Identifier
Mp00235:
Permutations
—descent views to invisible inversion bottoms⟶
Permutations
Mp00236: Permutations —Clarke-Steingrimsson-Zeng inverse⟶ Permutations
Mp00130: Permutations —descent tops⟶ Binary words
Mp00236: Permutations —Clarke-Steingrimsson-Zeng inverse⟶ Permutations
Mp00130: Permutations —descent tops⟶ Binary words
Images
[1] => [1] => [1] =>
[1,2] => [1,2] => [1,2] => 0
[2,1] => [2,1] => [2,1] => 1
[1,2,3] => [1,2,3] => [1,2,3] => 00
[1,3,2] => [1,3,2] => [1,3,2] => 01
[2,1,3] => [2,1,3] => [2,1,3] => 10
[2,3,1] => [3,2,1] => [2,3,1] => 01
[3,1,2] => [3,1,2] => [3,1,2] => 01
[3,2,1] => [2,3,1] => [3,2,1] => 11
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 000
[1,2,4,3] => [1,2,4,3] => [1,2,4,3] => 001
[1,3,2,4] => [1,3,2,4] => [1,3,2,4] => 010
[1,3,4,2] => [1,4,3,2] => [1,3,4,2] => 001
[1,4,2,3] => [1,4,2,3] => [1,4,2,3] => 001
[1,4,3,2] => [1,3,4,2] => [1,4,3,2] => 011
[2,1,3,4] => [2,1,3,4] => [2,1,3,4] => 100
[2,1,4,3] => [2,1,4,3] => [2,1,4,3] => 101
[2,3,1,4] => [3,2,1,4] => [2,3,1,4] => 010
[2,3,4,1] => [4,2,3,1] => [2,3,4,1] => 001
[2,4,1,3] => [4,2,1,3] => [2,4,1,3] => 001
[2,4,3,1] => [3,2,4,1] => [2,4,3,1] => 011
[3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 010
[3,1,4,2] => [3,4,1,2] => [4,1,3,2] => 011
[3,2,1,4] => [2,3,1,4] => [3,2,1,4] => 110
[3,2,4,1] => [4,3,2,1] => [3,2,4,1] => 011
[3,4,1,2] => [4,1,3,2] => [3,4,1,2] => 001
[3,4,2,1] => [2,4,3,1] => [3,4,2,1] => 101
[4,1,2,3] => [4,1,2,3] => [4,1,2,3] => 001
[4,1,3,2] => [4,3,1,2] => [3,1,4,2] => 011
[4,2,1,3] => [2,4,1,3] => [4,2,1,3] => 101
[4,2,3,1] => [3,4,2,1] => [4,2,3,1] => 011
[4,3,1,2] => [3,1,4,2] => [4,3,1,2] => 011
[4,3,2,1] => [2,3,4,1] => [4,3,2,1] => 111
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0000
[1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0001
[1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0010
[1,2,4,5,3] => [1,2,5,4,3] => [1,2,4,5,3] => 0001
[1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0001
[1,2,5,4,3] => [1,2,4,5,3] => [1,2,5,4,3] => 0011
[1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0100
[1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0101
[1,3,4,2,5] => [1,4,3,2,5] => [1,3,4,2,5] => 0010
[1,3,4,5,2] => [1,5,3,4,2] => [1,3,4,5,2] => 0001
[1,3,5,2,4] => [1,5,3,2,4] => [1,3,5,2,4] => 0001
[1,3,5,4,2] => [1,4,3,5,2] => [1,3,5,4,2] => 0011
[1,4,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0010
[1,4,2,5,3] => [1,4,5,2,3] => [1,5,2,4,3] => 0011
[1,4,3,2,5] => [1,3,4,2,5] => [1,4,3,2,5] => 0110
[1,4,3,5,2] => [1,5,4,3,2] => [1,4,3,5,2] => 0011
[1,4,5,2,3] => [1,5,2,4,3] => [1,4,5,2,3] => 0001
[1,4,5,3,2] => [1,3,5,4,2] => [1,4,5,3,2] => 0101
[1,5,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0001
[1,5,2,4,3] => [1,5,4,2,3] => [1,4,2,5,3] => 0011
[1,5,3,2,4] => [1,3,5,2,4] => [1,5,3,2,4] => 0101
[1,5,3,4,2] => [1,4,5,3,2] => [1,5,3,4,2] => 0011
[1,5,4,2,3] => [1,4,2,5,3] => [1,5,4,2,3] => 0011
[1,5,4,3,2] => [1,3,4,5,2] => [1,5,4,3,2] => 0111
[2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => 1000
[2,1,3,5,4] => [2,1,3,5,4] => [2,1,3,5,4] => 1001
[2,1,4,3,5] => [2,1,4,3,5] => [2,1,4,3,5] => 1010
[2,1,4,5,3] => [2,1,5,4,3] => [2,1,4,5,3] => 1001
[2,1,5,3,4] => [2,1,5,3,4] => [2,1,5,3,4] => 1001
[2,1,5,4,3] => [2,1,4,5,3] => [2,1,5,4,3] => 1011
[2,3,1,4,5] => [3,2,1,4,5] => [2,3,1,4,5] => 0100
[2,3,1,5,4] => [3,2,1,5,4] => [2,3,1,5,4] => 0101
[2,3,4,1,5] => [4,2,3,1,5] => [2,3,4,1,5] => 0010
[2,3,4,5,1] => [5,2,3,4,1] => [2,3,4,5,1] => 0001
[2,3,5,1,4] => [5,2,3,1,4] => [2,3,5,1,4] => 0001
[2,3,5,4,1] => [4,2,3,5,1] => [2,3,5,4,1] => 0011
[2,4,1,3,5] => [4,2,1,3,5] => [2,4,1,3,5] => 0010
[2,4,1,5,3] => [4,2,5,1,3] => [2,5,1,4,3] => 0011
[2,4,3,1,5] => [3,2,4,1,5] => [2,4,3,1,5] => 0110
[2,4,3,5,1] => [5,2,4,3,1] => [2,4,3,5,1] => 0011
[2,4,5,1,3] => [5,2,1,4,3] => [2,4,5,1,3] => 0001
[2,4,5,3,1] => [3,2,5,4,1] => [2,4,5,3,1] => 0101
[2,5,1,3,4] => [5,2,1,3,4] => [2,5,1,3,4] => 0001
[2,5,1,4,3] => [5,2,4,1,3] => [2,4,1,5,3] => 0011
[2,5,3,1,4] => [3,2,5,1,4] => [2,5,3,1,4] => 0101
[2,5,3,4,1] => [4,2,5,3,1] => [2,5,3,4,1] => 0011
[2,5,4,1,3] => [4,2,1,5,3] => [2,5,4,1,3] => 0011
[2,5,4,3,1] => [3,2,4,5,1] => [2,5,4,3,1] => 0111
[3,1,2,4,5] => [3,1,2,4,5] => [3,1,2,4,5] => 0100
[3,1,2,5,4] => [3,1,2,5,4] => [3,1,2,5,4] => 0101
[3,1,4,2,5] => [3,4,1,2,5] => [4,1,3,2,5] => 0110
[3,1,4,5,2] => [3,5,1,4,2] => [4,5,1,3,2] => 0101
[3,1,5,2,4] => [3,5,1,2,4] => [5,1,3,2,4] => 0101
[3,1,5,4,2] => [3,4,1,5,2] => [5,4,1,3,2] => 0111
[3,2,1,4,5] => [2,3,1,4,5] => [3,2,1,4,5] => 1100
[3,2,1,5,4] => [2,3,1,5,4] => [3,2,1,5,4] => 1101
[3,2,4,1,5] => [4,3,2,1,5] => [3,2,4,1,5] => 0110
[3,2,4,5,1] => [5,3,2,4,1] => [3,2,4,5,1] => 0101
[3,2,5,1,4] => [5,3,2,1,4] => [3,2,5,1,4] => 0101
[3,2,5,4,1] => [4,3,2,5,1] => [3,2,5,4,1] => 0111
[3,4,1,2,5] => [4,1,3,2,5] => [3,4,1,2,5] => 0010
[3,4,1,5,2] => [4,5,3,1,2] => [3,5,1,4,2] => 0011
[3,4,2,1,5] => [2,4,3,1,5] => [3,4,2,1,5] => 1010
[3,4,2,5,1] => [5,4,3,2,1] => [3,4,2,5,1] => 0011
[3,4,5,1,2] => [5,1,3,4,2] => [3,4,5,1,2] => 0001
[3,4,5,2,1] => [2,5,3,4,1] => [3,4,5,2,1] => 1001
[3,5,1,2,4] => [5,1,3,2,4] => [3,5,1,2,4] => 0001
[3,5,1,4,2] => [5,4,3,1,2] => [3,4,1,5,2] => 0011
>>> Load all 25906 entries. <<<
[3,5,2,1,4] => [2,5,3,1,4] => [3,5,2,1,4] => 1001
[3,5,2,4,1] => [4,5,3,2,1] => [3,5,2,4,1] => 0011
[3,5,4,1,2] => [4,1,3,5,2] => [3,5,4,1,2] => 0011
[3,5,4,2,1] => [2,4,3,5,1] => [3,5,4,2,1] => 1011
[4,1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => 0010
[4,1,2,5,3] => [4,1,5,2,3] => [5,1,2,4,3] => 0011
[4,1,3,2,5] => [4,3,1,2,5] => [3,1,4,2,5] => 0110
[4,1,3,5,2] => [4,5,1,3,2] => [5,1,3,4,2] => 0011
[4,1,5,2,3] => [4,5,2,1,3] => [5,2,4,1,3] => 0011
[4,1,5,3,2] => [4,3,5,1,2] => [5,3,1,4,2] => 0111
[4,2,1,3,5] => [2,4,1,3,5] => [4,2,1,3,5] => 1010
[4,2,1,5,3] => [2,4,5,1,3] => [5,2,1,4,3] => 1011
[4,2,3,1,5] => [3,4,2,1,5] => [4,2,3,1,5] => 0110
[4,2,3,5,1] => [5,4,2,3,1] => [4,2,3,5,1] => 0011
[4,2,5,1,3] => [5,4,1,2,3] => [4,1,5,2,3] => 0011
[4,2,5,3,1] => [3,5,4,1,2] => [4,1,5,3,2] => 0111
[4,3,1,2,5] => [3,1,4,2,5] => [4,3,1,2,5] => 0110
[4,3,1,5,2] => [3,4,5,2,1] => [5,2,4,3,1] => 0111
[4,3,2,1,5] => [2,3,4,1,5] => [4,3,2,1,5] => 1110
[4,3,2,5,1] => [5,3,4,2,1] => [4,3,2,5,1] => 0111
[4,3,5,1,2] => [5,1,4,3,2] => [4,3,5,1,2] => 0011
[4,3,5,2,1] => [2,5,4,3,1] => [4,3,5,2,1] => 1011
[4,5,1,2,3] => [5,1,2,4,3] => [4,5,1,2,3] => 0001
[4,5,1,3,2] => [5,3,1,4,2] => [3,1,4,5,2] => 0101
[4,5,2,1,3] => [2,5,1,4,3] => [4,5,2,1,3] => 1001
[4,5,2,3,1] => [3,5,2,4,1] => [4,5,2,3,1] => 0101
[4,5,3,1,2] => [3,1,5,4,2] => [4,5,3,1,2] => 0101
[4,5,3,2,1] => [2,3,5,4,1] => [4,5,3,2,1] => 1101
[5,1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => 0001
[5,1,2,4,3] => [5,1,4,2,3] => [4,1,2,5,3] => 0011
[5,1,3,2,4] => [5,3,1,2,4] => [3,1,5,2,4] => 0101
[5,1,3,4,2] => [5,4,1,3,2] => [4,1,3,5,2] => 0011
[5,1,4,2,3] => [5,4,2,1,3] => [4,2,5,1,3] => 0011
[5,1,4,3,2] => [5,3,4,1,2] => [4,3,1,5,2] => 0111
[5,2,1,3,4] => [2,5,1,3,4] => [5,2,1,3,4] => 1001
[5,2,1,4,3] => [2,5,4,1,3] => [4,2,1,5,3] => 1011
[5,2,3,1,4] => [3,5,2,1,4] => [5,2,3,1,4] => 0101
[5,2,3,4,1] => [4,5,2,3,1] => [5,2,3,4,1] => 0011
[5,2,4,1,3] => [4,5,1,2,3] => [5,1,4,2,3] => 0011
[5,2,4,3,1] => [3,4,5,1,2] => [5,1,4,3,2] => 0111
[5,3,1,2,4] => [3,1,5,2,4] => [5,3,1,2,4] => 0101
[5,3,1,4,2] => [3,5,4,2,1] => [4,2,5,3,1] => 0111
[5,3,2,1,4] => [2,3,5,1,4] => [5,3,2,1,4] => 1101
[5,3,2,4,1] => [4,3,5,2,1] => [5,3,2,4,1] => 0111
[5,3,4,1,2] => [4,1,5,3,2] => [5,3,4,1,2] => 0011
[5,3,4,2,1] => [2,4,5,3,1] => [5,3,4,2,1] => 1011
[5,4,1,2,3] => [4,1,2,5,3] => [5,4,1,2,3] => 0011
[5,4,1,3,2] => [4,3,1,5,2] => [3,1,5,4,2] => 0111
[5,4,2,1,3] => [2,4,1,5,3] => [5,4,2,1,3] => 1011
[5,4,2,3,1] => [3,4,2,5,1] => [5,4,2,3,1] => 0111
[5,4,3,1,2] => [3,1,4,5,2] => [5,4,3,1,2] => 0111
[5,4,3,2,1] => [2,3,4,5,1] => [5,4,3,2,1] => 1111
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 00000
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 00001
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 00010
[1,2,3,5,6,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => 00001
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => 00001
[1,2,3,6,5,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => 00011
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 00100
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => 00101
[1,2,4,5,3,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => 00010
[1,2,4,5,6,3] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => 00001
[1,2,4,6,3,5] => [1,2,6,4,3,5] => [1,2,4,6,3,5] => 00001
[1,2,4,6,5,3] => [1,2,5,4,6,3] => [1,2,4,6,5,3] => 00011
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => 00010
[1,2,5,3,6,4] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => 00011
[1,2,5,4,3,6] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => 00110
[1,2,5,4,6,3] => [1,2,6,5,4,3] => [1,2,5,4,6,3] => 00011
[1,2,5,6,3,4] => [1,2,6,3,5,4] => [1,2,5,6,3,4] => 00001
[1,2,5,6,4,3] => [1,2,4,6,5,3] => [1,2,5,6,4,3] => 00101
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => 00001
[1,2,6,3,5,4] => [1,2,6,5,3,4] => [1,2,5,3,6,4] => 00011
[1,2,6,4,3,5] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => 00101
[1,2,6,4,5,3] => [1,2,5,6,4,3] => [1,2,6,4,5,3] => 00011
[1,2,6,5,3,4] => [1,2,5,3,6,4] => [1,2,6,5,3,4] => 00011
[1,2,6,5,4,3] => [1,2,4,5,6,3] => [1,2,6,5,4,3] => 00111
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 01000
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => 01001
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => 01010
[1,3,2,5,6,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => 01001
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => 01001
[1,3,2,6,5,4] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => 01011
[1,3,4,2,5,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => 00100
[1,3,4,2,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => 00101
[1,3,4,5,2,6] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => 00010
[1,3,4,5,6,2] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => 00001
[1,3,4,6,2,5] => [1,6,3,4,2,5] => [1,3,4,6,2,5] => 00001
[1,3,4,6,5,2] => [1,5,3,4,6,2] => [1,3,4,6,5,2] => 00011
[1,3,5,2,4,6] => [1,5,3,2,4,6] => [1,3,5,2,4,6] => 00010
[1,3,5,2,6,4] => [1,5,3,6,2,4] => [1,3,6,2,5,4] => 00011
[1,3,5,4,2,6] => [1,4,3,5,2,6] => [1,3,5,4,2,6] => 00110
[1,3,5,4,6,2] => [1,6,3,5,4,2] => [1,3,5,4,6,2] => 00011
[1,3,5,6,2,4] => [1,6,3,2,5,4] => [1,3,5,6,2,4] => 00001
[1,3,5,6,4,2] => [1,4,3,6,5,2] => [1,3,5,6,4,2] => 00101
[1,3,6,2,4,5] => [1,6,3,2,4,5] => [1,3,6,2,4,5] => 00001
[1,3,6,2,5,4] => [1,6,3,5,2,4] => [1,3,5,2,6,4] => 00011
[1,3,6,4,2,5] => [1,4,3,6,2,5] => [1,3,6,4,2,5] => 00101
[1,3,6,4,5,2] => [1,5,3,6,4,2] => [1,3,6,4,5,2] => 00011
[1,3,6,5,2,4] => [1,5,3,2,6,4] => [1,3,6,5,2,4] => 00011
[1,3,6,5,4,2] => [1,4,3,5,6,2] => [1,3,6,5,4,2] => 00111
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => 00100
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => 00101
[1,4,2,5,3,6] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => 00110
[1,4,2,5,6,3] => [1,4,6,2,5,3] => [1,5,6,2,4,3] => 00101
[1,4,2,6,3,5] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => 00101
[1,4,2,6,5,3] => [1,4,5,2,6,3] => [1,6,5,2,4,3] => 00111
[1,4,3,2,5,6] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => 01100
[1,4,3,2,6,5] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => 01101
[1,4,3,5,2,6] => [1,5,4,3,2,6] => [1,4,3,5,2,6] => 00110
[1,4,3,5,6,2] => [1,6,4,3,5,2] => [1,4,3,5,6,2] => 00101
[1,4,3,6,2,5] => [1,6,4,3,2,5] => [1,4,3,6,2,5] => 00101
[1,4,3,6,5,2] => [1,5,4,3,6,2] => [1,4,3,6,5,2] => 00111
[1,4,5,2,3,6] => [1,5,2,4,3,6] => [1,4,5,2,3,6] => 00010
[1,4,5,2,6,3] => [1,5,6,4,2,3] => [1,4,6,2,5,3] => 00011
[1,4,5,3,2,6] => [1,3,5,4,2,6] => [1,4,5,3,2,6] => 01010
[1,4,5,3,6,2] => [1,6,5,4,3,2] => [1,4,5,3,6,2] => 00011
[1,4,5,6,2,3] => [1,6,2,4,5,3] => [1,4,5,6,2,3] => 00001
[1,4,5,6,3,2] => [1,3,6,4,5,2] => [1,4,5,6,3,2] => 01001
[1,4,6,2,3,5] => [1,6,2,4,3,5] => [1,4,6,2,3,5] => 00001
[1,4,6,2,5,3] => [1,6,5,4,2,3] => [1,4,5,2,6,3] => 00011
[1,4,6,3,2,5] => [1,3,6,4,2,5] => [1,4,6,3,2,5] => 01001
[1,4,6,3,5,2] => [1,5,6,4,3,2] => [1,4,6,3,5,2] => 00011
[1,4,6,5,2,3] => [1,5,2,4,6,3] => [1,4,6,5,2,3] => 00011
[1,4,6,5,3,2] => [1,3,5,4,6,2] => [1,4,6,5,3,2] => 01011
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => 00010
[1,5,2,3,6,4] => [1,5,2,6,3,4] => [1,6,2,3,5,4] => 00011
[1,5,2,4,3,6] => [1,5,4,2,3,6] => [1,4,2,5,3,6] => 00110
[1,5,2,4,6,3] => [1,5,6,2,4,3] => [1,6,2,4,5,3] => 00011
[1,5,2,6,3,4] => [1,5,6,3,2,4] => [1,6,3,5,2,4] => 00011
[1,5,2,6,4,3] => [1,5,4,6,2,3] => [1,6,4,2,5,3] => 00111
[1,5,3,2,4,6] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => 01010
[1,5,3,2,6,4] => [1,3,5,6,2,4] => [1,6,3,2,5,4] => 01011
[1,5,3,4,2,6] => [1,4,5,3,2,6] => [1,5,3,4,2,6] => 00110
[1,5,3,4,6,2] => [1,6,5,3,4,2] => [1,5,3,4,6,2] => 00011
[1,5,3,6,2,4] => [1,6,5,2,3,4] => [1,5,2,6,3,4] => 00011
[1,5,3,6,4,2] => [1,4,6,5,2,3] => [1,5,2,6,4,3] => 00111
[1,5,4,2,3,6] => [1,4,2,5,3,6] => [1,5,4,2,3,6] => 00110
[1,5,4,2,6,3] => [1,4,5,6,3,2] => [1,6,3,5,4,2] => 00111
[1,5,4,3,2,6] => [1,3,4,5,2,6] => [1,5,4,3,2,6] => 01110
[1,5,4,3,6,2] => [1,6,4,5,3,2] => [1,5,4,3,6,2] => 00111
[1,5,4,6,2,3] => [1,6,2,5,4,3] => [1,5,4,6,2,3] => 00011
[1,5,4,6,3,2] => [1,3,6,5,4,2] => [1,5,4,6,3,2] => 01011
[1,5,6,2,3,4] => [1,6,2,3,5,4] => [1,5,6,2,3,4] => 00001
[1,5,6,2,4,3] => [1,6,4,2,5,3] => [1,4,2,5,6,3] => 00101
[1,5,6,3,2,4] => [1,3,6,2,5,4] => [1,5,6,3,2,4] => 01001
[1,5,6,3,4,2] => [1,4,6,3,5,2] => [1,5,6,3,4,2] => 00101
[1,5,6,4,2,3] => [1,4,2,6,5,3] => [1,5,6,4,2,3] => 00101
[1,5,6,4,3,2] => [1,3,4,6,5,2] => [1,5,6,4,3,2] => 01101
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => 00001
[1,6,2,3,5,4] => [1,6,2,5,3,4] => [1,5,2,3,6,4] => 00011
[1,6,2,4,3,5] => [1,6,4,2,3,5] => [1,4,2,6,3,5] => 00101
[1,6,2,4,5,3] => [1,6,5,2,4,3] => [1,5,2,4,6,3] => 00011
[1,6,2,5,3,4] => [1,6,5,3,2,4] => [1,5,3,6,2,4] => 00011
[1,6,2,5,4,3] => [1,6,4,5,2,3] => [1,5,4,2,6,3] => 00111
[1,6,3,2,4,5] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => 01001
[1,6,3,2,5,4] => [1,3,6,5,2,4] => [1,5,3,2,6,4] => 01011
[1,6,3,4,2,5] => [1,4,6,3,2,5] => [1,6,3,4,2,5] => 00101
[1,6,3,4,5,2] => [1,5,6,3,4,2] => [1,6,3,4,5,2] => 00011
[1,6,3,5,2,4] => [1,5,6,2,3,4] => [1,6,2,5,3,4] => 00011
[1,6,3,5,4,2] => [1,4,5,6,2,3] => [1,6,2,5,4,3] => 00111
[1,6,4,2,3,5] => [1,4,2,6,3,5] => [1,6,4,2,3,5] => 00101
[1,6,4,2,5,3] => [1,4,6,5,3,2] => [1,5,3,6,4,2] => 00111
[1,6,4,3,2,5] => [1,3,4,6,2,5] => [1,6,4,3,2,5] => 01101
[1,6,4,3,5,2] => [1,5,4,6,3,2] => [1,6,4,3,5,2] => 00111
[1,6,4,5,2,3] => [1,5,2,6,4,3] => [1,6,4,5,2,3] => 00011
[1,6,4,5,3,2] => [1,3,5,6,4,2] => [1,6,4,5,3,2] => 01011
[1,6,5,2,3,4] => [1,5,2,3,6,4] => [1,6,5,2,3,4] => 00011
[1,6,5,2,4,3] => [1,5,4,2,6,3] => [1,4,2,6,5,3] => 00111
[1,6,5,3,2,4] => [1,3,5,2,6,4] => [1,6,5,3,2,4] => 01011
[1,6,5,3,4,2] => [1,4,5,3,6,2] => [1,6,5,3,4,2] => 00111
[1,6,5,4,2,3] => [1,4,2,5,6,3] => [1,6,5,4,2,3] => 00111
[1,6,5,4,3,2] => [1,3,4,5,6,2] => [1,6,5,4,3,2] => 01111
[2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 10000
[2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => 10001
[2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => 10010
[2,1,3,5,6,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => 10001
[2,1,3,6,4,5] => [2,1,3,6,4,5] => [2,1,3,6,4,5] => 10001
[2,1,3,6,5,4] => [2,1,3,5,6,4] => [2,1,3,6,5,4] => 10011
[2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => 10100
[2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 10101
[2,1,4,5,3,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => 10010
[2,1,4,5,6,3] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => 10001
[2,1,4,6,3,5] => [2,1,6,4,3,5] => [2,1,4,6,3,5] => 10001
[2,1,4,6,5,3] => [2,1,5,4,6,3] => [2,1,4,6,5,3] => 10011
[2,1,5,3,4,6] => [2,1,5,3,4,6] => [2,1,5,3,4,6] => 10010
[2,1,5,3,6,4] => [2,1,5,6,3,4] => [2,1,6,3,5,4] => 10011
[2,1,5,4,3,6] => [2,1,4,5,3,6] => [2,1,5,4,3,6] => 10110
[2,1,5,4,6,3] => [2,1,6,5,4,3] => [2,1,5,4,6,3] => 10011
[2,1,5,6,3,4] => [2,1,6,3,5,4] => [2,1,5,6,3,4] => 10001
[2,1,5,6,4,3] => [2,1,4,6,5,3] => [2,1,5,6,4,3] => 10101
[2,1,6,3,4,5] => [2,1,6,3,4,5] => [2,1,6,3,4,5] => 10001
[2,1,6,3,5,4] => [2,1,6,5,3,4] => [2,1,5,3,6,4] => 10011
[2,1,6,4,3,5] => [2,1,4,6,3,5] => [2,1,6,4,3,5] => 10101
[2,1,6,4,5,3] => [2,1,5,6,4,3] => [2,1,6,4,5,3] => 10011
[2,1,6,5,3,4] => [2,1,5,3,6,4] => [2,1,6,5,3,4] => 10011
[2,1,6,5,4,3] => [2,1,4,5,6,3] => [2,1,6,5,4,3] => 10111
[2,3,1,4,5,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => 01000
[2,3,1,4,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => 01001
[2,3,1,5,4,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => 01010
[2,3,1,5,6,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => 01001
[2,3,1,6,4,5] => [3,2,1,6,4,5] => [2,3,1,6,4,5] => 01001
[2,3,1,6,5,4] => [3,2,1,5,6,4] => [2,3,1,6,5,4] => 01011
[2,3,4,1,5,6] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => 00100
[2,3,4,1,6,5] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => 00101
[2,3,4,5,1,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => 00010
[2,3,4,5,6,1] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => 00001
[2,3,4,6,1,5] => [6,2,3,4,1,5] => [2,3,4,6,1,5] => 00001
[2,3,4,6,5,1] => [5,2,3,4,6,1] => [2,3,4,6,5,1] => 00011
[2,3,5,1,4,6] => [5,2,3,1,4,6] => [2,3,5,1,4,6] => 00010
[2,3,5,1,6,4] => [5,2,3,6,1,4] => [2,3,6,1,5,4] => 00011
[2,3,5,4,1,6] => [4,2,3,5,1,6] => [2,3,5,4,1,6] => 00110
[2,3,5,4,6,1] => [6,2,3,5,4,1] => [2,3,5,4,6,1] => 00011
[2,3,5,6,1,4] => [6,2,3,1,5,4] => [2,3,5,6,1,4] => 00001
[2,3,5,6,4,1] => [4,2,3,6,5,1] => [2,3,5,6,4,1] => 00101
[2,3,6,1,4,5] => [6,2,3,1,4,5] => [2,3,6,1,4,5] => 00001
[2,3,6,1,5,4] => [6,2,3,5,1,4] => [2,3,5,1,6,4] => 00011
[2,3,6,4,1,5] => [4,2,3,6,1,5] => [2,3,6,4,1,5] => 00101
[2,3,6,4,5,1] => [5,2,3,6,4,1] => [2,3,6,4,5,1] => 00011
[2,3,6,5,1,4] => [5,2,3,1,6,4] => [2,3,6,5,1,4] => 00011
[2,3,6,5,4,1] => [4,2,3,5,6,1] => [2,3,6,5,4,1] => 00111
[2,4,1,3,5,6] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => 00100
[2,4,1,3,6,5] => [4,2,1,3,6,5] => [2,4,1,3,6,5] => 00101
[2,4,1,5,3,6] => [4,2,5,1,3,6] => [2,5,1,4,3,6] => 00110
[2,4,1,5,6,3] => [4,2,6,1,5,3] => [2,5,6,1,4,3] => 00101
[2,4,1,6,3,5] => [4,2,6,1,3,5] => [2,6,1,4,3,5] => 00101
[2,4,1,6,5,3] => [4,2,5,1,6,3] => [2,6,5,1,4,3] => 00111
[2,4,3,1,5,6] => [3,2,4,1,5,6] => [2,4,3,1,5,6] => 01100
[2,4,3,1,6,5] => [3,2,4,1,6,5] => [2,4,3,1,6,5] => 01101
[2,4,3,5,1,6] => [5,2,4,3,1,6] => [2,4,3,5,1,6] => 00110
[2,4,3,5,6,1] => [6,2,4,3,5,1] => [2,4,3,5,6,1] => 00101
[2,4,3,6,1,5] => [6,2,4,3,1,5] => [2,4,3,6,1,5] => 00101
[2,4,3,6,5,1] => [5,2,4,3,6,1] => [2,4,3,6,5,1] => 00111
[2,4,5,1,3,6] => [5,2,1,4,3,6] => [2,4,5,1,3,6] => 00010
[2,4,5,1,6,3] => [5,2,6,4,1,3] => [2,4,6,1,5,3] => 00011
[2,4,5,3,1,6] => [3,2,5,4,1,6] => [2,4,5,3,1,6] => 01010
[2,4,5,3,6,1] => [6,2,5,4,3,1] => [2,4,5,3,6,1] => 00011
[2,4,5,6,1,3] => [6,2,1,4,5,3] => [2,4,5,6,1,3] => 00001
[2,4,5,6,3,1] => [3,2,6,4,5,1] => [2,4,5,6,3,1] => 01001
[2,4,6,1,3,5] => [6,2,1,4,3,5] => [2,4,6,1,3,5] => 00001
[2,4,6,1,5,3] => [6,2,5,4,1,3] => [2,4,5,1,6,3] => 00011
[2,4,6,3,1,5] => [3,2,6,4,1,5] => [2,4,6,3,1,5] => 01001
[2,4,6,3,5,1] => [5,2,6,4,3,1] => [2,4,6,3,5,1] => 00011
[2,4,6,5,1,3] => [5,2,1,4,6,3] => [2,4,6,5,1,3] => 00011
[2,4,6,5,3,1] => [3,2,5,4,6,1] => [2,4,6,5,3,1] => 01011
[2,5,1,3,4,6] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => 00010
[2,5,1,3,6,4] => [5,2,1,6,3,4] => [2,6,1,3,5,4] => 00011
[2,5,1,4,3,6] => [5,2,4,1,3,6] => [2,4,1,5,3,6] => 00110
[2,5,1,4,6,3] => [5,2,6,1,4,3] => [2,6,1,4,5,3] => 00011
[2,5,1,6,3,4] => [5,2,6,3,1,4] => [2,6,3,5,1,4] => 00011
[2,5,1,6,4,3] => [5,2,4,6,1,3] => [2,6,4,1,5,3] => 00111
[2,5,3,1,4,6] => [3,2,5,1,4,6] => [2,5,3,1,4,6] => 01010
[2,5,3,1,6,4] => [3,2,5,6,1,4] => [2,6,3,1,5,4] => 01011
[2,5,3,4,1,6] => [4,2,5,3,1,6] => [2,5,3,4,1,6] => 00110
[2,5,3,4,6,1] => [6,2,5,3,4,1] => [2,5,3,4,6,1] => 00011
[2,5,3,6,1,4] => [6,2,5,1,3,4] => [2,5,1,6,3,4] => 00011
[2,5,3,6,4,1] => [4,2,6,5,1,3] => [2,5,1,6,4,3] => 00111
[2,5,4,1,3,6] => [4,2,1,5,3,6] => [2,5,4,1,3,6] => 00110
[2,5,4,1,6,3] => [4,2,5,6,3,1] => [2,6,3,5,4,1] => 00111
[2,5,4,3,1,6] => [3,2,4,5,1,6] => [2,5,4,3,1,6] => 01110
[2,5,4,3,6,1] => [6,2,4,5,3,1] => [2,5,4,3,6,1] => 00111
[2,5,4,6,1,3] => [6,2,1,5,4,3] => [2,5,4,6,1,3] => 00011
[2,5,4,6,3,1] => [3,2,6,5,4,1] => [2,5,4,6,3,1] => 01011
[2,5,6,1,3,4] => [6,2,1,3,5,4] => [2,5,6,1,3,4] => 00001
[2,5,6,1,4,3] => [6,2,4,1,5,3] => [2,4,1,5,6,3] => 00101
[2,5,6,3,1,4] => [3,2,6,1,5,4] => [2,5,6,3,1,4] => 01001
[2,5,6,3,4,1] => [4,2,6,3,5,1] => [2,5,6,3,4,1] => 00101
[2,5,6,4,1,3] => [4,2,1,6,5,3] => [2,5,6,4,1,3] => 00101
[2,5,6,4,3,1] => [3,2,4,6,5,1] => [2,5,6,4,3,1] => 01101
[2,6,1,3,4,5] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => 00001
[2,6,1,3,5,4] => [6,2,1,5,3,4] => [2,5,1,3,6,4] => 00011
[2,6,1,4,3,5] => [6,2,4,1,3,5] => [2,4,1,6,3,5] => 00101
[2,6,1,4,5,3] => [6,2,5,1,4,3] => [2,5,1,4,6,3] => 00011
[2,6,1,5,3,4] => [6,2,5,3,1,4] => [2,5,3,6,1,4] => 00011
[2,6,1,5,4,3] => [6,2,4,5,1,3] => [2,5,4,1,6,3] => 00111
[2,6,3,1,4,5] => [3,2,6,1,4,5] => [2,6,3,1,4,5] => 01001
[2,6,3,1,5,4] => [3,2,6,5,1,4] => [2,5,3,1,6,4] => 01011
[2,6,3,4,1,5] => [4,2,6,3,1,5] => [2,6,3,4,1,5] => 00101
[2,6,3,4,5,1] => [5,2,6,3,4,1] => [2,6,3,4,5,1] => 00011
[2,6,3,5,1,4] => [5,2,6,1,3,4] => [2,6,1,5,3,4] => 00011
[2,6,3,5,4,1] => [4,2,5,6,1,3] => [2,6,1,5,4,3] => 00111
[2,6,4,1,3,5] => [4,2,1,6,3,5] => [2,6,4,1,3,5] => 00101
[2,6,4,1,5,3] => [4,2,6,5,3,1] => [2,5,3,6,4,1] => 00111
[2,6,4,3,1,5] => [3,2,4,6,1,5] => [2,6,4,3,1,5] => 01101
[2,6,4,3,5,1] => [5,2,4,6,3,1] => [2,6,4,3,5,1] => 00111
[2,6,4,5,1,3] => [5,2,1,6,4,3] => [2,6,4,5,1,3] => 00011
[2,6,4,5,3,1] => [3,2,5,6,4,1] => [2,6,4,5,3,1] => 01011
[2,6,5,1,3,4] => [5,2,1,3,6,4] => [2,6,5,1,3,4] => 00011
[2,6,5,1,4,3] => [5,2,4,1,6,3] => [2,4,1,6,5,3] => 00111
[2,6,5,3,1,4] => [3,2,5,1,6,4] => [2,6,5,3,1,4] => 01011
[2,6,5,3,4,1] => [4,2,5,3,6,1] => [2,6,5,3,4,1] => 00111
[2,6,5,4,1,3] => [4,2,1,5,6,3] => [2,6,5,4,1,3] => 00111
[2,6,5,4,3,1] => [3,2,4,5,6,1] => [2,6,5,4,3,1] => 01111
[3,1,2,4,5,6] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => 01000
[3,1,2,4,6,5] => [3,1,2,4,6,5] => [3,1,2,4,6,5] => 01001
[3,1,2,5,4,6] => [3,1,2,5,4,6] => [3,1,2,5,4,6] => 01010
[3,1,2,5,6,4] => [3,1,2,6,5,4] => [3,1,2,5,6,4] => 01001
[3,1,2,6,4,5] => [3,1,2,6,4,5] => [3,1,2,6,4,5] => 01001
[3,1,2,6,5,4] => [3,1,2,5,6,4] => [3,1,2,6,5,4] => 01011
[3,1,4,2,5,6] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => 01100
[3,1,4,2,6,5] => [3,4,1,2,6,5] => [4,1,3,2,6,5] => 01101
[3,1,4,5,2,6] => [3,5,1,4,2,6] => [4,5,1,3,2,6] => 01010
[3,1,4,5,6,2] => [3,6,1,4,5,2] => [4,5,6,1,3,2] => 01001
[3,1,4,6,2,5] => [3,6,1,4,2,5] => [4,6,1,3,2,5] => 01001
[3,1,4,6,5,2] => [3,5,1,4,6,2] => [4,6,5,1,3,2] => 01011
[3,1,5,2,4,6] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => 01010
[3,1,5,2,6,4] => [3,5,1,6,2,4] => [6,1,3,2,5,4] => 01011
[3,1,5,4,2,6] => [3,4,1,5,2,6] => [5,4,1,3,2,6] => 01110
[3,1,5,4,6,2] => [3,6,1,5,4,2] => [5,4,6,1,3,2] => 01011
[3,1,5,6,2,4] => [3,6,1,2,5,4] => [5,6,1,3,2,4] => 01001
[3,1,5,6,4,2] => [3,4,1,6,5,2] => [5,6,4,1,3,2] => 01101
[3,1,6,2,4,5] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => 01001
[3,1,6,2,5,4] => [3,6,1,5,2,4] => [5,1,3,2,6,4] => 01011
[3,1,6,4,2,5] => [3,4,1,6,2,5] => [6,4,1,3,2,5] => 01101
[3,1,6,4,5,2] => [3,5,1,6,4,2] => [6,4,5,1,3,2] => 01011
[3,1,6,5,2,4] => [3,5,1,2,6,4] => [6,5,1,3,2,4] => 01011
[3,1,6,5,4,2] => [3,4,1,5,6,2] => [6,5,4,1,3,2] => 01111
[3,2,1,4,5,6] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => 11000
[3,2,1,4,6,5] => [2,3,1,4,6,5] => [3,2,1,4,6,5] => 11001
[3,2,1,5,4,6] => [2,3,1,5,4,6] => [3,2,1,5,4,6] => 11010
[3,2,1,5,6,4] => [2,3,1,6,5,4] => [3,2,1,5,6,4] => 11001
[3,2,1,6,4,5] => [2,3,1,6,4,5] => [3,2,1,6,4,5] => 11001
[3,2,1,6,5,4] => [2,3,1,5,6,4] => [3,2,1,6,5,4] => 11011
[3,2,4,1,5,6] => [4,3,2,1,5,6] => [3,2,4,1,5,6] => 01100
[3,2,4,1,6,5] => [4,3,2,1,6,5] => [3,2,4,1,6,5] => 01101
[3,2,4,5,1,6] => [5,3,2,4,1,6] => [3,2,4,5,1,6] => 01010
[3,2,4,5,6,1] => [6,3,2,4,5,1] => [3,2,4,5,6,1] => 01001
[3,2,4,6,1,5] => [6,3,2,4,1,5] => [3,2,4,6,1,5] => 01001
[3,2,4,6,5,1] => [5,3,2,4,6,1] => [3,2,4,6,5,1] => 01011
[3,2,5,1,4,6] => [5,3,2,1,4,6] => [3,2,5,1,4,6] => 01010
[3,2,5,1,6,4] => [5,3,2,6,1,4] => [3,2,6,1,5,4] => 01011
[3,2,5,4,1,6] => [4,3,2,5,1,6] => [3,2,5,4,1,6] => 01110
[3,2,5,4,6,1] => [6,3,2,5,4,1] => [3,2,5,4,6,1] => 01011
[3,2,5,6,1,4] => [6,3,2,1,5,4] => [3,2,5,6,1,4] => 01001
[3,2,5,6,4,1] => [4,3,2,6,5,1] => [3,2,5,6,4,1] => 01101
[3,2,6,1,4,5] => [6,3,2,1,4,5] => [3,2,6,1,4,5] => 01001
[3,2,6,1,5,4] => [6,3,2,5,1,4] => [3,2,5,1,6,4] => 01011
[3,2,6,4,1,5] => [4,3,2,6,1,5] => [3,2,6,4,1,5] => 01101
[3,2,6,4,5,1] => [5,3,2,6,4,1] => [3,2,6,4,5,1] => 01011
[3,2,6,5,1,4] => [5,3,2,1,6,4] => [3,2,6,5,1,4] => 01011
[3,2,6,5,4,1] => [4,3,2,5,6,1] => [3,2,6,5,4,1] => 01111
[3,4,1,2,5,6] => [4,1,3,2,5,6] => [3,4,1,2,5,6] => 00100
[3,4,1,2,6,5] => [4,1,3,2,6,5] => [3,4,1,2,6,5] => 00101
[3,4,1,5,2,6] => [4,5,3,1,2,6] => [3,5,1,4,2,6] => 00110
[3,4,1,5,6,2] => [4,6,3,1,5,2] => [3,5,6,1,4,2] => 00101
[3,4,1,6,2,5] => [4,6,3,1,2,5] => [3,6,1,4,2,5] => 00101
[3,4,1,6,5,2] => [4,5,3,1,6,2] => [3,6,5,1,4,2] => 00111
[3,4,2,1,5,6] => [2,4,3,1,5,6] => [3,4,2,1,5,6] => 10100
[3,4,2,1,6,5] => [2,4,3,1,6,5] => [3,4,2,1,6,5] => 10101
[3,4,2,5,1,6] => [5,4,3,2,1,6] => [3,4,2,5,1,6] => 00110
[3,4,2,5,6,1] => [6,4,3,2,5,1] => [3,4,2,5,6,1] => 00101
[3,4,2,6,1,5] => [6,4,3,2,1,5] => [3,4,2,6,1,5] => 00101
[3,4,2,6,5,1] => [5,4,3,2,6,1] => [3,4,2,6,5,1] => 00111
[3,4,5,1,2,6] => [5,1,3,4,2,6] => [3,4,5,1,2,6] => 00010
[3,4,5,1,6,2] => [5,6,3,4,1,2] => [3,4,6,1,5,2] => 00011
[3,4,5,2,1,6] => [2,5,3,4,1,6] => [3,4,5,2,1,6] => 10010
[3,4,5,2,6,1] => [6,5,3,4,2,1] => [3,4,5,2,6,1] => 00011
[3,4,5,6,1,2] => [6,1,3,4,5,2] => [3,4,5,6,1,2] => 00001
[3,4,5,6,2,1] => [2,6,3,4,5,1] => [3,4,5,6,2,1] => 10001
[3,4,6,1,2,5] => [6,1,3,4,2,5] => [3,4,6,1,2,5] => 00001
[3,4,6,1,5,2] => [6,5,3,4,1,2] => [3,4,5,1,6,2] => 00011
[3,4,6,2,1,5] => [2,6,3,4,1,5] => [3,4,6,2,1,5] => 10001
[3,4,6,2,5,1] => [5,6,3,4,2,1] => [3,4,6,2,5,1] => 00011
[3,4,6,5,1,2] => [5,1,3,4,6,2] => [3,4,6,5,1,2] => 00011
[3,4,6,5,2,1] => [2,5,3,4,6,1] => [3,4,6,5,2,1] => 10011
[3,5,1,2,4,6] => [5,1,3,2,4,6] => [3,5,1,2,4,6] => 00010
[3,5,1,2,6,4] => [5,1,3,6,2,4] => [3,6,1,2,5,4] => 00011
[3,5,1,4,2,6] => [5,4,3,1,2,6] => [3,4,1,5,2,6] => 00110
[3,5,1,4,6,2] => [5,6,3,1,4,2] => [3,6,1,4,5,2] => 00011
[3,5,1,6,2,4] => [5,6,3,2,1,4] => [3,6,2,5,1,4] => 00011
[3,5,1,6,4,2] => [5,4,3,6,1,2] => [3,6,4,1,5,2] => 00111
[3,5,2,1,4,6] => [2,5,3,1,4,6] => [3,5,2,1,4,6] => 10010
[3,5,2,1,6,4] => [2,5,3,6,1,4] => [3,6,2,1,5,4] => 10011
[3,5,2,4,1,6] => [4,5,3,2,1,6] => [3,5,2,4,1,6] => 00110
[3,5,2,4,6,1] => [6,5,3,2,4,1] => [3,5,2,4,6,1] => 00011
[3,5,2,6,1,4] => [6,5,3,1,2,4] => [3,5,1,6,2,4] => 00011
[3,5,2,6,4,1] => [4,6,3,5,1,2] => [3,5,1,6,4,2] => 00111
[3,5,4,1,2,6] => [4,1,3,5,2,6] => [3,5,4,1,2,6] => 00110
[3,5,4,1,6,2] => [4,5,3,6,2,1] => [3,6,2,5,4,1] => 00111
[3,5,4,2,1,6] => [2,4,3,5,1,6] => [3,5,4,2,1,6] => 10110
[3,5,4,2,6,1] => [6,4,3,5,2,1] => [3,5,4,2,6,1] => 00111
[3,5,4,6,1,2] => [6,1,3,5,4,2] => [3,5,4,6,1,2] => 00011
[3,5,4,6,2,1] => [2,6,3,5,4,1] => [3,5,4,6,2,1] => 10011
[3,5,6,1,2,4] => [6,1,3,2,5,4] => [3,5,6,1,2,4] => 00001
[3,5,6,1,4,2] => [6,4,3,1,5,2] => [3,4,1,5,6,2] => 00101
[3,5,6,2,1,4] => [2,6,3,1,5,4] => [3,5,6,2,1,4] => 10001
[3,5,6,2,4,1] => [4,6,3,2,5,1] => [3,5,6,2,4,1] => 00101
[3,5,6,4,1,2] => [4,1,3,6,5,2] => [3,5,6,4,1,2] => 00101
[3,5,6,4,2,1] => [2,4,3,6,5,1] => [3,5,6,4,2,1] => 10101
[3,6,1,2,4,5] => [6,1,3,2,4,5] => [3,6,1,2,4,5] => 00001
[3,6,1,2,5,4] => [6,1,3,5,2,4] => [3,5,1,2,6,4] => 00011
[3,6,1,4,2,5] => [6,4,3,1,2,5] => [3,4,1,6,2,5] => 00101
[3,6,1,4,5,2] => [6,5,3,1,4,2] => [3,5,1,4,6,2] => 00011
[3,6,1,5,2,4] => [6,5,3,2,1,4] => [3,5,2,6,1,4] => 00011
[3,6,1,5,4,2] => [6,4,3,5,1,2] => [3,5,4,1,6,2] => 00111
[3,6,2,1,4,5] => [2,6,3,1,4,5] => [3,6,2,1,4,5] => 10001
[3,6,2,1,5,4] => [2,6,3,5,1,4] => [3,5,2,1,6,4] => 10011
[3,6,2,4,1,5] => [4,6,3,2,1,5] => [3,6,2,4,1,5] => 00101
[3,6,2,4,5,1] => [5,6,3,2,4,1] => [3,6,2,4,5,1] => 00011
[3,6,2,5,1,4] => [5,6,3,1,2,4] => [3,6,1,5,2,4] => 00011
[3,6,2,5,4,1] => [4,5,3,6,1,2] => [3,6,1,5,4,2] => 00111
[3,6,4,1,2,5] => [4,1,3,6,2,5] => [3,6,4,1,2,5] => 00101
[3,6,4,1,5,2] => [4,6,3,5,2,1] => [3,5,2,6,4,1] => 00111
[3,6,4,2,1,5] => [2,4,3,6,1,5] => [3,6,4,2,1,5] => 10101
[3,6,4,2,5,1] => [5,4,3,6,2,1] => [3,6,4,2,5,1] => 00111
[3,6,4,5,1,2] => [5,1,3,6,4,2] => [3,6,4,5,1,2] => 00011
[3,6,4,5,2,1] => [2,5,3,6,4,1] => [3,6,4,5,2,1] => 10011
[3,6,5,1,2,4] => [5,1,3,2,6,4] => [3,6,5,1,2,4] => 00011
[3,6,5,1,4,2] => [5,4,3,1,6,2] => [3,4,1,6,5,2] => 00111
[3,6,5,2,1,4] => [2,5,3,1,6,4] => [3,6,5,2,1,4] => 10011
[3,6,5,2,4,1] => [4,5,3,2,6,1] => [3,6,5,2,4,1] => 00111
[3,6,5,4,1,2] => [4,1,3,5,6,2] => [3,6,5,4,1,2] => 00111
[3,6,5,4,2,1] => [2,4,3,5,6,1] => [3,6,5,4,2,1] => 10111
[4,1,2,3,5,6] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => 00100
[4,1,2,3,6,5] => [4,1,2,3,6,5] => [4,1,2,3,6,5] => 00101
[4,1,2,5,3,6] => [4,1,5,2,3,6] => [5,1,2,4,3,6] => 00110
[4,1,2,5,6,3] => [4,1,6,2,5,3] => [5,6,1,2,4,3] => 00101
[4,1,2,6,3,5] => [4,1,6,2,3,5] => [6,1,2,4,3,5] => 00101
[4,1,2,6,5,3] => [4,1,5,2,6,3] => [6,5,1,2,4,3] => 00111
[4,1,3,2,5,6] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => 01100
[4,1,3,2,6,5] => [4,3,1,2,6,5] => [3,1,4,2,6,5] => 01101
[4,1,3,5,2,6] => [4,5,1,3,2,6] => [5,1,3,4,2,6] => 00110
[4,1,3,5,6,2] => [4,6,1,3,5,2] => [5,6,1,3,4,2] => 00101
[4,1,3,6,2,5] => [4,6,1,3,2,5] => [6,1,3,4,2,5] => 00101
[4,1,3,6,5,2] => [4,5,1,3,6,2] => [6,5,1,3,4,2] => 00111
[4,1,5,2,3,6] => [4,5,2,1,3,6] => [5,2,4,1,3,6] => 00110
[4,1,5,2,6,3] => [4,5,6,1,2,3] => [6,1,5,2,4,3] => 00111
[4,1,5,3,2,6] => [4,3,5,1,2,6] => [5,3,1,4,2,6] => 01110
[4,1,5,3,6,2] => [4,6,5,1,3,2] => [5,1,6,3,4,2] => 00111
[4,1,5,6,2,3] => [4,6,2,1,5,3] => [5,6,2,4,1,3] => 00101
[4,1,5,6,3,2] => [4,3,6,1,5,2] => [5,6,3,1,4,2] => 01101
[4,1,6,2,3,5] => [4,6,2,1,3,5] => [6,2,4,1,3,5] => 00101
[4,1,6,2,5,3] => [4,6,5,1,2,3] => [5,1,6,2,4,3] => 00111
[4,1,6,3,2,5] => [4,3,6,1,2,5] => [6,3,1,4,2,5] => 01101
[4,1,6,3,5,2] => [4,5,6,1,3,2] => [6,1,5,3,4,2] => 00111
[4,1,6,5,2,3] => [4,5,2,1,6,3] => [6,5,2,4,1,3] => 00111
[4,1,6,5,3,2] => [4,3,5,1,6,2] => [6,5,3,1,4,2] => 01111
[4,2,1,3,5,6] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => 10100
[4,2,1,3,6,5] => [2,4,1,3,6,5] => [4,2,1,3,6,5] => 10101
[4,2,1,5,3,6] => [2,4,5,1,3,6] => [5,2,1,4,3,6] => 10110
[4,2,1,5,6,3] => [2,4,6,1,5,3] => [5,6,2,1,4,3] => 10101
[4,2,1,6,3,5] => [2,4,6,1,3,5] => [6,2,1,4,3,5] => 10101
[4,2,1,6,5,3] => [2,4,5,1,6,3] => [6,5,2,1,4,3] => 10111
[4,2,3,1,5,6] => [3,4,2,1,5,6] => [4,2,3,1,5,6] => 01100
[4,2,3,1,6,5] => [3,4,2,1,6,5] => [4,2,3,1,6,5] => 01101
[4,2,3,5,1,6] => [5,4,2,3,1,6] => [4,2,3,5,1,6] => 00110
[4,2,3,5,6,1] => [6,4,2,3,5,1] => [4,2,3,5,6,1] => 00101
[4,2,3,6,1,5] => [6,4,2,3,1,5] => [4,2,3,6,1,5] => 00101
[4,2,3,6,5,1] => [5,4,2,3,6,1] => [4,2,3,6,5,1] => 00111
[4,2,5,1,3,6] => [5,4,1,2,3,6] => [4,1,5,2,3,6] => 00110
[4,2,5,1,6,3] => [5,4,6,2,1,3] => [6,2,4,1,5,3] => 00111
[4,2,5,3,1,6] => [3,5,4,1,2,6] => [4,1,5,3,2,6] => 01110
[4,2,5,3,6,1] => [6,4,5,2,3,1] => [5,2,4,3,6,1] => 00111
[4,2,5,6,1,3] => [6,4,1,2,5,3] => [4,1,5,6,2,3] => 00101
[4,2,5,6,3,1] => [3,6,4,1,5,2] => [4,1,5,6,3,2] => 01101
[4,2,6,1,3,5] => [6,4,1,2,3,5] => [4,1,6,2,3,5] => 00101
[4,2,6,1,5,3] => [6,4,5,2,1,3] => [5,2,4,1,6,3] => 00111
[4,2,6,3,1,5] => [3,6,4,1,2,5] => [4,1,6,3,2,5] => 01101
[4,2,6,3,5,1] => [5,4,6,2,3,1] => [6,2,4,3,5,1] => 00111
[4,2,6,5,1,3] => [5,4,1,2,6,3] => [4,1,6,5,2,3] => 00111
[4,2,6,5,3,1] => [3,5,4,1,6,2] => [4,1,6,5,3,2] => 01111
[4,3,1,2,5,6] => [3,1,4,2,5,6] => [4,3,1,2,5,6] => 01100
[4,3,1,2,6,5] => [3,1,4,2,6,5] => [4,3,1,2,6,5] => 01101
[4,3,1,5,2,6] => [3,4,5,2,1,6] => [5,2,4,3,1,6] => 01110
[4,3,1,5,6,2] => [3,4,6,2,5,1] => [5,6,2,4,3,1] => 01101
[4,3,1,6,2,5] => [3,4,6,2,1,5] => [6,2,4,3,1,5] => 01101
[4,3,1,6,5,2] => [3,4,5,2,6,1] => [6,5,2,4,3,1] => 01111
[4,3,2,1,5,6] => [2,3,4,1,5,6] => [4,3,2,1,5,6] => 11100
[4,3,2,1,6,5] => [2,3,4,1,6,5] => [4,3,2,1,6,5] => 11101
[4,3,2,5,1,6] => [5,3,4,2,1,6] => [4,3,2,5,1,6] => 01110
[4,3,2,5,6,1] => [6,3,4,2,5,1] => [4,3,2,5,6,1] => 01101
[4,3,2,6,1,5] => [6,3,4,2,1,5] => [4,3,2,6,1,5] => 01101
[4,3,2,6,5,1] => [5,3,4,2,6,1] => [4,3,2,6,5,1] => 01111
[4,3,5,1,2,6] => [5,1,4,3,2,6] => [4,3,5,1,2,6] => 00110
[4,3,5,1,6,2] => [5,6,4,3,1,2] => [4,3,6,1,5,2] => 00111
[4,3,5,2,1,6] => [2,5,4,3,1,6] => [4,3,5,2,1,6] => 10110
[4,3,5,2,6,1] => [6,5,4,3,2,1] => [4,3,5,2,6,1] => 00111
[4,3,5,6,1,2] => [6,1,4,3,5,2] => [4,3,5,6,1,2] => 00101
[4,3,5,6,2,1] => [2,6,4,3,5,1] => [4,3,5,6,2,1] => 10101
[4,3,6,1,2,5] => [6,1,4,3,2,5] => [4,3,6,1,2,5] => 00101
[4,3,6,1,5,2] => [6,5,4,3,1,2] => [4,3,5,1,6,2] => 00111
[4,3,6,2,1,5] => [2,6,4,3,1,5] => [4,3,6,2,1,5] => 10101
[4,3,6,2,5,1] => [5,6,4,3,2,1] => [4,3,6,2,5,1] => 00111
[4,3,6,5,1,2] => [5,1,4,3,6,2] => [4,3,6,5,1,2] => 00111
[4,3,6,5,2,1] => [2,5,4,3,6,1] => [4,3,6,5,2,1] => 10111
[4,5,1,2,3,6] => [5,1,2,4,3,6] => [4,5,1,2,3,6] => 00010
[4,5,1,2,6,3] => [5,1,6,4,2,3] => [4,6,1,2,5,3] => 00011
[4,5,1,3,2,6] => [5,3,1,4,2,6] => [3,1,4,5,2,6] => 01010
[4,5,1,3,6,2] => [5,6,1,4,3,2] => [4,6,1,3,5,2] => 00011
[4,5,1,6,2,3] => [5,6,2,4,1,3] => [4,6,2,5,1,3] => 00011
[4,5,1,6,3,2] => [5,3,6,4,1,2] => [4,6,3,1,5,2] => 01011
[4,5,2,1,3,6] => [2,5,1,4,3,6] => [4,5,2,1,3,6] => 10010
[4,5,2,1,6,3] => [2,5,6,4,1,3] => [4,6,2,1,5,3] => 10011
[4,5,2,3,1,6] => [3,5,2,4,1,6] => [4,5,2,3,1,6] => 01010
[4,5,2,3,6,1] => [6,5,2,4,3,1] => [4,5,2,3,6,1] => 00011
[4,5,2,6,1,3] => [6,5,1,4,2,3] => [4,5,1,6,2,3] => 00011
[4,5,2,6,3,1] => [3,6,5,4,1,2] => [4,5,1,6,3,2] => 01011
[4,5,3,1,2,6] => [3,1,5,4,2,6] => [4,5,3,1,2,6] => 01010
[4,5,3,1,6,2] => [3,5,6,4,2,1] => [4,6,2,5,3,1] => 01011
[4,5,3,2,1,6] => [2,3,5,4,1,6] => [4,5,3,2,1,6] => 11010
[4,5,3,2,6,1] => [6,3,5,4,2,1] => [4,5,3,2,6,1] => 01011
[4,5,3,6,1,2] => [6,1,5,4,3,2] => [4,5,3,6,1,2] => 00011
[4,5,3,6,2,1] => [2,6,5,4,3,1] => [4,5,3,6,2,1] => 10011
[4,5,6,1,2,3] => [6,1,2,4,5,3] => [4,5,6,1,2,3] => 00001
[4,5,6,1,3,2] => [6,3,1,4,5,2] => [3,1,4,5,6,2] => 01001
[4,5,6,2,1,3] => [2,6,1,4,5,3] => [4,5,6,2,1,3] => 10001
[4,5,6,2,3,1] => [3,6,2,4,5,1] => [4,5,6,2,3,1] => 01001
[4,5,6,3,1,2] => [3,1,6,4,5,2] => [4,5,6,3,1,2] => 01001
[4,5,6,3,2,1] => [2,3,6,4,5,1] => [4,5,6,3,2,1] => 11001
[4,6,1,2,3,5] => [6,1,2,4,3,5] => [4,6,1,2,3,5] => 00001
[4,6,1,2,5,3] => [6,1,5,4,2,3] => [4,5,1,2,6,3] => 00011
[4,6,1,3,2,5] => [6,3,1,4,2,5] => [3,1,4,6,2,5] => 01001
[4,6,1,3,5,2] => [6,5,1,4,3,2] => [4,5,1,3,6,2] => 00011
[4,6,1,5,2,3] => [6,5,2,4,1,3] => [4,5,2,6,1,3] => 00011
[4,6,1,5,3,2] => [6,3,5,4,1,2] => [4,5,3,1,6,2] => 01011
[4,6,2,1,3,5] => [2,6,1,4,3,5] => [4,6,2,1,3,5] => 10001
[4,6,2,1,5,3] => [2,6,5,4,1,3] => [4,5,2,1,6,3] => 10011
[4,6,2,3,1,5] => [3,6,2,4,1,5] => [4,6,2,3,1,5] => 01001
[4,6,2,3,5,1] => [5,6,2,4,3,1] => [4,6,2,3,5,1] => 00011
[4,6,2,5,1,3] => [5,6,1,4,2,3] => [4,6,1,5,2,3] => 00011
[4,6,2,5,3,1] => [3,5,6,4,1,2] => [4,6,1,5,3,2] => 01011
[4,6,3,1,2,5] => [3,1,6,4,2,5] => [4,6,3,1,2,5] => 01001
[4,6,3,1,5,2] => [3,6,5,4,2,1] => [4,5,2,6,3,1] => 01011
[4,6,3,2,1,5] => [2,3,6,4,1,5] => [4,6,3,2,1,5] => 11001
[4,6,3,2,5,1] => [5,3,6,4,2,1] => [4,6,3,2,5,1] => 01011
[4,6,3,5,1,2] => [5,1,6,4,3,2] => [4,6,3,5,1,2] => 00011
[4,6,3,5,2,1] => [2,5,6,4,3,1] => [4,6,3,5,2,1] => 10011
[4,6,5,1,2,3] => [5,1,2,4,6,3] => [4,6,5,1,2,3] => 00011
[4,6,5,1,3,2] => [5,3,1,4,6,2] => [3,1,4,6,5,2] => 01011
[4,6,5,2,1,3] => [2,5,1,4,6,3] => [4,6,5,2,1,3] => 10011
[4,6,5,2,3,1] => [3,5,2,4,6,1] => [4,6,5,2,3,1] => 01011
[4,6,5,3,1,2] => [3,1,5,4,6,2] => [4,6,5,3,1,2] => 01011
[4,6,5,3,2,1] => [2,3,5,4,6,1] => [4,6,5,3,2,1] => 11011
[5,1,2,3,4,6] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => 00010
[5,1,2,3,6,4] => [5,1,2,6,3,4] => [6,1,2,3,5,4] => 00011
[5,1,2,4,3,6] => [5,1,4,2,3,6] => [4,1,2,5,3,6] => 00110
[5,1,2,4,6,3] => [5,1,6,2,4,3] => [6,1,2,4,5,3] => 00011
[5,1,2,6,3,4] => [5,1,6,3,2,4] => [6,3,5,1,2,4] => 00011
[5,1,2,6,4,3] => [5,1,4,6,2,3] => [6,4,1,2,5,3] => 00111
[5,1,3,2,4,6] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => 01010
[5,1,3,2,6,4] => [5,3,1,6,2,4] => [3,1,6,2,5,4] => 01011
[5,1,3,4,2,6] => [5,4,1,3,2,6] => [4,1,3,5,2,6] => 00110
[5,1,3,4,6,2] => [5,6,1,3,4,2] => [6,1,3,4,5,2] => 00011
[5,1,3,6,2,4] => [5,6,1,2,3,4] => [6,1,5,2,3,4] => 00011
[5,1,3,6,4,2] => [5,4,1,6,3,2] => [6,4,1,3,5,2] => 00111
[5,1,4,2,3,6] => [5,4,2,1,3,6] => [4,2,5,1,3,6] => 00110
[5,1,4,2,6,3] => [5,4,6,1,2,3] => [6,1,4,2,5,3] => 00111
[5,1,4,3,2,6] => [5,3,4,1,2,6] => [4,3,1,5,2,6] => 01110
[5,1,4,3,6,2] => [5,6,4,1,3,2] => [4,1,6,3,5,2] => 00111
[5,1,4,6,2,3] => [5,6,2,1,4,3] => [6,2,4,5,1,3] => 00011
[5,1,4,6,3,2] => [5,3,6,1,4,2] => [6,3,1,4,5,2] => 01011
[5,1,6,2,3,4] => [5,6,2,3,1,4] => [6,2,3,5,1,4] => 00011
[5,1,6,2,4,3] => [5,6,4,2,1,3] => [4,2,6,1,5,3] => 00111
[5,1,6,3,2,4] => [5,3,6,2,1,4] => [6,3,2,5,1,4] => 01011
[5,1,6,3,4,2] => [5,4,6,3,1,2] => [6,3,4,1,5,2] => 00111
[5,1,6,4,2,3] => [5,4,2,6,1,3] => [6,4,2,5,1,3] => 00111
[5,1,6,4,3,2] => [5,3,4,6,1,2] => [6,4,3,1,5,2] => 01111
[5,2,1,3,4,6] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => 10010
[5,2,1,3,6,4] => [2,5,1,6,3,4] => [6,2,1,3,5,4] => 10011
[5,2,1,4,3,6] => [2,5,4,1,3,6] => [4,2,1,5,3,6] => 10110
[5,2,1,4,6,3] => [2,5,6,1,4,3] => [6,2,1,4,5,3] => 10011
[5,2,1,6,3,4] => [2,5,6,3,1,4] => [6,3,5,2,1,4] => 10011
[5,2,1,6,4,3] => [2,5,4,6,1,3] => [6,4,2,1,5,3] => 10111
[5,2,3,1,4,6] => [3,5,2,1,4,6] => [5,2,3,1,4,6] => 01010
[5,2,3,1,6,4] => [3,5,2,6,1,4] => [6,2,3,1,5,4] => 01011
[5,2,3,4,1,6] => [4,5,2,3,1,6] => [5,2,3,4,1,6] => 00110
[5,2,3,4,6,1] => [6,5,2,3,4,1] => [5,2,3,4,6,1] => 00011
[5,2,3,6,1,4] => [6,5,2,1,3,4] => [5,2,6,1,3,4] => 00011
[5,2,3,6,4,1] => [4,6,1,5,3,2] => [5,1,3,6,4,2] => 00111
[5,2,4,1,3,6] => [4,5,1,2,3,6] => [5,1,4,2,3,6] => 00110
[5,2,4,1,6,3] => [4,5,6,2,1,3] => [6,2,5,1,4,3] => 00111
[5,2,4,3,1,6] => [3,4,5,1,2,6] => [5,1,4,3,2,6] => 01110
[5,2,4,3,6,1] => [6,5,4,2,3,1] => [4,2,5,3,6,1] => 00111
[5,2,4,6,1,3] => [6,5,1,2,4,3] => [5,1,4,6,2,3] => 00011
[5,2,4,6,3,1] => [3,6,5,1,4,2] => [5,1,4,6,3,2] => 01011
[5,2,6,1,3,4] => [6,5,1,3,2,4] => [5,1,3,6,2,4] => 00011
[5,2,6,1,4,3] => [6,5,4,1,2,3] => [4,1,5,2,6,3] => 00111
[5,2,6,3,1,4] => [3,6,5,2,1,4] => [5,2,6,3,1,4] => 01011
[5,2,6,3,4,1] => [4,5,6,3,2,1] => [6,3,5,2,4,1] => 00111
[5,2,6,4,1,3] => [4,6,2,5,1,3] => [5,2,6,4,1,3] => 00111
[5,2,6,4,3,1] => [3,4,6,5,2,1] => [5,2,6,4,3,1] => 01111
[5,3,1,2,4,6] => [3,1,5,2,4,6] => [5,3,1,2,4,6] => 01010
[5,3,1,2,6,4] => [3,1,5,6,2,4] => [6,3,1,2,5,4] => 01011
[5,3,1,4,2,6] => [3,5,4,2,1,6] => [4,2,5,3,1,6] => 01110
[5,3,1,4,6,2] => [3,5,6,2,4,1] => [6,2,4,5,3,1] => 01011
[5,3,1,6,2,4] => [3,5,6,1,2,4] => [6,1,5,3,2,4] => 01011
[5,3,1,6,4,2] => [3,5,4,6,2,1] => [6,4,2,5,3,1] => 01111
[5,3,2,1,4,6] => [2,3,5,1,4,6] => [5,3,2,1,4,6] => 11010
[5,3,2,1,6,4] => [2,3,5,6,1,4] => [6,3,2,1,5,4] => 11011
[5,3,2,4,1,6] => [4,3,5,2,1,6] => [5,3,2,4,1,6] => 01110
[5,3,2,4,6,1] => [6,3,5,2,4,1] => [5,3,2,4,6,1] => 01011
[5,3,2,6,1,4] => [6,3,5,1,2,4] => [5,3,1,6,2,4] => 01011
[5,3,2,6,4,1] => [4,3,6,5,1,2] => [5,3,1,6,4,2] => 01111
[5,3,4,1,2,6] => [4,1,5,3,2,6] => [5,3,4,1,2,6] => 00110
[5,3,4,1,6,2] => [4,6,5,3,1,2] => [5,3,6,1,4,2] => 00111
[5,3,4,2,1,6] => [2,4,5,3,1,6] => [5,3,4,2,1,6] => 10110
[5,3,4,2,6,1] => [6,4,5,3,2,1] => [5,3,4,2,6,1] => 00111
[5,3,4,6,1,2] => [6,1,5,3,4,2] => [5,3,4,6,1,2] => 00011
[5,3,4,6,2,1] => [2,6,5,3,4,1] => [5,3,4,6,2,1] => 10011
[5,3,6,1,2,4] => [6,1,5,2,3,4] => [5,1,2,6,3,4] => 00011
[5,3,6,1,4,2] => [6,4,5,1,3,2] => [5,1,4,3,6,2] => 00111
[5,3,6,2,1,4] => [2,6,5,1,3,4] => [5,2,1,6,3,4] => 10011
[5,3,6,2,4,1] => [4,6,5,2,3,1] => [5,2,6,3,4,1] => 00111
[5,3,6,4,1,2] => [4,1,6,5,2,3] => [5,1,2,6,4,3] => 00111
[5,3,6,4,2,1] => [2,4,6,5,1,3] => [5,2,1,6,4,3] => 10111
[5,4,1,2,3,6] => [4,1,2,5,3,6] => [5,4,1,2,3,6] => 00110
[5,4,1,2,6,3] => [4,1,5,6,3,2] => [6,3,5,4,1,2] => 00111
[5,4,1,3,2,6] => [4,3,1,5,2,6] => [3,1,5,4,2,6] => 01110
[5,4,1,3,6,2] => [4,5,2,6,3,1] => [6,2,3,5,4,1] => 00111
[5,4,1,6,2,3] => [4,5,1,6,2,3] => [6,1,5,4,2,3] => 00111
[5,4,1,6,3,2] => [4,3,5,6,2,1] => [6,3,2,5,4,1] => 01111
[5,4,2,1,3,6] => [2,4,1,5,3,6] => [5,4,2,1,3,6] => 10110
[5,4,2,1,6,3] => [2,4,5,6,3,1] => [6,3,5,4,2,1] => 10111
[5,4,2,3,1,6] => [3,4,2,5,1,6] => [5,4,2,3,1,6] => 01110
[5,4,2,3,6,1] => [6,4,2,5,3,1] => [5,4,2,3,6,1] => 00111
[5,4,2,6,1,3] => [6,4,1,5,2,3] => [5,4,1,6,2,3] => 00111
[5,4,2,6,3,1] => [3,6,4,5,1,2] => [5,4,1,6,3,2] => 01111
[5,4,3,1,2,6] => [3,1,4,5,2,6] => [5,4,3,1,2,6] => 01110
[5,4,3,1,6,2] => [3,4,5,6,1,2] => [6,1,5,4,3,2] => 01111
[5,4,3,2,1,6] => [2,3,4,5,1,6] => [5,4,3,2,1,6] => 11110
[5,4,3,2,6,1] => [6,3,4,5,2,1] => [5,4,3,2,6,1] => 01111
[5,4,3,6,1,2] => [6,1,4,5,3,2] => [5,4,3,6,1,2] => 00111
[5,4,3,6,2,1] => [2,6,4,5,3,1] => [5,4,3,6,2,1] => 10111
[5,4,6,1,2,3] => [6,1,2,5,4,3] => [5,4,6,1,2,3] => 00011
[5,4,6,1,3,2] => [6,3,1,5,4,2] => [3,1,5,4,6,2] => 01011
[5,4,6,2,1,3] => [2,6,1,5,4,3] => [5,4,6,2,1,3] => 10011
[5,4,6,2,3,1] => [3,6,2,5,4,1] => [5,4,6,2,3,1] => 01011
[5,4,6,3,1,2] => [3,1,6,5,4,2] => [5,4,6,3,1,2] => 01011
[5,4,6,3,2,1] => [2,3,6,5,4,1] => [5,4,6,3,2,1] => 11011
[5,6,1,2,3,4] => [6,1,2,3,5,4] => [5,6,1,2,3,4] => 00001
[5,6,1,2,4,3] => [6,1,4,2,5,3] => [4,1,2,5,6,3] => 00101
[5,6,1,3,2,4] => [6,3,1,2,5,4] => [3,1,5,6,2,4] => 01001
[5,6,1,3,4,2] => [6,4,1,3,5,2] => [4,1,3,5,6,2] => 00101
[5,6,1,4,2,3] => [6,4,2,1,5,3] => [4,2,5,6,1,3] => 00101
[5,6,1,4,3,2] => [6,3,4,1,5,2] => [4,3,1,5,6,2] => 01101
[5,6,2,1,3,4] => [2,6,1,3,5,4] => [5,6,2,1,3,4] => 10001
[5,6,2,1,4,3] => [2,6,4,1,5,3] => [4,2,1,5,6,3] => 10101
[5,6,2,3,1,4] => [3,6,2,1,5,4] => [5,6,2,3,1,4] => 01001
[5,6,2,3,4,1] => [4,6,2,3,5,1] => [5,6,2,3,4,1] => 00101
[5,6,2,4,1,3] => [4,6,1,2,5,3] => [5,6,1,4,2,3] => 00101
[5,6,2,4,3,1] => [3,4,6,1,5,2] => [5,6,1,4,3,2] => 01101
[5,6,3,1,2,4] => [3,1,6,2,5,4] => [5,6,3,1,2,4] => 01001
[5,6,3,1,4,2] => [3,6,4,2,5,1] => [4,2,5,6,3,1] => 01101
[5,6,3,2,1,4] => [2,3,6,1,5,4] => [5,6,3,2,1,4] => 11001
[5,6,3,2,4,1] => [4,3,6,2,5,1] => [5,6,3,2,4,1] => 01101
[5,6,3,4,1,2] => [4,1,6,3,5,2] => [5,6,3,4,1,2] => 00101
[5,6,3,4,2,1] => [2,4,6,3,5,1] => [5,6,3,4,2,1] => 10101
[5,6,4,1,2,3] => [4,1,2,6,5,3] => [5,6,4,1,2,3] => 00101
[5,6,4,1,3,2] => [4,3,1,6,5,2] => [3,1,5,6,4,2] => 01101
[5,6,4,2,1,3] => [2,4,1,6,5,3] => [5,6,4,2,1,3] => 10101
[5,6,4,2,3,1] => [3,4,2,6,5,1] => [5,6,4,2,3,1] => 01101
[5,6,4,3,1,2] => [3,1,4,6,5,2] => [5,6,4,3,1,2] => 01101
[5,6,4,3,2,1] => [2,3,4,6,5,1] => [5,6,4,3,2,1] => 11101
[6,1,2,3,4,5] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => 00001
[6,1,2,3,5,4] => [6,1,2,5,3,4] => [5,1,2,3,6,4] => 00011
[6,1,2,4,3,5] => [6,1,4,2,3,5] => [4,1,2,6,3,5] => 00101
[6,1,2,4,5,3] => [6,1,5,2,4,3] => [5,1,2,4,6,3] => 00011
[6,1,2,5,3,4] => [6,1,5,3,2,4] => [5,3,6,1,2,4] => 00011
[6,1,2,5,4,3] => [6,1,4,5,2,3] => [5,4,1,2,6,3] => 00111
[6,1,3,2,4,5] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => 01001
[6,1,3,2,5,4] => [6,3,1,5,2,4] => [3,1,5,2,6,4] => 01011
[6,1,3,4,2,5] => [6,4,1,3,2,5] => [4,1,3,6,2,5] => 00101
[6,1,3,4,5,2] => [6,5,1,3,4,2] => [5,1,3,4,6,2] => 00011
[6,1,3,5,2,4] => [6,5,1,2,3,4] => [5,1,6,2,3,4] => 00011
[6,1,3,5,4,2] => [6,4,1,5,3,2] => [5,4,1,3,6,2] => 00111
[6,1,4,2,3,5] => [6,4,2,1,3,5] => [4,2,6,1,3,5] => 00101
[6,1,4,2,5,3] => [6,4,5,1,2,3] => [5,1,4,2,6,3] => 00111
[6,1,4,3,2,5] => [6,3,4,1,2,5] => [4,3,1,6,2,5] => 01101
[6,1,4,3,5,2] => [6,5,4,1,3,2] => [4,1,5,3,6,2] => 00111
[6,1,4,5,2,3] => [6,5,2,1,4,3] => [5,2,4,6,1,3] => 00011
[6,1,4,5,3,2] => [6,3,5,1,4,2] => [5,3,1,4,6,2] => 01011
[6,1,5,2,3,4] => [6,5,2,3,1,4] => [5,2,3,6,1,4] => 00011
[6,1,5,2,4,3] => [6,5,4,2,1,3] => [4,2,5,1,6,3] => 00111
[6,1,5,3,2,4] => [6,3,5,2,1,4] => [5,3,2,6,1,4] => 01011
[6,1,5,3,4,2] => [6,4,5,3,1,2] => [5,3,4,1,6,2] => 00111
[6,1,5,4,2,3] => [6,4,2,5,1,3] => [5,4,2,6,1,3] => 00111
[6,1,5,4,3,2] => [6,3,4,5,1,2] => [5,4,3,1,6,2] => 01111
[6,2,1,3,4,5] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => 10001
[6,2,1,3,5,4] => [2,6,1,5,3,4] => [5,2,1,3,6,4] => 10011
[6,2,1,4,3,5] => [2,6,4,1,3,5] => [4,2,1,6,3,5] => 10101
[6,2,1,4,5,3] => [2,6,5,1,4,3] => [5,2,1,4,6,3] => 10011
[6,2,1,5,3,4] => [2,6,5,3,1,4] => [5,3,6,2,1,4] => 10011
[6,2,1,5,4,3] => [2,6,4,5,1,3] => [5,4,2,1,6,3] => 10111
[6,2,3,1,4,5] => [3,6,2,1,4,5] => [6,2,3,1,4,5] => 01001
[6,2,3,1,5,4] => [3,6,2,5,1,4] => [5,2,3,1,6,4] => 01011
[6,2,3,4,1,5] => [4,6,2,3,1,5] => [6,2,3,4,1,5] => 00101
[6,2,3,4,5,1] => [5,6,2,3,4,1] => [6,2,3,4,5,1] => 00011
[6,2,3,5,1,4] => [5,6,2,1,3,4] => [6,2,5,1,3,4] => 00011
[6,2,3,5,4,1] => [4,5,1,6,3,2] => [6,1,3,5,4,2] => 00111
[6,2,4,1,3,5] => [4,6,1,2,3,5] => [6,1,4,2,3,5] => 00101
[6,2,4,1,5,3] => [4,6,5,2,1,3] => [5,2,6,1,4,3] => 00111
[6,2,4,3,1,5] => [3,4,6,1,2,5] => [6,1,4,3,2,5] => 01101
[6,2,4,3,5,1] => [5,6,4,2,3,1] => [4,2,6,3,5,1] => 00111
[6,2,4,5,1,3] => [5,6,1,2,4,3] => [6,1,4,5,2,3] => 00011
[6,2,4,5,3,1] => [3,5,6,1,4,2] => [6,1,4,5,3,2] => 01011
[6,2,5,1,3,4] => [5,6,1,3,2,4] => [6,1,3,5,2,4] => 00011
[6,2,5,1,4,3] => [5,6,4,1,2,3] => [4,1,6,2,5,3] => 00111
[6,2,5,3,1,4] => [3,5,6,2,1,4] => [6,2,5,3,1,4] => 01011
[6,2,5,3,4,1] => [4,6,5,3,2,1] => [5,3,6,2,4,1] => 00111
[6,2,5,4,1,3] => [4,5,2,6,1,3] => [6,2,5,4,1,3] => 00111
[6,2,5,4,3,1] => [3,4,5,6,2,1] => [6,2,5,4,3,1] => 01111
[6,3,1,2,4,5] => [3,1,6,2,4,5] => [6,3,1,2,4,5] => 01001
[6,3,1,2,5,4] => [3,1,6,5,2,4] => [5,3,1,2,6,4] => 01011
[6,3,1,4,2,5] => [3,6,4,2,1,5] => [4,2,6,3,1,5] => 01101
[6,3,1,4,5,2] => [3,6,5,2,4,1] => [5,2,4,6,3,1] => 01011
[6,3,1,5,2,4] => [3,6,5,1,2,4] => [5,1,6,3,2,4] => 01011
[6,3,1,5,4,2] => [3,6,4,5,2,1] => [5,4,2,6,3,1] => 01111
[6,3,2,1,4,5] => [2,3,6,1,4,5] => [6,3,2,1,4,5] => 11001
[6,3,2,1,5,4] => [2,3,6,5,1,4] => [5,3,2,1,6,4] => 11011
[6,3,2,4,1,5] => [4,3,6,2,1,5] => [6,3,2,4,1,5] => 01101
[6,3,2,4,5,1] => [5,3,6,2,4,1] => [6,3,2,4,5,1] => 01011
[6,3,2,5,1,4] => [5,3,6,1,2,4] => [6,3,1,5,2,4] => 01011
[6,3,2,5,4,1] => [4,3,5,6,1,2] => [6,3,1,5,4,2] => 01111
[6,3,4,1,2,5] => [4,1,6,3,2,5] => [6,3,4,1,2,5] => 00101
[6,3,4,1,5,2] => [4,5,6,3,1,2] => [6,3,5,1,4,2] => 00111
[6,3,4,2,1,5] => [2,4,6,3,1,5] => [6,3,4,2,1,5] => 10101
[6,3,4,2,5,1] => [5,4,6,3,2,1] => [6,3,4,2,5,1] => 00111
[6,3,4,5,1,2] => [5,1,6,3,4,2] => [6,3,4,5,1,2] => 00011
[6,3,4,5,2,1] => [2,5,6,3,4,1] => [6,3,4,5,2,1] => 10011
[6,3,5,1,2,4] => [5,1,6,2,3,4] => [6,1,2,5,3,4] => 00011
[6,3,5,1,4,2] => [5,4,6,1,3,2] => [6,1,4,3,5,2] => 00111
[6,3,5,2,1,4] => [2,5,6,1,3,4] => [6,2,1,5,3,4] => 10011
[6,3,5,2,4,1] => [4,5,6,2,3,1] => [6,2,5,3,4,1] => 00111
[6,3,5,4,1,2] => [4,1,5,6,2,3] => [6,1,2,5,4,3] => 00111
[6,3,5,4,2,1] => [2,4,5,6,1,3] => [6,2,1,5,4,3] => 10111
[6,4,1,2,3,5] => [4,1,2,6,3,5] => [6,4,1,2,3,5] => 00101
[6,4,1,2,5,3] => [4,1,6,5,3,2] => [5,3,6,4,1,2] => 00111
[6,4,1,3,2,5] => [4,3,1,6,2,5] => [3,1,6,4,2,5] => 01101
[6,4,1,3,5,2] => [4,6,2,5,3,1] => [5,2,3,6,4,1] => 00111
[6,4,1,5,2,3] => [4,6,1,5,2,3] => [5,1,6,4,2,3] => 00111
[6,4,1,5,3,2] => [4,3,6,5,2,1] => [5,3,2,6,4,1] => 01111
[6,4,2,1,3,5] => [2,4,1,6,3,5] => [6,4,2,1,3,5] => 10101
[6,4,2,1,5,3] => [2,4,6,5,3,1] => [5,3,6,4,2,1] => 10111
[6,4,2,3,1,5] => [3,4,2,6,1,5] => [6,4,2,3,1,5] => 01101
[6,4,2,3,5,1] => [5,4,2,6,3,1] => [6,4,2,3,5,1] => 00111
[6,4,2,5,1,3] => [5,4,1,6,2,3] => [6,4,1,5,2,3] => 00111
[6,4,2,5,3,1] => [3,5,4,6,1,2] => [6,4,1,5,3,2] => 01111
[6,4,3,1,2,5] => [3,1,4,6,2,5] => [6,4,3,1,2,5] => 01101
[6,4,3,1,5,2] => [3,4,6,5,1,2] => [5,1,6,4,3,2] => 01111
[6,4,3,2,1,5] => [2,3,4,6,1,5] => [6,4,3,2,1,5] => 11101
[6,4,3,2,5,1] => [5,3,4,6,2,1] => [6,4,3,2,5,1] => 01111
[6,4,3,5,1,2] => [5,1,4,6,3,2] => [6,4,3,5,1,2] => 00111
[6,4,3,5,2,1] => [2,5,4,6,3,1] => [6,4,3,5,2,1] => 10111
[6,4,5,1,2,3] => [5,1,2,6,4,3] => [6,4,5,1,2,3] => 00011
[6,4,5,1,3,2] => [5,3,1,6,4,2] => [3,1,6,4,5,2] => 01011
[6,4,5,2,1,3] => [2,5,1,6,4,3] => [6,4,5,2,1,3] => 10011
[6,4,5,2,3,1] => [3,5,2,6,4,1] => [6,4,5,2,3,1] => 01011
[6,4,5,3,1,2] => [3,1,5,6,4,2] => [6,4,5,3,1,2] => 01011
[6,4,5,3,2,1] => [2,3,5,6,4,1] => [6,4,5,3,2,1] => 11011
[6,5,1,2,3,4] => [5,1,2,3,6,4] => [6,5,1,2,3,4] => 00011
[6,5,1,2,4,3] => [5,1,4,2,6,3] => [4,1,2,6,5,3] => 00111
[6,5,1,3,2,4] => [5,3,1,2,6,4] => [3,1,6,5,2,4] => 01011
[6,5,1,3,4,2] => [5,4,1,3,6,2] => [4,1,3,6,5,2] => 00111
[6,5,1,4,2,3] => [5,4,2,1,6,3] => [4,2,6,5,1,3] => 00111
[6,5,1,4,3,2] => [5,3,4,1,6,2] => [4,3,1,6,5,2] => 01111
[6,5,2,1,3,4] => [2,5,1,3,6,4] => [6,5,2,1,3,4] => 10011
[6,5,2,1,4,3] => [2,5,4,1,6,3] => [4,2,1,6,5,3] => 10111
[6,5,2,3,1,4] => [3,5,2,1,6,4] => [6,5,2,3,1,4] => 01011
[6,5,2,3,4,1] => [4,5,2,3,6,1] => [6,5,2,3,4,1] => 00111
[6,5,2,4,1,3] => [4,5,1,2,6,3] => [6,5,1,4,2,3] => 00111
[6,5,2,4,3,1] => [3,4,5,1,6,2] => [6,5,1,4,3,2] => 01111
[6,5,3,1,2,4] => [3,1,5,2,6,4] => [6,5,3,1,2,4] => 01011
[6,5,3,1,4,2] => [3,5,4,2,6,1] => [4,2,6,5,3,1] => 01111
[6,5,3,2,1,4] => [2,3,5,1,6,4] => [6,5,3,2,1,4] => 11011
[6,5,3,2,4,1] => [4,3,5,2,6,1] => [6,5,3,2,4,1] => 01111
[6,5,3,4,1,2] => [4,1,5,3,6,2] => [6,5,3,4,1,2] => 00111
[6,5,3,4,2,1] => [2,4,5,3,6,1] => [6,5,3,4,2,1] => 10111
[6,5,4,1,2,3] => [4,1,2,5,6,3] => [6,5,4,1,2,3] => 00111
[6,5,4,1,3,2] => [4,3,1,5,6,2] => [3,1,6,5,4,2] => 01111
[6,5,4,2,1,3] => [2,4,1,5,6,3] => [6,5,4,2,1,3] => 10111
[6,5,4,2,3,1] => [3,4,2,5,6,1] => [6,5,4,2,3,1] => 01111
[6,5,4,3,1,2] => [3,1,4,5,6,2] => [6,5,4,3,1,2] => 01111
[6,5,4,3,2,1] => [2,3,4,5,6,1] => [6,5,4,3,2,1] => 11111
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 000000
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 000001
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 000010
[1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => 000001
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => 000001
[1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 000011
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 000100
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 000101
[1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => 000010
[1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => 000001
[1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => [1,2,3,5,7,4,6] => 000001
[1,2,3,5,7,6,4] => [1,2,3,6,5,7,4] => [1,2,3,5,7,6,4] => 000011
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => 000010
[1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => 000011
[1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => 000110
[1,2,3,6,5,7,4] => [1,2,3,7,6,5,4] => [1,2,3,6,5,7,4] => 000011
[1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => [1,2,3,6,7,4,5] => 000001
[1,2,3,6,7,5,4] => [1,2,3,5,7,6,4] => [1,2,3,6,7,5,4] => 000101
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => 000001
[1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => [1,2,3,6,4,7,5] => 000011
[1,2,3,7,5,4,6] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => 000101
[1,2,3,7,5,6,4] => [1,2,3,6,7,5,4] => [1,2,3,7,5,6,4] => 000011
[1,2,3,7,6,4,5] => [1,2,3,6,4,7,5] => [1,2,3,7,6,4,5] => 000011
[1,2,3,7,6,5,4] => [1,2,3,5,6,7,4] => [1,2,3,7,6,5,4] => 000111
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 001000
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 001001
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 001010
[1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => 001001
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => 001001
[1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => 001011
[1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => 000100
[1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => 000101
[1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => 000010
[1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => 000001
[1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => [1,2,4,5,7,3,6] => 000001
[1,2,4,5,7,6,3] => [1,2,6,4,5,7,3] => [1,2,4,5,7,6,3] => 000011
[1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => [1,2,4,6,3,5,7] => 000010
[1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => [1,2,4,7,3,6,5] => 000011
[1,2,4,6,5,3,7] => [1,2,5,4,6,3,7] => [1,2,4,6,5,3,7] => 000110
[1,2,4,6,5,7,3] => [1,2,7,4,6,5,3] => [1,2,4,6,5,7,3] => 000011
[1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => [1,2,4,6,7,3,5] => 000001
[1,2,4,6,7,5,3] => [1,2,5,4,7,6,3] => [1,2,4,6,7,5,3] => 000101
[1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => [1,2,4,7,3,5,6] => 000001
[1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => [1,2,4,6,3,7,5] => 000011
[1,2,4,7,5,3,6] => [1,2,5,4,7,3,6] => [1,2,4,7,5,3,6] => 000101
[1,2,4,7,5,6,3] => [1,2,6,4,7,5,3] => [1,2,4,7,5,6,3] => 000011
[1,2,4,7,6,3,5] => [1,2,6,4,3,7,5] => [1,2,4,7,6,3,5] => 000011
[1,2,4,7,6,5,3] => [1,2,5,4,6,7,3] => [1,2,4,7,6,5,3] => 000111
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => 000100
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => 000101
[1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => 000110
[1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => [1,2,6,7,3,5,4] => 000101
[1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => 000101
[1,2,5,3,7,6,4] => [1,2,5,6,3,7,4] => [1,2,7,6,3,5,4] => 000111
[1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => 001100
[1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => 001101
[1,2,5,4,6,3,7] => [1,2,6,5,4,3,7] => [1,2,5,4,6,3,7] => 000110
[1,2,5,4,6,7,3] => [1,2,7,5,4,6,3] => [1,2,5,4,6,7,3] => 000101
[1,2,5,4,7,3,6] => [1,2,7,5,4,3,6] => [1,2,5,4,7,3,6] => 000101
[1,2,5,4,7,6,3] => [1,2,6,5,4,7,3] => [1,2,5,4,7,6,3] => 000111
[1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => [1,2,5,6,3,4,7] => 000010
[1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => [1,2,5,7,3,6,4] => 000011
[1,2,5,6,4,3,7] => [1,2,4,6,5,3,7] => [1,2,5,6,4,3,7] => 001010
[1,2,5,6,4,7,3] => [1,2,7,6,5,4,3] => [1,2,5,6,4,7,3] => 000011
[1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => [1,2,5,6,7,3,4] => 000001
[1,2,5,6,7,4,3] => [1,2,4,7,5,6,3] => [1,2,5,6,7,4,3] => 001001
[1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => [1,2,5,7,3,4,6] => 000001
[1,2,5,7,3,6,4] => [1,2,7,6,5,3,4] => [1,2,5,6,3,7,4] => 000011
[1,2,5,7,4,3,6] => [1,2,4,7,5,3,6] => [1,2,5,7,4,3,6] => 001001
[1,2,5,7,4,6,3] => [1,2,6,7,5,4,3] => [1,2,5,7,4,6,3] => 000011
[1,2,5,7,6,3,4] => [1,2,6,3,5,7,4] => [1,2,5,7,6,3,4] => 000011
[1,2,5,7,6,4,3] => [1,2,4,6,5,7,3] => [1,2,5,7,6,4,3] => 001011
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => 000010
[1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => [1,2,7,3,4,6,5] => 000011
[1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => [1,2,5,3,6,4,7] => 000110
[1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => [1,2,7,3,5,6,4] => 000011
[1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => [1,2,7,4,6,3,5] => 000011
[1,2,6,3,7,5,4] => [1,2,6,5,7,3,4] => [1,2,7,5,3,6,4] => 000111
[1,2,6,4,3,5,7] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => 001010
[1,2,6,4,3,7,5] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => 001011
[1,2,6,4,5,3,7] => [1,2,5,6,4,3,7] => [1,2,6,4,5,3,7] => 000110
[1,2,6,4,5,7,3] => [1,2,7,6,4,5,3] => [1,2,6,4,5,7,3] => 000011
[1,2,6,4,7,3,5] => [1,2,7,6,3,4,5] => [1,2,6,3,7,4,5] => 000011
[1,2,6,4,7,5,3] => [1,2,5,7,6,3,4] => [1,2,6,3,7,5,4] => 000111
[1,2,6,5,3,4,7] => [1,2,5,3,6,4,7] => [1,2,6,5,3,4,7] => 000110
[1,2,6,5,3,7,4] => [1,2,5,6,7,4,3] => [1,2,7,4,6,5,3] => 000111
[1,2,6,5,4,3,7] => [1,2,4,5,6,3,7] => [1,2,6,5,4,3,7] => 001110
[1,2,6,5,4,7,3] => [1,2,7,5,6,4,3] => [1,2,6,5,4,7,3] => 000111
[1,2,6,5,7,3,4] => [1,2,7,3,6,5,4] => [1,2,6,5,7,3,4] => 000011
[1,2,6,5,7,4,3] => [1,2,4,7,6,5,3] => [1,2,6,5,7,4,3] => 001011
[1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => [1,2,6,7,3,4,5] => 000001
[1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => [1,2,5,3,6,7,4] => 000101
[1,2,6,7,4,3,5] => [1,2,4,7,3,6,5] => [1,2,6,7,4,3,5] => 001001
[1,2,6,7,4,5,3] => [1,2,5,7,4,6,3] => [1,2,6,7,4,5,3] => 000101
[1,2,6,7,5,3,4] => [1,2,5,3,7,6,4] => [1,2,6,7,5,3,4] => 000101
[1,2,6,7,5,4,3] => [1,2,4,5,7,6,3] => [1,2,6,7,5,4,3] => 001101
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => 000001
[1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => [1,2,6,3,4,7,5] => 000011
[1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => [1,2,5,3,7,4,6] => 000101
[1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => [1,2,6,3,5,7,4] => 000011
[1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => [1,2,6,4,7,3,5] => 000011
[1,2,7,3,6,5,4] => [1,2,7,5,6,3,4] => [1,2,6,5,3,7,4] => 000111
[1,2,7,4,3,5,6] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => 001001
[1,2,7,4,3,6,5] => [1,2,4,7,6,3,5] => [1,2,6,4,3,7,5] => 001011
[1,2,7,4,5,3,6] => [1,2,5,7,4,3,6] => [1,2,7,4,5,3,6] => 000101
[1,2,7,4,5,6,3] => [1,2,6,7,4,5,3] => [1,2,7,4,5,6,3] => 000011
[1,2,7,4,6,3,5] => [1,2,6,7,3,4,5] => [1,2,7,3,6,4,5] => 000011
[1,2,7,4,6,5,3] => [1,2,5,6,7,3,4] => [1,2,7,3,6,5,4] => 000111
[1,2,7,5,3,4,6] => [1,2,5,3,7,4,6] => [1,2,7,5,3,4,6] => 000101
[1,2,7,5,3,6,4] => [1,2,5,7,6,4,3] => [1,2,6,4,7,5,3] => 000111
[1,2,7,5,4,3,6] => [1,2,4,5,7,3,6] => [1,2,7,5,4,3,6] => 001101
[1,2,7,5,4,6,3] => [1,2,6,5,7,4,3] => [1,2,7,5,4,6,3] => 000111
[1,2,7,5,6,3,4] => [1,2,6,3,7,5,4] => [1,2,7,5,6,3,4] => 000011
[1,2,7,5,6,4,3] => [1,2,4,6,7,5,3] => [1,2,7,5,6,4,3] => 001011
[1,2,7,6,3,4,5] => [1,2,6,3,4,7,5] => [1,2,7,6,3,4,5] => 000011
[1,2,7,6,3,5,4] => [1,2,6,5,3,7,4] => [1,2,5,3,7,6,4] => 000111
[1,2,7,6,4,3,5] => [1,2,4,6,3,7,5] => [1,2,7,6,4,3,5] => 001011
[1,2,7,6,4,5,3] => [1,2,5,6,4,7,3] => [1,2,7,6,4,5,3] => 000111
[1,2,7,6,5,3,4] => [1,2,5,3,6,7,4] => [1,2,7,6,5,3,4] => 000111
[1,2,7,6,5,4,3] => [1,2,4,5,6,7,3] => [1,2,7,6,5,4,3] => 001111
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 010000
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 010001
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 010010
[1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => 010001
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => 010001
[1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => 010011
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 010100
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => 010101
[1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => 010010
[1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => 010001
[1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => [1,3,2,5,7,4,6] => 010001
[1,3,2,5,7,6,4] => [1,3,2,6,5,7,4] => [1,3,2,5,7,6,4] => 010011
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => 010010
[1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => 010011
[1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => 010110
[1,3,2,6,5,7,4] => [1,3,2,7,6,5,4] => [1,3,2,6,5,7,4] => 010011
[1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => [1,3,2,6,7,4,5] => 010001
[1,3,2,6,7,5,4] => [1,3,2,5,7,6,4] => [1,3,2,6,7,5,4] => 010101
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => 010001
[1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => [1,3,2,6,4,7,5] => 010011
[1,3,2,7,5,4,6] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => 010101
[1,3,2,7,5,6,4] => [1,3,2,6,7,5,4] => [1,3,2,7,5,6,4] => 010011
[1,3,2,7,6,4,5] => [1,3,2,6,4,7,5] => [1,3,2,7,6,4,5] => 010011
[1,3,2,7,6,5,4] => [1,3,2,5,6,7,4] => [1,3,2,7,6,5,4] => 010111
[1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => 001000
[1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => 001001
[1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => 001010
[1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => 001001
[1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => [1,3,4,2,7,5,6] => 001001
[1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => 001011
[1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => 000100
[1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => 000101
[1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => 000010
[1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => 000001
[1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => [1,3,4,5,7,2,6] => 000001
[1,3,4,5,7,6,2] => [1,6,3,4,5,7,2] => [1,3,4,5,7,6,2] => 000011
[1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => [1,3,4,6,2,5,7] => 000010
[1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] => [1,3,4,7,2,6,5] => 000011
[1,3,4,6,5,2,7] => [1,5,3,4,6,2,7] => [1,3,4,6,5,2,7] => 000110
[1,3,4,6,5,7,2] => [1,7,3,4,6,5,2] => [1,3,4,6,5,7,2] => 000011
[1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] => [1,3,4,6,7,2,5] => 000001
[1,3,4,6,7,5,2] => [1,5,3,4,7,6,2] => [1,3,4,6,7,5,2] => 000101
[1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => [1,3,4,7,2,5,6] => 000001
[1,3,4,7,2,6,5] => [1,7,3,4,6,2,5] => [1,3,4,6,2,7,5] => 000011
[1,3,4,7,5,2,6] => [1,5,3,4,7,2,6] => [1,3,4,7,5,2,6] => 000101
[1,3,4,7,5,6,2] => [1,6,3,4,7,5,2] => [1,3,4,7,5,6,2] => 000011
[1,3,4,7,6,2,5] => [1,6,3,4,2,7,5] => [1,3,4,7,6,2,5] => 000011
[1,3,4,7,6,5,2] => [1,5,3,4,6,7,2] => [1,3,4,7,6,5,2] => 000111
[1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => [1,3,5,2,4,6,7] => 000100
[1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => [1,3,5,2,4,7,6] => 000101
[1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => [1,3,6,2,5,4,7] => 000110
[1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] => [1,3,6,7,2,5,4] => 000101
[1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => [1,3,7,2,5,4,6] => 000101
[1,3,5,2,7,6,4] => [1,5,3,6,2,7,4] => [1,3,7,6,2,5,4] => 000111
[1,3,5,4,2,6,7] => [1,4,3,5,2,6,7] => [1,3,5,4,2,6,7] => 001100
[1,3,5,4,2,7,6] => [1,4,3,5,2,7,6] => [1,3,5,4,2,7,6] => 001101
[1,3,5,4,6,2,7] => [1,6,3,5,4,2,7] => [1,3,5,4,6,2,7] => 000110
[1,3,5,4,6,7,2] => [1,7,3,5,4,6,2] => [1,3,5,4,6,7,2] => 000101
[1,3,5,4,7,2,6] => [1,7,3,5,4,2,6] => [1,3,5,4,7,2,6] => 000101
[1,3,5,4,7,6,2] => [1,6,3,5,4,7,2] => [1,3,5,4,7,6,2] => 000111
[1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => [1,3,5,6,2,4,7] => 000010
[1,3,5,6,2,7,4] => [1,6,3,7,5,2,4] => [1,3,5,7,2,6,4] => 000011
[1,3,5,6,4,2,7] => [1,4,3,6,5,2,7] => [1,3,5,6,4,2,7] => 001010
[1,3,5,6,4,7,2] => [1,7,3,6,5,4,2] => [1,3,5,6,4,7,2] => 000011
[1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => [1,3,5,6,7,2,4] => 000001
[1,3,5,6,7,4,2] => [1,4,3,7,5,6,2] => [1,3,5,6,7,4,2] => 001001
[1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => [1,3,5,7,2,4,6] => 000001
[1,3,5,7,2,6,4] => [1,7,3,6,5,2,4] => [1,3,5,6,2,7,4] => 000011
[1,3,5,7,4,2,6] => [1,4,3,7,5,2,6] => [1,3,5,7,4,2,6] => 001001
[1,3,5,7,4,6,2] => [1,6,3,7,5,4,2] => [1,3,5,7,4,6,2] => 000011
[1,3,5,7,6,2,4] => [1,6,3,2,5,7,4] => [1,3,5,7,6,2,4] => 000011
[1,3,5,7,6,4,2] => [1,4,3,6,5,7,2] => [1,3,5,7,6,4,2] => 001011
[1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => [1,3,6,2,4,5,7] => 000010
[1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => [1,3,7,2,4,6,5] => 000011
[1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => [1,3,5,2,6,4,7] => 000110
[1,3,6,2,5,7,4] => [1,6,3,7,2,5,4] => [1,3,7,2,5,6,4] => 000011
[1,3,6,2,7,4,5] => [1,6,3,7,4,2,5] => [1,3,7,4,6,2,5] => 000011
[1,3,6,2,7,5,4] => [1,6,3,5,7,2,4] => [1,3,7,5,2,6,4] => 000111
[1,3,6,4,2,5,7] => [1,4,3,6,2,5,7] => [1,3,6,4,2,5,7] => 001010
[1,3,6,4,2,7,5] => [1,4,3,6,7,2,5] => [1,3,7,4,2,6,5] => 001011
[1,3,6,4,5,2,7] => [1,5,3,6,4,2,7] => [1,3,6,4,5,2,7] => 000110
[1,3,6,4,5,7,2] => [1,7,3,6,4,5,2] => [1,3,6,4,5,7,2] => 000011
[1,3,6,4,7,2,5] => [1,7,3,6,2,4,5] => [1,3,6,2,7,4,5] => 000011
[1,3,6,4,7,5,2] => [1,5,3,7,6,2,4] => [1,3,6,2,7,5,4] => 000111
[1,3,6,5,2,4,7] => [1,5,3,2,6,4,7] => [1,3,6,5,2,4,7] => 000110
[1,3,6,5,2,7,4] => [1,5,3,6,7,4,2] => [1,3,7,4,6,5,2] => 000111
[1,3,6,5,4,2,7] => [1,4,3,5,6,2,7] => [1,3,6,5,4,2,7] => 001110
[1,3,6,5,4,7,2] => [1,7,3,5,6,4,2] => [1,3,6,5,4,7,2] => 000111
[1,3,6,5,7,2,4] => [1,7,3,2,6,5,4] => [1,3,6,5,7,2,4] => 000011
[1,3,6,5,7,4,2] => [1,4,3,7,6,5,2] => [1,3,6,5,7,4,2] => 001011
[1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => [1,3,6,7,2,4,5] => 000001
[1,3,6,7,2,5,4] => [1,7,3,5,2,6,4] => [1,3,5,2,6,7,4] => 000101
[1,3,6,7,4,2,5] => [1,4,3,7,2,6,5] => [1,3,6,7,4,2,5] => 001001
[1,3,6,7,4,5,2] => [1,5,3,7,4,6,2] => [1,3,6,7,4,5,2] => 000101
[1,3,6,7,5,2,4] => [1,5,3,2,7,6,4] => [1,3,6,7,5,2,4] => 000101
[1,3,6,7,5,4,2] => [1,4,3,5,7,6,2] => [1,3,6,7,5,4,2] => 001101
[1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => [1,3,7,2,4,5,6] => 000001
[1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => [1,3,6,2,4,7,5] => 000011
[1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => [1,3,5,2,7,4,6] => 000101
[1,3,7,2,5,6,4] => [1,7,3,6,2,5,4] => [1,3,6,2,5,7,4] => 000011
[1,3,7,2,6,4,5] => [1,7,3,6,4,2,5] => [1,3,6,4,7,2,5] => 000011
[1,3,7,2,6,5,4] => [1,7,3,5,6,2,4] => [1,3,6,5,2,7,4] => 000111
[1,3,7,4,2,5,6] => [1,4,3,7,2,5,6] => [1,3,7,4,2,5,6] => 001001
[1,3,7,4,2,6,5] => [1,4,3,7,6,2,5] => [1,3,6,4,2,7,5] => 001011
[1,3,7,4,5,2,6] => [1,5,3,7,4,2,6] => [1,3,7,4,5,2,6] => 000101
[1,3,7,4,5,6,2] => [1,6,3,7,4,5,2] => [1,3,7,4,5,6,2] => 000011
[1,3,7,4,6,2,5] => [1,6,3,7,2,4,5] => [1,3,7,2,6,4,5] => 000011
[1,3,7,4,6,5,2] => [1,5,3,6,7,2,4] => [1,3,7,2,6,5,4] => 000111
[1,3,7,5,2,4,6] => [1,5,3,2,7,4,6] => [1,3,7,5,2,4,6] => 000101
[1,3,7,5,2,6,4] => [1,5,3,7,6,4,2] => [1,3,6,4,7,5,2] => 000111
[1,3,7,5,4,2,6] => [1,4,3,5,7,2,6] => [1,3,7,5,4,2,6] => 001101
[1,3,7,5,4,6,2] => [1,6,3,5,7,4,2] => [1,3,7,5,4,6,2] => 000111
[1,3,7,5,6,2,4] => [1,6,3,2,7,5,4] => [1,3,7,5,6,2,4] => 000011
[1,3,7,5,6,4,2] => [1,4,3,6,7,5,2] => [1,3,7,5,6,4,2] => 001011
[1,3,7,6,2,4,5] => [1,6,3,2,4,7,5] => [1,3,7,6,2,4,5] => 000011
[1,3,7,6,2,5,4] => [1,6,3,5,2,7,4] => [1,3,5,2,7,6,4] => 000111
[1,3,7,6,4,2,5] => [1,4,3,6,2,7,5] => [1,3,7,6,4,2,5] => 001011
[1,3,7,6,4,5,2] => [1,5,3,6,4,7,2] => [1,3,7,6,4,5,2] => 000111
[1,3,7,6,5,2,4] => [1,5,3,2,6,7,4] => [1,3,7,6,5,2,4] => 000111
[1,3,7,6,5,4,2] => [1,4,3,5,6,7,2] => [1,3,7,6,5,4,2] => 001111
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => 001000
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => 001001
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => 001010
[1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => [1,4,2,3,6,7,5] => 001001
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => 001001
[1,4,2,3,7,6,5] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => 001011
[1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => 001100
[1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => 001101
[1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => [1,5,6,2,4,3,7] => 001010
[1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] => [1,5,6,7,2,4,3] => 001001
[1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => [1,5,7,2,4,3,6] => 001001
[1,4,2,5,7,6,3] => [1,4,6,2,5,7,3] => [1,5,7,6,2,4,3] => 001011
[1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => 001010
[1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => [1,7,2,4,3,6,5] => 001011
[1,4,2,6,5,3,7] => [1,4,5,2,6,3,7] => [1,6,5,2,4,3,7] => 001110
[1,4,2,6,5,7,3] => [1,4,7,2,6,5,3] => [1,6,5,7,2,4,3] => 001011
[1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => [1,6,7,2,4,3,5] => 001001
[1,4,2,6,7,5,3] => [1,4,5,2,7,6,3] => [1,6,7,5,2,4,3] => 001101
[1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => 001001
[1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => [1,6,2,4,3,7,5] => 001011
[1,4,2,7,5,3,6] => [1,4,5,2,7,3,6] => [1,7,5,2,4,3,6] => 001101
[1,4,2,7,5,6,3] => [1,4,6,2,7,5,3] => [1,7,5,6,2,4,3] => 001011
[1,4,2,7,6,3,5] => [1,4,6,2,3,7,5] => [1,7,6,2,4,3,5] => 001011
[1,4,2,7,6,5,3] => [1,4,5,2,6,7,3] => [1,7,6,5,2,4,3] => 001111
[1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => 011000
[1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => 011001
[1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => 011010
[1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => 011001
[1,4,3,2,7,5,6] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => 011001
[1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => 011011
[1,4,3,5,2,6,7] => [1,5,4,3,2,6,7] => [1,4,3,5,2,6,7] => 001100
[1,4,3,5,2,7,6] => [1,5,4,3,2,7,6] => [1,4,3,5,2,7,6] => 001101
[1,4,3,5,6,2,7] => [1,6,4,3,5,2,7] => [1,4,3,5,6,2,7] => 001010
[1,4,3,5,6,7,2] => [1,7,4,3,5,6,2] => [1,4,3,5,6,7,2] => 001001
[1,4,3,5,7,2,6] => [1,7,4,3,5,2,6] => [1,4,3,5,7,2,6] => 001001
[1,4,3,5,7,6,2] => [1,6,4,3,5,7,2] => [1,4,3,5,7,6,2] => 001011
[1,4,3,6,2,5,7] => [1,6,4,3,2,5,7] => [1,4,3,6,2,5,7] => 001010
[1,4,3,6,2,7,5] => [1,6,4,3,7,2,5] => [1,4,3,7,2,6,5] => 001011
[1,4,3,6,5,2,7] => [1,5,4,3,6,2,7] => [1,4,3,6,5,2,7] => 001110
[1,4,3,6,5,7,2] => [1,7,4,3,6,5,2] => [1,4,3,6,5,7,2] => 001011
[1,4,3,6,7,2,5] => [1,7,4,3,2,6,5] => [1,4,3,6,7,2,5] => 001001
[1,4,3,6,7,5,2] => [1,5,4,3,7,6,2] => [1,4,3,6,7,5,2] => 001101
[1,4,3,7,2,5,6] => [1,7,4,3,2,5,6] => [1,4,3,7,2,5,6] => 001001
[1,4,3,7,2,6,5] => [1,7,4,3,6,2,5] => [1,4,3,6,2,7,5] => 001011
[1,4,3,7,5,2,6] => [1,5,4,3,7,2,6] => [1,4,3,7,5,2,6] => 001101
[1,4,3,7,5,6,2] => [1,6,4,3,7,5,2] => [1,4,3,7,5,6,2] => 001011
[1,4,3,7,6,2,5] => [1,6,4,3,2,7,5] => [1,4,3,7,6,2,5] => 001011
[1,4,3,7,6,5,2] => [1,5,4,3,6,7,2] => [1,4,3,7,6,5,2] => 001111
[1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => [1,4,5,2,3,6,7] => 000100
[1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => [1,4,5,2,3,7,6] => 000101
[1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => [1,4,6,2,5,3,7] => 000110
[1,4,5,2,6,7,3] => [1,5,7,4,2,6,3] => [1,4,6,7,2,5,3] => 000101
[1,4,5,2,7,3,6] => [1,5,7,4,2,3,6] => [1,4,7,2,5,3,6] => 000101
[1,4,5,2,7,6,3] => [1,5,6,4,2,7,3] => [1,4,7,6,2,5,3] => 000111
[1,4,5,3,2,6,7] => [1,3,5,4,2,6,7] => [1,4,5,3,2,6,7] => 010100
[1,4,5,3,2,7,6] => [1,3,5,4,2,7,6] => [1,4,5,3,2,7,6] => 010101
[1,4,5,3,6,2,7] => [1,6,5,4,3,2,7] => [1,4,5,3,6,2,7] => 000110
[1,4,5,3,6,7,2] => [1,7,5,4,3,6,2] => [1,4,5,3,6,7,2] => 000101
[1,4,5,3,7,2,6] => [1,7,5,4,3,2,6] => [1,4,5,3,7,2,6] => 000101
[1,4,5,3,7,6,2] => [1,6,5,4,3,7,2] => [1,4,5,3,7,6,2] => 000111
[1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => [1,4,5,6,2,3,7] => 000010
[1,4,5,6,2,7,3] => [1,6,7,4,5,2,3] => [1,4,5,7,2,6,3] => 000011
[1,4,5,6,3,2,7] => [1,3,6,4,5,2,7] => [1,4,5,6,3,2,7] => 010010
[1,4,5,6,3,7,2] => [1,7,6,4,5,3,2] => [1,4,5,6,3,7,2] => 000011
[1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] => [1,4,5,6,7,2,3] => 000001
[1,4,5,6,7,3,2] => [1,3,7,4,5,6,2] => [1,4,5,6,7,3,2] => 010001
[1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => [1,4,5,7,2,3,6] => 000001
[1,4,5,7,2,6,3] => [1,7,6,4,5,2,3] => [1,4,5,6,2,7,3] => 000011
[1,4,5,7,3,2,6] => [1,3,7,4,5,2,6] => [1,4,5,7,3,2,6] => 010001
[1,4,5,7,3,6,2] => [1,6,7,4,5,3,2] => [1,4,5,7,3,6,2] => 000011
[1,4,5,7,6,2,3] => [1,6,2,4,5,7,3] => [1,4,5,7,6,2,3] => 000011
[1,4,5,7,6,3,2] => [1,3,6,4,5,7,2] => [1,4,5,7,6,3,2] => 010011
[1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => [1,4,6,2,3,5,7] => 000010
[1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => [1,4,7,2,3,6,5] => 000011
[1,4,6,2,5,3,7] => [1,6,5,4,2,3,7] => [1,4,5,2,6,3,7] => 000110
[1,4,6,2,5,7,3] => [1,6,7,4,2,5,3] => [1,4,7,2,5,6,3] => 000011
[1,4,6,2,7,3,5] => [1,6,7,4,3,2,5] => [1,4,7,3,6,2,5] => 000011
[1,4,6,2,7,5,3] => [1,6,5,4,7,2,3] => [1,4,7,5,2,6,3] => 000111
[1,4,6,3,2,5,7] => [1,3,6,4,2,5,7] => [1,4,6,3,2,5,7] => 010010
[1,4,6,3,2,7,5] => [1,3,6,4,7,2,5] => [1,4,7,3,2,6,5] => 010011
[1,4,6,3,5,2,7] => [1,5,6,4,3,2,7] => [1,4,6,3,5,2,7] => 000110
[1,4,6,3,5,7,2] => [1,7,6,4,3,5,2] => [1,4,6,3,5,7,2] => 000011
[1,4,6,3,7,2,5] => [1,7,6,4,2,3,5] => [1,4,6,2,7,3,5] => 000011
[1,4,6,3,7,5,2] => [1,5,7,4,6,2,3] => [1,4,6,2,7,5,3] => 000111
[1,4,6,5,2,3,7] => [1,5,2,4,6,3,7] => [1,4,6,5,2,3,7] => 000110
[1,4,6,5,2,7,3] => [1,5,6,4,7,3,2] => [1,4,7,3,6,5,2] => 000111
[1,4,6,5,3,2,7] => [1,3,5,4,6,2,7] => [1,4,6,5,3,2,7] => 010110
[1,4,6,5,3,7,2] => [1,7,5,4,6,3,2] => [1,4,6,5,3,7,2] => 000111
[1,4,6,5,7,2,3] => [1,7,2,4,6,5,3] => [1,4,6,5,7,2,3] => 000011
[1,4,6,5,7,3,2] => [1,3,7,4,6,5,2] => [1,4,6,5,7,3,2] => 010011
[1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => [1,4,6,7,2,3,5] => 000001
[1,4,6,7,2,5,3] => [1,7,5,4,2,6,3] => [1,4,5,2,6,7,3] => 000101
[1,4,6,7,3,2,5] => [1,3,7,4,2,6,5] => [1,4,6,7,3,2,5] => 010001
[1,4,6,7,3,5,2] => [1,5,7,4,3,6,2] => [1,4,6,7,3,5,2] => 000101
[1,4,6,7,5,2,3] => [1,5,2,4,7,6,3] => [1,4,6,7,5,2,3] => 000101
[1,4,6,7,5,3,2] => [1,3,5,4,7,6,2] => [1,4,6,7,5,3,2] => 010101
[1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => [1,4,7,2,3,5,6] => 000001
[1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => [1,4,6,2,3,7,5] => 000011
[1,4,7,2,5,3,6] => [1,7,5,4,2,3,6] => [1,4,5,2,7,3,6] => 000101
[1,4,7,2,5,6,3] => [1,7,6,4,2,5,3] => [1,4,6,2,5,7,3] => 000011
[1,4,7,2,6,3,5] => [1,7,6,4,3,2,5] => [1,4,6,3,7,2,5] => 000011
[1,4,7,2,6,5,3] => [1,7,5,4,6,2,3] => [1,4,6,5,2,7,3] => 000111
[1,4,7,3,2,5,6] => [1,3,7,4,2,5,6] => [1,4,7,3,2,5,6] => 010001
[1,4,7,3,2,6,5] => [1,3,7,4,6,2,5] => [1,4,6,3,2,7,5] => 010011
[1,4,7,3,5,2,6] => [1,5,7,4,3,2,6] => [1,4,7,3,5,2,6] => 000101
[1,4,7,3,5,6,2] => [1,6,7,4,3,5,2] => [1,4,7,3,5,6,2] => 000011
[1,4,7,3,6,2,5] => [1,6,7,4,2,3,5] => [1,4,7,2,6,3,5] => 000011
[1,4,7,3,6,5,2] => [1,5,6,4,7,2,3] => [1,4,7,2,6,5,3] => 000111
[1,4,7,5,2,3,6] => [1,5,2,4,7,3,6] => [1,4,7,5,2,3,6] => 000101
[1,4,7,5,2,6,3] => [1,5,7,4,6,3,2] => [1,4,6,3,7,5,2] => 000111
[1,4,7,5,3,2,6] => [1,3,5,4,7,2,6] => [1,4,7,5,3,2,6] => 010101
[1,4,7,5,3,6,2] => [1,6,5,4,7,3,2] => [1,4,7,5,3,6,2] => 000111
[1,4,7,5,6,2,3] => [1,6,2,4,7,5,3] => [1,4,7,5,6,2,3] => 000011
[1,4,7,5,6,3,2] => [1,3,6,4,7,5,2] => [1,4,7,5,6,3,2] => 010011
[1,4,7,6,2,3,5] => [1,6,2,4,3,7,5] => [1,4,7,6,2,3,5] => 000011
[1,4,7,6,2,5,3] => [1,6,5,4,2,7,3] => [1,4,5,2,7,6,3] => 000111
[1,4,7,6,3,2,5] => [1,3,6,4,2,7,5] => [1,4,7,6,3,2,5] => 010011
[1,4,7,6,3,5,2] => [1,5,6,4,3,7,2] => [1,4,7,6,3,5,2] => 000111
[1,4,7,6,5,2,3] => [1,5,2,4,6,7,3] => [1,4,7,6,5,2,3] => 000111
[1,4,7,6,5,3,2] => [1,3,5,4,6,7,2] => [1,4,7,6,5,3,2] => 010111
[1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => 000100
[1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => 000101
[1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => [1,6,2,3,5,4,7] => 000110
[1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => [1,6,7,2,3,5,4] => 000101
[1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => [1,7,2,3,5,4,6] => 000101
[1,5,2,3,7,6,4] => [1,5,2,6,3,7,4] => [1,7,6,2,3,5,4] => 000111
[1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => [1,4,2,5,3,6,7] => 001100
[1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => [1,4,2,5,3,7,6] => 001101
[1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => [1,6,2,4,5,3,7] => 000110
[1,5,2,4,6,7,3] => [1,5,7,2,4,6,3] => [1,6,7,2,4,5,3] => 000101
[1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => [1,7,2,4,5,3,6] => 000101
[1,5,2,4,7,6,3] => [1,5,6,2,4,7,3] => [1,7,6,2,4,5,3] => 000111
[1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => [1,6,3,5,2,4,7] => 000110
[1,5,2,6,3,7,4] => [1,5,6,7,2,3,4] => [1,7,2,6,3,5,4] => 000111
[1,5,2,6,4,3,7] => [1,5,4,6,2,3,7] => [1,6,4,2,5,3,7] => 001110
[1,5,2,6,4,7,3] => [1,5,7,6,2,4,3] => [1,6,2,7,4,5,3] => 000111
[1,5,2,6,7,3,4] => [1,5,7,3,2,6,4] => [1,6,7,3,5,2,4] => 000101
[1,5,2,6,7,4,3] => [1,5,4,7,2,6,3] => [1,6,7,4,2,5,3] => 001101
[1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => [1,7,3,5,2,4,6] => 000101
[1,5,2,7,3,6,4] => [1,5,7,6,2,3,4] => [1,6,2,7,3,5,4] => 000111
[1,5,2,7,4,3,6] => [1,5,4,7,2,3,6] => [1,7,4,2,5,3,6] => 001101
[1,5,2,7,4,6,3] => [1,5,6,7,2,4,3] => [1,7,2,6,4,5,3] => 000111
[1,5,2,7,6,3,4] => [1,5,6,3,2,7,4] => [1,7,6,3,5,2,4] => 000111
[1,5,2,7,6,4,3] => [1,5,4,6,2,7,3] => [1,7,6,4,2,5,3] => 001111
[1,5,3,2,4,6,7] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => 010100
[1,5,3,2,4,7,6] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => 010101
[1,5,3,2,6,4,7] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => 010110
[1,5,3,2,6,7,4] => [1,3,5,7,2,6,4] => [1,6,7,3,2,5,4] => 010101
[1,5,3,2,7,4,6] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => 010101
[1,5,3,2,7,6,4] => [1,3,5,6,2,7,4] => [1,7,6,3,2,5,4] => 010111
[1,5,3,4,2,6,7] => [1,4,5,3,2,6,7] => [1,5,3,4,2,6,7] => 001100
[1,5,3,4,2,7,6] => [1,4,5,3,2,7,6] => [1,5,3,4,2,7,6] => 001101
[1,5,3,4,6,2,7] => [1,6,5,3,4,2,7] => [1,5,3,4,6,2,7] => 000110
[1,5,3,4,6,7,2] => [1,7,5,3,4,6,2] => [1,5,3,4,6,7,2] => 000101
[1,5,3,4,7,2,6] => [1,7,5,3,4,2,6] => [1,5,3,4,7,2,6] => 000101
[1,5,3,4,7,6,2] => [1,6,5,3,4,7,2] => [1,5,3,4,7,6,2] => 000111
[1,5,3,6,2,4,7] => [1,6,5,2,3,4,7] => [1,5,2,6,3,4,7] => 000110
[1,5,3,6,2,7,4] => [1,6,5,7,3,2,4] => [1,7,3,5,2,6,4] => 000111
[1,5,3,6,4,2,7] => [1,4,6,5,2,3,7] => [1,5,2,6,4,3,7] => 001110
[1,5,3,6,4,7,2] => [1,7,5,6,3,4,2] => [1,6,3,5,4,7,2] => 000111
[1,5,3,6,7,2,4] => [1,7,5,2,3,6,4] => [1,5,2,6,7,3,4] => 000101
[1,5,3,6,7,4,2] => [1,4,7,5,2,6,3] => [1,5,2,6,7,4,3] => 001101
[1,5,3,7,2,4,6] => [1,7,5,2,3,4,6] => [1,5,2,7,3,4,6] => 000101
[1,5,3,7,2,6,4] => [1,7,5,6,3,2,4] => [1,6,3,5,2,7,4] => 000111
[1,5,3,7,4,2,6] => [1,4,7,5,2,3,6] => [1,5,2,7,4,3,6] => 001101
[1,5,3,7,4,6,2] => [1,6,5,7,3,4,2] => [1,7,3,5,4,6,2] => 000111
[1,5,3,7,6,2,4] => [1,6,5,2,3,7,4] => [1,5,2,7,6,3,4] => 000111
[1,5,3,7,6,4,2] => [1,4,6,5,2,7,3] => [1,5,2,7,6,4,3] => 001111
[1,5,4,2,3,6,7] => [1,4,2,5,3,6,7] => [1,5,4,2,3,6,7] => 001100
[1,5,4,2,3,7,6] => [1,4,2,5,3,7,6] => [1,5,4,2,3,7,6] => 001101
[1,5,4,2,6,3,7] => [1,4,5,6,3,2,7] => [1,6,3,5,4,2,7] => 001110
[1,5,4,2,6,7,3] => [1,4,5,7,3,6,2] => [1,6,7,3,5,4,2] => 001101
[1,5,4,2,7,3,6] => [1,4,5,7,3,2,6] => [1,7,3,5,4,2,6] => 001101
[1,5,4,2,7,6,3] => [1,4,5,6,3,7,2] => [1,7,6,3,5,4,2] => 001111
[1,5,4,3,2,6,7] => [1,3,4,5,2,6,7] => [1,5,4,3,2,6,7] => 011100
[1,5,4,3,2,7,6] => [1,3,4,5,2,7,6] => [1,5,4,3,2,7,6] => 011101
[1,5,4,3,6,2,7] => [1,6,4,5,3,2,7] => [1,5,4,3,6,2,7] => 001110
[1,5,4,3,6,7,2] => [1,7,4,5,3,6,2] => [1,5,4,3,6,7,2] => 001101
[1,5,4,3,7,2,6] => [1,7,4,5,3,2,6] => [1,5,4,3,7,2,6] => 001101
[1,5,4,3,7,6,2] => [1,6,4,5,3,7,2] => [1,5,4,3,7,6,2] => 001111
[1,5,4,6,2,3,7] => [1,6,2,5,4,3,7] => [1,5,4,6,2,3,7] => 000110
[1,5,4,6,2,7,3] => [1,6,7,5,4,2,3] => [1,5,4,7,2,6,3] => 000111
[1,5,4,6,3,2,7] => [1,3,6,5,4,2,7] => [1,5,4,6,3,2,7] => 010110
[1,5,4,6,3,7,2] => [1,7,6,5,4,3,2] => [1,5,4,6,3,7,2] => 000111
[1,5,4,6,7,2,3] => [1,7,2,5,4,6,3] => [1,5,4,6,7,2,3] => 000101
[1,5,4,6,7,3,2] => [1,3,7,5,4,6,2] => [1,5,4,6,7,3,2] => 010101
[1,5,4,7,2,3,6] => [1,7,2,5,4,3,6] => [1,5,4,7,2,3,6] => 000101
[1,5,4,7,2,6,3] => [1,7,6,5,4,2,3] => [1,5,4,6,2,7,3] => 000111
[1,5,4,7,3,2,6] => [1,3,7,5,4,2,6] => [1,5,4,7,3,2,6] => 010101
[1,5,4,7,3,6,2] => [1,6,7,5,4,3,2] => [1,5,4,7,3,6,2] => 000111
[1,5,4,7,6,2,3] => [1,6,2,5,4,7,3] => [1,5,4,7,6,2,3] => 000111
[1,5,4,7,6,3,2] => [1,3,6,5,4,7,2] => [1,5,4,7,6,3,2] => 010111
[1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => [1,5,6,2,3,4,7] => 000010
[1,5,6,2,3,7,4] => [1,6,2,7,5,3,4] => [1,5,7,2,3,6,4] => 000011
[1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => [1,4,2,5,6,3,7] => 001010
[1,5,6,2,4,7,3] => [1,6,7,2,5,4,3] => [1,5,7,2,4,6,3] => 000011
[1,5,6,2,7,3,4] => [1,6,7,3,5,2,4] => [1,5,7,3,6,2,4] => 000011
[1,5,6,2,7,4,3] => [1,6,4,7,5,2,3] => [1,5,7,4,2,6,3] => 001011
[1,5,6,3,2,4,7] => [1,3,6,2,5,4,7] => [1,5,6,3,2,4,7] => 010010
[1,5,6,3,2,7,4] => [1,3,6,7,5,2,4] => [1,5,7,3,2,6,4] => 010011
[1,5,6,3,4,2,7] => [1,4,6,3,5,2,7] => [1,5,6,3,4,2,7] => 001010
[1,5,6,3,4,7,2] => [1,7,6,3,5,4,2] => [1,5,6,3,4,7,2] => 000011
[1,5,6,3,7,2,4] => [1,7,6,2,5,3,4] => [1,5,6,2,7,3,4] => 000011
[1,5,6,3,7,4,2] => [1,4,7,6,5,2,3] => [1,5,6,2,7,4,3] => 001011
[1,5,6,4,2,3,7] => [1,4,2,6,5,3,7] => [1,5,6,4,2,3,7] => 001010
[1,5,6,4,2,7,3] => [1,4,6,7,5,3,2] => [1,5,7,3,6,4,2] => 001011
[1,5,6,4,3,2,7] => [1,3,4,6,5,2,7] => [1,5,6,4,3,2,7] => 011010
[1,5,6,4,3,7,2] => [1,7,4,6,5,3,2] => [1,5,6,4,3,7,2] => 001011
[1,5,6,4,7,2,3] => [1,7,2,6,5,4,3] => [1,5,6,4,7,2,3] => 000011
[1,5,6,4,7,3,2] => [1,3,7,6,5,4,2] => [1,5,6,4,7,3,2] => 010011
[1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => [1,5,6,7,2,3,4] => 000001
[1,5,6,7,2,4,3] => [1,7,4,2,5,6,3] => [1,4,2,5,6,7,3] => 001001
[1,5,6,7,3,2,4] => [1,3,7,2,5,6,4] => [1,5,6,7,3,2,4] => 010001
[1,5,6,7,3,4,2] => [1,4,7,3,5,6,2] => [1,5,6,7,3,4,2] => 001001
[1,5,6,7,4,2,3] => [1,4,2,7,5,6,3] => [1,5,6,7,4,2,3] => 001001
[1,5,6,7,4,3,2] => [1,3,4,7,5,6,2] => [1,5,6,7,4,3,2] => 011001
[1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => [1,5,7,2,3,4,6] => 000001
[1,5,7,2,3,6,4] => [1,7,2,6,5,3,4] => [1,5,6,2,3,7,4] => 000011
[1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => [1,4,2,5,7,3,6] => 001001
[1,5,7,2,4,6,3] => [1,7,6,2,5,4,3] => [1,5,6,2,4,7,3] => 000011
[1,5,7,2,6,3,4] => [1,7,6,3,5,2,4] => [1,5,6,3,7,2,4] => 000011
[1,5,7,2,6,4,3] => [1,7,4,6,5,2,3] => [1,5,6,4,2,7,3] => 001011
[1,5,7,3,2,4,6] => [1,3,7,2,5,4,6] => [1,5,7,3,2,4,6] => 010001
[1,5,7,3,2,6,4] => [1,3,7,6,5,2,4] => [1,5,6,3,2,7,4] => 010011
[1,5,7,3,4,2,6] => [1,4,7,3,5,2,6] => [1,5,7,3,4,2,6] => 001001
[1,5,7,3,4,6,2] => [1,6,7,3,5,4,2] => [1,5,7,3,4,6,2] => 000011
[1,5,7,3,6,2,4] => [1,6,7,2,5,3,4] => [1,5,7,2,6,3,4] => 000011
[1,5,7,3,6,4,2] => [1,4,6,7,5,2,3] => [1,5,7,2,6,4,3] => 001011
[1,5,7,4,2,3,6] => [1,4,2,7,5,3,6] => [1,5,7,4,2,3,6] => 001001
[1,5,7,4,2,6,3] => [1,4,7,6,5,3,2] => [1,5,6,3,7,4,2] => 001011
[1,5,7,4,3,2,6] => [1,3,4,7,5,2,6] => [1,5,7,4,3,2,6] => 011001
[1,5,7,4,3,6,2] => [1,6,4,7,5,3,2] => [1,5,7,4,3,6,2] => 001011
[1,5,7,4,6,2,3] => [1,6,2,7,5,4,3] => [1,5,7,4,6,2,3] => 000011
[1,5,7,4,6,3,2] => [1,3,6,7,5,4,2] => [1,5,7,4,6,3,2] => 010011
[1,5,7,6,2,3,4] => [1,6,2,3,5,7,4] => [1,5,7,6,2,3,4] => 000011
[1,5,7,6,2,4,3] => [1,6,4,2,5,7,3] => [1,4,2,5,7,6,3] => 001011
[1,5,7,6,3,2,4] => [1,3,6,2,5,7,4] => [1,5,7,6,3,2,4] => 010011
[1,5,7,6,3,4,2] => [1,4,6,3,5,7,2] => [1,5,7,6,3,4,2] => 001011
[1,5,7,6,4,2,3] => [1,4,2,6,5,7,3] => [1,5,7,6,4,2,3] => 001011
[1,5,7,6,4,3,2] => [1,3,4,6,5,7,2] => [1,5,7,6,4,3,2] => 011011
[1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => 000010
[1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => [1,7,2,3,4,6,5] => 000011
[1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => [1,5,2,3,6,4,7] => 000110
[1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => [1,7,2,3,5,6,4] => 000011
[1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => [1,7,4,6,2,3,5] => 000011
[1,6,2,3,7,5,4] => [1,6,2,5,7,3,4] => [1,7,5,2,3,6,4] => 000111
[1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => [1,4,2,6,3,5,7] => 001010
[1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => [1,4,2,7,3,6,5] => 001011
[1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => [1,5,2,4,6,3,7] => 000110
[1,6,2,4,5,7,3] => [1,6,7,2,4,5,3] => [1,7,2,4,5,6,3] => 000011
[1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => [1,7,2,6,3,4,5] => 000011
[1,6,2,4,7,5,3] => [1,6,5,2,7,4,3] => [1,7,5,2,4,6,3] => 000111
[1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => [1,5,3,6,2,4,7] => 000110
[1,6,2,5,3,7,4] => [1,6,5,7,2,3,4] => [1,7,2,5,3,6,4] => 000111
[1,6,2,5,4,3,7] => [1,6,4,5,2,3,7] => [1,5,4,2,6,3,7] => 001110
[1,6,2,5,4,7,3] => [1,6,7,5,2,4,3] => [1,5,2,7,4,6,3] => 000111
[1,6,2,5,7,3,4] => [1,6,7,3,2,5,4] => [1,7,3,5,6,2,4] => 000011
[1,6,2,5,7,4,3] => [1,6,4,7,2,5,3] => [1,7,4,2,5,6,3] => 001011
[1,6,2,7,3,4,5] => [1,6,7,3,4,2,5] => [1,7,3,4,6,2,5] => 000011
[1,6,2,7,3,5,4] => [1,6,7,5,3,2,4] => [1,5,3,7,2,6,4] => 000111
[1,6,2,7,4,3,5] => [1,6,4,7,3,2,5] => [1,7,4,3,6,2,5] => 001011
[1,6,2,7,4,5,3] => [1,6,5,7,4,2,3] => [1,7,4,5,2,6,3] => 000111
[1,6,2,7,5,3,4] => [1,6,5,3,7,2,4] => [1,7,5,3,6,2,4] => 000111
[1,6,2,7,5,4,3] => [1,6,4,5,7,2,3] => [1,7,5,4,2,6,3] => 001111
[1,6,3,2,4,5,7] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => 010010
[1,6,3,2,4,7,5] => [1,3,6,2,7,4,5] => [1,7,3,2,4,6,5] => 010011
[1,6,3,2,5,4,7] => [1,3,6,5,2,4,7] => [1,5,3,2,6,4,7] => 010110
[1,6,3,2,5,7,4] => [1,3,6,7,2,5,4] => [1,7,3,2,5,6,4] => 010011
[1,6,3,2,7,4,5] => [1,3,6,7,4,2,5] => [1,7,4,6,3,2,5] => 010011
[1,6,3,2,7,5,4] => [1,3,6,5,7,2,4] => [1,7,5,3,2,6,4] => 010111
[1,6,3,4,2,5,7] => [1,4,6,3,2,5,7] => [1,6,3,4,2,5,7] => 001010
[1,6,3,4,2,7,5] => [1,4,6,3,7,2,5] => [1,7,3,4,2,6,5] => 001011
[1,6,3,4,5,2,7] => [1,5,6,3,4,2,7] => [1,6,3,4,5,2,7] => 000110
[1,6,3,4,5,7,2] => [1,7,6,3,4,5,2] => [1,6,3,4,5,7,2] => 000011
[1,6,3,4,7,2,5] => [1,7,6,3,2,4,5] => [1,6,3,7,2,4,5] => 000011
[1,6,3,4,7,5,2] => [1,5,7,2,6,4,3] => [1,6,2,4,7,5,3] => 000111
[1,6,3,5,2,4,7] => [1,5,6,2,3,4,7] => [1,6,2,5,3,4,7] => 000110
[1,6,3,5,2,7,4] => [1,5,6,7,3,2,4] => [1,7,3,6,2,5,4] => 000111
[1,6,3,5,4,2,7] => [1,4,5,6,2,3,7] => [1,6,2,5,4,3,7] => 001110
[1,6,3,5,4,7,2] => [1,7,6,5,3,4,2] => [1,5,3,6,4,7,2] => 000111
[1,6,3,5,7,2,4] => [1,7,6,2,3,5,4] => [1,6,2,5,7,3,4] => 000011
[1,6,3,5,7,4,2] => [1,4,7,6,2,5,3] => [1,6,2,5,7,4,3] => 001011
[1,6,3,7,2,4,5] => [1,7,6,2,4,3,5] => [1,6,2,4,7,3,5] => 000011
[1,6,3,7,2,5,4] => [1,7,6,5,2,3,4] => [1,5,2,6,3,7,4] => 000111
[1,6,3,7,4,2,5] => [1,4,7,6,3,2,5] => [1,6,3,7,4,2,5] => 001011
[1,6,3,7,4,5,2] => [1,5,6,7,4,3,2] => [1,7,4,6,3,5,2] => 000111
[1,6,3,7,5,2,4] => [1,5,7,3,6,2,4] => [1,6,3,7,5,2,4] => 000111
[1,6,3,7,5,4,2] => [1,4,5,7,6,3,2] => [1,6,3,7,5,4,2] => 001111
[1,6,4,2,3,5,7] => [1,4,2,6,3,5,7] => [1,6,4,2,3,5,7] => 001010
[1,6,4,2,3,7,5] => [1,4,2,6,7,3,5] => [1,7,4,2,3,6,5] => 001011
[1,6,4,2,5,3,7] => [1,4,6,5,3,2,7] => [1,5,3,6,4,2,7] => 001110
[1,6,4,2,5,7,3] => [1,4,6,7,3,5,2] => [1,7,3,5,6,4,2] => 001011
[1,6,4,2,7,3,5] => [1,4,6,7,2,3,5] => [1,7,2,6,4,3,5] => 001011
[1,6,4,2,7,5,3] => [1,4,6,5,7,3,2] => [1,7,5,3,6,4,2] => 001111
[1,6,4,3,2,5,7] => [1,3,4,6,2,5,7] => [1,6,4,3,2,5,7] => 011010
[1,6,4,3,2,7,5] => [1,3,4,6,7,2,5] => [1,7,4,3,2,6,5] => 011011
[1,6,4,3,5,2,7] => [1,5,4,6,3,2,7] => [1,6,4,3,5,2,7] => 001110
[1,6,4,3,5,7,2] => [1,7,4,6,3,5,2] => [1,6,4,3,5,7,2] => 001011
[1,6,4,3,7,2,5] => [1,7,4,6,2,3,5] => [1,6,4,2,7,3,5] => 001011
[1,6,4,3,7,5,2] => [1,5,4,7,6,2,3] => [1,6,4,2,7,5,3] => 001111
[1,6,4,5,2,3,7] => [1,5,2,6,4,3,7] => [1,6,4,5,2,3,7] => 000110
[1,6,4,5,2,7,3] => [1,5,7,6,4,2,3] => [1,6,4,7,2,5,3] => 000111
[1,6,4,5,3,2,7] => [1,3,5,6,4,2,7] => [1,6,4,5,3,2,7] => 010110
[1,6,4,5,3,7,2] => [1,7,5,6,4,3,2] => [1,6,4,5,3,7,2] => 000111
[1,6,4,5,7,2,3] => [1,7,2,6,4,5,3] => [1,6,4,5,7,2,3] => 000011
[1,6,4,5,7,3,2] => [1,3,7,6,4,5,2] => [1,6,4,5,7,3,2] => 010011
[1,6,4,7,2,3,5] => [1,7,2,6,3,4,5] => [1,6,2,3,7,4,5] => 000011
[1,6,4,7,2,5,3] => [1,7,5,6,2,4,3] => [1,6,2,5,4,7,3] => 000111
[1,6,4,7,3,2,5] => [1,3,7,6,2,4,5] => [1,6,3,2,7,4,5] => 010011
[1,6,4,7,3,5,2] => [1,5,7,6,3,4,2] => [1,6,3,7,4,5,2] => 000111
[1,6,4,7,5,2,3] => [1,5,2,7,6,3,4] => [1,6,2,3,7,5,4] => 000111
[1,6,4,7,5,3,2] => [1,3,5,7,6,2,4] => [1,6,3,2,7,5,4] => 010111
[1,6,5,2,3,4,7] => [1,5,2,3,6,4,7] => [1,6,5,2,3,4,7] => 000110
[1,6,5,2,3,7,4] => [1,5,2,6,7,4,3] => [1,7,4,6,5,2,3] => 000111
[1,6,5,2,4,3,7] => [1,5,4,2,6,3,7] => [1,4,2,6,5,3,7] => 001110
[1,6,5,2,4,7,3] => [1,5,6,3,7,4,2] => [1,7,3,4,6,5,2] => 000111
[1,6,5,2,7,3,4] => [1,5,6,2,7,3,4] => [1,7,2,6,5,3,4] => 000111
[1,6,5,2,7,4,3] => [1,5,4,6,7,3,2] => [1,7,4,3,6,5,2] => 001111
[1,6,5,3,2,4,7] => [1,3,5,2,6,4,7] => [1,6,5,3,2,4,7] => 010110
[1,6,5,3,2,7,4] => [1,3,5,6,7,4,2] => [1,7,4,6,5,3,2] => 010111
[1,6,5,3,4,2,7] => [1,4,5,3,6,2,7] => [1,6,5,3,4,2,7] => 001110
[1,6,5,3,4,7,2] => [1,7,5,3,6,4,2] => [1,6,5,3,4,7,2] => 000111
[1,6,5,3,7,2,4] => [1,7,5,2,6,3,4] => [1,6,5,2,7,3,4] => 000111
[1,6,5,3,7,4,2] => [1,4,7,5,6,2,3] => [1,6,5,2,7,4,3] => 001111
[1,6,5,4,2,3,7] => [1,4,2,5,6,3,7] => [1,6,5,4,2,3,7] => 001110
[1,6,5,4,2,7,3] => [1,4,5,6,7,2,3] => [1,7,2,6,5,4,3] => 001111
[1,6,5,4,3,2,7] => [1,3,4,5,6,2,7] => [1,6,5,4,3,2,7] => 011110
[1,6,5,4,3,7,2] => [1,7,4,5,6,3,2] => [1,6,5,4,3,7,2] => 001111
[1,6,5,4,7,2,3] => [1,7,2,5,6,4,3] => [1,6,5,4,7,2,3] => 000111
[1,6,5,4,7,3,2] => [1,3,7,5,6,4,2] => [1,6,5,4,7,3,2] => 010111
[1,6,5,7,2,3,4] => [1,7,2,3,6,5,4] => [1,6,5,7,2,3,4] => 000011
[1,6,5,7,2,4,3] => [1,7,4,2,6,5,3] => [1,4,2,6,5,7,3] => 001011
[1,6,5,7,3,2,4] => [1,3,7,2,6,5,4] => [1,6,5,7,3,2,4] => 010011
[1,6,5,7,3,4,2] => [1,4,7,3,6,5,2] => [1,6,5,7,3,4,2] => 001011
[1,6,5,7,4,2,3] => [1,4,2,7,6,5,3] => [1,6,5,7,4,2,3] => 001011
[1,6,5,7,4,3,2] => [1,3,4,7,6,5,2] => [1,6,5,7,4,3,2] => 011011
[1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => [1,6,7,2,3,4,5] => 000001
[1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => [1,5,2,3,6,7,4] => 000101
[1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => [1,4,2,6,7,3,5] => 001001
[1,6,7,2,4,5,3] => [1,7,5,2,4,6,3] => [1,5,2,4,6,7,3] => 000101
[1,6,7,2,5,3,4] => [1,7,5,3,2,6,4] => [1,5,3,6,7,2,4] => 000101
[1,6,7,2,5,4,3] => [1,7,4,5,2,6,3] => [1,5,4,2,6,7,3] => 001101
[1,6,7,3,2,4,5] => [1,3,7,2,4,6,5] => [1,6,7,3,2,4,5] => 010001
[1,6,7,3,2,5,4] => [1,3,7,5,2,6,4] => [1,5,3,2,6,7,4] => 010101
[1,6,7,3,4,2,5] => [1,4,7,3,2,6,5] => [1,6,7,3,4,2,5] => 001001
[1,6,7,3,4,5,2] => [1,5,7,3,4,6,2] => [1,6,7,3,4,5,2] => 000101
[1,6,7,3,5,2,4] => [1,5,7,2,3,6,4] => [1,6,7,2,5,3,4] => 000101
[1,6,7,3,5,4,2] => [1,4,5,7,2,6,3] => [1,6,7,2,5,4,3] => 001101
[1,6,7,4,2,3,5] => [1,4,2,7,3,6,5] => [1,6,7,4,2,3,5] => 001001
[1,6,7,4,2,5,3] => [1,4,7,5,3,6,2] => [1,5,3,6,7,4,2] => 001101
[1,6,7,4,3,2,5] => [1,3,4,7,2,6,5] => [1,6,7,4,3,2,5] => 011001
[1,6,7,4,3,5,2] => [1,5,4,7,3,6,2] => [1,6,7,4,3,5,2] => 001101
[1,6,7,4,5,2,3] => [1,5,2,7,4,6,3] => [1,6,7,4,5,2,3] => 000101
[1,6,7,4,5,3,2] => [1,3,5,7,4,6,2] => [1,6,7,4,5,3,2] => 010101
[1,6,7,5,2,3,4] => [1,5,2,3,7,6,4] => [1,6,7,5,2,3,4] => 000101
[1,6,7,5,2,4,3] => [1,5,4,2,7,6,3] => [1,4,2,6,7,5,3] => 001101
[1,6,7,5,3,2,4] => [1,3,5,2,7,6,4] => [1,6,7,5,3,2,4] => 010101
[1,6,7,5,3,4,2] => [1,4,5,3,7,6,2] => [1,6,7,5,3,4,2] => 001101
[1,6,7,5,4,2,3] => [1,4,2,5,7,6,3] => [1,6,7,5,4,2,3] => 001101
[1,6,7,5,4,3,2] => [1,3,4,5,7,6,2] => [1,6,7,5,4,3,2] => 011101
[1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => 000001
[1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => [1,6,2,3,4,7,5] => 000011
[1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => [1,5,2,3,7,4,6] => 000101
[1,7,2,3,5,6,4] => [1,7,2,6,3,5,4] => [1,6,2,3,5,7,4] => 000011
[1,7,2,3,6,4,5] => [1,7,2,6,4,3,5] => [1,6,4,7,2,3,5] => 000011
[1,7,2,3,6,5,4] => [1,7,2,5,6,3,4] => [1,6,5,2,3,7,4] => 000111
[1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => [1,4,2,7,3,5,6] => 001001
[1,7,2,4,3,6,5] => [1,7,4,2,6,3,5] => [1,4,2,6,3,7,5] => 001011
[1,7,2,4,5,3,6] => [1,7,5,2,4,3,6] => [1,5,2,4,7,3,6] => 000101
[1,7,2,4,5,6,3] => [1,7,6,2,4,5,3] => [1,6,2,4,5,7,3] => 000011
[1,7,2,4,6,3,5] => [1,7,6,2,3,4,5] => [1,6,2,7,3,4,5] => 000011
[1,7,2,4,6,5,3] => [1,7,5,2,6,4,3] => [1,6,5,2,4,7,3] => 000111
[1,7,2,5,3,4,6] => [1,7,5,3,2,4,6] => [1,5,3,7,2,4,6] => 000101
[1,7,2,5,3,6,4] => [1,7,5,6,2,3,4] => [1,6,2,5,3,7,4] => 000111
[1,7,2,5,4,3,6] => [1,7,4,5,2,3,6] => [1,5,4,2,7,3,6] => 001101
[1,7,2,5,4,6,3] => [1,7,6,5,2,4,3] => [1,5,2,6,4,7,3] => 000111
[1,7,2,5,6,3,4] => [1,7,6,3,2,5,4] => [1,6,3,5,7,2,4] => 000011
[1,7,2,5,6,4,3] => [1,7,4,6,2,5,3] => [1,6,4,2,5,7,3] => 001011
[1,7,2,6,3,4,5] => [1,7,6,3,4,2,5] => [1,6,3,4,7,2,5] => 000011
[1,7,2,6,3,5,4] => [1,7,6,5,3,2,4] => [1,5,3,6,2,7,4] => 000111
[1,7,2,6,4,3,5] => [1,7,4,6,3,2,5] => [1,6,4,3,7,2,5] => 001011
[1,7,2,6,4,5,3] => [1,7,5,6,4,2,3] => [1,6,4,5,2,7,3] => 000111
[1,7,2,6,5,3,4] => [1,7,5,3,6,2,4] => [1,6,5,3,7,2,4] => 000111
[1,7,2,6,5,4,3] => [1,7,4,5,6,2,3] => [1,6,5,4,2,7,3] => 001111
[1,7,3,2,4,5,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => 010001
[1,7,3,2,4,6,5] => [1,3,7,2,6,4,5] => [1,6,3,2,4,7,5] => 010011
[1,7,3,2,5,4,6] => [1,3,7,5,2,4,6] => [1,5,3,2,7,4,6] => 010101
[1,7,3,2,5,6,4] => [1,3,7,6,2,5,4] => [1,6,3,2,5,7,4] => 010011
[1,7,3,2,6,4,5] => [1,3,7,6,4,2,5] => [1,6,4,7,3,2,5] => 010011
[1,7,3,2,6,5,4] => [1,3,7,5,6,2,4] => [1,6,5,3,2,7,4] => 010111
[1,7,3,4,2,5,6] => [1,4,7,3,2,5,6] => [1,7,3,4,2,5,6] => 001001
[1,7,3,4,2,6,5] => [1,4,7,3,6,2,5] => [1,6,3,4,2,7,5] => 001011
[1,7,3,4,5,2,6] => [1,5,7,3,4,2,6] => [1,7,3,4,5,2,6] => 000101
[1,7,3,4,5,6,2] => [1,6,7,3,4,5,2] => [1,7,3,4,5,6,2] => 000011
[1,7,3,4,6,2,5] => [1,6,7,3,2,4,5] => [1,7,3,6,2,4,5] => 000011
[1,7,3,4,6,5,2] => [1,5,6,2,7,4,3] => [1,7,2,4,6,5,3] => 000111
[1,7,3,5,2,4,6] => [1,5,7,2,3,4,6] => [1,7,2,5,3,4,6] => 000101
[1,7,3,5,2,6,4] => [1,5,7,6,3,2,4] => [1,6,3,7,2,5,4] => 000111
[1,7,3,5,4,2,6] => [1,4,5,7,2,3,6] => [1,7,2,5,4,3,6] => 001101
[1,7,3,5,4,6,2] => [1,6,7,5,3,4,2] => [1,5,3,7,4,6,2] => 000111
[1,7,3,5,6,2,4] => [1,6,7,2,3,5,4] => [1,7,2,5,6,3,4] => 000011
[1,7,3,5,6,4,2] => [1,4,6,7,2,5,3] => [1,7,2,5,6,4,3] => 001011
[1,7,3,6,2,4,5] => [1,6,7,2,4,3,5] => [1,7,2,4,6,3,5] => 000011
[1,7,3,6,2,5,4] => [1,6,7,5,2,3,4] => [1,5,2,7,3,6,4] => 000111
[1,7,3,6,4,2,5] => [1,4,6,7,3,2,5] => [1,7,3,6,4,2,5] => 001011
[1,7,3,6,4,5,2] => [1,5,7,6,4,3,2] => [1,6,4,7,3,5,2] => 000111
[1,7,3,6,5,2,4] => [1,5,6,3,7,2,4] => [1,7,3,6,5,2,4] => 000111
[1,7,3,6,5,4,2] => [1,4,5,6,7,3,2] => [1,7,3,6,5,4,2] => 001111
[1,7,4,2,3,5,6] => [1,4,2,7,3,5,6] => [1,7,4,2,3,5,6] => 001001
[1,7,4,2,3,6,5] => [1,4,2,7,6,3,5] => [1,6,4,2,3,7,5] => 001011
[1,7,4,2,5,3,6] => [1,4,7,5,3,2,6] => [1,5,3,7,4,2,6] => 001101
[1,7,4,2,5,6,3] => [1,4,7,6,3,5,2] => [1,6,3,5,7,4,2] => 001011
[1,7,4,2,6,3,5] => [1,4,7,6,2,3,5] => [1,6,2,7,4,3,5] => 001011
[1,7,4,2,6,5,3] => [1,4,7,5,6,3,2] => [1,6,5,3,7,4,2] => 001111
[1,7,4,3,2,5,6] => [1,3,4,7,2,5,6] => [1,7,4,3,2,5,6] => 011001
[1,7,4,3,2,6,5] => [1,3,4,7,6,2,5] => [1,6,4,3,2,7,5] => 011011
[1,7,4,3,5,2,6] => [1,5,4,7,3,2,6] => [1,7,4,3,5,2,6] => 001101
[1,7,4,3,5,6,2] => [1,6,4,7,3,5,2] => [1,7,4,3,5,6,2] => 001011
[1,7,4,3,6,2,5] => [1,6,4,7,2,3,5] => [1,7,4,2,6,3,5] => 001011
[1,7,4,3,6,5,2] => [1,5,4,6,7,2,3] => [1,7,4,2,6,5,3] => 001111
[1,7,4,5,2,3,6] => [1,5,2,7,4,3,6] => [1,7,4,5,2,3,6] => 000101
[1,7,4,5,2,6,3] => [1,5,6,7,4,2,3] => [1,7,4,6,2,5,3] => 000111
[1,7,4,5,3,2,6] => [1,3,5,7,4,2,6] => [1,7,4,5,3,2,6] => 010101
[1,7,4,5,3,6,2] => [1,6,5,7,4,3,2] => [1,7,4,5,3,6,2] => 000111
[1,7,4,5,6,2,3] => [1,6,2,7,4,5,3] => [1,7,4,5,6,2,3] => 000011
[1,7,4,5,6,3,2] => [1,3,6,7,4,5,2] => [1,7,4,5,6,3,2] => 010011
[1,7,4,6,2,3,5] => [1,6,2,7,3,4,5] => [1,7,2,3,6,4,5] => 000011
[1,7,4,6,2,5,3] => [1,6,5,7,2,4,3] => [1,7,2,5,4,6,3] => 000111
[1,7,4,6,3,2,5] => [1,3,6,7,2,4,5] => [1,7,3,2,6,4,5] => 010011
[1,7,4,6,3,5,2] => [1,5,6,7,3,4,2] => [1,7,3,6,4,5,2] => 000111
[1,7,4,6,5,2,3] => [1,5,2,6,7,3,4] => [1,7,2,3,6,5,4] => 000111
[1,7,4,6,5,3,2] => [1,3,5,6,7,2,4] => [1,7,3,2,6,5,4] => 010111
[1,7,5,2,3,4,6] => [1,5,2,3,7,4,6] => [1,7,5,2,3,4,6] => 000101
[1,7,5,2,3,6,4] => [1,5,2,7,6,4,3] => [1,6,4,7,5,2,3] => 000111
[1,7,5,2,4,3,6] => [1,5,4,2,7,3,6] => [1,4,2,7,5,3,6] => 001101
[1,7,5,2,4,6,3] => [1,5,7,3,6,4,2] => [1,6,3,4,7,5,2] => 000111
[1,7,5,2,6,3,4] => [1,5,7,2,6,3,4] => [1,6,2,7,5,3,4] => 000111
[1,7,5,2,6,4,3] => [1,5,4,7,6,3,2] => [1,6,4,3,7,5,2] => 001111
[1,7,5,3,2,4,6] => [1,3,5,2,7,4,6] => [1,7,5,3,2,4,6] => 010101
[1,7,5,3,2,6,4] => [1,3,5,7,6,4,2] => [1,6,4,7,5,3,2] => 010111
[1,7,5,3,4,2,6] => [1,4,5,3,7,2,6] => [1,7,5,3,4,2,6] => 001101
[1,7,5,3,4,6,2] => [1,6,5,3,7,4,2] => [1,7,5,3,4,6,2] => 000111
[1,7,5,3,6,2,4] => [1,6,5,2,7,3,4] => [1,7,5,2,6,3,4] => 000111
[1,7,5,3,6,4,2] => [1,4,6,5,7,2,3] => [1,7,5,2,6,4,3] => 001111
[1,7,5,4,2,3,6] => [1,4,2,5,7,3,6] => [1,7,5,4,2,3,6] => 001101
[1,7,5,4,2,6,3] => [1,4,5,7,6,2,3] => [1,6,2,7,5,4,3] => 001111
[1,7,5,4,3,2,6] => [1,3,4,5,7,2,6] => [1,7,5,4,3,2,6] => 011101
[1,7,5,4,3,6,2] => [1,6,4,5,7,3,2] => [1,7,5,4,3,6,2] => 001111
[1,7,5,4,6,2,3] => [1,6,2,5,7,4,3] => [1,7,5,4,6,2,3] => 000111
[1,7,5,4,6,3,2] => [1,3,6,5,7,4,2] => [1,7,5,4,6,3,2] => 010111
[1,7,5,6,2,3,4] => [1,6,2,3,7,5,4] => [1,7,5,6,2,3,4] => 000011
[1,7,5,6,2,4,3] => [1,6,4,2,7,5,3] => [1,4,2,7,5,6,3] => 001011
[1,7,5,6,3,2,4] => [1,3,6,2,7,5,4] => [1,7,5,6,3,2,4] => 010011
[1,7,5,6,3,4,2] => [1,4,6,3,7,5,2] => [1,7,5,6,3,4,2] => 001011
[1,7,5,6,4,2,3] => [1,4,2,6,7,5,3] => [1,7,5,6,4,2,3] => 001011
[1,7,5,6,4,3,2] => [1,3,4,6,7,5,2] => [1,7,5,6,4,3,2] => 011011
[1,7,6,2,3,4,5] => [1,6,2,3,4,7,5] => [1,7,6,2,3,4,5] => 000011
[1,7,6,2,3,5,4] => [1,6,2,5,3,7,4] => [1,5,2,3,7,6,4] => 000111
[1,7,6,2,4,3,5] => [1,6,4,2,3,7,5] => [1,4,2,7,6,3,5] => 001011
[1,7,6,2,4,5,3] => [1,6,5,2,4,7,3] => [1,5,2,4,7,6,3] => 000111
[1,7,6,2,5,3,4] => [1,6,5,3,2,7,4] => [1,5,3,7,6,2,4] => 000111
[1,7,6,2,5,4,3] => [1,6,4,5,2,7,3] => [1,5,4,2,7,6,3] => 001111
[1,7,6,3,2,4,5] => [1,3,6,2,4,7,5] => [1,7,6,3,2,4,5] => 010011
[1,7,6,3,2,5,4] => [1,3,6,5,2,7,4] => [1,5,3,2,7,6,4] => 010111
[1,7,6,3,4,2,5] => [1,4,6,3,2,7,5] => [1,7,6,3,4,2,5] => 001011
[1,7,6,3,4,5,2] => [1,5,6,3,4,7,2] => [1,7,6,3,4,5,2] => 000111
[1,7,6,3,5,2,4] => [1,5,6,2,3,7,4] => [1,7,6,2,5,3,4] => 000111
[1,7,6,3,5,4,2] => [1,4,5,6,2,7,3] => [1,7,6,2,5,4,3] => 001111
[1,7,6,4,2,3,5] => [1,4,2,6,3,7,5] => [1,7,6,4,2,3,5] => 001011
[1,7,6,4,2,5,3] => [1,4,6,5,3,7,2] => [1,5,3,7,6,4,2] => 001111
[1,7,6,4,3,2,5] => [1,3,4,6,2,7,5] => [1,7,6,4,3,2,5] => 011011
[1,7,6,4,3,5,2] => [1,5,4,6,3,7,2] => [1,7,6,4,3,5,2] => 001111
[1,7,6,4,5,2,3] => [1,5,2,6,4,7,3] => [1,7,6,4,5,2,3] => 000111
[1,7,6,4,5,3,2] => [1,3,5,6,4,7,2] => [1,7,6,4,5,3,2] => 010111
[1,7,6,5,2,3,4] => [1,5,2,3,6,7,4] => [1,7,6,5,2,3,4] => 000111
[1,7,6,5,2,4,3] => [1,5,4,2,6,7,3] => [1,4,2,7,6,5,3] => 001111
[1,7,6,5,3,2,4] => [1,3,5,2,6,7,4] => [1,7,6,5,3,2,4] => 010111
[1,7,6,5,3,4,2] => [1,4,5,3,6,7,2] => [1,7,6,5,3,4,2] => 001111
[1,7,6,5,4,2,3] => [1,4,2,5,6,7,3] => [1,7,6,5,4,2,3] => 001111
[1,7,6,5,4,3,2] => [1,3,4,5,6,7,2] => [1,7,6,5,4,3,2] => 011111
[2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => 100000
[2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => 100001
[2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => 100010
[2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => 100001
[2,1,3,4,7,5,6] => [2,1,3,4,7,5,6] => [2,1,3,4,7,5,6] => 100001
[2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => 100011
[2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => 100100
[2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => 100101
[2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => 100010
[2,1,3,5,6,7,4] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => 100001
[2,1,3,5,7,4,6] => [2,1,3,7,5,4,6] => [2,1,3,5,7,4,6] => 100001
[2,1,3,5,7,6,4] => [2,1,3,6,5,7,4] => [2,1,3,5,7,6,4] => 100011
[2,1,3,6,4,5,7] => [2,1,3,6,4,5,7] => [2,1,3,6,4,5,7] => 100010
[2,1,3,6,4,7,5] => [2,1,3,6,7,4,5] => [2,1,3,7,4,6,5] => 100011
[2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => 100110
[2,1,3,6,5,7,4] => [2,1,3,7,6,5,4] => [2,1,3,6,5,7,4] => 100011
[2,1,3,6,7,4,5] => [2,1,3,7,4,6,5] => [2,1,3,6,7,4,5] => 100001
[2,1,3,6,7,5,4] => [2,1,3,5,7,6,4] => [2,1,3,6,7,5,4] => 100101
[2,1,3,7,4,5,6] => [2,1,3,7,4,5,6] => [2,1,3,7,4,5,6] => 100001
[2,1,3,7,4,6,5] => [2,1,3,7,6,4,5] => [2,1,3,6,4,7,5] => 100011
[2,1,3,7,5,4,6] => [2,1,3,5,7,4,6] => [2,1,3,7,5,4,6] => 100101
[2,1,3,7,5,6,4] => [2,1,3,6,7,5,4] => [2,1,3,7,5,6,4] => 100011
[2,1,3,7,6,4,5] => [2,1,3,6,4,7,5] => [2,1,3,7,6,4,5] => 100011
[2,1,3,7,6,5,4] => [2,1,3,5,6,7,4] => [2,1,3,7,6,5,4] => 100111
[2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => 101000
[2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => 101001
[2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => 101010
[2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => 101001
[2,1,4,3,7,5,6] => [2,1,4,3,7,5,6] => [2,1,4,3,7,5,6] => 101001
[2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => 101011
[2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => 100100
[2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => 100101
[2,1,4,5,6,3,7] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => 100010
[2,1,4,5,6,7,3] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => 100001
[2,1,4,5,7,3,6] => [2,1,7,4,5,3,6] => [2,1,4,5,7,3,6] => 100001
[2,1,4,5,7,6,3] => [2,1,6,4,5,7,3] => [2,1,4,5,7,6,3] => 100011
[2,1,4,6,3,5,7] => [2,1,6,4,3,5,7] => [2,1,4,6,3,5,7] => 100010
[2,1,4,6,3,7,5] => [2,1,6,4,7,3,5] => [2,1,4,7,3,6,5] => 100011
[2,1,4,6,5,3,7] => [2,1,5,4,6,3,7] => [2,1,4,6,5,3,7] => 100110
[2,1,4,6,5,7,3] => [2,1,7,4,6,5,3] => [2,1,4,6,5,7,3] => 100011
[2,1,4,6,7,3,5] => [2,1,7,4,3,6,5] => [2,1,4,6,7,3,5] => 100001
[2,1,4,6,7,5,3] => [2,1,5,4,7,6,3] => [2,1,4,6,7,5,3] => 100101
[2,1,4,7,3,5,6] => [2,1,7,4,3,5,6] => [2,1,4,7,3,5,6] => 100001
[2,1,4,7,3,6,5] => [2,1,7,4,6,3,5] => [2,1,4,6,3,7,5] => 100011
[2,1,4,7,5,3,6] => [2,1,5,4,7,3,6] => [2,1,4,7,5,3,6] => 100101
[2,1,4,7,5,6,3] => [2,1,6,4,7,5,3] => [2,1,4,7,5,6,3] => 100011
[2,1,4,7,6,3,5] => [2,1,6,4,3,7,5] => [2,1,4,7,6,3,5] => 100011
[2,1,4,7,6,5,3] => [2,1,5,4,6,7,3] => [2,1,4,7,6,5,3] => 100111
[2,1,5,3,4,6,7] => [2,1,5,3,4,6,7] => [2,1,5,3,4,6,7] => 100100
[2,1,5,3,4,7,6] => [2,1,5,3,4,7,6] => [2,1,5,3,4,7,6] => 100101
[2,1,5,3,6,4,7] => [2,1,5,6,3,4,7] => [2,1,6,3,5,4,7] => 100110
[2,1,5,3,6,7,4] => [2,1,5,7,3,6,4] => [2,1,6,7,3,5,4] => 100101
[2,1,5,3,7,4,6] => [2,1,5,7,3,4,6] => [2,1,7,3,5,4,6] => 100101
[2,1,5,3,7,6,4] => [2,1,5,6,3,7,4] => [2,1,7,6,3,5,4] => 100111
[2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => 101100
[2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => 101101
[2,1,5,4,6,3,7] => [2,1,6,5,4,3,7] => [2,1,5,4,6,3,7] => 100110
[2,1,5,4,6,7,3] => [2,1,7,5,4,6,3] => [2,1,5,4,6,7,3] => 100101
[2,1,5,4,7,3,6] => [2,1,7,5,4,3,6] => [2,1,5,4,7,3,6] => 100101
[2,1,5,4,7,6,3] => [2,1,6,5,4,7,3] => [2,1,5,4,7,6,3] => 100111
[2,1,5,6,3,4,7] => [2,1,6,3,5,4,7] => [2,1,5,6,3,4,7] => 100010
[2,1,5,6,3,7,4] => [2,1,6,7,5,3,4] => [2,1,5,7,3,6,4] => 100011
[2,1,5,6,4,3,7] => [2,1,4,6,5,3,7] => [2,1,5,6,4,3,7] => 101010
[2,1,5,6,4,7,3] => [2,1,7,6,5,4,3] => [2,1,5,6,4,7,3] => 100011
[2,1,5,6,7,3,4] => [2,1,7,3,5,6,4] => [2,1,5,6,7,3,4] => 100001
[2,1,5,6,7,4,3] => [2,1,4,7,5,6,3] => [2,1,5,6,7,4,3] => 101001
[2,1,5,7,3,4,6] => [2,1,7,3,5,4,6] => [2,1,5,7,3,4,6] => 100001
[2,1,5,7,3,6,4] => [2,1,7,6,5,3,4] => [2,1,5,6,3,7,4] => 100011
[2,1,5,7,4,3,6] => [2,1,4,7,5,3,6] => [2,1,5,7,4,3,6] => 101001
[2,1,5,7,4,6,3] => [2,1,6,7,5,4,3] => [2,1,5,7,4,6,3] => 100011
[2,1,5,7,6,3,4] => [2,1,6,3,5,7,4] => [2,1,5,7,6,3,4] => 100011
[2,1,5,7,6,4,3] => [2,1,4,6,5,7,3] => [2,1,5,7,6,4,3] => 101011
[2,1,6,3,4,5,7] => [2,1,6,3,4,5,7] => [2,1,6,3,4,5,7] => 100010
[2,1,6,3,4,7,5] => [2,1,6,3,7,4,5] => [2,1,7,3,4,6,5] => 100011
[2,1,6,3,5,4,7] => [2,1,6,5,3,4,7] => [2,1,5,3,6,4,7] => 100110
[2,1,6,3,5,7,4] => [2,1,6,7,3,5,4] => [2,1,7,3,5,6,4] => 100011
[2,1,6,3,7,4,5] => [2,1,6,7,4,3,5] => [2,1,7,4,6,3,5] => 100011
[2,1,6,3,7,5,4] => [2,1,6,5,7,3,4] => [2,1,7,5,3,6,4] => 100111
[2,1,6,4,3,5,7] => [2,1,4,6,3,5,7] => [2,1,6,4,3,5,7] => 101010
[2,1,6,4,3,7,5] => [2,1,4,6,7,3,5] => [2,1,7,4,3,6,5] => 101011
[2,1,6,4,5,3,7] => [2,1,5,6,4,3,7] => [2,1,6,4,5,3,7] => 100110
[2,1,6,4,5,7,3] => [2,1,7,6,4,5,3] => [2,1,6,4,5,7,3] => 100011
[2,1,6,4,7,3,5] => [2,1,7,6,3,4,5] => [2,1,6,3,7,4,5] => 100011
[2,1,6,4,7,5,3] => [2,1,5,7,6,3,4] => [2,1,6,3,7,5,4] => 100111
[2,1,6,5,3,4,7] => [2,1,5,3,6,4,7] => [2,1,6,5,3,4,7] => 100110
[2,1,6,5,3,7,4] => [2,1,5,6,7,4,3] => [2,1,7,4,6,5,3] => 100111
[2,1,6,5,4,3,7] => [2,1,4,5,6,3,7] => [2,1,6,5,4,3,7] => 101110
[2,1,6,5,4,7,3] => [2,1,7,5,6,4,3] => [2,1,6,5,4,7,3] => 100111
[2,1,6,5,7,3,4] => [2,1,7,3,6,5,4] => [2,1,6,5,7,3,4] => 100011
[2,1,6,5,7,4,3] => [2,1,4,7,6,5,3] => [2,1,6,5,7,4,3] => 101011
[2,1,6,7,3,4,5] => [2,1,7,3,4,6,5] => [2,1,6,7,3,4,5] => 100001
[2,1,6,7,3,5,4] => [2,1,7,5,3,6,4] => [2,1,5,3,6,7,4] => 100101
[2,1,6,7,4,3,5] => [2,1,4,7,3,6,5] => [2,1,6,7,4,3,5] => 101001
[2,1,6,7,4,5,3] => [2,1,5,7,4,6,3] => [2,1,6,7,4,5,3] => 100101
[2,1,6,7,5,3,4] => [2,1,5,3,7,6,4] => [2,1,6,7,5,3,4] => 100101
[2,1,6,7,5,4,3] => [2,1,4,5,7,6,3] => [2,1,6,7,5,4,3] => 101101
[2,1,7,3,4,5,6] => [2,1,7,3,4,5,6] => [2,1,7,3,4,5,6] => 100001
[2,1,7,3,4,6,5] => [2,1,7,3,6,4,5] => [2,1,6,3,4,7,5] => 100011
[2,1,7,3,5,4,6] => [2,1,7,5,3,4,6] => [2,1,5,3,7,4,6] => 100101
[2,1,7,3,5,6,4] => [2,1,7,6,3,5,4] => [2,1,6,3,5,7,4] => 100011
[2,1,7,3,6,4,5] => [2,1,7,6,4,3,5] => [2,1,6,4,7,3,5] => 100011
[2,1,7,3,6,5,4] => [2,1,7,5,6,3,4] => [2,1,6,5,3,7,4] => 100111
[2,1,7,4,3,5,6] => [2,1,4,7,3,5,6] => [2,1,7,4,3,5,6] => 101001
[2,1,7,4,3,6,5] => [2,1,4,7,6,3,5] => [2,1,6,4,3,7,5] => 101011
[2,1,7,4,5,3,6] => [2,1,5,7,4,3,6] => [2,1,7,4,5,3,6] => 100101
[2,1,7,4,5,6,3] => [2,1,6,7,4,5,3] => [2,1,7,4,5,6,3] => 100011
[2,1,7,4,6,3,5] => [2,1,6,7,3,4,5] => [2,1,7,3,6,4,5] => 100011
[2,1,7,4,6,5,3] => [2,1,5,6,7,3,4] => [2,1,7,3,6,5,4] => 100111
[2,1,7,5,3,4,6] => [2,1,5,3,7,4,6] => [2,1,7,5,3,4,6] => 100101
[2,1,7,5,3,6,4] => [2,1,5,7,6,4,3] => [2,1,6,4,7,5,3] => 100111
[2,1,7,5,4,3,6] => [2,1,4,5,7,3,6] => [2,1,7,5,4,3,6] => 101101
[2,1,7,5,4,6,3] => [2,1,6,5,7,4,3] => [2,1,7,5,4,6,3] => 100111
[2,1,7,5,6,3,4] => [2,1,6,3,7,5,4] => [2,1,7,5,6,3,4] => 100011
[2,1,7,5,6,4,3] => [2,1,4,6,7,5,3] => [2,1,7,5,6,4,3] => 101011
[2,1,7,6,3,4,5] => [2,1,6,3,4,7,5] => [2,1,7,6,3,4,5] => 100011
[2,1,7,6,3,5,4] => [2,1,6,5,3,7,4] => [2,1,5,3,7,6,4] => 100111
[2,1,7,6,4,3,5] => [2,1,4,6,3,7,5] => [2,1,7,6,4,3,5] => 101011
[2,1,7,6,4,5,3] => [2,1,5,6,4,7,3] => [2,1,7,6,4,5,3] => 100111
[2,1,7,6,5,3,4] => [2,1,5,3,6,7,4] => [2,1,7,6,5,3,4] => 100111
[2,1,7,6,5,4,3] => [2,1,4,5,6,7,3] => [2,1,7,6,5,4,3] => 101111
[2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => 010000
[2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => 010001
[2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => 010010
[2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => 010001
[2,3,1,4,7,5,6] => [3,2,1,4,7,5,6] => [2,3,1,4,7,5,6] => 010001
[2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => 010011
[2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => 010100
[2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => 010101
[2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => 010010
[2,3,1,5,6,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => 010001
[2,3,1,5,7,4,6] => [3,2,1,7,5,4,6] => [2,3,1,5,7,4,6] => 010001
[2,3,1,5,7,6,4] => [3,2,1,6,5,7,4] => [2,3,1,5,7,6,4] => 010011
[2,3,1,6,4,5,7] => [3,2,1,6,4,5,7] => [2,3,1,6,4,5,7] => 010010
[2,3,1,6,4,7,5] => [3,2,1,6,7,4,5] => [2,3,1,7,4,6,5] => 010011
[2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => 010110
[2,3,1,6,5,7,4] => [3,2,1,7,6,5,4] => [2,3,1,6,5,7,4] => 010011
[2,3,1,6,7,4,5] => [3,2,1,7,4,6,5] => [2,3,1,6,7,4,5] => 010001
[2,3,1,6,7,5,4] => [3,2,1,5,7,6,4] => [2,3,1,6,7,5,4] => 010101
[2,3,1,7,4,5,6] => [3,2,1,7,4,5,6] => [2,3,1,7,4,5,6] => 010001
[2,3,1,7,4,6,5] => [3,2,1,7,6,4,5] => [2,3,1,6,4,7,5] => 010011
[2,3,1,7,5,4,6] => [3,2,1,5,7,4,6] => [2,3,1,7,5,4,6] => 010101
[2,3,1,7,5,6,4] => [3,2,1,6,7,5,4] => [2,3,1,7,5,6,4] => 010011
[2,3,1,7,6,4,5] => [3,2,1,6,4,7,5] => [2,3,1,7,6,4,5] => 010011
[2,3,1,7,6,5,4] => [3,2,1,5,6,7,4] => [2,3,1,7,6,5,4] => 010111
[2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => 001000
[2,3,4,1,5,7,6] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => 001001
[2,3,4,1,6,5,7] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => 001010
[2,3,4,1,6,7,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => 001001
[2,3,4,1,7,5,6] => [4,2,3,1,7,5,6] => [2,3,4,1,7,5,6] => 001001
[2,3,4,1,7,6,5] => [4,2,3,1,6,7,5] => [2,3,4,1,7,6,5] => 001011
[2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => 000100
[2,3,4,5,1,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => 000101
[2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => 000010
[2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => 000001
[2,3,4,5,7,1,6] => [7,2,3,4,5,1,6] => [2,3,4,5,7,1,6] => 000001
[2,3,4,5,7,6,1] => [6,2,3,4,5,7,1] => [2,3,4,5,7,6,1] => 000011
[2,3,4,6,1,5,7] => [6,2,3,4,1,5,7] => [2,3,4,6,1,5,7] => 000010
[2,3,4,6,1,7,5] => [6,2,3,4,7,1,5] => [2,3,4,7,1,6,5] => 000011
[2,3,4,6,5,1,7] => [5,2,3,4,6,1,7] => [2,3,4,6,5,1,7] => 000110
[2,3,4,6,5,7,1] => [7,2,3,4,6,5,1] => [2,3,4,6,5,7,1] => 000011
[2,3,4,6,7,1,5] => [7,2,3,4,1,6,5] => [2,3,4,6,7,1,5] => 000001
[2,3,4,6,7,5,1] => [5,2,3,4,7,6,1] => [2,3,4,6,7,5,1] => 000101
[2,3,4,7,1,5,6] => [7,2,3,4,1,5,6] => [2,3,4,7,1,5,6] => 000001
[2,3,4,7,1,6,5] => [7,2,3,4,6,1,5] => [2,3,4,6,1,7,5] => 000011
[2,3,4,7,5,1,6] => [5,2,3,4,7,1,6] => [2,3,4,7,5,1,6] => 000101
[2,3,4,7,5,6,1] => [6,2,3,4,7,5,1] => [2,3,4,7,5,6,1] => 000011
[2,3,4,7,6,1,5] => [6,2,3,4,1,7,5] => [2,3,4,7,6,1,5] => 000011
[2,3,4,7,6,5,1] => [5,2,3,4,6,7,1] => [2,3,4,7,6,5,1] => 000111
[2,3,5,1,4,6,7] => [5,2,3,1,4,6,7] => [2,3,5,1,4,6,7] => 000100
[2,3,5,1,4,7,6] => [5,2,3,1,4,7,6] => [2,3,5,1,4,7,6] => 000101
[2,3,5,1,6,4,7] => [5,2,3,6,1,4,7] => [2,3,6,1,5,4,7] => 000110
[2,3,5,1,6,7,4] => [5,2,3,7,1,6,4] => [2,3,6,7,1,5,4] => 000101
[2,3,5,1,7,4,6] => [5,2,3,7,1,4,6] => [2,3,7,1,5,4,6] => 000101
[2,3,5,1,7,6,4] => [5,2,3,6,1,7,4] => [2,3,7,6,1,5,4] => 000111
[2,3,5,4,1,6,7] => [4,2,3,5,1,6,7] => [2,3,5,4,1,6,7] => 001100
[2,3,5,4,1,7,6] => [4,2,3,5,1,7,6] => [2,3,5,4,1,7,6] => 001101
[2,3,5,4,6,1,7] => [6,2,3,5,4,1,7] => [2,3,5,4,6,1,7] => 000110
[2,3,5,4,6,7,1] => [7,2,3,5,4,6,1] => [2,3,5,4,6,7,1] => 000101
[2,3,5,4,7,1,6] => [7,2,3,5,4,1,6] => [2,3,5,4,7,1,6] => 000101
[2,3,5,4,7,6,1] => [6,2,3,5,4,7,1] => [2,3,5,4,7,6,1] => 000111
[2,3,5,6,1,4,7] => [6,2,3,1,5,4,7] => [2,3,5,6,1,4,7] => 000010
[2,3,5,6,1,7,4] => [6,2,3,7,5,1,4] => [2,3,5,7,1,6,4] => 000011
[2,3,5,6,4,1,7] => [4,2,3,6,5,1,7] => [2,3,5,6,4,1,7] => 001010
[2,3,5,6,4,7,1] => [7,2,3,6,5,4,1] => [2,3,5,6,4,7,1] => 000011
[2,3,5,6,7,1,4] => [7,2,3,1,5,6,4] => [2,3,5,6,7,1,4] => 000001
[2,3,5,6,7,4,1] => [4,2,3,7,5,6,1] => [2,3,5,6,7,4,1] => 001001
[2,3,5,7,1,4,6] => [7,2,3,1,5,4,6] => [2,3,5,7,1,4,6] => 000001
[2,3,5,7,1,6,4] => [7,2,3,6,5,1,4] => [2,3,5,6,1,7,4] => 000011
[2,3,5,7,4,1,6] => [4,2,3,7,5,1,6] => [2,3,5,7,4,1,6] => 001001
[2,3,5,7,4,6,1] => [6,2,3,7,5,4,1] => [2,3,5,7,4,6,1] => 000011
[2,3,5,7,6,1,4] => [6,2,3,1,5,7,4] => [2,3,5,7,6,1,4] => 000011
[2,3,5,7,6,4,1] => [4,2,3,6,5,7,1] => [2,3,5,7,6,4,1] => 001011
[2,3,6,1,4,5,7] => [6,2,3,1,4,5,7] => [2,3,6,1,4,5,7] => 000010
[2,3,6,1,4,7,5] => [6,2,3,1,7,4,5] => [2,3,7,1,4,6,5] => 000011
[2,3,6,1,5,4,7] => [6,2,3,5,1,4,7] => [2,3,5,1,6,4,7] => 000110
[2,3,6,1,5,7,4] => [6,2,3,7,1,5,4] => [2,3,7,1,5,6,4] => 000011
[2,3,6,1,7,4,5] => [6,2,3,7,4,1,5] => [2,3,7,4,6,1,5] => 000011
[2,3,6,1,7,5,4] => [6,2,3,5,7,1,4] => [2,3,7,5,1,6,4] => 000111
[2,3,6,4,1,5,7] => [4,2,3,6,1,5,7] => [2,3,6,4,1,5,7] => 001010
[2,3,6,4,1,7,5] => [4,2,3,6,7,1,5] => [2,3,7,4,1,6,5] => 001011
[2,3,6,4,5,1,7] => [5,2,3,6,4,1,7] => [2,3,6,4,5,1,7] => 000110
[2,3,6,4,5,7,1] => [7,2,3,6,4,5,1] => [2,3,6,4,5,7,1] => 000011
[2,3,6,4,7,1,5] => [7,2,3,6,1,4,5] => [2,3,6,1,7,4,5] => 000011
[2,3,6,4,7,5,1] => [5,2,3,7,6,1,4] => [2,3,6,1,7,5,4] => 000111
[2,3,6,5,1,4,7] => [5,2,3,1,6,4,7] => [2,3,6,5,1,4,7] => 000110
[2,3,6,5,1,7,4] => [5,2,3,6,7,4,1] => [2,3,7,4,6,5,1] => 000111
[2,3,6,5,4,1,7] => [4,2,3,5,6,1,7] => [2,3,6,5,4,1,7] => 001110
[2,3,6,5,4,7,1] => [7,2,3,5,6,4,1] => [2,3,6,5,4,7,1] => 000111
[2,3,6,5,7,1,4] => [7,2,3,1,6,5,4] => [2,3,6,5,7,1,4] => 000011
[2,3,6,5,7,4,1] => [4,2,3,7,6,5,1] => [2,3,6,5,7,4,1] => 001011
[2,3,6,7,1,4,5] => [7,2,3,1,4,6,5] => [2,3,6,7,1,4,5] => 000001
[2,3,6,7,1,5,4] => [7,2,3,5,1,6,4] => [2,3,5,1,6,7,4] => 000101
[2,3,6,7,4,1,5] => [4,2,3,7,1,6,5] => [2,3,6,7,4,1,5] => 001001
[2,3,6,7,4,5,1] => [5,2,3,7,4,6,1] => [2,3,6,7,4,5,1] => 000101
[2,3,6,7,5,1,4] => [5,2,3,1,7,6,4] => [2,3,6,7,5,1,4] => 000101
[2,3,6,7,5,4,1] => [4,2,3,5,7,6,1] => [2,3,6,7,5,4,1] => 001101
[2,3,7,1,4,5,6] => [7,2,3,1,4,5,6] => [2,3,7,1,4,5,6] => 000001
[2,3,7,1,4,6,5] => [7,2,3,1,6,4,5] => [2,3,6,1,4,7,5] => 000011
[2,3,7,1,5,4,6] => [7,2,3,5,1,4,6] => [2,3,5,1,7,4,6] => 000101
[2,3,7,1,5,6,4] => [7,2,3,6,1,5,4] => [2,3,6,1,5,7,4] => 000011
[2,3,7,1,6,4,5] => [7,2,3,6,4,1,5] => [2,3,6,4,7,1,5] => 000011
[2,3,7,1,6,5,4] => [7,2,3,5,6,1,4] => [2,3,6,5,1,7,4] => 000111
[2,3,7,4,1,5,6] => [4,2,3,7,1,5,6] => [2,3,7,4,1,5,6] => 001001
[2,3,7,4,1,6,5] => [4,2,3,7,6,1,5] => [2,3,6,4,1,7,5] => 001011
[2,3,7,4,5,1,6] => [5,2,3,7,4,1,6] => [2,3,7,4,5,1,6] => 000101
[2,3,7,4,5,6,1] => [6,2,3,7,4,5,1] => [2,3,7,4,5,6,1] => 000011
[2,3,7,4,6,1,5] => [6,2,3,7,1,4,5] => [2,3,7,1,6,4,5] => 000011
[2,3,7,4,6,5,1] => [5,2,3,6,7,1,4] => [2,3,7,1,6,5,4] => 000111
[2,3,7,5,1,4,6] => [5,2,3,1,7,4,6] => [2,3,7,5,1,4,6] => 000101
[2,3,7,5,1,6,4] => [5,2,3,7,6,4,1] => [2,3,6,4,7,5,1] => 000111
[2,3,7,5,4,1,6] => [4,2,3,5,7,1,6] => [2,3,7,5,4,1,6] => 001101
[2,3,7,5,4,6,1] => [6,2,3,5,7,4,1] => [2,3,7,5,4,6,1] => 000111
[2,3,7,5,6,1,4] => [6,2,3,1,7,5,4] => [2,3,7,5,6,1,4] => 000011
[2,3,7,5,6,4,1] => [4,2,3,6,7,5,1] => [2,3,7,5,6,4,1] => 001011
[2,3,7,6,1,4,5] => [6,2,3,1,4,7,5] => [2,3,7,6,1,4,5] => 000011
[2,3,7,6,1,5,4] => [6,2,3,5,1,7,4] => [2,3,5,1,7,6,4] => 000111
[2,3,7,6,4,1,5] => [4,2,3,6,1,7,5] => [2,3,7,6,4,1,5] => 001011
[2,3,7,6,4,5,1] => [5,2,3,6,4,7,1] => [2,3,7,6,4,5,1] => 000111
[2,3,7,6,5,1,4] => [5,2,3,1,6,7,4] => [2,3,7,6,5,1,4] => 000111
[2,3,7,6,5,4,1] => [4,2,3,5,6,7,1] => [2,3,7,6,5,4,1] => 001111
[2,4,1,3,5,6,7] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => 001000
[2,4,1,3,5,7,6] => [4,2,1,3,5,7,6] => [2,4,1,3,5,7,6] => 001001
[2,4,1,3,6,5,7] => [4,2,1,3,6,5,7] => [2,4,1,3,6,5,7] => 001010
[2,4,1,3,6,7,5] => [4,2,1,3,7,6,5] => [2,4,1,3,6,7,5] => 001001
[2,4,1,3,7,5,6] => [4,2,1,3,7,5,6] => [2,4,1,3,7,5,6] => 001001
[2,4,1,3,7,6,5] => [4,2,1,3,6,7,5] => [2,4,1,3,7,6,5] => 001011
[2,4,1,5,3,6,7] => [4,2,5,1,3,6,7] => [2,5,1,4,3,6,7] => 001100
[2,4,1,5,3,7,6] => [4,2,5,1,3,7,6] => [2,5,1,4,3,7,6] => 001101
[2,4,1,5,6,3,7] => [4,2,6,1,5,3,7] => [2,5,6,1,4,3,7] => 001010
[2,4,1,5,6,7,3] => [4,2,7,1,5,6,3] => [2,5,6,7,1,4,3] => 001001
[2,4,1,5,7,3,6] => [4,2,7,1,5,3,6] => [2,5,7,1,4,3,6] => 001001
[2,4,1,5,7,6,3] => [4,2,6,1,5,7,3] => [2,5,7,6,1,4,3] => 001011
[2,4,1,6,3,5,7] => [4,2,6,1,3,5,7] => [2,6,1,4,3,5,7] => 001010
[2,4,1,6,3,7,5] => [4,2,6,1,7,3,5] => [2,7,1,4,3,6,5] => 001011
[2,4,1,6,5,3,7] => [4,2,5,1,6,3,7] => [2,6,5,1,4,3,7] => 001110
[2,4,1,6,5,7,3] => [4,2,7,1,6,5,3] => [2,6,5,7,1,4,3] => 001011
[2,4,1,6,7,3,5] => [4,2,7,1,3,6,5] => [2,6,7,1,4,3,5] => 001001
[2,4,1,6,7,5,3] => [4,2,5,1,7,6,3] => [2,6,7,5,1,4,3] => 001101
[2,4,1,7,3,5,6] => [4,2,7,1,3,5,6] => [2,7,1,4,3,5,6] => 001001
[2,4,1,7,3,6,5] => [4,2,7,1,6,3,5] => [2,6,1,4,3,7,5] => 001011
[2,4,1,7,5,3,6] => [4,2,5,1,7,3,6] => [2,7,5,1,4,3,6] => 001101
[2,4,1,7,5,6,3] => [4,2,6,1,7,5,3] => [2,7,5,6,1,4,3] => 001011
[2,4,1,7,6,3,5] => [4,2,6,1,3,7,5] => [2,7,6,1,4,3,5] => 001011
[2,4,1,7,6,5,3] => [4,2,5,1,6,7,3] => [2,7,6,5,1,4,3] => 001111
[2,4,3,1,5,6,7] => [3,2,4,1,5,6,7] => [2,4,3,1,5,6,7] => 011000
[2,4,3,1,5,7,6] => [3,2,4,1,5,7,6] => [2,4,3,1,5,7,6] => 011001
[2,4,3,1,6,5,7] => [3,2,4,1,6,5,7] => [2,4,3,1,6,5,7] => 011010
[2,4,3,1,6,7,5] => [3,2,4,1,7,6,5] => [2,4,3,1,6,7,5] => 011001
[2,4,3,1,7,5,6] => [3,2,4,1,7,5,6] => [2,4,3,1,7,5,6] => 011001
[2,4,3,1,7,6,5] => [3,2,4,1,6,7,5] => [2,4,3,1,7,6,5] => 011011
[2,4,3,5,1,6,7] => [5,2,4,3,1,6,7] => [2,4,3,5,1,6,7] => 001100
[2,4,3,5,1,7,6] => [5,2,4,3,1,7,6] => [2,4,3,5,1,7,6] => 001101
[2,4,3,5,6,1,7] => [6,2,4,3,5,1,7] => [2,4,3,5,6,1,7] => 001010
[2,4,3,5,6,7,1] => [7,2,4,3,5,6,1] => [2,4,3,5,6,7,1] => 001001
[2,4,3,5,7,1,6] => [7,2,4,3,5,1,6] => [2,4,3,5,7,1,6] => 001001
[2,4,3,5,7,6,1] => [6,2,4,3,5,7,1] => [2,4,3,5,7,6,1] => 001011
[2,4,3,6,1,5,7] => [6,2,4,3,1,5,7] => [2,4,3,6,1,5,7] => 001010
[2,4,3,6,1,7,5] => [6,2,4,3,7,1,5] => [2,4,3,7,1,6,5] => 001011
[2,4,3,6,5,1,7] => [5,2,4,3,6,1,7] => [2,4,3,6,5,1,7] => 001110
[2,4,3,6,5,7,1] => [7,2,4,3,6,5,1] => [2,4,3,6,5,7,1] => 001011
[2,4,3,6,7,1,5] => [7,2,4,3,1,6,5] => [2,4,3,6,7,1,5] => 001001
[2,4,3,6,7,5,1] => [5,2,4,3,7,6,1] => [2,4,3,6,7,5,1] => 001101
[2,4,3,7,1,5,6] => [7,2,4,3,1,5,6] => [2,4,3,7,1,5,6] => 001001
[2,4,3,7,1,6,5] => [7,2,4,3,6,1,5] => [2,4,3,6,1,7,5] => 001011
[2,4,3,7,5,1,6] => [5,2,4,3,7,1,6] => [2,4,3,7,5,1,6] => 001101
[2,4,3,7,5,6,1] => [6,2,4,3,7,5,1] => [2,4,3,7,5,6,1] => 001011
[2,4,3,7,6,1,5] => [6,2,4,3,1,7,5] => [2,4,3,7,6,1,5] => 001011
[2,4,3,7,6,5,1] => [5,2,4,3,6,7,1] => [2,4,3,7,6,5,1] => 001111
[2,4,5,1,3,6,7] => [5,2,1,4,3,6,7] => [2,4,5,1,3,6,7] => 000100
[2,4,5,1,3,7,6] => [5,2,1,4,3,7,6] => [2,4,5,1,3,7,6] => 000101
[2,4,5,1,6,3,7] => [5,2,6,4,1,3,7] => [2,4,6,1,5,3,7] => 000110
[2,4,5,1,6,7,3] => [5,2,7,4,1,6,3] => [2,4,6,7,1,5,3] => 000101
[2,4,5,1,7,3,6] => [5,2,7,4,1,3,6] => [2,4,7,1,5,3,6] => 000101
[2,4,5,1,7,6,3] => [5,2,6,4,1,7,3] => [2,4,7,6,1,5,3] => 000111
[2,4,5,3,1,6,7] => [3,2,5,4,1,6,7] => [2,4,5,3,1,6,7] => 010100
[2,4,5,3,1,7,6] => [3,2,5,4,1,7,6] => [2,4,5,3,1,7,6] => 010101
[2,4,5,3,6,1,7] => [6,2,5,4,3,1,7] => [2,4,5,3,6,1,7] => 000110
[2,4,5,3,6,7,1] => [7,2,5,4,3,6,1] => [2,4,5,3,6,7,1] => 000101
[2,4,5,3,7,1,6] => [7,2,5,4,3,1,6] => [2,4,5,3,7,1,6] => 000101
[2,4,5,3,7,6,1] => [6,2,5,4,3,7,1] => [2,4,5,3,7,6,1] => 000111
[2,4,5,6,1,3,7] => [6,2,1,4,5,3,7] => [2,4,5,6,1,3,7] => 000010
[2,4,5,6,1,7,3] => [6,2,7,4,5,1,3] => [2,4,5,7,1,6,3] => 000011
[2,4,5,6,3,1,7] => [3,2,6,4,5,1,7] => [2,4,5,6,3,1,7] => 010010
[2,4,5,6,3,7,1] => [7,2,6,4,5,3,1] => [2,4,5,6,3,7,1] => 000011
[2,4,5,6,7,1,3] => [7,2,1,4,5,6,3] => [2,4,5,6,7,1,3] => 000001
[2,4,5,6,7,3,1] => [3,2,7,4,5,6,1] => [2,4,5,6,7,3,1] => 010001
[2,4,5,7,1,3,6] => [7,2,1,4,5,3,6] => [2,4,5,7,1,3,6] => 000001
[2,4,5,7,1,6,3] => [7,2,6,4,5,1,3] => [2,4,5,6,1,7,3] => 000011
[2,4,5,7,3,1,6] => [3,2,7,4,5,1,6] => [2,4,5,7,3,1,6] => 010001
[2,4,5,7,3,6,1] => [6,2,7,4,5,3,1] => [2,4,5,7,3,6,1] => 000011
[2,4,5,7,6,1,3] => [6,2,1,4,5,7,3] => [2,4,5,7,6,1,3] => 000011
[2,4,5,7,6,3,1] => [3,2,6,4,5,7,1] => [2,4,5,7,6,3,1] => 010011
[2,4,6,1,3,5,7] => [6,2,1,4,3,5,7] => [2,4,6,1,3,5,7] => 000010
[2,4,6,1,3,7,5] => [6,2,1,4,7,3,5] => [2,4,7,1,3,6,5] => 000011
[2,4,6,1,5,3,7] => [6,2,5,4,1,3,7] => [2,4,5,1,6,3,7] => 000110
[2,4,6,1,5,7,3] => [6,2,7,4,1,5,3] => [2,4,7,1,5,6,3] => 000011
[2,4,6,1,7,3,5] => [6,2,7,4,3,1,5] => [2,4,7,3,6,1,5] => 000011
[2,4,6,1,7,5,3] => [6,2,5,4,7,1,3] => [2,4,7,5,1,6,3] => 000111
[2,4,6,3,1,5,7] => [3,2,6,4,1,5,7] => [2,4,6,3,1,5,7] => 010010
[2,4,6,3,1,7,5] => [3,2,6,4,7,1,5] => [2,4,7,3,1,6,5] => 010011
[2,4,6,3,5,1,7] => [5,2,6,4,3,1,7] => [2,4,6,3,5,1,7] => 000110
[2,4,6,3,5,7,1] => [7,2,6,4,3,5,1] => [2,4,6,3,5,7,1] => 000011
[2,4,6,3,7,1,5] => [7,2,6,4,1,3,5] => [2,4,6,1,7,3,5] => 000011
[2,4,6,3,7,5,1] => [5,2,7,4,6,1,3] => [2,4,6,1,7,5,3] => 000111
[2,4,6,5,1,3,7] => [5,2,1,4,6,3,7] => [2,4,6,5,1,3,7] => 000110
[2,4,6,5,1,7,3] => [5,2,6,4,7,3,1] => [2,4,7,3,6,5,1] => 000111
[2,4,6,5,3,1,7] => [3,2,5,4,6,1,7] => [2,4,6,5,3,1,7] => 010110
[2,4,6,5,3,7,1] => [7,2,5,4,6,3,1] => [2,4,6,5,3,7,1] => 000111
[2,4,6,5,7,1,3] => [7,2,1,4,6,5,3] => [2,4,6,5,7,1,3] => 000011
[2,4,6,5,7,3,1] => [3,2,7,4,6,5,1] => [2,4,6,5,7,3,1] => 010011
[2,4,6,7,1,3,5] => [7,2,1,4,3,6,5] => [2,4,6,7,1,3,5] => 000001
[2,4,6,7,1,5,3] => [7,2,5,4,1,6,3] => [2,4,5,1,6,7,3] => 000101
[2,4,6,7,3,1,5] => [3,2,7,4,1,6,5] => [2,4,6,7,3,1,5] => 010001
[2,4,6,7,3,5,1] => [5,2,7,4,3,6,1] => [2,4,6,7,3,5,1] => 000101
[2,4,6,7,5,1,3] => [5,2,1,4,7,6,3] => [2,4,6,7,5,1,3] => 000101
[2,4,6,7,5,3,1] => [3,2,5,4,7,6,1] => [2,4,6,7,5,3,1] => 010101
[2,4,7,1,3,5,6] => [7,2,1,4,3,5,6] => [2,4,7,1,3,5,6] => 000001
[2,4,7,1,3,6,5] => [7,2,1,4,6,3,5] => [2,4,6,1,3,7,5] => 000011
[2,4,7,1,5,3,6] => [7,2,5,4,1,3,6] => [2,4,5,1,7,3,6] => 000101
[2,4,7,1,5,6,3] => [7,2,6,4,1,5,3] => [2,4,6,1,5,7,3] => 000011
[2,4,7,1,6,3,5] => [7,2,6,4,3,1,5] => [2,4,6,3,7,1,5] => 000011
[2,4,7,1,6,5,3] => [7,2,5,4,6,1,3] => [2,4,6,5,1,7,3] => 000111
[2,4,7,3,1,5,6] => [3,2,7,4,1,5,6] => [2,4,7,3,1,5,6] => 010001
[2,4,7,3,1,6,5] => [3,2,7,4,6,1,5] => [2,4,6,3,1,7,5] => 010011
[2,4,7,3,5,1,6] => [5,2,7,4,3,1,6] => [2,4,7,3,5,1,6] => 000101
[2,4,7,3,5,6,1] => [6,2,7,4,3,5,1] => [2,4,7,3,5,6,1] => 000011
[2,4,7,3,6,1,5] => [6,2,7,4,1,3,5] => [2,4,7,1,6,3,5] => 000011
[2,4,7,3,6,5,1] => [5,2,6,4,7,1,3] => [2,4,7,1,6,5,3] => 000111
[2,4,7,5,1,3,6] => [5,2,1,4,7,3,6] => [2,4,7,5,1,3,6] => 000101
[2,4,7,5,1,6,3] => [5,2,7,4,6,3,1] => [2,4,6,3,7,5,1] => 000111
[2,4,7,5,3,1,6] => [3,2,5,4,7,1,6] => [2,4,7,5,3,1,6] => 010101
[2,4,7,5,3,6,1] => [6,2,5,4,7,3,1] => [2,4,7,5,3,6,1] => 000111
[2,4,7,5,6,1,3] => [6,2,1,4,7,5,3] => [2,4,7,5,6,1,3] => 000011
[2,4,7,5,6,3,1] => [3,2,6,4,7,5,1] => [2,4,7,5,6,3,1] => 010011
[2,4,7,6,1,3,5] => [6,2,1,4,3,7,5] => [2,4,7,6,1,3,5] => 000011
[2,4,7,6,1,5,3] => [6,2,5,4,1,7,3] => [2,4,5,1,7,6,3] => 000111
[2,4,7,6,3,1,5] => [3,2,6,4,1,7,5] => [2,4,7,6,3,1,5] => 010011
[2,4,7,6,3,5,1] => [5,2,6,4,3,7,1] => [2,4,7,6,3,5,1] => 000111
[2,4,7,6,5,1,3] => [5,2,1,4,6,7,3] => [2,4,7,6,5,1,3] => 000111
[2,4,7,6,5,3,1] => [3,2,5,4,6,7,1] => [2,4,7,6,5,3,1] => 010111
[2,5,1,3,4,6,7] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => 000100
[2,5,1,3,4,7,6] => [5,2,1,3,4,7,6] => [2,5,1,3,4,7,6] => 000101
[2,5,1,3,6,4,7] => [5,2,1,6,3,4,7] => [2,6,1,3,5,4,7] => 000110
[2,5,1,3,6,7,4] => [5,2,1,7,3,6,4] => [2,6,7,1,3,5,4] => 000101
[2,5,1,3,7,4,6] => [5,2,1,7,3,4,6] => [2,7,1,3,5,4,6] => 000101
[2,5,1,3,7,6,4] => [5,2,1,6,3,7,4] => [2,7,6,1,3,5,4] => 000111
[2,5,1,4,3,6,7] => [5,2,4,1,3,6,7] => [2,4,1,5,3,6,7] => 001100
[2,5,1,4,3,7,6] => [5,2,4,1,3,7,6] => [2,4,1,5,3,7,6] => 001101
[2,5,1,4,6,3,7] => [5,2,6,1,4,3,7] => [2,6,1,4,5,3,7] => 000110
[2,5,1,4,6,7,3] => [5,2,7,1,4,6,3] => [2,6,7,1,4,5,3] => 000101
[2,5,1,4,7,3,6] => [5,2,7,1,4,3,6] => [2,7,1,4,5,3,6] => 000101
[2,5,1,4,7,6,3] => [5,2,6,1,4,7,3] => [2,7,6,1,4,5,3] => 000111
[2,5,1,6,3,4,7] => [5,2,6,3,1,4,7] => [2,6,3,5,1,4,7] => 000110
[2,5,1,6,3,7,4] => [5,2,6,7,1,3,4] => [2,7,1,6,3,5,4] => 000111
[2,5,1,6,4,3,7] => [5,2,4,6,1,3,7] => [2,6,4,1,5,3,7] => 001110
[2,5,1,6,4,7,3] => [5,2,7,6,1,4,3] => [2,6,1,7,4,5,3] => 000111
[2,5,1,6,7,3,4] => [5,2,7,3,1,6,4] => [2,6,7,3,5,1,4] => 000101
[2,5,1,6,7,4,3] => [5,2,4,7,1,6,3] => [2,6,7,4,1,5,3] => 001101
[2,5,1,7,3,4,6] => [5,2,7,3,1,4,6] => [2,7,3,5,1,4,6] => 000101
[2,5,1,7,3,6,4] => [5,2,7,6,1,3,4] => [2,6,1,7,3,5,4] => 000111
[2,5,1,7,4,3,6] => [5,2,4,7,1,3,6] => [2,7,4,1,5,3,6] => 001101
[2,5,1,7,4,6,3] => [5,2,6,7,1,4,3] => [2,7,1,6,4,5,3] => 000111
[2,5,1,7,6,3,4] => [5,2,6,3,1,7,4] => [2,7,6,3,5,1,4] => 000111
[2,5,1,7,6,4,3] => [5,2,4,6,1,7,3] => [2,7,6,4,1,5,3] => 001111
[2,5,3,1,4,6,7] => [3,2,5,1,4,6,7] => [2,5,3,1,4,6,7] => 010100
[2,5,3,1,4,7,6] => [3,2,5,1,4,7,6] => [2,5,3,1,4,7,6] => 010101
[2,5,3,1,6,4,7] => [3,2,5,6,1,4,7] => [2,6,3,1,5,4,7] => 010110
[2,5,3,1,6,7,4] => [3,2,5,7,1,6,4] => [2,6,7,3,1,5,4] => 010101
[2,5,3,1,7,4,6] => [3,2,5,7,1,4,6] => [2,7,3,1,5,4,6] => 010101
[2,5,3,1,7,6,4] => [3,2,5,6,1,7,4] => [2,7,6,3,1,5,4] => 010111
[2,5,3,4,1,6,7] => [4,2,5,3,1,6,7] => [2,5,3,4,1,6,7] => 001100
[2,5,3,4,1,7,6] => [4,2,5,3,1,7,6] => [2,5,3,4,1,7,6] => 001101
[2,5,3,4,6,1,7] => [6,2,5,3,4,1,7] => [2,5,3,4,6,1,7] => 000110
[2,5,3,4,6,7,1] => [7,2,5,3,4,6,1] => [2,5,3,4,6,7,1] => 000101
[2,5,3,4,7,1,6] => [7,2,5,3,4,1,6] => [2,5,3,4,7,1,6] => 000101
[2,5,3,4,7,6,1] => [6,2,5,3,4,7,1] => [2,5,3,4,7,6,1] => 000111
[2,5,3,6,1,4,7] => [6,2,5,1,3,4,7] => [2,5,1,6,3,4,7] => 000110
[2,5,3,6,1,7,4] => [6,2,5,7,3,1,4] => [2,7,3,5,1,6,4] => 000111
[2,5,3,6,4,1,7] => [4,2,6,5,1,3,7] => [2,5,1,6,4,3,7] => 001110
[2,5,3,6,4,7,1] => [7,2,5,6,3,4,1] => [2,6,3,5,4,7,1] => 000111
[2,5,3,6,7,1,4] => [7,2,5,1,3,6,4] => [2,5,1,6,7,3,4] => 000101
[2,5,3,6,7,4,1] => [4,2,7,5,1,6,3] => [2,5,1,6,7,4,3] => 001101
[2,5,3,7,1,4,6] => [7,2,5,1,3,4,6] => [2,5,1,7,3,4,6] => 000101
[2,5,3,7,1,6,4] => [7,2,5,6,3,1,4] => [2,6,3,5,1,7,4] => 000111
[2,5,3,7,4,1,6] => [4,2,7,5,1,3,6] => [2,5,1,7,4,3,6] => 001101
[2,5,3,7,4,6,1] => [6,2,5,7,3,4,1] => [2,7,3,5,4,6,1] => 000111
[2,5,3,7,6,1,4] => [6,2,5,1,3,7,4] => [2,5,1,7,6,3,4] => 000111
[2,5,3,7,6,4,1] => [4,2,6,5,1,7,3] => [2,5,1,7,6,4,3] => 001111
[2,5,4,1,3,6,7] => [4,2,1,5,3,6,7] => [2,5,4,1,3,6,7] => 001100
[2,5,4,1,3,7,6] => [4,2,1,5,3,7,6] => [2,5,4,1,3,7,6] => 001101
[2,5,4,1,6,3,7] => [4,2,5,6,3,1,7] => [2,6,3,5,4,1,7] => 001110
[2,5,4,1,6,7,3] => [4,2,5,7,3,6,1] => [2,6,7,3,5,4,1] => 001101
[2,5,4,1,7,3,6] => [4,2,5,7,3,1,6] => [2,7,3,5,4,1,6] => 001101
[2,5,4,1,7,6,3] => [4,2,5,6,3,7,1] => [2,7,6,3,5,4,1] => 001111
[2,5,4,3,1,6,7] => [3,2,4,5,1,6,7] => [2,5,4,3,1,6,7] => 011100
[2,5,4,3,1,7,6] => [3,2,4,5,1,7,6] => [2,5,4,3,1,7,6] => 011101
[2,5,4,3,6,1,7] => [6,2,4,5,3,1,7] => [2,5,4,3,6,1,7] => 001110
[2,5,4,3,6,7,1] => [7,2,4,5,3,6,1] => [2,5,4,3,6,7,1] => 001101
[2,5,4,3,7,1,6] => [7,2,4,5,3,1,6] => [2,5,4,3,7,1,6] => 001101
[2,5,4,3,7,6,1] => [6,2,4,5,3,7,1] => [2,5,4,3,7,6,1] => 001111
[2,5,4,6,1,3,7] => [6,2,1,5,4,3,7] => [2,5,4,6,1,3,7] => 000110
[2,5,4,6,1,7,3] => [6,2,7,5,4,1,3] => [2,5,4,7,1,6,3] => 000111
[2,5,4,6,3,1,7] => [3,2,6,5,4,1,7] => [2,5,4,6,3,1,7] => 010110
[2,5,4,6,3,7,1] => [7,2,6,5,4,3,1] => [2,5,4,6,3,7,1] => 000111
[2,5,4,6,7,1,3] => [7,2,1,5,4,6,3] => [2,5,4,6,7,1,3] => 000101
[2,5,4,6,7,3,1] => [3,2,7,5,4,6,1] => [2,5,4,6,7,3,1] => 010101
[2,5,4,7,1,3,6] => [7,2,1,5,4,3,6] => [2,5,4,7,1,3,6] => 000101
[2,5,4,7,1,6,3] => [7,2,6,5,4,1,3] => [2,5,4,6,1,7,3] => 000111
[2,5,4,7,3,1,6] => [3,2,7,5,4,1,6] => [2,5,4,7,3,1,6] => 010101
[2,5,4,7,3,6,1] => [6,2,7,5,4,3,1] => [2,5,4,7,3,6,1] => 000111
[2,5,4,7,6,1,3] => [6,2,1,5,4,7,3] => [2,5,4,7,6,1,3] => 000111
[2,5,4,7,6,3,1] => [3,2,6,5,4,7,1] => [2,5,4,7,6,3,1] => 010111
[2,5,6,1,3,4,7] => [6,2,1,3,5,4,7] => [2,5,6,1,3,4,7] => 000010
[2,5,6,1,3,7,4] => [6,2,1,7,5,3,4] => [2,5,7,1,3,6,4] => 000011
[2,5,6,1,4,3,7] => [6,2,4,1,5,3,7] => [2,4,1,5,6,3,7] => 001010
[2,5,6,1,4,7,3] => [6,2,7,1,5,4,3] => [2,5,7,1,4,6,3] => 000011
[2,5,6,1,7,3,4] => [6,2,7,3,5,1,4] => [2,5,7,3,6,1,4] => 000011
[2,5,6,1,7,4,3] => [6,2,4,7,5,1,3] => [2,5,7,4,1,6,3] => 001011
[2,5,6,3,1,4,7] => [3,2,6,1,5,4,7] => [2,5,6,3,1,4,7] => 010010
[2,5,6,3,1,7,4] => [3,2,6,7,5,1,4] => [2,5,7,3,1,6,4] => 010011
[2,5,6,3,4,1,7] => [4,2,6,3,5,1,7] => [2,5,6,3,4,1,7] => 001010
[2,5,6,3,4,7,1] => [7,2,6,3,5,4,1] => [2,5,6,3,4,7,1] => 000011
[2,5,6,3,7,1,4] => [7,2,6,1,5,3,4] => [2,5,6,1,7,3,4] => 000011
[2,5,6,3,7,4,1] => [4,2,7,6,5,1,3] => [2,5,6,1,7,4,3] => 001011
[2,5,6,4,1,3,7] => [4,2,1,6,5,3,7] => [2,5,6,4,1,3,7] => 001010
[2,5,6,4,1,7,3] => [4,2,6,7,5,3,1] => [2,5,7,3,6,4,1] => 001011
[2,5,6,4,3,1,7] => [3,2,4,6,5,1,7] => [2,5,6,4,3,1,7] => 011010
[2,5,6,4,3,7,1] => [7,2,4,6,5,3,1] => [2,5,6,4,3,7,1] => 001011
[2,5,6,4,7,1,3] => [7,2,1,6,5,4,3] => [2,5,6,4,7,1,3] => 000011
[2,5,6,4,7,3,1] => [3,2,7,6,5,4,1] => [2,5,6,4,7,3,1] => 010011
[2,5,6,7,1,3,4] => [7,2,1,3,5,6,4] => [2,5,6,7,1,3,4] => 000001
[2,5,6,7,1,4,3] => [7,2,4,1,5,6,3] => [2,4,1,5,6,7,3] => 001001
[2,5,6,7,3,1,4] => [3,2,7,1,5,6,4] => [2,5,6,7,3,1,4] => 010001
[2,5,6,7,3,4,1] => [4,2,7,3,5,6,1] => [2,5,6,7,3,4,1] => 001001
[2,5,6,7,4,1,3] => [4,2,1,7,5,6,3] => [2,5,6,7,4,1,3] => 001001
[2,5,6,7,4,3,1] => [3,2,4,7,5,6,1] => [2,5,6,7,4,3,1] => 011001
[2,5,7,1,3,4,6] => [7,2,1,3,5,4,6] => [2,5,7,1,3,4,6] => 000001
[2,5,7,1,3,6,4] => [7,2,1,6,5,3,4] => [2,5,6,1,3,7,4] => 000011
[2,5,7,1,4,3,6] => [7,2,4,1,5,3,6] => [2,4,1,5,7,3,6] => 001001
[2,5,7,1,4,6,3] => [7,2,6,1,5,4,3] => [2,5,6,1,4,7,3] => 000011
[2,5,7,1,6,3,4] => [7,2,6,3,5,1,4] => [2,5,6,3,7,1,4] => 000011
[2,5,7,1,6,4,3] => [7,2,4,6,5,1,3] => [2,5,6,4,1,7,3] => 001011
[2,5,7,3,1,4,6] => [3,2,7,1,5,4,6] => [2,5,7,3,1,4,6] => 010001
[2,5,7,3,1,6,4] => [3,2,7,6,5,1,4] => [2,5,6,3,1,7,4] => 010011
[2,5,7,3,4,1,6] => [4,2,7,3,5,1,6] => [2,5,7,3,4,1,6] => 001001
[2,5,7,3,4,6,1] => [6,2,7,3,5,4,1] => [2,5,7,3,4,6,1] => 000011
[2,5,7,3,6,1,4] => [6,2,7,1,5,3,4] => [2,5,7,1,6,3,4] => 000011
[2,5,7,3,6,4,1] => [4,2,6,7,5,1,3] => [2,5,7,1,6,4,3] => 001011
[2,5,7,4,1,3,6] => [4,2,1,7,5,3,6] => [2,5,7,4,1,3,6] => 001001
[2,5,7,4,1,6,3] => [4,2,7,6,5,3,1] => [2,5,6,3,7,4,1] => 001011
[2,5,7,4,3,1,6] => [3,2,4,7,5,1,6] => [2,5,7,4,3,1,6] => 011001
[2,5,7,4,3,6,1] => [6,2,4,7,5,3,1] => [2,5,7,4,3,6,1] => 001011
[2,5,7,4,6,1,3] => [6,2,1,7,5,4,3] => [2,5,7,4,6,1,3] => 000011
[2,5,7,4,6,3,1] => [3,2,6,7,5,4,1] => [2,5,7,4,6,3,1] => 010011
[2,5,7,6,1,3,4] => [6,2,1,3,5,7,4] => [2,5,7,6,1,3,4] => 000011
[2,5,7,6,1,4,3] => [6,2,4,1,5,7,3] => [2,4,1,5,7,6,3] => 001011
[2,5,7,6,3,1,4] => [3,2,6,1,5,7,4] => [2,5,7,6,3,1,4] => 010011
[2,5,7,6,3,4,1] => [4,2,6,3,5,7,1] => [2,5,7,6,3,4,1] => 001011
[2,5,7,6,4,1,3] => [4,2,1,6,5,7,3] => [2,5,7,6,4,1,3] => 001011
[2,5,7,6,4,3,1] => [3,2,4,6,5,7,1] => [2,5,7,6,4,3,1] => 011011
[2,6,1,3,4,5,7] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => 000010
[2,6,1,3,4,7,5] => [6,2,1,3,7,4,5] => [2,7,1,3,4,6,5] => 000011
[2,6,1,3,5,4,7] => [6,2,1,5,3,4,7] => [2,5,1,3,6,4,7] => 000110
[2,6,1,3,5,7,4] => [6,2,1,7,3,5,4] => [2,7,1,3,5,6,4] => 000011
[2,6,1,3,7,4,5] => [6,2,1,7,4,3,5] => [2,7,4,6,1,3,5] => 000011
[2,6,1,3,7,5,4] => [6,2,1,5,7,3,4] => [2,7,5,1,3,6,4] => 000111
[2,6,1,4,3,5,7] => [6,2,4,1,3,5,7] => [2,4,1,6,3,5,7] => 001010
[2,6,1,4,3,7,5] => [6,2,4,1,7,3,5] => [2,4,1,7,3,6,5] => 001011
[2,6,1,4,5,3,7] => [6,2,5,1,4,3,7] => [2,5,1,4,6,3,7] => 000110
[2,6,1,4,5,7,3] => [6,2,7,1,4,5,3] => [2,7,1,4,5,6,3] => 000011
[2,6,1,4,7,3,5] => [6,2,7,1,3,4,5] => [2,7,1,6,3,4,5] => 000011
[2,6,1,4,7,5,3] => [6,2,5,1,7,4,3] => [2,7,5,1,4,6,3] => 000111
[2,6,1,5,3,4,7] => [6,2,5,3,1,4,7] => [2,5,3,6,1,4,7] => 000110
[2,6,1,5,3,7,4] => [6,2,5,7,1,3,4] => [2,7,1,5,3,6,4] => 000111
[2,6,1,5,4,3,7] => [6,2,4,5,1,3,7] => [2,5,4,1,6,3,7] => 001110
[2,6,1,5,4,7,3] => [6,2,7,5,1,4,3] => [2,5,1,7,4,6,3] => 000111
[2,6,1,5,7,3,4] => [6,2,7,3,1,5,4] => [2,7,3,5,6,1,4] => 000011
[2,6,1,5,7,4,3] => [6,2,4,7,1,5,3] => [2,7,4,1,5,6,3] => 001011
[2,6,1,7,3,4,5] => [6,2,7,3,4,1,5] => [2,7,3,4,6,1,5] => 000011
[2,6,1,7,3,5,4] => [6,2,7,5,3,1,4] => [2,5,3,7,1,6,4] => 000111
[2,6,1,7,4,3,5] => [6,2,4,7,3,1,5] => [2,7,4,3,6,1,5] => 001011
[2,6,1,7,4,5,3] => [6,2,5,7,4,1,3] => [2,7,4,5,1,6,3] => 000111
[2,6,1,7,5,3,4] => [6,2,5,3,7,1,4] => [2,7,5,3,6,1,4] => 000111
[2,6,1,7,5,4,3] => [6,2,4,5,7,1,3] => [2,7,5,4,1,6,3] => 001111
[2,6,3,1,4,5,7] => [3,2,6,1,4,5,7] => [2,6,3,1,4,5,7] => 010010
[2,6,3,1,4,7,5] => [3,2,6,1,7,4,5] => [2,7,3,1,4,6,5] => 010011
[2,6,3,1,5,4,7] => [3,2,6,5,1,4,7] => [2,5,3,1,6,4,7] => 010110
[2,6,3,1,5,7,4] => [3,2,6,7,1,5,4] => [2,7,3,1,5,6,4] => 010011
[2,6,3,1,7,4,5] => [3,2,6,7,4,1,5] => [2,7,4,6,3,1,5] => 010011
[2,6,3,1,7,5,4] => [3,2,6,5,7,1,4] => [2,7,5,3,1,6,4] => 010111
[2,6,3,4,1,5,7] => [4,2,6,3,1,5,7] => [2,6,3,4,1,5,7] => 001010
[2,6,3,4,1,7,5] => [4,2,6,3,7,1,5] => [2,7,3,4,1,6,5] => 001011
[2,6,3,4,5,1,7] => [5,2,6,3,4,1,7] => [2,6,3,4,5,1,7] => 000110
[2,6,3,4,5,7,1] => [7,2,6,3,4,5,1] => [2,6,3,4,5,7,1] => 000011
[2,6,3,4,7,1,5] => [7,2,6,3,1,4,5] => [2,6,3,7,1,4,5] => 000011
[2,6,3,4,7,5,1] => [5,2,7,1,6,4,3] => [2,6,1,4,7,5,3] => 000111
[2,6,3,5,1,4,7] => [5,2,6,1,3,4,7] => [2,6,1,5,3,4,7] => 000110
[2,6,3,5,1,7,4] => [5,2,6,7,3,1,4] => [2,7,3,6,1,5,4] => 000111
[2,6,3,5,4,1,7] => [4,2,5,6,1,3,7] => [2,6,1,5,4,3,7] => 001110
[2,6,3,5,4,7,1] => [7,2,6,5,3,4,1] => [2,5,3,6,4,7,1] => 000111
[2,6,3,5,7,1,4] => [7,2,6,1,3,5,4] => [2,6,1,5,7,3,4] => 000011
[2,6,3,5,7,4,1] => [4,2,7,6,1,5,3] => [2,6,1,5,7,4,3] => 001011
[2,6,3,7,1,4,5] => [7,2,6,1,4,3,5] => [2,6,1,4,7,3,5] => 000011
[2,6,3,7,1,5,4] => [7,2,6,5,1,3,4] => [2,5,1,6,3,7,4] => 000111
[2,6,3,7,4,1,5] => [4,2,7,6,3,1,5] => [2,6,3,7,4,1,5] => 001011
[2,6,3,7,4,5,1] => [5,2,6,7,4,3,1] => [2,7,4,6,3,5,1] => 000111
[2,6,3,7,5,1,4] => [5,2,7,3,6,1,4] => [2,6,3,7,5,1,4] => 000111
[2,6,3,7,5,4,1] => [4,2,5,7,6,3,1] => [2,6,3,7,5,4,1] => 001111
[2,6,4,1,3,5,7] => [4,2,1,6,3,5,7] => [2,6,4,1,3,5,7] => 001010
[2,6,4,1,3,7,5] => [4,2,1,6,7,3,5] => [2,7,4,1,3,6,5] => 001011
[2,6,4,1,5,3,7] => [4,2,6,5,3,1,7] => [2,5,3,6,4,1,7] => 001110
[2,6,4,1,5,7,3] => [4,2,6,7,3,5,1] => [2,7,3,5,6,4,1] => 001011
[2,6,4,1,7,3,5] => [4,2,6,7,1,3,5] => [2,7,1,6,4,3,5] => 001011
[2,6,4,1,7,5,3] => [4,2,6,5,7,3,1] => [2,7,5,3,6,4,1] => 001111
[2,6,4,3,1,5,7] => [3,2,4,6,1,5,7] => [2,6,4,3,1,5,7] => 011010
[2,6,4,3,1,7,5] => [3,2,4,6,7,1,5] => [2,7,4,3,1,6,5] => 011011
[2,6,4,3,5,1,7] => [5,2,4,6,3,1,7] => [2,6,4,3,5,1,7] => 001110
[2,6,4,3,5,7,1] => [7,2,4,6,3,5,1] => [2,6,4,3,5,7,1] => 001011
[2,6,4,3,7,1,5] => [7,2,4,6,1,3,5] => [2,6,4,1,7,3,5] => 001011
[2,6,4,3,7,5,1] => [5,2,4,7,6,1,3] => [2,6,4,1,7,5,3] => 001111
[2,6,4,5,1,3,7] => [5,2,1,6,4,3,7] => [2,6,4,5,1,3,7] => 000110
[2,6,4,5,1,7,3] => [5,2,7,6,4,1,3] => [2,6,4,7,1,5,3] => 000111
[2,6,4,5,3,1,7] => [3,2,5,6,4,1,7] => [2,6,4,5,3,1,7] => 010110
[2,6,4,5,3,7,1] => [7,2,5,6,4,3,1] => [2,6,4,5,3,7,1] => 000111
[2,6,4,5,7,1,3] => [7,2,1,6,4,5,3] => [2,6,4,5,7,1,3] => 000011
[2,6,4,5,7,3,1] => [3,2,7,6,4,5,1] => [2,6,4,5,7,3,1] => 010011
[2,6,4,7,1,3,5] => [7,2,1,6,3,4,5] => [2,6,1,3,7,4,5] => 000011
[2,6,4,7,1,5,3] => [7,2,5,6,1,4,3] => [2,6,1,5,4,7,3] => 000111
[2,6,4,7,3,1,5] => [3,2,7,6,1,4,5] => [2,6,3,1,7,4,5] => 010011
[2,6,4,7,3,5,1] => [5,2,7,6,3,4,1] => [2,6,3,7,4,5,1] => 000111
[2,6,4,7,5,1,3] => [5,2,1,7,6,3,4] => [2,6,1,3,7,5,4] => 000111
[2,6,4,7,5,3,1] => [3,2,5,7,6,1,4] => [2,6,3,1,7,5,4] => 010111
[2,6,5,1,3,4,7] => [5,2,1,3,6,4,7] => [2,6,5,1,3,4,7] => 000110
[2,6,5,1,3,7,4] => [5,2,1,6,7,4,3] => [2,7,4,6,5,1,3] => 000111
[2,6,5,1,4,3,7] => [5,2,4,1,6,3,7] => [2,4,1,6,5,3,7] => 001110
[2,6,5,1,4,7,3] => [5,2,6,3,7,4,1] => [2,7,3,4,6,5,1] => 000111
[2,6,5,1,7,3,4] => [5,2,6,1,7,3,4] => [2,7,1,6,5,3,4] => 000111
[2,6,5,1,7,4,3] => [5,2,4,6,7,3,1] => [2,7,4,3,6,5,1] => 001111
[2,6,5,3,1,4,7] => [3,2,5,1,6,4,7] => [2,6,5,3,1,4,7] => 010110
[2,6,5,3,1,7,4] => [3,2,5,6,7,4,1] => [2,7,4,6,5,3,1] => 010111
[2,6,5,3,4,1,7] => [4,2,5,3,6,1,7] => [2,6,5,3,4,1,7] => 001110
[2,6,5,3,4,7,1] => [7,2,5,3,6,4,1] => [2,6,5,3,4,7,1] => 000111
[2,6,5,3,7,1,4] => [7,2,5,1,6,3,4] => [2,6,5,1,7,3,4] => 000111
[2,6,5,3,7,4,1] => [4,2,7,5,6,1,3] => [2,6,5,1,7,4,3] => 001111
[2,6,5,4,1,3,7] => [4,2,1,5,6,3,7] => [2,6,5,4,1,3,7] => 001110
[2,6,5,4,1,7,3] => [4,2,5,6,7,1,3] => [2,7,1,6,5,4,3] => 001111
[2,6,5,4,3,1,7] => [3,2,4,5,6,1,7] => [2,6,5,4,3,1,7] => 011110
[2,6,5,4,3,7,1] => [7,2,4,5,6,3,1] => [2,6,5,4,3,7,1] => 001111
[2,6,5,4,7,1,3] => [7,2,1,5,6,4,3] => [2,6,5,4,7,1,3] => 000111
[2,6,5,4,7,3,1] => [3,2,7,5,6,4,1] => [2,6,5,4,7,3,1] => 010111
[2,6,5,7,1,3,4] => [7,2,1,3,6,5,4] => [2,6,5,7,1,3,4] => 000011
[2,6,5,7,1,4,3] => [7,2,4,1,6,5,3] => [2,4,1,6,5,7,3] => 001011
[2,6,5,7,3,1,4] => [3,2,7,1,6,5,4] => [2,6,5,7,3,1,4] => 010011
[2,6,5,7,3,4,1] => [4,2,7,3,6,5,1] => [2,6,5,7,3,4,1] => 001011
[2,6,5,7,4,1,3] => [4,2,1,7,6,5,3] => [2,6,5,7,4,1,3] => 001011
[2,6,5,7,4,3,1] => [3,2,4,7,6,5,1] => [2,6,5,7,4,3,1] => 011011
[2,6,7,1,3,4,5] => [7,2,1,3,4,6,5] => [2,6,7,1,3,4,5] => 000001
[2,6,7,1,3,5,4] => [7,2,1,5,3,6,4] => [2,5,1,3,6,7,4] => 000101
[2,6,7,1,4,3,5] => [7,2,4,1,3,6,5] => [2,4,1,6,7,3,5] => 001001
[2,6,7,1,4,5,3] => [7,2,5,1,4,6,3] => [2,5,1,4,6,7,3] => 000101
[2,6,7,1,5,3,4] => [7,2,5,3,1,6,4] => [2,5,3,6,7,1,4] => 000101
[2,6,7,1,5,4,3] => [7,2,4,5,1,6,3] => [2,5,4,1,6,7,3] => 001101
[2,6,7,3,1,4,5] => [3,2,7,1,4,6,5] => [2,6,7,3,1,4,5] => 010001
[2,6,7,3,1,5,4] => [3,2,7,5,1,6,4] => [2,5,3,1,6,7,4] => 010101
[2,6,7,3,4,1,5] => [4,2,7,3,1,6,5] => [2,6,7,3,4,1,5] => 001001
[2,6,7,3,4,5,1] => [5,2,7,3,4,6,1] => [2,6,7,3,4,5,1] => 000101
[2,6,7,3,5,1,4] => [5,2,7,1,3,6,4] => [2,6,7,1,5,3,4] => 000101
[2,6,7,3,5,4,1] => [4,2,5,7,1,6,3] => [2,6,7,1,5,4,3] => 001101
[2,6,7,4,1,3,5] => [4,2,1,7,3,6,5] => [2,6,7,4,1,3,5] => 001001
[2,6,7,4,1,5,3] => [4,2,7,5,3,6,1] => [2,5,3,6,7,4,1] => 001101
[2,6,7,4,3,1,5] => [3,2,4,7,1,6,5] => [2,6,7,4,3,1,5] => 011001
[2,6,7,4,3,5,1] => [5,2,4,7,3,6,1] => [2,6,7,4,3,5,1] => 001101
[2,6,7,4,5,1,3] => [5,2,1,7,4,6,3] => [2,6,7,4,5,1,3] => 000101
[2,6,7,4,5,3,1] => [3,2,5,7,4,6,1] => [2,6,7,4,5,3,1] => 010101
[2,6,7,5,1,3,4] => [5,2,1,3,7,6,4] => [2,6,7,5,1,3,4] => 000101
[2,6,7,5,1,4,3] => [5,2,4,1,7,6,3] => [2,4,1,6,7,5,3] => 001101
[2,6,7,5,3,1,4] => [3,2,5,1,7,6,4] => [2,6,7,5,3,1,4] => 010101
[2,6,7,5,3,4,1] => [4,2,5,3,7,6,1] => [2,6,7,5,3,4,1] => 001101
[2,6,7,5,4,1,3] => [4,2,1,5,7,6,3] => [2,6,7,5,4,1,3] => 001101
[2,6,7,5,4,3,1] => [3,2,4,5,7,6,1] => [2,6,7,5,4,3,1] => 011101
[2,7,1,3,4,5,6] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => 000001
[2,7,1,3,4,6,5] => [7,2,1,3,6,4,5] => [2,6,1,3,4,7,5] => 000011
[2,7,1,3,5,4,6] => [7,2,1,5,3,4,6] => [2,5,1,3,7,4,6] => 000101
[2,7,1,3,5,6,4] => [7,2,1,6,3,5,4] => [2,6,1,3,5,7,4] => 000011
[2,7,1,3,6,4,5] => [7,2,1,6,4,3,5] => [2,6,4,7,1,3,5] => 000011
[2,7,1,3,6,5,4] => [7,2,1,5,6,3,4] => [2,6,5,1,3,7,4] => 000111
[2,7,1,4,3,5,6] => [7,2,4,1,3,5,6] => [2,4,1,7,3,5,6] => 001001
[2,7,1,4,3,6,5] => [7,2,4,1,6,3,5] => [2,4,1,6,3,7,5] => 001011
[2,7,1,4,5,3,6] => [7,2,5,1,4,3,6] => [2,5,1,4,7,3,6] => 000101
[2,7,1,4,5,6,3] => [7,2,6,1,4,5,3] => [2,6,1,4,5,7,3] => 000011
[2,7,1,4,6,3,5] => [7,2,6,1,3,4,5] => [2,6,1,7,3,4,5] => 000011
[2,7,1,4,6,5,3] => [7,2,5,1,6,4,3] => [2,6,5,1,4,7,3] => 000111
[2,7,1,5,3,4,6] => [7,2,5,3,1,4,6] => [2,5,3,7,1,4,6] => 000101
[2,7,1,5,3,6,4] => [7,2,5,6,1,3,4] => [2,6,1,5,3,7,4] => 000111
[2,7,1,5,4,3,6] => [7,2,4,5,1,3,6] => [2,5,4,1,7,3,6] => 001101
[2,7,1,5,4,6,3] => [7,2,6,5,1,4,3] => [2,5,1,6,4,7,3] => 000111
[2,7,1,5,6,3,4] => [7,2,6,3,1,5,4] => [2,6,3,5,7,1,4] => 000011
[2,7,1,5,6,4,3] => [7,2,4,6,1,5,3] => [2,6,4,1,5,7,3] => 001011
[2,7,1,6,3,4,5] => [7,2,6,3,4,1,5] => [2,6,3,4,7,1,5] => 000011
[2,7,1,6,3,5,4] => [7,2,6,5,3,1,4] => [2,5,3,6,1,7,4] => 000111
[2,7,1,6,4,3,5] => [7,2,4,6,3,1,5] => [2,6,4,3,7,1,5] => 001011
[2,7,1,6,4,5,3] => [7,2,5,6,4,1,3] => [2,6,4,5,1,7,3] => 000111
[2,7,1,6,5,3,4] => [7,2,5,3,6,1,4] => [2,6,5,3,7,1,4] => 000111
[2,7,1,6,5,4,3] => [7,2,4,5,6,1,3] => [2,6,5,4,1,7,3] => 001111
[2,7,3,1,4,5,6] => [3,2,7,1,4,5,6] => [2,7,3,1,4,5,6] => 010001
[2,7,3,1,4,6,5] => [3,2,7,1,6,4,5] => [2,6,3,1,4,7,5] => 010011
[2,7,3,1,5,4,6] => [3,2,7,5,1,4,6] => [2,5,3,1,7,4,6] => 010101
[2,7,3,1,5,6,4] => [3,2,7,6,1,5,4] => [2,6,3,1,5,7,4] => 010011
[2,7,3,1,6,4,5] => [3,2,7,6,4,1,5] => [2,6,4,7,3,1,5] => 010011
[2,7,3,1,6,5,4] => [3,2,7,5,6,1,4] => [2,6,5,3,1,7,4] => 010111
[2,7,3,4,1,5,6] => [4,2,7,3,1,5,6] => [2,7,3,4,1,5,6] => 001001
[2,7,3,4,1,6,5] => [4,2,7,3,6,1,5] => [2,6,3,4,1,7,5] => 001011
[2,7,3,4,5,1,6] => [5,2,7,3,4,1,6] => [2,7,3,4,5,1,6] => 000101
[2,7,3,4,5,6,1] => [6,2,7,3,4,5,1] => [2,7,3,4,5,6,1] => 000011
[2,7,3,4,6,1,5] => [6,2,7,3,1,4,5] => [2,7,3,6,1,4,5] => 000011
[2,7,3,4,6,5,1] => [5,2,6,1,7,4,3] => [2,7,1,4,6,5,3] => 000111
[2,7,3,5,1,4,6] => [5,2,7,1,3,4,6] => [2,7,1,5,3,4,6] => 000101
[2,7,3,5,1,6,4] => [5,2,7,6,3,1,4] => [2,6,3,7,1,5,4] => 000111
[2,7,3,5,4,1,6] => [4,2,5,7,1,3,6] => [2,7,1,5,4,3,6] => 001101
[2,7,3,5,4,6,1] => [6,2,7,5,3,4,1] => [2,5,3,7,4,6,1] => 000111
[2,7,3,5,6,1,4] => [6,2,7,1,3,5,4] => [2,7,1,5,6,3,4] => 000011
[2,7,3,5,6,4,1] => [4,2,6,7,1,5,3] => [2,7,1,5,6,4,3] => 001011
[2,7,3,6,1,4,5] => [6,2,7,1,4,3,5] => [2,7,1,4,6,3,5] => 000011
[2,7,3,6,1,5,4] => [6,2,7,5,1,3,4] => [2,5,1,7,3,6,4] => 000111
[2,7,3,6,4,1,5] => [4,2,6,7,3,1,5] => [2,7,3,6,4,1,5] => 001011
[2,7,3,6,4,5,1] => [5,2,7,6,4,3,1] => [2,6,4,7,3,5,1] => 000111
[2,7,3,6,5,1,4] => [5,2,6,3,7,1,4] => [2,7,3,6,5,1,4] => 000111
[2,7,3,6,5,4,1] => [4,2,5,6,7,3,1] => [2,7,3,6,5,4,1] => 001111
[2,7,4,1,3,5,6] => [4,2,1,7,3,5,6] => [2,7,4,1,3,5,6] => 001001
[2,7,4,1,3,6,5] => [4,2,1,7,6,3,5] => [2,6,4,1,3,7,5] => 001011
[2,7,4,1,5,3,6] => [4,2,7,5,3,1,6] => [2,5,3,7,4,1,6] => 001101
[2,7,4,1,5,6,3] => [4,2,7,6,3,5,1] => [2,6,3,5,7,4,1] => 001011
[2,7,4,1,6,3,5] => [4,2,7,6,1,3,5] => [2,6,1,7,4,3,5] => 001011
[2,7,4,1,6,5,3] => [4,2,7,5,6,3,1] => [2,6,5,3,7,4,1] => 001111
[2,7,4,3,1,5,6] => [3,2,4,7,1,5,6] => [2,7,4,3,1,5,6] => 011001
[2,7,4,3,1,6,5] => [3,2,4,7,6,1,5] => [2,6,4,3,1,7,5] => 011011
[2,7,4,3,5,1,6] => [5,2,4,7,3,1,6] => [2,7,4,3,5,1,6] => 001101
[2,7,4,3,5,6,1] => [6,2,4,7,3,5,1] => [2,7,4,3,5,6,1] => 001011
[2,7,4,3,6,1,5] => [6,2,4,7,1,3,5] => [2,7,4,1,6,3,5] => 001011
[2,7,4,3,6,5,1] => [5,2,4,6,7,1,3] => [2,7,4,1,6,5,3] => 001111
[2,7,4,5,1,3,6] => [5,2,1,7,4,3,6] => [2,7,4,5,1,3,6] => 000101
[2,7,4,5,1,6,3] => [5,2,6,7,4,1,3] => [2,7,4,6,1,5,3] => 000111
[2,7,4,5,3,1,6] => [3,2,5,7,4,1,6] => [2,7,4,5,3,1,6] => 010101
[2,7,4,5,3,6,1] => [6,2,5,7,4,3,1] => [2,7,4,5,3,6,1] => 000111
[2,7,4,5,6,1,3] => [6,2,1,7,4,5,3] => [2,7,4,5,6,1,3] => 000011
[2,7,4,5,6,3,1] => [3,2,6,7,4,5,1] => [2,7,4,5,6,3,1] => 010011
[2,7,4,6,1,3,5] => [6,2,1,7,3,4,5] => [2,7,1,3,6,4,5] => 000011
[2,7,4,6,1,5,3] => [6,2,5,7,1,4,3] => [2,7,1,5,4,6,3] => 000111
[2,7,4,6,3,1,5] => [3,2,6,7,1,4,5] => [2,7,3,1,6,4,5] => 010011
[2,7,4,6,3,5,1] => [5,2,6,7,3,4,1] => [2,7,3,6,4,5,1] => 000111
[2,7,4,6,5,1,3] => [5,2,1,6,7,3,4] => [2,7,1,3,6,5,4] => 000111
[2,7,4,6,5,3,1] => [3,2,5,6,7,1,4] => [2,7,3,1,6,5,4] => 010111
[2,7,5,1,3,4,6] => [5,2,1,3,7,4,6] => [2,7,5,1,3,4,6] => 000101
[2,7,5,1,3,6,4] => [5,2,1,7,6,4,3] => [2,6,4,7,5,1,3] => 000111
[2,7,5,1,4,3,6] => [5,2,4,1,7,3,6] => [2,4,1,7,5,3,6] => 001101
[2,7,5,1,4,6,3] => [5,2,7,3,6,4,1] => [2,6,3,4,7,5,1] => 000111
[2,7,5,1,6,3,4] => [5,2,7,1,6,3,4] => [2,6,1,7,5,3,4] => 000111
[2,7,5,1,6,4,3] => [5,2,4,7,6,3,1] => [2,6,4,3,7,5,1] => 001111
[2,7,5,3,1,4,6] => [3,2,5,1,7,4,6] => [2,7,5,3,1,4,6] => 010101
[2,7,5,3,1,6,4] => [3,2,5,7,6,4,1] => [2,6,4,7,5,3,1] => 010111
[2,7,5,3,4,1,6] => [4,2,5,3,7,1,6] => [2,7,5,3,4,1,6] => 001101
[2,7,5,3,4,6,1] => [6,2,5,3,7,4,1] => [2,7,5,3,4,6,1] => 000111
[2,7,5,3,6,1,4] => [6,2,5,1,7,3,4] => [2,7,5,1,6,3,4] => 000111
[2,7,5,3,6,4,1] => [4,2,6,5,7,1,3] => [2,7,5,1,6,4,3] => 001111
[2,7,5,4,1,3,6] => [4,2,1,5,7,3,6] => [2,7,5,4,1,3,6] => 001101
[2,7,5,4,1,6,3] => [4,2,5,7,6,1,3] => [2,6,1,7,5,4,3] => 001111
[2,7,5,4,3,1,6] => [3,2,4,5,7,1,6] => [2,7,5,4,3,1,6] => 011101
[2,7,5,4,3,6,1] => [6,2,4,5,7,3,1] => [2,7,5,4,3,6,1] => 001111
[2,7,5,4,6,1,3] => [6,2,1,5,7,4,3] => [2,7,5,4,6,1,3] => 000111
[2,7,5,4,6,3,1] => [3,2,6,5,7,4,1] => [2,7,5,4,6,3,1] => 010111
[2,7,5,6,1,3,4] => [6,2,1,3,7,5,4] => [2,7,5,6,1,3,4] => 000011
[2,7,5,6,1,4,3] => [6,2,4,1,7,5,3] => [2,4,1,7,5,6,3] => 001011
[2,7,5,6,3,1,4] => [3,2,6,1,7,5,4] => [2,7,5,6,3,1,4] => 010011
[2,7,5,6,3,4,1] => [4,2,6,3,7,5,1] => [2,7,5,6,3,4,1] => 001011
[2,7,5,6,4,1,3] => [4,2,1,6,7,5,3] => [2,7,5,6,4,1,3] => 001011
[2,7,5,6,4,3,1] => [3,2,4,6,7,5,1] => [2,7,5,6,4,3,1] => 011011
[2,7,6,1,3,4,5] => [6,2,1,3,4,7,5] => [2,7,6,1,3,4,5] => 000011
[2,7,6,1,3,5,4] => [6,2,1,5,3,7,4] => [2,5,1,3,7,6,4] => 000111
[2,7,6,1,4,3,5] => [6,2,4,1,3,7,5] => [2,4,1,7,6,3,5] => 001011
[2,7,6,1,4,5,3] => [6,2,5,1,4,7,3] => [2,5,1,4,7,6,3] => 000111
[2,7,6,1,5,3,4] => [6,2,5,3,1,7,4] => [2,5,3,7,6,1,4] => 000111
[2,7,6,1,5,4,3] => [6,2,4,5,1,7,3] => [2,5,4,1,7,6,3] => 001111
[2,7,6,3,1,4,5] => [3,2,6,1,4,7,5] => [2,7,6,3,1,4,5] => 010011
[2,7,6,3,1,5,4] => [3,2,6,5,1,7,4] => [2,5,3,1,7,6,4] => 010111
[2,7,6,3,4,1,5] => [4,2,6,3,1,7,5] => [2,7,6,3,4,1,5] => 001011
[2,7,6,3,4,5,1] => [5,2,6,3,4,7,1] => [2,7,6,3,4,5,1] => 000111
[2,7,6,3,5,1,4] => [5,2,6,1,3,7,4] => [2,7,6,1,5,3,4] => 000111
[2,7,6,3,5,4,1] => [4,2,5,6,1,7,3] => [2,7,6,1,5,4,3] => 001111
[2,7,6,4,1,3,5] => [4,2,1,6,3,7,5] => [2,7,6,4,1,3,5] => 001011
[2,7,6,4,1,5,3] => [4,2,6,5,3,7,1] => [2,5,3,7,6,4,1] => 001111
[2,7,6,4,3,1,5] => [3,2,4,6,1,7,5] => [2,7,6,4,3,1,5] => 011011
[2,7,6,4,3,5,1] => [5,2,4,6,3,7,1] => [2,7,6,4,3,5,1] => 001111
[2,7,6,4,5,1,3] => [5,2,1,6,4,7,3] => [2,7,6,4,5,1,3] => 000111
[2,7,6,4,5,3,1] => [3,2,5,6,4,7,1] => [2,7,6,4,5,3,1] => 010111
[2,7,6,5,1,3,4] => [5,2,1,3,6,7,4] => [2,7,6,5,1,3,4] => 000111
[2,7,6,5,1,4,3] => [5,2,4,1,6,7,3] => [2,4,1,7,6,5,3] => 001111
[2,7,6,5,3,1,4] => [3,2,5,1,6,7,4] => [2,7,6,5,3,1,4] => 010111
[2,7,6,5,3,4,1] => [4,2,5,3,6,7,1] => [2,7,6,5,3,4,1] => 001111
[2,7,6,5,4,1,3] => [4,2,1,5,6,7,3] => [2,7,6,5,4,1,3] => 001111
[2,7,6,5,4,3,1] => [3,2,4,5,6,7,1] => [2,7,6,5,4,3,1] => 011111
[3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => 010000
[3,1,2,4,5,7,6] => [3,1,2,4,5,7,6] => [3,1,2,4,5,7,6] => 010001
[3,1,2,4,6,5,7] => [3,1,2,4,6,5,7] => [3,1,2,4,6,5,7] => 010010
[3,1,2,4,6,7,5] => [3,1,2,4,7,6,5] => [3,1,2,4,6,7,5] => 010001
[3,1,2,4,7,5,6] => [3,1,2,4,7,5,6] => [3,1,2,4,7,5,6] => 010001
[3,1,2,4,7,6,5] => [3,1,2,4,6,7,5] => [3,1,2,4,7,6,5] => 010011
[3,1,2,5,4,6,7] => [3,1,2,5,4,6,7] => [3,1,2,5,4,6,7] => 010100
[3,1,2,5,4,7,6] => [3,1,2,5,4,7,6] => [3,1,2,5,4,7,6] => 010101
[3,1,2,5,6,4,7] => [3,1,2,6,5,4,7] => [3,1,2,5,6,4,7] => 010010
[3,1,2,5,6,7,4] => [3,1,2,7,5,6,4] => [3,1,2,5,6,7,4] => 010001
[3,1,2,5,7,4,6] => [3,1,2,7,5,4,6] => [3,1,2,5,7,4,6] => 010001
[3,1,2,5,7,6,4] => [3,1,2,6,5,7,4] => [3,1,2,5,7,6,4] => 010011
[3,1,2,6,4,5,7] => [3,1,2,6,4,5,7] => [3,1,2,6,4,5,7] => 010010
[3,1,2,6,4,7,5] => [3,1,2,6,7,4,5] => [3,1,2,7,4,6,5] => 010011
[3,1,2,6,5,4,7] => [3,1,2,5,6,4,7] => [3,1,2,6,5,4,7] => 010110
[3,1,2,6,5,7,4] => [3,1,2,7,6,5,4] => [3,1,2,6,5,7,4] => 010011
[3,1,2,6,7,4,5] => [3,1,2,7,4,6,5] => [3,1,2,6,7,4,5] => 010001
[3,1,2,6,7,5,4] => [3,1,2,5,7,6,4] => [3,1,2,6,7,5,4] => 010101
[3,1,2,7,4,5,6] => [3,1,2,7,4,5,6] => [3,1,2,7,4,5,6] => 010001
[3,1,2,7,4,6,5] => [3,1,2,7,6,4,5] => [3,1,2,6,4,7,5] => 010011
[3,1,2,7,5,4,6] => [3,1,2,5,7,4,6] => [3,1,2,7,5,4,6] => 010101
[3,1,2,7,5,6,4] => [3,1,2,6,7,5,4] => [3,1,2,7,5,6,4] => 010011
[3,1,2,7,6,4,5] => [3,1,2,6,4,7,5] => [3,1,2,7,6,4,5] => 010011
[3,1,2,7,6,5,4] => [3,1,2,5,6,7,4] => [3,1,2,7,6,5,4] => 010111
[3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => 011000
[3,1,4,2,5,7,6] => [3,4,1,2,5,7,6] => [4,1,3,2,5,7,6] => 011001
[3,1,4,2,6,5,7] => [3,4,1,2,6,5,7] => [4,1,3,2,6,5,7] => 011010
[3,1,4,2,6,7,5] => [3,4,1,2,7,6,5] => [4,1,3,2,6,7,5] => 011001
[3,1,4,2,7,5,6] => [3,4,1,2,7,5,6] => [4,1,3,2,7,5,6] => 011001
[3,1,4,2,7,6,5] => [3,4,1,2,6,7,5] => [4,1,3,2,7,6,5] => 011011
[3,1,4,5,2,6,7] => [3,5,1,4,2,6,7] => [4,5,1,3,2,6,7] => 010100
[3,1,4,5,2,7,6] => [3,5,1,4,2,7,6] => [4,5,1,3,2,7,6] => 010101
[3,1,4,5,6,2,7] => [3,6,1,4,5,2,7] => [4,5,6,1,3,2,7] => 010010
[3,1,4,5,6,7,2] => [3,7,1,4,5,6,2] => [4,5,6,7,1,3,2] => 010001
[3,1,4,5,7,2,6] => [3,7,1,4,5,2,6] => [4,5,7,1,3,2,6] => 010001
[3,1,4,5,7,6,2] => [3,6,1,4,5,7,2] => [4,5,7,6,1,3,2] => 010011
[3,1,4,6,2,5,7] => [3,6,1,4,2,5,7] => [4,6,1,3,2,5,7] => 010010
[3,1,4,6,2,7,5] => [3,6,1,4,7,2,5] => [4,7,1,3,2,6,5] => 010011
[3,1,4,6,5,2,7] => [3,5,1,4,6,2,7] => [4,6,5,1,3,2,7] => 010110
[3,1,4,6,5,7,2] => [3,7,1,4,6,5,2] => [4,6,5,7,1,3,2] => 010011
[3,1,4,6,7,2,5] => [3,7,1,4,2,6,5] => [4,6,7,1,3,2,5] => 010001
[3,1,4,6,7,5,2] => [3,5,1,4,7,6,2] => [4,6,7,5,1,3,2] => 010101
[3,1,4,7,2,5,6] => [3,7,1,4,2,5,6] => [4,7,1,3,2,5,6] => 010001
[3,1,4,7,2,6,5] => [3,7,1,4,6,2,5] => [4,6,1,3,2,7,5] => 010011
[3,1,4,7,5,2,6] => [3,5,1,4,7,2,6] => [4,7,5,1,3,2,6] => 010101
[3,1,4,7,5,6,2] => [3,6,1,4,7,5,2] => [4,7,5,6,1,3,2] => 010011
[3,1,4,7,6,2,5] => [3,6,1,4,2,7,5] => [4,7,6,1,3,2,5] => 010011
[3,1,4,7,6,5,2] => [3,5,1,4,6,7,2] => [4,7,6,5,1,3,2] => 010111
[3,1,5,2,4,6,7] => [3,5,1,2,4,6,7] => [5,1,3,2,4,6,7] => 010100
[3,1,5,2,4,7,6] => [3,5,1,2,4,7,6] => [5,1,3,2,4,7,6] => 010101
