,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [7,6,5,3,8,4,2,1]=>1110111=>[1,1,1,2,1,1,1] [7,6,5,4,2,8,3,1]=>1111011=>[1,1,1,1,2,1,1] [8,6,9,7,5,4,3,2,1]=>10111111=>[1,2,1,1,1,1,1,1] [7,5,4,8,6,3,2,1]=>1101111=>[1,1,2,1,1,1,1] [8,7,5,9,6,4,3,2,1]=>11011111=>[1,1,2,1,1,1,1,1] [8,7,6,4,9,5,3,2,1]=>11101111=>[1,1,1,2,1,1,1,1] [7,6,5,3,2,8,4,1]=>1111011=>[1,1,1,1,2,1,1] [8,7,6,5,3,9,4,2,1]=>11110111=>[1,1,1,1,2,1,1,1] [8,7,6,5,4,2,9,3,1]=>11111011=>[1,1,1,1,1,2,1,1] [3,2,5,4,7,6,1,10,9,8]=>101011011=>[1,2,2,1,2,1,1] [3,2,5,4,9,8,7,6,1,10]=>101011110=>[1,2,2,1,1,1,2] [3,2,5,4,1,8,7,10,9,6]=>101101011=>[1,2,1,2,2,1,1] [3,2,5,4,1,10,9,8,7,6]=>101101111=>[1,2,1,2,1,1,1,1] [3,2,7,6,5,4,9,8,1,10]=>101110110=>[1,2,1,1,2,1,2] [3,2,7,6,5,4,1,10,9,8]=>101111011=>[1,2,1,1,1,2,1,1] [3,2,9,6,5,8,7,4,1,10]=>101101110=>[1,2,1,2,1,1,2] [3,2,1,6,5,8,7,10,9,4]=>110101011=>[1,1,2,2,2,1,1] [3,2,1,6,5,10,9,8,7,4]=>110101111=>[1,1,2,2,1,1,1,1] [3,2,1,8,7,6,5,10,9,4]=>110111011=>[1,1,2,1,1,2,1,1] [3,2,1,10,7,6,9,8,5,4]=>110110111=>[1,1,2,1,2,1,1,1] [5,4,3,2,7,6,9,8,1,10]=>111010110=>[1,1,1,2,2,1,2] [5,4,3,2,7,6,1,10,9,8]=>111011011=>[1,1,1,2,1,2,1,1] [5,4,3,2,9,8,7,6,1,10]=>111011110=>[1,1,1,2,1,1,1,2] [5,4,3,2,1,8,7,10,9,6]=>111101011=>[1,1,1,1,2,2,1,1] [7,4,3,6,5,2,9,8,1,10]=>110110110=>[1,1,2,1,2,1,2] [7,4,3,6,5,2,1,10,9,8]=>110111011=>[1,1,2,1,1,2,1,1] [9,4,3,6,5,8,7,2,1,10]=>110101110=>[1,1,2,2,1,1,2] [1,4,3,6,5,8,7,10,9,2]=>010101011=>[2,2,2,2,1,1] [1,4,3,6,5,10,9,8,7,2]=>010101111=>[2,2,2,1,1,1,1] [9,4,3,8,7,6,5,2,1,10]=>110111110=>[1,1,2,1,1,1,1,2] [1,4,3,8,7,6,5,10,9,2]=>010111011=>[2,2,1,1,2,1,1] [1,4,3,10,7,6,9,8,5,2]=>010110111=>[2,2,1,2,1,1,1] [1,4,3,10,9,8,7,6,5,2]=>010111111=>[2,2,1,1,1,1,1,1] [7,6,5,4,3,2,9,8,1,10]=>111110110=>[1,1,1,1,1,2,1,2] [9,6,5,4,3,8,7,2,1,10]=>111101110=>[1,1,1,1,2,1,1,2] [1,6,5,4,3,8,7,10,9,2]=>011101011=>[2,1,1,2,2,1,1] [1,6,5,4,3,10,9,8,7,2]=>011101111=>[2,1,1,2,1,1,1,1] [9,8,5,4,7,6,3,2,1,10]=>111011110=>[1,1,1,2,1,1,1,2] [1,8,5,4,7,6,3,10,9,2]=>011011011=>[2,1,2,1,2,1,1] [1,10,5,4,7,6,9,8,3,2]=>011010111=>[2,1,2,2,1,1,1] [1,10,5,4,9,8,7,6,3,2]=>011011111=>[2,1,2,1,1,1,1,1] [1,10,7,6,5,4,9,8,3,2]=>011110111=>[2,1,1,1,2,1,1,1] [1,10,9,6,5,8,7,4,3,2]=>011101111=>[2,1,1,2,1,1,1,1] [3,2,5,4,7,6,9,8,1,12,11,10]=>10101011011=>[1,2,2,2,1,2,1,1] [3,2,5,4,7,6,1,10,9,12,11,8]=>10101101011=>[1,2,2,1,2,2,1,1] [3,2,5,4,9,8,7,6,11,10,1,12]=>10101110110=>[1,2,2,1,1,2,1,2] [3,2,5,4,9,8,7,6,1,12,11,10]=>10101111011=>[1,2,2,1,1,1,2,1,1] [3,2,5,4,11,8,7,10,9,6,1,12]=>10101101110=>[1,2,2,1,2,1,1,2] [3,2,5,4,1,8,7,10,9,12,11,6]=>10110101011=>[1,2,1,2,2,2,1,1] [3,2,5,4,11,10,9,8,7,6,1,12]=>10101111110=>[1,2,2,1,1,1,1,1,2] [3,2,5,4,1,10,9,8,7,12,11,6]=>10110111011=>[1,2,1,2,1,1,2,1,1] [3,2,5,4,1,12,9,8,11,10,7,6]=>10110110111=>[1,2,1,2,1,2,1,1,1] [3,2,7,6,5,4,9,8,11,10,1,12]=>10111010110=>[1,2,1,1,2,2,1,2] [3,2,7,6,5,4,9,8,1,12,11,10]=>10111011011=>[1,2,1,1,2,1,2,1,1] [3,2,7,6,5,4,11,10,9,8,1,12]=>10111011110=>[1,2,1,1,2,1,1,1,2] [3,2,7,6,5,4,1,10,9,12,11,8]=>10111101011=>[1,2,1,1,1,2,2,1,1] [3,2,7,6,5,4,1,12,11,10,9,8]=>10111101111=>[1,2,1,1,1,2,1,1,1,1] [3,2,9,6,5,8,7,4,11,10,1,12]=>10110110110=>[1,2,1,2,1,2,1,2] [3,2,9,6,5,8,7,4,1,12,11,10]=>10110111011=>[1,2,1,2,1,1,2,1,1] [3,2,11,6,5,8,7,10,9,4,1,12]=>10110101110=>[1,2,1,2,2,1,1,2] [3,2,1,6,5,8,7,10,9,12,11,4]=>11010101011=>[1,1,2,2,2,2,1,1] [3,2,1,6,5,10,9,8,7,12,11,4]=>11010111011=>[1,1,2,2,1,1,2,1,1] [3,2,1,6,5,12,9,8,11,10,7,4]=>11010110111=>[1,1,2,2,1,2,1,1,1] [3,2,11,8,7,6,5,10,9,4,1,12]=>10111101110=>[1,2,1,1,1,2,1,1,2] [3,2,1,8,7,6,5,10,9,12,11,4]=>11011101011=>[1,1,2,1,1,2,2,1,1] [3,2,1,8,7,6,5,12,11,10,9,4]=>11011101111=>[1,1,2,1,1,2,1,1,1,1] [3,2,11,10,7,6,9,8,5,4,1,12]=>10111011110=>[1,2,1,1,2,1,1,1,2] [3,2,1,10,7,6,9,8,5,12,11,4]=>11011011011=>[1,1,2,1,2,1,2,1,1] [3,2,1,12,7,6,9,8,11,10,5,4]=>11011010111=>[1,1,2,1,2,2,1,1,1] [3,2,11,10,9,8,7,6,5,4,1,12]=>10111111110=>[1,2,1,1,1,1,1,1,1,2] [3,2,1,10,9,8,7,6,5,12,11,4]=>11011111011=>[1,1,2,1,1,1,1,2,1,1] [3,2,1,12,9,8,7,6,11,10,5,4]=>11011110111=>[1,1,2,1,1,1,2,1,1,1] [3,2,1,12,11,8,7,10,9,6,5,4]=>11011101111=>[1,1,2,1,1,2,1,1,1,1] [3,2,1,12,11,10,9,8,7,6,5,4]=>11011111111=>[1,1,2,1,1,1,1,1,1,1,1] [5,4,3,2,7,6,9,8,1,12,11,10]=>11101011011=>[1,1,1,2,2,1,2,1,1] [5,4,3,2,7,6,11,10,9,8,1,12]=>11101011110=>[1,1,1,2,2,1,1,1,2] [5,4,3,2,7,6,1,10,9,12,11,8]=>11101101011=>[1,1,1,2,1,2,2,1,1] [5,4,3,2,7,6,1,12,11,10,9,8]=>11101101111=>[1,1,1,2,1,2,1,1,1,1] [5,4,3,2,9,8,7,6,11,10,1,12]=>11101110110=>[1,1,1,2,1,1,2,1,2] [5,4,3,2,9,8,7,6,1,12,11,10]=>11101111011=>[1,1,1,2,1,1,1,2,1,1] [5,4,3,2,11,8,7,10,9,6,1,12]=>11101101110=>[1,1,1,2,1,2,1,1,2] [5,4,3,2,1,8,7,12,11,10,9,6]=>11110101111=>[1,1,1,1,2,2,1,1,1,1] [5,4,3,2,1,10,9,8,7,12,11,6]=>11110111011=>[1,1,1,1,2,1,1,2,1,1] [5,4,3,2,1,12,9,8,11,10,7,6]=>11110110111=>[1,1,1,1,2,1,2,1,1,1] [7,4,3,6,5,2,9,8,11,10,1,12]=>11011010110=>[1,1,2,1,2,2,1,2] [7,4,3,6,5,2,9,8,1,12,11,10]=>11011011011=>[1,1,2,1,2,1,2,1,1] [7,4,3,6,5,2,11,10,9,8,1,12]=>11011011110=>[1,1,2,1,2,1,1,1,2] [7,4,3,6,5,2,1,10,9,12,11,8]=>11011101011=>[1,1,2,1,1,2,2,1,1] [7,4,3,6,5,2,1,12,11,10,9,8]=>11011101111=>[1,1,2,1,1,2,1,1,1,1] [9,4,3,6,5,8,7,2,11,10,1,12]=>11010110110=>[1,1,2,2,1,2,1,2] [9,4,3,6,5,8,7,2,1,12,11,10]=>11010111011=>[1,1,2,2,1,1,2,1,1] [11,4,3,6,5,8,7,10,9,2,1,12]=>11010101110=>[1,1,2,2,2,1,1,2] [1,4,3,6,5,8,7,10,9,12,11,2]=>01010101011=>[2,2,2,2,2,1,1] [1,4,3,6,5,8,7,12,11,10,9,2]=>01010101111=>[2,2,2,2,1,1,1,1] [1,4,3,6,5,10,9,8,7,12,11,2]=>01010111011=>[2,2,2,1,1,2,1,1] [1,4,3,6,5,12,9,8,11,10,7,2]=>01010110111=>[2,2,2,1,2,1,1,1] [9,4,3,8,7,6,5,2,11,10,1,12]=>11011110110=>[1,1,2,1,1,1,2,1,2] [9,4,3,8,7,6,5,2,1,12,11,10]=>11011111011=>[1,1,2,1,1,1,1,2,1,1] [11,4,3,8,7,6,5,10,9,2,1,12]=>11011101110=>[1,1,2,1,1,2,1,1,2] [1,4,3,8,7,6,5,10,9,12,11,2]=>01011101011=>[2,2,1,1,2,2,1,1] [11,4,3,10,7,6,9,8,5,2,1,12]=>11011011110=>[1,1,2,1,2,1,1,1,2] [1,4,3,10,7,6,9,8,5,12,11,2]=>01011011011=>[2,2,1,2,1,2,1,1] [1,4,3,12,7,6,9,8,11,10,5,2]=>01011010111=>[2,2,1,2,2,1,1,1] [11,4,3,10,9,8,7,6,5,2,1,12]=>11011111110=>[1,1,2,1,1,1,1,1,1,2] [1,4,3,12,9,8,7,6,11,10,5,2]=>01011110111=>[2,2,1,1,1,2,1,1,1] [1,4,3,12,11,10,9,8,7,6,5,2]=>01011111111=>[2,2,1,1,1,1,1,1,1,1] [9,6,5,4,3,8,7,2,1,12,11,10]=>11110111011=>[1,1,1,1,2,1,1,2,1,1] [1,6,5,4,3,8,7,10,9,12,11,2]=>01110101011=>[2,1,1,2,2,2,1,1] [11,6,5,4,3,10,9,8,7,2,1,12]=>11110111110=>[1,1,1,1,2,1,1,1,1,2] [1,6,5,4,3,10,9,8,7,12,11,2]=>01110111011=>[2,1,1,2,1,1,2,1,1] [1,6,5,4,3,12,9,8,11,10,7,2]=>01110110111=>[2,1,1,2,1,2,1,1,1] [1,6,5,4,3,12,11,10,9,8,7,2]=>01110111111=>[2,1,1,2,1,1,1,1,1,1] [9,8,5,4,7,6,3,2,11,10,1,12]=>11101110110=>[1,1,1,2,1,1,2,1,2] [9,8,5,4,7,6,3,2,1,12,11,10]=>11101111011=>[1,1,1,2,1,1,1,2,1,1] [11,8,5,4,7,6,3,10,9,2,1,12]=>11101101110=>[1,1,1,2,1,2,1,1,2] [1,8,5,4,7,6,3,10,9,12,11,2]=>01101101011=>[2,1,2,1,2,2,1,1] [11,10,5,4,7,6,9,8,3,2,1,12]=>11101011110=>[1,1,1,2,2,1,1,1,2] [1,10,5,4,7,6,9,8,3,12,11,2]=>01101011011=>[2,1,2,2,1,2,1,1] [1,12,5,4,7,6,9,8,11,10,3,2]=>01101010111=>[2,1,2,2,2,1,1,1] [1,10,5,4,9,8,7,6,3,12,11,2]=>01101111011=>[2,1,2,1,1,1,2,1,1] [1,12,5,4,9,8,7,6,11,10,3,2]=>01101110111=>[2,1,2,1,1,2,1,1,1] [1,12,5,4,11,10,9,8,7,6,3,2]=>01101111111=>[2,1,2,1,1,1,1,1,1,1] [9,8,7,6,5,4,3,2,11,10,1,12]=>11111110110=>[1,1,1,1,1,1,1,2,1,2] [11,8,7,6,5,4,3,10,9,2,1,12]=>11111101110=>[1,1,1,1,1,1,2,1,1,2] [1,8,7,6,5,4,3,12,11,10,9,2]=>01111101111=>[2,1,1,1,1,2,1,1,1,1] [1,10,7,6,5,4,9,8,3,12,11,2]=>01111011011=>[2,1,1,1,2,1,2,1,1] [1,12,7,6,5,4,9,8,11,10,3,2]=>01111010111=>[2,1,1,1,2,2,1,1,1] [11,10,9,6,5,8,7,4,3,2,1,12]=>11110111110=>[1,1,1,1,2,1,1,1,1,2] [1,10,9,6,5,8,7,4,3,12,11,2]=>01110111011=>[2,1,1,2,1,1,2,1,1] [1,12,9,6,5,8,7,4,11,10,3,2]=>01110110111=>[2,1,1,2,1,2,1,1,1] [1,12,11,6,5,10,9,8,7,4,3,2]=>01110111111=>[2,1,1,2,1,1,1,1,1,1] [11,10,9,8,7,6,5,4,3,2,1,12]=>11111111110=>[1,1,1,1,1,1,1,1,1,1,2] [1,10,9,8,7,6,5,4,3,12,11,2]=>01111111011=>[2,1,1,1,1,1,1,2,1,1] [1,12,11,8,7,6,5,10,9,4,3,2]=>01111101111=>[2,1,1,1,1,2,1,1,1,1] [1,12,11,10,9,8,7,6,5,4,3,2]=>01111111111=>[2,1,1,1,1,1,1,1,1,1,1] [1,5,7,2,4,3,6,8]=>0010100=>[3,2,3] [1,6,5,3,2,4,7,8]=>0111000=>[2,1,1,4] [1,7,2,4,6,5,3,8]=>0100110=>[2,3,1,2] [1,4,7,2,6,5,3,8]=>0010110=>[3,2,1,2] [1,2,6,8,7,4,3,5]=>0001110=>[4,1,1,2] [1,2,7,4,3,5,8,6]=>0011001=>[3,1,3,1] [1,6,2,8,7,4,3,5]=>0101110=>[2,2,1,1,2] [1,7,4,2,3,5,8,6]=>0110001=>[2,1,4,1] [1,8,5,2,3,6,4,7]=>0110010=>[2,1,3,2] [1,7,4,8,5,2,3,6]=>0101100=>[2,2,1,3] [1,4,7,5,2,8,6,3]=>0011011=>[3,1,2,1,1] [1,6,3,7,4,2,8,5]=>0101101=>[2,2,1,2,1] [1,8,5,2,7,4,3,6]=>0110110=>[2,1,2,1,2] [1,4,8,7,5,3,2,6]=>0011110=>[3,1,1,1,2] [1,2,5,8,6,3,7,4]=>0001101=>[4,1,2,1] [1,2,4,7,5,8,6,3]=>0001011=>[4,2,1,1] [1,5,8,7,6,2,4,3]=>0011101=>[3,1,1,2,1] [1,3,5,8,7,6,2,4]=>0001110=>[4,1,1,2] [1,5,2,4,3,6,8,7]=>0101001=>[2,2,3,1] [1,6,8,7,5,3,2,4]=>0011110=>[3,1,1,1,2] [1,2,5,7,4,3,8,6]=>0001101=>[4,1,2,1] [1,5,3,2,6,8,7,4]=>0110011=>[2,1,3,1,1] [1,4,2,6,8,7,5,3]=>0100111=>[2,3,1,1,1] [1,5,8,6,3,2,7,4]=>0011101=>[3,1,1,2,1] [1,8,5,2,6,3,4,7]=>0110100=>[2,1,2,3] [1,7,4,6,3,2,8,5]=>0101101=>[2,2,1,2,1] [1,6,3,2,8,5,4,7]=>0110110=>[2,1,2,1,2] [1,3,8,6,4,2,5,7]=>0011100=>[3,1,1,3] [1,5,7,4,2,3,8,6]=>0011001=>[3,1,3,1] [6,3,7,5,4,2,8,1]=>1011101=>[1,2,1,1,2,1] [7,5,2,6,3,4,8,1]=>1101001=>[1,1,2,3,1] [3,8,2,7,5,4,1,6]=>0101110=>[2,2,1,1,2] [5,4,8,6,7,1,2,3]=>1010100=>[1,2,2,3] [2,7,3,6,8,5,4,1]=>0100111=>[2,3,1,1,1] [3,7,2,8,1,6,4,5]=>0101010=>[2,2,2,2] [8,5,2,4,6,7,3,1]=>1100011=>[1,1,4,1,1] [2,5,8,7,1,4,3,6]=>0011010=>[3,1,2,2] [3,4,6,5,8,2,7,1]=>0010101=>[3,2,2,1] [5,2,4,1,6,7,8,3]=>1010001=>[1,2,4,1] [4,2,7,1,6,8,3,5]=>1010010=>[1,2,3,2] [5,2,8,6,4,7,1,3]=>1011010=>[1,2,1,2,2] [6,1,3,4,7,2,8,5]=>1000101=>[1,4,2,1] [8,4,7,2,5,3,1,6]=>1010110=>[1,2,2,1,2] [8,3,4,5,2,1,7,6]=>1001101=>[1,3,1,2,1] [8,6,1,4,7,3,5,2]=>1100101=>[1,1,3,2,1] [5,3,6,7,2,8,4,1]=>1001011=>[1,3,2,1,1] [5,3,6,7,2,4,8,1]=>1001001=>[1,3,3,1] [8,6,4,2,7,1,5,3]=>1110101=>[1,1,1,2,2,1] [8,6,1,4,7,5,2,3]=>1100110=>[1,1,3,1,2] [1,5,8,2,6,7,4,3]=>0010011=>[3,3,1,1] [7,1,3,6,5,2,8,4]=>1001101=>[1,3,1,2,1] [8,2,1,4,5,7,6,3]=>1100011=>[1,1,4,1,1] [1,4,7,5,2,3,8,6]=>0011001=>[3,1,3,1] [6,1,7,5,4,2,8,3]=>1011101=>[1,2,1,1,2,1] [2,7,3,6,5,1,8,4]=>0101101=>[2,2,1,2,1] [8,6,5,1,3,7,4,2]=>1110011=>[1,1,1,3,1,1] [5,7,6,2,4,8,1,3]=>0110010=>[2,1,3,2] [3,7,5,6,4,8,1,2]=>0101010=>[2,2,2,2] [7,6,8,1,3,5,4,2]=>1010011=>[1,2,3,1,1] [2,8,4,6,1,7,5,3]=>0101011=>[2,2,2,1,1] [2,8,6,4,7,3,5,1]=>0110101=>[2,1,2,2,1] [8,7,1,4,6,5,3,2]=>1100111=>[1,1,3,1,1,1] [3,5,8,6,7,1,4,2]=>0010101=>[3,2,2,1] [1,2,4,6,8,5,3,7]=>0000110=>[5,1,2] [3,1,5,8,6,2,4,7]=>1001100=>[1,3,1,3] [2,5,4,6,8,1,3,7]=>0100100=>[2,3,3] [6,5,2,4,7,8,1,3]=>1100010=>[1,1,4,2] [7,2,5,8,6,4,1,3]=>1001110=>[1,3,1,1,2] [5,2,8,3,4,7,6,1]=>1010011=>[1,2,3,1,1] [2,4,3,8,7,1,6,5]=>0101101=>[2,2,1,2,1] [1,5,8,7,4,2,6,3]=>0011101=>[3,1,1,2,1] [6,8,7,5,4,3,1,2]=>0111110=>[2,1,1,1,1,2] [5,6,4,7,3,8,2,9,1]=>01010101=>[2,2,2,2,1] [5,6,4,7,3,9,2,8,1]=>01010101=>[2,2,2,2,1] [5,3,4,8,6,2,7,1]=>1001101=>[1,3,1,2,1] [5,4,6,3,7,2,8,1,9]=>10101010=>[1,2,2,2,2] [6,5,7,4,8,3,9,2,10,1]=>101010101=>[1,2,2,2,2,1] [6,5,7,4,8,3,10,2,9,1]=>101010101=>[1,2,2,2,2,1] [3,4,5,8,6,2,7,1]=>0001101=>[4,1,2,1] [5,6,4,7,3,8,2,9,1,10]=>010101010=>[2,2,2,2,2] [5,4,2,3,6,1,8,7]=>1100101=>[1,1,3,2,1] [5,1,7,4,3,6,8,2]=>1011001=>[1,2,1,3,1] [4,3,7,6,8,2,1,5]=>1010110=>[1,2,2,1,2] [8,1,4,7,2,3,5,6]=>1001000=>[1,3,4] [6,1,8,5,2,7,3,4]=>1011010=>[1,2,1,2,2] [8,7,2,6,3,1,4,5]=>1101100=>[1,1,2,1,3] [8,7,1,6,4,5,2,3]=>1101010=>[1,1,2,2,2] [5,4,1,3,7,2,8,6]=>1100101=>[1,1,3,2,1] [8,3,4,7,6,2,1,5]=>1001110=>[1,3,1,1,2] [3,1,8,7,5,2,4,6]=>1011100=>[1,2,1,1,3] [6,5,8,7,2,4,3,1]=>1011011=>[1,2,1,2,1,1] [4,3,6,5,8,2,1,7]=>1010110=>[1,2,2,1,2] [7,6,3,2,8,5,4,1]=>1110111=>[1,1,1,2,1,1,1] [3,2,6,8,7,1,4,5]=>1001100=>[1,3,1,3] [4,3,7,1,8,5,2,6]=>1010110=>[1,2,2,1,2] [3,2,8,5,6,7,1,4]=>1010010=>[1,2,3,2] [8,3,2,1,4,7,5,6]=>1110010=>[1,1,1,3,2] [4,7,3,1,8,5,2,6]=>0110110=>[2,1,2,1,2] [3,7,8,2,5,6,1,4]=>0010010=>[3,3,2] [7,5,1,4,2,3,6,8]=>1101000=>[1,1,2,4] [7,8,6,1,2,4,5,3]=>0110001=>[2,1,4,1] [1,5,3,4,7,8,6,2]=>0100011=>[2,4,1,1] [5,1,2,4,7,8,6,3]=>1000011=>[1,5,1,1] [5,1,7,8,6,2,3,4]=>1001100=>[1,3,1,3] [8,5,1,6,7,2,3,4]=>1100100=>[1,1,3,3] [7,5,1,2,4,6,8,3]=>1100001=>[1,1,5,1] [6,1,5,2,7,3,4,8]=>1010100=>[1,2,2,3] [7,1,2,6,4,5,8,3]=>1001001=>[1,3,3,1] [1,7,3,6,4,5,8,2]=>0101001=>[2,2,3,1] [1,8,3,6,4,5,7,2]=>0101001=>[2,2,3,1] [8,1,6,2,7,3,4,5]=>1010100=>[1,2,2,3] [7,1,6,2,5,3,4,8]=>1010100=>[1,2,2,3] [8,1,6,2,5,3,4,7]=>1010100=>[1,2,2,3] [8,1,7,2,5,3,4,6]=>1010100=>[1,2,2,3] [8,1,2,7,4,5,6,3]=>1001001=>[1,3,3,1] [1,8,3,7,4,5,6,2]=>0101001=>[2,2,3,1] [8,1,6,7,5,2,3,4]=>1001100=>[1,3,1,3] [7,3,1,2,6,4,5,8]=>1100100=>[1,1,3,3] [3,1,2,8,5,6,7,4]=>1001001=>[1,3,3,1] [6,3,1,2,7,4,5,8]=>1100100=>[1,1,3,3] [6,1,7,4,2,3,5,8]=>1011000=>[1,2,1,4] [1,7,3,4,6,8,5,2]=>0100011=>[2,4,1,1] [1,7,3,8,4,5,6,2]=>0101001=>[2,2,3,1] [7,1,8,2,5,3,4,6]=>1010100=>[1,2,2,3] [6,1,7,2,5,3,4,8]=>1010100=>[1,2,2,3] [5,1,7,2,6,3,4,8]=>1010100=>[1,2,2,3] [5,1,8,2,6,3,4,7]=>1010100=>[1,2,2,3] [1,6,3,7,4,5,8,2]=>0101001=>[2,2,3,1] [2,4,7,3,5,1,6,8]=>0010100=>[3,2,3] [2,4,8,6,3,5,1,7]=>0011010=>[3,1,2,2] [2,3,7,5,4,1,6,8]=>0011100=>[3,1,1,3] [3,4,6,2,1,5,8,7]=>0011001=>[3,1,3,1] [3,4,7,2,1,6,5,8]=>0011010=>[3,1,2,2] [2,6,8,3,5,1,4,7]=>0010100=>[3,2,3] [2,3,6,1,5,8,4,7]=>0010010=>[3,3,2] [2,3,7,1,6,5,8,4]=>0010101=>[3,2,2,1] [2,4,7,1,3,6,8,5]=>0010001=>[3,4,1] [5,4,7,8,1,3,2,6]=>1001010=>[1,3,2,2] [2,5,7,1,4,6,3,8]=>0010010=>[3,3,2] [2,4,7,1,6,3,5,8]=>0010100=>[3,2,3] [2,3,7,1,6,5,4,8]=>0010110=>[3,2,1,2] [2,5,7,1,4,3,6,8]=>0010100=>[3,2,3] [2,5,7,3,1,4,6,8]=>0011000=>[3,1,4] [3,4,7,2,1,6,8,5]=>0011001=>[3,1,3,1] [4,6,3,7,1,5,2,8]=>0101010=>[2,2,2,2] [5,7,3,2,8,1,4,6]=>0110100=>[2,1,2,3] [2,6,5,7,1,8,4,3]=>0101011=>[2,2,2,1,1] [3,6,8,5,4,1,7,2]=>0011101=>[3,1,1,2,1] [5,4,7,8,1,3,6,2]=>1001001=>[1,3,3,1] [2,5,7,1,4,6,8,3]=>0010001=>[3,4,1] [2,4,7,1,6,3,8,5]=>0010101=>[3,2,2,1] [2,4,7,1,6,8,3,5]=>0010010=>[3,3,2] [2,4,8,3,1,7,6,5]=>0011011=>[3,1,2,1,1] [1,8,3,4,5,6,7,9,2]=>01000001=>[2,6,1] [7,2,3,4,5,6,1,9,8]=>10000101=>[1,5,2,1] [2,1,9,4,5,6,7,8,3]=>10100001=>[1,2,5,1] [2,8,3,4,5,6,7,1,9]=>01000010=>[2,5,2] [8,6,5,1,2,4,3,7]=>1110010=>[1,1,1,3,2] [7,6,1,4,2,3,5,8]=>1101000=>[1,1,2,4] [6,5,1,4,8,3,2,7]=>1100110=>[1,1,3,1,2] [8,7,1,4,3,2,5,6]=>1101100=>[1,1,2,1,3] [8,7,5,1,4,2,3,6]=>1110100=>[1,1,1,2,3] [8,4,1,2,5,3,6,7]=>1100100=>[1,1,3,3] [8,6,1,4,2,5,3,7]=>1101010=>[1,1,2,2,2] [8,7,1,4,3,2,6,5]=>1101101=>[1,1,2,1,2,1] [8,7,6,3,1,5,4,2]=>1111011=>[1,1,1,1,2,1,1] [2,8,3,7,4,5,6,1]=>0101001=>[2,2,3,1] [8,7,5,2,4,3,6,1]=>1110101=>[1,1,1,2,2,1] [2,9,1,8,7,6,5,4,3]=>01011111=>[2,2,1,1,1,1,1] [2,9,8,1,7,6,5,4,3]=>01101111=>[2,1,2,1,1,1,1] [4,2,5,7,3,1,6,8]=>1001100=>[1,3,1,3] [8,2,4,5,3,1,6,7]=>1001100=>[1,3,1,3] [8,4,5,1,3,2,6,7]=>1010100=>[1,2,2,3] [4,3,7,5,2,1,6,8]=>1011100=>[1,2,1,1,3] [1,6,7,4,3,2,5,8]=>0011100=>[3,1,1,3] [1,4,5,7,3,2,6,8]=>0001100=>[4,1,3] [3,5,1,4,7,2,6,8]=>0100100=>[2,3,3] [2,5,1,4,7,8,3,6]=>0100010=>[2,4,2] [4,3,7,1,5,2,6,8]=>1010100=>[1,2,2,3] [3,5,1,6,4,2,7,8]=>0101100=>[2,2,1,3] [6,4,3,1,7,2,5,8]=>1110100=>[1,1,1,2,3] [6,2,7,4,3,1,5,8]=>1011100=>[1,2,1,1,3] [2,6,4,1,7,3,5,8]=>0110100=>[2,1,2,3] [6,3,2,7,4,5,1,8]=>1101010=>[1,1,2,2,2] [7,2,4,1,3,6,8,5]=>1010001=>[1,2,4,1] [6,3,2,5,7,1,4,8]=>1100100=>[1,1,3,3] [3,2,6,5,7,1,4,8]=>1010100=>[1,2,2,3] [1,7,3,2,5,6,4,8]=>0110010=>[2,1,3,2] [2,1,7,3,5,6,8,4]=>1010001=>[1,2,4,1] [2,1,6,3,5,7,8,4]=>1010001=>[1,2,4,1] [1,6,3,2,5,7,4,8]=>0110010=>[2,1,3,2] [1,4,6,5,2,7,3,8]=>0011010=>[3,1,2,2] [5,6,2,1,4,3,7,8]=>0110100=>[2,1,2,3] [2,5,1,6,4,3,7,8]=>0101100=>[2,2,1,3] [2,5,4,1,6,3,7,8]=>0110100=>[2,1,2,3] [4,6,1,5,2,7,3,8]=>0101010=>[2,2,2,2] [1,6,5,3,7,2,4,8]=>0110100=>[2,1,2,3] [1,2,5,4,7,3,6,8]=>0010100=>[3,2,3] [1,2,5,3,4,8,7,6]=>0010011=>[3,3,1,1] [5,2,7,6,1,8,4,3]=>1011011=>[1,2,1,2,1,1] [5,8,2,6,1,7,4,3]=>0101011=>[2,2,2,1,1] [1,7,8,2,4,6,5,3]=>0010011=>[3,3,1,1] [1,5,8,3,6,2,7,4]=>0010101=>[3,2,2,1] [6,8,7,1,4,5,2,3]=>0110010=>[2,1,3,2] [1,2,6,4,7,3,8,5]=>0010101=>[3,2,2,1] [1,2,7,8,3,5,6,4]=>0001001=>[4,3,1] [4,8,7,6,2,1,5,3]=>0111101=>[2,1,1,1,2,1] [2,7,4,5,8,1,6,3]=>0100101=>[2,3,2,1] [2,6,1,8,5,4,3,7]=>0101110=>[2,2,1,1,2] [5,8,6,2,3,4,1,7]=>0110010=>[2,1,3,2] [4,5,8,6,2,1,3,7]=>0011100=>[3,1,1,3] [6,4,7,5,8,2,1,3]=>1010110=>[1,2,2,1,2] [6,3,7,4,2,5,8,1]=>1011001=>[1,2,1,3,1] [6,2,1,5,8,4,3,7]=>1100110=>[1,1,3,1,2] [7,5,6,2,4,3,8,1]=>1010101=>[1,2,2,2,1] [4,6,2,5,7,3,8,1]=>0100101=>[2,3,2,1] [4,2,8,5,3,6,1,7]=>1011010=>[1,2,1,2,2] [8,1,7,4,5,6,2,3]=>1010010=>[1,2,3,2] [2,1,7,8,4,5,6,3]=>1001001=>[1,3,3,1] [8,2,1,4,3,7,6,5]=>1101011=>[1,1,2,2,1,1] [7,6,5,3,1,2,8,4]=>1111001=>[1,1,1,1,3,1] [5,4,1,6,2,8,3,7]=>1101010=>[1,1,2,2,2] [6,2,3,1,7,8,4,5]=>1010010=>[1,2,3,2] [3,1,8,6,7,2,4,5]=>1010100=>[1,2,2,3] [4,2,5,1,8,6,7,3]=>1010101=>[1,2,2,2,1] [4,5,3,7,1,6,8,2]=>0101001=>[2,2,3,1] [4,2,8,5,3,6,7,1]=>1011001=>[1,2,1,3,1] [2,8,6,3,5,4,7,1]=>0110101=>[2,1,2,2,1] [3,5,2,8,6,4,7,1]=>0101101=>[2,2,1,2,1] [7,3,5,1,6,4,8,2]=>1010101=>[1,2,2,2,1] [5,1,4,7,2,6,8,3]=>1001001=>[1,3,3,1] [1,8,2,5,6,4,7,3]=>0100101=>[2,3,2,1] [2,7,1,4,8,5,6,3]=>0100101=>[2,3,2,1] [2,8,4,6,1,3,7,5]=>0101001=>[2,2,3,1] [8,4,6,2,5,3,7,1]=>1010101=>[1,2,2,2,1] [8,3,7,6,2,1,5,4]=>1011101=>[1,2,1,1,2,1] [8,5,2,7,6,1,4,3]=>1101101=>[1,1,2,1,2,1] [5,8,2,7,6,1,4,3]=>0101101=>[2,2,1,2,1] [8,3,7,6,2,5,1,4]=>1011010=>[1,2,1,2,2] [7,3,8,6,5,1,4,2]=>1011101=>[1,2,1,1,2,1] [9,8,7,6,1,2,3,4,5,10]=>111100000=>[1,1,1,1,6] [2,6,3,7,5,4,8,1]=>0101101=>[2,2,1,2,1] [5,4,7,1,3,8,6,2]=>1010011=>[1,2,3,1,1] [2,8,5,1,4,7,3,6]=>0110010=>[2,1,3,2] [8,1,4,2,5,7,3,6]=>1010010=>[1,2,3,2] [7,2,6,5,8,4,3,1]=>1010111=>[1,2,2,1,1,1] [3,4,8,5,6,2,7,1]=>0010101=>[3,2,2,1] [5,8,2,3,4,6,1,7]=>0100010=>[2,4,2] [6,1,3,4,2,5,7,8]=>1001000=>[1,3,4] [1,5,6,3,2,4,7,8]=>0011000=>[3,1,4] [6,3,5,2,4,1,7,8]=>1010100=>[1,2,2,3] [7,8,3,5,2,4,6,1]=>0101001=>[2,2,3,1] [2,4,5,7,3,6,1,8]=>0001010=>[4,2,2] [2,5,3,1,6,4,7,8]=>0110100=>[2,1,2,3] [6,5,1,3,4,2,7,8]=>1100100=>[1,1,3,3] [5,7,4,3,2,6,1,8]=>0111010=>[2,1,1,2,2] [6,8,7,4,3,5,1,2]=>0111010=>[2,1,1,2,2] [2,6,7,8,4,3,5,1]=>0001101=>[4,1,2,1] [1,7,8,4,5,3,6,2]=>0010101=>[3,2,2,1] [7,1,8,5,3,4,6,2]=>1011001=>[1,2,1,3,1] [5,7,4,2,1,6,3,8]=>0111010=>[2,1,1,2,2] [5,1,4,7,3,6,2,8]=>1001010=>[1,3,2,2] [7,4,8,6,3,5,2,1]=>1011011=>[1,2,1,2,1,1] [4,7,6,3,5,2,1,8]=>0110110=>[2,1,2,1,2] [1,6,5,8,7,4,2,3]=>0101110=>[2,2,1,1,2] [6,1,3,8,7,5,2,4]=>1001110=>[1,3,1,1,2] [7,6,2,1,8,3,5,4]=>1110101=>[1,1,1,2,2,1] [7,1,3,6,8,2,5,4]=>1000101=>[1,4,2,1] [1,7,5,6,8,2,4,3]=>0100101=>[2,3,2,1] [3,6,7,5,8,2,4,1]=>0010101=>[3,2,2,1] [1,7,4,5,2,8,6,3]=>0101011=>[2,2,2,1,1] [7,5,4,2,1,8,6,3]=>1111011=>[1,1,1,1,2,1,1] [3,6,7,4,2,8,5,1]=>0011011=>[3,1,2,1,1] [4,6,3,2,7,8,5,1]=>0110011=>[2,1,3,1,1] [7,6,1,3,4,2,5,8]=>1100100=>[1,1,3,3] [7,8,2,6,4,5,3,1]=>0101011=>[2,2,2,1,1] [7,2,5,4,6,1,3,8]=>1010100=>[1,2,2,3] [7,1,2,4,5,6,3,8]=>1000010=>[1,5,2] [7,3,2,1,5,6,4,8]=>1110010=>[1,1,1,3,2] [3,6,2,1,7,5,4,8]=>0110110=>[2,1,2,1,2] [2,6,7,3,1,5,4,8]=>0011010=>[3,1,2,2] [2,1,6,4,7,5,3,8]=>1010110=>[1,2,2,1,2] [7,2,8,5,6,4,3,1]=>1010111=>[1,2,2,1,1,1] [7,6,8,5,4,1,3,2]=>1011101=>[1,2,1,1,2,1] [7,1,8,4,6,5,3,2]=>1010111=>[1,2,2,1,1,1] [7,8,6,3,1,5,4,2]=>0111011=>[2,1,1,2,1,1] [7,6,1,4,5,3,2,8]=>1100110=>[1,1,3,1,2] [7,1,5,6,4,3,2,8]=>1001110=>[1,3,1,1,2] [4,1,3,8,6,2,7,5]=>1001101=>[1,3,1,2,1] [5,1,2,8,4,6,7,3]=>1001001=>[1,3,3,1] [5,6,3,2,8,1,7,4]=>0110101=>[2,1,2,2,1] [8,2,6,3,1,5,7,4]=>1011001=>[1,2,1,3,1] [8,2,5,6,7,4,3,1]=>1000111=>[1,4,1,1,1] [8,2,5,3,4,7,6,1]=>1010011=>[1,2,3,1,1] [7,5,3,2,4,1,8,6]=>1110101=>[1,1,1,2,2,1] [7,1,2,3,6,8,4,5]=>1000010=>[1,5,2] [6,7,2,8,3,4,5,1]=>0101001=>[2,2,3,1] [3,1,8,4,6,5,7,2]=>1010101=>[1,2,2,2,1] [6,1,2,3,8,4,7,5]=>1000101=>[1,4,2,1] [8,1,6,7,4,2,3,5]=>1001100=>[1,3,1,3] [8,1,6,4,5,2,3,7]=>1010100=>[1,2,2,3] [8,6,4,7,2,3,5,1]=>1101001=>[1,1,2,3,1] [8,6,4,1,2,3,7,5]=>1110001=>[1,1,1,4,1] [8,6,1,4,2,5,7,3]=>1101001=>[1,1,2,3,1] [8,6,7,4,2,5,1,3]=>1011010=>[1,2,1,2,2] [8,6,4,2,5,3,7,1]=>1110101=>[1,1,1,2,2,1] [8,6,4,2,5,3,1,7]=>1110110=>[1,1,1,2,1,2] [8,6,4,2,7,3,1,5]=>1110110=>[1,1,1,2,1,2] [8,6,4,1,5,7,2,3]=>1110010=>[1,1,1,3,2] [8,6,4,2,1,5,7,3]=>1111001=>[1,1,1,1,3,1] [8,6,4,2,1,7,3,5]=>1111010=>[1,1,1,1,2,2] [8,6,1,4,7,2,5,3]=>1100101=>[1,1,3,2,1] [8,6,4,1,5,2,3,7]=>1110100=>[1,1,1,2,3] [8,6,7,1,4,5,2,3]=>1010010=>[1,2,3,2] [8,6,4,5,2,7,3,1]=>1101011=>[1,1,2,2,1,1] [8,6,7,4,2,1,5,3]=>1011101=>[1,2,1,1,2,1] [8,6,4,7,2,1,5,3]=>1101101=>[1,1,2,1,2,1] [8,6,4,2,5,7,3,1]=>1110011=>[1,1,1,3,1,1] [8,6,4,2,5,1,7,3]=>1110101=>[1,1,1,2,2,1] [8,6,4,2,5,7,1,3]=>1110010=>[1,1,1,3,2] [3,4,7,5,8,2,6,1]=>0010101=>[3,2,2,1] [8,7,1,4,6,5,2,3]=>1100110=>[1,1,3,1,2] [8,3,7,6,4,5,1,2]=>1011010=>[1,2,1,2,2] [5,3,8,6,4,1,7,2]=>1011101=>[1,2,1,1,2,1] [8,10,1,2,3,4,5,9,6,7]=>010000010=>[2,6,2] [10,8,1,9,2,3,4,5,6,7]=>110100000=>[1,1,2,6] [8,7,1,2,3,4,5,9,10,6]=>110000001=>[1,1,7,1] [10,11,1,9,2,3,4,5,6,7,8]=>0101000000=>[2,2,7] [6,1,2,3,4,5,7,8,9]=>10000000=>[1,8] [5,1,2,3,4,6,7,8,9]=>10000000=>[1,8] [4,1,2,3,5,6,7,8,9]=>10000000=>[1,8] [2,10,1,5,6,7,8,9,3,4]=>010000010=>[2,6,2] [2,3,4,5,6,7,8,9,10,11,12,1]=>00000000001=>[11,1] [7,4,5,1,2,8,6,3]=>1010011=>[1,2,3,1,1] [6,4,7,1,8,5,2,3]=>1010110=>[1,2,2,1,2] [5,7,4,2,3,8,6,1]=>0110011=>[2,1,3,1,1] [3,8,2,5,1,7,4,6]=>0101010=>[2,2,2,2] [5,8,4,2,3,7,1,6]=>0110010=>[2,1,3,2] [4,8,5,2,1,7,3,6]=>0111010=>[2,1,1,2,2] [8,5,7,6,1,2,4,3]=>1011001=>[1,2,1,3,1] [6,8,7,5,2,4,1,3]=>0111010=>[2,1,1,2,2] [5,7,6,8,4,1,3,2]=>0101101=>[2,2,1,2,1] [7,3,1,6,8,5,4,2]=>1100111=>[1,1,3,1,1,1] [5,3,1,7,4,8,6,2]=>1101011=>[1,1,2,2,1,1] [7,3,1,8,6,4,5,2]=>1101101=>[1,1,2,1,2,1] [8,6,4,1,7,3,2,5]=>1110110=>[1,1,1,2,1,2] [4,6,8,3,7,1,2,5]=>0010100=>[3,2,3] [3,5,2,8,4,7,1,6]=>0101010=>[2,2,2,2] [6,4,8,3,7,2,1,5]=>1010110=>[1,2,2,1,2] [3,6,2,8,7,4,1,5]=>0101110=>[2,2,1,1,2] [6,8,4,2,7,3,1,5]=>0110110=>[2,1,2,1,2] [9,8,2,3,4,5,6,7,1]=>11000001=>[1,1,6,1] [8,9,2,3,4,5,6,7,1]=>01000001=>[2,6,1] [9,8,7,6,4,5,3,2,1]=>11110111=>[1,1,1,1,2,1,1,1] [5,6,7,9,8,4,3,2,1]=>00011111=>[4,1,1,1,1,1] [5,6,7,8,9,1,4,3,2]=>00001011=>[5,2,1,1] [10,9,2,3,4,5,6,7,8,1]=>110000001=>[1,1,7,1] [3,4,7,8,5,1,2,6]=>0001100=>[4,1,3] [4,7,3,2,5,6,8,1]=>0110001=>[2,1,4,1] [3,2,7,6,4,5,8,1]=>1011001=>[1,2,1,3,1] [1,7,3,6,8,4,2,5]=>0100110=>[2,3,1,2] [2,3,6,5,1,8,7,4]=>0011011=>[3,1,2,1,1] [8,3,1,2,6,4,7,5]=>1100101=>[1,1,3,2,1] [1,7,8,2,4,3,5,6]=>0010100=>[3,2,3] [3,6,4,7,1,2,8,5]=>0101001=>[2,2,3,1] [5,7,4,8,1,3,2,6]=>0101010=>[2,2,2,2] [4,3,7,8,1,5,2,6]=>1001010=>[1,3,2,2] [8,5,4,2,6,1,7,3]=>1110101=>[1,1,1,2,2,1] [3,2,6,8,7,4,1,5]=>1001110=>[1,3,1,1,2] [2,3,7,5,1,8,6,4]=>0011011=>[3,1,2,1,1] [6,3,1,2,8,7,4,5]=>1100110=>[1,1,3,1,2] [5,2,1,3,8,7,6,4]=>1100111=>[1,1,3,1,1,1] [7,2,1,5,3,8,4,6]=>1101010=>[1,1,2,2,2] [1,5,8,2,4,3,6,7]=>0010100=>[3,2,3] [4,3,6,8,1,5,2,7]=>1001010=>[1,3,2,2] [5,4,6,8,3,1,7,2]=>1001101=>[1,3,1,2,1] [3,6,8,4,5,1,7,2]=>0010101=>[3,2,2,1] [8,6,1,7,2,4,3,5]=>1101010=>[1,1,2,2,2] [7,3,1,2,8,6,4,5]=>1100110=>[1,1,3,1,2] [2,3,7,6,1,8,5,4]=>0011011=>[3,1,2,1,1] [3,2,7,8,6,4,1,5]=>1001110=>[1,3,1,1,2] [6,2,8,3,1,4,7,5]=>1011001=>[1,2,1,3,1] [3,1,2,8,7,4,5,6]=>1001100=>[1,3,1,3] [2,1,3,8,7,4,6,5]=>1001101=>[1,3,1,2,1] [2,1,3,8,7,4,5,6]=>1001100=>[1,3,1,3] [1,6,8,3,2,4,7,5]=>0011001=>[3,1,3,1] [8,5,1,7,2,4,3,6]=>1101010=>[1,1,2,2,2] [8,4,1,7,3,2,5,6]=>1101100=>[1,1,2,1,3] [8,3,1,6,2,7,5,4]=>1101011=>[1,1,2,2,1,1] [1,3,2,8,7,6,4,5]=>0101110=>[2,2,1,1,2] [2,1,3,8,7,6,4,5]=>1001110=>[1,3,1,1,2] [2,4,3,1,6,5,8,7,10,9]=>011010101=>[2,1,2,2,2,1] [1,6,3,7,2,5,4,8]=>0101010=>[2,2,2,2] [1,7,2,4,6,3,5,8]=>0100100=>[2,3,3] [5,7,2,8,4,1,3,6]=>0101100=>[2,2,1,3] [5,6,2,8,4,1,3,7]=>0101100=>[2,2,1,3] [2,4,8,3,1,6,7,5]=>0011001=>[3,1,3,1] [3,5,8,4,2,1,6,7]=>0011100=>[3,1,1,3] [2,5,8,3,1,4,6,7]=>0011000=>[3,1,4] [2,8,1,3,5,7,4,6]=>0100010=>[2,4,2] [5,4,7,8,3,2,6,1]=>1001101=>[1,3,1,2,1] [3,6,8,2,5,1,4,7]=>0010100=>[3,2,3] [3,6,8,7,2,5,4,1]=>0011011=>[3,1,2,1,1] [3,4,6,5,8,2,1,7]=>0010110=>[3,2,1,2] [2,4,6,7,8,3,5,1]=>0000101=>[5,2,1] [1,4,2,5,7,6,3,8]=>0100110=>[2,3,1,2] [1,4,2,6,8,5,3,7]=>0100110=>[2,3,1,2] [1,2,6,8,3,5,4,7]=>0001010=>[4,2,2] [1,6,8,3,5,4,2,7]=>0010110=>[3,2,1,2] [1,5,3,2,4,6,8,7]=>0110001=>[2,1,4,1] [1,5,8,7,6,3,2,4]=>0011110=>[3,1,1,1,2] [1,5,7,6,3,2,4,8]=>0011100=>[3,1,1,3] [1,6,3,2,4,7,5,8]=>0110010=>[2,1,3,2] [1,6,3,2,4,8,7,5]=>0110011=>[2,1,3,1,1] [1,2,7,6,4,3,5,8]=>0011100=>[3,1,1,3] [1,8,7,5,2,4,6,3]=>0111001=>[2,1,1,3,1] [1,7,5,2,4,6,3,8]=>0110010=>[2,1,3,2] [1,7,4,2,5,3,6,8]=>0110100=>[2,1,2,3] [1,8,4,7,5,2,6,3]=>0101101=>[2,2,1,2,1] [1,7,5,2,3,6,4,8]=>0110010=>[2,1,3,2] [1,7,5,2,6,3,4,8]=>0110100=>[2,1,2,3] [1,6,3,7,4,2,5,8]=>0101100=>[2,2,1,3] [1,6,3,2,7,5,4,8]=>0110110=>[2,1,2,1,2] [1,4,7,5,2,6,3,8]=>0011010=>[3,1,2,2] [1,3,6,4,8,7,5,2]=>0010111=>[3,2,1,1,1] [1,3,7,6,4,2,5,8]=>0011100=>[3,1,1,3] [1,3,2,4,8,5,7,6]=>0100101=>[2,3,2,1] [1,3,8,7,5,2,4,6]=>0011100=>[3,1,1,3] [1,4,6,3,2,7,5,8]=>0011010=>[3,1,2,2] [1,4,6,3,2,8,7,5]=>0011011=>[3,1,2,1,1] [1,5,7,6,4,2,3,8]=>0011100=>[3,1,1,3] [1,6,3,2,8,4,7,5]=>0110101=>[2,1,2,2,1] [1,6,3,5,2,7,4,8]=>0101010=>[2,2,2,2] [1,6,3,5,2,8,7,4]=>0101011=>[2,2,2,1,1] [1,8,3,7,5,2,4,6]=>0101100=>[2,2,1,3] [7,8,4,9,5,2,10,6,3,1]=>010110111=>[2,2,1,2,1,1,1] [6,4,7,1,5,3,8,2]=>1010101=>[1,2,2,2,1] [5,3,8,2,6,4,7,1]=>1010101=>[1,2,2,2,1] [4,3,8,2,6,5,7,1]=>1010101=>[1,2,2,2,1] [2,6,1,8,3,4,7,5]=>0101001=>[2,2,3,1] [5,7,1,4,8,2,3,6]=>0100100=>[2,3,3] [6,5,7,1,4,3,8,2]=>1010101=>[1,2,2,2,1] [4,8,3,5,7,6,1,2]=>0100110=>[2,3,1,2] [5,7,6,1,2,4,8,3]=>0110001=>[2,1,4,1] [4,8,3,5,7,6,2,1]=>0100111=>[2,3,1,1,1] [1,3,4,2,8,5,7,6]=>0010101=>[3,2,2,1] [5,7,6,2,4,8,3,1]=>0110011=>[2,1,3,1,1] [6,7,5,2,3,8,4,1]=>0110011=>[2,1,3,1,1] [6,7,5,3,8,4,2,1]=>0110111=>[2,1,2,1,1,1] [3,2,1,4,8,5,7,6]=>1100101=>[1,1,3,2,1] [7,3,1,4,2,6,5,8]=>1101010=>[1,1,2,2,2] [7,4,1,6,2,5,3,8]=>1101010=>[1,1,2,2,2] [5,4,1,8,2,6,3,7]=>1101010=>[1,1,2,2,2] [5,3,1,8,2,6,4,7]=>1101010=>[1,1,2,2,2] [4,7,1,5,2,6,3,8]=>0101010=>[2,2,2,2] [6,5,1,4,2,7,3,8]=>1101010=>[1,1,2,2,2] [1,8,7,3,4,5,2,6]=>0110010=>[2,1,3,2] [1,8,9,3,4,5,6,7,2]=>00100001=>[3,5,1] [1,8,7,4,5,2,3,6]=>0110100=>[2,1,2,3] [1,2,6,8,7,3,4,5]=>0001100=>[4,1,3] [1,3,7,8,4,5,6,2]=>0001001=>[4,3,1] [1,3,4,5,6,7,8,9,10,11,12,2]=>00000000001=>[11,1] [8,4,2,3,1,6,5,7]=>1101010=>[1,1,2,2,2] [6,4,5,2,8,1,7,3]=>1010101=>[1,2,2,2,1] [4,8,6,2,3,1,7,5]=>0110101=>[2,1,2,2,1] [6,4,2,1,8,5,3,7]=>1110110=>[1,1,1,2,1,2] [4,2,6,1,5,8,3,7]=>1010010=>[1,2,3,2] [6,4,2,3,5,8,1,7]=>1100010=>[1,1,4,2] [2,8,6,4,5,1,7,3]=>0110101=>[2,1,2,2,1] [8,2,4,6,7,1,5,3]=>1000101=>[1,4,2,1] [2,6,3,1,7,4,8,5]=>0110101=>[2,1,2,2,1] [6,5,1,8,3,2,7,4]=>1101101=>[1,1,2,1,2,1] [1,4,3,7,2,8,6,5]=>0101011=>[2,2,2,1,1] [1,8,7,4,5,3,2,6]=>0110110=>[2,1,2,1,2] [2,8,3,1,4,5,7,6]=>0110001=>[2,1,4,1] [3,2,6,7,8,4,5,1]=>1000101=>[1,4,2,1] [1,7,4,6,3,8,2,5]=>0101010=>[2,2,2,2] [5,6,4,1,3,8,2,7]=>0110010=>[2,1,3,2] [4,5,3,1,8,7,6,2]=>0110111=>[2,1,2,1,1,1] [6,3,4,2,7,8,5,1]=>1010011=>[1,2,3,1,1] [8,7,4,5,1,6,3,2]=>1101011=>[1,1,2,2,1,1] [6,2,7,8,1,3,5,4]=>1001001=>[1,3,3,1] [5,1,8,4,3,7,2,6]=>1011010=>[1,2,1,2,2] [7,2,8,1,4,5,6,3]=>1010001=>[1,2,4,1] [1,4,8,2,5,6,7,3]=>0010001=>[3,4,1] [2,1,4,3,6,5,8,10,9,7]=>101010011=>[1,2,2,3,1,1] [2,1,4,3,6,8,7,5,10,9]=>101001101=>[1,2,3,1,2,1] [2,1,4,3,8,10,7,9,5,6]=>101001010=>[1,2,3,2,2] [2,1,4,3,6,7,10,8,9,5]=>101000101=>[1,2,4,2,1] [2,1,4,6,5,3,8,7,10,9]=>100110101=>[1,3,1,2,2,1] [2,1,4,6,5,3,8,10,9,7]=>100110011=>[1,3,1,3,1,1] [2,1,6,8,5,7,3,4,10,9]=>100101001=>[1,3,2,3,1] [2,1,8,7,5,10,4,9,3,6]=>101101010=>[1,2,1,2,2,2] [2,1,6,7,5,10,8,4,9,3]=>100101101=>[1,3,2,1,2,1] [2,1,4,5,8,6,7,3,10,9]=>100010101=>[1,4,2,2,1] [2,1,8,5,10,6,7,9,3,4]=>101010010=>[1,2,2,3,2] [2,1,4,7,10,6,9,8,3,5]=>100010110=>[1,4,2,1,2] [2,1,4,5,6,10,7,8,9,3]=>100001001=>[1,5,3,1] [2,4,3,1,6,5,8,10,9,7]=>011010011=>[2,1,2,3,1,1] [2,4,3,1,6,8,7,5,10,9]=>011001101=>[2,1,3,1,2,1] [2,4,3,1,8,10,7,9,5,6]=>011001010=>[2,1,3,2,2] [2,4,3,1,6,7,10,8,9,5]=>011000101=>[2,1,4,2,1] [4,6,3,5,1,2,8,7,10,9]=>010100101=>[2,2,3,2,1] [4,6,3,5,1,2,8,10,9,7]=>010100011=>[2,2,4,1,1] [6,5,3,8,2,7,1,4,10,9]=>110101001=>[1,1,2,2,3,1] [8,5,3,7,2,10,4,9,1,6]=>110101010=>[1,1,2,2,2,2] [6,5,3,7,2,10,8,4,9,1]=>110101101=>[1,1,2,2,1,2,1] [4,5,3,8,6,2,7,1,10,9]=>010110101=>[2,2,1,2,2,1] [8,6,3,5,10,2,7,9,1,4]=>110010010=>[1,1,3,3,2] [4,7,3,6,10,1,9,8,2,5]=>010010110=>[2,3,2,1,2] [4,5,3,6,10,7,1,8,9,2]=>010011001=>[2,3,1,3,1] [2,3,6,4,5,1,8,7,10,9]=>001010101=>[3,2,2,2,1] [2,3,6,4,5,1,8,10,9,7]=>001010011=>[3,2,3,1,1] [6,3,8,4,5,7,1,2,10,9]=>101001001=>[1,2,3,3,1] [8,3,7,4,5,10,2,9,1,6]=>101001010=>[1,2,3,2,2] [6,3,7,4,5,10,8,2,9,1]=>101001101=>[1,2,3,1,2,1] [2,5,8,4,7,6,1,3,10,9]=>001011001=>[3,2,1,3,1] [8,5,10,4,7,6,2,9,1,3]=>101011010=>[1,2,2,1,2,2] [2,7,10,4,8,6,9,5,1,3]=>001010110=>[3,2,2,1,2] [2,5,6,4,10,8,7,3,9,1]=>001011101=>[3,2,1,1,2,1] [2,3,4,8,5,6,7,1,10,9]=>000100101=>[4,3,2,1] [8,3,4,10,5,6,7,9,1,2]=>100100010=>[1,3,4,2] [2,7,4,10,5,6,9,8,1,3]=>010100110=>[2,2,3,1,2] [2,3,6,10,5,9,7,8,1,4]=>000101010=>[4,2,2,2] [2,3,4,5,10,6,7,8,9,1]=>000010001=>[5,4,1] [2,1,4,3,6,5,10,12,9,11,7,8]=>10101001010=>[1,2,2,3,2,2] [2,1,4,3,8,10,7,9,5,6,12,11]=>10100101001=>[1,2,3,2,3,1] [2,1,4,3,10,9,7,12,6,11,5,8]=>10101101010=>[1,2,2,1,2,2,2] [2,1,4,3,10,7,12,8,9,11,5,6]=>10101010010=>[1,2,2,2,3,2] [2,1,6,8,5,7,3,4,10,9,12,11]=>10010100101=>[1,3,2,3,2,1] [2,1,8,7,5,10,4,9,3,6,12,11]=>10110101001=>[1,2,1,2,2,3,1] [2,1,10,7,5,9,4,12,6,11,3,8]=>10110101010=>[1,2,1,2,2,2,2] [2,1,8,7,5,9,4,12,10,6,11,3]=>10110101101=>[1,2,1,2,2,1,2,1] [2,1,4,5,8,6,7,3,10,9,12,11]=>10001010101=>[1,4,2,2,2,1] [2,1,8,5,10,6,7,9,3,4,12,11]=>10101001001=>[1,2,2,3,3,1] [2,1,10,5,9,6,7,12,4,11,3,8]=>10101001010=>[1,2,2,3,2,2] [2,1,10,7,12,6,9,8,4,11,3,5]=>10101011010=>[1,2,2,2,1,2,2] [2,1,10,5,6,12,7,8,9,11,3,4]=>10100100010=>[1,2,3,4,2] [2,4,3,1,6,5,8,7,10,9,12,11]=>01101010101=>[2,1,2,2,2,2,1] [2,4,3,1,6,5,10,12,9,11,7,8]=>01101001010=>[2,1,2,3,2,2] [2,4,3,1,10,9,7,12,6,11,5,8]=>01101101010=>[2,1,2,1,2,2,2] [2,4,3,1,10,7,12,8,9,11,5,6]=>01101010010=>[2,1,2,2,3,2] [4,6,3,5,1,2,8,7,10,9,12,11]=>01010010101=>[2,2,3,2,2,1] [4,6,3,5,1,2,10,12,9,11,7,8]=>01010001010=>[2,2,4,2,2] [8,5,3,7,2,10,4,9,1,6,12,11]=>11010101001=>[1,1,2,2,2,3,1] [10,5,3,7,2,9,4,12,6,11,1,8]=>11010101010=>[1,1,2,2,2,2,2] [8,5,3,7,2,9,4,12,10,6,11,1]=>11010101101=>[1,1,2,2,2,1,2,1] [6,5,3,7,2,10,8,4,9,1,12,11]=>11010110101=>[1,1,2,2,1,2,2,1] [4,5,3,8,6,2,7,1,10,9,12,11]=>01011010101=>[2,2,1,2,2,2,1] [10,7,3,5,6,12,2,8,9,11,1,4]=>11000100010=>[1,1,4,4,2] [4,5,3,8,7,12,2,11,9,10,1,6]=>01010101010=>[2,2,2,2,2,2] [2,3,6,4,5,1,8,7,10,9,12,11]=>00101010101=>[3,2,2,2,2,1] [2,3,6,4,5,1,8,7,10,12,11,9]=>00101010011=>[3,2,2,3,1,1] [2,3,6,4,5,1,10,12,9,11,7,8]=>00101001010=>[3,2,3,2,2] [2,3,6,4,5,1,8,9,12,10,11,7]=>00101000101=>[3,2,4,2,1] [6,3,8,4,5,7,1,2,10,9,12,11]=>10100100101=>[1,2,3,3,2,1] [8,3,7,4,5,10,2,9,1,6,12,11]=>10100101001=>[1,2,3,2,3,1] [10,3,7,4,5,9,2,12,6,11,1,8]=>10100101010=>[1,2,3,2,2,2] [10,3,8,4,5,7,12,2,9,11,1,6]=>10100010010=>[1,2,4,3,2] [8,5,10,4,7,6,2,9,1,3,12,11]=>10101101001=>[1,2,2,1,2,3,1] [10,5,9,4,7,6,2,12,3,11,1,8]=>10101101010=>[1,2,2,1,2,2,2] [8,5,9,4,7,6,2,12,10,3,11,1]=>10101101101=>[1,2,2,1,2,1,2,1] [10,7,12,4,8,6,9,5,2,11,1,3]=>10101011010=>[1,2,2,2,1,2,2] [2,9,8,4,12,6,10,3,11,7,1,5]=>01101010110=>[2,1,2,2,2,1,2] [2,7,8,4,12,6,9,10,1,3,11,5]=>00101001001=>[3,2,3,3,1] [2,5,8,4,12,9,7,11,6,10,3,1]=>00101101011=>[3,2,1,2,2,1,1] [2,3,4,8,5,6,7,1,10,9,12,11]=>00010010101=>[4,3,2,2,1] [8,3,4,10,5,6,7,9,1,2,12,11]=>10010001001=>[1,3,4,3,1] [10,3,4,9,5,6,7,12,2,11,1,8]=>10010001010=>[1,3,4,2,2] [2,3,6,10,5,9,7,8,1,4,12,11]=>00010101001=>[4,2,2,3,1] [10,3,6,12,5,9,7,8,2,11,1,4]=>10010101010=>[1,3,2,2,2,2] [2,9,6,12,5,11,7,8,10,1,3,4]=>01010100100=>[2,2,2,3,3] [2,3,6,7,5,12,10,8,9,4,11,1]=>00010110101=>[4,2,1,2,2,1] [10,3,4,5,12,6,7,8,9,11,1,2]=>10001000010=>[1,4,5,2] [2,3,8,5,12,6,7,11,9,10,1,4]=>00101001010=>[3,2,3,2,2] [8,1,6,7,2,5,4,3]=>1001011=>[1,3,2,1,1] [7,5,2,3,6,8,4,1]=>1100011=>[1,1,4,1,1] [8,1,4,6,5,3,2,7]=>1001110=>[1,3,1,1,2] [8,1,4,7,6,5,2,3]=>1001110=>[1,3,1,1,2] [8,1,2,7,6,5,4,3]=>1001111=>[1,3,1,1,1,1] [4,5,8,1,6,7,2,3]=>0010010=>[3,3,2] [3,7,2,5,8,4,6,1]=>0100101=>[2,3,2,1] [6,7,8,4,1,5,2,3]=>0011010=>[3,1,2,2] [6,2,8,3,5,1,4,7]=>1010100=>[1,2,2,3] [6,2,7,4,5,3,1,8]=>1010110=>[1,2,2,1,2] [6,8,2,5,3,4,1,7]=>0101010=>[2,2,2,2] [6,8,7,5,4,1,2,3]=>0111100=>[2,1,1,1,3] [7,4,5,6,1,8,2,3]=>1001010=>[1,3,2,2] [6,3,5,2,8,1,7,4]=>1010101=>[1,2,2,2,1] [6,1,8,7,4,5,2,3]=>1011010=>[1,2,1,2,2] [4,8,7,1,6,3,2,5]=>0110110=>[2,1,2,1,2] [4,8,2,7,5,3,6,1]=>0101101=>[2,2,1,2,1] [1,3,2,6,8,7,4,5]=>0100110=>[2,3,1,2] [1,3,8,2,5,4,6,7]=>0010100=>[3,2,3] [1,6,2,5,8,7,3,4]=>0100110=>[2,3,1,2] [1,6,8,7,2,3,5,4]=>0011001=>[3,1,3,1] [1,6,8,7,2,5,3,4]=>0011010=>[3,1,2,2] [1,5,2,4,8,3,6,7]=>0100100=>[2,3,3] [1,2,4,5,8,6,3,7]=>0000110=>[5,1,2] [1,2,8,3,5,4,7,6]=>0010101=>[3,2,2,1] [1,3,8,2,5,4,7,6]=>0010101=>[3,2,2,1] [1,6,7,5,2,4,8,3]=>0011001=>[3,1,3,1] [1,5,6,4,7,2,3,8]=>0010100=>[3,2,3] [1,7,4,2,5,8,3,6]=>0110010=>[2,1,3,2] [1,6,4,3,7,5,2,8]=>0110110=>[2,1,2,1,2] [1,6,5,4,7,2,3,8]=>0110100=>[2,1,2,3] [1,7,3,2,6,4,8,5]=>0110101=>[2,1,2,2,1] [1,5,8,2,3,6,7,4]=>0010001=>[3,4,1] [1,3,2,6,8,5,4,7]=>0100110=>[2,3,1,2] [1,6,3,2,7,4,5,8]=>0110100=>[2,1,2,3] [1,7,8,5,4,2,3,6]=>0011100=>[3,1,1,3] [1,8,4,2,3,6,5,7]=>0110010=>[2,1,3,2] [1,4,2,7,5,3,8,6]=>0101101=>[2,2,1,2,1] [1,5,7,6,2,4,3,8]=>0011010=>[3,1,2,2] [1,8,4,7,3,2,6,5]=>0101101=>[2,2,1,2,1] [1,3,8,4,2,6,5,7]=>0011010=>[3,1,2,2] [1,7,4,2,6,5,8,3]=>0110101=>[2,1,2,2,1] [1,6,5,8,3,7,4,2]=>0101011=>[2,2,2,1,1] [1,7,4,8,3,2,5,6]=>0101100=>[2,2,1,3] [1,4,8,3,2,7,5,6]=>0011010=>[3,1,2,2] [1,8,3,6,4,5,2,7]=>0101010=>[2,2,2,2] [1,6,4,7,3,2,8,5]=>0101101=>[2,2,1,2,1] [8,2,3,7,4,5,6,1]=>1001001=>[1,3,3,1] [8,5,7,2,3,6,4,1]=>1010011=>[1,2,3,1,1] [7,5,2,1,6,8,3,4]=>1110010=>[1,1,1,3,2] [7,6,1,5,4,8,2,3]=>1101010=>[1,1,2,2,2] [7,6,3,2,1,8,4,5]=>1111010=>[1,1,1,1,2,2] [2,8,7,3,4,6,1,5]=>0110010=>[2,1,3,2] [6,5,1,3,7,2,8,4]=>1100101=>[1,1,3,2,1] [8,1,7,3,4,5,2,6]=>1010010=>[1,2,3,2] [7,1,8,3,4,5,2,6]=>1010010=>[1,2,3,2] [6,8,7,3,4,2,1,5]=>0110110=>[2,1,2,1,2] [3,8,7,1,2,4,5,6]=>0110000=>[2,1,5] [1,8,5,3,4,6,2,7]=>0110010=>[2,1,3,2] [7,1,6,5,4,3,8,2]=>1011101=>[1,2,1,1,2,1] [7,1,3,6,4,5,8,2]=>1001001=>[1,3,3,1] [7,1,5,3,6,4,8,2]=>1010101=>[1,2,2,2,1] [6,1,5,3,7,8,2,4]=>1010010=>[1,2,3,2] [5,8,7,1,2,6,3,4]=>0110010=>[2,1,3,2] [6,8,2,3,4,7,1,5]=>0100010=>[2,4,2] [5,1,7,3,8,6,2,4]=>1010110=>[1,2,2,1,2] [6,1,3,2,4,7,8,5]=>1010001=>[1,2,4,1] [6,2,1,3,4,7,8,5]=>1100001=>[1,1,5,1] [3,4,5,6,1,8,9,2,7]=>00010010=>[4,3,2] [3,4,5,6,8,1,9,2,7]=>00001010=>[5,2,2] [3,4,5,6,8,9,1,2,7]=>00000100=>[6,3] [2,4,5,1,6,7,8,9,3]=>00100001=>[3,5,1] [2,3,4,1,6,7,8,9,5]=>00100001=>[3,5,1] [2,3,4,5,6,1,8,9,10,7]=>000010001=>[5,4,1] [3,4,5,6,1,2,9,7,8]=>00010010=>[4,3,2] [3,4,5,6,8,1,2,7,9]=>00001000=>[5,4] [2,3,4,5,6,8,9,1,10,7]=>000000101=>[7,2,1] [3,4,5,1,6,7,8,2,9]=>00100010=>[3,4,2] [5,6,1,7,8,9,2,3,4]=>01000100=>[2,4,3] [4,5,6,1,7,8,9,10,2,3]=>001000010=>[3,5,2] [1,3,5,2,6,7,8,9,4]=>00100001=>[3,5,1] [3,5,6,1,7,8,9,10,2,4]=>001000010=>[3,5,2] [2,1,4,3,6,7,8,9,5]=>10100001=>[1,2,5,1] [3,4,6,1,7,8,9,10,2,5]=>001000010=>[3,5,2] [2,3,1,5,6,7,8,9,4]=>01000001=>[2,6,1] [3,4,5,1,7,8,9,10,2,6]=>001000010=>[3,5,2] [3,2,5,8,7,4,1,6]=>1001110=>[1,3,1,1,2] [4,2,5,8,7,3,1,6]=>1001110=>[1,3,1,1,2] [8,3,4,1,6,5,2,7]=>1010110=>[1,2,2,1,2] [3,4,8,5,7,2,1,6]=>0010110=>[3,2,1,2] [3,6,4,8,5,7,2,1]=>0101011=>[2,2,2,1,1] [5,8,4,7,3,6,2,1]=>0101011=>[2,2,2,1,1] [4,2,8,7,3,1,6,5]=>1011101=>[1,2,1,1,2,1] [6,5,8,2,1,7,4,3]=>1011011=>[1,2,1,2,1,1] [6,1,4,3,8,7,2,5]=>1010110=>[1,2,2,1,2] [5,1,3,2,6,8,7,4]=>1010011=>[1,2,3,1,1] [6,1,3,8,7,2,4,5]=>1001100=>[1,3,1,3] [1,2,8,4,5,7,3,6]=>0010010=>[3,3,2] [4,2,1,8,7,6,3,5]=>1101110=>[1,1,2,1,1,2] [3,2,5,8,7,1,4,6]=>1001100=>[1,3,1,3] [5,6,3,8,7,2,1,4]=>0101110=>[2,2,1,1,2] [2,5,8,4,7,1,6,3]=>0010101=>[3,2,2,1] [1,6,2,4,8,5,7,3]=>0100101=>[2,3,2,1] [3,1,6,5,8,7,2,4]=>1010110=>[1,2,2,1,2] [4,8,5,3,6,7,1,2]=>0110010=>[2,1,3,2] [1,8,5,3,4,7,6,2]=>0110011=>[2,1,3,1,1] [2,7,1,3,6,4,5,8]=>0100100=>[2,3,3] [8,1,7,3,5,4,6,2]=>1010101=>[1,2,2,2,1] [1,8,6,3,2,5,4,7]=>0111010=>[2,1,1,2,2] [3,2,4,8,5,7,1,6]=>1001010=>[1,3,2,2] [8,1,2,4,7,5,6,3]=>1000101=>[1,4,2,1] [6,4,5,8,3,1,7,2]=>1001101=>[1,3,1,2,1] [8,6,2,1,5,7,3,4]=>1110010=>[1,1,1,3,2] [4,6,2,8,5,3,7,1]=>0101101=>[2,2,1,2,1] [8,7,2,4,1,5,3,6]=>1101010=>[1,1,2,2,2] [7,5,3,4,8,6,2,1]=>1100111=>[1,1,3,1,1,1] [2,8,3,1,4,6,7,5]=>0110001=>[2,1,4,1] [4,3,6,5,1,2,7,8]=>1011000=>[1,2,1,4] [5,8,3,7,6,4,2,1]=>0101111=>[2,2,1,1,1,1] [1,3,8,7,6,5,2,4]=>0011110=>[3,1,1,1,2] [4,8,7,2,6,3,1,5]=>0110110=>[2,1,2,1,2] [1,8,7,2,6,3,5,4]=>0110101=>[2,1,2,2,1] [8,7,2,1,4,3,5,6]=>1110100=>[1,1,1,2,3] [2,8,7,1,6,3,4,5]=>0110100=>[2,1,2,3] [4,2,8,7,6,5,1,3]=>1011110=>[1,2,1,1,1,2] [8,4,2,7,6,5,3,1]=>1101111=>[1,1,2,1,1,1,1] [6,8,7,5,2,4,3,1]=>0111011=>[2,1,1,2,1,1] [1,2,5,7,4,8,6,3]=>0001011=>[4,2,1,1] [6,2,1,8,7,5,3,4]=>1101110=>[1,1,2,1,1,2] [6,3,8,7,4,5,2,1]=>1011011=>[1,2,1,2,1,1] [2,8,3,4,1,5,6,7]=>0101000=>[2,2,4] [1,3,7,5,4,8,6,2]=>0011011=>[3,1,2,1,1] [4,5,6,3,1,8,2,7]=>0011010=>[3,1,2,2] [5,2,1,4,3,6,8,7]=>1101001=>[1,1,2,3,1] [1,5,6,3,8,4,2,7]=>0010110=>[3,2,1,2] [2,6,5,3,8,4,1,7]=>0110110=>[2,1,2,1,2] [5,7,3,8,4,2,6,1]=>0101101=>[2,2,1,2,1] [5,3,6,2,8,4,1,7]=>1010110=>[1,2,2,1,2] [2,3,6,5,4,8,1,7]=>0011010=>[3,1,2,2] [3,7,5,4,8,2,6,1]=>0110101=>[2,1,2,2,1] [5,3,7,1,2,8,4,6]=>1010010=>[1,2,3,2] [6,3,8,7,2,5,4,1]=>1011011=>[1,2,1,2,1,1] [2,8,7,6,1,5,3,4]=>0111010=>[2,1,1,2,2] [9,7,8,5,4,3,2,1,6]=>10111110=>[1,2,1,1,1,1,2] [1,2,3,4,6,5,7,8,9]=>00001000=>[5,4] [1,2,3,5,4,6,7,8,9]=>00010000=>[4,5] [6,8,4,1,7,5,2,3]=>0110110=>[2,1,2,1,2] [8,1,4,6,7,5,2,3]=>1000110=>[1,4,1,2] [2,6,8,1,4,7,5,3]=>0010011=>[3,3,1,1] [6,4,8,1,2,7,5,3]=>1010011=>[1,2,3,1,1] [8,1,4,6,7,2,5,3]=>1000101=>[1,4,2,1] [8,2,1,6,7,4,5,3]=>1100101=>[1,1,3,2,1] [8,2,6,1,7,4,5,3]=>1010101=>[1,2,2,2,1] [4,2,8,1,6,7,5,3]=>1010011=>[1,2,3,1,1] [8,1,2,6,4,7,5,3]=>1001011=>[1,3,2,1,1] [8,4,1,6,2,7,5,3]=>1101011=>[1,1,2,2,1,1] [4,8,1,2,6,7,5,3]=>0100011=>[2,4,1,1] [4,8,2,1,6,7,5,3]=>0110011=>[2,1,3,1,1] [8,1,6,2,4,7,5,3]=>1010011=>[1,2,3,1,1] [8,2,4,6,1,7,5,3]=>1001011=>[1,3,2,1,1] [2,1,4,3,6,5,8,9,10,7]=>101010001=>[1,2,2,4,1] [2,1,4,3,6,7,8,5,10,9]=>101000101=>[1,2,4,2,1] [2,1,4,3,8,7,9,10,5,6]=>101010010=>[1,2,2,3,2] [2,1,4,3,6,7,8,9,10,5]=>101000001=>[1,2,6,1] [2,1,4,5,6,3,8,7,10,9]=>100010101=>[1,4,2,2,1] [2,1,4,5,6,3,8,9,10,7]=>100010001=>[1,4,4,1] [2,1,6,5,7,8,3,4,10,9]=>101001001=>[1,2,3,3,1] [2,1,8,5,9,7,3,10,6,4]=>101011011=>[1,2,2,1,2,1,1] [2,1,6,5,7,8,9,10,3,4]=>101000010=>[1,2,5,2] [2,1,4,5,6,7,8,3,10,9]=>100000101=>[1,6,2,1] [2,1,8,5,6,7,9,10,3,4]=>101000010=>[1,2,5,2] [2,1,4,7,6,8,9,3,10,5]=>100100101=>[1,3,3,2,1] [2,1,4,5,6,7,8,9,10,3]=>100000001=>[1,8,1] [2,3,4,1,6,5,8,7,10,9]=>001010101=>[3,2,2,2,1] [2,3,4,1,6,5,8,9,10,7]=>001010001=>[3,2,4,1] [2,3,4,1,6,7,8,5,10,9]=>001000101=>[3,4,2,1] [2,3,4,1,8,7,9,10,5,6]=>001010010=>[3,2,3,2] [2,3,4,1,6,7,8,9,10,5]=>001000001=>[3,6,1] [4,3,5,6,1,2,8,7,10,9]=>100100101=>[1,3,3,2,1] [4,3,5,6,1,2,8,9,10,7]=>100100001=>[1,3,5,1] [6,3,7,5,1,8,4,2,10,9]=>101101101=>[1,2,1,2,1,2,1] [8,3,9,5,1,7,4,10,6,2]=>101101011=>[1,2,1,2,2,1,1] [6,3,7,5,1,8,9,10,4,2]=>101100011=>[1,2,1,4,1,1] [4,3,5,6,7,8,1,2,10,9]=>100001001=>[1,5,3,1] [8,3,9,5,6,7,1,10,4,2]=>101001011=>[1,2,3,2,1,1] [4,3,7,8,6,10,9,2,5,1]=>100101101=>[1,3,2,1,2,1] [4,3,5,6,7,8,9,10,1,2]=>100000010=>[1,7,2] [2,3,4,5,6,1,8,7,10,9]=>000010101=>[5,2,2,1] [6,3,4,5,7,8,1,2,10,9]=>100001001=>[1,5,3,1] [8,3,4,5,9,7,1,10,6,2]=>100011011=>[1,4,1,2,1,1] [6,3,4,5,7,8,9,10,1,2]=>100000010=>[1,7,2] [2,5,4,6,7,1,8,3,10,9]=>010010101=>[2,3,2,2,1] [8,5,4,6,7,1,9,10,3,2]=>110010011=>[1,1,3,3,1,1] [2,7,4,8,6,1,9,5,10,3]=>010110101=>[2,2,1,2,2,1] [2,5,4,6,7,8,9,1,10,3]=>010000101=>[2,5,2,1] [2,3,4,5,6,7,8,1,10,9]=>000000101=>[7,2,1] [8,3,4,5,6,7,9,10,1,2]=>100000010=>[1,7,2] [2,7,4,5,6,8,9,1,10,3]=>010000101=>[2,5,2,1] [2,3,6,5,7,8,1,9,10,4]=>001001001=>[3,3,3,1] [2,1,4,3,6,5,8,7,10,11,12,9]=>10101010001=>[1,2,2,2,4,1] [2,1,4,3,6,5,10,9,11,12,7,8]=>10101010010=>[1,2,2,2,3,2] [2,1,4,3,6,7,8,5,10,11,12,9]=>10100010001=>[1,2,4,4,1] [2,1,4,3,8,7,9,10,5,6,12,11]=>10101001001=>[1,2,2,3,3,1] [2,1,4,3,10,7,11,9,5,12,8,6]=>10101011011=>[1,2,2,2,1,2,1,1] [2,1,4,3,6,9,8,10,11,5,12,7]=>10100100101=>[1,2,3,3,2,1] [2,1,4,5,6,3,8,7,10,9,12,11]=>10001010101=>[1,4,2,2,2,1] [2,1,4,5,6,3,8,7,10,11,12,9]=>10001010001=>[1,4,2,4,1] [2,1,4,5,6,3,8,9,10,7,12,11]=>10001000101=>[1,4,4,2,1] [2,1,4,5,6,3,10,9,11,12,7,8]=>10001010010=>[1,4,2,3,2] [2,1,6,5,7,8,3,4,10,9,12,11]=>10100100101=>[1,2,3,3,2,1] [2,1,8,5,9,7,3,10,6,4,12,11]=>10101101101=>[1,2,2,1,2,1,2,1] [2,1,10,5,11,7,3,9,6,12,8,4]=>10101101011=>[1,2,2,1,2,2,1,1] [2,1,6,5,7,8,9,10,11,12,3,4]=>10100000010=>[1,2,7,2] [2,1,4,5,6,7,8,3,10,9,12,11]=>10000010101=>[1,6,2,2,1] [2,1,8,5,6,7,9,10,11,12,3,4]=>10100000010=>[1,2,7,2] [2,1,4,7,6,8,9,3,10,5,12,11]=>10010010101=>[1,3,3,2,2,1] [2,1,4,5,6,7,8,9,10,3,12,11]=>10000000101=>[1,8,2,1] [2,1,10,5,6,7,8,9,11,12,3,4]=>10100000010=>[1,2,7,2] [2,1,4,5,8,7,9,10,3,11,12,6]=>10001001001=>[1,4,3,3,1] [2,1,4,5,6,7,8,9,10,11,12,3]=>10000000001=>[1,10,1] [2,3,4,1,6,5,8,7,10,9,12,11]=>00101010101=>[3,2,2,2,2,1] [2,3,4,1,6,5,8,7,10,11,12,9]=>00101010001=>[3,2,2,4,1] [2,3,4,1,6,5,8,9,10,7,12,11]=>00101000101=>[3,2,4,2,1] [2,3,4,1,6,5,10,9,11,12,7,8]=>00101010010=>[3,2,2,3,2] [2,3,4,1,6,7,8,5,10,9,12,11]=>00100010101=>[3,4,2,2,1] [2,3,4,1,6,7,8,5,10,11,12,9]=>00100010001=>[3,4,4,1] [2,3,4,1,8,7,9,10,5,6,12,11]=>00101001001=>[3,2,3,3,1] [2,3,4,1,10,7,11,9,5,12,8,6]=>00101011011=>[3,2,2,1,2,1,1] [2,3,4,1,8,7,9,10,11,12,5,6]=>00101000010=>[3,2,5,2] [2,3,4,1,10,7,8,9,11,12,5,6]=>00101000010=>[3,2,5,2] [2,3,4,1,6,9,8,10,11,5,12,7]=>00100100101=>[3,3,3,2,1] [2,3,4,1,6,7,8,9,10,11,12,5]=>00100000001=>[3,8,1] [4,3,5,6,1,2,8,7,10,9,12,11]=>10010010101=>[1,3,3,2,2,1] [4,3,5,6,1,2,8,7,10,11,12,9]=>10010010001=>[1,3,3,4,1] [4,3,5,6,1,2,10,9,11,12,7,8]=>10010010010=>[1,3,3,3,2] [6,3,7,5,1,8,4,2,10,9,12,11]=>10110110101=>[1,2,1,2,1,2,2,1] [8,3,9,5,1,7,4,10,6,2,12,11]=>10110101101=>[1,2,1,2,2,1,2,1] [10,3,11,5,1,7,4,9,6,12,8,2]=>10110101011=>[1,2,1,2,2,2,1,1] [6,3,9,5,2,10,8,12,11,4,7,1]=>10110101101=>[1,2,1,2,2,1,2,1] [4,3,5,6,7,8,1,2,10,11,12,9]=>10000100001=>[1,5,5,1] [4,3,5,6,7,8,9,10,11,12,1,2]=>10000000010=>[1,9,2] [2,3,4,5,6,1,8,7,10,9,12,11]=>00001010101=>[5,2,2,2,1] [2,3,4,5,6,1,8,9,10,11,12,7]=>00001000001=>[5,6,1] [6,3,4,5,7,8,1,2,10,11,12,9]=>10000100001=>[1,5,5,1] [6,3,4,5,7,8,9,10,11,12,1,2]=>10000000010=>[1,9,2] [2,5,4,6,7,1,8,3,10,9,12,11]=>01001010101=>[2,3,2,2,2,1] [2,5,4,6,7,1,8,3,10,11,12,9]=>01001010001=>[2,3,2,4,1] [2,7,4,8,6,1,9,5,10,3,12,11]=>01011010101=>[2,2,1,2,2,2,1] [2,9,4,10,6,1,8,5,11,7,12,3]=>01011010101=>[2,2,1,2,2,2,1] [2,9,4,10,6,7,8,1,11,5,12,3]=>01010010101=>[2,2,3,2,2,1] [2,3,4,5,6,7,8,1,10,9,12,11]=>00000010101=>[7,2,2,1] [8,3,4,5,6,7,9,10,11,12,1,2]=>10000000010=>[1,9,2] [2,3,6,5,7,8,1,9,10,4,12,11]=>00100100101=>[3,3,3,2,1] [2,3,6,5,7,8,9,10,1,11,12,4]=>00100001001=>[3,5,3,1] [2,3,4,5,6,7,8,9,10,1,12,11]=>00000000101=>[9,2,1] [10,3,4,5,6,7,8,9,11,12,1,2]=>10000000010=>[1,9,2] [2,3,8,5,6,7,9,10,1,11,12,4]=>00100001001=>[3,5,3,1] [2,3,4,7,6,8,9,1,10,11,12,5]=>00010010001=>[4,3,4,1] [5,4,7,6,3,1,2,8]=>1011100=>[1,2,1,1,3] [3,6,4,8,1,5,2,7]=>0101010=>[2,2,2,2] [3,6,8,4,1,5,2,7]=>0011010=>[3,1,2,2] [8,7,1,4,2,3,5,6]=>1101000=>[1,1,2,4] [3,8,6,4,1,5,2,7]=>0111010=>[2,1,1,2,2] [8,2,6,5,7,1,3,4]=>1010100=>[1,2,2,3] [4,6,1,3,2,8,7,5]=>0101011=>[2,2,2,1,1] [7,1,4,8,2,3,6,5]=>1001001=>[1,3,3,1] [4,5,3,6,7,1,8,2]=>0100101=>[2,3,2,1] [1,4,7,8,3,5,2,6]=>0001010=>[4,2,2] [4,6,1,3,5,2,8,7]=>0100101=>[2,3,2,1] [2,5,1,4,8,3,7,6]=>0100101=>[2,3,2,1] [6,1,2,5,4,8,7,3]=>1001011=>[1,3,2,1,1] [8,4,1,7,3,5,6,2]=>1101001=>[1,1,2,3,1] [8,4,1,2,5,7,3,6]=>1100010=>[1,1,4,2] [2,4,5,6,8,3,1,7]=>0000110=>[5,1,2] [3,4,5,8,6,2,1,7]=>0001110=>[4,1,1,2] [4,5,1,8,6,3,7,2]=>0101101=>[2,2,1,2,1] [1,8,2,3,4,5,9,6,7]=>01000010=>[2,5,2] [1,3,4,5,6,8,9,2,7]=>00000010=>[7,2] [8,3,7,2,1,6,5,4]=>1011011=>[1,2,1,2,1,1] [8,4,7,6,2,5,1,3]=>1011010=>[1,2,1,2,2] [8,4,7,3,6,2,1,5]=>1010110=>[1,2,2,1,2] [3,8,7,5,6,4,1,2]=>0110110=>[2,1,2,1,2] [3,8,7,5,6,2,1,4]=>0110110=>[2,1,2,1,2] [3,8,7,5,6,2,4,1]=>0110101=>[2,1,2,2,1] [2,8,7,5,6,4,1,3]=>0110110=>[2,1,2,1,2] [4,5,2,3,6,7,8,9,1]=>01000001=>[2,6,1] [4,3,2,5,6,7,8,9,1]=>11000001=>[1,1,6,1] [5,6,7,2,3,4,8,9,1]=>00100001=>[3,5,1] [5,3,6,2,4,7,8,9,1]=>10100001=>[1,2,5,1] [5,4,3,2,6,7,8,9,1]=>11100001=>[1,1,1,5,1] [6,3,7,8,2,4,5,9,1]=>10010001=>[1,3,4,1] [6,7,4,5,2,3,8,9,1]=>01010001=>[2,2,4,1] [6,4,3,7,2,5,8,9,1]=>11010001=>[1,1,2,4,1] [7,8,4,5,9,2,3,6,1]=>01001001=>[2,3,3,1] [7,4,3,8,9,2,5,6,1]=>11001001=>[1,1,3,3,1] [7,5,8,3,6,2,4,9,1]=>10101001=>[1,2,2,3,1] [7,5,4,3,8,2,6,9,1]=>11101001=>[1,1,1,2,3,1] [7,6,5,4,3,2,8,9,1]=>11111001=>[1,1,1,1,1,3,1] [8,6,4,9,3,7,2,5,1]=>11010101=>[1,1,2,2,2,1] [8,6,5,4,3,9,2,7,1]=>11110101=>[1,1,1,1,2,2,1] [4,5,2,3,6,7,8,9,10,1]=>010000001=>[2,7,1] [4,3,2,5,6,7,8,9,10,1]=>110000001=>[1,1,7,1] [5,6,7,2,3,4,8,9,10,1]=>001000001=>[3,6,1] [5,3,6,2,4,7,8,9,10,1]=>101000001=>[1,2,6,1] [5,4,3,2,6,7,8,9,10,1]=>111000001=>[1,1,1,6,1] [6,7,8,9,2,3,4,5,10,1]=>000100001=>[4,5,1] [6,3,7,8,2,4,5,9,10,1]=>100100001=>[1,3,5,1] [6,7,4,5,2,3,8,9,10,1]=>010100001=>[2,2,5,1] [6,4,3,7,2,5,8,9,10,1]=>110100001=>[1,1,2,5,1] [6,5,4,3,2,7,8,9,10,1]=>111100001=>[1,1,1,1,5,1] [7,8,9,10,1,3,4,5,6,2]=>000100001=>[4,5,1] [7,3,8,9,10,2,4,5,6,1]=>100010001=>[1,4,4,1] [7,4,3,8,9,2,5,6,10,1]=>110010001=>[1,1,3,4,1] [7,5,8,3,6,2,4,9,10,1]=>101010001=>[1,2,2,4,1] [7,5,4,3,8,2,6,9,10,1]=>111010001=>[1,1,1,2,4,1] [7,6,5,4,3,2,8,9,10,1]=>111110001=>[1,1,1,1,1,4,1] [8,5,9,3,6,10,2,4,7,1]=>101001001=>[1,2,3,3,1] [8,5,4,3,9,10,2,6,7,1]=>111001001=>[1,1,1,3,3,1] [8,9,6,7,4,5,2,3,10,1]=>010101001=>[2,2,2,3,1] [8,6,4,9,3,7,2,5,10,1]=>110101001=>[1,1,2,2,3,1] [8,6,5,4,3,9,2,7,10,1]=>111101001=>[1,1,1,1,2,3,1] [8,7,6,5,4,3,2,9,10,1]=>111111001=>[1,1,1,1,1,1,3,1] [9,7,5,4,10,3,8,2,6,1]=>111010101=>[1,1,1,2,2,2,1] [9,7,6,5,4,3,10,2,8,1]=>111110101=>[1,1,1,1,1,2,2,1] [10,1,9,2,8,3,7,4,6,5]=>101010101=>[1,2,2,2,2,1] [1,5,6,3,8,2,7,4]=>0010101=>[3,2,2,1] [2,6,3,8,4,7,1,5]=>0101010=>[2,2,2,2] [2,6,3,5,7,8,1,4]=>0100010=>[2,4,2] [1,5,6,3,7,2,8,4]=>0010101=>[3,2,2,1] [1,7,5,3,6,2,8,4]=>0110101=>[2,1,2,2,1] [1,5,7,3,4,2,8,6]=>0010101=>[3,2,2,1] [1,5,8,3,4,2,7,6]=>0010101=>[3,2,2,1] [1,4,5,3,7,2,8,6]=>0010101=>[3,2,2,1] [1,4,5,3,8,2,7,6]=>0010101=>[3,2,2,1] [6,5,1,4,2,7,8,3]=>1101001=>[1,1,2,3,1] [6,5,1,4,2,8,7,3]=>1101011=>[1,1,2,2,1,1] [1,7,5,4,2,8,6,3]=>0111011=>[2,1,1,2,1,1] [5,1,6,8,3,7,2,4]=>1001010=>[1,3,2,2] [1,2,3,4,5,6,7,8,9,10,11]=>0000000000=>[11] [1,4,3,6,5,10,9,7,8,2]=>010101101=>[2,2,2,1,2,1] [1,4,3,8,7,5,6,10,9,2]=>010110011=>[2,2,1,3,1,1] [1,4,3,10,7,5,9,6,8,2]=>010110101=>[2,2,1,2,2,1] [1,4,3,10,9,8,5,6,7,2]=>010111001=>[2,2,1,1,3,1] [1,6,5,3,4,8,7,10,9,2]=>011001011=>[2,1,3,2,1,1] [1,6,5,3,4,10,9,7,8,2]=>011001101=>[2,1,3,1,2,1] [1,8,5,3,7,4,6,10,9,2]=>011010011=>[2,1,2,3,1,1] [1,10,5,3,7,4,9,6,8,2]=>011010101=>[2,1,2,2,2,1] [1,10,5,3,9,8,4,6,7,2]=>011011001=>[2,1,2,1,3,1] [1,8,7,6,3,4,5,10,9,2]=>011100011=>[2,1,1,4,1,1] [1,10,7,6,3,4,9,5,8,2]=>011100101=>[2,1,1,3,2,1] [1,10,9,6,3,8,4,5,7,2]=>011101001=>[2,1,1,2,3,1] [1,10,9,8,7,3,4,5,6,2]=>011110001=>[2,1,1,1,4,1] [3,1,2,6,5,8,7,10,9,4]=>100101011=>[1,3,2,2,1,1] [3,1,2,6,5,10,9,7,8,4]=>100101101=>[1,3,2,1,2,1] [3,1,2,8,7,5,6,10,9,4]=>100110011=>[1,3,1,3,1,1] [3,1,2,10,7,5,9,6,8,4]=>100110101=>[1,3,1,2,2,1] [3,1,2,10,9,8,5,6,7,4]=>100111001=>[1,3,1,1,3,1] [3,1,5,2,4,8,7,10,9,6]=>101001011=>[1,2,3,2,1,1] [3,1,5,2,4,10,9,7,8,6]=>101001101=>[1,2,3,1,2,1] [3,1,5,2,7,4,6,10,9,8]=>101010011=>[1,2,2,3,1,1] [3,1,5,2,9,8,4,6,7,10]=>101011000=>[1,2,2,1,4] [3,1,7,6,2,4,5,10,9,8]=>101100011=>[1,2,1,4,1,1] [3,1,7,6,2,4,9,5,8,10]=>101100100=>[1,2,1,3,3] [3,1,9,6,2,8,4,5,7,10]=>101101000=>[1,2,1,2,4] [3,1,9,8,7,2,4,5,6,10]=>101110000=>[1,2,1,1,5] [5,4,1,2,3,8,7,10,9,6]=>110001011=>[1,1,4,2,1,1] [5,4,1,2,3,10,9,7,8,6]=>110001101=>[1,1,4,1,2,1] [5,4,1,2,7,3,6,10,9,8]=>110010011=>[1,1,3,3,1,1] [5,4,1,2,7,3,9,6,8,10]=>110010100=>[1,1,3,2,3] [5,4,1,2,9,8,3,6,7,10]=>110011000=>[1,1,3,1,4] [7,4,1,6,2,3,5,10,9,8]=>110100011=>[1,1,2,4,1,1] [7,4,1,6,2,3,9,5,8,10]=>110100100=>[1,1,2,3,3] [9,4,1,6,2,8,3,5,7,10]=>110101000