[3,1,5,2,6,4,7] => [3,5,1,6,2,4,7] => [6,1,3,2,5,4,7] => 010110
[3,1,5,2,6,7,4] => [3,5,1,7,2,6,4] => [6,7,1,3,2,5,4] => 010101
[3,1,5,2,7,4,6] => [3,5,1,7,2,4,6] => [7,1,3,2,5,4,6] => 010101
[3,1,5,2,7,6,4] => [3,5,1,6,2,7,4] => [7,6,1,3,2,5,4] => 010111
[3,1,5,4,2,6,7] => [3,4,1,5,2,6,7] => [5,4,1,3,2,6,7] => 011100
[3,1,5,4,2,7,6] => [3,4,1,5,2,7,6] => [5,4,1,3,2,7,6] => 011101
[3,1,5,4,6,2,7] => [3,6,1,5,4,2,7] => [5,4,6,1,3,2,7] => 010110
[3,1,5,4,6,7,2] => [3,7,1,5,4,6,2] => [5,4,6,7,1,3,2] => 010101
[3,1,5,4,7,2,6] => [3,7,1,5,4,2,6] => [5,4,7,1,3,2,6] => 010101
[3,1,5,4,7,6,2] => [3,6,1,5,4,7,2] => [5,4,7,6,1,3,2] => 010111
[3,1,5,6,2,4,7] => [3,6,1,2,5,4,7] => [5,6,1,3,2,4,7] => 010010
[3,1,5,6,2,7,4] => [3,6,1,7,5,2,4] => [5,7,1,3,2,6,4] => 010011
[3,1,5,6,4,2,7] => [3,4,1,6,5,2,7] => [5,6,4,1,3,2,7] => 011010
[3,1,5,6,4,7,2] => [3,7,1,6,5,4,2] => [5,6,4,7,1,3,2] => 010011
[3,1,5,6,7,2,4] => [3,7,1,2,5,6,4] => [5,6,7,1,3,2,4] => 010001
[3,1,5,6,7,4,2] => [3,4,1,7,5,6,2] => [5,6,7,4,1,3,2] => 011001
[3,1,5,7,2,4,6] => [3,7,1,2,5,4,6] => [5,7,1,3,2,4,6] => 010001
[3,1,5,7,2,6,4] => [3,7,1,6,5,2,4] => [5,6,1,3,2,7,4] => 010011
[3,1,5,7,4,2,6] => [3,4,1,7,5,2,6] => [5,7,4,1,3,2,6] => 011001
[3,1,5,7,4,6,2] => [3,6,1,7,5,4,2] => [5,7,4,6,1,3,2] => 010011
[3,1,5,7,6,2,4] => [3,6,1,2,5,7,4] => [5,7,6,1,3,2,4] => 010011
[3,1,5,7,6,4,2] => [3,4,1,6,5,7,2] => [5,7,6,4,1,3,2] => 011011
[3,1,6,2,4,5,7] => [3,6,1,2,4,5,7] => [6,1,3,2,4,5,7] => 010010
[3,1,6,2,4,7,5] => [3,6,1,2,7,4,5] => [7,1,3,2,4,6,5] => 010011
[3,1,6,2,5,4,7] => [3,6,1,5,2,4,7] => [5,1,3,2,6,4,7] => 010110
[3,1,6,2,5,7,4] => [3,6,1,7,2,5,4] => [7,1,3,2,5,6,4] => 010011
[3,1,6,2,7,4,5] => [3,6,1,7,4,2,5] => [7,4,6,1,3,2,5] => 010011
[3,1,6,2,7,5,4] => [3,6,1,5,7,2,4] => [7,5,1,3,2,6,4] => 010111
[3,1,6,4,2,5,7] => [3,4,1,6,2,5,7] => [6,4,1,3,2,5,7] => 011010
[3,1,6,4,2,7,5] => [3,4,1,6,7,2,5] => [7,4,1,3,2,6,5] => 011011
[3,1,6,4,5,2,7] => [3,5,1,6,4,2,7] => [6,4,5,1,3,2,7] => 010110
[3,1,6,4,5,7,2] => [3,7,1,6,4,5,2] => [6,4,5,7,1,3,2] => 010011
[3,1,6,4,7,2,5] => [3,7,1,6,2,4,5] => [6,1,3,2,7,4,5] => 010011
[3,1,6,4,7,5,2] => [3,5,1,7,6,2,4] => [6,1,3,2,7,5,4] => 010111
[3,1,6,5,2,4,7] => [3,5,1,2,6,4,7] => [6,5,1,3,2,4,7] => 010110
[3,1,6,5,2,7,4] => [3,5,1,6,7,4,2] => [7,4,6,5,1,3,2] => 010111
[3,1,6,5,4,2,7] => [3,4,1,5,6,2,7] => [6,5,4,1,3,2,7] => 011110
[3,1,6,5,4,7,2] => [3,7,1,5,6,4,2] => [6,5,4,7,1,3,2] => 010111
[3,1,6,5,7,2,4] => [3,7,1,2,6,5,4] => [6,5,7,1,3,2,4] => 010011
[3,1,6,5,7,4,2] => [3,4,1,7,6,5,2] => [6,5,7,4,1,3,2] => 011011
[3,1,6,7,2,4,5] => [3,7,1,2,4,6,5] => [6,7,1,3,2,4,5] => 010001
[3,1,6,7,2,5,4] => [3,7,1,5,2,6,4] => [5,1,3,2,6,7,4] => 010101
[3,1,6,7,4,2,5] => [3,4,1,7,2,6,5] => [6,7,4,1,3,2,5] => 011001
[3,1,6,7,4,5,2] => [3,5,1,7,4,6,2] => [6,7,4,5,1,3,2] => 010101
[3,1,6,7,5,2,4] => [3,5,1,2,7,6,4] => [6,7,5,1,3,2,4] => 010101
[3,1,6,7,5,4,2] => [3,4,1,5,7,6,2] => [6,7,5,4,1,3,2] => 011101
[3,1,7,2,4,5,6] => [3,7,1,2,4,5,6] => [7,1,3,2,4,5,6] => 010001
[3,1,7,2,4,6,5] => [3,7,1,2,6,4,5] => [6,1,3,2,4,7,5] => 010011
[3,1,7,2,5,4,6] => [3,7,1,5,2,4,6] => [5,1,3,2,7,4,6] => 010101
[3,1,7,2,5,6,4] => [3,7,1,6,2,5,4] => [6,1,3,2,5,7,4] => 010011
[3,1,7,2,6,4,5] => [3,7,1,6,4,2,5] => [6,4,7,1,3,2,5] => 010011
[3,1,7,2,6,5,4] => [3,7,1,5,6,2,4] => [6,5,1,3,2,7,4] => 010111
[3,1,7,4,2,5,6] => [3,4,1,7,2,5,6] => [7,4,1,3,2,5,6] => 011001
[3,1,7,4,2,6,5] => [3,4,1,7,6,2,5] => [6,4,1,3,2,7,5] => 011011
[3,1,7,4,5,2,6] => [3,5,1,7,4,2,6] => [7,4,5,1,3,2,6] => 010101
[3,1,7,4,5,6,2] => [3,6,1,7,4,5,2] => [7,4,5,6,1,3,2] => 010011
[3,1,7,4,6,2,5] => [3,6,1,7,2,4,5] => [7,1,3,2,6,4,5] => 010011
[3,1,7,4,6,5,2] => [3,5,1,6,7,2,4] => [7,1,3,2,6,5,4] => 010111
[3,1,7,5,2,4,6] => [3,5,1,2,7,4,6] => [7,5,1,3,2,4,6] => 010101
[3,1,7,5,2,6,4] => [3,5,1,7,6,4,2] => [6,4,7,5,1,3,2] => 010111
[3,1,7,5,4,2,6] => [3,4,1,5,7,2,6] => [7,5,4,1,3,2,6] => 011101
[3,1,7,5,4,6,2] => [3,6,1,5,7,4,2] => [7,5,4,6,1,3,2] => 010111
[3,1,7,5,6,2,4] => [3,6,1,2,7,5,4] => [7,5,6,1,3,2,4] => 010011
[3,1,7,5,6,4,2] => [3,4,1,6,7,5,2] => [7,5,6,4,1,3,2] => 011011
[3,1,7,6,2,4,5] => [3,6,1,2,4,7,5] => [7,6,1,3,2,4,5] => 010011
[3,1,7,6,2,5,4] => [3,6,1,5,2,7,4] => [5,1,3,2,7,6,4] => 010111
[3,1,7,6,4,2,5] => [3,4,1,6,2,7,5] => [7,6,4,1,3,2,5] => 011011
[3,1,7,6,4,5,2] => [3,5,1,6,4,7,2] => [7,6,4,5,1,3,2] => 010111
[3,1,7,6,5,2,4] => [3,5,1,2,6,7,4] => [7,6,5,1,3,2,4] => 010111
[3,1,7,6,5,4,2] => [3,4,1,5,6,7,2] => [7,6,5,4,1,3,2] => 011111
[3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => 110000
[3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => 110001
[3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => 110010
[3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => 110001
[3,2,1,4,7,5,6] => [2,3,1,4,7,5,6] => [3,2,1,4,7,5,6] => 110001
[3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => 110011
[3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => 110100
[3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => 110101
[3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => 110010
[3,2,1,5,6,7,4] => [2,3,1,7,5,6,4] => [3,2,1,5,6,7,4] => 110001
[3,2,1,5,7,4,6] => [2,3,1,7,5,4,6] => [3,2,1,5,7,4,6] => 110001
[3,2,1,5,7,6,4] => [2,3,1,6,5,7,4] => [3,2,1,5,7,6,4] => 110011
[3,2,1,6,4,5,7] => [2,3,1,6,4,5,7] => [3,2,1,6,4,5,7] => 110010
[3,2,1,6,4,7,5] => [2,3,1,6,7,4,5] => [3,2,1,7,4,6,5] => 110011
[3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => 110110
[3,2,1,6,5,7,4] => [2,3,1,7,6,5,4] => [3,2,1,6,5,7,4] => 110011
[3,2,1,6,7,4,5] => [2,3,1,7,4,6,5] => [3,2,1,6,7,4,5] => 110001
[3,2,1,6,7,5,4] => [2,3,1,5,7,6,4] => [3,2,1,6,7,5,4] => 110101
[3,2,1,7,4,5,6] => [2,3,1,7,4,5,6] => [3,2,1,7,4,5,6] => 110001
[3,2,1,7,4,6,5] => [2,3,1,7,6,4,5] => [3,2,1,6,4,7,5] => 110011
[3,2,1,7,5,4,6] => [2,3,1,5,7,4,6] => [3,2,1,7,5,4,6] => 110101
[3,2,1,7,5,6,4] => [2,3,1,6,7,5,4] => [3,2,1,7,5,6,4] => 110011
[3,2,1,7,6,4,5] => [2,3,1,6,4,7,5] => [3,2,1,7,6,4,5] => 110011
[3,2,1,7,6,5,4] => [2,3,1,5,6,7,4] => [3,2,1,7,6,5,4] => 110111
[3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => [3,2,4,1,5,6,7] => 011000
[3,2,4,1,5,7,6] => [4,3,2,1,5,7,6] => [3,2,4,1,5,7,6] => 011001
[3,2,4,1,6,5,7] => [4,3,2,1,6,5,7] => [3,2,4,1,6,5,7] => 011010
[3,2,4,1,6,7,5] => [4,3,2,1,7,6,5] => [3,2,4,1,6,7,5] => 011001
[3,2,4,1,7,5,6] => [4,3,2,1,7,5,6] => [3,2,4,1,7,5,6] => 011001
[3,2,4,1,7,6,5] => [4,3,2,1,6,7,5] => [3,2,4,1,7,6,5] => 011011
[3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => [3,2,4,5,1,6,7] => 010100
[3,2,4,5,1,7,6] => [5,3,2,4,1,7,6] => [3,2,4,5,1,7,6] => 010101
[3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => [3,2,4,5,6,1,7] => 010010
[3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => [3,2,4,5,6,7,1] => 010001
[3,2,4,5,7,1,6] => [7,3,2,4,5,1,6] => [3,2,4,5,7,1,6] => 010001
[3,2,4,5,7,6,1] => [6,3,2,4,5,7,1] => [3,2,4,5,7,6,1] => 010011
[3,2,4,6,1,5,7] => [6,3,2,4,1,5,7] => [3,2,4,6,1,5,7] => 010010
[3,2,4,6,1,7,5] => [6,3,2,4,7,1,5] => [3,2,4,7,1,6,5] => 010011
[3,2,4,6,5,1,7] => [5,3,2,4,6,1,7] => [3,2,4,6,5,1,7] => 010110
[3,2,4,6,5,7,1] => [7,3,2,4,6,5,1] => [3,2,4,6,5,7,1] => 010011
[3,2,4,6,7,1,5] => [7,3,2,4,1,6,5] => [3,2,4,6,7,1,5] => 010001
[3,2,4,6,7,5,1] => [5,3,2,4,7,6,1] => [3,2,4,6,7,5,1] => 010101
[3,2,4,7,1,5,6] => [7,3,2,4,1,5,6] => [3,2,4,7,1,5,6] => 010001
[3,2,4,7,1,6,5] => [7,3,2,4,6,1,5] => [3,2,4,6,1,7,5] => 010011
[3,2,4,7,5,1,6] => [5,3,2,4,7,1,6] => [3,2,4,7,5,1,6] => 010101
[3,2,4,7,5,6,1] => [6,3,2,4,7,5,1] => [3,2,4,7,5,6,1] => 010011
[3,2,4,7,6,1,5] => [6,3,2,4,1,7,5] => [3,2,4,7,6,1,5] => 010011
[3,2,4,7,6,5,1] => [5,3,2,4,6,7,1] => [3,2,4,7,6,5,1] => 010111
[3,2,5,1,4,6,7] => [5,3,2,1,4,6,7] => [3,2,5,1,4,6,7] => 010100
[3,2,5,1,4,7,6] => [5,3,2,1,4,7,6] => [3,2,5,1,4,7,6] => 010101
[3,2,5,1,6,4,7] => [5,3,2,6,1,4,7] => [3,2,6,1,5,4,7] => 010110
[3,2,5,1,6,7,4] => [5,3,2,7,1,6,4] => [3,2,6,7,1,5,4] => 010101
[3,2,5,1,7,4,6] => [5,3,2,7,1,4,6] => [3,2,7,1,5,4,6] => 010101
[3,2,5,1,7,6,4] => [5,3,2,6,1,7,4] => [3,2,7,6,1,5,4] => 010111
[3,2,5,4,1,6,7] => [4,3,2,5,1,6,7] => [3,2,5,4,1,6,7] => 011100
[3,2,5,4,1,7,6] => [4,3,2,5,1,7,6] => [3,2,5,4,1,7,6] => 011101
[3,2,5,4,6,1,7] => [6,3,2,5,4,1,7] => [3,2,5,4,6,1,7] => 010110
[3,2,5,4,6,7,1] => [7,3,2,5,4,6,1] => [3,2,5,4,6,7,1] => 010101
[3,2,5,4,7,1,6] => [7,3,2,5,4,1,6] => [3,2,5,4,7,1,6] => 010101
[3,2,5,4,7,6,1] => [6,3,2,5,4,7,1] => [3,2,5,4,7,6,1] => 010111
[3,2,5,6,1,4,7] => [6,3,2,1,5,4,7] => [3,2,5,6,1,4,7] => 010010
[3,2,5,6,1,7,4] => [6,3,2,7,5,1,4] => [3,2,5,7,1,6,4] => 010011
[3,2,5,6,4,1,7] => [4,3,2,6,5,1,7] => [3,2,5,6,4,1,7] => 011010
[3,2,5,6,4,7,1] => [7,3,2,6,5,4,1] => [3,2,5,6,4,7,1] => 010011
[3,2,5,6,7,1,4] => [7,3,2,1,5,6,4] => [3,2,5,6,7,1,4] => 010001
[3,2,5,6,7,4,1] => [4,3,2,7,5,6,1] => [3,2,5,6,7,4,1] => 011001
[3,2,5,7,1,4,6] => [7,3,2,1,5,4,6] => [3,2,5,7,1,4,6] => 010001
[3,2,5,7,1,6,4] => [7,3,2,6,5,1,4] => [3,2,5,6,1,7,4] => 010011
[3,2,5,7,4,1,6] => [4,3,2,7,5,1,6] => [3,2,5,7,4,1,6] => 011001
[3,2,5,7,4,6,1] => [6,3,2,7,5,4,1] => [3,2,5,7,4,6,1] => 010011
[3,2,5,7,6,1,4] => [6,3,2,1,5,7,4] => [3,2,5,7,6,1,4] => 010011
[3,2,5,7,6,4,1] => [4,3,2,6,5,7,1] => [3,2,5,7,6,4,1] => 011011
[3,2,6,1,4,5,7] => [6,3,2,1,4,5,7] => [3,2,6,1,4,5,7] => 010010
[3,2,6,1,4,7,5] => [6,3,2,1,7,4,5] => [3,2,7,1,4,6,5] => 010011
[3,2,6,1,5,4,7] => [6,3,2,5,1,4,7] => [3,2,5,1,6,4,7] => 010110
[3,2,6,1,5,7,4] => [6,3,2,7,1,5,4] => [3,2,7,1,5,6,4] => 010011
[3,2,6,1,7,4,5] => [6,3,2,7,4,1,5] => [3,2,7,4,6,1,5] => 010011
[3,2,6,1,7,5,4] => [6,3,2,5,7,1,4] => [3,2,7,5,1,6,4] => 010111
[3,2,6,4,1,5,7] => [4,3,2,6,1,5,7] => [3,2,6,4,1,5,7] => 011010
[3,2,6,4,1,7,5] => [4,3,2,6,7,1,5] => [3,2,7,4,1,6,5] => 011011
[3,2,6,4,5,1,7] => [5,3,2,6,4,1,7] => [3,2,6,4,5,1,7] => 010110
[3,2,6,4,5,7,1] => [7,3,2,6,4,5,1] => [3,2,6,4,5,7,1] => 010011
[3,2,6,4,7,1,5] => [7,3,2,6,1,4,5] => [3,2,6,1,7,4,5] => 010011
[3,2,6,4,7,5,1] => [5,3,2,7,6,1,4] => [3,2,6,1,7,5,4] => 010111
[3,2,6,5,1,4,7] => [5,3,2,1,6,4,7] => [3,2,6,5,1,4,7] => 010110
[3,2,6,5,1,7,4] => [5,3,2,6,7,4,1] => [3,2,7,4,6,5,1] => 010111
[3,2,6,5,4,1,7] => [4,3,2,5,6,1,7] => [3,2,6,5,4,1,7] => 011110
[3,2,6,5,4,7,1] => [7,3,2,5,6,4,1] => [3,2,6,5,4,7,1] => 010111
[3,2,6,5,7,1,4] => [7,3,2,1,6,5,4] => [3,2,6,5,7,1,4] => 010011
[3,2,6,5,7,4,1] => [4,3,2,7,6,5,1] => [3,2,6,5,7,4,1] => 011011
[3,2,6,7,1,4,5] => [7,3,2,1,4,6,5] => [3,2,6,7,1,4,5] => 010001
[3,2,6,7,1,5,4] => [7,3,2,5,1,6,4] => [3,2,5,1,6,7,4] => 010101
[3,2,6,7,4,1,5] => [4,3,2,7,1,6,5] => [3,2,6,7,4,1,5] => 011001
[3,2,6,7,4,5,1] => [5,3,2,7,4,6,1] => [3,2,6,7,4,5,1] => 010101
[3,2,6,7,5,1,4] => [5,3,2,1,7,6,4] => [3,2,6,7,5,1,4] => 010101
[3,2,6,7,5,4,1] => [4,3,2,5,7,6,1] => [3,2,6,7,5,4,1] => 011101
[3,2,7,1,4,5,6] => [7,3,2,1,4,5,6] => [3,2,7,1,4,5,6] => 010001
[3,2,7,1,4,6,5] => [7,3,2,1,6,4,5] => [3,2,6,1,4,7,5] => 010011
[3,2,7,1,5,4,6] => [7,3,2,5,1,4,6] => [3,2,5,1,7,4,6] => 010101
[3,2,7,1,5,6,4] => [7,3,2,6,1,5,4] => [3,2,6,1,5,7,4] => 010011
[3,2,7,1,6,4,5] => [7,3,2,6,4,1,5] => [3,2,6,4,7,1,5] => 010011
[3,2,7,1,6,5,4] => [7,3,2,5,6,1,4] => [3,2,6,5,1,7,4] => 010111
[3,2,7,4,1,5,6] => [4,3,2,7,1,5,6] => [3,2,7,4,1,5,6] => 011001
[3,2,7,4,1,6,5] => [4,3,2,7,6,1,5] => [3,2,6,4,1,7,5] => 011011
[3,2,7,4,5,1,6] => [5,3,2,7,4,1,6] => [3,2,7,4,5,1,6] => 010101
[3,2,7,4,5,6,1] => [6,3,2,7,4,5,1] => [3,2,7,4,5,6,1] => 010011
[3,2,7,4,6,1,5] => [6,3,2,7,1,4,5] => [3,2,7,1,6,4,5] => 010011
[3,2,7,4,6,5,1] => [5,3,2,6,7,1,4] => [3,2,7,1,6,5,4] => 010111
[3,2,7,5,1,4,6] => [5,3,2,1,7,4,6] => [3,2,7,5,1,4,6] => 010101
[3,2,7,5,1,6,4] => [5,3,2,7,6,4,1] => [3,2,6,4,7,5,1] => 010111
[3,2,7,5,4,1,6] => [4,3,2,5,7,1,6] => [3,2,7,5,4,1,6] => 011101
[3,2,7,5,4,6,1] => [6,3,2,5,7,4,1] => [3,2,7,5,4,6,1] => 010111
[3,2,7,5,6,1,4] => [6,3,2,1,7,5,4] => [3,2,7,5,6,1,4] => 010011
[3,2,7,5,6,4,1] => [4,3,2,6,7,5,1] => [3,2,7,5,6,4,1] => 011011
[3,2,7,6,1,4,5] => [6,3,2,1,4,7,5] => [3,2,7,6,1,4,5] => 010011
[3,2,7,6,1,5,4] => [6,3,2,5,1,7,4] => [3,2,5,1,7,6,4] => 010111
[3,2,7,6,4,1,5] => [4,3,2,6,1,7,5] => [3,2,7,6,4,1,5] => 011011
[3,2,7,6,4,5,1] => [5,3,2,6,4,7,1] => [3,2,7,6,4,5,1] => 010111
[3,2,7,6,5,1,4] => [5,3,2,1,6,7,4] => [3,2,7,6,5,1,4] => 010111
[3,2,7,6,5,4,1] => [4,3,2,5,6,7,1] => [3,2,7,6,5,4,1] => 011111
[3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => [3,4,1,2,5,6,7] => 001000
[3,4,1,2,5,7,6] => [4,1,3,2,5,7,6] => [3,4,1,2,5,7,6] => 001001
[3,4,1,2,6,5,7] => [4,1,3,2,6,5,7] => [3,4,1,2,6,5,7] => 001010
[3,4,1,2,6,7,5] => [4,1,3,2,7,6,5] => [3,4,1,2,6,7,5] => 001001
[3,4,1,2,7,5,6] => [4,1,3,2,7,5,6] => [3,4,1,2,7,5,6] => 001001
[3,4,1,2,7,6,5] => [4,1,3,2,6,7,5] => [3,4,1,2,7,6,5] => 001011
[3,4,1,5,2,6,7] => [4,5,3,1,2,6,7] => [3,5,1,4,2,6,7] => 001100
[3,4,1,5,2,7,6] => [4,5,3,1,2,7,6] => [3,5,1,4,2,7,6] => 001101
[3,4,1,5,6,2,7] => [4,6,3,1,5,2,7] => [3,5,6,1,4,2,7] => 001010
[3,4,1,5,6,7,2] => [4,7,3,1,5,6,2] => [3,5,6,7,1,4,2] => 001001
[3,4,1,5,7,2,6] => [4,7,3,1,5,2,6] => [3,5,7,1,4,2,6] => 001001
[3,4,1,5,7,6,2] => [4,6,3,1,5,7,2] => [3,5,7,6,1,4,2] => 001011
[3,4,1,6,2,5,7] => [4,6,3,1,2,5,7] => [3,6,1,4,2,5,7] => 001010
[3,4,1,6,2,7,5] => [4,6,3,1,7,2,5] => [3,7,1,4,2,6,5] => 001011
[3,4,1,6,5,2,7] => [4,5,3,1,6,2,7] => [3,6,5,1,4,2,7] => 001110
[3,4,1,6,5,7,2] => [4,7,3,1,6,5,2] => [3,6,5,7,1,4,2] => 001011
[3,4,1,6,7,2,5] => [4,7,3,1,2,6,5] => [3,6,7,1,4,2,5] => 001001
[3,4,1,6,7,5,2] => [4,5,3,1,7,6,2] => [3,6,7,5,1,4,2] => 001101
[3,4,1,7,2,5,6] => [4,7,3,1,2,5,6] => [3,7,1,4,2,5,6] => 001001
[3,4,1,7,2,6,5] => [4,7,3,1,6,2,5] => [3,6,1,4,2,7,5] => 001011
[3,4,1,7,5,2,6] => [4,5,3,1,7,2,6] => [3,7,5,1,4,2,6] => 001101
[3,4,1,7,5,6,2] => [4,6,3,1,7,5,2] => [3,7,5,6,1,4,2] => 001011
[3,4,1,7,6,2,5] => [4,6,3,1,2,7,5] => [3,7,6,1,4,2,5] => 001011
[3,4,1,7,6,5,2] => [4,5,3,1,6,7,2] => [3,7,6,5,1,4,2] => 001111
[3,4,2,1,5,6,7] => [2,4,3,1,5,6,7] => [3,4,2,1,5,6,7] => 101000
[3,4,2,1,5,7,6] => [2,4,3,1,5,7,6] => [3,4,2,1,5,7,6] => 101001
[3,4,2,1,6,5,7] => [2,4,3,1,6,5,7] => [3,4,2,1,6,5,7] => 101010
[3,4,2,1,6,7,5] => [2,4,3,1,7,6,5] => [3,4,2,1,6,7,5] => 101001
[3,4,2,1,7,5,6] => [2,4,3,1,7,5,6] => [3,4,2,1,7,5,6] => 101001
[3,4,2,1,7,6,5] => [2,4,3,1,6,7,5] => [3,4,2,1,7,6,5] => 101011
[3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => [3,4,2,5,1,6,7] => 001100
[3,4,2,5,1,7,6] => [5,4,3,2,1,7,6] => [3,4,2,5,1,7,6] => 001101
[3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => [3,4,2,5,6,1,7] => 001010
[3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => [3,4,2,5,6,7,1] => 001001
[3,4,2,5,7,1,6] => [7,4,3,2,5,1,6] => [3,4,2,5,7,1,6] => 001001
[3,4,2,5,7,6,1] => [6,4,3,2,5,7,1] => [3,4,2,5,7,6,1] => 001011
[3,4,2,6,1,5,7] => [6,4,3,2,1,5,7] => [3,4,2,6,1,5,7] => 001010
[3,4,2,6,1,7,5] => [6,4,3,2,7,1,5] => [3,4,2,7,1,6,5] => 001011
[3,4,2,6,5,1,7] => [5,4,3,2,6,1,7] => [3,4,2,6,5,1,7] => 001110
[3,4,2,6,5,7,1] => [7,4,3,2,6,5,1] => [3,4,2,6,5,7,1] => 001011
[3,4,2,6,7,1,5] => [7,4,3,2,1,6,5] => [3,4,2,6,7,1,5] => 001001
[3,4,2,6,7,5,1] => [5,4,3,2,7,6,1] => [3,4,2,6,7,5,1] => 001101
[3,4,2,7,1,5,6] => [7,4,3,2,1,5,6] => [3,4,2,7,1,5,6] => 001001
[3,4,2,7,1,6,5] => [7,4,3,2,6,1,5] => [3,4,2,6,1,7,5] => 001011
[3,4,2,7,5,1,6] => [5,4,3,2,7,1,6] => [3,4,2,7,5,1,6] => 001101
[3,4,2,7,5,6,1] => [6,4,3,2,7,5,1] => [3,4,2,7,5,6,1] => 001011
[3,4,2,7,6,1,5] => [6,4,3,2,1,7,5] => [3,4,2,7,6,1,5] => 001011
[3,4,2,7,6,5,1] => [5,4,3,2,6,7,1] => [3,4,2,7,6,5,1] => 001111
[3,4,5,1,2,6,7] => [5,1,3,4,2,6,7] => [3,4,5,1,2,6,7] => 000100
[3,4,5,1,2,7,6] => [5,1,3,4,2,7,6] => [3,4,5,1,2,7,6] => 000101
[3,4,5,1,6,2,7] => [5,6,3,4,1,2,7] => [3,4,6,1,5,2,7] => 000110
[3,4,5,1,6,7,2] => [5,7,3,4,1,6,2] => [3,4,6,7,1,5,2] => 000101
[3,4,5,1,7,2,6] => [5,7,3,4,1,2,6] => [3,4,7,1,5,2,6] => 000101
[3,4,5,1,7,6,2] => [5,6,3,4,1,7,2] => [3,4,7,6,1,5,2] => 000111
[3,4,5,2,1,6,7] => [2,5,3,4,1,6,7] => [3,4,5,2,1,6,7] => 100100
[3,4,5,2,1,7,6] => [2,5,3,4,1,7,6] => [3,4,5,2,1,7,6] => 100101
[3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => [3,4,5,2,6,1,7] => 000110
[3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => [3,4,5,2,6,7,1] => 000101
[3,4,5,2,7,1,6] => [7,5,3,4,2,1,6] => [3,4,5,2,7,1,6] => 000101
[3,4,5,2,7,6,1] => [6,5,3,4,2,7,1] => [3,4,5,2,7,6,1] => 000111
[3,4,5,6,1,2,7] => [6,1,3,4,5,2,7] => [3,4,5,6,1,2,7] => 000010
[3,4,5,6,1,7,2] => [6,7,3,4,5,1,2] => [3,4,5,7,1,6,2] => 000011
[3,4,5,6,2,1,7] => [2,6,3,4,5,1,7] => [3,4,5,6,2,1,7] => 100010
[3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => [3,4,5,6,2,7,1] => 000011
[3,4,5,6,7,1,2] => [7,1,3,4,5,6,2] => [3,4,5,6,7,1,2] => 000001
[3,4,5,6,7,2,1] => [2,7,3,4,5,6,1] => [3,4,5,6,7,2,1] => 100001
[3,4,5,7,1,2,6] => [7,1,3,4,5,2,6] => [3,4,5,7,1,2,6] => 000001
[3,4,5,7,1,6,2] => [7,6,3,4,5,1,2] => [3,4,5,6,1,7,2] => 000011
[3,4,5,7,2,1,6] => [2,7,3,4,5,1,6] => [3,4,5,7,2,1,6] => 100001
[3,4,5,7,2,6,1] => [6,7,3,4,5,2,1] => [3,4,5,7,2,6,1] => 000011
[3,4,5,7,6,1,2] => [6,1,3,4,5,7,2] => [3,4,5,7,6,1,2] => 000011
[3,4,5,7,6,2,1] => [2,6,3,4,5,7,1] => [3,4,5,7,6,2,1] => 100011
[3,4,6,1,2,5,7] => [6,1,3,4,2,5,7] => [3,4,6,1,2,5,7] => 000010
[3,4,6,1,2,7,5] => [6,1,3,4,7,2,5] => [3,4,7,1,2,6,5] => 000011
[3,4,6,1,5,2,7] => [6,5,3,4,1,2,7] => [3,4,5,1,6,2,7] => 000110
[3,4,6,1,5,7,2] => [6,7,3,4,1,5,2] => [3,4,7,1,5,6,2] => 000011
[3,4,6,1,7,2,5] => [6,7,3,4,2,1,5] => [3,4,7,2,6,1,5] => 000011
[3,4,6,1,7,5,2] => [6,5,3,4,7,1,2] => [3,4,7,5,1,6,2] => 000111
[3,4,6,2,1,5,7] => [2,6,3,4,1,5,7] => [3,4,6,2,1,5,7] => 100010
[3,4,6,2,1,7,5] => [2,6,3,4,7,1,5] => [3,4,7,2,1,6,5] => 100011
[3,4,6,2,5,1,7] => [5,6,3,4,2,1,7] => [3,4,6,2,5,1,7] => 000110
[3,4,6,2,5,7,1] => [7,6,3,4,2,5,1] => [3,4,6,2,5,7,1] => 000011
[3,4,6,2,7,1,5] => [7,6,3,4,1,2,5] => [3,4,6,1,7,2,5] => 000011
[3,4,6,2,7,5,1] => [5,7,3,4,6,1,2] => [3,4,6,1,7,5,2] => 000111
[3,4,6,5,1,2,7] => [5,1,3,4,6,2,7] => [3,4,6,5,1,2,7] => 000110
[3,4,6,5,1,7,2] => [5,6,3,4,7,2,1] => [3,4,7,2,6,5,1] => 000111
[3,4,6,5,2,1,7] => [2,5,3,4,6,1,7] => [3,4,6,5,2,1,7] => 100110
[3,4,6,5,2,7,1] => [7,5,3,4,6,2,1] => [3,4,6,5,2,7,1] => 000111
[3,4,6,5,7,1,2] => [7,1,3,4,6,5,2] => [3,4,6,5,7,1,2] => 000011
[3,4,6,5,7,2,1] => [2,7,3,4,6,5,1] => [3,4,6,5,7,2,1] => 100011
[3,4,6,7,1,2,5] => [7,1,3,4,2,6,5] => [3,4,6,7,1,2,5] => 000001
[3,4,6,7,1,5,2] => [7,5,3,4,1,6,2] => [3,4,5,1,6,7,2] => 000101
[3,4,6,7,2,1,5] => [2,7,3,4,1,6,5] => [3,4,6,7,2,1,5] => 100001
[3,4,6,7,2,5,1] => [5,7,3,4,2,6,1] => [3,4,6,7,2,5,1] => 000101
[3,4,6,7,5,1,2] => [5,1,3,4,7,6,2] => [3,4,6,7,5,1,2] => 000101
[3,4,6,7,5,2,1] => [2,5,3,4,7,6,1] => [3,4,6,7,5,2,1] => 100101
[3,4,7,1,2,5,6] => [7,1,3,4,2,5,6] => [3,4,7,1,2,5,6] => 000001
[3,4,7,1,2,6,5] => [7,1,3,4,6,2,5] => [3,4,6,1,2,7,5] => 000011
[3,4,7,1,5,2,6] => [7,5,3,4,1,2,6] => [3,4,5,1,7,2,6] => 000101
[3,4,7,1,5,6,2] => [7,6,3,4,1,5,2] => [3,4,6,1,5,7,2] => 000011
[3,4,7,1,6,2,5] => [7,6,3,4,2,1,5] => [3,4,6,2,7,1,5] => 000011
[3,4,7,1,6,5,2] => [7,5,3,4,6,1,2] => [3,4,6,5,1,7,2] => 000111
[3,4,7,2,1,5,6] => [2,7,3,4,1,5,6] => [3,4,7,2,1,5,6] => 100001
[3,4,7,2,1,6,5] => [2,7,3,4,6,1,5] => [3,4,6,2,1,7,5] => 100011
[3,4,7,2,5,1,6] => [5,7,3,4,2,1,6] => [3,4,7,2,5,1,6] => 000101
[3,4,7,2,5,6,1] => [6,7,3,4,2,5,1] => [3,4,7,2,5,6,1] => 000011
[3,4,7,2,6,1,5] => [6,7,3,4,1,2,5] => [3,4,7,1,6,2,5] => 000011
[3,4,7,2,6,5,1] => [5,6,3,4,7,1,2] => [3,4,7,1,6,5,2] => 000111
[3,4,7,5,1,2,6] => [5,1,3,4,7,2,6] => [3,4,7,5,1,2,6] => 000101
[3,4,7,5,1,6,2] => [5,7,3,4,6,2,1] => [3,4,6,2,7,5,1] => 000111
[3,4,7,5,2,1,6] => [2,5,3,4,7,1,6] => [3,4,7,5,2,1,6] => 100101
[3,4,7,5,2,6,1] => [6,5,3,4,7,2,1] => [3,4,7,5,2,6,1] => 000111
[3,4,7,5,6,1,2] => [6,1,3,4,7,5,2] => [3,4,7,5,6,1,2] => 000011
[3,4,7,5,6,2,1] => [2,6,3,4,7,5,1] => [3,4,7,5,6,2,1] => 100011
[3,4,7,6,1,2,5] => [6,1,3,4,2,7,5] => [3,4,7,6,1,2,5] => 000011
[3,4,7,6,1,5,2] => [6,5,3,4,1,7,2] => [3,4,5,1,7,6,2] => 000111
[3,4,7,6,2,1,5] => [2,6,3,4,1,7,5] => [3,4,7,6,2,1,5] => 100011
[3,4,7,6,2,5,1] => [5,6,3,4,2,7,1] => [3,4,7,6,2,5,1] => 000111
[3,4,7,6,5,1,2] => [5,1,3,4,6,7,2] => [3,4,7,6,5,1,2] => 000111
[3,4,7,6,5,2,1] => [2,5,3,4,6,7,1] => [3,4,7,6,5,2,1] => 100111
[3,5,1,2,4,6,7] => [5,1,3,2,4,6,7] => [3,5,1,2,4,6,7] => 000100
[3,5,1,2,4,7,6] => [5,1,3,2,4,7,6] => [3,5,1,2,4,7,6] => 000101
[3,5,1,2,6,4,7] => [5,1,3,6,2,4,7] => [3,6,1,2,5,4,7] => 000110
[3,5,1,2,6,7,4] => [5,1,3,7,2,6,4] => [3,6,7,1,2,5,4] => 000101
[3,5,1,2,7,4,6] => [5,1,3,7,2,4,6] => [3,7,1,2,5,4,6] => 000101
[3,5,1,2,7,6,4] => [5,1,3,6,2,7,4] => [3,7,6,1,2,5,4] => 000111
[3,5,1,4,2,6,7] => [5,4,3,1,2,6,7] => [3,4,1,5,2,6,7] => 001100
[3,5,1,4,2,7,6] => [5,4,3,1,2,7,6] => [3,4,1,5,2,7,6] => 001101
[3,5,1,4,6,2,7] => [5,6,3,1,4,2,7] => [3,6,1,4,5,2,7] => 000110
[3,5,1,4,6,7,2] => [5,7,3,1,4,6,2] => [3,6,7,1,4,5,2] => 000101
[3,5,1,4,7,2,6] => [5,7,3,1,4,2,6] => [3,7,1,4,5,2,6] => 000101
[3,5,1,4,7,6,2] => [5,6,3,1,4,7,2] => [3,7,6,1,4,5,2] => 000111
[3,5,1,6,2,4,7] => [5,6,3,2,1,4,7] => [3,6,2,5,1,4,7] => 000110
[3,5,1,6,2,7,4] => [5,6,3,7,1,2,4] => [3,7,1,6,2,5,4] => 000111
[3,5,1,6,4,2,7] => [5,4,3,6,1,2,7] => [3,6,4,1,5,2,7] => 001110
[3,5,1,6,4,7,2] => [5,7,3,6,1,4,2] => [3,6,1,7,4,5,2] => 000111
[3,5,1,6,7,2,4] => [5,7,3,2,1,6,4] => [3,6,7,2,5,1,4] => 000101
[3,5,1,6,7,4,2] => [5,4,3,7,1,6,2] => [3,6,7,4,1,5,2] => 001101
[3,5,1,7,2,4,6] => [5,7,3,2,1,4,6] => [3,7,2,5,1,4,6] => 000101
[3,5,1,7,2,6,4] => [5,7,3,6,1,2,4] => [3,6,1,7,2,5,4] => 000111
[3,5,1,7,4,2,6] => [5,4,3,7,1,2,6] => [3,7,4,1,5,2,6] => 001101
[3,5,1,7,4,6,2] => [5,6,3,7,1,4,2] => [3,7,1,6,4,5,2] => 000111
[3,5,1,7,6,2,4] => [5,6,3,2,1,7,4] => [3,7,6,2,5,1,4] => 000111
[3,5,1,7,6,4,2] => [5,4,3,6,1,7,2] => [3,7,6,4,1,5,2] => 001111
[3,5,2,1,4,6,7] => [2,5,3,1,4,6,7] => [3,5,2,1,4,6,7] => 100100
[3,5,2,1,4,7,6] => [2,5,3,1,4,7,6] => [3,5,2,1,4,7,6] => 100101
[3,5,2,1,6,4,7] => [2,5,3,6,1,4,7] => [3,6,2,1,5,4,7] => 100110
[3,5,2,1,6,7,4] => [2,5,3,7,1,6,4] => [3,6,7,2,1,5,4] => 100101
[3,5,2,1,7,4,6] => [2,5,3,7,1,4,6] => [3,7,2,1,5,4,6] => 100101
[3,5,2,1,7,6,4] => [2,5,3,6,1,7,4] => [3,7,6,2,1,5,4] => 100111
[3,5,2,4,1,6,7] => [4,5,3,2,1,6,7] => [3,5,2,4,1,6,7] => 001100
[3,5,2,4,1,7,6] => [4,5,3,2,1,7,6] => [3,5,2,4,1,7,6] => 001101
[3,5,2,4,6,1,7] => [6,5,3,2,4,1,7] => [3,5,2,4,6,1,7] => 000110
[3,5,2,4,6,7,1] => [7,5,3,2,4,6,1] => [3,5,2,4,6,7,1] => 000101
[3,5,2,4,7,1,6] => [7,5,3,2,4,1,6] => [3,5,2,4,7,1,6] => 000101
[3,5,2,4,7,6,1] => [6,5,3,2,4,7,1] => [3,5,2,4,7,6,1] => 000111
[3,5,2,6,1,4,7] => [6,5,3,1,2,4,7] => [3,5,1,6,2,4,7] => 000110
[3,5,2,6,1,7,4] => [6,5,3,7,2,1,4] => [3,7,2,5,1,6,4] => 000111
[3,5,2,6,4,1,7] => [4,6,3,5,1,2,7] => [3,5,1,6,4,2,7] => 001110
[3,5,2,6,4,7,1] => [7,5,3,6,2,4,1] => [3,6,2,5,4,7,1] => 000111
[3,5,2,6,7,1,4] => [7,5,3,1,2,6,4] => [3,5,1,6,7,2,4] => 000101
[3,5,2,6,7,4,1] => [4,7,3,5,1,6,2] => [3,5,1,6,7,4,2] => 001101
[3,5,2,7,1,4,6] => [7,5,3,1,2,4,6] => [3,5,1,7,2,4,6] => 000101
[3,5,2,7,1,6,4] => [7,5,3,6,2,1,4] => [3,6,2,5,1,7,4] => 000111
[3,5,2,7,4,1,6] => [4,7,3,5,1,2,6] => [3,5,1,7,4,2,6] => 001101
[3,5,2,7,4,6,1] => [6,5,3,7,2,4,1] => [3,7,2,5,4,6,1] => 000111
[3,5,2,7,6,1,4] => [6,5,3,1,2,7,4] => [3,5,1,7,6,2,4] => 000111
[3,5,2,7,6,4,1] => [4,6,3,5,1,7,2] => [3,5,1,7,6,4,2] => 001111
[3,5,4,1,2,6,7] => [4,1,3,5,2,6,7] => [3,5,4,1,2,6,7] => 001100
[3,5,4,1,2,7,6] => [4,1,3,5,2,7,6] => [3,5,4,1,2,7,6] => 001101
[3,5,4,1,6,2,7] => [4,5,3,6,2,1,7] => [3,6,2,5,4,1,7] => 001110
[3,5,4,1,6,7,2] => [4,5,3,7,2,6,1] => [3,6,7,2,5,4,1] => 001101
[3,5,4,1,7,2,6] => [4,5,3,7,2,1,6] => [3,7,2,5,4,1,6] => 001101
[3,5,4,1,7,6,2] => [4,5,3,6,2,7,1] => [3,7,6,2,5,4,1] => 001111
[3,5,4,2,1,6,7] => [2,4,3,5,1,6,7] => [3,5,4,2,1,6,7] => 101100
[3,5,4,2,1,7,6] => [2,4,3,5,1,7,6] => [3,5,4,2,1,7,6] => 101101
[3,5,4,2,6,1,7] => [6,4,3,5,2,1,7] => [3,5,4,2,6,1,7] => 001110
[3,5,4,2,6,7,1] => [7,4,3,5,2,6,1] => [3,5,4,2,6,7,1] => 001101
[3,5,4,2,7,1,6] => [7,4,3,5,2,1,6] => [3,5,4,2,7,1,6] => 001101
[3,5,4,2,7,6,1] => [6,4,3,5,2,7,1] => [3,5,4,2,7,6,1] => 001111
[3,5,4,6,1,2,7] => [6,1,3,5,4,2,7] => [3,5,4,6,1,2,7] => 000110
[3,5,4,6,1,7,2] => [6,7,3,5,4,1,2] => [3,5,4,7,1,6,2] => 000111
[3,5,4,6,2,1,7] => [2,6,3,5,4,1,7] => [3,5,4,6,2,1,7] => 100110
[3,5,4,6,2,7,1] => [7,6,3,5,4,2,1] => [3,5,4,6,2,7,1] => 000111
[3,5,4,6,7,1,2] => [7,1,3,5,4,6,2] => [3,5,4,6,7,1,2] => 000101
[3,5,4,6,7,2,1] => [2,7,3,5,4,6,1] => [3,5,4,6,7,2,1] => 100101
[3,5,4,7,1,2,6] => [7,1,3,5,4,2,6] => [3,5,4,7,1,2,6] => 000101
[3,5,4,7,1,6,2] => [7,6,3,5,4,1,2] => [3,5,4,6,1,7,2] => 000111
[3,5,4,7,2,1,6] => [2,7,3,5,4,1,6] => [3,5,4,7,2,1,6] => 100101
[3,5,4,7,2,6,1] => [6,7,3,5,4,2,1] => [3,5,4,7,2,6,1] => 000111
[3,5,4,7,6,1,2] => [6,1,3,5,4,7,2] => [3,5,4,7,6,1,2] => 000111
[3,5,4,7,6,2,1] => [2,6,3,5,4,7,1] => [3,5,4,7,6,2,1] => 100111
[3,5,6,1,2,4,7] => [6,1,3,2,5,4,7] => [3,5,6,1,2,4,7] => 000010
[3,5,6,1,2,7,4] => [6,1,3,7,5,2,4] => [3,5,7,1,2,6,4] => 000011
[3,5,6,1,4,2,7] => [6,4,3,1,5,2,7] => [3,4,1,5,6,2,7] => 001010
[3,5,6,1,4,7,2] => [6,7,3,1,5,4,2] => [3,5,7,1,4,6,2] => 000011
[3,5,6,1,7,2,4] => [6,7,3,2,5,1,4] => [3,5,7,2,6,1,4] => 000011
[3,5,6,1,7,4,2] => [6,4,3,7,5,1,2] => [3,5,7,4,1,6,2] => 001011
[3,5,6,2,1,4,7] => [2,6,3,1,5,4,7] => [3,5,6,2,1,4,7] => 100010
[3,5,6,2,1,7,4] => [2,6,3,7,5,1,4] => [3,5,7,2,1,6,4] => 100011
[3,5,6,2,4,1,7] => [4,6,3,2,5,1,7] => [3,5,6,2,4,1,7] => 001010
[3,5,6,2,4,7,1] => [7,6,3,2,5,4,1] => [3,5,6,2,4,7,1] => 000011
[3,5,6,2,7,1,4] => [7,6,3,1,5,2,4] => [3,5,6,1,7,2,4] => 000011
[3,5,6,2,7,4,1] => [4,7,3,6,5,1,2] => [3,5,6,1,7,4,2] => 001011
[3,5,6,4,1,2,7] => [4,1,3,6,5,2,7] => [3,5,6,4,1,2,7] => 001010
[3,5,6,4,1,7,2] => [4,6,3,7,5,2,1] => [3,5,7,2,6,4,1] => 001011
[3,5,6,4,2,1,7] => [2,4,3,6,5,1,7] => [3,5,6,4,2,1,7] => 101010
[3,5,6,4,2,7,1] => [7,4,3,6,5,2,1] => [3,5,6,4,2,7,1] => 001011
[3,5,6,4,7,1,2] => [7,1,3,6,5,4,2] => [3,5,6,4,7,1,2] => 000011
[3,5,6,4,7,2,1] => [2,7,3,6,5,4,1] => [3,5,6,4,7,2,1] => 100011
[3,5,6,7,1,2,4] => [7,1,3,2,5,6,4] => [3,5,6,7,1,2,4] => 000001
[3,5,6,7,1,4,2] => [7,4,3,1,5,6,2] => [3,4,1,5,6,7,2] => 001001
[3,5,6,7,2,1,4] => [2,7,3,1,5,6,4] => [3,5,6,7,2,1,4] => 100001
[3,5,6,7,2,4,1] => [4,7,3,2,5,6,1] => [3,5,6,7,2,4,1] => 001001
[3,5,6,7,4,1,2] => [4,1,3,7,5,6,2] => [3,5,6,7,4,1,2] => 001001
[3,5,6,7,4,2,1] => [2,4,3,7,5,6,1] => [3,5,6,7,4,2,1] => 101001
[3,5,7,1,2,4,6] => [7,1,3,2,5,4,6] => [3,5,7,1,2,4,6] => 000001
[3,5,7,1,2,6,4] => [7,1,3,6,5,2,4] => [3,5,6,1,2,7,4] => 000011
[3,5,7,1,4,2,6] => [7,4,3,1,5,2,6] => [3,4,1,5,7,2,6] => 001001
[3,5,7,1,4,6,2] => [7,6,3,1,5,4,2] => [3,5,6,1,4,7,2] => 000011
[3,5,7,1,6,2,4] => [7,6,3,2,5,1,4] => [3,5,6,2,7,1,4] => 000011
[3,5,7,1,6,4,2] => [7,4,3,6,5,1,2] => [3,5,6,4,1,7,2] => 001011
[3,5,7,2,1,4,6] => [2,7,3,1,5,4,6] => [3,5,7,2,1,4,6] => 100001
[3,5,7,2,1,6,4] => [2,7,3,6,5,1,4] => [3,5,6,2,1,7,4] => 100011
[3,5,7,2,4,1,6] => [4,7,3,2,5,1,6] => [3,5,7,2,4,1,6] => 001001
[3,5,7,2,4,6,1] => [6,7,3,2,5,4,1] => [3,5,7,2,4,6,1] => 000011
[3,5,7,2,6,1,4] => [6,7,3,1,5,2,4] => [3,5,7,1,6,2,4] => 000011
[3,5,7,2,6,4,1] => [4,6,3,7,5,1,2] => [3,5,7,1,6,4,2] => 001011
[3,5,7,4,1,2,6] => [4,1,3,7,5,2,6] => [3,5,7,4,1,2,6] => 001001
[3,5,7,4,1,6,2] => [4,7,3,6,5,2,1] => [3,5,6,2,7,4,1] => 001011
[3,5,7,4,2,1,6] => [2,4,3,7,5,1,6] => [3,5,7,4,2,1,6] => 101001
[3,5,7,4,2,6,1] => [6,4,3,7,5,2,1] => [3,5,7,4,2,6,1] => 001011
[3,5,7,4,6,1,2] => [6,1,3,7,5,4,2] => [3,5,7,4,6,1,2] => 000011
[3,5,7,4,6,2,1] => [2,6,3,7,5,4,1] => [3,5,7,4,6,2,1] => 100011
[3,5,7,6,1,2,4] => [6,1,3,2,5,7,4] => [3,5,7,6,1,2,4] => 000011
[3,5,7,6,1,4,2] => [6,4,3,1,5,7,2] => [3,4,1,5,7,6,2] => 001011
[3,5,7,6,2,1,4] => [2,6,3,1,5,7,4] => [3,5,7,6,2,1,4] => 100011
[3,5,7,6,2,4,1] => [4,6,3,2,5,7,1] => [3,5,7,6,2,4,1] => 001011
[3,5,7,6,4,1,2] => [4,1,3,6,5,7,2] => [3,5,7,6,4,1,2] => 001011
[3,5,7,6,4,2,1] => [2,4,3,6,5,7,1] => [3,5,7,6,4,2,1] => 101011
[3,6,1,2,4,5,7] => [6,1,3,2,4,5,7] => [3,6,1,2,4,5,7] => 000010
[3,6,1,2,4,7,5] => [6,1,3,2,7,4,5] => [3,7,1,2,4,6,5] => 000011
[3,6,1,2,5,4,7] => [6,1,3,5,2,4,7] => [3,5,1,2,6,4,7] => 000110
[3,6,1,2,5,7,4] => [6,1,3,7,2,5,4] => [3,7,1,2,5,6,4] => 000011
[3,6,1,2,7,4,5] => [6,1,3,7,4,2,5] => [3,7,4,6,1,2,5] => 000011
[3,6,1,2,7,5,4] => [6,1,3,5,7,2,4] => [3,7,5,1,2,6,4] => 000111
[3,6,1,4,2,5,7] => [6,4,3,1,2,5,7] => [3,4,1,6,2,5,7] => 001010
[3,6,1,4,2,7,5] => [6,4,3,1,7,2,5] => [3,4,1,7,2,6,5] => 001011
[3,6,1,4,5,2,7] => [6,5,3,1,4,2,7] => [3,5,1,4,6,2,7] => 000110
[3,6,1,4,5,7,2] => [6,7,3,1,4,5,2] => [3,7,1,4,5,6,2] => 000011
[3,6,1,4,7,2,5] => [6,7,3,1,2,4,5] => [3,7,1,6,2,4,5] => 000011
[3,6,1,4,7,5,2] => [6,5,3,1,7,4,2] => [3,7,5,1,4,6,2] => 000111
[3,6,1,5,2,4,7] => [6,5,3,2,1,4,7] => [3,5,2,6,1,4,7] => 000110
[3,6,1,5,2,7,4] => [6,5,3,7,1,2,4] => [3,7,1,5,2,6,4] => 000111
[3,6,1,5,4,2,7] => [6,4,3,5,1,2,7] => [3,5,4,1,6,2,7] => 001110
[3,6,1,5,4,7,2] => [6,7,3,5,1,4,2] => [3,5,1,7,4,6,2] => 000111
[3,6,1,5,7,2,4] => [6,7,3,2,1,5,4] => [3,7,2,5,6,1,4] => 000011
[3,6,1,5,7,4,2] => [6,4,3,7,1,5,2] => [3,7,4,1,5,6,2] => 001011
[3,6,1,7,2,4,5] => [6,7,3,2,4,1,5] => [3,7,2,4,6,1,5] => 000011
[3,6,1,7,2,5,4] => [6,7,3,5,2,1,4] => [3,5,2,7,1,6,4] => 000111
[3,6,1,7,4,2,5] => [6,4,3,7,2,1,5] => [3,7,4,2,6,1,5] => 001011
[3,6,1,7,4,5,2] => [6,5,3,7,4,1,2] => [3,7,4,5,1,6,2] => 000111
[3,6,1,7,5,2,4] => [6,5,3,2,7,1,4] => [3,7,5,2,6,1,4] => 000111
[3,6,1,7,5,4,2] => [6,4,3,5,7,1,2] => [3,7,5,4,1,6,2] => 001111
[3,6,2,1,4,5,7] => [2,6,3,1,4,5,7] => [3,6,2,1,4,5,7] => 100010
[3,6,2,1,4,7,5] => [2,6,3,1,7,4,5] => [3,7,2,1,4,6,5] => 100011
[3,6,2,1,5,4,7] => [2,6,3,5,1,4,7] => [3,5,2,1,6,4,7] => 100110
[3,6,2,1,5,7,4] => [2,6,3,7,1,5,4] => [3,7,2,1,5,6,4] => 100011
[3,6,2,1,7,4,5] => [2,6,3,7,4,1,5] => [3,7,4,6,2,1,5] => 100011
[3,6,2,1,7,5,4] => [2,6,3,5,7,1,4] => [3,7,5,2,1,6,4] => 100111
[3,6,2,4,1,5,7] => [4,6,3,2,1,5,7] => [3,6,2,4,1,5,7] => 001010
[3,6,2,4,1,7,5] => [4,6,3,2,7,1,5] => [3,7,2,4,1,6,5] => 001011
[3,6,2,4,5,1,7] => [5,6,3,2,4,1,7] => [3,6,2,4,5,1,7] => 000110
[3,6,2,4,5,7,1] => [7,6,3,2,4,5,1] => [3,6,2,4,5,7,1] => 000011
[3,6,2,4,7,1,5] => [7,6,3,2,1,4,5] => [3,6,2,7,1,4,5] => 000011
[3,6,2,4,7,5,1] => [5,7,3,1,6,4,2] => [3,6,1,4,7,5,2] => 000111
[3,6,2,5,1,4,7] => [5,6,3,1,2,4,7] => [3,6,1,5,2,4,7] => 000110
[3,6,2,5,1,7,4] => [5,6,3,7,2,1,4] => [3,7,2,6,1,5,4] => 000111
[3,6,2,5,4,1,7] => [4,5,3,6,1,2,7] => [3,6,1,5,4,2,7] => 001110
[3,6,2,5,4,7,1] => [7,6,3,5,2,4,1] => [3,5,2,6,4,7,1] => 000111
[3,6,2,5,7,1,4] => [7,6,3,1,2,5,4] => [3,6,1,5,7,2,4] => 000011
[3,6,2,5,7,4,1] => [4,7,3,6,1,5,2] => [3,6,1,5,7,4,2] => 001011
[3,6,2,7,1,4,5] => [7,6,3,1,4,2,5] => [3,6,1,4,7,2,5] => 000011
[3,6,2,7,1,5,4] => [7,6,3,5,1,2,4] => [3,5,1,6,2,7,4] => 000111
[3,6,2,7,4,1,5] => [4,7,3,6,2,1,5] => [3,6,2,7,4,1,5] => 001011
[3,6,2,7,4,5,1] => [5,6,3,7,4,2,1] => [3,7,4,6,2,5,1] => 000111
[3,6,2,7,5,1,4] => [5,7,3,2,6,1,4] => [3,6,2,7,5,1,4] => 000111
[3,6,2,7,5,4,1] => [4,5,3,7,6,2,1] => [3,6,2,7,5,4,1] => 001111
[3,6,4,1,2,5,7] => [4,1,3,6,2,5,7] => [3,6,4,1,2,5,7] => 001010
[3,6,4,1,2,7,5] => [4,1,3,6,7,2,5] => [3,7,4,1,2,6,5] => 001011
[3,6,4,1,5,2,7] => [4,6,3,5,2,1,7] => [3,5,2,6,4,1,7] => 001110
[3,6,4,1,5,7,2] => [4,6,3,7,2,5,1] => [3,7,2,5,6,4,1] => 001011
[3,6,4,1,7,2,5] => [4,6,3,7,1,2,5] => [3,7,1,6,4,2,5] => 001011
[3,6,4,1,7,5,2] => [4,6,3,5,7,2,1] => [3,7,5,2,6,4,1] => 001111
[3,6,4,2,1,5,7] => [2,4,3,6,1,5,7] => [3,6,4,2,1,5,7] => 101010
[3,6,4,2,1,7,5] => [2,4,3,6,7,1,5] => [3,7,4,2,1,6,5] => 101011
[3,6,4,2,5,1,7] => [5,4,3,6,2,1,7] => [3,6,4,2,5,1,7] => 001110
[3,6,4,2,5,7,1] => [7,4,3,6,2,5,1] => [3,6,4,2,5,7,1] => 001011
[3,6,4,2,7,1,5] => [7,4,3,6,1,2,5] => [3,6,4,1,7,2,5] => 001011
[3,6,4,2,7,5,1] => [5,4,3,7,6,1,2] => [3,6,4,1,7,5,2] => 001111
[3,6,4,5,1,2,7] => [5,1,3,6,4,2,7] => [3,6,4,5,1,2,7] => 000110
[3,6,4,5,1,7,2] => [5,7,3,6,4,1,2] => [3,6,4,7,1,5,2] => 000111
[3,6,4,5,2,1,7] => [2,5,3,6,4,1,7] => [3,6,4,5,2,1,7] => 100110
[3,6,4,5,2,7,1] => [7,5,3,6,4,2,1] => [3,6,4,5,2,7,1] => 000111
[3,6,4,5,7,1,2] => [7,1,3,6,4,5,2] => [3,6,4,5,7,1,2] => 000011
[3,6,4,5,7,2,1] => [2,7,3,6,4,5,1] => [3,6,4,5,7,2,1] => 100011
[3,6,4,7,1,2,5] => [7,1,3,6,2,4,5] => [3,6,1,2,7,4,5] => 000011
[3,6,4,7,1,5,2] => [7,5,3,6,1,4,2] => [3,6,1,5,4,7,2] => 000111
[3,6,4,7,2,1,5] => [2,7,3,6,1,4,5] => [3,6,2,1,7,4,5] => 100011
[3,6,4,7,2,5,1] => [5,7,3,6,2,4,1] => [3,6,2,7,4,5,1] => 000111
[3,6,4,7,5,1,2] => [5,1,3,7,6,2,4] => [3,6,1,2,7,5,4] => 000111
[3,6,4,7,5,2,1] => [2,5,3,7,6,1,4] => [3,6,2,1,7,5,4] => 100111
[3,6,5,1,2,4,7] => [5,1,3,2,6,4,7] => [3,6,5,1,2,4,7] => 000110
[3,6,5,1,2,7,4] => [5,1,3,6,7,4,2] => [3,7,4,6,5,1,2] => 000111
[3,6,5,1,4,2,7] => [5,4,3,1,6,2,7] => [3,4,1,6,5,2,7] => 001110
[3,6,5,1,4,7,2] => [5,6,3,2,7,4,1] => [3,7,2,4,6,5,1] => 000111
[3,6,5,1,7,2,4] => [5,6,3,1,7,2,4] => [3,7,1,6,5,2,4] => 000111
[3,6,5,1,7,4,2] => [5,4,3,6,7,2,1] => [3,7,4,2,6,5,1] => 001111
[3,6,5,2,1,4,7] => [2,5,3,1,6,4,7] => [3,6,5,2,1,4,7] => 100110
[3,6,5,2,1,7,4] => [2,5,3,6,7,4,1] => [3,7,4,6,5,2,1] => 100111
[3,6,5,2,4,1,7] => [4,5,3,2,6,1,7] => [3,6,5,2,4,1,7] => 001110
[3,6,5,2,4,7,1] => [7,5,3,2,6,4,1] => [3,6,5,2,4,7,1] => 000111
[3,6,5,2,7,1,4] => [7,5,3,1,6,2,4] => [3,6,5,1,7,2,4] => 000111
[3,6,5,2,7,4,1] => [4,7,3,5,6,1,2] => [3,6,5,1,7,4,2] => 001111
[3,6,5,4,1,2,7] => [4,1,3,5,6,2,7] => [3,6,5,4,1,2,7] => 001110
[3,6,5,4,1,7,2] => [4,5,3,6,7,1,2] => [3,7,1,6,5,4,2] => 001111
[3,6,5,4,2,1,7] => [2,4,3,5,6,1,7] => [3,6,5,4,2,1,7] => 101110
[3,6,5,4,2,7,1] => [7,4,3,5,6,2,1] => [3,6,5,4,2,7,1] => 001111
[3,6,5,4,7,1,2] => [7,1,3,5,6,4,2] => [3,6,5,4,7,1,2] => 000111
[3,6,5,4,7,2,1] => [2,7,3,5,6,4,1] => [3,6,5,4,7,2,1] => 100111
[3,6,5,7,1,2,4] => [7,1,3,2,6,5,4] => [3,6,5,7,1,2,4] => 000011
[3,6,5,7,1,4,2] => [7,4,3,1,6,5,2] => [3,4,1,6,5,7,2] => 001011
[3,6,5,7,2,1,4] => [2,7,3,1,6,5,4] => [3,6,5,7,2,1,4] => 100011
[3,6,5,7,2,4,1] => [4,7,3,2,6,5,1] => [3,6,5,7,2,4,1] => 001011
[3,6,5,7,4,1,2] => [4,1,3,7,6,5,2] => [3,6,5,7,4,1,2] => 001011
[3,6,5,7,4,2,1] => [2,4,3,7,6,5,1] => [3,6,5,7,4,2,1] => 101011
[3,6,7,1,2,4,5] => [7,1,3,2,4,6,5] => [3,6,7,1,2,4,5] => 000001
[3,6,7,1,2,5,4] => [7,1,3,5,2,6,4] => [3,5,1,2,6,7,4] => 000101
[3,6,7,1,4,2,5] => [7,4,3,1,2,6,5] => [3,4,1,6,7,2,5] => 001001
[3,6,7,1,4,5,2] => [7,5,3,1,4,6,2] => [3,5,1,4,6,7,2] => 000101
[3,6,7,1,5,2,4] => [7,5,3,2,1,6,4] => [3,5,2,6,7,1,4] => 000101
[3,6,7,1,5,4,2] => [7,4,3,5,1,6,2] => [3,5,4,1,6,7,2] => 001101
[3,6,7,2,1,4,5] => [2,7,3,1,4,6,5] => [3,6,7,2,1,4,5] => 100001
[3,6,7,2,1,5,4] => [2,7,3,5,1,6,4] => [3,5,2,1,6,7,4] => 100101
[3,6,7,2,4,1,5] => [4,7,3,2,1,6,5] => [3,6,7,2,4,1,5] => 001001
[3,6,7,2,4,5,1] => [5,7,3,2,4,6,1] => [3,6,7,2,4,5,1] => 000101
[3,6,7,2,5,1,4] => [5,7,3,1,2,6,4] => [3,6,7,1,5,2,4] => 000101
[3,6,7,2,5,4,1] => [4,5,3,7,1,6,2] => [3,6,7,1,5,4,2] => 001101
[3,6,7,4,1,2,5] => [4,1,3,7,2,6,5] => [3,6,7,4,1,2,5] => 001001
[3,6,7,4,1,5,2] => [4,7,3,5,2,6,1] => [3,5,2,6,7,4,1] => 001101
[3,6,7,4,2,1,5] => [2,4,3,7,1,6,5] => [3,6,7,4,2,1,5] => 101001
[3,6,7,4,2,5,1] => [5,4,3,7,2,6,1] => [3,6,7,4,2,5,1] => 001101
[3,6,7,4,5,1,2] => [5,1,3,7,4,6,2] => [3,6,7,4,5,1,2] => 000101
[3,6,7,4,5,2,1] => [2,5,3,7,4,6,1] => [3,6,7,4,5,2,1] => 100101
[3,6,7,5,1,2,4] => [5,1,3,2,7,6,4] => [3,6,7,5,1,2,4] => 000101
[3,6,7,5,1,4,2] => [5,4,3,1,7,6,2] => [3,4,1,6,7,5,2] => 001101
[3,6,7,5,2,1,4] => [2,5,3,1,7,6,4] => [3,6,7,5,2,1,4] => 100101
[3,6,7,5,2,4,1] => [4,5,3,2,7,6,1] => [3,6,7,5,2,4,1] => 001101
[3,6,7,5,4,1,2] => [4,1,3,5,7,6,2] => [3,6,7,5,4,1,2] => 001101
[3,6,7,5,4,2,1] => [2,4,3,5,7,6,1] => [3,6,7,5,4,2,1] => 101101
[3,7,1,2,4,5,6] => [7,1,3,2,4,5,6] => [3,7,1,2,4,5,6] => 000001
[3,7,1,2,4,6,5] => [7,1,3,2,6,4,5] => [3,6,1,2,4,7,5] => 000011
[3,7,1,2,5,4,6] => [7,1,3,5,2,4,6] => [3,5,1,2,7,4,6] => 000101
[3,7,1,2,5,6,4] => [7,1,3,6,2,5,4] => [3,6,1,2,5,7,4] => 000011
[3,7,1,2,6,4,5] => [7,1,3,6,4,2,5] => [3,6,4,7,1,2,5] => 000011
[3,7,1,2,6,5,4] => [7,1,3,5,6,2,4] => [3,6,5,1,2,7,4] => 000111
[3,7,1,4,2,5,6] => [7,4,3,1,2,5,6] => [3,4,1,7,2,5,6] => 001001
[3,7,1,4,2,6,5] => [7,4,3,1,6,2,5] => [3,4,1,6,2,7,5] => 001011
[3,7,1,4,5,2,6] => [7,5,3,1,4,2,6] => [3,5,1,4,7,2,6] => 000101
[3,7,1,4,5,6,2] => [7,6,3,1,4,5,2] => [3,6,1,4,5,7,2] => 000011
[3,7,1,4,6,2,5] => [7,6,3,1,2,4,5] => [3,6,1,7,2,4,5] => 000011
[3,7,1,4,6,5,2] => [7,5,3,1,6,4,2] => [3,6,5,1,4,7,2] => 000111
[3,7,1,5,2,4,6] => [7,5,3,2,1,4,6] => [3,5,2,7,1,4,6] => 000101
[3,7,1,5,2,6,4] => [7,5,3,6,1,2,4] => [3,6,1,5,2,7,4] => 000111
[3,7,1,5,4,2,6] => [7,4,3,5,1,2,6] => [3,5,4,1,7,2,6] => 001101
[3,7,1,5,4,6,2] => [7,6,3,5,1,4,2] => [3,5,1,6,4,7,2] => 000111
[3,7,1,5,6,2,4] => [7,6,3,2,1,5,4] => [3,6,2,5,7,1,4] => 000011
[3,7,1,5,6,4,2] => [7,4,3,6,1,5,2] => [3,6,4,1,5,7,2] => 001011
[3,7,1,6,2,4,5] => [7,6,3,2,4,1,5] => [3,6,2,4,7,1,5] => 000011
[3,7,1,6,2,5,4] => [7,6,3,5,2,1,4] => [3,5,2,6,1,7,4] => 000111
[3,7,1,6,4,2,5] => [7,4,3,6,2,1,5] => [3,6,4,2,7,1,5] => 001011
[3,7,1,6,4,5,2] => [7,5,3,6,4,1,2] => [3,6,4,5,1,7,2] => 000111
[3,7,1,6,5,2,4] => [7,5,3,2,6,1,4] => [3,6,5,2,7,1,4] => 000111
[3,7,1,6,5,4,2] => [7,4,3,5,6,1,2] => [3,6,5,4,1,7,2] => 001111
[3,7,2,1,4,5,6] => [2,7,3,1,4,5,6] => [3,7,2,1,4,5,6] => 100001
[3,7,2,1,4,6,5] => [2,7,3,1,6,4,5] => [3,6,2,1,4,7,5] => 100011
[3,7,2,1,5,4,6] => [2,7,3,5,1,4,6] => [3,5,2,1,7,4,6] => 100101
[3,7,2,1,5,6,4] => [2,7,3,6,1,5,4] => [3,6,2,1,5,7,4] => 100011
[3,7,2,1,6,4,5] => [2,7,3,6,4,1,5] => [3,6,4,7,2,1,5] => 100011
[3,7,2,1,6,5,4] => [2,7,3,5,6,1,4] => [3,6,5,2,1,7,4] => 100111
[3,7,2,4,1,5,6] => [4,7,3,2,1,5,6] => [3,7,2,4,1,5,6] => 001001
[3,7,2,4,1,6,5] => [4,7,3,2,6,1,5] => [3,6,2,4,1,7,5] => 001011
[3,7,2,4,5,1,6] => [5,7,3,2,4,1,6] => [3,7,2,4,5,1,6] => 000101
[3,7,2,4,5,6,1] => [6,7,3,2,4,5,1] => [3,7,2,4,5,6,1] => 000011
[3,7,2,4,6,1,5] => [6,7,3,2,1,4,5] => [3,7,2,6,1,4,5] => 000011
[3,7,2,4,6,5,1] => [5,6,3,1,7,4,2] => [3,7,1,4,6,5,2] => 000111
[3,7,2,5,1,4,6] => [5,7,3,1,2,4,6] => [3,7,1,5,2,4,6] => 000101
[3,7,2,5,1,6,4] => [5,7,3,6,2,1,4] => [3,6,2,7,1,5,4] => 000111
[3,7,2,5,4,1,6] => [4,5,3,7,1,2,6] => [3,7,1,5,4,2,6] => 001101
[3,7,2,5,4,6,1] => [6,7,3,5,2,4,1] => [3,5,2,7,4,6,1] => 000111
[3,7,2,5,6,1,4] => [6,7,3,1,2,5,4] => [3,7,1,5,6,2,4] => 000011
[3,7,2,5,6,4,1] => [4,6,3,7,1,5,2] => [3,7,1,5,6,4,2] => 001011
[3,7,2,6,1,4,5] => [6,7,3,1,4,2,5] => [3,7,1,4,6,2,5] => 000011
[3,7,2,6,1,5,4] => [6,7,3,5,1,2,4] => [3,5,1,7,2,6,4] => 000111
[3,7,2,6,4,1,5] => [4,6,3,7,2,1,5] => [3,7,2,6,4,1,5] => 001011
[3,7,2,6,4,5,1] => [5,7,3,6,4,2,1] => [3,6,4,7,2,5,1] => 000111
[3,7,2,6,5,1,4] => [5,6,3,2,7,1,4] => [3,7,2,6,5,1,4] => 000111
[3,7,2,6,5,4,1] => [4,5,3,6,7,2,1] => [3,7,2,6,5,4,1] => 001111
[3,7,4,1,2,5,6] => [4,1,3,7,2,5,6] => [3,7,4,1,2,5,6] => 001001
[3,7,4,1,2,6,5] => [4,1,3,7,6,2,5] => [3,6,4,1,2,7,5] => 001011
[3,7,4,1,5,2,6] => [4,7,3,5,2,1,6] => [3,5,2,7,4,1,6] => 001101
[3,7,4,1,5,6,2] => [4,7,3,6,2,5,1] => [3,6,2,5,7,4,1] => 001011
[3,7,4,1,6,2,5] => [4,7,3,6,1,2,5] => [3,6,1,7,4,2,5] => 001011
[3,7,4,1,6,5,2] => [4,7,3,5,6,2,1] => [3,6,5,2,7,4,1] => 001111
[3,7,4,2,1,5,6] => [2,4,3,7,1,5,6] => [3,7,4,2,1,5,6] => 101001
[3,7,4,2,1,6,5] => [2,4,3,7,6,1,5] => [3,6,4,2,1,7,5] => 101011
[3,7,4,2,5,1,6] => [5,4,3,7,2,1,6] => [3,7,4,2,5,1,6] => 001101
[3,7,4,2,5,6,1] => [6,4,3,7,2,5,1] => [3,7,4,2,5,6,1] => 001011
[3,7,4,2,6,1,5] => [6,4,3,7,1,2,5] => [3,7,4,1,6,2,5] => 001011
[3,7,4,2,6,5,1] => [5,4,3,6,7,1,2] => [3,7,4,1,6,5,2] => 001111
[3,7,4,5,1,2,6] => [5,1,3,7,4,2,6] => [3,7,4,5,1,2,6] => 000101
[3,7,4,5,1,6,2] => [5,6,3,7,4,1,2] => [3,7,4,6,1,5,2] => 000111
[3,7,4,5,2,1,6] => [2,5,3,7,4,1,6] => [3,7,4,5,2,1,6] => 100101
[3,7,4,5,2,6,1] => [6,5,3,7,4,2,1] => [3,7,4,5,2,6,1] => 000111
[3,7,4,5,6,1,2] => [6,1,3,7,4,5,2] => [3,7,4,5,6,1,2] => 000011
[3,7,4,5,6,2,1] => [2,6,3,7,4,5,1] => [3,7,4,5,6,2,1] => 100011
[3,7,4,6,1,2,5] => [6,1,3,7,2,4,5] => [3,7,1,2,6,4,5] => 000011
[3,7,4,6,1,5,2] => [6,5,3,7,1,4,2] => [3,7,1,5,4,6,2] => 000111
[3,7,4,6,2,1,5] => [2,6,3,7,1,4,5] => [3,7,2,1,6,4,5] => 100011
[3,7,4,6,2,5,1] => [5,6,3,7,2,4,1] => [3,7,2,6,4,5,1] => 000111
[3,7,4,6,5,1,2] => [5,1,3,6,7,2,4] => [3,7,1,2,6,5,4] => 000111
[3,7,4,6,5,2,1] => [2,5,3,6,7,1,4] => [3,7,2,1,6,5,4] => 100111
[3,7,5,1,2,4,6] => [5,1,3,2,7,4,6] => [3,7,5,1,2,4,6] => 000101
[3,7,5,1,2,6,4] => [5,1,3,7,6,4,2] => [3,6,4,7,5,1,2] => 000111
[3,7,5,1,4,2,6] => [5,4,3,1,7,2,6] => [3,4,1,7,5,2,6] => 001101
[3,7,5,1,4,6,2] => [5,7,3,2,6,4,1] => [3,6,2,4,7,5,1] => 000111
[3,7,5,1,6,2,4] => [5,7,3,1,6,2,4] => [3,6,1,7,5,2,4] => 000111
[3,7,5,1,6,4,2] => [5,4,3,7,6,2,1] => [3,6,4,2,7,5,1] => 001111
[3,7,5,2,1,4,6] => [2,5,3,1,7,4,6] => [3,7,5,2,1,4,6] => 100101
[3,7,5,2,1,6,4] => [2,5,3,7,6,4,1] => [3,6,4,7,5,2,1] => 100111
[3,7,5,2,4,1,6] => [4,5,3,2,7,1,6] => [3,7,5,2,4,1,6] => 001101
[3,7,5,2,4,6,1] => [6,5,3,2,7,4,1] => [3,7,5,2,4,6,1] => 000111
[3,7,5,2,6,1,4] => [6,5,3,1,7,2,4] => [3,7,5,1,6,2,4] => 000111
[3,7,5,2,6,4,1] => [4,6,3,5,7,1,2] => [3,7,5,1,6,4,2] => 001111
[3,7,5,4,1,2,6] => [4,1,3,5,7,2,6] => [3,7,5,4,1,2,6] => 001101
[3,7,5,4,1,6,2] => [4,5,3,7,6,1,2] => [3,6,1,7,5,4,2] => 001111
[3,7,5,4,2,1,6] => [2,4,3,5,7,1,6] => [3,7,5,4,2,1,6] => 101101
[3,7,5,4,2,6,1] => [6,4,3,5,7,2,1] => [3,7,5,4,2,6,1] => 001111
[3,7,5,4,6,1,2] => [6,1,3,5,7,4,2] => [3,7,5,4,6,1,2] => 000111
[3,7,5,4,6,2,1] => [2,6,3,5,7,4,1] => [3,7,5,4,6,2,1] => 100111
[3,7,5,6,1,2,4] => [6,1,3,2,7,5,4] => [3,7,5,6,1,2,4] => 000011
[3,7,5,6,1,4,2] => [6,4,3,1,7,5,2] => [3,4,1,7,5,6,2] => 001011
[3,7,5,6,2,1,4] => [2,6,3,1,7,5,4] => [3,7,5,6,2,1,4] => 100011
[3,7,5,6,2,4,1] => [4,6,3,2,7,5,1] => [3,7,5,6,2,4,1] => 001011
[3,7,5,6,4,1,2] => [4,1,3,6,7,5,2] => [3,7,5,6,4,1,2] => 001011
[3,7,5,6,4,2,1] => [2,4,3,6,7,5,1] => [3,7,5,6,4,2,1] => 101011
[3,7,6,1,2,4,5] => [6,1,3,2,4,7,5] => [3,7,6,1,2,4,5] => 000011
[3,7,6,1,2,5,4] => [6,1,3,5,2,7,4] => [3,5,1,2,7,6,4] => 000111
[3,7,6,1,4,2,5] => [6,4,3,1,2,7,5] => [3,4,1,7,6,2,5] => 001011
[3,7,6,1,4,5,2] => [6,5,3,1,4,7,2] => [3,5,1,4,7,6,2] => 000111
[3,7,6,1,5,2,4] => [6,5,3,2,1,7,4] => [3,5,2,7,6,1,4] => 000111
[3,7,6,1,5,4,2] => [6,4,3,5,1,7,2] => [3,5,4,1,7,6,2] => 001111
[3,7,6,2,1,4,5] => [2,6,3,1,4,7,5] => [3,7,6,2,1,4,5] => 100011
[3,7,6,2,1,5,4] => [2,6,3,5,1,7,4] => [3,5,2,1,7,6,4] => 100111
[3,7,6,2,4,1,5] => [4,6,3,2,1,7,5] => [3,7,6,2,4,1,5] => 001011
[3,7,6,2,4,5,1] => [5,6,3,2,4,7,1] => [3,7,6,2,4,5,1] => 000111
[3,7,6,2,5,1,4] => [5,6,3,1,2,7,4] => [3,7,6,1,5,2,4] => 000111
[3,7,6,2,5,4,1] => [4,5,3,6,1,7,2] => [3,7,6,1,5,4,2] => 001111
[3,7,6,4,1,2,5] => [4,1,3,6,2,7,5] => [3,7,6,4,1,2,5] => 001011
[3,7,6,4,1,5,2] => [4,6,3,5,2,7,1] => [3,5,2,7,6,4,1] => 001111
[3,7,6,4,2,1,5] => [2,4,3,6,1,7,5] => [3,7,6,4,2,1,5] => 101011
[3,7,6,4,2,5,1] => [5,4,3,6,2,7,1] => [3,7,6,4,2,5,1] => 001111
[3,7,6,4,5,1,2] => [5,1,3,6,4,7,2] => [3,7,6,4,5,1,2] => 000111
[3,7,6,4,5,2,1] => [2,5,3,6,4,7,1] => [3,7,6,4,5,2,1] => 100111
[3,7,6,5,1,2,4] => [5,1,3,2,6,7,4] => [3,7,6,5,1,2,4] => 000111
[3,7,6,5,1,4,2] => [5,4,3,1,6,7,2] => [3,4,1,7,6,5,2] => 001111
[3,7,6,5,2,1,4] => [2,5,3,1,6,7,4] => [3,7,6,5,2,1,4] => 100111
[3,7,6,5,2,4,1] => [4,5,3,2,6,7,1] => [3,7,6,5,2,4,1] => 001111
[3,7,6,5,4,1,2] => [4,1,3,5,6,7,2] => [3,7,6,5,4,1,2] => 001111
[3,7,6,5,4,2,1] => [2,4,3,5,6,7,1] => [3,7,6,5,4,2,1] => 101111
[4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => 001000
[4,1,2,3,5,7,6] => [4,1,2,3,5,7,6] => [4,1,2,3,5,7,6] => 001001
[4,1,2,3,6,5,7] => [4,1,2,3,6,5,7] => [4,1,2,3,6,5,7] => 001010
[4,1,2,3,6,7,5] => [4,1,2,3,7,6,5] => [4,1,2,3,6,7,5] => 001001
[4,1,2,3,7,5,6] => [4,1,2,3,7,5,6] => [4,1,2,3,7,5,6] => 001001
[4,1,2,3,7,6,5] => [4,1,2,3,6,7,5] => [4,1,2,3,7,6,5] => 001011
[4,1,2,5,3,6,7] => [4,1,5,2,3,6,7] => [5,1,2,4,3,6,7] => 001100
[4,1,2,5,3,7,6] => [4,1,5,2,3,7,6] => [5,1,2,4,3,7,6] => 001101
[4,1,2,5,6,3,7] => [4,1,6,2,5,3,7] => [5,6,1,2,4,3,7] => 001010
[4,1,2,5,6,7,3] => [4,1,7,2,5,6,3] => [5,6,7,1,2,4,3] => 001001
[4,1,2,5,7,3,6] => [4,1,7,2,5,3,6] => [5,7,1,2,4,3,6] => 001001
[4,1,2,5,7,6,3] => [4,1,6,2,5,7,3] => [5,7,6,1,2,4,3] => 001011
[4,1,2,6,3,5,7] => [4,1,6,2,3,5,7] => [6,1,2,4,3,5,7] => 001010
[4,1,2,6,3,7,5] => [4,1,6,2,7,3,5] => [7,1,2,4,3,6,5] => 001011
[4,1,2,6,5,3,7] => [4,1,5,2,6,3,7] => [6,5,1,2,4,3,7] => 001110
[4,1,2,6,5,7,3] => [4,1,7,2,6,5,3] => [6,5,7,1,2,4,3] => 001011
[4,1,2,6,7,3,5] => [4,1,7,2,3,6,5] => [6,7,1,2,4,3,5] => 001001
[4,1,2,6,7,5,3] => [4,1,5,2,7,6,3] => [6,7,5,1,2,4,3] => 001101
[4,1,2,7,3,5,6] => [4,1,7,2,3,5,6] => [7,1,2,4,3,5,6] => 001001
[4,1,2,7,3,6,5] => [4,1,7,2,6,3,5] => [6,1,2,4,3,7,5] => 001011
[4,1,2,7,5,3,6] => [4,1,5,2,7,3,6] => [7,5,1,2,4,3,6] => 001101
[4,1,2,7,5,6,3] => [4,1,6,2,7,5,3] => [7,5,6,1,2,4,3] => 001011
[4,1,2,7,6,3,5] => [4,1,6,2,3,7,5] => [7,6,1,2,4,3,5] => 001011
[4,1,2,7,6,5,3] => [4,1,5,2,6,7,3] => [7,6,5,1,2,4,3] => 001111
[4,1,3,2,5,6,7] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => 011000
[4,1,3,2,5,7,6] => [4,3,1,2,5,7,6] => [3,1,4,2,5,7,6] => 011001
[4,1,3,2,6,5,7] => [4,3,1,2,6,5,7] => [3,1,4,2,6,5,7] => 011010
[4,1,3,2,6,7,5] => [4,3,1,2,7,6,5] => [3,1,4,2,6,7,5] => 011001
[4,1,3,2,7,5,6] => [4,3,1,2,7,5,6] => [3,1,4,2,7,5,6] => 011001
[4,1,3,2,7,6,5] => [4,3,1,2,6,7,5] => [3,1,4,2,7,6,5] => 011011
[4,1,3,5,2,6,7] => [4,5,1,3,2,6,7] => [5,1,3,4,2,6,7] => 001100
[4,1,3,5,2,7,6] => [4,5,1,3,2,7,6] => [5,1,3,4,2,7,6] => 001101
[4,1,3,5,6,2,7] => [4,6,1,3,5,2,7] => [5,6,1,3,4,2,7] => 001010
[4,1,3,5,6,7,2] => [4,7,1,3,5,6,2] => [5,6,7,1,3,4,2] => 001001
[4,1,3,5,7,2,6] => [4,7,1,3,5,2,6] => [5,7,1,3,4,2,6] => 001001
[4,1,3,5,7,6,2] => [4,6,1,3,5,7,2] => [5,7,6,1,3,4,2] => 001011
[4,1,3,6,2,5,7] => [4,6,1,3,2,5,7] => [6,1,3,4,2,5,7] => 001010
[4,1,3,6,2,7,5] => [4,6,1,3,7,2,5] => [7,1,3,4,2,6,5] => 001011
[4,1,3,6,5,2,7] => [4,5,1,3,6,2,7] => [6,5,1,3,4,2,7] => 001110
[4,1,3,6,5,7,2] => [4,7,1,3,6,5,2] => [6,5,7,1,3,4,2] => 001011
[4,1,3,6,7,2,5] => [4,7,1,3,2,6,5] => [6,7,1,3,4,2,5] => 001001
[4,1,3,6,7,5,2] => [4,5,1,3,7,6,2] => [6,7,5,1,3,4,2] => 001101
[4,1,3,7,2,5,6] => [4,7,1,3,2,5,6] => [7,1,3,4,2,5,6] => 001001
[4,1,3,7,2,6,5] => [4,7,1,3,6,2,5] => [6,1,3,4,2,7,5] => 001011
[4,1,3,7,5,2,6] => [4,5,1,3,7,2,6] => [7,5,1,3,4,2,6] => 001101
[4,1,3,7,5,6,2] => [4,6,1,3,7,5,2] => [7,5,6,1,3,4,2] => 001011
[4,1,3,7,6,2,5] => [4,6,1,3,2,7,5] => [7,6,1,3,4,2,5] => 001011
[4,1,3,7,6,5,2] => [4,5,1,3,6,7,2] => [7,6,5,1,3,4,2] => 001111
[4,1,5,2,3,6,7] => [4,5,2,1,3,6,7] => [5,2,4,1,3,6,7] => 001100
[4,1,5,2,3,7,6] => [4,5,2,1,3,7,6] => [5,2,4,1,3,7,6] => 001101
[4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [6,1,5,2,4,3,7] => 001110
[4,1,5,2,6,7,3] => [4,5,7,1,2,6,3] => [6,7,1,5,2,4,3] => 001101
[4,1,5,2,7,3,6] => [4,5,7,1,2,3,6] => [7,1,5,2,4,3,6] => 001101
[4,1,5,2,7,6,3] => [4,5,6,1,2,7,3] => [7,6,1,5,2,4,3] => 001111
[4,1,5,3,2,6,7] => [4,3,5,1,2,6,7] => [5,3,1,4,2,6,7] => 011100
[4,1,5,3,2,7,6] => [4,3,5,1,2,7,6] => [5,3,1,4,2,7,6] => 011101
[4,1,5,3,6,2,7] => [4,6,5,1,3,2,7] => [5,1,6,3,4,2,7] => 001110
[4,1,5,3,6,7,2] => [4,7,5,1,3,6,2] => [5,1,6,7,3,4,2] => 001101
[4,1,5,3,7,2,6] => [4,7,5,1,3,2,6] => [5,1,7,3,4,2,6] => 001101
[4,1,5,3,7,6,2] => [4,6,5,1,3,7,2] => [5,1,7,6,3,4,2] => 001111
[4,1,5,6,2,3,7] => [4,6,2,1,5,3,7] => [5,6,2,4,1,3,7] => 001010
[4,1,5,6,2,7,3] => [4,6,7,1,5,2,3] => [5,7,1,6,2,4,3] => 001011
[4,1,5,6,3,2,7] => [4,3,6,1,5,2,7] => [5,6,3,1,4,2,7] => 011010
[4,1,5,6,3,7,2] => [4,7,6,1,5,3,2] => [5,6,1,7,3,4,2] => 001011
[4,1,5,6,7,2,3] => [4,7,2,1,5,6,3] => [5,6,7,2,4,1,3] => 001001
[4,1,5,6,7,3,2] => [4,3,7,1,5,6,2] => [5,6,7,3,1,4,2] => 011001
[4,1,5,7,2,3,6] => [4,7,2,1,5,3,6] => [5,7,2,4,1,3,6] => 001001
[4,1,5,7,2,6,3] => [4,7,6,1,5,2,3] => [5,6,1,7,2,4,3] => 001011
[4,1,5,7,3,2,6] => [4,3,7,1,5,2,6] => [5,7,3,1,4,2,6] => 011001
[4,1,5,7,3,6,2] => [4,6,7,1,5,3,2] => [5,7,1,6,3,4,2] => 001011
[4,1,5,7,6,2,3] => [4,6,2,1,5,7,3] => [5,7,6,2,4,1,3] => 001011
[4,1,5,7,6,3,2] => [4,3,6,1,5,7,2] => [5,7,6,3,1,4,2] => 011011
[4,1,6,2,3,5,7] => [4,6,2,1,3,5,7] => [6,2,4,1,3,5,7] => 001010
[4,1,6,2,3,7,5] => [4,6,2,1,7,3,5] => [7,2,4,1,3,6,5] => 001011
[4,1,6,2,5,3,7] => [4,6,5,1,2,3,7] => [5,1,6,2,4,3,7] => 001110
[4,1,6,2,5,7,3] => [4,6,7,1,2,5,3] => [7,1,5,6,2,4,3] => 001011
[4,1,6,2,7,3,5] => [4,6,7,1,3,2,5] => [7,1,6,3,4,2,5] => 001011
[4,1,6,2,7,5,3] => [4,6,5,1,7,2,3] => [7,5,1,6,2,4,3] => 001111
[4,1,6,3,2,5,7] => [4,3,6,1,2,5,7] => [6,3,1,4,2,5,7] => 011010
[4,1,6,3,2,7,5] => [4,3,6,1,7,2,5] => [7,3,1,4,2,6,5] => 011011
[4,1,6,3,5,2,7] => [4,5,6,1,3,2,7] => [6,1,5,3,4,2,7] => 001110
[4,1,6,3,5,7,2] => [4,7,6,1,3,5,2] => [6,1,5,7,3,4,2] => 001011
[4,1,6,3,7,2,5] => [4,7,6,1,2,3,5] => [6,1,7,2,4,3,5] => 001011
[4,1,6,3,7,5,2] => [4,5,7,1,6,2,3] => [6,1,7,5,2,4,3] => 001111
[4,1,6,5,2,3,7] => [4,5,2,1,6,3,7] => [6,5,2,4,1,3,7] => 001110
[4,1,6,5,2,7,3] => [4,5,6,1,7,3,2] => [7,1,6,5,3,4,2] => 001111
[4,1,6,5,3,2,7] => [4,3,5,1,6,2,7] => [6,5,3,1,4,2,7] => 011110
[4,1,6,5,3,7,2] => [4,7,5,1,6,3,2] => [6,5,1,7,3,4,2] => 001111
[4,1,6,5,7,2,3] => [4,7,2,1,6,5,3] => [6,5,7,2,4,1,3] => 001011
[4,1,6,5,7,3,2] => [4,3,7,1,6,5,2] => [6,5,7,3,1,4,2] => 011011
[4,1,6,7,2,3,5] => [4,7,2,1,3,6,5] => [6,7,2,4,1,3,5] => 001001
[4,1,6,7,2,5,3] => [4,7,5,1,2,6,3] => [5,1,6,7,2,4,3] => 001101
[4,1,6,7,3,2,5] => [4,3,7,1,2,6,5] => [6,7,3,1,4,2,5] => 011001
[4,1,6,7,3,5,2] => [4,5,7,1,3,6,2] => [6,7,1,5,3,4,2] => 001101
[4,1,6,7,5,2,3] => [4,5,2,1,7,6,3] => [6,7,5,2,4,1,3] => 001101
[4,1,6,7,5,3,2] => [4,3,5,1,7,6,2] => [6,7,5,3,1,4,2] => 011101
[4,1,7,2,3,5,6] => [4,7,2,1,3,5,6] => [7,2,4,1,3,5,6] => 001001
[4,1,7,2,3,6,5] => [4,7,2,1,6,3,5] => [6,2,4,1,3,7,5] => 001011
[4,1,7,2,5,3,6] => [4,7,5,1,2,3,6] => [5,1,7,2,4,3,6] => 001101
[4,1,7,2,5,6,3] => [4,7,6,1,2,5,3] => [6,1,5,7,2,4,3] => 001011
[4,1,7,2,6,3,5] => [4,7,6,1,3,2,5] => [6,1,7,3,4,2,5] => 001011
[4,1,7,2,6,5,3] => [4,7,5,1,6,2,3] => [6,5,1,7,2,4,3] => 001111
[4,1,7,3,2,5,6] => [4,3,7,1,2,5,6] => [7,3,1,4,2,5,6] => 011001
[4,1,7,3,2,6,5] => [4,3,7,1,6,2,5] => [6,3,1,4,2,7,5] => 011011
[4,1,7,3,5,2,6] => [4,5,7,1,3,2,6] => [7,1,5,3,4,2,6] => 001101
[4,1,7,3,5,6,2] => [4,6,7,1,3,5,2] => [7,1,5,6,3,4,2] => 001011
[4,1,7,3,6,2,5] => [4,6,7,1,2,3,5] => [7,1,6,2,4,3,5] => 001011
[4,1,7,3,6,5,2] => [4,5,6,1,7,2,3] => [7,1,6,5,2,4,3] => 001111
[4,1,7,5,2,3,6] => [4,5,2,1,7,3,6] => [7,5,2,4,1,3,6] => 001101
[4,1,7,5,2,6,3] => [4,5,7,1,6,3,2] => [6,1,7,5,3,4,2] => 001111
[4,1,7,5,3,2,6] => [4,3,5,1,7,2,6] => [7,5,3,1,4,2,6] => 011101
[4,1,7,5,3,6,2] => [4,6,5,1,7,3,2] => [7,5,1,6,3,4,2] => 001111
[4,1,7,5,6,2,3] => [4,6,2,1,7,5,3] => [7,5,6,2,4,1,3] => 001011
[4,1,7,5,6,3,2] => [4,3,6,1,7,5,2] => [7,5,6,3,1,4,2] => 011011
[4,1,7,6,2,3,5] => [4,6,2,1,3,7,5] => [7,6,2,4,1,3,5] => 001011
[4,1,7,6,2,5,3] => [4,6,5,1,2,7,3] => [5,1,7,6,2,4,3] => 001111
[4,1,7,6,3,2,5] => [4,3,6,1,2,7,5] => [7,6,3,1,4,2,5] => 011011
[4,1,7,6,3,5,2] => [4,5,6,1,3,7,2] => [7,6,1,5,3,4,2] => 001111
[4,1,7,6,5,2,3] => [4,5,2,1,6,7,3] => [7,6,5,2,4,1,3] => 001111
[4,1,7,6,5,3,2] => [4,3,5,1,6,7,2] => [7,6,5,3,1,4,2] => 011111
[4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => [4,2,1,3,5,6,7] => 101000
[4,2,1,3,5,7,6] => [2,4,1,3,5,7,6] => [4,2,1,3,5,7,6] => 101001
[4,2,1,3,6,5,7] => [2,4,1,3,6,5,7] => [4,2,1,3,6,5,7] => 101010
[4,2,1,3,6,7,5] => [2,4,1,3,7,6,5] => [4,2,1,3,6,7,5] => 101001
[4,2,1,3,7,5,6] => [2,4,1,3,7,5,6] => [4,2,1,3,7,5,6] => 101001
[4,2,1,3,7,6,5] => [2,4,1,3,6,7,5] => [4,2,1,3,7,6,5] => 101011
[4,2,1,5,3,6,7] => [2,4,5,1,3,6,7] => [5,2,1,4,3,6,7] => 101100
[4,2,1,5,3,7,6] => [2,4,5,1,3,7,6] => [5,2,1,4,3,7,6] => 101101
[4,2,1,5,6,3,7] => [2,4,6,1,5,3,7] => [5,6,2,1,4,3,7] => 101010
[4,2,1,5,6,7,3] => [2,4,7,1,5,6,3] => [5,6,7,2,1,4,3] => 101001
[4,2,1,5,7,3,6] => [2,4,7,1,5,3,6] => [5,7,2,1,4,3,6] => 101001
[4,2,1,5,7,6,3] => [2,4,6,1,5,7,3] => [5,7,6,2,1,4,3] => 101011
[4,2,1,6,3,5,7] => [2,4,6,1,3,5,7] => [6,2,1,4,3,5,7] => 101010
[4,2,1,6,3,7,5] => [2,4,6,1,7,3,5] => [7,2,1,4,3,6,5] => 101011
[4,2,1,6,5,3,7] => [2,4,5,1,6,3,7] => [6,5,2,1,4,3,7] => 101110
[4,2,1,6,5,7,3] => [2,4,7,1,6,5,3] => [6,5,7,2,1,4,3] => 101011
[4,2,1,6,7,3,5] => [2,4,7,1,3,6,5] => [6,7,2,1,4,3,5] => 101001
[4,2,1,6,7,5,3] => [2,4,5,1,7,6,3] => [6,7,5,2,1,4,3] => 101101
[4,2,1,7,3,5,6] => [2,4,7,1,3,5,6] => [7,2,1,4,3,5,6] => 101001
[4,2,1,7,3,6,5] => [2,4,7,1,6,3,5] => [6,2,1,4,3,7,5] => 101011
[4,2,1,7,5,3,6] => [2,4,5,1,7,3,6] => [7,5,2,1,4,3,6] => 101101
[4,2,1,7,5,6,3] => [2,4,6,1,7,5,3] => [7,5,6,2,1,4,3] => 101011
[4,2,1,7,6,3,5] => [2,4,6,1,3,7,5] => [7,6,2,1,4,3,5] => 101011
[4,2,1,7,6,5,3] => [2,4,5,1,6,7,3] => [7,6,5,2,1,4,3] => 101111
[4,2,3,1,5,6,7] => [3,4,2,1,5,6,7] => [4,2,3,1,5,6,7] => 011000
[4,2,3,1,5,7,6] => [3,4,2,1,5,7,6] => [4,2,3,1,5,7,6] => 011001
[4,2,3,1,6,5,7] => [3,4,2,1,6,5,7] => [4,2,3,1,6,5,7] => 011010
[4,2,3,1,6,7,5] => [3,4,2,1,7,6,5] => [4,2,3,1,6,7,5] => 011001
[4,2,3,1,7,5,6] => [3,4,2,1,7,5,6] => [4,2,3,1,7,5,6] => 011001
[4,2,3,1,7,6,5] => [3,4,2,1,6,7,5] => [4,2,3,1,7,6,5] => 011011
[4,2,3,5,1,6,7] => [5,4,2,3,1,6,7] => [4,2,3,5,1,6,7] => 001100
[4,2,3,5,1,7,6] => [5,4,2,3,1,7,6] => [4,2,3,5,1,7,6] => 001101
[4,2,3,5,6,1,7] => [6,4,2,3,5,1,7] => [4,2,3,5,6,1,7] => 001010
[4,2,3,5,6,7,1] => [7,4,2,3,5,6,1] => [4,2,3,5,6,7,1] => 001001
[4,2,3,5,7,1,6] => [7,4,2,3,5,1,6] => [4,2,3,5,7,1,6] => 001001
[4,2,3,5,7,6,1] => [6,4,2,3,5,7,1] => [4,2,3,5,7,6,1] => 001011
[4,2,3,6,1,5,7] => [6,4,2,3,1,5,7] => [4,2,3,6,1,5,7] => 001010
[4,2,3,6,1,7,5] => [6,4,2,3,7,1,5] => [4,2,3,7,1,6,5] => 001011
[4,2,3,6,5,1,7] => [5,4,2,3,6,1,7] => [4,2,3,6,5,1,7] => 001110
[4,2,3,6,5,7,1] => [7,4,2,3,6,5,1] => [4,2,3,6,5,7,1] => 001011
[4,2,3,6,7,1,5] => [7,4,2,3,1,6,5] => [4,2,3,6,7,1,5] => 001001
[4,2,3,6,7,5,1] => [5,4,2,3,7,6,1] => [4,2,3,6,7,5,1] => 001101
[4,2,3,7,1,5,6] => [7,4,2,3,1,5,6] => [4,2,3,7,1,5,6] => 001001
[4,2,3,7,1,6,5] => [7,4,2,3,6,1,5] => [4,2,3,6,1,7,5] => 001011
[4,2,3,7,5,1,6] => [5,4,2,3,7,1,6] => [4,2,3,7,5,1,6] => 001101
[4,2,3,7,5,6,1] => [6,4,2,3,7,5,1] => [4,2,3,7,5,6,1] => 001011
[4,2,3,7,6,1,5] => [6,4,2,3,1,7,5] => [4,2,3,7,6,1,5] => 001011
[4,2,3,7,6,5,1] => [5,4,2,3,6,7,1] => [4,2,3,7,6,5,1] => 001111
[4,2,5,1,3,6,7] => [5,4,1,2,3,6,7] => [4,1,5,2,3,6,7] => 001100
[4,2,5,1,3,7,6] => [5,4,1,2,3,7,6] => [4,1,5,2,3,7,6] => 001101
[4,2,5,1,6,3,7] => [5,4,6,2,1,3,7] => [6,2,4,1,5,3,7] => 001110
[4,2,5,1,6,7,3] => [5,4,7,2,1,6,3] => [6,7,2,4,1,5,3] => 001101
[4,2,5,1,7,3,6] => [5,4,7,2,1,3,6] => [7,2,4,1,5,3,6] => 001101
[4,2,5,1,7,6,3] => [5,4,6,2,1,7,3] => [7,6,2,4,1,5,3] => 001111
[4,2,5,3,1,6,7] => [3,5,4,1,2,6,7] => [4,1,5,3,2,6,7] => 011100
[4,2,5,3,1,7,6] => [3,5,4,1,2,7,6] => [4,1,5,3,2,7,6] => 011101
[4,2,5,3,6,1,7] => [6,4,5,2,3,1,7] => [5,2,4,3,6,1,7] => 001110
[4,2,5,3,6,7,1] => [7,4,5,2,3,6,1] => [5,2,4,3,6,7,1] => 001101
[4,2,5,3,7,1,6] => [7,4,5,2,3,1,6] => [5,2,4,3,7,1,6] => 001101
[4,2,5,3,7,6,1] => [6,4,5,2,3,7,1] => [5,2,4,3,7,6,1] => 001111
[4,2,5,6,1,3,7] => [6,4,1,2,5,3,7] => [4,1,5,6,2,3,7] => 001010
[4,2,5,6,1,7,3] => [6,4,7,2,5,1,3] => [5,7,2,4,1,6,3] => 001011
[4,2,5,6,3,1,7] => [3,6,4,1,5,2,7] => [4,1,5,6,3,2,7] => 011010
[4,2,5,6,3,7,1] => [7,4,6,2,5,3,1] => [5,6,2,4,3,7,1] => 001011
[4,2,5,6,7,1,3] => [7,4,1,2,5,6,3] => [4,1,5,6,7,2,3] => 001001
[4,2,5,6,7,3,1] => [3,7,4,1,5,6,2] => [4,1,5,6,7,3,2] => 011001
[4,2,5,7,1,3,6] => [7,4,1,2,5,3,6] => [4,1,5,7,2,3,6] => 001001
[4,2,5,7,1,6,3] => [7,4,6,2,5,1,3] => [5,6,2,4,1,7,3] => 001011
[4,2,5,7,3,1,6] => [3,7,4,1,5,2,6] => [4,1,5,7,3,2,6] => 011001
[4,2,5,7,3,6,1] => [6,4,7,2,5,3,1] => [5,7,2,4,3,6,1] => 001011
[4,2,5,7,6,1,3] => [6,4,1,2,5,7,3] => [4,1,5,7,6,2,3] => 001011
[4,2,5,7,6,3,1] => [3,6,4,1,5,7,2] => [4,1,5,7,6,3,2] => 011011
[4,2,6,1,3,5,7] => [6,4,1,2,3,5,7] => [4,1,6,2,3,5,7] => 001010
[4,2,6,1,3,7,5] => [6,4,1,2,7,3,5] => [4,1,7,2,3,6,5] => 001011
[4,2,6,1,5,3,7] => [6,4,5,2,1,3,7] => [5,2,4,1,6,3,7] => 001110
[4,2,6,1,5,7,3] => [6,4,7,2,1,5,3] => [7,2,4,1,5,6,3] => 001011
[4,2,6,1,7,3,5] => [6,4,7,2,3,1,5] => [7,2,4,3,6,1,5] => 001011
[4,2,6,1,7,5,3] => [6,4,5,2,7,1,3] => [7,5,2,4,1,6,3] => 001111
[4,2,6,3,1,5,7] => [3,6,4,1,2,5,7] => [4,1,6,3,2,5,7] => 011010
[4,2,6,3,1,7,5] => [3,6,4,1,7,2,5] => [4,1,7,3,2,6,5] => 011011
[4,2,6,3,5,1,7] => [5,4,6,2,3,1,7] => [6,2,4,3,5,1,7] => 001110
[4,2,6,3,5,7,1] => [7,4,6,2,3,5,1] => [6,2,4,3,5,7,1] => 001011
[4,2,6,3,7,1,5] => [7,4,6,2,1,3,5] => [6,2,4,1,7,3,5] => 001011
[4,2,6,3,7,5,1] => [5,4,7,2,6,1,3] => [6,2,4,1,7,5,3] => 001111
[4,2,6,5,1,3,7] => [5,4,1,2,6,3,7] => [4,1,6,5,2,3,7] => 001110
[4,2,6,5,1,7,3] => [5,4,6,2,7,3,1] => [7,2,4,3,6,5,1] => 001111
[4,2,6,5,3,1,7] => [3,5,4,1,6,2,7] => [4,1,6,5,3,2,7] => 011110
[4,2,6,5,3,7,1] => [7,4,5,2,6,3,1] => [6,5,2,4,3,7,1] => 001111
[4,2,6,5,7,1,3] => [7,4,1,2,6,5,3] => [4,1,6,5,7,2,3] => 001011
[4,2,6,5,7,3,1] => [3,7,4,1,6,5,2] => [4,1,6,5,7,3,2] => 011011
[4,2,6,7,1,3,5] => [7,4,1,2,3,6,5] => [4,1,6,7,2,3,5] => 001001
[4,2,6,7,1,5,3] => [7,4,5,2,1,6,3] => [5,2,4,1,6,7,3] => 001101
[4,2,6,7,3,1,5] => [3,7,4,1,2,6,5] => [4,1,6,7,3,2,5] => 011001
[4,2,6,7,3,5,1] => [5,4,7,2,3,6,1] => [6,7,2,4,3,5,1] => 001101
[4,2,6,7,5,1,3] => [5,4,1,2,7,6,3] => [4,1,6,7,5,2,3] => 001101
[4,2,6,7,5,3,1] => [3,5,4,1,7,6,2] => [4,1,6,7,5,3,2] => 011101
[4,2,7,1,3,5,6] => [7,4,1,2,3,5,6] => [4,1,7,2,3,5,6] => 001001
[4,2,7,1,3,6,5] => [7,4,1,2,6,3,5] => [4,1,6,2,3,7,5] => 001011
[4,2,7,1,5,3,6] => [7,4,5,2,1,3,6] => [5,2,4,1,7,3,6] => 001101
[4,2,7,1,5,6,3] => [7,4,6,2,1,5,3] => [6,2,4,1,5,7,3] => 001011
[4,2,7,1,6,3,5] => [7,4,6,2,3,1,5] => [6,2,4,3,7,1,5] => 001011
[4,2,7,1,6,5,3] => [7,4,5,2,6,1,3] => [6,5,2,4,1,7,3] => 001111
[4,2,7,3,1,5,6] => [3,7,4,1,2,5,6] => [4,1,7,3,2,5,6] => 011001
[4,2,7,3,1,6,5] => [3,7,4,1,6,2,5] => [4,1,6,3,2,7,5] => 011011
[4,2,7,3,5,1,6] => [5,4,7,2,3,1,6] => [7,2,4,3,5,1,6] => 001101
[4,2,7,3,5,6,1] => [6,4,7,2,3,5,1] => [7,2,4,3,5,6,1] => 001011
[4,2,7,3,6,1,5] => [6,4,7,2,1,3,5] => [7,2,4,1,6,3,5] => 001011
[4,2,7,3,6,5,1] => [5,4,6,2,7,1,3] => [7,2,4,1,6,5,3] => 001111
[4,2,7,5,1,3,6] => [5,4,1,2,7,3,6] => [4,1,7,5,2,3,6] => 001101
[4,2,7,5,1,6,3] => [5,4,7,2,6,3,1] => [6,2,4,3,7,5,1] => 001111
[4,2,7,5,3,1,6] => [3,5,4,1,7,2,6] => [4,1,7,5,3,2,6] => 011101
[4,2,7,5,3,6,1] => [6,4,5,2,7,3,1] => [7,5,2,4,3,6,1] => 001111
[4,2,7,5,6,1,3] => [6,4,1,2,7,5,3] => [4,1,7,5,6,2,3] => 001011
[4,2,7,5,6,3,1] => [3,6,4,1,7,5,2] => [4,1,7,5,6,3,2] => 011011
[4,2,7,6,1,3,5] => [6,4,1,2,3,7,5] => [4,1,7,6,2,3,5] => 001011
[4,2,7,6,1,5,3] => [6,4,5,2,1,7,3] => [5,2,4,1,7,6,3] => 001111
[4,2,7,6,3,1,5] => [3,6,4,1,2,7,5] => [4,1,7,6,3,2,5] => 011011
[4,2,7,6,3,5,1] => [5,4,6,2,3,7,1] => [7,6,2,4,3,5,1] => 001111
[4,2,7,6,5,1,3] => [5,4,1,2,6,7,3] => [4,1,7,6,5,2,3] => 001111
[4,2,7,6,5,3,1] => [3,5,4,1,6,7,2] => [4,1,7,6,5,3,2] => 011111
[4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => [4,3,1,2,5,6,7] => 011000
[4,3,1,2,5,7,6] => [3,1,4,2,5,7,6] => [4,3,1,2,5,7,6] => 011001
[4,3,1,2,6,5,7] => [3,1,4,2,6,5,7] => [4,3,1,2,6,5,7] => 011010
[4,3,1,2,6,7,5] => [3,1,4,2,7,6,5] => [4,3,1,2,6,7,5] => 011001
[4,3,1,2,7,5,6] => [3,1,4,2,7,5,6] => [4,3,1,2,7,5,6] => 011001
[4,3,1,2,7,6,5] => [3,1,4,2,6,7,5] => [4,3,1,2,7,6,5] => 011011
[4,3,1,5,2,6,7] => [3,4,5,2,1,6,7] => [5,2,4,3,1,6,7] => 011100
[4,3,1,5,2,7,6] => [3,4,5,2,1,7,6] => [5,2,4,3,1,7,6] => 011101
[4,3,1,5,6,2,7] => [3,4,6,2,5,1,7] => [5,6,2,4,3,1,7] => 011010
[4,3,1,5,6,7,2] => [3,4,7,2,5,6,1] => [5,6,7,2,4,3,1] => 011001
[4,3,1,5,7,2,6] => [3,4,7,2,5,1,6] => [5,7,2,4,3,1,6] => 011001
[4,3,1,5,7,6,2] => [3,4,6,2,5,7,1] => [5,7,6,2,4,3,1] => 011011
[4,3,1,6,2,5,7] => [3,4,6,2,1,5,7] => [6,2,4,3,1,5,7] => 011010
[4,3,1,6,2,7,5] => [3,4,6,2,7,1,5] => [7,2,4,3,1,6,5] => 011011
[4,3,1,6,5,2,7] => [3,4,5,2,6,1,7] => [6,5,2,4,3,1,7] => 011110
[4,3,1,6,5,7,2] => [3,4,7,2,6,5,1] => [6,5,7,2,4,3,1] => 011011
[4,3,1,6,7,2,5] => [3,4,7,2,1,6,5] => [6,7,2,4,3,1,5] => 011001
[4,3,1,6,7,5,2] => [3,4,5,2,7,6,1] => [6,7,5,2,4,3,1] => 011101
[4,3,1,7,2,5,6] => [3,4,7,2,1,5,6] => [7,2,4,3,1,5,6] => 011001
[4,3,1,7,2,6,5] => [3,4,7,2,6,1,5] => [6,2,4,3,1,7,5] => 011011
[4,3,1,7,5,2,6] => [3,4,5,2,7,1,6] => [7,5,2,4,3,1,6] => 011101
[4,3,1,7,5,6,2] => [3,4,6,2,7,5,1] => [7,5,6,2,4,3,1] => 011011
[4,3,1,7,6,2,5] => [3,4,6,2,1,7,5] => [7,6,2,4,3,1,5] => 011011
[4,3,1,7,6,5,2] => [3,4,5,2,6,7,1] => [7,6,5,2,4,3,1] => 011111
[4,3,2,1,5,6,7] => [2,3,4,1,5,6,7] => [4,3,2,1,5,6,7] => 111000
[4,3,2,1,5,7,6] => [2,3,4,1,5,7,6] => [4,3,2,1,5,7,6] => 111001
[4,3,2,1,6,5,7] => [2,3,4,1,6,5,7] => [4,3,2,1,6,5,7] => 111010
[4,3,2,1,6,7,5] => [2,3,4,1,7,6,5] => [4,3,2,1,6,7,5] => 111001
[4,3,2,1,7,5,6] => [2,3,4,1,7,5,6] => [4,3,2,1,7,5,6] => 111001
[4,3,2,1,7,6,5] => [2,3,4,1,6,7,5] => [4,3,2,1,7,6,5] => 111011
[4,3,2,5,1,6,7] => [5,3,4,2,1,6,7] => [4,3,2,5,1,6,7] => 011100
[4,3,2,5,1,7,6] => [5,3,4,2,1,7,6] => [4,3,2,5,1,7,6] => 011101
[4,3,2,5,6,1,7] => [6,3,4,2,5,1,7] => [4,3,2,5,6,1,7] => 011010
[4,3,2,5,6,7,1] => [7,3,4,2,5,6,1] => [4,3,2,5,6,7,1] => 011001
[4,3,2,5,7,1,6] => [7,3,4,2,5,1,6] => [4,3,2,5,7,1,6] => 011001
[4,3,2,5,7,6,1] => [6,3,4,2,5,7,1] => [4,3,2,5,7,6,1] => 011011
[4,3,2,6,1,5,7] => [6,3,4,2,1,5,7] => [4,3,2,6,1,5,7] => 011010
[4,3,2,6,1,7,5] => [6,3,4,2,7,1,5] => [4,3,2,7,1,6,5] => 011011
[4,3,2,6,5,1,7] => [5,3,4,2,6,1,7] => [4,3,2,6,5,1,7] => 011110
[4,3,2,6,5,7,1] => [7,3,4,2,6,5,1] => [4,3,2,6,5,7,1] => 011011
[4,3,2,6,7,1,5] => [7,3,4,2,1,6,5] => [4,3,2,6,7,1,5] => 011001
[4,3,2,6,7,5,1] => [5,3,4,2,7,6,1] => [4,3,2,6,7,5,1] => 011101
[4,3,2,7,1,5,6] => [7,3,4,2,1,5,6] => [4,3,2,7,1,5,6] => 011001
[4,3,2,7,1,6,5] => [7,3,4,2,6,1,5] => [4,3,2,6,1,7,5] => 011011
[4,3,2,7,5,1,6] => [5,3,4,2,7,1,6] => [4,3,2,7,5,1,6] => 011101
[4,3,2,7,5,6,1] => [6,3,4,2,7,5,1] => [4,3,2,7,5,6,1] => 011011
[4,3,2,7,6,1,5] => [6,3,4,2,1,7,5] => [4,3,2,7,6,1,5] => 011011
[4,3,2,7,6,5,1] => [5,3,4,2,6,7,1] => [4,3,2,7,6,5,1] => 011111
[4,3,5,1,2,6,7] => [5,1,4,3,2,6,7] => [4,3,5,1,2,6,7] => 001100
[4,3,5,1,2,7,6] => [5,1,4,3,2,7,6] => [4,3,5,1,2,7,6] => 001101
[4,3,5,1,6,2,7] => [5,6,4,3,1,2,7] => [4,3,6,1,5,2,7] => 001110
[4,3,5,1,6,7,2] => [5,7,4,3,1,6,2] => [4,3,6,7,1,5,2] => 001101
[4,3,5,1,7,2,6] => [5,7,4,3,1,2,6] => [4,3,7,1,5,2,6] => 001101
[4,3,5,1,7,6,2] => [5,6,4,3,1,7,2] => [4,3,7,6,1,5,2] => 001111
[4,3,5,2,1,6,7] => [2,5,4,3,1,6,7] => [4,3,5,2,1,6,7] => 101100
[4,3,5,2,1,7,6] => [2,5,4,3,1,7,6] => [4,3,5,2,1,7,6] => 101101
[4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => [4,3,5,2,6,1,7] => 001110
[4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => [4,3,5,2,6,7,1] => 001101
[4,3,5,2,7,1,6] => [7,5,4,3,2,1,6] => [4,3,5,2,7,1,6] => 001101
[4,3,5,2,7,6,1] => [6,5,4,3,2,7,1] => [4,3,5,2,7,6,1] => 001111
[4,3,5,6,1,2,7] => [6,1,4,3,5,2,7] => [4,3,5,6,1,2,7] => 001010
[4,3,5,6,1,7,2] => [6,7,4,3,5,1,2] => [4,3,5,7,1,6,2] => 001011
[4,3,5,6,2,1,7] => [2,6,4,3,5,1,7] => [4,3,5,6,2,1,7] => 101010
[4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => [4,3,5,6,2,7,1] => 001011
[4,3,5,6,7,1,2] => [7,1,4,3,5,6,2] => [4,3,5,6,7,1,2] => 001001
[4,3,5,6,7,2,1] => [2,7,4,3,5,6,1] => [4,3,5,6,7,2,1] => 101001
[4,3,5,7,1,2,6] => [7,1,4,3,5,2,6] => [4,3,5,7,1,2,6] => 001001
[4,3,5,7,1,6,2] => [7,6,4,3,5,1,2] => [4,3,5,6,1,7,2] => 001011
[4,3,5,7,2,1,6] => [2,7,4,3,5,1,6] => [4,3,5,7,2,1,6] => 101001
[4,3,5,7,2,6,1] => [6,7,4,3,5,2,1] => [4,3,5,7,2,6,1] => 001011
[4,3,5,7,6,1,2] => [6,1,4,3,5,7,2] => [4,3,5,7,6,1,2] => 001011
[4,3,5,7,6,2,1] => [2,6,4,3,5,7,1] => [4,3,5,7,6,2,1] => 101011
[4,3,6,1,2,5,7] => [6,1,4,3,2,5,7] => [4,3,6,1,2,5,7] => 001010
[4,3,6,1,2,7,5] => [6,1,4,3,7,2,5] => [4,3,7,1,2,6,5] => 001011
[4,3,6,1,5,2,7] => [6,5,4,3,1,2,7] => [4,3,5,1,6,2,7] => 001110
[4,3,6,1,5,7,2] => [6,7,4,3,1,5,2] => [4,3,7,1,5,6,2] => 001011
[4,3,6,1,7,2,5] => [6,7,4,3,2,1,5] => [4,3,7,2,6,1,5] => 001011
[4,3,6,1,7,5,2] => [6,5,4,3,7,1,2] => [4,3,7,5,1,6,2] => 001111
[4,3,6,2,1,5,7] => [2,6,4,3,1,5,7] => [4,3,6,2,1,5,7] => 101010
[4,3,6,2,1,7,5] => [2,6,4,3,7,1,5] => [4,3,7,2,1,6,5] => 101011
[4,3,6,2,5,1,7] => [5,6,4,3,2,1,7] => [4,3,6,2,5,1,7] => 001110
[4,3,6,2,5,7,1] => [7,6,4,3,2,5,1] => [4,3,6,2,5,7,1] => 001011
[4,3,6,2,7,1,5] => [7,6,4,3,1,2,5] => [4,3,6,1,7,2,5] => 001011
[4,3,6,2,7,5,1] => [5,7,4,3,6,1,2] => [4,3,6,1,7,5,2] => 001111
[4,3,6,5,1,2,7] => [5,1,4,3,6,2,7] => [4,3,6,5,1,2,7] => 001110
[4,3,6,5,1,7,2] => [5,6,4,3,7,2,1] => [4,3,7,2,6,5,1] => 001111
[4,3,6,5,2,1,7] => [2,5,4,3,6,1,7] => [4,3,6,5,2,1,7] => 101110
[4,3,6,5,2,7,1] => [7,5,4,3,6,2,1] => [4,3,6,5,2,7,1] => 001111
[4,3,6,5,7,1,2] => [7,1,4,3,6,5,2] => [4,3,6,5,7,1,2] => 001011
[4,3,6,5,7,2,1] => [2,7,4,3,6,5,1] => [4,3,6,5,7,2,1] => 101011
[4,3,6,7,1,2,5] => [7,1,4,3,2,6,5] => [4,3,6,7,1,2,5] => 001001
[4,3,6,7,1,5,2] => [7,5,4,3,1,6,2] => [4,3,5,1,6,7,2] => 001101
[4,3,6,7,2,1,5] => [2,7,4,3,1,6,5] => [4,3,6,7,2,1,5] => 101001
[4,3,6,7,2,5,1] => [5,7,4,3,2,6,1] => [4,3,6,7,2,5,1] => 001101
[4,3,6,7,5,1,2] => [5,1,4,3,7,6,2] => [4,3,6,7,5,1,2] => 001101
[4,3,6,7,5,2,1] => [2,5,4,3,7,6,1] => [4,3,6,7,5,2,1] => 101101
[4,3,7,1,2,5,6] => [7,1,4,3,2,5,6] => [4,3,7,1,2,5,6] => 001001
[4,3,7,1,2,6,5] => [7,1,4,3,6,2,5] => [4,3,6,1,2,7,5] => 001011
[4,3,7,1,5,2,6] => [7,5,4,3,1,2,6] => [4,3,5,1,7,2,6] => 001101
[4,3,7,1,5,6,2] => [7,6,4,3,1,5,2] => [4,3,6,1,5,7,2] => 001011
[4,3,7,1,6,2,5] => [7,6,4,3,2,1,5] => [4,3,6,2,7,1,5] => 001011
[4,3,7,1,6,5,2] => [7,5,4,3,6,1,2] => [4,3,6,5,1,7,2] => 001111
[4,3,7,2,1,5,6] => [2,7,4,3,1,5,6] => [4,3,7,2,1,5,6] => 101001
[4,3,7,2,1,6,5] => [2,7,4,3,6,1,5] => [4,3,6,2,1,7,5] => 101011
[4,3,7,2,5,1,6] => [5,7,4,3,2,1,6] => [4,3,7,2,5,1,6] => 001101
[4,3,7,2,5,6,1] => [6,7,4,3,2,5,1] => [4,3,7,2,5,6,1] => 001011
[4,3,7,2,6,1,5] => [6,7,4,3,1,2,5] => [4,3,7,1,6,2,5] => 001011
[4,3,7,2,6,5,1] => [5,6,4,3,7,1,2] => [4,3,7,1,6,5,2] => 001111
[4,3,7,5,1,2,6] => [5,1,4,3,7,2,6] => [4,3,7,5,1,2,6] => 001101
[4,3,7,5,1,6,2] => [5,7,4,3,6,2,1] => [4,3,6,2,7,5,1] => 001111
[4,3,7,5,2,1,6] => [2,5,4,3,7,1,6] => [4,3,7,5,2,1,6] => 101101
[4,3,7,5,2,6,1] => [6,5,4,3,7,2,1] => [4,3,7,5,2,6,1] => 001111
[4,3,7,5,6,1,2] => [6,1,4,3,7,5,2] => [4,3,7,5,6,1,2] => 001011
[4,3,7,5,6,2,1] => [2,6,4,3,7,5,1] => [4,3,7,5,6,2,1] => 101011
[4,3,7,6,1,2,5] => [6,1,4,3,2,7,5] => [4,3,7,6,1,2,5] => 001011
[4,3,7,6,1,5,2] => [6,5,4,3,1,7,2] => [4,3,5,1,7,6,2] => 001111
[4,3,7,6,2,1,5] => [2,6,4,3,1,7,5] => [4,3,7,6,2,1,5] => 101011
[4,3,7,6,2,5,1] => [5,6,4,3,2,7,1] => [4,3,7,6,2,5,1] => 001111
[4,3,7,6,5,1,2] => [5,1,4,3,6,7,2] => [4,3,7,6,5,1,2] => 001111
[4,3,7,6,5,2,1] => [2,5,4,3,6,7,1] => [4,3,7,6,5,2,1] => 101111
[4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => [4,5,1,2,3,6,7] => 000100
[4,5,1,2,3,7,6] => [5,1,2,4,3,7,6] => [4,5,1,2,3,7,6] => 000101
[4,5,1,2,6,3,7] => [5,1,6,4,2,3,7] => [4,6,1,2,5,3,7] => 000110
[4,5,1,2,6,7,3] => [5,1,7,4,2,6,3] => [4,6,7,1,2,5,3] => 000101
[4,5,1,2,7,3,6] => [5,1,7,4,2,3,6] => [4,7,1,2,5,3,6] => 000101
[4,5,1,2,7,6,3] => [5,1,6,4,2,7,3] => [4,7,6,1,2,5,3] => 000111
[4,5,1,3,2,6,7] => [5,3,1,4,2,6,7] => [3,1,4,5,2,6,7] => 010100
[4,5,1,3,2,7,6] => [5,3,1,4,2,7,6] => [3,1,4,5,2,7,6] => 010101
[4,5,1,3,6,2,7] => [5,6,1,4,3,2,7] => [4,6,1,3,5,2,7] => 000110
[4,5,1,3,6,7,2] => [5,7,1,4,3,6,2] => [4,6,7,1,3,5,2] => 000101
[4,5,1,3,7,2,6] => [5,7,1,4,3,2,6] => [4,7,1,3,5,2,6] => 000101
[4,5,1,3,7,6,2] => [5,6,1,4,3,7,2] => [4,7,6,1,3,5,2] => 000111
[4,5,1,6,2,3,7] => [5,6,2,4,1,3,7] => [4,6,2,5,1,3,7] => 000110
[4,5,1,6,2,7,3] => [5,6,7,4,1,2,3] => [4,7,1,6,2,5,3] => 000111
[4,5,1,6,3,2,7] => [5,3,6,4,1,2,7] => [4,6,3,1,5,2,7] => 010110
[4,5,1,6,3,7,2] => [5,7,6,4,1,3,2] => [4,6,1,7,3,5,2] => 000111
[4,5,1,6,7,2,3] => [5,7,2,4,1,6,3] => [4,6,7,2,5,1,3] => 000101
[4,5,1,6,7,3,2] => [5,3,7,4,1,6,2] => [4,6,7,3,1,5,2] => 010101
[4,5,1,7,2,3,6] => [5,7,2,4,1,3,6] => [4,7,2,5,1,3,6] => 000101
[4,5,1,7,2,6,3] => [5,7,6,4,1,2,3] => [4,6,1,7,2,5,3] => 000111
[4,5,1,7,3,2,6] => [5,3,7,4,1,2,6] => [4,7,3,1,5,2,6] => 010101
[4,5,1,7,3,6,2] => [5,6,7,4,1,3,2] => [4,7,1,6,3,5,2] => 000111
[4,5,1,7,6,2,3] => [5,6,2,4,1,7,3] => [4,7,6,2,5,1,3] => 000111
[4,5,1,7,6,3,2] => [5,3,6,4,1,7,2] => [4,7,6,3,1,5,2] => 010111
[4,5,2,1,3,6,7] => [2,5,1,4,3,6,7] => [4,5,2,1,3,6,7] => 100100
[4,5,2,1,3,7,6] => [2,5,1,4,3,7,6] => [4,5,2,1,3,7,6] => 100101
[4,5,2,1,6,3,7] => [2,5,6,4,1,3,7] => [4,6,2,1,5,3,7] => 100110
[4,5,2,1,6,7,3] => [2,5,7,4,1,6,3] => [4,6,7,2,1,5,3] => 100101
[4,5,2,1,7,3,6] => [2,5,7,4,1,3,6] => [4,7,2,1,5,3,6] => 100101
[4,5,2,1,7,6,3] => [2,5,6,4,1,7,3] => [4,7,6,2,1,5,3] => 100111
[4,5,2,3,1,6,7] => [3,5,2,4,1,6,7] => [4,5,2,3,1,6,7] => 010100
[4,5,2,3,1,7,6] => [3,5,2,4,1,7,6] => [4,5,2,3,1,7,6] => 010101
[4,5,2,3,6,1,7] => [6,5,2,4,3,1,7] => [4,5,2,3,6,1,7] => 000110
[4,5,2,3,6,7,1] => [7,5,2,4,3,6,1] => [4,5,2,3,6,7,1] => 000101
[4,5,2,3,7,1,6] => [7,5,2,4,3,1,6] => [4,5,2,3,7,1,6] => 000101
[4,5,2,3,7,6,1] => [6,5,2,4,3,7,1] => [4,5,2,3,7,6,1] => 000111
[4,5,2,6,1,3,7] => [6,5,1,4,2,3,7] => [4,5,1,6,2,3,7] => 000110
[4,5,2,6,1,7,3] => [6,5,7,4,2,1,3] => [4,7,2,5,1,6,3] => 000111
[4,5,2,6,3,1,7] => [3,6,5,4,1,2,7] => [4,5,1,6,3,2,7] => 010110
[4,5,2,6,3,7,1] => [7,5,6,4,2,3,1] => [4,6,2,5,3,7,1] => 000111
[4,5,2,6,7,1,3] => [7,5,1,4,2,6,3] => [4,5,1,6,7,2,3] => 000101
[4,5,2,6,7,3,1] => [3,7,5,4,1,6,2] => [4,5,1,6,7,3,2] => 010101
[4,5,2,7,1,3,6] => [7,5,1,4,2,3,6] => [4,5,1,7,2,3,6] => 000101
[4,5,2,7,1,6,3] => [7,5,6,4,2,1,3] => [4,6,2,5,1,7,3] => 000111
[4,5,2,7,3,1,6] => [3,7,5,4,1,2,6] => [4,5,1,7,3,2,6] => 010101
[4,5,2,7,3,6,1] => [6,5,7,4,2,3,1] => [4,7,2,5,3,6,1] => 000111
[4,5,2,7,6,1,3] => [6,5,1,4,2,7,3] => [4,5,1,7,6,2,3] => 000111
[4,5,2,7,6,3,1] => [3,6,5,4,1,7,2] => [4,5,1,7,6,3,2] => 010111
[4,5,3,1,2,6,7] => [3,1,5,4,2,6,7] => [4,5,3,1,2,6,7] => 010100
[4,5,3,1,2,7,6] => [3,1,5,4,2,7,6] => [4,5,3,1,2,7,6] => 010101
[4,5,3,1,6,2,7] => [3,5,6,4,2,1,7] => [4,6,2,5,3,1,7] => 010110
[4,5,3,1,6,7,2] => [3,5,7,4,2,6,1] => [4,6,7,2,5,3,1] => 010101
[4,5,3,1,7,2,6] => [3,5,7,4,2,1,6] => [4,7,2,5,3,1,6] => 010101
[4,5,3,1,7,6,2] => [3,5,6,4,2,7,1] => [4,7,6,2,5,3,1] => 010111
[4,5,3,2,1,6,7] => [2,3,5,4,1,6,7] => [4,5,3,2,1,6,7] => 110100
[4,5,3,2,1,7,6] => [2,3,5,4,1,7,6] => [4,5,3,2,1,7,6] => 110101
[4,5,3,2,6,1,7] => [6,3,5,4,2,1,7] => [4,5,3,2,6,1,7] => 010110
[4,5,3,2,6,7,1] => [7,3,5,4,2,6,1] => [4,5,3,2,6,7,1] => 010101
[4,5,3,2,7,1,6] => [7,3,5,4,2,1,6] => [4,5,3,2,7,1,6] => 010101
[4,5,3,2,7,6,1] => [6,3,5,4,2,7,1] => [4,5,3,2,7,6,1] => 010111
[4,5,3,6,1,2,7] => [6,1,5,4,3,2,7] => [4,5,3,6,1,2,7] => 000110
[4,5,3,6,1,7,2] => [6,7,5,4,3,1,2] => [4,5,3,7,1,6,2] => 000111
[4,5,3,6,2,1,7] => [2,6,5,4,3,1,7] => [4,5,3,6,2,1,7] => 100110
[4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => [4,5,3,6,2,7,1] => 000111
[4,5,3,6,7,1,2] => [7,1,5,4,3,6,2] => [4,5,3,6,7,1,2] => 000101
[4,5,3,6,7,2,1] => [2,7,5,4,3,6,1] => [4,5,3,6,7,2,1] => 100101
[4,5,3,7,1,2,6] => [7,1,5,4,3,2,6] => [4,5,3,7,1,2,6] => 000101
[4,5,3,7,1,6,2] => [7,6,5,4,3,1,2] => [4,5,3,6,1,7,2] => 000111
[4,5,3,7,2,1,6] => [2,7,5,4,3,1,6] => [4,5,3,7,2,1,6] => 100101
[4,5,3,7,2,6,1] => [6,7,5,4,3,2,1] => [4,5,3,7,2,6,1] => 000111
[4,5,3,7,6,1,2] => [6,1,5,4,3,7,2] => [4,5,3,7,6,1,2] => 000111
[4,5,3,7,6,2,1] => [2,6,5,4,3,7,1] => [4,5,3,7,6,2,1] => 100111
[4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => [4,5,6,1,2,3,7] => 000010
[4,5,6,1,2,7,3] => [6,1,7,4,5,2,3] => [4,5,7,1,2,6,3] => 000011
[4,5,6,1,3,2,7] => [6,3,1,4,5,2,7] => [3,1,4,5,6,2,7] => 010010
[4,5,6,1,3,7,2] => [6,7,1,4,5,3,2] => [4,5,7,1,3,6,2] => 000011
[4,5,6,1,7,2,3] => [6,7,2,4,5,1,3] => [4,5,7,2,6,1,3] => 000011
[4,5,6,1,7,3,2] => [6,3,7,4,5,1,2] => [4,5,7,3,1,6,2] => 010011
[4,5,6,2,1,3,7] => [2,6,1,4,5,3,7] => [4,5,6,2,1,3,7] => 100010
[4,5,6,2,1,7,3] => [2,6,7,4,5,1,3] => [4,5,7,2,1,6,3] => 100011
[4,5,6,2,3,1,7] => [3,6,2,4,5,1,7] => [4,5,6,2,3,1,7] => 010010
[4,5,6,2,3,7,1] => [7,6,2,4,5,3,1] => [4,5,6,2,3,7,1] => 000011
[4,5,6,2,7,1,3] => [7,6,1,4,5,2,3] => [4,5,6,1,7,2,3] => 000011
[4,5,6,2,7,3,1] => [3,7,6,4,5,1,2] => [4,5,6,1,7,3,2] => 010011
[4,5,6,3,1,2,7] => [3,1,6,4,5,2,7] => [4,5,6,3,1,2,7] => 010010
[4,5,6,3,1,7,2] => [3,6,7,4,5,2,1] => [4,5,7,2,6,3,1] => 010011
[4,5,6,3,2,1,7] => [2,3,6,4,5,1,7] => [4,5,6,3,2,1,7] => 110010
[4,5,6,3,2,7,1] => [7,3,6,4,5,2,1] => [4,5,6,3,2,7,1] => 010011
[4,5,6,3,7,1,2] => [7,1,6,4,5,3,2] => [4,5,6,3,7,1,2] => 000011
[4,5,6,3,7,2,1] => [2,7,6,4,5,3,1] => [4,5,6,3,7,2,1] => 100011
[4,5,6,7,1,2,3] => [7,1,2,4,5,6,3] => [4,5,6,7,1,2,3] => 000001
[4,5,6,7,1,3,2] => [7,3,1,4,5,6,2] => [3,1,4,5,6,7,2] => 010001
[4,5,6,7,2,1,3] => [2,7,1,4,5,6,3] => [4,5,6,7,2,1,3] => 100001
[4,5,6,7,2,3,1] => [3,7,2,4,5,6,1] => [4,5,6,7,2,3,1] => 010001
[4,5,6,7,3,1,2] => [3,1,7,4,5,6,2] => [4,5,6,7,3,1,2] => 010001
[4,5,6,7,3,2,1] => [2,3,7,4,5,6,1] => [4,5,6,7,3,2,1] => 110001
[4,5,7,1,2,3,6] => [7,1,2,4,5,3,6] => [4,5,7,1,2,3,6] => 000001
[4,5,7,1,2,6,3] => [7,1,6,4,5,2,3] => [4,5,6,1,2,7,3] => 000011
[4,5,7,1,3,2,6] => [7,3,1,4,5,2,6] => [3,1,4,5,7,2,6] => 010001
[4,5,7,1,3,6,2] => [7,6,1,4,5,3,2] => [4,5,6,1,3,7,2] => 000011
[4,5,7,1,6,2,3] => [7,6,2,4,5,1,3] => [4,5,6,2,7,1,3] => 000011
[4,5,7,1,6,3,2] => [7,3,6,4,5,1,2] => [4,5,6,3,1,7,2] => 010011
[4,5,7,2,1,3,6] => [2,7,1,4,5,3,6] => [4,5,7,2,1,3,6] => 100001
[4,5,7,2,1,6,3] => [2,7,6,4,5,1,3] => [4,5,6,2,1,7,3] => 100011
[4,5,7,2,3,1,6] => [3,7,2,4,5,1,6] => [4,5,7,2,3,1,6] => 010001
[4,5,7,2,3,6,1] => [6,7,2,4,5,3,1] => [4,5,7,2,3,6,1] => 000011
[4,5,7,2,6,1,3] => [6,7,1,4,5,2,3] => [4,5,7,1,6,2,3] => 000011
[4,5,7,2,6,3,1] => [3,6,7,4,5,1,2] => [4,5,7,1,6,3,2] => 010011
[4,5,7,3,1,2,6] => [3,1,7,4,5,2,6] => [4,5,7,3,1,2,6] => 010001
[4,5,7,3,1,6,2] => [3,7,6,4,5,2,1] => [4,5,6,2,7,3,1] => 010011
[4,5,7,3,2,1,6] => [2,3,7,4,5,1,6] => [4,5,7,3,2,1,6] => 110001
[4,5,7,3,2,6,1] => [6,3,7,4,5,2,1] => [4,5,7,3,2,6,1] => 010011
[4,5,7,3,6,1,2] => [6,1,7,4,5,3,2] => [4,5,7,3,6,1,2] => 000011
[4,5,7,3,6,2,1] => [2,6,7,4,5,3,1] => [4,5,7,3,6,2,1] => 100011
[4,5,7,6,1,2,3] => [6,1,2,4,5,7,3] => [4,5,7,6,1,2,3] => 000011
[4,5,7,6,1,3,2] => [6,3,1,4,5,7,2] => [3,1,4,5,7,6,2] => 010011
[4,5,7,6,2,1,3] => [2,6,1,4,5,7,3] => [4,5,7,6,2,1,3] => 100011
[4,5,7,6,2,3,1] => [3,6,2,4,5,7,1] => [4,5,7,6,2,3,1] => 010011
[4,5,7,6,3,1,2] => [3,1,6,4,5,7,2] => [4,5,7,6,3,1,2] => 010011
[4,5,7,6,3,2,1] => [2,3,6,4,5,7,1] => [4,5,7,6,3,2,1] => 110011
[4,6,1,2,3,5,7] => [6,1,2,4,3,5,7] => [4,6,1,2,3,5,7] => 000010
[4,6,1,2,3,7,5] => [6,1,2,4,7,3,5] => [4,7,1,2,3,6,5] => 000011
[4,6,1,2,5,3,7] => [6,1,5,4,2,3,7] => [4,5,1,2,6,3,7] => 000110
[4,6,1,2,5,7,3] => [6,1,7,4,2,5,3] => [4,7,1,2,5,6,3] => 000011
[4,6,1,2,7,3,5] => [6,1,7,4,3,2,5] => [4,7,3,6,1,2,5] => 000011
[4,6,1,2,7,5,3] => [6,1,5,4,7,2,3] => [4,7,5,1,2,6,3] => 000111
[4,6,1,3,2,5,7] => [6,3,1,4,2,5,7] => [3,1,4,6,2,5,7] => 010010
[4,6,1,3,2,7,5] => [6,3,1,4,7,2,5] => [3,1,4,7,2,6,5] => 010011
[4,6,1,3,5,2,7] => [6,5,1,4,3,2,7] => [4,5,1,3,6,2,7] => 000110
[4,6,1,3,5,7,2] => [6,7,1,4,3,5,2] => [4,7,1,3,5,6,2] => 000011
[4,6,1,3,7,2,5] => [6,7,1,4,2,3,5] => [4,7,1,6,2,3,5] => 000011
[4,6,1,3,7,5,2] => [6,5,1,4,7,3,2] => [4,7,5,1,3,6,2] => 000111
[4,6,1,5,2,3,7] => [6,5,2,4,1,3,7] => [4,5,2,6,1,3,7] => 000110
[4,6,1,5,2,7,3] => [6,5,7,4,1,2,3] => [4,7,1,5,2,6,3] => 000111
[4,6,1,5,3,2,7] => [6,3,5,4,1,2,7] => [4,5,3,1,6,2,7] => 010110
[4,6,1,5,3,7,2] => [6,7,5,4,1,3,2] => [4,5,1,7,3,6,2] => 000111
[4,6,1,5,7,2,3] => [6,7,2,4,1,5,3] => [4,7,2,5,6,1,3] => 000011
[4,6,1,5,7,3,2] => [6,3,7,4,1,5,2] => [4,7,3,1,5,6,2] => 010011
[4,6,1,7,2,3,5] => [6,7,2,4,3,1,5] => [4,7,2,3,6,1,5] => 000011
[4,6,1,7,2,5,3] => [6,7,5,4,2,1,3] => [4,5,2,7,1,6,3] => 000111
[4,6,1,7,3,2,5] => [6,3,7,4,2,1,5] => [4,7,3,2,6,1,5] => 010011
[4,6,1,7,3,5,2] => [6,5,7,4,3,1,2] => [4,7,3,5,1,6,2] => 000111
[4,6,1,7,5,2,3] => [6,5,2,4,7,1,3] => [4,7,5,2,6,1,3] => 000111
[4,6,1,7,5,3,2] => [6,3,5,4,7,1,2] => [4,7,5,3,1,6,2] => 010111
[4,6,2,1,3,5,7] => [2,6,1,4,3,5,7] => [4,6,2,1,3,5,7] => 100010
[4,6,2,1,3,7,5] => [2,6,1,4,7,3,5] => [4,7,2,1,3,6,5] => 100011
[4,6,2,1,5,3,7] => [2,6,5,4,1,3,7] => [4,5,2,1,6,3,7] => 100110
[4,6,2,1,5,7,3] => [2,6,7,4,1,5,3] => [4,7,2,1,5,6,3] => 100011
[4,6,2,1,7,3,5] => [2,6,7,4,3,1,5] => [4,7,3,6,2,1,5] => 100011
[4,6,2,1,7,5,3] => [2,6,5,4,7,1,3] => [4,7,5,2,1,6,3] => 100111
[4,6,2,3,1,5,7] => [3,6,2,4,1,5,7] => [4,6,2,3,1,5,7] => 010010
[4,6,2,3,1,7,5] => [3,6,2,4,7,1,5] => [4,7,2,3,1,6,5] => 010011
[4,6,2,3,5,1,7] => [5,6,2,4,3,1,7] => [4,6,2,3,5,1,7] => 000110
[4,6,2,3,5,7,1] => [7,6,2,4,3,5,1] => [4,6,2,3,5,7,1] => 000011
[4,6,2,3,7,1,5] => [7,6,2,4,1,3,5] => [4,6,2,7,1,3,5] => 000011
[4,6,2,3,7,5,1] => [5,7,1,4,6,3,2] => [4,6,1,3,7,5,2] => 000111
[4,6,2,5,1,3,7] => [5,6,1,4,2,3,7] => [4,6,1,5,2,3,7] => 000110
[4,6,2,5,1,7,3] => [5,6,7,4,2,1,3] => [4,7,2,6,1,5,3] => 000111
[4,6,2,5,3,1,7] => [3,5,6,4,1,2,7] => [4,6,1,5,3,2,7] => 010110
[4,6,2,5,3,7,1] => [7,6,5,4,2,3,1] => [4,5,2,6,3,7,1] => 000111
[4,6,2,5,7,1,3] => [7,6,1,4,2,5,3] => [4,6,1,5,7,2,3] => 000011
[4,6,2,5,7,3,1] => [3,7,6,4,1,5,2] => [4,6,1,5,7,3,2] => 010011
[4,6,2,7,1,3,5] => [7,6,1,4,3,2,5] => [4,6,1,3,7,2,5] => 000011
[4,6,2,7,1,5,3] => [7,6,5,4,1,2,3] => [4,5,1,6,2,7,3] => 000111
[4,6,2,7,3,1,5] => [3,7,6,4,2,1,5] => [4,6,2,7,3,1,5] => 010011
[4,6,2,7,3,5,1] => [5,6,7,4,3,2,1] => [4,7,3,6,2,5,1] => 000111
[4,6,2,7,5,1,3] => [5,7,2,4,6,1,3] => [4,6,2,7,5,1,3] => 000111
[4,6,2,7,5,3,1] => [3,5,7,4,6,2,1] => [4,6,2,7,5,3,1] => 010111
[4,6,3,1,2,5,7] => [3,1,6,4,2,5,7] => [4,6,3,1,2,5,7] => 010010
[4,6,3,1,2,7,5] => [3,1,6,4,7,2,5] => [4,7,3,1,2,6,5] => 010011
[4,6,3,1,5,2,7] => [3,6,5,4,2,1,7] => [4,5,2,6,3,1,7] => 010110
[4,6,3,1,5,7,2] => [3,6,7,4,2,5,1] => [4,7,2,5,6,3,1] => 010011
[4,6,3,1,7,2,5] => [3,6,7,4,1,2,5] => [4,7,1,6,3,2,5] => 010011
[4,6,3,1,7,5,2] => [3,6,5,4,7,2,1] => [4,7,5,2,6,3,1] => 010111
[4,6,3,2,1,5,7] => [2,3,6,4,1,5,7] => [4,6,3,2,1,5,7] => 110010
[4,6,3,2,1,7,5] => [2,3,6,4,7,1,5] => [4,7,3,2,1,6,5] => 110011
[4,6,3,2,5,1,7] => [5,3,6,4,2,1,7] => [4,6,3,2,5,1,7] => 010110
[4,6,3,2,5,7,1] => [7,3,6,4,2,5,1] => [4,6,3,2,5,7,1] => 010011
[4,6,3,2,7,1,5] => [7,3,6,4,1,2,5] => [4,6,3,1,7,2,5] => 010011
[4,6,3,2,7,5,1] => [5,3,7,4,6,1,2] => [4,6,3,1,7,5,2] => 010111
[4,6,3,5,1,2,7] => [5,1,6,4,3,2,7] => [4,6,3,5,1,2,7] => 000110
[4,6,3,5,1,7,2] => [5,7,6,4,3,1,2] => [4,6,3,7,1,5,2] => 000111
[4,6,3,5,2,1,7] => [2,5,6,4,3,1,7] => [4,6,3,5,2,1,7] => 100110
[4,6,3,5,2,7,1] => [7,5,6,4,3,2,1] => [4,6,3,5,2,7,1] => 000111
[4,6,3,5,7,1,2] => [7,1,6,4,3,5,2] => [4,6,3,5,7,1,2] => 000011
[4,6,3,5,7,2,1] => [2,7,6,4,3,5,1] => [4,6,3,5,7,2,1] => 100011
[4,6,3,7,1,2,5] => [7,1,6,4,2,3,5] => [4,6,1,2,7,3,5] => 000011
[4,6,3,7,1,5,2] => [7,5,6,4,1,3,2] => [4,6,1,5,3,7,2] => 000111
[4,6,3,7,2,1,5] => [2,7,6,4,1,3,5] => [4,6,2,1,7,3,5] => 100011
[4,6,3,7,2,5,1] => [5,7,6,4,2,3,1] => [4,6,2,7,3,5,1] => 000111
[4,6,3,7,5,1,2] => [5,1,7,4,6,2,3] => [4,6,1,2,7,5,3] => 000111
[4,6,3,7,5,2,1] => [2,5,7,4,6,1,3] => [4,6,2,1,7,5,3] => 100111
[4,6,5,1,2,3,7] => [5,1,2,4,6,3,7] => [4,6,5,1,2,3,7] => 000110
[4,6,5,1,2,7,3] => [5,1,6,4,7,3,2] => [4,7,3,6,5,1,2] => 000111
[4,6,5,1,3,2,7] => [5,3,1,4,6,2,7] => [3,1,4,6,5,2,7] => 010110
[4,6,5,1,3,7,2] => [5,6,2,4,7,3,1] => [4,7,2,3,6,5,1] => 000111
[4,6,5,1,7,2,3] => [5,6,1,4,7,2,3] => [4,7,1,6,5,2,3] => 000111
[4,6,5,1,7,3,2] => [5,3,6,4,7,2,1] => [4,7,3,2,6,5,1] => 010111
[4,6,5,2,1,3,7] => [2,5,1,4,6,3,7] => [4,6,5,2,1,3,7] => 100110
[4,6,5,2,1,7,3] => [2,5,6,4,7,3,1] => [4,7,3,6,5,2,1] => 100111
[4,6,5,2,3,1,7] => [3,5,2,4,6,1,7] => [4,6,5,2,3,1,7] => 010110
[4,6,5,2,3,7,1] => [7,5,2,4,6,3,1] => [4,6,5,2,3,7,1] => 000111
[4,6,5,2,7,1,3] => [7,5,1,4,6,2,3] => [4,6,5,1,7,2,3] => 000111
[4,6,5,2,7,3,1] => [3,7,5,4,6,1,2] => [4,6,5,1,7,3,2] => 010111
[4,6,5,3,1,2,7] => [3,1,5,4,6,2,7] => [4,6,5,3,1,2,7] => 010110
[4,6,5,3,1,7,2] => [3,5,6,4,7,1,2] => [4,7,1,6,5,3,2] => 010111
[4,6,5,3,2,1,7] => [2,3,5,4,6,1,7] => [4,6,5,3,2,1,7] => 110110
[4,6,5,3,2,7,1] => [7,3,5,4,6,2,1] => [4,6,5,3,2,7,1] => 010111
[4,6,5,3,7,1,2] => [7,1,5,4,6,3,2] => [4,6,5,3,7,1,2] => 000111
[4,6,5,3,7,2,1] => [2,7,5,4,6,3,1] => [4,6,5,3,7,2,1] => 100111
[4,6,5,7,1,2,3] => [7,1,2,4,6,5,3] => [4,6,5,7,1,2,3] => 000011
[4,6,5,7,1,3,2] => [7,3,1,4,6,5,2] => [3,1,4,6,5,7,2] => 010011
[4,6,5,7,2,1,3] => [2,7,1,4,6,5,3] => [4,6,5,7,2,1,3] => 100011
[4,6,5,7,2,3,1] => [3,7,2,4,6,5,1] => [4,6,5,7,2,3,1] => 010011
[4,6,5,7,3,1,2] => [3,1,7,4,6,5,2] => [4,6,5,7,3,1,2] => 010011
[4,6,5,7,3,2,1] => [2,3,7,4,6,5,1] => [4,6,5,7,3,2,1] => 110011
[4,6,7,1,2,3,5] => [7,1,2,4,3,6,5] => [4,6,7,1,2,3,5] => 000001
[4,6,7,1,2,5,3] => [7,1,5,4,2,6,3] => [4,5,1,2,6,7,3] => 000101
[4,6,7,1,3,2,5] => [7,3,1,4,2,6,5] => [3,1,4,6,7,2,5] => 010001
[4,6,7,1,3,5,2] => [7,5,1,4,3,6,2] => [4,5,1,3,6,7,2] => 000101
[4,6,7,1,5,2,3] => [7,5,2,4,1,6,3] => [4,5,2,6,7,1,3] => 000101
[4,6,7,1,5,3,2] => [7,3,5,4,1,6,2] => [4,5,3,1,6,7,2] => 010101
[4,6,7,2,1,3,5] => [2,7,1,4,3,6,5] => [4,6,7,2,1,3,5] => 100001
[4,6,7,2,1,5,3] => [2,7,5,4,1,6,3] => [4,5,2,1,6,7,3] => 100101
[4,6,7,2,3,1,5] => [3,7,2,4,1,6,5] => [4,6,7,2,3,1,5] => 010001
[4,6,7,2,3,5,1] => [5,7,2,4,3,6,1] => [4,6,7,2,3,5,1] => 000101
[4,6,7,2,5,1,3] => [5,7,1,4,2,6,3] => [4,6,7,1,5,2,3] => 000101
[4,6,7,2,5,3,1] => [3,5,7,4,1,6,2] => [4,6,7,1,5,3,2] => 010101
[4,6,7,3,1,2,5] => [3,1,7,4,2,6,5] => [4,6,7,3,1,2,5] => 010001
[4,6,7,3,1,5,2] => [3,7,5,4,2,6,1] => [4,5,2,6,7,3,1] => 010101
[4,6,7,3,2,1,5] => [2,3,7,4,1,6,5] => [4,6,7,3,2,1,5] => 110001
[4,6,7,3,2,5,1] => [5,3,7,4,2,6,1] => [4,6,7,3,2,5,1] => 010101
[4,6,7,3,5,1,2] => [5,1,7,4,3,6,2] => [4,6,7,3,5,1,2] => 000101
[4,6,7,3,5,2,1] => [2,5,7,4,3,6,1] => [4,6,7,3,5,2,1] => 100101
[4,6,7,5,1,2,3] => [5,1,2,4,7,6,3] => [4,6,7,5,1,2,3] => 000101
[4,6,7,5,1,3,2] => [5,3,1,4,7,6,2] => [3,1,4,6,7,5,2] => 010101
[4,6,7,5,2,1,3] => [2,5,1,4,7,6,3] => [4,6,7,5,2,1,3] => 100101
[4,6,7,5,2,3,1] => [3,5,2,4,7,6,1] => [4,6,7,5,2,3,1] => 010101
[4,6,7,5,3,1,2] => [3,1,5,4,7,6,2] => [4,6,7,5,3,1,2] => 010101
[4,6,7,5,3,2,1] => [2,3,5,4,7,6,1] => [4,6,7,5,3,2,1] => 110101
[4,7,1,2,3,5,6] => [7,1,2,4,3,5,6] => [4,7,1,2,3,5,6] => 000001
[4,7,1,2,3,6,5] => [7,1,2,4,6,3,5] => [4,6,1,2,3,7,5] => 000011
[4,7,1,2,5,3,6] => [7,1,5,4,2,3,6] => [4,5,1,2,7,3,6] => 000101
[4,7,1,2,5,6,3] => [7,1,6,4,2,5,3] => [4,6,1,2,5,7,3] => 000011
[4,7,1,2,6,3,5] => [7,1,6,4,3,2,5] => [4,6,3,7,1,2,5] => 000011
[4,7,1,2,6,5,3] => [7,1,5,4,6,2,3] => [4,6,5,1,2,7,3] => 000111
[4,7,1,3,2,5,6] => [7,3,1,4,2,5,6] => [3,1,4,7,2,5,6] => 010001
[4,7,1,3,2,6,5] => [7,3,1,4,6,2,5] => [3,1,4,6,2,7,5] => 010011
[4,7,1,3,5,2,6] => [7,5,1,4,3,2,6] => [4,5,1,3,7,2,6] => 000101
[4,7,1,3,5,6,2] => [7,6,1,4,3,5,2] => [4,6,1,3,5,7,2] => 000011
[4,7,1,3,6,2,5] => [7,6,1,4,2,3,5] => [4,6,1,7,2,3,5] => 000011
[4,7,1,3,6,5,2] => [7,5,1,4,6,3,2] => [4,6,5,1,3,7,2] => 000111
[4,7,1,5,2,3,6] => [7,5,2,4,1,3,6] => [4,5,2,7,1,3,6] => 000101
[4,7,1,5,2,6,3] => [7,5,6,4,1,2,3] => [4,6,1,5,2,7,3] => 000111
[4,7,1,5,3,2,6] => [7,3,5,4,1,2,6] => [4,5,3,1,7,2,6] => 010101
[4,7,1,5,3,6,2] => [7,6,5,4,1,3,2] => [4,5,1,6,3,7,2] => 000111
[4,7,1,5,6,2,3] => [7,6,2,4,1,5,3] => [4,6,2,5,7,1,3] => 000011
[4,7,1,5,6,3,2] => [7,3,6,4,1,5,2] => [4,6,3,1,5,7,2] => 010011
[4,7,1,6,2,3,5] => [7,6,2,4,3,1,5] => [4,6,2,3,7,1,5] => 000011
[4,7,1,6,2,5,3] => [7,6,5,4,2,1,3] => [4,5,2,6,1,7,3] => 000111
[4,7,1,6,3,2,5] => [7,3,6,4,2,1,5] => [4,6,3,2,7,1,5] => 010011
[4,7,1,6,3,5,2] => [7,5,6,4,3,1,2] => [4,6,3,5,1,7,2] => 000111
[4,7,1,6,5,2,3] => [7,5,2,4,6,1,3] => [4,6,5,2,7,1,3] => 000111
[4,7,1,6,5,3,2] => [7,3,5,4,6,1,2] => [4,6,5,3,1,7,2] => 010111
[4,7,2,1,3,5,6] => [2,7,1,4,3,5,6] => [4,7,2,1,3,5,6] => 100001
[4,7,2,1,3,6,5] => [2,7,1,4,6,3,5] => [4,6,2,1,3,7,5] => 100011
[4,7,2,1,5,3,6] => [2,7,5,4,1,3,6] => [4,5,2,1,7,3,6] => 100101
[4,7,2,1,5,6,3] => [2,7,6,4,1,5,3] => [4,6,2,1,5,7,3] => 100011
[4,7,2,1,6,3,5] => [2,7,6,4,3,1,5] => [4,6,3,7,2,1,5] => 100011
[4,7,2,1,6,5,3] => [2,7,5,4,6,1,3] => [4,6,5,2,1,7,3] => 100111
[4,7,2,3,1,5,6] => [3,7,2,4,1,5,6] => [4,7,2,3,1,5,6] => 010001
[4,7,2,3,1,6,5] => [3,7,2,4,6,1,5] => [4,6,2,3,1,7,5] => 010011
[4,7,2,3,5,1,6] => [5,7,2,4,3,1,6] => [4,7,2,3,5,1,6] => 000101
[4,7,2,3,5,6,1] => [6,7,2,4,3,5,1] => [4,7,2,3,5,6,1] => 000011
[4,7,2,3,6,1,5] => [6,7,2,4,1,3,5] => [4,7,2,6,1,3,5] => 000011
[4,7,2,3,6,5,1] => [5,6,1,4,7,3,2] => [4,7,1,3,6,5,2] => 000111
[4,7,2,5,1,3,6] => [5,7,1,4,2,3,6] => [4,7,1,5,2,3,6] => 000101
[4,7,2,5,1,6,3] => [5,7,6,4,2,1,3] => [4,6,2,7,1,5,3] => 000111
[4,7,2,5,3,1,6] => [3,5,7,4,1,2,6] => [4,7,1,5,3,2,6] => 010101
[4,7,2,5,3,6,1] => [6,7,5,4,2,3,1] => [4,5,2,7,3,6,1] => 000111
[4,7,2,5,6,1,3] => [6,7,1,4,2,5,3] => [4,7,1,5,6,2,3] => 000011
[4,7,2,5,6,3,1] => [3,6,7,4,1,5,2] => [4,7,1,5,6,3,2] => 010011
[4,7,2,6,1,3,5] => [6,7,1,4,3,2,5] => [4,7,1,3,6,2,5] => 000011
[4,7,2,6,1,5,3] => [6,7,5,4,1,2,3] => [4,5,1,7,2,6,3] => 000111
[4,7,2,6,3,1,5] => [3,6,7,4,2,1,5] => [4,7,2,6,3,1,5] => 010011
[4,7,2,6,3,5,1] => [5,7,6,4,3,2,1] => [4,6,3,7,2,5,1] => 000111
[4,7,2,6,5,1,3] => [5,6,2,4,7,1,3] => [4,7,2,6,5,1,3] => 000111
[4,7,2,6,5,3,1] => [3,5,6,4,7,2,1] => [4,7,2,6,5,3,1] => 010111
[4,7,3,1,2,5,6] => [3,1,7,4,2,5,6] => [4,7,3,1,2,5,6] => 010001
[4,7,3,1,2,6,5] => [3,1,7,4,6,2,5] => [4,6,3,1,2,7,5] => 010011
[4,7,3,1,5,2,6] => [3,7,5,4,2,1,6] => [4,5,2,7,3,1,6] => 010101
[4,7,3,1,5,6,2] => [3,7,6,4,2,5,1] => [4,6,2,5,7,3,1] => 010011
[4,7,3,1,6,2,5] => [3,7,6,4,1,2,5] => [4,6,1,7,3,2,5] => 010011
[4,7,3,1,6,5,2] => [3,7,5,4,6,2,1] => [4,6,5,2,7,3,1] => 010111
[4,7,3,2,1,5,6] => [2,3,7,4,1,5,6] => [4,7,3,2,1,5,6] => 110001
[4,7,3,2,1,6,5] => [2,3,7,4,6,1,5] => [4,6,3,2,1,7,5] => 110011
[4,7,3,2,5,1,6] => [5,3,7,4,2,1,6] => [4,7,3,2,5,1,6] => 010101
[4,7,3,2,5,6,1] => [6,3,7,4,2,5,1] => [4,7,3,2,5,6,1] => 010011
[4,7,3,2,6,1,5] => [6,3,7,4,1,2,5] => [4,7,3,1,6,2,5] => 010011
[4,7,3,2,6,5,1] => [5,3,6,4,7,1,2] => [4,7,3,1,6,5,2] => 010111
[4,7,3,5,1,2,6] => [5,1,7,4,3,2,6] => [4,7,3,5,1,2,6] => 000101
[4,7,3,5,1,6,2] => [5,6,7,4,3,1,2] => [4,7,3,6,1,5,2] => 000111
[4,7,3,5,2,1,6] => [2,5,7,4,3,1,6] => [4,7,3,5,2,1,6] => 100101
[4,7,3,5,2,6,1] => [6,5,7,4,3,2,1] => [4,7,3,5,2,6,1] => 000111
[4,7,3,5,6,1,2] => [6,1,7,4,3,5,2] => [4,7,3,5,6,1,2] => 000011
[4,7,3,5,6,2,1] => [2,6,7,4,3,5,1] => [4,7,3,5,6,2,1] => 100011
[4,7,3,6,1,2,5] => [6,1,7,4,2,3,5] => [4,7,1,2,6,3,5] => 000011
[4,7,3,6,1,5,2] => [6,5,7,4,1,3,2] => [4,7,1,5,3,6,2] => 000111
[4,7,3,6,2,1,5] => [2,6,7,4,1,3,5] => [4,7,2,1,6,3,5] => 100011
[4,7,3,6,2,5,1] => [5,6,7,4,2,3,1] => [4,7,2,6,3,5,1] => 000111
[4,7,3,6,5,1,2] => [5,1,6,4,7,2,3] => [4,7,1,2,6,5,3] => 000111
[4,7,3,6,5,2,1] => [2,5,6,4,7,1,3] => [4,7,2,1,6,5,3] => 100111
[4,7,5,1,2,3,6] => [5,1,2,4,7,3,6] => [4,7,5,1,2,3,6] => 000101
[4,7,5,1,2,6,3] => [5,1,7,4,6,3,2] => [4,6,3,7,5,1,2] => 000111
[4,7,5,1,3,2,6] => [5,3,1,4,7,2,6] => [3,1,4,7,5,2,6] => 010101
[4,7,5,1,3,6,2] => [5,7,2,4,6,3,1] => [4,6,2,3,7,5,1] => 000111
[4,7,5,1,6,2,3] => [5,7,1,4,6,2,3] => [4,6,1,7,5,2,3] => 000111
[4,7,5,1,6,3,2] => [5,3,7,4,6,2,1] => [4,6,3,2,7,5,1] => 010111
[4,7,5,2,1,3,6] => [2,5,1,4,7,3,6] => [4,7,5,2,1,3,6] => 100101
[4,7,5,2,1,6,3] => [2,5,7,4,6,3,1] => [4,6,3,7,5,2,1] => 100111
[4,7,5,2,3,1,6] => [3,5,2,4,7,1,6] => [4,7,5,2,3,1,6] => 010101
[4,7,5,2,3,6,1] => [6,5,2,4,7,3,1] => [4,7,5,2,3,6,1] => 000111
[4,7,5,2,6,1,3] => [6,5,1,4,7,2,3] => [4,7,5,1,6,2,3] => 000111
[4,7,5,2,6,3,1] => [3,6,5,4,7,1,2] => [4,7,5,1,6,3,2] => 010111
[4,7,5,3,1,2,6] => [3,1,5,4,7,2,6] => [4,7,5,3,1,2,6] => 010101
[4,7,5,3,1,6,2] => [3,5,7,4,6,1,2] => [4,6,1,7,5,3,2] => 010111
[4,7,5,3,2,1,6] => [2,3,5,4,7,1,6] => [4,7,5,3,2,1,6] => 110101
[4,7,5,3,2,6,1] => [6,3,5,4,7,2,1] => [4,7,5,3,2,6,1] => 010111
[4,7,5,3,6,1,2] => [6,1,5,4,7,3,2] => [4,7,5,3,6,1,2] => 000111
[4,7,5,3,6,2,1] => [2,6,5,4,7,3,1] => [4,7,5,3,6,2,1] => 100111
[4,7,5,6,1,2,3] => [6,1,2,4,7,5,3] => [4,7,5,6,1,2,3] => 000011
[4,7,5,6,1,3,2] => [6,3,1,4,7,5,2] => [3,1,4,7,5,6,2] => 010011
[4,7,5,6,2,1,3] => [2,6,1,4,7,5,3] => [4,7,5,6,2,1,3] => 100011
[4,7,5,6,2,3,1] => [3,6,2,4,7,5,1] => [4,7,5,6,2,3,1] => 010011
[4,7,5,6,3,1,2] => [3,1,6,4,7,5,2] => [4,7,5,6,3,1,2] => 010011
[4,7,5,6,3,2,1] => [2,3,6,4,7,5,1] => [4,7,5,6,3,2,1] => 110011
[4,7,6,1,2,3,5] => [6,1,2,4,3,7,5] => [4,7,6,1,2,3,5] => 000011
[4,7,6,1,2,5,3] => [6,1,5,4,2,7,3] => [4,5,1,2,7,6,3] => 000111
[4,7,6,1,3,2,5] => [6,3,1,4,2,7,5] => [3,1,4,7,6,2,5] => 010011
[4,7,6,1,3,5,2] => [6,5,1,4,3,7,2] => [4,5,1,3,7,6,2] => 000111
[4,7,6,1,5,2,3] => [6,5,2,4,1,7,3] => [4,5,2,7,6,1,3] => 000111
[4,7,6,1,5,3,2] => [6,3,5,4,1,7,2] => [4,5,3,1,7,6,2] => 010111
[4,7,6,2,1,3,5] => [2,6,1,4,3,7,5] => [4,7,6,2,1,3,5] => 100011
[4,7,6,2,1,5,3] => [2,6,5,4,1,7,3] => [4,5,2,1,7,6,3] => 100111
[4,7,6,2,3,1,5] => [3,6,2,4,1,7,5] => [4,7,6,2,3,1,5] => 010011
[4,7,6,2,3,5,1] => [5,6,2,4,3,7,1] => [4,7,6,2,3,5,1] => 000111
[4,7,6,2,5,1,3] => [5,6,1,4,2,7,3] => [4,7,6,1,5,2,3] => 000111
[4,7,6,2,5,3,1] => [3,5,6,4,1,7,2] => [4,7,6,1,5,3,2] => 010111
[4,7,6,3,1,2,5] => [3,1,6,4,2,7,5] => [4,7,6,3,1,2,5] => 010011
[4,7,6,3,1,5,2] => [3,6,5,4,2,7,1] => [4,5,2,7,6,3,1] => 010111
[4,7,6,3,2,1,5] => [2,3,6,4,1,7,5] => [4,7,6,3,2,1,5] => 110011
[4,7,6,3,2,5,1] => [5,3,6,4,2,7,1] => [4,7,6,3,2,5,1] => 010111
[4,7,6,3,5,1,2] => [5,1,6,4,3,7,2] => [4,7,6,3,5,1,2] => 000111
[4,7,6,3,5,2,1] => [2,5,6,4,3,7,1] => [4,7,6,3,5,2,1] => 100111
[4,7,6,5,1,2,3] => [5,1,2,4,6,7,3] => [4,7,6,5,1,2,3] => 000111
[4,7,6,5,1,3,2] => [5,3,1,4,6,7,2] => [3,1,4,7,6,5,2] => 010111
[4,7,6,5,2,1,3] => [2,5,1,4,6,7,3] => [4,7,6,5,2,1,3] => 100111
[4,7,6,5,2,3,1] => [3,5,2,4,6,7,1] => [4,7,6,5,2,3,1] => 010111
[4,7,6,5,3,1,2] => [3,1,5,4,6,7,2] => [4,7,6,5,3,1,2] => 010111
[4,7,6,5,3,2,1] => [2,3,5,4,6,7,1] => [4,7,6,5,3,2,1] => 110111
[5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => 000100
[5,1,2,3,4,7,6] => [5,1,2,3,4,7,6] => [5,1,2,3,4,7,6] => 000101
[5,1,2,3,6,4,7] => [5,1,2,6,3,4,7] => [6,1,2,3,5,4,7] => 000110
[5,1,2,3,6,7,4] => [5,1,2,7,3,6,4] => [6,7,1,2,3,5,4] => 000101
[5,1,2,3,7,4,6] => [5,1,2,7,3,4,6] => [7,1,2,3,5,4,6] => 000101
[5,1,2,3,7,6,4] => [5,1,2,6,3,7,4] => [7,6,1,2,3,5,4] => 000111
[5,1,2,4,3,6,7] => [5,1,4,2,3,6,7] => [4,1,2,5,3,6,7] => 001100
[5,1,2,4,3,7,6] => [5,1,4,2,3,7,6] => [4,1,2,5,3,7,6] => 001101
[5,1,2,4,6,3,7] => [5,1,6,2,4,3,7] => [6,1,2,4,5,3,7] => 000110
[5,1,2,4,6,7,3] => [5,1,7,2,4,6,3] => [6,7,1,2,4,5,3] => 000101
[5,1,2,4,7,3,6] => [5,1,7,2,4,3,6] => [7,1,2,4,5,3,6] => 000101
[5,1,2,4,7,6,3] => [5,1,6,2,4,7,3] => [7,6,1,2,4,5,3] => 000111
[5,1,2,6,3,4,7] => [5,1,6,3,2,4,7] => [6,3,5,1,2,4,7] => 000110
[5,1,2,6,3,7,4] => [5,1,6,7,2,3,4] => [7,1,2,6,3,5,4] => 000111
[5,1,2,6,4,3,7] => [5,1,4,6,2,3,7] => [6,4,1,2,5,3,7] => 001110
[5,1,2,6,4,7,3] => [5,1,7,6,2,4,3] => [6,1,2,7,4,5,3] => 000111
[5,1,2,6,7,3,4] => [5,1,7,3,2,6,4] => [6,7,3,5,1,2,4] => 000101
[5,1,2,6,7,4,3] => [5,1,4,7,2,6,3] => [6,7,4,1,2,5,3] => 001101
[5,1,2,7,3,4,6] => [5,1,7,3,2,4,6] => [7,3,5,1,2,4,6] => 000101
[5,1,2,7,3,6,4] => [5,1,7,6,2,3,4] => [6,1,2,7,3,5,4] => 000111
[5,1,2,7,4,3,6] => [5,1,4,7,2,3,6] => [7,4,1,2,5,3,6] => 001101
[5,1,2,7,4,6,3] => [5,1,6,7,2,4,3] => [7,1,2,6,4,5,3] => 000111
[5,1,2,7,6,3,4] => [5,1,6,3,2,7,4] => [7,6,3,5,1,2,4] => 000111
[5,1,2,7,6,4,3] => [5,1,4,6,2,7,3] => [7,6,4,1,2,5,3] => 001111
[5,1,3,2,4,6,7] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => 010100
[5,1,3,2,4,7,6] => [5,3,1,2,4,7,6] => [3,1,5,2,4,7,6] => 010101
[5,1,3,2,6,4,7] => [5,3,1,6,2,4,7] => [3,1,6,2,5,4,7] => 010110
[5,1,3,2,6,7,4] => [5,3,1,7,2,6,4] => [3,1,6,7,2,5,4] => 010101
[5,1,3,2,7,4,6] => [5,3,1,7,2,4,6] => [3,1,7,2,5,4,6] => 010101
[5,1,3,2,7,6,4] => [5,3,1,6,2,7,4] => [3,1,7,6,2,5,4] => 010111
[5,1,3,4,2,6,7] => [5,4,1,3,2,6,7] => [4,1,3,5,2,6,7] => 001100
[5,1,3,4,2,7,6] => [5,4,1,3,2,7,6] => [4,1,3,5,2,7,6] => 001101
[5,1,3,4,6,2,7] => [5,6,1,3,4,2,7] => [6,1,3,4,5,2,7] => 000110
[5,1,3,4,6,7,2] => [5,7,1,3,4,6,2] => [6,7,1,3,4,5,2] => 000101
[5,1,3,4,7,2,6] => [5,7,1,3,4,2,6] => [7,1,3,4,5,2,6] => 000101
[5,1,3,4,7,6,2] => [5,6,1,3,4,7,2] => [7,6,1,3,4,5,2] => 000111
[5,1,3,6,2,4,7] => [5,6,1,2,3,4,7] => [6,1,5,2,3,4,7] => 000110
[5,1,3,6,2,7,4] => [5,6,1,7,3,2,4] => [7,1,3,6,2,5,4] => 000111
[5,1,3,6,4,2,7] => [5,4,1,6,3,2,7] => [6,4,1,3,5,2,7] => 001110
[5,1,3,6,4,7,2] => [5,7,1,6,3,4,2] => [6,1,3,7,4,5,2] => 000111
[5,1,3,6,7,2,4] => [5,7,1,2,3,6,4] => [6,7,1,5,2,3,4] => 000101
[5,1,3,6,7,4,2] => [5,4,1,7,3,6,2] => [6,7,4,1,3,5,2] => 001101
[5,1,3,7,2,4,6] => [5,7,1,2,3,4,6] => [7,1,5,2,3,4,6] => 000101
[5,1,3,7,2,6,4] => [5,7,1,6,3,2,4] => [6,1,3,7,2,5,4] => 000111
[5,1,3,7,4,2,6] => [5,4,1,7,3,2,6] => [7,4,1,3,5,2,6] => 001101
[5,1,3,7,4,6,2] => [5,6,1,7,3,4,2] => [7,1,3,6,4,5,2] => 000111
[5,1,3,7,6,2,4] => [5,6,1,2,3,7,4] => [7,6,1,5,2,3,4] => 000111
[5,1,3,7,6,4,2] => [5,4,1,6,3,7,2] => [7,6,4,1,3,5,2] => 001111
[5,1,4,2,3,6,7] => [5,4,2,1,3,6,7] => [4,2,5,1,3,6,7] => 001100
[5,1,4,2,3,7,6] => [5,4,2,1,3,7,6] => [4,2,5,1,3,7,6] => 001101
[5,1,4,2,6,3,7] => [5,4,6,1,2,3,7] => [6,1,4,2,5,3,7] => 001110
[5,1,4,2,6,7,3] => [5,4,7,1,2,6,3] => [6,7,1,4,2,5,3] => 001101
[5,1,4,2,7,3,6] => [5,4,7,1,2,3,6] => [7,1,4,2,5,3,6] => 001101
[5,1,4,2,7,6,3] => [5,4,6,1,2,7,3] => [7,6,1,4,2,5,3] => 001111
[5,1,4,3,2,6,7] => [5,3,4,1,2,6,7] => [4,3,1,5,2,6,7] => 011100
[5,1,4,3,2,7,6] => [5,3,4,1,2,7,6] => [4,3,1,5,2,7,6] => 011101
[5,1,4,3,6,2,7] => [5,6,4,1,3,2,7] => [4,1,6,3,5,2,7] => 001110
[5,1,4,3,6,7,2] => [5,7,4,1,3,6,2] => [4,1,6,7,3,5,2] => 001101
[5,1,4,3,7,2,6] => [5,7,4,1,3,2,6] => [4,1,7,3,5,2,6] => 001101
[5,1,4,3,7,6,2] => [5,6,4,1,3,7,2] => [4,1,7,6,3,5,2] => 001111
[5,1,4,6,2,3,7] => [5,6,2,1,4,3,7] => [6,2,4,5,1,3,7] => 000110
[5,1,4,6,2,7,3] => [5,6,7,1,4,2,3] => [7,1,4,6,2,5,3] => 000111
[5,1,4,6,3,2,7] => [5,3,6,1,4,2,7] => [6,3,1,4,5,2,7] => 010110
[5,1,4,6,3,7,2] => [5,7,6,1,4,3,2] => [6,1,4,7,3,5,2] => 000111
[5,1,4,6,7,2,3] => [5,7,2,1,4,6,3] => [6,7,2,4,5,1,3] => 000101
[5,1,4,6,7,3,2] => [5,3,7,1,4,6,2] => [6,7,3,1,4,5,2] => 010101
[5,1,4,7,2,3,6] => [5,7,2,1,4,3,6] => [7,2,4,5,1,3,6] => 000101
[5,1,4,7,2,6,3] => [5,7,6,1,4,2,3] => [6,1,4,7,2,5,3] => 000111
[5,1,4,7,3,2,6] => [5,3,7,1,4,2,6] => [7,3,1,4,5,2,6] => 010101
[5,1,4,7,3,6,2] => [5,6,7,1,4,3,2] => [7,1,4,6,3,5,2] => 000111
[5,1,4,7,6,2,3] => [5,6,2,1,4,7,3] => [7,6,2,4,5,1,3] => 000111
[5,1,4,7,6,3,2] => [5,3,6,1,4,7,2] => [7,6,3,1,4,5,2] => 010111
[5,1,6,2,3,4,7] => [5,6,2,3,1,4,7] => [6,2,3,5,1,4,7] => 000110
[5,1,6,2,3,7,4] => [5,6,2,7,1,3,4] => [7,2,6,1,3,5,4] => 000111
[5,1,6,2,4,3,7] => [5,6,4,2,1,3,7] => [4,2,6,1,5,3,7] => 001110
[5,1,6,2,4,7,3] => [5,6,7,2,1,4,3] => [7,2,6,1,4,5,3] => 000111
[5,1,6,2,7,3,4] => [5,6,7,3,1,2,4] => [7,3,6,1,5,2,4] => 000111
[5,1,6,2,7,4,3] => [5,6,4,7,1,2,3] => [7,4,1,6,2,5,3] => 001111
[5,1,6,3,2,4,7] => [5,3,6,2,1,4,7] => [6,3,2,5,1,4,7] => 010110
[5,1,6,3,2,7,4] => [5,3,6,7,1,2,4] => [7,3,1,6,2,5,4] => 010111
[5,1,6,3,4,2,7] => [5,4,6,3,1,2,7] => [6,3,4,1,5,2,7] => 001110
[5,1,6,3,4,7,2] => [5,7,6,3,1,4,2] => [6,3,7,1,4,5,2] => 000111
[5,1,6,3,7,2,4] => [5,7,6,2,1,3,4] => [6,2,7,1,5,3,4] => 000111
[5,1,6,3,7,4,2] => [5,4,7,6,1,2,3] => [6,1,7,4,2,5,3] => 001111
[5,1,6,4,2,3,7] => [5,4,2,6,1,3,7] => [6,4,2,5,1,3,7] => 001110
[5,1,6,4,2,7,3] => [5,4,6,7,1,3,2] => [7,1,6,4,3,5,2] => 001111
[5,1,6,4,3,2,7] => [5,3,4,6,1,2,7] => [6,4,3,1,5,2,7] => 011110
[5,1,6,4,3,7,2] => [5,7,4,6,1,3,2] => [6,4,1,7,3,5,2] => 001111
[5,1,6,4,7,2,3] => [5,7,2,6,1,4,3] => [6,2,7,4,5,1,3] => 000111
[5,1,6,4,7,3,2] => [5,3,7,6,1,4,2] => [6,3,1,7,4,5,2] => 010111
[5,1,6,7,2,3,4] => [5,7,2,3,1,6,4] => [6,7,2,3,5,1,4] => 000101
[5,1,6,7,2,4,3] => [5,7,4,2,1,6,3] => [4,2,6,7,1,5,3] => 001101
[5,1,6,7,3,2,4] => [5,3,7,2,1,6,4] => [6,7,3,2,5,1,4] => 010101
[5,1,6,7,3,4,2] => [5,4,7,3,1,6,2] => [6,7,3,4,1,5,2] => 001101
[5,1,6,7,4,2,3] => [5,4,2,7,1,6,3] => [6,7,4,2,5,1,3] => 001101
[5,1,6,7,4,3,2] => [5,3,4,7,1,6,2] => [6,7,4,3,1,5,2] => 011101
[5,1,7,2,3,4,6] => [5,7,2,3,1,4,6] => [7,2,3,5,1,4,6] => 000101
[5,1,7,2,3,6,4] => [5,7,2,6,1,3,4] => [6,2,7,1,3,5,4] => 000111
[5,1,7,2,4,3,6] => [5,7,4,2,1,3,6] => [4,2,7,1,5,3,6] => 001101
[5,1,7,2,4,6,3] => [5,7,6,2,1,4,3] => [6,2,7,1,4,5,3] => 000111
[5,1,7,2,6,3,4] => [5,7,6,3,1,2,4] => [6,3,7,1,5,2,4] => 000111
[5,1,7,2,6,4,3] => [5,7,4,6,1,2,3] => [6,4,1,7,2,5,3] => 001111
[5,1,7,3,2,4,6] => [5,3,7,2,1,4,6] => [7,3,2,5,1,4,6] => 010101
[5,1,7,3,2,6,4] => [5,3,7,6,1,2,4] => [6,3,1,7,2,5,4] => 010111
[5,1,7,3,4,2,6] => [5,4,7,3,1,2,6] => [7,3,4,1,5,2,6] => 001101
[5,1,7,3,4,6,2] => [5,6,7,3,1,4,2] => [7,3,6,1,4,5,2] => 000111
[5,1,7,3,6,2,4] => [5,6,7,2,1,3,4] => [7,2,6,1,5,3,4] => 000111
[5,1,7,3,6,4,2] => [5,4,6,7,1,2,3] => [7,1,6,4,2,5,3] => 001111
[5,1,7,4,2,3,6] => [5,4,2,7,1,3,6] => [7,4,2,5,1,3,6] => 001101
[5,1,7,4,2,6,3] => [5,4,7,6,1,3,2] => [6,1,7,4,3,5,2] => 001111
[5,1,7,4,3,2,6] => [5,3,4,7,1,2,6] => [7,4,3,1,5,2,6] => 011101
[5,1,7,4,3,6,2] => [5,6,4,7,1,3,2] => [7,4,1,6,3,5,2] => 001111
[5,1,7,4,6,2,3] => [5,6,2,7,1,4,3] => [7,2,6,4,5,1,3] => 000111
[5,1,7,4,6,3,2] => [5,3,6,7,1,4,2] => [7,3,1,6,4,5,2] => 010111
[5,1,7,6,2,3,4] => [5,6,2,3,1,7,4] => [7,6,2,3,5,1,4] => 000111
[5,1,7,6,2,4,3] => [5,6,4,2,1,7,3] => [4,2,7,6,1,5,3] => 001111
[5,1,7,6,3,2,4] => [5,3,6,2,1,7,4] => [7,6,3,2,5,1,4] => 010111
[5,1,7,6,3,4,2] => [5,4,6,3,1,7,2] => [7,6,3,4,1,5,2] => 001111
[5,1,7,6,4,2,3] => [5,4,2,6,1,7,3] => [7,6,4,2,5,1,3] => 001111
[5,1,7,6,4,3,2] => [5,3,4,6,1,7,2] => [7,6,4,3,1,5,2] => 011111
[5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => [5,2,1,3,4,6,7] => 100100
[5,2,1,3,4,7,6] => [2,5,1,3,4,7,6] => [5,2,1,3,4,7,6] => 100101
[5,2,1,3,6,4,7] => [2,5,1,6,3,4,7] => [6,2,1,3,5,4,7] => 100110
[5,2,1,3,6,7,4] => [2,5,1,7,3,6,4] => [6,7,2,1,3,5,4] => 100101
[5,2,1,3,7,4,6] => [2,5,1,7,3,4,6] => [7,2,1,3,5,4,6] => 100101
[5,2,1,3,7,6,4] => [2,5,1,6,3,7,4] => [7,6,2,1,3,5,4] => 100111
[5,2,1,4,3,6,7] => [2,5,4,1,3,6,7] => [4,2,1,5,3,6,7] => 101100
[5,2,1,4,3,7,6] => [2,5,4,1,3,7,6] => [4,2,1,5,3,7,6] => 101101
[5,2,1,4,6,3,7] => [2,5,6,1,4,3,7] => [6,2,1,4,5,3,7] => 100110
[5,2,1,4,6,7,3] => [2,5,7,1,4,6,3] => [6,7,2,1,4,5,3] => 100101
[5,2,1,4,7,3,6] => [2,5,7,1,4,3,6] => [7,2,1,4,5,3,6] => 100101
[5,2,1,4,7,6,3] => [2,5,6,1,4,7,3] => [7,6,2,1,4,5,3] => 100111
[5,2,1,6,3,4,7] => [2,5,6,3,1,4,7] => [6,3,5,2,1,4,7] => 100110
[5,2,1,6,3,7,4] => [2,5,6,7,1,3,4] => [7,2,1,6,3,5,4] => 100111
[5,2,1,6,4,3,7] => [2,5,4,6,1,3,7] => [6,4,2,1,5,3,7] => 101110
[5,2,1,6,4,7,3] => [2,5,7,6,1,4,3] => [6,2,1,7,4,5,3] => 100111
[5,2,1,6,7,3,4] => [2,5,7,3,1,6,4] => [6,7,3,5,2,1,4] => 100101
[5,2,1,6,7,4,3] => [2,5,4,7,1,6,3] => [6,7,4,2,1,5,3] => 101101
[5,2,1,7,3,4,6] => [2,5,7,3,1,4,6] => [7,3,5,2,1,4,6] => 100101
[5,2,1,7,3,6,4] => [2,5,7,6,1,3,4] => [6,2,1,7,3,5,4] => 100111
[5,2,1,7,4,3,6] => [2,5,4,7,1,3,6] => [7,4,2,1,5,3,6] => 101101
[5,2,1,7,4,6,3] => [2,5,6,7,1,4,3] => [7,2,1,6,4,5,3] => 100111
[5,2,1,7,6,3,4] => [2,5,6,3,1,7,4] => [7,6,3,5,2,1,4] => 100111
[5,2,1,7,6,4,3] => [2,5,4,6,1,7,3] => [7,6,4,2,1,5,3] => 101111
[5,2,3,1,4,6,7] => [3,5,2,1,4,6,7] => [5,2,3,1,4,6,7] => 010100
[5,2,3,1,4,7,6] => [3,5,2,1,4,7,6] => [5,2,3,1,4,7,6] => 010101
[5,2,3,1,6,4,7] => [3,5,2,6,1,4,7] => [6,2,3,1,5,4,7] => 010110
[5,2,3,1,6,7,4] => [3,5,2,7,1,6,4] => [6,7,2,3,1,5,4] => 010101
[5,2,3,1,7,4,6] => [3,5,2,7,1,4,6] => [7,2,3,1,5,4,6] => 010101
[5,2,3,1,7,6,4] => [3,5,2,6,1,7,4] => [7,6,2,3,1,5,4] => 010111
[5,2,3,4,1,6,7] => [4,5,2,3,1,6,7] => [5,2,3,4,1,6,7] => 001100
[5,2,3,4,1,7,6] => [4,5,2,3,1,7,6] => [5,2,3,4,1,7,6] => 001101
[5,2,3,4,6,1,7] => [6,5,2,3,4,1,7] => [5,2,3,4,6,1,7] => 000110
[5,2,3,4,6,7,1] => [7,5,2,3,4,6,1] => [5,2,3,4,6,7,1] => 000101
[5,2,3,4,7,1,6] => [7,5,2,3,4,1,6] => [5,2,3,4,7,1,6] => 000101
[5,2,3,4,7,6,1] => [6,5,2,3,4,7,1] => [5,2,3,4,7,6,1] => 000111
[5,2,3,6,1,4,7] => [6,5,2,1,3,4,7] => [5,2,6,1,3,4,7] => 000110
[5,2,3,6,1,7,4] => [6,5,2,7,3,1,4] => [7,2,3,5,1,6,4] => 000111
[5,2,3,6,4,1,7] => [4,6,1,5,3,2,7] => [5,1,3,6,4,2,7] => 001110
[5,2,3,6,4,7,1] => [7,5,2,6,3,4,1] => [6,2,3,5,4,7,1] => 000111
[5,2,3,6,7,1,4] => [7,5,2,1,3,6,4] => [5,2,6,7,1,3,4] => 000101
[5,2,3,6,7,4,1] => [4,7,1,5,3,6,2] => [5,1,3,6,7,4,2] => 001101
[5,2,3,7,1,4,6] => [7,5,2,1,3,4,6] => [5,2,7,1,3,4,6] => 000101
[5,2,3,7,1,6,4] => [7,5,2,6,3,1,4] => [6,2,3,5,1,7,4] => 000111
[5,2,3,7,4,1,6] => [4,7,1,5,3,2,6] => [5,1,3,7,4,2,6] => 001101
[5,2,3,7,4,6,1] => [6,5,2,7,3,4,1] => [7,2,3,5,4,6,1] => 000111
[5,2,3,7,6,1,4] => [6,5,2,1,3,7,4] => [5,2,7,6,1,3,4] => 000111
[5,2,3,7,6,4,1] => [4,6,1,5,3,7,2] => [5,1,3,7,6,4,2] => 001111
[5,2,4,1,3,6,7] => [4,5,1,2,3,6,7] => [5,1,4,2,3,6,7] => 001100
[5,2,4,1,3,7,6] => [4,5,1,2,3,7,6] => [5,1,4,2,3,7,6] => 001101
[5,2,4,1,6,3,7] => [4,5,6,2,1,3,7] => [6,2,5,1,4,3,7] => 001110
[5,2,4,1,6,7,3] => [4,5,7,2,1,6,3] => [6,7,2,5,1,4,3] => 001101
[5,2,4,1,7,3,6] => [4,5,7,2,1,3,6] => [7,2,5,1,4,3,6] => 001101
[5,2,4,1,7,6,3] => [4,5,6,2,1,7,3] => [7,6,2,5,1,4,3] => 001111
[5,2,4,3,1,6,7] => [3,4,5,1,2,6,7] => [5,1,4,3,2,6,7] => 011100
[5,2,4,3,1,7,6] => [3,4,5,1,2,7,6] => [5,1,4,3,2,7,6] => 011101
[5,2,4,3,6,1,7] => [6,5,4,2,3,1,7] => [4,2,5,3,6,1,7] => 001110
[5,2,4,3,6,7,1] => [7,5,4,2,3,6,1] => [4,2,5,3,6,7,1] => 001101
[5,2,4,3,7,1,6] => [7,5,4,2,3,1,6] => [4,2,5,3,7,1,6] => 001101
[5,2,4,3,7,6,1] => [6,5,4,2,3,7,1] => [4,2,5,3,7,6,1] => 001111
[5,2,4,6,1,3,7] => [6,5,1,2,4,3,7] => [5,1,4,6,2,3,7] => 000110
[5,2,4,6,1,7,3] => [6,5,7,2,4,1,3] => [7,2,4,5,1,6,3] => 000111
[5,2,4,6,3,1,7] => [3,6,5,1,4,2,7] => [5,1,4,6,3,2,7] => 010110
[5,2,4,6,3,7,1] => [7,5,6,2,4,3,1] => [6,2,4,5,3,7,1] => 000111
[5,2,4,6,7,1,3] => [7,5,1,2,4,6,3] => [5,1,4,6,7,2,3] => 000101
[5,2,4,6,7,3,1] => [3,7,5,1,4,6,2] => [5,1,4,6,7,3,2] => 010101
[5,2,4,7,1,3,6] => [7,5,1,2,4,3,6] => [5,1,4,7,2,3,6] => 000101
[5,2,4,7,1,6,3] => [7,5,6,2,4,1,3] => [6,2,4,5,1,7,3] => 000111
[5,2,4,7,3,1,6] => [3,7,5,1,4,2,6] => [5,1,4,7,3,2,6] => 010101
[5,2,4,7,3,6,1] => [6,5,7,2,4,3,1] => [7,2,4,5,3,6,1] => 000111
[5,2,4,7,6,1,3] => [6,5,1,2,4,7,3] => [5,1,4,7,6,2,3] => 000111
[5,2,4,7,6,3,1] => [3,6,5,1,4,7,2] => [5,1,4,7,6,3,2] => 010111
[5,2,6,1,3,4,7] => [6,5,1,3,2,4,7] => [5,1,3,6,2,4,7] => 000110
[5,2,6,1,3,7,4] => [6,5,1,7,2,3,4] => [7,1,5,2,3,6,4] => 000111
[5,2,6,1,4,3,7] => [6,5,4,1,2,3,7] => [4,1,5,2,6,3,7] => 001110
[5,2,6,1,4,7,3] => [6,5,7,1,2,4,3] => [7,1,5,2,4,6,3] => 000111
[5,2,6,1,7,3,4] => [6,5,7,3,2,1,4] => [7,3,5,2,6,1,4] => 000111
[5,2,6,1,7,4,3] => [6,5,4,7,2,1,3] => [7,4,2,5,1,6,3] => 001111
[5,2,6,3,1,4,7] => [3,6,5,2,1,4,7] => [5,2,6,3,1,4,7] => 010110
[5,2,6,3,1,7,4] => [3,6,5,7,1,2,4] => [7,1,5,3,2,6,4] => 010111
[5,2,6,3,4,1,7] => [4,5,6,3,2,1,7] => [6,3,5,2,4,1,7] => 001110
[5,2,6,3,4,7,1] => [7,5,6,3,2,4,1] => [6,3,5,2,4,7,1] => 000111
[5,2,6,3,7,1,4] => [7,5,6,1,2,3,4] => [6,1,5,2,7,3,4] => 000111
[5,2,6,3,7,4,1] => [4,7,5,6,3,1,2] => [6,3,5,1,7,4,2] => 001111
[5,2,6,4,1,3,7] => [4,6,2,5,1,3,7] => [5,2,6,4,1,3,7] => 001110
[5,2,6,4,1,7,3] => [4,6,5,7,3,2,1] => [7,3,5,2,6,4,1] => 001111
[5,2,6,4,3,1,7] => [3,4,6,5,2,1,7] => [5,2,6,4,3,1,7] => 011110
[5,2,6,4,3,7,1] => [7,5,4,6,2,3,1] => [6,4,2,5,3,7,1] => 001111
[5,2,6,4,7,1,3] => [7,5,1,6,2,4,3] => [6,1,5,4,7,2,3] => 000111
[5,2,6,4,7,3,1] => [3,7,5,6,1,4,2] => [6,1,5,4,7,3,2] => 010111
[5,2,6,7,1,3,4] => [7,5,1,3,2,6,4] => [5,1,3,6,7,2,4] => 000101
[5,2,6,7,1,4,3] => [7,5,4,1,2,6,3] => [4,1,5,2,6,7,3] => 001101
[5,2,6,7,3,1,4] => [3,7,5,2,1,6,4] => [5,2,6,7,3,1,4] => 010101
[5,2,6,7,3,4,1] => [4,5,7,3,2,6,1] => [6,7,3,5,2,4,1] => 001101
[5,2,6,7,4,1,3] => [4,7,2,5,1,6,3] => [5,2,6,7,4,1,3] => 001101
[5,2,6,7,4,3,1] => [3,4,7,5,2,6,1] => [5,2,6,7,4,3,1] => 011101
[5,2,7,1,3,4,6] => [7,5,1,3,2,4,6] => [5,1,3,7,2,4,6] => 000101
[5,2,7,1,3,6,4] => [7,5,1,6,2,3,4] => [6,1,5,2,3,7,4] => 000111
[5,2,7,1,4,3,6] => [7,5,4,1,2,3,6] => [4,1,5,2,7,3,6] => 001101
[5,2,7,1,4,6,3] => [7,5,6,1,2,4,3] => [6,1,5,2,4,7,3] => 000111
[5,2,7,1,6,3,4] => [7,5,6,3,2,1,4] => [6,3,5,2,7,1,4] => 000111
[5,2,7,1,6,4,3] => [7,5,4,6,2,1,3] => [6,4,2,5,1,7,3] => 001111
[5,2,7,3,1,4,6] => [3,7,5,2,1,4,6] => [5,2,7,3,1,4,6] => 010101
[5,2,7,3,1,6,4] => [3,7,5,6,1,2,4] => [6,1,5,3,2,7,4] => 010111
[5,2,7,3,4,1,6] => [4,5,7,3,2,1,6] => [7,3,5,2,4,1,6] => 001101
[5,2,7,3,4,6,1] => [6,5,7,3,2,4,1] => [7,3,5,2,4,6,1] => 000111
[5,2,7,3,6,1,4] => [6,5,7,1,2,3,4] => [7,1,5,2,6,3,4] => 000111
[5,2,7,3,6,4,1] => [4,6,5,7,3,1,2] => [7,3,5,1,6,4,2] => 001111
[5,2,7,4,1,3,6] => [4,7,2,5,1,3,6] => [5,2,7,4,1,3,6] => 001101
[5,2,7,4,1,6,3] => [4,7,5,6,3,2,1] => [6,3,5,2,7,4,1] => 001111
[5,2,7,4,3,1,6] => [3,4,7,5,2,1,6] => [5,2,7,4,3,1,6] => 011101
[5,2,7,4,3,6,1] => [6,5,4,7,2,3,1] => [7,4,2,5,3,6,1] => 001111
[5,2,7,4,6,1,3] => [6,5,1,7,2,4,3] => [7,1,5,4,6,2,3] => 000111
[5,2,7,4,6,3,1] => [3,6,5,7,1,4,2] => [7,1,5,4,6,3,2] => 010111
[5,2,7,6,1,3,4] => [6,5,1,3,2,7,4] => [5,1,3,7,6,2,4] => 000111
[5,2,7,6,1,4,3] => [6,5,4,1,2,7,3] => [4,1,5,2,7,6,3] => 001111
[5,2,7,6,3,1,4] => [3,6,5,2,1,7,4] => [5,2,7,6,3,1,4] => 010111
[5,2,7,6,3,4,1] => [4,5,6,3,2,7,1] => [7,6,3,5,2,4,1] => 001111
[5,2,7,6,4,1,3] => [4,6,2,5,1,7,3] => [5,2,7,6,4,1,3] => 001111
[5,2,7,6,4,3,1] => [3,4,6,5,2,7,1] => [5,2,7,6,4,3,1] => 011111
[5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => [5,3,1,2,4,6,7] => 010100
[5,3,1,2,4,7,6] => [3,1,5,2,4,7,6] => [5,3,1,2,4,7,6] => 010101
[5,3,1,2,6,4,7] => [3,1,5,6,2,4,7] => [6,3,1,2,5,4,7] => 010110
[5,3,1,2,6,7,4] => [3,1,5,7,2,6,4] => [6,7,3,1,2,5,4] => 010101
[5,3,1,2,7,4,6] => [3,1,5,7,2,4,6] => [7,3,1,2,5,4,6] => 010101
[5,3,1,2,7,6,4] => [3,1,5,6,2,7,4] => [7,6,3,1,2,5,4] => 010111
[5,3,1,4,2,6,7] => [3,5,4,2,1,6,7] => [4,2,5,3,1,6,7] => 011100
[5,3,1,4,2,7,6] => [3,5,4,2,1,7,6] => [4,2,5,3,1,7,6] => 011101
[5,3,1,4,6,2,7] => [3,5,6,2,4,1,7] => [6,2,4,5,3,1,7] => 010110
[5,3,1,4,6,7,2] => [3,5,7,2,4,6,1] => [6,7,2,4,5,3,1] => 010101
[5,3,1,4,7,2,6] => [3,5,7,2,4,1,6] => [7,2,4,5,3,1,6] => 010101
[5,3,1,4,7,6,2] => [3,5,6,2,4,7,1] => [7,6,2,4,5,3,1] => 010111
[5,3,1,6,2,4,7] => [3,5,6,1,2,4,7] => [6,1,5,3,2,4,7] => 010110
[5,3,1,6,2,7,4] => [3,5,6,7,2,1,4] => [7,2,6,3,1,5,4] => 010111
[5,3,1,6,4,2,7] => [3,5,4,6,2,1,7] => [6,4,2,5,3,1,7] => 011110
[5,3,1,6,4,7,2] => [3,5,7,6,2,4,1] => [6,2,7,4,5,3,1] => 010111
[5,3,1,6,7,2,4] => [3,5,7,1,2,6,4] => [6,7,1,5,3,2,4] => 010101
[5,3,1,6,7,4,2] => [3,5,4,7,2,6,1] => [6,7,4,2,5,3,1] => 011101
[5,3,1,7,2,4,6] => [3,5,7,1,2,4,6] => [7,1,5,3,2,4,6] => 010101
[5,3,1,7,2,6,4] => [3,5,7,6,2,1,4] => [6,2,7,3,1,5,4] => 010111
[5,3,1,7,4,2,6] => [3,5,4,7,2,1,6] => [7,4,2,5,3,1,6] => 011101
[5,3,1,7,4,6,2] => [3,5,6,7,2,4,1] => [7,2,6,4,5,3,1] => 010111
[5,3,1,7,6,2,4] => [3,5,6,1,2,7,4] => [7,6,1,5,3,2,4] => 010111
[5,3,1,7,6,4,2] => [3,5,4,6,2,7,1] => [7,6,4,2,5,3,1] => 011111
[5,3,2,1,4,6,7] => [2,3,5,1,4,6,7] => [5,3,2,1,4,6,7] => 110100
[5,3,2,1,4,7,6] => [2,3,5,1,4,7,6] => [5,3,2,1,4,7,6] => 110101
[5,3,2,1,6,4,7] => [2,3,5,6,1,4,7] => [6,3,2,1,5,4,7] => 110110
[5,3,2,1,6,7,4] => [2,3,5,7,1,6,4] => [6,7,3,2,1,5,4] => 110101
[5,3,2,1,7,4,6] => [2,3,5,7,1,4,6] => [7,3,2,1,5,4,6] => 110101
[5,3,2,1,7,6,4] => [2,3,5,6,1,7,4] => [7,6,3,2,1,5,4] => 110111
[5,3,2,4,1,6,7] => [4,3,5,2,1,6,7] => [5,3,2,4,1,6,7] => 011100
[5,3,2,4,1,7,6] => [4,3,5,2,1,7,6] => [5,3,2,4,1,7,6] => 011101
[5,3,2,4,6,1,7] => [6,3,5,2,4,1,7] => [5,3,2,4,6,1,7] => 010110
[5,3,2,4,6,7,1] => [7,3,5,2,4,6,1] => [5,3,2,4,6,7,1] => 010101
[5,3,2,4,7,1,6] => [7,3,5,2,4,1,6] => [5,3,2,4,7,1,6] => 010101
[5,3,2,4,7,6,1] => [6,3,5,2,4,7,1] => [5,3,2,4,7,6,1] => 010111
[5,3,2,6,1,4,7] => [6,3,5,1,2,4,7] => [5,3,1,6,2,4,7] => 010110
[5,3,2,6,1,7,4] => [6,3,5,7,2,1,4] => [7,3,2,5,1,6,4] => 010111
[5,3,2,6,4,1,7] => [4,3,6,5,1,2,7] => [5,3,1,6,4,2,7] => 011110
[5,3,2,6,4,7,1] => [7,3,5,6,2,4,1] => [6,3,2,5,4,7,1] => 010111
[5,3,2,6,7,1,4] => [7,3,5,1,2,6,4] => [5,3,1,6,7,2,4] => 010101
[5,3,2,6,7,4,1] => [4,3,7,5,1,6,2] => [5,3,1,6,7,4,2] => 011101
[5,3,2,7,1,4,6] => [7,3,5,1,2,4,6] => [5,3,1,7,2,4,6] => 010101
[5,3,2,7,1,6,4] => [7,3,5,6,2,1,4] => [6,3,2,5,1,7,4] => 010111
[5,3,2,7,4,1,6] => [4,3,7,5,1,2,6] => [5,3,1,7,4,2,6] => 011101
[5,3,2,7,4,6,1] => [6,3,5,7,2,4,1] => [7,3,2,5,4,6,1] => 010111
[5,3,2,7,6,1,4] => [6,3,5,1,2,7,4] => [5,3,1,7,6,2,4] => 010111
[5,3,2,7,6,4,1] => [4,3,6,5,1,7,2] => [5,3,1,7,6,4,2] => 011111
[5,3,4,1,2,6,7] => [4,1,5,3,2,6,7] => [5,3,4,1,2,6,7] => 001100
[5,3,4,1,2,7,6] => [4,1,5,3,2,7,6] => [5,3,4,1,2,7,6] => 001101
[5,3,4,1,6,2,7] => [4,6,5,3,1,2,7] => [5,3,6,1,4,2,7] => 001110
[5,3,4,1,6,7,2] => [4,7,5,3,1,6,2] => [5,3,6,7,1,4,2] => 001101
[5,3,4,1,7,2,6] => [4,7,5,3,1,2,6] => [5,3,7,1,4,2,6] => 001101
[5,3,4,1,7,6,2] => [4,6,5,3,1,7,2] => [5,3,7,6,1,4,2] => 001111
[5,3,4,2,1,6,7] => [2,4,5,3,1,6,7] => [5,3,4,2,1,6,7] => 101100
[5,3,4,2,1,7,6] => [2,4,5,3,1,7,6] => [5,3,4,2,1,7,6] => 101101
[5,3,4,2,6,1,7] => [6,4,5,3,2,1,7] => [5,3,4,2,6,1,7] => 001110
[5,3,4,2,6,7,1] => [7,4,5,3,2,6,1] => [5,3,4,2,6,7,1] => 001101
[5,3,4,2,7,1,6] => [7,4,5,3,2,1,6] => [5,3,4,2,7,1,6] => 001101
[5,3,4,2,7,6,1] => [6,4,5,3,2,7,1] => [5,3,4,2,7,6,1] => 001111
[5,3,4,6,1,2,7] => [6,1,5,3,4,2,7] => [5,3,4,6,1,2,7] => 000110
[5,3,4,6,1,7,2] => [6,7,5,3,4,1,2] => [5,3,4,7,1,6,2] => 000111
[5,3,4,6,2,1,7] => [2,6,5,3,4,1,7] => [5,3,4,6,2,1,7] => 100110
[5,3,4,6,2,7,1] => [7,6,5,3,4,2,1] => [5,3,4,6,2,7,1] => 000111
[5,3,4,6,7,1,2] => [7,1,5,3,4,6,2] => [5,3,4,6,7,1,2] => 000101
[5,3,4,6,7,2,1] => [2,7,5,3,4,6,1] => [5,3,4,6,7,2,1] => 100101
[5,3,4,7,1,2,6] => [7,1,5,3,4,2,6] => [5,3,4,7,1,2,6] => 000101
[5,3,4,7,1,6,2] => [7,6,5,3,4,1,2] => [5,3,4,6,1,7,2] => 000111
[5,3,4,7,2,1,6] => [2,7,5,3,4,1,6] => [5,3,4,7,2,1,6] => 100101
[5,3,4,7,2,6,1] => [6,7,5,3,4,2,1] => [5,3,4,7,2,6,1] => 000111
[5,3,4,7,6,1,2] => [6,1,5,3,4,7,2] => [5,3,4,7,6,1,2] => 000111
[5,3,4,7,6,2,1] => [2,6,5,3,4,7,1] => [5,3,4,7,6,2,1] => 100111
[5,3,6,1,2,4,7] => [6,1,5,2,3,4,7] => [5,1,2,6,3,4,7] => 000110
[5,3,6,1,2,7,4] => [6,1,5,7,3,2,4] => [7,3,5,1,2,6,4] => 000111
[5,3,6,1,4,2,7] => [6,4,5,1,3,2,7] => [5,1,4,3,6,2,7] => 001110
[5,3,6,1,4,7,2] => [6,7,5,1,3,4,2] => [5,1,7,3,4,6,2] => 000111
[5,3,6,1,7,2,4] => [6,7,5,2,3,1,4] => [5,2,7,3,6,1,4] => 000111
[5,3,6,1,7,4,2] => [6,4,7,5,2,1,3] => [5,2,7,4,1,6,3] => 001111
[5,3,6,2,1,4,7] => [2,6,5,1,3,4,7] => [5,2,1,6,3,4,7] => 100110
[5,3,6,2,1,7,4] => [2,6,5,7,3,1,4] => [7,3,5,2,1,6,4] => 100111
[5,3,6,2,4,1,7] => [4,6,5,2,3,1,7] => [5,2,6,3,4,1,7] => 001110
[5,3,6,2,4,7,1] => [7,6,5,2,3,4,1] => [5,2,6,3,4,7,1] => 000111
[5,3,6,2,7,1,4] => [7,6,5,1,3,2,4] => [5,1,6,3,7,2,4] => 000111
[5,3,6,2,7,4,1] => [4,7,6,5,1,3,2] => [5,1,6,3,7,4,2] => 001111
[5,3,6,4,1,2,7] => [4,1,6,5,2,3,7] => [5,1,2,6,4,3,7] => 001110
[5,3,6,4,1,7,2] => [4,6,7,5,1,2,3] => [5,1,7,2,6,4,3] => 001111
[5,3,6,4,2,1,7] => [2,4,6,5,1,3,7] => [5,2,1,6,4,3,7] => 101110
[5,3,6,4,2,7,1] => [7,4,6,5,2,3,1] => [5,2,6,4,3,7,1] => 001111
[5,3,6,4,7,1,2] => [7,1,5,6,3,4,2] => [6,3,5,4,7,1,2] => 000111
[5,3,6,4,7,2,1] => [2,7,5,6,3,4,1] => [6,3,5,4,7,2,1] => 100111
[5,3,6,7,1,2,4] => [7,1,5,2,3,6,4] => [5,1,2,6,7,3,4] => 000101
[5,3,6,7,1,4,2] => [7,4,5,1,3,6,2] => [5,1,4,3,6,7,2] => 001101
[5,3,6,7,2,1,4] => [2,7,5,1,3,6,4] => [5,2,1,6,7,3,4] => 100101
[5,3,6,7,2,4,1] => [4,7,5,2,3,6,1] => [5,2,6,7,3,4,1] => 001101
[5,3,6,7,4,1,2] => [4,1,7,5,2,6,3] => [5,1,2,6,7,4,3] => 001101
[5,3,6,7,4,2,1] => [2,4,7,5,1,6,3] => [5,2,1,6,7,4,3] => 101101
[5,3,7,1,2,4,6] => [7,1,5,2,3,4,6] => [5,1,2,7,3,4,6] => 000101
[5,3,7,1,2,6,4] => [7,1,5,6,3,2,4] => [6,3,5,1,2,7,4] => 000111
[5,3,7,1,4,2,6] => [7,4,5,1,3,2,6] => [5,1,4,3,7,2,6] => 001101
[5,3,7,1,4,6,2] => [7,6,5,1,3,4,2] => [5,1,6,3,4,7,2] => 000111
[5,3,7,1,6,2,4] => [7,6,5,2,3,1,4] => [5,2,6,3,7,1,4] => 000111
[5,3,7,1,6,4,2] => [7,4,6,5,2,1,3] => [5,2,6,4,1,7,3] => 001111
[5,3,7,2,1,4,6] => [2,7,5,1,3,4,6] => [5,2,1,7,3,4,6] => 100101
[5,3,7,2,1,6,4] => [2,7,5,6,3,1,4] => [6,3,5,2,1,7,4] => 100111
[5,3,7,2,4,1,6] => [4,7,5,2,3,1,6] => [5,2,7,3,4,1,6] => 001101
[5,3,7,2,4,6,1] => [6,7,5,2,3,4,1] => [5,2,7,3,4,6,1] => 000111
[5,3,7,2,6,1,4] => [6,7,5,1,3,2,4] => [5,1,7,3,6,2,4] => 000111
[5,3,7,2,6,4,1] => [4,6,7,5,1,3,2] => [5,1,7,3,6,4,2] => 001111
[5,3,7,4,1,2,6] => [4,1,7,5,2,3,6] => [5,1,2,7,4,3,6] => 001101
[5,3,7,4,1,6,2] => [4,7,6,5,1,2,3] => [5,1,6,2,7,4,3] => 001111
[5,3,7,4,2,1,6] => [2,4,7,5,1,3,6] => [5,2,1,7,4,3,6] => 101101
[5,3,7,4,2,6,1] => [6,4,7,5,2,3,1] => [5,2,7,4,3,6,1] => 001111
[5,3,7,4,6,1,2] => [6,1,5,7,3,4,2] => [7,3,5,4,6,1,2] => 000111
[5,3,7,4,6,2,1] => [2,6,5,7,3,4,1] => [7,3,5,4,6,2,1] => 100111
[5,3,7,6,1,2,4] => [6,1,5,2,3,7,4] => [5,1,2,7,6,3,4] => 000111
[5,3,7,6,1,4,2] => [6,4,5,1,3,7,2] => [5,1,4,3,7,6,2] => 001111
[5,3,7,6,2,1,4] => [2,6,5,1,3,7,4] => [5,2,1,7,6,3,4] => 100111
[5,3,7,6,2,4,1] => [4,6,5,2,3,7,1] => [5,2,7,6,3,4,1] => 001111
[5,3,7,6,4,1,2] => [4,1,6,5,2,7,3] => [5,1,2,7,6,4,3] => 001111
[5,3,7,6,4,2,1] => [2,4,6,5,1,7,3] => [5,2,1,7,6,4,3] => 101111
[5,4,1,2,3,6,7] => [4,1,2,5,3,6,7] => [5,4,1,2,3,6,7] => 001100
[5,4,1,2,3,7,6] => [4,1,2,5,3,7,6] => [5,4,1,2,3,7,6] => 001101
[5,4,1,2,6,3,7] => [4,1,5,6,3,2,7] => [6,3,5,4,1,2,7] => 001110
[5,4,1,2,6,7,3] => [4,1,5,7,3,6,2] => [6,7,3,5,4,1,2] => 001101
[5,4,1,2,7,3,6] => [4,1,5,7,3,2,6] => [7,3,5,4,1,2,6] => 001101
[5,4,1,2,7,6,3] => [4,1,5,6,3,7,2] => [7,6,3,5,4,1,2] => 001111
[5,4,1,3,2,6,7] => [4,3,1,5,2,6,7] => [3,1,5,4,2,6,7] => 011100
[5,4,1,3,2,7,6] => [4,3,1,5,2,7,6] => [3,1,5,4,2,7,6] => 011101
[5,4,1,3,6,2,7] => [4,5,2,6,3,1,7] => [6,2,3,5,4,1,7] => 001110
[5,4,1,3,6,7,2] => [4,5,2,7,3,6,1] => [6,7,2,3,5,4,1] => 001101
[5,4,1,3,7,2,6] => [4,5,2,7,3,1,6] => [7,2,3,5,4,1,6] => 001101
[5,4,1,3,7,6,2] => [4,5,2,6,3,7,1] => [7,6,2,3,5,4,1] => 001111
[5,4,1,6,2,3,7] => [4,5,1,6,2,3,7] => [6,1,5,4,2,3,7] => 001110
[5,4,1,6,2,7,3] => [4,5,6,7,2,3,1] => [7,2,6,3,5,4,1] => 001111
[5,4,1,6,3,2,7] => [4,3,5,6,2,1,7] => [6,3,2,5,4,1,7] => 011110
[5,4,1,6,3,7,2] => [4,5,7,6,2,1,3] => [6,2,7,1,5,4,3] => 001111
[5,4,1,6,7,2,3] => [4,5,1,7,2,6,3] => [6,7,1,5,4,2,3] => 001101
[5,4,1,6,7,3,2] => [4,3,5,7,2,6,1] => [6,7,3,2,5,4,1] => 011101
[5,4,1,7,2,3,6] => [4,5,1,7,2,3,6] => [7,1,5,4,2,3,6] => 001101
[5,4,1,7,2,6,3] => [4,5,7,6,2,3,1] => [6,2,7,3,5,4,1] => 001111
[5,4,1,7,3,2,6] => [4,3,5,7,2,1,6] => [7,3,2,5,4,1,6] => 011101
[5,4,1,7,3,6,2] => [4,5,6,7,2,1,3] => [7,2,6,1,5,4,3] => 001111
[5,4,1,7,6,2,3] => [4,5,1,6,2,7,3] => [7,6,1,5,4,2,3] => 001111
[5,4,1,7,6,3,2] => [4,3,5,6,2,7,1] => [7,6,3,2,5,4,1] => 011111
[5,4,2,1,3,6,7] => [2,4,1,5,3,6,7] => [5,4,2,1,3,6,7] => 101100
[5,4,2,1,3,7,6] => [2,4,1,5,3,7,6] => [5,4,2,1,3,7,6] => 101101
[5,4,2,1,6,3,7] => [2,4,5,6,3,1,7] => [6,3,5,4,2,1,7] => 101110
[5,4,2,1,6,7,3] => [2,4,5,7,3,6,1] => [6,7,3,5,4,2,1] => 101101
[5,4,2,1,7,3,6] => [2,4,5,7,3,1,6] => [7,3,5,4,2,1,6] => 101101
[5,4,2,1,7,6,3] => [2,4,5,6,3,7,1] => [7,6,3,5,4,2,1] => 101111
[5,4,2,3,1,6,7] => [3,4,2,5,1,6,7] => [5,4,2,3,1,6,7] => 011100
[5,4,2,3,1,7,6] => [3,4,2,5,1,7,6] => [5,4,2,3,1,7,6] => 011101
[5,4,2,3,6,1,7] => [6,4,2,5,3,1,7] => [5,4,2,3,6,1,7] => 001110
[5,4,2,3,6,7,1] => [7,4,2,5,3,6,1] => [5,4,2,3,6,7,1] => 001101
[5,4,2,3,7,1,6] => [7,4,2,5,3,1,6] => [5,4,2,3,7,1,6] => 001101
[5,4,2,3,7,6,1] => [6,4,2,5,3,7,1] => [5,4,2,3,7,6,1] => 001111
[5,4,2,6,1,3,7] => [6,4,1,5,2,3,7] => [5,4,1,6,2,3,7] => 001110
[5,4,2,6,1,7,3] => [6,4,5,7,3,1,2] => [7,3,5,4,1,6,2] => 001111
[5,4,2,6,3,1,7] => [3,6,4,5,1,2,7] => [5,4,1,6,3,2,7] => 011110
[5,4,2,6,3,7,1] => [7,4,5,6,3,2,1] => [6,3,5,4,2,7,1] => 001111
[5,4,2,6,7,1,3] => [7,4,1,5,2,6,3] => [5,4,1,6,7,2,3] => 001101
[5,4,2,6,7,3,1] => [3,7,4,5,1,6,2] => [5,4,1,6,7,3,2] => 011101
[5,4,2,7,1,3,6] => [7,4,1,5,2,3,6] => [5,4,1,7,2,3,6] => 001101
[5,4,2,7,1,6,3] => [7,4,5,6,3,1,2] => [6,3,5,4,1,7,2] => 001111
[5,4,2,7,3,1,6] => [3,7,4,5,1,2,6] => [5,4,1,7,3,2,6] => 011101
[5,4,2,7,3,6,1] => [6,4,5,7,3,2,1] => [7,3,5,4,2,6,1] => 001111
[5,4,2,7,6,1,3] => [6,4,1,5,2,7,3] => [5,4,1,7,6,2,3] => 001111
[5,4,2,7,6,3,1] => [3,6,4,5,1,7,2] => [5,4,1,7,6,3,2] => 011111
[5,4,3,1,2,6,7] => [3,1,4,5,2,6,7] => [5,4,3,1,2,6,7] => 011100
[5,4,3,1,2,7,6] => [3,1,4,5,2,7,6] => [5,4,3,1,2,7,6] => 011101
[5,4,3,1,6,2,7] => [3,4,5,6,1,2,7] => [6,1,5,4,3,2,7] => 011110
[5,4,3,1,6,7,2] => [3,4,5,7,1,6,2] => [6,7,1,5,4,3,2] => 011101
[5,4,3,1,7,2,6] => [3,4,5,7,1,2,6] => [7,1,5,4,3,2,6] => 011101
[5,4,3,1,7,6,2] => [3,4,5,6,1,7,2] => [7,6,1,5,4,3,2] => 011111
[5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => [5,4,3,2,1,6,7] => 111100
[5,4,3,2,1,7,6] => [2,3,4,5,1,7,6] => [5,4,3,2,1,7,6] => 111101
[5,4,3,2,6,1,7] => [6,3,4,5,2,1,7] => [5,4,3,2,6,1,7] => 011110
[5,4,3,2,6,7,1] => [7,3,4,5,2,6,1] => [5,4,3,2,6,7,1] => 011101
[5,4,3,2,7,1,6] => [7,3,4,5,2,1,6] => [5,4,3,2,7,1,6] => 011101
[5,4,3,2,7,6,1] => [6,3,4,5,2,7,1] => [5,4,3,2,7,6,1] => 011111
[5,4,3,6,1,2,7] => [6,1,4,5,3,2,7] => [5,4,3,6,1,2,7] => 001110
[5,4,3,6,1,7,2] => [6,7,4,5,3,1,2] => [5,4,3,7,1,6,2] => 001111
[5,4,3,6,2,1,7] => [2,6,4,5,3,1,7] => [5,4,3,6,2,1,7] => 101110
[5,4,3,6,2,7,1] => [7,6,4,5,3,2,1] => [5,4,3,6,2,7,1] => 001111
[5,4,3,6,7,1,2] => [7,1,4,5,3,6,2] => [5,4,3,6,7,1,2] => 001101
[5,4,3,6,7,2,1] => [2,7,4,5,3,6,1] => [5,4,3,6,7,2,1] => 101101
[5,4,3,7,1,2,6] => [7,1,4,5,3,2,6] => [5,4,3,7,1,2,6] => 001101
[5,4,3,7,1,6,2] => [7,6,4,5,3,1,2] => [5,4,3,6,1,7,2] => 001111
[5,4,3,7,2,1,6] => [2,7,4,5,3,1,6] => [5,4,3,7,2,1,6] => 101101
[5,4,3,7,2,6,1] => [6,7,4,5,3,2,1] => [5,4,3,7,2,6,1] => 001111
[5,4,3,7,6,1,2] => [6,1,4,5,3,7,2] => [5,4,3,7,6,1,2] => 001111
[5,4,3,7,6,2,1] => [2,6,4,5,3,7,1] => [5,4,3,7,6,2,1] => 101111
[5,4,6,1,2,3,7] => [6,1,2,5,4,3,7] => [5,4,6,1,2,3,7] => 000110
[5,4,6,1,2,7,3] => [6,1,7,5,4,2,3] => [5,4,7,1,2,6,3] => 000111
[5,4,6,1,3,2,7] => [6,3,1,5,4,2,7] => [3,1,5,4,6,2,7] => 010110
[5,4,6,1,3,7,2] => [6,7,1,5,4,3,2] => [5,4,7,1,3,6,2] => 000111
[5,4,6,1,7,2,3] => [6,7,2,5,4,1,3] => [5,4,7,2,6,1,3] => 000111
[5,4,6,1,7,3,2] => [6,3,7,5,4,1,2] => [5,4,7,3,1,6,2] => 010111
[5,4,6,2,1,3,7] => [2,6,1,5,4,3,7] => [5,4,6,2,1,3,7] => 100110
[5,4,6,2,1,7,3] => [2,6,7,5,4,1,3] => [5,4,7,2,1,6,3] => 100111
[5,4,6,2,3,1,7] => [3,6,2,5,4,1,7] => [5,4,6,2,3,1,7] => 010110
[5,4,6,2,3,7,1] => [7,6,2,5,4,3,1] => [5,4,6,2,3,7,1] => 000111
[5,4,6,2,7,1,3] => [7,6,1,5,4,2,3] => [5,4,6,1,7,2,3] => 000111
[5,4,6,2,7,3,1] => [3,7,6,5,4,1,2] => [5,4,6,1,7,3,2] => 010111
[5,4,6,3,1,2,7] => [3,1,6,5,4,2,7] => [5,4,6,3,1,2,7] => 010110
[5,4,6,3,1,7,2] => [3,6,7,5,4,2,1] => [5,4,7,2,6,3,1] => 010111
[5,4,6,3,2,1,7] => [2,3,6,5,4,1,7] => [5,4,6,3,2,1,7] => 110110
[5,4,6,3,2,7,1] => [7,3,6,5,4,2,1] => [5,4,6,3,2,7,1] => 010111
[5,4,6,3,7,1,2] => [7,1,6,5,4,3,2] => [5,4,6,3,7,1,2] => 000111
[5,4,6,3,7,2,1] => [2,7,6,5,4,3,1] => [5,4,6,3,7,2,1] => 100111
[5,4,6,7,1,2,3] => [7,1,2,5,4,6,3] => [5,4,6,7,1,2,3] => 000101
[5,4,6,7,1,3,2] => [7,3,1,5,4,6,2] => [3,1,5,4,6,7,2] => 010101
[5,4,6,7,2,1,3] => [2,7,1,5,4,6,3] => [5,4,6,7,2,1,3] => 100101
[5,4,6,7,2,3,1] => [3,7,2,5,4,6,1] => [5,4,6,7,2,3,1] => 010101
[5,4,6,7,3,1,2] => [3,1,7,5,4,6,2] => [5,4,6,7,3,1,2] => 010101
[5,4,6,7,3,2,1] => [2,3,7,5,4,6,1] => [5,4,6,7,3,2,1] => 110101
[5,4,7,1,2,3,6] => [7,1,2,5,4,3,6] => [5,4,7,1,2,3,6] => 000101
[5,4,7,1,2,6,3] => [7,1,6,5,4,2,3] => [5,4,6,1,2,7,3] => 000111
[5,4,7,1,3,2,6] => [7,3,1,5,4,2,6] => [3,1,5,4,7,2,6] => 010101
[5,4,7,1,3,6,2] => [7,6,1,5,4,3,2] => [5,4,6,1,3,7,2] => 000111
[5,4,7,1,6,2,3] => [7,6,2,5,4,1,3] => [5,4,6,2,7,1,3] => 000111
[5,4,7,1,6,3,2] => [7,3,6,5,4,1,2] => [5,4,6,3,1,7,2] => 010111
[5,4,7,2,1,3,6] => [2,7,1,5,4,3,6] => [5,4,7,2,1,3,6] => 100101
[5,4,7,2,1,6,3] => [2,7,6,5,4,1,3] => [5,4,6,2,1,7,3] => 100111
[5,4,7,2,3,1,6] => [3,7,2,5,4,1,6] => [5,4,7,2,3,1,6] => 010101
[5,4,7,2,3,6,1] => [6,7,2,5,4,3,1] => [5,4,7,2,3,6,1] => 000111
[5,4,7,2,6,1,3] => [6,7,1,5,4,2,3] => [5,4,7,1,6,2,3] => 000111
[5,4,7,2,6,3,1] => [3,6,7,5,4,1,2] => [5,4,7,1,6,3,2] => 010111
[5,4,7,3,1,2,6] => [3,1,7,5,4,2,6] => [5,4,7,3,1,2,6] => 010101
[5,4,7,3,1,6,2] => [3,7,6,5,4,2,1] => [5,4,6,2,7,3,1] => 010111
[5,4,7,3,2,1,6] => [2,3,7,5,4,1,6] => [5,4,7,3,2,1,6] => 110101
[5,4,7,3,2,6,1] => [6,3,7,5,4,2,1] => [5,4,7,3,2,6,1] => 010111
[5,4,7,3,6,1,2] => [6,1,7,5,4,3,2] => [5,4,7,3,6,1,2] => 000111
[5,4,7,3,6,2,1] => [2,6,7,5,4,3,1] => [5,4,7,3,6,2,1] => 100111
[5,4,7,6,1,2,3] => [6,1,2,5,4,7,3] => [5,4,7,6,1,2,3] => 000111
[5,4,7,6,1,3,2] => [6,3,1,5,4,7,2] => [3,1,5,4,7,6,2] => 010111
[5,4,7,6,2,1,3] => [2,6,1,5,4,7,3] => [5,4,7,6,2,1,3] => 100111
[5,4,7,6,2,3,1] => [3,6,2,5,4,7,1] => [5,4,7,6,2,3,1] => 010111
[5,4,7,6,3,1,2] => [3,1,6,5,4,7,2] => [5,4,7,6,3,1,2] => 010111
[5,4,7,6,3,2,1] => [2,3,6,5,4,7,1] => [5,4,7,6,3,2,1] => 110111
[5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => [5,6,1,2,3,4,7] => 000010
[5,6,1,2,3,7,4] => [6,1,2,7,5,3,4] => [5,7,1,2,3,6,4] => 000011
[5,6,1,2,4,3,7] => [6,1,4,2,5,3,7] => [4,1,2,5,6,3,7] => 001010
[5,6,1,2,4,7,3] => [6,1,7,2,5,4,3] => [5,7,1,2,4,6,3] => 000011
[5,6,1,2,7,3,4] => [6,1,7,3,5,2,4] => [5,7,3,6,1,2,4] => 000011
[5,6,1,2,7,4,3] => [6,1,4,7,5,2,3] => [5,7,4,1,2,6,3] => 001011
[5,6,1,3,2,4,7] => [6,3,1,2,5,4,7] => [3,1,5,6,2,4,7] => 010010
[5,6,1,3,2,7,4] => [6,3,1,7,5,2,4] => [3,1,5,7,2,6,4] => 010011
[5,6,1,3,4,2,7] => [6,4,1,3,5,2,7] => [4,1,3,5,6,2,7] => 001010
[5,6,1,3,4,7,2] => [6,7,1,3,5,4,2] => [5,7,1,3,4,6,2] => 000011
[5,6,1,3,7,2,4] => [6,7,1,2,5,3,4] => [5,7,1,6,2,3,4] => 000011
[5,6,1,3,7,4,2] => [6,4,1,7,5,3,2] => [5,7,4,1,3,6,2] => 001011
[5,6,1,4,2,3,7] => [6,4,2,1,5,3,7] => [4,2,5,6,1,3,7] => 001010
[5,6,1,4,2,7,3] => [6,4,7,1,5,2,3] => [5,7,1,4,2,6,3] => 001011
[5,6,1,4,3,2,7] => [6,3,4,1,5,2,7] => [4,3,1,5,6,2,7] => 011010
[5,6,1,4,3,7,2] => [6,7,4,1,5,3,2] => [4,1,5,7,3,6,2] => 001011
[5,6,1,4,7,2,3] => [6,7,2,1,5,4,3] => [5,7,2,4,6,1,3] => 000011
[5,6,1,4,7,3,2] => [6,3,7,1,5,4,2] => [5,7,3,1,4,6,2] => 010011
[5,6,1,7,2,3,4] => [6,7,2,3,5,1,4] => [5,7,2,3,6,1,4] => 000011
[5,6,1,7,2,4,3] => [6,7,4,2,5,1,3] => [4,2,5,7,1,6,3] => 001011
[5,6,1,7,3,2,4] => [6,3,7,2,5,1,4] => [5,7,3,2,6,1,4] => 010011
[5,6,1,7,3,4,2] => [6,4,7,3,5,1,2] => [5,7,3,4,1,6,2] => 001011
[5,6,1,7,4,2,3] => [6,4,2,7,5,1,3] => [5,7,4,2,6,1,3] => 001011
[5,6,1,7,4,3,2] => [6,3,4,7,5,1,2] => [5,7,4,3,1,6,2] => 011011
[5,6,2,1,3,4,7] => [2,6,1,3,5,4,7] => [5,6,2,1,3,4,7] => 100010
[5,6,2,1,3,7,4] => [2,6,1,7,5,3,4] => [5,7,2,1,3,6,4] => 100011
[5,6,2,1,4,3,7] => [2,6,4,1,5,3,7] => [4,2,1,5,6,3,7] => 101010
[5,6,2,1,4,7,3] => [2,6,7,1,5,4,3] => [5,7,2,1,4,6,3] => 100011
[5,6,2,1,7,3,4] => [2,6,7,3,5,1,4] => [5,7,3,6,2,1,4] => 100011
[5,6,2,1,7,4,3] => [2,6,4,7,5,1,3] => [5,7,4,2,1,6,3] => 101011
[5,6,2,3,1,4,7] => [3,6,2,1,5,4,7] => [5,6,2,3,1,4,7] => 010010
[5,6,2,3,1,7,4] => [3,6,2,7,5,1,4] => [5,7,2,3,1,6,4] => 010011
[5,6,2,3,4,1,7] => [4,6,2,3,5,1,7] => [5,6,2,3,4,1,7] => 001010
[5,6,2,3,4,7,1] => [7,6,2,3,5,4,1] => [5,6,2,3,4,7,1] => 000011
[5,6,2,3,7,1,4] => [7,6,2,1,5,3,4] => [5,6,2,7,1,3,4] => 000011
[5,6,2,3,7,4,1] => [4,7,1,6,5,3,2] => [5,6,1,3,7,4,2] => 001011
[5,6,2,4,1,3,7] => [4,6,1,2,5,3,7] => [5,6,1,4,2,3,7] => 001010
[5,6,2,4,1,7,3] => [4,6,7,2,5,1,3] => [5,7,2,6,1,4,3] => 001011
[5,6,2,4,3,1,7] => [3,4,6,1,5,2,7] => [5,6,1,4,3,2,7] => 011010
[5,6,2,4,3,7,1] => [7,6,4,2,5,3,1] => [4,2,5,6,3,7,1] => 001011
[5,6,2,4,7,1,3] => [7,6,1,2,5,4,3] => [5,6,1,4,7,2,3] => 000011
[5,6,2,4,7,3,1] => [3,7,6,1,5,4,2] => [5,6,1,4,7,3,2] => 010011
[5,6,2,7,1,3,4] => [7,6,1,3,5,2,4] => [5,6,1,3,7,2,4] => 000011
[5,6,2,7,1,4,3] => [7,6,4,1,5,2,3] => [4,1,5,6,2,7,3] => 001011
[5,6,2,7,3,1,4] => [3,7,6,2,5,1,4] => [5,6,2,7,3,1,4] => 010011
[5,6,2,7,3,4,1] => [4,6,7,3,5,2,1] => [5,7,3,6,2,4,1] => 001011
[5,6,2,7,4,1,3] => [4,7,2,6,5,1,3] => [5,6,2,7,4,1,3] => 001011
[5,6,2,7,4,3,1] => [3,4,7,6,5,2,1] => [5,6,2,7,4,3,1] => 011011
[5,6,3,1,2,4,7] => [3,1,6,2,5,4,7] => [5,6,3,1,2,4,7] => 010010
[5,6,3,1,2,7,4] => [3,1,6,7,5,2,4] => [5,7,3,1,2,6,4] => 010011
[5,6,3,1,4,2,7] => [3,6,4,2,5,1,7] => [4,2,5,6,3,1,7] => 011010
[5,6,3,1,4,7,2] => [3,6,7,2,5,4,1] => [5,7,2,4,6,3,1] => 010011
[5,6,3,1,7,2,4] => [3,6,7,1,5,2,4] => [5,7,1,6,3,2,4] => 010011
[5,6,3,1,7,4,2] => [3,6,4,7,5,2,1] => [5,7,4,2,6,3,1] => 011011
[5,6,3,2,1,4,7] => [2,3,6,1,5,4,7] => [5,6,3,2,1,4,7] => 110010
[5,6,3,2,1,7,4] => [2,3,6,7,5,1,4] => [5,7,3,2,1,6,4] => 110011
[5,6,3,2,4,1,7] => [4,3,6,2,5,1,7] => [5,6,3,2,4,1,7] => 011010
[5,6,3,2,4,7,1] => [7,3,6,2,5,4,1] => [5,6,3,2,4,7,1] => 010011
[5,6,3,2,7,1,4] => [7,3,6,1,5,2,4] => [5,6,3,1,7,2,4] => 010011
[5,6,3,2,7,4,1] => [4,3,7,6,5,1,2] => [5,6,3,1,7,4,2] => 011011
[5,6,3,4,1,2,7] => [4,1,6,3,5,2,7] => [5,6,3,4,1,2,7] => 001010
[5,6,3,4,1,7,2] => [4,7,6,3,5,1,2] => [5,6,3,7,1,4,2] => 001011
[5,6,3,4,2,1,7] => [2,4,6,3,5,1,7] => [5,6,3,4,2,1,7] => 101010
[5,6,3,4,2,7,1] => [7,4,6,3,5,2,1] => [5,6,3,4,2,7,1] => 001011
[5,6,3,4,7,1,2] => [7,1,6,3,5,4,2] => [5,6,3,4,7,1,2] => 000011
[5,6,3,4,7,2,1] => [2,7,6,3,5,4,1] => [5,6,3,4,7,2,1] => 100011
[5,6,3,7,1,2,4] => [7,1,6,2,5,3,4] => [5,6,1,2,7,3,4] => 000011
[5,6,3,7,1,4,2] => [7,4,6,1,5,3,2] => [5,6,1,4,3,7,2] => 001011
[5,6,3,7,2,1,4] => [2,7,6,1,5,3,4] => [5,6,2,1,7,3,4] => 100011
[5,6,3,7,2,4,1] => [4,7,6,2,5,3,1] => [5,6,2,7,3,4,1] => 001011
[5,6,3,7,4,1,2] => [4,1,7,6,5,2,3] => [5,6,1,2,7,4,3] => 001011
[5,6,3,7,4,2,1] => [2,4,7,6,5,1,3] => [5,6,2,1,7,4,3] => 101011
[5,6,4,1,2,3,7] => [4,1,2,6,5,3,7] => [5,6,4,1,2,3,7] => 001010
[5,6,4,1,2,7,3] => [4,1,6,7,5,3,2] => [5,7,3,6,4,1,2] => 001011
[5,6,4,1,3,2,7] => [4,3,1,6,5,2,7] => [3,1,5,6,4,2,7] => 011010
[5,6,4,1,3,7,2] => [4,6,2,7,5,3,1] => [5,7,2,3,6,4,1] => 001011
[5,6,4,1,7,2,3] => [4,6,1,7,5,2,3] => [5,7,1,6,4,2,3] => 001011
[5,6,4,1,7,3,2] => [4,3,6,7,5,2,1] => [5,7,3,2,6,4,1] => 011011
[5,6,4,2,1,3,7] => [2,4,1,6,5,3,7] => [5,6,4,2,1,3,7] => 101010
[5,6,4,2,1,7,3] => [2,4,6,7,5,3,1] => [5,7,3,6,4,2,1] => 101011
[5,6,4,2,3,1,7] => [3,4,2,6,5,1,7] => [5,6,4,2,3,1,7] => 011010
[5,6,4,2,3,7,1] => [7,4,2,6,5,3,1] => [5,6,4,2,3,7,1] => 001011
[5,6,4,2,7,1,3] => [7,4,1,6,5,2,3] => [5,6,4,1,7,2,3] => 001011
[5,6,4,2,7,3,1] => [3,7,4,6,5,1,2] => [5,6,4,1,7,3,2] => 011011
[5,6,4,3,1,2,7] => [3,1,4,6,5,2,7] => [5,6,4,3,1,2,7] => 011010
[5,6,4,3,1,7,2] => [3,4,6,7,5,1,2] => [5,7,1,6,4,3,2] => 011011
[5,6,4,3,2,1,7] => [2,3,4,6,5,1,7] => [5,6,4,3,2,1,7] => 111010
[5,6,4,3,2,7,1] => [7,3,4,6,5,2,1] => [5,6,4,3,2,7,1] => 011011
[5,6,4,3,7,1,2] => [7,1,4,6,5,3,2] => [5,6,4,3,7,1,2] => 001011
[5,6,4,3,7,2,1] => [2,7,4,6,5,3,1] => [5,6,4,3,7,2,1] => 101011
[5,6,4,7,1,2,3] => [7,1,2,6,5,4,3] => [5,6,4,7,1,2,3] => 000011
[5,6,4,7,1,3,2] => [7,3,1,6,5,4,2] => [3,1,5,6,4,7,2] => 010011
[5,6,4,7,2,1,3] => [2,7,1,6,5,4,3] => [5,6,4,7,2,1,3] => 100011
[5,6,4,7,2,3,1] => [3,7,2,6,5,4,1] => [5,6,4,7,2,3,1] => 010011
[5,6,4,7,3,1,2] => [3,1,7,6,5,4,2] => [5,6,4,7,3,1,2] => 010011
[5,6,4,7,3,2,1] => [2,3,7,6,5,4,1] => [5,6,4,7,3,2,1] => 110011
[5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => [5,6,7,1,2,3,4] => 000001
[5,6,7,1,2,4,3] => [7,1,4,2,5,6,3] => [4,1,2,5,6,7,3] => 001001
[5,6,7,1,3,2,4] => [7,3,1,2,5,6,4] => [3,1,5,6,7,2,4] => 010001
[5,6,7,1,3,4,2] => [7,4,1,3,5,6,2] => [4,1,3,5,6,7,2] => 001001
[5,6,7,1,4,2,3] => [7,4,2,1,5,6,3] => [4,2,5,6,7,1,3] => 001001
[5,6,7,1,4,3,2] => [7,3,4,1,5,6,2] => [4,3,1,5,6,7,2] => 011001
[5,6,7,2,1,3,4] => [2,7,1,3,5,6,4] => [5,6,7,2,1,3,4] => 100001
[5,6,7,2,1,4,3] => [2,7,4,1,5,6,3] => [4,2,1,5,6,7,3] => 101001
[5,6,7,2,3,1,4] => [3,7,2,1,5,6,4] => [5,6,7,2,3,1,4] => 010001
[5,6,7,2,3,4,1] => [4,7,2,3,5,6,1] => [5,6,7,2,3,4,1] => 001001
[5,6,7,2,4,1,3] => [4,7,1,2,5,6,3] => [5,6,7,1,4,2,3] => 001001
[5,6,7,2,4,3,1] => [3,4,7,1,5,6,2] => [5,6,7,1,4,3,2] => 011001
[5,6,7,3,1,2,4] => [3,1,7,2,5,6,4] => [5,6,7,3,1,2,4] => 010001
[5,6,7,3,1,4,2] => [3,7,4,2,5,6,1] => [4,2,5,6,7,3,1] => 011001
[5,6,7,3,2,1,4] => [2,3,7,1,5,6,4] => [5,6,7,3,2,1,4] => 110001
[5,6,7,3,2,4,1] => [4,3,7,2,5,6,1] => [5,6,7,3,2,4,1] => 011001
[5,6,7,3,4,1,2] => [4,1,7,3,5,6,2] => [5,6,7,3,4,1,2] => 001001
[5,6,7,3,4,2,1] => [2,4,7,3,5,6,1] => [5,6,7,3,4,2,1] => 101001
[5,6,7,4,1,2,3] => [4,1,2,7,5,6,3] => [5,6,7,4,1,2,3] => 001001
[5,6,7,4,1,3,2] => [4,3,1,7,5,6,2] => [3,1,5,6,7,4,2] => 011001
[5,6,7,4,2,1,3] => [2,4,1,7,5,6,3] => [5,6,7,4,2,1,3] => 101001
[5,6,7,4,2,3,1] => [3,4,2,7,5,6,1] => [5,6,7,4,2,3,1] => 011001
[5,6,7,4,3,1,2] => [3,1,4,7,5,6,2] => [5,6,7,4,3,1,2] => 011001
[5,6,7,4,3,2,1] => [2,3,4,7,5,6,1] => [5,6,7,4,3,2,1] => 111001
[5,7,1,2,3,4,6] => [7,1,2,3,5,4,6] => [5,7,1,2,3,4,6] => 000001
[5,7,1,2,3,6,4] => [7,1,2,6,5,3,4] => [5,6,1,2,3,7,4] => 000011
[5,7,1,2,4,3,6] => [7,1,4,2,5,3,6] => [4,1,2,5,7,3,6] => 001001
[5,7,1,2,4,6,3] => [7,1,6,2,5,4,3] => [5,6,1,2,4,7,3] => 000011
[5,7,1,2,6,3,4] => [7,1,6,3,5,2,4] => [5,6,3,7,1,2,4] => 000011
[5,7,1,2,6,4,3] => [7,1,4,6,5,2,3] => [5,6,4,1,2,7,3] => 001011
[5,7,1,3,2,4,6] => [7,3,1,2,5,4,6] => [3,1,5,7,2,4,6] => 010001
[5,7,1,3,2,6,4] => [7,3,1,6,5,2,4] => [3,1,5,6,2,7,4] => 010011
[5,7,1,3,4,2,6] => [7,4,1,3,5,2,6] => [4,1,3,5,7,2,6] => 001001
[5,7,1,3,4,6,2] => [7,6,1,3,5,4,2] => [5,6,1,3,4,7,2] => 000011
[5,7,1,3,6,2,4] => [7,6,1,2,5,3,4] => [5,6,1,7,2,3,4] => 000011
[5,7,1,3,6,4,2] => [7,4,1,6,5,3,2] => [5,6,4,1,3,7,2] => 001011
[5,7,1,4,2,3,6] => [7,4,2,1,5,3,6] => [4,2,5,7,1,3,6] => 001001
[5,7,1,4,2,6,3] => [7,4,6,1,5,2,3] => [5,6,1,4,2,7,3] => 001011
[5,7,1,4,3,2,6] => [7,3,4,1,5,2,6] => [4,3,1,5,7,2,6] => 011001
[5,7,1,4,3,6,2] => [7,6,4,1,5,3,2] => [4,1,5,6,3,7,2] => 001011
[5,7,1,4,6,2,3] => [7,6,2,1,5,4,3] => [5,6,2,4,7,1,3] => 000011
[5,7,1,4,6,3,2] => [7,3,6,1,5,4,2] => [5,6,3,1,4,7,2] => 010011
[5,7,1,6,2,3,4] => [7,6,2,3,5,1,4] => [5,6,2,3,7,1,4] => 000011
[5,7,1,6,2,4,3] => [7,6,4,2,5,1,3] => [4,2,5,6,1,7,3] => 001011
[5,7,1,6,3,2,4] => [7,3,6,2,5,1,4] => [5,6,3,2,7,1,4] => 010011
[5,7,1,6,3,4,2] => [7,4,6,3,5,1,2] => [5,6,3,4,1,7,2] => 001011
[5,7,1,6,4,2,3] => [7,4,2,6,5,1,3] => [5,6,4,2,7,1,3] => 001011
[5,7,1,6,4,3,2] => [7,3,4,6,5,1,2] => [5,6,4,3,1,7,2] => 011011
[5,7,2,1,3,4,6] => [2,7,1,3,5,4,6] => [5,7,2,1,3,4,6] => 100001
[5,7,2,1,3,6,4] => [2,7,1,6,5,3,4] => [5,6,2,1,3,7,4] => 100011
[5,7,2,1,4,3,6] => [2,7,4,1,5,3,6] => [4,2,1,5,7,3,6] => 101001
[5,7,2,1,4,6,3] => [2,7,6,1,5,4,3] => [5,6,2,1,4,7,3] => 100011
[5,7,2,1,6,3,4] => [2,7,6,3,5,1,4] => [5,6,3,7,2,1,4] => 100011
[5,7,2,1,6,4,3] => [2,7,4,6,5,1,3] => [5,6,4,2,1,7,3] => 101011
[5,7,2,3,1,4,6] => [3,7,2,1,5,4,6] => [5,7,2,3,1,4,6] => 010001
[5,7,2,3,1,6,4] => [3,7,2,6,5,1,4] => [5,6,2,3,1,7,4] => 010011
[5,7,2,3,4,1,6] => [4,7,2,3,5,1,6] => [5,7,2,3,4,1,6] => 001001
[5,7,2,3,4,6,1] => [6,7,2,3,5,4,1] => [5,7,2,3,4,6,1] => 000011
[5,7,2,3,6,1,4] => [6,7,2,1,5,3,4] => [5,7,2,6,1,3,4] => 000011
[5,7,2,3,6,4,1] => [4,6,1,7,5,3,2] => [5,7,1,3,6,4,2] => 001011
[5,7,2,4,1,3,6] => [4,7,1,2,5,3,6] => [5,7,1,4,2,3,6] => 001001
[5,7,2,4,1,6,3] => [4,7,6,2,5,1,3] => [5,6,2,7,1,4,3] => 001011
[5,7,2,4,3,1,6] => [3,4,7,1,5,2,6] => [5,7,1,4,3,2,6] => 011001
[5,7,2,4,3,6,1] => [6,7,4,2,5,3,1] => [4,2,5,7,3,6,1] => 001011
[5,7,2,4,6,1,3] => [6,7,1,2,5,4,3] => [5,7,1,4,6,2,3] => 000011
[5,7,2,4,6,3,1] => [3,6,7,1,5,4,2] => [5,7,1,4,6,3,2] => 010011
[5,7,2,6,1,3,4] => [6,7,1,3,5,2,4] => [5,7,1,3,6,2,4] => 000011
[5,7,2,6,1,4,3] => [6,7,4,1,5,2,3] => [4,1,5,7,2,6,3] => 001011
[5,7,2,6,3,1,4] => [3,6,7,2,5,1,4] => [5,7,2,6,3,1,4] => 010011
[5,7,2,6,3,4,1] => [4,7,6,3,5,2,1] => [5,6,3,7,2,4,1] => 001011
[5,7,2,6,4,1,3] => [4,6,2,7,5,1,3] => [5,7,2,6,4,1,3] => 001011
[5,7,2,6,4,3,1] => [3,4,6,7,5,2,1] => [5,7,2,6,4,3,1] => 011011
[5,7,3,1,2,4,6] => [3,1,7,2,5,4,6] => [5,7,3,1,2,4,6] => 010001
[5,7,3,1,2,6,4] => [3,1,7,6,5,2,4] => [5,6,3,1,2,7,4] => 010011
[5,7,3,1,4,2,6] => [3,7,4,2,5,1,6] => [4,2,5,7,3,1,6] => 011001
[5,7,3,1,4,6,2] => [3,7,6,2,5,4,1] => [5,6,2,4,7,3,1] => 010011
[5,7,3,1,6,2,4] => [3,7,6,1,5,2,4] => [5,6,1,7,3,2,4] => 010011
[5,7,3,1,6,4,2] => [3,7,4,6,5,2,1] => [5,6,4,2,7,3,1] => 011011
[5,7,3,2,1,4,6] => [2,3,7,1,5,4,6] => [5,7,3,2,1,4,6] => 110001
[5,7,3,2,1,6,4] => [2,3,7,6,5,1,4] => [5,6,3,2,1,7,4] => 110011
[5,7,3,2,4,1,6] => [4,3,7,2,5,1,6] => [5,7,3,2,4,1,6] => 011001
[5,7,3,2,4,6,1] => [6,3,7,2,5,4,1] => [5,7,3,2,4,6,1] => 010011
[5,7,3,2,6,1,4] => [6,3,7,1,5,2,4] => [5,7,3,1,6,2,4] => 010011
[5,7,3,2,6,4,1] => [4,3,6,7,5,1,2] => [5,7,3,1,6,4,2] => 011011
[5,7,3,4,1,2,6] => [4,1,7,3,5,2,6] => [5,7,3,4,1,2,6] => 001001
[5,7,3,4,1,6,2] => [4,6,7,3,5,1,2] => [5,7,3,6,1,4,2] => 001011
[5,7,3,4,2,1,6] => [2,4,7,3,5,1,6] => [5,7,3,4,2,1,6] => 101001
[5,7,3,4,2,6,1] => [6,4,7,3,5,2,1] => [5,7,3,4,2,6,1] => 001011
[5,7,3,4,6,1,2] => [6,1,7,3,5,4,2] => [5,7,3,4,6,1,2] => 000011
[5,7,3,4,6,2,1] => [2,6,7,3,5,4,1] => [5,7,3,4,6,2,1] => 100011
[5,7,3,6,1,2,4] => [6,1,7,2,5,3,4] => [5,7,1,2,6,3,4] => 000011
[5,7,3,6,1,4,2] => [6,4,7,1,5,3,2] => [5,7,1,4,3,6,2] => 001011
[5,7,3,6,2,1,4] => [2,6,7,1,5,3,4] => [5,7,2,1,6,3,4] => 100011
[5,7,3,6,2,4,1] => [4,6,7,2,5,3,1] => [5,7,2,6,3,4,1] => 001011
[5,7,3,6,4,1,2] => [4,1,6,7,5,2,3] => [5,7,1,2,6,4,3] => 001011
[5,7,3,6,4,2,1] => [2,4,6,7,5,1,3] => [5,7,2,1,6,4,3] => 101011
[5,7,4,1,2,3,6] => [4,1,2,7,5,3,6] => [5,7,4,1,2,3,6] => 001001
[5,7,4,1,2,6,3] => [4,1,7,6,5,3,2] => [5,6,3,7,4,1,2] => 001011
[5,7,4,1,3,2,6] => [4,3,1,7,5,2,6] => [3,1,5,7,4,2,6] => 011001
[5,7,4,1,3,6,2] => [4,7,2,6,5,3,1] => [5,6,2,3,7,4,1] => 001011
[5,7,4,1,6,2,3] => [4,7,1,6,5,2,3] => [5,6,1,7,4,2,3] => 001011
[5,7,4,1,6,3,2] => [4,3,7,6,5,2,1] => [5,6,3,2,7,4,1] => 011011
[5,7,4,2,1,3,6] => [2,4,1,7,5,3,6] => [5,7,4,2,1,3,6] => 101001
[5,7,4,2,1,6,3] => [2,4,7,6,5,3,1] => [5,6,3,7,4,2,1] => 101011
[5,7,4,2,3,1,6] => [3,4,2,7,5,1,6] => [5,7,4,2,3,1,6] => 011001
[5,7,4,2,3,6,1] => [6,4,2,7,5,3,1] => [5,7,4,2,3,6,1] => 001011
[5,7,4,2,6,1,3] => [6,4,1,7,5,2,3] => [5,7,4,1,6,2,3] => 001011
[5,7,4,2,6,3,1] => [3,6,4,7,5,1,2] => [5,7,4,1,6,3,2] => 011011
[5,7,4,3,1,2,6] => [3,1,4,7,5,2,6] => [5,7,4,3,1,2,6] => 011001
[5,7,4,3,1,6,2] => [3,4,7,6,5,1,2] => [5,6,1,7,4,3,2] => 011011
[5,7,4,3,2,1,6] => [2,3,4,7,5,1,6] => [5,7,4,3,2,1,6] => 111001
[5,7,4,3,2,6,1] => [6,3,4,7,5,2,1] => [5,7,4,3,2,6,1] => 011011
[5,7,4,3,6,1,2] => [6,1,4,7,5,3,2] => [5,7,4,3,6,1,2] => 001011
[5,7,4,3,6,2,1] => [2,6,4,7,5,3,1] => [5,7,4,3,6,2,1] => 101011
[5,7,4,6,1,2,3] => [6,1,2,7,5,4,3] => [5,7,4,6,1,2,3] => 000011
[5,7,4,6,1,3,2] => [6,3,1,7,5,4,2] => [3,1,5,7,4,6,2] => 010011
[5,7,4,6,2,1,3] => [2,6,1,7,5,4,3] => [5,7,4,6,2,1,3] => 100011
[5,7,4,6,2,3,1] => [3,6,2,7,5,4,1] => [5,7,4,6,2,3,1] => 010011
[5,7,4,6,3,1,2] => [3,1,6,7,5,4,2] => [5,7,4,6,3,1,2] => 010011
[5,7,4,6,3,2,1] => [2,3,6,7,5,4,1] => [5,7,4,6,3,2,1] => 110011
[5,7,6,1,2,3,4] => [6,1,2,3,5,7,4] => [5,7,6,1,2,3,4] => 000011
[5,7,6,1,2,4,3] => [6,1,4,2,5,7,3] => [4,1,2,5,7,6,3] => 001011
[5,7,6,1,3,2,4] => [6,3,1,2,5,7,4] => [3,1,5,7,6,2,4] => 010011
[5,7,6,1,3,4,2] => [6,4,1,3,5,7,2] => [4,1,3,5,7,6,2] => 001011
[5,7,6,1,4,2,3] => [6,4,2,1,5,7,3] => [4,2,5,7,6,1,3] => 001011
[5,7,6,1,4,3,2] => [6,3,4,1,5,7,2] => [4,3,1,5,7,6,2] => 011011
[5,7,6,2,1,3,4] => [2,6,1,3,5,7,4] => [5,7,6,2,1,3,4] => 100011
[5,7,6,2,1,4,3] => [2,6,4,1,5,7,3] => [4,2,1,5,7,6,3] => 101011
[5,7,6,2,3,1,4] => [3,6,2,1,5,7,4] => [5,7,6,2,3,1,4] => 010011
[5,7,6,2,3,4,1] => [4,6,2,3,5,7,1] => [5,7,6,2,3,4,1] => 001011
[5,7,6,2,4,1,3] => [4,6,1,2,5,7,3] => [5,7,6,1,4,2,3] => 001011
[5,7,6,2,4,3,1] => [3,4,6,1,5,7,2] => [5,7,6,1,4,3,2] => 011011
[5,7,6,3,1,2,4] => [3,1,6,2,5,7,4] => [5,7,6,3,1,2,4] => 010011
[5,7,6,3,1,4,2] => [3,6,4,2,5,7,1] => [4,2,5,7,6,3,1] => 011011
[5,7,6,3,2,1,4] => [2,3,6,1,5,7,4] => [5,7,6,3,2,1,4] => 110011
[5,7,6,3,2,4,1] => [4,3,6,2,5,7,1] => [5,7,6,3,2,4,1] => 011011
[5,7,6,3,4,1,2] => [4,1,6,3,5,7,2] => [5,7,6,3,4,1,2] => 001011
[5,7,6,3,4,2,1] => [2,4,6,3,5,7,1] => [5,7,6,3,4,2,1] => 101011
[5,7,6,4,1,2,3] => [4,1,2,6,5,7,3] => [5,7,6,4,1,2,3] => 001011
[5,7,6,4,1,3,2] => [4,3,1,6,5,7,2] => [3,1,5,7,6,4,2] => 011011
[5,7,6,4,2,1,3] => [2,4,1,6,5,7,3] => [5,7,6,4,2,1,3] => 101011
[5,7,6,4,2,3,1] => [3,4,2,6,5,7,1] => [5,7,6,4,2,3,1] => 011011
[5,7,6,4,3,1,2] => [3,1,4,6,5,7,2] => [5,7,6,4,3,1,2] => 011011
[5,7,6,4,3,2,1] => [2,3,4,6,5,7,1] => [5,7,6,4,3,2,1] => 111011
[6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => 000010
[6,1,2,3,4,7,5] => [6,1,2,3,7,4,5] => [7,1,2,3,4,6,5] => 000011
[6,1,2,3,5,4,7] => [6,1,2,5,3,4,7] => [5,1,2,3,6,4,7] => 000110
[6,1,2,3,5,7,4] => [6,1,2,7,3,5,4] => [7,1,2,3,5,6,4] => 000011
[6,1,2,3,7,4,5] => [6,1,2,7,4,3,5] => [7,4,6,1,2,3,5] => 000011
[6,1,2,3,7,5,4] => [6,1,2,5,7,3,4] => [7,5,1,2,3,6,4] => 000111
[6,1,2,4,3,5,7] => [6,1,4,2,3,5,7] => [4,1,2,6,3,5,7] => 001010
[6,1,2,4,3,7,5] => [6,1,4,2,7,3,5] => [4,1,2,7,3,6,5] => 001011
[6,1,2,4,5,3,7] => [6,1,5,2,4,3,7] => [5,1,2,4,6,3,7] => 000110
[6,1,2,4,5,7,3] => [6,1,7,2,4,5,3] => [7,1,2,4,5,6,3] => 000011
[6,1,2,4,7,3,5] => [6,1,7,2,3,4,5] => [7,1,2,6,3,4,5] => 000011
[6,1,2,4,7,5,3] => [6,1,5,2,7,4,3] => [7,5,1,2,4,6,3] => 000111
[6,1,2,5,3,4,7] => [6,1,5,3,2,4,7] => [5,3,6,1,2,4,7] => 000110
[6,1,2,5,3,7,4] => [6,1,5,7,2,3,4] => [7,1,2,5,3,6,4] => 000111
[6,1,2,5,4,3,7] => [6,1,4,5,2,3,7] => [5,4,1,2,6,3,7] => 001110
[6,1,2,5,4,7,3] => [6,1,7,5,2,4,3] => [5,1,2,7,4,6,3] => 000111
[6,1,2,5,7,3,4] => [6,1,7,3,2,5,4] => [7,3,5,6,1,2,4] => 000011
[6,1,2,5,7,4,3] => [6,1,4,7,2,5,3] => [7,4,1,2,5,6,3] => 001011
[6,1,2,7,3,4,5] => [6,1,7,3,4,2,5] => [7,3,4,6,1,2,5] => 000011
[6,1,2,7,3,5,4] => [6,1,7,5,3,2,4] => [5,3,7,1,2,6,4] => 000111
[6,1,2,7,4,3,5] => [6,1,4,7,3,2,5] => [7,4,3,6,1,2,5] => 001011
[6,1,2,7,4,5,3] => [6,1,5,7,4,2,3] => [7,4,5,1,2,6,3] => 000111
[6,1,2,7,5,3,4] => [6,1,5,3,7,2,4] => [7,5,3,6,1,2,4] => 000111
[6,1,2,7,5,4,3] => [6,1,4,5,7,2,3] => [7,5,4,1,2,6,3] => 001111
[6,1,3,2,4,5,7] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => 010010
[6,1,3,2,4,7,5] => [6,3,1,2,7,4,5] => [3,1,7,2,4,6,5] => 010011
[6,1,3,2,5,4,7] => [6,3,1,5,2,4,7] => [3,1,5,2,6,4,7] => 010110
[6,1,3,2,5,7,4] => [6,3,1,7,2,5,4] => [3,1,7,2,5,6,4] => 010011
[6,1,3,2,7,4,5] => [6,3,1,7,4,2,5] => [3,1,7,4,6,2,5] => 010011
[6,1,3,2,7,5,4] => [6,3,1,5,7,2,4] => [3,1,7,5,2,6,4] => 010111
[6,1,3,4,2,5,7] => [6,4,1,3,2,5,7] => [4,1,3,6,2,5,7] => 001010
[6,1,3,4,2,7,5] => [6,4,1,3,7,2,5] => [4,1,3,7,2,6,5] => 001011
[6,1,3,4,5,2,7] => [6,5,1,3,4,2,7] => [5,1,3,4,6,2,7] => 000110
[6,1,3,4,5,7,2] => [6,7,1,3,4,5,2] => [7,1,3,4,5,6,2] => 000011
[6,1,3,4,7,2,5] => [6,7,1,3,2,4,5] => [7,1,3,6,2,4,5] => 000011
[6,1,3,4,7,5,2] => [6,5,1,3,7,4,2] => [7,5,1,3,4,6,2] => 000111
[6,1,3,5,2,4,7] => [6,5,1,2,3,4,7] => [5,1,6,2,3,4,7] => 000110
[6,1,3,5,2,7,4] => [6,5,1,7,3,2,4] => [7,1,3,5,2,6,4] => 000111
[6,1,3,5,4,2,7] => [6,4,1,5,3,2,7] => [5,4,1,3,6,2,7] => 001110
[6,1,3,5,4,7,2] => [6,7,1,5,3,4,2] => [5,1,3,7,4,6,2] => 000111
[6,1,3,5,7,2,4] => [6,7,1,2,3,5,4] => [7,1,5,6,2,3,4] => 000011
[6,1,3,5,7,4,2] => [6,4,1,7,3,5,2] => [7,4,1,3,5,6,2] => 001011
[6,1,3,7,2,4,5] => [6,7,1,2,4,3,5] => [7,1,4,6,2,3,5] => 000011
[6,1,3,7,2,5,4] => [6,7,1,5,2,3,4] => [5,1,7,2,3,6,4] => 000111
[6,1,3,7,4,2,5] => [6,4,1,7,2,3,5] => [7,4,1,6,2,3,5] => 001011
[6,1,3,7,4,5,2] => [6,5,1,7,4,3,2] => [7,4,5,1,3,6,2] => 000111
[6,1,3,7,5,2,4] => [6,5,1,2,7,3,4] => [7,5,1,6,2,3,4] => 000111
[6,1,3,7,5,4,2] => [6,4,1,5,7,3,2] => [7,5,4,1,3,6,2] => 001111
[6,1,4,2,3,5,7] => [6,4,2,1,3,5,7] => [4,2,6,1,3,5,7] => 001010
[6,1,4,2,3,7,5] => [6,4,2,1,7,3,5] => [4,2,7,1,3,6,5] => 001011
[6,1,4,2,5,3,7] => [6,4,5,1,2,3,7] => [5,1,4,2,6,3,7] => 001110
[6,1,4,2,5,7,3] => [6,4,7,1,2,5,3] => [7,1,4,2,5,6,3] => 001011
[6,1,4,2,7,3,5] => [6,4,7,1,3,2,5] => [7,1,4,3,6,2,5] => 001011
[6,1,4,2,7,5,3] => [6,4,5,1,7,2,3] => [7,5,1,4,2,6,3] => 001111
[6,1,4,3,2,5,7] => [6,3,4,1,2,5,7] => [4,3,1,6,2,5,7] => 011010
[6,1,4,3,2,7,5] => [6,3,4,1,7,2,5] => [4,3,1,7,2,6,5] => 011011
[6,1,4,3,5,2,7] => [6,5,4,1,3,2,7] => [4,1,5,3,6,2,7] => 001110
[6,1,4,3,5,7,2] => [6,7,4,1,3,5,2] => [4,1,7,3,5,6,2] => 001011
[6,1,4,3,7,2,5] => [6,7,4,1,2,3,5] => [4,1,7,2,6,3,5] => 001011
[6,1,4,3,7,5,2] => [6,5,4,1,7,3,2] => [4,1,7,5,3,6,2] => 001111
[6,1,4,5,2,3,7] => [6,5,2,1,4,3,7] => [5,2,4,6,1,3,7] => 000110
[6,1,4,5,2,7,3] => [6,5,7,1,4,2,3] => [7,1,4,5,2,6,3] => 000111
[6,1,4,5,3,2,7] => [6,3,5,1,4,2,7] => [5,3,1,4,6,2,7] => 010110
[6,1,4,5,3,7,2] => [6,7,5,1,4,3,2] => [5,1,4,7,3,6,2] => 000111
[6,1,4,5,7,2,3] => [6,7,2,1,4,5,3] => [7,2,4,5,6,1,3] => 000011
[6,1,4,5,7,3,2] => [6,3,7,1,4,5,2] => [7,3,1,4,5,6,2] => 010011
[6,1,4,7,2,3,5] => [6,7,2,1,3,4,5] => [7,2,6,1,3,4,5] => 000011
[6,1,4,7,2,5,3] => [6,7,5,1,2,4,3] => [5,1,7,2,4,6,3] => 000111
[6,1,4,7,3,2,5] => [6,3,7,1,2,4,5] => [7,3,1,6,2,4,5] => 010011
[6,1,4,7,3,5,2] => [6,5,7,1,3,4,2] => [7,1,5,3,4,6,2] => 000111
[6,1,4,7,5,2,3] => [6,5,2,1,7,4,3] => [7,5,2,4,6,1,3] => 000111
[6,1,4,7,5,3,2] => [6,3,5,1,7,4,2] => [7,5,3,1,4,6,2] => 010111
[6,1,5,2,3,4,7] => [6,5,2,3,1,4,7] => [5,2,3,6,1,4,7] => 000110
[6,1,5,2,3,7,4] => [6,5,2,7,1,3,4] => [7,2,5,1,3,6,4] => 000111
[6,1,5,2,4,3,7] => [6,5,4,2,1,3,7] => [4,2,5,1,6,3,7] => 001110
[6,1,5,2,4,7,3] => [6,5,7,2,1,4,3] => [7,2,5,1,4,6,3] => 000111
[6,1,5,2,7,3,4] => [6,5,7,3,1,2,4] => [7,3,5,1,6,2,4] => 000111
[6,1,5,2,7,4,3] => [6,5,4,7,1,2,3] => [7,4,1,5,2,6,3] => 001111
[6,1,5,3,2,4,7] => [6,3,5,2,1,4,7] => [5,3,2,6,1,4,7] => 010110
[6,1,5,3,2,7,4] => [6,3,5,7,1,2,4] => [7,3,1,5,2,6,4] => 010111
[6,1,5,3,4,2,7] => [6,4,5,3,1,2,7] => [5,3,4,1,6,2,7] => 001110
[6,1,5,3,4,7,2] => [6,7,5,3,1,4,2] => [5,3,7,1,4,6,2] => 000111
[6,1,5,3,7,2,4] => [6,7,5,2,1,3,4] => [5,2,7,1,6,3,4] => 000111
[6,1,5,3,7,4,2] => [6,4,7,5,1,2,3] => [5,1,7,4,2,6,3] => 001111
[6,1,5,4,2,3,7] => [6,4,2,5,1,3,7] => [5,4,2,6,1,3,7] => 001110
[6,1,5,4,2,7,3] => [6,4,5,7,1,3,2] => [7,1,5,4,3,6,2] => 001111
[6,1,5,4,3,2,7] => [6,3,4,5,1,2,7] => [5,4,3,1,6,2,7] => 011110
[6,1,5,4,3,7,2] => [6,7,4,5,1,3,2] => [5,4,1,7,3,6,2] => 001111
[6,1,5,4,7,2,3] => [6,7,2,5,1,4,3] => [5,2,7,4,6,1,3] => 000111
[6,1,5,4,7,3,2] => [6,3,7,5,1,4,2] => [5,3,1,7,4,6,2] => 010111
[6,1,5,7,2,3,4] => [6,7,2,3,1,5,4] => [7,2,3,5,6,1,4] => 000011
[6,1,5,7,2,4,3] => [6,7,4,2,1,5,3] => [4,2,7,1,5,6,3] => 001011
[6,1,5,7,3,2,4] => [6,3,7,2,1,5,4] => [7,3,2,5,6,1,4] => 010011
[6,1,5,7,3,4,2] => [6,4,7,3,1,5,2] => [7,3,4,1,5,6,2] => 001011
[6,1,5,7,4,2,3] => [6,4,2,7,1,5,3] => [7,4,2,5,6,1,3] => 001011
[6,1,5,7,4,3,2] => [6,3,4,7,1,5,2] => [7,4,3,1,5,6,2] => 011011
[6,1,7,2,3,4,5] => [6,7,2,3,4,1,5] => [7,2,3,4,6,1,5] => 000011
[6,1,7,2,3,5,4] => [6,7,2,5,3,1,4] => [5,2,3,7,1,6,4] => 000111
[6,1,7,2,4,3,5] => [6,7,4,2,3,1,5] => [4,2,7,3,6,1,5] => 001011
[6,1,7,2,4,5,3] => [6,7,5,2,4,1,3] => [5,2,4,7,1,6,3] => 000111
[6,1,7,2,5,3,4] => [6,7,5,3,2,1,4] => [5,3,7,2,6,1,4] => 000111
[6,1,7,2,5,4,3] => [6,7,4,5,2,1,3] => [5,4,2,7,1,6,3] => 001111
[6,1,7,3,2,4,5] => [6,3,7,2,4,1,5] => [7,3,2,4,6,1,5] => 010011
[6,1,7,3,2,5,4] => [6,3,7,5,2,1,4] => [5,3,2,7,1,6,4] => 010111
[6,1,7,3,4,2,5] => [6,4,7,3,2,1,5] => [7,3,4,2,6,1,5] => 001011
[6,1,7,3,4,5,2] => [6,5,7,3,4,1,2] => [7,3,4,5,1,6,2] => 000111
[6,1,7,3,5,2,4] => [6,5,7,2,3,1,4] => [7,2,5,3,6,1,4] => 000111
[6,1,7,3,5,4,2] => [6,4,5,7,2,1,3] => [7,2,5,4,1,6,3] => 001111
[6,1,7,4,2,3,5] => [6,4,2,7,3,1,5] => [7,4,2,3,6,1,5] => 001011
[6,1,7,4,2,5,3] => [6,4,7,5,3,1,2] => [5,3,7,4,1,6,2] => 001111
[6,1,7,4,3,2,5] => [6,3,4,7,2,1,5] => [7,4,3,2,6,1,5] => 011011
[6,1,7,4,3,5,2] => [6,5,4,7,3,1,2] => [7,4,3,5,1,6,2] => 001111
[6,1,7,4,5,2,3] => [6,5,2,7,4,1,3] => [7,4,5,2,6,1,3] => 000111
[6,1,7,4,5,3,2] => [6,3,5,7,4,1,2] => [7,4,5,3,1,6,2] => 010111
[6,1,7,5,2,3,4] => [6,5,2,3,7,1,4] => [7,5,2,3,6,1,4] => 000111
[6,1,7,5,2,4,3] => [6,5,4,2,7,1,3] => [4,2,7,5,1,6,3] => 001111
[6,1,7,5,3,2,4] => [6,3,5,2,7,1,4] => [7,5,3,2,6,1,4] => 010111
[6,1,7,5,3,4,2] => [6,4,5,3,7,1,2] => [7,5,3,4,1,6,2] => 001111
[6,1,7,5,4,2,3] => [6,4,2,5,7,1,3] => [7,5,4,2,6,1,3] => 001111
[6,1,7,5,4,3,2] => [6,3,4,5,7,1,2] => [7,5,4,3,1,6,2] => 011111
[6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => [6,2,1,3,4,5,7] => 100010
[6,2,1,3,4,7,5] => [2,6,1,3,7,4,5] => [7,2,1,3,4,6,5] => 100011
[6,2,1,3,5,4,7] => [2,6,1,5,3,4,7] => [5,2,1,3,6,4,7] => 100110
[6,2,1,3,5,7,4] => [2,6,1,7,3,5,4] => [7,2,1,3,5,6,4] => 100011
[6,2,1,3,7,4,5] => [2,6,1,7,4,3,5] => [7,4,6,2,1,3,5] => 100011
[6,2,1,3,7,5,4] => [2,6,1,5,7,3,4] => [7,5,2,1,3,6,4] => 100111
[6,2,1,4,3,5,7] => [2,6,4,1,3,5,7] => [4,2,1,6,3,5,7] => 101010
[6,2,1,4,3,7,5] => [2,6,4,1,7,3,5] => [4,2,1,7,3,6,5] => 101011
[6,2,1,4,5,3,7] => [2,6,5,1,4,3,7] => [5,2,1,4,6,3,7] => 100110
[6,2,1,4,5,7,3] => [2,6,7,1,4,5,3] => [7,2,1,4,5,6,3] => 100011
[6,2,1,4,7,3,5] => [2,6,7,1,3,4,5] => [7,2,1,6,3,4,5] => 100011
[6,2,1,4,7,5,3] => [2,6,5,1,7,4,3] => [7,5,2,1,4,6,3] => 100111
[6,2,1,5,3,4,7] => [2,6,5,3,1,4,7] => [5,3,6,2,1,4,7] => 100110
[6,2,1,5,3,7,4] => [2,6,5,7,1,3,4] => [7,2,1,5,3,6,4] => 100111
[6,2,1,5,4,3,7] => [2,6,4,5,1,3,7] => [5,4,2,1,6,3,7] => 101110
[6,2,1,5,4,7,3] => [2,6,7,5,1,4,3] => [5,2,1,7,4,6,3] => 100111
[6,2,1,5,7,3,4] => [2,6,7,3,1,5,4] => [7,3,5,6,2,1,4] => 100011
[6,2,1,5,7,4,3] => [2,6,4,7,1,5,3] => [7,4,2,1,5,6,3] => 101011
[6,2,1,7,3,4,5] => [2,6,7,3,4,1,5] => [7,3,4,6,2,1,5] => 100011
[6,2,1,7,3,5,4] => [2,6,7,5,3,1,4] => [5,3,7,2,1,6,4] => 100111
[6,2,1,7,4,3,5] => [2,6,4,7,3,1,5] => [7,4,3,6,2,1,5] => 101011
[6,2,1,7,4,5,3] => [2,6,5,7,4,1,3] => [7,4,5,2,1,6,3] => 100111
[6,2,1,7,5,3,4] => [2,6,5,3,7,1,4] => [7,5,3,6,2,1,4] => 100111
[6,2,1,7,5,4,3] => [2,6,4,5,7,1,3] => [7,5,4,2,1,6,3] => 101111
[6,2,3,1,4,5,7] => [3,6,2,1,4,5,7] => [6,2,3,1,4,5,7] => 010010
[6,2,3,1,4,7,5] => [3,6,2,1,7,4,5] => [7,2,3,1,4,6,5] => 010011
[6,2,3,1,5,4,7] => [3,6,2,5,1,4,7] => [5,2,3,1,6,4,7] => 010110
[6,2,3,1,5,7,4] => [3,6,2,7,1,5,4] => [7,2,3,1,5,6,4] => 010011
[6,2,3,1,7,4,5] => [3,6,2,7,4,1,5] => [7,4,6,2,3,1,5] => 010011
[6,2,3,1,7,5,4] => [3,6,2,5,7,1,4] => [7,5,2,3,1,6,4] => 010111
[6,2,3,4,1,5,7] => [4,6,2,3,1,5,7] => [6,2,3,4,1,5,7] => 001010
[6,2,3,4,1,7,5] => [4,6,2,3,7,1,5] => [7,2,3,4,1,6,5] => 001011
[6,2,3,4,5,1,7] => [5,6,2,3,4,1,7] => [6,2,3,4,5,1,7] => 000110
[6,2,3,4,5,7,1] => [7,6,2,3,4,5,1] => [6,2,3,4,5,7,1] => 000011
[6,2,3,4,7,1,5] => [7,6,2,3,1,4,5] => [6,2,3,7,1,4,5] => 000011
[6,2,3,4,7,5,1] => [5,7,1,3,6,4,2] => [6,1,3,4,7,5,2] => 000111
[6,2,3,5,1,4,7] => [5,6,2,1,3,4,7] => [6,2,5,1,3,4,7] => 000110
[6,2,3,5,1,7,4] => [5,6,2,7,3,1,4] => [7,2,3,6,1,5,4] => 000111
[6,2,3,5,4,1,7] => [4,5,1,6,3,2,7] => [6,1,3,5,4,2,7] => 001110
[6,2,3,5,4,7,1] => [7,6,2,5,3,4,1] => [5,2,3,6,4,7,1] => 000111
[6,2,3,5,7,1,4] => [7,6,2,1,3,5,4] => [6,2,5,7,1,3,4] => 000011
[6,2,3,5,7,4,1] => [4,7,1,6,3,5,2] => [6,1,3,5,7,4,2] => 001011
[6,2,3,7,1,4,5] => [7,6,2,1,4,3,5] => [6,2,4,7,1,3,5] => 000011
[6,2,3,7,1,5,4] => [7,6,2,5,1,3,4] => [5,2,6,1,3,7,4] => 000111
[6,2,3,7,4,1,5] => [4,7,1,6,2,3,5] => [6,1,7,4,2,3,5] => 001011
[6,2,3,7,4,5,1] => [5,6,2,7,4,3,1] => [7,4,6,2,3,5,1] => 000111
[6,2,3,7,5,1,4] => [5,7,1,2,6,3,4] => [6,1,7,5,2,3,4] => 000111
[6,2,3,7,5,4,1] => [4,5,2,7,6,3,1] => [6,2,3,7,5,4,1] => 001111
[6,2,4,1,3,5,7] => [4,6,1,2,3,5,7] => [6,1,4,2,3,5,7] => 001010
[6,2,4,1,3,7,5] => [4,6,1,2,7,3,5] => [7,1,4,2,3,6,5] => 001011
[6,2,4,1,5,3,7] => [4,6,5,2,1,3,7] => [5,2,6,1,4,3,7] => 001110
[6,2,4,1,5,7,3] => [4,6,7,2,1,5,3] => [7,2,5,6,1,4,3] => 001011
[6,2,4,1,7,3,5] => [4,6,7,2,3,1,5] => [7,2,6,3,4,1,5] => 001011
[6,2,4,1,7,5,3] => [4,6,5,2,7,1,3] => [7,5,2,6,1,4,3] => 001111
[6,2,4,3,1,5,7] => [3,4,6,1,2,5,7] => [6,1,4,3,2,5,7] => 011010
[6,2,4,3,1,7,5] => [3,4,6,1,7,2,5] => [7,1,4,3,2,6,5] => 011011
[6,2,4,3,5,1,7] => [5,6,4,2,3,1,7] => [4,2,6,3,5,1,7] => 001110
[6,2,4,3,5,7,1] => [7,6,4,2,3,5,1] => [4,2,6,3,5,7,1] => 001011
[6,2,4,3,7,1,5] => [7,6,4,2,1,3,5] => [4,2,6,1,7,3,5] => 001011
[6,2,4,3,7,5,1] => [5,7,4,1,6,3,2] => [4,1,6,3,7,5,2] => 001111
[6,2,4,5,1,3,7] => [5,6,1,2,4,3,7] => [6,1,4,5,2,3,7] => 000110
[6,2,4,5,1,7,3] => [5,6,7,2,4,1,3] => [7,2,4,6,1,5,3] => 000111
[6,2,4,5,3,1,7] => [3,5,6,1,4,2,7] => [6,1,4,5,3,2,7] => 010110
[6,2,4,5,3,7,1] => [7,6,5,2,4,3,1] => [5,2,4,6,3,7,1] => 000111
[6,2,4,5,7,1,3] => [7,6,1,2,4,5,3] => [6,1,4,5,7,2,3] => 000011
[6,2,4,5,7,3,1] => [3,7,6,1,4,5,2] => [6,1,4,5,7,3,2] => 010011
[6,2,4,7,1,3,5] => [7,6,1,2,3,4,5] => [6,1,7,2,3,4,5] => 000011
[6,2,4,7,1,5,3] => [7,6,5,2,1,4,3] => [5,2,6,1,4,7,3] => 000111
[6,2,4,7,3,1,5] => [3,7,6,1,2,4,5] => [6,1,7,3,2,4,5] => 010011
[6,2,4,7,3,5,1] => [5,6,7,2,3,4,1] => [7,2,6,3,4,5,1] => 000111
[6,2,4,7,5,1,3] => [5,7,2,1,6,4,3] => [6,2,4,7,5,1,3] => 000111
[6,2,4,7,5,3,1] => [3,5,7,2,6,4,1] => [6,2,4,7,5,3,1] => 010111
[6,2,5,1,3,4,7] => [5,6,1,3,2,4,7] => [6,1,3,5,2,4,7] => 000110
[6,2,5,1,3,7,4] => [5,6,1,7,2,3,4] => [7,1,6,2,3,5,4] => 000111
[6,2,5,1,4,3,7] => [5,6,4,1,2,3,7] => [4,1,6,2,5,3,7] => 001110
[6,2,5,1,4,7,3] => [5,6,7,1,2,4,3] => [7,1,6,2,4,5,3] => 000111
[6,2,5,1,7,3,4] => [5,6,7,3,2,1,4] => [7,3,6,2,5,1,4] => 000111
[6,2,5,1,7,4,3] => [5,6,4,7,2,1,3] => [7,4,2,6,1,5,3] => 001111
[6,2,5,3,1,4,7] => [3,5,6,2,1,4,7] => [6,2,5,3,1,4,7] => 010110
[6,2,5,3,1,7,4] => [3,5,6,7,1,2,4] => [7,1,6,3,2,5,4] => 010111
[6,2,5,3,4,1,7] => [4,6,5,3,2,1,7] => [5,3,6,2,4,1,7] => 001110
[6,2,5,3,4,7,1] => [7,6,5,3,2,4,1] => [5,3,6,2,4,7,1] => 000111
[6,2,5,3,7,1,4] => [7,6,5,1,2,3,4] => [5,1,6,2,7,3,4] => 000111
[6,2,5,3,7,4,1] => [4,7,6,5,3,1,2] => [5,3,6,1,7,4,2] => 001111
[6,2,5,4,1,3,7] => [4,5,2,6,1,3,7] => [6,2,5,4,1,3,7] => 001110
[6,2,5,4,1,7,3] => [4,5,6,7,3,2,1] => [7,3,6,2,5,4,1] => 001111
[6,2,5,4,3,1,7] => [3,4,5,6,2,1,7] => [6,2,5,4,3,1,7] => 011110
[6,2,5,4,3,7,1] => [7,6,4,5,2,3,1] => [5,4,2,6,3,7,1] => 001111
[6,2,5,4,7,1,3] => [7,6,1,5,2,4,3] => [5,1,6,4,7,2,3] => 000111
[6,2,5,4,7,3,1] => [3,7,6,5,1,4,2] => [5,1,6,4,7,3,2] => 010111
[6,2,5,7,1,3,4] => [7,6,1,3,2,5,4] => [6,1,3,5,7,2,4] => 000011
[6,2,5,7,1,4,3] => [7,6,4,1,2,5,3] => [4,1,6,2,5,7,3] => 001011
[6,2,5,7,3,1,4] => [3,7,6,2,1,5,4] => [6,2,5,7,3,1,4] => 010011
[6,2,5,7,3,4,1] => [4,6,7,3,2,5,1] => [7,3,5,6,2,4,1] => 001011
[6,2,5,7,4,1,3] => [4,7,2,6,1,5,3] => [6,2,5,7,4,1,3] => 001011
[6,2,5,7,4,3,1] => [3,4,7,6,2,5,1] => [6,2,5,7,4,3,1] => 011011
[6,2,7,1,3,4,5] => [7,6,1,3,4,2,5] => [6,1,3,4,7,2,5] => 000011
[6,2,7,1,3,5,4] => [7,6,1,5,3,2,4] => [5,1,3,6,2,7,4] => 000111
[6,2,7,1,4,3,5] => [7,6,4,1,3,2,5] => [4,1,6,3,7,2,5] => 001011
[6,2,7,1,4,5,3] => [7,6,5,1,4,2,3] => [5,1,4,6,2,7,3] => 000111
[6,2,7,1,5,3,4] => [7,6,5,3,1,2,4] => [5,3,6,1,7,2,4] => 000111
[6,2,7,1,5,4,3] => [7,6,4,5,1,2,3] => [5,4,1,6,2,7,3] => 001111
[6,2,7,3,1,4,5] => [3,7,6,2,4,1,5] => [6,2,4,7,3,1,5] => 010011
[6,2,7,3,1,5,4] => [3,7,6,5,2,1,4] => [5,2,6,3,1,7,4] => 010111
[6,2,7,3,4,1,5] => [4,6,7,3,1,2,5] => [7,3,6,1,4,2,5] => 001011
[6,2,7,3,4,5,1] => [5,6,7,3,4,2,1] => [7,3,4,6,2,5,1] => 000111
[6,2,7,3,5,1,4] => [5,6,7,1,3,2,4] => [7,1,6,3,5,2,4] => 000111
[6,2,7,3,5,4,1] => [4,5,6,7,1,3,2] => [7,1,6,3,5,4,2] => 001111
[6,2,7,4,1,3,5] => [4,7,2,6,3,1,5] => [6,2,3,7,4,1,5] => 001011
[6,2,7,4,1,5,3] => [4,7,6,5,2,3,1] => [5,2,6,3,7,4,1] => 001111
[6,2,7,4,3,1,5] => [3,4,7,6,1,2,5] => [6,1,7,4,3,2,5] => 011011
[6,2,7,4,3,5,1] => [5,6,4,7,3,2,1] => [7,4,3,6,2,5,1] => 001111
[6,2,7,4,5,1,3] => [5,6,1,7,4,2,3] => [7,4,6,1,5,2,3] => 000111
[6,2,7,4,5,3,1] => [3,5,6,7,4,1,2] => [7,4,6,1,5,3,2] => 010111
[6,2,7,5,1,3,4] => [5,7,2,3,6,1,4] => [6,2,3,7,5,1,4] => 000111
[6,2,7,5,1,4,3] => [5,7,4,2,6,1,3] => [4,2,6,1,7,5,3] => 001111
[6,2,7,5,3,1,4] => [3,5,7,1,6,2,4] => [6,1,7,5,3,2,4] => 010111
[6,2,7,5,3,4,1] => [4,6,5,3,7,2,1] => [7,5,3,6,2,4,1] => 001111
[6,2,7,5,4,1,3] => [4,5,1,7,6,2,3] => [6,1,7,5,4,2,3] => 001111
[6,2,7,5,4,3,1] => [3,4,5,7,6,1,2] => [6,1,7,5,4,3,2] => 011111
[6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => [6,3,1,2,4,5,7] => 010010
[6,3,1,2,4,7,5] => [3,1,6,2,7,4,5] => [7,3,1,2,4,6,5] => 010011
[6,3,1,2,5,4,7] => [3,1,6,5,2,4,7] => [5,3,1,2,6,4,7] => 010110
[6,3,1,2,5,7,4] => [3,1,6,7,2,5,4] => [7,3,1,2,5,6,4] => 010011
[6,3,1,2,7,4,5] => [3,1,6,7,4,2,5] => [7,4,6,3,1,2,5] => 010011
[6,3,1,2,7,5,4] => [3,1,6,5,7,2,4] => [7,5,3,1,2,6,4] => 010111
[6,3,1,4,2,5,7] => [3,6,4,2,1,5,7] => [4,2,6,3,1,5,7] => 011010
[6,3,1,4,2,7,5] => [3,6,4,2,7,1,5] => [4,2,7,3,1,6,5] => 011011
[6,3,1,4,5,2,7] => [3,6,5,2,4,1,7] => [5,2,4,6,3,1,7] => 010110
[6,3,1,4,5,7,2] => [3,6,7,2,4,5,1] => [7,2,4,5,6,3,1] => 010011
[6,3,1,4,7,2,5] => [3,6,7,2,1,4,5] => [7,2,6,3,1,4,5] => 010011
[6,3,1,4,7,5,2] => [3,6,5,2,7,4,1] => [7,5,2,4,6,3,1] => 010111
[6,3,1,5,2,4,7] => [3,6,5,1,2,4,7] => [5,1,6,3,2,4,7] => 010110
[6,3,1,5,2,7,4] => [3,6,5,7,2,1,4] => [7,2,5,3,1,6,4] => 010111
[6,3,1,5,4,2,7] => [3,6,4,5,2,1,7] => [5,4,2,6,3,1,7] => 011110
[6,3,1,5,4,7,2] => [3,6,7,5,2,4,1] => [5,2,7,4,6,3,1] => 010111
[6,3,1,5,7,2,4] => [3,6,7,1,2,5,4] => [7,1,5,6,3,2,4] => 010011
[6,3,1,5,7,4,2] => [3,6,4,7,2,5,1] => [7,4,2,5,6,3,1] => 011011
[6,3,1,7,2,4,5] => [3,6,7,1,4,2,5] => [7,1,4,6,3,2,5] => 010011
[6,3,1,7,2,5,4] => [3,6,7,5,1,2,4] => [5,1,7,3,2,6,4] => 010111
[6,3,1,7,4,2,5] => [3,6,4,7,1,2,5] => [7,4,1,6,3,2,5] => 011011
[6,3,1,7,4,5,2] => [3,6,5,7,4,2,1] => [7,4,5,2,6,3,1] => 010111
[6,3,1,7,5,2,4] => [3,6,5,1,7,2,4] => [7,5,1,6,3,2,4] => 010111
[6,3,1,7,5,4,2] => [3,6,4,5,7,2,1] => [7,5,4,2,6,3,1] => 011111
[6,3,2,1,4,5,7] => [2,3,6,1,4,5,7] => [6,3,2,1,4,5,7] => 110010
[6,3,2,1,4,7,5] => [2,3,6,1,7,4,5] => [7,3,2,1,4,6,5] => 110011
[6,3,2,1,5,4,7] => [2,3,6,5,1,4,7] => [5,3,2,1,6,4,7] => 110110
[6,3,2,1,5,7,4] => [2,3,6,7,1,5,4] => [7,3,2,1,5,6,4] => 110011
[6,3,2,1,7,4,5] => [2,3,6,7,4,1,5] => [7,4,6,3,2,1,5] => 110011
[6,3,2,1,7,5,4] => [2,3,6,5,7,1,4] => [7,5,3,2,1,6,4] => 110111
[6,3,2,4,1,5,7] => [4,3,6,2,1,5,7] => [6,3,2,4,1,5,7] => 011010
[6,3,2,4,1,7,5] => [4,3,6,2,7,1,5] => [7,3,2,4,1,6,5] => 011011
[6,3,2,4,5,1,7] => [5,3,6,2,4,1,7] => [6,3,2,4,5,1,7] => 010110
[6,3,2,4,5,7,1] => [7,3,6,2,4,5,1] => [6,3,2,4,5,7,1] => 010011
[6,3,2,4,7,1,5] => [7,3,6,2,1,4,5] => [6,3,2,7,1,4,5] => 010011
[6,3,2,4,7,5,1] => [5,3,7,1,6,4,2] => [6,3,1,4,7,5,2] => 010111
[6,3,2,5,1,4,7] => [5,3,6,1,2,4,7] => [6,3,1,5,2,4,7] => 010110
[6,3,2,5,1,7,4] => [5,3,6,7,2,1,4] => [7,3,2,6,1,5,4] => 010111
[6,3,2,5,4,1,7] => [4,3,5,6,1,2,7] => [6,3,1,5,4,2,7] => 011110
[6,3,2,5,4,7,1] => [7,3,6,5,2,4,1] => [5,3,2,6,4,7,1] => 010111
[6,3,2,5,7,1,4] => [7,3,6,1,2,5,4] => [6,3,1,5,7,2,4] => 010011
[6,3,2,5,7,4,1] => [4,3,7,6,1,5,2] => [6,3,1,5,7,4,2] => 011011
[6,3,2,7,1,4,5] => [7,3,6,1,4,2,5] => [6,3,1,4,7,2,5] => 010011
[6,3,2,7,1,5,4] => [7,3,6,5,1,2,4] => [5,3,1,6,2,7,4] => 010111
[6,3,2,7,4,1,5] => [4,3,7,6,2,1,5] => [6,3,2,7,4,1,5] => 011011
[6,3,2,7,4,5,1] => [5,3,6,7,4,2,1] => [7,4,6,3,2,5,1] => 010111
[6,3,2,7,5,1,4] => [5,3,7,2,6,1,4] => [6,3,2,7,5,1,4] => 010111
[6,3,2,7,5,4,1] => [4,3,5,7,6,2,1] => [6,3,2,7,5,4,1] => 011111
[6,3,4,1,2,5,7] => [4,1,6,3,2,5,7] => [6,3,4,1,2,5,7] => 001010
[6,3,4,1,2,7,5] => [4,1,6,3,7,2,5] => [7,3,4,1,2,6,5] => 001011
[6,3,4,1,5,2,7] => [4,5,6,3,1,2,7] => [6,3,5,1,4,2,7] => 001110
[6,3,4,1,5,7,2] => [4,7,6,3,1,5,2] => [6,3,5,7,1,4,2] => 001011
[6,3,4,1,7,2,5] => [4,7,6,3,2,1,5] => [6,3,7,2,4,1,5] => 001011
[6,3,4,1,7,5,2] => [4,5,7,2,6,1,3] => [6,2,7,5,1,4,3] => 001111
[6,3,4,2,1,5,7] => [2,4,6,3,1,5,7] => [6,3,4,2,1,5,7] => 101010
[6,3,4,2,1,7,5] => [2,4,6,3,7,1,5] => [7,3,4,2,1,6,5] => 101011
[6,3,4,2,5,1,7] => [5,4,6,3,2,1,7] => [6,3,4,2,5,1,7] => 001110
[6,3,4,2,5,7,1] => [7,4,6,3,2,5,1] => [6,3,4,2,5,7,1] => 001011
[6,3,4,2,7,1,5] => [7,4,6,3,1,2,5] => [6,3,4,1,7,2,5] => 001011
[6,3,4,2,7,5,1] => [5,4,7,1,6,2,3] => [6,1,4,2,7,5,3] => 001111
[6,3,4,5,1,2,7] => [5,1,6,3,4,2,7] => [6,3,4,5,1,2,7] => 000110
[6,3,4,5,1,7,2] => [5,7,6,3,4,1,2] => [6,3,4,7,1,5,2] => 000111
[6,3,4,5,2,1,7] => [2,5,6,3,4,1,7] => [6,3,4,5,2,1,7] => 100110
[6,3,4,5,2,7,1] => [7,5,6,3,4,2,1] => [6,3,4,5,2,7,1] => 000111
[6,3,4,5,7,1,2] => [7,1,6,3,4,5,2] => [6,3,4,5,7,1,2] => 000011
[6,3,4,5,7,2,1] => [2,7,6,3,4,5,1] => [6,3,4,5,7,2,1] => 100011
[6,3,4,7,1,2,5] => [7,1,6,3,2,4,5] => [6,3,7,1,2,4,5] => 000011
[6,3,4,7,1,5,2] => [7,5,6,3,1,4,2] => [6,3,5,1,4,7,2] => 000111
[6,3,4,7,2,1,5] => [2,7,6,3,1,4,5] => [6,3,7,2,1,4,5] => 100011
[6,3,4,7,2,5,1] => [5,7,6,3,2,4,1] => [6,3,7,2,4,5,1] => 000111
[6,3,4,7,5,1,2] => [5,1,7,2,6,4,3] => [6,1,2,4,7,5,3] => 000111
[6,3,4,7,5,2,1] => [2,5,7,1,6,4,3] => [6,2,1,4,7,5,3] => 100111
[6,3,5,1,2,4,7] => [5,1,6,2,3,4,7] => [6,1,2,5,3,4,7] => 000110
[6,3,5,1,2,7,4] => [5,1,6,7,3,2,4] => [7,3,6,1,2,5,4] => 000111
[6,3,5,1,4,2,7] => [5,4,6,1,3,2,7] => [6,1,4,3,5,2,7] => 001110
[6,3,5,1,4,7,2] => [5,7,6,1,3,4,2] => [6,1,7,3,4,5,2] => 000111
[6,3,5,1,7,2,4] => [5,7,6,2,3,1,4] => [6,2,7,3,5,1,4] => 000111
[6,3,5,1,7,4,2] => [5,4,7,6,2,1,3] => [6,2,7,4,1,5,3] => 001111
[6,3,5,2,1,4,7] => [2,5,6,1,3,4,7] => [6,2,1,5,3,4,7] => 100110
[6,3,5,2,1,7,4] => [2,5,6,7,3,1,4] => [7,3,6,2,1,5,4] => 100111
[6,3,5,2,4,1,7] => [4,5,6,2,3,1,7] => [6,2,5,3,4,1,7] => 001110
[6,3,5,2,4,7,1] => [7,5,6,2,3,4,1] => [6,2,5,3,4,7,1] => 000111
[6,3,5,2,7,1,4] => [7,5,6,1,3,2,4] => [6,1,5,3,7,2,4] => 000111
[6,3,5,2,7,4,1] => [4,7,5,6,1,3,2] => [6,1,5,3,7,4,2] => 001111
[6,3,5,4,1,2,7] => [4,1,5,6,2,3,7] => [6,1,2,5,4,3,7] => 001110
[6,3,5,4,1,7,2] => [4,5,7,6,1,2,3] => [6,1,7,2,5,4,3] => 001111
[6,3,5,4,2,1,7] => [2,4,5,6,1,3,7] => [6,2,1,5,4,3,7] => 101110
[6,3,5,4,2,7,1] => [7,4,5,6,2,3,1] => [6,2,5,4,3,7,1] => 001111
[6,3,5,4,7,1,2] => [7,1,6,5,3,4,2] => [5,3,6,4,7,1,2] => 000111
[6,3,5,4,7,2,1] => [2,7,6,5,3,4,1] => [5,3,6,4,7,2,1] => 100111
[6,3,5,7,1,2,4] => [7,1,6,2,3,5,4] => [6,1,2,5,7,3,4] => 000011
[6,3,5,7,1,4,2] => [7,4,6,1,3,5,2] => [6,1,4,3,5,7,2] => 001011
[6,3,5,7,2,1,4] => [2,7,6,1,3,5,4] => [6,2,1,5,7,3,4] => 100011
[6,3,5,7,2,4,1] => [4,7,6,2,3,5,1] => [6,2,5,7,3,4,1] => 001011
[6,3,5,7,4,1,2] => [4,1,7,6,2,5,3] => [6,1,2,5,7,4,3] => 001011
[6,3,5,7,4,2,1] => [2,4,7,6,1,5,3] => [6,2,1,5,7,4,3] => 101011
[6,3,7,1,2,4,5] => [7,1,6,2,4,3,5] => [6,1,2,4,7,3,5] => 000011
[6,3,7,1,2,5,4] => [7,1,6,5,2,3,4] => [5,1,2,6,3,7,4] => 000111
[6,3,7,1,4,2,5] => [7,4,6,1,2,3,5] => [6,1,4,2,7,3,5] => 001011
[6,3,7,1,4,5,2] => [7,5,6,1,4,3,2] => [6,1,4,5,3,7,2] => 000111
[6,3,7,1,5,2,4] => [7,5,6,2,1,3,4] => [6,2,5,1,7,3,4] => 000111
[6,3,7,1,5,4,2] => [7,4,5,6,1,2,3] => [6,1,5,4,2,7,3] => 001111
[6,3,7,2,1,4,5] => [2,7,6,1,4,3,5] => [6,2,1,4,7,3,5] => 100011
[6,3,7,2,1,5,4] => [2,7,6,5,1,3,4] => [5,2,1,6,3,7,4] => 100111
[6,3,7,2,4,1,5] => [4,7,6,2,1,3,5] => [6,2,7,1,4,3,5] => 001011
[6,3,7,2,4,5,1] => [5,7,6,2,4,3,1] => [6,2,4,7,3,5,1] => 000111
[6,3,7,2,5,1,4] => [5,7,6,1,2,3,4] => [6,1,7,2,5,3,4] => 000111
[6,3,7,2,5,4,1] => [4,5,7,6,3,1,2] => [6,3,7,1,5,4,2] => 001111
[6,3,7,4,1,2,5] => [4,1,7,6,3,2,5] => [6,3,7,4,1,2,5] => 001011
[6,3,7,4,1,5,2] => [4,7,5,6,2,1,3] => [6,2,5,1,7,4,3] => 001111
[6,3,7,4,2,1,5] => [2,4,7,6,3,1,5] => [6,3,7,4,2,1,5] => 101011
[6,3,7,4,2,5,1] => [5,4,7,6,3,2,1] => [6,3,7,4,2,5,1] => 001111
[6,3,7,4,5,1,2] => [5,1,6,7,4,3,2] => [7,4,6,3,5,1,2] => 000111
[6,3,7,4,5,2,1] => [2,5,6,7,4,3,1] => [7,4,6,3,5,2,1] => 100111
[6,3,7,5,1,2,4] => [5,1,7,3,6,2,4] => [6,3,7,5,1,2,4] => 000111
[6,3,7,5,1,4,2] => [5,4,7,3,6,1,2] => [6,3,4,1,7,5,2] => 001111
[6,3,7,5,2,1,4] => [2,5,7,3,6,1,4] => [6,3,7,5,2,1,4] => 100111
[6,3,7,5,2,4,1] => [4,5,7,3,6,2,1] => [6,3,7,5,2,4,1] => 001111
[6,3,7,5,4,1,2] => [4,1,5,7,6,3,2] => [6,3,7,5,4,1,2] => 001111
[6,3,7,5,4,2,1] => [2,4,5,7,6,3,1] => [6,3,7,5,4,2,1] => 101111
[6,4,1,2,3,5,7] => [4,1,2,6,3,5,7] => [6,4,1,2,3,5,7] => 001010
[6,4,1,2,3,7,5] => [4,1,2,6,7,3,5] => [7,4,1,2,3,6,5] => 001011
[6,4,1,2,5,3,7] => [4,1,6,5,3,2,7] => [5,3,6,4,1,2,7] => 001110
[6,4,1,2,5,7,3] => [4,1,6,7,3,5,2] => [7,3,5,6,4,1,2] => 001011
[6,4,1,2,7,3,5] => [4,1,6,7,2,3,5] => [7,1,2,6,4,3,5] => 001011
[6,4,1,2,7,5,3] => [4,1,6,5,7,3,2] => [7,5,3,6,4,1,2] => 001111
[6,4,1,3,2,5,7] => [4,3,1,6,2,5,7] => [3,1,6,4,2,5,7] => 011010
[6,4,1,3,2,7,5] => [4,3,1,6,7,2,5] => [3,1,7,4,2,6,5] => 011011
[6,4,1,3,5,2,7] => [4,6,2,5,3,1,7] => [5,2,3,6,4,1,7] => 001110
[6,4,1,3,5,7,2] => [4,6,2,7,3,5,1] => [7,2,3,5,6,4,1] => 001011
[6,4,1,3,7,2,5] => [4,6,2,7,1,3,5] => [7,2,6,4,1,3,5] => 001011
[6,4,1,3,7,5,2] => [4,6,2,5,7,3,1] => [7,5,2,3,6,4,1] => 001111
[6,4,1,5,2,3,7] => [4,6,1,5,2,3,7] => [5,1,6,4,2,3,7] => 001110
[6,4,1,5,2,7,3] => [4,6,5,7,2,3,1] => [7,2,5,3,6,4,1] => 001111
[6,4,1,5,3,2,7] => [4,3,6,5,2,1,7] => [5,3,2,6,4,1,7] => 011110
[6,4,1,5,3,7,2] => [4,6,7,5,2,1,3] => [5,2,7,1,6,4,3] => 001111
[6,4,1,5,7,2,3] => [4,6,1,7,2,5,3] => [7,1,5,6,4,2,3] => 001011
[6,4,1,5,7,3,2] => [4,3,6,7,2,5,1] => [7,3,2,5,6,4,1] => 011011
[6,4,1,7,2,3,5] => [4,6,1,7,3,2,5] => [7,1,3,6,4,2,5] => 001011
[6,4,1,7,2,5,3] => [4,6,7,5,3,2,1] => [5,3,7,2,6,4,1] => 001111
[6,4,1,7,3,2,5] => [4,3,6,7,1,2,5] => [7,3,1,6,4,2,5] => 011011
[6,4,1,7,3,5,2] => [4,6,5,7,1,2,3] => [7,1,5,2,6,4,3] => 001111
[6,4,1,7,5,2,3] => [4,6,1,5,7,2,3] => [7,5,1,6,4,2,3] => 001111
[6,4,1,7,5,3,2] => [4,3,6,5,7,2,1] => [7,5,3,2,6,4,1] => 011111
[6,4,2,1,3,5,7] => [2,4,1,6,3,5,7] => [6,4,2,1,3,5,7] => 101010
[6,4,2,1,3,7,5] => [2,4,1,6,7,3,5] => [7,4,2,1,3,6,5] => 101011
[6,4,2,1,5,3,7] => [2,4,6,5,3,1,7] => [5,3,6,4,2,1,7] => 101110
[6,4,2,1,5,7,3] => [2,4,6,7,3,5,1] => [7,3,5,6,4,2,1] => 101011
[6,4,2,1,7,3,5] => [2,4,6,7,1,3,5] => [7,2,1,6,4,3,5] => 101011
[6,4,2,1,7,5,3] => [2,4,6,5,7,3,1] => [7,5,3,6,4,2,1] => 101111
[6,4,2,3,1,5,7] => [3,4,2,6,1,5,7] => [6,4,2,3,1,5,7] => 011010
[6,4,2,3,1,7,5] => [3,4,2,6,7,1,5] => [7,4,2,3,1,6,5] => 011011
[6,4,2,3,5,1,7] => [5,4,2,6,3,1,7] => [6,4,2,3,5,1,7] => 001110
[6,4,2,3,5,7,1] => [7,4,2,6,3,5,1] => [6,4,2,3,5,7,1] => 001011
[6,4,2,3,7,1,5] => [7,4,2,6,1,3,5] => [6,4,2,7,1,3,5] => 001011
[6,4,2,3,7,5,1] => [5,4,1,7,6,3,2] => [6,4,1,3,7,5,2] => 001111
[6,4,2,5,1,3,7] => [5,4,1,6,2,3,7] => [6,4,1,5,2,3,7] => 001110
[6,4,2,5,1,7,3] => [5,4,6,7,3,1,2] => [7,3,6,4,1,5,2] => 001111
[6,4,2,5,3,1,7] => [3,5,4,6,1,2,7] => [6,4,1,5,3,2,7] => 011110
[6,4,2,5,3,7,1] => [7,4,6,5,3,2,1] => [5,3,6,4,2,7,1] => 001111
[6,4,2,5,7,1,3] => [7,4,1,6,2,5,3] => [6,4,1,5,7,2,3] => 001011
[6,4,2,5,7,3,1] => [3,7,4,6,1,5,2] => [6,4,1,5,7,3,2] => 011011
[6,4,2,7,1,3,5] => [7,4,1,6,3,2,5] => [6,4,1,3,7,2,5] => 001011
[6,4,2,7,1,5,3] => [7,4,6,5,1,3,2] => [5,1,6,4,3,7,2] => 001111
[6,4,2,7,3,1,5] => [3,7,4,6,2,1,5] => [6,4,2,7,3,1,5] => 011011
[6,4,2,7,3,5,1] => [5,4,6,7,2,3,1] => [7,2,6,4,3,5,1] => 001111
[6,4,2,7,5,1,3] => [5,4,2,7,6,1,3] => [6,4,2,7,5,1,3] => 001111
[6,4,2,7,5,3,1] => [3,5,4,7,6,2,1] => [6,4,2,7,5,3,1] => 011111
[6,4,3,1,2,5,7] => [3,1,4,6,2,5,7] => [6,4,3,1,2,5,7] => 011010
[6,4,3,1,2,7,5] => [3,1,4,6,7,2,5] => [7,4,3,1,2,6,5] => 011011
[6,4,3,1,5,2,7] => [3,4,6,5,1,2,7] => [5,1,6,4,3,2,7] => 011110
[6,4,3,1,5,7,2] => [3,4,6,7,1,5,2] => [7,1,5,6,4,3,2] => 011011
[6,4,3,1,7,2,5] => [3,4,6,7,2,1,5] => [7,2,6,4,3,1,5] => 011011
[6,4,3,1,7,5,2] => [3,4,6,5,7,1,2] => [7,5,1,6,4,3,2] => 011111
[6,4,3,2,1,5,7] => [2,3,4,6,1,5,7] => [6,4,3,2,1,5,7] => 111010
[6,4,3,2,1,7,5] => [2,3,4,6,7,1,5] => [7,4,3,2,1,6,5] => 111011
[6,4,3,2,5,1,7] => [5,3,4,6,2,1,7] => [6,4,3,2,5,1,7] => 011110
[6,4,3,2,5,7,1] => [7,3,4,6,2,5,1] => [6,4,3,2,5,7,1] => 011011
[6,4,3,2,7,1,5] => [7,3,4,6,1,2,5] => [6,4,3,1,7,2,5] => 011011
[6,4,3,2,7,5,1] => [5,3,4,7,6,1,2] => [6,4,3,1,7,5,2] => 011111
[6,4,3,5,1,2,7] => [5,1,4,6,3,2,7] => [6,4,3,5,1,2,7] => 001110
[6,4,3,5,1,7,2] => [5,7,4,6,3,1,2] => [6,4,3,7,1,5,2] => 001111
[6,4,3,5,2,1,7] => [2,5,4,6,3,1,7] => [6,4,3,5,2,1,7] => 101110
[6,4,3,5,2,7,1] => [7,5,4,6,3,2,1] => [6,4,3,5,2,7,1] => 001111
[6,4,3,5,7,1,2] => [7,1,4,6,3,5,2] => [6,4,3,5,7,1,2] => 001011
[6,4,3,5,7,2,1] => [2,7,4,6,3,5,1] => [6,4,3,5,7,2,1] => 101011
[6,4,3,7,1,2,5] => [7,1,4,6,2,3,5] => [6,4,1,2,7,3,5] => 001011
[6,4,3,7,1,5,2] => [7,5,4,6,1,3,2] => [6,4,1,5,3,7,2] => 001111
[6,4,3,7,2,1,5] => [2,7,4,6,1,3,5] => [6,4,2,1,7,3,5] => 101011
[6,4,3,7,2,5,1] => [5,7,4,6,2,3,1] => [6,4,2,7,3,5,1] => 001111
[6,4,3,7,5,1,2] => [5,1,4,7,6,2,3] => [6,4,1,2,7,5,3] => 001111
[6,4,3,7,5,2,1] => [2,5,4,7,6,1,3] => [6,4,2,1,7,5,3] => 101111
[6,4,5,1,2,3,7] => [5,1,2,6,4,3,7] => [6,4,5,1,2,3,7] => 000110
[6,4,5,1,2,7,3] => [5,1,7,6,4,2,3] => [6,4,7,1,2,5,3] => 000111
[6,4,5,1,3,2,7] => [5,3,1,6,4,2,7] => [3,1,6,4,5,2,7] => 010110
[6,4,5,1,3,7,2] => [5,7,1,6,4,3,2] => [6,4,7,1,3,5,2] => 000111
[6,4,5,1,7,2,3] => [5,7,2,6,4,1,3] => [6,4,7,2,5,1,3] => 000111
[6,4,5,1,7,3,2] => [5,3,7,6,4,1,2] => [6,4,7,3,1,5,2] => 010111
[6,4,5,2,1,3,7] => [2,5,1,6,4,3,7] => [6,4,5,2,1,3,7] => 100110
[6,4,5,2,1,7,3] => [2,5,7,6,4,1,3] => [6,4,7,2,1,5,3] => 100111
[6,4,5,2,3,1,7] => [3,5,2,6,4,1,7] => [6,4,5,2,3,1,7] => 010110
[6,4,5,2,3,7,1] => [7,5,2,6,4,3,1] => [6,4,5,2,3,7,1] => 000111
[6,4,5,2,7,1,3] => [7,5,1,6,4,2,3] => [6,4,5,1,7,2,3] => 000111
[6,4,5,2,7,3,1] => [3,7,5,6,4,1,2] => [6,4,5,1,7,3,2] => 010111
[6,4,5,3,1,2,7] => [3,1,5,6,4,2,7] => [6,4,5,3,1,2,7] => 010110
[6,4,5,3,1,7,2] => [3,5,7,6,4,2,1] => [6,4,7,2,5,3,1] => 010111
[6,4,5,3,2,1,7] => [2,3,5,6,4,1,7] => [6,4,5,3,2,1,7] => 110110
[6,4,5,3,2,7,1] => [7,3,5,6,4,2,1] => [6,4,5,3,2,7,1] => 010111
[6,4,5,3,7,1,2] => [7,1,5,6,4,3,2] => [6,4,5,3,7,1,2] => 000111
[6,4,5,3,7,2,1] => [2,7,5,6,4,3,1] => [6,4,5,3,7,2,1] => 100111
[6,4,5,7,1,2,3] => [7,1,2,6,4,5,3] => [6,4,5,7,1,2,3] => 000011
[6,4,5,7,1,3,2] => [7,3,1,6,4,5,2] => [3,1,6,4,5,7,2] => 010011
[6,4,5,7,2,1,3] => [2,7,1,6,4,5,3] => [6,4,5,7,2,1,3] => 100011
[6,4,5,7,2,3,1] => [3,7,2,6,4,5,1] => [6,4,5,7,2,3,1] => 010011
[6,4,5,7,3,1,2] => [3,1,7,6,4,5,2] => [6,4,5,7,3,1,2] => 010011
[6,4,5,7,3,2,1] => [2,3,7,6,4,5,1] => [6,4,5,7,3,2,1] => 110011
[6,4,7,1,2,3,5] => [7,1,2,6,3,4,5] => [6,1,2,3,7,4,5] => 000011
[6,4,7,1,2,5,3] => [7,1,5,6,2,4,3] => [6,1,2,5,4,7,3] => 000111
[6,4,7,1,3,2,5] => [7,3,1,6,2,4,5] => [3,1,6,2,7,4,5] => 010011
[6,4,7,1,3,5,2] => [7,5,1,6,3,4,2] => [6,1,3,5,4,7,2] => 000111
[6,4,7,1,5,2,3] => [7,5,2,6,1,4,3] => [6,2,5,4,7,1,3] => 000111
[6,4,7,1,5,3,2] => [7,3,5,6,1,4,2] => [6,3,1,5,4,7,2] => 010111
[6,4,7,2,1,3,5] => [2,7,1,6,3,4,5] => [6,2,1,3,7,4,5] => 100011
[6,4,7,2,1,5,3] => [2,7,5,6,1,4,3] => [6,2,1,5,4,7,3] => 100111
[6,4,7,2,3,1,5] => [3,7,2,6,1,4,5] => [6,2,3,1,7,4,5] => 010011
[6,4,7,2,3,5,1] => [5,7,2,6,3,4,1] => [6,2,3,7,4,5,1] => 000111
[6,4,7,2,5,1,3] => [5,7,1,6,2,4,3] => [6,1,7,4,5,2,3] => 000111
[6,4,7,2,5,3,1] => [3,5,7,6,1,4,2] => [6,1,7,4,5,3,2] => 010111
[6,4,7,3,1,2,5] => [3,1,7,6,2,4,5] => [6,3,1,2,7,4,5] => 010011
[6,4,7,3,1,5,2] => [3,7,5,6,2,4,1] => [6,2,5,4,7,3,1] => 010111
[6,4,7,3,2,1,5] => [2,3,7,6,1,4,5] => [6,3,2,1,7,4,5] => 110011
[6,4,7,3,2,5,1] => [5,3,7,6,2,4,1] => [6,3,2,7,4,5,1] => 010111
[6,4,7,3,5,1,2] => [5,1,7,6,3,4,2] => [6,3,7,4,5,1,2] => 000111
[6,4,7,3,5,2,1] => [2,5,7,6,3,4,1] => [6,3,7,4,5,2,1] => 100111
[6,4,7,5,1,2,3] => [5,1,2,7,6,3,4] => [6,1,2,3,7,5,4] => 000111
[6,4,7,5,1,3,2] => [5,3,1,7,6,2,4] => [3,1,6,2,7,5,4] => 010111
[6,4,7,5,2,1,3] => [2,5,1,7,6,3,4] => [6,2,1,3,7,5,4] => 100111
[6,4,7,5,2,3,1] => [3,5,2,7,6,1,4] => [6,2,3,1,7,5,4] => 010111
[6,4,7,5,3,1,2] => [3,1,5,7,6,2,4] => [6,3,1,2,7,5,4] => 010111
[6,4,7,5,3,2,1] => [2,3,5,7,6,1,4] => [6,3,2,1,7,5,4] => 110111
[6,5,1,2,3,4,7] => [5,1,2,3,6,4,7] => [6,5,1,2,3,4,7] => 000110
[6,5,1,2,3,7,4] => [5,1,2,6,7,4,3] => [7,4,6,5,1,2,3] => 000111
[6,5,1,2,4,3,7] => [5,1,4,2,6,3,7] => [4,1,2,6,5,3,7] => 001110
[6,5,1,2,4,7,3] => [5,1,6,3,7,4,2] => [7,3,4,6,5,1,2] => 000111
[6,5,1,2,7,3,4] => [5,1,6,2,7,3,4] => [7,1,2,6,5,3,4] => 000111
[6,5,1,2,7,4,3] => [5,1,4,6,7,3,2] => [7,4,3,6,5,1,2] => 001111
[6,5,1,3,2,4,7] => [5,3,1,2,6,4,7] => [3,1,6,5,2,4,7] => 010110
[6,5,1,3,2,7,4] => [5,3,1,6,7,4,2] => [3,1,7,4,6,5,2] => 010111
[6,5,1,3,4,2,7] => [5,4,1,3,6,2,7] => [4,1,3,6,5,2,7] => 001110
[6,5,1,3,4,7,2] => [5,6,2,3,7,4,1] => [7,2,3,4,6,5,1] => 000111
[6,5,1,3,7,2,4] => [5,6,2,1,7,3,4] => [7,2,6,5,1,3,4] => 000111
[6,5,1,3,7,4,2] => [5,4,2,6,7,3,1] => [7,4,2,3,6,5,1] => 001111
[6,5,1,4,2,3,7] => [5,4,2,1,6,3,7] => [4,2,6,5,1,3,7] => 001110
[6,5,1,4,2,7,3] => [5,4,6,3,7,2,1] => [7,3,4,2,6,5,1] => 001111
[6,5,1,4,3,2,7] => [5,3,4,1,6,2,7] => [4,3,1,6,5,2,7] => 011110
[6,5,1,4,3,7,2] => [5,6,4,2,7,3,1] => [4,2,7,3,6,5,1] => 001111
[6,5,1,4,7,2,3] => [5,6,1,2,7,4,3] => [7,1,4,6,5,2,3] => 000111
[6,5,1,4,7,3,2] => [5,3,6,2,7,4,1] => [7,3,2,4,6,5,1] => 010111
[6,5,1,7,2,3,4] => [5,6,1,3,7,2,4] => [7,1,3,6,5,2,4] => 000111
[6,5,1,7,2,4,3] => [5,6,4,1,7,2,3] => [4,1,7,2,6,5,3] => 001111
[6,5,1,7,3,2,4] => [5,3,6,1,7,2,4] => [7,3,1,6,5,2,4] => 010111
[6,5,1,7,3,4,2] => [5,4,6,1,7,3,2] => [7,1,4,3,6,5,2] => 001111
[6,5,1,7,4,2,3] => [5,4,1,6,7,2,3] => [7,4,1,6,5,2,3] => 001111
[6,5,1,7,4,3,2] => [5,3,4,6,7,2,1] => [7,4,3,2,6,5,1] => 011111
[6,5,2,1,3,4,7] => [2,5,1,3,6,4,7] => [6,5,2,1,3,4,7] => 100110
[6,5,2,1,3,7,4] => [2,5,1,6,7,4,3] => [7,4,6,5,2,1,3] => 100111
[6,5,2,1,4,3,7] => [2,5,4,1,6,3,7] => [4,2,1,6,5,3,7] => 101110
[6,5,2,1,4,7,3] => [2,5,6,3,7,4,1] => [7,3,4,6,5,2,1] => 100111
[6,5,2,1,7,3,4] => [2,5,6,1,7,3,4] => [7,2,1,6,5,3,4] => 100111
[6,5,2,1,7,4,3] => [2,5,4,6,7,3,1] => [7,4,3,6,5,2,1] => 101111
[6,5,2,3,1,4,7] => [3,5,2,1,6,4,7] => [6,5,2,3,1,4,7] => 010110
[6,5,2,3,1,7,4] => [3,5,2,6,7,4,1] => [7,4,6,5,2,3,1] => 010111
[6,5,2,3,4,1,7] => [4,5,2,3,6,1,7] => [6,5,2,3,4,1,7] => 001110
[6,5,2,3,4,7,1] => [7,5,2,3,6,4,1] => [6,5,2,3,4,7,1] => 000111
[6,5,2,3,7,1,4] => [7,5,2,1,6,3,4] => [6,5,2,7,1,3,4] => 000111
[6,5,2,3,7,4,1] => [4,7,1,5,6,3,2] => [6,5,1,3,7,4,2] => 001111
[6,5,2,4,1,3,7] => [4,5,1,2,6,3,7] => [6,5,1,4,2,3,7] => 001110
[6,5,2,4,1,7,3] => [4,5,6,3,7,1,2] => [7,3,6,5,1,4,2] => 001111
[6,5,2,4,3,1,7] => [3,4,5,1,6,2,7] => [6,5,1,4,3,2,7] => 011110
[6,5,2,4,3,7,1] => [7,5,4,2,6,3,1] => [4,2,6,5,3,7,1] => 001111
[6,5,2,4,7,1,3] => [7,5,1,2,6,4,3] => [6,5,1,4,7,2,3] => 000111
[6,5,2,4,7,3,1] => [3,7,5,1,6,4,2] => [6,5,1,4,7,3,2] => 010111
[6,5,2,7,1,3,4] => [7,5,1,3,6,2,4] => [6,5,1,3,7,2,4] => 000111
[6,5,2,7,1,4,3] => [7,5,4,1,6,2,3] => [4,1,6,5,2,7,3] => 001111
[6,5,2,7,3,1,4] => [3,7,5,2,6,1,4] => [6,5,2,7,3,1,4] => 010111
[6,5,2,7,3,4,1] => [4,5,6,2,7,3,1] => [7,2,6,5,3,4,1] => 001111
[6,5,2,7,4,1,3] => [4,7,2,5,6,1,3] => [6,5,2,7,4,1,3] => 001111
[6,5,2,7,4,3,1] => [3,4,7,5,6,2,1] => [6,5,2,7,4,3,1] => 011111
[6,5,3,1,2,4,7] => [3,1,5,2,6,4,7] => [6,5,3,1,2,4,7] => 010110
[6,5,3,1,2,7,4] => [3,1,5,6,7,4,2] => [7,4,6,5,3,1,2] => 010111
[6,5,3,1,4,2,7] => [3,5,4,2,6,1,7] => [4,2,6,5,3,1,7] => 011110
[6,5,3,1,4,7,2] => [3,5,6,1,7,4,2] => [7,1,4,6,5,3,2] => 010111
[6,5,3,1,7,2,4] => [3,5,6,2,7,1,4] => [7,2,6,5,3,1,4] => 010111
[6,5,3,1,7,4,2] => [3,5,4,6,7,1,2] => [7,4,1,6,5,3,2] => 011111
[6,5,3,2,1,4,7] => [2,3,5,1,6,4,7] => [6,5,3,2,1,4,7] => 110110
[6,5,3,2,1,7,4] => [2,3,5,6,7,4,1] => [7,4,6,5,3,2,1] => 110111
[6,5,3,2,4,1,7] => [4,3,5,2,6,1,7] => [6,5,3,2,4,1,7] => 011110
[6,5,3,2,4,7,1] => [7,3,5,2,6,4,1] => [6,5,3,2,4,7,1] => 010111
[6,5,3,2,7,1,4] => [7,3,5,1,6,2,4] => [6,5,3,1,7,2,4] => 010111
[6,5,3,2,7,4,1] => [4,3,7,5,6,1,2] => [6,5,3,1,7,4,2] => 011111
[6,5,3,4,1,2,7] => [4,1,5,3,6,2,7] => [6,5,3,4,1,2,7] => 001110
[6,5,3,4,1,7,2] => [4,7,5,3,6,1,2] => [6,5,3,7,1,4,2] => 001111
[6,5,3,4,2,1,7] => [2,4,5,3,6,1,7] => [6,5,3,4,2,1,7] => 101110
[6,5,3,4,2,7,1] => [7,4,5,3,6,2,1] => [6,5,3,4,2,7,1] => 001111
[6,5,3,4,7,1,2] => [7,1,5,3,6,4,2] => [6,5,3,4,7,1,2] => 000111
[6,5,3,4,7,2,1] => [2,7,5,3,6,4,1] => [6,5,3,4,7,2,1] => 100111
[6,5,3,7,1,2,4] => [7,1,5,2,6,3,4] => [6,5,1,2,7,3,4] => 000111
[6,5,3,7,1,4,2] => [7,4,5,1,6,3,2] => [6,5,1,4,3,7,2] => 001111
[6,5,3,7,2,1,4] => [2,7,5,1,6,3,4] => [6,5,2,1,7,3,4] => 100111
[6,5,3,7,2,4,1] => [4,7,5,2,6,3,1] => [6,5,2,7,3,4,1] => 001111
[6,5,3,7,4,1,2] => [4,1,7,5,6,2,3] => [6,5,1,2,7,4,3] => 001111
[6,5,3,7,4,2,1] => [2,4,7,5,6,1,3] => [6,5,2,1,7,4,3] => 101111
[6,5,4,1,2,3,7] => [4,1,2,5,6,3,7] => [6,5,4,1,2,3,7] => 001110
[6,5,4,1,2,7,3] => [4,1,5,6,7,2,3] => [7,1,2,6,5,4,3] => 001111
[6,5,4,1,3,2,7] => [4,3,1,5,6,2,7] => [3,1,6,5,4,2,7] => 011110
[6,5,4,1,3,7,2] => [4,5,1,6,7,3,2] => [7,1,3,6,5,4,2] => 001111
[6,5,4,1,7,2,3] => [4,5,2,6,7,1,3] => [7,2,6,5,4,1,3] => 001111
[6,5,4,1,7,3,2] => [4,3,5,6,7,1,2] => [7,3,1,6,5,4,2] => 011111
[6,5,4,2,1,3,7] => [2,4,1,5,6,3,7] => [6,5,4,2,1,3,7] => 101110
[6,5,4,2,1,7,3] => [2,4,5,6,7,1,3] => [7,2,1,6,5,4,3] => 101111
[6,5,4,2,3,1,7] => [3,4,2,5,6,1,7] => [6,5,4,2,3,1,7] => 011110
[6,5,4,2,3,7,1] => [7,4,2,5,6,3,1] => [6,5,4,2,3,7,1] => 001111
[6,5,4,2,7,1,3] => [7,4,1,5,6,2,3] => [6,5,4,1,7,2,3] => 001111
[6,5,4,2,7,3,1] => [3,7,4,5,6,1,2] => [6,5,4,1,7,3,2] => 011111
[6,5,4,3,1,2,7] => [3,1,4,5,6,2,7] => [6,5,4,3,1,2,7] => 011110
[6,5,4,3,1,7,2] => [3,4,5,6,7,2,1] => [7,2,6,5,4,3,1] => 011111
[6,5,4,3,2,1,7] => [2,3,4,5,6,1,7] => [6,5,4,3,2,1,7] => 111110
[6,5,4,3,2,7,1] => [7,3,4,5,6,2,1] => [6,5,4,3,2,7,1] => 011111
[6,5,4,3,7,1,2] => [7,1,4,5,6,3,2] => [6,5,4,3,7,1,2] => 001111
[6,5,4,3,7,2,1] => [2,7,4,5,6,3,1] => [6,5,4,3,7,2,1] => 101111
[6,5,4,7,1,2,3] => [7,1,2,5,6,4,3] => [6,5,4,7,1,2,3] => 000111
[6,5,4,7,1,3,2] => [7,3,1,5,6,4,2] => [3,1,6,5,4,7,2] => 010111
[6,5,4,7,2,1,3] => [2,7,1,5,6,4,3] => [6,5,4,7,2,1,3] => 100111
[6,5,4,7,2,3,1] => [3,7,2,5,6,4,1] => [6,5,4,7,2,3,1] => 010111
[6,5,4,7,3,1,2] => [3,1,7,5,6,4,2] => [6,5,4,7,3,1,2] => 010111
[6,5,4,7,3,2,1] => [2,3,7,5,6,4,1] => [6,5,4,7,3,2,1] => 110111
[6,5,7,1,2,3,4] => [7,1,2,3,6,5,4] => [6,5,7,1,2,3,4] => 000011
[6,5,7,1,2,4,3] => [7,1,4,2,6,5,3] => [4,1,2,6,5,7,3] => 001011
[6,5,7,1,3,2,4] => [7,3,1,2,6,5,4] => [3,1,6,5,7,2,4] => 010011
[6,5,7,1,3,4,2] => [7,4,1,3,6,5,2] => [4,1,3,6,5,7,2] => 001011
[6,5,7,1,4,2,3] => [7,4,2,1,6,5,3] => [4,2,6,5,7,1,3] => 001011
[6,5,7,1,4,3,2] => [7,3,4,1,6,5,2] => [4,3,1,6,5,7,2] => 011011
[6,5,7,2,1,3,4] => [2,7,1,3,6,5,4] => [6,5,7,2,1,3,4] => 100011
[6,5,7,2,1,4,3] => [2,7,4,1,6,5,3] => [4,2,1,6,5,7,3] => 101011
[6,5,7,2,3,1,4] => [3,7,2,1,6,5,4] => [6,5,7,2,3,1,4] => 010011
[6,5,7,2,3,4,1] => [4,7,2,3,6,5,1] => [6,5,7,2,3,4,1] => 001011
[6,5,7,2,4,1,3] => [4,7,1,2,6,5,3] => [6,5,7,1,4,2,3] => 001011
[6,5,7,2,4,3,1] => [3,4,7,1,6,5,2] => [6,5,7,1,4,3,2] => 011011
[6,5,7,3,1,2,4] => [3,1,7,2,6,5,4] => [6,5,7,3,1,2,4] => 010011
[6,5,7,3,1,4,2] => [3,7,4,2,6,5,1] => [4,2,6,5,7,3,1] => 011011
[6,5,7,3,2,1,4] => [2,3,7,1,6,5,4] => [6,5,7,3,2,1,4] => 110011
[6,5,7,3,2,4,1] => [4,3,7,2,6,5,1] => [6,5,7,3,2,4,1] => 011011
[6,5,7,3,4,1,2] => [4,1,7,3,6,5,2] => [6,5,7,3,4,1,2] => 001011
[6,5,7,3,4,2,1] => [2,4,7,3,6,5,1] => [6,5,7,3,4,2,1] => 101011
[6,5,7,4,1,2,3] => [4,1,2,7,6,5,3] => [6,5,7,4,1,2,3] => 001011
[6,5,7,4,1,3,2] => [4,3,1,7,6,5,2] => [3,1,6,5,7,4,2] => 011011
[6,5,7,4,2,1,3] => [2,4,1,7,6,5,3] => [6,5,7,4,2,1,3] => 101011
[6,5,7,4,2,3,1] => [3,4,2,7,6,5,1] => [6,5,7,4,2,3,1] => 011011
[6,5,7,4,3,1,2] => [3,1,4,7,6,5,2] => [6,5,7,4,3,1,2] => 011011
[6,5,7,4,3,2,1] => [2,3,4,7,6,5,1] => [6,5,7,4,3,2,1] => 111011
[6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => [6,7,1,2,3,4,5] => 000001
[6,7,1,2,3,5,4] => [7,1,2,5,3,6,4] => [5,1,2,3,6,7,4] => 000101
[6,7,1,2,4,3,5] => [7,1,4,2,3,6,5] => [4,1,2,6,7,3,5] => 001001
[6,7,1,2,4,5,3] => [7,1,5,2,4,6,3] => [5,1,2,4,6,7,3] => 000101
[6,7,1,2,5,3,4] => [7,1,5,3,2,6,4] => [5,3,6,7,1,2,4] => 000101
[6,7,1,2,5,4,3] => [7,1,4,5,2,6,3] => [5,4,1,2,6,7,3] => 001101
[6,7,1,3,2,4,5] => [7,3,1,2,4,6,5] => [3,1,6,7,2,4,5] => 010001
[6,7,1,3,2,5,4] => [7,3,1,5,2,6,4] => [3,1,5,2,6,7,4] => 010101
[6,7,1,3,4,2,5] => [7,4,1,3,2,6,5] => [4,1,3,6,7,2,5] => 001001
[6,7,1,3,4,5,2] => [7,5,1,3,4,6,2] => [5,1,3,4,6,7,2] => 000101
[6,7,1,3,5,2,4] => [7,5,1,2,3,6,4] => [5,1,6,7,2,3,4] => 000101
[6,7,1,3,5,4,2] => [7,4,1,5,3,6,2] => [5,4,1,3,6,7,2] => 001101
[6,7,1,4,2,3,5] => [7,4,2,1,3,6,5] => [4,2,6,7,1,3,5] => 001001
[6,7,1,4,2,5,3] => [7,4,5,1,2,6,3] => [5,1,4,2,6,7,3] => 001101
[6,7,1,4,3,2,5] => [7,3,4,1,2,6,5] => [4,3,1,6,7,2,5] => 011001
[6,7,1,4,3,5,2] => [7,5,4,1,3,6,2] => [4,1,5,3,6,7,2] => 001101
[6,7,1,4,5,2,3] => [7,5,2,1,4,6,3] => [5,2,4,6,7,1,3] => 000101
[6,7,1,4,5,3,2] => [7,3,5,1,4,6,2] => [5,3,1,4,6,7,2] => 010101
[6,7,1,5,2,3,4] => [7,5,2,3,1,6,4] => [5,2,3,6,7,1,4] => 000101
[6,7,1,5,2,4,3] => [7,5,4,2,1,6,3] => [4,2,5,1,6,7,3] => 001101
[6,7,1,5,3,2,4] => [7,3,5,2,1,6,4] => [5,3,2,6,7,1,4] => 010101
[6,7,1,5,3,4,2] => [7,4,5,3,1,6,2] => [5,3,4,1,6,7,2] => 001101
[6,7,1,5,4,2,3] => [7,4,2,5,1,6,3] => [5,4,2,6,7,1,3] => 001101
[6,7,1,5,4,3,2] => [7,3,4,5,1,6,2] => [5,4,3,1,6,7,2] => 011101
[6,7,2,1,3,4,5] => [2,7,1,3,4,6,5] => [6,7,2,1,3,4,5] => 100001
[6,7,2,1,3,5,4] => [2,7,1,5,3,6,4] => [5,2,1,3,6,7,4] => 100101
[6,7,2,1,4,3,5] => [2,7,4,1,3,6,5] => [4,2,1,6,7,3,5] => 101001
[6,7,2,1,4,5,3] => [2,7,5,1,4,6,3] => [5,2,1,4,6,7,3] => 100101
[6,7,2,1,5,3,4] => [2,7,5,3,1,6,4] => [5,3,6,7,2,1,4] => 100101
[6,7,2,1,5,4,3] => [2,7,4,5,1,6,3] => [5,4,2,1,6,7,3] => 101101
[6,7,2,3,1,4,5] => [3,7,2,1,4,6,5] => [6,7,2,3,1,4,5] => 010001
[6,7,2,3,1,5,4] => [3,7,2,5,1,6,4] => [5,2,3,1,6,7,4] => 010101
[6,7,2,3,4,1,5] => [4,7,2,3,1,6,5] => [6,7,2,3,4,1,5] => 001001
[6,7,2,3,4,5,1] => [5,7,2,3,4,6,1] => [6,7,2,3,4,5,1] => 000101
[6,7,2,3,5,1,4] => [5,7,2,1,3,6,4] => [6,7,2,5,1,3,4] => 000101
[6,7,2,3,5,4,1] => [4,5,1,7,3,6,2] => [6,7,1,3,5,4,2] => 001101
[6,7,2,4,1,3,5] => [4,7,1,2,3,6,5] => [6,7,1,4,2,3,5] => 001001
[6,7,2,4,1,5,3] => [4,7,5,2,1,6,3] => [5,2,6,7,1,4,3] => 001101
[6,7,2,4,3,1,5] => [3,4,7,1,2,6,5] => [6,7,1,4,3,2,5] => 011001
[6,7,2,4,3,5,1] => [5,7,4,2,3,6,1] => [4,2,6,7,3,5,1] => 001101
[6,7,2,4,5,1,3] => [5,7,1,2,4,6,3] => [6,7,1,4,5,2,3] => 000101
[6,7,2,4,5,3,1] => [3,5,7,1,4,6,2] => [6,7,1,4,5,3,2] => 010101
[6,7,2,5,1,3,4] => [5,7,1,3,2,6,4] => [6,7,1,3,5,2,4] => 000101
[6,7,2,5,1,4,3] => [5,7,4,1,2,6,3] => [4,1,6,7,2,5,3] => 001101
[6,7,2,5,3,1,4] => [3,5,7,2,1,6,4] => [6,7,2,5,3,1,4] => 010101
[6,7,2,5,3,4,1] => [4,7,5,3,2,6,1] => [5,3,6,7,2,4,1] => 001101
[6,7,2,5,4,1,3] => [4,5,2,7,1,6,3] => [6,7,2,5,4,1,3] => 001101
[6,7,2,5,4,3,1] => [3,4,5,7,2,6,1] => [6,7,2,5,4,3,1] => 011101
[6,7,3,1,2,4,5] => [3,1,7,2,4,6,5] => [6,7,3,1,2,4,5] => 010001
[6,7,3,1,2,5,4] => [3,1,7,5,2,6,4] => [5,3,1,2,6,7,4] => 010101
[6,7,3,1,4,2,5] => [3,7,4,2,1,6,5] => [4,2,6,7,3,1,5] => 011001
[6,7,3,1,4,5,2] => [3,7,5,2,4,6,1] => [5,2,4,6,7,3,1] => 010101
[6,7,3,1,5,2,4] => [3,7,5,1,2,6,4] => [5,1,6,7,3,2,4] => 010101
[6,7,3,1,5,4,2] => [3,7,4,5,2,6,1] => [5,4,2,6,7,3,1] => 011101
[6,7,3,2,1,4,5] => [2,3,7,1,4,6,5] => [6,7,3,2,1,4,5] => 110001
[6,7,3,2,1,5,4] => [2,3,7,5,1,6,4] => [5,3,2,1,6,7,4] => 110101
[6,7,3,2,4,1,5] => [4,3,7,2,1,6,5] => [6,7,3,2,4,1,5] => 011001
[6,7,3,2,4,5,1] => [5,3,7,2,4,6,1] => [6,7,3,2,4,5,1] => 010101
[6,7,3,2,5,1,4] => [5,3,7,1,2,6,4] => [6,7,3,1,5,2,4] => 010101
[6,7,3,2,5,4,1] => [4,3,5,7,1,6,2] => [6,7,3,1,5,4,2] => 011101
[6,7,3,4,1,2,5] => [4,1,7,3,2,6,5] => [6,7,3,4,1,2,5] => 001001
[6,7,3,4,1,5,2] => [4,5,7,3,1,6,2] => [6,7,3,5,1,4,2] => 001101
[6,7,3,4,2,1,5] => [2,4,7,3,1,6,5] => [6,7,3,4,2,1,5] => 101001
[6,7,3,4,2,5,1] => [5,4,7,3,2,6,1] => [6,7,3,4,2,5,1] => 001101
[6,7,3,4,5,1,2] => [5,1,7,3,4,6,2] => [6,7,3,4,5,1,2] => 000101
[6,7,3,4,5,2,1] => [2,5,7,3,4,6,1] => [6,7,3,4,5,2,1] => 100101
[6,7,3,5,1,2,4] => [5,1,7,2,3,6,4] => [6,7,1,2,5,3,4] => 000101
[6,7,3,5,1,4,2] => [5,4,7,1,3,6,2] => [6,7,1,4,3,5,2] => 001101
[6,7,3,5,2,1,4] => [2,5,7,1,3,6,4] => [6,7,2,1,5,3,4] => 100101
[6,7,3,5,2,4,1] => [4,5,7,2,3,6,1] => [6,7,2,5,3,4,1] => 001101
[6,7,3,5,4,1,2] => [4,1,5,7,2,6,3] => [6,7,1,2,5,4,3] => 001101
[6,7,3,5,4,2,1] => [2,4,5,7,1,6,3] => [6,7,2,1,5,4,3] => 101101
[6,7,4,1,2,3,5] => [4,1,2,7,3,6,5] => [6,7,4,1,2,3,5] => 001001
[6,7,4,1,2,5,3] => [4,1,7,5,3,6,2] => [5,3,6,7,4,1,2] => 001101
[6,7,4,1,3,2,5] => [4,3,1,7,2,6,5] => [3,1,6,7,4,2,5] => 011001
[6,7,4,1,3,5,2] => [4,7,2,5,3,6,1] => [5,2,3,6,7,4,1] => 001101
[6,7,4,1,5,2,3] => [4,7,1,5,2,6,3] => [5,1,6,7,4,2,3] => 001101
[6,7,4,1,5,3,2] => [4,3,7,5,2,6,1] => [5,3,2,6,7,4,1] => 011101
[6,7,4,2,1,3,5] => [2,4,1,7,3,6,5] => [6,7,4,2,1,3,5] => 101001
[6,7,4,2,1,5,3] => [2,4,7,5,3,6,1] => [5,3,6,7,4,2,1] => 101101
[6,7,4,2,3,1,5] => [3,4,2,7,1,6,5] => [6,7,4,2,3,1,5] => 011001
[6,7,4,2,3,5,1] => [5,4,2,7,3,6,1] => [6,7,4,2,3,5,1] => 001101
[6,7,4,2,5,1,3] => [5,4,1,7,2,6,3] => [6,7,4,1,5,2,3] => 001101
[6,7,4,2,5,3,1] => [3,5,4,7,1,6,2] => [6,7,4,1,5,3,2] => 011101
[6,7,4,3,1,2,5] => [3,1,4,7,2,6,5] => [6,7,4,3,1,2,5] => 011001
[6,7,4,3,1,5,2] => [3,4,7,5,1,6,2] => [5,1,6,7,4,3,2] => 011101
[6,7,4,3,2,1,5] => [2,3,4,7,1,6,5] => [6,7,4,3,2,1,5] => 111001
[6,7,4,3,2,5,1] => [5,3,4,7,2,6,1] => [6,7,4,3,2,5,1] => 011101
[6,7,4,3,5,1,2] => [5,1,4,7,3,6,2] => [6,7,4,3,5,1,2] => 001101
[6,7,4,3,5,2,1] => [2,5,4,7,3,6,1] => [6,7,4,3,5,2,1] => 101101
[6,7,4,5,1,2,3] => [5,1,2,7,4,6,3] => [6,7,4,5,1,2,3] => 000101
[6,7,4,5,1,3,2] => [5,3,1,7,4,6,2] => [3,1,6,7,4,5,2] => 010101
[6,7,4,5,2,1,3] => [2,5,1,7,4,6,3] => [6,7,4,5,2,1,3] => 100101
[6,7,4,5,2,3,1] => [3,5,2,7,4,6,1] => [6,7,4,5,2,3,1] => 010101
[6,7,4,5,3,1,2] => [3,1,5,7,4,6,2] => [6,7,4,5,3,1,2] => 010101
[6,7,4,5,3,2,1] => [2,3,5,7,4,6,1] => [6,7,4,5,3,2,1] => 110101
[6,7,5,1,2,3,4] => [5,1,2,3,7,6,4] => [6,7,5,1,2,3,4] => 000101
[6,7,5,1,2,4,3] => [5,1,4,2,7,6,3] => [4,1,2,6,7,5,3] => 001101
[6,7,5,1,3,2,4] => [5,3,1,2,7,6,4] => [3,1,6,7,5,2,4] => 010101
[6,7,5,1,3,4,2] => [5,4,1,3,7,6,2] => [4,1,3,6,7,5,2] => 001101
[6,7,5,1,4,2,3] => [5,4,2,1,7,6,3] => [4,2,6,7,5,1,3] => 001101
[6,7,5,1,4,3,2] => [5,3,4,1,7,6,2] => [4,3,1,6,7,5,2] => 011101
[6,7,5,2,1,3,4] => [2,5,1,3,7,6,4] => [6,7,5,2,1,3,4] => 100101
[6,7,5,2,1,4,3] => [2,5,4,1,7,6,3] => [4,2,1,6,7,5,3] => 101101
[6,7,5,2,3,1,4] => [3,5,2,1,7,6,4] => [6,7,5,2,3,1,4] => 010101
[6,7,5,2,3,4,1] => [4,5,2,3,7,6,1] => [6,7,5,2,3,4,1] => 001101
[6,7,5,2,4,1,3] => [4,5,1,2,7,6,3] => [6,7,5,1,4,2,3] => 001101
[6,7,5,2,4,3,1] => [3,4,5,1,7,6,2] => [6,7,5,1,4,3,2] => 011101
[6,7,5,3,1,2,4] => [3,1,5,2,7,6,4] => [6,7,5,3,1,2,4] => 010101
[6,7,5,3,1,4,2] => [3,5,4,2,7,6,1] => [4,2,6,7,5,3,1] => 011101
[6,7,5,3,2,1,4] => [2,3,5,1,7,6,4] => [6,7,5,3,2,1,4] => 110101
[6,7,5,3,2,4,1] => [4,3,5,2,7,6,1] => [6,7,5,3,2,4,1] => 011101
[6,7,5,3,4,1,2] => [4,1,5,3,7,6,2] => [6,7,5,3,4,1,2] => 001101
[6,7,5,3,4,2,1] => [2,4,5,3,7,6,1] => [6,7,5,3,4,2,1] => 101101
[6,7,5,4,1,2,3] => [4,1,2,5,7,6,3] => [6,7,5,4,1,2,3] => 001101
[6,7,5,4,1,3,2] => [4,3,1,5,7,6,2] => [3,1,6,7,5,4,2] => 011101
[6,7,5,4,2,1,3] => [2,4,1,5,7,6,3] => [6,7,5,4,2,1,3] => 101101
[6,7,5,4,2,3,1] => [3,4,2,5,7,6,1] => [6,7,5,4,2,3,1] => 011101
[6,7,5,4,3,1,2] => [3,1,4,5,7,6,2] => [6,7,5,4,3,1,2] => 011101
[6,7,5,4,3,2,1] => [2,3,4,5,7,6,1] => [6,7,5,4,3,2,1] => 111101
[7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => 000001
[7,1,2,3,4,6,5] => [7,1,2,3,6,4,5] => [6,1,2,3,4,7,5] => 000011
[7,1,2,3,5,4,6] => [7,1,2,5,3,4,6] => [5,1,2,3,7,4,6] => 000101
[7,1,2,3,5,6,4] => [7,1,2,6,3,5,4] => [6,1,2,3,5,7,4] => 000011
[7,1,2,3,6,4,5] => [7,1,2,6,4,3,5] => [6,4,7,1,2,3,5] => 000011
[7,1,2,3,6,5,4] => [7,1,2,5,6,3,4] => [6,5,1,2,3,7,4] => 000111
[7,1,2,4,3,5,6] => [7,1,4,2,3,5,6] => [4,1,2,7,3,5,6] => 001001
[7,1,2,4,3,6,5] => [7,1,4,2,6,3,5] => [4,1,2,6,3,7,5] => 001011
[7,1,2,4,5,3,6] => [7,1,5,2,4,3,6] => [5,1,2,4,7,3,6] => 000101
[7,1,2,4,5,6,3] => [7,1,6,2,4,5,3] => [6,1,2,4,5,7,3] => 000011
[7,1,2,4,6,3,5] => [7,1,6,2,3,4,5] => [6,1,2,7,3,4,5] => 000011
[7,1,2,4,6,5,3] => [7,1,5,2,6,4,3] => [6,5,1,2,4,7,3] => 000111
[7,1,2,5,3,4,6] => [7,1,5,3,2,4,6] => [5,3,7,1,2,4,6] => 000101
[7,1,2,5,3,6,4] => [7,1,5,6,2,3,4] => [6,1,2,5,3,7,4] => 000111
[7,1,2,5,4,3,6] => [7,1,4,5,2,3,6] => [5,4,1,2,7,3,6] => 001101
[7,1,2,5,4,6,3] => [7,1,6,5,2,4,3] => [5,1,2,6,4,7,3] => 000111
[7,1,2,5,6,3,4] => [7,1,6,3,2,5,4] => [6,3,5,7,1,2,4] => 000011
[7,1,2,5,6,4,3] => [7,1,4,6,2,5,3] => [6,4,1,2,5,7,3] => 001011
[7,1,2,6,3,4,5] => [7,1,6,3,4,2,5] => [6,3,4,7,1,2,5] => 000011
[7,1,2,6,3,5,4] => [7,1,6,5,3,2,4] => [5,3,6,1,2,7,4] => 000111
[7,1,2,6,4,3,5] => [7,1,4,6,3,2,5] => [6,4,3,7,1,2,5] => 001011
[7,1,2,6,4,5,3] => [7,1,5,6,4,2,3] => [6,4,5,1,2,7,3] => 000111
[7,1,2,6,5,3,4] => [7,1,5,3,6,2,4] => [6,5,3,7,1,2,4] => 000111
[7,1,2,6,5,4,3] => [7,1,4,5,6,2,3] => [6,5,4,1,2,7,3] => 001111
[7,1,3,2,4,5,6] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => 010001
[7,1,3,2,4,6,5] => [7,3,1,2,6,4,5] => [3,1,6,2,4,7,5] => 010011
[7,1,3,2,5,4,6] => [7,3,1,5,2,4,6] => [3,1,5,2,7,4,6] => 010101
[7,1,3,2,5,6,4] => [7,3,1,6,2,5,4] => [3,1,6,2,5,7,4] => 010011
[7,1,3,2,6,4,5] => [7,3,1,6,4,2,5] => [3,1,6,4,7,2,5] => 010011
[7,1,3,2,6,5,4] => [7,3,1,5,6,2,4] => [3,1,6,5,2,7,4] => 010111
[7,1,3,4,2,5,6] => [7,4,1,3,2,5,6] => [4,1,3,7,2,5,6] => 001001
[7,1,3,4,2,6,5] => [7,4,1,3,6,2,5] => [4,1,3,6,2,7,5] => 001011
[7,1,3,4,5,2,6] => [7,5,1,3,4,2,6] => [5,1,3,4,7,2,6] => 000101
[7,1,3,4,5,6,2] => [7,6,1,3,4,5,2] => [6,1,3,4,5,7,2] => 000011
[7,1,3,4,6,2,5] => [7,6,1,3,2,4,5] => [6,1,3,7,2,4,5] => 000011
[7,1,3,4,6,5,2] => [7,5,1,3,6,4,2] => [6,5,1,3,4,7,2] => 000111
[7,1,3,5,2,4,6] => [7,5,1,2,3,4,6] => [5,1,7,2,3,4,6] => 000101
[7,1,3,5,2,6,4] => [7,5,1,6,3,2,4] => [6,1,3,5,2,7,4] => 000111
[7,1,3,5,4,2,6] => [7,4,1,5,3,2,6] => [5,4,1,3,7,2,6] => 001101
[7,1,3,5,4,6,2] => [7,6,1,5,3,4,2] => [5,1,3,6,4,7,2] => 000111
[7,1,3,5,6,2,4] => [7,6,1,2,3,5,4] => [6,1,5,7,2,3,4] => 000011
[7,1,3,5,6,4,2] => [7,4,1,6,3,5,2] => [6,4,1,3,5,7,2] => 001011
[7,1,3,6,2,4,5] => [7,6,1,2,4,3,5] => [6,1,4,7,2,3,5] => 000011
[7,1,3,6,2,5,4] => [7,6,1,5,2,3,4] => [5,1,6,2,3,7,4] => 000111
[7,1,3,6,4,2,5] => [7,4,1,6,2,3,5] => [6,4,1,7,2,3,5] => 001011
[7,1,3,6,4,5,2] => [7,5,1,6,4,3,2] => [6,4,5,1,3,7,2] => 000111
[7,1,3,6,5,2,4] => [7,5,1,2,6,3,4] => [6,5,1,7,2,3,4] => 000111
[7,1,3,6,5,4,2] => [7,4,1,5,6,3,2] => [6,5,4,1,3,7,2] => 001111
[7,1,4,2,3,5,6] => [7,4,2,1,3,5,6] => [4,2,7,1,3,5,6] => 001001
[7,1,4,2,3,6,5] => [7,4,2,1,6,3,5] => [4,2,6,1,3,7,5] => 001011
[7,1,4,2,5,3,6] => [7,4,5,1,2,3,6] => [5,1,4,2,7,3,6] => 001101
[7,1,4,2,5,6,3] => [7,4,6,1,2,5,3] => [6,1,4,2,5,7,3] => 001011
[7,1,4,2,6,3,5] => [7,4,6,1,3,2,5] => [6,1,4,3,7,2,5] => 001011
[7,1,4,2,6,5,3] => [7,4,5,1,6,2,3] => [6,5,1,4,2,7,3] => 001111
[7,1,4,3,2,5,6] => [7,3,4,1,2,5,6] => [4,3,1,7,2,5,6] => 011001
[7,1,4,3,2,6,5] => [7,3,4,1,6,2,5] => [4,3,1,6,2,7,5] => 011011
[7,1,4,3,5,2,6] => [7,5,4,1,3,2,6] => [4,1,5,3,7,2,6] => 001101
[7,1,4,3,5,6,2] => [7,6,4,1,3,5,2] => [4,1,6,3,5,7,2] => 001011
[7,1,4,3,6,2,5] => [7,6,4,1,2,3,5] => [4,1,6,2,7,3,5] => 001011
[7,1,4,3,6,5,2] => [7,5,4,1,6,3,2] => [4,1,6,5,3,7,2] => 001111
[7,1,4,5,2,3,6] => [7,5,2,1,4,3,6] => [5,2,4,7,1,3,6] => 000101
[7,1,4,5,2,6,3] => [7,5,6,1,4,2,3] => [6,1,4,5,2,7,3] => 000111
[7,1,4,5,3,2,6] => [7,3,5,1,4,2,6] => [5,3,1,4,7,2,6] => 010101
[7,1,4,5,3,6,2] => [7,6,5,1,4,3,2] => [5,1,4,6,3,7,2] => 000111
[7,1,4,5,6,2,3] => [7,6,2,1,4,5,3] => [6,2,4,5,7,1,3] => 000011
[7,1,4,5,6,3,2] => [7,3,6,1,4,5,2] => [6,3,1,4,5,7,2] => 010011
[7,1,4,6,2,3,5] => [7,6,2,1,3,4,5] => [6,2,7,1,3,4,5] => 000011
[7,1,4,6,2,5,3] => [7,6,5,1,2,4,3] => [5,1,6,2,4,7,3] => 000111
[7,1,4,6,3,2,5] => [7,3,6,1,2,4,5] => [6,3,1,7,2,4,5] => 010011
[7,1,4,6,3,5,2] => [7,5,6,1,3,4,2] => [6,1,5,3,4,7,2] => 000111
[7,1,4,6,5,2,3] => [7,5,2,1,6,4,3] => [6,5,2,4,7,1,3] => 000111
[7,1,4,6,5,3,2] => [7,3,5,1,6,4,2] => [6,5,3,1,4,7,2] => 010111
[7,1,5,2,3,4,6] => [7,5,2,3,1,4,6] => [5,2,3,7,1,4,6] => 000101
[7,1,5,2,3,6,4] => [7,5,2,6,1,3,4] => [6,2,5,1,3,7,4] => 000111
[7,1,5,2,4,3,6] => [7,5,4,2,1,3,6] => [4,2,5,1,7,3,6] => 001101
[7,1,5,2,4,6,3] => [7,5,6,2,1,4,3] => [6,2,5,1,4,7,3] => 000111
[7,1,5,2,6,3,4] => [7,5,6,3,1,2,4] => [6,3,5,1,7,2,4] => 000111
[7,1,5,2,6,4,3] => [7,5,4,6,1,2,3] => [6,4,1,5,2,7,3] => 001111
[7,1,5,3,2,4,6] => [7,3,5,2,1,4,6] => [5,3,2,7,1,4,6] => 010101
[7,1,5,3,2,6,4] => [7,3,5,6,1,2,4] => [6,3,1,5,2,7,4] => 010111
[7,1,5,3,4,2,6] => [7,4,5,3,1,2,6] => [5,3,4,1,7,2,6] => 001101
[7,1,5,3,4,6,2] => [7,6,5,3,1,4,2] => [5,3,6,1,4,7,2] => 000111
[7,1,5,3,6,2,4] => [7,6,5,2,1,3,4] => [5,2,6,1,7,3,4] => 000111
[7,1,5,3,6,4,2] => [7,4,6,5,1,2,3] => [5,1,6,4,2,7,3] => 001111
[7,1,5,4,2,3,6] => [7,4,2,5,1,3,6] => [5,4,2,7,1,3,6] => 001101
[7,1,5,4,2,6,3] => [7,4,5,6,1,3,2] => [6,1,5,4,3,7,2] => 001111
[7,1,5,4,3,2,6] => [7,3,4,5,1,2,6] => [5,4,3,1,7,2,6] => 011101
[7,1,5,4,3,6,2] => [7,6,4,5,1,3,2] => [5,4,1,6,3,7,2] => 001111
[7,1,5,4,6,2,3] => [7,6,2,5,1,4,3] => [5,2,6,4,7,1,3] => 000111
[7,1,5,4,6,3,2] => [7,3,6,5,1,4,2] => [5,3,1,6,4,7,2] => 010111
[7,1,5,6,2,3,4] => [7,6,2,3,1,5,4] => [6,2,3,5,7,1,4] => 000011
[7,1,5,6,2,4,3] => [7,6,4,2,1,5,3] => [4,2,6,1,5,7,3] => 001011
[7,1,5,6,3,2,4] => [7,3,6,2,1,5,4] => [6,3,2,5,7,1,4] => 010011
[7,1,5,6,3,4,2] => [7,4,6,3,1,5,2] => [6,3,4,1,5,7,2] => 001011
[7,1,5,6,4,2,3] => [7,4,2,6,1,5,3] => [6,4,2,5,7,1,3] => 001011
[7,1,5,6,4,3,2] => [7,3,4,6,1,5,2] => [6,4,3,1,5,7,2] => 011011
[7,1,6,2,3,4,5] => [7,6,2,3,4,1,5] => [6,2,3,4,7,1,5] => 000011
[7,1,6,2,3,5,4] => [7,6,2,5,3,1,4] => [5,2,3,6,1,7,4] => 000111
[7,1,6,2,4,3,5] => [7,6,4,2,3,1,5] => [4,2,6,3,7,1,5] => 001011
[7,1,6,2,4,5,3] => [7,6,5,2,4,1,3] => [5,2,4,6,1,7,3] => 000111
[7,1,6,2,5,3,4] => [7,6,5,3,2,1,4] => [5,3,6,2,7,1,4] => 000111
[7,1,6,2,5,4,3] => [7,6,4,5,2,1,3] => [5,4,2,6,1,7,3] => 001111
[7,1,6,3,2,4,5] => [7,3,6,2,4,1,5] => [6,3,2,4,7,1,5] => 010011
[7,1,6,3,2,5,4] => [7,3,6,5,2,1,4] => [5,3,2,6,1,7,4] => 010111
[7,1,6,3,4,2,5] => [7,4,6,3,2,1,5] => [6,3,4,2,7,1,5] => 001011
[7,1,6,3,4,5,2] => [7,5,6,3,4,1,2] => [6,3,4,5,1,7,2] => 000111
[7,1,6,3,5,2,4] => [7,5,6,2,3,1,4] => [6,2,5,3,7,1,4] => 000111
[7,1,6,3,5,4,2] => [7,4,5,6,2,1,3] => [6,2,5,4,1,7,3] => 001111
[7,1,6,4,2,3,5] => [7,4,2,6,3,1,5] => [6,4,2,3,7,1,5] => 001011
[7,1,6,4,2,5,3] => [7,4,6,5,3,1,2] => [5,3,6,4,1,7,2] => 001111
[7,1,6,4,3,2,5] => [7,3,4,6,2,1,5] => [6,4,3,2,7,1,5] => 011011
[7,1,6,4,3,5,2] => [7,5,4,6,3,1,2] => [6,4,3,5,1,7,2] => 001111
[7,1,6,4,5,2,3] => [7,5,2,6,4,1,3] => [6,4,5,2,7,1,3] => 000111
[7,1,6,4,5,3,2] => [7,3,5,6,4,1,2] => [6,4,5,3,1,7,2] => 010111
[7,1,6,5,2,3,4] => [7,5,2,3,6,1,4] => [6,5,2,3,7,1,4] => 000111
[7,1,6,5,2,4,3] => [7,5,4,2,6,1,3] => [4,2,6,5,1,7,3] => 001111
[7,1,6,5,3,2,4] => [7,3,5,2,6,1,4] => [6,5,3,2,7,1,4] => 010111
[7,1,6,5,3,4,2] => [7,4,5,3,6,1,2] => [6,5,3,4,1,7,2] => 001111
[7,1,6,5,4,2,3] => [7,4,2,5,6,1,3] => [6,5,4,2,7,1,3] => 001111
[7,1,6,5,4,3,2] => [7,3,4,5,6,1,2] => [6,5,4,3,1,7,2] => 011111
[7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => [7,2,1,3,4,5,6] => 100001
[7,2,1,3,4,6,5] => [2,7,1,3,6,4,5] => [6,2,1,3,4,7,5] => 100011
[7,2,1,3,5,4,6] => [2,7,1,5,3,4,6] => [5,2,1,3,7,4,6] => 100101
[7,2,1,3,5,6,4] => [2,7,1,6,3,5,4] => [6,2,1,3,5,7,4] => 100011
[7,2,1,3,6,4,5] => [2,7,1,6,4,3,5] => [6,4,7,2,1,3,5] => 100011
[7,2,1,3,6,5,4] => [2,7,1,5,6,3,4] => [6,5,2,1,3,7,4] => 100111
[7,2,1,4,3,5,6] => [2,7,4,1,3,5,6] => [4,2,1,7,3,5,6] => 101001
[7,2,1,4,3,6,5] => [2,7,4,1,6,3,5] => [4,2,1,6,3,7,5] => 101011
[7,2,1,4,5,3,6] => [2,7,5,1,4,3,6] => [5,2,1,4,7,3,6] => 100101
[7,2,1,4,5,6,3] => [2,7,6,1,4,5,3] => [6,2,1,4,5,7,3] => 100011
[7,2,1,4,6,3,5] => [2,7,6,1,3,4,5] => [6,2,1,7,3,4,5] => 100011
[7,2,1,4,6,5,3] => [2,7,5,1,6,4,3] => [6,5,2,1,4,7,3] => 100111
[7,2,1,5,3,4,6] => [2,7,5,3,1,4,6] => [5,3,7,2,1,4,6] => 100101
[7,2,1,5,3,6,4] => [2,7,5,6,1,3,4] => [6,2,1,5,3,7,4] => 100111
[7,2,1,5,4,3,6] => [2,7,4,5,1,3,6] => [5,4,2,1,7,3,6] => 101101
[7,2,1,5,4,6,3] => [2,7,6,5,1,4,3] => [5,2,1,6,4,7,3] => 100111
[7,2,1,5,6,3,4] => [2,7,6,3,1,5,4] => [6,3,5,7,2,1,4] => 100011
[7,2,1,5,6,4,3] => [2,7,4,6,1,5,3] => [6,4,2,1,5,7,3] => 101011
[7,2,1,6,3,4,5] => [2,7,6,3,4,1,5] => [6,3,4,7,2,1,5] => 100011
[7,2,1,6,3,5,4] => [2,7,6,5,3,1,4] => [5,3,6,2,1,7,4] => 100111
[7,2,1,6,4,3,5] => [2,7,4,6,3,1,5] => [6,4,3,7,2,1,5] => 101011
[7,2,1,6,4,5,3] => [2,7,5,6,4,1,3] => [6,4,5,2,1,7,3] => 100111
[7,2,1,6,5,3,4] => [2,7,5,3,6,1,4] => [6,5,3,7,2,1,4] => 100111
[7,2,1,6,5,4,3] => [2,7,4,5,6,1,3] => [6,5,4,2,1,7,3] => 101111
[7,2,3,1,4,5,6] => [3,7,2,1,4,5,6] => [7,2,3,1,4,5,6] => 010001
[7,2,3,1,4,6,5] => [3,7,2,1,6,4,5] => [6,2,3,1,4,7,5] => 010011
[7,2,3,1,5,4,6] => [3,7,2,5,1,4,6] => [5,2,3,1,7,4,6] => 010101
[7,2,3,1,5,6,4] => [3,7,2,6,1,5,4] => [6,2,3,1,5,7,4] => 010011
[7,2,3,1,6,4,5] => [3,7,2,6,4,1,5] => [6,4,7,2,3,1,5] => 010011
[7,2,3,1,6,5,4] => [3,7,2,5,6,1,4] => [6,5,2,3,1,7,4] => 010111
[7,2,3,4,1,5,6] => [4,7,2,3,1,5,6] => [7,2,3,4,1,5,6] => 001001
[7,2,3,4,1,6,5] => [4,7,2,3,6,1,5] => [6,2,3,4,1,7,5] => 001011
[7,2,3,4,5,1,6] => [5,7,2,3,4,1,6] => [7,2,3,4,5,1,6] => 000101
[7,2,3,4,5,6,1] => [6,7,2,3,4,5,1] => [7,2,3,4,5,6,1] => 000011
[7,2,3,4,6,1,5] => [6,7,2,3,1,4,5] => [7,2,3,6,1,4,5] => 000011
[7,2,3,4,6,5,1] => [5,6,1,3,7,4,2] => [7,1,3,4,6,5,2] => 000111
[7,2,3,5,1,4,6] => [5,7,2,1,3,4,6] => [7,2,5,1,3,4,6] => 000101
[7,2,3,5,1,6,4] => [5,7,2,6,3,1,4] => [6,2,3,7,1,5,4] => 000111
[7,2,3,5,4,1,6] => [4,5,1,7,3,2,6] => [7,1,3,5,4,2,6] => 001101
[7,2,3,5,4,6,1] => [6,7,2,5,3,4,1] => [5,2,3,7,4,6,1] => 000111
[7,2,3,5,6,1,4] => [6,7,2,1,3,5,4] => [7,2,5,6,1,3,4] => 000011
[7,2,3,5,6,4,1] => [4,6,1,7,3,5,2] => [7,1,3,5,6,4,2] => 001011
[7,2,3,6,1,4,5] => [6,7,2,1,4,3,5] => [7,2,4,6,1,3,5] => 000011
[7,2,3,6,1,5,4] => [6,7,2,5,1,3,4] => [5,2,7,1,3,6,4] => 000111
[7,2,3,6,4,1,5] => [4,6,1,7,2,3,5] => [7,1,6,4,2,3,5] => 001011
[7,2,3,6,4,5,1] => [5,7,2,6,4,3,1] => [6,4,7,2,3,5,1] => 000111
[7,2,3,6,5,1,4] => [5,6,1,2,7,3,4] => [7,1,6,5,2,3,4] => 000111
[7,2,3,6,5,4,1] => [4,5,2,6,7,3,1] => [7,2,3,6,5,4,1] => 001111
[7,2,4,1,3,5,6] => [4,7,1,2,3,5,6] => [7,1,4,2,3,5,6] => 001001
[7,2,4,1,3,6,5] => [4,7,1,2,6,3,5] => [6,1,4,2,3,7,5] => 001011
[7,2,4,1,5,3,6] => [4,7,5,2,1,3,6] => [5,2,7,1,4,3,6] => 001101
[7,2,4,1,5,6,3] => [4,7,6,2,1,5,3] => [6,2,5,7,1,4,3] => 001011
[7,2,4,1,6,3,5] => [4,7,6,2,3,1,5] => [6,2,7,3,4,1,5] => 001011
[7,2,4,1,6,5,3] => [4,7,5,2,6,1,3] => [6,5,2,7,1,4,3] => 001111
[7,2,4,3,1,5,6] => [3,4,7,1,2,5,6] => [7,1,4,3,2,5,6] => 011001
[7,2,4,3,1,6,5] => [3,4,7,1,6,2,5] => [6,1,4,3,2,7,5] => 011011
[7,2,4,3,5,1,6] => [5,7,4,2,3,1,6] => [4,2,7,3,5,1,6] => 001101
[7,2,4,3,5,6,1] => [6,7,4,2,3,5,1] => [4,2,7,3,5,6,1] => 001011
[7,2,4,3,6,1,5] => [6,7,4,2,1,3,5] => [4,2,7,1,6,3,5] => 001011
[7,2,4,3,6,5,1] => [5,6,4,1,7,3,2] => [4,1,7,3,6,5,2] => 001111
[7,2,4,5,1,3,6] => [5,7,1,2,4,3,6] => [7,1,4,5,2,3,6] => 000101
[7,2,4,5,1,6,3] => [5,7,6,2,4,1,3] => [6,2,4,7,1,5,3] => 000111
[7,2,4,5,3,1,6] => [3,5,7,1,4,2,6] => [7,1,4,5,3,2,6] => 010101
[7,2,4,5,3,6,1] => [6,7,5,2,4,3,1] => [5,2,4,7,3,6,1] => 000111
[7,2,4,5,6,1,3] => [6,7,1,2,4,5,3] => [7,1,4,5,6,2,3] => 000011
[7,2,4,5,6,3,1] => [3,6,7,1,4,5,2] => [7,1,4,5,6,3,2] => 010011
[7,2,4,6,1,3,5] => [6,7,1,2,3,4,5] => [7,1,6,2,3,4,5] => 000011
[7,2,4,6,1,5,3] => [6,7,5,2,1,4,3] => [5,2,7,1,4,6,3] => 000111
[7,2,4,6,3,1,5] => [3,6,7,1,2,4,5] => [7,1,6,3,2,4,5] => 010011
[7,2,4,6,3,5,1] => [5,7,6,2,3,4,1] => [6,2,7,3,4,5,1] => 000111
[7,2,4,6,5,1,3] => [5,6,2,1,7,4,3] => [7,2,4,6,5,1,3] => 000111
[7,2,4,6,5,3,1] => [3,5,6,2,7,4,1] => [7,2,4,6,5,3,1] => 010111
[7,2,5,1,3,4,6] => [5,7,1,3,2,4,6] => [7,1,3,5,2,4,6] => 000101
[7,2,5,1,3,6,4] => [5,7,1,6,2,3,4] => [6,1,7,2,3,5,4] => 000111
[7,2,5,1,4,3,6] => [5,7,4,1,2,3,6] => [4,1,7,2,5,3,6] => 001101
[7,2,5,1,4,6,3] => [5,7,6,1,2,4,3] => [6,1,7,2,4,5,3] => 000111
[7,2,5,1,6,3,4] => [5,7,6,3,2,1,4] => [6,3,7,2,5,1,4] => 000111
[7,2,5,1,6,4,3] => [5,7,4,6,2,1,3] => [6,4,2,7,1,5,3] => 001111
[7,2,5,3,1,4,6] => [3,5,7,2,1,4,6] => [7,2,5,3,1,4,6] => 010101
[7,2,5,3,1,6,4] => [3,5,7,6,1,2,4] => [6,1,7,3,2,5,4] => 010111
[7,2,5,3,4,1,6] => [4,7,5,3,2,1,6] => [5,3,7,2,4,1,6] => 001101
[7,2,5,3,4,6,1] => [6,7,5,3,2,4,1] => [5,3,7,2,4,6,1] => 000111
[7,2,5,3,6,1,4] => [6,7,5,1,2,3,4] => [5,1,7,2,6,3,4] => 000111
[7,2,5,3,6,4,1] => [4,6,7,5,3,1,2] => [5,3,7,1,6,4,2] => 001111
[7,2,5,4,1,3,6] => [4,5,2,7,1,3,6] => [7,2,5,4,1,3,6] => 001101
[7,2,5,4,1,6,3] => [4,5,7,6,3,2,1] => [6,3,7,2,5,4,1] => 001111
[7,2,5,4,3,1,6] => [3,4,5,7,2,1,6] => [7,2,5,4,3,1,6] => 011101
[7,2,5,4,3,6,1] => [6,7,4,5,2,3,1] => [5,4,2,7,3,6,1] => 001111
[7,2,5,4,6,1,3] => [6,7,1,5,2,4,3] => [5,1,7,4,6,2,3] => 000111
[7,2,5,4,6,3,1] => [3,6,7,5,1,4,2] => [5,1,7,4,6,3,2] => 010111
[7,2,5,6,1,3,4] => [6,7,1,3,2,5,4] => [7,1,3,5,6,2,4] => 000011
[7,2,5,6,1,4,3] => [6,7,4,1,2,5,3] => [4,1,7,2,5,6,3] => 001011
[7,2,5,6,3,1,4] => [3,6,7,2,1,5,4] => [7,2,5,6,3,1,4] => 010011
[7,2,5,6,3,4,1] => [4,7,6,3,2,5,1] => [6,3,5,7,2,4,1] => 001011
[7,2,5,6,4,1,3] => [4,6,2,7,1,5,3] => [7,2,5,6,4,1,3] => 001011
[7,2,5,6,4,3,1] => [3,4,6,7,2,5,1] => [7,2,5,6,4,3,1] => 011011
[7,2,6,1,3,4,5] => [6,7,1,3,4,2,5] => [7,1,3,4,6,2,5] => 000011
[7,2,6,1,3,5,4] => [6,7,1,5,3,2,4] => [5,1,3,7,2,6,4] => 000111
[7,2,6,1,4,3,5] => [6,7,4,1,3,2,5] => [4,1,7,3,6,2,5] => 001011
[7,2,6,1,4,5,3] => [6,7,5,1,4,2,3] => [5,1,4,7,2,6,3] => 000111
[7,2,6,1,5,3,4] => [6,7,5,3,1,2,4] => [5,3,7,1,6,2,4] => 000111
[7,2,6,1,5,4,3] => [6,7,4,5,1,2,3] => [5,4,1,7,2,6,3] => 001111
[7,2,6,3,1,4,5] => [3,6,7,2,4,1,5] => [7,2,4,6,3,1,5] => 010011
[7,2,6,3,1,5,4] => [3,6,7,5,2,1,4] => [5,2,7,3,1,6,4] => 010111
[7,2,6,3,4,1,5] => [4,7,6,3,1,2,5] => [6,3,7,1,4,2,5] => 001011
[7,2,6,3,4,5,1] => [5,7,6,3,4,2,1] => [6,3,4,7,2,5,1] => 000111
[7,2,6,3,5,1,4] => [5,7,6,1,3,2,4] => [6,1,7,3,5,2,4] => 000111
[7,2,6,3,5,4,1] => [4,5,7,6,1,3,2] => [6,1,7,3,5,4,2] => 001111
[7,2,6,4,1,3,5] => [4,6,2,7,3,1,5] => [7,2,3,6,4,1,5] => 001011
[7,2,6,4,1,5,3] => [4,6,7,5,2,3,1] => [5,2,7,3,6,4,1] => 001111
[7,2,6,4,3,1,5] => [3,4,6,7,1,2,5] => [7,1,6,4,3,2,5] => 011011
[7,2,6,4,3,5,1] => [5,7,4,6,3,2,1] => [6,4,3,7,2,5,1] => 001111
[7,2,6,4,5,1,3] => [5,7,1,6,4,2,3] => [6,4,7,1,5,2,3] => 000111
[7,2,6,4,5,3,1] => [3,5,7,6,4,1,2] => [6,4,7,1,5,3,2] => 010111
[7,2,6,5,1,3,4] => [5,6,2,3,7,1,4] => [7,2,3,6,5,1,4] => 000111
[7,2,6,5,1,4,3] => [5,6,4,2,7,1,3] => [4,2,7,1,6,5,3] => 001111
[7,2,6,5,3,1,4] => [3,5,6,1,7,2,4] => [7,1,6,5,3,2,4] => 010111
[7,2,6,5,3,4,1] => [4,7,5,3,6,2,1] => [6,5,3,7,2,4,1] => 001111
[7,2,6,5,4,1,3] => [4,5,1,6,7,2,3] => [7,1,6,5,4,2,3] => 001111
[7,2,6,5,4,3,1] => [3,4,5,6,7,1,2] => [7,1,6,5,4,3,2] => 011111
[7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => [7,3,1,2,4,5,6] => 010001
[7,3,1,2,4,6,5] => [3,1,7,2,6,4,5] => [6,3,1,2,4,7,5] => 010011
[7,3,1,2,5,4,6] => [3,1,7,5,2,4,6] => [5,3,1,2,7,4,6] => 010101
[7,3,1,2,5,6,4] => [3,1,7,6,2,5,4] => [6,3,1,2,5,7,4] => 010011
[7,3,1,2,6,4,5] => [3,1,7,6,4,2,5] => [6,4,7,3,1,2,5] => 010011
[7,3,1,2,6,5,4] => [3,1,7,5,6,2,4] => [6,5,3,1,2,7,4] => 010111
[7,3,1,4,2,5,6] => [3,7,4,2,1,5,6] => [4,2,7,3,1,5,6] => 011001
[7,3,1,4,2,6,5] => [3,7,4,2,6,1,5] => [4,2,6,3,1,7,5] => 011011
[7,3,1,4,5,2,6] => [3,7,5,2,4,1,6] => [5,2,4,7,3,1,6] => 010101
[7,3,1,4,5,6,2] => [3,7,6,2,4,5,1] => [6,2,4,5,7,3,1] => 010011
[7,3,1,4,6,2,5] => [3,7,6,2,1,4,5] => [6,2,7,3,1,4,5] => 010011
[7,3,1,4,6,5,2] => [3,7,5,2,6,4,1] => [6,5,2,4,7,3,1] => 010111
[7,3,1,5,2,4,6] => [3,7,5,1,2,4,6] => [5,1,7,3,2,4,6] => 010101
[7,3,1,5,2,6,4] => [3,7,5,6,2,1,4] => [6,2,5,3,1,7,4] => 010111
[7,3,1,5,4,2,6] => [3,7,4,5,2,1,6] => [5,4,2,7,3,1,6] => 011101
[7,3,1,5,4,6,2] => [3,7,6,5,2,4,1] => [5,2,6,4,7,3,1] => 010111
[7,3,1,5,6,2,4] => [3,7,6,1,2,5,4] => [6,1,5,7,3,2,4] => 010011
[7,3,1,5,6,4,2] => [3,7,4,6,2,5,1] => [6,4,2,5,7,3,1] => 011011
[7,3,1,6,2,4,5] => [3,7,6,1,4,2,5] => [6,1,4,7,3,2,5] => 010011
[7,3,1,6,2,5,4] => [3,7,6,5,1,2,4] => [5,1,6,3,2,7,4] => 010111
[7,3,1,6,4,2,5] => [3,7,4,6,1,2,5] => [6,4,1,7,3,2,5] => 011011
[7,3,1,6,4,5,2] => [3,7,5,6,4,2,1] => [6,4,5,2,7,3,1] => 010111
[7,3,1,6,5,2,4] => [3,7,5,1,6,2,4] => [6,5,1,7,3,2,4] => 010111
[7,3,1,6,5,4,2] => [3,7,4,5,6,2,1] => [6,5,4,2,7,3,1] => 011111
[7,3,2,1,4,5,6] => [2,3,7,1,4,5,6] => [7,3,2,1,4,5,6] => 110001
[7,3,2,1,4,6,5] => [2,3,7,1,6,4,5] => [6,3,2,1,4,7,5] => 110011
[7,3,2,1,5,4,6] => [2,3,7,5,1,4,6] => [5,3,2,1,7,4,6] => 110101
[7,3,2,1,5,6,4] => [2,3,7,6,1,5,4] => [6,3,2,1,5,7,4] => 110011
[7,3,2,1,6,4,5] => [2,3,7,6,4,1,5] => [6,4,7,3,2,1,5] => 110011
[7,3,2,1,6,5,4] => [2,3,7,5,6,1,4] => [6,5,3,2,1,7,4] => 110111
[7,3,2,4,1,5,6] => [4,3,7,2,1,5,6] => [7,3,2,4,1,5,6] => 011001
[7,3,2,4,1,6,5] => [4,3,7,2,6,1,5] => [6,3,2,4,1,7,5] => 011011
[7,3,2,4,5,1,6] => [5,3,7,2,4,1,6] => [7,3,2,4,5,1,6] => 010101
[7,3,2,4,5,6,1] => [6,3,7,2,4,5,1] => [7,3,2,4,5,6,1] => 010011
[7,3,2,4,6,1,5] => [6,3,7,2,1,4,5] => [7,3,2,6,1,4,5] => 010011
[7,3,2,4,6,5,1] => [5,3,6,1,7,4,2] => [7,3,1,4,6,5,2] => 010111
[7,3,2,5,1,4,6] => [5,3,7,1,2,4,6] => [7,3,1,5,2,4,6] => 010101
[7,3,2,5,1,6,4] => [5,3,7,6,2,1,4] => [6,3,2,7,1,5,4] => 010111
[7,3,2,5,4,1,6] => [4,3,5,7,1,2,6] => [7,3,1,5,4,2,6] => 011101
[7,3,2,5,4,6,1] => [6,3,7,5,2,4,1] => [5,3,2,7,4,6,1] => 010111
[7,3,2,5,6,1,4] => [6,3,7,1,2,5,4] => [7,3,1,5,6,2,4] => 010011
[7,3,2,5,6,4,1] => [4,3,6,7,1,5,2] => [7,3,1,5,6,4,2] => 011011
[7,3,2,6,1,4,5] => [6,3,7,1,4,2,5] => [7,3,1,4,6,2,5] => 010011
[7,3,2,6,1,5,4] => [6,3,7,5,1,2,4] => [5,3,1,7,2,6,4] => 010111
[7,3,2,6,4,1,5] => [4,3,6,7,2,1,5] => [7,3,2,6,4,1,5] => 011011
[7,3,2,6,4,5,1] => [5,3,7,6,4,2,1] => [6,4,7,3,2,5,1] => 010111
[7,3,2,6,5,1,4] => [5,3,6,2,7,1,4] => [7,3,2,6,5,1,4] => 010111
[7,3,2,6,5,4,1] => [4,3,5,6,7,2,1] => [7,3,2,6,5,4,1] => 011111
[7,3,4,1,2,5,6] => [4,1,7,3,2,5,6] => [7,3,4,1,2,5,6] => 001001
[7,3,4,1,2,6,5] => [4,1,7,3,6,2,5] => [6,3,4,1,2,7,5] => 001011
[7,3,4,1,5,2,6] => [4,5,7,3,1,2,6] => [7,3,5,1,4,2,6] => 001101
[7,3,4,1,5,6,2] => [4,6,7,3,1,5,2] => [7,3,5,6,1,4,2] => 001011
[7,3,4,1,6,2,5] => [4,6,7,3,2,1,5] => [7,3,6,2,4,1,5] => 001011
[7,3,4,1,6,5,2] => [4,5,6,2,7,1,3] => [7,2,6,5,1,4,3] => 001111
[7,3,4,2,1,5,6] => [2,4,7,3,1,5,6] => [7,3,4,2,1,5,6] => 101001
[7,3,4,2,1,6,5] => [2,4,7,3,6,1,5] => [6,3,4,2,1,7,5] => 101011
[7,3,4,2,5,1,6] => [5,4,7,3,2,1,6] => [7,3,4,2,5,1,6] => 001101
[7,3,4,2,5,6,1] => [6,4,7,3,2,5,1] => [7,3,4,2,5,6,1] => 001011
[7,3,4,2,6,1,5] => [6,4,7,3,1,2,5] => [7,3,4,1,6,2,5] => 001011
[7,3,4,2,6,5,1] => [5,4,6,1,7,2,3] => [7,1,4,2,6,5,3] => 001111
[7,3,4,5,1,2,6] => [5,1,7,3,4,2,6] => [7,3,4,5,1,2,6] => 000101
[7,3,4,5,1,6,2] => [5,6,7,3,4,1,2] => [7,3,4,6,1,5,2] => 000111
[7,3,4,5,2,1,6] => [2,5,7,3,4,1,6] => [7,3,4,5,2,1,6] => 100101
[7,3,4,5,2,6,1] => [6,5,7,3,4,2,1] => [7,3,4,5,2,6,1] => 000111
[7,3,4,5,6,1,2] => [6,1,7,3,4,5,2] => [7,3,4,5,6,1,2] => 000011
[7,3,4,5,6,2,1] => [2,6,7,3,4,5,1] => [7,3,4,5,6,2,1] => 100011
[7,3,4,6,1,2,5] => [6,1,7,3,2,4,5] => [7,3,6,1,2,4,5] => 000011
[7,3,4,6,1,5,2] => [6,5,7,3,1,4,2] => [7,3,5,1,4,6,2] => 000111
[7,3,4,6,2,1,5] => [2,6,7,3,1,4,5] => [7,3,6,2,1,4,5] => 100011
[7,3,4,6,2,5,1] => [5,6,7,3,2,4,1] => [7,3,6,2,4,5,1] => 000111
[7,3,4,6,5,1,2] => [5,1,6,2,7,4,3] => [7,1,2,4,6,5,3] => 000111
[7,3,4,6,5,2,1] => [2,5,6,1,7,4,3] => [7,2,1,4,6,5,3] => 100111
[7,3,5,1,2,4,6] => [5,1,7,2,3,4,6] => [7,1,2,5,3,4,6] => 000101
[7,3,5,1,2,6,4] => [5,1,7,6,3,2,4] => [6,3,7,1,2,5,4] => 000111
[7,3,5,1,4,2,6] => [5,4,7,1,3,2,6] => [7,1,4,3,5,2,6] => 001101
[7,3,5,1,4,6,2] => [5,6,7,1,3,4,2] => [7,1,6,3,4,5,2] => 000111
[7,3,5,1,6,2,4] => [5,6,7,2,3,1,4] => [7,2,6,3,5,1,4] => 000111
[7,3,5,1,6,4,2] => [5,4,6,7,2,1,3] => [7,2,6,4,1,5,3] => 001111
[7,3,5,2,1,4,6] => [2,5,7,1,3,4,6] => [7,2,1,5,3,4,6] => 100101
[7,3,5,2,1,6,4] => [2,5,7,6,3,1,4] => [6,3,7,2,1,5,4] => 100111
[7,3,5,2,4,1,6] => [4,5,7,2,3,1,6] => [7,2,5,3,4,1,6] => 001101
[7,3,5,2,4,6,1] => [6,5,7,2,3,4,1] => [7,2,5,3,4,6,1] => 000111
[7,3,5,2,6,1,4] => [6,5,7,1,3,2,4] => [7,1,5,3,6,2,4] => 000111
[7,3,5,2,6,4,1] => [4,6,5,7,1,3,2] => [7,1,5,3,6,4,2] => 001111
[7,3,5,4,1,2,6] => [4,1,5,7,2,3,6] => [7,1,2,5,4,3,6] => 001101
[7,3,5,4,1,6,2] => [4,5,6,7,1,2,3] => [7,1,6,2,5,4,3] => 001111
[7,3,5,4,2,1,6] => [2,4,5,7,1,3,6] => [7,2,1,5,4,3,6] => 101101
[7,3,5,4,2,6,1] => [6,4,5,7,2,3,1] => [7,2,5,4,3,6,1] => 001111
[7,3,5,4,6,1,2] => [6,1,7,5,3,4,2] => [5,3,7,4,6,1,2] => 000111
[7,3,5,4,6,2,1] => [2,6,7,5,3,4,1] => [5,3,7,4,6,2,1] => 100111
[7,3,5,6,1,2,4] => [6,1,7,2,3,5,4] => [7,1,2,5,6,3,4] => 000011
[7,3,5,6,1,4,2] => [6,4,7,1,3,5,2] => [7,1,4,3,5,6,2] => 001011
[7,3,5,6,2,1,4] => [2,6,7,1,3,5,4] => [7,2,1,5,6,3,4] => 100011
[7,3,5,6,2,4,1] => [4,6,7,2,3,5,1] => [7,2,5,6,3,4,1] => 001011
[7,3,5,6,4,1,2] => [4,1,6,7,2,5,3] => [7,1,2,5,6,4,3] => 001011
[7,3,5,6,4,2,1] => [2,4,6,7,1,5,3] => [7,2,1,5,6,4,3] => 101011
[7,3,6,1,2,4,5] => [6,1,7,2,4,3,5] => [7,1,2,4,6,3,5] => 000011
[7,3,6,1,2,5,4] => [6,1,7,5,2,3,4] => [5,1,2,7,3,6,4] => 000111
[7,3,6,1,4,2,5] => [6,4,7,1,2,3,5] => [7,1,4,2,6,3,5] => 001011
[7,3,6,1,4,5,2] => [6,5,7,1,4,3,2] => [7,1,4,5,3,6,2] => 000111
[7,3,6,1,5,2,4] => [6,5,7,2,1,3,4] => [7,2,5,1,6,3,4] => 000111
[7,3,6,1,5,4,2] => [6,4,5,7,1,2,3] => [7,1,5,4,2,6,3] => 001111
[7,3,6,2,1,4,5] => [2,6,7,1,4,3,5] => [7,2,1,4,6,3,5] => 100011
[7,3,6,2,1,5,4] => [2,6,7,5,1,3,4] => [5,2,1,7,3,6,4] => 100111
[7,3,6,2,4,1,5] => [4,6,7,2,1,3,5] => [7,2,6,1,4,3,5] => 001011
[7,3,6,2,4,5,1] => [5,6,7,2,4,3,1] => [7,2,4,6,3,5,1] => 000111
[7,3,6,2,5,1,4] => [5,6,7,1,2,3,4] => [7,1,6,2,5,3,4] => 000111
[7,3,6,2,5,4,1] => [4,5,6,7,3,1,2] => [7,3,6,1,5,4,2] => 001111
[7,3,6,4,1,2,5] => [4,1,6,7,3,2,5] => [7,3,6,4,1,2,5] => 001011
[7,3,6,4,1,5,2] => [4,6,5,7,2,1,3] => [7,2,5,1,6,4,3] => 001111
[7,3,6,4,2,1,5] => [2,4,6,7,3,1,5] => [7,3,6,4,2,1,5] => 101011
[7,3,6,4,2,5,1] => [5,4,6,7,3,2,1] => [7,3,6,4,2,5,1] => 001111
[7,3,6,4,5,1,2] => [5,1,7,6,4,3,2] => [6,4,7,3,5,1,2] => 000111
[7,3,6,4,5,2,1] => [2,5,7,6,4,3,1] => [6,4,7,3,5,2,1] => 100111
[7,3,6,5,1,2,4] => [5,1,6,3,7,2,4] => [7,3,6,5,1,2,4] => 000111
[7,3,6,5,1,4,2] => [5,4,6,3,7,1,2] => [7,3,4,1,6,5,2] => 001111
[7,3,6,5,2,1,4] => [2,5,6,3,7,1,4] => [7,3,6,5,2,1,4] => 100111
[7,3,6,5,2,4,1] => [4,5,6,3,7,2,1] => [7,3,6,5,2,4,1] => 001111
[7,3,6,5,4,1,2] => [4,1,5,6,7,3,2] => [7,3,6,5,4,1,2] => 001111
[7,3,6,5,4,2,1] => [2,4,5,6,7,3,1] => [7,3,6,5,4,2,1] => 101111
[7,4,1,2,3,5,6] => [4,1,2,7,3,5,6] => [7,4,1,2,3,5,6] => 001001
[7,4,1,2,3,6,5] => [4,1,2,7,6,3,5] => [6,4,1,2,3,7,5] => 001011
[7,4,1,2,5,3,6] => [4,1,7,5,3,2,6] => [5,3,7,4,1,2,6] => 001101
[7,4,1,2,5,6,3] => [4,1,7,6,3,5,2] => [6,3,5,7,4,1,2] => 001011
[7,4,1,2,6,3,5] => [4,1,7,6,2,3,5] => [6,1,2,7,4,3,5] => 001011
[7,4,1,2,6,5,3] => [4,1,7,5,6,3,2] => [6,5,3,7,4,1,2] => 001111
[7,4,1,3,2,5,6] => [4,3,1,7,2,5,6] => [3,1,7,4,2,5,6] => 011001
[7,4,1,3,2,6,5] => [4,3,1,7,6,2,5] => [3,1,6,4,2,7,5] => 011011
[7,4,1,3,5,2,6] => [4,7,2,5,3,1,6] => [5,2,3,7,4,1,6] => 001101
[7,4,1,3,5,6,2] => [4,7,2,6,3,5,1] => [6,2,3,5,7,4,1] => 001011
[7,4,1,3,6,2,5] => [4,7,2,6,1,3,5] => [6,2,7,4,1,3,5] => 001011
[7,4,1,3,6,5,2] => [4,7,2,5,6,3,1] => [6,5,2,3,7,4,1] => 001111
[7,4,1,5,2,3,6] => [4,7,1,5,2,3,6] => [5,1,7,4,2,3,6] => 001101
[7,4,1,5,2,6,3] => [4,7,5,6,2,3,1] => [6,2,5,3,7,4,1] => 001111
[7,4,1,5,3,2,6] => [4,3,7,5,2,1,6] => [5,3,2,7,4,1,6] => 011101
[7,4,1,5,3,6,2] => [4,7,6,5,2,1,3] => [5,2,6,1,7,4,3] => 001111
[7,4,1,5,6,2,3] => [4,7,1,6,2,5,3] => [6,1,5,7,4,2,3] => 001011
[7,4,1,5,6,3,2] => [4,3,7,6,2,5,1] => [6,3,2,5,7,4,1] => 011011
[7,4,1,6,2,3,5] => [4,7,1,6,3,2,5] => [6,1,3,7,4,2,5] => 001011
[7,4,1,6,2,5,3] => [4,7,6,5,3,2,1] => [5,3,6,2,7,4,1] => 001111
[7,4,1,6,3,2,5] => [4,3,7,6,1,2,5] => [6,3,1,7,4,2,5] => 011011
[7,4,1,6,3,5,2] => [4,7,5,6,1,2,3] => [6,1,5,2,7,4,3] => 001111
[7,4,1,6,5,2,3] => [4,7,1,5,6,2,3] => [6,5,1,7,4,2,3] => 001111
[7,4,1,6,5,3,2] => [4,3,7,5,6,2,1] => [6,5,3,2,7,4,1] => 011111
[7,4,2,1,3,5,6] => [2,4,1,7,3,5,6] => [7,4,2,1,3,5,6] => 101001
[7,4,2,1,3,6,5] => [2,4,1,7,6,3,5] => [6,4,2,1,3,7,5] => 101011
[7,4,2,1,5,3,6] => [2,4,7,5,3,1,6] => [5,3,7,4,2,1,6] => 101101
[7,4,2,1,5,6,3] => [2,4,7,6,3,5,1] => [6,3,5,7,4,2,1] => 101011
[7,4,2,1,6,3,5] => [2,4,7,6,1,3,5] => [6,2,1,7,4,3,5] => 101011
[7,4,2,1,6,5,3] => [2,4,7,5,6,3,1] => [6,5,3,7,4,2,1] => 101111
[7,4,2,3,1,5,6] => [3,4,2,7,1,5,6] => [7,4,2,3,1,5,6] => 011001
[7,4,2,3,1,6,5] => [3,4,2,7,6,1,5] => [6,4,2,3,1,7,5] => 011011
[7,4,2,3,5,1,6] => [5,4,2,7,3,1,6] => [7,4,2,3,5,1,6] => 001101
[7,4,2,3,5,6,1] => [6,4,2,7,3,5,1] => [7,4,2,3,5,6,1] => 001011
[7,4,2,3,6,1,5] => [6,4,2,7,1,3,5] => [7,4,2,6,1,3,5] => 001011
[7,4,2,3,6,5,1] => [5,4,1,6,7,3,2] => [7,4,1,3,6,5,2] => 001111
[7,4,2,5,1,3,6] => [5,4,1,7,2,3,6] => [7,4,1,5,2,3,6] => 001101
[7,4,2,5,1,6,3] => [5,4,7,6,3,1,2] => [6,3,7,4,1,5,2] => 001111
[7,4,2,5,3,1,6] => [3,5,4,7,1,2,6] => [7,4,1,5,3,2,6] => 011101
[7,4,2,5,3,6,1] => [6,4,7,5,3,2,1] => [5,3,7,4,2,6,1] => 001111
[7,4,2,5,6,1,3] => [6,4,1,7,2,5,3] => [7,4,1,5,6,2,3] => 001011
[7,4,2,5,6,3,1] => [3,6,4,7,1,5,2] => [7,4,1,5,6,3,2] => 011011
[7,4,2,6,1,3,5] => [6,4,1,7,3,2,5] => [7,4,1,3,6,2,5] => 001011
[7,4,2,6,1,5,3] => [6,4,7,5,1,3,2] => [5,1,7,4,3,6,2] => 001111
[7,4,2,6,3,1,5] => [3,6,4,7,2,1,5] => [7,4,2,6,3,1,5] => 011011
[7,4,2,6,3,5,1] => [5,4,7,6,2,3,1] => [6,2,7,4,3,5,1] => 001111
[7,4,2,6,5,1,3] => [5,4,2,6,7,1,3] => [7,4,2,6,5,1,3] => 001111
[7,4,2,6,5,3,1] => [3,5,4,6,7,2,1] => [7,4,2,6,5,3,1] => 011111
[7,4,3,1,2,5,6] => [3,1,4,7,2,5,6] => [7,4,3,1,2,5,6] => 011001
[7,4,3,1,2,6,5] => [3,1,4,7,6,2,5] => [6,4,3,1,2,7,5] => 011011
[7,4,3,1,5,2,6] => [3,4,7,5,1,2,6] => [5,1,7,4,3,2,6] => 011101
[7,4,3,1,5,6,2] => [3,4,7,6,1,5,2] => [6,1,5,7,4,3,2] => 011011
[7,4,3,1,6,2,5] => [3,4,7,6,2,1,5] => [6,2,7,4,3,1,5] => 011011
[7,4,3,1,6,5,2] => [3,4,7,5,6,1,2] => [6,5,1,7,4,3,2] => 011111
[7,4,3,2,1,5,6] => [2,3,4,7,1,5,6] => [7,4,3,2,1,5,6] => 111001
[7,4,3,2,1,6,5] => [2,3,4,7,6,1,5] => [6,4,3,2,1,7,5] => 111011
[7,4,3,2,5,1,6] => [5,3,4,7,2,1,6] => [7,4,3,2,5,1,6] => 011101
[7,4,3,2,5,6,1] => [6,3,4,7,2,5,1] => [7,4,3,2,5,6,1] => 011011
[7,4,3,2,6,1,5] => [6,3,4,7,1,2,5] => [7,4,3,1,6,2,5] => 011011
[7,4,3,2,6,5,1] => [5,3,4,6,7,1,2] => [7,4,3,1,6,5,2] => 011111
[7,4,3,5,1,2,6] => [5,1,4,7,3,2,6] => [7,4,3,5,1,2,6] => 001101
[7,4,3,5,1,6,2] => [5,6,4,7,3,1,2] => [7,4,3,6,1,5,2] => 001111
[7,4,3,5,2,1,6] => [2,5,4,7,3,1,6] => [7,4,3,5,2,1,6] => 101101
[7,4,3,5,2,6,1] => [6,5,4,7,3,2,1] => [7,4,3,5,2,6,1] => 001111
[7,4,3,5,6,1,2] => [6,1,4,7,3,5,2] => [7,4,3,5,6,1,2] => 001011
[7,4,3,5,6,2,1] => [2,6,4,7,3,5,1] => [7,4,3,5,6,2,1] => 101011
[7,4,3,6,1,2,5] => [6,1,4,7,2,3,5] => [7,4,1,2,6,3,5] => 001011
[7,4,3,6,1,5,2] => [6,5,4,7,1,3,2] => [7,4,1,5,3,6,2] => 001111
[7,4,3,6,2,1,5] => [2,6,4,7,1,3,5] => [7,4,2,1,6,3,5] => 101011
[7,4,3,6,2,5,1] => [5,6,4,7,2,3,1] => [7,4,2,6,3,5,1] => 001111
[7,4,3,6,5,1,2] => [5,1,4,6,7,2,3] => [7,4,1,2,6,5,3] => 001111
[7,4,3,6,5,2,1] => [2,5,4,6,7,1,3] => [7,4,2,1,6,5,3] => 101111
[7,4,5,1,2,3,6] => [5,1,2,7,4,3,6] => [7,4,5,1,2,3,6] => 000101
[7,4,5,1,2,6,3] => [5,1,6,7,4,2,3] => [7,4,6,1,2,5,3] => 000111
[7,4,5,1,3,2,6] => [5,3,1,7,4,2,6] => [3,1,7,4,5,2,6] => 010101
[7,4,5,1,3,6,2] => [5,6,1,7,4,3,2] => [7,4,6,1,3,5,2] => 000111
[7,4,5,1,6,2,3] => [5,6,2,7,4,1,3] => [7,4,6,2,5,1,3] => 000111
[7,4,5,1,6,3,2] => [5,3,6,7,4,1,2] => [7,4,6,3,1,5,2] => 010111
[7,4,5,2,1,3,6] => [2,5,1,7,4,3,6] => [7,4,5,2,1,3,6] => 100101
[7,4,5,2,1,6,3] => [2,5,6,7,4,1,3] => [7,4,6,2,1,5,3] => 100111
[7,4,5,2,3,1,6] => [3,5,2,7,4,1,6] => [7,4,5,2,3,1,6] => 010101
[7,4,5,2,3,6,1] => [6,5,2,7,4,3,1] => [7,4,5,2,3,6,1] => 000111
[7,4,5,2,6,1,3] => [6,5,1,7,4,2,3] => [7,4,5,1,6,2,3] => 000111
[7,4,5,2,6,3,1] => [3,6,5,7,4,1,2] => [7,4,5,1,6,3,2] => 010111
[7,4,5,3,1,2,6] => [3,1,5,7,4,2,6] => [7,4,5,3,1,2,6] => 010101
[7,4,5,3,1,6,2] => [3,5,6,7,4,2,1] => [7,4,6,2,5,3,1] => 010111
[7,4,5,3,2,1,6] => [2,3,5,7,4,1,6] => [7,4,5,3,2,1,6] => 110101
[7,4,5,3,2,6,1] => [6,3,5,7,4,2,1] => [7,4,5,3,2,6,1] => 010111
[7,4,5,3,6,1,2] => [6,1,5,7,4,3,2] => [7,4,5,3,6,1,2] => 000111
[7,4,5,3,6,2,1] => [2,6,5,7,4,3,1] => [7,4,5,3,6,2,1] => 100111
[7,4,5,6,1,2,3] => [6,1,2,7,4,5,3] => [7,4,5,6,1,2,3] => 000011
[7,4,5,6,1,3,2] => [6,3,1,7,4,5,2] => [3,1,7,4,5,6,2] => 010011
[7,4,5,6,2,1,3] => [2,6,1,7,4,5,3] => [7,4,5,6,2,1,3] => 100011
[7,4,5,6,2,3,1] => [3,6,2,7,4,5,1] => [7,4,5,6,2,3,1] => 010011
[7,4,5,6,3,1,2] => [3,1,6,7,4,5,2] => [7,4,5,6,3,1,2] => 010011
[7,4,5,6,3,2,1] => [2,3,6,7,4,5,1] => [7,4,5,6,3,2,1] => 110011
[7,4,6,1,2,3,5] => [6,1,2,7,3,4,5] => [7,1,2,3,6,4,5] => 000011
[7,4,6,1,2,5,3] => [6,1,5,7,2,4,3] => [7,1,2,5,4,6,3] => 000111
[7,4,6,1,3,2,5] => [6,3,1,7,2,4,5] => [3,1,7,2,6,4,5] => 010011
[7,4,6,1,3,5,2] => [6,5,1,7,3,4,2] => [7,1,3,5,4,6,2] => 000111
[7,4,6,1,5,2,3] => [6,5,2,7,1,4,3] => [7,2,5,4,6,1,3] => 000111
[7,4,6,1,5,3,2] => [6,3,5,7,1,4,2] => [7,3,1,5,4,6,2] => 010111
[7,4,6,2,1,3,5] => [2,6,1,7,3,4,5] => [7,2,1,3,6,4,5] => 100011
[7,4,6,2,1,5,3] => [2,6,5,7,1,4,3] => [7,2,1,5,4,6,3] => 100111
[7,4,6,2,3,1,5] => [3,6,2,7,1,4,5] => [7,2,3,1,6,4,5] => 010011
[7,4,6,2,3,5,1] => [5,6,2,7,3,4,1] => [7,2,3,6,4,5,1] => 000111
[7,4,6,2,5,1,3] => [5,6,1,7,2,4,3] => [7,1,6,4,5,2,3] => 000111
[7,4,6,2,5,3,1] => [3,5,6,7,1,4,2] => [7,1,6,4,5,3,2] => 010111
[7,4,6,3,1,2,5] => [3,1,6,7,2,4,5] => [7,3,1,2,6,4,5] => 010011
[7,4,6,3,1,5,2] => [3,6,5,7,2,4,1] => [7,2,5,4,6,3,1] => 010111
[7,4,6,3,2,1,5] => [2,3,6,7,1,4,5] => [7,3,2,1,6,4,5] => 110011
[7,4,6,3,2,5,1] => [5,3,6,7,2,4,1] => [7,3,2,6,4,5,1] => 010111
[7,4,6,3,5,1,2] => [5,1,6,7,3,4,2] => [7,3,6,4,5,1,2] => 000111
[7,4,6,3,5,2,1] => [2,5,6,7,3,4,1] => [7,3,6,4,5,2,1] => 100111
[7,4,6,5,1,2,3] => [5,1,2,6,7,3,4] => [7,1,2,3,6,5,4] => 000111
[7,4,6,5,1,3,2] => [5,3,1,6,7,2,4] => [3,1,7,2,6,5,4] => 010111
[7,4,6,5,2,1,3] => [2,5,1,6,7,3,4] => [7,2,1,3,6,5,4] => 100111
[7,4,6,5,2,3,1] => [3,5,2,6,7,1,4] => [7,2,3,1,6,5,4] => 010111
[7,4,6,5,3,1,2] => [3,1,5,6,7,2,4] => [7,3,1,2,6,5,4] => 010111
[7,4,6,5,3,2,1] => [2,3,5,6,7,1,4] => [7,3,2,1,6,5,4] => 110111
[7,5,1,2,3,4,6] => [5,1,2,3,7,4,6] => [7,5,1,2,3,4,6] => 000101
[7,5,1,2,3,6,4] => [5,1,2,7,6,4,3] => [6,4,7,5,1,2,3] => 000111
[7,5,1,2,4,3,6] => [5,1,4,2,7,3,6] => [4,1,2,7,5,3,6] => 001101
[7,5,1,2,4,6,3] => [5,1,7,3,6,4,2] => [6,3,4,7,5,1,2] => 000111
[7,5,1,2,6,3,4] => [5,1,7,2,6,3,4] => [6,1,2,7,5,3,4] => 000111
[7,5,1,2,6,4,3] => [5,1,4,7,6,3,2] => [6,4,3,7,5,1,2] => 001111
[7,5,1,3,2,4,6] => [5,3,1,2,7,4,6] => [3,1,7,5,2,4,6] => 010101
[7,5,1,3,2,6,4] => [5,3,1,7,6,4,2] => [3,1,6,4,7,5,2] => 010111
[7,5,1,3,4,2,6] => [5,4,1,3,7,2,6] => [4,1,3,7,5,2,6] => 001101
[7,5,1,3,4,6,2] => [5,7,2,3,6,4,1] => [6,2,3,4,7,5,1] => 000111
[7,5,1,3,6,2,4] => [5,7,2,1,6,3,4] => [6,2,7,5,1,3,4] => 000111
[7,5,1,3,6,4,2] => [5,4,2,7,6,3,1] => [6,4,2,3,7,5,1] => 001111
[7,5,1,4,2,3,6] => [5,4,2,1,7,3,6] => [4,2,7,5,1,3,6] => 001101
[7,5,1,4,2,6,3] => [5,4,7,3,6,2,1] => [6,3,4,2,7,5,1] => 001111
[7,5,1,4,3,2,6] => [5,3,4,1,7,2,6] => [4,3,1,7,5,2,6] => 011101
[7,5,1,4,3,6,2] => [5,7,4,2,6,3,1] => [4,2,6,3,7,5,1] => 001111
[7,5,1,4,6,2,3] => [5,7,1,2,6,4,3] => [6,1,4,7,5,2,3] => 000111
[7,5,1,4,6,3,2] => [5,3,7,2,6,4,1] => [6,3,2,4,7,5,1] => 010111
[7,5,1,6,2,3,4] => [5,7,1,3,6,2,4] => [6,1,3,7,5,2,4] => 000111
[7,5,1,6,2,4,3] => [5,7,4,1,6,2,3] => [4,1,6,2,7,5,3] => 001111
[7,5,1,6,3,2,4] => [5,3,7,1,6,2,4] => [6,3,1,7,5,2,4] => 010111
[7,5,1,6,3,4,2] => [5,4,7,1,6,3,2] => [6,1,4,3,7,5,2] => 001111
[7,5,1,6,4,2,3] => [5,4,1,7,6,2,3] => [6,4,1,7,5,2,3] => 001111
[7,5,1,6,4,3,2] => [5,3,4,7,6,2,1] => [6,4,3,2,7,5,1] => 011111
[7,5,2,1,3,4,6] => [2,5,1,3,7,4,6] => [7,5,2,1,3,4,6] => 100101
[7,5,2,1,3,6,4] => [2,5,1,7,6,4,3] => [6,4,7,5,2,1,3] => 100111
[7,5,2,1,4,3,6] => [2,5,4,1,7,3,6] => [4,2,1,7,5,3,6] => 101101
[7,5,2,1,4,6,3] => [2,5,7,3,6,4,1] => [6,3,4,7,5,2,1] => 100111
[7,5,2,1,6,3,4] => [2,5,7,1,6,3,4] => [6,2,1,7,5,3,4] => 100111
[7,5,2,1,6,4,3] => [2,5,4,7,6,3,1] => [6,4,3,7,5,2,1] => 101111
[7,5,2,3,1,4,6] => [3,5,2,1,7,4,6] => [7,5,2,3,1,4,6] => 010101
[7,5,2,3,1,6,4] => [3,5,2,7,6,4,1] => [6,4,7,5,2,3,1] => 010111
[7,5,2,3,4,1,6] => [4,5,2,3,7,1,6] => [7,5,2,3,4,1,6] => 001101
[7,5,2,3,4,6,1] => [6,5,2,3,7,4,1] => [7,5,2,3,4,6,1] => 000111
[7,5,2,3,6,1,4] => [6,5,2,1,7,3,4] => [7,5,2,6,1,3,4] => 000111
[7,5,2,3,6,4,1] => [4,6,1,5,7,3,2] => [7,5,1,3,6,4,2] => 001111
[7,5,2,4,1,3,6] => [4,5,1,2,7,3,6] => [7,5,1,4,2,3,6] => 001101
[7,5,2,4,1,6,3] => [4,5,7,3,6,1,2] => [6,3,7,5,1,4,2] => 001111
[7,5,2,4,3,1,6] => [3,4,5,1,7,2,6] => [7,5,1,4,3,2,6] => 011101
[7,5,2,4,3,6,1] => [6,5,4,2,7,3,1] => [4,2,7,5,3,6,1] => 001111
[7,5,2,4,6,1,3] => [6,5,1,2,7,4,3] => [7,5,1,4,6,2,3] => 000111
[7,5,2,4,6,3,1] => [3,6,5,1,7,4,2] => [7,5,1,4,6,3,2] => 010111
[7,5,2,6,1,3,4] => [6,5,1,3,7,2,4] => [7,5,1,3,6,2,4] => 000111
[7,5,2,6,1,4,3] => [6,5,4,1,7,2,3] => [4,1,7,5,2,6,3] => 001111
[7,5,2,6,3,1,4] => [3,6,5,2,7,1,4] => [7,5,2,6,3,1,4] => 010111
[7,5,2,6,3,4,1] => [4,5,7,2,6,3,1] => [6,2,7,5,3,4,1] => 001111
[7,5,2,6,4,1,3] => [4,6,2,5,7,1,3] => [7,5,2,6,4,1,3] => 001111
[7,5,2,6,4,3,1] => [3,4,6,5,7,2,1] => [7,5,2,6,4,3,1] => 011111
[7,5,3,1,2,4,6] => [3,1,5,2,7,4,6] => [7,5,3,1,2,4,6] => 010101
[7,5,3,1,2,6,4] => [3,1,5,7,6,4,2] => [6,4,7,5,3,1,2] => 010111
[7,5,3,1,4,2,6] => [3,5,4,2,7,1,6] => [4,2,7,5,3,1,6] => 011101
[7,5,3,1,4,6,2] => [3,5,7,1,6,4,2] => [6,1,4,7,5,3,2] => 010111
[7,5,3,1,6,2,4] => [3,5,7,2,6,1,4] => [6,2,7,5,3,1,4] => 010111
[7,5,3,1,6,4,2] => [3,5,4,7,6,1,2] => [6,4,1,7,5,3,2] => 011111
[7,5,3,2,1,4,6] => [2,3,5,1,7,4,6] => [7,5,3,2,1,4,6] => 110101
[7,5,3,2,1,6,4] => [2,3,5,7,6,4,1] => [6,4,7,5,3,2,1] => 110111
[7,5,3,2,4,1,6] => [4,3,5,2,7,1,6] => [7,5,3,2,4,1,6] => 011101
[7,5,3,2,4,6,1] => [6,3,5,2,7,4,1] => [7,5,3,2,4,6,1] => 010111
[7,5,3,2,6,1,4] => [6,3,5,1,7,2,4] => [7,5,3,1,6,2,4] => 010111
[7,5,3,2,6,4,1] => [4,3,6,5,7,1,2] => [7,5,3,1,6,4,2] => 011111
[7,5,3,4,1,2,6] => [4,1,5,3,7,2,6] => [7,5,3,4,1,2,6] => 001101
[7,5,3,4,1,6,2] => [4,6,5,3,7,1,2] => [7,5,3,6,1,4,2] => 001111
[7,5,3,4,2,1,6] => [2,4,5,3,7,1,6] => [7,5,3,4,2,1,6] => 101101
[7,5,3,4,2,6,1] => [6,4,5,3,7,2,1] => [7,5,3,4,2,6,1] => 001111
[7,5,3,4,6,1,2] => [6,1,5,3,7,4,2] => [7,5,3,4,6,1,2] => 000111
[7,5,3,4,6,2,1] => [2,6,5,3,7,4,1] => [7,5,3,4,6,2,1] => 100111
[7,5,3,6,1,2,4] => [6,1,5,2,7,3,4] => [7,5,1,2,6,3,4] => 000111
[7,5,3,6,1,4,2] => [6,4,5,1,7,3,2] => [7,5,1,4,3,6,2] => 001111
[7,5,3,6,2,1,4] => [2,6,5,1,7,3,4] => [7,5,2,1,6,3,4] => 100111
[7,5,3,6,2,4,1] => [4,6,5,2,7,3,1] => [7,5,2,6,3,4,1] => 001111
[7,5,3,6,4,1,2] => [4,1,6,5,7,2,3] => [7,5,1,2,6,4,3] => 001111
[7,5,3,6,4,2,1] => [2,4,6,5,7,1,3] => [7,5,2,1,6,4,3] => 101111
[7,5,4,1,2,3,6] => [4,1,2,5,7,3,6] => [7,5,4,1,2,3,6] => 001101
[7,5,4,1,2,6,3] => [4,1,5,7,6,2,3] => [6,1,2,7,5,4,3] => 001111
[7,5,4,1,3,2,6] => [4,3,1,5,7,2,6] => [3,1,7,5,4,2,6] => 011101
[7,5,4,1,3,6,2] => [4,5,1,7,6,3,2] => [6,1,3,7,5,4,2] => 001111
[7,5,4,1,6,2,3] => [4,5,2,7,6,1,3] => [6,2,7,5,4,1,3] => 001111
[7,5,4,1,6,3,2] => [4,3,5,7,6,1,2] => [6,3,1,7,5,4,2] => 011111
[7,5,4,2,1,3,6] => [2,4,1,5,7,3,6] => [7,5,4,2,1,3,6] => 101101
[7,5,4,2,1,6,3] => [2,4,5,7,6,1,3] => [6,2,1,7,5,4,3] => 101111
[7,5,4,2,3,1,6] => [3,4,2,5,7,1,6] => [7,5,4,2,3,1,6] => 011101
[7,5,4,2,3,6,1] => [6,4,2,5,7,3,1] => [7,5,4,2,3,6,1] => 001111
[7,5,4,2,6,1,3] => [6,4,1,5,7,2,3] => [7,5,4,1,6,2,3] => 001111
[7,5,4,2,6,3,1] => [3,6,4,5,7,1,2] => [7,5,4,1,6,3,2] => 011111
[7,5,4,3,1,2,6] => [3,1,4,5,7,2,6] => [7,5,4,3,1,2,6] => 011101
[7,5,4,3,1,6,2] => [3,4,5,7,6,2,1] => [6,2,7,5,4,3,1] => 011111
[7,5,4,3,2,1,6] => [2,3,4,5,7,1,6] => [7,5,4,3,2,1,6] => 111101
[7,5,4,3,2,6,1] => [6,3,4,5,7,2,1] => [7,5,4,3,2,6,1] => 011111
[7,5,4,3,6,1,2] => [6,1,4,5,7,3,2] => [7,5,4,3,6,1,2] => 001111
[7,5,4,3,6,2,1] => [2,6,4,5,7,3,1] => [7,5,4,3,6,2,1] => 101111
[7,5,4,6,1,2,3] => [6,1,2,5,7,4,3] => [7,5,4,6,1,2,3] => 000111
[7,5,4,6,1,3,2] => [6,3,1,5,7,4,2] => [3,1,7,5,4,6,2] => 010111
[7,5,4,6,2,1,3] => [2,6,1,5,7,4,3] => [7,5,4,6,2,1,3] => 100111
[7,5,4,6,2,3,1] => [3,6,2,5,7,4,1] => [7,5,4,6,2,3,1] => 010111
[7,5,4,6,3,1,2] => [3,1,6,5,7,4,2] => [7,5,4,6,3,1,2] => 010111
[7,5,4,6,3,2,1] => [2,3,6,5,7,4,1] => [7,5,4,6,3,2,1] => 110111
[7,5,6,1,2,3,4] => [6,1,2,3,7,5,4] => [7,5,6,1,2,3,4] => 000011
[7,5,6,1,2,4,3] => [6,1,4,2,7,5,3] => [4,1,2,7,5,6,3] => 001011
[7,5,6,1,3,2,4] => [6,3,1,2,7,5,4] => [3,1,7,5,6,2,4] => 010011
[7,5,6,1,3,4,2] => [6,4,1,3,7,5,2] => [4,1,3,7,5,6,2] => 001011
[7,5,6,1,4,2,3] => [6,4,2,1,7,5,3] => [4,2,7,5,6,1,3] => 001011
[7,5,6,1,4,3,2] => [6,3,4,1,7,5,2] => [4,3,1,7,5,6,2] => 011011
[7,5,6,2,1,3,4] => [2,6,1,3,7,5,4] => [7,5,6,2,1,3,4] => 100011
[7,5,6,2,1,4,3] => [2,6,4,1,7,5,3] => [4,2,1,7,5,6,3] => 101011
[7,5,6,2,3,1,4] => [3,6,2,1,7,5,4] => [7,5,6,2,3,1,4] => 010011
[7,5,6,2,3,4,1] => [4,6,2,3,7,5,1] => [7,5,6,2,3,4,1] => 001011
[7,5,6,2,4,1,3] => [4,6,1,2,7,5,3] => [7,5,6,1,4,2,3] => 001011
[7,5,6,2,4,3,1] => [3,4,6,1,7,5,2] => [7,5,6,1,4,3,2] => 011011
[7,5,6,3,1,2,4] => [3,1,6,2,7,5,4] => [7,5,6,3,1,2,4] => 010011
[7,5,6,3,1,4,2] => [3,6,4,2,7,5,1] => [4,2,7,5,6,3,1] => 011011
[7,5,6,3,2,1,4] => [2,3,6,1,7,5,4] => [7,5,6,3,2,1,4] => 110011
[7,5,6,3,2,4,1] => [4,3,6,2,7,5,1] => [7,5,6,3,2,4,1] => 011011
[7,5,6,3,4,1,2] => [4,1,6,3,7,5,2] => [7,5,6,3,4,1,2] => 001011
[7,5,6,3,4,2,1] => [2,4,6,3,7,5,1] => [7,5,6,3,4,2,1] => 101011
[7,5,6,4,1,2,3] => [4,1,2,6,7,5,3] => [7,5,6,4,1,2,3] => 001011
[7,5,6,4,1,3,2] => [4,3,1,6,7,5,2] => [3,1,7,5,6,4,2] => 011011
[7,5,6,4,2,1,3] => [2,4,1,6,7,5,3] => [7,5,6,4,2,1,3] => 101011
[7,5,6,4,2,3,1] => [3,4,2,6,7,5,1] => [7,5,6,4,2,3,1] => 011011
[7,5,6,4,3,1,2] => [3,1,4,6,7,5,2] => [7,5,6,4,3,1,2] => 011011
[7,5,6,4,3,2,1] => [2,3,4,6,7,5,1] => [7,5,6,4,3,2,1] => 111011
[7,6,1,2,3,4,5] => [6,1,2,3,4,7,5] => [7,6,1,2,3,4,5] => 000011
[7,6,1,2,3,5,4] => [6,1,2,5,3,7,4] => [5,1,2,3,7,6,4] => 000111
[7,6,1,2,4,3,5] => [6,1,4,2,3,7,5] => [4,1,2,7,6,3,5] => 001011
[7,6,1,2,4,5,3] => [6,1,5,2,4,7,3] => [5,1,2,4,7,6,3] => 000111
[7,6,1,2,5,3,4] => [6,1,5,3,2,7,4] => [5,3,7,6,1,2,4] => 000111
[7,6,1,2,5,4,3] => [6,1,4,5,2,7,3] => [5,4,1,2,7,6,3] => 001111
[7,6,1,3,2,4,5] => [6,3,1,2,4,7,5] => [3,1,7,6,2,4,5] => 010011
[7,6,1,3,2,5,4] => [6,3,1,5,2,7,4] => [3,1,5,2,7,6,4] => 010111
[7,6,1,3,4,2,5] => [6,4,1,3,2,7,5] => [4,1,3,7,6,2,5] => 001011
[7,6,1,3,4,5,2] => [6,5,1,3,4,7,2] => [5,1,3,4,7,6,2] => 000111
[7,6,1,3,5,2,4] => [6,5,1,2,3,7,4] => [5,1,7,6,2,3,4] => 000111
[7,6,1,3,5,4,2] => [6,4,1,5,3,7,2] => [5,4,1,3,7,6,2] => 001111
[7,6,1,4,2,3,5] => [6,4,2,1,3,7,5] => [4,2,7,6,1,3,5] => 001011
[7,6,1,4,2,5,3] => [6,4,5,1,2,7,3] => [5,1,4,2,7,6,3] => 001111
[7,6,1,4,3,2,5] => [6,3,4,1,2,7,5] => [4,3,1,7,6,2,5] => 011011
[7,6,1,4,3,5,2] => [6,5,4,1,3,7,2] => [4,1,5,3,7,6,2] => 001111
[7,6,1,4,5,2,3] => [6,5,2,1,4,7,3] => [5,2,4,7,6,1,3] => 000111
[7,6,1,4,5,3,2] => [6,3,5,1,4,7,2] => [5,3,1,4,7,6,2] => 010111
[7,6,1,5,2,3,4] => [6,5,2,3,1,7,4] => [5,2,3,7,6,1,4] => 000111
[7,6,1,5,2,4,3] => [6,5,4,2,1,7,3] => [4,2,5,1,7,6,3] => 001111
[7,6,1,5,3,2,4] => [6,3,5,2,1,7,4] => [5,3,2,7,6,1,4] => 010111
[7,6,1,5,3,4,2] => [6,4,5,3,1,7,2] => [5,3,4,1,7,6,2] => 001111
[7,6,1,5,4,2,3] => [6,4,2,5,1,7,3] => [5,4,2,7,6,1,3] => 001111
[7,6,1,5,4,3,2] => [6,3,4,5,1,7,2] => [5,4,3,1,7,6,2] => 011111
[7,6,2,1,3,4,5] => [2,6,1,3,4,7,5] => [7,6,2,1,3,4,5] => 100011
[7,6,2,1,3,5,4] => [2,6,1,5,3,7,4] => [5,2,1,3,7,6,4] => 100111
[7,6,2,1,4,3,5] => [2,6,4,1,3,7,5] => [4,2,1,7,6,3,5] => 101011
[7,6,2,1,4,5,3] => [2,6,5,1,4,7,3] => [5,2,1,4,7,6,3] => 100111
[7,6,2,1,5,3,4] => [2,6,5,3,1,7,4] => [5,3,7,6,2,1,4] => 100111
[7,6,2,1,5,4,3] => [2,6,4,5,1,7,3] => [5,4,2,1,7,6,3] => 101111
[7,6,2,3,1,4,5] => [3,6,2,1,4,7,5] => [7,6,2,3,1,4,5] => 010011
[7,6,2,3,1,5,4] => [3,6,2,5,1,7,4] => [5,2,3,1,7,6,4] => 010111
[7,6,2,3,4,1,5] => [4,6,2,3,1,7,5] => [7,6,2,3,4,1,5] => 001011
[7,6,2,3,4,5,1] => [5,6,2,3,4,7,1] => [7,6,2,3,4,5,1] => 000111
[7,6,2,3,5,1,4] => [5,6,2,1,3,7,4] => [7,6,2,5,1,3,4] => 000111
[7,6,2,3,5,4,1] => [4,5,1,6,3,7,2] => [7,6,1,3,5,4,2] => 001111
[7,6,2,4,1,3,5] => [4,6,1,2,3,7,5] => [7,6,1,4,2,3,5] => 001011
[7,6,2,4,1,5,3] => [4,6,5,2,1,7,3] => [5,2,7,6,1,4,3] => 001111
[7,6,2,4,3,1,5] => [3,4,6,1,2,7,5] => [7,6,1,4,3,2,5] => 011011
[7,6,2,4,3,5,1] => [5,6,4,2,3,7,1] => [4,2,7,6,3,5,1] => 001111
[7,6,2,4,5,1,3] => [5,6,1,2,4,7,3] => [7,6,1,4,5,2,3] => 000111
[7,6,2,4,5,3,1] => [3,5,6,1,4,7,2] => [7,6,1,4,5,3,2] => 010111
[7,6,2,5,1,3,4] => [5,6,1,3,2,7,4] => [7,6,1,3,5,2,4] => 000111
[7,6,2,5,1,4,3] => [5,6,4,1,2,7,3] => [4,1,7,6,2,5,3] => 001111
[7,6,2,5,3,1,4] => [3,5,6,2,1,7,4] => [7,6,2,5,3,1,4] => 010111
[7,6,2,5,3,4,1] => [4,6,5,3,2,7,1] => [5,3,7,6,2,4,1] => 001111
[7,6,2,5,4,1,3] => [4,5,2,6,1,7,3] => [7,6,2,5,4,1,3] => 001111
[7,6,2,5,4,3,1] => [3,4,5,6,2,7,1] => [7,6,2,5,4,3,1] => 011111
[7,6,3,1,2,4,5] => [3,1,6,2,4,7,5] => [7,6,3,1,2,4,5] => 010011
[7,6,3,1,2,5,4] => [3,1,6,5,2,7,4] => [5,3,1,2,7,6,4] => 010111
[7,6,3,1,4,2,5] => [3,6,4,2,1,7,5] => [4,2,7,6,3,1,5] => 011011
[7,6,3,1,4,5,2] => [3,6,5,2,4,7,1] => [5,2,4,7,6,3,1] => 010111
[7,6,3,1,5,2,4] => [3,6,5,1,2,7,4] => [5,1,7,6,3,2,4] => 010111
[7,6,3,1,5,4,2] => [3,6,4,5,2,7,1] => [5,4,2,7,6,3,1] => 011111
[7,6,3,2,1,4,5] => [2,3,6,1,4,7,5] => [7,6,3,2,1,4,5] => 110011
[7,6,3,2,1,5,4] => [2,3,6,5,1,7,4] => [5,3,2,1,7,6,4] => 110111
[7,6,3,2,4,1,5] => [4,3,6,2,1,7,5] => [7,6,3,2,4,1,5] => 011011
[7,6,3,2,4,5,1] => [5,3,6,2,4,7,1] => [7,6,3,2,4,5,1] => 010111
[7,6,3,2,5,1,4] => [5,3,6,1,2,7,4] => [7,6,3,1,5,2,4] => 010111
[7,6,3,2,5,4,1] => [4,3,5,6,1,7,2] => [7,6,3,1,5,4,2] => 011111
[7,6,3,4,1,2,5] => [4,1,6,3,2,7,5] => [7,6,3,4,1,2,5] => 001011
[7,6,3,4,1,5,2] => [4,5,6,3,1,7,2] => [7,6,3,5,1,4,2] => 001111
[7,6,3,4,2,1,5] => [2,4,6,3,1,7,5] => [7,6,3,4,2,1,5] => 101011
[7,6,3,4,2,5,1] => [5,4,6,3,2,7,1] => [7,6,3,4,2,5,1] => 001111
[7,6,3,4,5,1,2] => [5,1,6,3,4,7,2] => [7,6,3,4,5,1,2] => 000111
[7,6,3,4,5,2,1] => [2,5,6,3,4,7,1] => [7,6,3,4,5,2,1] => 100111
[7,6,3,5,1,2,4] => [5,1,6,2,3,7,4] => [7,6,1,2,5,3,4] => 000111
[7,6,3,5,1,4,2] => [5,4,6,1,3,7,2] => [7,6,1,4,3,5,2] => 001111
[7,6,3,5,2,1,4] => [2,5,6,1,3,7,4] => [7,6,2,1,5,3,4] => 100111
[7,6,3,5,2,4,1] => [4,5,6,2,3,7,1] => [7,6,2,5,3,4,1] => 001111
[7,6,3,5,4,1,2] => [4,1,5,6,2,7,3] => [7,6,1,2,5,4,3] => 001111
[7,6,3,5,4,2,1] => [2,4,5,6,1,7,3] => [7,6,2,1,5,4,3] => 101111
[7,6,4,1,2,3,5] => [4,1,2,6,3,7,5] => [7,6,4,1,2,3,5] => 001011
[7,6,4,1,2,5,3] => [4,1,6,5,3,7,2] => [5,3,7,6,4,1,2] => 001111
[7,6,4,1,3,2,5] => [4,3,1,6,2,7,5] => [3,1,7,6,4,2,5] => 011011
[7,6,4,1,3,5,2] => [4,6,2,5,3,7,1] => [5,2,3,7,6,4,1] => 001111
[7,6,4,1,5,2,3] => [4,6,1,5,2,7,3] => [5,1,7,6,4,2,3] => 001111
[7,6,4,1,5,3,2] => [4,3,6,5,2,7,1] => [5,3,2,7,6,4,1] => 011111
[7,6,4,2,1,3,5] => [2,4,1,6,3,7,5] => [7,6,4,2,1,3,5] => 101011
[7,6,4,2,1,5,3] => [2,4,6,5,3,7,1] => [5,3,7,6,4,2,1] => 101111
[7,6,4,2,3,1,5] => [3,4,2,6,1,7,5] => [7,6,4,2,3,1,5] => 011011
[7,6,4,2,3,5,1] => [5,4,2,6,3,7,1] => [7,6,4,2,3,5,1] => 001111
[7,6,4,2,5,1,3] => [5,4,1,6,2,7,3] => [7,6,4,1,5,2,3] => 001111
[7,6,4,2,5,3,1] => [3,5,4,6,1,7,2] => [7,6,4,1,5,3,2] => 011111
[7,6,4,3,1,2,5] => [3,1,4,6,2,7,5] => [7,6,4,3,1,2,5] => 011011
[7,6,4,3,1,5,2] => [3,4,6,5,1,7,2] => [5,1,7,6,4,3,2] => 011111
[7,6,4,3,2,1,5] => [2,3,4,6,1,7,5] => [7,6,4,3,2,1,5] => 111011
[7,6,4,3,2,5,1] => [5,3,4,6,2,7,1] => [7,6,4,3,2,5,1] => 011111
[7,6,4,3,5,1,2] => [5,1,4,6,3,7,2] => [7,6,4,3,5,1,2] => 001111
[7,6,4,3,5,2,1] => [2,5,4,6,3,7,1] => [7,6,4,3,5,2,1] => 101111
[7,6,4,5,1,2,3] => [5,1,2,6,4,7,3] => [7,6,4,5,1,2,3] => 000111
[7,6,4,5,1,3,2] => [5,3,1,6,4,7,2] => [3,1,7,6,4,5,2] => 010111
[7,6,4,5,2,1,3] => [2,5,1,6,4,7,3] => [7,6,4,5,2,1,3] => 100111
[7,6,4,5,2,3,1] => [3,5,2,6,4,7,1] => [7,6,4,5,2,3,1] => 010111
[7,6,4,5,3,1,2] => [3,1,5,6,4,7,2] => [7,6,4,5,3,1,2] => 010111
[7,6,4,5,3,2,1] => [2,3,5,6,4,7,1] => [7,6,4,5,3,2,1] => 110111
[7,6,5,1,2,3,4] => [5,1,2,3,6,7,4] => [7,6,5,1,2,3,4] => 000111
[7,6,5,1,2,4,3] => [5,1,4,2,6,7,3] => [4,1,2,7,6,5,3] => 001111
[7,6,5,1,3,2,4] => [5,3,1,2,6,7,4] => [3,1,7,6,5,2,4] => 010111
[7,6,5,1,3,4,2] => [5,4,1,3,6,7,2] => [4,1,3,7,6,5,2] => 001111
[7,6,5,1,4,2,3] => [5,4,2,1,6,7,3] => [4,2,7,6,5,1,3] => 001111
[7,6,5,1,4,3,2] => [5,3,4,1,6,7,2] => [4,3,1,7,6,5,2] => 011111
[7,6,5,2,1,3,4] => [2,5,1,3,6,7,4] => [7,6,5,2,1,3,4] => 100111
[7,6,5,2,1,4,3] => [2,5,4,1,6,7,3] => [4,2,1,7,6,5,3] => 101111
[7,6,5,2,3,1,4] => [3,5,2,1,6,7,4] => [7,6,5,2,3,1,4] => 010111
[7,6,5,2,3,4,1] => [4,5,2,3,6,7,1] => [7,6,5,2,3,4,1] => 001111
[7,6,5,2,4,1,3] => [4,5,1,2,6,7,3] => [7,6,5,1,4,2,3] => 001111
[7,6,5,2,4,3,1] => [3,4,5,1,6,7,2] => [7,6,5,1,4,3,2] => 011111
[7,6,5,3,1,2,4] => [3,1,5,2,6,7,4] => [7,6,5,3,1,2,4] => 010111
[7,6,5,3,1,4,2] => [3,5,4,2,6,7,1] => [4,2,7,6,5,3,1] => 011111
[7,6,5,3,2,1,4] => [2,3,5,1,6,7,4] => [7,6,5,3,2,1,4] => 110111
[7,6,5,3,2,4,1] => [4,3,5,2,6,7,1] => [7,6,5,3,2,4,1] => 011111
[7,6,5,3,4,1,2] => [4,1,5,3,6,7,2] => [7,6,5,3,4,1,2] => 001111
[7,6,5,3,4,2,1] => [2,4,5,3,6,7,1] => [7,6,5,3,4,2,1] => 101111
[7,6,5,4,1,2,3] => [4,1,2,5,6,7,3] => [7,6,5,4,1,2,3] => 001111
[7,6,5,4,1,3,2] => [4,3,1,5,6,7,2] => [3,1,7,6,5,4,2] => 011111
[7,6,5,4,2,1,3] => [2,4,1,5,6,7,3] => [7,6,5,4,2,1,3] => 101111
[7,6,5,4,2,3,1] => [3,4,2,5,6,7,1] => [7,6,5,4,2,3,1] => 011111
[7,6,5,4,3,1,2] => [3,1,4,5,6,7,2] => [7,6,5,4,3,1,2] => 011111
[7,6,5,4,3,2,1] => [2,3,4,5,6,7,1] => [7,6,5,4,3,2,1] => 111111
[8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1] => [8,7,6,5,4,3,2,1] => 1111111
[7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1] => [7,8,6,5,4,3,2,1] => 1111101
[8,6,7,5,4,3,2,1] => [2,3,4,5,7,8,6,1] => [8,6,7,5,4,3,2,1] => 1111011
[7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1] => [7,6,8,5,4,3,2,1] => 1111011
[6,7,8,5,4,3,2,1] => [2,3,4,5,8,6,7,1] => [6,7,8,5,4,3,2,1] => 1111001
[8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,1] => [8,7,5,6,4,3,2,1] => 1110111
[7,8,5,6,4,3,2,1] => [2,3,4,6,8,5,7,1] => [7,8,5,6,4,3,2,1] => 1110101
[8,6,5,7,4,3,2,1] => [2,3,4,7,6,8,5,1] => [8,6,5,7,4,3,2,1] => 1110111
[8,5,6,7,4,3,2,1] => [2,3,4,7,8,5,6,1] => [8,5,6,7,4,3,2,1] => 1110011
[7,6,5,8,4,3,2,1] => [2,3,4,8,6,7,5,1] => [7,6,5,8,4,3,2,1] => 1110111
[6,7,5,8,4,3,2,1] => [2,3,4,8,7,6,5,1] => [6,7,5,8,4,3,2,1] => 1110011
[7,5,6,8,4,3,2,1] => [2,3,4,8,7,5,6,1] => [7,5,6,8,4,3,2,1] => 1110011
[6,5,7,8,4,3,2,1] => [2,3,4,8,6,5,7,1] => [6,5,7,8,4,3,2,1] => 1110101
[5,6,7,8,4,3,2,1] => [2,3,4,8,5,6,7,1] => [5,6,7,8,4,3,2,1] => 1110001
[8,7,6,4,5,3,2,1] => [2,3,5,6,4,7,8,1] => [8,7,6,4,5,3,2,1] => 1101111
[7,8,6,4,5,3,2,1] => [2,3,5,6,4,8,7,1] => [7,8,6,4,5,3,2,1] => 1101101
[8,6,7,4,5,3,2,1] => [2,3,5,7,4,8,6,1] => [8,6,7,4,5,3,2,1] => 1101011
[6,7,8,4,5,3,2,1] => [2,3,5,8,4,6,7,1] => [6,7,8,4,5,3,2,1] => 1101001
[8,7,4,5,6,3,2,1] => [2,3,6,7,4,5,8,1] => [8,7,4,5,6,3,2,1] => 1100111
[8,6,5,4,7,3,2,1] => [2,3,7,5,6,8,4,1] => [8,6,5,4,7,3,2,1] => 1101111
[8,5,4,6,7,3,2,1] => [2,3,7,5,8,4,6,1] => [8,5,4,6,7,3,2,1] => 1101011
[8,4,5,6,7,3,2,1] => [2,3,7,8,4,5,6,1] => [8,4,5,6,7,3,2,1] => 1100011
[7,6,5,4,8,3,2,1] => [2,3,8,5,6,7,4,1] => [7,6,5,4,8,3,2,1] => 1101111
[6,7,5,4,8,3,2,1] => [2,3,8,5,7,6,4,1] => [6,7,5,4,8,3,2,1] => 1101011
[7,5,6,4,8,3,2,1] => [2,3,8,6,7,5,4,1] => [7,5,6,4,8,3,2,1] => 1100111
[6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1] => [6,5,7,4,8,3,2,1] => 1100111
[7,4,5,6,8,3,2,1] => [2,3,8,7,4,5,6,1] => [7,4,5,6,8,3,2,1] => 1100011
[6,5,4,7,8,3,2,1] => [2,3,8,5,6,4,7,1] => [6,5,4,7,8,3,2,1] => 1101101
[5,6,4,7,8,3,2,1] => [2,3,8,6,5,4,7,1] => [5,6,4,7,8,3,2,1] => 1100101
[6,4,5,7,8,3,2,1] => [2,3,8,6,4,5,7,1] => [6,4,5,7,8,3,2,1] => 1100101
[5,4,6,7,8,3,2,1] => [2,3,8,5,4,6,7,1] => [5,4,6,7,8,3,2,1] => 1101001
[4,5,6,7,8,3,2,1] => [2,3,8,4,5,6,7,1] => [4,5,6,7,8,3,2,1] => 1100001
[8,7,6,5,3,4,2,1] => [2,4,5,3,6,7,8,1] => [8,7,6,5,3,4,2,1] => 1011111
[7,8,6,5,3,4,2,1] => [2,4,5,3,6,8,7,1] => [7,8,6,5,3,4,2,1] => 1011101
[8,6,7,5,3,4,2,1] => [2,4,5,3,7,8,6,1] => [8,6,7,5,3,4,2,1] => 1011011
[7,6,8,5,3,4,2,1] => [2,4,5,3,8,7,6,1] => [7,6,8,5,3,4,2,1] => 1011011
[8,7,5,6,3,4,2,1] => [2,4,6,3,7,5,8,1] => [8,7,5,6,3,4,2,1] => 1010111
[7,8,5,6,3,4,2,1] => [2,4,6,3,8,5,7,1] => [7,8,5,6,3,4,2,1] => 1010101
[8,5,6,7,3,4,2,1] => [2,4,7,3,8,5,6,1] => [8,5,6,7,3,4,2,1] => 1010011
[6,7,5,8,3,4,2,1] => [2,4,8,3,7,6,5,1] => [6,7,5,8,3,4,2,1] => 1010011
[6,5,7,8,3,4,2,1] => [2,4,8,3,6,5,7,1] => [6,5,7,8,3,4,2,1] => 1010101
[5,6,7,8,3,4,2,1] => [2,4,8,3,5,6,7,1] => [5,6,7,8,3,4,2,1] => 1010001
[8,7,6,4,3,5,2,1] => [2,5,4,6,3,7,8,1] => [8,7,6,4,3,5,2,1] => 1011111
[8,6,7,4,3,5,2,1] => [2,5,4,7,3,8,6,1] => [8,6,7,4,3,5,2,1] => 1011011
[7,6,8,4,3,5,2,1] => [2,5,4,8,3,7,6,1] => [7,6,8,4,3,5,2,1] => 1011011
[6,7,8,4,3,5,2,1] => [2,5,4,8,3,6,7,1] => [6,7,8,4,3,5,2,1] => 1011001
[8,7,6,3,4,5,2,1] => [2,5,6,3,4,7,8,1] => [8,7,6,3,4,5,2,1] => 1001111
[7,8,6,3,4,5,2,1] => [2,5,6,3,4,8,7,1] => [7,8,6,3,4,5,2,1] => 1001101
[8,6,7,3,4,5,2,1] => [2,5,7,3,4,8,6,1] => [8,6,7,3,4,5,2,1] => 1001011
[6,7,8,3,4,5,2,1] => [2,5,8,3,4,6,7,1] => [6,7,8,3,4,5,2,1] => 1001001
[8,7,5,4,3,6,2,1] => [2,6,4,5,7,3,8,1] => [8,7,5,4,3,6,2,1] => 1011111
[7,8,5,4,3,6,2,1] => [2,6,4,5,8,3,7,1] => [7,8,5,4,3,6,2,1] => 1011101
[8,7,4,5,3,6,2,1] => [2,6,5,7,4,3,8,1] => [8,7,4,5,3,6,2,1] => 1001111
[8,7,5,3,4,6,2,1] => [2,6,5,3,7,4,8,1] => [8,7,5,3,4,6,2,1] => 1001111
[7,8,5,3,4,6,2,1] => [2,6,5,3,8,4,7,1] => [7,8,5,3,4,6,2,1] => 1001101
[8,7,4,3,5,6,2,1] => [2,6,4,7,3,5,8,1] => [8,7,4,3,5,6,2,1] => 1010111
[7,8,3,4,5,6,2,1] => [2,6,8,3,4,5,7,1] => [7,8,3,4,5,6,2,1] => 1000101
[8,6,5,4,3,7,2,1] => [2,7,4,5,6,8,3,1] => [8,6,5,4,3,7,2,1] => 1011111
[8,6,4,3,5,7,2,1] => [2,7,4,6,3,8,5,1] => [8,6,4,3,5,7,2,1] => 1010111
[8,5,4,3,6,7,2,1] => [2,7,4,5,8,3,6,1] => [8,5,4,3,6,7,2,1] => 1011011
[8,4,3,5,6,7,2,1] => [2,7,4,8,3,5,6,1] => [8,4,3,5,6,7,2,1] => 1010011
[8,3,4,5,6,7,2,1] => [2,7,8,3,4,5,6,1] => [8,3,4,5,6,7,2,1] => 1000011
[7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,3,1] => [7,6,5,4,3,8,2,1] => 1011111
[7,5,6,4,3,8,2,1] => [2,8,4,6,7,5,3,1] => [7,5,6,4,3,8,2,1] => 1010111
[6,5,7,4,3,8,2,1] => [2,8,4,7,6,5,3,1] => [6,5,7,4,3,8,2,1] => 1010111
[6,7,4,5,3,8,2,1] => [2,8,5,7,4,6,3,1] => [6,7,4,5,3,8,2,1] => 1001011
[7,5,4,6,3,8,2,1] => [2,8,6,5,7,4,3,1] => [7,5,4,6,3,8,2,1] => 1001111
[7,4,5,6,3,8,2,1] => [2,8,6,7,4,5,3,1] => [7,4,5,6,3,8,2,1] => 1000111
[6,5,4,7,3,8,2,1] => [2,8,7,5,6,4,3,1] => [6,5,4,7,3,8,2,1] => 1001111
[6,4,5,7,3,8,2,1] => [2,8,7,6,4,5,3,1] => [6,4,5,7,3,8,2,1] => 1000111
[5,4,6,7,3,8,2,1] => [2,8,7,5,4,6,3,1] => [5,4,6,7,3,8,2,1] => 1001011
[4,5,6,7,3,8,2,1] => [2,8,7,4,5,6,3,1] => [4,5,6,7,3,8,2,1] => 1000011
[7,6,4,3,5,8,2,1] => [2,8,4,6,3,7,5,1] => [7,6,4,3,5,8,2,1] => 1010111
[7,5,4,3,6,8,2,1] => [2,8,4,5,7,3,6,1] => [7,5,4,3,6,8,2,1] => 1011011
[7,3,4,5,6,8,2,1] => [2,8,7,3,4,5,6,1] => [7,3,4,5,6,8,2,1] => 1000011
[6,5,4,3,7,8,2,1] => [2,8,4,5,6,3,7,1] => [6,5,4,3,7,8,2,1] => 1011101
[6,5,3,4,7,8,2,1] => [2,8,5,3,6,4,7,1] => [6,5,3,4,7,8,2,1] => 1001101
[6,3,4,5,7,8,2,1] => [2,8,6,3,4,5,7,1] => [6,3,4,5,7,8,2,1] => 1000101
[5,4,3,6,7,8,2,1] => [2,8,4,5,3,6,7,1] => [5,4,3,6,7,8,2,1] => 1011001
[5,3,4,6,7,8,2,1] => [2,8,5,3,4,6,7,1] => [5,3,4,6,7,8,2,1] => 1001001
[4,3,5,6,7,8,2,1] => [2,8,4,3,5,6,7,1] => [4,3,5,6,7,8,2,1] => 1010001
[3,4,5,6,7,8,2,1] => [2,8,3,4,5,6,7,1] => [3,4,5,6,7,8,2,1] => 1000001
[8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,1] => [8,7,6,5,4,2,3,1] => 0111111
[7,8,6,5,4,2,3,1] => [3,4,2,5,6,8,7,1] => [7,8,6,5,4,2,3,1] => 0111101
[8,6,7,5,4,2,3,1] => [3,4,2,5,7,8,6,1] => [8,6,7,5,4,2,3,1] => 0111011
[7,6,8,5,4,2,3,1] => [3,4,2,5,8,7,6,1] => [7,6,8,5,4,2,3,1] => 0111011
[8,7,5,6,4,2,3,1] => [3,4,2,6,7,5,8,1] => [8,7,5,6,4,2,3,1] => 0110111
[7,6,5,8,4,2,3,1] => [3,4,2,8,6,7,5,1] => [7,6,5,8,4,2,3,1] => 0110111
[6,7,5,8,4,2,3,1] => [3,4,2,8,7,6,5,1] => [6,7,5,8,4,2,3,1] => 0110011
[5,6,7,8,4,2,3,1] => [3,4,2,8,5,6,7,1] => [5,6,7,8,4,2,3,1] => 0110001
[8,7,6,4,5,2,3,1] => [3,5,2,6,4,7,8,1] => [8,7,6,4,5,2,3,1] => 0101111
[8,6,7,4,5,2,3,1] => [3,5,2,7,4,8,6,1] => [8,6,7,4,5,2,3,1] => 0101011
[7,6,8,4,5,2,3,1] => [3,5,2,8,4,7,6,1] => [7,6,8,4,5,2,3,1] => 0101011
[6,7,8,4,5,2,3,1] => [3,5,2,8,4,6,7,1] => [6,7,8,4,5,2,3,1] => 0101001
[8,7,5,4,6,2,3,1] => [3,6,2,5,7,4,8,1] => [8,7,5,4,6,2,3,1] => 0101111
[8,7,4,5,6,2,3,1] => [3,6,2,7,4,5,8,1] => [8,7,4,5,6,2,3,1] => 0100111
[7,8,4,5,6,2,3,1] => [3,6,2,8,4,5,7,1] => [7,8,4,5,6,2,3,1] => 0100101
[8,5,6,4,7,2,3,1] => [3,7,2,6,8,5,4,1] => [8,5,6,4,7,2,3,1] => 0100111
[8,4,5,6,7,2,3,1] => [3,7,2,8,4,5,6,1] => [8,4,5,6,7,2,3,1] => 0100011
[7,5,6,4,8,2,3,1] => [3,8,2,6,7,5,4,1] => [7,5,6,4,8,2,3,1] => 0100111
[6,5,7,4,8,2,3,1] => [3,8,2,7,6,5,4,1] => [6,5,7,4,8,2,3,1] => 0100111
[4,5,6,7,8,2,3,1] => [3,8,2,4,5,6,7,1] => [4,5,6,7,8,2,3,1] => 0100001
[8,7,6,5,3,2,4,1] => [4,3,5,2,6,7,8,1] => [8,7,6,5,3,2,4,1] => 0111111
[7,6,8,5,3,2,4,1] => [4,3,5,2,8,7,6,1] => [7,6,8,5,3,2,4,1] => 0111011
[6,7,8,5,3,2,4,1] => [4,3,5,2,8,6,7,1] => [6,7,8,5,3,2,4,1] => 0111001
[8,7,5,6,3,2,4,1] => [4,3,6,2,7,5,8,1] => [8,7,5,6,3,2,4,1] => 0110111
[8,6,5,7,3,2,4,1] => [4,3,7,2,6,8,5,1] => [8,6,5,7,3,2,4,1] => 0110111
[8,5,6,7,3,2,4,1] => [4,3,7,2,8,5,6,1] => [8,5,6,7,3,2,4,1] => 0110011
[7,6,5,8,3,2,4,1] => [4,3,8,2,6,7,5,1] => [7,6,5,8,3,2,4,1] => 0110111
[6,7,5,8,3,2,4,1] => [4,3,8,2,7,6,5,1] => [6,7,5,8,3,2,4,1] => 0110011
[5,6,7,8,3,2,4,1] => [4,3,8,2,5,6,7,1] => [5,6,7,8,3,2,4,1] => 0110001
[8,7,6,5,2,3,4,1] => [4,5,2,3,6,7,8,1] => [8,7,6,5,2,3,4,1] => 0011111
[6,7,8,5,2,3,4,1] => [4,5,2,3,8,6,7,1] => [6,7,8,5,2,3,4,1] => 0011001
[8,7,5,6,2,3,4,1] => [4,6,2,3,7,5,8,1] => [8,7,5,6,2,3,4,1] => 0010111
[8,5,6,7,2,3,4,1] => [4,7,2,3,8,5,6,1] => [8,5,6,7,2,3,4,1] => 0010011
[7,6,5,8,2,3,4,1] => [4,8,2,3,6,7,5,1] => [7,6,5,8,2,3,4,1] => 0010111
[6,5,7,8,2,3,4,1] => [4,8,2,3,6,5,7,1] => [6,5,7,8,2,3,4,1] => 0010101
[5,6,7,8,2,3,4,1] => [4,8,2,3,5,6,7,1] => [5,6,7,8,2,3,4,1] => 0010001
[7,8,6,4,3,2,5,1] => [5,3,4,6,2,8,7,1] => [7,8,6,4,3,2,5,1] => 0111101
[7,6,8,4,3,2,5,1] => [5,3,4,8,2,7,6,1] => [7,6,8,4,3,2,5,1] => 0111011
[6,7,8,4,3,2,5,1] => [5,3,4,8,2,6,7,1] => [6,7,8,4,3,2,5,1] => 0111001
[8,7,6,3,4,2,5,1] => [5,4,6,3,2,7,8,1] => [8,7,6,3,4,2,5,1] => 0011111
[7,8,6,3,4,2,5,1] => [5,4,6,3,2,8,7,1] => [7,8,6,3,4,2,5,1] => 0011101
[8,6,7,3,4,2,5,1] => [5,4,7,3,2,8,6,1] => [8,6,7,3,4,2,5,1] => 0011011
[7,6,8,3,4,2,5,1] => [5,4,8,3,2,7,6,1] => [7,6,8,3,4,2,5,1] => 0011011
[6,7,8,3,4,2,5,1] => [5,4,8,3,2,6,7,1] => [6,7,8,3,4,2,5,1] => 0011001
[8,7,6,4,2,3,5,1] => [5,4,2,6,3,7,8,1] => [8,7,6,4,2,3,5,1] => 0011111
[8,6,7,4,2,3,5,1] => [5,4,2,7,3,8,6,1] => [8,6,7,4,2,3,5,1] => 0011011
[6,7,8,4,2,3,5,1] => [5,4,2,8,3,6,7,1] => [6,7,8,4,2,3,5,1] => 0011001
[8,7,6,3,2,4,5,1] => [5,3,6,2,4,7,8,1] => [8,7,6,3,2,4,5,1] => 0101111
[7,8,6,3,2,4,5,1] => [5,3,6,2,4,8,7,1] => [7,8,6,3,2,4,5,1] => 0101101
[8,6,7,3,2,4,5,1] => [5,3,7,2,4,8,6,1] => [8,6,7,3,2,4,5,1] => 0101011
[6,7,8,3,2,4,5,1] => [5,3,8,2,4,6,7,1] => [6,7,8,3,2,4,5,1] => 0101001
[8,7,6,2,3,4,5,1] => [5,6,2,3,4,7,8,1] => [8,7,6,2,3,4,5,1] => 0001111
[8,6,7,2,3,4,5,1] => [5,7,2,3,4,8,6,1] => [8,6,7,2,3,4,5,1] => 0001011
[7,6,8,2,3,4,5,1] => [5,8,2,3,4,7,6,1] => [7,6,8,2,3,4,5,1] => 0001011
[6,7,8,2,3,4,5,1] => [5,8,2,3,4,6,7,1] => [6,7,8,2,3,4,5,1] => 0001001
[8,7,5,4,3,2,6,1] => [6,3,4,5,7,2,8,1] => [8,7,5,4,3,2,6,1] => 0111111
[7,8,5,4,3,2,6,1] => [6,3,4,5,8,2,7,1] => [7,8,5,4,3,2,6,1] => 0111101
[8,7,5,3,4,2,6,1] => [6,4,5,3,7,2,8,1] => [8,7,5,3,4,2,6,1] => 0011111
[7,8,5,3,4,2,6,1] => [6,4,5,3,8,2,7,1] => [7,8,5,3,4,2,6,1] => 0011101
[8,7,4,3,5,2,6,1] => [6,5,4,7,3,2,8,1] => [8,7,4,3,5,2,6,1] => 0011111
[7,8,4,3,5,2,6,1] => [6,5,4,8,3,2,7,1] => [7,8,4,3,5,2,6,1] => 0011101
[8,7,5,4,2,3,6,1] => [6,4,2,5,7,3,8,1] => [8,7,5,4,2,3,6,1] => 0011111
[8,7,5,3,2,4,6,1] => [6,3,5,2,7,4,8,1] => [8,7,5,3,2,4,6,1] => 0101111
[7,8,4,3,2,5,6,1] => [6,3,4,8,2,5,7,1] => [7,8,4,3,2,5,6,1] => 0110101
[7,8,4,2,3,5,6,1] => [6,4,2,8,3,5,7,1] => [7,8,4,2,3,5,6,1] => 0010101
[7,8,3,2,4,5,6,1] => [6,3,8,2,4,5,7,1] => [7,8,3,2,4,5,6,1] => 0100101
[8,7,2,3,4,5,6,1] => [6,7,2,3,4,5,8,1] => [8,7,2,3,4,5,6,1] => 0000111
[8,6,5,4,3,2,7,1] => [7,3,4,5,6,8,2,1] => [8,6,5,4,3,2,7,1] => 0111111
[8,5,6,3,4,2,7,1] => [7,4,6,3,8,5,2,1] => [8,5,6,3,4,2,7,1] => 0010111
[8,6,4,3,5,2,7,1] => [7,5,4,6,3,8,2,1] => [8,6,4,3,5,2,7,1] => 0011111
[8,5,4,3,6,2,7,1] => [7,6,4,5,8,3,2,1] => [8,5,4,3,6,2,7,1] => 0011111
[8,4,5,3,6,2,7,1] => [7,6,5,8,4,3,2,1] => [8,4,5,3,6,2,7,1] => 0001111
[8,4,3,5,6,2,7,1] => [7,6,4,8,3,5,2,1] => [8,4,3,5,6,2,7,1] => 0010111
[8,3,4,5,6,2,7,1] => [7,6,8,3,4,5,2,1] => [8,3,4,5,6,2,7,1] => 0000111
[8,5,6,4,2,3,7,1] => [7,4,2,6,8,5,3,1] => [8,5,6,4,2,3,7,1] => 0010111
[8,5,4,3,2,6,7,1] => [7,3,4,5,8,2,6,1] => [8,5,4,3,2,6,7,1] => 0111011
[8,4,5,3,2,6,7,1] => [7,3,5,8,4,2,6,1] => [8,4,5,3,2,6,7,1] => 0101011
[8,5,3,4,2,6,7,1] => [7,4,5,3,8,2,6,1] => [8,5,3,4,2,6,7,1] => 0011011
[8,3,4,5,2,6,7,1] => [7,5,8,3,4,2,6,1] => [8,3,4,5,2,6,7,1] => 0001011
[8,5,4,2,3,6,7,1] => [7,4,2,5,8,3,6,1] => [8,5,4,2,3,6,7,1] => 0011011
[8,5,2,3,4,6,7,1] => [7,5,2,3,8,4,6,1] => [8,5,2,3,4,6,7,1] => 0001011
[8,3,4,2,5,6,7,1] => [7,4,8,3,2,5,6,1] => [8,3,4,2,5,6,7,1] => 0010011
[8,3,2,4,5,6,7,1] => [7,3,8,2,4,5,6,1] => [8,3,2,4,5,6,7,1] => 0100011
[8,2,3,4,5,6,7,1] => [7,8,2,3,4,5,6,1] => [8,2,3,4,5,6,7,1] => 0000011
[7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,2,1] => [7,6,5,4,3,2,8,1] => 0111111
[6,7,5,4,3,2,8,1] => [8,3,4,5,7,6,2,1] => [6,7,5,4,3,2,8,1] => 0111011
[6,5,7,4,3,2,8,1] => [8,3,4,7,6,5,2,1] => [6,5,7,4,3,2,8,1] => 0110111
[7,6,4,5,3,2,8,1] => [8,3,5,6,4,7,2,1] => [7,6,4,5,3,2,8,1] => 0101111
[6,5,4,7,3,2,8,1] => [8,3,7,5,6,4,2,1] => [6,5,4,7,3,2,8,1] => 0101111
[4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1] => [4,5,6,7,3,2,8,1] => 0100011
[7,5,6,3,4,2,8,1] => [8,4,6,3,7,5,2,1] => [7,5,6,3,4,2,8,1] => 0010111
[6,5,7,3,4,2,8,1] => [8,4,7,3,6,5,2,1] => [6,5,7,3,4,2,8,1] => 0010111
[5,6,7,3,4,2,8,1] => [8,4,7,3,5,6,2,1] => [5,6,7,3,4,2,8,1] => 0010011
[7,6,4,3,5,2,8,1] => [8,5,4,6,3,7,2,1] => [7,6,4,3,5,2,8,1] => 0011111
[7,5,4,3,6,2,8,1] => [8,6,4,5,7,3,2,1] => [7,5,4,3,6,2,8,1] => 0011111
[7,4,5,3,6,2,8,1] => [8,6,5,7,4,3,2,1] => [7,4,5,3,6,2,8,1] => 0001111
[7,5,3,4,6,2,8,1] => [8,6,5,3,7,4,2,1] => [7,5,3,4,6,2,8,1] => 0001111
[7,3,4,5,6,2,8,1] => [8,6,7,3,4,5,2,1] => [7,3,4,5,6,2,8,1] => 0000111
[6,5,4,3,7,2,8,1] => [8,7,4,5,6,3,2,1] => [6,5,4,3,7,2,8,1] => 0011111
[6,4,5,3,7,2,8,1] => [8,7,5,6,4,3,2,1] => [6,4,5,3,7,2,8,1] => 0001111
[5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1] => [5,4,6,3,7,2,8,1] => 0001111
[4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1] => [4,5,6,3,7,2,8,1] => 0000111
[6,5,3,4,7,2,8,1] => [8,7,5,3,6,4,2,1] => [6,5,3,4,7,2,8,1] => 0001111
[5,6,3,4,7,2,8,1] => [8,7,6,3,5,4,2,1] => [5,6,3,4,7,2,8,1] => 0000111
[6,4,3,5,7,2,8,1] => [8,7,4,6,3,5,2,1] => [6,4,3,5,7,2,8,1] => 0010111
[6,3,4,5,7,2,8,1] => [8,7,6,3,4,5,2,1] => [6,3,4,5,7,2,8,1] => 0000111
[5,4,3,6,7,2,8,1] => [8,7,4,5,3,6,2,1] => [5,4,3,6,7,2,8,1] => 0011011
[4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => [4,5,3,6,7,2,8,1] => 0001011
[4,3,5,6,7,2,8,1] => [8,7,4,3,5,6,2,1] => [4,3,5,6,7,2,8,1] => 0010011
[3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1] => [3,4,5,6,7,2,8,1] => 0000011
[7,6,5,4,2,3,8,1] => [8,4,2,5,6,7,3,1] => [7,6,5,4,2,3,8,1] => 0011111
[6,7,5,4,2,3,8,1] => [8,4,2,5,7,6,3,1] => [6,7,5,4,2,3,8,1] => 0011011
[7,5,6,4,2,3,8,1] => [8,4,2,6,7,5,3,1] => [7,5,6,4,2,3,8,1] => 0010111
[6,5,7,4,2,3,8,1] => [8,4,2,7,6,5,3,1] => [6,5,7,4,2,3,8,1] => 0010111
[7,6,4,5,2,3,8,1] => [8,5,2,6,4,7,3,1] => [7,6,4,5,2,3,8,1] => 0001111
[6,7,4,5,2,3,8,1] => [8,5,2,7,4,6,3,1] => [6,7,4,5,2,3,8,1] => 0001011
[7,5,4,6,2,3,8,1] => [8,6,2,5,7,4,3,1] => [7,5,4,6,2,3,8,1] => 0001111
[7,4,5,6,2,3,8,1] => [8,6,2,7,4,5,3,1] => [7,4,5,6,2,3,8,1] => 0000111
[6,5,4,7,2,3,8,1] => [8,7,2,5,6,4,3,1] => [6,5,4,7,2,3,8,1] => 0001111
[5,6,4,7,2,3,8,1] => [8,7,2,6,5,4,3,1] => [5,6,4,7,2,3,8,1] => 0000111
[6,4,5,7,2,3,8,1] => [8,7,2,6,4,5,3,1] => [6,4,5,7,2,3,8,1] => 0000111
[4,5,6,7,2,3,8,1] => [8,7,2,4,5,6,3,1] => [4,5,6,7,2,3,8,1] => 0000011
[6,5,7,3,2,4,8,1] => [8,3,7,2,6,5,4,1] => [6,5,7,3,2,4,8,1] => 0100111
[7,6,5,2,3,4,8,1] => [8,5,2,3,6,7,4,1] => [7,6,5,2,3,4,8,1] => 0001111
[7,5,6,2,3,4,8,1] => [8,6,2,3,7,5,4,1] => [7,5,6,2,3,4,8,1] => 0000111
[6,7,4,3,2,5,8,1] => [8,3,4,7,2,6,5,1] => [6,7,4,3,2,5,8,1] => 0110011
[7,6,4,2,3,5,8,1] => [8,4,2,6,3,7,5,1] => [7,6,4,2,3,5,8,1] => 0010111
[7,6,3,2,4,5,8,1] => [8,3,6,2,4,7,5,1] => [7,6,3,2,4,5,8,1] => 0100111
[7,5,4,2,3,6,8,1] => [8,4,2,5,7,3,6,1] => [7,5,4,2,3,6,8,1] => 0011011
[7,5,3,2,4,6,8,1] => [8,3,5,2,7,4,6,1] => [7,5,3,2,4,6,8,1] => 0101011
[7,5,2,3,4,6,8,1] => [8,5,2,3,7,4,6,1] => [7,5,2,3,4,6,8,1] => 0001011
[7,4,3,2,5,6,8,1] => [8,3,4,7,2,5,6,1] => [7,4,3,2,5,6,8,1] => 0110011
[7,4,2,3,5,6,8,1] => [8,4,2,7,3,5,6,1] => [7,4,2,3,5,6,8,1] => 0010011
[7,3,2,4,5,6,8,1] => [8,3,7,2,4,5,6,1] => [7,3,2,4,5,6,8,1] => 0100011
[7,2,3,4,5,6,8,1] => [8,7,2,3,4,5,6,1] => [7,2,3,4,5,6,8,1] => 0000011
[6,5,4,3,2,7,8,1] => [8,3,4,5,6,2,7,1] => [6,5,4,3,2,7,8,1] => 0111101
[5,4,6,3,2,7,8,1] => [8,3,6,5,4,2,7,1] => [5,4,6,3,2,7,8,1] => 0101101
[4,5,6,3,2,7,8,1] => [8,3,6,4,5,2,7,1] => [4,5,6,3,2,7,8,1] => 0100101
[6,5,3,4,2,7,8,1] => [8,4,5,3,6,2,7,1] => [6,5,3,4,2,7,8,1] => 0011101
[6,3,4,5,2,7,8,1] => [8,5,6,3,4,2,7,1] => [6,3,4,5,2,7,8,1] => 0001101
[5,4,3,6,2,7,8,1] => [8,6,4,5,3,2,7,1] => [5,4,3,6,2,7,8,1] => 0011101
[4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1] => [4,3,5,6,2,7,8,1] => 0010101
[3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,2,7,8,1] => 0000101
[6,5,4,2,3,7,8,1] => [8,4,2,5,6,3,7,1] => [6,5,4,2,3,7,8,1] => 0011101
[5,6,4,2,3,7,8,1] => [8,4,2,6,5,3,7,1] => [5,6,4,2,3,7,8,1] => 0010101
[5,4,6,2,3,7,8,1] => [8,6,2,5,4,3,7,1] => [5,4,6,2,3,7,8,1] => 0001101
[4,5,6,2,3,7,8,1] => [8,6,2,4,5,3,7,1] => [4,5,6,2,3,7,8,1] => 0000101
[6,2,3,4,5,7,8,1] => [8,6,2,3,4,5,7,1] => [6,2,3,4,5,7,8,1] => 0000101
[5,4,3,2,6,7,8,1] => [8,3,4,5,2,6,7,1] => [5,4,3,2,6,7,8,1] => 0111001
[4,5,3,2,6,7,8,1] => [8,3,5,4,2,6,7,1] => [4,5,3,2,6,7,8,1] => 0101001
[5,3,4,2,6,7,8,1] => [8,4,5,3,2,6,7,1] => [5,3,4,2,6,7,8,1] => 0011001
[4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1] => [4,3,5,2,6,7,8,1] => 0011001
[3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1] => [3,4,5,2,6,7,8,1] => 0001001
[5,4,2,3,6,7,8,1] => [8,4,2,5,3,6,7,1] => [5,4,2,3,6,7,8,1] => 0011001
[4,3,2,5,6,7,8,1] => [8,3,4,2,5,6,7,1] => [4,3,2,5,6,7,8,1] => 0110001
[3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,2,5,6,7,8,1] => 0010001
[4,2,3,5,6,7,8,1] => [8,4,2,3,5,6,7,1] => [4,2,3,5,6,7,8,1] => 0010001
[3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [3,2,4,5,6,7,8,1] => 0100001
[2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => 0000001
[8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,2] => [8,7,6,5,4,3,1,2] => 0111111
[7,8,6,5,4,3,1,2] => [3,1,4,5,6,8,7,2] => [7,8,6,5,4,3,1,2] => 0111101
[8,6,7,5,4,3,1,2] => [3,1,4,5,7,8,6,2] => [8,6,7,5,4,3,1,2] => 0111011
[6,7,8,5,4,3,1,2] => [3,1,4,5,8,6,7,2] => [6,7,8,5,4,3,1,2] => 0111001
[8,7,5,6,4,3,1,2] => [3,1,4,6,7,5,8,2] => [8,7,5,6,4,3,1,2] => 0110111
[7,8,5,6,4,3,1,2] => [3,1,4,6,8,5,7,2] => [7,8,5,6,4,3,1,2] => 0110101
[8,6,5,7,4,3,1,2] => [3,1,4,7,6,8,5,2] => [8,6,5,7,4,3,1,2] => 0110111
[6,7,5,8,4,3,1,2] => [3,1,4,8,7,6,5,2] => [6,7,5,8,4,3,1,2] => 0110011
[6,5,7,8,4,3,1,2] => [3,1,4,8,6,5,7,2] => [6,5,7,8,4,3,1,2] => 0110101
[5,6,7,8,4,3,1,2] => [3,1,4,8,5,6,7,2] => [5,6,7,8,4,3,1,2] => 0110001
[8,7,6,4,5,3,1,2] => [3,1,5,6,4,7,8,2] => [8,7,6,4,5,3,1,2] => 0101111
[7,8,6,4,5,3,1,2] => [3,1,5,6,4,8,7,2] => [7,8,6,4,5,3,1,2] => 0101101
[8,6,7,4,5,3,1,2] => [3,1,5,7,4,8,6,2] => [8,6,7,4,5,3,1,2] => 0101011
[8,7,5,4,6,3,1,2] => [3,1,6,5,7,4,8,2] => [8,7,5,4,6,3,1,2] => 0101111
[7,8,4,5,6,3,1,2] => [3,1,6,8,4,5,7,2] => [7,8,4,5,6,3,1,2] => 0100101
[8,5,6,4,7,3,1,2] => [3,1,7,6,8,5,4,2] => [8,5,6,4,7,3,1,2] => 0100111
[8,6,4,5,7,3,1,2] => [3,1,7,6,4,8,5,2] => [8,6,4,5,7,3,1,2] => 0100111
[7,5,6,4,8,3,1,2] => [3,1,8,6,7,5,4,2] => [7,5,6,4,8,3,1,2] => 0100111
[6,5,7,4,8,3,1,2] => [3,1,8,7,6,5,4,2] => [6,5,7,4,8,3,1,2] => 0100111
[7,6,4,5,8,3,1,2] => [3,1,8,6,4,7,5,2] => [7,6,4,5,8,3,1,2] => 0100111
[5,4,6,7,8,3,1,2] => [3,1,8,5,4,6,7,2] => [5,4,6,7,8,3,1,2] => 0101001
[4,5,6,7,8,3,1,2] => [3,1,8,4,5,6,7,2] => [4,5,6,7,8,3,1,2] => 0100001
[8,7,6,5,3,4,1,2] => [4,1,5,3,6,7,8,2] => [8,7,6,5,3,4,1,2] => 0011111
[7,8,6,5,3,4,1,2] => [4,1,5,3,6,8,7,2] => [7,8,6,5,3,4,1,2] => 0011101
[7,6,8,5,3,4,1,2] => [4,1,5,3,8,7,6,2] => [7,6,8,5,3,4,1,2] => 0011011
[6,7,8,5,3,4,1,2] => [4,1,5,3,8,6,7,2] => [6,7,8,5,3,4,1,2] => 0011001
[8,7,5,6,3,4,1,2] => [4,1,6,3,7,5,8,2] => [8,7,5,6,3,4,1,2] => 0010111
[7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,7,2] => [7,8,5,6,3,4,1,2] => 0010101
[8,6,5,7,3,4,1,2] => [4,1,7,3,6,8,5,2] => [8,6,5,7,3,4,1,2] => 0010111
[8,5,6,7,3,4,1,2] => [4,1,7,3,8,5,6,2] => [8,5,6,7,3,4,1,2] => 0010011
[7,6,5,8,3,4,1,2] => [4,1,8,3,6,7,5,2] => [7,6,5,8,3,4,1,2] => 0010111
[7,5,6,8,3,4,1,2] => [4,1,8,3,7,5,6,2] => [7,5,6,8,3,4,1,2] => 0010011
[6,5,7,8,3,4,1,2] => [4,1,8,3,6,5,7,2] => [6,5,7,8,3,4,1,2] => 0010101
[5,6,7,8,3,4,1,2] => [4,1,8,3,5,6,7,2] => [5,6,7,8,3,4,1,2] => 0010001
[8,7,6,3,4,5,1,2] => [5,1,6,3,4,7,8,2] => [8,7,6,3,4,5,1,2] => 0001111
[8,6,7,3,4,5,1,2] => [5,1,7,3,4,8,6,2] => [8,6,7,3,4,5,1,2] => 0001011
[6,7,8,3,4,5,1,2] => [5,1,8,3,4,6,7,2] => [6,7,8,3,4,5,1,2] => 0001001
[7,8,5,4,3,6,1,2] => [6,1,4,5,8,3,7,2] => [7,8,5,4,3,6,1,2] => 0011101
[7,8,5,3,4,6,1,2] => [6,1,5,3,8,4,7,2] => [7,8,5,3,4,6,1,2] => 0001101
[7,8,4,3,5,6,1,2] => [6,1,4,8,3,5,7,2] => [7,8,4,3,5,6,1,2] => 0010101
[8,7,3,4,5,6,1,2] => [6,1,7,3,4,5,8,2] => [8,7,3,4,5,6,1,2] => 0000111
[7,8,3,4,5,6,1,2] => [6,1,8,3,4,5,7,2] => [7,8,3,4,5,6,1,2] => 0000101
[8,6,5,4,3,7,1,2] => [7,1,4,5,6,8,3,2] => [8,6,5,4,3,7,1,2] => 0011111
[8,5,4,6,3,7,1,2] => [7,1,6,5,8,4,3,2] => [8,5,4,6,3,7,1,2] => 0001111
[8,5,4,3,6,7,1,2] => [7,1,4,5,8,3,6,2] => [8,5,4,3,6,7,1,2] => 0011011
[8,5,3,4,6,7,1,2] => [7,1,5,3,8,4,6,2] => [8,5,3,4,6,7,1,2] => 0001011
[8,4,3,5,6,7,1,2] => [7,1,4,8,3,5,6,2] => [8,4,3,5,6,7,1,2] => 0010011
[8,3,4,5,6,7,1,2] => [7,1,8,3,4,5,6,2] => [8,3,4,5,6,7,1,2] => 0000011
[7,6,5,4,3,8,1,2] => [8,1,4,5,6,7,3,2] => [7,6,5,4,3,8,1,2] => 0011111
[6,5,7,4,3,8,1,2] => [8,1,4,7,6,5,3,2] => [6,5,7,4,3,8,1,2] => 0010111
[6,7,4,5,3,8,1,2] => [8,1,5,7,4,6,3,2] => [6,7,4,5,3,8,1,2] => 0001011
[7,5,4,6,3,8,1,2] => [8,1,6,5,7,4,3,2] => [7,5,4,6,3,8,1,2] => 0001111
[6,5,4,7,3,8,1,2] => [8,1,7,5,6,4,3,2] => [6,5,4,7,3,8,1,2] => 0001111
[5,6,4,7,3,8,1,2] => [8,1,7,6,5,4,3,2] => [5,6,4,7,3,8,1,2] => 0000111
[7,5,6,3,4,8,1,2] => [8,1,6,3,7,5,4,2] => [7,5,6,3,4,8,1,2] => 0000111
[5,6,7,3,4,8,1,2] => [8,1,7,3,5,6,4,2] => [5,6,7,3,4,8,1,2] => 0000011
[7,6,4,3,5,8,1,2] => [8,1,4,6,3,7,5,2] => [7,6,4,3,5,8,1,2] => 0010111
[7,5,4,3,6,8,1,2] => [8,1,4,5,7,3,6,2] => [7,5,4,3,6,8,1,2] => 0011011
[7,5,3,4,6,8,1,2] => [8,1,5,3,7,4,6,2] => [7,5,3,4,6,8,1,2] => 0001011
[7,3,4,5,6,8,1,2] => [8,1,7,3,4,5,6,2] => [7,3,4,5,6,8,1,2] => 0000011
[6,5,4,3,7,8,1,2] => [8,1,4,5,6,3,7,2] => [6,5,4,3,7,8,1,2] => 0011101
[5,6,4,3,7,8,1,2] => [8,1,4,6,5,3,7,2] => [5,6,4,3,7,8,1,2] => 0010101
[6,5,3,4,7,8,1,2] => [8,1,5,3,6,4,7,2] => [6,5,3,4,7,8,1,2] => 0001101
[5,6,3,4,7,8,1,2] => [8,1,6,3,5,4,7,2] => [5,6,3,4,7,8,1,2] => 0000101
[6,4,3,5,7,8,1,2] => [8,1,4,6,3,5,7,2] => [6,4,3,5,7,8,1,2] => 0010101
[6,3,4,5,7,8,1,2] => [8,1,6,3,4,5,7,2] => [6,3,4,5,7,8,1,2] => 0000101
[5,4,3,6,7,8,1,2] => [8,1,4,5,3,6,7,2] => [5,4,3,6,7,8,1,2] => 0011001
[4,5,3,6,7,8,1,2] => [8,1,5,4,3,6,7,2] => [4,5,3,6,7,8,1,2] => 0001001
[4,3,5,6,7,8,1,2] => [8,1,4,3,5,6,7,2] => [4,3,5,6,7,8,1,2] => 0010001
[3,4,5,6,7,8,1,2] => [8,1,3,4,5,6,7,2] => [3,4,5,6,7,8,1,2] => 0000001
[8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,3] => [8,7,6,5,4,2,1,3] => 1011111
[7,6,8,5,4,2,1,3] => [2,4,1,5,8,7,6,3] => [7,6,8,5,4,2,1,3] => 1011011
[8,7,5,6,4,2,1,3] => [2,4,1,6,7,5,8,3] => [8,7,5,6,4,2,1,3] => 1010111
[7,8,5,6,4,2,1,3] => [2,4,1,6,8,5,7,3] => [7,8,5,6,4,2,1,3] => 1010101
[8,6,5,7,4,2,1,3] => [2,4,1,7,6,8,5,3] => [8,6,5,7,4,2,1,3] => 1010111
[7,6,5,8,4,2,1,3] => [2,4,1,8,6,7,5,3] => [7,6,5,8,4,2,1,3] => 1010111
[6,7,5,8,4,2,1,3] => [2,4,1,8,7,6,5,3] => [6,7,5,8,4,2,1,3] => 1010011
[5,6,7,8,4,2,1,3] => [2,4,1,8,5,6,7,3] => [5,6,7,8,4,2,1,3] => 1010001
[8,6,7,4,5,2,1,3] => [2,5,1,7,4,8,6,3] => [8,6,7,4,5,2,1,3] => 1001011
[7,6,8,4,5,2,1,3] => [2,5,1,8,4,7,6,3] => [7,6,8,4,5,2,1,3] => 1001011
[8,6,5,4,7,2,1,3] => [2,7,1,5,6,8,4,3] => [8,6,5,4,7,2,1,3] => 1001111
[8,4,5,6,7,2,1,3] => [2,7,1,8,4,5,6,3] => [8,4,5,6,7,2,1,3] => 1000011
[6,5,7,4,8,2,1,3] => [2,8,1,7,6,5,4,3] => [6,5,7,4,8,2,1,3] => 1000111
[5,6,7,4,8,2,1,3] => [2,8,1,7,5,6,4,3] => [5,6,7,4,8,2,1,3] => 1000011
[7,6,4,5,8,2,1,3] => [2,8,1,6,4,7,5,3] => [7,6,4,5,8,2,1,3] => 1000111
[5,4,6,7,8,2,1,3] => [2,8,1,5,4,6,7,3] => [5,4,6,7,8,2,1,3] => 1001001
[4,5,6,7,8,2,1,3] => [2,8,1,4,5,6,7,3] => [4,5,6,7,8,2,1,3] => 1000001
[8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,3] => [8,7,6,5,4,1,2,3] => 0011111
[7,8,6,5,4,1,2,3] => [4,1,2,5,6,8,7,3] => [7,8,6,5,4,1,2,3] => 0011101
[7,6,8,5,4,1,2,3] => [4,1,2,5,8,7,6,3] => [7,6,8,5,4,1,2,3] => 0011011
[6,7,8,5,4,1,2,3] => [4,1,2,5,8,6,7,3] => [6,7,8,5,4,1,2,3] => 0011001
[7,8,5,6,4,1,2,3] => [4,1,2,6,8,5,7,3] => [7,8,5,6,4,1,2,3] => 0010101
[8,5,6,7,4,1,2,3] => [4,1,2,7,8,5,6,3] => [8,5,6,7,4,1,2,3] => 0010011
[6,7,5,8,4,1,2,3] => [4,1,2,8,7,6,5,3] => [6,7,5,8,4,1,2,3] => 0010011
[7,5,6,8,4,1,2,3] => [4,1,2,8,7,5,6,3] => [7,5,6,8,4,1,2,3] => 0010011
[5,6,7,8,4,1,2,3] => [4,1,2,8,5,6,7,3] => [5,6,7,8,4,1,2,3] => 0010001
[8,7,6,4,5,1,2,3] => [5,1,2,6,4,7,8,3] => [8,7,6,4,5,1,2,3] => 0001111
[8,6,7,4,5,1,2,3] => [5,1,2,7,4,8,6,3] => [8,6,7,4,5,1,2,3] => 0001011
[6,7,8,4,5,1,2,3] => [5,1,2,8,4,6,7,3] => [6,7,8,4,5,1,2,3] => 0001001
[8,7,5,4,6,1,2,3] => [6,1,2,5,7,4,8,3] => [8,7,5,4,6,1,2,3] => 0001111
[7,8,5,4,6,1,2,3] => [6,1,2,5,8,4,7,3] => [7,8,5,4,6,1,2,3] => 0001101
[8,7,4,5,6,1,2,3] => [6,1,2,7,4,5,8,3] => [8,7,4,5,6,1,2,3] => 0000111
[7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,7,3] => [7,8,4,5,6,1,2,3] => 0000101
[8,5,6,4,7,1,2,3] => [7,1,2,6,8,5,4,3] => [8,5,6,4,7,1,2,3] => 0000111
[8,5,4,6,7,1,2,3] => [7,1,2,5,8,4,6,3] => [8,5,4,6,7,1,2,3] => 0001011
[8,4,5,6,7,1,2,3] => [7,1,2,8,4,5,6,3] => [8,4,5,6,7,1,2,3] => 0000011
[7,6,5,4,8,1,2,3] => [8,1,2,5,6,7,4,3] => [7,6,5,4,8,1,2,3] => 0001111
[7,5,6,4,8,1,2,3] => [8,1,2,6,7,5,4,3] => [7,5,6,4,8,1,2,3] => 0000111
[6,5,7,4,8,1,2,3] => [8,1,2,7,6,5,4,3] => [6,5,7,4,8,1,2,3] => 0000111
[7,6,4,5,8,1,2,3] => [8,1,2,6,4,7,5,3] => [7,6,4,5,8,1,2,3] => 0000111
[6,7,4,5,8,1,2,3] => [8,1,2,7,4,6,5,3] => [6,7,4,5,8,1,2,3] => 0000011
[7,5,4,6,8,1,2,3] => [8,1,2,5,7,4,6,3] => [7,5,4,6,8,1,2,3] => 0001011
[7,4,5,6,8,1,2,3] => [8,1,2,7,4,5,6,3] => [7,4,5,6,8,1,2,3] => 0000011
[6,4,5,7,8,1,2,3] => [8,1,2,6,4,5,7,3] => [6,4,5,7,8,1,2,3] => 0000101
[4,5,6,7,8,1,2,3] => [8,1,2,4,5,6,7,3] => [4,5,6,7,8,1,2,3] => 0000001
[8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,4] => [8,7,6,5,3,2,1,4] => 1101111
[7,6,8,5,3,2,1,4] => [2,3,5,1,8,7,6,4] => [7,6,8,5,3,2,1,4] => 1101011
[8,7,5,6,3,2,1,4] => [2,3,6,1,7,5,8,4] => [8,7,5,6,3,2,1,4] => 1100111
[7,8,5,6,3,2,1,4] => [2,3,6,1,8,5,7,4] => [7,8,5,6,3,2,1,4] => 1100101
[8,6,5,7,3,2,1,4] => [2,3,7,1,6,8,5,4] => [8,6,5,7,3,2,1,4] => 1100111
[8,5,6,7,3,2,1,4] => [2,3,7,1,8,5,6,4] => [8,5,6,7,3,2,1,4] => 1100011
[7,6,5,8,3,2,1,4] => [2,3,8,1,6,7,5,4] => [7,6,5,8,3,2,1,4] => 1100111
[6,7,5,8,3,2,1,4] => [2,3,8,1,7,6,5,4] => [6,7,5,8,3,2,1,4] => 1100011
[6,5,7,8,3,2,1,4] => [2,3,8,1,6,5,7,4] => [6,5,7,8,3,2,1,4] => 1100101
[5,6,7,8,3,2,1,4] => [2,3,8,1,5,6,7,4] => [5,6,7,8,3,2,1,4] => 1100001
[8,7,6,5,2,3,1,4] => [3,5,2,1,6,7,8,4] => [8,7,6,5,2,3,1,4] => 0101111
[7,8,6,5,2,3,1,4] => [3,5,2,1,6,8,7,4] => [7,8,6,5,2,3,1,4] => 0101101
[8,6,7,5,2,3,1,4] => [3,5,2,1,7,8,6,4] => [8,6,7,5,2,3,1,4] => 0101011
[7,6,8,5,2,3,1,4] => [3,5,2,1,8,7,6,4] => [7,6,8,5,2,3,1,4] => 0101011
[8,7,5,6,2,3,1,4] => [3,6,2,1,7,5,8,4] => [8,7,5,6,2,3,1,4] => 0100111
[8,5,6,7,2,3,1,4] => [3,7,2,1,8,5,6,4] => [8,5,6,7,2,3,1,4] => 0100011
[7,6,5,8,2,3,1,4] => [3,8,2,1,6,7,5,4] => [7,6,5,8,2,3,1,4] => 0100111
[6,7,5,8,2,3,1,4] => [3,8,2,1,7,6,5,4] => [6,7,5,8,2,3,1,4] => 0100011
[7,5,6,8,2,3,1,4] => [3,8,2,1,7,5,6,4] => [7,5,6,8,2,3,1,4] => 0100011
[5,6,7,8,2,3,1,4] => [3,8,2,1,5,6,7,4] => [5,6,7,8,2,3,1,4] => 0100001
[8,7,6,5,3,1,2,4] => [3,1,5,2,6,7,8,4] => [8,7,6,5,3,1,2,4] => 0101111
[8,6,7,5,3,1,2,4] => [3,1,5,2,7,8,6,4] => [8,6,7,5,3,1,2,4] => 0101011
[7,6,8,5,3,1,2,4] => [3,1,5,2,8,7,6,4] => [7,6,8,5,3,1,2,4] => 0101011
[8,7,5,6,3,1,2,4] => [3,1,6,2,7,5,8,4] => [8,7,5,6,3,1,2,4] => 0100111
[7,8,5,6,3,1,2,4] => [3,1,6,2,8,5,7,4] => [7,8,5,6,3,1,2,4] => 0100101
[7,6,5,8,3,1,2,4] => [3,1,8,2,6,7,5,4] => [7,6,5,8,3,1,2,4] => 0100111
[6,7,5,8,3,1,2,4] => [3,1,8,2,7,6,5,4] => [6,7,5,8,3,1,2,4] => 0100011
[7,5,6,8,3,1,2,4] => [3,1,8,2,7,5,6,4] => [7,5,6,8,3,1,2,4] => 0100011
[6,5,7,8,3,1,2,4] => [3,1,8,2,6,5,7,4] => [6,5,7,8,3,1,2,4] => 0100101
[5,6,7,8,3,1,2,4] => [3,1,8,2,5,6,7,4] => [5,6,7,8,3,1,2,4] => 0100001
[8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,4] => [8,7,6,5,2,1,3,4] => 1001111
[7,8,6,5,2,1,3,4] => [2,5,1,3,6,8,7,4] => [7,8,6,5,2,1,3,4] => 1001101
[6,7,8,5,2,1,3,4] => [2,5,1,3,8,6,7,4] => [6,7,8,5,2,1,3,4] => 1001001
[7,8,5,6,2,1,3,4] => [2,6,1,3,8,5,7,4] => [7,8,5,6,2,1,3,4] => 1000101
[8,6,5,7,2,1,3,4] => [2,7,1,3,6,8,5,4] => [8,6,5,7,2,1,3,4] => 1000111
[8,5,6,7,2,1,3,4] => [2,7,1,3,8,5,6,4] => [8,5,6,7,2,1,3,4] => 1000011
[7,6,5,8,2,1,3,4] => [2,8,1,3,6,7,5,4] => [7,6,5,8,2,1,3,4] => 1000111
[6,7,5,8,2,1,3,4] => [2,8,1,3,7,6,5,4] => [6,7,5,8,2,1,3,4] => 1000011
[7,5,6,8,2,1,3,4] => [2,8,1,3,7,5,6,4] => [7,5,6,8,2,1,3,4] => 1000011
[6,5,7,8,2,1,3,4] => [2,8,1,3,6,5,7,4] => [6,5,7,8,2,1,3,4] => 1000101
[5,6,7,8,2,1,3,4] => [2,8,1,3,5,6,7,4] => [5,6,7,8,2,1,3,4] => 1000001
[8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,4] => [8,7,6,5,1,2,3,4] => 0001111
[7,8,6,5,1,2,3,4] => [5,1,2,3,6,8,7,4] => [7,8,6,5,1,2,3,4] => 0001101
[8,6,7,5,1,2,3,4] => [5,1,2,3,7,8,6,4] => [8,6,7,5,1,2,3,4] => 0001011
[7,6,8,5,1,2,3,4] => [5,1,2,3,8,7,6,4] => [7,6,8,5,1,2,3,4] => 0001011
[6,7,8,5,1,2,3,4] => [5,1,2,3,8,6,7,4] => [6,7,8,5,1,2,3,4] => 0001001
[8,7,5,6,1,2,3,4] => [6,1,2,3,7,5,8,4] => [8,7,5,6,1,2,3,4] => 0000111
[7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,7,4] => [7,8,5,6,1,2,3,4] => 0000101
[8,6,5,7,1,2,3,4] => [7,1,2,3,6,8,5,4] => [8,6,5,7,1,2,3,4] => 0000111
[8,5,6,7,1,2,3,4] => [7,1,2,3,8,5,6,4] => [8,5,6,7,1,2,3,4] => 0000011
[7,6,5,8,1,2,3,4] => [8,1,2,3,6,7,5,4] => [7,6,5,8,1,2,3,4] => 0000111
[6,7,5,8,1,2,3,4] => [8,1,2,3,7,6,5,4] => [6,7,5,8,1,2,3,4] => 0000011
[7,5,6,8,1,2,3,4] => [8,1,2,3,7,5,6,4] => [7,5,6,8,1,2,3,4] => 0000011
[6,5,7,8,1,2,3,4] => [8,1,2,3,6,5,7,4] => [6,5,7,8,1,2,3,4] => 0000101
[5,6,7,8,1,2,3,4] => [8,1,2,3,5,6,7,4] => [5,6,7,8,1,2,3,4] => 0000001
[8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,5] => [8,7,6,4,3,2,1,5] => 1110111
[7,8,6,4,3,2,1,5] => [2,3,4,6,1,8,7,5] => [7,8,6,4,3,2,1,5] => 1110101
[8,6,7,4,3,2,1,5] => [2,3,4,7,1,8,6,5] => [8,6,7,4,3,2,1,5] => 1110011
[7,6,8,4,3,2,1,5] => [2,3,4,8,1,7,6,5] => [7,6,8,4,3,2,1,5] => 1110011
[6,7,8,4,3,2,1,5] => [2,3,4,8,1,6,7,5] => [6,7,8,4,3,2,1,5] => 1110001
[8,7,6,3,4,2,1,5] => [2,4,6,3,1,7,8,5] => [8,7,6,3,4,2,1,5] => 1010111
[7,8,6,3,4,2,1,5] => [2,4,6,3,1,8,7,5] => [7,8,6,3,4,2,1,5] => 1010101
[6,7,8,3,4,2,1,5] => [2,4,8,3,1,6,7,5] => [6,7,8,3,4,2,1,5] => 1010001
[7,6,8,4,2,3,1,5] => [3,4,2,8,1,7,6,5] => [7,6,8,4,2,3,1,5] => 0110011
[6,7,8,4,2,3,1,5] => [3,4,2,8,1,6,7,5] => [6,7,8,4,2,3,1,5] => 0110001
[8,6,7,3,2,4,1,5] => [4,3,7,2,1,8,6,5] => [8,6,7,3,2,4,1,5] => 0110011
[6,7,8,3,2,4,1,5] => [4,3,8,2,1,6,7,5] => [6,7,8,3,2,4,1,5] => 0110001
[8,6,7,2,3,4,1,5] => [4,7,2,3,1,8,6,5] => [8,6,7,2,3,4,1,5] => 0010011
[6,7,8,2,3,4,1,5] => [4,8,2,3,1,6,7,5] => [6,7,8,2,3,4,1,5] => 0010001
[8,7,6,4,3,1,2,5] => [3,1,4,6,2,7,8,5] => [8,7,6,4,3,1,2,5] => 0110111
[6,7,8,4,3,1,2,5] => [3,1,4,8,2,6,7,5] => [6,7,8,4,3,1,2,5] => 0110001
[8,7,6,3,4,1,2,5] => [4,1,6,3,2,7,8,5] => [8,7,6,3,4,1,2,5] => 0010111
[8,6,7,3,4,1,2,5] => [4,1,7,3,2,8,6,5] => [8,6,7,3,4,1,2,5] => 0010011
[6,7,8,3,4,1,2,5] => [4,1,8,3,2,6,7,5] => [6,7,8,3,4,1,2,5] => 0010001
[8,7,6,4,2,1,3,5] => [2,4,1,6,3,7,8,5] => [8,7,6,4,2,1,3,5] => 1010111
[7,8,6,4,2,1,3,5] => [2,4,1,6,3,8,7,5] => [7,8,6,4,2,1,3,5] => 1010101
[8,6,7,4,2,1,3,5] => [2,4,1,7,3,8,6,5] => [8,6,7,4,2,1,3,5] => 1010011
[6,7,8,4,2,1,3,5] => [2,4,1,8,3,6,7,5] => [6,7,8,4,2,1,3,5] => 1010001
[8,7,6,4,1,2,3,5] => [4,1,2,6,3,7,8,5] => [8,7,6,4,1,2,3,5] => 0010111
[7,8,6,4,1,2,3,5] => [4,1,2,6,3,8,7,5] => [7,8,6,4,1,2,3,5] => 0010101
[7,6,8,4,1,2,3,5] => [4,1,2,8,3,7,6,5] => [7,6,8,4,1,2,3,5] => 0010011
[6,7,8,4,1,2,3,5] => [4,1,2,8,3,6,7,5] => [6,7,8,4,1,2,3,5] => 0010001
[8,7,6,3,2,1,4,5] => [2,3,6,1,4,7,8,5] => [8,7,6,3,2,1,4,5] => 1100111
[7,8,6,3,2,1,4,5] => [2,3,6,1,4,8,7,5] => [7,8,6,3,2,1,4,5] => 1100101
[8,6,7,3,2,1,4,5] => [2,3,7,1,4,8,6,5] => [8,6,7,3,2,1,4,5] => 1100011
[7,6,8,3,2,1,4,5] => [2,3,8,1,4,7,6,5] => [7,6,8,3,2,1,4,5] => 1100011
[6,7,8,3,2,1,4,5] => [2,3,8,1,4,6,7,5] => [6,7,8,3,2,1,4,5] => 1100001
[8,7,6,2,3,1,4,5] => [3,6,2,1,4,7,8,5] => [8,7,6,2,3,1,4,5] => 0100111
[7,8,6,2,3,1,4,5] => [3,6,2,1,4,8,7,5] => [7,8,6,2,3,1,4,5] => 0100101
[8,6,7,2,3,1,4,5] => [3,7,2,1,4,8,6,5] => [8,6,7,2,3,1,4,5] => 0100011
[6,7,8,2,3,1,4,5] => [3,8,2,1,4,6,7,5] => [6,7,8,2,3,1,4,5] => 0100001
[8,7,6,3,1,2,4,5] => [3,1,6,2,4,7,8,5] => [8,7,6,3,1,2,4,5] => 0100111
[7,8,6,3,1,2,4,5] => [3,1,6,2,4,8,7,5] => [7,8,6,3,1,2,4,5] => 0100101
[7,6,8,3,1,2,4,5] => [3,1,8,2,4,7,6,5] => [7,6,8,3,1,2,4,5] => 0100011
[8,7,6,2,1,3,4,5] => [2,6,1,3,4,7,8,5] => [8,7,6,2,1,3,4,5] => 1000111
[8,6,7,2,1,3,4,5] => [2,7,1,3,4,8,6,5] => [8,6,7,2,1,3,4,5] => 1000011
[6,7,8,2,1,3,4,5] => [2,8,1,3,4,6,7,5] => [6,7,8,2,1,3,4,5] => 1000001
[8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,5] => [8,7,6,1,2,3,4,5] => 0000111
[7,8,6,1,2,3,4,5] => [6,1,2,3,4,8,7,5] => [7,8,6,1,2,3,4,5] => 0000101
[8,6,7,1,2,3,4,5] => [7,1,2,3,4,8,6,5] => [8,6,7,1,2,3,4,5] => 0000011
[7,6,8,1,2,3,4,5] => [8,1,2,3,4,7,6,5] => [7,6,8,1,2,3,4,5] => 0000011
[6,7,8,1,2,3,4,5] => [8,1,2,3,4,6,7,5] => [6,7,8,1,2,3,4,5] => 0000001
[8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,6] => [8,7,5,4,3,2,1,6] => 1111011
[7,8,5,4,3,2,1,6] => [2,3,4,5,8,1,7,6] => [7,8,5,4,3,2,1,6] => 1111001
[8,7,5,3,4,2,1,6] => [2,4,5,3,7,1,8,6] => [8,7,5,3,4,2,1,6] => 1011011
[8,7,4,3,5,2,1,6] => [2,5,4,7,3,1,8,6] => [8,7,4,3,5,2,1,6] => 1011011
[8,7,4,5,2,3,1,6] => [3,5,2,7,4,1,8,6] => [8,7,4,5,2,3,1,6] => 0101011
[8,7,5,3,2,4,1,6] => [4,3,5,2,7,1,8,6] => [8,7,5,3,2,4,1,6] => 0111011
[7,8,5,2,3,4,1,6] => [4,5,2,3,8,1,7,6] => [7,8,5,2,3,4,1,6] => 0011001
[7,8,3,4,2,5,1,6] => [5,4,8,3,2,1,7,6] => [7,8,3,4,2,5,1,6] => 0011001
[8,7,2,3,4,5,1,6] => [5,7,2,3,4,1,8,6] => [8,7,2,3,4,5,1,6] => 0001011
[8,7,5,4,3,1,2,6] => [3,1,4,5,7,2,8,6] => [8,7,5,4,3,1,2,6] => 0111011
[8,7,5,3,4,1,2,6] => [4,1,5,3,7,2,8,6] => [8,7,5,3,4,1,2,6] => 0011011
[7,8,5,3,4,1,2,6] => [4,1,5,3,8,2,7,6] => [7,8,5,3,4,1,2,6] => 0011001
[8,7,3,4,5,1,2,6] => [5,1,7,3,4,2,8,6] => [8,7,3,4,5,1,2,6] => 0001011
[7,8,3,4,5,1,2,6] => [5,1,8,3,4,2,7,6] => [7,8,3,4,5,1,2,6] => 0001001
[7,8,5,4,2,1,3,6] => [2,4,1,5,8,3,7,6] => [7,8,5,4,2,1,3,6] => 1011001
[8,7,5,4,1,2,3,6] => [4,1,2,5,7,3,8,6] => [8,7,5,4,1,2,3,6] => 0011011
[7,8,5,4,1,2,3,6] => [4,1,2,5,8,3,7,6] => [7,8,5,4,1,2,3,6] => 0011001
[7,8,4,5,1,2,3,6] => [5,1,2,8,4,3,7,6] => [7,8,4,5,1,2,3,6] => 0001001
[8,7,5,3,2,1,4,6] => [2,3,5,1,7,4,8,6] => [8,7,5,3,2,1,4,6] => 1101011
[7,8,5,3,2,1,4,6] => [2,3,5,1,8,4,7,6] => [7,8,5,3,2,1,4,6] => 1101001
[8,7,5,2,3,1,4,6] => [3,5,2,1,7,4,8,6] => [8,7,5,2,3,1,4,6] => 0101011
[8,7,5,3,1,2,4,6] => [3,1,5,2,7,4,8,6] => [8,7,5,3,1,2,4,6] => 0101011
[7,8,5,3,1,2,4,6] => [3,1,5,2,8,4,7,6] => [7,8,5,3,1,2,4,6] => 0101001
[8,7,5,2,1,3,4,6] => [2,5,1,3,7,4,8,6] => [8,7,5,2,1,3,4,6] => 1001011
[7,8,5,2,1,3,4,6] => [2,5,1,3,8,4,7,6] => [7,8,5,2,1,3,4,6] => 1001001
[8,7,5,1,2,3,4,6] => [5,1,2,3,7,4,8,6] => [8,7,5,1,2,3,4,6] => 0001011
[7,8,5,1,2,3,4,6] => [5,1,2,3,8,4,7,6] => [7,8,5,1,2,3,4,6] => 0001001
[8,7,4,3,2,1,5,6] => [2,3,4,7,1,5,8,6] => [8,7,4,3,2,1,5,6] => 1110011
[7,8,4,3,2,1,5,6] => [2,3,4,8,1,5,7,6] => [7,8,4,3,2,1,5,6] => 1110001
[8,7,3,4,2,1,5,6] => [2,4,7,3,1,5,8,6] => [8,7,3,4,2,1,5,6] => 1010011
[7,8,3,4,2,1,5,6] => [2,4,8,3,1,5,7,6] => [7,8,3,4,2,1,5,6] => 1010001
[8,7,3,2,4,1,5,6] => [4,3,7,2,1,5,8,6] => [8,7,3,2,4,1,5,6] => 0110011
[7,8,3,2,4,1,5,6] => [4,3,8,2,1,5,7,6] => [7,8,3,2,4,1,5,6] => 0110001
[8,7,2,3,4,1,5,6] => [4,7,2,3,1,5,8,6] => [8,7,2,3,4,1,5,6] => 0010011
[7,8,2,3,4,1,5,6] => [4,8,2,3,1,5,7,6] => [7,8,2,3,4,1,5,6] => 0010001
[7,8,4,3,1,2,5,6] => [3,1,4,8,2,5,7,6] => [7,8,4,3,1,2,5,6] => 0110001
[8,7,3,4,1,2,5,6] => [4,1,7,3,2,5,8,6] => [8,7,3,4,1,2,5,6] => 0010011
[8,7,4,2,1,3,5,6] => [2,4,1,7,3,5,8,6] => [8,7,4,2,1,3,5,6] => 1010011
[7,8,4,2,1,3,5,6] => [2,4,1,8,3,5,7,6] => [7,8,4,2,1,3,5,6] => 1010001
[8,7,4,1,2,3,5,6] => [4,1,2,7,3,5,8,6] => [8,7,4,1,2,3,5,6] => 0010011
[8,7,3,2,1,4,5,6] => [2,3,7,1,4,5,8,6] => [8,7,3,2,1,4,5,6] => 1100011
[7,8,3,2,1,4,5,6] => [2,3,8,1,4,5,7,6] => [7,8,3,2,1,4,5,6] => 1100001
[8,7,2,3,1,4,5,6] => [3,7,2,1,4,5,8,6] => [8,7,2,3,1,4,5,6] => 0100011
[7,8,2,3,1,4,5,6] => [3,8,2,1,4,5,7,6] => [7,8,2,3,1,4,5,6] => 0100001
[7,8,3,1,2,4,5,6] => [3,1,8,2,4,5,7,6] => [7,8,3,1,2,4,5,6] => 0100001
[8,7,2,1,3,4,5,6] => [2,7,1,3,4,5,8,6] => [8,7,2,1,3,4,5,6] => 1000011
[7,8,2,1,3,4,5,6] => [2,8,1,3,4,5,7,6] => [7,8,2,1,3,4,5,6] => 1000001
[8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,6] => [8,7,1,2,3,4,5,6] => 0000011
[7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,7,6] => [7,8,1,2,3,4,5,6] => 0000001
[8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7] => [8,6,5,4,3,2,1,7] => 1111101
[8,5,6,4,3,2,1,7] => [2,3,4,6,8,5,1,7] => [8,5,6,4,3,2,1,7] => 1110101
[8,5,4,6,3,2,1,7] => [2,3,6,5,8,4,1,7] => [8,5,4,6,3,2,1,7] => 1101101
[8,4,5,6,3,2,1,7] => [2,3,6,8,4,5,1,7] => [8,4,5,6,3,2,1,7] => 1100101
[8,6,5,3,4,2,1,7] => [2,4,5,3,6,8,1,7] => [8,6,5,3,4,2,1,7] => 1011101
[8,5,6,3,4,2,1,7] => [2,4,6,3,8,5,1,7] => [8,5,6,3,4,2,1,7] => 1010101
[8,4,3,5,6,2,1,7] => [2,6,4,8,3,5,1,7] => [8,4,3,5,6,2,1,7] => 1010101
[8,3,4,5,6,2,1,7] => [2,6,8,3,4,5,1,7] => [8,3,4,5,6,2,1,7] => 1000101
[8,6,5,4,2,3,1,7] => [3,4,2,5,6,8,1,7] => [8,6,5,4,2,3,1,7] => 0111101
[8,6,4,5,2,3,1,7] => [3,5,2,6,4,8,1,7] => [8,6,4,5,2,3,1,7] => 0101101
[8,4,5,6,2,3,1,7] => [3,6,2,8,4,5,1,7] => [8,4,5,6,2,3,1,7] => 0100101
[8,6,5,3,2,4,1,7] => [4,3,5,2,6,8,1,7] => [8,6,5,3,2,4,1,7] => 0111101
[8,5,6,2,3,4,1,7] => [4,6,2,3,8,5,1,7] => [8,5,6,2,3,4,1,7] => 0010101
[8,6,4,3,2,5,1,7] => [5,3,4,6,2,8,1,7] => [8,6,4,3,2,5,1,7] => 0111101
[8,6,3,2,4,5,1,7] => [5,3,6,2,4,8,1,7] => [8,6,3,2,4,5,1,7] => 0101101
[8,5,4,3,2,6,1,7] => [6,3,4,5,8,2,1,7] => [8,5,4,3,2,6,1,7] => 0111101
[8,4,3,5,2,6,1,7] => [6,5,4,8,3,2,1,7] => [8,4,3,5,2,6,1,7] => 0011101
[8,5,4,2,3,6,1,7] => [6,4,2,5,8,3,1,7] => [8,5,4,2,3,6,1,7] => 0011101
[8,4,5,2,3,6,1,7] => [6,5,2,8,4,3,1,7] => [8,4,5,2,3,6,1,7] => 0001101
[8,3,2,4,5,6,1,7] => [6,3,8,2,4,5,1,7] => [8,3,2,4,5,6,1,7] => 0100101
[8,2,3,4,5,6,1,7] => [6,8,2,3,4,5,1,7] => [8,2,3,4,5,6,1,7] => 0000101
[8,6,5,4,3,1,2,7] => [3,1,4,5,6,8,2,7] => [8,6,5,4,3,1,2,7] => 0111101
[8,6,5,3,4,1,2,7] => [4,1,5,3,6,8,2,7] => [8,6,5,3,4,1,2,7] => 0011101
[8,5,6,3,4,1,2,7] => [4,1,6,3,8,5,2,7] => [8,5,6,3,4,1,2,7] => 0010101
[8,6,3,4,5,1,2,7] => [5,1,6,3,4,8,2,7] => [8,6,3,4,5,1,2,7] => 0001101
[8,5,4,3,6,1,2,7] => [6,1,4,5,8,3,2,7] => [8,5,4,3,6,1,2,7] => 0011101
[8,4,5,3,6,1,2,7] => [6,1,5,8,4,3,2,7] => [8,4,5,3,6,1,2,7] => 0001101
[8,5,3,4,6,1,2,7] => [6,1,5,3,8,4,2,7] => [8,5,3,4,6,1,2,7] => 0001101
[8,3,4,5,6,1,2,7] => [6,1,8,3,4,5,2,7] => [8,3,4,5,6,1,2,7] => 0000101
[8,6,5,4,2,1,3,7] => [2,4,1,5,6,8,3,7] => [8,6,5,4,2,1,3,7] => 1011101
[8,5,6,4,2,1,3,7] => [2,4,1,6,8,5,3,7] => [8,5,6,4,2,1,3,7] => 1010101
[8,6,4,5,2,1,3,7] => [2,5,1,6,4,8,3,7] => [8,6,4,5,2,1,3,7] => 1001101
[8,4,5,6,2,1,3,7] => [2,6,1,8,4,5,3,7] => [8,4,5,6,2,1,3,7] => 1000101
[8,6,5,4,1,2,3,7] => [4,1,2,5,6,8,3,7] => [8,6,5,4,1,2,3,7] => 0011101
[8,5,6,4,1,2,3,7] => [4,1,2,6,8,5,3,7] => [8,5,6,4,1,2,3,7] => 0010101
[8,6,4,5,1,2,3,7] => [5,1,2,6,4,8,3,7] => [8,6,4,5,1,2,3,7] => 0001101
[8,4,5,6,1,2,3,7] => [6,1,2,8,4,5,3,7] => [8,4,5,6,1,2,3,7] => 0000101
[8,6,5,3,2,1,4,7] => [2,3,5,1,6,8,4,7] => [8,6,5,3,2,1,4,7] => 1101101
[8,5,6,3,2,1,4,7] => [2,3,6,1,8,5,4,7] => [8,5,6,3,2,1,4,7] => 1100101
[8,6,5,2,3,1,4,7] => [3,5,2,1,6,8,4,7] => [8,6,5,2,3,1,4,7] => 0101101
[8,5,6,2,3,1,4,7] => [3,6,2,1,8,5,4,7] => [8,5,6,2,3,1,4,7] => 0100101
[8,6,5,2,1,3,4,7] => [2,5,1,3,6,8,4,7] => [8,6,5,2,1,3,4,7] => 1001101
[8,5,6,2,1,3,4,7] => [2,6,1,3,8,5,4,7] => [8,5,6,2,1,3,4,7] => 1000101
[8,6,5,1,2,3,4,7] => [5,1,2,3,6,8,4,7] => [8,6,5,1,2,3,4,7] => 0001101
[8,5,6,1,2,3,4,7] => [6,1,2,3,8,5,4,7] => [8,5,6,1,2,3,4,7] => 0000101
[8,6,4,3,2,1,5,7] => [2,3,4,6,1,8,5,7] => [8,6,4,3,2,1,5,7] => 1110101
[8,6,3,4,2,1,5,7] => [2,4,6,3,1,8,5,7] => [8,6,3,4,2,1,5,7] => 1010101
[8,6,3,2,4,1,5,7] => [4,3,6,2,1,8,5,7] => [8,6,3,2,4,1,5,7] => 0110101
[8,6,4,3,1,2,5,7] => [3,1,4,6,2,8,5,7] => [8,6,4,3,1,2,5,7] => 0110101
[8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,7] => [8,6,4,2,1,3,5,7] => 1010101
[8,6,3,2,1,4,5,7] => [2,3,6,1,4,8,5,7] => [8,6,3,2,1,4,5,7] => 1100101
[8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,7] => [8,6,1,2,3,4,5,7] => 0000101
[8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7] => [8,5,4,3,2,1,6,7] => 1111001
[8,4,3,5,2,1,6,7] => [2,5,4,8,3,1,6,7] => [8,4,3,5,2,1,6,7] => 1011001
[8,3,4,5,2,1,6,7] => [2,5,8,3,4,1,6,7] => [8,3,4,5,2,1,6,7] => 1001001
[8,4,5,2,3,1,6,7] => [3,5,2,8,4,1,6,7] => [8,4,5,2,3,1,6,7] => 0101001
[8,5,2,3,4,1,6,7] => [4,5,2,3,8,1,6,7] => [8,5,2,3,4,1,6,7] => 0011001
[8,4,2,3,5,1,6,7] => [5,4,2,8,3,1,6,7] => [8,4,2,3,5,1,6,7] => 0011001
[8,2,3,4,5,1,6,7] => [5,8,2,3,4,1,6,7] => [8,2,3,4,5,1,6,7] => 0001001
[8,5,3,4,1,2,6,7] => [4,1,5,3,8,2,6,7] => [8,5,3,4,1,2,6,7] => 0011001
[8,3,4,5,1,2,6,7] => [5,1,8,3,4,2,6,7] => [8,3,4,5,1,2,6,7] => 0001001
[8,5,4,2,1,3,6,7] => [2,4,1,5,8,3,6,7] => [8,5,4,2,1,3,6,7] => 1011001
[8,5,4,1,2,3,6,7] => [4,1,2,5,8,3,6,7] => [8,5,4,1,2,3,6,7] => 0011001
[8,4,5,1,2,3,6,7] => [5,1,2,8,4,3,6,7] => [8,4,5,1,2,3,6,7] => 0001001
[8,5,3,2,1,4,6,7] => [2,3,5,1,8,4,6,7] => [8,5,3,2,1,4,6,7] => 1101001
[8,5,3,1,2,4,6,7] => [3,1,5,2,8,4,6,7] => [8,5,3,1,2,4,6,7] => 0101001
[8,5,2,1,3,4,6,7] => [2,5,1,3,8,4,6,7] => [8,5,2,1,3,4,6,7] => 1001001
[8,5,1,2,3,4,6,7] => [5,1,2,3,8,4,6,7] => [8,5,1,2,3,4,6,7] => 0001001
[8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7] => [8,4,3,2,1,5,6,7] => 1110001
[8,3,4,2,1,5,6,7] => [2,4,8,3,1,5,6,7] => [8,3,4,2,1,5,6,7] => 1010001
[8,4,2,3,1,5,6,7] => [3,4,2,8,1,5,6,7] => [8,4,2,3,1,5,6,7] => 0110001
[8,2,3,4,1,5,6,7] => [4,8,2,3,1,5,6,7] => [8,2,3,4,1,5,6,7] => 0010001
[8,3,4,1,2,5,6,7] => [4,1,8,3,2,5,6,7] => [8,3,4,1,2,5,6,7] => 0010001
[8,4,2,1,3,5,6,7] => [2,4,1,8,3,5,6,7] => [8,4,2,1,3,5,6,7] => 1010001
[8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7] => [8,4,1,2,3,5,6,7] => 0010001
[8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => [8,3,2,1,4,5,6,7] => 1100001
[8,2,3,1,4,5,6,7] => [3,8,2,1,4,5,6,7] => [8,2,3,1,4,5,6,7] => 0100001
[8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => [8,3,1,2,4,5,6,7] => 0100001
[8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => [8,2,1,3,4,5,6,7] => 1000001
[8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => 0000001
[7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8] => [7,6,5,4,3,2,1,8] => 1111110
[6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8] => [6,7,5,4,3,2,1,8] => 1111010
[7,5,6,4,3,2,1,8] => [2,3,4,6,7,5,1,8] => [7,5,6,4,3,2,1,8] => 1110110
[6,5,7,4,3,2,1,8] => [2,3,4,7,6,5,1,8] => [6,5,7,4,3,2,1,8] => 1110110
[5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8] => [5,6,7,4,3,2,1,8] => 1110010
[7,6,4,5,3,2,1,8] => [2,3,5,6,4,7,1,8] => [7,6,4,5,3,2,1,8] => 1101110
[7,5,4,6,3,2,1,8] => [2,3,6,5,7,4,1,8] => [7,5,4,6,3,2,1,8] => 1101110
[6,5,4,7,3,2,1,8] => [2,3,7,5,6,4,1,8] => [6,5,4,7,3,2,1,8] => 1101110
[5,6,4,7,3,2,1,8] => [2,3,7,6,5,4,1,8] => [5,6,4,7,3,2,1,8] => 1100110
[5,4,6,7,3,2,1,8] => [2,3,7,5,4,6,1,8] => [5,4,6,7,3,2,1,8] => 1101010
[7,6,5,3,4,2,1,8] => [2,4,5,3,6,7,1,8] => [7,6,5,3,4,2,1,8] => 1011110
[7,5,6,3,4,2,1,8] => [2,4,6,3,7,5,1,8] => [7,5,6,3,4,2,1,8] => 1010110
[5,6,7,3,4,2,1,8] => [2,4,7,3,5,6,1,8] => [5,6,7,3,4,2,1,8] => 1010010
[7,6,4,3,5,2,1,8] => [2,5,4,6,3,7,1,8] => [7,6,4,3,5,2,1,8] => 1011110
[6,7,4,3,5,2,1,8] => [2,5,4,7,3,6,1,8] => [6,7,4,3,5,2,1,8] => 1011010
[7,6,3,4,5,2,1,8] => [2,5,6,3,4,7,1,8] => [7,6,3,4,5,2,1,8] => 1001110
[7,5,4,3,6,2,1,8] => [2,6,4,5,7,3,1,8] => [7,5,4,3,6,2,1,8] => 1011110
[7,3,4,5,6,2,1,8] => [2,6,7,3,4,5,1,8] => [7,3,4,5,6,2,1,8] => 1000110
[6,5,4,3,7,2,1,8] => [2,7,4,5,6,3,1,8] => [6,5,4,3,7,2,1,8] => 1011110
[5,6,4,3,7,2,1,8] => [2,7,4,6,5,3,1,8] => [5,6,4,3,7,2,1,8] => 1010110
[5,4,6,3,7,2,1,8] => [2,7,6,5,4,3,1,8] => [5,4,6,3,7,2,1,8] => 1001110
[3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8] => [3,4,5,6,7,2,1,8] => 1000010
[7,6,5,4,2,3,1,8] => [3,4,2,5,6,7,1,8] => [7,6,5,4,2,3,1,8] => 0111110
[6,7,5,4,2,3,1,8] => [3,4,2,5,7,6,1,8] => [6,7,5,4,2,3,1,8] => 0111010
[7,5,6,4,2,3,1,8] => [3,4,2,6,7,5,1,8] => [7,5,6,4,2,3,1,8] => 0110110
[5,6,7,4,2,3,1,8] => [3,4,2,7,5,6,1,8] => [5,6,7,4,2,3,1,8] => 0110010
[7,6,4,5,2,3,1,8] => [3,5,2,6,4,7,1,8] => [7,6,4,5,2,3,1,8] => 0101110
[6,7,4,5,2,3,1,8] => [3,5,2,7,4,6,1,8] => [6,7,4,5,2,3,1,8] => 0101010
[7,4,5,6,2,3,1,8] => [3,6,2,7,4,5,1,8] => [7,4,5,6,2,3,1,8] => 0100110
[6,5,4,7,2,3,1,8] => [3,7,2,5,6,4,1,8] => [6,5,4,7,2,3,1,8] => 0101110
[5,6,4,7,2,3,1,8] => [3,7,2,6,5,4,1,8] => [5,6,4,7,2,3,1,8] => 0100110
[5,4,6,7,2,3,1,8] => [3,7,2,5,4,6,1,8] => [5,4,6,7,2,3,1,8] => 0101010
[4,5,6,7,2,3,1,8] => [3,7,2,4,5,6,1,8] => [4,5,6,7,2,3,1,8] => 0100010
[6,5,7,3,2,4,1,8] => [4,3,7,2,6,5,1,8] => [6,5,7,3,2,4,1,8] => 0110110
[5,6,7,3,2,4,1,8] => [4,3,7,2,5,6,1,8] => [5,6,7,3,2,4,1,8] => 0110010
[7,6,5,2,3,4,1,8] => [4,5,2,3,6,7,1,8] => [7,6,5,2,3,4,1,8] => 0011110
[6,7,5,2,3,4,1,8] => [4,5,2,3,7,6,1,8] => [6,7,5,2,3,4,1,8] => 0011010
[7,5,6,2,3,4,1,8] => [4,6,2,3,7,5,1,8] => [7,5,6,2,3,4,1,8] => 0010110
[6,5,7,2,3,4,1,8] => [4,7,2,3,6,5,1,8] => [6,5,7,2,3,4,1,8] => 0010110
[5,6,7,2,3,4,1,8] => [4,7,2,3,5,6,1,8] => [5,6,7,2,3,4,1,8] => 0010010
[7,6,4,3,2,5,1,8] => [5,3,4,6,2,7,1,8] => [7,6,4,3,2,5,1,8] => 0111110
[6,7,4,3,2,5,1,8] => [5,3,4,7,2,6,1,8] => [6,7,4,3,2,5,1,8] => 0111010
[7,6,4,2,3,5,1,8] => [5,4,2,6,3,7,1,8] => [7,6,4,2,3,5,1,8] => 0011110
[6,7,4,2,3,5,1,8] => [5,4,2,7,3,6,1,8] => [6,7,4,2,3,5,1,8] => 0011010
[7,6,3,2,4,5,1,8] => [5,3,6,2,4,7,1,8] => [7,6,3,2,4,5,1,8] => 0101110
[6,7,3,2,4,5,1,8] => [5,3,7,2,4,6,1,8] => [6,7,3,2,4,5,1,8] => 0101010
[7,4,3,5,2,6,1,8] => [6,5,4,7,3,2,1,8] => [7,4,3,5,2,6,1,8] => 0011110
[7,5,4,2,3,6,1,8] => [6,4,2,5,7,3,1,8] => [7,5,4,2,3,6,1,8] => 0011110
[7,4,5,2,3,6,1,8] => [6,5,2,7,4,3,1,8] => [7,4,5,2,3,6,1,8] => 0001110
[7,5,3,2,4,6,1,8] => [6,3,5,2,7,4,1,8] => [7,5,3,2,4,6,1,8] => 0101110
[7,2,3,4,5,6,1,8] => [6,7,2,3,4,5,1,8] => [7,2,3,4,5,6,1,8] => 0000110
[6,5,4,3,2,7,1,8] => [7,3,4,5,6,2,1,8] => [6,5,4,3,2,7,1,8] => 0111110
[5,6,4,3,2,7,1,8] => [7,3,4,6,5,2,1,8] => [5,6,4,3,2,7,1,8] => 0110110
[5,4,6,3,2,7,1,8] => [7,3,6,5,4,2,1,8] => [5,4,6,3,2,7,1,8] => 0101110
[5,6,3,4,2,7,1,8] => [7,4,6,3,5,2,1,8] => [5,6,3,4,2,7,1,8] => 0010110
[6,3,4,5,2,7,1,8] => [7,5,6,3,4,2,1,8] => [6,3,4,5,2,7,1,8] => 0001110
[5,4,3,6,2,7,1,8] => [7,6,4,5,3,2,1,8] => [5,4,3,6,2,7,1,8] => 0011110
[4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => [4,5,3,6,2,7,1,8] => 0001110
[5,3,4,6,2,7,1,8] => [7,6,5,3,4,2,1,8] => [5,3,4,6,2,7,1,8] => 0001110
[4,3,5,6,2,7,1,8] => [7,6,4,3,5,2,1,8] => [4,3,5,6,2,7,1,8] => 0010110
[3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,2,7,1,8] => 0000110
[5,4,6,2,3,7,1,8] => [7,6,2,5,4,3,1,8] => [5,4,6,2,3,7,1,8] => 0001110
[6,5,3,2,4,7,1,8] => [7,3,5,2,6,4,1,8] => [6,5,3,2,4,7,1,8] => 0101110
[6,2,3,4,5,7,1,8] => [7,6,2,3,4,5,1,8] => [6,2,3,4,5,7,1,8] => 0000110
[3,4,5,2,6,7,1,8] => [7,5,3,4,2,6,1,8] => [3,4,5,2,6,7,1,8] => 0001010
[5,4,2,3,6,7,1,8] => [7,4,2,5,3,6,1,8] => [5,4,2,3,6,7,1,8] => 0011010
[4,2,3,5,6,7,1,8] => [7,4,2,3,5,6,1,8] => [4,2,3,5,6,7,1,8] => 0010010
[2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => 0000010
[7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,2,8] => [7,6,5,4,3,1,2,8] => 0111110
[6,7,5,4,3,1,2,8] => [3,1,4,5,7,6,2,8] => [6,7,5,4,3,1,2,8] => 0111010
[7,4,5,6,3,1,2,8] => [3,1,6,7,4,5,2,8] => [7,4,5,6,3,1,2,8] => 0100110
[4,5,6,7,3,1,2,8] => [3,1,7,4,5,6,2,8] => [4,5,6,7,3,1,2,8] => 0100010
[7,5,6,3,4,1,2,8] => [4,1,6,3,7,5,2,8] => [7,5,6,3,4,1,2,8] => 0010110
[6,5,7,3,4,1,2,8] => [4,1,7,3,6,5,2,8] => [6,5,7,3,4,1,2,8] => 0010110
[6,4,5,3,7,1,2,8] => [7,1,5,6,4,3,2,8] => [6,4,5,3,7,1,2,8] => 0001110
[5,6,3,4,7,1,2,8] => [7,1,6,3,5,4,2,8] => [5,6,3,4,7,1,2,8] => 0000110
[3,4,5,6,7,1,2,8] => [7,1,3,4,5,6,2,8] => [3,4,5,6,7,1,2,8] => 0000010
[7,6,5,4,2,1,3,8] => [2,4,1,5,6,7,3,8] => [7,6,5,4,2,1,3,8] => 1011110
[7,6,4,5,2,1,3,8] => [2,5,1,6,4,7,3,8] => [7,6,4,5,2,1,3,8] => 1001110
[7,5,4,6,2,1,3,8] => [2,6,1,5,7,4,3,8] => [7,5,4,6,2,1,3,8] => 1001110
[7,6,5,4,1,2,3,8] => [4,1,2,5,6,7,3,8] => [7,6,5,4,1,2,3,8] => 0011110
[7,5,6,4,1,2,3,8] => [4,1,2,6,7,5,3,8] => [7,5,6,4,1,2,3,8] => 0010110
[5,6,7,4,1,2,3,8] => [4,1,2,7,5,6,3,8] => [5,6,7,4,1,2,3,8] => 0010010
[5,6,4,7,1,2,3,8] => [7,1,2,6,5,4,3,8] => [5,6,4,7,1,2,3,8] => 0000110
[5,4,6,7,1,2,3,8] => [7,1,2,5,4,6,3,8] => [5,4,6,7,1,2,3,8] => 0001010
[4,5,6,7,1,2,3,8] => [7,1,2,4,5,6,3,8] => [4,5,6,7,1,2,3,8] => 0000010
[7,5,6,2,3,1,4,8] => [3,6,2,1,7,5,4,8] => [7,5,6,2,3,1,4,8] => 0100110
[5,6,7,2,3,1,4,8] => [3,7,2,1,5,6,4,8] => [5,6,7,2,3,1,4,8] => 0100010
[5,6,7,3,1,2,4,8] => [3,1,7,2,5,6,4,8] => [5,6,7,3,1,2,4,8] => 0100010
[6,7,5,2,1,3,4,8] => [2,5,1,3,7,6,4,8] => [6,7,5,2,1,3,4,8] => 1001010
[7,5,6,2,1,3,4,8] => [2,6,1,3,7,5,4,8] => [7,5,6,2,1,3,4,8] => 1000110
[5,6,7,2,1,3,4,8] => [2,7,1,3,5,6,4,8] => [5,6,7,2,1,3,4,8] => 1000010
[7,6,5,1,2,3,4,8] => [5,1,2,3,6,7,4,8] => [7,6,5,1,2,3,4,8] => 0001110
[6,7,5,1,2,3,4,8] => [5,1,2,3,7,6,4,8] => [6,7,5,1,2,3,4,8] => 0001010
[7,5,6,1,2,3,4,8] => [6,1,2,3,7,5,4,8] => [7,5,6,1,2,3,4,8] => 0000110
[6,5,7,1,2,3,4,8] => [7,1,2,3,6,5,4,8] => [6,5,7,1,2,3,4,8] => 0000110
[5,6,7,1,2,3,4,8] => [7,1,2,3,5,6,4,8] => [5,6,7,1,2,3,4,8] => 0000010
[7,6,4,3,2,1,5,8] => [2,3,4,6,1,7,5,8] => [7,6,4,3,2,1,5,8] => 1110110
[6,7,4,3,2,1,5,8] => [2,3,4,7,1,6,5,8] => [6,7,4,3,2,1,5,8] => 1110010
[7,6,3,4,2,1,5,8] => [2,4,6,3,1,7,5,8] => [7,6,3,4,2,1,5,8] => 1010110
[7,6,4,2,3,1,5,8] => [3,4,2,6,1,7,5,8] => [7,6,4,2,3,1,5,8] => 0110110
[7,6,3,2,4,1,5,8] => [4,3,6,2,1,7,5,8] => [7,6,3,2,4,1,5,8] => 0110110
[6,7,3,2,4,1,5,8] => [4,3,7,2,1,6,5,8] => [6,7,3,2,4,1,5,8] => 0110010
[7,6,2,3,4,1,5,8] => [4,6,2,3,1,7,5,8] => [7,6,2,3,4,1,5,8] => 0010110
[6,7,3,4,1,2,5,8] => [4,1,7,3,2,6,5,8] => [6,7,3,4,1,2,5,8] => 0010010
[7,6,4,2,1,3,5,8] => [2,4,1,6,3,7,5,8] => [7,6,4,2,1,3,5,8] => 1010110
[7,6,3,2,1,4,5,8] => [2,3,6,1,4,7,5,8] => [7,6,3,2,1,4,5,8] => 1100110
[7,6,2,3,1,4,5,8] => [3,6,2,1,4,7,5,8] => [7,6,2,3,1,4,5,8] => 0100110
[7,6,1,2,3,4,5,8] => [6,1,2,3,4,7,5,8] => [7,6,1,2,3,4,5,8] => 0000110
[6,7,1,2,3,4,5,8] => [7,1,2,3,4,6,5,8] => [6,7,1,2,3,4,5,8] => 0000010
[7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8] => [7,5,4,3,2,1,6,8] => 1111010
[7,3,4,5,2,1,6,8] => [2,5,7,3,4,1,6,8] => [7,3,4,5,2,1,6,8] => 1001010
[7,5,3,2,4,1,6,8] => [4,3,5,2,7,1,6,8] => [7,5,3,2,4,1,6,8] => 0111010
[7,5,2,3,4,1,6,8] => [4,5,2,3,7,1,6,8] => [7,5,2,3,4,1,6,8] => 0011010
[7,4,2,3,5,1,6,8] => [5,4,2,7,3,1,6,8] => [7,4,2,3,5,1,6,8] => 0011010
[7,2,3,4,5,1,6,8] => [5,7,2,3,4,1,6,8] => [7,2,3,4,5,1,6,8] => 0001010
[7,4,5,2,1,3,6,8] => [2,5,1,7,4,3,6,8] => [7,4,5,2,1,3,6,8] => 1001010
[7,5,2,3,1,4,6,8] => [3,5,2,1,7,4,6,8] => [7,5,2,3,1,4,6,8] => 0101010
[7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,6,8] => [7,5,3,1,2,4,6,8] => 0101010
[7,5,1,2,3,4,6,8] => [5,1,2,3,7,4,6,8] => [7,5,1,2,3,4,6,8] => 0001010
[7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8] => [7,4,3,2,1,5,6,8] => 1110010
[7,3,4,1,2,5,6,8] => [4,1,7,3,2,5,6,8] => [7,3,4,1,2,5,6,8] => 0010010
[7,4,1,2,3,5,6,8] => [4,1,2,7,3,5,6,8] => [7,4,1,2,3,5,6,8] => 0010010
[7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => [7,3,2,1,4,5,6,8] => 1100010
[7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => [7,3,1,2,4,5,6,8] => 0100010
[7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => [7,2,1,3,4,5,6,8] => 1000010
[7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => 0000010
[6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,4,3,2,1,7,8] => [2,3,4,6,5,1,7,8] => [5,6,4,3,2,1,7,8] => 1110100
[5,4,6,3,2,1,7,8] => [2,3,6,5,4,1,7,8] => [5,4,6,3,2,1,7,8] => 1101100
[4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8] => [4,5,6,3,2,1,7,8] => 1100100
[5,6,3,4,2,1,7,8] => [2,4,6,3,5,1,7,8] => [5,6,3,4,2,1,7,8] => 1010100
[5,4,3,6,2,1,7,8] => [2,6,4,5,3,1,7,8] => [5,4,3,6,2,1,7,8] => 1011100
[3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8] => [3,4,5,6,2,1,7,8] => 1000100
[5,4,6,2,3,1,7,8] => [3,6,2,5,4,1,7,8] => [5,4,6,2,3,1,7,8] => 0101100
[5,6,3,2,4,1,7,8] => [4,3,6,2,5,1,7,8] => [5,6,3,2,4,1,7,8] => 0110100
[5,6,2,3,4,1,7,8] => [4,6,2,3,5,1,7,8] => [5,6,2,3,4,1,7,8] => 0010100
[6,2,3,4,5,1,7,8] => [5,6,2,3,4,1,7,8] => [6,2,3,4,5,1,7,8] => 0001100
[5,4,3,2,6,1,7,8] => [6,3,4,5,2,1,7,8] => [5,4,3,2,6,1,7,8] => 0111100
[4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8] => [4,3,5,2,6,1,7,8] => 0011100
[3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8] => [3,4,5,2,6,1,7,8] => 0001100
[5,3,2,4,6,1,7,8] => [6,3,5,2,4,1,7,8] => [5,3,2,4,6,1,7,8] => 0101100
[5,2,3,4,6,1,7,8] => [6,5,2,3,4,1,7,8] => [5,2,3,4,6,1,7,8] => 0001100
[3,4,2,5,6,1,7,8] => [6,4,3,2,5,1,7,8] => [3,4,2,5,6,1,7,8] => 0010100
[2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => [2,3,4,5,6,1,7,8] => 0000100
[6,5,4,3,1,2,7,8] => [3,1,4,5,6,2,7,8] => [6,5,4,3,1,2,7,8] => 0111100
[5,6,4,3,1,2,7,8] => [3,1,4,6,5,2,7,8] => [5,6,4,3,1,2,7,8] => 0110100
[6,4,5,3,1,2,7,8] => [3,1,5,6,4,2,7,8] => [6,4,5,3,1,2,7,8] => 0101100
[5,4,6,3,1,2,7,8] => [3,1,6,5,4,2,7,8] => [5,4,6,3,1,2,7,8] => 0101100
[5,6,3,4,1,2,7,8] => [4,1,6,3,5,2,7,8] => [5,6,3,4,1,2,7,8] => 0010100
[5,4,3,6,1,2,7,8] => [6,1,4,5,3,2,7,8] => [5,4,3,6,1,2,7,8] => 0011100
[3,4,5,6,1,2,7,8] => [6,1,3,4,5,2,7,8] => [3,4,5,6,1,2,7,8] => 0000100
[6,5,4,2,1,3,7,8] => [2,4,1,5,6,3,7,8] => [6,5,4,2,1,3,7,8] => 1011100
[5,6,4,2,1,3,7,8] => [2,4,1,6,5,3,7,8] => [5,6,4,2,1,3,7,8] => 1010100
[6,4,5,2,1,3,7,8] => [2,5,1,6,4,3,7,8] => [6,4,5,2,1,3,7,8] => 1001100
[5,4,6,2,1,3,7,8] => [2,6,1,5,4,3,7,8] => [5,4,6,2,1,3,7,8] => 1001100
[4,5,6,2,1,3,7,8] => [2,6,1,4,5,3,7,8] => [4,5,6,2,1,3,7,8] => 1000100
[6,5,4,1,2,3,7,8] => [4,1,2,5,6,3,7,8] => [6,5,4,1,2,3,7,8] => 0011100
[4,5,6,1,2,3,7,8] => [6,1,2,4,5,3,7,8] => [4,5,6,1,2,3,7,8] => 0000100
[6,5,3,2,1,4,7,8] => [2,3,5,1,6,4,7,8] => [6,5,3,2,1,4,7,8] => 1101100
[5,6,3,2,1,4,7,8] => [2,3,6,1,5,4,7,8] => [5,6,3,2,1,4,7,8] => 1100100
[5,6,2,1,3,4,7,8] => [2,6,1,3,5,4,7,8] => [5,6,2,1,3,4,7,8] => 1000100
[6,4,3,2,1,5,7,8] => [2,3,4,6,1,5,7,8] => [6,4,3,2,1,5,7,8] => 1110100
[6,4,2,1,3,5,7,8] => [2,4,1,6,3,5,7,8] => [6,4,2,1,3,5,7,8] => 1010100
[6,4,1,2,3,5,7,8] => [4,1,2,6,3,5,7,8] => [6,4,1,2,3,5,7,8] => 0010100
[6,3,2,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => [6,3,2,1,4,5,7,8] => 1100100
[6,3,1,2,4,5,7,8] => [3,1,6,2,4,5,7,8] => [6,3,1,2,4,5,7,8] => 0100100
[6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => [6,2,1,3,4,5,7,8] => 1000100
[6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => 0000100
[5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8] => [4,5,3,2,1,6,7,8] => 1101000
[5,3,4,2,1,6,7,8] => [2,4,5,3,1,6,7,8] => [5,3,4,2,1,6,7,8] => 1011000
[4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8] => [4,3,5,2,1,6,7,8] => 1011000
[3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8] => [3,4,5,2,1,6,7,8] => 1001000
[5,4,2,3,1,6,7,8] => [3,4,2,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => 0111000
[4,5,2,3,1,6,7,8] => [3,5,2,4,1,6,7,8] => [4,5,2,3,1,6,7,8] => 0101000
[5,3,2,4,1,6,7,8] => [4,3,5,2,1,6,7,8] => [5,3,2,4,1,6,7,8] => 0111000
[5,2,3,4,1,6,7,8] => [4,5,2,3,1,6,7,8] => [5,2,3,4,1,6,7,8] => 0011000
[4,3,2,5,1,6,7,8] => [5,3,4,2,1,6,7,8] => [4,3,2,5,1,6,7,8] => 0111000
[3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [3,4,2,5,1,6,7,8] => 0011000
[4,2,3,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => [4,2,3,5,1,6,7,8] => 0011000
[3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8] => [3,2,4,5,1,6,7,8] => 0101000
[2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => [2,3,4,5,1,6,7,8] => 0001000
[5,4,3,1,2,6,7,8] => [3,1,4,5,2,6,7,8] => [5,4,3,1,2,6,7,8] => 0111000
[4,3,5,1,2,6,7,8] => [5,1,4,3,2,6,7,8] => [4,3,5,1,2,6,7,8] => 0011000
[3,4,5,1,2,6,7,8] => [5,1,3,4,2,6,7,8] => [3,4,5,1,2,6,7,8] => 0001000
[5,4,2,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => [5,4,2,1,3,6,7,8] => 1011000
[4,5,2,1,3,6,7,8] => [2,5,1,4,3,6,7,8] => [4,5,2,1,3,6,7,8] => 1001000
[5,4,1,2,3,6,7,8] => [4,1,2,5,3,6,7,8] => [5,4,1,2,3,6,7,8] => 0011000
[4,5,1,2,3,6,7,8] => [5,1,2,4,3,6,7,8] => [4,5,1,2,3,6,7,8] => 0001000
[5,3,2,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => [5,3,2,1,4,6,7,8] => 1101000
[5,2,3,1,4,6,7,8] => [3,5,2,1,4,6,7,8] => [5,2,3,1,4,6,7,8] => 0101000
[5,3,1,2,4,6,7,8] => [3,1,5,2,4,6,7,8] => [5,3,1,2,4,6,7,8] => 0101000
[5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => [5,2,1,3,4,6,7,8] => 1001000
[5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => 0001000
[4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => 1010000
[4,2,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => 0110000
[3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => 0110000
[2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => 0010000
[4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [4,3,1,2,5,6,7,8] => 0110000
[3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => [3,4,1,2,5,6,7,8] => 0010000
[4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [4,2,1,3,5,6,7,8] => 1010000
[4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => 0010000
[3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => 1100000
[2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => 0100000
[3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => 0100000
[2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => 1000000
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0000000
[6,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,1] => [6,8,7,5,4,3,2,1] => 1111011
[5,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,1] => [5,8,7,6,4,3,2,1] => 1110111
[5,7,8,6,4,3,2,1] => [2,3,4,6,5,8,7,1] => [5,7,8,6,4,3,2,1] => 1110101
[6,5,8,7,4,3,2,1] => [2,3,4,7,6,5,8,1] => [6,5,8,7,4,3,2,1] => 1110111
[5,6,8,7,4,3,2,1] => [2,3,4,7,5,6,8,1] => [5,6,8,7,4,3,2,1] => 1110011
[5,7,6,8,4,3,2,1] => [2,3,4,8,5,7,6,1] => [5,7,6,8,4,3,2,1] => 1110011
[4,8,7,6,5,3,2,1] => [2,3,5,4,6,7,8,1] => [4,8,7,6,5,3,2,1] => 1101111
[4,6,8,7,5,3,2,1] => [2,3,5,4,7,6,8,1] => [4,6,8,7,5,3,2,1] => 1101011
[4,7,6,8,5,3,2,1] => [2,3,5,4,8,7,6,1] => [4,7,6,8,5,3,2,1] => 1101011
[4,6,7,8,5,3,2,1] => [2,3,5,4,8,6,7,1] => [4,6,7,8,5,3,2,1] => 1101001
[4,5,8,7,6,3,2,1] => [2,3,6,4,5,7,8,1] => [4,5,8,7,6,3,2,1] => 1100111
[4,5,7,8,6,3,2,1] => [2,3,6,4,5,8,7,1] => [4,5,7,8,6,3,2,1] => 1100101
[6,5,4,8,7,3,2,1] => [2,3,7,5,6,4,8,1] => [6,5,4,8,7,3,2,1] => 1101111
[5,6,4,8,7,3,2,1] => [2,3,7,6,5,4,8,1] => [5,6,4,8,7,3,2,1] => 1100111
[4,6,5,8,7,3,2,1] => [2,3,7,4,6,5,8,1] => [4,6,5,8,7,3,2,1] => 1100111
[4,5,6,8,7,3,2,1] => [2,3,7,4,5,6,8,1] => [4,5,6,8,7,3,2,1] => 1100011
[4,7,6,5,8,3,2,1] => [2,3,8,4,6,7,5,1] => [4,7,6,5,8,3,2,1] => 1100111
[3,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,1] => [3,8,7,6,5,4,2,1] => 1011111
[3,7,8,6,5,4,2,1] => [2,4,3,5,6,8,7,1] => [3,7,8,6,5,4,2,1] => 1011101
[3,6,8,7,5,4,2,1] => [2,4,3,5,7,6,8,1] => [3,6,8,7,5,4,2,1] => 1011011
[3,7,6,8,5,4,2,1] => [2,4,3,5,8,7,6,1] => [3,7,6,8,5,4,2,1] => 1011011
[3,5,8,7,6,4,2,1] => [2,4,3,6,5,7,8,1] => [3,5,8,7,6,4,2,1] => 1010111
[3,5,7,8,6,4,2,1] => [2,4,3,6,5,8,7,1] => [3,5,7,8,6,4,2,1] => 1010101
[3,5,6,8,7,4,2,1] => [2,4,3,7,5,6,8,1] => [3,5,6,8,7,4,2,1] => 1010011
[3,7,6,5,8,4,2,1] => [2,4,3,8,6,7,5,1] => [3,7,6,5,8,4,2,1] => 1010111
[3,6,7,5,8,4,2,1] => [2,4,3,8,7,6,5,1] => [3,6,7,5,8,4,2,1] => 1010011
[3,5,7,6,8,4,2,1] => [2,4,3,8,5,7,6,1] => [3,5,7,6,8,4,2,1] => 1010011
[3,5,6,7,8,4,2,1] => [2,4,3,8,5,6,7,1] => [3,5,6,7,8,4,2,1] => 1010001
[4,3,8,7,6,5,2,1] => [2,5,4,3,6,7,8,1] => [4,3,8,7,6,5,2,1] => 1011111
[4,3,7,8,6,5,2,1] => [2,5,4,3,6,8,7,1] => [4,3,7,8,6,5,2,1] => 1011101
[4,3,6,7,8,5,2,1] => [2,5,4,3,8,6,7,1] => [4,3,6,7,8,5,2,1] => 1011001
[3,4,8,7,6,5,2,1] => [2,5,3,4,6,7,8,1] => [3,4,8,7,6,5,2,1] => 1001111
[3,4,6,7,8,5,2,1] => [2,5,3,4,8,6,7,1] => [3,4,6,7,8,5,2,1] => 1001001
[5,4,3,8,7,6,2,1] => [2,6,4,5,3,7,8,1] => [5,4,3,8,7,6,2,1] => 1011111
[5,4,3,7,8,6,2,1] => [2,6,4,5,3,8,7,1] => [5,4,3,7,8,6,2,1] => 1011101
[4,5,3,7,8,6,2,1] => [2,6,5,4,3,8,7,1] => [4,5,3,7,8,6,2,1] => 1001101
[3,5,4,7,8,6,2,1] => [2,6,3,5,4,8,7,1] => [3,5,4,7,8,6,2,1] => 1001101
[4,3,5,7,8,6,2,1] => [2,6,4,3,5,8,7,1] => [4,3,5,7,8,6,2,1] => 1010101
[3,4,5,8,7,6,2,1] => [2,6,3,4,5,7,8,1] => [3,4,5,8,7,6,2,1] => 1000111
[3,4,5,7,8,6,2,1] => [2,6,3,4,5,8,7,1] => [3,4,5,7,8,6,2,1] => 1000101
[6,5,4,3,8,7,2,1] => [2,7,4,5,6,3,8,1] => [6,5,4,3,8,7,2,1] => 1011111
[5,6,4,3,8,7,2,1] => [2,7,4,6,5,3,8,1] => [5,6,4,3,8,7,2,1] => 1010111
[4,5,6,3,8,7,2,1] => [2,7,6,4,5,3,8,1] => [4,5,6,3,8,7,2,1] => 1000111
[3,6,5,4,8,7,2,1] => [2,7,3,5,6,4,8,1] => [3,6,5,4,8,7,2,1] => 1001111
[4,3,6,5,8,7,2,1] => [2,7,4,3,6,5,8,1] => [4,3,6,5,8,7,2,1] => 1010111
[4,5,3,6,8,7,2,1] => [2,7,5,4,3,6,8,1] => [4,5,3,6,8,7,2,1] => 1001011
[4,3,5,6,8,7,2,1] => [2,7,4,3,5,6,8,1] => [4,3,5,6,8,7,2,1] => 1010011
[4,7,6,5,3,8,2,1] => [2,8,5,4,6,7,3,1] => [4,7,6,5,3,8,2,1] => 1001111
[3,7,6,5,4,8,2,1] => [2,8,3,5,6,7,4,1] => [3,7,6,5,4,8,2,1] => 1001111
[3,5,6,7,4,8,2,1] => [2,8,3,7,5,6,4,1] => [3,5,6,7,4,8,2,1] => 1000011
[4,3,7,6,5,8,2,1] => [2,8,4,3,6,7,5,1] => [4,3,7,6,5,8,2,1] => 1010111
[4,5,3,7,6,8,2,1] => [2,8,5,4,3,7,6,1] => [4,5,3,7,6,8,2,1] => 1001011
[3,5,4,7,6,8,2,1] => [2,8,3,5,4,7,6,1] => [3,5,4,7,6,8,2,1] => 1001011
[4,3,5,7,6,8,2,1] => [2,8,4,3,5,7,6,1] => [4,3,5,7,6,8,2,1] => 1010011
[3,4,5,7,6,8,2,1] => [2,8,3,4,5,7,6,1] => [3,4,5,7,6,8,2,1] => 1000011
[4,3,6,5,7,8,2,1] => [2,8,4,3,6,5,7,1] => [4,3,6,5,7,8,2,1] => 1010101
[2,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,1] => [2,8,7,6,5,4,3,1] => 0111111
[2,7,8,6,5,4,3,1] => [3,2,4,5,6,8,7,1] => [2,7,8,6,5,4,3,1] => 0111101
[2,6,8,7,5,4,3,1] => [3,2,4,5,7,6,8,1] => [2,6,8,7,5,4,3,1] => 0111011
[2,6,7,8,5,4,3,1] => [3,2,4,5,8,6,7,1] => [2,6,7,8,5,4,3,1] => 0111001
[2,6,7,5,8,4,3,1] => [3,2,4,8,7,6,5,1] => [2,6,7,5,8,4,3,1] => 0110011
[2,5,6,7,8,4,3,1] => [3,2,4,8,5,6,7,1] => [2,5,6,7,8,4,3,1] => 0110001
[2,4,8,7,6,5,3,1] => [3,2,5,4,6,7,8,1] => [2,4,8,7,6,5,3,1] => 0101111
[2,4,7,8,6,5,3,1] => [3,2,5,4,6,8,7,1] => [2,4,7,8,6,5,3,1] => 0101101
[2,4,6,8,7,5,3,1] => [3,2,5,4,7,6,8,1] => [2,4,6,8,7,5,3,1] => 0101011
[2,4,6,7,8,5,3,1] => [3,2,5,4,8,6,7,1] => [2,4,6,7,8,5,3,1] => 0101001
[2,5,4,7,8,6,3,1] => [3,2,6,5,4,8,7,1] => [2,5,4,7,8,6,3,1] => 0101101
[2,6,5,4,8,7,3,1] => [3,2,7,5,6,4,8,1] => [2,6,5,4,8,7,3,1] => 0101111
[2,5,6,4,8,7,3,1] => [3,2,7,6,5,4,8,1] => [2,5,6,4,8,7,3,1] => 0100111
[2,4,6,5,8,7,3,1] => [3,2,7,4,6,5,8,1] => [2,4,6,5,8,7,3,1] => 0100111
[2,6,7,5,4,8,3,1] => [3,2,8,5,7,6,4,1] => [2,6,7,5,4,8,3,1] => 0101011
[2,5,6,7,4,8,3,1] => [3,2,8,7,5,6,4,1] => [2,5,6,7,4,8,3,1] => 0100011
[2,5,4,7,6,8,3,1] => [3,2,8,5,4,7,6,1] => [2,5,4,7,6,8,3,1] => 0101011
[2,6,5,4,7,8,3,1] => [3,2,8,5,6,4,7,1] => [2,6,5,4,7,8,3,1] => 0101101
[2,4,6,5,7,8,3,1] => [3,2,8,4,6,5,7,1] => [2,4,6,5,7,8,3,1] => 0100101
[2,5,4,6,7,8,3,1] => [3,2,8,5,4,6,7,1] => [2,5,4,6,7,8,3,1] => 0101001
[2,4,5,6,7,8,3,1] => [3,2,8,4,5,6,7,1] => [2,4,5,6,7,8,3,1] => 0100001
[3,2,8,7,6,5,4,1] => [4,3,2,5,6,7,8,1] => [3,2,8,7,6,5,4,1] => 0111111
[3,2,7,8,6,5,4,1] => [4,3,2,5,6,8,7,1] => [3,2,7,8,6,5,4,1] => 0111101
[3,2,6,8,7,5,4,1] => [4,3,2,5,7,6,8,1] => [3,2,6,8,7,5,4,1] => 0111011
[3,2,5,7,8,6,4,1] => [4,3,2,6,5,8,7,1] => [3,2,5,7,8,6,4,1] => 0110101
[3,2,6,5,8,7,4,1] => [4,3,2,7,6,5,8,1] => [3,2,6,5,8,7,4,1] => 0110111
[3,2,5,7,6,8,4,1] => [4,3,2,8,5,7,6,1] => [3,2,5,7,6,8,4,1] => 0110011
[3,2,5,6,7,8,4,1] => [4,3,2,8,5,6,7,1] => [3,2,5,6,7,8,4,1] => 0110001
[2,3,8,7,6,5,4,1] => [4,2,3,5,6,7,8,1] => [2,3,8,7,6,5,4,1] => 0011111
[2,3,5,7,8,6,4,1] => [4,2,3,6,5,8,7,1] => [2,3,5,7,8,6,4,1] => 0010101
[2,3,6,5,8,7,4,1] => [4,2,3,7,6,5,8,1] => [2,3,6,5,8,7,4,1] => 0010111
[2,3,5,6,8,7,4,1] => [4,2,3,7,5,6,8,1] => [2,3,5,6,8,7,4,1] => 0010011
[2,3,7,6,5,8,4,1] => [4,2,3,8,6,7,5,1] => [2,3,7,6,5,8,4,1] => 0010111
[2,3,5,7,6,8,4,1] => [4,2,3,8,5,7,6,1] => [2,3,5,7,6,8,4,1] => 0010011
[2,3,5,6,7,8,4,1] => [4,2,3,8,5,6,7,1] => [2,3,5,6,7,8,4,1] => 0010001
[4,3,2,8,7,6,5,1] => [5,3,4,2,6,7,8,1] => [4,3,2,8,7,6,5,1] => 0111111
[4,3,2,6,8,7,5,1] => [5,3,4,2,7,6,8,1] => [4,3,2,6,8,7,5,1] => 0111011
[3,4,2,8,7,6,5,1] => [5,4,3,2,6,7,8,1] => [3,4,2,8,7,6,5,1] => 0011111
[3,4,2,7,8,6,5,1] => [5,4,3,2,6,8,7,1] => [3,4,2,7,8,6,5,1] => 0011101
[2,4,3,6,8,7,5,1] => [5,2,4,3,7,6,8,1] => [2,4,3,6,8,7,5,1] => 0011011
[3,2,4,8,7,6,5,1] => [5,3,2,4,6,7,8,1] => [3,2,4,8,7,6,5,1] => 0101111
[2,3,4,8,7,6,5,1] => [5,2,3,4,6,7,8,1] => [2,3,4,8,7,6,5,1] => 0001111
[2,3,4,7,6,8,5,1] => [5,2,3,4,8,7,6,1] => [2,3,4,7,6,8,5,1] => 0001011
[2,3,4,6,7,8,5,1] => [5,2,3,4,8,6,7,1] => [2,3,4,6,7,8,5,1] => 0001001
[5,4,3,2,8,7,6,1] => [6,3,4,5,2,7,8,1] => [5,4,3,2,8,7,6,1] => 0111111
[5,4,3,2,7,8,6,1] => [6,3,4,5,2,8,7,1] => [5,4,3,2,7,8,6,1] => 0111101
[4,5,3,2,8,7,6,1] => [6,3,5,4,2,7,8,1] => [4,5,3,2,8,7,6,1] => 0101111
[4,3,5,2,8,7,6,1] => [6,5,4,3,2,7,8,1] => [4,3,5,2,8,7,6,1] => 0011111
[2,5,4,3,7,8,6,1] => [6,2,4,5,3,8,7,1] => [2,5,4,3,7,8,6,1] => 0011101
[2,4,5,3,8,7,6,1] => [6,2,5,4,3,7,8,1] => [2,4,5,3,8,7,6,1] => 0001111
[3,2,5,4,7,8,6,1] => [6,3,2,5,4,8,7,1] => [3,2,5,4,7,8,6,1] => 0101101
[2,3,5,4,8,7,6,1] => [6,2,3,5,4,7,8,1] => [2,3,5,4,8,7,6,1] => 0001111
[3,4,2,5,7,8,6,1] => [6,4,3,2,5,8,7,1] => [3,4,2,5,7,8,6,1] => 0010101
[2,3,4,5,8,7,6,1] => [6,2,3,4,5,7,8,1] => [2,3,4,5,8,7,6,1] => 0000111
[2,3,4,5,7,8,6,1] => [6,2,3,4,5,8,7,1] => [2,3,4,5,7,8,6,1] => 0000101
[6,5,4,3,2,8,7,1] => [7,3,4,5,6,2,8,1] => [6,5,4,3,2,8,7,1] => 0111111
[4,6,5,3,2,8,7,1] => [7,3,5,4,6,2,8,1] => [4,6,5,3,2,8,7,1] => 0101111
[5,4,6,3,2,8,7,1] => [7,3,6,5,4,2,8,1] => [5,4,6,3,2,8,7,1] => 0101111
[4,5,6,3,2,8,7,1] => [7,3,6,4,5,2,8,1] => [4,5,6,3,2,8,7,1] => 0100111
[3,5,6,4,2,8,7,1] => [7,4,3,6,5,2,8,1] => [3,5,6,4,2,8,7,1] => 0010111
[4,3,6,5,2,8,7,1] => [7,5,4,3,6,2,8,1] => [4,3,6,5,2,8,7,1] => 0011111
[5,4,3,6,2,8,7,1] => [7,6,4,5,3,2,8,1] => [5,4,3,6,2,8,7,1] => 0011111
[4,5,3,6,2,8,7,1] => [7,6,5,4,3,2,8,1] => [4,5,3,6,2,8,7,1] => 0001111
[3,5,4,6,2,8,7,1] => [7,6,3,5,4,2,8,1] => [3,5,4,6,2,8,7,1] => 0001111
[3,4,5,6,2,8,7,1] => [7,6,3,4,5,2,8,1] => [3,4,5,6,2,8,7,1] => 0000111
[2,4,6,5,3,8,7,1] => [7,2,5,4,6,3,8,1] => [2,4,6,5,3,8,7,1] => 0001111
[2,4,5,6,3,8,7,1] => [7,2,6,4,5,3,8,1] => [2,4,5,6,3,8,7,1] => 0000111
[3,2,6,5,4,8,7,1] => [7,3,2,5,6,4,8,1] => [3,2,6,5,4,8,7,1] => 0101111
[4,3,2,6,5,8,7,1] => [7,3,4,2,6,5,8,1] => [4,3,2,6,5,8,7,1] => 0110111
[3,4,2,6,5,8,7,1] => [7,4,3,2,6,5,8,1] => [3,4,2,6,5,8,7,1] => 0010111
[2,4,3,6,5,8,7,1] => [7,2,4,3,6,5,8,1] => [2,4,3,6,5,8,7,1] => 0010111
[2,5,4,3,6,8,7,1] => [7,2,4,5,3,6,8,1] => [2,5,4,3,6,8,7,1] => 0011011
[3,4,2,5,6,8,7,1] => [7,4,3,2,5,6,8,1] => [3,4,2,5,6,8,7,1] => 0010011
[3,2,4,5,6,8,7,1] => [7,3,2,4,5,6,8,1] => [3,2,4,5,6,8,7,1] => 0100011