=>[1,1,2,2,4] [9,4,1,8,7,2,3,5,6,10]=>110110000=>[1,1,2,1,5] [7,6,5,1,2,3,4,10,9,8]=>111000011=>[1,1,1,5,1,1] [7,6,5,1,2,3,9,4,8,10]=>111000100=>[1,1,1,4,3] [9,6,5,1,2,8,3,4,7,10]=>111001000=>[1,1,1,3,4] [9,8,5,1,7,2,3,4,6,10]=>111010000=>[1,1,1,2,5] [1,4,3,6,5,8,7,12,11,9,10,2]=>01010101101=>[2,2,2,2,1,2,1] [1,4,3,6,5,12,9,7,11,8,10,2]=>01010110101=>[2,2,2,1,2,2,1] [1,4,3,12,7,5,9,6,11,8,10,2]=>01011010101=>[2,2,1,2,2,2,1] [1,12,5,3,7,4,9,6,11,8,10,2]=>01101010101=>[2,1,2,2,2,2,1] [1,8,7,6,3,4,5,10,9,12,11,2]=>01110001011=>[2,1,1,4,2,1,1] [1,10,9,6,3,8,4,5,7,12,11,2]=>01110100011=>[2,1,1,2,4,1,1] [1,12,11,10,7,3,9,4,5,6,8,2]=>01111010001=>[2,1,1,1,2,4,1] [1,12,11,10,9,8,3,4,5,6,7,2]=>01111100001=>[2,1,1,1,1,5,1] [3,1,5,2,7,4,9,6,11,8,10,12]=>10101010100=>[1,2,2,2,2,3] [3,1,11,10,7,2,9,4,5,6,8,12]=>10111010000=>[1,2,1,1,2,5] [3,1,11,10,9,8,2,4,5,6,7,12]=>10111100000=>[1,2,1,1,1,6] [5,4,1,2,7,3,9,6,11,8,10,12]=>11001010100=>[1,1,3,2,2,3] [7,4,1,6,2,3,5,10,9,12,11,8]=>11010001011=>[1,1,2,4,2,1,1] [7,4,1,6,2,3,9,5,11,8,10,12]=>11010010100=>[1,1,2,3,2,3] [9,4,1,6,2,8,3,5,11,7,10,12]=>11010100100=>[1,1,2,2,3,3] [11,4,1,6,2,8,3,10,5,7,9,12]=>11010101000=>[1,1,2,2,2,4] [11,4,1,10,9,8,2,3,5,6,7,12]=>11011100000=>[1,1,2,1,1,6] [9,8,7,6,1,2,3,4,5,12,11,10]=>11110000011=>[1,1,1,1,6,1,1] [11,8,7,6,1,2,3,10,4,5,9,12]=>11110001000=>[1,1,1,1,4,4] [3,8,5,2,1,4,7,6]=>0111001=>[2,1,1,3,1] [3,5,4,8,2,6,7,1]=>0101001=>[2,2,3,1] [5,4,7,1,8,6,3,2]=>1010111=>[1,2,2,1,1,1] [2,4,1,5,3,6,7,8,9]=>01010000=>[2,2,5] [1,4,8,2,6,5,3,7]=>0010110=>[3,2,1,2] [8,5,1,3,6,2,4,7]=>1100100=>[1,1,3,3] [7,5,1,8,3,4,2,6]=>1101010=>[1,1,2,2,2] [5,2,8,1,7,4,3,6]=>1010110=>[1,2,2,1,2] [1,4,8,2,6,7,3,5]=>0010010=>[3,3,2] [1,2,5,6,8,7,3,4]=>0000110=>[5,1,2] [1,5,6,8,2,7,4,3]=>0001011=>[4,2,1,1] [2,6,7,3,4,1,8,5]=>0010101=>[3,2,2,1] [1,6,5,7,8,2,4,3]=>0100101=>[2,3,2,1] [1,5,6,7,2,8,4,3]=>0001011=>[4,2,1,1] [3,7,6,1,8,2,4,5]=>0110100=>[2,1,2,3] [1,3,7,2,6,4,8,5]=>0010101=>[3,2,2,1] [1,5,8,6,7,3,4,2]=>0010101=>[3,2,2,1] [1,6,5,8,7,2,4,3]=>0101101=>[2,2,1,2,1] [1,5,7,6,2,8,3,4]=>0011010=>[3,1,2,2] [1,2,5,8,6,7,4,3]=>0001011=>[4,2,1,1] [1,2,6,5,7,3,8,4]=>0010101=>[3,2,2,1] [1,7,5,8,6,4,2,3]=>0101110=>[2,2,1,1,2] [3,6,5,8,1,2,7,4]=>0101001=>[2,2,3,1] [5,4,7,8,1,6,3,2]=>1001011=>[1,3,2,1,1] [2,5,6,8,1,3,7,4]=>0001001=>[4,3,1] [5,3,6,8,1,2,7,4]=>1001001=>[1,3,3,1] [4,6,5,8,3,2,7,1]=>0101101=>[2,2,1,2,1] [4,5,6,8,2,3,7,1]=>0001001=>[4,3,1] [2,5,8,7,1,6,4,3]=>0011011=>[3,1,2,1,1] [4,7,5,8,3,6,2,1]=>0101011=>[2,2,2,1,1] [7,3,6,8,5,2,1,4]=>1001110=>[1,3,1,1,2] [8,3,6,7,5,2,4,1]=>1001101=>[1,3,1,2,1] [8,4,5,7,3,6,2,1]=>1001011=>[1,3,2,1,1] [2,4,7,8,5,6,3,1]=>0001011=>[4,2,1,1] [3,6,8,7,5,2,4,1]=>0011101=>[3,1,1,2,1] [6,4,7,8,5,1,3,2]=>1001101=>[1,3,1,2,1] [7,8,4,6,5,3,1,2]=>0101110=>[2,2,1,1,2] [6,8,4,7,5,1,3,2]=>0101101=>[2,2,1,2,1] [4,5,6,7,8,3,9,1,2]=>00001010=>[5,2,2] [8,9,2,3,4,5,1,6,7]=>01000100=>[2,4,3] [5,6,7,4,8,9,1,2,3]=>00100100=>[3,3,3] [7,8,9,2,3,1,4,5,6]=>00101000=>[3,2,4] [6,5,7,8,9,1,2,3,4]=>10001000=>[1,4,4] [7,6,1,2,3,5,4,8]=>1100010=>[1,1,4,2] [2,8,7,5,1,6,3,4]=>0111010=>[2,1,1,2,2] [8,7,6,4,2,1,5,3]=>1111101=>[1,1,1,1,1,2,1] [3,8,7,5,2,6,4,1]=>0111011=>[2,1,1,2,1,1] [3,8,7,5,1,2,6,4]=>0111001=>[2,1,1,3,1] [5,8,3,7,1,4,6,2]=>0101001=>[2,2,3,1] [3,8,7,4,2,6,5,1]=>0111011=>[2,1,1,2,1,1] [5,8,3,2,4,7,6,1]=>0110011=>[2,1,3,1,1] [5,3,8,2,4,6,1,7]=>1010010=>[1,2,3,2] [4,5,8,3,2,6,1,7]=>0011010=>[3,1,2,2] [5,8,2,1,4,6,3,7]=>0110010=>[2,1,3,2] [4,1,5,8,3,6,2,7]=>1001010=>[1,3,2,2] [4,5,8,3,6,1,2,7]=>0010100=>[3,2,3] [3,2,7,1,8,5,4,6]=>1010110=>[1,2,2,1,2] [4,7,8,5,2,3,1,6]=>0011010=>[3,1,2,2] [6,2,7,8,1,5,3,4]=>1001010=>[1,3,2,2] [2,7,1,3,8,5,4,6]=>0100110=>[2,3,1,2] [2,6,7,8,4,1,3,5]=>0001100=>[4,1,3] [2,6,7,8,4,3,1,5]=>0001110=>[4,1,1,2] [7,1,2,3,4,5,8,6,9]=>10000010=>[1,6,2] [6,1,2,3,4,7,5,8,9]=>10000100=>[1,5,3] [5,1,2,3,6,4,7,8,9]=>10001000=>[1,4,4] [4,1,2,5,3,6,7,8,9]=>10010000=>[1,3,5] [7,1,2,6,3,8,4,5]=>1001010=>[1,3,2,2] [8,1,2,6,5,3,7,4]=>1001101=>[1,3,1,2,1] [7,4,1,8,2,5,3,6]=>1101010=>[1,1,2,2,2] [7,2,1,8,3,6,4,5]=>1101010=>[1,1,2,2,2] [6,8,7,3,1,2,4,5]=>0111000=>[2,1,1,4] [7,4,8,3,1,2,6,5]=>1011001=>[1,2,1,3,1] [8,4,5,3,1,6,7,2]=>1011001=>[1,2,1,3,1] [8,2,3,1,6,7,4,5]=>1010010=>[1,2,3,2] [8,2,1,7,4,3,5,6]=>1101100=>[1,1,2,1,3] [7,2,6,8,4,1,3,5]=>1001100=>[1,3,1,3] [7,2,5,1,6,8,3,4]=>1010010=>[1,2,3,2] [6,2,1,7,4,8,3,5]=>1101010=>[1,1,2,2,2] [1,7,4,3,2,5,6,8]=>0111000=>[2,1,1,4] [1,7,4,3,6,2,5,8]=>0110100=>[2,1,2,3] [3,7,5,8,2,4,6,1]=>0101001=>[2,2,3,1] [5,2,1,6,3,4,8,7]=>1101001=>[1,1,2,3,1] [5,1,3,4,6,2,8,7]=>1000101=>[1,4,2,1] [3,8,4,5,7,2,6,1]=>0100101=>[2,3,2,1] [3,8,4,7,5,6,2,1]=>0101011=>[2,2,2,1,1] [4,2,8,6,3,7,5,1]=>1011011=>[1,2,1,2,1,1] [4,1,7,6,3,8,5,2]=>1011011=>[1,2,1,2,1,1] [7,4,1,8,5,3,6,2]=>1101101=>[1,1,2,1,2,1] [3,5,6,8,4,7,1,2]=>0001010=>[4,2,2] [5,4,1,8,6,7,2,3]=>1101010=>[1,1,2,2,2] [6,2,8,4,5,3,7,1]=>1010101=>[1,2,2,2,1] [4,5,2,1,8,7,3,6]=>0110110=>[2,1,2,1,2] [4,7,3,8,2,6,5,1]=>0101011=>[2,2,2,1,1] [4,7,3,1,8,6,2,5]=>0110110=>[2,1,2,1,2] [6,2,1,3,7,4,8,5]=>1100101=>[1,1,3,2,1] [6,3,7,1,2,5,8,4]=>1010001=>[1,2,4,1] [5,1,4,7,8,2,6,3]=>1000101=>[1,4,2,1] [7,2,5,8,1,3,6,4]=>1001001=>[1,3,3,1] [8,3,6,7,2,4,5,1]=>1001001=>[1,3,3,1] [3,8,7,5,2,1,6,4]=>0111101=>[2,1,1,1,2,1] [3,8,5,6,2,7,4,1]=>0101011=>[2,2,2,1,1] [3,6,5,8,4,2,7,1]=>0101101=>[2,2,1,2,1] [6,8,3,2,5,7,4,1]=>0110011=>[2,1,3,1,1] [4,1,5,6,8,7,3,2]=>1000111=>[1,4,1,1,1] [8,4,2,3,6,7,5,1]=>1100011=>[1,1,4,1,1] [6,1,2,4,5,7,8,3]=>1000001=>[1,6,1] [4,5,1,3,7,6,8,2]=>0100101=>[2,3,2,1] [3,5,4,8,6,2,7,1]=>0101101=>[2,2,1,2,1] [3,6,2,4,5,8,7,1]=>0100011=>[2,4,1,1] [8,1,2,3,4,5,9,7,6]=>10000011=>[1,6,1,1] [8,1,2,3,4,9,6,7,5]=>10000101=>[1,5,2,1] [9,1,2,3,8,5,6,7,4]=>10001001=>[1,4,3,1] [8,1,3,7,4,5,6,2]=>1001001=>[1,3,3,1] [9,1,2,3,4,5,6,10,8,7]=>100000011=>[1,7,1,1] [9,1,2,3,4,5,10,7,8,6]=>100000101=>[1,6,2,1] [10,1,2,3,4,9,6,7,8,5]=>100001001=>[1,5,3,1] [10,1,9,3,4,5,6,7,8,2]=>101000001=>[1,2,6,1] [10,1,2,3,4,5,6,8,9,7]=>100000001=>[1,8,1] [9,1,2,3,4,6,7,8,5]=>10000001=>[1,7,1] [8,1,5,3,6,4,7,2]=>1010101=>[1,2,2,2,1] [2,6,4,8,3,1,5,7]=>0101100=>[2,2,1,3] [2,6,4,1,5,8,7,3]=>0110011=>[2,1,3,1,1] [7,6,5,2,4,3,8,1]=>1110101=>[1,1,1,2,2,1] [3,6,4,5,2,8,1,7]=>0101010=>[2,2,2,2] [8,1,5,4,7,3,6,2]=>1010101=>[1,2,2,2,1] [7,6,5,4,1,8,2,3]=>1111010=>[1,1,1,1,2,2] [3,6,4,1,5,7,2,8]=>0110010=>[2,1,3,2] [8,1,5,4,7,6,3,2]=>1010111=>[1,2,2,1,1,1] [2,5,1,4,6,7,3,8]=>0100010=>[2,4,2] [3,6,4,1,5,7,8,2]=>0110001=>[2,1,4,1] [7,6,5,2,8,4,1,3]=>1110110=>[1,1,1,2,1,2] [3,1,6,5,2,8,7,4]=>1011011=>[1,2,1,2,1,1] [1,7,2,4,3,5,8,6]=>0101001=>[2,2,3,1] [3,8,1,7,4,2,6,5]=>0101101=>[2,2,1,2,1] [8,1,7,4,3,5,6,2]=>1011001=>[1,2,1,3,1] [6,8,2,4,5,3,7,1]=>0100101=>[2,3,2,1] [4,8,5,3,6,1,7,2]=>0110101=>[2,1,2,2,1] [2,8,3,1,4,7,5,6]=>0110010=>[2,1,3,2] [8,6,3,2,7,4,1,5]=>1110110=>[1,1,1,2,1,2] [2,7,3,1,8,4,5,6]=>0110100=>[2,1,2,3] [1,2,8,3,5,6,4,7]=>0010010=>[3,3,2] [3,5,7,4,8,1,6,2]=>0010101=>[3,2,2,1] [2,8,1,3,5,4,6,7]=>0100100=>[2,3,3] [1,3,2,10,6,5,4,9,8,7]=>010111011=>[2,2,1,1,2,1,1] [1,6,3,2,5,4,10,9,8,7]=>011010111=>[2,1,2,2,1,1,1] [1,6,3,2,10,5,4,9,8,7]=>011011011=>[2,1,2,1,2,1,1] [1,10,6,3,2,5,4,9,8,7]=>011101011=>[2,1,1,2,2,1,1] [1,6,3,2,10,9,5,4,8,7]=>011011101=>[2,1,2,1,1,2,1] [1,10,6,3,2,9,5,4,8,7]=>011101101=>[2,1,1,2,1,2,1] [3,1,2,6,5,4,10,9,8,7]=>100110111=>[1,3,1,2,1,1,1] [3,1,2,10,6,5,4,9,8,7]=>100111011=>[1,3,1,1,2,1,1] [3,1,6,2,5,4,10,9,8,7]=>101010111=>[1,2,2,2,1,1,1] [3,1,6,2,10,5,4,9,8,7]=>101011011=>[1,2,2,1,2,1,1] [3,1,10,6,2,5,4,9,8,7]=>101101011=>[1,2,1,2,2,1,1] [3,1,6,2,10,9,5,4,8,7]=>101011101=>[1,2,2,1,1,2,1] [3,1,10,6,2,9,5,4,8,7]=>101101101=>[1,2,1,2,1,2,1] [6,3,1,2,5,4,10,9,8,7]=>110010111=>[1,1,3,2,1,1,1] [6,3,1,2,10,5,4,9,8,7]=>110011011=>[1,1,3,1,2,1,1] [6,3,1,10,2,5,4,9,8,7]=>110101011=>[1,1,2,2,2,1,1] [10,6,3,1,2,5,4,9,8,7]=>111001011=>[1,1,1,3,2,1,1] [6,3,1,2,10,9,5,4,8,7]=>110011101=>[1,1,3,1,1,2,1] [6,3,1,10,2,9,5,4,8,7]=>110101101=>[1,1,2,2,1,2,1] [10,6,3,1,2,9,5,4,8,7]=>111001101=>[1,1,1,3,1,2,1] [3,1,6,5,2,4,10,9,8,7]=>101100111=>[1,2,1,3,1,1,1] [3,1,6,5,2,10,4,9,8,7]=>101101011=>[1,2,1,2,2,1,1] [3,1,10,6,5,2,4,9,8,7]=>101110011=>[1,2,1,1,3,1,1] [3,1,6,5,2,10,9,4,8,7]=>101101101=>[1,2,1,2,1,2,1] [3,1,10,6,5,2,9,4,8,7]=>101110101=>[1,2,1,1,2,2,1] [6,3,1,5,2,4,10,9,8,7]=>110100111=>[1,1,2,3,1,1,1] [6,3,1,5,2,10,4,9,8,7]=>110101011=>[1,1,2,2,2,1,1] [6,3,1,10,5,2,4,9,8,7]=>110110011=>[1,1,2,1,3,1,1] [10,6,3,1,5,2,4,9,8,7]=>111010011=>[1,1,1,2,3,1,1] [6,3,1,5,2,10,9,4,8,7]=>110101101=>[1,1,2,2,1,2,1] [6,3,1,10,5,2,9,4,8,7]=>110110101=>[1,1,2,1,2,2,1] [10,6,3,1,5,2,9,4,8,7]=>111010101=>[1,1,1,2,2,2,1] [6,3,1,10,9,5,2,4,8,7]=>110111001=>[1,1,2,1,1,3,1] [10,6,3,1,9,5,2,4,8,7]=>111011001=>[1,1,1,2,1,3,1] [3,1,6,5,2,10,9,8,4,7]=>101101110=>[1,2,1,2,1,1,2] [3,1,10,6,5,2,9,8,4,7]=>101110110=>[1,2,1,1,2,1,2] [6,3,1,5,2,10,9,8,4,7]=>110101110=>[1,1,2,2,1,1,2] [6,3,1,10,5,2,9,8,4,7]=>110110110=>[1,1,2,1,2,1,2] [10,6,3,1,5,2,9,8,4,7]=>111010110=>[1,1,1,2,2,1,2] [6,3,1,10,9,5,2,8,4,7]=>110111010=>[1,1,2,1,1,2,2] [1,5,2,8,6,4,3,7]=>0101110=>[2,2,1,1,2] [7,4,8,6,3,1,2,5]=>1011100=>[1,2,1,1,3] [3,6,8,4,1,2,5,7]=>0011000=>[3,1,4] [4,7,8,5,2,1,3,6]=>0011100=>[3,1,1,3] [6,1,5,2,8,7,3,4]=>1010110=>[1,2,2,1,2] [8,1,3,5,7,4,2,6]=>1000110=>[1,4,1,2] [3,1,8,5,4,7,2,6]=>1011010=>[1,2,1,2,2] [3,1,6,4,8,5,2,7]=>1010110=>[1,2,2,1,2] [5,1,3,4,2,6,8,7]=>1001001=>[1,3,3,1] [3,2,6,4,1,5,7,8]=>1011000=>[1,2,1,4] [5,4,2,1,8,3,6,7]=>1110100=>[1,1,1,2,3] [4,2,5,1,8,7,3,6]=>1010110=>[1,2,2,1,2] [6,8,2,7,1,4,3,5]=>0101010=>[2,2,2,2] [1,8,4,7,3,2,5,6]=>0101100=>[2,2,1,3] [8,6,3,1,5,7,2,4]=>1110010=>[1,1,1,3,2] [5,8,3,1,4,7,6,2]=>0110011=>[2,1,3,1,1] [1,2,5,4,7,8,3,6]=>0010010=>[3,3,2] [1,8,3,2,6,4,7,5]=>0110101=>[2,1,2,2,1] [4,7,1,2,5,3,6,8]=>0100100=>[2,3,3] [6,8,4,1,3,7,2,5]=>0110010=>[2,1,3,2] [3,2,6,1,7,8,5,4]=>1010011=>[1,2,3,1,1] [7,6,4,1,8,3,5,2]=>1110101=>[1,1,1,2,2,1] [5,4,1,6,7,3,2,8]=>1100110=>[1,1,3,1,2] [7,4,1,6,5,8,2,3]=>1101010=>[1,1,2,2,2] [8,5,4,1,6,7,3,2]=>1110011=>[1,1,1,3,1,1] [5,2,1,6,4,7,8,3]=>1101001=>[1,1,2,3,1] [1,6,2,3,5,7,8,4]=>0100001=>[2,5,1] [1,3,4,8,5,2,6,7]=>0001100=>[4,1,3] [8,2,4,6,1,7,3,5]=>1001010=>[1,3,2,2] [1,5,7,2,3,6,8,4]=>0010001=>[3,4,1] [7,3,1,4,2,5,8,6]=>1101001=>[1,1,2,3,1] [3,2,5,7,8,4,1,6]=>1000110=>[1,4,1,2] [4,3,5,1,6,2,7,8]=>1010100=>[1,2,2,3] [8,6,3,5,4,1,2,7]=>1101100=>[1,1,2,1,3] [8,3,2,6,1,5,4,7]=>1101010=>[1,1,2,2,2] [8,5,1,7,4,6,2,3]=>1101010=>[1,1,2,2,2] [4,8,1,7,6,3,5,2]=>0101101=>[2,2,1,2,1] [8,5,1,7,4,3,6,2]=>1101101=>[1,1,2,1,2,1] [8,5,7,6,2,1,3,4]=>1011100=>[1,2,1,1,3] [5,4,8,3,1,7,2,6]=>1011010=>[1,2,1,2,2] [5,1,4,8,3,2,7,6]=>1001101=>[1,3,1,2,1] [4,8,1,7,6,5,2,3]=>0101110=>[2,2,1,1,2] [4,3,8,7,2,6,1,5]=>1011010=>[1,2,1,2,2] [3,8,7,2,6,4,1,5]=>0110110=>[2,1,2,1,2] [8,2,5,7,4,3,6,1]=>1001101=>[1,3,1,2,1] [3,8,7,4,6,1,2,5]=>0110100=>[2,1,2,3] [8,7,6,3,5,4,1,2]=>1110110=>[1,1,1,2,1,2] [2,8,4,7,6,1,5,3]=>0101101=>[2,2,1,2,1] [2,5,4,8,3,1,7,6]=>0101101=>[2,2,1,2,1] [5,4,8,2,1,3,7,6]=>1011001=>[1,2,1,3,1] [3,8,7,2,6,1,5,4]=>0110101=>[2,1,2,2,1] [1,8,4,7,6,3,5,2]=>0101101=>[2,2,1,2,1] [1,8,3,7,6,5,2,4]=>0101110=>[2,2,1,1,2] [1,4,3,8,7,2,6,5]=>0101101=>[2,2,1,2,1] [7,1,5,4,6,2,3,8]=>1010100=>[1,2,2,3] [7,4,1,3,6,2,5,8]=>1100100=>[1,1,3,3] [5,4,3,1,7,6,2,8]=>1110110=>[1,1,1,2,1,2] [4,1,3,7,5,6,2,8]=>1001010=>[1,3,2,2] [2,6,8,3,1,7,4,5]=>0011010=>[3,1,2,2] [2,5,4,8,1,7,3,6]=>0101010=>[2,2,2,2] [7,2,6,5,8,3,4,1]=>1010101=>[1,2,2,2,1] [5,6,3,1,4,2,7,8]=>0110100=>[2,1,2,3] [2,6,5,3,4,8,7,1]=>0110011=>[2,1,3,1,1] [2,6,1,5,3,4,7,8]=>0101000=>[2,2,4] [3,6,2,7,4,5,1,8]=>0101010=>[2,2,2,2] [3,4,7,8,5,1,6,2]=>0001101=>[4,1,2,1] [3,6,2,4,7,8,5,1]=>0100011=>[2,4,1,1] [5,3,6,4,8,7,2,1]=>1010111=>[1,2,2,1,1,1] [1,5,4,8,6,2,7,3]=>0101101=>[2,2,1,2,1] [4,5,2,7,6,3,8,1]=>0101101=>[2,2,1,2,1] [7,6,2,5,3,8,4,1]=>1101011=>[1,1,2,2,1,1] [8,4,6,1,3,7,2,5]=>1010010=>[1,2,3,2] [4,8,5,1,2,3,6,7]=>0110000=>[2,1,5] [8,6,2,4,5,1,3,7]=>1100100=>[1,1,3,3] [4,5,1,3,8,6,2,7]=>0100110=>[2,3,1,2] [7,4,2,3,6,8,5,1]=>1100011=>[1,1,4,1,1] [2,1,6,7,4,8,3,5]=>1001010=>[1,3,2,2] [7,8,3,1,6,2,5,4]=>0110101=>[2,1,2,2,1] [7,5,2,8,1,4,6,3]=>1101001=>[1,1,2,3,1] [6,7,8,2,5,4,3,1]=>0010111=>[3,2,1,1,1] [7,8,1,6,2,5,4,3]=>0101011=>[2,2,2,1,1] [5,1,6,8,3,4,7,2]=>1001001=>[1,3,3,1] [7,1,6,8,5,4,3,2]=>1001111=>[1,3,1,1,1,1] [5,6,8,1,2,3,7,4]=>0010001=>[3,4,1] [4,8,1,2,7,6,5,3]=>0100111=>[2,3,1,1,1] [4,6,1,2,8,5,7,3]=>0100101=>[2,3,2,1] [6,4,7,3,5,2,1,8]=>1010110=>[1,2,2,1,2] [5,7,8,4,2,1,3,6]=>0011100=>[3,1,1,3] [6,4,8,3,5,2,1,7]=>1010110=>[1,2,2,1,2] [3,1,6,2,5,7,8,4]=>1010001=>[1,2,4,1] [2,1,6,3,5,7,4,8]=>1010010=>[1,2,3,2] [1,6,4,5,2,7,3,8]=>0101010=>[2,2,2,2] [1,4,7,3,2,5,6,8]=>0011000=>[3,1,4] [6,2,1,4,5,3,7,8]=>1100100=>[1,1,3,3] [1,2,3,4,5,8,9,6,7]=>00000010=>[7,2] [1,2,3,4,7,9,5,8,6]=>00000101=>[6,2,1] [1,2,3,6,9,4,7,8,5]=>00001001=>[5,3,1] [1,2,4,6,8,3,7,5]=>0000101=>[5,2,1] [1,2,5,9,3,6,7,8,4]=>00010001=>[4,4,1] [1,3,5,8,2,6,7,4]=>0001001=>[4,3,1] [1,4,9,2,5,6,7,8,3]=>00100001=>[3,5,1] [3,9,1,4,5,6,7,8,2]=>01000001=>[2,6,1] [6,1,3,7,2,8,5,4]=>1001011=>[1,3,2,1,1] [6,4,5,8,3,7,1,2]=>1001010=>[1,3,2,2] [8,1,4,3,6,7,2,5]=>1010010=>[1,2,3,2] [2,6,8,4,3,1,7,5]=>0011101=>[3,1,1,2,1] [8,1,5,2,6,4,3,7]=>1010110=>[1,2,2,1,2] [1,6,7,4,2,8,3,5]=>0011010=>[3,1,2,2] [1,7,8,4,3,6,2,5]=>0011010=>[3,1,2,2] [1,5,8,7,4,3,2,6]=>0011110=>[3,1,1,1,2] [1,4,7,2,3,6,8,5]=>0010001=>[3,4,1] [3,1,2,6,7,8,5,4]=>1000011=>[1,5,1,1] [3,8,1,6,4,2,7,5]=>0101101=>[2,2,1,2,1] [1,6,3,4,7,8,2,5]=>0100010=>[2,4,2] [3,1,5,7,6,2,8,4]=>1001101=>[1,3,1,2,1] [6,3,1,4,2,7,8,5]=>1101001=>[1,1,2,3,1] [2,4,3,7,6,1,8,5]=>0101101=>[2,2,1,2,1] [3,1,7,6,5,2,8,4]=>1011101=>[1,2,1,1,2,1] [1,4,7,6,8,3,2,5]=>0010110=>[3,2,1,2] [7,2,1,5,6,3,8,4]=>1100101=>[1,1,3,2,1] [4,3,1,8,6,2,7,5]=>1101101=>[1,1,2,1,2,1] [3,1,5,2,8,7,6,4]=>1010111=>[1,2,2,1,1,1] [1,2,8,4,3,7,6,5]=>0011011=>[3,1,2,1,1] [2,6,1,8,7,4,3,5]=>0101110=>[2,2,1,1,2] [7,5,1,8,3,2,6,4]=>1101101=>[1,1,2,1,2,1] [4,7,6,3,1,8,2,5]=>0111010=>[2,1,1,2,2] [5,3,1,8,6,2,4,7]=>1101100=>[1,1,2,1,3] [5,1,8,6,3,2,4,7]=>1011100=>[1,2,1,1,3] [1,5,4,2,8,6,3,7]=>0110110=>[2,1,2,1,2] [1,4,2,8,5,3,7,6]=>0101101=>[2,2,1,2,1] [8,3,1,6,4,2,5,7]=>1101100=>[1,1,2,1,3] [1,7,4,8,3,5,2,6]=>0101010=>[2,2,2,2] [7,3,2,4,8,5,1,6]=>1100110=>[1,1,3,1,2] [5,7,8,1,4,2,6,3]=>0010101=>[3,2,2,1] [2,6,3,8,1,7,5,4]=>0101011=>[2,2,2,1,1] [2,5,1,8,6,3,7,4]=>0101101=>[2,2,1,2,1] [2,8,6,4,1,7,3,5]=>0111010=>[2,1,1,2,2] [1,8,4,2,7,5,3,6]=>0110110=>[2,1,2,1,2] [6,5,1,7,2,8,4,3]=>1101011=>[1,1,2,2,1,1] [2,8,1,7,5,3,6,4]=>0101101=>[2,2,1,2,1] [1,2,8,7,6,4,3,5]=>0011110=>[3,1,1,1,2] [4,1,7,8,6,3,5,2]=>1001101=>[1,3,1,2,1] [1,6,5,7,8,4,2,3]=>0100110=>[2,3,1,2] [4,1,8,7,6,3,5,2]=>1011101=>[1,2,1,1,2,1] [4,8,2,6,3,5,1,7]=>0101010=>[2,2,2,2] [4,3,5,7,1,6,2,8]=>1001010=>[1,3,2,2] [4,1,8,5,3,6,2,7]=>1011010=>[1,2,1,2,2] [6,4,2,5,3,1,7,8]=>1101100=>[1,1,2,1,3] [3,1,5,8,2,7,4,6]=>1001010=>[1,3,2,2] [6,4,1,5,3,2,7,8]=>1101100=>[1,1,2,1,3] [6,2,1,5,4,3,7,8]=>1101100=>[1,1,2,1,3] [3,1,8,5,4,6,2,7]=>1011010=>[1,2,1,2,2] [6,1,8,4,5,3,2,7]=>1010110=>[1,2,2,1,2] [4,5,2,7,1,6,3,8]=>0101010=>[2,2,2,2] [4,3,5,7,1,6,8,2]=>1001001=>[1,3,3,1] [4,1,8,5,3,6,7,2]=>1011001=>[1,2,1,3,1] [6,3,8,4,5,1,7,2]=>1010101=>[1,2,2,2,1] [3,1,6,8,5,7,4,2]=>1001011=>[1,3,2,1,1] [2,6,1,8,5,7,4,3]=>0101011=>[2,2,2,1,1] [6,3,8,4,5,2,1,7]=>1010110=>[1,2,2,1,2] [6,5,8,7,2,3,4,1]=>1011001=>[1,2,1,3,1] [6,3,8,4,5,2,7,1]=>1010101=>[1,2,2,2,1] [2,1,6,8,5,3,7,4]=>1001101=>[1,3,1,2,1] [3,2,6,8,5,4,7,1]=>1001101=>[1,3,1,2,1] [4,1,8,5,2,6,3,7]=>1011010=>[1,2,1,2,2] [3,1,6,8,5,2,4,7]=>1001100=>[1,3,1,3] [6,5,8,7,4,1,2,3]=>1011100=>[1,2,1,1,3] [6,5,8,7,4,2,1,3]=>1011110=>[1,2,1,1,1,2] [6,5,8,7,2,4,1,3]=>1011010=>[1,2,1,2,2] [6,2,8,4,5,7,1,3]=>1010010=>[1,2,3,2] [6,1,8,4,5,7,3,2]=>1010011=>[1,2,3,1,1] [10,1,11,2,3,4,5,6,7,8,9]=>1010000000=>[1,2,8] [1,9,2,10,3,4,5,6,7,8]=>010100000=>[2,2,6] [2,8,1,9,3,4,5,6,7]=>01010000=>[2,2,5] [10,11,1,2,3,4,5,6,7,8,9]=>0100000000=>[2,9] [4,2,7,3,5,8,6,1]=>1010011=>[1,2,3,1,1] [3,6,2,4,8,5,7,1]=>0100101=>[2,3,2,1] [2,7,5,4,3,8,6,1]=>0111011=>[2,1,1,2,1,1] [3,5,1,8,4,7,6,2]=>0101011=>[2,2,2,1,1] [3,6,1,8,5,4,7,2]=>0101101=>[2,2,1,2,1] [2,4,8,3,7,6,5,1]=>0010111=>[3,2,1,1,1] [3,6,8,2,5,7,4,1]=>0010011=>[3,3,1,1] [2,6,8,5,4,3,7,1]=>0011101=>[3,1,1,2,1] [3,6,8,2,5,4,7,1]=>0010101=>[3,2,2,1] [4,6,8,3,2,5,7,1]=>0011001=>[3,1,3,1] [4,6,2,8,3,5,7,1]=>0101001=>[2,2,3,1] [3,6,1,8,5,7,4,2]=>0101011=>[2,2,2,1,1] [5,2,6,8,4,1,7,3]=>1001101=>[1,3,1,2,1] [4,6,3,8,7,2,5,1]=>0101101=>[2,2,1,2,1] [3,5,8,2,7,4,6,1]=>0010101=>[3,2,2,1] [2,6,8,5,7,4,3,1]=>0010111=>[3,2,1,1,1] [2,4,8,7,6,3,5,1]=>0011101=>[3,1,1,2,1] [7,5,1,6,3,2,8,4]=>1101101=>[1,1,2,1,2,1] [2,7,6,3,4,1,8,5]=>0110101=>[2,1,2,2,1] [5,7,6,3,1,2,8,4]=>0111001=>[2,1,1,3,1] [4,8,2,1,7,5,6,3]=>0110101=>[2,1,2,2,1] [6,3,8,5,7,2,4,1]=>1010101=>[1,2,2,2,1] [1,5,4,8,6,2,3,7]=>0101100=>[2,2,1,3] [8,2,1,7,5,3,6,4]=>1101101=>[1,1,2,1,2,1] [8,2,1,6,7,3,5,4]=>1100101=>[1,1,3,2,1] [6,2,8,1,7,5,3,4]=>1010110=>[1,2,2,1,2] [3,5,1,8,7,6,2,4]=>0101110=>[2,2,1,1,2] [1,4,2,3,6,5,8,7,9]=>01001010=>[2,3,2,2] [1,3,4,2,6,5,8,7,9]=>00101010=>[3,2,2,2] [1,4,2,3,6,5,8,7,10,9]=>010010101=>[2,3,2,2,1] [2,3,1,4,6,5,8,7,9]=>01001010=>[2,3,2,2] [4,6,1,2,3,5,8,7,9]=>01000010=>[2,5,2] [3,4,5,1,6,2,8,7,9]=>00101010=>[3,2,2,2] [3,1,2,4,6,5,8,7,9]=>10001010=>[1,4,2,2] [1,3,4,2,6,5,8,7,10,9]=>001010101=>[3,2,2,2,1] [3,1,4,2,6,5,8,7,10,9,11]=>1010101010=>[1,2,2,2,2,2] [4,7,3,5,6,1,2,8]=>0100100=>[2,3,3] [4,7,8,3,5,6,1,2]=>0010010=>[3,3,2] [2,1,3,4,5,6,9,7,8]=>10000010=>[1,6,2] [1,2,3,4,5,6,7,8,10,9,11]=>0000000010=>[9,2] [1,2,3,4,5,7,8,6,9]=>00000010=>[7,2] [2,1,3,4,5,6,7,10,8,9]=>100000010=>[1,7,2] [3,2,5,6,8,4,7,1]=>1000101=>[1,4,2,1] [8,4,5,2,6,3,7,1]=>1010101=>[1,2,2,2,1] [2,5,6,4,8,3,7,1]=>0010101=>[3,2,2,1] [4,2,5,7,3,8,1,6]=>1001010=>[1,3,2,2] [4,7,3,1,6,8,2,5]=>0110010=>[2,1,3,2] [4,2,7,6,8,1,3,5]=>1010100=>[1,2,2,3] [1,7,4,6,8,3,2,5]=>0100110=>[2,3,1,2] [2,4,3,6,5,8,7,10,9,12,11,1]=>01010101011=>[2,2,2,2,2,1,1] [4,7,2,5,6,3,1,8]=>0100110=>[2,3,1,2] [5,4,1,3,7,8,2,6]=>1100010=>[1,1,4,2] [6,1,5,8,3,7,2,4]=>1001010=>[1,3,2,2] [4,1,3,5,7,8,2,6]=>1000010=>[1,5,2] [6,1,5,8,4,3,2,7]=>1001110=>[1,3,1,1,2] [7,2,1,6,8,3,5,4]=>1100101=>[1,1,3,2,1] [5,6,4,1,8,3,2,7]=>0110110=>[2,1,2,1,2] [2,3,7,8,5,1,6,4]=>0001101=>[4,1,2,1] [4,1,7,6,2,3,8,5]=>1011001=>[1,2,1,3,1] [1,2,6,7,4,3,5,8]=>0001100=>[4,1,3] [10,2,3,4,5,6,7,8,1,9]=>100000010=>[1,7,2] [7,1,9,3,4,5,6,2,8]=>10100010=>[1,2,4,2] [5,8,6,3,4,1,2,7]=>0110100=>[2,1,2,3] [3,10,1,4,5,6,7,8,9,2]=>010000001=>[2,7,1] [11,2,3,4,5,6,7,8,9,1,10]=>1000000010=>[1,8,2] [8,1,10,3,4,5,6,7,2,9]=>101000010=>[1,2,5,2] [7,2,1,9,4,5,6,3,8]=>11010010=>[1,1,2,3,2] [6,9,7,3,4,5,1,2,8]=>01100100=>[2,1,3,3] [6,2,3,1,8,5,4,7]=>1010110=>[1,2,2,1,2] [5,1,2,6,4,8,3,7]=>1001010=>[1,3,2,2] [8,6,2,3,7,5,1,4]=>1100110=>[1,1,3,1,2] [3,8,1,2,9,5,6,7,4]=>01001001=>[2,3,3,1] [8,7,9,1,2,3,4,5,6]=>10100000=>[1,2,6] [3,11,1,4,5,6,7,8,9,10,2]=>0100000001=>[2,8,1] [12,2,3,4,5,6,7,8,9,10,1,11]=>10000000010=>[1,9,2] [9,1,11,3,4,5,6,7,8,2,10]=>1010000010=>[1,2,6,2] [8,2,1,10,4,5,6,7,3,9]=>110100010=>[1,1,2,4,2] [7,10,8,3,4,5,6,1,2,9]=>011000100=>[2,1,4,3] [7,2,3,1,9,5,6,4,8]=>10101010=>[1,2,2,2,2] [6,1,2,7,4,5,9,3,8]=>10010010=>[1,3,3,2] [5,9,6,3,4,1,7,2,8]=>01101010=>[2,1,2,2,2] [4,5,2,8,6,1,3,7]=>0101100=>[2,2,1,3] [3,4,8,2,5,6,1,7]=>0010010=>[3,3,2] [3,8,1,4,2,9,6,7,5]=>01010101=>[2,2,2,2,1] [9,7,2,3,8,5,6,1,4]=>11001010=>[1,1,3,2,2] [3,9,1,2,10,5,6,7,8,4]=>010010001=>[2,3,4,1] [3,12,1,4,5,6,7,8,9,10,11,2]=>01000000001=>[2,9,1] [2,8,3,6,7,4,5,1]=>0100101=>[2,3,2,1] [6,8,2,7,5,3,1,4]=>0101110=>[2,2,1,1,2] [6,3,2,5,8,4,1,7]=>1100110=>[1,1,3,1,2] [5,6,7,2,8,4,1,3]=>0010110=>[3,2,1,2] [5,8,3,6,4,1,7,2]=>0101101=>[2,2,1,2,1] [4,3,8,5,2,7,1,6]=>1011010=>[1,2,1,2,2] [2,8,4,5,1,6,3,7]=>0101010=>[2,2,2,2] [3,2,5,8,4,7,1,6]=>1001010=>[1,3,2,2] [2,5,8,1,3,4,7,6]=>0010001=>[3,4,1] [3,5,1,8,7,4,2,6]=>0101110=>[2,2,1,1,2] [4,6,1,3,8,2,7,5]=>0100101=>[2,3,2,1] [8,6,1,2,3,5,7,4]=>1100001=>[1,1,5,1] [5,1,7,8,3,2,4,6]=>1001100=>[1,3,1,3] [3,1,7,6,2,8,5,4]=>1011011=>[1,2,1,2,1,1] [5,3,6,7,4,2,8,1]=>1001101=>[1,3,1,2,1] [5,4,2,8,6,7,3,1]=>1101011=>[1,1,2,2,1,1] [6,1,4,2,8,7,3,5]=>1010110=>[1,2,2,1,2] [3,7,2,6,8,4,5,1]=>0100101=>[2,3,2,1] [4,6,5,2,7,8,3,1]=>0110011=>[2,1,3,1,1] [5,4,6,2,7,8,3,1]=>1010011=>[1,2,3,1,1] [5,1,8,6,4,2,7,3]=>1011101=>[1,2,1,1,2,1] [6,2,1,8,5,7,4,3]=>1101011=>[1,1,2,2,1,1] [5,4,6,2,3,1,8,7]=>1010101=>[1,2,2,2,1] [6,5,7,8,1,3,4,2]=>1001001=>[1,3,3,1] [2,1,7,6,8,4,5,3]=>1010101=>[1,2,2,2,1] [6,4,7,2,8,3,1,5]=>1010110=>[1,2,2,1,2] [6,3,2,7,8,4,5,1]=>1100101=>[1,1,3,2,1] [4,7,3,1,5,2,8,6]=>0110101=>[2,1,2,2,1] [2,1,4,7,5,3,8,6]=>1001101=>[1,3,1,2,1] [4,7,6,3,1,5,8,2]=>0111001=>[2,1,1,3,1] [2,7,3,1,8,5,4,6]=>0110110=>[2,1,2,1,2] [2,8,3,1,7,4,5,6]=>0110100=>[2,1,2,3] [7,6,8,9,1,2,3,4,5]=>10010000=>[1,3,5] [5,4,6,7,8,9,1,2,3]=>10000100=>[1,5,3] [1,5,6,8,3,2,4,7]=>0001100=>[4,1,3] [1,8,2,7,3,5,6,4]=>0101001=>[2,2,3,1] [1,7,4,8,6,5,3,2]=>0101111=>[2,2,1,1,1,1] [1,6,3,5,7,4,8,2]=>0100101=>[2,3,2,1] [1,5,4,7,2,8,3,6]=>0101010=>[2,2,2,2] [3,8,5,2,6,1,7,4]=>0110101=>[2,1,2,2,1] [3,7,4,8,5,2,6,1]=>0101101=>[2,2,1,2,1] [8,1,2,6,5,3,4,7]=>1001100=>[1,3,1,3] [3,7,4,2,5,6,1,8]=>0110010=>[2,1,3,2] [6,8,7,1,3,4,2,5]=>0110010=>[2,1,3,2] [3,4,2,8,6,7,5,1]=>0101011=>[2,2,2,1,1] [3,7,8,6,1,4,2,5]=>0011010=>[3,1,2,2] [3,6,1,5,2,7,8,4]=>0101001=>[2,2,3,1] [8,1,2,6,3,5,7,4]=>1001001=>[1,3,3,1] [6,2,8,4,7,1,3,5]=>1010100=>[1,2,2,3] [3,7,8,4,2,5,6,1]=>0011001=>[3,1,3,1] [3,4,2,8,5,1,6,7]=>0101100=>[2,2,1,3] [1,4,3,2,5,6,7,8,9]=>01100000=>[2,1,6] [6,8,2,7,5,4,1,3]=>0101110=>[2,2,1,1,2] [1,8,4,3,7,6,2,5]=>0110110=>[2,1,2,1,2] [4,3,8,7,1,2,6,5]=>1011001=>[1,2,1,3,1] [1,8,4,5,7,6,2,3]=>0100110=>[2,3,1,2] [4,3,8,5,7,1,6,2]=>1010101=>[1,2,2,2,1] [6,3,4,8,7,2,1,5]=>1001110=>[1,3,1,1,2] [5,3,8,4,7,1,6,2]=>1010101=>[1,2,2,2,1] [5,2,8,7,1,4,6,3]=>1011001=>[1,2,1,3,1] [3,2,8,7,1,6,4,5]=>1011010=>[1,2,1,2,2] [2,7,8,3,1,6,4,5]=>0011010=>[3,1,2,2] [2,7,8,5,1,4,6,3]=>0011001=>[3,1,3,1] [3,5,8,7,4,1,6,2]=>0011101=>[3,1,1,2,1] [7,4,6,8,3,5,1,2]=>1001010=>[1,3,2,2] [2,7,8,1,3,6,4,5]=>0010010=>[3,3,2] [2,7,8,1,5,4,6,3]=>0010101=>[3,2,2,1] [2,7,8,1,4,5,6,3]=>0010001=>[3,4,1] [3,6,7,8,2,4,1,5]=>0001010=>[4,2,2] [4,5,7,8,6,3,1,2]=>0001110=>[4,1,1,2] [5,4,6,8,7,3,1,2]=>1001110=>[1,3,1,1,2] [4,5,8,6,7,1,3,2]=>0010101=>[3,2,2,1] [5,7,6,8,2,1,3,4]=>0101100=>[2,2,1,3] [3,7,6,8,2,4,1,5]=>0101010=>[2,2,2,2] [5,4,7,8,6,3,1,2]=>1001110=>[1,3,1,1,2] [4,5,7,8,2,6,1,3]=>0001010=>[4,2,2] [4,5,6,8,7,3,1,2]=>0001110=>[4,1,1,2] [6,1,5,3,8,4,7,2]=>1010101=>[1,2,2,2,1] [1,8,6,2,5,4,7,3]=>0110101=>[2,1,2,2,1] [3,8,4,1,7,5,2,6]=>0110110=>[2,1,2,1,2] [6,2,7,4,8,3,1,5]=>1010110=>[1,2,2,1,2] [2,8,5,1,4,3,7,6]=>0110101=>[2,1,2,2,1] [6,8,2,7,5,1,4,3]=>0101101=>[2,2,1,2,1] [8,3,4,5,6,1,7,2]=>1000101=>[1,4,2,1] [5,3,6,4,7,2,1,8]=>1010110=>[1,2,2,1,2] [4,2,6,5,7,3,1,8]=>1010110=>[1,2,2,1,2] [5,4,6,2,7,3,1,8]=>1010110=>[1,2,2,1,2] [3,2,6,5,8,4,1,7]=>1010110=>[1,2,2,1,2] [3,2,6,5,8,7,1,4]=>1010110=>[1,2,2,1,2] [4,2,6,5,8,7,1,3]=>1010110=>[1,2,2,1,2] [5,2,6,4,8,7,1,3]=>1010110=>[1,2,2,1,2] [5,4,7,6,8,2,1,3]=>1010110=>[1,2,2,1,2] [6,4,7,5,8,3,1,2]=>1010110=>[1,2,2,1,2] [4,2,7,5,8,6,1,3]=>1010110=>[1,2,2,1,2] [3,2,7,5,8,4,1,6]=>1010110=>[1,2,2,1,2] [4,3,7,2,8,5,1,6]=>1010110=>[1,2,2,1,2] [4,3,6,2,8,5,1,7]=>1010110=>[1,2,2,1,2] [4,3,7,6,8,5,1,2]=>1010110=>[1,2,2,1,2] [5,3,7,6,8,2,1,4]=>1010110=>[1,2,2,1,2] [5,3,7,2,8,6,1,4]=>1010110=>[1,2,2,1,2] [3,2,6,4,8,7,1,5]=>1010110=>[1,2,2,1,2] [4,2,7,3,8,6,1,5]=>1010110=>[1,2,2,1,2] [5,2,7,6,8,3,1,4]=>1010110=>[1,2,2,1,2] [3,2,7,6,8,4,1,5]=>1010110=>[1,2,2,1,2] [3,2,7,6,8,5,1,4]=>1010110=>[1,2,2,1,2] [6,2,7,5,8,4,1,3]=>1010110=>[1,2,2,1,2] [4,8,1,7,3,2,5,6]=>0101100=>[2,2,1,3] [3,7,4,8,2,1,5,6]=>0101100=>[2,2,1,3] [3,7,8,2,5,4,6,1]=>0010101=>[3,2,2,1] [4,7,5,8,3,2,6,1]=>0101101=>[2,2,1,2,1] [6,7,1,3,2,5,8,4]=>0101001=>[2,2,3,1] [8,7,6,4,1,5,3,2]=>1111011=>[1,1,1,1,2,1,1] [3,8,5,2,6,4,7,1]=>0110101=>[2,1,2,2,1] [7,2,5,3,4,8,1,6]=>1010010=>[1,2,3,2] [4,2,5,3,7,8,6,1]=>1010011=>[1,2,3,1,1] [5,3,6,2,4,1,8,7]=>1010101=>[1,2,2,2,1] [7,8,6,2,3,5,4,1]=>0110011=>[2,1,3,1,1] [5,8,2,6,3,7,4,1]=>0101011=>[2,2,2,1,1] [4,8,2,3,7,5,6,1]=>0100101=>[2,3,2,1] [7,5,6,2,3,8,4,1]=>1010011=>[1,2,3,1,1] [2,7,5,6,4,3,8,1]=>0101101=>[2,2,1,2,1] [2,8,4,3,7,5,6,1]=>0110101=>[2,1,2,2,1] [3,8,5,7,6,4,2,1]=>0101111=>[2,2,1,1,1,1] [7,8,6,3,5,4,2,1]=>0110111=>[2,1,2,1,1,1] [2,7,6,3,8,5,4,1]=>0110111=>[2,1,2,1,1,1] [7,4,2,5,6,3,8,1]=>1100101=>[1,1,3,2,1] [6,2,7,5,3,8,4,1]=>1011011=>[1,2,1,2,1,1] [2,4,8,3,7,5,6,1]=>0010101=>[3,2,2,1] [4,8,3,7,5,6,2,1]=>0101011=>[2,2,2,1,1] [6,2,5,8,3,7,4,1]=>1001011=>[1,3,2,1,1] [4,7,3,8,2,5,6,1]=>0101001=>[2,2,3,1] [8,2,5,6,3,7,4,1]=>1001011=>[1,3,2,1,1] [4,5,3,7,1,2,6,8]=>0101000=>[2,2,4] [8,5,6,4,1,3,2,7]=>1011010=>[1,2,1,2,2] [6,7,2,8,4,3,1,5]=>0101110=>[2,2,1,1,2] [6,7,3,2,8,4,1,5]=>0110110=>[2,1,2,1,2] [4,7,8,3,1,5,2,6]=>0011010=>[3,1,2,2] [4,5,8,1,3,2,6,7]=>0010100=>[3,2,3] [4,7,8,1,6,3,2,5]=>0010110=>[3,2,1,2] [4,7,1,3,8,6,5,2]=>0100111=>[2,3,1,1,1] [2,6,7,4,3,8,1,5]=>0011010=>[3,1,2,2] [3,7,6,4,5,8,1,2]=>0110010=>[2,1,3,2] [5,7,2,8,3,4,6,1]=>0101001=>[2,2,3,1] [3,7,2,8,5,6,4,1]=>0101011=>[2,2,2,1,1] [3,1,5,8,6,4,7,2]=>1001101=>[1,3,1,2,1] [2,3,8,6,4,5,7,1]=>0011001=>[3,1,3,1] [2,3,8,6,4,7,5,1]=>0011011=>[3,1,2,1,1] [3,6,2,8,7,4,5,1]=>0101101=>[2,2,1,2,1] [2,5,6,1,8,7,3,4]=>0010110=>[3,2,1,2] [3,6,2,8,4,7,5,1]=>0101011=>[2,2,2,1,1] [2,3,8,5,7,4,6,1]=>0010101=>[3,2,2,1] [8,5,6,3,1,4,2,7]=>1011010=>[1,2,1,2,2] [8,3,5,1,6,4,2,7]=>1010110=>[1,2,2,1,2] [5,7,8,3,4,6,2,1]=>0010011=>[3,3,1,1] [3,5,1,8,6,4,2,7]=>0101110=>[2,2,1,1,2] [7,5,3,8,6,4,2,1]=>1101111=>[1,1,2,1,1,1,1] [5,1,3,8,6,4,2,7]=>1001110=>[1,3,1,1,2] [1,5,8,3,6,4,2,7]=>0010110=>[3,2,1,2] [7,5,8,3,6,4,2,1]=>1010111=>[1,2,2,1,1,1] [1,5,8,6,3,4,2,7]=>0011010=>[3,1,2,2] [3,7,5,8,2,6,4,1]=>0101011=>[2,2,2,1,1] [5,7,8,1,4,6,2,3]=>0010010=>[3,3,2] [1,3,7,8,4,2,6,5]=>0001101=>[4,1,2,1] [6,1,2,5,3,4,7,8]=>1001000=>[1,3,4] [5,1,4,6,7,3,2,8]=>1000110=>[1,4,1,2] [1,4,6,5,7,2,3,8]=>0010100=>[3,2,3] [6,7,3,5,4,1,2,8]=>0101100=>[2,2,1,3] [8,1,6,7,3,5,4,2]=>1001011=>[1,3,2,1,1] [4,2,5,1,3,7,6,8]=>1010010=>[1,2,3,2] [1,3,2,6,8,4,7,5]=>0100101=>[2,3,2,1] [8,2,5,4,1,6,7,3]=>1011001=>[1,2,1,3,1] [8,1,7,5,4,2,6,3]=>1011101=>[1,2,1,1,2,1] [1,2,6,4,7,3,5,8]=>0010100=>[3,2,3] [1,6,4,3,7,2,5,8]=>0110100=>[2,1,2,3] [5,7,8,3,2,6,1,4]=>0011010=>[3,1,2,2] [2,3,4,5,6,9,8,7,1]=>00000111=>[6,1,1,1] [2,3,4,5,8,7,9,6,1]=>00001011=>[5,2,1,1] [2,3,6,5,7,8,9,4,1]=>00100011=>[3,4,1,1] [2,3,4,5,6,7,8,9,11,10,1]=>0000000011=>[9,1,1] [2,3,4,5,6,7,10,9,8,1]=>000000111=>[7,1,1,1] [2,3,4,5,8,9,7,6,1]=>00000111=>[6,1,1,1] [2,3,4,5,6,9,8,10,7,1]=>000001011=>[6,2,1,1] [8,4,5,1,3,7,6,2]=>1010011=>[1,2,3,1,1] [8,6,4,3,7,1,5,2]=>1110101=>[1,1,1,2,2,1] [7,5,6,8,1,3,2,4]=>1001010=>[1,3,2,2] [6,8,7,5,4,2,3,1]=>0111101=>[2,1,1,1,2,1] [7,3,1,8,6,5,2,4]=>1101110=>[1,1,2,1,1,2] [3,4,5,6,7,1,2,8,9]=>00001000=>[5,4] [2,7,3,1,4,8,6,5]=>0110011=>[2,1,3,1,1] [3,1,6,5,7,8,4,2]=>1010011=>[1,2,3,1,1] [4,3,1,5,8,7,6,2]=>1100111=>[1,1,3,1,1,1] [4,7,1,3,2,5,6,8]=>0101000=>[2,2,4] [4,1,6,7,3,2,8,5]=>1001101=>[1,3,1,2,1] [1,7,2,5,6,8,4,3]=>0100011=>[2,4,1,1] [4,7,6,8,3,1,5,2]=>0101101=>[2,2,1,2,1] [5,4,8,6,1,7,3,2]=>1011011=>[1,2,1,2,1,1] [3,5,4,7,1,8,6,2]=>0101011=>[2,2,2,1,1] [7,1,5,4,2,3,6,8]=>1011000=>[1,2,1,4] [7,1,3,6,4,5,2,8]=>1001010=>[1,3,2,2] [6,1,3,8,4,5,2,7]=>1001010=>[1,3,2,2] [2,1,8,7,3,6,5,4]=>1011011=>[1,2,1,2,1,1] [5,8,6,3,1,2,7,4]=>0111001=>[2,1,1,3,1] [5,8,2,7,1,3,6,4]=>0101001=>[2,2,3,1] [2,6,5,4,1,3,7,8]=>0111000=>[2,1,1,4] [4,1,5,7,6,3,2,8]=>1001110=>[1,3,1,1,2] [6,3,4,2,1,8,7,5]=>1011011=>[1,2,1,2,1,1] [4,5,1,7,6,3,2,8]=>0101110=>[2,2,1,1,2] [5,4,2,1,8,7,3,6]=>1110110=>[1,1,1,2,1,2] [6,2,1,5,4,3,8,7]=>1101101=>[1,1,2,1,2,1] [1,4,2,6,7,8,5,3]=>0100011=>[2,4,1,1] [1,4,2,5,6,8,7,3]=>0100011=>[2,4,1,1] [2,5,3,6,7,8,4,1]=>0100011=>[2,4,1,1] [1,8,6,2,4,3,5,7]=>0110100=>[2,1,2,3] [3,2,4,5,7,8,1,6]=>1000010=>[1,5,2] [2,3,4,7,5,8,6,1]=>0001011=>[4,2,1,1] [6,5,2,8,7,4,3,1]=>1101111=>[1,1,2,1,1,1,1] [7,8,5,4,2,1,6,3]=>0111101=>[2,1,1,1,2,1] [7,5,2,8,6,4,3,1]=>1101111=>[1,1,2,1,1,1,1] [7,8,3,2,6,5,4,1]=>0110111=>[2,1,2,1,1,1] [8,2,6,3,7,5,1,4]=>1010110=>[1,2,2,1,2] [8,6,7,2,5,3,1,4]=>1010110=>[1,2,2,1,2] [1,6,2,7,8,4,5,3]=>0100101=>[2,3,2,1] [8,6,2,7,5,4,1,3]=>1101110=>[1,1,2,1,1,2] [1,6,8,2,7,5,3,4]=>0010110=>[3,2,1,2] [7,6,3,2,8,1,5,4]=>1110101=>[1,1,1,2,2,1] [5,1,7,4,3,8,6,2]=>1011011=>[1,2,1,2,1,1] [8,6,3,7,2,4,1,5]=>1101010=>[1,1,2,2,2] [1,7,8,6,4,2,3,5]=>0011100=>[3,1,1,3] [7,2,8,6,4,1,3,5]=>1011100=>[1,2,1,1,3] [1,5,3,7,4,2,6,8]=>0101100=>[2,2,1,3] [1,7,6,4,3,2,8,5]=>0111101=>[2,1,1,1,2,1] [1,7,6,3,4,2,5,8]=>0110100=>[2,1,2,3] [1,2,7,4,3,8,6,5]=>0011011=>[3,1,2,1,1] [1,5,4,2,3,8,7,6]=>0110011=>[2,1,3,1,1] [1,5,3,2,4,6,7,8]=>0110000=>[2,1,5] [1,5,4,2,3,7,8,6]=>0110001=>[2,1,4,1] [1,2,7,6,3,5,8,4]=>0011001=>[3,1,3,1] [8,1,3,2,6,5,7,4]=>1010101=>[1,2,2,2,1] [3,2,7,5,6,1,8,4]=>1010101=>[1,2,2,2,1] [7,5,6,1,3,2,8,4]=>1010101=>[1,2,2,2,1] [7,4,5,1,6,3,8,2]=>1010101=>[1,2,2,2,1] [7,5,6,1,4,3,8,2]=>1010101=>[1,2,2,2,1] [8,1,4,3,5,2,7,6]=>1010101=>[1,2,2,2,1] [10,5,9,4,8,3,7,2,6,1]=>101010101=>[1,2,2,2,2,1] [1,3,5,2,4,7,6,9,8,10]=>001001010=>[3,3,2,2] [2,3,5,1,4,7,6,9,8]=>00100101=>[3,3,2,1] [3,4,1,5,2,7,6,9,8]=>01010101=>[2,2,2,2,1] [4,1,2,5,3,7,6,9,8]=>10010101=>[1,3,2,2,1] [1,4,2,5,3,7,6,9,8,10]=>010101010=>[2,2,2,2,2] [8,3,6,5,4,1,2,7]=>1011100=>[1,2,1,1,3] [1,7,5,8,4,6,3,2]=>0101011=>[2,2,2,1,1] [6,5,7,1,2,8,3,4]=>1010010=>[1,2,3,2] [7,1,4,2,3,8,6,5]=>1010011=>[1,2,3,1,1] [3,7,5,6,8,1,2,4]=>0100100=>[2,3,3] [8,1,2,5,3,7,6,4]=>1001011=>[1,3,2,1,1] [8,6,5,2,4,1,7,3]=>1110101=>[1,1,1,2,2,1] [3,6,5,2,4,1,7,8]=>0110100=>[2,1,2,3] [6,8,5,2,4,3,1,7]=>0110110=>[2,1,2,1,2] [3,4,2,8,6,7,1,5]=>0101010=>[2,2,2,2] [4,6,7,2,5,1,8,3]=>0010101=>[3,2,2,1] [3,6,2,5,1,7,8,4]=>0101001=>[2,2,3,1] [3,4,2,7,8,1,5,6]=>0100100=>[2,3,3] [3,8,5,2,4,7,1,6]=>0110010=>[2,1,3,2] [3,1,11,5,6,7,8,9,10,2,4]=>1010000010=>[1,2,6,2] [10,3,1,5,6,7,8,9,2,4]=>110000010=>[1,1,6,2] [10,4,1,5,6,7,8,9,2,3]=>110000010=>[1,1,6,2] [12,3,4,5,6,7,8,9,10,11,1,2]=>10000000010=>[1,9,2] [7,1,4,2,5,8,6,3]=>1010011=>[1,2,3,1,1] [7,8,5,1,2,4,3,6]=>0110010=>[2,1,3,2] [5,8,1,4,3,6,7,2]=>0101001=>[2,2,3,1] [7,2,3,8,6,4,1,5]=>1001110=>[1,3,1,1,2] [5,2,3,8,7,4,1,6]=>1001110=>[1,3,1,1,2] [5,7,6,3,1,2,4,8]=>0111000=>[2,1,1,4] [4,2,6,8,1,3,5,7,9]=>10010000=>[1,3,5] [4,6,2,8,1,3,5,7,9]=>01010000=>[2,2,5] [4,6,8,2,1,3,5,7,9]=>00110000=>[3,1,5] [4,6,2,7,8,1,3,5]=>0100100=>[2,3,3] [4,6,8,2,9,1,3,5,7]=>00101000=>[3,2,4] [4,6,2,7,9,1,3,5,8]=>01001000=>[2,3,4] [6,2,3,7,1,4,5,8]=>1001000=>[1,3,4] [4,2,5,7,9,1,3,6,8]=>10001000=>[1,4,4] [2,3,5,7,9,1,4,6,8]=>00001000=>[5,4] [4,2,6,8,10,1,3,5,7,9]=>100010000=>[1,4,5] [6,4,2,8,1,3,5,7,9]=>11010000=>[1,1,2,5] [4,6,2,8,10,1,3,5,7,9]=>010010000=>[2,3,5] [8,4,6,2,1,3,5,7,9]=>10110000=>[1,2,1,5] [4,6,8,2,10,1,3,5,7,9]=>001010000=>[3,2,5] [4,6,8,9,2,1,3,5,7]=>00011000=>[4,1,4] [4,6,8,10,2,1,3,5,7,9]=>000110000=>[4,1,5] [4,6,7,8,2,1,3,5]=>0001100=>[4,1,3] [4,6,2,7,1,3,5,8,9]=>01010000=>[2,2,5] [4,6,8,2,9,1,3,5,7,10]=>001010000=>[3,2,5] [4,8,2,5,9,1,3,6,7]=>01001000=>[2,3,4] [4,6,2,7,9,1,3,5,8,10]=>010010000=>[2,3,5] [6,2,3,7,9,1,4,5,8]=>10001000=>[1,4,4] [4,2,5,7,9,1,3,6,8,10]=>100010000=>[1,4,5] [1,4,5,7,9,2,3,6,8]=>00001000=>[5,4] [2,3,5,7,9,1,4,6,8,10]=>000010000=>[5,5] [8,6,3,2,1,7,5,4]=>1111011=>[1,1,1,1,2,1,1] [5,3,4,1,7,8,2,6]=>1010010=>[1,2,3,2] [8,6,4,9,7,5,3,2,1]=>11011111=>[1,1,2,1,1,1,1,1] [7,8,5,9,6,4,3,2,1]=>01011111=>[2,2,1,1,1,1,1] [8,6,4,2,9,7,5,3,1]=>11101111=>[1,1,1,2,1,1,1,1] [7,8,5,3,9,6,4,2,1]=>01101111=>[2,1,2,1,1,1,1] [7,4,8,5,9,6,3,2,1]=>10101111=>[1,2,2,1,1,1,1] [6,7,8,4,9,5,3,2,1]=>00101111=>[3,2,1,1,1,1] [7,8,5,3,1,9,6,4,2]=>01110111=>[2,1,1,2,1,1,1] [7,4,8,5,2,9,6,3,1]=>10110111=>[1,2,1,2,1,1,1] [6,7,8,4,2,9,5,3,1]=>00110111=>[3,1,2,1,1,1] [6,7,3,8,4,9,5,2,1]=>01010111=>[2,2,2,1,1,1] [5,6,7,8,3,9,4,2,1]=>00010111=>[4,2,1,1,1] [6,7,3,8,4,1,9,5,2]=>01011011=>[2,2,1,2,1,1] [5,6,7,8,3,1,9,4,2]=>00011011=>[4,1,2,1,1] [6,2,7,3,8,4,9,5,1]=>10101011=>[1,2,2,2,1,1] [5,6,7,2,8,3,9,4,1]=>00101011=>[3,2,2,1,1] [4,5,6,7,8,2,9,3,1]=>00001011=>[5,2,1,1] [5,6,1,7,2,8,3,9,4]=>01010101=>[2,2,2,2,1] [4,5,6,7,1,8,2,9,3]=>00010101=>[4,2,2,1] [9,7,10,8,6,5,4,3,2,1]=>101111111=>[1,2,1,1,1,1,1,1,1] [9,7,5,10,8,6,4,3,2,1]=>110111111=>[1,1,2,1,1,1,1,1,1] [8,9,6,10,7,5,4,3,2,1]=>010111111=>[2,2,1,1,1,1,1,1] [9,7,5,3,10,8,6,4,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [8,9,6,4,10,7,5,3,2,1]=>011011111=>[2,1,2,1,1,1,1,1] [8,5,9,6,10,7,4,3,2,1]=>101011111=>[1,2,2,1,1,1,1,1] [7,8,9,5,10,6,4,3,2,1]=>001011111=>[3,2,1,1,1,1,1] [8,9,6,4,2,10,7,5,3,1]=>011101111=>[2,1,1,2,1,1,1,1] [8,5,9,6,3,10,7,4,2,1]=>101101111=>[1,2,1,2,1,1,1,1] [7,8,9,5,3,10,6,4,2,1]=>001101111=>[3,1,2,1,1,1,1] [7,8,4,9,5,10,6,3,2,1]=>010101111=>[2,2,2,1,1,1,1] [6,7,8,9,4,10,5,3,2,1]=>000101111=>[4,2,1,1,1,1] [8,5,9,6,3,1,10,7,4,2]=>101110111=>[1,2,1,1,2,1,1,1] [7,8,9,5,3,1,10,6,4,2]=>001110111=>[3,1,1,2,1,1,1] [8,5,2,9,6,3,10,7,4,1]=>110110111=>[1,1,2,1,2,1,1,1] [6,7,8,9,4,2,10,5,3,1]=>000110111=>[4,1,2,1,1,1] [7,3,8,4,9,5,10,6,2,1]=>101010111=>[1,2,2,2,1,1,1] [6,7,8,3,9,4,10,5,2,1]=>001010111=>[3,2,2,1,1,1] [5,6,7,8,9,3,10,4,2,1]=>000010111=>[5,2,1,1,1] [7,8,4,1,9,5,2,10,6,3]=>011011011=>[2,1,2,1,2,1,1] [7,3,8,4,9,5,1,10,6,2]=>101011011=>[1,2,2,1,2,1,1] [6,7,8,3,9,4,1,10,5,2]=>001011011=>[3,2,1,2,1,1] [5,6,7,8,9,3,1,10,4,2]=>000011011=>[5,1,2,1,1] [6,7,2,8,3,9,4,10,5,1]=>010101011=>[2,2,2,2,1,1] [5,6,7,8,2,9,3,10,4,1]=>000101011=>[4,2,2,1,1] [4,5,6,7,8,9,2,10,3,1]=>000001011=>[6,2,1,1] [5,6,7,1,8,2,9,3,10,4]=>001010101=>[3,2,2,2,1] [4,5,6,7,8,1,9,2,10,3]=>000010101=>[5,2,2,1] [6,1,3,4,2,5,8,7]=>1001001=>[1,3,3,1] [5,1,3,6,2,4,8,7]=>1001001=>[1,3,3,1] [1,5,7,6,8,2,4,3]=>0010101=>[3,2,2,1] [5,7,1,3,8,4,2,6]=>0100110=>[2,3,1,2] [2,6,1,4,3,7,8,5]=>0101001=>[2,2,3,1] [1,6,2,4,3,5,8,7]=>0101001=>[2,2,3,1] [5,3,7,6,1,8,4,2]=>1011011=>[1,2,1,2,1,1] [1,5,6,3,7,8,4,2]=>0010011=>[3,3,1,1] [1,5,7,6,3,8,4,2]=>0011011=>[3,1,2,1,1] [7,3,5,6,1,8,4,2]=>1001011=>[1,3,2,1,1] [1,6,3,7,8,5,4,2]=>0100111=>[2,3,1,1,1] [1,7,8,6,3,5,4,2]=>0011011=>[3,1,2,1,1] [3,7,5,6,1,8,4,2]=>0101011=>[2,2,2,1,1] [5,6,2,8,4,7,3,1]=>0101011=>[2,2,2,1,1] [5,7,6,3,4,8,1,2]=>0110010=>[2,1,3,2] [3,7,5,4,6,1,2,8]=>0110100=>[2,1,2,3] [5,3,4,7,6,8,1,2]=>1001010=>[1,3,2,2] [5,3,7,4,6,1,2,8]=>1010100=>[1,2,2,3] [7,3,5,4,6,1,2,8]=>1010100=>[1,2,2,3] [7,8,3,5,4,1,2,6]=>0101100=>[2,2,1,3] [7,3,5,4,1,2,6,8]=>1011000=>[1,2,1,4] [5,7,6,3,4,1,2,8]=>0110100=>[2,1,2,3] [3,5,4,1,2,7,6,8]=>0110010=>[2,1,3,2] [5,7,6,1,3,2,4,8]=>0110100=>[2,1,2,3] [5,3,4,1,2,7,6,8]=>1010010=>[1,2,3,2] [7,8,3,1,2,5,4,6]=>0110010=>[2,1,3,2] [7,8,5,1,3,2,4,6]=>0110100=>[2,1,2,3] [7,5,6,1,3,2,4,8]=>1010100=>[1,2,2,3] [7,5,1,3,8,6,2,4]=>1100110=>[1,1,3,1,2] [7,1,3,8,2,5,4,6]=>1001010=>[1,3,2,2] [3,1,5,4,7,2,6,8]=>1010100=>[1,2,2,3] [5,7,6,1,3,8,2,4]=>0110010=>[2,1,3,2] [5,7,6,3,8,1,4,2]=>0110101=>[2,1,2,2,1] [5,1,3,7,6,2,4,8]=>1001100=>[1,3,1,3] [1,6,3,7,2,4,5,8]=>0101000=>[2,2,4] [5,3,2,4,8,1,7,6]=>1100101=>[1,1,3,2,1] [6,8,5,3,2,7,1,4]=>0111010=>[2,1,1,2,2] [8,3,7,2,6,5,1,4]=>1010110=>[1,2,2,1,2] [4,6,2,7,1,3,8,5]=>0101001=>[2,2,3,1] [3,4,6,5,1,8,7,2]=>0011011=>[3,1,2,1,1] [8,7,1,5,3,2,6,4]=>1101101=>[1,1,2,1,2,1] [3,5,1,4,7,2,8,6]=>0100101=>[2,3,2,1] [5,1,4,8,7,3,2,6]=>1001110=>[1,3,1,1,2] [6,1,3,4,2,7,8,5]=>1001001=>[1,3,3,1] [6,5,2,3,7,8,1,4]=>1100010=>[1,1,4,2] [1,5,3,8,4,2,7,6]=>0101101=>[2,2,1,2,1] [5,4,2,1,8,3,7,6]=>1110101=>[1,1,1,2,2,1] [3,1,7,4,2,6,8,5]=>1011001=>[1,2,1,3,1] [7,4,8,2,3,5,1,6]=>1010010=>[1,2,3,2] [8,4,1,3,2,6,7,5]=>1101001=>[1,1,2,3,1] [8,1,7,3,2,5,6,4]=>1011001=>[1,2,1,3,1] [8,6,5,2,7,3,1,4]=>1110110=>[1,1,1,2,1,2] [3,1,6,8,4,2,7,5]=>1001101=>[1,3,1,2,1] [1,5,2,8,3,6,7,4]=>0101001=>[2,2,3,1] [2,3,4,5,9,6,7,8,1]=>00001001=>[5,3,1] [2,3,4,9,5,6,7,8,1]=>00010001=>[4,4,1] [2,3,9,4,5,6,7,8,1]=>00100001=>[3,5,1] [2,3,4,5,6,7,10,8,9,1]=>000000101=>[7,2,1] [2,3,4,5,9,7,6,8,1]=>00001101=>[5,1,2,1] [2,3,4,5,6,10,7,8,9,1]=>000001001=>[6,3,1] [2,3,4,9,6,5,7,8,1]=>00011001=>[4,1,3,1] [2,3,9,5,4,6,7,8,1]=>00110001=>[3,1,4,1] [2,3,4,10,5,6,7,8,9,1]=>000100001=>[4,5,1] [2,9,4,3,5,6,7,8,1]=>01100001=>[2,1,5,1] [2,3,10,4,5,6,7,8,9,1]=>001000001=>[3,6,1] [2,3,4,5,9,7,8,6,1]=>00001011=>[5,2,1,1] [5,6,2,3,7,4,1,8]=>0100110=>[2,3,1,2] [6,2,4,7,3,5,1,8]=>1001010=>[1,3,2,2] [1,4,8,5,3,6,7,2]=>0011001=>[3,1,3,1] [2,5,6,3,1,8,4,7]=>0011010=>[3,1,2,2] [4,5,1,2,7,8,6,3]=>0100011=>[2,4,1,1] [4,8,5,1,2,6,7,3]=>0110001=>[2,1,4,1] [4,6,7,5,1,2,8,3]=>0011001=>[3,1,3,1] [7,2,8,1,4,5,3,6]=>1010010=>[1,2,3,2] [6,1,4,7,3,8,2,5]=>1001010=>[1,3,2,2] [7,1,6,3,4,8,2,5]=>1010010=>[1,2,3,2] [2,8,4,6,3,1,5,7]=>0101100=>[2,2,1,3] [8,2,6,3,5,1,4,7]=>1010100=>[1,2,2,3] [3,7,4,1,5,8,2,6]=>0110010=>[2,1,3,2] [3,8,4,1,7,2,5,6]=>0110100=>[2,1,2,3] [6,7,5,1,3,8,2,4]=>0110010=>[2,1,3,2] [8,5,1,3,6,7,2,4]=>1100010=>[1,1,4,2] [7,8,6,2,4,1,3,5]=>0110100=>[2,1,2,3] [8,2,4,1,3,6,7,5]=>1010001=>[1,2,4,1] [8,1,3,6,2,5,7,4]=>1001001=>[1,3,3,1] [1,5,6,3,8,4,7,2]=>0010101=>[3,2,2,1] [5,6,1,3,7,2,8,4]=>0100101=>[2,3,2,1] [5,6,1,8,2,3,7,4]=>0101001=>[2,2,3,1] [5,6,1,2,8,4,7,3]=>0100101=>[2,3,2,1] [3,7,8,1,6,4,2,5]=>0010110=>[3,2,1,2] [1,7,8,6,3,4,2,5]=>0011010=>[3,1,2,2] [1,7,3,8,6,4,2,5]=>0101110=>[2,2,1,1,2] [5,7,1,8,6,4,2,3]=>0101110=>[2,2,1,1,2] [7,8,1,5,6,4,2,3]=>0100110=>[2,3,1,2] [7,1,8,5,6,4,2,3]=>1010110=>[1,2,2,1,2] [7,1,5,8,6,4,2,3]=>1001110=>[1,3,1,1,2] [8,1,3,5,6,4,2,7]=>1000110=>[1,4,1,2] [1,3,8,5,6,4,2,7]=>0010110=>[3,2,1,2] [1,3,5,8,6,4,2,7]=>0001110=>[4,1,1,2] [1,5,7,8,6,4,2,3]=>0001110=>[4,1,1,2] [3,2,4,1,6,5,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [3,2,5,4,7,6,9,8,10,1]=>101010101=>[1,2,2,2,2,1] [3,2,5,4,7,6,9,8,11,10,12,1]=>10101010101=>[1,2,2,2,2,2,1] [1,8,2,6,5,3,4,7]=>0101100=>[2,2,1,3] [8,6,1,5,2,3,4,7]=>1101000=>[1,1,2,4] [8,5,1,6,2,3,4,7]=>1101000=>[1,1,2,4] [7,6,1,2,3,8,4,5]=>1100010=>[1,1,4,2] [2,7,8,4,1,3,5,6]=>0011000=>[3,1,4] [6,8,1,2,3,7,4,5]=>0100010=>[2,4,2] [8,1,3,5,6,7,2,4]=>1000010=>[1,5,2] [8,1,2,5,3,4,7,6]=>1001001=>[1,3,3,1] [5,2,7,3,4,8,1,6]=>1010010=>[1,2,3,2] [8,6,4,7,3,5,2,1]=>1101011=>[1,1,2,2,1,1] [4,2,1,6,5,7,8,3]=>1101001=>[1,1,2,3,1] [2,7,5,4,1,3,6,8]=>0111000=>[2,1,1,4] [2,7,4,6,5,1,8,3]=>0101101=>[2,2,1,2,1] [6,8,7,5,2,1,4,3]=>0111101=>[2,1,1,1,2,1] [2,8,6,3,5,1,4,7]=>0110100=>[2,1,2,3] [1,2,8,6,4,5,3,7]=>0011010=>[3,1,2,2] [1,5,8,7,6,3,4,2]=>0011101=>[3,1,1,2,1] [1,6,4,8,5,7,3,2]=>0101011=>[2,2,2,1,1] [1,6,8,5,2,7,3,4]=>0011010=>[3,1,2,2] [1,6,8,5,4,2,3,7]=>0011100=>[3,1,1,3] [2,1,8,3,4,5,6,7,9]=>10100000=>[1,2,6] [3,1,6,4,2,5,8,7]=>1011001=>[1,2,1,3,1] [5,4,2,3,6,8,1,7]=>1100010=>[1,1,4,2] [8,2,6,3,5,7,1,4]=>1010010=>[1,2,3,2] [3,1,7,8,6,2,5,4]=>1001101=>[1,3,1,2,1] [2,8,1,6,5,3,7,4]=>0101101=>[2,2,1,2,1] [2,1,5,7,6,3,8,4]=>1001101=>[1,3,1,2,1] [4,3,5,1,7,8,6,2]=>1010011=>[1,2,3,1,1] [1,8,5,2,3,4,7,6]=>0110001=>[2,1,4,1] [1,9,6,2,3,4,5,8,7]=>01100001=>[2,1,5,1] [1,5,8,2,3,4,7,6]=>0010001=>[3,4,1] [1,2,7,8,4,5,6,3]=>0001001=>[4,3,1] [1,2,3,4,5,6,9,7,10,8]=>000000101=>[7,2,1] [2,3,4,5,6,9,10,1,7,8]=>000000100=>[7,3] [4,3,8,7,6,2,5,1]=>1011101=>[1,2,1,1,2,1] [5,4,8,2,7,6,3,1]=>1010111=>[1,2,2,1,1,1] [2,3,6,1,7,5,8,4]=>0010101=>[3,2,2,1] [4,6,5,2,1,7,8,3]=>0111001=>[2,1,1,3,1] [4,6,1,7,5,8,3,2]=>0101011=>[2,2,2,1,1] [4,1,5,7,6,8,3,2]=>1001011=>[1,3,2,1,1] [3,5,6,2,1,4,7,8]=>0011000=>[3,1,4] [4,3,6,5,1,7,8,2]=>1011001=>[1,2,1,3,1] [4,6,5,3,1,7,8,2]=>0111001=>[2,1,1,3,1] [1,2,3,4,5,7,6,8,9,10]=>000001000=>[6,4] [1,2,3,5,4,6,7,8,9,10]=>000100000=>[4,6] [1,2,3,5,4,7,6,9,8,10]=>000101010=>[4,2,2,2] [5,8,1,4,2,3,6,7]=>0101000=>[2,2,4] [4,5,8,2,3,1,6,7]=>0010100=>[3,2,3] [3,5,4,8,1,7,2,6]=>0101010=>[2,2,2,2] [5,3,6,8,1,4,7,2]=>1001001=>[1,3,3,1] [3,5,1,8,6,4,7,2]=>0101101=>[2,2,1,2,1] [4,7,2,8,3,1,6,5]=>0101101=>[2,2,1,2,1] [1,2,5,6,8,3,7,4]=>0000101=>[5,2,1] [5,3,8,4,6,2,7,1]=>1010101=>[1,2,2,2,1] [7,4,8,1,5,2,6,3]=>1010101=>[1,2,2,2,1] [8,3,2,1,6,5,7,4]=>1110101=>[1,1,1,2,2,1] [4,1,5,6,8,7,2,3]=>1000110=>[1,4,1,2] [1,2,5,6,8,4,7,3]=>0000101=>[5,2,1] [1,5,6,8,4,7,2,3]=>0001010=>[4,2,2] [5,6,8,1,2,4,7,3]=>0010001=>[3,4,1] [6,8,1,4,5,7,2,3]=>0100010=>[2,4,2] [4,3,5,1,8,6,7,2]=>1010101=>[1,2,2,2,1] [1,3,5,6,8,4,7,2]=>0000101=>[5,2,1] [5,6,8,2,3,4,7,1]=>0010001=>[3,4,1] [9,8,7,4,5,6,3,2,1]=>11100111=>[1,1,1,3,1,1,1] [6,5,1,2,4,8,7,3]=>1100011=>[1,1,4,1,1] [5,8,7,2,1,3,6,4]=>0111001=>[2,1,1,3,1] [5,1,7,2,8,6,3,4]=>1010110=>[1,2,2,1,2] [6,1,5,3,4,8,7,2]=>1010011=>[1,2,3,1,1] [5,8,6,3,2,1,4,7]=>0111100=>[2,1,1,1,3] [8,7,1,6,3,5,4,2]=>1101011=>[1,1,2,2,1,1] [3,2,1,7,8,6,4,5]=>1100110=>[1,1,3,1,2] [8,6,7,1,2,5,3,4]=>1010010=>[1,2,3,2] [1,5,6,4,2,8,7,3]=>0011011=>[3,1,2,1,1] [7,5,1,4,8,2,3,6]=>1100100=>[1,1,3,3] [3,2,8,1,7,5,6,4]=>1010101=>[1,2,2,2,1] [8,4,3,1,7,5,6,2]=>1110101=>[1,1,1,2,2,1] [6,1,7,8,4,2,3,5]=>1001100=>[1,3,1,3] [7,4,3,1,8,5,2,6]=>1110110=>[1,1,1,2,1,2] [7,8,1,6,3,4,5,2]=>0101001=>[2,2,3,1] [6,8,1,7,3,4,2,5]=>0101010=>[2,2,2,2] [1,5,6,7,8,9,2,3,4]=>00000100=>[6,3] [1,8,9,10,2,3,4,5,6,7]=>000100000=>[4,6] [1,7,2,8,9,3,4,5,6]=>01001000=>[2,3,4] [1,6,2,7,8,9,3,4,5]=>01000100=>[2,4,3] [1,5,2,6,7,8,9,3,4]=>01000010=>[2,5,2] [1,5,6,7,8,9,10,2,3,4]=>000000100=>[7,3] [3,4,2,1,5,6,7,8,9]=>01100000=>[2,1,6] [4,3,1,2,5,6,7,8,9]=>11000000=>[1,1,7] [2,3,1,4,5,6,7,8,9,10,11]=>0100000000=>[2,9] [3,4,2,1,5,6,7,8,9,10]=>011000000=>[2,1,7] [4,5,2,1,3,6,7,8,9]=>01100000=>[2,1,6] [3,4,2,5,1,6,7,8,9]=>01010000=>[2,2,5] [5,3,1,2,4,6,7,8,9]=>11000000=>[1,1,7] [4,3,5,1,2,6,7,8,9]=>10100000=>[1,2,6] [4,3,1,2,5,6,7,8,9,10]=>110000000=>[1,1,8] [3,1,2,4,5,6,7,8,9,10,11]=>1000000000=>[1,10] [4,6,5,3,8,2,7,1]=>0110101=>[2,1,2,2,1] [4,5,6,3,8,1,7,2]=>0010101=>[3,2,2,1] [7,8,3,5,2,1,6,4]=>0101101=>[2,2,1,2,1] [6,3,7,5,2,4,1,8]=>1011010=>[1,2,1,2,2] [6,2,4,5,7,3,1,8]=>1000110=>[1,4,1,2] [7,8,1,5,6,4,3,2]=>0100111=>[2,3,1,1,1] [6,3,7,5,1,4,2,8]=>1011010=>[1,2,1,2,2] [1,3,8,2,4,6,7,5]=>0010001=>[3,4,1] [6,1,7,3,4,2,5,8]=>1010100=>[1,2,2,3] [3,1,7,2,5,8,6,4]=>1010011=>[1,2,3,1,1] [2,8,7,6,3,5,1,4]=>0111010=>[2,1,1,2,2] [2,8,7,1,5,6,4,3]=>0110011=>[2,1,3,1,1] [3,5,6,2,8,1,7,4]=>0010101=>[3,2,2,1] [5,3,1,8,6,2,7,4]=>1101101=>[1,1,2,1,2,1] [3,1,4,6,8,2,7,5]=>1000101=>[1,4,2,1] [4,1,5,7,3,8,2,6]=>1001010=>[1,3,2,2] [6,2,5,8,4,7,3,1]=>1001011=>[1,3,2,1,1] [7,2,8,5,4,3,6,1]=>1011101=>[1,2,1,1,2,1] [7,1,6,8,2,5,3,4]=>1001010=>[1,3,2,2] [2,6,5,7,8,4,1,3]=>0100110=>[2,3,1,2] [3,6,5,7,4,1,8,2]=>0101101=>[2,2,1,2,1] [1,6,5,7,4,2,3,8]=>0101100=>[2,2,1,3] [3,4,7,5,2,1,8,6]=>0011101=>[3,1,1,2,1] [3,6,7,5,8,4,1,2]=>0010110=>[3,2,1,2] [3,4,7,2,5,6,8,1]=>0010001=>[3,4,1] [2,5,3,7,8,6,4,1]=>0100111=>[2,3,1,1,1] [7,2,8,4,5,6,3,1]=>1010011=>[1,2,3,1,1] [6,2,3,8,5,4,7,1]=>1001101=>[1,3,1,2,1] [5,4,3,1,2,6,7,8,9]=>11100000=>[1,1,1,6] [6,5,4,3,1,2,7,8,9]=>11110000=>[1,1,1,1,5] [8,5,4,3,9,1,2,6,7]=>11101000=>[1,1,1,2,4] [6,5,4,3,1,2,7,8,9,10]=>111100000=>[1,1,1,1,6] [7,6,5,4,3,1,2,8,9,10]=>111110000=>[1,1,1,1,1,5] [9,6,5,4,3,10,1,2,7,8]=>111101000=>[1,1,1,1,2,4] [6,8,7,3,2,4,5,1]=>0111001=>[2,1,1,3,1] [3,8,6,1,4,5,7,2]=>0110001=>[2,1,4,1] [7,5,8,6,4,1,3,2]=>1011101=>[1,2,1,1,2,1] [2,7,6,3,8,5,1,4]=>0110110=>[2,1,2,1,2] [2,3,1,8,4,6,5,7]=>0101010=>[2,2,2,2] [2,3,1,7,6,8,4,5]=>0101010=>[2,2,2,2] [2,3,1,8,4,6,7,5]=>0101001=>[2,2,3,1] [6,2,3,4,5,1,9,7,8]=>10001010=>[1,4,2,2] [4,2,3,5,1,8,6,7]=>1001010=>[1,3,2,2] [2,3,4,5,9,7,1,8,6]=>00001101=>[5,1,2,1] [2,3,4,9,6,7,1,8,5]=>00010101=>[4,2,2,1] [2,3,9,5,6,1,7,8,4]=>00101001=>[3,2,3,1] [2,3,9,5,1,7,4,8,6]=>00110101=>[3,1,2,2,1] [2,3,4,5,6,7,10,9,1,8]=>000000110=>[7,1,2] [2,3,4,5,6,10,8,9,1,7]=>000001010=>[6,2,2] [2,3,4,5,6,10,8,1,9,7]=>000001101=>[6,1,2,1] [2,3,4,5,6,10,8,1,7,9]=>000001100=>[6,1,3] [2,3,4,5,6,10,1,7,8,9]=>000001000=>[6,4] [2,3,4,5,10,7,8,9,1,6]=>000010010=>[5,3,2] [2,3,4,5,10,7,8,1,9,6]=>000010101=>[5,2,2,1] [2,3,4,5,10,7,8,1,6,9]=>000010100=>[5,2,3] [2,3,4,5,10,7,1,9,6,8]=>000011010=>[5,1,2,2] [2,3,4,5,10,7,1,6,8,9]=>000011000=>[5,1,4] [2,3,4,5,10,1,6,7,8,9]=>000010000=>[5,5] [2,3,4,10,6,7,8,1,9,5]=>000100101=>[4,3,2,1] [2,3,4,10,6,7,8,1,5,9]=>000100100=>[4,3,3] [2,3,4,10,6,7,1,8,9,5]=>000101001=>[4,2,3,1] [2,3,4,10,6,7,1,9,5,8]=>000101010=>[4,2,2,2] [2,3,4,10,6,7,1,5,8,9]=>000101000=>[4,2,4] [2,3,4,10,6,1,8,5,9,7]=>000110101=>[4,1,2,2,1] [2,3,4,10,6,1,8,5,7,9]=>000110100=>[4,1,2,3] [2,3,4,10,6,1,5,7,8,9]=>000110000=>[4,1,5] [2,3,4,10,1,5,6,7,8,9]=>000100000=>[4,6] [2,3,10,5,6,1,8,9,4,7]=>001010010=>[3,2,3,2] [2,3,10,5,6,1,8,4,9,7]=>001010101=>[3,2,2,2,1] [2,3,10,5,6,1,8,4,7,9]=>001010100=>[3,2,2,3] [2,3,10,5,6,1,4,7,8,9]=>001010000=>[3,2,5] [2,3,10,5,1,7,4,9,6,8]=>001101010=>[3,1,2,2,2] [2,3,10,5,1,7,4,6,8,9]=>001101000=>[3,1,2,4] [2,3,10,5,1,4,6,7,8,9]=>001100000=>[3,1,6] [2,10,4,1,6,3,8,5,9,7]=>011010101=>[2,1,2,2,2,1] [2,10,4,1,6,3,8,5,7,9]=>011010100=>[2,1,2,2,3] [2,10,4,1,6,3,5,7,8,9]=>011010000=>[2,1,2,5] [2,10,4,1,3,5,6,7,8,9]=>011000000=>[2,1,7] [5,8,7,2,6,4,1,3]=>0110110=>[2,1,2,1,2] [6,8,5,1,7,4,3,2]=>0110111=>[2,1,2,1,1,1] [6,8,5,2,7,4,1,3]=>0110110=>[2,1,2,1,2] [7,3,8,6,5,2,1,4]=>1011110=>[1,2,1,1,1,2] [7,5,8,1,6,4,3,2]=>1010111=>[1,2,2,1,1,1] [7,5,8,2,6,4,1,3]=>1010110=>[1,2,2,1,2] [6,3,2,8,1,7,5,4]=>1101011=>[1,1,2,2,1,1] [2,1,3,4,5,6,8,7,9]=>10000010=>[1,6,2] [2,3,4,5,6,8,7,9,1]=>00000101=>[6,2,1] [2,6,8,7,1,3,5,4]=>0011001=>[3,1,3,1] [5,3,8,7,6,2,1,4]=>1011110=>[1,2,1,1,1,2] [3,7,6,1,4,5,2,8]=>0110010=>[2,1,3,2] [4,1,6,2,7,5,3,8]=>1010110=>[1,2,2,1,2] [7,6,2,5,3,1,4,8]=>1101100=>[1,1,2,1,3] [4,3,1,7,6,2,5,8]=>1101100=>[1,1,2,1,3] [4,5,3,1,2,8,6,7]=>0110010=>[2,1,3,2] [2,4,5,3,1,8,6,7]=>0011010=>[3,1,2,2] [5,7,6,2,3,1,4,8]=>0110100=>[2,1,2,3] [4,1,3,7,5,2,6,8]=>1001100=>[1,3,1,3] [4,1,6,3,2,7,5,8]=>1011010=>[1,2,1,2,2] [7,5,4,1,3,2,6,8]=>1110100=>[1,1,1,2,3] [2,4,8,5,6,3,1,7]=>0010110=>[3,2,1,2] [2,5,7,4,1,3,6,8]=>0011000=>[3,1,4] [5,7,4,1,3,2,6,8]=>0110100=>[2,1,2,3] [2,6,8,4,5,3,1,7]=>0010110=>[3,2,1,2] [5,2,3,7,4,1,6,8]=>1001100=>[1,3,1,3] [4,5,1,6,3,2,7,8]=>0101100=>[2,2,1,3] [5,1,6,3,2,4,7,8]=>1011000=>[1,2,1,4] [4,2,5,1,6,3,7,8]=>1010100=>[1,2,2,3] [5,1,6,2,4,3,7,8]=>1010100=>[1,2,2,3] [5,3,4,8,7,6,2,1]=>1001111=>[1,3,1,1,1,1] [8,3,1,6,7,5,4,2]=>1100111=>[1,1,3,1,1,1] [8,4,6,5,7,2,3,1]=>1010101=>[1,2,2,2,1] [1,8,2,6,7,4,5,3]=>0100101=>[2,3,2,1] [8,5,7,2,4,3,6,1]=>1010101=>[1,2,2,2,1] [8,5,3,6,4,7,2,1]=>1101011=>[1,1,2,2,1,1] [8,2,5,3,6,7,4,1]=>1010011=>[1,2,3,1,1] [1,2,8,3,4,7,6,5]=>0010011=>[3,3,1,1] [6,8,5,2,7,1,3,4]=>0110100=>[2,1,2,3] [7,6,4,5,2,1,8,3]=>1101101=>[1,1,2,1,2,1] [8,2,4,7,6,3,1,5]=>1001110=>[1,3,1,1,2] [7,3,8,5,4,2,1,6]=>1011110=>[1,2,1,1,1,2] [6,3,4,7,2,8,5,1]=>1001011=>[1,3,2,1,1] [8,1,7,3,6,4,2,5]=>1010110=>[1,2,2,1,2] [7,1,8,5,3,4,2,6]=>1011010=>[1,2,1,2,2] [6,8,4,3,1,5,2,7]=>0111010=>[2,1,1,2,2] [1,4,5,8,3,2,6,7]=>0001100=>[4,1,3] [1,5,2,4,7,8,6,3]=>0100011=>[2,4,1,1] [5,2,7,4,3,8,6,1]=>1011011=>[1,2,1,2,1,1] [2,7,3,4,8,5,6,1]=>0100101=>[2,3,2,1] [2,7,6,8,3,5,4,1]=>0101011=>[2,2,2,1,1] [2,7,4,5,3,8,6,1]=>0101011=>[2,2,2,1,1] [6,2,3,7,4,5,8,1]=>1001001=>[1,3,3,1] [1,6,3,2,7,5,8,4]=>0110101=>[2,1,2,2,1] [7,3,5,2,6,8,1,4]=>1010010=>[1,2,3,2] [6,4,2,7,1,5,8,3]=>1101001=>[1,1,2,3,1] [2,5,3,6,4,7,8,1]=>0101001=>[2,2,3,1] [4,2,5,3,6,7,8,1]=>1010001=>[1,2,4,1] [1,6,5,2,4,7,3,8]=>0110010=>[2,1,3,2] [1,8,7,2,4,6,3,5]=>0110010=>[2,1,3,2] [1,8,7,2,5,4,3,6]=>0110110=>[2,1,2,1,2] [1,5,4,2,7,3,6,8]=>0110100=>[2,1,2,3] [1,5,4,2,8,7,3,6]=>0110110=>[2,1,2,1,2] [1,6,8,3,5,2,4,7]=>0010100=>[3,2,3] [1,7,6,2,3,5,8,4]=>0110001=>[2,1,4,1] [1,2,8,3,6,5,4,7]=>0010110=>[3,2,1,2] [1,3,8,6,5,2,4,7]=>0011100=>[3,1,1,3] [1,4,7,3,2,8,6,5]=>0011011=>[3,1,2,1,1] [1,8,6,5,2,4,7,3]=>0111001=>[2,1,1,3,1] [1,6,8,4,3,2,5,7]=>0011100=>[3,1,1,3] [1,7,5,3,2,6,4,8]=>0111010=>[2,1,1,2,2] [1,2,6,5,3,8,4,7]=>0011010=>[3,1,2,2] [1,7,3,2,8,4,6,5]=>0110101=>[2,1,2,2,1] [1,6,5,2,8,4,7,3]=>0110101=>[2,1,2,2,1] [1,8,3,7,2,4,6,5]=>0101001=>[2,2,3,1] [5,4,2,8,7,6,1,3]=>1101110=>[1,1,2,1,1,2] [8,6,3,2,5,7,4,1]=>1110011=>[1,1,1,3,1,1] [7,3,2,1,6,5,8,4]=>1110101=>[1,1,1,2,2,1] [7,3,2,6,1,5,8,4]=>1101001=>[1,1,2,3,1] [6,8,5,2,7,1,4,3]=>0110101=>[2,1,2,2,1] [6,8,2,5,1,7,4,3]=>0101011=>[2,2,2,1,1] [6,8,5,7,2,1,4,3]=>0101101=>[2,2,1,2,1] [6,5,8,2,7,4,1,3]=>1010110=>[1,2,2,1,2] [6,2,1,7,5,8,4,3]=>1101011=>[1,1,2,2,1,1] [1,6,4,8,5,3,7,2]=>0101101=>[2,2,1,2,1] [1,6,5,3,4,7,8,2]=>0110001=>[2,1,4,1] [4,2,6,7,8,1,3,5]=>1000100=>[1,4,3] [4,6,5,1,3,7,8,2]=>0110001=>[2,1,4,1] [5,1,7,2,6,4,8,3]=>1010101=>[1,2,2,2,1] [4,1,7,6,5,8,2,3]=>1011010=>[1,2,1,2,2] [5,2,1,7,6,4,8,