[2,3,4,5,6,8,7,1] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,8,7,1] => 0000011
[4,7,6,5,3,2,8,1] => [8,3,5,4,6,7,2,1] => [4,7,6,5,3,2,8,1] => 0101111
[4,6,7,5,3,2,8,1] => [8,3,5,4,7,6,2,1] => [4,6,7,5,3,2,8,1] => 0101011
[4,6,5,7,3,2,8,1] => [8,3,7,4,6,5,2,1] => [4,6,5,7,3,2,8,1] => 0100111
[3,5,6,7,4,2,8,1] => [8,4,3,7,5,6,2,1] => [3,5,6,7,4,2,8,1] => 0010011
[4,3,7,6,5,2,8,1] => [8,5,4,3,6,7,2,1] => [4,3,7,6,5,2,8,1] => 0011111
[4,3,6,7,5,2,8,1] => [8,5,4,3,7,6,2,1] => [4,3,6,7,5,2,8,1] => 0011011
[3,4,7,6,5,2,8,1] => [8,5,3,4,6,7,2,1] => [3,4,7,6,5,2,8,1] => 0001111
[3,4,6,7,5,2,8,1] => [8,5,3,4,7,6,2,1] => [3,4,6,7,5,2,8,1] => 0001011
[5,4,3,7,6,2,8,1] => [8,6,4,5,3,7,2,1] => [5,4,3,7,6,2,8,1] => 0011111
[4,5,3,7,6,2,8,1] => [8,6,5,4,3,7,2,1] => [4,5,3,7,6,2,8,1] => 0001111
[3,5,4,7,6,2,8,1] => [8,6,3,5,4,7,2,1] => [3,5,4,7,6,2,8,1] => 0001111
[4,6,5,3,7,2,8,1] => [8,7,5,4,6,3,2,1] => [4,6,5,3,7,2,8,1] => 0001111
[3,6,5,4,7,2,8,1] => [8,7,3,5,6,4,2,1] => [3,6,5,4,7,2,8,1] => 0001111
[3,5,6,4,7,2,8,1] => [8,7,3,6,5,4,2,1] => [3,5,6,4,7,2,8,1] => 0000111
[4,3,6,5,7,2,8,1] => [8,7,4,3,6,5,2,1] => [4,3,6,5,7,2,8,1] => 0010111
[3,4,6,5,7,2,8,1] => [8,7,3,4,6,5,2,1] => [3,4,6,5,7,2,8,1] => 0000111
[3,5,4,6,7,2,8,1] => [8,7,3,5,4,6,2,1] => [3,5,4,6,7,2,8,1] => 0001011
[2,7,6,5,4,3,8,1] => [8,2,4,5,6,7,3,1] => [2,7,6,5,4,3,8,1] => 0011111
[2,6,5,7,4,3,8,1] => [8,2,4,7,6,5,3,1] => [2,6,5,7,4,3,8,1] => 0010111
[2,5,6,7,4,3,8,1] => [8,2,4,7,5,6,3,1] => [2,5,6,7,4,3,8,1] => 0010011
[2,4,6,7,5,3,8,1] => [8,2,5,4,7,6,3,1] => [2,4,6,7,5,3,8,1] => 0001011
[2,5,4,7,6,3,8,1] => [8,2,6,5,4,7,3,1] => [2,5,4,7,6,3,8,1] => 0001111
[2,4,6,5,7,3,8,1] => [8,2,7,4,6,5,3,1] => [2,4,6,5,7,3,8,1] => 0000111
[2,5,4,6,7,3,8,1] => [8,2,7,5,4,6,3,1] => [2,5,4,6,7,3,8,1] => 0001011
[2,4,5,6,7,3,8,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,3,8,1] => 0000011
[3,2,7,6,5,4,8,1] => [8,3,2,5,6,7,4,1] => [3,2,7,6,5,4,8,1] => 0101111
[3,2,6,7,5,4,8,1] => [8,3,2,5,7,6,4,1] => [3,2,6,7,5,4,8,1] => 0101011
[3,2,5,7,6,4,8,1] => [8,3,2,6,5,7,4,1] => [3,2,5,7,6,4,8,1] => 0100111
[3,2,6,5,7,4,8,1] => [8,3,2,7,6,5,4,1] => [3,2,6,5,7,4,8,1] => 0100111
[3,2,5,6,7,4,8,1] => [8,3,2,7,5,6,4,1] => [3,2,5,6,7,4,8,1] => 0100011
[2,3,7,6,5,4,8,1] => [8,2,3,5,6,7,4,1] => [2,3,7,6,5,4,8,1] => 0001111
[2,3,5,6,7,4,8,1] => [8,2,3,7,5,6,4,1] => [2,3,5,6,7,4,8,1] => 0000011
[3,4,2,7,6,5,8,1] => [8,4,3,2,6,7,5,1] => [3,4,2,7,6,5,8,1] => 0010111
[3,4,2,6,7,5,8,1] => [8,4,3,2,7,6,5,1] => [3,4,2,6,7,5,8,1] => 0010011
[2,4,3,7,6,5,8,1] => [8,2,4,3,6,7,5,1] => [2,4,3,7,6,5,8,1] => 0010111
[2,4,3,6,7,5,8,1] => [8,2,4,3,7,6,5,1] => [2,4,3,6,7,5,8,1] => 0010011
[3,2,4,7,6,5,8,1] => [8,3,2,4,6,7,5,1] => [3,2,4,7,6,5,8,1] => 0100111
[2,3,4,6,7,5,8,1] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,5,8,1] => 0000011
[5,4,3,2,7,6,8,1] => [8,3,4,5,2,7,6,1] => [5,4,3,2,7,6,8,1] => 0111011
[3,5,4,2,7,6,8,1] => [8,4,3,5,2,7,6,1] => [3,5,4,2,7,6,8,1] => 0011011
[4,3,5,2,7,6,8,1] => [8,5,4,3,2,7,6,1] => [4,3,5,2,7,6,8,1] => 0011011
[3,4,5,2,7,6,8,1] => [8,5,3,4,2,7,6,1] => [3,4,5,2,7,6,8,1] => 0001011
[2,5,4,3,7,6,8,1] => [8,2,4,5,3,7,6,1] => [2,5,4,3,7,6,8,1] => 0011011
[3,2,5,4,7,6,8,1] => [8,3,2,5,4,7,6,1] => [3,2,5,4,7,6,8,1] => 0101011
[2,3,5,4,7,6,8,1] => [8,2,3,5,4,7,6,1] => [2,3,5,4,7,6,8,1] => 0001011
[3,4,2,5,7,6,8,1] => [8,4,3,2,5,7,6,1] => [3,4,2,5,7,6,8,1] => 0010011
[2,3,4,5,7,6,8,1] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,6,8,1] => 0000011
[3,6,5,4,2,7,8,1] => [8,4,3,5,6,2,7,1] => [3,6,5,4,2,7,8,1] => 0011101
[3,5,4,6,2,7,8,1] => [8,6,3,5,4,2,7,1] => [3,5,4,6,2,7,8,1] => 0001101
[2,6,5,4,3,7,8,1] => [8,2,4,5,6,3,7,1] => [2,6,5,4,3,7,8,1] => 0011101
[2,5,4,6,3,7,8,1] => [8,2,6,5,4,3,7,1] => [2,5,4,6,3,7,8,1] => 0001101
[2,4,5,6,3,7,8,1] => [8,2,6,4,5,3,7,1] => [2,4,5,6,3,7,8,1] => 0000101
[2,3,5,6,4,7,8,1] => [8,2,3,6,5,4,7,1] => [2,3,5,6,4,7,8,1] => 0000101
[4,3,2,6,5,7,8,1] => [8,3,4,2,6,5,7,1] => [4,3,2,6,5,7,8,1] => 0110101
[3,4,2,6,5,7,8,1] => [8,4,3,2,6,5,7,1] => [3,4,2,6,5,7,8,1] => 0010101
[2,4,3,6,5,7,8,1] => [8,2,4,3,6,5,7,1] => [2,4,3,6,5,7,8,1] => 0010101
[2,4,5,3,6,7,8,1] => [8,2,5,4,3,6,7,1] => [2,4,5,3,6,7,8,1] => 0001001
[2,3,5,4,6,7,8,1] => [8,2,3,5,4,6,7,1] => [2,3,5,4,6,7,8,1] => 0001001
[1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2] => [1,8,7,6,5,4,3,2] => 0111111
[1,7,8,6,5,4,3,2] => [1,3,4,5,6,8,7,2] => [1,7,8,6,5,4,3,2] => 0111101
[1,6,8,7,5,4,3,2] => [1,3,4,5,7,6,8,2] => [1,6,8,7,5,4,3,2] => 0111011
[1,7,6,8,5,4,3,2] => [1,3,4,5,8,7,6,2] => [1,7,6,8,5,4,3,2] => 0111011
[1,6,7,8,5,4,3,2] => [1,3,4,5,8,6,7,2] => [1,6,7,8,5,4,3,2] => 0111001
[1,5,8,7,6,4,3,2] => [1,3,4,6,5,7,8,2] => [1,5,8,7,6,4,3,2] => 0110111
[1,6,5,8,7,4,3,2] => [1,3,4,7,6,5,8,2] => [1,6,5,8,7,4,3,2] => 0110111
[1,6,7,5,8,4,3,2] => [1,3,4,8,7,6,5,2] => [1,6,7,5,8,4,3,2] => 0110011
[1,6,5,7,8,4,3,2] => [1,3,4,8,6,5,7,2] => [1,6,5,7,8,4,3,2] => 0110101
[1,5,6,7,8,4,3,2] => [1,3,4,8,5,6,7,2] => [1,5,6,7,8,4,3,2] => 0110001
[1,4,8,7,6,5,3,2] => [1,3,5,4,6,7,8,2] => [1,4,8,7,6,5,3,2] => 0101111
[1,4,6,8,7,5,3,2] => [1,3,5,4,7,6,8,2] => [1,4,6,8,7,5,3,2] => 0101011
[1,5,4,7,8,6,3,2] => [1,3,6,5,4,8,7,2] => [1,5,4,7,8,6,3,2] => 0101101
[1,4,5,8,7,6,3,2] => [1,3,6,4,5,7,8,2] => [1,4,5,8,7,6,3,2] => 0100111
[1,4,5,7,8,6,3,2] => [1,3,6,4,5,8,7,2] => [1,4,5,7,8,6,3,2] => 0100101
[1,7,6,5,4,8,3,2] => [1,3,8,5,6,7,4,2] => [1,7,6,5,4,8,3,2] => 0101111
[1,4,7,6,5,8,3,2] => [1,3,8,4,6,7,5,2] => [1,4,7,6,5,8,3,2] => 0100111
[1,5,4,6,7,8,3,2] => [1,3,8,5,4,6,7,2] => [1,5,4,6,7,8,3,2] => 0101001
[1,4,5,6,7,8,3,2] => [1,3,8,4,5,6,7,2] => [1,4,5,6,7,8,3,2] => 0100001
[1,3,8,7,6,5,4,2] => [1,4,3,5,6,7,8,2] => [1,3,8,7,6,5,4,2] => 0011111
[1,3,6,7,8,5,4,2] => [1,4,3,5,8,6,7,2] => [1,3,6,7,8,5,4,2] => 0011001
[1,3,5,8,7,6,4,2] => [1,4,3,6,5,7,8,2] => [1,3,5,8,7,6,4,2] => 0010111
[1,3,5,7,8,6,4,2] => [1,4,3,6,5,8,7,2] => [1,3,5,7,8,6,4,2] => 0010101
[1,3,6,7,5,8,4,2] => [1,4,3,8,7,6,5,2] => [1,3,6,7,5,8,4,2] => 0010011
[1,3,5,7,6,8,4,2] => [1,4,3,8,5,7,6,2] => [1,3,5,7,6,8,4,2] => 0010011
[1,3,6,5,7,8,4,2] => [1,4,3,8,6,5,7,2] => [1,3,6,5,7,8,4,2] => 0010101
[1,3,5,6,7,8,4,2] => [1,4,3,8,5,6,7,2] => [1,3,5,6,7,8,4,2] => 0010001
[1,4,3,8,7,6,5,2] => [1,5,4,3,6,7,8,2] => [1,4,3,8,7,6,5,2] => 0011111
[1,4,3,7,8,6,5,2] => [1,5,4,3,6,8,7,2] => [1,4,3,7,8,6,5,2] => 0011101
[1,4,3,7,6,8,5,2] => [1,5,4,3,8,7,6,2] => [1,4,3,7,6,8,5,2] => 0011011
[1,3,4,8,7,6,5,2] => [1,5,3,4,6,7,8,2] => [1,3,4,8,7,6,5,2] => 0001111
[1,3,4,6,7,8,5,2] => [1,5,3,4,8,6,7,2] => [1,3,4,6,7,8,5,2] => 0001001
[1,4,5,3,8,7,6,2] => [1,6,5,4,3,7,8,2] => [1,4,5,3,8,7,6,2] => 0001111
[1,4,5,3,7,8,6,2] => [1,6,5,4,3,8,7,2] => [1,4,5,3,7,8,6,2] => 0001101
[1,3,5,4,7,8,6,2] => [1,6,3,5,4,8,7,2] => [1,3,5,4,7,8,6,2] => 0001101
[1,4,3,5,7,8,6,2] => [1,6,4,3,5,8,7,2] => [1,4,3,5,7,8,6,2] => 0010101
[1,3,4,5,7,8,6,2] => [1,6,3,4,5,8,7,2] => [1,3,4,5,7,8,6,2] => 0000101
[1,6,5,4,3,8,7,2] => [1,7,4,5,6,3,8,2] => [1,6,5,4,3,8,7,2] => 0011111
[1,4,3,6,5,8,7,2] => [1,7,4,3,6,5,8,2] => [1,4,3,6,5,8,7,2] => 0010111
[1,5,4,3,6,8,7,2] => [1,7,4,5,3,6,8,2] => [1,5,4,3,6,8,7,2] => 0011011
[1,4,5,3,6,8,7,2] => [1,7,5,4,3,6,8,2] => [1,4,5,3,6,8,7,2] => 0001011
[1,3,4,5,6,8,7,2] => [1,7,3,4,5,6,8,2] => [1,3,4,5,6,8,7,2] => 0000011
[1,7,6,5,4,3,8,2] => [1,8,4,5,6,7,3,2] => [1,7,6,5,4,3,8,2] => 0011111
[1,6,5,7,4,3,8,2] => [1,8,4,7,6,5,3,2] => [1,6,5,7,4,3,8,2] => 0010111
[1,4,6,7,5,3,8,2] => [1,8,5,4,7,6,3,2] => [1,4,6,7,5,3,8,2] => 0001011
[1,5,6,4,7,3,8,2] => [1,8,7,6,5,4,3,2] => [1,5,6,4,7,3,8,2] => 0000111
[1,5,4,6,7,3,8,2] => [1,8,7,5,4,6,3,2] => [1,5,4,6,7,3,8,2] => 0001011
[1,4,5,6,7,3,8,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,3,8,2] => 0000011
[1,3,6,5,7,4,8,2] => [1,8,3,7,6,5,4,2] => [1,3,6,5,7,4,8,2] => 0000111
[1,3,5,6,7,4,8,2] => [1,8,3,7,5,6,4,2] => [1,3,5,6,7,4,8,2] => 0000011
[1,3,4,7,6,5,8,2] => [1,8,3,4,6,7,5,2] => [1,3,4,7,6,5,8,2] => 0000111
[1,3,4,6,7,5,8,2] => [1,8,3,4,7,6,5,2] => [1,3,4,6,7,5,8,2] => 0000011
[1,3,5,4,7,6,8,2] => [1,8,3,5,4,7,6,2] => [1,3,5,4,7,6,8,2] => 0001011
[1,6,5,4,3,7,8,2] => [1,8,4,5,6,3,7,2] => [1,6,5,4,3,7,8,2] => 0011101
[1,5,4,6,3,7,8,2] => [1,8,6,5,4,3,7,2] => [1,5,4,6,3,7,8,2] => 0001101
[1,3,5,6,4,7,8,2] => [1,8,3,6,5,4,7,2] => [1,3,5,6,4,7,8,2] => 0000101
[1,4,3,6,5,7,8,2] => [1,8,4,3,6,5,7,2] => [1,4,3,6,5,7,8,2] => 0010101
[1,5,4,3,6,7,8,2] => [1,8,4,5,3,6,7,2] => [1,5,4,3,6,7,8,2] => 0011001
[1,4,5,3,6,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,3,6,7,8,2] => 0001001
[1,3,5,4,6,7,8,2] => [1,8,3,5,4,6,7,2] => [1,3,5,4,6,7,8,2] => 0001001
[1,4,3,5,6,7,8,2] => [1,8,4,3,5,6,7,2] => [1,4,3,5,6,7,8,2] => 0010001
[1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => 0000001
[2,1,8,7,6,5,4,3] => [2,1,4,5,6,7,8,3] => [2,1,8,7,6,5,4,3] => 1011111
[2,1,7,8,6,5,4,3] => [2,1,4,5,6,8,7,3] => [2,1,7,8,6,5,4,3] => 1011101
[2,1,7,6,8,5,4,3] => [2,1,4,5,8,7,6,3] => [2,1,7,6,8,5,4,3] => 1011011
[2,1,6,7,8,5,4,3] => [2,1,4,5,8,6,7,3] => [2,1,6,7,8,5,4,3] => 1011001
[2,1,5,7,8,6,4,3] => [2,1,4,6,5,8,7,3] => [2,1,5,7,8,6,4,3] => 1010101
[2,1,6,5,8,7,4,3] => [2,1,4,7,6,5,8,3] => [2,1,6,5,8,7,4,3] => 1010111
[2,1,7,6,5,8,4,3] => [2,1,4,8,6,7,5,3] => [2,1,7,6,5,8,4,3] => 1010111
[2,1,6,7,5,8,4,3] => [2,1,4,8,7,6,5,3] => [2,1,6,7,5,8,4,3] => 1010011
[2,1,5,7,6,8,4,3] => [2,1,4,8,5,7,6,3] => [2,1,5,7,6,8,4,3] => 1010011
[2,1,6,5,7,8,4,3] => [2,1,4,8,6,5,7,3] => [2,1,6,5,7,8,4,3] => 1010101
[2,1,5,6,7,8,4,3] => [2,1,4,8,5,6,7,3] => [2,1,5,6,7,8,4,3] => 1010001
[2,1,4,8,7,6,5,3] => [2,1,5,4,6,7,8,3] => [2,1,4,8,7,6,5,3] => 1001111
[2,1,4,7,8,6,5,3] => [2,1,5,4,6,8,7,3] => [2,1,4,7,8,6,5,3] => 1001101
[2,1,4,6,8,7,5,3] => [2,1,5,4,7,6,8,3] => [2,1,4,6,8,7,5,3] => 1001011
[2,1,4,7,6,8,5,3] => [2,1,5,4,8,7,6,3] => [2,1,4,7,6,8,5,3] => 1001011
[2,1,4,6,7,8,5,3] => [2,1,5,4,8,6,7,3] => [2,1,4,6,7,8,5,3] => 1001001
[2,1,5,4,7,8,6,3] => [2,1,6,5,4,8,7,3] => [2,1,5,4,7,8,6,3] => 1001101
[2,1,4,5,8,7,6,3] => [2,1,6,4,5,7,8,3] => [2,1,4,5,8,7,6,3] => 1000111
[2,1,4,5,7,8,6,3] => [2,1,6,4,5,8,7,3] => [2,1,4,5,7,8,6,3] => 1000101
[2,1,6,5,4,8,7,3] => [2,1,7,5,6,4,8,3] => [2,1,6,5,4,8,7,3] => 1001111
[2,1,5,6,4,8,7,3] => [2,1,7,6,5,4,8,3] => [2,1,5,6,4,8,7,3] => 1000111
[2,1,4,6,5,8,7,3] => [2,1,7,4,6,5,8,3] => [2,1,4,6,5,8,7,3] => 1000111
[2,1,5,4,6,8,7,3] => [2,1,7,5,4,6,8,3] => [2,1,5,4,6,8,7,3] => 1001011
[2,1,7,6,5,4,8,3] => [2,1,8,5,6,7,4,3] => [2,1,7,6,5,4,8,3] => 1001111
[2,1,6,7,5,4,8,3] => [2,1,8,5,7,6,4,3] => [2,1,6,7,5,4,8,3] => 1001011
[2,1,5,7,6,4,8,3] => [2,1,8,6,5,7,4,3] => [2,1,5,7,6,4,8,3] => 1000111
[2,1,6,5,7,4,8,3] => [2,1,8,7,6,5,4,3] => [2,1,6,5,7,4,8,3] => 1000111
[2,1,5,6,7,4,8,3] => [2,1,8,7,5,6,4,3] => [2,1,5,6,7,4,8,3] => 1000011
[2,1,4,7,6,5,8,3] => [2,1,8,4,6,7,5,3] => [2,1,4,7,6,5,8,3] => 1000111
[2,1,4,6,7,5,8,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,5,8,3] => 1000011
[2,1,5,4,7,6,8,3] => [2,1,8,5,4,7,6,3] => [2,1,5,4,7,6,8,3] => 1001011
[2,1,5,6,4,7,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,4,7,8,3] => 1000101
[2,1,5,4,6,7,8,3] => [2,1,8,5,4,6,7,3] => [2,1,5,4,6,7,8,3] => 1001001
[2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => 1000001
[1,2,8,7,6,5,4,3] => [1,2,4,5,6,7,8,3] => [1,2,8,7,6,5,4,3] => 0011111
[1,2,7,8,6,5,4,3] => [1,2,4,5,6,8,7,3] => [1,2,7,8,6,5,4,3] => 0011101
[1,2,7,6,8,5,4,3] => [1,2,4,5,8,7,6,3] => [1,2,7,6,8,5,4,3] => 0011011
[1,2,6,7,8,5,4,3] => [1,2,4,5,8,6,7,3] => [1,2,6,7,8,5,4,3] => 0011001
[1,2,5,8,7,6,4,3] => [1,2,4,6,5,7,8,3] => [1,2,5,8,7,6,4,3] => 0010111
[1,2,6,5,8,7,4,3] => [1,2,4,7,6,5,8,3] => [1,2,6,5,8,7,4,3] => 0010111
[1,2,5,6,8,7,4,3] => [1,2,4,7,5,6,8,3] => [1,2,5,6,8,7,4,3] => 0010011
[1,2,6,5,7,8,4,3] => [1,2,4,8,6,5,7,3] => [1,2,6,5,7,8,4,3] => 0010101
[1,2,5,6,7,8,4,3] => [1,2,4,8,5,6,7,3] => [1,2,5,6,7,8,4,3] => 0010001
[1,2,4,8,7,6,5,3] => [1,2,5,4,6,7,8,3] => [1,2,4,8,7,6,5,3] => 0001111
[1,2,4,7,8,6,5,3] => [1,2,5,4,6,8,7,3] => [1,2,4,7,8,6,5,3] => 0001101
[1,2,4,6,8,7,5,3] => [1,2,5,4,7,6,8,3] => [1,2,4,6,8,7,5,3] => 0001011
[1,2,4,7,6,8,5,3] => [1,2,5,4,8,7,6,3] => [1,2,4,7,6,8,5,3] => 0001011
[1,2,4,6,7,8,5,3] => [1,2,5,4,8,6,7,3] => [1,2,4,6,7,8,5,3] => 0001001
[1,2,5,4,8,7,6,3] => [1,2,6,5,4,7,8,3] => [1,2,5,4,8,7,6,3] => 0001111
[1,2,5,4,7,8,6,3] => [1,2,6,5,4,8,7,3] => [1,2,5,4,7,8,6,3] => 0001101
[1,2,4,5,8,7,6,3] => [1,2,6,4,5,7,8,3] => [1,2,4,5,8,7,6,3] => 0000111
[1,2,4,5,7,8,6,3] => [1,2,6,4,5,8,7,3] => [1,2,4,5,7,8,6,3] => 0000101
[1,2,5,4,6,8,7,3] => [1,2,7,5,4,6,8,3] => [1,2,5,4,6,8,7,3] => 0001011
[1,2,4,5,6,8,7,3] => [1,2,7,4,5,6,8,3] => [1,2,4,5,6,8,7,3] => 0000011
[1,2,7,6,5,4,8,3] => [1,2,8,5,6,7,4,3] => [1,2,7,6,5,4,8,3] => 0001111
[1,2,5,7,6,4,8,3] => [1,2,8,6,5,7,4,3] => [1,2,5,7,6,4,8,3] => 0000111
[1,2,5,6,7,4,8,3] => [1,2,8,7,5,6,4,3] => [1,2,5,6,7,4,8,3] => 0000011
[1,2,4,7,6,5,8,3] => [1,2,8,4,6,7,5,3] => [1,2,4,7,6,5,8,3] => 0000111
[1,2,5,4,7,6,8,3] => [1,2,8,5,4,7,6,3] => [1,2,5,4,7,6,8,3] => 0001011
[1,2,6,5,4,7,8,3] => [1,2,8,5,6,4,7,3] => [1,2,6,5,4,7,8,3] => 0001101
[1,2,5,6,4,7,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,4,7,8,3] => 0000101
[1,2,5,4,6,7,8,3] => [1,2,8,5,4,6,7,3] => [1,2,5,4,6,7,8,3] => 0001001
[1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => 0000001
[3,2,1,8,7,6,5,4] => [2,3,1,5,6,7,8,4] => [3,2,1,8,7,6,5,4] => 1101111
[3,2,1,6,8,7,5,4] => [2,3,1,5,7,6,8,4] => [3,2,1,6,8,7,5,4] => 1101011
[3,2,1,6,7,8,5,4] => [2,3,1,5,8,6,7,4] => [3,2,1,6,7,8,5,4] => 1101001
[3,2,1,5,7,8,6,4] => [2,3,1,6,5,8,7,4] => [3,2,1,5,7,8,6,4] => 1100101
[3,2,1,6,5,8,7,4] => [2,3,1,7,6,5,8,4] => [3,2,1,6,5,8,7,4] => 1100111
[3,2,1,7,6,5,8,4] => [2,3,1,8,6,7,5,4] => [3,2,1,7,6,5,8,4] => 1100111
[3,2,1,6,7,5,8,4] => [2,3,1,8,7,6,5,4] => [3,2,1,6,7,5,8,4] => 1100011
[3,2,1,5,6,7,8,4] => [2,3,1,8,5,6,7,4] => [3,2,1,5,6,7,8,4] => 1100001
[2,3,1,8,7,6,5,4] => [3,2,1,5,6,7,8,4] => [2,3,1,8,7,6,5,4] => 0101111
[2,3,1,7,8,6,5,4] => [3,2,1,5,6,8,7,4] => [2,3,1,7,8,6,5,4] => 0101101
[2,3,1,6,8,7,5,4] => [3,2,1,5,7,6,8,4] => [2,3,1,6,8,7,5,4] => 0101011
[2,3,1,7,6,8,5,4] => [3,2,1,5,8,7,6,4] => [2,3,1,7,6,8,5,4] => 0101011
[2,3,1,6,7,8,5,4] => [3,2,1,5,8,6,7,4] => [2,3,1,6,7,8,5,4] => 0101001
[2,3,1,5,7,8,6,4] => [3,2,1,6,5,8,7,4] => [2,3,1,5,7,8,6,4] => 0100101
[2,3,1,6,5,8,7,4] => [3,2,1,7,6,5,8,4] => [2,3,1,6,5,8,7,4] => 0100111
[2,3,1,7,6,5,8,4] => [3,2,1,8,6,7,5,4] => [2,3,1,7,6,5,8,4] => 0100111
[2,3,1,6,7,5,8,4] => [3,2,1,8,7,6,5,4] => [2,3,1,6,7,5,8,4] => 0100011
[2,3,1,5,7,6,8,4] => [3,2,1,8,5,7,6,4] => [2,3,1,5,7,6,8,4] => 0100011
[2,3,1,5,6,7,8,4] => [3,2,1,8,5,6,7,4] => [2,3,1,5,6,7,8,4] => 0100001
[1,3,2,8,7,6,5,4] => [1,3,2,5,6,7,8,4] => [1,3,2,8,7,6,5,4] => 0101111
[1,3,2,6,8,7,5,4] => [1,3,2,5,7,6,8,4] => [1,3,2,6,8,7,5,4] => 0101011
[1,3,2,7,6,8,5,4] => [1,3,2,5,8,7,6,4] => [1,3,2,7,6,8,5,4] => 0101011
[1,3,2,5,8,7,6,4] => [1,3,2,6,5,7,8,4] => [1,3,2,5,8,7,6,4] => 0100111
[1,3,2,5,7,8,6,4] => [1,3,2,6,5,8,7,4] => [1,3,2,5,7,8,6,4] => 0100101
[1,3,2,6,5,8,7,4] => [1,3,2,7,6,5,8,4] => [1,3,2,6,5,8,7,4] => 0100111
[1,3,2,5,6,8,7,4] => [1,3,2,7,5,6,8,4] => [1,3,2,5,6,8,7,4] => 0100011
[1,3,2,7,6,5,8,4] => [1,3,2,8,6,7,5,4] => [1,3,2,7,6,5,8,4] => 0100111
[1,3,2,6,7,5,8,4] => [1,3,2,8,7,6,5,4] => [1,3,2,6,7,5,8,4] => 0100011
[1,3,2,5,7,6,8,4] => [1,3,2,8,5,7,6,4] => [1,3,2,5,7,6,8,4] => 0100011
[1,3,2,6,5,7,8,4] => [1,3,2,8,6,5,7,4] => [1,3,2,6,5,7,8,4] => 0100101
[2,1,3,8,7,6,5,4] => [2,1,3,5,6,7,8,4] => [2,1,3,8,7,6,5,4] => 1001111
[2,1,3,6,8,7,5,4] => [2,1,3,5,7,6,8,4] => [2,1,3,6,8,7,5,4] => 1001011
[2,1,3,6,7,8,5,4] => [2,1,3,5,8,6,7,4] => [2,1,3,6,7,8,5,4] => 1001001
[2,1,3,5,7,6,8,4] => [2,1,3,8,5,7,6,4] => [2,1,3,5,7,6,8,4] => 1000011
[2,1,3,5,6,7,8,4] => [2,1,3,8,5,6,7,4] => [2,1,3,5,6,7,8,4] => 1000001
[1,2,3,8,7,6,5,4] => [1,2,3,5,6,7,8,4] => [1,2,3,8,7,6,5,4] => 0001111
[1,2,3,7,8,6,5,4] => [1,2,3,5,6,8,7,4] => [1,2,3,7,8,6,5,4] => 0001101
[1,2,3,6,8,7,5,4] => [1,2,3,5,7,6,8,4] => [1,2,3,6,8,7,5,4] => 0001011
[1,2,3,7,6,8,5,4] => [1,2,3,5,8,7,6,4] => [1,2,3,7,6,8,5,4] => 0001011
[1,2,3,6,7,8,5,4] => [1,2,3,5,8,6,7,4] => [1,2,3,6,7,8,5,4] => 0001001
[1,2,3,5,8,7,6,4] => [1,2,3,6,5,7,8,4] => [1,2,3,5,8,7,6,4] => 0000111
[1,2,3,5,7,8,6,4] => [1,2,3,6,5,8,7,4] => [1,2,3,5,7,8,6,4] => 0000101
[1,2,3,6,5,8,7,4] => [1,2,3,7,6,5,8,4] => [1,2,3,6,5,8,7,4] => 0000111
[1,2,3,5,6,8,7,4] => [1,2,3,7,5,6,8,4] => [1,2,3,5,6,8,7,4] => 0000011
[1,2,3,7,6,5,8,4] => [1,2,3,8,6,7,5,4] => [1,2,3,7,6,5,8,4] => 0000111
[1,2,3,6,7,5,8,4] => [1,2,3,8,7,6,5,4] => [1,2,3,6,7,5,8,4] => 0000011
[1,2,3,5,7,6,8,4] => [1,2,3,8,5,7,6,4] => [1,2,3,5,7,6,8,4] => 0000011
[1,2,3,6,5,7,8,4] => [1,2,3,8,6,5,7,4] => [1,2,3,6,5,7,8,4] => 0000101
[1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => [1,2,3,5,6,7,8,4] => 0000001
[4,3,2,1,8,7,6,5] => [2,3,4,1,6,7,8,5] => [4,3,2,1,8,7,6,5] => 1110111
[4,3,2,1,7,8,6,5] => [2,3,4,1,6,8,7,5] => [4,3,2,1,7,8,6,5] => 1110101
[4,3,2,1,6,8,7,5] => [2,3,4,1,7,6,8,5] => [4,3,2,1,6,8,7,5] => 1110011
[4,3,2,1,7,6,8,5] => [2,3,4,1,8,7,6,5] => [4,3,2,1,7,6,8,5] => 1110011
[4,3,2,1,6,7,8,5] => [2,3,4,1,8,6,7,5] => [4,3,2,1,6,7,8,5] => 1110001
[3,4,2,1,8,7,6,5] => [2,4,3,1,6,7,8,5] => [3,4,2,1,8,7,6,5] => 1010111
[3,4,2,1,7,8,6,5] => [2,4,3,1,6,8,7,5] => [3,4,2,1,7,8,6,5] => 1010101
[3,4,2,1,6,8,7,5] => [2,4,3,1,7,6,8,5] => [3,4,2,1,6,8,7,5] => 1010011
[3,4,2,1,7,6,8,5] => [2,4,3,1,8,7,6,5] => [3,4,2,1,7,6,8,5] => 1010011
[3,4,2,1,6,7,8,5] => [2,4,3,1,8,6,7,5] => [3,4,2,1,6,7,8,5] => 1010001
[2,4,3,1,8,7,6,5] => [3,2,4,1,6,7,8,5] => [2,4,3,1,8,7,6,5] => 0110111
[2,4,3,1,7,8,6,5] => [3,2,4,1,6,8,7,5] => [2,4,3,1,7,8,6,5] => 0110101
[2,4,3,1,6,8,7,5] => [3,2,4,1,7,6,8,5] => [2,4,3,1,6,8,7,5] => 0110011
[2,4,3,1,7,6,8,5] => [3,2,4,1,8,7,6,5] => [2,4,3,1,7,6,8,5] => 0110011
[2,4,3,1,6,7,8,5] => [3,2,4,1,8,6,7,5] => [2,4,3,1,6,7,8,5] => 0110001
[3,2,4,1,8,7,6,5] => [4,3,2,1,6,7,8,5] => [3,2,4,1,8,7,6,5] => 0110111
[3,2,4,1,7,8,6,5] => [4,3,2,1,6,8,7,5] => [3,2,4,1,7,8,6,5] => 0110101
[3,2,4,1,6,8,7,5] => [4,3,2,1,7,6,8,5] => [3,2,4,1,6,8,7,5] => 0110011
[3,2,4,1,7,6,8,5] => [4,3,2,1,8,7,6,5] => [3,2,4,1,7,6,8,5] => 0110011
[3,2,4,1,6,7,8,5] => [4,3,2,1,8,6,7,5] => [3,2,4,1,6,7,8,5] => 0110001
[2,3,4,1,8,7,6,5] => [4,2,3,1,6,7,8,5] => [2,3,4,1,8,7,6,5] => 0010111
[2,3,4,1,7,8,6,5] => [4,2,3,1,6,8,7,5] => [2,3,4,1,7,8,6,5] => 0010101
[2,3,4,1,6,8,7,5] => [4,2,3,1,7,6,8,5] => [2,3,4,1,6,8,7,5] => 0010011
[2,3,4,1,7,6,8,5] => [4,2,3,1,8,7,6,5] => [2,3,4,1,7,6,8,5] => 0010011
[2,3,4,1,6,7,8,5] => [4,2,3,1,8,6,7,5] => [2,3,4,1,6,7,8,5] => 0010001
[1,4,3,2,8,7,6,5] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,7,6,5] => 0110111
[1,4,3,2,6,8,7,5] => [1,3,4,2,7,6,8,5] => [1,4,3,2,6,8,7,5] => 0110011
[1,4,3,2,7,6,8,5] => [1,3,4,2,8,7,6,5] => [1,4,3,2,7,6,8,5] => 0110011
[1,4,3,2,6,7,8,5] => [1,3,4,2,8,6,7,5] => [1,4,3,2,6,7,8,5] => 0110001
[1,3,4,2,8,7,6,5] => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,7,6,5] => 0010111
[1,3,4,2,7,8,6,5] => [1,4,3,2,6,8,7,5] => [1,3,4,2,7,8,6,5] => 0010101
[1,3,4,2,6,8,7,5] => [1,4,3,2,7,6,8,5] => [1,3,4,2,6,8,7,5] => 0010011
[1,3,4,2,7,6,8,5] => [1,4,3,2,8,7,6,5] => [1,3,4,2,7,6,8,5] => 0010011
[1,3,4,2,6,7,8,5] => [1,4,3,2,8,6,7,5] => [1,3,4,2,6,7,8,5] => 0010001
[2,1,4,3,8,7,6,5] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,7,6,5] => 1010111
[2,1,4,3,7,8,6,5] => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,8,6,5] => 1010101
[2,1,4,3,6,8,7,5] => [2,1,4,3,7,6,8,5] => [2,1,4,3,6,8,7,5] => 1010011
[2,1,4,3,7,6,8,5] => [2,1,4,3,8,7,6,5] => [2,1,4,3,7,6,8,5] => 1010011
[2,1,4,3,6,7,8,5] => [2,1,4,3,8,6,7,5] => [2,1,4,3,6,7,8,5] => 1010001
[1,2,4,3,8,7,6,5] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,7,6,5] => 0010111
[1,2,4,3,7,8,6,5] => [1,2,4,3,6,8,7,5] => [1,2,4,3,7,8,6,5] => 0010101
[1,2,4,3,6,8,7,5] => [1,2,4,3,7,6,8,5] => [1,2,4,3,6,8,7,5] => 0010011
[1,2,4,3,7,6,8,5] => [1,2,4,3,8,7,6,5] => [1,2,4,3,7,6,8,5] => 0010011
[1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => [1,2,4,3,6,7,8,5] => 0010001
[3,2,1,4,8,7,6,5] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,7,6,5] => 1100111
[3,2,1,4,6,8,7,5] => [2,3,1,4,7,6,8,5] => [3,2,1,4,6,8,7,5] => 1100011
[3,2,1,4,7,6,8,5] => [2,3,1,4,8,7,6,5] => [3,2,1,4,7,6,8,5] => 1100011
[2,3,1,4,8,7,6,5] => [3,2,1,4,6,7,8,5] => [2,3,1,4,8,7,6,5] => 0100111
[2,3,1,4,7,8,6,5] => [3,2,1,4,6,8,7,5] => [2,3,1,4,7,8,6,5] => 0100101
[2,3,1,4,7,6,8,5] => [3,2,1,4,8,7,6,5] => [2,3,1,4,7,6,8,5] => 0100011
[2,3,1,4,6,7,8,5] => [3,2,1,4,8,6,7,5] => [2,3,1,4,6,7,8,5] => 0100001
[1,3,2,4,8,7,6,5] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,7,6,5] => 0100111
[1,3,2,4,6,8,7,5] => [1,3,2,4,7,6,8,5] => [1,3,2,4,6,8,7,5] => 0100011
[1,3,2,4,7,6,8,5] => [1,3,2,4,8,7,6,5] => [1,3,2,4,7,6,8,5] => 0100011
[1,3,2,4,6,7,8,5] => [1,3,2,4,8,6,7,5] => [1,3,2,4,6,7,8,5] => 0100001
[2,1,3,4,8,7,6,5] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,7,6,5] => 1000111
[2,1,3,4,7,6,8,5] => [2,1,3,4,8,7,6,5] => [2,1,3,4,7,6,8,5] => 1000011
[2,1,3,4,6,7,8,5] => [2,1,3,4,8,6,7,5] => [2,1,3,4,6,7,8,5] => 1000001
[1,2,3,4,8,7,6,5] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,7,6,5] => 0000111
[1,2,3,4,7,8,6,5] => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,8,6,5] => 0000101
[1,2,3,4,6,8,7,5] => [1,2,3,4,7,6,8,5] => [1,2,3,4,6,8,7,5] => 0000011
[1,2,3,4,7,6,8,5] => [1,2,3,4,8,7,6,5] => [1,2,3,4,7,6,8,5] => 0000011
[1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => [1,2,3,4,6,7,8,5] => 0000001
[5,4,3,2,1,8,7,6] => [2,3,4,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => 1111011
[5,4,3,2,1,7,8,6] => [2,3,4,5,1,8,7,6] => [5,4,3,2,1,7,8,6] => 1111001
[3,5,4,2,1,8,7,6] => [2,4,3,5,1,7,8,6] => [3,5,4,2,1,8,7,6] => 1011011
[3,5,4,2,1,7,8,6] => [2,4,3,5,1,8,7,6] => [3,5,4,2,1,7,8,6] => 1011001
[4,3,5,2,1,8,7,6] => [2,5,4,3,1,7,8,6] => [4,3,5,2,1,8,7,6] => 1011011
[3,4,5,2,1,7,8,6] => [2,5,3,4,1,8,7,6] => [3,4,5,2,1,7,8,6] => 1001001
[2,5,4,3,1,7,8,6] => [3,2,4,5,1,8,7,6] => [2,5,4,3,1,7,8,6] => 0111001
[2,4,5,3,1,8,7,6] => [3,2,5,4,1,7,8,6] => [2,4,5,3,1,8,7,6] => 0101011
[2,4,5,3,1,7,8,6] => [3,2,5,4,1,8,7,6] => [2,4,5,3,1,7,8,6] => 0101001
[3,2,5,4,1,8,7,6] => [4,3,2,5,1,7,8,6] => [3,2,5,4,1,8,7,6] => 0111011
[3,2,5,4,1,7,8,6] => [4,3,2,5,1,8,7,6] => [3,2,5,4,1,7,8,6] => 0111001
[2,3,5,4,1,8,7,6] => [4,2,3,5,1,7,8,6] => [2,3,5,4,1,8,7,6] => 0011011
[4,3,2,5,1,8,7,6] => [5,3,4,2,1,7,8,6] => [4,3,2,5,1,8,7,6] => 0111011
[4,3,2,5,1,7,8,6] => [5,3,4,2,1,8,7,6] => [4,3,2,5,1,7,8,6] => 0111001
[3,4,2,5,1,8,7,6] => [5,4,3,2,1,7,8,6] => [3,4,2,5,1,8,7,6] => 0011011
[3,4,2,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => [3,4,2,5,1,7,8,6] => 0011001
[2,4,3,5,1,7,8,6] => [5,2,4,3,1,8,7,6] => [2,4,3,5,1,7,8,6] => 0011001
[2,3,4,5,1,8,7,6] => [5,2,3,4,1,7,8,6] => [2,3,4,5,1,8,7,6] => 0001011
[2,3,4,5,1,7,8,6] => [5,2,3,4,1,8,7,6] => [2,3,4,5,1,7,8,6] => 0001001
[1,5,4,3,2,8,7,6] => [1,3,4,5,2,7,8,6] => [1,5,4,3,2,8,7,6] => 0111011
[1,5,4,3,2,7,8,6] => [1,3,4,5,2,8,7,6] => [1,5,4,3,2,7,8,6] => 0111001
[1,4,5,3,2,8,7,6] => [1,3,5,4,2,7,8,6] => [1,4,5,3,2,8,7,6] => 0101011
[1,3,5,4,2,7,8,6] => [1,4,3,5,2,8,7,6] => [1,3,5,4,2,7,8,6] => 0011001
[1,4,3,5,2,8,7,6] => [1,5,4,3,2,7,8,6] => [1,4,3,5,2,8,7,6] => 0011011
[1,4,3,5,2,7,8,6] => [1,5,4,3,2,8,7,6] => [1,4,3,5,2,7,8,6] => 0011001
[1,3,4,5,2,8,7,6] => [1,5,3,4,2,7,8,6] => [1,3,4,5,2,8,7,6] => 0001011
[1,3,4,5,2,7,8,6] => [1,5,3,4,2,8,7,6] => [1,3,4,5,2,7,8,6] => 0001001
[1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => 0011011
[1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6] => 0011001
[1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6] => 0001011
[1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => 0001001
[1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => 0101011
[1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => 0101001
[2,1,3,5,4,8,7,6] => [2,1,3,5,4,7,8,6] => [2,1,3,5,4,8,7,6] => 1001011
[2,1,3,5,4,7,8,6] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,7,8,6] => 1001001
[1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => 0001011
[1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => 0001001
[4,3,2,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6] => 1110011
[4,3,2,1,5,7,8,6] => [2,3,4,1,5,8,7,6] => [4,3,2,1,5,7,8,6] => 1110001
[2,4,3,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => [2,4,3,1,5,8,7,6] => 0110011
[3,2,4,1,5,8,7,6] => [4,3,2,1,5,7,8,6] => [3,2,4,1,5,8,7,6] => 0110011
[3,2,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => 0110001
[2,3,4,1,5,8,7,6] => [4,2,3,1,5,7,8,6] => [2,3,4,1,5,8,7,6] => 0010011
[2,3,4,1,5,7,8,6] => [4,2,3,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => 0010001
[1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => 0110011
[1,4,3,2,5,7,8,6] => [1,3,4,2,5,8,7,6] => [1,4,3,2,5,7,8,6] => 0110001
[1,3,4,2,5,8,7,6] => [1,4,3,2,5,7,8,6] => [1,3,4,2,5,8,7,6] => 0010011
[1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => 0010001
[2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => 1010011
[2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => 1010001
[1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => 0010011
[1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => 0010001
[3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => 1100011
[2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => 0100001
[1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => 0100011
[1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => 0100001
[2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6] => 1000011
[2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => 1000001
[1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => 0000011
[1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => 0000001
[6,5,4,3,2,1,8,7] => [2,3,4,5,6,1,8,7] => [6,5,4,3,2,1,8,7] => 1111101
[5,4,6,3,2,1,8,7] => [2,3,6,5,4,1,8,7] => [5,4,6,3,2,1,8,7] => 1101101
[4,5,6,3,2,1,8,7] => [2,3,6,4,5,1,8,7] => [4,5,6,3,2,1,8,7] => 1100101
[3,6,5,4,2,1,8,7] => [2,4,3,5,6,1,8,7] => [3,6,5,4,2,1,8,7] => 1011101
[3,5,6,4,2,1,8,7] => [2,4,3,6,5,1,8,7] => [3,5,6,4,2,1,8,7] => 1010101
[4,3,6,5,2,1,8,7] => [2,5,4,3,6,1,8,7] => [4,3,6,5,2,1,8,7] => 1011101
[5,4,3,6,2,1,8,7] => [2,6,4,5,3,1,8,7] => [5,4,3,6,2,1,8,7] => 1011101
[4,5,3,6,2,1,8,7] => [2,6,5,4,3,1,8,7] => [4,5,3,6,2,1,8,7] => 1001101
[4,3,5,6,2,1,8,7] => [2,6,4,3,5,1,8,7] => [4,3,5,6,2,1,8,7] => 1010101
[2,4,6,5,3,1,8,7] => [3,2,5,4,6,1,8,7] => [2,4,6,5,3,1,8,7] => 0101101
[3,2,6,5,4,1,8,7] => [4,3,2,5,6,1,8,7] => [3,2,6,5,4,1,8,7] => 0111101
[3,2,5,6,4,1,8,7] => [4,3,2,6,5,1,8,7] => [3,2,5,6,4,1,8,7] => 0110101
[2,3,6,5,4,1,8,7] => [4,2,3,5,6,1,8,7] => [2,3,6,5,4,1,8,7] => 0011101
[2,3,5,6,4,1,8,7] => [4,2,3,6,5,1,8,7] => [2,3,5,6,4,1,8,7] => 0010101
[4,3,2,6,5,1,8,7] => [5,3,4,2,6,1,8,7] => [4,3,2,6,5,1,8,7] => 0111101
[3,4,2,6,5,1,8,7] => [5,4,3,2,6,1,8,7] => [3,4,2,6,5,1,8,7] => 0011101
[2,4,3,6,5,1,8,7] => [5,2,4,3,6,1,8,7] => [2,4,3,6,5,1,8,7] => 0011101
[5,4,3,2,6,1,8,7] => [6,3,4,5,2,1,8,7] => [5,4,3,2,6,1,8,7] => 0111101
[4,5,3,2,6,1,8,7] => [6,3,5,4,2,1,8,7] => [4,5,3,2,6,1,8,7] => 0101101
[3,5,4,2,6,1,8,7] => [6,4,3,5,2,1,8,7] => [3,5,4,2,6,1,8,7] => 0011101
[4,3,5,2,6,1,8,7] => [6,5,4,3,2,1,8,7] => [4,3,5,2,6,1,8,7] => 0011101
[3,4,5,2,6,1,8,7] => [6,5,3,4,2,1,8,7] => [3,4,5,2,6,1,8,7] => 0001101
[2,5,4,3,6,1,8,7] => [6,2,4,5,3,1,8,7] => [2,5,4,3,6,1,8,7] => 0011101
[2,4,5,3,6,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,3,6,1,8,7] => 0001101
[3,2,5,4,6,1,8,7] => [6,3,2,5,4,1,8,7] => [3,2,5,4,6,1,8,7] => 0101101
[4,3,2,5,6,1,8,7] => [6,3,4,2,5,1,8,7] => [4,3,2,5,6,1,8,7] => 0110101
[3,4,2,5,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,2,5,6,1,8,7] => 0010101
[2,4,3,5,6,1,8,7] => [6,2,4,3,5,1,8,7] => [2,4,3,5,6,1,8,7] => 0010101
[2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => 0000101
[1,6,5,4,3,2,8,7] => [1,3,4,5,6,2,8,7] => [1,6,5,4,3,2,8,7] => 0111101
[1,5,4,6,3,2,8,7] => [1,3,6,5,4,2,8,7] => [1,5,4,6,3,2,8,7] => 0101101
[2,1,6,5,4,3,8,7] => [2,1,4,5,6,3,8,7] => [2,1,6,5,4,3,8,7] => 1011101
[2,1,5,6,4,3,8,7] => [2,1,4,6,5,3,8,7] => [2,1,5,6,4,3,8,7] => 1010101
[2,1,4,6,5,3,8,7] => [2,1,5,4,6,3,8,7] => [2,1,4,6,5,3,8,7] => 1001101
[2,1,5,4,6,3,8,7] => [2,1,6,5,4,3,8,7] => [2,1,5,4,6,3,8,7] => 1001101
[2,1,4,5,6,3,8,7] => [2,1,6,4,5,3,8,7] => [2,1,4,5,6,3,8,7] => 1000101
[1,3,2,6,5,4,8,7] => [1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => 0101101
[1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => [1,3,2,5,6,4,8,7] => 0100101
[2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => [2,1,3,6,5,4,8,7] => 1001101
[2,1,3,5,6,4,8,7] => [2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => 1000101
[1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => 0001101
[1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => 0000101
[4,3,2,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => 1110101
[3,4,2,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => [3,4,2,1,6,5,8,7] => 1010101
[2,4,3,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => 0110101
[3,2,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => 0110101
[2,3,4,1,6,5,8,7] => [4,2,3,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => 0010101
[2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => 1010101
[1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => 0010101
[1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => 0100101
[2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => 1000101
[1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => 0000101
[5,4,3,2,1,6,8,7] => [2,3,4,5,1,6,8,7] => [5,4,3,2,1,6,8,7] => 1111001
[4,5,3,2,1,6,8,7] => [2,3,5,4,1,6,8,7] => [4,5,3,2,1,6,8,7] => 1101001
[3,5,4,2,1,6,8,7] => [2,4,3,5,1,6,8,7] => [3,5,4,2,1,6,8,7] => 1011001
[4,3,5,2,1,6,8,7] => [2,5,4,3,1,6,8,7] => [4,3,5,2,1,6,8,7] => 1011001
[2,4,5,3,1,6,8,7] => [3,2,5,4,1,6,8,7] => [2,4,5,3,1,6,8,7] => 0101001
[2,3,5,4,1,6,8,7] => [4,2,3,5,1,6,8,7] => [2,3,5,4,1,6,8,7] => 0011001
[2,4,3,5,1,6,8,7] => [5,2,4,3,1,6,8,7] => [2,4,3,5,1,6,8,7] => 0011001
[2,3,4,5,1,6,8,7] => [5,2,3,4,1,6,8,7] => [2,3,4,5,1,6,8,7] => 0001001
[1,4,5,3,2,6,8,7] => [1,3,5,4,2,6,8,7] => [1,4,5,3,2,6,8,7] => 0101001
[2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7] => 1011001
[2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => 1001001
[2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => 1001001
[1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => 0001001
[4,3,2,1,5,6,8,7] => [2,3,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => 1110001
[3,2,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => [3,2,4,1,5,6,8,7] => 0110001
[1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => 0110001
[1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => 0010001
[2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => 1010001
[1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => 0010001
[3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => 1100001
[2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => 0100001
[1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => 0100001
[2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => 1000001
[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => 0000001
[5,7,6,4,3,2,1,8] => [2,3,4,6,5,7,1,8] => [5,7,6,4,3,2,1,8] => 1110110
[4,7,6,5,3,2,1,8] => [2,3,5,4,6,7,1,8] => [4,7,6,5,3,2,1,8] => 1101110
[3,5,7,6,4,2,1,8] => [2,4,3,6,5,7,1,8] => [3,5,7,6,4,2,1,8] => 1010110
[4,3,7,6,5,2,1,8] => [2,5,4,3,6,7,1,8] => [4,3,7,6,5,2,1,8] => 1011110
[3,4,7,6,5,2,1,8] => [2,5,3,4,6,7,1,8] => [3,4,7,6,5,2,1,8] => 1001110
[3,5,6,4,7,2,1,8] => [2,7,3,6,5,4,1,8] => [3,5,6,4,7,2,1,8] => 1000110
[2,7,6,5,4,3,1,8] => [3,2,4,5,6,7,1,8] => [2,7,6,5,4,3,1,8] => 0111110
[2,4,6,7,5,3,1,8] => [3,2,5,4,7,6,1,8] => [2,4,6,7,5,3,1,8] => 0101010
[2,5,4,7,6,3,1,8] => [3,2,6,5,4,7,1,8] => [2,5,4,7,6,3,1,8] => 0101110
[2,5,6,4,7,3,1,8] => [3,2,7,6,5,4,1,8] => [2,5,6,4,7,3,1,8] => 0100110
[2,5,4,6,7,3,1,8] => [3,2,7,5,4,6,1,8] => [2,5,4,6,7,3,1,8] => 0101010
[2,4,5,6,7,3,1,8] => [3,2,7,4,5,6,1,8] => [2,4,5,6,7,3,1,8] => 0100010
[3,2,7,6,5,4,1,8] => [4,3,2,5,6,7,1,8] => [3,2,7,6,5,4,1,8] => 0111110
[3,2,6,7,5,4,1,8] => [4,3,2,5,7,6,1,8] => [3,2,6,7,5,4,1,8] => 0111010
[3,2,5,7,6,4,1,8] => [4,3,2,6,5,7,1,8] => [3,2,5,7,6,4,1,8] => 0110110
[2,3,7,6,5,4,1,8] => [4,2,3,5,6,7,1,8] => [2,3,7,6,5,4,1,8] => 0011110
[2,3,6,7,5,4,1,8] => [4,2,3,5,7,6,1,8] => [2,3,6,7,5,4,1,8] => 0011010
[2,3,5,6,7,4,1,8] => [4,2,3,7,5,6,1,8] => [2,3,5,6,7,4,1,8] => 0010010
[4,3,2,6,7,5,1,8] => [5,3,4,2,7,6,1,8] => [4,3,2,6,7,5,1,8] => 0111010
[3,4,2,7,6,5,1,8] => [5,4,3,2,6,7,1,8] => [3,4,2,7,6,5,1,8] => 0011110
[3,4,2,6,7,5,1,8] => [5,4,3,2,7,6,1,8] => [3,4,2,6,7,5,1,8] => 0011010
[3,2,4,6,7,5,1,8] => [5,3,2,4,7,6,1,8] => [3,2,4,6,7,5,1,8] => 0101010
[2,3,4,7,6,5,1,8] => [5,2,3,4,6,7,1,8] => [2,3,4,7,6,5,1,8] => 0001110
[2,3,4,6,7,5,1,8] => [5,2,3,4,7,6,1,8] => [2,3,4,6,7,5,1,8] => 0001010
[5,4,3,2,7,6,1,8] => [6,3,4,5,2,7,1,8] => [5,4,3,2,7,6,1,8] => 0111110
[4,5,3,2,7,6,1,8] => [6,3,5,4,2,7,1,8] => [4,5,3,2,7,6,1,8] => 0101110
[4,3,5,2,7,6,1,8] => [6,5,4,3,2,7,1,8] => [4,3,5,2,7,6,1,8] => 0011110
[3,2,5,4,7,6,1,8] => [6,3,2,5,4,7,1,8] => [3,2,5,4,7,6,1,8] => 0101110
[2,3,4,5,7,6,1,8] => [6,2,3,4,5,7,1,8] => [2,3,4,5,7,6,1,8] => 0000110
[3,5,6,4,2,7,1,8] => [7,4,3,6,5,2,1,8] => [3,5,6,4,2,7,1,8] => 0010110
[3,5,4,6,2,7,1,8] => [7,6,3,5,4,2,1,8] => [3,5,4,6,2,7,1,8] => 0001110
[2,5,4,6,3,7,1,8] => [7,2,6,5,4,3,1,8] => [2,5,4,6,3,7,1,8] => 0001110
[2,3,5,6,4,7,1,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,4,7,1,8] => 0000110
[4,3,2,6,5,7,1,8] => [7,3,4,2,6,5,1,8] => [4,3,2,6,5,7,1,8] => 0110110
[3,4,2,6,5,7,1,8] => [7,4,3,2,6,5,1,8] => [3,4,2,6,5,7,1,8] => 0010110
[2,4,3,6,5,7,1,8] => [7,2,4,3,6,5,1,8] => [2,4,3,6,5,7,1,8] => 0010110
[2,3,4,6,5,7,1,8] => [7,2,3,4,6,5,1,8] => [2,3,4,6,5,7,1,8] => 0000110
[3,5,4,2,6,7,1,8] => [7,4,3,5,2,6,1,8] => [3,5,4,2,6,7,1,8] => 0011010
[2,5,4,3,6,7,1,8] => [7,2,4,5,3,6,1,8] => [2,5,4,3,6,7,1,8] => 0011010
[2,4,5,3,6,7,1,8] => [7,2,5,4,3,6,1,8] => [2,4,5,3,6,7,1,8] => 0001010
[2,3,5,4,6,7,1,8] => [7,2,3,5,4,6,1,8] => [2,3,5,4,6,7,1,8] => 0001010
[1,7,6,5,4,3,2,8] => [1,3,4,5,6,7,2,8] => [1,7,6,5,4,3,2,8] => 0111110
[1,6,7,5,4,3,2,8] => [1,3,4,5,7,6,2,8] => [1,6,7,5,4,3,2,8] => 0111010
[1,4,7,6,5,3,2,8] => [1,3,5,4,6,7,2,8] => [1,4,7,6,5,3,2,8] => 0101110
[1,4,6,7,5,3,2,8] => [1,3,5,4,7,6,2,8] => [1,4,6,7,5,3,2,8] => 0101010
[1,5,4,7,6,3,2,8] => [1,3,6,5,4,7,2,8] => [1,5,4,7,6,3,2,8] => 0101110
[1,5,6,4,7,3,2,8] => [1,3,7,6,5,4,2,8] => [1,5,6,4,7,3,2,8] => 0100110
[1,4,5,6,7,3,2,8] => [1,3,7,4,5,6,2,8] => [1,4,5,6,7,3,2,8] => 0100010
[1,3,7,6,5,4,2,8] => [1,4,3,5,6,7,2,8] => [1,3,7,6,5,4,2,8] => 0011110
[1,3,6,7,5,4,2,8] => [1,4,3,5,7,6,2,8] => [1,3,6,7,5,4,2,8] => 0011010
[1,3,5,7,6,4,2,8] => [1,4,3,6,5,7,2,8] => [1,3,5,7,6,4,2,8] => 0010110
[1,3,4,6,7,5,2,8] => [1,5,3,4,7,6,2,8] => [1,3,4,6,7,5,2,8] => 0001010
[1,5,4,6,3,7,2,8] => [1,7,6,5,4,3,2,8] => [1,5,4,6,3,7,2,8] => 0001110
[1,4,5,6,3,7,2,8] => [1,7,6,4,5,3,2,8] => [1,4,5,6,3,7,2,8] => 0000110
[1,3,5,6,4,7,2,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,4,7,2,8] => 0000110
[1,4,5,3,6,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,3,6,7,2,8] => 0001010
[1,3,5,4,6,7,2,8] => [1,7,3,5,4,6,2,8] => [1,3,5,4,6,7,2,8] => 0001010
[1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => 0000010
[2,1,7,6,5,4,3,8] => [2,1,4,5,6,7,3,8] => [2,1,7,6,5,4,3,8] => 1011110
[1,2,7,6,5,4,3,8] => [1,2,4,5,6,7,3,8] => [1,2,7,6,5,4,3,8] => 0011110
[1,2,5,7,6,4,3,8] => [1,2,4,6,5,7,3,8] => [1,2,5,7,6,4,3,8] => 0010110
[1,2,5,6,4,7,3,8] => [1,2,7,6,5,4,3,8] => [1,2,5,6,4,7,3,8] => 0000110
[1,2,5,4,6,7,3,8] => [1,2,7,5,4,6,3,8] => [1,2,5,4,6,7,3,8] => 0001010
[3,2,1,7,6,5,4,8] => [2,3,1,5,6,7,4,8] => [3,2,1,7,6,5,4,8] => 1101110
[3,2,1,5,7,6,4,8] => [2,3,1,6,5,7,4,8] => [3,2,1,5,7,6,4,8] => 1100110
[3,2,1,5,6,7,4,8] => [2,3,1,7,5,6,4,8] => [3,2,1,5,6,7,4,8] => 1100010
[2,3,1,6,7,5,4,8] => [3,2,1,5,7,6,4,8] => [2,3,1,6,7,5,4,8] => 0101010
[2,3,1,6,5,7,4,8] => [3,2,1,7,6,5,4,8] => [2,3,1,6,5,7,4,8] => 0100110
[2,3,1,5,6,7,4,8] => [3,2,1,7,5,6,4,8] => [2,3,1,5,6,7,4,8] => 0100010
[1,3,2,7,6,5,4,8] => [1,3,2,5,6,7,4,8] => [1,3,2,7,6,5,4,8] => 0101110
[1,3,2,6,7,5,4,8] => [1,3,2,5,7,6,4,8] => [1,3,2,6,7,5,4,8] => 0101010
[1,3,2,5,7,6,4,8] => [1,3,2,6,5,7,4,8] => [1,3,2,5,7,6,4,8] => 0100110
[1,3,2,6,5,7,4,8] => [1,3,2,7,6,5,4,8] => [1,3,2,6,5,7,4,8] => 0100110
[1,2,3,7,6,5,4,8] => [1,2,3,5,6,7,4,8] => [1,2,3,7,6,5,4,8] => 0001110
[1,2,3,6,7,5,4,8] => [1,2,3,5,7,6,4,8] => [1,2,3,6,7,5,4,8] => 0001010
[1,2,3,5,7,6,4,8] => [1,2,3,6,5,7,4,8] => [1,2,3,5,7,6,4,8] => 0000110
[1,2,3,6,5,7,4,8] => [1,2,3,7,6,5,4,8] => [1,2,3,6,5,7,4,8] => 0000110
[1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => [1,2,3,5,6,7,4,8] => 0000010
[4,3,2,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => 1110110
[4,3,2,1,6,7,5,8] => [2,3,4,1,7,6,5,8] => [4,3,2,1,6,7,5,8] => 1110010
[3,2,4,1,7,6,5,8] => [4,3,2,1,6,7,5,8] => [3,2,4,1,7,6,5,8] => 0110110
[3,2,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => [3,2,4,1,6,7,5,8] => 0110010
[2,3,4,1,6,7,5,8] => [4,2,3,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => 0010010
[1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => 0110110
[1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => 0010010
[3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => 1100110
[2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => 0100010
[1,3,2,4,7,6,5,8] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => 0100110
[1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => 0000110
[1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => 0000010
[5,4,3,2,1,7,6,8] => [2,3,4,5,1,7,6,8] => [5,4,3,2,1,7,6,8] => 1111010
[4,5,3,2,1,7,6,8] => [2,3,5,4,1,7,6,8] => [4,5,3,2,1,7,6,8] => 1101010
[3,5,4,2,1,7,6,8] => [2,4,3,5,1,7,6,8] => [3,5,4,2,1,7,6,8] => 1011010
[2,4,5,3,1,7,6,8] => [3,2,5,4,1,7,6,8] => [2,4,5,3,1,7,6,8] => 0101010
[3,4,2,5,1,7,6,8] => [5,4,3,2,1,7,6,8] => [3,4,2,5,1,7,6,8] => 0011010
[2,4,3,5,1,7,6,8] => [5,2,4,3,1,7,6,8] => [2,4,3,5,1,7,6,8] => 0011010
[1,5,4,3,2,7,6,8] => [1,3,4,5,2,7,6,8] => [1,5,4,3,2,7,6,8] => 0111010
[1,4,5,3,2,7,6,8] => [1,3,5,4,2,7,6,8] => [1,4,5,3,2,7,6,8] => 0101010
[1,3,5,4,2,7,6,8] => [1,4,3,5,2,7,6,8] => [1,3,5,4,2,7,6,8] => 0011010
[1,4,3,5,2,7,6,8] => [1,5,4,3,2,7,6,8] => [1,4,3,5,2,7,6,8] => 0011010
[3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => 1101010
[2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => 0101010
[1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => 0101010
[1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => 0001010
[4,3,2,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => 1110010
[3,2,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [3,2,4,1,5,7,6,8] => 0110010
[2,3,4,1,5,7,6,8] => [4,2,3,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => 0010010
[1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => 0110010
[1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => 0010010
[1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => 0010010
[3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => [3,2,1,4,5,7,6,8] => 1100010
[2,3,1,4,5,7,6,8] => [3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => 0100010
[1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => 0100010
[2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => 1000010
[1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => 0000010
[2,4,5,6,3,1,7,8] => [3,2,6,4,5,1,7,8] => [2,4,5,6,3,1,7,8] => 0100100
[2,3,6,5,4,1,7,8] => [4,2,3,5,6,1,7,8] => [2,3,6,5,4,1,7,8] => 0011100
[2,3,5,6,4,1,7,8] => [4,2,3,6,5,1,7,8] => [2,3,5,6,4,1,7,8] => 0010100
[2,4,3,6,5,1,7,8] => [5,2,4,3,6,1,7,8] => [2,4,3,6,5,1,7,8] => 0011100
[2,3,4,6,5,1,7,8] => [5,2,3,4,6,1,7,8] => [2,3,4,6,5,1,7,8] => 0001100
[2,3,5,4,6,1,7,8] => [6,2,3,5,4,1,7,8] => [2,3,5,4,6,1,7,8] => 0001100
[1,6,5,4,3,2,7,8] => [1,3,4,5,6,2,7,8] => [1,6,5,4,3,2,7,8] => 0111100
[1,4,6,5,3,2,7,8] => [1,3,5,4,6,2,7,8] => [1,4,6,5,3,2,7,8] => 0101100
[1,3,5,6,4,2,7,8] => [1,4,3,6,5,2,7,8] => [1,3,5,6,4,2,7,8] => 0010100
[1,4,3,6,5,2,7,8] => [1,5,4,3,6,2,7,8] => [1,4,3,6,5,2,7,8] => 0011100
[1,5,4,3,6,2,7,8] => [1,6,4,5,3,2,7,8] => [1,5,4,3,6,2,7,8] => 0011100
[1,4,5,3,6,2,7,8] => [1,6,5,4,3,2,7,8] => [1,4,5,3,6,2,7,8] => 0001100
[1,3,5,4,6,2,7,8] => [1,6,3,5,4,2,7,8] => [1,3,5,4,6,2,7,8] => 0001100
[1,4,3,5,6,2,7,8] => [1,6,4,3,5,2,7,8] => [1,4,3,5,6,2,7,8] => 0010100
[1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8] => [1,3,4,5,6,2,7,8] => 0000100
[2,1,5,6,4,3,7,8] => [2,1,4,6,5,3,7,8] => [2,1,5,6,4,3,7,8] => 1010100
[1,2,6,5,4,3,7,8] => [1,2,4,5,6,3,7,8] => [1,2,6,5,4,3,7,8] => 0011100
[1,2,5,6,4,3,7,8] => [1,2,4,6,5,3,7,8] => [1,2,5,6,4,3,7,8] => 0010100
[1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => [1,2,4,5,6,3,7,8] => 0000100
[3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => 1101100
[3,2,1,5,6,4,7,8] => [2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8] => 1100100
[2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8] => [2,3,1,6,5,4,7,8] => 0101100
[2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => 0100100
[1,3,2,6,5,4,7,8] => [1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => 0101100
[1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => [1,3,2,5,6,4,7,8] => 0100100
[1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => 0001100
[1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => 0000100
[4,3,2,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => 1110100
[2,4,3,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => [2,4,3,1,6,5,7,8] => 0110100
[3,2,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => 0110100
[2,3,4,1,6,5,7,8] => [4,2,3,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => 0010100
[2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => 1010100
[1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => 0010100
[1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => 0100100
[2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => 1000100
[1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => 0000100
[3,5,4,2,1,6,7,8] => [2,4,3,5,1,6,7,8] => [3,5,4,2,1,6,7,8] => 1011000
[2,5,4,3,1,6,7,8] => [3,2,4,5,1,6,7,8] => [2,5,4,3,1,6,7,8] => 0111000
[2,4,5,3,1,6,7,8] => [3,2,5,4,1,6,7,8] => [2,4,5,3,1,6,7,8] => 0101000
[3,2,5,4,1,6,7,8] => [4,3,2,5,1,6,7,8] => [3,2,5,4,1,6,7,8] => 0111000
[2,3,5,4,1,6,7,8] => [4,2,3,5,1,6,7,8] => [2,3,5,4,1,6,7,8] => 0011000
[2,4,3,5,1,6,7,8] => [5,2,4,3,1,6,7,8] => [2,4,3,5,1,6,7,8] => 0011000
[1,5,4,3,2,6,7,8] => [1,3,4,5,2,6,7,8] => [1,5,4,3,2,6,7,8] => 0111000
[1,4,5,3,2,6,7,8] => [1,3,5,4,2,6,7,8] => [1,4,5,3,2,6,7,8] => 0101000
[1,3,5,4,2,6,7,8] => [1,4,3,5,2,6,7,8] => [1,3,5,4,2,6,7,8] => 0011000
[1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => [1,3,4,5,2,6,7,8] => 0001000
[2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => 1011000
[2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => 1001000
[1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => 0011000
[3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => 1101000
[2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => 0101000
[1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => 0101000
[2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => 1001000
[1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => 0001000
[2,4,3,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => 0110000
[1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => 0110000
[1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => 0010000
[2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => 1010000
[1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => 0010000
[1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 0100000
[1,2,3,4,8,6,7,5] => [1,2,3,4,7,8,6,5] => [1,2,3,4,8,6,7,5] => 0000011
[1,2,3,5,8,6,7,4] => [1,2,3,7,5,8,6,4] => [1,2,3,5,8,6,7,4] => 0000011
[1,2,3,7,5,6,4,8] => [1,2,3,6,7,5,4,8] => [1,2,3,7,5,6,4,8] => 0000110
[1,2,3,7,5,6,8,4] => [1,2,3,8,7,5,6,4] => [1,2,3,7,5,6,8,4] => 0000011
[1,2,3,8,5,6,7,4] => [1,2,3,7,8,5,6,4] => [1,2,3,8,5,6,7,4] => 0000011
[1,2,3,8,5,7,6,4] => [1,2,3,6,7,8,4,5] => [1,2,3,8,4,7,6,5] => 0000111
[1,2,3,8,6,5,7,4] => [1,2,3,7,6,8,5,4] => [1,2,3,8,6,5,7,4] => 0000111
[1,2,3,8,6,7,5,4] => [1,2,3,5,7,8,6,4] => [1,2,3,8,6,7,5,4] => 0001011
[1,2,4,3,8,6,7,5] => [1,2,4,3,7,8,6,5] => [1,2,4,3,8,6,7,5] => 0010011
[1,2,4,8,5,6,7,3] => [1,2,7,4,8,5,6,3] => [1,2,4,8,5,6,7,3] => 0000011
[1,2,4,8,5,7,6,3] => [1,2,6,4,7,8,3,5] => [1,2,4,8,3,7,6,5] => 0000111
[1,2,4,8,6,5,7,3] => [1,2,7,4,6,8,5,3] => [1,2,4,8,6,5,7,3] => 0000111
[1,2,5,4,8,6,7,3] => [1,2,7,5,4,8,6,3] => [1,2,5,4,8,6,7,3] => 0001011
[1,2,6,4,5,3,7,8] => [1,2,5,6,4,3,7,8] => [1,2,6,4,5,3,7,8] => 0001100
[1,2,6,4,5,7,8,3] => [1,2,8,6,4,5,7,3] => [1,2,6,4,5,7,8,3] => 0000101
[1,2,6,4,5,8,7,3] => [1,2,7,6,4,5,8,3] => [1,2,6,4,5,8,7,3] => 0000111
[1,2,7,4,5,6,8,3] => [1,2,8,7,4,5,6,3] => [1,2,7,4,5,6,8,3] => 0000011
[1,2,8,4,5,6,7,3] => [1,2,7,8,4,5,6,3] => [1,2,8,4,5,6,7,3] => 0000011
[1,2,8,4,5,7,6,3] => [1,2,6,7,3,8,5,4] => [1,2,8,3,5,7,6,4] => 0000111
[1,2,8,4,7,6,5,3] => [1,2,5,6,7,8,4,3] => [1,2,8,4,7,6,5,3] => 0001111
[1,2,7,5,4,6,8,3] => [1,2,8,5,7,4,6,3] => [1,2,7,5,4,6,8,3] => 0001011
[1,2,8,5,6,4,7,3] => [1,2,7,6,8,5,4,3] => [1,2,8,5,6,4,7,3] => 0000111
[1,2,8,5,6,7,4,3] => [1,2,4,7,8,5,6,3] => [1,2,8,5,6,7,4,3] => 0010011
[1,2,8,5,7,6,4,3] => [1,2,4,6,7,8,3,5] => [1,2,8,4,3,7,6,5] => 0010111
[1,2,8,6,5,4,7,3] => [1,2,7,5,6,8,4,3] => [1,2,8,6,5,4,7,3] => 0001111
[1,2,8,6,5,7,4,3] => [1,2,4,7,6,8,5,3] => [1,2,8,6,5,7,4,3] => 0010111
[1,3,2,8,6,5,7,4] => [1,3,2,7,6,8,5,4] => [1,3,2,8,6,5,7,4] => 0100111
[1,3,2,8,6,7,5,4] => [1,3,2,5,7,8,6,4] => [1,3,2,8,6,7,5,4] => 0101011
[1,3,4,8,6,5,7,2] => [1,7,3,4,6,8,5,2] => [1,3,4,8,6,5,7,2] => 0000111
[1,3,4,8,6,7,5,2] => [1,5,3,4,7,8,6,2] => [1,3,4,8,6,7,5,2] => 0001011
[1,3,6,4,5,7,8,2] => [1,8,3,6,4,5,7,2] => [1,3,6,4,5,7,8,2] => 0000101
[1,3,6,4,5,8,7,2] => [1,7,3,6,4,5,8,2] => [1,3,6,4,5,8,7,2] => 0000111
[1,3,7,4,5,6,2,8] => [1,6,3,7,4,5,2,8] => [1,3,7,4,5,6,2,8] => 0000110
[1,3,7,4,5,6,8,2] => [1,8,3,7,4,5,6,2] => [1,3,7,4,5,6,8,2] => 0000011
[1,3,8,4,5,6,7,2] => [1,7,3,8,4,5,6,2] => [1,3,8,4,5,6,7,2] => 0000011
[1,3,8,4,6,5,7,2] => [1,7,3,8,6,4,5,2] => [1,3,6,4,8,5,7,2] => 0000111
[1,3,8,5,4,6,7,2] => [1,7,3,5,8,4,6,2] => [1,3,8,5,4,6,7,2] => 0001011
[1,3,8,5,4,7,6,2] => [1,6,3,5,7,8,2,4] => [1,3,8,5,2,7,6,4] => 0001111
[1,3,8,5,6,7,4,2] => [1,4,3,7,8,5,6,2] => [1,3,8,5,6,7,4,2] => 0010011
[1,3,8,6,5,7,4,2] => [1,4,3,7,6,8,5,2] => [1,3,8,6,5,7,4,2] => 0010111
[1,3,8,7,5,6,4,2] => [1,4,3,6,7,5,8,2] => [1,3,8,7,5,6,4,2] => 0010111
[1,4,3,2,8,6,7,5] => [1,3,4,2,7,8,6,5] => [1,4,3,2,8,6,7,5] => 0110011
[1,4,3,8,6,5,7,2] => [1,7,4,3,6,8,5,2] => [1,4,3,8,6,5,7,2] => 0010111
[1,5,3,4,2,6,7,8] => [1,4,5,3,2,6,7,8] => [1,5,3,4,2,6,7,8] => 0011000
[1,5,3,4,2,7,8,6] => [1,4,5,3,2,8,7,6] => [1,5,3,4,2,7,8,6] => 0011001
[1,5,3,4,2,8,7,6] => [1,4,5,3,2,7,8,6] => [1,5,3,4,2,8,7,6] => 0011011
[1,5,3,4,6,7,8,2] => [1,8,5,3,4,6,7,2] => [1,5,3,4,6,7,8,2] => 0001001
[1,5,3,4,8,6,7,2] => [1,7,5,3,4,8,6,2] => [1,5,3,4,8,6,7,2] => 0001011
[1,6,3,4,5,2,7,8] => [1,5,6,3,4,2,7,8] => [1,6,3,4,5,2,7,8] => 0001100
[1,6,3,4,5,8,7,2] => [1,7,6,3,4,5,8,2] => [1,6,3,4,5,8,7,2] => 0000111
[1,7,3,4,5,6,8,2] => [1,8,7,3,4,5,6,2] => [1,7,3,4,5,6,8,2] => 0000011
[1,8,3,4,5,6,7,2] => [1,7,8,3,4,5,6,2] => [1,8,3,4,5,6,7,2] => 0000011
[1,8,3,4,5,7,6,2] => [1,6,7,2,4,8,5,3] => [1,8,2,4,5,7,6,3] => 0000111
[1,8,3,4,6,7,5,2] => [1,5,7,2,8,4,6,3] => [1,8,2,4,6,7,5,3] => 0001011
[1,8,3,4,7,6,5,2] => [1,5,6,3,7,8,4,2] => [1,8,3,4,7,6,5,2] => 0001111
[1,7,3,5,6,4,8,2] => [1,8,7,6,3,5,4,2] => [1,6,3,5,7,4,8,2] => 0000111
[1,8,3,5,7,6,4,2] => [1,4,6,7,3,8,5,2] => [1,8,3,5,7,6,4,2] => 0010111
[1,7,3,6,5,4,2,8] => [1,4,5,6,7,3,2,8] => [1,7,3,6,5,4,2,8] => 0011110
[1,8,3,6,5,4,7,2] => [1,7,8,5,6,3,4,2] => [1,6,5,3,8,4,7,2] => 0001111
[1,8,3,7,6,5,4,2] => [1,4,5,6,7,8,2,3] => [1,8,2,7,6,5,4,3] => 0011111
[1,6,4,3,5,2,7,8] => [1,5,4,6,3,2,7,8] => [1,6,4,3,5,2,7,8] => 0011100
[1,8,4,3,5,6,7,2] => [1,7,4,8,3,5,6,2] => [1,8,4,3,5,6,7,2] => 0010011
[1,7,4,3,6,5,2,8] => [1,5,4,6,7,2,3,8] => [1,7,4,2,6,5,3,8] => 0011110
[1,7,4,3,6,5,8,2] => [1,8,4,7,6,3,5,2] => [1,6,4,3,7,5,8,2] => 0010111
[1,8,4,3,6,5,7,2] => [1,7,4,8,6,3,5,2] => [1,6,4,3,8,5,7,2] => 0010111
[1,6,4,5,3,2,7,8] => [1,3,5,6,4,2,7,8] => [1,6,4,5,3,2,7,8] => 0101100
[1,7,4,5,3,6,8,2] => [1,8,5,7,4,3,6,2] => [1,7,4,5,3,6,8,2] => 0001011
[1,8,4,5,3,6,7,2] => [1,7,5,8,4,3,6,2] => [1,8,4,5,3,6,7,2] => 0001011
[1,8,4,5,3,7,6,2] => [1,6,5,7,2,8,3,4] => [1,8,2,5,3,7,6,4] => 0001111
[1,7,4,5,6,3,8,2] => [1,8,6,7,4,5,3,2] => [1,7,4,5,6,3,8,2] => 0000111
[1,8,4,5,6,3,7,2] => [1,7,6,8,4,5,3,2] => [1,8,4,5,6,3,7,2] => 0000111
[1,8,4,5,6,7,3,2] => [1,3,7,8,4,5,6,2] => [1,8,4,5,6,7,3,2] => 0100011
[1,7,4,6,5,3,8,2] => [1,8,5,6,7,3,4,2] => [1,7,3,6,5,4,8,2] => 0001111
[1,8,4,6,5,3,7,2] => [1,7,5,6,8,3,4,2] => [1,8,3,6,5,4,7,2] => 0001111
[1,8,4,7,5,6,3,2] => [1,3,6,8,7,5,4,2] => [1,7,5,8,4,6,3,2] => 0100111
[1,8,4,7,6,5,3,2] => [1,3,5,6,7,8,4,2] => [1,8,4,7,6,5,3,2] => 0101111
[1,7,5,4,3,6,2,8] => [1,6,4,5,7,3,2,8] => [1,7,5,4,3,6,2,8] => 0011110
[1,8,5,4,3,6,7,2] => [1,7,4,5,8,3,6,2] => [1,8,5,4,3,6,7,2] => 0011011
[1,8,5,4,3,7,6,2] => [1,6,4,5,7,8,2,3] => [1,8,5,4,2,7,6,3] => 0011111
[1,8,5,4,6,3,7,2] => [1,7,6,5,8,4,3,2] => [1,8,5,4,6,3,7,2] => 0001111
[1,8,5,4,6,7,3,2] => [1,3,7,5,8,4,6,2] => [1,8,5,4,6,7,3,2] => 0101011
[1,8,5,4,7,6,3,2] => [1,3,6,5,7,8,2,4] => [1,8,5,3,2,7,6,4] => 0101111
[1,7,6,4,5,3,2,8] => [1,3,5,6,4,7,2,8] => [1,7,6,4,5,3,2,8] => 0101110
[1,8,6,4,5,3,7,2] => [1,7,5,6,4,8,3,2] => [1,8,6,4,5,3,7,2] => 0001111
[1,8,6,4,5,7,3,2] => [1,3,7,6,4,8,5,2] => [1,8,6,4,5,7,3,2] => 0100111
[1,8,7,4,5,6,3,2] => [1,3,6,7,4,5,8,2] => [1,8,7,4,5,6,3,2] => 0100111
[1,8,6,5,4,3,7,2] => [1,7,4,5,6,8,3,2] => [1,8,6,5,4,3,7,2] => 0011111
[1,8,6,5,4,7,3,2] => [1,3,7,5,6,8,4,2] => [1,8,6,5,4,7,3,2] => 0101111
[1,8,7,5,4,6,3,2] => [1,3,6,5,7,4,8,2] => [1,8,7,5,4,6,3,2] => 0101111
[1,8,7,5,6,4,3,2] => [1,3,4,6,7,5,8,2] => [1,8,7,5,6,4,3,2] => 0110111
[2,1,3,4,8,6,7,5] => [2,1,3,4,7,8,6,5] => [2,1,3,4,8,6,7,5] => 1000011
[2,1,3,8,5,6,7,4] => [2,1,3,7,8,5,6,4] => [2,1,3,8,5,6,7,4] => 1000011
[2,1,3,8,5,7,6,4] => [2,1,3,6,7,8,4,5] => [2,1,3,8,4,7,6,5] => 1000111
[2,1,4,3,8,6,7,5] => [2,1,4,3,7,8,6,5] => [2,1,4,3,8,6,7,5] => 1010011
[2,1,4,5,8,6,7,3] => [2,1,7,4,5,8,6,3] => [2,1,4,5,8,6,7,3] => 1000011
[2,1,4,8,5,6,7,3] => [2,1,7,4,8,5,6,3] => [2,1,4,8,5,6,7,3] => 1000011
[2,1,4,8,6,7,5,3] => [2,1,5,4,7,8,6,3] => [2,1,4,8,6,7,5,3] => 1001011
[2,1,6,4,5,3,8,7] => [2,1,5,6,4,3,8,7] => [2,1,6,4,5,3,8,7] => 1001101
[2,1,6,4,5,7,8,3] => [2,1,8,6,4,5,7,3] => [2,1,6,4,5,7,8,3] => 1000101
[2,1,6,4,5,8,7,3] => [2,1,7,6,4,5,8,3] => [2,1,6,4,5,8,7,3] => 1000111
[2,1,8,4,5,6,7,3] => [2,1,7,8,4,5,6,3] => [2,1,8,4,5,6,7,3] => 1000011
[2,1,8,4,5,7,6,3] => [2,1,6,7,3,8,5,4] => [2,1,8,3,5,7,6,4] => 1000111
[2,1,7,4,6,5,8,3] => [2,1,8,7,6,4,5,3] => [2,1,6,4,7,5,8,3] => 1000111
[2,1,8,4,6,5,7,3] => [2,1,7,8,6,4,5,3] => [2,1,6,4,8,5,7,3] => 1000111
[2,1,8,4,6,7,5,3] => [2,1,5,7,8,3,6,4] => [2,1,8,3,6,7,5,4] => 1001011
[2,1,8,4,7,6,5,3] => [2,1,5,6,7,8,4,3] => [2,1,8,4,7,6,5,3] => 1001111
[2,1,7,5,4,6,8,3] => [2,1,8,5,7,4,6,3] => [2,1,7,5,4,6,8,3] => 1001011
[2,1,8,5,4,6,7,3] => [2,1,7,5,8,4,6,3] => [2,1,8,5,4,6,7,3] => 1001011
[2,1,8,5,4,7,6,3] => [2,1,6,5,7,8,3,4] => [2,1,8,5,3,7,6,4] => 1001111
[2,1,7,5,6,4,8,3] => [2,1,8,6,7,5,4,3] => [2,1,7,5,6,4,8,3] => 1000111
[2,1,8,5,6,7,4,3] => [2,1,4,7,8,5,6,3] => [2,1,8,5,6,7,4,3] => 1010011
[2,1,8,5,7,6,4,3] => [2,1,4,6,7,8,3,5] => [2,1,8,4,3,7,6,5] => 1010111
[2,1,8,6,5,4,7,3] => [2,1,7,5,6,8,4,3] => [2,1,8,6,5,4,7,3] => 1001111
[2,1,8,6,5,7,4,3] => [2,1,4,7,6,8,5,3] => [2,1,8,6,5,7,4,3] => 1010111
[2,1,8,7,5,6,4,3] => [2,1,4,6,7,5,8,3] => [2,1,8,7,5,6,4,3] => 1010111
[2,3,1,5,8,6,7,4] => [3,2,1,7,5,8,6,4] => [2,3,1,5,8,6,7,4] => 0100011
[2,3,1,7,5,6,4,8] => [3,2,1,6,7,5,4,8] => [2,3,1,7,5,6,4,8] => 0100110
[2,3,1,8,5,6,7,4] => [3,2,1,7,8,5,6,4] => [2,3,1,8,5,6,7,4] => 0100011
[2,3,1,8,5,7,6,4] => [3,2,1,6,7,8,4,5] => [2,3,1,8,4,7,6,5] => 0100111
[2,3,1,8,6,7,5,4] => [3,2,1,5,7,8,6,4] => [2,3,1,8,6,7,5,4] => 0101011
[2,3,4,1,8,6,7,5] => [4,2,3,1,7,8,6,5] => [2,3,4,1,8,6,7,5] => 0010011
[2,3,4,5,8,6,7,1] => [7,2,3,4,5,8,6,1] => [2,3,4,5,8,6,7,1] => 0000011
[2,3,4,8,5,6,7,1] => [7,2,3,4,8,5,6,1] => [2,3,4,8,5,6,7,1] => 0000011
[2,3,4,8,5,7,6,1] => [6,2,3,4,7,8,1,5] => [2,3,4,8,1,7,6,5] => 0000111
[2,3,4,8,6,5,7,1] => [7,2,3,4,6,8,5,1] => [2,3,4,8,6,5,7,1] => 0000111
[2,3,4,8,6,7,5,1] => [5,2,3,4,7,8,6,1] => [2,3,4,8,6,7,5,1] => 0001011
[2,3,5,4,8,6,7,1] => [7,2,3,5,4,8,6,1] => [2,3,5,4,8,6,7,1] => 0001011
[2,3,6,4,5,1,8,7] => [5,2,3,6,4,1,8,7] => [2,3,6,4,5,1,8,7] => 0001101
[2,3,7,4,5,6,8,1] => [8,2,3,7,4,5,6,1] => [2,3,7,4,5,6,8,1] => 0000011
[2,3,8,4,5,6,7,1] => [7,2,3,8,4,5,6,1] => [2,3,8,4,5,6,7,1] => 0000011
[2,3,7,4,6,5,8,1] => [8,2,3,7,6,4,5,1] => [2,3,6,4,7,5,8,1] => 0000111
[2,3,8,4,6,7,5,1] => [5,2,3,7,8,1,6,4] => [2,3,8,1,6,7,5,4] => 0001011
[2,3,7,5,4,6,1,8] => [6,2,3,5,7,4,1,8] => [2,3,7,5,4,6,1,8] => 0001110
[2,3,7,5,6,4,1,8] => [4,2,3,6,7,5,1,8] => [2,3,7,5,6,4,1,8] => 0010110
[2,3,8,5,6,4,7,1] => [7,2,3,6,8,5,4,1] => [2,3,8,5,6,4,7,1] => 0000111
[2,3,8,5,7,6,4,1] => [4,2,3,6,7,8,1,5] => [2,3,8,4,1,7,6,5] => 0010111
[2,3,8,6,5,4,7,1] => [7,2,3,5,6,8,4,1] => [2,3,8,6,5,4,7,1] => 0001111
[2,4,3,1,8,6,7,5] => [3,2,4,1,7,8,6,5] => [2,4,3,1,8,6,7,5] => 0110011
[2,4,3,7,5,6,8,1] => [8,2,4,3,7,5,6,1] => [2,4,3,7,5,6,8,1] => 0010011
[2,4,3,8,5,6,7,1] => [7,2,4,3,8,5,6,1] => [2,4,3,8,5,6,7,1] => 0010011
[2,5,3,4,1,6,7,8] => [4,2,5,3,1,6,7,8] => [2,5,3,4,1,6,7,8] => 0011000
[2,5,3,4,1,8,7,6] => [4,2,5,3,1,7,8,6] => [2,5,3,4,1,8,7,6] => 0011011
[2,5,3,4,6,7,1,8] => [7,2,5,3,4,6,1,8] => [2,5,3,4,6,7,1,8] => 0001010
[2,5,3,4,7,6,8,1] => [8,2,5,3,4,7,6,1] => [2,5,3,4,7,6,8,1] => 0001011
[2,6,3,4,5,1,7,8] => [5,2,6,3,4,1,7,8] => [2,6,3,4,5,1,7,8] => 0001100
[2,6,3,4,5,7,8,1] => [8,2,6,3,4,5,7,1] => [2,6,3,4,5,7,8,1] => 0000101
[2,6,3,4,5,8,7,1] => [7,2,6,3,4,5,8,1] => [2,6,3,4,5,8,7,1] => 0000111
[2,7,3,4,5,6,1,8] => [6,2,7,3,4,5,1,8] => [2,7,3,4,5,6,1,8] => 0000110
[2,8,3,4,5,6,7,1] => [7,2,8,3,4,5,6,1] => [2,8,3,4,5,6,7,1] => 0000011
[2,8,3,4,5,7,6,1] => [6,2,7,1,4,8,5,3] => [2,8,1,4,5,7,6,3] => 0000111
[2,6,3,5,4,1,8,7] => [4,2,5,6,1,3,8,7] => [2,6,1,5,4,3,8,7] => 0011101
[2,8,3,5,7,6,4,1] => [4,2,6,7,3,8,5,1] => [2,8,3,5,7,6,4,1] => 0010111
[2,8,3,6,5,4,7,1] => [7,2,8,5,6,3,4,1] => [2,6,5,3,8,4,7,1] => 0001111
[2,8,3,6,5,7,4,1] => [4,2,7,8,6,1,5,3] => [2,6,1,8,5,7,4,3] => 0010111
[2,8,3,7,6,5,4,1] => [4,2,5,6,7,8,1,3] => [2,8,1,7,6,5,4,3] => 0011111
[2,7,4,3,5,6,8,1] => [8,2,4,7,3,5,6,1] => [2,7,4,3,5,6,8,1] => 0010011
[2,8,4,3,5,7,6,1] => [6,2,4,7,1,8,5,3] => [2,8,4,1,5,7,6,3] => 0010111
[2,7,4,3,6,5,1,8] => [5,2,4,6,7,1,3,8] => [2,7,4,1,6,5,3,8] => 0011110
[2,8,4,3,6,5,7,1] => [7,2,4,8,6,3,5,1] => [2,6,4,3,8,5,7,1] => 0010111
[2,8,4,3,6,7,5,1] => [5,2,4,7,8,1,6,3] => [2,8,4,1,6,7,5,3] => 0011011
[2,6,4,5,3,1,8,7] => [3,2,5,6,4,1,8,7] => [2,6,4,5,3,1,8,7] => 0101101
[2,7,4,5,6,3,1,8] => [3,2,6,7,4,5,1,8] => [2,7,4,5,6,3,1,8] => 0100110
[2,7,4,5,6,3,8,1] => [8,2,6,7,4,5,3,1] => [2,7,4,5,6,3,8,1] => 0000111
[2,8,4,5,6,3,7,1] => [7,2,6,8,4,5,3,1] => [2,8,4,5,6,3,7,1] => 0000111
[2,8,4,6,5,7,3,1] => [3,2,7,8,6,4,5,1] => [2,6,4,8,5,7,3,1] => 0100111
[2,8,4,7,5,6,3,1] => [3,2,6,8,7,5,4,1] => [2,7,5,8,4,6,3,1] => 0100111
[2,8,4,7,6,5,3,1] => [3,2,5,6,7,8,4,1] => [2,8,4,7,6,5,3,1] => 0101111
[2,7,5,4,3,6,8,1] => [8,2,4,5,7,3,6,1] => [2,7,5,4,3,6,8,1] => 0011011
[2,8,5,4,3,6,7,1] => [7,2,4,5,8,3,6,1] => [2,8,5,4,3,6,7,1] => 0011011
[2,8,5,4,3,7,6,1] => [6,2,4,5,7,8,1,3] => [2,8,5,4,1,7,6,3] => 0011111
[2,7,5,4,6,3,8,1] => [8,2,6,5,7,4,3,1] => [2,7,5,4,6,3,8,1] => 0001111
[2,8,5,4,6,7,3,1] => [3,2,7,5,8,4,6,1] => [2,8,5,4,6,7,3,1] => 0101011
[2,8,5,4,7,6,3,1] => [3,2,6,5,7,8,1,4] => [2,8,5,3,1,7,6,4] => 0101111
[2,8,7,5,4,6,3,1] => [3,2,6,5,7,4,8,1] => [2,8,7,5,4,6,3,1] => 0101111
[3,2,1,4,8,6,7,5] => [2,3,1,4,7,8,6,5] => [3,2,1,4,8,6,7,5] => 1100011
[3,2,1,5,8,6,7,4] => [2,3,1,7,5,8,6,4] => [3,2,1,5,8,6,7,4] => 1100011
[3,2,1,7,5,6,4,8] => [2,3,1,6,7,5,4,8] => [3,2,1,7,5,6,4,8] => 1100110
[3,2,1,7,5,6,8,4] => [2,3,1,8,7,5,6,4] => [3,2,1,7,5,6,8,4] => 1100011
[3,2,1,8,5,6,7,4] => [2,3,1,7,8,5,6,4] => [3,2,1,8,5,6,7,4] => 1100011
[3,2,1,8,5,7,6,4] => [2,3,1,6,7,8,4,5] => [3,2,1,8,4,7,6,5] => 1100111
[3,2,1,8,6,5,7,4] => [2,3,1,7,6,8,5,4] => [3,2,1,8,6,5,7,4] => 1100111
[3,2,1,8,6,7,5,4] => [2,3,1,5,7,8,6,4] => [3,2,1,8,6,7,5,4] => 1101011
[3,2,4,1,8,6,7,5] => [4,3,2,1,7,8,6,5] => [3,2,4,1,8,6,7,5] => 0110011
[3,2,4,8,6,7,5,1] => [5,3,2,4,7,8,6,1] => [3,2,4,8,6,7,5,1] => 0101011
[3,2,5,4,8,6,7,1] => [7,3,2,5,4,8,6,1] => [3,2,5,4,8,6,7,1] => 0101011
[3,2,7,4,5,6,1,8] => [6,3,2,7,4,5,1,8] => [3,2,7,4,5,6,1,8] => 0100110
[3,2,7,4,6,5,8,1] => [8,3,2,7,6,4,5,1] => [3,2,6,4,7,5,8,1] => 0100111
[3,2,8,4,6,5,7,1] => [7,3,2,8,6,4,5,1] => [3,2,6,4,8,5,7,1] => 0100111
[3,2,7,5,4,6,1,8] => [6,3,2,5,7,4,1,8] => [3,2,7,5,4,6,1,8] => 0101110
[3,2,8,5,4,6,7,1] => [7,3,2,5,8,4,6,1] => [3,2,8,5,4,6,7,1] => 0101011
[3,2,7,5,6,4,1,8] => [4,3,2,6,7,5,1,8] => [3,2,7,5,6,4,1,8] => 0110110
[3,2,7,5,6,4,8,1] => [8,3,2,6,7,5,4,1] => [3,2,7,5,6,4,8,1] => 0100111
[3,2,8,5,7,6,4,1] => [4,3,2,6,7,8,1,5] => [3,2,8,4,1,7,6,5] => 0110111
[3,2,8,7,5,6,4,1] => [4,3,2,6,7,5,8,1] => [3,2,8,7,5,6,4,1] => 0110111
[4,2,3,1,5,7,8,6] => [3,4,2,1,5,8,7,6] => [4,2,3,1,5,7,8,6] => 0110001
[4,2,3,1,6,5,8,7] => [3,4,2,1,6,5,8,7] => [4,2,3,1,6,5,8,7] => 0110101
[4,2,3,1,6,7,8,5] => [3,4,2,1,8,6,7,5] => [4,2,3,1,6,7,8,5] => 0110001
[4,2,3,1,6,8,7,5] => [3,4,2,1,7,6,8,5] => [4,2,3,1,6,8,7,5] => 0110011
[4,2,3,1,7,6,8,5] => [3,4,2,1,8,7,6,5] => [4,2,3,1,7,6,8,5] => 0110011
[4,2,3,1,8,6,7,5] => [3,4,2,1,7,8,6,5] => [4,2,3,1,8,6,7,5] => 0110011
[4,2,3,1,8,7,6,5] => [3,4,2,1,6,7,8,5] => [4,2,3,1,8,7,6,5] => 0110111
[4,2,3,5,1,6,8,7] => [5,4,2,3,1,6,8,7] => [4,2,3,5,1,6,8,7] => 0011001
[4,2,3,5,1,7,8,6] => [5,4,2,3,1,8,7,6] => [4,2,3,5,1,7,8,6] => 0011001
[4,2,3,5,1,8,7,6] => [5,4,2,3,1,7,8,6] => [4,2,3,5,1,8,7,6] => 0011011
[4,2,3,5,6,1,8,7] => [6,4,2,3,5,1,8,7] => [4,2,3,5,6,1,8,7] => 0010101
[4,2,3,5,6,8,7,1] => [7,4,2,3,5,6,8,1] => [4,2,3,5,6,8,7,1] => 0010011
[4,2,3,5,7,6,1,8] => [6,4,2,3,5,7,1,8] => [4,2,3,5,7,6,1,8] => 0010110
[4,2,3,6,5,1,8,7] => [5,4,2,3,6,1,8,7] => [4,2,3,6,5,1,8,7] => 0011101
[4,2,3,7,5,6,8,1] => [8,4,2,3,7,5,6,1] => [4,2,3,7,5,6,8,1] => 0010011
[4,2,3,7,6,5,8,1] => [8,4,2,3,6,7,5,1] => [4,2,3,7,6,5,8,1] => 0010111
[4,2,3,8,6,7,5,1] => [5,4,2,3,7,8,6,1] => [4,2,3,8,6,7,5,1] => 0011011
[4,2,3,8,7,6,5,1] => [5,4,2,3,6,7,8,1] => [4,2,3,8,7,6,5,1] => 0011111
[5,2,3,4,1,6,8,7] => [4,5,2,3,1,6,8,7] => [5,2,3,4,1,6,8,7] => 0011001
[5,2,3,4,1,7,8,6] => [4,5,2,3,1,8,7,6] => [5,2,3,4,1,7,8,6] => 0011001
[5,2,3,4,1,8,7,6] => [4,5,2,3,1,7,8,6] => [5,2,3,4,1,8,7,6] => 0011011
[5,2,3,4,8,6,7,1] => [7,5,2,3,4,8,6,1] => [5,2,3,4,8,6,7,1] => 0001011
[5,2,3,4,8,7,6,1] => [6,5,2,3,4,7,8,1] => [5,2,3,4,8,7,6,1] => 0001111
[6,2,3,4,5,8,7,1] => [7,6,2,3,4,5,8,1] => [6,2,3,4,5,8,7,1] => 0000111
[8,2,3,4,5,7,6,1] => [6,7,1,3,4,8,5,2] => [8,1,3,4,5,7,6,2] => 0000111
[8,2,3,4,6,7,5,1] => [5,7,1,3,8,4,6,2] => [8,1,3,4,6,7,5,2] => 0001011
[6,2,3,5,4,1,7,8] => [4,5,1,6,3,2,7,8] => [6,1,3,5,4,2,7,8] => 0011100
[6,2,3,5,4,1,8,7] => [4,5,1,6,3,2,8,7] => [6,1,3,5,4,2,8,7] => 0011101
[7,2,3,5,4,6,1,8] => [6,7,2,5,3,4,1,8] => [5,2,3,7,4,6,1,8] => 0001110
[7,2,3,5,6,4,1,8] => [4,6,1,7,3,5,2,8] => [7,1,3,5,6,4,2,8] => 0010110
[8,2,3,5,7,6,4,1] => [4,6,2,7,3,8,5,1] => [8,2,3,5,7,6,4,1] => 0010111
[7,2,3,6,5,4,1,8] => [4,5,2,6,7,3,1,8] => [7,2,3,6,5,4,1,8] => 0011110
[8,2,3,7,5,6,4,1] => [4,6,1,8,7,5,3,2] => [7,5,8,1,3,6,4,2] => 0010111
[8,2,3,7,6,5,4,1] => [4,5,1,6,7,8,3,2] => [8,1,3,7,6,5,4,2] => 0011111
[5,2,4,3,1,6,7,8] => [3,4,5,1,2,6,7,8] => [5,1,4,3,2,6,7,8] => 0111000
[5,2,4,3,1,6,8,7] => [3,4,5,1,2,6,8,7] => [5,1,4,3,2,6,8,7] => 0111001
[5,2,4,3,1,7,8,6] => [3,4,5,1,2,8,7,6] => [5,1,4,3,2,7,8,6] => 0111001
[5,2,4,3,1,8,7,6] => [3,4,5,1,2,7,8,6] => [5,1,4,3,2,8,7,6] => 0111011
[5,2,4,3,6,1,8,7] => [6,5,4,2,3,1,8,7] => [4,2,5,3,6,1,8,7] => 0011101
[5,2,4,3,6,7,8,1] => [8,5,4,2,3,6,7,1] => [4,2,5,3,6,7,8,1] => 0011001
[5,2,4,3,7,6,8,1] => [8,5,4,2,3,7,6,1] => [4,2,5,3,7,6,8,1] => 0011011
[5,2,4,3,8,7,6,1] => [6,5,4,2,3,7,8,1] => [4,2,5,3,8,7,6,1] => 0011111
[6,2,4,3,5,1,8,7] => [5,6,4,2,3,1,8,7] => [4,2,6,3,5,1,8,7] => 0011101
[6,2,4,3,5,8,7,1] => [7,6,4,2,3,5,8,1] => [4,2,6,3,5,8,7,1] => 0010111
[7,2,4,3,6,5,8,1] => [8,7,4,2,6,3,5,1] => [4,2,6,3,7,5,8,1] => 0010111
[8,2,4,3,6,5,7,1] => [7,8,4,2,6,3,5,1] => [4,2,6,3,8,5,7,1] => 0010111
[8,2,4,3,7,6,5,1] => [5,6,4,2,7,8,3,1] => [4,2,8,3,7,6,5,1] => 0011111
[6,2,4,5,3,1,7,8] => [3,5,6,1,4,2,7,8] => [6,1,4,5,3,2,7,8] => 0101100
[7,2,4,5,3,6,8,1] => [8,7,5,2,4,3,6,1] => [5,2,4,7,3,6,8,1] => 0001011
[8,2,4,5,3,7,6,1] => [6,7,5,1,4,8,3,2] => [5,1,4,8,3,7,6,2] => 0001111
[7,2,4,5,6,3,8,1] => [8,7,6,2,4,5,3,1] => [6,2,4,5,7,3,8,1] => 0000111
[8,2,4,5,7,6,3,1] => [3,6,7,2,4,8,5,1] => [8,2,4,5,7,6,3,1] => 0100111
[7,2,4,6,5,3,1,8] => [3,5,6,2,7,4,1,8] => [7,2,4,6,5,3,1,8] => 0101110
[8,2,4,7,5,6,3,1] => [3,6,8,1,7,5,4,2] => [7,5,8,1,4,6,3,2] => 0100111
[8,2,4,7,6,5,3,1] => [3,5,6,1,7,8,4,2] => [8,1,4,7,6,5,3,2] => 0101111
[6,2,5,4,3,1,7,8] => [3,4,5,6,2,1,7,8] => [6,2,5,4,3,1,7,8] => 0111100
[6,2,5,4,3,1,8,7] => [3,4,5,6,2,1,8,7] => [6,2,5,4,3,1,8,7] => 0111101
[6,2,5,4,3,7,1,8] => [7,6,4,5,2,3,1,8] => [5,4,2,6,3,7,1,8] => 0011110
[6,2,5,4,3,7,8,1] => [8,6,4,5,2,3,7,1] => [5,4,2,6,3,7,8,1] => 0011101
[6,2,5,4,3,8,7,1] => [7,6,4,5,2,3,8,1] => [5,4,2,6,3,8,7,1] => 0011111
[7,2,5,4,3,6,1,8] => [6,7,4,5,2,3,1,8] => [5,4,2,7,3,6,1,8] => 0011110
[7,2,5,4,6,3,8,1] => [8,7,6,5,2,4,3,1] => [5,2,6,4,7,3,8,1] => 0001111
[8,2,5,4,6,3,7,1] => [7,8,6,5,2,4,3,1] => [5,2,6,4,8,3,7,1] => 0001111
[8,2,5,4,6,7,3,1] => [3,7,8,5,1,4,6,2] => [5,1,8,4,6,7,3,2] => 0101011
[7,2,6,4,5,3,8,1] => [8,7,5,6,4,2,3,1] => [6,4,5,2,7,3,8,1] => 0001111
[8,2,6,4,5,7,3,1] => [3,7,8,6,4,1,5,2] => [6,4,8,1,5,7,3,2] => 0100111
[7,2,6,5,4,3,1,8] => [3,4,5,6,7,1,2,8] => [7,1,6,5,4,3,2,8] => 0111110
[8,2,6,5,4,3,7,1] => [7,8,4,5,6,2,3,1] => [6,5,4,2,8,3,7,1] => 0011111
[8,2,6,5,4,7,3,1] => [3,7,8,5,6,1,4,2] => [6,5,1,8,4,7,3,2] => 0101111
[8,2,7,5,4,6,3,1] => [3,6,8,5,7,4,1,2] => [7,5,4,8,1,6,3,2] => 0101111
[8,2,7,6,5,4,3,1] => [3,4,5,6,7,8,2,1] => [8,2,7,6,5,4,3,1] => 0111111
[4,3,2,1,8,6,7,5] => [2,3,4,1,7,8,6,5] => [4,3,2,1,8,6,7,5] => 1110011
[4,3,2,7,5,6,8,1] => [8,3,4,2,7,5,6,1] => [4,3,2,7,5,6,8,1] => 0110011
[4,3,2,8,5,6,7,1] => [7,3,4,2,8,5,6,1] => [4,3,2,8,5,6,7,1] => 0110011
[4,3,2,8,5,7,6,1] => [6,3,4,2,7,8,1,5] => [4,3,2,8,1,7,6,5] => 0110111
[5,3,2,4,1,6,8,7] => [4,3,5,2,1,6,8,7] => [5,3,2,4,1,6,8,7] => 0111001
[5,3,2,4,6,1,8,7] => [6,3,5,2,4,1,8,7] => [5,3,2,4,6,1,8,7] => 0101101
[8,3,2,4,5,7,6,1] => [6,3,7,1,4,8,5,2] => [8,3,1,4,5,7,6,2] => 0100111
[7,3,2,4,6,5,8,1] => [8,3,7,2,6,4,5,1] => [6,3,2,4,7,5,8,1] => 0100111
[8,3,2,4,7,6,5,1] => [5,3,6,2,7,8,4,1] => [8,3,2,4,7,6,5,1] => 0101111
[6,3,2,5,4,1,7,8] => [4,3,5,6,1,2,7,8] => [6,3,1,5,4,2,7,8] => 0111100
[6,3,2,5,4,1,8,7] => [4,3,5,6,1,2,8,7] => [6,3,1,5,4,2,8,7] => 0111101
[7,3,2,5,4,6,1,8] => [6,3,7,5,2,4,1,8] => [5,3,2,7,4,6,1,8] => 0101110
[7,3,2,5,4,6,8,1] => [8,3,7,5,2,4,6,1] => [5,3,2,7,4,6,8,1] => 0101011
[8,3,2,5,4,7,6,1] => [6,3,7,5,1,8,4,2] => [5,3,1,8,4,7,6,2] => 0101111
[7,3,2,5,6,4,8,1] => [8,3,7,6,2,5,4,1] => [6,3,2,5,7,4,8,1] => 0100111
[8,3,2,5,7,6,4,1] => [4,3,6,7,2,8,5,1] => [8,3,2,5,7,6,4,1] => 0110111
[7,3,2,6,5,4,8,1] => [8,3,7,5,6,2,4,1] => [6,5,3,2,7,4,8,1] => 0101111
[8,3,2,7,5,6,4,1] => [4,3,6,8,7,5,1,2] => [7,5,8,3,1,6,4,2] => 0110111
[8,3,2,7,6,5,4,1] => [4,3,5,6,7,8,1,2] => [8,3,1,7,6,5,4,2] => 0111111
[5,3,4,2,1,6,8,7] => [2,4,5,3,1,6,8,7] => [5,3,4,2,1,6,8,7] => 1011001
[5,3,4,2,1,7,8,6] => [2,4,5,3,1,8,7,6] => [5,3,4,2,1,7,8,6] => 1011001
[5,3,4,2,1,8,7,6] => [2,4,5,3,1,7,8,6] => [5,3,4,2,1,8,7,6] => 1011011
[8,3,4,2,5,7,6,1] => [6,4,7,1,2,8,5,3] => [8,1,4,2,5,7,6,3] => 0010111
[6,3,4,5,2,1,8,7] => [2,5,6,3,4,1,8,7] => [6,3,4,5,2,1,8,7] => 1001101
[6,3,4,5,2,8,7,1] => [7,5,6,3,4,2,8,1] => [6,3,4,5,2,8,7,1] => 0001111
[7,3,4,6,5,2,8,1] => [8,5,6,2,7,4,3,1] => [7,2,4,6,5,3,8,1] => 0001111
[8,3,4,7,6,5,2,1] => [2,5,6,3,7,8,4,1] => [8,3,4,7,6,5,2,1] => 1001111
[6,3,5,4,2,1,7,8] => [2,4,5,6,1,3,7,8] => [6,2,1,5,4,3,7,8] => 1011100
[6,3,5,4,2,1,8,7] => [2,4,5,6,1,3,8,7] => [6,2,1,5,4,3,8,7] => 1011101
[6,3,5,4,2,7,1,8] => [7,4,5,6,2,3,1,8] => [6,2,5,4,3,7,1,8] => 0011110
[7,3,5,4,6,2,1,8] => [2,6,7,5,3,4,1,8] => [5,3,7,4,6,2,1,8] => 1001110
[7,3,5,4,6,2,8,1] => [8,6,7,5,3,4,2,1] => [5,3,7,4,6,2,8,1] => 0001111
[8,3,5,4,6,2,7,1] => [7,6,8,5,3,4,2,1] => [5,3,8,4,6,2,7,1] => 0001111
[7,3,6,4,5,2,1,8] => [2,5,7,6,4,3,1,8] => [6,4,7,3,5,2,1,8] => 1001110
[7,3,6,4,5,2,8,1] => [8,5,7,6,4,3,2,1] => [6,4,7,3,5,2,8,1] => 0001111
[8,3,6,4,5,2,7,1] => [7,5,8,6,4,3,2,1] => [6,4,8,3,5,2,7,1] => 0001111
[8,3,7,4,5,6,2,1] => [2,6,8,7,4,5,3,1] => [7,4,5,8,3,6,2,1] => 1000111
[8,3,7,4,6,5,2,1] => [2,5,6,8,7,1,4,3] => [7,2,1,8,4,6,5,3] => 1001111
[7,3,6,5,4,2,1,8] => [2,4,5,6,7,3,1,8] => [7,3,6,5,4,2,1,8] => 1011110
[7,3,6,5,4,2,8,1] => [8,4,5,6,7,3,2,1] => [7,3,6,5,4,2,8,1] => 0011111
[8,3,6,5,4,2,7,1] => [7,4,5,6,8,3,2,1] => [8,3,6,5,4,2,7,1] => 0011111
[8,3,6,5,4,7,2,1] => [2,7,8,5,6,3,4,1] => [6,5,3,8,4,7,2,1] => 1001111
[8,3,7,5,4,6,2,1] => [2,6,8,5,7,4,3,1] => [7,5,4,8,3,6,2,1] => 1001111
[8,3,7,5,6,4,2,1] => [2,4,6,8,7,5,1,3] => [7,5,8,2,1,6,4,3] => 1010111
[8,3,7,6,5,4,2,1] => [2,4,5,6,7,8,1,3] => [8,2,1,7,6,5,4,3] => 1011111
[8,4,3,2,7,6,5,1] => [5,3,4,6,7,8,2,1] => [8,4,3,2,7,6,5,1] => 0111111
[8,4,3,5,2,7,6,1] => [6,5,4,7,1,8,2,3] => [8,4,1,5,2,7,6,3] => 0011111
[7,4,3,6,5,2,1,8] => [2,5,4,6,7,1,3,8] => [7,4,2,1,6,5,3,8] => 1011110
[8,4,3,7,5,6,2,1] => [2,6,4,8,7,5,3,1] => [7,5,8,4,3,6,2,1] => 1010111
[8,4,3,7,6,5,2,1] => [2,5,4,6,7,8,3,1] => [8,4,3,7,6,5,2,1] => 1011111
[6,5,3,4,2,1,8,7] => [2,4,5,3,6,1,8,7] => [6,5,3,4,2,1,8,7] => 1011101
[8,5,3,4,7,6,2,1] => [2,6,5,1,7,8,4,3] => [8,5,2,1,4,7,6,3] => 1001111
[7,6,3,5,4,2,1,8] => [2,4,5,6,1,7,3,8] => [7,6,2,1,5,4,3,8] => 1011110
[8,7,3,5,4,6,2,1] => [2,6,7,5,3,4,8,1] => [5,3,8,7,4,6,2,1] => 1001111
[8,7,3,6,5,4,2,1] => [2,4,5,6,7,3,8,1] => [8,7,3,6,5,4,2,1] => 1011111
[8,5,4,3,2,7,6,1] => [6,3,4,5,7,8,1,2] => [8,5,4,3,1,7,6,2] => 0111111
[8,5,4,3,7,6,2,1] => [2,6,4,5,7,8,1,3] => [8,5,4,2,1,7,6,3] => 1011111
[8,7,4,6,5,3,2,1] => [2,3,5,6,7,1,8,4] => [8,7,3,2,1,6,5,4] => 1101111
[2,4,1,3,6,5,8,7] => [4,2,1,3,6,5,8,7] => [2,4,1,3,6,5,8,7] => 0010101
[2,1,4,6,3,5,8,7] => [2,1,6,4,3,5,8,7] => [2,1,4,6,3,5,8,7] => 1000101
[2,4,1,6,3,5,8,7] => [4,2,6,1,3,5,8,7] => [2,6,1,4,3,5,8,7] => 0010101
[2,4,6,1,3,5,8,7] => [6,2,1,4,3,5,8,7] => [2,4,6,1,3,5,8,7] => 0000101
[2,1,4,3,6,8,5,7] => [2,1,4,3,8,6,5,7] => [2,1,4,3,6,8,5,7] => 1010001
[2,4,1,3,6,8,5,7] => [4,2,1,3,8,6,5,7] => [2,4,1,3,6,8,5,7] => 0010001
[2,1,4,6,3,8,5,7] => [2,1,6,4,8,3,5,7] => [2,1,4,8,3,6,5,7] => 1000101
[2,4,1,6,3,8,5,7] => [4,2,6,1,8,3,5,7] => [2,8,1,4,3,6,5,7] => 0010101
[2,4,6,1,3,8,5,7] => [6,2,1,4,8,3,5,7] => [2,4,8,1,3,6,5,7] => 0000101
[2,1,4,6,8,3,5,7] => [2,1,8,4,3,6,5,7] => [2,1,4,6,8,3,5,7] => 1000001
[2,4,1,6,8,3,5,7] => [4,2,8,1,3,6,5,7] => [2,6,8,1,4,3,5,7] => 0010001
[2,4,6,1,8,3,5,7] => [6,2,8,4,3,1,5,7] => [2,4,8,3,6,1,5,7] => 0000101
[2,4,6,8,1,3,5,7] => [8,2,1,4,3,6,5,7] => [2,4,6,8,1,3,5,7] => 0000001
[2,4,1,3,6,5,7,8] => [4,2,1,3,6,5,7,8] => [2,4,1,3,6,5,7,8] => 0010100
[2,1,4,6,3,5,7,8] => [2,1,6,4,3,5,7,8] => [2,1,4,6,3,5,7,8] => 1000100
[2,4,1,6,3,5,7,8] => [4,2,6,1,3,5,7,8] => [2,6,1,4,3,5,7,8] => 0010100
[2,4,6,1,3,5,7,8] => [6,2,1,4,3,5,7,8] => [2,4,6,1,3,5,7,8] => 0000100
[2,4,1,6,3,7,5,8] => [4,2,6,1,7,3,5,8] => [2,7,1,4,3,6,5,8] => 0010110
[2,4,6,7,1,3,5,8] => [7,2,1,4,3,6,5,8] => [2,4,6,7,1,3,5,8] => 0000010
[2,4,1,3,6,7,8,5] => [4,2,1,3,8,6,7,5] => [2,4,1,3,6,7,8,5] => 0010001
[2,4,1,6,3,7,8,5] => [4,2,6,1,8,3,7,5] => [2,7,8,1,4,3,6,5] => 0010101
[2,4,6,1,3,7,8,5] => [6,2,1,4,8,3,7,5] => [2,4,7,8,1,3,6,5] => 0000101
[2,1,4,6,7,3,8,5] => [2,1,7,4,8,6,3,5] => [2,1,4,6,8,3,7,5] => 1000011
[2,4,1,6,7,3,8,5] => [4,2,7,1,8,6,3,5] => [2,6,8,1,4,3,7,5] => 0010011
[2,4,6,1,7,3,8,5] => [6,2,7,4,8,1,3,5] => [2,4,8,1,7,3,6,5] => 0000111
[2,4,1,6,7,8,3,5] => [4,2,8,1,3,6,7,5] => [2,6,7,8,1,4,3,5] => 0010001
[2,4,6,7,1,8,3,5] => [7,2,8,4,3,6,1,5] => [2,4,6,8,3,7,1,5] => 0000011
[2,1,4,3,7,5,8,6] => [2,1,4,3,7,8,5,6] => [2,1,4,3,8,5,7,6] => 1010011
[2,4,1,3,7,5,8,6] => [4,2,1,3,7,8,5,6] => [2,4,1,3,8,5,7,6] => 0010011
[2,1,4,7,3,5,8,6] => [2,1,7,4,3,8,5,6] => [2,1,4,8,3,5,7,6] => 1000011
[2,4,1,7,3,5,8,6] => [4,2,7,1,3,8,5,6] => [2,8,1,4,3,5,7,6] => 0010011
[2,1,4,3,7,8,5,6] => [2,1,4,3,8,5,7,6] => [2,1,4,3,7,8,5,6] => 1010001
[2,4,1,3,7,8,5,6] => [4,2,1,3,8,5,7,6] => [2,4,1,3,7,8,5,6] => 0010001
[2,1,4,7,3,8,5,6] => [2,1,7,4,8,5,3,6] => [2,1,4,8,5,7,3,6] => 1000011
[2,4,1,7,3,8,5,6] => [4,2,7,1,8,5,3,6] => [2,8,5,7,1,4,3,6] => 0010011
[2,1,4,7,8,3,5,6] => [2,1,8,4,3,5,7,6] => [2,1,4,7,8,3,5,6] => 1000001
[2,4,7,1,8,3,5,6] => [7,2,8,4,3,5,1,6] => [2,4,8,3,5,7,1,6] => 0000011
[2,4,7,8,1,3,5,6] => [8,2,1,4,3,5,7,6] => [2,4,7,8,1,3,5,6] => 0000001
[2,4,1,5,3,7,6,8] => [4,2,5,1,3,7,6,8] => [2,5,1,4,3,7,6,8] => 0011010
[2,4,5,1,3,7,6,8] => [5,2,1,4,3,7,6,8] => [2,4,5,1,3,7,6,8] => 0001010
[2,4,5,1,7,3,6,8] => [5,2,7,4,1,3,6,8] => [2,4,7,1,5,3,6,8] => 0001010
[2,4,1,3,5,7,8,6] => [4,2,1,3,5,8,7,6] => [2,4,1,3,5,7,8,6] => 0010001
[2,4,1,5,3,7,8,6] => [4,2,5,1,3,8,7,6] => [2,5,1,4,3,7,8,6] => 0011001
[2,4,5,1,3,7,8,6] => [5,2,1,4,3,8,7,6] => [2,4,5,1,3,7,8,6] => 0001001
[2,1,4,5,7,3,8,6] => [2,1,7,4,5,8,3,6] => [2,1,4,5,8,3,7,6] => 1000011
[2,4,1,5,7,3,8,6] => [4,2,7,1,5,8,3,6] => [2,5,8,1,4,3,7,6] => 0010011
[2,4,5,1,7,3,8,6] => [5,2,7,4,1,8,3,6] => [2,4,8,1,5,3,7,6] => 0001011
[2,4,5,7,1,3,8,6] => [7,2,1,4,5,8,3,6] => [2,4,5,8,1,3,7,6] => 0000011
[2,1,4,5,7,8,3,6] => [2,1,8,4,5,3,7,6] => [2,1,4,5,7,8,3,6] => 1000001
[2,4,5,1,7,8,3,6] => [5,2,8,4,1,3,7,6] => [2,4,7,8,1,5,3,6] => 0001001
[2,4,5,7,1,8,3,6] => [7,2,8,4,5,3,1,6] => [2,4,5,8,3,7,1,6] => 0000011
[2,1,4,3,8,5,6,7] => [2,1,4,3,8,5,6,7] => [2,1,4,3,8,5,6,7] => 1010001
[2,4,1,3,8,5,6,7] => [4,2,1,3,8,5,6,7] => [2,4,1,3,8,5,6,7] => 0010001
[2,1,4,3,5,8,6,7] => [2,1,4,3,5,8,6,7] => [2,1,4,3,5,8,6,7] => 1010001
[2,4,1,5,3,8,6,7] => [4,2,5,1,3,8,6,7] => [2,5,1,4,3,8,6,7] => 0011001
[2,1,4,5,8,3,6,7] => [2,1,8,4,5,3,6,7] => [2,1,4,5,8,3,6,7] => 1000001
[2,4,5,1,6,3,8,7] => [5,2,6,4,1,3,8,7] => [2,4,6,1,5,3,8,7] => 0001101
[2,4,5,1,6,8,3,7] => [5,2,8,4,1,6,3,7] => [2,4,6,8,1,5,3,7] => 0001001
[2,4,5,6,1,8,3,7] => [6,2,8,4,5,1,3,7] => [2,4,5,8,1,6,3,7] => 0000101
[2,4,1,3,5,6,7,8] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => 0010000
[2,4,5,1,3,6,7,8] => [5,2,1,4,3,6,7,8] => [2,4,5,1,3,6,7,8] => 0001000
[2,4,1,5,6,3,7,8] => [4,2,6,1,5,3,7,8] => [2,5,6,1,4,3,7,8] => 0010100
[2,4,5,1,6,3,7,8] => [5,2,6,4,1,3,7,8] => [2,4,6,1,5,3,7,8] => 0001100
[2,4,5,6,1,3,7,8] => [6,2,1,4,5,3,7,8] => [2,4,5,6,1,3,7,8] => 0000100
[2,4,5,6,7,1,3,8] => [7,2,1,4,5,6,3,8] => [2,4,5,6,7,1,3,8] => 0000010
[2,4,1,5,6,7,8,3] => [4,2,8,1,5,6,7,3] => [2,5,6,7,8,1,4,3] => 0010001
[2,4,5,1,6,7,8,3] => [5,2,8,4,1,6,7,3] => [2,4,6,7,8,1,5,3] => 0001001
[2,4,5,6,1,7,8,3] => [6,2,8,4,5,1,7,3] => [2,4,5,7,8,1,6,3] => 0000101
[2,4,5,6,7,1,8,3] => [7,2,8,4,5,6,1,3] => [2,4,5,6,8,1,7,3] => 0000011
[2,4,5,6,7,8,1,3] => [8,2,1,4,5,6,7,3] => [2,4,5,6,7,8,1,3] => 0000001
[2,1,5,3,6,4,8,7] => [2,1,5,6,3,4,8,7] => [2,1,6,3,5,4,8,7] => 1001101
[2,5,1,3,6,4,8,7] => [5,2,1,6,3,4,8,7] => [2,6,1,3,5,4,8,7] => 0001101
[2,1,5,6,3,4,8,7] => [2,1,6,3,5,4,8,7] => [2,1,5,6,3,4,8,7] => 1000101
[2,5,6,8,1,3,4,7] => [8,2,1,3,5,6,4,7] => [2,5,6,8,1,3,4,7] => 0000001
[2,5,1,3,6,4,7,8] => [5,2,1,6,3,4,7,8] => [2,6,1,3,5,4,7,8] => 0001100
[2,5,1,3,6,7,4,8] => [5,2,1,7,3,6,4,8] => [2,6,7,1,3,5,4,8] => 0001010
[2,5,1,6,3,7,4,8] => [5,2,6,7,1,3,4,8] => [2,7,1,6,3,5,4,8] => 0001110
[2,5,6,1,3,7,4,8] => [6,2,1,7,5,3,4,8] => [2,5,7,1,3,6,4,8] => 0000110
[2,1,5,3,6,7,8,4] => [2,1,5,8,3,6,7,4] => [2,1,6,7,8,3,5,4] => 1001001
[2,5,1,3,6,7,8,4] => [5,2,1,8,3,6,7,4] => [2,6,7,8,1,3,5,4] => 0001001
[2,1,5,6,3,7,8,4] => [2,1,6,8,5,3,7,4] => [2,1,5,7,8,3,6,4] => 1000101
[2,1,5,6,7,3,8,4] => [2,1,7,8,5,6,3,4] => [2,1,5,6,8,3,7,4] => 1000011
[2,5,6,1,7,3,8,4] => [6,2,7,8,5,1,3,4] => [2,5,8,1,7,3,6,4] => 0000111
[2,1,5,6,7,8,3,4] => [2,1,8,3,5,6,7,4] => [2,1,5,6,7,8,3,4] => 1000001
[2,5,6,1,7,8,3,4] => [6,2,8,3,5,1,7,4] => [2,5,7,8,3,6,1,4] => 0000101
[2,5,6,7,8,1,3,4] => [8,2,1,3,5,6,7,4] => [2,5,6,7,8,1,3,4] => 0000001
[2,1,5,3,7,4,8,6] => [2,1,5,7,3,8,4,6] => [2,1,8,3,5,4,7,6] => 1001011
[2,5,1,3,7,4,8,6] => [5,2,1,7,3,8,4,6] => [2,8,1,3,5,4,7,6] => 0001011
[2,5,1,7,3,4,8,6] => [5,2,7,3,1,8,4,6] => [2,8,3,5,1,4,7,6] => 0001011
[2,5,7,1,3,4,8,6] => [7,2,1,3,5,8,4,6] => [2,5,8,1,3,4,7,6] => 0000011
[2,5,1,3,7,8,4,6] => [5,2,1,8,3,4,7,6] => [2,7,8,1,3,5,4,6] => 0001001
[2,1,5,7,3,8,4,6] => [2,1,7,8,5,4,3,6] => [2,1,5,8,4,7,3,6] => 1000011
[2,5,1,7,3,8,4,6] => [5,2,7,8,1,4,3,6] => [2,8,1,7,4,5,3,6] => 0001011
[2,1,5,7,8,3,4,6] => [2,1,8,3,5,4,7,6] => [2,1,5,7,8,3,4,6] => 1000001
[2,5,7,8,1,3,4,6] => [8,2,1,3,5,4,7,6] => [2,5,7,8,1,3,4,6] => 0000001
[2,3,5,1,7,4,8,6] => [5,2,3,7,1,8,4,6] => [2,3,8,1,5,4,7,6] => 0001011
[2,3,1,5,7,8,4,6] => [3,2,1,8,5,4,7,6] => [2,3,1,5,7,8,4,6] => 0100001
[2,3,5,1,7,8,4,6] => [5,2,3,8,1,4,7,6] => [2,3,7,8,1,5,4,6] => 0001001
[2,3,5,7,8,1,4,6] => [8,2,3,1,5,4,7,6] => [2,3,5,7,8,1,4,6] => 0000001
[2,5,1,3,8,4,6,7] => [5,2,1,8,3,4,6,7] => [2,8,1,3,5,4,6,7] => 0001001
[2,3,5,1,4,8,6,7] => [5,2,3,1,4,8,6,7] => [2,3,5,1,4,8,6,7] => 0001001
[2,1,3,5,8,4,6,7] => [2,1,3,8,5,4,6,7] => [2,1,3,5,8,4,6,7] => 1000001
[2,1,5,3,4,6,8,7] => [2,1,5,3,4,6,8,7] => [2,1,5,3,4,6,8,7] => 1001001
[2,3,5,1,6,4,8,7] => [5,2,3,6,1,4,8,7] => [2,3,6,1,5,4,8,7] => 0001101
[2,3,5,6,1,4,8,7] => [6,2,3,1,5,4,8,7] => [2,3,5,6,1,4,8,7] => 0000101
[2,3,1,5,6,8,4,7] => [3,2,1,8,5,6,4,7] => [2,3,1,5,6,8,4,7] => 0100001
[2,3,5,6,8,1,4,7] => [8,2,3,1,5,6,4,7] => [2,3,5,6,8,1,4,7] => 0000001
[2,1,5,3,4,6,7,8] => [2,1,5,3,4,6,7,8] => [2,1,5,3,4,6,7,8] => 1001000
[2,5,1,3,4,6,7,8] => [5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => 0001000
[2,3,5,1,4,6,7,8] => [5,2,3,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => 0001000
[2,3,5,1,6,4,7,8] => [5,2,3,6,1,4,7,8] => [2,3,6,1,5,4,7,8] => 0001100
[2,3,5,6,1,4,7,8] => [6,2,3,1,5,4,7,8] => [2,3,5,6,1,4,7,8] => 0000100
[2,3,5,1,6,7,4,8] => [5,2,3,7,1,6,4,8] => [2,3,6,7,1,5,4,8] => 0001010
[2,3,5,6,1,7,4,8] => [6,2,3,7,5,1,4,8] => [2,3,5,7,1,6,4,8] => 0000110
[2,3,5,6,7,1,4,8] => [7,2,3,1,5,6,4,8] => [2,3,5,6,7,1,4,8] => 0000010
[2,3,5,1,6,7,8,4] => [5,2,3,8,1,6,7,4] => [2,3,6,7,8,1,5,4] => 0001001
[2,3,5,6,1,7,8,4] => [6,2,3,8,5,1,7,4] => [2,3,5,7,8,1,6,4] => 0000101
[2,3,5,6,7,1,8,4] => [7,2,3,8,5,6,1,4] => [2,3,5,6,8,1,7,4] => 0000011
[2,3,5,6,7,8,1,4] => [8,2,3,1,5,6,7,4] => [2,3,5,6,7,8,1,4] => 0000001
[2,1,6,3,7,4,8,5] => [2,1,6,7,8,3,4,5] => [2,1,8,3,7,4,6,5] => 1000111
[2,1,6,7,3,4,8,5] => [2,1,7,3,8,6,4,5] => [2,1,6,8,3,4,7,5] => 1000011
[2,6,1,7,3,4,8,5] => [6,2,7,3,8,1,4,5] => [2,8,3,7,1,4,6,5] => 0000111
[2,6,1,3,7,8,4,5] => [6,2,1,8,4,3,7,5] => [2,7,8,4,6,1,3,5] => 0000101
[2,1,6,7,3,8,4,5] => [2,1,7,8,4,6,3,5] => [2,1,6,8,4,7,3,5] => 1000011
[2,6,1,7,3,8,4,5] => [6,2,7,8,4,1,3,5] => [2,8,4,7,1,6,3,5] => 0000111
[2,1,6,7,8,3,4,5] => [2,1,8,3,4,6,7,5] => [2,1,6,7,8,3,4,5] => 1000001
[2,6,7,1,8,3,4,5] => [7,2,8,3,4,6,1,5] => [2,6,8,3,4,7,1,5] => 0000011
[2,6,7,8,1,3,4,5] => [8,2,1,3,4,6,7,5] => [2,6,7,8,1,3,4,5] => 0000001
[2,3,6,7,1,4,5,8] => [7,2,3,1,4,6,5,8] => [2,3,6,7,1,4,5,8] => 0000010
[2,1,6,3,4,7,8,5] => [2,1,6,3,8,4,7,5] => [2,1,7,8,3,4,6,5] => 1000101
[2,3,6,1,4,7,8,5] => [6,2,3,1,8,4,7,5] => [2,3,7,8,1,4,6,5] => 0000101
[2,3,1,6,7,4,8,5] => [3,2,1,7,8,6,4,5] => [2,3,1,6,8,4,7,5] => 0100011
[2,3,6,7,1,4,8,5] => [7,2,3,1,8,6,4,5] => [2,3,6,8,1,4,7,5] => 0000011
[2,1,3,6,7,8,4,5] => [2,1,3,8,4,6,7,5] => [2,1,3,6,7,8,4,5] => 1000001
[2,3,1,6,7,8,4,5] => [3,2,1,8,4,6,7,5] => [2,3,1,6,7,8,4,5] => 0100001
[2,3,6,1,7,8,4,5] => [6,2,3,8,4,1,7,5] => [2,3,7,8,4,6,1,5] => 0000101
[2,3,6,7,1,8,4,5] => [7,2,3,8,4,6,1,5] => [2,3,6,8,4,7,1,5] => 0000011
[2,1,6,3,8,4,5,7] => [2,1,6,8,4,3,5,7] => [2,1,8,4,6,3,5,7] => 1000101
[2,6,1,3,8,4,5,7] => [6,2,1,8,4,3,5,7] => [2,8,4,6,1,3,5,7] => 0000101
[2,6,8,1,3,4,5,7] => [8,2,1,3,4,6,5,7] => [2,6,8,1,3,4,5,7] => 0000001
[2,3,1,6,4,8,5,7] => [3,2,1,6,8,4,5,7] => [2,3,1,8,4,6,5,7] => 0100101
[2,3,1,6,8,4,5,7] => [3,2,1,8,4,6,5,7] => [2,3,1,6,8,4,5,7] => 0100001
[2,3,6,8,1,4,5,7] => [8,2,3,1,4,6,5,7] => [2,3,6,8,1,4,5,7] => 0000001
[2,1,6,3,4,5,8,7] => [2,1,6,3,4,5,8,7] => [2,1,6,3,4,5,8,7] => 1000101
[2,1,3,6,4,5,8,7] => [2,1,3,6,4,5,8,7] => [2,1,3,6,4,5,8,7] => 1000101
[2,3,6,1,4,5,8,7] => [6,2,3,1,4,5,8,7] => [2,3,6,1,4,5,8,7] => 0000101
[2,3,4,1,6,8,5,7] => [4,2,3,1,8,6,5,7] => [2,3,4,1,6,8,5,7] => 0010001
[2,3,4,6,1,8,5,7] => [6,2,3,4,8,1,5,7] => [2,3,4,8,1,6,5,7] => 0000101
[2,6,1,3,4,5,7,8] => [6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => 0000100
[2,1,3,6,4,5,7,8] => [2,1,3,6,4,5,7,8] => [2,1,3,6,4,5,7,8] => 1000100
[2,3,1,6,4,5,7,8] => [3,2,1,6,4,5,7,8] => [2,3,1,6,4,5,7,8] => 0100100
[2,3,6,1,4,5,7,8] => [6,2,3,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => 0000100
[2,3,4,6,7,1,5,8] => [7,2,3,4,1,6,5,8] => [2,3,4,6,7,1,5,8] => 0000010
[2,3,4,6,1,7,8,5] => [6,2,3,4,8,1,7,5] => [2,3,4,7,8,1,6,5] => 0000101
[2,3,4,6,7,1,8,5] => [7,2,3,4,8,6,1,5] => [2,3,4,6,8,1,7,5] => 0000011
[2,3,4,6,7,8,1,5] => [8,2,3,4,1,6,7,5] => [2,3,4,6,7,8,1,5] => 0000001
[2,1,7,3,8,4,5,6] => [2,1,7,8,4,5,3,6] => [2,1,8,4,5,7,3,6] => 1000011
[2,7,1,3,8,4,5,6] => [7,2,1,8,4,5,3,6] => [2,8,4,5,7,1,3,6] => 0000011
[2,7,8,1,3,4,5,6] => [8,2,1,3,4,5,7,6] => [2,7,8,1,3,4,5,6] => 0000001
[2,1,7,3,4,8,5,6] => [2,1,7,3,8,5,4,6] => [2,1,8,5,7,3,4,6] => 1000011
[2,7,1,3,4,8,5,6] => [7,2,1,3,8,5,4,6] => [2,8,5,7,1,3,4,6] => 0000011
[2,1,3,7,8,4,5,6] => [2,1,3,8,4,5,7,6] => [2,1,3,7,8,4,5,6] => 1000001
[2,3,1,7,8,4,5,6] => [3,2,1,8,4,5,7,6] => [2,3,1,7,8,4,5,6] => 0100001
[2,3,7,8,1,4,5,6] => [8,2,3,1,4,5,7,6] => [2,3,7,8,1,4,5,6] => 0000001
[2,1,3,7,4,5,8,6] => [2,1,3,7,4,8,5,6] => [2,1,3,8,4,5,7,6] => 1000011
[2,3,1,7,4,5,8,6] => [3,2,1,7,4,8,5,6] => [2,3,1,8,4,5,7,6] => 0100011
[2,1,3,4,7,5,8,6] => [2,1,3,4,7,8,5,6] => [2,1,3,4,8,5,7,6] => 1000011
[2,3,4,1,7,5,8,6] => [4,2,3,1,7,8,5,6] => [2,3,4,1,8,5,7,6] => 0010011
[2,3,4,7,1,5,8,6] => [7,2,3,4,1,8,5,6] => [2,3,4,8,1,5,7,6] => 0000011
[2,1,3,4,7,8,5,6] => [2,1,3,4,8,5,7,6] => [2,1,3,4,7,8,5,6] => 1000001
[2,3,1,4,7,8,5,6] => [3,2,1,4,8,5,7,6] => [2,3,1,4,7,8,5,6] => 0100001
[2,3,4,1,7,8,5,6] => [4,2,3,1,8,5,7,6] => [2,3,4,1,7,8,5,6] => 0010001
[2,3,4,7,1,8,5,6] => [7,2,3,4,8,5,1,6] => [2,3,4,8,5,7,1,6] => 0000011
[2,3,4,7,8,1,5,6] => [8,2,3,4,1,5,7,6] => [2,3,4,7,8,1,5,6] => 0000001
[2,1,7,3,4,5,6,8] => [2,1,7,3,4,5,6,8] => [2,1,7,3,4,5,6,8] => 1000010
[2,7,1,3,4,5,6,8] => [7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => 0000010
[2,3,7,1,4,5,6,8] => [7,2,3,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => 0000010
[2,1,3,4,7,5,6,8] => [2,1,3,4,7,5,6,8] => [2,1,3,4,7,5,6,8] => 1000010
[2,3,4,7,1,5,6,8] => [7,2,3,4,1,5,6,8] => [2,3,4,7,1,5,6,8] => 0000010
[2,3,4,5,7,1,6,8] => [7,2,3,4,5,1,6,8] => [2,3,4,5,7,1,6,8] => 0000010
[2,3,4,5,7,1,8,6] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,1,7,6] => 0000011
[2,3,4,5,7,8,1,6] => [8,2,3,4,5,1,7,6] => [2,3,4,5,7,8,1,6] => 0000001
[2,1,8,3,4,5,6,7] => [2,1,8,3,4,5,6,7] => [2,1,8,3,4,5,6,7] => 1000001
[2,8,1,3,4,5,6,7] => [8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => 0000001
[2,1,3,8,4,5,6,7] => [2,1,3,8,4,5,6,7] => [2,1,3,8,4,5,6,7] => 1000001
[2,3,1,8,4,5,6,7] => [3,2,1,8,4,5,6,7] => [2,3,1,8,4,5,6,7] => 0100001
[2,3,8,1,4,5,6,7] => [8,2,3,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => 0000001
[2,1,3,4,8,5,6,7] => [2,1,3,4,8,5,6,7] => [2,1,3,4,8,5,6,7] => 1000001
[2,3,1,4,8,5,6,7] => [3,2,1,4,8,5,6,7] => [2,3,1,4,8,5,6,7] => 0100001
[2,3,4,1,8,5,6,7] => [4,2,3,1,8,5,6,7] => [2,3,4,1,8,5,6,7] => 0010001
[2,3,4,8,1,5,6,7] => [8,2,3,4,1,5,6,7] => [2,3,4,8,1,5,6,7] => 0000001
[2,1,3,4,5,8,6,7] => [2,1,3,4,5,8,6,7] => [2,1,3,4,5,8,6,7] => 1000001
[2,3,1,4,5,8,6,7] => [3,2,1,4,5,8,6,7] => [2,3,1,4,5,8,6,7] => 0100001
[2,3,4,1,5,8,6,7] => [4,2,3,1,5,8,6,7] => [2,3,4,1,5,8,6,7] => 0010001
[2,3,4,5,1,8,6,7] => [5,2,3,4,1,8,6,7] => [2,3,4,5,1,8,6,7] => 0001001
[2,3,4,5,8,1,6,7] => [8,2,3,4,5,1,6,7] => [2,3,4,5,8,1,6,7] => 0000001
[2,3,4,5,6,8,1,7] => [8,2,3,4,5,6,1,7] => [2,3,4,5,6,8,1,7] => 0000001
[3,1,4,2,6,5,8,7] => [3,4,1,2,6,5,8,7] => [4,1,3,2,6,5,8,7] => 0110101
[3,4,1,2,6,5,8,7] => [4,1,3,2,6,5,8,7] => [3,4,1,2,6,5,8,7] => 0010101
[3,4,6,1,2,5,8,7] => [6,1,3,4,2,5,8,7] => [3,4,6,1,2,5,8,7] => 0000101
[3,4,1,2,6,8,5,7] => [4,1,3,2,8,6,5,7] => [3,4,1,2,6,8,5,7] => 0010001
[3,4,6,8,1,2,5,7] => [8,1,3,4,2,6,5,7] => [3,4,6,8,1,2,5,7] => 0000001
[3,1,4,6,2,7,5,8] => [3,6,1,4,7,2,5,8] => [4,7,1,3,2,6,5,8] => 0100110
[3,4,1,6,2,7,5,8] => [4,6,3,1,7,2,5,8] => [3,7,1,4,2,6,5,8] => 0010110
[3,4,6,1,2,7,5,8] => [6,1,3,4,7,2,5,8] => [3,4,7,1,2,6,5,8] => 0000110
[3,1,4,6,7,2,5,8] => [3,7,1,4,2,6,5,8] => [4,6,7,1,3,2,5,8] => 0100010
[3,4,1,6,7,2,5,8] => [4,7,3,1,2,6,5,8] => [3,6,7,1,4,2,5,8] => 0010010
[3,1,4,2,6,7,8,5] => [3,4,1,2,8,6,7,5] => [4,1,3,2,6,7,8,5] => 0110001
[3,4,1,2,6,7,8,5] => [4,1,3,2,8,6,7,5] => [3,4,1,2,6,7,8,5] => 0010001
[3,4,1,6,2,7,8,5] => [4,6,3,1,8,2,7,5] => [3,7,8,1,4,2,6,5] => 0010101
[3,4,1,6,7,2,8,5] => [4,7,3,1,8,6,2,5] => [3,6,8,1,4,2,7,5] => 0010011
[3,4,6,1,7,2,8,5] => [6,7,3,4,8,1,2,5] => [3,4,8,1,7,2,6,5] => 0000111
[3,4,1,6,7,8,2,5] => [4,8,3,1,2,6,7,5] => [3,6,7,8,1,4,2,5] => 0010001
[3,4,6,1,7,8,2,5] => [6,8,3,4,2,1,7,5] => [3,4,7,8,2,6,1,5] => 0000101
[3,4,6,7,1,8,2,5] => [7,8,3,4,2,6,1,5] => [3,4,6,8,2,7,1,5] => 0000011
[3,4,6,7,8,1,2,5] => [8,1,3,4,2,6,7,5] => [3,4,6,7,8,1,2,5] => 0000001
[3,1,4,2,7,5,8,6] => [3,4,1,2,7,8,5,6] => [4,1,3,2,8,5,7,6] => 0110011
[3,4,1,2,7,5,8,6] => [4,1,3,2,7,8,5,6] => [3,4,1,2,8,5,7,6] => 0010011
[3,1,4,7,2,5,8,6] => [3,7,1,4,2,8,5,6] => [4,8,1,3,2,5,7,6] => 0100011
[3,4,1,7,2,5,8,6] => [4,7,3,1,2,8,5,6] => [3,8,1,4,2,5,7,6] => 0010011
[3,4,7,1,2,5,8,6] => [7,1,3,4,2,8,5,6] => [3,4,8,1,2,5,7,6] => 0000011
[3,1,4,2,7,8,5,6] => [3,4,1,2,8,5,7,6] => [4,1,3,2,7,8,5,6] => 0110001
[3,4,1,2,7,8,5,6] => [4,1,3,2,8,5,7,6] => [3,4,1,2,7,8,5,6] => 0010001
[3,4,1,7,2,8,5,6] => [4,7,3,1,8,5,2,6] => [3,8,5,7,1,4,2,6] => 0010011
[3,4,7,8,1,2,5,6] => [8,1,3,4,2,5,7,6] => [3,4,7,8,1,2,5,6] => 0000001
[3,1,4,2,5,7,6,8] => [3,4,1,2,5,7,6,8] => [4,1,3,2,5,7,6,8] => 0110010
[3,4,1,2,5,7,6,8] => [4,1,3,2,5,7,6,8] => [3,4,1,2,5,7,6,8] => 0010010
[3,1,4,5,2,7,6,8] => [3,5,1,4,2,7,6,8] => [4,5,1,3,2,7,6,8] => 0101010
[3,4,5,1,7,2,6,8] => [5,7,3,4,1,2,6,8] => [3,4,7,1,5,2,6,8] => 0001010
[3,1,4,2,5,7,8,6] => [3,4,1,2,5,8,7,6] => [4,1,3,2,5,7,8,6] => 0110001
[3,1,4,5,2,7,8,6] => [3,5,1,4,2,8,7,6] => [4,5,1,3,2,7,8,6] => 0101001
[3,4,1,5,2,7,8,6] => [4,5,3,1,2,8,7,6] => [3,5,1,4,2,7,8,6] => 0011001
[3,4,5,1,2,7,8,6] => [5,1,3,4,2,8,7,6] => [3,4,5,1,2,7,8,6] => 0001001
[3,4,5,1,7,2,8,6] => [5,7,3,4,1,8,2,6] => [3,4,8,1,5,2,7,6] => 0001011
[3,4,5,7,1,2,8,6] => [7,1,3,4,5,8,2,6] => [3,4,5,8,1,2,7,6] => 0000011
[3,4,1,5,7,8,2,6] => [4,8,3,1,5,2,7,6] => [3,5,7,8,1,4,2,6] => 0010001
[3,4,5,7,1,8,2,6] => [7,8,3,4,5,2,1,6] => [3,4,5,8,2,7,1,6] => 0000011
[3,1,4,2,8,5,6,7] => [3,4,1,2,8,5,6,7] => [4,1,3,2,8,5,6,7] => 0110001
[3,4,1,2,8,5,6,7] => [4,1,3,2,8,5,6,7] => [3,4,1,2,8,5,6,7] => 0010001
[3,4,1,5,2,8,6,7] => [4,5,3,1,2,8,6,7] => [3,5,1,4,2,8,6,7] => 0011001
[3,4,5,1,2,8,6,7] => [5,1,3,4,2,8,6,7] => [3,4,5,1,2,8,6,7] => 0001001
[3,4,5,1,8,2,6,7] => [5,8,3,4,1,2,6,7] => [3,4,8,1,5,2,6,7] => 0001001
[3,4,5,8,1,2,6,7] => [8,1,3,4,5,2,6,7] => [3,4,5,8,1,2,6,7] => 0000001
[3,4,1,5,2,6,8,7] => [4,5,3,1,2,6,8,7] => [3,5,1,4,2,6,8,7] => 0011001
[3,4,5,1,2,6,8,7] => [5,1,3,4,2,6,8,7] => [3,4,5,1,2,6,8,7] => 0001001
[3,1,4,5,6,2,8,7] => [3,6,1,4,5,2,8,7] => [4,5,6,1,3,2,8,7] => 0100101
[3,1,4,5,6,8,2,7] => [3,8,1,4,5,6,2,7] => [4,5,6,8,1,3,2,7] => 0100001
[3,4,5,1,6,8,2,7] => [5,8,3,4,1,6,2,7] => [3,4,6,8,1,5,2,7] => 0001001
[3,1,4,2,5,6,7,8] => [3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => 0110000
[3,1,4,5,2,6,7,8] => [3,5,1,4,2,6,7,8] => [4,5,1,3,2,6,7,8] => 0101000
[3,1,4,5,6,2,7,8] => [3,6,1,4,5,2,7,8] => [4,5,6,1,3,2,7,8] => 0100100
[3,4,1,5,6,2,7,8] => [4,6,3,1,5,2,7,8] => [3,5,6,1,4,2,7,8] => 0010100
[3,4,5,1,6,2,7,8] => [5,6,3,4,1,2,7,8] => [3,4,6,1,5,2,7,8] => 0001100
[3,1,4,5,6,7,2,8] => [3,7,1,4,5,6,2,8] => [4,5,6,7,1,3,2,8] => 0100010
[3,1,4,5,6,7,8,2] => [3,8,1,4,5,6,7,2] => [4,5,6,7,8,1,3,2] => 0100001
[3,4,1,5,6,7,8,2] => [4,8,3,1,5,6,7,2] => [3,5,6,7,8,1,4,2] => 0010001
[3,4,5,1,6,7,8,2] => [5,8,3,4,1,6,7,2] => [3,4,6,7,8,1,5,2] => 0001001
[3,4,5,6,1,7,8,2] => [6,8,3,4,5,1,7,2] => [3,4,5,7,8,1,6,2] => 0000101
[3,4,5,6,7,1,8,2] => [7,8,3,4,5,6,1,2] => [3,4,5,6,8,1,7,2] => 0000011
[3,1,5,2,6,4,8,7] => [3,5,1,6,2,4,8,7] => [6,1,3,2,5,4,8,7] => 0101101
[3,5,1,6,2,4,8,7] => [5,6,3,2,1,4,8,7] => [3,6,2,5,1,4,8,7] => 0001101
[3,5,6,1,2,4,8,7] => [6,1,3,2,5,4,8,7] => [3,5,6,1,2,4,8,7] => 0000101
[3,1,5,2,6,8,4,7] => [3,5,1,8,2,6,4,7] => [6,8,1,3,2,5,4,7] => 0101001
[3,5,1,2,6,8,4,7] => [5,1,3,8,2,6,4,7] => [3,6,8,1,2,5,4,7] => 0001001
[3,1,5,6,2,8,4,7] => [3,6,1,8,5,2,4,7] => [5,8,1,3,2,6,4,7] => 0100101
[3,5,6,1,2,8,4,7] => [6,1,3,8,5,2,4,7] => [3,5,8,1,2,6,4,7] => 0000101
[3,1,5,6,8,2,4,7] => [3,8,1,2,5,6,4,7] => [5,6,8,1,3,2,4,7] => 0100001
[3,5,1,6,8,2,4,7] => [5,8,3,2,1,6,4,7] => [3,6,8,2,5,1,4,7] => 0001001
[3,5,6,1,8,2,4,7] => [6,8,3,2,5,1,4,7] => [3,5,8,2,6,1,4,7] => 0000101
[3,5,6,8,1,2,4,7] => [8,1,3,2,5,6,4,7] => [3,5,6,8,1,2,4,7] => 0000001
[3,5,1,6,2,4,7,8] => [5,6,3,2,1,4,7,8] => [3,6,2,5,1,4,7,8] => 0001100
[3,1,5,6,2,7,4,8] => [3,6,1,7,5,2,4,8] => [5,7,1,3,2,6,4,8] => 0100110
[3,5,1,6,2,7,4,8] => [5,6,3,7,1,2,4,8] => [3,7,1,6,2,5,4,8] => 0001110
[3,5,6,1,2,7,4,8] => [6,1,3,7,5,2,4,8] => [3,5,7,1,2,6,4,8] => 0000110
[3,1,5,6,7,2,4,8] => [3,7,1,2,5,6,4,8] => [5,6,7,1,3,2,4,8] => 0100010
[3,5,1,6,7,2,4,8] => [5,7,3,2,1,6,4,8] => [3,6,7,2,5,1,4,8] => 0001010
[3,5,6,1,7,2,4,8] => [6,7,3,2,5,1,4,8] => [3,5,7,2,6,1,4,8] => 0000110
[3,5,6,7,1,2,4,8] => [7,1,3,2,5,6,4,8] => [3,5,6,7,1,2,4,8] => 0000010
[3,1,5,6,2,7,8,4] => [3,6,1,8,5,2,7,4] => [5,7,8,1,3,2,6,4] => 0100101
[3,5,6,1,2,7,8,4] => [6,1,3,8,5,2,7,4] => [3,5,7,8,1,2,6,4] => 0000101
[3,1,5,6,7,2,8,4] => [3,7,1,8,5,6,2,4] => [5,6,8,1,3,2,7,4] => 0100011
[3,5,1,6,7,2,8,4] => [5,7,3,8,1,6,2,4] => [3,6,8,1,7,2,5,4] => 0001011
[3,5,6,7,1,2,8,4] => [7,1,3,8,5,6,2,4] => [3,5,6,8,1,2,7,4] => 0000011
[3,1,5,6,7,8,2,4] => [3,8,1,2,5,6,7,4] => [5,6,7,8,1,3,2,4] => 0100001
[3,5,1,6,7,8,2,4] => [5,8,3,2,1,6,7,4] => [3,6,7,8,2,5,1,4] => 0001001
[3,5,6,1,7,8,2,4] => [6,8,3,2,5,1,7,4] => [3,5,7,8,2,6,1,4] => 0000101
[3,5,6,7,1,8,2,4] => [7,8,3,2,5,6,1,4] => [3,5,6,8,2,7,1,4] => 0000011
[3,5,6,7,8,1,2,4] => [8,1,3,2,5,6,7,4] => [3,5,6,7,8,1,2,4] => 0000001
[3,1,5,2,7,4,8,6] => [3,5,1,7,2,8,4,6] => [8,1,3,2,5,4,7,6] => 0101011
[3,5,1,2,7,4,8,6] => [5,1,3,7,2,8,4,6] => [3,8,1,2,5,4,7,6] => 0001011
[3,1,5,7,2,4,8,6] => [3,7,1,2,5,8,4,6] => [5,8,1,3,2,4,7,6] => 0100011
[3,5,7,1,2,4,8,6] => [7,1,3,2,5,8,4,6] => [3,5,8,1,2,4,7,6] => 0000011
[3,1,5,2,7,8,4,6] => [3,5,1,8,2,4,7,6] => [7,8,1,3,2,5,4,6] => 0101001
[3,1,5,7,8,2,4,6] => [3,8,1,2,5,4,7,6] => [5,7,8,1,3,2,4,6] => 0100001
[3,5,7,8,1,2,4,6] => [8,1,3,2,5,4,7,6] => [3,5,7,8,1,2,4,6] => 0000001
[3,1,5,2,7,4,6,8] => [3,5,1,7,2,4,6,8] => [7,1,3,2,5,4,6,8] => 0101010
[3,5,1,2,7,4,6,8] => [5,1,3,7,2,4,6,8] => [3,7,1,2,5,4,6,8] => 0001010
[3,1,5,7,2,4,6,8] => [3,7,1,2,5,4,6,8] => [5,7,1,3,2,4,6,8] => 0100010
[3,5,1,7,2,4,6,8] => [5,7,3,2,1,4,6,8] => [3,7,2,5,1,4,6,8] => 0001010
[3,5,7,1,2,4,6,8] => [7,1,3,2,5,4,6,8] => [3,5,7,1,2,4,6,8] => 0000010
[3,1,5,2,4,7,6,8] => [3,5,1,2,4,7,6,8] => [5,1,3,2,4,7,6,8] => 0101010
[3,5,1,2,4,7,6,8] => [5,1,3,2,4,7,6,8] => [3,5,1,2,4,7,6,8] => 0001010
[3,1,2,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => 0101010
[1,3,5,2,4,7,6,8] => [1,5,3,2,4,7,6,8] => [1,3,5,2,4,7,6,8] => 0001010
[3,1,2,5,7,4,6,8] => [3,1,2,7,5,4,6,8] => [3,1,2,5,7,4,6,8] => 0100010
[1,3,2,5,7,4,6,8] => [1,3,2,7,5,4,6,8] => [1,3,2,5,7,4,6,8] => 0100010
[1,3,5,2,7,4,6,8] => [1,5,3,7,2,4,6,8] => [1,3,7,2,5,4,6,8] => 0001010
[1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => [1,3,5,7,2,4,6,8] => 0000010
[3,1,5,2,4,7,8,6] => [3,5,1,2,4,8,7,6] => [5,1,3,2,4,7,8,6] => 0101001
[3,5,1,2,4,7,8,6] => [5,1,3,2,4,8,7,6] => [3,5,1,2,4,7,8,6] => 0001001
[1,3,5,2,4,7,8,6] => [1,5,3,2,4,8,7,6] => [1,3,5,2,4,7,8,6] => 0001001
[1,3,5,2,7,4,8,6] => [1,5,3,7,2,8,4,6] => [1,3,8,2,5,4,7,6] => 0001011
[1,3,5,7,2,4,8,6] => [1,7,3,2,5,8,4,6] => [1,3,5,8,2,4,7,6] => 0000011
[3,1,2,5,7,8,4,6] => [3,1,2,8,5,4,7,6] => [3,1,2,5,7,8,4,6] => 0100001
[1,3,2,5,7,8,4,6] => [1,3,2,8,5,4,7,6] => [1,3,2,5,7,8,4,6] => 0100001
[1,3,5,2,7,8,4,6] => [1,5,3,8,2,4,7,6] => [1,3,7,8,2,5,4,6] => 0001001
[1,3,5,7,2,8,4,6] => [1,7,3,8,5,4,2,6] => [1,3,5,8,4,7,2,6] => 0000011
[1,3,5,7,8,2,4,6] => [1,8,3,2,5,4,7,6] => [1,3,5,7,8,2,4,6] => 0000001
[3,1,5,2,8,4,6,7] => [3,5,1,8,2,4,6,7] => [8,1,3,2,5,4,6,7] => 0101001
[3,1,5,2,4,8,6,7] => [3,5,1,2,4,8,6,7] => [5,1,3,2,4,8,6,7] => 0101001
[3,5,1,2,4,8,6,7] => [5,1,3,2,4,8,6,7] => [3,5,1,2,4,8,6,7] => 0001001
[1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => 0101001
[1,3,5,2,4,8,6,7] => [1,5,3,2,4,8,6,7] => [1,3,5,2,4,8,6,7] => 0001001
[1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => [1,3,2,5,8,4,6,7] => 0100001
[1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => [1,3,8,2,5,4,6,7] => 0001001
[1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => [1,3,5,8,2,4,6,7] => 0000001
[3,1,5,2,4,6,8,7] => [3,5,1,2,4,6,8,7] => [5,1,3,2,4,6,8,7] => 0101001
[3,5,1,2,4,6,8,7] => [5,1,3,2,4,6,8,7] => [3,5,1,2,4,6,8,7] => 0001001
[3,1,2,5,4,6,8,7] => [3,1,2,5,4,6,8,7] => [3,1,2,5,4,6,8,7] => 0101001
[1,3,5,2,4,6,8,7] => [1,5,3,2,4,6,8,7] => [1,3,5,2,4,6,8,7] => 0001001
[3,1,2,5,6,8,4,7] => [3,1,2,8,5,6,4,7] => [3,1,2,5,6,8,4,7] => 0100001
[1,3,5,2,6,8,4,7] => [1,5,3,8,2,6,4,7] => [1,3,6,8,2,5,4,7] => 0001001
[1,3,5,6,8,2,4,7] => [1,8,3,2,5,6,4,7] => [1,3,5,6,8,2,4,7] => 0000001
[3,1,5,2,4,6,7,8] => [3,5,1,2,4,6,7,8] => [5,1,3,2,4,6,7,8] => 0101000
[3,5,1,2,4,6,7,8] => [5,1,3,2,4,6,7,8] => [3,5,1,2,4,6,7,8] => 0001000
[1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => [1,3,5,2,4,6,7,8] => 0001000
[1,3,5,6,2,4,7,8] => [1,6,3,2,5,4,7,8] => [1,3,5,6,2,4,7,8] => 0000100
[1,3,5,2,6,7,4,8] => [1,5,3,7,2,6,4,8] => [1,3,6,7,2,5,4,8] => 0001010
[1,3,5,6,2,7,4,8] => [1,6,3,7,5,2,4,8] => [1,3,5,7,2,6,4,8] => 0000110
[1,3,5,6,7,2,4,8] => [1,7,3,2,5,6,4,8] => [1,3,5,6,7,2,4,8] => 0000010
[3,1,2,5,6,7,8,4] => [3,1,2,8,5,6,7,4] => [3,1,2,5,6,7,8,4] => 0100001
[1,3,5,6,2,7,8,4] => [1,6,3,8,5,2,7,4] => [1,3,5,7,8,2,6,4] => 0000101
[1,3,5,6,7,8,2,4] => [1,8,3,2,5,6,7,4] => [1,3,5,6,7,8,2,4] => 0000001
[3,1,6,2,7,4,8,5] => [3,6,1,7,8,2,4,5] => [8,1,3,2,7,4,6,5] => 0100111
[3,6,7,1,2,4,8,5] => [7,1,3,2,8,6,4,5] => [3,6,8,1,2,4,7,5] => 0000011
[3,1,6,7,2,8,4,5] => [3,7,1,8,4,6,2,5] => [6,8,4,7,1,3,2,5] => 0100011
[3,6,1,7,2,8,4,5] => [6,7,3,8,4,1,2,5] => [3,8,4,7,1,6,2,5] => 0000111
[3,6,1,7,8,2,4,5] => [6,8,3,2,4,1,7,5] => [3,7,8,2,4,6,1,5] => 0000101
[3,6,7,1,8,2,4,5] => [7,8,3,2,4,6,1,5] => [3,6,8,2,4,7,1,5] => 0000011
[3,6,7,8,1,2,4,5] => [8,1,3,2,4,6,7,5] => [3,6,7,8,1,2,4,5] => 0000001
[3,1,6,2,7,4,5,8] => [3,6,1,7,4,2,5,8] => [7,4,6,1,3,2,5,8] => 0100110
[1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => [1,3,2,7,4,6,5,8] => 0100110
[1,3,6,2,4,7,5,8] => [1,6,3,2,7,4,5,8] => [1,3,7,2,4,6,5,8] => 0000110
[1,3,2,6,7,4,5,8] => [1,3,2,7,4,6,5,8] => [1,3,2,6,7,4,5,8] => 0100010
[1,3,6,2,7,4,5,8] => [1,6,3,7,4,2,5,8] => [1,3,7,4,6,2,5,8] => 0000110
[3,6,1,2,4,7,8,5] => [6,1,3,2,8,4,7,5] => [3,7,8,1,2,4,6,5] => 0000101
[3,1,2,6,4,7,8,5] => [3,1,2,6,8,4,7,5] => [3,1,2,7,8,4,6,5] => 0100101
[1,3,2,6,4,7,8,5] => [1,3,2,6,8,4,7,5] => [1,3,2,7,8,4,6,5] => 0100101
[3,1,2,6,7,4,8,5] => [3,1,2,7,8,6,4,5] => [3,1,2,6,8,4,7,5] => 0100011
[1,3,6,2,7,4,8,5] => [1,6,3,7,8,2,4,5] => [1,3,8,2,7,4,6,5] => 0000111
[1,3,6,7,2,4,8,5] => [1,7,3,2,8,6,4,5] => [1,3,6,8,2,4,7,5] => 0000011
[3,1,2,6,7,8,4,5] => [3,1,2,8,4,6,7,5] => [3,1,2,6,7,8,4,5] => 0100001
[1,3,2,6,7,8,4,5] => [1,3,2,8,4,6,7,5] => [1,3,2,6,7,8,4,5] => 0100001
[1,3,6,2,7,8,4,5] => [1,6,3,8,4,2,7,5] => [1,3,7,8,4,6,2,5] => 0000101
[1,3,6,7,8,2,4,5] => [1,8,3,2,4,6,7,5] => [1,3,6,7,8,2,4,5] => 0000001
[3,1,6,2,8,4,5,7] => [3,6,1,8,4,2,5,7] => [8,4,6,1,3,2,5,7] => 0100101
[3,6,8,1,2,4,5,7] => [8,1,3,2,4,6,5,7] => [3,6,8,1,2,4,5,7] => 0000001
[3,1,6,2,4,8,5,7] => [3,6,1,2,8,4,5,7] => [8,1,3,2,4,6,5,7] => 0100101
[1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => 0100101
[1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => [1,3,8,2,4,6,5,7] => 0000101
[1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,4,5,7] => 0100001
[1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => [1,3,8,4,6,2,5,7] => 0000101
[3,1,6,2,4,5,8,7] => [3,6,1,2,4,5,8,7] => [6,1,3,2,4,5,8,7] => 0100101
[3,6,1,2,4,5,8,7] => [6,1,3,2,4,5,8,7] => [3,6,1,2,4,5,8,7] => 0000101
[3,1,2,6,4,5,8,7] => [3,1,2,6,4,5,8,7] => [3,1,2,6,4,5,8,7] => 0100101
[3,1,2,4,6,5,8,7] => [3,1,2,4,6,5,8,7] => [3,1,2,4,6,5,8,7] => 0100101
[1,3,4,6,2,5,8,7] => [1,6,3,4,2,5,8,7] => [1,3,4,6,2,5,8,7] => 0000101
[3,1,2,4,6,8,5,7] => [3,1,2,4,8,6,5,7] => [3,1,2,4,6,8,5,7] => 0100001
[1,3,2,4,6,8,5,7] => [1,3,2,4,8,6,5,7] => [1,3,2,4,6,8,5,7] => 0100001
[1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => 0100100
[1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => [1,3,6,2,4,5,7,8] => 0000100
[1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => [1,3,4,6,2,5,7,8] => 0000100
[1,3,4,6,7,2,5,8] => [1,7,3,4,2,6,5,8] => [1,3,4,6,7,2,5,8] => 0000010
[3,1,2,4,6,7,8,5] => [3,1,2,4,8,6,7,5] => [3,1,2,4,6,7,8,5] => 0100001
[1,3,4,6,2,7,8,5] => [1,6,3,4,8,2,7,5] => [1,3,4,7,8,2,6,5] => 0000101
[1,3,4,6,7,8,2,5] => [1,8,3,4,2,6,7,5] => [1,3,4,6,7,8,2,5] => 0000001
[3,7,1,2,8,4,5,6] => [7,1,3,8,4,5,2,6] => [3,8,4,5,7,1,2,6] => 0000011
[3,1,7,8,2,4,5,6] => [3,8,1,2,4,5,7,6] => [7,8,1,3,2,4,5,6] => 0100001
[3,7,8,1,2,4,5,6] => [8,1,3,2,4,5,7,6] => [3,7,8,1,2,4,5,6] => 0000001
[3,7,1,2,4,8,5,6] => [7,1,3,2,8,5,4,6] => [3,8,5,7,1,2,4,6] => 0000011
[1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => [1,3,2,8,5,7,4,6] => 0100011
[3,1,2,7,8,4,5,6] => [3,1,2,8,4,5,7,6] => [3,1,2,7,8,4,5,6] => 0100001
[1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => [1,3,8,4,5,7,2,6] => 0000011
[1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => [1,3,7,8,2,4,5,6] => 0000001
[3,1,7,2,4,5,8,6] => [3,7,1,2,4,8,5,6] => [8,1,3,2,4,5,7,6] => 0100011
[3,7,1,2,4,5,8,6] => [7,1,3,2,4,8,5,6] => [3,8,1,2,4,5,7,6] => 0000011
[3,1,2,7,4,5,8,6] => [3,1,2,7,4,8,5,6] => [3,1,2,8,4,5,7,6] => 0100011
[1,3,2,7,4,5,8,6] => [1,3,2,7,4,8,5,6] => [1,3,2,8,4,5,7,6] => 0100011
[1,3,7,2,4,5,8,6] => [1,7,3,2,4,8,5,6] => [1,3,8,2,4,5,7,6] => 0000011
[3,1,2,4,7,5,8,6] => [3,1,2,4,7,8,5,6] => [3,1,2,4,8,5,7,6] => 0100011
[1,3,2,4,7,5,8,6] => [1,3,2,4,7,8,5,6] => [1,3,2,4,8,5,7,6] => 0100011
[1,3,4,2,7,5,8,6] => [1,4,3,2,7,8,5,6] => [1,3,4,2,8,5,7,6] => 0010011
[1,3,4,7,2,5,8,6] => [1,7,3,4,2,8,5,6] => [1,3,4,8,2,5,7,6] => 0000011
[3,1,2,4,7,8,5,6] => [3,1,2,4,8,5,7,6] => [3,1,2,4,7,8,5,6] => 0100001
[1,3,2,4,7,8,5,6] => [1,3,2,4,8,5,7,6] => [1,3,2,4,7,8,5,6] => 0100001
[1,3,4,7,2,8,5,6] => [1,7,3,4,8,5,2,6] => [1,3,4,8,5,7,2,6] => 0000011
[3,1,7,2,4,5,6,8] => [3,7,1,2,4,5,6,8] => [7,1,3,2,4,5,6,8] => 0100010
[3,7,1,2,4,5,6,8] => [7,1,3,2,4,5,6,8] => [3,7,1,2,4,5,6,8] => 0000010
[3,1,2,7,4,5,6,8] => [3,1,2,7,4,5,6,8] => [3,1,2,7,4,5,6,8] => 0100010
[1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => 0100010
[1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => [1,3,7,2,4,5,6,8] => 0000010
[3,1,2,4,7,5,6,8] => [3,1,2,4,7,5,6,8] => [3,1,2,4,7,5,6,8] => 0100010
[1,3,4,7,2,5,6,8] => [1,7,3,4,2,5,6,8] => [1,3,4,7,2,5,6,8] => 0000010
[3,1,2,4,5,7,6,8] => [3,1,2,4,5,7,6,8] => [3,1,2,4,5,7,6,8] => 0100010
[1,3,4,5,7,2,8,6] => [1,7,3,4,5,8,2,6] => [1,3,4,5,8,2,7,6] => 0000011
[1,3,4,5,7,8,2,6] => [1,8,3,4,5,2,7,6] => [1,3,4,5,7,8,2,6] => 0000001
[3,1,8,2,4,5,6,7] => [3,8,1,2,4,5,6,7] => [8,1,3,2,4,5,6,7] => 0100001
[3,8,1,2,4,5,6,7] => [8,1,3,2,4,5,6,7] => [3,8,1,2,4,5,6,7] => 0000001
[3,1,2,8,4,5,6,7] => [3,1,2,8,4,5,6,7] => [3,1,2,8,4,5,6,7] => 0100001
[1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => 0100001
[1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => [1,3,8,2,4,5,6,7] => 0000001
[3,1,2,4,8,5,6,7] => [3,1,2,4,8,5,6,7] => [3,1,2,4,8,5,6,7] => 0100001
[1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => 0100001
[1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => [1,3,4,2,8,5,6,7] => 0010001
[1,3,4,8,2,5,6,7] => [1,8,3,4,2,5,6,7] => [1,3,4,8,2,5,6,7] => 0000001
[3,1,2,4,5,8,6,7] => [3,1,2,4,5,8,6,7] => [3,1,2,4,5,8,6,7] => 0100001
[1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => 0100001
[1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => [1,3,4,2,5,8,6,7] => 0010001
[1,3,4,5,8,2,6,7] => [1,8,3,4,5,2,6,7] => [1,3,4,5,8,2,6,7] => 0000001
[3,1,2,4,5,6,8,7] => [3,1,2,4,5,6,8,7] => [3,1,2,4,5,6,8,7] => 0100001
[1,3,4,5,6,8,2,7] => [1,8,3,4,5,6,2,7] => [1,3,4,5,6,8,2,7] => 0000001
[4,1,5,2,6,3,8,7] => [4,5,6,1,2,3,8,7] => [6,1,5,2,4,3,8,7] => 0011101
[4,5,6,1,2,3,8,7] => [6,1,2,4,5,3,8,7] => [4,5,6,1,2,3,8,7] => 0000101
[4,1,5,2,6,8,3,7] => [4,5,8,1,2,6,3,7] => [6,8,1,5,2,4,3,7] => 0011001
[4,5,1,2,6,8,3,7] => [5,1,8,4,2,6,3,7] => [4,6,8,1,2,5,3,7] => 0001001
[4,5,1,6,2,8,3,7] => [5,6,8,4,1,2,3,7] => [4,8,1,6,2,5,3,7] => 0001101
[4,5,6,1,2,8,3,7] => [6,1,8,4,5,2,3,7] => [4,5,8,1,2,6,3,7] => 0000101
[4,1,5,6,8,2,3,7] => [4,8,2,1,5,6,3,7] => [5,6,8,2,4,1,3,7] => 0010001
[4,5,1,6,8,2,3,7] => [5,8,2,4,1,6,3,7] => [4,6,8,2,5,1,3,7] => 0001001
[4,5,6,8,1,2,3,7] => [8,1,2,4,5,6,3,7] => [4,5,6,8,1,2,3,7] => 0000001
[4,1,5,6,2,3,7,8] => [4,6,2,1,5,3,7,8] => [5,6,2,4,1,3,7,8] => 0010100
[4,5,1,6,2,3,7,8] => [5,6,2,4,1,3,7,8] => [4,6,2,5,1,3,7,8] => 0001100
[4,1,5,6,2,7,3,8] => [4,6,7,1,5,2,3,8] => [5,7,1,6,2,4,3,8] => 0010110
[4,5,1,6,2,7,3,8] => [5,6,7,4,1,2,3,8] => [4,7,1,6,2,5,3,8] => 0001110
[4,5,6,1,2,7,3,8] => [6,1,7,4,5,2,3,8] => [4,5,7,1,2,6,3,8] => 0000110
[4,5,1,6,7,2,3,8] => [5,7,2,4,1,6,3,8] => [4,6,7,2,5,1,3,8] => 0001010
[4,1,5,2,6,7,8,3] => [4,5,8,1,2,6,7,3] => [6,7,8,1,5,2,4,3] => 0011001
[4,5,1,6,7,2,8,3] => [5,7,8,4,1,6,2,3] => [4,6,8,1,7,2,5,3] => 0001011
[4,5,6,1,7,2,8,3] => [6,7,8,4,5,1,2,3] => [4,5,8,1,7,2,6,3] => 0000111
[4,1,5,6,7,8,2,3] => [4,8,2,1,5,6,7,3] => [5,6,7,8,2,4,1,3] => 0010001
[4,5,6,1,7,8,2,3] => [6,8,2,4,5,1,7,3] => [4,5,7,8,2,6,1,3] => 0000101
[4,1,5,2,7,3,8,6] => [4,5,7,1,2,8,3,6] => [8,1,5,2,4,3,7,6] => 0011011
[4,1,5,2,7,8,3,6] => [4,5,8,1,2,3,7,6] => [7,8,1,5,2,4,3,6] => 0011001
[4,5,1,2,7,8,3,6] => [5,1,8,4,2,3,7,6] => [4,7,8,1,2,5,3,6] => 0001001
[4,5,1,7,2,8,3,6] => [5,7,8,4,1,3,2,6] => [4,8,1,7,3,5,2,6] => 0001011
[4,5,1,7,8,2,3,6] => [5,8,2,4,1,3,7,6] => [4,7,8,2,5,1,3,6] => 0001001
[4,5,7,8,1,2,3,6] => [8,1,2,4,5,3,7,6] => [4,5,7,8,1,2,3,6] => 0000001
[4,5,1,2,7,3,6,8] => [5,1,7,4,2,3,6,8] => [4,7,1,2,5,3,6,8] => 0001010
[4,1,5,7,2,3,6,8] => [4,7,2,1,5,3,6,8] => [5,7,2,4,1,3,6,8] => 0010010
[4,5,1,2,3,7,6,8] => [5,1,2,4,3,7,6,8] => [4,5,1,2,3,7,6,8] => 0001010
[4,1,2,5,3,7,6,8] => [4,1,5,2,3,7,6,8] => [5,1,2,4,3,7,6,8] => 0011010
[1,4,2,5,3,7,6,8] => [1,4,5,2,3,7,6,8] => [1,5,2,4,3,7,6,8] => 0011010
[1,4,5,2,3,7,6,8] => [1,5,2,4,3,7,6,8] => [1,4,5,2,3,7,6,8] => 0001010
[1,4,2,5,7,3,6,8] => [1,4,7,2,5,3,6,8] => [1,5,7,2,4,3,6,8] => 0010010
[1,4,5,2,7,3,6,8] => [1,5,7,4,2,3,6,8] => [1,4,7,2,5,3,6,8] => 0001010
[1,4,5,7,2,3,6,8] => [1,7,2,4,5,3,6,8] => [1,4,5,7,2,3,6,8] => 0000010
[4,1,5,2,3,7,8,6] => [4,5,2,1,3,8,7,6] => [5,2,4,1,3,7,8,6] => 0011001
[4,1,2,5,3,7,8,6] => [4,1,5,2,3,8,7,6] => [5,1,2,4,3,7,8,6] => 0011001
[1,4,5,2,3,7,8,6] => [1,5,2,4,3,8,7,6] => [1,4,5,2,3,7,8,6] => 0001001
[4,1,2,5,7,3,8,6] => [4,1,7,2,5,8,3,6] => [5,8,1,2,4,3,7,6] => 0010011
[1,4,2,5,7,3,8,6] => [1,4,7,2,5,8,3,6] => [1,5,8,2,4,3,7,6] => 0010011
[1,4,5,7,2,3,8,6] => [1,7,2,4,5,8,3,6] => [1,4,5,8,2,3,7,6] => 0000011
[4,1,2,5,7,8,3,6] => [4,1,8,2,5,3,7,6] => [5,7,8,1,2,4,3,6] => 0010001
[4,5,1,2,8,3,6,7] => [5,1,8,4,2,3,6,7] => [4,8,1,2,5,3,6,7] => 0001001
[4,5,1,8,2,3,6,7] => [5,8,2,4,1,3,6,7] => [4,8,2,5,1,3,6,7] => 0001001
[4,5,8,1,2,3,6,7] => [8,1,2,4,5,3,6,7] => [4,5,8,1,2,3,6,7] => 0000001
[1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => [1,5,2,4,3,8,6,7] => 0011001
[1,4,5,2,3,8,6,7] => [1,5,2,4,3,8,6,7] => [1,4,5,2,3,8,6,7] => 0001001
[4,1,2,5,6,3,8,7] => [4,1,6,2,5,3,8,7] => [5,6,1,2,4,3,8,7] => 0010101
[1,4,5,6,2,8,3,7] => [1,6,8,4,5,2,3,7] => [1,4,5,8,2,6,3,7] => 0000101
[4,1,5,2,3,6,7,8] => [4,5,2,1,3,6,7,8] => [5,2,4,1,3,6,7,8] => 0011000
[4,1,2,5,3,6,7,8] => [4,1,5,2,3,6,7,8] => [5,1,2,4,3,6,7,8] => 0011000
[1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => 0011000
[1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => [1,4,5,2,3,6,7,8] => 0001000
[1,4,5,2,6,3,7,8] => [1,5,6,4,2,3,7,8] => [1,4,6,2,5,3,7,8] => 0001100
[1,4,5,6,2,3,7,8] => [1,6,2,4,5,3,7,8] => [1,4,5,6,2,3,7,8] => 0000100
[1,4,2,5,6,7,3,8] => [1,4,7,2,5,6,3,8] => [1,5,6,7,2,4,3,8] => 0010010
[1,4,5,6,2,7,3,8] => [1,6,7,4,5,2,3,8] => [1,4,5,7,2,6,3,8] => 0000110
[1,4,5,6,7,2,3,8] => [1,7,2,4,5,6,3,8] => [1,4,5,6,7,2,3,8] => 0000010
[4,1,2,5,6,7,8,3] => [4,1,8,2,5,6,7,3] => [5,6,7,8,1,2,4,3] => 0010001
[1,4,2,5,6,7,8,3] => [1,4,8,2,5,6,7,3] => [1,5,6,7,8,2,4,3] => 0010001
[1,4,5,6,2,7,8,3] => [1,6,8,4,5,2,7,3] => [1,4,5,7,8,2,6,3] => 0000101
[1,4,5,6,7,2,8,3] => [1,7,8,4,5,6,2,3] => [1,4,5,6,8,2,7,3] => 0000011
[1,4,5,6,7,8,2,3] => [1,8,2,4,5,6,7,3] => [1,4,5,6,7,8,2,3] => 0000001
[4,1,6,2,7,3,8,5] => [4,6,7,1,8,2,3,5] => [8,1,7,2,4,3,6,5] => 0010111
[4,6,1,2,7,3,8,5] => [6,1,7,4,8,2,3,5] => [4,8,1,2,7,3,6,5] => 0000111
[4,1,6,7,2,8,3,5] => [4,7,8,1,3,6,2,5] => [6,8,1,7,3,4,2,5] => 0010011
[4,6,1,7,2,8,3,5] => [6,7,8,4,3,1,2,5] => [4,8,3,7,1,6,2,5] => 0000111
[4,6,7,1,2,8,3,5] => [7,1,8,4,3,6,2,5] => [4,6,8,3,7,1,2,5] => 0000011
[4,1,6,7,8,2,3,5] => [4,8,2,1,3,6,7,5] => [6,7,8,2,4,1,3,5] => 0010001
[4,6,7,8,1,2,3,5] => [8,1,2,4,3,6,7,5] => [4,6,7,8,1,2,3,5] => 0000001
[4,1,6,2,7,3,5,8] => [4,6,7,1,3,2,5,8] => [7,1,6,3,4,2,5,8] => 0010110
[1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => [1,7,2,4,3,6,5,8] => 0010110
[1,4,6,2,3,7,5,8] => [1,6,2,4,7,3,5,8] => [1,4,7,2,3,6,5,8] => 0000110
[1,4,2,6,7,3,5,8] => [1,4,7,2,3,6,5,8] => [1,6,7,2,4,3,5,8] => 0010010
[1,4,6,2,7,3,5,8] => [1,6,7,4,3,2,5,8] => [1,4,7,3,6,2,5,8] => 0000110
[1,4,6,7,2,3,5,8] => [1,7,2,4,3,6,5,8] => [1,4,6,7,2,3,5,8] => 0000010
[4,1,6,2,3,7,8,5] => [4,6,2,1,8,3,7,5] => [7,8,2,4,1,3,6,5] => 0010101
[4,6,1,2,3,7,8,5] => [6,1,2,4,8,3,7,5] => [4,7,8,1,2,3,6,5] => 0000101
[4,1,2,6,3,7,8,5] => [4,1,6,2,8,3,7,5] => [7,8,1,2,4,3,6,5] => 0010101
[1,4,2,6,3,7,8,5] => [1,4,6,2,8,3,7,5] => [1,7,8,2,4,3,6,5] => 0010101
[1,4,2,6,7,3,8,5] => [1,4,7,2,8,6,3,5] => [1,6,8,2,4,3,7,5] => 0010011
[1,4,6,7,2,3,8,5] => [1,7,2,4,8,6,3,5] => [1,4,6,8,2,3,7,5] => 0000011
[1,4,2,6,7,8,3,5] => [1,4,8,2,3,6,7,5] => [1,6,7,8,2,4,3,5] => 0010001
[1,4,6,2,7,8,3,5] => [1,6,8,4,3,2,7,5] => [1,4,7,8,3,6,2,5] => 0000101
[4,1,6,8,2,3,5,7] => [4,8,2,1,3,6,5,7] => [6,8,2,4,1,3,5,7] => 0010001
[4,6,1,8,2,3,5,7] => [6,8,2,4,3,1,5,7] => [4,8,2,3,6,1,5,7] => 0000101
[4,6,8,1,2,3,5,7] => [8,1,2,4,3,6,5,7] => [4,6,8,1,2,3,5,7] => 0000001
[4,1,6,2,3,8,5,7] => [4,6,2,1,8,3,5,7] => [8,2,4,1,3,6,5,7] => 0010101
[4,6,1,2,3,8,5,7] => [6,1,2,4,8,3,5,7] => [4,8,1,2,3,6,5,7] => 0000101
[4,1,2,6,3,8,5,7] => [4,1,6,2,8,3,5,7] => [8,1,2,4,3,6,5,7] => 0010101
[1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => [1,8,2,4,3,6,5,7] => 0010101
[1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => [1,4,8,2,3,6,5,7] => 0000101
[4,1,2,6,8,3,5,7] => [4,1,8,2,3,6,5,7] => [6,8,1,2,4,3,5,7] => 0010001
[1,4,2,6,8,3,5,7] => [1,4,8,2,3,6,5,7] => [1,6,8,2,4,3,5,7] => 0010001
[1,4,6,2,8,3,5,7] => [1,6,8,4,3,2,5,7] => [1,4,8,3,6,2,5,7] => 0000101
[1,4,6,8,2,3,5,7] => [1,8,2,4,3,6,5,7] => [1,4,6,8,2,3,5,7] => 0000001
[4,1,6,2,3,5,8,7] => [4,6,2,1,3,5,8,7] => [6,2,4,1,3,5,8,7] => 0010101
[4,6,1,2,3,5,8,7] => [6,1,2,4,3,5,8,7] => [4,6,1,2,3,5,8,7] => 0000101
[4,1,2,6,3,5,8,7] => [4,1,6,2,3,5,8,7] => [6,1,2,4,3,5,8,7] => 0010101
[1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => 0010101
[1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => [1,4,6,2,3,5,8,7] => 0000101
[4,1,2,3,6,5,8,7] => [4,1,2,3,6,5,8,7] => [4,1,2,3,6,5,8,7] => 0010101
[1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => 0010101
[4,1,2,3,6,8,5,7] => [4,1,2,3,8,6,5,7] => [4,1,2,3,6,8,5,7] => 0010001
[1,2,4,3,6,8,5,7] => [1,2,4,3,8,6,5,7] => [1,2,4,3,6,8,5,7] => 0010001
[1,2,4,6,8,3,5,7] => [1,2,8,4,3,6,5,7] => [1,2,4,6,8,3,5,7] => 0000001
[4,1,6,2,3,5,7,8] => [4,6,2,1,3,5,7,8] => [6,2,4,1,3,5,7,8] => 0010100
[4,6,1,2,3,5,7,8] => [6,1,2,4,3,5,7,8] => [4,6,1,2,3,5,7,8] => 0000100
[4,1,2,6,3,5,7,8] => [4,1,6,2,3,5,7,8] => [6,1,2,4,3,5,7,8] => 0010100
[1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => 0010100
[1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => [1,4,6,2,3,5,7,8] => 0000100
[4,1,2,3,6,5,7,8] => [4,1,2,3,6,5,7,8] => [4,1,2,3,6,5,7,8] => 0010100
[1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => 0010100
[1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => [1,2,4,6,3,5,7,8] => 0000100
[4,1,2,3,6,7,5,8] => [4,1,2,3,7,6,5,8] => [4,1,2,3,6,7,5,8] => 0010010
[4,1,2,3,6,7,8,5] => [4,1,2,3,8,6,7,5] => [4,1,2,3,6,7,8,5] => 0010001
[1,2,4,6,7,3,8,5] => [1,2,7,4,8,6,3,5] => [1,2,4,6,8,3,7,5] => 0000011
[1,2,4,6,7,8,3,5] => [1,2,8,4,3,6,7,5] => [1,2,4,6,7,8,3,5] => 0000001
[4,7,1,2,8,3,5,6] => [7,1,8,4,3,5,2,6] => [4,8,3,5,7,1,2,6] => 0000011
[4,1,7,8,2,3,5,6] => [4,8,2,1,3,5,7,6] => [7,8,2,4,1,3,5,6] => 0010001
[4,7,1,8,2,3,5,6] => [7,8,2,4,3,5,1,6] => [4,8,2,3,5,7,1,6] => 0000011
[4,7,8,1,2,3,5,6] => [8,1,2,4,3,5,7,6] => [4,7,8,1,2,3,5,6] => 0000001
[4,1,7,2,3,8,5,6] => [4,7,2,1,8,5,3,6] => [8,5,7,2,4,1,3,6] => 0010011
[1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => [1,8,5,7,2,4,3,6] => 0010011
[1,4,7,2,3,8,5,6] => [1,7,2,4,8,5,3,6] => [1,4,8,5,7,2,3,6] => 0000011
[4,1,2,7,8,3,5,6] => [4,1,8,2,3,5,7,6] => [7,8,1,2,4,3,5,6] => 0010001
[1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => [1,7,8,2,4,3,5,6] => 0010001
[4,1,2,7,3,5,8,6] => [4,1,7,2,3,8,5,6] => [8,1,2,4,3,5,7,6] => 0010011
[1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => [1,4,8,2,3,5,7,6] => 0000011
[4,1,2,3,7,5,8,6] => [4,1,2,3,7,8,5,6] => [4,1,2,3,8,5,7,6] => 0010011
[1,4,2,3,7,5,8,6] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => 0010011
[1,2,4,3,7,5,8,6] => [1,2,4,3,7,8,5,6] => [1,2,4,3,8,5,7,6] => 0010011
[4,1,2,3,7,8,5,6] => [4,1,2,3,8,5,7,6] => [4,1,2,3,7,8,5,6] => 0010001
[1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => [1,4,2,3,7,8,5,6] => 0010001
[1,2,4,3,7,8,5,6] => [1,2,4,3,8,5,7,6] => [1,2,4,3,7,8,5,6] => 0010001
[1,2,4,7,3,8,5,6] => [1,2,7,4,8,5,3,6] => [1,2,4,8,5,7,3,6] => 0000011
[1,2,4,7,8,3,5,6] => [1,2,8,4,3,5,7,6] => [1,2,4,7,8,3,5,6] => 0000001
[4,7,1,2,3,5,6,8] => [7,1,2,4,3,5,6,8] => [4,7,1,2,3,5,6,8] => 0000010
[4,1,2,7,3,5,6,8] => [4,1,7,2,3,5,6,8] => [7,1,2,4,3,5,6,8] => 0010010
[1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => 0010010
[1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => [1,4,7,2,3,5,6,8] => 0000010
[4,1,2,3,7,5,6,8] => [4,1,2,3,7,5,6,8] => [4,1,2,3,7,5,6,8] => 0010010
[1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => 0010010
[1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => 0010010
[1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => [1,2,4,7,3,5,6,8] => 0000010
[4,1,2,3,5,7,6,8] => [4,1,2,3,5,7,6,8] => [4,1,2,3,5,7,6,8] => 0010010
[1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => 0010010
[4,1,2,3,5,7,8,6] => [4,1,2,3,5,8,7,6] => [4,1,2,3,5,7,8,6] => 0010001
[1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => [1,4,2,3,5,7,8,6] => 0010001
[1,2,4,5,7,3,8,6] => [1,2,7,4,5,8,3,6] => [1,2,4,5,8,3,7,6] => 0000011
[1,2,4,5,7,8,3,6] => [1,2,8,4,5,3,7,6] => [1,2,4,5,7,8,3,6] => 0000001
[4,1,8,2,3,5,6,7] => [4,8,2,1,3,5,6,7] => [8,2,4,1,3,5,6,7] => 0010001
[4,8,1,2,3,5,6,7] => [8,1,2,4,3,5,6,7] => [4,8,1,2,3,5,6,7] => 0000001
[4,1,2,8,3,5,6,7] => [4,1,8,2,3,5,6,7] => [8,1,2,4,3,5,6,7] => 0010001
[1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => 0010001
[1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => [1,4,8,2,3,5,6,7] => 0000001
[4,1,2,3,8,5,6,7] => [4,1,2,3,8,5,6,7] => [4,1,2,3,8,5,6,7] => 0010001
[1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => 0010001
[1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => 0010001
[1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => [1,2,4,8,3,5,6,7] => 0000001
[4,1,2,3,5,8,6,7] => [4,1,2,3,5,8,6,7] => [4,1,2,3,5,8,6,7] => 0010001
[1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => 0010001
[1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => 0010001
[1,2,4,5,3,8,6,7] => [1,2,5,4,3,8,6,7] => [1,2,4,5,3,8,6,7] => 0001001
[4,1,2,3,5,6,8,7] => [4,1,2,3,5,6,8,7] => [4,1,2,3,5,6,8,7] => 0010001
[1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => 0010001
[1,2,4,5,6,8,3,7] => [1,2,8,4,5,6,3,7] => [1,2,4,5,6,8,3,7] => 0000001
[1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => 0010000
[5,1,6,2,7,3,8,4] => [5,6,7,8,1,2,3,4] => [8,1,7,2,6,3,5,4] => 0001111
[5,6,1,2,7,3,8,4] => [6,1,7,8,5,2,3,4] => [5,8,1,2,7,3,6,4] => 0000111
[5,1,6,7,2,3,8,4] => [5,7,2,8,1,6,3,4] => [6,8,2,7,1,3,5,4] => 0001011
[5,6,1,7,2,3,8,4] => [6,7,2,8,5,1,3,4] => [5,8,2,7,1,3,6,4] => 0000111
[5,6,7,1,2,3,8,4] => [7,1,2,8,5,6,3,4] => [5,6,8,1,2,3,7,4] => 0000011
[5,1,6,2,7,8,3,4] => [5,6,8,3,1,2,7,4] => [7,8,3,6,1,5,2,4] => 0001101
[5,6,1,2,7,8,3,4] => [6,1,8,3,5,2,7,4] => [5,7,8,3,6,1,2,4] => 0000101
[5,1,6,7,2,8,3,4] => [5,7,8,3,1,6,2,4] => [6,8,3,7,1,5,2,4] => 0001011
[5,6,1,7,2,8,3,4] => [6,7,8,3,5,1,2,4] => [5,8,3,7,1,6,2,4] => 0000111
[5,6,1,7,8,2,3,4] => [6,8,2,3,5,1,7,4] => [5,7,8,2,3,6,1,4] => 0000101
[5,6,7,1,8,2,3,4] => [7,8,2,3,5,6,1,4] => [5,6,8,2,3,7,1,4] => 0000011
[5,1,6,2,7,3,4,8] => [5,6,7,3,1,2,4,8] => [7,3,6,1,5,2,4,8] => 0001110
[1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => [1,7,2,6,3,5,4,8] => 0001110
[1,5,6,2,3,7,4,8] => [1,6,2,7,5,3,4,8] => [1,5,7,2,3,6,4,8] => 0000110
[1,5,6,2,3,7,8,4] => [1,6,2,8,5,3,7,4] => [1,5,7,8,2,3,6,4] => 0000101
[1,5,6,2,7,3,8,4] => [1,6,7,8,5,2,3,4] => [1,5,8,2,7,3,6,4] => 0000111
[1,5,6,7,2,3,8,4] => [1,7,2,8,5,6,3,4] => [1,5,6,8,2,3,7,4] => 0000011
[5,1,2,6,7,8,3,4] => [5,1,8,3,2,6,7,4] => [6,7,8,3,5,1,2,4] => 0001001
[1,5,6,2,7,8,3,4] => [1,6,8,3,5,2,7,4] => [1,5,7,8,3,6,2,4] => 0000101
[1,5,6,7,2,8,3,4] => [1,7,8,3,5,6,2,4] => [1,5,6,8,3,7,2,4] => 0000011
[1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => [1,5,6,7,8,2,3,4] => 0000001
[5,1,6,8,2,3,4,7] => [5,8,2,3,1,6,4,7] => [6,8,2,3,5,1,4,7] => 0001001
[5,6,8,1,2,3,4,7] => [8,1,2,3,5,6,4,7] => [5,6,8,1,2,3,4,7] => 0000001
[5,1,6,2,3,8,4,7] => [5,6,2,8,1,3,4,7] => [8,2,6,1,3,5,4,7] => 0001101
[1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => [1,8,2,6,3,5,4,7] => 0001101
[1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => [1,5,8,2,3,6,4,7] => 0000101
[5,1,2,6,8,3,4,7] => [5,1,8,3,2,6,4,7] => [6,8,3,5,1,2,4,7] => 0001001
[1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => [1,5,6,8,2,3,4,7] => 0000001
[1,5,2,3,6,8,4,7] => [1,5,2,8,3,6,4,7] => [1,6,8,2,3,5,4,7] => 0001001
[1,2,5,3,6,8,4,7] => [1,2,5,8,3,6,4,7] => [1,2,6,8,3,5,4,7] => 0001001
[1,2,5,6,3,8,4,7] => [1,2,6,8,5,3,4,7] => [1,2,5,8,3,6,4,7] => 0000101
[1,2,5,6,8,3,4,7] => [1,2,8,3,5,6,4,7] => [1,2,5,6,8,3,4,7] => 0000001
[5,1,2,6,3,4,7,8] => [5,1,6,3,2,4,7,8] => [6,3,5,1,2,4,7,8] => 0001100
[1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => [1,6,3,5,2,4,7,8] => 0001100
[5,1,2,3,6,4,7,8] => [5,1,2,6,3,4,7,8] => [6,1,2,3,5,4,7,8] => 0001100
[1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => 0001100
[1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => [1,2,5,6,3,4,7,8] => 0000100
[1,5,2,3,6,7,4,8] => [1,5,2,7,3,6,4,8] => [1,6,7,2,3,5,4,8] => 0001010
[1,2,5,3,6,7,4,8] => [1,2,5,7,3,6,4,8] => [1,2,6,7,3,5,4,8] => 0001010
[1,2,5,6,3,7,4,8] => [1,2,6,7,5,3,4,8] => [1,2,5,7,3,6,4,8] => 0000110
[5,1,2,3,6,7,8,4] => [5,1,2,8,3,6,7,4] => [6,7,8,1,2,3,5,4] => 0001001
[1,5,2,3,6,7,8,4] => [1,5,2,8,3,6,7,4] => [1,6,7,8,2,3,5,4] => 0001001
[1,2,5,3,6,7,8,4] => [1,2,5,8,3,6,7,4] => [1,2,6,7,8,3,5,4] => 0001001
[1,2,5,6,3,7,8,4] => [1,2,6,8,5,3,7,4] => [1,2,5,7,8,3,6,4] => 0000101
[1,2,5,6,7,3,8,4] => [1,2,7,8,5,6,3,4] => [1,2,5,6,8,3,7,4] => 0000011
[1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => [1,2,5,6,7,8,3,4] => 0000001
[5,7,8,1,2,3,4,6] => [8,1,2,3,5,4,7,6] => [5,7,8,1,2,3,4,6] => 0000001
[5,1,2,7,3,8,4,6] => [5,1,7,8,2,4,3,6] => [8,1,2,7,4,5,3,6] => 0001011
[1,5,2,7,3,8,4,6] => [1,5,7,8,2,4,3,6] => [1,8,2,7,4,5,3,6] => 0001011
[1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => [1,5,8,4,7,2,3,6] => 0000011
[5,1,2,7,8,3,4,6] => [5,1,8,3,2,4,7,6] => [7,8,3,5,1,2,4,6] => 0001001
[1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => [1,7,8,3,5,2,4,6] => 0001001
[1,5,7,2,8,3,4,6] => [1,7,8,3,5,4,2,6] => [1,5,8,3,4,7,2,6] => 0000011
[5,7,1,2,3,4,8,6] => [7,1,2,3,5,8,4,6] => [5,8,1,2,3,4,7,6] => 0000011
[5,1,2,7,3,4,8,6] => [5,1,7,3,2,8,4,6] => [8,3,5,1,2,4,7,6] => 0001011
[1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => [1,5,8,2,3,4,7,6] => 0000011
[5,1,2,3,7,4,8,6] => [5,1,2,7,3,8,4,6] => [8,1,2,3,5,4,7,6] => 0001011
[1,2,5,3,7,4,8,6] => [1,2,5,7,3,8,4,6] => [1,2,8,3,5,4,7,6] => 0001011
[1,2,5,7,3,4,8,6] => [1,2,7,3,5,8,4,6] => [1,2,5,8,3,4,7,6] => 0000011
[1,2,5,3,7,8,4,6] => [1,2,5,8,3,4,7,6] => [1,2,7,8,3,5,4,6] => 0001001
[1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => [1,2,5,8,4,7,3,6] => 0000011
[1,2,5,7,8,3,4,6] => [1,2,8,3,5,4,7,6] => [1,2,5,7,8,3,4,6] => 0000001
[5,7,1,2,3,4,6,8] => [7,1,2,3,5,4,6,8] => [5,7,1,2,3,4,6,8] => 0000010
[5,1,2,7,3,4,6,8] => [5,1,7,3,2,4,6,8] => [7,3,5,1,2,4,6,8] => 0001010
[1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => [1,7,3,5,2,4,6,8] => 0001010
[1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => [1,5,7,2,3,4,6,8] => 0000010
[5,1,2,3,7,4,6,8] => [5,1,2,7,3,4,6,8] => [7,1,2,3,5,4,6,8] => 0001010
[1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => [1,7,2,3,5,4,6,8] => 0001010
[1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => 0001010
[1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => [1,2,5,7,3,4,6,8] => 0000010
[1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => 0001010
[1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => 0001010
[1,2,3,5,7,4,6,8] => [1,2,3,7,5,4,6,8] => [1,2,3,5,7,4,6,8] => 0000010
[5,1,2,3,4,7,8,6] => [5,1,2,3,4,8,7,6] => [5,1,2,3,4,7,8,6] => 0001001
[1,5,2,3,4,7,8,6] => [1,5,2,3,4,8,7,6] => [1,5,2,3,4,7,8,6] => 0001001
[1,2,5,3,4,7,8,6] => [1,2,5,3,4,8,7,6] => [1,2,5,3,4,7,8,6] => 0001001
[1,2,3,5,7,4,8,6] => [1,2,3,7,5,8,4,6] => [1,2,3,5,8,4,7,6] => 0000011
[1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => [1,2,3,5,7,8,4,6] => 0000001
[5,1,8,2,3,4,6,7] => [5,8,2,3,1,4,6,7] => [8,2,3,5,1,4,6,7] => 0001001
[5,8,1,2,3,4,6,7] => [8,1,2,3,5,4,6,7] => [5,8,1,2,3,4,6,7] => 0000001
[5,1,2,8,3,4,6,7] => [5,1,8,3,2,4,6,7] => [8,3,5,1,2,4,6,7] => 0001001
[1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => [1,5,8,2,3,4,6,7] => 0000001
[5,1,2,3,8,4,6,7] => [5,1,2,8,3,4,6,7] => [8,1,2,3,5,4,6,7] => 0001001
[1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => [1,8,2,3,5,4,6,7] => 0001001
[1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => 0001001
[1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => [1,2,5,8,3,4,6,7] => 0000001
[5,1,2,3,4,8,6,7] => [5,1,2,3,4,8,6,7] => [5,1,2,3,4,8,6,7] => 0001001
[1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => 0001001
[1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => 0001001
[1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => 0001001
[1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => [1,2,3,5,8,4,6,7] => 0000001
[5,1,2,3,4,6,8,7] => [5,1,2,3,4,6,8,7] => [5,1,2,3,4,6,8,7] => 0001001
[1,5,2,3,4,6,8,7] => [1,5,2,3,4,6,8,7] => [1,5,2,3,4,6,8,7] => 0001001
[1,2,5,3,4,6,8,7] => [1,2,5,3,4,6,8,7] => [1,2,5,3,4,6,8,7] => 0001001
[1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => [1,2,3,5,6,8,4,7] => 0000001
[1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => 0001000
[1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => 0001000
[6,1,7,2,8,3,4,5] => [6,7,8,3,4,1,2,5] => [8,3,4,7,1,6,2,5] => 0000111
[6,1,7,8,2,3,4,5] => [6,8,2,3,4,1,7,5] => [7,8,2,3,4,6,1,5] => 0000101
[6,7,1,8,2,3,4,5] => [7,8,2,3,4,6,1,5] => [6,8,2,3,4,7,1,5] => 0000011
[6,1,7,2,3,8,4,5] => [6,7,2,8,4,1,3,5] => [8,4,7,2,6,1,3,5] => 0000111
[1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => [1,8,4,7,2,6,3,5] => 0000111
[1,6,7,2,3,8,4,5] => [1,7,2,8,4,6,3,5] => [1,6,8,4,7,2,3,5] => 0000011
[6,1,2,7,8,3,4,5] => [6,1,8,3,4,2,7,5] => [7,8,3,4,6,1,2,5] => 0000101
[1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => [1,6,7,8,2,3,4,5] => 0000001
[6,7,1,2,3,4,8,5] => [7,1,2,3,8,6,4,5] => [6,8,1,2,3,4,7,5] => 0000011
[6,1,2,7,3,4,8,5] => [6,1,7,3,8,2,4,5] => [8,3,7,1,2,4,6,5] => 0000111
[1,6,7,2,3,4,8,5] => [1,7,2,3,8,6,4,5] => [1,6,8,2,3,4,7,5] => 0000011
[1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => [1,2,8,3,7,4,6,5] => 0000111
[1,2,6,7,3,4,8,5] => [1,2,7,3,8,6,4,5] => [1,2,6,8,3,4,7,5] => 0000011
[6,1,2,3,7,8,4,5] => [6,1,2,8,4,3,7,5] => [7,8,4,6,1,2,3,5] => 0000101
[1,6,2,3,7,8,4,5] => [1,6,2,8,4,3,7,5] => [1,7,8,4,6,2,3,5] => 0000101
[1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => [1,2,7,8,4,6,3,5] => 0000101
[1,2,6,7,3,8,4,5] => [1,2,7,8,4,6,3,5] => [1,2,6,8,4,7,3,5] => 0000011
[1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,3,4,5] => 0000001
[6,1,2,7,3,4,5,8] => [6,1,7,3,4,2,5,8] => [7,3,4,6,1,2,5,8] => 0000110
[1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => [1,6,7,2,3,4,5,8] => 0000010
[1,2,6,7,3,4,5,8] => [1,2,7,3,4,6,5,8] => [1,2,6,7,3,4,5,8] => 0000010
[6,1,2,3,4,7,5,8] => [6,1,2,3,7,4,5,8] => [7,1,2,3,4,6,5,8] => 0000110
[1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => [1,7,2,3,4,6,5,8] => 0000110
[1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => [1,2,7,3,4,6,5,8] => 0000110
[1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => 0000110
[1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => [1,2,3,6,7,4,5,8] => 0000010
[6,1,2,3,4,7,8,5] => [6,1,2,3,8,4,7,5] => [7,8,1,2,3,4,6,5] => 0000101
[1,2,6,3,4,7,8,5] => [1,2,6,3,8,4,7,5] => [1,2,7,8,3,4,6,5] => 0000101
[1,2,3,6,4,7,8,5] => [1,2,3,6,8,4,7,5] => [1,2,3,7,8,4,6,5] => 0000101
[1,2,3,6,7,4,8,5] => [1,2,3,7,8,6,4,5] => [1,2,3,6,8,4,7,5] => 0000011
[1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => [1,2,3,6,7,8,4,5] => 0000001
[6,1,8,2,3,4,5,7] => [6,8,2,3,4,1,5,7] => [8,2,3,4,6,1,5,7] => 0000101
[6,8,1,2,3,4,5,7] => [8,1,2,3,4,6,5,7] => [6,8,1,2,3,4,5,7] => 0000001
[6,1,2,8,3,4,5,7] => [6,1,8,3,4,2,5,7] => [8,3,4,6,1,2,5,7] => 0000101
[1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => [1,6,8,2,3,4,5,7] => 0000001
[1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => [1,2,8,4,6,3,5,7] => 0000101
[1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => [1,2,6,8,3,4,5,7] => 0000001
[6,1,2,3,4,8,5,7] => [6,1,2,3,8,4,5,7] => [8,1,2,3,4,6,5,7] => 0000101
[1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => [1,8,2,3,4,6,5,7] => 0000101
[1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => [1,2,8,3,4,6,5,7] => 0000101
[1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => 0000101
[1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,4,5,7] => 0000001
[6,1,2,3,4,5,8,7] => [6,1,2,3,4,5,8,7] => [6,1,2,3,4,5,8,7] => 0000101
[1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => 0000101
[1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => 0000101
[1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => 0000101
[1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => [1,2,3,4,6,8,5,7] => 0000001
[1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => 0000100
[1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => 0000100
[1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => 0000100
[7,1,8,2,3,4,5,6] => [7,8,2,3,4,5,1,6] => [8,2,3,4,5,7,1,6] => 0000011
[7,1,2,8,3,4,5,6] => [7,1,8,3,4,5,2,6] => [8,3,4,5,7,1,2,6] => 0000011
[1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => [1,8,3,4,5,7,2,6] => 0000011
[1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => [1,7,8,2,3,4,5,6] => 0000001
[1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => [1,8,4,5,7,2,3,6] => 0000011
[1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => [1,2,8,4,5,7,3,6] => 0000011
[1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => [1,2,7,8,3,4,5,6] => 0000001
[7,1,2,3,4,8,5,6] => [7,1,2,3,8,5,4,6] => [8,5,7,1,2,3,4,6] => 0000011
[1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => [1,8,5,7,2,3,4,6] => 0000011
[1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => [1,2,8,5,7,3,4,6] => 0000011
[1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => [1,2,3,8,5,7,4,6] => 0000011
[1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,4,5,6] => 0000001
[7,1,2,3,4,5,8,6] => [7,1,2,3,4,8,5,6] => [8,1,2,3,4,5,7,6] => 0000011
[1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => [1,8,2,3,4,5,7,6] => 0000011
[1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => [1,2,8,3,4,5,7,6] => 0000011
[1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => [1,2,3,8,4,5,7,6] => 0000011
[1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => 0000011
[1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,5,6] => 0000001
[1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => 0000010
[1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => 0000010
[1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => 0000010
[1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => 0000010
[1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => 0000001
[1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => 0000001
[1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => 0000001
[1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => 0000001
[1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => 0000001
[5,3,2,6,1,4,8,7] => [6,3,5,1,2,4,8,7] => [5,3,1,6,2,4,8,7] => 0101101
[7,3,2,5,4,8,1,6] => [8,3,7,5,2,1,4,6] => [5,3,2,7,1,8,4,6] => 0101011
[8,4,5,2,3,7,6,1] => [6,5,2,7,1,8,3,4] => [8,2,5,1,3,7,6,4] => 0001111
[7,4,5,2,3,8,1,6] => [8,5,2,7,4,1,3,6] => [7,4,5,2,8,1,3,6] => 0001011
[6,4,5,2,3,1,8,7] => [3,5,2,6,4,1,8,7] => [6,4,5,2,3,1,8,7] => 0101101
[5,4,6,2,1,3,8,7] => [2,6,1,5,4,3,8,7] => [5,4,6,2,1,3,8,7] => 1001101
[4,6,5,1,3,2,8,7] => [5,3,1,4,6,2,8,7] => [3,1,4,6,5,2,8,7] => 0101101
[5,6,4,3,1,2,8,7] => [3,1,4,6,5,2,8,7] => [5,6,4,3,1,2,8,7] => 0110101
[7,5,4,3,2,8,1,6] => [8,3,4,5,7,1,2,6] => [7,5,4,3,1,8,2,6] => 0111011
[8,6,4,3,7,2,5,1] => [5,7,4,6,2,8,3,1] => [8,6,4,2,7,3,5,1] => 0011111
[7,6,4,3,8,2,1,5] => [2,8,4,6,1,7,3,5] => [7,6,4,2,1,8,3,5] => 1010111
[5,7,4,3,1,8,2,6] => [3,4,7,8,5,2,1,6] => [5,8,2,7,4,3,1,6] => 0110011
[4,7,5,1,3,8,2,6] => [5,7,2,4,8,1,3,6] => [4,8,2,7,5,1,3,6] => 0001011
[3,7,1,5,4,8,2,6] => [7,8,3,5,1,2,4,6] => [3,5,1,8,2,7,4,6] => 0001011
[2,1,7,5,4,8,3,6] => [2,1,8,5,7,3,4,6] => [2,1,7,5,3,8,4,6] => 1001011
[4,8,5,1,3,7,6,2] => [5,8,2,4,6,7,3,1] => [4,7,6,2,3,8,5,1] => 0001111
[5,8,4,3,1,7,6,2] => [3,4,8,6,5,7,1,2] => [5,7,6,1,8,4,3,2] => 0110111
[6,8,4,3,7,1,5,2] => [7,5,4,8,1,6,3,2] => [6,8,4,1,5,3,7,2] => 0011011
[7,8,4,3,6,5,1,2] => [5,1,4,6,8,2,7,3] => [7,8,4,1,2,6,5,3] => 0011101
[6,8,5,7,3,1,4,2] => [3,7,4,2,8,6,5,1] => [4,2,6,8,5,7,3,1] => 0110011
[5,8,6,7,1,3,4,2] => [7,4,1,3,5,8,6,2] => [4,1,3,5,8,6,7,2] => 0010011
[2,1,8,6,7,4,5,3] => [2,1,5,7,4,8,6,3] => [2,1,8,6,7,4,5,3] => 1001011
[2,1,7,6,8,4,3,5] => [2,1,4,8,3,7,6,5] => [2,1,7,6,8,4,3,5] => 1010011
[5,7,6,8,1,3,2,4] => [8,3,1,2,5,7,6,4] => [3,1,5,7,6,8,2,4] => 0100011
[6,4,7,2,8,1,3,5] => [8,7,1,6,3,4,2,5] => [6,1,3,7,4,8,2,5] => 0000111
[7,4,6,2,8,3,1,5] => [3,8,6,7,2,4,1,5] => [7,2,6,4,8,3,1,5] => 0100111
[8,4,6,2,7,3,5,1] => [5,6,7,8,3,4,2,1] => [8,3,7,4,6,2,5,1] => 0001111
[7,3,2,6,8,4,1,5] => [4,3,8,7,2,1,6,5] => [7,3,2,6,8,4,1,5] => 0110011
[5,3,2,7,1,8,4,6] => [7,3,5,8,2,4,1,6] => [8,3,2,5,4,7,1,6] => 0101011
[4,3,2,1,7,8,5,6] => [2,3,4,1,8,5,7,6] => [4,3,2,1,7,8,5,6] => 1110001
[3,4,1,2,8,7,6,5] => [4,1,3,2,6,7,8,5] => [3,4,1,2,8,7,6,5] => 0010111
[8,4,7,2,6,5,3,1] => [3,5,6,7,8,4,2,1] => [8,4,7,2,6,5,3,1] => 0101111
[7,4,8,2,6,5,1,3] => [5,6,2,8,7,4,1,3] => [7,4,8,2,6,5,1,3] => 0001111
[4,5,8,1,2,7,6,3] => [8,1,6,4,5,7,2,3] => [4,5,7,6,1,2,8,3] => 0000111
[3,5,1,8,2,7,6,4] => [5,8,3,6,1,7,2,4] => [3,7,6,1,8,2,5,4] => 0001111
[2,1,5,8,3,7,6,4] => [2,1,8,6,5,7,3,4] => [2,1,5,7,6,3,8,4] => 1000111
[2,1,6,8,7,3,5,4] => [2,1,7,5,3,6,8,4] => [2,1,5,3,6,8,7,4] => 1001011
[4,6,8,1,7,2,5,3] => [8,7,5,4,2,6,1,3] => [4,5,2,6,7,1,8,3] => 0001011
[5,6,8,7,1,2,4,3] => [7,1,4,2,5,6,8,3] => [4,1,2,5,6,8,7,3] => 0010011
[6,5,8,7,2,1,4,3] => [2,7,4,1,6,5,8,3] => [4,2,1,6,5,8,7,3] => 1010111
[7,5,8,6,2,4,1,3] => [4,6,1,2,8,7,3,5] => [7,1,4,2,3,8,6,5] => 0010111
[8,5,7,6,2,4,3,1] => [3,4,6,1,7,8,2,5] => [8,1,4,3,2,7,6,5] => 0110111
[5,7,8,6,1,4,2,3] => [6,4,2,1,5,8,7,3] => [4,2,5,7,8,6,1,3] => 0010101
[4,7,8,1,6,5,2,3] => [8,5,2,4,6,1,7,3] => [4,6,5,2,7,8,1,3] => 0001101
[3,7,1,8,6,5,2,4] => [7,5,3,2,6,8,1,4] => [3,8,6,5,2,7,1,4] => 0001111
[2,1,7,8,6,5,3,4] => [2,1,5,3,6,8,7,4] => [2,1,7,8,6,5,3,4] => 1001101
[4,8,7,1,6,5,3,2] => [7,3,5,4,6,1,8,2] => [4,6,5,3,1,8,7,2] => 0101111
[6,8,7,5,4,1,3,2] => [4,3,1,5,7,6,8,2] => [3,1,6,8,7,5,4,2] => 0111011
[2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => 101010101
[3,4,1,2,6,5,8,7,10,9] => [4,1,3,2,6,5,8,7,10,9] => [3,4,1,2,6,5,8,7,10,9] => 001010101
[4,3,2,1,6,5,8,7,10,9] => [2,3,4,1,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,10,9] => 111010101
[4,5,6,1,2,3,8,7,10,9] => [6,1,2,4,5,3,8,7,10,9] => [4,5,6,1,2,3,8,7,10,9] => 000010101
[2,1,5,6,3,4,8,7,10,9] => [2,1,6,3,5,4,8,7,10,9] => [2,1,5,6,3,4,8,7,10,9] => 100010101
[2,1,6,5,4,3,8,7,10,9] => [2,1,4,5,6,3,8,7,10,9] => [2,1,6,5,4,3,8,7,10,9] => 101110101
[6,5,4,3,2,1,8,7,10,9] => [2,3,4,5,6,1,8,7,10,9] => [6,5,4,3,2,1,8,7,10,9] => 111110101
[5,6,7,8,1,2,3,4,10,9] => [8,1,2,3,5,6,7,4,10,9] => [5,6,7,8,1,2,3,4,10,9] => 000000101
[2,1,6,7,8,3,4,5,10,9] => [2,1,8,3,4,6,7,5,10,9] => [2,1,6,7,8,3,4,5,10,9] => 100000101
[3,4,1,2,7,8,5,6,10,9] => [4,1,3,2,8,5,7,6,10,9] => [3,4,1,2,7,8,5,6,10,9] => 001000101
[2,1,4,3,7,8,5,6,10,9] => [2,1,4,3,8,5,7,6,10,9] => [2,1,4,3,7,8,5,6,10,9] => 101000101
[2,1,4,3,8,7,6,5,10,9] => [2,1,4,3,6,7,8,5,10,9] => [2,1,4,3,8,7,6,5,10,9] => 101011101
[4,3,2,1,8,7,6,5,10,9] => [2,3,4,1,6,7,8,5,10,9] => [4,3,2,1,8,7,6,5,10,9] => 111011101
[2,1,8,7,6,5,4,3,10,9] => [2,1,4,5,6,7,8,3,10,9] => [2,1,8,7,6,5,4,3,10,9] => 101111101
[8,7,6,5,4,3,2,1,10,9] => [2,3,4,5,6,7,8,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => 111111101
[10,8,9,6,7,4,5,2,3,1] => [3,5,2,7,4,9,6,10,8,1] => [10,8,9,6,7,4,5,2,3,1] => 010101011
[2,1,7,8,9,10,3,4,5,6] => [2,1,10,3,4,5,7,8,9,6] => [2,1,7,8,9,10,3,4,5,6] => 100000001
[6,7,8,9,10,1,2,3,4,5] => [10,1,2,3,4,6,7,8,9,5] => [6,7,8,9,10,1,2,3,4,5] => 000000001
[3,4,1,2,8,9,10,5,6,7] => [4,1,3,2,10,5,6,8,9,7] => [3,4,1,2,8,9,10,5,6,7] => 001000001
[2,1,4,3,8,9,10,5,6,7] => [2,1,4,3,10,5,6,8,9,7] => [2,1,4,3,8,9,10,5,6,7] => 101000001
[2,1,5,6,3,4,9,10,7,8] => [2,1,6,3,5,4,10,7,9,8] => [2,1,5,6,3,4,9,10,7,8] => 100010001
[4,5,6,1,2,3,9,10,7,8] => [6,1,2,4,5,3,10,7,9,8] => [4,5,6,1,2,3,9,10,7,8] => 000010001
[3,4,1,2,6,5,9,10,7,8] => [4,1,3,2,6,5,10,7,9,8] => [3,4,1,2,6,5,9,10,7,8] => 001010001
[2,1,4,3,6,5,9,10,7,8] => [2,1,4,3,6,5,10,7,9,8] => [2,1,4,3,6,5,9,10,7,8] => 101010001
[2,1,4,3,6,5,10,9,8,7] => [2,1,4,3,6,5,8,9,10,7] => [2,1,4,3,6,5,10,9,8,7] => 101010111
[4,3,2,1,6,5,10,9,8,7] => [2,3,4,1,6,5,8,9,10,7] => [4,3,2,1,6,5,10,9,8,7] => 111010111
[2,1,6,5,4,3,10,9,8,7] => [2,1,4,5,6,3,8,9,10,7] => [2,1,6,5,4,3,10,9,8,7] => 101110111
[6,5,4,3,2,1,10,9,8,7] => [2,3,4,5,6,1,8,9,10,7] => [6,5,4,3,2,1,10,9,8,7] => 111110111
[2,1,4,3,10,9,8,7,6,5] => [2,1,4,3,6,7,8,9,10,5] => [2,1,4,3,10,9,8,7,6,5] => 101011111
[4,3,2,1,10,9,8,7,6,5] => [2,3,4,1,6,7,8,9,10,5] => [4,3,2,1,10,9,8,7,6,5] => 111011111
[2,1,10,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,10,3] => [2,1,10,9,8,7,6,5,4,3] => 101111111
[10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1] => [10,9,8,7,6,5,4,3,2,1] => 111111111
[3,2,5,1,4,6,7,8] => [5,3,2,1,4,6,7,8] => [3,2,5,1,4,6,7,8] => 0101000
[4,2,5,1,3,6,7,8] => [5,4,1,2,3,6,7,8] => [4,1,5,2,3,6,7,8] => 0011000
[5,2,4,1,3,6,7,8] => [4,5,1,2,3,6,7,8] => [5,1,4,2,3,6,7,8] => 0011000
[3,2,6,1,4,5,7,8] => [6,3,2,1,4,5,7,8] => [3,2,6,1,4,5,7,8] => 0100100
[4,2,6,1,3,5,7,8] => [6,4,1,2,3,5,7,8] => [4,1,6,2,3,5,7,8] => 0010100
[5,3,6,1,2,4,7,8] => [6,1,5,2,3,4,7,8] => [5,1,2,6,3,4,7,8] => 0001100
[6,2,4,1,3,5,7,8] => [4,6,1,2,3,5,7,8] => [6,1,4,2,3,5,7,8] => 0010100
[6,3,5,1,2,4,7,8] => [5,1,6,2,3,4,7,8] => [6,1,2,5,3,4,7,8] => 0001100
[4,2,7,1,3,5,6,8] => [7,4,1,2,3,5,6,8] => [4,1,7,2,3,5,6,8] => 0010010
[5,2,7,1,3,4,6,8] => [7,5,1,3,2,4,6,8] => [5,1,3,7,2,4,6,8] => 0001010
[6,2,7,1,3,4,5,8] => [7,6,1,3,4,2,5,8] => [6,1,3,4,7,2,5,8] => 0000110
[6,4,7,1,2,3,5,8] => [7,1,2,6,3,4,5,8] => [6,1,2,3,7,4,5,8] => 0000110
[7,2,5,1,3,4,6,8] => [5,7,1,3,2,4,6,8] => [7,1,3,5,2,4,6,8] => 0001010
[7,3,5,1,2,4,6,8] => [5,1,7,2,3,4,6,8] => [7,1,2,5,3,4,6,8] => 0001010
[7,4,6,1,2,3,5,8] => [6,1,2,7,3,4,5,8] => [7,1,2,3,6,4,5,8] => 0000110
[3,2,8,1,4,5,6,7] => [8,3,2,1,4,5,6,7] => [3,2,8,1,4,5,6,7] => 0100001
[4,2,8,1,3,5,6,7] => [8,4,1,2,3,5,6,7] => [4,1,8,2,3,5,6,7] => 0010001
[5,2,8,1,3,4,6,7] => [8,5,1,3,2,4,6,7] => [5,1,3,8,2,4,6,7] => 0001001
[5,3,8,1,2,4,6,7] => [8,1,5,2,3,4,6,7] => [5,1,2,8,3,4,6,7] => 0001001
[5,4,8,1,2,3,6,7] => [8,1,2,5,4,3,6,7] => [5,4,8,1,2,3,6,7] => 0001001
[6,2,8,1,3,4,5,7] => [8,6,1,3,4,2,5,7] => [6,1,3,4,8,2,5,7] => 0000101
[6,3,8,1,2,4,5,7] => [8,1,6,2,4,3,5,7] => [6,1,2,4,8,3,5,7] => 0000101
[6,4,8,1,2,3,5,7] => [8,1,2,6,3,4,5,7] => [6,1,2,3,8,4,5,7] => 0000101
[6,5,8,1,2,3,4,7] => [8,1,2,3,6,5,4,7] => [6,5,8,1,2,3,4,7] => 0000101
[7,2,8,1,3,4,5,6] => [8,7,1,3,4,5,2,6] => [7,1,3,4,5,8,2,6] => 0000011
[7,4,8,1,2,3,5,6] => [8,1,2,7,3,5,4,6] => [7,1,2,3,5,8,4,6] => 0000011
[7,5,8,1,2,3,4,6] => [8,1,2,3,7,4,5,6] => [7,1,2,3,4,8,5,6] => 0000011
[8,2,4,1,3,5,6,7] => [4,8,1,2,3,5,6,7] => [8,1,4,2,3,5,6,7] => 0010001
[8,3,5,1,2,4,6,7] => [5,1,8,2,3,4,6,7] => [8,1,2,5,3,4,6,7] => 0001001
[8,2,6,1,3,4,5,7] => [6,8,1,3,4,2,5,7] => [8,1,3,4,6,2,5,7] => 0000101
[8,3,6,1,2,4,5,7] => [6,1,8,2,4,3,5,7] => [8,1,2,4,6,3,5,7] => 0000101
[8,4,6,1,2,3,5,7] => [6,1,2,8,3,4,5,7] => [8,1,2,3,6,4,5,7] => 0000101
[8,4,7,1,2,3,5,6] => [7,1,2,8,3,5,4,6] => [8,1,2,3,5,7,4,6] => 0000011
[8,5,7,1,2,3,4,6] => [7,1,2,3,8,4,5,6] => [8,1,2,3,4,7,5,6] => 0000011
[3,2,5,7,1,4,6,8] => [7,3,2,1,5,4,6,8] => [3,2,5,7,1,4,6,8] => 0100010
[5,2,4,7,1,3,6,8] => [7,5,1,2,4,3,6,8] => [5,1,4,7,2,3,6,8] => 0001010
[5,3,6,7,1,2,4,8] => [7,1,5,2,3,6,4,8] => [5,1,2,6,7,3,4,8] => 0001010
[6,2,4,7,1,3,5,8] => [7,6,1,2,3,4,5,8] => [6,1,7,2,3,4,5,8] => 0000110
[7,2,4,6,1,3,5,8] => [6,7,1,2,3,4,5,8] => [7,1,6,2,3,4,5,8] => 0000110
[7,3,4,6,1,2,5,8] => [6,1,7,3,2,4,5,8] => [7,3,6,1,2,4,5,8] => 0000110
[3,2,5,8,1,4,6,7] => [8,3,2,1,5,4,6,7] => [3,2,5,8,1,4,6,7] => 0100001
[4,2,5,8,1,3,6,7] => [8,4,1,2,5,3,6,7] => [4,1,5,8,2,3,6,7] => 0010001
[4,3,5,8,1,2,6,7] => [8,1,4,3,5,2,6,7] => [4,3,5,8,1,2,6,7] => 0010001
[3,2,6,8,1,4,5,7] => [8,3,2,1,4,6,5,7] => [3,2,6,8,1,4,5,7] => 0100001
[4,3,6,8,1,2,5,7] => [8,1,4,3,2,6,5,7] => [4,3,6,8,1,2,5,7] => 0010001
[6,2,4,8,1,3,5,7] => [8,6,1,2,3,4,5,7] => [6,1,8,2,3,4,5,7] => 0000101
[6,3,4,8,1,2,5,7] => [8,1,6,3,2,4,5,7] => [6,3,8,1,2,4,5,7] => 0000101
[6,3,5,8,1,2,4,7] => [8,1,6,2,3,5,4,7] => [6,1,2,5,8,3,4,7] => 0000101
[6,4,5,8,1,2,3,7] => [8,1,2,6,4,5,3,7] => [6,4,5,8,1,2,3,7] => 0000101
[3,2,7,8,1,4,5,6] => [8,3,2,1,4,5,7,6] => [3,2,7,8,1,4,5,6] => 0100001
[4,3,7,8,1,2,5,6] => [8,1,4,3,2,5,7,6] => [4,3,7,8,1,2,5,6] => 0010001
[6,3,7,8,1,2,4,5] => [8,1,6,2,4,3,7,5] => [6,1,2,4,7,8,3,5] => 0000101
[7,3,4,8,1,2,5,6] => [8,1,7,3,2,5,4,6] => [7,3,5,8,1,2,4,6] => 0000011
[7,2,5,8,1,3,4,6] => [8,7,1,3,2,4,5,6] => [7,1,3,8,2,4,5,6] => 0000011
[7,3,5,8,1,2,4,6] => [8,1,7,2,3,4,5,6] => [7,1,2,8,3,4,5,6] => 0000011
[7,2,6,8,1,3,4,5] => [8,7,1,3,4,2,6,5] => [7,1,3,4,6,8,2,5] => 0000011
[7,4,6,8,1,2,3,5] => [8,1,2,7,3,4,6,5] => [7,1,2,3,6,8,4,5] => 0000011
[8,2,4,6,1,3,5,7] => [6,8,1,2,3,4,5,7] => [8,1,6,2,3,4,5,7] => 0000101
[8,3,4,6,1,2,5,7] => [6,1,8,3,2,4,5,7] => [8,3,6,1,2,4,5,7] => 0000101
[8,3,5,6,1,2,4,7] => [6,1,8,2,3,5,4,7] => [8,1,2,5,6,3,4,7] => 0000101
[8,3,4,7,1,2,5,6] => [7,1,8,3,2,5,4,6] => [8,3,5,7,1,2,4,6] => 0000011
[8,2,5,7,1,3,4,6] => [7,8,1,3,2,4,5,6] => [8,1,3,7,2,4,5,6] => 0000011
[8,3,5,7,1,2,4,6] => [7,1,8,2,3,4,5,6] => [8,1,2,7,3,4,5,6] => 0000011
[8,2,6,7,1,3,4,5] => [7,8,1,3,4,2,6,5] => [8,1,3,4,6,7,2,5] => 0000011
[8,3,6,7,1,2,4,5] => [7,1,8,2,4,3,6,5] => [8,1,2,4,6,7,3,5] => 0000011
[4,6,3,5,1,2,7,8] => [5,1,6,4,3,2,7,8] => [4,6,3,5,1,2,7,8] => 0001100
[5,6,2,4,1,3,7,8] => [4,6,1,2,5,3,7,8] => [5,6,1,4,2,3,7,8] => 0010100
[3,7,2,5,1,4,6,8] => [5,7,3,1,2,4,6,8] => [3,7,1,5,2,4,6,8] => 0001010
[5,7,2,4,1,3,6,8] => [4,7,1,2,5,3,6,8] => [5,7,1,4,2,3,6,8] => 0010010
[5,7,3,4,1,2,6,8] => [4,1,7,3,5,2,6,8] => [5,7,3,4,1,2,6,8] => 0010010
[5,7,3,6,1,2,4,8] => [6,1,7,2,5,3,4,8] => [5,7,1,2,6,3,4,8] => 0000110
[3,8,2,5,1,4,6,7] => [5,8,3,1,2,4,6,7] => [3,8,1,5,2,4,6,7] => 0001001
[4,8,2,5,1,3,6,7] => [5,8,1,4,2,3,6,7] => [4,8,1,5,2,3,6,7] => 0001001
[5,8,2,4,1,3,6,7] => [4,8,1,2,5,3,6,7] => [5,8,1,4,2,3,6,7] => 0010001
[5,8,3,4,1,2,6,7] => [4,1,8,3,5,2,6,7] => [5,8,3,4,1,2,6,7] => 0010001
[3,8,2,6,1,4,5,7] => [6,8,3,1,4,2,5,7] => [3,8,1,4,6,2,5,7] => 0000101
[5,8,3,6,1,2,4,7] => [6,1,8,2,5,3,4,7] => [5,8,1,2,6,3,4,7] => 0000101
[6,8,2,4,1,3,5,7] => [4,8,1,2,3,6,5,7] => [6,8,1,4,2,3,5,7] => 0010001
[6,8,3,4,1,2,5,7] => [4,1,8,3,2,6,5,7] => [6,8,3,4,1,2,5,7] => 0010001
[4,8,2,7,1,3,5,6] => [7,8,1,4,3,5,2,6] => [4,8,1,3,5,7,2,6] => 0000011
[4,8,3,7,1,2,5,6] => [7,1,8,4,2,5,3,6] => [4,8,1,2,5,7,3,6] => 0000011
[5,8,2,7,1,3,4,6] => [7,8,1,3,5,4,2,6] => [5,8,1,3,4,7,2,6] => 0000011
[5,8,3,7,1,2,4,6] => [7,1,8,2,5,4,3,6] => [5,8,1,2,4,7,3,6] => 0000011
[5,8,4,7,1,2,3,6] => [7,1,2,8,5,3,4,6] => [5,8,1,2,3,7,4,6] => 0000011
[6,8,3,7,1,2,4,5] => [7,1,8,2,4,6,3,5] => [6,8,1,2,4,7,3,5] => 0000011
[6,8,4,7,1,2,3,5] => [7,1,2,8,3,6,4,5] => [6,8,1,2,3,7,4,5] => 0000011
[6,8,5,7,1,2,3,4] => [7,1,2,3,8,6,5,4] => [6,8,5,7,1,2,3,4] => 0000011
[7,8,2,4,1,3,5,6] => [4,8,1,2,3,5,7,6] => [7,8,1,4,2,3,5,6] => 0010001
[7,8,2,5,1,3,4,6] => [5,8,1,3,2,4,7,6] => [7,8,1,3,5,2,4,6] => 0001001
[7,8,3,5,1,2,4,6] => [5,1,8,2,3,4,7,6] => [7,8,1,2,5,3,4,6] => 0001001
[7,8,3,6,1,2,4,5] => [6,1,8,2,4,3,7,5] => [7,8,1,2,4,6,3,5] => 0000101
[7,8,4,6,1,2,3,5] => [6,1,2,8,3,4,7,5] => [7,8,1,2,3,6,4,5] => 0000101
[4,3,2,6,1,5,7,8] => [6,3,4,2,1,5,7,8] => [4,3,2,6,1,5,7,8] => 0110100
[5,3,2,6,1,4,7,8] => [6,3,5,1,2,4,7,8] => [5,3,1,6,2,4,7,8] => 0101100
[5,4,2,6,1,3,7,8] => [6,4,1,5,2,3,7,8] => [5,4,1,6,2,3,7,8] => 0011100
[6,4,2,5,1,3,7,8] => [5,4,1,6,2,3,7,8] => [6,4,1,5,2,3,7,8] => 0011100
[5,3,2,7,1,4,6,8] => [7,3,5,1,2,4,6,8] => [5,3,1,7,2,4,6,8] => 0101010
[5,4,3,7,1,2,6,8] => [7,1,4,5,3,2,6,8] => [5,4,3,7,1,2,6,8] => 0011010
[7,3,2,5,1,4,6,8] => [5,3,7,1,2,4,6,8] => [7,3,1,5,2,4,6,8] => 0101010
[7,5,2,4,1,3,6,8] => [4,5,1,2,7,3,6,8] => [7,5,1,4,2,3,6,8] => 0011010
[4,3,2,8,1,5,6,7] => [8,3,4,2,1,5,6,7] => [4,3,2,8,1,5,6,7] => 0110001
[5,3,2,8,1,4,6,7] => [8,3,5,1,2,4,6,7] => [5,3,1,8,2,4,6,7] => 0101001
[5,4,2,8,1,3,6,7] => [8,4,1,5,2,3,6,7] => [5,4,1,8,2,3,6,7] => 0011001
[5,4,3,8,1,2,6,7] => [8,1,4,5,3,2,6,7] => [5,4,3,8,1,2,6,7] => 0011001
[6,4,3,8,1,2,5,7] => [8,1,4,6,2,3,5,7] => [6,4,1,2,8,3,5,7] => 0010101
[6,5,2,8,1,3,4,7] => [8,5,1,3,6,2,4,7] => [6,5,1,3,8,2,4,7] => 0001101
[6,5,3,8,1,2,4,7] => [8,1,5,2,6,3,4,7] => [6,5,1,2,8,3,4,7] => 0001101
[6,5,4,8,1,2,3,7] => [8,1,2,5,6,4,3,7] => [6,5,4,8,1,2,3,7] => 0001101
[7,4,3,8,1,2,5,6] => [8,1,4,7,2,5,3,6] => [7,4,1,2,5,8,3,6] => 0010011
[7,5,4,8,1,2,3,6] => [8,1,2,5,7,3,4,6] => [7,5,1,2,3,8,4,6] => 0001011
[7,6,4,8,1,2,3,5] => [8,1,2,6,3,7,4,5] => [7,6,1,2,3,8,4,5] => 0000111
[8,4,2,5,1,3,6,7] => [5,4,1,8,2,3,6,7] => [8,4,1,5,2,3,6,7] => 0011001
[8,5,2,4,1,3,6,7] => [4,5,1,2,8,3,6,7] => [8,5,1,4,2,3,6,7] => 0011001
[8,3,2,6,1,4,5,7] => [6,3,8,1,4,2,5,7] => [8,3,1,4,6,2,5,7] => 0100101
[8,4,2,6,1,3,5,7] => [6,4,1,8,3,2,5,7] => [8,4,1,3,6,2,5,7] => 0010101
[8,5,3,6,1,2,4,7] => [6,1,5,2,8,3,4,7] => [8,5,1,2,6,3,4,7] => 0001101
[8,6,2,4,1,3,5,7] => [4,6,1,2,3,8,5,7] => [8,6,1,4,2,3,5,7] => 0010101
[8,6,3,5,1,2,4,7] => [5,1,6,2,3,8,4,7] => [8,6,1,2,5,3,4,7] => 0001101
[8,3,2,7,1,4,5,6] => [7,3,8,1,4,5,2,6] => [8,3,1,4,5,7,2,6] => 0100011
[8,5,4,7,1,2,3,6] => [7,1,2,5,8,3,4,6] => [8,5,1,2,3,7,4,6] => 0001011
[8,6,3,7,1,2,4,5] => [7,1,6,2,4,8,3,5] => [8,6,1,2,4,7,3,5] => 0000111
[8,6,4,7,1,2,3,5] => [7,1,2,6,3,8,4,5] => [8,6,1,2,3,7,4,5] => 0000111
[8,7,2,4,1,3,5,6] => [4,7,1,2,3,5,8,6] => [8,7,1,4,2,3,5,6] => 0010011
[8,7,3,5,1,2,4,6] => [5,1,7,2,3,4,8,6] => [8,7,1,2,5,3,4,6] => 0001011
[8,7,3,6,1,2,4,5] => [6,1,7,2,4,3,8,5] => [8,7,1,2,4,6,3,5] => 0000111
[8,7,4,6,1,2,3,5] => [6,1,2,7,3,4,8,5] => [8,7,1,2,3,6,4,5] => 0000111
[3,6,2,5,8,1,4,7] => [8,6,3,1,2,5,4,7] => [3,6,1,5,8,2,4,7] => 0000101
[4,6,2,5,8,1,3,7] => [8,6,1,4,2,5,3,7] => [4,6,1,5,8,2,3,7] => 0000101
[4,6,3,5,8,1,2,7] => [8,1,6,4,3,5,2,7] => [4,6,3,5,8,1,2,7] => 0000101
[4,7,2,5,8,1,3,6] => [8,7,1,4,2,3,5,6] => [4,7,1,8,2,3,5,6] => 0000011
[5,7,2,4,8,1,3,6] => [8,7,1,2,5,3,4,6] => [5,7,1,8,2,3,4,6] => 0000011
[5,7,3,4,8,1,2,6] => [8,1,7,3,5,2,4,6] => [5,7,3,8,1,2,4,6] => 0000011
[3,7,2,6,8,1,4,5] => [8,7,3,1,4,2,6,5] => [3,7,1,4,6,8,2,5] => 0000011
[4,7,2,6,8,1,3,5] => [8,7,1,4,3,2,6,5] => [4,7,1,3,6,8,2,5] => 0000011
[5,7,3,6,8,1,2,4] => [8,1,7,2,5,3,6,4] => [5,7,1,2,6,8,3,4] => 0000011
[6,7,2,4,8,1,3,5] => [8,7,1,2,3,6,4,5] => [6,7,1,8,2,3,4,5] => 0000011
[6,7,3,4,8,1,2,5] => [8,1,7,3,2,6,4,5] => [6,7,3,8,1,2,4,5] => 0000011
[3,8,2,5,7,1,4,6] => [7,8,3,1,2,4,5,6] => [3,8,1,7,2,4,5,6] => 0000011
[4,8,2,5,7,1,3,6] => [7,8,1,4,2,3,5,6] => [4,8,1,7,2,3,5,6] => 0000011
[3,8,2,6,7,1,4,5] => [7,8,3,1,4,2,6,5] => [3,8,1,4,6,7,2,5] => 0000011
[4,8,3,6,7,1,2,5] => [7,1,8,4,2,3,6,5] => [4,8,1,2,6,7,3,5] => 0000011
[5,8,2,6,7,1,3,4] => [7,8,1,3,5,2,6,4] => [5,8,1,3,6,7,2,4] => 0000011
[5,8,3,6,7,1,2,4] => [7,1,8,2,5,3,6,4] => [5,8,1,2,6,7,3,4] => 0000011
[6,8,2,4,7,1,3,5] => [7,8,1,2,3,6,4,5] => [6,8,1,7,2,3,4,5] => 0000011
[6,8,2,5,7,1,3,4] => [7,8,1,3,2,6,5,4] => [6,8,1,3,5,7,2,4] => 0000011
[6,8,4,5,7,1,2,3] => [7,1,2,8,4,6,5,3] => [6,8,4,5,7,1,2,3] => 0000011
[7,8,2,4,6,1,3,5] => [6,8,1,2,3,4,7,5] => [7,8,1,6,2,3,4,5] => 0000101
[7,8,2,5,6,1,3,4] => [6,8,1,3,2,5,7,4] => [7,8,1,3,5,6,2,4] => 0000101
[7,8,3,5,6,1,2,4] => [6,1,8,2,3,5,7,4] => [7,8,1,2,5,6,3,4] => 0000101
[4,3,2,6,8,1,5,7] => [8,3,4,2,1,6,5,7] => [4,3,2,6,8,1,5,7] => 0110001
[5,4,2,6,8,1,3,7] => [8,4,1,5,2,6,3,7] => [5,4,1,6,8,2,3,7] => 0011001
[5,4,3,6,8,1,2,7] => [8,1,4,5,3,6,2,7] => [5,4,3,6,8,1,2,7] => 0011001
[6,4,3,5,8,1,2,7] => [8,1,4,6,3,5,2,7] => [6,4,3,5,8,1,2,7] => 0010101
[5,3,2,7,8,1,4,6] => [8,3,5,1,2,4,7,6] => [5,3,1,7,8,2,4,6] => 0101001
[5,4,2,7,8,1,3,6] => [8,4,1,5,2,3,7,6] => [5,4,1,7,8,2,3,6] => 0011001
[5,4,3,7,8,1,2,6] => [8,1,4,5,3,2,7,6] => [5,4,3,7,8,1,2,6] => 0011001
[6,5,3,7,8,1,2,4] => [8,1,5,2,6,3,7,4] => [6,5,1,2,7,8,3,4] => 0001101
[7,3,2,5,8,1,4,6] => [8,3,7,1,2,4,5,6] => [7,3,1,8,2,4,5,6] => 0100011
[7,4,2,5,8,1,3,6] => [8,4,1,7,2,3,5,6] => [7,4,1,8,2,3,5,6] => 0010011
[7,4,3,5,8,1,2,6] => [8,1,4,7,3,2,5,6] => [7,4,3,8,1,2,5,6] => 0010011
[7,5,3,4,8,1,2,6] => [8,1,5,3,7,2,4,6] => [7,5,3,8,1,2,4,6] => 0001011
[7,3,2,6,8,1,4,5] => [8,3,7,1,4,2,6,5] => [7,3,1,4,6,8,2,5] => 0100011
[7,4,2,6,8,1,3,5] => [8,4,1,7,3,2,6,5] => [7,4,1,3,6,8,2,5] => 0010011
[7,4,3,6,8,1,2,5] => [8,1,4,7,2,3,6,5] => [7,4,1,2,6,8,3,5] => 0010011
[7,5,3,6,8,1,2,4] => [8,1,5,2,7,3,6,4] => [7,5,1,2,6,8,3,4] => 0001011
[7,6,2,4,8,1,3,5] => [8,6,1,2,3,7,4,5] => [7,6,1,8,2,3,4,5] => 0000111
[7,6,2,5,8,1,3,4] => [8,6,1,3,2,7,5,4] => [7,6,1,3,5,8,2,4] => 0000111
[7,6,3,5,8,1,2,4] => [8,1,6,2,3,7,5,4] => [7,6,1,2,5,8,3,4] => 0000111
[8,3,2,5,7,1,4,6] => [7,3,8,1,2,4,5,6] => [8,3,1,7,2,4,5,6] => 0100011
[8,4,2,5,7,1,3,6] => [7,4,1,8,2,3,5,6] => [8,4,1,7,2,3,5,6] => 0010011
[8,5,2,4,7,1,3,6] => [7,5,1,2,8,3,4,6] => [8,5,1,7,2,3,4,6] => 0001011
[8,3,2,6,7,1,4,5] => [7,3,8,1,4,2,6,5] => [8,3,1,4,6,7,2,5] => 0100011
[8,4,2,6,7,1,3,5] => [7,4,1,8,3,2,6,5] => [8,4,1,3,6,7,2,5] => 0010011
[8,4,3,6,7,1,2,5] => [7,1,4,8,2,3,6,5] => [8,4,1,2,6,7,3,5] => 0010011
[8,5,2,6,7,1,3,4] => [7,5,1,3,8,2,6,4] => [8,5,1,3,6,7,2,4] => 0001011
[8,5,3,6,7,1,2,4] => [7,1,5,2,8,3,6,4] => [8,5,1,2,6,7,3,4] => 0001011
[8,6,3,4,7,1,2,5] => [7,1,6,3,2,8,4,5] => [8,6,3,7,1,2,4,5] => 0000111
[8,6,3,5,7,1,2,4] => [7,1,6,2,3,8,5,4] => [8,6,1,2,5,7,3,4] => 0000111
[8,7,2,4,6,1,3,5] => [6,7,1,2,3,4,8,5] => [8,7,1,6,2,3,4,5] => 0000111
[8,7,2,5,6,1,3,4] => [6,7,1,3,2,5,8,4] => [8,7,1,3,5,6,2,4] => 0000111
[5,3,7,2,6,1,4,8] => [6,7,5,1,3,2,4,8] => [5,1,7,3,6,2,4,8] => 0001110
[6,3,7,2,5,1,4,8] => [5,7,6,1,2,3,4,8] => [6,1,7,2,5,3,4,8] => 0001110
[6,4,7,2,5,1,3,8] => [5,7,1,6,2,4,3,8] => [6,1,7,4,5,2,3,8] => 0001110
[7,3,6,2,5,1,4,8] => [5,6,7,1,2,3,4,8] => [7,1,6,2,5,3,4,8] => 0001110
[7,4,6,2,5,1,3,8] => [5,6,1,7,2,4,3,8] => [7,1,6,4,5,2,3,8] => 0001110
[6,3,8,2,5,1,4,7] => [5,8,6,1,2,3,4,7] => [6,1,8,2,5,3,4,7] => 0001101
[6,4,8,2,5,1,3,7] => [5,8,1,6,2,4,3,7] => [6,1,8,4,5,2,3,7] => 0001101
[6,4,8,3,5,1,2,7] => [5,1,8,6,3,4,2,7] => [6,3,8,4,5,1,2,7] => 0001101
[6,5,8,2,4,1,3,7] => [4,8,1,2,6,5,3,7] => [6,5,8,1,4,2,3,7] => 0010101
[6,5,8,3,4,1,2,7] => [4,1,8,3,6,5,2,7] => [6,5,8,3,4,1,2,7] => 0010101
[4,3,8,2,7,1,5,6] => [7,8,4,3,1,5,2,6] => [4,3,8,1,5,7,2,6] => 0010011
[5,4,8,3,7,1,2,6] => [7,1,8,5,4,2,3,6] => [5,4,8,1,2,7,3,6] => 0001011
[6,5,8,2,7,1,3,4] => [7,8,1,3,6,5,2,4] => [6,5,8,1,3,7,2,4] => 0000111
[7,3,8,2,5,1,4,6] => [5,8,7,1,2,4,3,6] => [7,1,8,2,4,5,3,6] => 0001011
[7,4,8,2,6,1,3,5] => [6,8,1,7,3,2,4,5] => [7,1,3,8,2,6,4,5] => 0000111
[7,4,8,3,6,1,2,5] => [6,1,8,7,2,3,4,5] => [7,1,2,8,3,6,4,5] => 0000111
[7,5,8,2,6,1,3,4] => [6,8,1,3,7,2,5,4] => [7,1,3,8,5,6,2,4] => 0000111
[7,5,8,3,6,1,2,4] => [6,1,8,2,7,3,5,4] => [7,1,2,8,5,6,3,4] => 0000111
[7,5,8,4,6,1,2,3] => [6,1,2,8,7,4,5,3] => [7,4,8,5,6,1,2,3] => 0000111
[7,6,8,2,4,1,3,5] => [4,8,1,2,3,7,6,5] => [7,6,8,1,4,2,3,5] => 0010011
[8,3,6,2,5,1,4,7] => [5,6,8,1,2,3,4,7] => [8,1,6,2,5,3,4,7] => 0001101
[8,5,6,2,4,1,3,7] => [4,6,1,2,8,5,3,7] => [8,5,6,1,4,2,3,7] => 0010101
[8,3,7,2,5,1,4,6] => [5,7,8,1,2,4,3,6] => [8,1,7,2,4,5,3,6] => 0001011
[8,5,7,2,4,1,3,6] => [4,7,1,2,8,3,5,6] => [8,1,4,2,3,7,5,6] => 0010011
[8,5,7,3,4,1,2,6] => [4,1,7,3,8,2,5,6] => [8,3,4,1,2,7,5,6] => 0010011
[8,3,7,2,6,1,4,5] => [6,7,8,1,4,2,3,5] => [8,1,4,7,2,6,3,5] => 0000111
[8,4,7,2,6,1,3,5] => [6,7,1,8,3,2,4,5] => [8,1,3,7,2,6,4,5] => 0000111
[8,4,7,3,6,1,2,5] => [6,1,7,8,2,3,4,5] => [8,1,2,7,3,6,4,5] => 0000111
[8,6,7,2,4,1,3,5] => [4,7,1,2,3,8,6,5] => [8,6,7,1,4,2,3,5] => 0010011
[8,6,7,3,5,1,2,4] => [5,1,7,2,3,8,6,4] => [8,6,7,1,2,5,3,4] => 0001011
[5,4,3,2,7,1,6,8] => [7,3,4,5,2,1,6,8] => [5,4,3,2,7,1,6,8] => 0111010
[6,4,3,2,7,1,5,8] => [7,3,4,6,1,2,5,8] => [6,4,3,1,7,2,5,8] => 0110110
[6,5,3,2,7,1,4,8] => [7,3,5,1,6,2,4,8] => [6,5,3,1,7,2,4,8] => 0101110
[6,5,4,2,7,1,3,8] => [7,4,1,5,6,2,3,8] => [6,5,4,1,7,2,3,8] => 0011110
[7,5,3,2,6,1,4,8] => [6,3,5,1,7,2,4,8] => [7,5,3,1,6,2,4,8] => 0101110
[7,5,4,2,6,1,3,8] => [6,4,1,5,7,2,3,8] => [7,5,4,1,6,2,3,8] => 0011110
[7,6,3,2,5,1,4,8] => [5,3,6,1,2,7,4,8] => [7,6,3,1,5,2,4,8] => 0101110
[7,6,4,2,5,1,3,8] => [5,4,1,6,2,7,3,8] => [7,6,4,1,5,2,3,8] => 0011110
[7,6,5,2,4,1,3,8] => [4,5,1,2,6,7,3,8] => [7,6,5,1,4,2,3,8] => 0011110
[5,4,3,2,8,1,6,7] => [8,3,4,5,2,1,6,7] => [5,4,3,2,8,1,6,7] => 0111001
[6,5,3,2,8,1,4,7] => [8,3,5,1,6,2,4,7] => [6,5,3,1,8,2,4,7] => 0101101
[6,5,4,3,8,1,2,7] => [8,1,4,5,6,3,2,7] => [6,5,4,3,8,1,2,7] => 0011101
[7,5,3,2,8,1,4,6] => [8,3,5,1,7,4,2,6] => [7,5,3,1,4,8,2,6] => 0101011
[7,5,4,2,8,1,3,6] => [8,4,1,5,7,3,2,6] => [7,5,4,1,3,8,2,6] => 0011011
[7,5,4,3,8,1,2,6] => [8,1,4,5,7,2,3,6] => [7,5,4,1,2,8,3,6] => 0011011
[7,6,3,2,8,1,4,5] => [8,3,6,1,4,7,2,5] => [7,6,3,1,4,8,2,5] => 0100111
[7,6,5,2,8,1,3,4] => [8,5,1,3,6,7,2,4] => [7,6,5,1,3,8,2,4] => 0001111
[7,6,5,3,8,1,2,4] => [8,1,5,2,6,7,3,4] => [7,6,5,1,2,8,3,4] => 0001111
[8,5,3,2,6,1,4,7] => [6,3,5,1,8,2,4,7] => [8,5,3,1,6,2,4,7] => 0101101
[8,6,3,2,5,1,4,7] => [5,3,6,1,2,8,4,7] => [8,6,3,1,5,2,4,7] => 0101101
[8,6,4,2,5,1,3,7] => [5,4,1,6,2,8,3,7] => [8,6,4,1,5,2,3,7] => 0011101
[8,5,4,2,7,1,3,6] => [7,4,1,5,8,3,2,6] => [8,5,4,1,3,7,2,6] => 0011011
[8,6,3,2,7,1,4,5] => [7,3,6,1,4,8,2,5] => [8,6,3,1,4,7,2,5] => 0100111
[8,6,4,2,7,1,3,5] => [7,4,1,6,3,8,2,5] => [8,6,4,1,3,7,2,5] => 0010111
[8,7,5,2,4,1,3,6] => [4,5,1,2,7,3,8,6] => [8,7,5,1,4,2,3,6] => 0011011
[8,7,3,2,6,1,4,5] => [6,3,7,1,4,2,8,5] => [8,7,3,1,4,6,2,5] => 0100111
[8,7,4,3,6,1,2,5] => [6,1,4,7,2,3,8,5] => [8,7,4,1,2,6,3,5] => 0010111
[8,7,5,2,6,1,3,4] => [6,5,1,3,7,2,8,4] => [8,7,5,1,3,6,2,4] => 0001111
[8,7,5,3,6,1,2,4] => [6,1,5,2,7,3,8,4] => [8,7,5,1,2,6,3,4] => 0001111
[8,7,6,2,5,1,3,4] => [5,6,1,3,2,7,8,4] => [8,7,6,1,3,5,2,4] => 0001111
[8,7,6,3,5,1,2,4] => [5,1,6,2,3,7,8,4] => [8,7,6,1,2,5,3,4] => 0001111
[4,8,3,7,2,6,1,5] => [6,7,8,4,1,2,3,5] => [4,8,1,7,2,6,3,5] => 0000111
[5,8,3,7,2,6,1,4] => [6,7,8,1,5,2,3,4] => [5,8,1,7,2,6,3,4] => 0000111
[5,8,4,7,2,6,1,3] => [6,7,1,8,5,2,4,3] => [5,8,1,7,4,6,2,3] => 0000111
[5,8,4,7,3,6,1,2] => [6,1,7,8,5,3,4,2] => [5,8,3,7,4,6,1,2] => 0000111
[6,8,3,7,2,5,1,4] => [5,7,8,1,2,6,3,4] => [6,8,1,7,2,5,3,4] => 0001011
[6,8,4,7,2,5,1,3] => [5,7,1,8,2,6,4,3] => [6,8,1,7,4,5,2,3] => 0001011
[6,8,4,7,3,5,1,2] => [5,1,7,8,3,6,4,2] => [6,8,3,7,4,5,1,2] => 0001011
[6,8,5,7,2,4,1,3] => [4,7,1,2,8,6,5,3] => [6,8,5,7,1,4,2,3] => 0010011
[7,8,3,6,2,5,1,4] => [5,6,8,1,2,3,7,4] => [7,8,1,6,2,5,3,4] => 0001101
[7,8,4,6,3,5,1,2] => [5,1,6,8,3,4,7,2] => [7,8,3,6,4,5,1,2] => 0001101
[6,5,3,8,2,7,1,4] => [7,8,5,1,6,3,2,4] => [6,5,1,8,3,7,2,4] => 0001111
[6,5,4,8,2,7,1,3] => [7,8,1,5,6,4,2,3] => [6,5,4,8,1,7,2,3] => 0001111
[7,6,4,8,2,5,1,3] => [5,8,1,6,2,7,4,3] => [7,6,1,8,4,5,2,3] => 0001111
[7,6,4,8,3,5,1,2] => [5,1,8,6,3,7,4,2] => [7,6,3,8,4,5,1,2] => 0001111
[7,6,5,8,2,4,1,3] => [4,8,1,2,6,7,5,3] => [7,6,5,8,1,4,2,3] => 0010111
[8,4,3,7,2,6,1,5] => [6,7,4,8,1,2,3,5] => [8,4,1,7,2,6,3,5] => 0010111
[8,5,4,7,2,6,1,3] => [6,7,1,5,8,2,4,3] => [8,5,1,7,4,6,2,3] => 0001111
[8,6,3,7,2,5,1,4] => [5,7,6,1,2,8,3,4] => [8,6,1,7,2,5,3,4] => 0001111