3]=>1101101=>[1,1,2,1,2,1] [4,2,3,6,7,8,1,5]=>1000010=>[1,5,2] [4,7,2,1,6,5,8,3]=>0110101=>[2,1,2,2,1] [2,7,6,4,1,5,8,3]=>0111001=>[2,1,1,3,1] [2,4,3,6,7,8,1,5]=>0100010=>[2,4,2] [6,8,5,2,7,3,1,4]=>0110110=>[2,1,2,1,2] [7,5,2,4,1,8,3,6]=>1101010=>[1,1,2,2,2] [6,5,1,3,7,8,2,4]=>1100010=>[1,1,4,2] [7,2,1,4,3,5,8,6]=>1101001=>[1,1,2,3,1] [6,1,2,4,3,7,8,5]=>1001001=>[1,3,3,1] [8,1,5,4,2,3,6,7]=>1011000=>[1,2,1,4] [7,1,2,4,6,3,8,5]=>1000101=>[1,4,2,1] [7,1,2,6,5,3,8,4]=>1001101=>[1,3,1,2,1] [7,5,6,1,2,4,8,3]=>1010001=>[1,2,4,1] [7,1,4,5,2,3,6,8]=>1001000=>[1,3,4] [6,1,4,8,7,2,3,5]=>1001100=>[1,3,1,3] [6,1,8,5,7,2,3,4]=>1010100=>[1,2,2,3] [1,6,7,5,8,3,4,2]=>0010101=>[3,2,2,1] [6,1,7,5,8,2,3,4]=>1010100=>[1,2,2,3] [6,1,4,7,8,2,3,5]=>1000100=>[1,4,3] [8,1,2,3,7,5,4,6]=>1000110=>[1,4,1,2] [5,8,6,1,2,4,7,3]=>0110001=>[2,1,4,1] [1,6,8,7,5,3,4,2]=>0011101=>[3,1,1,2,1] [6,1,8,7,5,2,3,4]=>1011100=>[1,2,1,1,3] [8,3,1,2,4,6,5,7]=>1100010=>[1,1,4,2] [8,3,1,2,4,5,7,6]=>1100001=>[1,1,5,1] [6,3,1,2,4,7,5,8]=>1100010=>[1,1,4,2] [6,7,1,4,2,3,5,8]=>0101000=>[2,2,4] [6,1,7,4,8,2,3,5]=>1010100=>[1,2,2,3] [6,7,8,5,1,2,4,3]=>0011001=>[3,1,3,1] [8,6,5,4,3,2,7,9,1]=>11111001=>[1,1,1,1,1,3,1] [8,9,5,4,3,2,1,6,7]=>01111100=>[2,1,1,1,1,3] [7,6,5,4,3,8,9,1,2]=>11110010=>[1,1,1,1,3,2] [9,6,5,4,3,2,7,1,8]=>11111010=>[1,1,1,1,1,2,2] [8,7,6,5,4,3,2,9,1,10]=>111111010=>[1,1,1,1,1,1,2,2] [9,2,3,4,5,6,1,7,8]=>10000100=>[1,5,3] [3,1,5,6,7,8,9,2,4]=>10000010=>[1,6,2] [2,1,3,5,6,7,8,9,4]=>10000001=>[1,7,1] [4,3,8,5,6,2,7,1]=>1010101=>[1,2,2,2,1] [4,3,8,6,7,2,5,1]=>1010101=>[1,2,2,2,1] [7,6,8,1,5,3,4,2]=>1010101=>[1,2,2,2,1] [7,4,6,1,5,3,8,2]=>1010101=>[1,2,2,2,1] [6,3,8,1,7,2,5,4]=>1010101=>[1,2,2,2,1] [6,1,5,4,8,2,7,3]=>1010101=>[1,2,2,2,1] [6,2,5,4,7,1,8,3]=>1010101=>[1,2,2,2,1] [2,6,3,4,8,7,5,1]=>0100111=>[2,3,1,1,1] [2,7,4,5,1,8,3,6]=>0101010=>[2,2,2,2] [8,4,5,7,6,1,2,3]=>1001100=>[1,3,1,3] [8,4,5,7,1,3,6,2]=>1001001=>[1,3,3,1] [8,1,3,4,6,7,5,2]=>1000011=>[1,5,1,1] [8,7,6,2,3,5,4,1]=>1110011=>[1,1,1,3,1,1] [8,3,6,7,5,1,2,4]=>1001100=>[1,3,1,3] [8,2,1,6,5,7,4,3]=>1101011=>[1,1,2,2,1,1] [2,7,1,8,5,6,4,3]=>0101011=>[2,2,2,1,1] [2,7,8,6,1,5,3,4]=>0011010=>[3,1,2,2] [4,6,8,2,3,5,1,7]=>0010010=>[3,3,2] [6,8,2,1,3,5,4,7]=>0110010=>[2,1,3,2] [3,5,1,6,4,8,2,7]=>0101010=>[2,2,2,2] [3,5,8,6,2,1,4,7]=>0011100=>[3,1,1,3] [2,4,8,5,6,1,3,7]=>0010100=>[3,2,3] [4,8,2,5,6,1,3,7]=>0100100=>[2,3,3] [5,3,8,4,2,7,6,1]=>1011011=>[1,2,1,2,1,1] [2,8,5,3,1,4,7,6]=>0111001=>[2,1,1,3,1] [1,7,8,4,6,3,2,5]=>0010110=>[3,2,1,2] [8,7,2,4,6,3,1,5]=>1100110=>[1,1,3,1,2] [8,7,3,2,1,6,4,5]=>1111010=>[1,1,1,1,2,2] [7,8,3,4,6,5,2,1]=>0100111=>[2,3,1,1,1] [8,7,3,6,5,2,4,1]=>1101101=>[1,1,2,1,2,1] [3,1,2,8,6,5,7,4]=>1001101=>[1,3,1,2,1] [3,8,2,7,5,4,6,1]=>0101101=>[2,2,1,2,1] [8,7,1,4,5,3,6,2]=>1100101=>[1,1,3,2,1] [2,8,7,4,6,3,5,1]=>0110101=>[2,1,2,2,1] [2,8,7,4,6,3,1,5]=>0110110=>[2,1,2,1,2] [8,3,4,1,2,5,7,6]=>1010001=>[1,2,4,1] [8,4,1,3,2,5,7,6]=>1101001=>[1,1,2,3,1] [7,3,8,6,2,1,4,5]=>1011100=>[1,2,1,1,3] [7,2,8,4,6,5,1,3]=>1010110=>[1,2,2,1,2] [5,8,6,4,7,2,3,1]=>0110101=>[2,1,2,2,1] [4,7,2,6,5,8,3,1]=>0101011=>[2,2,2,1,1] [3,6,8,5,7,4,2,1]=>0010111=>[3,2,1,1,1] [6,7,5,2,4,8,3,1]=>0110011=>[2,1,3,1,1] [8,1,2,7,5,6,3,4]=>1001010=>[1,3,2,2] [8,2,7,3,4,6,1,5]=>1010010=>[1,2,3,2] [6,7,5,4,8,1,3,2]=>0110101=>[2,1,2,2,1] [8,3,5,6,4,7,2,1]=>1001011=>[1,3,2,1,1] [8,5,6,2,4,3,7,1]=>1010101=>[1,2,2,2,1] [6,5,8,1,3,4,2,7]=>1010010=>[1,2,3,2] [6,8,4,5,1,3,2,7]=>0101010=>[2,2,2,2] [6,4,8,7,5,3,2,1]=>1011111=>[1,2,1,1,1,1,1] [6,7,1,4,3,2,8,5]=>0101101=>[2,2,1,2,1] [7,2,5,1,4,8,3,6]=>1010010=>[1,2,3,2] [5,8,1,3,4,2,7,6]=>0100101=>[2,3,2,1] [1,5,6,3,2,8,7,4]=>0011011=>[3,1,2,1,1] [1,3,7,6,8,4,2,5]=>0010110=>[3,2,1,2] [1,6,7,3,2,8,5,4]=>0011011=>[3,1,2,1,1] [3,2,7,6,8,4,5,1]=>1010101=>[1,2,2,2,1] [1,3,8,5,2,7,6,4]=>0011011=>[3,1,2,1,1] [6,4,1,5,2,8,7,3]=>1101011=>[1,1,2,2,1,1] [7,6,5,3,1,8,2,4]=>1111010=>[1,1,1,1,2,2] [2,5,1,4,7,3,6,8]=>0100100=>[2,3,3] [3,1,6,5,7,2,4,8]=>1010100=>[1,2,2,3] [2,6,1,5,7,4,8,3]=>0100101=>[2,3,2,1] [2,5,7,1,6,3,8,4]=>0010101=>[3,2,2,1] [2,6,1,5,7,4,3,8]=>0100110=>[2,3,1,2] [3,1,6,5,2,4,7,8]=>1011000=>[1,2,1,4] [3,6,5,1,4,2,7,8]=>0110100=>[2,1,2,3] [3,6,5,1,7,2,4,8]=>0110100=>[2,1,2,3] [3,6,5,2,1,4,7,8]=>0111000=>[2,1,1,4] [5,4,3,6,1,7,2,8]=>1101010=>[1,1,2,2,2] [4,5,2,7,6,1,3,8]=>0101100=>[2,2,1,3] [4,6,5,3,1,2,7,8]=>0111000=>[2,1,1,4] [5,4,1,6,3,7,2,8]=>1101010=>[1,1,2,2,2] [5,4,2,6,3,7,8,1]=>1101001=>[1,1,2,3,1] [3,6,5,7,1,4,2,8]=>0101010=>[2,2,2,2] [3,6,5,1,4,7,2,8]=>0110010=>[2,1,3,2] [4,3,6,5,7,1,2,8]=>1010100=>[1,2,2,3] [4,2,6,5,1,3,7,8]=>1011000=>[1,2,1,4] [4,1,6,5,3,7,8,2]=>1011001=>[1,2,1,3,1] [4,2,5,7,6,1,3,8]=>1001100=>[1,3,1,3] [3,4,7,6,1,2,5,8]=>0011000=>[3,1,4] [4,2,5,7,6,3,8,1]=>1001101=>[1,3,1,2,1] [4,1,6,5,2,7,3,8]=>1011010=>[1,2,1,2,2] [3,6,5,7,2,1,4,8]=>0101100=>[2,2,1,3] [3,5,7,6,2,4,1,8]=>0011010=>[3,1,2,2] [5,4,2,6,3,7,1,8]=>1101010=>[1,1,2,2,2] [4,6,5,2,7,3,1,8]=>0110110=>[2,1,2,1,2] [4,6,5,2,1,7,3,8]=>0111010=>[2,1,1,2,2] [3,5,8,2,1,4,6,7]=>0011000=>[3,1,4] [3,5,8,2,4,6,7,1]=>0010001=>[3,4,1] [5,3,8,2,1,4,6,7]=>1011000=>[1,2,1,4] [5,3,1,8,2,4,6,7]=>1101000=>[1,1,2,4] [5,1,3,8,2,4,6,7]=>1001000=>[1,3,4] [1,5,8,4,2,3,6,7]=>0011000=>[3,1,4] [5,8,2,1,4,3,6,7]=>0110100=>[2,1,2,3] [5,8,2,4,1,6,7,3]=>0101001=>[2,2,3,1] [5,8,2,4,6,3,1,7]=>0100110=>[2,3,1,2] [5,8,2,4,3,6,1,7]=>0101010=>[2,2,2,2] [5,8,1,4,6,2,3,7]=>0100100=>[2,3,3] [1,5,8,4,6,7,2,3]=>0010010=>[3,3,2] [5,1,8,4,6,7,2,3]=>1010010=>[1,2,3,2] [5,8,2,4,6,3,7,1]=>0100101=>[2,3,2,1] [3,8,4,6,7,2,1,5]=>0100110=>[2,3,1,2] [3,8,4,6,7,2,5,1]=>0100101=>[2,3,2,1] [8,4,3,6,7,2,5,1]=>1100101=>[1,1,3,2,1] [8,4,3,6,7,2,1,5]=>1100110=>[1,1,3,1,2] [8,6,2,4,5,3,7,1]=>1100101=>[1,1,3,2,1] [1,8,6,4,5,7,2,3]=>0110010=>[2,1,3,2] [8,6,2,4,5,3,1,7]=>1100110=>[1,1,3,1,2] [1,8,6,4,2,3,5,7]=>0111000=>[2,1,1,4] [3,8,1,6,2,4,5,7]=>0101000=>[2,2,4] [3,8,6,2,1,4,5,7]=>0111000=>[2,1,1,4] [3,8,6,2,4,1,5,7]=>0110100=>[2,1,2,3] [3,8,6,2,4,5,7,1]=>0110001=>[2,1,4,1] [8,3,6,2,4,5,1,7]=>1010010=>[1,2,3,2] [8,1,3,6,2,4,5,7]=>1001000=>[1,3,4] [8,3,6,7,2,1,4,5]=>1001100=>[1,3,1,3] [3,8,6,7,2,1,4,5]=>0101100=>[2,2,1,3] [8,2,6,4,5,1,7,3]=>1010101=>[1,2,2,2,1] [1,8,4,6,7,5,2,3]=>0100110=>[2,3,1,2] [8,4,6,2,3,7,5,1]=>1010011=>[1,2,3,1,1] [8,4,7,2,1,3,6,5]=>1011001=>[1,2,1,3,1] [2,7,1,6,3,5,8,4]=>0101001=>[2,2,3,1] [8,4,2,1,5,3,7,6]=>1110101=>[1,1,1,2,2,1] [8,2,1,4,7,3,6,5]=>1100101=>[1,1,3,2,1] [1,6,2,5,8,4,7,3]=>0100101=>[2,3,2,1] [3,2,1,7,4,5,8,6]=>1101001=>[1,1,2,3,1] [2,6,8,5,1,7,4,3]=>0011011=>[3,1,2,1,1] [2,1,5,8,7,3,6,4]=>1001101=>[1,3,1,2,1] [3,2,1,6,7,4,8,5]=>1100101=>[1,1,3,2,1] [4,3,1,7,8,5,2,6]=>1100110=>[1,1,3,1,2] [5,6,8,2,4,3,7,1]=>0010101=>[3,2,2,1] [2,8,5,3,6,4,7,1]=>0110101=>[2,1,2,2,1] [1,2,8,6,4,7,3,5]=>0011010=>[3,1,2,2] [5,3,2,7,8,6,4,1]=>1100111=>[1,1,3,1,1,1] [4,2,7,8,3,5,6,1]=>1001001=>[1,3,3,1] [2,8,3,7,1,4,6,5]=>0101001=>[2,2,3,1] [2,8,7,1,5,3,6,4]=>0110101=>[2,1,2,2,1] [7,3,5,6,4,2,8,1]=>1001101=>[1,3,1,2,1] [3,8,4,2,7,6,5,1]=>0110111=>[2,1,2,1,1,1] [4,8,3,2,7,5,6,1]=>0110101=>[2,1,2,2,1] [3,2,4,8,7,5,6,1]=>1001101=>[1,3,1,2,1] [2,6,8,1,5,3,4,7]=>0010100=>[3,2,3] [3,2,5,6,8,1,4,7]=>1000100=>[1,4,3] [3,8,1,6,4,5,2,7]=>0101010=>[2,2,2,2] [8,1,3,6,5,4,2,7]=>1001110=>[1,3,1,1,2] [7,4,3,6,2,1,8,5]=>1101101=>[1,1,2,1,2,1] [1,2,4,8,6,3,7,5]=>0001101=>[4,1,2,1] [7,2,1,5,3,4,8,6]=>1101001=>[1,1,2,3,1] [5,7,2,3,1,4,8,6]=>0101001=>[2,2,3,1] [7,1,5,2,4,6,8,3]=>1010001=>[1,2,4,1] [8,4,2,7,3,5,6,1]=>1101001=>[1,1,2,3,1] [1,8,6,4,7,5,3,2]=>0110111=>[2,1,2,1,1,1] [7,4,1,5,8,6,3,2]=>1100111=>[1,1,3,1,1,1] [4,5,8,7,3,1,2,6]=>0011100=>[3,1,1,3] [1,3,8,7,6,4,2,5]=>0011110=>[3,1,1,1,2] [2,8,5,1,7,4,6,3]=>0110101=>[2,1,2,2,1] [1,8,6,4,7,5,2,3]=>0110110=>[2,1,2,1,2] [2,7,4,6,3,8,5,1]=>0101011=>[2,2,2,1,1] [1,2,8,6,4,7,5,3]=>0011011=>[3,1,2,1,1] [3,4,5,7,8,9,1,2,6]=>00000100=>[6,3] [3,5,6,7,8,9,1,2,4]=>00000100=>[6,3] [3,4,5,6,8,9,10,1,2,7]=>000000100=>[7,3] [3,5,6,7,8,9,10,1,2,4]=>000000100=>[7,3] [3,4,5,6,7,8,9,10,1,2,11]=>0000000100=>[8,3] [3,4,5,6,7,8,1,2,9,10]=>000001000=>[6,4] [3,4,5,6,9,1,2,7,8]=>00001000=>[5,4] [3,4,5,6,1,2,7,8,9]=>00010000=>[4,5] [3,4,5,6,7,9,10,11,1,2,8]=>0000000100=>[8,3] [5,1,6,7,8,9,2,3,4]=>10000100=>[1,5,3] [3,4,6,7,8,9,10,11,1,2,5]=>0000000100=>[8,3] [4,1,8,6,3,7,5,2]=>1011011=>[1,2,1,2,1,1] [8,4,3,1,6,2,5,7]=>1110100=>[1,1,1,2,3] [7,5,4,3,8,1,6,2]=>1110101=>[1,1,1,2,2,1] [5,3,1,6,2,8,7,4]=>1101011=>[1,1,2,2,1,1] [3,5,4,1,7,8,2,6]=>0110010=>[2,1,3,2] [6,4,2,1,5,7,3,8]=>1110010=>[1,1,1,3,2] [3,1,5,8,7,2,4,6]=>1001100=>[1,3,1,3] [3,2,5,7,8,4,6,1]=>1000101=>[1,4,2,1] [5,3,7,4,2,6,8,1]=>1011001=>[1,2,1,3,1] [5,3,7,4,2,6,1,8]=>1011010=>[1,2,1,2,2] [5,3,8,4,2,1,6,7]=>1011100=>[1,2,1,1,3] [5,2,8,4,3,1,6,7]=>1011100=>[1,2,1,1,3] [5,1,8,4,3,2,6,7]=>1011100=>[1,2,1,1,3] [5,2,7,4,3,6,1,8]=>1011010=>[1,2,1,2,2] [5,2,7,4,3,6,8,1]=>1011001=>[1,2,1,3,1] [5,3,7,4,1,6,8,2]=>1011001=>[1,2,1,3,1] [3,1,5,7,8,4,6,2]=>1000101=>[1,4,2,1] [3,1,5,7,8,4,2,6]=>1000110=>[1,4,1,2] [5,2,7,4,1,3,8,6]=>1011001=>[1,2,1,3,1] [6,2,3,7,4,8,5,1]=>1001011=>[1,3,2,1,1] [6,2,3,7,4,8,1,5]=>1001010=>[1,3,2,2] [6,2,3,7,4,5,1,8]=>1001010=>[1,3,2,2] [6,1,3,7,4,5,8,2]=>1001001=>[1,3,3,1] [1,2,8,6,4,3,5,7]=>0011100=>[3,1,1,3] [6,1,3,7,4,5,2,8]=>1001010=>[1,3,2,2] [1,8,6,3,5,4,2,7]=>0110110=>[2,1,2,1,2] [2,6,1,8,5,3,4,7]=>0101100=>[2,2,1,3] [4,5,7,8,1,6,3,2]=>0001011=>[4,2,1,1] [2,5,7,8,4,6,3,1]=>0001011=>[4,2,1,1] [1,8,2,7,5,3,4,6]=>0101100=>[2,2,1,3] [2,5,4,1,8,6,7,3]=>0110101=>[2,1,2,2,1] [7,3,5,1,4,8,6,2]=>1010011=>[1,2,3,1,1] [7,1,3,2,4,5,6,8]=>1010000=>[1,2,5] [3,8,7,1,4,2,5,6]=>0110100=>[2,1,2,3] [5,1,7,8,2,4,3,6]=>1001010=>[1,3,2,2] [8,5,4,6,1,7,3,2]=>1101011=>[1,1,2,2,1,1] [5,3,2,1,4,6,8,7]=>1110001=>[1,1,1,4,1] [5,3,2,4,8,1,6,7]=>1100100=>[1,1,3,3] [5,3,2,4,7,1,8,6]=>1100101=>[1,1,3,2,1] [4,8,1,7,3,5,6,2]=>0101001=>[2,2,3,1] [5,3,2,4,6,8,1,7]=>1100010=>[1,1,4,2] [1,2,4,3,5,7,8,9,6]=>00100001=>[3,5,1] [2,7,6,3,1,4,8,5]=>0111001=>[2,1,1,3,1] [3,7,4,5,6,8,2,1]=>0100011=>[2,4,1,1] [8,7,1,4,2,5,3,6]=>1101010=>[1,1,2,2,2] [4,6,8,3,7,1,5,2]=>0010101=>[3,2,2,1] [4,7,3,5,8,1,6,2]=>0100101=>[2,3,2,1] [8,4,3,5,7,1,6,2]=>1100101=>[1,1,3,2,1] [1,7,6,4,2,5,3,8]=>0111010=>[2,1,1,2,2] [7,6,4,2,8,3,1,5]=>1110110=>[1,1,1,2,1,2] [8,5,2,4,3,7,1,6]=>1101010=>[1,1,2,2,2] [8,5,1,4,3,7,6,2]=>1101011=>[1,1,2,2,1,1] [7,5,4,1,3,6,8,2]=>1110001=>[1,1,1,4,1] [3,6,7,2,5,1,8,4]=>0010101=>[3,2,2,1] [2,6,5,7,1,4,8,3]=>0101001=>[2,2,3,1] [3,5,1,7,8,4,6,2]=>0100101=>[2,3,2,1] [1,5,2,4,6,8,7,3]=>0100011=>[2,4,1,1] [8,1,2,4,7,6,5,3]=>1000111=>[1,4,1,1,1] [3,4,1,8,6,7,5,2]=>0101011=>[2,2,2,1,1] [4,3,8,5,1,7,6,2]=>1011011=>[1,2,1,2,1,1] [6,1,3,2,8,5,7,4]=>1010101=>[1,2,2,2,1] [3,1,2,4,5,6,7,9,8]=>10000001=>[1,7,1] [8,5,3,2,4,7,1,6]=>1110010=>[1,1,1,3,2] [6,7,4,2,5,8,3,1]=>0110011=>[2,1,3,1,1] [8,5,4,2,6,3,1,7]=>1110110=>[1,1,1,2,1,2] [8,5,2,1,6,4,3,7]=>1110110=>[1,1,1,2,1,2] [8,4,6,5,1,3,2,7]=>1011010=>[1,2,1,2,2] [1,3,8,4,7,5,2,6]=>0010110=>[3,2,1,2] [5,3,7,1,4,6,8,2]=>1010001=>[1,2,4,1] [5,7,2,6,1,4,8,3]=>0101001=>[2,2,3,1] [3,8,5,7,6,1,2,4]=>0101100=>[2,2,1,3] [8,4,7,5,2,1,3,6]=>1011100=>[1,2,1,1,3] [3,8,6,4,7,2,1,5]=>0110110=>[2,1,2,1,2] [5,2,7,4,6,8,3,1]=>1010011=>[1,2,3,1,1] [4,8,6,3,7,2,1,5]=>0110110=>[2,1,2,1,2] [2,8,3,1,7,6,4,5]=>0110110=>[2,1,2,1,2] [2,5,6,4,8,1,7,3]=>0010101=>[3,2,2,1] [5,7,2,1,6,8,3,4]=>0110010=>[2,1,3,2] [4,7,8,5,1,6,2,3]=>0011010=>[3,1,2,2] [4,5,2,1,6,7,8,3]=>0110001=>[2,1,4,1] [4,5,6,3,1,7,8,2]=>0011001=>[3,1,3,1] [3,5,6,7,4,1,8,2]=>0001101=>[4,1,2,1] [3,5,1,4,2,8,7,6]=>0101011=>[2,2,2,1,1] [3,5,1,4,2,6,8,7]=>0101001=>[2,2,3,1] [3,5,1,4,2,6,7,8]=>0101000=>[2,2,4] [1,3,8,4,6,2,5,7]=>0010100=>[3,2,3] [1,8,4,2,3,7,5,6]=>0110010=>[2,1,3,2] [1,4,8,3,2,7,6,5]=>0011011=>[3,1,2,1,1] [1,3,7,6,5,2,4,8]=>0011100=>[3,1,1,3] [1,2,8,6,7,5,4,3]=>0010111=>[3,2,1,1,1] [1,7,5,4,3,2,6,8]=>0111100=>[2,1,1,1,3] [8,9,10,1,5,6,7,3,4,2]=>001000101=>[3,4,2,1] [8,9,10,5,6,7,1,3,4,2]=>001001001=>[3,3,3,1] [8,9,10,1,5,6,3,4,7,2]=>001001001=>[3,3,3,1] [8,9,10,5,6,1,3,4,7,2]=>001010001=>[3,2,4,1] [8,9,10,5,6,3,4,7,1,2]=>001010010=>[3,2,3,2] [8,9,5,6,10,1,3,4,7,2]=>010010001=>[2,3,4,1] [8,9,5,6,10,3,4,7,1,2]=>010010010=>[2,3,3,2] [8,9,10,1,5,6,7,3,2,4]=>001000110=>[3,4,1,2] [8,9,10,5,6,7,1,3,2,4]=>001001010=>[3,3,2,2] [8,9,10,1,5,6,3,7,2,4]=>001001010=>[3,3,2,2] [8,9,10,5,6,1,3,7,2,4]=>001010010=>[3,2,3,2] [8,9,10,5,6,3,7,1,2,4]=>001010100=>[3,2,2,3] [8,9,5,6,10,1,3,7,2,4]=>010010010=>[2,3,3,2] [8,9,5,6,10,3,7,1,2,4]=>010010100=>[2,3,2,3] [8,9,10,1,5,6,3,2,4,7]=>001001100=>[3,3,1,3] [8,9,10,5,6,1,3,2,4,7]=>001010100=>[3,2,2,3] [8,9,10,5,6,3,1,2,4,7]=>001011000=>[3,2,1,4] [8,9,10,5,6,3,2,4,7,1]=>001011001=>[3,2,1,3,1] [8,9,5,6,10,1,3,2,4,7]=>010010100=>[2,3,2,3] [8,9,5,6,10,3,1,2,4,7]=>010011000=>[2,3,1,4] [8,9,5,6,10,3,2,4,7,1]=>010011001=>[2,3,1,3,1] [8,9,10,1,5,3,6,7,2,4]=>001010010=>[3,2,3,2] [8,9,10,5,1,3,6,7,2,4]=>001100010=>[3,1,4,2] [8,9,10,5,3,6,7,1,2,4]=>001100100=>[3,1,3,3] [8,9,5,10,1,3,6,7,2,4]=>010100010=>[2,2,4,2] [8,9,5,10,3,6,7,1,2,4]=>010100100=>[2,2,3,3] [8,9,10,1,5,3,6,2,4,7]=>001010100=>[3,2,2,3] [8,9,10,5,1,3,6,2,4,7]=>001100100=>[3,1,3,3] [8,9,10,5,3,6,1,2,4,7]=>001101000=>[3,1,2,4] [8,9,10,5,3,6,2,4,7,1]=>001101001=>[3,1,2,3,1] [8,9,5,10,1,3,6,2,4,7]=>010100100=>[2,2,3,3] [8,9,5,10,3,6,1,2,4,7]=>010101000=>[2,2,2,4] [8,9,5,10,3,6,2,4,7,1]=>010101001=>[2,2,2,3,1] [8,9,5,3,6,10,1,2,4,7]=>011001000=>[2,1,3,4] [8,9,5,3,6,10,2,4,7,1]=>011001001=>[2,1,3,3,1] [8,5,9,10,1,3,6,7,2,4]=>100100010=>[1,3,4,2] [8,5,9,10,3,6,7,1,2,4]=>100100100=>[1,3,3,3] [8,5,9,10,1,3,6,2,4,7]=>100100100=>[1,3,3,3] [8,5,9,10,3,6,1,2,4,7]=>100101000=>[1,3,2,4] [8,5,9,10,3,6,2,4,7,1]=>100101001=>[1,3,2,3,1] [3,8,5,7,4,6,2,1]=>0101011=>[2,2,2,1,1] [7,6,3,2,5,1,8,4]=>1110101=>[1,1,1,2,2,1] [4,2,5,7,8,6,3,1]=>1000111=>[1,4,1,1,1] [6,7,2,4,5,1,8,3]=>0100101=>[2,3,2,1] [5,2,7,8,3,6,1,4]=>1001010=>[1,3,2,2] [2,4,7,8,1,3,6,5]=>0001001=>[4,3,1] [8,5,1,2,3,7,4,6]=>1100010=>[1,1,4,2] [5,2,8,3,1,4,7,6]=>1011001=>[1,2,1,3,1] [8,7,2,5,1,4,3,6]=>1101010=>[1,1,2,2,2] [8,4,1,3,2,7,6,5]=>1101011=>[1,1,2,2,1,1] [8,3,5,1,2,4,7,6]=>1010001=>[1,2,4,1] [8,6,5,1,7,4,2,3]=>1110110=>[1,1,1,2,1,2] [8,7,4,5,1,2,6,3]=>1101001=>[1,1,2,3,1] [3,8,6,2,7,1,5,4]=>0110101=>[2,1,2,2,1] [3,4,8,2,1,7,6,5]=>0011011=>[3,1,2,1,1] [3,8,4,2,1,7,6,5]=>0111011=>[2,1,1,2,1,1] [8,3,1,7,5,6,2,4]=>1101010=>[1,1,2,2,2] [8,4,1,7,5,2,6,3]=>1101101=>[1,1,2,1,2,1] [8,4,2,7,5,3,1,6]=>1101110=>[1,1,2,1,1,2] [8,4,3,7,5,1,2,6]=>1101100=>[1,1,2,1,3] [8,5,7,6,4,3,1,2]=>1011110=>[1,2,1,1,1,2] [8,4,7,6,5,2,1,3]=>1011110=>[1,2,1,1,1,2] [8,3,1,4,7,6,2,5]=>1100110=>[1,1,3,1,2] [8,3,5,7,6,2,4,1]=>1001101=>[1,3,1,2,1] [1,4,6,8,2,5,7,3]=>0001001=>[4,3,1] [3,6,2,4,8,1,7,5]=>0100101=>[2,3,2,1] [7,3,8,2,4,6,1,5]=>1010010=>[1,2,3,2] [1,5,2,6,8,3,7,4]=>0100101=>[2,3,2,1] [4,5,3,1,8,2,6,7]=>0110100=>[2,1,2,3] [7,2,8,4,1,3,5,6]=>1011000=>[1,2,1,4] [6,1,7,3,2,8,4,5]=>1011010=>[1,2,1,2,2] [6,2,1,7,3,8,4,5]=>1101010=>[1,1,2,2,2] [5,8,2,1,3,4,6,7]=>0110000=>[2,1,5] [4,2,5,1,8,3,6,7]=>1010100=>[1,2,2,3] [7,4,2,8,3,1,5,6]=>1101100=>[1,1,2,1,3] [7,4,2,8,3,5,1,6]=>1101010=>[1,1,2,2,2] [6,7,8,5,2,1,4,3]=>0011101=>[3,1,1,2,1] [1,6,2,7,8,4,3,5]=>0100110=>[2,3,1,2] [10,1,9,5,6,7,8,2,3,4]=>101000100=>[1,2,4,3] [9,1,10,8,6,7,2,3,4,5]=>101101000=>[1,2,1,2,4] [8,1,9,10,7,2,3,4,5,6]=>100110000=>[1,3,1,5] [10,1,8,9,2,3,4,5,6,7]=>100100000=>[1,3,6] [3,1,10,9,6,7,8,2,4,5]=>101100100=>[1,2,1,3,3] [10,1,11,9,6,7,8,2,3,4,5]=>1011001000=>[1,2,1,3,4] [3,1,9,10,8,7,2,4,5,6]=>100111000=>[1,3,1,1,4] [9,1,10,11,8,7,2,3,4,5,6]=>1001110000=>[1,3,1,1,5] [3,1,8,9,10,2,4,5,6,7]=>100010000=>[1,4,5] [8,1,9,10,11,2,3,4,5,6,7]=>1000100000=>[1,4,6] [11,1,10,9,2,3,4,5,6,7,8]=>1011000000=>[1,2,1,7] [7,3,4,1,8,6,2,5]=>1010110=>[1,2,2,1,2] [4,7,6,3,5,8,2,1]=>0110011=>[2,1,3,1,1] [3,7,6,5,2,4,8,1]=>0111001=>[2,1,1,3,1] [1,4,7,8,6,2,5,3]=>0001101=>[4,1,2,1] [1,6,7,8,3,2,5,4]=>0001101=>[4,1,2,1] [1,3,2,7,8,4,6,5]=>0100101=>[2,3,2,1] [6,8,2,3,5,7,4,1]=>0100011=>[2,4,1,1] [5,7,1,4,6,2,8,3]=>0100101=>[2,3,2,1] [6,3,1,4,7,8,2,5]=>1100010=>[1,1,4,2] [9,8,7,6,5,1,3,4,2]=>11111001=>[1,1,1,1,1,3,1] [9,8,7,6,1,4,5,3,2]=>11110011=>[1,1,1,1,3,1,1] [8,7,1,5,4,6,3,2]=>1101011=>[1,1,2,2,1,1] [9,8,7,1,5,6,4,3,2]=>11100111=>[1,1,1,3,1,1,1] [9,8,1,6,7,5,4,3,2]=>11001111=>[1,1,3,1,1,1,1] [9,1,7,8,6,5,4,3,2]=>10011111=>[1,3,1,1,1,1,1] [4,5,7,1,8,6,2,3]=>0010110=>[3,2,1,2] [4,3,8,6,5,2,7,1]=>1011101=>[1,2,1,1,2,1] [2,3,8,6,5,1,7,4]=>0011101=>[3,1,1,2,1] [5,4,7,3,1,2,6,8]=>1011000=>[1,2,1,4] [7,6,2,1,5,4,3,8]=>1110110=>[1,1,1,2,1,2] [3,1,2,6,5,7,8,4]=>1001001=>[1,3,3,1] [7,3,2,6,1,4,8,5]=>1101001=>[1,1,2,3,1] [3,2,5,6,8,4,1,7]=>1000110=>[1,4,1,2] [7,2,6,8,5,4,3,1]=>1001111=>[1,3,1,1,1,1] [3,7,5,6,2,4,1,8]=>0101010=>[2,2,2,2] [3,2,4,1,6,5,8,7,9]=>10101010=>[1,2,2,2,2] [4,2,5,1,6,3,8,7,9]=>10101010=>[1,2,2,2,2] [4,2,6,1,7,3,8,5,9]=>10101010=>[1,2,2,2,2] [4,2,6,1,8,3,9,5,7]=>10101010=>[1,2,2,2,2] [4,2,6,1,7,3,5,9,8]=>10101001=>[1,2,2,3,1] [4,2,5,1,3,7,6,9,8]=>10100101=>[1,2,3,2,1] [3,2,5,4,6,1,8,7,9]=>10101010=>[1,2,2,2,2] [4,2,5,1,6,3,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [4,2,5,1,7,6,8,3,9]=>10101010=>[1,2,2,2,2] [4,2,6,1,7,3,8,5,10,9]=>101010101=>[1,2,2,2,2,1] [4,2,6,1,7,3,9,8,5]=>10101011=>[1,2,2,2,1,1] [4,2,6,1,8,3,9,5,10,7]=>101010101=>[1,2,2,2,2,1] [4,2,5,1,3,6,8,7]=>1010001=>[1,2,4,1] [4,2,6,1,7,3,5,8,9]=>10101000=>[1,2,2,4] [4,2,6,1,8,3,9,5,7,10]=>101010100=>[1,2,2,2,3] [4,2,5,1,3,8,9,6,7]=>10100010=>[1,2,4,2] [4,2,6,1,7,3,5,9,8,10]=>101010010=>[1,2,2,3,2] [3,2,1,6,7,4,5,9,8]=>11001001=>[1,1,3,3,1] [4,2,5,1,3,7,6,9,8,10]=>101001010=>[1,2,3,2,2] [1,4,5,2,3,7,6,9,8]=>00100101=>[3,3,2,1] [5,3,4,2,7,1,8,6]=>1010101=>[1,2,2,2,1] [5,6,8,2,1,3,4,7]=>0011000=>[3,1,4] [6,5,2,1,3,8,4,7]=>1110010=>[1,1,1,3,2] [2,4,3,5,6,8,1,7]=>0100010=>[2,4,2] [6,3,2,4,8,5,1,7]=>1100110=>[1,1,3,1,2] [6,3,1,2,7,8,4,5]=>1100010=>[1,1,4,2] [8,4,7,1,2,5,3,6]=>1010010=>[1,2,3,2] [7,4,6,1,8,5,2,3]=>1010110=>[1,2,2,1,2] [8,5,6,7,2,1,4,3]=>1001101=>[1,3,1,2,1] [2,5,6,3,8,4,7,1]=>0010101=>[3,2,2,1] [6,8,4,2,3,1,7,5]=>0110101=>[2,1,2,2,1] [1,7,6,2,8,3,5,4]=>0110101=>[2,1,2,2,1] [7,1,5,6,3,2,8,4]=>1001101=>[1,3,1,2,1] [4,1,3,8,5,2,7,6]=>1001101=>[1,3,1,2,1] [1,8,5,4,7,2,3,6]=>0110100=>[2,1,2,3] [8,2,5,6,4,3,1,7]=>1001110=>[1,3,1,1,2] [2,4,3,8,6,5,1,7]=>0101110=>[2,2,1,1,2] [3,1,4,5,8,6,2,7]=>1000110=>[1,4,1,2] [1,8,3,2,5,4,6,7]=>0110100=>[2,1,2,3] [5,1,7,3,2,8,4,6]=>1011010=>[1,2,1,2,2] [5,7,8,1,3,2,4,6]=>0010100=>[3,2,3] [8,2,4,1,6,7,3,5]=>1010010=>[1,2,3,2] [8,7,3,6,2,4,1,5]=>1101010=>[1,1,2,2,2] [1,7,4,8,3,6,2,5]=>0101010=>[2,2,2,2] [7,8,6,1,3,5,4,2]=>0110011=>[2,1,3,1,1] [1,7,5,8,4,3,2,6]=>0101110=>[2,2,1,1,2] [6,3,1,2,7,8,5,4]=>1100011=>[1,1,4,1,1] [8,2,7,5,3,4,1,6]=>1011010=>[1,2,1,2,2] [6,3,1,2,8,7,5,4]=>1100111=>[1,1,3,1,1,1] [8,4,7,2,6,3,1,5]=>1010110=>[1,2,2,1,2] [7,6,3,4,2,1,8,5]=>1101101=>[1,1,2,1,2,1] [8,4,6,2,3,7,1,5]=>1010010=>[1,2,3,2] [3,4,5,8,1,7,2,6]=>0001010=>[4,2,2] [6,3,4,2,7,8,1,5]=>1010010=>[1,2,3,2] [5,6,3,7,8,2,1,4]=>0100110=>[2,3,1,2] [8,6,3,4,7,2,1,5]=>1100110=>[1,1,3,1,2] [4,3,8,6,7,5,1,2]=>1010110=>[1,2,2,1,2] [4,5,6,2,7,8,3,1]=>0010011=>[3,3,1,1] [4,5,6,2,7,1,8,3]=>0010101=>[3,2,2,1] [4,5,6,2,1,7,8,3]=>0011001=>[3,1,3,1] [4,5,6,2,1,7,3,8]=>0011010=>[3,1,2,2] [6,8,7,2,3,1,4,5]=>0110100=>[2,1,2,3] [4,5,1,6,7,3,2,8]=>0100110=>[2,3,1,2] [2,5,1,8,3,7,4,6]=>0101010=>[2,2,2,2] [5,7,2,1,3,8,4,6]=>0110010=>[2,1,3,2] [3,7,5,4,1,6,8,2]=>0111001=>[2,1,1,3,1] [7,1,5,4,2,6,3,8]=>1011010=>[1,2,1,2,2] [8,5,6,3,7,2,1,4]=>1010110=>[1,2,2,1,2] [7,6,5,4,3,1,2,9,8]=>11111001=>[1,1,1,1,1,3,1] [9,8,7,6,5,4,3,2,1,11,10]=>1111111101=>[1,1,1,1,1,1,1,1,2,1] [8,7,6,5,4,3,1,2,10,9]=>111111001=>[1,1,1,1,1,1,3,1] [7,6,5,4,2,1,3,9,8]=>11111001=>[1,1,1,1,1,3,1] [7,6,5,4,1,3,2,9,8]=>11110101=>[1,1,1,1,2,2,1] [9,8,7,6,5,3,2,4,1]=>11111101=>[1,1,1,1,1,1,2,1] [9,8,7,6,5,2,4,3,1]=>11111011=>[1,1,1,1,1,2,1,1] [10,9,8,7,6,5,4,2,3,1]=>111111101=>[1,1,1,1,1,1,1,2,1] [2,7,4,5,6,8,1,3]=>0100010=>[2,4,2] [2,3,4,6,8,1,7,5]=>0000101=>[5,2,1] [2,3,4,8,6,7,9,5,1]=>00010011=>[4,3,1,1] [2,3,8,5,6,7,9,1,4]=>00100010=>[3,4,2] [2,8,4,5,6,7,9,3,1]=>01000011=>[2,5,1,1] [8,3,4,5,6,7,9,2,1]=>10000011=>[1,6,1,1] [2,3,4,5,7,9,1,8,6]=>00000101=>[6,2,1] [2,3,4,6,7,1,9,5,8]=>00001010=>[5,2,2] [2,3,4,5,9,7,8,10,6,1]=>000010011=>[5,3,1,1] [2,3,5,8,1,6,7,4]=>0001001=>[4,3,1] [2,3,5,6,1,7,9,4,8]=>00010010=>[4,3,2] [2,3,4,9,6,7,8,10,1,5]=>000100010=>[4,4,2] [2,4,5,1,6,7,9,8,3]=>00100011=>[3,4,1,1] [2,3,9,5,6,7,8,10,4,1]=>001000011=>[3,5,1,1] [2,4,7,5,6,8,1,3]=>0010010=>[3,3,2] [3,4,1,5,6,7,9,2,8]=>01000010=>[2,5,2] [2,9,4,5,6,7,8,10,3,1]=>010000011=>[2,6,1,1] [3,2,4,5,6,7,9,1,8]=>10000010=>[1,6,2] [9,3,4,5,6,7,8,10,1,2]=>100000010=>[1,7,2] [2,3,4,5,6,8,10,1,9,7]=>000000101=>[7,2,1] [2,3,4,5,6,7,10,9,11,8,1]=>0000001011=>[7,2,1,1] [2,3,4,7,6,9,8,5,1]=>00010111=>[4,2,1,1,1] [2,3,4,5,7,8,1,10,6,9]=>000001010=>[6,2,2] [2,3,4,6,9,1,7,8,5]=>00001001=>[5,3,1] [2,3,4,6,7,1,8,10,5,9]=>000010010=>[5,3,2] [7,3,4,6,2,8,1,5]=>1001010=>[1,3,2,2] [2,5,4,6,8,7,9,1,3]=>01001010=>[2,3,2,2] [2,3,5,7,1,6,9,4,8]=>00010010=>[4,3,2] [2,3,5,6,1,7,8,10,9,4]=>000100011=>[4,4,1,1] [2,3,4,10,6,7,8,9,11,5,1]=>0001000011=>[4,5,1,1] [4,7,6,5,2,8,3,1]=>0111011=>[2,1,1,2,1,1] [4,3,5,8,6,7,9,2,1]=>10010011=>[1,3,3,1,1] [2,5,4,8,6,7,3,1]=>0101011=>[2,2,2,1,1] [2,4,6,1,5,7,9,3,8]=>00100010=>[3,4,2] [2,4,5,1,6,7,8,10,3,9]=>001000010=>[3,5,2] [7,5,4,1,6,8,2,3]=>1110010=>[1,1,1,3,2] [2,4,8,5,6,7,9,1,3]=>00100010=>[3,4,2] [3,5,1,4,6,7,9,8,2]=>01000011=>[2,5,1,1] [3,4,1,5,6,7,8,10,2,9]=>010000010=>[2,6,2] [2,10,4,5,6,7,8,9,11,1,3]=>0100000010=>[2,7,2] [4,2,3,5,6,7,9,1,8]=>10000010=>[1,6,2] [3,2,4,5,6,7,8,10,9,1]=>100000011=>[1,7,1,1] [10,3,4,5,6,7,8,9,11,2,1]=>1000000011=>[1,8,1,1] [8,5,2,1,7,6,3,4]=>1110110=>[1,1,1,2,1,2] [2,7,3,6,4,1,8,5]=>0101101=>[2,2,1,2,1] [7,2,1,8,5,6,4,3]=>1101011=>[1,1,2,2,1,1] [3,6,5,1,4,8,2,7]=>0110010=>[2,1,3,2] [6,3,5,4,8,1,2,7]=>1010100=>[1,2,2,3] [2,5,1,4,6,3,8,7]=>0100101=>[2,3,2,1] [3,1,5,6,4,2,8,7]=>1001101=>[1,3,1,2,1] [8,5,6,4,3,1,7,2]=>1011101=>[1,2,1,1,2,1] [8,3,5,6,7,1,2,4]=>1000100=>[1,4,3] [2,1,4,7,3,6,8,5]=>1001001=>[1,3,3,1] [5,3,7,6,4,8,2,1]=>1011011=>[1,2,1,2,1,1] [3,7,6,4,2,8,1,5]=>0111010=>[2,1,1,2,2] [8,6,1,4,3,7,2,5]=>1101010=>[1,1,2,2,2] [8,4,7,5,1,6,3,2]=>1011011=>[1,2,1,2,1,1] [2,1,5,3,7,8,6,4]=>1010011=>[1,2,3,1,1] [5,1,4,7,6,8,2,3]=>1001010=>[1,3,2,2] [8,4,1,3,7,6,5,2]=>1100111=>[1,1,3,1,1,1] [8,3,4,1,6,7,5,2]=>1010011=>[1,2,3,1,1] [8,1,4,2,6,5,7,3]=>1010101=>[1,2,2,2,1] [8,6,4,3,7,2,1,5]=>1110110=>[1,1,1,2,1,2] [5,8,1,4,3,2,6,7]=>0101100=>[2,2,1,3] [5,6,4,3,8,2,7,1]=>0110101=>[2,1,2,2,1] [1,6,4,3,8,2,7,5]=>0110101=>[2,1,2,2,1] [6,7,4,1,3,2,5,8]=>0110100=>[2,1,2,3] [7,8,1,4,3,2,5,6]=>0101100=>[2,2,1,3] [7,1,8,4,5,3,6,2]=>1010101=>[1,2,2,2,1] [4,3,1,8,6,5,7,2]=>1101101=>[1,1,2,1,2,1] [4,3,2,7,5,1,8,6]=>1101101=>[1,1,2,1,2,1] [5,2,3,7,4,1,8,6]=>1001101=>[1,3,1,2,1] [2,1,7,4,3,6,8,5]=>1011001=>[1,2,1,3,1] [7,1,2,4,5,6,8,3]=>1000001=>[1,6,1] [2,8,7,1,4,5,6,3]=>0110001=>[2,1,4,1] [8,7,1,3,4,5,6,2]=>1100001=>[1,1,5,1] [5,8,3,1,4,6,7,2]=>0110001=>[2,1,4,1] [1,7,2,5,4,6,8,3]=>0101001=>[2,2,3,1] [2,5,3,8,1,6,7,4]=>0101001=>[2,2,3,1] [1,6,4,2,5,7,8,3]=>0110001=>[2,1,4,1] [6,5,3,4,1,7,8,2]=>1101001=>[1,1,2,3,1] [5,6,3,4,1,7,8,2]=>0101001=>[2,2,3,1] [2,5,3,1,4,7,8,6]=>0110001=>[2,1,4,1] [6,8,2,3,1,5,7,4]=>0101001=>[2,2,3,1] [4,3,1,5,2,7,8,6]=>1101001=>[1,1,2,3,1] [5,2,3,1,4,7,8,6]=>1010001=>[1,2,4,1] [7,2,1,3,5,6,8,4]=>1100001=>[1,1,5,1] [5,2,4,7,8,6,3,1]=>1000111=>[1,4,1,1,1] [5,4,8,7,2,3,1,6]=>1011010=>[1,2,1,2,2] [8,1,4,5,3,6,2,7]=>1001010=>[1,3,2,2] [8,3,5,1,4,6,2,7]=>1010010=>[1,2,3,2] [5,8,2,1,7,4,3,6]=>0110110=>[2,1,2,1,2] [6,5,7,2,1,8,4,3]=>1011011=>[1,2,1,2,1,1] [1,5,4,7,3,8,6,2]=>0101011=>[2,2,2,1,1] [7,4,1,3,8,5,6,2]=>1100101=>[1,1,3,2,1] [3,6,8,4,1,7,2,5]=>0011010=>[3,1,2,2] [2,1,8,4,7,6,3,5]=>1010110=>[1,2,2,1,2] [2,7,5,6,8,4,3,1]=>0100111=>[2,3,1,1,1] [3,5,2,4,7,8,6,1]=>0100011=>[2,4,1,1] [7,5,6,3,8,2,1,4]=>1010110=>[1,2,2,1,2] [1,6,2,7,4,5,8,3]=>0101001=>[2,2,3,1] [7,4,2,6,1,5,8,3]=>1101001=>[1,1,2,3,1] [8,4,1,6,2,5,7,3]=>1101001=>[1,1,2,3,1] [7,3,4,5,1,6,8,2]=>1001001=>[1,3,3,1] [1,3,2,5,4,7,6,9,8,11,10]=>0101010101=>[2,2,2,2,2,1] [1,4,2,6,3,7,5,9,8]=>01010101=>[2,2,2,2,1] [1,3,2,6,4,7,5,9,8]=>01010101=>[2,2,2,2,1] [2,1,6,3,7,4,8,5,9]=>10101010=>[1,2,2,2,2] [8,4,2,7,6,1,5,3]=>1101101=>[1,1,2,1,2,1] [8,4,7,1,2,6,5,3]=>1010011=>[1,2,3,1,1] [8,4,7,6,1,2,5,3]=>1011001=>[1,2,1,3,1] [8,7,6,2,1,5,3,4]=>1111010=>[1,1,1,1,2,2] [5,7,8,1,6,2,4,3]=>0010101=>[3,2,2,1] [7,9,6,8,4,5,2,3,1]=>01010101=>[2,2,2,2,1] [7,9,5,8,4,6,2,3,1]=>01010101=>[2,2,2,2,1] [7,9,5,8,3,6,2,4,1]=>01010101=>[2,2,2,2,1] [6,8,4,7,5,2,1,3]=>0101110=>[2,2,1,1,2] [7,9,5,8,3,6,4,1,2]=>01010110=>[2,2,2,1,2] [7,9,5,8,6,3,4,1,2]=>01011010=>[2,2,1,2,2] [7,9,8,5,6,3,4,1,2]=>01101010=>[2,1,2,2,2] [6,9,5,8,4,7,2,3,1]=>01010101=>[2,2,2,2,1] [7,9,4,8,3,6,2,5,1]=>01010101=>[2,2,2,2,1] [7,9,5,8,2,6,1,4,3]=>01010101=>[2,2,2,2,1] [6,8,2,7,1,5,4,3]=>0101011=>[2,2,2,1,1] [7,9,5,8,3,6,4,2,1]=>01010111=>[2,2,2,1,1,1] [8,10,6,9,4,7,2,5,3,1]=>010101011=>[2,2,2,2,1,1] [6,8,7,4,2,5,1,3]=>0111010=>[2,1,1,2,2] [7,9,5,8,6,3,1,4,2]=>01011101=>[2,2,1,1,2,1] [8,10,6,9,4,7,5,2,3,1]=>010101101=>[2,2,2,1,2,1] [7,9,8,5,3,6,4,1,2]=>01110110=>[2,1,1,2,1,2] [8,10,6,9,7,4,5,2,3,1]=>010110101=>[2,2,1,2,2,1] [9,7,5,8,6,3,4,1,2]=>11011010=>[1,1,2,1,2,2] [8,10,9,6,7,4,5,2,3,1]=>011010101=>[2,1,2,2,2,1] [6,8,4,5,7,2,1,3]=>0100110=>[2,3,1,2] [6,8,4,2,5,1,3,7]=>0110100=>[2,1,2,3] [6,5,4,3,2,7,1,8,9]=>11110100=>[1,1,1,1,2,3] [5,4,3,2,6,1,7,8,9]=>11101000=>[1,1,1,2,4] [4,3,2,5,1,6,7,8,9]=>11010000=>[1,1,2,5] [3,2,4,1,5,6,7,8,9]=>10100000=>[1,2,6] [2,5,3,7,6,4,8,1]=>0101101=>[2,2,1,2,1] [3,1,5,7,6,4,2,8]=>1001110=>[1,3,1,1,2] [3,1,6,5,4,7,2,8]=>1011010=>[1,2,1,2,2] [2,5,6,8,3,4,7,1]=>0001001=>[4,3,1] [4,1,3,6,5,2,7,8]=>1001100=>[1,3,1,3] [3,6,2,4,5,7,1,8]=>0100010=>[2,4,2] [3,6,2,5,4,7,1,8]=>0101010=>[2,2,2,2] [3,5,1,7,6,4,2,8]=>0101110=>[2,2,1,1,2] [3,6,1,4,5,7,2,8]=>0100010=>[2,4,2] [4,3,1,6,5,2,7,8]=>1101100=>[1,1,2,1,3] [4,1,2,6,5,3,7,8]=>1001100=>[1,3,1,3] [4,6,1,3,5,2,7,8]=>0100100=>[2,3,3] [3,6,4,2,5,7,1,8]=>0110010=>[2,1,3,2] [4,2,6,3,5,1,7,8]=>1010100=>[1,2,2,3] [3,4,7,6,5,1,2,8]=>0011100=>[3,1,1,3] [4,5,2,7,1,3,6,8]=>0101000=>[2,2,4] [4,6,1,2,5,3,7,8]=>0100100=>[2,3,3] [2,6,5,1,4,8,7,3]=>0110011=>[2,1,3,1,1] [5,8,4,7,1,3,6,2]=>0101001=>[2,2,3,1] [6,4,7,1,3,5,2,8]=>1010010=>[1,2,3,2] [6,8,1,3,5,7,4,2]=>0100011=>[2,4,1,1] [5,8,3,2,7,4,6,1]=>0110101=>[2,1,2,2,1] [6,8,3,1,5,4,7,2]=>0110101=>[2,1,2,2,1] [6,8,1,2,5,3,7,4]=>0100101=>[2,3,2,1] [5,2,8,3,4,6,7,1]=>1010001=>[1,2,4,1] [5,2,7,1,6,4,8,3]=>1010101=>[1,2,2,2,1] [4,5,2,6,1,3,7,8]=>0101000=>[2,2,4] [4,3,5,8,6,1,7,2]=>1001101=>[1,3,1,2,1] [5,1,3,6,7,4,2,8]=>1000110=>[1,4,1,2] [4,2,8,3,6,7,5,1]=>1010011=>[1,2,3,1,1] [3,1,7,8,5,6,2,4]=>1001010=>[1,3,2,2] [6,2,1,7,5,3,4,8]=>1101100=>[1,1,2,1,3] [3,7,1,8,5,2,4,6]=>0101100=>[2,2,1,3] [4,2,8,6,7,1,3,5]=>1010100=>[1,2,2,3] [6,1,2,4,7,3,5,8]=>1000100=>[1,4,3] [5,3,1,6,4,7,2,8]=>1101010=>[1,1,2,2,2] [1,2,4,5,8,7,3,6]=>0000110=>[5,1,2] [1,3,4,7,5,8,6,2]=>0001011=>[4,2,1,1] [1,5,2,3,7,8,6,4]=>0100011=>[2,4,1,1] [4,2,8,1,6,5,7,3]=>1010101=>[1,2,2,2,1] [1,3,5,2,7,4,6,9,8]=>00101001=>[3,2,3,1] [1,2,4,3,6,5,8,7,9]=>00101010=>[3,2,2,2] [1,3,5,7,2,4,6,9,8]=>00010001=>[4,4,1] [1,3,5,7,2,4,6,9,8,10]=>000100010=>[4,4,2] [1,3,5,7,2,9,4,6,8]=>00010100=>[4,2,3] [5,6,1,4,8,3,2,7]=>0100110=>[2,3,1,2] [3,6,4,1,7,2,8,5]=>0110101=>[2,1,2,2,1] [5,6,2,1,3,7,4,8,9]=>01100100=>[2,1,3,3] [3,2,5,1,6,4,7,8,9]=>10101000=>[1,2,2,4] [6,7,2,1,8,3,4,9,5]=>01101001=>[2,1,2,3,1] [3,6,4,1,7,2,8,5,9]=>01101010=>[2,1,2,2,2] [3,6,7,2,1,4,8,5,9]=>00110010=>[3,1,3,2] [4,2,6,1,7,5,3,8,9]=>10101100=>[1,2,2,1,3] [4,3,2,6,1,7,5,8,9]=>11010100=>[1,1,2,2,3] [4,7,2,5,1,8,3,9,6]=>01010101=>[2,2,2,2,1] [4,3,7,8,2,1,5,9,6]=>10011001=>[1,3,1,3,1] [3,5,2,7,1,8,6,4,9]=>01010110=>[2,2,2,1,2] [5,4,3,2,7,1,8,6,9]=>11101010=>[1,1,1,2,2,2] [6,4,2,8,1,9,7,5,3]=>11010111=>[1,1,2,2,1,1,1] [4,3,6,2,8,1,9,7,5]=>10101011=>[1,2,2,2,1,1] [6,5,4,3,2,8,1,9,7]=>11110101=>[1,1,1,1,2,2,1] [2,4,1,5,3,6,7,8,9,10]=>010100000=>[2,2,6] [5,6,2,1,3,7,4,8,9,10]=>011001000=>[2,1,3,4] [3,2,5,1,6,4,7,8,9,10]=>101010000=>[1,2,2,5] [6,7,2,1,8,3,4,9,5,10]=>011010010=>[2,1,2,3,2] [3,6,4,1,7,2,8,5,9,10]=>011010100=>[2,1,2,2,3] [3,6,7,2,1,4,8,5,9,10]=>001100100=>[3,1,3,3] [4,2,6,1,7,5,3,8,9,10]=>101011000=>[1,2,2,1,4] [4,3,2,6,1,7,5,8,9,10]=>110101000=>[1,1,2,2,4] [3,4,7,1,8,2,9,5,10,6]=>001010101=>[3,2,2,2,1] [7,8,9,3,2,1,4,5,10,6]=>001110001=>[3,1,1,4,1] [4,7,2,5,1,8,3,9,6,10]=>010101010=>[2,2,2,2,2] [4,3,7,8,2,1,5,9,6,10]=>100110010=>[1,3,1,3,2] [3,5,2,7,1,8,6,4,9,10]=>010101100=>[2,2,2,1,3] [5,4,3,2,7,1,8,6,9,10]=>111010100=>[1,1,1,2,2,3] [5,8,9,2,1,6,3,10,7,4]=>001101011=>[3,1,2,2,1,1] [5,3,8,6,4,1,9,2,10,7]=>101110101=>[1,2,1,1,2,2,1] [3,5,8,2,6,1,9,4,10,7]=>001010101=>[3,2,2,2,1] [5,4,3,8,9,2,1,6,10,7]=>110011001=>[1,1,3,1,3,1] [6,4,2,8,1,9,7,5,3,10]=>110101110=>[1,1,2,2,1,1,2] [4,3,6,2,8,1,9,7,5,10]=>101010110=>[1,2,2,2,1,2] [6,5,4,3,2,8,1,9,7,10]=>111101010=>[1,1,1,1,2,2,2] [5,3,7,2,9,1,10,8,6,4]=>101010111=>[1,2,2,2,1,1,1] [5,4,3,7,2,9,1,10,8,6]=>110101011=>[1,1,2,2,2,1,1] [7,6,5,4,3,2,9,1,10,8]=>111110101=>[1,1,1,1,1,2,2,1] [5,2,6,3,7,8,4,1]=>1010011=>[1,2,3,1,1] [2,4,1,3,7,8,6,5]=>0100011=>[2,4,1,1] [2,6,1,5,7,8,4,3]=>0100011=>[2,4,1,1] [5,1,6,4,7,8,2,3]=>1010010=>[1,2,3,2] [8,4,6,3,7,5,1,2]=>1010110=>[1,2,2,1,2] [4,7,6,8,2,3,5,1]=>0101001=>[2,2,3,1] [5,7,4,8,1,2,6,3]=>0101001=>[2,2,3,1] [3,6,7,5,8,1,4,2]=>0010101=>[3,2,2,1] [3,7,5,6,8,2,4,1]=>0100101=>[2,3,2,1] [2,7,1,6,8,4,5,3]=>0100101=>[2,3,2,1] [1,5,4,7,2,6,3,8]=>0101010=>[2,2,2,2] [2,4,5,8,3,1,7,6]=>0001101=>[4,1,2,1] [1,4,7,5,8,3,6,2]=>0010101=>[3,2,2,1] [2,6,8,7,3,5,1,4]=>0011010=>[3,1,2,2] [4,7,8,6,2,5,1,3]=>0011010=>[3,1,2,2] [4,8,7,3,5,6,2,1]=>0110011=>[2,1,3,1,1] [1,7,6,3,5,4,2,8]=>0110110=>[2,1,2,1,2] [4,3,8,1,6,5,7,2]=>1010101=>[1,2,2,2,1] [1,3,6,2,5,8,7,4]=>0010011=>[3,3,1,1] [5,8,7,1,4,6,3,2]=>0110011=>[2,1,3,1,1] [6,2,5,1,3,4,8,7]=>1010001=>[1,2,4,1] [2,6,5,1,3,4,8,7]=>0110001=>[2,1,4,1] [4,6,5,1,2,7,3,8]=>0110010=>[2,1,3,2] [5,6,4,1,2,7,3,8]=>0110010=>[2,1,3,2] [8,1,5,6,2,4,3,7]=>1001010=>[1,3,2,2] [6,4,5,1,2,7,3,8]=>1010010=>[1,2,3,2] [5,4,6,1,3,2,7,8]=>1010100=>[1,2,2,3] [5,7,1,4,3,2,6,8]=>0101100=>[2,2,1,3] [2,6,4,1,3,7,5,8]=>0110010=>[2,1,3,2] [7,8,5,3,2,1,6,4]=>0111101=>[2,1,1,1,2,1] [1,2,6,7,8,4,5,3]=>0000101=>[5,2,1] [6,1,4,8,2,7,5,3]=>1001011=>[1,3,2,1,1] [5,2,3,7,1,8,4,6]=>1001010=>[1,3,2,2] [7,2,3,1,8,4,6,5]=>1010101=>[1,2,2,2,1] [5,4,1,7,3,2,8,6]=>1101101=>[1,1,2,1,2,1] [7,3,4,5,1,8,6,2]=>1001011=>[1,3,2,1,1] [1,5,6,7,4,8,2,3]=>0001010=>[4,2,2] [6,3,2,5,7,4,8,1]=>1100101=>[1,1,3,2,1] [5,7,3,8,1,2,4,6]=>0101000=>[2,2,4] [4,5,2,7,6,3,1,8]=>0101110=>[2,2,1,1,2] [4,5,2,1,7,6,3,8]=>0110110=>[2,1,2,1,2] [2,6,7,8,3,1,4,5]=>0001100=>[4,1,3] [6,3,2,5,1,7,8,4]=>1101001=>[1,1,2,3,1] [4,6,3,7,8,2,1,5]=>0100110=>[2,3,1,2] [5,6,7,1,8,4,2,3]=>0010110=>[3,2,1,2] [1,7,8,4,6,5,2,3]=>0010110=>[3,2,1,2] [1,7,3,2,8,6,5,4]=>0110111=>[2,1,2,1,1,1] [3,7,1,2,8,6,5,4]=>0100111=>[2,3,1,1,1] [2,7,8,1,6,5,3,4]=>0010110=>[3,2,1,2] [2,5,8,1,7,6,3,4]=>0010110=>[3,2,1,2] [8,1,5,7,3,4,6,2]=>1001001=>[1,3,3,1] [5,8,2,7,6,3,1,4]=>0101110=>[2,2,1,1,2] [2,8,4,7,6,3,1,5]=>0101110=>[2,2,1,1,2] [1,8,2,4,7,6,3,5]=>0100110=>[2,3,1,2] [4,5,8,7,1,6,2,3]=>0011010=>[3,1,2,2] [1,8,2,4,6,7,5,3]=>0100011=>[2,4,1,1] [3,4,2,8,1,7,6,5]=>0101011=>[2,2,2,1,1] [2,4,5,8,1,7,6,3]=>0001011=>[4,2,1,1] [3,1,8,2,6,7,5,4]=>1010011=>[1,2,3,1,1] [2,6,8,1,4,3,7,5]=>0010101=>[3,2,2,1] [4,1,8,2,6,7,3,5]=>1010010=>[1,2,3,2] [1,6,5,2,8,7,3,4]=>0110110=>[2,1,2,1,2] [8,1,7,3,5,2,4,6]=>1010100=>[1,2,2,3] [8,1,3,2,7,6,4,5]=>1010110=>[1,2,2,1,2] [7,3,4,8,6,2,5,1]=>1001101=>[1,3,1,2,1] [7,5,8,1,6,2,3,4]=>1010100=>[1,2,2,3] [6,8,4,5,3,1,7,2]=>0101101=>[2,2,1,2,1] [6,7,5,3,2,8,4,1]=>0111011=>[2,1,1,2,1,1] [6,2,5,3,8,1,4,7]=>1010100=>[1,2,2,3] [7,6,1,3,5,2,4,8]=>1100100=>[1,1,3,3] [6,2,4,5,3,8,1,7]=>1001010=>[1,3,2,2] [6,1,5,4,7,2,3,8]=>1010100=>[1,2,2,3] [6,8,5,4,7,1,3,2]=>0110101=>[2,1,2,2,1] [1,6,8,4,2,5,7,3]=>0011001=>[3,1,3,1] [7,5,8,1,3,4,2,6]=>1010010=>[1,2,3,2] [1,4,2,8,3,5,7,6]=>0101001=>[2,2,3,1] [1,3,5,4,8,7,2,6]=>0010110=>[3,2,1,2] [1,6,2,4,8,3,7,5]=>0100101=>[2,3,2,1] [1,7,8,5,4,2,6,3]=>0011101=>[3,1,1,2,1] [1,5,2,8,6,4,7,3]=>0101101=>[2,2,1,2,1] [1,6,5,2,7,4,8,3]=>0110101=>[2,1,2,2,1] [5,1,6,7,4,2,8,3]=>1001101=>[1,3,1,2,1] [6,8,1,5,2,3,7,4]=>0101001=>[2,2,3,1] [1,5,4,2,8,6,7,3]=>0110101=>[2,1,2,2,1] [1,8,5,4,6,2,7,3]=>0110101=>[2,1,2,2,1] [1,7,5,4,6,2,8,3]=>0110101=>[2,1,2,2,1] [5,8,4,1,6,2,7,3]=>0110101=>[2,1,2,2,1] [4,8,1,3,7,6,2,5]=>0100110=>[2,3,1,2] [4,5,3,1,2,8,7,6]=>0110011=>[2,1,3,1,1] [6,4,2,3,1,8,7,5]=>1101011=>[1,1,2,2,1,1] [6,5,2,1,3,8,7,4]=>1110011=>[1,1,1,3,1,1] [7,6,1,8,2,5,3,4]=>1101010=>[1,1,2,2,2] [8,4,2,3,7,6,1,5]=>1100110=>[1,1,3,1,2] [5,7,8,1,2,4,3,6]=>0010010=>[3,3,2] [1,7,6,8,3,5,4,2]=>0101011=>[2,2,2,1,1] [5,7,6,4,2,1,3,8]=>0111100=>[2,1,1,1,3] [6,5,7,4,1,3,2,8]=>1011010=>[1,2,1,2,2] [4,6,1,8,3,5,2,7]=>0101010=>[2,2,2,2] [7,1,6,8,2,5,4,3]=>1001011=>[1,3,2,1,1] [4,7,1,8,3,2,5,6]=>0101100=>[2,2,1,3] [4,8,3,6,1,5,2,7]=>0101010=>[2,2,2,2] [1,7,8,6,4,5,3,2]=>0011011=>[3,1,2,1,1] [3,2,8,6,4,5,1,7]=>1011010=>[1,2,1,2,2] [8,4,3,6,2,5,1,7]=>1101010=>[1,1,2,2,2] [1,6,8,7,4,3,5,2]=>0011101=>[3,1,1,2,1] [3,1,2,6,8,7,5,4]=>1000111=>[1,4,1,1,1] [5,7,4,2,1,8,6,3]=>0111011=>[2,1,1,2,1,1] [8,6,5,7,2,4,3,1]=>1101011=>[1,1,2,2,1,1] [7,4,6,1,8,5,3,2]=>1010111=>[1,2,2,1,1,1] [7,4,6,3,8,1,5,2]=>1010101=>[1,2,2,2,1] [7,4,8,1,6,3,2,5]=>1010110=>[1,2,2,1,2] [7,4,8,3,6,2,1,5]=>1010110=>[1,2,2,1,2] [6,4,8,2,3,5,7,1]=>1010001=>[1,2,4,1] [4,6,8,2,5,7,1,3]=>0010010=>[3,3,2] [6,4,8,2,5,7,1,3]=>1010010=>[1,2,3,2] [6,2,4,5,8,3,7,1]=>1000101=>[1,4,2,1] [6,8,2,4,7,3,5,1]=>0100101=>[2,3,2,1] [8,4,6,2,7,1,3,5]=>1010100=>[1,2,2,3] [6,8,4,2,7,1,3,5]=>0110100=>[2,1,2,3] [6,8,2,4,1,7,3,5]=>0101010=>[2,2,2,2] [7,5,1,6,2,4,8,3]=>1101001=>[1,1,2,3,1] [4,2,5,7,1,6,8,3]=>1001001=>[1,3,3,1] [2,4,8,5,6,7,3,1]=>0010011=>[3,3,1,1] [4,5,2,3,8,7,1,6]=>0100110=>[2,3,1,2] [2,5,4,7,6,1,3,8]=>0101100=>[2,2,1,3] [5,2,3,7,6,1,4,8]=>1001100=>[1,3,1,3] [4,2,3,7,6,1,5,8]=>1001100=>[1,3,1,3] [4,2,7,3,5,1,6,8]=>1010100=>[1,2,2,3] [5,6,2,3,8,4,7,1]=>0100101=>[2,3,2,1] [5,6,2,3,1,7,8,4]=>0101001=>[2,2,3,1] [5,7,2,3,4,1,6,8]=>0100100=>[2,3,3] [6,2,7,3,5,1,4,8]=>1010100=>[1,2,2,3] [7,2,6,3,5,1,4,8]=>1010100=>[1,2,2,3] [6,5,2,3,1,7,8,4]=>1101001=>[1,1,2,3,1] [6,5,2,3,8,4,7,1]=>1100101=>[1,1,3,2,1] [7,5,2,1,4,6,8,3]=>1110001=>[1,1,1,4,1] [8,5,2,3,1,6,4,7]=>1101010=>[1,1,2,2,2] [8,6,2,3,1,5,4,7]=>1101010=>[1,1,2,2,2] [8,2,6,3,1,7,4,5]=>1011010=>[1,2,1,2,2] [1,6,3,4,2,7,5,8]=>0101010=>[2,2,2,2] [8,5,2,7,3,4,6,1]=>1101001=>[1,1,2,3,1] [1,7,2,4,5,6,8,3]=>0100001=>[2,5,1] [1,8,3,2,5,6,4,7]=>0110010=>[2,1,3,2] [7,2,8,1,4,6,3,5]=>1010010=>[1,2,3,2] [2,7,8,1,5,6,3,4]=>0010010=>[3,3,2] [6,8,2,3,1,5,4,7]=>0101010=>[2,2,2,2] [5,8,2,3,1,6,4,7]=>0101010=>[2,2,2,2] [5,7,2,1,4,6,8,3]=>0110001=>[2,1,4,1] [4,2,7,1,5,6,8,3]=>1010001=>[1,2,4,1] [4,2,3,8,1,7,5,6]=>1001010=>[1,3,2,2] [4,2,1,5,3,7,6,8]=>1101010=>[1,1,2,2,2] [5,1,3,8,4,6,7,2]=>1001001=>[1,3,3,1] [5,1,3,2,6,7,8,4]=>1010001=>[1,2,4,1] [5,1,3,4,2,7,6,8]=>1001010=>[1,3,2,2] [6,1,3,4,2,7,5,8]=>1001010=>[1,3,2,2] [7,2,1,3,5,8,4,6]=>1100010=>[1,1,4,2] [6,8,7,2,3,4,5,1]=>0110001=>[2,1,4,1] [10,9,11,8,7,6,5,4,3,2,1]=>1011111111=>[1,2,1,1,1,1,1,1,1,1] [1,9,8,10,7,6,5,4,3,2]=>010111111=>[2,2,1,1,1,1,1,1] [2,8,7,9,6,5,4,3,1]=>01011111=>[2,2,1,1,1,1,1] [3,7,2,8,1,4,5,6]=>0101000=>[2,2,4] [5,2,3,7,4,6,1,8]=>1001010=>[1,3,2,2] [2,5,3,7,4,6,1,8]=>0101010=>[2,2,2,2] [2,6,7,3,4,5,1,8]=>0010010=>[3,3,2] [6,2,7,3,4,5,1,8]=>1010010=>[1,2,3,2] [3,8,4,5,2,1,6,7]=>0101100=>[2,2,1,3] [2,7,6,3,4,5,1,8]=>0110010=>[2,1,3,2] [2,8,7,5,1,3,4,6]=>0111000=>[2,1,1,4] [3,1,2,9,4,5,6,7,8]=>10010000=>[1,3,5] [4,1,2,3,9,5,6,7,8]=>10001000=>[1,4,4] [5,1,2,3,4,9,6,7,8]=>10000100=>[1,5,3] [6,1,2,3,4,5,9,7,8]=>10000010=>[1,6,2] [2,1,10,3,4,5,6,7,8,9]=>101000000=>[1,2,7] [3,1,2,10,4,5,6,7,8,9]=>100100000=>[1,3,6] [3,4,1,2,9,5,6,7,8]=>01001000=>[2,3,4] [4,1,2,3,10,5,6,7,8,9]=>100010000=>[1,4,5] [4,5,1,2,3,9,6,7,8]=>01000100=>[2,4,3] [5,1,2,3,4,10,6,7,8,9]=>100001000=>[1,5,4] [5,6,1,2,3,4,9,7,8]=>01000010=>[2,5,2] [6,1,2,3,4,5,10,7,8,9]=>100000100=>[1,6,3] [6,7,1,2,3,4,5,9,8]=>01000001=>[2,6,1] [7,1,2,3,4,5,6,10,8,9]=>100000010=>[1,7,2] [4,5,7,2,8,3,6,1]=>0010101=>[3,2,2,1] [9,7,5,3,1,8,6,4,2]=>11110111=>[1,1,1,1,2,1,1,1] [9,6,3,8,5,2,7,4,1]=>11011011=>[1,1,2,1,2,1,1] [8,5,2,9,6,3,7,4,1]=>11011011=>[1,1,2,1,2,1,1] [9,5,1,6,2,7,3,8,4]=>11010101=>[1,1,2,2,2,1] [9,5,1,8,4,7,3,6,2]=>11010101=>[1,1,2,2,2,1] [8,4,7,3,6,2,9,5,1]=>10101011=>[1,2,2,2,1,1] [7,3,8,4,6,2,9,5,1]=>10101011=>[1,2,2,2,1,1] [9,4,7,2,5,8,3,6,1]=>10100101=>[1,2,3,2,1] [9,4,6,1,8,3,5,7,2]=>10101001=>[1,2,2,3,1] [8,3,5,7,2,9,4,6,1]=>10010101=>[1,3,2,2,1] [7,2,8,3,9,4,5,6,1]=>10101001=>[1,2,2,3,1] [8,3,7,2,9,4,5,6,1]=>10101001=>[1,2,2,3,1] [5,8,3,7,2,9,4,6,1]=>01010101=>[2,2,2,2,1] [4,5,6,9,3,8,2,7,1]=>00010101=>[4,2,2,1] [4,5,6,8,2,9,3,7,1]=>00010101=>[4,2,2,1] [9,3,6,5,4,7,1,8,2]=>10110101=>[1,2,1,2,2,1] [8,2,9,3,6,5,4,7,1]=>10101101=>[1,2,2,1,2,1] [6,5,4,8,2,9,3,7,1]=>11010101=>[1,1,2,2,2,1] [5,6,4,8,2,9,3,7,1]=>01010101=>[2,2,2,2,1] [9,2,7,4,5,6,3,8,1]=>10100101=>[1,2,3,2,1] [7,4,5,6,3,9,2,8,1]=>10010101=>[1,3,2,2,1] [5,7,4,6,3,9,2,8,1]=>01010101=>[2,2,2,2,1] [10,8,6,4,2,9,7,5,3,1]=>111101111=>[1,1,1,1,2,1,1,1,1] [10,7,4,1,8,5,2,9,6,3]=>111011011=>[1,1,1,2,1,2,1,1] [9,6,3,8,5,2,10,7,4,1]=>110110111=>[1,1,2,1,2,1,1,1] [9,5,1,7,3,10,6,2,8,4]=>110101101=>[1,1,2,2,1,2,1] [10,6,2,7,3,8,4,9,5,1]=>110101011=>[1,1,2,2,2,1,1] [7,3,8,4,10,6,2,9,5,1]=>101011011=>[1,2,2,1,2,1,1] [8,4,7,3,10,6,2,9,5,1]=>101011011=>[1,2,2,1,2,1,1] [10,5,8,3,6,1,9,4,7,2]=>101010101=>[1,2,2,2,2,1] [9,4,7,2,10,5,8,3,6,1]=>101010101=>[1,2,2,2,2,1] [10,5,7,2,8,3,9,4,6,1]=>101010101=>[1,2,2,2,2,1] [8,3,10,5,7,2,9,4,6,1]=>101010101=>[1,2,2,2,2,1] [8,3,9,4,7,2,10,5,6,1]=>101010101=>[1,2,2,2,2,1] [9,3,5,7,1,10,4,6,8,2]=>100101001=>[1,3,2,3,1] [10,4,6,8,2,9,3,5,7,1]=>100101001=>[1,3,2,3,1] [10,4,5,6,7,1,8,2,9,3]=>100010101=>[1,4,2,2,1] [8,2,9,3,10,4,5,6,7,1]=>101010001=>[1,2,2,4,1] [9,3,8,2,10,4,5,6,7,1]=>101010001=>[1,2,2,4,1] [5,6,9,3,7,1,10,4,8,2]=>001010101=>[3,2,2,2,1] [5,6,10,4,8,2,9,3,7,1]=>001010101=>[3,2,2,2,1] [5,6,9,3,8,2,10,4,7,1]=>001010101=>[3,2,2,2,1] [6,5,9,3,8,2,10,4,7,1]=>101010101=>[1,2,2,2,2,1] [9,2,7,6,5,4,10,3,8,1]=>101110101=>[1,2,1,1,2,2,1] [10,3,7,6,5,4,8,1,9,2]=>101110101=>[1,2,1,1,2,2,1] [9,2,10,3,7,6,5,4,8,1]=>101011101=>[1,2,2,1,1,2,1] [7,6,5,4,9,2,10,3,8,1]=>111010101=>[1,1,1,2,2,2,1] [6,4,7,5,10,3,9,2,8,1]=>101010101=>[1,2,2,2,2,1] [6,4,7,5,9,2,10,3,8,1]=>101010101=>[1,2,2,2,2,1] [7,5,6,4,9,2,10,3,8,1]=>101010101=>[1,2,2,2,2,1] [6,5,7,4,9,2,10,3,8,1]=>101010101=>[1,2,2,2,2,1] [5,6,7,3,8,4,9,1,10,2]=>001010101=>[3,2,2,2,1] [5,6,7,3,8,4,10,2,9,1]=>001010101=>[3,2,2,2,1] [5,6,8,4,7,3,10,2,9,1]=>001010101=>[3,2,2,2,1] [6,5,8,4,7,3,10,2,9,1]=>101010101=>[1,2,2,2,2,1] [5,2,1,3,6,7,8,4]=>1100001=>[1,1,5,1] [1,6,5,7,2,8,3,4]=>0101010=>[2,2,2,2] [7,5,2,6,1,8,4,3]=>1101011=>[1,1,2,2,1,1] [6,1,5,2,7,8,4,3]=>1010011=>[1,2,3,1,1] [1,6,5,7,2,8,4,3]=>0101011=>[2,2,2,1,1] [1,5,4,6,2,8,7,3]=>0101011=>[2,2,2,1,1] [1,5,4,6,2,8,3,7]=>0101010=>[2,2,2,2] [1,5,6,4,8,2,3,7]=>0010100=>[3,2,3] [6,2,1,5,8,4,7,3]=>1100101=>[1,1,3,2,1] [7,5,6,8,4,1,3,2]=>1001101=>[1,3,1,2,1] [8,3,7,5,1,4,2,6]=>1011010=>[1,2,1,2,2] [8,1,5,7,3,6,2,4]=>1001010=>[1,3,2,2] [8,3,2,6,4,5,1,7]=>1101010=>[1,1,2,2,2] [8,5,3,7,4,1,2,6]=>1101100=>[1,1,2,1,3] [8,5,6,2,7,1,3,4]=>1010100=>[1,2,2,3] [8,4,7,2,6,5,1,3]=>1010110=>[1,2,2,1,2] [8,5,7,3,2,6,1,4]=>1011010=>[1,2,1,2,2] [8,1,2,3,6,4,7,5]=>1000101=>[1,4,2,1] [7,6,2,3,5,8,1,4]=>1100010=>[1,1,4,2] [4,5,3,7,8,1,6,2]=>0100101=>[2,3,2,1] [3,4,2,8,1,6,7,5]=>0101001=>[2,2,3,1] [8,3,4,1,5,7,6,2]=>1010011=>[1,2,3,1,1] [4,3,7,5,1,6,2,8]=>1011010=>[1,2,1,2,2] [5,2,6,1,4,3,7,8]=>1010100=>[1,2,2,3] [5,3,7,4,2,8,6,1]=>1011011=>[1,2,1,2,1,1] [7,2,5,8,6,1,4,3]=>1001101=>[1,3,1,2,1] [5,3,1,4,6,7,8,2]=>1100001=>[1,1,5,1] [4,6,2,1,3,7,8,5]=>0110001=>[2,1,4,1] [2,5,4,1,3,6,7,8]=>0110000=>[2,1,5] [6,5,2,7,4,1,3,8]=>1101100=>[1,1,2,1,3] [4,2,5,6,7,8,9,1,3]=>10000010=>[1,6,2] [3,1,6,7,8,4,5,2]=>1000101=>[1,4,2,1] [7,4,5,6,2,1,8,3]=>1001101=>[1,3,1,2,1] [4,2,5,6,7,8,9,10,1,3]=>100000010=>[1,7,2] [3,4,5,6,7,8,9,10,1,11,2]=>0000000101=>[8,2,1] [3,7,5,6,2,1,8,4]=>0101101=>[2,2,1,2,1] [1,7,6,3,8,4,5,2]=>0110101=>[2,1,2,2,1] [6,4,1,2,7,8,3,5]=>1100010=>[1,1,4,2] [6,4,1,3,5,2,7,8]=>1100100=>[1,1,3,3] [5,1,8,3,4,6,2,7]=>1010010=>[1,2,3,2] [4,5,8,2,3,7,1,6]=>0010010=>[3,3,2] [7,3,4,8,2,5,1,6]=>1001010=>[1,3,2,2] [4,7,2,5,1,6,8,3]=>0101001=>[2,2,3,1] [6,3,1,7,4,2,5,8]=>1101100=>[1,1,2,1,3] [8,7,2,1,5,3,6,4]=>1110101=>[1,1,1,2,2,1] [7,2,8,1,5,6,4,3]=>1010011=>[1,2,3,1,1] [5,6,4,2,1,8,3,7]=>0111010=>[2,1,1,2,2] [5,7,3,6,4,1,2,8]=>0101100=>[2,2,1,3] [2,4,3,5,8,1,6,7]=>0100100=>[2,3,3] [2,6,5,3,8,1,4,7]=>0110100=>[2,1,2,3] [6,1,2,4,3,5,7,8]=>1001000=>[1,3,4] [6,5,8,2,7,3,4,1]=>1010101=>[1,2,2,2,1] [1,7,6,8,4,3,2,5]=>0101110=>[2,2,1,1,2] [1,7,6,5,3,8,2,4]=>0111010=>[2,1,1,2,2] [6,1,2,4,3,5,8,7]=>1001001=>[1,3,3,1] [4,6,1,3,7,8,5,2]=>0100011=>[2,4,1,1] [8,4,1,5,2,6,7,3]=>1101001=>[1,1,2,3,1] [1,5,6,3,8,7,2,4]=>0010110=>[3,2,1,2] [5,3,2,6,8,7,1,4]=>1100110=>[1,1,3,1,2] [6,3,5,2,7,1,4,8]=>1010100=>[1,2,2,3] [8,5,2,6,7,1,4,3]=>1100101=>[1,1,3,2,1] [5,3,8,7,1,4,2,6]=>1011010=>[1,2,1,2,2] [6,4,5,3,1,8,7,2]=>1011011=>[1,2,1,2,1,1] [8,5,1,2,3,6,7,4]=>1100001=>[1,1,5,1] [2,8,6,1,5,4,7,3]=>0110101=>[2,1,2,2,1] [8,3,2,6,1,5,7,4]=>1101001=>[1,1,2,3,1] [3,8,6,4,7,1,2,5]=>0110100=>[2,1,2,3] [1,8,7,5,4,3,2,6]=>0111110=>[2,1,1,1,1,2] [8,6,4,7,1,3,2,5]=>1101010=>[1,1,2,2,2] [3,1,4,7,6,2,5,8]=>1001100=>[1,3,1,3] [5,3,4,1,6,2,7,8]=>1010100=>[1,2,2,3] [2,7,1,4,6,3,5,8]=>0100100=>[2,3,3] [7,3,1,6,5,2,4,8]=>1101100=>[1,1,2,1,3] [7,1,5,2,4,6,3,8]=>1010010=>[1,2,3,2] [6,1,4,5,2,7,3,8]=>1001010=>[1,3,2,2] [6,1,5,8,2,7,4,3]=>1001011=>[1,3,2,1,1] [7,1,2,3,6,4,5,8]=>1000100=>[1,4,3] [7,1,2,3,9,5,6,10,8,4]=>100010011=>[1,4,3,1,1] [6,1,2,9,4,5,3,10,8,7]=>100101011=>[1,3,2,2,1,1] [9,1,2,3,8,5,10,7,6,4]=>100010111=>[1,4,2,1,1,1] [9,1,2,8,4,3,10,7,5,6]=>100110110=>[1,3,1,2,1,2] [8,1,2,7,4,10,6,5,3,9]=>100101110=>[1,3,2,1,1,2] [9,1,8,3,2,5,10,7,4,6]=>101100110=>[1,2,1,3,1,2] [8,1,7,3,2,10,6,4,5,9]=>101101100=>[1,2,1,2,1,3] [7,1,2,3,10,5,6,9,8,4]=>100010011=>[1,4,3,1,1] [6,1,2,10,4,5,3,9,8,7]=>100101011=>[1,3,2,2,1,1] [8,1,2,3,10,5,9,6,7,4]=>100010101=>[1,4,2,2,1] [8,1,2,10,4,3,9,5,7,6]=>100110101=>[1,3,1,2,2,1] [7,1,2,10,4,9,5,3,6,8]=>100101100=>[1,3,2,1,3] [8,1,10,3,2,5,9,4,7,6]=>101100101=>[1,2,1,3,2,1] [7,1,10,3,2,9,4,5,6,8]=>101101000=>[1,2,1,2,4] [10,1,2,3,9,5,8,7,6,4]=>100010111=>[1,4,2,1,1,1] [10,1,2,9,4,3,8,7,5,6]=>100110110=>[1,3,1,2,1,2] [10,1,2,9,4,8,3,6,5,7]=>100101010=>[1,3,2,2,2] [9,1,2,8,4,7,6,5,3,10]=>100101110=>[1,3,2,1,1,2] [10,1,9,3,2,5,8,7,4,6]=>101100110=>[1,2,1,3,1,2] [10,1,9,3,2,8,5,6,4,7]=>101101010=>[1,2,1,2,2,2] [9,1,8,3,2,7,6,4,5,10]=>101101100=>[1,2,1,2,1,3] [8,1,2,3,10,9,5,7,6,4]=>100011011=>[1,4,1,2,1,1] [8,1,2,10,3,9,4,7,6,5]=>100101011=>[1,3,2,2,1,1] [7,1,2,10,9,4,6,3,5,8]=>100110100=>[1,3,1,2,3] [8,1,10,2,4,9,3,7,6,5]=>101001011=>[1,2,3,2,1,1] [7,1,10,2,9,3,6,4,5,8]=>101010100=>[1,2,2,2,3] [10,1,2,3,9,8,5,6,7,4]=>100011001=>[1,4,1,3,1] [10,1,2,9,3,8,4,6,7,5]=>100101001=>[1,3,2,3,1] [10,1,2,9,8,4,3,5,6,7]=>100111000=>[1,3,1,1,4] [9,1,2,8,7,4,5,6,3,10]=>100110010=>[1,3,1,3,2] [10,1,9,2,4,8,3,6,7,5]=>101001001=>[1,2,3,3,1] [10,1,9,2,8,3,4,5,6,7]=>101010000=>[1,2,2,5] [9,1,8,2,7,3,5,6,4,10]=>101010010=>[1,2,2,3,2] [10,1,9,8,3,2,6,4,5,7]=>101110100=>[1,2,1,1,2,3] [9,1,8,7,3,2,4,5,6,10]=>101110000=>[1,2,1,1,5] [8,10,1,3,4,9,2,7,6,5]=>010001011=>[2,4,2,1,1] [7,10,1,3,9,2,6,4,5,8]=>010010100=>[2,3,2,3] [10,9,1,3,4,8,2,6,7,5]=>110001001=>[1,1,4,3,1] [10,9,1,3,8,2,4,5,6,7]=>110010000=>[1,1,3,5] [9,8,1,3,7,2,5,6,4,10]=>110010010=>[1,1,3,3,2] [10,9,1,8,2,3,6,4,5,7]=>110100100=>[1,1,2,3,3] [9,8,1,7,2,3,4,5,6,10]=>110100000=>[1,1,2,6] [6,3,1,8,5,4,7,2]=>1101101=>[1,1,2,1,2,1] [6,1,3,8,7,4,5,2]=>1001101=>[1,3,1,2,1] [2,8,4,6,5,1,7,3]=>0101101=>[2,2,1,2,1] [7,4,1,3,6,5,2,8]=>1100110=>[1,1,3,1,2] [5,7,2,8,1,3,6,4]=>0101001=>[2,2,3,1] [6,5,1,4,7,3,2,8]=>1100110=>[1,1,3,1,2] [2,7,8,4,1,3,6,5]=>0011001=>[3,1,3,1] [2,4,6,5,7,8,1,3]=>0010010=>[3,3,2] [2,4,6,7,5,8,1,3]=>0001010=>[4,2,2] [2,4,6,3,7,8,1,5]=>0010010=>[3,3,2] [2,4,5,6,8,7,1,3]=>0000110=>[5,1,2] [2,4,5,6,8,3,7,1]=>0000101=>[5,2,1] [2,4,5,6,3,8,1,7]=>0001010=>[4,2,2] [2,3,4,6,8,5,1,7]=>0000110=>[5,1,2] [5,2,8,3,4,1,6,7]=>1010100=>[1,2,2,3] [3,6,4,1,2,7,8,5]=>0110001=>[2,1,4,1] [4,1,7,3,8,6,2,5]=>1010110=>[1,2,2,1,2] [8,4,1,2,5,3,7,6]=>1100101=>[1,1,3,2,1] [1,5,2,7,6,8,4,3]=>0101011=>[2,2,2,1,1] [4,7,6,8,3,1,2,5]=>0101100=>[2,2,1,3] [4,8,2,7,6,5,1,3]=>0101110=>[2,2,1,1,2] [7,4,2,8,6,5,1,3]=>1101110=>[1,1,2,1,1,2] [8,6,5,2,7,1,4,3]=>1110101=>[1,1,1,2,2,1] [6,5,8,2,7,1,4,3]=>1010101=>[1,2,2,2,1] [7,5,8,2,1,6,4,3]=>1011011=>[1,2,1,2,1,1] [3,2,1,6,5,8,4,7]=>1101010=>[1,1,2,2,2] [2,6,4,8,5,7,3,1]=>0101011=>[2,2,2,1,1] [6,3,1,4,5,8,2,7]=>1100010=>[1,1,4,2] [3,4,8,5,2,1,7,6]=>0011101=>[3,1,1,2,1] [4,8,7,1,3,2,6,5]=>0110101=>[2,1,2,2,1] [5,8,7,4,6,1,3,2]=>0110101=>[2,1,2,2,1] [3,4,1,8,7,6,2,5]=>0101110=>[2,2,1,1,2] [1,3,5,6,8,7,2,4]=>0000110=>[5,1,2] [2,8,7,5,4,1,6,3]=>0111101=>[2,1,1,1,2,1] [8,1,5,7,4,2,6,3]=>1001101=>[1,3,1,2,1] [5,8,7,3,4,1,6,2]=>0110101=>[2,1,2,2,1] [4,6,1,3,2,8,5,7]=>0101010=>[2,2,2,2] [2,6,5,8,3,1,4,7]=>0101100=>[2,2,1,3] [6,7,8,2,4,5,3,1]=>0010011=>[3,3,1,1] [3,2,8,4,5,7,1,6]=>1010010=>[1,2,3,2] [6,1,8,2,4,5,3,7]=>1010010=>[1,2,3,2] [8,3,6,4,2,7,1,5]=>1011010=>[1,2,1,2,2] [1,3,8,4,7,6,2,5]=>0010110=>[3,2,1,2] [8,3,7,5,4,1,2,6]=>1011100=>[1,2,1,1,3] [2,6,4,7,8,5,1,3]=>0100110=>[2,3,1,2] [5,4,3,7,6,1,8,2]=>1101101=>[1,1,2,1,2,1] [8,6,3,7,1,4,2,5]=>1101010=>[1,1,2,2,2] [3,1,2,8,7,6,4,5]=>1001110=>[1,3,1,1,2] [8,5,4,1,2,3,7,6]=>1110001=>[1,1,1,4,1] [8,3,2,1,6,4,7,5]=>1110101=>[1,1,1,2,2,1] [2,3,8,4,1,7,5,6]=>0011010=>[3,1,2,2] [4,6,1,3,2,7,8,5]=>0101001=>[2,2,3,1] [6,7,2,5,8,4,1,3]=>0100110=>[2,3,1,2] [4,1,7,8,2,5,6,3]=>1001001=>[1,3,3,1] [3,4,6,7,1,5,8,2]=>0001001=>[4,3,1] [3,4,5,7,8,1,6,2]=>0000101=>[5,2,1] [1,8,7,4,3,5,2,6]=>0111010=>[2,1,1,2,2] [2,4,5,8,1,3,7,6]=>0001001=>[4,3,1] [2,7,8,6,5,3,1,4]=>0011110=>[3,1,1,1,2] [6,3,1,5,8,4,2,7]=>1100110=>[1,1,3,1,2] [2,8,3,5,6,1,4,7]=>0100100=>[2,3,3] [1,3,6,4,2,7,5,8]=>0011010=>[3,1,2,2] [2,3,7,5,8,1,4,6]=>0010100=>[3,2,3] [3,2,8,5,6,1,4,7]=>1010100=>[1,2,2,3] [7,2,5,8,1,4,6,3]=>1001001=>[1,3,3,1] [4,7,5,8,1,2,6,3]=>0101001=>[2,2,3,1] [4,7,5,8,1,2,3,6]=>0101000=>[2,2,4] [3,4,7,5,2,8,1,6]=>0011010=>[3,1,2,2] [4,3,2,5,7,8,1,6]=>1100010=>[1,1,4,2] [2,4,7,5,8,3,1,6]=>0010110=>[3,2,1,2] [2,5,4,7,3,8,1,6]=>0101010=>[2,2,2,2] [3,7,8,4,2,1,6,5]=>0011101=>[3,1,1,2,1] [5,6,7,9,1,2,3,4,8]=>00010000=>[4,5] [4,5,6,7,9,1,2,3,8]=>00001000=>[5,4] [7,8,10,1,2,3,4,5,6,9]=>001000000=>[3,7] [4,5,6,7,8,10,1,2,3,9]=>000001000=>[6,4] [8,5,4,7,6,3,1,2]=>1101110=>[1,1,2,1,1,2] [1,5,4,8,7,6,2,3]=>0101110=>[2,2,1,1,2] [3,2,4,5,8,1,6,7]=>1000100=>[1,4,3] [3,6,8,4,2,7,1,5]=>0011010=>[3,1,2,2] [1,4,7,6,3,8,2,5]=>0011010=>[3,1,2,2] [3,6,5,1,7,2,8,4]=>0110101=>[2,1,2,2,1] [7,4,1,6,2,8,5,3]=>1101011=>[1,1,2,2,1,1] [1,3,6,8,2,4,7,5]=>0001001=>[4,3,1] [1,6,7,4,3,8,2,5]=>0011010=>[3,1,2,2] [7,3,1,6,5,2,8,4]=>1101101=>[1,1,2,1,2,1] [8,5,4,1,6,2,7,3]=>1110101=>[1,1,1,2,2,1] [4,7,2,8,5,1,6,3]=>0101101=>[2,2,1,2,1] [7,8,6,2,1,5,4,3]=>0111011=>[2,1,1,2,1,1] [8,6,2,7,3,5,1,4]=>1101010=>[1,1,2,2,2] [2,1,3,8,7,5,6,4]=>1001101=>[1,3,1,2,1] [8,1,7,3,6,5,2,4]=>1010110=>[1,2,2,1,2] [1,6,5,7,4,8,3,9,2]=>01010101=>[2,2,2,2,1] [5,4,6,3,8,2,7,1,9]=>10101010=>[1,2,2,2,2] [1,6,7,5,8,4,9,3,10,2]=>001010101=>[3,2,2,2,1] [6,5,7,4,8,3,9,2,10,1,11]=>1010101010=>[1,2,2,2,2,2] [1,6,4,7,3,8,5,2]=>0101011=>[2,2,2,1,1] [1,7,6,8,5,9,4,10,3,11,2]=>0101010101=>[2,2,2,2,2,1] [1,2,3,4,5,6,8,10,7,9]=>000000010=>[8,2] [3,4,5,6,7,8,2,1,9]=>00000110=>[6,1,2] [3,4,5,6,7,2,1,8,9]=>00001100=>[5,1,3] [4,5,6,7,8,1,2,3,9]=>00001000=>[5,4] [4,8,1,6,3,7,2,5]=>0101010=>[2,2,2,2] [8,5,4,1,6,3,7,2]=>1110101=>[1,1,1,2,2,1] [1,7,6,2,4,8,5,3]=>0110011=>[2,1,3,1,1] [5,7,3,2,4,8,6,1]=>0110011=>[2,1,3,1,1] [2,8,4,6,3,5,1,7]=>0101010=>[2,2,2,2] [2,7,8,3,6,4,5,1]=>0010101=>[3,2,2,1] [3,8,1,4,6,5,2,7]=>0100110=>[2,3,1,2] [2,7,5,4,1,8,3,6]=>0111010=>[2,1,1,2,2] [4,6,1,8,5,3,2,7]=>0101110=>[2,2,1,1,2] [3,8,5,2,1,6,4,7]=>0111010=>[2,1,1,2,2] [5,1,4,8,2,6,3,7]=>1001010=>[1,3,2,2] [4,5,8,1,3,7,6,2]=>0010011=>[3,3,1,1] [8,6,7,1,4,3,2,5]=>1010110=>[1,2,2,1,2] [1,4,7,8,6,3,5,2]=>0001101=>[4,1,2,1] [8,5,2,6,3,4,7,1]=>1101001=>[1,1,2,3,1] [8,3,6,1,2,7,4,5]=>1010010=>[1,2,3,2] [3,8,6,1,2,5,7,4]=>0110001=>[2,1,4,1] [3,7,6,2,1,8,5,4]=>0111011=>[2,1,1,2,1,1] [4,3,7,6,1,8,5,2]=>1011011=>[1,2,1,2,1,1] [8,6,3,2,7,1,5,4]=>1110101=>[1,1,1,2,2,1] [6,8,1,5,4,7,2,3]=>0101010=>[2,2,2,2] [6,7,2,5,4,8,1,3]=>0101010=>[2,2,2,2] [7,6,2,4,8,5,1,3]=>1100110=>[1,1,3,1,2] [4,6,8,7,3,1,2,5]=>0011100=>[3,1,1,3] [4,7,5,2,6,3,8,1]=>0110101=>[2,1,2,2,1] [3,5,6,2,8,1,4,7]=>0010100=>[3,2,3] [8,9,10,4,5,6,2,3,1,7]=>001001010=>[3,3,2,2] [8,9,4,5,6,10,2,3,1,7]=>010001010=>[2,4,2,2] [8,9,10,4,5,2,3,6,1,7]=>001010010=>[3,2,3,2] [8,9,4,5,10,2,3,6,1,7]=>010010010=>[2,3,3,2] [8,9,4,5,2,3,6,10,1,7]=>010100010=>[2,2,4,2] [8,4,5,9,10,2,3,6,1,7]=>100010010=>[1,4,3,2] [8,4,5,9,2,3,6,10,1,7]=>100100010=>[1,3,4,2] [8,9,10,4,5,6,2,1,3,7]=>001001100=>[3,3,1,3] [8,9,4,5,6,10,2,1,3,7]=>010001100=>[2,4,1,3] [8,9,10,4,5,2,6,1,3,7]=>001010100=>[3,2,2,3] [8,9,4,5,10,2,6,1,3,7]=>010010100=>[2,3,2,3] [8,9,4,5,2,6,10,1,3,7]=>010100100=>[2,2,3,3] [8,4,5,9,10,2,6,1,3,7]=>100010100=>[1,4,2,3] [8,4,5,9,2,6,10,1,3,7]=>100100100=>[1,3,3,3] [8,9,10,4,5,2,1,3,6,7]=>001011000=>[3,2,1,4] [8,9,4,5,10,2,1,3,6,7]=>010011000=>[2,3,1,4] [8,9,4,5,2,10,1,3,6,7]=>010101000=>[2,2,2,4] [8,9,4,5,2,1,3,6,10,7]=>010110001=>[2,2,1,4,1] [8,4,5,9,10,2,1,3,6,7]=>100011000=>[1,4,1,4] [8,4,5,9,2,10,1,3,6,7]=>100101000=>[1,3,2,4] [8,4,5,9,2,1,3,6,10,7]=>100110001=>[1,3,1,4,1] [8,9,10,4,2,5,6,1,3,7]=>001100100=>[3,1,3,3] [8,9,4,10,2,5,6,1,3,7]=>010100100=>[2,2,3,3] [8,9,4,2,5,6,10,1,3,7]=>011000100=>[2,1,4,3] [8,4,9,10,2,5,6,1,3,7]=>100100100=>[1,3,3,3] [8,4,9,2,5,6,10,1,3,7]=>101000100=>[1,2,4,3] [8,9,10,4,2,5,1,3,6,7]=>001101000=>[3,1,2,4] [8,9,4,10,2,5,1,3,6,7]=>010101000=>[2,2,2,4] [8,9,4,2,5,10,1,3,6,7]=>011001000=>[2,1,3,4] [8,9,4,2,5,1,3,6,10,7]=>011010001=>[2,1,2,4,1] [8,4,9,10,2,5,1,3,6,7]=>100101000=>[1,3,2,4] [8,4,9,2,5,1,3,6,10,7]=>101010001=>[1,2,2,4,1] [8,4,2,5,9,10,1,3,6,7]=>110001000=>[1,1,4,4] [8,4,2,5,9,1,3,6,10,7]=>110010001=>[1,1,3,4,1] [4,8,9,10,2,5,6,1,3,7]=>000100100=>[4,3,3] [4,8,9,2,5,6,10,1,3,7]=>001000100=>[3,4,3] [4,8,9,10,2,5,1,3,6,7]=>000101000=>[4,2,4] [4,8,9,2,5,10,1,3,6,7]=>001001000=>[3,3,4] [4,8,9,2,5,1,3,6,10,7]=>001010001=>[3,2,4,1] [4,8,2,5,9,10,1,3,6,7]=>010001000=>[2,4,4] [4,8,2,5,9,1,3,6,10,7]=>010010001=>[2,3,4,1] [5,1,2,4,3,7,6,8]=>1001010=>[1,3,2,2] [6,1,8,2,4,3,5,7]=>1010100=>[1,2,2,3] [1,6,8,2,5,3,4,7]=>0010100=>[3,2,3] [8,7,6,2,4,5,1,3]=>1110010=>[1,1,1,3,2] [8,7,6,2,4,5,3,1]=>1110011=>[1,1,1,3,1,1] [5,4,8,7,1,2,6,3]=>1011001=>[1,2,1,3,1] [2,5,6,4,3,8,1,7]=>0011010=>[3,1,2,2] [8,7,3,5,1,4,6,2]=>1101001=>[1,1,2,3,1] [8,6,3,5,2,1,4,7]=>1101100=>[1,1,2,1,3] [8,7,3,5,2,4,6,1]=>1101001=>[1,1,2,3,1] [8,4,2,7,6,5,1,3]=>1101110=>[1,1,2,1,1,2] [4,6,3,8,5,2,7,1]=>0101101=>[2,2,1,2,1] [8,7,1,4,5,6,2,3]=>1100010=>[1,1,4,2] [4,1,3,8,5,6,2,7]=>1001010=>[1,3,2,2] [5,2,8,3,1,6,7,4]=>1011001=>[1,2,1,3,1] [1,7,8,6,3,2,5,4]=>0011101=>[3,1,1,2,1] [3,7,2,4,5,6,1,8]=>0100010=>[2,4,2] [3,2,8,1,5,7,4,6]=>1010010=>[1,2,3,2] [3,4,6,7,2,1,5,8]=>0001100=>[4,1,3] [2,6,7,1,4,3,8,5]=>0010101=>[3,2,2,1] [3,2,7,4,8,5,6,1]=>1010101=>[1,2,2,2,1] [6,3,8,5,4,2,7,1]=>1011101=>[1,2,1,1,2,1] [7,4,6,1,3,5,2,8]=>1010010=>[1,2,3,2] [1,5,3,8,7,4,6,2]=>0101101=>[2,2,1,2,1] [5,1,3,8,7,4,6,2]=>1001101=>[1,3,1,2,1] [2,5,3,8,7,4,1,6]=>0101110=>[2,2,1,1,2] [6,8,3,5,1,2,7,4]=>0101001=>[2,2,3,1] [5,8,2,7,4,6,3,1]=>0101011=>[2,2,2,1,1] [4,5,2,8,3,7,1,6]=>0101010=>[2,2,2,2] [7,8,5,1,6,4,3,2]=>0110111=>[2,1,2,1,1,1] [8,7,5,1,6,4,3,2]=>1110111=>[1,1,1,2,1,1,1] [4,5,8,3,1,2,7,6]=>0011001=>[3,1,3,1] [4,6,8,3,2,1,7,5]=>0011101=>[3,1,1,2,1] [4,6,8,3,5,1,2,7]=>0010100=>[3,2,3] [1,4,6,3,7,5,2,8]=>0010110=>[3,2,1,2] [4,5,2,6,8,7,3,1]=>0100111=>[2,3,1,1,1] [1,3,8,7,4,5,6,2]=>0011001=>[3,1,3,1] [7,3,1,8,4,5,6,2]=>1101001=>[1,1,2,3,1] [3,2,8,7,4,5,6,1]=>1011001=>[1,2,1,3,1] [6,2,4,3,7,5,8,1]=>1010101=>[1,2,2,2,1] [6,4,2,5,1,7,8,3]=>1101001=>[1,1,2,3,1] [3,8,2,1,5,7,6,4]=>0110011=>[2,1,3,1,1] [1,3,2,8,7,4,6,5]=>0101101=>[2,2,1,2,1] [7,5,2,8,3,1,6,4]=>1101101=>[1,1,2,1,2,1] [5,4,2,7,3,8,6,1]=>1101011=>[1,1,2,2,1,1] [4,6,3,7,8,1,2,5]=>0100100=>[2,3,3] [8,3,5,4,7,1,2,6]=>1010100=>[1,2,2,3] [6,2,5,4,1,7,8,3]=>1011001=>[1,2,1,3,1] [4,1,5,6,3,8,7,2]=>1001011=>[1,3,2,1,1] [8,5,1,6,3,2,4,7]=>1101100=>[1,1,2,1,3] [6,8,7,4,3,2,5,1]=>0111101=>[2,1,1,1,2,1] [2,8,5,1,3,7,6,4]=>0110011=>[2,1,3,1,1] [5,6,4,1,8,2,7,3]=>0110101=>[2,1,2,2,1] [6,4,5,1,3,8,7,2]=>1010011=>[1,2,3,1,1] [6,1,3,5,4,8,2,7]=>1001010=>[1,3,2,2] [1,3,8,7,2,5,6,4]=>0011001=>[3,1,3,1] [2,5,4,1,8,3,7,6]=>0110101=>[2,1,2,2,1] [5,1,4,8,3,7,6,2]=>1001011=>[1,3,2,1,1] [8,4,1,2,7,6,5,3]=>1100111=>[1,1,3,1,1,1] [4,8,3,2,7,6,5,1]=>0110111=>[2,1,2,1,1,1] [1,8,7,3,4,6,5,2]=>0110011=>[2,1,3,1,1] [4,3,1,2,6,5,8,7,9]=>11001010=>[1,1,3,2,2] [6,5,3,1,2,4,8,7,9]=>11100010=>[1,1,1,4,2] [8,7,5,3,1,2,4,6,9]=>11110000=>[1,1,1,1,5] [7,5,3,1,2,4,6,9,8]=>11100001=>[1,1,1,5,1] [5,3,1,2,4,7,6,9,8]=>11000101=>[1,1,4,2,1] [4,1,2,6,5,3,8,7,9]=>10011010=>[1,3,1,2,2] [6,5,3,1,2,4,8,7,10,9]=>111000101=>[1,1,1,4,2,1] [6,3,1,2,4,8,7,5,9]=>11000110=>[1,1,4,1,2] [8,7,5,3,1,2,4,6,10,9]=>111100001=>[1,1,1,1,5,1] [8,5,3,1,2,4,6,9,7]=>11100001=>[1,1,1,5,1] [10,9,7,5,3,1,2,4,6,8]=>111110000=>[1,1,1,1,1,5] [5,3,1,2,4,6,8,7]=>1100001=>[1,1,5,1] [8,5,7,3,1,2,4,6]=>1011000=>[1,2,1,4] [7,5,3,1,2,4,6,8,9]=>11100000=>[1,1,1,6] [3,1,2,8,7,5,4,6]=>1001110=>[1,3,1,1,2] [5,3,1,2,4,9,7,6,8]=>11000110=>[1,1,4,1,2] [7,5,3,1,2,4,6,9,8,10]=>111000010=>[1,1,1,5,2] [3,1,2,7,5,4,6,9,8]=>10011001=>[1,3,1,3,1] [5,3,1,2,4,7,6,9,8,10]=>110001010=>[1,1,4,2,2] [1,5,3,2,4,7,6,9,8]=>01100101=>[2,1,3,2,1] [1,4,3,8,5,7,2,6]=>0101010=>[2,2,2,2] [6,7,1,5,2,8,4,3]=>0101011=>[2,2,2,1,1] [1,5,3,7,6,4,8,2]=>0101101=>[2,2,1,2,1] [4,8,1,3,6,2,7,5]=>0100101=>[2,3,2,1] [2,7,3,4,8,6,5,1]=>0100111=>[2,3,1,1,1] [1,8,2,4,7,3,6,5]=>0100101=>[2,3,2,1] [6,2,3,8,1,5,7,4]=>1001001=>[1,3,3,1] [2,5,7,4,8,3,6,1]=>0010101=>[3,2,2,1] [8,5,6,2,4,7,1,3]=>1010010=>[1,2,3,2] [4,8,5,6,7,1,3,2]=>0100101=>[2,3,2,1] [8,1,5,7,3,6,4,2]=>1001011=>[1,3,2,1,1] [2,7,6,4,3,8,5,1]=>0111011=>[2,1,1,2,1,1] [3,8,6,2,7,5,4,1]=>0110111=>[2,1,2,1,1,1] [4,8,1,6,2,5,3,7]=>0101010=>[2,2,2,2] [1,8,4,2,5,7,3,6]=>0110010=>[2,1,3,2] [5,8,3,1,2,4,6,7]=>0110000=>[2,1,5] [1,4,8,5,2,3,6,7]=>0011000=>[3,1,4] [1,4,8,5,2,3,7,6]=>0011001=>[3,1,3,1] [1,5,8,7,2,4,3,6]=>0011010=>[3,1,2,2] [1,5,4,2,8,3,7,6]=>0110101=>[2,1,2,2,1] [1,2,8,7,3,5,4,6]=>0011010=>[3,1,2,2] [8,7,1,3,2,5,4,6]=>1101010=>[1,1,2,2,2] [6,7,4,2,8,1,3,5]=>0110100=>[2,1,2,3] [4,1,6,8,7,2,3,5]=>1001100=>[1,3,1,3] [4,7,5,6,2,8,3,1]=>0101011=>[2,2,2,1,1] [8,4,3,6,7,5,2,1]=>1100111=>[1,1,3,1,1,1] [6,7,5,2,8,4,3,1]=>0110111=>[2,1,2,1,1,1] [6,8,4,3,2,7,5,1]=>0111011=>[2,1,1,2,1,1] [2,1,4,3,6,5,9,7,10,8]=>101010101=>[1,2,2,2,2,1] [2,1,4,3,7,5,8,6,10,9]=>101010101=>[1,2,2,2,2,1] [2,1,4,3,7,5,9,6,10,8]=>101010101=>[1,2,2,2,2,1] [2,1,4,3,8,5,9,6,10,7]=>101010101=>[1,2,2,2,2,1] [2,1,5,3,6,4,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [2,1,5,3,6,4,9,7,10,8]=>101010101=>[1,2,2,2,2,1] [2,1,5,3,7,4,8,6,10,9]=>101010101=>[1,2,2,2,2,1] [2,1,5,3,7,4,9,6,10,8]=>101010101=>[1,2,2,2,2,1] [2,1,5,3,8,4,9,6,10,7]=>101010101=>[1,2,2,2,2,1] [2,1,6,3,7,4,8,5,10,9]=>101010101=>[1,2,2,2,2,1] [2,1,6,3,7,4,9,5,10,8]=>101010101=>[1,2,2,2,2,1] [2,1,6,3,8,4,9,5,10,7]=>101010101=>[1,2,2,2,2,1] [2,1,7,3,8,4,9,5,10,6]=>101010101=>[1,2,2,2,2,1] [3,1,4,2,6,5,9,7,10,8]=>101010101=>[1,2,2,2,2,1] [3,1,4,2,7,5,8,6,10,9]=>101010101=>[1,2,2,2,2,1] [3,1,4,2,7,5,9,6,10,8]=>101010101=>[1,2,2,2,2,1] [3,1,4,2,8,5,9,6,10,7]=>101010101=>[1,2,2,2,2,1] [3,1,5,2,6,4,9,7,10,8]=>101010101=>[1,2,2,2,2,1] [3,1,5,2,8,4,9,6,10,7]=>101010101=>[1,2,2,2,2,1] [3,1,6,2,7,4,8,5,10,9]=>101010101=>[1,2,2,2,2,1] [3,1,6,2,7,4,9,5,10,8]=>101010101=>[1,2,2,2,2,1] [3,1,6,2,8,4,9,5,10,7]=>101010101=>[1,2,2,2,2,1] [3,1,7,2,8,4,9,5,10,6]=>101010101=>[1,2,2,2,2,1] [4,1,5,2,6,3,9,7,10,8]=>101010101=>[1,2,2,2,2,1] [4,1,5,2,7,3,8,6,10,9]=>101010101=>[1,2,2,2,2,1] [4,1,5,2,7,3,9,6,10,8]=>101010101=>[1,2,2,2,2,1] [4,1,5,2,8,3,9,6,10,7]=>101010101=>[1,2,2,2,2,1] [4,1,6,2,7,3,8,5,10,9]=>101010101=>[1,2,2,2,2,1] [4,1,6,2,7,3,9,5,10,8]=>101010101=>[1,2,2,2,2,1] [4,1,6,2,8,3,9,5,10,7]=>101010101=>[1,2,2,2,2,1] [4,1,7,2,8,3,9,5,10,6]=>101010101=>[1,2,2,2,2,1] [5,1,6,2,7,3,9,4,10,8]=>101010101=>[1,2,2,2,2,1] [5,1,6,2,8,3,9,4,10,7]=>101010101=>[1,2,2,2,2,1] [5,1,7,2,8,3,9,4,10,6]=>101010101=>[1,2,2,2,2,1] [2,1,4,3,6,5,8,7,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,6,5,9,7,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,6,5,9,7,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,6,5,10,7,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,7,5,8,6,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,7,5,8,6,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,7,5,9,6,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,7,5,9,6,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,7,5,10,6,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,8,5,9,6,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,8,5,9,6,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,8,5,10,6,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,9,5,10,6,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,6,4,8,7,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,6,4,8,7,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,6,4,9,7,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,6,4,9,7,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,6,4,10,7,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,7,4,8,6,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,7,4,8,6,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,7,4,9,6,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,7,4,9,6,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,7,4,10,6,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,8,4,9,6,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,8,4,9,6,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,8,4,10,6,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,5,3,9,4,10,6,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,7,4,8,5,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,7,4,8,5,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,7,4,9,5,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,7,4,9,5,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,7,4,10,5,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,8,4,9,5,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,8,4,9,5,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,8,4,10,5,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,9,4,10,5,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [2,1,7,3,8,4,9,5,10,6,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,7,3,8,4,9,5,11,6,12,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,7,3,8,4,10,5,11,6,12,9]=>10101010101=>[1,2,2,2,2,2,1] [2,1,7,3,9,4,10,5,11,6,12,8]=>10101010101=>[1,2,2,2,2,2,1] [2,1,8,3,9,4,10,5,11,6,12,7]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,6,5,8,7,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,6,5,8,7,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,6,5,9,7,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,6,5,9,7,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,6,5,10,7,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,7,5,8,6,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,7,5,8,6,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,7,5,9,6,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,7,5,9,6,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,7,5,10,6,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,8,5,9,6,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,8,5,9,6,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,8,5,10,6,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,4,2,9,5,10,6,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,6,4,8,7,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,6,4,8,7,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,6,4,9,7,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,6,4,9,7,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,6,4,10,7,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,7,4,8,6,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,7,4,8,6,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,7,4,9,6,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,7,4,9,6,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,7,4,10,6,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,8,4,9,6,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,8,4,9,6,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,8,4,10,6,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,5,2,9,4,10,6,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,7,4,8,5,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,7,4,8,5,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,7,4,9,5,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,7,4,9,5,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,7,4,10,5,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,8,4,9,5,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,8,4,9,5,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,8,4,10,5,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,6,2,9,4,10,5,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [3,1,7,2,8,4,9,5,10,6,12,11]=>10101010101=>[1,2,2,2,2,2,1] [3,1,7,2,8,4,9,5,11,6,12,10]=>10101010101=>[1,2,2,2,2,2,1] [3,1,7,2,8,4,10,5,11,6,12,9]=>10101010101=>[1,2,2,2,2,2,1] [3,1,7,2,9,4,10,5,11,6,12,8]=>10101010101=>[1,2,2,2,2,2,1] [3,1,8,2,9,4,10,5,11,6,12,7]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,6,3,8,7,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,6,3,8,7,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,6,3,9,7,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,6,3,9,7,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,6,3,10,7,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,7,3,8,6,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,7,3,8,6,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,7,3,9,6,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,7,3,9,6,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,7,3,10,6,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,8,3,9,6,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,8,3,9,6,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,8,3,10,6,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [4,1,5,2,9,3,10,6,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,7,3,8,5,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,7,3,8,5,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,7,3,9,5,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,7,3,9,5,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,7,3,10,5,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,8,3,9,5,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,8,3,9,5,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,8,3,10,5,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [4,1,6,2,9,3,10,5,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [4,1,7,2,8,3,9,5,10,6,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,7,2,8,3,9,5,11,6,12,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,7,2,8,3,10,5,11,6,12,9]=>10101010101=>[1,2,2,2,2,2,1] [4,1,7,2,9,3,10,5,11,6,12,8]=>10101010101=>[1,2,2,2,2,2,1] [4,1,8,2,9,3,10,5,11,6,12,7]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,7,3,8,4,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,7,3,8,4,11,9,12,10]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,7,3,9,4,10,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,7,3,9,4,11,8,12,10]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,7,3,10,4,11,8,12,9]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,8,3,9,4,10,7,12,11]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,8,3,9,4,11,7,12,10]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,8,3,10,4,11,7,12,9]=>10101010101=>[1,2,2,2,2,2,1] [5,1,6,2,9,3,10,4,11,7,12,8]=>10101010101=>[1,2,2,2,2,2,1] [5,1,7,2,8,3,9,4,10,6,12,11]=>10101010101=>[1,2,2,2,2,2,1] [5,1,7,2,8,3,9,4,11,6,12,10]=>10101010101=>[1,2,2,2,2,2,1] [5,1,7,2,8,3,10,4,11,6,12,9]=>10101010101=>[1,2,2,2,2,2,1] [5,1,7,2,9,3,10,4,11,6,12,8]=>10101010101=>[1,2,2,2,2,2,1] [5,1,8,2,9,3,10,4,11,6,12,7]=>10101010101=>[1,2,2,2,2,2,1] [6,1,7,2,8,3,9,4,10,5,12,11]=>10101010101=>[1,2,2,2,2,2,1] [6,1,7,2,8,3,9,4,11,5,12,10]=>10101010101=>[1,2,2,2,2,2,1] [6,1,7,2,8,3,10,4,11,5,12,9]=>10101010101=>[1,2,2,2,2,2,1] [6,1,7,2,9,3,10,4,11,5,12,8]=>10101010101=>[1,2,2,2,2,2,1] [6,1,8,2,9,3,10,4,11,5,12,7]=>10101010101=>[1,2,2,2,2,2,1] [2,9,8,7,6,5,1,4,3]=>01111101=>[2,1,1,1,1,2,1] [2,10,9,8,7,6,5,1,4,3]=>011111101=>[2,1,1,1,1,1,2,1] [6,1,7,3,5,8,2,4]=>1010010=>[1,2,3,2] [1,3,7,6,4,8,2,5]=>0011010=>[3,1,2,2] [2,6,4,8,7,3,1,5]=>0101110=>[2,2,1,1,2] [2,1,8,7,3,5,4,6]=>1011010=>[1,2,1,2,2] [6,1,5,8,7,4,3,2]=>1001111=>[1,3,1,1,1,1] [6,1,8,5,7,4,3,2]=>1010111=>[1,2,2,1,1,1] [8,5,1,4,7,6,3,2]=>1100111=>[1,1,3,1,1,1] [8,1,3,7,2,4,6,5]=>1001001=>[1,3,3,1] [2,6,7,3,5,8,4,1]=>0010011=>[3,3,1,1] [2,6,7,3,5,8,1,4]=>0010010=>[3,3,2] [5,3,1,6,4,8,2,7]=>1101010=>[1,1,2,2,2] [2,5,6,7,1,4,8,3]=>0001001=>[4,3,1] [4,7,5,3,2,8,1,6]=>0111010=>[2,1,1,2,2] [4,7,5,2,8,6,1,3]=>0110110=>[2,1,2,1,2] [5,8,1,2,7,4,3,6]=>0100110=>[2,3,1,2] [6,3,1,8,2,4,5,7]=>1101000=>[1,1,2,4] [4,6,3,7,8,1,5,2]=>0100101=>[2,3,2,1] [6,3,1,8,4,5,2,7]=>1101010=>[1,1,2,2,2] [2,1,4,7,5,8,6,3]=>1001011=>[1,3,2,1,1] [7,6,2,4,8,3,1,5]=>1100110=>[1,1,3,1,2] [6,5,8,1,4,3,7,2]=>1010101=>[1,2,2,2,1] [8,1,4,2,7,5,6,3]=>1010101=>[1,2,2,2,1] [9,3,4,5,6,7,1,2,10,8]=>100001001=>[1,5,3,1] [1,7,2,8,3,9,4,10,5,6]=>010101010=>[2,2,2,2,2] [1,7,2,8,3,9,10,4,5,6]=>010100100=>[2,2,3,3] [1,7,2,8,9,3,4,10,5,6]=>010010010=>[2,3,3,2] [1,7,2,8,9,3,10,4,5,6]=>010010100=>[2,3,2,3] [1,7,2,8,9,10,3,4,5,6]=>010001000=>[2,4,4] [1,7,8,2,3,9,4,10,5,6]=>001001010=>[3,3,2,2] [1,7,8,2,3,9,10,4,5,6]=>001000100=>[3,4,3] [1,7,8,2,9,3,4,10,5,6]=>001010010=>[3,2,3,2] [1,7,8,2,9,3,10,4,5,6]=>001010100=>[3,2,2,3] [1,7,8,2,9,10,3,4,5,6]=>001001000=>[3,3,4] [1,7,8,9,2,3,4,10,5,6]=>000100010=>[4,4,2] [1,7,8,9,2,3,10,4,5,6]=>000100100=>[4,3,3] [1,7,8,9,2,10,3,4,5,6]=>000101000=>[4,2,4] [7,1,2,8,3,9,4,10,5,6]=>100101010=>[1,3,2,2,2] [7,1,2,8,3,9,10,4,5,6]=>100100100=>[1,3,3,3] [7,1,2,8,9,3,4,10,5,6]=>100010010=>[1,4,3,2] [7,1,2,8,9,3,10,4,5,6]=>100010100=>[1,4,2,3] [7,1,2,8,9,10,3,4,5,6]=>100001000=>[1,5,4] [7,1,8,2,3,9,4,10,5,6]=>101001010=>[1,2,3,2,2] [7,1,8,2,3,9,10,4,5,6]=>101000100=>[1,2,4,3] [7,1,8,2,9,3,4,10,5,6]=>101010010=>[1,2,2,3,2] [7,1,8,2,9,10,3,4,5,6]=>101001000=>[1,2,3,4] [7,1,8,9,2,3,4,10,5,6]=>100100010=>[1,3,4,2] [7,1,8,9,2,3,10,4,5,6]=>100100100=>[1,3,3,3] [7,1,8,9,2,10,3,4,5,6]=>100101000=>[1,3,2,4] [7,1,8,9,10,2,3,4,5,6]=>100010000=>[1,4,5] [7,8,1,2,3,9,4,10,5,6]=>010001010=>[2,4,2,2] [7,8,1,2,3,9,10,4,5,6]=>010000100=>[2,5,3] [7,8,1,2,9,3,4,10,5,6]=>010010010=>[2,3,3,2] [7,8,1,2,9,3,10,4,5,6]=>010010100=>[2,3,2,3] [7,8,1,2,9,10,3,4,5,6]=>010001000=>[2,4,4] [7,8,1,9,2,3,4,10,5,6]=>010100010=>[2,2,4,2] [7,8,1,9,2,3,10,4,5,6]=>010100100=>[2,2,3,3] [7,8,1,9,2,10,3,4,5,6]=>010101000=>[2,2,2,4] [7,8,1,9,10,2,3,4,5,6]=>010010000=>[2,3,5] [7,8,9,1,2,3,4,10,5,6]=>001000010=>[3,5,2] [7,8,9,1,2,3,10,4,5,6]=>001000100=>[3,4,3] [7,8,9,1,2,10,3,4,5,6]=>001001000=>[3,3,4] [7,8,9,1,10,2,3,4,5,6]=>001010000=>[3,2,5] [1,8,2,9,3,10,4,11,5,12,6,7]=>01010101010=>[2,2,2,2,2,2] [1,8,2,9,3,10,4,11,12,5,6,7]=>01010100100=>[2,2,2,3,3] [1,8,2,9,3,10,11,4,5,12,6,7]=>01010010010=>[2,2,3,3,2] [1,8,2,9,3,10,11,4,12,5,6,7]=>01010010100=>[2,2,3,2,3] [1,8,2,9,3,10,11,12,4,5,6,7]=>01010001000=>[2,2,4,4] [1,8,2,9,10,3,4,11,5,12,6,7]=>01001001010=>[2,3,3,2,2] [1,8,2,9,10,3,4,11,12,5,6,7]=>01001000100=>[2,3,4,3] [1,8,2,9,10,3,11,4,5,12,6,7]=>01001010010=>[2,3,2,3,2] [1,8,2,9,10,3,11,4,12,5,6,7]=>01001010100=>[2,3,2,2,3] [1,8,2,9,10,3,11,12,4,5,6,7]=>01001001000=>[2,3,3,4] [1,8,2,9,10,11,3,4,5,12,6,7]=>01000100010=>[2,4,4,2] [1,8,2,9,10,11,3,4,12,5,6,7]=>01000100100=>[2,4,3,3] [1,8,2,9,10,11,3,12,4,5,6,7]=>01000101000=>[2,4,2,4] [1,8,2,9,10,11,12,3,4,5,6,7]=>01000010000=>[2,5,5] [1,8,9,2,3,10,4,11,5,12,6,7]=>00100101010=>[3,3,2,2,2] [1,8,9,2,3,10,4,11,12,5,6,7]=>00100100100=>[3,3,3,3] [1,8,9,2,3,10,11,4,5,12,6,7]=>00100010010=>[3,4,3,2] [1,8,9,2,3,10,11,4,12,5,6,7]=>00100010100=>[3,4,2,3] [1,8,9,2,3,10,11,12,4,5,6,7]=>00100001000=>[3,5,4] [1,8,9,2,10,3,4,11,5,12,6,7]=>00101001010=>[3,2,3,2,2] [1,8,9,2,10,3,4,11,12,5,6,7]=>00101000100=>[3,2,4,3] [1,8,9,2,10,3,11,4,5,12,6,7]=>00101010010=>[3,2,2,3,2] [1,8,9,2,10,3,11,4,12,5,6,7]=>00101010100=>[3,2,2,2,3] [1,8,9,2,10,3,11,12,4,5,6,7]=>00101001000=>[3,2,3,4] [1,8,9,2,10,11,3,4,5,12,6,7]=>00100100010=>[3,3,4,2] [1,8,9,2,10,11,3,4,12,5,6,7]=>00100100100=>[3,3,3,3] [1,8,9,2,10,11,3,12,4,5,6,7]=>00100101000=>[3,3,2,4] [1,8,9,2,10,11,12,3,4,5,6,7]=>00100010000=>[3,4,5] [1,8,9,10,2,3,4,11,5,12,6,7]=>00010001010=>[4,4,2,2] [1,8,9,10,2,3,4,11,12,5,6,7]=>00010000100=>[4,5,3] [1,8,9,10,2,3,11,4,5,12,6,7]=>00010010010=>[4,3,3,2] [1,8,9,10,2,3,11,4,12,5,6,7]=>00010010100=>[4,3,2,3] [1,8,9,10,2,3,11,12,4,5,6,7]=>00010001000=>[4,4,4] [1,8,9,10,2,11,3,4,5,12,6,7]=>00010100010=>[4,2,4,2] [1,8,9,10,2,11,3,4,12,5,6,7]=>00010100100=>[4,2,3,3] [1,8,9,10,2,11,3,12,4,5,6,7]=>00010101000=>[4,2,2,4] [1,8,9,10,2,11,12,3,4,5,6,7]=>00010010000=>[4,3,5] [1,8,9,10,11,2,3,4,5,12,6,7]=>00001000010=>[5,5,2] [1,8,9,10,11,2,3,4,12,5,6,7]=>00001000100=>[5,4,3] [1,8,9,10,11,2,3,12,4,5,6,7]=>00001001000=>[5,3,4] [1,8,9,10,11,2,12,3,4,5,6,7]=>00001010000=>[5,2,5] [1,8,9,10,11,12,2,3,4,5,6,7]=>00000100000=>[6,6] [8,1,2,9,3,10,4,11,5,12,6,7]=>10010101010=>[1,3,2,2,2,2] [8,1,2,9,3,10,4,11,12,5,6,7]=>10010100100=>[1,3,2,3,3] [8,1,2,9,3,10,11,4,5,12,6,7]=>10010010010=>[1,3,3,3,2] [8,1,2,9,3,10,11,4,12,5,6,7]=>10010010100=>[1,3,3,2,3] [8,1,2,9,3,10,11,12,4,5,6,7]=>10010001000=>[1,3,4,4] [8,1,2,9,10,3,4,11,5,12,6,7]=>10001001010=>[1,4,3,2,2] [8,1,2,9,10,3,4,11,12,5,6,7]=>10001000100=>[1,4,4,3] [8,1,2,9,10,3,11,4,5,12,6,7]=>10001010010=>[1,4,2,3,2] [8,1,2,9,10,3,11,4,12,5,6,7]=>10001010100=>[1,4,2,2,3] [8,1,2,9,10,3,11,12,4,5,6,7]=>10001001000=>[1,4,3,4] [8,1,2,9,10,11,3,4,5,12,6,7]=>10000100010=>[1,5,4,2] [8,1,2,9,10,11,3,4,12,5,6,7]=>10000100100=>[1,5,3,3] [8,1,2,9,10,11,3,12,4,5,6,7]=>10000101000=>[1,5,2,4] [8,1,2,9,10,11,12,3,4,5,6,7]=>10000010000=>[1,6,5] [8,1,9,2,3,10,4,11,5,12,6,7]=>10100101010=>[1,2,3,2,2,2] [8,1,9,2,3,10,4,11,12,5,6,7]=>10100100100=>[1,2,3,3,3] [8,1,9,2,3,10,11,4,5,12,6,7]=>10100010010=>[1,2,4,3,2] [8,1,9,2,3,10,11,4,12,5,6,7]=>10100010100=>[1,2,4,2,3] [8,1,9,2,3,10,11,12,4,5,6,7]=>10100001000=>[1,2,5,4] [8,1,9,2,10,3,4,11,5,12,6,7]=>10101001010=>[1,2,2,3,2,2] [8,1,9,2,10,3,4,11,12,5,6,7]=>10101000100=>[1,2,2,4,3] [8,1,9,2,10,3,11,4,5,12,6,7]=>10101010010=>[1,2,2,2,3,2] [8,1,9,2,10,3,11,4,12,5,6,7]=>10101010100=>[1,2,2,2,2,3] [8,1,9,2,10,11,3,4,5,12,6,7]=>10100100010=>[1,2,3,4,2] [8,1,9,2,10,11,3,4,12,5,6,7]=>10100100100=>[1,2,3,3,3] [8,1,9,10,2,3,4,11,5,12,6,7]=>10010001010=>[1,3,4,2,2] [8,1,9,10,2,3,4,11,12,5,6,7]=>10010000100=>[1,3,5,3] [8,1,9,10,2,3,11,4,5,12,6,7]=>10010010010=>[1,3,3,3,2] [8,1,9,10,2,3,11,4,12,5,6,7]=>10010010100=>[1,3,3,2,3] [8,1,9,10,2,3,11,12,4,5,6,7]=>10010001000=>[1,3,4,4] [8,1,9,10,2,11,3,4,5,12,6,7]=>10010100010=>[1,3,2,4,2] [8,1,9,10,2,11,3,4,12,5,6,7]=>10010100100=>[1,3,2,3,3] [8,1,9,10,11,2,3,4,5,12,6,7]=>10001000010=>[1,4,5,2] [8,1,9,10,11,2,3,4,12,5,6,7]=>10001000100=>[1,4,4,3] [8,1,9,10,11,2,3,12,4,5,6,7]=>10001001000=>[1,4,3,4] [8,9,1,2,3,10,4,11,5,12,6,7]=>01000101010=>[2,4,2,2,2] [8,9,1,2,3,10,4,11,12,5,6,7]=>01000100100=>[2,4,3,3] [8,9,1,2,3,10,11,4,5,12,6,7]=>01000010010=>[2,5,3,2] [8,9,1,2,3,10,11,4,12,5,6,7]=>01000010100=>[2,5,2,3] [8,9,1,2,3,10,11,12,4,5,6,7]=>01000001000=>[2,6,4] [8,9,1,2,10,3,4,11,5,12,6,7]=>01001001010=>[2,3,3,2,2] [8,9,1,2,10,3,4,11,12,5,6,7]=>01001000100=>[2,3,4,3] [8,9,1,2,10,3,11,4,5,12,6,7]=>01001010010=>[2,3,2,3,2] [8,9,1,2,10,3,11,4,12,5,6,7]=>01001010100=>[2,3,2,2,3] [8,9,1,2,10,3,11,12,4,5,6,7]=>01001001000=>[2,3,3,4] [8,9,1,2,10,11,3,4,5,12,6,7]=>01000100010=>[2,4,4,2] [8,9,1,2,10,11,3,4,12,5,6,7]=>01000100100=>[2,4,3,3] [8,9,1,2,10,11,3,12,4,5,6,7]=>01000101000=>[2,4,2,4] [8,9,1,2,10,11,12,3,4,5,6,7]=>01000010000=>[2,5,5] [8,9,1,10,2,3,4,11,5,12,6,7]=>01010001010=>[2,2,4,2,2] [8,9,1,10,2,3,4,11,12,5,6,7]=>01010000100=>[2,2,5,3] [8,9,1,10,2,3,11,4,5,12,6,7]=>01010010010=>[2,2,3,3,2] [8,9,1,10,2,3,11,4,12,5,6,7]=>01010010100=>[2,2,3,2,3] [8,9,1,10,2,3,11,12,4,5,6,7]=>01010001000=>[2,2,4,4] [8,9,1,10,2,11,3,4,5,12,6,7]=>01010100010=>[2,2,2,4,2] [8,9,1,10,2,11,3,4,12,5,6,7]=>01010100100=>[2,2,2,3,3] [8,9,1,10,2,11,3,12,4,5,6,7]=>01010101000=>[2,2,2,2,4] [8,9,1,10,11,2,3,4,5,12,6,7]=>01001000010=>[2,3,5,2] [8,9,1,10,11,2,3,4,12,5,6,7]=>01001000100=>[2,3,4,3] [8,9,1,10,11,2,3,12,4,5,6,7]=>01001001000=>[2,3,3,4] [8,9,1,10,11,12,2,3,4,5,6,7]=>01000100000=>[2,4,6] [8,9,10,1,2,3,4,11,5,12,6,7]=>00100001010=>[3,5,2,2] [8,9,10,1,2,3,4,11,12,5,6,7]=>00100000100=>[3,6,3] [8,9,10,1,2,3,11,4,5,12,6,7]=>00100010010=>[3,4,3,2] [8,9,10,1,2,3,11,4,12,5,6,7]=>00100010100=>[3,4,2,3] [8,9,10,1,2,3,11,12,4,5,6,7]=>00100001000=>[3,5,4] [8,9,10,1,2,11,3,4,5,12,6,7]=>00100100010=>[3,3,4,2] [8,9,10,1,2,11,3,4,12,5,6,7]=>00100100100=>[3,3,3,3] [8,9,10,1,2,11,3,12,4,5,6,7]=>00100101000=>[3,3,2,4] [8,9,10,1,2,11,12,3,4,5,6,7]=>00100010000=>[3,4,5] [8,9,10,1,11,2,3,4,5,12,6,7]=>00101000010=>[3,2,5,2] [8,9,10,1,11,2,3,4,12,5,6,7]=>00101000100=>[3,2,4,3] [8,9,10,1,11,2,3,12,4,5,6,7]=>00101001000=>[3,2,3,4] [8,9,10,11,1,2,3,4,5,12,6,7]=>00010000010=>[4,6,2] [8,9,10,11,1,2,3,4,12,5,6,7]=>00010000100=>[4,5,3] [8,9,10,11,1,2,3,12,4,5,6,7]=>00010001000=>[4,4,4] [8,9,10,11,1,2,12,3,4,5,6,7]=>00010010000=>[4,3,5] [8,6,3,5,2,1,7,4]=>1101101=>[1,1,2,1,2,1] [6,8,3,1,2,5,4,7]=>0110010=>[2,1,3,2] [5,8,6,4,7,1,2,3]=>0110100=>[2,1,2,3] [2,5,1,8,7,3,4,6]=>0101100=>[2,2,1,3] [7,2,4,3,8,6,1,5]=>1010110=>[1,2,2,1,2] [1,7,6,5,4,3,2,9,8]=>01111101=>[2,1,1,1,1,2,1] [6,8,4,3,5,1,7,2]=>0110101=>[2,1,2,2,1] [1,4,7,3,6,8,2,5]=>0010010=>[3,3,2] [3,7,1,4,6,8,2,5]=>0100010=>[2,4,2] [2,4,7,3,6,8,1,5]=>0010010=>[3,3,2] [8,5,7,6,1,3,2,4]=>1011010=>[1,2,1,2,2] [2,7,5,6,1,8,4,3]=>0101011=>[2,2,2,1,1] [1,2,6,7,4,5,8,3]=>0001001=>[4,3,1] [6,5,2,8,7,1,4,3]=>1101101=>[1,1,2,1,2,1] [7,2,3,6,8,1,4,5]=>1000100=>[1,4,3] [2,6,1,3,8,5,4,7]=>0100110=>[2,3,1,2] [6,4,1,8,3,2,5,7]=>1101100=>[1,1,2,1,3] [5,8,1,4,2,7,3,6]=>0101010=>[2,2,2,2] [2,3,1,6,8,7,4,5]=>0100110=>[2,3,1,2] [6,4,8,2,1,7,3,5]=>1011010=>[1,2,1,2,2] [2,3,1,8,7,5,6,4]=>0101101=>[2,2,1,2,1] [1,5,6,7,2,4,3,8]=>0001010=>[4,2,2] [2,8,6,4,1,5,3,7]=>0111010=>[2,1,1,2,2] [1,5,7,3,6,2,4,8]=>0010100=>[3,2,3] [6,7,4,5,1,3,8,2]=>0101001=>[2,2,3,1] [1,6,5,3,8,2,4,7]=>0110100=>[2,1,2,3] [5,6,1,2,4,8,3,7]=>0100010=>[2,4,2] [8,7,4,5,1,3,2,6]=>1101010=>[1,1,2,2,2] [8,5,1,2,7,4,3,6]=>1100110=>[1,1,3,1,2] [4,1,8,7,2,5,3,6]=>1011010=>[1,2,1,2,2] [2,6,3,8,4,1,7,5]=>0101101=>[2,2,1,2,1] [3,2,4,6,1,8,7,5]=>1001011=>[1,3,2,1,1] [3,6,7,4,1,2,5,8]=>0011000=>[3,1,4] [1,4,7,5,8,2,3,6]=>0010100=>[3,2,3] [1,6,8,4,7,3,2,5]=>0010110=>[3,2,1,2] [3,6,7,5,4,8,1,2]=>0011010=>[3,1,2,2] [4,5,7,2,6,3,8,1]=>0010101=>[3,2,2,1] [2,1,5,7,4,6,8,3]=>1001001=>[1,3,3,1] [2,3,5,7,8,1,6,4]=>0000101=>[5,2,1] [1,5,7,4,2,3,6,8]=>0011000=>[3,1,4] [2,4,7,5,3,6,8,1]=>0011001=>[3,1,3,1] [8,1,7,2,4,6,3,5]=>1010010=>[1,2,3,2] [1,2,4,7,8,6,3,5]=>0000110=>[5,1,2] [1,3,6,2,5,8,4,7]=>0010010=>[3,3,2] [1,5,3,6,8,2,4,7]=>0100100=>[2,3,3] [4,8,1,2,6,3,7,5]=>0100101=>[2,3,2,1] [5,8,1,2,6,3,7,4]=>0100101=>[2,3,2,1] [1,6,2,3,7,5,8,4]=>0100101=>[2,3,2,1] [4,1,2,6,5,7,8,3]=>1001001=>[1,3,3,1] [1,8,4,2,7,3,6,5]=>0110101=>[2,1,2,2,1] [1,7,5,2,3,8,6,4]=>0110011=>[2,1,3,1,1] [8,1,4,7,3,5,2,6]=>1001010=>[1,3,2,2] [8,4,3,6,1,7,2,5]=>1101010=>[1,1,2,2,2] [2,6,1,8,3,7,4,5]=>0101010=>[2,2,2,2] [8,4,2,1,3,7,5,6]=>1110010=>[1,1,1,3,2] [2,5,1,7,6,8,3,4]=>0101010=>[2,2,2,2] [5,3,1,8,2,4,7,6]=>1101001=>[1,1,2,3,1] [1,2,6,3,7,5,8,4]=>0010101=>[3,2,2,1] [5,1,8,3,2,4,7,6]=>1011001=>[1,2,1,3,1] [3,1,5,4,6,7,8,2]=>1010001=>[1,2,4,1] [2,8,5,7,3,1,4,6]=>0101100=>[2,2,1,3] [2,6,8,7,3,1,4,5]=>0011100=>[3,1,1,3] [7,4,2,1,3,8,5,6]=>1110010=>[1,1,1,3,2] [7,2,1,3,8,5,4,6]=>1100110=>[1,1,3,1,2] [2,1,7,3,8,6,4,5]=>1010110=>[1,2,2,1,2] [1,7,5,3,2,4,8,6]=>0111001=>[2,1,1,3,1] [1,4,2,7,6,5,8,3]=>0101101=>[2,2,1,2,1] [3,4,1,6,5,7,8,2]=>0101001=>[2,2,3,1] [2,8,7,3,4,1,5,6]=>0110100=>[2,1,2,3] [5,7,6,2,3,8,1,4]=>0110010=>[2,1,3,2] [4,5,7,6,2,8,1,3]=>0011010=>[3,1,2,2] [3,1,8,7,5,2,6,4]=>1011101=>[1,2,1,1,2,1] [4,5,6,8,7,2,1,3]=>0001110=>[4,1,1,2] [2,8,3,1,5,4,7,6]=>0110101=>[2,1,2,2,1] [3,8,4,1,5,2,7,6]=>0110101=>[2,1,2,2,1] [5,1,7,8,3,2,6,4]=>1001101=>[1,3,1,2,1] [1,8,6,2,4,3,7,5]=>0110101=>[2,1,2,2,1] [4,8,3,1,6,2,7,5]=>0110101=>[2,1,2,2,1] [2,8,3,1,6,4,7,5]=>0110101=>[2,1,2,2,1] [6,2,7,1,5,8,4,3]=>1010011=>[1,2,3,1,1] [1,7,8,9,6,5,4,3,2]=>00011111=>[4,1,1,1,1,1] [1,6,7,8,9,5,4,3,2]=>00001111=>[5,1,1,1,1] [1,5,6,7,8,9,4,3,2]=>00000111=>[6,1,1,1] [1,4,5,6,7,8,9,3,2]=>00000011=>[7,1,1] [1,8,9,10,7,6,5,4,3,2]=>000111111=>[4,1,1,1,1,1,1] [1,7,6,8,9,5,4,3,2]=>01001111=>[2,3,1,1,1,1] [1,7,8,9,10,6,5,4,3,2]=>000011111=>[5,1,1,1,1,1] [1,6,5,7,8,9,4,3,2]=>01000111=>[2,4,1,1,1] [1,6,7,8,9,10,5,4,3,2]=>000001111=>[6,1,1,1,1] [1,5,4,6,7,8,9,3,2]=>01000011=>[2,5,1,1] [1,5,6,7,8,9,10,4,3,2]=>000000111=>[7,1,1,1] [1,4,5,6,7,8,9,10,3,2]=>000000011=>[8,1,1] [4,8,5,1,3,2,6,7]=>0110100=>[2,1,2,3] [5,4,3,1,2,7,6,8]=>1110010=>[1,1,1,3,2] [4,1,6,5,2,3,7,8]=>1011000=>[1,2,1,4] [7,1,5,2,3,6,4,8]=>1010010=>[1,2,3,2] [4,1,6,3,7,2,5,8]=>1010100=>[1,2,2,3] [4,6,1,2,8,3,7,5]=>0100101=>[2,3,2,1] [4,1,3,6,7,2,5,8]=>1000100=>[1,4,3] [2,6,5,1,3,4,7,8]=>0110000=>[2,1,5] [2,6,7,4,3,1,5,8]=>0011100=>[3,1,1,3] [2,6,3,1,7,4,5,8]=>0110100=>[2,1,2,3] [6,5,3,7,2,4,1,8]=>1101010=>[1,1,2,2,2] [2,3,6,7,1,5,4,8]=>0001010=>[4,2,2] [2,7,5,8,1,3,6,4]=>0101001=>[2,2,3,1] [5,1,6,7,3,2,4,8]=>1001100=>[1,3,1,3] [5,6,1,4,7,2,3,8]=>0100100=>[2,3,3] [1,2,5,7,8,6,3,4]=>0000110=>[5,1,2] [1,2,6,7,4,5,3,8]=>0001010=>[4,2,2] [1,2,7,8,4,6,3,5]=>0001010=>[4,2,2] [8,6,5,2,1,7,4,3]=>1111011=>[1,1,1,1,2,1,1] [4,3,8,6,7,1,5,2]=>1010101=>[1,2,2,2,1] [8,3,2,4,7,1,6,5]=>1100101=>[1,1,3,2,1] [7,3,2,8,6,1,5,4]=>1101101=>[1,1,2,1,2,1] [7,5,8,2,6,1,4,3]=>1010101=>[1,2,2,2,1] [7,4,1,2,6,5,8,3]=>1100101=>[1,1,3,2,1] [5,2,7,4,6,1,8,3]=>1010101=>[1,2,2,2,1] [7,4,1,2,3,6,8,5]=>1100001=>[1,1,5,1] [5,4,8,6,3,2,1,7]=>1011110=>[1,2,1,1,1,2] [8,4,6,7,3,1,5,2]=>1001101=>[1,3,1,2,1] [4,6,8,5,1,2,7,3]=>0011001=>[3,1,3,1] [4,1,3,6,8,5,2,7]=>1000110=>[1,4,1,2] [6,3,5,7,1,2,8,4]=>1001001=>[1,3,3,1] [1,8,5,3,2,4,6,7]=>0111000=>[2,1,1,4] [1,6,7,3,4,2,5,8]=>0010100=>[3,2,3] [1,6,8,3,4,2,5,7]=>0010100=>[3,2,3] [1,8,7,5,3,4,2,6]=>0111010=>[2,1,1,2,2] [1,7,8,5,3,4,2,6]=>0011010=>[3,1,2,2] [1,7,6,8,4,2,3,5]=>0101100=>[2,2,1,3] [1,7,8,6,4,3,2,5]=>0011110=>[3,1,1,1,2] [9,8,7,6,5,2,1,3,4]=>11111100=>[1,1,1,1,1,1,3] [9,8,6,4,7,2,5,1,3]=>11101010=>[1,1,1,2,2,2] [7,2,8,9,10,1,3,4,5,6]=>100010000=>[1,4,5] [9,7,8,6,5,4,3,2,1]=>10111111=>[1,2,1,1,1,1,1,1] [5,1,7,8,4,2,3,6]=>1001100=>[1,3,1,3] [3,8,2,1,6,7,5,4]=>0110011=>[2,1,3,1,1] [2,8,3,1,7,5,6,4]=>0110101=>[2,1,2,2,1] [8,5,6,2,1,4,7,3]=>1011001=>[1,2,1,3,1] [9,10,6,4,2,1,3,5,8,7]=>011110001=>[2,1,1,1,4,1] [10,7,8,4,2,1,3,6,5,9]=>101110010=>[1,2,1,1,3,2] [9,7,10,4,2,1,3,6,8,5]=>101110001=>[1,2,1,1,4,1] [8,9,10,4,2,1,3,7,6,5]=>001110011=>[3,1,1,3,1,1] [10,8,5,6,2,1,4,3,7,9]=>110110100=>[1,1,2,1,2,3] [9,10,5,6,2,1,4,3,8,7]=>010110101=>[2,2,1,2,2,1] [10,7,5,8,2,1,4,6,3,9]=>110110010=>[1,1,2,1,3,2] [9,7,5,10,2,1,4,6,8,3]=>110110001=>[1,1,2,1,4,1] [8,9,5,10,2,1,4,7,6,3]=>010110011=>[2,2,1,3,1,1] [10,6,7,8,2,1,5,4,3,9]=>100110110=>[1,3,1,2,1,2] [9,6,7,10,2,1,5,4,8,3]=>100110101=>[1,3,1,2,2,1] [8,6,9,10,2,1,5,7,4,3]=>100110011=>[1,3,1,3,1,1] [7,8,9,10,2,1,6,5,4,3]=>000110111=>[4,1,2,1,1,1] [10,8,6,3,4,2,1,5,7,9]=>111011000=>[1,1,1,2,1,4] [9,10,6,3,4,2,1,5,8,7]=>011011001=>[2,1,2,1,3,1] [10,7,8,3,4,2,1,6,5,9]=>101011010=>[1,2,2,1,2,2] [9,7,10,3,4,2,1,6,8,5]=>101011001=>[1,2,2,1,3,1] [8,9,10,3,4,2,1,7,6,5]=>001011011=>[3,2,1,2,1,1] [10,8,5,3,6,2,4,1,7,9]=>111010100=>[1,1,1,2,2,3] [9,10,5,3,6,2,4,1,8,7]=>011010101=>[2,1,2,2,2,1] [10,7,5,3,8,2,4,6,1,9]=>111010010=>[1,1,1,2,3,2] [9,7,5,3,10,2,4,6,8,1]=>111010001=>[1,1,1,2,4,1] [8,9,5,3,10,2,4,7,6,1]=>011010011=>[2,1,2,3,1,1] [10,6,7,3,8,2,5,4,1,9]=>101010110=>[1,2,2,2,1,2] [9,6,7,3,10,2,5,4,8,1]=>101010101=>[1,2,2,2,2,1] [8,6,9,3,10,2,5,7,4,1]=>101010011=>[1,2,2,3,1,1] [7,8,9,3,10,2,6,5,4,1]=>001010111=>[3,2,2,1,1,1] [10,8,4,5,6,3,2,1,7,9]=>110011100=>[1,1,3,1,1,3] [9,10,4,5,6,3,2,1,8,7]=>010011101=>[2,3,1,1,2,1] [10,7,4,5,8,3,2,6,1,9]=>110011010=>[1,1,3,1,2,2] [9,7,4,5,10,3,2,6,8,1]=>110011001=>[1,1,3,1,3,1] [8,9,4,5,10,3,2,7,6,1]=>010011011=>[2,3,1,2,1,1] [10,6,4,7,8,3,5,2,1,9]=>110010110=>[1,1,3,2,1,2] [9,6,4,7,10,3,5,2,8,1]=>110010101=>[1,1,3,2,2,1] [8,6,4,9,10,3,5,7,2,1]=>110010011=>[1,1,3,3,1,1] [7,8,4,9,10,3,6,5,2,1]=>010010111=>[2,3,2,1,1,1] [10,5,6,7,8,4,3,2,1,9]=>100011110=>[1,4,1,1,1,2] [9,5,6,7,10,4,3,2,8,1]=>100011101=>[1,4,1,1,2,1] [8,5,6,9,10,4,3,7,2,1]=>100011011=>[1,4,1,2,1,1] [7,5,8,9,10,4,6,3,2,1]=>100010111=>[1,4,2,1,1,1] [12,10,8,6,4,2,1,3,5,7,9,11]=>11111100000=>[1,1,1,1,1,1,6] [11,12,8,6,4,2,1,3,5,7,10,9]=>01111100001=>[2,1,1,1,1,5,1] [12,9,7,10,4,2,1,3,6,8,5,11]=>11011100010=>[1,1,2,1,1,4,2] [12,9,10,5,6,2,1,4,3,8,7,11]=>10101101010=>[1,2,2,1,2,2,2] [11,9,12,5,6,2,1,4,3,8,10,7]=>10101101001=>[1,2,2,1,2,3,1] [10,11,12,5,6,2,1,4,3,9,8,7]=>00101101011=>[3,2,1,2,2,1,1] [8,9,10,11,12,2,1,7,6,5,4,3]=>00001101111=>[5,1,2,1,1,1,1] [12,10,7,8,3,4,2,1,6,5,9,11]=>11010110100=>[1,1,2,2,1,2,3] [11,12,7,8,3,4,2,1,6,5,10,9]=>01010110101=>[2,2,2,1,2,2,1] [12,9,10,5,3,6,2,4,1,8,7,11]=>10110101010=>[1,2,1,2,2,2,2] [11,9,12,5,3,6,2,4,1,8,10,7]=>10110101001=>[1,2,1,2,2,3,1] [10,11,12,5,3,6,2,4,1,9,8,7]=>00110101011=>[3,1,2,2,2,1,1] [12,9,7,5,3,10,2,4,6,8,1,11]=>11110100010=>[1,1,1,1,2,4,2] [10,11,7,5,3,12,2,4,6,9,8,1]=>01110100011=>[2,1,1,2,4,1,1] [12,10,6,7,3,8,2,5,4,1,9,11]=>11010101100=>[1,1,2,2,2,1,3] [11,12,6,7,3,8,2,5,4,1,10,9]=>01010101101=>[2,2,2,2,1,2,1] [12,9,6,7,3,10,2,5,4,8,1,11]=>11010101010=>[1,1,2,2,2,2,2] [11,9,6,7,3,12,2,5,4,8,10,1]=>11010101001=>[1,1,2,2,2,3,1] [10,11,6,7,3,12,2,5,4,9,8,1]=>01010101011=>[2,2,2,2,2,1,1] [9,10,6,11,3,12,2,5,8,7,4,1]=>01010100111=>[2,2,2,3,1,1,1] [10,11,5,6,7,12,4,3,2,9,8,1]=>01000111011=>[2,4,1,1,2,1,1] [12,7,5,8,9,10,4,6,3,2,1,11]=>11000101110=>[1,1,4,2,1,1,2] [8,9,5,10,11,12,4,7,6,3,2,1]=>01000101111=>[2,4,2,1,1,1,1] [12,6,7,8,9,10,5,4,3,2,1,11]=>10000111110=>[1,5,1,1,1,1,2] [8,6,9,10,11,12,5,7,4,3,2,1]=>10000101111=>[1,5,2,1,1,1,1] [2,3,4,5,6,7,8,11,10,1,9]=>0000000110=>[8,1,2] [2,3,4,5,6,7,8,9,12,11,1,10]=>00000000110=>[9,1,2] [11,3,4,5,6,7,8,10,1,2,9]=>1000000100=>[1,7,3] [2,10,4,5,6,7,9,1,3,8]=>010000100=>[2,5,3] [10,3,4,5,6,7,1,9,2,8]=>100001010=>[1,5,2,2] [2,7,4,1,5,8,3,6]=>0110010=>[2,1,3,2] [2,1,6,4,7,8,3,5]=>1010010=>[1,2,3,2] [5,7,8,3,4,2,1,6]=>0010110=>[3,2,1,2] [4,7,5,3,8,2,6,1]=>0110101=>[2,1,2,2,1] [2,6,4,7,8,5,3,1]=>0100111=>[2,3,1,1,1] [7,8,4,5,6,1,3,2]=>0100101=>[2,3,2,1] [2,5,1,8,4,6,7,3]=>0101001=>[2,2,3,1] [5,2,8,4,6,7,1,3]=>1010010=>[1,2,3,2] [6,5,8,3,4,2,1,7]=>1010110=>[1,2,2,1,2] [1,3,5,8,4,6,7,2]=>0001001=>[4,3,1] [8,2,7,6,3,4,5,1]=>1011001=>[1,2,1,3,1] [6,8,7,3,2,1,4,5]=>0111100=>[2,1,1,1,3] [3,4,8,2,7,1,5,6]=>0010100=>[3,2,3] [7,2,6,1,4,8,3,5]=>1010010=>[1,2,3,2] [7,8,1,2,4,6,3,5]=>0100010=>[2,4,2] [7,2,8,3,4,5,1,6]=>1010010=>[1,2,3,2] [6,1,8,3,4,2,5,7]=>1010100=>[1,2,2,3] [7,5,1,2,4,3,8,6]=>1100101=>[1,1,3,2,1] [7,6,8,1,4,2,3,5]=>1010100=>[1,2,2,3] [2,4,3,7,8,5,6,1]=>0100101=>[2,3,2,1] [2,1,7,6,3,4,5,8]=>1011000=>[1,2,1,4] [6,3,5,2,1,8,4,7]=>1011010=>[1,2,1,2,2] [6,1,5,3,8,2,4,7]=>1010100=>[1,2,2,3] [2,3,6,8,5,1,7,4]=>0001101=>[4,1,2,1] [3,2,4,8,6,1,7,5]=>1001101=>[1,3,1,2,1] [2,1,3,8,4,5,7,6]=>1001001=>[1,3,3,1] [3,1,2,8,5,4,7,6]=>1001101=>[1,3,1,2,1] [2,1,3,7,8,4,6,5]=>1000101=>[1,4,2,1] [2,1,3,8,4,7,6,5]=>1001011=>[1,3,2,1,1] [3,1,2,8,4,5,7,6]=>1001001=>[1,3,3,1] [1,2,8,7,5,4,6,3]=>0011101=>[3,1,1,2,1] [4,6,7,2,3,8,1,5]=>0010010=>[3,3,2] [3,2,6,5,7,8,1,4]=>1010010=>[1,2,3,2] [3,2,7,5,6,8,1,4]=>1010010=>[1,2,3,2] [2,1,8,7,4,6,5,3]=>1011011=>[1,2,1,2,1,1] [6,1,5,8,4,7,3,2]=>1001011=>[1,3,2,1,1] [1,4,6,8,5,7,2,3]=>0001010=>[4,2,2] [2,4,7,1,8,3,6,5]=>0010101=>[3,2,2,1] [6,1,5,4,2,3,8,7]=>1011001=>[1,2,1,3,1] [6,4,5,1,2,8,3,7]=>1010010=>[1,2,3,2] [8,4,1,5,7,6,3,2]=>1100111=>[1,1,3,1,1,1] [8,1,6,3,5,2,4,7]=>1010100=>[1,2,2,3] [4,6,2,5,3,8,1,7]=>0101010=>[2,2,2,2] [4,6,5,2,1,8,3,7]=>0111010=>[2,1,1,2,2] [5,8,4,3,6,7,2,1]=>0110011=>[2,1,3,1,1] [6,8,2,1,5,3,4,7]=>0110100=>[2,1,2,3] [2,5,3,8,6,7,4,1]=>0101011=>[2,2,2,1,1] [3,2,6,5,1,8,4,7]=>1011010=>[1,2,1,2,2] [7,4,5,8,1,6,2,3]=>1001010=>[1,3,2,2] [4,5,8,1,6,7,3,2]=>0010011=>[3,3,1,1] [5,1,8,4,6,7,3,2]=>1010011=>[1,2,3,1,1] [6,5,3,8,1,7,2,4]=>1101010=>[1,1,2,2,2] [8,3,7,1,6,2,4,5]=>1010100=>[1,2,2,3] [8,1,4,6,5,7,2,3]=>1001010=>[1,3,2,2] [8,1,7,5,6,4,2,3]=>1010110=>[1,2,2,1,2] [8,6,1,5,3,7,2,4]=>1101010=>[1,1,2,2,2] [7,2,3,6,8,1,5,4]=>1000101=>[1,4,2,1] [2,6,3,7,8,1,4,5]=>0100100=>[2,3,3] [6,3,8,7,2,1,5,4]=>1011101=>[1,2,1,1,2,1] [7,2,5,6,3,4,8,1]=>1001001=>[1,3,3,1] [7,2,8,6,3,1,5,4]=>1011101=>[1,2,1,1,2,1] [7,2,4,5,8,6,3,1]=>1000111=>[1,4,1,1,1] [6,3,8,4,7,2,5,1]=>1010101=>[1,2,2,2,1] [7,2,3,6,8,5,4,1]=>1000111=>[1,4,1,1,1] [7,2,8,5,4,1,3,6]=>1011100=>[1,2,1,1,3] [7,4,5,2,8,1,6,3]=>1010101=>[1,2,2,2,1] [7,5,4,2,8,1,6,3]=>1110101=>[1,1,1,2,2,1] [7,6,3,2,8,4,5,1]=>1110101=>[1,1,1,2,2,1] [7,2,3,6,8,4,5,1]=>1000101=>[1,4,2,1] [7,2,5,4,8,3,6,1]=>1010101=>[1,2,2,2,1] [7,2,8,3,6,1,4,5]=>1010100=>[1,2,2,3] [7,4,5,2,8,3,6,1]=>1010101=>[1,2,2,2,1] [3,1,6,7,4,5,2,8]=>1001010=>[1,3,2,2] [3,1,5,4,7,6,2,8]=>1010110=>[1,2,2,1,2] [7,3,6,8,2,4,5,1]=>1001001=>[1,3,3,1] [5,1,3,2,4,6,8,7]=>1010001=>[1,2,4,1] [8,4,2,5,1,7,3,6]=>1101010=>[1,1,2,2,2] [6,4,2,5,7,3,8,1]=>1100101=>[1,1,3,2,1] [5,7,8,4,2,3,6,1]=>0011001=>[3,1,3,1] [6,4,5,2,8,3,7,1]=>1010101=>[1,2,2,2,1] [6,5,2,4,3,8,7,1]=>1101011=>[1,1,2,2,1,1] [6,5,3,4,1,8,2,7]=>1101010=>[1,1,2,2,2] [6,4,5,3,8,1,2,7]=>1010100=>[1,2,2,3] [5,6,4,8,3,1,2,7]=>0101100=>[2,2,1,3] [7,2,4,6,3,8,5,1]=>1001011=>[1,3,2,1,1] [2,8,3,7,6,1,5,4]=>0101101=>[2,2,1,2,1] [5,4,2,6,8,7,3,1]=>1100111=>[1,1,3,1,1,1] [3,7,2,5,8,6,4,1]=>0100111=>[2,3,1,1,1] [2,4,8,7,6,1,5,3]=>0011101=>[3,1,1,2,1] [3,2,8,7,4,6,5,1]=>1011011=>[1,2,1,2,1,1] [8,2,6,5,1,4,3,7]=>1011010=>[1,2,1,2,2] [4,8,5,2,7,6,3,1]=>0110111=>[2,1,2,1,1,1] [2,8,6,5,7,1,3,4]=>0110100=>[2,1,2,3] [3,8,4,7,2,1,6,5]=>0101101=>[2,2,1,2,1] [4,8,5,1,7,6,3,2]=>0110111=>[2,1,2,1,1,1] [5,8,1,7,6,2,3,4]=>0101100=>[2,2,1,3] [3,4,6,2,5,7,1,8]=>0010010=>[3,3,2] [1,7,5,2,6,8,3,4]=>0110010=>[2,1,3,2] [5,1,7,2,4,6,3,8]=>1010010=>[1,2,3,2] [6,8,2,1,3,4,7,5]=>0110001=>[2,1,4,1] [5,2,1,7,6,4,3,8]=>1101110=>[1,1,2,1,1,2] [7,4,8,3,6,5,1,2]=>1010110=>[1,2,2,1,2] [6,4,8,5,1,7,2,3]=>1011010=>[1,2,1,2,2] [5,2,8,1,3,6,7,4]=>1010001=>[1,2,4,1] [6,3,2,7,4,5,8,1]=>1101001=>[1,1,2,3,1] [7,4,3,8,5,6,1,2]=>1101010=>[1,1,2,2,2] [6,2,1,8,7,4,5,3]=>1101101=>[1,1,2,1,2,1] [6,2,1,8,7,3,5,4]=>1101101=>[1,1,2,1,2,1] [5,2,1,7,6,3,4,8]=>1101100=>[1,1,2,1,3] [4,2,6,8,5,7,1,3]=>1001010=>[1,3,2,2] [8,6,4,3,2,7,5,1]=>1111011=>[1,1,1,1,2,1,1] [1,3,4,7,8,2,6,5]=>0000101=>[5,2,1] [1,5,4,3,8,7,2,6]=>0110110=>[2,1,2,1,2] [1,2,5,8,4,3,6,7]=>0001100=>[4,1,3] [1,5,8,2,6,4,3,7]=>0010110=>[3,2,1,2] [10,9,8,6,4,2,1,3,5,7]=>111111000=>[1,1,1,1,1,1,4] [10,8,7,6,4,2,1,3,5,9]=>111111000=>[1,1,1,1,1,1,4] [10,7,9,6,4,2,1,3,8,5]=>101111001=>[1,2,1,1,1,3,1] [10,9,8,7,6,4,2,1,3,5]=>111111100=>[1,1,1,1,1,1,1,3] [10,8,6,5,4,2,1,3,7,9]=>111111000=>[1,1,1,1,1,1,4] [10,9,8,6,5,4,2,1,3,7]=>111111100=>[1,1,1,1,1,1,1,3] [10,8,5,7,4,2,1,6,3,9]=>110111010=>[1,1,2,1,1,2,2] [10,5,9,7,4,2,1,6,8,3]=>101111001=>[1,2,1,1,1,3,1] [10,9,8,5,7,4,2,1,6,3]=>111011101=>[1,1,1,2,1,1,2,1] [10,8,7,6,5,4,2,1,3,9]=>111111100=>[1,1,1,1,1,1,1,3] [10,7,9,6,5,4,2,1,8,3]=>101111101=>[1,2,1,1,1,1,2,1] [10,6,9,8,5,7,2,1,4,3]=>101101101=>[1,2,1,2,1,2,1] [10,8,6,4,3,2,1,5,7,9]=>111111000=>[1,1,1,1,1,1,4] [10,9,8,6,4,3,2,1,5,7]=>111111100=>[1,1,1,1,1,1,1,3] [10,8,7,6,4,3,2,1,5,9]=>111111100=>[1,1,1,1,1,1,1,3] [10,7,9,6,4,3,2,1,8,5]=>101111101=>[1,2,1,1,1,1,2,1] [10,8,6,3,5,2,4,1,7,9]=>111010100=>[1,1,1,2,2,3] [10,9,8,6,3,5,2,4,1,7]=>111101010=>[1,1,1,1,2,2,2] [10,8,3,7,5,2,4,6,1,9]=>110110010=>[1,1,2,1,3,2] [10,3,9,7,5,2,4,6,8,1]=>101110001=>[1,2,1,1,4,1] [10,9,8,3,7,5,2,4,6,1]=>111011001=>[1,1,1,2,1,3,1] [10,8,7,6,3,5,2,4,1,9]=>111101010=>[1,1,1,1,2,2,2] [10,7,9,6,3,5,2,4,8,1]=>101101001=>[1,2,1,2,3,1] [10,9,3,8,6,5,2,7,4,1]=>110111011=>[1,1,2,1,1,2,1,1] [10,9,8,7,6,3,5,2,4,1]=>111110101=>[1,1,1,1,1,2,2,1] [10,8,6,5,4,3,2,1,7,9]=>111111100=>[1,1,1,1,1,1,1,3] [10,8,5,7,4,3,2,6,1,9]=>110111010=>[1,1,2,1,1,2,2] [10,5,9,7,4,3,2,6,8,1]=>101111001=>[1,2,1,1,1,3,1] [10,9,8,5,7,4,3,2,6,1]=>111011101=>[1,1,1,2,1,1,2,1] [10,8,4,7,6,3,5,2,1,9]=>110110110=>[1,1,2,1,2,1,2] [10,4,9,7,6,3,5,2,8,1]=>101110101=>[1,2,1,1,2,2,1] [10,4,9,6,8,3,5,7,2,1]=>101010011=>[1,2,2,3,1,1] [10,9,8,4,7,6,3,5,2,1]=>111011011=>[1,1,1,2,1,2,1,1] [10,7,9,6,5,4,3,2,8,1]=>101111101=>[1,2,1,1,1,1,2,1] [10,6,9,8,5,4,3,7,2,1]=>101111011=>[1,2,1,1,1,2,1,1] [10,5,9,8,7,4,6,3,2,1]=>101110111=>[1,2,1,1,2,1,1,1] [12,11,10,9,8,6,4,2,1,3,5,7]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,11,10,8,7,6,4,2,1,3,5,9]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,10,9,8,7,6,4,2,1,3,5,11]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,11,10,8,6,5,4,2,1,3,7,9]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,10,9,8,6,5,4,2,1,3,7,11]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,11,5,10,8,7,4,2,1,9,6,3]=>11011111011=>[1,1,2,1,1,1,1,2,1,1] [12,10,8,7,6,5,4,2,1,3,9,11]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,11,10,7,9,6,5,4,2,1,8,3]=>11101111101=>[1,1,1,2,1,1,1,1,2,1] [12,10,6,9,8,5,7,2,1,4,3,11]=>11011011010=>[1,1,2,1,2,1,2,2] [12,6,11,8,10,5,7,2,1,9,4,3]=>10101011011=>[1,2,2,2,1,2,1,1] [12,11,10,6,9,8,5,7,2,1,4,3]=>11101101101=>[1,1,1,2,1,2,1,2,1] [12,9,11,8,7,6,5,4,2,1,10,3]=>10111111101=>[1,2,1,1,1,1,1,1,2,1] [12,8,11,10,7,6,5,9,2,1,4,3]=>10111101101=>[1,2,1,1,1,2,1,2,1] [12,7,11,10,9,6,8,5,2,1,4,3]=>10111011101=>[1,2,1,1,2,1,1,2,1] [12,11,10,9,8,7,6,5,4,2,1,3]=>11111111110=>[1,1,1,1,1,1,1,1,1,1,2] [12,11,10,8,6,4,3,2,1,5,7,9]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,10,9,8,6,4,3,2,1,5,7,11]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,10,8,7,6,4,3,2,1,5,9,11]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,11,10,7,9,6,4,3,2,1,8,5]=>11101111101=>[1,1,1,2,1,1,1,1,2,1] [12,9,11,8,7,6,4,3,2,1,10,5]=>10111111101=>[1,2,1,1,1,1,1,1,2,1] [12,8,11,10,7,9,4,3,2,1,6,5]=>10110111101=>[1,2,1,2,1,1,1,2,1] [12,11,10,9,8,7,6,4,3,2,1,5]=>11111111110=>[1,1,1,1,1,1,1,1,1,1,2] [12,11,10,8,6,3,5,2,4,1,7,9]=>11111010100=>[1,1,1,1,1,2,2,3] [12,10,9,8,6,3,5,2,4,1,7,11]=>11111010100=>[1,1,1,1,1,2,2,3] [12,9,11,8,6,3,5,2,4,1,10,7]=>10111010101=>[1,2,1,1,2,2,2,1] [12,11,10,9,8,6,3,5,2,4,1,7]=>11111101010=>[1,1,1,1,1,1,2,2,2] [12,10,3,9,7,5,2,4,6,8,1,11]=>11011100010=>[1,1,2,1,1,4,2] [12,10,8,7,6,3,5,2,4,1,9,11]=>11111010100=>[1,1,1,1,1,2,2,3] [12,11,10,8,7,6,3,5,2,4,1,9]=>11111101010=>[1,1,1,1,1,1,2,2,2] [12,10,9,3,8,6,5,2,7,4,1,11]=>11101110110=>[1,1,1,2,1,1,2,1,2] [12,9,11,3,8,6,5,2,7,4,10,1]=>10101110101=>[1,2,2,1,1,2,2,1] [12,11,10,9,3,8,6,5,2,7,4,1]=>11110111011=>[1,1,1,1,2,1,1,2,1,1] [12,10,9,8,7,6,3,5,2,4,1,11]=>11111101010=>[1,1,1,1,1,1,2,2,2] [12,8,11,10,7,6,3,5,2,9,4,1]=>10111101011=>[1,2,1,1,1,2,2,1,1] [12,11,10,3,9,7,6,8,2,5,4,1]=>11101101011=>[1,1,1,2,1,2,2,1,1] [12,10,8,6,5,4,3,2,1,7,9,11]=>11111111000=>[1,1,1,1,1,1,1,1,4] [12,9,11,8,6,5,4,3,2,1,10,7]=>10111111101=>[1,2,1,1,1,1,1,1,2,1] [12,11,10,9,8,6,5,4,3,2,1,7]=>11111111110=>[1,1,1,1,1,1,1,1,1,1,2] [12,11,5,10,8,7,4,3,2,9,6,1]=>11011111011=>[1,1,2,1,1,1,1,2,1,1] [12,10,4,9,7,6,3,5,2,8,1,11]=>11011101010=>[1,1,2,1,1,2,2,2] [12,11,10,4,9,7,6,3,5,2,8,1]=>11101110101=>[1,1,1,2,1,1,2,2,1] [12,9,11,8,4,7,6,3,5,2,10,1]=>10110110101=>[1,2,1,2,1,2,2,1] [12,11,4,10,7,9,6,3,8,5,2,1]=>11010110111=>[1,1,2,2,1,2,1,1,1] [12,11,10,8,7,6,5,4,3,2,1,9]=>11111111110=>[1,1,1,1,1,1,1,1,1,1,2] [12,11,10,7,9,6,5,4,3,2,8,1]=>11101111101=>[1,1,1,2,1,1,1,1,2,1] [12,10,6,9,8,5,4,3,7,2,1,11]=>11011110110=>[1,1,2,1,1,1,2,1,2] [12,11,10,6,9,8,5,4,3,7,2,1]=>11101111011=>[1,1,1,2,1,1,1,2,1,1] [12,10,5,9,8,7,4,6,3,2,1,11]=>11011101110=>[1,1,2,1,1,2,1,1,2] [12,5,11,9,8,7,4,6,3,2,10,1]=>10111101101=>[1,2,1,1,1,2,1,2,1] [12,5,11,8,10,7,4,6,3,9,2,1]=>10101101011=>[1,2,2,1,2,2,1,1] [12,11,10,5,9,8,7,4,6,3,2,1]=>11101110111=>[1,1,1,2,1,1,2,1,1,1] [12,9,11,8,7,6,5,4,3,2,10,1]=>10111111101=>[1,2,1,1,1,1,1,1,2,1] [12,7,11,10,9,6,5,4,8,3,2,1]=>10111110111=>[1,2,1,1,1,1,2,1,1,1] [12,6,11,10,9,8,5,7,4,3,2,1]=>10111101111=>[1,2,1,1,1,2,1,1,1,1] [3,5,6,2,4,7,8,1]=>0010001=>[3,4,1] [3,5,6,7,2,4,8,1]=>0001001=>[4,3,1] [3,5,7,6,8,2,4,1]=>0010101=>[3,2,2,1] [3,5,7,2,6,8,4,1]=>0010011=>[3,3,1,1] [3,5,2,7,6,8,4,1]=>0101011=>[2,2,2,1,1] [3,5,7,4,2,6,8,1]=>0011001=>[3,1,3,1] [3,5,4,7,2,6,8,1]=>0101001=>[2,2,3,1] [3,4,5,7,2,6,8,1]=>0001001=>[4,3,1] [3,4,5,7,2,8,6,1]=>0001011=>[4,2,1,1] [3,5,4,7,8,2,6,1]=>0100101=>[2,3,2,1] [3,5,4,7,2,8,6,1]=>0101011=>[2,2,2,1,1] [3,2,5,7,4,8,6,1]=>1001011=>[1,3,2,1,1] [3,5,7,4,2,8,6,1]=>0011011=>[3,1,2,1,1] [3,5,7,8,4,2,6,1]=>0001101=>[4,1,2,1] [2,3,5,7,8,4,6,1]=>0000101=>[5,2,1] [3,5,2,7,8,6,4,1]=>0100111=>[2,3,1,1,1] [3,5,7,8,2,6,4,1]=>0001011=>[4,2,1,1] [3,5,7,8,6,2,4,1]=>0001101=>[4,1,2,1] [3,2,5,6,7,8,9,1,4]=>10000010=>[1,6,2] [4,2,5,6,7,3,8,1]=>1000101=>[1,4,2,1] [4,2,5,6,7,8,9,3,1]=>10000011=>[1,6,1,1] [3,2,4,5,6,7,8,9,10,11,1]=>1000000001=>[1,9,1] [8,6,1,4,3,5,2,7]=>1101010=>[1,1,2,2,2] [6,1,8,4,3,5,2,7]=>1011010=>[1,2,1,2,2] [5,1,6,4,8,2,3,7]=>1010100=>[1,2,2,3] [8,1,4,2,5,3,6,7]=>1010100=>[1,2,2,3] [2,8,4,1,5,3,6,7]=>0110100=>[2,1,2,3] [8,4,1,3,5,2,6,7]=>1100100=>[1,1,3,3] [4,1,8,3,5,2,6,7]=>1010100=>[1,2,2,3] [8,3,1,2,5,4,6,7]=>1100100=>[1,1,3,3] [3,1,8,2,5,4,6,7]=>1010100=>[1,2,2,3] [4,2,5,1,8,7,6,3]=>1010111=>[1,2,2,1,1,1] [5,2,4,8,1,7,6,3]=>1001011=>[1,3,2,1,1] [7,3,2,4,6,8,1,5]=>1100010=>[1,1,4,2] [1,4,8,6,7,2,5,3]=>0010101=>[3,2,2,1] [1,4,5,7,3,8,2,6]=>0001010=>[4,2,2] [4,6,8,1,2,5,3,7]=>0010010=>[3,3,2] [3,5,6,8,2,1,4,7]=>0001100=>[4,1,3] [8,2,5,4,1,3,7,6]=>1011001=>[1,2,1,3,1] [2,4,5,8,6,3,1,7]=>0001110=>[4,1,1,2] [5,4,8,2,3,1,7,6]=>1010101=>[1,2,2,2,1] [4,7,5,8,2,3,1,6]=>0101010=>[2,2,2,2] [4,6,7,5,1,8,3,2]=>0011011=>[3,1,2,1,1] [1,7,3,6,5,8,2,4]=>0101010=>[2,2,2,2] [8,3,4,2,6,7,1,5]=>1010010=>[1,2,3,2] [7,5,3,8,6,2,1,4]=>1101110=>[1,1,2,1,1,2] [7,3,1,8,2,6,5,4]=>1101011=>[1,1,2,2,1,1] [4,6,7,5,2,8,3,1]=>0011011=>[3,1,2,1,1] [5,8,7,2,4,3,1,6]=>0110110=>[2,1,2,1,2] [5,1,2,8,6,7,3,4]=>1001010=>[1,3,2,2] [2,5,7,8,6,1,4,3]=>0001101=>[4,1,2,1] [7,2,6,8,4,5,1,3]=>1001010=>[1,3,2,2] [5,1,7,6,8,2,3,4]=>1010100=>[1,2,2,3] [1,7,6,2,4,3,8,5]=>0110101=>[2,1,2,2,1] [7,1,6,2,4,5,3,8]=>1010010=>[1,2,3,2] [5,7,1,6,2,3,4,8]=>0101000=>[2,2,4] [6,2,5,8,3,4,1,7]=>1001010=>[1,3,2,2] [5,6,8,7,1,3,2,4]=>0011010=>[3,1,2,2] [1,5,3,4,8,2,6,7]=>0100100=>[2,3,3] [2,1,3,6,5,8,4,7]=>1001010=>[1,3,2,2] [2,8,6,5,7,4,3,1]=>0110111=>[2,1,2,1,1,1] [2,8,6,5,7,4,1,3]=>0110110=>[2,1,2,1,2] [6,5,2,7,4,3,1,8]=>1101110=>[1,1,2,1,1,2] [6,5,2,8,4,3,7,1]=>1101101=>[1,1,2,1,2,1] [7,5,8,3,4,2,1,6]=>1010110=>[1,2,2,1,2] [7,6,8,5,2,4,1,3]=>1011010=>[1,2,1,2,2] [5,3,7,2,4,1,8,6]=>1010101=>[1,2,2,2,1] [5,1,2,8,6,3,7,4]=>1001101=>[1,3,1,2,1] [6,1,5,7,2,4,3,8]=>1001010=>[1,3,2,2] [4,1,8,2,6,5,7,3]=>1010101=>[1,2,2,2,1] [6,1,4,7,8,5,3,2]=>1000111=>[1,4,1,1,1] [6,1,5,7,8,4,2,3]=>1000110=>[1,4,1,2] [4,6,1,5,7,2,8,3]=>0100101=>[2,3,2,1] [2,5,8,4,6,3,7,1]=>0010101=>[3,2,2,1] [4,3,7,1,2,6,8,5]=>1010001=>[1,2,4,1] [8,1,6,5,2,7,4,3]=>1011011=>[1,2,1,2,1,1] [6,8,1,5,2,7,4,3]=>0101011=>[2,2,2,1,1] [4,5,8,2,3,7,6,1]=>0010011=>[3,3,1,1] [5,6,2,7,4,8,3,1]=>0101011=>[2,2,2,1,1] [1,7,3,2,4,8,6,5]=>0110011=>[2,1,3,1,1] [4,3,1,8,2,6,7,5]=>1101001=>[1,1,2,3,1] [4,8,1,3,2,5,7,6]=>0101001=>[2,2,3,1] [1,7,5,3,8,6,2,4]=>0110110=>[2,1,2,1,2] [2,5,3,8,1,4,7,6]=>0101001=>[2,2,3,1] [4,2,5,8,1,3,7,6]=>1001001=>[1,3,3,1] [8,1,2,4,3,5,7,6]=>1001001=>[1,3,3,1] [2,4,3,8,1,5,7,6]=>0101001=>[2,2,3,1] [3,1,7,4,8,6,5,2]=>1010111=>[1,2,2,1,1,1] [6,4,5,3,2,8,7,1]=>1011011=>[1,2,1,2,1,1] [2,7,3,8,5,1,6,4]=>0101101=>[2,2,1,2,1] [8,7,3,