[8,6,4,7,2,5,1,3] => [5,7,1,6,2,8,4,3] => [8,6,1,7,4,5,2,3] => 0001111
[8,7,3,6,2,5,1,4] => [5,6,7,1,2,3,8,4] => [8,7,1,6,2,5,3,4] => 0001111
[8,7,4,6,2,5,1,3] => [5,6,1,7,2,4,8,3] => [8,7,1,6,4,5,2,3] => 0001111
[8,7,5,6,2,4,1,3] => [4,6,1,2,7,5,8,3] => [8,7,5,6,1,4,2,3] => 0010111
[6,5,4,3,2,8,1,7] => [8,3,4,5,6,2,1,7] => [6,5,4,3,2,8,1,7] => 0111101
[7,6,4,3,2,8,1,5] => [8,3,4,6,1,7,2,5] => [7,6,4,3,1,8,2,5] => 0110111
[7,6,5,3,2,8,1,4] => [8,3,5,1,6,7,2,4] => [7,6,5,3,1,8,2,4] => 0101111
[7,6,5,4,2,8,1,3] => [8,4,1,5,6,7,2,3] => [7,6,5,4,1,8,2,3] => 0011111
[8,5,4,3,2,7,1,6] => [7,3,4,5,8,1,2,6] => [8,5,4,3,1,7,2,6] => 0111011
[8,6,5,4,2,7,1,3] => [7,4,1,5,6,8,2,3] => [8,6,5,4,1,7,2,3] => 0011111
[8,7,5,4,2,6,1,3] => [6,4,1,5,7,2,8,3] => [8,7,5,4,1,6,2,3] => 0011111
[8,7,6,3,2,5,1,4] => [5,3,6,1,2,7,8,4] => [8,7,6,3,1,5,2,4] => 0101111
[8,7,6,4,2,5,1,3] => [5,4,1,6,2,7,8,3] => [8,7,6,4,1,5,2,3] => 0011111
[8,7,6,5,2,4,1,3] => [4,5,1,2,6,7,8,3] => [8,7,6,5,1,4,2,3] => 0011111
[8,1,2,3,4,7,5,6] => [8,1,2,3,7,5,4,6] => [7,5,8,1,2,3,4,6] => 0000011
[8,1,2,3,7,4,5,6] => [8,1,2,7,4,5,3,6] => [7,4,5,8,1,2,3,6] => 0000011
[8,1,2,3,6,7,4,5] => [8,1,2,7,4,3,6,5] => [7,4,6,8,1,2,3,5] => 0000011
[7,1,2,6,3,4,8,5] => [7,1,6,3,8,2,4,5] => [8,3,6,1,2,4,7,5] => 0000111
[6,1,2,5,3,7,8,4] => [6,1,5,8,2,3,7,4] => [7,8,1,2,5,3,6,4] => 0001101
[4,1,2,8,6,3,5,7] => [4,1,6,2,3,8,5,7] => [8,6,1,2,4,3,5,7] => 0010101
[4,1,2,8,7,3,5,6] => [4,1,7,2,3,5,8,6] => [8,7,1,2,4,3,5,6] => 0010011
[4,1,2,7,6,3,8,5] => [4,1,6,2,7,8,5,3] => [8,5,7,6,1,2,4,3] => 0010111
[8,1,2,5,6,3,4,7] => [8,1,6,3,2,5,4,7] => [6,3,5,8,1,2,4,7] => 0000101
[8,1,2,5,7,3,4,6] => [8,1,7,3,2,4,5,6] => [7,3,8,1,2,4,5,6] => 0000011
[7,1,2,5,6,3,8,4] => [7,1,6,8,2,5,3,4] => [8,1,2,5,6,3,7,4] => 0000111
[4,1,2,5,8,7,3,6] => [4,1,7,2,5,3,8,6] => [5,8,7,1,2,4,3,6] => 0010011
[8,1,2,5,6,7,3,4] => [8,1,7,3,2,5,6,4] => [7,3,5,6,8,1,2,4] => 0000011
[3,1,8,2,4,7,5,6] => [3,8,1,2,7,5,4,6] => [7,5,8,1,3,2,4,6] => 0100011
[3,1,8,2,6,4,5,7] => [3,8,1,6,4,2,5,7] => [6,4,8,1,3,2,5,7] => 0100101
[3,1,7,2,6,4,8,5] => [3,7,1,6,8,2,4,5] => [8,1,3,2,6,4,7,5] => 0100111
[3,1,5,2,8,7,4,6] => [3,5,1,7,2,4,8,6] => [8,7,1,3,2,5,4,6] => 0101011
[8,1,4,2,3,5,6,7] => [8,4,2,1,3,5,6,7] => [4,2,8,1,3,5,6,7] => 0010001
[7,1,4,2,3,5,8,6] => [7,4,2,1,3,8,5,6] => [4,2,8,1,3,5,7,6] => 0010011
[6,1,4,2,3,8,5,7] => [6,4,2,1,8,3,5,7] => [4,2,8,1,3,6,5,7] => 0010101
[8,1,7,2,3,4,5,6] => [8,7,2,3,4,5,1,6] => [7,2,3,4,5,8,1,6] => 0000011
[6,1,5,2,3,8,4,7] => [6,5,2,8,1,3,4,7] => [8,2,5,1,3,6,4,7] => 0001101
[5,1,4,2,8,3,6,7] => [5,4,8,1,2,3,6,7] => [8,1,4,2,5,3,6,7] => 0011001
[5,1,4,2,7,3,8,6] => [5,4,7,1,2,8,3,6] => [8,1,4,2,5,3,7,6] => 0011011
[8,1,4,2,6,3,5,7] => [8,4,6,1,3,2,5,7] => [6,1,4,3,8,2,5,7] => 0010101
[7,1,4,2,6,3,8,5] => [7,4,6,1,8,2,3,5] => [8,1,4,2,6,3,7,5] => 0010111
[8,1,5,2,6,3,4,7] => [8,5,6,3,1,2,4,7] => [6,3,5,1,8,2,4,7] => 0001101
[8,1,5,2,7,3,4,6] => [8,5,7,3,1,4,2,6] => [7,3,5,1,4,8,2,6] => 0001011
[7,1,5,2,6,3,8,4] => [7,5,6,8,1,2,3,4] => [8,1,6,2,5,3,7,4] => 0001111
[8,1,4,2,6,7,3,5] => [8,4,7,1,3,2,6,5] => [7,1,4,3,6,8,2,5] => 0010011
[8,1,5,2,6,7,3,4] => [8,5,7,3,1,2,6,4] => [7,3,5,1,6,8,2,4] => 0001011
[5,1,4,2,6,7,8,3] => [5,4,8,1,2,6,7,3] => [6,7,8,1,4,2,5,3] => 0011001
[3,1,4,8,2,7,5,6] => [3,8,1,4,7,5,2,6] => [4,7,5,8,1,3,2,6] => 0100011
[3,1,8,5,2,4,6,7] => [3,5,1,2,8,4,6,7] => [8,5,1,3,2,4,6,7] => 0101001
[3,1,7,5,2,4,8,6] => [3,5,1,2,7,8,4,6] => [8,5,1,3,2,4,7,6] => 0101011
[3,1,8,6,2,4,5,7] => [3,6,1,2,4,8,5,7] => [8,6,1,3,2,4,5,7] => 0100101
[3,1,7,6,2,4,8,5] => [3,6,1,2,7,8,5,4] => [8,5,7,6,1,3,2,4] => 0100111
[3,1,8,5,2,7,4,6] => [3,5,1,8,7,2,4,6] => [7,1,3,2,8,5,4,6] => 0101011
[8,1,4,5,2,3,6,7] => [8,5,2,1,4,3,6,7] => [5,2,4,8,1,3,6,7] => 0001001
[7,1,4,8,2,3,5,6] => [7,8,2,1,3,5,4,6] => [8,2,5,7,1,3,4,6] => 0000011
[7,1,4,6,2,3,8,5] => [7,6,2,1,8,4,3,5] => [8,2,4,6,1,3,7,5] => 0000111
[7,1,8,6,2,3,4,5] => [7,6,2,3,4,8,1,5] => [8,6,2,3,4,7,1,5] => 0000111
[7,1,6,5,2,3,8,4] => [7,5,2,6,8,1,4,3] => [8,2,6,5,4,7,1,3] => 0001111
[8,1,4,6,2,7,3,5] => [8,6,7,1,3,4,2,5] => [7,1,6,3,4,8,2,5] => 0000111
[8,1,6,5,2,7,3,4] => [8,5,6,2,7,1,3,4] => [7,2,6,5,1,8,3,4] => 0001111
[6,1,4,5,2,7,8,3] => [6,5,8,1,4,2,7,3] => [7,8,1,4,5,2,6,3] => 0001101
[3,1,4,8,6,2,5,7] => [3,6,1,4,2,8,5,7] => [4,8,6,1,3,2,5,7] => 0100101
[3,1,4,7,6,2,8,5] => [3,6,1,4,7,8,5,2] => [4,8,5,7,6,1,3,2] => 0100111
[3,1,8,7,6,2,4,5] => [3,6,1,2,4,7,8,5] => [8,7,6,1,3,2,4,5] => 0100111
[8,1,4,5,7,2,3,6] => [8,7,2,1,4,3,5,6] => [7,2,4,8,1,3,5,6] => 0000011
[8,1,4,7,6,2,3,5] => [8,6,2,1,3,7,4,5] => [7,6,2,8,1,3,4,5] => 0000111
[7,1,4,5,6,2,8,3] => [7,6,8,1,4,5,2,3] => [8,1,4,5,6,2,7,3] => 0000111
[3,1,4,8,6,7,2,5] => [3,7,1,4,2,8,6,5] => [4,8,6,7,1,3,2,5] => 0100011
[3,1,8,5,6,7,2,4] => [3,7,1,2,8,5,6,4] => [8,5,6,7,1,3,2,4] => 0100011
[8,1,4,5,6,7,2,3] => [8,7,2,1,4,5,6,3] => [7,2,4,5,6,8,1,3] => 0000011
[2,8,1,3,6,4,5,7] => [8,2,1,6,4,3,5,7] => [2,6,4,8,1,3,5,7] => 0000101
[2,7,1,3,6,4,8,5] => [7,2,1,6,8,3,4,5] => [2,8,1,3,6,4,7,5] => 0000111
[2,8,1,3,6,7,4,5] => [8,2,1,7,4,3,6,5] => [2,7,4,6,8,1,3,5] => 0000011
[2,4,1,8,3,7,5,6] => [4,2,8,1,7,5,3,6] => [2,7,5,8,1,4,3,6] => 0010011
[2,4,1,8,6,3,5,7] => [4,2,6,1,3,8,5,7] => [2,8,6,1,4,3,5,7] => 0010101
[2,4,1,5,8,7,3,6] => [4,2,7,1,5,3,8,6] => [2,5,8,7,1,4,3,6] => 0010011
[2,4,1,8,6,7,3,5] => [4,2,7,1,3,8,6,5] => [2,8,6,7,1,4,3,5] => 0010011
[6,3,1,2,4,8,5,7] => [3,1,6,2,8,4,5,7] => [8,3,1,2,4,6,5,7] => 0100101
[8,3,1,2,4,7,5,6] => [3,1,8,2,7,5,4,6] => [7,5,8,3,1,2,4,6] => 0100011
[6,3,1,2,4,7,8,5] => [3,1,6,2,8,4,7,5] => [7,8,3,1,2,4,6,5] => 0100101
[5,3,1,2,8,4,6,7] => [3,1,5,8,2,4,6,7] => [8,3,1,2,5,4,6,7] => 0101001
[5,3,1,2,7,4,8,6] => [3,1,5,7,2,8,4,6] => [8,3,1,2,5,4,7,6] => 0101011
[7,3,1,2,6,4,8,5] => [3,1,7,6,8,2,4,5] => [8,3,1,2,6,4,7,5] => 0100111
[8,4,1,2,3,7,5,6] => [4,1,2,8,7,5,3,6] => [7,5,8,4,1,2,3,6] => 0010011
[6,4,1,2,3,7,8,5] => [4,1,2,6,8,3,7,5] => [7,8,4,1,2,3,6,5] => 0010101
[7,6,1,2,3,4,8,5] => [6,1,2,3,7,8,5,4] => [8,5,7,6,1,2,3,4] => 0000111
[5,8,1,2,3,7,4,6] => [8,1,2,7,5,4,3,6] => [5,7,4,8,1,2,3,6] => 0000011
[8,6,1,2,3,7,4,5] => [6,1,2,8,3,7,4,5] => [7,1,2,3,8,6,4,5] => 0000111
[8,4,1,2,6,3,5,7] => [4,1,8,6,2,3,5,7] => [6,1,2,8,4,3,5,7] => 0010101
[5,8,1,2,7,3,4,6] => [8,1,7,3,5,4,2,6] => [5,7,3,4,8,1,2,6] => 0000011
[8,7,1,2,6,3,4,5] => [7,1,6,3,4,2,8,5] => [6,3,4,8,7,1,2,5] => 0000111
[5,7,1,2,6,3,8,4] => [7,1,6,8,5,2,3,4] => [5,8,1,2,6,3,7,4] => 0000111
[5,4,1,2,8,7,3,6] => [4,1,5,7,3,2,8,6] => [8,7,3,5,4,1,2,6] => 0011011
[4,3,1,6,2,8,5,7] => [3,4,6,2,8,1,5,7] => [8,2,4,3,1,6,5,7] => 0110101
[4,3,1,8,2,7,5,6] => [3,4,8,2,7,5,1,6] => [7,5,8,2,4,3,1,6] => 0110011
[4,3,1,6,2,7,8,5] => [3,4,6,2,8,1,7,5] => [7,8,2,4,3,1,6,5] => 0110101
[8,3,1,5,2,4,6,7] => [3,8,5,1,2,4,6,7] => [5,1,8,3,2,4,6,7] => 0101001
[7,3,1,5,2,4,8,6] => [3,7,5,1,2,8,4,6] => [5,1,8,3,2,4,7,6] => 0101011
[7,3,1,6,2,4,8,5] => [3,7,6,1,8,2,4,5] => [8,1,6,3,2,4,7,5] => 0100111
[8,3,1,6,2,7,4,5] => [3,8,6,7,4,2,1,5] => [7,4,6,2,8,3,1,5] => 0100111
[6,3,1,5,2,7,8,4] => [3,6,5,8,2,1,7,4] => [7,8,2,5,3,1,6,4] => 0101101
[8,4,1,5,2,3,6,7] => [4,8,1,5,2,3,6,7] => [5,1,8,4,2,3,6,7] => 0011001
[7,4,1,5,2,3,8,6] => [4,7,1,5,2,8,3,6] => [5,1,8,4,2,3,7,6] => 0011011
[7,4,1,8,2,3,5,6] => [4,7,1,8,3,5,2,6] => [8,1,3,5,7,4,2,6] => 0010011
[7,4,1,6,2,3,8,5] => [4,7,1,6,8,2,3,5] => [8,1,6,4,2,3,7,5] => 0010111
[8,7,1,5,2,3,4,6] => [7,5,2,3,1,4,8,6] => [5,2,3,8,7,1,4,6] => 0001011
[8,7,1,6,2,3,4,5] => [7,6,2,3,4,1,8,5] => [6,2,3,4,8,7,1,5] => 0000111
[6,7,1,5,2,3,8,4] => [7,5,2,8,1,6,3,4] => [6,8,2,5,1,3,7,4] => 0001011
[6,4,1,5,2,8,3,7] => [4,6,5,8,2,3,1,7] => [8,2,5,3,6,4,1,7] => 0011101
[8,4,1,5,2,7,3,6] => [4,8,5,7,2,1,3,6] => [7,2,5,1,8,4,3,6] => 0011011
[8,4,1,6,2,7,3,5] => [4,8,6,7,1,2,3,5] => [7,1,6,2,8,4,3,5] => 0010111
[6,8,1,5,2,7,3,4] => [8,5,7,3,1,6,2,4] => [6,7,3,5,1,8,2,4] => 0001011
[4,3,1,5,7,2,8,6] => [3,4,7,2,5,8,1,6] => [5,8,2,4,3,1,7,6] => 0110011
[4,3,1,8,6,2,5,7] => [3,4,6,2,1,8,5,7] => [8,6,2,4,3,1,5,7] => 0110101
[4,3,1,8,7,2,5,6] => [3,4,7,2,1,5,8,6] => [8,7,2,4,3,1,5,6] => 0110011
[4,3,1,7,6,2,8,5] => [3,4,6,2,7,8,5,1] => [8,5,7,6,2,4,3,1] => 0110111
[8,3,1,5,6,2,4,7] => [3,8,6,1,2,5,4,7] => [6,1,5,8,3,2,4,7] => 0100101
[8,3,1,7,6,2,4,5] => [3,8,6,1,4,7,2,5] => [7,6,1,4,8,3,2,5] => 0100111
[7,3,1,5,6,2,8,4] => [3,7,6,8,2,5,1,4] => [8,2,5,6,3,1,7,4] => 0100111
[8,4,1,5,7,2,3,6] => [4,8,1,7,2,3,5,6] => [7,1,8,4,2,3,5,6] => 0010011
[8,4,1,7,6,2,3,5] => [4,8,1,6,3,7,2,5] => [7,6,1,3,8,4,2,5] => 0010111
[7,4,1,5,6,2,8,3] => [4,7,6,8,2,5,3,1] => [8,2,5,6,3,7,4,1] => 0010111
[4,3,1,5,8,7,2,6] => [3,4,7,2,5,1,8,6] => [5,8,7,2,4,3,1,6] => 0110011
[4,3,1,5,6,7,8,2] => [3,4,8,2,5,6,7,1] => [5,6,7,8,2,4,3,1] => 0110001
[2,3,8,1,6,4,5,7] => [8,2,3,6,4,1,5,7] => [2,3,6,4,8,1,5,7] => 0000101
[2,3,7,1,6,4,8,5] => [7,2,3,6,8,1,4,5] => [2,3,8,1,6,4,7,5] => 0000111
[2,8,4,1,3,5,6,7] => [4,2,1,8,3,5,6,7] => [2,8,4,1,3,5,6,7] => 0010001
[2,7,4,1,3,5,8,6] => [4,2,1,7,3,8,5,6] => [2,8,4,1,3,5,7,6] => 0010011
[2,6,4,1,3,8,5,7] => [4,2,1,6,8,3,5,7] => [2,8,4,1,3,6,5,7] => 0010101
[2,6,4,1,3,7,8,5] => [4,2,1,6,8,3,7,5] => [2,7,8,4,1,3,6,5] => 0010101
[2,8,5,1,3,4,6,7] => [5,2,1,3,8,4,6,7] => [2,8,5,1,3,4,6,7] => 0001001
[2,8,7,1,3,4,5,6] => [7,2,1,3,4,5,8,6] => [2,8,7,1,3,4,5,6] => 0000011
[2,8,5,1,3,7,4,6] => [5,2,1,8,7,3,4,6] => [2,7,1,3,8,5,4,6] => 0001011
[2,6,8,1,3,7,4,5] => [8,2,1,7,4,6,3,5] => [2,6,7,4,8,1,3,5] => 0000011
[2,6,5,1,3,7,8,4] => [5,2,1,6,8,4,7,3] => [2,7,8,4,6,5,1,3] => 0001101
[2,5,4,1,8,3,6,7] => [4,2,5,8,3,1,6,7] => [2,8,3,5,4,1,6,7] => 0011001
[2,5,4,1,7,3,8,6] => [4,2,5,7,3,8,1,6] => [2,8,3,5,4,1,7,6] => 0011011
[2,8,4,1,6,3,5,7] => [4,2,8,6,1,3,5,7] => [2,6,1,8,4,3,5,7] => 0010101
[2,8,4,1,7,3,5,6] => [4,2,8,7,1,5,3,6] => [2,7,1,5,8,4,3,6] => 0010011
[2,7,4,1,6,3,8,5] => [4,2,7,6,8,3,1,5] => [2,8,3,6,4,1,7,5] => 0010111
[2,7,8,1,6,3,4,5] => [8,2,6,3,4,1,7,5] => [2,6,3,4,7,8,1,5] => 0000101
[2,7,5,1,6,3,8,4] => [5,2,7,6,8,3,4,1] => [2,8,3,6,4,7,5,1] => 0001111
[2,5,4,1,8,7,3,6] => [4,2,5,7,3,1,8,6] => [2,8,7,3,5,4,1,6] => 0011011
[7,3,4,1,2,5,8,6] => [4,1,7,3,2,8,5,6] => [8,3,4,1,2,5,7,6] => 0010011
[8,3,4,1,2,7,5,6] => [4,1,8,3,7,5,2,6] => [7,5,8,3,4,1,2,6] => 0010011
[7,3,5,1,2,4,8,6] => [5,1,7,2,3,8,4,6] => [8,1,2,5,3,4,7,6] => 0001011
[8,3,5,1,2,7,4,6] => [5,1,8,7,3,4,2,6] => [7,3,8,4,5,1,2,6] => 0001011
[6,3,8,1,2,7,4,5] => [8,1,6,7,4,3,2,5] => [7,4,6,3,8,1,2,5] => 0000111
[7,5,4,1,2,3,8,6] => [4,1,2,5,7,8,3,6] => [8,5,4,1,2,3,7,6] => 0011011
[6,8,4,1,2,3,5,7] => [4,1,2,8,3,6,5,7] => [6,8,4,1,2,3,5,7] => 0010001
[6,7,4,1,2,3,8,5] => [4,1,2,7,8,6,3,5] => [6,8,4,1,2,3,7,5] => 0010011
[6,8,5,1,2,3,4,7] => [5,1,2,3,8,6,4,7] => [6,8,5,1,2,3,4,7] => 0001001
[6,7,5,1,2,3,8,4] => [5,1,2,7,8,6,4,3] => [6,8,4,7,5,1,2,3] => 0001011
[6,5,4,1,2,8,3,7] => [4,1,5,6,8,2,3,7] => [8,1,2,6,5,4,3,7] => 0011101
[8,5,4,1,2,7,3,6] => [4,1,5,8,7,3,2,6] => [7,3,8,5,4,1,2,6] => 0011011
[6,8,4,1,2,7,3,5] => [4,1,8,7,2,6,3,5] => [6,7,1,2,8,4,3,5] => 0010011
[6,8,5,1,2,7,3,4] => [5,1,8,2,7,6,3,4] => [6,7,1,2,8,5,3,4] => 0001011
[6,5,4,1,2,7,8,3] => [4,1,5,6,8,2,7,3] => [7,8,1,2,6,5,4,3] => 0011101
[5,3,4,1,8,2,6,7] => [4,8,5,3,1,2,6,7] => [5,3,8,1,4,2,6,7] => 0011001
[8,3,4,1,6,2,5,7] => [4,6,8,3,2,1,5,7] => [8,3,6,2,4,1,5,7] => 0010101
[8,3,4,1,7,2,5,6] => [4,7,8,3,2,5,1,6] => [8,3,5,7,2,4,1,6] => 0010011
[7,3,4,1,6,2,8,5] => [4,6,7,3,8,1,2,5] => [8,3,7,1,4,2,6,5] => 0010111
[8,3,5,1,6,2,4,7] => [5,6,8,2,3,1,4,7] => [8,2,6,3,5,1,4,7] => 0001101
[8,3,5,1,7,2,4,6] => [5,7,8,2,3,4,1,6] => [8,2,7,3,4,5,1,6] => 0001011
[7,3,8,1,6,2,4,5] => [8,6,7,2,4,1,3,5] => [7,2,4,6,1,8,3,5] => 0000111
[7,3,5,1,6,2,8,4] => [5,6,7,8,3,1,2,4] => [8,3,7,1,6,2,5,4] => 0001111
[8,5,4,1,6,2,3,7] => [4,5,2,8,6,1,3,7] => [6,2,8,5,4,1,3,7] => 0011101
[8,5,4,1,7,2,3,6] => [4,5,2,8,7,3,1,6] => [7,2,3,8,5,4,1,6] => 0011011
[5,3,4,1,6,8,2,7] => [4,8,5,3,1,6,2,7] => [5,3,6,8,1,4,2,7] => 0011001
[5,3,4,1,8,7,2,6] => [4,7,5,3,1,2,8,6] => [5,3,8,7,1,4,2,6] => 0011011
[8,5,4,1,6,7,2,3] => [4,5,2,8,7,1,6,3] => [7,2,6,8,5,4,1,3] => 0011011
[5,3,4,1,6,7,8,2] => [4,8,5,3,1,6,7,2] => [5,3,6,7,8,1,4,2] => 0011001
[2,3,4,8,1,7,5,6] => [8,2,3,4,7,5,1,6] => [2,3,4,7,5,8,1,6] => 0000011
[2,3,7,5,1,4,8,6] => [5,2,3,1,7,8,4,6] => [2,3,8,5,1,4,7,6] => 0001011
[2,3,8,6,1,7,4,5] => [6,2,3,8,1,7,4,5] => [2,3,7,1,8,6,4,5] => 0000111
[2,7,4,6,1,3,8,5] => [6,2,1,7,8,4,3,5] => [2,8,4,7,1,3,6,5] => 0000111
[2,7,8,5,1,3,4,6] => [5,2,1,3,8,4,7,6] => [2,7,8,5,1,3,4,6] => 0001001
[2,7,8,6,1,3,4,5] => [6,2,1,3,4,8,7,5] => [2,7,8,6,1,3,4,5] => 0000101
[2,7,6,5,1,3,8,4] => [5,2,1,6,7,8,3,4] => [2,8,1,3,7,6,5,4] => 0001111
[2,6,4,5,1,8,3,7] => [5,2,8,6,4,1,3,7] => [2,6,4,8,1,5,3,7] => 0001101
[2,8,4,6,1,7,3,5] => [6,2,7,8,3,4,1,5] => [2,8,3,7,4,6,1,5] => 0000111
[2,6,4,5,1,7,8,3] => [5,2,8,6,4,1,7,3] => [2,6,4,7,8,1,5,3] => 0001101
[7,3,4,6,1,2,8,5] => [6,1,7,3,8,4,2,5] => [8,3,4,7,1,2,6,5] => 0000111
[8,3,6,5,1,2,4,7] => [5,1,6,3,8,2,4,7] => [8,3,6,5,1,2,4,7] => 0001101
[7,3,6,5,1,2,8,4] => [5,1,6,7,8,4,3,2] => [8,4,7,3,6,5,1,2] => 0001111
[7,6,4,5,1,2,8,3] => [5,1,8,6,4,7,2,3] => [7,6,4,8,1,2,5,3] => 0001111
[8,3,4,6,1,7,2,5] => [6,7,8,3,2,4,1,5] => [8,3,7,2,4,6,1,5] => 0000111
[8,3,6,5,1,7,2,4] => [5,6,7,3,8,1,2,4] => [8,3,7,1,6,5,2,4] => 0001111
[8,6,4,5,1,7,2,3] => [5,7,2,6,4,8,1,3] => [8,6,4,7,2,5,1,3] => 0001111
[2,3,4,8,6,1,5,7] => [6,2,3,4,1,8,5,7] => [2,3,4,8,6,1,5,7] => 0000101
[2,3,4,8,7,1,5,6] => [7,2,3,4,1,5,8,6] => [2,3,4,8,7,1,5,6] => 0000011
[2,3,4,7,6,1,8,5] => [6,2,3,4,7,8,5,1] => [2,3,4,8,5,7,6,1] => 0000111
[2,3,8,5,6,1,4,7] => [6,2,3,1,8,5,4,7] => [2,3,8,5,6,1,4,7] => 0000101
[2,3,8,5,7,1,4,6] => [7,2,3,1,8,4,5,6] => [2,3,8,1,4,7,5,6] => 0000011
[2,3,8,7,6,1,4,5] => [6,2,3,1,4,7,8,5] => [2,3,8,7,6,1,4,5] => 0000111
[2,8,4,5,6,1,3,7] => [6,2,1,8,4,5,3,7] => [2,8,4,5,6,1,3,7] => 0000101
[2,8,4,5,7,1,3,6] => [7,2,1,8,4,3,5,6] => [2,8,4,7,1,3,5,6] => 0000011
[2,8,4,7,6,1,3,5] => [6,2,1,7,4,8,3,5] => [2,8,4,7,6,1,3,5] => 0000111
[2,8,7,5,6,1,3,4] => [6,2,1,3,7,5,8,4] => [2,8,7,5,6,1,3,4] => 0000111
[2,7,4,5,6,1,8,3] => [6,2,8,7,4,5,1,3] => [2,7,4,5,8,1,6,3] => 0000111
[8,3,4,7,6,1,2,5] => [6,1,7,2,3,8,4,5] => [8,1,2,7,6,3,4,5] => 0000111
[8,3,7,5,6,1,2,4] => [6,1,8,2,7,5,3,4] => [7,5,8,1,2,6,3,4] => 0000111
[7,3,4,5,6,1,8,2] => [6,8,7,3,4,5,1,2] => [7,3,4,5,8,1,6,2] => 0000111
[2,3,4,5,8,7,1,6] => [7,2,3,4,5,1,8,6] => [2,3,4,5,8,7,1,6] => 0000011
[2,3,4,8,6,7,1,5] => [7,2,3,4,1,8,6,5] => [2,3,4,8,6,7,1,5] => 0000011
[2,3,8,5,6,7,1,4] => [7,2,3,1,8,5,6,4] => [2,3,8,5,6,7,1,4] => 0000011
[2,8,4,5,6,7,1,3] => [7,2,1,8,4,5,6,3] => [2,8,4,5,6,7,1,3] => 0000011
[9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => 00000001
[8,1,2,3,4,5,6,9,7] => [8,1,2,3,4,5,9,6,7] => [9,1,2,3,4,5,6,8,7] => 00000011
[3,1,9,2,4,5,6,7,8] => [3,9,1,2,4,5,6,7,8] => [9,1,3,2,4,5,6,7,8] => 01000001
[9,1,8,2,3,4,5,6,7] => [9,8,2,3,4,5,6,1,7] => [8,2,3,4,5,6,9,1,7] => 00000011
[3,1,4,5,6,7,8,9,2] => [3,9,1,4,5,6,7,8,2] => [4,5,6,7,8,9,1,3,2] => 01000001
[2,9,1,3,4,5,6,7,8] => [9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => 00000001
[9,3,1,2,4,5,6,7,8] => [3,1,9,2,4,5,6,7,8] => [9,3,1,2,4,5,6,7,8] => 01000001
[5,9,1,2,3,4,6,7,8] => [9,1,2,3,5,4,6,7,8] => [5,9,1,2,3,4,6,7,8] => 00000001
[9,6,1,2,3,4,5,7,8] => [6,1,2,3,4,9,5,7,8] => [9,6,1,2,3,4,5,7,8] => 00001001
[9,7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,9,6,8] => [9,7,1,2,3,4,5,6,8] => 00000101
[8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,8,7] => [8,9,1,2,3,4,5,6,7] => 00000001
[2,3,9,1,4,5,6,7,8] => [9,2,3,1,4,5,6,7,8] => [2,3,9,1,4,5,6,7,8] => 00000001
[2,9,8,1,3,4,5,6,7] => [8,2,1,3,4,5,6,9,7] => [2,9,8,1,3,4,5,6,7] => 00000011
[9,5,4,1,2,3,6,7,8] => [4,1,2,5,9,3,6,7,8] => [9,5,4,1,2,3,6,7,8] => 00110001
[9,8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,9,7] => [9,8,4,1,2,3,5,6,7] => 00100011
[9,7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,9,7,6] => [9,7,8,1,2,3,4,5,6] => 00000011
[2,3,4,9,1,5,6,7,8] => [9,2,3,4,1,5,6,7,8] => [2,3,4,9,1,5,6,7,8] => 00000001
[2,3,9,8,1,4,5,6,7] => [8,2,3,1,4,5,6,9,7] => [2,3,9,8,1,4,5,6,7] => 00000011
[2,3,4,5,9,1,6,7,8] => [9,2,3,4,5,1,6,7,8] => [2,3,4,5,9,1,6,7,8] => 00000001
[9,7,4,5,6,1,2,3,8] => [6,1,2,7,4,5,9,3,8] => [9,7,4,5,6,1,2,3,8] => 00001101
[2,3,4,5,6,9,1,7,8] => [9,2,3,4,5,6,1,7,8] => [2,3,4,5,6,9,1,7,8] => 00000001
[2,3,9,5,6,7,1,4,8] => [7,2,3,1,9,5,6,4,8] => [2,3,9,5,6,7,1,4,8] => 00000101
[2,9,4,5,6,7,1,3,8] => [7,2,1,9,4,5,6,3,8] => [2,9,4,5,6,7,1,3,8] => 00000101
[9,3,4,5,6,7,1,2,8] => [7,1,9,3,4,5,6,2,8] => [9,3,4,5,6,7,1,2,8] => 00000101
[9,8,4,5,6,7,1,2,3] => [7,1,2,8,4,5,6,9,3] => [9,8,4,5,6,7,1,2,3] => 00000111
[2,3,4,5,6,7,9,1,8] => [9,2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,9,1,8] => 00000001
[2,3,4,5,9,7,8,1,6] => [8,2,3,4,5,1,9,7,6] => [2,3,4,5,9,7,8,1,6] => 00000011
[2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,9,1] => 00000001
[] => [] => [] =>
[3,5,2,6,1,4,8,7] => [6,5,3,1,2,4,8,7] => [3,5,1,6,2,4,8,7] => 0001101
[3,5,2,6,4,1,8,7] => [4,6,3,5,1,2,8,7] => [3,5,1,6,4,2,8,7] => 0011101
[3,5,2,7,4,8,1,6] => [8,5,3,7,2,1,4,6] => [3,7,2,5,1,8,4,6] => 0001011
[3,5,2,7,4,8,6,1] => [6,5,3,8,2,7,1,4] => [3,7,2,5,1,8,6,4] => 0001111
[4,5,7,2,3,8,6,1] => [6,8,1,4,5,7,3,2] => [4,5,7,1,3,8,6,2] => 0000111
[4,5,7,2,3,8,1,6] => [8,7,2,4,5,1,3,6] => [4,5,7,2,8,1,3,6] => 0000011
[4,5,6,2,3,1,8,7] => [3,6,2,4,5,1,8,7] => [4,5,6,2,3,1,8,7] => 0100101
[4,5,6,2,1,3,8,7] => [2,6,1,4,5,3,8,7] => [4,5,6,2,1,3,8,7] => 1000101
[3,5,1,6,4,2,8,7] => [5,4,3,6,1,2,8,7] => [3,6,4,1,5,2,8,7] => 0011101
[4,5,6,1,3,2,8,7] => [6,3,1,4,5,2,8,7] => [3,1,4,5,6,2,8,7] => 0100101
[4,5,6,3,1,2,8,7] => [3,1,6,4,5,2,8,7] => [4,5,6,3,1,2,8,7] => 0100101
[4,5,7,3,2,8,1,6] => [8,3,7,4,5,1,2,6] => [4,5,7,3,1,8,2,6] => 0100011
[4,5,7,3,2,8,6,1] => [6,3,8,4,5,7,1,2] => [4,5,7,3,1,8,6,2] => 0100111
[4,6,7,3,8,2,5,1] => [5,8,7,4,2,6,3,1] => [4,6,7,2,8,3,5,1] => 0001011
[4,5,7,1,3,8,2,6] => [7,8,1,4,5,2,3,6] => [4,5,8,1,7,2,3,6] => 0000011
[2,1,5,7,4,8,3,6] => [2,1,8,7,5,3,4,6] => [2,1,5,7,3,8,4,6] => 1000011
[2,1,5,7,4,8,6,3] => [2,1,6,8,5,7,3,4] => [2,1,5,7,3,8,6,4] => 1000111
[3,5,1,7,4,8,6,2] => [5,6,3,8,1,7,2,4] => [3,7,1,8,6,2,5,4] => 0001111
[4,6,7,3,8,5,1,2] => [5,1,8,4,7,6,2,3] => [4,6,7,1,2,8,5,3] => 0001011
[5,6,7,8,3,1,4,2] => [3,8,4,2,5,6,7,1] => [4,2,5,6,7,8,3,1] => 0110001
[4,6,7,1,8,3,5,2] => [7,5,8,4,3,6,1,2] => [4,6,8,3,5,1,7,2] => 0001011
[3,6,1,7,8,4,5,2] => [6,5,3,8,4,1,7,2] => [3,7,8,4,5,1,6,2] => 0001101
[2,1,6,7,8,4,5,3] => [2,1,5,8,4,6,7,3] => [2,1,6,7,8,4,5,3] => 1001001
[2,1,6,7,8,4,3,5] => [2,1,4,8,3,6,7,5] => [2,1,6,7,8,4,3,5] => 1010001
[3,6,1,7,8,4,2,5] => [6,4,3,8,2,1,7,5] => [3,7,8,4,2,6,1,5] => 0010101
[5,6,7,8,1,3,2,4] => [8,3,1,2,5,6,7,4] => [3,1,5,6,7,8,2,4] => 0100001
[4,6,7,2,8,3,1,5] => [3,8,7,4,2,6,1,5] => [4,6,7,2,8,3,1,5] => 0100011
[4,6,7,2,8,3,5,1] => [5,7,8,4,3,6,2,1] => [4,6,8,3,7,2,5,1] => 0001011
[3,6,2,7,8,4,1,5] => [4,8,3,6,2,1,7,5] => [3,6,2,7,8,4,1,5] => 0010101
[3,4,2,1,7,8,5,6] => [2,4,3,1,8,5,7,6] => [3,4,2,1,7,8,5,6] => 1010001
[3,4,1,2,7,8,6,5] => [4,1,3,2,6,8,7,5] => [3,4,1,2,7,8,6,5] => 0010101
[3,6,2,7,8,1,5,4] => [8,6,3,5,1,2,7,4] => [3,5,1,6,2,7,8,4] => 0001101
[3,6,2,7,8,5,1,4] => [5,8,3,2,6,1,7,4] => [3,6,2,7,8,5,1,4] => 0001101
[3,6,2,7,8,5,4,1] => [4,5,3,8,6,2,7,1] => [3,6,2,7,8,5,4,1] => 0011101
[4,6,7,2,8,5,3,1] => [3,5,8,4,7,6,2,1] => [4,6,7,2,8,5,3,1] => 0101011
[4,6,7,2,8,5,1,3] => [5,8,2,4,7,6,1,3] => [4,6,7,2,8,5,1,3] => 0001011
[4,6,7,2,8,1,5,3] => [8,7,5,4,1,6,2,3] => [4,5,1,6,7,2,8,3] => 0001011
[3,5,1,7,2,8,6,4] => [5,7,3,6,1,8,2,4] => [3,8,6,1,7,2,5,4] => 0001111
[2,1,5,7,3,8,6,4] => [2,1,7,6,5,8,3,4] => [2,1,5,8,6,3,7,4] => 1000111
[2,1,6,7,8,3,5,4] => [2,1,8,5,3,6,7,4] => [2,1,5,3,6,7,8,4] => 1001001
[3,6,1,7,8,2,5,4] => [6,8,3,5,2,1,7,4] => [3,5,2,7,8,1,6,4] => 0001101
[4,6,7,1,8,2,5,3] => [7,8,5,4,2,6,1,3] => [4,5,2,6,8,1,7,3] => 0001011
[5,6,7,8,1,2,4,3] => [8,1,4,2,5,6,7,3] => [4,1,2,5,6,7,8,3] => 0010001
[5,6,7,8,2,1,4,3] => [2,8,4,1,5,6,7,3] => [4,2,1,5,6,7,8,3] => 1010001
[5,6,7,8,2,4,1,3] => [4,8,1,2,5,6,7,3] => [5,6,7,8,1,4,2,3] => 0010001
[5,6,7,8,2,4,3,1] => [3,4,8,1,5,6,7,2] => [5,6,7,8,1,4,3,2] => 0110001
[5,6,7,8,1,4,2,3] => [8,4,2,1,5,6,7,3] => [4,2,5,6,7,8,1,3] => 0010001
[4,6,7,1,8,5,2,3] => [7,5,2,4,8,6,1,3] => [4,6,8,5,2,7,1,3] => 0001011
[3,6,1,7,8,5,2,4] => [6,5,3,2,8,1,7,4] => [3,7,8,5,2,6,1,4] => 0001101
[2,1,6,7,8,5,3,4] => [2,1,5,3,8,6,7,4] => [2,1,6,7,8,5,3,4] => 1001001
[3,6,1,7,8,5,4,2] => [6,4,3,5,8,1,7,2] => [3,7,8,5,4,1,6,2] => 0011101
[5,6,7,8,1,4,3,2] => [8,3,4,1,5,6,7,2] => [4,3,1,5,6,7,8,2] => 0110001
[5,6,7,8,4,1,3,2] => [4,3,1,8,5,6,7,2] => [3,1,5,6,7,8,4,2] => 0110001
[3,4,2,1,6,5,8,7,10,9] => [2,4,3,1,6,5,8,7,10,9] => [3,4,2,1,6,5,8,7,10,9] => 101010101
[2,1,5,6,4,3,8,7,10,9] => [2,1,4,6,5,3,8,7,10,9] => [2,1,5,6,4,3,8,7,10,9] => 101010101
[4,5,6,3,2,1,8,7,10,9] => [2,3,6,4,5,1,8,7,10,9] => [4,5,6,3,2,1,8,7,10,9] => 110010101
[2,1,4,3,7,8,6,5,10,9] => [2,1,4,3,6,8,7,5,10,9] => [2,1,4,3,7,8,6,5,10,9] => 101010101
[3,4,2,1,7,8,6,5,10,9] => [2,4,3,1,6,8,7,5,10,9] => [3,4,2,1,7,8,6,5,10,9] => 101010101
[3,6,2,7,8,5,4,1,10,9] => [4,5,3,8,6,2,7,1,10,9] => [3,6,2,7,8,5,4,1,10,9] => 001110101
[2,1,6,7,8,5,4,3,10,9] => [2,1,4,5,8,6,7,3,10,9] => [2,1,6,7,8,5,4,3,10,9] => 101100101
[5,6,7,8,4,3,2,1,10,9] => [2,3,4,8,5,6,7,1,10,9] => [5,6,7,8,4,3,2,1,10,9] => 111000101
[2,1,4,3,6,5,9,10,8,7] => [2,1,4,3,6,5,8,10,9,7] => [2,1,4,3,6,5,9,10,8,7] => 101010101
[3,4,2,1,6,5,9,10,8,7] => [2,4,3,1,6,5,8,10,9,7] => [3,4,2,1,6,5,9,10,8,7] => 101010101
[2,1,5,6,4,3,9,10,8,7] => [2,1,4,6,5,3,8,10,9,7] => [2,1,5,6,4,3,9,10,8,7] => 101010101
[4,5,6,3,2,1,9,10,8,7] => [2,3,6,4,5,1,8,10,9,7] => [4,5,6,3,2,1,9,10,8,7] => 110010101
[4,5,8,3,2,9,10,7,6,1] => [6,3,7,4,5,10,8,2,9,1] => [4,5,8,3,2,9,10,7,6,1] => 010011101
[2,1,5,8,4,9,10,7,6,3] => [2,1,6,7,5,10,8,4,9,3] => [2,1,5,8,4,9,10,7,6,3] => 100011101
[4,7,8,3,9,10,6,5,2,1] => [2,5,6,4,10,8,7,3,9,1] => [4,7,8,3,9,10,6,5,2,1] => 100110101
[2,1,4,3,8,9,10,7,6,5] => [2,1,4,3,6,7,10,8,9,5] => [2,1,4,3,8,9,10,7,6,5] => 101011001
[3,4,2,1,8,9,10,7,6,5] => [2,4,3,1,6,7,10,8,9,5] => [3,4,2,1,8,9,10,7,6,5] => 101011001
[2,1,7,8,9,10,6,5,4,3] => [2,1,4,5,6,10,7,8,9,3] => [2,1,7,8,9,10,6,5,4,3] => 101110001
[6,7,8,9,10,5,4,3,2,1] => [2,3,4,5,10,6,7,8,9,1] => [6,7,8,9,10,5,4,3,2,1] => 111100001
[6,5,8,7,3,4,1,2] => [4,1,7,3,6,5,8,2] => [6,5,8,7,3,4,1,2] => 0010111
[3,6,7,4,5,8,1,2] => [8,1,3,7,4,6,5,2] => [3,6,7,4,5,8,1,2] => 0000011
[1,6,7,4,5,2,3,8] => [1,5,2,7,4,6,3,8] => [1,6,7,4,5,2,3,8] => 0001010
[1,5,4,7,6,2,3,8] => [1,6,2,5,4,7,3,8] => [1,5,4,7,6,2,3,8] => 0001110
[2,5,4,7,6,1,8,3] => [6,2,7,5,4,8,3,1] => [2,5,4,8,3,7,6,1] => 0001111
[3,5,4,7,6,8,1,2] => [8,1,3,5,4,7,6,2] => [3,5,4,7,6,8,1,2] => 0001011
[4,5,3,7,8,6,1,2] => [6,1,5,4,3,8,7,2] => [4,5,3,7,8,6,1,2] => 0001101
[5,4,3,8,7,6,1,2] => [6,1,4,5,3,7,8,2] => [5,4,3,8,7,6,1,2] => 0011111
[6,4,8,3,7,5,1,2] => [5,1,7,8,6,2,4,3] => [6,1,2,8,4,7,5,3] => 0001111
[5,3,4,8,6,7,1,2] => [7,1,5,3,4,8,6,2] => [5,3,4,8,6,7,1,2] => 0001011
[4,3,5,6,8,7,1,2] => [7,1,4,3,5,6,8,2] => [4,3,5,6,8,7,1,2] => 0010011
[3,2,5,6,1,8,7,4] => [6,3,2,7,5,1,8,4] => [3,2,5,8,7,1,6,4] => 0100111
[4,2,5,6,8,1,7,3] => [8,4,7,2,5,6,1,3] => [5,6,7,2,4,1,8,3] => 0010011
[6,2,8,4,5,1,7,3] => [5,6,7,8,4,2,1,3] => [8,4,7,2,6,1,5,3] => 0001111
[7,8,2,4,5,1,6,3] => [5,8,6,2,4,1,7,3] => [6,2,4,7,8,1,5,3] => 0001101
[7,8,1,4,5,2,3,6] => [8,5,2,1,4,3,7,6] => [5,2,4,7,8,1,3,6] => 0001001
[6,1,8,4,5,2,3,7] => [6,5,2,8,4,1,3,7] => [8,4,5,2,6,1,3,7] => 0001101
[5,1,4,8,6,2,3,7] => [5,6,2,1,4,8,3,7] => [8,6,2,4,5,1,3,7] => 0001101
[4,1,3,2,8,6,5,7] => [4,3,1,2,6,8,5,7] => [3,1,4,2,8,6,5,7] => 0110101
[5,1,3,8,2,6,4,7] => [5,8,1,6,3,2,4,7] => [6,1,3,8,2,5,4,7] => 0001101
[6,1,8,3,2,5,4,7] => [6,3,8,5,2,1,4,7] => [5,3,2,8,1,6,4,7] => 0101101
[7,8,1,3,2,5,4,6] => [8,3,1,5,2,4,7,6] => [3,1,5,2,7,8,4,6] => 0101001
[7,8,2,3,1,5,6,4] => [3,8,2,6,1,5,7,4] => [6,2,3,1,5,7,8,4] => 0100101
[7,8,3,2,1,6,5,4] => [2,3,8,5,6,1,7,4] => [6,5,3,2,1,7,8,4] => 1101101
[7,8,4,2,6,1,5,3] => [6,4,8,5,1,3,7,2] => [5,1,7,8,4,3,6,2] => 0011101
[4,5,2,7,8,1,6,3] => [8,5,6,4,2,1,7,3] => [4,6,2,5,1,7,8,3] => 0001101
[1,5,3,7,2,6,4,8] => [1,7,5,6,3,2,4,8] => [1,6,3,5,2,7,4,8] => 0001110
[1,6,7,3,2,5,4,8] => [1,3,7,5,2,6,4,8] => [1,5,3,2,6,7,4,8] => 0101010
[2,6,7,3,1,5,8,4] => [3,2,7,8,1,6,5,4] => [2,6,8,3,1,5,7,4] => 0100011
[3,6,7,2,1,8,5,4] => [2,7,3,5,8,6,1,4] => [3,6,8,5,2,1,7,4] => 1001011
[7,8,5,6,2,1,4,3] => [2,6,4,1,8,5,7,3] => [4,2,1,7,8,5,6,3] => 1010101
[6,5,8,7,1,2,3,4] => [7,1,2,3,6,5,8,4] => [6,5,8,7,1,2,3,4] => 0000111
[5,4,1,8,7,2,3,6] => [4,5,1,7,2,3,8,6] => [8,7,1,5,4,2,3,6] => 0011011
[6,4,8,1,7,2,3,5] => [8,7,2,6,3,4,1,5] => [6,2,3,7,4,8,1,5] => 0000111
[7,8,3,1,2,6,4,5] => [3,1,8,6,4,2,7,5] => [6,4,7,8,3,1,2,5] => 0100101
[5,3,1,8,2,7,4,6] => [3,5,8,7,2,4,1,6] => [7,2,8,4,5,3,1,6] => 0101011
[4,3,1,2,8,7,5,6] => [3,1,4,2,7,5,8,6] => [4,3,1,2,8,7,5,6] => 0110011
[4,2,1,3,8,5,7,6] => [2,4,1,3,8,7,5,6] => [4,2,1,3,7,5,8,6] => 1010011
[7,8,2,1,3,4,6,5] => [2,8,1,3,6,4,7,5] => [6,2,1,3,4,7,8,5] => 1000101
[4,3,1,2,6,5,8,7] => [3,1,4,2,6,5,8,7] => [4,3,1,2,6,5,8,7] => 0110101
[6,3,1,5,2,4,8,7] => [3,6,5,1,2,4,8,7] => [5,1,6,3,2,4,8,7] => 0101101
[7,3,1,5,2,8,4,6] => [3,7,5,8,2,4,1,6] => [8,2,5,4,7,3,1,6] => 0101011
[8,4,5,1,2,7,3,6] => [5,1,7,8,4,3,2,6] => [8,4,7,3,5,1,2,6] => 0001011
[7,4,5,1,2,8,3,6] => [5,1,8,7,4,3,2,6] => [7,4,8,3,5,1,2,6] => 0001011
[6,4,5,1,2,3,8,7] => [5,1,2,6,4,3,8,7] => [6,4,5,1,2,3,8,7] => 0001101
[5,4,6,1,2,3,8,7] => [6,1,2,5,4,3,8,7] => [5,4,6,1,2,3,8,7] => 0001101
[2,1,6,5,3,4,8,7] => [2,1,5,3,6,4,8,7] => [2,1,6,5,3,4,8,7] => 1001101
[3,6,1,5,2,4,8,7] => [6,5,3,2,1,4,8,7] => [3,5,2,6,1,4,8,7] => 0001101
[4,6,5,1,2,3,8,7] => [5,1,2,4,6,3,8,7] => [4,6,5,1,2,3,8,7] => 0001101
[5,6,4,1,2,3,8,7] => [4,1,2,6,5,3,8,7] => [5,6,4,1,2,3,8,7] => 0010101
[6,5,4,1,2,3,8,7] => [4,1,2,5,6,3,8,7] => [6,5,4,1,2,3,8,7] => 0011101
[7,5,4,1,2,8,3,6] => [4,1,5,7,8,3,2,6] => [8,3,7,5,4,1,2,6] => 0011011
[8,6,4,1,7,2,3,5] => [4,6,2,8,3,7,1,5] => [7,2,3,8,6,4,1,5] => 0010111
[5,7,4,1,2,8,3,6] => [4,1,7,8,5,2,3,6] => [5,8,1,2,7,4,3,6] => 0010011
[4,7,5,1,2,8,3,6] => [5,1,7,4,8,2,3,6] => [4,8,1,2,7,5,3,6] => 0001011
[3,7,1,5,2,8,4,6] => [7,5,3,8,1,4,2,6] => [3,8,1,5,4,7,2,6] => 0001011
[2,1,7,5,3,8,4,6] => [2,1,5,7,8,3,4,6] => [2,1,8,3,7,5,4,6] => 1001011
[2,1,8,5,3,7,4,6] => [2,1,5,8,7,3,4,6] => [2,1,7,3,8,5,4,6] => 1001011
[3,8,1,5,2,7,4,6] => [8,5,3,7,1,4,2,6] => [3,7,1,5,4,8,2,6] => 0001011
[4,8,5,1,2,7,3,6] => [5,1,8,4,7,2,3,6] => [4,7,1,2,8,5,3,6] => 0001011
[6,8,4,1,7,2,3,5] => [4,8,1,7,3,6,2,5] => [6,7,1,3,8,4,2,5] => 0010011
[5,8,6,7,1,2,3,4] => [7,1,2,3,5,8,6,4] => [5,8,6,7,1,2,3,4] => 0000011
[3,8,1,6,7,2,4,5] => [8,7,3,2,4,1,6,5] => [3,7,2,4,6,8,1,5] => 0000011
[2,1,8,6,7,3,4,5] => [2,1,7,3,4,8,6,5] => [2,1,8,6,7,3,4,5] => 1000011
[2,1,7,6,8,3,4,5] => [2,1,8,3,4,7,6,5] => [2,1,7,6,8,3,4,5] => 1000011
[3,7,1,6,8,2,4,5] => [7,8,3,2,4,1,6,5] => [3,8,2,4,6,7,1,5] => 0000011
[4,7,6,1,8,2,3,5] => [6,7,1,4,3,8,2,5] => [4,8,1,3,7,6,2,5] => 0000111
[5,7,6,8,1,2,3,4] => [8,1,2,3,5,7,6,4] => [5,7,6,8,1,2,3,4] => 0000011
[5,4,7,1,2,8,3,6] => [7,1,8,5,4,3,2,6] => [5,4,8,3,7,1,2,6] => 0001011
[7,4,6,1,8,2,3,5] => [6,8,2,7,3,4,1,5] => [7,2,3,8,4,6,1,5] => 0000111
[8,4,6,1,7,2,3,5] => [6,7,2,8,3,4,1,5] => [8,2,3,7,4,6,1,5] => 0000111
[7,3,1,6,8,2,4,5] => [3,7,8,1,4,2,6,5] => [8,1,4,6,7,3,2,5] => 0100011
[6,3,1,7,8,2,4,5] => [3,6,8,1,4,2,7,5] => [7,8,1,4,6,3,2,5] => 0100101
[5,3,1,7,2,8,4,6] => [3,5,7,8,2,4,1,6] => [8,2,7,4,5,3,1,6] => 0101011
[4,3,1,2,7,8,5,6] => [3,1,4,2,8,5,7,6] => [4,3,1,2,7,8,5,6] => 0110001
[2,1,4,3,8,7,5,6] => [2,1,4,3,7,5,8,6] => [2,1,4,3,8,7,5,6] => 1010011
[3,4,1,2,8,7,5,6] => [4,1,3,2,7,5,8,6] => [3,4,1,2,8,7,5,6] => 0010011
[6,3,1,8,7,2,4,5] => [3,6,7,1,4,2,8,5] => [8,7,1,4,6,3,2,5] => 0100111
[7,3,1,8,6,2,4,5] => [3,7,6,1,4,8,2,5] => [8,6,1,4,7,3,2,5] => 0100111
[7,4,8,1,6,2,3,5] => [8,6,2,7,3,1,4,5] => [7,2,3,6,1,8,4,5] => 0000111
[5,4,8,1,2,7,3,6] => [8,1,7,5,4,3,2,6] => [5,4,7,3,8,1,2,6] => 0001011
[3,5,1,8,2,7,4,6] => [5,8,3,7,1,4,2,6] => [3,7,1,8,4,5,2,6] => 0001011
[2,1,5,8,3,7,4,6] => [2,1,8,7,5,4,3,6] => [2,1,5,7,4,8,3,6] => 1000011
[2,1,6,8,7,3,4,5] => [2,1,7,3,4,6,8,5] => [2,1,6,8,7,3,4,5] => 1000011
[3,6,1,8,7,2,4,5] => [6,7,3,2,4,1,8,5] => [3,8,7,2,4,6,1,5] => 0000111
[4,6,8,1,7,2,3,5] => [8,7,2,4,3,6,1,5] => [4,6,7,2,3,8,1,5] => 0000011
[5,6,8,7,1,2,3,4] => [7,1,2,3,5,6,8,4] => [5,6,8,7,1,2,3,4] => 0000011
[7,5,8,6,1,2,3,4] => [6,1,2,3,8,7,4,5] => [7,1,2,3,4,8,6,5] => 0000111
[8,5,7,6,1,2,3,4] => [6,1,2,3,7,8,4,5] => [8,1,2,3,4,7,6,5] => 0000111
[5,7,8,6,1,2,3,4] => [6,1,2,3,5,8,7,4] => [5,7,8,6,1,2,3,4] => 0000101
[4,7,8,1,6,2,3,5] => [8,6,2,4,3,1,7,5] => [4,6,2,3,7,8,1,5] => 0000101
[3,7,1,8,6,2,4,5] => [7,6,3,2,4,8,1,5] => [3,8,6,2,4,7,1,5] => 0000111
[2,1,7,8,6,3,4,5] => [2,1,6,3,4,8,7,5] => [2,1,7,8,6,3,4,5] => 1000101
[2,1,8,7,6,3,4,5] => [2,1,6,3,4,7,8,5] => [2,1,8,7,6,3,4,5] => 1000111
[3,8,1,7,6,2,4,5] => [8,6,3,2,4,7,1,5] => [3,7,6,2,4,8,1,5] => 0000111
[5,8,7,6,1,2,3,4] => [6,1,2,3,5,7,8,4] => [5,8,7,6,1,2,3,4] => 0000111
[6,8,7,5,1,2,3,4] => [5,1,2,3,7,6,8,4] => [6,8,7,5,1,2,3,4] => 0001011
[6,4,7,3,8,5,1,2] => [5,1,8,7,6,2,4,3] => [6,1,2,7,4,8,5,3] => 0001111
[6,4,7,3,5,8,1,2] => [8,1,7,6,3,4,5,2] => [6,3,7,4,5,8,1,2] => 0000111
[6,4,7,2,5,1,8,3] => [5,7,8,6,2,4,1,3] => [6,2,8,4,7,1,5,3] => 0001111
[5,4,2,7,6,1,8,3] => [6,4,5,7,3,8,2,1] => [8,3,5,4,2,7,6,1] => 0011111
[5,4,3,7,6,8,1,2] => [8,1,4,5,3,7,6,2] => [5,4,3,7,6,8,1,2] => 0011011
[5,4,3,7,8,6,1,2] => [6,1,4,5,3,8,7,2] => [5,4,3,7,8,6,1,2] => 0011101
[6,4,8,3,5,7,1,2] => [7,1,8,6,3,4,5,2] => [6,3,8,4,5,7,1,2] => 0000111
[5,4,3,8,6,7,1,2] => [7,1,4,5,3,8,6,2] => [5,4,3,8,6,7,1,2] => 0011011
[5,4,3,6,8,7,1,2] => [7,1,4,5,3,6,8,2] => [5,4,3,6,8,7,1,2] => 0011011
[5,4,2,6,7,1,8,3] => [7,4,5,8,3,6,1,2] => [6,8,3,5,4,1,7,2] => 0011011
[5,4,2,6,7,1,3,8] => [7,4,1,5,2,6,3,8] => [5,4,1,6,7,2,3,8] => 0011010
[5,3,2,6,1,7,4,8] => [6,3,5,7,2,1,4,8] => [7,3,2,5,1,6,4,8] => 0101110
[5,3,2,6,1,8,7,4] => [6,3,5,7,2,1,8,4] => [8,7,3,2,5,1,6,4] => 0101111
[5,4,2,8,6,1,7,3] => [6,4,5,8,3,7,2,1] => [7,3,5,4,2,8,6,1] => 0011111
[6,4,8,2,5,1,7,3] => [5,8,7,6,2,4,1,3] => [6,2,7,4,8,1,5,3] => 0001111
[7,8,4,2,5,1,6,3] => [5,4,8,6,3,1,7,2] => [6,3,7,8,4,1,5,2] => 0011101
[7,8,4,2,5,1,3,6] => [5,4,1,8,2,3,7,6] => [7,8,4,1,5,2,3,6] => 0011001
[5,3,2,6,1,8,4,7] => [6,3,5,8,2,1,4,7] => [8,3,2,5,1,6,4,7] => 0101101
[4,3,2,1,6,8,5,7] => [2,3,4,1,8,6,5,7] => [4,3,2,1,6,8,5,7] => 1110001
[4,3,2,1,8,6,5,7] => [2,3,4,1,6,8,5,7] => [4,3,2,1,8,6,5,7] => 1110101
[5,3,2,8,1,6,4,7] => [8,3,5,6,2,1,4,7] => [6,3,2,5,1,8,4,7] => 0101101
[6,3,8,2,1,5,4,7] => [2,8,6,5,1,3,4,7] => [5,2,1,6,3,8,4,7] => 1001101
[7,8,3,2,1,5,4,6] => [2,3,8,5,1,4,7,6] => [5,3,2,1,7,8,4,6] => 1101001
[6,3,8,2,1,5,7,4] => [2,8,6,7,1,3,5,4] => [7,2,1,6,3,5,8,4] => 1000111
[5,3,2,8,1,6,7,4] => [8,3,5,7,2,1,6,4] => [7,3,2,5,1,6,8,4] => 0101011
[5,4,2,7,8,1,6,3] => [8,4,5,6,3,1,7,2] => [6,3,5,4,1,7,8,2] => 0011101
[5,3,2,7,1,6,8,4] => [7,3,5,8,2,1,6,4] => [8,3,2,5,1,6,7,4] => 0101011
[5,3,2,7,1,6,4,8] => [7,3,5,6,2,1,4,8] => [6,3,2,5,1,7,4,8] => 0101110
[6,3,7,2,1,5,4,8] => [2,7,6,5,1,3,4,8] => [5,2,1,6,3,7,4,8] => 1001110
[6,3,7,2,1,5,8,4] => [2,7,6,8,1,3,5,4] => [8,2,1,6,3,5,7,4] => 1000111
[6,3,7,2,1,8,5,4] => [2,7,6,5,8,3,1,4] => [8,5,3,6,2,1,7,4] => 1001111
[6,4,7,2,8,1,5,3] => [8,7,5,6,1,4,2,3] => [6,1,5,4,7,2,8,3] => 0001111
[6,5,7,8,2,1,4,3] => [2,8,4,1,6,5,7,3] => [4,2,1,6,5,7,8,3] => 1010101
[6,5,8,7,2,1,3,4] => [2,7,1,3,6,5,8,4] => [6,5,8,7,2,1,3,4] => 1000111
[6,3,7,2,1,8,4,5] => [2,7,6,8,4,3,1,5] => [8,4,6,3,7,2,1,5] => 1000111
[5,3,2,7,1,4,8,6] => [7,3,5,1,2,8,4,6] => [5,3,1,8,2,4,7,6] => 0101011
[5,4,2,8,7,1,3,6] => [7,4,1,5,2,3,8,6] => [5,4,1,8,7,2,3,6] => 0011011
[7,8,4,2,6,1,3,5] => [6,4,1,8,3,2,7,5] => [7,8,4,1,3,6,2,5] => 0010101
[7,8,3,2,1,6,4,5] => [2,3,8,6,4,1,7,5] => [6,4,7,8,3,2,1,5] => 1100101
[6,3,8,2,1,7,4,5] => [2,8,6,7,4,3,1,5] => [7,4,6,3,8,2,1,5] => 1000111
[5,3,2,8,1,7,4,6] => [8,3,5,7,2,4,1,6] => [7,3,2,5,4,8,1,6] => 0101011
[4,3,2,1,8,7,5,6] => [2,3,4,1,7,5,8,6] => [4,3,2,1,8,7,5,6] => 1110011
[4,3,2,1,7,5,8,6] => [2,3,4,1,7,8,5,6] => [4,3,2,1,8,5,7,6] => 1110011
[4,3,2,1,7,5,6,8] => [2,3,4,1,7,5,6,8] => [4,3,2,1,7,5,6,8] => 1110010
[4,3,2,1,8,5,7,6] => [2,3,4,1,8,7,5,6] => [4,3,2,1,7,5,8,6] => 1110011
[6,3,8,2,1,4,7,5] => [2,8,6,1,7,3,4,5] => [7,2,1,6,3,4,8,5] => 1000111
[7,8,3,2,1,4,6,5] => [2,3,8,1,6,4,7,5] => [6,3,2,1,4,7,8,5] => 1100101
[6,3,8,2,1,4,5,7] => [2,8,6,1,4,3,5,7] => [6,2,1,4,8,3,5,7] => 1000101
[4,3,2,1,8,5,6,7] => [2,3,4,1,8,5,6,7] => [4,3,2,1,8,5,6,7] => 1110001
[4,3,2,1,5,8,6,7] => [2,3,4,1,5,8,6,7] => [4,3,2,1,5,8,6,7] => 1110001
[7,8,5,6,1,2,4,3] => [6,1,4,2,8,5,7,3] => [4,1,2,7,8,5,6,3] => 0010101
[7,8,4,1,6,2,5,3] => [4,8,6,5,3,2,7,1] => [5,3,6,2,7,8,4,1] => 0011101
[7,8,1,4,6,2,5,3] => [8,6,5,1,2,4,7,3] => [5,1,6,2,4,7,8,3] => 0001101
[1,6,8,4,7,2,5,3] => [1,7,5,8,2,6,4,3] => [1,6,8,2,5,4,7,3] => 0001011
[6,1,8,3,2,7,5,4] => [6,3,8,5,7,1,2,4] => [7,5,3,1,8,2,6,4] => 0101111
[7,8,1,3,2,6,5,4] => [8,3,1,5,6,2,7,4] => [3,1,6,5,2,7,8,4] => 0101101
[7,8,3,1,2,6,5,4] => [3,1,8,5,6,2,7,4] => [6,5,3,1,2,7,8,4] => 0101101
[7,8,3,4,6,5,1,2] => [5,1,6,2,8,4,7,3] => [7,8,1,2,4,6,5,3] => 0001101
[7,8,2,4,6,1,5,3] => [6,8,5,2,1,4,7,3] => [5,2,7,8,1,4,6,3] => 0001101
[7,8,2,3,1,6,5,4] => [3,8,2,5,6,1,7,4] => [6,5,2,3,1,7,8,4] => 0101101
[7,8,2,1,3,6,5,4] => [2,8,1,5,6,3,7,4] => [6,5,2,1,3,7,8,4] => 1001101
[7,8,1,2,3,6,5,4] => [8,1,2,5,6,3,7,4] => [6,5,1,2,3,7,8,4] => 0001101
[1,6,8,2,3,7,5,4] => [1,8,2,5,7,6,3,4] => [1,6,7,5,2,3,8,4] => 0001011
[1,5,2,8,3,7,6,4] => [1,5,8,6,2,7,3,4] => [1,7,6,2,8,3,5,4] => 0001111
[5,1,2,8,3,7,6,4] => [5,1,8,6,2,7,3,4] => [7,6,1,2,8,3,5,4] => 0001111
[5,2,1,8,3,7,6,4] => [2,5,8,6,1,7,3,4] => [7,6,2,1,8,3,5,4] => 1001111
[6,2,8,1,3,7,5,4] => [8,6,1,5,7,2,3,4] => [7,5,1,6,2,3,8,4] => 0001111
[6,2,8,3,1,7,5,4] => [3,8,6,5,7,1,2,4] => [7,5,1,6,3,2,8,4] => 0101111
[6,2,8,4,7,1,5,3] => [7,6,5,8,1,2,4,3] => [8,1,5,2,6,4,7,3] => 0001111
[3,6,8,4,7,5,1,2] => [5,1,3,7,8,6,2,4] => [3,6,8,1,2,7,5,4] => 0001011
[2,6,8,4,7,1,5,3] => [7,2,5,8,1,6,4,3] => [2,6,8,1,5,4,7,3] => 0001011
[2,6,8,1,3,7,5,4] => [8,2,1,5,7,6,3,4] => [2,6,7,5,1,3,8,4] => 0001011
[2,4,1,3,8,7,6,5] => [4,2,1,3,6,7,8,5] => [2,4,1,3,8,7,6,5] => 0010111
[3,5,4,8,7,6,1,2] => [6,1,3,5,4,7,8,2] => [3,5,4,8,7,6,1,2] => 0001111
[5,3,4,8,7,6,1,2] => [6,1,5,3,4,7,8,2] => [5,3,4,8,7,6,1,2] => 0001111
[5,2,4,8,7,1,6,3] => [7,5,6,2,4,1,8,3] => [6,2,4,5,1,8,7,3] => 0001111
[4,2,1,3,8,7,6,5] => [2,4,1,3,6,7,8,5] => [4,2,1,3,8,7,6,5] => 1010111
[4,1,2,3,8,7,6,5] => [4,1,2,3,6,7,8,5] => [4,1,2,3,8,7,6,5] => 0010111
[1,4,2,3,8,7,6,5] => [1,4,2,3,6,7,8,5] => [1,4,2,3,8,7,6,5] => 0010111
[4,1,3,2,8,7,6,5] => [4,3,1,2,6,7,8,5] => [3,1,4,2,8,7,6,5] => 0110111
[4,3,1,2,8,7,6,5] => [3,1,4,2,6,7,8,5] => [4,3,1,2,8,7,6,5] => 0110111
[6,3,8,1,2,7,5,4] => [8,1,6,5,7,3,2,4] => [7,5,3,6,1,2,8,4] => 0001111
[5,1,3,8,2,7,6,4] => [5,8,1,6,3,7,2,4] => [7,6,1,3,8,2,5,4] => 0001111
[1,5,4,8,7,2,6,3] => [1,7,6,5,4,2,8,3] => [1,5,4,6,2,8,7,3] => 0001111
[5,1,4,8,7,2,6,3] => [5,7,6,1,4,2,8,3] => [6,1,4,8,7,2,5,3] => 0001111
[5,4,1,8,7,2,6,3] => [4,5,7,6,2,3,8,1] => [6,2,8,7,3,5,4,1] => 0011111
[6,4,8,1,7,2,5,3] => [8,7,5,6,2,4,1,3] => [6,2,5,4,7,1,8,3] => 0001111
[6,5,8,7,1,2,4,3] => [7,1,4,2,6,5,8,3] => [4,1,2,6,5,8,7,3] => 0010111
[5,6,8,7,3,4,1,2] => [4,1,7,3,5,6,8,2] => [5,6,8,7,3,4,1,2] => 0010011
[5,6,8,7,2,1,4,3] => [2,7,4,1,5,6,8,3] => [4,2,1,5,6,8,7,3] => 1010011
[4,5,1,8,7,2,6,3] => [5,7,6,4,1,2,8,3] => [4,6,1,8,7,2,5,3] => 0001111
[4,1,5,8,7,2,6,3] => [4,7,6,1,5,2,8,3] => [5,6,1,8,7,2,4,3] => 0010111
[1,3,5,8,2,7,6,4] => [1,8,3,6,5,7,2,4] => [1,3,5,7,6,2,8,4] => 0000111
[3,1,5,8,2,7,6,4] => [3,8,1,6,5,7,2,4] => [5,7,6,1,3,2,8,4] => 0100111
[3,6,8,1,2,7,5,4] => [8,1,3,5,7,6,2,4] => [3,6,7,5,1,2,8,4] => 0001011
[3,6,8,2,1,7,5,4] => [2,8,3,5,7,6,1,4] => [3,6,7,5,2,1,8,4] => 1001011
[4,6,8,2,7,1,5,3] => [7,8,5,4,1,6,2,3] => [4,5,1,6,8,2,7,3] => 0001011
[4,6,8,3,7,5,1,2] => [5,1,7,4,8,6,2,3] => [4,6,8,1,2,7,5,3] => 0001011
[4,5,3,8,7,6,1,2] => [6,1,5,4,3,7,8,2] => [4,5,3,8,7,6,1,2] => 0001111
[4,5,2,8,7,1,6,3] => [7,5,6,4,2,1,8,3] => [4,6,2,5,1,8,7,3] => 0001111
[3,1,4,2,8,7,6,5] => [3,4,1,2,6,7,8,5] => [4,1,3,2,8,7,6,5] => 0110111
[3,1,2,4,8,7,6,5] => [3,1,2,4,6,7,8,5] => [3,1,2,4,8,7,6,5] => 0100111
[3,2,5,8,1,7,6,4] => [8,3,2,6,5,7,1,4] => [3,2,5,7,6,1,8,4] => 0100111
[4,2,5,8,7,1,6,3] => [7,4,6,2,5,1,8,3] => [5,6,2,4,1,8,7,3] => 0010111
[4,3,5,8,7,6,1,2] => [6,1,4,3,5,7,8,2] => [4,3,5,8,7,6,1,2] => 0010111
[3,4,5,8,7,6,1,2] => [6,1,3,4,5,7,8,2] => [3,4,5,8,7,6,1,2] => 0000111
[2,4,5,8,7,1,6,3] => [7,2,6,4,5,1,8,3] => [2,4,5,6,1,8,7,3] => 0000111
[2,3,5,8,1,7,6,4] => [8,2,3,6,5,7,1,4] => [2,3,5,7,6,1,8,4] => 0000111
[4,1,3,2,6,5,8,7] => [4,3,1,2,6,5,8,7] => [3,1,4,2,6,5,8,7] => 0110101
[5,1,3,2,6,4,8,7] => [5,3,1,6,2,4,8,7] => [3,1,6,2,5,4,8,7] => 0101101
[6,1,3,2,5,4,8,7] => [6,3,1,5,2,4,8,7] => [3,1,5,2,6,4,8,7] => 0101101
[7,1,3,2,5,4,8,6] => [7,3,1,5,2,8,4,6] => [3,1,5,2,8,4,7,6] => 0101011
[8,1,3,2,5,4,7,6] => [8,3,1,5,2,7,4,6] => [3,1,5,2,7,4,8,6] => 0101011
[8,1,4,2,5,3,7,6] => [8,4,5,1,2,7,3,6] => [5,1,4,2,7,3,8,6] => 0011011
[7,1,4,2,5,3,8,6] => [7,4,5,1,2,8,3,6] => [5,1,4,2,8,3,7,6] => 0011011
[6,1,4,2,5,3,8,7] => [6,4,5,1,2,3,8,7] => [5,1,4,2,6,3,8,7] => 0011101
[5,1,4,2,6,3,8,7] => [5,4,6,1,2,3,8,7] => [6,1,4,2,5,3,8,7] => 0011101
[2,1,6,3,5,4,8,7] => [2,1,6,5,3,4,8,7] => [2,1,5,3,6,4,8,7] => 1001101
[3,1,6,2,5,4,8,7] => [3,6,1,5,2,4,8,7] => [5,1,3,2,6,4,8,7] => 0101101
[4,1,6,2,5,3,8,7] => [4,6,5,1,2,3,8,7] => [5,1,6,2,4,3,8,7] => 0011101
[6,2,5,1,4,3,8,7] => [5,6,4,1,2,3,8,7] => [4,1,6,2,5,3,8,7] => 0011101
[5,2,6,1,4,3,8,7] => [6,5,4,1,2,3,8,7] => [4,1,5,2,6,3,8,7] => 0011101
[5,2,7,1,4,3,8,6] => [7,5,4,1,2,8,3,6] => [4,1,5,2,8,3,7,6] => 0011011
[5,2,8,1,4,3,7,6] => [8,5,4,1,2,7,3,6] => [4,1,5,2,7,3,8,6] => 0011011
[6,2,8,1,4,3,7,5] => [8,6,4,1,7,2,3,5] => [4,1,7,2,6,3,8,5] => 0010111
[6,2,7,1,4,3,8,5] => [7,6,4,1,8,2,3,5] => [4,1,8,2,6,3,7,5] => 0010111
[7,2,5,1,4,3,8,6] => [5,7,4,1,2,8,3,6] => [4,1,8,2,5,3,7,6] => 0011011
[3,1,7,2,5,4,8,6] => [3,7,1,5,2,8,4,6] => [5,1,3,2,8,4,7,6] => 0101011
[2,1,7,3,5,4,8,6] => [2,1,7,5,3,8,4,6] => [2,1,5,3,8,4,7,6] => 1001011
[2,1,8,3,5,4,7,6] => [2,1,8,5,3,7,4,6] => [2,1,5,3,7,4,8,6] => 1001011
[3,1,8,2,5,4,7,6] => [3,8,1,5,2,7,4,6] => [5,1,3,2,7,4,8,6] => 0101011
[4,1,8,2,5,3,7,6] => [4,8,5,1,2,7,3,6] => [5,1,7,2,4,3,8,6] => 0011011
[8,2,5,1,4,3,7,6] => [5,8,4,1,2,7,3,6] => [4,1,7,2,5,3,8,6] => 0011011
[8,2,6,1,4,3,7,5] => [6,8,4,1,7,2,3,5] => [4,1,7,2,8,3,6,5] => 0010111
[7,1,4,3,8,2,6,5] => [7,8,4,1,6,2,3,5] => [4,1,6,2,8,3,7,5] => 0010111
[8,1,4,3,7,2,6,5] => [8,7,4,1,6,2,3,5] => [4,1,6,2,7,3,8,5] => 0010111
[8,1,5,3,7,2,6,4] => [8,7,5,6,1,2,3,4] => [6,1,5,2,7,3,8,4] => 0001111
[7,1,5,3,8,2,6,4] => [7,8,5,6,1,2,3,4] => [6,1,5,2,8,3,7,4] => 0001111
[8,2,6,1,5,3,7,4] => [6,8,5,7,1,2,3,4] => [7,1,5,2,8,3,6,4] => 0001111
[3,1,8,2,6,4,7,5] => [3,8,1,6,7,2,4,5] => [7,1,3,2,6,4,8,5] => 0100111
[2,1,8,3,6,4,7,5] => [2,1,8,6,7,3,4,5] => [2,1,7,3,6,4,8,5] => 1000111
[2,1,7,3,6,4,8,5] => [2,1,7,6,8,3,4,5] => [2,1,8,3,6,4,7,5] => 1000111
[7,2,6,1,5,3,8,4] => [6,7,5,8,1,2,3,4] => [8,1,5,2,7,3,6,4] => 0001111
[6,2,7,1,5,3,8,4] => [7,6,5,8,1,2,3,4] => [8,1,5,2,6,3,7,4] => 0001111
[6,2,8,1,5,3,7,4] => [8,6,5,7,1,2,3,4] => [7,1,5,2,6,3,8,4] => 0001111
[6,1,4,2,7,3,8,5] => [6,4,7,1,8,2,3,5] => [8,1,4,2,7,3,6,5] => 0010111
[8,1,4,2,6,3,7,5] => [8,4,6,1,7,2,3,5] => [7,1,4,2,6,3,8,5] => 0010111
[8,1,3,2,6,4,7,5] => [8,3,1,6,7,2,4,5] => [3,1,7,2,6,4,8,5] => 0100111
[7,1,3,2,6,4,8,5] => [7,3,1,6,8,2,4,5] => [3,1,8,2,6,4,7,5] => 0100111
[6,1,3,2,7,4,8,5] => [6,3,1,7,8,2,4,5] => [3,1,8,2,7,4,6,5] => 0100111
[5,1,3,2,7,4,8,6] => [5,3,1,7,2,8,4,6] => [3,1,8,2,5,4,7,6] => 0101011
[4,1,3,2,7,5,8,6] => [4,3,1,2,7,8,5,6] => [3,1,4,2,8,5,7,6] => 0110011
[2,1,4,3,8,5,7,6] => [2,1,4,3,8,7,5,6] => [2,1,4,3,7,5,8,6] => 1010011
[3,1,4,2,8,5,7,6] => [3,4,1,2,8,7,5,6] => [4,1,3,2,7,5,8,6] => 0110011
[4,1,3,2,8,5,7,6] => [4,3,1,2,8,7,5,6] => [3,1,4,2,7,5,8,6] => 0110011
[5,1,3,2,8,4,7,6] => [5,3,1,8,2,7,4,6] => [3,1,7,2,5,4,8,6] => 0101011
[6,1,3,2,8,4,7,5] => [6,3,1,8,7,2,4,5] => [3,1,7,2,8,4,6,5] => 0100111
[8,4,7,1,3,2,6,5] => [7,3,1,8,6,2,4,5] => [3,1,6,2,8,4,7,5] => 0100111
[7,4,8,1,3,2,6,5] => [8,3,1,7,6,2,4,5] => [3,1,6,2,7,4,8,5] => 0100111
[7,3,8,1,4,2,6,5] => [8,4,7,1,6,2,3,5] => [6,1,4,2,7,3,8,5] => 0010111
[8,3,7,1,4,2,6,5] => [7,4,8,1,6,2,3,5] => [6,1,4,2,8,3,7,5] => 0010111
[6,1,4,2,8,3,7,5] => [6,4,8,1,7,2,3,5] => [7,1,4,2,8,3,6,5] => 0010111
[5,1,4,2,8,3,7,6] => [5,4,8,1,2,7,3,6] => [7,1,4,2,5,3,8,6] => 0011011
[3,1,5,2,8,4,7,6] => [3,5,1,8,2,7,4,6] => [7,1,3,2,5,4,8,6] => 0101011
[2,1,5,3,8,4,7,6] => [2,1,5,8,3,7,4,6] => [2,1,7,3,5,4,8,6] => 1001011
[2,1,6,3,8,4,7,5] => [2,1,6,8,7,3,4,5] => [2,1,7,3,8,4,6,5] => 1000111
[4,1,6,2,8,3,7,5] => [4,6,8,1,7,2,3,5] => [7,1,8,2,4,3,6,5] => 0010111
[6,1,5,2,8,3,7,4] => [6,5,8,7,1,2,3,4] => [7,1,8,2,5,3,6,4] => 0001111
[6,2,7,3,8,1,5,4] => [8,6,7,5,1,2,3,4] => [5,1,7,2,6,3,8,4] => 0001111
[6,2,8,3,7,1,5,4] => [7,6,8,5,1,2,3,4] => [5,1,8,2,6,3,7,4] => 0001111
[3,1,8,4,7,2,6,5] => [3,7,1,8,6,2,4,5] => [6,1,3,2,8,4,7,5] => 0100111
[2,1,8,4,7,3,6,5] => [2,1,7,8,6,3,4,5] => [2,1,6,3,8,4,7,5] => 1000111
[2,1,7,4,8,3,6,5] => [2,1,8,7,6,3,4,5] => [2,1,6,3,7,4,8,5] => 1000111
[3,1,7,4,8,2,6,5] => [3,8,1,7,6,2,4,5] => [6,1,3,2,7,4,8,5] => 0100111
[5,1,7,3,8,2,6,4] => [5,8,7,6,1,2,3,4] => [6,1,7,2,8,3,5,4] => 0001111
[7,3,8,2,6,1,5,4] => [6,8,7,5,1,2,3,4] => [5,1,7,2,8,3,6,4] => 0001111
[8,2,6,3,7,1,5,4] => [7,8,6,5,1,2,3,4] => [5,1,6,2,8,3,7,4] => 0001111
[7,2,6,3,8,1,5,4] => [8,7,6,5,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0001111
[3,4,2,6,8,1,5,7] => [8,4,3,2,1,6,5,7] => [3,4,2,6,8,1,5,7] => 0010001
[5,3,6,2,8,1,4,7] => [8,6,5,1,3,2,4,7] => [5,1,6,3,8,2,4,7] => 0001101
[5,7,3,8,2,4,1,6] => [4,8,7,2,5,1,3,6] => [5,7,2,8,1,4,3,6] => 0010011
[5,7,3,8,2,4,6,1] => [6,8,7,2,5,4,3,1] => [5,7,2,4,8,3,6,1] => 0000111
[7,4,2,5,8,3,6,1] => [6,4,7,8,3,2,5,1] => [8,3,7,4,2,5,6,1] => 0010111
[7,4,2,5,8,3,1,6] => [3,8,4,7,1,2,5,6] => [7,4,1,8,3,2,5,6] => 0110011
[4,5,2,6,3,8,1,7] => [8,5,6,4,2,3,1,7] => [4,6,2,5,3,8,1,7] => 0001101
[5,3,1,6,8,2,4,7] => [3,5,8,1,2,6,4,7] => [6,8,1,5,3,2,4,7] => 0101001
[4,5,1,6,3,8,2,7] => [5,8,6,4,1,3,2,7] => [4,6,1,8,3,5,2,7] => 0001101
[4,5,6,3,2,8,1,7] => [8,3,6,4,5,2,1,7] => [4,5,6,3,2,8,1,7] => 0100101
[7,4,5,3,8,2,6,1] => [6,8,5,7,4,2,3,1] => [7,4,5,2,8,3,6,1] => 0001111
[6,7,4,8,3,2,5,1] => [5,3,8,7,2,6,4,1] => [6,7,3,2,8,4,5,1] => 0101011
[6,7,4,8,3,2,1,5] => [2,3,8,7,1,6,4,5] => [6,7,3,2,1,8,4,5] => 1100011
[7,4,5,3,1,8,2,6] => [3,5,8,7,4,1,2,6] => [7,4,8,1,5,3,2,6] => 0101011
[4,7,1,5,8,3,2,6] => [7,3,8,4,1,2,5,6] => [4,8,3,1,7,2,5,6] => 0100011
[7,5,8,2,4,6,1,3] => [6,8,1,2,7,4,5,3] => [7,1,4,8,5,6,2,3] => 0000111
[4,5,1,7,8,3,6,2] => [5,6,8,4,1,3,7,2] => [4,7,8,1,6,3,5,2] => 0001101
[6,7,4,3,8,1,5,2] => [8,5,4,7,1,6,3,2] => [6,7,4,1,5,3,8,2] => 0011011
[6,7,4,8,3,5,2,1] => [2,5,8,7,3,6,4,1] => [6,7,3,8,4,5,2,1] => 1001011
[5,6,7,3,8,4,2,1] => [2,4,8,7,5,6,1,3] => [5,6,7,2,1,8,4,3] => 1010011
[5,6,7,3,1,8,4,2] => [3,7,4,8,5,6,2,1] => [5,6,8,4,2,7,3,1] => 0110011
[5,6,1,7,3,8,4,2] => [6,4,8,7,5,1,2,3] => [5,7,1,8,4,2,6,3] => 0010111
[6,4,7,1,8,3,5,2] => [7,5,8,6,3,4,1,2] => [6,3,8,4,5,1,7,2] => 0001111
[6,7,2,8,4,5,1,3] => [5,7,1,8,4,6,2,3] => [6,8,4,7,1,5,2,3] => 0001011
[6,7,2,8,4,1,3,5] => [4,8,2,7,3,6,1,5] => [6,7,2,3,8,4,1,5] => 0010011
[6,1,7,4,8,3,2,5] => [6,3,8,7,2,1,4,5] => [7,3,2,8,1,6,4,5] => 0100111
[5,1,6,7,3,2,8,4] => [5,3,7,8,1,6,2,4] => [6,8,3,1,7,2,5,4] => 0101011
[5,6,7,3,2,1,8,4] => [2,3,7,8,5,6,1,4] => [5,6,8,3,2,1,7,4] => 1100011
[5,6,7,3,2,8,4,1] => [4,3,8,7,5,6,1,2] => [5,6,7,3,1,8,4,2] => 0110011
[5,6,2,7,3,8,4,1] => [4,8,6,7,5,3,1,2] => [5,7,3,6,1,8,4,2] => 0010111
[5,6,2,1,7,3,8,4] => [2,6,7,8,5,1,3,4] => [5,8,2,1,7,3,6,4] => 1000111
[7,5,8,2,1,3,4,6] => [2,8,1,3,7,4,5,6] => [7,2,1,3,4,8,5,6] => 1000011
[5,7,3,1,8,2,4,6] => [3,7,8,1,5,4,2,6] => [5,8,1,4,7,3,2,6] => 0100011
[4,7,1,5,2,8,3,6] => [7,5,8,4,1,3,2,6] => [4,8,1,5,3,7,2,6] => 0001011
[6,7,4,2,1,8,3,5] => [2,4,7,8,1,6,3,5] => [6,8,2,1,7,4,3,5] => 1010011
[6,7,4,2,8,3,1,5] => [3,8,4,7,2,6,1,5] => [6,7,4,2,8,3,1,5] => 0110011
[6,7,4,2,8,3,5,1] => [5,4,7,8,2,6,3,1] => [6,8,2,7,4,3,5,1] => 0011011
[3,6,7,2,8,4,5,1] => [5,7,3,8,4,6,2,1] => [3,6,8,4,7,2,5,1] => 0001011
[3,6,7,2,8,4,1,5] => [4,8,3,7,2,6,1,5] => [3,6,7,2,8,4,1,5] => 0010011
[3,6,7,2,1,8,4,5] => [2,7,3,8,4,6,1,5] => [3,6,8,4,7,2,1,5] => 1000011
[3,4,7,8,2,1,5,6] => [2,8,3,4,1,5,7,6] => [3,4,7,8,2,1,5,6] => 1000001
[3,7,8,1,4,6,2,5] => [8,6,3,1,2,4,7,5] => [3,6,1,7,8,2,4,5] => 0000101
[3,4,7,8,2,6,1,5] => [6,8,3,4,1,2,7,5] => [3,4,7,8,1,6,2,5] => 0000101
[5,7,3,8,2,6,1,4] => [6,8,7,1,5,2,3,4] => [5,7,1,8,2,6,3,4] => 0000111
[3,6,7,2,8,5,1,4] => [5,8,3,2,7,6,1,4] => [3,6,7,2,8,5,1,4] => 0001011
[3,6,7,8,5,2,1,4] => [2,5,3,1,8,6,7,4] => [3,6,7,8,5,2,1,4] => 1001001
[3,6,7,8,5,2,4,1] => [4,5,3,2,8,6,7,1] => [3,6,7,8,5,2,4,1] => 0011001
[6,4,7,8,2,5,3,1] => [3,5,8,6,1,4,7,2] => [6,1,7,8,4,5,3,2] => 0101101
[4,1,5,7,8,2,6,3] => [4,8,6,1,5,2,7,3] => [5,6,1,7,8,2,4,3] => 0010101
[6,4,1,7,8,2,5,3] => [4,6,8,5,3,2,7,1] => [5,3,7,8,2,6,4,1] => 0011101
[5,1,6,2,7,8,4,3] => [5,6,4,8,1,2,7,3] => [7,8,4,1,6,2,5,3] => 0011101
[5,6,2,7,8,4,3,1] => [3,4,8,6,5,2,7,1] => [5,6,2,7,8,4,3,1] => 0110101
[5,6,7,2,8,4,3,1] => [3,4,8,7,5,6,2,1] => [5,6,7,2,8,4,3,1] => 0110011
[5,6,7,2,1,8,4,3] => [2,7,4,8,5,6,1,3] => [5,6,8,4,2,1,7,3] => 1010011
[5,6,1,7,2,8,4,3] => [6,7,4,8,5,1,2,3] => [5,8,4,1,7,2,6,3] => 0010111
[5,1,6,7,2,8,4,3] => [5,7,4,8,1,6,2,3] => [6,8,4,1,7,2,5,3] => 0011011
[6,7,8,5,2,4,1,3] => [4,5,1,2,8,6,7,3] => [6,7,8,5,1,4,2,3] => 0011001
[6,7,8,3,5,1,4,2] => [5,4,8,1,3,6,7,2] => [6,7,8,1,4,3,5,2] => 0011001
[4,6,7,8,1,5,3,2] => [8,3,5,4,1,6,7,2] => [4,5,3,1,6,7,8,2] => 0101001
[5,1,6,7,8,4,3,2] => [5,3,4,8,1,6,7,2] => [6,7,8,4,3,1,5,2] => 0111001
[5,6,1,7,8,4,3,2] => [6,3,4,8,5,1,7,2] => [5,7,8,4,3,1,6,2] => 0110101
[5,6,7,1,8,4,3,2] => [7,3,4,8,5,6,1,2] => [5,6,8,4,3,1,7,2] => 0110011
[8,6,1,3,4,2,5,7] => [6,4,1,3,2,8,5,7] => [4,1,3,8,6,2,5,7] => 0010101
[7,5,3,8,2,4,6,1] => [6,8,5,2,7,4,3,1] => [7,5,2,4,8,3,6,1] => 0001111
[7,2,4,5,8,3,6,1] => [6,7,8,2,4,3,5,1] => [8,2,4,7,3,5,6,1] => 0000111
[2,4,5,3,7,1,8,6] => [7,2,5,4,3,8,1,6] => [2,4,5,3,8,1,7,6] => 0001011
[8,2,4,5,6,3,1,7] => [3,6,8,1,4,5,2,7] => [8,1,4,5,6,3,2,7] => 0100101
[8,2,4,5,6,1,3,7] => [6,8,1,2,4,5,3,7] => [8,1,4,5,6,2,3,7] => 0000101
[8,5,6,2,1,4,3,7] => [2,6,4,1,8,5,3,7] => [4,2,1,8,5,6,3,7] => 1010101
[8,5,3,6,4,1,2,7] => [4,1,6,5,8,2,3,7] => [8,5,1,2,6,4,3,7] => 0011101
[8,4,1,5,6,3,2,7] => [4,3,8,6,2,5,1,7] => [6,3,2,5,8,4,1,7] => 0110101
[8,1,4,5,6,3,2,7] => [8,3,6,1,4,5,2,7] => [6,3,1,4,5,8,2,7] => 0100101
[4,5,3,7,2,1,8,6] => [2,7,5,4,3,8,1,6] => [4,5,3,8,2,1,7,6] => 1001011
[7,4,5,8,3,2,6,1] => [6,3,8,7,4,2,5,1] => [7,4,8,3,2,5,6,1] => 0100111
[4,3,6,7,2,8,5,1] => [5,8,4,3,7,6,1,2] => [4,3,6,7,1,8,5,2] => 0011011
[4,3,6,7,2,8,1,5] => [8,7,4,3,1,6,2,5] => [4,3,6,7,1,8,2,5] => 0010011
[4,5,3,7,1,8,2,6] => [7,8,5,4,3,2,1,6] => [4,5,3,8,2,7,1,6] => 0001011
[4,1,5,3,7,2,8,6] => [4,7,5,1,3,8,2,6] => [5,1,8,3,4,2,7,6] => 0011011
[5,3,4,7,1,2,8,6] => [7,1,5,3,4,8,2,6] => [5,3,4,8,1,2,7,6] => 0001011
[7,5,3,8,4,1,6,2] => [4,8,6,5,7,2,1,3] => [7,5,2,6,1,8,4,3] => 0011111
[7,4,5,8,3,6,1,2] => [6,1,8,7,4,3,5,2] => [7,4,8,3,5,6,1,2] => 0000111
[4,3,6,7,8,1,5,2] => [8,5,4,3,1,6,7,2] => [4,3,5,1,6,7,8,2] => 0011001
[6,4,7,8,3,5,2,1] => [2,5,8,6,3,4,7,1] => [6,3,7,8,4,5,2,1] => 1001101
[3,5,6,7,8,4,1,2] => [4,1,3,8,5,6,7,2] => [3,5,6,7,8,4,1,2] => 0010001
[3,1,5,6,7,8,4,2] => [3,4,1,8,5,6,7,2] => [5,6,7,8,4,1,3,2] => 0110001
[4,6,1,7,8,3,5,2] => [6,5,8,4,3,1,7,2] => [4,7,8,3,5,1,6,2] => 0001101
[3,6,7,1,4,8,5,2] => [7,5,3,1,8,6,4,2] => [3,6,8,5,1,4,7,2] => 0001011
[2,6,7,1,4,8,3,5] => [7,2,8,1,3,6,4,5] => [2,6,8,1,7,3,4,5] => 0000011
[4,3,6,7,8,1,2,5] => [8,1,4,3,2,6,7,5] => [4,3,6,7,8,1,2,5] => 0010001
[1,5,3,6,7,8,2,4] => [1,8,5,2,3,6,7,4] => [1,5,2,6,7,8,3,4] => 0001001
[3,5,6,7,8,2,1,4] => [2,8,3,1,5,6,7,4] => [3,5,6,7,8,2,1,4] => 1000001
[3,5,6,7,8,2,4,1] => [4,8,3,2,5,6,7,1] => [3,5,6,7,8,2,4,1] => 0010001
[5,2,7,1,3,8,4,6] => [7,5,1,8,2,4,3,6] => [8,1,5,4,7,2,3,6] => 0001011
[5,3,1,7,8,2,4,6] => [3,5,8,1,2,4,7,6] => [7,8,1,5,3,2,4,6] => 0101001
[4,5,2,7,8,1,3,6] => [8,5,1,4,2,3,7,6] => [4,5,1,7,8,2,3,6] => 0001001
[4,2,6,7,8,3,1,5] => [3,8,4,1,2,6,7,5] => [4,1,6,7,8,3,2,5] => 0110001
[4,2,6,7,8,3,5,1] => [5,4,8,2,3,6,7,1] => [6,7,8,2,4,3,5,1] => 0011001
[3,6,2,7,4,8,1,5] => [8,6,3,7,1,2,4,5] => [3,7,1,6,2,8,4,5] => 0000111
[4,7,2,1,3,5,8,6] => [2,7,1,4,3,8,5,6] => [4,8,2,1,3,5,7,6] => 1000011
[7,8,4,2,1,3,6,5] => [2,4,1,8,6,3,7,5] => [6,4,2,1,3,7,8,5] => 1010101
[7,8,3,4,2,1,6,5] => [2,4,8,3,6,1,7,5] => [6,3,4,2,1,7,8,5] => 1010101
[6,3,2,7,1,8,5,4] => [7,3,6,5,8,2,1,4] => [8,5,3,2,6,1,7,4] => 0101111
[3,6,2,7,1,8,5,4] => [7,6,3,5,8,2,1,4] => [3,8,5,2,6,1,7,4] => 0001111
[6,4,7,8,5,2,3,1] => [3,5,2,8,6,1,7,4] => [6,2,3,1,7,8,5,4] => 0101101
[2,6,4,7,8,1,5,3] => [8,2,5,6,1,4,7,3] => [2,6,1,5,4,7,8,3] => 0001101
[4,6,2,7,8,1,5,3] => [8,6,5,4,1,2,7,3] => [4,5,1,6,2,7,8,3] => 0001101
[7,4,5,8,6,2,1,3] => [2,6,1,8,3,7,5,4] => [7,2,1,3,5,8,6,4] => 1000111
[7,5,3,8,6,1,2,4] => [6,1,5,3,8,7,2,4] => [7,5,3,8,6,1,2,4] => 0001111
[7,5,8,2,1,6,3,4] => [2,8,6,3,7,1,5,4] => [7,3,6,5,8,2,1,4] => 1000111
[6,3,1,7,8,2,5,4] => [3,6,8,5,1,2,7,4] => [5,1,7,8,3,2,6,4] => 0101101
[5,2,6,7,8,4,1,3] => [4,8,2,5,1,6,7,3] => [5,2,6,7,8,4,1,3] => 0011001
[5,2,6,7,8,4,3,1] => [3,4,8,5,2,6,7,1] => [5,2,6,7,8,4,3,1] => 0111001
[2,5,6,7,8,4,1,3] => [4,2,1,8,5,6,7,3] => [2,5,6,7,8,4,1,3] => 0010001
[1,5,2,6,7,8,4,3] => [1,5,4,8,2,6,7,3] => [1,6,7,8,4,2,5,3] => 0011001
[1,6,4,7,8,5,2,3] => [1,5,2,8,6,3,7,4] => [1,6,2,3,7,8,5,4] => 0001101
[2,6,7,1,3,8,5,4] => [7,2,1,5,8,6,3,4] => [2,6,8,5,1,3,7,4] => 0001011
[6,7,8,2,1,5,4,3] => [2,8,4,5,1,6,7,3] => [5,4,2,1,6,7,8,3] => 1011001
[6,4,7,8,5,3,1,2] => [3,1,5,8,6,2,7,4] => [6,3,1,2,7,8,5,4] => 0101101
[4,5,2,3,7,6,1,8] => [6,5,2,4,3,7,1,8] => [4,5,2,3,7,6,1,8] => 0001110
[6,4,3,7,2,5,1,8] => [5,7,4,6,2,3,1,8] => [6,4,2,7,3,5,1,8] => 0011110
[8,4,3,6,5,1,2,7] => [5,1,4,6,8,2,3,7] => [8,4,1,2,6,5,3,7] => 0011101
[1,5,6,3,4,8,7,2] => [1,7,6,3,5,4,8,2] => [1,5,6,3,4,8,7,2] => 0000111
[4,6,2,7,3,5,1,8] => [5,6,7,4,3,2,1,8] => [4,7,3,6,2,5,1,8] => 0001110
[3,2,6,7,4,5,1,8] => [5,3,2,7,4,6,1,8] => [3,2,6,7,4,5,1,8] => 0101010
[4,7,2,6,5,3,1,8] => [3,5,6,4,7,2,1,8] => [4,7,2,6,5,3,1,8] => 0101110
[5,7,6,2,4,3,1,8] => [3,4,6,1,5,7,2,8] => [5,7,6,1,4,3,2,8] => 0110110
[1,7,5,4,8,3,6,2] => [1,6,8,5,7,3,4,2] => [1,7,5,3,8,4,6,2] => 0001111
[8,7,5,4,1,3,2,6] => [4,3,1,5,7,2,8,6] => [3,1,8,7,5,4,2,6] => 0111011
[6,8,5,4,2,1,3,7] => [2,4,1,5,8,6,3,7] => [6,8,5,4,2,1,3,7] => 1011001
[4,8,2,6,5,1,3,7] => [5,6,2,4,8,1,3,7] => [4,8,2,6,5,1,3,7] => 0001101
[3,2,8,6,5,1,4,7] => [5,3,2,1,6,8,4,7] => [3,2,8,6,5,1,4,7] => 0101101
[4,1,2,6,5,8,7,3] => [4,1,7,2,6,5,8,3] => [6,5,8,7,1,2,4,3] => 0010111
[5,1,6,2,4,8,7,3] => [5,6,7,2,1,4,8,3] => [8,7,2,6,1,4,5,3] => 0001111
[7,1,5,4,8,2,6,3] => [7,8,6,5,1,2,4,3] => [5,1,6,2,8,4,7,3] => 0001111
[1,8,6,7,4,5,3,2] => [1,3,5,7,4,8,6,2] => [1,8,6,7,4,5,3,2] => 0101011
[8,1,6,7,4,5,2,3] => [8,5,2,7,4,1,6,3] => [7,4,5,2,6,8,1,3] => 0001011
[7,1,6,8,4,2,5,3] => [7,4,8,5,3,1,6,2] => [5,3,8,4,1,6,7,2] => 0011011
[6,1,7,8,2,4,5,3] => [6,8,5,2,4,1,7,3] => [5,2,4,7,8,1,6,3] => 0001101
[5,1,7,2,8,4,6,3] => [5,7,6,8,1,4,2,3] => [8,1,6,4,7,2,5,3] => 0001111
[4,1,2,7,8,5,6,3] => [4,1,6,2,8,5,7,3] => [7,8,5,6,1,2,4,3] => 0010101
[3,2,1,7,8,5,6,4] => [2,3,1,6,8,5,7,4] => [3,2,1,7,8,5,6,4] => 1100101
[3,2,8,7,1,5,4,6] => [7,3,2,5,1,4,8,6] => [3,2,5,1,8,7,4,6] => 0101011
[4,8,2,7,1,5,3,6] => [7,8,5,4,1,3,2,6] => [4,5,1,8,3,7,2,6] => 0001011
[5,8,7,2,1,4,3,6] => [2,7,4,1,5,3,8,6] => [4,2,1,5,8,7,3,6] => 1010011
[7,8,6,1,4,2,3,5] => [6,4,2,1,3,8,7,5] => [4,2,7,8,6,1,3,5] => 0010101
[1,7,6,8,4,3,5,2] => [1,5,4,8,3,7,6,2] => [1,7,6,8,4,3,5,2] => 0011011
[1,6,7,8,3,4,5,2] => [1,5,8,3,4,6,7,2] => [1,6,7,8,3,4,5,2] => 0001001
[7,6,8,1,3,2,4,5] => [8,3,1,2,4,7,6,5] => [3,1,7,6,8,2,4,5] => 0100011
[5,7,8,2,1,3,4,6] => [2,8,1,3,5,4,7,6] => [5,7,8,2,1,3,4,6] => 1000001
[3,2,6,8,4,1,5,7] => [4,3,2,8,1,6,5,7] => [3,2,6,8,4,1,5,7] => 0110001
[4,6,2,8,3,1,5,7] => [3,8,6,4,2,1,5,7] => [4,6,2,8,3,1,5,7] => 0100101
[5,6,8,2,3,1,4,7] => [3,8,2,1,5,6,4,7] => [5,6,8,2,3,1,4,7] => 0100001
[6,5,8,3,2,1,4,7] => [2,3,8,1,6,5,4,7] => [6,5,8,3,2,1,4,7] => 1100101
[8,5,7,3,1,4,2,6] => [3,7,4,2,8,1,5,6] => [4,2,8,3,1,7,5,6] => 0110011
[1,5,7,3,8,4,6,2] => [1,6,7,8,5,4,3,2] => [1,5,8,4,7,3,6,2] => 0000111
[1,4,3,7,8,5,6,2] => [1,6,4,3,8,5,7,2] => [1,4,3,7,8,5,6,2] => 0010101
[8,4,3,7,1,5,2,6] => [7,5,4,8,1,2,3,6] => [8,4,1,5,2,7,3,6] => 0011011
[6,4,3,8,2,1,5,7] => [2,8,4,6,1,3,5,7] => [6,4,2,1,8,3,5,7] => 1010101
[4,5,2,3,8,1,6,7] => [8,5,2,4,3,1,6,7] => [4,5,2,3,8,1,6,7] => 0001001
[3,2,5,4,8,1,6,7] => [8,3,2,5,4,1,6,7] => [3,2,5,4,8,1,6,7] => 0101001
[4,5,2,3,1,8,7,6] => [3,5,2,4,1,7,8,6] => [4,5,2,3,1,8,7,6] => 0101011
[7,4,3,1,8,2,6,5] => [3,4,7,8,6,2,1,5] => [6,2,8,4,3,1,7,5] => 0110111
[8,4,3,1,7,6,2,5] => [3,4,8,6,2,7,1,5] => [7,6,2,8,4,3,1,5] => 0110111
[1,5,8,3,7,6,4,2] => [1,4,6,7,5,8,3,2] => [1,5,8,3,7,6,4,2] => 0010111
[8,5,1,3,7,6,2,4] => [5,8,2,1,6,7,3,4] => [7,6,2,8,5,1,3,4] => 0001111
[3,2,6,1,4,8,7,5] => [6,3,2,1,7,4,8,5] => [3,2,8,7,1,4,6,5] => 0100111
[3,2,7,1,8,4,6,5] => [7,3,2,8,6,4,1,5] => [3,2,6,4,8,1,7,5] => 0100111
[4,7,2,1,8,3,6,5] => [2,7,8,4,6,3,1,5] => [4,6,3,8,2,1,7,5] => 1000111
[5,7,1,2,8,3,6,4] => [7,1,8,6,5,3,2,4] => [5,6,3,8,1,2,7,4] => 0000111
[7,6,1,8,3,2,5,4] => [6,3,7,5,1,8,2,4] => [5,3,1,8,2,7,6,4] => 0101111
[1,6,8,7,3,5,4,2] => [1,4,5,7,2,6,8,3] => [1,6,8,7,2,5,4,3] => 0011011
[1,7,8,6,5,3,4,2] => [1,4,5,3,6,8,7,2] => [1,7,8,6,5,3,4,2] => 0011101
[8,7,1,6,5,3,2,4] => [7,3,5,2,6,1,8,4] => [6,5,3,2,8,7,1,4] => 0101111
[7,8,1,6,5,2,3,4] => [8,5,2,3,6,1,7,4] => [6,5,2,3,7,8,1,4] => 0001101
[5,8,1,2,7,6,3,4] => [8,1,6,3,5,7,2,4] => [5,7,6,3,8,1,2,4] => 0000111
[4,8,2,1,7,6,3,5] => [2,8,6,4,3,7,1,5] => [4,7,6,3,8,2,1,5] => 1000111
[4,1,2,8,7,6,5,3] => [4,1,5,2,6,7,8,3] => [8,7,6,5,1,2,4,3] => 0011111
[5,1,8,2,7,6,4,3] => [5,8,4,6,1,7,2,3] => [7,6,4,1,8,2,5,3] => 0011111
[6,1,8,7,2,5,4,3] => [6,7,4,5,2,1,8,3] => [5,4,2,8,7,1,6,3] => 0011111
[7,1,8,6,5,2,4,3] => [7,5,4,2,6,8,1,3] => [4,2,8,6,5,1,7,3] => 0011111
[8,1,7,6,5,4,2,3] => [8,4,2,5,6,7,1,3] => [7,6,5,4,2,8,1,3] => 0011111
[3,1,2,6,5,8,7,4] => [3,1,2,7,6,5,8,4] => [3,1,2,6,5,8,7,4] => 0100111
[3,1,6,2,4,8,7,5] => [3,6,1,2,7,4,8,5] => [8,7,1,3,2,4,6,5] => 0100111
[3,1,5,2,4,8,7,6] => [3,5,1,2,4,7,8,6] => [5,1,3,2,4,8,7,6] => 0101011
[4,5,1,2,3,8,7,6] => [5,1,2,4,3,7,8,6] => [4,5,1,2,3,8,7,6] => 0001011
[4,6,1,2,3,8,7,5] => [6,1,2,4,7,3,8,5] => [4,8,7,1,2,3,6,5] => 0000111
[1,6,5,3,4,8,7,2] => [1,7,5,3,6,4,8,2] => [1,6,5,3,4,8,7,2] => 0001111
[6,1,5,2,4,8,7,3] => [6,5,7,2,1,4,8,3] => [8,7,2,5,1,4,6,3] => 0001111
[6,4,1,2,3,8,7,5] => [4,1,2,6,7,3,8,5] => [8,7,4,1,2,3,6,5] => 0010111
[5,4,1,2,3,8,7,6] => [4,1,2,5,3,7,8,6] => [5,4,1,2,3,8,7,6] => 0011011
[5,4,1,2,7,3,6,8] => [4,1,5,7,3,2,6,8] => [7,3,5,4,1,2,6,8] => 0011010
[7,4,1,2,8,3,6,5] => [4,1,7,8,6,2,3,5] => [6,1,2,8,4,3,7,5] => 0010111
[7,5,1,2,8,3,6,4] => [5,1,7,8,6,4,3,2] => [6,4,8,3,7,5,1,2] => 0001111
[1,8,5,3,7,4,6,2] => [1,6,5,8,7,3,4,2] => [1,7,3,8,5,4,6,2] => 0001111
[8,1,5,2,7,4,6,3] => [8,5,6,7,1,4,2,3] => [7,1,6,4,5,2,8,3] => 0001111
[8,5,1,2,7,3,6,4] => [5,1,8,7,6,4,3,2] => [6,4,7,3,8,5,1,2] => 0001111
[8,4,1,2,7,3,6,5] => [4,1,8,7,6,2,3,5] => [6,1,2,7,4,3,8,5] => 0010111
[8,4,1,7,2,3,5,6] => [4,8,1,7,3,5,2,6] => [7,1,3,5,8,4,2,6] => 0010011
[7,4,1,6,2,3,5,8] => [4,7,1,6,3,2,5,8] => [6,1,3,7,4,2,5,8] => 0010110
[8,6,1,7,2,3,5,4] => [6,8,1,5,3,7,2,4] => [5,1,3,7,2,8,6,4] => 0001111
[1,8,6,7,3,4,5,2] => [1,5,7,3,4,8,6,2] => [1,8,6,7,3,4,5,2] => 0001011
[1,7,6,8,3,4,5,2] => [1,5,8,3,4,7,6,2] => [1,7,6,8,3,4,5,2] => 0001011
[7,1,6,8,2,4,5,3] => [7,8,5,2,4,1,6,3] => [5,2,4,8,1,6,7,3] => 0001011
[7,6,1,8,2,3,5,4] => [6,7,1,5,3,8,2,4] => [5,1,3,8,2,7,6,4] => 0001111
[4,7,1,2,8,3,6,5] => [7,1,8,4,6,3,2,5] => [4,6,3,8,1,2,7,5] => 0000111
[3,1,7,2,8,4,6,5] => [3,7,1,8,6,4,2,5] => [6,4,8,1,3,2,7,5] => 0100111
[3,1,2,7,8,5,6,4] => [3,1,2,6,8,5,7,4] => [3,1,2,7,8,5,6,4] => 0100101
[1,4,3,8,7,5,6,2] => [1,6,4,3,7,5,8,2] => [1,4,3,8,7,5,6,2] => 0010111
[4,1,2,8,7,5,6,3] => [4,1,6,2,7,5,8,3] => [8,7,5,6,1,2,4,3] => 0010111
[3,1,2,8,7,5,6,4] => [3,1,2,6,7,5,8,4] => [3,1,2,8,7,5,6,4] => 0100111
[3,1,8,2,7,4,6,5] => [3,8,1,7,6,4,2,5] => [6,4,7,1,3,2,8,5] => 0100111
[3,1,8,7,2,4,5,6] => [3,7,1,2,4,5,8,6] => [8,7,1,3,2,4,5,6] => 0100011
[4,8,1,6,2,3,5,7] => [8,6,2,4,3,1,5,7] => [4,6,2,3,8,1,5,7] => 0000101
[4,8,1,2,7,3,6,5] => [8,1,7,4,6,3,2,5] => [4,6,3,7,1,2,8,5] => 0000111
[5,1,8,2,7,4,6,3] => [5,8,6,7,1,4,2,3] => [7,1,6,4,8,2,5,3] => 0001111
[1,5,8,3,7,4,6,2] => [1,6,8,7,5,4,3,2] => [1,5,7,4,8,3,6,2] => 0000111
[1,6,8,7,3,4,5,2] => [1,5,7,3,4,6,8,2] => [1,6,8,7,3,4,5,2] => 0001011
[6,1,8,7,2,4,5,3] => [6,7,5,2,4,1,8,3] => [5,2,4,8,7,1,6,3] => 0001111
[6,8,1,7,2,3,5,4] => [8,7,2,5,3,6,1,4] => [5,2,3,6,7,1,8,4] => 0001011
[6,8,7,1,2,3,4,5] => [7,1,2,3,4,6,8,5] => [6,8,7,1,2,3,4,5] => 0000011
[5,8,7,1,2,3,4,6] => [7,1,2,3,5,4,8,6] => [5,8,7,1,2,3,4,6] => 0000011
[5,8,6,1,2,3,4,7] => [6,1,2,3,5,8,4,7] => [5,8,6,1,2,3,4,7] => 0000101
[5,7,6,1,2,3,4,8] => [6,1,2,3,5,7,4,8] => [5,7,6,1,2,3,4,8] => 0000110
[7,8,1,6,2,3,5,4] => [8,6,2,5,3,1,7,4] => [5,2,3,6,1,7,8,4] => 0001101
[7,1,8,6,2,4,5,3] => [7,6,5,2,4,8,1,3] => [5,2,4,8,6,1,7,3] => 0001111
[1,7,8,6,3,4,5,2] => [1,5,6,3,4,8,7,2] => [1,7,8,6,3,4,5,2] => 0001101
[1,8,7,6,3,4,5,2] => [1,5,6,3,4,7,8,2] => [1,8,7,6,3,4,5,2] => 0001111
[8,7,1,6,2,3,5,4] => [7,6,2,5,3,1,8,4] => [5,2,3,6,1,8,7,4] => 0001111
[3,2,5,1,6,4,8,7] => [5,3,2,6,1,4,8,7] => [3,2,6,1,5,4,8,7] => 0101101
[3,2,5,4,7,1,8,6] => [7,3,2,5,4,8,1,6] => [3,2,5,4,8,1,7,6] => 0101011
[4,2,5,3,7,6,8,1] => [8,4,5,2,3,7,6,1] => [5,2,4,3,7,6,8,1] => 0011011
[4,2,5,3,7,1,8,6] => [7,4,5,2,3,8,1,6] => [5,2,4,3,8,1,7,6] => 0011011
[4,2,5,3,6,1,8,7] => [6,4,5,2,3,1,8,7] => [5,2,4,3,6,1,8,7] => 0011101
[4,2,5,1,6,3,8,7] => [5,4,6,2,1,3,8,7] => [6,2,4,1,5,3,8,7] => 0011101
[3,1,5,4,6,2,8,7] => [3,6,1,5,4,2,8,7] => [5,4,6,1,3,2,8,7] => 0101101
[4,1,5,3,6,2,8,7] => [4,6,5,1,3,2,8,7] => [5,1,6,3,4,2,8,7] => 0011101
[4,3,5,1,6,2,8,7] => [5,6,4,3,1,2,8,7] => [4,3,6,1,5,2,8,7] => 0011101
[4,3,5,2,7,1,8,6] => [7,5,4,3,2,8,1,6] => [4,3,5,2,8,1,7,6] => 0011011
[4,3,6,2,7,5,8,1] => [8,6,4,3,7,2,5,1] => [4,3,7,2,6,5,8,1] => 0010111
[4,3,6,2,7,1,8,5] => [7,6,4,3,8,2,1,5] => [4,3,8,2,6,1,7,5] => 0010111
[4,3,6,1,7,2,8,5] => [6,7,4,3,8,1,2,5] => [4,3,8,1,7,2,6,5] => 0010111
[4,3,5,1,7,2,8,6] => [5,7,4,3,1,8,2,6] => [4,3,8,1,5,2,7,6] => 0011011
[3,1,5,4,7,2,8,6] => [3,7,1,5,4,8,2,6] => [5,4,8,1,3,2,7,6] => 0101011
[2,1,5,4,7,3,8,6] => [2,1,7,5,4,8,3,6] => [2,1,5,4,8,3,7,6] => 1001011
[3,1,5,4,7,6,8,2] => [3,8,1,5,4,7,6,2] => [5,4,7,6,8,1,3,2] => 0101011
[4,1,5,3,7,6,8,2] => [4,8,5,1,3,7,6,2] => [5,1,7,6,8,3,4,2] => 0011011
[4,3,5,1,7,6,8,2] => [5,8,4,3,1,7,6,2] => [4,3,7,6,8,1,5,2] => 0011011
[4,3,6,1,7,5,8,2] => [6,8,4,3,7,1,5,2] => [4,3,7,1,8,5,6,2] => 0010111
[4,3,6,5,7,1,8,2] => [7,8,4,3,6,5,1,2] => [4,3,6,5,8,1,7,2] => 0010111
[5,3,6,4,7,2,8,1] => [8,7,5,6,3,4,2,1] => [6,3,5,4,7,2,8,1] => 0001111
[5,3,6,4,7,1,8,2] => [7,8,5,6,3,4,1,2] => [6,3,5,4,8,1,7,2] => 0001111
[5,3,6,1,7,4,8,2] => [6,8,5,7,3,1,4,2] => [7,3,5,1,8,4,6,2] => 0001111
[5,1,6,3,7,4,8,2] => [5,8,6,7,1,3,4,2] => [7,1,6,3,8,4,5,2] => 0001111
[4,1,6,3,7,5,8,2] => [4,8,6,1,7,3,5,2] => [7,1,6,5,8,3,4,2] => 0010111
[3,1,6,4,7,5,8,2] => [3,8,1,6,7,4,5,2] => [7,4,6,5,8,1,3,2] => 0100111
[2,1,6,4,7,5,8,3] => [2,1,8,6,7,4,5,3] => [2,1,7,4,6,5,8,3] => 1000111
[2,1,6,4,7,3,8,5] => [2,1,7,6,8,4,3,5] => [2,1,8,4,6,3,7,5] => 1000111
[3,1,6,4,7,2,8,5] => [3,7,1,6,8,4,2,5] => [8,4,6,1,3,2,7,5] => 0100111
[4,1,6,3,7,2,8,5] => [4,7,6,1,8,3,2,5] => [8,1,6,3,4,2,7,5] => 0010111
[5,1,6,3,7,2,8,4] => [5,7,6,8,1,3,2,4] => [8,1,6,3,7,2,5,4] => 0001111
[5,3,6,1,7,2,8,4] => [6,7,5,8,3,1,2,4] => [8,3,5,1,7,2,6,4] => 0001111
[5,3,6,2,7,1,8,4] => [7,6,5,8,3,2,1,4] => [8,3,5,2,6,1,7,4] => 0001111
[5,3,6,2,7,4,8,1] => [8,6,5,7,3,2,4,1] => [7,3,5,2,6,4,8,1] => 0001111
[5,2,6,3,7,4,8,1] => [8,5,6,7,2,3,4,1] => [7,2,6,3,5,4,8,1] => 0001111
[5,2,6,3,7,1,8,4] => [7,5,6,8,2,3,1,4] => [8,2,6,3,5,1,7,4] => 0001111
[5,2,6,1,7,3,8,4] => [6,5,7,8,2,1,3,4] => [8,2,7,1,5,3,6,4] => 0001111
[4,2,5,1,7,3,8,6] => [5,4,7,2,1,8,3,6] => [8,2,4,1,5,3,7,6] => 0011011
[4,2,6,1,7,3,8,5] => [6,4,7,2,8,1,3,5] => [8,2,4,1,7,3,6,5] => 0010111
[4,2,6,3,7,1,8,5] => [7,4,6,2,8,3,1,5] => [8,2,4,3,6,1,7,5] => 0010111
[4,2,6,3,7,5,8,1] => [8,4,6,2,7,3,5,1] => [7,2,4,3,6,5,8,1] => 0010111
[3,2,6,4,7,5,8,1] => [8,3,2,6,7,4,5,1] => [3,2,7,4,6,5,8,1] => 0100111
[3,2,6,4,7,1,8,5] => [7,3,2,6,8,4,1,5] => [3,2,8,4,6,1,7,5] => 0100111
[3,2,6,1,7,4,8,5] => [6,3,2,7,8,1,4,5] => [3,2,8,1,7,4,6,5] => 0100111
[3,2,5,1,7,4,8,6] => [5,3,2,7,1,8,4,6] => [3,2,8,1,5,4,7,6] => 0101011
[3,2,4,1,7,5,8,6] => [4,3,2,1,7,8,5,6] => [3,2,4,1,8,5,7,6] => 0110011
[3,1,4,2,7,6,8,5] => [3,4,1,2,8,7,6,5] => [4,1,3,2,7,6,8,5] => 0110011
[3,2,5,1,7,6,8,4] => [5,3,2,8,1,7,6,4] => [3,2,7,6,8,1,5,4] => 0101011
[3,2,6,1,7,5,8,4] => [6,3,2,8,7,1,5,4] => [3,2,7,1,8,5,6,4] => 0100111
[3,2,6,5,7,1,8,4] => [7,3,2,8,6,5,1,4] => [3,2,6,5,8,1,7,4] => 0100111
[4,2,6,5,7,3,8,1] => [8,4,7,2,6,5,3,1] => [6,5,7,2,4,3,8,1] => 0010111
[4,2,6,5,7,1,8,3] => [7,4,8,2,6,5,1,3] => [6,5,8,2,4,1,7,3] => 0010111
[4,2,6,1,7,5,8,3] => [6,4,8,2,7,1,5,3] => [7,2,4,1,8,5,6,3] => 0010111
[4,2,5,1,7,6,8,3] => [5,4,8,2,1,7,6,3] => [7,6,8,2,4,1,5,3] => 0011011
[4,1,5,2,7,6,8,3] => [4,5,8,1,2,7,6,3] => [7,6,8,1,5,2,4,3] => 0011011
[3,1,5,2,7,6,8,4] => [3,5,1,8,2,7,6,4] => [7,6,8,1,3,2,5,4] => 0101011
[2,1,5,3,7,6,8,4] => [2,1,5,8,3,7,6,4] => [2,1,7,6,8,3,5,4] => 1001011
[2,1,6,3,7,5,8,4] => [2,1,6,8,7,3,5,4] => [2,1,7,3,8,5,6,4] => 1000111
[3,1,6,2,7,5,8,4] => [3,6,1,8,7,2,5,4] => [7,1,3,2,8,5,6,4] => 0100111
[4,1,6,2,7,5,8,3] => [4,6,8,1,7,2,5,3] => [7,1,8,5,6,2,4,3] => 0010111
[5,1,6,2,7,4,8,3] => [5,6,8,7,1,2,4,3] => [7,1,8,2,6,4,5,3] => 0001111
[5,2,6,1,7,4,8,3] => [6,5,8,7,2,1,4,3] => [7,2,8,1,5,4,6,3] => 0001111
[5,2,6,4,7,1,8,3] => [7,5,8,6,2,4,1,3] => [6,2,8,4,5,1,7,3] => 0001111
[5,2,6,4,7,3,8,1] => [8,5,7,6,2,4,3,1] => [6,2,7,4,5,3,8,1] => 0001111
[5,4,6,2,7,3,8,1] => [8,6,7,5,4,2,3,1] => [5,4,7,2,6,3,8,1] => 0001111
[5,4,6,2,7,1,8,3] => [7,6,8,5,4,2,1,3] => [5,4,8,2,6,1,7,3] => 0001111
[5,4,6,1,7,2,8,3] => [6,7,8,5,4,1,2,3] => [5,4,8,1,7,2,6,3] => 0001111
[5,1,6,4,7,2,8,3] => [5,7,8,6,1,4,2,3] => [6,1,8,4,7,2,5,3] => 0001111
[4,1,6,5,7,2,8,3] => [4,7,8,1,6,5,2,3] => [6,5,8,1,7,2,4,3] => 0010111
[3,1,6,5,7,2,8,4] => [3,7,1,8,6,5,2,4] => [6,5,8,1,3,2,7,4] => 0100111
[2,1,6,5,7,3,8,4] => [2,1,7,8,6,5,3,4] => [2,1,6,5,8,3,7,4] => 1000111
[3,1,6,5,7,4,8,2] => [3,8,1,7,6,5,4,2] => [6,5,7,4,8,1,3,2] => 0100111
[4,1,6,5,7,3,8,2] => [4,8,7,1,6,5,3,2] => [6,5,7,1,8,3,4,2] => 0010111
[5,1,6,4,7,3,8,2] => [5,8,7,6,1,4,3,2] => [6,1,7,4,8,3,5,2] => 0001111
[5,4,6,1,7,3,8,2] => [6,8,7,5,4,1,3,2] => [5,4,7,1,8,3,6,2] => 0001111
[5,4,6,3,7,1,8,2] => [7,8,6,5,4,3,1,2] => [5,4,6,3,8,1,7,2] => 0001111
[8,3,5,2,1,6,4,7] => [2,5,8,6,3,1,4,7] => [6,3,8,2,1,5,4,7] => 1001101
[2,4,5,7,3,1,8,6] => [3,2,7,4,5,8,1,6] => [2,4,5,8,3,1,7,6] => 0100011
[8,2,4,6,5,3,1,7] => [3,5,6,2,8,4,1,7] => [8,2,4,6,5,3,1,7] => 0101101
[8,2,5,4,6,1,3,7] => [6,8,1,5,2,4,3,7] => [5,1,8,4,6,2,3,7] => 0001101
[8,6,3,5,1,4,2,7] => [5,4,6,1,3,8,2,7] => [8,6,1,4,3,5,2,7] => 0011101
[8,6,1,4,5,3,2,7] => [6,3,5,1,4,8,2,7] => [5,3,1,4,8,6,2,7] => 0101101
[8,1,5,6,4,3,2,7] => [8,3,4,6,1,5,2,7] => [6,4,3,1,5,8,2,7] => 0110101
[5,7,4,3,2,1,8,6] => [2,3,4,7,5,8,1,6] => [5,8,4,3,2,1,7,6] => 1110011
[8,5,7,4,3,2,6,1] => [6,3,4,7,8,2,5,1] => [8,4,3,2,7,5,6,1] => 0110111
[4,6,8,3,2,7,5,1] => [5,3,7,4,8,6,1,2] => [4,6,8,3,1,7,5,2] => 0101011
[4,7,6,3,2,8,1,5] => [8,3,6,4,1,7,2,5] => [4,7,6,3,1,8,2,5] => 0100111
[1,7,4,5,3,2,8,6] => [1,3,5,7,4,8,2,6] => [1,8,4,5,3,2,7,6] => 0101011
[3,7,5,1,4,2,8,6] => [5,4,3,1,7,8,2,6] => [3,4,1,8,5,2,7,6] => 0011011
[5,7,4,2,1,3,8,6] => [2,4,1,7,5,8,3,6] => [5,8,4,2,1,3,7,6] => 1010011
[8,5,7,4,2,1,6,3] => [2,4,7,6,8,3,5,1] => [8,3,6,5,7,4,2,1] => 1010111
[8,3,7,5,1,4,6,2] => [5,7,6,2,8,4,1,3] => [8,2,4,6,1,7,5,3] => 0001111
[8,4,1,7,5,3,6,2] => [4,8,6,5,7,1,2,3] => [7,5,1,6,2,8,4,3] => 0011111
[4,6,3,8,7,1,5,2] => [7,5,6,4,1,3,8,2] => [4,6,1,5,3,8,7,2] => 0001111
[1,7,4,8,6,3,5,2] => [1,5,6,8,4,7,3,2] => [1,7,4,8,6,3,5,2] => 0001111
[8,4,7,6,3,5,2,1] => [2,5,6,7,4,8,3,1] => [8,4,7,6,3,5,2,1] => 1001111
[3,6,5,8,7,4,1,2] => [4,1,3,7,6,5,8,2] => [3,6,5,8,7,4,1,2] => 0010111
[3,1,5,8,6,7,4,2] => [3,4,1,7,5,8,6,2] => [5,8,6,7,4,1,3,2] => 0110011
[3,6,4,1,8,7,5,2] => [4,6,3,5,7,2,8,1] => [3,8,7,5,2,6,4,1] => 0011111
[8,2,6,1,4,7,5,3] => [6,8,5,1,7,2,4,3] => [7,5,1,8,2,4,6,3] => 0001111
[1,7,3,5,6,8,2,4] => [1,8,7,2,3,5,6,4] => [1,7,2,5,6,8,3,4] => 0000011
[1,3,6,7,5,8,2,4] => [1,8,3,2,7,6,5,4] => [1,3,6,7,5,8,2,4] => 0000011
[3,7,6,5,8,2,1,4] => [2,8,3,1,6,7,5,4] => [3,7,6,5,8,2,1,4] => 1000111
[3,6,8,5,7,2,4,1] => [4,7,3,2,8,6,5,1] => [3,6,8,5,7,2,4,1] => 0010011
[2,3,5,7,6,8,1,4] => [8,2,3,1,5,7,6,4] => [2,3,5,7,6,8,1,4] => 0000011
[2,1,6,5,7,8,3,4] => [2,1,8,3,6,5,7,4] => [2,1,6,5,7,8,3,4] => 1000101
[4,2,7,6,8,3,1,5] => [3,8,4,1,2,7,6,5] => [4,1,7,6,8,3,2,5] => 0110011
[4,2,6,8,7,3,5,1] => [5,4,7,2,3,6,8,1] => [6,8,7,2,4,3,5,1] => 0011011
[3,8,2,4,6,7,5,1] => [5,7,3,1,8,4,6,2] => [3,8,1,4,6,7,5,2] => 0001011
[3,7,2,6,4,8,1,5] => [8,7,3,6,1,2,4,5] => [3,6,1,7,2,8,4,5] => 0000111
[3,2,6,1,4,7,8,5] => [6,3,2,1,8,4,7,5] => [3,2,7,8,1,4,6,5] => 0100101
[4,7,3,2,1,5,8,6] => [2,3,7,4,1,8,5,6] => [4,8,3,2,1,5,7,6] => 1100011
[8,5,7,3,2,1,6,4] => [2,3,7,6,8,1,5,4] => [8,3,2,1,6,5,7,4] => 1100111
[8,3,6,7,2,1,5,4] => [2,7,8,5,1,3,6,4] => [5,2,1,8,3,6,7,4] => 1001011
[3,7,8,6,2,1,5,4] => [2,6,3,5,1,8,7,4] => [3,5,2,1,7,8,6,4] => 1001101
[8,7,6,3,5,2,4,1] => [4,5,6,2,3,7,8,1] => [8,7,6,2,5,3,4,1] => 0011111
[2,7,4,8,1,6,5,3] => [8,2,5,6,7,1,3,4] => [2,7,1,6,5,3,8,4] => 0001111
[4,6,8,2,1,7,5,3] => [2,8,5,4,7,6,1,3] => [4,6,7,5,2,1,8,3] => 1001011
[8,5,3,7,1,6,2,4] => [7,6,5,2,8,1,3,4] => [8,5,2,6,1,7,3,4] => 0001111
[8,5,7,2,1,3,6,4] => [2,7,1,6,8,3,5,4] => [8,2,1,3,6,5,7,4] => 1000111
[8,3,6,1,7,5,2,4] => [6,5,7,3,8,2,1,4] => [8,3,7,5,2,6,1,4] => 0001111
[4,6,1,8,7,2,5,3] => [6,7,5,4,2,1,8,3] => [4,5,2,8,7,1,6,3] => 0001111
[8,1,2,5,6,7,4,3] => [8,1,4,7,2,5,6,3] => [7,4,1,2,5,6,8,3] => 0010011
[2,1,7,8,5,6,4,3] => [2,1,4,6,8,5,7,3] => [2,1,7,8,5,6,4,3] => 1010101
[2,7,6,8,5,4,1,3] => [4,2,1,5,8,7,6,3] => [2,7,6,8,5,4,1,3] => 0011011
[1,7,2,5,8,6,4,3] => [1,7,4,6,2,8,5,3] => [1,8,6,4,2,5,7,3] => 0010111
[3,7,8,1,6,5,2,4] => [8,5,3,2,6,1,7,4] => [3,6,5,2,7,8,1,4] => 0001101
[2,7,8,6,1,3,5,4] => [6,2,1,5,3,8,7,4] => [2,5,1,3,7,8,6,4] => 0001101
[8,7,6,3,5,1,4,2] => [5,4,6,1,3,7,8,2] => [8,7,6,1,4,3,5,2] => 0011111
[8,4,7,6,5,1,3,2] => [5,3,1,6,7,8,4,2] => [3,1,8,4,7,6,5,2] => 0101111
[8,7,1,5,6,4,3,2] => [7,3,4,6,1,5,8,2] => [6,4,3,1,5,8,7,2] => 0110111
[6,5,3,1,2,4,8,7] => [3,1,5,2,6,4,8,7] => [6,5,3,1,2,4,8,7] => 0101101
[4,6,3,5,1,2,8,7] => [5,1,6,4,3,2,8,7] => [4,6,3,5,1,2,8,7] => 0001101
[6,8,1,4,5,7,3,2] => [8,3,7,1,4,6,5,2] => [6,7,3,1,4,5,8,2] => 0100011
[8,7,2,4,5,1,3,6] => [5,7,1,2,4,3,8,6] => [8,7,1,4,5,2,3,6] => 0001011
[3,6,2,4,5,1,8,7] => [5,6,3,2,4,1,8,7] => [3,6,2,4,5,1,8,7] => 0001101
[2,6,1,4,5,3,8,7] => [6,2,5,1,4,3,8,7] => [2,5,1,4,6,3,8,7] => 0001101
[6,1,2,4,5,3,8,7] => [6,1,5,2,4,3,8,7] => [5,1,2,4,6,3,8,7] => 0001101
[5,6,3,2,1,4,8,7] => [2,3,6,1,5,4,8,7] => [5,6,3,2,1,4,8,7] => 1100101
[5,4,3,6,1,2,8,7] => [6,1,4,5,3,2,8,7] => [5,4,3,6,1,2,8,7] => 0011101
[3,1,6,4,5,2,8,7] => [3,5,1,6,4,2,8,7] => [6,4,5,1,3,2,8,7] => 0101101
[5,8,7,4,2,6,3,1] => [3,6,4,7,5,1,8,2] => [5,8,7,4,1,6,3,2] => 0110111
[2,8,7,4,1,6,3,5] => [4,2,7,6,1,3,8,5] => [2,6,1,8,7,4,3,5] => 0010111
[8,1,7,4,2,6,3,5] => [8,4,7,6,2,3,1,5] => [6,2,7,4,3,8,1,5] => 0010111
[3,7,8,4,5,1,2,6] => [5,1,3,8,4,2,7,6] => [3,7,8,4,5,1,2,6] => 0001001
[2,1,8,7,5,3,4,6] => [2,1,5,3,7,4,8,6] => [2,1,8,7,5,3,4,6] => 1001011
[2,1,6,8,5,7,3,4] => [2,1,7,3,8,6,5,4] => [2,1,6,8,5,7,3,4] => 1000011
[5,6,3,8,1,7,2,4] => [8,7,6,2,5,3,1,4] => [5,6,2,7,3,8,1,4] => 0000111
[3,7,6,4,5,8,2,1] => [2,8,3,6,4,7,5,1] => [3,7,6,4,5,8,2,1] => 1000111
[8,5,7,4,1,6,3,2] => [4,3,7,6,8,2,5,1] => [8,3,2,6,5,7,4,1] => 0110111
[2,5,8,4,7,6,1,3] => [6,2,1,7,5,8,3,4] => [2,5,8,1,3,7,6,4] => 0000111
[2,4,8,3,5,6,7,1] => [7,2,8,4,3,5,6,1] => [2,4,8,3,5,6,7,1] => 0000011
[4,1,8,3,5,6,7,2] => [4,7,8,1,3,5,6,2] => [8,1,5,6,7,3,4,2] => 0010011
[3,8,4,2,5,6,7,1] => [7,4,3,8,2,5,6,1] => [3,8,4,2,5,6,7,1] => 0010011
[8,4,1,3,5,6,7,2] => [4,8,2,7,3,5,6,1] => [7,2,3,5,6,8,4,1] => 0010011
[7,5,8,4,3,6,1,2] => [6,1,4,8,7,3,5,2] => [7,4,3,8,5,6,1,2] => 0010111
[6,5,3,8,4,1,7,2] => [4,8,7,5,6,1,2,3] => [6,5,1,7,2,8,4,3] => 0011111
[2,1,5,8,4,6,7,3] => [2,1,7,8,5,4,6,3] => [2,1,5,8,4,6,7,3] => 1000011
[2,1,4,8,3,6,7,5] => [2,1,8,4,7,3,6,5] => [2,1,4,7,3,6,8,5] => 1000011
[6,4,3,8,2,1,7,5] => [2,8,4,6,7,3,1,5] => [7,4,3,6,2,1,8,5] => 1010111
[7,3,8,4,2,6,1,5] => [6,4,8,7,1,3,2,5] => [7,1,8,4,3,6,2,5] => 0010111
[3,1,8,2,5,6,7,4] => [3,8,1,7,2,5,6,4] => [7,1,3,2,5,6,8,4] => 0100011
[4,3,8,2,5,6,7,1] => [7,8,4,3,2,5,6,1] => [4,3,8,2,5,6,7,1] => 0010011
[4,8,2,3,5,6,7,1] => [7,8,2,4,3,5,6,1] => [4,8,2,3,5,6,7,1] => 0000011
[3,8,2,1,5,6,7,4] => [2,8,3,7,1,5,6,4] => [3,7,2,1,5,6,8,4] => 1000011
[2,8,1,3,5,6,7,4] => [8,2,1,7,3,5,6,4] => [2,7,1,3,5,6,8,4] => 0000011
[8,1,2,3,5,6,7,4] => [8,1,2,7,3,5,6,4] => [7,1,2,3,5,6,8,4] => 0000011
[7,8,2,4,3,6,1,5] => [6,8,4,2,1,3,7,5] => [4,2,7,8,1,6,3,5] => 0010101
[6,8,3,2,4,1,7,5] => [4,3,8,2,7,6,1,5] => [6,7,3,2,4,1,8,5] => 0110011
[2,1,8,3,4,6,7,5] => [2,1,8,3,7,4,6,5] => [2,1,7,3,4,6,8,5] => 1000011
[2,1,7,8,5,4,3,6] => [2,1,4,5,8,3,7,6] => [2,1,7,8,5,4,3,6] => 1011001
[2,7,8,4,5,3,1,6] => [3,2,5,8,4,1,7,6] => [2,7,8,4,5,3,1,6] => 0101001
[3,8,7,4,2,6,1,5] => [6,4,3,7,1,2,8,5] => [3,8,7,4,1,6,2,5] => 0010111
[5,7,8,4,3,6,2,1] => [2,6,4,8,5,3,7,1] => [5,7,8,4,3,6,2,1] => 1010101
[5,6,3,8,4,2,7,1] => [7,4,8,6,5,2,3,1] => [5,6,2,8,4,3,7,1] => 0010111
[8,6,3,1,4,2,7,5] => [3,6,4,2,8,7,5,1] => [4,2,7,5,8,6,3,1] => 0110111
[7,5,3,8,2,4,1,6] => [4,8,5,2,7,1,3,6] => [7,5,2,8,1,4,3,6] => 0011011
[4,1,3,2,6,8,7,5] => [4,3,1,2,7,6,8,5] => [3,1,4,2,6,8,7,5] => 0110011
[7,5,3,6,2,8,1,4] => [8,6,5,1,7,3,2,4] => [7,5,1,6,3,8,2,4] => 0001111
[8,6,3,5,1,2,7,4] => [5,1,6,8,4,7,2,3] => [7,4,8,6,1,2,5,3] => 0001111
[5,8,3,2,6,1,7,4] => [6,3,8,7,5,2,1,4] => [5,7,3,2,8,1,6,4] => 0100111
[4,5,3,8,6,2,7,1] => [7,6,5,4,3,8,2,1] => [4,5,3,8,6,2,7,1] => 0001111
[5,8,2,4,7,6,1,3] => [6,7,2,1,5,8,4,3] => [5,8,2,4,7,6,1,3] => 0000111
[8,7,5,4,1,6,2,3] => [4,5,2,7,6,1,8,3] => [6,2,8,7,5,4,1,3] => 0011111
[2,7,6,4,5,8,1,3] => [8,2,1,6,4,7,5,3] => [2,7,6,4,5,8,1,3] => 0000111
[7,1,6,4,5,8,2,3] => [7,8,2,6,4,1,5,3] => [6,4,8,2,5,7,1,3] => 0000111
[2,1,7,6,5,8,3,4] => [2,1,8,3,6,7,5,4] => [2,1,7,6,5,8,3,4] => 1000111
[6,8,3,5,2,1,7,4] => [2,5,8,7,3,6,1,4] => [6,7,3,8,2,1,5,4] => 1001011
[7,8,5,4,2,6,1,3] => [6,4,1,5,8,2,7,3] => [7,8,5,4,1,6,2,3] => 0011101
[8,1,4,2,5,6,7,3] => [8,4,7,1,2,5,6,3] => [7,1,4,2,5,6,8,3] => 0010011
[4,8,1,2,5,6,7,3] => [8,1,7,4,2,5,6,3] => [4,7,1,2,5,6,8,3] => 0000011
[3,4,8,1,5,6,7,2] => [8,7,3,4,1,5,6,2] => [3,4,7,1,5,6,8,2] => 0000011
[3,4,2,8,5,6,7,1] => [7,4,3,2,8,5,6,1] => [3,4,2,8,5,6,7,1] => 0010011
[2,4,1,8,5,6,7,3] => [4,2,7,1,8,5,6,3] => [2,8,5,6,7,1,4,3] => 0010011
[8,4,2,1,5,6,7,3] => [2,4,8,7,3,5,6,1] => [7,3,5,6,8,4,2,1] => 1010011
[7,5,2,4,8,6,1,3] => [6,5,2,1,8,7,4,3] => [7,5,2,4,8,6,1,3] => 0001111
[2,1,5,3,8,6,7,4] => [2,1,5,7,3,8,6,4] => [2,1,8,6,7,3,5,4] => 1001011
[6,4,3,5,8,1,7,2] => [8,7,4,6,3,5,1,2] => [6,4,3,5,7,1,8,2] => 0010111
[7,3,5,4,8,6,1,2] => [6,1,8,5,2,7,4,3] => [5,1,2,7,4,8,6,3] => 0001111
[4,3,1,8,5,6,7,2] => [3,4,7,2,8,5,6,1] => [8,5,6,7,2,4,3,1] => 0110011
[3,1,4,8,5,6,7,2] => [3,7,1,4,8,5,6,2] => [4,8,5,6,7,1,3,2] => 0100011
[5,1,7,4,8,6,3,2] => [5,3,6,8,1,7,2,4] => [7,3,1,8,6,2,5,4] => 0101111
[2,5,7,4,8,6,3,1] => [3,2,6,8,5,7,1,4] => [2,5,7,3,1,8,6,4] => 0100111
[5,6,3,7,1,8,4,2] => [7,4,8,6,5,2,1,3] => [5,6,2,8,4,1,7,3] => 0010111
[3,8,7,4,5,2,1,6] => [2,5,3,7,4,1,8,6] => [3,8,7,4,5,2,1,6] => 1001011
[3,7,5,4,8,6,2,1] => [2,6,3,5,8,7,1,4] => [3,7,5,2,1,8,6,4] => 1001111
[5,7,1,4,8,6,2,3] => [7,6,2,1,5,8,4,3] => [5,8,6,2,4,7,1,3] => 0000111
[4,6,3,5,8,2,7,1] => [7,8,6,4,3,5,2,1] => [4,6,3,5,8,2,7,1] => 0000111
[4,6,3,8,1,2,7,5] => [8,1,6,4,7,3,2,5] => [4,7,3,6,1,2,8,5] => 0000111
[3,7,8,4,1,6,2,5] => [4,8,3,6,1,2,7,5] => [3,6,1,7,8,4,2,5] => 0010101
[3,2,5,1,6,8,4,7] => [5,3,2,8,1,6,4,7] => [3,2,6,8,1,5,4,7] => 0101001
[3,6,2,5,4,8,1,7] => [8,6,3,5,2,4,1,7] => [3,5,2,6,4,8,1,7] => 0001101
[3,5,2,4,7,1,8,6] => [7,5,3,2,4,8,1,6] => [3,5,2,4,8,1,7,6] => 0001011
[4,2,5,8,3,7,6,1] => [6,4,7,2,5,8,1,3] => [5,8,2,4,1,7,6,3] => 0010111
[6,3,5,1,4,8,2,7] => [5,8,6,1,3,4,2,7] => [6,1,8,3,4,5,2,7] => 0001101
[4,6,1,5,3,8,2,7] => [6,8,5,4,1,3,2,7] => [4,5,1,8,3,6,2,7] => 0001101
[5,4,3,2,7,1,8,6] => [7,3,4,5,2,8,1,6] => [5,4,3,2,8,1,7,6] => 0111011
[5,4,3,8,2,7,6,1] => [6,7,4,5,3,8,1,2] => [5,4,3,8,1,7,6,2] => 0011111
[4,3,6,2,8,7,5,1] => [5,7,4,3,6,1,8,2] => [4,3,6,1,8,7,5,2] => 0011111
[4,3,7,6,2,1,8,5] => [2,6,4,3,7,8,5,1] => [4,3,8,5,7,6,2,1] => 1010111
[6,4,3,1,7,2,8,5] => [3,4,6,7,8,1,2,5] => [8,1,7,4,3,2,6,5] => 0110111
[7,5,4,3,1,8,2,6] => [3,4,5,7,8,1,2,6] => [8,1,7,5,4,3,2,6] => 0111011
[1,4,7,5,8,3,2,6] => [1,3,8,4,7,2,5,6] => [1,4,7,3,2,8,5,6] => 0100011
[7,1,3,5,8,4,2,6] => [7,4,1,8,3,2,5,6] => [8,4,1,3,7,2,5,6] => 0010011
[7,2,5,8,4,1,3,6] => [4,8,2,7,1,3,5,6] => [7,2,8,4,1,3,5,6] => 0010011
[2,8,5,7,4,6,1,3] => [6,2,1,7,8,4,5,3] => [2,8,4,7,5,6,1,3] => 0000111
[3,5,8,7,1,4,6,2] => [7,6,3,1,5,4,8,2] => [3,5,6,1,4,8,7,2] => 0000111
[1,4,5,8,7,3,6,2] => [1,6,7,4,5,3,8,2] => [1,4,5,8,7,3,6,2] => 0000111
[1,5,4,8,7,3,6,2] => [1,6,7,5,4,3,8,2] => [1,5,4,8,7,3,6,2] => 0001111
[4,8,3,7,6,5,2,1] => [2,5,6,4,7,8,3,1] => [4,8,3,7,6,5,2,1] => 1001111
[5,3,8,7,6,4,2,1] => [2,4,6,5,1,7,8,3] => [5,2,1,8,7,6,4,3] => 1011111
[7,5,3,1,8,6,4,2] => [3,5,4,7,6,8,1,2] => [8,6,4,1,7,5,3,2] => 0111111
[1,8,6,5,3,7,4,2] => [1,4,7,5,6,8,2,3] => [1,8,6,5,2,7,4,3] => 0011111
[1,5,8,6,3,7,4,2] => [1,4,7,6,5,8,2,3] => [1,5,8,6,2,7,4,3] => 0010111
[4,6,1,8,7,3,5,2] => [6,5,7,4,3,1,8,2] => [4,8,7,3,5,1,6,2] => 0001111
[6,8,7,3,1,4,5,2] => [3,7,5,2,4,6,8,1] => [5,2,4,6,8,7,3,1] => 0101011
[6,2,8,7,4,5,1,3] => [5,6,1,7,4,2,8,3] => [8,7,4,6,1,5,2,3] => 0001111
[7,6,2,8,4,1,3,5] => [4,8,2,6,3,7,1,5] => [7,6,2,3,8,4,1,5] => 0010111
[1,7,6,4,8,3,2,5] => [1,3,8,6,2,7,4,5] => [1,7,6,3,2,8,4,5] => 0100111
[5,7,1,6,3,2,8,4] => [7,3,6,8,5,1,2,4] => [5,8,3,1,6,2,7,4] => 0100111
[6,1,7,5,3,2,8,4] => [6,3,5,7,8,1,4,2] => [8,3,1,7,5,4,6,2] => 0101111
[7,6,5,3,2,1,8,4] => [2,3,5,6,7,8,1,4] => [8,3,2,1,7,6,5,4] => 1101111
[6,5,3,2,8,7,4,1] => [4,3,7,5,6,1,8,2] => [6,5,3,1,8,7,4,2] => 0111111
[5,2,7,6,3,1,8,4] => [3,6,5,7,1,8,4,2] => [8,1,5,4,7,6,3,2] => 0101111
[6,5,2,1,7,3,8,4] => [2,5,6,7,8,3,4,1] => [8,3,7,4,6,5,2,1] => 1001111
[5,2,7,4,1,8,3,6] => [4,7,5,8,3,1,2,6] => [8,3,5,1,7,4,2,6] => 0011011
[2,4,8,6,3,7,5,1] => [5,2,7,4,6,8,1,3] => [2,4,8,6,1,7,5,3] => 0001111
[3,8,6,2,4,7,5,1] => [5,7,3,1,6,8,4,2] => [3,8,6,1,4,7,5,2] => 0001111
[7,3,6,2,4,1,8,5] => [4,6,7,2,8,3,1,5] => [8,2,7,3,4,1,6,5] => 0010111
[4,3,7,8,2,1,5,6] => [2,8,4,3,1,5,7,6] => [4,3,7,8,2,1,5,6] => 1010001
[8,3,7,1,4,6,2,5] => [7,6,8,1,2,4,3,5] => [8,1,6,2,4,7,3,5] => 0000111
[3,8,2,5,7,1,6,4] => [7,8,3,6,2,1,5,4] => [3,6,2,8,1,5,7,4] => 0000111
[8,7,3,6,2,5,4,1] => [4,5,6,7,3,1,8,2] => [8,7,3,6,1,5,4,2] => 0011111
[4,7,8,2,1,6,5,3] => [2,8,5,4,6,1,7,3] => [4,6,5,2,1,7,8,3] => 1001101
[4,2,6,8,1,7,5,3] => [8,4,5,2,7,6,1,3] => [6,7,5,2,4,1,8,3] => 0011011
[5,8,3,7,1,6,2,4] => [7,6,8,2,5,1,3,4] => [5,8,2,6,1,7,3,4] => 0000111
[5,8,7,2,6,1,3,4] => [6,7,1,3,5,2,8,4] => [5,8,7,1,3,6,2,4] => 0000111
[8,6,2,7,5,1,3,4] => [5,7,2,3,6,8,1,4] => [8,6,2,3,7,5,1,4] => 0001111
[3,6,8,1,7,5,2,4] => [8,5,3,2,7,6,1,4] => [3,6,7,5,2,8,1,4] => 0001011
[5,1,6,8,2,7,4,3] => [5,8,4,7,1,6,2,3] => [6,7,4,1,8,2,5,3] => 0011011
[5,2,7,1,8,6,4,3] => [7,5,4,6,2,8,1,3] => [8,6,4,2,5,1,7,3] => 0011111
[5,8,2,7,6,4,3,1] => [3,4,6,7,5,8,1,2] => [5,8,1,7,6,4,3,2] => 0110111
[6,2,8,7,5,4,3,1] => [3,4,5,7,6,1,8,2] => [6,1,8,7,5,4,3,2] => 0111111
[7,6,2,1,8,5,4,3] => [2,6,4,5,7,8,3,1] => [8,5,4,3,7,6,2,1] => 1011111
[6,1,7,2,8,5,4,3] => [6,7,4,5,8,1,2,3] => [8,5,4,1,7,2,6,3] => 0011111
[7,5,1,8,2,6,4,3] => [5,7,4,8,6,3,2,1] => [6,4,3,8,2,7,5,1] => 0011111
[4,7,1,8,6,2,5,3] => [7,6,5,4,2,8,1,3] => [4,5,2,8,6,1,7,3] => 0001111
[6,8,1,7,5,4,3,2] => [8,3,4,5,7,6,1,2] => [6,7,5,4,3,1,8,2] => 0111011
[7,1,8,6,5,4,3,2] => [7,3,4,5,6,8,1,2] => [8,6,5,4,3,1,7,2] => 0111111
[5,4,2,3,7,6,1,8] => [6,4,2,5,3,7,1,8] => [5,4,2,3,7,6,1,8] => 0011110
[8,4,2,6,3,1,5,7] => [3,6,4,8,2,1,5,7] => [8,4,2,6,3,1,5,7] => 0110101
[3,2,7,6,4,5,1,8] => [5,3,2,6,4,7,1,8] => [3,2,7,6,4,5,1,8] => 0101110
[4,7,2,6,3,5,1,8] => [5,7,6,4,3,2,1,8] => [4,6,3,7,2,5,1,8] => 0001110
[5,7,6,2,3,4,1,8] => [4,6,2,3,5,7,1,8] => [5,7,6,2,3,4,1,8] => 0010110
[6,8,5,2,3,1,4,7] => [3,5,2,1,8,6,4,7] => [6,8,5,2,3,1,4,7] => 0101001
[5,8,6,2,3,1,4,7] => [3,6,2,1,5,8,4,7] => [5,8,6,2,3,1,4,7] => 0100101
[4,8,2,6,3,1,5,7] => [3,6,8,4,2,1,5,7] => [4,8,2,6,3,1,5,7] => 0100101
[3,2,8,6,4,1,5,7] => [4,3,2,6,1,8,5,7] => [3,2,8,6,4,1,5,7] => 0110101
[3,2,1,6,4,8,5,7] => [2,3,1,6,8,4,5,7] => [3,2,1,8,4,6,5,7] => 1100101
[7,1,5,2,8,3,4,6] => [7,5,8,3,1,4,2,6] => [8,3,5,1,4,7,2,6] => 0001011
[1,8,5,2,7,3,4,6] => [1,5,8,2,7,4,3,6] => [1,7,2,4,8,5,3,6] => 0001011
[1,8,6,7,2,3,4,5] => [1,7,2,3,4,8,6,5] => [1,8,6,7,2,3,4,5] => 0000011
[8,1,6,7,2,3,4,5] => [8,7,2,3,4,1,6,5] => [7,2,3,4,6,8,1,5] => 0000011
[7,1,6,8,2,3,4,5] => [7,8,2,3,4,1,6,5] => [8,2,3,4,6,7,1,5] => 0000011
[3,2,1,7,8,4,5,6] => [2,3,1,8,4,5,7,6] => [3,2,1,7,8,4,5,6] => 1100001
[3,2,8,7,1,4,5,6] => [7,3,2,1,4,5,8,6] => [3,2,8,7,1,4,5,6] => 0100011
[5,8,7,2,1,3,4,6] => [2,7,1,3,5,4,8,6] => [5,8,7,2,1,3,4,6] => 1000011
[1,7,6,8,2,3,4,5] => [1,8,2,3,4,7,6,5] => [1,7,6,8,2,3,4,5] => 0000011
[6,5,8,2,3,1,4,7] => [3,8,2,1,6,5,4,7] => [6,5,8,2,3,1,4,7] => 0100101
[8,5,7,2,1,3,4,6] => [2,7,1,3,8,4,5,6] => [8,2,1,3,4,7,5,6] => 1000011
[6,4,2,8,3,1,5,7] => [3,8,4,6,2,1,5,7] => [6,4,2,8,3,1,5,7] => 0110101
[5,4,2,3,8,1,6,7] => [8,4,2,5,3,1,6,7] => [5,4,2,3,8,1,6,7] => 0011001
[3,2,5,4,1,8,6,7] => [4,3,2,5,1,8,6,7] => [3,2,5,4,1,8,6,7] => 0111001
[4,5,2,3,1,8,6,7] => [3,5,2,4,1,8,6,7] => [4,5,2,3,1,8,6,7] => 0101001
[5,4,2,3,1,8,6,7] => [3,4,2,5,1,8,6,7] => [5,4,2,3,1,8,6,7] => 0111001
[6,4,2,1,3,8,5,7] => [2,4,1,6,8,3,5,7] => [8,4,2,1,3,6,5,7] => 1010101
[8,4,2,1,7,3,5,6] => [2,4,8,7,1,5,3,6] => [7,2,1,5,8,4,3,6] => 1010011
[1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => [1,5,7,3,4,8,2,6] => 0000011
[4,6,2,1,3,8,5,7] => [2,6,1,4,8,3,5,7] => [4,8,2,1,3,6,5,7] => 1000101
[3,2,6,1,4,8,5,7] => [6,3,2,1,8,4,5,7] => [3,2,8,1,4,6,5,7] => 0100101
[3,2,7,1,8,4,5,6] => [7,3,2,8,4,5,1,6] => [3,2,8,4,5,7,1,6] => 0100011
[1,6,8,7,2,3,4,5] => [1,7,2,3,4,6,8,5] => [1,6,8,7,2,3,4,5] => 0000011
[1,7,8,6,2,3,4,5] => [1,6,2,3,4,8,7,5] => [1,7,8,6,2,3,4,5] => 0000101
[7,8,1,6,2,3,4,5] => [8,6,2,3,4,1,7,5] => [6,2,3,4,7,8,1,5] => 0000101
[6,8,1,7,2,3,4,5] => [8,7,2,3,4,6,1,5] => [6,7,2,3,4,8,1,5] => 0000011
[3,2,8,1,7,4,5,6] => [8,3,2,7,4,5,1,6] => [3,2,7,4,5,8,1,6] => 0100011
[3,2,1,8,7,4,5,6] => [2,3,1,7,4,5,8,6] => [3,2,1,8,7,4,5,6] => 1100011
[5,1,8,2,7,3,4,6] => [5,8,7,3,1,4,2,6] => [7,3,8,1,4,5,2,6] => 0001011
[6,1,8,7,2,3,4,5] => [6,7,2,3,4,1,8,5] => [8,7,2,3,4,6,1,5] => 0000111
[8,1,7,6,2,3,4,5] => [8,6,2,3,4,7,1,5] => [7,6,2,3,4,8,1,5] => 0000111
[1,8,7,6,2,3,4,5] => [1,6,2,3,4,7,8,5] => [1,8,7,6,2,3,4,5] => 0000111
[4,3,5,6,1,2,8,7] => [6,1,4,3,5,2,8,7] => [4,3,5,6,1,2,8,7] => 0010101
[8,5,2,7,4,1,3,6] => [4,7,2,5,8,3,1,6] => [8,5,2,3,7,4,1,6] => 0011011
[2,6,1,5,4,3,8,7] => [6,2,4,5,1,3,8,7] => [2,5,4,1,6,3,8,7] => 0011101
[6,4,3,5,1,2,8,7] => [5,1,4,6,3,2,8,7] => [6,4,3,5,1,2,8,7] => 0011101
[5,3,1,4,6,2,8,7] => [3,5,6,2,4,1,8,7] => [6,2,4,5,3,1,8,7] => 0101101
[3,1,4,6,5,2,8,7] => [3,5,1,4,6,2,8,7] => [4,6,5,1,3,2,8,7] => 0101101
[5,7,4,6,2,8,3,1] => [3,8,6,7,5,4,1,2] => [5,7,4,6,1,8,3,2] => 0100111
[8,1,4,7,2,6,3,5] => [8,7,6,1,3,2,4,5] => [6,1,7,3,8,2,4,5] => 0000111
[3,4,7,8,5,2,1,6] => [2,5,3,4,8,1,7,6] => [3,4,7,8,5,2,1,6] => 1001001
[2,1,8,5,7,3,4,6] => [2,1,7,3,8,4,5,6] => [2,1,8,3,4,7,5,6] => 1000011
[8,6,3,5,1,7,4,2] => [5,4,7,6,2,8,1,3] => [8,6,2,7,4,1,5,3] => 0011111
[3,4,8,6,5,7,1,2] => [7,1,3,4,6,8,5,2] => [3,4,8,6,5,7,1,2] => 0000111
[7,5,4,8,1,6,3,2] => [8,3,6,5,7,1,4,2] => [7,5,3,1,6,4,8,2] => 0101111
[2,5,4,6,7,1,8,3] => [7,2,8,5,4,6,1,3] => [2,5,4,6,8,1,7,3] => 0001011
[4,1,6,3,8,5,7,2] => [4,7,6,1,8,3,5,2] => [8,1,6,5,7,3,4,2] => 0010111
[3,7,4,2,8,6,5,1] => [5,4,3,6,8,7,2,1] => [3,7,4,2,8,6,5,1] => 0011111
[7,4,1,3,5,8,6,2] => [4,7,2,6,3,8,5,1] => [8,6,2,3,5,7,4,1] => 0010111
[2,1,4,8,3,7,6,5] => [2,1,8,4,6,7,3,5] => [2,1,4,7,6,3,8,5] => 1000111
[7,4,3,8,2,1,6,5] => [2,8,4,7,6,1,3,5] => [6,4,2,1,7,3,8,5] => 1010111
[6,3,7,4,1,8,2,5] => [4,7,8,6,3,1,2,5] => [6,3,8,1,7,4,2,5] => 0010111
[3,1,8,2,7,6,5,4] => [3,8,1,5,6,7,2,4] => [7,6,5,1,3,2,8,4] => 0101111
[4,3,7,2,6,8,5,1] => [5,8,4,3,7,1,6,2] => [4,3,7,1,6,8,5,2] => 0011011
[3,8,2,1,7,5,6,4] => [2,8,3,6,7,5,1,4] => [3,7,5,6,2,1,8,4] => 1000111
[2,7,8,5,4,3,1,6] => [3,2,4,5,8,1,7,6] => [2,7,8,5,4,3,1,6] => 0111001
[3,8,6,7,2,4,1,5] => [4,7,3,2,1,8,6,5] => [3,8,6,7,2,4,1,5] => 0010011
[4,3,8,7,2,1,6,5] => [2,7,4,3,6,1,8,5] => [4,3,6,2,1,8,7,5] => 1010111
[8,3,6,1,4,2,7,5] => [6,4,8,1,7,3,2,5] => [7,1,4,3,8,2,6,5] => 0010111
[7,3,5,8,2,4,1,6] => [4,8,7,2,3,1,5,6] => [7,2,8,3,4,1,5,6] => 0010011
[2,3,4,1,8,5,7,6] => [4,2,3,1,8,7,5,6] => [2,3,4,1,7,5,8,6] => 0010011
[4,1,3,2,6,7,8,5] => [4,3,1,2,8,6,7,5] => [3,1,4,2,6,7,8,5] => 0110001
[5,3,6,1,8,7,2,4] => [6,7,5,2,3,1,8,4] => [5,2,8,7,3,6,1,4] => 0001111
[5,6,2,8,7,4,1,3] => [4,7,2,6,5,1,8,3] => [5,6,2,8,7,4,1,3] => 0010111
[7,8,5,6,1,4,2,3] => [6,4,2,1,8,5,7,3] => [4,2,7,8,5,6,1,3] => 0010101
[2,8,6,5,4,7,1,3] => [7,2,1,5,6,8,4,3] => [2,8,6,5,4,7,1,3] => 0001111
[8,1,6,4,5,7,2,3] => [8,7,2,6,4,1,5,3] => [6,4,7,2,5,8,1,3] => 0000111
[5,8,3,6,1,7,2,4] => [6,7,8,2,5,3,1,4] => [5,8,2,7,3,6,1,4] => 0000111
[2,1,8,6,5,7,3,4] => [2,1,7,3,6,8,5,4] => [2,1,8,6,5,7,3,4] => 1000111
[2,1,7,5,3,6,8,4] => [2,1,5,7,8,4,6,3] => [2,1,8,4,6,7,5,3] => 1001011
[6,7,3,5,2,1,8,4] => [2,5,7,8,3,6,1,4] => [6,8,3,7,2,1,5,4] => 1001011
[7,1,4,2,5,6,8,3] => [7,4,8,1,2,5,6,3] => [8,1,4,2,5,6,7,3] => 0010011
[4,6,1,2,8,7,3,5] => [6,1,7,4,3,2,8,5] => [4,8,7,3,6,1,2,5] => 0000111
[2,4,1,5,8,7,6,3] => [4,2,6,1,5,7,8,3] => [2,5,8,7,6,1,4,3] => 0010111
[4,1,2,5,8,6,7,3] => [4,1,7,2,5,8,6,3] => [5,8,6,7,1,2,4,3] => 0010011
[6,4,2,1,5,8,7,3] => [2,4,6,7,3,5,8,1] => [8,7,3,5,6,4,2,1] => 1010111
[8,5,2,4,6,1,7,3] => [6,5,8,3,7,4,1,2] => [7,3,4,8,5,1,6,2] => 0001111
[7,5,3,2,6,8,1,4] => [8,3,5,1,7,2,6,4] => [7,5,3,1,6,8,2,4] => 0101011
[2,1,5,3,6,8,7,4] => [2,1,5,7,3,6,8,4] => [2,1,6,8,7,3,5,4] => 1001011
[7,3,5,4,6,1,8,2] => [6,8,7,5,3,4,1,2] => [5,3,7,4,8,1,6,2] => 0001111
[6,3,4,1,5,7,8,2] => [4,8,6,3,1,5,7,2] => [6,3,5,7,8,1,4,2] => 0010101
[4,5,2,6,3,1,8,7] => [3,6,5,4,1,2,8,7] => [4,5,1,6,3,2,8,7] => 0101101
[6,5,2,1,4,3,8,7] => [2,5,4,1,6,3,8,7] => [4,2,1,6,5,3,8,7] => 1011101
[6,5,2,7,4,8,3,1] => [3,8,5,6,7,4,1,2] => [7,4,6,5,1,8,3,2] => 0101111
[8,5,2,7,4,1,6,3] => [4,7,5,8,6,2,1,3] => [6,2,8,5,1,7,4,3] => 0011111
[6,3,7,5,2,8,4,1] => [4,8,5,7,6,3,1,2] => [6,3,7,5,1,8,4,2] => 0011111
[3,1,6,5,4,2,8,7] => [3,4,1,5,6,2,8,7] => [6,5,4,1,3,2,8,7] => 0111101
[5,6,3,2,4,1,8,7] => [4,3,6,2,5,1,8,7] => [5,6,3,2,4,1,8,7] => 0110101
[3,6,2,4,1,5,8,7] => [4,6,3,2,1,5,8,7] => [3,6,2,4,1,5,8,7] => 0010101
[2,6,1,3,5,4,8,7] => [6,2,1,5,3,4,8,7] => [2,5,1,3,6,4,8,7] => 0001101
[6,7,2,3,4,8,5,1] => [5,8,1,3,7,6,4,2] => [6,7,1,3,4,8,5,2] => 0001011
[5,1,7,3,8,4,6,2] => [5,6,7,8,1,4,3,2] => [8,1,7,4,6,3,5,2] => 0001111
[2,5,7,3,8,6,4,1] => [4,2,6,8,5,7,3,1] => [2,5,7,3,8,6,4,1] => 0010111
[7,6,1,3,5,8,4,2] => [6,4,2,7,3,8,5,1] => [8,4,2,3,5,7,6,1] => 0010111
[3,6,7,4,1,8,5,2] => [4,7,3,5,8,6,2,1] => [3,6,8,5,2,7,4,1] => 0011011
[5,6,3,7,4,8,1,2] => [8,1,6,7,5,3,4,2] => [5,7,3,6,4,8,1,2] => 0000111
[2,1,6,7,4,8,5,3] => [2,1,5,8,7,6,3,4] => [2,1,6,7,3,8,5,4] => 1001011
[2,1,8,7,4,3,6,5] => [2,1,4,7,6,3,8,5] => [2,1,6,4,3,8,7,5] => 1010111
[5,8,3,7,4,2,6,1] => [6,4,7,8,5,3,2,1] => [5,8,3,7,4,2,6,1] => 0010111
[3,8,7,4,1,2,6,5] => [4,1,3,7,6,2,8,5] => [3,6,4,1,2,8,7,5] => 0010111
[8,1,6,3,2,5,4,7] => [8,3,6,5,2,1,4,7] => [5,3,2,6,1,8,4,7] => 0101101
[2,8,4,1,6,3,7,5] => [4,2,8,6,7,3,1,5] => [2,7,3,6,4,1,8,5] => 0010111
[4,8,1,2,7,6,3,5] => [8,1,6,4,3,7,2,5] => [4,7,6,3,8,1,2,5] => 0000111
[3,8,4,2,5,7,1,6] => [7,4,3,8,2,1,5,6] => [3,8,4,2,7,1,5,6] => 0010011
[2,1,5,3,8,7,6,4] => [2,1,5,6,3,7,8,4] => [2,1,8,7,6,3,5,4] => 1001111
[7,5,2,4,8,1,6,3] => [8,5,7,3,6,1,4,2] => [6,3,7,5,1,4,8,2] => 0001111
[3,4,2,8,5,7,6,1] => [6,4,3,2,7,8,1,5] => [3,4,2,8,1,7,6,5] => 0010111
[2,4,1,8,7,6,5,3] => [4,2,5,1,6,7,8,3] => [2,8,7,6,5,1,4,3] => 0011111
[8,4,2,1,7,5,3,6] => [2,4,8,5,7,1,3,6] => [7,5,2,1,8,4,3,6] => 1011011
[4,3,1,8,6,7,5,2] => [3,4,5,2,7,8,6,1] => [8,6,7,5,2,4,3,1] => 0111011
[3,1,4,8,6,5,7,2] => [3,7,1,4,6,8,5,2] => [4,8,6,5,7,1,3,2] => 0100111
[7,1,6,5,4,8,2,3] => [7,8,2,5,6,1,4,3] => [6,5,2,8,4,7,1,3] => 0001111
[3,7,5,6,8,4,2,1] => [2,4,3,8,7,5,6,1] => [3,7,5,6,8,4,2,1] => 1010011
[5,7,1,6,8,2,4,3] => [7,8,4,2,5,1,6,3] => [4,2,5,8,1,6,7,3] => 0010011
[8,6,2,5,1,7,4,3] => [5,6,4,8,3,7,1,2] => [7,4,3,8,6,1,5,2] => 0011111
[7,5,2,6,3,8,1,4] => [8,5,7,1,6,3,2,4] => [6,1,7,5,3,8,2,4] => 0001111
[4,1,2,3,6,8,7,5] => [4,1,2,3,7,6,8,5] => [4,1,2,3,6,8,7,5] => 0010011
[2,4,3,1,8,5,6,7] => [3,2,4,1,8,5,6,7] => [2,4,3,1,8,5,6,7] => 0110001
[5,6,2,8,4,3,1,7] => [3,4,8,6,5,2,1,7] => [5,6,2,8,4,3,1,7] => 0110101
[4,7,2,8,1,5,3,6] => [8,7,5,4,1,3,2,6] => [4,5,1,7,3,8,2,6] => 0001011
[5,7,8,6,3,4,1,2] => [4,1,6,3,5,8,7,2] => [5,7,8,6,3,4,1,2] => 0010101
[2,7,8,4,5,3,6,1] => [6,2,5,8,4,3,7,1] => [2,7,8,4,5,3,6,1] => 0001101
[5,7,3,8,1,4,6,2] => [8,6,7,1,5,4,3,2] => [5,7,1,4,6,3,8,2] => 0000111
[2,1,7,8,5,4,6,3] => [2,1,6,5,8,4,7,3] => [2,1,7,8,5,4,6,3] => 1001101
[2,1,5,8,4,6,3,7] => [2,1,6,8,5,4,3,7] => [2,1,5,8,4,6,3,7] => 1000101
[6,5,3,8,4,1,2,7] => [4,1,8,5,6,2,3,7] => [6,5,1,2,8,4,3,7] => 0011101
[7,5,8,4,3,6,2,1] => [2,6,4,8,7,3,5,1] => [7,4,3,8,5,6,2,1] => 1010111
[2,4,8,3,5,6,1,7] => [6,2,8,4,3,5,1,7] => [2,4,8,3,5,6,1,7] => 0000101
[3,4,8,1,7,2,5,6] => [8,7,3,4,2,5,1,6] => [3,4,7,2,5,8,1,6] => 0000011
[3,1,8,2,4,7,6,5] => [3,8,1,2,6,7,4,5] => [7,6,1,3,2,4,8,5] => 0100111
[4,3,8,2,5,1,7,6] => [5,8,4,3,2,7,1,6] => [4,3,7,2,5,1,8,6] => 0011011
[6,3,8,4,2,5,7,1] => [7,4,8,6,3,2,5,1] => [6,3,8,4,2,5,7,1] => 0010111
[7,4,3,8,2,5,1,6] => [5,8,4,7,2,1,3,6] => [7,4,2,8,1,5,3,6] => 0011011
[2,1,4,8,3,5,7,6] => [2,1,8,4,3,7,5,6] => [2,1,4,7,3,5,8,6] => 1000011
[4,8,2,3,5,1,6,7] => [5,8,2,4,3,1,6,7] => [4,8,2,3,5,1,6,7] => 0001001
[3,8,2,1,4,6,5,7] => [2,8,3,1,6,4,5,7] => [3,6,2,1,4,8,5,7] => 1000101
[2,8,1,3,4,5,7,6] => [8,2,1,3,4,7,5,6] => [2,7,1,3,4,5,8,6] => 0000011
[2,8,4,1,6,5,3,7] => [4,2,8,5,6,3,1,7] => [2,6,5,3,8,4,1,7] => 0011101
[2,8,4,1,6,5,7,3] => [4,2,8,7,6,3,5,1] => [2,6,3,7,5,8,4,1] => 0010111
[2,8,7,6,1,4,3,5] => [6,2,4,1,3,7,8,5] => [2,4,1,8,7,6,3,5] => 0010111
[2,8,5,6,7,4,3,1] => [3,2,4,7,8,5,6,1] => [2,8,5,6,7,4,3,1] => 0110011
[7,5,8,6,1,4,2,3] => [6,4,2,1,8,7,3,5] => [4,2,7,1,3,8,6,5] => 0010111
[3,5,7,6,1,4,2,8] => [6,4,3,1,5,7,2,8] => [3,4,1,5,7,6,2,8] => 0010110
[3,5,7,2,4,1,6,8] => [4,7,3,2,5,1,6,8] => [3,5,7,2,4,1,6,8] => 0010010
[2,8,5,3,4,1,6,7] => [4,2,5,3,8,1,6,7] => [2,8,5,3,4,1,6,7] => 0011001
[2,8,5,6,7,4,1,3] => [4,2,1,7,8,5,6,3] => [2,8,5,6,7,4,1,3] => 0010011
[2,8,5,3,4,6,1,7] => [6,2,5,3,8,4,1,7] => [2,8,5,3,4,6,1,7] => 0001101
[2,8,5,3,4,6,7,1] => [7,2,5,3,8,4,6,1] => [2,8,5,3,4,6,7,1] => 0001011
[3,5,7,2,4,6,1,8] => [6,7,3,2,5,4,1,8] => [3,5,7,2,4,6,1,8] => 0000110
[7,5,8,2,4,6,3,1] => [3,6,8,1,7,4,5,2] => [7,1,4,8,5,6,3,2] => 0100111
[3,5,6,2,1,8,7,4] => [2,6,3,7,5,1,8,4] => [3,5,8,7,2,1,6,4] => 1000111
[3,5,7,6,1,4,8,2] => [6,7,3,2,5,8,4,1] => [3,5,8,2,4,7,6,1] => 0000111
[3,5,7,2,4,6,8,1] => [8,7,3,2,5,4,6,1] => [3,5,7,2,4,6,8,1] => 0000011
[6,5,2,7,3,1,8,4] => [3,7,5,6,8,4,2,1] => [8,4,6,5,2,7,3,1] => 0101111
[4,5,2,6,3,1,7,8] => [3,6,5,4,1,2,7,8] => [4,5,1,6,3,2,7,8] => 0101100
[4,1,2,3,7,6,8,5] => [4,1,2,3,8,7,6,5] => [4,1,2,3,7,6,8,5] => 0010011
[5,1,2,8,6,4,7,3] => [5,1,7,6,2,8,4,3] => [8,6,1,2,7,4,5,3] => 0001111
[4,1,2,3,8,7,5,6] => [4,1,2,3,7,5,8,6] => [4,1,2,3,8,7,5,6] => 0010011
[4,1,2,3,8,6,5,7] => [4,1,2,3,6,8,5,7] => [4,1,2,3,8,6,5,7] => 0010101
[4,1,2,3,8,6,7,5] => [4,1,2,3,7,8,6,5] => [4,1,2,3,8,6,7,5] => 0010011
[4,1,2,3,7,6,5,8] => [4,1,2,3,6,7,5,8] => [4,1,2,3,7,6,5,8] => 0010110
[4,1,2,3,8,5,7,6] => [4,1,2,3,8,7,5,6] => [4,1,2,3,7,5,8,6] => 0010011
[6,1,2,8,4,5,7,3] => [6,1,7,8,4,2,5,3] => [8,4,7,1,2,5,6,3] => 0000111
[5,6,8,2,3,1,7,4] => [3,8,2,7,5,6,1,4] => [5,6,7,2,3,1,8,4] => 0100011
[6,5,8,2,4,3,7,1] => [7,8,4,2,6,5,3,1] => [4,2,6,5,8,3,7,1] => 0010111
[6,5,2,8,3,7,1,4] => [7,5,6,1,8,3,2,4] => [8,1,6,5,3,7,2,4] => 0001111
[6,5,2,7,3,4,1,8] => [4,5,6,2,7,3,1,8] => [7,2,6,5,3,4,1,8] => 0011110
[5,1,6,7,4,3,2,8] => [5,3,4,7,1,6,2,8] => [6,7,4,3,1,5,2,8] => 0111010
[7,1,6,8,4,3,2,5] => [7,3,4,8,2,1,6,5] => [8,4,3,2,6,7,1,5] => 0110011
[5,7,8,6,3,4,2,1] => [2,4,6,3,5,8,7,1] => [5,7,8,6,3,4,2,1] => 1010101
[4,1,8,3,6,2,7,5] => [4,6,8,1,7,3,2,5] => [7,1,8,3,4,2,6,5] => 0010111
[7,1,6,5,8,3,2,4] => [7,3,8,2,6,1,5,4] => [6,3,2,8,5,7,1,4] => 0100111
[4,1,6,7,8,3,2,5] => [4,3,8,1,2,6,7,5] => [6,7,8,3,1,4,2,5] => 0110001
[4,5,2,7,3,8,1,6] => [8,5,7,4,2,1,3,6] => [4,7,2,5,1,8,3,6] => 0001011
[3,7,5,6,8,4,1,2] => [4,1,3,8,7,5,6,2] => [3,7,5,6,8,4,1,2] => 0010011
[6,1,2,5,8,4,7,3] => [6,1,7,8,2,5,4,3] => [8,1,2,5,7,4,6,3] => 0000111
[7,1,6,5,8,3,4,2] => [7,4,8,3,6,1,5,2] => [6,3,4,1,8,5,7,2] => 0010111
[7,5,2,6,3,8,4,1] => [4,8,5,7,6,1,3,2] => [6,1,7,5,3,8,4,2] => 0011111
[4,1,2,3,5,8,7,6] => [4,1,2,3,5,7,8,6] => [4,1,2,3,5,8,7,6] => 0010011
[4,1,2,3,7,8,6,5] => [4,1,2,3,6,8,7,5] => [4,1,2,3,7,8,6,5] => 0010101
[4,1,2,6,8,5,7,3] => [4,1,7,2,8,6,5,3] => [6,8,5,7,1,2,4,3] => 0010011
[7,8,4,2,1,5,3,6] => [2,4,8,5,3,1,7,6] => [5,3,7,8,4,2,1,6] => 1011001
[7,8,2,1,6,5,3,4] => [2,8,5,3,6,1,7,4] => [6,5,3,7,8,2,1,4] => 1001101
[2,4,8,1,5,7,3,6] => [8,2,7,4,1,3,5,6] => [2,4,7,1,8,3,5,6] => 0000011
[4,3,8,1,7,2,5,6] => [8,7,4,3,2,5,1,6] => [4,3,7,2,5,8,1,6] => 0010011
[7,8,3,4,5,1,6,2] => [5,6,8,3,4,1,7,2] => [7,8,3,4,6,1,5,2] => 0001101
[7,8,3,5,4,2,1,6] => [2,4,5,8,1,3,7,6] => [7,8,2,1,5,4,3,6] => 1011001
[7,8,4,1,2,3,6,5] => [4,1,2,8,6,3,7,5] => [6,4,1,2,3,7,8,5] => 0010101
[7,8,3,6,5,4,1,2] => [4,1,5,6,8,3,7,2] => [7,8,3,6,5,4,1,2] => 0011101
[7,8,2,1,5,3,4,6] => [2,8,5,3,1,4,7,6] => [5,3,7,8,2,1,4,6] => 1001001
[7,8,1,6,5,4,3,2] => [8,3,4,5,6,1,7,2] => [6,5,4,3,1,7,8,2] => 0111101
[6,2,1,7,5,4,3,8] => [2,6,4,5,7,1,3,8] => [7,5,4,2,1,6,3,8] => 1011110
[2,1,8,7,5,4,3,6] => [2,1,4,5,7,3,8,6] => [2,1,8,7,5,4,3,6] => 1011011
[1,3,8,2,6,4,7,5] => [1,8,3,6,7,2,4,5] => [1,3,7,2,6,4,8,5] => 0000111
[5,3,7,1,6,4,8,2] => [7,8,5,6,3,1,4,2] => [6,3,5,1,8,4,7,2] => 0001111
[6,1,2,5,8,7,4,3] => [6,1,4,7,2,5,8,3] => [8,7,4,1,2,5,6,3] => 0010111
[6,4,3,7,5,8,1,2] => [8,1,4,6,7,3,5,2] => [7,4,3,6,5,8,1,2] => 0010111
[4,3,8,7,5,6,1,2] => [6,1,4,3,7,5,8,2] => [4,3,8,7,5,6,1,2] => 0010111
[1,3,7,6,4,2,8,5] => [1,4,3,6,7,8,5,2] => [1,3,8,5,7,6,4,2] => 0010111
[2,1,7,5,6,8,4,3] => [2,1,4,8,7,5,6,3] => [2,1,7,5,6,8,4,3] => 1010011
[3,7,2,8,6,4,1,5] => [4,6,3,8,1,7,2,5] => [3,7,1,8,6,4,2,5] => 0010111
[2,7,5,8,3,6,1,4] => [6,2,8,1,7,3,5,4] => [2,7,1,8,5,6,3,4] => 0000111
[1,5,6,8,2,4,7,3] => [1,8,7,2,5,6,4,3] => [1,5,6,7,2,4,8,3] => 0000011
[2,6,8,5,3,1,4,7] => [3,2,5,1,8,6,4,7] => [2,6,8,5,3,1,4,7] => 0101001
[5,6,7,3,8,4,1,2] => [4,1,8,7,5,6,2,3] => [5,6,7,1,2,8,4,3] => 0010011
[5,2,8,1,4,7,3,6] => [8,5,7,1,2,3,4,6] => [7,1,5,2,8,3,4,6] => 0001011
[4,5,6,7,2,8,1,3] => [8,7,1,4,5,6,2,3] => [4,5,6,7,1,8,2,3] => 0000011
[4,5,7,6,1,8,3,2] => [6,3,7,4,5,8,2,1] => [4,5,8,3,2,7,6,1] => 0100111
[4,6,5,7,1,2,8,3] => [7,1,8,4,6,5,2,3] => [4,6,5,8,1,2,7,3] => 0000111
[5,7,1,4,2,3,8,6] => [7,4,2,1,5,8,3,6] => [4,2,5,8,1,3,7,6] => 0010011
[6,2,4,1,8,3,7,5] => [4,6,8,2,7,1,3,5] => [7,2,8,1,4,3,6,5] => 0010111
[6,1,3,4,5,8,7,2] => [6,7,1,3,4,5,8,2] => [8,7,1,3,4,5,6,2] => 0000111
[5,8,7,6,3,4,1,2] => [4,1,6,3,5,7,8,2] => [5,8,7,6,3,4,1,2] => 0010111
[4,8,2,1,5,6,3,7] => [2,8,6,4,1,5,3,7] => [4,6,2,1,5,8,3,7] => 1000101
[2,1,8,7,6,5,3,4] => [2,1,5,3,6,7,8,4] => [2,1,8,7,6,5,3,4] => 1001111
[4,3,7,5,6,8,1,2] => [8,1,4,3,7,5,6,2] => [4,3,7,5,6,8,1,2] => 0010011
[4,8,6,3,5,7,1,2] => [7,1,6,4,3,8,5,2] => [4,8,6,3,5,7,1,2] => 0000111
[4,8,1,2,5,3,7,6] => [8,1,5,4,2,7,3,6] => [4,5,1,2,7,3,8,6] => 0001011
[5,2,8,7,1,6,4,3] => [7,5,4,6,2,1,8,3] => [6,4,2,5,1,8,7,3] => 0011111
[3,7,8,5,1,2,4,6] => [5,1,3,2,8,4,7,6] => [3,7,8,5,1,2,4,6] => 0001001
[3,7,1,6,4,2,5,8] => [7,4,3,6,2,1,5,8] => [3,6,4,2,7,1,5,8] => 0010110
[4,1,8,6,2,3,5,7] => [4,6,2,1,3,8,5,7] => [8,6,2,4,1,3,5,7] => 0010101
[4,7,8,6,3,5,1,2] => [5,1,6,4,3,8,7,2] => [4,7,8,6,3,5,1,2] => 0001101
[3,8,7,6,5,4,1,2] => [4,1,3,5,6,7,8,2] => [3,8,7,6,5,4,1,2] => 0011111
[2,1,7,6,5,3,4,8] => [2,1,5,3,6,7,4,8] => [2,1,7,6,5,3,4,8] => 1001110
[2,7,8,6,5,4,1,3] => [4,2,1,5,6,8,7,3] => [2,7,8,6,5,4,1,3] => 0011101
[6,4,2,7,1,3,8,5] => [7,4,1,6,8,2,3,5] => [8,4,1,6,2,3,7,5] => 0010111
[7,3,6,2,4,8,1,5] => [8,6,7,2,1,3,4,5] => [7,2,6,1,8,3,4,5] => 0000111
[4,3,7,1,2,5,8,6] => [7,1,4,3,2,8,5,6] => [4,3,8,1,2,5,7,6] => 0010011
[5,3,6,7,1,2,8,4] => [7,1,5,8,3,6,2,4] => [6,8,3,5,1,2,7,4] => 0001011
[3,7,5,1,2,4,8,6] => [5,1,3,2,7,8,4,6] => [3,8,5,1,2,4,7,6] => 0001011
[5,7,4,2,3,8,1,6] => [8,4,2,7,5,1,3,6] => [5,7,4,2,8,1,3,6] => 0010011
[5,7,2,6,1,8,3,4] => [6,7,8,3,5,2,1,4] => [5,8,3,7,2,6,1,4] => 0000111
[7,4,8,5,2,6,1,3] => [6,5,1,8,7,4,2,3] => [7,4,8,5,1,6,2,3] => 0001111
[5,8,2,6,3,7,1,4] => [7,8,6,1,5,2,3,4] => [5,6,1,8,2,7,3,4] => 0000111
[6,3,7,5,8,1,2,4] => [8,1,6,2,7,3,5,4] => [7,1,2,6,5,8,3,4] => 0000111
[2,6,5,8,1,3,4,7] => [8,2,1,3,6,5,4,7] => [2,6,5,8,1,3,4,7] => 0000101
[3,6,5,8,1,2,4,7] => [8,1,3,2,6,5,4,7] => [3,6,5,8,1,2,4,7] => 0000101
[2,5,7,4,8,1,3,6] => [8,2,1,7,5,3,4,6] => [2,5,7,1,3,8,4,6] => 0000011
[5,4,6,7,2,8,1,3] => [8,7,1,5,4,6,2,3] => [5,4,6,7,1,8,2,3] => 0001011
[3,5,7,1,4,8,2,6] => [7,8,3,1,5,2,4,6] => [3,5,8,1,7,2,4,6] => 0000011
[5,4,7,3,8,1,2,6] => [8,1,7,5,4,2,3,6] => [5,4,7,1,2,8,3,6] => 0001011
[7,4,6,3,8,1,2,5] => [8,1,6,7,2,4,3,5] => [7,1,2,6,4,8,3,5] => 0000111
[5,4,1,7,8,2,3,6] => [4,5,1,8,2,3,7,6] => [7,8,1,5,4,2,3,6] => 0011001
[6,5,1,2,7,8,3,4] => [5,1,6,2,8,3,7,4] => [7,8,1,2,6,5,3,4] => 0001101
[4,7,1,5,8,6,2,3] => [7,6,2,4,1,8,5,3] => [4,8,6,2,5,7,1,3] => 0000111
[5,7,2,8,1,6,3,4] => [8,7,6,3,5,1,2,4] => [5,6,3,7,1,8,2,4] => 0000111
[2,4,8,7,1,3,5,6] => [7,2,1,4,3,5,8,6] => [2,4,8,7,1,3,5,6] => 0000011
[4,3,8,7,1,2,5,6] => [7,1,4,3,2,5,8,6] => [4,3,8,7,1,2,5,6] => 0010011
[8,3,7,6,1,2,4,5] => [6,1,7,3,4,8,2,5] => [8,3,4,7,6,1,2,5] => 0000111
[3,5,8,7,1,2,4,6] => [7,1,3,2,5,4,8,6] => [3,5,8,7,1,2,4,6] => 0000011
[2,8,7,6,1,3,4,5] => [6,2,1,3,4,7,8,5] => [2,8,7,6,1,3,4,5] => 0000111
[3,8,7,6,1,2,4,5] => [6,1,3,2,4,7,8,5] => [3,8,7,6,1,2,4,5] => 0000111
[4,8,7,6,1,2,3,5] => [6,1,2,4,3,7,8,5] => [4,8,7,6,1,2,3,5] => 0000111
[5,6,3,1,4,2,8,7] => [3,6,4,2,5,1,8,7] => [4,2,5,6,3,1,8,7] => 0110101
[6,7,1,4,5,8,2,3] => [7,8,2,1,4,6,5,3] => [6,8,2,4,5,7,1,3] => 0000011
[2,1,7,8,5,3,6,4] => [2,1,5,8,6,4,7,3] => [2,1,6,4,7,8,5,3] => 1001101
[5,7,3,8,1,2,6,4] => [8,1,7,6,5,2,3,4] => [5,6,1,2,7,3,8,4] => 0000111
[8,7,1,4,5,3,2,6] => [7,3,5,1,4,2,8,6] => [5,3,1,4,8,7,2,6] => 0101011
[2,7,8,4,1,6,5,3] => [4,2,8,5,6,3,7,1] => [2,6,5,3,7,8,4,1] => 0011101
[7,5,1,4,8,6,3,2] => [5,3,7,2,6,8,4,1] => [8,6,3,2,4,7,5,1] => 0101111
[6,5,3,1,8,4,7,2] => [3,5,6,7,8,1,2,4] => [8,1,7,3,2,6,5,4] => 0101111
[8,7,1,4,2,6,5,3] => [7,4,5,1,6,2,8,3] => [6,5,1,4,2,8,7,3] => 0011111
[2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,7,8,1,9] => 00000010
[2,3,4,5,6,8,9,1,7] => [9,2,3,4,5,6,1,8,7] => [2,3,4,5,6,8,9,1,7] => 00000001
[2,3,4,5,7,8,9,1,6] => [9,2,3,4,5,1,7,8,6] => [2,3,4,5,7,8,9,1,6] => 00000001
[2,3,4,6,7,8,9,1,5] => [9,2,3,4,1,6,7,8,5] => [2,3,4,6,7,8,9,1,5] => 00000001
[2,3,5,6,7,8,9,1,4] => [9,2,3,1,5,6,7,8,4] => [2,3,5,6,7,8,9,1,4] => 00000001
[2,4,5,6,7,8,9,1,3] => [9,2,1,4,5,6,7,8,3] => [2,4,5,6,7,8,9,1,3] => 00000001
[3,4,5,6,7,8,9,1,2] => [9,1,3,4,5,6,7,8,2] => [3,4,5,6,7,8,9,1,2] => 00000001
[2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,10,1] => 000000001
[2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => [2,3,4,5,6,7,8,9,1,10] => 000000010
[2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => [2,3,4,5,6,7,1,8,9] => 00000100
[2,3,4,5,6,7,8,10,1,9] => [10,2,3,4,5,6,7,8,1,9] => [2,3,4,5,6,7,8,10,1,9] => 000000001
[2,3,4,5,6,1,9,7,8] => [6,2,3,4,5,1,9,7,8] => [2,3,4,5,6,1,9,7,8] => 00001001
[2,3,4,5,6,7,9,10,1,8] => [10,2,3,4,5,6,7,1,9,8] => [2,3,4,5,6,7,9,10,1,8] => 000000001
[2,3,4,5,1,8,9,6,7] => [5,2,3,4,1,9,6,8,7] => [2,3,4,5,1,8,9,6,7] => 00010001
[2,3,4,5,6,8,9,10,1,7] => [10,2,3,4,5,6,1,8,9,7] => [2,3,4,5,6,8,9,10,1,7] => 000000001
[2,3,4,1,7,8,9,5,6] => [4,2,3,1,9,5,7,8,6] => [2,3,4,1,7,8,9,5,6] => 00100001
[2,3,4,5,7,8,9,10,1,6] => [10,2,3,4,5,1,7,8,9,6] => [2,3,4,5,7,8,9,10,1,6] => 000000001
[2,3,1,6,7,8,9,4,5] => [3,2,1,9,4,6,7,8,5] => [2,3,1,6,7,8,9,4,5] => 01000001
[2,3,4,6,7,8,9,10,1,5] => [10,2,3,4,1,6,7,8,9,5] => [2,3,4,6,7,8,9,10,1,5] => 000000001
[2,1,5,6,7,8,9,3,4] => [2,1,9,3,5,6,7,8,4] => [2,1,5,6,7,8,9,3,4] => 10000001
[2,3,5,6,7,8,9,10,1,4] => [10,2,3,1,5,6,7,8,9,4] => [2,3,5,6,7,8,9,10,1,4] => 000000001
[1,4,5,6,7,8,9,2,3] => [1,9,2,4,5,6,7,8,3] => [1,4,5,6,7,8,9,2,3] => 00000001
[2,4,5,6,7,8,9,10,1,3] => [10,2,1,4,5,6,7,8,9,3] => [2,4,5,6,7,8,9,10,1,3] => 000000001
[3,4,5,6,7,8,9,10,1,2] => [10,1,3,4,5,6,7,8,9,2] => [3,4,5,6,7,8,9,10,1,2] => 000000001
[3,6,4,5,7,2,8,1] => [8,7,3,6,4,5,2,1] => [3,6,4,5,7,2,8,1] => 0000111
[7,5,3,6,2,4,8,1] => [8,6,5,2,7,3,4,1] => [7,5,2,6,3,4,8,1] => 0001111
[6,3,2,5,1,8,4,7] => [5,3,6,8,2,1,4,7] => [8,3,2,6,1,5,4,7] => 0101101
[8,5,3,6,2,7,1,4] => [7,6,5,1,8,3,2,4] => [8,5,1,6,3,7,2,4] => 0001111
[8,2,6,3,4,7,1,5] => [7,8,6,3,1,2,4,5] => [6,3,8,1,7,2,4,5] => 0000111
[4,2,5,7,3,6,8,1] => [8,4,7,2,5,3,6,1] => [5,7,2,4,3,6,8,1] => 0010011
[5,4,7,6,2,3,8,1] => [8,6,2,5,4,7,3,1] => [5,4,7,6,2,3,8,1] => 0001111
[3,7,6,2,4,5,8,1] => [8,6,3,2,4,7,5,1] => [3,7,6,2,4,5,8,1] => 0000111
[2,7,6,3,4,5,8,1] => [8,2,6,3,4,7,5,1] => [2,7,6,3,4,5,8,1] => 0000111
[5,7,3,1,2,8,4,6] => [3,1,7,8,5,4,2,6] => [5,8,4,7,3,1,2,6] => 0100011
[5,6,2,3,1,8,4,7] => [3,6,2,8,5,1,4,7] => [5,8,2,3,1,6,4,7] => 0100101
[4,2,6,5,1,8,3,7] => [5,4,6,2,8,3,1,7] => [8,2,4,3,6,5,1,7] => 0011101
[5,4,8,6,2,7,1,3] => [7,6,1,5,4,8,2,3] => [5,4,8,6,1,7,2,3] => 0001111
[6,8,3,5,2,7,1,4] => [7,5,8,1,3,6,2,4] => [6,8,1,5,3,7,2,4] => 0001011
[1,8,6,3,7,2,4,5] => [1,7,6,2,4,8,3,5] => [1,8,6,2,4,7,3,5] => 0000111
[1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => [1,7,3,4,5,8,2,6] => 0000011
[2,8,1,7,3,4,5,6] => [8,2,7,3,4,5,1,6] => [2,7,3,4,5,8,1,6] => 0000011
[4,8,1,5,7,2,3,6] => [8,7,2,4,1,3,5,6] => [4,7,2,8,1,3,5,6] => 0000011
[1,7,3,8,2,4,5,6] => [1,8,7,2,4,5,3,6] => [1,7,2,4,5,8,3,6] => 0000011
[8,1,2,7,3,4,5,6] => [8,1,7,3,4,5,2,6] => [7,3,4,5,8,1,2,6] => 0000011
[6,3,7,1,2,8,4,5] => [7,1,6,8,4,3,2,5] => [8,4,6,3,7,1,2,5] => 0000111
[7,2,6,1,8,3,4,5] => [6,7,8,3,4,2,1,5] => [8,3,4,7,2,6,1,5] => 0000111
[7,3,1,5,8,2,4,6] => [3,7,8,1,2,4,5,6] => [8,1,7,3,2,4,5,6] => 0100011
[3,2,1,5,8,4,6,7] => [2,3,1,8,5,4,6,7] => [3,2,1,5,8,4,6,7] => 1100001
[1,5,3,4,6,8,2,7] => [1,8,5,3,4,6,2,7] => [1,5,3,4,6,8,2,7] => 0001001
[5,4,6,3,8,7,1,2] => [7,1,6,5,4,3,8,2] => [5,4,6,3,8,7,1,2] => 0001111
[3,6,4,5,8,7,1,2] => [7,1,3,6,4,5,8,2] => [3,6,4,5,8,7,1,2] => 0000111
[6,5,3,4,8,7,1,2] => [7,1,5,3,6,4,8,2] => [6,5,3,4,8,7,1,2] => 0001111
[5,3,2,8,7,1,4,6] => [7,3,5,1,2,4,8,6] => [5,3,1,8,7,2,4,6] => 0101011
[8,5,3,7,6,1,2,4] => [6,1,5,3,7,8,2,4] => [8,5,3,7,6,1,2,4] => 0001111
[7,6,8,2,3,5,1,4] => [5,8,2,1,3,7,6,4] => [7,6,8,2,5,1,3,4] => 0001011
[3,7,8,2,4,6,1,5] => [6,8,3,2,1,4,7,5] => [3,7,8,2,6,1,4,5] => 0000101
[6,7,3,8,2,5,1,4] => [5,8,7,1,2,6,3,4] => [6,7,1,8,2,5,3,4] => 0001011
[5,4,7,8,2,6,1,3] => [6,8,1,5,4,2,7,3] => [5,4,7,8,1,6,2,3] => 0001101
[3,6,2,8,7,1,4,5] => [7,6,3,1,4,2,8,5] => [3,6,1,4,8,7,2,5] => 0000111
[3,7,8,1,6,2,4,5] => [8,6,3,2,4,1,7,5] => [3,6,2,4,7,8,1,5] => 0000101
[2,3,8,7,1,4,5,6] => [7,2,3,1,4,5,8,6] => [2,3,8,7,1,4,5,6] => 0000011
[7,2,8,6,1,3,4,5] => [6,8,2,3,4,7,1,5] => [7,2,3,4,8,6,1,5] => 0000111
[2,1,8,7,3,4,5,6] => [2,1,7,3,4,5,8,6] => [2,1,8,7,3,4,5,6] => 1000011
[8,2,7,6,1,3,4,5] => [6,7,2,3,4,8,1,5] => [8,2,3,4,7,6,1,5] => 0000111
[1,2,8,7,3,4,5,6] => [1,2,7,3,4,5,8,6] => [1,2,8,7,3,4,5,6] => 0000011
[1,3,8,7,2,4,5,6] => [1,7,3,2,4,5,8,6] => [1,3,8,7,2,4,5,6] => 0000011
[1,7,8,3,6,2,4,5] => [1,6,8,2,4,3,7,5] => [1,7,8,2,4,6,3,5] => 0000101
[4,1,5,8,7,2,3,6] => [4,7,2,1,5,3,8,6] => [5,8,7,2,4,1,3,6] => 0010011
[5,4,8,7,6,1,2,3] => [6,1,2,5,4,7,8,3] => [5,4,8,7,6,1,2,3] => 0001111
[6,8,3,7,5,1,2,4] => [5,1,7,3,8,6,2,4] => [6,8,3,7,5,1,2,4] => 0001011
[7,8,6,2,5,1,3,4] => [5,6,1,3,2,8,7,4] => [7,8,6,1,3,5,2,4] => 0001101
[8,1,6,7,3,2,5,4] => [8,3,7,5,2,1,6,4] => [5,3,2,7,1,6,8,4] => 0101011
[8,1,6,7,3,2,4,5] => [8,3,7,2,4,1,6,5] => [7,3,2,4,6,8,1,5] => 0100011
[8,1,5,3,6,2,4,7] => [8,6,5,2,1,3,4,7] => [5,2,6,1,8,3,4,7] => 0001101
[8,1,4,3,2,6,5,7] => [8,3,4,1,6,2,5,7] => [4,3,1,6,2,8,5,7] => 0110101
[8,1,4,3,2,7,6,5] => [8,3,4,1,6,7,2,5] => [4,3,1,7,6,2,8,5] => 0110111
[8,1,5,4,6,7,2,3] => [8,7,2,5,1,4,6,3] => [5,2,7,4,6,8,1,3] => 0001011
[8,1,5,3,6,2,7,4] => [8,6,5,7,1,3,2,4] => [7,1,5,3,6,2,8,4] => 0001111
[8,1,4,3,2,5,7,6] => [8,3,4,1,2,7,5,6] => [4,3,1,7,2,5,8,6] => 0110011
[8,1,4,3,2,5,6,7] => [8,3,4,1,2,5,6,7] => [4,3,1,8,2,5,6,7] => 0110001
[7,4,8,3,2,5,6,1] => [6,3,8,7,2,5,4,1] => [7,3,2,5,8,4,6,1] => 0100111
[6,4,3,1,2,5,8,7] => [3,1,4,6,2,5,8,7] => [6,4,3,1,2,5,8,7] => 0110101
[7,4,8,3,2,5,1,6] => [5,3,8,7,2,1,4,6] => [7,3,2,8,1,5,4,6] => 0101011
[6,4,3,8,2,5,1,7] => [5,8,4,6,2,3,1,7] => [6,4,2,8,3,5,1,7] => 0011101
[6,4,3,7,2,5,8,1] => [8,7,4,6,2,3,5,1] => [6,4,2,7,3,5,8,1] => 0010111
[6,5,3,8,7,2,1,4] => [2,7,5,1,6,3,8,4] => [6,5,2,1,8,7,3,4] => 1001111
[6,5,4,1,7,8,2,3] => [4,5,2,6,8,1,7,3] => [7,8,2,6,5,4,1,3] => 0011101
[6,5,3,1,7,2,8,4] => [3,5,6,7,8,1,4,2] => [8,1,7,4,6,5,3,2] => 0101111
[6,4,3,1,2,7,8,5] => [3,1,4,6,8,2,7,5] => [7,8,4,3,1,2,6,5] => 0110101
[5,4,3,2,1,8,6,7] => [2,3,4,5,1,8,6,7] => [5,4,3,2,1,8,6,7] => 1111001
[6,5,3,1,8,2,7,4] => [3,5,6,8,7,1,4,2] => [7,1,8,4,6,5,3,2] => 0101111
[6,5,4,1,8,7,2,3] => [4,5,2,6,7,1,8,3] => [8,7,2,6,5,4,1,3] => 0011111
[7,4,1,3,2,8,6,5] => [4,3,1,7,6,8,2,5] => [3,1,8,6,4,2,7,5] => 0110111
[7,4,1,3,2,8,5,6] => [4,3,1,7,8,5,2,6] => [3,1,8,5,7,4,2,6] => 0110011
[6,4,3,1,2,8,5,7] => [3,1,4,6,8,2,5,7] => [8,4,3,1,2,6,5,7] => 0110101
[6,4,3,8,2,7,5,1] => [5,7,4,8,6,1,3,2] => [6,4,1,8,3,7,5,2] => 0011111
[6,5,3,8,7,2,4,1] => [4,7,5,2,6,3,8,1] => [6,5,2,8,7,3,4,1] => 0011111
[6,5,3,1,7,2,4,8] => [3,5,6,2,7,1,4,8] => [7,2,6,5,3,1,4,8] => 0101110
[7,6,1,8,3,2,4,5] => [6,3,7,1,4,8,2,5] => [8,3,1,4,7,6,2,5] => 0100111
[7,6,1,8,4,5,2,3] => [6,5,2,7,1,8,4,3] => [8,2,5,4,7,6,1,3] => 0001111
[7,6,8,1,4,5,2,3] => [8,5,2,1,4,7,6,3] => [5,2,4,7,6,8,1,3] => 0001011
[7,6,8,1,3,2,5,4] => [8,3,1,5,2,7,6,4] => [3,1,5,2,7,6,8,4] => 0101011
[7,4,8,3,2,1,6,5] => [2,3,8,7,6,1,4,5] => [6,3,2,1,7,4,8,5] => 1100111
[5,4,3,2,8,1,7,6] => [8,3,4,5,2,7,1,6] => [5,4,3,2,7,1,8,6] => 0111011
[6,5,4,7,1,8,2,3] => [7,8,2,5,6,4,1,3] => [6,5,4,8,2,7,1,3] => 0001111
[5,4,3,2,7,8,1,6] => [8,3,4,5,2,1,7,6] => [5,4,3,2,7,8,1,6] => 0111001
[5,6,2,1,3,4,8,7] => [2,6,1,3,5,4,8,7] => [5,6,2,1,3,4,8,7] => 1000101
[5,8,2,7,4,1,3,6] => [4,7,2,8,5,3,1,6] => [5,8,2,3,7,4,1,6] => 0010011
[2,1,7,8,4,3,5,6] => [2,1,4,8,3,5,7,6] => [2,1,7,8,4,3,5,6] => 1010001
[8,3,7,4,1,5,6,2] => [4,7,6,8,2,5,1,3] => [8,2,5,6,1,7,4,3] => 0010111
[2,6,8,3,1,4,7,5] => [3,2,8,1,7,6,4,5] => [2,6,7,3,1,4,8,5] => 0100011
[6,1,8,3,2,4,5,7] => [6,3,8,2,4,1,5,7] => [8,3,2,4,6,1,5,7] => 0100101
[8,4,1,3,7,6,2,5] => [4,8,2,6,1,7,3,5] => [7,6,2,8,4,1,3,5] => 0010111
[6,5,2,1,8,7,4,3] => [2,5,4,6,7,3,8,1] => [8,7,4,3,6,5,2,1] => 1011111
[3,4,7,1,8,2,6,5] => [7,8,3,4,6,2,1,5] => [3,4,6,2,8,1,7,5] => 0000111
[1,8,2,4,3,5,6,7] => [1,8,4,2,3,5,6,7] => [1,4,2,8,3,5,6,7] => 0010001
[1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => [1,4,2,7,3,5,6,8] => 0010010
[1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => [1,4,2,6,3,5,7,8] => 0010100
[1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => 0011000
[1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => [1,5,3,6,2,4,7,8] => 0001100
[1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => [1,5,3,7,2,4,6,8] => 0001010
[1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => [1,5,3,8,2,4,6,7] => 0001001
[1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => [1,5,3,7,4,8,2,6] => 0001011
[1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => [1,5,3,8,4,7,2,6] => 0001011
[1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => [1,5,3,8,2,6,4,7] => 0001101
[1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => [1,6,2,8,3,5,4,7] => 0001101
[1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => [1,6,2,4,3,8,5,7] => 0010101
[1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => [1,3,2,6,4,8,5,7] => 0100101
[1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => [1,2,3,6,4,8,5,7] => 0000101
[1,2,3,7,4,6,5,8] => [1,2,3,7,6,4,5,8] => [1,2,3,6,4,7,5,8] => 0000110
[1,3,2,7,4,6,5,8] => [1,3,2,7,6,4,5,8] => [1,3,2,6,4,7,5,8] => 0100110
[1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => [1,6,2,4,3,7,5,8] => 0010110
[1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => [1,6,2,7,3,5,4,8] => 0001110
[1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => [1,5,3,7,2,6,4,8] => 0001110
[1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => [1,5,3,6,2,7,4,8] => 0001110
[1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => [1,6,2,5,3,8,4,7] => 0001101
[1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => [1,6,2,5,3,7,4,8] => 0001110
[1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => [1,7,2,5,3,6,4,8] => 0001110
[1,5,2,4,3,7,6,8] => [1,5,4,2,3,7,6,8] => [1,4,2,5,3,7,6,8] => 0011010
[1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => [1,4,2,7,3,6,5,8] => 0010110
[1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => [1,4,2,6,3,7,5,8] => 0010110
[1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => [1,4,2,6,3,8,5,7] => 0010101
[1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => [1,6,2,3,4,8,5,7] => 0000101
[1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => [1,6,2,3,4,7,5,8] => 0000110
[1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => [1,7,5,8,2,3,4,6] => 0000011
[1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => [1,4,2,7,5,8,3,6] => 0010011
[1,7,2,4,3,8,5,6] => [1,7,4,2,8,5,3,6] => [1,4,2,8,5,7,3,6] => 0010011
[1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => [1,4,2,8,3,6,5,7] => 0010101
[1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => [1,4,2,5,3,8,6,7] => 0011001
[1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => [1,8,2,5,3,6,4,7] => 0001101
[1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => [1,8,2,5,4,7,3,6] => 0001011
[1,8,2,5,3,7,4,6] => [1,8,5,7,2,4,3,6] => [1,7,2,5,4,8,3,6] => 0001011
[1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => [1,7,4,6,2,8,3,5] => 0000111
[1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => [1,8,4,6,2,7,3,5] => 0000111
[1,2,3,8,4,7,5,6] => [1,2,3,8,7,5,4,6] => [1,2,3,7,5,8,4,6] => 0000011
[1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => [1,3,2,7,5,8,4,6] => 0100011
[1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => [1,7,5,8,2,4,3,6] => 0010011
[1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => [1,7,2,8,4,5,3,6] => 0001011
[1,8,2,7,3,6,4,5] => [1,8,7,6,4,3,2,5] => [1,6,4,7,3,8,2,5] => 0000111
[4,6,3,7,2,5,1,8] => [5,7,6,4,2,3,1,8] => [4,6,2,7,3,5,1,8] => 0001110
[4,6,3,7,5,2,1,8] => [2,5,7,4,6,1,3,8] => [4,6,2,1,7,5,3,8] => 1001110
[4,6,3,8,5,1,2,7] => [5,1,8,4,6,2,3,7] => [4,6,1,2,8,5,3,7] => 0001101
[5,6,8,3,4,1,2,7] => [4,1,8,3,5,6,2,7] => [5,6,8,3,4,1,2,7] => 0010001
[5,6,8,3,4,1,7,2] => [4,7,8,3,5,6,1,2] => [5,6,8,3,7,1,4,2] => 0010011
[4,6,2,7,5,3,1,8] => [3,5,7,4,6,2,1,8] => [4,6,2,7,5,3,1,8] => 0101110
[5,6,8,4,3,1,7,2] => [3,4,8,7,5,6,1,2] => [5,6,7,1,8,4,3,2] => 0110011
[5,6,8,4,3,1,2,7] => [3,1,4,8,5,6,2,7] => [5,6,8,4,3,1,2,7] => 0110001
[5,7,8,4,1,6,2,3] => [4,8,1,6,5,2,7,3] => [5,6,1,7,8,4,2,3] => 0010101
[5,7,8,4,1,6,3,2] => [4,3,8,6,5,2,7,1] => [5,6,3,2,7,8,4,1] => 0110101
[5,6,8,4,2,1,7,3] => [2,4,8,7,5,6,3,1] => [5,6,7,3,8,4,2,1] => 1010011
[3,2,6,8,5,1,7,4] => [5,3,2,8,7,6,4,1] => [3,2,6,7,4,8,5,1] => 0101011
[3,2,6,8,5,1,4,7] => [5,3,2,1,8,6,4,7] => [3,2,6,8,5,1,4,7] => 0101001
[4,6,2,8,5,1,3,7] => [5,8,2,4,6,1,3,7] => [4,6,2,8,5,1,3,7] => 0001101
[5,6,8,2,4,1,3,7] => [4,8,1,2,5,6,3,7] => [5,6,8,1,4,2,3,7] => 0010001
[5,6,8,4,2,1,3,7] => [2,4,1,8,5,6,3,7] => [5,6,8,4,2,1,3,7] => 1010001
[5,7,8,4,1,3,2,6] => [4,3,1,8,5,2,7,6] => [3,1,5,7,8,4,2,6] => 0110001
[5,7,8,4,1,2,3,6] => [4,1,2,8,5,3,7,6] => [5,7,8,4,1,2,3,6] => 0010001
[6,7,8,1,5,2,3,4] => [8,5,2,3,1,6,7,4] => [5,2,3,6,7,8,1,4] => 0001001
[6,7,8,1,5,2,4,3] => [8,5,4,2,1,6,7,3] => [4,2,5,1,6,7,8,3] => 0011001
[6,7,8,1,3,5,2,4] => [8,5,1,2,3,6,7,4] => [5,1,6,7,8,2,3,4] => 0001001
[5,7,8,2,1,6,3,4] => [2,8,6,3,5,1,7,4] => [5,6,3,7,8,2,1,4] => 1000101
[4,7,2,8,1,6,3,5] => [8,7,6,4,3,1,2,5] => [4,6,3,7,1,8,2,5] => 0000111
[3,2,7,8,1,6,4,5] => [8,3,2,6,4,1,7,5] => [3,2,6,4,7,8,1,5] => 0100101
[3,2,7,8,1,6,5,4] => [8,3,2,5,6,1,7,4] => [3,2,6,5,1,7,8,4] => 0101101
[6,7,8,1,3,5,4,2] => [8,4,1,5,3,6,7,2] => [5,4,1,3,6,7,8,2] => 0011001
[6,7,8,1,5,3,4,2] => [8,4,5,3,1,6,7,2] => [5,3,4,1,6,7,8,2] => 0011001
[6,7,8,1,5,4,3,2] => [8,3,4,5,1,6,7,2] => [5,4,3,1,6,7,8,2] => 0111001
[6,7,8,1,5,4,2,3] => [8,4,2,5,1,6,7,3] => [5,4,2,6,7,8,1,3] => 0011001
[6,7,8,1,4,5,3,2] => [8,3,5,1,4,6,7,2] => [5,3,1,4,6,7,8,2] => 0101001
[6,7,8,1,4,3,5,2] => [8,5,4,1,3,6,7,2] => [4,1,5,3,6,7,8,2] => 0011001
[6,7,8,1,3,4,5,2] => [8,5,1,3,4,6,7,2] => [5,1,3,4,6,7,8,2] => 0001001
[5,7,8,2,1,4,6,3] => [2,8,6,1,5,4,7,3] => [5,6,2,1,4,7,8,3] => 1000101
[4,7,2,8,1,5,6,3] => [8,7,6,4,1,5,2,3] => [4,6,1,5,7,2,8,3] => 0000111
[3,2,7,8,1,5,6,4] => [8,3,2,6,1,5,7,4] => [3,2,6,1,5,7,8,4] => 0100101
[3,2,6,8,4,1,7,5] => [4,3,2,8,7,6,1,5] => [3,2,6,7,4,1,8,5] => 0110011
[4,6,2,8,3,1,7,5] => [3,8,6,4,7,1,2,5] => [4,7,1,6,3,2,8,5] => 0100111
[5,6,8,3,2,1,7,4] => [2,3,8,7,5,6,1,4] => [5,6,7,3,2,1,8,4] => 1100011
[5,7,8,3,1,4,6,2] => [3,8,6,2,5,4,7,1] => [5,6,2,4,7,8,3,1] => 0100101
[4,7,3,8,1,6,2,5] => [8,6,7,4,2,1,3,5] => [4,7,2,6,1,8,3,5] => 0000111
[4,7,3,8,1,6,5,2] => [8,5,6,4,7,1,2,3] => [4,7,1,6,5,2,8,3] => 0001111
[4,6,3,8,2,1,7,5] => [2,8,6,4,7,3,1,5] => [4,7,3,6,2,1,8,5] => 1000111
[4,5,3,2,8,1,7,6] => [8,3,5,4,2,7,1,6] => [4,5,3,2,7,1,8,6] => 0101011
[4,5,2,3,8,1,7,6] => [8,5,2,4,3,7,1,6] => [4,5,2,3,7,1,8,6] => 0001011
[3,2,5,4,8,1,7,6] => [8,3,2,5,4,7,1,6] => [3,2,5,4,7,1,8,6] => 0101011
[4,5,3,2,8,1,6,7] => [8,3,5,4,2,1,6,7] => [4,5,3,2,8,1,6,7] => 0101001
[4,6,3,8,2,1,5,7] => [2,8,6,4,1,3,5,7] => [4,6,2,1,8,3,5,7] => 1000101
[4,7,3,8,1,5,2,6] => [8,5,7,4,1,2,3,6] => [4,7,1,5,2,8,3,6] => 0001011
[5,7,8,3,1,2,4,6] => [3,1,8,2,5,4,7,6] => [5,7,8,3,1,2,4,6] => 0100001
[5,7,8,3,1,2,6,4] => [3,1,8,6,5,2,7,4] => [5,6,3,1,2,7,8,4] => 0100101
[5,6,8,3,2,1,4,7] => [2,3,8,1,5,6,4,7] => [5,6,8,3,2,1,4,7] => 1100001
[3,2,7,8,1,5,4,6] => [8,3,2,5,1,4,7,6] => [3,2,5,1,7,8,4,6] => 0101001
[5,7,8,2,1,4,3,6] => [2,8,4,1,5,3,7,6] => [4,2,1,5,7,8,3,6] => 1010001
[6,7,8,1,3,4,2,5] => [8,4,1,3,2,6,7,5] => [4,1,3,6,7,8,2,5] => 0010001
[6,7,8,1,4,3,2,5] => [8,3,4,1,2,6,7,5] => [4,3,1,6,7,8,2,5] => 0110001
[6,7,8,1,4,2,5,3] => [8,4,5,1,2,6,7,3] => [5,1,4,2,6,7,8,3] => 0011001
[6,7,8,1,4,2,3,5] => [8,4,2,1,3,6,7,5] => [4,2,6,7,8,1,3,5] => 0010001
[6,7,8,1,2,5,4,3] => [8,1,4,5,2,6,7,3] => [5,4,1,2,6,7,8,3] => 0011001
[6,7,8,1,2,4,5,3] => [8,1,5,2,4,6,7,3] => [5,1,2,4,6,7,8,3] => 0001001
[6,7,8,1,3,2,5,4] => [8,3,1,5,2,6,7,4] => [3,1,5,2,6,7,8,4] => 0101001
[3,2,7,8,1,4,6,5] => [8,3,2,1,6,4,7,5] => [3,2,6,1,4,7,8,5] => 0100101
[6,7,8,1,2,3,5,4] => [8,1,2,5,3,6,7,4] => [5,1,2,3,6,7,8,4] => 0001001
[7,2,8,5,1,6,4,3] => [5,8,4,7,6,2,3,1] => [6,4,2,7,3,8,5,1] => 0011111
[1,3,7,5,2,6,4,8] => [1,5,3,7,6,4,2,8] => [1,3,6,4,7,5,2,8] => 0001110
[2,8,4,5,6,1,7,3] => [6,2,7,8,4,5,1,3] => [2,8,4,5,7,1,6,3] => 0000111
[2,8,4,5,3,7,1,6] => [7,2,5,8,4,1,3,6] => [2,8,4,5,1,7,3,6] => 0001011
[1,6,3,7,5,2,4,8] => [1,5,7,3,6,2,4,8] => [1,6,3,7,5,2,4,8] => 0001110
[6,2,3,8,5,1,7,4] => [5,8,1,6,7,4,2,3] => [7,4,6,1,8,5,2,3] => 0001111
[6,3,2,8,5,1,4,7] => [5,3,8,2,6,1,4,7] => [6,3,2,8,5,1,4,7] => 0101101
[7,4,8,5,2,1,3,6] => [2,5,1,8,7,4,3,6] => [7,4,8,5,2,1,3,6] => 1001011
[6,4,8,5,1,3,7,2] => [5,8,2,7,6,1,3,4] => [6,2,7,1,3,8,5,4] => 0001111
[3,4,1,2,7,6,8,5] => [4,1,3,2,8,7,6,5] => [3,4,1,2,7,6,8,5] => 0010011
[3,6,5,7,1,4,8,2] => [7,8,3,1,6,5,4,2] => [3,6,5,8,1,4,7,2] => 0000111
[6,5,2,7,4,1,8,3] => [4,7,5,6,8,1,2,3] => [8,1,6,5,2,7,4,3] => 0011111
[5,3,1,8,6,4,7,2] => [3,5,7,6,2,8,4,1] => [8,6,2,7,4,5,3,1] => 0101111
[5,6,1,8,7,2,4,3] => [6,7,4,2,5,1,8,3] => [4,2,5,8,7,1,6,3] => 0010111
[6,5,8,4,2,3,7,1] => [7,4,2,8,6,5,3,1] => [6,5,8,4,2,3,7,1] => 0010111
[1,6,5,7,3,4,2,8] => [1,4,7,3,6,5,2,8] => [1,6,5,7,3,4,2,8] => 0010110
[5,2,1,8,7,6,3,4] => [2,5,6,3,1,7,8,4] => [8,7,6,3,5,2,1,4] => 1001111
[2,3,4,8,6,1,7,5] => [6,2,3,4,8,7,5,1] => [2,3,4,7,5,8,6,1] => 0000111
[2,3,4,8,6,5,1,7] => [5,2,3,4,6,8,1,7] => [2,3,4,8,6,5,1,7] => 0001101
[2,7,3,5,8,6,1,4] => [6,2,8,3,1,7,5,4] => [2,7,3,5,8,6,1,4] => 0000111
[3,2,4,7,8,6,1,5] => [6,3,2,4,1,8,7,5] => [3,2,4,7,8,6,1,5] => 0100101
[5,3,6,4,1,8,7,2] => [4,6,7,5,1,2,8,3] => [5,1,8,7,2,6,4,3] => 0011111
[5,3,6,1,4,8,2,7] => [6,8,5,1,3,4,2,7] => [5,1,8,3,4,6,2,7] => 0001101
[2,7,6,5,8,3,4,1] => [4,2,8,3,6,7,5,1] => [2,7,6,5,8,3,4,1] => 0010111
[3,2,4,1,7,8,5,6] => [4,3,2,1,8,5,7,6] => [3,2,4,1,7,8,5,6] => 0110001
[6,3,4,5,7,1,8,2] => [7,8,6,3,4,5,1,2] => [6,3,4,5,8,1,7,2] => 0000111
[2,5,4,6,1,7,8,3] => [6,2,8,5,4,1,7,3] => [2,5,4,7,8,1,6,3] => 0001101
[7,2,1,4,3,6,5,8] => [2,7,4,1,6,3,5,8] => [4,2,1,6,3,7,5,8] => 1010110
[7,3,4,1,2,6,5,8] => [4,1,7,3,6,2,5,8] => [6,3,4,1,2,7,5,8] => 0010110
[7,4,3,2,1,6,5,8] => [2,3,4,7,6,1,5,8] => [6,4,3,2,1,7,5,8] => 1110110
[6,7,3,2,5,4,8,1] => [8,3,7,5,2,6,4,1] => [5,3,2,6,7,4,8,1] => 0101011
[1,8,3,2,5,4,7,6] => [1,3,8,5,2,7,4,6] => [1,5,3,2,7,4,8,6] => 0101011
[1,8,4,5,2,3,7,6] => [1,5,2,8,4,7,3,6] => [1,7,4,5,2,3,8,6] => 0001011
[7,3,5,1,6,2,4,8] => [5,6,7,2,3,1,4,8] => [7,2,6,3,5,1,4,8] => 0001110
[1,8,5,4,3,2,7,6] => [1,3,4,5,8,7,2,6] => [1,7,5,4,3,2,8,6] => 0111011
[1,8,6,4,3,7,2,5] => [1,7,4,6,2,8,3,5] => [1,8,6,4,2,7,3,5] => 0010111
[6,5,7,4,3,1,8,2] => [3,4,7,8,6,5,1,2] => [6,5,8,1,7,4,3,2] => 0110111
[6,4,7,5,1,3,8,2] => [5,7,2,8,6,1,3,4] => [6,2,8,1,3,7,5,4] => 0001111
[1,8,7,5,6,3,4,2] => [1,4,6,3,7,5,8,2] => [1,8,7,5,6,3,4,2] => 0010111
[2,7,8,5,6,3,4,1] => [4,2,6,3,8,5,7,1] => [2,7,8,5,6,3,4,1] => 0010101
[2,6,8,5,7,3,1,4] => [3,2,7,1,8,6,5,4] => [2,6,8,5,7,3,1,4] => 0100011
[2,5,8,6,7,1,3,4] => [7,2,1,3,5,8,6,4] => [2,5,8,6,7,1,3,4] => 0000011
[3,2,1,8,6,7,4,5] => [2,3,1,7,4,8,6,5] => [3,2,1,8,6,7,4,5] => 1100011
[5,3,7,1,6,8,4,2] => [7,4,8,5,2,1,6,3] => [5,2,8,4,1,6,7,3] => 0011011
[4,6,7,5,8,3,1,2] => [3,1,8,4,7,6,5,2] => [4,6,7,5,8,3,1,2] => 0100011
[1,8,6,5,7,3,2,4] => [1,3,7,2,6,8,5,4] => [1,8,6,5,7,3,2,4] => 0100111
[5,4,6,7,1,8,2,3] => [7,8,2,5,4,6,1,3] => [5,4,6,8,2,7,1,3] => 0001011
[5,3,6,1,7,8,2,4] => [6,8,5,2,3,1,7,4] => [5,2,7,8,3,6,1,4] => 0001101
[5,2,1,6,7,8,3,4] => [2,5,8,3,1,6,7,4] => [6,7,8,3,5,2,1,4] => 1001001
[6,4,5,7,1,2,8,3] => [7,1,8,6,4,5,2,3] => [6,4,5,8,1,2,7,3] => 0000111
[1,8,4,6,2,7,3,5] => [1,6,7,8,3,4,2,5] => [1,8,3,7,4,6,2,5] => 0000111
[1,8,3,2,6,7,4,5] => [1,3,8,7,4,2,6,5] => [1,7,4,6,8,3,2,5] => 0100011
[5,7,3,2,6,8,4,1] => [4,3,8,7,5,1,6,2] => [5,7,3,1,6,8,4,2] => 0110011
[6,5,3,2,7,1,8,4] => [7,3,5,6,8,4,1,2] => [8,4,6,5,3,1,7,2] => 0101111
[6,4,3,2,1,7,8,5] => [2,3,4,6,8,1,7,5] => [7,8,4,3,2,1,6,5] => 1110101
[6,2,1,4,3,7,8,5] => [2,6,4,1,8,3,7,5] => [4,2,1,7,8,3,6,5] => 1010101
[5,3,4,1,2,8,7,6] => [4,1,5,3,2,7,8,6] => [5,3,4,1,2,8,7,6] => 0011011
[4,7,3,2,8,6,5,1] => [5,3,6,4,8,7,2,1] => [4,7,3,2,8,6,5,1] => 0101111
[1,8,3,2,7,6,5,4] => [1,3,8,5,6,7,2,4] => [1,7,6,5,3,2,8,4] => 0101111
[3,7,4,8,2,6,5,1] => [5,6,3,8,7,4,1,2] => [3,7,4,8,1,6,5,2] => 0001111
[3,6,4,8,2,7,1,5] => [7,8,3,6,1,4,2,5] => [3,6,1,8,4,7,2,5] => 0000111
[4,3,5,1,8,2,7,6] => [5,8,4,3,1,7,2,6] => [4,3,7,1,5,2,8,6] => 0011011
[4,2,1,5,8,3,7,6] => [2,4,8,1,5,7,3,6] => [5,7,2,1,4,3,8,6] => 1010011
[4,2,1,6,8,7,3,5] => [2,4,7,1,3,6,8,5] => [6,8,7,2,1,4,3,5] => 1010011
[4,3,6,1,8,7,2,5] => [6,7,4,3,2,1,8,5] => [4,3,8,7,2,6,1,5] => 0010111
[3,5,6,8,7,1,2,4] => [7,1,3,2,5,6,8,4] => [3,5,6,8,7,1,2,4] => 0000011
[3,7,5,8,6,2,4,1] => [4,6,3,2,8,7,1,5] => [3,7,2,4,1,8,6,5] => 0010111
[1,8,5,7,6,2,4,3] => [1,6,4,2,7,8,3,5] => [1,4,2,8,3,7,6,5] => 0010111
[3,6,7,8,5,4,1,2] => [4,1,3,5,8,6,7,2] => [3,6,7,8,5,4,1,2] => 0011001
[4,2,1,7,8,6,5,3] => [2,4,5,1,6,8,7,3] => [7,8,6,5,2,1,4,3] => 1011101
[2,3,8,1,7,6,5,4] => [8,2,3,5,6,7,1,4] => [2,3,7,6,5,1,8,4] => 0001111
[2,4,8,7,1,6,5,3] => [7,2,5,4,6,1,8,3] => [2,4,6,5,1,8,7,3] => 0001111
[2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => 10101010101
[2,1,4,3,6,5,8,7,12,11,10,9] => [2,1,4,3,6,5,8,7,10,11,12,9] => [2,1,4,3,6,5,8,7,12,11,10,9] => 10101010111
[2,1,4,3,6,5,10,9,8,7,12,11] => [2,1,4,3,6,5,8,9,10,7,12,11] => [2,1,4,3,6,5,10,9,8,7,12,11] => 10101011101
[2,1,4,3,6,5,12,11,10,9,8,7] => [2,1,4,3,6,5,8,9,10,11,12,7] => [2,1,4,3,6,5,12,11,10,9,8,7] => 10101011111
[2,1,4,3,8,7,6,5,10,9,12,11] => [2,1,4,3,6,7,8,5,10,9,12,11] => [2,1,4,3,8,7,6,5,10,9,12,11] => 10101110101
[2,1,4,3,8,7,6,5,12,11,10,9] => [2,1,4,3,6,7,8,5,10,11,12,9] => [2,1,4,3,8,7,6,5,12,11,10,9] => 10101110111
[2,1,4,3,10,9,8,7,6,5,12,11] => [2,1,4,3,6,7,8,9,10,5,12,11] => [2,1,4,3,10,9,8,7,6,5,12,11] => 10101111101
[2,1,4,3,12,11,10,9,8,7,6,5] => [2,1,4,3,6,7,8,9,10,11,12,5] => [2,1,4,3,12,11,10,9,8,7,6,5] => 10101111111
[2,1,6,5,4,3,8,7,10,9,12,11] => [2,1,4,5,6,3,8,7,10,9,12,11] => [2,1,6,5,4,3,8,7,10,9,12,11] => 10111010101
[2,1,6,5,4,3,8,7,12,11,10,9] => [2,1,4,5,6,3,8,7,10,11,12,9] => [2,1,6,5,4,3,8,7,12,11,10,9] => 10111010111
[2,1,6,5,4,3,10,9,8,7,12,11] => [2,1,4,5,6,3,8,9,10,7,12,11] => [2,1,6,5,4,3,10,9,8,7,12,11] => 10111011101
[2,1,6,5,4,3,12,11,10,9,8,7] => [2,1,4,5,6,3,8,9,10,11,12,7] => [2,1,6,5,4,3,12,11,10,9,8,7] => 10111011111
[2,1,8,7,6,5,4,3,10,9,12,11] => [2,1,4,5,6,7,8,3,10,9,12,11] => [2,1,8,7,6,5,4,3,10,9,12,11] => 10111110101
[2,1,8,7,6,5,4,3,12,11,10,9] => [2,1,4,5,6,7,8,3,10,11,12,9] => [2,1,8,7,6,5,4,3,12,11,10,9] => 10111110111
[2,1,10,9,8,7,6,5,4,3,12,11] => [2,1,4,5,6,7,8,9,10,3,12,11] => [2,1,10,9,8,7,6,5,4,3,12,11] => 10111111101
[2,1,12,11,10,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,10,11,12,3] => [2,1,12,11,10,9,8,7,6,5,4,3] => 10111111111
[4,3,2,1,6,5,8,7,10,9,12,11] => [2,3,4,1,6,5,8,7,10,9,12,11] => [4,3,2,1,6,5,8,7,10,9,12,11] => 11101010101
[4,3,2,1,6,5,8,7,12,11,10,9] => [2,3,4,1,6,5,8,7,10,11,12,9] => [4,3,2,1,6,5,8,7,12,11,10,9] => 11101010111
[4,3,2,1,6,5,10,9,8,7,12,11] => [2,3,4,1,6,5,8,9,10,7,12,11] => [4,3,2,1,6,5,10,9,8,7,12,11] => 11101011101
[4,3,2,1,6,5,12,11,10,9,8,7] => [2,3,4,1,6,5,8,9,10,11,12,7] => [4,3,2,1,6,5,12,11,10,9,8,7] => 11101011111
[4,3,2,1,8,7,6,5,10,9,12,11] => [2,3,4,1,6,7,8,5,10,9,12,11] => [4,3,2,1,8,7,6,5,10,9,12,11] => 11101110101
[4,3,2,1,8,7,6,5,12,11,10,9] => [2,3,4,1,6,7,8,5,10,11,12,9] => [4,3,2,1,8,7,6,5,12,11,10,9] => 11101110111
[4,3,2,1,10,9,8,7,6,5,12,11] => [2,3,4,1,6,7,8,9,10,5,12,11] => [4,3,2,1,10,9,8,7,6,5,12,11] => 11101111101
[4,3,2,1,12,11,10,9,8,7,6,5] => [2,3,4,1,6,7,8,9,10,11,12,5] => [4,3,2,1,12,11,10,9,8,7,6,5] => 11101111111
[6,5,4,3,2,1,8,7,10,9,12,11] => [2,3,4,5,6,1,8,7,10,9,12,11] => [6,5,4,3,2,1,8,7,10,9,12,11] => 11111010101
[6,5,4,3,2,1,8,7,12,11,10,9] => [2,3,4,5,6,1,8,7,10,11,12,9] => [6,5,4,3,2,1,8,7,12,11,10,9] => 11111010111
[6,5,4,3,2,1,10,9,8,7,12,11] => [2,3,4,5,6,1,8,9,10,7,12,11] => [6,5,4,3,2,1,10,9,8,7,12,11] => 11111011101
[6,5,4,3,2,1,12,11,10,9,8,7] => [2,3,4,5,6,1,8,9,10,11,12,7] => [6,5,4,3,2,1,12,11,10,9,8,7] => 11111011111
[8,7,6,5,4,3,2,1,10,9,12,11] => [2,3,4,5,6,7,8,1,10,9,12,11] => [8,7,6,5,4,3,2,1,10,9,12,11] => 11111110101
[8,7,6,5,4,3,2,1,12,11,10,9] => [2,3,4,5,6,7,8,1,10,11,12,9] => [8,7,6,5,4,3,2,1,12,11,10,9] => 11111110111
[10,9,8,7,6,5,4,3,2,1,12,11] => [2,3,4,5,6,7,8,9,10,1,12,11] => [10,9,8,7,6,5,4,3,2,1,12,11] => 11111111101
[12,11,10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,11,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => 11111111111
[7,4,6,1,8,3,5,2] => [6,5,8,7,3,4,1,2] => [7,3,8,4,5,1,6,2] => 0001111
[8,3,5,1,7,4,6,2] => [5,6,8,7,3,4,1,2] => [7,3,8,4,6,1,5,2] => 0001111
[8,3,4,1,7,5,6,2] => [4,6,8,3,7,5,1,2] => [7,5,8,3,6,1,4,2] => 0010111
[4,6,2,1,7,5,8,3] => [2,6,8,4,7,1,5,3] => [4,7,2,1,8,5,6,3] => 1000111
[1,4,6,2,7,5,8,3] => [1,6,8,4,7,2,5,3] => [1,4,7,2,8,5,6,3] => 0000111
[1,7,5,2,6,8,4,3] => [1,5,4,7,8,3,6,2] => [1,8,4,3,6,7,5,2] => 0011011
[6,8,4,3,1,7,5,2] => [3,4,8,5,7,6,1,2] => [6,7,5,1,8,4,3,2] => 0111011
[3,6,8,4,1,7,5,2] => [4,8,3,5,7,6,2,1] => [3,6,7,5,2,8,4,1] => 0011011
[3,6,7,5,1,8,4,2] => [5,4,3,7,8,6,2,1] => [3,6,8,4,2,7,5,1] => 0011011
[7,5,6,1,8,3,4,2] => [6,4,8,3,7,5,1,2] => [7,5,8,3,4,1,6,2] => 0010111
[3,4,6,5,7,1,8,2] => [7,8,3,4,6,5,1,2] => [3,4,6,5,8,1,7,2] => 0000111
[4,7,5,6,1,8,3,2] => [6,3,8,4,7,5,1,2] => [4,7,5,8,3,1,6,2] => 0100111
[6,8,4,1,7,5,3,2] => [4,3,8,5,7,6,2,1] => [6,7,5,3,2,8,4,1] => 0111011
[6,7,5,3,1,8,4,2] => [3,5,4,7,8,6,1,2] => [6,8,4,1,7,5,3,2] => 0111011
[8,4,2,1,6,7,5,3] => [2,4,8,5,7,3,6,1] => [7,5,3,6,8,4,2,1] => 1011011
[1,5,3,2,7,6,8,4] => [1,3,5,8,2,7,6,4] => [1,7,6,8,3,2,5,4] => 0101011
[5,3,2,1,7,6,8,4] => [2,3,5,8,1,7,6,4] => [7,6,8,3,2,1,5,4] => 1101011
[2,5,3,1,7,6,8,4] => [3,2,5,8,1,7,6,4] => [2,7,6,8,3,1,5,4] => 0101011
[2,7,5,1,6,8,4,3] => [5,2,4,7,8,3,6,1] => [2,8,4,3,6,7,5,1] => 0011011
[2,4,6,1,7,5,8,3] => [6,2,8,4,7,1,5,3] => [2,4,7,1,8,5,6,3] => 0000111
[4,7,1,6,5,8,2,3] => [7,8,2,4,6,1,5,3] => [4,6,2,8,5,7,1,3] => 0000111
[4,8,2,6,5,7,1,3] => [7,8,1,4,6,2,5,3] => [4,6,1,8,5,7,2,3] => 0000111
[4,6,1,2,7,5,8,3] => [6,1,8,4,7,2,5,3] => [4,7,1,2,8,5,6,3] => 0000111
[8,4,1,2,6,7,5,3] => [4,1,8,5,7,3,6,2] => [7,5,3,6,8,4,1,2] => 0011011
[5,3,1,2,7,6,8,4] => [3,1,5,8,2,7,6,4] => [7,6,8,3,1,2,5,4] => 0101011
[1,2,5,3,7,6,8,4] => [1,2,5,8,3,7,6,4] => [1,2,7,6,8,3,5,4] => 0001011
[4,3,1,2,7,6,8,5] => [3,1,4,2,8,7,6,5] => [4,3,1,2,7,6,8,5] => 0110011
[3,5,1,2,7,6,8,4] => [5,1,3,8,2,7,6,4] => [3,7,6,8,1,2,5,4] => 0001011
[6,7,1,5,8,2,3,4] => [7,8,2,3,1,6,5,4] => [6,8,2,3,5,7,1,4] => 0000011
[2,7,6,1,5,8,3,4] => [6,2,7,1,3,8,5,4] => [2,8,1,5,7,6,3,4] => 0000111
[2,3,5,1,7,6,8,4] => [5,2,3,8,1,7,6,4] => [2,3,7,6,8,1,5,4] => 0001011
[7,6,1,5,8,3,2,4] => [6,3,7,1,2,8,5,4] => [8,3,1,5,7,6,2,4] => 0100111
[3,6,7,1,5,8,2,4] => [7,8,3,2,1,6,5,4] => [3,6,8,2,5,7,1,4] => 0000011
[7,1,6,5,8,2,4,3] => [7,8,4,2,6,1,5,3] => [4,2,6,1,8,5,7,3] => 0010111
[7,5,1,6,8,4,2,3] => [5,4,1,7,8,2,6,3] => [8,4,1,6,7,5,2,3] => 0011011
[8,4,1,6,7,5,2,3] => [4,8,1,5,7,2,6,3] => [7,5,1,6,8,4,2,3] => 0011011
[5,2,3,1,7,6,8,4] => [3,5,2,8,1,7,6,4] => [7,6,8,2,3,1,5,4] => 0101011
[3,5,2,1,7,6,8,4] => [2,5,3,8,1,7,6,4] => [3,7,6,8,2,1,5,4] => 1001011
[1,3,5,2,7,6,8,4] => [1,5,3,8,2,7,6,4] => [1,3,7,6,8,2,5,4] => 0001011
[1,7,6,2,5,8,3,4] => [1,6,7,2,3,8,5,4] => [1,8,2,5,7,6,3,4] => 0000111
[7,6,2,1,5,8,3,4] => [2,6,7,1,3,8,5,4] => [8,2,1,5,7,6,3,4] => 1000111
[6,2,4,1,7,5,8,3] => [4,6,8,2,7,1,5,3] => [7,2,8,5,6,1,4,3] => 0010111
[6,2,5,1,7,4,8,3] => [5,6,8,7,2,1,4,3] => [7,2,8,1,6,4,5,3] => 0001111
[7,1,6,4,8,2,5,3] => [7,8,5,6,2,1,4,3] => [6,2,5,1,8,4,7,3] => 0001111
[8,2,6,4,7,1,5,3] => [7,8,5,6,1,2,4,3] => [6,1,5,2,8,4,7,3] => 0001111
[6,1,5,2,7,4,8,3] => [6,5,8,7,1,2,4,3] => [7,1,8,2,5,4,6,3] => 0001111
[8,3,5,7,6,2,1,4] => [2,6,7,3,1,8,5,4] => [8,3,5,7,6,2,1,4] => 1000111
[1,8,3,5,7,6,2,4] => [1,6,7,3,2,8,5,4] => [1,8,3,5,7,6,2,4] => 0000111
[1,5,2,3,7,6,8,4] => [1,5,2,8,3,7,6,4] => [1,7,6,8,2,3,5,4] => 0001011
[5,2,1,3,7,6,8,4] => [2,5,1,8,3,7,6,4] => [7,6,8,2,1,3,5,4] => 1001011
[7,5,2,6,8,4,1,3] => [4,8,2,5,7,1,6,3] => [7,5,2,6,8,4,1,3] => 0011011
[8,4,2,6,7,5,1,3] => [5,4,2,7,8,1,6,3] => [8,4,2,6,7,5,1,3] => 0011011
[6,1,4,2,7,5,8,3] => [6,4,8,1,7,2,5,3] => [7,1,4,2,8,5,6,3] => 0010111
[8,2,6,5,7,1,4,3] => [7,8,4,1,6,2,5,3] => [4,1,6,2,8,5,7,3] => 0010111
[3,6,8,2,5,7,1,4] => [7,8,3,1,2,6,5,4] => [3,6,8,1,5,7,2,4] => 0000011
[8,3,2,5,7,6,1,4] => [6,3,7,2,1,8,5,4] => [8,3,2,5,7,6,1,4] => 0100111
[5,1,3,2,7,6,8,4] => [5,3,1,8,2,7,6,4] => [3,1,7,6,8,2,5,4] => 0101011
[4,1,3,2,7,6,8,5] => [4,3,1,2,8,7,6,5] => [3,1,4,2,7,6,8,5] => 0110011
[4,2,1,3,7,6,8,5] => [2,4,1,3,8,7,6,5] => [4,2,1,3,7,6,8,5] => 1010011
[1,4,2,3,7,6,8,5] => [1,4,2,3,8,7,6,5] => [1,4,2,3,7,6,8,5] => 0010011
[2,4,1,3,7,6,8,5] => [4,2,1,3,8,7,6,5] => [2,4,1,3,7,6,8,5] => 0010011
[2,5,1,3,7,6,8,4] => [5,2,1,8,3,7,6,4] => [2,7,6,8,1,3,5,4] => 0001011
[2,8,3,5,7,6,1,4] => [6,2,7,3,1,8,5,4] => [2,8,3,5,7,6,1,4] => 0000111
[6,8,2,3,5,7,1,4] => [7,8,2,1,3,6,5,4] => [6,8,2,5,7,1,3,4] => 0000011
[6,7,1,3,5,8,2,4] => [7,8,1,2,3,6,5,4] => [6,8,1,5,7,2,3,4] => 0000011
[8,3,5,7,6,1,2,4] => [6,1,7,3,2,8,5,4] => [8,3,5,7,6,1,2,4] => 0000111
[5,1,2,3,7,6,8,4] => [5,1,2,8,3,7,6,4] => [7,6,8,1,2,3,5,4] => 0001011
[3,1,2,4,7,6,8,5] => [3,1,2,4,8,7,6,5] => [3,1,2,4,7,6,8,5] => 0100011
[10,8,9,5,6,7,1,2,3,4] => [7,1,2,3,9,5,6,10,8,4] => [10,8,9,5,6,7,1,2,3,4] => 000001011
[10,8,9,4,5,6,1,2,3,7] => [6,1,2,9,4,5,3,10,8,7] => [10,8,9,4,5,6,1,2,3,7] => 000010011
[10,7,8,5,6,9,1,2,3,4] => [9,1,2,3,8,5,10,7,6,4] => [10,7,8,5,6,9,1,2,3,4] => 000000111
[10,6,7,4,5,8,1,2,3,9] => [8,1,2,7,4,10,6,5,3,9] => [10,6,7,4,5,8,1,2,3,9] => 000001101
[9,8,10,5,6,7,1,2,3,4] => [7,1,2,3,10,5,6,9,8,4] => [9,8,10,5,6,7,1,2,3,4] => 000001011
[9,8,10,4,5,6,1,2,3,7] => [6,1,2,10,4,5,3,9,8,7] => [9,8,10,4,5,6,1,2,3,7] => 000010011
[8,7,9,5,6,10,1,2,3,4] => [10,1,2,3,9,5,8,7,6,4] => [8,7,9,5,6,10,1,2,3,4] => 000000111
[7,6,8,4,5,9,1,2,3,10] => [9,1,2,8,4,7,6,5,3,10] => [7,6,8,4,5,9,1,2,3,10] => 000001110
[8,1,2,4,3,6,5,7] => [8,1,4,2,6,3,5,7] => [4,1,2,6,3,8,5,7] => 0010101
[8,1,3,5,6,2,7,4] => [8,6,1,7,3,5,2,4] => [7,1,3,5,6,2,8,4] => 0000111
[8,1,3,2,4,5,7,6] => [8,3,1,2,4,7,5,6] => [3,1,7,2,4,5,8,6] => 0100011
[6,3,2,1,4,5,8,7] => [2,3,6,1,4,5,8,7] => [6,3,2,1,4,5,8,7] => 1100101
[7,4,1,5,6,8,2,3] => [4,7,1,8,2,5,6,3] => [8,1,5,6,7,4,2,3] => 0010011
[3,7,8,4,2,6,1,5] => [6,4,3,8,1,2,7,5] => [3,7,8,4,1,6,2,5] => 0010101
[3,7,8,2,4,5,1,6] => [5,8,3,2,4,1,7,6] => [3,7,8,2,4,5,1,6] => 0001001
[3,5,2,4,8,6,1,7] => [6,5,3,2,4,8,1,7] => [3,5,2,4,8,6,1,7] => 0001101
[7,4,1,2,3,8,5,6] => [4,1,2,7,8,5,3,6] => [8,5,7,4,1,2,3,6] => 0010011
[2,6,5,8,7,3,4,1] => [4,2,7,3,6,5,8,1] => [2,6,5,8,7,3,4,1] => 0010111
[2,4,6,7,3,8,5,1] => [5,2,8,4,7,6,1,3] => [2,4,6,7,1,8,5,3] => 0001011
[4,7,8,2,3,1,5,6] => [3,8,2,4,1,5,7,6] => [4,7,8,2,3,1,5,6] => 0100001
[5,6,4,8,1,7,2,3] => [8,7,2,6,5,4,1,3] => [5,6,4,7,2,8,1,3] => 0000111
[5,6,3,8,1,2,7,4] => [8,1,6,7,5,3,2,4] => [5,7,3,6,1,2,8,4] => 0000111
[5,2,7,8,6,4,1,3] => [4,6,2,5,1,8,7,3] => [5,2,7,8,6,4,1,3] => 0011101
[4,7,1,2,8,6,5,3] => [7,1,5,4,6,8,2,3] => [4,8,6,5,1,2,7,3] => 0001111
[4,6,8,1,2,7,5,3] => [8,1,5,4,7,6,2,3] => [4,6,7,5,1,2,8,3] => 0001011
[6,8,7,1,5,3,2,4] => [7,3,5,2,1,6,8,4] => [5,3,2,6,8,7,1,4] => 0101011
[7,8,1,3,6,5,2,4] => [8,5,1,2,6,3,7,4] => [6,5,1,7,8,2,3,4] => 0001101
[4,7,2,8,6,1,5,3] => [6,8,5,4,2,7,1,3] => [4,5,2,7,1,8,6,3] => 0001111
[4,2,7,1,8,6,5,3] => [7,4,5,2,6,8,1,3] => [8,6,5,2,4,1,7,3] => 0011111
[6,8,7,2,5,3,1,4] => [3,5,7,2,1,6,8,4] => [6,8,7,2,5,3,1,4] => 0101011
[1,6,8,3,7,4,5,2] => [1,5,8,7,4,6,3,2] => [1,6,7,4,8,3,5,2] => 0001011
[6,8,7,2,3,5,1,4] => [5,7,2,1,3,6,8,4] => [6,8,7,2,5,1,3,4] => 0001011
[8,7,6,2,1,4,3,5] => [2,6,4,1,3,7,8,5] => [4,2,1,8,7,6,3,5] => 1010111
[8,5,7,2,3,1,6,4] => [3,7,2,6,8,1,5,4] => [8,2,3,1,6,5,7,4] => 0100111
[5,8,4,2,7,1,6,3] => [7,4,8,6,5,1,3,2] => [5,6,1,8,4,3,7,2] => 0010111
[1,8,7,3,5,4,6,2] => [1,6,7,5,3,4,8,2] => [1,5,3,8,7,4,6,2] => 0001111
[8,2,5,4,7,1,6,3] => [7,8,6,5,2,1,4,3] => [5,2,6,1,8,4,7,3] => 0001111
[8,5,2,7,3,1,6,4] => [3,7,5,8,6,2,4,1] => [6,2,8,5,4,7,3,1] => 0101111
[8,7,6,2,4,3,1,5] => [3,4,6,1,2,7,8,5] => [8,7,6,1,4,3,2,5] => 0110111
[8,7,6,4,1,3,2,5] => [4,3,1,6,2,7,8,5] => [3,1,8,7,6,4,2,5] => 0110111
[1,8,7,5,4,3,6,2] => [1,6,4,5,7,3,8,2] => [1,8,7,5,4,3,6,2] => 0011111
[1,6,8,4,3,7,5,2] => [1,5,4,7,8,6,2,3] => [1,6,8,4,2,7,5,3] => 0011011
[6,8,1,7,3,2,5,4] => [8,3,7,5,2,6,1,4] => [5,3,2,6,7,1,8,4] => 0101011
[8,5,7,3,1,6,2,4] => [3,7,6,1,8,2,5,4] => [8,1,6,5,7,3,2,4] => 0100111
[8,5,7,1,3,2,6,4] => [7,3,1,6,8,2,5,4] => [3,1,8,2,6,5,7,4] => 0100111
[5,8,4,7,1,2,6,3] => [7,1,6,8,5,2,4,3] => [5,8,1,2,6,4,7,3] => 0000111
[5,8,4,1,7,2,6,3] => [4,8,7,6,5,3,2,1] => [5,6,3,7,2,8,4,1] => 0010111
[5,8,4,7,1,6,2,3] => [7,6,2,8,5,1,4,3] => [5,8,2,6,4,7,1,3] => 0000111
[8,1,2,6,5,7,4,3] => [8,1,4,7,6,2,5,3] => [6,4,1,2,7,5,8,3] => 0010111
[8,2,5,6,7,4,1,3] => [4,7,2,8,1,5,6,3] => [8,2,5,6,7,4,1,3] => 0010011
[4,8,5,7,1,6,2,3] => [7,6,2,4,8,1,5,3] => [4,8,2,6,5,7,1,3] => 0000111
[4,8,5,7,1,2,6,3] => [7,1,6,4,8,2,5,3] => [4,8,1,2,6,5,7,3] => 0000111
[4,8,5,1,7,2,6,3] => [5,8,7,4,6,3,2,1] => [4,6,3,7,2,8,5,1] => 0001111
[6,8,1,3,7,2,5,4] => [8,7,1,5,2,6,3,4] => [5,1,6,7,2,3,8,4] => 0001011
[1,6,4,8,3,7,5,2] => [1,5,7,8,6,2,4,3] => [1,6,2,8,4,7,5,3] => 0001111
[1,8,7,4,5,3,6,2] => [1,6,5,7,4,3,8,2] => [1,8,7,4,5,3,6,2] => 0001111
[8,7,6,3,1,4,2,5] => [3,6,4,2,1,7,8,5] => [4,2,8,7,6,3,1,5] => 0110111
[8,7,6,1,3,2,4,5] => [6,3,1,2,4,7,8,5] => [3,1,8,7,6,2,4,5] => 0100111
[8,5,3,2,7,1,6,4] => [7,3,5,8,6,1,4,2] => [6,3,1,8,5,4,7,2] => 0101111
[4,8,5,2,7,1,6,3] => [7,5,8,4,6,1,3,2] => [4,6,1,8,5,3,7,2] => 0001111
[1,8,7,3,4,5,6,2] => [1,6,7,3,4,5,8,2] => [1,8,7,3,4,5,6,2] => 0000111
[8,5,2,3,7,1,6,4] => [7,5,2,8,6,1,4,3] => [6,2,8,5,4,7,1,3] => 0001111
[6,3,1,5,4,2,8,7] => [3,6,4,5,2,1,8,7] => [5,4,2,6,3,1,8,7] => 0111101
[8,3,1,5,2,7,6,4] => [3,8,5,6,2,7,1,4] => [7,6,2,5,3,1,8,4] => 0101111
[8,5,4,2,1,7,3,6] => [2,4,5,8,7,3,1,6] => [7,3,8,5,4,2,1,6] => 1011011
[8,5,4,2,1,7,6,3] => [2,4,5,8,6,7,1,3] => [7,6,2,1,8,5,4,3] => 1011111
[6,5,4,2,1,3,8,7] => [2,4,1,5,6,3,8,7] => [6,5,4,2,1,3,8,7] => 1011101
[6,5,4,2,3,1,8,7] => [3,4,2,5,6,1,8,7] => [6,5,4,2,3,1,8,7] => 0111101
[6,3,2,5,1,4,8,7] => [5,3,6,1,2,4,8,7] => [6,3,1,5,2,4,8,7] => 0101101
[6,5,4,3,1,2,8,7] => [3,1,4,5,6,2,8,7] => [6,5,4,3,1,2,8,7] => 0111101
[6,5,4,1,3,2,8,7] => [4,3,1,5,6,2,8,7] => [3,1,6,5,4,2,8,7] => 0111101
[8,5,4,1,2,7,6,3] => [4,1,5,8,6,7,2,3] => [7,6,1,2,8,5,4,3] => 0011111
[8,7,4,1,6,3,2,5] => [4,3,7,6,1,2,8,5] => [6,3,1,8,7,4,2,5] => 0110111
[8,7,4,1,6,3,5,2] => [4,7,5,6,1,2,8,3] => [6,1,5,2,8,7,4,3] => 0011111
[8,7,4,1,6,5,3,2] => [4,3,7,5,6,2,8,1] => [6,5,3,2,8,7,4,1] => 0111111
[8,5,4,1,3,7,6,2] => [4,5,1,8,6,7,3,2] => [7,6,1,3,8,5,4,2] => 0011111
[8,3,2,5,1,7,6,4] => [5,3,8,6,2,7,1,4] => [7,6,3,2,8,1,5,4] => 0101111
[2,1,8,5,3,7,6,4] => [2,1,5,8,6,7,4,3] => [2,1,7,6,4,8,5,3] => 1001111
[8,3,2,5,1,7,4,6] => [5,3,8,7,2,4,1,6] => [7,3,2,8,4,5,1,6] => 0101011
[8,5,4,3,1,7,2,6] => [3,4,5,8,7,1,2,6] => [7,1,8,5,4,3,2,6] => 0111011
[8,5,4,1,3,7,2,6] => [4,5,1,8,7,2,3,6] => [7,1,8,5,4,2,3,6] => 0011011
[8,7,4,1,6,5,2,3] => [4,7,1,5,6,2,8,3] => [6,5,1,8,7,4,2,3] => 0011111
[8,7,4,1,6,2,5,3] => [4,7,6,5,3,2,8,1] => [5,3,6,2,8,7,4,1] => 0011111
[8,7,6,5,2,1,4,3] => [2,5,4,1,6,7,8,3] => [4,2,1,8,7,6,5,3] => 1011111
[8,7,4,3,6,2,1,5] => [2,6,4,7,1,3,8,5] => [8,7,4,2,1,6,3,5] => 1010111
[8,3,2,7,6,4,1,5] => [4,3,6,7,1,8,2,5] => [8,3,1,7,6,4,2,5] => 0110111
[2,1,8,7,6,4,3,5] => [2,1,4,6,3,7,8,5] => [2,1,8,7,6,4,3,5] => 1010111
[2,1,8,7,6,4,5,3] => [2,1,5,6,4,7,8,3] => [2,1,8,7,6,4,5,3] => 1001111
[8,3,2,7,6,4,5,1] => [5,3,8,6,4,7,2,1] => [7,6,4,8,3,2,5,1] => 0101111
[8,7,4,3,6,2,5,1] => [5,6,4,7,2,3,8,1] => [8,7,4,2,6,3,5,1] => 0011111
[8,7,6,5,2,4,3,1] => [3,4,5,1,6,7,8,2] => [8,7,6,5,1,4,3,2] => 0111111
[8,5,4,2,3,7,6,1] => [6,4,1,5,7,8,3,2] => [8,5,4,1,3,7,6,2] => 0011111
[8,7,4,2,6,5,3,1] => [3,5,4,6,7,2,8,1] => [8,7,4,2,6,5,3,1] => 0111111
[8,7,4,2,6,3,5,1] => [5,4,7,6,2,3,8,1] => [6,2,8,7,4,3,5,1] => 0011111
[8,7,4,2,6,3,1,5] => [3,6,4,7,2,1,8,5] => [8,7,4,2,6,3,1,5] => 0110111
[8,3,1,7,6,4,2,5] => [3,8,4,6,1,7,2,5] => [7,6,4,1,8,3,2,5] => 0110111
[8,3,1,7,6,5,4,2] => [3,8,4,5,6,7,2,1] => [7,6,5,4,2,8,3,1] => 0111111
[8,3,1,5,4,7,2,6] => [3,8,7,5,2,1,4,6] => [5,2,7,3,1,8,4,6] => 0101011
[8,3,1,7,6,5,2,4] => [3,8,5,1,6,7,2,4] => [7,6,5,1,8,3,2,4] => 0101111
[8,7,4,2,6,1,5,3] => [6,4,7,5,1,3,8,2] => [5,1,8,7,4,3,6,2] => 0011111
[8,7,4,2,6,5,1,3] => [5,4,2,6,7,1,8,3] => [8,7,4,2,6,5,1,3] => 0011111
[8,3,2,5,4,7,1,6] => [7,3,8,5,2,1,4,6] => [5,3,2,8,1,7,4,6] => 0101011
[2,1,8,5,4,7,3,6] => [2,1,7,5,8,3,4,6] => [2,1,8,5,3,7,4,6] => 1001011
[8,3,2,7,6,5,1,4] => [5,3,6,1,7,8,2,4] => [8,3,1,7,6,5,2,4] => 0101111
[8,7,4,3,6,5,1,2] => [5,1,4,6,7,2,8,3] => [8,7,4,1,2,6,5,3] => 0011111
[8,7,6,5,3,1,4,2] => [3,5,4,2,6,7,8,1] => [4,2,8,7,6,5,3,1] => 0111111
[8,7,6,5,1,3,2,4] => [5,3,1,2,6,7,8,4] => [3,1,8,7,6,5,2,4] => 0101111
[8,7,6,5,1,3,4,2] => [5,4,1,3,6,7,8,2] => [4,1,3,8,7,6,5,2] => 0011111
[8,7,6,5,1,4,3,2] => [5,3,4,1,6,7,8,2] => [4,3,1,8,7,6,5,2] => 0111111
[8,7,6,5,4,1,3,2] => [4,3,1,5,6,7,8,2] => [3,1,8,7,6,5,4,2] => 0111111
[8,3,2,7,6,1,5,4] => [6,3,7,5,2,8,1,4] => [5,3,2,8,1,7,6,4] => 0101111
[2,1,8,7,6,3,5,4] => [2,1,6,5,3,7,8,4] => [2,1,5,3,8,7,6,4] => 1001111
[8,3,2,7,6,1,4,5] => [6,3,7,2,4,8,1,5] => [8,3,2,4,7,6,1,5] => 0100111
[8,7,6,5,1,4,2,3] => [5,4,2,1,6,7,8,3] => [4,2,8,7,6,5,1,3] => 0011111
[8,7,6,5,1,2,4,3] => [5,1,4,2,6,7,8,3] => [4,1,2,8,7,6,5,3] => 0011111
[7,3,5,1,8,4,6,2] => [5,6,7,8,3,4,1,2] => [8,3,7,4,6,1,5,2] => 0001111
[7,3,4,1,8,5,6,2] => [4,6,7,3,8,5,1,2] => [8,5,7,3,6,1,4,2] => 0010111
[4,5,6,2,1,8,7,3] => [2,6,7,4,5,1,8,3] => [4,5,8,7,2,1,6,3] => 1000111
[7,6,5,1,8,4,3,2] => [5,3,4,6,7,8,1,2] => [8,4,3,1,7,6,5,2] => 0111111
[6,4,2,1,8,7,5,3] => [2,4,6,5,7,3,8,1] => [8,7,5,3,6,4,2,1] => 1011111
[1,5,3,2,7,6,4,8] => [1,3,5,6,2,7,4,8] => [1,7,6,3,2,5,4,8] => 0101110
[5,3,2,1,8,7,6,4] => [2,3,5,6,1,7,8,4] => [8,7,6,3,2,1,5,4] => 1101111
[2,5,3,1,7,8,6,4] => [3,2,5,6,1,8,7,4] => [2,7,8,6,3,1,5,4] => 0101101
[2,6,5,1,7,8,4,3] => [5,2,4,6,8,3,7,1] => [2,7,8,4,3,6,5,1] => 0011101
[4,5,7,1,6,8,2,3] => [7,8,2,4,5,1,6,3] => [4,5,8,2,6,7,1,3] => 0000011
[6,5,1,2,8,4,3,7] => [5,1,4,6,8,3,2,7] => [8,4,3,6,5,1,2,7] => 0011101
[6,4,1,2,8,5,3,7] => [4,1,6,5,8,3,2,7] => [8,5,3,6,4,1,2,7] => 0011101
[5,3,1,2,8,6,4,7] => [3,1,5,6,2,8,4,7] => [8,6,3,1,2,5,4,7] => 0101101
[4,3,1,2,8,6,5,7] => [3,1,4,2,6,8,5,7] => [4,3,1,2,8,6,5,7] => 0110101
[6,1,2,5,8,3,4,7] => [6,1,8,3,2,5,4,7] => [8,3,5,6,1,2,4,7] => 0000101
[7,1,3,4,8,2,5,6] => [7,8,1,3,2,5,4,6] => [8,1,3,5,7,2,4,6] => 0000011
[7,1,5,6,8,2,3,4] => [7,8,2,3,1,5,6,4] => [8,2,3,5,6,7,1,4] => 0000011
[2,6,1,5,7,8,3,4] => [6,2,8,3,1,5,7,4] => [2,7,8,3,5,6,1,4] => 0000101
[7,4,1,6,8,5,2,3] => [4,7,1,5,8,2,6,3] => [8,5,1,6,7,4,2,3] => 0011011
[5,2,3,1,8,6,7,4] => [3,5,2,7,1,8,6,4] => [8,6,7,2,3,1,5,4] => 0101011
[3,5,2,1,6,8,7,4] => [2,5,3,7,1,6,8,4] => [3,6,8,7,2,1,5,4] => 1001011
[1,6,2,5,7,3,4,8] => [1,6,7,3,2,5,4,8] => [1,7,3,5,6,2,4,8] => 0000110
[6,2,1,5,8,7,3,4] => [2,6,7,3,1,5,8,4] => [8,7,3,5,6,2,1,4] => 1000111
[6,2,4,1,8,5,7,3] => [4,6,7,2,8,1,5,3] => [8,2,7,5,6,1,4,3] => 0010111
[6,2,5,1,8,4,7,3] => [5,6,7,8,2,1,4,3] => [8,2,7,1,6,4,5,3] => 0001111
[7,3,1,4,8,6,2,5] => [3,7,6,2,1,8,4,5] => [8,6,2,7,3,1,4,5] => 0100111
[6,2,1,4,8,7,3,5] => [2,6,7,1,3,4,8,5] => [8,7,2,1,6,3,4,5] => 1000111
[1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => [1,7,2,6,3,4,5,8] => 0000110
[5,2,1,3,8,7,4,6] => [2,5,1,7,3,4,8,6] => [8,7,2,1,3,5,4,6] => 1001011
[7,4,1,3,8,5,2,6] => [4,7,2,5,8,1,3,6] => [8,5,2,7,4,1,3,6] => 0011011
[7,5,1,3,8,4,2,6] => [5,4,2,7,8,1,3,6] => [8,4,2,7,5,1,3,6] => 0011011
[3,6,7,1,4,8,2,5] => [7,8,3,1,2,6,4,5] => [3,6,8,1,7,2,4,5] => 0000011
[7,6,1,4,8,3,2,5] => [6,3,7,2,1,8,4,5] => [8,3,2,7,6,1,4,5] => 0100111
[4,2,1,3,8,7,5,6] => [2,4,1,3,7,5,8,6] => [4,2,1,3,8,7,5,6] => 1010011
[2,6,1,4,7,8,3,5] => [6,2,8,1,3,4,7,5] => [2,7,8,1,6,3,4,5] => 0000101
[7,1,4,6,8,2,3,5] => [7,8,2,1,3,4,6,5] => [8,2,6,7,1,3,4,5] => 0000011
[7,1,3,5,8,2,4,6] => [7,8,1,2,3,4,5,6] => [8,1,7,2,3,4,5,6] => 0000011
[6,1,2,4,8,3,5,7] => [6,1,8,2,3,4,5,7] => [8,1,2,6,3,4,5,7] => 0000101
[5,2,3,1,6,4,8,7] => [3,5,2,6,1,4,8,7] => [6,2,3,1,5,4,8,7] => 0101101
[7,4,5,2,3,1,8,6] => [3,5,2,7,4,8,1,6] => [8,4,5,2,3,1,7,6] => 0101011
[8,6,7,3,5,2,4,1] => [4,5,7,2,3,8,6,1] => [8,6,7,2,5,3,4,1] => 0011011
[7,3,5,2,4,1,8,6] => [4,5,7,2,3,8,1,6] => [8,2,5,3,4,1,7,6] => 0011011
[6,3,5,2,4,1,8,7] => [4,5,6,2,3,1,8,7] => [6,2,5,3,4,1,8,7] => 0011101
[5,2,4,1,6,3,8,7] => [4,5,6,2,1,3,8,7] => [6,2,5,1,4,3,8,7] => 0011101
[4,1,6,3,5,2,8,7] => [4,5,6,1,3,2,8,7] => [6,1,5,3,4,2,8,7] => 0011101
[6,3,4,1,5,2,8,7] => [4,5,6,3,1,2,8,7] => [6,3,5,1,4,2,8,7] => 0011101
[5,2,6,3,4,1,8,7] => [4,5,6,3,2,1,8,7] => [6,3,5,2,4,1,8,7] => 0011101
[5,2,7,3,4,1,8,6] => [4,5,7,3,2,8,1,6] => [8,3,5,2,4,1,7,6] => 0011011
[5,2,8,6,7,3,4,1] => [4,5,7,3,2,8,6,1] => [8,6,7,3,5,2,4,1] => 0011011
[6,2,8,5,7,3,4,1] => [4,6,7,3,8,2,5,1] => [8,3,7,5,6,2,4,1] => 0010111
[6,2,7,3,4,1,8,5] => [4,6,7,3,8,2,1,5] => [8,3,7,2,4,1,6,5] => 0010111
[7,3,4,1,5,2,8,6] => [4,5,7,3,1,8,2,6] => [8,3,5,1,4,2,7,6] => 0011011
[4,1,7,3,5,2,8,6] => [4,5,7,1,3,8,2,6] => [8,1,5,3,4,2,7,6] => 0011011
[3,1,7,4,5,2,8,6] => [3,5,1,7,4,8,2,6] => [8,4,5,1,3,2,7,6] => 0101011
[2,1,7,4,5,3,8,6] => [2,1,5,7,4,8,3,6] => [2,1,8,4,5,3,7,6] => 1001011
[3,1,8,6,7,4,5,2] => [3,5,1,7,4,8,6,2] => [8,6,7,4,5,1,3,2] => 0101011
[4,1,8,6,7,3,5,2] => [4,5,7,1,3,8,6,2] => [8,6,7,1,5,3,4,2] => 0011011
[8,6,7,3,4,1,5,2] => [4,5,7,3,1,8,6,2] => [8,6,7,3,5,1,4,2] => 0011011
[8,5,7,3,4,1,6,2] => [4,6,7,3,8,1,5,2] => [8,3,7,5,6,1,4,2] => 0010111
[8,5,6,2,7,3,4,1] => [4,6,7,3,8,5,2,1] => [8,5,7,3,6,2,4,1] => 0010111
[8,4,7,3,5,1,6,2] => [5,6,7,8,3,1,4,2] => [8,3,7,1,6,4,5,2] => 0001111
[5,1,8,4,7,3,6,2] => [5,6,7,8,1,3,4,2] => [8,1,7,3,6,4,5,2] => 0001111
[4,1,8,5,7,3,6,2] => [4,6,7,1,8,3,5,2] => [8,1,7,5,6,3,4,2] => 0010111
[3,1,8,5,7,4,6,2] => [3,6,1,7,8,4,5,2] => [8,4,7,5,6,1,3,2] => 0100111
[2,1,8,5,7,4,6,3] => [2,1,6,7,8,4,5,3] => [2,1,8,4,7,5,6,3] => 1000111
[2,1,7,4,6,3,8,5] => [2,1,6,7,8,4,3,5] => [2,1,8,4,7,3,6,5] => 1000111
[3,1,7,4,6,2,8,5] => [3,6,1,7,8,4,2,5] => [8,4,7,1,3,2,6,5] => 0100111
[4,1,7,3,6,2,8,5] => [4,6,7,1,8,3,2,5] => [8,1,7,3,4,2,6,5] => 0010111
[5,1,7,3,6,2,8,4] => [5,6,7,8,1,3,2,4] => [8,1,7,3,6,2,5,4] => 0001111
[6,2,7,3,5,1,8,4] => [5,6,7,8,3,2,1,4] => [8,3,7,2,6,1,5,4] => 0001111
[6,2,8,4,7,3,5,1] => [5,6,7,8,3,2,4,1] => [8,3,7,2,6,4,5,1] => 0001111
[8,4,7,3,6,2,5,1] => [5,6,7,8,2,3,4,1] => [8,2,7,3,6,4,5,1] => 0001111
[7,3,6,2,5,1,8,4] => [5,6,7,8,2,3,1,4] => [8,2,7,3,6,1,5,4] => 0001111
[6,2,5,1,7,3,8,4] => [5,6,7,8,2,1,3,4] => [8,2,7,1,6,3,5,4] => 0001111
[5,2,4,1,7,3,8,6] => [4,5,7,2,1,8,3,6] => [8,2,5,1,4,3,7,6] => 0011011
[6,2,4,1,7,3,8,5] => [4,6,7,2,8,1,3,5] => [8,2,7,1,4,3,6,5] => 0010111
[8,5,7,3,6,2,4,1] => [4,6,7,2,8,3,5,1] => [8,2,7,5,6,3,4,1] => 0010111
[8,5,7,4,6,2,3,1] => [3,6,2,7,8,4,5,1] => [8,4,7,5,6,2,3,1] => 0100111
[7,4,6,2,3,1,8,5] => [3,6,2,7,8,4,1,5] => [8,4,7,2,3,1,6,5] => 0100111
[6,2,3,1,7,4,8,5] => [3,6,2,7,8,1,4,5] => [8,2,3,1,7,4,6,5] => 0100111
[5,2,3,1,7,4,8,6] => [3,5,2,7,1,8,4,6] => [8,2,3,1,5,4,7,6] => 0101011
[4,2,3,1,7,5,8,6] => [3,4,2,1,7,8,5,6] => [4,2,3,1,8,5,7,6] => 0110011
[3,1,4,2,8,6,7,5] => [3,4,1,2,7,8,6,5] => [4,1,3,2,8,6,7,5] => 0110011
[6,2,3,1,8,5,7,4] => [3,6,2,7,8,1,5,4] => [8,2,3,1,7,5,6,4] => 0100111
[8,5,6,2,3,1,7,4] => [3,6,2,7,8,5,1,4] => [8,5,7,2,3,1,6,4] => 0100111
[7,4,8,5,6,2,3,1] => [3,6,2,7,8,5,4,1] => [8,5,7,4,6,2,3,1] => 0100111
[7,3,8,5,6,2,4,1] => [4,6,7,2,8,5,3,1] => [8,5,7,2,6,3,4,1] => 0010111
[8,5,6,2,4,1,7,3] => [4,6,7,2,8,5,1,3] => [8,5,7,2,6,1,4,3] => 0010111
[5,2,4,1,8,6,7,3] => [4,5,7,2,1,8,6,3] => [8,6,7,2,5,1,4,3] => 0011011
[4,1,5,2,8,6,7,3] => [4,5,7,1,2,8,6,3] => [8,6,7,1,5,2,4,3] => 0011011
[3,1,5,2,8,6,7,4] => [3,5,1,7,2,8,6,4] => [8,6,7,1,3,2,5,4] => 0101011
[2,1,6,3,8,5,7,4] => [2,1,6,7,8,3,5,4] => [2,1,8,3,7,5,6,4] => 1000111
[3,1,6,2,8,5,7,4] => [3,6,1,7,8,2,5,4] => [8,1,3,2,7,5,6,4] => 0100111
[4,1,6,2,8,5,7,3] => [4,6,7,1,8,2,5,3] => [8,1,7,5,6,2,4,3] => 0010111
[5,1,6,2,8,4,7,3] => [5,6,7,8,1,2,4,3] => [8,1,7,2,6,4,5,3] => 0001111
[8,4,6,2,5,1,7,3] => [5,6,7,8,2,4,1,3] => [8,2,7,4,6,1,5,3] => 0001111
[7,3,8,4,6,2,5,1] => [5,6,7,8,2,4,3,1] => [8,2,7,4,6,3,5,1] => 0001111
[6,2,7,3,8,4,5,1] => [5,6,7,8,4,2,3,1] => [8,4,7,2,6,3,5,1] => 0001111
[8,4,5,1,6,2,7,3] => [5,6,7,8,4,1,2,3] => [8,4,7,1,6,2,5,3] => 0001111
[5,1,8,4,6,2,7,3] => [5,6,7,8,1,4,2,3] => [8,1,7,4,6,2,5,3] => 0001111
[4,1,8,5,6,2,7,3] => [4,6,7,1,8,5,2,3] => [8,5,7,1,6,2,4,3] => 0010111
[3,1,8,5,6,2,7,4] => [3,6,1,7,8,5,2,4] => [8,5,7,1,3,2,6,4] => 0100111
[2,1,8,5,6,3,7,4] => [2,1,6,7,8,5,3,4] => [2,1,8,5,7,3,6,4] => 1000111
[2,1,7,4,8,5,6,3] => [2,1,6,7,8,5,4,3] => [2,1,8,5,7,4,6,3] => 1000111
[3,1,7,4,8,5,6,2] => [3,6,1,7,8,5,4,2] => [8,5,7,4,6,1,3,2] => 0100111
[4,1,7,3,8,5,6,2] => [4,6,7,1,8,5,3,2] => [8,5,7,1,6,3,4,2] => 0010111
[7,3,8,4,5,1,6,2] => [5,6,7,8,4,1,3,2] => [8,4,7,1,6,3,5,2] => 0001111
[8,4,5,1,7,3,6,2] => [5,6,7,8,4,3,1,2] => [8,4,7,3,6,1,5,2] => 0001111
[7,3,6,2,8,4,5,1] => [5,6,7,8,4,3,2,1] => [8,4,7,3,6,2,5,1] => 0001111
[1,3,8,4,7,2,5,6] => [1,7,3,8,2,5,4,6] => [1,3,8,2,5,7,4,6] => 0000011
[4,6,1,2,5,7,3,8] => [6,1,7,4,2,5,3,8] => [4,7,1,2,5,6,3,8] => 0000110
[1,4,8,2,5,7,3,6] => [1,8,7,4,2,3,5,6] => [1,4,7,2,8,3,5,6] => 0000011
[7,8,2,4,5,6,1,3] => [6,8,1,2,4,5,7,3] => [7,8,1,4,5,6,2,3] => 0000101
[7,8,5,1,4,2,6,3] => [5,4,8,3,6,2,7,1] => [6,3,4,2,7,8,5,1] => 0011101
[2,6,4,8,3,7,1,5] => [7,2,8,6,1,4,3,5] => [2,6,1,8,4,7,3,5] => 0000111
[1,4,6,8,3,7,5,2] => [1,5,7,4,8,6,2,3] => [1,4,6,8,2,7,5,3] => 0001011
[2,4,8,5,3,1,6,7] => [3,2,5,4,8,1,6,7] => [2,4,8,5,3,1,6,7] => 0101001
[3,5,8,4,7,6,1,2] => [6,1,3,7,5,8,2,4] => [3,5,8,1,2,7,6,4] => 0000111
[1,6,2,4,7,3,8,5] => [1,6,7,2,8,4,3,5] => [1,8,2,4,7,3,6,5] => 0000111
[5,6,2,1,4,7,8,3] => [2,6,8,1,5,4,7,3] => [5,7,8,2,1,4,6,3] => 1000101
[4,6,2,5,3,1,8,7] => [3,5,6,4,1,2,8,7] => [4,6,1,5,3,2,8,7] => 0101101
[4,7,5,1,3,6,8,2] => [5,7,2,4,8,3,6,1] => [4,8,2,3,6,7,5,1] => 0001011
[5,7,3,6,1,4,8,2] => [6,8,7,1,5,3,4,2] => [5,7,1,8,3,4,6,2] => 0000111
[5,3,6,7,2,1,8,4] => [2,7,5,8,3,6,1,4] => [6,8,3,5,2,1,7,4] => 1001011
[6,1,7,5,2,4,8,3] => [6,5,7,3,8,1,4,2] => [8,3,7,5,1,4,6,2] => 0001111
[6,3,1,2,4,5,8,7] => [3,1,6,2,4,5,8,7] => [6,3,1,2,4,5,8,7] => 0100101
[1,4,7,2,5,3,8,6] => [1,7,5,4,2,8,3,6] => [1,4,5,2,8,3,7,6] => 0001011
[3,6,1,8,4,2,5,7] => [6,4,3,8,2,1,5,7] => [3,8,4,2,6,1,5,7] => 0010101
[3,5,6,7,8,1,4,2] => [8,4,3,1,5,6,7,2] => [3,4,1,5,6,7,8,2] => 0010001
[3,6,5,7,8,2,1,4] => [2,8,3,1,6,5,7,4] => [3,6,5,7,8,2,1,4] => 1000101
[2,7,5,6,8,4,1,3] => [4,2,1,8,7,5,6,3] => [2,7,5,6,8,4,1,3] => 0010011
[2,1,6,8,4,5,3,7] => [2,1,5,8,4,6,3,7] => [2,1,6,8,4,5,3,7] => 1001001
[2,7,1,8,5,3,4,6] => [7,2,5,3,8,4,1,6] => [2,8,5,3,4,7,1,6] => 0001011
[3,7,6,8,5,4,1,2] => [4,1,3,5,8,7,6,2] => [3,7,6,8,5,4,1,2] => 0011011
[4,3,8,5,6,7,1,2] => [7,1,4,3,8,5,6,2] => [4,3,8,5,6,7,1,2] => 0010011
[4,2,8,1,6,3,7,5] => [8,4,6,2,7,1,3,5] => [7,2,4,1,6,3,8,5] => 0010111
[3,2,8,4,5,6,1,7] => [6,3,2,8,4,5,1,7] => [3,2,8,4,5,6,1,7] => 0100101
[3,4,2,8,6,1,7,5] => [6,4,3,2,8,7,5,1] => [3,4,2,7,5,8,6,1] => 0010111
[3,4,7,1,5,2,6,8] => [7,5,3,4,1,2,6,8] => [3,4,5,1,7,2,6,8] => 0001010
[4,3,7,8,1,2,6,5] => [8,1,4,3,6,2,7,5] => [4,3,6,1,2,7,8,5] => 0010101
[1,7,3,8,5,2,6,4] => [1,5,8,7,6,3,4,2] => [1,6,3,7,4,8,5,2] => 0001111
[4,1,8,3,6,2,5,7] => [4,6,8,1,2,3,5,7] => [8,1,6,2,4,3,5,7] => 0010101
[5,7,8,6,3,2,1,4] => [2,3,6,1,5,8,7,4] => [5,7,8,6,3,2,1,4] => 1100101
[5,7,8,6,1,3,4,2] => [6,4,1,3,5,8,7,2] => [4,1,3,5,7,8,6,2] => 0010101
[7,6,5,8,1,3,4,2] => [8,4,1,3,6,7,5,2] => [4,1,3,7,6,5,8,2] => 0010111
[2,4,5,1,7,8,6,3] => [5,2,6,4,1,8,7,3] => [2,4,7,8,6,1,5,3] => 0001101
[2,6,3,4,5,8,1,7] => [8,2,6,3,4,5,1,7] => [2,6,3,4,5,8,1,7] => 0000101
[2,6,4,1,8,3,7,5] => [4,2,6,8,7,3,1,5] => [2,7,3,8,4,1,6,5] => 0010111
[7,2,1,4,8,3,5,6] => [2,7,8,1,3,5,4,6] => [8,2,1,5,7,3,4,6] => 1000011
[7,2,5,6,3,8,1,4] => [8,7,6,1,2,5,3,4] => [6,1,5,7,2,8,3,4] => 0000111
[5,6,7,4,2,8,1,3] => [8,4,1,7,5,6,2,3] => [5,6,7,4,1,8,2,3] => 0010011
[5,7,6,4,1,8,3,2] => [4,3,6,7,5,8,1,2] => [5,8,3,1,7,6,4,2] => 0110111
[6,7,1,5,2,8,3,4] => [7,5,8,3,1,6,2,4] => [6,8,3,5,1,7,2,4] => 0001011
[7,1,5,3,4,2,8,6] => [7,4,5,3,1,8,2,6] => [5,3,4,1,8,2,7,6] => 0011011
[7,6,1,5,3,2,8,4] => [6,3,5,7,4,8,2,1] => [8,4,5,3,2,7,6,1] => 0101111
[7,5,6,4,1,2,8,3] => [4,1,6,8,7,5,3,2] => [7,5,8,3,6,4,1,2] => 0010111
[6,7,5,4,3,1,8,2] => [3,4,5,7,8,6,2,1] => [6,8,2,7,5,4,3,1] => 0111011
[7,4,6,1,2,5,3,8] => [6,1,5,7,2,4,3,8] => [7,1,2,5,4,6,3,8] => 0001110
[7,1,4,2,5,3,6,8] => [7,4,5,1,2,3,6,8] => [5,1,4,2,7,3,6,8] => 0011010
[7,4,2,6,5,1,3,8] => [5,4,2,6,7,1,3,8] => [7,4,2,6,5,1,3,8] => 0011110
[7,2,4,1,5,3,6,8] => [4,7,5,2,1,3,6,8] => [5,2,7,1,4,3,6,8] => 0011010
[1,5,7,2,3,8,6,4] => [1,7,2,6,5,8,3,4] => [1,5,8,6,2,3,7,4] => 0000111
[5,1,8,2,3,6,7,4] => [5,8,2,7,1,3,6,4] => [7,2,6,8,1,3,5,4] => 0001011
[5,8,2,3,7,6,4,1] => [4,6,2,7,5,8,3,1] => [5,8,2,3,7,6,4,1] => 0010111
[6,8,2,4,1,5,7,3] => [4,8,7,2,1,6,5,3] => [6,7,2,5,8,1,4,3] => 0010011
[6,8,3,1,2,4,7,5] => [3,1,8,2,7,6,4,5] => [6,7,3,1,2,4,8,5] => 0100011
[2,1,4,7,8,5,6,3] => [2,1,6,4,8,5,7,3] => [2,1,4,7,8,5,6,3] => 1000101
[2,5,7,8,1,4,6,3] => [8,2,6,1,5,4,7,3] => [2,5,6,1,4,7,8,3] => 0000101
[3,5,7,4,1,6,2,8] => [4,7,3,6,5,2,1,8] => [3,5,6,2,7,4,1,8] => 0010110
[5,2,8,4,6,1,7,3] => [6,5,7,8,2,4,1,3] => [8,2,7,4,5,1,6,3] => 0001111
[5,2,1,8,6,3,7,4] => [2,5,6,8,1,7,4,3] => [7,2,1,8,6,4,5,3] => 1001111
[4,2,8,5,7,6,3,1] => [3,6,4,1,7,8,2,5] => [4,1,8,3,2,7,6,5] => 0110111
[1,4,2,7,5,8,6,3] => [1,4,6,2,8,7,3,5] => [1,7,2,4,3,8,6,5] => 0010111
[4,1,8,6,7,5,3,2] => [4,3,5,1,7,8,6,2] => [8,6,7,5,3,1,4,2] => 0111011
[5,8,4,7,6,2,1,3] => [2,6,1,7,5,8,3,4] => [5,8,2,1,3,7,6,4] => 1000111
[5,8,7,4,3,6,1,2] => [6,1,4,7,5,3,8,2] => [5,8,7,4,3,6,1,2] => 0010111