2,5,6,4,1]=>1110011=>[1,1,1,3,1,1] [3,1,8,2,6,5,4,7]=>1010110=>[1,2,2,1,2] [7,6,2,8,1,4,5,3]=>1101001=>[1,1,2,3,1] [2,3,8,4,1,5,7,6]=>0011001=>[3,1,3,1] [8,4,2,3,1,5,7,6]=>1101001=>[1,1,2,3,1] [8,2,3,4,1,5,7,6]=>1001001=>[1,3,3,1] [7,1,6,2,4,8,3,5]=>1010010=>[1,2,3,2] [2,7,8,1,4,3,6,5]=>0010101=>[3,2,2,1] [6,5,8,1,3,2,4,7]=>1010100=>[1,2,2,3] [2,1,8,5,3,4,6,7]=>1011000=>[1,2,1,4] [8,4,1,3,2,5,6,7]=>1101000=>[1,1,2,4] [8,6,1,2,3,5,4,7]=>1100010=>[1,1,4,2] [7,8,1,5,2,4,6,3]=>0101001=>[2,2,3,1] [2,8,6,3,1,5,4,7]=>0111010=>[2,1,1,2,2] [5,7,2,8,4,1,6,3]=>0101101=>[2,2,1,2,1] [2,5,6,3,8,1,4,7]=>0010100=>[3,2,3] [1,3,4,5,6,7,2,8,9]=>00000100=>[6,3] [7,4,5,6,8,1,3,2]=>1000101=>[1,4,2,1] [7,6,8,1,4,5,3,2]=>1010011=>[1,2,3,1,1] [7,5,1,8,4,6,3,2]=>1101011=>[1,1,2,2,1,1] [1,7,8,5,6,4,3,2]=>0010111=>[3,2,1,1,1] [2,8,1,7,4,5,3,6]=>0101010=>[2,2,2,2] [7,3,6,2,5,4,8,1]=>1010101=>[1,2,2,2,1] [1,6,2,3,5,8,4,7]=>0100010=>[2,4,2] [1,8,5,6,4,3,7,2]=>0101101=>[2,2,1,2,1] [2,6,8,4,5,1,7,3]=>0010101=>[3,2,2,1] [4,6,5,7,8,1,3,2]=>0100101=>[2,3,2,1] [2,5,8,6,4,7,1,3]=>0011010=>[3,1,2,2] [5,3,2,1,7,8,4,6]=>1110010=>[1,1,1,3,2] [8,4,1,3,6,7,2,5]=>1100010=>[1,1,4,2] [1,6,5,3,8,4,7,2]=>0110101=>[2,1,2,2,1] [7,6,2,3,5,1,4,8]=>1100100=>[1,1,3,3] [6,2,5,3,4,8,1,7]=>1010010=>[1,2,3,2] [6,2,5,3,4,8,7,1]=>1010011=>[1,2,3,1,1] [2,6,5,3,4,8,1,7]=>0110010=>[2,1,3,2] [5,3,4,8,1,7,2,6]=>1001010=>[1,3,2,2] [5,1,3,4,8,7,2,6]=>1000110=>[1,4,1,2] [1,5,3,4,8,7,2,6]=>0100110=>[2,3,1,2] [5,1,3,8,4,7,6,2]=>1001011=>[1,3,2,1,1] [5,3,8,1,4,7,6,2]=>1010011=>[1,2,3,1,1] [4,3,5,8,1,7,6,2]=>1001011=>[1,3,2,1,1] [3,6,5,4,8,1,2,7]=>0110100=>[2,1,2,3] [3,6,5,4,8,2,7,1]=>0110101=>[2,1,2,2,1] [3,5,2,4,8,7,6,1]=>0100111=>[2,3,1,1,1] [2,5,3,6,8,4,1,7]=>0100110=>[2,3,1,2] [4,6,2,5,1,7,8,3]=>0101001=>[2,2,3,1] [2,3,1,7,4,8,6,5]=>0101011=>[2,2,2,1,1] [2,3,8,7,6,4,1,5]=>0011110=>[3,1,1,1,2] [2,6,3,7,4,1,5,8]=>0101100=>[2,2,1,3] [7,5,2,3,1,6,4,8]=>1101010=>[1,1,2,2,2] [1,8,3,6,4,2,7,5]=>0101101=>[2,2,1,2,1] [2,1,7,4,8,5,3,6]=>1010110=>[1,2,2,1,2] [8,1,7,3,2,5,4,6]=>1011010=>[1,2,1,2,2] [7,8,5,2,6,4,3,1]=>0110111=>[2,1,2,1,1,1] [4,2,8,1,3,6,7,5]=>1010001=>[1,2,4,1] [8,1,2,5,7,4,6,3]=>1000101=>[1,4,2,1] [7,4,6,3,1,2,5,8]=>1011000=>[1,2,1,4] [6,4,1,3,7,2,5,8]=>1100100=>[1,1,3,3] [8,2,5,3,6,1,4,7]=>1010100=>[1,2,2,3] [3,7,5,1,4,6,2,8]=>0110010=>[2,1,3,2] [6,8,7,4,1,5,2,3]=>0111010=>[2,1,1,2,2] [8,6,4,7,5,1,3,2]=>1101101=>[1,1,2,1,2,1] [6,1,2,4,7,8,3,5]=>1000010=>[1,5,2] [2,4,6,5,7,1,8,3]=>0010101=>[3,2,2,1] [3,2,8,9,10,1,4,5,6,7]=>100010000=>[1,4,5] [4,2,6,7,8,5,3,1]=>1000111=>[1,4,1,1,1] [6,2,4,7,8,5,3,1]=>1000111=>[1,4,1,1,1] [3,5,2,1,7,8,6,4]=>0110011=>[2,1,3,1,1] [4,2,7,8,6,5,1,3]=>1001110=>[1,3,1,1,2] [1,2,7,8,6,4,5,3]=>0001101=>[4,1,2,1] [4,8,1,2,6,5,3,7]=>0100110=>[2,3,1,2] [7,1,6,3,2,4,8,5]=>1011001=>[1,2,1,3,1] [6,4,8,1,2,3,7,5]=>1010001=>[1,2,4,1] [7,4,1,3,6,8,5,2]=>1100011=>[1,1,4,1,1] [5,2,7,1,4,6,3,8]=>1010010=>[1,2,3,2] [6,3,8,5,7,1,4,2]=>1010101=>[1,2,2,2,1] [2,4,3,8,5,7,1,6]=>0101010=>[2,2,2,2] [2,8,3,1,4,6,5,7]=>0110010=>[2,1,3,2] [4,5,7,6,1,3,8,2]=>0011001=>[3,1,3,1] [3,7,1,6,5,8,2,4]=>0101010=>[2,2,2,2] [7,4,3,6,8,2,1,5]=>1100110=>[1,1,3,1,2] [3,8,5,4,7,6,1,2]=>0110110=>[2,1,2,1,2] [1,4,6,8,7,3,5,2]=>0001101=>[4,1,2,1] [4,6,5,1,3,8,7,2]=>0110011=>[2,1,3,1,1] [5,4,6,2,1,8,7,3]=>1011011=>[1,2,1,2,1,1] [3,2,8,5,1,4,6,7]=>1011000=>[1,2,1,4] [3,5,4,1,2,8,6,7]=>0110010=>[2,1,3,2] [5,3,8,1,4,2,6,7]=>1010100=>[1,2,2,3] [5,3,8,1,4,2,7,6]=>1010101=>[1,2,2,2,1] [1,4,7,5,8,6,2,3]=>0010110=>[3,2,1,2] [8,5,7,6,3,4,1,2]=>1011010=>[1,2,1,2,2] [7,5,2,6,1,4,8,3]=>1101001=>[1,1,2,3,1] [2,4,5,1,8,3,7,6]=>0010101=>[3,2,2,1] [7,2,8,5,3,4,1,6]=>1011010=>[1,2,1,2,2] [6,4,5,3,1,7,8,2]=>1011001=>[1,2,1,3,1] [7,3,5,6,4,1,8,2]=>1001101=>[1,3,1,2,1] [1,4,7,6,8,5,2,3]=>0010110=>[3,2,1,2] [2,3,4,7,8,9,1,5,6]=>00000100=>[6,3] [2,3,6,7,8,9,1,4,5]=>00000100=>[6,3] [2,5,6,7,8,9,1,3,4]=>00000100=>[6,3] [2,3,4,5,1,9,6,7,8]=>00010100=>[4,2,3] [2,3,4,1,8,9,5,6,7]=>00100100=>[3,3,3] [2,3,4,5,8,9,10,1,6,7]=>000000100=>[7,3] [2,3,1,7,8,9,4,5,6]=>01000100=>[2,4,3] [2,3,4,7,8,9,10,1,5,6]=>000000100=>[7,3] [2,1,6,7,8,9,3,4,5]=>10000100=>[1,5,3] [2,3,6,7,8,9,10,1,4,5]=>000000100=>[7,3] [2,5,6,7,8,9,10,1,3,4]=>000000100=>[7,3] [2,5,6,3,4,1,8,7]=>0010101=>[3,2,2,1] [4,6,2,1,5,8,3,7]=>0110010=>[2,1,3,2] [4,6,7,2,3,8,5,1]=>0010011=>[3,3,1,1] [4,5,3,7,8,1,2,6]=>0100100=>[2,3,3] [2,3,5,8,1,6,4,7]=>0001010=>[4,2,2] [1,7,4,5,8,3,6,2]=>0100101=>[2,3,2,1] [2,8,5,6,3,1,4,7]=>0101100=>[2,2,1,3] [4,8,2,6,1,5,7,3]=>0101001=>[2,2,3,1] [2,3,7,8,1,5,4,6]=>0001010=>[4,2,2] [5,2,6,7,8,3,1,4]=>1000110=>[1,4,1,2] [5,6,2,7,8,3,1,4]=>0100110=>[2,3,1,2] [2,3,7,5,8,4,6,1]=>0010101=>[3,2,2,1] [3,7,8,5,1,4,6,2]=>0011001=>[3,1,3,1] [2,5,6,7,1,8,4,3]=>0001011=>[4,2,1,1] [8,5,3,6,4,2,1,7]=>1101110=>[1,1,2,1,1,2] [6,4,7,8,1,2,5,3]=>1001001=>[1,3,3,1] [7,5,8,1,2,3,6,4]=>1010001=>[1,2,4,1] [1,2,8,7,4,6,5,3]=>0011011=>[3,1,2,1,1] [5,1,4,8,7,3,6,2]=>1001101=>[1,3,1,2,1] [4,3,1,8,7,5,6,2]=>1101101=>[1,1,2,1,2,1] [4,3,2,7,6,1,5,8]=>1101100=>[1,1,2,1,3] [7,2,6,5,3,1,4,8]=>1011100=>[1,2,1,1,3] [1,3,7,6,2,4,8,5]=>0011001=>[3,1,3,1] [1,3,8,2,7,4,6,5]=>0010101=>[3,2,2,1] [8,2,7,1,6,4,3,5]=>1010110=>[1,2,2,1,2] [4,3,2,8,1,7,5,6]=>1101010=>[1,1,2,2,2] [7,5,4,1,6,3,8,2]=>1110101=>[1,1,1,2,2,1] [1,6,5,3,2,4,8,7]=>0111001=>[2,1,1,3,1] [1,7,3,5,2,4,8,6]=>0101001=>[2,2,3,1] [4,3,7,2,5,1,6,8]=>1010100=>[1,2,2,3] [5,1,4,3,2,6,8,7]=>1011001=>[1,2,1,3,1] [7,2,1,3,5,4,6,8]=>1100100=>[1,1,3,3] [8,3,7,5,4,2,6,1]=>1011101=>[1,2,1,1,2,1] [1,6,8,7,5,2,3,4]=>0011100=>[3,1,1,3] [4,3,6,1,8,5,2,7]=>1010110=>[1,2,2,1,2] [1,3,6,2,5,4,8,7]=>0010101=>[3,2,2,1] [1,4,8,7,3,6,2,5]=>0011010=>[3,1,2,2] [1,2,7,3,8,4,9,5,10,6]=>001010101=>[3,2,2,2,1] [4,5,7,6,3,1,8,2]=>0011101=>[3,1,1,2,1] [4,6,7,5,1,3,8,2]=>0011001=>[3,1,3,1] [3,6,5,1,4,7,8,2]=>0110001=>[2,1,4,1] [4,6,7,3,1,5,8,2]=>0011001=>[3,1,3,1] [5,4,1,8,7,3,6,2]=>1101101=>[1,1,2,1,2,1] [6,2,4,7,5,3,1,8]=>1001110=>[1,3,1,1,2] [6,2,5,1,8,7,3,4]=>1010110=>[1,2,2,1,2] [3,2,6,1,5,8,7,4]=>1010011=>[1,2,3,1,1] [4,2,3,6,7,5,1,8]=>1000110=>[1,4,1,2] [6,2,3,5,7,4,1,8]=>1000110=>[1,4,1,2] [1,6,3,8,4,7,2,5]=>0101010=>[2,2,2,2] [8,1,5,2,4,7,3,6]=>1010010=>[1,2,3,2] [7,5,8,1,4,2,3,6]=>1010100=>[1,2,2,3] [4,1,2,3,6,5,8,7,9]=>10001010=>[1,4,2,2] [4,1,2,3,6,5,8,7,10,9]=>100010101=>[1,4,2,2,1] [4,1,6,2,3,5,8,7,9]=>10100010=>[1,2,4,2] [1,3,4,8,5,6,2,7]=>0001010=>[4,2,2] [3,2,7,1,8,6,5,4]=>1010111=>[1,2,2,1,1,1] [1,3,8,5,6,7,2,4]=>0010010=>[3,3,2] [6,2,4,1,5,7,8,3]=>1010001=>[1,2,4,1] [5,8,4,1,3,6,7,2]=>0110001=>[2,1,4,1] [6,7,2,3,8,1,4,5]=>0100100=>[2,3,3] [3,2,7,4,8,1,5,6]=>1010100=>[1,2,2,3] [5,2,8,1,7,4,6,3]=>1010101=>[1,2,2,2,1] [2,5,4,7,3,1,8,6]=>0101101=>[2,2,1,2,1] [4,6,3,1,2,5,7,8]=>0110000=>[2,1,5] [7,4,6,8,3,1,2,5]=>1001100=>[1,3,1,3] [8,5,4,7,3,1,2,6]=>1101100=>[1,1,2,1,3] [7,3,2,1,5,4,8,6]=>1110101=>[1,1,1,2,2,1] [2,5,6,4,8,1,3,7]=>0010100=>[3,2,3] [5,4,1,6,2,3,7,8]=>1101000=>[1,1,2,4] [1,3,6,5,2,4,7,8]=>0011000=>[3,1,4] [6,4,5,1,2,8,7,3]=>1010011=>[1,2,3,1,1] [5,4,1,2,7,6,3,8]=>1100110=>[1,1,3,1,2] [5,8,7,3,1,2,4,6]=>0111000=>[2,1,1,4] [2,7,8,1,4,5,3,6]=>0010010=>[3,3,2] [4,1,2,8,7,3,6,5]=>1001101=>[1,3,1,2,1] [6,1,2,4,3,8,7,5]=>1001011=>[1,3,2,1,1] [3,7,8,1,2,4,6,5]=>0010001=>[3,4,1] [7,3,4,1,2,6,8,5]=>1010001=>[1,2,4,1] [8,4,3,1,2,6,5,7]=>1110010=>[1,1,1,3,2] [3,8,2,7,4,5,1,6]=>0101010=>[2,2,2,2] [8,6,2,3,5,4,1,7]=>1100110=>[1,1,3,1,2] [8,2,6,1,3,5,4,7]=>1010010=>[1,2,3,2] [8,4,3,7,2,5,6,1]=>1101001=>[1,1,2,3,1] [8,3,1,7,4,5,2,6]=>1101010=>[1,1,2,2,2] [8,2,4,5,1,7,3,6]=>1001010=>[1,3,2,2] [6,8,2,4,5,1,7,3]=>0100101=>[2,3,2,1] [4,3,8,1,7,5,6,2]=>1010101=>[1,2,2,2,1] [8,4,3,7,1,5,6,2]=>1101001=>[1,1,2,3,1] [8,3,4,7,2,6,5,1]=>1001011=>[1,3,2,1,1] [8,1,3,7,6,4,5,2]=>1001101=>[1,3,1,2,1] [8,3,7,1,4,5,6,2]=>1010001=>[1,2,4,1] [8,7,3,6,1,2,5,4]=>1101001=>[1,1,2,3,1] [8,3,7,6,2,4,5,1]=>1011001=>[1,2,1,3,1] [8,7,2,3,6,1,5,4]=>1100101=>[1,1,3,2,1] [8,2,7,1,3,4,6,5]=>1010001=>[1,2,4,1] [5,1,8,4,2,3,7,6]=>1011001=>[1,2,1,3,1] [8,2,4,7,3,1,6,5]=>1001101=>[1,3,1,2,1] [8,2,7,6,3,1,4,5]=>1011100=>[1,2,1,1,3] [6,8,1,4,7,3,2,5]=>0100110=>[2,3,1,2] [8,5,7,2,6,3,1,4]=>1010110=>[1,2,2,1,2] [5,8,2,7,3,1,6,4]=>0101101=>[2,2,1,2,1] [8,1,2,6,7,5,4,3]=>1000111=>[1,4,1,1,1] [8,4,1,7,5,6,2,3]=>1101010=>[1,1,2,2,2] [8,2,4,7,6,5,1,3]=>1001110=>[1,3,1,1,2] [8,2,7,6,4,5,1,3]=>1011010=>[1,2,1,2,2] [8,4,7,2,3,6,5,1]=>1010011=>[1,2,3,1,1] [8,2,4,7,3,6,5,1]=>1001011=>[1,3,2,1,1] [8,1,7,6,4,5,2,3]=>1011010=>[1,2,1,2,2] [8,1,2,7,6,4,5,3]=>1001101=>[1,3,1,2,1] [8,1,4,7,3,6,5,2]=>1001011=>[1,3,2,1,1] [2,3,1,9,8,7,6,5,4]=>01011111=>[2,2,1,1,1,1,1] [3,4,2,1,9,8,7,6,5]=>01101111=>[2,1,2,1,1,1,1] [4,5,3,2,1,9,8,7,6]=>01110111=>[2,1,1,2,1,1,1] [5,6,4,3,2,1,9,8,7]=>01111011=>[2,1,1,1,2,1,1] [6,7,5,4,3,2,1,9,8]=>01111101=>[2,1,1,1,1,2,1] [2,8,1,5,3,7,6,4]=>0101011=>[2,2,2,1,1] [1,8,2,4,7,5,6,3]=>0100101=>[2,3,2,1] [2,3,8,4,7,1,6,5]=>0010101=>[3,2,2,1] [1,8,2,3,5,6,4,7]=>0100010=>[2,4,2] [1,4,7,6,2,3,5,8]=>0011000=>[3,1,4] [1,7,6,2,3,8,4,5]=>0110010=>[2,1,3,2] [1,8,2,3,7,6,4,5]=>0100110=>[2,3,1,2] [1,7,3,8,6,2,5,4]=>0101101=>[2,2,1,2,1] [5,8,2,3,7,4,1,6]=>0100110=>[2,3,1,2] [4,2,8,3,7,6,1,5]=>1010110=>[1,2,2,1,2] [1,3,5,6,4,8,2,7]=>0001010=>[4,2,2] [3,1,7,8,5,2,4,6]=>1001100=>[1,3,1,3] [7,1,2,3,4,5,9,6,10,8]=>100000101=>[1,6,2,1] [4,6,1,8,2,7,5,3]=>0101011=>[2,2,2,1,1] [6,3,5,2,8,4,7,1]=>1010101=>[1,2,2,2,1] [1,6,3,5,2,8,4,7]=>0101010=>[2,2,2,2] [5,4,8,6,3,7,2,1]=>1011011=>[1,2,1,2,1,1] [6,4,5,8,1,3,7,2]=>1001001=>[1,3,3,1] [6,3,5,1,8,4,7,2]=>1010101=>[1,2,2,2,1] [2,6,3,1,5,8,4,7]=>0110010=>[2,1,3,2] [2,5,4,8,6,3,1,7]=>0101110=>[2,2,1,1,2] [2,5,4,8,6,3,7,1]=>0101101=>[2,2,1,2,1] [1,2,5,4,8,6,3,7]=>0010110=>[3,2,1,2] [6,4,5,8,2,1,7,3]=>1001101=>[1,3,1,2,1] [5,3,4,1,2,6,8,7]=>1010001=>[1,2,4,1] [1,4,3,5,2,8,6,7]=>0101010=>[2,2,2,2] [1,3,5,4,8,2,6,7]=>0010100=>[3,2,3] [3,5,4,8,2,6,1,7]=>0101010=>[2,2,2,2] [3,6,4,5,1,2,8,7]=>0101001=>[2,2,3,1] [4,3,5,1,8,6,2,7]=>1010110=>[1,2,2,1,2] [3,5,4,8,1,6,2,7]=>0101010=>[2,2,2,2] [3,4,8,5,6,1,2,7]=>0010100=>[3,2,3] [3,4,8,5,6,2,1,7]=>0010110=>[3,2,1,2] [3,5,4,8,1,6,7,2]=>0101001=>[2,2,3,1] [2,4,3,1,5,8,6,7]=>0110010=>[2,1,3,2] [1,7,6,2,5,4,8,3]=>0110101=>[2,1,2,2,1] [5,6,1,7,4,3,8,2]=>0101101=>[2,2,1,2,1] [3,1,5,6,4,2,7,8]=>1001100=>[1,3,1,3] [8,3,4,1,6,5,7,2]=>1010101=>[1,2,2,2,1] [8,1,6,4,3,5,2,7]=>1011010=>[1,2,1,2,2] [1,3,7,8,2,6,4,5]=>0001010=>[4,2,2] [2,1,6,5,3,8,7,4]=>1011011=>[1,2,1,2,1,1] [3,7,5,6,4,2,1,8]=>0101110=>[2,2,1,1,2] [6,1,4,3,7,5,8,2]=>1010101=>[1,2,2,2,1] [3,8,6,4,5,2,7,1]=>0110101=>[2,1,2,2,1] [4,5,8,6,2,3,7,1]=>0011001=>[3,1,3,1] [4,6,8,5,3,7,2,1]=>0011011=>[3,1,2,1,1] [4,5,7,2,8,6,3,1]=>0010111=>[3,2,1,1,1] [3,7,4,5,1,6,8,2]=>0101001=>[2,2,3,1] [4,6,8,1,2,5,7,3]=>0010001=>[3,4,1] [4,6,8,5,1,3,7,2]=>0011001=>[3,1,3,1] [3,7,4,5,2,8,6,1]=>0101011=>[2,2,2,1,1] [3,7,8,4,6,1,5,2]=>0010101=>[3,2,2,1] [4,5,7,2,1,6,8,3]=>0011001=>[3,1,3,1] [4,5,1,6,8,3,7,2]=>0100101=>[2,3,2,1] [8,3,5,4,6,1,2,7]=>1010100=>[1,2,2,3] [3,4,5,6,1,7,2,9,8]=>00010101=>[4,2,2,1] [1,7,4,5,2,6,8,3]=>0101001=>[2,2,3,1] [1,4,5,9,6,7,2,8,3]=>00010101=>[4,2,2,1] [3,4,5,6,7,1,8,2,10,9]=>000010101=>[5,2,2,1] [2,4,5,9,6,1,7,3,8]=>00011010=>[4,1,2,2] [3,4,5,7,6,1,9,2,8]=>00011010=>[4,1,2,2] [1,4,2,6,5,3,8,7]=>0101101=>[2,2,1,2,1] [3,1,5,8,4,6,2,7]=>1001010=>[1,3,2,2] [3,5,6,9,7,1,8,2,4]=>00011010=>[4,1,2,2] [1,4,8,5,6,2,7,9,3]=>00101001=>[3,2,3,1] [1,4,5,6,10,7,8,2,9,3]=>000010101=>[5,2,2,1] [3,4,5,6,7,8,1,9,2,11,10]=>0000010101=>[6,2,2,1] [2,4,5,6,10,7,1,8,3,9]=>000011010=>[5,1,2,2] [3,4,5,6,8,7,1,10,2,9]=>000011010=>[5,1,2,2] [2,5,9,6,7,3,1,4,8]=>00101100=>[3,2,1,3] [4,1,5,2,7,6,3,9,8]=>10101101=>[1,2,2,1,2,1] [3,4,1,6,9,5,7,2,8]=>01001010=>[2,3,2,2] [8,2,6,3,4,1,5,7]=>1010100=>[1,2,2,3] [4,6,5,8,2,1,3,7]=>0101100=>[2,2,1,3] [1,4,8,3,5,6,2,7]=>0010010=>[3,3,2] [1,8,7,4,2,3,6,5]=>0111001=>[2,1,1,3,1] [6,7,9,8,1,3,4,2,5]=>00110010=>[3,1,3,2] [9,1,5,2,8,6,3,7,4]=>10101101=>[1,2,2,1,2,1] [3,5,6,7,10,8,1,9,2,4]=>000011010=>[5,1,2,2] [1,7,4,5,2,6,8,9,3]=>01010001=>[2,2,4,1] [1,4,5,9,6,7,2,8,10,3]=>000101001=>[4,2,3,1] [1,4,5,6,7,11,8,9,2,10,3]=>0000010101=>[6,2,2,1] [4,3,1,8,5,7,2,6]=>1101010=>[1,1,2,2,2] [7,3,2,4,8,1,6,5]=>1100101=>[1,1,3,2,1] [3,7,2,4,5,8,1,6]=>0100010=>[2,4,2] [3,2,7,4,6,1,8,5]=>1010101=>[1,2,2,2,1] [8,3,2,4,6,1,7,5]=>1100101=>[1,1,3,2,1] [8,3,2,4,5,7,1,6]=>1100010=>[1,1,4,2] [7,4,6,2,1,3,8,5]=>1011001=>[1,2,1,3,1] [3,6,7,2,4,1,8,5]=>0010101=>[3,2,2,1] [5,4,8,7,6,2,3,1]=>1011101=>[1,2,1,1,2,1] [5,2,3,8,7,1,6,4]=>1001101=>[1,3,1,2,1] [7,5,2,4,1,3,8,6]=>1101001=>[1,1,2,3,1] [7,2,6,8,5,1,3,4]=>1001100=>[1,3,1,3] [8,2,3,4,1,6,7,5]=>1001001=>[1,3,3,1] [9,2,3,4,5,6,1,8,7]=>10000101=>[1,5,2,1] [9,2,3,4,5,1,7,8,6]=>10001001=>[1,4,3,1] [9,2,3,4,1,6,7,8,5]=>10010001=>[1,3,4,1] [9,2,3,1,5,6,7,8,4]=>10100001=>[1,2,5,1] [9,2,1,4,5,6,7,8,3]=>11000001=>[1,1,6,1] [10,2,3,4,5,6,7,1,9,8]=>100000101=>[1,6,2,1] [5,2,3,4,1,9,6,8,7]=>10010101=>[1,3,2,2,1] [10,2,3,4,5,6,1,8,9,7]=>100001001=>[1,5,3,1] [4,2,3,1,9,5,7,8,6]=>10101001=>[1,2,2,3,1] [10,2,3,4,5,1,7,8,9,6]=>100010001=>[1,4,4,1] [3,2,1,9,4,6,7,8,5]=>11010001=>[1,1,2,4,1] [10,2,3,4,1,6,7,8,9,5]=>100100001=>[1,3,5,1] [2,1,9,3,5,6,7,8,4]=>10100001=>[1,2,5,1] [10,2,3,1,5,6,7,8,9,4]=>101000001=>[1,2,6,1] [10,2,1,4,5,6,7,8,9,3]=>110000001=>[1,1,7,1] [7,4,3,8,1,6,5,2]=>1101011=>[1,1,2,2,1,1] [6,5,1,4,3,8,7,2]=>1101011=>[1,1,2,2,1,1] [4,7,6,2,5,8,1,3]=>0110010=>[2,1,3,2] [6,3,2,4,5,8,1,7]=>1100010=>[1,1,4,2] [2,6,4,5,8,3,1,7]=>0100110=>[2,3,1,2] [3,7,4,8,6,2,5,1]=>0101101=>[2,2,1,2,1] [7,3,5,2,8,1,4,6]=>1010100=>[1,2,2,3] [1,5,8,7,4,2,3,6]=>0011100=>[3,1,1,3] [1,7,2,4,5,8,6,3]=>0100011=>[2,4,1,1] [1,4,6,8,7,2,5,3]=>0001101=>[4,1,2,1] [1,6,2,7,5,3,4,8]=>0101100=>[2,2,1,3] [1,3,7,2,6,4,5,8]=>0010100=>[3,2,3] [1,7,3,2,8,5,6,4]=>0110101=>[2,1,2,2,1] [1,6,5,2,4,8,3,7]=>0110010=>[2,1,3,2] [1,7,3,8,4,2,5,6]=>0101100=>[2,2,1,3] [1,6,2,4,7,5,8,3]=>0100101=>[2,3,2,1] [1,6,2,7,4,3,8,5]=>0101101=>[2,2,1,2,1] [1,5,8,2,3,6,4,7]=>0010010=>[3,3,2] [6,8,9,1,2,3,4,5,7]=>00100000=>[3,6] [5,8,9,1,2,3,4,6,7]=>00100000=>[3,6] [2,5,3,6,7,1,4,8]=>0100100=>[2,3,3] [6,4,1,5,7,2,3,8]=>1100100=>[1,1,3,3] [6,4,1,5,7,3,8,2]=>1100101=>[1,1,3,2,1] [1,2,7,3,8,5,6,4]=>0010101=>[3,2,2,1] [7,4,1,6,3,8,2,5]=>1101010=>[1,1,2,2,2] [1,5,7,4,3,8,6,2]=>0011011=>[3,1,2,1,1] [2,7,3,1,4,5,8,6]=>0110001=>[2,1,4,1] [2,3,4,5,1,7,6,9,8]=>00010101=>[4,2,2,1] [2,3,4,1,6,5,8,7,9]=>00101010=>[3,2,2,2] [2,3,4,5,6,7,1,9,8,10]=>000001010=>[6,2,2] [2,3,4,5,1,8,6,9,7]=>00010101=>[4,2,2,1] [2,3,4,1,7,5,8,6,9]=>00101010=>[3,2,2,2] [2,3,4,5,1,7,6,9,8,10]=>000101010=>[4,2,2,2] [6,5,8,3,2,7,1,4]=>1011010=>[1,2,1,2,2] [8,4,3,1,7,6,5,2]=>1110111=>[1,1,1,2,1,1,1] [1,2,6,7,5,3,4,8]=>0001100=>[4,1,3] [1,2,6,8,7,4,5,3]=>0001101=>[4,1,2,1] [3,4,5,6,7,9,1,8,2]=>00000101=>[6,2,1] [3,4,5,6,8,2,7,1]=>0000101=>[5,2,1] [3,4,5,6,7,8,10,1,9,2]=>000000101=>[7,2,1] [3,4,5,6,7,9,2,8,1]=>00000101=>[6,2,1] [3,4,5,6,7,1,9,8,2]=>00001011=>[5,2,1,1] [7,2,1,4,5,6,3,8]=>1100010=>[1,1,4,2] [1,5,6,7,3,4,2,8]=>0001010=>[4,2,2] [4,6,8,5,2,1,7,3]=>0011101=>[3,1,1,2,1] [1,6,7,8,2,4,5,3]=>0001001=>[4,3,1] [4,7,8,2,1,3,5,6]=>0011000=>[3,1,4] [5,7,8,3,2,4,6,1]=>0011001=>[3,1,3,1] [5,7,8,2,3,1,6,4]=>0010101=>[3,2,2,1] [5,3,4,2,1,9,8,7,6]=>10110111=>[1,2,1,2,1,1,1] [6,5,3,4,2,1,9,8,7]=>11011011=>[1,1,2,1,2,1,1] [7,6,4,5,3,2,1,9,8]=>11011101=>[1,1,2,1,1,2,1] [4,5,2,7,8,6,1,3]=>0100110=>[2,3,1,2] [1,3,5,8,7,2,6,4]=>0001101=>[4,1,2,1] [6,4,1,8,5,7,3,2]=>1101011=>[1,1,2,2,1,1] [4,1,3,8,7,5,2,6]=>1001110=>[1,3,1,1,2] [8,5,1,6,7,2,4,3]=>1100101=>[1,1,3,2,1] [3,6,7,2,1,5,8,4]=>0011001=>[3,1,3,1] [2,5,6,1,3,8,7,4]=>0010011=>[3,3,1,1] [7,2,5,6,1,3,8,4]=>1001001=>[1,3,3,1] [6,4,1,2,5,8,3,7]=>1100010=>[1,1,4,2] [4,6,3,5,7,1,8,2]=>0100101=>[2,3,2,1] [4,7,3,5,2,6,8,1]=>0101001=>[2,2,3,1] [2,3,5,4,7,1,8,6]=>0010101=>[3,2,2,1] [6,8,4,1,5,7,3,2]=>0110011=>[2,1,3,1,1] [8,1,6,2,3,7,5,4]=>1010011=>[1,2,3,1,1] [7,8,9,6,1,2,3,4,10,5]=>001100001=>[3,1,5,1] [2,8,9,10,7,1,3,4,5,6]=>000110000=>[4,1,5] [8,9,10,7,6,1,2,3,4,11,5]=>0011100001=>[3,1,1,5,1] [8,9,7,5,6,1,2,3,10,4]=>011010001=>[2,1,2,4,1] [2,9,10,8,6,7,1,3,4,5]=>001101000=>[3,1,2,4] [7,8,9,10,1,2,3,4,5,11,6]=>0001000001=>[4,6,1] [7,8,9,5,1,2,3,4,10,6]=>001100001=>[3,1,5,1] [7,8,9,1,6,2,3,4,10,5]=>001010001=>[3,2,4,1] [2,8,9,10,6,1,3,4,5,7]=>000110000=>[4,1,5] [2,8,9,10,1,7,3,4,5,6]=>000101000=>[4,2,4] [2,8,3,6,4,1,7,5]=>0101101=>[2,2,1,2,1] [6,5,3,4,8,2,1,7]=>1100110=>[1,1,3,1,2] [5,4,8,7,3,6,2,1]=>1011011=>[1,2,1,2,1,1] [3,4,5,1,2,6,7,8,9]=>00100000=>[3,6] [5,2,7,6,8,3,4,1]=>1010101=>[1,2,2,2,1] [8,4,5,2,7,3,6,1]=>1010101=>[1,2,2,2,1] [6,3,7,4,5,2,8,1]=>1010101=>[1,2,2,2,1] [7,3,4,2,8,5,6,1]=>1010101=>[1,2,2,2,1] [4,3,6,5,8,2,7,1]=>1010101=>[1,2,2,2,1] [8,2,7,4,5,3,6,1]=>1010101=>[1,2,2,2,1] [7,2,8,4,5,3,6,1]=>1010101=>[1,2,2,2,1] [6,3,8,2,7,4,5,1]=>1010101=>[1,2,2,2,1] [3,2,8,4,7,5,6,1]=>1010101=>[1,2,2,2,1] [8,3,6,2,7,4,5,1]=>1010101=>[1,2,2,2,1] [4,2,3,5,6,7,8,9,10,1]=>100000001=>[1,8,1] [2,3,4,5,6,7,8,11,1,9,10]=>0000000100=>[8,3] [2,3,11,1,4,5,6,7,8,9,10]=>0010000000=>[3,8] [1,7,8,4,3,6,5,2]=>0011011=>[3,1,2,1,1] [1,7,8,3,6,5,4,2]=>0010111=>[3,2,1,1,1] [6,4,5,8,7,2,1,3]=>1001110=>[1,3,1,1,2] [5,8,1,7,2,4,3,6]=>0101010=>[2,2,2,2] [2,5,7,3,8,1,4,6]=>0010100=>[3,2,3] [8,3,5,2,1,6,7,4]=>1011001=>[1,2,1,3,1] [2,6,4,7,1,8,5,3]=>0101011=>[2,2,2,1,1] [1,6,5,7,3,8,2,4]=>0101010=>[2,2,2,2] [1,8,5,3,7,6,2,4]=>0110110=>[2,1,2,1,2] [6,4,2,3,8,7,5,1]=>1100111=>[1,1,3,1,1,1] [6,1,4,2,7,8,3,5]=>1010010=>[1,2,3,2] [6,5,1,3,7,8,4,2]=>1100011=>[1,1,4,1,1] [5,1,3,2,7,8,6,4]=>1010011=>[1,2,3,1,1] [6,7,4,2,3,8,5,1]=>0110011=>[2,1,3,1,1] [5,8,7,3,2,4,6,1]=>0111001=>[2,1,1,3,1] [5,1,3,2,6,8,4,7]=>1010010=>[1,2,3,2] [5,7,1,4,6,8,2,3]=>0100010=>[2,4,2] [2,4,1,7,5,6,3,8]=>0101010=>[2,2,2,2] [1,4,3,7,6,2,8,5]=>0101101=>[2,2,1,2,1] [1,6,2,5,7,3,8,4]=>0100101=>[2,3,2,1] [1,4,3,8,2,5,7,6]=>0101001=>[2,2,3,1] [1,5,7,3,6,4,2,8]=>0010110=>[3,2,1,2] [1,6,7,2,4,8,3,5]=>0010010=>[3,3,2] [3,7,2,8,4,1,5,6]=>0101100=>[2,2,1,3] [2,4,1,5,3,6,8,7,9]=>01010010=>[2,2,3,2] [2,4,1,7,3,8,5,6,9]=>01010100=>[2,2,2,3] [5,3,4,1,7,8,6,2]=>1010011=>[1,2,3,1,1] [4,7,6,5,8,2,3,1]=>0110101=>[2,1,2,2,1] [2,3,8,4,5,7,1,6]=>0010010=>[3,3,2] [4,1,8,3,2,6,5,7]=>1011010=>[1,2,1,2,2] [1,2,6,8,4,3,5,7]=>0001100=>[4,1,3] [7,2,6,3,1,8,4,5]=>1011010=>[1,2,1,2,2] [5,8,4,1,3,7,2,6]=>0110010=>[2,1,3,2] [3,4,2,1,6,8,5,7]=>0110010=>[2,1,3,2] [8,1,3,5,6,4,7,2]=>1000101=>[1,4,2,1] [3,4,7,1,5,6,2,8]=>0010010=>[3,3,2] [4,8,2,6,5,3,7,1]=>0101101=>[2,2,1,2,1] [4,8,7,2,5,6,1,3]=>0110010=>[2,1,3,2] [5,8,6,4,7,3,2,1]=>0110111=>[2,1,2,1,1,1] [8,5,2,3,1,6,7,4]=>1101001=>[1,1,2,3,1] [2,8,6,3,5,1,7,4]=>0110101=>[2,1,2,2,1] [8,3,2,6,4,1,7,5]=>1101101=>[1,1,2,1,2,1] [8,4,1,5,3,6,7,2]=>1101001=>[1,1,2,3,1] [8,3,5,1,4,6,7,2]=>1010001=>[1,2,4,1] [8,5,1,3,4,6,7,2]=>1100001=>[1,1,5,1] [3,8,6,2,5,4,7,1]=>0110101=>[2,1,2,2,1] [3,8,4,6,5,2,7,1]=>0101101=>[2,2,1,2,1] [8,1,7,4,2,5,3,6]=>1011010=>[1,2,1,2,2] [8,3,2,5,1,4,7,6]=>1101001=>[1,1,2,3,1] [8,4,5,1,2,6,7,3]=>1010001=>[1,2,4,1] [8,1,5,3,2,6,7,4]=>1011001=>[1,2,1,3,1] [8,1,5,2,4,6,7,3]=>1010001=>[1,2,4,1] [5,2,6,4,1,3,8,7]=>1011001=>[1,2,1,3,1] [7,1,3,5,2,8,6,4]=>1001011=>[1,3,2,1,1] [8,6,4,7,1,3,5,2]=>1101001=>[1,1,2,3,1] [6,8,4,3,2,1,7,5]=>0111101=>[2,1,1,1,2,1] [2,1,8,5,4,3,7,6]=>1011101=>[1,2,1,1,2,1] [6,2,8,5,4,1,3,7]=>1011100=>[1,2,1,1,3] [6,4,8,5,3,2,7,1]=>1011101=>[1,2,1,1,2,1] [9,10,6,7,4,5,2,3,1,8]=>010101010=>[2,2,2,2,2] [8,5,4,6,2,7,1,3]=>1101010=>[1,1,2,2,2] [6,8,5,4,7,2,3,1]=>0110101=>[2,1,2,2,1] [2,5,7,3,4,8,1,6]=>0010010=>[3,3,2] [5,2,4,7,8,1,3,6]=>1000100=>[1,4,3] [8,5,9,3,6,1,2,4,7]=>10101000=>[1,2,2,4] [9,7,1,5,8,3,6,2,4]=>11001010=>[1,1,3,2,2] [9,7,5,4,1,3,8,2,6]=>11110010=>[1,1,1,1,3,2] [8,9,4,5,10,1,2,3,6,7]=>010010000=>[2,3,5] [8,4,3,9,10,1,2,5,6,7]=>110010000=>[1,1,3,5] [9,6,10,1,3,7,8,2,4,5]=>101000100=>[1,2,4,3] [9,10,6,7,4,5,1,2,3,8]=>010101000=>[2,2,2,4] [9,6,4,10,3,7,1,2,5,8]=>110101000=>[1,1,2,2,4] [10,1,8,9,6,7,4,5,2,3]=>100101010=>[1,3,2,2,2] [10,8,6,1,4,9,3,7,2,5]=>111001010=>[1,1,1,3,2,2] [10,8,6,5,4,1,3,9,2,7]=>111110010=>[1,1,1,1,1,3,2] [10,8,7,6,5,4,3,1,2,9]=>111111100=>[1,1,1,1,1,1,1,3] [4,8,5,6,1,2,7,3]=>0101001=>[2,2,3,1] [2,5,6,8,7,1,4,3]=>0001101=>[4,1,2,1] [1,7,8,5,4,6,2,3]=>0011010=>[3,1,2,2] [4,6,8,1,5,2,7,3]=>0010101=>[3,2,2,1] [5,3,8,1,2,6,7,4]=>1010001=>[1,2,4,1] [8,2,3,6,4,1,7,5]=>1001101=>[1,3,1,2,1] [2,3,7,5,8,6,1,4]=>0010110=>[3,2,1,2] [3,8,5,1,2,4,7,6]=>0110001=>[2,1,4,1] [1,3,6,4,8,2,7,5]=>0010101=>[3,2,2,1] [1,2,3,4,6,5,7,8,9,10]=>000010000=>[5,5] [1,2,3,4,5,6,8,7,9,10]=>000000100=>[7,3] [1,7,6,2,8,5,3,4]=>0110110=>[2,1,2,1,2] [1,5,8,6,4,7,2,3]=>0011010=>[3,1,2,2] [5,6,2,8,1,7,3,4]=>0101010=>[2,2,2,2] [6,8,4,5,1,3,7,2]=>0101001=>[2,2,3,1] [5,2,3,8,1,4,6,7]=>1001000=>[1,3,4] [1,6,8,3,2,4,5,7]=>0011000=>[3,1,4] [9,6,5,4,3,2,1,7,8]=>11111100=>[1,1,1,1,1,1,3] [10,7,6,5,4,3,2,1,8,9]=>111111100=>[1,1,1,1,1,1,1,3] [9,8,5,4,3,2,1,6,7]=>11111100=>[1,1,1,1,1,1,3] [8,6,5,2,4,3,7,1]=>1110101=>[1,1,1,2,2,1] [6,2,5,3,7,4,8,1]=>1010101=>[1,2,2,2,1] [8,5,4,2,6,3,7,1]=>1110101=>[1,1,1,2,2,1] [8,5,3,2,6,4,7,1]=>1110101=>[1,1,1,2,2,1] [7,4,6,5,8,2,3,1]=>1010101=>[1,2,2,2,1] [7,3,6,5,8,2,4,1]=>1010101=>[1,2,2,2,1] [7,3,6,4,8,2,5,1]=>1010101=>[1,2,2,2,1] [7,3,5,4,8,2,6,1]=>1010101=>[1,2,2,2,1] [7,3,6,8,4,5,1,2]=>1001010=>[1,3,2,2] [1,6,5,7,4,2,8,3]=>0101101=>[2,2,1,2,1] [1,2,7,4,8,5,6,3]=>0010101=>[3,2,2,1] [2,6,7,4,8,5,1,3]=>0010110=>[3,2,1,2] [2,5,8,6,4,3,7,1]=>0011101=>[3,1,1,2,1] [6,4,2,5,7,1,8,3]=>1100101=>[1,1,3,2,1] [2,7,5,4,6,8,1,3]=>0110010=>[2,1,3,2] [9,1,2,3,4,5,8,7,6]=>10000011=>[1,6,1,1] [9,1,2,3,4,8,6,7,5]=>10000101=>[1,5,2,1] [8,1,4,7,3,5,6,2]=>1001001=>[1,3,3,1] [9,1,2,8,4,5,6,7,3]=>10010001=>[1,3,4,1] [8,3,7,2,4,5,6,1]=>1010001=>[1,2,4,1] [9,1,8,3,4,5,6,7,2]=>10100001=>[1,2,5,1] [10,1,2,3,4,5,6,9,8,7]=>100000011=>[1,7,1,1] [9,1,2,3,4,7,8,6,5]=>10000011=>[1,6,1,1] [10,1,2,3,4,5,9,7,8,6]=>100000101=>[1,6,2,1] [9,1,2,3,6,8,5,7,4]=>10000101=>[1,5,2,1] [9,1,2,5,8,4,6,7,3]=>10001001=>[1,4,3,1] [10,1,2,3,9,5,6,7,8,4]=>100010001=>[1,4,4,1] [8,1,4,5,7,3,6,2]=>1000101=>[1,4,2,1] [9,1,4,8,3,5,6,7,2]=>10010001=>[1,3,4,1] [10,1,2,9,4,5,6,7,8,3]=>100100001=>[1,3,5,1] [9,3,8,2,4,5,6,7,1]=>10100001=>[1,2,5,1] [5,6,3,4,2,8,7,1]=>0101011=>[2,2,2,1,1] [2,5,7,4,6,8,1,3]=>0010010=>[3,3,2] [2,5,6,4,1,3,8,7]=>0011001=>[3,1,3,1] [4,6,1,3,5,7,2,8]=>0100010=>[2,4,2] [3,2,7,5,8,1,6,4]=>1010101=>[1,2,2,2,1] [4,3,6,8,5,2,1,7]=>1001110=>[1,3,1,1,2] [4,5,3,2,1,8,6,7]=>0111010=>[2,1,1,2,2] [3,6,5,8,1,7,4,2]=>0101011=>[2,2,2,1,1] [4,1,6,8,5,2,3,7]=>1001100=>[1,3,1,3] [4,5,2,8,6,7,1,3]=>0101010=>[2,2,2,2] [4,5,2,8,6,7,3,1]=>0101011=>[2,2,2,1,1] [3,5,8,6,2,4,7,1]=>0011001=>[3,1,3,1] [2,5,1,6,4,8,3,7]=>0101010=>[2,2,2,2] [3,2,4,5,8,6,1,7]=>1000110=>[1,4,1,2] [4,5,2,1,3,8,6,7]=>0110010=>[2,1,3,2] [4,2,3,6,8,5,1,7]=>1000110=>[1,4,1,2] [4,5,1,3,2,8,6,7]=>0101010=>[2,2,2,2] [3,4,5,8,6,1,7,2]=>0001101=>[4,1,2,1] [3,4,5,8,6,1,2,7]=>0001100=>[4,1,3] [6,4,1,3,7,8,2,5]=>1100010=>[1,1,4,2] [6,3,1,2,5,4,8,7]=>1100101=>[1,1,3,2,1] [7,3,1,2,5,4,8,6]=>1100101=>[1,1,3,2,1] [8,2,6,4,1,3,7,5]=>1011001=>[1,2,1,3,1] [1,5,8,2,4,3,7,6]=>0010101=>[3,2,2,1] [4,3,7,8,2,6,5,1]=>1001011=>[1,3,2,1,1] [3,8,5,1,2,6,7,4]=>0110001=>[2,1,4,1] [2,4,7,8,3,6,5,1]=>0001011=>[4,2,1,1] [5,4,7,8,3,6,1,2]=>1001010=>[1,3,2,2] [6,8,1,3,2,5,7,4]=>0101001=>[2,2,3,1] [1,4,8,5,7,2,3,6]=>0010100=>[3,2,3] [1,8,7,3,2,4,5,6]=>0111000=>[2,1,1,4] [8,6,2,7,3,4,1,5]=>1101010=>[1,1,2,2,2] [8,6,2,7,3,4,5,1]=>1101001=>[1,1,2,3,1] [5,6,3,2,8,7,1,4]=>0110110=>[2,1,2,1,2] [5,1,6,7,8,3,2,4]=>1000110=>[1,4,1,2] [1,5,6,3,7,2,4,8]=>0010100=>[3,2,3] [1,5,6,7,4,2,3,8]=>0001100=>[4,1,3] [5,1,6,7,3,4,2,8]=>1001010=>[1,3,2,2] [8,6,1,7,3,4,5,2]=>1101001=>[1,1,2,3,1] [6,8,5,1,7,4,2,3]=>0110110=>[2,1,2,1,2] [8,4,2,3,5,7,6,1]=>1100011=>[1,1,4,1,1] [4,8,5,2,3,1,6,7]=>0110100=>[2,1,2,3] [5,4,8,3,1,2,6,7]=>1011000=>[1,2,1,4] [8,4,7,3,2,5,6,1]=>1011001=>[1,2,1,3,1] [6,8,5,1,7,3,4,2]=>0110101=>[2,1,2,2,1] [6,2,7,3,8,1,4,5]=>1010100=>[1,2,2,3] [8,4,2,6,7,1,5,3]=>1100101=>[1,1,3,2,1] [1,7,8,3,6,5,2,4]=>0010110=>[3,2,1,2] [4,6,7,5,1,8,2,3]=>0011010=>[3,1,2,2] [3,5,2,6,8,7,4,1]=>0100111=>[2,3,1,1,1] [7,3,6,8,4,1,2,5]=>1001100=>[1,3,1,3] [6,4,2,3,7,5,8,1]=>1100101=>[1,1,3,2,1] [6,3,7,5,1,2,8,4]=>1011001=>[1,2,1,3,1] [7,2,5,4,8,6,3,1]=>1010111=>[1,2,2,1,1,1] [6,2,3,8,7,4,5,1]=>1001101=>[1,3,1,2,1] [7,1,2,8,4,6,5,3]=>1001011=>[1,3,2,1,1] [3,5,8,1,2,7,6,4]=>0010011=>[3,3,1,1] [1,4,3,6,8,5,2,7]=>0100110=>[2,3,1,2] [7,6,2,8,5,3,4,1]=>1101101=>[1,1,2,1,2,1] [6,8,3,5,4,7,2,1]=>0101011=>[2,2,2,1,1] [8,2,7,6,4,1,3,5]=>1011100=>[1,2,1,1,3] [8,3,7,5,1,6,2,4]=>1011010=>[1,2,1,2,2] [8,5,7,1,4,2,6,3]=>1010101=>[1,2,2,2,1] [4,7,1,5,6,3,2,8]=>0100110=>[2,3,1,2] [4,5,7,1,6,3,8,2]=>0010101=>[3,2,2,1] [3,9,2,1,4,5,6,7,8]=>01100000=>[2,1,6] [4,6,5,7,2,3,8,1]=>0101001=>[2,2,3,1] [3,6,7,2,5,8,4,1]=>0010011=>[3,3,1,1] [5,3,6,7,4,8,1,2]=>1001010=>[1,3,2,2] [4,2,7,8,3,6,5,1]=>1001011=>[1,3,2,1,1] [4,2,7,8,5,6,1,3]=>1001010=>[1,3,2,2] [5,4,3,7,8,1,6,2]=>1100101=>[1,1,3,2,1] [3,5,7,8,4,2,1,6]=>0001110=>[4,1,1,2] [4,6,7,3,2,8,1,5]=>0011010=>[3,1,2,2] [4,6,5,3,7,8,1,2]=>0110010=>[2,1,3,2] [5,6,2,4,7,8,3,1]=>0100011=>[2,4,1,1] [5,6,3,2,8,4,7,1]=>0110101=>[2,1,2,2,1] [5,6,2,8,3,4,7,1]=>0101001=>[2,2,3,1] [3,7,4,8,1,6,5,2]=>0101011=>[2,2,2,1,1] [5,2,4,8,6,7,3,1]=>1001011=>[1,3,2,1,1] [5,2,6,4,8,7,3,1]=>1010111=>[1,2,2,1,1,1] [2,4,7,8,6,5,1,3]=>0001110=>[4,1,1,2] [3,4,5,6,8,9,1,7,2]=>00000101=>[6,2,1] [3,4,6,7,8,9,1,5,2]=>00000101=>[6,2,1] [3,5,6,7,8,9,1,4,2]=>00000101=>[6,2,1] [4,5,6,7,8,9,1,3,2]=>00000101=>[6,2,1] [3,4,5,6,7,9,10,1,8,2]=>000000101=>[7,2,1] [3,4,5,7,8,9,10,1,6,2]=>000000101=>[7,2,1] [5,2,6,7,8,1,4,3]=>1000101=>[1,4,2,1] [3,4,6,7,8,9,10,1,5,2]=>000000101=>[7,2,1] [4,5,6,7,8,9,10,1,3,2]=>000000101=>[7,2,1] [3,1,4,5,6,7,8,9,11,2,10]=>1000000010=>[1,8,2] [4,8,2,7,5,3,1,6]=>0101110=>[2,2,1,1,2] [1,2,4,6,5,8,3,7]=>0001010=>[4,2,2] [5,4,2,3,1,7,8,6]=>1101001=>[1,1,2,3,1] [3,5,8,1,7,4,2,6]=>0010110=>[3,2,1,2] [5,8,6,1,7,2,3,4]=>0110100=>[2,1,2,3] [5,1,4,3,8,2,6,7]=>1010100=>[1,2,2,3] [8,4,7,5,6,2,1,3]=>1010110=>[1,2,2,1,2] [3,8,6,7,5,2,4,1]=>0101101=>[2,2,1,2,1] [8,2,5,4,7,3,6,1]=>1010101=>[1,2,2,2,1] [4,2,8,7,3,6,5,1]=>1011011=>[1,2,1,2,1,1] [3,7,8,6,1,4,5,2]=>0011001=>[3,1,3,1] [4,6,7,8,2,1,5,3]=>0001101=>[4,1,2,1] [4,7,6,3,8,1,5,2]=>0110101=>[2,1,2,2,1] [3,8,1,4,6,2,5,7]=>0100100=>[2,3,3] [2,4,5,3,8,7,1,6]=>0010110=>[3,2,1,2] [4,7,5,6,2,8,1,3]=>0101010=>[2,2,2,2] [8,7,5,1,6,3,2,4]=>1110110=>[1,1,1,2,1,2] [7,8,6,2,3,5,1,4]=>0110010=>[2,1,3,2] [2,8,4,6,7,3,5,1]=>0100101=>[2,3,2,1] [4,1,6,7,8,2,5,3]=>1000101=>[1,4,2,1] [8,6,3,4,1,2,7,5]=>1101001=>[1,1,2,3,1] [2,5,8,4,6,1,3,7]=>0010100=>[3,2,3] [4,7,8,6,5,1,3,2]=>0011101=>[3,1,1,2,1] [8,4,6,7,3,5,2,1]=>1001011=>[1,3,2,1,1] [6,8,4,7,3,5,2,1]=>0101011=>[2,2,2,1,1] [7,4,5,8,3,6,2,1]=>1001011=>[1,3,2,1,1] [8,4,7,3,5,6,2,1]=>1010011=>[1,2,3,1,1] [3,6,4,2,8,1,7,5]=>0110101=>[2,1,2,2,1] [8,4,6,2,1,7,3,5]=>1011010=>[1,2,1,2,2] [3,8,6,2,1,7,4,5]=>0111010=>[2,1,1,2,2] [3,1,8,2,4,6,5,7]=>1010010=>[1,2,3,2] [8,1,7,6,2,5,4,3]=>1011011=>[1,2,1,2,1,1] [8,5,4,3,7,6,1,2]=>1110110=>[1,1,1,2,1,2] [4,8,1,3,6,7,5,2]=>0100011=>[2,4,1,1] [3,5,8,6,1,7,4,2]=>0011011=>[3,1,2,1,1] [8,1,4,7,5,2,6,3]=>1001101=>[1,3,1,2,1] [1,4,8,6,7,3,5,2]=>0010101=>[3,2,2,1] [4,1,6,7,8,5,3,2]=>1000111=>[1,4,1,1,1] [3,7,8,6,4,1,5,2]=>0011101=>[3,1,1,2,1] [5,4,2,3,6,7,8,9,1]=>11000001=>[1,1,6,1] [6,5,4,2,3,7,8,9,1]=>11100001=>[1,1,1,5,1] [7,6,5,4,2,3,8,9,1]=>11110001=>[1,1,1,1,4,1] [4,6,1,5,7,2,3,8]=>0100100=>[2,3,3] [4,8,5,3,2,7,1,6]=>0111010=>[2,1,1,2,2] [5,4,8,1,3,7,2,6]=>1010010=>[1,2,3,2] [8,4,5,3,1,7,2,6]=>1011010=>[1,2,1,2,2] [7,4,5,3,1,8,6,2]=>1011011=>[1,2,1,2,1,1] [5,6,8,7,2,4,3,1]=>0011011=>[3,1,2,1,1] [5,7,8,6,4,2,3,1]=>0011101=>[3,1,1,2,1] [6,8,7,5,1,3,2,4]=>0111010=>[2,1,1,2,2] [3,8,2,6,7,5,1,4]=>0100110=>[2,3,1,2] [4,7,6,3,8,2,5,1]=>0110101=>[2,1,2,2,1] [6,7,4,1,8,2,5,3]=>0110101=>[2,1,2,2,1] [5,7,6,8,3,2,4,1]=>0101101=>[2,2,1,2,1] [7,6,4,2,8,1,5,3]=>1110101=>[1,1,1,2,2,1] [6,3,4,8,7,1,2,5]=>1001100=>[1,3,1,3] [2,7,4,8,1,6,3,5]=>0101010=>[2,2,2,2] [5,3,1,6,7,8,2,4]=>1100010=>[1,1,4,2] [3,4,7,8,6,1,2,5]=>0001100=>[4,1,3] [2,1,4,7,8,6,3,5]=>1000110=>[1,4,1,2] [2,4,5,8,1,6,3,7]=>0001010=>[4,2,2] [3,4,6,8,2,5,7,1]=>0001001=>[4,3,1] [1,8,5,6,4,2,3,7]=>0101100=>[2,2,1,3] [1,8,7,6,2,4,5,3]=>0111001=>[2,1,1,3,1] [6,4,8,5,7,3,1,2]=>1010110=>[1,2,2,1,2] [1,6,4,7,2,5,8,3]=>0101001=>[2,2,3,1] [2,7,5,1,8,6,3,4]=>0110110=>[2,1,2,1,2] [4,7,1,6,5,3,8,2]=>0101101=>[2,2,1,2,1] [1,7,5,6,4,8,2,3]=>0101010=>[2,2,2,2] [2,4,8,5,7,3,1,6]=>0010110=>[3,2,1,2] [8,3,1,4,6,2,7,5]=>1100101=>[1,1,3,2,1] [7,2,6,4,5,8,1,3]=>1010010=>[1,2,3,2] [7,2,5,4,6,8,1,3]=>1010010=>[1,2,3,2] [4,6,7,8,9,1,2,3,5]=>00001000=>[5,4] [5,7,8,9,1,2,3,4,6]=>00010000=>[4,5] [6,4,5,7,3,8,2,9,1,10]=>100101010=>[1,3,2,2,2] [2,7,1,5,3,8,6,4]=>0101011=>[2,2,2,1,1] [3,5,7,2,8,4,1,6]=>0010110=>[3,2,1,2] [2,4,3,8,5,1,7,6]=>0101101=>[2,2,1,2,1] [7,3,2,1,4,8,6,5]=>1110011=>[1,1,1,3,1,1] [2,8,3,4,1,7,6,5]=>0101011=>[2,2,2,1,1] [4,7,6,8,2,5,3,1]=>0101011=>[2,2,2,1,1] [2,6,7,1,4,5,8,3]=>0010001=>[3,4,1] [8,7,2,6,1,5,3,4]=>1101010=>[1,1,2,2,2] [7,1,3,8,2,6,4,5]=>1001010=>[1,3,2,2] [6,2,5,3,4,7,1,8]=>1010010=>[1,2,3,2] [2,7,3,4,1,5,8,6]=>0101001=>[2,2,3,1] [2,5,8,1,6,7,3,4]=>0010010=>[3,3,2] [6,2,8,3,4,5,1,7]=>1010010=>[1,2,3,2] [7,3,4,6,8,2,1,5]=>1000110=>[1,4,1,2] [5,1,3,7,2,8,4,6]=>1001010=>[1,3,2,2] [5,2,4,6,1,7,8,3]=>1001001=>[1,3,3,1] [3,8,4,6,1,5,7,2]=>0101001=>[2,2,3,1] [8,7,3,2,5,1,6,4]=>1110101=>[1,1,1,2,2,1] [3,6,4,1,2,5,8,7]=>0110001=>[2,1,4,1] [5,2,7,1,4,3,6,8]=>1010100=>[1,2,2,3] [6,3,1,4,2,5,8,7]=>1101001=>[1,1,2,3,1] [5,2,3,1,4,6,8,7]=>1010001=>[1,2,4,1] [4,2,7,1,3,5,8,6]=>1010001=>[1,2,4,1] [3,5,4,1,6,2,8,7]=>0110101=>[2,1,2,2,1] [4,5,7,2,8,3,1,6]=>0010110=>[3,2,1,2] [3,5,1,7,6,2,8,4]=>0101101=>[2,2,1,2,1] [8,3,6,2,7,5,4,1]=>1010111=>[1,2,2,1,1,1] [8,4,2,6,5,3,7,1]=>1101101=>[1,1,2,1,2,1] [5,4,2,7,1,8,6,3]=>1101011=>[1,1,2,2,1,1] [4,1,7,6,5,3,2,8]=>1011110=>[1,2,1,1,1,2] [2,3,6,7,1,8,5,4]=>0001011=>[4,2,1,1] [3,6,1,2,7,8,5,4]=>0100011=>[2,4,1,1] [4,5,1,8,7,6,3,2]=>0101111=>[2,2,1,1,1,1] [8,4,5,2,7,6,3,1]=>1010111=>[1,2,2,1,1,1] [4,1,3,6,7,5,2,8]=>1000110=>[1,4,1,2] [3,1,4,5,7,6,2,8]=>1000110=>[1,4,1,2] [4,5,1,3,6,8,7,2]=>0100011=>[2,4,1,1] [3,8,5,1,2,4,6,7]=>0110000=>[2,1,5] [8,5,1,2,4,3,6,7]=>1100100=>[1,1,3,3] [5,8,4,1,2,3,6,7]=>0110000=>[2,1,5] [3,5,8,1,4,2,7,6]=>0010101=>[3,2,2,1] [2,8,5,7,1,4,3,6]=>0101010=>[2,2,2,2] [4,8,7,5,1,2,3,6]=>0111000=>[2,1,1,4] [8,1,2,4,6,3,7,5]=>1000101=>[1,4,2,1] [7,6,1,4,2,3,8,5]=>1101001=>[1,1,2,3,1] [6,1,2,7,8,4,3,5]=>1000110=>[1,4,1,2] [7,8,1,2,5,3,4,6]=>0100100=>[2,3,3] [1,8,4,7,5,2,3,6]=>0101100=>[2,2,1,3] [8,4,7,2,1,6,3,5]=>1011010=>[1,2,1,2,2] [4,5,8,2,1,6,7,3]=>0011001=>[3,1,3,1] [7,4,2,5,3,6,1,8]=>1101010=>[1,1,2,2,2] [3,1,6,7,5,2,4,8]=>1001100=>[1,3,1,3] [8,4,2,5,3,6,7,1]=>1101001=>[1,1,2,3,1] [4,8,1,5,3,6,7,2]=>0101001=>[2,2,3,1] [4,1,7,5,2,6,3,8]=>1011010=>[1,2,1,2,2] [5,1,4,6,3,7,8,2]=>1001001=>[1,3,3,1] [7,1,5,3,6,8,2,4]=>1010010=>[1,2,3,2] [8,1,5,3,6,7,2,4]=>1010010=>[1,2,3,2] [3,6,5,2,4,7,8,1]=>0110001=>[2,1,4,1] [1,7,5,4,6,8,2,3]=>0110010=>[2,1,3,2] [4,7,8,2,5,6,1,3]=>0010010=>[3,3,2] [2,8,5,4,6,7,1,3]=>0110010=>[2,1,3,2] [7,5,1,3,2,6,4,8,9]=>11010100=>[1,1,2,2,3] [9,6,1,3,4,2,7,8,5]=>11001001=>[1,1,3,3,1] [8,3,6,1,4,2,7,5,9]=>10101010=>[1,2,2,2,2] [9,8,1,7,2,3,4,5,6]=>11010000=>[1,1,2,5] [9,3,4,7,1,5,2,8,6]=>10010101=>[1,3,2,2,1] [7,5,1,3,2,6,4,8,9,10]=>110101000=>[1,1,2,2,4] [9,6,1,3,4,2,7,8,5,10]=>110010010=>[1,1,3,3,2] [8,3,6,1,4,2,7,5,9,10]=>101010100=>[1,2,2,2,3] [10,1,8,3,2,5,7,4,9,6]=>101100101=>[1,2,1,3,2,1] [10,3,7,1,4,5,2,8,9,6]=>101001001=>[1,2,3,3,1] [9,3,4,7,1,5,2,8,6,10]=>100101010=>[1,3,2,2,2] [7,10,1,3,8,2,6,5,9,4]=>010010101=>[2,3,2,2,1] [10,9,5,1,8,2,4,3,6,7]=>111010100=>[1,1,1,2,2,3] [10,3,4,5,8,1,6,2,9,7]=>100010101=>[1,4,2,2,1] [4,5,2,6,1,8,3,7]=>0101010=>[2,2,2,2] [5,1,8,6,7,3,4,2]=>1010101=>[1,2,2,2,1] [6,8,3,2,4,1,5,7]=>0110100=>[2,1,2,3] [5,4,8,2,1,3,6,7]=>1011000=>[1,2,1,4] [1,4,8,3,2,6,5,7]=>0011010=>[3,1,2,2] [1,3,8,4,2,7,5,6]=>0011010=>[3,1,2,2] [7,2,8,3,1,4,5,6]=>1011000=>[1,2,1,4] [8,1,3,2,7,5,4,6]=>1010110=>[1,2,2,1,2] [9,8,7,5,6,4,3,2,10,1]=>111011101=>[1,1,1,2,1,1,2,1] [8,7,5,4,6,3,2,9,1]=>11101101=>[1,1,1,2,1,2,1] [8,7,4,6,5,3,2,9,1]=>11011101=>[1,1,2,1,1,2,1] [2,3,4,7,8,9,6,5,1]=>00000111=>[6,1,1,1] [2,3,6,7,8,9,5,4,1]=>00000111=>[6,1,1,1] [2,5,6,7,8,9,4,3,1]=>00000111=>[6,1,1,1] [2,3,4,5,6,1,9,8,7]=>00001011=>[5,2,1,1] [2,3,4,5,1,9,8,7,6]=>00010111=>[4,2,1,1,1] [2,3,4,5,6,9,10,8,7,1]=>000000111=>[7,1,1,1] [2,3,4,1,8,9,7,6,5]=>00100111=>[3,3,1,1,1] [2,3,4,5,8,9,10,7,6,1]=>000000111=>[7,1,1,1] [2,3,1,7,8,9,6,5,4]=>01000111=>[2,4,1,1,1] [2,3,4,7,8,9,10,6,5,1]=>000000111=>[7,1,1,1] [2,1,6,7,8,9,5,4,3]=>10000111=>[1,5,1,1,1] [2,3,6,7,8,9,10,5,4,1]=>000000111=>[7,1,1,1] [2,5,6,7,8,9,10,4,3,1]=>000000111=>[7,1,1,1] [9,10,2,4,6,8,1,3,5,7]=>010001000=>[2,4,4] [7,8,2,4,6,10,1,3,5,9]=>010001000=>[2,4,4] [9,7,10,2,4,6,8,1,3,5]=>101000100=>[1,2,4,3] [8,9,10,7,2,4,6,1,3,5]=>001100100=>[3,1,3,3] [5,6,2,4,8,10,1,3,7,9]=>010001000=>[2,4,4] [5,6,9,10,2,4,8,1,3,7]=>000100100=>[4,3,3] [7,5,8,2,4,6,10,1,3,9]=>101000100=>[1,2,4,3] [7,9,5,10,2,4,6,8,1,3]=>010100010=>[2,2,4,2] [5,8,9,10,7,2,4,6,1,3]=>000110010=>[4,1,3,2] [6,7,8,5,2,4,10,1,3,9]=>001100100=>[3,1,3,3] [9,6,7,5,10,2,4,8,1,3]=>101010010=>[1,2,2,3,2] [8,9,6,10,5,7,2,4,1,3]=>010101010=>[2,2,2,2,2] [7,8,9,10,6,5,2,4,1,3]=>000111010=>[4,1,1,2,2] [3,4,2,6,8,10,1,5,7,9]=>010001000=>[2,4,4] [3,4,9,10,2,6,8,1,5,7]=>000100100=>[4,3,3] [3,4,7,8,2,6,10,1,5,9]=>000100100=>[4,3,3] [9,3,4,7,10,2,6,8,1,5]=>100010010=>[1,4,3,2] [8,9,10,3,4,7,2,6,1,5]=>001001010=>[3,3,2,2] [5,3,6,2,4,8,10,1,7,9]=>101000100=>[1,2,4,3] [5,3,6,9,10,2,4,8,1,7]=>100010010=>[1,4,3,2] [5,7,3,8,2,4,6,10,1,9]=>010100010=>[2,2,4,2] [5,7,9,3,10,2,4,6,8,1]=>001010001=>[3,2,4,1] [8,5,9,10,3,7,2,4,6,1]=>100101001=>[1,3,2,3,1] [3,6,7,8,5,2,4,10,1,9]=>000110010=>[4,1,3,2] [9,3,6,7,5,10,2,4,8,1]=>100101001=>[1,3,2,3,1] [6,8,3,9,10,5,7,2,4,1]=>010010101=>[2,3,2,2,1] [7,8,9,10,3,6,5,2,4,1]=>000101101=>[4,2,1,2,1] [4,5,6,3,2,8,10,1,7,9]=>001100100=>[3,1,3,3] [4,5,6,3,9,10,2,8,1,7]=>001001010=>[3,3,2,2] [7,4,5,3,8,2,6,10,1,9]=>101010010=>[1,2,2,3,2] [7,4,5,9,3,10,2,6,8,1]=>100101001=>[1,3,2,3,1] [4,8,5,9,10,3,7,2,6,1]=>010010101=>[2,3,2,2,1] [6,7,4,8,3,5,2,10,1,9]=>010101010=>[2,2,2,2,2] [6,7,9,4,3,5,10,2,8,1]=>001100101=>[3,1,3,2,1] [8,6,9,4,10,3,5,7,2,1]=>101010011=>[1,2,2,3,1,1] [7,4,8,9,10,6,3,5,2,1]=>100011011=>[1,4,1,2,1,1] [5,6,7,8,4,3,2,10,1,9]=>000111010=>[4,1,1,2,2] [9,5,6,7,4,3,10,2,8,1]=>100110101=>[1,3,1,2,2,1] [8,9,5,6,4,10,3,7,2,1]=>010101011=>[2,2,2,2,1,1] [7,8,9,5,10,4,6,3,2,1]=>001010111=>[3,2,2,1,1,1] [11,12,2,4,6,8,10,1,3,5,7,9]=>01000010000=>[2,5,5] [9,10,2,4,6,8,12,1,3,5,7,11]=>01000010000=>[2,5,5] [11,9,12,2,4,6,8,10,1,3,5,7]=>10100001000=>[1,2,5,4] [7,8,2,4,6,10,12,1,3,5,9,11]=>01000010000=>[2,5,5] [7,8,11,12,2,4,6,10,1,3,5,9]=>00010001000=>[4,4,4] [9,7,10,2,4,6,8,12,1,3,5,11]=>10100001000=>[1,2,5,4] [9,11,7,12,2,4,6,8,10,1,3,5]=>01010000100=>[2,2,5,3] [11,8,9,7,12,2,4,6,10,1,3,5]=>10101000100=>[1,2,2,4,3] [10,11,8,12,7,9,2,4,6,1,3,5]=>01010100100=>[2,2,2,3,3] [5,6,2,4,8,10,12,1,3,7,9,11]=>01000010000=>[2,5,5] [5,6,11,12,2,4,8,10,1,3,7,9]=>00010001000=>[4,4,4] [5,6,9,10,2,4,8,12,1,3,7,11]=>00010001000=>[4,4,4] [11,5,6,9,12,2,4,8,10,1,3,7]=>10001000100=>[1,4,4,3] [10,11,12,5,6,9,2,4,8,1,3,7]=>00100100100=>[3,3,3,3] [7,5,8,2,4,6,10,12,1,3,9,11]=>10100001000=>[1,2,5,4] [7,5,8,11,12,2,4,6,10,1,3,9]=>10001000100=>[1,4,4,3] [7,9,5,10,2,4,6,8,12,1,3,11]=>01010000100=>[2,2,5,3] [7,9,11,5,12,2,4,6,8,10,1,3]=>00101000010=>[3,2,5,2] [10,7,11,12,5,9,2,4,6,8,1,3]=>10010100010=>[1,3,2,4,2] [11,5,8,9,7,12,2,4,6,10,1,3]=>10010100010=>[1,3,2,4,2] [8,10,5,11,12,7,9,2,4,6,1,3]=>01001010010=>[2,3,2,3,2] [6,7,8,5,11,12,2,4,10,1,3,9]=>00100100100=>[3,3,3,3] [9,6,7,5,10,2,4,8,12,1,3,11]=>10101000100=>[1,2,2,4,3] [9,6,7,11,5,12,2,4,8,10,1,3]=>10010100010=>[1,3,2,4,2] [6,10,7,11,12,5,9,2,4,8,1,3]=>01001010010=>[2,3,2,3,2] [8,9,6,10,5,7,2,4,12,1,3,11]=>01010100100=>[2,2,2,3,3] [10,8,11,6,12,5,7,9,2,4,1,3]=>10101001010=>[1,2,2,3,2,2] [10,11,7,8,6,12,5,9,2,4,1,3]=>01010101010=>[2,2,2,2,2,2] [3,4,2,6,8,10,12,1,5,7,9,11]=>01000010000=>[2,5,5] [3,4,11,12,2,6,8,10,1,5,7,9]=>00010001000=>[4,4,4] [3,4,9,10,2,6,8,12,1,5,7,11]=>00010001000=>[4,4,4] [11,3,4,9,12,2,6,8,10,1,5,7]=>10001000100=>[1,4,4,3] [10,11,12,3,4,9,2,6,8,1,5,7]=>00100100100=>[3,3,3,3] [3,4,7,8,2,6,10,12,1,5,9,11]=>00010001000=>[4,4,4] [9,3,4,7,10,2,6,8,12,1,5,11]=>10001000100=>[1,4,4,3] [9,11,3,4,7,12,2,6,8,10,1,5]=>01000100010=>[2,4,4,2] [3,10,11,12,4,7,9,2,6,8,1,5]=>00010010010=>[4,3,3,2] [8,9,10,3,4,7,2,6,12,1,5,11]=>00100100100=>[3,3,3,3] [11,8,9,3,4,7,12,2,6,10,1,5]=>10100010010=>[1,2,4,3,2] [10,11,8,12,3,4,7,9,2,6,1,5]=>01010001010=>[2,2,4,2,2] [5,3,6,2,4,8,10,12,1,7,9,11]=>10100001000=>[1,2,5,4] [5,3,6,11,12,2,4,8,10,1,7,9]=>10001000100=>[1,4,4,3] [5,3,6,9,10,2,4,8,12,1,7,11]=>10001000100=>[1,4,4,3] [5,11,3,6,9,12,2,4,8,10,1,7]=>01000100010=>[2,4,4,2] [5,10,11,12,3,6,9,2,4,8,1,7]=>00010010010=>[4,3,3,2] [5,7,3,8,2,4,6,10,12,1,9,11]=>01010000100=>[2,2,5,3] [5,7,3,8,11,12,2,4,6,10,1,9]=>01000100010=>[2,4,4,2] [5,7,9,3,10,2,4,6,8,12,1,11]=>00101000010=>[3,2,5,2] [5,7,9,11,3,12,2,4,6,8,10,1]=>00010100001=>[4,2,5,1] [10,5,7,11,12,3,9,2,4,6,8,1]=>10001010001=>[1,4,2,4,1] [8,5,9,10,3,7,2,4,6,12,1,11]=>10010100010=>[1,3,2,4,2] [8,11,5,9,3,7,12,2,4,6,10,1]=>01010010001=>[2,2,3,4,1] [8,10,11,5,12,3,7,9,2,4,6,1]=>00101001001=>[3,2,3,3,1] [3,6,7,8,5,11,12,2,4,10,1,9]=>00010010010=>[4,3,3,2] [9,3,6,7,5,10,2,4,8,12,1,11]=>10010100010=>[1,3,2,4,2] [9,3,6,7,11,5,12,2,4,8,10,1]=>10001010001=>[1,4,2,4,1] [6,10,3,7,11,12,5,9,2,4,8,1]=>01000101001=>[2,4,2,3,1] [6,8,3,9,10,5,7,2,4,12,1,11]=>01001010010=>[2,3,2,3,2] [6,8,9,3,11,5,7,12,2,4,10,1]=>00101001001=>[3,2,3,3,1] [10,6,8,3,11,12,5,7,9,2,4,1]=>10100100101=>[1,2,3,3,2,1] [9,6,10,11,12,3,8,5,7,2,4,1]=>10001010101=>[1,4,2,2,2,1] [11,7,8,9,3,6,5,12,2,4,10,1]=>10010101001=>[1,3,2,2,3,1] [10,11,7,8,3,6,12,5,9,2,4,1]=>01010010101=>[2,2,3,2,2,1] [4,5,6,3,11,12,2,8,10,1,7,9]=>00100100100=>[3,3,3,3] [4,5,6,3,9,10,2,8,12,1,7,11]=>00100100100=>[3,3,3,3] [4,5,6,11,3,9,12,2,8,10,1,7]=>00010010010=>[4,3,3,2] [7,4,5,3,8,2,6,10,12,1,9,11]=>10101000100=>[1,2,2,4,3] [7,4,5,3,8,11,12,2,6,10,1,9]=>10100010010=>[1,2,4,3,2] [7,4,5,9,3,10,2,6,8,12,1,11]=>10010100010=>[1,3,2,4,2] [7,4,5,9,11,3,12,2,6,8,10,1]=>10001010001=>[1,4,2,4,1] [7,10,4,5,11,12,3,9,2,6,8,1]=>01000101001=>[2,4,2,3,1] [4,8,5,9,10,3,7,2,6,12,1,11]=>01001010010=>[2,3,2,3,2] [4,8,11,5,9,3,7,12,2,6,10,1]=>00101001001=>[3,2,3,3,1] [4,8,10,11,5,12,3,7,9,2,6,1]=>00010100101=>[4,2,3,2,1] [6,7,4,8,3,5,2,10,12,1,9,11]=>01010100100=>[2,2,2,3,3] [6,7,4,8,3,5,11,12,2,10,1,9]=>01010001010=>[2,2,4,2,2] [6,7,9,4,11,3,5,12,2,8,10,1]=>00101001001=>[3,2,3,3,1] [10,6,7,4,11,12,3,5,9,2,8,1]=>10100100101=>[1,2,3,3,2,1] [8,6,9,4,10,3,5,7,2,12,1,11]=>10101001010=>[1,2,2,3,2,2] [7,8,10,4,11,6,12,3,5,9,2,1]=>00101010011=>[3,2,2,3,1,1] [4,8,9,10,11,12,7,6,3,5,2,1]=>00000111011=>[6,1,1,2,1,1] [9,5,6,7,4,11,3,12,2,8,10,1]=>10010101001=>[1,3,2,2,3,1] [5,10,6,7,4,11,12,3,9,2,8,1]=>01010010101=>[2,2,3,2,2,1] [8,9,5,6,4,10,3,7,2,12,1,11]=>01010101010=>[2,2,2,2,2,2] [7,8,9,11,5,4,6,3,12,2,10,1]=>00011010101=>[4,1,2,2,2,1] [9,10,7,11,5,12,4,6,8,3,2,1]=>01010100111=>[2,2,2,3,1,1,1] [9,10,11,6,7,5,12,4,8,3,2,1]=>00101010111=>[3,2,2,2,1,1,1] [7,6,1,8,2,5,4,3]=>1101011=>[1,1,2,2,1,1] [8,4,1,6,7,3,5,2]=>1100101=>[1,1,3,2,1] [5,8,4,2,1,6,3,7]=>0111010=>[2,1,1,2,2] [7,6,4,1,2,5,3,8]=>1110010=>[1,1,1,3,2] [5,4,2,8,1,6,3,7]=>1101010=>[1,1,2,2,2] [8,7,2,6,4,5,3,1]=>1101011=>[1,1,2,2,1,1] [7,2,8,4,3,6,1,5]=>1011010=>[1,2,1,2,2] [1,7,5,4,8,6,2,3]=>0110110=>[2,1,2,1,2] [4,8,6,3,5,2,1,7]=>0110110=>[2,1,2,1,2] [5,8,6,3,2,7,1,4]=>0111010=>[2,1,1,2,2] [5,7,6,3,2,4,8,1]=>0111001=>[2,1,1,3,1] [5,7,3,2,8,6,4,1]=>0110111=>[2,1,2,1,1,1] [4,5,1,6,8,2,7,3]=>0100101=>[2,3,2,1] [1,2,4,5,6,8,10,9,3,7]=>000000110=>[7,1,2] [1,2,3,5,7,8,10,6,9,4]=>000000101=>[7,2,1] [1,2,4,5,7,8,10,3,9,6]=>000000101=>[7,2,1] [1,2,4,6,7,5,10,8,3,9]=>000010110=>[5,2,1,2] [1,3,4,2,7,8,10,5,9,6]=>001000101=>[3,4,2,1] [1,3,4,6,7,2,10,8,5,9]=>000010110=>[5,2,1,2] [1,2,3,5,6,9,8,10,7,4]=>000001011=>[6,2,1,1] [1,2,4,5,6,9,8,10,3,7]=>000001010=>[6,2,2] [1,2,3,5,7,9,6,10,8,4]=>000001011=>[6,2,1,1] [1,2,4,5,7,9,3,10,8,6]=>000001011=>[6,2,1,1] [1,2,4,6,5,9,7,10,3,8]=>000101010=>[4,2,2,2] [1,3,4,2,7,9,5,10,8,6]=>001001011=>[3,3,2,1,1] [1,3,4,6,2,9,7,10,5,8]=>000101010=>[4,2,2,2] [1,2,3,5,8,7,9,6,10,4]=>000010101=>[5,2,2,1] [1,2,4,5,8,7,9,3,10,6]=>000010101=>[5,2,2,1] [1,2,4,6,8,5,9,3,10,7]=>000010101=>[5,2,2,1] [1,2,4,7,6,8,5,9,3,10]=>000101010=>[4,2,2,2] [1,3,4,2,8,7,9,5,10,6]=>001010101=>[3,2,2,2,1] [1,3,4,6,8,2,9,5,10,7]=>000010101=>[5,2,2,1] [1,3,4,7,6,8,2,9,5,10]=>000101010=>[4,2,2,2] [1,2,3,6,5,9,7,10,8,4]=>000101011=>[4,2,2,1,1] [1,2,4,6,3,9,7,10,8,5]=>000101011=>[4,2,2,1,1] [1,2,5,4,6,9,7,10,3,8]=>001001010=>[3,3,2,2] [1,3,2,6,4,9,7,10,8,5]=>010101011=>[2,2,2,2,1,1] [1,3,5,2,6,9,7,10,4,8]=>001001010=>[3,3,2,2] [1,2,3,6,8,5,9,7,10,4]=>000010101=>[5,2,2,1] [1,2,4,6,8,3,9,7,10,5]=>000010101=>[5,2,2,1] [1,2,5,4,8,6,9,3,10,7]=>001010101=>[3,2,2,2,1] [1,2,5,7,4,8,6,9,3,10]=>000101010=>[4,2,2,2] [1,3,2,6,8,4,9,7,10,5]=>010010101=>[2,3,2,2,1] [1,3,5,2,8,6,9,4,10,7]=>001010101=>[3,2,2,2,1] [1,3,5,7,2,8,6,9,4,10]=>000101010=>[4,2,2,2] [1,4,3,5,8,2,9,6,10,7]=>010010101=>[2,3,2,2,1] [1,4,3,7,5,8,2,9,6,10]=>010101010=>[2,2,2,2,2] [2,1,3,6,4,9,7,10,8,5]=>100101011=>[1,3,2,2,1,1] [2,1,5,3,6,9,7,10,4,8]=>101001010=>[1,2,3,2,2] [2,1,3,6,8,4,9,7,10,5]=>100010101=>[1,4,2,2,1] [2,1,5,3,8,6,9,4,10,7]=>101010101=>[1,2,2,2,2,1] [2,1,5,7,3,8,6,9,4,10]=>100101010=>[1,3,2,2,2] [2,4,1,5,8,3,9,6,10,7]=>010010101=>[2,3,2,2,1] [2,4,1,7,5,8,3,9,6,10]=>010101010=>[2,2,2,2,2] [1,6,3,7,2,4,8,5]=>0101001=>[2,2,3,1] [8,9,7,6,5,4,3,1,2]=>01111110=>[2,1,1,1,1,1,2] [8,6,7,5,4,3,2,1,9]=>10111110=>[1,2,1,1,1,1,2] [8,7,9,6,5,4,3,1,2]=>10111110=>[1,2,1,1,1,1,2] [9,7,8,6,5,4,3,1,2]=>10111110=>[1,2,1,1,1,1,2] [4,3,7,1,6,2,5,8]=>1010100=>[1,2,2,3] [4,3,1,6,7,2,5,8]=>1100100=>[1,1,3,3] [6,3,1,5,7,2,4,8]=>1100100=>[1,1,3,3] [8,7,5,4,3,6,9,2,1]=>11110011=>[1,1,1,1,3,1,1] [8,7,6,9,5,3,4,2,1]=>11011011=>[1,1,2,1,2,1,1] [8,7,9,6,5,4,2,3,1]=>10111101=>[1,2,1,1,1,2,1] [5,2,1,4,8,6,7,3]=>1100101=>[1,1,3,2,1] [4,5,2,1,3,7,6,8]=>0110010=>[2,1,3,2] [8,2,7,4,1,6,5,3]=>1011011=>[1,2,1,2,1,1] [3,2,8,4,1,6,5,7]=>1011010=>[1,2,1,2,2] [3,7,6,4,1,5,8,2]=>0111001=>[2,1,1,3,1] [7,1,8,4,2,3,6,5]=>1011001=>[1,2,1,3,1] [2,7,6,4,5,1,8,3]=>0110101=>[2,1,2,2,1] [4,6,8,1,7,3,5,2]=>0010101=>[3,2,2,1] [3,6,8,1,5,7,4,2]=>0010011=>[3,3,1,1] [2,8,3,1,6,7,4,5]=>0110010=>[2,1,3,2] [4,5,6,8,2,1,7,3]=>0001101=>[4,1,2,1] [4,5,6,8,1,3,7,2]=>0001001=>[4,3,1] [4,5,8,3,2,1,7,6]=>0011101=>[3,1,1,2,1] [4,5,1,3,2,6,7,8]=>0101000=>[2,2,4] [4,7,3,2,1,6,5,8]=>0111010=>[2,1,1,2,2] [4,7,8,3,5,1,6,2]=>0010101=>[3,2,2,1] [4,7,1,3,5,6,2,8]=>0100010=>[2,4,2] [4,8,3,2,1,6,7,5]=>0111001=>[2,1,1,3,1] [5,2,8,1,4,6,7,3]=>1010001=>[1,2,4,1] [5,6,3,7,8,1,4,2]=>0100101=>[2,3,2,1] [5,7,1,4,3,6,2,8]=>0101010=>[2,2,2,2] [6,2,3,7,1,5,4,8]=>1001010=>[1,3,2,2] [6,2,8,1,5,4,7,3]=>1010101=>[1,2,2,2,1] [6,1,3,4,5,2,7,8]=>1000100=>[1,4,3] [7,1,3,4,5,6,2,8]=>1000010=>[1,5,2] [7,2,5,1,3,6,4,8]=>1010010=>[1,2,3,2] [6,5,2,7,8,4,3,1]=>1100111=>[1,1,3,1,1,1] [7,5,3,6,4,2,1,8]=>1101110=>[1,1,2,1,1,2] [1,3,6,7,5,2,4,8]=>0001100=>[4,1,3] [1,5,2,6,8,7,3,4]=>0100110=>[2,3,1,2] [3,2,1,5,6,7,8,9,4]=>11000001=>[1,1,6,1] [3,2,6,1,4,7,8,9,5]=>10100001=>[1,2,5,1] [4,3,2,1,6,7,8,9,5]=>11100001=>[1,1,1,5,1] [3,2,7,8,1,4,5,9,6]=>10010001=>[1,3,4,1] [4,7,2,5,1,3,8,9,6]=>01010001=>[2,2,4,1] [4,3,2,7,1,5,8,9,6]=>11010001=>[1,1,2,4,1] [5,4,3,2,1,7,8,9,6]=>11110001=>[1,1,1,1,4,1] [4,3,2,8,9,1,5,6,7]=>11001000=>[1,1,3,4] [8,5,6,3,4,1,2,9,7]=>10101001=>[1,2,2,3,1] [5,3,8,2,6,1,4,9,7]=>10101001=>[1,2,2,3,1] [5,4,3,2,8,1,6,9,7]=>11101001=>[1,1,1,2,3,1] [6,5,4,3,2,1,8,9,7]=>11111001=>[1,1,1,1,1,3,1] [6,9,4,7,2,5,1,3,8]=>01010100=>[2,2,2,3] [6,4,3,9,2,7,1,5,8]=>11010100=>[1,1,2,2,3] [6,5,4,3,2,9,1,7,8]=>11110100=>[1,1,1,1,2,3] [5,6,1,2,3,7,8,9,10,4]=>010000001=>[2,7,1] [2,5,1,3,6,7,8,9,10,4]=>010000001=>[2,7,1] [3,2,1,5,6,7,8,9,10,4]=>110000001=>[1,1,7,1] [6,7,8,1,2,3,4,9,10,5]=>001000001=>[3,6,1] [2,6,7,1,3,4,8,9,10,5]=>001000001=>[3,6,1] [6,3,4,1,2,7,8,9,10,5]=>101000001=>[1,2,6,1] [3,2,6,1,4,7,8,9,10,5]=>101000001=>[1,2,6,1] [4,3,2,1,6,7,8,9,10,5]=>111000001=>[1,1,1,6,1] [2,7,8,9,1,3,4,5,10,6]=>000100001=>[4,5,1] [7,3,4,8,1,2,5,9,10,6]=>100100001=>[1,3,5,1] [3,2,7,8,1,4,5,9,10,6]=>100100001=>[1,3,5,1] [4,7,2,5,1,3,8,9,10,6]=>010100001=>[2,2,5,1] [4,3,2,7,1,5,8,9,10,6]=>110100001=>[1,1,2,5,1] [5,4,3,2,1,7,8,9,10,6]=>111100001=>[1,1,1,1,5,1] [8,3,4,9,10,1,2,5,6,7]=>100010000=>[1,4,5] [8,9,4,5,6,1,2,3,10,7]=>010010001=>[2,3,4,1] [4,3,2,8,9,1,5,6,10,7]=>110010001=>[1,1,3,4,1] [8,5,6,3,4,1,2,9,10,7]=>101010001=>[1,2,2,4,1] [5,3,8,2,6,1,4,9,10,7]=>101010001=>[1,2,2,4,1] [5,4,3,2,8,1,6,9,10,7]=>111010001=>[1,1,1,2,4,1] [6,5,4,3,2,1,8,9,10,7]=>111110001=>[1,1,1,1,1,4,1] [5,9,10,2,6,7,1,3,4,8]=>001001000=>[3,3,4] [9,5,6,3,4,10,1,2,7,8]=>101001000=>[1,2,3,4] [5,3,9,2,6,10,1,4,7,8]=>101001000=>[1,2,3,4] [5,4,3,2,9,10,1,6,7,8]=>111001000=>[1,1,1,3,4] [6,9,4,7,2,5,1,3,10,8]=>010101001=>[2,2,2,3,1] [6,4,3,9,2,7,1,5,10,8]=>110101001=>[1,1,2,2,3,1] [6,5,4,3,2,9,1,7,10,8]=>111101001=>[1,1,1,1,2,3,1] [7,6,5,4,3,2,1,9,10,8]=>111111001=>[1,1,1,1,1,1,3,1] [10,7,8,5,6,3,4,1,2,9]=>101010100=>[1,2,2,2,3] [7,5,10,3,8,2,6,1,4,9]=>101010100=>[1,2,2,2,3] [7,5,4,3,10,2,8,1,6,9]=>111010100=>[1,1,1,2,2,3] [7,6,5,4,3,2,10,1,8,9]=>111110100=>[1,1,1,1,1,2,3] [5,3,4,7,2,1,6,8]=>1001100=>[1,3,1,3] [7,6,9,5,4,3,2,1,8]=>10111110=>[1,2,1,1,1,1,2] [4,8,5,7,1,2,3,6]=>0101000=>[2,2,4] [4,2,3,7,6,1,8,5]=>1001101=>[1,3,1,2,1] [4,2,6,3,1,5,7,8]=>1011000=>[1,2,1,4] [2,1,8,7,4,3,6,5,10,9]=>101110101=>[1,2,1,1,2,2,1] [6,5,2,1,4,3,12,11,8,7,10,9]=>11101011101=>[1,1,1,2,2,1,1,2,1] [4,6,3,2,5,8,7,1]=>0110011=>[2,1,3,1,1] [5,8,4,3,2,6,1,7]=>0111010=>[2,1,1,2,2] [1,5,7,4,8,6,2,3]=>0010110=>[3,2,1,2] [6,1,5,7,3,8,2,4]=>1001010=>[1,3,2,2] [1,2,7,8,6,4,3,5]=>0001110=>[4,1,1,2] [3,5,1,7,8,6,2,4]=>0100110=>[2,3,1,2] [5,2,4,1,7,6,8,3]=>1010101=>[1,2,2,2,1] [2,1,4,3,6,5,7,9,10,8]=>101010001=>[1,2,2,4,1] [2,1,4,3,5,7,8,6,10,9]=>101000101=>[1,2,4,2,1] [2,1,4,3,5,7,6,9,10,8]=>101001001=>[1,2,3,3,1] [2,1,4,3,5,6,8,9,10,7]=>101000001=>[1,2,6,1] [2,1,3,5,6,4,8,7,10,9]=>100010101=>[1,4,2,2,1] [2,1,3,5,6,4,7,9,10,8]=>100010001=>[1,4,4,1] [2,1,3,5,4,7,8,6,10,9]=>100100101=>[1,3,3,2,1] [2,1,3,5,4,7,6,9,10,8]=>100101001=>[1,3,2,3,1] [2,1,3,5,4,6,8,9,10,7]=>100100001=>[1,3,5,1] [2,1,3,4,6,7,8,5,10,9]=>100000101=>[1,6,2,1] [2,1,3,4,6,7,5,9,10,8]=>100001001=>[1,5,3,1] [2,1,3,4,6,5,8,9,10,7]=>100010001=>[1,4,4,1] [2,1,3,4,5,7,8,9,10,6]=>100000001=>[1,8,1] [1,3,4,2,6,5,7,9,10,8]=>001010001=>[3,2,4,1] [1,3,4,2,5,7,8,6,10,9]=>001000101=>[3,4,2,1] [1,3,4,2,5,7,6,9,10,8]=>001001001=>[3,3,3,1] [1,3,4,2,5,6,8,9,10,7]=>001000001=>[3,6,1] [1,3,2,5,6,4,8,7,10,9]=>010010101=>[2,3,2,2,1] [1,3,2,5,6,4,7,9,10,8]=>010010001=>[2,3,4,1] [1,3,2,5,4,7,8,6,10,9]=>010100101=>[2,2,3,2,1] [1,3,2,5,4,7,6,9,10,8]=>010101001=>[2,2,2,3,1] [1,3,2,5,4,6,8,9,10,7]=>010100001=>[2,2,5,1] [1,3,2,4,6,7,8,5,10,9]=>010000101=>[2,5,2,1] [1,3,2,4,6,7,5,9,10,8]=>010001001=>[2,4,3,1] [1,3,2,4,6,5,8,9,10,7]=>010010001=>[2,3,4,1] [1,3,2,4,5,7,8,9,10,6]=>010000001=>[2,7,1] [1,2,4,5,6,3,8,7,10,9]=>000010101=>[5,2,2,1] [1,2,4,5,6,3,7,9,10,8]=>000010001=>[5,4,1] [1,2,4,5,3,7,8,6,10,9]=>000100101=>[4,3,2,1] [1,2,4,5,3,7,6,9,10,8]=>000101001=>[4,2,3,1] [1,2,4,5,3,6,8,9,10,7]=>000100001=>[4,5,1] [1,2,4,3,6,7,8,5,10,9]=>001000101=>[3,4,2,1] [1,2,4,3,6,7,5,9,10,8]=>001001001=>[3,3,3,1] [1,2,4,3,6,5,8,9,10,7]=>001010001=>[3,2,4,1] [1,2,4,3,5,7,8,9,10,6]=>001000001=>[3,6,1] [1,2,3,5,6,7,8,4,10,9]=>000000101=>[7,2,1] [1,2,3,5,6,7,4,9,10,8]=>000001001=>[6,3,1] [1,2,3,5,6,4,8,9,10,7]=>000010001=>[5,4,1] [1,2,3,5,4,7,8,9,10,6]=>000100001=>[4,5,1] [2,1,4,3,6,5,8,7,9,11,12,10]=>10101010001=>[1,2,2,2,4,1] [2,1,4,3,6,5,7,9,8,11,12,10]=>10101001001=>[1,2,2,3,3,1] [2,1,4,3,5,7,8,6,9,11,12,10]=>10100010001=>[1,2,4,4,1] [2,1,4,3,5,7,6,9,10,8,12,11]=>10100100101=>[1,2,3,3,2,1] [2,1,4,3,5,7,6,9,8,11,12,10]=>10100101001=>[1,2,3,2,3,1] [2,1,4,3,5,6,8,7,10,11,12,9]=>10100010001=>[1,2,4,4,1] [2,1,3,5,6,4,8,7,10,9,12,11]=>10001010101=>[1,4,2,2,2,1] [2,1,3,5,6,4,8,7,9,11,12,10]=>10001010001=>[1,4,2,4,1] [2,1,3,5,6,4,7,9,10,8,12,11]=>10001000101=>[1,4,4,2,1] [2,1,3,5,6,4,7,9,8,11,12,10]=>10001001001=>[1,4,3,3,1] [2,1,3,5,4,7,8,6,10,9,12,11]=>10010010101=>[1,3,3,2,2,1] [2,1,3,5,4,7,8,6,9,11,12,10]=>10010010001=>[1,3,3,4,1] [2,1,3,5,4,7,6,9,10,8,12,11]=>10010100101=>[1,3,2,3,2,1] [2,1,3,5,4,7,6,9,8,11,12,10]=>10010101001=>[1,3,2,2,3,1] [2,1,3,5,4,6,8,9,7,11,12,10]=>10010001001=>[1,3,4,3,1] [2,1,3,5,4,6,8,7,10,11,12,9]=>10010010001=>[1,3,3,4,1] [2,1,3,4,6,7,8,5,10,9,12,11]=>10000010101=>[1,6,2,2,1] [2,1,3,4,6,7,5,8,10,11,12,9]=>10000100001=>[1,5,5,1] [2,1,3,4,6,5,8,9,10,7,12,11]=>10001000101=>[1,4,4,2,1] [2,1,3,4,6,5,8,9,7,11,12,10]=>10001001001=>[1,4,3,3,1] [2,1,3,4,6,5,8,7,10,11,12,9]=>10001010001=>[1,4,2,4,1] [2,1,3,4,5,7,8,9,10,6,12,11]=>10000000101=>[1,8,2,1] [2,1,3,4,5,7,6,9,10,11,12,8]=>10000100001=>[1,5,5,1] [2,1,3,4,5,6,8,9,10,11,12,7]=>10000000001=>[1,10,1] [1,3,4,2,6,5,8,7,10,9,12,11]=>00101010101=>[3,2,2,2,2,1] [1,3,4,2,6,5,8,7,9,11,12,10]=>00101010001=>[3,2,2,4,1] [1,3,4,2,6,5,7,9,10,8,12,11]=>00101000101=>[3,2,4,2,1] [1,3,4,2,6,5,7,9,8,11,12,10]=>00101001001=>[3,2,3,3,1] [1,3,4,2,5,7,8,6,10,9,12,11]=>00100010101=>[3,4,2,2,1] [1,3,4,2,5,7,8,6,9,11,12,10]=>00100010001=>[3,4,4,1] [1,3,4,2,5,7,6,9,10,8,12,11]=>00100100101=>[3,3,3,2,1] [1,3,4,2,5,7,6,9,8,11,12,10]=>00100101001=>[3,3,2,3,1] [1,3,4,2,5,7,6,8,10,11,12,9]=>00100100001=>[3,3,5,1] [1,3,4,2,5,6,8,9,7,11,12,10]=>00100001001=>[3,5,3,1] [1,3,4,2,5,6,8,7,10,11,12,9]=>00100010001=>[3,4,4,1] [1,3,4,2,5,6,7,9,10,11,12,8]=>00100000001=>[3,8,1] [1,3,2,5,6,4,8,7,10,9,12,11]=>01001010101=>[2,3,2,2,2,1] [1,3,2,5,6,4,8,7,9,11,12,10]=>01001010001=>[2,3,2,4,1] [1,3,2,5,6,4,7,9,10,8,12,11]=>01001000101=>[2,3,4,2,1] [1,3,2,5,6,4,7,9,8,11,12,10]=>01001001001=>[2,3,3,3,1] [1,3,2,5,4,7,8,6,10,9,12,11]=>01010010101=>[2,2,3,2,2,1] [1,3,2,5,4,7,8,6,9,11,12,10]=>01010010001=>[2,2,3,4,1] [1,3,2,5,4,7,6,9,10,8,12,11]=>01010100101=>[2,2,2,3,2,1] [1,3,2,5,4,7,6,9,8,11,12,10]=>01010101001=>[2,2,2,2,3,1] [1,3,2,5,4,6,8,9,7,11,12,10]=>01010001001=>[2,2,4,3,1] [1,3,2,5,4,6,8,7,10,11,12,9]=>01010010001=>[2,2,3,4,1] [1,3,2,5,4,6,7,9,10,11,12,8]=>01010000001=>[2,2,7,1] [1,3,2,4,6,7,8,5,9,11,12,10]=>01000010001=>[2,5,4,1] [1,3,2,4,6,7,5,9,10,8,12,11]=>01000100101=>[2,4,3,2,1] [1,3,2,4,6,7,5,9,8,11,12,10]=>01000101001=>[2,4,2,3,1] [1,3,2,4,6,7,5,8,10,11,12,9]=>01000100001=>[2,4,5,1] [1,3,2,4,6,5,8,9,10,7,12,11]=>01001000101=>[2,3,4,2,1] [1,3,2,4,6,5,8,9,7,11,12,10]=>01001001001=>[2,3,3,3,1] [1,3,2,4,6,5,8,7,10,11,12,9]=>01001010001=>[2,3,2,4,1] [1,3,2,4,5,7,8,6,10,11,12,9]=>01000010001=>[2,5,4,1] [1,3,2,4,5,7,6,9,10,11,12,8]=>01000100001=>[2,4,5,1] [1,3,2,4,5,6,8,9,10,11,12,7]=>01000000001=>[2,9,1] [1,2,4,5,6,3,8,7,10,9,12,11]=>00001010101=>[5,2,2,2,1] [1,2,4,5,6,3,7,8,10,11,12,9]=>00001000001=>[5,6,1] [1,2,4,5,3,7,8,6,10,9,12,11]=>00010010101=>[4,3,2,2,1] [1,2,4,5,3,7,8,6,9,11,12,10]=>00010010001=>[4,3,4,1] [1,2,4,5,3,7,6,9,10,8,12,11]=>00010100101=>[4,2,3,2,1] [1,2,4,5,3,7,6,9,8,11,12,10]=>00010101001=>[4,2,2,3,1] [1,2,4,5,3,7,6,8,10,11,12,9]=>00010100001=>[4,2,5,1] [1,2,4,5,3,6,8,9,10,7,12,11]=>00010000101=>[4,5,2,1] [1,2,4,5,3,6,8,9,7,11,12,10]=>00010001001=>[4,4,3,1] [1,2,4,5,3,6,8,7,10,11,12,9]=>00010010001=>[4,3,4,1] [1,2,4,3,6,7,8,5,10,9,12,11]=>00100010101=>[3,4,2,2,1] [1,2,4,3,6,7,8,5,9,11,12,10]=>00100010001=>[3,4,4,1] [1,2,4,3,6,7,5,9,10,8,12,11]=>00100100101=>[3,3,3,2,1] [1,2,4,3,6,7,5,9,8,11,12,10]=>00100101001=>[3,3,2,3,1] [1,2,4,3,6,7,5,8,10,11,12,9]=>00100100001=>[3,3,5,1] [1,2,4,3,6,5,8,9,10,7,12,11]=>00101000101=>[3,2,4,2,1] [1,2,4,3,6,5,8,9,7,11,12,10]=>00101001001=>[3,2,3,3,1] [1,2,4,3,6,5,8,7,10,11,12,9]=>00101010001=>[3,2,2,4,1] [1,2,4,3,5,7,8,9,6,11,12,10]=>00100001001=>[3,5,3,1] [1,2,4,3,5,7,8,6,10,11,12,9]=>00100010001=>[3,4,4,1] [1,2,4,3,5,7,6,9,10,11,12,8]=>00100100001=>[3,3,5,1] [1,2,4,3,5,6,8,9,10,11,12,7]=>00100000001=>[3,8,1] [1,2,3,5,6,7,8,4,10,9,12,11]=>00000010101=>[7,2,2,1] [1,2,3,5,6,4,7,9,10,11,12,8]=>00001000001=>[5,6,1] [1,2,3,5,4,7,8,9,10,6,12,11]=>00010000101=>[4,5,2,1] [1,2,3,5,4,7,8,9,6,11,12,10]=>00010001001=>[4,4,3,1] [1,2,3,5,4,7,8,6,10,11,12,9]=>00010010001=>[4,3,4,1] [1,2,3,5,4,7,6,9,10,11,12,8]=>00010100001=>[4,2,5,1] [1,2,3,4,6,7,8,9,10,5,12,11]=>00000000101=>[9,2,1] [1,2,3,4,6,7,8,9,5,11,12,10]=>00000001001=>[8,3,1] [1,2,3,4,6,5,8,9,10,11,12,7]=>00001000001=>[5,6,1] [1,2,3,4,5,7,8,9,10,11,12,6]=>00000000001=>[11,1] [2,3,4,9,6,7,8,5,1]=>00010011=>[4,3,1,1] [2,3,9,5,6,7,8,4,1]=>00100011=>[3,4,1,1] [2,9,4,5,6,7,8,3,1]=>01000011=>[2,5,1,1] [9,3,4,5,6,7,8,2,1]=>10000011=>[1,6,1,1] [2,3,4,5,6,10,8,9,7,1]=>000001011=>[6,2,1,1] [2,3,4,1,9,7,8,6,5]=>00101011=>[3,2,2,1,1] [2,3,4,5,10,7,8,9,6,1]=>000010011=>[5,3,1,1] [2,3,1,9,6,7,8,5,4]=>01010011=>[2,2,3,1,1] [2,3,4,10,6,7,8,9,5,1]=>000100011=>[4,4,1,1] [2,1,9,5,6,7,8,4,3]=>10100011=>[1,2,4,1,1] [2,3,10,5,6,7,8,9,4,1]=>001000011=>[3,5,1,1] [1,9,4,5,6,7,8,3,2]=>01000011=>[2,5,1,1] [2,10,4,5,6,7,8,9,3,1]=>010000011=>[2,6,1,1] [10,3,4,5,6,7,8,9,2,1]=>100000011=>[1,7,1,1] [5,6,4,7,3,9,1,8,2]=>01010101=>[2,2,2,2,1] [5,6,4,9,1,8,2,7,3]=>01010101=>[2,2,2,2,1] [5,9,1,8,2,7,3,6,4]=>01010101=>[2,2,2,2,1] [9,1,8,2,7,3,6,4,5]=>10101010=>[1,2,2,2,2] [5,4,3,8,1,7,2,6]=>1101010=>[1,1,2,2,2] [5,4,9,1,8,2,7,3,6]=>10101010=>[1,2,2,2,2] [5,4,6,3,9,1,8,2,7]=>10101010=>[1,2,2,2,2] [5,4,6,3,7,2,9,1,8]=>10101010=>[1,2,2,2,2] [6,5,7,4,8,3,10,1,9,2]=>101010101=>[1,2,2,2,2,1] [5,6,4,8,2,9,1,7,3]=>01010101=>[2,2,2,2,1] [6,5,7,4,10,1,9,2,8,3]=>101010101=>[1,2,2,2,2,1] [5,7,3,9,1,8,2,6,4]=>01010101=>[2,2,2,2,1] [6,5,10,1,9,2,8,3,7,4]=>101010101=>[1,2,2,2,2,1] [6,4,9,1,8,2,7,3,5]=>10101010=>[1,2,2,2,2] [4,5,9,1,8,2,7,3,6]=>00101010=>[3,2,2,2] [5,10,1,9,2,8,3,7,4,6]=>010101010=>[2,2,2,2,2] [6,4,5,3,9,1,8,2,7]=>10101010=>[1,2,2,2,2] [5,6,4,10,1,9,2,8,3,7]=>010101010=>[2,2,2,2,2] [5,4,7,3,6,2,9,1,8]=>10101010=>[1,2,2,2,2] [5,6,4,7,3,10,1,9,2,8]=>010101010=>[2,2,2,2,2] [5,6,4,7,3,8,2,10,1,9]=>010101010=>[2,2,2,2,2] [7,3,1,5,6,8,4,2]=>1100011=>[1,1,4,1,1] [2,10,1,3,4,5,6,9,7,8]=>010000010=>[2,6,2] [2,9,1,3,4,5,6,7,10,8]=>010000001=>[2,7,1] [12,1,2,3,4,5,6,7,8,11,9,10]=>10000000010=>[1,9,2] [2,11,1,3,4,5,6,7,10,8,9]=>0100000010=>[2,7,2] [10,3,1,2,4,5,6,9,7,8]=>110000010=>[1,1,6,2] [3,1,10,2,4,5,6,9,7,8]=>101000010=>[1,2,5,2] [9,3,1,2,4,5,6,7,10,8]=>110000001=>[1,1,7,1] [3,1,9,2,4,5,6,7,10,8]=>101000001=>[1,2,6,1] [2,10,1,3,4,5,6,7,8,11,9]=>0100000001=>[2,8,1] [7,2,3,1,6,8,4,5]=>1010010=>[1,2,3,2] [4,1,8,2,5,6,3,7]=>1010010=>[1,2,3,2] [5,7,8,1,6,2,3,4]=>0010100=>[3,2,3] [1,6,4,2,7,3,8,5]=>0110101=>[2,1,2,2,1] [1,4,2,5,8,6,3,7]=>0100110=>[2,3,1,2] [4,3,2,1,8,9,7,6,5]=>11100111=>[1,1,1,3,1,1,1] [4,8,2,1,5,7,3,6]=>0110010=>[2,1,3,2] [5,2,7,1,6,3,4,8]=>1010100=>[1,2,2,3] [4,8,2,5,1,6,3,7]=>0101010=>[2,2,2,2] [5,8,1,2,4,6,3,7]=>0100010=>[2,4,2] [5,1,7,3,6,4,2,8]=>1010110=>[1,2,2,1,2] [3,2,7,5,6,1,4,8]=>1010100=>[1,2,2,3] [3,2,7,1,6,4,5,8]=>1010100=>[1,2,2,3] [6,3,1,7,5,4,2,8]=>1101110=>[1,1,2,1,1,2] [9,8,3,4,5,6,7,1,2]=>11000010=>[1,1,5,2] [9,8,2,3,4,5,6,1,7]=>11000010=>[1,1,5,2] [6,2,8,7,3,4,5,1]=>1011001=>[1,2,1,3,1] [9,4,5,6,7,8,2,1,3]=>10000110=>[1,5,1,2] [9,3,4,5,6,7,2,1,8]=>10000110=>[1,5,1,2] [11,2,1,3,4,5,6,7,8,9,10]=>1100000000=>[1,1,9] [12,11,1,2,3,4,5,6,7,8,9,10]=>11000000000=>[1,1,10] [11,10,2,3,4,5,6,7,8,9,1]=>1100000001=>[1,1,8,1] [10,9,3,4,5,6,7,8,1,2]=>110000010=>[1,1,6,2] [10,9,2,3,4,5,6,7,1,8]=>110000010=>[1,1,6,2] [7,2,9,8,3,4,5,6,1]=>10110001=>[1,2,1,4,1] [9,8,2,3,4,5,1,6,7]=>11000100=>[1,1,4,3] [7,3,4,8,5,6,2,1]=>1001011=>[1,3,2,1,1] [9,5,6,7,8,2,1,3,4]=>10001100=>[1,4,1,3] [7,3,6,8,4,5,2,1]=>1001011=>[1,3,2,1,1] [8,3,9,4,5,6,7,2,1]=>10100011=>[1,2,4,1,1] [10,4,5,6,7,8,9,2,1,3]=>100000110=>[1,6,1,2] [9,3,4,5,6,2,1,7,8]=>10001100=>[1,4,1,3] [10,3,4,5,6,7,8,2,1,9]=>100000110=>[1,6,1,2] [11,3,4,5,6,7,8,9,10,2,1]=>1000000011=>[1,8,1,1] [12,2,1,3,4,5,6,7,8,9,10,11]=>11000000000=>[1,1,10] [5,6,2,8,3,1,7,4]=>0101101=>[2,2,1,2,1] [1,4,7,5,6,2,8,3]=>0010101=>[3,2,2,1] [1,7,4,8,3,5,6,2]=>0101001=>[2,2,3,1] [5,3,1,4,8,6,2,7]=>1100110=>[1,1,3,1,2] [5,2,4,8,3,1,6,7]=>1001100=>[1,3,1,3] [7,4,5,1,8,6,2,3]=>1010110=>[1,2,2,1,2] [8,1,5,7,6,3,2,4]=>1001110=>[1,3,1,1,2] [1,8,6,7,5,3,2,4]=>0101110=>[2,2,1,1,2] [7,4,8,3,1,6,5,2]=>1011011=>[1,2,1,2,1,1] [8,1,5,3,7,6,2,4]=>1010110=>[1,2,2,1,2] [6,4,8,7,3,5,1,2]=>1011010=>[1,2,1,2,2] [6,1,4,2,3,5,7,8]=>1010000=>[1,2,5] [7,1,4,3,8,6,5,2]=>1010111=>[1,2,2,1,1,1] [6,1,5,7,2,8,3,4]=>1001010=>[1,3,2,2] [1,8,2,6,7,4,3,5]=>0100110=>[2,3,1,2] [1,6,2,7,3,8,4,9,5]=>01010101=>[2,2,2,2,1] [1,8,5,2,9,6,3,10,7,4]=>011011011=>[2,1,2,1,2,1,1] [7,2,4,1,8,5,3,6]=>1010110=>[1,2,2,1,2] [4,7,2,6,1,8,3,5]=>0101010=>[2,2,2,2] [8,7,3,5,2,1,6,4]=>1101101=>[1,1,2,1,2,1] [7,5,3,2,1,6,8,4]=>1111001=>[1,1,1,1,3,1] [6,8,1,3,4,2,5,7]=>0100100=>[2,3,3] [3,6,1,4,7,8,2,5]=>0100010=>[2,4,2] [2,5,7,1,3,6,4,8]=>0010010=>[3,3,2] [1,4,7,2,5,3,6,8]=>0010100=>[3,2,3] [4,5,3,1,2,6,8,7]=>0110001=>[2,1,4,1] [4,5,1,3,8,2,6,7]=>0100100=>[2,3,3] [4,1,5,3,2,7,6,8]=>1011010=>[1,2,1,2,2] [7,3,5,1,4,2,6,8]=>1010100=>[1,2,2,3] [6,2,1,7,4,3,8,5]=>1101101=>[1,1,2,1,2,1] [2,4,3,6,7,1,5,8]=>0100100=>[2,3,3] [7,3,5,2,1,6,4,8]=>1011010=>[1,2,1,2,2] [4,6,5,2,1,3,7,8]=>0111000=>[2,1,1,4] [2,5,6,1,4,3,7,8]=>0010100=>[3,2,3] [6,1,5,3,7,2,4,8]=>1010100=>[1,2,2,3] [3,6,5,4,1,7,2,8]=>0111010=>[2,1,1,2,2] [10,9,3,8,7,6,5,4,2,1]=>110111111=>[1,1,2,1,1,1,1,1,1] [8,7,6,4,5,3,2,1,10,9]=>111011101=>[1,1,1,2,1,1,2,1] [10,9,8,6,5,4,7,3,2,1]=>111110111=>[1,1,1,1,1,2,1,1,1] [9,11,1,2,3,4,5,6,7,8,10]=>0100000000=>[2,9] [6,7,1,9,2,3,4,5,8]=>01010000=>[2,2,5] [6,1,8,9,2,3,4,5,7]=>10010000=>[1,3,5] [8,1,9,10,2,3,4,5,6,7]=>100100000=>[1,3,6] [6,8,7,5,4,2,1,3]=>0111110=>[2,1,1,1,1,2] [1,6,8,7,3,2,4,5]=>0011100=>[3,1,1,3] [8,7,5,4,6,1,3,2]=>1110101=>[1,1,1,2,2,1] [1,7,8,2,4,6,3,5]=>0010010=>[3,3,2] [7,5,4,8,1,3,6,2]=>1101001=>[1,1,2,3,1] [5,6,1,8,4,3,7,2]=>0101101=>[2,2,1,2,1] [1,8,2,6,7,5,4,3]=>0100111=>[2,3,1,1,1] [2,7,5,1,6,8,3,4]=>0110010=>[2,1,3,2] [8,5,4,2,7,3,6,1]=>1110101=>[1,1,1,2,2,1] [3,8,6,1,2,4,5,7]=>0110000=>[2,1,5] [1,8,5,3,2,7,4,6]=>0111010=>[2,1,1,2,2] [1,8,4,7,2,3,5,6]=>0101000=>[2,2,4] [3,2,8,1,7,5,4,6]=>1010110=>[1,2,2,1,2] [3,4,5,6,2,1,7,8,9]=>00011000=>[4,1,4] [3,4,5,2,1,6,7,8,9]=>00110000=>[3,1,5] [7,1,5,6,2,3,4,8]=>1001000=>[1,3,4] [6,5,1,7,2,3,4,8]=>1101000=>[1,1,2,4] [1,6,8,2,7,3,4,5]=>0010100=>[3,2,3] [1,6,8,7,3,4,2,5]=>0011010=>[3,1,2,2] [4,1,3,6,7,8,5,2]=>1000011=>[1,5,1,1] [7,4,1,5,6,8,3,2]=>1100011=>[1,1,4,1,1] [4,1,2,6,7,8,5,3]=>1000011=>[1,5,1,1] [3,4,5,8,9,1,2,6,7]=>00001000=>[5,4] [3,4,7,8,9,1,2,5,6]=>00001000=>[5,4] [3,6,7,8,9,1,2,4,5]=>00001000=>[5,4] [3,4,5,6,1,7,2,8,9]=>00010100=>[4,2,3] [3,4,5,1,6,2,7,8,9]=>00101000=>[3,2,4] [3,4,5,6,7,10,1,2,8,9]=>000001000=>[6,4] [3,4,1,5,9,2,6,7,8]=>01001000=>[2,3,4] [3,4,5,6,9,10,1,2,7,8]=>000001000=>[6,4] [3,4,5,8,9,10,1,2,6,7]=>000001000=>[6,4] [1,3,7,8,9,2,4,5,6]=>00001000=>[5,4] [3,4,7,8,9,10,1,2,5,6]=>000001000=>[6,4] [2,6,7,8,9,1,3,4,5]=>00001000=>[5,4] [3,6,7,8,9,10,1,2,4,5]=>000001000=>[6,4] [6,3,7,1,8,2,4,5]=>1010100=>[1,2,2,3] [3,7,8,1,5,2,6,4]=>0010101=>[3,2,2,1] [2,1,4,3,6,5,10,7,9,8]=>101010101=>[1,2,2,2,2,1] [2,1,4,3,8,5,7,6,10,9]=>101010101=>[1,2,2,2,2,1] [2,1,4,3,10,9,7,5,6,8]=>101011100=>[1,2,2,1,1,3] [2,1,4,3,10,5,6,8,9,7]=>101010001=>[1,2,2,4,1] [2,1,6,3,5,4,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [2,1,6,3,5,4,10,7,9,8]=>101010101=>[1,2,2,2,2,1] [2,1,8,7,5,3,4,6,10,9]=>101110001=>[1,2,1,1,4,1] [2,1,10,7,5,9,4,3,6,8]=>101101100=>[1,2,1,2,1,3] [2,1,10,8,5,3,6,4,9,7]=>101110101=>[1,2,1,1,2,2,1] [2,1,8,3,4,6,7,5,10,9]=>101000101=>[1,2,4,2,1] [2,1,10,9,4,6,7,3,5,8]=>101100100=>[1,2,1,3,3] [2,1,10,3,9,6,4,8,5,7]=>101011010=>[1,2,2,1,2,2] [2,1,10,3,4,5,7,8,9,6]=>101000001=>[1,2,6,1] [4,1,3,2,6,5,8,7,10,9]=>101010101=>[1,2,2,2,2,1] [4,1,3,2,6,5,10,7,9,8]=>101010101=>[1,2,2,2,2,1] [4,1,3,2,8,5,7,6,10,9]=>101010101=>[1,2,2,2,2,1] [4,1,3,2,10,9,7,5,6,8]=>101011100=>[1,2,2,1,1,3] [4,1,3,2,10,5,6,8,9,7]=>101010001=>[1,2,2,4,1] [6,5,3,1,2,4,10,7,9,8]=>111000101=>[1,1,1,4,2,1] [8,5,3,7,2,1,4,6,10,9]=>110110001=>[1,1,2,1,4,1] [10,5,3,7,2,9,4,1,6,8]=>110101100=>[1,1,2,2,1,3] [10,5,3,8,2,1,6,4,9,7]=>110110101=>[1,1,2,1,2,2,1] [8,6,3,1,4,2,7,5,10,9]=>111010101=>[1,1,1,2,2,2,1] [10,6,3,9,4,2,7,1,5,8]=>110110100=>[1,1,2,1,2,3] [10,6,3,1,9,2,4,8,5,7]=>111010010=>[1,1,1,2,3,2] [10,7,3,1,4,5,2,8,9,6]=>111001001=>[1,1,1,3,3,1] [6,1,2,4,5,3,8,7,10,9]=>100010101=>[1,4,2,2,1] [6,1,2,4,5,3,10,7,9,8]=>100010101=>[1,4,2,2,1] [8,7,2,4,5,1,3,6,10,9]=>110010001=>[1,1,3,4,1] [10,7,2,4,5,9,3,1,6,8]=>110001100=>[1,1,4,1,3] [10,8,2,4,5,1,6,3,9,7]=>110010101=>[1,1,3,2,2,1] [8,1,7,4,2,6,3,5,10,9]=>101101001=>[1,2,1,2,3,1] [10,9,7,4,2,6,3,1,5,8]=>111101100=>[1,1,1,1,2,1,3] [10,1,8,4,9,6,2,3,5,7]=>101011000=>[1,2,2,1,4] [10,1,8,4,2,5,7,3,9,6]=>101100101=>[1,2,1,3,2,1] [8,1,2,3,5,6,7,4,10,9]=>100000101=>[1,6,2,1] [10,9,2,3,5,6,7,1,4,8]=>110000100=>[1,1,5,3] [10,1,9,3,5,6,2,8,4,7]=>101001010=>[1,2,3,2,2] [10,1,2,9,5,3,7,8,4,6]=>100110010=>[1,3,1,3,2] [2,1,4,3,6,5,8,7,12,9,11,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,6,5,10,7,9,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,6,5,12,7,8,10,11,9]=>10101010001=>[1,2,2,2,4,1] [2,1,4,3,8,5,7,6,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,8,5,7,6,12,9,11,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,4,3,12,10,7,5,8,6,11,9]=>10101110101=>[1,2,2,1,1,2,2,1] [2,1,4,3,12,5,11,8,6,10,7,9]=>10101011010=>[1,2,2,2,1,2,2] [2,1,6,3,5,4,8,7,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,5,4,8,7,12,9,11,10]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,5,4,10,7,9,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [2,1,6,3,5,4,12,7,8,10,11,9]=>10101010001=>[1,2,2,2,4,1] [2,1,12,7,5,10,4,3,8,6,11,9]=>10110110101=>[1,2,1,2,1,2,2,1] [2,1,10,8,5,3,6,4,9,7,12,11]=>10111010101=>[1,2,1,1,2,2,2,1] [2,1,10,3,9,6,4,8,5,7,12,11]=>10101101001=>[1,2,2,1,2,3,1] [2,1,12,3,11,5,7,8,4,10,6,9]=>10101001010=>[1,2,2,3,2,2] [4,1,3,2,6,5,8,7,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,3,2,6,5,8,7,12,9,11,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,3,2,6,5,10,7,9,8,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,3,2,6,5,12,7,8,10,11,9]=>10101010001=>[1,2,2,2,4,1] [4,1,3,2,8,5,7,6,10,9,12,11]=>10101010101=>[1,2,2,2,2,2,1] [4,1,3,2,8,5,7,6,12,9,11,10]=>10101010101=>[1,2,2,2,2,2,1] [4,1,3,2,12,10,7,5,8,6,11,9]=>10101110101=>[1,2,2,1,1,2,2,1] [4,1,3,2,12,5,11,8,6,10,7,9]=>10101011010=>[1,2,2,2,1,2,2] [12,5,3,7,2,9,4,11,6,1,8,10]=>11010101100=>[1,1,2,2,2,1,3] [12,5,3,7,2,10,4,1,8,6,11,9]=>11010110101=>[1,1,2,2,1,2,2,1] [10,5,3,8,2,1,6,4,9,7,12,11]=>11011010101=>[1,1,2,1,2,2,2,1] [12,5,3,8,2,11,6,4,9,1,7,10]=>11010110100=>[1,1,2,2,1,2,3] [12,6,3,10,4,2,7,1,8,5,11,9]=>11011010101=>[1,1,2,1,2,2,2,1] [12,7,3,11,4,5,2,8,9,1,6,10]=>11010100100=>[1,1,2,2,3,3] [6,1,2,4,5,3,8,7,10,9,12,11]=>10001010101=>[1,4,2,2,2,1] [6,1,2,4,5,3,8,7,12,9,11,10]=>10001010101=>[1,4,2,2,2,1] [6,1,2,4,5,3,10,7,9,8,12,11]=>10001010101=>[1,4,2,2,2,1] [6,1,2,4,5,3,12,7,8,10,11,9]=>10001010001=>[1,4,2,4,1] [12,1,9,4,10,6,2,7,3,5,11,8]=>10101101001=>[1,2,2,1,2,3,1] [12,1,8,4,11,5,7,3,2,10,6,9]=>10101011010=>[1,2,2,2,1,2,2] [12,1,9,4,2,11,7,5,3,10,6,8]=>10110111010=>[1,2,1,2,1,1,2,2] [8,1,2,3,5,6,7,4,10,9,12,11]=>10000010101=>[1,6,2,2,1] [8,1,2,3,5,6,7,4,12,9,11,10]=>10000010101=>[1,6,2,2,1] [10,1,9,3,5,6,2,8,4,7,12,11]=>10100101001=>[1,2,3,2,3,1] [12,1,10,3,5,6,2,7,9,4,11,8]=>10100100101=>[1,2,3,3,2,1] [10,1,2,3,4,6,7,8,9,5,12,11]=>10000000101=>[1,8,2,1] [12,1,2,11,4,6,7,3,9,10,5,8]=>10010010010=>[1,3,3,3,2] [1,5,4,7,8,3,6,2]=>0100101=>[2,3,2,1] [5,1,4,7,8,3,6,2]=>1000101=>[1,4,2,1] [4,8,1,5,6,2,3,7]=>0100100=>[2,3,3] [5,6,4,1,7,3,8,2]=>0110101=>[2,1,2,2,1] [4,3,7,8,2,5,1,6]=>1001010=>[1,3,2,2] [3,7,8,5,4,2,1,6]=>0011110=>[3,1,1,1,2] [1,7,4,5,6,8,3,2]=>0100011=>[2,4,1,1] [7,2,4,5,6,8,3,1]=>1000011=>[1,5,1,1] [2,7,4,5,6,8,3,1]=>0100011=>[2,4,1,1] [2,4,7,8,3,1,6,5]=>0001101=>[4,1,2,1] [5,4,3,6,8,1,7,2]=>1100101=>[1,1,3,2,1] [3,7,4,5,8,1,6,2]=>0100101=>[2,3,2,1] [1,4,3,5,6,8,2,7]=>0100010=>[2,4,2] [1,4,6,5,8,2,7,3]=>0010101=>[3,2,2,1] [4,6,1,7,3,2,8,5]=>0101101=>[2,2,1,2,1] [1,7,3,6,4,2,8,5]=>0101101=>[2,2,1,2,1] [4,7,3,5,1,2,8,6]=>0101001=>[2,2,3,1] [1,6,4,2,3,5,8,7]=>0110001=>[2,1,4,1] [4,8,3,5,2,1,6,7]=>0101100=>[2,2,1,3] [10,9,7,6,5,4,3,8,2,1]=>111111011=>[1,1,1,1,1,1,2,1,1] [1,6,8,4,7,5,3,2]=>0010111=>[3,2,1,1,1] [8,7,3,1,5,2,6,4]=>1110101=>[1,1,1,2,2,1] [4,7,1,6,8,2,3,5]=>0100100=>[2,3,3] [4,6,5,8,2,3,7,1]=>0101001=>[2,2,3,1] [7,1,8,2,4,5,3,6]=>1010010=>[1,2,3,2] [5,7,8,2,3,4,1,6]=>0010010=>[3,3,2] [5,2,3,8,7,1,4,6]=>1001100=>[1,3,1,3] [8,7,1,3,2,6,4,5]=>1101010=>[1,1,2,2,2] [2,7,6,4,8,3,1,5]=>0110110=>[2,1,2,1,2] [2,6,3,7,5,8,4,1]=>0101011=>[2,2,2,1,1] [7,5,1,2,3,8,4,6]=>1100010=>[1,1,4,2] [4,3,5,2,6,1,7,8,9]=>10101000=>[1,2,2,4] [4,5,3,6,2,7,1,8,9]=>01010100=>[2,2,2,3] [3,2,4,1,5,6,7,8,9,10]=>101000000=>[1,2,7] [3,4,2,5,1,6,7,8,9,10]=>010100000=>[2,2,6] [4,3,5,2,6,1,7,8,9,10]=>101010000=>[1,2,2,5] [4,5,3,6,2,7,1,8,9,10]=>010101000=>[2,2,2,4] [5,4,6,3,7,2,8,1,9,10]=>101010100=>[1,2,2,2,3] [8,6,2,1,3,7,4,5]=>1110010=>[1,1,1,3,2] [4,2,3,6,8,5,7,1]=>1000101=>[1,4,2,1] [4,7,3,2,6,5,1,8]=>0110110=>[2,1,2,1,2] [4,3,7,8,2,1,6,5]=>1001101=>[1,3,1,2,1] [4,8,7,2,1,5,6,3]=>0111001=>[2,1,1,3,1] [7,3,8,2,5,1,6,4]=>1010101=>[1,2,2,2,1] [4,5,3,8,6,1,2,7]=>0101100=>[2,2,1,3] [6,3,5,8,4,1,2,7]=>1001100=>[1,3,1,3] [7,3,8,4,5,1,2,6]=>1010100=>[1,2,2,3] [4,8,7,5,1,2,6,3]=>0111001=>[2,1,1,3,1] [7,8,4,6,1,3,5,2]=>0101001=>[2,2,3,1] [4,8,7,5,1,3,6,2]=>0111001=>[2,1,1,3,1] [4,5,3,6,8,1,2,7]=>0100100=>[2,3,3] [7,8,6,2,1,4,3,5]=>0111010=>[2,1,1,2,2] [7,8,6,3,1,2,5,4]=>0111001=>[2,1,1,3,1] [3,7,6,4,1,5,2,8]=>0111010=>[2,1,1,2,2] [5,2,8,4,7,1,3,6]=>1010100=>[1,2,2,3] [7,3,1,2,8,6,5,4]=>1100111=>[1,1,3,1,1,1] [8,7,1,3,2,4,5,6]=>1101000=>[1,1,2,4] [4,1,3,6,5,7,2,8]=>1001010=>[1,3,2,2] [4,1,3,5,7,2,8,6]=>1000101=>[1,4,2,1] [5,1,8,2,4,6,3,7]=>1010010=>[1,2,3,2] [6,8,2,1,4,5,3,7]=>0110010=>[2,1,3,2] [4,2,7,3,6,8,5,1]=>1010011=>[1,2,3,1,1] [3,1,5,8,6,7,2,4]=>1001010=>[1,3,2,2] [6,8,2,1,4,5,7,3]=>0110001=>[2,1,4,1] [2,1,4,3,6,5,10,7,8,9]=>101010100=>[1,2,2,2,3] [2,1,4,3,8,5,6,7,10,9]=>101010001=>[1,2,2,4,1] [2,1,4,3,10,9,6,5,8,7]=>101011101=>[1,2,2,1,1,2,1] [2,1,4,3,10,5,6,7,8,9]=>101010000=>[1,2,2,5] [2,1,6,3,4,5,8,7,10,9]=>101000101=>[1,2,4,2,1] [2,1,6,3,4,5,10,7,8,9]=>101000100=>[1,2,4,3] [2,1,10,7,4,9,6,3,8,5]=>101101101=>[1,2,1,2,1,2,1] [2,1,10,9,4,3,6,7,8,5]=>101110001=>[1,2,1,1,4,1] [2,1,8,3,4,5,6,7,10,9]=>101000001=>[1,2,6,1] [2,1,10,9,4,5,6,3,8,7]=>101100101=>[1,2,1,3,2,1] [2,1,10,3,8,5,4,7,6,9]=>101011010=>[1,2,2,1,2,2] [4,1,2,3,6,5,10,7,8,9]=>100010100=>[1,4,2,3] [4,1,2,3,8,5,6,7,10,9]=>100010001=>[1,4,4,1] [4,1,2,3,10,9,6,5,8,7]=>100011101=>[1,4,1,1,2,1] [6,5,2,1,4,3,8,7,10,9]=>111010101=>[1,1,1,2,2,2,1] [6,5,2,1,4,3,10,7,8,9]=>111010100=>[1,1,1,2,2,3] [8,5,2,7,4,1,6,3,10,9]=>110110101=>[1,1,2,1,2,2,1] [10,5,2,7,4,9,6,1,8,3]=>110101101=>[1,1,2,2,1,2,1] [10,5,2,9,4,1,6,7,8,3]=>110110001=>[1,1,2,1,4,1] [8,7,2,1,4,5,6,3,10,9]=>111000101=>[1,1,1,4,2,1] [10,7,2,9,4,5,6,1,8,3]=>110100101=>[1,1,2,3,2,1] [10,9,2,1,8,5,4,7,6,3]=>111011011=>[1,1,1,2,1,2,1,1] [10,9,2,1,4,5,6,7,8,3]=>111000001=>[1,1,1,6,1] [6,1,2,3,4,5,8,7,10,9]=>100000101=>[1,6,2,1] [8,7,2,3,4,1,6,5,10,9]=>110010101=>[1,1,3,2,2,1] [10,7,2,3,4,9,6,1,8,5]=>110001101=>[1,1,4,1,2,1] [10,9,2,3,4,1,6,7,8,5]=>110010001=>[1,1,3,4,1] [8,1,6,3,2,5,4,7,10,9]=>101101001=>[1,2,1,2,3,1] [10,9,6,3,2,5,4,1,8,7]=>111101101=>[1,1,1,1,2,1,2,1] [10,1,6,3,8,5,2,7,4,9]=>101011010=>[1,2,2,1,2,2] [10,1,8,3,2,5,6,7,4,9]=>101100010=>[1,2,1,4,2] [10,9,2,3,4,5,6,1,8,7]=>110000101=>[1,1,5,2,1] [10,1,8,3,4,5,2,7,6,9]=>101001010=>[1,2,3,2,2] [10,1,2,7,4,3,6,5,8,9]=>100110100=>[1,3,1,2,3] [2,1,4,3,6,5,8,7,12,9,10,11]=>10101010100=>[1,2,2,2,2,3] [2,1,4,3,6,5,10,7,8,9,12,11]=>10101010001=>[1,2,2,2,4,1] [2,1,4,3,6,5,12,11,8,7,10,9]=>10101011101=>[1,2,2,2,1,1,2,1] [2,1,4,3,8,5,6,7,12,9,10,11]=>10101000100=>[1,2,2,4,3] [2,1,4,3,10,9,6,5,8,7,12,11]=>10101110101=>[1,2,2,1,1,2,2,1] [2,1,4,3,12,9,6,11,8,5,10,7]=>10101101101=>[1,2,2,1,2,1,2,1] [2,1,4,3,12,5,10,7,6,9,8,11]=>10101011010=>[1,2,2,2,1,2,2] [2,1,4,3,12,5,6,7,8,9,10,11]=>10101000000=>[1,2,2,7] [2,1,6,3,4,5,8,7,12,9,10,11]=>10100010100=>[1,2,4,2,3] [2,1,6,3,4,5,10,7,8,9,12,11]=>10100010001=>[1,2,4,4,1] [2,1,8,7,4,3,6,5,10,9,12,11]=>10111010101=>[1,2,1,1,2,2,2,1] [2,1,10,7,4,9,6,3,8,5,12,11]=>10110110101=>[1,2,1,2,1,2,2,1] [2,1,12,7,4,9,6,11,8,3,10,5]=>10110101101=>[1,2,1,2,2,1,2,1] [2,1,12,11,4,3,10,7,6,9,8,5]=>10111011011=>[1,2,1,1,2,1,2,1,1] [2,1,10,3,8,5,4,7,6,9,12,11]=>10101101001=>[1,2,2,1,2,3,1] [2,1,12,11,8,5,4,7,6,3,10,9]=>10111101101=>[1,2,1,1,1,2,1,2,1] [2,1,12,3,8,5,10,7,4,9,6,11]=>10101011010=>[1,2,2,2,1,2,2] [2,1,12,3,10,5,6,7,4,9,8,11]=>10101001010=>[1,2,2,3,2,2] [2,1,12,3,4,5,6,7,8,9,10,11]=>10100000000=>[1,2,9] [4,1,2,3,6,5,8,7,10,9,12,11]=>10001010101=>[1,4,2,2,2,1] [4,1,2,3,6,5,8,7,12,9,10,11]=>10001010100=>[1,4,2,2,3] [4,1,2,3,6,5,10,7,8,9,12,11]=>10001010001=>[1,4,2,4,1] [4,1,2,3,8,5,6,7,10,9,12,11]=>10001000101=>[1,4,4,2,1] [4,1,2,3,8,5,6,7,12,9,10,11]=>10001000100=>[1,4,4,3] [6,5,2,1,4,3,8,7,12,9,10,11]=>11101010100=>[1,1,1,2,2,2,3] [8,5,2,7,4,1,6,3,10,9,12,11]=>11011010101=>[1,1,2,1,2,2,2,1] [8,5,2,7,4,1,6,3,12,9,10,11]=>11011010100=>[1,1,2,1,2,2,3] [10,5,2,7,4,9,6,1,8,3,12,11]=>11010110101=>[1,1,2,2,1,2,2,1] [12,5,2,7,4,9,6,11,8,1,10,3]=>11010101101=>[1,1,2,2,2,1,2,1] [12,5,2,11,4,1,10,7,6,9,8,3]=>11011011011=>[1,1,2,1,2,1,2,1,1] [10,9,2,1,8,5,4,7,6,3,12,11]=>11101101101=>[1,1,1,2,1,2,1,2,1] [12,9,2,11,8,5,4,7,6,1,10,3]=>11011101101=>[1,1,2,1,1,2,1,2,1] [12,11,2,1,8,5,10,7,4,9,6,3]=>11101011011=>[1,1,1,2,2,1,2,1,1] [12,11,2,1,4,5,6,7,8,9,10,3]=>11100000001=>[1,1,1,8,1] [6,1,2,3,4,5,8,7,10,9,12,11]=>10000010101=>[1,6,2,2,1] [6,1,2,3,4,5,12,7,8,9,10,11]=>10000010000=>[1,6,5] [8,7,2,3,4,1,6,5,12,9,10,11]=>11001010100=>[1,1,3,2,2,3] [10,1,6,3,8,5,2,7,4,9,12,11]=>10101101001=>[1,2,2,1,2,3,1] [12,11,6,3,8,5,2,7,4,1,10,9]=>11101101101=>[1,1,1,2,1,2,1,2,1] [12,1,6,3,8,5,10,7,2,9,4,11]=>10101011010=>[1,2,2,2,1,2,2] [12,1,8,3,10,5,6,7,2,9,4,11]=>10101001010=>[1,2,2,3,2,2] [12,1,10,3,2,9,6,5,8,7,4,11]=>10110110110=>[1,2,1,2,1,2,1,2] [8,1,2,3,4,5,6,7,10,9,12,11]=>10000000101=>[1,8,2,1] [8,1,2,3,4,5,6,7,12,9,10,11]=>10000000100=>[1,8,3] [10,1,8,3,4,5,2,7,6,9,12,11]=>10100101001=>[1,2,3,2,3,1] [12,1,10,3,4,5,2,7,8,9,6,11]=>10100100010=>[1,2,3,4,2] [12,11,2,7,4,3,6,5,8,1,10,9]=>11011010101=>[1,1,2,1,2,2,2,1] [12,1,10,7,4,3,6,5,2,9,8,11]=>10111011010=>[1,2,1,1,2,1,2,2] [10,1,2,3,4,5,6,7,8,9,12,11]=>10000000001=>[1,10,1] [12,1,2,9,4,5,6,3,8,7,10,11]=>10010010100=>[1,3,3,2,3] [12,1,2,3,4,5,6,7,8,9,10,11]=>10000000000=>[1,11] [1,5,4,8,7,3,2,6]=>0101110=>[2,2,1,1,2] [4,3,1,2,6,5,7,8]=>1100100=>[1,1,3,3] [7,1,4,5,8,3,6,2]=>1000101=>[1,4,2,1] [7,5,8,1,2,4,6,3]=>1010001=>[1,2,4,1] [6,1,5,2,8,7,4,3]=>1010111=>[1,2,2,1,1,1] [8,4,6,3,1,2,7,5]=>1011001=>[1,2,1,3,1] [3,8,6,4,1,5,7,2]=>0111001=>[2,1,1,3,1] [8,7,1,4,5,2,3,6]=>1100100=>[1,1,3,3] [3,8,6,4,5,1,7,2]=>0110101=>[2,1,2,2,1] [3,7,6,4,5,1,2,8]=>0110100=>[2,1,2,3] [7,4,6,3,1,2,8,5]=>1011001=>[1,2,1,3,1] [4,6,2,5,7,8,1,3]=>0100010=>[2,4,2] [4,6,3,5,7,1,2,8]=>0100100=>[2,3,3] [4,7,3,5,8,6,1,2]=>0100110=>[2,3,1,2] [4,8,3,5,7,1,6,2]=>0100101=>[2,3,2,1] [4,8,3,5,6,1,2,7]=>0100100=>[2,3,3] [4,7,2,5,6,8,1,3]=>0100010=>[2,4,2] [4,8,2,5,6,7,1,3]=>0100010=>[2,4,2] [1,4,7,2,6,5,8,3]=>0010101=>[3,2,2,1] [1,5,7,2,6,4,8,3]=>0010101=>[3,2,2,1] [7,2,4,6,1,8,3,5]=>1001010=>[1,3,2,2] [1,2,7,8,3,5,4,6]=>0001010=>[4,2,2] [1,7,6,2,8,5,4,3]=>0110111=>[2,1,2,1,1,1] [1,2,7,8,3,4,6,5]=>0001001=>[4,3,1] [1,7,6,8,3,4,2,5]=>0101010=>[2,2,2,2] [3,4,1,7,8,6,5,2]=>0100111=>[2,3,1,1,1] [2,4,8,6,5,7,1,3]=>0011010=>[3,1,2,2] [5,1,3,4,8,2,7,6]=>1000101=>[1,4,2,1] [8,7,3,6,1,4,2,5]=>1101010=>[1,1,2,2,2] [6,5,1,8,3,4,7,2]=>1101001=>[1,1,2,3,1] [8,2,1,5,6,4,7,3]=>1100101=>[1,1,3,2,1] [7,5,6,1,3,4,8,2]=>1010001=>[1,2,4,1] [5,7,2,4,6,1,8,3]=>0100101=>[2,3,2,1] [2,1,5,6,3,8,7,4]=>1001011=>[1,3,2,1,1] [3,2,7,5,8,6,4,1]=>1010111=>[1,2,2,1,1,1] [2,4,5,3,8,1,7,6]=>0010101=>[3,2,2,1] [7,2,5,4,3,8,6,1]=>1011011=>[1,2,1,2,1,1] [8,5,3,1,2,6,7,4]=>1110001=>[1,1,1,4,1] [7,2,5,1,3,6,8,4]=>1010001=>[1,2,4,1] [8,4,7,3,1,2,6,5]=>1011001=>[1,2,1,3,1] [1,8,7,3,5,2,6,4]=>0110101=>[2,1,2,2,1] [2,4,8,3,6,5,7,1]=>0010101=>[3,2,2,1] [3,1,8,2,6,5,7,4]=>1010101=>[1,2,2,2,1] [4,6,7,8,5,2,1,3]=>0001110=>[4,1,1,2] [4,7,2,1,8,6,5,3]=>0110111=>[2,1,2,1,1,1] [5,6,2,8,4,1,7,3]=>0101101=>[2,2,1,2,1] [5,7,2,4,8,6,1,3]=>0100110=>[2,3,1,2] [6,7,2,4,8,5,1,3]=>0100110=>[2,3,1,2] [6,7,3,2,8,5,1,4]=>0110110=>[2,1,2,1,2] [7,2,3,1,8,6,5,4]=>1010111=>[1,2,2,1,1,1] [7,2,8,3,5,6,1,4]=>1010010=>[1,2,3,2] [7,2,3,8,4,6,1,5]=>1001010=>[1,3,2,2] [1,7,3,4,8,5,2,6]=>0100110=>[2,3,1,2] [1,7,3,8,5,4,2,6]=>0101110=>[2,2,1,1,2] [7,2,8,4,5,3,1,6]=>1010110=>[1,2,2,1,2] [2,8,6,4,3,1,7,5]=>0111101=>[2,1,1,1,2,1] [1,7,3,4,8,2,5,6]=>0100100=>[2,3,3] [1,5,8,3,4,6,2,7]=>0010010=>[3,3,2] [1,3,8,4,2,5,7,6]=>0011001=>[3,1,3,1] [1,4,7,6,2,3,8,5]=>0011001=>[3,1,3,1] [1,8,4,6,7,2,3,5]=>0100100=>[2,3,3] [1,4,2,3,7,8,6,5]=>0100011=>[2,4,1,1] [5,7,1,6,4,8,3,2]=>0101011=>[2,2,2,1,1] [1,2,9,7,5,3,10,8,6,4]=>001110111=>[3,1,1,2,1,1,1] [7,4,5,8,1,3,6,2]=>1001001=>[1,3,3,1] [1,4,3,6,2,5,8,7]=>0101001=>[2,2,3,1] [1,4,6,3,2,5,8,7]=>0011001=>[3,1,3,1] [1,3,6,5,8,2,4,7]=>0010100=>[3,2,3] [1,4,6,3,2,8,5,7]=>0011010=>[3,1,2,2] [6,8,4,1,5,7,2,3]=>0110010=>[2,1,3,2] [5,2,6,7,4,1,8,3]=>1001101=>[1,3,1,2,1] [8,5,6,4,1,7,3,2]=>1011011=>[1,2,1,2,1,1] [7,8,3,1,6,4,5,2]=>0110101=>[2,1,2,2,1] [5,8,2,6,3,1,7,4]=>0101101=>[2,2,1,2,1] [4,5,8,1,6,3,7,2]=>0010101=>[3,2,2,1] [8,1,4,6,2,5,7,3]=>1001001=>[1,3,3,1] [4,5,8,1,6,2,7,3]=>0010101=>[3,2,2,1] [5,2,6,8,1,4,3,7]=>1001010=>[1,3,2,2] [6,7,3,8,2,1,4,5]=>0101100=>[2,2,1,3] [2,4,1,5,6,7,8,10,3,9]=>010000010=>[2,6,2] [2,7,3,5,4,1,8,6]=>0101101=>[2,2,1,2,1] [2,6,3,7,4,1,8,5]=>0101101=>[2,2,1,2,1] [2,1,4,8,5,3,7,6]=>1001101=>[1,3,1,2,1] [2,7,3,8,4,1,6,5]=>0101101=>[2,2,1,2,1] [2,6,3,1,5,4,8,7]=>0110101=>[2,1,2,2,1] [1,5,8,3,4,7,2,6]=>0010010=>[3,3,2] [5,3,8,1,4,6,2,7]=>1010010=>[1,2,3,2] [4,5,8,1,3,6,2,7]=>0010010=>[3,3,2] [7,4,6,5,2,8,3,1]=>1011011=>[1,2,1,2,1,1] [4,1,3,8,5,7,6,2]=>1001011=>[1,3,2,1,1] [4,1,3,7,2,8,6,5]=>1001011=>[1,3,2,1,1] [4,6,3,1,7,2,8,5]=>0110101=>[2,1,2,2,1] [7,2,6,3,1,8,5,4]=>1011011=>[1,2,1,2,1,1] [4,8,7,2,5,3,1,6]=>0110110=>[2,1,2,1,2] [1,6,3,2,8,7,4,5]=>0110110=>[2,1,2,1,2] [2,8,1,7,5,4,6,3]=>0101101=>[2,2,1,2,1] [6,8,3,1,5,7,2,4]=>0110010=>[2,1,3,2] [8,7,3,1,2,5,6,4]=>1110001=>[1,1,1,4,1] [1,3,5,7,2,8,4,9,6]=>00010101=>[4,2,2,1] [1,3,5,6,2,7,4,9,8]=>00010101=>[4,2,2,1] [1,3,4,5,2,7,6,9,8]=>00010101=>[4,2,2,1] [3,5,7,1,2,4,6,9,8]=>00100001=>[3,5,1] [1,3,5,7,2,9,4,6,8,10]=>000101000=>[4,2,4] [3,5,7,8,1,9,2,4,6]=>00010100=>[4,2,3] [1,3,5,7,2,9,4,10,6,8]=>000101010=>[4,2,2,2] [3,5,6,7,1,8,2,9,4]=>00010101=>[4,2,2,1] [1,3,5,7,2,8,4,9,6,10]=>000101010=>[4,2,2,2] [1,3,5,6,2,7,4,9,8,10]=>000101010=>[4,2,2,2] [1,3,4,5,2,7,6,9,8,10]=>000101010=>[4,2,2,2] [5,4,3,6,1,7,8,2]=>1101001=>[1,1,2,3,1] [3,2,7,8,5,6,1,4]=>1001010=>[1,3,2,2] [4,8,3,2,1,7,5,6]=>0111010=>[2,1,1,2,2] [5,1,2,6,4,7,8,3]=>1001001=>[1,3,3,1] [7,1,2,3,4,9,6,8,5]=>10000101=>[1,5,2,1] [7,1,2,3,4,8,6,9,5]=>10000101=>[1,5,2,1] [8,1,2,3,9,5,6,7,4]=>10001001=>[1,4,3,1] [7,1,2,3,9,5,6,8,4]=>10001001=>[1,4,3,1] [7,1,2,3,8,5,6,9,4]=>10001001=>[1,4,3,1] [6,1,2,3,8,5,9,7,4]=>10001011=>[1,4,2,1,1] [6,1,2,3,7,5,8,9,4]=>10001001=>[1,4,3,1] [6,1,2,8,4,5,9,7,3]=>10010011=>[1,3,3,1,1] [6,1,2,7,4,5,8,9,3]=>10010001=>[1,3,4,1] [5,1,2,7,4,9,6,8,3]=>10010101=>[1,3,2,2,1] [5,1,2,7,4,8,6,9,3]=>10010101=>[1,3,2,2,1] [5,1,2,6,4,7,8,9,3]=>10010001=>[1,3,4,1] [4,1,6,3,8,5,9,7,2]=>10101011=>[1,2,2,2,1,1] [4,1,6,3,7,5,8,9,2]=>10101001=>[1,2,2,3,1] [4,1,5,3,6,7,8,9,2]=>10100001=>[1,2,5,1] [10,1,2,3,4,5,7,8,9,6]=>100000001=>[1,8,1] [8,1,2,3,4,5,10,7,9,6]=>100000101=>[1,6,2,1] [8,1,2,3,4,5,9,7,10,6]=>100000101=>[1,6,2,1] [9,1,2,3,4,10,6,7,8,5]=>100001001=>[1,5,3,1] [8,1,2,3,4,10,6,7,9,5]=>100001001=>[1,5,3,1] [8,1,2,3,4,9,6,7,10,5]=>100001001=>[1,5,3,1] [7,1,2,3,4,9,6,10,8,5]=>100001011=>[1,5,2,1,1] [7,1,2,3,4,8,6,9,10,5]=>100001001=>[1,5,3,1] [8,1,2,3,10,5,6,7,9,4]=>100010001=>[1,4,4,1] [8,1,2,3,9,5,6,7,10,4]=>100010001=>[1,4,4,1] [7,1,2,3,10,5,6,8,9,4]=>100010001=>[1,4,4,1] [7,1,2,3,8,5,6,9,10,4]=>100010001=>[1,4,4,1] [6,1,2,3,8,5,10,7,9,4]=>100010101=>[1,4,2,2,1] [6,1,2,3,8,5,9,7,10,4]=>100010101=>[1,4,2,2,1] [6,1,2,3,7,5,8,9,10,4]=>100010001=>[1,4,4,1] [6,1,2,9,4,5,10,7,8,3]=>100100101=>[1,3,3,2,1] [6,1,2,8,4,5,10,7,9,3]=>100100101=>[1,3,3,2,1] [6,1,2,8,4,5,9,7,10,3]=>100100101=>[1,3,3,2,1] [6,1,2,7,4,5,8,9,10,3]=>100100001=>[1,3,5,1] [5,1,2,7,4,9,6,10,8,3]=>100101011=>[1,3,2,2,1,1] [5,1,2,7,4,8,6,9,10,3]=>100101001=>[1,3,2,3,1] [5,1,2,6,4,7,8,9,10,3]=>100100001=>[1,3,5,1] [4,1,6,3,8,5,9,7,10,2]=>101010101=>[1,2,2,2,2,1] [4,1,6,3,7,5,8,9,10,2]=>101010001=>[1,2,2,4,1] [4,1,5,3,6,7,8,9,10,2]=>101000001=>[1,2,6,1] [1,9,8,7,6,4,3,2,5]=>01111110=>[2,1,1,1,1,1,2] [1,9,8,7,5,4,3,2,6]=>01111110=>[2,1,1,1,1,1,2] [1,9,8,6,5,4,3,2,7]=>01111110=>[2,1,1,1,1,1,2] [1,9,7,6,5,4,3,2,8]=>01111110=>[2,1,1,1,1,1,2] [1,9,8,7,6,5,2,3,4]=>01111100=>[2,1,1,1,1,3] [1,10,9,8,7,6,5,3,2,4]=>011111110=>[2,1,1,1,1,1,1,2] [1,9,8,7,6,3,4,2,5]=>01111010=>[2,1,1,1,2,2] [1,10,9,8,7,6,4,3,2,5]=>011111110=>[2,1,1,1,1,1,1,2] [1,9,8,7,4,5,3,2,6]=>01110110=>[2,1,1,2,1,2] [1,10,9,8,7,5,4,3,2,6]=>011111110=>[2,1,1,1,1,1,1,2] [1,9,8,5,6,4,3,2,7]=>01101110=>[2,1,2,1,1,2] [1,10,9,8,6,5,4,3,2,7]=>011111110=>[2,1,1,1,1,1,1,2] [1,8,4,5,6,3,2,7]=>0100110=>[2,3,1,2] [1,9,6,7,5,4,3,2,8]=>01011110=>[2,2,1,1,1,2] [1,10,9,7,6,5,4,3,2,8]=>011111110=>[2,1,1,1,1,1,1,2] [1,7,8,6,5,4,3,2,9]=>00111110=>[3,1,1,1,1,2] [1,10,8,7,6,5,4,3,2,9]=>011111110=>[2,1,1,1,1,1,1,2] [8,5,1,7,4,6,3,2]=>1101011=>[1,1,2,2,1,1] [3,4,8,1,6,7,2,5]=>0010010=>[3,3,2] [3,6,7,8,4,1,5,2]=>0001101=>[4,1,2,1] [2,3,7,8,4,6,1,5]=>0001010=>[4,2,2] [1,3,7,8,4,6,2,5]=>0001010=>[4,2,2] [3,1,7,8,4,6,2,5]=>1001010=>[1,3,2,2] [4,3,8,1,6,7,2,5]=>1010010=>[1,2,3,2] [4,8,7,3,6,1,2,5]=>0110100=>[2,1,2,3] [5,8,4,3,7,1,2,6]=>0110100=>[2,1,2,3] [4,1,8,3,7,5,2,6]=>1010110=>[1,2,2,1,2] [2,4,8,3,6,7,1,5]=>0010010=>[3,3,2] [1,6,5,8,7,3,2,4]=>0101110=>[2,2,1,1,2] [5,6,4,8,7,2,1,3]=>0101110=>[2,2,1,1,2] [7,2,6,8,3,5,1,4]=>1001010=>[1,3,2,2] [7,2,8,6,5,3,1,4]=>1011110=>[1,2,1,1,1,2] [4,8,3,7,6,1,2,5]=>0101100=>[2,2,1,3] [2,8,4,7,1,3,6,5]=>0101001=>[2,2,3,1] [8,9,2,3,4,5,6,1,7]=>01000010=>[2,5,2] [7,8,9,2,3,4,5,1,6]=>00100010=>[3,4,2] [6,7,8,9,2,3,4,1,5]=>00010010=>[4,3,2] [5,6,7,8,9,2,3,1,4]=>00001010=>[5,2,2] [9,10,2,3,4,5,6,7,1,8]=>010000010=>[2,6,2] [8,9,10,2,3,4,5,6,1,7]=>001000010=>[3,5,2] [7,8,9,2,3,4,1,5,6]=>00100100=>[3,3,3] [7,8,9,10,2,3,4,5,1,6]=>000100010=>[4,4,2] [6,7,8,9,2,3,1,4,5]=>00010100=>[4,2,3] [5,6,7,8,9,10,2,3,1,4]=>000001010=>[6,2,2] [4,5,6,7,8,1,9,2,3]=>00001010=>[5,2,2] [4,5,6,7,8,9,10,2,1,3]=>000000110=>[7,1,2] [6,8,3,4,5,2,1,7]=>0100110=>[2,3,1,2] [3,7,1,4,5,6,2,8]=>0100010=>[2,4,2] [7,9,3,4,5,6,2,1,8]=>01000110=>[2,4,1,2] [3,9,2,1,5,6,7,8,4]=>01100001=>[2,1,5,1] [3,6,1,4,5,2,7,8]=>0100100=>[2,3,3] [3,8,1,4,5,6,7,2,9]=>01000010=>[2,5,2] [8,10,3,4,5,6,7,2,1,9]=>010000110=>[2,5,1,2] [6,9,3,4,5,2,7,1,8]=>01001010=>[2,3,2,2] [3,8,2,4,5,1,7,6]=>0100101=>[2,3,2,1] [3,9,2,4,1,6,7,8,5]=>01010001=>[2,2,4,1] [3,7,2,1,5,6,4,8]=>0110010=>[2,1,3,2] [3,6,8,1,5,4,7,2]=>0010101=>[3,2,2,1] [3,8,9,1,5,6,7,4,2]=>00100011=>[3,4,1,1] [3,10,2,1,5,6,7,8,9,4]=>011000001=>[2,1,6,1] [3,7,1,4,5,6,2,8,9]=>01000100=>[2,4,3] [3,9,1,4,5,6,7,8,2,10]=>010000010=>[2,6,2] [1,7,4,6,3,5,2,8]=>0101010=>[2,2,2,2] [1,3,6,5,7,2,4,8]=>0010100=>[3,2,3] [1,7,2,5,6,4,3,8]=>0100110=>[2,3,1,2] [1,6,8,5,4,3,7,2]=>0011101=>[3,1,1,2,1] [2,5,7,8,4,3,1,6]=>0001110=>[4,1,1,2] [6,8,5,3,2,4,1,7]=>0111010=>[2,1,1,2,2] [1,6,8,5,3,2,7,4]=>0011101=>[3,1,1,2,1] [4,6,1,8,7,5,3,2]=>0101111=>[2,2,1,1,1,1] [1,3,7,6,8,5,2,4]=>0010110=>[3,2,1,2] [4,1,7,8,6,5,2,3]=>1001110=>[1,3,1,1,2] [5,4,3,7,6,1,2,8]=>1101100=>[1,1,2,1,3] [4,7,6,1,2,3,8,5]=>0110001=>[2,1,4,1] [4,5,2,6,7,8,1,3]=>0100010=>[2,4,2] [2,8,7,6,5,4,3,1,9]=>01111110=>[2,1,1,1,1,1,2] [2,1,4,9,8,7,6,5,3]=>10011111=>[1,3,1,1,1,1,1] [3,7,6,5,4,2,1,9,8]=>01111101=>[2,1,1,1,1,2,1] [3,2,1,6,9,8,7,5,4]=>11001111=>[1,1,3,1,1,1,1] [4,6,5,3,2,1,9,8,7]=>01111011=>[2,1,1,1,2,1,1] [1,7,6,2,3,8,5,4]=>0110011=>[2,1,3,1,1] [4,5,1,3,7,6,2,8]=>0100110=>[2,3,1,2] [7,2,3,8,6,4,5,1]=>1001101=>[1,3,1,2,1] [1,5,4,3,8,6,2,7]=>0110110=>[2,1,2,1,2] [1,3,7,5,8,4,6,2]=>0010101=>[3,2,2,1] [7,8,1,5,3,4,6,2]=>0101001=>[2,2,3,1] [7,3,5,4,1,6,2,8]=>1011010=>[1,2,1,2,2] [3,5,7,1,6,4,2,8]=>0010110=>[3,2,1,2] [3,7,5,6,1,4,2,8]=>0101010=>[2,2,2,2] [1,7,5,6,3,4,8,2]=>0101001=>[2,2,3,1] [5,3,1,2,7,8,4,6]=>1100010=>[1,1,4,2] [5,1,3,7,8,2,6,4]=>1000101=>[1,4,2,1] [5,8,1,2,7,6,4,3]=>0100111=>[2,3,1,1,1] [1,6,7,4,5,3,2,8]=>0010110=>[3,2,1,2] [1,4,2,6,7,5,3,8]=>0100110=>[2,3,1,2] [1,8,2,4,6,5,3,7]=>0100110=>[2,3,1,2] [7,2,1,6,4,3,8,5]=>1101101=>[1,1,2,1,2,1] [1,4,8,7,2,3,6,5]=>0011001=>[3,1,3,1] [4,1,3,6,5,8,2,7]=>1001010=>[1,3,2,2] [4,3,7,1,5,8,2,6]=>1010010=>[1,2,3,2] [1,8,6,5,2,7,4,3]=>0111011=>[2,1,1,2,1,1] [1,8,6,2,7,4,3,5]=>0110110=>[2,1,2,1,2] [7,2,6,4,1,8,5,3]=>1011011=>[1,2,1,2,1,1] [6,4,1,8,3,7,5,2]=>1101011=>[1,1,2,2,1,1] [4,5,8,7,3,6,2,1]=>0011011=>[3,1,2,1,1] [3,5,4,1,7,8,6,2]=>0110011=>[2,1,3,1,1] [2,9,8,7,6,1,5,4,3]=>01111011=>[2,1,1,1,2,1,1] [6,8,7,2,1,5,4,3]=>0111011=>[2,1,1,2,1,1] [4,9,8,7,6,5,2,1,3]=>01111110=>[2,1,1,1,1,1,2] [5,9,8,7,6,2,1,4,3]=>01111101=>[2,1,1,1,1,2,1] [2,10,9,8,7,6,1,5,4,3]=>011111011=>[2,1,1,1,1,2,1,1] [6,9,8,7,2,1,5,4,3]=>01111011=>[2,1,1,1,2,1,1] [7,9,8,2,1,6,5,4,3]=>01110111=>[2,1,1,2,1,1,1] [2,10,9,8,1,7,6,5,4,3]=>011101111=>[2,1,1,2,1,1,1,1] [8,9,2,1,7,6,5,4,3]=>01101111=>[2,1,2,1,1,1,1] [2,10,9,1,8,7,6,5,4,3]=>011011111=>[2,1,2,1,1,1,1,1] [8,1,6,3,7,5,4,2]=>1010111=>[1,2,2,1,1,1] [8,5,1,3,7,6,4,2]=>1100111=>[1,1,3,1,1,1] [8,3,6,5,4,2,1,7]=>1011110=>[1,2,1,1,1,2] [6,1,3,5,7,2,8,4]=>1000101=>[1,4,2,1] [1,6,7,5,8,4,2,3]=>0010110=>[3,2,1,2] [7,4,1,6,5,2,8,3]=>1101101=>[1,1,2,1,2,1] [7,4,2,8,6,5,3,1]=>1101111=>[1,1,2,1,1,1,1] [6,8,4,7,3,2,5,1]=>0101101=>[2,2,1,2,1] [5,8,7,3,2,1,6,4]=>0111101=>[2,1,1,1,2,1] [5,8,7,2,6,4,3,1]=>0110111=>[2,1,2,1,1,1] [6,8,7,3,5,1,4,2]=>0110101=>[2,1,2,2,1] [7,2,5,6,8,3,4,1]=>1000101=>[1,4,2,1] [1,6,5,7,8,3,2,4]=>0100110=>[2,3,1,2] [8,6,7,2,3,5,4,1]=>1010011=>[1,2,3,1,1] [5,4,8,6,7,3,1,2]=>1010110=>[1,2,2,1,2] [4,2,7,3,1,6,8,5]=>1011001=>[1,2,1,3,1] [7,3,6,4,2,1,8,5]=>1011101=>[1,2,1,1,2,1] [4,8,5,2,7,3,1,6]=>0110110=>[2,1,2,1,2] [6,4,3,1,8,5,2,7]=>1110110=>[1,1,1,2,1,2] [7,4,3,1,5,8,6,2]=>1110011=>[1,1,1,3,1,1] [7,4,8,6,5,3,1,2]=>1011110=>[1,2,1,1,1,2] [4,8,5,2,6,7,3,1]=>0110011=>[2,1,3,1,1] [7,3,2,1,8,5,6,4]=>1110101=>[1,1,1,2,2,1] [7,8,1,9,2,3,4,5,6]=>01010000=>[2,2,5] [6,7,8,1,9,2,3,4,5]=>00101000=>[3,2,4] [5,6,7,8,1,9,2,3,4]=>00010100=>[4,2,3] [9,1,2,3,4,5,7,6,8]=>10000010=>[1,6,2] [2,1,3,4,5,9,6,7,8]=>10000100=>[1,5,3] [1,5,7,2,4,3,8,6]=>0010101=>[3,2,2,1] [1,2,7,5,8,4,3,6]=>0010110=>[3,2,1,2] [5,1,3,8,2,7,4,6]=>1001010=>[1,3,2,2] [5,7,1,3,2,8,4,6]=>0101010=>[2,2,2,2] [7,1,6,3,2,8,4,5]=>1011010=>[1,2,1,2,2] [8,1,7,2,3,6,5,4]=>1010011=>[1,2,3,1,1] [7,1,2,6,4,3,8,5]=>1001101=>[1,3,1,2,1] [1,4,7,8,3,2,5,6]=>0001100=>[4,1,3] [8,7,1,3,2,4,6,5]=>1101001=>[1,1,2,3,1] [8,1,6,3,2,4,7,5]=>1011001=>[1,2,1,3,1] [1,8,2,7,6,3,5,4]=>0101101=>[2,2,1,2,1] [8,1,6,3,2,7,4,5]=>1011010=>[1,2,1,2,2] [8,2,1,7,6,3,4,5]=>1101100=>[1,1,2,1,3] [6,8,4,3,5,1,2,7]=>0110100=>[2,1,2,3] [8,7,3,5,4,1,2,6]=>1101100=>[1,1,2,1,3] [6,3,8,5,7,2,1,4]=>1010110=>[1,2,2,1,2] [8,7,3,6,4,1,2,5]=>1101100=>[1,1,2,1,3] [5,2,7,4,6,1,3,8]=>1010100=>[1,2,2,3] [8,7,2,3,5,1,4,6]=>1100100=>[1,1,3,3] [7,6,3,4,1,8,2,5]=>1101010=>[1,1,2,2,2] [6,3,5,2,8,1,4,7]=>1010100=>[1,2,2,3] [6,4,5,3,1,7,2,8]=>1011010=>[1,2,1,2,2] [8,7,2,4,3,1,5,6]=>1101100=>[1,1,2,1,3] [7,6,2,3,1,4,8,5]=>1101001=>[1,1,2,3,1] [4,7,6,2,3,1,5,8]=>0110100=>[2,1,2,3] [4,7,6,1,3,2,8,5]=>0110101=>[2,1,2,2,1] [7,2,6,5,4,3,1,9,8]=>10111101=>[1,2,1,1,1,2,1] [3,2,1,9,5,8,7,6,4]=>11010111=>[1,1,2,2,1,1,1] [6,3,5,4,2,1,9,8,7]=>10111011=>[1,2,1,1,2,1,1] [4,3,2,1,9,7,8,6,5]=>11101011=>[1,1,1,2,2,1,1] [2,8,1,3,5,6,4,7]=>0100010=>[2,4,2] [2,6,3,4,7,8,5,1]=>0100011=>[2,4,1,1] [7,6,3,1,8,5,2,4]=>1110110=>[1,1,1,2,1,2] [7,2,1,3,6,8,5,4]=>1100011=>[1,1,4,1,1] [7,6,3,8,1,5,2,4]=>1101010=>[1,1,2,2,2] [1,6,4,7,8,5,3,2]=>0100111=>[2,3,1,1,1] [7,2,5,8,6,1,3,4]=>1001100=>[1,3,1,3] [4,1,3,6,2,5,8,7]=>1001001=>[1,3,3,1] [7,1,4,6,3,2,5,8]=>1001100=>[1,3,1,3] [7,4,5,8,6,2,3,1]=>1001101=>[1,3,1,2,1] [6,7,2,3,8,4,1,5]=>0100110=>[2,3,1,2] [1,5,2,6,8,7,4,3]=>0100111=>[2,3,1,1,1] [1,2,3,4,5,6,8,9,7,10]=>000000010=>[8,2] [1,8,3,7,5,2,6,4]=>0101101=>[2,2,1,2,1] [8,1,3,6,5,2,7,4]=>1001101=>[1,3,1,2,1] [7,1,3,8,5,2,6,4]=>1001101=>[1,3,1,2,1] [4,7,1,5,2,6,8,3]=>0101001=>[2,2,3,1] [7,4,1,5,2,6,8,3]=>1101001=>[1,1,2,3,1] [3,1,6,7,5,2,8,4]=>1001101=>[1,3,1,2,1] [8,6,2,4,5,1,7,3]=>1100101=>[1,1,3,2,1] [8,6,7,5,2,1,4,3]=>1011101=>[1,2,1,1,2,1] [7,1,4,5,2,6,8,3]=>1001001=>[1,3,3,1] [4,1,6,2,3,8,7,5]=>1010011=>[1,2,3,1,1] [4,1,7,6,5,2,8,3]=>1011101=>[1,2,1,1,2,1] [8,4,1,5,6,2,7,3]=>1100101=>[1,1,3,2,1] [8,4,5,3,6,1,7,2]=>1010101=>[1,2,2,2,1] [2,8,4,7,3,5,6,1]=>0101001=>[2,2,3,1] [1,5,4,8,3,2,6,7]=>0101100=>[2,2,1,3] [1,5,7,6,3,8,2,4]=>0011010=>[3,1,2,2] [2,6,3,1,7,8,4,5]=>0110010=>[2,1,3,2] [2,1,7,8,3,5,4,6]=>1001010=>[1,3,2,2] [1,5,8,6,7,4,2,3]=>0010110=>[3,2,1,2] [8,7,1,3,5,2,6,4]=>1100101=>[1,1,3,2,1] [3,7,8,2,5,4,1,6]=>0010110=>[3,2,1,2] [4,7,6,5,8,1,3,2]=>0110101=>[2,1,2,2,1] [4,7,8,6,2,1,5,3]=>0011101=>[3,1,1,2,1] [4,8,6,3,2,1,7,5]=>0111101=>[2,1,1,1,2,1] [5,1,4,7,6,8,3,2]=>1001011=>[1,3,2,1,1] [5,6,4,7,1,8,3,2]=>0101011=>[2,2,2,1,1] [5,3,7,4,6,1,8,2]=>1010101=>[1,2,2,2,1] [4,1,5,7,8,6,3,2]=>1000111=>[1,4,1,1,1] [3,6,7,1,5,4,8,2]=>0010101=>[3,2,2,1] [3,6,4,7,5,8,2,1]=>0101011=>[2,2,2,1,1] [9,1,2,3,4,8,6,5,7]=>10000110=>[1,5,1,2] [9,1,2,3,8,5,6,4,7]=>10001010=>[1,4,2,2] [8,1,2,9,4,5,6,3,7]=>10010010=>[1,3,3,2] [9,1,8,3,4,5,6,2,7]=>10100010=>[1,2,4,2] [7,1,2,3,4,9,5,8,6]=>10000101=>[1,5,2,1] [10,1,2,3,4,5,9,7,6,8]=>100000110=>[1,6,1,2] [6,1,2,3,8,4,5,9,7]=>10001001=>[1,4,3,1] [10,1,2,3,4,9,6,7,5,8]=>100001010=>[1,5,2,2] [5,1,2,8,3,4,6,9,7]=>10010001=>[1,3,4,1] [9,1,2,3,10,5,6,7,4,8]=>100010010=>[1,4,3,2] [4,1,9,2,3,5,6,8,7]=>10100001=>[1,2,5,1] [10,1,2,9,4,5,6,7,3,8]=>100100010=>[1,3,4,2] [3,8,1,2,4,5,6,9,7]=>01000001=>[2,6,1] [10,1,9,3,4,5,6,7,2,8]=>101000010=>[1,2,5,2] [8,2,1,3,4,5,6,9,7]=>11000001=>[1,1,6,1] [8,1,2,3,4,5,10,6,9,7]=>100000101=>[1,6,2,1] [11,1,2,3,4,5,6,10,8,7,9]=>1000000110=>[1,7,1,2] [9,1,2,3,8,5,4,7,6]=>10001101=>[1,4,1,2,1] [7,1,2,3,4,9,5,6,10,8]=>100001001=>[1,5,3,1] [11,1,2,3,4,5,10,7,8,6,9]=>1000001010=>[1,6,2,2] [6,1,2,3,9,4,7,8,5]=>10001001=>[1,4,3,1] [6,1,2,3,9,4,5,7,10,8]=>100010001=>[1,4,4,1] [5,1,2,8,3,6,4,9,7]=>10010101=>[1,3,2,2,1] [5,1,2,10,3,4,6,7,9,8]=>100100001=>[1,3,5,1] [9,8,2,1,4,5,6,7,3]=>11100001=>[1,1,1,5,1] [8,1,7,3,2,4,5,6]=>1011000=>[1,2,1,4] [4,1,8,2,5,3,6,9,7]=>10101001=>[1,2,2,3,1] [4,1,9,2,3,5,6,7,10,8]=>101000001=>[1,2,6,1] [3,9,1,4,2,5,6,8,7]=>01010001=>[2,2,4,1] [3,9,1,2,4,5,6,7,10,8]=>010000001=>[2,7,1] [10,1,11,3,4,5,6,7,8,2,9]=>1010000010=>[1,2,6,2] [8,2,3,1,4,5,6,9,7]=>10100001=>[1,2,5,1] [10,2,1,3,4,5,6,7,9,8]=>110000001=>[1,1,7,1] [11,10,2,3,4,5,6,7,8,1,9]=>1100000010=>[1,1,7,2] [6,4,7,1,5,2,8,3]=>1010101=>[1,2,2,2,1] [4,8,1,3,5,2,7,6]=>0100101=>[2,3,2,1] [1,6,5,2,8,7,4,3]=>0110111=>[2,1,2,1,1,1] [2,3,4,5,7,8,1,9,6]=>00000101=>[6,2,1] [1,3,4,5,2,6,7,8,9]=>00010000=>[4,5] [1,2,3,4,5,7,8,6,9,10]=>000000100=>[7,3] [2,3,4,5,7,9,1,6,8]=>00000100=>[6,3] [1,2,3,4,5,7,8,9,6,10]=>000000010=>[8,2] [2,3,4,5,1,6,7,9,8]=>00010001=>[4,4,1] [4,5,6,1,7,8,9,2,3]=>00100010=>[3,4,2] [2,1,4,5,3,6,7,8,9]=>10010000=>[1,3,5] [2,4,5,6,1,7,8,9,10,3]=>000100001=>[4,5,1] [1,3,2,5,4,6,7,8,9]=>01010000=>[2,2,5] [2,3,5,6,1,7,8,9,10,4]=>000100001=>[4,5,1] [4,1,7,2,5,8,3,6]=>1010010=>[1,2,3,2] [3,2,5,8,6,1,7,4]=>1001101=>[1,3,1,2,1] [4,5,1,7,2,8,6,3]=>0101011=>[2,2,2,1,1] [2,8,5,3,6,7,4,1]=>0110011=>[2,1,3,1,1] [2,3,4,5,9,8,6,7,1]=>00001101=>[5,1,2,1] [2,3,4,9,7,5,8,6,1]=>00011011=>[4,1,2,1,1] [2,3,9,6,4,7,8,5,1]=>00110011=>[3,1,3,1,1] [8,3,5,2,6,7,4,1]=>1010011=>[1,2,3,1,1] [2,8,6,3,4,7,5,1]=>0110011=>[2,1,3,1,1] [2,9,5,3,6,7,8,4,1]=>01100011=>[2,1,4,1,1] [9,4,2,5,6,7,8,3,1]=>11000011=>[1,1,5,1,1] [6,4,7,2,5,3,1,8]=>1010110=>[1,2,2,1,2] [7,1,4,3,6,8,2,5]=>1010010=>[1,2,3,2] [6,3,1,5,4,8,7,2]=>1101011=>[1,1,2,2,1,1] [4,1,6,2,8,3,5,7,9]=>10101000=>[1,2,2,4] [4,1,6,2,8,3,9,5,7]=>10101010=>[1,2,2,2,2] [4,1,6,2,7,3,8,5,9]=>10101010=>[1,2,2,2,2] [7,1,3,8,5,4,2,6]=>1001110=>[1,3,1,1,2] [4,8,7,3,5,1,6,2]=>0110101=>[2,1,2,2,1] [5,3,8,7,1,6,2,4]=>1011010=>[1,2,1,2,2] [3,4,1,6,2,8,7,5]=>0101011=>[2,2,2,1,1] [5,2,6,7,4,3,1,8]=>1001110=>[1,3,1,1,2] [8,5,1,6,4,3,2,7]=>1101110=>[1,1,2,1,1,2] [8,6,3,5,2,7,1,4]=>1101010=>[1,1,2,2,2] [8,4,6,2,1,5,7,3]=>1011001=>[1,2,1,3,1] [8,5,2,1,6,4,7,3]=>1110101=>[1,1,1,2,2,1] [1,7,2,8,5,4,6,3]=>0101101=>[2,2,1,2,1] [6,7,1,4,8,5,3,2]=>0100111=>[2,3,1,1,1] [7,3,2,8,5,1,4,6]=>1101100=>[1,1,2,1,3] [4,1,7,3,2,8,5,6]=>1011010=>[1,2,1,2,2] [8,3,5,2,4,7,1,6]=>1010010=>[1,2,3,2] [4,3,7,8,6,1,5,2]=>1001101=>[1,3,1,2,1] [1,2,6,3,7,8,5,4]=>0010011=>[3,3,1,1] [6,1,3,7,8,5,4,2]=>1000111=>[1,4,1,1,1] [8,7,9,1,4,5,6,2,3]=>10100010=>[1,2,4,2] [7,6,9,1,4,5,2,8,3]=>10100101=>[1,2,3,2,1] [9,8,10,1,4,5,6,7,2,3]=>101000010=>[1,2,5,2] [11,10,2,1,4,5,6,7,8,9,3]=>1110000001=>[1,1,1,7,1] [2,6,4,7,5,3,1,8]=>0101110=>[2,2,1,1,2] [5,6,3,7,2,8,4,1]=>0101011=>[2,2,2,1,1] [4,5,1,8,6,2,7,3]=>0101101=>[2,2,1,2,1] [5,6,1,8,7,2,3,4]=>0101100=>[2,2,1,3] [4,5,1,6,8,7,3,2]=>0100111=>[2,3,1,1,1] [3,9,2,4,5,6,7,8,1]=>01000001=>[2,6,1] [3,8,6,1,5,2,4,7]=>0110100=>[2,1,2,3] [3,2,8,1,5,6,4,7]=>1010010=>[1,2,3,2] [5,8,7,3,2,1,4,6]=>0111100=>[2,1,1,1,3] [3,4,7,6,8,2,1,5]=>0010110=>[3,2,1,2] [2,8,1,3,7,5,6,4]=>0100101=>[2,3,2,1] [1,8,7,2,5,6,4,3]=>0110011=>[2,1,3,1,1] [3,4,7,1,5,8,2,6]=>0010010=>[3,3,2] [4,2,7,1,5,8,3,6]=>1010010=>[1,2,3,2] [1,3,5,2,4,6,7,8,9]=>00100000=>[3,6] [4,1,2,3,5,6,8,7,9]=>10000010=>[1,6,2] [1,2,4,7,3,5,6,8,9]=>00010000=>[4,5] [5,1,2,3,4,7,6,8,9]=>10000100=>[1,5,3] [2,4,6,3,5,1,7,8]=>0010100=>[3,2,3] [4,1,6,2,5,8,3,7]=>1010010=>[1,2,3,2] [1,8,2,5,7,3,4,6]=>0100100=>[2,3,3] [1,4,6,3,8,5,2,7]=>0010110=>[3,2,1,2] [4,5,6,3,1,7,2,8]=>0011010=>[3,1,2,2] [3,4,6,2,5,1,7,8]=>0010100=>[3,2,3] [1,4,7,5,2,3,6,8]=>0011000=>[3,1,4] [1,4,6,5,8,2,3,7]=>0010100=>[3,2,3] [1,4,8,3,7,6,2,5]=>0010110=>[3,2,1,2] [1,4,5,3,7,2,6,8]=>0010100=>[3,2,3] [2,5,7,6,8,3,4,1]=>0010101=>[3,2,2,1] [3,1,6,7,2,8,5,4]=>1001011=>[1,3,2,1,1] [1,5,3,6,8,4,7,2]=>0100101=>[2,3,2,1] [6,5,1,3,8,4,7,2]=>1100101=>[1,1,3,2,1] [1,7,4,8,5,3,2,6]=>0101110=>[2,2,1,1,2] [7,3,1,6,8,4,5,2]=>1100101=>[1,1,3,2,1] [8,5,1,4,6,7,3,2]=>1100011=>[1,1,4,1,1] [3,4,7,5,6,8,2,1]=>0010011=>[3,3,1,1] [3,4,7,8,5,2,6,1]=>0001101=>[4,1,2,1] [7,4,2,3,6,5,1,8]=>1100110=>[1,1,3,1,2] [7,2,4,3,1,5,6,8]=>1011000=>[1,2,1,4] [6,3,1,4,8,5,7,2]=>1100101=>[1,1,3,2,1] [6,3,5,4,8,7,1,2]=>1010110=>[1,2,2,1,2] [2,6,4,3,1,7,5,8]=>0111010=>[2,1,1,2,2] [4,8,1,7,5,6,3,2]=>0101011=>[2,2,2,1,1] [1,5,7,2,8,4,6,3]=>0010101=>[3,2,2,1] [5,8,7,2,3,6,4,1]=>0110011=>[2,1,3,1,1] [4,6,5,1,2,3,7,8]=>0110000=>[2,1,5] [1,8,7,5,2,6,3,4]=>0111010=>[2,1,1,2,2] [1,7,6,3,4,5,8,2]=>0110001=>[2,1,4,1] [1,8,7,4,5,6,2,3]=>0110010=>[2,1,3,2] [1,8,7,3,6,4,2,5]=>0110110=>[2,1,2,1,2] [1,4,7,5,8,2,6,3]=>0010101=>[3,2,2,1] [1,4,7,2,3,6,5,8]=>0010010=>[3,3,2] [1,7,2,5,6,3,4,8]=>0100100=>[2,3,3] [1,2,6,5,8,3,4,7]=>0010100=>[3,2,3] [1,5,8,2,6,3,4,7]=>0010100=>[3,2,3] [6,8,3,2,7,5,1,4]=>0110110=>[2,1,2,1,2] [7,3,6,8,1,2,5,4]=>1001001=>[1,3,3,1] [4,1,5,7,2,6,3,8]=>1001010=>[1,3,2,2] [5,7,2,1,3,6,4,8]=>0110010=>[2,1,3,2] [10,11,8,1,2,3,4,5,6,7,9]=>0110000000=>[2,1,8] [7,1,10,9,2,3,4,5,6,8]=>101100000=>[1,2,1,6] [6,7,9,1,2,3,4,5,10,8]=>001000001=>[3,6,1] [2,8,1,9,10,3,4,5,6,7]=>010010000=>[2,3,5] [8,7,1,10,2,3,4,5,6,9]=>110100000=>[1,1,2,6] [3,5,6,7,2,4,1,8]=>0001010=>[4,2,2] [6,4,7,5,2,3,1,8]=>1011010=>[1,2,1,2,2] [1,5,6,4,8,3,2,7]=>0010110=>[3,2,1,2] [2,1,5,6,4,8,3,7]=>1001010=>[1,3,2,2] [5,1,4,7,8,6,2,3]=>1000110=>[1,4,1,2] [1,6,7,2,8,5,4,3]=>0010111=>[3,2,1,1,1] [5,3,2,1,7,8,6,4]=>1110011=>[1,1,1,3,1,1] [7,4,3,8,6,1,5,2]=>1101101=>[1,1,2,1,2,1] [4,3,7,1,5,8,6,2]=>1010011=>[1,2,3,1,1] [8,2,4,5,3,1,7,6]=>1001101=>[1,3,1,2,1] [1,4,3,2,7,5,8,6]=>0110101=>[2,1,2,2,1] [1,5,2,8,6,3,10,9,7,4]=>010110111=>[2,2,1,2,1,1,1] [4,1,5,2,8,6,3,10,9,7]=>101011011=>[1,2,2,1,2,1,1] [1,7,5,2,8,6,3,10,9,4]=>011011011=>[2,1,2,1,2,1,1] [4,1,7,5,2,8,3,10,9,6]=>101101011=>[1,2,1,2,2,1,1] [6,4,1,7,5,2,8,3,10,9]=>110110101=>[1,1,2,1,2,2,1] [3,4,1,7,2,8,5,10,9,6]=>010101011=>[2,2,2,2,1,1] [3,6,4,1,7,2,8,5,10,9]=>011010101=>[2,1,2,2,2,1] [1,5,2,9,8,6,3,10,7,4]=>010111011=>[2,2,1,1,2,1,1] [4,1,5,2,9,8,6,3,10,7]=>101011101=>[1,2,2,1,1,2,1] [1,7,5,2,9,6,3,10,8,4]=>011011011=>[2,1,2,1,2,1,1] [4,1,7,5,2,9,3,10,8,6]=>101101011=>[1,2,1,2,2,1,1] [4,1,9,6,5,2,7,3,10,8]=>101110101=>[1,2,1,1,2,2,1] [3,4,1,7,2,9,5,10,8,6]=>010101011=>[2,2,2,2,1,1] [3,6,1,9,4,2,7,5,10,8]=>010110101=>[2,2,1,2,2,1] [1,8,7,5,2,9,6,3,10,4]=>011101101=>[2,1,1,2,1,2,1] [4,1,8,7,5,2,9,3,10,6]=>101110101=>[1,2,1,1,2,2,1] [6,4,1,8,5,2,9,3,10,7]=>110110101=>[1,1,2,1,2,2,1] [7,6,4,1,8,5,2,9,3,10]=>111011010=>[1,1,1,2,1,2,2] [3,4,1,8,7,2,9,5,10,6]=>010110101=>[2,2,1,2,2,1] [3,6,4,1,8,2,9,5,10,7]=>011010101=>[2,1,2,2,2,1] [3,7,6,4,1,8,2,9,5,10]=>011101010=>[2,1,1,2,2,2] [1,9,6,5,2,7,3,10,8,4]=>011101011=>[2,1,1,2,2,1,1] [6,1,9,4,2,7,3,10,8,5]=>101101011=>[1,2,1,2,2,1,1] [5,4,1,9,6,2,7,3,10,8]=>110110101=>[1,1,2,1,2,2,1] [9,3,1,6,2,7,4,10,8,5]=>110101011=>[1,1,2,2,2,1,1] [9,5,3,1,6,2,7,4,10,8]=>111010101=>[1,1,1,2,2,2,1] [6,1,8,5,2,9,7,3,10,4]=>101101101=>[1,2,1,2,1,2,1] [6,4,1,8,2,9,7,3,10,5]=>110101101=>[1,1,2,2,1,2,1] [8,5,4,1,6,2,9,3,10,7]=>111010101=>[1,1,1,2,2,2,1] [5,7,4,1,8,6,2,9,3,10]=>011011010=>[2,1,2,1,2,2] [3,6,1,8,2,9,7,4,10,5]=>010101101=>[2,2,2,1,2,1] [5,8,3,1,6,2,9,4,10,7]=>011010101=>[2,1,2,2,2,1] [5,3,7,1,8,6,2,9,4,10]=>101011010=>[1,2,2,1,2,2] [4,3,8,1,9,5,2,6,10,7]=>101011001=>[1,2,2,1,3,1] [7,4,3,5,1,8,2,9,6,10]=>110101010=>[1,1,2,2,2,2] [9,6,2,1,3,7,4,10,8,5]=>111001011=>[1,1,1,3,2,1,1] [5,9,2,1,6,3,7,4,10,8]=>011010101=>[2,1,2,2,2,1] [6,8,2,1,3,9,7,4,10,5]=>011001101=>[2,1,3,1,2,1] [8,2,5,1,6,3,9,4,10,7]=>101010101=>[1,2,2,2,2,1] [2,5,7,1,8,6,3,9,4,10]=>001011010=>[3,2,1,2,2] [2,4,8,1,9,5,3,6,10,7]=>001011001=>[3,2,1,3,1] [4,8,7,2,6,1,3,5]=>0110100=>[2,1,2,3] [4,5,8,2,1,7,3,6]=>0011010=>[3,1,2,2] [6,8,4,1,7,3,2,5]=>0110110=>[2,1,2,1,2] [5,6,4,3,2,1,7,8,9]=>01111000=>[2,1,1,1,4] [5,6,4,3,2,1,7,8,9,10]=>011110000=>[2,1,1,1,5] [4,5,3,2,1,6,7,8,9]=>01110000=>[2,1,1,5] [6,7,5,4,3,2,1,8,9,10,11]=>0111110000=>[2,1,1,1,1,5] [6,7,5,4,3,2,1,8,9,10]=>011111000=>[2,1,1,1,1,4] [6,7,4,3,2,1,5,8,9]=>01111000=>[2,1,1,1,4] [5,6,4,3,2,7,1,8,9]=>01110100=>[2,1,1,2,3] [7,5,4,3,1,2,6,8,9]=>11110000=>[1,1,1,1,5] [6,5,4,3,7,1,2,8,9]=>11101000=>[1,1,1,2,4] [7,6,5,4,3,1,2,8,9,10,11]=>1111100000=>[1,1,1,1,1,6] [6,7,9,8,5,4,3,2,1]=>00111111=>[3,1,1,1,1,1,1] [7,6,8,9,5,4,3,2,1]=>10011111=>[1,3,1,1,1,1,1] [9,11,10,8,7,6,5,4,3,2,1]=>0111111111=>[2,1,1,1,1,1,1,1,1,1] [7,8,10,9,6,5,4,3,2,1]=>001111111=>[3,1,1,1,1,1,1,1] [6,7,5,9,8,4,3,2,1]=>01011111=>[2,2,1,1,1,1,1] [5,7,9,8,6,4,3,2,1]=>00111111=>[3,1,1,1,1,1,1] [7,6,8,5,9,4,3,2,1]=>10101111=>[1,2,2,1,1,1,1] [6,5,8,9,7,4,3,2,1]=>10011111=>[1,3,1,1,1,1,1] [8,7,9,10,6,5,4,3,2,1]=>100111111=>[1,3,1,1,1,1,1,1] [6,3,1,8,2,7,5,4]=>1101011=>[1,1,2,2,1,1] [6,4,1,3,2,5,7,8]=>1101000=>[1,1,2,4] [4,1,7,8,3,2,5,6]=>1001100=>[1,3,1,3] [5,4,7,1,3,6,2,8]=>1010010=>[1,2,3,2] [7,6,2,8,4,5,3,1]=>1101011=>[1,1,2,2,1,1] [5,8,2,1,3,6,4,7]=>0110010=>[2,1,3,2] [7,6,4,3,5,2,1,9,8]=>11101101=>[1,1,1,2,1,2,1] [7,6,3,5,4,2,1,9,8]=>11011101=>[1,1,2,1,1,2,1] [8,5,1,7,3,4,6,2]=>1101001=>[1,1,2,3,1] [5,7,6,3,4,1,8,2]=>0110101=>[2,1,2,2,1] [7,8,9,10,1,5,6,3,4,2]=>000100101=>[4,3,2,1] [1,8,3,5,2,6,4,7]=>0101010=>[2,2,2,2] [3,4,6,1,8,5,7,2]=>0010101=>[3,2,2,1] [2,3,8,7,4,5,1,6]=>0011010=>[3,1,2,2] [1,8,3,5,7,4,2,6]=>0100110=>[2,3,1,2] [2,5,8,4,6,7,1,3]=>0010010=>[3,3,2] [9,8,6,1,2,3,4,5,7]=>11100000=>[1,1,1,6] [9,8,7,5,1,2,3,4,6]=>11110000=>[1,1,1,1,5] [9,8,7,6,4,1,2,3,5]=>11111000=>[1,1,1,1,1,4] [9,8,7,6,5,3,1,2,4]=>11111100=>[1,1,1,1,1,1,3] [7,1,2,6,4,3,5,8]=>1001100=>[1,3,1,3] [7,1,2,6,5,3,4,8]=>1001100=>[1,3,1,3] [4,7,8,6,2,3,5,1]=>0011001=>[3,1,3,1] [7,1,2,4,8,6,5,3]=>1000111=>[1,4,1,1,1] [2,7,5,6,4,8,1,3]=>0101010=>[2,2,2,2] [2,8,3,6,5,7,1,4]=>0101010=>[2,2,2,2] [9,8,4,7,6,5,3,2,1]=>11011111=>[1,1,2,1,1,1,1,1] [9,8,3,7,6,5,4,2,1]=>11