[6,4,8,3,1,7,2,5] => [3,8,7,6,1,4,2,5] => [6,1,7,4,8,3,2,5] => 0100111
[5,1,3,8,6,7,2,4] => [5,7,1,2,3,8,6,4] => [8,6,7,1,5,2,3,4] => 0001011
[1,5,3,7,8,6,2,4] => [1,6,5,2,3,8,7,4] => [1,5,2,7,8,6,3,4] => 0001101
[6,4,8,1,2,7,3,5] => [8,1,7,6,3,4,2,5] => [6,3,7,4,8,1,2,5] => 0000111
[4,5,1,2,7,6,3,8] => [5,1,6,4,2,7,3,8] => [4,7,6,1,2,5,3,8] => 0001110
[3,5,6,1,8,4,7,2] => [6,7,3,8,5,1,4,2] => [3,5,8,1,7,4,6,2] => 0000111
[4,6,3,1,2,7,5,8] => [3,1,6,4,7,2,5,8] => [4,7,3,1,2,6,5,8] => 0100110
[3,5,2,7,8,1,6,4] => [8,5,3,6,2,1,7,4] => [3,6,2,5,1,7,8,4] => 0001101
[3,4,6,8,5,2,7,1] => [7,5,3,4,8,6,2,1] => [3,4,6,8,5,2,7,1] => 0001011
[4,2,5,6,1,8,7,3] => [6,4,7,2,5,1,8,3] => [5,8,7,2,4,1,6,3] => 0010111
[4,5,3,1,6,8,7,2] => [3,5,7,4,2,6,8,1] => [4,6,8,7,2,5,3,1] => 0101011
[2,1,7,5,8,6,4,3] => [2,1,4,6,8,7,3,5] => [2,1,7,4,3,8,6,5] => 1010111
[1,2,7,5,3,8,6,4] => [1,2,5,7,6,8,4,3] => [1,2,8,6,4,7,5,3] => 0001111
[4,1,2,7,3,8,6,5] => [4,1,7,2,6,8,3,5] => [8,6,1,2,4,3,7,5] => 0010111
[6,4,1,7,5,2,3,8] => [4,6,1,5,7,2,3,8] => [7,5,1,6,4,2,3,8] => 0011110
[3,7,1,2,5,4,8,6] => [7,1,3,5,2,8,4,6] => [3,5,1,2,8,4,7,6] => 0001011
[1,3,7,2,4,8,6,5] => [1,7,3,2,6,8,4,5] => [1,3,8,6,2,4,7,5] => 0000111
[5,2,8,1,3,7,4,6] => [8,5,1,7,2,4,3,6] => [7,1,5,4,8,2,3,6] => 0001011
[2,1,6,8,3,4,7,5] => [2,1,8,3,7,6,4,5] => [2,1,6,7,3,4,8,5] => 1000011
[2,6,8,3,1,5,7,4] => [3,2,8,7,1,6,5,4] => [2,6,7,3,1,5,8,4] => 0100011
[2,8,6,4,1,5,7,3] => [4,2,6,8,1,7,5,3] => [2,7,1,5,8,6,4,3] => 0010111
[6,3,7,4,5,1,8,2] => [5,8,6,7,4,3,1,2] => [7,4,6,3,8,1,5,2] => 0001111
[2,6,3,7,5,8,1,4] => [8,2,6,1,7,3,5,4] => [2,7,1,6,5,8,3,4] => 0000111
[5,2,7,3,6,8,1,4] => [8,5,7,1,2,3,6,4] => [7,1,5,2,6,8,3,4] => 0001011
[5,7,4,6,2,8,1,3] => [8,6,1,7,5,4,2,3] => [5,7,4,6,1,8,2,3] => 0000111
[5,3,8,4,6,1,7,2] => [6,7,5,8,3,4,1,2] => [8,3,5,4,7,1,6,2] => 0001111
[8,2,3,5,1,6,7,4] => [5,8,2,7,3,1,6,4] => [7,2,3,6,8,1,5,4] => 0001011
[4,2,8,3,6,7,1,5] => [7,4,8,2,1,3,6,5] => [8,2,4,1,6,7,3,5] => 0010011
[8,4,1,3,6,2,5,7] => [4,8,2,6,1,3,5,7] => [6,2,8,4,1,3,5,7] => 0010101
[4,8,3,1,7,2,5,6] => [3,8,7,4,1,5,2,6] => [4,7,1,5,8,3,2,6] => 0100011
[5,2,8,4,7,1,6,3] => [7,5,6,8,2,1,4,3] => [8,2,6,1,5,4,7,3] => 0001111
[5,8,4,7,3,1,6,2] => [3,7,6,8,5,2,4,1] => [5,8,2,6,4,7,3,1] => 0100111
[6,3,1,8,2,4,7,5] => [3,6,8,1,7,2,4,5] => [7,1,8,3,2,4,6,5] => 0100111
[5,3,8,1,2,6,4,7] => [8,1,5,6,3,2,4,7] => [6,3,5,1,2,8,4,7] => 0001101
[5,1,8,4,2,7,3,6] => [5,4,8,7,1,2,3,6] => [7,1,8,4,2,5,3,6] => 0011011
[1,6,2,8,5,3,7,4] => [1,6,5,8,7,2,4,3] => [1,7,2,8,5,4,6,3] => 0001111
[6,8,5,3,1,7,4,2] => [3,5,4,8,7,6,1,2] => [6,7,4,1,8,5,3,2] => 0111011
[5,6,3,7,1,2,4,8] => [7,1,6,2,5,3,4,8] => [5,6,1,2,7,3,4,8] => 0000110
[1,6,3,7,2,8,4,5] => [1,7,6,8,4,3,2,5] => [1,8,4,6,3,7,2,5] => 0000111
[6,3,2,7,8,5,1,4] => [5,3,8,2,6,1,7,4] => [6,3,2,7,8,5,1,4] => 0101101
[4,5,7,8,3,1,6,2] => [3,8,6,4,5,2,7,1] => [4,5,6,2,7,8,3,1] => 0100101
[3,8,2,4,6,7,1,5] => [7,8,3,2,1,4,6,5] => [3,8,2,6,7,1,4,5] => 0000011
[3,5,6,8,2,7,1,4] => [7,8,3,1,5,6,2,4] => [3,5,6,8,1,7,2,4] => 0000011
[4,8,3,5,6,1,7,2] => [6,7,8,4,3,5,1,2] => [4,8,3,5,7,1,6,2] => 0000111
[5,8,7,3,4,1,2,6] => [4,1,7,3,5,2,8,6] => [5,8,7,3,4,1,2,6] => 0010011
[6,8,4,7,1,5,3,2] => [7,3,5,8,1,6,4,2] => [6,8,3,1,5,4,7,2] => 0101011
[5,4,8,7,1,6,3,2] => [7,3,6,5,4,1,8,2] => [5,4,6,3,1,8,7,2] => 0101111
[5,3,8,7,6,1,2,4] => [6,1,5,2,3,7,8,4] => [5,1,2,8,7,6,3,4] => 0001111
[4,3,8,7,6,1,2,5] => [6,1,4,3,2,7,8,5] => [4,3,8,7,6,1,2,5] => 0010111
[4,8,3,7,5,1,2,6] => [5,1,7,4,8,3,2,6] => [4,8,3,7,5,1,2,6] => 0001011
[3,8,4,7,5,1,2,6] => [5,1,3,7,8,4,2,6] => [3,8,4,7,5,1,2,6] => 0001011
[3,4,8,7,6,1,2,5] => [6,1,3,4,2,7,8,5] => [3,4,8,7,6,1,2,5] => 0000111
[3,5,8,7,6,1,2,4] => [6,1,3,2,5,7,8,4] => [3,5,8,7,6,1,2,4] => 0000111
[4,5,8,7,6,1,2,3] => [6,1,2,4,5,7,8,3] => [4,5,8,7,6,1,2,3] => 0000111
[3,5,8,2,7,6,4,1] => [4,6,3,7,5,8,2,1] => [3,5,8,2,7,6,4,1] => 0010111
[8,1,4,6,2,5,3,7] => [8,6,5,1,2,4,3,7] => [5,1,6,2,4,8,3,7] => 0001101
[1,8,4,7,2,5,3,6] => [1,7,5,8,2,3,4,6] => [1,8,2,5,3,7,4,6] => 0001011
[1,4,8,7,2,6,3,5] => [1,7,6,4,3,2,8,5] => [1,4,6,3,8,7,2,5] => 0000111
[1,5,8,2,7,6,4,3] => [1,8,4,6,5,7,2,3] => [1,5,7,6,4,2,8,3] => 0010111
[2,5,8,3,7,6,4,1] => [4,2,6,7,5,8,3,1] => [2,5,8,3,7,6,4,1] => 0010111
[1,4,2,8,7,6,5,3] => [1,4,5,2,6,7,8,3] => [1,8,7,6,5,2,4,3] => 0011111
[1,3,8,2,7,6,4,5] => [1,8,3,6,4,7,2,5] => [1,3,7,6,4,8,2,5] => 0000111
[1,8,3,2,7,5,4,6] => [1,3,8,5,7,4,2,6] => [1,7,5,4,8,3,2,6] => 0101011
[8,1,3,2,6,5,4,7] => [8,3,1,5,6,2,4,7] => [3,1,6,5,2,8,4,7] => 0101101
[3,4,1,8,7,6,5,2] => [4,5,3,1,6,7,8,2] => [3,8,7,6,5,1,4,2] => 0011111
[4,3,1,8,7,6,5,2] => [3,4,5,2,6,7,8,1] => [8,7,6,5,2,4,3,1] => 0111111
[4,2,1,8,7,6,5,3] => [2,4,5,1,6,7,8,3] => [8,7,6,5,2,1,4,3] => 1011111
[5,2,8,1,7,6,4,3] => [8,5,4,6,2,7,1,3] => [7,6,4,2,5,1,8,3] => 0011111
[5,3,8,2,7,6,4,1] => [4,6,7,5,1,8,2,3] => [5,1,8,2,7,6,4,3] => 0011111
[6,8,3,2,7,5,4,1] => [4,3,5,7,8,6,2,1] => [6,8,3,2,7,5,4,1] => 0111011
[6,8,2,7,1,5,3,4] => [7,8,5,3,1,6,2,4] => [5,3,6,8,1,7,2,4] => 0001011
[6,8,7,2,1,4,3,5] => [2,7,4,1,3,6,8,5] => [4,2,1,6,8,7,3,5] => 1010011
[5,8,7,1,2,4,3,6] => [7,1,4,2,5,3,8,6] => [4,1,2,5,8,7,3,6] => 0010011
[6,8,1,2,7,5,4,3] => [8,1,4,5,7,6,2,3] => [6,7,5,4,1,2,8,3] => 0011011
[6,8,2,3,7,5,4,1] => [4,5,2,7,8,6,3,1] => [6,8,2,3,7,5,4,1] => 0011011
[5,1,8,3,7,6,4,2] => [5,4,6,7,1,8,3,2] => [8,1,7,6,4,3,5,2] => 0011111
[8,4,1,6,2,5,3,7] => [4,8,6,5,3,2,1,7] => [5,3,6,2,8,4,1,7] => 0011101
[8,3,1,2,6,5,4,7] => [3,1,8,5,6,2,4,7] => [6,5,3,1,2,8,4,7] => 0101101
[3,8,1,2,7,5,4,6] => [8,1,3,5,7,4,2,6] => [3,7,5,4,8,1,2,6] => 0001011
[3,1,2,8,7,6,5,4] => [3,1,2,5,6,7,8,4] => [3,1,2,8,7,6,5,4] => 0101111
[4,1,3,8,7,6,5,2] => [4,5,1,3,6,7,8,2] => [8,7,6,5,1,3,4,2] => 0011111
[3,1,4,8,7,6,5,2] => [3,5,1,4,6,7,8,2] => [4,8,7,6,5,1,3,2] => 0101111
[8,2,1,3,6,5,4,7] => [2,8,1,5,6,3,4,7] => [6,5,2,1,3,8,4,7] => 1001101
[8,1,2,3,6,5,4,7] => [8,1,2,5,6,3,4,7] => [6,5,1,2,3,8,4,7] => 0001101
[1,4,5,2,8,3,7,6] => [1,5,8,4,2,7,3,6] => [1,4,7,2,5,3,8,6] => 0001011
[1,4,2,6,5,8,3,7] => [1,4,8,2,6,5,3,7] => [1,6,5,8,2,4,3,7] => 0010101
[1,5,4,2,6,8,3,7] => [1,4,5,8,3,6,2,7] => [1,6,8,3,5,4,2,7] => 0011001
[1,5,2,6,4,8,3,7] => [1,5,8,6,2,4,3,7] => [1,6,2,8,4,5,3,7] => 0001101
[1,2,5,4,7,3,8,6] => [1,2,7,5,4,8,3,6] => [1,2,5,4,8,3,7,6] => 0001011
[4,1,2,6,3,8,7,5] => [4,1,6,2,7,3,8,5] => [8,7,1,2,4,3,6,5] => 0010111
[7,1,5,4,2,8,3,6] => [7,4,5,8,1,2,3,6] => [8,1,5,4,2,7,3,6] => 0011011
[1,4,7,5,2,8,3,6] => [1,5,7,4,8,2,3,6] => [1,4,8,2,7,5,3,6] => 0001011
[7,1,3,5,2,8,4,6] => [7,5,1,8,3,4,2,6] => [8,1,3,5,4,7,2,6] => 0001011
[1,4,2,8,3,7,6,5] => [1,4,8,2,6,7,3,5] => [1,7,6,2,4,3,8,5] => 0010111
[1,2,5,3,8,7,6,4] => [1,2,5,6,3,7,8,4] => [1,2,8,7,6,3,5,4] => 0001111
[1,2,8,6,5,3,7,4] => [1,2,5,6,8,7,3,4] => [1,2,7,3,8,6,5,4] => 0001111
[1,5,2,8,6,3,7,4] => [1,5,6,8,2,7,4,3] => [1,7,2,8,6,4,5,3] => 0001111
[6,2,1,8,7,3,4,5] => [2,6,7,3,4,1,8,5] => [8,7,3,4,6,2,1,5] => 1000111
[7,6,2,1,8,3,4,5] => [2,6,7,1,4,8,3,5] => [8,2,1,4,7,6,3,5] => 1000111
[7,3,1,6,2,8,4,5] => [3,7,6,8,4,2,1,5] => [8,4,6,2,7,3,1,5] => 0100111
[1,7,5,2,6,3,8,4] => [1,5,7,6,8,3,4,2] => [1,8,3,6,4,7,5,2] => 0001111
[1,6,2,7,5,3,8,4] => [1,6,5,7,8,2,4,3] => [1,8,2,7,5,4,6,3] => 0001111
[1,2,7,6,5,3,8,4] => [1,2,5,6,7,8,3,4] => [1,2,8,3,7,6,5,4] => 0001111
[1,2,6,5,3,8,7,4] => [1,2,5,6,7,4,8,3] => [1,2,8,7,4,6,5,3] => 0001111
[1,5,2,6,3,8,7,4] => [1,5,6,7,2,3,8,4] => [1,8,7,2,6,3,5,4] => 0001111
[1,5,2,7,6,3,8,4] => [1,5,6,7,2,8,4,3] => [1,8,2,7,6,4,5,3] => 0001111
[1,6,5,2,7,3,8,4] => [1,5,6,7,8,3,4,2] => [1,8,3,7,4,6,5,2] => 0001111
[1,5,7,4,2,8,3,6] => [1,4,7,8,5,2,3,6] => [1,5,8,2,7,4,3,6] => 0010011
[4,1,2,8,6,3,7,5] => [4,1,6,2,8,7,5,3] => [7,5,8,6,1,2,4,3] => 0010111
[4,3,7,1,8,2,5,6] => [7,8,4,3,2,5,1,6] => [4,3,8,2,5,7,1,6] => 0010011
[8,3,1,6,2,4,7,5] => [3,8,6,1,7,2,4,5] => [7,1,6,3,2,4,8,5] => 0100111
[1,8,7,3,2,4,6,5] => [1,3,7,2,6,4,8,5] => [1,6,3,2,4,8,7,5] => 0100111
[1,4,8,5,2,7,3,6] => [1,5,8,4,7,2,3,6] => [1,4,7,2,8,5,3,6] => 0001011
[1,5,2,7,3,8,6,4] => [1,5,7,6,2,8,3,4] => [1,8,6,2,7,3,5,4] => 0001111
[1,2,8,5,3,7,6,4] => [1,2,5,8,6,7,4,3] => [1,2,7,6,4,8,5,3] => 0001111
[1,2,6,3,8,7,5,4] => [1,2,6,5,7,3,8,4] => [1,2,8,7,5,3,6,4] => 0001111
[1,2,7,6,3,8,5,4] => [1,2,6,5,7,8,4,3] => [1,2,8,5,4,7,6,3] => 0001111
[1,6,2,7,3,8,5,4] => [1,6,7,5,8,2,3,4] => [1,8,5,2,7,3,6,4] => 0001111
[1,7,2,8,5,3,6,4] => [1,7,5,8,6,4,2,3] => [1,6,4,8,5,2,7,3] => 0001111
[1,7,4,2,8,6,3,5] => [1,4,7,6,2,8,3,5] => [1,8,6,2,7,4,3,5] => 0010111
[1,4,2,8,7,6,3,5] => [1,4,6,2,3,7,8,5] => [1,8,7,6,2,4,3,5] => 0010111
[1,2,8,7,5,3,6,4] => [1,2,5,7,6,4,8,3] => [1,2,6,4,8,7,5,3] => 0001111
[1,2,8,6,3,7,5,4] => [1,2,6,5,8,7,4,3] => [1,2,7,5,4,8,6,3] => 0001111
[1,2,7,3,8,6,5,4] => [1,2,7,5,6,8,3,4] => [1,2,8,6,5,3,7,4] => 0001111
[5,7,8,6,2,4,1,3] => [4,6,1,2,5,8,7,3] => [5,7,8,6,1,4,2,3] => 0010101
[6,4,1,5,2,7,3,8] => [4,6,5,7,2,3,1,8] => [7,2,5,3,6,4,1,8] => 0011110
[6,1,4,5,3,8,7,2] => [6,7,5,1,4,3,8,2] => [5,1,4,8,7,3,6,2] => 0001111
[6,1,4,8,3,5,7,2] => [6,7,8,1,3,4,5,2] => [8,1,7,3,4,5,6,2] => 0000111
[7,1,8,6,3,4,5,2] => [7,5,6,3,4,8,1,2] => [8,6,3,4,5,1,7,2] => 0001111
[7,1,4,5,3,8,6,2] => [7,6,5,1,4,8,3,2] => [5,1,4,8,6,3,7,2] => 0001111
[7,4,1,5,2,6,3,8] => [4,7,5,6,2,3,1,8] => [6,2,5,3,7,4,1,8] => 0011110
[6,3,5,7,2,1,4,8] => [2,7,6,1,3,5,4,8] => [6,2,1,5,7,3,4,8] => 1000110
[5,8,7,6,2,4,1,3] => [4,6,1,2,5,7,8,3] => [5,8,7,6,1,4,2,3] => 0010111
[5,4,8,6,3,1,7,2] => [3,6,8,5,4,7,1,2] => [5,4,7,1,8,6,3,2] => 0101111
[5,8,1,6,2,4,3,7] => [8,6,4,2,5,1,3,7] => [4,2,5,6,1,8,3,7] => 0010101
[6,3,5,8,2,1,4,7] => [2,8,6,1,3,5,4,7] => [6,2,1,5,8,3,4,7] => 1000101
[2,3,4,1,8,6,5,7] => [4,2,3,1,6,8,5,7] => [2,3,4,1,8,6,5,7] => 0010101
[2,8,6,7,1,3,5,4] => [7,2,1,5,3,8,6,4] => [2,5,1,3,8,6,7,4] => 0001011
[8,3,5,7,2,1,6,4] => [2,7,8,6,3,1,5,4] => [6,3,8,2,1,5,7,4] => 1000111
[2,3,8,5,6,1,7,4] => [6,2,3,7,8,5,1,4] => [2,3,8,5,7,1,6,4] => 0000111
[8,4,5,6,3,1,7,2] => [3,6,7,8,4,5,2,1] => [8,4,5,7,2,6,3,1] => 0100111
[7,3,5,6,2,1,4,8] => [2,6,7,1,3,5,4,8] => [7,2,1,5,6,3,4,8] => 1000110
[2,7,6,8,1,3,5,4] => [8,2,1,5,3,7,6,4] => [2,5,1,3,7,6,8,4] => 0001011
[2,6,4,1,8,5,7,3] => [4,2,6,7,8,3,5,1] => [2,8,3,7,5,6,4,1] => 0010111
[2,6,1,3,8,5,7,4] => [6,2,1,7,8,3,5,4] => [2,8,1,3,7,5,6,4] => 0000111
[7,3,5,1,2,8,4,6] => [5,1,7,8,3,4,2,6] => [8,3,7,4,5,1,2,6] => 0001011
[8,4,1,5,2,3,7,6] => [4,8,1,5,2,7,3,6] => [5,1,7,4,2,3,8,6] => 0011011
[7,8,1,6,3,4,2,5] => [8,4,6,3,2,1,7,5] => [6,3,4,2,7,8,1,5] => 0010101
[2,8,6,7,4,3,1,5] => [3,2,4,7,1,8,6,5] => [2,8,6,7,4,3,1,5] => 0110011
[8,3,5,7,2,4,1,6] => [4,7,8,2,3,1,5,6] => [8,2,7,3,4,1,5,6] => 0010011
[2,3,4,1,8,7,5,6] => [4,2,3,1,7,5,8,6] => [2,3,4,1,8,7,5,6] => 0010011
[2,3,8,1,6,4,7,5] => [8,2,3,6,7,1,4,5] => [2,3,7,1,6,4,8,5] => 0000111
[2,8,6,1,4,3,5,7] => [6,2,4,1,3,8,5,7] => [2,4,1,8,6,3,5,7] => 0010101
[1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => 00000001
[2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => 10000000
[1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => 000000001
[2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => 0000000001
[9,1,2,3,4,5,6,7,10,8] => [9,1,2,3,4,5,6,10,7,8] => [10,1,2,3,4,5,6,7,9,8] => 000000011
[1,8,2,3,4,5,6,9,7] => [1,8,2,3,4,5,9,6,7] => [1,9,2,3,4,5,6,8,7] => 00000011
[7,1,2,3,4,5,6,9,8] => [7,1,2,3,4,5,6,9,8] => [7,1,2,3,4,5,6,9,8] => 00000101
[2,1,9,3,4,5,6,7,8] => [2,1,9,3,4,5,6,7,8] => [2,1,9,3,4,5,6,7,8] => 10000001
[2,8,1,3,4,5,6,7,9] => [8,2,1,3,4,5,6,7,9] => [2,8,1,3,4,5,6,7,9] => 00000010
[2,10,1,3,4,5,6,7,8,9] => [10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => 000000001
[2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => 1000000000
[8,4,3,6,5,1,7,2] => [5,6,4,7,8,1,2,3] => [8,4,1,7,2,6,5,3] => 0011111
[8,6,5,4,3,1,7,2] => [3,4,5,6,8,7,1,2] => [7,1,8,6,5,4,3,2] => 0111111
[1,7,6,5,4,2,3,8] => [1,4,2,5,6,7,3,8] => [1,7,6,5,4,2,3,8] => 0011110
[8,7,5,4,1,6,3,2] => [4,3,5,7,6,1,8,2] => [6,3,1,8,7,5,4,2] => 0111111
[7,8,5,4,1,3,6,2] => [4,5,1,8,6,3,7,2] => [6,1,3,7,8,5,4,2] => 0011101
[6,8,5,4,2,1,7,3] => [2,4,5,8,7,6,1,3] => [6,7,2,1,8,5,4,3] => 1011011
[5,8,6,2,4,1,7,3] => [4,6,8,3,5,7,1,2] => [5,7,3,8,6,1,4,2] => 0010111
[4,8,2,6,5,1,7,3] => [5,6,8,4,7,3,2,1] => [4,7,3,8,2,6,5,1] => 0001111
[3,2,8,6,5,1,7,4] => [5,3,2,6,8,7,1,4] => [3,2,7,1,8,6,5,4] => 0101111
[3,2,1,7,6,4,5,8] => [2,3,1,6,4,7,5,8] => [3,2,1,7,6,4,5,8] => 1100110
[4,1,3,7,6,2,5,8] => [4,6,1,3,2,7,5,8] => [7,6,1,3,4,2,5,8] => 0010110
[5,1,7,3,6,2,4,8] => [5,6,7,2,1,3,4,8] => [7,2,6,1,5,3,4,8] => 0001110
[6,1,7,5,3,2,4,8] => [6,3,5,2,7,1,4,8] => [7,5,3,2,6,1,4,8] => 0101110
[7,1,6,5,2,4,3,8] => [7,5,4,2,6,1,3,8] => [4,2,6,5,1,7,3,8] => 0011110
[1,2,7,6,3,4,5,8] => [1,2,6,3,4,7,5,8] => [1,2,7,6,3,4,5,8] => 0000110
[1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => [1,2,7,4,5,8,3,6] => 0000011
[8,1,7,2,6,3,5,4] => [8,7,6,5,3,2,1,4] => [5,3,6,2,7,1,8,4] => 0001111
[7,1,8,2,6,4,3,5] => [7,8,4,6,3,2,1,5] => [6,4,3,8,2,7,1,5] => 0010111
[6,1,8,2,4,7,3,5] => [6,8,7,2,3,1,4,5] => [7,2,8,3,6,1,4,5] => 0000111
[4,1,3,8,2,7,5,6] => [4,8,1,3,7,5,2,6] => [7,5,8,1,3,4,2,6] => 0010011
[3,2,1,8,4,7,5,6] => [2,3,1,8,7,5,4,6] => [3,2,1,7,5,8,4,6] => 1100011
[3,2,8,7,1,6,5,4] => [7,3,2,5,6,1,8,4] => [3,2,6,5,1,8,7,4] => 0101111
[6,8,7,1,3,5,4,2] => [7,4,1,5,3,6,8,2] => [5,4,1,3,6,8,7,2] => 0011011
[7,8,6,1,5,3,4,2] => [6,4,5,3,1,8,7,2] => [5,3,4,1,7,8,6,2] => 0011101
[8,7,6,1,5,4,3,2] => [6,3,4,5,1,7,8,2] => [5,4,3,1,8,7,6,2] => 0111111
[1,7,8,2,5,6,3,4] => [1,8,6,3,2,5,7,4] => [1,6,3,5,7,8,2,4] => 0000101
[8,6,7,1,4,5,3,2] => [7,3,5,1,4,8,6,2] => [5,3,1,4,8,6,7,2] => 0101011
[7,6,8,1,4,3,5,2] => [8,5,4,1,3,7,6,2] => [4,1,5,3,7,6,8,2] => 0011011
[8,5,7,3,1,6,4,2] => [3,7,4,6,8,2,5,1] => [8,4,2,6,5,7,3,1] => 0110111
[1,6,8,4,2,7,3,5] => [1,4,8,7,2,6,3,5] => [1,6,7,2,8,4,3,5] => 0010011
[1,5,4,8,2,7,3,6] => [1,8,7,5,4,3,2,6] => [1,5,4,7,3,8,2,6] => 0001011
[8,4,3,7,1,6,5,2] => [7,5,4,6,8,1,2,3] => [8,4,1,6,5,2,7,3] => 0011111
[7,4,3,8,1,5,6,2] => [8,6,4,7,1,5,3,2] => [7,4,1,5,6,3,8,2] => 0010111
[6,4,3,1,5,2,7,8] => [3,4,6,5,1,2,7,8] => [5,1,6,4,3,2,7,8] => 0111100
[7,4,3,1,2,6,5,8] => [3,1,4,7,6,2,5,8] => [6,4,3,1,2,7,5,8] => 0110110
[1,5,4,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [1,5,4,2,3,6,7,8] => 0011000
[6,5,1,4,3,2,7,8] => [5,3,4,1,6,2,7,8] => [4,3,1,6,5,2,7,8] => 0111100
[3,2,6,1,5,4,7,8] => [6,3,2,5,1,4,7,8] => [3,2,5,1,6,4,7,8] => 0101100
[3,2,7,1,4,6,5,8] => [7,3,2,1,6,4,5,8] => [3,2,6,1,4,7,5,8] => 0100110
[4,7,2,1,3,6,5,8] => [2,7,1,4,6,3,5,8] => [4,6,2,1,3,7,5,8] => 1000110
[7,6,1,2,5,4,3,8] => [6,1,4,5,2,7,3,8] => [5,4,1,2,7,6,3,8] => 0011110
[8,7,1,2,3,6,5,4] => [7,1,2,5,6,3,8,4] => [6,5,1,2,3,8,7,4] => 0001111
[7,8,1,2,3,5,6,4] => [8,1,2,6,3,5,7,4] => [6,1,2,3,5,7,8,4] => 0000101
[6,8,1,2,4,3,7,5] => [8,1,4,2,7,6,3,5] => [4,1,2,6,7,3,8,5] => 0010011
[5,8,1,3,2,4,7,6] => [8,3,1,2,5,7,4,6] => [3,1,5,7,2,4,8,6] => 0100011
[4,8,2,1,3,5,7,6] => [2,8,1,4,3,7,5,6] => [4,7,2,1,3,5,8,6] => 1000011
[3,2,8,1,4,5,7,6] => [8,3,2,1,4,7,5,6] => [3,2,7,1,4,5,8,6] => 0100011
[4,1,3,2,5,6,7,8] => [4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => 0110000
[5,1,2,4,3,6,7,8] => [5,1,4,2,3,6,7,8] => [4,1,2,5,3,6,7,8] => 0011000
[6,1,2,3,5,4,7,8] => [6,1,2,5,3,4,7,8] => [5,1,2,3,6,4,7,8] => 0001100
[7,1,2,3,4,6,5,8] => [7,1,2,3,6,4,5,8] => [6,1,2,3,4,7,5,8] => 0000110
[8,1,2,3,4,5,7,6] => [8,1,2,3,4,7,5,6] => [7,1,2,3,4,5,8,6] => 0000011
[6,7,3,8,5,1,2,4] => [5,1,8,3,7,6,2,4] => [6,7,3,8,5,1,2,4] => 0001011
[6,7,4,5,1,8,3,2] => [5,3,8,7,4,6,1,2] => [6,7,4,8,3,1,5,2] => 0101011
[4,5,6,7,1,8,3,2] => [7,3,8,4,5,6,1,2] => [4,5,6,8,3,1,7,2] => 0100011
[3,5,6,2,7,4,8,1] => [8,6,3,7,5,2,4,1] => [3,5,7,2,6,4,8,1] => 0000111
[3,5,6,1,7,8,4,2] => [6,4,3,8,5,1,7,2] => [3,5,7,8,4,1,6,2] => 0010101
[8,2,4,5,1,6,3,7] => [5,8,6,2,4,1,3,7] => [6,2,4,8,1,5,3,7] => 0001101
[1,4,8,6,2,3,7,5] => [1,6,2,4,8,7,5,3] => [1,4,7,5,8,6,2,3] => 0000111
[1,5,6,8,2,3,7,4] => [1,8,2,7,5,6,3,4] => [1,5,6,7,2,3,8,4] => 0000011
[8,1,3,2,5,4,6,7] => [8,3,1,5,2,4,6,7] => [3,1,5,2,8,4,6,7] => 0101001
[2,8,3,1,5,7,4,6] => [3,2,8,7,1,4,5,6] => [2,7,3,1,8,4,5,6] => 0100011
[2,4,1,6,8,7,5,3] => [4,2,5,1,7,6,8,3] => [2,6,8,7,5,1,4,3] => 0011011
[3,4,1,6,7,8,5,2] => [4,5,3,1,8,6,7,2] => [3,6,7,8,5,1,4,2] => 0011001
[5,3,7,2,6,4,8,1] => [8,7,5,6,3,2,4,1] => [6,3,5,2,7,4,8,1] => 0001111
[6,7,3,1,5,8,4,2] => [3,7,4,8,2,6,5,1] => [6,8,4,2,5,7,3,1] => 0110011
[6,7,8,2,1,4,3,5] => [2,8,4,1,3,6,7,5] => [4,2,1,6,7,8,3,5] => 1010001
[6,7,1,2,8,4,5,3] => [7,1,5,8,4,6,2,3] => [6,8,4,5,1,2,7,3] => 0001011
[6,7,1,3,4,8,5,2] => [7,5,1,3,8,6,4,2] => [6,8,5,1,3,4,7,2] => 0001011
[5,1,7,8,2,3,6,4] => [5,8,2,6,1,3,7,4] => [6,2,7,8,1,3,5,4] => 0001101
[4,1,8,7,2,3,6,5] => [4,7,2,1,6,3,8,5] => [6,2,4,1,3,8,7,5] => 0010111
[2,1,8,3,4,7,6,5] => [2,1,8,3,6,7,4,5] => [2,1,7,6,3,4,8,5] => 1000111
[1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => [1,7,2,3,4,5,8,6] => 0000011
[4,2,1,6,5,8,7,3] => [2,4,7,1,6,5,8,3] => [6,5,8,7,2,1,4,3] => 1010111
[5,2,7,4,8,6,1,3] => [6,5,1,8,2,7,3,4] => [7,1,5,2,3,8,6,4] => 0001111
[5,7,2,3,8,1,6,4] => [8,7,2,6,5,1,3,4] => [5,6,2,7,1,3,8,4] => 0000111
[5,6,1,3,2,8,7,4] => [6,3,1,7,5,2,8,4] => [3,1,5,8,7,2,6,4] => 0100111
[5,6,3,2,1,8,7,4] => [2,3,6,7,5,1,8,4] => [5,8,7,3,2,1,6,4] => 1100111
[5,7,1,3,8,2,6,4] => [7,8,1,6,5,2,3,4] => [5,6,1,8,2,3,7,4] => 0000111
[5,1,7,4,8,2,6,3] => [5,8,6,7,1,2,4,3] => [7,1,6,2,8,4,5,3] => 0001111
[1,5,7,4,8,6,3,2] => [1,3,6,8,5,7,2,4] => [1,5,7,3,2,8,6,4] => 0100111
[5,7,1,3,8,6,2,4] => [7,6,1,2,5,8,3,4] => [5,8,6,1,7,2,3,4] => 0000111
[5,7,3,1,8,6,2,4] => [3,7,6,1,5,8,2,4] => [5,8,6,1,7,3,2,4] => 0100111
[6,7,3,8,1,5,2,4] => [8,5,7,2,1,6,3,4] => [6,7,2,5,1,8,3,4] => 0001011
[6,7,3,8,5,2,1,4] => [2,5,8,3,7,6,1,4] => [6,7,3,8,5,2,1,4] => 1001011
[6,7,8,3,1,4,2,5] => [3,8,4,2,1,6,7,5] => [4,2,6,7,8,3,1,5] => 0110001
[1,6,7,8,4,5,3,2] => [1,3,5,8,4,6,7,2] => [1,6,7,8,4,5,3,2] => 0101001
[6,1,7,8,4,2,5,3] => [6,4,8,5,3,1,7,2] => [5,3,7,8,4,1,6,2] => 0011101
[5,7,2,1,8,3,6,4] => [2,7,8,6,5,3,1,4] => [5,6,3,8,2,1,7,4] => 1000111
[5,2,7,1,8,4,6,3] => [7,5,6,8,2,4,1,3] => [8,2,6,4,5,1,7,3] => 0001111
[4,2,1,7,8,5,6,3] => [2,4,6,1,8,5,7,3] => [7,8,5,6,2,1,4,3] => 1010101
[4,1,2,7,8,6,5,3] => [4,1,5,2,6,8,7,3] => [7,8,6,5,1,2,4,3] => 0011101
[6,2,7,8,5,4,1,3] => [4,5,1,8,6,2,7,3] => [6,1,7,8,5,4,2,3] => 0011101
[6,7,2,8,5,3,1,4] => [3,5,8,1,7,6,2,4] => [6,7,1,8,5,3,2,4] => 0101011
[5,7,1,2,8,6,3,4] => [7,1,6,3,5,8,2,4] => [5,8,6,3,7,1,2,4] => 0000111
[5,1,7,2,8,6,4,3] => [5,7,4,6,1,8,2,3] => [8,6,4,1,7,2,5,3] => 0011111
[1,5,7,3,8,6,4,2] => [1,4,6,8,5,7,3,2] => [1,5,7,3,8,6,4,2] => 0010111
[6,1,7,8,2,5,4,3] => [6,8,4,5,2,1,7,3] => [5,4,2,7,8,1,6,3] => 0011101
[6,7,1,8,2,5,3,4] => [7,8,5,3,2,6,1,4] => [5,3,6,8,2,7,1,4] => 0001011
[6,7,8,2,4,3,1,5] => [3,4,8,1,2,6,7,5] => [6,7,8,1,4,3,2,5] => 0110001
[1,6,7,8,5,3,4,2] => [1,4,5,3,8,6,7,2] => [1,6,7,8,5,3,4,2] => 0011001
[6,7,8,4,1,3,2,5] => [4,3,1,8,2,6,7,5] => [3,1,6,7,8,4,2,5] => 0110001
[6,3,8,5,2,7,4,1] => [4,7,5,8,6,3,1,2] => [6,3,8,5,1,7,4,2] => 0011111
[6,3,4,5,8,7,2,1] => [2,7,6,3,4,5,8,1] => [6,3,4,5,8,7,2,1] => 1000111
[5,8,1,4,7,2,3,6] => [8,7,2,1,5,3,4,6] => [5,7,2,8,1,3,4,6] => 0000011
[5,6,1,4,8,7,3,2] => [6,3,7,1,5,4,8,2] => [5,8,7,3,1,4,6,2] => 0100111
[3,4,7,1,8,6,5,2] => [7,5,3,4,6,8,1,2] => [3,4,8,6,5,1,7,2] => 0001111
[6,3,8,4,2,7,1,5] => [7,4,8,6,1,2,3,5] => [6,1,8,4,2,7,3,5] => 0010111
[4,3,8,5,6,7,2,1] => [2,7,4,3,8,5,6,1] => [4,3,8,5,6,7,2,1] => 1010011
[5,8,1,7,6,2,4,3] => [8,6,4,2,5,7,1,3] => [4,2,5,7,6,1,8,3] => 0010111
[6,3,7,5,2,8,1,4] => [8,5,7,1,6,2,3,4] => [6,1,7,5,2,8,3,4] => 0001111
[6,5,2,7,4,8,1,3] => [8,5,1,6,7,4,2,3] => [7,4,6,5,1,8,2,3] => 0001111
[5,7,1,4,8,3,2,6] => [7,3,8,1,5,2,4,6] => [5,8,3,1,7,2,4,6] => 0100011
[7,8,3,5,1,4,6,2] => [5,6,8,1,3,4,7,2] => [7,8,1,6,3,4,5,2] => 0001101
[5,8,1,4,6,7,2,3] => [8,7,2,1,5,4,6,3] => [5,7,2,4,6,8,1,3] => 0000011
[6,5,8,4,3,7,2,1] => [2,7,4,8,6,5,3,1] => [6,5,8,4,3,7,2,1] => 1010111
[6,3,7,4,2,8,5,1] => [5,4,8,7,6,1,2,3] => [6,1,7,4,2,8,5,3] => 0011111
[4,3,8,7,1,5,6,2] => [7,6,4,3,1,5,8,2] => [4,3,6,1,5,8,7,2] => 0010111
[8,3,6,1,2,5,7,4] => [6,1,8,7,2,3,5,4] => [7,1,2,8,3,5,6,4] => 0000111
[5,6,1,8,7,3,2,4] => [6,3,7,2,5,1,8,4] => [5,8,7,3,2,6,1,4] => 0100111
[8,5,2,6,4,7,3,1] => [3,7,5,8,6,4,1,2] => [6,4,8,5,1,7,3,2] => 0101111
[8,2,6,3,4,7,5,1] => [5,7,8,1,6,3,4,2] => [6,1,8,3,4,7,5,2] => 0001111
[7,2,6,3,5,4,8,1] => [8,7,6,5,3,2,4,1] => [5,3,6,2,7,4,8,1] => 0001111
[6,2,7,4,3,5,8,1] => [8,6,4,7,3,2,5,1] => [7,4,3,6,2,5,8,1] => 0010111
[3,7,6,4,5,2,8,1] => [8,5,3,6,4,7,2,1] => [3,7,6,4,5,2,8,1] => 0001111
[2,7,6,5,3,4,8,1] => [8,2,5,3,6,7,4,1] => [2,7,6,5,3,4,8,1] => 0001111
[6,5,4,3,1,8,2,7] => [3,4,5,6,8,2,1,7] => [8,2,6,5,4,3,1,7] => 0111101
[8,5,4,1,7,2,6,3] => [4,5,8,7,6,1,3,2] => [6,1,7,3,8,5,4,2] => 0011111
[1,6,5,2,8,3,4,7] => [1,5,6,2,8,3,4,7] => [1,8,2,6,5,3,4,7] => 0001101
[5,7,4,2,1,8,3,6] => [2,4,7,8,5,1,3,6] => [5,8,2,1,7,4,3,6] => 1010011
[1,6,5,3,4,8,2,7] => [1,8,5,3,6,4,2,7] => [1,6,5,3,4,8,2,7] => 0001101
[6,5,8,4,2,7,3,1] => [3,7,4,8,6,5,1,2] => [6,5,8,4,1,7,3,2] => 0110111
[3,8,6,2,5,7,4,1] => [4,7,3,6,1,8,5,2] => [3,8,6,1,5,7,4,2] => 0010111
[7,8,5,3,2,6,4,1] => [4,3,6,5,8,1,7,2] => [7,8,5,3,1,6,4,2] => 0111101
[1,8,6,3,7,5,2,4] => [1,5,7,3,6,8,2,4] => [1,8,6,3,7,5,2,4] => 0001111
[8,7,5,2,6,4,3,1] => [3,4,6,5,7,2,8,1] => [8,7,5,2,6,4,3,1] => 0111111
[8,7,1,6,2,5,4,3] => [7,6,4,5,2,1,8,3] => [5,4,2,6,1,8,7,3] => 0011111
[4,8,1,3,7,2,6,5] => [8,7,1,4,6,2,3,5] => [4,6,1,7,2,3,8,5] => 0000111
[5,1,7,6,8,3,2,4] => [5,3,8,2,1,7,6,4] => [7,6,8,3,2,5,1,4] => 0101011
[3,7,1,5,8,4,2,6] => [7,4,3,8,1,2,5,6] => [3,8,4,1,7,2,5,6] => 0010011
[6,7,3,1,8,4,2,5] => [3,7,4,8,1,6,2,5] => [6,8,4,1,7,3,2,5] => 0110011
[1,7,3,8,4,5,2,6] => [1,5,7,8,4,2,3,6] => [1,8,4,7,2,5,3,6] => 0001011
[1,7,2,8,5,3,4,6] => [1,7,5,3,8,4,2,6] => [1,8,5,3,4,7,2,6] => 0001011
[7,6,1,8,4,3,2,5] => [6,3,4,7,1,8,2,5] => [8,4,3,1,7,6,2,5] => 0110111
[8,6,1,7,4,2,5,3] => [6,4,8,5,1,7,3,2] => [5,1,7,4,3,8,6,2] => 0011111
[7,2,6,1,8,4,3,5] => [6,7,4,8,3,2,1,5] => [8,4,3,7,2,6,1,5] => 0010111
[8,2,6,1,7,3,5,4] => [6,8,7,5,3,2,1,4] => [5,3,7,2,8,1,6,4] => 0001111
[5,4,2,7,1,8,3,6] => [7,4,5,8,3,2,1,6] => [8,3,5,4,2,7,1,6] => 0011011
[4,7,5,6,8,3,2,1] => [2,3,8,4,7,5,6,1] => [4,7,5,6,8,3,2,1] => 1100011
[6,5,1,8,7,4,2,3] => [5,4,1,6,7,2,8,3] => [8,7,4,1,6,5,2,3] => 0011111
[8,6,4,7,5,3,2,1] => [2,3,5,7,6,8,1,4] => [8,6,3,2,1,7,5,4] => 1101111
[5,4,8,1,7,2,6,3] => [8,7,6,5,4,2,1,3] => [5,4,6,2,7,1,8,3] => 0001111
[7,5,8,3,2,6,4,1] => [4,3,6,8,7,1,5,2] => [7,3,1,8,5,6,4,2] => 0110111
[3,6,8,2,4,7,5,1] => [5,7,3,1,8,6,4,2] => [3,6,8,1,4,7,5,2] => 0001011
[5,7,3,8,2,6,4,1] => [4,6,8,7,5,3,1,2] => [5,7,3,8,1,6,4,2] => 0010111
[5,2,6,8,7,3,4,1] => [4,5,7,3,2,6,8,1] => [6,8,7,3,5,2,4,1] => 0011011
[2,3,8,7,4,5,6,1] => [6,2,3,7,4,5,8,1] => [2,3,8,7,4,5,6,1] => 0000111
[7,2,8,6,4,3,5,1] => [5,7,4,6,3,8,2,1] => [8,6,4,3,7,2,5,1] => 0011111
[2,1,8,7,5,6,3,4] => [2,1,6,3,7,5,8,4] => [2,1,8,7,5,6,3,4] => 1000111
[7,1,8,6,5,3,2,4] => [7,3,5,2,6,8,1,4] => [8,6,5,3,2,7,1,4] => 0101111
[1,2,8,7,6,3,4,5] => [1,2,6,3,4,7,8,5] => [1,2,8,7,6,3,4,5] => 0000111
[5,1,6,8,7,4,2,3] => [5,4,2,7,1,6,8,3] => [6,8,7,4,2,5,1,3] => 0011011
[6,8,7,2,5,4,3,1] => [3,4,5,7,2,6,8,1] => [6,8,7,2,5,4,3,1] => 0111011
[3,8,7,6,4,5,2,1] => [2,5,3,6,4,7,8,1] => [3,8,7,6,4,5,2,1] => 1001111
[2,8,7,6,5,3,4,1] => [4,2,5,3,6,7,8,1] => [2,8,7,6,5,3,4,1] => 0011111
[1,8,7,6,5,4,2,3] => [1,4,2,5,6,7,8,3] => [1,8,7,6,5,4,2,3] => 0011111
[5,8,6,7,3,4,1,2] => [4,1,7,3,5,8,6,2] => [5,8,6,7,3,4,1,2] => 0010011
[4,8,6,7,3,5,1,2] => [5,1,7,4,3,8,6,2] => [4,8,6,7,3,5,1,2] => 0001011
[1,8,6,7,4,5,2,3] => [1,5,2,7,4,8,6,3] => [1,8,6,7,4,5,2,3] => 0001011
[1,8,5,7,4,6,2,3] => [1,6,2,7,8,4,5,3] => [1,8,4,7,5,6,2,3] => 0000111
[4,8,5,7,3,6,1,2] => [6,1,7,4,8,3,5,2] => [4,8,3,7,5,6,1,2] => 0000111
[6,8,3,7,4,5,1,2] => [5,1,8,7,4,6,3,2] => [6,7,4,8,3,5,1,2] => 0001011
[5,8,3,7,4,6,1,2] => [6,1,8,7,5,4,3,2] => [5,7,4,8,3,6,1,2] => 0000111
[3,7,4,8,5,6,1,2] => [6,1,3,7,8,5,4,2] => [3,8,5,7,4,6,1,2] => 0000111
[4,7,3,8,5,6,1,2] => [6,1,7,4,8,5,3,2] => [4,8,5,7,3,6,1,2] => 0000111
[3,7,1,8,5,6,2,4] => [7,6,3,2,8,5,1,4] => [3,8,5,6,2,7,1,4] => 0000111
[3,7,2,8,5,6,1,4] => [6,7,3,1,8,5,2,4] => [3,8,5,7,1,6,2,4] => 0000111
[2,7,3,8,5,6,1,4] => [6,2,7,1,8,5,3,4] => [2,8,5,7,1,6,3,4] => 0000111
[2,7,4,8,5,6,1,3] => [6,2,1,7,8,5,4,3] => [2,8,5,7,4,6,1,3] => 0000111
[5,8,2,7,4,6,1,3] => [6,8,1,7,5,4,2,3] => [5,7,4,8,1,6,2,3] => 0000111
[6,8,2,7,4,5,1,3] => [5,8,1,7,4,6,2,3] => [6,7,4,8,1,5,2,3] => 0001011
[6,8,1,7,4,5,2,3] => [8,5,2,7,4,6,1,3] => [6,7,4,5,2,8,1,3] => 0001011
[5,8,1,7,4,6,2,3] => [8,6,2,7,5,4,1,3] => [5,7,4,6,2,8,1,3] => 0000111
[2,8,5,6,1,7,3,4] => [6,2,7,3,8,5,1,4] => [2,8,5,7,3,6,1,4] => 0000111
[1,8,5,6,2,7,3,4] => [1,6,7,3,8,5,2,4] => [1,8,5,7,3,6,2,4] => 0000111
[1,7,3,8,4,6,2,5] => [1,6,7,8,2,4,3,5] => [1,8,2,7,4,6,3,5] => 0000111
[4,8,1,7,3,6,2,5] => [8,6,7,4,2,3,1,5] => [4,7,2,6,3,8,1,5] => 0000111
[5,8,1,7,3,6,2,4] => [8,6,7,2,5,3,1,4] => [5,7,2,6,3,8,1,4] => 0000111
[6,8,2,7,3,5,1,4] => [5,8,7,1,3,6,2,4] => [6,7,1,8,3,5,2,4] => 0001011
[5,8,2,7,3,6,1,4] => [6,8,7,1,5,3,2,4] => [5,7,1,8,3,6,2,4] => 0000111
[2,7,3,8,4,6,1,5] => [6,2,7,8,1,4,3,5] => [2,8,1,7,4,6,3,5] => 0000111
[3,7,1,8,4,6,2,5] => [7,6,3,8,2,4,1,5] => [3,8,2,6,4,7,1,5] => 0000111
[1,8,4,7,3,6,2,5] => [1,6,7,8,2,3,4,5] => [1,8,2,7,3,6,4,5] => 0000111
[2,8,4,7,3,6,1,5] => [6,2,7,8,1,3,4,5] => [2,8,1,7,3,6,4,5] => 0000111
[3,8,4,7,2,6,1,5] => [6,7,3,8,1,2,4,5] => [3,8,1,7,2,6,4,5] => 0000111
[2,8,5,7,3,6,1,4] => [6,2,7,1,8,3,5,4] => [2,8,1,7,5,6,3,4] => 0000111
[1,8,6,7,3,5,2,4] => [1,5,7,2,3,8,6,4] => [1,8,6,7,2,5,3,4] => 0001011
[2,8,6,7,3,5,1,4] => [5,2,7,1,3,8,6,4] => [2,8,6,7,1,5,3,4] => 0001011
[5,8,6,7,2,4,1,3] => [4,7,1,2,5,8,6,3] => [5,8,6,7,1,4,2,3] => 0010011
[6,8,5,7,1,4,2,3] => [7,4,2,1,8,6,5,3] => [4,2,6,8,5,7,1,3] => 0010011
[5,8,6,7,1,4,2,3] => [7,4,2,1,5,8,6,3] => [4,2,5,8,6,7,1,3] => 0010011
[1,5,2,8,6,7,3,4] => [1,5,7,3,2,8,6,4] => [1,8,6,7,3,5,2,4] => 0001011
[2,6,1,8,5,7,3,4] => [6,2,7,3,8,1,5,4] => [2,8,3,7,5,6,1,4] => 0000111
[1,6,2,8,5,7,3,4] => [1,6,7,3,8,2,5,4] => [1,8,3,7,5,6,2,4] => 0000111
[3,8,5,7,1,6,2,4] => [7,6,3,2,8,1,5,4] => [3,8,2,6,5,7,1,4] => 0000111
[6,8,4,7,1,5,2,3] => [7,5,2,8,1,6,4,3] => [6,8,2,5,4,7,1,3] => 0001011
[7,8,3,6,1,5,2,4] => [6,5,8,2,1,3,7,4] => [7,8,2,5,1,6,3,4] => 0001101
[6,8,3,7,1,5,2,4] => [7,5,8,2,1,6,3,4] => [6,8,2,5,1,7,3,4] => 0001011
[3,8,4,7,1,6,2,5] => [7,6,3,8,2,1,4,5] => [3,8,2,6,1,7,4,5] => 0000111
[1,6,2,8,4,7,3,5] => [1,6,7,8,3,2,4,5] => [1,8,3,7,2,6,4,5] => 0000111
[2,6,1,8,4,7,3,5] => [6,2,7,8,3,1,4,5] => [2,8,3,7,1,6,4,5] => 0000111
[3,7,2,6,1,8,4,5] => [6,7,3,8,4,2,1,5] => [3,8,4,7,2,6,1,5] => 0000111
[7,8,1,5,2,6,3,4] => [8,5,6,3,1,2,7,4] => [6,3,5,1,7,8,2,4] => 0001101
[7,8,2,5,1,6,3,4] => [5,8,6,3,2,1,7,4] => [6,3,7,8,2,5,1,4] => 0001101
[6,8,2,5,1,7,3,4] => [5,8,7,3,2,6,1,4] => [6,7,3,8,2,5,1,4] => 0001011
[4,8,2,6,1,7,3,5] => [6,8,7,4,3,2,1,5] => [4,7,3,8,2,6,1,5] => 0000111
[1,7,3,6,2,8,4,5] => [1,6,7,8,4,3,2,5] => [1,8,4,7,3,6,2,5] => 0000111
[2,7,3,6,1,8,4,5] => [6,2,7,8,4,3,1,5] => [2,8,4,7,3,6,1,5] => 0000111
[1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 00000000
[1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => 00000001
[1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6] => [1,2,3,4,5,7,8,9,6] => 00000001
[1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5] => [1,2,3,4,6,7,8,9,5] => 00000001
[1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4] => [1,2,3,5,6,7,8,9,4] => 00000001
[1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3] => [1,2,4,5,6,7,8,9,3] => 00000001
[1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,9,2] => 00000001
[1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 000000000
[1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => 00000011
[1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => 000000001
[1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,8,7,9,6] => 00000011
[1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,8,9,7] => [1,2,3,4,5,6,8,9,10,7] => 000000001
[1,2,3,4,7,6,8,9,5] => [1,2,3,4,9,7,6,8,5] => [1,2,3,4,7,6,8,9,5] => 00000101
[1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,7,8,9,6] => [1,2,3,4,5,7,8,9,10,6] => 000000001
[1,2,3,6,5,7,8,9,4] => [1,2,3,9,6,5,7,8,4] => [1,2,3,6,5,7,8,9,4] => 00001001
[1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,6,7,8,9,5] => [1,2,3,4,6,7,8,9,10,5] => 000000001
[1,2,5,4,6,7,8,9,3] => [1,2,9,5,4,6,7,8,3] => [1,2,5,4,6,7,8,9,3] => 00010001
[1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,10,4] => 000000001
[1,4,3,5,6,7,8,9,2] => [1,9,4,3,5,6,7,8,2] => [1,4,3,5,6,7,8,9,2] => 00100001
[1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,10,3] => 000000001
[3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,8,9,1] => 01000001
[1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,10,2] => 000000001
[6,7,4,8,3,5,1,2] => [5,1,8,7,3,6,4,2] => [6,7,3,8,4,5,1,2] => 0001011
[6,7,4,5,2,8,1,3] => [8,5,1,7,4,6,2,3] => [6,7,4,5,1,8,2,3] => 0001011
[5,7,4,6,2,3,1,8] => [3,6,2,7,5,4,1,8] => [5,7,4,6,2,3,1,8] => 0100110
[5,7,4,6,3,8,1,2] => [8,1,6,7,5,4,3,2] => [5,7,4,6,3,8,1,2] => 0000111
[5,7,4,8,3,6,1,2] => [6,1,8,7,5,3,4,2] => [5,7,3,8,4,6,1,2] => 0000111
[6,8,4,5,3,7,1,2] => [7,1,5,8,4,6,3,2] => [6,8,4,5,3,7,1,2] => 0001011
[5,8,4,6,3,7,1,2] => [7,1,6,8,5,4,3,2] => [5,8,4,6,3,7,1,2] => 0000111
[5,6,4,8,3,7,1,2] => [7,1,8,6,5,4,3,2] => [5,6,4,8,3,7,1,2] => 0000111
[5,6,3,7,2,8,1,4] => [8,7,6,1,5,3,2,4] => [5,6,1,7,3,8,2,4] => 0000111
[5,6,3,8,2,7,1,4] => [7,8,6,1,5,3,2,4] => [5,6,1,8,3,7,2,4] => 0000111
[5,8,4,6,2,7,1,3] => [7,6,1,8,5,4,2,3] => [5,8,4,6,1,7,2,3] => 0000111
[6,8,4,5,2,3,1,7] => [3,5,2,8,4,6,1,7] => [6,8,4,5,2,3,1,7] => 0101001
[5,6,4,8,2,3,1,7] => [3,8,2,6,5,4,1,7] => [5,6,4,8,2,3,1,7] => 0100101
[5,6,3,8,2,4,1,7] => [4,8,6,2,5,3,1,7] => [5,6,2,8,3,4,1,7] => 0010101
[4,6,3,5,2,7,1,8] => [7,5,6,4,3,2,1,8] => [4,6,3,5,2,7,1,8] => 0001110
[4,6,3,5,2,8,1,7] => [8,5,6,4,3,2,1,7] => [4,6,3,5,2,8,1,7] => 0001101
[4,6,3,8,2,5,1,7] => [5,8,6,4,2,3,1,7] => [4,6,2,8,3,5,1,7] => 0001101
[4,8,3,6,2,5,1,7] => [5,6,8,4,2,3,1,7] => [4,8,2,6,3,5,1,7] => 0001101
[7,8,3,5,2,4,1,6] => [4,5,8,2,3,1,7,6] => [7,8,2,5,3,4,1,6] => 0011001
[7,8,3,5,2,6,1,4] => [6,5,8,1,3,2,7,4] => [7,8,1,5,3,6,2,4] => 0001101
[4,8,3,6,2,7,1,5] => [7,6,8,4,1,3,2,5] => [4,8,1,6,3,7,2,5] => 0000111
[4,6,3,8,2,7,1,5] => [7,8,6,4,1,3,2,5] => [4,6,1,8,3,7,2,5] => 0000111
[4,6,3,7,2,8,1,5] => [8,7,6,4,1,3,2,5] => [4,6,1,7,3,8,2,5] => 0000111
[4,7,3,6,2,5,1,8] => [5,6,7,4,2,3,1,8] => [4,7,2,6,3,5,1,8] => 0001110
[5,7,4,8,2,6,1,3] => [6,8,1,7,5,2,4,3] => [5,7,1,8,4,6,2,3] => 0000111
[5,7,3,6,2,8,1,4] => [8,6,7,1,5,3,2,4] => [5,7,1,6,3,8,2,4] => 0000111
[6,7,3,5,2,4,1,8] => [4,5,7,2,3,6,1,8] => [6,7,2,5,3,4,1,8] => 0011010
[6,7,4,8,2,5,1,3] => [5,8,1,7,2,6,4,3] => [6,7,1,8,4,5,2,3] => 0001011
[6,7,5,8,2,4,1,3] => [4,8,1,2,7,6,5,3] => [6,7,5,8,1,4,2,3] => 0010011
[6,7,4,8,2,3,1,5] => [3,8,2,7,1,6,4,5] => [6,7,2,3,1,8,4,5] => 0100011
[6,7,3,8,2,4,1,5] => [4,8,7,2,1,6,3,5] => [6,7,2,8,1,4,3,5] => 0010011
[6,7,3,4,2,8,1,5] => [8,4,7,3,1,6,2,5] => [6,7,3,4,1,8,2,5] => 0010011
[5,7,3,4,2,6,1,8] => [6,4,7,3,5,2,1,8] => [5,7,3,4,2,6,1,8] => 0010110
[5,7,3,4,2,8,1,6] => [8,4,7,3,5,1,2,6] => [5,7,3,4,1,8,2,6] => 0010011
[6,8,4,7,2,3,1,5] => [3,7,2,8,1,6,4,5] => [6,8,2,3,1,7,4,5] => 0100011
[5,8,3,7,2,4,1,6] => [4,7,8,2,5,1,3,6] => [5,8,2,7,1,4,3,6] => 0010011
[4,7,3,8,2,5,1,6] => [5,8,7,4,2,1,3,6] => [4,7,2,8,1,5,3,6] => 0001011
[4,7,3,5,2,6,1,8] => [6,5,7,4,3,2,1,8] => [4,7,3,5,2,6,1,8] => 0001110
[4,5,3,7,2,6,1,8] => [6,7,5,4,3,2,1,8] => [4,5,3,7,2,6,1,8] => 0001110
[4,5,3,7,2,8,1,6] => [8,7,5,4,3,1,2,6] => [4,5,3,7,1,8,2,6] => 0001011
[4,5,3,8,2,7,1,6] => [7,8,5,4,3,1,2,6] => [4,5,3,8,1,7,2,6] => 0001011
[5,8,3,4,2,7,1,6] => [7,4,8,3,5,1,2,6] => [5,8,3,4,1,7,2,6] => 0010011
[6,8,3,4,2,7,1,5] => [7,4,8,3,1,6,2,5] => [6,8,3,4,1,7,2,5] => 0010011
[6,8,3,4,2,5,1,7] => [5,4,8,3,2,6,1,7] => [6,8,3,4,2,5,1,7] => 0011001
[5,8,3,4,2,6,1,7] => [6,4,8,3,5,2,1,7] => [5,8,3,4,2,6,1,7] => 0010101
[4,8,3,5,2,6,1,7] => [6,5,8,4,3,2,1,7] => [4,8,3,5,2,6,1,7] => 0001101
[4,5,3,8,2,6,1,7] => [6,8,5,4,3,2,1,7] => [4,5,3,8,2,6,1,7] => 0001101
[4,5,3,6,2,8,1,7] => [8,6,5,4,3,2,1,7] => [4,5,3,6,2,8,1,7] => 0001101
[4,7,5,2,1,8,3,6] => [2,5,7,4,8,1,3,6] => [4,8,2,1,7,5,3,6] => 1001011
[4,8,5,2,1,7,6,3] => [2,5,8,4,6,7,3,1] => [4,7,6,3,8,5,2,1] => 1001111
[4,6,5,2,1,3,8,7] => [2,5,1,4,6,3,8,7] => [4,6,5,2,1,3,8,7] => 1001101
[5,6,4,2,3,1,8,7] => [3,4,2,6,5,1,8,7] => [5,6,4,2,3,1,8,7] => 0110101
[6,4,5,3,1,2,8,7] => [3,1,5,6,4,2,8,7] => [6,4,5,3,1,2,8,7] => 0101101
[5,4,6,1,3,2,8,7] => [6,3,1,5,4,2,8,7] => [3,1,5,4,6,2,8,7] => 0101101
[4,6,8,1,7,3,2,5] => [8,3,7,4,2,6,1,5] => [4,6,7,3,2,8,1,5] => 0100011
[4,7,8,1,6,3,5,2] => [8,5,6,4,3,1,7,2] => [4,6,3,5,1,7,8,2] => 0001101
[7,4,8,1,6,5,3,2] => [8,3,5,6,7,1,2,4] => [7,3,1,6,5,2,8,4] => 0101111
[5,6,8,7,2,1,3,4] => [2,7,1,3,5,6,8,4] => [5,6,8,7,2,1,3,4] => 1000011
[8,5,7,6,4,2,1,3] => [2,4,1,6,7,8,3,5] => [8,4,2,1,3,7,6,5] => 1010111
[8,4,6,3,7,2,1,5] => [2,7,6,8,1,4,3,5] => [8,2,1,6,4,7,3,5] => 1000111
[6,3,2,8,7,4,1,5] => [4,3,7,6,2,1,8,5] => [6,3,2,8,7,4,1,5] => 0110111
[2,1,6,8,7,4,3,5] => [2,1,4,7,3,6,8,5] => [2,1,6,8,7,4,3,5] => 1010011
[2,1,7,8,6,4,5,3] => [2,1,5,6,4,8,7,3] => [2,1,7,8,6,4,5,3] => 1001101
[7,3,2,8,6,4,5,1] => [5,3,7,6,4,8,2,1] => [8,6,4,7,3,2,5,1] => 0101111
[7,6,8,5,2,4,3,1] => [3,4,5,1,8,7,6,2] => [7,6,8,5,1,4,3,2] => 0111011
[5,7,8,6,2,3,1,4] => [3,6,2,1,5,8,7,4] => [5,7,8,6,2,3,1,4] => 0100101
[5,8,7,6,3,2,1,4] => [2,3,6,1,5,7,8,4] => [5,8,7,6,3,2,1,4] => 1100111
[6,8,7,5,3,2,4,1] => [4,3,5,2,7,6,8,1] => [6,8,7,5,3,2,4,1] => 0111011
[5,8,4,2,3,7,6,1] => [6,4,1,7,5,8,3,2] => [5,8,4,1,3,7,6,2] => 0010111
[7,8,4,2,6,5,3,1] => [3,5,4,6,8,2,7,1] => [7,8,4,2,6,5,3,1] => 0111101
[4,8,7,2,6,3,5,1] => [5,7,6,4,3,2,8,1] => [4,6,3,8,7,2,5,1] => 0001111
[4,8,6,2,7,3,1,5] => [3,7,6,4,2,8,1,5] => [4,8,6,2,7,3,1,5] => 0100111
[3,6,1,8,7,4,2,5] => [6,4,3,7,2,1,8,5] => [3,8,7,4,2,6,1,5] => 0010111
[3,7,1,8,6,4,5,2] => [7,5,3,6,4,8,1,2] => [3,8,6,4,5,1,7,2] => 0001111
[3,8,1,6,7,5,2,4] => [8,5,3,2,7,1,6,4] => [3,7,5,2,6,8,1,4] => 0001011
[3,7,1,6,8,2,5,4] => [7,8,3,5,2,1,6,4] => [3,5,2,8,1,6,7,4] => 0001011
[6,7,4,2,8,1,5,3] => [8,4,7,5,1,6,3,2] => [5,1,6,7,4,3,8,2] => 0011011
[6,8,4,2,7,5,1,3] => [5,4,2,7,8,6,1,3] => [6,8,4,2,7,5,1,3] => 0011011
[2,1,8,6,7,5,3,4] => [2,1,5,3,7,8,6,4] => [2,1,8,6,7,5,3,4] => 1001011
[8,3,2,6,7,5,1,4] => [5,3,7,2,8,1,6,4] => [8,3,2,6,7,5,1,4] => 0101011
[8,6,4,3,7,5,1,2] => [5,1,4,7,6,8,2,3] => [8,6,4,1,2,7,5,3] => 0011111
[5,8,6,7,3,1,2,4] => [3,1,7,2,5,8,6,4] => [5,8,6,7,3,1,2,4] => 0100011
[6,7,5,8,1,3,4,2] => [8,4,1,3,7,6,5,2] => [4,1,3,6,7,5,8,2] => 0010011
[7,6,5,8,1,4,3,2] => [8,3,4,1,6,7,5,2] => [4,3,1,7,6,5,8,2] => 0110111
[7,3,2,6,8,1,5,4] => [8,3,7,5,1,2,6,4] => [5,3,1,7,2,6,8,4] => 0101011
[2,1,7,6,8,3,5,4] => [2,1,8,5,3,7,6,4] => [2,1,5,3,7,6,8,4] => 1001011
[7,5,6,8,1,4,2,3] => [8,4,2,1,7,5,6,3] => [4,2,7,5,6,8,1,3] => 0010011
[6,5,7,8,1,2,4,3] => [8,1,4,2,6,5,7,3] => [4,1,2,6,5,7,8,3] => 0010101
[8,1,3,7,4,6,5,2] => [8,5,1,6,7,2,3,4] => [7,1,6,5,2,3,8,4] => 0001111
[5,2,8,7,4,6,1,3] => [6,5,1,7,2,4,8,3] => [8,7,1,5,4,6,2,3] => 0001111
[6,1,5,4,3,8,7,2] => [6,7,4,5,1,3,8,2] => [5,4,1,8,7,3,6,2] => 0011111
[7,1,5,3,4,8,6,2] => [7,6,5,3,1,8,4,2] => [5,3,8,6,1,4,7,2] => 0001111
[8,1,3,4,5,6,7,2] => [8,7,1,3,4,5,6,2] => [7,1,3,4,5,6,8,2] => 0000011
[6,5,2,8,4,1,3,7] => [4,8,2,5,6,1,3,7] => [6,5,2,8,4,1,3,7] => 0011101
[5,6,2,1,4,8,3,7] => [2,6,8,1,5,4,3,7] => [5,8,2,1,4,6,3,7] => 1000101
[1,2,6,3,5,4,7,8] => [1,2,6,5,3,4,7,8] => [1,2,5,3,6,4,7,8] => 0001100
[4,3,1,2,6,8,5,7] => [3,1,4,2,8,6,5,7] => [4,3,1,2,6,8,5,7] => 0110001
[5,8,1,6,3,2,4,7] => [8,3,6,2,5,1,4,7] => [5,6,3,2,8,1,4,7] => 0100101
[8,5,6,4,2,1,7,3] => [2,4,6,7,8,5,3,1] => [8,5,7,3,6,4,2,1] => 1010111
[6,1,2,3,8,5,7,4] => [6,1,2,7,8,3,5,4] => [8,1,2,3,7,5,6,4] => 0000111
[7,2,1,3,8,6,4,5] => [2,7,1,6,4,8,3,5] => [8,6,4,7,2,1,3,5] => 1000111
[1,5,7,3,2,4,6,8] => [1,3,7,2,5,4,6,8] => [1,5,7,3,2,4,6,8] => 0100010
[5,2,7,3,1,8,4,6] => [3,7,5,8,1,4,2,6] => [8,1,5,4,7,3,2,6] => 0101011
[5,8,2,4,1,3,7,6] => [4,8,1,2,5,7,3,6] => [5,7,1,4,2,3,8,6] => 0010011
[3,1,8,6,4,2,7,5] => [3,4,1,6,8,7,5,2] => [7,5,8,6,4,1,3,2] => 0110111
[3,5,8,7,2,4,1,6] => [4,7,3,2,5,1,8,6] => [3,5,8,7,2,4,1,6] => 0010011
[4,2,1,3,7,8,5,6] => [2,4,1,3,8,5,7,6] => [4,2,1,3,7,8,5,6] => 1010001
[2,4,1,3,8,7,5,6] => [4,2,1,3,7,5,8,6] => [2,4,1,3,8,7,5,6] => 0010011
[2,8,1,3,6,4,7,5] => [8,2,1,6,7,3,4,5] => [2,7,1,3,6,4,8,5] => 0000111
[6,8,2,3,4,1,5,7] => [4,8,2,3,1,6,5,7] => [6,8,2,3,4,1,5,7] => 0010001
[5,1,8,3,2,4,6,7] => [5,3,8,2,1,4,6,7] => [8,3,2,5,1,4,6,7] => 0101001
[9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1] => [9,8,7,6,5,4,3,2,1] => 11111111
[8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1] => [8,9,7,6,5,4,3,2,1] => 11111101
[8,7,9,6,5,4,3,2,1] => [2,3,4,5,6,9,8,7,1] => [8,7,9,6,5,4,3,2,1] => 11111011
[8,7,6,9,5,4,3,2,1] => [2,3,4,5,9,7,8,6,1] => [8,7,6,9,5,4,3,2,1] => 11110111
[8,7,6,5,9,4,3,2,1] => [2,3,4,9,6,7,8,5,1] => [8,7,6,5,9,4,3,2,1] => 11101111
[8,7,6,5,4,9,3,2,1] => [2,3,9,5,6,7,8,4,1] => [8,7,6,5,4,9,3,2,1] => 11011111
[8,7,6,5,4,3,9,2,1] => [2,9,4,5,6,7,8,3,1] => [8,7,6,5,4,3,9,2,1] => 10111111
[8,7,6,5,4,3,2,9,1] => [9,3,4,5,6,7,8,2,1] => [8,7,6,5,4,3,2,9,1] => 01111111
[8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9] => [8,7,6,5,4,3,2,1,9] => 11111110
[9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,9,1] => [9,10,8,7,6,5,4,3,2,1] => 111111101
[7,8,9,6,5,4,3,2,1] => [2,3,4,5,6,9,7,8,1] => [7,8,9,6,5,4,3,2,1] => 11111001
[9,8,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,9,8,1] => [9,8,10,7,6,5,4,3,2,1] => 111111011
[9,8,7,10,6,5,4,3,2,1] => [2,3,4,5,6,10,8,9,7,1] => [9,8,7,10,6,5,4,3,2,1] => 111110111
[9,8,7,6,10,5,4,3,2,1] => [2,3,4,5,10,7,8,9,6,1] => [9,8,7,6,10,5,4,3,2,1] => 111101111
[9,8,7,6,5,10,4,3,2,1] => [2,3,4,10,6,7,8,9,5,1] => [9,8,7,6,5,10,4,3,2,1] => 111011111
[9,8,7,6,5,4,10,3,2,1] => [2,3,10,5,6,7,8,9,4,1] => [9,8,7,6,5,4,10,3,2,1] => 110111111
[9,8,7,6,5,4,3,10,2,1] => [2,10,4,5,6,7,8,9,3,1] => [9,8,7,6,5,4,3,10,2,1] => 101111111
[8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,2,9] => [8,7,6,5,4,3,1,2,9] => 01111110
[9,8,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,8,9,2,1] => [9,8,7,6,5,4,3,2,10,1] => 011111111
[9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[1,4,2,7,8,6,3,5] => [1,4,6,2,3,8,7,5] => [1,7,8,6,2,4,3,5] => 0010101
[1,6,2,4,7,5,3,8] => [1,6,5,2,7,4,3,8] => [1,7,5,2,4,6,3,8] => 0001110
[1,7,3,8,5,2,4,6] => [1,5,8,3,7,4,2,6] => [1,7,3,4,8,5,2,6] => 0001011
[1,7,3,2,8,6,4,5] => [1,3,7,6,4,8,2,5] => [1,8,6,4,7,3,2,5] => 0100111
[7,2,3,1,8,5,6,4] => [3,7,2,6,8,5,1,4] => [8,5,6,2,3,1,7,4] => 0100111
[6,2,8,3,5,1,7,4] => [5,6,8,7,3,2,1,4] => [7,3,8,2,6,1,5,4] => 0001111
[1,3,6,4,8,5,7,2] => [1,7,3,6,8,4,5,2] => [1,3,8,4,6,5,7,2] => 0000111
[6,2,4,7,5,8,1,3] => [8,6,1,2,7,4,5,3] => [7,1,4,6,5,8,2,3] => 0000111
[7,8,2,1,4,3,5,6] => [2,8,4,1,3,5,7,6] => [4,2,1,7,8,3,5,6] => 1010001
[7,5,4,2,6,8,1,3] => [8,4,1,5,7,2,6,3] => [7,5,4,1,6,8,2,3] => 0011011
[1,7,5,3,4,6,8,2] => [1,8,5,3,7,4,6,2] => [1,7,5,3,4,6,8,2] => 0001011
[8,2,5,4,6,7,1,3] => [7,8,1,5,2,4,6,3] => [5,1,8,4,6,7,2,3] => 0001011
[8,2,6,4,3,1,7,5] => [3,4,6,8,7,2,1,5] => [7,2,8,4,3,1,6,5] => 0110111
[1,2,8,4,3,5,6,7] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => 0010001
[1,7,4,2,3,5,6,8] => [1,4,2,7,3,5,6,8] => [1,7,4,2,3,5,6,8] => 0010010
[6,8,4,1,3,2,5,7] => [4,3,1,8,2,6,5,7] => [3,1,6,8,4,2,5,7] => 0110001
[1,8,7,4,3,2,5,6] => [1,3,4,7,2,5,8,6] => [1,8,7,4,3,2,5,6] => 0110011
[1,6,3,8,2,4,7,5] => [1,8,6,2,7,3,4,5] => [1,7,2,6,3,4,8,5] => 0000111
[1,4,6,2,8,3,7,5] => [1,6,8,4,7,2,3,5] => [1,4,7,2,8,3,6,5] => 0000111
[5,3,6,1,2,8,4,7] => [6,1,5,8,3,2,4,7] => [8,3,5,1,2,6,4,7] => 0001101
[6,3,4,1,2,5,8,7] => [4,1,6,3,2,5,8,7] => [6,3,4,1,2,5,8,7] => 0010101
[6,3,1,4,2,7,5,8] => [3,6,4,2,7,1,5,8] => [4,2,7,3,1,6,5,8] => 0110110
[1,8,3,2,4,5,6,7] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => 0100001
[8,6,3,2,4,1,7,5] => [4,3,6,2,8,7,5,1] => [7,5,8,6,3,2,4,1] => 0110111
[4,5,2,6,8,1,7,3] => [8,5,7,4,2,6,1,3] => [4,6,7,2,5,1,8,3] => 0001011
[4,2,5,6,7,8,1,3] => [8,4,1,2,5,6,7,3] => [4,1,5,6,7,8,2,3] => 0010001
[7,2,3,1,4,5,8,6] => [3,7,2,1,4,8,5,6] => [8,2,3,1,4,5,7,6] => 0100011
[8,6,1,4,3,2,5,7] => [6,3,4,1,2,8,5,7] => [4,3,1,8,6,2,5,7] => 0110101
[8,1,2,4,6,5,3,7] => [8,1,5,2,6,4,3,7] => [6,5,1,2,4,8,3,7] => 0001101
[8,1,2,6,4,5,3,7] => [8,1,5,6,4,2,3,7] => [6,4,5,1,2,8,3,7] => 0001101
[8,1,2,5,6,4,3,7] => [8,1,4,6,2,5,3,7] => [6,4,1,2,5,8,3,7] => 0010101
[8,1,2,6,5,4,3,7] => [8,1,4,5,6,2,3,7] => [6,5,4,1,2,8,3,7] => 0011101
[5,1,4,8,2,7,3,6] => [5,8,7,1,4,3,2,6] => [7,1,4,8,3,5,2,6] => 0001011
[1,4,6,8,2,7,3,5] => [1,8,7,4,3,6,2,5] => [1,4,6,7,3,8,2,5] => 0000011
[1,4,7,6,2,8,3,5] => [1,6,7,4,2,8,3,5] => [1,4,8,2,7,6,3,5] => 0000111
[1,7,4,5,2,8,3,6] => [1,5,8,7,4,3,2,6] => [1,7,4,8,3,5,2,6] => 0001011
[1,4,6,2,8,7,3,5] => [1,6,7,4,3,2,8,5] => [1,4,8,7,3,6,2,5] => 0000111
[1,4,2,8,6,7,3,5] => [1,4,7,2,3,8,6,5] => [1,8,6,7,2,4,3,5] => 0010011
[3,1,2,6,4,8,7,5] => [3,1,2,6,7,4,8,5] => [3,1,2,8,7,4,6,5] => 0100111
[3,1,2,7,4,6,8,5] => [3,1,2,7,8,4,6,5] => [3,1,2,8,4,6,7,5] => 0100011
[1,2,3,6,8,5,7,4] => [1,2,3,7,8,6,5,4] => [1,2,3,6,8,5,7,4] => 0000011
[5,1,4,2,7,8,3,6] => [5,4,8,1,2,3,7,6] => [7,8,1,4,2,5,3,6] => 0011001
[1,4,2,7,6,8,3,5] => [1,4,8,2,3,7,6,5] => [1,7,6,8,2,4,3,5] => 0010011
[3,1,2,8,4,6,7,5] => [3,1,2,8,7,4,6,5] => [3,1,2,7,4,6,8,5] => 0100011
[1,8,7,3,4,2,5,6] => [1,4,7,3,2,5,8,6] => [1,8,7,3,4,2,5,6] => 0010011
[1,4,2,7,8,3,6,5] => [1,4,8,2,6,3,7,5] => [1,6,2,4,3,7,8,5] => 0010101
[1,4,2,6,8,3,7,5] => [1,4,8,2,7,6,3,5] => [1,6,7,2,4,3,8,5] => 0010011
[1,2,3,7,8,5,6,4] => [1,2,3,6,8,5,7,4] => [1,2,3,7,8,5,6,4] => 0000101
[1,2,3,7,5,8,6,4] => [1,2,3,6,8,7,4,5] => [1,2,3,7,4,8,6,5] => 0000111
[1,4,2,7,3,8,6,5] => [1,4,7,2,6,8,3,5] => [1,8,6,2,4,3,7,5] => 0010111
[3,1,7,2,8,6,4,5] => [3,7,1,6,4,8,2,5] => [8,6,4,7,1,3,2,5] => 0100111
[2,1,7,8,3,4,6,5] => [2,1,8,3,6,4,7,5] => [2,1,6,3,4,7,8,5] => 1000101
[1,2,3,8,7,5,6,4] => [1,2,3,6,7,5,8,4] => [1,2,3,8,7,5,6,4] => 0000111
[10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => 000000001
[10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,10,8] => [10,9,1,2,3,4,5,6,7,8] => 000000011
[11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10] => 0000000001
[10,1,2,11,3,4,5,6,7,8,9] => [10,1,11,3,4,5,6,7,8,2,9] => [11,3,4,5,6,7,8,10,1,2,9] => 0000000011
[2,9,10,1,3,4,5,6,7,8] => [10,2,1,3,4,5,6,7,9,8] => [2,9,10,1,3,4,5,6,7,8] => 000000001
[11,1,10,2,3,4,5,6,7,8,9] => [11,10,2,3,4,5,6,7,8,1,9] => [10,2,3,4,5,6,7,8,11,1,9] => 0000000011
[11,10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,11,9] => [11,10,1,2,3,4,5,6,7,8,9] => 0000000011
[5,7,8,4,2,6,1,3] => [6,4,1,8,5,2,7,3] => [5,7,8,4,1,6,2,3] => 0010101
[8,6,3,7,2,1,5,4] => [2,7,6,5,1,8,3,4] => [5,2,1,8,6,3,7,4] => 1001111
[7,6,3,8,2,1,5,4] => [2,8,6,5,1,7,3,4] => [5,2,1,7,6,3,8,4] => 1001111
[6,7,8,3,2,1,5,4] => [2,3,8,5,1,6,7,4] => [5,3,2,1,6,7,8,4] => 1101001
[5,7,8,3,2,1,6,4] => [2,3,8,6,5,1,7,4] => [5,6,3,2,1,7,8,4] => 1100101
[3,7,8,4,2,5,1,6] => [5,4,3,8,2,1,7,6] => [3,7,8,4,2,5,1,6] => 0011001
[4,7,8,3,2,1,5,6] => [2,3,8,4,1,5,7,6] => [4,7,8,3,2,1,5,6] => 1100001
[5,7,8,3,2,1,4,6] => [2,3,8,1,5,4,7,6] => [5,7,8,3,2,1,4,6] => 1100001
[7,6,3,8,2,1,4,5] => [2,8,6,1,4,7,3,5] => [7,6,2,1,4,8,3,5] => 1000111
[5,6,3,8,2,1,4,7] => [2,8,6,1,5,3,4,7] => [5,6,2,1,8,3,4,7] => 1000101
[3,6,4,8,2,5,1,7] => [5,8,3,6,2,4,1,7] => [3,6,2,8,4,5,1,7] => 0001101
[2,6,4,8,3,5,7,1] => [7,2,8,6,3,4,5,1] => [2,6,3,8,4,5,7,1] => 0000111
[3,6,4,7,2,5,1,8] => [5,7,3,6,2,4,1,8] => [3,6,2,7,4,5,1,8] => 0001110
[8,4,3,2,1,6,5,7] => [2,3,4,8,6,1,5,7] => [6,4,3,2,1,8,5,7] => 1110101
[6,4,3,2,1,7,5,8] => [2,3,4,6,7,1,5,8] => [7,4,3,2,1,6,5,8] => 1110110
[4,5,3,2,7,1,6,8] => [7,3,5,4,2,1,6,8] => [4,5,3,2,7,1,6,8] => 0101010
[3,5,4,2,8,6,1,7] => [6,4,3,5,2,8,1,7] => [3,5,4,2,8,6,1,7] => 0011101
[6,4,3,2,1,8,5,7] => [2,3,4,6,8,1,5,7] => [8,4,3,2,1,6,5,7] => 1110101
[8,4,3,2,1,7,5,6] => [2,3,4,8,7,5,1,6] => [7,5,8,4,3,2,1,6] => 1110011
[8,4,3,2,1,7,6,5] => [2,3,4,8,6,7,1,5] => [7,6,4,3,2,1,8,5] => 1110111
[7,4,3,2,1,8,6,5] => [2,3,4,7,6,8,1,5] => [8,6,4,3,2,1,7,5] => 1110111
[5,6,3,8,2,1,7,4] => [2,8,6,7,5,3,1,4] => [5,7,3,6,2,1,8,4] => 1000111
[7,5,3,2,8,1,6,4] => [8,3,5,7,6,1,4,2] => [6,3,1,7,5,4,8,2] => 0101111
[6,5,4,2,8,7,1,3] => [7,4,1,5,6,2,8,3] => [6,5,4,1,8,7,2,3] => 0011111
[2,6,5,7,8,3,4,1] => [4,2,8,3,6,5,7,1] => [2,6,5,7,8,3,4,1] => 0010101
[6,5,4,2,7,8,1,3] => [8,4,1,5,6,2,7,3] => [6,5,4,1,7,8,2,3] => 0011101
[8,5,4,2,6,7,1,3] => [7,4,1,5,8,2,6,3] => [8,5,4,1,6,7,2,3] => 0011011
[8,5,3,2,6,1,7,4] => [6,3,5,8,7,4,1,2] => [7,4,8,5,3,1,6,2] => 0101111
[5,6,3,7,2,1,8,4] => [2,7,6,8,5,3,1,4] => [5,8,3,6,2,1,7,4] => 1000111
[3,6,4,7,2,8,1,5] => [8,7,3,6,1,4,2,5] => [3,6,1,7,4,8,2,5] => 0000111
[2,6,4,7,3,8,5,1] => [5,2,8,7,6,1,4,3] => [2,6,1,7,4,8,5,3] => 0001111
[3,5,4,2,7,8,1,6] => [8,4,3,5,2,1,7,6] => [3,5,4,2,7,8,1,6] => 0011001
[7,4,3,2,1,6,8,5] => [2,3,4,7,8,1,6,5] => [8,4,3,2,1,6,7,5] => 1110011
[8,4,3,2,1,6,7,5] => [2,3,4,8,7,1,6,5] => [7,4,3,2,1,6,8,5] => 1110011
[8,4,3,2,1,5,7,6] => [2,3,4,8,1,7,5,6] => [7,4,3,2,1,5,8,6] => 1110011
[7,4,3,2,1,5,8,6] => [2,3,4,7,1,8,5,6] => [8,4,3,2,1,5,7,6] => 1110011
[3,5,4,2,6,8,1,7] => [8,4,3,5,2,6,1,7] => [3,5,4,2,6,8,1,7] => 0011001
[5,6,3,4,1,2,8,7] => [4,1,6,3,5,2,8,7] => [5,6,3,4,1,2,8,7] => 0010101
[8,5,3,7,2,6,4,1] => [4,6,7,5,8,3,1,2] => [8,5,3,7,1,6,4,2] => 0011111
[7,5,8,4,2,6,1,3] => [6,4,1,8,7,2,5,3] => [7,4,1,8,5,6,2,3] => 0010111
[2,1,7,8,5,6,3,4] => [2,1,6,3,8,5,7,4] => [2,1,7,8,5,6,3,4] => 1000101
[6,8,3,7,5,1,4,2] => [5,4,7,3,8,6,1,2] => [6,8,3,4,1,7,5,2] => 0011011
[5,7,3,8,1,6,2,4] => [8,6,7,2,5,1,3,4] => [5,7,2,6,1,8,3,4] => 0000111
[3,2,5,8,4,6,1,7] => [6,3,2,8,5,4,1,7] => [3,2,5,8,4,6,1,7] => 0100101
[3,5,2,4,1,7,6,8] => [4,5,3,2,1,7,6,8] => [3,5,2,4,1,7,6,8] => 0011010
[4,5,2,3,7,1,6,8] => [7,5,2,4,3,1,6,8] => [4,5,2,3,7,1,6,8] => 0001010
[4,2,5,3,8,1,6,7] => [8,4,5,2,3,1,6,7] => [5,2,4,3,8,1,6,7] => 0011001
[4,2,5,8,3,1,6,7] => [3,8,4,1,5,2,6,7] => [4,1,5,8,3,2,6,7] => 0110001
[3,1,5,4,2,8,6,7] => [3,4,1,5,2,8,6,7] => [5,4,1,3,2,8,6,7] => 0111001
[4,1,5,3,8,2,6,7] => [4,8,5,1,3,2,6,7] => [5,1,8,3,4,2,6,7] => 0011001
[4,1,5,8,3,2,6,7] => [4,3,8,1,5,2,6,7] => [5,8,3,1,4,2,6,7] => 0110001
[4,3,8,5,2,1,6,7] => [2,5,4,3,8,1,6,7] => [4,3,8,5,2,1,6,7] => 1011001
[4,7,3,5,2,1,6,8] => [2,5,7,4,3,1,6,8] => [4,7,3,5,2,1,6,8] => 1001010
[4,3,2,7,5,1,6,8] => [5,3,4,2,7,1,6,8] => [4,3,2,7,5,1,6,8] => 0111010
[4,3,6,2,5,1,7,8] => [5,6,4,3,2,1,7,8] => [4,3,6,2,5,1,7,8] => 0011100
[4,6,3,2,5,1,7,8] => [5,3,6,4,2,1,7,8] => [4,6,3,2,5,1,7,8] => 0101100
[4,5,1,3,7,2,6,8] => [5,7,1,4,3,2,6,8] => [4,7,1,3,5,2,6,8] => 0001010
[3,5,1,4,2,7,6,8] => [5,4,3,1,2,7,6,8] => [3,4,1,5,2,7,6,8] => 0011010
[2,5,1,4,3,7,8,6] => [5,2,4,1,3,8,7,6] => [2,4,1,5,3,7,8,6] => 0011001
[5,2,1,4,3,7,8,6] => [2,5,4,1,3,8,7,6] => [4,2,1,5,3,7,8,6] => 1011001
[5,3,1,4,2,7,6,8] => [3,5,4,2,1,7,6,8] => [4,2,5,3,1,7,6,8] => 0111010
[4,3,1,7,5,2,6,8] => [3,4,5,2,7,1,6,8] => [7,5,2,4,3,1,6,8] => 0111010
[4,3,6,1,5,2,7,8] => [6,5,4,3,1,2,7,8] => [4,3,5,1,6,2,7,8] => 0011100
[4,6,3,1,5,2,7,8] => [3,6,5,4,2,1,7,8] => [4,5,2,6,3,1,7,8] => 0101100
[4,3,6,1,7,2,5,8] => [6,7,4,3,2,1,5,8] => [4,3,7,2,6,1,5,8] => 0010110
[6,3,4,1,2,7,5,8] => [4,1,6,3,7,2,5,8] => [7,3,4,1,2,6,5,8] => 0010110
[6,2,4,1,3,7,8,5] => [4,6,1,2,8,3,7,5] => [7,8,1,4,2,3,6,5] => 0010101
[3,6,4,1,2,7,5,8] => [4,1,3,6,7,2,5,8] => [3,7,4,1,2,6,5,8] => 0010110
[4,6,3,1,7,2,5,8] => [3,6,7,4,1,2,5,8] => [4,7,1,6,3,2,5,8] => 0100110
[5,3,6,2,1,4,7,8] => [2,6,5,1,3,4,7,8] => [5,2,1,6,3,4,7,8] => 1001100
[4,5,2,7,3,1,6,8] => [3,7,5,4,1,2,6,8] => [4,5,1,7,3,2,6,8] => 0101010
[4,6,7,2,3,1,5,8] => [3,7,2,4,1,6,5,8] => [4,6,7,2,3,1,5,8] => 0100010
[3,2,6,1,4,7,5,8] => [6,3,2,1,7,4,5,8] => [3,2,7,1,4,6,5,8] => 0100110
[3,6,7,2,4,5,1,8] => [5,7,3,2,4,6,1,8] => [3,6,7,2,4,5,1,8] => 0001010
[3,5,2,7,4,6,1,8] => [6,5,3,7,2,4,1,8] => [3,7,2,5,4,6,1,8] => 0001110
[3,7,2,4,8,5,1,6] => [5,8,3,1,7,2,4,6] => [3,7,1,8,5,2,4,6] => 0001011
[7,2,1,4,6,3,8,5] => [2,7,6,1,8,4,3,5] => [8,2,1,4,6,3,7,5] => 1000111
[3,6,2,1,5,7,4,8] => [2,6,3,7,1,5,4,8] => [3,7,2,1,5,6,4,8] => 1000110
[6,3,2,1,5,7,4,8] => [2,3,6,7,1,5,4,8] => [7,3,2,1,5,6,4,8] => 1100110
[6,4,2,1,5,3,7,8] => [2,4,6,5,3,1,7,8] => [5,3,6,4,2,1,7,8] => 1011100
[7,3,1,5,2,6,4,8] => [3,7,5,6,2,1,4,8] => [6,2,5,3,1,7,4,8] => 0101110
[6,2,5,1,3,7,8,4] => [5,6,1,8,2,3,7,4] => [7,8,1,6,2,3,5,4] => 0001101
[6,3,5,1,2,7,4,8] => [5,1,6,7,3,2,4,8] => [7,3,6,1,2,5,4,8] => 0001110
[6,4,5,1,7,2,3,8] => [5,7,2,6,4,1,3,8] => [6,4,7,2,5,1,3,8] => 0001110
[5,2,6,4,1,3,7,8] => [4,6,2,5,1,3,7,8] => [5,2,6,4,1,3,7,8] => 0011100
[6,5,2,1,4,7,8,3] => [2,5,6,3,8,4,7,1] => [7,8,3,4,6,5,2,1] => 1001101
[6,5,3,1,4,7,2,8] => [3,5,6,1,7,4,2,8] => [7,1,4,6,5,3,2,8] => 0101110
[2,4,1,5,8,3,7,6] => [4,2,8,1,5,7,3,6] => [2,5,7,1,4,3,8,6] => 0010011
[2,4,1,5,3,8,7,6] => [4,2,5,1,3,7,8,6] => [2,5,1,4,3,8,7,6] => 0011011
[3,4,5,1,2,8,7,6] => [5,1,3,4,2,7,8,6] => [3,4,5,1,2,8,7,6] => 0001011
[3,4,5,1,8,2,7,6] => [5,8,3,4,1,7,2,6] => [3,4,7,1,5,2,8,6] => 0001011
[1,8,4,5,3,2,7,6] => [1,3,5,8,4,7,2,6] => [1,7,4,5,3,2,8,6] => 0101011
[3,4,6,2,1,7,5,8] => [2,6,3,4,7,1,5,8] => [3,4,7,2,1,6,5,8] => 1000110
[3,5,6,2,7,1,4,8] => [7,6,3,1,5,2,4,8] => [3,5,6,1,7,2,4,8] => 0000110
[3,5,6,2,7,1,8,4] => [7,6,3,8,5,2,1,4] => [3,5,8,2,6,1,7,4] => 0000111
[3,4,6,2,8,7,1,5] => [7,6,3,4,1,2,8,5] => [3,4,6,1,8,7,2,5] => 0000111
[3,4,6,8,2,7,1,5] => [7,8,3,4,1,6,2,5] => [3,4,6,8,1,7,2,5] => 0000011
[1,8,4,6,3,7,5,2] => [1,5,7,6,8,2,4,3] => [1,8,2,6,4,7,5,3] => 0001111
[3,4,6,8,2,7,5,1] => [5,7,3,4,8,6,1,2] => [3,4,6,8,1,7,5,2] => 0001011
[3,4,6,2,8,7,5,1] => [5,7,3,4,6,1,8,2] => [3,4,6,1,8,7,5,2] => 0001111
[3,5,6,2,7,8,4,1] => [4,8,3,6,5,1,7,2] => [3,5,6,1,7,8,4,2] => 0010101
[3,5,6,2,7,4,1,8] => [4,7,3,6,5,1,2,8] => [3,5,6,1,7,4,2,8] => 0010110
[4,5,6,7,2,8,3,1] => [3,8,7,4,5,6,1,2] => [4,5,6,7,1,8,3,2] => 0100011
[3,5,6,8,7,2,4,1] => [4,7,3,2,5,6,8,1] => [3,5,6,8,7,2,4,1] => 0010011
[2,5,8,6,7,3,4,1] => [4,2,7,3,5,8,6,1] => [2,5,8,6,7,3,4,1] => 0010011
[1,8,5,6,7,3,2,4] => [1,3,7,2,8,5,6,4] => [1,8,5,6,7,3,2,4] => 0100011
[2,5,8,6,7,3,1,4] => [3,2,7,1,5,8,6,4] => [2,5,8,6,7,3,1,4] => 0100011
[3,5,6,8,7,2,1,4] => [2,7,3,1,5,6,8,4] => [3,5,6,8,7,2,1,4] => 1000011
[3,4,6,1,8,7,2,5] => [6,7,3,4,2,1,8,5] => [3,4,8,7,2,6,1,5] => 0000111
[2,5,1,6,7,4,8,3] => [5,2,8,7,1,6,4,3] => [2,6,7,1,8,4,5,3] => 0001011
[3,5,6,1,7,4,2,8] => [6,4,3,7,5,1,2,8] => [3,5,7,4,1,6,2,8] => 0010110
[3,5,6,1,7,4,8,2] => [6,8,3,7,5,1,4,2] => [3,5,7,1,8,4,6,2] => 0000111
[1,8,4,6,2,7,5,3] => [1,6,5,7,8,3,2,4] => [1,8,3,7,5,2,6,4] => 0001111
[3,5,6,8,7,1,4,2] => [7,4,3,1,5,6,8,2] => [3,4,1,5,6,8,7,2] => 0010011
[4,5,6,7,8,1,3,2] => [8,3,1,4,5,6,7,2] => [3,1,4,5,6,7,8,2] => 0100001
[4,5,6,7,1,3,8,2] => [7,8,1,4,5,6,3,2] => [4,5,6,8,1,3,7,2] => 0000011
[4,5,6,7,1,3,2,8] => [7,3,1,4,5,6,2,8] => [3,1,4,5,6,7,2,8] => 0100010
[4,5,6,7,3,1,8,2] => [3,7,8,4,5,6,2,1] => [4,5,6,8,2,7,3,1] => 0100011
[3,5,6,8,7,4,1,2] => [4,1,3,7,5,6,8,2] => [3,5,6,8,7,4,1,2] => 0010011
[1,8,5,6,7,4,2,3] => [1,4,2,7,8,5,6,3] => [1,8,5,6,7,4,2,3] => 0010011
[2,5,8,6,7,4,3,1] => [3,2,4,7,5,8,6,1] => [2,5,8,6,7,4,3,1] => 0110011
[8,2,5,3,7,1,6,4] => [7,8,5,6,2,1,3,4] => [6,2,5,1,8,3,7,4] => 0001111
[8,2,4,3,7,1,6,5] => [7,8,4,2,6,1,3,5] => [4,2,6,1,8,3,7,5] => 0010111
[5,8,2,4,3,7,1,6] => [7,8,4,2,5,1,3,6] => [4,2,5,8,1,7,3,6] => 0010011
[4,2,5,6,1,8,3,7] => [6,4,8,2,5,1,3,7] => [5,8,2,4,1,6,3,7] => 0010101
[4,2,5,6,1,7,3,8] => [6,4,7,2,5,1,3,8] => [5,7,2,4,1,6,3,8] => 0010110
[6,1,5,7,3,2,4,8] => [6,3,7,2,1,5,4,8] => [7,3,2,5,6,1,4,8] => 0100110
[6,1,5,8,3,2,4,7] => [6,3,8,2,1,5,4,7] => [8,3,2,5,6,1,4,7] => 0100101
[3,8,2,4,7,1,5,6] => [7,8,3,2,1,5,4,6] => [3,8,2,5,7,1,4,6] => 0000011
[3,6,8,2,4,7,1,5] => [7,8,3,2,1,6,4,5] => [3,6,8,2,7,1,4,5] => 0000011
[4,3,5,6,7,1,8,2] => [7,8,4,3,5,6,1,2] => [4,3,5,6,8,1,7,2] => 0010011
[3,7,1,5,6,8,2,4] => [7,8,3,2,1,5,6,4] => [3,8,2,5,6,7,1,4] => 0000011
[3,7,1,5,8,2,4,6] => [7,8,3,2,1,4,5,6] => [3,8,2,7,1,4,5,6] => 0000011
[8,3,2,4,6,1,5,7] => [6,3,8,2,1,4,5,7] => [8,3,2,6,1,4,5,7] => 0100101
[7,3,2,4,6,1,5,8] => [6,3,7,2,1,4,5,8] => [7,3,2,6,1,4,5,8] => 0100110
[3,2,5,1,7,4,6,8] => [5,3,2,7,1,4,6,8] => [3,2,7,1,5,4,6,8] => 0101010
[3,2,5,1,8,4,6,7] => [5,3,2,8,1,4,6,7] => [3,2,8,1,5,4,6,7] => 0101001
[3,2,5,1,7,8,4,6] => [5,3,2,8,1,4,7,6] => [3,2,7,8,1,5,4,6] => 0101001
[7,8,3,2,4,6,1,5] => [6,3,8,2,1,4,7,5] => [7,8,3,2,6,1,4,5] => 0100101
[6,1,5,7,8,3,2,4] => [6,3,8,2,1,5,7,4] => [7,8,3,2,5,6,1,4] => 0100101
[4,2,5,6,1,7,8,3] => [6,4,8,2,5,1,7,3] => [5,7,8,2,4,1,6,3] => 0010101
[6,1,5,8,7,3,2,4] => [6,3,7,2,1,5,8,4] => [8,7,3,2,5,6,1,4] => 0100111
[8,7,3,2,4,6,1,5] => [6,3,7,2,1,4,8,5] => [8,7,3,2,6,1,4,5] => 0100111
[3,2,5,1,8,7,4,6] => [5,3,2,7,1,4,8,6] => [3,2,8,7,1,5,4,6] => 0101011
[3,2,5,1,6,4,7,8] => [5,3,2,6,1,4,7,8] => [3,2,6,1,5,4,7,8] => 0101100
[3,2,4,1,8,7,5,6] => [4,3,2,1,7,5,8,6] => [3,2,4,1,8,7,5,6] => 0110011
[3,2,5,1,6,8,7,4] => [5,3,2,7,1,6,8,4] => [3,2,6,8,7,1,5,4] => 0101011
[3,8,6,5,1,7,4,2] => [5,4,3,6,8,7,1,2] => [3,7,4,1,8,6,5,2] => 0011111
[3,7,6,5,1,8,4,2] => [5,4,3,6,7,8,1,2] => [3,8,4,1,7,6,5,2] => 0011111
[6,5,1,7,8,4,2,3] => [5,4,1,6,8,2,7,3] => [7,8,4,1,6,5,2,3] => 0011101
[3,2,5,1,6,7,8,4] => [5,3,2,8,1,6,7,4] => [3,2,6,7,8,1,5,4] => 0101001
[3,2,4,1,8,5,6,7] => [4,3,2,1,8,5,6,7] => [3,2,4,1,8,5,6,7] => 0110001
[3,2,4,1,7,5,6,8] => [4,3,2,1,7,5,6,8] => [3,2,4,1,7,5,6,8] => 0110010
[3,2,4,1,6,8,5,7] => [4,3,2,1,8,6,5,7] => [3,2,4,1,6,8,5,7] => 0110001
[3,2,4,1,8,5,7,6] => [4,3,2,1,8,7,5,6] => [3,2,4,1,7,5,8,6] => 0110011
[8,3,2,4,7,6,1,5] => [6,3,7,1,2,8,4,5] => [8,3,1,7,6,2,4,5] => 0100111
[3,2,5,1,8,4,7,6] => [5,3,2,8,1,7,4,6] => [3,2,7,1,5,4,8,6] => 0101011
[3,2,5,1,6,7,4,8] => [5,3,2,7,1,6,4,8] => [3,2,6,7,1,5,4,8] => 0101010
[6,5,1,7,4,2,3,8] => [5,4,1,6,7,2,3,8] => [7,4,1,6,5,2,3,8] => 0011110
[6,5,1,8,4,2,3,7] => [5,4,1,6,8,2,3,7] => [8,4,1,6,5,2,3,7] => 0011101
[8,4,2,3,7,5,1,6] => [5,4,1,7,8,2,3,6] => [8,4,1,7,5,2,3,6] => 0011011
[4,2,6,1,8,3,7,5] => [6,4,8,2,7,1,3,5] => [7,2,4,1,8,3,6,5] => 0010111
[5,2,6,1,8,3,7,4] => [6,5,8,7,2,1,3,4] => [7,2,8,1,5,3,6,4] => 0001111
[8,4,6,1,7,3,5,2] => [6,5,7,8,3,4,1,2] => [8,3,7,4,5,1,6,2] => 0001111
[5,2,6,1,8,4,7,3] => [6,5,7,8,2,1,4,3] => [8,2,7,1,5,4,6,3] => 0001111
[7,4,2,3,8,5,1,6] => [5,4,1,8,7,2,3,6] => [7,4,1,8,5,2,3,6] => 0011011
[3,2,5,1,7,6,4,8] => [5,3,2,6,1,7,4,8] => [3,2,7,6,1,5,4,8] => 0101110
[3,2,5,1,8,6,4,7] => [5,3,2,6,1,8,4,7] => [3,2,8,6,1,5,4,7] => 0101101
[7,3,2,4,8,6,1,5] => [6,3,8,1,2,7,4,5] => [7,3,1,8,6,2,4,5] => 0100111
[8,6,1,5,7,3,2,4] => [6,3,8,1,2,7,5,4] => [7,3,1,5,8,6,2,4] => 0100111
[4,2,6,1,8,5,7,3] => [6,4,7,2,8,1,5,3] => [8,2,4,1,7,5,6,3] => 0010111
[8,5,6,1,7,3,4,2] => [6,4,7,3,8,5,1,2] => [8,5,7,3,4,1,6,2] => 0010111
[3,6,8,5,1,7,4,2] => [5,4,3,8,7,6,2,1] => [3,6,7,4,2,8,5,1] => 0011011
[8,5,1,6,7,4,2,3] => [5,4,1,8,7,2,6,3] => [7,4,1,6,8,5,2,3] => 0011011
[3,2,5,1,8,6,7,4] => [5,3,2,7,1,8,6,4] => [3,2,8,6,7,1,5,4] => 0101011
[3,2,4,1,8,6,5,7] => [4,3,2,1,6,8,5,7] => [3,2,4,1,8,6,5,7] => 0110101
[3,2,4,1,5,8,6,7] => [4,3,2,1,5,8,6,7] => [3,2,4,1,5,8,6,7] => 0110001
[3,2,5,1,7,8,6,4] => [5,3,2,6,1,8,7,4] => [3,2,7,8,6,1,5,4] => 0101101
[7,8,5,1,6,4,2,3] => [5,4,1,8,6,2,7,3] => [6,4,1,7,8,5,2,3] => 0011101
[3,8,5,1,7,6,4,2] => [5,4,3,8,6,7,2,1] => [3,7,6,4,2,8,5,1] => 0011111
[3,2,5,1,8,7,6,4] => [5,3,2,6,1,7,8,4] => [3,2,8,7,6,1,5,4] => 0101111
[5,4,7,3,6,1,8,2] => [6,8,7,5,4,3,1,2] => [5,4,7,3,8,1,6,2] => 0001111
[5,4,8,3,6,1,7,2] => [6,7,8,5,4,3,1,2] => [5,4,8,3,7,1,6,2] => 0001111
[5,4,3,6,7,1,8,2] => [7,8,4,5,3,6,1,2] => [5,4,3,6,8,1,7,2] => 0011011
[2,4,1,7,5,8,6,3] => [4,2,6,1,8,7,3,5] => [2,7,1,4,3,8,6,5] => 0010111
[2,4,1,7,5,3,8,6] => [4,2,5,1,7,8,3,6] => [2,8,5,1,4,3,7,6] => 0011011
[3,2,1,6,8,5,4,7] => [2,3,1,5,8,6,4,7] => [3,2,1,6,8,5,4,7] => 1101001
[3,2,7,1,5,4,8,6] => [7,3,2,5,1,8,4,6] => [3,2,5,1,8,4,7,6] => 0101011
[3,2,7,1,5,8,6,4] => [7,3,2,6,1,8,5,4] => [3,2,8,6,1,5,7,4] => 0100111
[3,8,2,5,1,6,7,4] => [5,8,3,7,2,1,6,4] => [3,7,2,6,8,1,5,4] => 0001011
[4,8,3,2,6,7,1,5] => [7,3,8,4,1,2,6,5] => [4,8,3,1,6,7,2,5] => 0100011
[4,3,8,2,6,7,1,5] => [7,8,4,3,1,2,6,5] => [4,3,8,1,6,7,2,5] => 0010011
[4,3,2,6,7,1,5,8] => [7,3,4,2,1,6,5,8] => [4,3,2,6,7,1,5,8] => 0110010
[3,2,5,7,8,1,6,4] => [8,3,2,6,5,1,7,4] => [3,2,5,6,1,7,8,4] => 0100101
[3,2,5,7,1,6,8,4] => [7,3,2,8,5,1,6,4] => [3,2,5,8,1,6,7,4] => 0100011
[6,3,2,7,1,5,8,4] => [7,3,6,8,1,2,5,4] => [8,3,1,6,2,5,7,4] => 0100111
[4,2,6,1,7,8,5,3] => [6,4,5,2,8,1,7,3] => [7,8,5,2,4,1,6,3] => 0011101
[2,1,7,5,3,8,6,4] => [2,1,5,7,6,8,4,3] => [2,1,8,6,4,7,5,3] => 1001111
[6,3,2,7,1,4,8,5] => [7,3,6,1,8,2,4,5] => [8,3,1,6,2,4,7,5] => 0100111
[6,3,2,1,4,7,8,5] => [2,3,6,1,8,4,7,5] => [7,8,3,2,1,4,6,5] => 1100101
[3,5,2,1,7,8,4,6] => [2,5,3,8,1,4,7,6] => [3,7,8,2,1,5,4,6] => 1001001
[5,8,4,2,1,7,3,6] => [2,4,8,7,5,1,3,6] => [5,7,2,1,8,4,3,6] => 1010011
[4,3,7,2,8,1,5,6] => [8,7,4,3,1,5,2,6] => [4,3,7,1,5,8,2,6] => 0010011
[4,3,7,2,1,5,6,8] => [2,7,4,3,1,5,6,8] => [4,3,7,2,1,5,6,8] => 1010010
[3,5,2,8,1,7,4,6] => [8,5,3,7,2,4,1,6] => [3,7,2,5,4,8,1,6] => 0001011
[6,3,2,8,1,4,7,5] => [8,3,6,1,7,2,4,5] => [7,3,1,6,2,4,8,5] => 0100111
[3,2,1,4,7,5,8,6] => [2,3,1,4,7,8,5,6] => [3,2,1,4,8,5,7,6] => 1100011
[5,3,2,1,8,4,6,7] => [2,3,5,8,1,4,6,7] => [8,3,2,1,5,4,6,7] => 1101001
[4,8,3,2,1,5,6,7] => [2,3,8,4,1,5,6,7] => [4,8,3,2,1,5,6,7] => 1100001
[4,3,8,2,1,5,6,7] => [2,8,4,3,1,5,6,7] => [4,3,8,2,1,5,6,7] => 1010001
[1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2] => [1,9,8,7,6,5,4,3,2] => 01111111
[8,7,6,4,5,3,2,1,9] => [2,3,5,6,4,7,8,1,9] => [8,7,6,4,5,3,2,1,9] => 11011110
[1,9,8,7,5,6,4,3,2] => [1,3,4,6,7,5,8,9,2] => [1,9,8,7,5,6,4,3,2] => 01101111
[1,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,2] => [1,10,9,8,7,6,5,4,3,2] => 011111111
[10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => 1111111110
[9,8,7,5,6,4,3,2,1,10] => [2,3,4,6,7,5,8,9,1,10] => [9,8,7,5,6,4,3,2,1,10] => 111011110
[8,7,5,4,6,3,2,1,9] => [2,3,6,5,7,4,8,1,9] => [8,7,5,4,6,3,2,1,9] => 11011110
[1,9,8,6,5,7,4,3,2] => [1,3,4,7,6,8,5,9,2] => [1,9,8,6,5,7,4,3,2] => 01101111
[1,10,9,8,6,7,5,4,3,2] => [1,3,4,5,7,8,6,9,10,2] => [1,10,9,8,6,7,5,4,3,2] => 011101111
[1,11,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,11,2] => [1,11,10,9,8,7,6,5,4,3,2] => 0111111111
[8,4,5,2,3,1,7,6] => [3,5,2,8,4,7,1,6] => [7,4,5,2,3,1,8,6] => 0101011
[8,6,7,2,5,3,4,1] => [4,7,5,3,2,8,6,1] => [5,3,8,6,7,2,4,1] => 0011011
[8,2,5,3,4,1,7,6] => [4,8,5,3,2,7,1,6] => [5,3,7,2,4,1,8,6] => 0011011
[6,2,5,3,4,1,8,7] => [4,6,5,3,2,1,8,7] => [5,3,6,2,4,1,8,7] => 0011101
[6,1,5,2,4,3,8,7] => [6,5,4,2,1,3,8,7] => [4,2,5,1,6,3,8,7] => 0011101
[6,4,5,1,3,2,8,7] => [5,3,1,6,4,2,8,7] => [3,1,6,4,5,2,8,7] => 0101101
[6,3,5,1,4,2,8,7] => [5,4,6,1,3,2,8,7] => [6,1,4,3,5,2,8,7] => 0011101
[8,3,7,5,6,2,4,1] => [4,6,8,2,7,5,3,1] => [7,5,8,2,6,3,4,1] => 0010111
[8,3,7,2,4,1,6,5] => [4,7,8,2,6,1,3,5] => [6,2,8,1,4,3,7,5] => 0010111
[8,3,5,1,4,2,7,6] => [5,4,8,1,3,7,2,6] => [7,1,4,3,5,2,8,6] => 0011011
[8,1,5,3,4,2,7,6] => [8,4,5,3,1,7,2,6] => [5,3,4,1,7,2,8,6] => 0011011
[8,4,5,1,3,2,7,6] => [5,3,1,8,4,7,2,6] => [3,1,7,4,5,2,8,6] => 0101011
[8,6,7,4,5,1,3,2] => [5,3,1,7,4,8,6,2] => [3,1,8,6,7,4,5,2] => 0101011
[8,6,7,1,5,3,4,2] => [7,4,5,3,1,8,6,2] => [5,3,4,1,8,6,7,2] => 0011011
[8,6,7,3,5,1,4,2] => [5,4,7,1,3,8,6,2] => [8,6,7,1,4,3,5,2] => 0011011
[8,5,7,3,6,1,4,2] => [6,4,7,1,8,3,5,2] => [8,1,4,3,7,5,6,2] => 0010111
[8,3,7,4,6,1,5,2] => [6,5,8,7,1,4,3,2] => [7,1,8,4,5,3,6,2] => 0001111
[8,3,7,1,6,4,5,2] => [7,5,8,6,4,1,3,2] => [6,4,8,1,5,3,7,2] => 0001111
[8,1,7,3,6,4,5,2] => [8,5,7,6,4,3,1,2] => [6,4,7,3,5,1,8,2] => 0001111
[8,1,7,5,6,3,4,2] => [8,4,6,3,7,5,1,2] => [7,5,6,3,4,1,8,2] => 0010111
[2,1,8,4,7,5,6,3] => [2,1,6,8,7,5,4,3] => [2,1,7,5,8,4,6,3] => 1000111
[8,3,7,1,6,2,5,4] => [7,6,8,5,2,1,3,4] => [5,2,8,1,6,3,7,4] => 0001111
[8,2,7,3,6,4,5,1] => [5,8,7,6,4,3,2,1] => [6,4,7,3,8,2,5,1] => 0001111
[8,2,7,3,6,1,5,4] => [6,8,7,5,1,3,2,4] => [5,1,7,3,8,2,6,4] => 0001111
[8,2,7,1,6,3,5,4] => [7,8,6,5,3,1,2,4] => [5,3,6,1,8,2,7,4] => 0001111
[8,1,7,2,4,3,6,5] => [8,7,4,2,6,3,1,5] => [4,2,6,3,7,1,8,5] => 0010111
[8,1,3,2,7,4,6,5] => [8,3,1,7,6,4,2,5] => [3,1,6,4,7,2,8,5] => 0100111
[2,1,8,3,7,4,6,5] => [2,1,8,7,6,4,3,5] => [2,1,6,4,7,3,8,5] => 1000111
[8,1,5,2,4,3,7,6] => [8,5,4,2,1,7,3,6] => [4,2,5,1,7,3,8,6] => 0011011
[8,2,7,1,4,3,6,5] => [7,8,4,1,6,3,2,5] => [4,1,6,3,8,2,7,5] => 0010111
[8,2,7,3,4,1,6,5] => [4,8,7,3,6,1,2,5] => [6,3,7,1,4,2,8,5] => 0010111
[8,2,7,5,6,3,4,1] => [4,8,6,3,7,5,2,1] => [7,5,6,3,8,2,4,1] => 0010111
[8,4,7,5,6,2,3,1] => [3,6,2,8,7,5,4,1] => [7,5,8,4,6,2,3,1] => 0100111
[8,4,7,2,3,1,6,5] => [3,7,2,8,6,1,4,5] => [6,2,3,1,8,4,7,5] => 0100111
[8,2,3,1,7,4,6,5] => [3,8,2,7,6,4,1,5] => [6,4,7,2,3,1,8,5] => 0100111
[4,2,3,1,8,5,7,6] => [3,4,2,1,8,7,5,6] => [4,2,3,1,7,5,8,6] => 0110011
[4,1,3,2,8,6,7,5] => [4,3,1,2,7,8,6,5] => [3,1,4,2,8,6,7,5] => 0110011
[8,6,7,2,3,1,5,4] => [3,7,2,5,1,8,6,4] => [5,2,3,1,8,6,7,4] => 0101011
[8,6,7,1,5,2,4,3] => [7,5,4,2,1,8,6,3] => [4,2,5,1,8,6,7,3] => 0011011
[8,6,7,1,3,2,5,4] => [7,3,1,5,2,8,6,4] => [3,1,5,2,8,6,7,4] => 0101011
[2,1,8,6,7,3,5,4] => [2,1,7,5,3,8,6,4] => [2,1,5,3,8,6,7,4] => 1001011
[2,1,8,3,7,5,6,4] => [2,1,8,6,7,5,3,4] => [2,1,7,5,6,3,8,4] => 1000111
[8,1,3,2,7,5,6,4] => [8,3,1,6,7,5,2,4] => [3,1,7,5,6,2,8,4] => 0100111
[8,1,7,5,6,2,4,3] => [8,6,4,2,7,5,1,3] => [4,2,7,5,6,1,8,3] => 0010111
[8,1,7,2,6,4,5,3] => [8,7,5,6,4,2,1,3] => [6,4,5,2,7,1,8,3] => 0001111
[8,2,7,1,6,4,5,3] => [7,8,5,6,4,1,2,3] => [6,4,5,1,8,2,7,3] => 0001111
[8,2,7,4,6,1,5,3] => [6,8,5,7,1,4,2,3] => [7,1,5,4,8,2,6,3] => 0001111
[8,2,7,4,6,3,5,1] => [5,8,6,7,3,4,2,1] => [7,3,6,4,8,2,5,1] => 0001111
[8,4,7,2,6,1,5,3] => [6,7,5,8,1,2,4,3] => [8,1,5,2,7,4,6,3] => 0001111
[8,1,7,4,6,2,5,3] => [8,6,5,7,2,4,1,3] => [7,2,5,4,6,1,8,3] => 0001111
[8,5,7,1,6,2,4,3] => [7,6,4,2,8,1,5,3] => [4,2,8,1,6,5,7,3] => 0010111
[2,1,8,5,7,3,6,4] => [2,1,7,6,8,3,5,4] => [2,1,8,3,6,5,7,4] => 1000111
[8,5,7,1,6,3,4,2] => [7,4,6,3,8,1,5,2] => [8,3,4,1,6,5,7,2] => 0010111
[8,4,7,3,6,1,5,2] => [6,5,7,8,1,3,4,2] => [8,1,7,3,5,4,6,2] => 0001111
[6,5,8,1,3,2,7,4] => [8,3,1,7,6,5,2,4] => [3,1,6,5,7,2,8,4] => 0100111
[4,5,8,6,3,2,7,1] => [7,3,6,4,5,8,2,1] => [4,5,8,6,3,2,7,1] => 0100111
[6,5,8,7,3,1,2,4] => [3,1,7,2,6,5,8,4] => [6,5,8,7,3,1,2,4] => 0100111
[6,3,1,8,4,5,7,2] => [3,6,7,8,4,2,5,1] => [8,4,7,2,5,6,3,1] => 0100111
[1,3,7,8,4,6,5,2] => [1,5,3,6,8,2,7,4] => [1,3,7,8,2,6,5,4] => 0001101
[1,5,7,8,2,4,6,3] => [1,8,6,2,5,4,7,3] => [1,5,6,2,4,7,8,3] => 0000101
[3,6,7,8,4,2,5,1] => [5,4,3,8,2,6,7,1] => [3,6,7,8,4,2,5,1] => 0011001
[2,8,3,7,1,6,5,4] => [7,2,8,5,6,1,3,4] => [2,6,5,1,8,3,7,4] => 0001111
[7,2,1,8,4,6,5,3] => [2,7,5,6,8,3,1,4] => [8,3,6,5,2,1,7,4] => 1001111
[3,2,7,8,4,6,5,1] => [5,3,2,6,8,1,7,4] => [3,2,7,8,1,6,5,4] => 0101101
[4,2,1,3,8,5,6,7] => [2,4,1,3,8,5,6,7] => [4,2,1,3,8,5,6,7] => 1010001
[7,2,5,8,3,4,6,1] => [6,7,8,3,2,4,5,1] => [8,3,7,2,4,5,6,1] => 0000111
[6,4,8,5,2,3,1,7] => [3,5,2,8,6,1,4,7] => [6,2,3,1,8,5,4,7] => 0101101
[7,3,5,8,2,4,6,1] => [6,8,7,2,3,4,5,1] => [7,2,8,3,4,5,6,1] => 0000111
[4,3,1,2,8,5,6,7] => [3,1,4,2,8,5,6,7] => [4,3,1,2,8,5,6,7] => 0110001
[3,4,2,1,8,5,6,7] => [2,4,3,1,8,5,6,7] => [3,4,2,1,8,5,6,7] => 1010001
[1,6,8,5,4,3,2,7] => [1,3,4,5,8,6,2,7] => [1,6,8,5,4,3,2,7] => 0111001
[4,6,8,1,5,3,2,7] => [8,3,5,4,1,6,2,7] => [4,5,3,1,6,8,2,7] => 0101001
[2,7,3,8,4,6,5,1] => [5,2,6,7,8,1,4,3] => [2,8,1,7,4,6,5,3] => 0001111
[7,1,3,8,4,6,5,2] => [7,5,1,6,8,2,3,4] => [8,1,6,5,2,3,7,4] => 0001111
[5,7,8,4,3,6,1,2] => [6,1,4,8,5,3,7,2] => [5,7,8,4,3,6,1,2] => 0010101
[2,8,5,4,3,1,6,7] => [3,2,4,5,8,1,6,7] => [2,8,5,4,3,1,6,7] => 0111001
[4,1,3,2,8,5,6,7] => [4,3,1,2,8,5,6,7] => [3,1,4,2,8,5,6,7] => 0110001
[1,4,3,2,8,5,6,7] => [1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => 0110001
[6,4,8,2,5,3,1,7] => [3,5,8,6,1,4,2,7] => [6,1,8,4,5,3,2,7] => 0101101
[2,8,4,3,5,1,6,7] => [5,2,4,8,3,1,6,7] => [2,8,4,3,5,1,6,7] => 0011001
[2,8,3,4,5,1,6,7] => [5,2,8,3,4,1,6,7] => [2,8,3,4,5,1,6,7] => 0001001
[4,2,3,1,8,5,6,7] => [3,4,2,1,8,5,6,7] => [4,2,3,1,8,5,6,7] => 0110001
[3,2,1,4,8,5,6,7] => [2,3,1,4,8,5,6,7] => [3,2,1,4,8,5,6,7] => 1100001
[5,1,3,2,4,8,6,7] => [5,3,1,2,4,8,6,7] => [3,1,5,2,4,8,6,7] => 0101001
[1,2,8,4,5,3,7,6] => [1,2,5,8,4,7,3,6] => [1,2,7,4,5,3,8,6] => 0001011
[8,1,5,3,2,4,6,7] => [8,3,5,2,1,4,6,7] => [5,3,2,8,1,4,6,7] => 0101001
[1,5,2,8,4,3,6,7] => [1,5,4,8,2,3,6,7] => [1,8,4,2,5,3,6,7] => 0011001
[1,2,8,5,4,3,6,7] => [1,2,4,5,8,3,6,7] => [1,2,8,5,4,3,6,7] => 0011001
[1,2,5,4,3,8,6,7] => [1,2,4,5,3,8,6,7] => [1,2,5,4,3,8,6,7] => 0011001
[1,2,7,4,8,5,3,6] => [1,2,5,8,7,4,3,6] => [1,2,7,4,8,5,3,6] => 0001011
[5,1,2,7,4,8,3,6] => [5,1,8,7,2,3,4,6] => [7,1,2,8,3,5,4,6] => 0001011
[8,3,5,1,4,7,2,6] => [5,7,8,1,3,2,4,6] => [8,1,7,3,5,2,4,6] => 0001011
[2,8,1,5,4,7,3,6] => [8,2,7,5,1,3,4,6] => [2,5,1,7,3,8,4,6] => 0001011
[1,2,8,5,7,4,3,6] => [1,2,4,7,8,3,5,6] => [1,2,8,4,3,7,5,6] => 0010011
[1,2,4,8,7,5,3,6] => [1,2,5,4,7,3,8,6] => [1,2,4,8,7,5,3,6] => 0001011
[2,8,1,4,3,7,6,5] => [8,2,4,1,6,7,3,5] => [2,4,1,7,6,3,8,5] => 0010111
[6,1,2,8,7,4,3,5] => [6,1,4,7,3,2,8,5] => [8,7,4,3,6,1,2,5] => 0010111
[3,6,4,8,1,7,2,5] => [8,7,3,6,2,4,1,5] => [3,6,2,7,4,8,1,5] => 0000111
[7,1,6,2,8,4,3,5] => [7,6,4,8,3,1,2,5] => [8,4,3,6,1,7,2,5] => 0010111
[1,6,7,2,8,4,3,5] => [1,7,4,8,3,6,2,5] => [1,6,8,4,3,7,2,5] => 0010011
[6,7,1,4,2,8,3,5] => [7,4,8,1,3,6,2,5] => [6,8,1,4,3,7,2,5] => 0010011
[6,3,7,1,4,8,2,5] => [7,8,6,1,2,3,4,5] => [6,1,8,2,7,3,4,5] => 0000111
[6,1,2,8,4,3,7,5] => [6,1,4,8,7,2,3,5] => [7,4,1,2,8,3,6,5] => 0010111
[6,4,1,2,8,3,7,5] => [4,1,6,8,7,3,2,5] => [7,3,8,4,1,2,6,5] => 0010111
[7,6,1,3,2,4,8,5] => [6,3,1,2,7,8,5,4] => [3,1,8,5,7,6,2,4] => 0100111
[6,7,1,3,2,4,8,5] => [7,3,1,2,8,6,4,5] => [3,1,6,8,2,4,7,5] => 0100011
[1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => [1,2,8,3,7,4,5,6] => 0000011
[1,2,7,5,8,3,4,6] => [1,2,8,3,7,4,5,6] => [1,2,7,3,4,8,5,6] => 0000011
[5,8,1,3,7,2,4,6] => [8,7,1,2,5,4,3,6] => [5,7,1,4,8,2,3,6] => 0000011
[1,2,5,8,7,3,4,6] => [1,2,7,3,5,4,8,6] => [1,2,5,8,7,3,4,6] => 0000011
[2,8,1,7,3,5,4,6] => [8,2,7,5,3,4,1,6] => [2,5,3,7,4,8,1,6] => 0001011
[2,8,1,7,4,3,6,5] => [8,2,4,7,6,3,1,5] => [2,6,4,3,7,1,8,5] => 0010111
[7,1,2,8,4,3,6,5] => [7,1,4,8,6,3,2,5] => [6,4,3,8,1,2,7,5] => 0010111
[1,2,8,4,7,5,3,6] => [1,2,5,7,8,4,3,6] => [1,2,8,4,7,5,3,6] => 0001011
[1,2,8,7,4,5,3,6] => [1,2,5,7,4,3,8,6] => [1,2,8,7,4,5,3,6] => 0001011
[3,8,6,1,4,7,2,5] => [6,8,3,2,1,7,4,5] => [3,7,2,8,6,1,4,5] => 0000111
[8,6,1,4,2,7,3,5] => [6,4,8,3,1,7,2,5] => [7,3,4,1,8,6,2,5] => 0010111
[7,1,2,8,6,4,3,5] => [7,1,4,6,3,8,2,5] => [8,6,4,3,7,1,2,5] => 0010111
[7,4,1,2,8,6,3,5] => [4,1,7,6,2,8,3,5] => [8,6,1,2,7,4,3,5] => 0010111
[3,7,4,8,1,6,2,5] => [8,6,3,7,2,1,4,5] => [3,7,2,6,1,8,4,5] => 0000111
[3,4,8,7,1,6,2,5] => [7,6,3,4,2,1,8,5] => [3,4,6,2,8,7,1,5] => 0000111
[4,2,8,1,7,6,3,5] => [8,4,6,2,3,7,1,5] => [7,6,2,4,3,8,1,5] => 0010111
[7,8,3,4,1,5,2,6] => [4,5,8,3,1,2,7,6] => [7,8,3,5,1,4,2,6] => 0011001
[7,8,3,4,1,6,2,5] => [4,6,8,3,2,1,7,5] => [7,8,3,6,2,4,1,5] => 0010101
[6,7,3,4,1,8,2,5] => [4,8,7,3,2,6,1,5] => [6,7,3,8,2,4,1,5] => 0010011
[5,8,3,4,1,7,2,6] => [4,7,8,3,5,2,1,6] => [5,8,3,7,2,4,1,6] => 0010011
[5,8,3,4,1,6,2,7] => [4,6,8,3,5,1,2,7] => [5,8,3,6,1,4,2,7] => 0010101
[6,7,3,4,1,5,2,8] => [4,5,7,3,1,6,2,8] => [6,7,3,5,1,4,2,8] => 0011010
[4,6,2,8,3,5,1,7] => [5,6,8,4,3,2,1,7] => [4,8,3,6,2,5,1,7] => 0001101
[4,8,3,5,1,6,2,7] => [5,6,8,4,3,1,2,7] => [4,8,3,6,1,5,2,7] => 0001101
[4,8,3,5,1,7,2,6] => [5,7,8,4,3,2,1,6] => [4,8,3,7,2,5,1,6] => 0001011
[4,7,3,5,1,8,2,6] => [5,8,7,4,3,2,1,6] => [4,7,3,8,2,5,1,6] => 0001011
[5,6,2,3,1,7,4,8] => [3,6,2,7,5,1,4,8] => [5,7,2,3,1,6,4,8] => 0100110
[5,6,2,4,1,8,3,7] => [4,6,8,2,5,1,3,7] => [5,8,2,6,1,4,3,7] => 0010101
[4,6,2,5,1,8,3,7] => [5,6,8,4,2,1,3,7] => [4,8,2,6,1,5,3,7] => 0001101
[4,5,1,8,3,7,2,6] => [5,7,8,4,1,2,3,6] => [4,8,1,7,2,5,3,6] => 0001011
[4,5,1,7,3,8,2,6] => [5,8,7,4,1,2,3,6] => [4,7,1,8,2,5,3,6] => 0001011
[5,6,2,7,3,8,1,4] => [8,6,7,1,5,2,3,4] => [5,7,1,6,2,8,3,4] => 0000111
[5,6,2,7,4,8,1,3] => [8,6,1,7,5,2,4,3] => [5,7,1,6,4,8,2,3] => 0000111
[5,6,2,8,3,7,1,4] => [7,6,8,1,5,2,3,4] => [5,8,1,6,2,7,3,4] => 0000111
[4,6,2,8,3,7,1,5] => [7,6,8,4,1,2,3,5] => [4,8,1,6,2,7,3,5] => 0000111
[4,5,1,8,3,6,2,7] => [5,6,8,4,1,3,2,7] => [4,8,1,6,3,5,2,7] => 0001101
[9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => [9,2,1,3,4,5,6,7,8] => 10000001
[10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => [10,2,1,3,4,5,6,7,8,9] => 100000001
[3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1] => [3,4,2,5,6,7,8,9,1] => 00100001
[3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,10,1] => 010000001
[2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,10,11,1] => 0000000001
[6,5,3,2,1,4,8,7] => [2,3,5,1,6,4,8,7] => [6,5,3,2,1,4,8,7] => 1101101
[4,6,3,5,2,1,8,7] => [2,5,6,4,3,1,8,7] => [4,6,3,5,2,1,8,7] => 1001101
[6,8,2,4,5,7,3,1] => [3,7,8,1,4,6,5,2] => [6,8,1,4,5,7,3,2] => 0100011
[8,7,2,4,5,3,1,6] => [3,5,7,1,4,2,8,6] => [8,7,1,4,5,3,2,6] => 0101011
[3,6,1,4,5,2,8,7] => [6,5,3,1,4,2,8,7] => [3,5,1,4,6,2,8,7] => 0001101
[8,3,7,4,5,2,1,6] => [2,5,8,7,4,1,3,6] => [7,4,8,2,1,5,3,6] => 1001011
[5,8,7,4,3,6,2,1] => [2,6,4,7,5,3,8,1] => [5,8,7,4,3,6,2,1] => 1010111
[2,8,7,4,3,6,1,5] => [6,2,4,7,1,3,8,5] => [2,8,7,4,1,6,3,5] => 0010111
[8,7,3,5,1,4,2,6] => [5,4,7,1,3,2,8,6] => [8,7,1,4,3,5,2,6] => 0011011
[2,1,6,8,5,7,4,3] => [2,1,4,7,8,6,5,3] => [2,1,6,8,5,7,4,3] => 1010011
[6,8,3,5,1,7,4,2] => [5,4,7,8,2,6,1,3] => [6,8,2,7,4,1,5,3] => 0011011
[5,1,8,4,7,6,3,2] => [5,3,6,7,1,8,2,4] => [8,3,1,7,6,2,5,4] => 0101111
[2,5,8,4,7,6,3,1] => [3,2,6,7,5,8,1,4] => [2,5,8,3,1,7,6,4] => 0100111
[4,3,8,1,5,6,7,2] => [8,7,4,3,1,5,6,2] => [4,3,7,1,5,6,8,2] => 0010011
[4,8,1,3,5,6,7,2] => [8,7,1,4,3,5,6,2] => [4,7,1,3,5,6,8,2] => 0000011
[5,8,3,6,1,4,7,2] => [6,7,8,1,5,3,4,2] => [5,8,1,7,3,4,6,2] => 0000111
[4,8,3,6,1,2,7,5] => [6,1,8,4,7,3,2,5] => [4,7,3,8,1,2,6,5] => 0000111
[3,8,7,4,1,6,2,5] => [4,7,3,6,1,2,8,5] => [3,6,1,8,7,4,2,5] => 0010111
[8,7,1,4,2,6,3,5] => [7,4,6,1,3,2,8,5] => [6,1,4,3,8,7,2,5] => 0010111
[8,6,3,1,2,4,7,5] => [3,1,6,2,8,7,5,4] => [7,5,8,6,3,1,2,4] => 0100111
[8,1,7,4,5,2,3,6] => [8,5,2,7,4,3,1,6] => [7,4,5,2,3,8,1,6] => 0001011
[2,8,7,4,5,1,3,6] => [5,2,1,7,4,3,8,6] => [2,8,7,4,5,1,3,6] => 0001011
[8,6,3,2,1,4,7,5] => [2,3,6,1,8,7,5,4] => [7,5,8,6,3,2,1,4] => 1100111
[8,7,3,5,2,1,4,6] => [2,5,7,1,3,4,8,6] => [8,7,2,1,5,3,4,6] => 1001011
[5,8,3,6,2,1,7,4] => [2,6,8,7,5,3,1,4] => [5,7,3,8,2,1,6,4] => 1000111
[5,8,7,4,2,6,1,3] => [6,4,1,7,5,2,8,3] => [5,8,7,4,1,6,2,3] => 0010111
[2,6,8,4,5,7,1,3] => [7,2,1,8,4,6,5,3] => [2,6,8,4,5,7,1,3] => 0000011
[6,1,8,4,5,7,2,3] => [6,7,2,8,4,1,5,3] => [8,4,7,2,5,6,1,3] => 0000111
[6,8,3,5,1,7,2,4] => [5,7,8,2,3,6,1,4] => [6,8,2,7,3,5,1,4] => 0001011
[2,1,5,8,3,6,7,4] => [2,1,8,7,5,3,6,4] => [2,1,5,7,3,6,8,4] => 1000011
[5,8,3,6,1,2,7,4] => [6,1,8,7,5,3,2,4] => [5,7,3,8,1,2,6,4] => 0000111
[4,1,8,2,5,6,7,3] => [4,8,7,1,2,5,6,3] => [7,1,5,6,8,2,4,3] => 0010011
[2,4,8,1,5,6,7,3] => [8,2,7,4,1,5,6,3] => [2,4,7,1,5,6,8,3] => 0000011
[3,4,8,2,5,6,7,1] => [7,8,3,4,2,5,6,1] => [3,4,8,2,5,6,7,1] => 0000011
[5,8,1,4,7,6,2,3] => [8,6,2,1,5,7,4,3] => [5,7,6,2,4,8,1,3] => 0000111
[4,5,3,8,6,1,7,2] => [6,8,5,4,3,7,2,1] => [4,5,3,7,2,8,6,1] => 0001111
[2,4,6,8,10,1,3,5,7,9] => [10,2,1,4,3,6,5,8,7,9] => [2,4,6,8,10,1,3,5,7,9] => 000000001
[2,4,6,9,10,1,3,5,7,8] => [10,2,1,4,3,6,5,7,9,8] => [2,4,6,9,10,1,3,5,7,8] => 000000001
[2,4,7,8,10,1,3,5,6,9] => [10,2,1,4,3,5,7,8,6,9] => [2,4,7,8,10,1,3,5,6,9] => 000000001
[2,4,7,9,10,1,3,5,6,8] => [10,2,1,4,3,5,7,6,9,8] => [2,4,7,9,10,1,3,5,6,8] => 000000001
[2,4,8,9,10,1,3,5,6,7] => [10,2,1,4,3,5,6,8,9,7] => [2,4,8,9,10,1,3,5,6,7] => 000000001
[2,5,6,8,10,1,3,4,7,9] => [10,2,1,3,5,6,4,8,7,9] => [2,5,6,8,10,1,3,4,7,9] => 000000001
[2,5,6,9,10,1,3,4,7,8] => [10,2,1,3,5,6,4,7,9,8] => [2,5,6,9,10,1,3,4,7,8] => 000000001
[2,5,7,8,10,1,3,4,6,9] => [10,2,1,3,5,4,7,8,6,9] => [2,5,7,8,10,1,3,4,6,9] => 000000001
[2,5,7,9,10,1,3,4,6,8] => [10,2,1,3,5,4,7,6,9,8] => [2,5,7,9,10,1,3,4,6,8] => 000000001
[2,5,8,9,10,1,3,4,6,7] => [10,2,1,3,5,4,6,8,9,7] => [2,5,8,9,10,1,3,4,6,7] => 000000001
[2,6,7,8,10,1,3,4,5,9] => [10,2,1,3,4,6,7,8,5,9] => [2,6,7,8,10,1,3,4,5,9] => 000000001
[2,6,7,9,10,1,3,4,5,8] => [10,2,1,3,4,6,7,5,9,8] => [2,6,7,9,10,1,3,4,5,8] => 000000001
[2,6,8,9,10,1,3,4,5,7] => [10,2,1,3,4,6,5,8,9,7] => [2,6,8,9,10,1,3,4,5,7] => 000000001
[2,7,8,9,10,1,3,4,5,6] => [10,2,1,3,4,5,7,8,9,6] => [2,7,8,9,10,1,3,4,5,6] => 000000001
[3,4,6,8,10,1,2,5,7,9] => [10,1,3,4,2,6,5,8,7,9] => [3,4,6,8,10,1,2,5,7,9] => 000000001
[3,4,6,9,10,1,2,5,7,8] => [10,1,3,4,2,6,5,7,9,8] => [3,4,6,9,10,1,2,5,7,8] => 000000001
[3,4,7,8,10,1,2,5,6,9] => [10,1,3,4,2,5,7,8,6,9] => [3,4,7,8,10,1,2,5,6,9] => 000000001
[3,4,7,9,10,1,2,5,6,8] => [10,1,3,4,2,5,7,6,9,8] => [3,4,7,9,10,1,2,5,6,8] => 000000001
[3,4,8,9,10,1,2,5,6,7] => [10,1,3,4,2,5,6,8,9,7] => [3,4,8,9,10,1,2,5,6,7] => 000000001
[3,5,6,8,10,1,2,4,7,9] => [10,1,3,2,5,6,4,8,7,9] => [3,5,6,8,10,1,2,4,7,9] => 000000001
[3,5,6,9,10,1,2,4,7,8] => [10,1,3,2,5,6,4,7,9,8] => [3,5,6,9,10,1,2,4,7,8] => 000000001
[3,5,7,8,10,1,2,4,6,9] => [10,1,3,2,5,4,7,8,6,9] => [3,5,7,8,10,1,2,4,6,9] => 000000001
[3,5,7,9,10,1,2,4,6,8] => [10,1,3,2,5,4,7,6,9,8] => [3,5,7,9,10,1,2,4,6,8] => 000000001
[3,5,8,9,10,1,2,4,6,7] => [10,1,3,2,5,4,6,8,9,7] => [3,5,8,9,10,1,2,4,6,7] => 000000001
[3,6,7,8,10,1,2,4,5,9] => [10,1,3,2,4,6,7,8,5,9] => [3,6,7,8,10,1,2,4,5,9] => 000000001
[3,6,7,9,10,1,2,4,5,8] => [10,1,3,2,4,6,7,5,9,8] => [3,6,7,9,10,1,2,4,5,8] => 000000001
[3,6,8,9,10,1,2,4,5,7] => [10,1,3,2,4,6,5,8,9,7] => [3,6,8,9,10,1,2,4,5,7] => 000000001
[3,7,8,9,10,1,2,4,5,6] => [10,1,3,2,4,5,7,8,9,6] => [3,7,8,9,10,1,2,4,5,6] => 000000001
[4,5,6,8,10,1,2,3,7,9] => [10,1,2,4,5,6,3,8,7,9] => [4,5,6,8,10,1,2,3,7,9] => 000000001
[4,5,6,9,10,1,2,3,7,8] => [10,1,2,4,5,6,3,7,9,8] => [4,5,6,9,10,1,2,3,7,8] => 000000001
[4,5,7,8,10,1,2,3,6,9] => [10,1,2,4,5,3,7,8,6,9] => [4,5,7,8,10,1,2,3,6,9] => 000000001
[4,5,7,9,10,1,2,3,6,8] => [10,1,2,4,5,3,7,6,9,8] => [4,5,7,9,10,1,2,3,6,8] => 000000001
[4,5,8,9,10,1,2,3,6,7] => [10,1,2,4,5,3,6,8,9,7] => [4,5,8,9,10,1,2,3,6,7] => 000000001
[4,6,7,8,10,1,2,3,5,9] => [10,1,2,4,3,6,7,8,5,9] => [4,6,7,8,10,1,2,3,5,9] => 000000001
[4,6,7,9,10,1,2,3,5,8] => [10,1,2,4,3,6,7,5,9,8] => [4,6,7,9,10,1,2,3,5,8] => 000000001
[4,6,8,9,10,1,2,3,5,7] => [10,1,2,4,3,6,5,8,9,7] => [4,6,8,9,10,1,2,3,5,7] => 000000001
[4,7,8,9,10,1,2,3,5,6] => [10,1,2,4,3,5,7,8,9,6] => [4,7,8,9,10,1,2,3,5,6] => 000000001
[5,6,7,8,10,1,2,3,4,9] => [10,1,2,3,5,6,7,8,4,9] => [5,6,7,8,10,1,2,3,4,9] => 000000001
[5,6,7,9,10,1,2,3,4,8] => [10,1,2,3,5,6,7,4,9,8] => [5,6,7,9,10,1,2,3,4,8] => 000000001
[5,6,8,9,10,1,2,3,4,7] => [10,1,2,3,5,6,4,8,9,7] => [5,6,8,9,10,1,2,3,4,7] => 000000001
[5,7,8,9,10,1,2,3,4,6] => [10,1,2,3,5,4,7,8,9,6] => [5,7,8,9,10,1,2,3,4,6] => 000000001
[2,4,6,8,10,12,1,3,5,7,9,11] => [12,2,1,4,3,6,5,8,7,10,9,11] => [2,4,6,8,10,12,1,3,5,7,9,11] => 00000000001
[2,4,6,8,11,12,1,3,5,7,9,10] => [12,2,1,4,3,6,5,8,7,9,11,10] => [2,4,6,8,11,12,1,3,5,7,9,10] => 00000000001
[2,4,6,9,10,12,1,3,5,7,8,11] => [12,2,1,4,3,6,5,7,9,10,8,11] => [2,4,6,9,10,12,1,3,5,7,8,11] => 00000000001
[2,4,6,9,11,12,1,3,5,7,8,10] => [12,2,1,4,3,6,5,7,9,8,11,10] => [2,4,6,9,11,12,1,3,5,7,8,10] => 00000000001
[2,4,6,10,11,12,1,3,5,7,8,9] => [12,2,1,4,3,6,5,7,8,10,11,9] => [2,4,6,10,11,12,1,3,5,7,8,9] => 00000000001
[2,4,7,8,10,12,1,3,5,6,9,11] => [12,2,1,4,3,5,7,8,6,10,9,11] => [2,4,7,8,10,12,1,3,5,6,9,11] => 00000000001
[2,4,7,8,11,12,1,3,5,6,9,10] => [12,2,1,4,3,5,7,8,6,9,11,10] => [2,4,7,8,11,12,1,3,5,6,9,10] => 00000000001
[2,4,7,9,10,12,1,3,5,6,8,11] => [12,2,1,4,3,5,7,6,9,10,8,11] => [2,4,7,9,10,12,1,3,5,6,8,11] => 00000000001
[2,4,7,9,11,12,1,3,5,6,8,10] => [12,2,1,4,3,5,7,6,9,8,11,10] => [2,4,7,9,11,12,1,3,5,6,8,10] => 00000000001
[2,4,7,10,11,12,1,3,5,6,8,9] => [12,2,1,4,3,5,7,6,8,10,11,9] => [2,4,7,10,11,12,1,3,5,6,8,9] => 00000000001
[2,4,8,9,10,12,1,3,5,6,7,11] => [12,2,1,4,3,5,6,8,9,10,7,11] => [2,4,8,9,10,12,1,3,5,6,7,11] => 00000000001
[2,4,8,9,11,12,1,3,5,6,7,10] => [12,2,1,4,3,5,6,8,9,7,11,10] => [2,4,8,9,11,12,1,3,5,6,7,10] => 00000000001
[2,4,8,10,11,12,1,3,5,6,7,9] => [12,2,1,4,3,5,6,8,7,10,11,9] => [2,4,8,10,11,12,1,3,5,6,7,9] => 00000000001
[2,4,9,10,11,12,1,3,5,6,7,8] => [12,2,1,4,3,5,6,7,9,10,11,8] => [2,4,9,10,11,12,1,3,5,6,7,8] => 00000000001
[2,5,6,8,10,12,1,3,4,7,9,11] => [12,2,1,3,5,6,4,8,7,10,9,11] => [2,5,6,8,10,12,1,3,4,7,9,11] => 00000000001
[2,5,6,8,11,12,1,3,4,7,9,10] => [12,2,1,3,5,6,4,8,7,9,11,10] => [2,5,6,8,11,12,1,3,4,7,9,10] => 00000000001
[2,5,6,9,10,12,1,3,4,7,8,11] => [12,2,1,3,5,6,4,7,9,10,8,11] => [2,5,6,9,10,12,1,3,4,7,8,11] => 00000000001
[2,5,6,9,11,12,1,3,4,7,8,10] => [12,2,1,3,5,6,4,7,9,8,11,10] => [2,5,6,9,11,12,1,3,4,7,8,10] => 00000000001
[2,5,6,10,11,12,1,3,4,7,8,9] => [12,2,1,3,5,6,4,7,8,10,11,9] => [2,5,6,10,11,12,1,3,4,7,8,9] => 00000000001
[2,5,7,8,10,12,1,3,4,6,9,11] => [12,2,1,3,5,4,7,8,6,10,9,11] => [2,5,7,8,10,12,1,3,4,6,9,11] => 00000000001
[2,5,7,8,11,12,1,3,4,6,9,10] => [12,2,1,3,5,4,7,8,6,9,11,10] => [2,5,7,8,11,12,1,3,4,6,9,10] => 00000000001
[2,5,7,9,10,12,1,3,4,6,8,11] => [12,2,1,3,5,4,7,6,9,10,8,11] => [2,5,7,9,10,12,1,3,4,6,8,11] => 00000000001
[2,5,7,9,11,12,1,3,4,6,8,10] => [12,2,1,3,5,4,7,6,9,8,11,10] => [2,5,7,9,11,12,1,3,4,6,8,10] => 00000000001
[2,5,7,10,11,12,1,3,4,6,8,9] => [12,2,1,3,5,4,7,6,8,10,11,9] => [2,5,7,10,11,12,1,3,4,6,8,9] => 00000000001
[2,5,8,9,10,12,1,3,4,6,7,11] => [12,2,1,3,5,4,6,8,9,10,7,11] => [2,5,8,9,10,12,1,3,4,6,7,11] => 00000000001
[2,5,8,9,11,12,1,3,4,6,7,10] => [12,2,1,3,5,4,6,8,9,7,11,10] => [2,5,8,9,11,12,1,3,4,6,7,10] => 00000000001
[2,5,8,10,11,12,1,3,4,6,7,9] => [12,2,1,3,5,4,6,8,7,10,11,9] => [2,5,8,10,11,12,1,3,4,6,7,9] => 00000000001
[2,5,9,10,11,12,1,3,4,6,7,8] => [12,2,1,3,5,4,6,7,9,10,11,8] => [2,5,9,10,11,12,1,3,4,6,7,8] => 00000000001
[2,6,7,8,10,12,1,3,4,5,9,11] => [12,2,1,3,4,6,7,8,5,10,9,11] => [2,6,7,8,10,12,1,3,4,5,9,11] => 00000000001
[2,6,7,8,11,12,1,3,4,5,9,10] => [12,2,1,3,4,6,7,8,5,9,11,10] => [2,6,7,8,11,12,1,3,4,5,9,10] => 00000000001
[2,6,7,9,10,12,1,3,4,5,8,11] => [12,2,1,3,4,6,7,5,9,10,8,11] => [2,6,7,9,10,12,1,3,4,5,8,11] => 00000000001
[2,6,7,9,11,12,1,3,4,5,8,10] => [12,2,1,3,4,6,7,5,9,8,11,10] => [2,6,7,9,11,12,1,3,4,5,8,10] => 00000000001
[2,6,7,10,11,12,1,3,4,5,8,9] => [12,2,1,3,4,6,7,5,8,10,11,9] => [2,6,7,10,11,12,1,3,4,5,8,9] => 00000000001
[2,6,8,9,10,12,1,3,4,5,7,11] => [12,2,1,3,4,6,5,8,9,10,7,11] => [2,6,8,9,10,12,1,3,4,5,7,11] => 00000000001
[2,6,8,9,11,12,1,3,4,5,7,10] => [12,2,1,3,4,6,5,8,9,7,11,10] => [2,6,8,9,11,12,1,3,4,5,7,10] => 00000000001
[2,6,8,10,11,12,1,3,4,5,7,9] => [12,2,1,3,4,6,5,8,7,10,11,9] => [2,6,8,10,11,12,1,3,4,5,7,9] => 00000000001
[2,6,9,10,11,12,1,3,4,5,7,8] => [12,2,1,3,4,6,5,7,9,10,11,8] => [2,6,9,10,11,12,1,3,4,5,7,8] => 00000000001
[2,7,8,9,10,12,1,3,4,5,6,11] => [12,2,1,3,4,5,7,8,9,10,6,11] => [2,7,8,9,10,12,1,3,4,5,6,11] => 00000000001
[2,7,8,9,11,12,1,3,4,5,6,10] => [12,2,1,3,4,5,7,8,9,6,11,10] => [2,7,8,9,11,12,1,3,4,5,6,10] => 00000000001
[2,7,8,10,11,12,1,3,4,5,6,9] => [12,2,1,3,4,5,7,8,6,10,11,9] => [2,7,8,10,11,12,1,3,4,5,6,9] => 00000000001
[2,7,9,10,11,12,1,3,4,5,6,8] => [12,2,1,3,4,5,7,6,9,10,11,8] => [2,7,9,10,11,12,1,3,4,5,6,8] => 00000000001
[2,8,9,10,11,12,1,3,4,5,6,7] => [12,2,1,3,4,5,6,8,9,10,11,7] => [2,8,9,10,11,12,1,3,4,5,6,7] => 00000000001
[3,4,6,8,10,12,1,2,5,7,9,11] => [12,1,3,4,2,6,5,8,7,10,9,11] => [3,4,6,8,10,12,1,2,5,7,9,11] => 00000000001
[3,4,6,8,11,12,1,2,5,7,9,10] => [12,1,3,4,2,6,5,8,7,9,11,10] => [3,4,6,8,11,12,1,2,5,7,9,10] => 00000000001
[3,4,6,9,10,12,1,2,5,7,8,11] => [12,1,3,4,2,6,5,7,9,10,8,11] => [3,4,6,9,10,12,1,2,5,7,8,11] => 00000000001
[3,4,6,9,11,12,1,2,5,7,8,10] => [12,1,3,4,2,6,5,7,9,8,11,10] => [3,4,6,9,11,12,1,2,5,7,8,10] => 00000000001
[3,4,6,10,11,12,1,2,5,7,8,9] => [12,1,3,4,2,6,5,7,8,10,11,9] => [3,4,6,10,11,12,1,2,5,7,8,9] => 00000000001
[3,4,7,8,10,12,1,2,5,6,9,11] => [12,1,3,4,2,5,7,8,6,10,9,11] => [3,4,7,8,10,12,1,2,5,6,9,11] => 00000000001
[3,4,7,8,11,12,1,2,5,6,9,10] => [12,1,3,4,2,5,7,8,6,9,11,10] => [3,4,7,8,11,12,1,2,5,6,9,10] => 00000000001
[3,4,7,9,10,12,1,2,5,6,8,11] => [12,1,3,4,2,5,7,6,9,10,8,11] => [3,4,7,9,10,12,1,2,5,6,8,11] => 00000000001
[3,4,7,9,11,12,1,2,5,6,8,10] => [12,1,3,4,2,5,7,6,9,8,11,10] => [3,4,7,9,11,12,1,2,5,6,8,10] => 00000000001
[3,4,7,10,11,12,1,2,5,6,8,9] => [12,1,3,4,2,5,7,6,8,10,11,9] => [3,4,7,10,11,12,1,2,5,6,8,9] => 00000000001
[3,4,8,9,10,12,1,2,5,6,7,11] => [12,1,3,4,2,5,6,8,9,10,7,11] => [3,4,8,9,10,12,1,2,5,6,7,11] => 00000000001
[3,4,8,9,11,12,1,2,5,6,7,10] => [12,1,3,4,2,5,6,8,9,7,11,10] => [3,4,8,9,11,12,1,2,5,6,7,10] => 00000000001
[3,4,8,10,11,12,1,2,5,6,7,9] => [12,1,3,4,2,5,6,8,7,10,11,9] => [3,4,8,10,11,12,1,2,5,6,7,9] => 00000000001
[3,4,9,10,11,12,1,2,5,6,7,8] => [12,1,3,4,2,5,6,7,9,10,11,8] => [3,4,9,10,11,12,1,2,5,6,7,8] => 00000000001
[3,5,6,8,10,12,1,2,4,7,9,11] => [12,1,3,2,5,6,4,8,7,10,9,11] => [3,5,6,8,10,12,1,2,4,7,9,11] => 00000000001
[3,5,6,8,11,12,1,2,4,7,9,10] => [12,1,3,2,5,6,4,8,7,9,11,10] => [3,5,6,8,11,12,1,2,4,7,9,10] => 00000000001
[3,5,6,9,10,12,1,2,4,7,8,11] => [12,1,3,2,5,6,4,7,9,10,8,11] => [3,5,6,9,10,12,1,2,4,7,8,11] => 00000000001
[3,5,6,9,11,12,1,2,4,7,8,10] => [12,1,3,2,5,6,4,7,9,8,11,10] => [3,5,6,9,11,12,1,2,4,7,8,10] => 00000000001
[3,5,6,10,11,12,1,2,4,7,8,9] => [12,1,3,2,5,6,4,7,8,10,11,9] => [3,5,6,10,11,12,1,2,4,7,8,9] => 00000000001
[3,5,7,8,10,12,1,2,4,6,9,11] => [12,1,3,2,5,4,7,8,6,10,9,11] => [3,5,7,8,10,12,1,2,4,6,9,11] => 00000000001
[3,5,7,8,11,12,1,2,4,6,9,10] => [12,1,3,2,5,4,7,8,6,9,11,10] => [3,5,7,8,11,12,1,2,4,6,9,10] => 00000000001
[3,5,7,9,10,12,1,2,4,6,8,11] => [12,1,3,2,5,4,7,6,9,10,8,11] => [3,5,7,9,10,12,1,2,4,6,8,11] => 00000000001
[3,5,7,9,11,12,1,2,4,6,8,10] => [12,1,3,2,5,4,7,6,9,8,11,10] => [3,5,7,9,11,12,1,2,4,6,8,10] => 00000000001
[3,5,7,10,11,12,1,2,4,6,8,9] => [12,1,3,2,5,4,7,6,8,10,11,9] => [3,5,7,10,11,12,1,2,4,6,8,9] => 00000000001
[3,5,8,9,10,12,1,2,4,6,7,11] => [12,1,3,2,5,4,6,8,9,10,7,11] => [3,5,8,9,10,12,1,2,4,6,7,11] => 00000000001
[3,5,8,9,11,12,1,2,4,6,7,10] => [12,1,3,2,5,4,6,8,9,7,11,10] => [3,5,8,9,11,12,1,2,4,6,7,10] => 00000000001
[3,5,8,10,11,12,1,2,4,6,7,9] => [12,1,3,2,5,4,6,8,7,10,11,9] => [3,5,8,10,11,12,1,2,4,6,7,9] => 00000000001
[3,5,9,10,11,12,1,2,4,6,7,8] => [12,1,3,2,5,4,6,7,9,10,11,8] => [3,5,9,10,11,12,1,2,4,6,7,8] => 00000000001
[3,6,7,8,10,12,1,2,4,5,9,11] => [12,1,3,2,4,6,7,8,5,10,9,11] => [3,6,7,8,10,12,1,2,4,5,9,11] => 00000000001
[3,6,7,8,11,12,1,2,4,5,9,10] => [12,1,3,2,4,6,7,8,5,9,11,10] => [3,6,7,8,11,12,1,2,4,5,9,10] => 00000000001
[3,6,7,9,10,12,1,2,4,5,8,11] => [12,1,3,2,4,6,7,5,9,10,8,11] => [3,6,7,9,10,12,1,2,4,5,8,11] => 00000000001
[3,6,7,9,11,12,1,2,4,5,8,10] => [12,1,3,2,4,6,7,5,9,8,11,10] => [3,6,7,9,11,12,1,2,4,5,8,10] => 00000000001
[3,6,7,10,11,12,1,2,4,5,8,9] => [12,1,3,2,4,6,7,5,8,10,11,9] => [3,6,7,10,11,12,1,2,4,5,8,9] => 00000000001
[3,6,8,9,10,12,1,2,4,5,7,11] => [12,1,3,2,4,6,5,8,9,10,7,11] => [3,6,8,9,10,12,1,2,4,5,7,11] => 00000000001
[3,6,8,9,11,12,1,2,4,5,7,10] => [12,1,3,2,4,6,5,8,9,7,11,10] => [3,6,8,9,11,12,1,2,4,5,7,10] => 00000000001
[3,6,8,10,11,12,1,2,4,5,7,9] => [12,1,3,2,4,6,5,8,7,10,11,9] => [3,6,8,10,11,12,1,2,4,5,7,9] => 00000000001
[3,6,9,10,11,12,1,2,4,5,7,8] => [12,1,3,2,4,6,5,7,9,10,11,8] => [3,6,9,10,11,12,1,2,4,5,7,8] => 00000000001
[3,7,8,9,10,12,1,2,4,5,6,11] => [12,1,3,2,4,5,7,8,9,10,6,11] => [3,7,8,9,10,12,1,2,4,5,6,11] => 00000000001
[3,7,8,9,11,12,1,2,4,5,6,10] => [12,1,3,2,4,5,7,8,9,6,11,10] => [3,7,8,9,11,12,1,2,4,5,6,10] => 00000000001
[3,7,8,10,11,12,1,2,4,5,6,9] => [12,1,3,2,4,5,7,8,6,10,11,9] => [3,7,8,10,11,12,1,2,4,5,6,9] => 00000000001
[3,7,9,10,11,12,1,2,4,5,6,8] => [12,1,3,2,4,5,7,6,9,10,11,8] => [3,7,9,10,11,12,1,2,4,5,6,8] => 00000000001
[3,8,9,10,11,12,1,2,4,5,6,7] => [12,1,3,2,4,5,6,8,9,10,11,7] => [3,8,9,10,11,12,1,2,4,5,6,7] => 00000000001
[4,5,6,8,10,12,1,2,3,7,9,11] => [12,1,2,4,5,6,3,8,7,10,9,11] => [4,5,6,8,10,12,1,2,3,7,9,11] => 00000000001
[4,5,6,8,11,12,1,2,3,7,9,10] => [12,1,2,4,5,6,3,8,7,9,11,10] => [4,5,6,8,11,12,1,2,3,7,9,10] => 00000000001
[4,5,6,9,10,12,1,2,3,7,8,11] => [12,1,2,4,5,6,3,7,9,10,8,11] => [4,5,6,9,10,12,1,2,3,7,8,11] => 00000000001
[4,5,6,9,11,12,1,2,3,7,8,10] => [12,1,2,4,5,6,3,7,9,8,11,10] => [4,5,6,9,11,12,1,2,3,7,8,10] => 00000000001
[4,5,6,10,11,12,1,2,3,7,8,9] => [12,1,2,4,5,6,3,7,8,10,11,9] => [4,5,6,10,11,12,1,2,3,7,8,9] => 00000000001
[4,5,7,8,10,12,1,2,3,6,9,11] => [12,1,2,4,5,3,7,8,6,10,9,11] => [4,5,7,8,10,12,1,2,3,6,9,11] => 00000000001
[4,5,7,8,11,12,1,2,3,6,9,10] => [12,1,2,4,5,3,7,8,6,9,11,10] => [4,5,7,8,11,12,1,2,3,6,9,10] => 00000000001
[4,5,7,9,10,12,1,2,3,6,8,11] => [12,1,2,4,5,3,7,6,9,10,8,11] => [4,5,7,9,10,12,1,2,3,6,8,11] => 00000000001
[4,5,7,9,11,12,1,2,3,6,8,10] => [12,1,2,4,5,3,7,6,9,8,11,10] => [4,5,7,9,11,12,1,2,3,6,8,10] => 00000000001
[4,5,7,10,11,12,1,2,3,6,8,9] => [12,1,2,4,5,3,7,6,8,10,11,9] => [4,5,7,10,11,12,1,2,3,6,8,9] => 00000000001
[4,5,8,9,10,12,1,2,3,6,7,11] => [12,1,2,4,5,3,6,8,9,10,7,11] => [4,5,8,9,10,12,1,2,3,6,7,11] => 00000000001
[4,5,8,9,11,12,1,2,3,6,7,10] => [12,1,2,4,5,3,6,8,9,7,11,10] => [4,5,8,9,11,12,1,2,3,6,7,10] => 00000000001
[4,5,8,10,11,12,1,2,3,6,7,9] => [12,1,2,4,5,3,6,8,7,10,11,9] => [4,5,8,10,11,12,1,2,3,6,7,9] => 00000000001
[4,5,9,10,11,12,1,2,3,6,7,8] => [12,1,2,4,5,3,6,7,9,10,11,8] => [4,5,9,10,11,12,1,2,3,6,7,8] => 00000000001
[4,6,7,8,10,12,1,2,3,5,9,11] => [12,1,2,4,3,6,7,8,5,10,9,11] => [4,6,7,8,10,12,1,2,3,5,9,11] => 00000000001
[4,6,7,8,11,12,1,2,3,5,9,10] => [12,1,2,4,3,6,7,8,5,9,11,10] => [4,6,7,8,11,12,1,2,3,5,9,10] => 00000000001
[4,6,7,9,10,12,1,2,3,5,8,11] => [12,1,2,4,3,6,7,5,9,10,8,11] => [4,6,7,9,10,12,1,2,3,5,8,11] => 00000000001
[4,6,7,9,11,12,1,2,3,5,8,10] => [12,1,2,4,3,6,7,5,9,8,11,10] => [4,6,7,9,11,12,1,2,3,5,8,10] => 00000000001
[4,6,7,10,11,12,1,2,3,5,8,9] => [12,1,2,4,3,6,7,5,8,10,11,9] => [4,6,7,10,11,12,1,2,3,5,8,9] => 00000000001
[4,6,8,9,10,12,1,2,3,5,7,11] => [12,1,2,4,3,6,5,8,9,10,7,11] => [4,6,8,9,10,12,1,2,3,5,7,11] => 00000000001
[4,6,8,9,11,12,1,2,3,5,7,10] => [12,1,2,4,3,6,5,8,9,7,11,10] => [4,6,8,9,11,12,1,2,3,5,7,10] => 00000000001
[4,6,8,10,11,12,1,2,3,5,7,9] => [12,1,2,4,3,6,5,8,7,10,11,9] => [4,6,8,10,11,12,1,2,3,5,7,9] => 00000000001
[4,6,9,10,11,12,1,2,3,5,7,8] => [12,1,2,4,3,6,5,7,9,10,11,8] => [4,6,9,10,11,12,1,2,3,5,7,8] => 00000000001
[4,7,8,9,10,12,1,2,3,5,6,11] => [12,1,2,4,3,5,7,8,9,10,6,11] => [4,7,8,9,10,12,1,2,3,5,6,11] => 00000000001
[4,7,8,9,11,12,1,2,3,5,6,10] => [12,1,2,4,3,5,7,8,9,6,11,10] => [4,7,8,9,11,12,1,2,3,5,6,10] => 00000000001
[4,7,8,10,11,12,1,2,3,5,6,9] => [12,1,2,4,3,5,7,8,6,10,11,9] => [4,7,8,10,11,12,1,2,3,5,6,9] => 00000000001
[4,7,9,10,11,12,1,2,3,5,6,8] => [12,1,2,4,3,5,7,6,9,10,11,8] => [4,7,9,10,11,12,1,2,3,5,6,8] => 00000000001
[4,8,9,10,11,12,1,2,3,5,6,7] => [12,1,2,4,3,5,6,8,9,10,11,7] => [4,8,9,10,11,12,1,2,3,5,6,7] => 00000000001
[5,6,7,8,10,12,1,2,3,4,9,11] => [12,1,2,3,5,6,7,8,4,10,9,11] => [5,6,7,8,10,12,1,2,3,4,9,11] => 00000000001
[5,6,7,8,11,12,1,2,3,4,9,10] => [12,1,2,3,5,6,7,8,4,9,11,10] => [5,6,7,8,11,12,1,2,3,4,9,10] => 00000000001
[5,6,7,9,10,12,1,2,3,4,8,11] => [12,1,2,3,5,6,7,4,9,10,8,11] => [5,6,7,9,10,12,1,2,3,4,8,11] => 00000000001
[5,6,7,9,11,12,1,2,3,4,8,10] => [12,1,2,3,5,6,7,4,9,8,11,10] => [5,6,7,9,11,12,1,2,3,4,8,10] => 00000000001
[5,6,7,10,11,12,1,2,3,4,8,9] => [12,1,2,3,5,6,7,4,8,10,11,9] => [5,6,7,10,11,12,1,2,3,4,8,9] => 00000000001
[5,6,8,9,10,12,1,2,3,4,7,11] => [12,1,2,3,5,6,4,8,9,10,7,11] => [5,6,8,9,10,12,1,2,3,4,7,11] => 00000000001
[5,6,8,9,11,12,1,2,3,4,7,10] => [12,1,2,3,5,6,4,8,9,7,11,10] => [5,6,8,9,11,12,1,2,3,4,7,10] => 00000000001
[5,6,8,10,11,12,1,2,3,4,7,9] => [12,1,2,3,5,6,4,8,7,10,11,9] => [5,6,8,10,11,12,1,2,3,4,7,9] => 00000000001
[5,6,9,10,11,12,1,2,3,4,7,8] => [12,1,2,3,5,6,4,7,9,10,11,8] => [5,6,9,10,11,12,1,2,3,4,7,8] => 00000000001
[5,7,8,9,10,12,1,2,3,4,6,11] => [12,1,2,3,5,4,7,8,9,10,6,11] => [5,7,8,9,10,12,1,2,3,4,6,11] => 00000000001
[5,7,8,9,11,12,1,2,3,4,6,10] => [12,1,2,3,5,4,7,8,9,6,11,10] => [5,7,8,9,11,12,1,2,3,4,6,10] => 00000000001
[5,7,8,10,11,12,1,2,3,4,6,9] => [12,1,2,3,5,4,7,8,6,10,11,9] => [5,7,8,10,11,12,1,2,3,4,6,9] => 00000000001
[5,7,9,10,11,12,1,2,3,4,6,8] => [12,1,2,3,5,4,7,6,9,10,11,8] => [5,7,9,10,11,12,1,2,3,4,6,8] => 00000000001
[5,8,9,10,11,12,1,2,3,4,6,7] => [12,1,2,3,5,4,6,8,9,10,11,7] => [5,8,9,10,11,12,1,2,3,4,6,7] => 00000000001
[6,7,8,9,10,12,1,2,3,4,5,11] => [12,1,2,3,4,6,7,8,9,10,5,11] => [6,7,8,9,10,12,1,2,3,4,5,11] => 00000000001
[6,7,8,9,11,12,1,2,3,4,5,10] => [12,1,2,3,4,6,7,8,9,5,11,10] => [6,7,8,9,11,12,1,2,3,4,5,10] => 00000000001
[6,7,8,10,11,12,1,2,3,4,5,9] => [12,1,2,3,4,6,7,8,5,10,11,9] => [6,7,8,10,11,12,1,2,3,4,5,9] => 00000000001
[6,7,9,10,11,12,1,2,3,4,5,8] => [12,1,2,3,4,6,7,5,9,10,11,8] => [6,7,9,10,11,12,1,2,3,4,5,8] => 00000000001
[6,8,9,10,11,12,1,2,3,4,5,7] => [12,1,2,3,4,6,5,8,9,10,11,7] => [6,8,9,10,11,12,1,2,3,4,5,7] => 00000000001
[7,8,9,10,11,12,1,2,3,4,5,6] => [12,1,2,3,4,5,7,8,9,10,11,6] => [7,8,9,10,11,12,1,2,3,4,5,6] => 00000000001
[4,5,7,6,2,3,8,1] => [8,6,2,4,5,7,3,1] => [4,5,7,6,2,3,8,1] => 0000111
[3,5,7,2,6,4,8,1] => [8,7,3,6,5,2,4,1] => [3,5,6,2,7,4,8,1] => 0000111
[2,5,7,3,6,4,8,1] => [8,2,7,6,5,3,4,1] => [2,5,6,3,7,4,8,1] => 0000111
[2,8,4,7,1,6,5,3] => [7,2,5,6,8,1,3,4] => [2,8,1,6,5,3,7,4] => 0001111
[8,1,3,2,7,6,5,4] => [8,3,1,5,6,7,2,4] => [3,1,7,6,5,2,8,4] => 0101111
[2,8,3,1,7,6,5,4] => [3,2,8,5,6,7,1,4] => [2,7,6,5,3,1,8,4] => 0101111
[3,8,2,1,7,6,5,4] => [2,8,3,5,6,7,1,4] => [3,7,6,5,2,1,8,4] => 1001111
[6,7,1,2,8,5,4,3] => [7,1,4,5,8,6,2,3] => [6,8,5,4,1,2,7,3] => 0011011
[8,3,2,1,7,6,5,4] => [2,3,8,5,6,7,1,4] => [7,6,5,3,2,1,8,4] => 1101111
[3,4,1,7,6,8,5,2] => [4,5,3,1,8,7,6,2] => [3,7,6,8,5,1,4,2] => 0011011
[1,4,2,7,8,6,5,3] => [1,4,5,2,6,8,7,3] => [1,7,8,6,5,2,4,3] => 0011101
[8,4,2,7,1,6,5,3] => [7,4,8,5,6,1,3,2] => [6,5,1,8,4,3,7,2] => 0011111
[5,4,7,6,8,1,3,2] => [8,3,1,5,4,7,6,2] => [3,1,5,4,7,6,8,2] => 0101011
[8,4,1,7,2,6,5,3] => [4,8,7,5,6,3,2,1] => [6,5,3,7,2,8,4,1] => 0011111
[1,4,8,7,2,6,5,3] => [1,7,5,4,6,2,8,3] => [1,4,6,5,2,8,7,3] => 0001111
[3,4,8,7,6,1,5,2] => [6,5,3,4,1,7,8,2] => [3,4,5,1,8,7,6,2] => 0001111
[5,3,7,8,6,1,4,2] => [6,4,5,1,3,8,7,2] => [5,1,4,3,7,8,6,2] => 0011101
[6,7,2,8,1,5,4,3] => [8,7,4,5,1,6,2,3] => [5,4,1,6,7,2,8,3] => 0011011
[8,3,1,2,7,6,5,4] => [3,1,8,5,6,7,2,4] => [7,6,5,3,1,2,8,4] => 0101111
[1,2,8,3,7,6,5,4] => [1,2,8,5,6,7,3,4] => [1,2,7,6,5,3,8,4] => 0001111
[2,1,8,3,7,6,5,4] => [2,1,8,5,6,7,3,4] => [2,1,7,6,5,3,8,4] => 1001111
[4,1,8,7,2,6,5,3] => [4,7,5,1,6,2,8,3] => [6,5,1,8,7,2,4,3] => 0011111
[6,7,1,8,2,5,4,3] => [7,8,4,5,2,6,1,3] => [5,4,2,6,8,1,7,3] => 0011011
[3,8,1,2,7,6,5,4] => [8,1,3,5,6,7,2,4] => [3,7,6,5,1,2,8,4] => 0001111
[2,8,1,3,7,6,5,4] => [8,2,1,5,6,7,3,4] => [2,7,6,5,1,3,8,4] => 0001111
[8,1,2,3,7,6,5,4] => [8,1,2,5,6,7,3,4] => [7,6,5,1,2,3,8,4] => 0001111
[3,1,4,5,6,7,8,9,10,2] => [3,10,1,4,5,6,7,8,9,2] => [4,5,6,7,8,9,10,1,3,2] => 010000001
[2,3,4,5,6,7,8,9,11,1,10] => [11,2,3,4,5,6,7,8,9,1,10] => [2,3,4,5,6,7,8,9,11,1,10] => 0000000001
[10,3,4,5,6,7,8,1,2,9] => [8,1,10,3,4,5,6,7,2,9] => [10,3,4,5,6,7,8,1,2,9] => 000000101
[3,1,4,5,6,7,8,9,10,11,2] => [3,11,1,4,5,6,7,8,9,10,2] => [4,5,6,7,8,9,10,11,1,3,2] => 0100000001
[2,3,4,5,6,7,8,9,10,12,1,11] => [12,2,3,4,5,6,7,8,9,10,1,11] => [2,3,4,5,6,7,8,9,10,12,1,11] => 00000000001
[11,3,4,5,6,7,8,9,1,2,10] => [9,1,11,3,4,5,6,7,8,2,10] => [11,3,4,5,6,7,8,9,1,2,10] => 0000000101
[2,10,4,5,6,7,8,1,3,9] => [8,2,1,10,4,5,6,7,3,9] => [2,10,4,5,6,7,8,1,3,9] => 000000101
[6,7,1,8,4,5,2,3] => [7,5,2,8,4,6,1,3] => [6,8,4,5,2,7,1,3] => 0001011
[2,6,5,1,8,3,7,4] => [5,2,6,8,7,3,4,1] => [2,7,3,8,4,6,5,1] => 0001111
[3,6,5,1,8,2,7,4] => [5,6,3,8,7,2,4,1] => [3,7,2,8,4,6,5,1] => 0001111
[5,6,4,1,8,7,2,3] => [4,6,1,7,5,2,8,3] => [5,8,7,1,6,4,2,3] => 0010111
[6,4,5,1,8,7,2,3] => [5,7,2,6,4,1,8,3] => [6,4,8,7,2,5,1,3] => 0001111
[4,5,6,1,8,7,2,3] => [6,7,2,4,5,1,8,3] => [4,5,8,7,2,6,1,3] => 0000111
[3,5,6,1,8,2,7,4] => [6,8,3,7,5,1,2,4] => [3,5,7,1,8,2,6,4] => 0000111
[2,5,6,1,8,3,7,4] => [6,2,8,7,5,1,3,4] => [2,5,7,1,8,3,6,4] => 0000111
[3,4,6,1,2,8,7,5] => [6,1,3,4,7,2,8,5] => [3,4,8,7,1,2,6,5] => 0000111
[5,3,6,1,8,2,7,4] => [6,8,5,7,3,1,2,4] => [7,3,5,1,8,2,6,4] => 0001111
[7,3,1,5,8,2,6,4] => [3,7,8,6,2,1,5,4] => [6,2,8,3,1,5,7,4] => 0100111
[7,2,1,5,8,3,6,4] => [2,7,8,6,1,3,5,4] => [6,2,1,8,3,5,7,4] => 1000111
[6,2,5,1,8,3,7,4] => [5,6,8,7,2,1,3,4] => [7,2,8,1,6,3,5,4] => 0001111
[4,2,6,1,3,8,7,5] => [6,4,1,2,7,3,8,5] => [4,1,8,7,2,3,6,5] => 0010111
[2,3,6,1,4,8,7,5] => [6,2,3,1,7,4,8,5] => [2,3,8,7,1,4,6,5] => 0000111
[7,2,1,4,3,8,6,5] => [2,7,4,1,6,8,3,5] => [4,2,1,8,6,3,7,5] => 1010111
[8,1,2,4,3,7,6,5] => [8,1,4,2,6,7,3,5] => [4,1,2,7,6,3,8,5] => 0010111
[8,1,3,4,2,7,6,5] => [8,4,1,3,6,7,2,5] => [4,1,3,7,6,2,8,5] => 0010111
[7,3,1,4,2,8,6,5] => [3,7,4,2,6,8,1,5] => [4,2,8,6,3,1,7,5] => 0110111
[6,3,4,1,2,8,7,5] => [4,1,6,3,7,2,8,5] => [8,7,3,4,1,2,6,5] => 0010111
[4,6,3,1,2,8,7,5] => [3,1,6,4,7,2,8,5] => [4,8,7,3,1,2,6,5] => 0100111
[3,6,4,1,2,8,7,5] => [4,1,3,6,7,2,8,5] => [3,8,7,4,1,2,6,5] => 0010111
[4,7,1,3,2,8,6,5] => [7,3,1,4,6,8,2,5] => [3,1,4,8,6,2,7,5] => 0100111
[8,1,6,7,2,3,5,4] => [8,7,2,5,3,1,6,4] => [5,2,3,7,1,6,8,4] => 0001011
[2,6,3,1,4,8,7,5] => [3,2,6,1,7,4,8,5] => [2,8,7,3,1,4,6,5] => 0100111
[3,6,2,1,4,8,7,5] => [2,6,3,1,7,4,8,5] => [3,8,7,2,1,4,6,5] => 1000111
[5,6,2,1,8,3,7,4] => [2,6,8,7,5,1,3,4] => [5,7,2,1,8,3,6,4] => 1000111
[6,4,2,1,3,8,7,5] => [2,4,1,6,7,3,8,5] => [8,7,4,2,1,3,6,5] => 1010111
[5,4,2,3,1,8,7,6] => [3,4,2,5,1,7,8,6] => [5,4,2,3,1,8,7,6] => 0111011
[7,3,1,2,4,8,6,5] => [3,1,7,2,6,8,4,5] => [8,6,3,1,2,4,7,5] => 0100111
[8,1,3,2,4,7,6,5] => [8,3,1,2,6,7,4,5] => [3,1,7,6,2,4,8,5] => 0100111
[8,1,2,3,4,7,6,5] => [8,1,2,3,6,7,4,5] => [7,6,1,2,3,4,8,5] => 0000111
[2,4,3,6,1,5,8,7] => [6,2,4,3,1,5,8,7] => [2,4,3,6,1,5,8,7] => 0010101
[2,4,3,6,5,8,1,7] => [8,2,4,3,6,5,1,7] => [2,4,3,6,5,8,1,7] => 0010101
[2,4,6,3,5,8,7,1] => [7,2,6,4,3,5,8,1] => [2,4,6,3,5,8,7,1] => 0000111
[2,4,6,3,5,8,1,7] => [8,2,6,4,3,5,1,7] => [2,4,6,3,5,8,1,7] => 0000101
[2,4,1,6,5,3,8,7] => [4,2,5,1,6,3,8,7] => [2,6,5,1,4,3,8,7] => 0011101
[4,2,6,5,1,3,8,7] => [5,4,1,2,6,3,8,7] => [4,1,6,5,2,3,8,7] => 0011101
[4,2,6,5,1,8,7,3] => [5,4,6,2,7,3,8,1] => [8,7,2,4,3,6,5,1] => 0011111
[4,2,6,5,8,1,3,7] => [8,4,1,2,6,5,3,7] => [4,1,6,5,8,2,3,7] => 0010101
[4,2,6,5,8,3,1,7] => [3,8,4,1,6,5,2,7] => [4,1,6,5,8,3,2,7] => 0110101
[2,4,6,1,5,8,3,7] => [6,2,8,4,1,5,3,7] => [2,4,8,1,5,6,3,7] => 0000101
[2,4,1,6,5,8,3,7] => [4,2,8,1,6,5,3,7] => [2,6,5,8,1,4,3,7] => 0010101
[2,1,4,6,5,8,3,7] => [2,1,8,4,6,5,3,7] => [2,1,4,6,5,8,3,7] => 1000101
[4,2,6,5,8,3,7,1] => [7,4,8,2,6,5,3,1] => [6,5,8,2,4,3,7,1] => 0010111
[4,2,6,8,5,3,7,1] => [7,4,5,2,8,6,3,1] => [6,8,5,2,4,3,7,1] => 0011011
[2,4,6,8,1,5,7,3] => [8,2,7,4,1,6,5,3] => [2,4,6,7,1,5,8,3] => 0000011
[2,4,6,1,8,5,3,7] => [6,2,5,4,8,1,3,7] => [2,4,8,5,1,6,3,7] => 0001101
[2,4,6,8,1,5,3,7] => [8,2,5,4,1,6,3,7] => [2,4,5,1,6,8,3,7] => 0001001
[4,2,6,8,5,1,7,3] => [5,4,8,2,7,6,3,1] => [6,7,2,4,3,8,5,1] => 0011011
[2,4,6,8,3,5,7,1] => [7,2,8,4,3,6,5,1] => [2,4,6,8,3,5,7,1] => 0000011
[2,4,6,8,3,1,5,7] => [3,2,8,4,1,6,5,7] => [2,4,6,8,3,1,5,7] => 0100001
[2,4,6,3,1,8,5,7] => [3,2,6,4,8,1,5,7] => [2,4,8,3,1,6,5,7] => 0100101
[2,4,6,3,8,1,5,7] => [8,2,6,4,1,3,5,7] => [2,4,6,1,8,3,5,7] => 0000101
[2,4,6,3,8,5,1,7] => [5,2,8,4,6,1,3,7] => [2,4,6,1,8,5,3,7] => 0001101
[2,4,3,6,8,5,1,7] => [5,2,4,3,8,6,1,7] => [2,4,3,6,8,5,1,7] => 0011001
[2,4,3,6,8,1,5,7] => [8,2,4,3,1,6,5,7] => [2,4,3,6,8,1,5,7] => 0010001
[2,4,3,6,1,8,5,7] => [6,2,4,3,8,1,5,7] => [2,4,3,8,1,6,5,7] => 0010101
[2,4,3,1,6,8,5,7] => [3,2,4,1,8,6,5,7] => [2,4,3,1,6,8,5,7] => 0110001
[2,4,1,3,6,8,7,5] => [4,2,1,3,7,6,8,5] => [2,4,1,3,6,8,7,5] => 0010011
[4,6,2,5,8,7,3,1] => [3,7,6,4,1,5,8,2] => [4,6,1,5,8,7,3,2] => 0100111
[2,4,6,3,8,1,7,5] => [8,2,6,4,7,3,1,5] => [2,4,7,3,6,1,8,5] => 0000111
[2,4,6,3,1,8,7,5] => [3,2,6,4,7,1,8,5] => [2,4,8,7,3,1,6,5] => 0100111
[2,4,1,6,3,8,7,5] => [4,2,6,1,7,3,8,5] => [2,8,7,1,4,3,6,5] => 0010111
[2,1,4,6,3,8,7,5] => [2,1,6,4,7,3,8,5] => [2,1,4,8,7,3,6,5] => 1000111
[2,1,4,6,8,3,7,5] => [2,1,8,4,7,6,3,5] => [2,1,4,6,7,3,8,5] => 1000011
[2,4,1,6,8,3,7,5] => [4,2,8,1,7,6,3,5] => [2,6,7,1,4,3,8,5] => 0010011
[2,4,6,1,8,3,7,5] => [6,2,8,4,7,1,3,5] => [2,4,7,1,8,3,6,5] => 0000111
[2,4,6,8,1,3,7,5] => [8,2,1,4,7,6,3,5] => [2,4,6,7,1,3,8,5] => 0000011
[2,4,6,8,3,1,7,5] => [3,2,8,4,7,6,1,5] => [2,4,6,7,3,1,8,5] => 0100011
[4,6,2,8,5,7,1,3] => [7,6,1,4,8,2,5,3] => [4,8,1,6,5,7,2,3] => 0000111
[6,2,4,8,7,1,3,5] => [7,6,1,2,3,4,8,5] => [6,1,8,7,2,3,4,5] => 0000111
[6,4,2,8,7,5,3,1] => [3,5,4,7,6,2,8,1] => [6,4,2,8,7,5,3,1] => 0111111
[2,6,4,8,1,7,5,3] => [8,2,5,7,6,3,1,4] => [2,6,3,7,5,1,8,4] => 0001111
[2,6,4,1,8,7,5,3] => [4,2,6,5,7,3,8,1] => [2,8,7,5,3,6,4,1] => 0011111
[2,6,1,4,8,7,3,5] => [6,2,7,1,3,4,8,5] => [2,8,7,1,6,3,4,5] => 0000111
[6,4,2,8,7,5,1,3] => [5,4,2,7,6,1,8,3] => [6,4,2,8,7,5,1,3] => 0011111
[1,6,4,7,3,8,2,5] => [1,8,7,6,2,4,3,5] => [1,6,2,7,4,8,3,5] => 0000111
[1,3,7,4,5,8,2,6] => [1,8,3,7,4,2,5,6] => [1,3,7,4,8,2,5,6] => 0000011
[5,2,4,7,3,6,8,1] => [8,5,7,2,4,3,6,1] => [7,2,4,5,3,6,8,1] => 0001011
[1,7,6,3,4,8,2,5] => [1,8,6,3,2,7,4,5] => [1,7,6,3,8,2,4,5] => 0000111
[7,1,6,3,8,2,4,5] => [7,8,6,2,4,1,3,5] => [6,2,4,8,1,7,3,5] => 0000111
[1,2,7,4,8,3,5,6] => [1,2,8,7,3,5,4,6] => [1,2,7,3,5,8,4,6] => 0000011
[6,1,7,3,4,8,2,5] => [6,8,7,3,2,1,4,5] => [7,3,8,2,6,1,4,5] => 0000111
[2,1,7,4,5,8,3,6] => [2,1,8,7,4,3,5,6] => [2,1,7,4,8,3,5,6] => 1000011
[2,8,6,3,7,1,4,5] => [7,2,6,1,4,8,3,5] => [2,8,6,1,4,7,3,5] => 0000111
[5,8,2,1,7,3,4,6] => [2,8,7,3,5,4,1,6] => [5,7,3,4,8,2,1,6] => 1000011
[6,7,1,3,8,2,4,5] => [7,8,1,2,4,6,3,5] => [6,8,1,4,7,2,3,5] => 0000011
[5,1,2,4,8,3,6,7] => [5,1,8,2,4,3,6,7] => [8,1,2,4,5,3,6,7] => 0001001
[2,6,1,4,5,8,3,7] => [6,2,8,1,4,5,3,7] => [2,8,1,4,5,6,3,7] => 0000101
[1,6,2,4,8,3,5,7] => [1,6,8,2,3,4,5,7] => [1,8,2,6,3,4,5,7] => 0000101
[1,5,3,2,8,4,6,7] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => 0101001
[2,5,3,4,1,8,6,7] => [4,2,5,3,1,8,6,7] => [2,5,3,4,1,8,6,7] => 0011001
[4,3,5,2,1,8,6,7] => [2,5,4,3,1,8,6,7] => [4,3,5,2,1,8,6,7] => 1011001
[2,6,4,8,7,1,3,5] => [7,2,1,6,3,4,8,5] => [2,6,1,3,8,7,4,5] => 0000111
[1,6,4,8,7,2,3,5] => [1,7,2,6,3,4,8,5] => [1,6,2,3,8,7,4,5] => 0000111
[2,7,8,3,6,1,4,5] => [6,2,8,1,4,3,7,5] => [2,7,8,1,4,6,3,5] => 0000101
[4,3,2,8,7,1,5,6] => [7,3,4,2,1,5,8,6] => [4,3,2,8,7,1,5,6] => 0110011
[5,2,4,8,7,1,3,6] => [7,5,1,2,4,3,8,6] => [5,1,4,8,7,2,3,6] => 0001011
[6,2,8,3,7,1,4,5] => [7,6,8,1,4,2,3,5] => [8,1,4,6,2,7,3,5] => 0000111
[5,1,4,8,7,2,3,6] => [5,7,2,1,4,3,8,6] => [8,7,2,4,5,1,3,6] => 0001011
[4,8,2,5,1,3,7,6] => [5,8,1,4,2,7,3,6] => [4,7,1,5,2,3,8,6] => 0001011
[3,8,2,1,5,4,7,6] => [2,8,3,5,1,7,4,6] => [3,5,2,1,7,4,8,6] => 1001011
[8,3,2,1,5,4,6,7] => [2,3,8,5,1,4,6,7] => [5,3,2,1,8,4,6,7] => 1101001
[8,3,2,1,4,6,5,7] => [2,3,8,1,6,4,5,7] => [6,3,2,1,4,8,5,7] => 1100101
[3,8,2,1,4,5,7,6] => [2,8,3,1,4,7,5,6] => [3,7,2,1,4,5,8,6] => 1000011
[3,7,2,1,4,5,8,6] => [2,7,3,1,4,8,5,6] => [3,8,2,1,4,5,7,6] => 1000011
[3,2,8,1,4,6,7,5] => [8,3,2,1,7,4,6,5] => [3,2,7,1,4,6,8,5] => 0100011
[3,8,2,1,4,7,5,6] => [2,8,3,1,7,5,4,6] => [3,7,5,8,2,1,4,6] => 1000011
[3,8,2,1,5,7,4,6] => [2,8,3,7,1,4,5,6] => [3,7,2,1,8,4,5,6] => 1000011
[4,2,7,6,1,8,3,5] => [6,4,7,2,1,8,3,5] => [8,2,4,1,7,6,3,5] => 0010111
[4,3,7,6,8,1,2,5] => [8,1,4,3,2,7,6,5] => [4,3,7,6,8,1,2,5] => 0010011
[3,2,1,8,7,5,6,4] => [2,3,1,6,7,5,8,4] => [3,2,1,8,7,5,6,4] => 1100111
[3,2,8,1,7,4,6,5] => [8,3,2,7,6,4,1,5] => [3,2,6,4,7,1,8,5] => 0100111
[3,2,8,1,6,4,7,5] => [8,3,2,6,7,1,4,5] => [3,2,7,1,6,4,8,5] => 0100111
[3,2,7,1,6,4,8,5] => [7,3,2,6,8,1,4,5] => [3,2,8,1,6,4,7,5] => 0100111
[4,2,8,6,1,3,7,5] => [6,4,1,2,8,7,5,3] => [4,1,7,5,8,6,2,3] => 0010111
[4,2,8,7,1,3,6,5] => [7,4,1,2,6,3,8,5] => [4,1,6,2,3,8,7,5] => 0010111
[5,7,8,3,4,1,2,6] => [4,1,8,3,5,2,7,6] => [5,7,8,3,4,1,2,6] => 0010001
[4,2,7,8,1,3,6,5] => [8,4,1,2,6,3,7,5] => [4,1,6,2,3,7,8,5] => 0010101
[4,2,6,8,1,3,7,5] => [8,4,1,2,7,6,3,5] => [4,1,6,7,2,3,8,5] => 0010011
[4,2,6,7,1,3,8,5] => [7,4,1,2,8,6,3,5] => [4,1,6,8,2,3,7,5] => 0010011
[3,2,6,1,8,4,7,5] => [6,3,2,8,7,1,4,5] => [3,2,7,1,8,4,6,5] => 0100111
[4,7,3,8,5,1,2,6] => [5,1,8,4,7,3,2,6] => [4,7,3,8,5,1,2,6] => 0001011
[3,2,7,1,8,6,4,5] => [7,3,2,6,4,8,1,5] => [3,2,8,6,4,7,1,5] => 0100111
[3,2,1,6,8,5,7,4] => [2,3,1,7,8,6,5,4] => [3,2,1,6,8,5,7,4] => 1100011
[4,2,6,8,1,7,3,5] => [8,4,7,2,3,6,1,5] => [6,7,2,4,3,8,1,5] => 0010011
[3,2,6,1,7,8,4,5] => [6,3,2,8,4,1,7,5] => [3,2,7,8,4,6,1,5] => 0100101
[3,4,6,8,7,5,1,2] => [5,1,3,4,7,6,8,2] => [3,4,6,8,7,5,1,2] => 0001011
[5,3,6,4,8,7,1,2] => [7,1,5,6,3,4,8,2] => [6,3,5,4,8,7,1,2] => 0001111
[3,1,8,5,4,2,6,7] => [3,4,1,5,8,2,6,7] => [8,5,4,1,3,2,6,7] => 0111001
[1,2,7,5,4,8,6,3] => [1,2,6,5,8,7,3,4] => [1,2,7,5,3,8,6,4] => 0001111
[6,3,7,5,4,8,1,2] => [8,1,6,5,7,3,4,2] => [7,5,3,6,4,8,1,2] => 0001111
[7,3,8,5,4,6,1,2] => [6,1,7,5,8,4,3,2] => [8,5,4,7,3,6,1,2] => 0001111
[3,6,8,5,4,7,1,2] => [7,1,3,5,8,6,4,2] => [3,6,8,5,4,7,1,2] => 0001011
[6,8,3,5,4,7,1,2] => [7,1,8,5,3,6,4,2] => [5,3,6,8,4,7,1,2] => 0001011
[1,6,2,5,4,8,7,3] => [1,6,7,5,2,4,8,3] => [1,5,2,8,7,4,6,3] => 0001111
[7,1,2,5,8,3,6,4] => [7,1,8,6,2,3,5,4] => [6,1,2,8,3,5,7,4] => 0000111
[7,8,1,2,4,6,5,3] => [8,1,5,2,6,4,7,3] => [6,5,1,2,4,7,8,3] => 0001101
[2,3,8,5,4,1,6,7] => [4,2,3,5,8,1,6,7] => [2,3,8,5,4,1,6,7] => 0011001
[5,8,1,6,4,3,2,7] => [8,3,4,6,5,1,2,7] => [5,6,4,3,1,8,2,7] => 0110101
[1,5,8,6,4,3,2,7] => [1,3,4,6,5,8,2,7] => [1,5,8,6,4,3,2,7] => 0110101
[2,6,1,5,7,3,8,4] => [6,2,7,8,1,5,3,4] => [2,8,1,5,7,3,6,4] => 0000111
[7,1,8,6,4,3,2,5] => [7,3,4,6,2,8,1,5] => [8,6,4,3,2,7,1,5] => 0110111
[2,1,7,5,6,3,8,4] => [2,1,6,8,7,5,3,4] => [2,1,7,5,8,3,6,4] => 1000111
[3,1,6,7,5,8,2,4] => [3,8,1,2,7,6,5,4] => [6,7,5,8,1,3,2,4] => 0100011
[7,8,1,6,5,3,2,4] => [8,3,5,2,6,1,7,4] => [6,5,3,2,7,8,1,4] => 0101101
[7,2,1,5,4,6,8,3] => [2,7,8,5,1,4,6,3] => [5,2,1,8,4,6,7,3] => 1001011
[1,2,8,5,6,3,7,4] => [1,2,6,7,8,5,3,4] => [1,2,8,5,7,3,6,4] => 0000111
[6,1,2,5,7,3,8,4] => [6,1,7,8,2,5,3,4] => [8,1,2,5,7,3,6,4] => 0000111
[4,2,1,5,6,3,7,8] => [2,4,6,1,5,3,7,8] => [5,6,2,1,4,3,7,8] => 1010100
[5,1,6,3,7,8,2,4] => [5,8,6,2,1,3,7,4] => [6,2,7,8,1,5,3,4] => 0001101
[1,3,6,8,5,7,2,4] => [1,7,3,2,8,6,5,4] => [1,3,6,8,5,7,2,4] => 0000011
[2,4,6,3,7,1,8,5] => [7,2,6,4,8,3,1,5] => [2,4,8,3,6,1,7,5] => 0000111
[5,4,6,1,3,7,2,8] => [6,7,1,5,4,3,2,8] => [5,4,7,1,3,6,2,8] => 0001110
[4,1,7,5,2,3,8,6] => [4,5,2,1,7,8,3,6] => [8,5,2,4,1,3,7,6] => 0011011
[1,2,4,5,8,3,7,6] => [1,2,8,4,5,7,3,6] => [1,2,4,5,7,3,8,6] => 0000011
[2,8,3,5,4,1,7,6] => [4,2,5,8,1,7,3,6] => [2,7,1,5,4,3,8,6] => 0011011
[7,8,2,3,4,1,6,5] => [4,8,2,3,6,1,7,5] => [6,2,3,4,1,7,8,5] => 0010101
[1,8,5,7,4,3,2,6] => [1,3,4,7,8,2,5,6] => [1,8,4,3,2,7,5,6] => 0110011
[5,1,8,7,4,3,2,6] => [5,3,4,7,1,2,8,6] => [8,7,4,3,1,5,2,6] => 0111011
[7,5,8,1,4,3,2,6] => [8,3,4,1,7,2,5,6] => [4,3,1,7,2,8,5,6] => 0110011
[5,8,7,1,4,3,2,6] => [7,3,4,1,5,2,8,6] => [4,3,1,5,8,7,2,6] => 0110011
[1,5,7,8,4,3,2,6] => [1,3,4,8,5,2,7,6] => [1,5,7,8,4,3,2,6] => 0110001
[2,4,7,5,1,3,8,6] => [5,2,1,4,7,8,3,6] => [2,4,8,5,1,3,7,6] => 0001011
[7,8,4,6,1,3,2,5] => [6,3,1,8,2,4,7,5] => [3,1,7,8,2,6,4,5] => 0100101
[7,8,5,4,1,3,2,6] => [4,3,1,5,8,2,7,6] => [3,1,7,8,5,4,2,6] => 0111001
[1,6,5,8,4,3,2,7] => [1,3,4,8,6,5,2,7] => [1,6,5,8,4,3,2,7] => 0110101
[1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => 00000001
[1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,8,9,6,7] => [1,2,3,4,5,9,6,8,7] => 00000011
[9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,7] => [9,8,1,2,3,4,5,6,7] => 00000011
[7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,7,8,6] => [7,8,9,1,2,3,4,5,6] => 00000001
[9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,6] => [9,8,7,1,2,3,4,5,6] => 00000111
[6,7,8,9,1,2,3,4,5] => [9,1,2,3,4,6,7,8,5] => [6,7,8,9,1,2,3,4,5] => 00000001
[9,6,7,8,1,2,3,4,5] => [8,1,2,3,4,9,6,7,5] => [9,6,7,8,1,2,3,4,5] => 00000011
[8,9,6,7,1,2,3,4,5] => [7,1,2,3,4,9,6,8,5] => [8,9,6,7,1,2,3,4,5] => 00000101
[9,8,6,7,1,2,3,4,5] => [7,1,2,3,4,8,6,9,5] => [9,8,6,7,1,2,3,4,5] => 00000111
[9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,5] => [9,8,7,6,1,2,3,4,5] => 00001111
[9,5,6,7,8,1,2,3,4] => [8,1,2,3,9,5,6,7,4] => [9,5,6,7,8,1,2,3,4] => 00000011
[8,9,5,6,7,1,2,3,4] => [7,1,2,3,9,5,6,8,4] => [8,9,5,6,7,1,2,3,4] => 00000101
[9,8,5,6,7,1,2,3,4] => [7,1,2,3,8,5,6,9,4] => [9,8,5,6,7,1,2,3,4] => 00000111
[9,7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,9,7,4] => [9,7,8,5,6,1,2,3,4] => 00001011
[9,8,7,5,6,1,2,3,4] => [6,1,2,3,7,5,8,9,4] => [9,8,7,5,6,1,2,3,4] => 00001111
[9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,4] => [9,8,7,6,5,1,2,3,4] => 00011111
[7,8,9,4,5,6,1,2,3] => [6,1,2,9,4,5,7,8,3] => [7,8,9,4,5,6,1,2,3] => 00001001
[9,7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,9,7,3] => [9,7,8,4,5,6,1,2,3] => 00001011
[9,8,7,4,5,6,1,2,3] => [6,1,2,7,4,5,8,9,3] => [9,8,7,4,5,6,1,2,3] => 00001111
[8,9,6,7,4,5,1,2,3] => [5,1,2,7,4,9,6,8,3] => [8,9,6,7,4,5,1,2,3] => 00010101
[9,8,6,7,4,5,1,2,3] => [5,1,2,7,4,8,6,9,3] => [9,8,6,7,4,5,1,2,3] => 00010111
[9,8,7,6,4,5,1,2,3] => [5,1,2,6,4,7,8,9,3] => [9,8,7,6,4,5,1,2,3] => 00011111
[9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,3] => [9,8,7,6,5,4,1,2,3] => 00111111
[9,7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,9,7,2] => [9,7,8,5,6,3,4,1,2] => 00101011
[9,8,7,5,6,3,4,1,2] => [4,1,6,3,7,5,8,9,2] => [9,8,7,5,6,3,4,1,2] => 00101111
[9,8,7,6,5,3,4,1,2] => [4,1,5,3,6,7,8,9,2] => [9,8,7,6,5,3,4,1,2] => 00111111
[9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,2] => [9,8,7,6,5,4,3,1,2] => 01111111
[9,10,1,2,3,4,5,6,7,8] => [10,1,2,3,4,5,6,7,9,8] => [9,10,1,2,3,4,5,6,7,8] => 000000001
[8,9,10,1,2,3,4,5,6,7] => [10,1,2,3,4,5,6,8,9,7] => [8,9,10,1,2,3,4,5,6,7] => 000000001
[10,8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,10,8,7] => [10,8,9,1,2,3,4,5,6,7] => 000000011
[10,9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,10,7] => [10,9,8,1,2,3,4,5,6,7] => 000000111
[7,8,9,10,1,2,3,4,5,6] => [10,1,2,3,4,5,7,8,9,6] => [7,8,9,10,1,2,3,4,5,6] => 000000001
[10,7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,10,7,8,6] => [10,7,8,9,1,2,3,4,5,6] => 000000011
[9,10,7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,10,7,9,6] => [9,10,7,8,1,2,3,4,5,6] => 000000101
[10,9,7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,9,7,10,6] => [10,9,7,8,1,2,3,4,5,6] => 000000111
[10,9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,10,6] => [10,9,8,7,1,2,3,4,5,6] => 000001111
[10,6,7,8,9,1,2,3,4,5] => [9,1,2,3,4,10,6,7,8,5] => [10,6,7,8,9,1,2,3,4,5] => 000000011
[9,10,6,7,8,1,2,3,4,5] => [8,1,2,3,4,10,6,7,9,5] => [9,10,6,7,8,1,2,3,4,5] => 000000101
[10,9,6,7,8,1,2,3,4,5] => [8,1,2,3,4,9,6,7,10,5] => [10,9,6,7,8,1,2,3,4,5] => 000000111
[10,8,9,6,7,1,2,3,4,5] => [7,1,2,3,4,9,6,10,8,5] => [10,8,9,6,7,1,2,3,4,5] => 000001011
[10,9,8,6,7,1,2,3,4,5] => [7,1,2,3,4,8,6,9,10,5] => [10,9,8,6,7,1,2,3,4,5] => 000001111
[10,9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,10,5] => [10,9,8,7,6,1,2,3,4,5] => 000011111
[9,10,5,6,7,8,1,2,3,4] => [8,1,2,3,10,5,6,7,9,4] => [9,10,5,6,7,8,1,2,3,4] => 000000101
[10,9,5,6,7,8,1,2,3,4] => [8,1,2,3,9,5,6,7,10,4] => [10,9,5,6,7,8,1,2,3,4] => 000000111
[8,9,10,5,6,7,1,2,3,4] => [7,1,2,3,10,5,6,8,9,4] => [8,9,10,5,6,7,1,2,3,4] => 000001001
[10,9,8,5,6,7,1,2,3,4] => [7,1,2,3,8,5,6,9,10,4] => [10,9,8,5,6,7,1,2,3,4] => 000001111
[9,10,7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,10,7,9,4] => [9,10,7,8,5,6,1,2,3,4] => 000010101
[10,9,7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,9,7,10,4] => [10,9,7,8,5,6,1,2,3,4] => 000010111
[10,9,8,7,5,6,1,2,3,4] => [6,1,2,3,7,5,8,9,10,4] => [10,9,8,7,5,6,1,2,3,4] => 000011111
[10,9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,10,4] => [10,9,8,7,6,5,1,2,3,4] => 000111111
[10,7,8,9,4,5,6,1,2,3] => [6,1,2,9,4,5,10,7,8,3] => [10,7,8,9,4,5,6,1,2,3] => 000010011
[9,10,7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,10,7,9,3] => [9,10,7,8,4,5,6,1,2,3] => 000010101
[10,9,7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,9,7,10,3] => [10,9,7,8,4,5,6,1,2,3] => 000010111
[10,9,8,7,4,5,6,1,2,3] => [6,1,2,7,4,5,8,9,10,3] => [10,9,8,7,4,5,6,1,2,3] => 000011111
[10,8,9,6,7,4,5,1,2,3] => [5,1,2,7,4,9,6,10,8,3] => [10,8,9,6,7,4,5,1,2,3] => 000101011
[10,9,8,6,7,4,5,1,2,3] => [5,1,2,7,4,8,6,9,10,3] => [10,9,8,6,7,4,5,1,2,3] => 000101111
[10,9,8,7,6,4,5,1,2,3] => [5,1,2,6,4,7,8,9,10,3] => [10,9,8,7,6,4,5,1,2,3] => 000111111
[10,9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,10,3] => [10,9,8,7,6,5,4,1,2,3] => 001111111
[9,10,7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,10,7,9,2] => [9,10,7,8,5,6,3,4,1,2] => 001010101
[10,9,7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,9,7,10,2] => [10,9,7,8,5,6,3,4,1,2] => 001010111
[10,9,8,7,5,6,3,4,1,2] => [4,1,6,3,7,5,8,9,10,2] => [10,9,8,7,5,6,3,4,1,2] => 001011111
[10,9,8,7,6,5,3,4,1,2] => [4,1,5,3,6,7,8,9,10,2] => [10,9,8,7,6,5,3,4,1,2] => 001111111
[10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,2] => [10,9,8,7,6,5,4,3,1,2] => 011111111
[3,2,7,5,4,1,6,8] => [4,3,2,5,7,1,6,8] => [3,2,7,5,4,1,6,8] => 0111010
[4,2,8,5,1,3,7,6] => [5,4,1,2,8,7,3,6] => [4,1,7,5,2,3,8,6] => 0011011
[4,3,6,8,1,7,2,5] => [8,7,4,3,2,6,1,5] => [4,3,6,7,2,8,1,5] => 0010011
[6,2,1,5,8,3,7,4] => [2,6,8,7,1,5,3,4] => [7,2,1,5,8,3,6,4] => 1000111
[1,4,6,3,5,8,7,2] => [1,7,6,4,3,5,8,2] => [1,4,6,3,5,8,7,2] => 0000111
[5,4,6,2,7,8,1,3] => [8,6,1,5,4,2,7,3] => [5,4,6,1,7,8,2,3] => 0001101
[2,5,4,1,6,7,3,8] => [4,2,5,7,3,6,1,8] => [2,6,7,3,5,4,1,8] => 0011010
[5,6,3,2,7,1,8,4] => [7,3,6,8,5,2,1,4] => [5,8,3,2,6,1,7,4] => 0100111
[5,4,6,2,8,1,7,3] => [8,6,7,5,4,2,1,3] => [5,4,7,2,6,1,8,3] => 0001111
[2,4,1,7,8,5,3,6] => [4,2,5,1,8,3,7,6] => [2,7,8,5,1,4,3,6] => 0011001
[2,5,4,1,6,3,8,7] => [4,2,5,6,3,1,8,7] => [2,6,3,5,4,1,8,7] => 0011101
[5,6,3,2,1,8,4,7] => [2,3,6,8,5,1,4,7] => [5,8,3,2,1,6,4,7] => 1100101
[3,5,2,1,6,4,7,8] => [2,5,3,6,1,4,7,8] => [3,6,2,1,5,4,7,8] => 1001100
[6,8,4,3,2,1,5,7] => [2,3,4,8,1,6,5,7] => [6,8,4,3,2,1,5,7] => 1110001
[5,3,8,2,1,6,4,7] => [2,8,5,6,3,1,4,7] => [6,3,5,2,1,8,4,7] => 1001101
[3,7,5,8,2,1,4,6] => [2,8,3,1,7,4,5,6] => [3,7,2,1,4,8,5,6] => 1000011
[8,6,4,3,2,1,7,5] => [2,3,4,6,8,7,5,1] => [7,5,8,6,4,3,2,1] => 1110111
[7,6,4,3,2,1,8,5] => [2,3,4,6,7,8,5,1] => [8,5,7,6,4,3,2,1] => 1110111
[7,8,4,3,2,1,6,5] => [2,3,4,8,6,1,7,5] => [6,4,3,2,1,7,8,5] => 1110101
[7,5,8,3,2,6,1,4] => [6,3,8,1,7,2,5,4] => [7,3,1,8,5,6,2,4] => 0100111
[5,7,3,2,1,6,8,4] => [2,3,7,8,5,1,6,4] => [5,8,3,2,1,6,7,4] => 1100011
[6,3,7,2,5,1,8,4] => [5,7,6,8,2,3,1,4] => [8,2,6,3,7,1,5,4] => 0001111
[6,2,5,7,8,4,1,3] => [4,8,2,6,1,5,7,3] => [6,2,5,7,8,4,1,3] => 0010101
[2,1,5,7,8,6,3,4] => [2,1,6,3,5,8,7,4] => [2,1,5,7,8,6,3,4] => 1000101
[3,6,7,2,8,1,4,5] => [8,7,3,1,4,6,2,5] => [3,6,7,1,4,8,2,5] => 0000011
[6,3,7,2,8,1,4,5] => [8,7,6,1,4,3,2,5] => [6,1,4,7,3,8,2,5] => 0000111
[2,5,8,4,1,3,7,6] => [4,2,1,8,5,7,3,6] => [2,5,7,4,1,3,8,6] => 0010011
[2,4,1,7,8,3,6,5] => [4,2,8,1,6,3,7,5] => [2,6,1,4,3,7,8,5] => 0010101
[3,7,2,8,6,1,4,5] => [6,8,3,2,4,7,1,5] => [3,7,2,4,8,6,1,5] => 0000111
[5,3,8,2,1,4,7,6] => [2,8,5,1,3,7,4,6] => [5,2,1,7,3,4,8,6] => 1001011
[8,4,7,3,2,1,5,6] => [2,3,7,8,1,5,4,6] => [8,3,2,1,5,7,4,6] => 1100011
[7,3,2,8,6,1,4,5] => [6,3,8,2,4,7,1,5] => [7,3,2,4,8,6,1,5] => 0100111
[7,8,6,5,4,3,2,1,9] => [2,3,4,5,6,8,7,1,9] => [7,8,6,5,4,3,2,1,9] => 11111010
[1,8,9,7,6,5,4,3,2] => [1,3,4,5,6,7,9,8,2] => [1,8,9,7,6,5,4,3,2] => 01111101
[8,9,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,9,8,1,10] => [8,9,7,6,5,4,3,2,1,10] => 111111010
[6,8,7,5,4,3,2,1,9] => [2,3,4,5,7,6,8,1,9] => [6,8,7,5,4,3,2,1,9] => 11110110
[1,7,9,8,6,5,4,3,2] => [1,3,4,5,6,8,7,9,2] => [1,7,9,8,6,5,4,3,2] => 01111011
[1,9,10,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,10,9,2] => [1,9,10,8,7,6,5,4,3,2] => 011111101
[7,8,3,5,4,6,1,2] => [6,1,8,5,3,4,7,2] => [5,3,7,8,4,6,1,2] => 0001101
[8,6,3,7,5,2,4,1] => [4,5,7,3,6,8,2,1] => [8,6,3,7,5,2,4,1] => 0011111
[5,4,1,6,2,3,8,7] => [4,5,1,6,2,3,8,7] => [6,1,5,4,2,3,8,7] => 0011101
[5,7,1,6,2,8,4,3] => [7,6,4,8,5,1,2,3] => [5,8,4,1,6,2,7,3] => 0010111
[2,3,6,5,1,4,8,7] => [5,2,3,1,6,4,8,7] => [2,3,6,5,1,4,8,7] => 0001101
[2,3,6,4,1,5,8,7] => [4,2,3,6,1,5,8,7] => [2,3,6,4,1,5,8,7] => 0010101
[2,3,6,1,5,4,8,7] => [6,2,3,5,1,4,8,7] => [2,3,5,1,6,4,8,7] => 0001101
[7,3,5,1,8,4,2,6] => [5,4,8,7,2,3,1,6] => [7,2,8,4,3,5,1,6] => 0011011
[2,7,6,4,1,8,5,3] => [4,2,6,5,7,8,1,3] => [2,8,5,1,7,6,4,3] => 0011111
[2,1,7,6,3,8,5,4] => [2,1,6,5,7,8,4,3] => [2,1,8,5,4,7,6,3] => 1001111
[2,1,7,6,3,8,4,5] => [2,1,6,7,3,8,4,5] => [2,1,8,3,7,6,4,5] => 1000111
[5,7,3,6,2,8,4,1] => [4,8,6,7,5,1,3,2] => [5,7,1,6,3,8,4,2] => 0010111
[6,3,5,1,8,2,4,7] => [5,8,6,2,3,1,4,7] => [6,2,8,3,5,1,4,7] => 0001101
[2,3,4,8,7,6,1,5] => [6,2,3,4,1,7,8,5] => [2,3,4,8,7,6,1,5] => 0000111
[2,3,4,8,5,7,1,6] => [7,2,3,4,8,1,5,6] => [2,3,4,8,1,7,5,6] => 0000011
[7,3,5,4,8,1,2,6] => [8,1,7,5,3,2,4,6] => [5,3,7,1,2,8,4,6] => 0001011
[2,1,4,5,8,7,3,6] => [2,1,7,4,5,3,8,6] => [2,1,4,5,8,7,3,6] => 1000011
[7,3,5,4,8,1,6,2] => [8,6,7,5,3,1,4,2] => [5,3,7,1,6,4,8,2] => 0001111
[2,3,4,8,7,5,6,1] => [6,2,3,4,7,5,8,1] => [2,3,4,8,7,5,6,1] => 0000111
[2,3,4,8,7,5,1,6] => [5,2,3,4,7,1,8,6] => [2,3,4,8,7,5,1,6] => 0001011
[2,7,6,5,4,8,1,3] => [8,2,1,5,6,7,4,3] => [2,7,6,5,4,8,1,3] => 0001111
[5,7,1,6,3,8,2,4] => [7,8,6,2,5,1,3,4] => [5,6,2,8,1,7,3,4] => 0000111
[7,4,1,5,8,2,3,6] => [4,7,1,8,2,3,5,6] => [8,1,7,4,2,3,5,6] => 0010011
[5,7,3,6,1,8,4,2] => [6,4,8,7,5,2,1,3] => [5,7,2,8,4,1,6,3] => 0010111
[2,1,4,5,8,6,3,7] => [2,1,6,4,5,8,3,7] => [2,1,4,5,8,6,3,7] => 1000101
[2,3,4,8,5,6,1,7] => [6,2,3,4,8,5,1,7] => [2,3,4,8,5,6,1,7] => 0000101
[2,3,4,8,7,1,6,5] => [7,2,3,4,6,1,8,5] => [2,3,4,6,1,8,7,5] => 0000111
[2,3,4,8,1,7,6,5] => [8,2,3,4,6,7,1,5] => [2,3,4,7,6,1,8,5] => 0000111
[2,3,4,8,1,6,7,5] => [8,2,3,4,7,1,6,5] => [2,3,4,7,1,6,8,5] => 0000011
[2,3,4,8,5,1,7,6] => [5,2,3,4,8,7,1,6] => [2,3,4,7,5,1,8,6] => 0001011
[6,3,5,4,8,2,7,1] => [7,8,6,5,3,4,2,1] => [5,3,6,4,8,2,7,1] => 0001111
[2,1,4,5,8,3,7,6] => [2,1,8,4,5,7,3,6] => [2,1,4,5,7,3,8,6] => 1000011
[7,4,3,5,8,2,6,1] => [6,8,4,7,3,2,5,1] => [7,4,3,8,2,5,6,1] => 0010111
[6,3,5,4,8,2,1,7] => [2,8,6,5,3,4,1,7] => [5,3,6,4,8,2,1,7] => 1001101
[2,3,4,8,5,1,6,7] => [5,2,3,4,8,1,6,7] => [2,3,4,8,5,1,6,7] => 0001001
[2,3,4,8,1,6,5,7] => [8,2,3,4,6,1,5,7] => [2,3,4,6,1,8,5,7] => 0000101
[2,3,4,8,1,5,7,6] => [8,2,3,4,1,7,5,6] => [2,3,4,7,1,5,8,6] => 0000011
[7,8,2,6,1,5,3,4] => [6,8,5,3,1,2,7,4] => [5,3,7,8,1,6,2,4] => 0001101
[7,8,1,6,2,5,3,4] => [8,6,5,3,2,1,7,4] => [5,3,6,2,7,8,1,4] => 0001101
[1,8,6,7,2,5,3,4] => [1,7,5,3,2,8,6,4] => [1,5,3,8,6,7,2,4] => 0001011
[5,8,1,7,2,6,3,4] => [8,7,6,3,5,2,1,4] => [5,6,3,7,2,8,1,4] => 0000111
[2,8,5,7,1,6,3,4] => [7,2,6,3,8,1,5,4] => [2,8,3,6,5,7,1,4] => 0000111
[2,8,1,7,5,6,3,4] => [8,2,6,3,7,5,1,4] => [2,7,5,6,3,8,1,4] => 0000111
[1,8,2,7,5,6,3,4] => [1,8,6,3,7,5,2,4] => [1,7,5,6,3,8,2,4] => 0000111
[1,8,2,7,4,6,3,5] => [1,8,6,7,3,4,2,5] => [1,7,3,6,4,8,2,5] => 0000111
[4,8,1,7,2,6,3,5] => [8,7,6,4,3,2,1,5] => [4,6,3,7,2,8,1,5] => 0000111
[1,8,4,7,2,6,3,5] => [1,7,6,8,3,2,4,5] => [1,8,3,6,2,7,4,5] => 0000111
[4,8,1,7,5,6,2,3] => [8,6,2,4,7,5,1,3] => [4,7,5,6,2,8,1,3] => 0000111
[1,8,4,7,5,6,2,3] => [1,6,2,8,7,5,4,3] => [1,7,5,8,4,6,2,3] => 0000111
[1,8,3,7,5,6,2,4] => [1,6,8,2,7,5,3,4] => [1,7,5,8,2,6,3,4] => 0000111
[3,8,1,7,4,6,2,5] => [8,6,3,7,2,4,1,5] => [3,7,2,6,4,8,1,5] => 0000111
[1,8,3,7,2,6,4,5] => [1,7,8,6,4,2,3,5] => [1,6,4,8,2,7,3,5] => 0000111
[3,8,1,7,2,6,4,5] => [8,7,3,6,4,2,1,5] => [3,6,4,7,2,8,1,5] => 0000111
[3,8,2,7,4,6,1,5] => [6,8,3,7,1,4,2,5] => [3,7,1,8,4,6,2,5] => 0000111
[3,8,2,7,5,6,1,4] => [6,8,3,1,7,5,2,4] => [3,7,5,8,1,6,2,4] => 0000111
[4,8,3,7,5,6,1,2] => [6,1,8,4,7,5,3,2] => [4,7,5,8,3,6,1,2] => 0000111
[3,8,4,7,5,6,1,2] => [6,1,3,8,7,5,4,2] => [3,7,5,8,4,6,1,2] => 0000111
[2,8,3,7,5,6,1,4] => [6,2,8,1,7,5,3,4] => [2,7,5,8,1,6,3,4] => 0000111
[2,8,3,7,4,6,1,5] => [6,2,8,7,1,4,3,5] => [2,7,1,8,4,6,3,5] => 0000111
[2,8,3,7,1,6,4,5] => [7,2,8,6,4,1,3,5] => [2,6,4,8,1,7,3,5] => 0000111
[7,1,8,4,5,2,6,3] => [7,5,6,8,4,2,1,3] => [8,4,6,2,5,1,7,3] => 0001111
[6,8,1,7,4,2,5,3] => [8,4,7,5,3,6,1,2] => [5,3,6,7,4,1,8,2] => 0011011
[1,6,7,4,2,8,5,3] => [1,4,7,5,8,6,3,2] => [1,6,8,5,3,7,4,2] => 0011011
[1,6,7,3,8,5,2,4] => [1,5,8,3,7,6,2,4] => [1,6,7,3,8,5,2,4] => 0001011
[7,1,8,3,5,6,2,4] => [7,6,8,2,3,5,1,4] => [8,2,5,6,3,7,1,4] => 0000111
[7,3,8,6,2,5,1,4] => [5,6,8,1,3,7,2,4] => [7,1,8,6,3,5,2,4] => 0001111
[7,3,1,8,4,2,5,6] => [3,7,4,8,1,5,2,6] => [8,4,1,5,7,3,2,6] => 0110011
[7,2,8,4,1,5,3,6] => [4,8,7,5,2,1,3,6] => [5,2,7,1,8,4,3,6] => 0011011
[7,2,8,3,5,1,6,4] => [5,7,8,6,3,1,2,4] => [6,3,8,1,7,2,5,4] => 0001111
[7,2,8,3,4,6,1,5] => [6,7,8,3,1,4,2,5] => [8,3,7,1,4,6,2,5] => 0000111
[1,5,7,8,2,6,3,4] => [1,8,6,3,5,2,7,4] => [1,5,6,3,7,8,2,4] => 0000101
[6,2,3,8,5,7,4,1] => [4,7,1,6,8,3,5,2] => [8,1,3,6,5,7,4,2] => 0010111
[6,3,1,4,8,5,2,7] => [3,6,5,2,8,4,1,7] => [8,5,2,4,6,3,1,7] => 0101101
[3,1,5,4,7,8,2,6] => [3,8,1,5,4,2,7,6] => [5,4,7,8,1,3,2,6] => 0101001
[5,3,1,4,8,2,6,7] => [3,5,8,2,4,1,6,7] => [8,2,4,5,3,1,6,7] => 0101001
[5,2,3,8,4,6,7,1] => [7,5,2,8,3,4,6,1] => [8,2,3,5,4,6,7,1] => 0001011
[5,4,3,8,1,2,7,6] => [8,1,4,5,3,7,2,6] => [5,4,3,7,1,2,8,6] => 0011011
[6,4,2,8,1,3,7,5] => [8,4,1,6,7,2,3,5] => [7,4,1,6,2,3,8,5] => 0010111
[6,3,8,2,5,1,7,4] => [5,8,6,7,2,3,1,4] => [7,2,6,3,8,1,5,4] => 0001111
[6,3,8,1,4,7,2,5] => [8,7,6,1,2,3,4,5] => [6,1,7,2,8,3,4,5] => 0000111
[5,8,1,3,6,2,7,4] => [8,6,1,7,5,3,2,4] => [5,7,1,3,6,2,8,4] => 0000111
[6,5,1,2,8,7,3,4] => [5,1,6,2,7,3,8,4] => [8,7,1,2,6,5,3,4] => 0001111
[6,5,3,1,4,2,8,7] => [3,5,4,2,6,1,8,7] => [4,2,6,5,3,1,8,7] => 0111101
[5,2,6,4,1,7,3,8] => [4,6,5,7,3,2,1,8] => [7,3,5,2,6,4,1,8] => 0011110
[3,5,6,1,2,8,7,4] => [6,1,3,7,5,2,8,4] => [3,5,8,7,1,2,6,4] => 0000111
[3,5,7,1,8,6,2,4] => [7,6,3,2,5,8,1,4] => [3,5,8,6,2,7,1,4] => 0000111
[3,4,7,2,8,6,1,5] => [6,8,3,4,2,7,1,5] => [3,4,7,2,8,6,1,5] => 0000111
[3,4,5,8,2,7,1,6] => [7,8,3,4,5,1,2,6] => [3,4,5,8,1,7,2,6] => 0000011
[3,5,2,6,8,1,7,4] => [8,5,3,7,2,6,1,4] => [3,6,7,2,5,1,8,4] => 0001011
[5,3,6,8,4,7,2,1] => [2,7,5,8,3,6,4,1] => [6,8,3,5,4,7,2,1] => 1001011
[3,7,2,5,4,8,6,1] => [6,8,3,5,1,7,4,2] => [3,5,1,7,4,8,6,2] => 0001111
[4,7,2,5,8,3,6,1] => [6,7,8,4,2,3,5,1] => [4,8,2,7,3,5,6,1] => 0000111
[5,2,6,8,4,3,7,1] => [7,5,4,8,2,6,3,1] => [6,8,4,2,5,3,7,1] => 0011011
[5,1,6,8,4,3,2,7] => [5,3,4,8,1,6,2,7] => [6,8,4,3,1,5,2,7] => 0111001
[8,5,4,7,6,3,2,1] => [2,3,6,5,7,8,1,4] => [8,5,3,2,1,7,6,4] => 1101111
[5,7,1,8,4,3,2,6] => [7,3,4,8,5,2,1,6] => [5,8,4,3,2,7,1,6] => 0110011
[2,7,1,5,4,3,8,6] => [7,2,4,5,1,8,3,6] => [2,5,4,1,8,3,7,6] => 0011011
[8,5,6,7,1,3,2,4] => [7,3,1,2,8,5,6,4] => [3,1,8,5,6,7,2,4] => 0100011
[8,3,6,1,4,7,2,5] => [6,7,8,1,2,3,4,5] => [8,1,7,2,6,3,4,5] => 0000111
[2,7,6,1,4,3,8,5] => [6,2,4,1,7,8,5,3] => [2,4,1,8,5,7,6,3] => 0010111
[5,7,6,8,2,3,4,1] => [4,8,2,3,5,7,6,1] => [5,7,6,8,2,3,4,1] => 0010011
[5,7,2,8,4,3,6,1] => [6,7,4,8,5,3,2,1] => [5,8,4,3,7,2,6,1] => 0010111
[6,7,8,2,4,3,5,1] => [5,8,4,2,3,6,7,1] => [4,2,6,7,8,3,5,1] => 0011001
[3,7,6,2,4,8,5,1] => [5,8,3,1,6,7,4,2] => [3,7,6,1,4,8,5,2] => 0001111
[5,7,3,8,4,6,2,1] => [2,6,7,8,5,4,3,1] => [5,8,4,7,3,6,2,1] => 1000111
[4,7,3,5,8,6,2,1] => [2,6,8,4,1,7,5,3] => [4,7,2,1,5,8,6,3] => 1000111
[8,7,2,1,4,3,6,5] => [2,7,4,1,6,3,8,5] => [4,2,1,6,3,8,7,5] => 1010111
[8,7,6,3,2,5,4,1] => [4,3,5,6,1,7,8,2] => [8,7,6,3,1,5,4,2] => 0111111
[8,7,3,5,1,6,2,4] => [5,6,7,2,3,1,8,4] => [8,7,2,6,3,5,1,4] => 0001111
[8,7,2,5,1,3,6,4] => [5,7,1,6,2,3,8,4] => [6,1,8,7,2,3,5,4] => 0001111
[8,2,6,5,1,3,7,4] => [5,6,2,8,7,4,3,1] => [7,4,8,2,3,6,5,1] => 0001111
[8,4,6,5,7,1,2,3] => [7,1,2,8,6,4,5,3] => [6,4,8,5,7,1,2,3] => 0000111
[5,7,6,8,4,1,2,3] => [4,1,2,8,5,7,6,3] => [5,7,6,8,4,1,2,3] => 0010011
[4,7,6,5,8,1,2,3] => [8,1,2,4,6,7,5,3] => [4,7,6,5,8,1,2,3] => 0000111
[3,7,6,5,1,8,2,4] => [5,6,3,2,7,8,1,4] => [3,8,2,7,6,5,1,4] => 0001111
[8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => 00000010
[1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => 00000001
[9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => 000000010
[7,8,1,2,3,4,5,6,9] => [8,1,2,3,4,5,7,6,9] => [7,8,1,2,3,4,5,6,9] => 00000010
[1,8,9,2,3,4,5,6,7] => [1,9,2,3,4,5,6,8,7] => [1,8,9,2,3,4,5,6,7] => 00000001
[1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9] => 000000001
[10,1,2,3,4,5,6,7,8,9,11] => [10,1,2,3,4,5,6,7,8,9,11] => [10,1,2,3,4,5,6,7,8,9,11] => 0000000010
[8,9,1,2,3,4,5,6,7,10] => [9,1,2,3,4,5,6,8,7,10] => [8,9,1,2,3,4,5,6,7,10] => 000000010
[6,8,1,2,3,4,5,7,9] => [8,1,2,3,4,6,5,7,9] => [6,8,1,2,3,4,5,7,9] => 00000010
[1,7,9,2,3,4,5,6,8] => [1,9,2,3,4,5,7,6,8] => [1,7,9,2,3,4,5,6,8] => 00000001
[1,9,10,2,3,4,5,6,7,8] => [1,10,2,3,4,5,6,7,9,8] => [1,9,10,2,3,4,5,6,7,8] => 000000001
[1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => 0000000001
[5,6,4,3,8,7,1,2] => [7,1,4,6,5,3,8,2] => [5,6,4,3,8,7,1,2] => 0010111
[3,4,7,2,8,1,6,5] => [8,7,3,4,6,1,2,5] => [3,4,6,1,7,2,8,5] => 0000111
[7,3,8,4,5,6,1,2] => [6,1,7,8,4,5,3,2] => [8,4,5,7,3,6,1,2] => 0000111
[4,6,8,5,3,7,1,2] => [7,1,5,4,8,6,3,2] => [4,6,8,5,3,7,1,2] => 0001011
[6,8,5,3,4,7,1,2] => [7,1,5,3,8,6,4,2] => [6,8,5,3,4,7,1,2] => 0001011
[1,6,5,4,2,8,7,3] => [1,4,5,6,7,2,8,3] => [1,8,7,2,6,5,4,3] => 0011111
[1,8,5,2,7,3,6,4] => [1,5,8,7,6,4,3,2] => [1,6,4,7,3,8,5,2] => 0001111
[4,2,7,5,1,8,6,3] => [5,4,7,2,6,8,3,1] => [8,6,2,4,3,7,5,1] => 0011111
[7,8,1,4,2,6,5,3] => [8,4,5,1,6,2,7,3] => [6,5,1,4,2,7,8,3] => 0011101
[6,5,1,3,4,2,8,7] => [5,4,1,3,6,2,8,7] => [4,1,3,6,5,2,8,7] => 0011101
[7,4,5,3,2,8,1,6] => [8,3,5,7,4,1,2,6] => [7,4,5,3,1,8,2,6] => 0101011
[2,5,8,6,4,1,3,7] => [4,2,1,6,5,8,3,7] => [2,5,8,6,4,1,3,7] => 0010101
[1,4,6,2,5,8,3,7] => [1,6,8,4,2,5,3,7] => [1,4,8,2,5,6,3,7] => 0000101
[3,6,2,5,8,1,7,4] => [8,6,3,7,2,5,1,4] => [3,7,2,5,6,1,8,4] => 0000111
[1,6,8,7,4,2,3,5] => [1,4,2,7,3,6,8,5] => [1,6,8,7,4,2,3,5] => 0010011
[7,2,1,4,5,6,8,3] => [2,7,8,1,4,5,6,3] => [8,2,1,4,5,6,7,3] => 1000011
[1,2,8,3,6,5,7,4] => [1,2,8,7,6,3,5,4] => [1,2,6,3,7,5,8,4] => 0000111
[6,1,3,2,7,5,8,4] => [6,3,1,8,7,2,5,4] => [3,1,7,2,8,5,6,4] => 0100111
[1,6,3,8,5,7,2,4] => [1,7,6,2,8,3,5,4] => [1,8,2,6,5,7,3,4] => 0000111
[2,6,4,1,7,5,8,3] => [4,2,6,8,7,3,5,1] => [2,7,3,8,5,6,4,1] => 0010111
[7,6,5,8,1,4,2,3] => [8,4,2,1,6,7,5,3] => [4,2,7,6,5,8,1,3] => 0010111
[5,8,6,7,3,2,1,4] => [2,3,7,1,5,8,6,4] => [5,8,6,7,3,2,1,4] => 1100011
[1,6,4,3,7,2,8,5] => [1,7,4,6,8,3,2,5] => [1,8,4,3,6,2,7,5] => 0010111
[1,8,3,5,4,2,7,6] => [1,4,5,8,2,7,3,6] => [1,7,2,5,4,3,8,6] => 0011011
[4,1,6,3,8,2,7,5] => [4,8,6,1,7,3,2,5] => [7,1,6,3,4,2,8,5] => 0010111
[3,2,6,4,7,8,1,5] => [8,3,2,6,1,4,7,5] => [3,2,6,1,7,8,4,5] => 0100101
[7,2,5,8,3,4,1,6] => [4,7,8,3,2,1,5,6] => [8,3,7,2,4,1,5,6] => 0010011
[6,5,3,8,2,1,7,4] => [2,8,5,6,7,4,1,3] => [7,4,6,5,2,1,8,3] => 1001111
[7,5,8,4,1,2,3,6] => [4,1,2,8,7,3,5,6] => [7,4,1,2,3,8,5,6] => 0010011
[3,5,7,8,4,1,2,6] => [4,1,3,8,5,2,7,6] => [3,5,7,8,4,1,2,6] => 0010001
[1,4,7,5,3,8,2,6] => [1,8,5,4,7,2,3,6] => [1,4,7,5,2,8,3,6] => 0001011
[2,4,6,7,3,1,8,5] => [3,2,7,4,8,6,1,5] => [2,4,6,8,3,1,7,5] => 0100011
[7,8,4,6,3,1,2,5] => [3,1,6,8,2,4,7,5] => [7,8,3,1,2,6,4,5] => 0100101
[2,6,4,5,3,8,1,7] => [8,2,5,6,4,3,1,7] => [2,6,4,5,3,8,1,7] => 0001101
[3,6,5,8,4,2,1,7] => [2,4,3,8,6,5,1,7] => [3,6,5,8,4,2,1,7] => 1010101
[5,6,8,4,2,3,1,7] => [3,4,2,8,5,6,1,7] => [5,6,8,4,2,3,1,7] => 0110001
[6,8,5,4,3,1,2,7] => [3,1,4,5,8,6,2,7] => [6,8,5,4,3,1,2,7] => 0111001
[6,1,4,2,8,5,7,3] => [6,4,7,1,8,2,5,3] => [8,1,4,2,7,5,6,3] => 0010111
[4,8,6,5,3,2,7,1] => [7,3,5,4,6,8,2,1] => [4,8,6,5,3,2,7,1] => 0101111
[8,6,5,1,2,4,7,3] => [5,1,6,2,8,7,4,3] => [7,1,2,4,8,6,5,3] => 0001111
[1,7,5,8,2,6,4,3] => [1,8,4,6,7,2,5,3] => [1,7,4,2,6,5,8,3] => 0010111
[1,3,8,5,7,6,2,4] => [1,6,3,2,7,8,4,5] => [1,3,8,2,4,7,6,5] => 0000111
[6,3,8,5,7,1,2,4] => [7,1,6,2,8,3,5,4] => [8,1,2,6,5,7,3,4] => 0000111
[6,8,5,2,1,4,7,3] => [2,5,8,3,7,6,4,1] => [6,7,3,4,8,5,2,1] => 1001011
[2,8,1,5,6,3,7,4] => [8,2,6,7,1,5,3,4] => [2,7,1,5,6,3,8,4] => 0000111
[8,1,2,5,6,3,7,4] => [8,1,6,7,2,5,3,4] => [7,1,2,5,6,3,8,4] => 0000111
[1,8,2,5,7,6,3,4] => [1,8,6,3,2,7,5,4] => [1,7,6,3,5,8,2,4] => 0000111
[2,5,8,6,1,7,3,4] => [6,2,8,1,5,7,3,4] => [2,5,7,1,8,6,3,4] => 0000111
[8,6,1,5,7,2,3,4] => [6,8,1,3,2,7,5,4] => [7,1,3,5,8,6,2,4] => 0000111
[3,8,6,5,7,1,2,4] => [7,1,3,2,6,8,5,4] => [3,8,6,5,7,1,2,4] => 0000111
[7,6,5,8,1,2,4,3] => [8,1,4,2,6,7,5,3] => [4,1,2,7,6,5,8,3] => 0010111
[5,1,3,7,8,6,2,4] => [5,6,1,2,3,8,7,4] => [7,8,6,1,5,2,3,4] => 0001101
[7,2,5,8,1,6,4,3] => [8,7,4,6,2,1,5,3] => [6,4,2,7,1,5,8,3] => 0010111
[3,2,8,5,7,6,1,4] => [6,3,2,1,7,8,4,5] => [3,2,8,1,4,7,6,5] => 0100111
[1,2,8,6,5,7,3,4] => [1,2,7,3,6,8,5,4] => [1,2,8,6,5,7,3,4] => 0000111
[4,2,1,3,6,7,8,5] => [2,4,1,3,8,6,7,5] => [4,2,1,3,6,7,8,5] => 1010001
[7,2,6,5,4,1,8,3] => [4,5,6,7,8,1,3,2] => [8,1,7,3,6,5,4,2] => 0011111
[7,5,6,2,4,1,8,3] => [4,6,8,2,7,5,1,3] => [7,5,8,2,6,1,4,3] => 0010111
[8,5,2,6,3,7,1,4] => [7,5,8,1,6,3,2,4] => [6,1,8,5,3,7,2,4] => 0001111
[4,3,1,2,6,7,8,5] => [3,1,4,2,8,6,7,5] => [4,3,1,2,6,7,8,5] => 0110001
[8,1,6,5,7,3,2,4] => [8,3,7,2,6,1,5,4] => [6,3,2,7,5,8,1,4] => 0100111
[5,8,1,6,3,7,2,4] => [8,7,6,2,5,1,3,4] => [5,6,2,7,1,8,3,4] => 0000111
[1,8,5,6,3,7,2,4] => [1,7,6,2,8,5,3,4] => [1,8,5,6,2,7,3,4] => 0000111
[1,7,6,5,4,2,8,3] => [1,4,5,6,7,8,3,2] => [1,8,3,7,6,5,4,2] => 0011111
[7,1,4,2,6,5,8,3] => [7,4,8,1,6,2,5,3] => [6,1,4,2,8,5,7,3] => 0010111
[2,7,4,1,5,6,8,3] => [4,2,7,8,3,5,6,1] => [2,8,3,5,6,7,4,1] => 0010011
[5,7,6,4,1,2,8,3] => [4,1,6,7,5,8,2,3] => [5,8,1,2,7,6,4,3] => 0010111
[1,7,6,4,5,2,8,3] => [1,5,8,6,4,7,2,3] => [1,7,6,4,8,2,5,3] => 0001111
[7,8,5,4,1,6,2,3] => [4,5,2,8,6,1,7,3] => [6,2,7,8,5,4,1,3] => 0011101
[7,5,6,4,2,1,8,3] => [2,4,6,8,7,5,3,1] => [7,5,8,3,6,4,2,1] => 1010111
[7,4,6,2,5,1,8,3] => [5,6,8,7,2,4,1,3] => [7,2,8,4,6,1,5,3] => 0001111
[6,1,4,3,5,7,8,2] => [6,8,4,1,3,5,7,2] => [4,1,7,8,3,5,6,2] => 0010101
[6,1,3,4,5,7,8,2] => [6,8,1,3,4,5,7,2] => [7,8,1,3,4,5,6,2] => 0000101
[7,2,6,4,5,1,8,3] => [5,7,8,6,4,2,1,3] => [6,4,8,2,7,1,5,3] => 0001111
[8,2,3,6,5,7,1,4] => [7,8,2,1,6,3,5,4] => [6,2,8,5,7,1,3,4] => 0000111
[3,4,7,2,5,1,6,8] => [5,7,3,4,2,1,6,8] => [3,4,7,2,5,1,6,8] => 0001010
[1,4,7,2,5,8,3,6] => [1,7,8,4,2,3,5,6] => [1,4,8,2,7,3,5,6] => 0000011
[3,6,2,4,7,1,5,8] => [7,6,3,2,1,4,5,8] => [3,6,2,7,1,4,5,8] => 0000110
[4,3,6,7,5,8,1,2] => [8,1,4,3,7,6,5,2] => [4,3,6,7,5,8,1,2] => 0010011
[7,3,8,6,4,5,1,2] => [5,1,7,6,4,8,3,2] => [8,6,4,7,3,5,1,2] => 0001111
[3,2,7,6,5,1,4,8] => [5,3,2,1,6,7,4,8] => [3,2,7,6,5,1,4,8] => 0101110
[2,3,8,6,4,1,5,7] => [4,2,3,6,1,8,5,7] => [2,3,8,6,4,1,5,7] => 0010101
[4,3,6,2,5,1,8,7] => [5,6,4,3,2,1,8,7] => [4,3,6,2,5,1,8,7] => 0011101
[7,8,3,2,5,1,4,6] => [5,3,8,1,2,4,7,6] => [7,8,3,1,5,2,4,6] => 0101001
[2,1,8,6,4,7,3,5] => [2,1,7,6,3,8,4,5] => [2,1,8,6,3,7,4,5] => 1000111
[1,8,3,6,7,4,5,2] => [1,5,8,7,4,3,6,2] => [1,7,4,6,8,3,5,2] => 0001011
[7,1,5,8,3,6,2,4] => [7,6,8,2,1,3,5,4] => [8,2,6,1,5,7,3,4] => 0000111
[6,8,5,1,3,4,2,7] => [5,4,1,3,8,6,2,7] => [4,1,3,6,8,5,2,7] => 0011001
[4,2,8,3,1,7,5,6] => [3,8,4,1,7,5,2,6] => [4,1,7,5,8,3,2,6] => 0110011
[1,3,7,4,8,2,5,6] => [1,8,3,7,2,5,4,6] => [1,3,7,2,5,8,4,6] => 0000011
[2,4,7,3,6,1,8,5] => [6,2,7,4,8,3,1,5] => [2,4,8,3,7,1,6,5] => 0000111
[5,8,7,6,3,1,2,4] => [3,1,6,2,5,7,8,4] => [5,8,7,6,3,1,2,4] => 0100111
[7,5,6,8,1,4,3,2] => [8,3,4,1,7,5,6,2] => [4,3,1,7,5,6,8,2] => 0110011
[1,2,7,8,5,4,3,6] => [1,2,4,5,8,3,7,6] => [1,2,7,8,5,4,3,6] => 0011001
[6,3,1,2,8,4,5,7] => [3,1,6,8,4,2,5,7] => [8,4,6,3,1,2,5,7] => 0100101
[4,2,1,3,6,5,8,7] => [2,4,1,3,6,5,8,7] => [4,2,1,3,6,5,8,7] => 1010101
[2,8,1,4,5,6,3,7] => [8,2,6,1,4,5,3,7] => [2,6,1,4,5,8,3,7] => 0000101
[7,2,1,5,4,6,3,8] => [2,7,6,5,1,4,3,8] => [5,2,1,6,4,7,3,8] => 1001110
[7,8,2,1,4,5,3,6] => [2,8,5,1,4,3,7,6] => [5,2,1,4,7,8,3,6] => 1001001
[3,4,6,1,5,8,7,2] => [6,7,3,4,1,5,8,2] => [3,4,8,7,1,5,6,2] => 0000111
[5,8,1,6,3,4,7,2] => [8,7,6,3,5,1,4,2] => [5,6,3,7,1,4,8,2] => 0000111
[5,6,1,7,4,8,2,3] => [6,8,2,7,5,1,4,3] => [5,7,2,8,4,6,1,3] => 0000111
[3,6,1,5,7,4,2,8] => [6,4,3,7,1,5,2,8] => [3,7,4,1,5,6,2,8] => 0010110
[6,1,7,8,5,3,4,2] => [6,4,5,3,8,1,7,2] => [7,8,5,3,4,1,6,2] => 0011101
[2,6,5,7,3,4,8,1] => [8,2,7,3,6,5,4,1] => [2,6,5,7,3,4,8,1] => 0000111
[1,6,4,7,5,8,2,3] => [1,8,2,6,7,4,5,3] => [1,7,4,6,5,8,2,3] => 0000111
[1,3,7,4,6,8,2,5] => [1,8,3,7,2,4,6,5] => [1,3,7,2,6,8,4,5] => 0000011
[4,7,5,6,3,2,8,1] => [8,3,6,4,7,5,2,1] => [4,7,5,6,3,2,8,1] => 0100111
[1,7,6,5,4,8,2,3] => [1,8,2,5,6,7,4,3] => [1,7,6,5,4,8,2,3] => 0001111
[8,1,6,5,7,2,4,3] => [8,7,4,2,6,1,5,3] => [4,2,6,1,7,5,8,3] => 0010111
[1,2,7,6,8,3,4,5] => [1,2,8,3,4,7,6,5] => [1,2,7,6,8,3,4,5] => 0000011
[6,1,7,5,3,8,2,4] => [6,8,5,2,7,1,3,4] => [7,5,2,8,1,6,3,4] => 0001111
[2,1,7,5,6,8,3,4] => [2,1,8,3,7,5,6,4] => [2,1,7,5,6,8,3,4] => 1000011
[5,4,1,7,6,8,2,3] => [4,5,1,8,2,7,6,3] => [7,6,8,1,5,4,2,3] => 0011011
[4,8,5,6,2,7,3,1] => [3,7,6,4,8,5,1,2] => [4,8,5,6,1,7,3,2] => 0100111
[3,8,6,4,2,7,5,1] => [5,4,3,7,6,8,1,2] => [3,8,6,4,1,7,5,2] => 0011111
[7,8,5,2,4,6,3,1] => [3,6,5,1,8,4,7,2] => [7,8,5,1,4,6,3,2] => 0101101
[7,8,1,6,2,4,5,3] => [8,6,5,2,4,1,7,3] => [5,2,4,6,1,7,8,3] => 0001101
[5,4,7,1,8,3,2,6] => [7,3,8,5,4,2,1,6] => [5,4,8,3,2,7,1,6] => 0101011
[6,7,1,4,8,3,2,5] => [7,3,8,1,2,6,4,5] => [6,8,3,1,7,2,4,5] => 0100011
[2,7,1,8,4,5,3,6] => [7,2,5,8,4,3,1,6] => [2,8,4,5,3,7,1,6] => 0001011
[6,5,1,4,3,8,2,7] => [5,6,4,2,8,3,1,7] => [4,2,8,3,6,5,1,7] => 0011101
[1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => [1,8,3,5,6,2,4,7] => 0000101
[8,5,1,3,7,2,6,4] => [5,8,2,7,6,4,3,1] => [6,4,7,2,3,8,5,1] => 0001111
[8,4,2,1,7,3,6,5] => [2,4,8,7,6,1,3,5] => [6,2,1,7,4,3,8,5] => 1010111
[7,4,2,1,8,5,3,6] => [2,4,7,5,8,1,3,6] => [8,5,2,1,7,4,3,6] => 1011011
[6,4,3,1,5,8,2,7] => [3,4,6,8,1,5,2,7] => [8,1,5,6,4,3,2,7] => 0110101
[3,7,6,8,4,5,2,1] => [2,5,3,8,4,7,6,1] => [3,7,6,8,4,5,2,1] => 1001011
[2,7,6,8,5,3,4,1] => [4,2,5,3,8,7,6,1] => [2,7,6,8,5,3,4,1] => 0011011
[1,7,6,8,5,4,2,3] => [1,4,2,5,8,7,6,3] => [1,7,6,8,5,4,2,3] => 0011011
[1,4,8,6,7,5,2,3] => [1,5,2,4,7,8,6,3] => [1,4,8,6,7,5,2,3] => 0001011
[2,4,8,6,7,3,5,1] => [5,2,7,4,3,8,6,1] => [2,4,8,6,7,3,5,1] => 0001011
[7,3,8,5,4,6,2,1] => [2,6,7,5,8,4,3,1] => [8,5,4,7,3,6,2,1] => 1001111
[3,4,8,5,6,7,2,1] => [2,7,3,4,8,5,6,1] => [3,4,8,5,6,7,2,1] => 1000011
[6,3,5,8,4,7,2,1] => [2,7,6,8,3,5,4,1] => [8,3,5,6,4,7,2,1] => 1000111
[5,4,3,8,6,7,2,1] => [2,7,4,5,3,8,6,1] => [5,4,3,8,6,7,2,1] => 1011011
[5,4,2,8,7,3,6,1] => [6,4,5,7,3,2,8,1] => [8,7,3,5,4,2,6,1] => 0011111
[6,2,5,8,7,3,4,1] => [4,6,7,3,2,5,8,1] => [8,7,3,5,6,2,4,1] => 0010111
[1,3,8,7,5,6,2,4] => [1,6,3,2,7,5,8,4] => [1,3,8,7,5,6,2,4] => 0000111
[2,1,8,7,4,6,3,5] => [2,1,6,7,3,4,8,5] => [2,1,8,7,3,6,4,5] => 1000111
[3,1,8,5,7,6,2,4] => [3,6,1,2,7,8,4,5] => [8,1,3,2,4,7,6,5] => 0100111
[6,1,5,8,7,4,2,3] => [6,4,2,7,1,5,8,3] => [8,7,4,2,5,6,1,3] => 0010111
[5,4,1,8,7,6,2,3] => [4,5,1,6,2,7,8,3] => [8,7,6,1,5,4,2,3] => 0011111
[5,8,6,7,4,3,2,1] => [2,3,4,7,5,8,6,1] => [5,8,6,7,4,3,2,1] => 1110011
[4,8,7,5,6,3,2,1] => [2,3,6,4,7,5,8,1] => [4,8,7,5,6,3,2,1] => 1100111
[4,2,1,6,3,5,8,7] => [2,4,6,1,3,5,8,7] => [6,2,1,4,3,5,8,7] => 1010101
[6,2,1,4,3,5,8,7] => [2,6,4,1,3,5,8,7] => [4,2,1,6,3,5,8,7] => 1010101
[6,2,1,4,3,8,5,7] => [2,6,4,1,8,3,5,7] => [4,2,1,8,3,6,5,7] => 1010101
[8,2,1,4,3,6,5,7] => [2,8,4,1,6,3,5,7] => [4,2,1,6,3,8,5,7] => 1010101
[6,2,4,1,3,8,5,7] => [4,6,1,2,8,3,5,7] => [8,1,4,2,3,6,5,7] => 0010101
[6,2,4,1,3,5,8,7] => [4,6,1,2,3,5,8,7] => [6,1,4,2,3,5,8,7] => 0010101
[2,1,6,4,3,5,8,7] => [2,1,4,6,3,5,8,7] => [2,1,6,4,3,5,8,7] => 1010101
[2,6,1,4,3,5,8,7] => [6,2,4,1,3,5,8,7] => [2,4,1,6,3,5,8,7] => 0010101
[2,6,4,1,3,5,8,7] => [4,2,1,6,3,5,8,7] => [2,6,4,1,3,5,8,7] => 0010101
[4,6,2,1,3,5,8,7] => [2,6,1,4,3,5,8,7] => [4,6,2,1,3,5,8,7] => 1000101
[6,4,2,1,3,5,8,7] => [2,4,1,6,3,5,8,7] => [6,4,2,1,3,5,8,7] => 1010101
[8,4,2,1,3,6,5,7] => [2,4,1,8,6,3,5,7] => [6,4,2,1,3,8,5,7] => 1010101
[8,4,2,1,6,3,5,7] => [2,4,8,6,1,3,5,7] => [6,2,1,8,4,3,5,7] => 1010101
[6,4,2,1,8,3,5,7] => [2,4,6,8,1,3,5,7] => [8,2,1,6,4,3,5,7] => 1010101
[2,6,1,4,3,8,5,7] => [6,2,4,1,8,3,5,7] => [2,4,1,8,3,6,5,7] => 0010101
[2,1,6,4,3,8,5,7] => [2,1,4,6,8,3,5,7] => [2,1,8,4,3,6,5,7] => 1010101
[2,1,8,4,3,6,5,7] => [2,1,4,8,6,3,5,7] => [2,1,6,4,3,8,5,7] => 1010101
[2,8,1,4,3,6,5,7] => [8,2,4,1,6,3,5,7] => [2,4,1,6,3,8,5,7] => 0010101
[2,8,4,1,3,6,5,7] => [4,2,1,8,6,3,5,7] => [2,6,4,1,3,8,5,7] => 0010101
[4,8,2,1,3,6,5,7] => [2,8,1,4,6,3,5,7] => [4,6,2,1,3,8,5,7] => 1000101
[6,8,2,1,4,3,5,7] => [2,8,4,1,3,6,5,7] => [4,2,1,6,8,3,5,7] => 1010001
[8,6,2,1,4,3,5,7] => [2,6,4,1,3,8,5,7] => [4,2,1,8,6,3,5,7] => 1010101
[2,1,8,4,6,3,5,7] => [2,1,6,8,3,4,5,7] => [2,1,8,3,6,4,5,7] => 1000101
[2,6,1,4,8,3,5,7] => [6,2,8,1,3,4,5,7] => [2,8,1,6,3,4,5,7] => 0000101
[2,6,4,1,8,3,5,7] => [4,2,6,8,1,3,5,7] => [2,8,1,6,4,3,5,7] => 0010101
[2,6,4,8,1,3,5,7] => [8,2,1,6,3,4,5,7] => [2,6,1,3,8,4,5,7] => 0000101
[4,2,6,1,3,8,5,7] => [6,4,1,2,8,3,5,7] => [4,1,8,2,3,6,5,7] => 0010101
[8,2,4,1,6,3,5,7] => [4,8,6,2,3,1,5,7] => [6,2,8,3,4,1,5,7] => 0010101
[6,2,1,4,8,3,5,7] => [2,6,8,1,3,4,5,7] => [8,2,1,6,3,4,5,7] => 1000101
[4,2,1,6,8,3,5,7] => [2,4,8,1,3,6,5,7] => [6,8,2,1,4,3,5,7] => 1010001
[4,2,1,6,3,8,5,7] => [2,4,6,1,8,3,5,7] => [8,2,1,4,3,6,5,7] => 1010101
[4,2,1,3,6,8,5,7] => [2,4,1,3,8,6,5,7] => [4,2,1,3,6,8,5,7] => 1010001
[2,1,4,3,8,6,5,7] => [2,1,4,3,6,8,5,7] => [2,1,4,3,8,6,5,7] => 1010101
[2,4,1,3,8,6,5,7] => [4,2,1,3,6,8,5,7] => [2,4,1,3,8,6,5,7] => 0010101
[4,2,1,3,8,6,5,7] => [2,4,1,3,6,8,5,7] => [4,2,1,3,8,6,5,7] => 1010101
[4,2,1,8,3,6,5,7] => [2,4,8,1,6,3,5,7] => [6,2,1,4,3,8,5,7] => 1010101
[4,2,1,8,6,3,5,7] => [2,4,6,1,3,8,5,7] => [8,6,2,1,4,3,5,7] => 1010101
[6,2,1,8,4,3,5,7] => [2,6,4,8,3,1,5,7] => [8,4,3,6,2,1,5,7] => 1010101
[8,2,1,6,4,3,5,7] => [2,8,4,6,3,1,5,7] => [6,4,3,8,2,1,5,7] => 1010101
[8,2,6,1,4,3,5,7] => [6,8,4,1,3,2,5,7] => [4,1,8,3,6,2,5,7] => 0010101
[4,2,8,1,6,3,5,7] => [8,4,6,2,3,1,5,7] => [6,2,4,3,8,1,5,7] => 0010101
[4,2,8,1,3,6,5,7] => [8,4,1,2,6,3,5,7] => [4,1,6,2,3,8,5,7] => 0010101
[2,4,8,1,3,6,5,7] => [8,2,1,4,6,3,5,7] => [2,4,6,1,3,8,5,7] => 0000101
[2,4,1,8,3,6,5,7] => [4,2,8,1,6,3,5,7] => [2,6,1,4,3,8,5,7] => 0010101
[2,1,4,8,3,6,5,7] => [2,1,8,4,6,3,5,7] => [2,1,4,6,3,8,5,7] => 1000101
[2,1,4,8,6,3,5,7] => [2,1,6,4,3,8,5,7] => [2,1,4,8,6,3,5,7] => 1000101
[2,4,8,6,1,3,5,7] => [6,2,1,4,3,8,5,7] => [2,4,8,6,1,3,5,7] => 0000101
[4,2,8,6,1,3,5,7] => [6,4,1,2,3,8,5,7] => [4,1,8,6,2,3,5,7] => 0010101
[6,2,8,4,1,3,5,7] => [4,8,2,6,3,1,5,7] => [6,2,3,8,4,1,5,7] => 0010101
[8,2,6,4,1,3,5,7] => [4,6,2,8,3,1,5,7] => [8,2,3,6,4,1,5,7] => 0010101
[8,4,6,2,1,3,5,7] => [2,6,1,8,3,4,5,7] => [8,2,1,3,6,4,5,7] => 1000101
[6,4,8,2,1,3,5,7] => [2,8,1,6,3,4,5,7] => [6,2,1,3,8,4,5,7] => 1000101
[4,6,8,2,1,3,5,7] => [2,8,1,4,3,6,5,7] => [4,6,8,2,1,3,5,7] => 1000001
[2,6,8,4,1,3,5,7] => [4,2,1,8,3,6,5,7] => [2,6,8,4,1,3,5,7] => 0010001
[2,6,8,1,4,3,5,7] => [8,2,4,1,3,6,5,7] => [2,4,1,6,8,3,5,7] => 0010001
[2,6,1,8,4,3,5,7] => [6,2,4,8,3,1,5,7] => [2,8,4,3,6,1,5,7] => 0010101
[2,1,6,8,4,3,5,7] => [2,1,4,8,3,6,5,7] => [2,1,6,8,4,3,5,7] => 1010001
[2,1,8,6,4,3,5,7] => [2,1,4,6,3,8,5,7] => [2,1,8,6,4,3,5,7] => 1010101
[2,8,6,4,1,3,5,7] => [4,2,1,6,3,8,5,7] => [2,8,6,4,1,3,5,7] => 0010101
[4,8,6,2,1,3,5,7] => [2,6,1,4,3,8,5,7] => [4,8,6,2,1,3,5,7] => 1000101
[6,8,4,2,1,3,5,7] => [2,4,1,8,3,6,5,7] => [6,8,4,2,1,3,5,7] => 1010001
[3,2,6,1,5,4,8,7] => [6,3,2,5,1,4,8,7] => [3,2,5,1,6,4,8,7] => 0101101
[5,2,4,3,8,1,7,6] => [8,5,4,2,3,7,1,6] => [4,2,5,3,7,1,8,6] => 0011011
[6,2,4,1,5,3,8,7] => [4,6,5,2,1,3,8,7] => [5,2,6,1,4,3,8,7] => 0011101
[4,3,6,1,5,2,8,7] => [6,5,4,3,1,2,8,7] => [4,3,5,1,6,2,8,7] => 0011101
[4,3,5,2,8,1,7,6] => [8,5,4,3,2,7,1,6] => [4,3,5,2,7,1,8,6] => 0011011
[4,3,7,2,6,5,8,1] => [8,7,4,3,6,2,5,1] => [4,3,6,2,7,5,8,1] => 0010111
[4,3,8,1,7,2,6,5] => [8,7,4,3,6,2,1,5] => [4,3,6,2,7,1,8,5] => 0010111
[4,3,8,1,5,2,7,6] => [8,5,4,3,1,7,2,6] => [4,3,5,1,7,2,8,6] => 0011011
[5,4,8,1,3,2,7,6] => [8,3,1,5,4,7,2,6] => [3,1,5,4,7,2,8,6] => 0101011
[2,1,5,4,8,3,7,6] => [2,1,8,5,4,7,3,6] => [2,1,5,4,7,3,8,6] => 1001011
[4,3,7,6,8,1,5,2] => [8,5,4,3,1,7,6,2] => [4,3,5,1,7,6,8,2] => 0011011
[4,3,7,1,8,5,6,2] => [7,6,4,3,8,5,1,2] => [4,3,8,5,6,1,7,2] => 0010111
[4,3,6,5,8,1,7,2] => [8,7,4,3,6,5,1,2] => [4,3,6,5,7,1,8,2] => 0010111
[6,3,5,4,7,2,8,1] => [8,7,6,5,3,4,2,1] => [5,3,6,4,7,2,8,1] => 0001111
[6,3,5,4,8,1,7,2] => [8,7,6,5,3,4,1,2] => [5,3,6,4,7,1,8,2] => 0001111
[7,4,6,5,8,1,3,2] => [8,3,1,7,6,4,5,2] => [3,1,6,4,7,5,8,2] => 0100111
[2,1,8,4,6,3,7,5] => [2,1,6,8,7,4,3,5] => [2,1,7,4,8,3,6,5] => 1000111
[8,4,6,1,3,2,7,5] => [6,3,1,8,7,4,2,5] => [3,1,7,4,8,2,6,5] => 0100111
[8,1,6,3,4,2,7,5] => [8,4,6,3,7,1,2,5] => [7,3,4,1,6,2,8,5] => 0010111
[8,1,6,3,7,2,5,4] => [8,7,6,5,2,1,3,4] => [5,2,6,1,7,3,8,4] => 0001111
[8,3,5,1,7,2,6,4] => [5,7,8,6,3,2,1,4] => [6,3,8,2,7,1,5,4] => 0001111
[8,3,5,2,6,1,7,4] => [6,5,8,7,3,2,1,4] => [7,3,8,2,5,1,6,4] => 0001111
[7,3,5,2,6,4,8,1] => [8,5,7,6,3,2,4,1] => [6,3,7,2,5,4,8,1] => 0001111
[8,2,6,3,5,1,7,4] => [5,8,6,7,3,2,1,4] => [7,3,6,2,8,1,5,4] => 0001111
[8,2,7,1,5,3,6,4] => [7,8,5,6,1,3,2,4] => [6,1,5,3,8,2,7,4] => 0001111
[8,2,4,1,5,3,7,6] => [4,8,5,2,1,7,3,6] => [5,2,7,1,4,3,8,6] => 0011011
[8,2,4,1,7,3,6,5] => [4,8,7,2,6,3,1,5] => [6,2,7,3,4,1,8,5] => 0010111
[8,2,4,3,6,1,7,5] => [6,8,4,2,7,3,1,5] => [4,2,7,3,8,1,6,5] => 0010111
[3,2,8,4,6,1,7,5] => [6,3,2,8,7,4,1,5] => [3,2,7,4,8,1,6,5] => 0100111
[3,2,8,1,5,4,7,6] => [8,3,2,5,1,7,4,6] => [3,2,5,1,7,4,8,6] => 0101011
[3,2,7,6,8,1,5,4] => [8,3,2,5,1,7,6,4] => [3,2,5,1,7,6,8,4] => 0101011
[3,2,7,1,8,5,6,4] => [7,3,2,6,8,5,1,4] => [3,2,8,5,6,1,7,4] => 0100111
[3,2,6,5,8,1,7,4] => [8,3,2,7,6,5,1,4] => [3,2,6,5,7,1,8,4] => 0100111
[6,5,7,2,4,3,8,1] => [8,7,4,2,6,5,3,1] => [4,2,6,5,7,3,8,1] => 0010111
[7,2,4,1,8,5,6,3] => [4,7,6,2,8,5,1,3] => [8,5,6,2,7,1,4,3] => 0010111
[7,6,8,1,5,2,4,3] => [8,5,4,2,1,7,6,3] => [4,2,5,1,7,6,8,3] => 0011011
[7,1,3,2,8,5,6,4] => [7,3,1,6,8,5,2,4] => [3,1,8,5,6,2,7,4] => 0100111
[7,2,8,1,5,4,6,3] => [8,7,6,5,1,4,2,3] => [5,1,6,4,7,2,8,3] => 0001111
[5,4,7,2,6,3,8,1] => [8,7,6,5,4,2,3,1] => [5,4,6,2,7,3,8,1] => 0001111
[5,4,8,2,6,1,7,3] => [6,8,7,5,4,2,1,3] => [5,4,7,2,8,1,6,3] => 0001111
[6,5,8,1,7,2,4,3] => [8,7,4,2,6,5,1,3] => [4,2,6,5,7,1,8,3] => 0010111
[2,1,6,5,8,3,7,4] => [2,1,8,7,6,5,3,4] => [2,1,6,5,7,3,8,4] => 1000111
[6,5,7,4,8,1,3,2] => [8,3,1,7,6,5,4,2] => [3,1,6,5,7,4,8,2] => 0100111
[6,5,7,1,8,3,4,2] => [7,4,8,3,6,5,1,2] => [6,5,8,3,4,1,7,2] => 0010111
[6,1,7,4,8,3,5,2] => [6,5,8,7,3,1,4,2] => [7,3,8,1,5,4,6,2] => 0001111
[5,4,7,1,8,3,6,2] => [7,6,8,5,4,3,1,2] => [5,4,8,3,6,1,7,2] => 0001111
[5,4,6,3,8,1,7,2] => [8,7,6,5,4,3,1,2] => [5,4,6,3,7,1,8,2] => 0001111
[2,1,4,3,6,5,8,7,11,12,10,9] => [2,1,4,3,6,5,8,7,10,12,11,9] => [2,1,4,3,6,5,8,7,11,12,10,9] => 10101010101
[2,1,4,3,6,5,9,10,8,7,12,11] => [2,1,4,3,6,5,8,10,9,7,12,11] => [2,1,4,3,6,5,9,10,8,7,12,11] => 10101010101
[2,1,4,3,6,5,10,11,12,9,8,7] => [2,1,4,3,6,5,8,9,12,10,11,7] => [2,1,4,3,6,5,10,11,12,9,8,7] => 10101011001
[2,1,4,3,7,8,6,5,10,9,12,11] => [2,1,4,3,6,8,7,5,10,9,12,11] => [2,1,4,3,7,8,6,5,10,9,12,11] => 10101010101
[2,1,4,3,7,8,6,5,11,12,10,9] => [2,1,4,3,6,8,7,5,10,12,11,9] => [2,1,4,3,7,8,6,5,11,12,10,9] => 10101010101
[2,1,4,3,7,10,6,11,12,9,8,5] => [2,1,4,3,8,9,7,12,10,6,11,5] => [2,1,4,3,7,10,6,11,12,9,8,5] => 10100011101
[2,1,4,3,8,9,10,7,6,5,12,11] => [2,1,4,3,6,7,10,8,9,5,12,11] => [2,1,4,3,8,9,10,7,6,5,12,11] => 10101100101
[2,1,4,3,9,10,11,12,8,7,6,5] => [2,1,4,3,6,7,8,12,9,10,11,5] => [2,1,4,3,9,10,11,12,8,7,6,5] => 10101110001
[2,1,5,6,4,3,8,7,10,9,12,11] => [2,1,4,6,5,3,8,7,10,9,12,11] => [2,1,5,6,4,3,8,7,10,9,12,11] => 10101010101
[2,1,5,6,4,3,8,7,11,12,10,9] => [2,1,4,6,5,3,8,7,10,12,11,9] => [2,1,5,6,4,3,8,7,11,12,10,9] => 10101010101
[2,1,5,6,4,3,9,10,8,7,12,11] => [2,1,4,6,5,3,8,10,9,7,12,11] => [2,1,5,6,4,3,9,10,8,7,12,11] => 10101010101
[2,1,5,6,4,3,10,11,12,9,8,7] => [2,1,4,6,5,3,8,9,12,10,11,7] => [2,1,5,6,4,3,10,11,12,9,8,7] => 10101011001
[2,1,5,8,4,9,10,7,6,3,12,11] => [2,1,6,7,5,10,8,4,9,3,12,11] => [2,1,5,8,4,9,10,7,6,3,12,11] => 10001110101
[2,1,6,7,8,5,4,3,10,9,12,11] => [2,1,4,5,8,6,7,3,10,9,12,11] => [2,1,6,7,8,5,4,3,10,9,12,11] => 10110010101
[2,1,6,7,8,5,4,3,11,12,10,9] => [2,1,4,5,8,6,7,3,10,12,11,9] => [2,1,6,7,8,5,4,3,11,12,10,9] => 10110010101
[2,1,6,7,10,5,4,11,12,9,8,3] => [2,1,8,5,9,6,7,12,10,4,11,3] => [2,1,6,7,10,5,4,11,12,9,8,3] => 10010011101
[2,1,6,9,10,5,11,12,8,7,4,3] => [2,1,4,7,8,6,12,10,9,5,11,3] => [2,1,6,9,10,5,11,12,8,7,4,3] => 10100110101
[2,1,7,8,9,10,6,5,4,3,12,11] => [2,1,4,5,6,10,7,8,9,3,12,11] => [2,1,7,8,9,10,6,5,4,3,12,11] => 10111000101
[2,1,8,9,10,11,12,7,6,5,4,3] => [2,1,4,5,6,7,12,8,9,10,11,3] => [2,1,8,9,10,11,12,7,6,5,4,3] => 10111100001
[3,4,2,1,6,5,8,7,10,9,12,11] => [2,4,3,1,6,5,8,7,10,9,12,11] => [3,4,2,1,6,5,8,7,10,9,12,11] => 10101010101
[3,4,2,1,6,5,8,7,11,12,10,9] => [2,4,3,1,6,5,8,7,10,12,11,9] => [3,4,2,1,6,5,8,7,11,12,10,9] => 10101010101
[3,4,2,1,6,5,9,10,8,7,12,11] => [2,4,3,1,6,5,8,10,9,7,12,11] => [3,4,2,1,6,5,9,10,8,7,12,11] => 10101010101
[3,4,2,1,6,5,10,11,12,9,8,7] => [2,4,3,1,6,5,8,9,12,10,11,7] => [3,4,2,1,6,5,10,11,12,9,8,7] => 10101011001
[3,4,2,1,7,8,6,5,10,9,12,11] => [2,4,3,1,6,8,7,5,10,9,12,11] => [3,4,2,1,7,8,6,5,10,9,12,11] => 10101010101
[3,4,2,1,7,8,6,5,11,12,10,9] => [2,4,3,1,6,8,7,5,10,12,11,9] => [3,4,2,1,7,8,6,5,11,12,10,9] => 10101010101
[3,4,2,1,7,10,6,11,12,9,8,5] => [2,4,3,1,8,9,7,12,10,6,11,5] => [3,4,2,1,7,10,6,11,12,9,8,5] => 10100011101
[3,4,2,1,8,9,10,7,6,5,12,11] => [2,4,3,1,6,7,10,8,9,5,12,11] => [3,4,2,1,8,9,10,7,6,5,12,11] => 10101100101
[3,4,2,1,9,10,11,12,8,7,6,5] => [2,4,3,1,6,7,8,12,9,10,11,5] => [3,4,2,1,9,10,11,12,8,7,6,5] => 10101110001
[3,6,2,7,8,5,4,1,10,9,12,11] => [4,5,3,8,6,2,7,1,10,9,12,11] => [3,6,2,7,8,5,4,1,10,9,12,11] => 00111010101
[3,6,2,7,8,5,4,1,11,12,10,9] => [4,5,3,8,6,2,7,1,10,12,11,9] => [3,6,2,7,8,5,4,1,11,12,10,9] => 00111010101
[3,8,2,9,10,11,12,7,6,5,4,1] => [4,5,3,6,7,12,8,2,9,10,11,1] => [3,8,2,9,10,11,12,7,6,5,4,1] => 00111110001
[4,5,6,3,2,1,8,7,10,9,12,11] => [2,3,6,4,5,1,8,7,10,9,12,11] => [4,5,6,3,2,1,8,7,10,9,12,11] => 11001010101
[4,5,6,3,2,1,8,7,11,12,10,9] => [2,3,6,4,5,1,8,7,10,12,11,9] => [4,5,6,3,2,1,8,7,11,12,10,9] => 11001010101
[4,5,6,3,2,1,9,10,8,7,12,11] => [2,3,6,4,5,1,8,10,9,7,12,11] => [4,5,6,3,2,1,9,10,8,7,12,11] => 11001010101
[4,5,6,3,2,1,10,11,12,9,8,7] => [2,3,6,4,5,1,8,9,12,10,11,7] => [4,5,6,3,2,1,10,11,12,9,8,7] => 11001011001
[4,5,8,3,2,9,10,7,6,1,12,11] => [6,3,7,4,5,10,8,2,9,1,12,11] => [4,5,8,3,2,9,10,7,6,1,12,11] => 01001110101
[4,7,8,3,9,10,6,5,2,1,12,11] => [2,5,6,4,10,8,7,3,9,1,12,11] => [4,7,8,3,9,10,6,5,2,1,12,11] => 10011010101
[5,6,7,8,4,3,2,1,10,9,12,11] => [2,3,4,8,5,6,7,1,10,9,12,11] => [5,6,7,8,4,3,2,1,10,9,12,11] => 11100010101
[5,6,7,8,4,3,2,1,11,12,10,9] => [2,3,4,8,5,6,7,1,10,12,11,9] => [5,6,7,8,4,3,2,1,11,12,10,9] => 11100010101
[5,6,7,10,4,3,2,11,12,9,8,1] => [8,3,4,9,5,6,7,12,10,2,11,1] => [5,6,7,10,4,3,2,11,12,9,8,1] => 01100011101
[5,6,9,10,4,3,11,12,8,7,2,1] => [2,7,4,8,5,6,12,10,9,3,11,1] => [5,6,9,10,4,3,11,12,8,7,2,1] => 10100110101
[5,8,9,10,4,11,12,7,6,3,2,1] => [2,3,6,7,5,12,10,8,9,4,11,1] => [5,8,9,10,4,11,12,7,6,3,2,1] => 11001100101
[6,7,8,9,10,5,4,3,2,1,12,11] => [2,3,4,5,10,6,7,8,9,1,12,11] => [6,7,8,9,10,5,4,3,2,1,12,11] => 11110000101
[7,8,9,10,11,12,6,5,4,3,2,1] => [2,3,4,5,6,12,7,8,9,10,11,1] => [7,8,9,10,11,12,6,5,4,3,2,1] => 11111000001
[2,5,3,4,7,1,8,6] => [7,2,5,3,4,8,1,6] => [2,5,3,4,8,1,7,6] => 0001011
[2,4,8,3,5,7,6,1] => [6,2,7,4,1,8,5,3] => [2,4,8,1,5,7,6,3] => 0000111
[4,2,5,3,1,8,6,7] => [3,5,4,1,2,8,6,7] => [4,1,5,3,2,8,6,7] => 0111001
[4,2,1,8,5,3,6,7] => [2,4,5,1,8,3,6,7] => [8,5,2,1,4,3,6,7] => 1011001
[1,5,8,4,3,2,6,7] => [1,3,4,8,5,2,6,7] => [1,5,8,4,3,2,6,7] => 0110001
[1,8,5,4,3,2,6,7] => [1,3,4,5,8,2,6,7] => [1,8,5,4,3,2,6,7] => 0111001
[1,7,4,3,8,5,2,6] => [1,5,4,8,7,3,2,6] => [1,7,4,3,8,5,2,6] => 0011011
[1,5,7,3,8,4,2,6] => [1,4,8,7,5,3,2,6] => [1,5,7,3,8,4,2,6] => 0010011
[4,8,1,5,7,3,6,2] => [8,6,7,4,1,3,5,2] => [4,7,1,6,3,5,8,2] => 0000111
[8,1,5,3,7,4,6,2] => [8,6,5,7,1,4,3,2] => [7,1,5,4,6,3,8,2] => 0001111
[3,8,4,7,6,5,2,1] => [2,5,3,6,7,8,4,1] => [3,8,4,7,6,5,2,1] => 1001111
[1,6,8,5,3,7,4,2] => [1,4,7,5,8,6,2,3] => [1,6,8,5,2,7,4,3] => 0011011
[6,8,1,7,4,3,5,2] => [8,5,4,7,3,6,1,2] => [6,7,4,3,5,1,8,2] => 0011011
[6,4,8,1,7,3,5,2] => [8,5,7,6,3,4,1,2] => [6,3,7,4,5,1,8,2] => 0001111
[6,4,8,7,1,5,2,3] => [7,5,2,6,1,4,8,3] => [6,2,5,4,8,7,1,3] => 0001111
[7,6,4,1,3,8,2,5] => [4,6,1,7,2,8,3,5] => [8,1,7,6,4,2,3,5] => 0010111
[4,2,1,7,8,5,3,6] => [2,4,5,1,8,3,7,6] => [7,8,5,2,1,4,3,6] => 1011001
[2,6,8,4,3,7,5,1] => [5,2,4,7,8,6,1,3] => [2,6,8,4,1,7,5,3] => 0011011
[7,2,6,3,4,1,8,5] => [4,7,6,3,8,2,1,5] => [8,3,6,2,4,1,7,5] => 0010111
[2,6,7,3,1,4,8,5] => [3,2,7,1,8,6,4,5] => [2,6,8,3,1,4,7,5] => 0100011
[2,7,1,8,3,5,4,6] => [7,2,8,5,3,4,1,6] => [2,5,3,8,4,7,1,6] => 0001011
[2,1,7,3,5,8,4,6] => [2,1,7,8,3,4,5,6] => [2,1,8,3,7,4,5,6] => 1000011
[8,7,1,3,6,2,4,5] => [7,6,1,2,4,3,8,5] => [6,1,4,8,7,2,3,5] => 0000111
[8,2,1,7,3,5,6,4] => [2,8,7,6,3,5,1,4] => [6,3,5,7,2,1,8,4] => 1000111
[1,2,8,7,4,5,6,3] => [1,2,6,7,4,5,8,3] => [1,2,8,7,4,5,6,3] => 0000111
[8,6,1,2,7,5,3,4] => [6,1,5,2,8,7,3,4] => [7,5,1,2,8,6,3,4] => 0001111
[8,1,6,2,7,4,5,3] => [8,6,5,7,4,1,2,3] => [7,4,5,1,6,2,8,3] => 0001111
[1,8,5,2,6,7,4,3] => [1,5,4,8,7,3,6,2] => [1,7,4,3,6,8,5,2] => 0011011
[5,2,1,8,6,7,4,3] => [2,5,4,7,1,8,6,3] => [8,6,7,4,2,1,5,3] => 1011011
[2,8,5,7,6,4,3,1] => [3,2,4,6,7,8,1,5] => [2,8,4,3,1,7,6,5] => 0110111
[1,7,8,5,2,6,4,3] => [1,5,4,8,6,3,7,2] => [1,6,4,3,7,8,5,2] => 0011101
[7,3,8,6,1,5,2,4] => [6,5,8,2,3,7,1,4] => [7,2,5,3,8,6,1,4] => 0001111
[8,7,1,6,4,5,3,2] => [7,3,5,6,4,1,8,2] => [6,4,5,3,1,8,7,2] => 0101111
[8,1,7,5,6,4,3,2] => [8,3,4,6,7,5,1,2] => [7,5,6,4,3,1,8,2] => 0110111
[1,8,6,7,5,4,3,2] => [1,3,4,5,7,8,6,2] => [1,8,6,7,5,4,3,2] => 0111011
[6,3,5,2,1,4,8,7] => [2,5,6,1,3,4,8,7] => [6,2,1,5,3,4,8,7] => 1001101
[6,3,5,7,2,8,4,1] => [4,8,7,6,1,5,3,2] => [6,1,5,7,3,8,4,2] => 0010111
[4,5,3,6,1,2,8,7] => [6,1,5,4,3,2,8,7] => [4,5,3,6,1,2,8,7] => 0001101
[3,5,1,4,6,2,8,7] => [5,6,3,1,4,2,8,7] => [3,6,1,4,5,2,8,7] => 0001101
[5,7,4,6,3,8,2,1] => [2,8,6,7,5,4,3,1] => [5,7,4,6,3,8,2,1] => 1000111
[8,1,4,7,3,6,2,5] => [8,6,7,1,2,3,4,5] => [7,1,6,2,8,3,4,5] => 0000111
[8,5,1,4,7,3,2,6] => [5,3,8,2,7,1,4,6] => [7,3,2,8,5,1,4,6] => 0101011
[2,1,8,5,7,4,3,6] => [2,1,4,7,8,3,5,6] => [2,1,8,4,3,7,5,6] => 1010011
[6,5,1,4,7,8,3,2] => [5,3,6,2,8,4,7,1] => [7,8,3,2,4,6,5,1] => 0101101
[5,1,4,6,8,3,7,2] => [5,7,8,1,4,6,3,2] => [6,8,1,4,7,3,5,2] => 0001011
[4,7,1,3,5,8,6,2] => [7,6,1,4,3,8,5,2] => [4,8,6,1,3,5,7,2] => 0000111
[4,8,3,7,1,2,6,5] => [7,1,8,4,6,2,3,5] => [4,6,1,2,8,3,7,5] => 0000111
[3,8,6,4,1,7,2,5] => [4,6,3,8,2,7,1,5] => [3,7,2,8,6,4,1,5] => 0010111
[2,8,7,5,4,1,3,6] => [4,2,1,5,7,3,8,6] => [2,8,7,5,4,1,3,6] => 0011011
[3,8,6,7,4,2,1,5] => [2,4,3,7,1,8,6,5] => [3,8,6,7,4,2,1,5] => 1010011
[5,7,6,8,4,2,3,1] => [3,4,2,8,5,7,6,1] => [5,7,6,8,4,2,3,1] => 0110011
[5,3,7,6,2,1,8,4] => [2,6,5,7,3,8,4,1] => [8,3,5,4,7,6,2,1] => 1001111
[5,3,6,2,8,7,1,4] => [7,6,5,1,3,2,8,4] => [5,1,6,3,8,7,2,4] => 0001111
[5,7,8,6,4,2,1,3] => [2,4,1,6,5,8,7,3] => [5,7,8,6,4,2,1,3] => 1010101
[2,6,7,5,4,8,1,3] => [8,2,1,5,7,6,4,3] => [2,6,7,5,4,8,1,3] => 0001011
[6,1,7,4,5,8,2,3] => [6,8,2,7,4,1,5,3] => [7,4,8,2,5,6,1,3] => 0000111
[6,7,3,5,1,8,2,4] => [5,8,7,2,3,6,1,4] => [6,7,2,8,3,5,1,4] => 0001011
[2,1,6,7,5,8,3,4] => [2,1,8,3,7,6,5,4] => [2,1,6,7,5,8,3,4] => 1000011
[2,1,5,7,3,6,8,4] => [2,1,7,8,5,3,6,4] => [2,1,5,8,3,6,7,4] => 1000011
[4,1,7,2,5,6,8,3] => [4,7,8,1,2,5,6,3] => [8,1,5,6,7,2,4,3] => 0010011
[2,4,7,1,6,5,8,3] => [7,2,8,4,6,1,5,3] => [2,4,6,1,8,5,7,3] => 0000111
[3,4,6,2,7,8,5,1] => [5,8,3,4,6,1,7,2] => [3,4,6,1,7,8,5,2] => 0001101
[4,6,1,2,5,8,7,3] => [6,1,7,4,2,5,8,3] => [4,8,7,1,2,5,6,3] => 0000111
[5,6,1,4,8,2,7,3] => [6,8,7,1,5,4,2,3] => [5,7,1,4,8,2,6,3] => 0000111
[3,5,6,4,7,1,8,2] => [7,8,3,6,5,4,1,2] => [3,5,6,4,8,1,7,2] => 0000111
[3,4,6,1,5,7,8,2] => [6,8,3,4,1,5,7,2] => [3,4,7,8,1,5,6,2] => 0000101
[3,4,1,5,7,6,8,2] => [4,8,3,1,5,7,6,2] => [3,5,7,6,8,1,4,2] => 0010011
[3,8,2,7,1,6,5,4] => [7,8,3,5,6,1,2,4] => [3,6,5,1,8,2,7,4] => 0001111
[3,8,2,7,6,1,5,4] => [6,7,3,5,2,8,1,4] => [3,5,2,8,1,7,6,4] => 0001111
[3,8,2,7,6,5,4,1] => [4,5,3,6,7,8,1,2] => [3,8,1,7,6,5,4,2] => 0011111
[4,8,7,2,6,5,3,1] => [3,5,6,4,7,2,8,1] => [4,8,7,2,6,5,3,1] => 0101111
[4,8,7,2,6,5,1,3] => [5,6,2,4,7,1,8,3] => [4,8,7,2,6,5,1,3] => 0001111
[4,8,7,2,6,1,5,3] => [6,7,5,4,1,2,8,3] => [4,5,1,8,7,2,6,3] => 0001111
[4,8,7,2,1,6,5,3] => [2,7,5,4,6,1,8,3] => [4,6,5,2,1,8,7,3] => 1001111
[4,8,7,3,1,6,5,2] => [3,7,5,4,6,2,8,1] => [4,6,5,2,8,7,3,1] => 0101111
[4,8,7,3,2,1,6,5] => [2,3,7,4,6,1,8,5] => [4,6,3,2,1,8,7,5] => 1100111
[4,8,7,3,2,6,1,5] => [6,3,7,4,1,2,8,5] => [4,8,7,3,1,6,2,5] => 0100111
[4,8,7,3,2,6,5,1] => [5,3,6,4,7,1,8,2] => [4,8,7,3,1,6,5,2] => 0101111
[4,8,7,3,6,2,5,1] => [5,6,7,4,2,3,8,1] => [4,8,7,2,6,3,5,1] => 0001111
[4,8,7,3,6,2,1,5] => [2,6,7,4,1,3,8,5] => [4,8,7,2,1,6,3,5] => 1000111
[4,8,7,3,6,5,1,2] => [5,1,6,4,7,2,8,3] => [4,8,7,1,2,6,5,3] => 0001111
[4,8,7,3,6,5,2,1] => [2,5,6,4,7,1,8,3] => [4,8,7,2,1,6,5,3] => 1001111
[5,8,7,6,3,4,2,1] => [2,4,6,3,5,7,8,1] => [5,8,7,6,3,4,2,1] => 1010111
[5,8,7,6,3,2,4,1] => [4,3,6,2,5,7,8,1] => [5,8,7,6,3,2,4,1] => 0110111
[5,8,7,6,2,4,3,1] => [3,4,6,1,5,7,8,2] => [5,8,7,6,1,4,3,2] => 0110111
[5,8,7,6,2,1,4,3] => [2,6,4,1,5,7,8,3] => [4,2,1,5,8,7,6,3] => 1010111
[5,8,7,6,4,2,3,1] => [3,4,2,6,5,7,8,1] => [5,8,7,6,4,2,3,1] => 0110111
[5,8,7,6,4,2,1,3] => [2,4,1,6,5,7,8,3] => [5,8,7,6,4,2,1,3] => 1010111
[5,8,7,6,4,3,1,2] => [3,1,4,6,5,7,8,2] => [5,8,7,6,4,3,1,2] => 0110111
[7,3,5,2,6,4,1,8] => [4,6,5,7,1,3,2,8] => [7,1,5,3,6,4,2,8] => 0011110
[6,3,5,2,7,4,8,1] => [8,5,6,7,3,2,4,1] => [7,3,6,2,5,4,8,1] => 0001111
[7,3,5,1,6,4,2,8] => [5,4,6,7,2,1,3,8] => [7,2,6,4,1,5,3,8] => 0011110
[1,4,5,7,3,2,8,6] => [1,3,7,4,5,8,2,6] => [1,4,5,8,3,2,7,6] => 0100011
[1,4,6,7,3,8,2,5] => [1,8,7,4,2,6,3,5] => [1,4,6,7,2,8,3,5] => 0000011
[6,3,5,1,7,4,8,2] => [5,8,6,7,3,1,4,2] => [7,3,6,1,8,4,5,2] => 0001111
[6,2,1,5,7,4,8,3] => [2,6,8,7,1,5,4,3] => [7,2,1,5,8,4,6,3] => 1000111
[1,4,6,7,3,8,5,2] => [1,5,8,4,7,6,2,3] => [1,4,6,7,2,8,5,3] => 0001011
[2,5,6,7,8,3,1,4] => [3,2,8,1,5,6,7,4] => [2,5,6,7,8,3,1,4] => 0100001
[3,2,1,6,7,8,4,5] => [2,3,1,8,4,6,7,5] => [3,2,1,6,7,8,4,5] => 1100001
[5,2,1,6,7,8,4,3] => [2,5,4,8,1,6,7,3] => [6,7,8,4,2,1,5,3] => 1011001
[5,3,6,1,7,8,4,2] => [6,4,8,5,2,1,7,3] => [5,2,7,8,4,1,6,3] => 0011101
[5,4,6,7,1,8,3,2] => [7,3,8,5,4,6,1,2] => [5,4,6,8,3,1,7,2] => 0101011
[1,5,6,7,8,3,2,4] => [1,3,8,2,5,6,7,4] => [1,5,6,7,8,3,2,4] => 0100001
[5,4,6,7,2,8,3,1] => [3,8,7,5,4,6,1,2] => [5,4,6,7,1,8,3,2] => 0101011
[5,3,6,2,7,8,4,1] => [4,8,6,5,1,3,7,2] => [5,1,6,3,7,8,4,2] => 0011101
[5,3,6,2,7,8,1,4] => [8,6,5,1,3,2,7,4] => [5,1,6,3,7,8,2,4] => 0001101
[6,3,4,2,1,7,8,5] => [2,4,6,3,8,1,7,5] => [7,8,3,4,2,1,6,5] => 1010101
[5,3,4,1,2,7,8,6] => [4,1,5,3,2,8,7,6] => [5,3,4,1,2,7,8,6] => 0011001
[4,3,6,2,7,8,5,1] => [5,8,4,3,6,1,7,2] => [4,3,6,1,7,8,5,2] => 0011101
[3,4,5,7,2,1,8,6] => [2,7,3,4,5,8,1,6] => [3,4,5,8,2,1,7,6] => 1000011
[4,2,1,6,7,8,3,5] => [2,4,8,1,3,6,7,5] => [6,7,8,2,1,4,3,5] => 1010001
[4,3,6,1,7,8,2,5] => [6,8,4,3,2,1,7,5] => [4,3,7,8,2,6,1,5] => 0010101
[1,5,6,7,8,2,4,3] => [1,8,4,2,5,6,7,3] => [1,4,2,5,6,7,8,3] => 0010001
[3,4,6,7,1,8,5,2] => [7,5,3,4,8,6,1,2] => [3,4,6,8,5,1,7,2] => 0001011
[4,3,6,1,7,8,5,2] => [6,5,4,3,8,1,7,2] => [4,3,7,8,5,1,6,2] => 0011101
[2,3,6,1,7,8,5,4] => [6,2,3,5,8,1,7,4] => [2,3,7,8,5,1,6,4] => 0001101
[2,4,6,7,1,8,5,3] => [7,2,5,4,8,6,1,3] => [2,4,6,8,5,1,7,3] => 0001011
[2,5,6,7,8,1,4,3] => [8,2,4,1,5,6,7,3] => [2,4,1,5,6,7,8,3] => 0010001
[2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7,9] => 10101010
[2,4,1,3,6,5,8,7,9] => [4,2,1,3,6,5,8,7,9] => [2,4,1,3,6,5,8,7,9] => 00101010
[2,3,1,5,4,7,6,9,8] => [3,2,1,5,4,7,6,9,8] => [2,3,1,5,4,7,6,9,8] => 01010101
[1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => 01010101
[2,4,1,3,6,5,8,7,10,9] => [4,2,1,3,6,5,8,7,10,9] => [2,4,1,3,6,5,8,7,10,9] => 001010101
[2,4,6,1,3,5,8,7,9] => [6,2,1,4,3,5,8,7,9] => [2,4,6,1,3,5,8,7,9] => 00001010
[2,3,1,5,4,7,6,9,8,10] => [3,2,1,5,4,7,6,9,8,10] => [2,3,1,5,4,7,6,9,8,10] => 010101010
[1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => 010101010
[7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9] => 00000100
[1,4,3,6,2,5,7,8] => [1,6,4,3,2,5,7,8] => [1,4,3,6,2,5,7,8] => 0010100
[1,4,3,7,2,5,6,8] => [1,7,4,3,2,5,6,8] => [1,4,3,7,2,5,6,8] => 0010010
[1,4,3,7,6,8,2,5] => [1,8,4,3,2,7,6,5] => [1,4,3,7,6,8,2,5] => 0010011
[1,4,3,7,2,6,5,8] => [1,7,4,3,6,2,5,8] => [1,4,3,6,2,7,5,8] => 0010110
[1,5,3,7,4,8,2,6] => [1,8,5,7,3,2,4,6] => [1,7,3,5,2,8,4,6] => 0001011
[1,3,2,6,5,8,4,7] => [1,3,2,8,6,5,4,7] => [1,3,2,6,5,8,4,7] => 0100101
[1,5,4,8,2,6,3,7] => [1,8,6,5,4,2,3,7] => [1,5,4,6,2,8,3,7] => 0001101
[1,5,4,8,3,7,2,6] => [1,7,8,5,4,2,3,6] => [1,5,4,8,2,7,3,6] => 0001011
[1,2,3,6,5,8,4,7] => [1,2,3,8,6,5,4,7] => [1,2,3,6,5,8,4,7] => 0000101
[6,8,2,4,5,7,1,3] => [7,8,1,2,4,6,5,3] => [6,8,1,4,5,7,2,3] => 0000011
[3,7,8,4,5,2,6,1] => [6,5,3,8,4,2,7,1] => [3,7,8,4,5,2,6,1] => 0001101
[7,8,1,4,5,3,6,2] => [8,6,5,1,4,3,7,2] => [5,1,4,6,3,7,8,2] => 0001101
[4,8,3,6,1,5,7,2] => [6,7,8,4,1,3,5,2] => [4,8,1,7,3,5,6,2] => 0000111
[5,8,3,1,6,4,7,2] => [3,8,7,6,5,2,4,1] => [5,6,2,7,4,8,3,1] => 0100111
[5,8,1,4,7,6,3,2] => [8,3,6,1,5,7,4,2] => [5,7,6,3,1,4,8,2] => 0100111
[7,5,1,8,6,2,4,3] => [5,7,4,1,6,8,2,3] => [4,1,8,6,2,7,5,3] => 0011111
[7,1,8,4,2,6,3,5] => [7,4,8,6,2,3,1,5] => [6,2,8,4,3,7,1,5] => 0010111
[6,1,3,8,5,2,4,7] => [6,5,1,2,8,3,4,7] => [8,5,1,6,2,3,4,7] => 0001101
[7,3,1,8,4,2,6,5] => [3,7,4,8,6,1,2,5] => [6,4,1,8,3,2,7,5] => 0110111
[7,2,8,3,6,1,5,4] => [6,7,8,5,1,3,2,4] => [5,1,8,3,7,2,6,4] => 0001111
[1,5,2,3,8,4,7,6] => [1,5,2,8,3,7,4,6] => [1,7,2,3,5,4,8,6] => 0001011
[3,1,6,4,2,8,5,7] => [3,4,1,6,8,2,5,7] => [8,4,1,3,2,6,5,7] => 0110101
[2,6,3,8,5,1,4,7] => [5,2,8,3,6,1,4,7] => [2,6,3,8,5,1,4,7] => 0001101
[1,2,5,3,8,4,7,6] => [1,2,5,8,3,7,4,6] => [1,2,7,3,5,4,8,6] => 0001011
[2,4,8,3,7,1,6,5] => [7,2,8,4,6,1,3,5] => [2,4,6,1,8,3,7,5] => 0000111
[2,4,8,3,7,6,1,5] => [6,2,7,4,3,8,1,5] => [2,4,8,3,7,6,1,5] => 0000111
[2,5,4,1,3,8,7,6] => [4,2,1,5,3,7,8,6] => [2,5,4,1,3,8,7,6] => 0011011
[3,1,5,4,8,2,7,6] => [3,8,1,5,4,7,2,6] => [5,4,7,1,3,2,8,6] => 0101011
[4,8,2,3,7,6,1,5] => [6,7,1,4,2,8,3,5] => [4,8,1,7,6,2,3,5] => 0000111
[4,8,2,3,7,1,6,5] => [7,8,2,4,6,1,3,5] => [4,6,2,8,1,3,7,5] => 0000111
[4,8,1,2,3,7,6,5] => [8,1,2,4,6,7,3,5] => [4,7,6,1,2,3,8,5] => 0000111
[1,4,8,2,3,7,6,5] => [1,8,2,4,6,7,3,5] => [1,4,7,6,2,3,8,5] => 0000111
[1,4,8,3,7,2,6,5] => [1,7,8,4,6,2,3,5] => [1,4,6,2,8,3,7,5] => 0000111
[6,3,8,1,5,2,4,7] => [8,5,6,2,1,3,4,7] => [6,2,5,1,8,3,4,7] => 0001101
[5,3,8,1,2,4,7,6] => [8,1,5,2,3,7,4,6] => [5,1,2,7,3,4,8,6] => 0001011
[5,1,3,8,2,4,7,6] => [5,8,1,2,3,7,4,6] => [7,1,5,2,3,4,8,6] => 0001011
[1,5,3,8,2,4,7,6] => [1,8,5,2,3,7,4,6] => [1,5,2,7,3,4,8,6] => 0001011
[6,5,1,2,8,7,4,3] => [5,1,4,6,7,3,8,2] => [8,7,4,3,6,5,1,2] => 0011111
[5,1,6,2,8,7,4,3] => [5,6,4,7,1,2,8,3] => [8,7,4,1,6,2,5,3] => 0011111
[3,6,2,8,7,5,1,4] => [5,7,3,2,6,1,8,4] => [3,6,2,8,7,5,1,4] => 0001111
[4,2,6,1,8,7,3,5] => [6,4,7,2,3,1,8,5] => [8,7,2,4,3,6,1,5] => 0010111
[3,5,2,8,7,1,4,6] => [7,5,3,1,2,4,8,6] => [3,5,1,8,7,2,4,6] => 0001011
[3,4,8,7,1,2,6,5] => [7,1,3,4,6,2,8,5] => [3,4,6,1,2,8,7,5] => 0000111
[3,4,8,1,2,7,6,5] => [8,1,3,4,6,7,2,5] => [3,4,7,6,1,2,8,5] => 0000111
[3,4,8,2,7,1,6,5] => [7,8,3,4,6,1,2,5] => [3,4,6,1,8,2,7,5] => 0000111
[3,4,8,2,7,6,1,5] => [6,7,3,4,2,8,1,5] => [3,4,8,2,7,6,1,5] => 0000111
[4,3,1,2,5,8,7,6] => [3,1,4,2,5,7,8,6] => [4,3,1,2,5,8,7,6] => 0110011
[6,4,1,2,7,3,5,8] => [4,1,6,7,2,3,5,8] => [7,1,2,6,4,3,5,8] => 0010110
[6,3,1,5,4,2,7,8] => [3,6,4,5,2,1,7,8] => [5,4,2,6,3,1,7,8] => 0111100
[7,8,1,5,4,2,6,3] => [8,4,5,6,1,3,7,2] => [6,1,5,4,3,7,8,2] => 0011101
[7,8,3,5,4,1,6,2] => [4,5,6,8,1,2,7,3] => [7,8,1,6,2,5,4,3] => 0011101
[5,3,6,1,4,7,8,2] => [6,8,5,1,3,4,7,2] => [5,1,7,8,3,4,6,2] => 0001101
[5,3,6,2,4,7,1,8] => [7,6,5,2,3,4,1,8] => [5,2,6,3,4,7,1,8] => 0001110
[6,4,2,1,7,3,8,5] => [2,4,6,7,8,3,1,5] => [8,3,7,4,2,1,6,5] => 1010111
[4,2,7,1,8,3,6,5] => [7,4,8,2,6,3,1,5] => [6,2,4,3,8,1,7,5] => 0010111
[3,2,6,7,4,8,1,5] => [8,3,2,7,1,6,4,5] => [3,2,6,7,1,8,4,5] => 0100011
[3,1,6,7,4,8,5,2] => [3,5,1,8,7,6,2,4] => [6,7,1,3,2,8,5,4] => 0101011
[1,7,6,5,3,8,4,2] => [1,4,8,5,6,7,2,3] => [1,7,6,5,2,8,4,3] => 0011111
[2,7,6,5,3,8,1,4] => [8,2,5,1,6,7,3,4] => [2,7,6,5,1,8,3,4] => 0001111
[2,7,6,5,3,1,4,8] => [3,2,5,1,6,7,4,8] => [2,7,6,5,3,1,4,8] => 0101110
[4,7,6,5,2,1,3,8] => [2,5,1,4,6,7,3,8] => [4,7,6,5,2,1,3,8] => 1001110
[4,7,6,5,1,8,3,2] => [5,3,6,4,7,8,1,2] => [4,8,3,1,7,6,5,2] => 0101111
[1,7,6,5,2,8,3,4] => [1,5,6,3,7,8,2,4] => [1,8,3,7,6,5,2,4] => 0001111
[1,7,6,5,3,2,8,4] => [1,3,5,6,7,8,2,4] => [1,8,3,2,7,6,5,4] => 0101111
[4,7,6,5,1,2,8,3] => [5,1,6,4,7,8,2,3] => [4,8,1,2,7,6,5,3] => 0001111
[4,7,6,5,3,1,8,2] => [3,5,6,4,7,8,2,1] => [4,8,2,7,6,5,3,1] => 0101111
[5,2,6,3,4,1,7,8] => [4,5,6,3,2,1,7,8] => [6,3,5,2,4,1,7,8] => 0011100
[1,2,6,3,4,8,7,5] => [1,2,6,3,7,4,8,5] => [1,2,8,7,3,4,6,5] => 0000111
[6,1,4,2,8,3,5,7] => [6,4,8,1,3,2,5,7] => [8,1,4,3,6,2,5,7] => 0010101
[4,1,8,2,6,3,5,7] => [4,8,6,1,3,2,5,7] => [6,1,8,3,4,2,5,7] => 0010101
[1,2,6,7,4,8,5,3] => [1,2,5,8,7,6,3,4] => [1,2,6,7,3,8,5,4] => 0001011
[3,2,8,5,4,6,1,7] => [6,3,2,5,8,4,1,7] => [3,2,8,5,4,6,1,7] => 0101101
[4,7,6,3,5,8,1,2] => [8,1,6,4,3,7,5,2] => [4,7,6,3,5,8,1,2] => 0000111
[4,7,1,2,5,3,8,6] => [7,1,5,4,2,8,3,6] => [4,5,1,2,8,3,7,6] => 0001011
[3,7,6,5,1,4,8,2] => [5,6,3,1,7,8,4,2] => [3,8,1,4,7,6,5,2] => 0001111
[1,7,6,5,8,2,4,3] => [1,8,4,2,6,7,5,3] => [1,4,2,7,6,5,8,3] => 0010111
[3,1,6,8,4,2,5,7] => [3,4,1,8,2,6,5,7] => [6,8,4,1,3,2,5,7] => 0110001
[6,3,2,1,7,4,8,5] => [2,3,6,7,8,1,4,5] => [8,3,2,1,7,4,6,5] => 1100111
[4,2,1,7,3,5,8,6] => [2,4,7,1,3,8,5,6] => [8,2,1,4,3,5,7,6] => 1010011
[8,4,1,5,2,7,6,3] => [4,8,5,6,2,7,3,1] => [7,6,2,5,3,8,4,1] => 0011111
[8,2,5,1,3,7,6,4] => [5,8,1,6,2,7,3,4] => [7,6,1,8,2,3,5,4] => 0001111
[2,7,5,4,1,3,8,6] => [4,2,1,5,7,8,3,6] => [2,8,5,4,1,3,7,6] => 0011011
[7,5,4,3,2,1,8,6] => [2,3,4,5,7,8,1,6] => [8,5,4,3,2,1,7,6] => 1111011
[8,5,3,2,1,7,6,4] => [2,3,5,8,6,7,4,1] => [7,6,4,8,5,3,2,1] => 1101111
[1,7,6,2,4,8,3,5] => [1,6,7,3,2,8,4,5] => [1,8,3,7,6,2,4,5] => 0000111
[2,7,3,6,4,8,1,5] => [8,2,7,6,1,3,4,5] => [2,6,1,7,3,8,4,5] => 0000111
[6,2,7,5,3,8,1,4] => [8,6,5,1,7,2,3,4] => [7,5,1,6,2,8,3,4] => 0001111
[5,8,1,6,2,7,4,3] => [8,6,4,7,5,1,2,3] => [5,7,4,1,6,2,8,3] => 0010111
[5,8,3,2,7,1,6,4] => [7,3,8,6,5,1,2,4] => [5,6,3,1,8,2,7,4] => 0100111
[8,7,2,6,1,5,4,3] => [6,7,4,5,1,2,8,3] => [5,4,1,8,7,2,6,3] => 0011111
[1,8,5,7,4,3,6,2] => [1,6,4,7,8,3,5,2] => [1,8,4,3,7,5,6,2] => 0010111
[3,8,6,1,7,2,5,4] => [6,8,3,5,1,7,2,4] => [3,5,1,7,2,8,6,4] => 0001111
[3,7,2,6,8,4,1,5] => [4,8,3,7,2,1,6,5] => [3,7,2,6,8,4,1,5] => 0010011
[2,6,5,8,4,1,3,7] => [4,2,1,8,6,5,3,7] => [2,6,5,8,4,1,3,7] => 0010101
[8,2,4,7,1,3,6,5] => [7,8,1,2,6,3,4,5] => [6,1,8,2,3,4,7,5] => 0000111
[6,2,5,8,1,4,3,7] => [8,6,4,1,2,5,3,7] => [4,1,6,2,5,8,3,7] => 0010101
[4,3,6,8,2,1,5,7] => [2,8,4,3,1,6,5,7] => [4,3,6,8,2,1,5,7] => 1010001
[6,3,5,1,8,4,2,7] => [5,4,8,6,2,1,3,7] => [6,2,8,4,1,5,3,7] => 0011101
[6,4,2,5,8,3,1,7] => [3,8,4,6,1,5,2,7] => [6,4,1,5,8,3,2,7] => 0110101
[6,5,2,1,7,8,3,4] => [2,5,6,1,8,3,7,4] => [7,8,2,1,6,5,3,4] => 1001101
[4,7,2,5,8,6,3,1] => [3,6,8,4,2,7,5,1] => [4,7,2,5,8,6,3,1] => 0100111
[6,3,1,8,4,7,5,2] => [3,6,5,7,8,2,1,4] => [8,2,7,5,3,1,6,4] => 0101111
[6,5,3,8,7,4,1,2] => [4,1,7,5,6,2,8,3] => [6,5,1,2,8,7,4,3] => 0011111
[8,5,3,7,6,4,2,1] => [2,4,6,5,7,8,3,1] => [8,5,3,7,6,4,2,1] => 1011111
[5,2,8,1,7,3,6,4] => [8,5,7,6,2,3,1,4] => [6,2,7,3,5,1,8,4] => 0001111
[6,4,7,8,1,5,3,2] => [8,3,5,6,1,4,7,2] => [6,3,1,5,4,7,8,2] => 0101101
[8,3,7,6,1,5,4,2] => [6,4,5,7,2,8,1,3] => [8,2,5,4,1,7,6,3] => 0011111
[2,4,8,7,6,1,3,5] => [6,2,1,4,3,7,8,5] => [2,4,8,7,6,1,3,5] => 0000111
[3,5,8,7,2,6,1,4] => [6,7,3,1,5,2,8,4] => [3,5,8,7,1,6,2,4] => 0000111
[7,5,8,6,4,3,2,1] => [2,3,4,6,8,7,1,5] => [7,4,3,2,1,8,6,5] => 1110111
[4,8,7,6,2,5,3,1] => [3,5,6,4,1,7,8,2] => [4,8,7,6,1,5,3,2] => 0101111
[3,8,7,6,5,1,4,2] => [5,4,3,1,6,7,8,2] => [3,4,1,8,7,6,5,2] => 0011111
[2,8,7,6,5,4,1,3] => [4,2,1,5,6,7,8,3] => [2,8,7,6,5,4,1,3] => 0011111
[3,4,1,2,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9] => [3,4,1,2,5,6,7,8,9] => 00100000
[3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => 11000000
[4,5,6,1,2,3,7,8,9] => [6,1,2,4,5,3,7,8,9] => [4,5,6,1,2,3,7,8,9] => 00001000
[4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => 11100000
[5,6,7,8,1,2,3,4,9] => [8,1,2,3,5,6,7,4,9] => [5,6,7,8,1,2,3,4,9] => 00000010
[5,6,3,4,1,2,7,8,9] => [4,1,6,3,5,2,7,8,9] => [5,6,3,4,1,2,7,8,9] => 00101000
[5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => 11110000
[6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => 11111000
[7,4,8,2,5,9,1,3,6] => [9,8,1,7,2,3,4,5,6] => [7,1,8,2,3,9,4,5,6] => 00000111
[7,8,5,6,3,4,1,2,9] => [4,1,6,3,8,5,7,2,9] => [7,8,5,6,3,4,1,2,9] => 00101010
[7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9] => [7,6,5,4,3,2,1,8,9] => 11111100
[3,4,1,2,5,6,7,8,9,10] => [4,1,3,2,5,6,7,8,9,10] => [3,4,1,2,5,6,7,8,9,10] => 001000000
[3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[4,5,6,1,2,3,7,8,9,10] => [6,1,2,4,5,3,7,8,9,10] => [4,5,6,1,2,3,7,8,9,10] => 000010000
[4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => 111000000
[5,6,7,8,1,2,3,4,9,10] => [8,1,2,3,5,6,7,4,9,10] => [5,6,7,8,1,2,3,4,9,10] => 000000100
[5,6,3,4,1,2,7,8,9,10] => [4,1,6,3,5,2,7,8,9,10] => [5,6,3,4,1,2,7,8,9,10] => 001010000
[5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[7,8,9,4,5,6,1,2,3,10] => [6,1,2,9,4,5,7,8,3,10] => [7,8,9,4,5,6,1,2,3,10] => 000010010
[7,8,5,6,3,4,1,2,9,10] => [4,1,6,3,8,5,7,2,9,10] => [7,8,5,6,3,4,1,2,9,10] => 001010100
[7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[3,6,5,1,2,4,8,7] => [5,1,3,2,6,4,8,7] => [3,6,5,1,2,4,8,7] => 0001101
[5,1,7,8,4,3,2,6] => [5,3,4,8,1,2,7,6] => [7,8,4,3,1,5,2,6] => 0111001
[5,1,2,4,6,3,8,7] => [5,1,6,2,4,3,8,7] => [6,1,2,4,5,3,8,7] => 0001101
[4,1,2,6,5,3,8,7] => [4,1,5,2,6,3,8,7] => [6,5,1,2,4,3,8,7] => 0011101
[4,1,5,7,8,3,2,6] => [4,3,8,1,5,2,7,6] => [5,7,8,3,1,4,2,6] => 0110001
[4,1,5,8,7,3,2,6] => [4,3,7,1,5,2,8,6] => [5,8,7,3,1,4,2,6] => 0110011
[4,7,1,8,3,6,2,5] => [7,6,8,4,2,3,1,5] => [4,8,2,6,3,7,1,5] => 0000111
[4,1,7,8,5,2,3,6] => [4,5,2,1,8,3,7,6] => [7,8,5,2,4,1,3,6] => 0011001
[2,1,5,8,7,3,4,6] => [2,1,7,3,5,4,8,6] => [2,1,5,8,7,3,4,6] => 1000011
[4,7,1,6,3,2,8,5] => [7,3,6,4,8,1,2,5] => [4,8,3,1,6,2,7,5] => 0100111
[6,1,2,3,7,5,8,4] => [6,1,2,8,7,3,5,4] => [7,1,2,3,8,5,6,4] => 0000111
[7,1,2,3,5,8,6,4] => [7,1,2,6,3,8,5,4] => [8,6,1,2,3,5,7,4] => 0000111
[6,8,1,4,3,7,2,5] => [8,7,4,1,2,6,3,5] => [4,1,6,7,2,8,3,5] => 0010011
[8,7,3,2,4,1,6,5] => [4,3,7,2,6,1,8,5] => [6,3,2,4,1,8,7,5] => 0110111
[2,1,7,3,4,8,6,5] => [2,1,7,3,6,8,4,5] => [2,1,8,6,3,4,7,5] => 1000111
[7,1,2,3,6,8,5,4] => [7,1,2,5,8,3,6,4] => [8,5,1,2,3,6,7,4] => 0001011
[8,1,2,3,7,5,6,4] => [8,1,2,6,7,5,3,4] => [7,5,6,1,2,3,8,4] => 0000111
[8,1,2,3,6,5,7,4] => [8,1,2,7,6,3,5,4] => [6,1,2,3,7,5,8,4] => 0000111
[7,1,8,5,4,3,2,6] => [7,3,4,5,8,2,1,6] => [8,5,4,3,2,7,1,6] => 0111011
[6,7,2,8,3,4,1,5] => [4,7,8,3,1,6,2,5] => [6,8,3,7,1,4,2,5] => 0010011
[3,8,7,1,4,2,6,5] => [7,4,3,1,6,2,8,5] => [3,4,1,6,2,8,7,5] => 0010111
[3,6,8,1,4,2,7,5] => [8,4,3,1,7,6,2,5] => [3,4,1,6,7,2,8,5] => 0010011
[3,5,7,8,2,4,1,6] => [4,8,3,2,5,1,7,6] => [3,5,7,8,2,4,1,6] => 0010001
[7,6,2,8,3,1,4,5] => [3,8,6,2,4,7,1,5] => [7,6,2,4,8,3,1,5] => 0100111
[8,6,2,7,3,1,4,5] => [3,7,6,2,4,8,1,5] => [8,6,2,4,7,3,1,5] => 0100111
[8,1,7,5,4,3,2,6] => [8,3,4,5,7,2,1,6] => [7,5,4,3,2,8,1,6] => 0111011
[5,8,3,7,1,4,2,6] => [7,4,8,1,5,2,3,6] => [5,8,1,4,2,7,3,6] => 0010011
[2,1,7,3,4,6,8,5] => [2,1,7,3,8,4,6,5] => [2,1,8,3,4,6,7,5] => 1000011
[6,7,3,2,4,1,8,5] => [4,3,7,2,8,6,1,5] => [6,8,3,2,4,1,7,5] => 0110011
[8,7,2,4,3,6,1,5] => [6,7,4,2,1,3,8,5] => [4,2,8,7,1,6,3,5] => 0010111
[7,1,2,3,5,6,8,4] => [7,1,2,8,3,5,6,4] => [8,1,2,3,5,6,7,4] => 0000011
[6,1,2,3,8,7,4,5] => [6,1,2,7,4,3,8,5] => [8,7,4,6,1,2,3,5] => 0000111
[5,1,2,3,8,7,6,4] => [5,1,2,6,3,7,8,4] => [8,7,6,1,2,3,5,4] => 0001111
[8,6,2,4,3,1,7,5] => [3,4,6,1,8,7,5,2] => [7,5,8,6,1,4,3,2] => 0110111
[7,6,3,2,4,8,1,5] => [8,3,6,2,1,7,4,5] => [7,6,3,2,8,1,4,5] => 0100111
[2,1,6,3,4,8,7,5] => [2,1,6,3,7,4,8,5] => [2,1,8,7,3,4,6,5] => 1000111
[7,6,2,4,3,1,8,5] => [3,4,6,1,7,8,5,2] => [8,5,7,6,1,4,3,2] => 0110111
[6,1,2,3,5,7,8,4] => [6,1,2,8,3,5,7,4] => [7,8,1,2,3,5,6,4] => 0000101
[1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => [1,4,7,3,5,8,2,6] => 0000011
[1,2,8,5,4,7,3,6] => [1,2,7,5,8,3,4,6] => [1,2,8,5,3,7,4,6] => 0001011
[1,3,6,8,4,7,5,2] => [1,5,3,7,8,6,2,4] => [1,3,6,8,2,7,5,4] => 0001011
[7,4,6,1,5,2,3,8] => [6,5,2,7,1,4,3,8] => [7,2,5,4,6,1,3,8] => 0001110
[6,8,1,4,7,2,3,5] => [8,7,2,1,3,6,4,5] => [6,7,2,8,1,3,4,5] => 0000011
[1,6,4,2,8,3,5,7] => [1,4,6,8,2,3,5,7] => [1,8,2,6,4,3,5,7] => 0010101
[1,6,3,8,5,4,2,7] => [1,4,5,8,6,3,2,7] => [1,6,3,8,5,4,2,7] => 0011101
[6,8,1,2,7,3,5,4] => [8,1,7,5,3,6,2,4] => [5,3,6,7,1,2,8,4] => 0001011
[1,6,2,3,8,5,4,7] => [1,6,2,5,8,3,4,7] => [1,8,5,2,3,6,4,7] => 0001101
[6,2,8,1,7,3,5,4] => [8,6,7,5,3,2,1,4] => [5,3,7,2,6,1,8,4] => 0001111
[2,5,1,8,7,6,3,4] => [5,2,6,3,1,7,8,4] => [2,8,7,6,3,5,1,4] => 0001111
[1,2,5,3,8,7,4,6] => [1,2,5,7,3,4,8,6] => [1,2,8,7,3,5,4,6] => 0001011
[2,4,8,7,6,5,1,3] => [5,2,1,4,6,7,8,3] => [2,4,8,7,6,5,1,3] => 0001111
[2,5,8,4,1,7,6,3] => [4,2,8,6,5,7,3,1] => [2,5,7,6,3,8,4,1] => 0010111
[4,2,8,7,6,5,3,1] => [3,5,4,1,6,7,8,2] => [4,1,8,7,6,5,3,2] => 0111111
[4,1,8,7,6,5,3,2] => [4,3,5,1,6,7,8,2] => [8,7,6,5,3,1,4,2] => 0111111
[5,8,3,7,6,1,4,2] => [6,4,7,3,5,8,1,2] => [5,8,3,4,1,7,6,2] => 0010111
[5,1,3,8,7,6,2,4] => [5,6,1,2,3,7,8,4] => [8,7,6,1,5,2,3,4] => 0001111
[1,5,3,8,7,6,2,4] => [1,6,5,2,3,7,8,4] => [1,5,2,8,7,6,3,4] => 0001111
[1,5,8,4,7,2,6,3] => [1,7,6,8,5,2,4,3] => [1,5,8,2,6,4,7,3] => 0000111
[5,1,8,4,7,2,6,3] => [5,7,6,8,1,2,4,3] => [8,1,6,2,7,4,5,3] => 0001111
[6,8,5,1,2,4,7,3] => [5,1,8,3,7,6,4,2] => [6,7,3,4,8,5,1,2] => 0001011
[5,6,3,1,2,4,8,7] => [3,1,6,2,5,4,8,7] => [5,6,3,1,2,4,8,7] => 0100101
[5,6,1,2,4,3,8,7] => [6,1,4,2,5,3,8,7] => [4,1,2,5,6,3,8,7] => 0010101
[4,5,8,1,7,2,3,6] => [8,7,2,4,5,3,1,6] => [4,5,7,2,3,8,1,6] => 0000011
[4,5,8,1,7,2,6,3] => [8,7,6,4,5,2,1,3] => [4,5,6,2,7,1,8,3] => 0000111
[1,3,2,5,8,7,4,6] => [1,3,2,7,5,4,8,6] => [1,3,2,5,8,7,4,6] => 0100011
[3,5,1,8,7,4,6,2] => [5,6,3,7,1,4,8,2] => [3,8,7,1,6,4,5,2] => 0001111
[3,5,1,8,7,2,6,4] => [5,7,3,6,1,2,8,4] => [3,6,1,8,7,2,5,4] => 0001111
[3,2,5,8,7,1,6,4] => [7,3,2,6,5,1,8,4] => [3,2,5,6,1,8,7,4] => 0100111
[3,1,4,8,7,6,2,5] => [3,6,1,4,2,7,8,5] => [4,8,7,6,1,3,2,5] => 0100111
[3,4,8,7,6,5,1,2] => [5,1,3,4,6,7,8,2] => [3,4,8,7,6,5,1,2] => 0001111
[3,2,5,8,7,4,6,1] => [6,3,2,7,5,4,8,1] => [3,2,5,8,7,4,6,1] => 0100111
[2,1,3,5,8,7,4,6] => [2,1,3,7,5,4,8,6] => [2,1,3,5,8,7,4,6] => 1000011
[6,8,1,3,7,5,2,4] => [8,5,1,2,7,6,3,4] => [6,7,5,1,8,2,3,4] => 0001011
[1,3,7,8,2,6,5,4] => [1,8,3,5,6,2,7,4] => [1,3,6,5,2,7,8,4] => 0001101
[2,7,8,1,3,6,5,4] => [8,2,1,5,6,3,7,4] => [2,6,5,1,3,7,8,4] => 0001101
[8,1,2,6,7,3,5,4] => [8,1,7,5,3,2,6,4] => [5,3,7,1,2,6,8,4] => 0001011
[8,1,2,6,7,5,3,4] => [8,1,5,3,7,2,6,4] => [7,5,3,6,8,1,2,4] => 0001011
[8,2,5,7,1,3,6,4] => [7,8,1,6,2,3,5,4] => [6,1,8,2,3,5,7,4] => 0000111
[2,6,8,3,7,1,5,4] => [7,2,8,5,1,6,3,4] => [2,5,1,6,8,3,7,4] => 0001011
[6,8,3,4,1,7,5,2] => [4,5,7,2,8,6,1,3] => [6,8,2,7,5,1,4,3] => 0011011
[6,8,3,7,4,1,5,2] => [4,7,5,8,2,6,1,3] => [6,8,2,5,1,7,4,3] => 0011011
[2,6,8,3,7,5,1,4] => [5,2,7,3,8,6,1,4] => [2,6,8,3,7,5,1,4] => 0001011
[2,8,1,6,7,5,3,4] => [8,2,5,3,7,1,6,4] => [2,7,5,3,6,8,1,4] => 0001011
[8,4,7,2,3,6,1,5] => [6,7,2,8,1,3,4,5] => [8,2,7,1,3,6,4,5] => 0000111
[8,5,7,4,2,6,1,3] => [6,4,1,7,8,2,5,3] => [8,4,1,7,5,6,2,3] => 0010111
[8,2,3,5,7,1,6,4] => [7,8,2,6,3,1,5,4] => [6,2,3,8,1,5,7,4] => 0000111
[8,2,4,7,3,6,1,5] => [6,8,7,2,1,3,4,5] => [7,2,8,1,6,3,4,5] => 0000111
[1,6,8,3,7,2,5,4] => [1,7,8,5,2,6,3,4] => [1,5,2,6,8,3,7,4] => 0001011
[5,8,7,1,3,6,2,4] => [7,6,1,2,5,3,8,4] => [5,6,1,8,7,2,3,4] => 0000111
[1,6,5,8,2,7,4,3] => [1,8,4,7,6,5,2,3] => [1,6,5,7,4,2,8,3] => 0010111
[8,5,6,3,1,7,4,2] => [3,6,4,7,8,5,2,1] => [8,5,7,4,2,6,3,1] => 0110111
[5,6,2,8,1,7,4,3] => [8,6,4,7,5,2,1,3] => [5,7,4,2,6,1,8,3] => 0010111
[5,8,7,3,6,1,2,4] => [6,1,7,2,5,3,8,4] => [5,8,7,1,2,6,3,4] => 0000111
[8,3,5,7,1,6,2,4] => [7,6,8,2,3,1,5,4] => [8,2,6,3,5,7,1,4] => 0000111
[1,6,8,3,7,5,2,4] => [1,5,7,3,8,6,2,4] => [1,6,8,3,7,5,2,4] => 0001011
[8,4,5,7,3,1,6,2] => [3,7,6,8,4,2,5,1] => [8,4,6,2,5,7,3,1] => 0100111
[8,3,4,7,2,6,1,5] => [6,7,8,3,1,2,4,5] => [8,3,7,1,6,2,4,5] => 0000111
[8,7,1,3,4,6,2,5] => [7,6,1,3,2,4,8,5] => [6,1,3,8,7,2,4,5] => 0000111
[8,3,7,2,4,6,1,5] => [6,7,8,2,1,4,3,5] => [8,2,7,1,4,6,3,5] => 0000111
[2,8,4,5,7,1,6,3] => [7,2,6,8,4,1,5,3] => [2,8,4,6,1,5,7,3] => 0000111
[8,7,4,5,2,6,1,3] => [6,5,1,7,4,2,8,3] => [8,7,4,5,1,6,2,3] => 0001111
[8,7,2,3,6,1,4,5] => [6,7,2,1,4,3,8,5] => [8,7,2,4,6,1,3,5] => 0000111
[1,3,2,8,5,4,7,6] => [1,3,2,5,8,7,4,6] => [1,3,2,7,5,4,8,6] => 0101011
[7,2,8,4,3,1,6,5] => [3,4,8,7,6,1,2,5] => [6,1,7,4,3,2,8,5] => 0110111
[5,3,4,1,8,2,7,6] => [4,8,5,3,1,7,2,6] => [5,3,7,1,4,2,8,6] => 0011011
[8,1,5,4,3,2,7,6] => [8,3,4,5,1,7,2,6] => [5,4,3,1,7,2,8,6] => 0111011
[4,5,3,2,8,7,1,6] => [7,3,5,4,2,1,8,6] => [4,5,3,2,8,7,1,6] => 0101011
[6,4,3,2,8,7,5,1] => [5,3,4,7,6,1,8,2] => [6,4,3,1,8,7,5,2] => 0111111
[4,1,6,3,2,7,8,5] => [4,3,6,1,8,2,7,5] => [7,8,3,1,4,2,6,5] => 0110101
[4,1,7,3,2,6,5,8] => [4,3,7,1,6,2,5,8] => [6,3,1,4,2,7,5,8] => 0110110
[6,7,3,2,5,4,1,8] => [4,3,5,7,1,6,2,8] => [6,7,3,1,5,4,2,8] => 0111010
[7,6,3,2,1,5,4,8] => [2,3,6,5,1,7,4,8] => [5,3,2,1,7,6,4,8] => 1101110
[4,7,5,6,2,3,8,1] => [8,6,2,4,7,5,3,1] => [4,7,5,6,2,3,8,1] => 0000111
[4,6,5,7,2,8,1,3] => [8,7,1,4,6,5,2,3] => [4,6,5,7,1,8,2,3] => 0000111
[5,6,4,7,2,8,3,1] => [3,8,7,6,5,4,1,2] => [5,6,4,7,1,8,3,2] => 0100111
[6,5,4,1,7,2,8,3] => [4,5,6,7,8,3,1,2] => [8,3,7,1,6,5,4,2] => 0011111
[2,1,4,6,8,7,3,5] => [2,1,7,4,3,6,8,5] => [2,1,4,6,8,7,3,5] => 1000011
[3,4,6,8,7,1,2,5] => [7,1,3,4,2,6,8,5] => [3,4,6,8,7,1,2,5] => 0000011
[4,3,1,6,8,7,2,5] => [3,4,7,2,1,6,8,5] => [6,8,7,2,4,3,1,5] => 0110011
[5,3,6,8,7,2,4,1] => [4,7,5,2,3,6,8,1] => [5,2,6,8,7,3,4,1] => 0011011
[7,3,5,8,6,2,1,4] => [2,6,8,3,1,7,5,4] => [7,3,5,8,6,2,1,4] => 1000111
[7,2,8,5,6,3,1,4] => [3,6,7,2,8,5,1,4] => [8,5,7,2,6,3,1,4] => 0100111
[6,2,8,5,1,7,3,4] => [5,8,6,1,7,3,2,4] => [7,1,6,3,8,5,2,4] => 0001111
[4,2,1,8,6,7,3,5] => [2,4,7,1,3,8,6,5] => [8,6,7,2,1,4,3,5] => 1010011
[1,3,2,8,6,7,4,5] => [1,3,2,7,4,8,6,5] => [1,3,2,8,6,7,4,5] => 0100011
[2,3,8,6,7,1,4,5] => [7,2,3,1,4,8,6,5] => [2,3,8,6,7,1,4,5] => 0000011
[5,2,8,7,6,4,1,3] => [4,6,2,5,1,7,8,3] => [5,2,8,7,6,4,1,3] => 0011111
[7,2,1,8,6,5,4,3] => [2,7,4,5,6,8,1,3] => [8,6,5,4,2,1,7,3] => 1011111
[7,3,6,1,8,5,4,2] => [6,4,5,8,7,3,1,2] => [7,3,8,5,4,1,6,2] => 0011111
[8,1,5,7,6,2,4,3] => [8,6,4,2,1,7,5,3] => [4,2,7,6,1,5,8,3] => 0010111
[4,5,7,6,8,3,1,2] => [3,1,8,4,5,7,6,2] => [4,5,7,6,8,3,1,2] => 0100011
[7,4,6,5,1,8,3,2] => [5,3,6,8,7,1,2,4] => [7,3,1,8,2,6,5,4] => 0101111
[7,5,6,4,3,1,8,2] => [3,4,6,8,7,5,1,2] => [7,5,8,1,6,4,3,2] => 0110111
[6,5,1,7,4,3,8,2] => [5,6,4,8,7,2,1,3] => [7,4,2,8,1,6,5,3] => 0011111
[4,6,7,5,3,8,1,2] => [8,1,5,4,7,6,3,2] => [4,6,7,5,3,8,1,2] => 0001011
[3,6,7,5,1,4,8,2] => [5,7,3,2,8,6,4,1] => [3,6,8,2,4,7,5,1] => 0001011
[8,1,6,7,5,4,2,3] => [8,4,2,5,7,1,6,3] => [7,5,4,2,6,8,1,3] => 0011011
[8,1,7,6,5,4,3,2] => [8,3,4,5,6,7,1,2] => [7,6,5,4,3,1,8,2] => 0111111
[8,6,4,1,5,2,7,3] => [4,6,5,8,1,7,3,2] => [7,1,5,3,8,6,4,2] => 0011111
[8,6,3,1,7,2,4,5] => [3,6,8,2,4,7,1,5] => [7,2,4,8,6,3,1,5] => 0100111
[5,3,1,7,2,4,6,8] => [3,5,7,1,2,4,6,8] => [7,1,5,3,2,4,6,8] => 0101010
[8,7,1,2,4,5,3,6] => [7,1,5,2,4,3,8,6] => [5,1,2,4,8,7,3,6] => 0001011
[8,5,1,2,6,7,3,4] => [5,1,8,2,7,3,6,4] => [7,1,2,6,8,5,3,4] => 0001011
[8,6,1,2,5,7,3,4] => [6,1,8,2,3,7,5,4] => [7,1,2,5,8,6,3,4] => 0000111
[8,6,1,2,7,4,3,5] => [6,1,4,8,2,7,3,5] => [7,4,1,2,8,6,3,5] => 0010111
[8,7,1,2,5,4,3,6] => [7,1,4,5,2,3,8,6] => [5,4,1,2,8,7,3,6] => 0011011
[5,1,4,2,7,3,6,8] => [5,4,7,1,2,3,6,8] => [7,1,4,2,5,3,6,8] => 0011010
[7,1,5,8,2,6,3,4] => [7,8,6,3,1,2,5,4] => [6,3,8,1,5,7,2,4] => 0000111
[5,7,8,1,2,4,6,3] => [8,1,6,2,5,4,7,3] => [5,6,1,2,4,7,8,3] => 0000101
[1,4,2,3,8,7,5,6] => [1,4,2,3,7,5,8,6] => [1,4,2,3,8,7,5,6] => 0010011
[6,1,2,4,8,7,5,3] => [6,1,5,2,7,4,8,3] => [8,7,5,1,2,4,6,3] => 0001111
[3,1,8,4,6,7,5,2] => [3,5,1,7,8,2,6,4] => [8,1,3,2,6,7,5,4] => 0101011
[7,1,2,4,6,8,5,3] => [7,1,5,2,8,4,6,3] => [8,5,1,2,4,6,7,3] => 0001011
[7,1,2,6,8,5,3,4] => [7,1,5,3,8,2,6,4] => [8,5,3,6,7,1,2,4] => 0001011
[6,1,2,7,8,5,3,4] => [6,1,5,3,8,2,7,4] => [7,8,5,3,6,1,2,4] => 0001101
[5,7,1,3,8,4,6,2] => [7,6,1,8,5,4,3,2] => [5,8,4,6,1,3,7,2] => 0000111
[5,7,1,8,4,2,6,3] => [7,4,8,6,5,3,1,2] => [5,6,3,8,4,1,7,2] => 0010111
[4,7,3,1,5,8,6,2] => [3,7,6,4,2,8,5,1] => [4,8,6,2,5,7,3,1] => 0100111
[8,3,7,1,2,6,4,5] => [7,1,8,6,4,2,3,5] => [6,4,8,1,2,7,3,5] => 0000111
[3,1,2,8,4,7,5,6] => [3,1,2,8,7,5,4,6] => [3,1,2,7,5,8,4,6] => 0100011
[1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => [1,4,2,3,7,5,8,6] => 0010011
[5,8,1,7,2,4,6,3] => [8,7,6,2,5,4,1,3] => [5,6,2,4,7,1,8,3] => 0000111
[3,1,8,6,4,7,5,2] => [3,5,1,7,6,8,2,4] => [8,6,1,3,2,7,5,4] => 0101111
[8,1,2,6,7,4,5,3] => [8,1,5,7,4,2,6,3] => [7,4,5,1,2,6,8,3] => 0001011
[6,1,2,8,7,3,5,4] => [6,1,7,5,3,2,8,4] => [5,3,8,7,1,2,6,4] => 0001111
[1,2,3,5,8,4,7,6] => [1,2,3,8,5,7,4,6] => [1,2,3,5,7,4,8,6] => 0000011
[1,2,3,5,8,6,4,7] => [1,2,3,6,5,8,4,7] => [1,2,3,5,8,6,4,7] => 0000101
[3,1,7,8,4,6,5,2] => [3,5,1,6,8,2,7,4] => [7,8,1,3,2,6,5,4] => 0101101
[3,1,8,7,6,4,5,2] => [3,5,1,6,4,7,8,2] => [8,7,6,4,5,1,3,2] => 0101111
[8,1,2,7,4,6,5,3] => [8,1,5,6,7,3,2,4] => [7,3,6,5,1,2,8,4] => 0001111
[1,2,3,5,8,7,4,6] => [1,2,3,7,5,4,8,6] => [1,2,3,5,8,7,4,6] => 0000011
[1,2,3,6,8,5,4,7] => [1,2,3,5,8,6,4,7] => [1,2,3,6,8,5,4,7] => 0001001
[7,8,5,3,6,1,2,4] => [6,1,5,2,8,3,7,4] => [7,8,5,1,2,6,3,4] => 0001101
[7,8,5,3,1,4,2,6] => [3,5,4,2,8,1,7,6] => [4,2,7,8,5,3,1,6] => 0111001
[7,8,5,3,1,6,4,2] => [3,5,4,8,6,1,7,2] => [6,4,1,7,8,5,3,2] => 0111101
[7,8,5,3,4,1,6,2] => [4,6,5,3,8,1,7,2] => [7,8,5,3,6,1,4,2] => 0011101
[7,8,5,3,1,2,6,4] => [3,1,5,8,6,4,7,2] => [6,4,7,8,5,3,1,2] => 0101101
[7,5,8,3,4,1,6,2] => [4,6,8,3,7,1,5,2] => [7,3,8,5,6,1,4,2] => 0010111
[7,5,6,3,4,1,8,2] => [4,8,6,3,7,5,1,2] => [7,5,6,3,8,1,4,2] => 0010111
[7,5,6,3,1,2,8,4] => [3,1,6,8,7,5,2,4] => [7,5,8,3,1,2,6,4] => 0100111
[7,5,3,6,1,2,8,4] => [6,1,5,7,8,4,2,3] => [8,4,7,5,1,2,6,3] => 0001111
[7,5,3,1,4,2,8,6] => [3,5,4,2,7,8,1,6] => [4,2,8,5,3,1,7,6] => 0111011
[7,5,3,1,6,2,8,4] => [3,5,7,6,8,1,4,2] => [8,1,6,4,7,5,3,2] => 0101111
[7,5,3,1,6,4,8,2] => [3,5,7,8,6,1,2,4] => [6,1,8,3,2,7,5,4] => 0101111
[7,5,3,6,1,4,8,2] => [6,8,5,1,7,3,4,2] => [7,5,1,8,3,4,6,2] => 0001111
[7,5,3,6,4,1,8,2] => [4,6,8,5,7,1,2,3] => [7,5,1,8,2,6,4,3] => 0011111
[7,5,3,6,4,8,1,2] => [8,1,5,7,6,4,3,2] => [6,4,7,5,3,8,1,2] => 0001111
[7,5,3,1,8,2,6,4] => [3,5,7,8,6,4,1,2] => [6,4,8,1,7,5,3,2] => 0101111
[7,5,3,1,8,2,4,6] => [3,5,7,2,8,4,1,6] => [8,2,4,7,5,3,1,6] => 0101011
[7,5,3,1,6,2,4,8] => [3,5,7,2,6,1,4,8] => [6,2,7,5,3,1,4,8] => 0101110
[7,5,3,1,6,4,2,8] => [3,5,4,7,6,1,2,8] => [6,4,1,7,5,3,2,8] => 0111110
[7,5,3,1,8,6,2,4] => [3,5,7,2,6,8,1,4] => [8,6,2,7,5,3,1,4] => 0101111
[7,5,3,8,6,1,4,2] => [6,4,5,3,8,7,1,2] => [7,5,3,4,1,8,6,2] => 0011111
[7,5,3,8,6,4,1,2] => [4,1,6,5,8,7,3,2] => [7,5,3,8,6,4,1,2] => 0011111
[7,5,8,3,6,1,4,2] => [6,4,8,1,7,3,5,2] => [7,1,4,3,8,5,6,2] => 0010111
[7,5,8,3,1,6,2,4] => [3,8,6,1,7,2,5,4] => [7,1,6,5,8,3,2,4] => 0100111
[7,5,3,8,4,1,2,6] => [4,1,8,5,7,3,2,6] => [7,5,3,8,4,1,2,6] => 0011011
[7,5,8,6,3,1,2,4] => [3,1,6,2,8,7,4,5] => [7,3,1,2,4,8,6,5] => 0100111
[7,5,3,4,1,6,2,8] => [4,6,5,3,7,1,2,8] => [7,5,3,6,1,4,2,8] => 0011110
[7,5,6,3,1,8,2,4] => [3,6,8,1,7,5,2,4] => [7,5,8,1,6,3,2,4] => 0100111
[7,5,6,3,1,8,4,2] => [3,6,4,8,7,5,2,1] => [7,5,8,4,2,6,3,1] => 0110111
[7,5,6,3,8,1,4,2] => [8,4,6,1,7,5,3,2] => [7,5,6,1,4,3,8,2] => 0010111
[7,5,6,3,8,4,1,2] => [4,1,8,6,7,5,2,3] => [7,5,6,1,2,8,4,3] => 0010111
[7,5,3,6,8,4,1,2] => [4,1,8,5,7,2,6,3] => [7,5,1,2,6,8,4,3] => 0011011
[7,5,3,6,1,8,4,2] => [6,4,8,5,7,2,1,3] => [7,5,2,8,4,1,6,3] => 0011111
[7,5,3,1,2,8,6,4] => [3,1,5,7,6,8,4,2] => [8,6,4,7,5,3,1,2] => 0101111
[7,5,3,4,1,8,6,2] => [4,6,5,2,8,7,1,3] => [7,5,2,8,6,1,4,3] => 0011111
[7,5,3,4,8,6,1,2] => [6,1,5,2,8,7,4,3] => [7,5,1,2,4,8,6,3] => 0001111
[7,5,3,1,2,6,8,4] => [3,1,5,7,8,4,6,2] => [8,4,6,7,5,3,1,2] => 0101011
[7,5,3,1,2,4,8,6] => [3,1,5,2,7,8,4,6] => [8,5,3,1,2,4,7,6] => 0101011
[3,6,2,5,4,1,8,7] => [4,5,3,6,1,2,8,7] => [3,6,1,5,4,2,8,7] => 0011101
[5,4,7,3,2,8,6,1] => [6,3,8,5,4,7,1,2] => [5,4,7,3,1,8,6,2] => 0101111
[5,4,8,3,2,7,6,1] => [6,3,7,5,4,8,1,2] => [5,4,8,3,1,7,6,2] => 0101111
[6,4,5,3,2,1,8,7] => [2,3,5,6,4,1,8,7] => [6,4,5,3,2,1,8,7] => 1101101
[4,5,8,3,2,7,6,1] => [6,3,7,4,5,8,1,2] => [4,5,8,3,1,7,6,2] => 0100111
[5,8,4,3,2,7,6,1] => [6,3,4,7,5,8,1,2] => [5,8,4,3,1,7,6,2] => 0110111
[5,3,2,8,4,7,6,1] => [6,3,5,7,2,8,1,4] => [8,3,2,5,1,7,6,4] => 0101111
[2,1,5,8,4,7,6,3] => [2,1,6,7,5,8,3,4] => [2,1,5,8,3,7,6,4] => 1000111
[5,3,2,7,4,8,6,1] => [6,3,5,8,2,7,1,4] => [7,3,2,5,1,8,6,4] => 0101111
[4,7,5,3,2,8,6,1] => [6,3,5,4,8,7,1,2] => [4,7,5,3,1,8,6,2] => 0101111
[4,6,8,3,7,5,2,1] => [2,5,7,4,8,6,1,3] => [4,6,8,2,1,7,5,3] => 1001011
[7,3,2,6,8,5,4,1] => [4,3,5,8,7,2,6,1] => [7,3,2,6,8,5,4,1] => 0111011
[2,1,8,6,7,5,4,3] => [2,1,4,5,7,8,6,3] => [2,1,8,6,7,5,4,3] => 1011011
[8,3,2,6,7,5,4,1] => [4,3,5,7,8,2,6,1] => [8,3,2,6,7,5,4,1] => 0111011
[8,6,4,3,7,5,2,1] => [2,5,4,7,6,8,1,3] => [8,6,4,2,1,7,5,3] => 1011111
[8,5,7,6,4,3,2,1] => [2,3,4,6,7,8,1,5] => [8,4,3,2,1,7,6,5] => 1110111
[8,4,7,3,6,5,2,1] => [2,5,6,7,8,4,1,3] => [8,4,7,2,1,6,5,3] => 1001111
[7,4,6,3,8,5,2,1] => [2,5,8,6,7,1,4,3] => [7,2,1,6,4,8,5,3] => 1001111
[3,7,2,6,8,5,4,1] => [4,5,3,8,7,2,6,1] => [3,7,2,6,8,5,4,1] => 0011011
[3,8,2,6,7,5,4,1] => [4,5,3,7,8,2,6,1] => [3,8,2,6,7,5,4,1] => 0011011
[3,7,2,8,6,5,4,1] => [4,5,3,6,8,7,1,2] => [3,7,1,8,6,5,4,2] => 0011111
[3,6,2,8,7,5,4,1] => [4,5,3,7,6,2,8,1] => [3,6,2,8,7,5,4,1] => 0011111
[6,4,8,3,7,5,2,1] => [2,5,7,8,6,1,4,3] => [6,2,1,8,4,7,5,3] => 1001111
[7,5,4,3,2,8,6,1] => [6,3,4,5,8,7,1,2] => [7,5,4,3,1,8,6,2] => 0111111
[7,3,2,5,4,8,6,1] => [6,3,8,5,1,7,4,2] => [5,3,1,7,4,8,6,2] => 0101111
[2,1,7,5,4,8,6,3] => [2,1,6,5,8,7,3,4] => [2,1,7,5,3,8,6,4] => 1001111
[7,3,2,8,6,5,4,1] => [4,3,5,6,8,7,1,2] => [7,3,1,8,6,5,4,2] => 0111111
[7,8,4,3,6,5,2,1] => [2,5,4,6,8,1,7,3] => [7,8,4,2,1,6,5,3] => 1011101
[6,8,5,7,4,3,2,1] => [2,3,4,7,8,6,5,1] => [6,8,5,7,4,3,2,1] => 1110011
[6,8,4,3,7,5,2,1] => [2,5,4,7,8,6,1,3] => [6,8,4,2,1,7,5,3] => 1011011
[6,7,4,3,8,5,2,1] => [2,5,4,8,7,6,1,3] => [6,7,4,2,1,8,5,3] => 1011011
[2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => 01000000
[2,3,4,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => 00100000
[2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => 00010000
[2,3,4,5,6,1,7,8,9] => [6,2,3,4,5,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => 00001000
[2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => 010000000
[2,4,3,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => 01100000
[2,3,4,5,6,7,9,8,1] => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,7,9,8,1] => 00000011
[4,6,8,3,5,7,1,2] => [7,1,8,4,3,6,5,2] => [4,6,8,3,5,7,1,2] => 0000011
[6,8,1,2,4,5,7,3] => [8,1,7,2,4,6,5,3] => [6,7,1,2,4,5,8,3] => 0000011
[4,2,5,7,3,6,1,8] => [6,4,7,2,5,3,1,8] => [5,7,2,4,3,6,1,8] => 0010110
[2,1,6,8,4,7,3,5] => [2,1,7,8,3,6,4,5] => [2,1,6,8,3,7,4,5] => 1000011
[1,2,5,8,3,6,7,4] => [1,2,8,7,5,3,6,4] => [1,2,5,7,3,6,8,4] => 0000011
[5,3,6,8,4,7,1,2] => [7,1,5,8,3,6,4,2] => [6,8,3,5,4,7,1,2] => 0001011
[5,4,8,3,2,1,6,7] => [2,3,8,5,4,1,6,7] => [5,4,8,3,2,1,6,7] => 1101001
[5,4,3,7,2,6,1,8] => [6,7,4,5,3,2,1,8] => [5,4,3,7,2,6,1,8] => 0011110
[4,1,7,3,2,5,8,6] => [4,3,7,1,2,8,5,6] => [8,3,1,4,2,5,7,6] => 0110011
[7,5,1,4,8,2,6,3] => [5,7,8,2,6,3,4,1] => [6,2,8,3,4,7,5,1] => 0001111
[5,8,4,7,6,3,1,2] => [3,1,6,7,5,8,2,4] => [5,8,3,1,2,7,6,4] => 0100111
[4,8,3,1,7,2,6,5] => [3,8,7,4,6,1,2,5] => [4,6,1,7,3,2,8,5] => 0100111
[1,8,4,3,5,2,7,6] => [1,5,4,8,3,7,2,6] => [1,7,4,3,5,2,8,6] => 0011011
[4,6,3,1,5,2,8,7] => [3,6,5,4,2,1,8,7] => [4,5,2,6,3,1,8,7] => 0101101
[6,4,8,7,5,3,1,2] => [3,1,5,7,6,2,8,4] => [6,3,1,2,8,7,5,4] => 0101111
[1,7,6,2,8,4,5,3] => [1,6,5,7,2,8,4,3] => [1,8,2,5,4,7,6,3] => 0001111
[1,5,3,2,7,4,8,6] => [1,3,5,7,2,8,4,6] => [1,8,3,2,5,4,7,6] => 0101011
[6,3,2,1,8,5,4,7] => [2,3,6,5,8,1,4,7] => [8,5,3,2,1,6,4,7] => 1101101
[1,6,7,2,8,4,5,3] => [1,7,5,8,4,6,2,3] => [1,6,8,4,5,2,7,3] => 0001011
[2,4,1,7,8,6,3,5] => [4,2,6,1,3,8,7,5] => [2,7,8,6,1,4,3,5] => 0010101
[4,2,1,7,3,8,5,6] => [2,4,7,1,8,5,3,6] => [8,5,7,2,1,4,3,6] => 1010011
[6,2,8,4,3,1,5,7] => [3,4,8,6,1,2,5,7] => [6,1,8,4,3,2,5,7] => 0110101
[7,8,3,2,5,6,1,4] => [6,3,8,1,2,5,7,4] => [7,8,3,1,5,6,2,4] => 0100101
[8,7,6,1,2,4,5,3] => [6,1,5,2,4,7,8,3] => [5,1,2,4,8,7,6,3] => 0001111
[8,3,7,6,2,1,4,5] => [2,6,7,3,4,8,1,5] => [8,3,4,7,6,2,1,5] => 1000111
[3,2,8,7,5,1,4,6] => [5,3,2,1,7,4,8,6] => [3,2,8,7,5,1,4,6] => 0101011
[8,3,6,5,2,1,4,7] => [2,5,6,3,8,1,4,7] => [8,3,6,5,2,1,4,7] => 1001101
[8,2,4,1,6,5,3,7] => [4,8,5,2,6,1,3,7] => [6,5,2,8,1,4,3,7] => 0011101
[8,7,1,5,6,2,4,3] => [7,6,4,2,1,5,8,3] => [4,2,6,1,5,8,7,3] => 0010111
[6,8,3,7,5,4,1,2] => [4,1,5,7,8,6,3,2] => [6,8,3,7,5,4,1,2] => 0011011
[2,8,1,7,5,4,3,6] => [8,2,4,5,7,3,1,6] => [2,7,5,4,3,8,1,6] => 0011011
[2,1,8,6,5,4,3,7] => [2,1,4,5,6,8,3,7] => [2,1,8,6,5,4,3,7] => 1011101
[1,7,2,8,3,6,5,4] => [1,7,8,5,6,3,2,4] => [1,6,5,3,8,2,7,4] => 0001111
[1,7,8,6,5,2,4,3] => [1,5,4,2,6,8,7,3] => [1,4,2,7,8,6,5,3] => 0011101
[7,3,8,6,5,4,1,2] => [4,1,5,6,8,7,2,3] => [7,1,2,8,6,5,4,3] => 0011111
[8,1,7,3,2,6,5,4] => [8,3,7,5,6,2,1,4] => [6,5,3,2,7,1,8,4] => 0101111
[8,6,3,2,1,7,4,5] => [2,3,6,8,1,7,4,5] => [7,3,2,1,8,6,4,5] => 1100111
[8,6,5,4,1,7,2,3] => [4,5,1,6,8,7,2,3] => [7,1,8,6,5,4,2,3] => 0011111
[8,6,5,1,7,3,2,4] => [5,3,6,2,8,7,1,4] => [7,3,2,8,6,5,1,4] => 0101111
[8,6,1,7,4,3,2,5] => [6,3,4,8,1,7,2,5] => [7,4,3,1,8,6,2,5] => 0110111
[4,6,3,2,7,5,1,8] => [5,3,7,4,6,1,2,8] => [4,6,3,1,7,5,2,8] => 0101110
[5,7,4,1,8,2,6,3] => [4,7,8,6,5,3,2,1] => [5,6,3,8,2,7,4,1] => 0010111
[1,8,7,2,5,4,6,3] => [1,7,6,5,2,4,8,3] => [1,5,2,6,4,8,7,3] => 0001111
[1,3,5,6,8,4,2,7] => [1,4,3,8,5,6,2,7] => [1,3,5,6,8,4,2,7] => 0010001
[3,5,4,8,7,1,2,6] => [7,1,3,5,4,2,8,6] => [3,5,4,8,7,1,2,6] => 0001011
[1,6,2,4,8,7,5,3] => [1,6,5,2,7,4,8,3] => [1,8,7,5,2,4,6,3] => 0001111
[7,3,6,8,5,1,2,4] => [5,1,8,3,7,2,6,4] => [7,3,6,8,5,1,2,4] => 0001011
[3,6,5,2,8,1,4,7] => [8,5,3,1,6,2,4,7] => [3,6,5,1,8,2,4,7] => 0001101
[3,6,5,7,2,4,1,8] => [4,7,3,2,6,5,1,8] => [3,6,5,7,2,4,1,8] => 0010110
[4,2,6,3,8,1,5,7] => [8,4,6,2,1,3,5,7] => [6,2,4,1,8,3,5,7] => 0010101
[7,3,8,2,1,6,4,5] => [2,8,7,6,4,1,3,5] => [6,4,7,2,1,8,3,5] => 1000111
[8,7,6,4,3,1,5,2] => [3,4,6,5,1,7,8,2] => [5,1,8,7,6,4,3,2] => 0111111
[3,6,8,2,1,5,4,7] => [2,8,3,5,1,6,4,7] => [3,5,2,1,6,8,4,7] => 1001001
[2,4,8,1,6,5,3,7] => [8,2,5,4,6,1,3,7] => [2,4,6,5,1,8,3,7] => 0001101
[4,2,8,1,5,7,3,6] => [8,4,7,2,1,3,5,6] => [7,2,4,1,8,3,5,6] => 0010011
[8,5,7,6,1,4,2,3] => [6,4,2,1,7,8,3,5] => [4,2,8,1,3,7,6,5] => 0010111
[8,6,1,7,3,5,4,2] => [6,4,5,8,1,7,2,3] => [7,1,5,4,2,8,6,3] => 0011111
[2,8,5,4,7,1,3,6] => [7,2,1,5,8,3,4,6] => [2,8,5,1,3,7,4,6] => 0001011
[2,1,5,8,6,4,3,7] => [2,1,4,6,5,8,3,7] => [2,1,5,8,6,4,3,7] => 1010101
[1,2,5,7,8,4,3,6] => [1,2,4,8,5,3,7,6] => [1,2,5,7,8,4,3,6] => 0010001
[1,2,7,4,8,6,3,5] => [1,2,6,8,4,7,3,5] => [1,2,7,4,8,6,3,5] => 0000111
[1,2,7,8,3,6,5,4] => [1,2,8,5,6,3,7,4] => [1,2,6,5,3,7,8,4] => 0001101
[1,8,7,4,6,3,2,5] => [1,3,6,7,2,4,8,5] => [1,8,7,3,2,6,4,5] => 0100111
[8,6,2,4,7,3,5,1] => [5,6,8,3,2,7,4,1] => [7,3,8,6,2,4,5,1] => 0001111
[7,1,6,4,5,2,3,8] => [7,5,2,6,4,1,3,8] => [6,4,5,2,7,1,3,8] => 0001110
[7,1,4,6,5,8,3,2] => [7,3,8,1,6,4,5,2] => [6,3,1,4,8,5,7,2] => 0100111
[7,1,3,4,2,6,8,5] => [7,4,1,3,8,2,6,5] => [4,1,3,8,2,6,7,5] => 0010011
[7,1,5,4,6,2,8,3] => [7,6,8,5,1,4,2,3] => [5,1,8,4,6,2,7,3] => 0001111
[3,6,2,4,7,8,1,5] => [8,6,3,2,1,4,7,5] => [3,6,2,7,8,1,4,5] => 0000101
[6,5,7,8,2,4,1,3] => [4,8,1,2,6,5,7,3] => [6,5,7,8,1,4,2,3] => 0010101
[6,3,4,2,8,5,1,7] => [5,4,8,1,6,2,3,7] => [6,1,4,2,8,5,3,7] => 0011101
[3,4,7,2,5,8,1,6] => [8,7,3,4,2,1,5,6] => [3,4,7,2,8,1,5,6] => 0000011
[3,6,4,1,7,2,5,8] => [4,6,3,7,1,2,5,8] => [3,7,1,6,4,2,5,8] => 0010110
[2,8,3,1,5,6,4,7] => [3,2,8,6,1,5,4,7] => [2,6,3,1,5,8,4,7] => 0100101
[2,8,6,1,5,3,7,4] => [6,2,5,8,4,7,3,1] => [2,7,4,5,3,8,6,1] => 0001111
[7,6,5,1,3,8,2,4] => [5,6,1,2,7,8,3,4] => [8,1,7,6,5,2,3,4] => 0001111
[7,2,6,4,1,3,8,5] => [4,6,2,7,8,1,3,5] => [8,2,7,4,1,3,6,5] => 0010111
[6,7,5,2,1,3,8,4] => [2,5,1,7,8,6,4,3] => [6,8,4,7,5,2,1,3] => 1001011
[2,6,4,3,1,5,7,8] => [3,2,4,6,1,5,7,8] => [2,6,4,3,1,5,7,8] => 0110100
[7,3,8,4,1,5,2,6] => [4,8,5,7,2,3,1,6] => [7,2,5,3,8,4,1,6] => 0011011
[4,2,8,3,6,1,5,7] => [6,4,8,2,1,3,5,7] => [8,2,4,1,6,3,5,7] => 0010101
[6,8,5,7,2,1,3,4] => [2,7,1,3,8,6,5,4] => [6,8,5,7,2,1,3,4] => 1000011
[4,8,5,2,7,1,3,6] => [7,5,1,4,8,3,2,6] => [4,8,5,1,3,7,2,6] => 0001011
[6,8,5,3,1,4,2,7] => [3,5,4,2,8,6,1,7] => [4,2,6,8,5,3,1,7] => 0111001
[3,6,5,4,2,8,1,7] => [8,4,3,5,6,2,1,7] => [3,6,5,4,2,8,1,7] => 0011101
[1,6,4,8,2,5,3,7] => [1,8,5,6,2,4,3,7] => [1,6,2,5,4,8,3,7] => 0001101
[1,6,5,8,2,4,3,7] => [1,8,4,2,6,5,3,7] => [1,4,2,6,5,8,3,7] => 0010101
[1,6,2,4,3,7,8,5] => [1,6,4,2,8,3,7,5] => [1,4,2,7,8,3,6,5] => 0010101
[1,5,6,2,4,7,8,3] => [1,6,8,2,5,4,7,3] => [1,5,7,8,2,4,6,3] => 0000101
[1,5,8,2,4,7,3,6] => [1,8,7,2,5,3,4,6] => [1,5,7,2,8,3,4,6] => 0000011
[1,5,7,2,4,8,3,6] => [1,7,8,2,5,3,4,6] => [1,5,8,2,7,3,4,6] => 0000011
[1,6,5,7,2,4,3,8] => [1,7,4,2,6,5,3,8] => [1,4,2,6,5,7,3,8] => 0010110
[1,6,7,2,4,3,8,5] => [1,7,4,2,8,6,3,5] => [1,4,2,6,8,3,7,5] => 0010011
[1,5,8,2,4,6,7,3] => [1,8,7,2,5,4,6,3] => [1,5,7,2,4,6,8,3] => 0000011
[1,5,7,8,3,2,4,6] => [1,3,8,2,5,4,7,6] => [1,5,7,8,3,2,4,6] => 0100001
[1,5,8,3,2,4,6,7] => [1,3,8,2,5,4,6,7] => [1,5,8,3,2,4,6,7] => 0100001
[1,7,6,2,8,3,4,5] => [1,6,7,2,4,8,3,5] => [1,8,2,4,7,6,3,5] => 0000111
[1,6,2,4,3,8,7,5] => [1,6,4,2,7,3,8,5] => [1,4,2,8,7,3,6,5] => 0010111
[1,5,8,7,3,2,4,6] => [1,3,7,2,5,4,8,6] => [1,5,8,7,3,2,4,6] => 0100011
[1,4,2,3,5,8,7,6] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => 0010011
[1,5,2,3,4,8,7,6] => [1,5,2,3,4,7,8,6] => [1,5,2,3,4,8,7,6] => 0001011
[1,7,6,5,2,8,4,3] => [1,5,4,6,7,8,2,3] => [1,8,4,2,7,6,5,3] => 0011111
[1,6,7,5,2,3,8,4] => [1,5,2,7,8,6,4,3] => [1,6,8,4,7,5,2,3] => 0001011
[1,5,8,3,2,4,7,6] => [1,3,8,2,5,7,4,6] => [1,5,7,3,2,4,8,6] => 0100011
[1,6,5,2,3,7,8,4] => [1,5,2,6,8,4,7,3] => [1,7,8,4,6,5,2,3] => 0001101
[1,6,8,4,2,3,7,5] => [1,4,2,8,7,6,3,5] => [1,6,7,4,2,3,8,5] => 0010011
[1,7,4,6,2,8,3,5] => [1,6,8,7,3,4,2,5] => [1,7,3,8,4,6,2,5] => 0000111
[1,6,4,2,3,7,8,5] => [1,4,2,6,8,3,7,5] => [1,7,8,4,2,3,6,5] => 0010101
[1,5,7,3,2,4,8,6] => [1,3,7,2,5,8,4,6] => [1,5,8,3,2,4,7,6] => 0100011
[1,7,4,2,8,5,3,6] => [1,4,7,5,8,2,3,6] => [1,8,5,2,7,4,3,6] => 0011011
[1,6,7,4,2,3,8,5] => [1,4,2,7,8,6,3,5] => [1,6,8,4,2,3,7,5] => 0010011
[1,6,4,2,3,8,5,7] => [1,4,2,6,8,3,5,7] => [1,8,4,2,3,6,5,7] => 0010101
[7,3,5,6,1,4,8,2] => [6,8,7,1,3,5,4,2] => [7,1,5,8,3,4,6,2] => 0000111
[3,7,5,6,1,4,8,2] => [6,8,3,1,7,5,4,2] => [3,7,5,8,1,4,6,2] => 0000111
[8,2,4,1,6,7,5,3] => [4,8,5,2,7,1,6,3] => [7,5,2,6,8,1,4,3] => 0011011
[3,6,1,4,2,8,5,7] => [6,4,3,1,8,2,5,7] => [3,4,1,8,2,6,5,7] => 0010101
[1,6,7,4,3,5,8,2] => [1,8,4,7,3,6,5,2] => [1,6,7,4,3,5,8,2] => 0010011
[6,7,1,4,3,5,8,2] => [7,8,4,1,3,6,5,2] => [4,1,6,8,3,5,7,2] => 0010011
[7,6,1,4,3,5,8,2] => [6,7,4,2,3,8,5,1] => [4,2,8,3,5,7,6,1] => 0010111
[4,7,1,6,3,5,8,2] => [7,8,6,4,3,1,5,2] => [4,6,3,8,1,5,7,2] => 0000111
[3,1,4,7,6,5,8,2] => [3,8,1,4,6,7,5,2] => [4,7,6,5,8,1,3,2] => 0100111
[6,1,7,4,3,5,8,2] => [6,8,4,7,3,1,5,2] => [7,4,3,8,1,5,6,2] => 0010111
[1,7,6,4,3,5,8,2] => [1,8,4,6,3,7,5,2] => [1,7,6,4,3,5,8,2] => 0010111
[8,1,6,4,2,7,5,3] => [8,4,6,5,7,1,3,2] => [7,5,1,6,4,3,8,2] => 0011111
[8,4,1,3,7,2,5,6] => [4,8,2,7,1,5,3,6] => [7,2,5,8,4,1,3,6] => 0010011
[4,7,1,3,8,2,5,6] => [7,8,1,4,2,5,3,6] => [4,8,1,5,7,2,3,6] => 0000011
[1,3,6,4,2,8,5,7] => [1,4,3,6,8,2,5,7] => [1,3,8,4,2,6,5,7] => 0010101
[4,7,3,1,2,8,5,6] => [3,1,7,4,8,5,2,6] => [4,8,5,7,3,1,2,6] => 0100011
[6,8,1,4,2,7,5,3] => [8,4,5,1,7,6,2,3] => [6,7,5,1,4,2,8,3] => 0011011
[4,8,1,3,7,2,5,6] => [8,7,1,4,2,5,3,6] => [4,7,1,5,8,2,3,6] => 0000011
[1,8,4,3,7,2,5,6] => [1,7,4,8,2,5,3,6] => [1,8,4,2,5,7,3,6] => 0010011
[3,7,8,4,6,2,1,5] => [2,6,3,8,1,4,7,5] => [3,7,8,2,1,6,4,5] => 1000101
[3,7,4,6,8,2,1,5] => [2,8,3,7,1,4,6,5] => [3,7,2,1,6,8,4,5] => 1000011
[2,4,3,7,8,6,1,5] => [6,2,4,3,1,8,7,5] => [2,4,3,7,8,6,1,5] => 0010101
[1,4,7,3,8,2,5,6] => [1,8,7,4,2,5,3,6] => [1,4,7,2,5,8,3,6] => 0000011
[5,7,6,8,3,2,1,4] => [2,3,8,1,5,7,6,4] => [5,7,6,8,3,2,1,4] => 1100011
[2,5,3,4,8,6,1,7] => [6,2,5,3,4,8,1,7] => [2,5,3,4,8,6,1,7] => 0001101
[6,1,4,3,8,2,5,7] => [6,8,4,1,2,3,5,7] => [4,1,8,2,6,3,5,7] => 0010101
[8,1,4,3,7,2,5,6] => [8,7,4,1,2,5,3,6] => [4,1,7,2,5,8,3,6] => 0010011
[8,2,3,4,7,6,1,5] => [6,7,1,3,2,8,4,5] => [8,1,3,7,6,2,4,5] => 0000111
[4,2,3,7,8,6,1,5] => [6,4,2,3,1,8,7,5] => [4,2,3,7,8,6,1,5] => 0010101
[5,2,3,4,8,6,1,7] => [6,5,2,3,4,8,1,7] => [5,2,3,4,8,6,1,7] => 0001101
[5,7,2,6,3,8,1,4] => [8,7,6,1,5,2,3,4] => [5,6,1,7,2,8,3,4] => 0000111
[5,7,2,6,8,4,1,3] => [4,8,2,7,5,1,6,3] => [5,7,2,6,8,4,1,3] => 0010011
[7,2,5,6,8,4,1,3] => [4,8,2,7,1,5,6,3] => [7,2,5,6,8,4,1,3] => 0010011
[4,2,3,8,5,6,1,7] => [6,4,2,3,8,5,1,7] => [4,2,3,8,5,6,1,7] => 0010101
[5,2,3,8,7,6,1,4] => [6,5,2,1,3,7,8,4] => [5,2,8,7,6,1,3,4] => 0001111
[8,2,3,7,5,6,1,4] => [6,8,2,1,7,5,3,4] => [7,5,8,2,6,1,3,4] => 0000111
[6,1,8,3,7,2,5,4] => [6,7,8,5,2,1,3,4] => [5,2,8,1,7,3,6,4] => 0001111
[3,7,4,8,5,2,1,6] => [2,5,3,8,7,4,1,6] => [3,7,4,8,5,2,1,6] => 1001011
[2,4,3,8,5,6,1,7] => [6,2,4,3,8,5,1,7] => [2,4,3,8,5,6,1,7] => 0010101
[6,5,8,7,3,2,1,4] => [2,3,7,1,6,5,8,4] => [6,5,8,7,3,2,1,4] => 1100111
[8,5,7,6,3,2,1,4] => [2,3,6,1,7,8,4,5] => [8,3,2,1,4,7,6,5] => 1100111
[2,5,3,8,7,6,1,4] => [6,2,5,1,3,7,8,4] => [2,5,1,8,7,6,3,4] => 0001111
[3,7,5,8,6,2,1,4] => [2,6,3,1,8,7,4,5] => [3,7,2,1,4,8,6,5] => 1000111
[6,8,7,5,3,2,1,4] => [2,3,5,1,7,6,8,4] => [6,8,7,5,3,2,1,4] => 1101011
[3,7,6,8,4,5,1,2] => [5,1,3,8,4,7,6,2] => [3,7,6,8,4,5,1,2] => 0001011
[1,5,4,7,6,8,2,3] => [1,8,2,5,4,7,6,3] => [1,5,4,7,6,8,2,3] => 0001011
[1,7,4,6,5,8,2,3] => [1,8,2,7,6,4,5,3] => [1,6,4,7,5,8,2,3] => 0000111
[3,7,4,6,5,8,1,2] => [8,1,3,7,6,4,5,2] => [3,6,4,7,5,8,1,2] => 0000111
[3,8,4,6,5,7,1,2] => [7,1,3,8,6,4,5,2] => [3,6,4,8,5,7,1,2] => 0000111
[3,6,4,7,5,8,1,2] => [8,1,3,6,7,4,5,2] => [3,7,4,6,5,8,1,2] => 0000111
[1,6,2,7,5,8,3,4] => [1,6,8,3,7,2,5,4] => [1,7,3,8,5,6,2,4] => 0000111
[1,8,4,6,5,7,2,3] => [1,7,2,8,6,4,5,3] => [1,6,4,8,5,7,2,3] => 0000111
[7,8,1,5,2,4,3,6] => [8,5,4,2,1,3,7,6] => [4,2,5,1,7,8,3,6] => 0011001
[1,8,2,6,5,7,3,4] => [1,8,7,3,6,2,5,4] => [1,6,3,7,5,8,2,4] => 0000111
[1,7,2,8,5,6,3,4] => [1,7,6,3,8,5,2,4] => [1,8,5,6,3,7,2,4] => 0000111
[1,7,2,6,5,8,3,4] => [1,7,8,3,6,2,5,4] => [1,6,3,8,5,7,2,4] => 0000111
[7,8,5,6,1,3,2,4] => [6,3,1,2,8,5,7,4] => [3,1,7,8,5,6,2,4] => 0100101
[5,8,6,7,1,3,2,4] => [7,3,1,2,5,8,6,4] => [3,1,5,8,6,7,2,4] => 0100011
[1,7,6,8,2,4,3,5] => [1,8,4,2,3,7,6,5] => [1,4,2,7,6,8,3,5] => 0010011
[7,8,1,6,2,4,3,5] => [8,6,4,2,3,1,7,5] => [4,2,6,3,7,8,1,5] => 0010101
[7,8,1,4,2,6,3,5] => [8,4,6,1,3,2,7,5] => [6,1,4,3,7,8,2,5] => 0010101
[7,8,2,1,4,3,6,5] => [2,8,4,1,6,3,7,5] => [4,2,1,6,3,7,8,5] => 1010101
[7,8,1,2,4,3,5,6] => [8,1,4,2,3,5,7,6] => [4,1,2,7,8,3,5,6] => 0010001
[4,3,6,5,8,7,1,2] => [7,1,4,3,6,5,8,2] => [4,3,6,5,8,7,1,2] => 0010111
[3,4,5,6,7,1,8,9,2] => [7,9,3,4,5,6,1,8,2] => [3,4,5,6,8,9,1,7,2] => 00000101
[3,4,5,6,7,8,1,9,2] => [8,9,3,4,5,6,7,1,2] => [3,4,5,6,7,9,1,8,2] => 00000011
[3,4,5,6,7,8,1,9,10,2] => [8,10,3,4,5,6,7,1,9,2] => [3,4,5,6,7,9,10,1,8,2] => 000000101
[3,4,5,6,7,8,9,1,10,2] => [9,10,3,4,5,6,7,8,1,2] => [3,4,5,6,7,8,10,1,9,2] => 000000011
[1,6,2,3,8,7,4,5] => [1,6,2,7,4,3,8,5] => [1,8,7,4,6,2,3,5] => 0000111
[1,4,7,6,2,5,8,3] => [1,6,7,4,3,8,5,2] => [1,4,8,3,5,7,6,2] => 0000111
[1,3,7,5,2,6,8,4] => [1,5,3,7,8,4,6,2] => [1,3,8,4,6,7,5,2] => 0001011
[1,2,6,4,3,7,8,5] => [1,2,4,6,8,3,7,5] => [1,2,7,8,4,3,6,5] => 0010101
[1,4,7,3,2,5,8,6] => [1,3,7,4,2,8,5,6] => [1,4,8,3,2,5,7,6] => 0100011
[1,4,3,2,5,8,6,7] => [1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => 0110001
[1,5,3,2,4,8,6,7] => [1,3,5,2,4,8,6,7] => [1,5,3,2,4,8,6,7] => 0101001
[1,7,5,3,2,8,6,4] => [1,3,5,7,6,8,4,2] => [1,8,6,4,7,5,3,2] => 0101111
[1,5,3,2,4,8,7,6] => [1,3,5,2,4,7,8,6] => [1,5,3,2,4,8,7,6] => 0101011
[7,6,5,4,3,1,8,2] => [3,4,5,6,7,8,1,2] => [8,1,7,6,5,4,3,2] => 0111111
[6,8,5,4,3,2,1,7] => [2,3,4,5,8,6,1,7] => [6,8,5,4,3,2,1,7] => 1111001
[8,7,6,5,4,3,1,9,2] => [3,4,5,6,7,8,9,2,1] => [9,2,8,7,6,5,4,3,1] => 01111111
[9,8,7,6,5,4,3,1,10,2] => [3,4,5,6,7,8,9,10,1,2] => [10,1,9,8,7,6,5,4,3,2] => 011111111
[7,6,1,4,3,8,5,2] => [6,5,4,2,7,8,3,1] => [4,2,8,5,3,7,6,1] => 0011111
[6,8,5,1,3,2,7,4] => [5,3,1,8,7,6,4,2] => [3,1,6,7,4,8,5,2] => 0101011
[7,6,5,1,3,8,4,2] => [5,4,1,6,7,8,3,2] => [8,4,1,3,7,6,5,2] => 0011111
[1,6,3,4,8,7,5,2] => [1,5,7,2,6,4,8,3] => [1,6,2,4,8,7,5,3] => 0001111
[6,8,5,4,1,2,7,3] => [4,1,5,8,7,6,2,3] => [6,7,1,2,8,5,4,3] => 0011011
[6,8,2,4,3,7,1,5] => [7,8,4,2,1,6,3,5] => [4,2,6,8,1,7,3,5] => 0010011
[1,8,3,4,7,2,6,5] => [1,7,8,3,6,2,4,5] => [1,6,3,8,2,4,7,5] => 0000111
[7,5,8,4,3,2,1,6] => [2,3,4,8,7,1,5,6] => [7,4,3,2,1,8,5,6] => 1110011
[5,1,8,6,7,4,3,2] => [5,3,4,7,1,8,6,2] => [8,6,7,4,3,1,5,2] => 0111011
[8,4,7,5,2,6,1,3] => [6,5,1,7,8,4,2,3] => [8,4,7,5,1,6,2,3] => 0001111
[6,4,5,8,1,2,7,3] => [8,1,7,6,4,5,2,3] => [6,4,5,7,1,2,8,3] => 0000111
[2,7,5,1,8,4,3,6] => [5,2,4,7,8,1,3,6] => [2,8,4,1,7,5,3,6] => 0011011
[2,8,6,7,4,3,5,1] => [5,2,4,7,3,8,6,1] => [2,8,6,7,4,3,5,1] => 0011011
[3,6,5,2,4,1,8,7] => [4,5,3,2,6,1,8,7] => [3,6,5,2,4,1,8,7] => 0011101
[6,1,4,5,3,2,8,7] => [6,3,5,1,4,2,8,7] => [5,3,1,4,6,2,8,7] => 0101101
[3,8,7,1,4,6,5,2] => [7,5,3,1,6,4,8,2] => [3,6,5,1,4,8,7,2] => 0001111
[4,3,7,6,8,2,5,1] => [5,8,4,3,2,7,6,1] => [4,3,7,6,8,2,5,1] => 0011011
[3,2,6,8,5,7,1,4] => [7,3,2,1,8,6,5,4] => [3,2,6,8,5,7,1,4] => 0100011
[6,3,7,2,4,8,5,1] => [5,8,7,3,6,1,4,2] => [6,3,7,1,4,8,5,2] => 0001111
[2,5,3,7,4,1,8,6] => [4,2,7,5,1,8,3,6] => [2,5,1,8,4,3,7,6] => 0011011
[3,6,4,7,5,1,8,2] => [5,7,3,8,6,1,2,4] => [3,6,1,8,2,7,5,4] => 0001111
[8,4,7,6,2,3,1,5] => [3,6,2,7,4,8,1,5] => [8,4,7,6,2,3,1,5] => 0100111
[4,2,8,7,3,5,6,1] => [6,4,7,2,3,5,8,1] => [8,7,2,4,3,5,6,1] => 0010111
[7,4,3,8,2,5,6,1] => [6,8,4,7,2,5,3,1] => [7,4,2,5,8,3,6,1] => 0010111
[2,5,8,7,3,6,1,4] => [6,2,7,1,5,3,8,4] => [2,5,8,7,1,6,3,4] => 0000111
[2,1,5,8,7,4,6,3] => [2,1,6,7,5,4,8,3] => [2,1,5,8,7,4,6,3] => 1000111
[7,4,3,2,8,5,6,1] => [6,3,4,7,8,5,2,1] => [8,5,7,4,3,2,6,1] => 0110111
[4,2,7,1,8,5,6,3] => [7,4,6,2,8,5,1,3] => [8,5,6,2,4,1,7,3] => 0010111
[4,1,7,2,8,5,6,3] => [4,7,6,1,8,5,2,3] => [8,5,6,1,7,2,4,3] => 0010111
[2,4,8,7,3,5,6,1] => [6,2,7,4,3,5,8,1] => [2,4,8,7,3,5,6,1] => 0000111
[3,4,7,2,8,5,6,1] => [6,7,3,4,8,5,2,1] => [3,4,8,5,7,2,6,1] => 0000111
[6,1,8,5,2,7,4,3] => [6,5,4,8,7,1,3,2] => [7,4,1,8,5,3,6,2] => 0011111
[2,1,7,4,5,8,6,3] => [2,1,6,8,3,7,5,4] => [2,1,7,3,5,8,6,4] => 1000111
[2,1,8,3,6,7,5,4] => [2,1,8,5,7,3,6,4] => [2,1,7,5,3,6,8,4] => 1001011
[8,2,1,6,4,7,5,3] => [2,8,5,7,6,1,3,4] => [6,2,1,7,5,3,8,4] => 1001111
[2,6,3,5,8,7,1,4] => [7,2,6,1,3,5,8,4] => [2,6,1,5,8,7,3,4] => 0000111
[7,6,2,1,5,8,4,3] => [2,6,4,7,3,8,5,1] => [8,4,3,5,7,6,2,1] => 1010111
[3,6,8,7,5,2,1,4] => [2,5,3,1,7,6,8,4] => [3,6,8,7,5,2,1,4] => 1001011
[7,4,8,6,5,2,3,1] => [3,5,2,6,8,7,4,1] => [7,4,8,6,5,2,3,1] => 0101111
[8,1,6,4,7,3,2,5] => [8,3,7,6,2,1,4,5] => [6,3,2,7,1,8,4,5] => 0100111
[7,6,4,1,2,3,8,5] => [4,1,2,6,7,8,5,3] => [8,5,7,6,4,1,2,3] => 0010111
[7,3,5,8,4,2,1,6] => [2,4,8,7,1,3,5,6] => [7,2,1,8,4,3,5,6] => 1010011
[3,2,5,8,4,1,7,6] => [4,3,2,8,5,7,1,6] => [3,2,5,7,4,1,8,6] => 0110011
[7,2,8,4,3,5,6,1] => [6,7,4,8,3,5,2,1] => [8,4,3,5,7,2,6,1] => 0010111
[8,7,3,4,1,5,6,2] => [4,6,7,3,1,5,8,2] => [8,7,3,5,6,1,4,2] => 0010111
[4,8,2,7,3,5,6,1] => [6,8,7,4,3,5,2,1] => [4,7,3,5,8,2,6,1] => 0000111
[3,1,8,7,2,5,6,4] => [3,7,1,6,2,5,8,4] => [6,1,3,2,5,8,7,4] => 0100111
[6,4,8,7,1,3,2,5] => [7,3,1,6,2,4,8,5] => [3,1,6,2,8,7,4,5] => 0100111
[2,8,4,6,7,3,1,5] => [3,2,7,8,1,4,6,5] => [2,8,3,1,6,7,4,5] => 0100011
[6,8,4,2,1,3,7,5] => [2,4,1,8,7,6,3,5] => [6,7,4,2,1,3,8,5] => 1010011
[6,8,5,2,7,4,3,1] => [3,4,7,5,8,6,2,1] => [6,8,5,2,7,4,3,1] => 0111011
[4,3,8,6,2,5,1,7] => [5,6,4,3,2,8,1,7] => [4,3,8,6,2,5,1,7] => 0011101
[8,3,6,1,4,5,2,7] => [6,5,8,1,4,3,2,7] => [8,1,4,5,3,6,2,7] => 0001101
[5,8,4,3,7,6,1,2] => [6,1,4,7,5,8,2,3] => [5,8,4,1,2,7,6,3] => 0010111
[7,1,5,3,4,8,2,6] => [7,8,5,3,1,2,4,6] => [5,3,8,1,7,2,4,6] => 0001011
[6,5,8,4,3,1,7,2] => [3,4,8,7,6,5,1,2] => [6,5,7,1,8,4,3,2] => 0110111
[4,6,5,2,8,1,7,3] => [8,5,6,4,7,3,1,2] => [4,7,3,6,5,1,8,2] => 0001111
[2,8,3,1,5,6,7,4] => [3,2,8,7,1,5,6,4] => [2,7,3,1,5,6,8,4] => 0100011
[8,2,3,1,5,6,7,4] => [3,8,2,7,1,5,6,4] => [7,2,3,1,5,6,8,4] => 0100011
[1,4,8,2,3,6,7,5] => [1,8,2,4,7,3,6,5] => [1,4,7,2,3,6,8,5] => 0000011
[3,1,2,7,8,6,4,5] => [3,1,2,6,4,8,7,5] => [3,1,2,7,8,6,4,5] => 0100101
[7,5,1,8,2,4,3,6] => [5,7,4,1,8,3,2,6] => [4,1,8,3,7,5,2,6] => 0011011
[5,4,8,2,3,6,7,1] => [7,8,2,5,4,3,6,1] => [5,4,8,2,3,6,7,1] => 0001011
[2,4,3,7,1,8,5,6] => [7,2,4,3,8,5,1,6] => [2,4,3,8,5,7,1,6] => 0010011
[2,7,1,4,3,8,5,6] => [7,2,4,1,8,5,3,6] => [2,4,1,8,5,7,3,6] => 0010011
[6,8,5,1,7,2,3,4] => [5,8,1,3,7,6,2,4] => [6,7,1,3,8,5,2,4] => 0001011
[7,3,6,5,8,2,1,4] => [2,8,7,1,6,3,5,4] => [6,2,1,7,5,8,3,4] => 1000111
[4,5,8,7,3,6,1,2] => [6,1,7,4,5,3,8,2] => [4,5,8,7,3,6,1,2] => 0000111
[3,5,2,8,6,1,7,4] => [6,5,3,8,2,7,4,1] => [3,7,2,5,4,8,6,1] => 0001111
[8,6,5,4,1,2,7,3] => [4,1,5,6,8,7,3,2] => [7,3,8,6,5,4,1,2] => 0011111
[2,6,1,8,3,7,5,4] => [6,2,8,5,7,1,3,4] => [2,7,5,1,8,3,6,4] => 0001111
[6,1,5,3,8,7,2,4] => [6,7,5,2,1,3,8,4] => [5,2,8,7,1,6,3,4] => 0001111
[2,8,6,3,7,1,5,4] => [7,2,6,5,1,8,3,4] => [2,5,1,8,6,3,7,4] => 0001111
[7,6,1,5,8,2,3,4] => [6,7,1,3,2,8,5,4] => [8,1,3,5,7,6,2,4] => 0000111
[3,6,8,5,1,2,7,4] => [5,1,3,8,7,6,4,2] => [3,6,7,4,8,5,1,2] => 0001011
[4,8,2,5,1,6,7,3] => [5,8,7,4,2,1,6,3] => [4,7,2,6,8,1,5,3] => 0001011
[4,2,1,8,5,6,7,3] => [2,4,7,1,8,5,6,3] => [8,5,6,7,2,1,4,3] => 1010011
[2,8,4,5,1,6,7,3] => [5,2,7,8,4,1,6,3] => [2,8,4,6,7,1,5,3] => 0001011
[5,4,8,3,7,6,1,2] => [6,1,7,5,4,8,2,3] => [5,4,8,1,2,7,6,3] => 0001111
[3,1,5,8,6,2,7,4] => [3,6,1,8,5,7,4,2] => [5,7,4,8,6,1,3,2] => 0100111
[6,3,4,8,5,1,7,2] => [5,8,7,1,6,4,2,3] => [6,1,4,7,2,8,5,3] => 0001111
[7,6,1,2,8,3,5,4] => [6,1,7,5,2,8,3,4] => [5,1,2,8,3,7,6,4] => 0001111
[6,5,4,8,1,2,7,3] => [8,1,7,5,6,4,2,3] => [6,5,4,7,1,2,8,3] => 0001111
[7,5,1,6,8,2,4,3] => [5,7,4,1,8,2,6,3] => [4,1,8,2,6,7,5,3] => 0011011
[6,5,4,1,8,2,7,3] => [4,5,6,8,7,3,1,2] => [7,3,8,1,6,5,4,2] => 0011111
[6,5,4,7,1,2,8,3] => [7,1,8,5,6,4,2,3] => [6,5,4,8,1,2,7,3] => 0001111
[6,5,3,1,8,4,2,7] => [3,5,4,6,8,1,2,7] => [8,4,1,6,5,3,2,7] => 0111101
[8,1,6,4,7,3,5,2] => [8,5,7,6,3,1,4,2] => [6,3,7,1,5,4,8,2] => 0001111
[6,5,3,7,1,4,8,2] => [7,8,5,1,6,3,4,2] => [6,5,1,8,3,4,7,2] => 0001111
[6,4,3,1,5,8,7,2] => [3,4,6,7,1,5,8,2] => [8,7,1,5,6,4,3,2] => 0110111
[7,4,1,5,3,8,2,6] => [4,7,8,5,2,3,1,6] => [5,2,8,3,7,4,1,6] => 0011011
[7,4,1,5,3,2,6,8] => [4,3,7,5,2,1,6,8] => [5,3,2,7,4,1,6,8] => 0111010
[8,1,7,2,5,4,3,6] => [8,7,4,5,2,3,1,6] => [5,4,2,7,3,8,1,6] => 0011011
[8,1,7,2,5,4,6,3] => [8,7,6,5,2,4,1,3] => [5,2,6,4,7,1,8,3] => 0001111
[7,6,1,2,5,4,8,3] => [6,1,7,5,3,8,4,2] => [5,3,8,4,7,6,1,2] => 0001111
[6,4,3,1,5,2,8,7] => [3,4,6,5,1,2,8,7] => [5,1,6,4,3,2,8,7] => 0111101
[8,1,5,4,3,6,7,2] => [8,7,4,5,1,3,6,2] => [5,4,1,7,3,6,8,2] => 0011011
[6,4,3,1,5,7,8,2] => [3,4,6,8,1,5,7,2] => [7,8,1,5,6,4,3,2] => 0110101
[6,7,4,5,1,8,2,3] => [5,8,2,7,4,6,1,3] => [6,7,4,8,2,5,1,3] => 0001011
[4,7,5,6,2,3,1,8] => [3,6,2,4,7,5,1,8] => [4,7,5,6,2,3,1,8] => 0100110
[4,7,5,6,1,8,2,3] => [6,8,2,4,7,5,1,3] => [4,7,5,8,2,6,1,3] => 0000111
[4,7,5,6,3,8,1,2] => [8,1,6,4,7,5,3,2] => [4,7,5,6,3,8,1,2] => 0000111
[3,7,5,8,4,6,1,2] => [6,1,3,8,7,4,5,2] => [3,7,4,8,5,6,1,2] => 0000111
[4,5,3,8,6,7,1,2] => [7,1,5,4,3,8,6,2] => [4,5,3,8,6,7,1,2] => 0001011
[4,8,3,6,5,7,1,2] => [7,1,8,4,6,3,5,2] => [4,6,3,8,5,7,1,2] => 0000111
[5,6,4,7,1,8,2,3] => [7,8,2,6,5,4,1,3] => [5,6,4,8,2,7,1,3] => 0000111
[5,6,1,7,3,8,2,4] => [6,8,7,2,5,1,3,4] => [5,7,2,8,1,6,3,4] => 0000111
[5,6,1,8,2,7,3,4] => [6,8,7,3,5,1,2,4] => [5,7,3,8,1,6,2,4] => 0000111
[4,8,1,6,5,7,2,3] => [8,7,2,4,6,1,5,3] => [4,6,2,7,5,8,1,3] => 0000111
[4,5,1,8,6,7,2,3] => [5,7,2,4,1,8,6,3] => [4,8,6,7,2,5,1,3] => 0001011
[7,8,4,5,1,6,2,3] => [5,6,2,8,4,1,7,3] => [7,8,4,6,2,5,1,3] => 0001101
[5,6,2,8,1,4,3,7] => [8,6,4,1,5,2,3,7] => [4,1,5,6,2,8,3,7] => 0010101
[5,6,3,4,1,8,2,7] => [4,8,6,3,5,1,2,7] => [5,6,3,8,1,4,2,7] => 0010101
[3,6,4,5,2,7,1,8] => [7,5,3,6,4,2,1,8] => [3,6,4,5,2,7,1,8] => 0001110
[3,6,4,5,1,8,2,7] => [5,8,3,6,4,1,2,7] => [3,6,4,8,1,5,2,7] => 0001101
[2,8,3,6,1,5,4,7] => [6,2,8,5,1,3,4,7] => [2,5,1,8,3,6,4,7] => 0001101
[1,5,3,8,6,7,2,4] => [1,7,5,2,3,8,6,4] => [1,5,2,8,6,7,3,4] => 0001011
[1,8,3,6,2,7,4,5] => [1,6,8,7,4,3,2,5] => [1,7,4,8,3,6,2,5] => 0000111
[1,7,3,6,4,8,2,5] => [1,8,7,6,2,3,4,5] => [1,6,2,7,3,8,4,5] => 0000111
[1,7,2,8,4,6,3,5] => [1,7,6,8,3,4,2,5] => [1,8,3,6,4,7,2,5] => 0000111
[2,7,5,6,3,4,1,8] => [4,2,6,3,7,5,1,8] => [2,7,5,6,3,4,1,8] => 0010110
[6,7,5,8,1,4,2,3] => [8,4,2,1,7,6,5,3] => [4,2,6,7,5,8,1,3] => 0010011
[5,8,6,7,2,3,1,4] => [3,7,2,1,5,8,6,4] => [5,8,6,7,2,3,1,4] => 0100011
[6,7,2,3,1,8,4,5] => [3,7,2,8,4,6,1,5] => [6,8,4,7,2,3,1,5] => 0100011
[3,4,1,7,5,8,2,6] => [4,8,3,1,7,2,5,6] => [3,7,1,4,2,8,5,6] => 0010011
[2,7,5,8,1,4,3,6] => [8,2,4,1,7,3,5,6] => [2,4,1,7,3,8,5,6] => 0010011
[2,3,1,7,5,8,4,6] => [3,2,1,8,7,4,5,6] => [2,3,1,7,4,8,5,6] => 0100011
[2,3,1,8,4,7,5,6] => [3,2,1,8,7,5,4,6] => [2,3,1,7,5,8,4,6] => 0100011
[2,8,1,4,3,7,5,6] => [8,2,4,1,7,5,3,6] => [2,4,1,7,5,8,3,6] => 0010011
[3,7,2,5,4,6,1,8] => [6,7,3,5,2,4,1,8] => [3,5,2,7,4,6,1,8] => 0001110
[4,5,1,8,2,7,3,6] => [5,8,7,4,1,3,2,6] => [4,7,1,8,3,5,2,6] => 0001011
[3,4,2,5,1,8,6,7] => [5,4,3,2,1,8,6,7] => [3,4,2,5,1,8,6,7] => 0011001
[3,8,2,5,1,6,4,7] => [5,8,3,6,2,1,4,7] => [3,6,2,8,1,5,4,7] => 0001101
[4,5,2,8,1,6,3,7] => [8,5,6,4,2,1,3,7] => [4,6,2,5,1,8,3,7] => 0001101
[8,6,7,1,4,2,5,3] => [7,4,5,1,2,8,6,3] => [5,1,4,2,8,6,7,3] => 0011011
[8,6,3,7,5,1,2,4] => [5,1,7,3,6,8,2,4] => [8,6,3,7,5,1,2,4] => 0001111
[7,6,1,8,3,5,2,4] => [6,5,7,2,1,8,3,4] => [8,2,5,1,7,6,3,4] => 0001111
[7,6,1,3,8,5,2,4] => [6,5,2,1,7,8,3,4] => [8,5,2,7,6,1,3,4] => 0001111
[7,6,8,2,4,5,1,3] => [5,8,1,2,4,7,6,3] => [7,6,8,1,4,5,2,3] => 0001011
[7,6,2,3,8,5,1,4] => [5,8,1,2,6,7,3,4] => [7,6,1,8,5,2,3,4] => 0001111
[8,7,1,5,2,6,3,4] => [7,5,6,3,1,2,8,4] => [6,3,5,1,8,7,2,4] => 0001111
[8,5,2,3,1,7,6,4] => [3,5,2,8,6,7,4,1] => [7,6,4,8,5,2,3,1] => 0101111
[8,6,2,7,3,1,5,4] => [3,7,6,5,2,8,1,4] => [5,2,8,6,3,1,7,4] => 0101111
[6,8,7,3,4,1,5,2] => [4,5,7,3,1,6,8,2] => [6,8,7,3,5,1,4,2] => 0011011
[8,7,2,5,1,6,3,4] => [5,7,6,3,2,1,8,4] => [6,3,8,7,2,5,1,4] => 0001111
[8,7,2,1,4,6,3,5] => [2,7,6,1,3,4,8,5] => [6,2,1,8,7,3,4,5] => 1000111
[8,4,2,1,7,6,3,5] => [2,4,8,6,1,7,3,5] => [7,6,2,1,8,4,3,5] => 1010111
[8,5,2,7,1,6,3,4] => [7,5,8,2,6,1,3,4] => [6,2,8,5,1,7,3,4] => 0001111
[8,5,7,2,1,4,3,6] => [2,7,4,1,8,3,5,6] => [4,2,1,8,3,7,5,6] => 1010011
[5,8,7,3,1,4,2,6] => [3,7,4,2,5,1,8,6] => [4,2,5,8,7,3,1,6] => 0110011
[8,5,2,7,1,3,6,4] => [7,5,1,8,6,3,4,2] => [6,1,3,8,5,4,7,2] => 0001111
[8,4,2,1,3,7,6,5] => [2,4,1,8,6,7,3,5] => [7,6,4,2,1,3,8,5] => 1010111
[8,7,4,1,2,3,6,5] => [4,1,2,7,6,3,8,5] => [6,4,1,2,3,8,7,5] => 0010111
[8,7,4,1,2,6,3,5] => [4,1,7,6,2,3,8,5] => [6,1,2,8,7,4,3,5] => 0010111
[8,4,3,1,2,7,6,5] => [3,1,4,8,6,7,2,5] => [7,6,4,3,1,2,8,5] => 0110111
[8,6,1,3,7,2,5,4] => [6,8,2,5,1,7,3,4] => [5,2,7,1,3,8,6,4] => 0001111
[8,5,1,3,2,7,6,4] => [5,3,1,8,6,7,4,2] => [3,1,7,6,4,8,5,2] => 0101111
[8,1,6,4,7,2,5,3] => [8,7,5,6,2,1,4,3] => [6,2,5,1,7,4,8,3] => 0001111
[5,2,8,6,4,1,3,7] => [4,6,2,5,1,8,3,7] => [5,2,8,6,4,1,3,7] => 0011101
[8,4,7,5,1,6,2,3] => [5,7,1,6,8,2,3,4] => [8,1,6,2,3,7,5,4] => 0001111
[8,4,7,5,1,2,3,6] => [5,1,2,7,8,4,3,6] => [8,4,7,5,1,2,3,6] => 0001011
[8,3,2,6,5,1,4,7] => [5,3,6,2,8,1,4,7] => [8,3,2,6,5,1,4,7] => 0101101
[4,8,6,3,5,1,2,7] => [5,1,6,4,3,8,2,7] => [4,8,6,3,5,1,2,7] => 0001101
[4,8,7,3,1,5,2,6] => [3,7,5,4,2,1,8,6] => [4,5,2,8,7,3,1,6] => 0101011
[8,4,7,2,1,5,3,6] => [2,7,5,8,1,3,4,6] => [8,2,1,5,3,7,4,6] => 1001011
[8,3,2,7,1,5,4,6] => [7,3,8,5,1,4,2,6] => [5,3,1,8,4,7,2,6] => 0101011
[8,7,3,1,2,4,6,5] => [3,1,7,2,6,4,8,5] => [6,3,1,2,4,8,7,5] => 0100111
[8,3,2,1,7,4,6,5] => [2,3,8,7,6,4,1,5] => [6,4,7,3,2,1,8,5] => 1100111
[8,4,7,2,1,5,6,3] => [2,7,6,8,1,5,4,3] => [8,2,1,5,6,4,7,3] => 1000111
[3,8,7,4,1,2,5,6] => [4,1,3,7,2,5,8,6] => [3,8,7,4,1,2,5,6] => 0010011
[8,7,2,1,6,3,4,5] => [2,7,6,3,4,1,8,5] => [6,3,4,8,7,2,1,5] => 1000111
[8,7,2,1,3,4,6,5] => [2,7,1,3,6,4,8,5] => [6,2,1,3,4,8,7,5] => 1000111
[3,6,5,4,1,2,8,7] => [4,1,3,5,6,2,8,7] => [3,6,5,4,1,2,8,7] => 0011101
[4,7,5,8,6,2,1,3] => [2,6,1,4,8,7,3,5] => [4,7,2,1,3,8,6,5] => 1000111
[2,5,7,8,6,3,4,1] => [4,2,6,3,5,8,7,1] => [2,5,7,8,6,3,4,1] => 0010101
[4,8,5,7,6,3,1,2] => [3,1,6,4,7,8,2,5] => [4,8,3,1,2,7,6,5] => 0100111
[4,6,3,2,1,5,8,7] => [2,3,6,4,1,5,8,7] => [4,6,3,2,1,5,8,7] => 1100101
[5,8,1,3,7,6,4,2] => [8,4,1,6,5,7,3,2] => [5,7,6,4,1,3,8,2] => 0010111
[3,7,4,2,8,1,5,6] => [8,4,3,7,1,5,2,6] => [3,7,4,1,5,8,2,6] => 0010011
[4,2,6,8,5,7,3,1] => [3,7,4,1,8,6,5,2] => [4,1,6,8,5,7,3,2] => 0110011
[2,1,5,8,7,6,3,4] => [2,1,6,3,5,7,8,4] => [2,1,5,8,7,6,3,4] => 1000111
[2,1,4,7,6,3,8,5] => [2,1,6,4,7,8,5,3] => [2,1,4,8,5,7,6,3] => 1000111
[6,4,7,8,5,3,2,1] => [2,3,5,8,6,1,7,4] => [6,3,2,1,7,8,5,4] => 1101101
[6,3,7,1,5,2,8,4] => [7,5,6,8,1,3,2,4] => [8,1,6,3,5,2,7,4] => 0001111
[8,4,6,1,3,2,5,7] => [6,3,1,8,2,4,5,7] => [3,1,8,2,6,4,5,7] => 0100101
[7,4,3,8,2,1,5,6] => [2,8,4,7,1,5,3,6] => [7,4,2,1,5,8,3,6] => 1010011
[2,4,8,5,7,1,3,6] => [7,2,1,4,8,3,5,6] => [2,4,8,1,3,7,5,6] => 0000011
[7,8,2,5,6,1,4,3] => [6,8,4,1,2,5,7,3] => [4,1,7,8,2,5,6,3] => 0010101
[2,4,3,8,7,5,6,1] => [6,2,4,3,7,5,8,1] => [2,4,3,8,7,5,6,1] => 0010111
[2,6,7,3,5,1,8,4] => [5,2,7,8,3,6,1,4] => [2,6,8,3,7,1,5,4] => 0001011
[8,5,7,1,6,3,2,4] => [7,3,6,2,8,1,5,4] => [8,3,2,6,5,7,1,4] => 0100111
[6,5,7,2,8,4,3,1] => [3,4,8,7,6,5,2,1] => [6,5,7,2,8,4,3,1] => 0110111
[3,4,8,6,5,2,1,7] => [2,5,3,4,6,8,1,7] => [3,4,8,6,5,2,1,7] => 1001101
[6,5,8,2,1,7,3,4] => [2,8,7,3,6,5,1,4] => [6,5,7,3,8,2,1,4] => 1000111
[2,1,6,5,8,4,7,3] => [2,1,7,8,6,5,4,3] => [2,1,6,5,8,4,7,3] => 1000111
[2,1,6,8,5,4,3,7] => [2,1,4,5,8,6,3,7] => [2,1,6,8,5,4,3,7] => 1011001
[6,2,8,4,3,5,1,7] => [5,6,4,8,3,2,1,7] => [8,4,3,6,2,5,1,7] => 0011101
[4,8,2,7,6,1,3,5] => [6,7,2,4,3,8,1,5] => [4,8,2,3,7,6,1,5] => 0000111
[7,4,8,6,3,2,5,1] => [5,3,6,8,4,7,2,1] => [7,4,8,6,3,2,5,1] => 0101111
[5,8,4,2,3,6,1,7] => [6,4,2,8,5,3,1,7] => [5,8,4,2,3,6,1,7] => 0010101
[5,8,2,4,3,1,6,7] => [3,4,8,1,5,2,6,7] => [5,8,1,4,3,2,6,7] => 0110001
[8,2,1,3,4,7,5,6] => [2,8,1,3,7,5,4,6] => [7,5,8,2,1,3,4,6] => 1000011
[1,2,7,3,5,4,8,6] => [1,2,7,5,3,8,4,6] => [1,2,5,3,8,4,7,6] => 0001011
[1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => [1,2,3,7,4,5,8,6] => 0000011
[1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => [1,5,2,3,8,4,7,6] => 0001011
[1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => [1,3,7,2,4,5,8,6] => 0000011
[1,2,3,8,4,6,7,5] => [1,2,3,8,7,4,6,5] => [1,2,3,7,4,6,8,5] => 0000011
[1,8,2,3,5,4,6,7] => [1,8,2,5,3,4,6,7] => [1,5,2,3,8,4,6,7] => 0001001
[1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => [1,5,2,3,6,7,8,4] => 0001001
[1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => [1,6,4,8,2,3,5,7] => 0000101
[1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => [1,2,5,3,8,4,6,7] => 0001001
[1,2,7,8,3,6,4,5] => [1,2,8,6,4,3,7,5] => [1,2,6,4,7,8,3,5] => 0000101
[1,3,2,8,4,6,7,5] => [1,3,2,8,7,4,6,5] => [1,3,2,7,4,6,8,5] => 0100011
[6,7,4,5,1,2,8,3] => [5,1,8,7,4,6,2,3] => [6,7,4,8,1,2,5,3] => 0001011
[7,4,6,5,1,2,3,8] => [5,1,2,6,7,3,4,8] => [7,1,2,3,6,5,4,8] => 0001110
[6,7,5,4,1,2,8,3] => [4,1,5,7,8,6,2,3] => [6,8,1,2,7,5,4,3] => 0011011
[5,8,6,4,1,7,2,3] => [4,6,2,8,5,7,1,3] => [5,7,2,8,6,4,1,3] => 0010111
[5,7,6,4,1,8,2,3] => [4,6,2,7,5,8,1,3] => [5,8,2,7,6,4,1,3] => 0010111
[6,5,7,4,1,2,8,3] => [4,1,7,8,6,5,3,2] => [6,5,8,3,7,4,1,2] => 0010111
[6,4,8,5,1,2,7,3] => [5,1,8,7,6,2,3,4] => [6,1,2,7,3,8,5,4] => 0001111
[6,5,8,4,1,2,7,3] => [4,1,8,7,6,5,3,2] => [6,5,7,3,8,4,1,2] => 0010111
[5,6,8,4,1,7,2,3] => [4,8,1,7,5,6,2,3] => [5,6,7,1,8,4,2,3] => 0010011
[4,6,8,5,7,1,2,3] => [7,1,2,4,8,6,5,3] => [4,6,8,5,7,1,2,3] => 0000011
[4,5,8,6,7,1,2,3] => [7,1,2,4,5,8,6,3] => [4,5,8,6,7,1,2,3] => 0000011
[5,3,8,1,6,7,2,4] => [8,7,5,2,3,1,6,4] => [5,2,7,3,6,8,1,4] => 0001011
[5,2,1,8,6,7,3,4] => [2,5,7,3,1,8,6,4] => [8,6,7,3,5,2,1,4] => 1001011
[5,2,1,7,6,8,3,4] => [2,5,8,3,1,7,6,4] => [7,6,8,3,5,2,1,4] => 1001011
[4,6,7,5,8,1,2,3] => [8,1,2,4,7,6,5,3] => [4,6,7,5,8,1,2,3] => 0000011
[4,8,6,5,7,1,2,3] => [7,1,2,4,6,8,5,3] => [4,8,6,5,7,1,2,3] => 0000111
[4,8,5,6,7,1,2,3] => [7,1,2,4,8,5,6,3] => [4,8,5,6,7,1,2,3] => 0000011
[4,7,5,6,8,1,2,3] => [8,1,2,4,7,5,6,3] => [4,7,5,6,8,1,2,3] => 0000011
[4,6,5,7,8,1,2,3] => [8,1,2,4,6,5,7,3] => [4,6,5,7,8,1,2,3] => 0000101
[5,7,4,6,1,8,2,3] => [6,8,2,7,5,4,1,3] => [5,7,4,8,2,6,1,3] => 0000111
[5,8,4,6,1,7,2,3] => [6,7,2,8,5,4,1,3] => [5,8,4,7,2,6,1,3] => 0000111
[5,7,4,8,1,6,2,3] => [8,6,2,7,5,1,4,3] => [5,7,2,6,4,8,1,3] => 0000111
[5,4,6,8,1,7,2,3] => [8,7,2,5,4,6,1,3] => [5,4,6,7,2,8,1,3] => 0001011
[4,5,6,8,7,1,2,3] => [7,1,2,4,5,6,8,3] => [4,5,6,8,7,1,2,3] => 0000011
[4,8,5,7,6,1,2,3] => [6,1,2,4,7,8,3,5] => [4,8,1,2,3,7,6,5] => 0000111
[4,8,6,7,5,1,2,3] => [5,1,2,4,7,8,6,3] => [4,8,6,7,5,1,2,3] => 0001011
[4,7,6,8,5,1,2,3] => [5,1,2,4,8,7,6,3] => [4,7,6,8,5,1,2,3] => 0001011
[4,6,7,8,5,1,2,3] => [5,1,2,4,8,6,7,3] => [4,6,7,8,5,1,2,3] => 0001001
[5,4,7,8,1,6,2,3] => [8,6,2,5,4,1,7,3] => [5,4,6,2,7,8,1,3] => 0001101
[5,3,7,1,8,6,2,4] => [7,6,5,2,3,8,1,4] => [5,2,8,6,3,7,1,4] => 0001111
[4,6,8,7,5,1,2,3] => [5,1,2,4,7,6,8,3] => [4,6,8,7,5,1,2,3] => 0001011
[4,8,7,6,5,1,2,3] => [5,1,2,4,6,7,8,3] => [4,8,7,6,5,1,2,3] => 0001111
[2,5,4,7,3,6,1,8] => [6,2,7,5,4,3,1,8] => [2,5,4,7,3,6,1,8] => 0001110
[2,4,6,3,7,5,1,8] => [5,2,7,4,6,1,3,8] => [2,4,6,1,7,5,3,8] => 0001110
[4,2,7,3,6,5,1,8] => [5,4,6,2,7,1,3,8] => [7,2,4,1,6,5,3,8] => 0011110
[4,2,6,3,1,5,8,7] => [3,6,4,1,2,5,8,7] => [4,1,6,3,2,5,8,7] => 0110101
[4,2,7,6,3,5,1,8] => [5,4,6,2,3,7,1,8] => [7,6,2,4,3,5,1,8] => 0011110
[2,6,3,7,5,4,1,8] => [4,2,5,7,6,3,1,8] => [2,6,3,7,5,4,1,8] => 0011110
[1,7,5,2,3,8,4,6] => [1,5,2,7,8,3,4,6] => [1,8,2,3,7,5,4,6] => 0001011
[2,3,1,8,6,5,4,7] => [3,2,1,5,6,8,4,7] => [2,3,1,8,6,5,4,7] => 0101101
[2,5,3,1,8,6,4,7] => [3,2,5,6,1,8,4,7] => [2,8,6,3,1,5,4,7] => 0101101
[8,3,2,6,4,1,5,7] => [4,3,6,8,2,1,5,7] => [8,3,2,6,4,1,5,7] => 0110101
[3,6,8,2,1,4,5,7] => [2,8,3,1,4,6,5,7] => [3,6,8,2,1,4,5,7] => 1000001
[1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => [1,7,3,5,2,4,8,6] => 0001011
[1,2,6,3,8,7,4,5] => [1,2,6,7,4,3,8,5] => [1,2,8,7,4,6,3,5] => 0000111
[1,2,3,8,6,4,7,5] => [1,2,3,6,8,7,5,4] => [1,2,3,7,5,8,6,4] => 0000111
[1,2,3,7,4,8,6,5] => [1,2,3,7,6,8,4,5] => [1,2,3,8,6,4,7,5] => 0000111
[1,2,7,6,3,8,4,5] => [1,2,6,7,3,8,4,5] => [1,2,8,3,7,6,4,5] => 0000111
[1,2,3,6,4,8,7,5] => [1,2,3,6,7,4,8,5] => [1,2,3,8,7,4,6,5] => 0000111
[1,2,3,7,6,4,8,5] => [1,2,3,6,7,8,5,4] => [1,2,3,8,5,7,6,4] => 0000111
[2,1,3,8,5,4,7,6] => [2,1,3,5,8,7,4,6] => [2,1,3,7,5,4,8,6] => 1001011
[7,1,8,4,2,3,5,6] => [7,4,2,8,3,5,1,6] => [8,4,2,3,5,7,1,6] => 0010011
[2,1,8,4,3,5,7,6] => [2,1,4,8,3,7,5,6] => [2,1,7,4,3,5,8,6] => 1010011
[3,5,8,2,4,1,6,7] => [4,8,3,2,5,1,6,7] => [3,5,8,2,4,1,6,7] => 0010001
[2,5,4,8,3,1,6,7] => [3,2,8,5,4,1,6,7] => [2,5,4,8,3,1,6,7] => 0101001
[4,2,1,8,3,5,7,6] => [2,4,8,1,3,7,5,6] => [7,2,1,4,3,5,8,6] => 1010011
[1,8,7,4,2,3,5,6] => [1,4,2,7,3,5,8,6] => [1,8,7,4,2,3,5,6] => 0010011
[1,2,7,3,6,4,8,5] => [1,2,7,6,8,3,4,5] => [1,2,8,3,6,4,7,5] => 0000111
[1,2,8,6,3,7,4,5] => [1,2,6,8,3,7,4,5] => [1,2,7,3,8,6,4,5] => 0000111
[1,2,3,8,4,7,6,5] => [1,2,3,8,6,7,4,5] => [1,2,3,7,6,4,8,5] => 0000111
[1,2,7,3,4,8,6,5] => [1,2,7,3,6,8,4,5] => [1,2,8,6,3,4,7,5] => 0000111
[1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => [1,2,7,3,8,4,6,5] => 0000111
[1,5,2,3,8,7,4,6] => [1,5,2,7,3,4,8,6] => [1,8,7,2,3,5,4,6] => 0001011
[8,3,2,1,7,4,5,6] => [2,3,8,7,4,5,1,6] => [7,4,5,8,3,2,1,6] => 1100011
[1,2,8,6,3,4,7,5] => [1,2,6,3,8,7,5,4] => [1,2,7,5,8,6,3,4] => 0000111
[1,2,7,3,8,4,6,5] => [1,2,7,8,6,4,3,5] => [1,2,6,4,8,3,7,5] => 0000111
[1,2,3,8,7,4,6,5] => [1,2,3,7,6,4,8,5] => [1,2,3,6,4,8,7,5] => 0000111
[1,2,3,8,7,6,4,5] => [1,2,3,6,4,7,8,5] => [1,2,3,8,7,6,4,5] => 0000111
[2,6,5,7,1,4,3,8] => [7,2,4,1,6,5,3,8] => [2,4,1,6,5,7,3,8] => 0010110
[3,8,5,7,2,6,4,1] => [4,6,3,7,8,1,5,2] => [3,8,1,7,5,6,4,2] => 0010111
[3,4,8,6,1,2,5,7] => [6,1,3,4,2,8,5,7] => [3,4,8,6,1,2,5,7] => 0000101
[2,4,3,8,1,6,5,7] => [8,2,4,3,6,1,5,7] => [2,4,3,6,1,8,5,7] => 0010101
[2,4,8,1,3,5,7,6] => [8,2,1,4,3,7,5,6] => [2,4,7,1,3,5,8,6] => 0000011
[3,5,7,6,2,4,8,1] => [8,6,3,2,5,7,4,1] => [3,5,7,6,2,4,8,1] => 0000111
[4,8,6,7,1,2,3,5] => [7,1,2,4,3,8,6,5] => [4,8,6,7,1,2,3,5] => 0000011
[3,2,8,5,6,1,7,4] => [6,3,2,7,8,5,1,4] => [3,2,8,5,7,1,6,4] => 0100111
[4,8,6,7,2,1,3,5] => [2,7,1,4,3,8,6,5] => [4,8,6,7,2,1,3,5] => 1000011
[4,8,6,7,3,5,2,1] => [2,5,7,4,3,8,6,1] => [4,8,6,7,3,5,2,1] => 1001011
[5,8,6,7,3,4,2,1] => [2,4,7,3,5,8,6,1] => [5,8,6,7,3,4,2,1] => 1010011
[5,8,6,7,2,1,4,3] => [2,7,4,1,5,8,6,3] => [4,2,1,5,8,6,7,3] => 1010011
[4,8,6,7,2,1,5,3] => [2,7,5,4,1,8,6,3] => [4,5,2,1,8,6,7,3] => 1001011
[4,3,1,7,5,2,8,6] => [3,4,5,2,7,8,1,6] => [8,5,2,4,3,1,7,6] => 0111011
[4,3,2,8,5,1,7,6] => [5,3,4,2,8,7,1,6] => [4,3,2,7,5,1,8,6] => 0111011
[4,3,8,5,1,6,7,2] => [5,8,4,3,7,2,6,1] => [4,3,7,2,6,8,5,1] => 0011011
[4,8,6,7,1,5,3,2] => [7,3,5,4,1,8,6,2] => [4,5,3,1,8,6,7,2] => 0101011
[5,8,6,7,1,4,3,2] => [7,3,4,1,5,8,6,2] => [4,3,1,5,8,6,7,2] => 0110011
[5,8,6,7,2,4,3,1] => [3,4,7,1,5,8,6,2] => [5,8,6,7,1,4,3,2] => 0110011
[4,2,3,8,5,1,6,7] => [5,4,2,3,8,1,6,7] => [4,2,3,8,5,1,6,7] => 0011001
[3,2,5,7,6,1,4,8] => [6,3,2,1,5,7,4,8] => [3,2,5,7,6,1,4,8] => 0100110
[4,8,6,7,1,3,2,5] => [7,3,1,4,2,8,6,5] => [3,1,4,8,6,7,2,5] => 0100011
[4,8,6,7,1,2,5,3] => [7,1,5,4,2,8,6,3] => [4,5,1,2,8,6,7,3] => 0001011
[4,3,8,5,2,6,7,1] => [7,5,4,3,8,2,6,1] => [4,3,8,5,2,6,7,1] => 0011011
[4,3,8,5,1,2,6,7] => [5,1,4,3,8,2,6,7] => [4,3,8,5,1,2,6,7] => 0011001
[4,2,6,7,5,1,3,8] => [5,4,1,2,7,6,3,8] => [4,1,6,7,5,2,3,8] => 0011010
[3,8,5,7,1,4,2,6] => [7,4,3,1,8,2,5,6] => [3,4,1,8,2,7,5,6] => 0010011
[3,8,4,7,1,5,2,6] => [7,5,3,8,1,2,4,6] => [3,8,1,5,2,7,4,6] => 0001011
[3,8,4,7,2,5,1,6] => [5,7,3,8,2,1,4,6] => [3,8,2,7,1,5,4,6] => 0001011
[4,8,6,7,3,2,5,1] => [5,3,7,4,2,8,6,1] => [4,8,6,7,3,2,5,1] => 0101011
[4,8,6,7,3,1,2,5] => [3,1,7,4,2,8,6,5] => [4,8,6,7,3,1,2,5] => 0100011
[3,4,1,7,5,6,2,8] => [4,6,3,1,7,5,2,8] => [3,7,5,6,1,4,2,8] => 0010110
[4,8,6,7,2,3,1,5] => [3,7,2,4,1,8,6,5] => [4,8,6,7,2,3,1,5] => 0100011
[5,8,6,7,3,2,4,1] => [4,3,7,2,5,8,6,1] => [5,8,6,7,3,2,4,1] => 0110011
[5,8,6,7,4,2,3,1] => [3,4,2,7,5,8,6,1] => [5,8,6,7,4,2,3,1] => 0110011
[5,8,6,7,4,1,3,2] => [4,3,1,7,5,8,6,2] => [3,1,5,8,6,7,4,2] => 0110011
[4,2,8,5,3,1,7,6] => [3,5,4,1,8,7,2,6] => [4,1,7,5,3,2,8,6] => 0111011
[4,8,6,7,3,2,1,5] => [2,3,7,4,1,8,6,5] => [4,8,6,7,3,2,1,5] => 1100011
[5,8,6,7,4,2,1,3] => [2,4,1,7,5,8,6,3] => [5,8,6,7,4,2,1,3] => 1010011
[3,8,7,6,1,4,2,5] => [6,4,3,1,2,7,8,5] => [3,4,1,8,7,6,2,5] => 0010111
[5,1,8,3,6,7,2,4] => [5,7,8,2,1,3,6,4] => [8,2,6,7,1,5,3,4] => 0001011
[1,4,7,8,5,6,2,3] => [1,6,2,4,8,5,7,3] => [1,4,7,8,5,6,2,3] => 0000101
[3,4,7,1,5,8,6,2] => [7,6,3,4,1,8,5,2] => [3,4,8,6,1,5,7,2] => 0000111
[3,6,1,4,7,8,5,2] => [6,5,3,1,8,4,7,2] => [3,7,8,5,1,4,6,2] => 0001101
[1,6,8,4,7,5,2,3] => [1,5,2,7,8,6,3,4] => [1,6,8,2,3,7,5,4] => 0001011
[6,8,1,3,5,7,2,4] => [8,7,1,2,3,6,5,4] => [6,7,1,5,8,2,3,4] => 0000011
[7,6,1,4,3,8,2,5] => [6,7,4,2,1,8,3,5] => [4,2,8,1,7,6,3,5] => 0010111
[4,1,3,7,5,8,2,6] => [4,8,1,3,7,2,5,6] => [7,1,3,4,2,8,5,6] => 0010011
[3,1,7,6,5,8,4,2] => [3,4,1,8,6,7,5,2] => [7,6,5,8,4,1,3,2] => 0110111
[8,4,2,6,7,5,3,1] => [3,5,4,7,8,2,6,1] => [8,4,2,6,7,5,3,1] => 0111011
[1,3,8,6,2,7,5,4] => [1,6,3,5,8,7,4,2] => [1,3,7,5,4,8,6,2] => 0001111
[6,1,3,2,7,8,4,5] => [6,3,1,8,4,2,7,5] => [3,1,7,8,4,6,2,5] => 0100101
[5,7,8,6,2,1,4,3] => [2,6,4,1,5,8,7,3] => [4,2,1,5,7,8,6,3] => 1010101
[3,7,2,4,5,1,6,8] => [5,7,3,2,4,1,6,8] => [3,7,2,4,5,1,6,8] => 0001010
[1,8,6,4,5,2,3,7] => [1,5,2,6,4,8,3,7] => [1,8,6,4,5,2,3,7] => 0001101
[2,8,4,6,5,1,3,7] => [5,2,1,6,8,3,4,7] => [2,8,1,3,6,5,4,7] => 0001101
[7,5,8,6,1,2,4,3] => [6,1,4,2,8,7,3,5] => [4,1,2,7,3,8,6,5] => 0010111
[6,4,1,2,7,5,8,3] => [4,1,6,8,7,3,5,2] => [7,3,8,5,6,4,1,2] => 0010111
[4,3,7,8,5,1,6,2] => [5,8,4,3,6,2,7,1] => [4,3,6,2,7,8,5,1] => 0011101
[5,4,8,2,7,6,1,3] => [6,7,2,5,4,8,1,3] => [5,4,8,2,7,6,1,3] => 0001111
[1,2,7,3,6,5,8,4] => [1,2,7,8,6,3,5,4] => [1,2,6,3,8,5,7,4] => 0000111
[2,8,7,6,3,4,1,5] => [4,2,6,3,1,7,8,5] => [2,8,7,6,3,4,1,5] => 0010111
[5,8,2,6,3,4,1,7] => [4,8,6,3,5,2,1,7] => [5,6,3,8,2,4,1,7] => 0010101
[8,2,7,5,4,3,6,1] => [6,8,4,5,7,3,2,1] => [7,5,4,3,8,2,6,1] => 0011111
[6,3,8,1,4,7,5,2] => [8,5,7,1,6,2,4,3] => [6,1,7,5,2,4,8,3] => 0001111
[3,8,4,5,6,1,2,7] => [6,1,3,8,4,5,2,7] => [3,8,4,5,6,1,2,7] => 0000101
[1,4,3,5,7,8,2,6] => [1,8,4,3,5,2,7,6] => [1,4,3,5,7,8,2,6] => 0010001
[3,6,7,2,4,8,1,5] => [8,7,3,2,1,6,4,5] => [3,6,7,2,8,1,4,5] => 0000011
[1,5,2,7,4,3,8,6] => [1,5,4,7,2,8,3,6] => [1,8,4,2,5,3,7,6] => 0011011
[1,8,6,5,4,3,2,7] => [1,3,4,5,6,8,2,7] => [1,8,6,5,4,3,2,7] => 0111101
[6,1,5,2,8,4,7,3] => [6,5,7,8,1,2,4,3] => [8,1,7,2,5,4,6,3] => 0001111
[4,6,1,8,5,7,2,3] => [6,7,2,4,8,1,5,3] => [4,8,2,7,5,6,1,3] => 0000111
[4,7,1,2,8,5,6,3] => [7,1,6,4,8,5,2,3] => [4,8,5,6,1,2,7,3] => 0000111
[1,7,3,5,8,6,2,4] => [1,6,8,3,2,7,5,4] => [1,7,3,5,8,6,2,4] => 0000111
[7,3,5,8,6,1,2,4] => [6,1,8,3,2,7,5,4] => [7,3,5,8,6,1,2,4] => 0000111
[3,6,8,1,5,7,2,4] => [8,7,3,2,1,6,5,4] => [3,6,7,2,5,8,1,4] => 0000011
[3,4,6,5,8,1,7,2] => [8,7,3,4,6,5,1,2] => [3,4,6,5,7,1,8,2] => 0000111
[1,7,6,8,2,3,5,4] => [1,8,2,5,3,7,6,4] => [1,5,2,3,7,6,8,4] => 0001011
[7,6,8,1,2,3,5,4] => [8,1,2,5,3,7,6,4] => [5,1,2,3,7,6,8,4] => 0001011
[4,7,5,8,3,1,6,2] => [3,8,6,4,7,2,5,1] => [4,7,2,6,5,8,3,1] => 0100111
[7,6,8,2,1,3,5,4] => [2,8,1,5,3,7,6,4] => [5,2,1,3,7,6,8,4] => 1001011
[1,2,7,6,8,3,5,4] => [1,2,8,5,3,7,6,4] => [1,2,5,3,7,6,8,4] => 0001011
[6,7,4,3,1,8,5,2] => [3,4,7,5,8,6,1,2] => [6,8,5,1,7,4,3,2] => 0111011
[2,7,4,1,6,8,5,3] => [4,2,7,5,8,3,6,1] => [2,8,5,3,6,7,4,1] => 0011011
[2,3,7,6,8,1,5,4] => [8,2,3,5,1,7,6,4] => [2,3,5,1,7,6,8,4] => 0001011
[7,4,2,6,8,5,1,3] => [5,4,2,8,7,1,6,3] => [7,4,2,6,8,5,1,3] => 0011011
[7,3,2,5,8,6,1,4] => [6,3,8,2,1,7,5,4] => [7,3,2,5,8,6,1,4] => 0100111
[3,1,7,6,8,2,5,4] => [3,8,1,5,2,7,6,4] => [5,1,3,2,7,6,8,4] => 0101011
[3,7,6,8,1,2,5,4] => [8,1,3,5,2,7,6,4] => [3,5,1,2,7,6,8,4] => 0001011
[1,7,4,2,6,8,5,3] => [1,4,7,5,8,3,6,2] => [1,8,5,3,6,7,4,2] => 0011011
[7,1,6,8,5,4,2,3] => [7,4,2,5,8,1,6,3] => [8,5,4,2,6,7,1,3] => 0011011
[1,7,6,8,3,2,5,4] => [1,3,8,5,2,7,6,4] => [1,5,3,2,7,6,8,4] => 0101011
[7,6,8,3,1,2,5,4] => [3,1,8,5,2,7,6,4] => [5,3,1,2,7,6,8,4] => 0101011
[7,1,5,8,6,3,2,4] => [7,3,6,2,1,8,5,4] => [8,6,3,2,5,7,1,4] => 0100111
[7,2,5,8,6,3,1,4] => [3,6,8,1,2,7,5,4] => [7,1,5,8,6,3,2,4] => 0100111
[3,6,7,1,8,5,4,2] => [7,4,3,5,8,6,1,2] => [3,6,8,5,4,1,7,2] => 0011011
[7,2,6,8,5,4,1,3] => [4,5,1,8,7,2,6,3] => [7,1,6,8,5,4,2,3] => 0011011
[7,6,8,2,3,1,5,4] => [3,8,2,5,1,7,6,4] => [5,2,3,1,7,6,8,4] => 0101011
[6,7,3,1,8,5,4,2] => [3,7,4,5,8,6,2,1] => [6,8,5,4,2,7,3,1] => 0111011
[6,7,1,8,5,4,3,2] => [7,3,4,5,8,6,1,2] => [6,8,5,4,3,1,7,2] => 0111011
[7,2,1,6,8,5,4,3] => [2,7,4,5,8,1,6,3] => [8,5,4,2,1,6,7,3] => 1011011
[5,6,4,8,1,2,7,3] => [8,1,7,6,5,4,2,3] => [5,6,4,7,1,2,8,3] => 0000111
[8,1,5,6,7,2,4,3] => [8,7,4,2,1,5,6,3] => [4,2,7,1,5,6,8,3] => 0010011
[6,4,5,1,8,2,7,3] => [5,8,7,6,4,1,2,3] => [6,4,7,1,8,2,5,3] => 0001111
[8,1,4,6,7,3,2,5] => [8,3,7,1,2,4,6,5] => [7,3,1,6,8,2,4,5] => 0100011
[4,2,6,7,3,1,8,5] => [3,7,4,1,8,6,2,5] => [4,1,6,8,3,2,7,5] => 0110011
[6,2,4,1,5,8,7,3] => [4,6,7,2,1,5,8,3] => [8,7,2,5,6,1,4,3] => 0010111
[8,1,4,5,3,7,2,6] => [8,7,5,1,4,2,3,6] => [5,1,4,7,2,8,3,6] => 0001011
[5,3,4,2,1,8,6,7] => [2,4,5,3,1,8,6,7] => [5,3,4,2,1,8,6,7] => 1011001
[4,3,5,2,7,1,6,8] => [7,5,4,3,2,1,6,8] => [4,3,5,2,7,1,6,8] => 0011010
[8,1,7,2,4,5,6,3] => [8,7,6,2,4,5,1,3] => [6,2,4,5,7,1,8,3] => 0000111
[7,6,1,2,4,5,8,3] => [6,1,7,3,4,8,5,2] => [8,3,4,5,7,6,1,2] => 0000111
[7,5,1,3,2,6,8,4] => [5,3,1,7,8,4,6,2] => [3,1,8,4,6,7,5,2] => 0101011
[8,1,6,3,2,5,7,4] => [8,3,6,7,2,1,5,4] => [7,3,2,6,1,5,8,4] => 0100111
[7,4,1,3,5,2,8,6] => [4,7,2,5,3,8,1,6] => [5,2,3,8,4,1,7,6] => 0011011
[7,3,1,4,5,6,2,8] => [3,7,6,2,4,5,1,8] => [6,2,4,5,7,3,1,8] => 0100110
[8,1,4,3,5,6,2,7] => [8,6,4,1,3,5,2,7] => [4,1,6,3,5,8,2,7] => 0010101
[6,2,3,1,5,7,8,4] => [3,6,2,8,1,5,7,4] => [7,8,2,3,1,5,6,4] => 0100101
[6,2,3,4,8,7,1,5] => [7,6,2,3,1,4,8,5] => [6,2,3,8,7,1,4,5] => 0000111
[7,8,3,4,6,2,1,5] => [2,6,8,3,1,4,7,5] => [7,8,3,6,2,1,4,5] => 1000101
[7,8,3,6,4,2,1,5] => [2,4,6,8,3,1,7,5] => [7,8,3,6,4,2,1,5] => 1010101
[6,2,3,8,7,5,1,4] => [5,7,1,2,6,3,8,4] => [6,1,8,7,5,2,3,4] => 0001111
[6,2,3,7,8,5,1,4] => [5,8,1,2,6,3,7,4] => [6,1,7,8,5,2,3,4] => 0001101
[5,2,6,3,8,1,7,4] => [8,5,6,7,2,3,1,4] => [7,2,6,3,5,1,8,4] => 0001111
[6,2,4,1,7,3,5,8] => [4,6,7,2,3,1,5,8] => [7,2,6,3,4,1,5,8] => 0010110
[5,8,2,3,6,1,7,4] => [6,8,2,7,5,3,1,4] => [5,7,2,3,8,1,6,4] => 0000111
[4,6,8,5,3,2,1,7] => [2,3,5,4,8,6,1,7] => [4,6,8,5,3,2,1,7] => 1101001
[5,6,8,4,3,7,1,2] => [7,1,4,8,5,6,3,2] => [5,6,8,4,3,7,1,2] => 0010011
[5,6,1,4,2,3,8,7] => [6,4,2,1,5,3,8,7] => [4,2,5,6,1,3,8,7] => 0010101
[4,7,5,6,3,2,1,8] => [2,3,6,4,7,5,1,8] => [4,7,5,6,3,2,1,8] => 1100110
[5,1,4,3,8,2,7,6] => [5,8,4,1,3,7,2,6] => [4,1,7,3,5,2,8,6] => 0011011
[5,6,2,4,1,8,7,3] => [4,6,7,2,5,1,8,3] => [5,8,7,2,6,1,4,3] => 0010111
[6,1,4,2,8,7,5,3] => [6,4,5,1,7,2,8,3] => [8,7,5,1,4,2,6,3] => 0011111
[6,1,4,2,7,8,5,3] => [6,4,5,1,8,2,7,3] => [7,8,5,1,4,2,6,3] => 0011101
[5,8,2,4,1,7,6,3] => [4,8,6,2,5,7,1,3] => [5,7,6,2,8,1,4,3] => 0010111
[5,2,7,4,1,6,8,3] => [4,7,5,8,3,2,6,1] => [8,3,5,2,6,7,4,1] => 0011011
[5,4,1,3,7,2,6,8] => [4,5,2,7,3,1,6,8] => [7,2,3,5,4,1,6,8] => 0011010
[5,8,6,4,3,7,1,2] => [7,1,4,6,5,8,3,2] => [5,8,6,4,3,7,1,2] => 0010111
[5,1,6,3,4,2,7,8] => [5,4,6,3,1,2,7,8] => [6,3,4,1,5,2,7,8] => 0011100
[5,4,8,7,3,2,1,6] => [2,3,7,5,4,1,8,6] => [5,4,8,7,3,2,1,6] => 1101011
[4,6,8,7,3,2,1,5] => [2,3,7,4,1,6,8,5] => [4,6,8,7,3,2,1,5] => 1100011
[4,6,7,8,3,2,1,5] => [2,3,8,4,1,6,7,5] => [4,6,7,8,3,2,1,5] => 1100001
[4,7,6,8,3,2,1,5] => [2,3,8,4,1,7,6,5] => [4,7,6,8,3,2,1,5] => 1100011
[5,8,1,3,4,2,6,7] => [8,4,1,3,5,2,6,7] => [4,1,3,5,8,2,6,7] => 0010001
[4,8,7,5,3,2,1,6] => [2,3,5,4,7,1,8,6] => [4,8,7,5,3,2,1,6] => 1101011
[4,7,8,6,3,2,1,5] => [2,3,6,4,1,8,7,5] => [4,7,8,6,3,2,1,5] => 1100101
[4,8,7,6,3,2,1,5] => [2,3,6,4,1,7,8,5] => [4,8,7,6,3,2,1,5] => 1100111
[4,8,2,3,6,7,5,1] => [5,7,1,4,8,3,6,2] => [4,8,1,3,6,7,5,2] => 0001011
[4,3,8,1,6,2,5,7] => [8,6,4,3,2,1,5,7] => [4,3,6,2,8,1,5,7] => 0010101
[4,3,8,7,2,5,1,6] => [5,7,4,3,2,1,8,6] => [4,3,8,7,2,5,1,6] => 0011011
[5,8,4,3,7,1,6,2] => [7,6,4,8,5,1,3,2] => [5,8,4,1,6,3,7,2] => 0010111
[5,8,1,4,7,2,6,3] => [8,7,6,1,5,2,4,3] => [5,6,1,7,2,4,8,3] => 0000111
[5,8,1,7,4,2,3,6] => [8,4,2,7,5,3,1,6] => [5,7,4,2,3,8,1,6] => 0010011
[4,3,8,2,7,5,6,1] => [6,8,4,3,7,5,2,1] => [4,3,7,5,8,2,6,1] => 0010111
[1,4,8,3,7,5,6,2] => [1,6,8,4,7,5,3,2] => [1,4,7,5,8,3,6,2] => 0000111
[3,4,8,1,6,2,5,7] => [8,6,3,4,2,1,5,7] => [3,4,6,2,8,1,5,7] => 0000101
[3,4,8,7,2,5,1,6] => [5,7,3,4,2,1,8,6] => [3,4,8,7,2,5,1,6] => 0001011
[3,4,8,2,7,5,6,1] => [6,8,3,4,7,5,2,1] => [3,4,7,5,8,2,6,1] => 0000111
[1,2,4,8,3,6,5,7] => [1,2,8,4,6,3,5,7] => [1,2,4,6,3,8,5,7] => 0000101
[1,2,4,3,8,6,5,7] => [1,2,4,3,6,8,5,7] => [1,2,4,3,8,6,5,7] => 0010101
[3,4,2,1,8,6,5,7] => [2,4,3,1,6,8,5,7] => [3,4,2,1,8,6,5,7] => 1010101
[3,6,7,8,4,1,2,5] => [4,1,3,8,2,6,7,5] => [3,6,7,8,4,1,2,5] => 0010001
[4,1,7,8,5,3,2,6] => [4,3,5,1,8,2,7,6] => [7,8,5,3,1,4,2,6] => 0111001
[4,2,3,1,8,6,5,7] => [3,4,2,1,6,8,5,7] => [4,2,3,1,8,6,5,7] => 0110101
[3,7,8,6,2,4,1,5] => [4,6,3,2,1,8,7,5] => [3,7,8,6,2,4,1,5] => 0010101
[4,2,3,8,1,6,5,7] => [8,4,2,3,6,1,5,7] => [4,2,3,6,1,8,5,7] => 0010101
[1,4,7,8,5,3,2,6] => [1,3,5,4,8,2,7,6] => [1,4,7,8,5,3,2,6] => 0101001
[2,6,8,4,7,3,1,5] => [3,2,7,8,1,6,4,5] => [2,6,8,3,1,7,4,5] => 0100011
[2,4,8,6,3,1,5,7] => [3,2,6,4,1,8,5,7] => [2,4,8,6,3,1,5,7] => 0100101
[7,3,6,8,4,2,1,5] => [2,4,8,7,3,1,6,5] => [7,3,6,8,4,2,1,5] => 1010011
[7,6,2,8,3,5,4,1] => [4,5,6,7,3,8,1,2] => [8,3,7,6,1,5,4,2] => 0011111
[1,7,3,8,4,6,5,2] => [1,5,6,7,8,2,4,3] => [1,8,2,7,4,6,5,3] => 0001111
[2,4,8,3,6,1,5,7] => [6,2,8,4,1,3,5,7] => [2,4,8,1,6,3,5,7] => 0000101
[7,4,1,8,5,2,6,3] => [4,7,5,8,6,1,2,3] => [6,1,8,5,2,7,4,3] => 0011111
[2,4,3,1,8,6,5,7] => [3,2,4,1,6,8,5,7] => [2,4,3,1,8,6,5,7] => 0110101
[1,3,2,4,8,6,5,7] => [1,3,2,4,6,8,5,7] => [1,3,2,4,8,6,5,7] => 0100101
[3,1,2,4,8,6,5,7] => [3,1,2,4,6,8,5,7] => [3,1,2,4,8,6,5,7] => 0100101
[3,1,4,2,8,6,5,7] => [3,4,1,2,6,8,5,7] => [4,1,3,2,8,6,5,7] => 0110101
[3,1,4,8,2,6,5,7] => [3,8,1,4,6,2,5,7] => [4,6,1,3,2,8,5,7] => 0100101
[6,7,2,8,3,5,4,1] => [4,5,7,8,1,6,3,2] => [6,8,1,7,3,5,4,2] => 0011011
[2,3,1,4,8,6,5,7] => [3,2,1,4,6,8,5,7] => [2,3,1,4,8,6,5,7] => 0100101
[1,2,3,4,8,6,5,7] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => 0000101
[4,8,3,6,2,1,5,7] => [2,6,8,4,1,3,5,7] => [4,8,2,1,6,3,5,7] => 1000101
[2,8,4,5,7,3,6,1] => [6,2,7,8,4,3,5,1] => [2,8,4,7,3,5,6,1] => 0000111
[4,8,1,2,5,6,3,7] => [8,1,6,4,2,5,3,7] => [4,6,1,2,5,8,3,7] => 0000101
[8,1,3,5,2,6,4,7] => [8,5,1,6,3,2,4,7] => [6,1,3,5,2,8,4,7] => 0001101
[4,6,8,3,7,2,5,1] => [5,7,8,4,2,6,3,1] => [4,6,8,2,7,3,5,1] => 0001011
[4,7,8,5,3,1,2,6] => [3,1,5,4,8,2,7,6] => [4,7,8,5,3,1,2,6] => 0101001
[1,3,8,6,4,7,5,2] => [1,5,3,7,6,8,2,4] => [1,3,8,6,2,7,5,4] => 0001111
[8,6,2,7,4,1,5,3] => [4,7,6,5,2,8,3,1] => [5,2,8,6,3,7,4,1] => 0011111
[7,6,1,3,4,2,8,5] => [6,4,1,3,7,8,5,2] => [4,1,3,8,5,7,6,2] => 0010111
[1,5,7,3,2,6,8,4] => [1,3,7,8,5,2,6,4] => [1,5,8,3,2,6,7,4] => 0100011
[1,6,7,3,2,5,8,4] => [1,3,7,8,2,6,5,4] => [1,6,8,3,2,5,7,4] => 0100011
[3,2,6,8,5,7,4,1] => [4,3,2,7,8,6,5,1] => [3,2,6,8,5,7,4,1] => 0110011
[7,5,2,3,1,6,8,4] => [3,5,2,7,8,4,6,1] => [8,4,6,7,5,2,3,1] => 0101011
[3,1,7,5,2,8,4,6] => [3,5,1,7,8,2,4,6] => [8,1,3,2,7,5,4,6] => 0101011
[6,4,8,7,2,3,5,1] => [5,7,2,6,3,4,8,1] => [6,2,3,8,7,4,5,1] => 0001111
[3,2,6,8,7,4,5,1] => [5,3,2,7,4,6,8,1] => [3,2,6,8,7,4,5,1] => 0101011
[6,3,2,1,7,8,4,5] => [2,3,6,8,4,1,7,5] => [7,8,4,6,3,2,1,5] => 1100101
[3,7,1,8,4,2,5,6] => [7,4,3,8,2,5,1,6] => [3,8,4,2,5,7,1,6] => 0010011
[4,2,1,3,7,5,8,6] => [2,4,1,3,7,8,5,6] => [4,2,1,3,8,5,7,6] => 1010011
[8,1,3,7,4,2,6,5] => [8,4,1,7,6,2,3,5] => [6,4,1,7,2,3,8,5] => 0010111
[7,3,2,8,1,6,5,4] => [8,3,7,5,6,1,2,4] => [6,5,3,1,7,2,8,4] => 0101111
[3,8,7,2,6,5,4,1] => [4,5,3,6,7,2,8,1] => [3,8,7,2,6,5,4,1] => 0011111
[5,8,1,6,7,2,4,3] => [8,7,4,2,5,1,6,3] => [4,2,5,7,1,6,8,3] => 0010011
[6,2,8,1,5,7,4,3] => [8,6,4,7,1,2,5,3] => [7,4,1,6,2,5,8,3] => 0010111
[5,7,8,2,6,1,4,3] => [6,8,4,1,5,2,7,3] => [4,1,5,7,8,2,6,3] => 0010101
[8,7,2,5,6,4,3,1] => [3,4,6,7,2,5,8,1] => [8,7,2,5,6,4,3,1] => 0110111
[1,2,7,8,5,6,4,3] => [1,2,4,6,8,5,7,3] => [1,2,7,8,5,6,4,3] => 0010101
[7,4,8,1,6,2,5,3] => [8,6,5,7,2,1,4,3] => [7,2,5,1,6,4,8,3] => 0001111
[3,7,1,8,2,6,5,4] => [7,8,3,5,6,2,1,4] => [3,6,5,2,8,1,7,4] => 0001111
[8,2,1,7,6,5,4,3] => [2,8,4,5,6,7,1,3] => [7,6,5,4,2,1,8,3] => 1011111
[8,6,7,5,1,4,3,2] => [5,3,4,1,7,8,6,2] => [4,3,1,8,6,7,5,2] => 0111011
[5,8,4,3,2,1,6,7] => [2,3,4,8,5,1,6,7] => [5,8,4,3,2,1,6,7] => 1110001
[5,4,7,3,2,1,6,8] => [2,3,7,5,4,1,6,8] => [5,4,7,3,2,1,6,8] => 1101010
[5,8,3,6,2,1,4,7] => [2,6,8,1,5,3,4,7] => [5,8,2,1,6,3,4,7] => 1000101
[5,3,7,6,2,1,4,8] => [2,6,5,1,3,7,4,8] => [5,2,1,7,6,3,4,8] => 1001110
[3,8,7,6,2,1,4,5] => [2,6,3,1,4,7,8,5] => [3,8,7,6,2,1,4,5] => 1000111
[4,8,7,2,5,1,3,6] => [5,7,1,4,2,3,8,6] => [4,8,7,1,5,2,3,6] => 0001011
[4,3,7,2,5,1,8,6] => [5,7,4,3,2,8,1,6] => [4,3,8,2,5,1,7,6] => 0011011
[6,4,2,7,5,1,3,8] => [5,4,2,7,6,1,3,8] => [6,4,2,7,5,1,3,8] => 0011110
[6,3,2,7,5,1,4,8] => [5,3,7,2,6,1,4,8] => [6,3,2,7,5,1,4,8] => 0101110
[5,3,2,6,7,1,4,8] => [7,3,5,1,2,6,4,8] => [5,3,1,6,7,2,4,8] => 0101010
[3,8,2,6,5,1,4,7] => [5,6,3,2,8,1,4,7] => [3,8,2,6,5,1,4,7] => 0001101
[6,2,7,8,5,1,3,4] => [5,8,2,3,6,1,7,4] => [6,2,3,7,8,5,1,4] => 0001101
[2,8,7,6,5,1,3,4] => [5,2,1,3,6,7,8,4] => [2,8,7,6,5,1,3,4] => 0001111
[6,5,4,3,1,7,8,2] => [3,4,5,6,8,2,7,1] => [7,8,2,6,5,4,3,1] => 0111101
[6,4,7,3,1,5,8,2] => [3,7,8,6,2,4,5,1] => [6,2,8,4,5,7,3,1] => 0100111
[5,4,7,3,1,8,6,2] => [3,7,6,5,4,8,2,1] => [5,4,8,6,2,7,3,1] => 0101111
[6,4,3,7,1,5,8,2] => [7,8,4,6,1,3,5,2] => [6,4,1,8,3,5,7,2] => 0010111
[6,3,7,8,1,4,5,2] => [8,5,6,1,4,3,7,2] => [6,1,4,5,3,7,8,2] => 0001101
[5,3,7,6,1,4,8,2] => [6,7,5,2,3,8,4,1] => [5,2,8,3,4,7,6,1] => 0001111
[6,5,4,2,1,7,3,8] => [2,4,5,6,7,1,3,8] => [7,2,1,6,5,4,3,8] => 1011110
[4,8,7,2,1,5,3,6] => [2,7,5,4,1,3,8,6] => [4,5,2,1,8,7,3,6] => 1001011
[3,8,7,2,1,4,5,6] => [2,7,3,1,4,5,8,6] => [3,8,7,2,1,4,5,6] => 1000011
[6,5,2,7,1,4,3,8] => [7,5,4,1,6,2,3,8] => [4,1,6,5,2,7,3,8] => 0011110
[5,4,2,6,1,8,3,7] => [6,4,5,8,3,1,2,7] => [8,3,5,4,1,6,2,7] => 0011101
[4,3,2,6,1,5,8,7] => [6,3,4,2,1,5,8,7] => [4,3,2,6,1,5,8,7] => 0110101
[6,2,7,8,1,4,3,5] => [8,6,4,1,3,2,7,5] => [4,1,6,3,7,8,2,5] => 0010101
[3,2,7,6,1,4,5,8] => [6,3,2,1,4,7,5,8] => [3,2,7,6,1,4,5,8] => 0100110
[6,5,4,1,8,7,3,2] => [4,3,5,6,7,1,8,2] => [8,7,3,1,6,5,4,2] => 0111111
[5,8,4,1,6,7,3,2] => [4,3,8,7,5,2,6,1] => [5,7,3,2,6,8,4,1] => 0110011
[5,8,2,1,6,4,3,7] => [2,8,4,6,5,1,3,7] => [5,6,4,2,1,8,3,7] => 1010101
[6,3,2,1,5,4,8,7] => [2,3,6,5,1,4,8,7] => [5,3,2,1,6,4,8,7] => 1101101
[5,3,2,1,6,4,8,7] => [2,3,5,6,1,4,8,7] => [6,3,2,1,5,4,8,7] => 1101101
[6,2,7,1,5,4,3,8] => [7,6,4,5,1,2,3,8] => [5,4,1,6,2,7,3,8] => 0011110
[5,2,7,1,6,4,3,8] => [7,5,4,6,2,1,3,8] => [6,4,2,5,1,7,3,8] => 0011110
[3,2,7,1,5,4,6,8] => [7,3,2,5,1,4,6,8] => [3,2,5,1,7,4,6,8] => 0101010
[6,5,1,7,8,4,3,2] => [5,3,4,6,8,2,7,1] => [7,8,4,3,2,6,5,1] => 0111101
[6,3,1,7,5,4,8,2] => [3,6,8,5,7,2,4,1] => [7,5,2,8,4,6,3,1] => 0101111
[5,3,1,6,7,4,8,2] => [3,5,8,7,2,6,4,1] => [6,7,2,8,4,5,3,1] => 0101011
[2,8,1,6,5,4,3,7] => [8,2,4,5,6,1,3,7] => [2,6,5,4,1,8,3,7] => 0011101
[6,1,7,8,5,4,3,2] => [6,3,4,5,8,1,7,2] => [7,8,5,4,3,1,6,2] => 0111101
[4,1,7,6,5,8,3,2] => [4,3,8,1,6,7,5,2] => [7,6,5,8,3,1,4,2] => 0110111
[3,1,7,6,5,4,8,2] => [3,8,1,5,6,7,4,2] => [7,6,5,4,8,1,3,2] => 0101111
[4,5,8,1,2,6,3,7] => [8,1,6,4,5,2,3,7] => [4,5,6,1,2,8,3,7] => 0000101
[1,7,3,5,6,2,4,8] => [1,6,7,2,3,5,4,8] => [1,7,2,5,6,3,4,8] => 0000110
[8,1,3,5,7,2,4,6] => [8,7,1,2,3,4,5,6] => [7,1,8,2,3,4,5,6] => 0000011
[3,6,8,1,7,2,4,5] => [8,7,3,2,4,6,1,5] => [3,6,7,2,4,8,1,5] => 0000011
[3,4,5,6,8,1,7,2] => [8,7,3,4,5,6,1,2] => [3,4,5,6,7,1,8,2] => 0000011
[4,5,8,2,6,7,1,3] => [7,8,1,4,5,2,6,3] => [4,5,8,1,6,7,2,3] => 0000011
[1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => [1,5,2,3,7,4,6,8] => 0001010
[8,1,2,3,5,4,6,7] => [8,1,2,5,3,4,6,7] => [5,1,2,3,8,4,6,7] => 0001001
[2,7,8,3,5,6,1,4] => [6,2,8,1,3,5,7,4] => [2,7,8,1,5,6,3,4] => 0000101
[2,4,5,7,8,1,6,3] => [8,2,6,4,5,1,7,3] => [2,4,5,6,1,7,8,3] => 0000101
[4,5,8,7,2,1,6,3] => [2,7,6,4,5,1,8,3] => [4,5,6,2,1,8,7,3] => 1000111
[8,7,3,5,6,2,1,4] => [2,6,7,1,3,5,8,4] => [8,7,2,1,5,6,3,4] => 1000111
[8,7,2,1,3,5,4,6] => [2,7,1,5,3,4,8,6] => [5,2,1,3,8,7,4,6] => 1001011
[3,6,8,7,2,1,5,4] => [2,7,3,5,1,6,8,4] => [3,5,2,1,6,8,7,4] => 1001011
[8,6,4,1,7,5,3,2] => [4,3,6,5,8,7,1,2] => [7,5,3,1,8,6,4,2] => 0111111
[2,3,6,7,8,1,5,4] => [8,2,3,5,1,6,7,4] => [2,3,5,1,6,7,8,4] => 0001001
[3,6,8,1,2,5,4,7] => [8,1,3,5,2,6,4,7] => [3,5,1,2,6,8,4,7] => 0001001
[1,3,6,7,2,5,4,8] => [1,7,3,5,2,6,4,8] => [1,3,5,2,6,7,4,8] => 0001010
[7,4,1,8,5,2,3,6] => [4,7,1,5,8,3,2,6] => [8,5,1,3,7,4,2,6] => 0011011
[7,1,4,2,8,3,6,5] => [7,4,8,1,6,3,2,5] => [6,1,4,3,8,2,7,5] => 0010111
[8,1,7,5,4,2,3,6] => [8,4,2,5,7,3,1,6] => [7,5,4,2,3,8,1,6] => 0011011
[1,7,6,3,2,5,4,8] => [1,3,6,5,2,7,4,8] => [1,5,3,2,7,6,4,8] => 0101110
[8,6,3,1,2,5,4,7] => [3,1,6,5,2,8,4,7] => [5,3,1,2,8,6,4,7] => 0101101
[8,1,7,6,3,2,4,5] => [8,3,6,2,4,7,1,5] => [7,6,3,2,4,8,1,5] => 0100111
[2,7,8,6,3,1,5,4] => [3,2,6,5,1,8,7,4] => [2,5,3,1,7,8,6,4] => 0101101
[7,3,1,8,6,5,4,2] => [3,7,4,5,6,8,2,1] => [8,6,5,4,2,7,3,1] => 0111111
[8,7,6,3,2,1,5,4] => [2,3,6,5,1,7,8,4] => [5,3,2,1,8,7,6,4] => 1101111
[2,1,8,6,3,7,4,5] => [2,1,6,8,3,7,4,5] => [2,1,7,3,8,6,4,5] => 1000111
[2,1,7,5,4,3,8,6] => [2,1,4,5,7,8,3,6] => [2,1,8,5,4,3,7,6] => 1011011
[2,1,7,8,3,6,5,4] => [2,1,8,5,6,3,7,4] => [2,1,6,5,3,7,8,4] => 1001101
[2,1,8,5,7,6,3,4] => [2,1,6,3,7,8,4,5] => [2,1,8,3,4,7,6,5] => 1000111
[2,1,4,8,5,7,3,6] => [2,1,7,4,8,3,5,6] => [2,1,4,8,3,7,5,6] => 1000011
[7,5,1,4,6,8,3,2] => [5,3,7,2,8,4,6,1] => [8,3,2,4,6,7,5,1] => 0101011
[6,4,1,5,2,3,8,7] => [4,6,1,5,2,3,8,7] => [5,1,6,4,2,3,8,7] => 0011101
[5,3,7,4,6,8,1,2] => [8,1,5,7,3,4,6,2] => [7,3,5,4,6,8,1,2] => 0001011
[5,8,3,7,6,2,1,4] => [2,6,7,3,5,8,1,4] => [5,8,3,7,6,2,1,4] => 1000111
[5,2,4,8,6,3,1,7] => [3,6,5,1,4,8,2,7] => [5,1,4,8,6,3,2,7] => 0101101
[4,2,6,3,8,5,1,7] => [5,4,8,2,6,1,3,7] => [6,2,4,1,8,5,3,7] => 0011101
[3,8,2,4,7,5,1,6] => [5,7,3,1,8,2,4,6] => [3,8,1,7,5,2,4,6] => 0001011
[6,3,8,1,5,7,4,2] => [8,4,7,6,1,2,5,3] => [6,1,7,4,2,5,8,3] => 0010111
[8,3,2,4,1,7,5,6] => [4,3,8,2,7,5,1,6] => [7,5,8,3,2,4,1,6] => 0110011
[6,2,3,1,4,5,8,7] => [3,6,2,1,4,5,8,7] => [6,2,3,1,4,5,8,7] => 0100101
[5,6,1,4,3,2,8,7] => [6,3,4,1,5,2,8,7] => [4,3,1,5,6,2,8,7] => 0110101
[8,7,5,1,3,4,2,6] => [5,4,1,3,7,2,8,6] => [4,1,3,8,7,5,2,6] => 0011011
[5,8,1,6,3,7,4,2] => [8,4,7,6,5,1,2,3] => [5,6,1,7,4,2,8,3] => 0010111
[7,5,4,8,2,1,3,6] => [2,8,1,5,7,3,4,6] => [7,5,2,1,3,8,4,6] => 1001011
[8,3,6,4,5,1,2,7] => [5,1,8,6,4,3,2,7] => [6,4,8,3,5,1,2,7] => 0001101
[6,3,5,4,1,2,8,7] => [4,1,5,6,2,3,8,7] => [6,1,2,5,4,3,8,7] => 0011101
[2,6,3,5,1,4,8,7] => [5,2,6,1,3,4,8,7] => [2,6,1,5,3,4,8,7] => 0001101
[8,7,3,6,5,1,4,2] => [5,4,6,3,7,1,8,2] => [8,7,3,4,1,6,5,2] => 0011111
[2,8,3,4,6,1,5,7] => [6,2,8,3,1,4,5,7] => [2,8,3,6,1,4,5,7] => 0000101
[3,4,7,2,8,1,5,6] => [8,7,3,4,1,5,2,6] => [3,4,7,1,5,8,2,6] => 0000011
[4,2,3,5,8,1,6,7] => [8,4,2,3,5,1,6,7] => [4,2,3,5,8,1,6,7] => 0010001
[3,2,8,4,7,1,6,5] => [7,3,2,8,6,1,4,5] => [3,2,6,1,8,4,7,5] => 0100111
[3,8,4,7,1,6,5,2] => [7,5,3,6,8,1,2,4] => [3,8,1,6,5,2,7,4] => 0001111
[3,2,4,5,6,8,1,7] => [8,3,2,4,5,6,1,7] => [3,2,4,5,6,8,1,7] => 0100001
[1,3,5,7,8,6,2,4] => [1,6,3,2,5,8,7,4] => [1,3,5,7,8,6,2,4] => 0000101
[3,5,7,8,6,1,2,4] => [6,1,3,2,5,8,7,4] => [3,5,7,8,6,1,2,4] => 0000101
[3,5,1,6,8,2,7,4] => [5,8,3,7,1,6,2,4] => [3,6,7,1,8,2,5,4] => 0001011
[3,1,5,6,8,2,7,4] => [3,8,1,7,5,6,2,4] => [5,6,7,1,3,2,8,4] => 0100011
[2,3,5,6,8,1,7,4] => [8,2,3,7,5,6,1,4] => [2,3,5,6,7,1,8,4] => 0000011
[5,1,6,3,8,4,7,2] => [5,7,6,8,1,3,4,2] => [8,1,6,3,7,4,5,2] => 0001111
[5,1,2,6,8,3,7,4] => [5,1,8,7,2,6,3,4] => [6,7,1,2,8,3,5,4] => 0001011
[2,6,7,5,1,8,3,4] => [5,2,7,1,8,6,3,4] => [2,6,8,1,7,5,3,4] => 0001011
[5,7,2,8,6,1,3,4] => [6,8,2,3,5,7,1,4] => [5,7,2,3,8,6,1,4] => 0000111
[3,5,7,8,6,2,1,4] => [2,6,3,1,5,8,7,4] => [3,5,7,8,6,2,1,4] => 1000101
[1,2,6,7,5,8,3,4] => [1,2,8,3,7,6,5,4] => [1,2,6,7,5,8,3,4] => 0000011
[6,2,7,5,4,1,8,3] => [4,5,7,6,8,1,3,2] => [8,1,6,3,7,5,4,2] => 0011111
[6,7,5,2,4,1,8,3] => [4,5,7,3,8,6,1,2] => [6,8,3,7,5,1,4,2] => 0011011
[6,7,2,5,3,8,1,4] => [8,7,5,1,2,6,3,4] => [5,1,6,7,2,8,3,4] => 0001011
[6,7,4,5,2,1,8,3] => [2,5,8,7,4,6,1,3] => [6,7,4,8,2,1,5,3] => 1001011
[2,5,7,8,6,3,1,4] => [3,2,6,1,5,8,7,4] => [2,5,7,8,6,3,1,4] => 0100101
[6,3,7,5,1,8,2,4] => [5,7,8,3,6,1,2,4] => [6,3,8,1,7,5,2,4] => 0001111
[5,7,8,6,4,1,2,3] => [4,1,2,6,5,8,7,3] => [5,7,8,6,4,1,2,3] => 0010101
[2,4,7,1,5,6,8,3] => [7,2,8,4,1,5,6,3] => [2,4,8,1,5,6,7,3] => 0000011
[1,6,7,4,5,2,8,3] => [1,5,8,7,4,6,2,3] => [1,6,7,4,8,2,5,3] => 0001011
[1,6,3,7,5,8,2,4] => [1,8,6,2,7,3,5,4] => [1,7,2,6,5,8,3,4] => 0000111
[2,5,3,7,8,6,1,4] => [6,2,5,1,3,8,7,4] => [2,5,1,7,8,6,3,4] => 0001101
[6,7,4,2,5,1,8,3] => [5,4,7,8,3,6,1,2] => [6,8,3,7,4,1,5,2] => 0011011
[6,2,7,4,5,1,8,3] => [5,6,8,7,4,2,1,3] => [7,4,8,2,6,1,5,3] => 0001111
[6,2,3,7,5,8,1,4] => [8,6,2,1,7,3,5,4] => [7,2,6,5,8,1,3,4] => 0000111
[4,5,1,6,3,2,8,7] => [5,3,6,4,1,2,8,7] => [4,6,3,1,5,2,8,7] => 0101101
[7,5,1,6,3,8,2,4] => [5,7,8,3,6,2,1,4] => [6,3,8,2,7,5,1,4] => 0001111
[7,3,5,1,8,2,6,4] => [5,8,7,6,3,2,1,4] => [6,3,7,2,8,1,5,4] => 0001111
[3,7,5,1,8,6,2,4] => [5,7,3,1,6,8,2,4] => [3,8,6,1,7,5,2,4] => 0001111
[2,1,6,7,3,8,5,4] => [2,1,7,5,8,6,3,4] => [2,1,6,8,5,3,7,4] => 1001011
[3,6,5,1,8,4,7,2] => [5,6,3,7,8,2,1,4] => [3,8,2,7,1,6,5,4] => 0001111
[3,7,5,4,8,1,2,6] => [8,1,3,5,7,2,4,6] => [3,7,5,1,2,8,4,6] => 0001011
[4,6,1,5,8,2,7,3] => [6,8,7,4,1,5,2,3] => [4,7,1,5,8,2,6,3] => 0000111
[7,5,1,6,2,8,3,4] => [5,7,6,1,8,2,3,4] => [8,1,6,2,7,5,3,4] => 0001111
[4,7,1,5,8,3,6,2] => [7,6,8,4,1,3,5,2] => [4,8,1,6,3,5,7,2] => 0000111
[2,3,4,7,8,1,6,5] => [8,2,3,4,6,1,7,5] => [2,3,4,6,1,7,8,5] => 0000101
[6,8,5,4,3,2,7,1] => [7,3,4,5,8,6,2,1] => [6,8,5,4,3,2,7,1] => 0111011
[10,11,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,11,10,1] => [10,11,9,8,7,6,5,4,3,2,1] => 1111111101
[5,8,4,3,2,1,7,6] => [2,3,4,8,5,7,1,6] => [5,7,4,3,2,1,8,6] => 1110011
[6,5,4,3,1,8,7,2] => [3,4,5,6,7,2,8,1] => [8,7,2,6,5,4,3,1] => 0111111
[8,7,5,4,3,1,6,2] => [3,4,5,7,6,2,8,1] => [6,2,8,7,5,4,3,1] => 0111111
[11,10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,11,2] => [11,10,9,8,7,6,5,4,3,1,2] => 0111111111
[2,4,5,7,3,8,6,1] => [6,2,8,4,5,7,1,3] => [2,4,5,7,1,8,6,3] => 0000111
[2,5,6,1,8,4,3,7] => [6,2,4,8,5,1,3,7] => [2,5,8,4,1,6,3,7] => 0010101
[6,4,7,3,2,8,5,1] => [5,3,8,7,6,1,4,2] => [6,3,1,7,4,8,5,2] => 0101111
[6,1,4,7,3,2,8,5] => [6,3,7,1,8,4,2,5] => [8,3,1,4,7,2,6,5] => 0100111
[5,1,7,3,8,4,2,6] => [5,4,8,7,1,3,2,6] => [7,1,8,4,3,5,2,6] => 0011011
[2,5,1,7,4,3,8,6] => [5,2,4,7,1,8,3,6] => [2,8,4,1,5,3,7,6] => 0011011
[5,3,7,1,4,8,6,2] => [7,6,5,1,3,8,4,2] => [5,1,8,6,3,4,7,2] => 0001111
[6,4,3,1,7,8,5,2] => [3,4,6,5,8,1,7,2] => [7,8,5,1,6,4,3,2] => 0111101
[6,4,1,7,3,8,5,2] => [4,6,5,8,7,2,3,1] => [7,2,8,5,3,6,4,1] => 0011111
[5,1,6,3,7,8,4,2] => [5,4,8,6,1,2,7,3] => [6,1,7,8,4,2,5,3] => 0011101
[5,6,1,3,7,8,4,2] => [6,4,1,8,5,3,7,2] => [5,7,8,4,1,3,6,2] => 0010101
[1,6,3,7,4,8,5,2] => [1,5,8,6,7,4,2,3] => [1,7,4,6,2,8,5,3] => 0001111
[6,7,2,4,1,8,5,3] => [4,7,5,2,8,6,1,3] => [6,8,5,2,7,1,4,3] => 0011011
[5,6,3,1,2,7,8,4] => [3,1,6,8,5,2,7,4] => [5,7,8,3,1,2,6,4] => 0100101
[5,6,3,2,1,7,8,4] => [2,3,6,8,5,1,7,4] => [5,7,8,3,2,1,6,4] => 1100101
[2,5,6,3,7,8,4,1] => [4,2,8,6,5,1,7,3] => [2,5,6,1,7,8,4,3] => 0010101
[2,5,6,3,1,7,8,4] => [3,2,6,8,5,1,7,4] => [2,5,7,8,3,1,6,4] => 0100101
[6,3,7,2,8,4,5,1] => [5,7,6,8,4,3,2,1] => [8,4,6,3,7,2,5,1] => 0001111
[6,3,7,2,8,4,1,5] => [4,8,7,6,2,1,3,5] => [6,2,7,1,8,4,3,5] => 0010111
[7,3,8,4,2,1,5,6] => [2,4,8,7,3,5,1,6] => [7,3,5,8,4,2,1,6] => 1010011
[7,3,8,4,6,2,1,5] => [2,6,7,8,1,4,3,5] => [8,2,1,7,4,6,3,5] => 1000111
[5,7,3,8,2,1,6,4] => [2,8,7,6,5,1,3,4] => [5,6,2,1,7,3,8,4] => 1000111
[5,1,6,7,8,2,4,3] => [5,8,4,2,1,6,7,3] => [4,2,6,7,8,1,5,3] => 0011001
[6,3,7,1,8,5,2,4] => [7,5,8,3,6,2,1,4] => [6,3,8,5,2,7,1,4] => 0001111
[6,2,7,1,8,5,4,3] => [7,6,4,5,8,2,1,3] => [8,5,4,2,6,1,7,3] => 0011111
[4,1,3,6,8,2,5,7] => [4,8,1,3,2,6,5,7] => [6,8,1,3,4,2,5,7] => 0010001
[4,2,3,6,8,1,5,7] => [8,4,2,3,1,6,5,7] => [4,2,3,6,8,1,5,7] => 0010001
[4,5,2,1,3,8,7,6] => [2,5,1,4,3,7,8,6] => [4,5,2,1,3,8,7,6] => 1001011
[3,2,6,4,5,8,1,7] => [8,3,2,6,4,5,1,7] => [3,2,6,4,5,8,1,7] => 0100101
[2,4,6,5,8,1,3,7] => [8,2,1,4,6,5,3,7] => [2,4,6,5,8,1,3,7] => 0000101
[1,6,3,4,5,8,2,7] => [1,8,6,3,4,5,2,7] => [1,6,3,4,5,8,2,7] => 0000101
[2,8,4,1,7,6,3,5] => [4,2,8,6,1,7,3,5] => [2,7,6,1,8,4,3,5] => 0010111
[1,5,3,2,8,7,4,6] => [1,3,5,7,2,4,8,6] => [1,8,7,3,2,5,4,6] => 0101011
[1,7,6,4,5,8,3,2] => [1,3,8,6,4,7,5,2] => [1,7,6,4,5,8,3,2] => 0100111
[4,1,3,5,6,8,7,2] => [4,7,1,3,5,6,8,2] => [5,6,8,7,1,3,4,2] => 0010011
[2,4,8,6,7,1,3,5] => [7,2,1,4,3,8,6,5] => [2,4,8,6,7,1,3,5] => 0000011
[3,7,4,8,2,1,6,5] => [2,8,3,7,6,1,4,5] => [3,6,2,1,7,4,8,5] => 1000111
[2,3,5,8,6,7,1,4] => [7,2,3,1,5,8,6,4] => [2,3,5,8,6,7,1,4] => 0000011
[2,1,8,5,6,7,3,4] => [2,1,7,3,8,5,6,4] => [2,1,8,5,6,7,3,4] => 1000011
[3,2,6,4,8,1,7,5] => [8,3,2,6,7,4,1,5] => [3,2,7,4,6,1,8,5] => 0100111
[8,2,1,6,7,3,4,5] => [2,8,7,3,4,1,6,5] => [7,3,4,6,8,2,1,5] => 1000011
[2,7,8,5,4,1,3,6] => [4,2,1,5,8,3,7,6] => [2,7,8,5,4,1,3,6] => 0011001
[4,7,5,3,1,2,8,6] => [3,1,5,4,7,8,2,6] => [4,8,5,3,1,2,7,6] => 0101011
[3,5,2,7,4,1,8,6] => [4,7,3,5,1,8,2,6] => [3,5,1,8,4,2,7,6] => 0011011
[8,4,2,3,7,1,5,6] => [7,4,2,8,1,5,3,6] => [8,4,2,5,7,1,3,6] => 0010011
[8,2,4,6,7,1,3,5] => [7,8,1,2,3,4,6,5] => [8,1,6,7,2,3,4,5] => 0000011
[3,5,2,7,6,1,8,4] => [6,5,3,7,2,8,4,1] => [3,8,2,5,4,7,6,1] => 0001111
[1,6,3,2,5,8,7,4] => [1,3,6,7,2,5,8,4] => [1,8,7,3,2,5,6,4] => 0100111
[5,8,3,2,1,6,7,4] => [2,3,8,7,5,1,6,4] => [5,7,3,2,1,6,8,4] => 1100011
[4,2,5,6,8,7,1,3] => [7,4,1,2,5,6,8,3] => [4,1,5,6,8,7,2,3] => 0010011
[1,8,4,2,5,6,7,3] => [1,4,8,7,3,5,6,2] => [1,7,3,5,6,8,4,2] => 0010011
[4,2,8,5,6,7,1,3] => [7,4,1,2,8,5,6,3] => [4,1,8,5,6,7,2,3] => 0010011
[8,1,3,6,5,2,4,7] => [8,5,1,2,6,3,4,7] => [6,5,1,8,2,3,4,7] => 0001101
[8,1,4,3,6,5,2,7] => [8,5,4,1,6,3,2,7] => [4,1,6,5,3,8,2,7] => 0011101
[8,3,2,4,6,5,1,7] => [5,3,6,1,8,4,2,7] => [8,3,1,4,6,5,2,7] => 0101101
[8,4,2,1,6,5,3,7] => [2,4,8,5,6,3,1,7] => [6,5,3,8,4,2,1,7] => 1011101
[8,4,1,2,6,5,3,7] => [4,1,8,5,6,3,2,7] => [6,5,3,8,4,1,2,7] => 0011101
[1,3,4,8,5,7,2,6] => [1,7,3,4,8,2,5,6] => [1,3,4,8,2,7,5,6] => 0000011
[1,3,5,2,4,8,7,6] => [1,5,3,2,4,7,8,6] => [1,3,5,2,4,8,7,6] => 0001011
[4,7,1,6,5,8,3,2] => [7,3,8,4,6,1,5,2] => [4,6,3,1,8,5,7,2] => 0100111
[4,3,1,5,8,6,7,2] => [3,4,7,2,5,8,6,1] => [5,8,6,7,2,4,3,1] => 0110011
[4,1,3,5,8,6,7,2] => [4,7,1,3,5,8,6,2] => [5,8,6,7,1,3,4,2] => 0010011
[5,4,2,1,6,8,7,3] => [2,4,5,7,3,6,8,1] => [6,8,7,3,5,4,2,1] => 1011011
[6,8,4,3,2,7,1,5] => [7,3,4,8,1,6,2,5] => [6,8,4,3,1,7,2,5] => 0110011
[2,4,7,3,8,1,6,5] => [8,2,7,4,6,1,3,5] => [2,4,6,1,7,3,8,5] => 0000111
[3,5,1,7,8,4,2,6] => [5,4,3,8,1,2,7,6] => [3,7,8,4,1,5,2,6] => 0011001
[2,7,4,5,8,3,1,6] => [3,2,8,7,4,1,5,6] => [2,7,4,8,3,1,5,6] => 0100011
[1,8,4,3,7,2,6,5] => [1,7,4,8,6,2,3,5] => [1,6,4,2,8,3,7,5] => 0010111
[5,4,7,8,3,6,2,1] => [2,6,8,5,4,3,7,1] => [5,4,7,8,3,6,2,1] => 1001101
[6,3,8,7,4,1,2,5] => [4,1,7,6,3,2,8,5] => [6,3,8,7,4,1,2,5] => 0010111
[3,5,7,2,4,8,1,6] => [8,7,3,2,5,1,4,6] => [3,5,7,2,8,1,4,6] => 0000011
[8,4,7,2,1,3,5,6] => [2,7,1,8,3,5,4,6] => [8,2,1,3,5,7,4,6] => 1000011
[8,6,4,2,1,3,7,5] => [2,4,1,6,8,7,5,3] => [7,5,8,6,4,2,1,3] => 1010111
[8,6,4,1,3,2,7,5] => [4,3,1,6,8,7,5,2] => [3,1,7,5,8,6,4,2] => 0110111
[3,5,7,2,6,1,8,4] => [6,7,3,8,5,2,1,4] => [3,5,8,2,7,1,6,4] => 0000111
[6,1,3,8,5,7,2,4] => [6,7,1,2,8,3,5,4] => [8,1,7,5,6,2,3,4] => 0000111
[5,8,3,2,6,7,1,4] => [7,3,8,1,5,2,6,4] => [5,8,3,1,6,7,2,4] => 0100011
[4,8,5,3,6,2,7,1] => [7,6,5,4,8,3,2,1] => [4,8,5,3,6,2,7,1] => 0001111
[2,1,7,6,4,5,8,3] => [2,1,8,6,4,7,5,3] => [2,1,7,6,4,5,8,3] => 1000111
[1,7,2,4,6,5,8,3] => [1,7,8,2,6,4,5,3] => [1,6,2,4,8,5,7,3] => 0000111
[3,5,1,7,6,8,2,4] => [5,8,3,2,1,7,6,4] => [3,7,6,8,2,5,1,4] => 0001011
[5,8,2,6,1,3,7,4] => [6,8,1,7,5,2,3,4] => [5,7,1,8,2,3,6,4] => 0000111
[6,3,5,8,7,2,1,4] => [2,7,6,1,3,5,8,4] => [6,2,1,5,8,7,3,4] => 1000111
[2,5,7,8,4,1,6,3] => [4,2,8,6,5,3,7,1] => [2,5,6,3,7,8,4,1] => 0010101
[3,4,5,1,6,8,7,2] => [5,7,3,4,1,6,8,2] => [3,4,6,8,7,1,5,2] => 0001011
[2,7,1,8,5,4,6,3] => [7,2,6,5,8,4,1,3] => [2,8,5,4,6,1,7,3] => 0001111
[5,8,6,2,1,3,7,4] => [2,6,1,8,5,7,4,3] => [5,7,4,8,6,2,1,3] => 1000111
[3,4,5,1,8,6,7,2] => [5,7,3,4,1,8,6,2] => [3,4,8,6,7,1,5,2] => 0001011
[3,8,1,4,5,6,7,2] => [8,7,3,1,4,5,6,2] => [3,7,1,4,5,6,8,2] => 0000011
[3,4,5,7,1,8,6,2] => [7,6,3,4,5,8,1,2] => [3,4,5,8,6,1,7,2] => 0000111
[3,4,6,2,8,5,1,7] => [5,8,3,4,6,1,2,7] => [3,4,6,1,8,5,2,7] => 0001101
[3,4,8,2,1,5,6,7] => [2,8,3,4,1,5,6,7] => [3,4,8,2,1,5,6,7] => 1000001
[3,5,2,6,7,8,1,4] => [8,5,3,1,2,6,7,4] => [3,5,1,6,7,8,2,4] => 0001001
[3,5,6,8,4,1,2,7] => [4,1,3,8,5,6,2,7] => [3,5,6,8,4,1,2,7] => 0010001
[3,5,7,2,4,8,6,1] => [6,8,3,1,5,7,4,2] => [3,5,7,1,4,8,6,2] => 0000111
[3,5,7,2,8,4,6,1] => [6,7,3,8,5,4,2,1] => [3,5,8,4,7,2,6,1] => 0000111
[3,5,7,8,4,1,6,2] => [4,8,3,6,5,2,7,1] => [3,5,6,2,7,8,4,1] => 0010101
[3,6,2,1,7,8,5,4] => [2,6,3,5,8,1,7,4] => [3,7,8,5,2,1,6,4] => 1001101
[3,6,7,2,4,8,5,1] => [5,8,3,1,7,6,4,2] => [3,6,7,1,4,8,5,2] => 0001011
[3,6,7,8,4,5,1,2] => [5,1,3,8,4,6,7,2] => [3,6,7,8,4,5,1,2] => 0001001
[3,6,8,2,4,5,1,7] => [5,8,3,2,4,6,1,7] => [3,6,8,2,4,5,1,7] => 0001001
[3,7,2,8,4,5,6,1] => [6,7,3,8,4,5,2,1] => [3,8,4,5,7,2,6,1] => 0000111
[3,8,2,1,4,5,6,7] => [2,8,3,1,4,5,6,7] => [3,8,2,1,4,5,6,7] => 1000001
[4,1,5,6,7,8,3,2] => [4,3,8,1,5,6,7,2] => [5,6,7,8,3,1,4,2] => 0110001
[4,1,6,3,7,8,5,2] => [4,5,8,1,6,2,7,3] => [6,1,7,8,5,2,4,3] => 0011101
[4,1,6,3,8,5,2,7] => [4,5,8,1,6,2,3,7] => [6,1,8,5,2,4,3,7] => 0011101
[4,1,6,7,3,8,5,2] => [4,5,8,1,7,6,2,3] => [6,7,1,8,5,2,4,3] => 0011011
[4,1,6,7,8,5,2,3] => [4,5,2,1,8,6,7,3] => [6,7,8,5,2,4,1,3] => 0011001
[4,1,7,3,2,8,6,5] => [4,3,7,1,6,8,2,5] => [8,6,3,1,4,2,7,5] => 0110111
[4,1,7,8,3,5,6,2] => [4,6,8,1,3,5,7,2] => [7,8,1,5,6,3,4,2] => 0010101
[4,5,2,6,8,1,3,7] => [8,5,1,4,2,6,3,7] => [4,5,1,6,8,2,3,7] => 0001001
[4,5,6,3,8,1,2,7] => [8,1,6,4,5,3,2,7] => [4,5,6,3,8,1,2,7] => 0000101
[4,5,6,8,3,1,2,7] => [3,1,8,4,5,6,2,7] => [4,5,6,8,3,1,2,7] => 0100001
[4,5,7,3,8,1,6,2] => [8,6,7,4,5,1,3,2] => [4,5,7,1,6,3,8,2] => 0000111
[4,6,2,3,7,8,5,1] => [5,8,1,4,6,3,7,2] => [4,6,1,3,7,8,5,2] => 0001101
[4,6,2,3,8,5,1,7] => [5,8,1,4,6,3,2,7] => [4,6,1,3,8,5,2,7] => 0001101
[4,6,7,3,2,8,5,1] => [5,3,8,4,7,6,1,2] => [4,6,7,3,1,8,5,2] => 0101011
[4,7,2,3,1,8,6,5] => [3,7,2,4,6,8,1,5] => [4,8,6,2,3,1,7,5] => 0100111
[4,7,2,8,3,5,6,1] => [6,7,8,4,3,5,2,1] => [4,8,3,5,7,2,6,1] => 0000111
[4,7,8,3,2,5,6,1] => [6,3,8,4,2,5,7,1] => [4,7,8,3,2,5,6,1] => 0100101
[5,1,2,6,8,4,3,7] => [5,1,4,8,2,6,3,7] => [6,8,4,1,2,5,3,7] => 0011001
[5,1,6,7,4,8,2,3] => [5,8,2,7,1,6,4,3] => [6,7,2,8,4,5,1,3] => 0001011
[5,6,2,7,8,4,1,3] => [4,8,2,6,5,1,7,3] => [5,6,2,7,8,4,1,3] => 0010101
[5,6,8,3,4,2,1,7] => [2,4,8,3,5,6,1,7] => [5,6,8,3,4,2,1,7] => 1010001
[5,7,8,3,4,2,6,1] => [6,4,8,3,5,2,7,1] => [5,7,8,3,4,2,6,1] => 0010101
[5,8,2,3,4,1,6,7] => [4,8,2,3,5,1,6,7] => [5,8,2,3,4,1,6,7] => 0010001
[6,1,7,3,4,8,5,2] => [6,5,8,2,7,1,4,3] => [7,2,8,5,1,4,6,3] => 0001111
[6,7,2,8,4,5,3,1] => [3,5,7,8,4,6,1,2] => [6,8,4,7,1,5,3,2] => 0101011
[6,8,2,3,4,5,1,7] => [5,8,2,3,4,6,1,7] => [6,8,2,3,4,5,1,7] => 0001001
[7,1,2,3,4,8,6,5] => [7,1,2,3,6,8,4,5] => [8,6,1,2,3,4,7,5] => 0000111
[5,8,1,2,4,3,7,6] => [8,1,4,2,5,7,3,6] => [4,1,2,5,7,3,8,6] => 0010011
[1,3,5,7,2,6,4,8] => [1,7,3,6,5,2,4,8] => [1,3,5,6,2,7,4,8] => 0000110
[2,6,1,3,8,4,7,5] => [6,2,1,8,7,3,4,5] => [2,7,1,3,8,4,6,5] => 0000111
[1,7,5,2,3,4,6,8] => [1,5,2,3,7,4,6,8] => [1,7,5,2,3,4,6,8] => 0001010
[2,7,5,1,3,8,4,6] => [5,2,1,7,8,3,4,6] => [2,8,1,3,7,5,4,6] => 0001011
[8,2,5,1,3,7,4,6] => [5,8,1,7,2,4,3,6] => [7,1,8,4,5,2,3,6] => 0001011
[8,2,7,5,3,1,6,4] => [3,5,7,8,6,1,4,2] => [6,1,8,4,7,5,3,2] => 0101111
[7,1,8,6,3,2,4,5] => [7,3,6,2,4,8,1,5] => [8,6,3,2,4,7,1,5] => 0100111
[6,8,1,5,3,2,4,7] => [8,3,5,2,1,6,4,7] => [5,3,2,6,8,1,4,7] => 0101001
[1,6,7,5,3,2,4,8] => [1,3,5,2,7,6,4,8] => [1,6,7,5,3,2,4,8] => 0101010
[6,5,1,2,4,8,3,7] => [5,1,6,3,8,4,2,7] => [8,3,4,6,5,1,2,7] => 0001101
[7,8,1,6,4,2,3,5] => [8,4,2,6,3,1,7,5] => [6,4,2,3,7,8,1,5] => 0010101
[8,4,1,2,5,6,3,7] => [4,1,8,6,3,5,2,7] => [6,3,5,8,4,1,2,7] => 0010101
[1,7,3,6,5,2,4,8] => [1,5,6,3,7,2,4,8] => [1,7,3,6,5,2,4,8] => 0001110
[7,8,4,2,5,6,1,3] => [6,4,1,8,2,5,7,3] => [7,8,4,1,5,6,2,3] => 0010101
[8,2,7,4,5,6,1,3] => [6,8,1,7,4,5,2,3] => [7,4,5,8,1,6,2,3] => 0000111
[7,9,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,9,1] => [7,9,8,6,5,4,3,2,1] => 11111011
[6,9,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,9,1] => [6,9,8,7,5,4,3,2,1] => 11110111
[5,9,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,9,1] => [5,9,8,7,6,4,3,2,1] => 11101111
[3,9,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,9,1] => [3,9,8,7,6,5,4,2,1] => 10111111
[2,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,1] => [2,9,8,7,6,5,4,3,1] => 01111111
[6,10,9,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,9,10,1] => [6,10,9,8,7,5,4,3,2,1] => 111101111
[5,10,9,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,9,10,1] => [5,10,9,8,7,6,4,3,2,1] => 111011111
[1,8,7,6,5,3,2,4] => [1,3,5,2,6,7,8,4] => [1,8,7,6,5,3,2,4] => 0101111
[1,8,7,6,5,2,3,4] => [1,5,2,3,6,7,8,4] => [1,8,7,6,5,2,3,4] => 0001111
[1,9,8,7,6,5,4,2,3] => [1,4,2,5,6,7,8,9,3] => [1,9,8,7,6,5,4,2,3] => 00111111
[2,10,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,10,1] => [2,10,9,8,7,6,5,4,3,1] => 011111111
[7,2,8,6,5,4,1,3] => [4,5,2,6,8,7,1,3] => [7,2,8,6,5,4,1,3] => 0011111
[8,4,7,2,5,6,3,1] => [3,6,7,8,1,5,4,2] => [8,1,5,7,4,6,3,2] => 0100111
[5,8,6,4,1,3,7,2] => [4,6,1,8,5,7,3,2] => [5,7,1,3,8,6,4,2] => 0010111
[4,8,6,1,5,3,7,2] => [6,8,5,4,2,7,3,1] => [4,5,2,7,3,8,6,1] => 0001111
[3,6,1,8,5,2,7,4] => [6,5,3,8,7,1,4,2] => [3,7,1,8,5,4,6,2] => 0001111
[7,2,5,8,3,6,1,4] => [6,7,8,1,2,3,5,4] => [8,1,7,2,5,6,3,4] => 0000111
[1,7,5,6,3,4,2,8] => [1,4,6,3,7,5,2,8] => [1,7,5,6,3,4,2,8] => 0010110
[1,5,7,4,2,6,3,8] => [1,4,7,6,5,3,2,8] => [1,5,6,3,7,4,2,8] => 0010110
[6,8,3,4,5,1,7,2] => [5,7,8,3,4,6,1,2] => [6,8,3,4,7,1,5,2] => 0001011
[1,6,3,2,5,8,4,7] => [1,3,6,8,2,5,4,7] => [1,8,3,2,5,6,4,7] => 0100101
[8,3,2,1,5,4,7,6] => [2,3,8,5,1,7,4,6] => [5,3,2,1,7,4,8,6] => 1101011
[6,2,5,4,8,1,3,7] => [8,6,1,5,2,4,3,7] => [5,1,6,4,8,2,3,7] => 0001101
[8,3,4,1,5,2,7,6] => [4,5,8,3,1,7,2,6] => [7,3,5,1,4,2,8,6] => 0011011
[7,3,8,4,5,2,1,6] => [2,5,7,8,4,1,3,6] => [8,4,7,2,1,5,3,6] => 1001011
[8,7,2,1,5,3,4,6] => [2,7,5,3,1,4,8,6] => [5,3,8,7,2,1,4,6] => 1001011
[5,4,6,8,1,2,7,3] => [8,1,7,5,4,6,2,3] => [5,4,6,7,1,2,8,3] => 0001011
[6,8,4,1,3,5,7,2] => [4,8,2,7,3,6,5,1] => [6,7,2,3,5,8,4,1] => 0010011
[3,4,7,8,6,2,5,1] => [5,6,3,4,2,8,7,1] => [3,4,7,8,6,2,5,1] => 0001101
[4,1,3,5,7,8,6,2] => [4,6,1,3,5,8,7,2] => [5,7,8,6,1,3,4,2] => 0010101
[6,5,1,8,4,7,3,2] => [5,3,6,7,8,2,1,4] => [8,3,2,7,1,6,5,4] => 0101111
[8,2,7,4,6,1,3,5] => [6,8,1,7,3,4,2,5] => [7,1,3,8,4,6,2,5] => 0000111
[4,7,3,2,8,1,6,5] => [8,3,7,4,6,1,2,5] => [4,6,3,1,7,2,8,5] => 0100111
[6,3,1,4,7,2,8,5] => [3,6,7,2,8,4,1,5] => [8,2,4,7,3,1,6,5] => 0100111
[2,4,7,3,8,5,6,1] => [6,2,7,4,8,5,3,1] => [2,4,8,5,7,3,6,1] => 0000111
[2,8,6,1,5,7,3,4] => [6,2,8,1,3,7,5,4] => [2,7,1,5,8,6,3,4] => 0000111
[7,8,2,5,4,3,1,6] => [3,4,5,8,2,1,7,6] => [7,8,2,5,4,3,1,6] => 0111001
[8,5,3,7,4,2,6,1] => [6,4,7,5,8,3,2,1] => [8,5,3,7,4,2,6,1] => 0011111
[5,7,3,2,4,1,8,6] => [4,3,7,2,5,8,1,6] => [5,8,3,2,4,1,7,6] => 0110011
[3,8,1,5,6,2,7,4] => [8,6,3,7,1,5,2,4] => [3,7,1,5,6,2,8,4] => 0000111
[8,2,5,6,1,7,4,3] => [6,8,4,7,2,5,1,3] => [7,4,2,5,8,1,6,3] => 0010111
[6,5,4,8,7,2,1,3] => [2,7,1,5,6,4,8,3] => [6,5,4,8,7,2,1,3] => 1001111
[1,8,5,3,6,2,7,4] => [1,6,5,8,7,4,2,3] => [1,7,4,8,5,2,6,3] => 0001111
[3,6,2,1,7,5,8,4] => [2,6,3,8,7,1,5,4] => [3,7,2,1,8,5,6,4] => 1000111
[6,8,1,4,2,7,3,5] => [8,4,7,1,3,6,2,5] => [6,7,1,4,3,8,2,5] => 0010011
[1,8,2,4,5,6,7,3] => [1,8,7,2,4,5,6,3] => [1,7,2,4,5,6,8,3] => 0000011
[1,4,7,3,5,6,8,2] => [1,8,7,4,3,5,6,2] => [1,4,7,3,5,6,8,2] => 0000011
[1,3,2,7,5,8,6,4] => [1,3,2,6,8,7,4,5] => [1,3,2,7,4,8,6,5] => 0100111
[1,4,2,5,8,3,7,6] => [1,4,8,2,5,7,3,6] => [1,5,7,2,4,3,8,6] => 0010011
[5,1,2,6,8,4,7,3] => [5,1,7,8,2,6,4,3] => [6,8,1,2,7,4,5,3] => 0001011
[3,1,2,6,5,8,4,7] => [3,1,2,8,6,5,4,7] => [3,1,2,6,5,8,4,7] => 0100101
[1,5,2,4,8,7,6,3] => [1,5,6,2,4,7,8,3] => [1,8,7,6,2,4,5,3] => 0001111
[1,2,7,4,8,6,5,3] => [1,2,5,6,8,7,4,3] => [1,2,7,4,8,6,5,3] => 0001111
[1,3,2,7,5,8,4,6] => [1,3,2,8,7,4,5,6] => [1,3,2,7,4,8,5,6] => 0100011
[2,3,1,7,5,4,8,6] => [3,2,1,5,7,8,4,6] => [2,3,1,8,5,4,7,6] => 0101011
[1,4,2,5,8,7,3,6] => [1,4,7,2,5,3,8,6] => [1,5,8,7,2,4,3,6] => 0010011
[1,5,2,4,8,7,3,6] => [1,5,7,2,4,3,8,6] => [1,8,7,2,4,5,3,6] => 0001011
[1,2,6,4,8,7,3,5] => [1,2,7,6,3,4,8,5] => [1,2,6,3,8,7,4,5] => 0000111
[1,2,7,8,5,6,3,4] => [1,2,6,3,8,5,7,4] => [1,2,7,8,5,6,3,4] => 0000101
[1,2,6,8,5,7,3,4] => [1,2,7,3,8,6,5,4] => [1,2,6,8,5,7,3,4] => 0000011
[1,5,6,8,2,7,3,4] => [1,8,7,3,5,6,2,4] => [1,5,6,7,3,8,2,4] => 0000011
[1,4,7,2,8,6,3,5] => [1,7,6,4,3,8,2,5] => [1,4,8,6,3,7,2,5] => 0000111
[1,6,7,8,2,5,3,4] => [1,8,5,3,2,6,7,4] => [1,5,3,6,7,8,2,4] => 0001001
[1,5,7,8,2,3,6,4] => [1,8,2,6,5,3,7,4] => [1,5,6,2,3,7,8,4] => 0000101
[1,5,2,7,8,4,6,3] => [1,5,6,8,2,4,7,3] => [1,7,8,2,6,4,5,3] => 0001101
[1,4,7,2,8,3,6,5] => [1,7,8,4,6,3,2,5] => [1,4,6,3,8,2,7,5] => 0000111
[1,3,6,2,4,8,7,5] => [1,6,3,2,7,4,8,5] => [1,3,8,7,2,4,6,5] => 0000111
[1,6,7,3,4,8,5,2] => [1,5,8,2,7,6,4,3] => [1,6,7,2,4,8,5,3] => 0001011
[2,8,4,1,5,3,7,6] => [4,2,8,5,3,7,1,6] => [2,5,3,7,4,1,8,6] => 0011011
[3,8,4,1,5,7,2,6] => [4,8,3,7,2,1,5,6] => [3,7,2,8,4,1,5,6] => 0010011
[1,3,6,4,2,8,7,5] => [1,4,3,6,7,2,8,5] => [1,3,8,7,4,2,6,5] => 0010111
[1,2,8,4,7,3,6,5] => [1,2,7,8,6,3,4,5] => [1,2,6,3,8,4,7,5] => 0000111
[1,2,7,4,8,3,6,5] => [1,2,8,7,6,3,4,5] => [1,2,6,3,7,4,8,5] => 0000111
[1,8,4,5,7,2,3,6] => [1,7,2,8,4,3,5,6] => [1,8,4,7,2,3,5,6] => 0000011
[2,8,3,5,1,4,7,6] => [5,2,8,1,3,7,4,6] => [2,7,1,5,3,4,8,6] => 0001011
[1,3,8,6,2,7,4,5] => [1,6,3,8,2,7,4,5] => [1,3,7,2,8,6,4,5] => 0000111
[1,4,8,6,7,2,3,5] => [1,7,2,4,3,8,6,5] => [1,4,8,6,7,2,3,5] => 0000011
[1,5,6,8,7,2,3,4] => [1,7,2,3,5,6,8,4] => [1,5,6,8,7,2,3,4] => 0000011
[1,2,6,8,5,3,7,4] => [1,2,5,8,7,6,4,3] => [1,2,6,7,4,8,5,3] => 0001011
[1,2,5,8,7,3,6,4] => [1,2,7,6,5,3,8,4] => [1,2,5,6,3,8,7,4] => 0000111
[1,2,7,8,6,3,5,4] => [1,2,6,5,3,8,7,4] => [1,2,5,3,7,8,6,4] => 0001101
[1,5,7,8,6,2,3,4] => [1,6,2,3,5,8,7,4] => [1,5,7,8,6,2,3,4] => 0000101
[1,4,7,6,8,2,3,5] => [1,8,2,4,3,7,6,5] => [1,4,7,6,8,2,3,5] => 0000011
[1,3,7,6,2,8,4,5] => [1,6,3,7,2,8,4,5] => [1,3,8,2,7,6,4,5] => 0000111
[2,3,8,7,4,1,6,5] => [4,2,3,7,6,1,8,5] => [2,3,6,4,1,8,7,5] => 0010111
[1,2,8,4,7,6,3,5] => [1,2,6,7,4,8,3,5] => [1,2,8,4,7,6,3,5] => 0000111
[1,2,6,8,7,5,3,4] => [1,2,5,3,7,6,8,4] => [1,2,6,8,7,5,3,4] => 0001011
[1,2,7,8,6,5,3,4] => [1,2,5,3,6,8,7,4] => [1,2,7,8,6,5,3,4] => 0001101
[5,2,4,7,6,3,8,1] => [8,5,6,2,4,7,3,1] => [7,6,2,4,5,3,8,1] => 0001111
[5,6,2,1,4,8,7,3] => [2,6,7,1,5,4,8,3] => [5,8,7,2,1,4,6,3] => 1000111
[2,3,7,6,4,5,8,1] => [8,2,3,6,4,7,5,1] => [2,3,7,6,4,5,8,1] => 0000111
[2,6,1,7,5,8,3,4] => [6,2,8,3,7,1,5,4] => [2,7,3,8,5,6,1,4] => 0000111
[5,1,2,7,8,4,3,6] => [5,1,4,8,2,3,7,6] => [7,8,4,1,2,5,3,6] => 0011001
[2,6,1,5,4,8,7,3] => [6,2,7,5,1,4,8,3] => [2,5,1,8,7,4,6,3] => 0001111
[2,6,1,4,7,8,5,3] => [6,2,5,1,8,4,7,3] => [2,7,8,5,1,4,6,3] => 0001101
[5,1,2,4,8,7,3,6] => [5,1,7,2,4,3,8,6] => [8,7,1,2,4,5,3,6] => 0001011
[5,1,2,4,8,7,6,3] => [5,1,6,2,4,7,8,3] => [8,7,6,1,2,4,5,3] => 0001111
[1,2,3,8,5,4,7,6] => [1,2,3,5,8,7,4,6] => [1,2,3,7,5,4,8,6] => 0001011
[1,2,3,8,5,6,4,7] => [1,2,3,6,8,5,4,7] => [1,2,3,8,5,6,4,7] => 0000101
[1,2,3,8,6,4,5,7] => [1,2,3,6,4,8,5,7] => [1,2,3,8,6,4,5,7] => 0000101
[1,2,3,8,6,5,4,7] => [1,2,3,5,6,8,4,7] => [1,2,3,8,6,5,4,7] => 0001101
[1,2,3,8,5,4,6,7] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => 0001001
[2,5,4,3,1,8,6,7] => [3,2,4,5,1,8,6,7] => [2,5,4,3,1,8,6,7] => 0111001
[3,6,4,5,1,8,7,2] => [5,7,3,6,4,1,8,2] => [3,6,4,8,7,1,5,2] => 0001111
[3,6,5,4,1,8,7,2] => [4,5,3,6,7,1,8,2] => [3,8,7,1,6,5,4,2] => 0011111
[5,2,6,1,7,8,4,3] => [6,5,4,8,2,1,7,3] => [7,8,4,2,5,1,6,3] => 0011101
[5,1,6,2,8,7,3,4] => [5,6,7,3,1,2,8,4] => [8,7,3,6,1,5,2,4] => 0001111
[2,1,3,7,8,6,4,5] => [2,1,3,6,4,8,7,5] => [2,1,3,7,8,6,4,5] => 1000101
[2,1,3,7,8,5,6,4] => [2,1,3,6,8,5,7,4] => [2,1,3,7,8,5,6,4] => 1000101
[4,3,1,2,8,6,7,5] => [3,1,4,2,7,8,6,5] => [4,3,1,2,8,6,7,5] => 0110011
[5,1,4,2,8,6,7,3] => [5,4,7,1,2,8,6,3] => [8,6,7,1,4,2,5,3] => 0011011
[2,1,3,6,8,5,7,4] => [2,1,3,7,8,6,5,4] => [2,1,3,6,8,5,7,4] => 1000011
[1,2,3,8,6,7,4,5] => [1,2,3,7,4,8,6,5] => [1,2,3,8,6,7,4,5] => 0000011
[1,2,3,8,7,5,4,6] => [1,2,3,5,7,4,8,6] => [1,2,3,8,7,5,4,6] => 0001011
[1,2,3,8,7,4,5,6] => [1,2,3,7,4,5,8,6] => [1,2,3,8,7,4,5,6] => 0000011
[1,2,3,8,5,7,4,6] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,7,5,6] => 0000011
[1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,6,7,8] => 00000001
[1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8] => 00000001
[1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8] => 00000001
[1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8] => 00000001
[1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => 000000001
[1,2,3,4,5,9,7,6,8] => [1,2,3,4,5,7,9,6,8] => [1,2,3,4,5,9,7,6,8] => 00000101
[1,2,3,4,5,6,10,7,8,9] => [1,2,3,4,5,6,10,7,8,9] => [1,2,3,4,5,6,10,7,8,9] => 000000001
[1,2,3,4,9,6,5,7,8] => [1,2,3,4,6,9,5,7,8] => [1,2,3,4,9,6,5,7,8] => 00001001
[1,2,3,4,5,10,6,7,8,9] => [1,2,3,4,5,10,6,7,8,9] => [1,2,3,4,5,10,6,7,8,9] => 000000001
[1,2,8,4,5,3,6,7] => [1,2,5,8,4,3,6,7] => [1,2,8,4,5,3,6,7] => 0001001
[1,2,3,9,5,4,6,7,8] => [1,2,3,5,9,4,6,7,8] => [1,2,3,9,5,4,6,7,8] => 00010001
[1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,5,6,7,8,9] => 000000001
[1,8,3,4,2,5,6,7] => [1,4,8,3,2,5,6,7] => [1,8,3,4,2,5,6,7] => 0010001
[1,2,9,4,3,5,6,7,8] => [1,2,4,9,3,5,6,7,8] => [1,2,9,4,3,5,6,7,8] => 00100001
[1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,4,5,6,7,8,9] => 000000001
[1,8,4,3,2,5,6,7] => [1,3,4,8,2,5,6,7] => [1,8,4,3,2,5,6,7] => 0110001
[1,9,3,2,4,5,6,7,8] => [1,3,9,2,4,5,6,7,8] => [1,9,3,2,4,5,6,7,8] => 01000001
[1,2,10,3,4,5,6,7,8,9] => [1,2,10,3,4,5,6,7,8,9] => [1,2,10,3,4,5,6,7,8,9] => 000000001
[8,4,7,6,5,3,2,1] => [2,3,5,6,7,8,4,1] => [8,4,7,6,5,3,2,1] => 1101111
[8,5,7,3,6,4,2,1] => [2,4,6,7,8,1,5,3] => [8,2,1,7,5,6,4,3] => 1010111
[8,2,7,3,6,5,4,1] => [4,5,6,8,7,2,1,3] => [7,2,8,1,6,5,4,3] => 0011111
[8,3,7,2,6,5,4,1] => [4,5,6,7,8,1,2,3] => [8,1,7,2,6,5,4,3] => 0011111
[8,5,7,2,6,4,3,1] => [3,4,6,7,8,2,5,1] => [8,2,7,5,6,4,3,1] => 0110111
[8,6,7,2,5,4,3,1] => [3,4,5,7,2,8,6,1] => [8,6,7,2,5,4,3,1] => 0111011
[8,7,6,2,5,4,3,1] => [3,4,5,6,2,7,8,1] => [8,7,6,2,5,4,3,1] => 0111111
[8,2,7,1,6,5,4,3] => [7,8,4,5,6,1,2,3] => [6,5,4,1,8,2,7,3] => 0011111
[8,3,7,6,5,2,4,1] => [4,5,6,2,7,8,3,1] => [8,2,7,6,5,3,4,1] => 0011111
[8,4,7,6,5,2,3,1] => [3,5,2,6,7,8,4,1] => [8,4,7,6,5,2,3,1] => 0101111
[8,6,7,5,4,1,3,2] => [4,3,1,5,7,8,6,2] => [3,1,8,6,7,5,4,2] => 0111011
[8,5,7,6,4,1,3,2] => [4,3,1,6,7,8,2,5] => [3,1,8,4,2,7,6,5] => 0110111
[8,3,7,6,5,1,4,2] => [5,4,6,1,7,8,3,2] => [8,1,4,3,7,6,5,2] => 0011111
[8,7,6,2,5,1,4,3] => [5,6,4,1,2,7,8,3] => [4,1,8,7,6,2,5,3] => 0011111
[8,7,6,1,5,2,4,3] => [6,5,4,2,1,7,8,3] => [4,2,5,1,8,7,6,3] => 0011111
[6,8,1,4,2,5,3,7] => [8,4,5,1,2,6,3,7] => [5,1,4,2,6,8,3,7] => 0011001
[7,8,3,6,1,4,2,5] => [6,4,8,1,2,3,7,5] => [7,8,1,4,2,6,3,5] => 0010101
[5,8,1,4,3,7,2,6] => [8,7,4,1,5,2,3,6] => [4,1,5,7,2,8,3,6] => 0010011
[2,5,3,7,6,8,1,4] => [8,2,5,1,3,7,6,4] => [2,5,1,7,6,8,3,4] => 0001011
[2,6,5,8,1,4,3,7] => [8,2,4,1,6,5,3,7] => [2,4,1,6,5,8,3,7] => 0010101
[2,6,4,7,5,8,1,3] => [8,2,1,6,7,4,5,3] => [2,7,4,6,5,8,1,3] => 0000111
[5,8,2,6,4,7,1,3] => [7,8,1,6,5,2,4,3] => [5,6,1,8,4,7,2,3] => 0000111
[4,8,1,5,3,7,2,6] => [8,7,5,4,1,2,3,6] => [4,5,1,7,2,8,3,6] => 0001011
[4,8,3,7,1,5,2,6] => [7,5,8,4,1,2,3,6] => [4,8,1,5,2,7,3,6] => 0001011
[5,8,1,3,2,6,4,7] => [8,3,1,6,5,2,4,7] => [3,1,5,6,2,8,4,7] => 0100101
[6,8,5,7,1,3,2,4] => [7,3,1,2,8,6,5,4] => [3,1,6,8,5,7,2,4] => 0100011
[4,7,5,8,1,3,2,6] => [8,3,1,4,7,2,5,6] => [3,1,4,7,2,8,5,6] => 0100011
[3,7,6,8,1,4,2,5] => [8,4,3,1,2,7,6,5] => [3,4,1,7,6,8,2,5] => 0010011
[3,7,6,8,2,5,1,4] => [5,8,3,1,2,7,6,4] => [3,7,6,8,1,5,2,4] => 0001011
[4,7,5,8,3,6,1,2] => [6,1,8,4,7,3,5,2] => [4,7,3,8,5,6,1,2] => 0000111
[4,7,5,8,2,6,1,3] => [6,8,1,4,7,2,5,3] => [4,7,1,8,5,6,2,3] => 0000111
[3,7,5,8,2,6,1,4] => [6,8,3,1,7,2,5,4] => [3,7,1,8,5,6,2,4] => 0000111
[3,7,4,8,1,5,2,6] => [8,5,3,7,1,2,4,6] => [3,7,1,5,2,8,4,6] => 0001011
[3,7,2,6,5,8,1,4] => [8,7,3,1,6,2,5,4] => [3,6,1,7,5,8,2,4] => 0000111
[4,7,3,6,5,8,1,2] => [8,1,7,4,6,3,5,2] => [4,6,3,7,5,8,1,2] => 0000111
[3,6,5,8,4,7,1,2] => [7,1,3,8,6,5,4,2] => [3,6,5,8,4,7,1,2] => 0000111
[2,6,5,8,4,7,1,3] => [7,2,1,8,6,5,4,3] => [2,6,5,8,4,7,1,3] => 0000111
[2,6,5,8,3,7,1,4] => [7,2,8,1,6,5,3,4] => [2,6,5,8,1,7,3,4] => 0000111
[6,8,4,3,7,2,1,5] => [2,7,4,8,1,6,3,5] => [6,8,4,2,1,7,3,5] => 1010011
[6,7,4,3,5,1,8,2] => [5,8,4,7,3,6,1,2] => [6,7,4,3,8,1,5,2] => 0011011
[6,7,3,5,4,8,2,1] => [2,8,7,5,3,6,4,1] => [5,3,6,7,4,8,2,1] => 1001011
[6,8,3,7,5,2,4,1] => [4,5,7,3,8,6,2,1] => [6,8,3,7,5,2,4,1] => 0011011
[7,6,8,3,5,2,4,1] => [4,5,8,2,3,7,6,1] => [7,6,8,2,5,3,4,1] => 0011011
[7,6,4,2,5,1,8,3] => [5,4,6,7,2,8,1,3] => [8,2,7,6,4,1,5,3] => 0011111
[7,6,3,8,2,4,1,5] => [4,8,6,2,1,7,3,5] => [7,6,2,8,1,4,3,5] => 0010111
[6,8,3,7,4,5,2,1] => [2,5,8,7,4,6,3,1] => [6,7,4,8,3,5,2,1] => 1001011
[6,7,3,5,8,4,2,1] => [2,4,8,7,1,6,5,3] => [6,7,2,1,5,8,4,3] => 1010011
[5,7,8,3,6,2,1,4] => [2,6,8,1,5,3,7,4] => [5,7,8,2,1,6,3,4] => 1000101
[6,3,4,8,7,2,5,1] => [5,7,6,3,2,4,8,1] => [6,3,8,7,2,4,5,1] => 0001111
[5,7,3,6,8,2,1,4] => [2,8,7,1,5,3,6,4] => [5,7,2,1,6,8,3,4] => 1000011
[4,6,8,3,5,7,2,1] => [2,7,8,4,3,6,5,1] => [4,6,8,3,5,7,2,1] => 1000011
[4,7,3,5,8,2,6,1] => [6,8,7,4,3,2,5,1] => [4,7,3,8,2,5,6,1] => 0000111
[5,3,4,7,8,2,1,6] => [2,8,5,3,4,1,7,6] => [5,3,4,7,8,2,1,6] => 1001001
[5,3,8,2,4,1,6,7] => [4,8,5,2,3,1,6,7] => [5,2,8,3,4,1,6,7] => 0011001
[5,3,4,8,2,6,1,7] => [6,8,5,3,4,2,1,7] => [5,3,4,8,2,6,1,7] => 0001101
[4,8,3,6,2,5,7,1] => [7,6,8,4,2,3,5,1] => [4,8,2,6,3,5,7,1] => 0000111
[4,8,3,5,7,2,6,1] => [6,7,8,4,3,2,5,1] => [4,8,3,7,2,5,6,1] => 0000111
[4,8,3,5,6,7,2,1] => [2,7,8,4,3,5,6,1] => [4,8,3,5,6,7,2,1] => 1000011
[4,7,8,3,5,6,2,1] => [2,6,8,4,3,5,7,1] => [4,7,8,3,5,6,2,1] => 1000101
[5,2,8,4,1,7,3,6] => [4,8,5,7,3,1,2,6] => [7,3,5,1,8,4,2,6] => 0011011
[6,4,3,5,8,2,1,7] => [2,8,4,6,3,5,1,7] => [6,4,3,5,8,2,1,7] => 1010101
[5,7,3,4,8,2,1,6] => [2,8,7,3,5,1,4,6] => [5,7,3,8,2,1,4,6] => 1000011
[5,8,4,2,3,1,6,7] => [3,4,2,8,5,1,6,7] => [5,8,4,2,3,1,6,7] => 0110001
[6,4,5,3,8,2,1,7] => [2,8,5,6,4,3,1,7] => [6,4,5,3,8,2,1,7] => 1001101
[6,4,8,5,3,7,2,1] => [2,7,5,8,6,3,4,1] => [6,3,8,5,4,7,2,1] => 1001111
[6,4,5,3,7,1,8,2] => [7,8,5,6,4,3,1,2] => [6,4,5,3,8,1,7,2] => 0001111
[5,6,3,7,1,8,2,4] => [7,8,6,2,5,3,1,4] => [5,6,2,8,3,7,1,4] => 0000111
[5,6,3,4,8,2,1,7] => [2,8,6,3,5,4,1,7] => [5,6,3,4,8,2,1,7] => 1000101
[6,4,3,5,7,1,8,2] => [7,8,4,6,3,5,1,2] => [6,4,3,5,8,1,7,2] => 0010111
[5,3,4,7,2,6,1,8] => [6,7,5,3,4,2,1,8] => [5,3,4,7,2,6,1,8] => 0001110
[4,7,3,6,2,5,8,1] => [8,6,7,4,2,3,5,1] => [4,7,2,6,3,5,8,1] => 0000111
[4,5,8,3,6,7,2,1] => [2,7,8,4,5,3,6,1] => [4,5,8,3,6,7,2,1] => 1000011
[5,3,4,6,8,2,1,7] => [2,8,5,3,4,6,1,7] => [5,3,4,6,8,2,1,7] => 1001001
[5,3,6,7,1,8,2,4] => [7,8,5,2,3,6,1,4] => [5,2,6,8,3,7,1,4] => 0001011
[4,6,3,5,7,8,2,1] => [2,8,6,4,3,5,7,1] => [4,6,3,5,7,8,2,1] => 1000101
[4,5,6,8,3,7,2,1] => [2,7,8,4,5,6,3,1] => [4,5,6,8,3,7,2,1] => 1000011
[3,2,6,5,1,8,7,4] => [5,3,2,6,7,4,8,1] => [3,2,8,7,4,6,5,1] => 0101111
[3,5,6,7,2,8,4,1] => [4,8,3,7,5,6,1,2] => [3,5,6,7,1,8,4,2] => 0010011
[7,6,9,8,5,4,3,2,1] => [2,3,4,5,8,7,6,9,1] => [7,6,9,8,5,4,3,2,1] => 11110111
[6,7,8,9,5,4,3,2,1] => [2,3,4,5,9,6,7,8,1] => [6,7,8,9,5,4,3,2,1] => 11110001
[5,6,7,8,9,4,3,2,1] => [2,3,4,9,5,6,7,8,1] => [5,6,7,8,9,4,3,2,1] => 11100001
[4,5,6,7,8,9,3,2,1] => [2,3,9,4,5,6,7,8,1] => [4,5,6,7,8,9,3,2,1] => 11000001
[3,4,5,6,7,8,9,2,1] => [2,9,3,4,5,6,7,8,1] => [3,4,5,6,7,8,9,2,1] => 10000001
[8,9,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,8,9,1] => [8,9,10,7,6,5,4,3,2,1] => 111111001
[7,8,9,10,6,5,4,3,2,1] => [2,3,4,5,6,10,7,8,9,1] => [7,8,9,10,6,5,4,3,2,1] => 111110001
[5,4,3,2,1,10,9,8,7,6] => [2,3,4,5,1,7,8,9,10,6] => [5,4,3,2,1,10,9,8,7,6] => 111101111
[5,6,7,8,9,10,4,3,2,1] => [2,3,4,10,5,6,7,8,9,1] => [5,6,7,8,9,10,4,3,2,1] => 111000001
[4,5,6,7,8,9,10,3,2,1] => [2,3,10,4,5,6,7,8,9,1] => [4,5,6,7,8,9,10,3,2,1] => 110000001
[3,4,5,6,7,8,9,10,2,1] => [2,10,3,4,5,6,7,8,9,1] => [3,4,5,6,7,8,9,10,2,1] => 100000001
[1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => [1,3,6,2,4,8,5,7] => 0000101
[1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => [1,7,2,3,6,4,8,5] => 0000111
[1,3,5,2,8,4,7,6] => [1,5,3,8,2,7,4,6] => [1,3,7,2,5,4,8,6] => 0001011
[1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => [1,2,5,3,7,4,6,8] => 0001010
[1,5,8,2,3,7,4,6] => [1,8,2,7,5,4,3,6] => [1,5,7,4,8,2,3,6] => 0000011
[1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => [1,5,2,3,6,8,4,7] => 0001001
[5,3,6,1,2,4,8,7] => [6,1,5,2,3,4,8,7] => [5,1,2,6,3,4,8,7] => 0001101
[7,1,5,8,4,2,3,6] => [7,4,2,8,1,3,5,6] => [8,4,2,7,1,3,5,6] => 0010011
[8,1,5,7,4,2,3,6] => [8,4,2,7,1,3,5,6] => [7,4,2,8,1,3,5,6] => 0010011
[7,1,4,5,8,2,3,6] => [7,8,2,1,4,3,5,6] => [8,2,4,7,1,3,5,6] => 0000011
[8,4,1,7,2,6,3,5] => [4,8,7,6,1,3,2,5] => [6,1,7,3,8,4,2,5] => 0010111
[8,1,5,4,7,2,3,6] => [8,7,2,5,1,3,4,6] => [5,2,7,1,3,8,4,6] => 0001011
[2,1,7,5,8,3,4,6] => [2,1,8,3,7,4,5,6] => [2,1,7,3,4,8,5,6] => 1000011
[7,1,5,4,8,2,3,6] => [7,8,2,5,1,3,4,6] => [5,2,8,1,3,7,4,6] => 0001011
[7,1,4,8,5,2,3,6] => [7,5,2,1,8,3,4,6] => [8,5,2,7,1,3,4,6] => 0001011
[6,4,1,7,2,3,8,5] => [4,6,1,7,8,2,3,5] => [8,1,7,4,2,3,6,5] => 0010111
[7,8,3,1,2,4,6,5] => [3,1,8,2,6,4,7,5] => [6,3,1,2,4,7,8,5] => 0100101
[7,6,1,8,4,2,3,5] => [6,4,1,7,3,8,2,5] => [8,4,1,3,7,6,2,5] => 0010111
[7,3,8,1,2,4,6,5] => [8,1,7,2,6,4,3,5] => [6,1,2,4,7,3,8,5] => 0000111
[8,3,7,1,2,4,6,5] => [7,1,8,2,6,4,3,5] => [6,1,2,4,8,3,7,5] => 0000111
[8,3,7,5,1,2,4,6] => [5,1,7,3,8,4,2,6] => [8,3,4,7,5,1,2,6] => 0001011
[7,3,6,1,2,4,8,5] => [6,1,7,2,8,3,4,5] => [8,1,2,7,3,4,6,5] => 0000111
[7,1,8,5,4,2,3,6] => [7,4,2,5,8,3,1,6] => [8,5,4,2,3,7,1,6] => 0011011
[7,1,8,4,5,2,3,6] => [7,5,2,8,4,3,1,6] => [8,4,5,2,3,7,1,6] => 0001011
[2,1,7,8,5,3,4,6] => [2,1,5,3,8,4,7,6] => [2,1,7,8,5,3,4,6] => 1001001
[6,1,2,3,8,7,5,4] => [6,1,2,5,7,3,8,4] => [8,7,5,1,2,3,6,4] => 0001111
[6,8,1,4,2,3,7,5] => [8,4,2,1,7,6,3,5] => [4,2,6,7,1,3,8,5] => 0010011
[6,7,1,4,2,3,8,5] => [7,4,2,1,8,6,3,5] => [4,2,6,8,1,3,7,5] => 0010011
[4,3,6,8,5,7,1,2] => [7,1,4,3,8,6,5,2] => [4,3,6,8,5,7,1,2] => 0010011
[7,2,1,5,8,3,4,6] => [2,7,8,3,1,4,5,6] => [8,3,7,2,1,4,5,6] => 1000011
[3,5,6,1,8,4,2,7] => [6,4,3,8,5,1,2,7] => [3,5,8,4,1,6,2,7] => 0010101
[5,7,1,6,8,4,3,2] => [7,3,4,8,5,1,6,2] => [5,8,4,3,1,6,7,2] => 0110011
[4,8,1,2,5,7,3,6] => [8,1,7,4,2,3,5,6] => [4,7,1,2,8,3,5,6] => 0000011
[8,3,6,4,7,2,5,1] => [5,7,8,6,2,3,4,1] => [6,2,8,3,7,4,5,1] => 0001111
[3,7,1,6,5,4,8,2] => [7,8,3,5,6,1,4,2] => [3,6,5,1,8,4,7,2] => 0001111
[2,7,3,1,5,8,4,6] => [3,2,7,8,1,4,5,6] => [2,8,3,1,7,4,5,6] => 0100011
[8,2,6,7,5,4,3,1] => [3,4,5,7,8,1,6,2] => [8,1,6,7,5,4,3,2] => 0111011
[3,8,7,1,6,4,5,2] => [7,5,3,6,4,1,8,2] => [3,6,4,5,1,8,7,2] => 0001111
[3,6,8,2,7,4,1,5] => [4,7,3,8,2,6,1,5] => [3,6,8,2,7,4,1,5] => 0010011
[1,5,2,8,7,4,6,3] => [1,5,6,7,2,4,8,3] => [1,8,7,2,6,4,5,3] => 0001111
[4,1,3,7,5,6,8,2] => [4,8,1,3,7,5,6,2] => [7,5,6,8,1,3,4,2] => 0010011
[4,1,7,3,8,5,2,6] => [4,5,8,1,7,3,2,6] => [7,1,8,5,3,4,2,6] => 0011011
[3,6,1,4,5,8,2,7] => [6,8,3,1,4,5,2,7] => [3,8,1,4,5,6,2,7] => 0000101
[1,6,7,4,5,3,8,2] => [1,8,5,7,4,6,3,2] => [1,6,7,4,5,3,8,2] => 0001011
[6,1,7,3,5,4,8,2] => [6,8,7,5,3,1,4,2] => [5,3,7,1,8,4,6,2] => 0001111
[5,6,8,7,2,4,1,3] => [4,7,1,2,5,6,8,3] => [5,6,8,7,1,4,2,3] => 0010011
[6,8,5,7,1,2,4,3] => [7,1,4,2,8,6,5,3] => [4,1,2,6,8,5,7,3] => 0010011
[2,8,4,1,7,5,6,3] => [4,2,8,6,7,5,3,1] => [2,7,5,6,3,8,4,1] => 0010111
[8,2,4,3,7,5,6,1] => [6,8,4,2,7,5,3,1] => [4,2,7,5,8,3,6,1] => 0010111
[7,2,8,4,1,6,3,5] => [4,8,7,6,1,2,3,5] => [6,1,7,2,8,4,3,5] => 0010111
[4,1,6,8,5,3,7,2] => [4,7,5,1,8,6,3,2] => [6,8,5,1,7,3,4,2] => 0011011
[1,7,3,2,4,8,5,6] => [1,3,7,2,8,5,4,6] => [1,8,5,7,3,2,4,6] => 0100011
[7,1,6,5,3,4,8,2] => [7,8,5,3,6,1,4,2] => [6,5,3,8,1,4,7,2] => 0001111
[6,3,4,2,8,7,5,1] => [5,4,7,1,6,2,8,3] => [6,1,4,2,8,7,5,3] => 0011111
[4,3,8,7,5,2,6,1] => [6,5,4,3,7,2,8,1] => [4,3,8,7,5,2,6,1] => 0011111
[6,8,7,4,2,3,5,1] => [5,4,2,7,3,6,8,1] => [6,8,7,4,2,3,5,1] => 0011011
[3,6,4,5,2,8,7,1] => [7,5,3,6,4,2,8,1] => [3,6,4,5,2,8,7,1] => 0001111
[8,6,1,3,5,4,2,7] => [6,4,1,5,3,8,2,7] => [5,4,1,3,8,6,2,7] => 0011101
[5,3,8,6,1,2,4,7] => [6,1,5,2,3,8,4,7] => [5,1,2,8,6,3,4,7] => 0001101
[2,5,6,3,4,8,7,1] => [7,2,6,3,5,4,8,1] => [2,5,6,3,4,8,7,1] => 0000111
[4,8,7,3,5,2,6,1] => [6,5,7,4,3,2,8,1] => [4,8,7,3,5,2,6,1] => 0001111
[3,8,7,2,6,4,5,1] => [5,7,3,6,4,2,8,1] => [3,6,4,8,7,2,5,1] => 0001111
[6,3,5,4,8,7,2,1] => [2,7,6,5,3,4,8,1] => [5,3,6,4,8,7,2,1] => 1001111
[4,3,8,6,1,5,2,7] => [6,5,4,3,1,8,2,7] => [4,3,5,1,8,6,2,7] => 0011101
[4,7,6,2,5,3,8,1] => [8,6,5,4,2,7,3,1] => [4,5,2,7,6,3,8,1] => 0001111
[7,5,2,6,8,1,4,3] => [8,5,4,1,7,2,6,3] => [4,1,7,5,2,6,8,3] => 0011011
[1,8,5,3,6,2,4,7] => [1,6,5,2,8,3,4,7] => [1,8,5,2,6,3,4,7] => 0001101
[5,1,7,2,4,3,8,6] => [5,7,4,2,1,8,3,6] => [4,2,8,1,5,3,7,6] => 0011011
[1,5,3,4,8,6,2,7] => [1,6,5,3,4,8,2,7] => [1,5,3,4,8,6,2,7] => 0001101
[5,4,1,3,8,6,2,7] => [4,5,2,6,3,8,1,7] => [8,6,2,3,5,4,1,7] => 0011101
[5,1,8,6,3,4,2,7] => [5,4,6,3,1,8,2,7] => [8,6,3,4,1,5,2,7] => 0011101
[8,2,3,7,6,4,5,1] => [5,8,2,6,4,7,3,1] => [7,6,4,8,2,3,5,1] => 0001111
[5,8,2,4,7,6,3,1] => [3,6,7,2,5,8,4,1] => [5,8,2,4,7,6,3,1] => 0100111
[6,8,2,5,3,4,7,1] => [7,8,5,3,2,6,4,1] => [5,3,6,8,2,4,7,1] => 0001011
[1,6,7,4,8,2,3,5] => [1,8,2,7,3,6,4,5] => [1,6,7,2,3,8,4,5] => 0000011
[8,2,1,3,5,6,7,4] => [2,8,1,7,3,5,6,4] => [7,2,1,3,5,6,8,4] => 1000011
[4,1,3,8,2,6,7,5] => [4,8,1,3,7,2,6,5] => [7,1,3,4,2,6,8,5] => 0010011
[3,1,7,2,8,5,4,6] => [3,7,1,5,8,4,2,6] => [8,5,4,7,1,3,2,6] => 0101011
[3,6,1,4,7,2,8,5] => [6,7,3,1,8,4,2,5] => [3,8,1,4,7,2,6,5] => 0000111
[1,5,8,4,7,2,3,6] => [1,7,2,8,5,3,4,6] => [1,5,8,2,3,7,4,6] => 0000011
[7,1,3,6,2,8,4,5] => [7,6,1,8,4,3,2,5] => [8,4,6,1,3,7,2,5] => 0000111
[1,8,5,7,3,2,4,6] => [1,3,7,2,8,4,5,6] => [1,8,3,2,4,7,5,6] => 0100011
[2,1,8,5,4,3,6,7] => [2,1,4,5,8,3,6,7] => [2,1,8,5,4,3,6,7] => 1011001
[7,4,8,6,2,3,1,5] => [3,6,2,8,4,7,1,5] => [7,4,8,6,2,3,1,5] => 0100111
[7,1,3,2,8,5,4,6] => [7,3,1,5,8,4,2,6] => [3,1,8,5,4,7,2,6] => 0101011
[2,8,5,4,1,3,6,7] => [4,2,1,5,8,3,6,7] => [2,8,5,4,1,3,6,7] => 0011001
[5,1,7,4,2,3,8,6] => [5,4,2,7,1,8,3,6] => [8,4,2,5,1,3,7,6] => 0011011
[1,3,4,8,6,5,2,7] => [1,5,3,4,6,8,2,7] => [1,3,4,8,6,5,2,7] => 0001101
[8,4,7,5,2,3,6,1] => [6,5,2,7,8,4,3,1] => [8,4,7,5,2,3,6,1] => 0001111
[5,7,4,3,6,2,8,1] => [8,6,4,7,5,3,2,1] => [5,7,4,3,6,2,8,1] => 0010111
[7,6,2,4,5,8,3,1] => [3,8,6,1,4,7,5,2] => [7,6,1,4,5,8,3,2] => 0100111
[7,6,3,8,4,2,5,1] => [5,4,8,6,3,7,2,1] => [7,6,3,8,4,2,5,1] => 0011111
[2,6,3,8,4,7,5,1] => [5,2,7,6,8,4,1,3] => [2,8,4,6,1,7,5,3] => 0001111
[7,2,3,6,5,8,4,1] => [4,8,1,7,6,3,5,2] => [6,1,3,7,5,8,4,2] => 0010111
[2,8,3,6,4,5,7,1] => [7,2,8,6,4,3,5,1] => [2,6,4,8,3,5,7,1] => 0000111
[2,1,5,6,8,3,7,4] => [2,1,8,7,5,6,3,4] => [2,1,5,6,7,3,8,4] => 1000011
[5,8,1,2,6,4,7,3] => [8,1,7,6,5,2,4,3] => [5,6,1,2,7,4,8,3] => 0000111
[1,6,8,3,2,7,4,5] => [1,3,8,7,4,6,2,5] => [1,6,7,4,8,3,2,5] => 0100011
[6,5,7,2,8,4,1,3] => [4,8,2,7,6,5,1,3] => [6,5,7,2,8,4,1,3] => 0010111
[7,5,1,2,8,4,6,3] => [5,1,7,6,8,2,3,4] => [8,1,2,6,3,7,5,4] => 0001111
[5,4,8,3,6,2,7,1] => [7,6,8,5,4,3,2,1] => [5,4,8,3,6,2,7,1] => 0001111
[5,8,2,7,4,3,6,1] => [6,8,4,7,5,3,2,1] => [5,7,4,3,8,2,6,1] => 0010111
[5,7,3,6,4,8,2,1] => [2,8,7,6,5,3,4,1] => [5,6,3,7,4,8,2,1] => 1000111
[1,4,6,3,5,7,8,2] => [1,8,6,4,3,5,7,2] => [1,4,6,3,5,7,8,2] => 0000101
[3,5,1,6,4,7,8,2] => [5,8,3,6,1,4,7,2] => [3,6,1,7,8,4,5,2] => 0001101
[2,4,6,3,1,7,8,5] => [3,2,6,4,8,1,7,5] => [2,4,7,8,3,1,6,5] => 0100101
[1,3,6,5,2,7,8,4] => [1,5,3,6,8,4,7,2] => [1,3,7,8,4,6,5,2] => 0001101
[1,2,6,4,3,8,5,7] => [1,2,4,6,8,3,5,7] => [1,2,8,4,3,6,5,7] => 0010101
[1,2,7,4,6,8,3,5] => [1,2,8,7,3,4,6,5] => [1,2,7,3,6,8,4,5] => 0000011
[1,2,7,6,4,8,5,3] => [1,2,5,8,6,7,3,4] => [1,2,7,6,3,8,5,4] => 0001111
[3,1,5,4,8,7,6,2] => [3,6,1,5,4,7,8,2] => [5,4,8,7,6,1,3,2] => 0101111
[1,2,5,8,4,7,3,6] => [1,2,7,8,5,3,4,6] => [1,2,5,8,3,7,4,6] => 0000011
[1,2,6,8,5,4,7,3] => [1,2,7,5,8,6,4,3] => [1,2,6,8,5,4,7,3] => 0001011
[1,3,6,8,5,2,7,4] => [1,5,3,8,7,6,4,2] => [1,3,6,7,4,8,5,2] => 0001011
[2,4,7,6,8,3,1,5] => [3,2,8,4,1,7,6,5] => [2,4,7,6,8,3,1,5] => 0100011
[1,3,6,8,5,2,4,7] => [1,5,3,2,8,6,4,7] => [1,3,6,8,5,2,4,7] => 0001001
[1,2,6,8,5,4,3,7] => [1,2,4,5,8,6,3,7] => [1,2,6,8,5,4,3,7] => 0011001
[1,2,5,8,4,3,7,6] => [1,2,4,8,5,7,3,6] => [1,2,5,7,4,3,8,6] => 0010011
[1,3,5,8,2,4,7,6] => [1,8,3,2,5,7,4,6] => [1,3,5,7,2,4,8,6] => 0000011
[1,3,6,8,2,5,4,7] => [1,8,3,5,2,6,4,7] => [1,3,5,2,6,8,4,7] => 0001001
[1,4,6,8,3,2,5,7] => [1,3,8,4,2,6,5,7] => [1,4,6,8,3,2,5,7] => 0100001
[4,6,1,7,5,8,2,3] => [6,8,2,4,7,1,5,3] => [4,7,2,8,5,6,1,3] => 0000111
[2,3,6,7,5,8,1,4] => [8,2,3,1,7,6,5,4] => [2,3,6,7,5,8,1,4] => 0000011
[1,3,7,5,6,8,2,4] => [1,8,3,2,7,5,6,4] => [1,3,7,5,6,8,2,4] => 0000011
[3,4,6,2,8,1,7,5] => [8,6,3,4,7,2,1,5] => [3,4,7,2,6,1,8,5] => 0000111
[3,5,4,6,8,1,2,7] => [8,1,3,5,4,6,2,7] => [3,5,4,6,8,1,2,7] => 0001001
[1,2,4,7,5,8,3,6] => [1,2,8,4,7,3,5,6] => [1,2,4,7,3,8,5,6] => 0000011
[3,6,4,7,1,8,5,2] => [7,5,3,8,6,2,1,4] => [3,6,2,8,5,1,7,4] => 0001111
[1,2,6,7,3,8,5,4] => [1,2,7,5,8,6,3,4] => [1,2,6,8,5,3,7,4] => 0001011
[1,2,5,7,3,8,6,4] => [1,2,7,6,5,8,3,4] => [1,2,5,8,6,3,7,4] => 0000111
[3,1,5,7,6,8,4,2] => [3,4,1,8,5,7,6,2] => [5,7,6,8,4,1,3,2] => 0110011
[4,2,6,1,8,7,5,3] => [6,4,5,2,7,1,8,3] => [8,7,5,2,4,1,6,3] => 0011111
[1,2,7,4,6,8,5,3] => [1,2,5,8,7,3,6,4] => [1,2,7,3,6,8,5,4] => 0001011
[3,1,6,7,5,8,4,2] => [3,4,1,8,7,6,5,2] => [6,7,5,8,4,1,3,2] => 0110011
[4,6,2,7,5,8,3,1] => [3,8,6,4,7,1,5,2] => [4,7,1,6,5,8,3,2] => 0100111
[3,5,7,4,8,2,6,1] => [6,8,3,7,5,2,4,1] => [3,5,7,2,8,4,6,1] => 0000111
[2,4,7,6,8,3,5,1] => [5,2,8,4,3,7,6,1] => [2,4,7,6,8,3,5,1] => 0001011
[1,4,6,8,3,5,7,2] => [1,7,8,4,3,6,5,2] => [1,4,6,8,3,5,7,2] => 0000011
[1,3,6,8,2,5,7,4] => [1,8,3,7,2,6,5,4] => [1,3,6,7,2,5,8,4] => 0000011
[1,2,5,8,4,7,6,3] => [1,2,6,7,5,8,3,4] => [1,2,5,8,3,7,6,4] => 0000111
[1,2,4,8,7,3,6,5] => [1,2,7,4,6,3,8,5] => [1,2,4,6,3,8,7,5] => 0000111
[1,3,5,8,7,2,4,6] => [1,7,3,2,5,4,8,6] => [1,3,5,8,7,2,4,6] => 0000011
[5,7,1,2,8,6,4,3] => [7,1,4,6,5,8,2,3] => [5,8,6,4,1,2,7,3] => 0010111
[1,2,6,8,5,7,4,3] => [1,2,4,7,8,6,5,3] => [1,2,6,8,5,7,4,3] => 0010011
[1,2,4,8,7,6,3,5] => [1,2,6,4,3,7,8,5] => [1,2,4,8,7,6,3,5] => 0000111
[6,4,5,7,2,8,1,3] => [8,7,1,6,4,5,2,3] => [6,4,5,7,1,8,2,3] => 0000111
[3,7,4,5,6,8,1,2] => [8,1,3,7,4,5,6,2] => [3,7,4,5,6,8,1,2] => 0000011
[5,3,1,2,8,4,7,6] => [3,1,5,8,2,7,4,6] => [7,3,1,2,5,4,8,6] => 0101011
[6,5,2,3,7,1,4,8] => [7,5,2,1,6,3,4,8] => [6,5,2,7,1,3,4,8] => 0001110
[5,2,1,7,3,4,6,8] => [2,5,7,3,1,4,6,8] => [7,3,5,2,1,4,6,8] => 1001010
[5,2,1,8,3,4,6,7] => [2,5,8,3,1,4,6,7] => [8,3,5,2,1,4,6,7] => 1001001
[6,4,1,3,8,5,7,2] => [4,6,2,7,8,3,5,1] => [8,2,3,7,5,6,4,1] => 0010111
[6,2,3,1,8,4,7,5] => [3,6,2,8,7,1,4,5] => [7,2,3,1,8,4,6,5] => 0100111
[8,3,5,2,7,1,4,6] => [7,5,8,1,3,4,2,6] => [8,1,5,3,4,7,2,6] => 0001011
[8,2,1,7,3,4,5,6] => [2,8,7,3,4,5,1,6] => [7,3,4,5,8,2,1,6] => 1000011
[8,6,3,7,2,4,5,1] => [5,7,6,2,4,8,3,1] => [8,6,2,4,7,3,5,1] => 0001111
[8,2,7,3,4,5,6,1] => [6,8,7,3,4,5,2,1] => [7,3,4,5,8,2,6,1] => 0000111
[8,1,6,2,3,4,5,7] => [8,6,2,3,4,1,5,7] => [6,2,3,4,8,1,5,7] => 0000101
[8,1,7,3,4,5,6,2] => [8,6,7,3,4,5,1,2] => [7,3,4,5,6,1,8,2] => 0000111
[7,2,1,8,3,4,5,6] => [2,7,8,3,4,5,1,6] => [8,3,4,5,7,2,1,6] => 1000011
[7,3,8,2,4,5,6,1] => [6,8,7,2,4,5,3,1] => [7,2,4,5,8,3,6,1] => 0000111
[1,7,8,3,4,5,6,2] => [1,6,8,3,4,5,7,2] => [1,7,8,3,4,5,6,2] => 0000101
[1,4,5,8,3,6,7,2] => [1,7,8,4,5,3,6,2] => [1,4,5,8,3,6,7,2] => 0000011
[6,2,7,1,8,4,5,3] => [7,6,5,8,4,2,1,3] => [8,4,5,2,6,1,7,3] => 0001111
[5,3,4,6,8,2,7,1] => [7,8,5,3,4,6,2,1] => [5,3,4,6,8,2,7,1] => 0001011
[4,6,3,8,7,1,2,5] => [7,1,6,4,2,3,8,5] => [4,6,1,2,8,7,3,5] => 0000111
[6,4,5,8,7,1,2,3] => [7,1,2,6,4,5,8,3] => [6,4,5,8,7,1,2,3] => 0000111
[5,3,4,8,7,1,2,6] => [7,1,5,3,4,2,8,6] => [5,3,4,8,7,1,2,6] => 0001011
[3,2,8,7,1,4,6,5] => [7,3,2,1,6,4,8,5] => [3,2,6,1,4,8,7,5] => 0100111
[4,7,8,2,6,1,3,5] => [6,8,1,4,3,2,7,5] => [4,7,8,1,3,6,2,5] => 0000101
[6,2,8,7,1,4,5,3] => [7,6,5,1,4,2,8,3] => [5,1,4,6,2,8,7,3] => 0001111
[1,7,6,2,3,4,5,8] => [1,6,2,3,4,7,5,8] => [1,7,6,2,3,4,5,8] => 0000110
[1,8,6,2,3,4,5,7] => [1,6,2,3,4,8,5,7] => [1,8,6,2,3,4,5,7] => 0000101
[2,8,7,3,4,5,6,1] => [6,2,7,3,4,5,8,1] => [2,8,7,3,4,5,6,1] => 0000111
[3,8,7,2,4,5,6,1] => [6,7,3,2,4,5,8,1] => [3,8,7,2,4,5,6,1] => 0000111
[3,6,2,4,7,1,8,5] => [7,6,3,2,8,4,1,5] => [3,8,2,4,6,1,7,5] => 0000111
[3,4,7,2,5,1,8,6] => [5,7,3,4,2,8,1,6] => [3,4,8,2,5,1,7,6] => 0001011
[4,1,8,5,3,2,7,6] => [4,3,5,1,8,7,2,6] => [7,5,3,1,4,2,8,6] => 0111011
[1,2,8,3,7,5,4,6] => [1,2,8,5,7,4,3,6] => [1,2,7,5,4,8,3,6] => 0001011
[4,3,8,1,2,6,7,5] => [8,1,4,3,7,2,6,5] => [4,3,7,1,2,6,8,5] => 0010011
[1,2,3,4,5,10,9,8,7,6] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,9,8,7,6] => 000001111
[3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => 01000000
[3,5,1,2,4,8,7,6] => [5,1,3,2,4,7,8,6] => [3,5,1,2,4,8,7,6] => 0001011
[5,2,8,4,7,3,1,6] => [3,7,5,8,1,2,4,6] => [8,1,5,3,2,7,4,6] => 0101011
[4,3,5,1,2,8,7,6] => [5,1,4,3,2,7,8,6] => [4,3,5,1,2,8,7,6] => 0011011
[3,1,4,6,2,8,7,5] => [3,6,1,4,7,2,8,5] => [4,8,7,1,3,2,6,5] => 0100111
[1,4,6,5,2,8,7,3] => [1,5,6,4,7,3,8,2] => [1,4,8,7,3,6,5,2] => 0001111
[8,1,4,7,2,3,6,5] => [8,7,2,1,6,3,4,5] => [6,2,7,1,3,4,8,5] => 0000111
[6,1,4,8,7,3,2,5] => [6,3,7,1,2,4,8,5] => [8,7,3,1,6,2,4,5] => 0100111
[5,4,8,1,6,3,2,7] => [8,3,6,5,4,1,2,7] => [5,4,6,3,1,8,2,7] => 0101101
[1,4,8,6,3,7,2,5] => [1,7,6,4,2,8,3,5] => [1,4,8,6,2,7,3,5] => 0000111
[4,6,3,7,5,8,1,2] => [8,1,6,4,7,3,5,2] => [4,7,3,6,5,8,1,2] => 0000111
[4,1,3,5,8,6,2,7] => [4,6,1,3,5,8,2,7] => [5,8,6,1,3,4,2,7] => 0010101
[5,7,4,3,8,1,2,6] => [8,1,4,7,5,2,3,6] => [5,7,4,1,2,8,3,6] => 0010011
[1,4,8,3,7,6,5,2] => [1,5,6,4,7,8,3,2] => [1,4,8,3,7,6,5,2] => 0001111
[4,3,8,2,1,6,5,7] => [2,8,4,3,6,1,5,7] => [4,3,6,2,1,8,5,7] => 1010101
[3,8,4,2,7,1,5,6] => [7,4,3,8,1,5,2,6] => [3,8,4,1,5,7,2,6] => 0010011
[1,8,2,7,6,5,4,3] => [1,8,4,5,6,7,2,3] => [1,7,6,5,4,2,8,3] => 0011111
[3,8,1,6,7,5,4,2] => [8,4,3,5,7,1,6,2] => [3,7,5,4,1,6,8,2] => 0011011
[3,7,2,6,8,5,1,4] => [5,8,3,2,7,1,6,4] => [3,7,2,6,8,5,1,4] => 0001011
[7,2,3,8,5,6,1,4] => [6,7,2,1,8,5,3,4] => [8,5,7,2,6,1,3,4] => 0000111
[8,2,4,3,6,1,5,7] => [6,8,4,2,1,3,5,7] => [4,2,8,1,6,3,5,7] => 0010101
[6,8,7,1,4,2,5,3] => [7,4,5,1,2,6,8,3] => [5,1,4,2,6,8,7,3] => 0011011
[3,8,5,6,7,2,1,4] => [2,7,3,1,8,5,6,4] => [3,8,5,6,7,2,1,4] => 1000011
[8,1,7,6,2,4,3,5] => [8,6,4,2,3,7,1,5] => [4,2,7,6,3,8,1,5] => 0010111
[8,3,6,1,7,2,4,5] => [6,7,8,2,4,3,1,5] => [8,2,4,7,3,6,1,5] => 0000111
[1,8,6,5,7,3,4,2] => [1,4,7,3,6,8,5,2] => [1,8,6,5,7,3,4,2] => 0010111
[7,4,1,6,5,8,3,2] => [4,3,7,8,6,2,5,1] => [6,3,2,8,5,7,4,1] => 0110111
[4,1,5,8,7,6,3,2] => [4,3,6,1,5,7,8,2] => [5,8,7,6,3,1,4,2] => 0110111
[1,2,5,8,6,7,3,4] => [1,2,7,3,5,8,6,4] => [1,2,5,8,6,7,3,4] => 0000011
[4,2,1,5,8,7,3,6] => [2,4,7,1,5,3,8,6] => [5,8,7,2,1,4,3,6] => 1010011
[1,5,3,6,8,7,4,2] => [1,4,7,5,2,6,8,3] => [1,5,2,6,8,7,4,3] => 0011011
[1,4,5,6,8,7,2,3] => [1,7,2,4,5,6,8,3] => [1,4,5,6,8,7,2,3] => 0000011
[1,4,6,3,7,2,8,5] => [1,7,6,4,8,3,2,5] => [1,4,8,3,6,2,7,5] => 0000111
[1,7,3,6,5,2,8,4] => [1,5,6,7,8,4,3,2] => [1,8,4,7,3,6,5,2] => 0001111
[7,6,2,5,4,3,1,8] => [3,4,5,6,2,7,1,8] => [7,6,2,5,4,3,1,8] => 0111110
[6,2,3,7,5,4,1,8] => [4,5,2,7,6,3,1,8] => [6,2,3,7,5,4,1,8] => 0011110
[8,7,2,5,1,6,4,3] => [5,7,4,6,2,1,8,3] => [6,4,2,8,7,1,5,3] => 0011111
[7,8,2,5,4,1,6,3] => [4,5,8,6,3,2,7,1] => [6,3,7,8,2,5,4,1] => 0011101
[8,1,3,6,2,7,5,4] => [8,6,1,5,7,3,2,4] => [7,5,1,3,6,2,8,4] => 0001111
[1,2,4,7,3,8,6,5] => [1,2,7,4,6,8,3,5] => [1,2,4,8,6,3,7,5] => 0000111
[3,1,8,6,2,7,5,4] => [3,6,1,5,8,7,4,2] => [7,5,4,8,6,1,3,2] => 0101111
[5,6,1,8,2,7,4,3] => [6,8,4,7,5,1,2,3] => [5,7,4,1,8,2,6,3] => 0010111
[4,2,7,8,1,6,5,3] => [8,4,5,2,6,1,7,3] => [6,5,2,4,1,7,8,3] => 0011101
[7,2,8,1,6,5,4,3] => [8,7,4,5,6,1,2,3] => [6,5,4,1,7,2,8,3] => 0011111
[3,8,7,1,6,5,4,2] => [7,4,3,5,6,1,8,2] => [3,6,5,4,1,8,7,2] => 0011111
[4,8,7,5,1,6,3,2] => [5,3,7,4,6,2,8,1] => [4,6,3,2,8,7,5,1] => 0101111
[6,7,8,5,1,4,3,2] => [5,3,4,1,8,6,7,2] => [4,3,1,6,7,8,5,2] => 0111001
[5,6,3,8,4,1,7,2] => [4,8,7,6,5,1,2,3] => [5,6,1,7,2,8,4,3] => 0010111
[8,3,7,5,1,6,4,2] => [5,4,7,6,8,3,1,2] => [8,3,6,4,1,7,5,2] => 0011111
[8,4,6,7,1,5,3,2] => [7,3,5,8,1,4,6,2] => [8,3,1,5,4,6,7,2] => 0101011
[3,4,6,5,1,2,8,7] => [5,1,3,4,6,2,8,7] => [3,4,6,5,1,2,8,7] => 0001101
[1,4,6,2,3,8,7,5] => [1,6,2,4,7,3,8,5] => [1,4,8,7,2,3,6,5] => 0000111
[7,2,1,6,3,8,5,4] => [2,7,6,5,8,1,3,4] => [8,5,2,1,6,3,7,4] => 1001111
[5,6,7,1,2,8,4,3] => [7,1,4,8,5,6,2,3] => [5,6,8,4,1,2,7,3] => 0010011
[4,7,5,1,2,8,6,3] => [5,1,7,4,6,8,3,2] => [4,8,6,3,7,5,1,2] => 0001111
[3,7,1,6,2,8,5,4] => [7,6,3,5,8,1,2,4] => [3,8,5,1,6,2,7,4] => 0001111
[7,8,1,2,6,5,4,3] => [8,1,4,5,6,2,7,3] => [6,5,4,1,2,7,8,3] => 0011101
[4,8,5,1,2,7,6,3] => [5,1,8,4,6,7,3,2] => [4,7,6,3,8,5,1,2] => 0001111
[4,1,5,3,8,2,7,6] => [4,8,5,1,3,7,2,6] => [5,1,7,3,4,2,8,6] => 0011011
[2,6,3,4,7,5,1,8] => [5,2,7,1,6,4,3,8] => [2,6,1,4,7,5,3,8] => 0001110
[2,7,4,3,5,8,1,6] => [8,2,4,7,3,1,5,6] => [2,7,4,3,8,1,5,6] => 0010011
[5,4,3,1,8,2,7,6] => [3,4,5,8,1,7,2,6] => [7,1,5,4,3,2,8,6] => 0111011
[5,4,1,8,3,2,6,7] => [4,3,5,8,2,1,6,7] => [8,3,2,5,4,1,6,7] => 0111001
[7,4,2,1,8,3,6,5] => [2,4,7,8,6,1,3,5] => [6,2,1,8,4,3,7,5] => 1010111
[6,5,3,4,8,2,7,1] => [7,8,5,3,6,4,2,1] => [6,5,3,4,8,2,7,1] => 0001111
[6,1,5,3,8,2,7,4] => [6,8,5,7,1,3,2,4] => [7,1,5,3,8,2,6,4] => 0001111
[4,6,3,1,8,2,7,5] => [3,6,8,4,7,2,1,5] => [4,7,2,8,3,1,6,5] => 0100111
[5,8,4,2,7,3,1,6] => [3,7,4,8,5,2,1,6] => [5,8,4,2,7,3,1,6] => 0110011
[8,2,6,4,7,3,1,5] => [3,7,8,6,2,1,4,5] => [6,2,8,3,1,7,4,5] => 0100111
[8,6,1,7,4,5,2,3] => [6,5,2,8,1,7,4,3] => [7,2,5,4,8,6,1,3] => 0001111
[8,1,3,7,2,6,5,4] => [8,7,1,5,6,2,3,4] => [6,5,1,7,2,3,8,4] => 0001111
[1,7,6,8,3,2,4,5] => [1,3,8,2,4,7,6,5] => [1,7,6,8,3,2,4,5] => 0100011
[1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => [1,2,6,3,4,7,5,8] => 0000110
[1,7,8,4,3,5,6,2] => [1,6,4,8,3,5,7,2] => [1,7,8,4,3,5,6,2] => 0010101
[2,6,1,7,3,5,4,8] => [6,2,7,5,3,1,4,8] => [2,5,3,7,1,6,4,8] => 0001110
[5,4,8,2,7,3,1,6] => [3,7,8,5,4,2,1,6] => [5,4,8,2,7,3,1,6] => 0101011
[4,6,8,2,7,3,1,5] => [3,7,8,4,2,6,1,5] => [4,6,8,2,7,3,1,5] => 0100011
[2,6,8,7,3,4,1,5] => [4,2,7,3,1,6,8,5] => [2,6,8,7,3,4,1,5] => 0010011
[6,8,1,7,2,5,4,3] => [8,7,4,5,2,6,1,3] => [5,4,2,6,7,1,8,3] => 0011011
[3,8,7,4,5,6,1,2] => [6,1,3,7,4,5,8,2] => [3,8,7,4,5,6,1,2] => 0000111
[2,7,6,3,5,4,1,8] => [4,2,5,6,1,7,3,8] => [2,7,6,1,5,4,3,8] => 0011110
[1,8,6,5,3,2,4,7] => [1,3,5,2,6,8,4,7] => [1,8,6,5,3,2,4,7] => 0101101
[3,8,7,4,6,2,5,1] => [5,6,3,7,2,4,8,1] => [3,8,7,2,6,4,5,1] => 0001111
[5,8,3,7,6,2,4,1] => [4,6,7,3,5,8,2,1] => [5,8,3,7,6,2,4,1] => 0010111
[8,7,2,5,4,3,1,6] => [3,4,5,7,2,1,8,6] => [8,7,2,5,4,3,1,6] => 0111011
[6,8,3,2,5,4,7,1] => [7,3,8,5,2,6,4,1] => [5,3,2,6,8,4,7,1] => 0101011
[6,8,4,5,2,3,7,1] => [7,5,2,8,4,6,3,1] => [6,8,4,5,2,3,7,1] => 0001011
[1,5,7,8,4,3,6,2] => [1,6,4,8,5,3,7,2] => [1,5,7,8,4,3,6,2] => 0010101
[6,3,8,1,5,4,7,2] => [8,7,6,5,1,3,4,2] => [5,1,6,3,7,4,8,2] => 0001111
[6,2,1,8,5,4,7,3] => [2,6,7,5,8,1,4,3] => [8,5,2,1,7,4,6,3] => 1001111
[2,4,7,5,8,1,6,3] => [8,2,6,4,7,1,5,3] => [2,4,7,1,6,5,8,3] => 0000111
[5,2,1,8,7,6,4,3] => [2,5,4,6,1,7,8,3] => [8,7,6,4,2,1,5,3] => 1011111
[4,8,6,7,5,3,1,2] => [3,1,5,4,7,8,6,2] => [4,8,6,7,5,3,1,2] => 0101011
[4,8,7,5,6,2,3,1] => [3,6,2,4,7,5,8,1] => [4,8,7,5,6,2,3,1] => 0100111
[6,5,4,8,2,1,7,3] => [2,8,7,5,6,4,1,3] => [6,5,4,7,2,1,8,3] => 1001111
[1,5,7,3,2,8,6,4] => [1,3,7,6,5,8,2,4] => [1,5,8,6,3,2,7,4] => 0100111
[5,2,1,4,3,6,7,8] => [2,5,4,1,3,6,7,8] => [4,2,1,5,3,6,7,8] => 1011000
[3,5,7,4,2,6,1,8] => [6,4,3,7,5,2,1,8] => [3,5,7,4,2,6,1,8] => 0010110
[3,6,4,5,1,2,7,8] => [5,1,3,6,4,2,7,8] => [3,6,4,5,1,2,7,8] => 0001100
[4,2,1,5,6,8,7,3] => [2,4,7,1,5,6,8,3] => [5,6,8,7,2,1,4,3] => 1010011
[2,1,4,3,6,5,10,9,7,8] => [2,1,4,3,6,5,9,7,10,8] => [2,1,4,3,6,5,10,9,7,8] => 101010011
[2,1,4,3,8,7,5,6,10,9] => [2,1,4,3,7,5,8,6,10,9] => [2,1,4,3,8,7,5,6,10,9] => 101001101
[2,1,6,5,3,4,8,7,10,9] => [2,1,5,3,6,4,8,7,10,9] => [2,1,6,5,3,4,8,7,10,9] => 100110101
[2,1,6,5,3,4,10,9,7,8] => [2,1,5,3,6,4,9,7,10,8] => [2,1,6,5,3,4,10,9,7,8] => 100110011
[4,3,1,2,6,5,8,7,10,9] => [3,1,4,2,6,5,8,7,10,9] => [4,3,1,2,6,5,8,7,10,9] => 011010101
[4,3,1,2,6,5,10,9,7,8] => [3,1,4,2,6,5,9,7,10,8] => [4,3,1,2,6,5,10,9,7,8] => 011010011
[4,3,1,2,8,7,5,6,10,9] => [3,1,4,2,7,5,8,6,10,9] => [4,3,1,2,8,7,5,6,10,9] => 011001101
[2,1,4,3,6,5,8,7,12,11,9,10] => [2,1,4,3,6,5,8,7,11,9,12,10] => [2,1,4,3,6,5,8,7,12,11,9,10] => 10101010011
[2,1,4,3,6,5,10,9,7,8,12,11] => [2,1,4,3,6,5,9,7,10,8,12,11] => [2,1,4,3,6,5,10,9,7,8,12,11] => 10101001101
[2,1,4,3,8,7,5,6,10,9,12,11] => [2,1,4,3,7,5,8,6,10,9,12,11] => [2,1,4,3,8,7,5,6,10,9,12,11] => 10100110101
[2,1,4,3,8,7,5,6,12,11,9,10] => [2,1,4,3,7,5,8,6,11,9,12,10] => [2,1,4,3,8,7,5,6,12,11,9,10] => 10100110011
[2,1,6,5,3,4,8,7,10,9,12,11] => [2,1,5,3,6,4,8,7,10,9,12,11] => [2,1,6,5,3,4,8,7,10,9,12,11] => 10011010101
[2,1,6,5,3,4,8,7,12,11,9,10] => [2,1,5,3,6,4,8,7,11,9,12,10] => [2,1,6,5,3,4,8,7,12,11,9,10] => 10011010011
[2,1,6,5,3,4,10,9,7,8,12,11] => [2,1,5,3,6,4,9,7,10,8,12,11] => [2,1,6,5,3,4,10,9,7,8,12,11] => 10011001101
[4,3,1,2,6,5,8,7,10,9,12,11] => [3,1,4,2,6,5,8,7,10,9,12,11] => [4,3,1,2,6,5,8,7,10,9,12,11] => 01101010101
[4,3,1,2,6,5,8,7,12,11,9,10] => [3,1,4,2,6,5,8,7,11,9,12,10] => [4,3,1,2,6,5,8,7,12,11,9,10] => 01101010011
[4,3,1,2,6,5,10,9,7,8,12,11] => [3,1,4,2,6,5,9,7,10,8,12,11] => [4,3,1,2,6,5,10,9,7,8,12,11] => 01101001101
[4,3,1,2,8,7,5,6,10,9,12,11] => [3,1,4,2,7,5,8,6,10,9,12,11] => [4,3,1,2,8,7,5,6,10,9,12,11] => 01100110101
[4,3,1,2,8,7,5,6,12,11,9,10] => [3,1,4,2,7,5,8,6,11,9,12,10] => [4,3,1,2,8,7,5,6,12,11,9,10] => 01100110011
[7,6,5,4,3,2,9,1,8] => [9,3,4,5,6,7,2,1,8] => [7,6,5,4,3,2,9,1,8] => 01111101
[2,4,6,8,1,3,5,7,9] => [8,2,1,4,3,6,5,7,9] => [2,4,6,8,1,3,5,7,9] => 00000010
[8,7,6,5,4,3,2,10,1,9] => [10,3,4,5,6,7,8,2,1,9] => [8,7,6,5,4,3,2,10,1,9] => 011111101
[2,1,7,3,8,4,6,5] => [2,1,7,8,6,4,3,5] => [2,1,6,4,8,3,7,5] => 1000111
[4,1,8,2,7,3,6,5] => [4,8,7,1,6,3,2,5] => [6,1,7,3,4,2,8,5] => 0010111
[4,1,7,2,8,3,6,5] => [4,7,8,1,6,3,2,5] => [6,1,8,3,4,2,7,5] => 0010111
[7,1,3,2,8,4,6,5] => [7,3,1,8,6,4,2,5] => [3,1,6,4,8,2,7,5] => 0100111
[7,1,8,2,4,3,6,5] => [7,8,4,2,6,3,1,5] => [4,2,6,3,8,1,7,5] => 0010111
[8,1,7,2,5,3,6,4] => [8,7,5,6,2,3,1,4] => [6,2,5,3,7,1,8,4] => 0001111
[5,1,7,2,8,3,6,4] => [5,7,8,6,1,3,2,4] => [6,1,8,3,7,2,5,4] => 0001111
[5,1,8,2,7,3,6,4] => [5,8,7,6,1,3,2,4] => [6,1,7,3,8,2,5,4] => 0001111
[5,1,8,2,4,3,7,6] => [5,8,4,2,1,7,3,6] => [4,2,7,1,5,3,8,6] => 0011011
[8,1,6,2,4,3,7,5] => [8,6,4,2,7,1,3,5] => [4,2,7,1,6,3,8,5] => 0010111
[6,1,8,2,4,3,7,5] => [6,8,4,2,7,1,3,5] => [4,2,7,1,8,3,6,5] => 0010111
[8,1,6,2,5,3,7,4] => [8,6,5,7,2,1,3,4] => [7,2,5,1,6,3,8,4] => 0001111
[8,1,6,2,7,3,5,4] => [8,6,7,5,3,1,2,4] => [5,3,7,1,6,2,8,4] => 0001111
[6,1,7,2,4,3,8,5] => [6,7,4,2,8,1,3,5] => [4,2,8,1,7,3,6,5] => 0010111
[5,1,6,2,4,3,8,7] => [5,6,4,2,1,3,8,7] => [4,2,6,1,5,3,8,7] => 0011101
[7,1,5,2,4,3,8,6] => [7,5,4,2,1,8,3,6] => [4,2,5,1,8,3,7,6] => 0011011
[7,1,6,2,5,3,8,4] => [7,6,5,8,2,1,3,4] => [8,2,5,1,6,3,7,4] => 0001111
[7,1,8,2,6,3,5,4] => [7,8,6,5,3,2,1,4] => [5,3,6,2,8,1,7,4] => 0001111
[1,8,6,4,7,2,3,5] => [1,7,2,6,3,8,4,5] => [1,8,6,2,3,7,4,5] => 0000111
[1,8,4,2,6,3,5,7] => [1,4,8,6,2,3,5,7] => [1,6,2,8,4,3,5,7] => 0010101
[5,1,7,4,3,6,2,8] => [5,6,4,7,1,3,2,8] => [7,4,1,6,3,5,2,8] => 0011110
[1,8,5,4,3,6,2,7] => [1,6,4,5,8,3,2,7] => [1,8,5,4,3,6,2,7] => 0011101
[1,8,5,4,2,6,7,3] => [1,4,5,8,7,2,6,3] => [1,7,2,6,8,5,4,3] => 0011011
[7,4,8,2,1,3,5,6] => [2,8,1,7,3,5,4,6] => [7,2,1,3,5,8,4,6] => 1000011
[6,5,4,3,7,1,8,2] => [7,8,4,5,6,3,1,2] => [6,5,4,3,8,1,7,2] => 0011111
[6,5,1,7,3,8,2,4] => [5,6,8,3,7,2,1,4] => [7,3,8,2,6,5,1,4] => 0001111
[7,6,3,8,5,4,1,2] => [4,1,5,8,6,7,3,2] => [7,6,3,8,5,4,1,2] => 0011111
[6,5,8,3,1,7,4,2] => [3,8,4,7,6,5,2,1] => [6,5,7,4,2,8,3,1] => 0110111
[5,4,8,2,1,7,3,6] => [2,8,7,5,4,3,1,6] => [5,4,7,3,8,2,1,6] => 1001011
[5,4,3,7,1,6,2,8] => [7,6,4,5,3,1,2,8] => [5,4,3,6,1,7,2,8] => 0011110
[6,4,2,8,5,1,3,7] => [5,4,2,8,6,1,3,7] => [6,4,2,8,5,1,3,7] => 0011101
[7,6,4,8,5,1,2,3] => [5,1,2,8,6,7,3,4] => [7,6,1,2,3,8,5,4] => 0001111
[7,2,8,6,1,5,3,4] => [6,8,5,3,2,7,1,4] => [5,3,7,2,8,6,1,4] => 0001111
[2,1,7,8,3,6,4,5] => [2,1,8,6,4,3,7,5] => [2,1,6,4,7,8,3,5] => 1000101
[6,4,1,7,8,2,3,5] => [4,6,1,8,3,2,7,5] => [7,8,1,3,6,4,2,5] => 0010101
[4,3,1,5,2,7,6,8] => [3,4,5,2,1,7,6,8] => [5,2,4,3,1,7,6,8] => 0111010
[6,3,1,7,8,5,2,4] => [3,6,5,1,8,2,7,4] => [7,8,5,1,6,3,2,4] => 0101101
[5,4,1,7,8,2,6,3] => [4,5,8,6,2,3,7,1] => [6,2,7,8,3,5,4,1] => 0011101
[6,5,4,1,7,8,3,2] => [4,3,5,6,8,1,7,2] => [7,8,3,1,6,5,4,2] => 0111101
[6,5,4,2,7,8,3,1] => [3,8,4,5,6,1,7,2] => [6,5,4,1,7,8,3,2] => 0111101
[5,4,2,6,3,8,7,1] => [7,4,5,6,3,2,8,1] => [6,3,5,4,2,8,7,1] => 0011111
[4,3,1,5,2,6,8,7] => [3,4,5,2,1,6,8,7] => [5,2,4,3,1,6,8,7] => 0111001
[5,4,2,1,6,7,8,3] => [2,4,5,8,3,6,7,1] => [6,7,8,3,5,4,2,1] => 1011001
[5,4,3,1,6,7,8,2] => [3,4,5,8,1,6,7,2] => [6,7,8,1,5,4,3,2] => 0111001
[3,6,7,1,2,5,8,4] => [7,1,3,8,2,6,5,4] => [3,6,8,1,2,5,7,4] => 0000011
[7,8,1,3,2,4,6,5] => [8,3,1,2,6,4,7,5] => [3,1,6,2,4,7,8,5] => 0100101
[5,2,3,7,1,8,6,4] => [7,5,2,6,3,8,1,4] => [8,6,2,3,5,1,7,4] => 0001111
[2,6,7,3,1,8,4,5] => [3,2,7,8,4,6,1,5] => [2,6,8,4,7,3,1,5] => 0100011
[4,3,1,2,7,8,6,5] => [3,1,4,2,6,8,7,5] => [4,3,1,2,7,8,6,5] => 0110101
[5,3,4,7,8,6,1,2] => [6,1,5,3,4,8,7,2] => [5,3,4,7,8,6,1,2] => 0001101
[1,6,7,3,2,4,8,5] => [1,3,7,2,8,6,4,5] => [1,6,8,3,2,4,7,5] => 0100011
[1,5,3,6,2,7,8,4] => [1,6,5,8,3,2,7,4] => [1,7,8,3,5,2,6,4] => 0001101
[5,2,4,7,8,1,6,3] => [8,5,6,2,4,1,7,3] => [6,2,4,5,1,7,8,3] => 0001101
[4,2,5,7,6,1,8,3] => [6,4,7,2,5,8,3,1] => [5,8,2,4,3,7,6,1] => 0010111
[4,5,2,8,6,1,7,3] => [6,5,8,4,2,7,3,1] => [4,7,2,5,3,8,6,1] => 0001111
[6,1,8,3,2,4,7,5] => [6,3,8,2,7,1,4,5] => [7,3,2,8,1,4,6,5] => 0100111
[4,3,5,7,6,8,1,2] => [8,1,4,3,5,7,6,2] => [4,3,5,7,6,8,1,2] => 0010011
[7,6,5,4,2,1,8,3] => [2,4,5,6,7,8,3,1] => [8,3,7,6,5,4,2,1] => 1011111
[8,7,6,5,4,2,1,9,3] => [2,4,5,6,7,8,9,1,3] => [9,2,1,8,7,6,5,4,3] => 10111111
[8,7,6,4,3,2,1,9,5] => [2,3,4,6,7,8,9,1,5] => [9,4,3,2,1,8,7,6,5] => 11101111
[8,5,4,3,2,1,7,6] => [2,3,4,5,8,7,1,6] => [7,5,4,3,2,1,8,6] => 1111011
[8,6,5,4,3,2,1,9,7] => [2,3,4,5,6,8,9,1,7] => [9,6,5,4,3,2,1,8,7] => 11111011
[7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,1,9,8] => [7,6,5,4,3,2,1,9,8] => 11111101
[7,6,5,4,1,8,3,2] => [4,3,5,6,7,8,2,1] => [8,3,2,7,6,5,4,1] => 0111111
[9,8,7,6,5,4,2,1,10,3] => [2,4,5,6,7,8,9,10,3,1] => [10,3,9,8,7,6,5,4,2,1] => 101111111
[7,6,5,2,8,1,4,3] => [8,5,4,1,6,7,2,3] => [4,1,7,6,5,2,8,3] => 0011111
[7,6,5,8,4,1,3,2] => [4,3,1,8,6,7,5,2] => [3,1,7,6,5,8,4,2] => 0110111
[7,8,6,3,2,1,5,4] => [2,3,6,5,1,8,7,4] => [5,3,2,1,7,8,6,4] => 1101101
[8,7,4,3,2,1,6,5] => [2,3,4,7,6,1,8,5] => [6,4,3,2,1,8,7,5] => 1110111
[9,6,5,4,3,2,1,8,7] => [2,3,4,5,6,9,8,1,7] => [8,6,5,4,3,2,1,9,7] => 11111011
[9,7,6,5,4,3,2,1,10,8] => [2,3,4,5,6,7,9,10,1,8] => [10,7,6,5,4,3,2,1,9,8] => 111111011
[4,6,7,2,5,1,3,8] => [5,7,1,4,2,6,3,8] => [4,6,7,1,5,2,3,8] => 0001010
[7,8,1,3,2,4,5,6] => [8,3,1,2,4,5,7,6] => [3,1,7,8,2,4,5,6] => 0100001
[7,8,4,1,5,2,3,6] => [4,8,1,5,2,3,7,6] => [5,1,7,8,4,2,3,6] => 0011001
[2,6,7,3,1,4,5,8] => [3,2,7,1,4,6,5,8] => [2,6,7,3,1,4,5,8] => 0100010
[4,6,7,3,5,8,1,2] => [8,1,7,4,3,6,5,2] => [4,6,7,3,5,8,1,2] => 0000011
[3,2,5,6,1,4,7,8] => [6,3,2,1,5,4,7,8] => [3,2,5,6,1,4,7,8] => 0100100
[1,5,4,6,7,2,3,8] => [1,7,2,5,4,6,3,8] => [1,5,4,6,7,2,3,8] => 0001010
[1,6,7,3,2,4,5,8] => [1,3,7,2,4,6,5,8] => [1,6,7,3,2,4,5,8] => 0100010
[5,1,3,6,2,4,7,8] => [5,6,1,2,3,4,7,8] => [6,1,5,2,3,4,7,8] => 0001100
[2,5,4,6,7,1,3,8] => [7,2,1,5,4,6,3,8] => [2,5,4,6,7,1,3,8] => 0001010
[4,2,5,6,7,1,3,8] => [7,4,1,2,5,6,3,8] => [4,1,5,6,7,2,3,8] => 0010010