011111=>[1,1,2,1,1,1,1,1] [9,3,8,7,6,5,4,2,1]=>10111111=>[1,2,1,1,1,1,1,1] [9,2,8,7,6,5,4,3,1]=>10111111=>[1,2,1,1,1,1,1,1] [10,9,8,5,7,6,4,3,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [9,8,4,6,5,7,3,2,1]=>11010111=>[1,1,2,2,1,1,1] [10,9,8,4,7,6,5,3,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [9,8,3,6,5,4,7,2,1]=>11011011=>[1,1,2,1,2,1,1] [10,9,4,8,7,6,5,3,2,1]=>110111111=>[1,1,2,1,1,1,1,1,1] [9,3,7,6,5,4,8,2,1]=>10111011=>[1,2,1,1,2,1,1] [9,2,7,6,5,4,3,8,1]=>10111101=>[1,2,1,1,1,2,1] [10,3,9,8,7,6,5,4,2,1]=>101111111=>[1,2,1,1,1,1,1,1,1] [10,2,9,8,7,6,5,4,3,1]=>101111111=>[1,2,1,1,1,1,1,1,1] [7,4,3,1,6,5,2,8]=>1110110=>[1,1,1,2,1,2] [3,5,1,2,6,8,7,4]=>0100011=>[2,4,1,1] [3,1,2,4,8,7,5,6]=>1000110=>[1,4,1,2] [5,4,1,2,3,7,8,6]=>1100001=>[1,1,5,1] [1,6,7,2,5,8,3,4]=>0010010=>[3,3,2] [7,8,5,6,2,4,3,1]=>0101011=>[2,2,2,1,1] [5,3,8,6,2,4,1,7]=>1011010=>[1,2,1,2,2] [2,7,4,6,3,8,1,5]=>0101010=>[2,2,2,2] [5,4,7,8,6,2,1,3]=>1001110=>[1,3,1,1,2] [2,7,4,8,3,1,5,6]=>0101100=>[2,2,1,3] [8,2,1,3,7,4,6,5]=>1100101=>[1,1,3,2,1] [6,5,8,2,3,4,7,1]=>1010001=>[1,2,4,1] [7,8,2,3,6,4,5,1]=>0100101=>[2,3,2,1] [8,1,2,7,5,3,4,6]=>1001100=>[1,3,1,3] [4,2,8,1,3,7,5,6]=>1010010=>[1,2,3,2] [7,5,1,8,2,3,4,6]=>1101000=>[1,1,2,4] [8,2,4,1,3,7,5,6]=>1010010=>[1,2,3,2] [8,1,6,2,3,7,4,5]=>1010010=>[1,2,3,2] [7,1,8,2,3,6,4,5]=>1010010=>[1,2,3,2] [4,2,6,7,5,1,8,3]=>1001101=>[1,3,1,2,1] [4,7,2,5,3,8,1,6]=>0101010=>[2,2,2,2] [3,5,7,4,2,8,1,6]=>0011010=>[3,1,2,2] [2,4,7,6,3,8,1,5]=>0011010=>[3,1,2,2] [4,6,8,5,1,2,3,7]=>0011000=>[3,1,4] [4,6,5,7,1,2,3,8]=>0101000=>[2,2,4] [4,6,5,7,1,3,8,2]=>0101001=>[2,2,3,1] [3,4,7,6,1,8,2,5]=>0011010=>[3,1,2,2] [8,5,2,1,6,3,4,7]=>1110100=>[1,1,1,2,3] [7,1,8,5,3,2,4,6]=>1011100=>[1,2,1,1,3] [9,10,2,1,6,4,3,5,7,8]=>011011000=>[2,1,2,1,4] [7,10,2,1,8,4,3,5,6,9]=>011011000=>[2,1,2,1,4] [2,9,1,10,7,4,3,5,6,8]=>010111000=>[2,2,1,1,4] [2,8,1,9,4,3,10,5,6,7]=>010110100=>[2,2,1,2,3] [10,8,5,2,1,6,3,4,7,9]=>111101000=>[1,1,1,1,2,4] [9,5,2,1,10,6,3,4,7,8]=>111011000=>[1,1,1,2,1,4] [10,7,2,1,8,5,3,4,6,9]=>111011000=>[1,1,1,2,1,4] [9,2,1,10,7,5,3,4,6,8]=>110111000=>[1,1,2,1,1,4] [2,8,1,9,3,10,5,4,6,7]=>010101100=>[2,2,2,1,3] [10,6,2,1,7,3,8,4,5,9]=>111010100=>[1,1,1,2,2,3] [9,2,1,10,6,3,7,4,5,8]=>110110100=>[1,1,2,1,2,3] [8,2,1,9,3,10,6,4,5,7]=>110101100=>[1,1,2,2,1,3] [7,2,1,8,3,9,4,10,5,6]=>110101010=>[1,1,2,2,2,2] [10,8,6,3,1,4,2,5,7,9]=>111101000=>[1,1,1,1,2,4] [3,9,1,10,6,4,2,5,7,8]=>010111000=>[2,2,1,1,4] [10,7,3,1,8,4,2,5,6,9]=>111011000=>[1,1,1,2,1,4] [9,3,1,10,7,4,2,5,6,8]=>110111000=>[1,1,2,1,1,4] [8,3,1,9,4,2,10,5,6,7]=>110110100=>[1,1,2,1,2,3] [10,8,5,1,6,3,2,4,7,9]=>111011000=>[1,1,1,2,1,4] [9,5,1,10,6,3,2,4,7,8]=>110111000=>[1,1,2,1,1,4] [10,7,1,8,5,3,2,4,6,9]=>110111000=>[1,1,2,1,1,4] [9,1,10,7,5,3,2,4,6,8]=>101111000=>[1,2,1,1,1,4] [8,3,1,9,2,10,5,4,6,7]=>110101100=>[1,1,2,2,1,3] [10,6,1,7,3,2,8,4,5,9]=>110110100=>[1,1,2,1,2,3] [9,1,10,6,3,2,7,4,5,8]=>101110100=>[1,2,1,1,2,3] [8,1,9,3,2,10,6,4,5,7]=>101101100=>[1,2,1,2,1,3] [7,1,8,3,2,9,4,10,5,6]=>101101010=>[1,2,1,2,2,2] [10,8,4,1,5,2,6,3,7,9]=>111010100=>[1,1,1,2,2,3] [9,4,1,10,5,2,6,3,7,8]=>110110100=>[1,1,2,1,2,3] [10,7,1,8,4,2,5,3,6,9]=>110110100=>[1,1,2,1,2,3] [9,1,10,7,4,2,5,3,6,8]=>101110100=>[1,2,1,1,2,3] [8,1,9,4,2,10,5,3,6,7]=>101101100=>[1,2,1,2,1,3] [10,6,1,7,2,8,4,3,5,9]=>110101100=>[1,1,2,2,1,3] [9,1,10,6,2,7,4,3,5,8]=>101101100=>[1,2,1,2,1,3] [8,1,9,2,10,6,4,3,5,7]=>101011100=>[1,2,2,1,1,3] [7,1,8,2,9,4,3,10,5,6]=>101011010=>[1,2,2,1,2,2] [10,5,1,6,2,7,3,8,4,9]=>110101010=>[1,1,2,2,2,2] [9,1,10,5,2,6,3,7,4,8]=>101101010=>[1,2,1,2,2,2] [8,1,9,2,10,5,3,6,4,7]=>101011010=>[1,2,2,1,2,2] [7,1,8,2,9,3,10,5,4,6]=>101010110=>[1,2,2,2,1,2] [11,12,8,2,1,6,4,3,5,7,9,10]=>01110110000=>[2,1,1,2,1,5] [11,12,2,1,9,6,4,3,5,7,8,10]=>01101110000=>[2,1,2,1,1,5] [7,12,10,2,1,8,4,3,5,6,9,11]=>01110110000=>[2,1,1,2,1,5] [2,11,7,1,12,8,4,3,5,6,9,10]=>01101110000=>[2,1,2,1,1,5] [9,12,2,1,10,7,4,3,5,6,8,11]=>01101110000=>[2,1,2,1,1,5] [2,11,1,12,9,7,4,3,5,6,8,10]=>01011110000=>[2,2,1,1,1,5] [2,11,1,12,8,4,3,9,5,6,7,10]=>01011101000=>[2,2,1,1,2,4] [2,9,1,10,4,3,11,5,12,6,7,8]=>01011010100=>[2,2,1,2,2,3] [5,11,2,1,12,8,6,3,4,7,9,10]=>01101110000=>[2,1,2,1,1,5] [2,9,1,10,3,11,5,4,12,6,7,8]=>01010110100=>[2,2,2,1,2,3] [11,2,1,12,9,6,3,7,4,5,8,10]=>11011101000=>[1,1,2,1,1,2,4] [2,9,1,10,3,11,4,12,6,5,7,8]=>01010101100=>[2,2,2,2,1,3] [12,7,2,1,8,3,9,4,10,5,6,11]=>11101010100=>[1,1,1,2,2,2,3] [11,2,1,12,7,3,8,4,9,5,6,10]=>11011010100=>[1,1,2,1,2,2,3] [10,2,1,11,3,12,7,4,8,5,6,9]=>11010110100=>[1,1,2,2,1,2,3] [9,2,1,10,3,11,4,12,7,5,6,8]=>11010101100=>[1,1,2,2,2,1,3] [8,2,1,9,3,10,4,11,5,12,6,7]=>11010101010=>[1,1,2,2,2,2,2] [11,12,3,1,8,6,4,2,5,7,9,10]=>01101110000=>[2,1,2,1,1,5] [9,12,3,1,10,6,4,2,5,7,8,11]=>01101110000=>[2,1,2,1,1,5] [3,11,1,12,9,6,4,2,5,7,8,10]=>01011110000=>[2,2,1,1,1,5] [11,3,1,12,8,4,2,9,5,6,7,10]=>11011101000=>[1,1,2,1,1,2,4] [9,3,1,10,4,2,11,5,12,6,7,8]=>11011010100=>[1,1,2,1,2,2,3] [5,11,1,12,8,6,3,2,4,7,9,10]=>01011110000=>[2,2,1,1,1,5] [11,1,12,9,7,5,3,2,4,6,8,10]=>10111110000=>[1,2,1,1,1,1,5] [9,3,1,10,2,11,5,4,12,6,7,8]=>11010110100=>[1,1,2,2,1,2,3] [11,6,1,12,7,3,2,8,4,5,9,10]=>11011101000=>[1,1,2,1,1,2,4] [12,9,1,10,6,3,2,7,4,5,8,11]=>11011101000=>[1,1,2,1,1,2,4] [11,1,12,9,6,3,2,7,4,5,8,10]=>10111101000=>[1,2,1,1,1,2,4] [9,3,1,10,2,11,4,12,6,5,7,8]=>11010101100=>[1,1,2,2,2,1,3] [12,7,1,8,3,2,9,4,10,5,6,11]=>11011010100=>[1,1,2,1,2,2,3] [8,1,9,3,2,10,4,11,5,12,6,7]=>10110101010=>[1,2,1,2,2,2,2] [4,11,1,12,8,5,2,6,3,7,9,10]=>01011101000=>[2,2,1,1,2,4] [11,4,1,12,9,5,2,6,3,7,8,10]=>11011101000=>[1,1,2,1,1,2,4] [11,7,1,12,8,4,2,5,3,6,9,10]=>11011101000=>[1,1,2,1,1,2,4] [12,9,1,10,7,4,2,5,3,6,8,11]=>11011101000=>[1,1,2,1,1,2,4] [11,1,12,9,7,4,2,5,3,6,8,10]=>10111101000=>[1,2,1,1,1,2,4] [12,7,1,8,2,9,4,3,10,5,6,11]=>11010110100=>[1,1,2,2,1,2,3] [8,1,9,2,10,4,3,11,5,12,6,7]=>10101101010=>[1,2,2,1,2,2,2] [12,10,5,1,6,2,7,3,8,4,9,11]=>11101010100=>[1,1,1,2,2,2,3] [11,5,1,12,6,2,7,3,8,4,9,10]=>11011010100=>[1,1,2,1,2,2,3] [12,9,1,10,5,2,6,3,7,4,8,11]=>11011010100=>[1,1,2,1,2,2,3] [12,8,1,9,2,10,5,3,6,4,7,11]=>11010110100=>[1,1,2,2,1,2,3] [12,7,1,8,2,9,3,10,5,4,6,11]=>11010101100=>[1,1,2,2,2,1,3] [8,1,9,2,10,3,11,5,4,12,6,7]=>10101011010=>[1,2,2,2,1,2,2] [12,6,1,7,2,8,3,9,4,10,5,11]=>11010101010=>[1,1,2,2,2,2,2] [11,1,12,6,2,7,3,8,4,9,5,10]=>10110101010=>[1,2,1,2,2,2,2] [10,1,11,2,12,6,3,7,4,8,5,9]=>10101101010=>[1,2,2,1,2,2,2] [9,1,10,2,11,3,12,6,4,7,5,8]=>10101011010=>[1,2,2,2,1,2,2] [8,1,9,2,10,3,11,4,12,6,5,7]=>10101010110=>[1,2,2,2,2,1,2] [8,6,1,3,2,7,5,4]=>1101011=>[1,1,2,2,1,1] [8,1,7,5,2,4,6,3]=>1011001=>[1,2,1,3,1] [8,2,7,5,4,1,6,3]=>1011101=>[1,2,1,1,2,1] [8,6,1,2,7,3,5,4]=>1100101=>[1,1,3,2,1] [4,2,8,5,7,1,6,3]=>1010101=>[1,2,2,2,1] [6,8,7,4,5,3,2,1]=>0110111=>[2,1,2,1,1,1] [5,2,6,7,4,8,3,1]=>1001011=>[1,3,2,1,1] [6,5,8,1,7,3,2,4]=>1010110=>[1,2,2,1,2] [6,4,8,1,5,2,3,7]=>1010100=>[1,2,2,3] [7,2,4,1,6,3,5,8]=>1010100=>[1,2,2,3] [4,2,1,3,6,5,8,7,9]=>11001010=>[1,1,3,2,2] [4,2,1,3,6,5,8,7,10,9]=>110010101=>[1,1,3,2,2,1] [6,2,1,4,3,5,8,7,9]=>11010010=>[1,1,2,3,2] [2,6,1,5,3,4,8,7]=>0101001=>[2,2,3,1] [3,8,7,5,4,2,6,1]=>0111101=>[2,1,1,1,2,1] [5,7,8,2,3,6,4,1]=>0010011=>[3,3,1,1] [2,8,7,3,1,4,5,6]=>0111000=>[2,1,1,4] [5,6,1,2,4,7,8,3]=>0100001=>[2,5,1] [10,2,3,1,4,5,6,7,8,9]=>101000000=>[1,2,7] [9,2,3,4,1,5,6,7,8]=>10010000=>[1,3,5] [9,8,4,5,7,6,3,2,1]=>11001111=>[1,1,3,1,1,1,1] [9,8,5,4,6,7,3,2,1]=>11100111=>[1,1,1,3,1,1,1] [10,9,8,6,5,7,4,3,2,1]=>111101111=>[1,1,1,1,2,1,1,1,1] [10,9,8,4,5,7,6,3,2,1]=>111001111=>[1,1,1,3,1,1,1,1] [9,8,4,5,3,7,6,2,1]=>11010111=>[1,1,2,2,1,1,1] [9,8,3,5,7,6,4,2,1]=>11001111=>[1,1,3,1,1,1,1] [9,8,5,4,6,3,7,2,1]=>11101011=>[1,1,1,2,2,1,1] [9,8,4,3,6,7,5,2,1]=>11100111=>[1,1,1,3,1,1,1] [10,9,8,5,4,6,7,3,2,1]=>111100111=>[1,1,1,1,3,1,1,1] [3,8,6,7,5,4,2,1]=>0101111=>[2,2,1,1,1,1] [7,8,5,1,4,6,2,3]=>0110010=>[2,1,3,2] [8,2,7,5,4,6,1,3]=>1011010=>[1,2,1,2,2] [8,4,7,6,3,1,2,5]=>1011100=>[1,2,1,1,3] [4,6,7,1,3,2,8,5]=>0010101=>[3,2,2,1] [6,4,7,5,3,2,8,1]=>1011101=>[1,2,1,1,2,1] [8,4,6,3,1,5,7,2]=>1011001=>[1,2,1,3,1] [7,3,1,4,5,6,8,2]=>1100001=>[1,1,5,1] [6,7,3,4,2,1,8,5]=>0101101=>[2,2,1,2,1] [6,4,8,3,1,5,7,2]=>1011001=>[1,2,1,3,1] [7,4,2,3,5,1,8,6]=>1100101=>[1,1,3,2,1] [3,1,6,5,2,4,8,7]=>1011001=>[1,2,1,3,1] [2,5,3,8,6,4,1,7]=>0101110=>[2,2,1,1,2] [5,8,4,1,3,2,7,6]=>0110101=>[2,1,2,2,1] [5,3,4,7,6,1,8,2]=>1001101=>[1,3,1,2,1] [4,5,2,1,6,3,8,7]=>0110101=>[2,1,2,2,1] [4,5,2,1,6,7,3,8]=>0110010=>[2,1,3,2] [5,3,8,6,2,4,7,1]=>1011001=>[1,2,1,3,1] [2,5,1,6,4,3,8,7]=>0101101=>[2,2,1,2,1] [3,6,2,8,5,7,1,4]=>0101010=>[2,2,2,2] [4,6,8,1,5,7,2,3]=>0010010=>[3,3,2] [4,1,2,5,7,6,3,8]=>1000110=>[1,4,1,2] [4,6,5,8,1,7,3,2]=>0101011=>[2,2,2,1,1] [2,1,3,6,4,8,7,5]=>1001011=>[1,3,2,1,1] [4,8,1,2,7,5,6,3]=>0100101=>[2,3,2,1] [1,6,4,3,8,7,5,2]=>0110111=>[2,1,2,1,1,1] [4,5,1,6,8,7,2,3]=>0100110=>[2,3,1,2] [2,5,1,8,6,4,7,3]=>0101101=>[2,2,1,2,1] [2,5,8,7,3,1,4,6]=>0011100=>[3,1,1,3] [9,8,7,4,3,2,1,5,6]=>11111100=>[1,1,1,1,1,1,3] [9,8,7,6,3,2,1,4,5]=>11111100=>[1,1,1,1,1,1,3] [3,8,7,2,6,1,4,5]=>0110100=>[2,1,2,3] [8,4,5,1,6,7,2,3]=>1010010=>[1,2,3,2] [8,4,7,3,1,5,2,6]=>1011010=>[1,2,1,2,2] [2,5,1,8,3,6,4,7]=>0101010=>[2,2,2,2] [5,8,4,7,3,2,1,6]=>0101110=>[2,2,1,1,2] [5,6,8,4,2,7,1,3]=>0011010=>[3,1,2,2] [4,3,8,6,1,2,5,7]=>1011000=>[1,2,1,4] [4,8,6,5,7,1,3,2]=>0110101=>[2,1,2,2,1] [7,2,3,5,6,8,4,1]=>1000011=>[1,5,1,1] [5,8,1,3,4,7,2,6]=>0100010=>[2,4,2] [8,3,4,2,7,6,1,5]=>1010110=>[1,2,2,1,2] [8,7,5,6,4,1,3,2]=>1101101=>[1,1,2,1,2,1] [8,7,4,2,3,6,5,1]=>1110011=>[1,1,1,3,1,1] [8,4,2,3,7,6,5,1]=>1100111=>[1,1,3,1,1,1] [7,2,4,5,3,1,6,8]=>1001100=>[1,3,1,3] [7,6,3,1,4,5,8,2]=>1110001=>[1,1,1,4,1] [5,4,1,7,8,6,2,3]=>1100110=>[1,1,3,1,2] [5,3,4,7,8,1,6,2]=>1000101=>[1,4,2,1] [4,3,7,6,5,1,8,2]=>1011101=>[1,2,1,1,2,1] [5,1,4,8,2,3,7,6]=>1001001=>[1,3,3,1] [3,2,8,5,4,1,6,7]=>1011100=>[1,2,1,1,3] [7,8,9,1,3,4,5,6,2]=>00100001=>[3,5,1] [1,2,8,3,4,6,5,7]=>0010010=>[3,3,2] [8,1,2,7,3,5,4,6]=>1001010=>[1,3,2,2] [5,7,1,2,6,3,4,8]=>0100100=>[2,3,3] [1,2,7,5,6,3,4,8]=>0010100=>[3,2,3] [5,1,4,7,2,3,6,8]=>1001000=>[1,3,4] [4,8,1,2,3,6,5,7]=>0100010=>[2,4,2] [1,3,4,2,5,6,7,8,9]=>00100000=>[3,6] [1,2,4,5,6,3,7,8,9]=>00001000=>[5,4] [1,2,3,5,6,7,8,4,9]=>00000010=>[7,2] [2,1,5,3,6,7,4,8,9]=>10100100=>[1,2,3,3] [1,3,5,6,4,2,7,8,9]=>00011000=>[4,1,4] [3,5,2,1,6,4,7,8,9]=>01101000=>[2,1,2,4] [2,1,3,6,4,7,8,9,5]=>10010001=>[1,3,4,1] [1,3,4,6,7,2,8,5,9]=>00001010=>[5,2,2] [3,2,6,1,4,7,8,5,9]=>10100010=>[1,2,4,2] [2,4,6,1,7,5,3,8,9]=>00101100=>[3,2,1,3] [4,6,3,2,1,7,5,8,9]=>01110100=>[2,1,1,2,3] [2,4,1,7,5,8,3,9,6]=>01010101=>[2,2,2,2,1] [4,3,7,2,1,5,8,9,6]=>10110001=>[1,2,1,4,1] [1,3,5,7,8,6,4,2,9]=>00001110=>[5,1,1,2] [3,5,7,2,1,8,6,4,9]=>00110110=>[3,1,2,1,2] [5,7,4,3,2,1,8,6,9]=>01111010=>[2,1,1,1,2,2] [2,4,6,8,1,9,7,5,3]=>00010111=>[4,2,1,1,1] [4,6,8,3,2,1,9,7,5]=>00111011=>[3,1,1,2,1,1] [6,8,5,4,3,2,1,9,7]=>01111101=>[2,1,1,1,1,2,1] [1,3,4,2,5,6,7,8,9,10]=>001000000=>[3,7] [1,2,4,5,6,3,7,8,9,10]=>000010000=>[5,5] [1,2,3,5,6,7,8,4,9,10]=>000000100=>[7,3] [2,1,5,3,6,7,4,8,9,10]=>101001000=>[1,2,3,4] [1,3,5,6,4,2,7,8,9,10]=>000110000=>[4,1,5] [3,5,2,1,6,4,7,8,9,10]=>011010000=>[2,1,2,5] [2,1,3,6,4,7,8,9,5,10]=>100100010=>[1,3,4,2] [1,3,4,6,7,2,8,5,9,10]=>000010100=>[5,2,3] [3,2,6,1,4,7,8,5,9,10]=>101000100=>[1,2,4,3] [2,4,6,1,7,5,3,8,9,10]=>001011000=>[3,2,1,4] [4,6,3,2,1,7,5,8,9,10]=>011101000=>[2,1,1,2,4] [1,3,4,2,7,8,5,9,10,6]=>001001001=>[3,3,3,1] [3,2,1,7,4,5,8,9,10,6]=>110100001=>[1,1,2,5,1] [1,2,4,5,7,8,9,6,3,10]=>000000110=>[7,1,2] [4,3,7,2,1,5,8,9,6,10]=>101100010=>[1,2,1,4,2] [1,3,5,7,8,6,4,2,9,10]=>000011100=>[5,1,1,3] [3,5,7,2,1,8,6,4,9,10]=>001101100=>[3,1,2,1,3] [5,7,4,3,2,1,8,6,9,10]=>011110100=>[2,1,1,1,2,3] [2,1,5,3,8,6,9,10,7,4]=>101010011=>[1,2,2,3,1,1] [1,3,5,6,8,9,4,2,10,7]=>000001101=>[6,1,2,1] [3,5,2,8,1,6,9,4,10,7]=>010100101=>[2,2,3,2,1] [5,4,8,3,2,1,6,9,10,7]=>101110001=>[1,2,1,1,4,1] [2,4,6,8,1,9,7,5,3,10]=>000101110=>[4,2,1,1,2] [4,6,8,3,2,1,9,7,5,10]=>001110110=>[3,1,1,2,1,2] [6,8,5,4,3,2,1,9,7,10]=>011111010=>[2,1,1,1,1,2,2] [3,5,7,9,2,1,10,8,6,4]=>000110111=>[4,1,2,1,1,1] [5,7,9,4,3,2,1,10,8,6]=>001111011=>[3,1,1,1,2,1,1] [7,9,6,5,4,3,2,1,10,8]=>011111101=>[2,1,1,1,1,1,2,1] [6,2,3,8,7,1,4,5]=>1001100=>[1,3,1,3] [8,2,3,6,4,7,5,1]=>1001011=>[1,3,2,1,1] [7,2,3,6,4,8,1,5]=>1001010=>[1,3,2,2] [4,5,6,3,7,2,8,1,9]=>00101010=>[3,2,2,2] [1,5,6,7,4,8,3,9,2]=>00010101=>[4,2,2,1] [5,4,1,6,2,7,8,3]=>1101001=>[1,1,2,3,1] [7,1,3,5,4,2,8,6]=>1001101=>[1,3,1,2,1] [7,6,8,2,4,5,3,1]=>1010011=>[1,2,3,1,1] [4,2,8,6,5,1,3,7]=>1011100=>[1,2,1,1,3] [3,8,5,4,7,1,2,6]=>0110100=>[2,1,2,3] [1,4,8,3,6,2,7,5]=>0010101=>[3,2,2,1] [6,3,2,4,8,7,1,5]=>1100110=>[1,1,3,1,2] [8,3,2,7,4,1,5,6]=>1101100=>[1,1,2,1,3] [7,3,2,6,5,8,1,4]=>1101010=>[1,1,2,2,2] [3,6,2,5,7,4,8,1]=>0100101=>[2,3,2,1] [2,7,1,5,8,6,4,3]=>0100111=>[2,3,1,1,1] [7,2,4,1,6,8,5,3]=>1010011=>[1,2,3,1,1] [6,4,7,2,3,8,5,1]=>1010011=>[1,2,3,1,1] [6,1,8,5,7,4,2,3]=>1010110=>[1,2,2,1,2] [7,1,4,3,6,5,8,2]=>1010101=>[1,2,2,2,1] [7,1,5,6,3,4,8,2]=>1001001=>[1,3,3,1] [6,1,8,5,4,7,3,2]=>1011011=>[1,2,1,2,1,1] [7,6,1,5,4,2,8,3]=>1101101=>[1,1,2,1,2,1] [5,1,6,8,7,2,4,3]=>1001101=>[1,3,1,2,1] [4,6,7,5,3,1,8,2]=>0011101=>[3,1,1,2,1] [5,3,2,6,8,7,4,1]=>1100111=>[1,1,3,1,1,1] [5,4,6,2,8,7,3,1]=>1010111=>[1,2,2,1,1,1] [4,5,8,6,7,2,3,1]=>0010101=>[3,2,2,1] [4,5,7,6,1,2,8,3]=>0011001=>[3,1,3,1] [4,6,5,7,2,1,8,3]=>0101101=>[2,2,1,2,1] [2,3,7,5,6,1,10,9,4,8]=>001010110=>[3,2,2,1,2] [2,3,4,10,6,9,8,5,1,7]=>000101110=>[4,2,1,1,2] [2,3,6,5,9,10,8,4,1,7]=>001001110=>[3,3,1,1,2] [2,3,9,5,8,7,4,1,10,6]=>001011101=>[3,2,1,1,2,1] [2,5,4,9,6,10,8,3,1,7]=>010101110=>[2,2,2,1,1,2] [2,5,4,8,9,7,3,1,10,6]=>010011101=>[2,3,1,1,2,1] [2,3,4,10,6,7,1,9,8,5]=>000101011=>[4,2,2,1,1] [2,3,7,5,6,1,10,9,8,4]=>001010111=>[3,2,2,1,1,1] [2,3,4,10,6,8,9,1,7,5]=>000100101=>[4,3,2,1] [2,3,6,5,8,10,9,1,7,4]=>001001101=>[3,3,1,2,1] [2,3,8,5,7,9,1,10,6,4]=>001001011=>[3,3,2,1,1] [2,5,4,8,6,10,9,1,7,3]=>010101101=>[2,2,2,1,2,1] [2,5,4,7,8,9,1,10,6,3]=>010001011=>[2,4,2,1,1] [2,3,4,10,6,9,8,7,5,1]=>000101111=>[4,2,1,1,1,1] [2,3,6,5,9,10,8,7,4,1]=>001001111=>[3,3,1,1,1,1] [2,3,7,5,9,8,10,6,4,1]=>001010111=>[3,2,2,1,1,1] [2,3,9,5,8,7,6,4,1,10]=>001011110=>[3,2,1,1,1,2] [2,5,4,9,6,10,8,7,3,1]=>010101111=>[2,2,2,1,1,1,1] [2,5,4,9,7,8,10,6,3,1]=>010100111=>[2,2,3,1,1,1] [2,5,4,8,9,7,6,3,1,10]=>010011110=>[2,3,1,1,1,2] [2,3,4,10,7,9,8,1,6,5]=>000101101=>[4,2,1,2,1] [2,3,5,7,10,9,8,1,6,4]=>000011101=>[5,1,1,2,1] [2,3,8,6,9,7,1,10,5,4]=>001011011=>[3,2,1,2,1,1] [2,4,7,5,10,9,8,1,6,3]=>001011101=>[3,2,1,1,2,1] [2,4,6,8,9,7,1,10,5,3]=>000011011=>[5,1,2,1,1] [2,3,4,10,7,8,9,6,5,1]=>000100111=>[4,3,1,1,1] [2,3,5,7,10,8,9,6,4,1]=>000010111=>[5,2,1,1,1] [2,3,7,6,8,9,10,5,4,1]=>001000111=>[3,4,1,1,1] [2,3,9,6,7,8,5,4,1,10]=>001001110=>[3,3,1,1,2] [2,4,7,5,10,8,9,6,3,1]=>001010111=>[3,2,2,1,1,1] [2,4,6,7,8,9,10,5,3,1]=>000000111=>[7,1,1,1] [2,4,6,9,7,8,5,3,1,10]=>000101110=>[4,2,1,1,2] [2,6,5,8,9,7,10,4,3,1]=>010010111=>[2,3,2,1,1,1] [2,6,5,7,8,9,4,3,1,10]=>010001110=>[2,4,1,1,2] [3,7,4,5,10,9,8,1,6,2]=>010011101=>[2,3,1,1,2,1] [3,6,4,8,9,7,1,10,5,2]=>010011011=>[2,3,1,2,1,1] [3,7,4,5,10,8,9,6,2,1]=>010010111=>[2,3,2,1,1,1] [3,6,4,7,8,9,10,5,2,1]=>010000111=>[2,5,1,1,1] [3,6,4,9,7,8,5,2,1,10]=>010101110=>[2,2,2,1,1,2] [3,5,6,8,9,7,10,4,2,1]=>000010111=>[5,2,1,1,1] [3,5,6,7,8,9,4,2,1,10]=>000001110=>[6,1,1,2] [7,4,8,6,3,5,1,2]=>1011010=>[1,2,1,2,2] [7,2,4,3,6,1,8,5]=>1010101=>[1,2,2,2,1] [2,3,4,7,8,6,1,5]=>0000110=>[5,1,2] [6,3,7,1,4,2,8,5]=>1010101=>[1,2,2,2,1] [4,3,2,7,6,5,1,9,8,10]=>110111010=>[1,1,2,1,1,2,2] [4,3,2,1,7,6,9,8,5,10]=>111010110=>[1,1,1,2,2,1,2] [4,3,2,7,6,1,9,8,5,10]=>110110110=>[1,1,2,1,2,1,2] [4,3,2,7,6,9,8,5,1,10]=>110101110=>[1,1,2,2,1,1,2] [4,3,7,6,2,1,9,8,5,10]=>101110110=>[1,2,1,1,2,1,2] [4,3,7,6,2,9,8,5,1,10]=>101101110=>[1,2,1,2,1,1,2] [4,3,2,1,7,6,5,9,10,8]=>111011001=>[1,1,1,2,1,3,1] [4,3,2,7,6,5,1,9,10,8]=>110111001=>[1,1,2,1,1,3,1] [4,3,2,1,7,6,9,5,10,8]=>111010101=>[1,1,1,2,2,2,1] [4,3,2,7,6,1,9,5,10,8]=>110110101=>[1,1,2,1,2,2,1] [4,3,2,7,6,9,5,1,10,8]=>110101101=>[1,1,2,2,1,2,1] [4,3,7,6,2,1,9,5,10,8]=>101110101=>[1,2,1,1,2,2,1] [4,3,7,6,2,9,5,1,10,8]=>101101101=>[1,2,1,2,1,2,1] [4,3,2,1,7,6,9,10,8,5]=>111010011=>[1,1,1,2,3,1,1] [4,3,2,7,6,1,9,10,8,5]=>110110011=>[1,1,2,1,3,1,1] [4,3,2,7,6,9,1,10,8,5]=>110101011=>[1,1,2,2,2,1,1] [4,3,2,7,6,9,10,8,5,1]=>110100111=>[1,1,2,3,1,1,1] [4,3,7,6,2,1,9,10,8,5]=>101110011=>[1,2,1,1,3,1,1] [4,3,7,6,2,9,1,10,8,5]=>101101011=>[1,2,1,2,2,1,1] [4,3,7,6,2,9,10,8,5,1]=>101100111=>[1,2,1,3,1,1,1] [4,3,2,1,7,9,6,5,10,8]=>111001101=>[1,1,1,3,1,2,1] [4,3,2,7,1,9,6,5,10,8]=>110101101=>[1,1,2,2,1,2,1] [4,3,2,7,9,6,5,1,10,8]=>110011101=>[1,1,3,1,1,2,1] [4,3,7,2,1,9,6,5,10,8]=>101101101=>[1,2,1,2,1,2,1] [4,3,7,2,9,6,5,1,10,8]=>101011101=>[1,2,2,1,1,2,1] [4,3,2,1,7,9,6,10,8,5]=>111001011=>[1,1,1,3,2,1,1] [4,3,2,7,1,9,6,10,8,5]=>110101011=>[1,1,2,2,2,1,1] [4,3,2,7,9,6,1,10,8,5]=>110011011=>[1,1,3,1,2,1,1] [4,3,2,7,9,6,10,8,5,1]=>110010111=>[1,1,3,2,1,1,1] [4,3,7,2,1,9,6,10,8,5]=>101101011=>[1,2,1,2,2,1,1] [4,3,7,2,9,6,1,10,8,5]=>101011011=>[1,2,2,1,2,1,1] [4,3,7,2,9,6,10,8,5,1]=>101010111=>[1,2,2,2,1,1,1] [4,3,7,9,6,2,1,10,8,5]=>100111011=>[1,3,1,1,2,1,1] [4,3,7,9,6,2,10,8,5,1]=>100110111=>[1,3,1,2,1,1,1] [4,7,3,2,1,9,6,5,10,8]=>011101101=>[2,1,1,2,1,2,1] [4,7,3,2,9,6,5,1,10,8]=>011011101=>[2,1,2,1,1,2,1] [4,7,3,2,1,9,6,10,8,5]=>011101011=>[2,1,1,2,2,1,1] [4,7,3,2,9,6,1,10,8,5]=>011011011=>[2,1,2,1,2,1,1] [4,7,3,2,9,6,10,8,5,1]=>011010111=>[2,1,2,2,1,1,1] [4,7,3,9,6,2,1,10,8,5]=>010111011=>[2,2,1,1,2,1,1] [4,6,3,5,1,8,2,7]=>0101010=>[2,2,2,2] [8,5,7,6,2,3,4,1]=>1011001=>[1,2,1,3,1] [3,5,6,7,8,9,2,4,1]=>00000101=>[6,2,1] [3,4,6,7,8,2,5,1]=>0000101=>[5,2,1] [2,4,6,7,8,9,1,3,5]=>00000100=>[6,3] [2,5,6,7,3,8,1,4]=>0001010=>[4,2,2] [2,5,6,7,8,9,3,1,4]=>00000110=>[6,1,2] [5,8,4,6,2,1,7,3]=>0101101=>[2,2,1,2,1] [1,6,8,3,4,2,7,5]=>0010101=>[3,2,2,1] [4,1,7,6,2,8,3,5]=>1011010=>[1,2,1,2,2] [4,1,8,2,7,5,3,6]=>1010110=>[1,2,2,1,2] [4,1,7,2,8,5,3,6]=>1010110=>[1,2,2,1,2] [2,5,6,3,7,4,8,1]=>0010101=>[3,2,2,1] [2,6,5,3,8,4,7,1]=>0110101=>[2,1,2,2,1] [2,6,5,3,7,4,8,1]=>0110101=>[2,1,2,2,1] [7,1,6,3,5,4,8,2]=>1010101=>[1,2,2,2,1] [5,7,3,2,8,4,1,6]=>0110110=>[2,1,2,1,2] [2,8,6,1,7,5,3,4]=>0110110=>[2,1,2,1,2] [8,1,5,2,7,4,3,6]=>1010110=>[1,2,2,1,2] [7,1,4,2,8,5,3,6]=>1010110=>[1,2,2,1,2] [2,6,8,1,7,5,3,4]=>0010110=>[3,2,1,2] [1,4,6,5,3,8,2,7]=>0011010=>[3,1,2,2] [2,4,5,8,7,1,3,6]=>0001100=>[4,1,3] [3,1,6,8,7,5,4,2]=>1001111=>[1,3,1,1,1,1] [3,1,8,7,5,6,4,2]=>1011011=>[1,2,1,2,1,1] [5,1,8,7,6,3,4,2]=>1011101=>[1,2,1,1,2,1] [8,2,7,5,3,6,4,1]=>1011011=>[1,2,1,2,1,1] [8,7,2,3,1,5,6,4]=>1101001=>[1,1,2,3,1] [2,8,5,7,6,1,3,4]=>0101100=>[2,2,1,3] [1,8,7,2,6,4,5,3]=>0110101=>[2,1,2,2,1] [8,7,2,1,6,4,5,3]=>1110101=>[1,1,1,2,2,1] [1,8,4,7,6,2,5,3]=>0101101=>[2,2,1,2,1] [8,7,1,6,4,3,5,2]=>1101101=>[1,1,2,1,2,1] [8,4,1,7,3,6,5,2]=>1101011=>[1,1,2,2,1,1] [5,4,6,3,8,1,7,2,9]=>10101010=>[1,2,2,2,2] [1,6,5,7,4,9,2,8,3]=>01010101=>[2,2,2,2,1] [5,6,4,7,3,9,1,8,2,10]=>010101010=>[2,2,2,2,2] [5,4,8,1,7,2,6,3,9]=>10101010=>[1,2,2,2,2] [5,4,8,1,6,3,7,2,9]=>10101010=>[1,2,2,2,2] [1,6,5,9,2,8,3,7,4]=>01010101=>[2,2,2,2,1] [1,6,5,9,2,7,4,8,3]=>01010101=>[2,2,2,2,1] [1,6,7,5,8,4,10,2,9,3]=>001010101=>[3,2,2,2,1] [8,3,6,2,1,5,4,7]=>1011010=>[1,2,1,2,2] [4,5,6,7,8,9,1,10,2,3]=>000001010=>[6,2,2] [2,5,6,7,8,1,9,3,4]=>00001010=>[5,2,2] [4,5,6,7,1,2,8,3,9]=>00010010=>[4,3,2] [1,3,6,7,8,9,2,4,5]=>00000100=>[6,3] [3,5,6,7,8,1,2,9,4]=>00001001=>[5,3,1] [3,2,5,4,7,6,8,10,9,1]=>101010011=>[1,2,2,3,1,1] [3,2,5,4,6,9,7,8,10,1]=>101001001=>[1,2,3,3,1] [3,2,5,4,6,8,7,10,9,1]=>101001011=>[1,2,3,2,1,1] [3,2,5,4,6,7,10,8,9,1]=>101000101=>[1,2,4,2,1] [3,2,4,7,5,6,9,8,10,1]=>100100101=>[1,3,3,2,1] [3,2,4,7,5,6,8,10,9,1]=>100100011=>[1,3,4,1,1] [3,2,4,6,5,9,7,8,10,1]=>100101001=>[1,3,2,3,1] [3,2,4,6,5,8,7,10,9,1]=>100101011=>[1,3,2,2,1,1] [3,2,4,6,5,7,10,8,9,1]=>100100101=>[1,3,3,2,1] [3,2,4,5,9,6,7,8,10,1]=>100010001=>[1,4,4,1] [3,2,4,5,8,6,7,10,9,1]=>100010011=>[1,4,3,1,1] [3,2,4,5,7,6,10,8,9,1]=>100010101=>[1,4,2,2,1] [3,2,4,5,6,10,7,8,9,1]=>100001001=>[1,5,3,1] [2,5,3,4,7,6,9,8,10,1]=>010010101=>[2,3,2,2,1] [2,5,3,4,7,6,8,10,9,1]=>010010011=>[2,3,3,1,1] [2,5,3,4,6,9,7,8,10,1]=>010001001=>[2,4,3,1] [2,5,3,4,6,8,7,10,9,1]=>010001011=>[2,4,2,1,1] [2,5,3,4,6,7,10,8,9,1]=>010000101=>[2,5,2,1] [2,4,3,7,5,6,9,8,10,1]=>010100101=>[2,2,3,2,1] [2,4,3,7,5,6,8,10,9,1]=>010100011=>[2,2,4,1,1] [2,4,3,6,5,9,7,8,10,1]=>010101001=>[2,2,2,3,1] [2,4,3,6,5,7,10,8,9,1]=>010100101=>[2,2,3,2,1] [2,4,3,5,9,6,7,8,10,1]=>010010001=>[2,3,4,1] [2,4,3,5,8,6,7,10,9,1]=>010010011=>[2,3,3,1,1] [2,4,3,5,7,6,10,8,9,1]=>010010101=>[2,3,2,2,1] [2,4,3,5,6,10,7,8,9,1]=>010001001=>[2,4,3,1] [2,3,7,4,5,6,9,8,10,1]=>001000101=>[3,4,2,1] [2,3,7,4,5,6,8,10,9,1]=>001000011=>[3,5,1,1] [2,3,6,4,5,9,7,8,10,1]=>001001001=>[3,3,3,1] [2,3,6,4,5,8,7,10,9,1]=>001001011=>[3,3,2,1,1] [2,3,6,4,5,7,10,8,9,1]=>001000101=>[3,4,2,1] [2,3,5,4,9,6,7,8,10,1]=>001010001=>[3,2,4,1] [2,3,5,4,8,6,7,10,9,1]=>001010011=>[3,2,3,1,1] [2,3,5,4,7,6,10,8,9,1]=>001010101=>[3,2,2,2,1] [2,3,5,4,6,10,7,8,9,1]=>001001001=>[3,3,3,1] [2,3,4,9,5,6,7,8,10,1]=>000100001=>[4,5,1] [2,3,4,8,5,6,7,10,9,1]=>000100011=>[4,4,1,1] [2,3,4,7,5,6,10,8,9,1]=>000100101=>[4,3,2,1] [2,3,4,6,5,10,7,8,9,1]=>000101001=>[4,2,3,1] [3,2,5,4,7,6,8,11,9,10,12,1]=>10101001001=>[1,2,2,3,3,1] [3,2,5,4,6,9,7,8,11,10,12,1]=>10100100101=>[1,2,3,3,2,1] [3,2,5,4,6,8,7,11,9,10,12,1]=>10100101001=>[1,2,3,2,3,1] [3,2,5,4,6,8,7,9,12,10,11,1]=>10100100101=>[1,2,3,3,2,1] [3,2,5,4,6,7,11,8,9,10,12,1]=>10100010001=>[1,2,4,4,1] [3,2,4,7,5,6,9,8,11,10,12,1]=>10010010101=>[1,3,3,2,2,1] [3,2,4,7,5,6,8,11,9,10,12,1]=>10010001001=>[1,3,4,3,1] [3,2,4,6,5,9,7,8,11,10,12,1]=>10010100101=>[1,3,2,3,2,1] [3,2,4,6,5,8,7,11,9,10,12,1]=>10010101001=>[1,3,2,2,3,1] [3,2,4,6,5,8,7,9,12,10,11,1]=>10010100101=>[1,3,2,3,2,1] [3,2,4,6,5,7,11,8,9,10,12,1]=>10010010001=>[1,3,3,4,1] [3,2,4,6,5,7,9,8,12,10,11,1]=>10010010101=>[1,3,3,2,2,1] [3,2,4,6,5,7,8,12,9,10,11,1]=>10010001001=>[1,3,4,3,1] [3,2,4,5,9,6,7,8,11,10,12,1]=>10001000101=>[1,4,4,2,1] [3,2,4,5,8,6,7,11,9,10,12,1]=>10001001001=>[1,4,3,3,1] [3,2,4,5,8,6,7,9,12,10,11,1]=>10001000101=>[1,4,4,2,1] [3,2,4,5,7,6,11,8,9,10,12,1]=>10001010001=>[1,4,2,4,1] [3,2,4,5,7,6,9,8,12,10,11,1]=>10001010101=>[1,4,2,2,2,1] [3,2,4,5,7,6,8,12,9,10,11,1]=>10001001001=>[1,4,3,3,1] [3,2,4,5,6,11,7,8,9,10,12,1]=>10000100001=>[1,5,5,1] [2,5,3,4,7,6,9,8,11,10,12,1]=>01001010101=>[2,3,2,2,2,1] [2,5,3,4,7,6,8,11,9,10,12,1]=>01001001001=>[2,3,3,3,1] [2,5,3,4,7,6,8,9,12,10,11,1]=>01001000101=>[2,3,4,2,1] [2,5,3,4,6,9,7,8,11,10,12,1]=>01000100101=>[2,4,3,2,1] [2,5,3,4,6,9,7,8,10,12,11,1]=>01000100011=>[2,4,4,1,1] [2,5,3,4,6,8,7,11,9,10,12,1]=>01000101001=>[2,4,2,3,1] [2,5,3,4,6,8,7,9,12,10,11,1]=>01000100101=>[2,4,3,2,1] [2,5,3,4,6,7,11,8,9,10,12,1]=>01000010001=>[2,5,4,1] [2,4,3,7,5,6,9,8,11,10,12,1]=>01010010101=>[2,2,3,2,2,1] [2,4,3,7,5,6,8,11,9,10,12,1]=>01010001001=>[2,2,4,3,1] [2,4,3,6,5,9,7,8,11,10,12,1]=>01010100101=>[2,2,2,3,2,1] [2,4,3,6,5,8,7,11,9,10,12,1]=>01010101001=>[2,2,2,2,3,1] [2,4,3,6,5,8,7,9,12,10,11,1]=>01010100101=>[2,2,2,3,2,1] [2,4,3,6,5,7,11,8,9,10,12,1]=>01010010001=>[2,2,3,4,1] [2,4,3,6,5,7,9,8,12,10,11,1]=>01010010101=>[2,2,3,2,2,1] [2,4,3,6,5,7,8,12,9,10,11,1]=>01010001001=>[2,2,4,3,1] [2,4,3,5,9,6,7,8,11,10,12,1]=>01001000101=>[2,3,4,2,1] [2,4,3,5,8,6,7,11,9,10,12,1]=>01001001001=>[2,3,3,3,1] [2,4,3,5,8,6,7,9,12,10,11,1]=>01001000101=>[2,3,4,2,1] [2,4,3,5,7,6,11,8,9,10,12,1]=>01001010001=>[2,3,2,4,1] [2,4,3,5,7,6,9,8,12,10,11,1]=>01001010101=>[2,3,2,2,2,1] [2,4,3,5,7,6,8,12,9,10,11,1]=>01001001001=>[2,3,3,3,1] [2,4,3,5,6,11,7,8,9,10,12,1]=>01000100001=>[2,4,5,1] [2,4,3,5,6,10,7,8,9,12,11,1]=>01000100011=>[2,4,4,1,1] [2,4,3,5,6,9,7,8,12,10,11,1]=>01000100101=>[2,4,3,2,1] [2,4,3,5,6,8,7,12,9,10,11,1]=>01000101001=>[2,4,2,3,1] [2,4,3,5,6,7,12,8,9,10,11,1]=>01000010001=>[2,5,4,1] [2,3,7,4,5,6,9,8,11,10,12,1]=>00100010101=>[3,4,2,2,1] [2,3,7,4,5,6,8,11,9,10,12,1]=>00100001001=>[3,5,3,1] [2,3,6,4,5,9,7,8,11,10,12,1]=>00100100101=>[3,3,3,2,1] [2,3,6,4,5,8,7,11,9,10,12,1]=>00100101001=>[3,3,2,3,1] [2,3,6,4,5,8,7,10,9,12,11,1]=>00100101011=>[3,3,2,2,1,1] [2,3,6,4,5,8,7,9,12,10,11,1]=>00100100101=>[3,3,3,2,1] [2,3,6,4,5,7,11,8,9,10,12,1]=>00100010001=>[3,4,4,1] [2,3,6,4,5,7,9,8,12,10,11,1]=>00100010101=>[3,4,2,2,1] [2,3,6,4,5,7,8,12,9,10,11,1]=>00100001001=>[3,5,3,1] [2,3,5,4,9,6,7,8,11,10,12,1]=>00101000101=>[3,2,4,2,1] [2,3,5,4,8,6,7,11,9,10,12,1]=>00101001001=>[3,2,3,3,1] [2,3,5,4,8,6,7,10,9,12,11,1]=>00101001011=>[3,2,3,2,1,1] [2,3,5,4,8,6,7,9,12,10,11,1]=>00101000101=>[3,2,4,2,1] [2,3,5,4,7,6,11,8,9,10,12,1]=>00101010001=>[3,2,2,4,1] [2,3,5,4,7,6,10,8,9,12,11,1]=>00101010011=>[3,2,2,3,1,1] [2,3,5,4,7,6,9,8,12,10,11,1]=>00101010101=>[3,2,2,2,2,1] [2,3,5,4,7,6,8,12,9,10,11,1]=>00101001001=>[3,2,3,3,1] [2,3,5,4,6,11,7,8,9,10,12,1]=>00100100001=>[3,3,5,1] [2,3,5,4,6,9,7,8,12,10,11,1]=>00100100101=>[3,3,3,2,1] [2,3,5,4,6,8,7,12,9,10,11,1]=>00100101001=>[3,3,2,3,1] [2,3,5,4,6,7,12,8,9,10,11,1]=>00100010001=>[3,4,4,1] [2,3,4,9,5,6,7,8,11,10,12,1]=>00010000101=>[4,5,2,1] [2,3,4,9,5,6,7,8,10,12,11,1]=>00010000011=>[4,6,1,1] [2,3,4,8,5,6,7,11,9,10,12,1]=>00010001001=>[4,4,3,1] [2,3,4,8,5,6,7,10,9,12,11,1]=>00010001011=>[4,4,2,1,1] [2,3,4,8,5,6,7,9,12,10,11,1]=>00010000101=>[4,5,2,1] [2,3,4,7,5,6,11,8,9,10,12,1]=>00010010001=>[4,3,4,1] [2,3,4,7,5,6,9,8,12,10,11,1]=>00010010101=>[4,3,2,2,1] [2,3,4,7,5,6,8,12,9,10,11,1]=>00010001001=>[4,4,3,1] [2,3,4,6,5,11,7,8,9,10,12,1]=>00010100001=>[4,2,5,1] [2,3,4,6,5,9,7,8,12,10,11,1]=>00010100101=>[4,2,3,2,1] [2,3,4,6,5,8,7,12,9,10,11,1]=>00010101001=>[4,2,2,3,1] [2,3,4,6,5,7,12,8,9,10,11,1]=>00010010001=>[4,3,4,1] [2,3,4,5,11,6,7,8,9,10,12,1]=>00001000001=>[5,6,1] [1,7,3,6,8,2,5,4]=>0100101=>[2,3,2,1] [4,5,1,8,7,3,6,2]=>0101101=>[2,2,1,2,1] [3,8,5,2,6,7,4,1]=>0110011=>[2,1,3,1,1] [3,6,4,7,5,2,1,8]=>0101110=>[2,2,1,1,2] [5,7,4,1,2,6,8,3]=>0110001=>[2,1,4,1] [2,8,6,7,5,3,1,4]=>0101110=>[2,2,1,1,2] [7,4,5,2,6,3,1,8]=>1010110=>[1,2,2,1,2] [8,6,3,4,5,1,7,2]=>1100101=>[1,1,3,2,1] [8,6,3,5,4,1,7,2]=>1101101=>[1,1,2,1,2,1] [8,7,4,5,1,3,6,2]=>1101001=>[1,1,2,3,1] [8,6,2,5,3,1,4,7]=>1101100=>[1,1,2,1,3] [8,4,7,3,1,2,5,6]=>1011000=>[1,2,1,4] [8,7,3,5,1,6,4,2]=>1101011=>[1,1,2,2,1,1] [4,8,3,2,6,1,7,5]=>0110101=>[2,1,2,2,1] [4,3,7,6,1,5,2,8]=>1011010=>[1,2,1,2,2] [7,5,4,3,6,1,8,2]=>1110101=>[1,1,1,2,2,1] [4,6,8,5,3,1,2,7]=>0011100=>[3,1,1,3] [5,6,8,4,3,7,2,1]=>0011011=>[3,1,2,1,1] [7,5,8,4,2,1,6,3]=>1011101=>[1,2,1,1,2,1] [1,4,8,7,6,2,5,3]=>0011101=>[3,1,1,2,1] [7,2,4,1,5,3,8,6]=>1010101=>[1,2,2,2,1] [8,5,3,4,1,7,2,6]=>1101010=>[1,1,2,2,2] [2,8,5,4,3,6,1,7]=>0111010=>[2,1,1,2,2] [8,6,5,3,1,2,7,4]=>1111001=>[1,1,1,1,3,1] [7,4,6,5,3,2,8,1]=>1011101=>[1,2,1,1,2,1] [5,6,7,2,3,8,4,1]=>0010011=>[3,3,1,1] [8,4,2,6,5,7,3,1]=>1101011=>[1,1,2,2,1,1] [1,7,4,2,8,5,6,3]=>0110101=>[2,1,2,2,1] [3,2,1,7,4,6,8,5]=>1101001=>[1,1,2,3,1] [6,2,5,7,1,4,3,8]=>1001010=>[1,3,2,2] [4,8,5,3,1,2,6,7]=>0111000=>[2,1,1,4] [8,5,2,4,6,1,3,7]=>1100100=>[1,1,3,3] [1,5,3,4,7,2,6,8]=>0100100=>[2,3,3] [8,4,6,1,5,7,3,2]=>1010011=>[1,2,3,1,1] [6,4,7,2,1,3,8,5]=>1011001=>[1,2,1,3,1] [6,7,3,1,2,4,8,5]=>0110001=>[2,1,4,1] [3,1,8,7,6,2,5,4]=>1011101=>[1,2,1,1,2,1] [1,3,8,6,7,2,5,4]=>0010101=>[3,2,2,1] [5,2,3,6,1,8,4,7]=>1001010=>[1,3,2,2] [3,2,6,4,7,1,5,8]=>1010100=>[1,2,2,3] [3,6,2,5,7,8,4,1]=>0100011=>[2,4,1,1] [2,7,4,6,8,3,5,1]=>0100101=>[2,3,2,1] [3,7,6,8,1,5,4,2]=>0101011=>[2,2,2,1,1] [1,5,7,6,8,4,2,3]=>0010110=>[3,2,1,2] [2,7,4,6,8,5,3,1]=>0100111=>[2,3,1,1,1] [3,7,6,8,5,1,4,2]=>0101101=>[2,2,1,2,1] [7,1,3,8,6,2,4,5]=>1001100=>[1,3,1,3] [2,7,1,8,6,5,3,4]=>0101110=>[2,2,1,1,2] [2,3,4,5,7,6,8,9,1]=>00001001=>[5,3,1] [2,3,4,5,7,8,6,9,1]=>00000101=>[6,2,1] [2,3,4,5,8,7,6,9,1]=>00001101=>[5,1,2,1] [2,3,4,5,7,9,8,6,1]=>00000111=>[6,1,1,1] [4,5,6,3,7,8,9,2,1]=>00100011=>[3,4,1,1] [3,4,5,6,2,7,8,9,10,1]=>000100001=>[4,5,1] [2,4,5,6,3,7,8,9,10,1]=>000100001=>[4,5,1] [2,3,5,6,4,7,8,9,10,1]=>000100001=>[4,5,1] [8,1,5,2,6,4,7,3]=>1010101=>[1,2,2,2,1] [4,6,7,5,1,2,3,8]=>0011000=>[3,1,4] [5,3,4,7,6,2,1,8]=>1001110=>[1,3,1,1,2] [4,1,8,5,7,2,6,3]=>1010101=>[1,2,2,2,1] [4,1,8,2,7,5,6,3]=>1010101=>[1,2,2,2,1] [7,6,8,2,4,3,5,1]=>1010101=>[1,2,2,2,1] [7,4,5,3,8,1,6,2]=>1010101=>[1,2,2,2,1] [7,3,6,1,4,2,8,5]=>1010101=>[1,2,2,2,1] [8,7,2,6,4,5,1,3]=>1101010=>[1,1,2,2,2] [1,2,3,4,7,9,5,6,8]=>00000100=>[6,3] [1,2,3,4,6,7,9,5,8]=>00000010=>[7,2] [1,2,3,4,8,5,6,9,7]=>00001001=>[5,3,1] [1,2,3,4,7,8,5,9,6]=>00000101=>[6,2,1] [2,6,4,8,3,5,1,7]=>0101010=>[2,2,2,2] [1,4,8,5,3,2,7,6]=>0011101=>[3,1,1,2,1] [3,5,8,4,6,7,1,2]=>0010010=>[3,3,2] [1,2,4,8,5,7,3,6]=>0001010=>[4,2,2] [7,3,4,1,8,2,5,6]=>1010100=>[1,2,2,3] [5,6,3,1,8,2,4,7]=>0110100=>[2,1,2,3] [7,3,6,5,1,8,4,2]=>1011011=>[1,2,1,2,1,1] [5,7,2,1,4,8,6,3]=>0110011=>[2,1,3,1,1] [7,6,3,5,2,1,8,4]=>1101101=>[1,1,2,1,2,1] [7,3,2,5,1,6,8,4]=>1101001=>[1,1,2,3,1] [3,5,1,7,6,4,8,2]=>0101101=>[2,2,1,2,1] [8,7,4,2,1,6,5,3]=>1111011=>[1,1,1,1,2,1,1] [5,4,7,6,2,1,8,3]=>1011101=>[1,2,1,1,2,1] [3,5,2,8,7,1,6,4]=>0101101=>[2,2,1,2,1] [3,7,6,5,4,1,8,2]=>0111101=>[2,1,1,1,2,1] [4,6,5,3,1,8,7,2]=>0111011=>[2,1,1,2,1,1] [4,5,2,6,7,3,8,1]=>0100101=>[2,3,2,1] [9,3,10,1,2,4,5,6,7,8]=>101000000=>[1,2,7] [10,3,1,9,2,4,5,6,7,8]=>110100000=>[1,1,2,6] [3,1,4,10,2,5,6,7,8,9]=>100100000=>[1,3,6] [8,6,7,4,3,1,5,2]=>1011101=>[1,2,1,1,2,1] [4,7,1,8,5,3,2,6]=>0101110=>[2,2,1,1,2] [8,6,7,1,4,3,5,2]=>1010101=>[1,2,2,2,1] [8,6,7,2,1,3,5,4]=>1011001=>[1,2,1,3,1] [8,5,6,1,7,4,2,3]=>1010110=>[1,2,2,1,2] [6,4,1,2,5,7,8,3]=>1100001=>[1,1,5,1] [6,1,5,4,2,7,3,8]=>1011010=>[1,2,1,2,2] [6,4,2,3,1,7,5,8]=>1101010=>[1,1,2,2,2] [3,4,6,1,8,2,7,5]=>0010101=>[3,2,2,1] [5,3,1,4,7,6,2,8]=>1100110=>[1,1,3,1,2] [6,4,5,2,7,1,3,8]=>1010100=>[1,2,2,3] [7,4,3,5,1,6,2,8]=>1101010=>[1,1,2,2,2] [7,5,3,6,2,1,4,8]=>1101100=>[1,1,2,1,3] [6,4,3,7,1,8,2,5]=>1101010=>[1,1,2,2,2] [3,1,2,7,6,4,5,8]=>1001100=>[1,3,1,3] [5,1,2,7,6,3,4,8]=>1001100=>[1,3,1,3] [5,6,1,7,2,4,3,8]=>0101010=>[2,2,2,2] [3,5,6,8,1,2,7,4]=>0001001=>[4,3,1] [2,6,5,7,1,3,4,8]=>0101000=>[2,2,4] [2,3,7,1,5,6,4,8]=>0010010=>[3,3,2] [2,6,5,3,4,1,7,8]=>0110100=>[2,1,2,3] [2,6,1,3,5,4,7,8]=>0100100=>[2,3,3] [4,6,1,5,2,8,7,3]=>0101011=>[2,2,2,1,1] [6,1,5,4,2,7,8,3]=>1011001=>[1,2,1,3,1] [4,6,1,5,2,7,8,3]=>0101001=>[2,2,3,1] [2,8,6,5,1,3,7,4]=>0111001=>[2,1,1,3,1] [5,1,8,6,2,7,4,3]=>1011011=>[1,2,1,2,1,1] [3,6,8,2,7,5,1,4]=>0010110=>[3,2,1,2] [5,6,4,1,7,2,8,3]=>0110101=>[2,1,2,2,1] [8,1,6,3,4,2,5,7]=>1010100=>[1,2,2,3] [7,4,2,3,1,6,8,5]=>1101001=>[1,1,2,3,1] [9,8,10,7,6,5,4,3,1,2]=>101111110=>[1,2,1,1,1,1,1,2] [8,7,9,6,5,4,2,1,3]=>10111110=>[1,2,1,1,1,1,2] [8,9,7,6,5,4,2,1,3]=>01111110=>[2,1,1,1,1,1,2] [8,9,7,6,5,4,2,3,1]=>01111101=>[2,1,1,1,1,2,1] [8,9,1,2,3,4,5,6,10,11,7]=>0100000001=>[2,8,1] [10,7,1,2,3,4,8,9,5,6]=>110000010=>[1,1,6,2] [1,6,4,5,7,3,2,8]=>0100110=>[2,3,1,2] [1,6,4,5,7,2,8,3]=>0100101=>[2,3,2,1] [1,7,5,6,4,8,3,2]=>0101011=>[2,2,2,1,1] [1,5,6,7,3,2,4,8]=>0001100=>[4,1,3] [8,2,4,3,1,7,5,6]=>1011010=>[1,2,1,2,2] [8,2,1,4,3,7,5,6]=>1101010=>[1,1,2,2,2] [7,6,8,2,1,5,3,4]=>1011010=>[1,2,1,2,2] [8,6,2,5,1,3,7,4]=>1101001=>[1,1,2,3,1] [5,7,2,6,4,1,8,3]=>0101101=>[2,2,1,2,1] [4,5,6,1,3,8,2,7]=>0010010=>[3,3,2] [6,3,5,7,4,2,8,1]=>1001101=>[1,3,1,2,1] [7,6,4,8,5,3,1,2]=>1101110=>[1,1,2,1,1,2] [8,2,1,6,4,7,3,5]=>1101010=>[1,1,2,2,2] [1,3,8,6,5,2,7,4]=>0011101=>[3,1,1,2,1] [2,7,3,8,5,6,4,1]=>0101011=>[2,2,2,1,1] [1,2,8,5,7,4,6,3]=>0010101=>[3,2,2,1] [1,6,8,5,4,7,2,3]=>0011010=>[3,1,2,2] [5,7,1,8,3,2,6,4]=>0101101=>[2,2,1,2,1] [2,1,3,8,6,4,7,5]=>1001101=>[1,3,1,2,1] [8,2,5,4,3,7,1,6]=>1011010=>[1,2,1,2,2] [5,8,4,3,7,6,2,1]=>0110111=>[2,1,2,1,1,1] [8,1,5,3,4,7,2,6]=>1010010=>[1,2,3,2] [6,1,8,7,4,5,3,2]=>1011011=>[1,2,1,2,1,1] [1,5,8,6,4,3,7,2]=>0011101=>[3,1,1,2,1] [5,8,6,4,2,1,7,3]=>0111101=>[2,1,1,1,2,1] [2,6,1,8,4,7,5,3]=>0101011=>[2,2,2,1,1] [5,3,8,6,1,2,7,4]=>1011001=>[1,2,1,3,1] [5,8,1,4,6,2,7,3]=>0100101=>[2,3,2,1] [3,7,6,2,1,4,8,5]=>0111001=>[2,1,1,3,1] [4,6,2,3,7,1,8,5]=>0100101=>[2,3,2,1] [6,8,7,5,1,3,4,2]=>0111001=>[2,1,1,3,1] [6,4,3,2,7,8,5,1]=>1110011=>[1,1,1,3,1,1] [2,7,6,1,5,3,8,4]=>0110101=>[2,1,2,2,1] [7,8,6,4,2,5,3,1]=>0111011=>[2,1,1,2,1,1] [6,4,5,8,7,1,3,2]=>1001101=>[1,3,1,2,1] [6,4,1,7,8,3,2,5]=>1100110=>[1,1,3,1,2] [2,3,4,5,8,6,7,9,1]=>00001001=>[5,3,1] [2,3,4,5,9,6,8,7,1]=>00001011=>[5,2,1,1] [9,3,4,5,2,6,7,8,1]=>10010001=>[1,3,4,1] [6,2,3,4,5,7,8,9,10,1]=>100000001=>[1,8,1] [2,6,3,4,5,7,8,9,10,1]=>010000001=>[2,7,1] [2,3,6,4,5,7,8,9,10,1]=>001000001=>[3,6,1] [6,4,3,8,7,2,5,1]=>1101101=>[1,1,2,1,2,1] [5,4,7,2,1,3,8,6]=>1011001=>[1,2,1,3,1] [7,8,2,3,4,5,1,6,9]=>01000100=>[2,4,3] [1,8,9,3,4,5,6,2,7]=>00100010=>[3,4,2] [2,6,4,5,7,1,8,3]=>0100101=>[2,3,2,1] [3,7,4,6,1,5,8,2]=>0101001=>[2,2,3,1] [3,4,6,5,2,8,1,7]=>0011010=>[3,1,2,2] [4,6,7,5,8,2,1,3]=>0010110=>[3,2,1,2] [2,5,7,6,4,1,8,3]=>0011101=>[3,1,1,2,1] [5,1,4,6,2,7,8,3]=>1001001=>[1,3,3,1] [1,2,5,3,7,8,6,4]=>0010011=>[3,3,1,1] [4,8,3,5,1,2,7,6]=>0101001=>[2,2,3,1] [6,1,3,7,2,8,4,5]=>1001010=>[1,3,2,2] [3,8,5,4,1,7,2,6]=>0111010=>[2,1,1,2,2] [3,1,5,8,2,6,7,4]=>1001001=>[1,3,3,1] [2,8,5,3,1,7,4,6]=>0111010=>[2,1,1,2,2] [6,5,2,3,7,1,8,4]=>1100101=>[1,1,3,2,1] [7,2,1,6,4,8,3,5]=>1101010=>[1,1,2,2,2] [2,1,3,7,5,8,4,6]=>1001010=>[1,3,2,2] [6,2,4,5,7,1,8,3]=>1000101=>[1,4,2,1] [2,3,8,7,1,4,6,5]=>0011001=>[3,1,3,1] [4,2,7,5,6,8,1,3]=>1010010=>[1,2,3,2] [2,1,3,4,5,8,6,7,9]=>10000100=>[1,5,3] [6,8,2,5,4,7,3,1]=>0101011=>[2,2,2,1,1] [9,2,3,4,5,1,6,7,8]=>10001000=>[1,4,4] [7,2,3,4,5,6,9,1,8]=>10000010=>[1,6,2] [10,2,3,4,5,6,7,1,8,9]=>100000100=>[1,6,3] [6,2,3,4,5,9,1,7,8]=>10000100=>[1,5,3] [10,2,3,4,5,6,1,7,8,9]=>100001000=>[1,5,4] [5,2,3,4,9,1,6,7,8]=>10001000=>[1,4,4] [10,2,3,4,5,1,6,7,8,9]=>100010000=>[1,4,5] [4,2,3,9,1,5,6,7,8]=>10010000=>[1,3,5] [10,2,3,4,1,5,6,7,8,9]=>100100000=>[1,3,6] [3,2,9,1,4,5,6,7,8]=>10100000=>[1,2,6] [2,7,6,3,8,4,5,1]=>0110101=>[2,1,2,2,1] [4,6,8,2,3,1,7,5]=>0010101=>[3,2,2,1] [4,7,2,3,5,1,8,6]=>0100101=>[2,3,2,1] [6,4,2,1,3,7,5,8]=>1110010=>[1,1,1,3,2] [2,8,1,3,4,5,6,10,7,9]=>010000010=>[2,6,2] [10,7,1,2,3,4,5,9,6,8]=>110000010=>[1,1,6,2] [5,3,2,7,6,1,8,4]=>1101101=>[1,1,2,1,2,1] [5,6,4,2,8,7,1,3]=>0110110=>[2,1,2,1,2] [5,7,4,2,6,1,8,3]=>0110101=>[2,1,2,2,1] [5,4,7,1,6,2,8,3]=>1010101=>[1,2,2,2,1] [4,5,8,7,6,2,1,3]=>0011110=>[3,1,1,1,2] [6,4,7,1,2,3,8,5]=>1010001=>[1,2,4,1] [4,5,6,8,2,9,3,10,7,1]=>000101011=>[4,2,2,1,1] [10,4,5,6,9,3,8,2,7,1]=>100010101=>[1,4,2,2,1] [4,5,10,6,9,3,8,2,7,1]=>001010101=>[3,2,2,2,1] [4,5,8,2,6,10,9,3,7,1]=>001001101=>[3,3,1,2,1] [10,6,9,5,4,3,8,2,7,1]=>101110101=>[1,2,1,1,2,2,1] [8,2,6,10,9,5,4,3,7,1]=>100111101=>[1,3,1,1,1,2,1] [8,2,10,4,5,6,7,1,9,3]=>101000101=>[1,2,4,2,1] [4,5,6,8,2,10,7,1,9,3]=>000101101=>[4,2,1,2,1] [10,4,5,6,8,2,7,1,9,3]=>100010101=>[1,4,2,2,1] [4,5,10,6,8,2,7,1,9,3]=>001010101=>[3,2,2,2,1] [4,5,10,8,2,6,7,1,9,3]=>001100101=>[3,1,3,2,1] [10,6,8,2,7,1,9,5,4,3]=>101010111=>[1,2,2,2,1,1,1] [10,8,2,6,7,1,9,5,4,3]=>110010111=>[1,1,3,2,1,1,1] [8,2,7,1,9,3,10,4,5,6]=>101010100=>[1,2,2,2,3] [4,5,8,2,7,1,9,3,10,6]=>001010101=>[3,2,2,2,1] [4,5,9,3,10,7,1,8,2,6]=>001011010=>[3,2,1,2,2] [4,5,7,1,9,3,8,2,6,10]=>001010100=>[3,2,2,3] [8,2,7,1,9,5,4,3,10,6]=>101011101=>[1,2,2,1,1,2,1] [9,5,4,3,10,7,1,8,2,6]=>111011010=>[1,1,1,2,1,2,2] [7,1,9,5,4,3,8,2,6,10]=>101110100=>[1,2,1,1,2,3] [8,2,6,10,4,5,7,1,9,3]=>100100101=>[1,3,3,2,1] [4,8,2,6,10,5,7,1,9,3]=>010010101=>[2,3,2,2,1] [4,10,8,2,5,6,7,1,9,3]=>011000101=>[2,1,4,2,1] [8,2,6,10,5,7,1,9,4,3]=>100101011=>[1,3,2,2,1,1] [10,8,2,5,6,7,1,9,4,3]=>110001011=>[1,1,4,2,1,1] [9,3,10,4,5,7,1,8,2,6]=>101001010=>[1,2,3,2,2] [4,9,3,10,5,7,1,8,2,6]=>010101010=>[2,2,2,2,2] [4,9,3,10,7,1,8,2,5,6]=>010110100=>[2,2,1,2,3] [4,7,1,9,3,8,2,5,6,10]=>010101000=>[2,2,2,4] [9,4,3,10,5,7,1,8,2,6]=>110101010=>[1,1,2,2,2,2] [9,4,3,10,7,1,8,2,5,6]=>110110100=>[1,1,2,1,2,3] [7,1,9,4,3,8,2,5,6,10]=>101101000=>[1,2,1,2,4] [5,10,7,1,8,2,4,3,9,6]=>011010101=>[2,1,2,2,2,1] [5,7,1,8,2,4,3,9,6,10]=>010101010=>[2,2,2,2,2] [10,5,7,1,9,4,2,6,8,3]=>101011001=>[1,2,2,1,3,1] [9,4,2,5,6,7,1,10,8,3]=>110001011=>[1,1,4,2,1,1] [10,5,7,1,8,3,9,4,2,6]=>101010110=>[1,2,2,2,1,2] [10,7,1,8,3,9,4,2,5,6]=>110101100=>[1,1,2,2,1,3] [7,1,8,3,9,4,2,5,6,10]=>101011000=>[1,2,2,1,4] [4,2,5,10,7,1,8,3,9,6]=>100110101=>[1,3,1,2,2,1] [4,2,5,7,1,8,3,9,6,10]=>100101010=>[1,3,2,2,2] [1,8,7,2,3,4,6,5]=>0110001=>[2,1,4,1] [1,8,3,7,6,2,5,4]=>0101101=>[2,2,1,2,1] [1,3,8,2,5,6,4,7]=>0010010=>[3,3,2] [1,3,2,7,4,6,8,5]=>0101001=>[2,2,3,1] [1,3,8,4,6,2,7,5]=>0010101=>[3,2,2,1] [8,2,3,6,7,4,5,1]=>1000101=>[1,4,2,1] [5,6,4,2,1,7,3,8]=>0111010=>[2,1,1,2,2] [2,5,7,6,3,8,4,1]=>0011011=>[3,1,2,1,1] [6,4,7,1,2,5,3,8]=>1010010=>[1,2,3,2] [4,5,6,7,8,9,1,2,10,3]=>000001001=>[6,3,1] [4,5,6,7,8,1,3,9,2]=>00001001=>[5,3,1] [1,2,7,5,8,6,3,4]=>0010110=>[3,2,1,2] [2,1,9,8,7,6,5,3,4]=>10111110=>[1,2,1,1,1,1,2] [2,1,9,8,7,6,4,3,5]=>10111110=>[1,2,1,1,1,1,2] [2,1,9,8,7,6,3,5,4]=>10111101=>[1,2,1,1,1,2,1] [2,1,10,9,8,7,6,5,3,4]=>101111110=>[1,2,1,1,1,1,1,2] [7,4,5,1,6,8,2,3]=>1010010=>[1,2,3,2] [1,7,8,4,2,6,3,5]=>0011010=>[3,1,2,2] [6,3,2,5,7,4,1,8]=>1100110=>[1,1,3,1,2] [6,2,1,5,3,7,8,4]=>1101001=>[1,1,2,3,1] [6,2,5,1,3,8,7,4]=>1010011=>[1,2,3,1,1] [6,2,8,5,1,3,7,4]=>1011001=>[1,2,1,3,1] [10,9,7,3,6,1,2,4,8,5]=>111010001=>[1,1,1,2,4,1] [9,7,3,6,1,2,4,10,8,5]=>110100011=>[1,1,2,4,1,1] [7,3,10,9,6,1,2,4,8,5]=>101110001=>[1,2,1,1,4,1] [7,3,9,6,1,2,4,10,8,5]=>101100011=>[1,2,1,4,1,1] [9,6,1,2,4,10,7,3,8,5]=>110001101=>[1,1,4,1,2,1] [8,4,10,9,7,3,6,1,2,5]=>101110100=>[1,2,1,1,2,3] [10,8,4,9,7,3,6,1,2,5]=>110110100=>[1,1,2,1,2,3] [7,3,8,4,10,9,6,1,2,5]=>101011100=>[1,2,2,1,1,3] [7,3,10,8,4,9,6,1,2,5]=>101101100=>[1,2,1,2,1,3] [10,7,3,8,4,9,6,1,2,5]=>110101100=>[1,1,2,2,1,3] [6,1,2,7,3,8,4,10,9,5]=>100101011=>[1,3,2,2,1,1] [6,1,2,7,3,10,8,4,9,5]=>100101101=>[1,3,2,1,2,1] [6,1,2,10,7,3,8,4,9,5]=>100110101=>[1,3,1,2,2,1] [10,6,1,2,7,3,8,4,9,5]=>110010101=>[1,1,3,2,2,1] [6,1,3,10,9,7,2,4,8,5]=>100111001=>[1,3,1,1,3,1] [6,1,3,9,7,2,4,10,8,5]=>100110011=>[1,3,1,3,1,1] [10,9,6,1,3,7,2,4,8,5]=>111001001=>[1,1,1,3,3,1] [9,6,1,3,7,2,4,10,8,5]=>110010011=>[1,1,3,3,1,1] [10,7,2,4,9,6,1,3,8,5]=>110011001=>[1,1,3,1,3,1] [6,1,3,8,4,10,9,7,2,5]=>100101110=>[1,3,2,1,1,2] [6,1,3,10,8,4,9,7,2,5]=>100110110=>[1,3,1,2,1,2] [8,4,10,9,6,1,3,7,2,5]=>101110010=>[1,2,1,1,3,2] [10,8,4,9,6,1,3,7,2,5]=>110110010=>[1,1,2,1,3,2] [9,6,1,3,8,4,10,7,2,5]=>110010110=>[1,1,3,2,1,2] [7,2,6,1,3,8,4,10,9,5]=>101001011=>[1,2,3,2,1,1] [7,2,6,1,3,10,8,4,9,5]=>101001101=>[1,2,3,1,2,1] [10,7,2,6,1,3,8,4,9,5]=>110100101=>[1,1,2,3,2,1] [7,2,10,6,1,3,8,4,9,5]=>101100101=>[1,2,1,3,2,1] [8,3,6,1,4,10,9,7,2,5]=>101001110=>[1,2,3,1,1,2] [10,8,3,6,1,4,9,7,2,5]=>110100110=>[1,1,2,3,1,2] [10,9,6,1,4,8,3,7,2,5]=>111001010=>[1,1,1,3,2,2] [9,6,1,4,10,8,3,7,2,5]=>110011010=>[1,1,3,1,2,2] [8,3,9,6,1,4,10,7,2,5]=>101100110=>[1,2,1,3,1,2] [8,3,7,2,6,1,4,10,9,5]=>101010011=>[1,2,2,3,1,1] [10,8,3,7,2,6,1,4,9,5]=>110101001=>[1,1,2,2,3,1] [8,3,10,7,2,6,1,4,9,5]=>101101001=>[1,2,1,2,3,1] [7,2,8,3,10,6,1,4,9,5]=>101011001=>[1,2,2,1,3,1] [9,4,10,8,3,7,2,6,1,5]=>101101010=>[1,2,1,2,2,2] [8,3,9,4,10,7,2,6,1,5]=>101011010=>[1,2,2,1,2,2] [7,2,8,3,9,4,10,6,1,5]=>101010110=>[1,2,2,2,1,2] [11,9,5,12,10,7,1,2,4,8,3,6]=>11011100010=>[1,1,2,1,1,4,2] [10,7,1,2,4,9,5,12,11,8,3,6]=>11000101110=>[1,1,4,2,1,1,2] [11,8,3,7,1,2,4,9,5,12,10,6]=>11010001011=>[1,1,2,4,2,1,1] [12,10,5,11,9,4,8,3,7,1,2,6]=>11011010100=>[1,1,2,1,2,2,3] [12,9,4,10,5,11,8,3,7,1,2,6]=>11010110100=>[1,1,2,2,1,2,3] [12,8,3,9,4,10,5,11,7,1,2,6]=>11010101100=>[1,1,2,2,2,1,3] [12,10,4,9,3,8,2,7,1,5,11,6]=>11010101001=>[1,1,2,2,2,3,1] [10,4,12,9,3,8,2,7,1,5,11,6]=>10110101001=>[1,2,1,2,2,3,1] [9,3,10,4,12,8,2,7,1,5,11,6]=>10101101001=>[1,2,2,1,2,3,1] [8,2,9,3,10,4,12,7,1,5,11,6]=>10101011001=>[1,2,2,2,1,3,1] [12,11,5,10,4,9,3,8,2,7,1,6]=>11010101010=>[1,1,2,2,2,2,2] [11,5,12,10,4,9,3,8,2,7,1,6]=>10110101010=>[1,2,1,2,2,2,2] [10,4,11,5,12,9,3,8,2,7,1,6]=>10101101010=>[1,2,2,1,2,2,2] [9,3,10,4,11,5,12,8,2,7,1,6]=>10101011010=>[1,2,2,2,1,2,2] [8,2,9,3,10,4,11,5,12,7,1,6]=>10101010110=>[1,2,2,2,2,1,2] [4,1,7,8,3,6,5,2]=>1001011=>[1,3,2,1,1] [6,4,2,1,7,3,5,8]=>1110100=>[1,1,1,2,3] [5,8,4,2,1,3,6,7]=>0111000=>[2,1,1,4] [4,5,3,6,7,8,9,1,2]=>01000010=>[2,5,2] [5,3,4,6,7,8,9,1,2]=>10000010=>[1,6,2] [1,7,5,8,4,3,6,2]=>0101101=>[2,2,1,2,1] [5,8,1,6,4,7,2,3]=>0101010=>[2,2,2,2] [2,4,7,5,1,8,6,3]=>0011011=>[3,1,2,1,1] [2,3,7,1,8,5,6,4]=>0010101=>[3,2,2,1] [6,5,1,2,7,4,8,3]=>1100101=>[1,1,3,2,1] [3,6,5,7,8,2,4,1]=>0100101=>[2,3,2,1] [3,6,5,1,8,7,4,2]=>0110111=>[2,1,2,1,1,1] [7,8,1,2,5,4,3,6]=>0100110=>[2,3,1,2] [2,8,4,3,5,1,7,6]=>0110101=>[2,1,2,2,1] [5,2,4,7,6,8,1,3]=>1001010=>[1,3,2,2] [3,1,5,7,4,8,6,2]=>1001011=>[1,3,2,1,1] [4,1,7,6,8,2,5,3]=>1010101=>[1,2,2,2,1] [7,2,6,4,1,5,3,8]=>1011010=>[1,2,1,2,2] [1,2,6,5,8,3,7,4]=>0010101=>[3,2,2,1] [7,3,5,6,1,4,2,8]=>1001010=>[1,3,2,2] [5,8,3,1,6,7,4,2]=>0110011=>[2,1,3,1,1] [4,5,8,1,7,3,6,2]=>0010101=>[3,2,2,1] [4,7,1,6,8,5,2,3]=>0100110=>[2,3,1,2] [5,8,7,1,6,4,2,3]=>0110110=>[2,1,2,1,2] [1,7,3,8,2,5,4,6]=>0101010=>[2,2,2,2] [8,4,1,3,6,7,5,2]=>1100011=>[1,1,4,1,1] [5,3,1,8,6,7,4,2]=>1101011=>[1,1,2,2,1,1] [6,2,7,1,4,3,5,8]=>1010100=>[1,2,2,3] [9,5,4,3,2,1,6,7,8]=>11111000=>[1,1,1,1,1,4] [10,3,4,1,2,5,6,7,8,9]=>101000000=>[1,2,7] [8,3,2,6,5,1,7,4]=>1101101=>[1,1,2,1,2,1] [7,3,2,6,5,1,4,8]=>1101100=>[1,1,2,1,3] [2,6,8,4,7,1,3,5]=>0010100=>[3,2,3] [7,8,6,3,2,5,4,1]=>0111011=>[2,1,1,2,1,1] [5,2,8,6,3,1,4,7]=>1011100=>[1,2,1,1,3] [1,6,4,8,2,3,5,7]=>0101000=>[2,2,4] [2,8,5,6,4,1,7,3]=>0101101=>[2,2,1,2,1] [1,4,7,3,5,8,6,2]=>0010011=>[3,3,1,1] [3,7,8,2,5,1,6,4]=>0010101=>[3,2,2,1] [8,6,1,4,3,2,7,5]=>1101101=>[1,1,2,1,2,1] [7,3,8,2,4,1,5,6]=>1010100=>[1,2,2,3] [6,3,7,8,1,2,5,4]=>1001001=>[1,3,3,1] [7,6,1,5,2,3,8,4]=>1101001=>[1,1,2,3,1] [5,1,8,6,7,2,3,4]=>1010100=>[1,2,2,3] [5,7,1,6,8,2,3,4]=>0100100=>[2,3,3] [6,8,4,2,1,7,3,5]=>0111010=>[2,1,1,2,2] [6,3,2,8,1,7,4,5]=>1101010=>[1,1,2,2,2] [6,4,1,3,7,8,5,2]=>1100011=>[1,1,4,1,1] [6,8,5,4,3,7,1,2]=>0111010=>[2,1,1,2,2] [5,7,4,8,3,1,2,6]=>0101100=>[2,2,1,3] [6,1,2,4,8,3,7,5]=>1000101=>[1,4,2,1] [2,5,6,8,1,4,7,3]=>0001001=>[4,3,1] [7,4,1,6,5,2,3,8]=>1101100=>[1,1,2,1,3] [4,1,6,5,2,3,8,7]=>1011001=>[1,2,1,3,1] [4,5,1,7,8,6,2,3]=>0100110=>[2,3,1,2] [8,5,7,3,4,6,2,1]=>1010011=>[1,2,3,1,1] [6,8,7,4,3,5,2,1]=>0111011=>[2,1,1,2,1,1] [6,8,7,5,3,4,2,1]=>0111011=>[2,1,1,2,1,1] [5,8,6,2,4,7,3,1]=>0110011=>[2,1,3,1,1] [4,8,6,2,5,7,3,1]=>0110011=>[2,1,3,1,1] [1,6,4,7,5,3,2,8]=>0101110=>[2,2,1,1,2] [1,6,5,3,2,7,4,8]=>0111010=>[2,1,1,2,2] [1,6,8,7,4,5,3,2]=>0011011=>[3,1,2,1,1] [1,4,7,5,3,2,6,8]=>0011100=>[3,1,1,3] [1,7,5,4,3,2,8,6]=>0111101=>[2,1,1,1,2,1] [1,4,7,5,3,2,8,6]=>0011101=>[3,1,1,2,1] [1,7,4,6,8,5,3,2]=>0100111=>[2,3,1,1,1] [6,8,7,2,3,5,4,1]=>0110011=>[2,1,3,1,1] [5,7,6,1,8,2,4,3]=>0110101=>[2,1,2,2,1] [4,8,6,5,7,2,3,1]=>0110101=>[2,1,2,2,1] [2,7,8,5,1,4,3,6]=>0011010=>[3,1,2,2] [8,5,6,2,4,7,3,1]=>1010011=>[1,2,3,1,1] [3,5,8,4,2,6,1,7]=>0011010=>[3,1,2,2] [8,1,3,6,4,5,2,7]=>1001010=>[1,3,2,2] [1,2,3,7,4,8,5,9,6]=>00010101=>[4,2,2,1] [1,2,3,4,7,5,9,8,6]=>00001011=>[5,2,1,1] [1,2,6,3,7,4,9,8,5]=>00101011=>[3,2,2,1,1] [1,2,3,8,6,4,9,7,5]=>00011011=>[4,1,2,1,1] [1,2,3,6,4,9,8,7,5]=>00010111=>[4,2,1,1,1] [5,1,6,2,7,3,9,8,4]=>10101011=>[1,2,2,2,1,1] [1,5,2,8,6,3,9,7,4]=>01011011=>[2,2,1,2,1,1] [1,5,2,6,3,9,8,7,4]=>01010111=>[2,2,2,1,1,1] [1,2,7,5,3,9,8,6,4]=>00110111=>[3,1,2,1,1,1] [1,2,5,3,9,8,7,6,4]=>00101111=>[3,2,1,1,1,1] [4,1,7,5,2,9,8,6,3]=>10110111=>[1,2,1,2,1,1,1] [4,1,5,2,9,8,7,6,3]=>10101111=>[1,2,2,1,1,1,1] [1,6,4,2,9,8,7,5,3]=>01101111=>[2,1,2,1,1,1,1] [1,4,2,9,8,7,6,5,3]=>01011111=>[2,2,1,1,1,1,1] [7,5,3,1,9,8,6,4,2]=>11101111=>[1,1,1,2,1,1,1,1] [5,3,1,9,8,7,6,4,2]=>11011111=>[1,1,2,1,1,1,1,1] [1,2,3,4,8,5,9,6,10,7]=>000010101=>[5,2,2,1] [1,2,3,4,5,8,6,10,9,7]=>000001011=>[6,2,1,1] [1,2,3,7,4,8,5,10,9,6]=>000101011=>[4,2,2,1,1] [1,2,3,4,9,7,5,10,8,6]=>000011011=>[5,1,2,1,1] [1,2,3,4,7,5,10,9,8,6]=>000010111=>[5,2,1,1,1] [1,6,2,7,3,8,4,10,9,5]=>010101011=>[2,2,2,2,1,1] [1,2,6,3,9,7,4,10,8,5]=>001011011=>[3,2,1,2,1,1] [1,2,6,3,7,4,10,9,8,5]=>001010111=>[3,2,2,1,1,1] [1,2,3,8,6,4,10,9,7,5]=>000110111=>[4,1,2,1,1,1] [1,2,3,6,4,10,9,8,7,5]=>000101111=>[4,2,1,1,1,1] [5,1,6,2,9,7,3,10,8,4]=>101011011=>[1,2,2,1,2,1,1] [5,1,6,2,7,3,10,9,8,4]=>101010111=>[1,2,2,2,1,1,1] [1,5,2,6,3,10,9,8,7,4]=>010101111=>[2,2,2,1,1,1,1] [1,2,7,5,3,10,9,8,6,4]=>001101111=>[3,1,2,1,1,1,1] [1,2,5,3,10,9,8,7,6,4]=>001011111=>[3,2,1,1,1,1,1] [7,4,1,8,5,2,10,9,6,3]=>110110111=>[1,1,2,1,2,1,1,1] [4,1,9,7,5,2,10,8,6,3]=>101110111=>[1,2,1,1,2,1,1,1] [4,1,7,5,2,10,9,8,6,3]=>101101111=>[1,2,1,2,1,1,1,1] [4,1,5,2,10,9,8,7,6,3]=>101011111=>[1,2,2,1,1,1,1,1] [1,8,6,4,2,10,9,7,5,3]=>011101111=>[2,1,1,2,1,1,1,1] [1,6,4,2,10,9,8,7,5,3]=>011011111=>[2,1,2,1,1,1,1,1] [1,4,2,10,9,8,7,6,5,3]=>010111111=>[2,2,1,1,1,1,1,1] [7,5,3,1,10,9,8,6,4,2]=>111011111=>[1,1,1,2,1,1,1,1,1] [5,3,1,10,9,8,7,6,4,2]=>110111111=>[1,1,2,1,1,1,1,1,1] [4,3,1,6,2,5,8,7]=>1101001=>[1,1,2,3,1] [7,5,2,1,8,4,3,6]=>1110110=>[1,1,1,2,1,2] [5,3,1,4,7,8,2,6]=>1100010=>[1,1,4,2] [7,1,2,4,8,3,5,6]=>1000100=>[1,4,3] [8,6,1,3,5,7,4,2]=>1100011=>[1,1,4,1,1] [7,1,5,8,2,3,4,6]=>1001000=>[1,3,4] [3,6,8,5,1,4,2,7]=>0011010=>[3,1,2,2] [5,2,4,1,6,8,3,7]=>1010010=>[1,2,3,2] [2,5,3,4,6,8,1,7]=>0100010=>[2,4,2] [4,7,1,2,5,6,3,8]=>0100010=>[2,4,2] [6,7,3,1,8,2,4,5]=>0110100=>[2,1,2,3] [7,3,1,4,6,2,8,5]=>1100101=>[1,1,3,2,1] [7,4,1,2,5,6,3,8]=>1100010=>[1,1,4,2] [5,4,1,3,6,8,7,2]=>1100011=>[1,1,4,1,1] [5,7,4,8,1,6,3,2]=>0101011=>[2,2,2,1,1] [4,3,1,2,5,7,6,8]=>1100010=>[1,1,4,2] [2,3,4,5,8,7,6,1,9]=>00001110=>[5,1,1,2] [1,3,4,5,6,9,8,7,2]=>00000111=>[6,1,1,1] [1,2,3,4,5,8,9,7,6]=>00000011=>[7,1,1] [1,2,3,4,8,9,6,7,5]=>00000101=>[6,2,1] [1,2,3,8,9,5,6,7,4]=>00001001=>[5,3,1] [1,2,4,7,8,5,6,3]=>0000101=>[5,2,1] [1,2,8,9,4,5,6,7,3]=>00010001=>[4,4,1] [8,3,6,5,7,4,2,1]=>1010111=>[1,2,2,1,1,1] [8,2,6,5,7,4,3,1]=>1010111=>[1,2,2,1,1,1] [8,4,7,1,5,2,6,3]=>1010101=>[1,2,2,2,1] [8,2,6,3,7,5,4,1]=>1010111=>[1,2,2,1,1,1] [8,2,5,3,7,6,4,1]=>1010111=>[1,2,2,1,1,1] [8,5,7,1,4,3,6,2]=>1010101=>[1,2,2,2,1] [5,3,1,8,4,2,6,7]=>1101100=>[1,1,2,1,3] [4,5,3,6,8,7,1,2]=>0100110=>[2,3,1,2] [2,1,6,5,8,7,3,4]=>1010110=>[1,2,2,1,2] [6,1,5,4,7,3,8,2]=>1010101=>[1,2,2,2,1] [9,4,2,3,5,6,7,8,1]=>11000001=>[1,1,6,1] [3,1,8,4,2,7,6,5]=>1011011=>[1,2,1,2,1,1] [2,8,7,4,1,3,6,5]=>0111001=>[2,1,1,3,1] [8,2,3,1,7,6,4,5]=>1010110=>[1,2,2,1,2] [8,7,2,3,1,6,4,5]=>1101010=>[1,1,2,2,2] [7,2,5,8,3,1,4,6]=>1001100=>[1,3,1,3] [6,8,2,3,1,7,4,5]=>0101010=>[2,2,2,2] [8,2,5,7,3,1,4,6]=>1001100=>[1,3,1,3] [8,2,7,3,1,4,5,6]=>1011000=>[1,2,1,4] [5,3,2,8,7,1,6,4]=>1101101=>[1,1,2,1,2,1] [8,6,7,4,1,3,5,2]=>1011001=>[1,2,1,3,1] [4,1,3,6,5,2,8,7]=>1001101=>[1,3,1,2,1] [4,6,3,2,5,1,8,7]=>0110101=>[2,1,2,2,1] [4,8,3,2,6,5,7,1]=>0110101=>[2,1,2,2,1] [4,8,3,6,5,2,7,1]=>0101101=>[2,2,1,2,1] [8,1,6,2,5,4,7,3]=>1010101=>[1,2,2,2,1] [2,4,3,8,6,1,7,5]=>0101101=>[2,2,1,2,1] [2,6,3,8,5,4,7,1]=>0101101=>[2,2,1,2,1] [6,1,3,2,5,8,7,4]=>1010011=>[1,2,3,1,1] [6,8,4,2,5,3,7,1]=>0110101=>[2,1,2,2,1] [6,8,4,3,5,2,7,1]=>0110101=>[2,1,2,2,1] [8,1,4,6,5,3,7,2]=>1001101=>[1,3,1,2,1] [1,4,2,5,6,7,9,8,3]=>01000011=>[2,5,1,1] [2,3,4,5,6,7,8,9,1,11,10]=>0000000101=>[8,2,1] [2,1,4,5,6,9,7,3,8]=>10000110=>[1,5,1,2] [3,5,4,6,1,2,8,7]=>0101001=>[2,2,3,1] [3,1,5,2,9,6,7,8,4]=>10101001=>[1,2,2,3,1] [4,5,1,6,8,7,9,2,3]=>01001010=>[2,3,2,2] [1,4,2,5,6,7,8,10,9,3]=>010000011=>[2,6,1,1] [3,4,1,5,6,7,8,9,10,11,2]=>0100000001=>[2,8,1] [1,3,4,5,6,7,8,9,11,2,10]=>0000000010=>[9,2] [2,1,4,5,6,7,10,8,3,9]=>100000110=>[1,6,1,2] [2,3,1,5,9,6,7,4,8]=>01001010=>[2,3,2,2] [1,2,4,5,7,9,6,3,8]=>00000110=>[6,1,2] [3,4,6,5,7,1,2,9,8]=>00101001=>[3,2,3,1] [3,1,9,4,2,6,7,8,5]=>10110001=>[1,2,1,4,1] [7,3,5,6,1,8,2,4]=>1001010=>[1,3,2,2] [1,2,5,3,9,6,8,7,4]=>00101011=>[3,2,2,1,1] [3,1,5,2,6,10,7,8,9,4]=>101001001=>[1,2,3,3,1] [4,5,1,7,6,8,2,9,3]=>01010101=>[2,2,2,2,1] [4,5,1,6,7,9,8,10,2,3]=>010001010=>[2,4,2,2] [1,4,2,5,6,7,8,9,11,10,3]=>0100000011=>[2,7,1,1] [3,4,1,5,6,7,8,9,10,11,12,2]=>01000000001=>[2,9,1] [5,7,6,3,4,2,8,1]=>0110101=>[2,1,2,2,1] [4,6,7,2,3,5,8,1]=>0010001=>[3,4,1] [6,5,4,8,7,2,3,1]=>1101101=>[1,1,2,1,2,1] [7,2,8,3,9,4,10,5,1,6]=>101010110=>[1,2,2,2,1,2] [7,2,8,3,9,4,10,1,5,6]=>101010100=>[1,2,2,2,3] [7,2,8,3,9,10,4,5,1,6]=>101001010=>[1,2,3,2,2] [7,2,8,3,9,10,4,1,5,6]=>101001100=>[1,2,3,1,3] [7,2,8,3,9,10,1,4,5,6]=>101001000=>[1,2,3,4] [7,2,8,9,3,4,10,5,1,6]=>100100110=>[1,3,3,1,2] [7,2,8,9,3,4,10,1,5,6]=>100100100=>[1,3,3,3] [7,2,8,9,3,10,4,5,1,6]=>100101010=>[1,3,2,2,2] [7,2,8,9,3,10,4,1,5,6]=>100101100=>[1,3,2,1,3] [7,2,8,9,3,10,1,4,5,6]=>100101000=>[1,3,2,4] [7,2,8,9,10,3,4,5,1,6]=>100010010=>[1,4,3,2] [7,2,8,9,10,3,4,1,5,6]=>100010100=>[1,4,2,3] [7,2,8,9,10,3,1,4,5,6]=>100011000=>[1,4,1,4] [7,8,2,3,9,4,10,5,1,6]=>010010110=>[2,3,2,1,2] [7,8,2,3,9,4,10,1,5,6]=>010010100=>[2,3,2,3] [7,8,2,3,9,10,4,5,1,6]=>010001010=>[2,4,2,2] [7,8,2,3,9,10,4,1,5,6]=>010001100=>[2,4,1,3] [7,8,2,3,9,10,1,4,5,6]=>010001000=>[2,4,4] [7,8,2,9,3,4,10,5,1,6]=>010100110=>[2,2,3,1,2] [7,8,2,9,3,4,10,1,5,6]=>010100100=>[2,2,3,3] [7,8,2,9,3,10,4,5,1,6]=>010101010=>[2,2,2,2,2] [7,8,2,9,3,10,4,1,5,6]=>010101100=>[2,2,2,1,3] [7,8,2,9,3,10,1,4,5,6]=>010101000=>[2,2,2,4] [7,8,2,9,10,3,4,5,1,6]=>010010010=>[2,3,3,2] [7,8,2,9,10,3,4,1,5,6]=>010010100=>[2,3,2,3] [7,8,2,9,10,3,1,4,5,6]=>010011000=>[2,3,1,4] [7,8,2,9,10,1,3,4,5,6]=>010010000=>[2,3,5] [7,8,9,2,3,4,10,5,1,6]=>001000110=>[3,4,1,2] [7,8,9,2,3,4,10,1,5,6]=>001000100=>[3,4,3] [7,8,9,2,3,10,4,5,1,6]=>001001010=>[3,3,2,2] [7,8,9,2,3,10,4,1,5,6]=>001001100=>[3,3,1,3] [7,8,9,2,3,10,1,4,5,6]=>001001000=>[3,3,4] [7,8,9,2,10,3,4,5,1,6]=>001010010=>[3,2,3,2] [7,8,9,2,10,3,4,1,5,6]=>001010100=>[3,2,2,3] [7,8,9,2,10,3,1,4,5,6]=>001011000=>[3,2,1,4] [7,8,9,2,10,1,3,4,5,6]=>001010000=>[3,2,5] [7,8,9,10,2,3,4,1,5,6]=>000100100=>[4,3,3] [7,8,9,10,2,3,1,4,5,6]=>000101000=>[4,2,4] [7,8,9,10,2,1,3,4,5,6]=>000110000=>[4,1,5] [8,2,9,3,10,4,11,5,12,6,1,7]=>10101010110=>[1,2,2,2,2,1,2] [8,2,9,3,10,4,11,5,12,1,6,7]=>10101010100=>[1,2,2,2,2,3] [8,2,9,3,10,4,11,12,5,6,1,7]=>10101001010=>[1,2,2,3,2,2] [8,2,9,3,10,11,4,5,12,1,6,7]=>10100100100=>[1,2,3,3,3] [8,2,9,3,10,11,4,12,5,6,1,7]=>10100101010=>[1,2,3,2,2,2] [8,2,9,3,10,11,12,4,5,6,1,7]=>10100010010=>[1,2,4,3,2] [8,2,9,3,10,11,12,4,5,1,6,7]=>10100010100=>[1,2,4,2,3] [8,2,9,10,3,4,11,5,12,1,6,7]=>10010010100=>[1,3,3,2,3] [8,2,9,10,3,4,11,12,5,6,1,7]=>10010001010=>[1,3,4,2,2] [8,2,9,10,3,4,11,12,1,5,6,7]=>10010001000=>[1,3,4,4] [8,2,9,10,3,11,4,5,12,1,6,7]=>10010100100=>[1,3,2,3,3] [8,2,9,10,3,11,4,12,5,6,1,7]=>10010101010=>[1,3,2,2,2,2] [8,2,9,10,3,11,12,4,5,6,1,7]=>10010010010=>[1,3,3,3,2] [8,2,9,10,3,11,12,4,5,1,6,7]=>10010010100=>[1,3,3,2,3] [8,2,9,10,11,3,4,5,12,1,6,7]=>10001000100=>[1,4,4,3] [8,2,9,10,11,3,4,12,5,6,1,7]=>10001001010=>[1,4,3,2,2] [8,2,9,10,11,3,4,12,1,5,6,7]=>10001001000=>[1,4,3,4] [8,2,9,10,11,3,12,4,5,6,1,7]=>10001010010=>[1,4,2,3,2] [8,2,9,10,11,3,12,4,5,1,6,7]=>10001010100=>[1,4,2,2,3] [8,2,9,10,11,12,3,4,5,6,1,7]=>10000100010=>[1,5,4,2] [8,2,9,10,11,12,3,4,5,1,6,7]=>10000100100=>[1,5,3,3] [8,2,9,10,11,12,3,4,1,5,6,7]=>10000101000=>[1,5,2,4] [8,9,2,3,10,4,11,5,12,1,6,7]=>01001010100=>[2,3,2,2,3] [8,9,2,3,10,4,11,12,5,6,1,7]=>01001001010=>[2,3,3,2,2] [8,9,2,3,10,4,11,12,1,5,6,7]=>01001001000=>[2,3,3,4] [8,9,2,3,10,11,4,5,12,1,6,7]=>01000100100=>[2,4,3,3] [8,9,2,3,10,11,4,12,5,6,1,7]=>01000101010=>[2,4,2,2,2] [8,9,2,3,10,11,4,12,1,5,6,7]=>01000101000=>[2,4,2,4] [8,9,2,3,10,11,12,4,5,6,1,7]=>01000010010=>[2,5,3,2] [8,9,2,3,10,11,12,4,5,1,6,7]=>01000010100=>[2,5,2,3] [8,9,2,3,10,11,12,1,4,5,6,7]=>01000010000=>[2,5,5] [8,9,2,10,3,4,11,5,12,1,6,7]=>01010010100=>[2,2,3,2,3] [8,9,2,10,3,4,11,12,5,6,1,7]=>01010001010=>[2,2,4,2,2] [8,9,2,10,3,4,11,12,1,5,6,7]=>01010001000=>[2,2,4,4] [8,9,2,10,3,11,4,5,12,1,6,7]=>01010100100=>[2,2,2,3,3] [8,9,2,10,3,11,4,12,5,6,1,7]=>01010101010=>[2,2,2,2,2,2] [8,9,2,10,3,11,4,12,5,1,6,7]=>01010101100=>[2,2,2,2,1,3] [8,9,2,10,3,11,4,12,1,5,6,7]=>01010101000=>[2,2,2,2,4] [8,9,2,10,3,11,12,4,5,6,1,7]=>01010010010=>[2,2,3,3,2] [8,9,2,10,3,11,12,4,5,1,6,7]=>01010010100=>[2,2,3,2,3] [8,9,2,10,11,3,4,5,12,1,6,7]=>01001000100=>[2,3,4,3] [8,9,2,10,11,3,4,12,5,6,1,7]=>01001001010=>[2,3,3,2,2] [8,9,2,10,11,3,4,12,1,5,6,7]=>01001001000=>[2,3,3,4] [8,9,2,10,11,3,12,4,5,6,1,7]=>01001010010=>[2,3,2,3,2] [8,9,2,10,11,3,12,4,5,1,6,7]=>01001010100=>[2,3,2,2,3] [8,9,2,10,11,12,3,4,5,6,1,7]=>01000100010=>[2,4,4,2] [8,9,2,10,11,12,3,4,5,1,6,7]=>01000100100=>[2,4,3,3] [8,9,2,10,11,12,3,4,1,5,6,7]=>01000101000=>[2,4,2,4] [8,9,2,10,11,12,1,3,4,5,6,7]=>01000100000=>[2,4,6] [8,9,10,2,3,4,11,5,12,1,6,7]=>00100010100=>[3,4,2,3] [8,9,10,2,3,4,11,12,5,6,1,7]=>00100001010=>[3,5,2,2] [8,9,10,2,3,4,11,12,1,5,6,7]=>00100001000=>[3,5,4] [8,9,10,2,3,11,4,5,12,1,6,7]=>00100100100=>[3,3,3,3] [8,9,10,2,3,11,4,12,5,6,1,7]=>00100101010=>[3,3,2,2,2] [8,9,10,2,3,11,4,12,1,5,6,7]=>00100101000=>[3,3,2,4] [8,9,10,2,3,11,12,4,5,6,1,7]=>00100010010=>[3,4,3,2] [8,9,10,2,3,11,12,4,5,1,6,7]=>00100010100=>[3,4,2,3] [8,9,10,2,3,11,12,1,4,5,6,7]=>00100010000=>[3,4,5] [8,9,10,2,11,3,4,5,12,1,6,7]=>00101000100=>[3,2,4,3] [8,9,10,2,11,3,4,12,5,6,1,7]=>00101001010=>[3,2,3,2,2] [8,9,10,2,11,3,4,12,1,5,6,7]=>00101001000=>[3,2,3,4] [8,9,10,2,11,3,12,4,5,6,1,7]=>00101010010=>[3,2,2,3,2] [8,9,10,2,11,3,12,4,5,1,6,7]=>00101010100=>[3,2,2,2,3] [8,9,10,2,11,12,3,4,5,6,1,7]=>00100100010=>[3,3,4,2] [8,9,10,2,11,12,3,4,5,1,6,7]=>00100100100=>[3,3,3,3] [8,9,10,2,11,12,3,4,1,5,6,7]=>00100101000=>[3,3,2,4] [8,9,10,11,2,3,4,5,12,1,6,7]=>00010000100=>[4,5,3] [8,9,10,11,2,3,4,12,5,6,1,7]=>00010001010=>[4,4,2,2] [8,9,10,11,2,3,4,12,1,5,6,7]=>00010001000=>[4,4,4] [8,9,10,11,2,3,12,4,5,6,1,7]=>00010010010=>[4,3,3,2] [8,9,10,11,2,3,12,4,5,1,6,7]=>00010010100=>[4,3,2,3] [8,9,10,11,2,3,12,1,4,5,6,7]=>00010010000=>[4,3,5] [8,9,10,11,2,12,3,4,5,6,1,7]=>00010100010=>[4,2,4,2] [8,9,10,11,2,12,3,4,5,1,6,7]=>00010100100=>[4,2,3,3] [8,9,10,11,2,12,3,4,1,5,6,7]=>00010101000=>[4,2,2,4] [8,9,10,11,12,2,3,4,5,6,1,7]=>00001000010=>[5,5,2] [8,9,10,11,12,2,3,4,5,1,6,7]=>00001000100=>[5,4,3] [8,9,10,11,12,2,3,4,1,5,6,7]=>00001001000=>[5,3,4] [8,9,10,11,12,2,3,1,4,5,6,7]=>00001010000=>[5,2,5] [4,8,7,6,5,3,2,1,9]=>01111110=>[2,1,1,1,1,1,2] [5,9,8,7,6,4,3,2,1,10]=>011111110=>[2,1,1,1,1,1,1,2] [5,8,7,4,6,3,2,1,9]=>01101110=>[2,1,2,1,1,2] [8,4,7,6,5,3,2,1,9]=>10111110=>[1,2,1,1,1,1,2] [5,7,4,3,6,2,1,8]=>0110110=>[2,1,2,1,2] [6,9,8,5,7,4,1,3,2]=>01101101=>[2,1,2,1,2,1] [9,8,7,5,1,6,4,3,2]=>11110111=>[1,1,1,1,2,1,1,1] [10,9,8,6,1,7,5,4,3,2]=>111101111=>[1,1,1,1,2,1,1,1,1] [1,2,8,3,4,5,6,9,7]=>00100001=>[3,5,1] [1,9,5,2,3,8,4,6,7]=>01100100=>[2,1,3,3] [1,2,9,3,4,5,6,7,10,8]=>001000001=>[3,6,1] [1,8,2,9,4,3,5,6,7]=>01011000=>[2,2,1,4] [1,3,2,4,9,8,5,6,7]=>01001100=>[2,3,1,3] [2,1,3,4,5,9,8,6,7]=>10000110=>[1,5,1,2] [1,2,3,4,5,9,6,7,10,8]=>000001001=>[6,3,1] [9,1,7,2,3,4,5,8,6]=>10100001=>[1,2,5,1] [1,10,6,2,3,4,9,5,7,8]=>011000100=>[2,1,4,3] [1,2,10,3,4,5,6,7,8,11,9]=>0010000001=>[3,7,1] [1,8,5,2,3,4,6,9,7]=>01100001=>[2,1,5,1] [9,8,1,2,3,5,6,4,7]=>11000010=>[1,1,5,2] [1,5,2,9,3,10,4,6,7,8]=>010101000=>[2,2,2,4] [1,4,2,3,9,5,6,8,7]=>01001001=>[2,3,3,1] [1,8,5,6,2,3,7,4]=>0101001=>[2,2,3,1] [4,9,8,1,2,5,3,6,7]=>01100100=>[2,1,3,3] [1,2,4,3,10,9,5,6,7,8]=>001011000=>[3,2,1,4] [1,3,2,4,5,9,6,8,7]=>01000101=>[2,4,2,1] [1,8,3,9,4,2,5,6,7]=>01011000=>[2,2,1,4] [1,3,2,4,5,10,9,6,7,8]=>010001100=>[2,4,1,3] [1,2,3,4,5,10,6,7,8,11,9]=>0000010001=>[6,4,1] [2,3,1,4,9,8,5,6,7]=>01001100=>[2,3,1,3] [2,1,3,4,5,9,6,10,7,8]=>100001010=>[1,5,2,2] [7,2,4,6,8,1,5,3]=>1000101=>[1,4,2,1] [6,2,5,4,7,8,1,3]=>1010010=>[1,2,3,2] [3,8,2,6,1,7,4,5]=>0101010=>[2,2,2,2] [8,5,6,1,3,2,7,4]=>1010101=>[1,2,2,2,1] [5,3,7,8,2,6,1,4]=>1001010=>[1,3,2,2] [4,5,8,3,6,1,7,2]=>0010101=>[3,2,2,1] [4,5,8,7,2,3,1,6]=>0011010=>[3,1,2,2] [8,2,6,4,3,7,5,1]=>1011011=>[1,2,1,2,1,1] [6,3,1,8,7,4,5,2]=>1101101=>[1,1,2,1,2,1] [8,6,3,2,7,4,5,1]=>1110101=>[1,1,1,2,2,1] [1,3,6,8,7,4,5,2]=>0001101=>[4,1,2,1] [5,7,1,3,6,2,4,8]=>0100100=>[2,3,3] [4,7,5,2,3,6,8,1]=>0110001=>[2,1,4,1] [3,6,4,1,2,5,7,8]=>0110000=>[2,1,5] [4,7,1,3,2,5,8,6]=>0101001=>[2,2,3,1] [4,7,1,3,2,6,8,5]=>0101001=>[2,2,3,1] [5,7,1,3,6,2,8,4]=>0100101=>[2,3,2,1] [6,8,2,5,7,3,1,4]=>0100110=>[2,3,1,2] [4,8,5,2,3,6,1,7]=>0110010=>[2,1,3,2] [5,8,6,3,4,7,2,1]=>0110011=>[2,1,3,1,1] [3,7,5,4,2,8,1,6]=>0111010=>[2,1,1,2,2] [4,6,5,1,7,8,2,3]=>0110010=>[2,1,3,2] [4,7,1,3,2,8,5,6]=>0101010=>[2,2,2,2] [3,6,5,1,8,2,4,7]=>0110100=>[2,1,2,3] [5,8,7,3,4,2,6,1]=>0110101=>[2,1,2,2,1] [8,7,6,5,4,1,9,3,2]=>11111011=>[1,1,1,1,1,2,1,1] [8,7,6,5,2,9,1,3,4]=>11110100=>[1,1,1,1,2,3] [8,7,6,3,9,2,1,4,5]=>11101100=>[1,1,1,2,1,3] [8,7,4,9,3,2,1,6,5]=>11011101=>[1,1,2,1,1,2,1] [8,5,9,4,3,2,1,6,7]=>10111100=>[1,2,1,1,1,3] [6,9,5,4,3,2,1,7,8]=>01111100=>[2,1,1,1,1,3] [9,8,7,6,5,4,1,10,3,2]=>111111011=>[1,1,1,1,1,1,2,1,1] [10,9,8,7,6,5,4,2,1,3,11]=>1111111100=>[1,1,1,1,1,1,1,1,3] [8,7,6,5,2,1,4,3,9]=>11111010=>[1,1,1,1,1,2,2] [9,8,7,6,5,2,10,1,3,4]=>111110100=>[1,1,1,1,1,2,3] [10,9,8,7,6,5,3,2,1,4,11]=>1111111100=>[1,1,1,1,1,1,1,1,3] [8,7,6,3,2,5,1,4,9]=>11110100=>[1,1,1,1,2,3] [8,7,6,5,1,9,4,3,2]=>11110111=>[1,1,1,1,2,1,1,1] [9,8,7,6,3,10,2,1,4,5]=>111101100=>[1,1,1,1,2,1,3] [10,9,8,7,6,4,3,2,1,11,5]=>1111111101=>[1,1,1,1,1,1,1,1,2,1] [8,7,4,3,6,2,1,9,5]=>11101101=>[1,1,1,2,1,2,1] [8,7,6,2,9,5,1,3,4]=>11101100=>[1,1,1,2,1,3] [9,8,7,4,10,3,2,1,6,5]=>111011101=>[1,1,1,2,1,1,2,1] [10,9,8,7,5,4,3,2,1,6,11]=>1111111100=>[1,1,1,1,1,1,1,1,3] [8,5,4,7,3,2,1,6,9]=>11011100=>[1,1,2,1,1,3] [8,7,3,9,6,2,1,4,5]=>11011100=>[1,1,2,1,1,3] [9,8,5,10,4,3,2,1,6,7]=>110111100=>[1,1,2,1,1,1,3] [10,9,8,6,5,4,3,2,1,7,11]=>1111111100=>[1,1,1,1,1,1,1,1,3] [6,5,8,4,3,2,1,7,9]=>10111100=>[1,2,1,1,1,3] [8,4,9,7,3,2,1,6,5]=>10111101=>[1,2,1,1,1,2,1] [9,6,10,5,4,3,2,1,7,8]=>101111100=>[1,2,1,1,1,1,3] [10,9,7,6,5,4,3,2,1,11,8]=>1111111101=>[1,1,1,1,1,1,1,1,2,1] [5,9,8,4,3,2,1,6,7]=>01111100=>[2,1,1,1,1,3] [7,10,6,5,4,3,2,1,9,8]=>011111101=>[2,1,1,1,1,1,2,1] [10,8,7,6,5,4,3,2,1,9,11]=>1111111100=>[1,1,1,1,1,1,1,1,3] [8,5,2,3,7,4,6,1]=>1100101=>[1,1,3,2,1] [6,3,1,5,4,8,2,7]=>1101010=>[1,1,2,2,2] [4,7,6,3,5,2,8,1]=>0110101=>[2,1,2,2,1] [1,7,5,3,4,8,6,2]=>0110011=>[2,1,3,1,1] [5,8,2,3,4,7,6,1]=>0100011=>[2,4,1,1] [8,7,3,2,6,4,5,1]=>1110101=>[1,1,1,2,2,1] [8,3,1,4,7,5,2,6]=>1100110=>[1,1,3,1,2] [5,3,1,6,4,8,7,2]=>1101011=>[1,1,2,2,1,1] [3,4,8,5,7,2,6,1]=>0010101=>[3,2,2,1] [8,5,1,2,7,6,4,3]=>1100111=>[1,1,3,1,1,1] [10,7,8,1,2,3,4,5,6,9]=>101000000=>[1,2,7] [6,7,10,1,2,3,4,5,8,9]=>001000000=>[3,7] [8,2,6,3,1,5,4,7]=>1011010=>[1,2,1,2,2] [3,7,8,5,6,2,4,1]=>0010101=>[3,2,2,1] [1,10,2,3,4,7,5,6,8,9]=>010001000=>[2,4,4] [7,4,3,6,2,5,8,1]=>1101001=>[1,1,2,3,1] [4,3,8,7,1,6,2,5]=>1011010=>[1,2,1,2,2] [1,5,3,8,4,7,2,6]=>0101010=>[2,2,2,2] [8,2,3,1,6,5,7,4]=>1010101=>[1,2,2,2,1] [8,4,2,7,1,3,6,5]=>1101001=>[1,1,2,3,1] [8,4,2,3,1,6,7,5]=>1101001=>[1,1,2,3,1] [4,7,2,3,6,5,8,1]=>0100101=>[2,3,2,1] [3,8,2,6,4,7,1,5]=>0101010=>[2,2,2,2] [1,7,5,8,6,2,4,3]=>0101101=>[2,2,1,2,1] [6,5,1,7,4,8,3,2]=>1101011=>[1,1,2,2,1,1] [10,9,8,6,7,5,4,3,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [7,6,3,5,1,4,8,2]=>1101001=>[1,1,2,3,1] [6,5,4,1,7,2,3,8]=>1110100=>[1,1,1,2,3] [8,3,6,1,7,4,5,2]=>1010101=>[1,2,2,2,1] [7,1,2,6,4,8,3,5]=>1001010=>[1,3,2,2] [3,5,1,8,6,2,4,7]=>0101100=>[2,2,1,3] [8,7,5,6,4,3,2,1,9]=>11011110=>[1,1,2,1,1,1,2] [8,6,5,7,4,3,2,1,9]=>11011110=>[1,1,2,1,1,1,2] [9,8,7,6,4,3,2,5,1]=>11111101=>[1,1,1,1,1,1,2,1] [9,8,7,6,4,3,5,2,1]=>11111011=>[1,1,1,1,1,2,1,1] [8,5,6,7,4,3,2,1,9]=>10011110=>[1,3,1,1,1,2] [10,9,7,6,8,5,4,3,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [6,7,5,8,4,3,2,1,9]=>01011110=>[2,2,1,1,1,2] [10,8,7,6,9,5,4,3,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [8,9,7,6,4,3,2,1,5]=>01111110=>[2,1,1,1,1,1,2] [7,6,5,3,2,1,4,8,9]=>11111000=>[1,1,1,1,1,4] [9,8,7,6,4,3,5,1,2]=>11111010=>[1,1,1,1,1,2,2] [9,8,7,6,4,3,2,5,1,10]=>111111010=>[1,1,1,1,1,1,2,2] [9,8,7,6,4,5,2,3,1]=>11110101=>[1,1,1,1,2,2,1] [9,8,7,6,4,3,5,2,1,10]=>111110110=>[1,1,1,1,1,2,1,2] [9,8,7,6,5,3,4,2,1]=>11111011=>[1,1,1,1,1,2,1,1] [1,8,7,5,4,6,2,3]=>0111010=>[2,1,1,2,2] [8,1,6,7,4,5,3,2]=>1001011=>[1,3,2,1,1] [8,1,6,4,7,5,3,2]=>1010111=>[1,2,2,1,1,1] [6,4,8,1,5,3,7,2]=>1010101=>[1,2,2,2,1] [1,6,4,3,5,8,2,7]=>0110010=>[2,1,3,2] [5,1,4,3,7,8,6,2]=>1010011=>[1,2,3,1,1] [5,7,1,8,6,3,2,4]=>0101110=>[2,2,1,1,2] [5,7,6,3,4,2,1,8]=>0110110=>[2,1,2,1,2] [4,1,3,7,6,5,2,8]=>1001110=>[1,3,1,1,2] [8,7,6,5,4,2,3,1,9]=>11111010=>[1,1,1,1,1,2,2] [4,3,6,1,2,7,8,5]=>1010001=>[1,2,4,1] [1,10,9,8,6,5,7,4,3,2]=>011110111=>[2,1,1,1,2,1,1,1] [2,9,8,6,5,7,4,3,1]=>01110111=>[2,1,1,2,1,1,1] [3,1,4,5,6,7,9,2,10,8]=>100000101=>[1,6,2,1] [5,8,3,6,7,2,4,1]=>0100101=>[2,3,2,1] [8,1,6,2,5,7,4,3]=>1010011=>[1,2,3,1,1] [2,7,1,5,3,6,8,4]=>0101001=>[2,2,3,1] [6,8,7,3,4,2,5,1]=>0110101=>[2,1,2,2,1] [1,8,6,2,4,7,5,3]=>0110011=>[2,1,3,1,1] [5,7,3,6,4,2,1,8]=>0101110=>[2,2,1,1,2] [5,7,3,6,4,1,8,2]=>0101101=>[2,2,1,2,1] [3,7,5,6,4,1,8,2]=>0101101=>[2,2,1,2,1] [7,1,8,2,3,4,5,9,6]=>10100001=>[1,2,5,1] [6,8,1,2,3,4,5,9,7]=>01000001=>[2,6,1] [9,6,7,4,5,2,3,1,8]=>10101010=>[1,2,2,2,2] [8,9,6,7,4,5,2,1,3]=>01010110=>[2,2,2,1,2] [10,8,9,6,7,4,5,2,1,3]=>101010110=>[1,2,2,2,1,2] [9,8,6,5,4,3,7,2,1]=>11111011=>[1,1,1,1,1,2,1,1] [2,8,5,7,3,4,6,1]=>0101001=>[2,2,3,1] [2,3,6,4,5,1,7,8,9]=>00101000=>[3,2,4] [2,3,4,8,5,6,7,1,9]=>00010010=>[4,3,2] [3,5,4,7,2,6,1,8,9]=>01010100=>[2,2,2,3] [2,6,4,1,5,3,7,8,9]=>01101000=>[2,1,2,4] [4,5,2,6,3,1,7,8,9]=>01011000=>[2,2,1,4] [3,6,4,5,9,2,7,8,1]=>01001001=>[2,3,3,1] [2,5,4,7,8,6,3,1,9]=>01001110=>[2,3,1,1,2] [4,6,2,5,8,3,7,1,9]=>01001010=>[2,3,2,2] [3,5,7,6,1,4,2,8,9]=>00110100=>[3,1,2,3] [5,6,2,3,7,4,1,8,9]=>01001100=>[2,3,1,3] [5,7,2,3,6,9,4,8,1]=>01000101=>[2,4,2,1] [2,8,4,1,6,3,7,5,9]=>01101010=>[2,1,2,2,2] [4,6,7,8,3,1,5,2,9]=>00011010=>[4,1,2,2] [6,7,2,3,4,8,5,1,9]=>01000110=>[2,4,1,2] [3,5,9,7,1,8,2,6,4]=>00110101=>[3,1,2,2,1] [5,7,8,3,9,4,1,6,2]=>00101101=>[3,2,1,2,1] [7,8,2,3,4,5,9,6,1]=>01000011=>[2,5,1,1] [2,4,3,1,5,6,7,8,9,10]=>011000000=>[2,1,7] [2,3,6,4,5,1,7,8,9,10]=>001010000=>[3,2,5] [3,4,5,2,1,6,7,8,9,10]=>001100000=>[3,1,6] [2,3,4,8,5,6,7,1,9,10]=>000100100=>[4,3,3] [3,5,4,7,2,6,1,8,9,10]=>010101000=>[2,2,2,4] [2,6,4,1,5,3,7,8,9,10]=>011010000=>[2,1,2,5] [4,5,2,6,3,1,7,8,9,10]=>010110000=>[2,2,1,5] [3,6,4,5,9,2,7,8,1,10]=>010010010=>[2,3,3,2] [2,5,4,7,8,6,3,1,9,10]=>010011100=>[2,3,1,1,3] [4,6,2,5,8,3,7,1,9,10]=>010010100=>[2,3,2,3] [3,5,7,6,1,4,2,8,9,10]=>001101000=>[3,1,2,4] [5,6,2,3,7,4,1,8,9,10]=>010011000=>[2,3,1,4] [2,5,4,8,6,10,7,3,9,1]=>010101101=>[2,2,2,1,2,1] [4,7,2,5,6,10,3,8,9,1]=>010001001=>[2,4,3,1] [2,3,9,5,6,1,7,8,4,10]=>001010010=>[3,2,3,2] [5,7,2,3,6,9,4,8,1,10]=>010001010=>[2,4,2,2] [2,8,4,1,6,3,7,5,9,10]=>011010100=>[2,1,2,2,3] [4,6,7,8,3,1,5,2,9,10]=>000110100=>[4,1,2,3] [6,7,2,3,4,8,5,1,9,10]=>010001100=>[2,4,1,3] [3,6,4,10,8,7,1,5,9,2]=>010111001=>[2,2,1,1,3,1] [2,7,4,9,6,3,10,8,5,1]=>010110111=>[2,2,1,2,1,1,1] [4,6,8,7,3,9,10,5,2,1]=>001100111=>[3,1,3,1,1,1] [6,8,2,3,4,7,10,5,9,1]=>010000101=>[2,5,2,1] [3,5,9,7,1,8,2,6,4,10]=>001101010=>[3,1,2,2,2] [5,7,8,3,9,4,1,6,2,10]=>001011010=>[3,2,1,2,2] [7,8,2,3,4,5,9,6,1,10]=>010000110=>[2,5,1,2] [4,6,8,10,9,1,5,2,7,3]=>000110101=>[4,1,2,2,1] [6,8,9,3,4,10,5,1,7,2]=>001001101=>[3,3,1,2,1] [8,9,2,3,4,5,6,10,7,1]=>010000011=>[2,6,1,1] [2,1,3,8,5,4,6,7]=>1001100=>[1,3,1,3] [5,3,6,8,2,4,1,7]=>1001010=>[1,3,2,2] [1,7,8,6,3,2,4,5]=>0011100=>[3,1,1,3] [7,1,2,5,3,8,4,6]=>1001010=>[1,3,2,2] [3,7,4,2,5,1,8,6]=>0110101=>[2,1,2,2,1] [1,8,3,4,5,7,2,6]=>0100010=>[2,4,2] [2,6,7,5,3,8,1,4]=>0011010=>[3,1,2,2] [4,5,2,6,8,7,1,3]=>0100110=>[2,3,1,2] [4,5,2,6,8,3,1,7]=>0100110=>[2,3,1,2] [4,5,7,6,2,1,3,8]=>0011100=>[3,1,1,3] [7,8,2,6,5,4,3,1]=>0101111=>[2,2,1,1,1,1] [5,3,7,8,4,2,1,6]=>1001110=>[1,3,1,1,2] [7,3,6,8,1,5,4,2]=>1001011=>[1,3,2,1,1] [9,7,8,5,6,2,4,1,3]=>10101010=>[1,2,2,2,2] [9,7,8,4,6,2,5,1,3]=>10101010=>[1,2,2,2,2] [9,6,8,4,7,2,5,1,3]=>10101010=>[1,2,2,2,2] [8,9,6,4,7,2,5,1,3]=>01101010=>[2,1,2,2,2] [8,9,6,7,4,2,5,1,3]=>01011010=>[2,2,1,2,2] [9,7,8,3,6,2,5,1,4]=>10101010=>[1,2,2,2,2] [9,5,8,4,7,2,6,1,3]=>10101010=>[1,2,2,2,2] [7,6,9,4,8,2,5,1,3]=>10101010=>[1,2,2,2,2] [8,6,9,7,4,2,5,1,3]=>10111010=>[1,2,1,1,2,2] [10,8,9,6,4,7,2,5,1,3]=>101101010=>[1,2,1,2,2,2] [8,9,6,4,7,5,2,1,3]=>01101110=>[2,1,2,1,1,2] [10,8,9,6,7,4,2,5,1,3]=>101011010=>[1,2,2,1,2,2] [8,9,6,7,4,2,5,3,1]=>01011011=>[2,2,1,2,1,1] [7,5,8,2,4,3,6,1]=>1010101=>[1,2,2,2,1] [6,5,8,2,3,4,1,7]=>1010010=>[1,2,3,2] [8,1,5,3,4,6,2,7]=>1010010=>[1,2,3,2] [5,8,7,2,4,3,6,1]=>0110101=>[2,1,2,2,1] [1,7,2,4,8,5,6,3]=>0100101=>[2,3,2,1] [5,8,2,3,7,4,6,1]=>0100101=>[2,3,2,1] [7,8,2,3,5,4,6,1]=>0100101=>[2,3,2,1] [8,4,1,3,2,6,5,7]=>1101010=>[1,1,2,2,2] [8,7,2,3,5,4,6,1]=>1100101=>[1,1,3,2,1] [1,7,6,8,4,5,3,2]=>0101011=>[2,2,2,1,1] [2,7,3,1,8,5,6,4]=>0110101=>[2,1,2,2,1] [3,8,5,2,1,6,7,4]=>0111001=>[2,1,1,3,1] [10,1,2,9,6,3,4,5,7,8]=>100110000=>[1,3,1,5] [4,1,2,10,3,5,9,6,7,8]=>100100100=>[1,3,3,3] [2,8,6,1,5,7,4,3]=>0110011=>[2,1,3,1,1] [8,3,5,1,7,6,4,2]=>1010111=>[1,2,2,1,1,1] [8,3,5,4,7,1,6,2]=>1010101=>[1,2,2,2,1] [6,4,1,5,7,8,2,3]=>1100010=>[1,1,4,2] [4,8,7,1,2,5,3,6]=>0110010=>[2,1,3,2] [8,7,2,6,1,4,3,5]=>1101010=>[1,1,2,2,2] [6,1,7,3,8,2,4,5]=>1010100=>[1,2,2,3] [7,1,8,6,4,2,3,5]=>1011100=>[1,2,1,1,3] [4,1,3,5,8,2,6,7]=>1000100=>[1,4,3] [1,8,5,7,4,6,3,2]=>0101011=>[2,2,2,1,1] [1,4,7,6,8,3,5,2]=>0010101=>[3,2,2,1] [1,7,2,8,6,5,3,4]=>0101110=>[2,2,1,1,2] [5,7,1,6,4,2,3,8]=>0101100=>[2,2,1,3] [4,8,2,7,5,1,6,3]=>0101101=>[2,2,1,2,1] [2,8,4,6,7,1,5,3]=>0100101=>[2,3,2,1] [3,8,5,1,4,2,6,7]=>0110100=>[2,1,2,3] [1,7,6,2,5,3,8,4]=>0110101=>[2,1,2,2,1] [1,7,5,2,4,3,8,6]=>0110101=>[2,1,2,2,1] [2,8,5,1,4,3,6,7]=>0110100=>[2,1,2,3] [9,7,6,5,4,3,2,8,1]=>11111101=>[1,1,1,1,1,1,2,1] [3,1,4,6,2,5,8,7,9]=>10010010=>[1,3,3,2] [1,3,2,5,7,4,6,9,8]=>01001001=>[2,3,3,1] [7,6,3,5,4,8,2,1]=>1101011=>[1,1,2,2,1,1] [1,9,8,5,6,7,4,3,2]=>01100111=>[2,1,3,1,1,1] [1,10,9,8,5,6,7,4,3,2]=>011100111=>[2,1,1,3,1,1,1] [1,9,8,5,4,6,7,3,2]=>01110011=>[2,1,1,3,1,1] [1,10,9,5,6,7,8,4,3,2]=>011000111=>[2,1,4,1,1,1] [1,9,5,4,6,7,8,3,2]=>01100011=>[2,1,4,1,1] [1,10,4,5,6,7,8,9,3,2]=>010000011=>[2,6,1,1] [3,1,2,5,7,6,8,4]=>1000101=>[1,4,2,1] [5,1,7,3,2,6,8,4]=>1011001=>[1,2,1,3,1] [4,7,2,3,5,1,6,8]=>0100100=>[2,3,3] [4,8,2,3,7,5,1,6]=>0100110=>[2,3,1,2] [8,7,2,4,3,5,6,1]=>1101001=>[1,1,2,3,1] [8,6,2,4,3,5,1,7]=>1101010=>[1,1,2,2,2] [8,1,2,4,7,3,5,6]=>1000100=>[1,4,3] [7,6,2,8,4,5,1,3]=>1101010=>[1,1,2,2,2] [6,8,1,5,7,3,2,4]=>0100110=>[2,3,1,2] [4,1,7,5,6,8,2,3]=>1010010=>[1,2,3,2] [3,7,6,2,1,4,5,8]=>0111000=>[2,1,1,4] [1,6,8,7,2,5,4,3]=>0011011=>[3,1,2,1,1] [1,4,8,7,6,3,5,2]=>0011101=>[3,1,1,2,1] [1,2,3,4,7,5,6,9,8]=>00001001=>[5,3,1] [3,1,8,4,5,2,7,6]=>1010101=>[1,2,2,2,1] [2,3,7,6,1,8,4,5]=>0011010=>[3,1,2,2] [4,8,5,2,1,3,7,6]=>0111001=>[2,1,1,3,1] [5,8,4,2,1,3,7,6]=>0111001=>[2,1,1,3,1] [9,8,7,6,5,3,1,4,2]=>11111101=>[1,1,1,1,1,1,2,1] [9,8,7,6,4,1,5,3,2]=>11111011=>[1,1,1,1,1,2,1,1] [9,8,6,1,7,5,4,3,2]=>11101111=>[1,1,1,2,1,1,1,1] [9,7,1,8,6,5,4,3,2]=>11011111=>[1,1,2,1,1,1,1,1] [4,6,7,5,2,3,1,8]=>0011010=>[3,1,2,2] [6,2,5,3,1,8,7,4]=>1011011=>[1,2,1,2,1,1] [6,2,5,3,8,7,1,4]=>1010110=>[1,2,2,1,2] [6,4,5,3,8,7,1,2]=>1010110=>[1,2,2,1,2] [1,6,4,5,8,7,3,2]=>0100111=>[2,3,1,1,1] [8,4,7,5,2,3,1,6]=>1011010=>[1,2,1,2,2] [8,2,7,4,5,3,1,6]=>1010110=>[1,2,2,1,2] [8,2,4,7,5,3,1,6]=>1001110=>[1,3,1,1,2] [8,2,6,7,5,3,1,4]=>1001110=>[1,3,1,1,2] [8,4,6,7,5,3,1,2]=>1001110=>[1,3,1,1,2] [6,4,5,8,7,3,1,2]=>1001110=>[1,3,1,1,2] [6,2,8,7,5,3,1,4]=>1011110=>[1,2,1,1,1,2] [4,6,5,3,8,7,1,2]=>0110110=>[2,1,2,1,2] [6,7,2,4,5,3,1,8]=>0100110=>[2,3,1,2] [6,8,7,4,5,3,1,2]=>0110110=>[2,1,2,1,2] [2,8,4,7,5,3,1,6]=>0101110=>[2,2,1,1,2] [5,8,7,4,6,3,1,2]=>0110110=>[2,1,2,1,2] [6,5,8,4,7,2,1,3]=>1010110=>[1,2,2,1,2] [4,8,6,2,5,7,1,3]=>0110010=>[2,1,3,2] [8,1,6,2,5,7,3,4]=>1010010=>[1,2,3,2] [6,8,1,2,4,7,3,5]=>0100010=>[2,4,2] [8,1,5,3,2,7,4,6]=>1011010=>[1,2,1,2,2] [8,3,7,6,2,5,4,1]=>1011011=>[1,2,1,2,1,1] [1,2,7,4,5,6,8,9,3]=>00100001=>[3,5,1] [5,3,1,2,6,7,8,9,10,4]=>110000001=>[1,1,7,1] [7,3,4,5,1,2,8,9,10,6]=>100100001=>[1,3,5,1] [8,3,4,5,6,1,2,9,10,7]=>100010001=>[1,4,4,1] [1,2,3,4,7,8,5,6,9]=>00000100=>[6,3] [1,2,3,4,6,5,8,7,9]=>00001010=>[5,2,2] [1,2,3,4,8,9,5,6,7]=>00000100=>[6,3] [4,6,1,3,5,8,2,7]=>0100010=>[2,4,2] [4,5,1,3,8,7,2,6]=>0100110=>[2,3,1,2] [6,2,7,1,8,3,4,5]=>1010100=>[1,2,2,3] [6,4,5,8,1,7,2,3]=>1001010=>[1,3,2,2] [6,2,8,5,1,4,7,3]=>1011001=>[1,2,1,3,1] [2,4,7,6,1,8,3,5]=>0011010=>[3,1,2,2] [2,1,7,8,9,3,4,5,6]=>10001000=>[1,4,4] [2,6,7,8,9,10,1,3,4,5]=>000001000=>[6,4] [9,7,5,3,8,6,4,2,1]=>11101111=>[1,1,1,2,1,1,1,1] [10,8,9,7,6,5,4,3,2,1]=>101111111=>[1,2,1,1,1,1,1,1,1] [7,4,5,8,6,3,2,1]=>1001111=>[1,3,1,1,1,1] [8,6,9,7,4,3,2,1,5]=>10111110=>[1,2,1,1,1,1,2] [8,6,3,2,1,4,9,7,5]=>11110011=>[1,1,1,1,3,1,1] [8,6,4,9,7,5,2,1,3]=>11011110=>[1,1,2,1,1,1,2] [10,8,6,4,9,7,5,3,2,1]=>111011111=>[1,1,1,2,1,1,1,1,1] [9,7,5,3,8,6,4,1,2]=>11101110=>[1,1,1,2,1,1,2] [10,8,6,4,2,1,9,7,5,3]=>111110111=>[1,1,1,1,1,2,1,1,1] [11,9,10,8,7,6,5,4,3,2,1]=>1011111111=>[1,2,1,1,1,1,1,1,1,1] [9,6,7,8,5,4,3,2,1]=>10011111=>[1,3,1,1,1,1,1] [10,8,9,6,5,4,3,2,1,7]=>101111110=>[1,2,1,1,1,1,1,2] [10,8,11,9,7,6,5,4,3,2,1]=>1011111111=>[1,2,1,1,1,1,1,1,1,1] [8,5,6,9,7,4,3,2,1]=>10011111=>[1,3,1,1,1,1,1] [9,7,10,8,5,4,3,2,1,6]=>101111110=>[1,2,1,1,1,1,1,2] [10,8,6,5,4,3,2,1,11,9,7]=>1111111011=>[1,1,1,1,1,1,1,2,1,1] [8,6,3,2,1,9,7,4,5]=>11110110=>[1,1,1,1,2,1,2] [9,7,8,4,3,2,1,5,6]=>10111100=>[1,2,1,1,1,3] [9,7,4,3,2,1,5,10,8,6]=>111110011=>[1,1,1,1,1,3,1,1] [10,8,6,11,9,7,5,4,3,2,1]=>1101111111=>[1,1,2,1,1,1,1,1,1,1] [8,6,3,4,9,7,5,2,1]=>11001111=>[1,1,3,1,1,1,1] [8,6,9,7,3,2,1,4,5]=>10111100=>[1,2,1,1,1,3] [9,7,5,10,8,6,3,2,1,4]=>110111110=>[1,1,2,1,1,1,1,2] [11,9,7,5,10,8,6,4,3,2,1]=>1110111111=>[1,1,1,2,1,1,1,1,1,1] [9,7,5,2,3,8,6,4,1]=>11100111=>[1,1,1,3,1,1,1] [8,6,2,1,3,4,9,7,5]=>11100011=>[1,1,1,4,1,1] [10,8,6,4,9,7,5,2,1,3]=>111011110=>[1,1,1,2,1,1,1,2] [8,6,4,9,7,5,1,2,3]=>11011100=>[1,1,2,1,1,3] [10,8,6,4,1,2,9,7,5,3]=>111100111=>[1,1,1,1,3,1,1,1] [2,5,1,6,3,7,4,8,9]=>01010100=>[2,2,2,3] [2,6,1,7,3,8,4,9,5]=>01010101=>[2,2,2,2,1] [3,4,6,1,7,2,8,5,9]=>00101010=>[3,2,2,2] [3,2,6,1,7,4,8,5,9]=>10101010=>[1,2,2,2,2] [4,2,5,6,1,7,3,8,9]=>10010100=>[1,3,2,3] [3,4,2,6,1,7,5,8,9]=>01010100=>[2,2,2,3] [4,2,5,7,1,8,3,9,6]=>10010101=>[1,3,2,2,1] [3,4,2,7,1,8,5,9,6]=>01010101=>[2,2,2,2,1] [5,3,6,4,7,1,8,2,9]=>10101010=>[1,2,2,2,2] [3,5,2,6,7,1,8,4,9]=>01001010=>[2,3,2,2] [4,3,5,2,7,1,8,6,9]=>10101010=>[1,2,2,2,2] [4,6,2,7,5,8,1,9,3]=>01010101=>[2,2,2,2,1] [4,3,6,2,7,8,1,9,5]=>10100101=>[1,2,3,2,1] [4,5,3,6,2,8,1,9,7]=>01010101=>[2,2,2,2,1] [2,5,1,6,3,7,4,8,9,10]=>010101000=>[2,2,2,4] [3,4,5,1,6,2,7,8,9,10]=>001010000=>[3,2,5] [2,6,1,7,3,8,4,9,5,10]=>010101010=>[2,2,2,2,2] [3,4,6,1,7,2,8,5,9,10]=>001010100=>[3,2,2,3] [3,2,6,1,7,4,8,5,9,10]=>101010100=>[1,2,2,2,3] [4,2,5,6,1,7,3,8,9,10]=>100101000=>[1,3,2,4] [3,4,2,6,1,7,5,8,9,10]=>010101000=>[2,2,2,4] [3,2,7,1,8,4,9,5,10,6]=>101010101=>[1,2,2,2,2,1] [4,5,6,7,1,8,2,9,3,10]=>000101010=>[4,2,2,2] [3,4,2,7,1,8,5,9,6,10]=>010101010=>[2,2,2,2,2] [5,3,6,4,7,1,8,2,9,10]=>101010100=>[1,2,2,2,3] [3,5,2,6,7,1,8,4,9,10]=>010010100=>[2,3,2,3] [4,3,5,2,7,1,8,6,9,10]=>101010100=>[1,2,2,2,3] [5,2,6,7,8,1,9,3,10,4]=>100010101=>[1,4,2,2,1] [5,3,6,4,8,1,9,2,10,7]=>101010101=>[1,2,2,2,2,1] [3,5,2,6,8,1,9,4,10,7]=>010010101=>[2,3,2,2,1] [4,3,5,2,8,1,9,6,10,7]=>101010101=>[1,2,2,2,2,1] [4,6,2,7,5,8,1,9,3,10]=>010101010=>[2,2,2,2,2] [4,3,6,2,7,8,1,9,5,10]=>101001010=>[1,2,3,2,2] [4,5,3,6,2,8,1,9,7,10]=>010101010=>[2,2,2,2,2] [5,3,7,2,8,6,9,1,10,4]=>101010101=>[1,2,2,2,2,1] [4,5,3,7,2,8,9,1,10,6]=>010100101=>[2,2,3,2,1] [5,4,6,3,7,2,9,1,10,8]=>101010101=>[1,2,2,2,2,1] [7,6,5,9,4,3,2,1,8]=>11011110=>[1,1,2,1,1,1,2] [7,6,5,4,3,9,2,1,8]=>11110110=>[1,1,1,1,2,1,2] [7,9,8,5,4,3,2,1,6]=>01111110=>[2,1,1,1,1,1,2] [8,7,10,6,5,4,3,2,1,9]=>101111110=>[1,2,1,1,1,1,1,2] [7,6,9,8,4,3,2,1,5]=>10111110=>[1,2,1,1,1,1,2] [8,7,6,10,5,4,3,2,1,9]=>110111110=>[1,1,2,1,1,1,1,2] [7,6,5,9,8,3,2,1,4]=>11011110=>[1,1,2,1,1,1,2] [7,6,5,4,9,8,2,1,3]=>11101110=>[1,1,1,2,1,1,2] [8,7,6,5,4,10,3,2,1,9]=>111101110=>[1,1,1,1,2,1,1,2] [7,6,5,4,3,9,8,1,2]=>11110110=>[1,1,1,1,2,1,2] [8,7,6,5,4,3,10,2,1,9]=>111110110=>[1,1,1,1,1,2,1,2] [9,8,7,6,5,2,3,4,1]=>11111001=>[1,1,1,1,1,3,1] [6,1,7,8,9,2,3,4,5]=>10001000=>[1,4,4] [4,5,6,7,1,9,2,3,8]=>00010100=>[4,2,3] [3,5,6,7,9,1,2,4,8]=>00001000=>[5,4] [5,1,6,7,8,2,9,3,4]=>10001010=>[1,4,2,2] [4,1,6,7,8,9,2,3,5]=>10000100=>[1,5,3] [5,1,6,7,8,9,10,2,3,4]=>100000100=>[1,6,3] [7,4,1,3,6,8,2,5]=>1100010=>[1,1,4,2] [6,8,1,2,7,3,4,5]=>0100100=>[2,3,3] [1,6,2,8,7,3,4,5]=>0101100=>[2,2,1,3] [1,6,8,5,7,4,3,2]=>0010111=>[3,2,1,1,1] [3,8,1,2,4,7,6,5]=>0100011=>[2,4,1,1] [1,4,5,7,3,6,8,2]=>0001001=>[4,3,1] [2,3,8,1,4,6,5,7]=>0010010=>[3,3,2] [3,6,2,4,7,5,8,1]=>0100101=>[2,3,2,1] [3,1,8,4,6,2,5,7]=>1010100=>[1,2,2,3] [4,2,7,3,5,8,1,6]=>1010010=>[1,2,3,2] [3,1,8,4,5,6,2,7]=>1010010=>[1,2,3,2] [4,2,7,8,6,3,1,5]=>1001110=>[1,3,1,1,2] [7,1,4,2,8,6,3,5]=>1010110=>[1,2,2,1,2] [2,3,7,4,8,1,6,5]=>0010101=>[3,2,2,1] [1,6,3,5,8,7,4,2]=>0100111=>[2,3,1,1,1] [8,4,6,3,5,1,7,2]=>1010101=>[1,2,2,2,1] [7,3,2,6,8,4,5,1]=>1100101=>[1,1,3,2,1] [2,4,5,7,1,6,8,3]=>0001001=>[4,3,1] [8,4,2,6,7,3,5,1]=>1100101=>[1,1,3,2,1] [4,1,5,7,8,6,2,3]=>1000110=>[1,4,1,2] [6,1,4,8,2,3,7,5]=>1001001=>[1,3,3,1] [7,6,2,3,5,8,4,1]=>1100011=>[1,1,4,1,1] [2,8,5,7,6,3,4,1]=>0101101=>[2,2,1,2,1] [2,5,7,8,6,4,1,3]=>0001110=>[4,1,1,2] [7,4,1,6,2,5,8,3]=>1101001=>[1,1,2,3,1] [8,7,4,6,2,5,3,1]=>1101011=>[1,1,2,2,1,1] [1,7,5,4,6,2,3,8]=>0110100=>[2,1,2,3] [6,2,7,5,3,1,4,8]=>1011100=>[1,2,1,1,3] [6,1,7,4,8,5,2,3]=>1010110=>[1,2,2,1,2] [8,2,4,6,3,1,7,5]=>1001101=>[1,3,1,2,1] [5,6,2,4,8,7,3,1]=>0100111=>[2,3,1,1,1] [8,5,6,2,3,7,4,1]=>1010011=>[1,2,3,1,1] [7,8,1,4,5,6,2,3]=>0100010=>[2,4,2] [5,6,7,8,9,1,3,4,2]=>00001001=>[5,3,1] [6,7,8,9,1,3,4,5,2]=>00010001=>[4,4,1] [6,7,8,9,1,4,5,2,3]=>00010010=>[4,3,2] [6,7,8,9,1,4,5,3,2]=>00010011=>[4,3,1,1] [6,7,8,9,1,5,4,3,2]=>00010111=>[4,2,1,1,1] [7,8,9,1,4,5,6,2,3]=>00100010=>[3,4,2] [7,8,9,1,4,5,6,3,2]=>00100011=>[3,4,1,1] [7,8,9,1,5,6,3,4,2]=>00100101=>[3,3,2,1] [7,8,9,1,5,6,4,3,2]=>00100111=>[3,3,1,1,1] [7,8,9,1,6,5,4,3,2]=>00101111=>[3,2,1,1,1,1] [8,9,1,5,6,7,3,4,2]=>01000101=>[2,4,2,1] [8,9,1,5,6,7,4,3,2]=>01000111=>[2,4,1,1,1] [8,9,1,6,7,4,5,2,3]=>01001010=>[2,3,2,2] [8,9,1,6,7,4,5,3,2]=>01001011=>[2,3,2,1,1] [8,9,1,6,7,5,4,3,2]=>01001111=>[2,3,1,1,1,1] [9,1,7,8,5,6,3,4,2]=>10010101=>[1,3,2,2,1] [9,1,7,8,5,6,4,3,2]=>10010111=>[1,3,2,1,1,1] [5,6,7,8,9,10,1,3,4,2]=>000001001=>[6,3,1] [5,6,7,8,9,10,1,4,3,2]=>000001011=>[6,2,1,1] [7,8,9,10,1,4,5,6,2,3]=>000100010=>[4,4,2] [7,8,9,10,1,4,5,6,3,2]=>000100011=>[4,4,1,1] [7,8,9,10,1,5,6,4,3,2]=>000100111=>[4,3,1,1,1] [7,8,9,10,1,6,5,4,3,2]=>000101111=>[4,2,1,1,1,1] [8,9,10,1,4,5,6,7,2,3]=>001000010=>[3,5,2] [8,9,10,1,4,5,6,7,3,2]=>001000011=>[3,5,1,1] [8,9,10,1,5,6,7,2,3,4]=>001000100=>[3,4,3] [8,9,10,1,5,6,7,4,3,2]=>001000111=>[3,4,1,1,1] [8,9,10,1,6,7,4,5,2,3]=>001001010=>[3,3,2,2] [8,9,10,1,6,7,4,5,3,2]=>001001011=>[3,3,2,1,1] [8,9,10,1,6,7,5,4,3,2]=>001001111=>[3,3,1,1,1,1] [8,9,10,1,7,6,5,4,3,2]=>001011111=>[3,2,1,1,1,1,1] [9,10,1,6,7,8,3,4,5,2]=>010001001=>[2,4,3,1] [9,10,1,6,7,8,4,5,2,3]=>010001010=>[2,4,2,2] [9,10,1,6,7,8,4,5,3,2]=>010001011=>[2,4,2,1,1] [9,10,1,6,7,8,5,4,3,2]=>010001111=>[2,4,1,1,1,1] [9,10,1,7,8,5,6,3,4,2]=>010010101=>[2,3,2,2,1] [9,10,1,7,8,5,6,4,3,2]=>010010111=>[2,3,2,1,1,1] [9,10,1,7,8,6,5,4,3,2]=>010011111=>[2,3,1,1,1,1,1] [10,1,8,9,6,7,4,5,3,2]=>100101011=>[1,3,2,2,1,1] [10,1,8,9,6,7,5,4,3,2]=>100101111=>[1,3,2,1,1,1,1] [10,1,8,9,7,6,5,4,3,2]=>100111111=>[1,3,1,1,1,1,1,1] [7,4,8,3,5,6,2,1]=>1010011=>[1,2,3,1,1] [2,6,1,4,7,5,8,3]=>0100101=>[2,3,2,1] [3,1,5,7,2,6,8,4]=>1001001=>[1,3,3,1] [3,1,7,5,2,6,8,4]=>1011001=>[1,2,1,3,1] [3,2,7,5,1,6,8,4]=>1011001=>[1,2,1,3,1] [5,2,7,3,1,6,8,4]=>1011001=>[1,2,1,3,1] [6,7,2,1,3,4,8,5]=>0110001=>[2,1,4,1] [4,6,3,1,2,7,8,5]=>0110001=>[2,1,4,1] [2,3,4,5,7,9,6,8,1]=>00000101=>[6,2,1] [2,3,4,6,9,5,7,8,1]=>00001001=>[5,3,1] [2,3,5,6,8,4,7,1]=>0000101=>[5,2,1] [2,3,5,9,4,6,7,8,1]=>00010001=>[4,4,1] [2,4,5,8,3,6,7,1]=>0001001=>[4,3,1] [2,4,9,3,5,6,7,8,1]=>00100001=>[3,5,1] [5,9,8,7,6,4,3,1,2]=>01111110=>[2,1,1,1,1,1,2] [5,4,8,7,6,3,2,1,9]=>10111110=>[1,2,1,1,1,1,2] [4,5,8,7,6,3,1,2]=>0011110=>[3,1,1,1,2] [6,5,9,8,7,4,3,1,2]=>10111110=>[1,2,1,1,1,1,2] [8,7,4,6,5,3,1,2]=>1101110=>[1,1,2,1,1,2] [9,5,8,7,6,4,3,1,2]=>10111110=>[1,2,1,1,1,1,2] [6,10,9,8,7,5,4,3,1,2]=>011111110=>[2,1,1,1,1,1,1,2] [8,1,4,3,6,2,5,7]=>1010100=>[1,2,2,3] [1,6,3,7,8,4,2,5]=>0100110=>[2,3,1,2] [5,3,8,4,6,7,2,1]=>1010011=>[1,2,3,1,1] [4,3,5,8,6,7,2,1]=>1001011=>[1,3,2,1,1] [3,2,7,8,5,6,4,1]=>1001011=>[1,3,2,1,1] [4,7,3,8,5,6,2,1]=>0101011=>[2,2,2,1,1] [7,1,4,8,5,6,3,2]=>1001011=>[1,3,2,1,1] [4,3,8,7,2,5,6,1]=>1011001=>[1,2,1,3,1] [1,7,3,8,6,4,5,2]=>0101101=>[2,2,1,2,1] [7,4,2,8,5,6,3,1]=>1101011=>[1,1,2,2,1,1] [3,4,8,2,6,7,5,1]=>0010011=>[3,3,1,1] [1,6,3,8,7,4,5,2]=>0101101=>[2,2,1,2,1] [1,4,5,8,7,6,2,3]=>0001110=>[4,1,1,2] [5,2,1,3,8,4,6,7]=>1100100=>[1,1,3,3] [1,4,3,5,8,2,6,7]=>0100100=>[2,3,3] [2,1,3,8,6,4,5,7]=>1001100=>[1,3,1,3] [1,3,6,4,5,8,2,7]=>0010010=>[3,3,2] [6,1,4,3,5,8,2,7]=>1010010=>[1,2,3,2] [6,5,1,3,8,2,4,7]=>1100100=>[1,1,3,3] [1,4,3,8,6,2,5,7]=>0101100=>[2,2,1,3] [4,1,3,8,6,2,5,7]=>1001100=>[1,3,1,3] [7,1,5,4,6,3,8,2]=>1010101=>[1,2,2,2,1] [8,9,7,6,5,4,3,2,10,1]=>011111101=>[2,1,1,1,1,1,2,1] [7,6,8,5,4,3,2,9,1]=>10111101=>[1,2,1,1,1,2,1] [6,8,7,5,4,3,2,9,1]=>01111101=>[2,1,1,1,1,2,1] [6,4,7,8,3,5,1,2]=>1001010=>[1,3,2,2] [3,5,6,7,1,8,4,2]=>0001011=>[4,2,1,1] [2,7,8,3,6,1,5,4]=>0010101=>[3,2,2,1] [1,7,8,3,6,2,5,4]=>0010101=>[3,2,2,1] [7,4,3,5,8,1,6,2]=>1100101=>[1,1,3,2,1] [7,3,6,4,1,8,5,2]=>1011011=>[1,2,1,2,1,1] [7,8,4,3,6,1,5,2]=>0110101=>[2,1,2,2,1] [7,1,6,4,3,8,5,2]=>1011011=>[1,2,1,2,1,1] [8,7,3,4,1,5,2,6]=>1101010=>[1,1,2,2,2] [7,2,6,4,3,8,5,1]=>1011011=>[1,2,1,2,1,1] [1,7,5,4,3,8,2,6]=>0111010=>[2,1,1,2,2] [4,5,8,1,7,3,2,6]=>0010110=>[3,2,1,2] [4,6,7,1,3,8,2,5]=>0010010=>[3,3,2] [2,3,4,5,6,1,8,9,7]=>00001001=>[5,3,1] [2,3,4,5,1,7,8,9,6]=>00010001=>[4,4,1] [2,6,3,1,4,7,8,5]=>0110001=>[2,1,4,1] [2,9,3,4,5,6,1,7,8]=>01000100=>[2,4,3] [2,3,4,5,6,7,1,9,10,8]=>000001001=>[6,3,1] [2,7,3,4,1,8,5,6]=>0101010=>[2,2,2,2] [2,8,3,4,5,1,6,9,7]=>01001001=>[2,3,3,1] [2,7,3,4,1,5,8,9,6]=>01010001=>[2,2,4,1] [2,3,4,5,1,7,8,9,10,6]=>000100001=>[4,5,1] [2,6,3,1,4,7,8,9,5]=>01100001=>[2,1,5,1] [2,3,1,5,6,7,8,9,10,4]=>010000001=>[2,7,1] [7,5,8,2,4,3,1,6]=>1010110=>[1,2,2,1,2] [2,3,7,8,1,4,6,5]=>0001001=>[4,3,1] [8,2,3,5,4,1,7,6]=>1001101=>[1,3,1,2,1] [7,1,3,8,2,4,6,5]=>1001001=>[1,3,3,1] [7,2,3,6,4,1,8,5]=>1001101=>[1,3,1,2,1] [6,5,2,4,1,8,3,7]=>1101010=>[1,1,2,2,2] [5,7,2,4,1,3,8,6]=>0101001=>[2,2,3,1] [6,2,5,4,1,8,3,7]=>1011010=>[1,2,1,2,2] [4,2,5,3,7,6,9,8,1]=>10101011=>[1,2,2,2,1,1] [4,2,6,3,7,5,9,8,1]=>10101011=>[1,2,2,2,1,1] [4,2,6,3,8,5,9,7,1]=>10101011=>[1,2,2,2,1,1] [4,2,6,3,8,5,1,7,9]=>10101100=>[1,2,2,1,3] [4,2,6,3,5,8,1,7]=>1010010=>[1,2,3,2] [4,2,6,3,8,5,7,1,9]=>10101010=>[1,2,2,2,2] [4,2,6,3,5,8,7,1,9]=>10100110=>[1,2,3,1,2] [4,2,3,6,5,8,7,1,9]=>10010110=>[1,3,2,1,2] [4,2,5,3,7,6,9,8,1,10]=>101010110=>[1,2,2,2,1,2] [5,2,6,3,7,4,9,8,1]=>10101011=>[1,2,2,2,1,1] [4,2,6,3,7,5,9,8,1,10]=>101010110=>[1,2,2,2,1,2] [4,2,7,3,8,5,9,6,1]=>10101011=>[1,2,2,2,1,1] [4,2,6,3,8,5,9,7,1,10]=>101010110=>[1,2,2,2,1,2] [4,2,6,3,9,5,1,7,8]=>10101100=>[1,2,2,1,3] [4,2,6,3,8,5,10,7,1,9]=>101010110=>[1,2,2,2,1,2] [4,2,6,3,8,5,7,9,1]=>10101001=>[1,2,2,3,1] [4,2,6,3,8,5,10,7,9,1]=>101010101=>[1,2,2,2,2,1] [4,2,6,3,5,8,1,7,9]=>10100100=>[1,2,3,3] [4,2,6,3,8,5,7,10,9,1]=>101010011=>[1,2,2,3,1,1] [4,2,3,6,8,5,7,1,9]=>10001010=>[1,4,2,2] [4,2,6,3,5,8,7,10,9,1]=>101001011=>[1,2,3,2,1,1] [2,4,6,3,5,8,7,1,9]=>00100110=>[3,3,1,2] [4,2,3,6,5,8,7,10,9,1]=>100101011=>[1,3,2,2,1,1] [7,4,2,6,8,5,3,1]=>1100111=>[1,1,3,1,1,1] [8,5,2,4,6,3,1,7]=>1100110=>[1,1,3,1,2] [7,4,1,2,8,5,6,3]=>1100101=>[1,1,3,2,1] [6,4,1,8,5,2,3,7]=>1101100=>[1,1,2,1,3] [8,4,1,6,3,5,2,7]=>1101010=>[1,1,2,2,2] [7,3,4,1,6,8,5,2]=>1010011=>[1,2,3,1,1] [8,6,2,3,5,7,4,1]=>1100011=>[1,1,4,1,1] [8,6,2,5,7,3,4,1]=>1100101=>[1,1,3,2,1] [6,3,4,8,5,1,2,7]=>1001100=>[1,3,1,3] [8,5,1,2,7,4,6,3]=>1100101=>[1,1,3,2,1] [7,2,6,8,3,4,5,1]=>1001001=>[1,3,3,1] [1,6,7,5,4,8,2,3]=>0011010=>[3,1,2,2] [1,8,5,4,2,6,3,7]=>0111010=>[2,1,1,2,2] [3,4,5,6,9,2,1,8,7]=>00001101=>[5,1,2,1] [3,4,5,8,2,9,1,7,6]=>00010101=>[4,2,2,1] [3,4,7,2,8,9,1,5,6]=>00100100=>[3,3,3] [3,6,2,7,8,9,1,5,4]=>01000101=>[2,4,2,1] [5,2,6,7,8,9,1,4,3]=>10000101=>[1,5,2,1] [3,4,5,6,7,8,9,11,1,10,2]=>0000000101=>[8,2,1] [3,4,5,6,9,1,7,8,2]=>00001001=>[5,3,1] [3,4,5,6,7,10,2,1,9,8]=>000001101=>[6,1,2,1] [3,4,5,6,7,8,10,11,1,9,2]=>0000000101=>[8,2,1] [3,4,5,8,9,6,1,7,2]=>00001101=>[5,1,2,1] [3,4,5,6,9,2,10,1,8,7]=>000010101=>[5,2,2,1] [3,4,7,8,5,9,1,2,6]=>00010100=>[4,2,3] [3,4,5,9,2,6,1,8,7]=>00010101=>[4,2,2,1] [3,4,5,8,2,9,10,1,6,7]=>000100100=>[4,3,3] [3,4,5,6,8,9,10,11,1,7,2]=>0000000101=>[8,2,1] [3,6,7,4,8,9,1,5,2]=>00100101=>[3,3,2,1] [3,4,8,2,5,9,1,7,6]=>00100101=>[3,3,2,1] [3,4,7,2,8,9,10,1,6,5]=>001000101=>[3,4,2,1] [3,4,5,7,8,9,10,11,1,6,2]=>0000000101=>[8,2,1] [5,6,3,7,8,9,1,4,2]=>01000101=>[2,4,2,1] [3,7,2,4,8,9,1,5,6]=>01000100=>[2,4,3] [3,6,2,7,8,9,10,1,5,4]=>010000101=>[2,5,2,1] [6,2,3,7,8,9,1,5,4]=>10000101=>[1,5,2,1] [5,2,6,7,8,9,10,1,3,4]=>100000100=>[1,6,3] [3,5,6,7,8,9,10,11,1,4,2]=>0000000101=>[8,2,1] [4,5,6,7,8,9,10,11,1,3,2]=>0000000101=>[8,2,1] [8,9,7,6,5,4,1,3,2]=>01111101=>[2,1,1,1,1,2,1] [8,7,9,6,5,4,1,3,2]=>10111101=>[1,2,1,1,1,2,1] [9,7,8,6,5,4,1,3,2]=>10111101=>[1,2,1,1,1,2,1] [9,10,8,7,6,5,4,1,3,2]=>011111101=>[2,1,1,1,1,1,2,1] [10,8,7,6,5,4,3,2,9,1]=>111111101=>[1,1,1,1,1,1,1,2,1] [5,7,3,6,2,1,4,8]=>0101100=>[2,2,1,3] [1,3,2,4,5,6,9,7,8]=>01000010=>[2,5,2] [2,3,1,4,5,6,9,7,8]=>01000010=>[2,5,2] [5,8,6,1,2,4,3,7]=>0110010=>[2,1,3,2] [4,1,5,7,3,6,8,2]=>1001001=>[1,3,3,1] [1,4,5,7,6,8,2,3]=>0001010=>[4,2,2] [5,7,2,1,6,8,4,3]=>0110011=>[2,1,3,1,1] [2,6,3,1,7,8,5,4]=>0110011=>[2,1,3,1,1] [6,2,5,7,4,1,8,3]=>1001101=>[1,3,1,2,1] [3,6,1,8,7,4,5,2]=>0101101=>[2,2,1,2,1] [4,3,9,5,6,7,8,2,1]=>10100011=>[1,2,4,1,1] [10,2,3,4,5,6,7,8,9,11,1]=>1000000001=>[1,9,1] [2,9,4,5,6,7,8,1,10,3]=>010000101=>[2,5,2,1] [3,2,8,5,6,7,1,9,4]=>10100101=>[1,2,3,2,1] [7,8,4,5,6,1,3,9,2]=>01001001=>[2,3,3,1] [3,4,1,9,6,7,8,2,5]=>01010010=>[2,2,3,2] [4,8,9,5,6,7,2,1,3]=>00100110=>[3,3,1,2] [4,3,10,5,6,7,8,9,2,1]=>101000011=>[1,2,5,1,1] [11,2,3,4,5,6,7,8,9,10,12,1]=>10000000001=>[1,10,1] [2,10,4,5,6,7,8,9,1,11,3]=>0100000101=>[2,6,2,1] [3,2,9,5,6,7,8,1,10,4]=>101000101=>[1,2,4,2,1] [8,9,4,5,6,7,1,3,10,2]=>010001001=>[2,4,3,1] [4,2,3,8,6,7,1,9,5]=>10010101=>[1,3,2,2,1] [6,8,4,5,1,3,7,9,2]=>01010001=>[2,2,4,1] [4,7,1,3,5,6,8,2]=>0100001=>[2,5,1] [4,3,5,7,8,2,6,1]=>1000101=>[1,4,2,1] [3,5,1,4,9,7,8,2,6]=>01001010=>[2,3,2,2] [8,3,4,9,6,7,2,5,1]=>10010101=>[1,3,2,2,1] [3,4,1,10,6,7,8,9,2,5]=>010100010=>[2,2,4,2] [4,7,9,5,6,2,1,8,3]=>00101101=>[3,2,1,2,1] [4,9,10,5,6,7,8,2,1,3]=>001000110=>[3,4,1,2] [5,3,2,7,6,4,1,8]=>1101110=>[1,1,2,1,1,2] [5,3,7,4,6,2,1,8]=>1010110=>[1,2,2,1,2] [5,7,3,2,1,8,6,4]=>0111011=>[2,1,1,2,1,1] [5,7,6,3,2,1,8,4]=>0111101=>[2,1,1,1,2,1] [3,2,7,5,4,1,8,6]=>1011101=>[1,2,1,1,2,1] [1,7,3,5,4,2,6,8]=>0101100=>[2,2,1,3] [5,3,7,4,1,8,6,2]=>1011011=>[1,2,1,2,1,1] [7,3,5,4,1,6,8,2]=>1011001=>[1,2,1,3,1] [7,5,1,6,8,3,2,4]=>1100110=>[1,1,3,1,2] [5,3,1,7,6,8,2,4]=>1101010=>[1,1,2,2,2] [7,1,5,3,2,4,8,6]=>1011001=>[1,2,1,3,1] [8,1,2,5,3,4,6,7,9]=>10010000=>[1,3,5] [7,1,5,2,4,3,6,8]=>1010100=>[1,2,2,3] [1,9,2,3,6,4,5,7,8]=>01001000=>[2,3,4] [9,1,2,3,6,4,5,7,8,10]=>100010000=>[1,4,5] [8,1,2,6,4,3,5,7,9]=>10011000=>[1,3,1,4] [8,1,2,6,3,5,4,7,9]=>10010100=>[1,3,2,3] [1,9,2,3,7,5,4,6,8]=>01001100=>[2,3,1,3] [1,9,2,3,7,4,6,5,8]=>01001010=>[2,3,2,2] [6,8,7,3,2,1,5,4]=>0111101=>[2,1,1,1,2,1] [3,6,8,7,2,4,1,5]=>0011010=>[3,1,2,2] [5,7,3,6,2,1,8,4]=>0101101=>[2,2,1,2,1] [3,6,5,2,4,8,1,7]=>0110010=>[2,1,3,2] [5,6,7,8,9,3,2,1,4]=>00001110=>[5,1,1,2] [6,7,8,9,3,4,1,2,5]=>00010100=>[4,2,3] [6,7,8,9,3,4,2,1,5]=>00010110=>[4,2,1,2] [7,8,9,3,4,5,1,2,6]=>00100100=>[3,3,3] [7,8,9,3,4,5,2,1,6]=>00100110=>[3,3,1,2] [7,8,9,4,5,2,3,1,6]=>00101010=>[3,2,2,2] [7,8,9,4,5,3,2,1,6]=>00101110=>[3,2,1,1,2] [8,9,4,5,6,2,3,1,7]=>01001010=>[2,3,2,2] [8,9,4,5,6,3,2,1,7]=>01001110=>[2,3,1,1,2] [8,9,5,6,3,4,1,2,7]=>01010100=>[2,2,2,3] [8,9,5,6,3,4,2,1,7]=>01010110=>[2,2,2,1,2] [8,9,5,6,4,3,2,1,7]=>01011110=>[2,2,1,1,1,2] [9,6,7,4,5,3,2,1,8]=>10101110=>[1,2,2,1,1,2] [5,6,7,8,9,10,3,2,1,4]=>000001110=>[6,1,1,2] [7,8,9,10,3,4,5,1,2,6]=>000100100=>[4,3,3] [7,8,9,10,3,4,5,2,1,6]=>000100110=>[4,3,1,2] [7,8,9,10,4,5,2,3,1,6]=>000101010=>[4,2,2,2] [7,8,9,10,4,5,3,2,1,6]=>000101110=>[4,2,1,1,2] [7,8,9,10,5,4,3,2,1,6]=>000111110=>[4,1,1,1,1,2] [8,9,10,3,4,5,6,1,2,7]=>001000100=>[3,4,3] [8,9,10,3,4,5,6,2,1,7]=>001000110=>[3,4,1,2] [8,9,10,4,5,6,1,2,3,7]=>001001000=>[3,3,4] [8,9,10,4,5,6,3,2,1,7]=>001001110=>[3,3,1,1,2] [8,9,10,5,6,3,4,1,2,7]=>001010100=>[3,2,2,3] [8,9,10,5,6,3,4,2,1,7]=>001010110=>[3,2,2,1,2] [8,9,10,5,6,4,3,2,1,7]=>001011110=>[3,2,1,1,1,2] [8,9,10,6,5,4,3,2,1,7]=>001111110=>[3,1,1,1,1,1,2] [9,10,5,6,7,2,3,4,1,8]=>010010010=>[2,3,3,2] [9,10,5,6,7,3,4,1,2,8]=>010010100=>[2,3,2,3] [9,10,5,6,7,3,4,2,1,8]=>010010110=>[2,3,2,1,2] [9,10,5,6,7,4,3,2,1,8]=>010011110=>[2,3,1,1,1,2] [9,10,6,7,4,5,3,2,1,8]=>010101110=>[2,2,2,1,1,2] [9,10,6,7,5,4,3,2,1,8]=>010111110=>[2,2,1,1,1,1,2] [9,10,7,6,5,4,3,2,1,8]=>011111110=>[2,1,1,1,1,1,1,2] [10,7,8,5,6,3,4,2,1,9]=>101010110=>[1,2,2,2,1,2] [10,7,8,5,6,4,3,2,1,9]=>101011110=>[1,2,2,1,1,1,2] [10,7,8,6,5,4,3,2,1,9]=>101111110=>[1,2,1,1,1,1,1,2] [1,8,3,6,2,4,7,5]=>0101001=>[2,2,3,1] [1,8,7,5,6,4,2,3]=>0110110=>[2,1,2,1,2] [6,8,2,1,5,4,3,7]=>0110110=>[2,1,2,1,2] [10,9,1,2,3,7,8,4,5,6]=>110000100=>[1,1,5,3] [10,9,1,2,8,7,3,4,5,6]=>110011000=>[1,1,3,1,4] [9,8,1,10,7,2,3,4,5,6]=>110110000=>[1,1,2,1,5] [8,6,1,2,3,4,5,9,10,7]=>110000001=>[1,1,7,1] [5,7,1,2,3,4,8,9,10,6]=>010000001=>[2,7,1] [8,11,1,2,3,4,5,9,10,6,7]=>0100000010=>[2,7,2] [10,4,1,2,3,7,8,9,5,6]=>110000010=>[1,1,6,2] [10,11,1,2,3,4,8,9,5,6,7]=>0100000100=>[2,6,3] [10,3,1,2,9,7,8,4,5,6]=>110010100=>[1,1,3,2,3] [2,9,1,10,8,7,3,4,5,6]=>010111000=>[2,2,1,1,4] [10,9,1,2,11,8,3,4,5,6,7]=>1100110000=>[1,1,3,1,5] [11,8,9,10,1,2,3,4,5,6,7]=>1001000000=>[1,3,7] [6,3,2,1,5,8,4,7]=>1110010=>[1,1,1,3,2] [4,3,5,6,2,8,1,7]=>1001010=>[1,3,2,2] [6,3,5,2,7,8,4,1]=>1010011=>[1,2,3,1,1] [4,5,3,1,6,8,2,7]=>0110010=>[2,1,3,2] [3,4,6,7,5,1,8,2]=>0001101=>[4,1,2,1] [7,4,1,2,5,6,8,3]=>1100001=>[1,1,5,1] [4,8,2,6,7,1,5,3]=>0100101=>[2,3,2,1] [6,5,8,3,7,1,4,2]=>1010101=>[1,2,2,2,1] [4,2,6,1,3,5,8,7,9]=>10100010=>[1,2,4,2] [4,2,6,1,8,3,5,7,9]=>10101000=>[1,2,2,4] [4,2,6,1,3,5,8,7,10,9]=>101000101=>[1,2,4,2,1] [4,2,8,1,3,6,5,7,9]=>10100100=>[1,2,3,3] [4,2,6,1,8,3,5,7,10,9]=>101010001=>[1,2,2,4,1] [4,2,6,1,9,3,5,8,7]=>10101001=>[1,2,2,3,1] [4,2,6,1,8,3,10,5,7,9]=>101010100=>[1,2,2,2,3] [9,7,1,8,2,3,4,5,6]=>11010000=>[1,1,2,5] [9,6,1,7,2,8,3,4,5]=>11010100=>[1,1,2,2,3] [8,6,1,9,7,2,3,4,5]=>11011000=>[1,1,2,1,4] [9,8,6,1,7,2,3,4,5]=>11101000=>[1,1,1,2,4] [8,5,1,9,6,2,7,3,4]=>11011010=>[1,1,2,1,2,2] [9,8,5,1,6,2,7,3,4]=>11101010=>[1,1,1,2,2,2] [9,7,5,1,8,6,2,3,4]=>11101100=>[1,1,1,2,1,3] [9,8,7,5,1,6,2,3,4]=>11110100=>[1,1,1,1,2,3] [9,7,4,1,8,5,2,6,3]=>11101101=>[1,1,1,2,1,2,1] [9,8,7,4,1,5,2,6,3]=>11110101=>[1,1,1,1,2,2,1] [8,6,4,1,9,7,5,2,3]=>11101110=>[1,1,1,2,1,1,2] [9,8,6,4,1,7,5,2,3]=>11110110=>[1,1,1,1,2,1,2] [9,8,7,6,4,1,5,2,3]=>11111010=>[1,1,1,1,1,2,2] [9,8,7,5,3,1,6,4,2]=>11111011=>[1,1,1,1,1,2,1,1] [10,7,1,8,2,9,3,4,5,6]=>110101000=>[1,1,2,2,4] [9,7,1,10,8,2,3,4,5,6]=>110110000=>[1,1,2,1,5] [10,9,7,1,8,2,3,4,5,6]=>111010000=>[1,1,1,2,5] [10,6,1,7,2,8,3,9,4,5]=>110101010=>[1,1,2,2,2,2] [9,6,1,10,7,2,8,3,4,5]=>110110100=>[1,1,2,1,2,3] [10,9,6,1,7,2,8,3,4,5]=>111010100=>[1,1,1,2,2,3] [10,8,6,1,9,7,2,3,4,5]=>111011000=>[1,1,1,2,1,4] [10,9,8,6,1,7,2,3,4,5]=>111101000=>[1,1,1,1,2,4] [9,5,1,10,6,2,7,3,8,4]=>110110101=>[1,1,2,1,2,2,1] [10,9,5,1,6,2,7,3,8,4]=>111010101=>[1,1,1,2,2,2,1] [8,5,1,9,6,2,10,7,3,4]=>110110110=>[1,1,2,1,2,1,2] [10,8,5,1,9,6,2,7,3,4]=>111011010=>[1,1,1,2,1,2,2] [10,9,8,5,1,6,2,7,3,4]=>111101010=>[1,1,1,1,2,2,2] [9,7,5,1,10,8,6,2,3,4]=>111011100=>[1,1,1,2,1,1,3] [10,9,7,5,1,8,6,2,3,4]=>111101100=>[1,1,1,1,2,1,3] [10,9,8,7,5,1,6,2,3,4]=>111110100=>[1,1,1,1,1,2,3] [9,7,4,1,10,8,5,2,6,3]=>111011101=>[1,1,1,2,1,1,2,1] [10,9,7,4,1,8,5,2,6,3]=>111101101=>[1,1,1,1,2,1,2,1] [10,9,8,7,4,1,5,2,6,3]=>111110101=>[1,1,1,1,1,2,2,1] [10,8,6,4,1,9,7,5,2,3]=>111101110=>[1,1,1,1,2,1,1,2] [10,9,8,6,4,1,7,5,2,3]=>111110110=>[1,1,1,1,1,2,1,2] [10,9,8,7,6,4,1,5,2,3]=>111111010=>[1,1,1,1,1,1,2,2] [10,9,7,5,3,1,8,6,4,2]=>111110111=>[1,1,1,1,1,2,1,1,1] [10,9,8,7,5,3,1,6,4,2]=>111111011=>[1,1,1,1,1,1,2,1,1] [10,9,8,7,6,5,3,1,4,2]=>111111101=>[1,1,1,1,1,1,1,2,1] [9,1,2,8,4,3,5,6,7]=>10011000=>[1,3,1,4] [8,1,9,3,2,4,6,5,7]=>10110010=>[1,2,1,3,2] [9,8,2,1,3,5,6,4,7]=>11100010=>[1,1,1,4,2] [8,1,9,2,4,5,6,3,7]=>10100010=>[1,2,4,2] [2,3,4,10,6,7,8,9,1,5]=>000100010=>[4,4,2] [2,3,10,5,6,7,8,9,1,4]=>001000010=>[3,5,2] [2,3,4,5,6,10,1,9,7,8]=>000001010=>[6,2,2] [2,3,4,5,6,7,11,9,10,1,8]=>0000001010=>[7,2,2] [2,3,4,5,10,1,8,9,6,7]=>000010010=>[5,3,2] [2,3,4,5,6,11,8,9,10,1,7]=>0000010010=>[6,3,2] [2,3,10,1,6,7,8,9,4,5]=>001000010=>[3,5,2] [2,3,4,11,6,7,8,9,10,1,5]=>0001000010=>[4,5,2] [2,3,11,5,6,7,8,9,10,1,4]=>0010000010=>[3,6,2] [1,5,2,4,7,6,8,3]=>0100101=>[2,3,2,1] [1,4,3,6,5,8,7,9,2]=>01010101=>[2,2,2,2,1] [1,4,2,6,5,8,7,9,3]=>01010101=>[2,2,2,2,1] [1,5,2,6,4,8,7,9,3]=>01010101=>[2,2,2,2,1] [1,5,2,7,4,8,6,9,3]=>01010101=>[2,2,2,2,1] [1,5,2,7,4,9,6,8,3]=>01010101=>[2,2,2,2,1] [1,5,2,7,4,6,9,8,3]=>01010011=>[2,2,3,1,1] [1,5,2,4,7,6,9,8,3]=>01001011=>[2,3,2,1,1] [1,2,5,4,7,6,9,8,3]=>00101011=>[3,2,2,1,1] [1,4,2,6,5,8,7,10,9,3]=>010101011=>[2,2,2,2,1,1] [1,5,2,6,3,8,7,9,4]=>01010101=>[2,2,2,2,1] [1,5,2,6,4,8,7,10,9,3]=>010101011=>[2,2,2,2,1,1] [1,6,2,7,4,8,5,9,3]=>01010101=>[2,2,2,2,1] [1,5,2,7,4,8,6,10,9,3]=>010101011=>[2,2,2,2,1,1] [1,5,2,8,4,9,6,7,3]=>01010101=>[2,2,2,2,1] [1,5,2,7,4,9,6,10,8,3]=>010101011=>[2,2,2,2,1,1] [1,5,2,7,4,6,8,9,3]=>01010001=>[2,2,4,1] [1,5,2,7,4,9,6,8,10,3]=>010101001=>[2,2,2,3,1] [1,5,2,4,7,9,6,8,3]=>01000101=>[2,4,2,1] [1,5,2,7,4,6,9,8,10,3]=>010100101=>[2,2,3,2,1] [1,2,5,7,4,6,9,8,3]=>00010011=>[4,3,1,1] [1,5,2,4,7,6,9,8,10,3]=>010010101=>[2,3,2,2,1] [1,2,5,4,7,6,9,8,10,3]=>001010101=>[3,2,2,2,1] [2,5,4,7,1,8,3,6]=>0101010=>[2,2,2,2] [1,5,4,7,3,8,2,6]=>0101010=>[2,2,2,2] [1,2,6,7,3,5,4,8]=>0001010=>[4,2,2] [8,1,2,4,6,3,5,7]=>1000100=>[1,4,3] [4,5,6,7,9,8,3,2,1]=>00001111=>[5,1,1,1,1] [5,4,6,7,8,9,3,2,1]=>10000111=>[1,5,1,1,1] [5,6,7,8,10,9,4,3,2,1]=>000011111=>[5,1,1,1,1,1] [6,5,7,8,9,4,3,2,1]=>10001111=>[1,4,1,1,1,1] [6,5,7,8,9,10,4,3,2,1]=>100001111=>[1,5,1,1,1,1] [5,6,7,8,9,11,10,4,3,2,1]=>0000011111=>[6,1,1,1,1,1] [4,5,6,7,8,10,9,3,2,1]=>000001111=>[6,1,1,1,1] [4,5,6,7,3,9,8,2,1]=>00010111=>[4,2,1,1,1] [3,5,6,7,9,8,4,2,1]=>00001111=>[5,1,1,1,1] [5,4,6,7,8,3,9,2,1]=>10001011=>[1,4,2,1,1] [4,3,6,7,8,9,5,2,1]=>10000111=>[1,5,1,1,1] [5,4,6,7,8,9,10,3,2,1]=>100000111=>[1,6,1,1,1] [6,5,7,8,9,10,11,4,3,2,1]=>1000001111=>[1,6,1,1,1,1] [3,4,5,6,8,9,7,1,2]=>00000110=>[6,1,2] [3,4,5,7,8,9,6,1,2]=>00000110=>[6,1,2] [3,5,6,7,8,9,4,1,2]=>00000110=>[6,1,2] [4,5,6,7,8,9,3,1,2]=>00000110=>[6,1,2] [3,4,5,6,7,9,10,8,1,2]=>000000110=>[7,1,2] [3,4,5,8,1,9,7,6,2]=>00010111=>[4,2,1,1,1] [3,4,5,6,8,9,10,7,1,2]=>000000110=>[7,1,2] [3,4,7,1,8,9,6,5,2]=>00100111=>[3,3,1,1,1] [3,6,1,7,8,9,4,5,2]=>01000101=>[2,4,2,1] [3,4,6,7,8,9,10,5,1,2]=>000000110=>[7,1,2] [5,1,6,7,8,9,4,3,2]=>10000111=>[1,5,1,1,1] [3,5,6,7,8,9,10,4,1,2]=>000000110=>[7,1,2] [1,5,6,7,8,9,3,2,4]=>00000110=>[6,1,2] [3,4,5,6,7,10,1,8,9,2]=>000001001=>[6,3,1] [3,4,5,6,7,8,10,11,9,1,2]=>0000000110=>[8,1,2] [3,4,5,8,9,6,7,1,2]=>00001010=>[5,2,2] [3,4,5,6,9,1,10,8,7,2]=>000010111=>[5,2,1,1,1] [3,4,5,6,7,9,10,11,8,1,2]=>0000000110=>[8,1,2] [3,4,7,8,5,9,6,1,2]=>00010110=>[4,2,1,2] [3,4,5,9,1,6,7,8,2]=>00010001=>[4,4,1] [3,4,5,8,1,9,10,7,6,2]=>000100111=>[4,3,1,1,1] [3,4,8,1,5,9,7,6,2]=>00100111=>[3,3,1,1,1] [3,4,7,1,8,9,10,5,6,2]=>001000101=>[3,4,2,1] [3,4,5,7,8,9,10,11,6,1,2]=>0000000110=>[8,1,2] [5,6,3,7,8,9,4,1,2]=>01000110=>[2,4,1,2] [3,7,8,4,5,6,1,2]=>0010010=>[3,3,2] [3,7,1,4,8,9,6,5,2]=>01000111=>[2,4,1,1,1] [3,6,1,7,8,9,10,5,4,2]=>010000111=>[2,5,1,1,1] [3,4,6,7,8,9,10,11,5,1,2]=>0000000110=>[8,1,2] [5,2,6,7,8,9,3,1,4]=>10000110=>[1,5,1,2] [6,1,3,7,8,9,4,5,2]=>10000101=>[1,5,2,1] [5,1,6,7,8,9,10,4,3,2]=>100000111=>[1,6,1,1,1] [1,2,6,7,8,9,4,3,5]=>00000110=>[6,1,2] [4,5,6,7,8,9,10,11,3,1,2]=>0000000110=>[8,1,2] [4,5,6,7,8,9,10,11,2,1,3]=>0000000110=>[8,1,2] [1,3,8,6,7,4,5,2]=>0010101=>[3,2,2,1] [2,6,5,3,7,1,8,4]=>0110101=>[2,1,2,2,1] [5,7,1,3,6,4,8,2]=>0100101=>[2,3,2,1] [8,2,5,4,1,7,3,6]=>1011010=>[1,2,1,2,2] [8,1,7,6,4,2,3,5]=>1011100=>[1,2,1,1,3] [1,8,6,3,7,4,5,2]=>0110101=>[2,1,2,2,1] [5,7,3,4,2,8,6,1]=>0101011=>[2,2,2,1,1] [5,8,3,4,2,7,6,1]=>0101011=>[2,2,2,1,1] [7,6,4,2,3,8,5,1]=>1110011=>[1,1,1,3,1,1] [3,5,6,8,2,4,7,1]=>0001001=>[4,3,1] [4,8,7,3,2,5,6,1]=>0111001=>[2,1,1,3,1] [3,7,4,2,6,8,5,1]=>0110011=>[2,1,3,1,1] [6,4,8,7,3,2,5,1]=>1011101=>[1,2,1,1,2,1] [5,6,2,8,7,4,3,1]=>0101111=>[2,2,1,1,1,1] [6,2,8,3,7,4,5,1]=>1010101=>[1,2,2,2,1] [3,7,5,6,4,2,8,1]=>0101101=>[2,2,1,2,1] [5,2,3,8,6,1,4,7]=>1001100=>[1,3,1,3] [1,4,3,8,5,6,2,7]=>0101010=>[2,2,2,2] [7,8,2,6,4,3,5,1]=>0101101=>[2,2,1,2,1] [4,5,8,7,2,3,6,1]=>0011001=>[3,1,3,1] [7,8,6,1,4,2,5,3]=>0110101=>[2,1,2,2,1] [6,10,5,1,2,3,4,7,8,9]=>011000000=>[2,1,7] [10,5,4,1,2,3,6,7,8,9]=>111000000=>[1,1,1,7] [8,3,6,5,2,7,1,4]=>1011010=>[1,2,1,2,2] [5,1,3,6,4,2,7,8]=>1001100=>[1,3,1,3] [6,1,2,4,7,5,3,8]=>1000110=>[1,4,1,2] [8,3,1,4,6,7,2,5]=>1100010=>[1,1,4,2] [7,8,5,1,2,6,3,4]=>0110010=>[2,1,3,2] [6,4,5,1,8,7,3,2]=>1010111=>[1,2,2,1,1,1] [8,6,2,1,7,3,5,4]=>1110101=>[1,1,1,2,2,1] [9,3,4,5,6,8,7,2,1]=>10000111=>[1,5,1,1,1] [9,4,3,5,6,7,8,2,1]=>11000011=>[1,1,5,1,1] [10,9,3,4,5,6,8,7,2,1]=>110000111=>[1,1,5,1,1,1] [9,8,3,4,5,7,6,2,1]=>11000111=>[1,1,4,1,1,1] [9,8,4,3,5,6,7,2,1]=>11100011=>[1,1,1,4,1,1] [10,9,4,3,5,6,7,8,2,1]=>111000011=>[1,1,1,5,1,1] [11,10,3,4,5,6,7,9,8,2,1]=>1100000111=>[1,1,6,1,1,1] [10,3,4,5,6,7,9,8,2,1]=>100000111=>[1,6,1,1,1] [9,3,4,5,6,2,8,7,1]=>10001011=>[1,4,2,1,1] [9,2,4,5,6,8,7,3,1]=>10000111=>[1,5,1,1,1] [9,4,3,5,6,7,2,8,1]=>11000101=>[1,1,4,2,1] [9,3,2,5,6,7,8,4,1]=>11000011=>[1,1,5,1,1] [10,4,3,5,6,7,8,9,2,1]=>110000011=>[1,1,6,1,1] [11,10,4,3,5,6,7,8,9,2,1]=>1110000011=>[1,1,1,6,1,1] [7,8,6,1,4,3,5,2]=>0110101=>[2,1,2,2,1] [4,6,3,5,7,2,8,1,9]=>01001010=>[2,3,2,2] [5,6,3,4,7,2,8,1,9]=>01001010=>[2,3,2,2] [4,3,6,2,5,7,1,8]=>1010010=>[1,2,3,2] [1,5,7,4,6,8,3,9,2]=>00100101=>[3,3,2,1] [1,6,5,7,3,4,8,2]=>0101001=>[2,2,3,1] [1,6,7,4,5,8,3,9,2]=>00100101=>[3,3,2,1] [1,7,5,6,8,4,9,3,10,2]=>010010101=>[2,3,2,2,1] [1,2,3,4,8,5,9,6,7]=>00001010=>[5,2,2] [1,2,3,4,5,8,6,9,7,10]=>000001010=>[6,2,2] [1,2,3,7,4,5,8,6,9]=>00010010=>[4,3,2] [1,2,3,4,8,6,5,7,9]=>00001100=>[5,1,3] [1,2,3,4,9,7,5,6,8]=>00001100=>[5,1,3] [1,2,3,4,5,9,6,10,7,8]=>000001010=>[6,2,2] [8,2,6,5,1,7,4,3]=>1011011=>[1,2,1,2,1,1] [7,6,4,1,2,5,8,3]=>1110001=>[1,1,1,4,1] [2,6,5,4,8,7,1,3]=>0110110=>[2,1,2,1,2] [5,6,7,1,3,2,4,8]=>0010100=>[3,2,3] [7,1,8,4,3,2,6,5]=>1011101=>[1,2,1,1,2,1] [2,1,4,9,3,5,6,7,8]=>10010000=>[1,3,5] [3,7,1,2,4,5,6,9,8]=>01000001=>[2,6,1] [3,1,2,6,9,4,5,7,8]=>10001000=>[1,4,4] [4,6,1,2,3,5,9,7,8]=>01000010=>[2,5,2] [1,8,5,2,7,6,4,3]=>0110111=>[2,1,2,1,1,1] [1,7,6,8,2,5,4,3]=>0101011=>[2,2,2,1,1] [1,7,8,6,2,5,4,3]=>0011011=>[3,1,2,1,1] [4,6,5,7,1,8,2,3]=>0101010=>[2,2,2,2] [7,5,3,6,8,4,2,1]=>1100111=>[1,1,3,1,1,1] [7,2,5,6,4,8,3,1]=>1001011=>[1,3,2,1,1] [7,4,6,2,8,5,3,1]=>1010111=>[1,2,2,1,1,1] [9,7,6,5,4,3,8,2,1]=>11111011=>[1,1,1,1,1,2,1,1] [9,8,6,5,4,7,3,2,1]=>11110111=>[1,1,1,1,2,1,1,1] [5,4,3,2,1,9,7,8,6]=>11110101=>[1,1,1,1,2,2,1] [10,8,7,6,5,4,3,9,2,1]=>111111011=>[1,1,1,1,1,1,2,1,1] [10,9,7,6,5,4,8,3,2,1]=>111110111=>[1,1,1,1,1,2,1,1,1] [1,6,3,4,2,5,8,7]=>0101001=>[2,2,3,1] [1,5,7,6,2,3,8,4]=>0011001=>[3,1,3,1] [1,4,3,7,6,2,5,8]=>0101100=>[2,2,1,3] [1,3,7,4,6,8,5,2]=>0010011=>[3,3,1,1] [3,7,4,6,8,1,5,2]=>0100101=>[2,3,2,1] [4,8,3,1,7,6,2,5]=>0110110=>[2,1,2,1,2] [2,6,7,5,3,4,1,8]=>0011010=>[3,1,2,2] [2,4,1,7,5,6,8,3]=>0101001=>[2,2,3,1] [7,2,4,8,3,5,1,6]=>1001010=>[1,3,2,2] [5,6,1,4,3,8,7,2]=>0101011=>[2,2,2,1,1] [5,8,6,4,3,1,7,2]=>0111101=>[2,1,1,1,2,1] [4,1,3,7,8,6,5,2]=>1000111=>[1,4,1,1,1]
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.
Map
to composition
Description
The composition corresponding to a binary word.
Prepending $1$ to a binary word $w$, the $i$-th part of the composition equals $1$ plus the number of zeros after the $i$-th $1$ in $w$.
This map is not surjective, since the empty composition does not have a preimage.