[4,5,2,6,7,1,3,8] => [7,5,1,4,2,6,3,8] => [4,5,1,6,7,2,3,8] => 0001010
[6,1,7,4,5,2,3,8] => [6,5,2,7,4,1,3,8] => [7,4,5,2,6,1,3,8] => 0001110
[7,3,2,5,4,1,6,8] => [4,3,5,7,1,2,6,8] => [7,3,1,5,4,2,6,8] => 0111010
[1,3,6,7,5,2,8,4] => [1,5,3,7,8,6,4,2] => [1,3,6,8,4,7,5,2] => 0001011
[7,3,4,1,5,6,2,8] => [4,6,7,3,1,5,2,8] => [7,3,5,6,1,4,2,8] => 0010110
[7,3,2,5,1,6,4,8] => [5,3,7,6,2,1,4,8] => [6,3,2,7,1,5,4,8] => 0101110
[1,3,6,7,2,5,8,4] => [1,7,3,8,2,6,5,4] => [1,3,6,8,2,5,7,4] => 0000011
[1,7,4,6,2,8,5,3] => [1,6,5,8,7,3,2,4] => [1,7,3,8,5,2,6,4] => 0001111
[5,6,1,4,7,3,8,2] => [6,8,7,1,5,4,3,2] => [5,7,1,4,8,3,6,2] => 0000111
[5,3,2,1,7,4,8,6] => [2,3,5,7,1,8,4,6] => [8,3,2,1,5,4,7,6] => 1101011
[1,3,4,5,8,7,2,6] => [1,7,3,4,5,2,8,6] => [1,3,4,5,8,7,2,6] => 0000011
[6,3,4,5,8,1,7,2] => [8,7,6,3,4,5,1,2] => [6,3,4,5,7,1,8,2] => 0000111
[2,4,5,1,6,8,7,3] => [5,2,7,4,1,6,8,3] => [2,4,6,8,7,1,5,3] => 0001011
[3,1,2,5,6,8,7,4] => [3,1,2,7,5,6,8,4] => [3,1,2,5,6,8,7,4] => 0100011
[4,3,2,5,6,8,1,7] => [8,3,4,2,5,6,1,7] => [4,3,2,5,6,8,1,7] => 0110001
[3,7,5,4,6,8,1,2] => [8,1,3,5,7,4,6,2] => [3,7,5,4,6,8,1,2] => 0001011
[3,1,4,6,5,8,2,7] => [3,8,1,4,6,5,2,7] => [4,6,5,8,1,3,2,7] => 0100101
[2,3,4,5,8,6,1,7] => [6,2,3,4,5,8,1,7] => [2,3,4,5,8,6,1,7] => 0000101
[2,3,4,5,8,1,7,6] => [8,2,3,4,5,7,1,6] => [2,3,4,5,7,1,8,6] => 0000011
[5,6,1,4,7,2,8,3] => [6,7,8,1,5,4,2,3] => [5,8,1,4,7,2,6,3] => 0000111
[4,3,1,7,6,5,8,2] => [3,4,8,2,6,7,5,1] => [7,6,5,8,2,4,3,1] => 0110111
[1,4,5,2,6,8,7,3] => [1,5,7,4,2,6,8,3] => [1,4,6,8,7,2,5,3] => 0001011
[3,7,5,2,6,8,1,4] => [8,5,3,1,7,2,6,4] => [3,7,5,1,6,8,2,4] => 0001011
[5,3,2,1,4,7,8,6] => [2,3,5,1,4,8,7,6] => [5,3,2,1,4,7,8,6] => 1101001
[5,3,1,4,2,7,8,6] => [3,5,4,2,1,8,7,6] => [4,2,5,3,1,7,8,6] => 0111001
[5,3,1,2,4,7,8,6] => [3,1,5,2,4,8,7,6] => [5,3,1,2,4,7,8,6] => 0101001
[7,1,5,2,6,8,3,4] => [7,5,8,3,1,2,6,4] => [8,3,5,1,6,7,2,4] => 0001011
[2,7,4,6,1,8,5,3] => [6,2,5,8,7,3,1,4] => [2,7,3,8,5,1,6,4] => 0001111
[2,3,6,7,1,5,8,4] => [7,2,3,8,1,6,5,4] => [2,3,6,8,1,5,7,4] => 0000011
[7,3,4,5,8,1,6,2] => [8,6,7,3,4,1,5,2] => [7,3,4,6,1,5,8,2] => 0000111
[1,3,4,5,8,6,2,7] => [1,6,3,4,5,8,2,7] => [1,3,4,5,8,6,2,7] => 0000101
[1,3,4,5,8,2,7,6] => [1,8,3,4,5,7,2,6] => [1,3,4,5,7,2,8,6] => 0000011
[6,3,4,5,8,2,7,1] => [7,8,6,3,4,5,2,1] => [6,3,4,5,8,2,7,1] => 0000111
[7,3,4,5,8,6,2,1] => [2,6,8,1,4,7,5,3] => [7,2,1,4,5,8,6,3] => 1000111
[7,3,2,5,6,8,4,1] => [4,3,8,7,1,5,6,2] => [7,3,1,5,6,8,4,2] => 0110011
[5,7,4,6,1,8,3,2] => [6,3,8,7,5,4,1,2] => [5,7,4,8,3,1,6,2] => 0100111
[6,3,4,5,8,1,2,7] => [8,1,6,3,4,5,2,7] => [6,3,4,5,8,1,2,7] => 0000101
[7,3,4,5,8,2,1,6] => [2,8,7,3,4,1,5,6] => [7,3,4,8,2,1,5,6] => 1000011
[4,7,6,1,8,2,5,3] => [6,7,5,4,1,8,2,3] => [4,5,1,8,2,7,6,3] => 0001111
[8,6,4,2,7,5,3,1] => [3,5,4,7,6,8,2,1] => [8,6,4,2,7,5,3,1] => 0111111
[8,4,7,3,6,5,1,2] => [5,1,6,7,8,4,2,3] => [8,4,7,1,2,6,5,3] => 0001111
[6,4,7,1,8,3,2,5] => [7,3,8,6,2,4,1,5] => [6,3,2,8,4,7,1,5] => 0100111
[7,4,8,3,6,1,5,2] => [6,5,8,7,1,3,4,2] => [7,1,8,3,5,4,6,2] => 0001111
[7,8,4,3,6,2,5,1] => [5,6,4,8,2,3,7,1] => [7,8,4,2,6,3,5,1] => 0011101
[2,1,8,6,3,5,4,7] => [2,1,6,5,3,8,4,7] => [2,1,5,3,8,6,4,7] => 1001101
[2,1,7,3,5,8,6,4] => [2,1,7,6,3,8,5,4] => [2,1,8,6,3,5,7,4] => 1000111
[2,1,8,6,3,5,7,4] => [2,1,6,8,4,7,5,3] => [2,1,7,4,5,8,6,3] => 1000111
[2,7,3,1,4,8,5,6] => [3,2,7,1,8,5,4,6] => [2,8,5,7,3,1,4,6] => 0100011
[3,2,1,6,4,5,7,8] => [2,3,1,6,4,5,7,8] => [3,2,1,6,4,5,7,8] => 1100100
[3,2,1,5,7,8,4,6] => [2,3,1,8,5,4,7,6] => [3,2,1,5,7,8,4,6] => 1100001
[2,7,3,1,5,6,8,4] => [3,2,7,8,1,5,6,4] => [2,8,3,1,5,6,7,4] => 0100011
[2,1,6,8,3,7,4,5] => [2,1,8,7,4,6,3,5] => [2,1,6,7,4,8,3,5] => 1000011
[2,1,8,3,5,7,4,6] => [2,1,8,7,3,4,5,6] => [2,1,7,3,8,4,5,6] => 1000011
[3,2,1,5,6,8,4,7] => [2,3,1,8,5,6,4,7] => [3,2,1,5,6,8,4,7] => 1100001
[8,2,1,7,3,5,4,6] => [2,8,7,5,3,4,1,6] => [5,3,7,4,8,2,1,6] => 1001011
[8,2,4,1,7,5,3,6] => [4,8,5,2,7,3,1,6] => [7,5,2,8,3,4,1,6] => 0011011
[5,8,6,3,1,7,4,2] => [3,6,4,8,5,7,1,2] => [5,7,4,1,8,6,3,2] => 0110111
[6,2,1,7,8,3,5,4] => [2,6,8,5,3,1,7,4] => [5,3,7,8,2,1,6,4] => 1001101
[2,7,1,8,3,5,6,4] => [7,2,8,6,3,5,1,4] => [2,6,3,5,8,1,7,4] => 0000111
[2,1,8,3,6,4,5,7] => [2,1,8,6,4,3,5,7] => [2,1,6,4,8,3,5,7] => 1000101
[3,2,1,6,8,4,5,7] => [2,3,1,8,4,6,5,7] => [3,2,1,6,8,4,5,7] => 1100001
[2,1,8,3,7,4,5,6] => [2,1,8,7,4,5,3,6] => [2,1,7,4,5,8,3,6] => 1000011
[2,1,8,3,6,7,4,5] => [2,1,8,7,4,3,6,5] => [2,1,7,4,6,8,3,5] => 1000011
[3,2,1,8,4,5,6,7] => [2,3,1,8,4,5,6,7] => [3,2,1,8,4,5,6,7] => 1100001
[3,8,1,5,7,2,4,6] => [8,7,3,2,1,4,5,6] => [3,7,2,8,1,4,5,6] => 0000011
[1,2,6,8,4,7,3,5] => [1,2,7,8,3,6,4,5] => [1,2,6,8,3,7,4,5] => 0000011
[6,1,5,8,2,4,7,3] => [6,8,7,2,1,5,4,3] => [7,2,5,8,1,4,6,3] => 0000111
[4,1,2,7,8,3,6,5] => [4,1,8,2,6,3,7,5] => [6,1,2,4,3,7,8,5] => 0010101
[3,5,7,4,8,6,1,2] => [6,1,3,8,5,7,2,4] => [3,5,7,1,2,8,6,4] => 0000111
[5,3,8,4,7,6,1,2] => [6,1,5,7,3,8,2,4] => [8,3,5,1,2,7,6,4] => 0001111
[5,8,1,2,3,7,6,4] => [8,1,2,6,5,7,3,4] => [5,7,6,1,2,3,8,4] => 0000111
[6,1,2,8,7,4,5,3] => [6,1,5,7,4,2,8,3] => [8,7,4,5,1,2,6,3] => 0001111
[7,1,6,2,8,4,5,3] => [7,6,5,8,4,1,2,3] => [8,4,5,1,6,2,7,3] => 0001111
[1,2,6,3,8,5,4,7] => [1,2,6,5,8,3,4,7] => [1,2,8,5,3,6,4,7] => 0001101
[1,2,7,3,8,5,4,6] => [1,2,7,5,8,4,3,6] => [1,2,8,5,4,7,3,6] => 0001011
[1,6,2,8,4,3,5,7] => [1,6,4,8,3,2,5,7] => [1,8,4,3,6,2,5,7] => 0010101
[1,6,4,2,7,3,5,8] => [1,4,6,7,2,3,5,8] => [1,7,2,6,4,3,5,8] => 0010110
[1,8,6,3,2,4,5,7] => [1,3,6,2,4,8,5,7] => [1,8,6,3,2,4,5,7] => 0100101
[3,1,7,8,6,2,4,5] => [3,6,1,2,4,8,7,5] => [7,8,6,1,3,2,4,5] => 0100101
[1,8,7,3,5,6,2,4] => [1,6,7,2,3,5,8,4] => [1,8,7,2,5,6,3,4] => 0000111
[1,8,3,2,6,4,5,7] => [1,3,8,6,4,2,5,7] => [1,6,4,8,3,2,5,7] => 0100101
[1,7,6,3,2,4,5,8] => [1,3,6,2,4,7,5,8] => [1,7,6,3,2,4,5,8] => 0100110
[1,2,8,4,3,7,5,6] => [1,2,4,8,7,5,3,6] => [1,2,7,5,8,4,3,6] => 0010011
[8,5,1,7,2,4,6,3] => [5,8,7,3,6,4,2,1] => [6,3,4,7,2,8,5,1] => 0001111
[1,2,7,5,3,6,4,8] => [1,2,5,7,6,4,3,8] => [1,2,6,4,7,5,3,8] => 0001110
[1,2,3,7,5,4,8,6] => [1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => 0001011
[1,8,2,7,6,4,5,3] => [1,8,5,6,4,7,2,3] => [1,7,6,4,5,2,8,3] => 0001111
[2,8,7,6,5,1,4,3] => [5,2,4,1,6,7,8,3] => [2,4,1,8,7,6,5,3] => 0011111
[7,1,6,3,2,5,4,8] => [7,3,6,5,2,1,4,8] => [5,3,2,6,1,7,4,8] => 0101110
[1,8,4,3,6,5,2,7] => [1,5,4,6,8,2,3,7] => [1,8,4,2,6,5,3,7] => 0011101
[7,3,1,2,4,6,5,8] => [3,1,7,2,6,4,5,8] => [6,3,1,2,4,7,5,8] => 0100110
[1,8,6,3,4,5,2,7] => [1,5,6,3,4,8,2,7] => [1,8,6,3,4,5,2,7] => 0001101
[3,6,2,1,4,8,5,7] => [2,6,3,1,8,4,5,7] => [3,8,2,1,4,6,5,7] => 1000101
[3,1,7,2,4,6,8,5] => [3,7,1,2,8,4,6,5] => [8,1,3,2,4,6,7,5] => 0100011
[3,4,7,1,5,2,8,6] => [7,5,3,4,1,8,2,6] => [3,4,5,1,8,2,7,6] => 0001011
[3,6,7,4,1,5,8,2] => [4,7,3,8,2,6,5,1] => [3,6,8,2,5,7,4,1] => 0010011
[3,1,2,8,6,5,4,7] => [3,1,2,5,6,8,4,7] => [3,1,2,8,6,5,4,7] => 0101101
[5,4,8,6,1,2,3,7] => [6,1,2,5,4,8,3,7] => [5,4,8,6,1,2,3,7] => 0001101
[6,5,8,2,3,7,1,4] => [7,8,2,1,6,5,3,4] => [6,5,8,2,7,1,3,4] => 0000111
[2,4,8,1,6,3,7,5] => [8,2,6,4,7,1,3,5] => [2,4,7,1,6,3,8,5] => 0000111
[5,3,2,6,4,8,1,7] => [8,3,5,6,2,4,1,7] => [6,3,2,5,4,8,1,7] => 0101101
[4,1,6,3,5,8,2,7] => [4,8,6,1,3,5,2,7] => [6,1,5,8,3,4,2,7] => 0010101
[1,8,4,5,2,6,7,3] => [1,5,7,8,4,2,6,3] => [1,8,4,6,7,2,5,3] => 0001011
[4,1,2,7,6,5,8,3] => [4,1,8,2,6,7,5,3] => [7,6,5,8,1,2,4,3] => 0010111
[5,6,7,3,2,8,1,4] => [8,3,7,1,5,6,2,4] => [5,6,7,3,1,8,2,4] => 0100011
[5,3,2,1,4,8,6,7] => [2,3,5,1,4,8,6,7] => [5,3,2,1,4,8,6,7] => 1101001
[3,6,7,8,1,4,5,2] => [8,5,3,1,4,6,7,2] => [3,5,1,4,6,7,8,2] => 0001001
[7,3,2,6,8,5,1,4] => [5,3,8,2,7,1,6,4] => [7,3,2,6,8,5,1,4] => 0101011
[1,8,4,2,3,5,7,6] => [1,4,2,8,3,7,5,6] => [1,7,4,2,3,5,8,6] => 0010011
[6,4,2,8,3,5,1,7] => [5,4,6,8,2,3,1,7] => [8,2,6,4,3,5,1,7] => 0011101
[6,3,4,8,2,5,7,1] => [7,8,6,3,2,4,5,1] => [6,3,8,2,4,5,7,1] => 0000111
[8,4,6,2,7,5,3,1] => [3,5,7,6,8,2,4,1] => [8,2,6,4,7,5,3,1] => 0101111
[8,5,6,7,2,4,3,1] => [3,4,7,1,8,5,6,2] => [8,5,6,7,1,4,3,2] => 0110011
[6,5,7,8,4,1,3,2] => [4,3,1,8,6,5,7,2] => [3,1,6,5,7,8,4,2] => 0110101
[7,5,6,8,2,4,1,3] => [4,8,1,2,7,5,6,3] => [7,5,6,8,1,4,2,3] => 0010011
[3,5,6,8,2,4,1,7] => [4,8,3,2,5,6,1,7] => [3,5,6,8,2,4,1,7] => 0010001
[3,5,6,8,4,2,1,7] => [2,4,3,8,5,6,1,7] => [3,5,6,8,4,2,1,7] => 1010001
[3,6,7,8,1,4,2,5] => [8,4,3,1,2,6,7,5] => [3,4,1,6,7,8,2,5] => 0010001
[3,5,7,8,2,1,4,6] => [2,8,3,1,5,4,7,6] => [3,5,7,8,2,1,4,6] => 1000001
[2,6,7,8,1,4,3,5] => [8,2,4,1,3,6,7,5] => [2,4,1,6,7,8,3,5] => 0010001
[2,5,7,8,3,1,4,6] => [3,2,8,1,5,4,7,6] => [2,5,7,8,3,1,4,6] => 0100001
[6,4,7,3,8,1,5,2] => [8,5,7,6,1,4,3,2] => [6,1,7,4,5,3,8,2] => 0001111
[7,4,6,3,8,2,1,5] => [2,8,6,7,1,4,3,5] => [7,2,1,6,4,8,3,5] => 1000111
[6,4,5,2,3,8,1,7] => [8,5,2,6,4,3,1,7] => [6,4,5,2,3,8,1,7] => 0001101
[5,4,6,3,8,2,1,7] => [2,8,6,5,4,3,1,7] => [5,4,6,3,8,2,1,7] => 1001101
[2,5,7,8,3,1,6,4] => [3,2,8,6,5,1,7,4] => [2,5,6,3,1,7,8,4] => 0100101
[4,5,7,8,3,1,2,6] => [3,1,8,4,5,2,7,6] => [4,5,7,8,3,1,2,6] => 0100001
[4,6,7,8,1,5,2,3] => [8,5,2,4,1,6,7,3] => [4,5,2,6,7,8,1,3] => 0001001
[4,5,7,8,2,1,6,3] => [2,8,6,4,5,1,7,3] => [4,5,6,2,1,7,8,3] => 1000101
[5,4,7,2,8,1,6,3] => [8,7,6,5,4,1,2,3] => [5,4,6,1,7,2,8,3] => 0001111
[4,3,2,7,8,1,6,5] => [8,3,4,2,6,1,7,5] => [4,3,2,6,1,7,8,5] => 0110101
[3,6,7,8,1,5,2,4] => [8,5,3,2,1,6,7,4] => [3,5,2,6,7,8,1,4] => 0001001
[2,6,7,8,1,5,4,3] => [8,2,4,5,1,6,7,3] => [2,5,4,1,6,7,8,3] => 0011001
[3,2,6,7,5,1,4,8] => [5,3,2,1,7,6,4,8] => [3,2,6,7,5,1,4,8] => 0101010
[2,7,1,3,5,4,8,6] => [7,2,1,5,3,8,4,6] => [2,5,1,3,8,4,7,6] => 0001011
[4,7,2,1,5,8,6,3] => [2,7,6,4,1,8,5,3] => [4,8,6,2,1,5,7,3] => 1000111
[3,1,4,8,2,6,7,5] => [3,8,1,4,7,2,6,5] => [4,7,1,3,2,6,8,5] => 0100011
[4,8,6,2,1,5,7,3] => [2,6,8,4,3,7,5,1] => [4,7,3,5,8,6,2,1] => 1000111
[4,8,3,6,5,1,7,2] => [5,6,7,4,8,1,2,3] => [4,8,1,7,2,6,5,3] => 0001111
[6,4,7,3,5,1,8,2] => [5,8,7,6,3,4,1,2] => [6,3,7,4,8,1,5,2] => 0001111
[6,4,7,5,1,8,2,3] => [5,7,1,8,6,3,2,4] => [6,1,3,8,2,7,5,4] => 0001111
[3,6,1,7,5,8,2,4] => [6,8,3,2,7,1,5,4] => [3,7,2,8,5,6,1,4] => 0000111
[4,7,3,5,6,1,8,2] => [6,8,7,4,3,5,1,2] => [4,7,3,5,8,1,6,2] => 0000111
[4,6,8,2,1,5,7,3] => [2,8,7,4,1,6,5,3] => [4,6,7,2,1,5,8,3] => 1000011
[1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => [1,7,2,3,8,4,5,6] => 0000011
[2,7,3,6,1,4,5,8] => [6,2,7,1,4,3,5,8] => [2,7,1,4,6,3,5,8] => 0000110
[4,6,2,8,1,5,3,7] => [8,6,5,4,1,2,3,7] => [4,5,1,6,2,8,3,7] => 0001101
[8,5,1,2,6,3,4,7] => [5,1,8,2,6,3,4,7] => [6,1,2,8,5,3,4,7] => 0001101
[1,6,2,7,4,8,3,5] => [1,6,8,7,3,2,4,5] => [1,7,3,8,2,6,4,5] => 0000111
[6,2,1,7,8,5,3,4] => [2,6,5,3,8,1,7,4] => [7,8,5,3,6,2,1,4] => 1001101
[6,7,3,8,4,1,5,2] => [4,8,5,7,2,6,1,3] => [6,7,2,5,1,8,4,3] => 0011011
[8,2,4,5,1,6,7,3] => [5,8,7,2,4,1,6,3] => [7,2,4,6,8,1,5,3] => 0001011
[4,5,8,3,6,7,1,2] => [7,1,8,4,5,3,6,2] => [4,5,8,3,6,7,1,2] => 0000011
[4,2,8,3,7,1,6,5] => [7,4,8,2,6,1,3,5] => [6,2,4,1,8,3,7,5] => 0010111
[7,6,3,8,4,5,1,2] => [5,1,6,7,3,8,4,2] => [8,3,7,6,4,5,1,2] => 0001111
[7,2,3,8,5,1,4,6] => [5,8,1,2,7,4,3,6] => [7,1,4,8,5,2,3,6] => 0001011
[7,2,3,8,5,1,6,4] => [5,8,1,7,6,2,4,3] => [6,1,7,4,8,5,2,3] => 0001111
[7,2,3,8,4,1,5,6] => [4,8,1,7,2,5,3,6] => [7,1,5,8,4,2,3,6] => 0010011
[7,2,3,5,8,1,4,6] => [8,7,2,1,3,4,5,6] => [7,2,8,1,3,4,5,6] => 0000011
[7,8,2,3,6,1,4,5] => [6,8,2,1,4,3,7,5] => [7,8,2,4,6,1,3,5] => 0000101
[2,6,4,8,1,3,7,5] => [8,2,1,6,7,4,3,5] => [2,7,4,6,1,3,8,5] => 0000111
[7,6,5,1,2,3,8,4] => [5,1,2,6,7,8,3,4] => [8,1,2,3,7,6,5,4] => 0001111
[3,5,6,4,1,2,7,8] => [4,1,3,6,5,2,7,8] => [3,5,6,4,1,2,7,8] => 0010100
[3,5,6,4,1,2,8,7] => [4,1,3,6,5,2,8,7] => [3,5,6,4,1,2,8,7] => 0010101
[7,6,5,1,4,2,3,8] => [5,4,2,1,6,7,3,8] => [4,2,7,6,5,1,3,8] => 0011110
[7,6,5,1,2,4,8,3] => [5,1,6,2,7,8,4,3] => [8,1,2,4,7,6,5,3] => 0001111
[7,6,5,1,3,4,2,8] => [5,4,1,3,6,7,2,8] => [4,1,3,7,6,5,2,8] => 0011110
[2,6,4,3,1,5,8,7] => [3,2,4,6,1,5,8,7] => [2,6,4,3,1,5,8,7] => 0110101
[2,6,4,3,1,8,5,7] => [3,2,4,6,8,1,5,7] => [2,8,4,3,1,6,5,7] => 0110101
[3,5,8,4,1,2,6,7] => [4,1,3,8,5,2,6,7] => [3,5,8,4,1,2,6,7] => 0010001
[3,5,8,4,1,6,2,7] => [4,8,3,6,5,2,1,7] => [3,5,6,2,8,4,1,7] => 0010101
[2,5,8,4,1,7,3,6] => [4,2,8,7,5,1,3,6] => [2,5,7,1,8,4,3,6] => 0010011
[3,6,4,2,1,7,8,5] => [2,4,3,6,8,1,7,5] => [3,7,8,4,2,1,6,5] => 1010101
[3,5,6,4,1,8,7,2] => [4,6,3,7,5,2,8,1] => [3,5,8,7,2,6,4,1] => 0010111
[2,6,4,5,1,3,7,8] => [5,2,1,6,4,3,7,8] => [2,6,4,5,1,3,7,8] => 0001100
[7,6,5,1,2,8,4,3] => [5,1,4,6,7,8,2,3] => [8,4,1,2,7,6,5,3] => 0011111
[7,6,5,1,8,2,4,3] => [5,6,4,2,7,8,1,3] => [4,2,8,1,7,6,5,3] => 0011111
[7,6,5,1,8,3,2,4] => [5,3,6,2,7,8,1,4] => [8,3,2,7,6,5,1,4] => 0101111
[7,6,5,1,4,8,2,3] => [5,6,2,1,7,8,4,3] => [8,2,4,7,6,5,1,3] => 0001111
[7,8,5,4,1,6,3,2] => [4,3,5,8,6,1,7,2] => [6,3,1,7,8,5,4,2] => 0111101
[3,6,4,5,1,7,8,2] => [5,8,3,6,4,1,7,2] => [3,6,4,7,8,1,5,2] => 0001101
[7,6,5,1,8,4,2,3] => [5,4,2,6,7,8,1,3] => [8,4,2,7,6,5,1,3] => 0011111
[2,6,5,3,1,4,8,7] => [3,2,5,1,6,4,8,7] => [2,6,5,3,1,4,8,7] => 0101101
[3,6,1,4,2,5,8,7] => [6,4,3,1,2,5,8,7] => [3,4,1,6,2,5,8,7] => 0010101
[8,7,1,6,5,2,4,3] => [7,5,4,2,6,1,8,3] => [4,2,6,5,1,8,7,3] => 0011111
[6,1,3,4,2,8,7,5] => [6,4,1,3,7,2,8,5] => [4,1,3,8,7,2,6,5] => 0010111
[2,4,5,6,1,8,7,3] => [6,2,7,4,5,1,8,3] => [2,4,5,8,7,1,6,3] => 0000111
[8,4,1,6,5,7,3,2] => [4,3,8,7,6,2,5,1] => [6,3,2,7,5,8,4,1] => 0110111
[2,8,3,4,7,5,1,6] => [5,2,7,1,8,3,4,6] => [2,8,1,7,5,3,4,6] => 0001011
[6,8,2,7,4,3,5,1] => [5,8,4,7,3,6,2,1] => [6,7,4,3,8,2,5,1] => 0011011
[4,7,8,5,1,6,3,2] => [5,3,8,4,6,2,7,1] => [4,6,3,2,7,8,5,1] => 0101101
[8,2,6,4,7,3,5,1] => [5,8,7,6,3,2,4,1] => [6,3,7,2,8,4,5,1] => 0001111
[4,8,6,1,7,3,2,5] => [6,3,8,4,1,7,2,5] => [4,7,3,1,8,6,2,5] => 0100111
[6,8,7,1,3,2,4,5] => [7,3,1,2,4,6,8,5] => [3,1,6,8,7,2,4,5] => 0100011
[2,5,1,8,7,4,6,3] => [5,2,6,7,1,4,8,3] => [2,8,7,1,6,4,5,3] => 0001111
[3,7,1,8,4,5,6,2] => [7,6,3,8,4,5,1,2] => [3,8,4,5,6,1,7,2] => 0000111
[8,6,4,3,1,7,2,5] => [3,4,6,8,1,7,2,5] => [7,1,8,6,4,3,2,5] => 0110111
[4,6,7,2,5,8,3,1] => [3,8,7,4,1,6,5,2] => [4,6,7,1,5,8,3,2] => 0100011
[6,2,1,3,4,8,7,5] => [2,6,1,3,7,4,8,5] => [8,7,2,1,3,4,6,5] => 1000111
[4,7,6,2,8,1,5,3] => [8,6,5,4,1,7,2,3] => [4,5,1,7,6,2,8,3] => 0001111
[6,4,5,1,7,8,3,2] => [5,3,8,6,4,1,7,2] => [6,4,7,8,3,1,5,2] => 0101101
[4,2,3,1,7,8,6,5] => [3,4,2,1,6,8,7,5] => [4,2,3,1,7,8,6,5] => 0110101
[3,4,2,1,8,6,7,5] => [2,4,3,1,7,8,6,5] => [3,4,2,1,8,6,7,5] => 1010011
[3,6,8,1,5,2,4,7] => [8,5,3,2,1,6,4,7] => [3,5,2,6,8,1,4,7] => 0001001
[3,2,8,7,4,5,1,6] => [5,3,2,7,4,1,8,6] => [3,2,8,7,4,5,1,6] => 0101011
[2,1,4,8,7,5,3,6] => [2,1,5,4,7,3,8,6] => [2,1,4,8,7,5,3,6] => 1001011
[2,1,6,8,3,7,5,4] => [2,1,8,5,7,6,3,4] => [2,1,6,7,5,3,8,4] => 1001011
[6,2,8,1,7,5,4,3] => [8,6,4,5,7,2,1,3] => [7,5,4,2,6,1,8,3] => 0011111
[2,6,5,4,8,1,3,7] => [8,2,1,5,6,4,3,7] => [2,6,5,4,8,1,3,7] => 0001101
[7,4,8,6,2,1,3,5] => [2,6,1,8,4,7,3,5] => [7,4,8,6,2,1,3,5] => 1000111
[4,6,2,8,3,7,5,1] => [5,7,6,4,8,3,1,2] => [4,8,3,6,1,7,5,2] => 0001111
[2,8,5,3,6,7,1,4] => [7,2,5,1,8,3,6,4] => [2,8,5,1,6,7,3,4] => 0001011
[7,8,5,6,4,1,3,2] => [4,3,1,6,8,5,7,2] => [3,1,7,8,5,6,4,2] => 0110101
[5,8,4,1,6,3,7,2] => [4,8,7,6,5,2,1,3] => [5,6,2,7,1,8,4,3] => 0010111
[7,6,8,3,5,1,4,2] => [5,4,8,1,3,7,6,2] => [7,6,8,1,4,3,5,2] => 0011011
[7,8,6,3,5,1,4,2] => [5,4,6,1,3,8,7,2] => [7,8,6,1,4,3,5,2] => 0011101
[3,4,7,5,6,2,1,8] => [2,6,3,4,7,5,1,8] => [3,4,7,5,6,2,1,8] => 1000110
[7,8,3,5,6,1,4,2] => [6,4,8,1,3,5,7,2] => [7,8,1,4,3,5,6,2] => 0010101
[4,1,8,5,6,3,2,7] => [4,3,6,1,8,5,2,7] => [8,5,6,3,1,4,2,7] => 0110101
[1,8,2,5,6,4,3,7] => [1,8,4,6,2,5,3,7] => [1,6,4,2,5,8,3,7] => 0010101
[6,1,8,5,3,7,4,2] => [6,4,7,5,8,1,2,3] => [8,5,1,7,4,2,6,3] => 0011111
[3,8,1,5,2,7,6,4] => [8,5,3,6,1,7,2,4] => [3,7,6,1,5,2,8,4] => 0001111
[1,5,2,4,6,7,8,3] => [1,5,8,2,4,6,7,3] => [1,6,7,8,2,4,5,3] => 0001001
[4,1,5,3,6,7,8,2] => [4,8,5,1,3,6,7,2] => [5,1,6,7,8,3,4,2] => 0011001
[8,1,6,5,3,7,2,4] => [8,7,5,2,6,1,3,4] => [6,5,2,7,1,8,3,4] => 0001111
[3,2,6,4,1,7,8,5] => [4,3,2,6,8,1,7,5] => [3,2,7,8,4,1,6,5] => 0110101
[7,6,4,3,1,2,8,5] => [3,1,4,6,7,8,5,2] => [8,5,7,6,4,3,1,2] => 0110111
[8,6,3,5,1,7,2,4] => [5,7,6,2,3,8,1,4] => [8,6,2,7,3,5,1,4] => 0001111
[1,5,3,2,6,7,8,4] => [1,3,5,8,2,6,7,4] => [1,6,7,8,3,2,5,4] => 0101001
[3,2,5,6,1,7,8,4] => [6,3,2,8,5,1,7,4] => [3,2,5,7,8,1,6,4] => 0100101
[3,2,8,7,6,1,4,5] => [6,3,2,1,4,7,8,5] => [3,2,8,7,6,1,4,5] => 0100111
[3,8,7,5,6,1,2,4] => [6,1,3,2,7,5,8,4] => [3,8,7,5,6,1,2,4] => 0000111
[8,2,7,5,6,1,3,4] => [6,8,1,3,7,5,2,4] => [7,5,8,1,3,6,2,4] => 0000111
[4,8,6,5,1,7,3,2] => [5,3,6,4,8,7,1,2] => [4,7,3,1,8,6,5,2] => 0101111
[1,7,4,6,2,3,8,5] => [1,6,2,7,8,4,3,5] => [1,8,4,7,2,3,6,5] => 0000111
[7,6,4,2,1,5,8,3] => [2,4,6,7,1,8,5,3] => [8,2,1,5,7,6,4,3] => 1010111
[5,7,4,6,1,3,8,2] => [6,8,1,7,5,4,3,2] => [5,7,4,8,1,3,6,2] => 0000111
[5,2,4,3,7,1,8,6] => [7,5,4,2,3,8,1,6] => [4,2,5,3,8,1,7,6] => 0011011
[3,5,4,2,7,1,8,6] => [7,4,3,5,2,8,1,6] => [3,5,4,2,8,1,7,6] => 0011011
[7,5,4,1,2,6,8,3] => [4,1,5,7,8,2,6,3] => [8,1,2,6,7,5,4,3] => 0011011
[1,7,4,2,3,6,8,5] => [1,4,2,7,8,3,6,5] => [1,8,4,2,3,6,7,5] => 0010011
[1,8,2,5,3,7,6,4] => [1,8,5,6,2,7,3,4] => [1,7,6,2,5,3,8,4] => 0001111
[6,8,1,5,4,7,3,2] => [8,3,7,5,1,6,4,2] => [5,3,1,6,7,4,8,2] => 0101011
[8,2,1,5,6,4,3,7] => [2,8,4,6,1,5,3,7] => [6,4,2,1,5,8,3,7] => 1010101
[3,2,8,1,6,5,4,7] => [8,3,2,5,6,1,4,7] => [3,2,6,5,1,8,4,7] => 0101101
[3,2,6,1,5,7,8,4] => [6,3,2,8,1,5,7,4] => [3,2,7,8,1,5,6,4] => 0100101
[8,6,1,5,4,7,2,3] => [6,8,1,5,2,7,4,3] => [5,1,7,4,8,6,2,3] => 0001111
[3,5,1,4,6,7,8,2] => [5,8,3,1,4,6,7,2] => [3,6,7,8,1,4,5,2] => 0001001
[5,2,1,4,6,7,8,3] => [2,5,8,1,4,6,7,3] => [6,7,8,2,1,4,5,3] => 1001001
[8,4,1,5,3,7,2,6] => [4,8,7,5,2,3,1,6] => [5,2,7,3,8,4,1,6] => 0011011
[7,5,4,1,3,2,8,6] => [4,3,1,5,7,8,2,6] => [3,1,8,5,4,2,7,6] => 0111011
[3,2,5,1,4,7,8,6] => [5,3,2,1,4,8,7,6] => [3,2,5,1,4,7,8,6] => 0101001
[7,1,4,3,5,2,8,6] => [7,5,4,1,3,8,2,6] => [4,1,5,3,8,2,7,6] => 0011011
[3,1,8,2,5,7,4,6] => [3,8,1,7,2,4,5,6] => [7,1,3,2,8,4,5,6] => 0100011
[2,8,1,6,4,3,7,5] => [8,2,4,6,7,1,3,5] => [2,7,4,1,6,3,8,5] => 0010111
[2,7,1,6,4,8,3,5] => [7,2,8,6,3,1,4,5] => [2,6,3,8,1,7,4,5] => 0000111
[8,3,2,7,1,6,5,4] => [7,3,8,5,6,1,2,4] => [6,5,3,1,8,2,7,4] => 0101111
[4,1,8,7,3,2,6,5] => [4,3,7,1,6,2,8,5] => [6,3,1,4,2,8,7,5] => 0110111
[4,1,7,2,8,6,5,3] => [4,7,5,1,6,8,2,3] => [8,6,5,1,7,2,4,3] => 0011111
[3,7,5,1,4,6,8,2] => [5,7,3,2,8,4,6,1] => [3,8,2,4,6,7,5,1] => 0001011
[3,6,8,5,1,4,7,2] => [5,8,3,2,7,6,4,1] => [3,6,7,2,4,8,5,1] => 0001011
[7,3,5,8,2,1,4,6] => [2,8,7,1,3,4,5,6] => [7,2,1,8,3,4,5,6] => 1000011
[7,4,2,8,1,6,5,3] => [8,4,7,5,6,1,3,2] => [6,5,1,7,4,3,8,2] => 0011111
[8,7,5,3,2,1,6,4] => [2,3,5,7,6,4,8,1] => [6,4,8,7,5,3,2,1] => 1101111
[7,5,2,6,3,1,4,8] => [3,6,5,2,7,1,4,8] => [7,5,2,6,3,1,4,8] => 0101110
[7,4,6,2,1,8,3,5] => [2,6,8,7,3,4,1,5] => [7,3,8,4,6,2,1,5] => 1000111
[6,8,4,5,2,1,7,3] => [2,5,7,8,4,6,1,3] => [6,8,4,7,2,1,5,3] => 1001011
[4,6,8,5,1,7,3,2] => [5,3,8,4,7,6,2,1] => [4,6,7,3,2,8,5,1] => 0101011
[5,1,7,6,4,2,8,3] => [5,4,6,7,1,8,2,3] => [8,1,7,6,4,2,5,3] => 0011111
[8,5,2,1,7,6,4,3] => [2,5,4,8,6,7,3,1] => [7,6,4,3,8,5,2,1] => 1011111
[3,6,1,7,4,8,2,5] => [6,8,3,7,2,1,4,5] => [3,7,2,8,1,6,4,5] => 0000111
[8,4,2,5,7,3,1,6] => [3,7,4,8,1,2,5,6] => [8,4,1,7,3,2,5,6] => 0110011
[3,4,6,8,5,7,1,2] => [7,1,3,4,8,6,5,2] => [3,4,6,8,5,7,1,2] => 0000011
[5,4,8,2,7,3,6,1] => [6,8,7,5,4,3,2,1] => [5,4,7,3,8,2,6,1] => 0001111
[6,4,3,8,7,1,2,5] => [7,1,4,6,2,3,8,5] => [6,4,1,2,8,7,3,5] => 0010111
[6,3,7,2,4,8,1,5] => [8,7,6,2,1,3,4,5] => [6,2,7,1,8,3,4,5] => 0000111
[5,6,8,4,2,7,3,1] => [3,7,4,8,5,6,1,2] => [5,6,8,4,1,7,3,2] => 0110011
[6,5,2,7,1,3,8,4] => [7,5,1,6,8,4,3,2] => [8,4,6,5,1,3,7,2] => 0001111
[8,6,5,4,2,1,7,3] => [2,4,5,6,8,7,3,1] => [7,3,8,6,5,4,2,1] => 1011111
[6,4,7,3,1,8,2,5] => [3,7,8,6,1,4,2,5] => [6,1,8,4,7,3,2,5] => 0100111
[7,5,8,4,6,3,2,1] => [2,3,6,8,7,4,5,1] => [7,4,8,5,6,3,2,1] => 1100111
[7,6,5,3,8,2,4,1] => [4,8,5,2,6,7,3,1] => [7,6,5,2,8,3,4,1] => 0011111
[6,5,4,3,2,1,9,8,7] => [2,3,4,5,6,1,8,9,7] => [6,5,4,3,2,1,9,8,7] => 11111011
[6,5,4,3,2,1,8,7,9] => [2,3,4,5,6,1,8,7,9] => [6,5,4,3,2,1,8,7,9] => 11111010
[5,4,3,2,1,9,8,7,6] => [2,3,4,5,1,7,8,9,6] => [5,4,3,2,1,9,8,7,6] => 11110111
[5,4,3,2,1,7,6,9,8] => [2,3,4,5,1,7,6,9,8] => [5,4,3,2,1,7,6,9,8] => 11110101
[5,4,3,2,1,7,6,8,9] => [2,3,4,5,1,7,6,8,9] => [5,4,3,2,1,7,6,8,9] => 11110100
[4,3,2,1,6,5,8,7,9] => [2,3,4,1,6,5,8,7,9] => [4,3,2,1,6,5,8,7,9] => 11101010
[4,3,2,1,6,5,7,8,9] => [2,3,4,1,6,5,7,8,9] => [4,3,2,1,6,5,7,8,9] => 11101000
[3,2,1,5,4,7,6,9,8] => [2,3,1,5,4,7,6,9,8] => [3,2,1,5,4,7,6,9,8] => 11010101
[3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => 11010000
[2,1,4,3,6,5,7,8,9] => [2,1,4,3,6,5,7,8,9] => [2,1,4,3,6,5,7,8,9] => 10101000
[2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => 10100000
[7,6,5,4,3,2,1,10,9,8] => [2,3,4,5,6,7,1,9,10,8] => [7,6,5,4,3,2,1,10,9,8] => 111111011
[7,6,5,4,3,2,1,9,8,10] => [2,3,4,5,6,7,1,9,8,10] => [7,6,5,4,3,2,1,9,8,10] => 111111010
[5,4,3,2,1,7,6,9,8,10] => [2,3,4,5,1,7,6,9,8,10] => [5,4,3,2,1,7,6,9,8,10] => 111101010
[3,2,1,5,4,7,6,9,8,10] => [2,3,1,5,4,7,6,9,8,10] => [3,2,1,5,4,7,6,9,8,10] => 110101010
[2,1,4,3,6,5,8,7,9,10] => [2,1,4,3,6,5,8,7,9,10] => [2,1,4,3,6,5,8,7,9,10] => 101010100
[2,1,4,3,6,5,7,8,9,10] => [2,1,4,3,6,5,7,8,9,10] => [2,1,4,3,6,5,7,8,9,10] => 101010000
[2,1,4,3,5,6,7,8,9,10] => [2,1,4,3,5,6,7,8,9,10] => [2,1,4,3,5,6,7,8,9,10] => 101000000
[7,6,3,8,5,1,4,2] => [5,4,8,3,6,7,1,2] => [7,6,3,4,1,8,5,2] => 0011111
[6,4,8,1,3,2,5,7] => [8,3,1,6,2,4,5,7] => [3,1,6,2,8,4,5,7] => 0100101
[7,4,8,6,3,1,5,2] => [3,6,5,8,4,7,2,1] => [7,4,5,2,8,6,3,1] => 0101111
[3,2,7,8,5,1,6,4] => [5,3,2,8,6,4,7,1] => [3,2,6,4,7,8,5,1] => 0101101
[3,2,8,1,5,4,6,7] => [8,3,2,5,1,4,6,7] => [3,2,5,1,8,4,6,7] => 0101001
[6,1,4,8,5,3,7,2] => [6,7,5,1,8,4,3,2] => [8,5,1,4,7,3,6,2] => 0001111
[1,4,8,5,2,6,7,3] => [1,5,8,4,7,3,6,2] => [1,4,7,3,6,8,5,2] => 0001011
[6,1,8,4,3,7,2,5] => [6,7,4,8,2,1,3,5] => [8,4,2,7,1,6,3,5] => 0010111
[4,1,5,3,6,8,2,7] => [4,8,5,1,3,6,2,7] => [5,1,6,8,3,4,2,7] => 0011001
[7,1,4,6,3,8,5,2] => [7,5,8,1,6,4,2,3] => [6,1,4,8,5,2,7,3] => 0001111
[7,6,4,3,1,8,2,5] => [3,4,6,7,1,8,2,5] => [8,1,7,6,4,3,2,5] => 0110111
[1,5,3,2,8,6,4,7] => [1,3,5,6,2,8,4,7] => [1,8,6,3,2,5,4,7] => 0101101
[5,4,2,1,7,8,6,3] => [2,4,5,6,3,8,7,1] => [7,8,6,3,5,4,2,1] => 1011101
[8,6,2,7,1,4,5,3] => [7,6,5,1,4,8,2,3] => [5,1,4,8,6,2,7,3] => 0001111
[1,7,3,6,2,8,5,4] => [1,6,7,5,8,3,2,4] => [1,8,5,3,7,2,6,4] => 0001111
[8,6,3,7,4,1,2,5] => [4,1,7,6,3,8,2,5] => [8,6,3,7,4,1,2,5] => 0010111
[5,8,3,1,2,4,7,6] => [3,1,8,2,5,7,4,6] => [5,7,3,1,2,4,8,6] => 0100011
[8,1,3,2,4,5,6,7] => [8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => 0100001
[8,4,1,7,2,3,6,5] => [4,8,1,7,6,3,2,5] => [6,1,3,7,4,2,8,5] => 0010111
[8,2,1,6,5,4,7,3] => [2,8,7,5,6,1,4,3] => [6,5,2,1,7,4,8,3] => 1001111
[3,2,8,1,6,5,7,4] => [8,3,2,7,6,1,5,4] => [3,2,6,1,7,5,8,4] => 0100111
[8,6,1,5,4,7,3,2] => [6,3,8,5,2,7,4,1] => [5,3,2,7,4,8,6,1] => 0101111
[5,8,2,3,1,4,6,7] => [3,8,2,1,5,4,6,7] => [5,8,2,3,1,4,6,7] => 0100001
[4,2,1,3,5,8,7,6] => [2,4,1,3,5,7,8,6] => [4,2,1,3,5,8,7,6] => 1010011
[5,4,1,3,6,2,8,7] => [4,5,2,6,3,1,8,7] => [6,2,3,5,4,1,8,7] => 0011101
[3,2,5,1,4,6,8,7] => [5,3,2,1,4,6,8,7] => [3,2,5,1,4,6,8,7] => 0101001
[5,1,3,4,6,2,7,8] => [5,6,1,3,4,2,7,8] => [6,1,3,4,5,2,7,8] => 0001100
[3,1,2,5,4,7,6,9,8] => [3,1,2,5,4,7,6,9,8] => [3,1,2,5,4,7,6,9,8] => 01010101
[3,1,4,2,6,5,8,7,10,9] => [3,4,1,2,6,5,8,7,10,9] => [4,1,3,2,6,5,8,7,10,9] => 011010101
[3,1,5,2,7,4,9,6,10,8] => [3,5,1,7,2,9,4,10,6,8] => [10,1,3,2,5,4,7,6,9,8] => 010101011
[3,1,2,5,7,4,6,9,8] => [3,1,2,7,5,4,6,9,8] => [3,1,2,5,7,4,6,9,8] => 01000101
[1,3,5,2,4,7,6,9,8] => [1,5,3,2,4,7,6,9,8] => [1,3,5,2,4,7,6,9,8] => 00010101
[3,1,2,5,4,7,6,9,8,10] => [3,1,2,5,4,7,6,9,8,10] => [3,1,2,5,4,7,6,9,8,10] => 010101010
[6,8,2,4,5,1,3,7] => [5,8,1,2,4,6,3,7] => [6,8,1,4,5,2,3,7] => 0001001
[5,8,1,2,4,7,3,6] => [8,1,7,2,5,3,4,6] => [5,7,1,2,8,3,4,6] => 0000011
[7,5,1,8,2,3,6,4] => [5,7,1,8,6,4,2,3] => [6,4,8,1,7,5,2,3] => 0001111
[5,1,8,4,6,3,7,2] => [5,7,6,8,1,4,3,2] => [8,1,6,4,7,3,5,2] => 0001111
[4,5,7,3,2,6,8,1] => [8,3,7,4,5,2,6,1] => [4,5,7,3,2,6,8,1] => 0100011
[4,5,7,2,3,6,8,1] => [8,7,2,4,5,3,6,1] => [4,5,7,2,3,6,8,1] => 0000011
[4,5,2,7,1,6,8,3] => [7,5,8,4,2,1,6,3] => [4,8,2,5,1,6,7,3] => 0001011
[5,6,3,1,7,4,2,8] => [3,6,4,7,5,2,1,8] => [5,7,4,2,6,3,1,8] => 0110110
[7,3,4,1,8,5,2,6] => [4,5,8,2,7,3,1,6] => [7,2,8,5,3,4,1,6] => 0011011
[6,4,2,8,7,1,5,3] => [7,4,6,5,1,3,8,2] => [5,1,6,4,3,8,7,2] => 0011111
[7,2,4,8,1,5,3,6] => [8,7,5,2,1,3,4,6] => [5,2,7,1,8,3,4,6] => 0001011
[1,5,3,7,8,2,4,6] => [1,8,5,2,3,4,7,6] => [1,5,2,7,8,3,4,6] => 0001001
[3,2,6,7,1,8,4,5] => [7,3,2,8,4,6,1,5] => [3,2,6,8,4,7,1,5] => 0100011
[5,3,1,6,7,8,4,2] => [3,5,4,8,2,6,7,1] => [6,7,8,4,2,5,3,1] => 0111001
[2,1,3,4,8,7,5,6] => [2,1,3,4,7,5,8,6] => [2,1,3,4,8,7,5,6] => 1000011
[4,5,6,7,8,9,2,3,1] => [3,9,2,4,5,6,7,8,1] => [4,5,6,7,8,9,2,3,1] => 01000001
[5,6,7,8,9,3,4,2,1] => [2,4,9,3,5,6,7,8,1] => [5,6,7,8,9,3,4,2,1] => 10100001
[6,7,8,9,4,5,3,2,1] => [2,3,5,9,4,6,7,8,1] => [6,7,8,9,4,5,3,2,1] => 11010001
[7,8,9,5,6,4,3,2,1] => [2,3,4,6,9,5,7,8,1] => [7,8,9,5,6,4,3,2,1] => 11101001
[8,9,6,7,5,4,3,2,1] => [2,3,4,5,7,9,6,8,1] => [8,9,6,7,5,4,3,2,1] => 11110101
[6,3,8,7,5,4,1,2] => [4,1,5,7,6,3,8,2] => [6,3,8,7,5,4,1,2] => 0011111
[2,8,7,6,1,5,4,3] => [6,2,4,5,1,7,8,3] => [2,5,4,1,8,7,6,3] => 0011111
[5,2,8,7,6,1,4,3] => [6,5,4,1,2,7,8,3] => [4,1,5,2,8,7,6,3] => 0011111
[6,2,8,7,5,1,4,3] => [5,7,4,2,6,1,8,3] => [4,2,6,1,8,7,5,3] => 0011111
[6,1,8,7,5,4,3,2] => [6,3,4,5,7,1,8,2] => [8,7,5,4,3,1,6,2] => 0111111
[3,1,8,7,6,5,4,2] => [3,4,1,5,6,7,8,2] => [8,7,6,5,4,1,3,2] => 0111111
[7,8,2,6,1,5,4,3] => [6,8,4,5,1,2,7,3] => [5,4,1,7,8,2,6,3] => 0011101
[6,5,8,7,1,4,3,2] => [7,3,4,1,6,5,8,2] => [4,3,1,6,5,8,7,2] => 0110111
[4,8,1,7,6,5,3,2] => [8,3,5,4,6,7,1,2] => [4,7,6,5,3,1,8,2] => 0101111
[5,4,1,8,7,6,3,2] => [4,3,5,6,2,7,8,1] => [8,7,6,3,2,5,4,1] => 0111111
[6,4,8,1,7,5,3,2] => [8,3,5,7,6,2,1,4] => [6,3,2,7,5,1,8,4] => 0101111
[5,3,1,8,7,6,4,2] => [3,5,4,6,2,7,8,1] => [8,7,6,4,2,5,3,1] => 0111111
[7,8,2,1,6,5,4,3] => [2,8,4,5,6,1,7,3] => [6,5,4,2,1,7,8,3] => 1011101
[6,5,3,1,8,7,4,2] => [3,5,4,6,7,1,8,2] => [8,7,4,1,6,5,3,2] => 0111111
[6,4,3,1,8,7,5,2] => [3,4,6,5,7,1,8,2] => [8,7,5,1,6,4,3,2] => 0111111
[5,4,3,1,8,7,6,2] => [3,4,5,6,1,7,8,2] => [8,7,6,1,5,4,3,2] => 0111111
[7,5,2,1,8,6,4,3] => [2,5,4,7,6,8,3,1] => [8,6,4,3,7,5,2,1] => 1011111
[5,4,2,1,8,7,6,3] => [2,4,5,6,3,7,8,1] => [8,7,6,3,5,4,2,1] => 1011111
[7,3,2,1,8,6,5,4] => [2,3,7,5,6,8,1,4] => [8,6,5,3,2,1,7,4] => 1101111
[6,3,2,1,8,7,5,4] => [2,3,6,5,7,1,8,4] => [8,7,5,3,2,1,6,4] => 1101111
[6,1,4,2,3,5,8,7] => [6,4,2,1,3,5,8,7] => [4,2,6,1,3,5,8,7] => 0010101
[8,6,1,4,2,3,5,7] => [6,4,2,1,3,8,5,7] => [4,2,8,6,1,3,5,7] => 0010101
[6,8,1,4,2,3,5,7] => [8,4,2,1,3,6,5,7] => [4,2,6,8,1,3,5,7] => 0010001
[8,1,4,2,3,6,5,7] => [8,4,2,1,6,3,5,7] => [4,2,6,1,3,8,5,7] => 0010101
[4,1,8,2,3,6,5,7] => [4,8,2,1,6,3,5,7] => [6,2,4,1,3,8,5,7] => 0010101
[8,2,3,6,1,4,5,7] => [6,8,2,1,4,3,5,7] => [8,2,4,6,1,3,5,7] => 0000101
[6,2,3,8,1,4,5,7] => [8,6,2,1,4,3,5,7] => [6,2,4,8,1,3,5,7] => 0000101
[4,6,2,3,8,1,5,7] => [8,6,2,4,1,3,5,7] => [4,6,2,8,1,3,5,7] => 0000101
[4,8,2,3,6,1,5,7] => [6,8,2,4,1,3,5,7] => [4,8,2,6,1,3,5,7] => 0000101
[8,2,3,6,4,1,5,7] => [4,6,1,8,2,3,5,7] => [8,1,6,4,2,3,5,7] => 0010101
[8,4,3,6,2,1,5,7] => [2,6,4,8,1,3,5,7] => [8,4,2,1,6,3,5,7] => 1010101
[6,2,3,8,4,1,5,7] => [4,8,1,6,2,3,5,7] => [6,1,8,4,2,3,5,7] => 0010101
[8,4,2,3,6,1,5,7] => [6,4,2,8,1,3,5,7] => [8,4,2,6,1,3,5,7] => 0010101
[6,4,2,3,8,1,5,7] => [8,4,2,6,1,3,5,7] => [6,4,2,8,1,3,5,7] => 0010101
[2,6,4,3,8,1,5,7] => [8,2,4,6,1,3,5,7] => [2,6,4,1,8,3,5,7] => 0010101
[2,8,4,3,6,1,5,7] => [6,2,4,8,1,3,5,7] => [2,8,4,1,6,3,5,7] => 0010101
[2,6,3,8,4,1,5,7] => [4,2,8,6,3,1,5,7] => [2,6,3,8,4,1,5,7] => 0010101
[6,3,8,4,2,1,5,7] => [2,4,8,6,3,1,5,7] => [6,3,8,4,2,1,5,7] => 1010101
[2,6,3,8,1,4,5,7] => [8,2,6,1,4,3,5,7] => [2,6,1,4,8,3,5,7] => 0000101
[2,8,3,6,1,4,5,7] => [6,2,8,1,4,3,5,7] => [2,8,1,4,6,3,5,7] => 0000101
[8,3,6,4,2,1,5,7] => [2,4,6,8,3,1,5,7] => [8,3,6,4,2,1,5,7] => 1010101
[2,8,3,6,4,1,5,7] => [4,2,6,8,3,1,5,7] => [2,8,3,6,4,1,5,7] => 0010101
[8,3,6,2,4,1,5,7] => [4,6,8,2,1,3,5,7] => [8,2,6,1,4,3,5,7] => 0010101
[8,3,6,2,1,4,5,7] => [2,6,8,1,4,3,5,7] => [8,2,1,4,6,3,5,7] => 1000101
[6,2,1,3,8,4,5,7] => [2,6,1,8,4,3,5,7] => [8,4,6,2,1,3,5,7] => 1000101
[8,2,1,3,6,4,5,7] => [2,8,1,6,4,3,5,7] => [6,4,8,2,1,3,5,7] => 1000101
[6,3,8,2,4,1,5,7] => [4,8,6,2,1,3,5,7] => [6,2,8,1,4,3,5,7] => 0010101
[6,2,4,3,8,1,5,7] => [8,6,4,2,1,3,5,7] => [4,2,6,1,8,3,5,7] => 0010101
[1,6,4,2,7,5,8,3] => [1,4,6,8,7,3,5,2] => [1,7,3,8,5,6,4,2] => 0010111
[3,6,4,2,7,1,5,8] => [7,4,3,6,1,2,5,8] => [3,6,4,1,7,2,5,8] => 0010110
[6,4,8,5,3,7,1,2] => [7,1,5,8,6,3,4,2] => [6,3,8,5,4,7,1,2] => 0001111
[7,1,5,3,6,2,8,4] => [7,6,5,8,1,3,2,4] => [8,1,5,3,6,2,7,4] => 0001111
[7,8,1,4,2,5,6,3] => [8,4,6,1,2,5,7,3] => [6,1,4,2,5,7,8,3] => 0010101
[6,1,3,5,8,2,7,4] => [6,8,1,7,3,5,2,4] => [7,1,3,5,8,2,6,4] => 0000111
[6,1,8,7,4,2,3,5] => [6,4,2,7,3,1,8,5] => [8,7,4,2,3,6,1,5] => 0010111
[1,2,8,5,7,3,6,4] => [1,2,7,6,8,3,5,4] => [1,2,8,3,6,5,7,4] => 0000111
[1,3,6,8,7,5,2,4] => [1,5,3,2,7,6,8,4] => [1,3,6,8,7,5,2,4] => 0001011
[1,8,2,5,4,7,6,3] => [1,8,6,5,2,7,4,3] => [1,5,2,7,6,4,8,3] => 0001111
[1,2,7,3,5,8,6,4] => [1,2,7,6,3,8,5,4] => [1,2,8,6,3,5,7,4] => 0000111
[4,6,2,1,7,5,3,8] => [2,6,5,4,7,1,3,8] => [4,7,5,2,1,6,3,8] => 1001110
[1,6,3,7,8,5,2,4] => [1,5,8,3,6,2,7,4] => [1,6,3,7,8,5,2,4] => 0001101
[4,6,2,3,7,8,1,5] => [8,6,2,4,1,3,7,5] => [4,6,2,7,8,1,3,5] => 0000101
[4,2,1,3,5,7,8,6] => [2,4,1,3,5,8,7,6] => [4,2,1,3,5,7,8,6] => 1010001
[3,8,2,5,4,1,7,6] => [4,5,3,8,1,7,2,6] => [3,7,1,5,4,2,8,6] => 0011011
[4,2,6,3,8,7,1,5] => [7,4,6,2,1,3,8,5] => [6,2,4,1,8,7,3,5] => 0010111
[5,8,2,7,4,3,1,6] => [3,4,7,8,5,1,2,6] => [5,8,1,7,4,3,2,6] => 0110011
[4,3,8,5,1,7,2,6] => [5,8,4,3,7,1,2,6] => [4,3,7,1,8,5,2,6] => 0011011
[6,4,3,5,2,8,1,7] => [8,5,4,6,3,2,1,7] => [6,4,3,5,2,8,1,7] => 0011101
[6,5,3,8,4,2,1,7] => [2,4,8,5,6,1,3,7] => [6,5,2,1,8,4,3,7] => 1011101
[6,1,7,2,8,3,9,4,10,5] => [6,7,8,9,10,1,2,3,4,5] => [10,1,9,2,8,3,7,4,6,5] => 000011111
[8,2,5,7,3,6,4,1] => [4,6,8,7,3,1,5,2] => [7,3,8,1,5,6,4,2] => 0010111
[1,8,6,7,5,3,4,2] => [1,4,5,3,7,8,6,2] => [1,8,6,7,5,3,4,2] => 0011011
[2,7,6,1,3,5,4,8] => [6,2,1,5,3,7,4,8] => [2,5,1,3,7,6,4,8] => 0001110
[2,4,1,3,8,5,7,6] => [4,2,1,3,8,7,5,6] => [2,4,1,3,7,5,8,6] => 0010011
[2,4,1,3,5,8,7,6] => [4,2,1,3,5,7,8,6] => [2,4,1,3,5,8,7,6] => 0010011
[2,6,1,3,5,8,7,4] => [6,2,1,7,3,5,8,4] => [2,8,7,1,3,5,6,4] => 0000111
[4,6,1,3,5,8,7,2] => [6,7,1,4,3,5,8,2] => [4,8,7,1,3,5,6,2] => 0000111
[6,2,1,3,5,8,7,4] => [2,6,1,7,3,5,8,4] => [8,7,2,1,3,5,6,4] => 1000111
[4,2,1,3,6,5,7,8] => [2,4,1,3,6,5,7,8] => [4,2,1,3,6,5,7,8] => 1010100
[4,2,1,6,3,5,7,8] => [2,4,6,1,3,5,7,8] => [6,2,1,4,3,5,7,8] => 1010100
[1,6,4,3,8,5,7,2] => [1,7,4,6,8,3,5,2] => [1,8,4,3,6,5,7,2] => 0010111
[8,1,4,3,6,5,7,2] => [8,7,4,1,6,3,5,2] => [4,1,6,3,7,5,8,2] => 0010111
[8,2,1,4,3,5,7,6] => [2,8,4,1,3,7,5,6] => [4,2,1,7,3,5,8,6] => 1010011
[6,2,1,4,3,5,7,8] => [2,6,4,1,3,5,7,8] => [4,2,1,6,3,5,7,8] => 1010100
[8,2,4,1,3,5,7,6] => [4,8,1,2,3,7,5,6] => [7,1,4,2,3,5,8,6] => 0010011
[8,4,6,1,3,5,7,2] => [6,7,1,8,3,4,5,2] => [8,1,3,7,4,5,6,2] => 0000111
[8,1,4,6,3,5,7,2] => [8,7,6,1,3,4,5,2] => [6,1,7,3,4,5,8,2] => 0000111
[1,8,4,6,3,5,7,2] => [1,7,6,8,3,4,5,2] => [1,8,3,6,4,5,7,2] => 0000111
[1,6,4,8,3,5,7,2] => [1,7,8,6,3,4,5,2] => [1,6,3,8,4,5,7,2] => 0000111
[6,4,1,8,3,5,7,2] => [4,6,7,8,1,2,5,3] => [8,1,7,2,5,6,4,3] => 0010111
[4,2,8,1,3,5,7,6] => [8,4,1,2,3,7,5,6] => [4,1,7,2,3,5,8,6] => 0010011
[4,6,8,1,3,5,7,2] => [8,7,1,4,3,6,5,2] => [4,6,7,1,3,5,8,2] => 0000011
[4,6,1,3,8,5,7,2] => [6,7,1,4,8,3,5,2] => [4,8,1,3,7,5,6,2] => 0000111
[2,1,8,3,6,5,7,4] => [2,1,8,7,6,3,5,4] => [2,1,6,3,7,5,8,4] => 1000111
[2,1,6,4,3,5,7,8] => [2,1,4,6,3,5,7,8] => [2,1,6,4,3,5,7,8] => 1010100
[2,6,1,4,3,5,7,8] => [6,2,4,1,3,5,7,8] => [2,4,1,6,3,5,7,8] => 0010100
[2,8,1,4,3,5,7,6] => [8,2,4,1,3,7,5,6] => [2,4,1,7,3,5,8,6] => 0010011
[1,4,8,6,3,5,7,2] => [1,7,6,4,3,8,5,2] => [1,4,8,6,3,5,7,2] => 0000111
[2,8,4,1,3,5,7,6] => [4,2,1,8,3,7,5,6] => [2,7,4,1,3,5,8,6] => 0010011
[2,6,4,1,3,5,7,8] => [4,2,1,6,3,5,7,8] => [2,6,4,1,3,5,7,8] => 0010100
[4,6,2,1,3,5,7,8] => [2,6,1,4,3,5,7,8] => [4,6,2,1,3,5,7,8] => 1000100
[6,1,8,4,3,5,7,2] => [6,7,4,8,3,1,5,2] => [8,4,3,7,1,5,6,2] => 0010111
[1,8,6,4,3,5,7,2] => [1,7,4,6,3,8,5,2] => [1,8,6,4,3,5,7,2] => 0010111
[8,6,1,4,3,5,7,2] => [6,8,4,2,3,7,5,1] => [4,2,7,3,5,8,6,1] => 0010111
[8,6,4,1,3,5,7,2] => [4,6,1,8,3,7,5,2] => [7,1,3,5,8,6,4,2] => 0010111
[8,6,2,1,3,5,7,4] => [2,6,1,8,4,7,5,3] => [7,4,5,8,6,2,1,3] => 1000111
[5,8,1,4,6,3,7,2] => [8,7,6,1,5,4,3,2] => [5,6,1,4,7,3,8,2] => 0000111
[3,6,7,4,5,8,2,1] => [2,8,3,7,4,6,5,1] => [3,6,7,4,5,8,2,1] => 1000011
[5,6,4,1,8,7,3,2] => [4,3,6,7,5,2,8,1] => [5,8,7,3,2,6,4,1] => 0110111
[3,6,8,4,5,7,2,1] => [2,7,3,8,4,6,5,1] => [3,6,8,4,5,7,2,1] => 1000011
[3,7,8,4,5,6,2,1] => [2,6,3,8,4,5,7,1] => [3,7,8,4,5,6,2,1] => 1000101
[6,8,1,4,5,3,7,2] => [8,7,5,1,4,6,3,2] => [5,1,4,6,7,3,8,2] => 0001011
[3,8,1,5,4,6,7,2] => [8,7,3,5,1,4,6,2] => [3,5,1,7,4,6,8,2] => 0001011
[3,7,1,5,4,6,8,2] => [7,8,3,5,1,4,6,2] => [3,5,1,8,4,6,7,2] => 0001011
[6,7,1,4,5,3,8,2] => [7,8,5,1,4,6,3,2] => [5,1,4,6,8,3,7,2] => 0001011
[5,6,4,2,7,3,8,1] => [8,4,6,7,5,3,2,1] => [5,7,3,6,4,2,8,1] => 0010111
[5,4,7,2,8,3,6,1] => [6,7,8,5,4,3,2,1] => [5,4,8,3,7,2,6,1] => 0001111
[5,8,1,4,6,3,2,7] => [8,3,6,1,5,4,2,7] => [5,6,3,1,4,8,2,7] => 0100101
[3,8,1,5,4,6,2,7] => [8,6,3,5,1,4,2,7] => [3,5,1,6,4,8,2,7] => 0001101
[3,6,1,5,4,2,7,8] => [6,4,3,5,1,2,7,8] => [3,5,4,1,6,2,7,8] => 0011100
[3,6,1,5,4,7,8,2] => [6,8,3,5,1,4,7,2] => [3,5,1,7,8,4,6,2] => 0001101
[3,4,1,2,6,8,7,5] => [4,1,3,2,7,6,8,5] => [3,4,1,2,6,8,7,5] => 0010011
[6,8,3,1,4,7,2,5] => [3,8,7,2,1,6,4,5] => [6,7,2,8,3,1,4,5] => 0100011
[6,4,7,2,8,5,1,3] => [5,8,2,7,6,1,4,3] => [6,2,7,4,8,5,1,3] => 0001111
[5,8,1,4,7,3,2,6] => [8,3,7,1,5,2,4,6] => [5,7,3,1,8,2,4,6] => 0100011
[7,8,1,4,5,3,2,6] => [8,3,5,1,4,2,7,6] => [5,3,1,4,7,8,2,6] => 0101001
[3,8,1,5,4,7,2,6] => [8,7,3,5,1,2,4,6] => [3,5,1,7,2,8,4,6] => 0001011
[3,6,1,5,4,8,7,2] => [6,7,3,5,1,4,8,2] => [3,5,1,8,7,4,6,2] => 0001111
[3,6,1,5,4,7,2,8] => [6,7,3,5,1,4,2,8] => [3,5,1,7,4,6,2,8] => 0001110
[7,8,4,2,6,5,1,3] => [5,4,2,6,8,1,7,3] => [7,8,4,2,6,5,1,3] => 0011101
[6,8,4,2,7,5,3,1] => [3,5,4,7,8,6,2,1] => [6,8,4,2,7,5,3,1] => 0111011
[6,4,7,2,8,5,3,1] => [3,5,8,7,6,2,4,1] => [6,2,7,4,8,5,3,1] => 0101111
[3,4,1,2,8,5,7,6] => [4,1,3,2,8,7,5,6] => [3,4,1,2,7,5,8,6] => 0010011
[3,4,1,2,5,8,7,6] => [4,1,3,2,5,7,8,6] => [3,4,1,2,5,8,7,6] => 0010011
[9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,3] => [9,8,7,6,5,4,2,1,3] => 10111111
[9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,4] => [9,8,7,6,5,3,2,1,4] => 11011111
[8,7,6,3,5,2,1,4] => [2,5,6,1,3,7,8,4] => [8,7,6,2,1,5,3,4] => 1001111
[9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,5] => [9,8,7,6,4,3,2,1,5] => 11101111
[8,7,4,6,3,2,1,5] => [2,3,6,7,1,4,8,5] => [8,7,3,2,1,6,4,5] => 1100111
[9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,6] => [9,8,7,5,4,3,2,1,6] => 11110111
[8,5,7,4,3,2,1,6] => [2,3,4,7,8,1,5,6] => [8,4,3,2,1,7,5,6] => 1110011
[9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,7] => [9,8,6,5,4,3,2,1,7] => 11111011
[9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8] => [9,7,6,5,4,3,2,1,8] => 11111101
[9,8,7,6,5,4,1,3,2] => [4,3,1,5,6,7,8,9,2] => [3,1,9,8,7,6,5,4,2] => 01111111
[10,9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,10,3] => [10,9,8,7,6,5,4,2,1,3] => 101111111
[10,9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,10,4] => [10,9,8,7,6,5,3,2,1,4] => 110111111
[10,9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,10,5] => [10,9,8,7,6,4,3,2,1,5] => 111011111
[10,9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,10,6] => [10,9,8,7,5,4,3,2,1,6] => 111101111
[10,9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,10,7] => [10,9,8,6,5,4,3,2,1,7] => 111110111
[6,5,8,4,3,2,1,7] => [2,3,4,8,6,5,1,7] => [6,5,8,4,3,2,1,7] => 1110101
[8,4,7,6,3,2,1,5] => [2,3,6,7,4,8,1,5] => [8,4,7,6,3,2,1,5] => 1100111
[10,9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,10,8] => [10,9,7,6,5,4,3,2,1,8] => 111111011
[5,8,7,4,3,2,1,6] => [2,3,4,7,5,1,8,6] => [5,8,7,4,3,2,1,6] => 1110011
[10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9] => [10,8,7,6,5,4,3,2,1,9] => 111111101
[5,8,6,2,3,4,7,1] => [7,6,2,3,5,8,4,1] => [5,8,6,2,3,4,7,1] => 0000111
[4,5,2,7,3,1,8,6] => [3,7,5,4,1,8,2,6] => [4,5,1,8,3,2,7,6] => 0101011
[4,3,7,8,6,5,1,2] => [5,1,4,3,6,8,7,2] => [4,3,7,8,6,5,1,2] => 0011101
[2,1,8,7,4,5,3,6] => [2,1,5,7,4,3,8,6] => [2,1,8,7,4,5,3,6] => 1001011
[6,5,2,8,1,7,3,4] => [8,5,6,2,7,3,1,4] => [7,2,6,5,3,8,1,4] => 0001111
[8,5,4,3,7,2,6,1] => [6,7,4,5,8,2,3,1] => [8,5,4,2,7,3,6,1] => 0011111
[8,3,7,4,2,6,5,1] => [5,4,6,7,8,2,1,3] => [8,2,7,4,1,6,5,3] => 0011111
[2,8,3,4,1,7,5,6] => [4,2,8,3,7,5,1,6] => [2,7,5,8,3,4,1,6] => 0010011
[2,8,5,3,1,7,6,4] => [3,2,5,8,6,7,4,1] => [2,7,6,4,8,5,3,1] => 0101111
[3,8,7,5,1,6,4,2] => [5,4,3,7,6,2,8,1] => [3,6,4,2,8,7,5,1] => 0011111
[4,8,7,6,1,5,3,2] => [6,3,5,4,1,7,8,2] => [4,5,3,1,8,7,6,2] => 0101111
[7,4,8,6,2,1,5,3] => [2,6,5,8,4,7,1,3] => [7,4,5,2,1,8,6,3] => 1001111
[7,5,4,3,8,2,1,6] => [2,8,4,5,7,1,3,6] => [7,5,4,2,1,8,3,6] => 1011011
[3,7,8,4,1,2,6,5] => [4,1,3,8,6,2,7,5] => [3,6,4,1,2,7,8,5] => 0010101
[4,7,8,6,1,2,5,3] => [6,1,5,4,2,8,7,3] => [4,5,1,2,7,8,6,3] => 0001101
[6,4,7,8,3,1,2,5] => [3,1,8,6,2,4,7,5] => [6,3,1,2,7,8,4,5] => 0100101
[7,6,4,8,3,2,1,5] => [2,3,8,6,1,7,4,5] => [7,6,3,2,1,8,4,5] => 1100111
[7,5,8,6,2,1,4,3] => [2,6,4,1,8,7,3,5] => [4,2,1,7,3,8,6,5] => 1010111
[6,3,2,4,8,1,5,7] => [8,3,6,2,1,4,5,7] => [6,3,2,8,1,4,5,7] => 0100101
[8,3,4,7,2,5,6,1] => [6,7,8,3,2,5,4,1] => [8,3,5,7,2,4,6,1] => 0000111
[2,4,8,6,1,5,7,3] => [6,2,8,4,3,7,5,1] => [2,4,7,3,5,8,6,1] => 0000111
[2,5,8,6,1,4,7,3] => [6,2,8,3,5,7,4,1] => [2,5,7,3,4,8,6,1] => 0000111
[8,3,5,7,2,4,6,1] => [6,7,8,2,3,4,5,1] => [8,2,7,3,4,5,6,1] => 0000111
[8,4,6,7,2,3,5,1] => [5,7,2,8,3,4,6,1] => [8,2,3,6,7,4,5,1] => 0001011
[2,6,8,5,1,3,7,4] => [5,2,1,8,7,6,4,3] => [2,6,7,4,8,5,1,3] => 0001011
[2,6,8,4,1,3,7,5] => [4,2,1,8,7,6,3,5] => [2,6,7,4,1,3,8,5] => 0010011
[2,5,8,3,1,4,7,6] => [3,2,8,1,5,7,4,6] => [2,5,7,3,1,4,8,6] => 0100011
[2,3,5,4,1,8,6,7] => [4,2,3,5,1,8,6,7] => [2,3,5,4,1,8,6,7] => 0011001
[2,3,6,4,8,1,5,7] => [8,2,3,6,1,4,5,7] => [2,3,6,1,8,4,5,7] => 0000101
[1,8,4,6,3,5,2,7] => [1,5,6,8,3,4,2,7] => [1,8,3,6,4,5,2,7] => 0001101
[5,4,8,6,2,1,3,7] => [2,6,1,5,4,8,3,7] => [5,4,8,6,2,1,3,7] => 1001101
[2,5,6,1,4,7,8,3] => [6,2,8,1,5,4,7,3] => [2,5,7,8,1,4,6,3] => 0000101
[2,5,6,1,4,7,3,8] => [6,2,7,1,5,4,3,8] => [2,5,7,1,4,6,3,8] => 0000110
[1,8,7,6,3,2,5,4] => [1,3,6,5,2,7,8,4] => [1,5,3,2,8,7,6,4] => 0101111
[1,8,7,6,3,2,4,5] => [1,3,6,2,4,7,8,5] => [1,8,7,6,3,2,4,5] => 0100111
[6,3,5,1,7,2,4,8] => [5,7,6,2,3,1,4,8] => [6,2,7,3,5,1,4,8] => 0001110
[1,8,4,5,2,7,3,6] => [1,5,7,8,4,3,2,6] => [1,8,4,7,3,5,2,6] => 0001011
[1,8,4,5,2,7,6,3] => [1,5,6,7,3,8,2,4] => [1,8,3,7,6,2,5,4] => 0001111
[2,7,6,4,8,5,1,3] => [5,2,1,8,6,7,3,4] => [2,7,6,1,3,8,5,4] => 0001111
[3,7,1,6,8,5,2,4] => [7,5,3,2,8,1,6,4] => [3,8,5,2,6,7,1,4] => 0001011
[2,3,1,8,6,4,7,5] => [3,2,1,6,8,7,5,4] => [2,3,1,7,5,8,6,4] => 0100111
[1,8,4,3,6,2,5,7] => [1,6,4,8,2,3,5,7] => [1,8,4,2,6,3,5,7] => 0010101
[2,3,1,8,6,4,5,7] => [3,2,1,6,4,8,5,7] => [2,3,1,8,6,4,5,7] => 0100101
[1,8,4,5,2,6,3,7] => [1,5,6,8,4,2,3,7] => [1,8,4,6,2,5,3,7] => 0001101
[2,3,4,7,5,1,8,6] => [5,2,3,4,7,8,1,6] => [2,3,4,8,5,1,7,6] => 0001011
[2,3,4,7,5,1,6,8] => [5,2,3,4,7,1,6,8] => [2,3,4,7,5,1,6,8] => 0001010
[2,3,4,7,1,6,8,5] => [7,2,3,4,8,1,6,5] => [2,3,4,8,1,6,7,5] => 0000011
[2,3,4,6,1,8,7,5] => [6,2,3,4,7,1,8,5] => [2,3,4,8,7,1,6,5] => 0000111
[6,3,5,8,4,2,7,1] => [7,4,8,6,2,5,3,1] => [6,2,5,8,4,3,7,1] => 0010111
[7,4,8,5,3,2,1,6] => [2,3,5,8,7,4,1,6] => [7,4,8,5,3,2,1,6] => 1101011
[1,8,4,5,2,3,6,7] => [1,5,2,8,4,3,6,7] => [1,8,4,5,2,3,6,7] => 0001001
[5,2,4,6,8,3,7,1] => [7,5,8,2,4,6,3,1] => [6,8,2,4,5,3,7,1] => 0001011
[1,5,7,4,6,3,2,8] => [1,3,6,7,5,4,2,8] => [1,5,7,4,6,3,2,8] => 0100110
[6,8,3,4,5,7,2,1] => [2,7,8,3,4,6,5,1] => [6,8,3,4,5,7,2,1] => 1000011
[2,5,7,4,6,3,8,1] => [8,2,6,7,5,4,3,1] => [2,5,7,4,6,3,8,1] => 0000111
[5,1,4,6,8,3,2,7] => [5,3,8,1,4,6,2,7] => [6,8,3,1,4,5,2,7] => 0101001
[8,1,6,2,4,3,5,7] => [8,6,4,2,3,1,5,7] => [4,2,6,3,8,1,5,7] => 0010101
[8,7,1,2,4,3,5,6] => [7,1,4,2,3,5,8,6] => [4,1,2,8,7,3,5,6] => 0010011
[1,7,6,2,4,3,5,8] => [1,6,4,2,3,7,5,8] => [1,4,2,7,6,3,5,8] => 0010110
[8,7,3,2,4,6,5,1] => [5,3,6,1,7,4,8,2] => [8,7,3,1,4,6,5,2] => 0101111
[8,2,6,3,4,5,7,1] => [7,8,6,3,4,2,5,1] => [6,3,4,8,2,5,7,1] => 0000111
[1,7,6,3,4,5,2,8] => [1,5,6,3,4,7,2,8] => [1,7,6,3,4,5,2,8] => 0001110
[1,7,2,5,4,3,6,8] => [1,7,4,5,2,3,6,8] => [1,5,4,2,7,3,6,8] => 0011010
[6,8,3,2,4,7,5,1] => [5,3,7,1,8,6,4,2] => [6,8,3,1,4,7,5,2] => 0101011
[8,1,6,3,4,5,2,7] => [8,5,6,3,4,1,2,7] => [6,3,4,5,1,8,2,7] => 0001101
[8,1,2,5,4,3,6,7] => [8,1,4,5,2,3,6,7] => [5,4,1,2,8,3,6,7] => 0011001
[3,4,8,7,5,2,6,1] => [6,5,3,4,7,2,8,1] => [3,4,8,7,5,2,6,1] => 0001111
[3,2,8,6,1,5,4,7] => [6,3,2,5,1,8,4,7] => [3,2,5,1,8,6,4,7] => 0101101
[8,6,1,2,4,3,5,7] => [6,1,4,2,3,8,5,7] => [4,1,2,8,6,3,5,7] => 0010101
[3,5,2,8,6,1,4,7] => [6,5,3,1,2,8,4,7] => [3,5,1,8,6,2,4,7] => 0001101
[3,7,2,5,1,4,8,6] => [5,7,3,1,2,8,4,6] => [3,8,1,5,2,4,7,6] => 0001011
[5,1,8,6,2,3,4,7] => [5,6,2,3,1,8,4,7] => [8,6,2,3,5,1,4,7] => 0001101
[2,5,4,1,8,6,3,7] => [4,2,5,6,3,8,1,7] => [2,8,6,3,5,4,1,7] => 0011101
[3,7,6,1,8,2,5,4] => [6,7,3,5,1,8,2,4] => [3,5,1,8,2,7,6,4] => 0001111
[7,6,3,1,8,2,4,5] => [3,6,7,2,4,8,1,5] => [8,2,4,7,6,3,1,5] => 0100111
[8,1,3,6,4,7,2,5] => [8,7,1,6,2,3,4,5] => [6,1,7,2,3,8,4,5] => 0000111
[7,1,3,6,4,8,2,5] => [7,8,1,6,2,3,4,5] => [6,1,8,2,3,7,4,5] => 0000111
[7,5,4,1,3,8,2,6] => [4,5,1,7,8,2,3,6] => [8,1,7,5,4,2,3,6] => 0011011
[2,7,5,8,3,4,1,6] => [4,2,8,3,7,1,5,6] => [2,7,3,4,1,8,5,6] => 0010011
[7,2,3,6,1,4,8,5] => [6,7,2,1,8,3,4,5] => [8,2,7,1,3,4,6,5] => 0000111
[7,4,8,1,3,6,2,5] => [8,6,1,7,2,3,4,5] => [7,1,6,2,3,8,4,5] => 0000111
[8,1,2,3,5,7,4,6] => [8,1,2,7,3,4,5,6] => [7,1,2,3,8,4,5,6] => 0000011
[7,1,2,3,5,8,4,6] => [7,1,2,8,3,4,5,6] => [8,1,2,3,7,4,5,6] => 0000011
[8,6,1,4,7,3,2,5] => [6,3,8,2,1,7,4,5] => [7,3,2,8,6,1,4,5] => 0100111
[2,6,3,7,1,4,8,5] => [7,2,6,1,8,3,4,5] => [2,8,1,6,3,4,7,5] => 0000111
[2,6,3,8,1,4,7,5] => [8,2,6,1,7,3,4,5] => [2,7,1,6,3,4,8,5] => 0000111
[7,5,4,8,1,3,2,6] => [8,3,1,5,7,2,4,6] => [3,1,7,5,2,8,4,6] => 0101011
[8,5,4,7,1,3,2,6] => [7,3,1,5,8,2,4,6] => [3,1,8,5,2,7,4,6] => 0101011
[2,3,1,8,5,4,6,7] => [3,2,1,5,8,4,6,7] => [2,3,1,8,5,4,6,7] => 0101001
[3,5,2,6,7,1,8,4] => [7,5,3,8,2,6,1,4] => [3,6,8,2,5,1,7,4] => 0001011
[8,4,7,5,1,3,2,6] => [5,3,1,7,8,4,2,6] => [3,1,8,4,7,5,2,6] => 0101011
[6,1,2,8,3,4,7,5] => [6,1,8,3,7,2,4,5] => [7,3,8,1,2,4,6,5] => 0000111
[3,7,2,5,6,1,8,4] => [6,7,3,8,2,5,1,4] => [3,8,2,5,7,1,6,4] => 0000111
[6,8,4,2,5,1,7,3] => [5,4,8,7,3,6,1,2] => [6,7,3,8,4,1,5,2] => 0011011
[8,3,2,1,5,7,4,6] => [2,3,8,7,1,4,5,6] => [7,3,2,1,8,4,5,6] => 1100011
[2,8,3,6,4,7,1,5] => [7,2,8,6,1,3,4,5] => [2,6,1,8,3,7,4,5] => 0000111
[7,3,6,4,8,1,2,5] => [8,1,7,6,2,3,4,5] => [6,1,2,7,3,8,4,5] => 0000111
[8,3,6,4,7,1,2,5] => [7,1,8,6,2,3,4,5] => [6,1,2,8,3,7,4,5] => 0000111
[1,2,8,3,5,7,4,6] => [1,2,8,7,3,4,5,6] => [1,2,7,3,8,4,5,6] => 0000011
[1,8,3,2,5,7,4,6] => [1,3,8,7,2,4,5,6] => [1,7,3,2,8,4,5,6] => 0100011
[6,5,1,7,4,2,8,3] => [5,4,6,7,8,3,2,1] => [8,3,7,4,2,6,5,1] => 0011111
[7,3,6,4,8,2,1,5] => [2,8,7,6,1,3,4,5] => [6,2,1,7,3,8,4,5] => 1000111
[5,6,1,7,3,4,2,8] => [6,4,7,3,5,1,2,8] => [5,7,3,4,1,6,2,8] => 0010110
[8,3,7,1,6,5,2,4] => [7,5,6,3,8,1,2,4] => [8,3,6,5,1,7,2,4] => 0001111
[2,8,1,7,6,5,3,4] => [8,2,5,3,6,7,1,4] => [2,7,6,5,3,8,1,4] => 0001111
[6,4,2,8,5,1,7,3] => [5,4,8,6,7,2,3,1] => [7,2,6,4,3,8,5,1] => 0011111
[2,4,3,8,1,6,7,5] => [8,2,4,3,7,1,6,5] => [2,4,3,7,1,6,8,5] => 0010011
[4,2,3,7,8,5,1,6] => [5,4,2,3,8,1,7,6] => [4,2,3,7,8,5,1,6] => 0011001
[5,1,6,4,2,3,7,8] => [5,4,2,6,1,3,7,8] => [6,4,2,5,1,3,7,8] => 0011100
[6,4,7,8,1,5,2,3] => [8,5,2,6,1,4,7,3] => [6,2,5,4,7,8,1,3] => 0001101
[8,7,4,6,1,5,2,3] => [6,5,2,7,1,4,8,3] => [8,7,2,5,4,6,1,3] => 0001111
[8,6,5,7,1,4,2,3] => [7,4,2,1,6,8,5,3] => [4,2,8,6,5,7,1,3] => 0010111
[6,7,4,8,1,5,2,3] => [8,5,2,7,1,6,4,3] => [6,7,2,5,4,8,1,3] => 0001011
[8,4,7,6,1,5,2,3] => [6,5,2,7,4,8,1,3] => [8,4,5,2,7,6,1,3] => 0001111
[8,4,6,7,1,5,2,3] => [7,5,2,8,1,4,6,3] => [8,2,5,4,6,7,1,3] => 0001011
[5,1,6,8,4,2,3,7] => [5,4,2,8,1,6,3,7] => [6,8,4,2,5,1,3,7] => 0011001
[3,7,5,8,1,6,2,4] => [8,6,3,2,7,1,5,4] => [3,7,2,6,5,8,1,4] => 0000111
[2,4,7,1,5,8,6,3] => [7,2,6,4,1,8,5,3] => [2,4,8,6,1,5,7,3] => 0000111
[8,5,6,7,1,4,2,3] => [7,4,2,1,8,5,6,3] => [4,2,8,5,6,7,1,3] => 0010011
[8,6,7,5,1,4,2,3] => [5,4,2,1,7,8,6,3] => [4,2,8,6,7,5,1,3] => 0011011
[7,6,8,5,1,4,2,3] => [5,4,2,1,8,7,6,3] => [4,2,7,6,8,5,1,3] => 0011011
[2,4,6,7,1,5,8,3] => [7,2,8,4,1,6,5,3] => [2,4,6,8,1,5,7,3] => 0000011
[7,8,6,5,1,4,2,3] => [5,4,2,1,6,8,7,3] => [4,2,7,8,6,5,1,3] => 0011101
[3,1,7,5,4,2,8,6] => [3,4,1,5,7,8,2,6] => [8,5,4,1,3,2,7,6] => 0111011
[8,2,7,1,5,3,4,6] => [7,8,5,3,1,4,2,6] => [5,3,8,1,4,7,2,6] => 0001011
[6,3,7,1,5,4,2,8] => [7,4,5,6,1,2,3,8] => [6,1,5,4,2,7,3,8] => 0011110
[4,5,1,3,6,8,2,7] => [5,8,1,4,3,6,2,7] => [4,6,8,1,3,5,2,7] => 0001001
[3,6,2,1,5,8,4,7] => [2,6,3,8,1,5,4,7] => [3,8,2,1,5,6,4,7] => 1000101
[4,8,2,1,7,5,3,6] => [2,8,5,4,7,3,1,6] => [4,7,5,3,8,2,1,6] => 1001011
[4,7,1,2,6,3,8,5] => [7,1,6,4,8,2,3,5] => [4,8,1,2,6,3,7,5] => 0000111
[4,7,2,1,8,5,3,6] => [2,7,5,4,8,3,1,6] => [4,8,5,3,7,2,1,6] => 1001011
[2,7,4,1,6,5,3,8] => [4,2,7,5,6,3,1,8] => [2,6,5,3,7,4,1,8] => 0011110
[7,1,6,4,5,8,3,2] => [7,3,8,6,4,1,5,2] => [6,4,8,3,1,5,7,2] => 0100111
[2,6,4,1,7,5,3,8] => [4,2,6,5,7,3,1,8] => [2,7,5,3,6,4,1,8] => 0011110
[6,8,5,7,1,4,3,2] => [7,3,4,1,8,6,5,2] => [4,3,1,6,8,5,7,2] => 0110011
[8,6,5,7,1,4,3,2] => [7,3,4,1,6,8,5,2] => [4,3,1,8,6,5,7,2] => 0110111
[6,5,7,8,1,4,3,2] => [8,3,4,1,6,5,7,2] => [4,3,1,6,5,7,8,2] => 0110101
[4,2,8,1,6,5,3,7] => [8,4,5,2,6,1,3,7] => [6,5,2,4,1,8,3,7] => 0011101
[8,3,1,4,5,6,7,2] => [3,8,7,2,4,5,6,1] => [7,2,4,5,6,8,3,1] => 0100011
[5,3,1,4,8,6,7,2] => [3,5,7,2,4,8,6,1] => [8,6,7,2,4,5,3,1] => 0101011
[7,1,5,8,4,3,6,2] => [7,6,4,8,1,3,5,2] => [8,4,1,6,3,5,7,2] => 0010111
[5,8,1,6,4,3,7,2] => [8,7,4,6,5,1,3,2] => [5,6,4,1,7,3,8,2] => 0010111
[5,3,1,8,4,6,7,2] => [3,5,7,8,2,4,6,1] => [8,2,6,7,4,5,3,1] => 0101011
[8,2,6,1,4,5,3,7] => [6,8,5,1,4,2,3,7] => [5,1,4,8,2,6,3,7] => 0001101
[7,1,4,5,6,8,3,2] => [7,3,8,1,4,5,6,2] => [8,3,1,4,5,6,7,2] => 0100011
[8,5,6,7,1,4,3,2] => [7,3,4,1,8,5,6,2] => [4,3,1,8,5,6,7,2] => 0110011
[6,8,7,5,1,4,3,2] => [5,3,4,1,7,6,8,2] => [4,3,1,6,8,7,5,2] => 0111011
[3,5,1,7,4,6,8,2] => [5,8,3,7,1,4,6,2] => [3,7,1,6,8,4,5,2] => 0001011
[7,1,6,5,4,8,3,2] => [7,3,8,5,6,1,4,2] => [6,5,3,1,8,4,7,2] => 0101111
[5,7,6,8,1,4,3,2] => [8,3,4,1,5,7,6,2] => [4,3,1,5,7,6,8,2] => 0110011
[4,3,1,6,5,8,7,2] => [3,4,7,2,6,5,8,1] => [6,5,8,7,2,4,3,1] => 0110111
[5,3,1,2,4,8,7,6] => [3,1,5,2,4,7,8,6] => [5,3,1,2,4,8,7,6] => 0101011
[5,3,6,2,1,8,7,4] => [2,6,5,7,3,1,8,4] => [8,7,3,5,2,1,6,4] => 1001111
[5,3,7,2,8,4,1,6] => [4,8,7,5,1,2,3,6] => [5,1,7,2,8,4,3,6] => 0011011
[6,2,4,5,1,8,7,3] => [5,6,7,2,4,1,8,3] => [8,7,2,4,6,1,5,3] => 0001111
[1,6,4,5,2,8,7,3] => [1,5,7,6,4,2,8,3] => [1,6,4,8,7,2,5,3] => 0001111
[5,7,4,1,6,3,2,8] => [4,3,7,6,5,2,1,8] => [5,6,3,2,7,4,1,8] => 0110110
[4,8,3,5,6,7,1,2] => [7,1,8,4,3,5,6,2] => [4,8,3,5,6,7,1,2] => 0000011
[1,8,3,5,6,7,2,4] => [1,7,8,2,3,5,6,4] => [1,8,2,5,6,7,3,4] => 0000011
[4,8,1,5,6,7,2,3] => [8,7,2,4,1,5,6,3] => [4,7,2,5,6,8,1,3] => 0000011
[5,8,4,3,6,1,2,7] => [6,1,4,8,5,3,2,7] => [5,8,4,3,6,1,2,7] => 0010101
[5,3,8,4,1,7,2,6] => [4,8,7,5,1,3,2,6] => [5,1,7,3,8,4,2,6] => 0011011
[1,5,8,4,6,7,3,2] => [1,3,7,8,5,4,6,2] => [1,5,8,4,6,7,3,2] => 0100011
[1,4,8,3,6,7,5,2] => [1,5,7,4,8,2,6,3] => [1,4,8,2,6,7,5,3] => 0001011
[3,8,2,5,6,7,1,4] => [7,8,3,1,2,5,6,4] => [3,8,1,5,6,7,2,4] => 0000011
[7,8,4,3,6,2,1,5] => [2,6,4,8,1,3,7,5] => [7,8,4,2,1,6,3,5] => 1010101
[4,3,1,6,8,7,5,2] => [3,4,5,2,7,6,8,1] => [6,8,7,5,2,4,3,1] => 0111011
[6,3,5,8,2,7,1,4] => [7,8,6,1,3,5,2,4] => [6,1,5,8,3,7,2,4] => 0000111
[7,5,4,8,6,2,1,3] => [2,6,1,5,8,7,3,4] => [7,5,2,1,3,8,6,4] => 1001111
[7,3,6,1,8,2,4,5] => [6,8,7,2,4,3,1,5] => [7,2,4,8,3,6,1,5] => 0000111
[1,7,6,5,8,3,4,2] => [1,4,8,3,6,7,5,2] => [1,7,6,5,8,3,4,2] => 0010111
[1,8,5,3,6,7,4,2] => [1,4,7,5,8,2,6,3] => [1,8,5,2,6,7,4,3] => 0011011
[8,4,1,5,6,7,3,2] => [4,3,8,7,2,5,6,1] => [7,3,2,5,6,8,4,1] => 0110011
[8,4,2,5,6,7,1,3] => [7,4,1,8,2,5,6,3] => [8,4,1,5,6,7,2,3] => 0010011
[4,1,8,5,6,7,3,2] => [4,3,7,1,8,5,6,2] => [8,5,6,7,3,1,4,2] => 0110011
[1,2,8,5,6,7,3,4] => [1,2,7,3,8,5,6,4] => [1,2,8,5,6,7,3,4] => 0000011
[1,5,3,8,6,7,4,2] => [1,4,7,5,2,8,6,3] => [1,5,2,8,6,7,4,3] => 0011011
[1,4,5,8,6,7,3,2] => [1,3,7,4,5,8,6,2] => [1,4,5,8,6,7,3,2] => 0100011
[4,3,5,8,1,7,2,6] => [8,7,4,3,5,2,1,6] => [4,3,5,7,2,8,1,6] => 0010011
[3,5,4,8,6,1,2,7] => [6,1,3,5,4,8,2,7] => [3,5,4,8,6,1,2,7] => 0001101
[1,4,8,5,6,7,2,3] => [1,7,2,4,8,5,6,3] => [1,4,8,5,6,7,2,3] => 0000011
[2,7,1,5,6,3,4,8] => [7,2,6,3,1,5,4,8] => [2,6,3,5,7,1,4,8] => 0000110
[2,7,1,4,3,6,5,8] => [7,2,4,1,6,3,5,8] => [2,4,1,6,3,7,5,8] => 0010110
[4,3,7,2,5,6,8,1] => [8,7,4,3,2,5,6,1] => [4,3,7,2,5,6,8,1] => 0010011
[2,6,3,1,4,5,8,7] => [3,2,6,1,4,5,8,7] => [2,6,3,1,4,5,8,7] => 0100101
[3,7,1,4,2,6,8,5] => [7,4,3,1,8,2,6,5] => [3,4,1,8,2,6,7,5] => 0010011
[3,7,1,5,6,2,8,4] => [7,6,3,8,1,5,2,4] => [3,8,1,5,6,2,7,4] => 0000111
[8,4,2,6,3,7,1,5] => [7,4,8,6,1,3,2,5] => [6,1,8,4,3,7,2,5] => 0010111
[8,4,2,3,5,7,1,6] => [7,4,2,8,3,1,5,6] => [8,4,2,3,7,1,5,6] => 0010011
[5,3,4,6,2,8,1,7] => [8,6,5,3,4,2,1,7] => [5,3,4,6,2,8,1,7] => 0001101
[6,4,7,2,3,8,1,5] => [8,7,2,6,1,4,3,5] => [6,2,7,4,8,1,3,5] => 0000111
[6,5,7,2,8,3,1,4] => [3,8,7,2,6,5,1,4] => [6,5,7,2,8,3,1,4] => 0100111
[8,7,6,1,4,5,2,3] => [6,5,2,1,4,7,8,3] => [5,2,4,8,7,6,1,3] => 0001111
[8,7,6,1,3,2,5,4] => [6,3,1,5,2,7,8,4] => [3,1,5,2,8,7,6,4] => 0101111
[8,7,4,5,1,6,2,3] => [5,6,2,7,4,1,8,3] => [8,7,4,6,2,5,1,3] => 0001111
[8,5,6,4,1,7,2,3] => [4,6,1,7,8,5,2,3] => [8,5,7,1,6,4,2,3] => 0010111
[6,7,4,2,3,1,8,5] => [3,4,2,7,8,6,1,5] => [6,8,4,2,3,1,7,5] => 0110011
[6,7,5,3,1,2,8,4] => [3,1,5,7,8,6,4,2] => [6,8,4,7,5,3,1,2] => 0101011
[6,7,5,4,1,8,2,3] => [4,5,2,7,8,6,1,3] => [6,8,2,7,5,4,1,3] => 0011011
[10,4,1,2,3,5,6,7,8,9] => [4,1,2,10,3,5,6,7,8,9] => [10,4,1,2,3,5,6,7,8,9] => 001000001
[5,10,1,2,3,4,6,7,8,9] => [10,1,2,3,5,4,6,7,8,9] => [5,10,1,2,3,4,6,7,8,9] => 000000001
[2,11,1,3,4,5,6,7,8,9,10] => [11,2,1,3,4,5,6,7,8,9,10] => [2,11,1,3,4,5,6,7,8,9,10] => 0000000001
[2,3,10,1,4,5,6,7,8,9] => [10,2,3,1,4,5,6,7,8,9] => [2,3,10,1,4,5,6,7,8,9] => 000000001
[11,7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,11,6,8,9,10] => [11,7,1,2,3,4,5,6,8,9,10] => 0000010001
[6,3,2,4,7,5,1,8] => [5,3,7,1,6,4,2,8] => [6,3,1,4,7,5,2,8] => 0101110
[4,2,1,6,3,7,8,5] => [2,4,6,1,8,3,7,5] => [7,8,2,1,4,3,6,5] => 1010101
[2,7,6,8,3,1,4,5] => [3,2,8,1,4,7,6,5] => [2,7,6,8,3,1,4,5] => 0100011
[7,4,3,5,8,6,2,1] => [2,6,4,8,1,7,5,3] => [7,4,2,1,5,8,6,3] => 1010111
[4,2,1,3,7,8,6,5] => [2,4,1,3,6,8,7,5] => [4,2,1,3,7,8,6,5] => 1010101
[5,8,1,7,4,3,6,2] => [8,6,4,7,5,3,1,2] => [5,7,4,3,6,1,8,2] => 0010111
[3,7,8,6,2,1,4,5] => [2,6,3,1,4,8,7,5] => [3,7,8,6,2,1,4,5] => 1000101
[4,2,1,3,6,8,7,5] => [2,4,1,3,7,6,8,5] => [4,2,1,3,6,8,7,5] => 1010011
[7,3,2,4,8,6,5,1] => [5,3,6,2,8,7,4,1] => [7,3,2,4,8,6,5,1] => 0101111
[4,2,1,6,3,8,7,5] => [2,4,6,1,7,3,8,5] => [8,7,2,1,4,3,6,5] => 1010111
[4,8,6,2,7,3,5,1] => [5,6,8,4,2,7,3,1] => [4,7,2,8,6,3,5,1] => 0001111
[7,3,4,2,6,8,1,5] => [8,4,7,3,1,2,6,5] => [7,3,4,1,6,8,2,5] => 0010011
[3,6,7,5,2,4,8,1] => [8,5,3,2,7,6,4,1] => [3,6,7,5,2,4,8,1] => 0001011
[3,6,7,5,2,4,1,8] => [4,5,3,2,7,6,1,8] => [3,6,7,5,2,4,1,8] => 0011010
[3,7,6,8,4,2,5,1] => [5,4,3,8,2,7,6,1] => [3,7,6,8,4,2,5,1] => 0011011
[5,8,1,7,4,2,6,3] => [8,4,7,6,5,3,1,2] => [5,6,3,7,4,1,8,2] => 0010111
[4,2,1,3,8,6,7,5] => [2,4,1,3,7,8,6,5] => [4,2,1,3,8,6,7,5] => 1010011
[4,2,1,8,3,7,6,5] => [2,4,8,1,6,7,3,5] => [7,6,2,1,4,3,8,5] => 1010111
[7,8,2,4,1,3,6,5] => [4,8,1,2,6,3,7,5] => [6,1,4,2,3,7,8,5] => 0010101
[2,6,1,5,4,7,8,3] => [6,2,8,5,1,4,7,3] => [2,5,1,7,8,4,6,3] => 0001101
[4,6,3,5,8,7,1,2] => [7,1,6,4,3,5,8,2] => [4,6,3,5,8,7,1,2] => 0000111
[2,3,6,8,4,1,5,7] => [4,2,3,8,1,6,5,7] => [2,3,6,8,4,1,5,7] => 0010001
[4,7,5,2,1,3,6,8] => [2,5,1,4,7,3,6,8] => [4,7,5,2,1,3,6,8] => 1001010
[3,5,6,2,4,1,7,8] => [4,6,3,2,5,1,7,8] => [3,5,6,2,4,1,7,8] => 0010100
[7,1,6,8,4,5,3,2] => [7,3,5,8,4,1,6,2] => [8,4,5,3,1,6,7,2] => 0101011
[5,7,4,6,8,1,3,2] => [8,3,1,7,5,4,6,2] => [3,1,5,7,4,6,8,2] => 0100011
[1,8,4,6,7,5,3,2] => [1,3,5,7,8,2,6,4] => [1,8,3,2,6,7,5,4] => 0101011
[4,5,8,6,1,7,3,2] => [6,3,8,4,5,7,2,1] => [4,5,7,3,2,8,6,1] => 0100111
[4,8,5,1,6,7,3,2] => [5,3,8,4,7,2,6,1] => [4,7,3,2,6,8,5,1] => 0101011
[8,1,4,5,6,7,3,2] => [8,3,7,1,4,5,6,2] => [7,3,1,4,5,6,8,2] => 0100011
[5,6,7,1,4,2,3,8] => [7,4,2,1,5,6,3,8] => [4,2,5,6,7,1,3,8] => 0010010
[8,3,1,4,6,2,5,7] => [3,8,6,2,1,4,5,7] => [6,2,8,3,1,4,5,7] => 0100101
[3,5,1,2,8,4,7,6] => [5,1,3,8,2,7,4,6] => [3,7,1,2,5,4,8,6] => 0001011
[2,3,5,8,6,1,7,4] => [6,2,3,8,5,7,4,1] => [2,3,5,7,4,8,6,1] => 0000111
[8,2,4,3,6,7,1,5] => [7,8,4,2,1,3,6,5] => [4,2,8,1,6,7,3,5] => 0010011
[3,2,8,5,7,1,6,4] => [7,3,2,6,8,1,5,4] => [3,2,8,1,6,5,7,4] => 0100111
[2,8,7,1,4,6,5,3] => [7,2,5,1,6,4,8,3] => [2,6,5,1,4,8,7,3] => 0001111
[2,7,3,6,5,8,1,4] => [8,2,7,1,6,3,5,4] => [2,6,1,7,5,8,3,4] => 0000111
[1,7,8,2,6,4,3,5] => [1,8,4,6,3,2,7,5] => [1,6,4,3,7,8,2,5] => 0010101
[1,7,3,8,2,6,4,5] => [1,8,7,6,4,2,3,5] => [1,6,4,7,2,8,3,5] => 0000111
[1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => [1,2,6,4,7,3,5,8] => 0000110
[7,1,5,8,3,2,4,6] => [7,3,8,2,1,4,5,6] => [8,3,2,7,1,4,5,6] => 0100011
[1,6,2,8,4,3,7,5] => [1,6,4,8,7,2,3,5] => [1,7,4,2,8,3,6,5] => 0010111
[1,3,8,7,2,4,6,5] => [1,7,3,2,6,4,8,5] => [1,3,6,2,4,8,7,5] => 0000111
[1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => [1,2,3,4,7,5,8,6] => 0000011
[2,4,7,5,6,8,3,1] => [3,2,8,4,7,5,6,1] => [2,4,7,5,6,8,3,1] => 0100011
[2,4,8,7,5,6,3,1] => [3,2,6,4,7,5,8,1] => [2,4,8,7,5,6,3,1] => 0100111
[2,8,5,7,3,6,4,1] => [4,2,6,7,8,1,5,3] => [2,8,1,7,5,6,4,3] => 0010111
[3,1,8,5,2,7,6,4] => [3,5,1,8,6,7,4,2] => [7,6,4,8,5,1,3,2] => 0101111
[8,3,5,7,1,6,4,2] => [7,4,6,8,2,1,5,3] => [8,2,6,4,1,5,7,3] => 0010111
[8,3,6,1,4,5,7,2] => [6,7,8,1,4,3,5,2] => [8,1,4,7,3,5,6,2] => 0000111
[2,5,7,3,4,8,6,1] => [6,2,8,1,5,7,4,3] => [2,5,7,1,4,8,6,3] => 0000111
[3,1,8,7,2,6,4,5] => [3,7,1,6,4,2,8,5] => [6,4,8,7,1,3,2,5] => 0100111
[4,8,1,7,2,3,6,5] => [8,7,2,4,6,3,1,5] => [4,6,2,3,7,1,8,5] => 0000111
[3,7,1,8,2,6,4,5] => [7,8,3,6,4,2,1,5] => [3,6,4,8,2,7,1,5] => 0000111
[7,3,8,5,1,6,4,2] => [5,4,8,6,7,3,1,2] => [7,3,6,4,1,8,5,2] => 0011111
[7,8,3,6,1,4,5,2] => [6,5,8,1,4,3,7,2] => [7,8,1,4,5,3,6,2] => 0001101
[7,4,8,1,2,3,6,5] => [8,1,2,7,6,3,4,5] => [6,1,2,3,7,4,8,5] => 0000111
[8,7,4,6,1,2,5,3] => [6,1,5,7,2,4,8,3] => [8,7,1,2,5,4,6,3] => 0001111
[4,8,6,1,2,3,7,5] => [6,1,2,4,8,7,5,3] => [4,7,5,8,6,1,2,3] => 0000111
[4,1,2,5,3,8,7,6] => [4,1,5,2,3,7,8,6] => [5,1,2,4,3,8,7,6] => 0011011
[3,1,4,8,7,5,2,6] => [3,5,1,4,7,2,8,6] => [4,8,7,5,1,3,2,6] => 0101011
[5,4,1,8,2,7,6,3] => [4,5,8,6,2,7,3,1] => [7,6,2,8,3,5,4,1] => 0011111
[6,4,8,1,2,5,3,7] => [8,1,5,6,2,4,3,7] => [6,1,2,5,4,8,3,7] => 0001101
[5,6,3,8,7,1,4,2] => [7,4,6,1,5,3,8,2] => [5,6,1,4,3,8,7,2] => 0010111
[5,4,1,6,8,2,7,3] => [4,5,8,7,2,6,3,1] => [6,7,2,8,3,5,4,1] => 0011011
[6,7,4,1,2,8,3,5] => [4,1,7,8,2,6,3,5] => [6,8,1,2,7,4,3,5] => 0010011
[8,6,5,1,2,3,7,4] => [5,1,2,6,8,7,3,4] => [7,1,2,3,8,6,5,4] => 0001111
[7,8,6,4,1,2,5,3] => [4,1,6,5,3,8,7,2] => [5,3,7,8,6,4,1,2] => 0011101
[1,4,6,3,7,2,5,8] => [1,7,6,4,2,3,5,8] => [1,4,6,2,7,3,5,8] => 0000110
[8,6,2,5,3,1,7,4] => [3,5,6,8,4,7,2,1] => [7,4,8,6,2,5,3,1] => 0101111
[8,2,3,4,5,1,7,6] => [5,8,2,3,4,7,1,6] => [7,2,3,4,5,1,8,6] => 0001011
[1,8,3,4,2,7,5,6] => [1,4,8,3,7,5,2,6] => [1,7,5,8,3,4,2,6] => 0010011
[8,7,2,3,1,6,5,4] => [3,7,2,5,6,1,8,4] => [6,5,2,3,1,8,7,4] => 0101111
[7,8,2,4,3,1,6,5] => [3,4,8,1,6,2,7,5] => [6,1,4,3,2,7,8,5] => 0110101
[5,1,4,3,7,2,6,8] => [5,7,4,1,3,2,6,8] => [4,1,7,3,5,2,6,8] => 0011010
[2,1,8,3,7,5,4,6] => [2,1,8,5,7,4,3,6] => [2,1,7,5,4,8,3,6] => 1001011
[4,5,2,8,1,6,7,3] => [8,5,7,4,2,1,6,3] => [4,7,2,5,1,6,8,3] => 0001011
[1,3,8,2,5,7,4,6] => [1,8,3,7,2,4,5,6] => [1,3,7,2,8,4,5,6] => 0000011
[1,4,8,6,2,7,3,5] => [1,6,8,4,2,7,3,5] => [1,4,7,2,8,6,3,5] => 0000111
[3,5,6,8,4,1,7,2] => [4,8,3,7,5,6,2,1] => [3,5,6,7,2,8,4,1] => 0010011
[8,2,3,1,4,5,7,6] => [3,8,2,1,4,7,5,6] => [7,2,3,1,4,5,8,6] => 0100011
[8,5,1,3,2,4,7,6] => [5,3,1,2,8,7,4,6] => [3,1,7,5,2,4,8,6] => 0101011
[7,5,1,3,2,6,4,8] => [5,3,1,7,6,4,2,8] => [3,1,6,4,7,5,2,8] => 0101110
[4,5,7,1,2,6,3,8] => [7,1,6,4,5,2,3,8] => [4,5,6,1,2,7,3,8] => 0000110
[3,7,4,1,2,6,5,8] => [4,1,3,7,6,2,5,8] => [3,6,4,1,2,7,5,8] => 0010110
[7,8,1,2,5,3,6,4] => [8,1,5,6,2,3,7,4] => [6,1,2,5,3,7,8,4] => 0001101
[3,8,4,1,2,5,7,6] => [4,1,3,8,2,7,5,6] => [3,7,4,1,2,5,8,6] => 0010011
[1,7,5,3,2,8,4,6] => [1,3,5,7,8,2,4,6] => [1,8,3,2,7,5,4,6] => 0101011
[1,3,4,8,2,5,7,6] => [1,8,3,4,2,7,5,6] => [1,3,4,7,2,5,8,6] => 0000011
[1,4,8,3,2,5,7,6] => [1,3,8,4,2,7,5,6] => [1,4,7,3,2,5,8,6] => 0100011
[1,2,4,8,3,5,7,6] => [1,2,8,4,3,7,5,6] => [1,2,4,7,3,5,8,6] => 0000011
[1,3,8,4,2,6,7,5] => [1,4,3,8,7,2,6,5] => [1,3,7,4,2,6,8,5] => 0010011
[1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => [1,4,7,2,3,5,8,6] => 0000011
[6,5,7,3,8,2,4,1] => [4,8,7,2,6,5,3,1] => [6,5,7,2,8,3,4,1] => 0010111
[6,7,5,2,1,8,4,3] => [2,5,4,7,8,6,3,1] => [6,8,4,3,7,5,2,1] => 1011011
[3,4,8,7,5,2,1,6] => [2,5,3,4,7,1,8,6] => [3,4,8,7,5,2,1,6] => 1001011
[1,7,5,2,8,4,6,3] => [1,5,7,6,8,2,3,4] => [1,8,2,6,3,7,5,4] => 0001111
[5,6,8,3,1,7,2,4] => [3,8,7,1,5,6,2,4] => [5,6,7,1,8,3,2,4] => 0100011
[3,4,7,1,8,6,2,5] => [7,6,3,4,2,8,1,5] => [3,4,8,6,2,7,1,5] => 0000111
[3,4,6,8,2,1,5,7] => [2,8,3,4,1,6,5,7] => [3,4,6,8,2,1,5,7] => 1000001
[3,8,2,5,6,1,4,7] => [6,8,3,1,2,5,4,7] => [3,8,1,5,6,2,4,7] => 0000101
[3,5,2,8,6,4,1,7] => [4,6,3,5,1,8,2,7] => [3,5,1,8,6,4,2,7] => 0011101
[4,2,5,7,3,8,6,1] => [6,4,8,2,5,7,1,3] => [5,7,2,4,1,8,6,3] => 0010111
[3,1,2,8,5,6,4,7] => [3,1,2,6,8,5,4,7] => [3,1,2,8,5,6,4,7] => 0100101
[5,2,6,8,4,1,3,7] => [4,8,2,5,1,6,3,7] => [5,2,6,8,4,1,3,7] => 0011001
[1,5,6,8,3,4,2,7] => [1,4,8,3,5,6,2,7] => [1,5,6,8,3,4,2,7] => 0010001
[4,5,8,1,6,3,2,7] => [8,3,6,4,5,1,2,7] => [4,5,6,3,1,8,2,7] => 0100101
[4,5,7,3,8,2,6,1] => [6,8,7,4,5,2,3,1] => [4,5,7,2,8,3,6,1] => 0000111
[7,1,3,5,4,8,2,6] => [7,8,1,5,3,2,4,6] => [5,1,3,8,2,7,4,6] => 0001011
[5,7,3,8,4,6,1,2] => [6,1,7,8,5,4,3,2] => [5,8,4,7,3,6,1,2] => 0000111
[4,6,3,7,8,5,2,1] => [2,5,8,4,6,1,7,3] => [4,6,2,1,7,8,5,3] => 1001101
[5,3,6,7,8,4,2,1] => [2,4,8,5,1,6,7,3] => [5,2,1,6,7,8,4,3] => 1011001
[1,5,3,6,7,8,4,2] => [1,4,8,5,2,6,7,3] => [1,5,2,6,7,8,4,3] => 0011001
[6,3,7,1,8,4,5,2] => [7,5,6,8,4,3,1,2] => [8,4,6,3,5,1,7,2] => 0001111
[6,7,2,4,8,1,5,3] => [8,7,5,2,1,6,4,3] => [5,2,6,7,1,4,8,3] => 0001011
[3,2,5,6,7,8,1,4] => [8,3,2,1,5,6,7,4] => [3,2,5,6,7,8,1,4] => 0100001
[6,2,7,1,3,4,8,5] => [7,6,1,3,8,2,4,5] => [8,1,3,6,2,4,7,5] => 0000111
[4,2,6,3,7,8,5,1] => [5,4,8,2,6,1,7,3] => [6,2,4,1,7,8,5,3] => 0011101
[3,6,2,7,4,1,8,5] => [4,7,3,6,8,1,2,5] => [3,8,1,6,4,2,7,5] => 0010111
[6,7,3,2,1,4,8,5] => [2,3,7,1,8,6,4,5] => [6,8,3,2,1,4,7,5] => 1100011
[7,3,4,8,6,2,1,5] => [2,6,8,1,3,7,4,5] => [7,2,1,8,6,3,4,5] => 1000111
[6,3,7,8,2,5,4,1] => [4,5,8,6,3,1,7,2] => [6,3,7,8,1,5,4,2] => 0011101
[2,6,7,4,8,5,3,1] => [3,2,5,8,7,6,1,4] => [2,6,7,3,1,8,5,4] => 0101011
[6,2,4,7,1,8,5,3] => [7,6,5,2,8,4,1,3] => [8,5,2,4,6,1,7,3] => 0001111
[4,6,2,7,1,8,5,3] => [7,6,5,4,8,2,1,3] => [4,8,5,2,6,1,7,3] => 0001111
[2,5,7,8,1,6,3,4] => [8,2,6,3,5,1,7,4] => [2,5,6,3,7,8,1,4] => 0000101
[6,3,7,1,8,2,5,4] => [7,8,6,5,2,3,1,4] => [5,2,6,3,8,1,7,4] => 0001111
[1,6,4,7,8,2,5,3] => [1,8,5,6,2,4,7,3] => [1,6,2,5,4,7,8,3] => 0001101
[2,5,6,1,7,8,4,3] => [6,2,4,8,5,1,7,3] => [2,5,7,8,4,1,6,3] => 0010101
[5,6,1,2,7,8,4,3] => [6,1,4,8,5,2,7,3] => [5,7,8,4,1,2,6,3] => 0010101
[6,7,2,8,5,4,1,3] => [4,5,1,8,7,6,2,3] => [6,7,1,8,5,4,2,3] => 0011011
[1,6,7,4,8,5,3,2] => [1,3,5,8,7,6,2,4] => [1,6,7,3,2,8,5,4] => 0101011
[1,8,2,4,6,3,5,7] => [1,8,6,2,3,4,5,7] => [1,6,2,8,3,4,5,7] => 0000101
[7,2,8,3,5,1,4,6] => [5,7,8,1,3,4,2,6] => [8,1,7,3,4,5,2,6] => 0001011
[1,3,7,4,6,2,5,8] => [1,6,3,7,2,4,5,8] => [1,3,7,2,6,4,5,8] => 0000110
[1,5,7,4,3,6,2,8] => [1,6,4,7,5,3,2,8] => [1,5,7,4,3,6,2,8] => 0010110
[1,8,4,5,3,6,2,7] => [1,6,5,8,4,3,2,7] => [1,8,4,5,3,6,2,7] => 0001101
[1,8,2,5,4,6,7,3] => [1,8,7,5,2,4,6,3] => [1,5,2,7,4,6,8,3] => 0001011
[3,6,2,7,1,4,5,8] => [7,6,3,1,4,2,5,8] => [3,6,1,4,7,2,5,8] => 0000110
[6,3,8,1,2,4,7,5] => [8,1,6,2,7,3,4,5] => [7,1,2,6,3,4,8,5] => 0000111
[1,3,7,4,6,2,8,5] => [1,6,3,7,8,4,2,5] => [1,3,8,4,7,2,6,5] => 0000111
[1,4,7,5,2,6,8,3] => [1,5,7,4,8,3,6,2] => [1,4,8,3,6,7,5,2] => 0001011
[2,5,4,7,1,6,8,3] => [7,2,8,5,4,1,6,3] => [2,5,4,8,1,6,7,3] => 0001011
[4,2,3,8,6,7,1,5] => [7,4,2,3,1,8,6,5] => [4,2,3,8,6,7,1,5] => 0010011
[6,2,5,4,8,3,7,1] => [7,6,8,5,2,4,3,1] => [5,2,8,4,6,3,7,1] => 0001111
[5,2,3,4,8,1,6,7] => [8,5,2,3,4,1,6,7] => [5,2,3,4,8,1,6,7] => 0001001
[3,5,2,4,7,1,6,8] => [7,5,3,2,4,1,6,8] => [3,5,2,4,7,1,6,8] => 0001010
[4,5,3,7,1,6,2,8] => [7,6,5,4,3,1,2,8] => [4,5,3,6,1,7,2,8] => 0001110
[6,2,4,8,5,1,3,7] => [5,8,2,1,6,4,3,7] => [6,2,4,8,5,1,3,7] => 0001101
[7,6,3,8,5,1,2,4] => [5,1,8,3,6,7,2,4] => [7,6,3,8,5,1,2,4] => 0001111
[1,4,3,7,8,2,5,6] => [1,8,4,3,2,5,7,6] => [1,4,3,7,8,2,5,6] => 0010001
[4,2,6,7,3,8,1,5] => [8,4,7,2,1,6,3,5] => [6,7,2,4,1,8,3,5] => 0010011
[1,5,7,4,2,8,6,3] => [1,4,7,6,5,8,3,2] => [1,5,8,6,3,7,4,2] => 0010111
[1,3,7,2,8,6,4,5] => [1,7,3,6,4,8,2,5] => [1,3,8,6,4,7,2,5] => 0000111
[1,4,3,7,8,6,2,5] => [1,6,4,3,2,8,7,5] => [1,4,3,7,8,6,2,5] => 0010101
[4,3,6,5,7,8,1,2] => [8,1,4,3,6,5,7,2] => [4,3,6,5,7,8,1,2] => 0010101
[4,2,6,7,3,8,5,1] => [5,4,8,2,7,6,1,3] => [6,7,2,4,1,8,5,3] => 0011011
[4,6,5,2,3,1,8,7] => [3,5,2,4,6,1,8,7] => [4,6,5,2,3,1,8,7] => 0101101
[6,4,2,5,3,1,8,7] => [3,5,4,6,1,2,8,7] => [6,4,1,5,3,2,8,7] => 0111101
[6,4,2,5,3,8,7,1] => [7,4,6,5,3,2,8,1] => [5,3,6,4,2,8,7,1] => 0011111
[6,4,2,5,8,7,3,1] => [3,7,4,6,1,5,8,2] => [6,4,1,5,8,7,3,2] => 0110111
[6,8,7,4,5,2,3,1] => [3,5,2,7,4,6,8,1] => [6,8,7,4,5,2,3,1] => 0101011
[4,8,6,7,5,2,3,1] => [3,5,2,4,7,8,6,1] => [4,8,6,7,5,2,3,1] => 0101011
[8,6,2,4,7,5,3,1] => [3,5,7,2,6,8,4,1] => [8,6,2,4,7,5,3,1] => 0101111
[6,8,2,4,7,5,3,1] => [3,5,7,2,8,6,4,1] => [6,8,2,4,7,5,3,1] => 0101011
[4,8,2,6,7,5,3,1] => [3,5,7,4,8,2,6,1] => [4,8,2,6,7,5,3,1] => 0101011
[2,8,4,6,7,5,3,1] => [3,2,5,7,8,1,6,4] => [2,8,3,1,6,7,5,4] => 0101011
[2,8,6,7,4,5,3,1] => [3,2,5,7,4,8,6,1] => [2,8,6,7,4,5,3,1] => 0101011
[2,6,4,5,8,7,3,1] => [3,2,7,6,4,5,8,1] => [2,6,4,5,8,7,3,1] => 0100111
[4,6,2,8,7,5,3,1] => [3,5,7,4,6,2,8,1] => [4,6,2,8,7,5,3,1] => 0101111
[8,2,4,6,7,5,3,1] => [3,5,7,2,8,4,6,1] => [8,2,4,6,7,5,3,1] => 0101011
[6,2,4,8,7,5,3,1] => [3,5,7,2,6,4,8,1] => [6,2,4,8,7,5,3,1] => 0101111
[8,6,7,2,4,5,3,1] => [3,5,7,1,4,8,6,2] => [8,6,7,1,4,5,3,2] => 0101011
[6,4,5,2,8,7,3,1] => [3,7,5,6,4,1,8,2] => [6,4,5,1,8,7,3,2] => 0101111
[4,2,3,6,8,7,5,1] => [5,4,2,3,7,6,8,1] => [4,2,3,6,8,7,5,1] => 0011011
[8,6,7,4,2,5,3,1] => [3,5,4,7,1,8,6,2] => [8,6,7,4,1,5,3,2] => 0111011
[8,4,6,7,2,5,3,1] => [3,5,7,8,1,4,6,2] => [8,1,6,7,4,5,3,2] => 0101011
[6,4,8,7,2,5,3,1] => [3,5,7,6,1,4,8,2] => [6,1,8,7,4,5,3,2] => 0101111
[6,2,8,7,4,5,3,1] => [3,5,6,7,4,1,8,2] => [8,7,4,6,1,5,3,2] => 0101111
[4,6,8,7,5,2,3,1] => [3,5,2,4,7,6,8,1] => [4,6,8,7,5,2,3,1] => 0101011
[2,1,6,8,7,4,5,3] => [2,1,5,7,4,6,8,3] => [2,1,6,8,7,4,5,3] => 1001011
[2,6,8,7,4,5,3,1] => [3,2,5,7,4,6,8,1] => [2,6,8,7,4,5,3,1] => 0101011
[2,4,8,6,7,5,3,1] => [3,2,5,4,7,8,6,1] => [2,4,8,6,7,5,3,1] => 0101011
[4,2,8,6,7,5,3,1] => [3,5,4,1,7,8,6,2] => [4,1,8,6,7,5,3,2] => 0111011
[6,2,8,4,7,5,3,1] => [3,5,7,6,8,4,2,1] => [8,4,6,2,7,5,3,1] => 0101111
[8,2,6,4,7,5,3,1] => [3,5,7,8,6,4,2,1] => [6,4,8,2,7,5,3,1] => 0101111
[6,4,8,2,7,5,3,1] => [3,5,7,8,6,2,4,1] => [6,2,8,4,7,5,3,1] => 0101111
[4,6,8,2,7,5,3,1] => [3,5,7,4,8,6,2,1] => [4,6,8,2,7,5,3,1] => 0101011
[2,1,6,8,4,7,5,3] => [2,1,5,7,8,6,3,4] => [2,1,6,8,3,7,5,4] => 1001011
[4,8,6,2,7,5,3,1] => [3,5,7,4,6,8,2,1] => [4,8,6,2,7,5,3,1] => 0101111
[9,4,8,3,7,2,6,1,5] => [6,7,8,9,1,2,3,4,5] => [9,1,8,2,7,3,6,4,5] => 00001111
[9,2,4,6,8,1,3,5,7] => [8,9,1,2,3,4,5,6,7] => [9,1,8,2,3,4,5,6,7] => 00000011
[9,6,8,1,2,3,4,5,7] => [8,1,2,3,4,9,5,6,7] => [9,1,2,3,4,5,8,6,7] => 00000011
[7,9,1,2,3,4,5,6,8] => [9,1,2,3,4,5,7,6,8] => [7,9,1,2,3,4,5,6,8] => 00000001
[10,3,6,9,2,5,8,1,4,7] => [8,9,10,1,2,3,4,5,6,7] => [10,1,9,2,8,3,4,5,6,7] => 000000111
[10,3,5,7,9,1,2,4,6,8] => [9,1,10,2,3,4,5,6,7,8] => [10,1,2,9,3,4,5,6,7,8] => 000000011
[10,7,9,1,2,3,4,5,6,8] => [9,1,2,3,4,5,10,6,7,8] => [10,1,2,3,4,5,6,9,7,8] => 000000011
[6,2,5,7,4,8,3,1] => [3,8,6,7,1,5,4,2] => [7,1,5,6,4,8,3,2] => 0100111
[6,7,3,2,5,8,4,1] => [4,3,8,7,1,6,5,2] => [6,7,3,1,5,8,4,2] => 0110011
[7,1,6,3,5,8,4,2] => [7,4,8,6,2,1,5,3] => [6,2,8,4,1,5,7,3] => 0010111
[7,3,1,2,5,8,6,4] => [3,1,7,6,2,8,5,4] => [8,6,3,1,2,5,7,4] => 0100111
[1,6,3,5,2,4,8,7] => [1,5,6,2,3,4,8,7] => [1,6,2,5,3,4,8,7] => 0001101
[3,4,8,2,7,5,1,6] => [5,7,3,4,8,2,1,6] => [3,4,8,2,7,5,1,6] => 0001011
[6,3,2,8,5,7,4,1] => [4,3,7,6,8,1,5,2] => [8,3,1,6,5,7,4,2] => 0110111
[3,8,4,7,2,5,6,1] => [6,7,3,8,2,5,4,1] => [3,8,2,5,7,4,6,1] => 0000111
[2,4,8,1,5,3,7,6] => [8,2,5,4,1,7,3,6] => [2,4,5,1,7,3,8,6] => 0001011
[1,8,4,6,7,3,5,2] => [1,5,7,8,3,4,6,2] => [1,8,3,6,7,4,5,2] => 0001011
[5,7,6,8,3,4,2,1] => [2,4,8,3,5,7,6,1] => [5,7,6,8,3,4,2,1] => 1010011
[5,2,3,7,4,8,6,1] => [6,5,2,8,3,7,1,4] => [7,2,3,5,1,8,6,4] => 0001111
[7,8,1,5,4,3,6,2] => [8,6,4,5,1,3,7,2] => [5,4,1,6,3,7,8,2] => 0011101
[2,7,8,5,4,6,1,3] => [6,2,1,5,8,4,7,3] => [2,7,8,5,4,6,1,3] => 0001101
[8,3,1,7,4,2,5,6] => [3,8,4,7,1,5,2,6] => [7,4,1,5,8,3,2,6] => 0110011
[8,1,3,7,6,2,4,5] => [8,6,1,2,4,7,3,5] => [7,6,1,4,8,2,3,5] => 0000111
[4,7,3,2,5,1,8,6] => [5,3,7,4,2,8,1,6] => [4,8,3,2,5,1,7,6] => 0101011
[3,2,4,7,5,8,6,1] => [6,3,2,4,8,7,1,5] => [3,2,4,7,1,8,6,5] => 0100111
[4,2,3,8,6,5,1,7] => [5,4,2,3,6,8,1,7] => [4,2,3,8,6,5,1,7] => 0011101
[3,2,8,1,4,6,5,7] => [8,3,2,1,6,4,5,7] => [3,2,6,1,4,8,5,7] => 0100101
[3,7,8,5,6,1,2,4] => [6,1,3,2,8,5,7,4] => [3,7,8,5,6,1,2,4] => 0000101
[3,6,1,8,4,7,2,5] => [6,7,3,8,2,1,4,5] => [3,8,2,7,1,6,4,5] => 0000111
[4,7,8,1,3,2,6,5] => [8,3,1,4,6,2,7,5] => [3,1,4,6,2,7,8,5] => 0100101
[4,7,8,3,1,2,6,5] => [3,1,8,4,6,2,7,5] => [4,6,3,1,2,7,8,5] => 0100101
[4,1,6,8,2,3,7,5] => [4,8,2,1,7,6,3,5] => [6,7,2,4,1,3,8,5] => 0010011
[4,5,1,2,8,3,7,6] => [5,1,8,4,2,7,3,6] => [4,7,1,2,5,3,8,6] => 0001011
[4,5,2,1,8,3,7,6] => [2,5,8,4,1,7,3,6] => [4,7,2,1,5,3,8,6] => 1001011
[3,2,6,8,4,7,1,5] => [7,3,2,8,1,6,4,5] => [3,2,6,8,1,7,4,5] => 0100011
[4,2,6,8,3,1,7,5] => [3,8,4,1,7,6,2,5] => [4,1,6,7,3,2,8,5] => 0110011
[4,2,5,1,8,3,7,6] => [5,4,8,2,1,7,3,6] => [7,2,4,1,5,3,8,6] => 0011011
[4,1,2,5,8,3,7,6] => [4,1,8,2,5,7,3,6] => [5,7,1,2,4,3,8,6] => 0010011
[5,1,2,4,3,8,7,6] => [5,1,4,2,3,7,8,6] => [4,1,2,5,3,8,7,6] => 0011011
[4,2,5,3,8,1,7,6] => [8,4,5,2,3,7,1,6] => [5,2,4,3,7,1,8,6] => 0011011
[3,2,5,4,8,7,1,6] => [7,3,2,5,4,1,8,6] => [3,2,5,4,8,7,1,6] => 0101011
[3,5,2,4,8,7,1,6] => [7,5,3,2,4,1,8,6] => [3,5,2,4,8,7,1,6] => 0001011
[5,4,2,1,3,8,7,6] => [2,4,1,5,3,7,8,6] => [5,4,2,1,3,8,7,6] => 1011011
[5,1,4,2,3,8,7,6] => [5,4,2,1,3,7,8,6] => [4,2,5,1,3,8,7,6] => 0011011
[5,4,3,1,2,8,7,6] => [3,1,4,5,2,7,8,6] => [5,4,3,1,2,8,7,6] => 0111011
[3,1,5,4,8,7,2,6] => [3,7,1,5,4,2,8,6] => [5,4,8,7,1,3,2,6] => 0101011
[3,5,4,1,8,7,2,6] => [4,5,3,7,2,1,8,6] => [3,8,7,2,5,4,1,6] => 0011011
[3,6,5,8,7,1,2,4] => [7,1,3,2,6,5,8,4] => [3,6,5,8,7,1,2,4] => 0000111
[3,4,1,5,8,7,2,6] => [4,7,3,1,5,2,8,6] => [3,5,8,7,1,4,2,6] => 0010011
[4,1,3,5,8,2,7,6] => [4,8,1,3,5,7,2,6] => [5,7,1,3,4,2,8,6] => 0010011
[4,3,6,8,2,1,7,5] => [2,8,4,3,7,6,1,5] => [4,3,6,7,2,1,8,5] => 1010011
[2,4,6,8,3,7,5,1] => [5,2,7,4,8,6,1,3] => [2,4,6,8,1,7,5,3] => 0001011
[5,3,1,4,2,8,7,6] => [3,5,4,2,1,7,8,6] => [4,2,5,3,1,8,7,6] => 0111011
[5,1,3,2,4,8,7,6] => [5,3,1,2,4,7,8,6] => [3,1,5,2,4,8,7,6] => 0101011
[3,4,2,5,8,7,1,6] => [7,4,3,2,5,1,8,6] => [3,4,2,5,8,7,1,6] => 0010011
[3,2,4,5,8,7,1,6] => [7,3,2,4,5,1,8,6] => [3,2,4,5,8,7,1,6] => 0100011
[5,1,2,3,4,8,7,6] => [5,1,2,3,4,7,8,6] => [5,1,2,3,4,8,7,6] => 0001011
[8,6,2,5,4,1,3,7] => [4,5,2,6,1,8,3,7] => [8,6,2,5,4,1,3,7] => 0011101
[8,1,2,3,4,6,5,7] => [8,1,2,3,6,4,5,7] => [6,1,2,3,4,8,5,7] => 0000101
[8,4,7,6,2,1,3,5] => [2,6,1,7,4,8,3,5] => [8,4,7,6,2,1,3,5] => 1000111
[5,3,8,4,7,2,6,1] => [6,7,5,8,3,2,4,1] => [8,3,5,2,7,4,6,1] => 0001111
[8,1,3,7,6,4,2,5] => [8,4,1,6,2,7,3,5] => [7,6,4,1,8,2,3,5] => 0010111
[5,3,1,7,8,6,2,4] => [3,5,6,1,2,8,7,4] => [7,8,6,1,5,3,2,4] => 0101101
[3,5,8,2,7,1,6,4] => [7,8,3,6,5,1,2,4] => [3,5,6,1,8,2,7,4] => 0000111
[6,2,8,5,3,1,7,4] => [3,5,8,6,7,4,1,2] => [7,4,6,1,8,5,3,2] => 0101111
[8,3,7,4,2,5,6,1] => [6,4,7,8,3,5,2,1] => [8,3,5,7,4,2,6,1] => 0010111
[4,8,5,7,2,1,3,6] => [2,7,1,4,8,3,5,6] => [4,8,2,1,3,7,5,6] => 1000011
[3,4,1,8,2,6,7,5] => [4,8,3,1,7,2,6,5] => [3,7,1,4,2,6,8,5] => 0010011
[6,8,3,4,1,5,7,2] => [4,7,8,3,1,6,5,2] => [6,8,3,5,7,1,4,2] => 0010011
[6,8,2,5,7,4,1,3] => [4,7,2,8,1,6,5,3] => [6,8,2,5,7,4,1,3] => 0010011
[2,5,7,6,3,1,8,4] => [3,2,6,7,5,8,4,1] => [2,5,8,4,7,6,3,1] => 0100111
[4,2,1,8,7,5,6,3] => [2,4,6,1,7,5,8,3] => [8,7,5,6,2,1,4,3] => 1010111
[1,3,7,5,8,6,4,2] => [1,4,3,6,8,7,2,5] => [1,3,7,4,2,8,6,5] => 0010111
[5,7,8,4,3,1,6,2] => [3,4,8,6,5,1,7,2] => [5,6,1,7,8,4,3,2] => 0110101
[2,7,4,5,8,3,6,1] => [6,2,8,7,4,3,5,1] => [2,7,4,8,3,5,6,1] => 0000111
[3,5,7,1,4,8,6,2] => [7,6,3,1,5,8,4,2] => [3,5,8,6,1,4,7,2] => 0000111
[5,7,4,8,3,6,2,1] => [2,6,8,7,5,3,4,1] => [5,7,3,8,4,6,2,1] => 1000111
[4,8,6,1,3,5,2,7] => [6,5,1,4,3,8,2,7] => [4,5,1,3,8,6,2,7] => 0001101
[3,6,4,8,2,5,7,1] => [7,8,3,6,2,4,5,1] => [3,6,2,8,4,5,7,1] => 0000111
[4,3,7,2,5,8,1,6] => [8,7,4,3,2,1,5,6] => [4,3,7,2,8,1,5,6] => 0010011
[2,6,4,3,8,5,1,7] => [5,2,4,8,6,1,3,7] => [2,6,4,1,8,5,3,7] => 0011101
[3,8,2,1,6,4,5,7] => [2,8,3,6,4,1,5,7] => [3,6,4,8,2,1,5,7] => 1000101
[8,2,1,3,4,5,7,6] => [2,8,1,3,4,7,5,6] => [7,2,1,3,4,5,8,6] => 1000011
[4,6,8,3,2,1,5,7] => [2,3,8,4,1,6,5,7] => [4,6,8,3,2,1,5,7] => 1100001
[7,3,8,2,5,4,1,6] => [4,5,8,7,3,2,1,6] => [7,3,8,2,5,4,1,6] => 0011011
[4,2,5,3,8,7,6,1] => [6,4,5,2,3,7,8,1] => [5,2,4,3,8,7,6,1] => 0011111
[4,8,2,6,5,3,1,7] => [3,5,6,4,8,2,1,7] => [4,8,2,6,5,3,1,7] => 0101101
[2,6,8,5,4,1,3,7] => [4,2,1,5,8,6,3,7] => [2,6,8,5,4,1,3,7] => 0011001
[3,1,8,6,5,4,2,7] => [3,4,1,5,6,8,2,7] => [8,6,5,4,1,3,2,7] => 0111101
[5,4,8,7,3,2,6,1] => [6,3,7,5,4,2,8,1] => [5,4,8,7,3,2,6,1] => 0101111
[4,7,3,6,2,1,8,5] => [2,6,7,4,8,3,1,5] => [4,8,3,7,2,1,6,5] => 1000111
[5,4,3,7,1,8,2,6] => [7,8,4,5,3,2,1,6] => [5,4,3,8,2,7,1,6] => 0011011
[7,3,8,5,1,4,2,6] => [5,4,8,3,7,2,1,6] => [7,3,4,2,8,5,1,6] => 0011011
[5,4,8,7,6,2,1,3] => [2,6,1,5,4,7,8,3] => [5,4,8,7,6,2,1,3] => 1001111
[1,5,4,8,3,7,6,2] => [1,6,7,5,4,8,2,3] => [1,5,4,8,2,7,6,3] => 0001111
[4,8,3,6,7,1,5,2] => [7,5,8,4,1,3,6,2] => [4,8,1,5,3,6,7,2] => 0001011
[8,7,5,3,6,4,2,1] => [2,4,6,5,7,1,8,3] => [8,7,5,2,1,6,4,3] => 1011111
[6,8,2,1,7,4,5,3] => [2,8,5,7,4,6,1,3] => [6,7,4,5,2,1,8,3] => 1001011
[3,1,2,7,5,6,8,4] => [3,1,2,8,7,5,6,4] => [3,1,2,7,5,6,8,4] => 0100011
[3,6,1,2,7,5,8,4] => [6,1,3,8,7,2,5,4] => [3,7,1,2,8,5,6,4] => 0000111
[4,7,2,6,3,8,1,5] => [8,7,6,4,1,2,3,5] => [4,6,1,7,2,8,3,5] => 0000111
[6,3,2,4,8,7,5,1] => [5,3,7,1,6,4,8,2] => [6,3,1,4,8,7,5,2] => 0101111
[3,7,2,4,6,1,8,5] => [6,7,3,2,8,4,1,5] => [3,8,2,4,7,1,6,5] => 0000111
[5,3,7,2,8,1,4,6] => [8,7,5,1,3,4,2,6] => [5,1,7,3,4,8,2,6] => 0001011
[6,3,2,8,7,5,1,4] => [5,3,7,2,6,1,8,4] => [6,3,2,8,7,5,1,4] => 0101111
[6,2,1,3,8,7,5,4] => [2,6,1,5,7,3,8,4] => [8,7,5,2,1,3,6,4] => 1001111
[3,6,1,8,7,5,2,4] => [6,5,3,2,7,1,8,4] => [3,8,7,5,2,6,1,4] => 0001111
[7,8,5,1,6,2,4,3] => [5,8,4,1,6,2,7,3] => [4,1,6,2,7,8,5,3] => 0011101
[11,9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,11,1,10] => [11,9,8,7,6,5,4,3,2,1,10] => 1111111101
[10,7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,10,9,1,8] => [9,7,6,5,4,3,2,1,10,8] => 111111011
[9,7,5,4,3,2,1,8,6] => [2,3,4,5,7,9,8,6,1] => [8,6,9,7,5,4,3,2,1] => 11110111
[8,5,4,3,7,2,1,6] => [2,7,4,5,8,1,3,6] => [8,5,4,2,1,7,3,6] => 1011011
[7,6,4,3,2,8,5,1] => [5,3,4,8,6,7,1,2] => [7,6,4,3,1,8,5,2] => 0111111
[10,9,8,7,6,5,4,3,2,11,1] => [11,3,4,5,6,7,8,9,10,2,1] => [10,9,8,7,6,5,4,3,2,11,1] => 0111111111
[7,3,1,4,8,2,5,6] => [3,7,8,2,1,5,4,6] => [8,2,5,7,3,1,4,6] => 0100011
[7,4,1,2,5,8,3,6] => [4,1,7,8,3,2,5,6] => [8,3,7,4,1,2,5,6] => 0010011
[5,7,2,4,6,8,1,3] => [8,7,1,2,5,4,6,3] => [5,7,1,4,6,8,2,3] => 0000011
[5,7,4,6,3,1,8,2] => [3,6,8,7,5,4,2,1] => [5,7,4,8,2,6,3,1] => 0100111
[7,5,1,4,3,2,8,6] => [5,3,4,1,7,8,2,6] => [4,3,1,8,5,2,7,6] => 0111011
[8,6,4,2,3,7,5,1] => [5,4,1,7,6,8,3,2] => [8,6,4,1,3,7,5,2] => 0011111
[5,4,6,8,3,1,2,7] => [3,1,8,5,4,6,2,7] => [5,4,6,8,3,1,2,7] => 0101001
[4,6,1,3,8,5,2,7] => [6,5,1,4,8,3,2,7] => [4,8,5,1,3,6,2,7] => 0001101
[1,3,8,4,5,7,2,6] => [1,7,3,8,4,2,5,6] => [1,3,8,4,7,2,5,6] => 0000011
[2,6,7,4,5,3,1,8] => [3,2,5,7,4,6,1,8] => [2,6,7,4,5,3,1,8] => 0101010
[1,3,7,4,2,8,5,6] => [1,4,3,7,8,5,2,6] => [1,3,8,5,7,4,2,6] => 0010011
[4,6,1,3,7,2,5,8] => [6,7,1,4,2,3,5,8] => [4,7,1,6,2,3,5,8] => 0000110
[7,5,8,6,2,1,3,4] => [2,6,1,3,8,7,4,5] => [7,2,1,3,4,8,6,5] => 1000111
[3,4,2,6,8,7,1,5] => [7,4,3,2,1,6,8,5] => [3,4,2,6,8,7,1,5] => 0010011
[8,4,2,3,6,5,7,1] => [7,4,2,8,6,3,5,1] => [6,4,2,3,8,5,7,1] => 0010111
[2,7,8,3,4,5,1,6] => [5,2,8,3,4,1,7,6] => [2,7,8,3,4,5,1,6] => 0001001
[7,5,6,8,2,1,4,3] => [2,8,4,1,7,5,6,3] => [4,2,1,7,5,6,8,3] => 1010011
[3,1,6,5,2,7,4,8] => [3,5,1,6,7,4,2,8] => [7,4,6,5,1,3,2,8] => 0101110
[3,4,6,2,8,5,7,1] => [7,6,3,4,8,2,5,1] => [3,4,8,2,6,5,7,1] => 0000111
[4,3,7,1,6,8,5,2] => [7,5,4,3,8,1,6,2] => [4,3,8,5,1,6,7,2] => 0011011
[3,2,4,8,6,7,1,5] => [7,3,2,4,1,8,6,5] => [3,2,4,8,6,7,1,5] => 0100011
[4,1,6,7,5,8,2,3] => [4,8,2,1,7,6,5,3] => [6,7,5,8,2,4,1,3] => 0010011
[4,3,7,1,6,8,2,5] => [7,8,4,3,2,1,6,5] => [4,3,8,2,6,7,1,5] => 0010011
[4,3,7,5,6,8,2,1] => [2,8,4,3,7,5,6,1] => [4,3,7,5,6,8,2,1] => 1010011
[4,1,7,3,6,5,2,8] => [4,5,6,1,7,2,3,8] => [7,1,6,5,2,4,3,8] => 0011110
[2,8,7,4,5,3,1,6] => [3,2,5,7,4,1,8,6] => [2,8,7,4,5,3,1,6] => 0101011
[3,8,1,4,2,6,5,7] => [8,4,3,1,6,2,5,7] => [3,4,1,6,2,8,5,7] => 0010101
[5,8,7,6,1,2,4,3] => [6,1,4,2,5,7,8,3] => [4,1,2,5,8,7,6,3] => 0010111
[4,1,7,2,6,8,5,3] => [4,7,5,1,8,2,6,3] => [8,5,1,6,7,2,4,3] => 0011011
[4,2,7,3,6,1,8,5] => [6,4,7,2,8,3,1,5] => [8,2,4,3,7,1,6,5] => 0010111
[4,2,7,3,6,5,8,1] => [8,4,7,2,6,3,5,1] => [6,2,4,3,7,5,8,1] => 0010111
[3,8,2,4,5,6,7,1] => [7,8,3,2,4,5,6,1] => [3,8,2,4,5,6,7,1] => 0000011
[2,8,6,5,3,7,1,4] => [7,2,5,1,6,8,3,4] => [2,8,6,5,1,7,3,4] => 0001111
[3,8,6,5,1,4,7,2] => [5,6,3,1,8,7,4,2] => [3,7,1,4,8,6,5,2] => 0001111
[3,8,2,5,4,6,7,1] => [7,8,3,5,2,4,6,1] => [3,5,2,8,4,6,7,1] => 0001011
[4,2,7,5,6,3,8,1] => [8,4,6,2,7,5,3,1] => [7,5,6,2,4,3,8,1] => 0010111
[4,2,7,5,6,1,8,3] => [6,4,8,2,7,5,1,3] => [7,5,8,2,4,1,6,3] => 0010111
[3,2,6,1,4,5,8,7] => [6,3,2,1,4,5,8,7] => [3,2,6,1,4,5,8,7] => 0100101
[2,8,7,3,4,5,1,6] => [5,2,7,3,4,1,8,6] => [2,8,7,3,4,5,1,6] => 0001011
[2,8,7,5,3,4,1,6] => [4,2,5,3,7,1,8,6] => [2,8,7,5,3,4,1,6] => 0011011
[4,1,7,5,6,3,2,8] => [4,3,6,1,7,5,2,8] => [7,5,6,3,1,4,2,8] => 0110110
[5,8,7,6,4,1,2,3] => [4,1,2,6,5,7,8,3] => [5,8,7,6,4,1,2,3] => 0010111
[5,4,2,3,7,6,8,1] => [8,4,2,5,3,7,6,1] => [5,4,2,3,7,6,8,1] => 0011011
[8,4,7,2,5,1,6,3] => [5,7,6,8,2,1,4,3] => [8,2,6,1,7,4,5,3] => 0001111
[5,1,7,2,4,6,8,3] => [5,7,8,2,1,4,6,3] => [8,2,6,7,1,4,5,3] => 0001011
[4,5,7,1,2,6,8,3] => [7,1,8,4,5,2,6,3] => [4,5,8,1,2,6,7,3] => 0000011
[5,4,1,7,3,6,8,2] => [4,5,8,7,2,1,6,3] => [7,2,6,8,1,5,4,3] => 0011011
[3,6,4,7,5,2,8,1] => [8,5,3,7,6,2,4,1] => [3,6,2,7,5,4,8,1] => 0001111
[5,7,6,4,3,1,8,2] => [3,4,6,7,5,8,2,1] => [5,8,2,7,6,4,3,1] => 0110111
[6,7,1,3,8,4,2,5] => [7,4,1,8,2,6,3,5] => [6,8,4,1,7,2,3,5] => 0010011
[3,2,8,6,7,1,4,5] => [7,3,2,1,4,8,6,5] => [3,2,8,6,7,1,4,5] => 0100011
[1,8,6,5,4,2,3,7] => [1,4,2,5,6,8,3,7] => [1,8,6,5,4,2,3,7] => 0011101
[1,8,7,2,3,5,4,6] => [1,7,2,5,3,4,8,6] => [1,5,2,3,8,7,4,6] => 0001011
[7,5,6,1,2,8,4,3] => [6,1,4,8,7,5,2,3] => [7,5,8,4,1,2,6,3] => 0010111
[5,1,4,3,6,8,7,2] => [5,7,4,1,3,6,8,2] => [4,1,6,8,7,3,5,2] => 0011011
[4,5,7,6,8,2,1,3] => [2,8,1,4,5,7,6,3] => [4,5,7,6,8,2,1,3] => 1000011
[5,7,6,8,4,2,1,3] => [2,4,1,8,5,7,6,3] => [5,7,6,8,4,2,1,3] => 1010011
[5,1,6,8,4,2,7,3] => [5,4,8,7,1,6,3,2] => [6,7,1,8,4,3,5,2] => 0011011
[7,6,8,3,2,5,4,1] => [4,3,5,8,1,7,6,2] => [7,6,8,3,1,5,4,2] => 0111011
[8,7,1,3,5,4,6,2] => [7,6,1,5,3,4,8,2] => [5,1,3,6,4,8,7,2] => 0001111
[7,6,8,3,1,4,5,2] => [3,8,5,2,4,7,6,1] => [5,2,4,7,6,8,3,1] => 0101011
[5,8,2,6,3,1,4,7] => [3,6,8,2,5,1,4,7] => [5,8,2,6,3,1,4,7] => 0100101
[6,8,2,3,7,4,1,5] => [4,7,1,8,2,6,3,5] => [6,8,1,7,4,2,3,5] => 0010011
[8,1,3,6,2,5,4,7] => [8,6,1,5,2,3,4,7] => [5,1,6,2,3,8,4,7] => 0001101
[2,7,1,6,3,5,4,8] => [7,2,6,5,3,1,4,8] => [2,5,3,6,1,7,4,8] => 0001110
[8,1,3,5,4,2,6,7] => [8,4,1,5,3,2,6,7] => [5,4,1,3,8,2,6,7] => 0011001
[8,1,5,6,2,3,7,4] => [8,6,2,7,1,5,3,4] => [7,2,5,6,1,3,8,4] => 0000111
[8,1,4,3,5,2,6,7] => [8,5,4,1,3,2,6,7] => [4,1,5,3,8,2,6,7] => 0011001
[7,3,1,6,2,5,4,8] => [3,7,6,5,1,2,4,8] => [5,1,6,3,2,7,4,8] => 0101110
[3,7,1,4,5,2,6,8] => [7,5,3,1,4,2,6,8] => [3,5,1,4,7,2,6,8] => 0001010
[3,5,2,4,1,6,7,8] => [4,5,3,2,1,6,7,8] => [3,5,2,4,1,6,7,8] => 0011000
[6,2,4,1,5,3,7,8] => [4,6,5,2,1,3,7,8] => [5,2,6,1,4,3,7,8] => 0011100
[5,2,6,1,3,7,4,8] => [6,5,1,7,2,3,4,8] => [7,1,5,2,3,6,4,8] => 0001110
[4,7,1,5,3,2,6,8] => [7,3,5,4,1,2,6,8] => [4,5,3,1,7,2,6,8] => 0101010
[5,7,1,4,2,6,3,8] => [7,4,6,1,5,2,3,8] => [5,6,1,4,2,7,3,8] => 0010110
[5,7,1,6,2,3,8,4] => [7,6,2,8,5,1,3,4] => [5,8,2,6,1,3,7,4] => 0000111
[5,6,3,1,2,7,4,8] => [3,1,6,7,5,2,4,8] => [5,7,3,1,2,6,4,8] => 0100110
[5,3,6,1,2,7,4,8] => [6,1,5,7,3,2,4,8] => [7,3,5,1,2,6,4,8] => 0001110
[6,5,1,8,7,3,4,2] => [5,4,6,1,7,3,8,2] => [8,7,1,4,3,6,5,2] => 0011111
[6,8,5,2,3,4,1,7] => [4,5,2,3,8,6,1,7] => [6,8,5,2,3,4,1,7] => 0011001
[8,5,6,2,7,1,4,3] => [7,6,4,1,8,5,2,3] => [4,1,8,5,6,2,7,3] => 0010111
[5,7,6,4,1,3,8,2] => [4,6,1,7,5,8,3,2] => [5,8,1,3,7,6,4,2] => 0010111
[6,1,7,5,3,8,4,2] => [6,4,8,5,7,1,2,3] => [7,5,1,8,4,2,6,3] => 0011111
[8,6,7,5,3,1,4,2] => [3,5,4,2,7,8,6,1] => [4,2,8,6,7,5,3,1] => 0111011
[8,5,2,7,1,6,4,3] => [7,5,4,8,6,1,3,2] => [6,4,1,8,5,3,7,2] => 0011111
[3,4,6,1,7,8,5,2] => [6,5,3,4,8,1,7,2] => [3,4,7,8,5,1,6,2] => 0001101
[3,4,8,6,7,1,5,2] => [7,5,3,4,1,8,6,2] => [3,4,5,1,8,6,7,2] => 0001011
[5,8,1,7,2,6,4,3] => [8,7,4,6,5,2,1,3] => [5,6,4,2,7,1,8,3] => 0010111
[8,1,7,2,5,6,3,4] => [8,7,6,3,2,5,1,4] => [6,3,5,7,2,8,1,4] => 0000111
[4,8,1,5,2,6,7,3] => [8,5,7,4,1,2,6,3] => [4,7,1,5,2,6,8,3] => 0001011
[3,7,8,5,1,6,2,4] => [5,8,3,1,6,2,7,4] => [3,6,1,7,8,5,2,4] => 0001101
[6,5,2,7,8,1,4,3] => [8,5,4,1,6,2,7,3] => [4,1,6,5,2,7,8,3] => 0011101
[8,7,2,1,5,6,3,4] => [2,7,6,3,1,5,8,4] => [6,3,5,8,7,2,1,4] => 1000111
[7,5,6,2,1,8,4,3] => [2,6,4,8,7,5,1,3] => [7,5,8,4,2,1,6,3] => 1010111
[7,1,3,5,8,6,2,4] => [7,6,1,2,3,8,5,4] => [8,6,1,5,7,2,3,4] => 0000111
[5,1,3,4,6,8,7,2] => [5,7,1,3,4,6,8,2] => [6,8,7,1,3,4,5,2] => 0001011
[4,5,3,6,8,2,7,1] => [7,8,5,4,3,6,2,1] => [4,5,3,6,8,2,7,1] => 0001011
[5,6,3,4,8,1,7,2] => [8,7,6,3,5,4,1,2] => [5,6,3,4,7,1,8,2] => 0000111
[4,6,7,8,5,1,3,2] => [5,3,1,4,8,6,7,2] => [3,1,4,6,7,8,5,2] => 0101001
[4,6,8,1,5,3,7,2] => [8,7,5,4,1,6,3,2] => [4,5,1,6,7,3,8,2] => 0001011
[3,6,4,8,7,1,5,2] => [7,5,3,6,1,4,8,2] => [3,6,1,5,4,8,7,2] => 0001111
[6,5,8,1,3,4,7,2] => [8,7,1,3,6,5,4,2] => [6,5,7,1,3,4,8,2] => 0000111
[5,6,8,3,1,2,7,4] => [3,1,8,7,5,6,2,4] => [5,6,7,3,1,2,8,4] => 0100011
[6,1,8,3,5,2,7,4] => [6,5,8,7,3,1,2,4] => [7,3,8,1,5,2,6,4] => 0001111
[7,6,8,3,5,2,1,4] => [2,5,8,1,3,7,6,4] => [7,6,8,2,1,5,3,4] => 1001011
[8,6,1,3,5,2,7,4] => [6,5,1,8,4,7,2,3] => [7,4,5,1,8,6,2,3] => 0001111
[6,7,8,3,5,1,2,4] => [5,1,8,2,3,6,7,4] => [6,7,8,1,2,5,3,4] => 0001001
[7,8,2,3,5,6,1,4] => [6,8,2,1,3,5,7,4] => [7,8,2,5,6,1,3,4] => 0000101
[2,7,8,6,1,4,3,5] => [6,2,4,1,3,8,7,5] => [2,4,1,7,8,6,3,5] => 0010101
[2,6,5,4,1,3,8,7] => [4,2,1,5,6,3,8,7] => [2,6,5,4,1,3,8,7] => 0011101
[4,8,2,5,7,6,3,1] => [3,6,7,4,2,8,5,1] => [4,8,2,5,7,6,3,1] => 0100111
[2,6,5,3,4,1,8,7] => [4,2,5,3,6,1,8,7] => [2,6,5,3,4,1,8,7] => 0011101
[4,6,1,5,2,3,8,7] => [6,5,2,4,1,3,8,7] => [4,5,2,6,1,3,8,7] => 0001101
[6,2,3,5,1,4,8,7] => [5,6,2,1,3,4,8,7] => [6,2,5,1,3,4,8,7] => 0001101
[2,6,7,5,1,8,4,3] => [5,2,4,7,8,6,3,1] => [2,6,8,4,3,7,5,1] => 0011011
[8,6,1,2,5,3,4,7] => [6,1,5,3,2,8,4,7] => [5,3,8,6,1,2,4,7] => 0001101
[6,2,5,1,8,3,4,7] => [5,6,8,3,2,1,4,7] => [8,3,6,2,5,1,4,7] => 0001101
[7,6,5,2,8,3,4,1] => [4,5,6,3,7,8,2,1] => [8,3,7,6,5,2,4,1] => 0011111
[2,1,4,8,7,6,3,5] => [2,1,6,4,3,7,8,5] => [2,1,4,8,7,6,3,5] => 1000111
[8,1,3,5,7,4,6,2] => [8,6,1,7,3,4,5,2] => [7,1,3,6,4,5,8,2] => 0000111
[3,2,8,7,5,1,6,4] => [5,3,2,7,6,4,8,1] => [3,2,6,4,8,7,5,1] => 0101111
[4,8,5,1,6,7,2,3] => [5,8,1,4,7,2,6,3] => [4,7,1,6,8,5,2,3] => 0001011
[7,8,6,1,3,5,2,4] => [6,5,1,2,3,8,7,4] => [5,1,7,8,6,2,3,4] => 0001101
[5,6,7,2,8,1,3,4] => [8,7,1,3,5,6,2,4] => [5,6,7,1,3,8,2,4] => 0000011
[5,2,3,8,6,7,4,1] => [4,7,1,5,3,8,6,2] => [5,1,3,8,6,7,4,2] => 0011011
[6,2,1,5,3,8,7,4] => [2,6,5,7,1,3,8,4] => [8,7,2,1,5,3,6,4] => 1001111
[5,6,3,2,8,1,4,7] => [8,3,6,1,5,2,4,7] => [5,6,3,1,8,2,4,7] => 0100101
[8,7,6,2,5,3,1,4] => [3,5,6,2,1,7,8,4] => [8,7,6,2,5,3,1,4] => 0101111
[4,7,6,8,3,2,5,1] => [5,3,8,4,2,7,6,1] => [4,7,6,8,3,2,5,1] => 0101011
[7,6,2,8,5,1,4,3] => [5,8,4,2,6,7,1,3] => [4,2,7,6,1,8,5,3] => 0011111
[8,1,3,7,5,2,6,4] => [8,5,1,7,6,4,3,2] => [6,4,7,5,1,3,8,2] => 0001111
[3,4,8,7,5,1,6,2] => [5,7,3,4,6,2,8,1] => [3,4,6,2,8,7,5,1] => 0001111
[6,3,8,5,7,4,1,2] => [4,1,7,6,8,2,5,3] => [8,1,2,6,5,7,4,3] => 0010111
[2,1,4,8,7,5,6,3] => [2,1,6,4,7,5,8,3] => [2,1,4,8,7,5,6,3] => 1000111
[3,6,8,2,4,1,7,5] => [4,8,3,2,7,6,1,5] => [3,6,7,2,4,1,8,5] => 0010011
[4,5,8,2,6,7,3,1] => [3,7,8,4,5,1,6,2] => [4,5,8,1,6,7,3,2] => 0100011
[5,2,8,1,6,7,3,4] => [8,5,7,3,2,1,6,4] => [7,3,5,2,6,8,1,4] => 0001011
[3,4,8,7,2,1,5,6] => [2,7,3,4,1,5,8,6] => [3,4,8,7,2,1,5,6] => 1000011
[7,8,5,3,6,4,2,1] => [2,4,6,5,8,1,7,3] => [7,8,5,2,1,6,4,3] => 1011101
[2,8,5,7,4,1,3,6] => [4,2,1,7,8,3,5,6] => [2,8,4,1,3,7,5,6] => 0010011
[3,8,1,4,6,7,2,5] => [8,7,3,1,2,4,6,5] => [3,7,1,6,8,2,4,5] => 0000011
[6,2,7,3,8,4,1,5] => [4,8,6,7,2,3,1,5] => [7,2,6,3,8,4,1,5] => 0010111
[8,4,2,6,5,3,1,7] => [3,5,4,6,8,2,1,7] => [8,4,2,6,5,3,1,7] => 0111101
[7,4,2,5,3,1,6,8] => [3,5,4,7,1,2,6,8] => [7,4,1,5,3,2,6,8] => 0111010
[8,3,6,2,5,4,1,7] => [4,5,6,8,3,1,2,7] => [8,3,6,1,5,4,2,7] => 0011101
[5,8,3,6,4,2,1,7] => [2,4,6,8,5,1,3,7] => [5,8,2,1,6,4,3,7] => 1010101
[4,8,6,2,5,3,1,7] => [3,5,6,4,1,8,2,7] => [4,8,6,1,5,3,2,7] => 0101101
[1,6,4,3,2,8,7,5] => [1,3,4,6,7,2,8,5] => [1,8,7,4,3,2,6,5] => 0110111
[1,5,3,2,8,4,7,6] => [1,3,5,8,2,7,4,6] => [1,7,3,2,5,4,8,6] => 0101011
[6,1,2,7,3,8,5,4] => [6,1,7,5,8,2,3,4] => [8,5,1,2,7,3,6,4] => 0001111
[1,8,4,2,7,6,5,3] => [1,4,8,5,6,7,3,2] => [1,7,6,5,3,8,4,2] => 0011111
[2,1,6,8,5,4,7,3] => [2,1,7,5,8,6,4,3] => [2,1,6,8,5,4,7,3] => 1001011
[8,3,1,6,7,2,5,4] => [3,8,7,5,1,2,6,4] => [5,1,7,3,2,6,8,4] => 0101011
[4,7,6,1,2,5,3,8] => [6,1,5,4,2,7,3,8] => [4,5,1,2,7,6,3,8] => 0001110
[7,3,6,1,2,5,4,8] => [6,1,7,5,2,3,4,8] => [5,1,2,7,3,6,4,8] => 0001110
[5,4,7,1,3,2,6,8] => [7,3,1,5,4,2,6,8] => [3,1,5,4,7,2,6,8] => 0101010
[5,7,4,8,2,1,3,6] => [2,8,1,7,5,3,4,6] => [5,7,2,1,3,8,4,6] => 1000011
[7,4,6,2,1,5,3,8] => [2,6,5,7,1,4,3,8] => [7,2,1,5,4,6,3,8] => 1001110
[1,5,2,6,8,4,7,3] => [1,5,7,8,2,6,4,3] => [1,6,8,2,7,4,5,3] => 0001011
[5,7,2,3,8,1,4,6] => [8,7,2,1,5,4,3,6] => [5,7,2,4,8,1,3,6] => 0000011
[6,4,7,5,8,1,2,3] => [8,1,2,6,7,4,5,3] => [7,4,6,5,8,1,2,3] => 0000111
[7,4,8,5,1,6,3,2] => [5,3,8,6,7,2,1,4] => [7,3,2,6,1,8,5,4] => 0101111
[5,8,3,6,1,7,4,2] => [6,4,7,8,5,2,1,3] => [5,8,2,7,4,1,6,3] => 0010111
[8,6,4,2,1,7,5,3] => [2,4,6,5,8,7,1,3] => [7,5,2,1,8,6,4,3] => 1011111
[6,3,1,2,8,4,7,5] => [3,1,6,8,7,2,4,5] => [7,3,1,2,8,4,6,5] => 0100111
[6,8,4,1,2,7,5,3] => [4,1,8,5,7,6,3,2] => [6,7,5,3,8,4,1,2] => 0011011
[7,5,8,1,2,6,4,3] => [8,1,4,6,7,2,5,3] => [7,4,1,2,6,5,8,3] => 0010111
[1,3,8,7,6,2,5,4] => [1,6,3,5,2,7,8,4] => [1,3,5,2,8,7,6,4] => 0001111
[4,6,1,8,3,7,2,5] => [6,7,8,4,2,1,3,5] => [4,8,2,7,1,6,3,5] => 0000111
[8,6,1,7,5,4,3,2] => [6,3,4,5,8,7,2,1] => [7,5,4,3,2,8,6,1] => 0111111
[3,1,8,7,6,5,2,4] => [3,5,1,2,6,7,8,4] => [8,7,6,5,1,3,2,4] => 0101111
[1,6,4,5,2,3,7,8] => [1,5,2,6,4,3,7,8] => [1,6,4,5,2,3,7,8] => 0001100
[1,7,4,5,2,3,6,8] => [1,5,2,7,4,3,6,8] => [1,7,4,5,2,3,6,8] => 0001010
[1,7,3,5,2,4,6,8] => [1,5,7,2,3,4,6,8] => [1,7,2,5,3,4,6,8] => 0001010
[1,6,3,5,2,4,7,8] => [1,5,6,2,3,4,7,8] => [1,6,2,5,3,4,7,8] => 0001100
[1,7,3,4,2,5,6,8] => [1,4,7,3,2,5,6,8] => [1,7,3,4,2,5,6,8] => 0010010
[1,8,6,7,3,4,2,5] => [1,4,7,3,2,8,6,5] => [1,8,6,7,3,4,2,5] => 0010011
[1,8,5,7,3,4,2,6] => [1,4,7,3,8,2,5,6] => [1,8,3,4,2,7,5,6] => 0010011
[1,7,3,4,2,6,5,8] => [1,4,7,3,6,2,5,8] => [1,6,3,4,2,7,5,8] => 0010110
[1,5,2,8,4,7,3,6] => [1,5,7,8,2,3,4,6] => [1,8,2,7,3,5,4,6] => 0001011
[1,4,2,8,5,7,3,6] => [1,4,7,2,8,3,5,6] => [1,8,2,4,3,7,5,6] => 0010011
[1,7,3,5,2,6,4,8] => [1,5,7,6,3,2,4,8] => [1,6,3,7,2,5,4,8] => 0001110
[1,8,4,7,3,5,2,6] => [1,5,7,8,3,2,4,6] => [1,8,3,7,2,5,4,6] => 0001011
[1,7,3,6,2,4,5,8] => [1,6,7,2,4,3,5,8] => [1,7,2,4,6,3,5,8] => 0000110
[1,7,4,6,2,3,5,8] => [1,6,2,7,3,4,5,8] => [1,7,2,3,6,4,5,8] => 0000110
[1,8,5,6,2,3,4,7] => [1,6,2,3,8,5,4,7] => [1,8,5,6,2,3,4,7] => 0000101
[1,8,5,6,2,4,3,7] => [1,6,4,2,8,5,3,7] => [1,4,2,8,5,6,3,7] => 0010101
[1,3,2,8,5,6,4,7] => [1,3,2,6,8,5,4,7] => [1,3,2,8,5,6,4,7] => 0100101
[1,4,2,8,5,6,3,7] => [1,4,6,2,8,5,3,7] => [1,8,5,6,2,4,3,7] => 0010101
[9,1,2,3,5,4,6,7,8] => [9,1,2,5,3,4,6,7,8] => [5,1,2,3,9,4,6,7,8] => 00010001
[3,4,5,6,7,8,9,10,11,12,1,2] => [12,1,3,4,5,6,7,8,9,10,11,2] => [3,4,5,6,7,8,9,10,11,12,1,2] => 00000000001
[1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => 00000000000
[8,6,4,7,2,1,3,5] => [2,7,1,6,3,8,4,5] => [8,6,2,1,3,7,4,5] => 1000111
[1,6,4,7,2,8,3,5] => [1,7,8,6,3,4,2,5] => [1,6,3,8,4,7,2,5] => 0000111
[1,4,7,3,5,8,2,6] => [1,8,7,4,3,2,5,6] => [1,4,7,3,8,2,5,6] => 0000011
[5,4,8,2,3,6,1,7] => [6,8,2,5,4,3,1,7] => [5,4,8,2,3,6,1,7] => 0001101
[4,8,6,2,3,5,1,7] => [5,6,2,4,3,8,1,7] => [4,8,6,2,3,5,1,7] => 0001101
[1,7,6,4,8,2,3,5] => [1,8,2,6,3,7,4,5] => [1,7,6,2,3,8,4,5] => 0000111
[1,8,5,7,2,3,4,6] => [1,7,2,3,8,4,5,6] => [1,8,2,3,4,7,5,6] => 0000011
[6,1,5,8,2,3,4,7] => [6,8,2,3,1,5,4,7] => [8,2,3,5,6,1,4,7] => 0000101
[5,1,7,3,8,2,4,6] => [5,8,7,2,1,4,3,6] => [7,2,8,1,4,5,3,6] => 0001011
[6,1,5,7,8,2,3,4] => [6,8,2,3,1,5,7,4] => [7,8,2,3,5,6,1,4] => 0000101
[3,8,7,5,1,2,4,6] => [5,1,3,2,7,4,8,6] => [3,8,7,5,1,2,4,6] => 0001011
[1,6,5,8,2,3,4,7] => [1,8,2,3,6,5,4,7] => [1,6,5,8,2,3,4,7] => 0000101
[8,5,7,4,1,2,3,6] => [4,1,2,7,8,3,5,6] => [8,4,1,2,3,7,5,6] => 0010011
[1,5,7,4,8,2,3,6] => [1,8,2,7,5,3,4,6] => [1,5,7,2,3,8,4,6] => 0000011
[7,4,8,5,1,6,2,3] => [5,8,1,6,7,2,3,4] => [7,1,6,2,3,8,5,4] => 0001111
[8,6,4,1,2,7,3,5] => [4,1,6,8,3,7,2,5] => [7,3,8,6,4,1,2,5] => 0010111
[1,7,2,8,6,3,4,5] => [1,7,6,3,4,8,2,5] => [1,8,6,3,4,7,2,5] => 0000111
[5,4,1,8,2,3,6,7] => [4,5,1,8,2,3,6,7] => [8,1,5,4,2,3,6,7] => 0011001
[1,4,8,7,2,3,5,6] => [1,7,2,4,3,5,8,6] => [1,4,8,7,2,3,5,6] => 0000011
[1,5,8,7,2,3,4,6] => [1,7,2,3,5,4,8,6] => [1,5,8,7,2,3,4,6] => 0000011
[5,7,1,3,8,2,4,6] => [7,8,1,2,5,4,3,6] => [5,8,1,4,7,2,3,6] => 0000011
[6,1,8,2,7,3,4,5] => [6,8,7,3,4,1,2,5] => [7,3,4,8,1,6,2,5] => 0000111
[4,1,8,7,2,3,5,6] => [4,7,2,1,3,5,8,6] => [8,7,2,4,1,3,5,6] => 0010011
[5,1,8,7,2,3,4,6] => [5,7,2,3,1,4,8,6] => [8,7,2,3,5,1,4,6] => 0001011
[1,8,7,6,4,5,3,2] => [1,3,5,6,4,7,8,2] => [1,8,7,6,4,5,3,2] => 0101111
[1,8,7,3,6,5,4,2] => [1,4,5,6,7,3,8,2] => [1,8,7,3,6,5,4,2] => 0011111
[7,1,5,8,3,4,2,6] => [7,4,8,3,1,2,5,6] => [8,3,4,1,7,2,5,6] => 0010011
[2,4,1,7,5,8,3,6] => [4,2,8,1,7,3,5,6] => [2,7,1,4,3,8,5,6] => 0010011
[7,1,4,6,5,2,8,3] => [7,5,6,1,8,4,3,2] => [8,1,4,6,5,3,7,2] => 0001111
[7,1,4,6,5,3,2,8] => [7,3,5,1,6,4,2,8] => [6,5,3,1,4,7,2,8] => 0101110
[3,4,7,2,6,8,5,1] => [5,8,3,4,7,1,6,2] => [3,4,7,1,6,8,5,2] => 0001011
[3,4,7,1,6,8,2,5] => [7,8,3,4,2,1,6,5] => [3,4,8,2,6,7,1,5] => 0000011
[3,4,7,1,6,8,5,2] => [7,5,3,4,8,1,6,2] => [3,4,8,5,1,6,7,2] => 0001011
[3,4,1,7,8,6,2,5] => [4,6,3,1,2,8,7,5] => [3,7,8,6,1,4,2,5] => 0010101
[6,4,2,7,5,3,1,8] => [3,5,4,7,6,2,1,8] => [6,4,2,7,5,3,1,8] => 0111110
[3,4,7,2,6,8,1,5] => [8,7,3,4,1,2,6,5] => [3,4,7,1,6,8,2,5] => 0000011
[4,8,7,1,3,5,2,6] => [7,5,1,4,3,2,8,6] => [4,5,1,3,8,7,2,6] => 0001011
[3,4,7,1,6,2,5,8] => [7,6,3,4,2,1,5,8] => [3,4,6,2,7,1,5,8] => 0000110
[4,8,3,1,2,6,7,5] => [3,1,8,4,7,2,6,5] => [4,7,3,1,2,6,8,5] => 0100011
[6,8,5,1,3,7,2,4] => [5,8,2,1,7,6,3,4] => [6,7,2,8,5,1,3,4] => 0001011
[6,8,5,1,3,4,7,2] => [5,8,2,3,7,6,4,1] => [6,7,2,3,4,8,5,1] => 0001011
[5,8,3,4,2,6,7,1] => [7,4,8,3,5,2,6,1] => [5,8,3,4,2,6,7,1] => 0010011
[5,4,7,3,6,2,8,1] => [8,6,7,5,4,3,2,1] => [5,4,7,3,6,2,8,1] => 0001111
[5,4,7,2,6,1,8,3] => [6,7,8,5,4,2,1,3] => [5,4,8,2,7,1,6,3] => 0001111
[5,8,7,4,3,1,2,6] => [3,1,4,7,5,2,8,6] => [5,8,7,4,3,1,2,6] => 0110011
[5,4,7,3,6,2,1,8] => [2,6,7,5,4,3,1,8] => [5,4,7,3,6,2,1,8] => 1001110
[7,3,8,2,1,6,5,4] => [2,8,7,5,6,1,3,4] => [6,5,2,1,7,3,8,4] => 1001111
[6,5,2,8,4,3,1,7] => [3,4,8,5,6,2,1,7] => [6,5,2,8,4,3,1,7] => 0111101
[4,3,8,7,5,1,6,2] => [5,7,4,3,6,2,8,1] => [4,3,6,2,8,7,5,1] => 0011111
[3,2,5,8,6,1,4,7] => [6,3,2,1,5,8,4,7] => [3,2,5,8,6,1,4,7] => 0100101
[8,4,3,7,5,2,6,1] => [6,5,4,7,8,3,2,1] => [8,4,3,7,5,2,6,1] => 0011111
[4,3,7,8,5,1,2,6] => [5,1,4,3,8,2,7,6] => [4,3,7,8,5,1,2,6] => 0011001
[5,3,7,8,4,1,2,6] => [4,1,8,5,2,3,7,6] => [5,1,2,7,8,4,3,6] => 0011001
[6,2,4,8,3,1,5,7] => [3,8,6,1,2,4,5,7] => [6,1,8,3,2,4,5,7] => 0100101
[5,3,8,7,4,1,6,2] => [4,7,6,5,1,2,8,3] => [5,1,6,2,8,7,4,3] => 0011111
[5,3,2,8,6,4,1,7] => [4,3,6,5,1,8,2,7] => [5,3,1,8,6,4,2,7] => 0111101
[7,5,3,8,4,2,1,6] => [2,4,8,5,7,3,1,6] => [7,5,3,8,4,2,1,6] => 1011011
[8,7,5,3,6,2,4,1] => [4,6,5,2,7,3,8,1] => [8,7,5,2,6,3,4,1] => 0011111
[6,4,5,3,8,2,7,1] => [7,8,5,6,4,3,2,1] => [6,4,5,3,8,2,7,1] => 0001111
[7,5,6,3,8,2,4,1] => [4,8,6,2,7,5,3,1] => [7,5,6,2,8,3,4,1] => 0010111
[8,5,7,3,4,2,6,1] => [6,4,7,3,8,2,5,1] => [8,3,4,2,7,5,6,1] => 0010111
[7,5,8,4,3,2,6,1] => [6,3,4,8,7,2,5,1] => [7,4,3,2,8,5,6,1] => 0110111
[6,5,8,3,4,2,7,1] => [7,4,8,3,6,5,2,1] => [6,5,8,3,4,2,7,1] => 0010111
[7,5,8,3,4,2,6,1] => [6,4,8,3,7,2,5,1] => [7,3,4,2,8,5,6,1] => 0010111
[7,5,8,4,6,2,3,1] => [3,6,2,8,7,4,5,1] => [7,4,8,5,6,2,3,1] => 0100111
[7,4,8,3,5,2,6,1] => [6,5,8,7,3,2,4,1] => [7,3,8,2,5,4,6,1] => 0001111
[6,4,8,3,5,2,7,1] => [7,5,8,6,3,4,2,1] => [6,3,8,4,5,2,7,1] => 0001111
[6,5,8,4,7,2,3,1] => [3,7,2,8,6,5,4,1] => [6,5,8,4,7,2,3,1] => 0100111
[5,4,7,3,8,2,6,1] => [6,8,7,5,4,2,3,1] => [5,4,7,2,8,3,6,1] => 0001111
[5,4,6,3,8,2,7,1] => [7,8,6,5,4,3,2,1] => [5,4,6,3,8,2,7,1] => 0001111
[4,3,1,5,6,8,7,2] => [3,4,7,2,5,6,8,1] => [5,6,8,7,2,4,3,1] => 0110011
[4,2,1,5,8,6,3,7] => [2,4,6,1,5,8,3,7] => [5,8,6,2,1,4,3,7] => 1010101
[4,2,1,5,8,6,7,3] => [2,4,7,1,5,8,6,3] => [5,8,6,7,2,1,4,3] => 1010011
[5,3,7,1,4,8,2,6] => [7,8,5,1,3,2,4,6] => [5,1,8,3,7,2,4,6] => 0001011
[4,3,1,5,7,8,2,6] => [3,4,8,2,5,1,7,6] => [5,7,8,2,4,3,1,6] => 0110001
[3,2,1,8,5,7,4,6] => [2,3,1,7,8,4,5,6] => [3,2,1,8,4,7,5,6] => 1100011
[6,7,2,1,8,4,3,5] => [2,7,4,8,3,6,1,5] => [6,8,4,3,7,2,1,5] => 1010011
[3,2,1,8,5,6,4,7] => [2,3,1,6,8,5,4,7] => [3,2,1,8,5,6,4,7] => 1100101
[3,2,1,8,6,5,4,7] => [2,3,1,5,6,8,4,7] => [3,2,1,8,6,5,4,7] => 1101101
[5,2,6,1,8,7,4,3] => [6,5,4,7,2,1,8,3] => [8,7,4,2,5,1,6,3] => 0011111
[5,2,6,1,8,3,4,7] => [6,5,8,3,2,1,4,7] => [8,3,5,2,6,1,4,7] => 0001101
[6,7,3,1,5,8,2,4] => [3,7,8,1,2,6,5,4] => [6,8,1,5,7,3,2,4] => 0100011
[4,2,1,7,8,6,3,5] => [2,4,6,1,3,8,7,5] => [7,8,6,2,1,4,3,5] => 1010101
[3,2,1,8,6,4,7,5] => [2,3,1,6,8,7,5,4] => [3,2,1,7,5,8,6,4] => 1100111
[3,2,1,8,6,4,5,7] => [2,3,1,6,4,8,5,7] => [3,2,1,8,6,4,5,7] => 1100101
[3,2,1,8,4,6,5,7] => [2,3,1,8,6,4,5,7] => [3,2,1,6,4,8,5,7] => 1100101
[3,2,1,8,4,6,7,5] => [2,3,1,8,7,4,6,5] => [3,2,1,7,4,6,8,5] => 1100011
[3,2,1,8,4,7,6,5] => [2,3,1,8,6,7,4,5] => [3,2,1,7,6,4,8,5] => 1100111
[4,2,1,7,8,3,6,5] => [2,4,8,1,6,3,7,5] => [6,2,1,4,3,7,8,5] => 1010101
[5,2,7,1,8,3,6,4] => [7,5,8,6,2,3,1,4] => [6,2,8,3,5,1,7,4] => 0001111
[5,2,7,1,8,3,4,6] => [7,5,8,3,2,4,1,6] => [8,3,5,2,4,7,1,6] => 0001011
[4,2,1,7,8,3,5,6] => [2,4,8,1,3,5,7,6] => [7,8,2,1,4,3,5,6] => 1010001
[3,2,1,8,4,5,7,6] => [2,3,1,8,4,7,5,6] => [3,2,1,7,4,5,8,6] => 1100011
[7,4,8,6,2,5,3,1] => [3,5,6,8,4,7,1,2] => [7,4,8,6,1,5,3,2] => 0101111
[7,4,2,8,5,6,1,3] => [6,4,1,7,8,5,2,3] => [8,5,7,4,1,6,2,3] => 0010111
[7,3,8,4,5,6,2,1] => [2,6,7,8,4,5,3,1] => [8,4,5,7,3,6,2,1] => 1000111
[6,3,7,8,2,4,1,5] => [4,8,6,2,1,3,7,5] => [6,2,7,8,1,4,3,5] => 0010101
[6,3,8,2,4,7,5,1] => [5,7,8,3,6,1,4,2] => [6,3,8,1,4,7,5,2] => 0001111
[5,7,4,2,6,8,1,3] => [8,4,1,7,5,2,6,3] => [5,7,4,1,6,8,2,3] => 0010011
[6,5,3,1,4,2,7,8] => [3,5,4,2,6,1,7,8] => [4,2,6,5,3,1,7,8] => 0111100
[5,7,4,2,6,1,3,8] => [6,4,1,7,5,2,3,8] => [5,7,4,1,6,2,3,8] => 0010110
[5,6,4,2,3,8,1,7] => [8,4,2,6,5,3,1,7] => [5,6,4,2,3,8,1,7] => 0010101
[6,3,7,2,4,5,1,8] => [5,7,6,2,4,3,1,8] => [6,2,4,7,3,5,1,8] => 0001110
[6,3,7,2,5,8,4,1] => [4,8,7,6,3,1,5,2] => [6,3,7,1,5,8,4,2] => 0010111
[5,3,6,8,2,4,7,1] => [7,8,5,2,3,6,4,1] => [5,2,6,8,3,4,7,1] => 0001011
[3,6,4,2,1,5,8,7] => [2,4,3,6,1,5,8,7] => [3,6,4,2,1,5,8,7] => 1010101
[3,5,8,6,4,2,1,7] => [2,4,3,6,5,8,1,7] => [3,5,8,6,4,2,1,7] => 1010101
[5,8,6,3,4,2,1,7] => [2,4,6,3,5,8,1,7] => [5,8,6,3,4,2,1,7] => 1010101
[5,6,3,4,2,1,8,7] => [2,4,6,3,5,1,8,7] => [5,6,3,4,2,1,8,7] => 1010101
[6,3,4,2,1,5,8,7] => [2,4,6,3,1,5,8,7] => [6,3,4,2,1,5,8,7] => 1010101
[5,6,4,2,1,3,8,7] => [2,4,1,6,5,3,8,7] => [5,6,4,2,1,3,8,7] => 1010101
[5,8,6,4,2,1,3,7] => [2,4,1,6,5,8,3,7] => [5,8,6,4,2,1,3,7] => 1010101
[4,2,1,5,7,8,6,3] => [2,4,6,1,5,8,7,3] => [5,7,8,6,2,1,4,3] => 1010101
[2,1,8,5,6,4,3,7] => [2,1,4,6,8,5,3,7] => [2,1,8,5,6,4,3,7] => 1010101
[4,2,1,8,5,6,3,7] => [2,4,6,1,8,5,3,7] => [8,5,6,2,1,4,3,7] => 1010101
[8,4,2,1,5,6,3,7] => [2,4,8,6,3,5,1,7] => [6,3,5,8,4,2,1,7] => 1010101
[2,5,6,3,8,4,1,7] => [4,2,8,6,5,1,3,7] => [2,5,6,1,8,4,3,7] => 0010101
[6,3,4,2,1,8,5,7] => [2,4,6,3,8,1,5,7] => [8,3,4,2,1,6,5,7] => 1010101
[3,7,8,5,6,4,2,1] => [2,4,3,6,8,5,7,1] => [3,7,8,5,6,4,2,1] => 1010101
[3,8,5,6,4,2,1,7] => [2,4,3,6,8,5,1,7] => [3,8,5,6,4,2,1,7] => 1010101
[3,8,6,4,2,1,5,7] => [2,4,3,6,1,8,5,7] => [3,8,6,4,2,1,5,7] => 1010101
[3,7,8,6,4,2,1,5] => [2,4,3,6,1,8,7,5] => [3,7,8,6,4,2,1,5] => 1010101
[7,6,2,4,1,8,5,3] => [4,6,5,3,7,8,1,2] => [8,5,3,7,6,1,4,2] => 0011111
[7,6,2,3,8,5,4,1] => [4,5,2,8,6,7,3,1] => [7,6,2,3,8,5,4,1] => 0011111
[2,1,7,8,6,4,3,5] => [2,1,4,6,3,8,7,5] => [2,1,7,8,6,4,3,5] => 1010101
[6,4,2,1,3,7,8,5] => [2,4,1,6,8,3,7,5] => [7,8,4,2,1,3,6,5] => 1010101
[6,3,7,8,4,2,1,5] => [2,4,8,6,3,1,7,5] => [6,3,7,8,4,2,1,5] => 1010101
[7,8,4,2,1,6,3,5] => [2,4,8,6,1,3,7,5] => [6,2,1,7,8,4,3,5] => 1010101
[5,7,6,2,3,8,4,1] => [4,8,1,6,5,7,3,2] => [5,7,6,1,3,8,4,2] => 0010111
[2,6,1,8,4,3,7,5] => [6,2,4,8,7,1,3,5] => [2,7,4,1,8,3,6,5] => 0010111
[8,4,2,3,7,5,6,1] => [6,4,2,8,7,5,3,1] => [7,5,8,4,2,3,6,1] => 0010111
[8,5,7,6,2,1,4,3] => [2,6,4,1,7,8,3,5] => [4,2,1,8,3,7,6,5] => 1010111
[4,8,5,7,6,2,1,3] => [2,6,1,4,7,8,3,5] => [4,8,2,1,3,7,6,5] => 1000111
[4,7,6,2,1,3,8,5] => [2,6,1,4,7,8,5,3] => [4,8,5,7,6,2,1,3] => 1000111
[7,5,6,1,8,4,2,3] => [6,4,2,8,7,5,1,3] => [7,5,8,4,2,6,1,3] => 0010111
[2,7,5,8,4,3,6,1] => [6,2,4,8,7,3,5,1] => [2,7,4,3,8,5,6,1] => 0010111
[6,4,7,8,3,2,1,5] => [2,3,8,6,1,4,7,5] => [6,3,2,1,7,8,4,5] => 1100101
[6,4,3,7,5,2,1,8] => [2,5,4,7,6,1,3,8] => [6,4,2,1,7,5,3,8] => 1011110
[7,6,5,4,3,1,8,9,2] => [3,4,5,6,7,9,1,8,2] => [8,9,1,7,6,5,4,3,2] => 01111101
[6,3,2,7,5,4,1,8] => [4,3,5,7,6,2,1,8] => [6,3,2,7,5,4,1,8] => 0111110
[1,5,3,7,4,2,8,6] => [1,4,7,5,2,8,3,6] => [1,5,2,8,4,3,7,6] => 0011011
[1,6,7,3,4,2,8,5] => [1,4,7,3,8,6,2,5] => [1,6,8,3,4,2,7,5] => 0010011
[3,2,8,6,4,1,7,5] => [4,3,2,6,8,7,5,1] => [3,2,7,5,8,6,4,1] => 0110111
[3,2,1,7,5,4,8,6] => [2,3,1,5,7,8,4,6] => [3,2,1,8,5,4,7,6] => 1101011
[5,1,7,3,4,2,8,6] => [5,4,7,3,1,8,2,6] => [8,3,4,1,5,2,7,6] => 0011011
[5,1,8,3,2,6,7,4] => [5,3,8,7,1,2,6,4] => [7,3,1,6,8,2,5,4] => 0101011
[3,2,8,7,1,5,6,4] => [7,3,2,6,1,5,8,4] => [3,2,6,1,5,8,7,4] => 0100111
[8,6,7,1,3,4,5,2] => [7,5,1,3,4,8,6,2] => [5,1,3,4,8,6,7,2] => 0001011
[6,4,2,8,3,1,7,5] => [3,8,4,6,7,1,2,5] => [7,4,1,6,3,2,8,5] => 0110111
[7,4,2,1,3,6,8,5] => [2,4,1,7,8,3,6,5] => [8,4,2,1,3,6,7,5] => 1010011
[8,4,2,1,3,6,7,5] => [2,4,1,8,7,3,6,5] => [7,4,2,1,3,6,8,5] => 1010011
[1,5,3,2,4,7,8,6] => [1,3,5,2,4,8,7,6] => [1,5,3,2,4,7,8,6] => 0101001
[4,6,2,1,5,3,8,7] => [2,6,5,4,1,3,8,7] => [4,5,2,1,6,3,8,7] => 1001101
[4,7,2,1,3,6,8,5] => [2,7,1,4,8,3,6,5] => [4,8,2,1,3,6,7,5] => 1000011
[6,7,1,2,4,5,8,3] => [7,1,8,2,4,6,5,3] => [6,8,1,2,4,5,7,3] => 0000011
[8,6,1,2,4,5,7,3] => [6,1,8,3,4,7,5,2] => [7,3,4,5,8,6,1,2] => 0000111
[1,8,2,3,5,6,7,4] => [1,8,2,7,3,5,6,4] => [1,7,2,3,5,6,8,4] => 0000011
[4,1,3,2,5,7,8,6] => [4,3,1,2,5,8,7,6] => [3,1,4,2,5,7,8,6] => 0110001
[5,1,2,4,3,7,8,6] => [5,1,4,2,3,8,7,6] => [4,1,2,5,3,7,8,6] => 0011001
[1,4,7,6,3,2,5,8] => [1,3,6,4,2,7,5,8] => [1,4,7,6,3,2,5,8] => 0100110
[4,1,8,7,3,2,5,6] => [4,3,7,1,2,5,8,6] => [8,7,3,1,4,2,5,6] => 0110011
[3,4,2,7,1,6,8,5] => [7,4,3,2,8,1,6,5] => [3,4,2,8,1,6,7,5] => 0010011
[2,3,6,7,4,1,8,5] => [4,2,3,7,8,6,1,5] => [2,3,6,8,4,1,7,5] => 0010011
[2,6,3,4,7,8,1,5] => [8,2,6,3,1,4,7,5] => [2,6,3,7,8,1,4,5] => 0000101
[2,6,7,8,3,4,1,5] => [4,2,8,3,1,6,7,5] => [2,6,7,8,3,4,1,5] => 0010001
[3,7,8,2,6,4,1,5] => [4,6,3,8,2,1,7,5] => [3,7,8,2,6,4,1,5] => 0010101
[1,3,6,7,4,2,5,8] => [1,4,3,7,2,6,5,8] => [1,3,6,7,4,2,5,8] => 0010010
[4,2,8,6,3,1,7,5] => [3,6,4,1,8,7,5,2] => [4,1,7,5,8,6,3,2] => 0110111
[3,7,2,4,8,6,1,5] => [6,8,3,1,2,7,4,5] => [3,7,1,8,6,2,4,5] => 0000111
[3,2,7,4,8,1,6,5] => [8,3,2,7,6,1,4,5] => [3,2,6,1,7,4,8,5] => 0100111
[1,3,6,4,7,2,5,8] => [1,7,3,6,2,4,5,8] => [1,3,6,2,7,4,5,8] => 0000110
[3,2,4,7,1,8,6,5] => [7,3,2,4,6,8,1,5] => [3,2,4,8,6,1,7,5] => 0100111
[4,7,1,5,8,2,3,6] => [7,8,2,4,1,3,5,6] => [4,8,2,7,1,3,5,6] => 0000011
[3,7,6,4,8,2,1,5] => [2,8,3,6,1,7,4,5] => [3,7,6,2,1,8,4,5] => 1000111
[2,6,7,3,8,4,1,5] => [4,2,8,7,3,6,1,5] => [2,6,7,3,8,4,1,5] => 0010011
[7,4,8,5,6,3,2,1] => [2,3,6,7,8,5,4,1] => [8,5,7,4,6,3,2,1] => 1100111
[3,4,6,7,8,5,1,2] => [5,1,3,4,8,6,7,2] => [3,4,6,7,8,5,1,2] => 0001001
[3,1,7,5,4,2,6,8] => [3,4,1,5,7,2,6,8] => [7,5,4,1,3,2,6,8] => 0111010
[1,2,7,5,8,3,6,4] => [1,2,8,6,7,3,5,4] => [1,2,7,3,6,5,8,4] => 0000111
[1,3,6,7,8,5,2,4] => [1,5,3,2,8,6,7,4] => [1,3,6,7,8,5,2,4] => 0001001
[1,2,6,4,7,8,5,3] => [1,2,5,8,6,3,7,4] => [1,2,6,3,7,8,5,4] => 0001101
[4,1,6,3,7,8,2,5] => [4,8,6,1,2,3,7,5] => [6,1,7,8,2,4,3,5] => 0010101
[3,1,6,4,8,2,7,5] => [3,8,1,6,7,4,2,5] => [7,4,6,1,3,2,8,5] => 0100111
[7,5,1,8,4,3,2,6] => [5,3,4,7,8,1,2,6] => [8,4,3,1,7,5,2,6] => 0111011
[4,1,8,5,2,3,7,6] => [4,5,2,1,8,7,3,6] => [7,5,2,4,1,3,8,6] => 0011011
[6,5,8,1,4,3,2,7] => [8,3,4,1,6,5,2,7] => [4,3,1,6,5,8,2,7] => 0110101
[1,3,5,7,2,6,8,4] => [1,7,3,8,5,2,6,4] => [1,3,5,8,2,6,7,4] => 0000011
[1,3,5,7,6,2,4,8] => [1,6,3,2,5,7,4,8] => [1,3,5,7,6,2,4,8] => 0000110
[1,3,5,7,4,6,2,8] => [1,6,3,7,5,4,2,8] => [1,3,5,7,4,6,2,8] => 0000110
[1,3,5,4,7,2,6,8] => [1,7,3,5,4,2,6,8] => [1,3,5,4,7,2,6,8] => 0001010
[1,3,5,4,7,8,2,6] => [1,8,3,5,4,2,7,6] => [1,3,5,4,7,8,2,6] => 0001001
[1,3,5,4,7,2,8,6] => [1,7,3,5,4,8,2,6] => [1,3,5,4,8,2,7,6] => 0001011
[1,3,5,7,4,8,2,6] => [1,8,3,7,5,2,4,6] => [1,3,5,7,2,8,4,6] => 0000011
[1,3,5,7,4,8,6,2] => [1,6,3,8,5,7,2,4] => [1,3,5,7,2,8,6,4] => 0000111
[1,3,5,7,2,8,6,4] => [1,7,3,6,5,8,2,4] => [1,3,5,8,6,2,7,4] => 0000111
[1,3,5,7,8,2,6,4] => [1,8,3,6,5,2,7,4] => [1,3,5,6,2,7,8,4] => 0000101
[1,3,7,2,5,4,8,6] => [1,7,3,5,2,8,4,6] => [1,3,5,2,8,4,7,6] => 0001011
[1,4,7,2,3,8,6,5] => [1,7,2,4,6,8,3,5] => [1,4,8,6,2,3,7,5] => 0000111
[2,4,7,3,1,8,6,5] => [3,2,7,4,6,8,1,5] => [2,4,8,6,3,1,7,5] => 0100111
[1,4,6,3,8,2,7,5] => [1,8,6,4,7,3,2,5] => [1,4,7,3,6,2,8,5] => 0000111
[1,3,5,2,8,7,6,4] => [1,5,3,6,2,7,8,4] => [1,3,8,7,6,2,5,4] => 0001111
[1,4,7,3,8,2,6,5] => [1,8,7,4,6,2,3,5] => [1,4,6,2,7,3,8,5] => 0000111
[3,2,6,7,8,1,5,4] => [8,3,2,5,1,6,7,4] => [3,2,5,1,6,7,8,4] => 0101001
[3,5,2,7,8,4,1,6] => [4,8,3,5,1,2,7,6] => [3,5,1,7,8,4,2,6] => 0011001
[1,5,7,4,8,3,2,6] => [1,3,8,7,5,2,4,6] => [1,5,7,3,2,8,4,6] => 0100011
[5,3,6,4,7,8,2,1] => [2,8,5,6,3,4,7,1] => [6,3,5,4,7,8,2,1] => 1001101
[3,5,2,6,8,4,7,1] => [7,5,3,8,2,6,4,1] => [3,6,8,2,5,4,7,1] => 0001011
[2,5,4,6,8,7,1,3] => [7,2,1,5,4,6,8,3] => [2,5,4,6,8,7,1,3] => 0001011
[2,5,7,4,3,8,6,1] => [6,2,4,8,5,7,1,3] => [2,5,7,4,1,8,6,3] => 0010111
[1,5,7,2,4,8,6,3] => [1,7,6,2,5,8,4,3] => [1,5,8,6,2,4,7,3] => 0000111
[4,6,3,7,2,8,5,1] => [5,8,7,4,6,1,3,2] => [4,6,1,7,3,8,5,2] => 0001111
[4,3,6,7,8,2,5,1] => [5,8,4,3,2,6,7,1] => [4,3,6,7,8,2,5,1] => 0011001
[1,4,7,3,8,6,2,5] => [1,6,8,4,3,7,2,5] => [1,4,7,3,8,6,2,5] => 0000111
[2,5,4,7,8,6,1,3] => [6,2,1,5,4,8,7,3] => [2,5,4,7,8,6,1,3] => 0001101
[3,2,6,7,8,5,1,4] => [5,3,2,1,8,6,7,4] => [3,2,6,7,8,5,1,4] => 0101001
[1,3,7,2,8,6,5,4] => [1,7,3,5,6,8,2,4] => [1,3,8,6,5,2,7,4] => 0001111
[5,1,6,8,2,4,3,7] => [5,8,4,2,1,6,3,7] => [4,2,6,8,1,5,3,7] => 0011001
[8,5,3,7,2,4,1,6] => [4,7,5,2,8,1,3,6] => [8,5,2,7,1,4,3,6] => 0011011
[6,3,1,5,8,2,4,7] => [3,6,8,1,2,5,4,7] => [8,1,5,6,3,2,4,7] => 0100101
[6,5,3,4,2,8,1,7] => [8,4,5,3,6,2,1,7] => [6,5,3,4,2,8,1,7] => 0011101
[8,1,5,7,3,2,4,6] => [8,3,7,2,1,4,5,6] => [7,3,2,8,1,4,5,6] => 0100011
[4,6,7,8,2,3,1,5] => [3,8,2,4,1,6,7,5] => [4,6,7,8,2,3,1,5] => 0100001
[8,7,4,6,2,3,1,5] => [3,6,2,7,1,4,8,5] => [8,7,2,3,1,6,4,5] => 0100111
[5,6,8,7,2,3,1,4] => [3,7,2,1,5,6,8,4] => [5,6,8,7,2,3,1,4] => 0100011
[3,1,7,4,2,8,6,5] => [3,4,1,7,6,8,2,5] => [8,6,4,1,3,2,7,5] => 0110111
[7,6,4,8,2,3,1,5] => [3,8,2,6,1,7,4,5] => [7,6,2,3,1,8,4,5] => 0100111
[5,7,6,8,2,3,1,4] => [3,8,2,1,5,7,6,4] => [5,7,6,8,2,3,1,4] => 0100011
[8,6,4,7,2,3,1,5] => [3,7,2,6,1,8,4,5] => [8,6,2,3,1,7,4,5] => 0100111
[2,3,7,8,4,1,6,5] => [4,2,3,8,6,1,7,5] => [2,3,6,4,1,7,8,5] => 0010101
[3,7,4,8,2,5,1,6] => [5,8,3,7,2,1,4,6] => [3,7,2,8,1,5,4,6] => 0001011
[2,3,7,4,1,6,8,5] => [4,2,3,7,8,1,6,5] => [2,3,8,4,1,6,7,5] => 0010011
[4,7,8,6,2,3,1,5] => [3,6,2,4,1,8,7,5] => [4,7,8,6,2,3,1,5] => 0100101
[3,1,7,6,4,2,8,5] => [3,4,1,6,7,8,5,2] => [8,5,7,6,4,1,3,2] => 0110111
[4,8,7,6,2,3,1,5] => [3,6,2,4,1,7,8,5] => [4,8,7,6,2,3,1,5] => 0100111
[6,8,7,5,2,3,1,4] => [3,5,2,1,7,6,8,4] => [6,8,7,5,2,3,1,4] => 0101011
[4,3,6,1,5,8,7,2] => [6,7,4,3,1,5,8,2] => [4,3,8,7,1,5,6,2] => 0010111
[4,6,3,5,1,8,7,2] => [5,7,6,4,3,1,8,2] => [4,6,3,8,7,1,5,2] => 0001111
[2,6,5,3,1,8,7,4] => [3,2,5,6,7,4,8,1] => [2,8,7,4,6,5,3,1] => 0101111
[2,6,5,1,8,7,3,4] => [5,2,6,1,7,3,8,4] => [2,8,7,1,6,5,3,4] => 0001111
[2,6,5,8,1,3,7,4] => [8,2,1,7,6,5,3,4] => [2,6,5,7,1,3,8,4] => 0000111
[2,6,5,8,3,1,7,4] => [3,2,8,7,6,5,1,4] => [2,6,5,7,3,1,8,4] => 0100111
[2,6,5,3,8,1,7,4] => [8,2,5,6,7,4,1,3] => [2,7,4,6,5,1,8,3] => 0001111
[4,6,1,5,8,3,7,2] => [6,7,8,4,1,5,3,2] => [4,8,1,5,7,3,6,2] => 0000111
[4,1,6,5,8,7,3,2] => [4,3,7,1,6,5,8,2] => [6,5,8,7,3,1,4,2] => 0110111
[2,6,5,3,8,7,1,4] => [7,2,5,1,6,3,8,4] => [2,6,5,1,8,7,3,4] => 0001111
[6,4,8,3,7,1,5,2] => [7,5,8,6,1,4,3,2] => [6,1,8,4,5,3,7,2] => 0001111
[4,6,1,8,5,7,3,2] => [6,3,7,4,8,1,5,2] => [4,8,3,1,7,5,6,2] => 0100111
[4,1,6,8,5,7,3,2] => [4,3,7,1,8,6,5,2] => [6,8,5,7,3,1,4,2] => 0110011
[1,4,6,8,5,3,7,2] => [1,7,5,4,8,6,3,2] => [1,4,6,8,5,3,7,2] => 0001011
[2,6,8,5,1,7,3,4] => [5,2,8,1,7,6,3,4] => [2,6,7,1,8,5,3,4] => 0001011
[4,6,8,3,5,1,7,2] => [5,7,8,4,3,6,1,2] => [4,6,8,3,7,1,5,2] => 0001011
[4,6,8,3,1,5,7,2] => [3,8,7,4,2,6,5,1] => [4,6,7,2,5,8,3,1] => 0100011
[4,6,3,8,5,7,1,2] => [7,1,6,4,8,3,5,2] => [4,8,3,6,5,7,1,2] => 0000111
[4,3,6,1,8,5,7,2] => [6,7,4,3,8,1,5,2] => [4,3,8,1,7,5,6,2] => 0010111
[4,1,3,6,8,7,5,2] => [4,5,1,3,7,6,8,2] => [6,8,7,5,1,3,4,2] => 0011011
[4,3,6,1,8,7,5,2] => [6,5,4,3,7,1,8,2] => [4,3,8,7,5,1,6,2] => 0011111
[6,2,5,8,7,3,1,4] => [3,7,6,2,1,5,8,4] => [6,2,5,8,7,3,1,4] => 0100111
[4,6,3,8,1,7,5,2] => [8,5,7,4,6,2,1,3] => [4,6,2,7,5,1,8,3] => 0001111
[4,6,3,1,8,7,5,2] => [3,6,5,4,7,2,8,1] => [4,8,7,5,2,6,3,1] => 0101111
[4,1,6,8,3,7,5,2] => [4,5,7,1,8,6,2,3] => [6,8,1,7,5,2,4,3] => 0011011
[4,6,1,8,3,7,5,2] => [6,5,7,4,8,1,2,3] => [4,8,1,7,5,2,6,3] => 0001111
[6,4,1,8,7,5,3,2] => [4,3,6,5,7,2,8,1] => [8,7,5,3,2,6,4,1] => 0111111
[6,1,4,8,7,5,3,2] => [6,3,5,1,7,4,8,2] => [8,7,5,3,1,4,6,2] => 0101111
[1,6,4,8,7,3,5,2] => [1,5,7,6,3,4,8,2] => [1,6,3,8,7,4,5,2] => 0001111
[4,2,8,7,5,1,3,6] => [5,4,1,2,7,3,8,6] => [4,1,8,7,5,2,3,6] => 0011011
[2,3,4,5,6,8,9,7,1] => [7,2,3,4,5,6,9,8,1] => [2,3,4,5,6,8,9,7,1] => 00000101
[2,3,4,7,1,8,6,5] => [7,2,3,4,6,8,1,5] => [2,3,4,8,6,1,7,5] => 0000111
[2,3,4,5,7,8,9,6,1] => [6,2,3,4,5,9,7,8,1] => [2,3,4,5,7,8,9,6,1] => 00001001
[2,3,5,6,7,8,9,4,1] => [4,2,3,9,5,6,7,8,1] => [2,3,5,6,7,8,9,4,1] => 00100001
[2,4,5,6,7,8,9,3,1] => [3,2,9,4,5,6,7,8,1] => [2,4,5,6,7,8,9,3,1] => 01000001
[2,3,4,5,6,7,9,10,8,1] => [8,2,3,4,5,6,7,10,9,1] => [2,3,4,5,6,7,9,10,8,1] => 000000101
[2,3,4,5,6,8,9,10,7,1] => [7,2,3,4,5,6,10,8,9,1] => [2,3,4,5,6,8,9,10,7,1] => 000001001
[2,3,6,7,4,8,5,1] => [5,2,3,8,7,6,1,4] => [2,3,6,7,1,8,5,4] => 0001011
[2,5,6,3,7,8,1,4] => [8,2,6,1,5,3,7,4] => [2,5,6,1,7,8,3,4] => 0000101
[2,3,7,1,4,8,6,5] => [7,2,3,1,6,8,4,5] => [2,3,8,6,1,4,7,5] => 0000111
[2,3,4,6,7,8,9,10,5,1] => [5,2,3,4,10,6,7,8,9,1] => [2,3,4,6,7,8,9,10,5,1] => 000100001
[2,6,1,3,7,8,5,4] => [6,2,1,5,8,3,7,4] => [2,7,8,5,1,3,6,4] => 0001101
[2,3,5,6,7,8,9,10,4,1] => [4,2,3,10,5,6,7,8,9,1] => [2,3,5,6,7,8,9,10,4,1] => 001000001
[2,3,4,5,6,7,10,1,8,9] => [10,2,3,4,5,6,7,1,8,9] => [2,3,4,5,6,7,10,1,8,9] => 000000001
[2,5,6,7,4,8,1,3] => [8,2,1,7,5,6,4,3] => [2,5,6,7,4,8,1,3] => 0000011
[1,5,3,2,6,4,7,8] => [1,3,5,6,2,4,7,8] => [1,6,3,2,5,4,7,8] => 0101100
[1,5,3,2,6,7,4,8] => [1,3,5,7,2,6,4,8] => [1,6,7,3,2,5,4,8] => 0101010
[1,3,2,7,5,4,8,6] => [1,3,2,5,7,8,4,6] => [1,3,2,8,5,4,7,6] => 0101011
[5,4,7,6,2,3,1,8] => [3,6,2,5,4,7,1,8] => [5,4,7,6,2,3,1,8] => 0101110
[1,6,2,8,5,3,4,7] => [1,6,5,3,8,2,4,7] => [1,8,5,3,6,2,4,7] => 0001101
[4,7,2,3,5,6,1,8] => [6,7,2,4,3,5,1,8] => [4,7,2,3,5,6,1,8] => 0000110
[4,6,2,3,5,7,1,8] => [7,6,2,4,3,5,1,8] => [4,6,2,3,5,7,1,8] => 0000110
[3,5,2,1,6,8,4,7] => [2,5,3,8,1,6,4,7] => [3,6,8,2,1,5,4,7] => 1001001
[1,5,2,6,8,4,3,7] => [1,5,4,8,2,6,3,7] => [1,6,8,4,2,5,3,7] => 0011001
[3,6,8,4,2,1,5,7] => [2,4,3,8,1,6,5,7] => [3,6,8,4,2,1,5,7] => 1010001
[1,5,8,2,7,4,3,6] => [1,8,4,7,5,3,2,6] => [1,5,7,4,3,8,2,6] => 0010011
[6,8,2,3,4,1,7,5] => [4,8,2,3,7,6,1,5] => [6,7,2,3,4,1,8,5] => 0010011
[2,3,1,8,4,5,7,6] => [3,2,1,8,4,7,5,6] => [2,3,1,7,4,5,8,6] => 0100011
[7,3,2,1,4,5,8,6] => [2,3,7,1,4,8,5,6] => [8,3,2,1,4,5,7,6] => 1100011
[7,8,1,4,3,5,2,6] => [8,5,4,1,3,2,7,6] => [4,1,5,3,7,8,2,6] => 0011001
[6,1,2,3,4,8,7,5] => [6,1,2,3,7,4,8,5] => [8,7,1,2,3,4,6,5] => 0000111
[2,8,1,3,5,4,7,6] => [8,2,1,5,3,7,4,6] => [2,5,1,3,7,4,8,6] => 0001011
[8,3,2,1,4,5,7,6] => [2,3,8,1,4,7,5,6] => [7,3,2,1,4,5,8,6] => 1100011
[3,8,2,1,5,6,4,7] => [2,8,3,6,1,5,4,7] => [3,6,2,1,5,8,4,7] => 1000101
[3,8,2,1,6,5,4,7] => [2,8,3,5,6,1,4,7] => [3,6,5,2,1,8,4,7] => 1001101
[1,7,8,3,5,4,2,6] => [1,4,5,8,2,3,7,6] => [1,7,8,2,5,4,3,6] => 0011001
[7,4,1,8,3,5,2,6] => [4,7,5,8,1,3,2,6] => [8,1,5,3,7,4,2,6] => 0011011
[8,4,1,7,3,5,2,6] => [4,8,5,7,1,3,2,6] => [7,1,5,3,8,4,2,6] => 0011011
[3,8,4,6,2,1,5,7] => [2,6,3,8,1,4,5,7] => [3,8,2,1,6,4,5,7] => 1000101
[4,3,2,5,1,8,6,7] => [5,3,4,2,1,8,6,7] => [4,3,2,5,1,8,6,7] => 0111001
[3,5,2,4,1,8,6,7] => [4,5,3,2,1,8,6,7] => [3,5,2,4,1,8,6,7] => 0011001
[2,4,7,8,1,5,3,6] => [8,2,5,4,1,3,7,6] => [2,4,5,1,7,8,3,6] => 0001001
[1,8,7,3,5,4,2,6] => [1,4,5,7,2,3,8,6] => [1,8,7,2,5,4,3,6] => 0011011
[5,1,8,2,7,4,3,6] => [5,8,4,7,1,3,2,6] => [7,4,1,8,3,5,2,6] => 0011011
[5,1,7,2,8,4,3,6] => [5,7,4,8,1,3,2,6] => [8,4,1,7,3,5,2,6] => 0011011
[6,1,2,8,5,3,4,7] => [6,1,5,3,8,2,4,7] => [8,5,3,6,1,2,4,7] => 0001101
[7,3,2,8,4,5,1,6] => [5,3,7,8,4,1,2,6] => [8,4,7,3,1,5,2,6] => 0101011
[7,1,8,3,5,4,2,6] => [7,4,5,8,2,3,1,6] => [8,2,5,4,3,7,1,6] => 0011011
[6,7,1,3,4,8,2,5] => [7,8,1,3,2,6,4,5] => [6,8,1,3,7,2,4,5] => 0000011
[6,8,1,3,4,7,2,5] => [8,7,1,3,2,6,4,5] => [6,7,1,3,8,2,4,5] => 0000011
[1,6,2,3,4,8,7,5] => [1,6,2,3,7,4,8,5] => [1,8,7,2,3,4,6,5] => 0000111
[7,6,2,3,4,1,8,5] => [4,6,2,3,7,8,5,1] => [8,5,7,6,2,3,4,1] => 0010111
[8,3,2,7,4,5,1,6] => [5,3,8,7,4,1,2,6] => [7,4,8,3,1,5,2,6] => 0101011
[7,6,2,3,4,8,1,5] => [8,6,2,3,1,7,4,5] => [7,6,2,3,8,1,4,5] => 0000111
[8,6,2,3,4,7,1,5] => [7,6,2,3,1,8,4,5] => [8,6,2,3,7,1,4,5] => 0000111
[6,3,4,8,7,5,1,2] => [5,1,7,2,6,4,8,3] => [6,1,2,4,8,7,5,3] => 0001111
[4,8,7,3,5,6,1,2] => [6,1,7,4,3,5,8,2] => [4,8,7,3,5,6,1,2] => 0000111
[4,8,7,5,3,6,1,2] => [6,1,5,4,7,3,8,2] => [4,8,7,5,3,6,1,2] => 0001111
[5,8,7,3,4,6,1,2] => [6,1,7,3,5,4,8,2] => [5,8,7,3,4,6,1,2] => 0000111
[5,3,7,2,6,1,8,4] => [6,7,5,8,3,2,1,4] => [8,3,5,2,7,1,6,4] => 0001111
[5,2,8,1,6,3,7,4] => [8,5,6,7,2,1,3,4] => [7,2,6,1,5,3,8,4] => 0001111
[7,8,4,1,2,6,5,3] => [4,1,8,5,6,3,7,2] => [6,5,3,7,8,4,1,2] => 0011101
[4,8,1,5,2,7,6,3] => [8,5,6,4,1,7,2,3] => [4,7,6,1,5,2,8,3] => 0001111
[5,8,1,2,4,7,6,3] => [8,1,6,2,5,7,4,3] => [5,7,6,1,2,4,8,3] => 0000111
[5,2,8,3,6,7,1,4] => [7,5,8,1,2,3,6,4] => [8,1,5,2,6,7,3,4] => 0001011
[2,8,7,6,4,1,3,5] => [4,2,1,6,3,7,8,5] => [2,8,7,6,4,1,3,5] => 0010111
[2,8,7,6,3,1,4,5] => [3,2,6,1,4,7,8,5] => [2,8,7,6,3,1,4,5] => 0100111
[1,8,7,6,2,4,3,5] => [1,6,4,2,3,7,8,5] => [1,4,2,8,7,6,3,5] => 0010111
[1,8,7,6,3,4,2,5] => [1,4,6,3,2,7,8,5] => [1,8,7,6,3,4,2,5] => 0010111
[3,1,7,2,6,5,8,4] => [3,7,1,8,6,2,5,4] => [6,1,3,2,8,5,7,4] => 0100111
[6,1,2,8,5,7,3,4] => [6,1,7,3,8,2,5,4] => [8,3,7,5,6,1,2,4] => 0000111
[6,2,1,8,5,7,3,4] => [2,6,7,3,8,1,5,4] => [8,3,7,5,6,2,1,4] => 1000111
[2,3,7,1,6,8,5,4] => [7,2,3,5,8,1,6,4] => [2,3,8,5,1,6,7,4] => 0001011
[1,3,7,2,6,8,5,4] => [1,7,3,5,8,2,6,4] => [1,3,8,5,2,6,7,4] => 0001011
[7,8,2,6,5,3,1,4] => [3,5,6,1,8,2,7,4] => [7,8,1,6,5,3,2,4] => 0101101
[3,2,6,7,5,8,1,4] => [8,3,2,1,7,6,5,4] => [3,2,6,7,5,8,1,4] => 0100011
[1,2,7,5,6,3,8,4] => [1,2,6,8,7,5,3,4] => [1,2,7,5,8,3,6,4] => 0000111
[4,8,7,6,2,1,3,5] => [2,6,1,4,3,7,8,5] => [4,8,7,6,2,1,3,5] => 1000111
[4,8,7,6,1,3,2,5] => [6,3,1,4,2,7,8,5] => [3,1,4,8,7,6,2,5] => 0100111
[7,8,3,6,5,1,2,4] => [5,1,6,3,8,2,7,4] => [7,8,3,6,5,1,2,4] => 0001101
[2,3,7,5,6,8,1,4] => [8,2,3,1,7,5,6,4] => [2,3,7,5,6,8,1,4] => 0000011
[5,1,4,6,8,2,3,7] => [5,8,2,1,4,6,3,7] => [6,8,2,4,5,1,3,7] => 0001001
[1,7,6,3,5,4,8,2] => [1,8,6,5,3,7,4,2] => [1,5,3,7,6,4,8,2] => 0001111
[3,4,6,1,5,7,2,8] => [6,7,3,4,1,5,2,8] => [3,4,7,1,5,6,2,8] => 0000110
[7,8,6,5,1,2,4,3] => [5,1,4,2,6,8,7,3] => [4,1,2,7,8,6,5,3] => 0011101
[6,8,5,2,4,1,7,3] => [4,5,8,3,7,6,1,2] => [6,7,3,8,5,1,4,2] => 0011011
[2,3,1,6,8,5,7,4] => [3,2,1,7,8,6,5,4] => [2,3,1,6,8,5,7,4] => 0100011
[7,3,2,5,1,4,8,6] => [5,3,7,1,2,8,4,6] => [8,3,1,5,2,4,7,6] => 0101011
[7,1,4,2,3,6,8,5] => [7,4,2,1,8,3,6,5] => [4,2,8,1,3,6,7,5] => 0010011
[1,5,8,3,4,6,7,2] => [1,7,8,3,5,4,6,2] => [1,5,8,3,4,6,7,2] => 0000011
[8,3,1,2,4,7,6,5] => [3,1,8,2,6,7,4,5] => [7,6,3,1,2,4,8,5] => 0100111
[2,3,8,1,6,5,4,7] => [8,2,3,5,6,1,4,7] => [2,3,6,5,1,8,4,7] => 0001101
[8,1,4,7,2,5,3,6] => [8,7,5,1,2,3,4,6] => [5,1,7,2,8,3,4,6] => 0001011
[3,5,2,4,1,7,8,6] => [4,5,3,2,1,8,7,6] => [3,5,2,4,1,7,8,6] => 0011001
[7,3,2,8,6,4,1,5] => [4,3,6,8,1,7,2,5] => [7,3,1,8,6,4,2,5] => 0110111
[7,3,5,2,6,1,8,4] => [6,5,7,8,3,2,1,4] => [8,3,7,2,5,1,6,4] => 0001111
[2,8,6,4,3,7,1,5] => [7,2,4,6,1,8,3,5] => [2,8,6,4,1,7,3,5] => 0010111
[8,3,2,6,4,7,1,5] => [7,3,8,6,1,2,4,5] => [6,3,1,8,2,7,4,5] => 0100111
[2,3,8,7,6,5,1,4] => [5,2,3,1,6,7,8,4] => [2,3,8,7,6,5,1,4] => 0001111
[1,2,8,7,3,6,5,4] => [1,2,7,5,6,3,8,4] => [1,2,6,5,3,8,7,4] => 0001111
[4,2,8,7,3,6,1,5] => [6,4,7,2,1,3,8,5] => [8,7,2,4,1,6,3,5] => 0010111
[4,5,8,7,1,2,6,3] => [7,1,6,4,5,2,8,3] => [4,5,6,1,2,8,7,3] => 0000111
[3,6,8,4,7,2,1,5] => [2,7,3,8,1,6,4,5] => [3,6,8,2,1,7,4,5] => 1000011
[3,2,8,4,7,6,1,5] => [6,3,2,7,4,8,1,5] => [3,2,8,4,7,6,1,5] => 0100111
[3,5,8,4,7,2,1,6] => [2,7,3,8,5,1,4,6] => [3,5,8,2,1,7,4,6] => 1000011
[1,6,8,4,2,7,5,3] => [1,4,8,5,7,6,3,2] => [1,6,7,5,3,8,4,2] => 0011011
[1,5,8,2,3,7,6,4] => [1,8,2,6,5,7,3,4] => [1,5,7,6,2,3,8,4] => 0000111
[5,6,8,4,1,2,7,3] => [4,1,8,7,5,6,3,2] => [5,6,7,3,8,4,1,2] => 0010011
[5,6,8,1,3,2,7,4] => [8,3,1,7,5,6,2,4] => [3,1,5,6,7,2,8,4] => 0100011
[1,6,8,4,3,2,7,5] => [1,3,4,8,7,6,2,5] => [1,6,7,4,3,2,8,5] => 0110011
[5,6,8,4,3,2,1,7] => [2,3,4,8,5,6,1,7] => [5,6,8,4,3,2,1,7] => 1110001
[7,1,2,8,6,5,4,3] => [7,1,4,5,6,8,2,3] => [8,6,5,4,1,2,7,3] => 0011111
[7,3,1,8,6,2,5,4] => [3,7,6,5,1,8,2,4] => [5,1,8,6,3,2,7,4] => 0101111
[7,2,4,8,3,6,1,5] => [6,7,8,2,1,3,4,5] => [8,2,7,1,6,3,4,5] => 0000111
[7,1,4,8,3,2,6,5] => [7,3,8,1,6,2,4,5] => [6,3,1,8,2,4,7,5] => 0100111
[7,4,5,8,3,2,1,6] => [2,3,8,7,4,1,5,6] => [7,4,8,3,2,1,5,6] => 1100011
[3,1,5,8,7,2,6,4] => [3,7,1,6,5,2,8,4] => [5,6,1,3,2,8,7,4] => 0100111
[1,6,4,8,2,7,5,3] => [1,8,5,7,6,3,2,4] => [1,6,3,7,5,2,8,4] => 0001111
[1,4,5,8,2,7,6,3] => [1,8,6,4,5,7,2,3] => [1,4,5,7,6,2,8,3] => 0000111
[1,4,5,8,3,2,7,6] => [1,3,8,4,5,7,2,6] => [1,4,5,7,3,2,8,6] => 0100011
[7,6,1,3,8,2,5,4] => [6,7,2,5,1,8,3,4] => [5,2,8,1,3,7,6,4] => 0001111
[7,2,5,1,8,6,4,3] => [5,7,4,6,2,8,1,3] => [8,6,4,2,7,1,5,3] => 0011111
[7,2,5,3,8,6,1,4] => [6,8,5,2,1,7,3,4] => [5,2,7,1,8,6,3,4] => 0001111
[7,3,5,4,8,2,1,6] => [2,8,7,5,3,1,4,6] => [5,3,7,2,1,8,4,6] => 1001011
[2,3,5,4,8,7,1,6] => [7,2,3,5,4,1,8,6] => [2,3,5,4,8,7,1,6] => 0001011
[1,3,5,4,8,2,7,6] => [1,8,3,5,4,7,2,6] => [1,3,5,4,7,2,8,6] => 0001011
[3,6,5,4,8,2,1,7] => [2,8,3,5,6,4,1,7] => [3,6,5,4,8,2,1,7] => 1001101
[7,6,1,2,3,8,5,4] => [6,1,2,5,7,8,4,3] => [8,5,4,7,6,1,2,3] => 0001111
[7,6,2,4,3,8,1,5] => [8,6,4,2,1,7,3,5] => [4,2,7,6,1,8,3,5] => 0010111
[7,1,2,4,3,8,6,5] => [7,1,4,2,6,8,3,5] => [4,1,2,8,6,3,7,5] => 0010111
[2,6,5,4,3,8,1,7] => [8,2,4,5,6,3,1,7] => [2,6,5,4,3,8,1,7] => 0011101
[3,4,2,6,7,8,1,5] => [8,4,3,2,1,6,7,5] => [3,4,2,6,7,8,1,5] => 0010001
[3,1,4,2,6,8,7,5] => [3,4,1,2,7,6,8,5] => [4,1,3,2,6,8,7,5] => 0110011
[2,7,8,3,5,4,1,6] => [4,2,5,8,1,3,7,6] => [2,7,8,1,5,4,3,6] => 0011001
[4,7,1,2,8,5,3,6] => [7,1,5,4,8,3,2,6] => [4,8,5,3,7,1,2,6] => 0001011
[4,8,1,2,7,5,3,6] => [8,1,5,4,7,3,2,6] => [4,7,5,3,8,1,2,6] => 0001011
[6,7,3,2,8,1,4,5] => [8,3,7,1,4,6,2,5] => [6,7,3,1,4,8,2,5] => 0100011
[7,4,1,2,8,5,3,6] => [4,1,7,5,8,2,3,6] => [8,5,1,2,7,4,3,6] => 0011011
[7,4,3,1,5,6,8,2] => [3,4,7,8,1,5,6,2] => [8,1,5,6,7,4,3,2] => 0110011
[6,7,4,1,5,8,3,2] => [4,3,7,8,2,6,5,1] => [6,8,3,2,5,7,4,1] => 0110011
[2,7,1,3,6,5,4,8] => [7,2,1,5,6,3,4,8] => [2,6,5,1,3,7,4,8] => 0001110
[8,4,3,1,5,6,7,2] => [3,4,8,7,1,5,6,2] => [7,1,5,6,8,4,3,2] => 0110011
[4,5,3,1,8,6,7,2] => [3,5,7,4,2,8,6,1] => [4,8,6,7,2,5,3,1] => 0101011
[4,8,5,6,3,1,7,2] => [3,6,7,4,8,5,2,1] => [4,8,5,7,2,6,3,1] => 0100111
[6,8,3,2,5,1,4,7] => [5,3,8,1,2,6,4,7] => [6,8,3,1,5,2,4,7] => 0101001
[5,7,1,4,6,8,3,2] => [7,3,8,1,5,4,6,2] => [5,8,3,1,4,6,7,2] => 0100011
[5,1,3,4,7,6,8,2] => [5,8,1,3,4,7,6,2] => [7,6,8,1,3,4,5,2] => 0001011
[6,1,4,2,7,5,3,8] => [6,4,5,1,7,2,3,8] => [7,5,1,4,2,6,3,8] => 0011110
[5,4,3,7,1,6,8,2] => [7,8,4,5,3,1,6,2] => [5,4,3,8,1,6,7,2] => 0011011
[8,2,7,6,5,4,1,3] => [4,5,2,6,7,8,1,3] => [8,2,7,6,5,4,1,3] => 0011111
[7,2,8,6,5,4,3,1] => [3,4,5,6,8,7,2,1] => [7,2,8,6,5,4,3,1] => 0111111
[3,2,8,7,6,5,1,4] => [5,3,2,1,6,7,8,4] => [3,2,8,7,6,5,1,4] => 0101111
[4,8,7,6,5,3,1,2] => [3,1,5,4,6,7,8,2] => [4,8,7,6,5,3,1,2] => 0101111
[7,3,8,6,5,4,2,1] => [2,4,5,6,8,7,1,3] => [7,2,1,8,6,5,4,3] => 1011111
[2,8,7,6,3,5,4,1] => [4,2,5,6,1,7,8,3] => [2,8,7,6,1,5,4,3] => 0011111
[8,6,1,5,3,2,4,7] => [6,3,5,2,1,8,4,7] => [5,3,2,8,6,1,4,7] => 0101101
[7,8,1,5,3,2,4,6] => [8,3,5,2,1,4,7,6] => [5,3,2,7,8,1,4,6] => 0101001
[8,1,7,5,3,2,4,6] => [8,3,5,2,7,4,1,6] => [7,5,3,2,4,8,1,6] => 0101011
[8,6,3,1,5,2,4,7] => [3,6,5,1,2,8,4,7] => [5,1,8,6,3,2,4,7] => 0101101
[8,4,6,1,5,2,3,7] => [6,5,2,8,1,4,3,7] => [8,2,5,4,6,1,3,7] => 0001101
[7,8,3,1,5,2,4,6] => [3,8,5,1,2,4,7,6] => [5,1,7,8,3,2,4,6] => 0101001
[8,2,6,1,7,4,3,5] => [6,8,4,7,3,2,1,5] => [7,4,3,8,2,6,1,5] => 0010111
[8,1,5,7,3,2,6,4] => [8,3,7,6,1,2,5,4] => [6,3,1,7,2,5,8,4] => 0100111
[5,7,6,1,8,2,3,4] => [6,7,1,3,5,8,2,4] => [5,8,1,3,7,6,2,4] => 0000111
[6,7,2,5,1,8,3,4] => [5,7,8,3,2,6,1,4] => [6,8,3,7,2,5,1,4] => 0001011
[6,5,7,1,8,2,3,4] => [7,8,2,3,6,5,1,4] => [6,5,8,2,3,7,1,4] => 0000111
[7,6,1,4,8,2,3,5] => [6,7,1,2,3,8,4,5] => [8,1,7,6,2,3,4,5] => 0000111
[7,8,4,1,3,2,5,6] => [4,3,1,8,2,5,7,6] => [3,1,7,8,4,2,5,6] => 0110001
[6,8,1,7,3,2,4,5] => [8,3,7,2,4,6,1,5] => [6,7,3,2,4,8,1,5] => 0100011
[7,1,8,4,3,6,2,5] => [7,6,4,8,2,3,1,5] => [8,4,2,6,3,7,1,5] => 0010111
[7,3,1,8,5,6,2,4] => [3,7,6,1,8,5,2,4] => [8,5,6,1,7,3,2,4] => 0100111
[6,2,7,8,3,1,5,4] => [3,8,6,5,2,1,7,4] => [5,2,6,3,1,7,8,4] => 0101101
[8,4,1,7,3,2,6,5] => [4,3,8,7,6,1,2,5] => [6,3,1,7,4,2,8,5] => 0110111
[8,2,7,4,1,3,6,5] => [4,7,2,8,6,3,1,5] => [6,2,3,8,4,1,7,5] => 0010111
[7,4,8,2,1,3,6,5] => [2,8,1,7,6,3,4,5] => [6,2,1,3,7,4,8,5] => 1000111
[7,4,3,8,1,2,6,5] => [8,1,4,7,6,2,3,5] => [6,4,1,2,7,3,8,5] => 0010111
[7,8,5,2,3,6,4,1] => [4,6,1,5,8,3,7,2] => [7,8,5,1,3,6,4,2] => 0011101
[8,7,5,2,3,1,6,4] => [3,5,2,7,6,4,8,1] => [6,4,8,7,5,2,3,1] => 0101111
[6,8,5,2,3,4,7,1] => [7,5,2,3,8,6,4,1] => [6,8,5,2,3,4,7,1] => 0001011
[3,5,2,4,6,8,1,7] => [8,5,3,2,4,6,1,7] => [3,5,2,4,6,8,1,7] => 0001001
[2,4,5,7,3,6,8,1] => [8,2,7,4,5,3,6,1] => [2,4,5,7,3,6,8,1] => 0000011
[4,3,5,2,6,8,1,7] => [8,5,4,3,2,6,1,7] => [4,3,5,2,6,8,1,7] => 0011001
[4,3,5,7,2,6,8,1] => [8,7,4,3,5,2,6,1] => [4,3,5,7,2,6,8,1] => 0010011
[4,6,3,7,2,5,8,1] => [8,7,6,4,2,3,5,1] => [4,6,2,7,3,5,8,1] => 0000111
[4,6,3,1,7,8,2,5] => [3,6,8,4,1,2,7,5] => [4,7,8,1,6,3,2,5] => 0100101
[5,7,1,3,4,8,2,6] => [7,8,1,3,5,2,4,6] => [5,8,1,3,7,2,4,6] => 0000011
[4,6,3,5,1,7,8,2] => [5,8,6,4,3,1,7,2] => [4,6,3,7,8,1,5,2] => 0001101
[4,6,3,5,7,2,8,1] => [8,7,6,4,3,5,2,1] => [4,6,3,5,7,2,8,1] => 0000111
[3,5,6,4,1,7,8,2] => [4,6,3,8,5,2,7,1] => [3,5,7,8,2,6,4,1] => 0010101
[3,1,5,6,7,4,8,2] => [3,8,1,7,5,6,4,2] => [5,6,7,4,8,1,3,2] => 0100011
[1,6,7,3,4,5,8,2] => [1,8,7,3,4,6,5,2] => [1,6,7,3,4,5,8,2] => 0000011
[5,3,6,1,2,7,8,4] => [6,1,5,8,3,2,7,4] => [7,8,3,5,1,2,6,4] => 0001101
[3,5,2,6,1,7,8,4] => [6,5,3,8,2,1,7,4] => [3,7,8,2,5,1,6,4] => 0001101
[5,2,3,6,7,4,8,1] => [8,5,2,7,3,6,4,1] => [6,7,2,3,5,4,8,1] => 0001011
[4,2,6,7,3,5,8,1] => [8,4,7,2,3,6,5,1] => [6,7,2,4,3,5,8,1] => 0010011
[3,5,7,2,8,1,4,6] => [8,7,3,1,5,4,2,6] => [3,5,7,1,4,8,2,6] => 0000011
[7,2,4,6,8,1,3,5] => [8,7,1,2,3,4,6,5] => [7,1,6,8,2,3,4,5] => 0000011
[7,1,3,4,6,8,2,5] => [7,8,1,3,2,4,6,5] => [8,1,3,6,7,2,4,5] => 0000011
[3,7,2,4,6,8,1,5] => [8,7,3,2,1,4,6,5] => [3,7,2,6,8,1,4,5] => 0000011
[3,5,7,2,6,8,1,4] => [8,7,3,1,5,2,6,4] => [3,5,7,1,6,8,2,4] => 0000011
[6,3,7,2,5,8,1,4] => [8,7,6,1,2,3,5,4] => [6,1,7,2,5,8,3,4] => 0000111
[6,3,5,7,2,8,1,4] => [8,7,6,1,3,5,2,4] => [6,1,5,7,3,8,2,4] => 0000111
[6,2,4,5,1,7,8,3] => [5,6,8,2,4,1,7,3] => [7,8,2,4,6,1,5,3] => 0001101
[2,6,7,5,8,1,3,4] => [8,2,1,3,7,6,5,4] => [2,6,7,5,8,1,3,4] => 0000011
[5,4,2,6,1,7,8,3] => [6,4,5,8,3,1,7,2] => [7,8,3,5,4,1,6,2] => 0011101
[5,6,4,1,2,7,8,3] => [4,1,6,8,5,3,7,2] => [5,7,8,3,6,4,1,2] => 0010101
[6,4,5,1,2,7,8,3] => [5,1,8,6,4,2,7,3] => [6,4,7,8,1,2,5,3] => 0001101
[5,4,6,3,1,7,8,2] => [3,6,8,5,4,2,7,1] => [5,4,7,8,2,6,3,1] => 0101101
[7,5,3,2,4,8,1,6] => [8,3,5,2,7,1,4,6] => [7,5,3,2,8,1,4,6] => 0101011
[7,5,4,2,1,6,8,3] => [2,4,5,7,8,1,6,3] => [8,2,1,6,7,5,4,3] => 1011011
[7,4,3,5,6,1,8,2] => [6,8,4,7,3,5,1,2] => [7,4,3,5,8,1,6,2] => 0010111
[5,6,3,7,4,1,8,2] => [4,7,8,6,5,1,2,3] => [5,6,1,8,2,7,4,3] => 0010111
[5,6,7,3,1,8,2,4] => [3,7,8,1,5,6,2,4] => [5,6,8,1,7,3,2,4] => 0100011
[5,6,3,7,8,1,2,4] => [8,1,6,2,5,3,7,4] => [5,6,1,2,7,8,3,4] => 0000101
[5,6,3,7,2,4,8,1] => [8,7,6,2,5,3,4,1] => [5,6,2,7,3,4,8,1] => 0000111
[5,6,7,2,3,8,1,4] => [8,7,2,1,5,6,3,4] => [5,6,7,2,8,1,3,4] => 0000011
[7,6,4,2,1,3,8,5] => [2,4,1,6,7,8,5,3] => [8,5,7,6,4,2,1,3] => 1010111
[7,6,3,4,1,2,8,5] => [4,1,6,3,7,8,5,2] => [8,5,7,6,3,4,1,2] => 0010111
[7,6,3,2,4,1,8,5] => [4,3,6,2,7,8,5,1] => [8,5,7,6,3,2,4,1] => 0110111
[6,7,3,2,5,1,8,4] => [5,3,7,8,2,6,1,4] => [6,8,3,2,7,1,5,4] => 0101011
[6,4,5,2,7,3,8,1] => [8,5,7,6,4,2,3,1] => [6,4,7,2,5,3,8,1] => 0001111
[6,4,5,2,7,8,1,3] => [8,5,1,6,4,2,7,3] => [6,4,5,1,7,8,2,3] => 0001101
[7,4,5,6,1,2,8,3] => [6,1,8,7,4,5,2,3] => [7,4,5,8,1,2,6,3] => 0000111
[6,5,7,2,1,8,3,4] => [2,7,8,3,6,5,1,4] => [6,5,8,3,7,2,1,4] => 1000111
[5,4,6,7,3,1,8,2] => [3,7,8,5,4,6,2,1] => [5,4,6,8,2,7,3,1] => 0101011
[3,7,8,5,6,4,1,2] => [4,1,3,6,8,5,7,2] => [3,7,8,5,6,4,1,2] => 0010101
[1,7,8,5,6,3,4,2] => [1,4,6,3,8,5,7,2] => [1,7,8,5,6,3,4,2] => 0010101
[1,7,5,8,6,3,4,2] => [1,4,6,3,8,7,2,5] => [1,7,3,4,2,8,6,5] => 0010111
[5,7,3,8,6,4,1,2] => [4,1,6,8,5,7,3,2] => [5,7,3,8,6,4,1,2] => 0010111
[7,3,8,5,6,4,1,2] => [4,1,6,7,8,5,2,3] => [8,5,7,1,2,6,4,3] => 0010111
[7,3,5,8,6,4,1,2] => [4,1,6,8,3,7,5,2] => [7,3,5,8,6,4,1,2] => 0010111
[3,5,7,8,6,4,1,2] => [4,1,3,6,5,8,7,2] => [3,5,7,8,6,4,1,2] => 0010101
[1,5,7,8,6,3,4,2] => [1,4,6,3,5,8,7,2] => [1,5,7,8,6,3,4,2] => 0010101
[3,5,7,8,1,6,4,2] => [8,4,3,6,5,1,7,2] => [3,5,6,4,1,7,8,2] => 0010101
[5,3,7,8,1,6,4,2] => [8,4,6,5,2,1,7,3] => [5,2,6,4,1,7,8,3] => 0011101
[7,3,5,8,6,1,4,2] => [6,4,8,3,1,7,5,2] => [7,3,4,1,5,8,6,2] => 0010111
[7,1,8,5,6,3,4,2] => [7,4,6,3,8,5,1,2] => [8,5,6,3,4,1,7,2] => 0010111
[5,1,7,8,3,6,4,2] => [5,4,6,8,1,2,7,3] => [7,8,1,6,4,2,5,3] => 0011101
[1,3,7,8,5,6,4,2] => [1,4,3,6,8,5,7,2] => [1,3,7,8,5,6,4,2] => 0010101
[3,1,7,5,8,6,4,2] => [3,4,1,6,8,7,2,5] => [7,4,1,3,2,8,6,5] => 0110111
[7,1,5,3,8,6,4,2] => [7,4,6,5,1,8,2,3] => [5,1,8,6,4,2,7,3] => 0011111
[7,8,3,5,1,6,4,2] => [5,4,6,8,2,1,7,3] => [7,8,2,6,4,1,5,3] => 0011101
[5,3,7,1,8,6,4,2] => [7,4,6,5,2,8,1,3] => [5,2,8,6,4,1,7,3] => 0011111
[1,7,5,3,8,6,4,2] => [1,4,6,5,8,7,3,2] => [1,7,5,3,8,6,4,2] => 0011111
[5,7,3,8,6,1,4,2] => [6,4,8,3,5,7,1,2] => [5,7,3,4,1,8,6,2] => 0010111
[1,7,5,8,3,6,4,2] => [1,4,6,8,7,2,5,3] => [1,7,2,8,5,6,4,3] => 0010111
[1,7,8,5,3,6,4,2] => [1,4,6,5,8,2,7,3] => [1,7,8,5,2,6,4,3] => 0011101
[3,7,8,5,1,6,4,2] => [5,4,3,8,6,2,7,1] => [3,6,4,2,7,8,5,1] => 0011101
[5,7,8,1,6,3,4,2] => [8,4,6,3,5,1,7,2] => [5,6,3,4,1,7,8,2] => 0010101
[7,5,1,8,6,3,4,2] => [5,4,7,1,6,8,3,2] => [8,6,1,4,3,7,5,2] => 0011111
[7,5,8,1,6,3,4,2] => [8,4,6,3,7,1,5,2] => [7,3,4,1,6,5,8,2] => 0010111
[7,8,5,1,3,6,4,2] => [5,4,2,8,6,3,7,1] => [6,4,2,3,7,8,5,1] => 0011101
[7,5,1,8,3,6,4,2] => [5,4,7,6,8,1,3,2] => [8,1,6,4,3,7,5,2] => 0011111
[5,7,1,3,8,6,4,2] => [7,4,1,6,5,8,3,2] => [5,8,6,4,1,3,7,2] => 0010111
[1,7,3,5,8,6,4,2] => [1,4,6,8,3,7,5,2] => [1,7,3,5,8,6,4,2] => 0010111
[1,5,3,7,8,6,4,2] => [1,4,6,5,2,8,7,3] => [1,5,2,7,8,6,4,3] => 0011101
[3,5,1,7,8,6,4,2] => [5,4,3,6,1,8,7,2] => [3,7,8,6,4,1,5,2] => 0011101
[5,3,1,7,8,6,4,2] => [3,5,4,6,2,8,7,1] => [7,8,6,4,2,5,3,1] => 0111101
[7,1,3,5,8,6,4,2] => [7,4,1,6,3,8,5,2] => [8,6,4,1,3,5,7,2] => 0010111
[5,7,3,4,6,8,1,2] => [8,1,7,3,5,4,6,2] => [5,7,3,4,6,8,1,2] => 0000011
[5,7,3,4,8,1,6,2] => [8,6,7,3,5,1,4,2] => [5,7,3,6,1,4,8,2] => 0000111
[5,7,3,1,4,6,8,2] => [3,7,8,2,5,4,6,1] => [5,8,2,4,6,7,3,1] => 0100011
[5,7,3,1,4,8,6,2] => [3,7,6,2,5,8,4,1] => [5,8,6,2,4,7,3,1] => 0100111
[7,8,3,5,1,2,6,4] => [5,1,8,6,3,2,7,4] => [6,3,7,8,1,2,5,4] => 0001101
[7,3,8,5,1,2,6,4] => [5,1,8,7,6,3,4,2] => [6,3,7,4,8,5,1,2] => 0001111
[6,1,4,3,5,2,8,7] => [6,5,4,1,3,2,8,7] => [4,1,5,3,6,2,8,7] => 0011101
[2,5,7,3,8,4,1,6] => [4,2,8,7,5,3,1,6] => [2,5,7,3,8,4,1,6] => 0010011
[5,4,7,8,6,1,3,2] => [6,3,1,5,4,8,7,2] => [3,1,5,4,7,8,6,2] => 0101101
[7,5,6,2,8,3,1,4] => [3,8,6,2,7,5,1,4] => [7,5,6,2,8,3,1,4] => 0100111
[4,7,2,5,8,3,1,6] => [3,8,7,4,1,2,5,6] => [4,7,1,8,3,2,5,6] => 0100011
[5,1,4,6,3,2,8,7] => [5,3,6,1,4,2,8,7] => [6,3,1,4,5,2,8,7] => 0101101
[3,5,6,2,4,1,8,7] => [4,6,3,2,5,1,8,7] => [3,5,6,2,4,1,8,7] => 0010101
[3,8,6,7,5,4,1,2] => [4,1,3,5,7,8,6,2] => [3,8,6,7,5,4,1,2] => 0011011
[8,7,1,2,5,3,4,6] => [7,1,5,3,2,4,8,6] => [5,3,8,7,1,2,4,6] => 0001011
[5,4,7,6,2,8,1,3] => [8,6,1,5,4,7,2,3] => [5,4,7,6,1,8,2,3] => 0001111
[8,3,6,5,7,1,4,2] => [7,4,8,1,6,3,5,2] => [6,1,4,3,8,5,7,2] => 0010111
[4,7,2,6,3,8,5,1] => [5,8,7,4,6,3,1,2] => [4,6,3,7,1,8,5,2] => 0001111
[2,1,8,4,6,7,3,5] => [2,1,7,8,3,4,6,5] => [2,1,8,3,6,7,4,5] => 1000011
[6,7,2,4,8,5,3,1] => [3,5,8,2,7,6,4,1] => [6,7,2,4,8,5,3,1] => 0101011
[8,2,1,7,6,3,5,4] => [2,8,6,5,3,7,1,4] => [5,3,7,6,2,1,8,4] => 1001111
[4,2,3,1,8,7,5,6] => [3,4,2,1,7,5,8,6] => [4,2,3,1,8,7,5,6] => 0110011
[6,7,5,2,3,1,8,4] => [3,5,2,7,8,6,4,1] => [6,8,4,7,5,2,3,1] => 0101011
[6,4,2,1,8,5,7,3] => [2,4,6,7,8,3,5,1] => [8,3,7,5,6,4,2,1] => 1010111
[2,1,7,3,6,8,5,4] => [2,1,7,5,8,3,6,4] => [2,1,8,5,3,6,7,4] => 1001011
[2,1,5,7,8,4,6,3] => [2,1,6,8,5,4,7,3] => [2,1,5,7,8,4,6,3] => 1000101
[2,5,7,8,3,6,1,4] => [6,2,8,1,5,3,7,4] => [2,5,7,8,1,6,3,4] => 0000101
[6,4,1,5,7,2,8,3] => [4,6,7,8,2,5,3,1] => [8,2,5,7,3,6,4,1] => 0010111
[6,8,3,4,2,1,7,5] => [2,4,8,3,7,6,1,5] => [6,7,3,4,2,1,8,5] => 1010011
[6,5,8,3,7,4,1,2] => [4,1,7,8,6,5,2,3] => [6,5,8,1,2,7,4,3] => 0010111
[6,8,7,5,3,4,1,2] => [4,1,5,3,7,6,8,2] => [6,8,7,5,3,4,1,2] => 0011011
[3,5,7,2,8,6,1,4] => [6,8,3,2,5,7,1,4] => [3,5,7,2,8,6,1,4] => 0000111
[2,5,7,4,8,6,1,3] => [6,2,1,8,5,7,3,4] => [2,5,7,1,3,8,6,4] => 0000111
[1,6,3,7,5,2,8,4] => [1,5,7,6,8,4,3,2] => [1,8,4,6,3,7,5,2] => 0001111
[2,6,4,8,7,5,1,3] => [5,2,1,7,6,3,8,4] => [2,6,1,3,8,7,5,4] => 0001111
[6,3,7,2,8,5,1,4] => [5,8,7,2,6,1,3,4] => [6,2,7,1,8,5,3,4] => 0001111
[5,2,8,4,7,6,1,3] => [6,5,1,7,2,8,3,4] => [8,1,5,2,3,7,6,4] => 0001111
[7,2,4,8,6,5,1,3] => [5,6,1,2,8,7,4,3] => [7,1,4,8,6,5,2,3] => 0001111
[4,2,7,3,8,1,6,5] => [8,4,7,2,6,1,3,5] => [6,2,4,1,7,3,8,5] => 0010111
[6,1,3,8,7,2,5,4] => [6,7,1,5,2,3,8,4] => [5,1,8,7,2,3,6,4] => 0001111
[1,2,4,6,3,8,7,5] => [1,2,6,4,7,3,8,5] => [1,2,4,8,7,3,6,5] => 0000111
[4,1,5,2,8,7,6,3] => [4,5,6,1,2,7,8,3] => [8,7,6,1,5,2,4,3] => 0011111
[5,1,3,7,2,8,6,4] => [5,7,1,6,3,8,2,4] => [8,6,1,3,7,2,5,4] => 0001111
[2,6,1,4,3,8,7,5] => [6,2,4,1,7,3,8,5] => [2,4,1,8,7,3,6,5] => 0010111
[7,2,3,5,1,8,6,4] => [5,7,2,6,3,8,1,4] => [8,6,2,3,7,1,5,4] => 0001111
[7,3,4,1,8,6,5,2] => [4,5,6,3,8,7,1,2] => [7,3,8,6,5,1,4,2] => 0011111
[6,3,4,1,8,7,5,2] => [4,5,7,2,6,1,8,3] => [6,2,8,7,5,1,4,3] => 0011111
[3,4,5,1,8,7,6,2] => [5,6,3,4,1,7,8,2] => [3,4,8,7,6,1,5,2] => 0001111
[1,6,4,2,8,7,5,3] => [1,4,6,5,7,3,8,2] => [1,8,7,5,3,6,4,2] => 0011111
[5,6,3,1,8,7,4,2] => [3,6,4,7,5,2,8,1] => [5,8,7,4,2,6,3,1] => 0110111
[7,4,2,5,1,8,6,3] => [5,4,7,6,3,8,1,2] => [8,6,3,7,4,1,5,2] => 0011111
[5,3,6,2,8,1,7,4] => [8,6,5,7,3,2,1,4] => [7,3,5,2,6,1,8,4] => 0001111
[3,6,2,5,1,4,8,7] => [5,6,3,1,2,4,8,7] => [3,6,1,5,2,4,8,7] => 0001101
[5,2,8,4,1,3,7,6] => [4,8,2,5,1,7,3,6] => [5,2,7,4,1,3,8,6] => 0011011
[2,4,8,7,1,3,6,5] => [7,2,1,4,6,3,8,5] => [2,4,6,1,3,8,7,5] => 0000111
[2,3,8,1,4,7,6,5] => [8,2,3,1,6,7,4,5] => [2,3,7,6,1,4,8,5] => 0000111
[1,3,8,2,4,7,6,5] => [1,8,3,2,6,7,4,5] => [1,3,7,6,2,4,8,5] => 0000111
[3,4,1,7,2,8,6,5] => [4,7,3,1,6,8,2,5] => [3,8,6,1,4,2,7,5] => 0010111
[3,5,2,1,7,4,8,6] => [2,5,3,7,1,8,4,6] => [3,8,2,1,5,4,7,6] => 1001011
[6,3,1,7,2,8,5,4] => [3,6,7,5,8,2,1,4] => [8,5,2,7,3,1,6,4] => 0101111
[7,5,1,2,8,6,4,3] => [5,1,4,7,6,8,3,2] => [8,6,4,3,7,5,1,2] => 0011111
[4,6,1,2,8,7,5,3] => [6,1,5,4,7,2,8,3] => [4,8,7,5,1,2,6,3] => 0001111
[6,4,1,2,8,7,5,3] => [4,1,6,5,7,3,8,2] => [8,7,5,3,6,4,1,2] => 0011111
[5,3,1,7,2,8,6,4] => [3,5,7,6,2,8,1,4] => [8,6,2,7,3,1,5,4] => 0101111
[5,2,8,1,3,7,6,4] => [8,5,1,6,2,7,3,4] => [7,6,1,5,2,3,8,4] => 0001111
[4,1,2,8,3,7,6,5] => [4,1,8,2,6,7,3,5] => [7,6,1,2,4,3,8,5] => 0010111
[1,3,7,4,5,8,6,2] => [1,6,3,8,2,7,5,4] => [1,3,7,2,5,8,6,4] => 0000111
[8,3,7,4,6,5,1,2] => [5,1,6,8,7,2,4,3] => [7,1,2,8,4,6,5,3] => 0001111
[4,8,7,5,6,3,1,2] => [3,1,6,4,7,5,8,2] => [4,8,7,5,6,3,1,2] => 0100111
[8,6,5,2,1,4,3,7] => [2,5,4,1,6,8,3,7] => [4,2,1,8,6,5,3,7] => 1011101
[2,7,6,3,1,4,5,8] => [3,2,6,1,4,7,5,8] => [2,7,6,3,1,4,5,8] => 0100110
[2,7,6,4,5,1,3,8] => [5,2,1,6,4,7,3,8] => [2,7,6,4,5,1,3,8] => 0001110
[5,7,2,6,4,1,3,8] => [4,6,2,7,5,1,3,8] => [5,7,2,6,4,1,3,8] => 0010110
[6,1,3,7,5,8,4,2] => [6,4,1,8,7,3,5,2] => [7,4,1,3,8,5,6,2] => 0010111
[4,1,7,3,6,8,5,2] => [4,5,8,1,7,2,6,3] => [7,1,6,8,5,2,4,3] => 0011011
[8,1,6,4,3,7,5,2] => [8,5,4,7,6,1,2,3] => [6,4,1,7,5,2,8,3] => 0011111
[2,1,7,4,8,6,3,5] => [2,1,6,8,4,7,3,5] => [2,1,7,4,8,6,3,5] => 1000111
[2,1,3,8,4,7,5,6] => [2,1,3,8,7,5,4,6] => [2,1,3,7,5,8,4,6] => 1000011
[8,1,2,7,4,3,6,5] => [8,1,4,7,6,3,2,5] => [6,4,3,7,1,2,8,5] => 0010111
[5,3,1,6,8,4,7,2] => [3,5,7,8,2,6,4,1] => [6,8,2,7,4,5,3,1] => 0101011
[6,2,8,7,1,4,3,5] => [7,6,4,1,3,2,8,5] => [4,1,6,3,8,7,2,5] => 0010111
[8,7,2,1,5,4,3,6] => [2,7,4,5,1,3,8,6] => [5,4,2,1,8,7,3,6] => 1011011
[2,4,8,3,1,5,6,7] => [3,2,8,4,1,5,6,7] => [2,4,8,3,1,5,6,7] => 0100001
[3,4,2,7,1,5,6,8] => [7,4,3,2,1,5,6,8] => [3,4,2,7,1,5,6,8] => 0010010
[5,2,7,3,1,4,6,8] => [3,7,5,2,1,4,6,8] => [5,2,7,3,1,4,6,8] => 0101010
[1,3,7,2,8,4,6,5] => [1,7,3,8,6,4,2,5] => [1,3,6,4,8,2,7,5] => 0000111
[6,5,3,8,2,1,4,7] => [2,8,5,1,6,3,4,7] => [6,5,2,1,8,3,4,7] => 1001101
[7,6,3,1,8,4,5,2] => [3,6,5,7,2,8,4,1] => [8,2,5,4,7,6,3,1] => 0101111
[7,6,2,1,8,5,3,4] => [2,6,5,1,7,8,3,4] => [8,5,2,1,7,6,3,4] => 1001111
[6,5,1,2,8,3,7,4] => [5,1,6,8,7,3,4,2] => [7,3,8,4,6,5,1,2] => 0001111
[6,8,4,1,3,7,5,2] => [4,8,2,5,7,6,3,1] => [6,7,5,2,3,8,4,1] => 0011011
[6,5,7,1,3,8,4,2] => [7,4,1,8,6,5,3,2] => [6,5,8,4,1,3,7,2] => 0010111
[1,2,8,7,6,3,5,4] => [1,2,6,5,3,7,8,4] => [1,2,5,3,8,7,6,4] => 0001111
[2,3,1,8,7,4,5,6] => [3,2,1,7,4,5,8,6] => [2,3,1,8,7,4,5,6] => 0100011
[2,4,1,8,5,7,3,6] => [4,2,7,1,8,3,5,6] => [2,8,1,4,3,7,5,6] => 0010011
[8,7,1,6,5,4,3,2] => [7,3,4,5,6,1,8,2] => [6,5,4,3,1,8,7,2] => 0111111
[4,1,8,7,5,6,3,2] => [4,3,6,1,7,5,8,2] => [8,7,5,6,3,1,4,2] => 0110111
[6,1,2,3,4,5,8,9,7] => [6,1,2,3,4,5,9,8,7] => [6,1,2,3,4,5,8,9,7] => 00001001
[2,1,7,8,4,6,3,5] => [2,1,6,8,3,4,7,5] => [2,1,7,8,3,6,4,5] => 1000101
[8,6,3,7,5,2,1,4] => [2,5,7,3,6,8,1,4] => [8,6,3,7,5,2,1,4] => 1001111
[3,5,7,8,2,6,1,4] => [6,8,3,1,5,2,7,4] => [3,5,7,8,1,6,2,4] => 0000101
[8,2,3,4,6,1,5,7] => [6,8,2,3,1,4,5,7] => [8,2,3,6,1,4,5,7] => 0000101
[7,8,3,6,5,1,4,2] => [5,4,6,3,8,1,7,2] => [7,8,3,4,1,6,5,2] => 0011101
[5,2,3,4,6,8,1,7] => [8,5,2,3,4,6,1,7] => [5,2,3,4,6,8,1,7] => 0001001
[4,2,8,5,7,6,1,3] => [6,4,1,2,7,8,3,5] => [4,1,8,2,3,7,6,5] => 0010111
[8,7,3,6,5,1,2,4] => [5,1,6,3,7,2,8,4] => [8,7,3,6,5,1,2,4] => 0001111
[8,2,7,5,1,6,3,4] => [5,7,8,1,6,2,3,4] => [6,1,8,2,7,5,3,4] => 0001111
[4,2,7,5,8,6,3,1] => [3,6,4,1,8,7,2,5] => [4,1,7,3,2,8,6,5] => 0110111
[5,8,1,7,3,6,4,2] => [8,4,6,7,5,2,1,3] => [5,7,2,6,4,1,8,3] => 0010111
[5,2,7,8,4,6,3,1] => [3,6,5,8,1,4,7,2] => [7,8,1,5,4,6,3,2] => 0101101
[8,2,7,3,1,6,4,5] => [3,7,8,6,4,2,1,5] => [6,4,8,2,7,3,1,5] => 0100111
[6,8,3,2,5,7,1,4] => [7,3,8,1,2,6,5,4] => [6,8,3,1,5,7,2,4] => 0100011
[7,2,3,4,1,8,6,5] => [4,7,2,3,6,8,1,5] => [8,6,2,3,4,1,7,5] => 0010111
[7,2,3,4,1,5,8,6] => [4,7,2,3,1,8,5,6] => [8,2,3,4,1,5,7,6] => 0010011
[1,2,3,4,8,7,5,6] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,7,5,6] => 0000011
[1,2,8,5,3,4,6,7] => [1,2,5,3,8,4,6,7] => [1,2,8,5,3,4,6,7] => 0001001
[1,8,4,2,3,5,6,7] => [1,4,2,8,3,5,6,7] => [1,8,4,2,3,5,6,7] => 0010001
[6,4,8,5,1,7,3,2] => [5,3,8,7,6,1,2,4] => [6,3,1,7,2,8,5,4] => 0101111
[4,8,5,7,1,6,3,2] => [7,3,6,4,8,1,5,2] => [4,8,3,1,6,5,7,2] => 0100111
[1,6,4,8,5,2,7,3] => [1,5,8,7,6,2,3,4] => [1,6,2,7,3,8,5,4] => 0001111
[8,7,5,1,2,4,6,3] => [5,1,7,3,6,4,8,2] => [6,3,4,8,7,5,1,2] => 0001111
[3,5,8,7,1,2,6,4] => [7,1,3,6,5,2,8,4] => [3,5,6,1,2,8,7,4] => 0000111
[2,3,8,5,7,1,6,4] => [7,2,3,6,8,1,5,4] => [2,3,8,1,6,5,7,4] => 0000111
[3,2,8,6,7,5,1,4] => [5,3,2,1,7,8,6,4] => [3,2,8,6,7,5,1,4] => 0101011
[2,8,7,1,5,6,3,4] => [7,2,6,3,1,5,8,4] => [2,6,3,5,8,7,1,4] => 0000111
[1,6,2,8,4,7,5,3] => [1,6,5,7,8,2,3,4] => [1,8,2,7,5,3,6,4] => 0001111
[1,3,8,5,7,2,6,4] => [1,7,3,6,8,2,5,4] => [1,3,8,2,6,5,7,4] => 0000111
[2,8,7,1,3,5,6,4] => [7,2,1,6,3,5,8,4] => [2,6,1,3,5,8,7,4] => 0000111
[7,1,8,2,3,5,6,4] => [7,8,2,6,3,5,1,4] => [6,2,3,5,8,1,7,4] => 0000111
[4,8,3,6,1,7,5,2] => [6,5,7,4,8,2,1,3] => [4,8,2,7,5,1,6,3] => 0001111
[8,3,4,7,5,1,6,2] => [5,7,6,1,8,2,4,3] => [8,1,6,2,4,7,5,3] => 0001111
[8,7,5,1,6,2,3,4] => [5,7,1,3,6,2,8,4] => [6,1,3,8,7,5,2,4] => 0001111
[4,8,6,1,7,2,5,3] => [6,8,5,4,1,7,2,3] => [4,5,1,7,2,8,6,3] => 0001111
[8,2,7,1,6,3,4,5] => [7,8,6,3,4,1,2,5] => [6,3,4,8,1,7,2,5] => 0000111
[8,7,2,1,3,5,6,4] => [2,7,1,6,3,5,8,4] => [6,2,1,3,5,8,7,4] => 1000111
[8,2,7,3,6,1,4,5] => [6,8,7,1,4,3,2,5] => [7,1,4,8,3,6,2,5] => 0000111
[1,8,7,3,6,2,4,5] => [1,6,7,2,4,3,8,5] => [1,8,7,2,4,6,3,5] => 0000111
[1,8,2,7,6,3,4,5] => [1,8,6,3,4,7,2,5] => [1,7,6,3,4,8,2,5] => 0000111
[8,7,3,1,5,6,2,4] => [3,7,6,1,2,5,8,4] => [6,1,5,8,7,3,2,4] => 0100111
[2,8,7,3,5,6,1,4] => [6,2,7,1,3,5,8,4] => [2,8,7,1,5,6,3,4] => 0000111
[1,2,8,6,7,5,3,4] => [1,2,5,3,7,8,6,4] => [1,2,8,6,7,5,3,4] => 0001011
[1,8,3,6,7,5,2,4] => [1,5,7,3,8,2,6,4] => [1,8,3,6,7,5,2,4] => 0001011
[8,2,3,6,7,5,1,4] => [5,7,1,2,8,3,6,4] => [8,1,6,7,5,2,3,4] => 0001011
[8,4,1,2,7,5,6,3] => [4,1,8,6,7,5,3,2] => [7,5,6,3,8,4,1,2] => 0010111
[8,1,4,2,6,7,5,3] => [8,4,5,1,7,2,6,3] => [7,5,1,4,2,6,8,3] => 0011011
[1,2,8,6,7,3,5,4] => [1,2,7,5,3,8,6,4] => [1,2,5,3,8,6,7,4] => 0001011
[8,1,2,7,3,6,4,5] => [8,1,7,6,4,3,2,5] => [6,4,7,3,8,1,2,5] => 0000111
[1,7,8,2,3,6,5,4] => [1,8,2,5,6,3,7,4] => [1,6,5,2,3,7,8,4] => 0001101
[8,3,7,1,2,5,6,4] => [7,1,8,6,2,5,3,4] => [6,1,2,5,8,3,7,4] => 0000111
[2,8,6,4,3,5,7,1] => [7,2,4,6,3,8,5,1] => [2,8,6,4,3,5,7,1] => 0010111
[2,6,8,3,5,4,7,1] => [7,2,8,5,3,6,4,1] => [2,5,3,6,8,4,7,1] => 0001011
[8,4,2,7,6,1,3,5] => [6,4,2,7,3,8,1,5] => [8,4,2,3,7,6,1,5] => 0010111
[3,1,6,8,7,5,2,4] => [3,5,1,2,7,6,8,4] => [6,8,7,5,1,3,2,4] => 0101011
[6,3,8,7,5,2,4,1] => [4,5,7,3,6,2,8,1] => [6,3,8,7,5,2,4,1] => 0011111
[7,3,5,8,4,2,6,1] => [6,4,8,7,2,3,5,1] => [7,2,8,4,3,5,6,1] => 0010111
[7,3,6,4,2,8,5,1] => [5,4,8,6,7,1,2,3] => [7,1,6,4,2,8,5,3] => 0011111
[7,8,3,6,2,5,4,1] => [4,5,6,8,3,1,7,2] => [7,8,3,6,1,5,4,2] => 0011101
[8,7,4,6,3,2,5,1] => [5,3,6,7,2,4,8,1] => [8,7,3,2,6,4,5,1] => 0101111
[7,8,5,2,1,4,3,6] => [2,5,4,1,8,3,7,6] => [4,2,1,7,8,5,3,6] => 1011001
[4,6,5,8,1,3,2,7] => [8,3,1,4,6,5,2,7] => [3,1,4,6,5,8,2,7] => 0100101
[4,7,1,5,3,8,2,6] => [7,8,5,4,1,2,3,6] => [4,5,1,8,2,7,3,6] => 0001011
[4,7,8,1,3,6,2,5] => [8,6,1,4,2,3,7,5] => [4,6,1,7,8,2,3,5] => 0000101
[5,8,1,3,2,4,6,7] => [8,3,1,2,5,4,6,7] => [3,1,5,8,2,4,6,7] => 0100001
[8,4,6,2,1,3,7,5] => [2,6,1,8,7,4,3,5] => [7,4,8,2,1,3,6,5] => 1000111
[5,4,8,7,3,1,2,6] => [3,1,7,5,4,2,8,6] => [5,4,8,7,3,1,2,6] => 0101011
[5,7,4,2,8,3,6,1] => [6,4,7,8,5,2,3,1] => [5,8,2,7,4,3,6,1] => 0010111
[6,5,3,4,1,2,8,7] => [4,1,5,3,6,2,8,7] => [6,5,3,4,1,2,8,7] => 0011101
[9,8,7,6,5,2,3,1,4] => [3,5,2,1,6,7,8,9,4] => [9,8,7,6,5,2,3,1,4] => 01011111
[7,4,2,6,1,5,3,8] => [6,4,7,5,1,3,2,8] => [5,1,7,4,3,6,2,8] => 0011110
[5,3,7,2,8,6,4,1] => [4,6,8,5,1,7,2,3] => [5,1,7,2,8,6,4,3] => 0011111
[6,4,3,1,8,2,7,5] => [3,4,6,8,7,1,2,5] => [7,1,8,4,3,2,6,5] => 0110111
[5,3,7,8,2,6,4,1] => [4,6,8,5,1,3,7,2] => [5,1,7,8,3,6,4,2] => 0011101
[5,7,8,4,6,2,1,3] => [2,6,1,8,5,4,7,3] => [5,7,8,4,6,2,1,3] => 1000101
[5,8,6,4,7,2,1,3] => [2,7,1,6,5,8,4,3] => [5,8,6,4,7,2,1,3] => 1000111
[5,3,8,6,2,7,4,1] => [4,7,6,5,1,8,3,2] => [5,1,8,6,3,7,4,2] => 0011111
[4,8,6,7,5,3,2,1] => [2,3,5,4,7,8,6,1] => [4,8,6,7,5,3,2,1] => 1101011
[6,3,8,7,2,4,1,5] => [4,7,6,2,1,3,8,5] => [6,2,8,7,1,4,3,5] => 0010111
[5,3,8,7,2,6,4,1] => [4,6,7,5,1,3,8,2] => [5,1,8,7,3,6,4,2] => 0011111
[5,3,8,6,7,2,4,1] => [4,7,5,2,3,8,6,1] => [5,2,8,6,7,3,4,1] => 0011011
[5,3,7,8,6,2,4,1] => [4,6,5,2,3,8,7,1] => [5,2,7,8,6,3,4,1] => 0011101
[5,7,6,4,8,2,1,3] => [2,8,1,6,5,7,4,3] => [5,7,6,4,8,2,1,3] => 1000111
[5,8,4,6,7,2,1,3] => [2,7,1,8,5,4,6,3] => [5,8,4,6,7,2,1,3] => 1000011
[6,4,2,8,1,7,3,5] => [8,4,6,7,2,3,1,5] => [7,2,6,4,3,8,1,5] => 0010111
[5,4,6,2,8,7,1,3] => [7,6,1,5,4,2,8,3] => [5,4,6,1,8,7,2,3] => 0001111
[6,7,4,3,1,8,2,5] => [3,4,7,8,2,6,1,5] => [6,8,2,7,4,3,1,5] => 0110011
[5,7,3,8,6,2,4,1] => [4,6,8,3,5,7,2,1] => [5,7,3,8,6,2,4,1] => 0010111
[5,4,6,8,2,7,1,3] => [7,8,1,5,4,6,2,3] => [5,4,6,8,1,7,2,3] => 0001011
[5,7,8,2,6,4,1,3] => [4,6,2,8,5,1,7,3] => [5,7,8,2,6,4,1,3] => 0010101
[1,7,4,8,6,2,3,5] => [1,6,2,8,4,7,3,5] => [1,7,4,8,6,2,3,5] => 0000111
[3,6,2,5,7,8,1,4] => [8,6,3,1,2,5,7,4] => [3,6,1,5,7,8,2,4] => 0000101
[5,2,7,4,6,8,1,3] => [8,5,1,7,2,4,6,3] => [7,1,5,4,6,8,2,3] => 0001011
[5,3,6,7,1,8,4,2] => [7,4,8,5,2,6,1,3] => [5,2,6,8,4,1,7,3] => 0011011
[4,2,5,6,7,1,8,3] => [7,4,8,2,5,6,1,3] => [5,6,8,2,4,1,7,3] => 0010011
[7,2,6,3,5,1,8,4] => [5,7,6,8,3,2,1,4] => [8,3,6,2,7,1,5,4] => 0001111
[8,1,3,6,7,2,4,5] => [8,7,1,2,4,3,6,5] => [7,1,4,6,8,2,3,5] => 0000011
[6,1,3,8,2,7,4,5] => [6,8,1,7,4,3,2,5] => [7,4,8,1,3,6,2,5] => 0000111
[3,6,2,4,1,7,8,5] => [4,6,3,2,8,1,7,5] => [3,7,8,2,4,1,6,5] => 0010101
[6,2,7,3,1,5,8,4] => [3,7,6,8,2,1,5,4] => [8,2,6,3,1,5,7,4] => 0100111
[6,3,4,1,8,5,7,2] => [4,7,6,3,8,1,5,2] => [8,3,6,5,7,1,4,2] => 0010111
[7,3,4,1,5,8,6,2] => [4,6,8,2,1,7,5,3] => [7,2,5,8,6,1,4,3] => 0010111
[5,6,3,1,7,8,4,2] => [3,6,4,8,5,2,7,1] => [5,7,8,4,2,6,3,1] => 0110101
[4,7,1,8,2,6,3,5] => [7,8,6,4,3,2,1,5] => [4,6,3,8,2,7,1,5] => 0000111
[6,3,1,8,5,2,4,7] => [3,6,5,1,8,2,4,7] => [8,5,1,6,3,2,4,7] => 0101101
[7,5,1,2,3,8,6,4] => [5,1,2,7,6,8,4,3] => [8,6,4,7,5,1,2,3] => 0001111
[7,8,2,3,1,5,4,6] => [3,8,2,5,1,4,7,6] => [5,2,3,1,7,8,4,6] => 0101001
[7,8,2,4,1,5,3,6] => [4,8,5,2,1,3,7,6] => [5,2,7,8,1,4,3,6] => 0011001
[1,4,2,6,5,7,3,8] => [1,4,7,2,6,5,3,8] => [1,6,5,7,2,4,3,8] => 0010110
[5,6,1,4,2,7,3,8] => [6,4,7,1,5,2,3,8] => [5,7,1,4,2,6,3,8] => 0010110
[6,7,3,5,4,8,1,2] => [8,1,7,5,3,6,4,2] => [5,3,6,7,4,8,1,2] => 0001011
[1,5,2,6,4,7,3,8] => [1,5,7,6,2,4,3,8] => [1,6,2,7,4,5,3,8] => 0001110
[3,6,5,7,4,8,1,2] => [8,1,3,7,6,5,4,2] => [3,6,5,7,4,8,1,2] => 0000111
[4,5,3,6,1,7,2,8] => [6,7,5,4,3,1,2,8] => [4,5,3,7,1,6,2,8] => 0001110
[6,7,5,8,1,3,2,4] => [8,3,1,2,7,6,5,4] => [3,1,6,7,5,8,2,4] => 0100011
[4,5,1,3,2,7,6,8] => [5,3,1,4,2,7,6,8] => [3,1,4,5,2,7,6,8] => 0101010
[1,4,3,6,2,7,5,8] => [1,6,4,3,7,2,5,8] => [1,4,3,7,2,6,5,8] => 0010110
[4,5,2,3,1,7,6,8] => [3,5,2,4,1,7,6,8] => [4,5,2,3,1,7,6,8] => 0101010
[4,5,3,7,6,8,1,2] => [8,1,5,4,3,7,6,2] => [4,5,3,7,6,8,1,2] => 0001011
[4,6,5,7,3,8,1,2] => [8,1,7,4,6,5,3,2] => [4,6,5,7,3,8,1,2] => 0000111
[4,6,5,7,2,3,1,8] => [3,7,2,4,6,5,1,8] => [4,6,5,7,2,3,1,8] => 0100110
[3,5,4,6,1,7,2,8] => [6,7,3,5,4,1,2,8] => [3,5,4,7,1,6,2,8] => 0001110
[3,5,2,6,4,7,1,8] => [7,5,3,6,2,4,1,8] => [3,6,2,5,4,7,1,8] => 0001110
[4,6,2,7,3,5,8,1] => [8,6,7,4,3,2,5,1] => [4,7,3,6,2,5,8,1] => 0000111
[4,6,1,7,3,8,2,5] => [6,8,7,4,2,1,3,5] => [4,7,2,8,1,6,3,5] => 0000111
[1,5,7,4,3,8,2,6] => [1,8,4,7,5,2,3,6] => [1,5,7,4,2,8,3,6] => 0010011
[1,5,7,2,8,3,6,4] => [1,7,8,6,5,3,2,4] => [1,5,6,3,8,2,7,4] => 0000111
[2,5,7,3,1,8,4,6] => [3,2,7,8,5,4,1,6] => [2,5,8,4,7,3,1,6] => 0100011
[5,2,6,7,1,8,4,3] => [7,5,4,8,2,6,1,3] => [6,8,4,2,5,1,7,3] => 0011011
[2,3,1,5,8,6,4,7] => [3,2,1,6,5,8,4,7] => [2,3,1,5,8,6,4,7] => 0100101
[2,4,7,3,1,8,5,6] => [3,2,7,4,8,5,1,6] => [2,4,8,5,7,3,1,6] => 0100011
[2,3,1,6,8,5,4,7] => [3,2,1,5,8,6,4,7] => [2,3,1,6,8,5,4,7] => 0101001
[4,6,2,7,1,8,3,5] => [7,6,8,4,3,2,1,5] => [4,8,3,6,2,7,1,5] => 0000111
[1,5,4,3,6,8,2,7] => [1,8,4,5,3,6,2,7] => [1,5,4,3,6,8,2,7] => 0011001
[1,3,6,2,8,7,4,5] => [1,6,3,7,4,2,8,5] => [1,3,8,7,4,6,2,5] => 0000111
[2,1,5,6,8,4,7,3] => [2,1,7,8,5,6,4,3] => [2,1,5,6,8,4,7,3] => 1000011
[2,4,1,7,8,5,6,3] => [4,2,6,1,8,5,7,3] => [2,7,8,5,6,1,4,3] => 0010101
[1,3,6,2,8,4,7,5] => [1,6,3,8,7,2,4,5] => [1,3,7,2,8,4,6,5] => 0000111
[2,1,5,6,8,7,3,4] => [2,1,7,3,5,6,8,4] => [2,1,5,6,8,7,3,4] => 1000011
[6,2,4,7,5,8,3,1] => [3,8,6,1,7,4,5,2] => [7,1,4,6,5,8,3,2] => 0100111
[3,4,6,8,5,7,2,1] => [2,7,3,4,8,6,5,1] => [3,4,6,8,5,7,2,1] => 1000011
[4,5,6,2,8,7,3,1] => [3,7,6,4,5,1,8,2] => [4,5,6,1,8,7,3,2] => 0100111
[4,5,6,1,8,7,3,2] => [6,3,7,4,5,1,8,2] => [4,5,8,7,3,1,6,2] => 0100111
[4,5,6,3,1,8,7,2] => [3,6,7,4,5,2,8,1] => [4,5,8,7,2,6,3,1] => 0100111
[4,6,3,2,1,7,5,8] => [2,3,6,4,7,1,5,8] => [4,7,3,2,1,6,5,8] => 1100110
[4,6,3,1,7,5,2,8] => [3,6,5,4,7,2,1,8] => [4,7,5,2,6,3,1,8] => 0101110
[4,5,3,7,6,1,8,2] => [6,7,5,4,3,8,2,1] => [4,5,3,8,2,7,6,1] => 0001111
[4,5,1,7,3,8,6,2] => [5,6,8,4,1,7,2,3] => [4,7,1,8,6,2,5,3] => 0001111
[4,3,6,1,7,5,2,8] => [6,5,4,3,7,1,2,8] => [4,3,7,5,1,6,2,8] => 0011110
[5,3,2,1,6,4,7,8] => [2,3,5,6,1,4,7,8] => [6,3,2,1,5,4,7,8] => 1101100
[5,1,6,3,2,7,4,8] => [5,3,6,7,1,2,4,8] => [7,3,1,6,2,5,4,8] => 0101110
[2,6,1,4,7,5,3,8] => [6,2,5,1,7,4,3,8] => [2,7,5,1,4,6,3,8] => 0001110
[3,6,1,7,4,2,5,8] => [6,4,3,7,2,1,5,8] => [3,7,4,2,6,1,5,8] => 0010110
[4,6,1,7,5,3,2,8] => [6,3,5,4,7,1,2,8] => [4,7,5,3,1,6,2,8] => 0101110
[5,3,2,6,4,1,7,8] => [4,3,6,5,1,2,7,8] => [5,3,1,6,4,2,7,8] => 0111100
[3,5,7,2,8,6,4,1] => [4,6,3,8,5,7,2,1] => [3,5,7,2,8,6,4,1] => 0010111
[2,4,7,1,3,6,5,8] => [7,2,1,4,6,3,5,8] => [2,4,6,1,3,7,5,8] => 0000110
[5,1,6,2,7,4,3,8] => [5,6,4,7,1,2,3,8] => [7,4,1,6,2,5,3,8] => 0011110
[5,2,1,6,4,3,7,8] => [2,5,4,6,1,3,7,8] => [6,4,2,1,5,3,7,8] => 1011100
[5,4,2,6,3,1,7,8] => [3,6,4,5,1,2,7,8] => [5,4,1,6,3,2,7,8] => 0111100
[3,6,1,7,5,4,8,2] => [6,8,3,5,7,1,4,2] => [3,7,5,1,8,4,6,2] => 0001111
[2,6,1,5,4,3,7,8] => [6,2,4,5,1,3,7,8] => [2,5,4,1,6,3,7,8] => 0011100
[7,3,1,6,5,4,8,2] => [3,7,8,5,6,2,4,1] => [6,5,2,8,4,7,3,1] => 0101111
[7,2,8,1,5,4,3,6] => [8,7,4,5,1,3,2,6] => [5,4,1,7,3,8,2,6] => 0011011
[4,2,7,6,5,8,1,3] => [8,4,1,2,6,7,5,3] => [4,1,7,6,5,8,2,3] => 0010111
[3,8,2,6,5,4,1,7] => [4,5,3,6,8,2,1,7] => [3,8,2,6,5,4,1,7] => 0011101
[5,2,7,6,8,4,1,3] => [4,8,2,5,1,7,6,3] => [5,2,7,6,8,4,1,3] => 0011011
[3,8,7,2,5,4,1,6] => [4,5,3,7,1,2,8,6] => [3,8,7,1,5,4,2,6] => 0011011
[4,3,7,2,5,6,1,8] => [6,7,4,3,2,5,1,8] => [4,3,7,2,5,6,1,8] => 0010110
[6,7,1,4,3,2,5,8] => [7,3,4,1,2,6,5,8] => [4,3,1,6,7,2,5,8] => 0110010
[3,4,2,6,7,1,5,8] => [7,4,3,2,1,6,5,8] => [3,4,2,6,7,1,5,8] => 0010010
[3,7,1,6,5,2,4,8] => [7,5,3,2,6,1,4,8] => [3,6,5,2,7,1,4,8] => 0001110
[3,5,6,2,4,7,1,8] => [7,6,3,2,5,4,1,8] => [3,5,6,2,4,7,1,8] => 0000110
[3,5,8,7,2,4,6,1] => [6,7,3,2,5,4,8,1] => [3,5,8,7,2,4,6,1] => 0000111
[1,7,8,2,5,4,3,6] => [1,8,4,5,2,3,7,6] => [1,5,4,2,7,8,3,6] => 0011001
[8,7,2,5,4,3,6,1] => [6,7,4,5,2,3,8,1] => [5,4,2,8,7,3,6,1] => 0011111
[2,5,6,4,7,1,3,8] => [7,2,1,6,5,4,3,8] => [2,5,6,4,7,1,3,8] => 0000110
[4,7,1,6,3,5,2,8] => [7,5,6,4,3,1,2,8] => [4,6,3,5,1,7,2,8] => 0001110
[4,5,3,8,7,2,6,1] => [6,7,5,4,3,2,8,1] => [4,5,3,8,7,2,6,1] => 0001111
[1,4,5,3,7,8,2,6] => [1,8,5,4,3,2,7,6] => [1,4,5,3,7,8,2,6] => 0001001
[1,4,8,2,7,6,3,5] => [1,8,6,4,3,7,2,5] => [1,4,7,6,3,8,2,5] => 0000111
[4,7,3,5,1,8,6,2] => [5,6,8,4,2,7,1,3] => [4,7,2,8,6,1,5,3] => 0001111
[2,5,8,7,4,6,1,3] => [6,2,1,7,5,4,8,3] => [2,5,8,7,4,6,1,3] => 0000111
[5,4,2,1,7,8,3,6] => [2,4,5,8,3,1,7,6] => [7,8,3,5,4,2,1,6] => 1011001
[4,7,8,3,5,2,1,6] => [2,5,8,4,3,1,7,6] => [4,7,8,3,5,2,1,6] => 1001001
[4,7,6,2,1,8,3,5] => [2,6,7,4,1,8,3,5] => [4,8,2,1,7,6,3,5] => 1000111
[1,4,6,7,3,5,8,2] => [1,8,7,4,3,6,5,2] => [1,4,6,7,3,5,8,2] => 0000011
[8,3,6,2,1,7,5,4] => [2,6,8,5,7,3,1,4] => [7,5,3,8,2,1,6,4] => 1001111
[8,3,7,6,4,2,1,5] => [2,4,6,7,1,8,3,5] => [8,2,1,7,6,4,3,5] => 1010111
[2,3,1,8,4,7,6,5] => [3,2,1,8,6,7,4,5] => [2,3,1,7,6,4,8,5] => 0100111
[2,7,4,8,6,5,1,3] => [5,2,1,6,8,7,4,3] => [2,7,4,8,6,5,1,3] => 0001111
[8,5,4,1,7,3,6,2] => [4,5,8,6,7,2,3,1] => [7,2,6,3,8,5,4,1] => 0011111
[6,3,7,2,8,5,4,1] => [4,5,8,7,6,2,1,3] => [6,2,7,1,8,5,4,3] => 0011111
[1,6,3,8,2,7,5,4] => [1,8,6,5,7,3,2,4] => [1,7,5,3,6,2,8,4] => 0001111
[6,2,7,4,1,8,5,3] => [4,7,6,5,8,3,2,1] => [8,5,3,6,2,7,4,1] => 0011111
[2,7,5,1,3,8,6,4] => [5,2,1,7,6,8,4,3] => [2,8,6,4,7,5,1,3] => 0001111
[1,7,6,4,3,8,2,5] => [1,8,4,6,2,7,3,5] => [1,7,6,4,2,8,3,5] => 0010111
[3,4,2,8,7,6,1,5] => [6,4,3,2,1,7,8,5] => [3,4,2,8,7,6,1,5] => 0010111
[5,1,4,3,2,7,8,6] => [5,3,4,1,2,8,7,6] => [4,3,1,5,2,7,8,6] => 0111001
[3,7,8,5,2,4,1,6] => [4,5,3,2,8,1,7,6] => [3,7,8,5,2,4,1,6] => 0011001
[3,7,6,2,4,1,8,5] => [4,6,3,2,7,8,5,1] => [3,8,5,7,6,2,4,1] => 0010111
[1,6,8,2,5,7,4,3] => [1,8,4,7,2,6,5,3] => [1,6,7,4,2,5,8,3] => 0010011
[5,2,7,8,4,3,1,6] => [3,4,8,5,2,1,7,6] => [5,2,7,8,4,3,1,6] => 0111001
[5,3,1,7,8,4,2,6] => [3,5,4,8,2,1,7,6] => [7,8,4,2,5,3,1,6] => 0111001
[2,7,6,4,1,3,8,5] => [4,2,1,6,7,8,5,3] => [2,8,5,7,6,4,1,3] => 0010111
[4,1,7,6,3,2,8,5] => [4,3,6,1,7,8,5,2] => [8,5,7,6,3,1,4,2] => 0110111
[6,3,1,7,5,2,8,4] => [3,6,5,7,8,2,4,1] => [8,2,7,5,4,6,3,1] => 0101111
[6,2,7,5,3,1,8,4] => [3,5,7,6,8,4,1,2] => [8,4,6,1,7,5,3,2] => 0101111
[5,7,2,8,4,6,3,1] => [3,6,7,8,5,4,1,2] => [5,8,4,7,1,6,3,2] => 0100111
[2,6,8,5,7,4,1,3] => [4,2,1,7,8,6,5,3] => [2,6,8,5,7,4,1,3] => 0010011
[5,7,4,6,2,1,8,3] => [2,6,8,7,5,4,1,3] => [5,7,4,8,2,1,6,3] => 1000111
[5,6,4,8,3,7,2,1] => [2,7,8,6,5,4,3,1] => [5,6,4,8,3,7,2,1] => 1000111
[6,7,1,8,3,4,2,5] => [7,4,8,3,2,6,1,5] => [6,8,3,4,2,7,1,5] => 0010011
[7,8,3,5,1,4,2,6] => [5,4,8,1,3,2,7,6] => [7,8,1,4,3,5,2,6] => 0011001
[5,6,2,7,1,8,3,4] => [7,6,8,3,5,2,1,4] => [5,8,3,6,2,7,1,4] => 0000111
[6,7,2,4,3,8,1,5] => [8,7,4,2,1,6,3,5] => [4,2,6,7,1,8,3,5] => 0010011
[2,5,4,8,3,6,1,7] => [6,2,8,5,4,3,1,7] => [2,5,4,8,3,6,1,7] => 0001101
[2,3,1,8,5,6,4,7] => [3,2,1,6,8,5,4,7] => [2,3,1,8,5,6,4,7] => 0100101
[3,8,5,6,4,7,1,2] => [7,1,3,6,8,5,4,2] => [3,8,5,6,4,7,1,2] => 0000111
[5,7,3,6,4,8,1,2] => [8,1,7,6,5,3,4,2] => [5,6,3,7,4,8,1,2] => 0000111
[5,7,2,4,3,6,1,8] => [6,7,4,2,5,3,1,8] => [4,2,5,7,3,6,1,8] => 0010110
[4,6,2,7,1,5,3,8] => [7,6,5,4,1,2,3,8] => [4,5,1,6,2,7,3,8] => 0001110
[4,7,1,6,2,5,3,8] => [7,6,5,4,2,1,3,8] => [4,5,2,6,1,7,3,8] => 0001110
[4,7,1,5,3,6,2,8] => [7,6,5,4,1,3,2,8] => [4,5,1,6,3,7,2,8] => 0001110
[6,7,3,5,1,4,2,8] => [5,4,7,1,3,6,2,8] => [6,7,1,4,3,5,2,8] => 0011010
[1,8,5,6,3,4,2,7] => [1,4,6,3,8,5,2,7] => [1,8,5,6,3,4,2,7] => 0010101
[1,8,5,6,4,7,2,3] => [1,7,2,6,8,5,4,3] => [1,8,5,6,4,7,2,3] => 0000111
[5,7,1,6,4,8,2,3] => [7,8,2,6,5,1,4,3] => [5,6,2,8,4,7,1,3] => 0000111
[3,5,1,4,2,8,6,7] => [5,4,3,1,2,8,6,7] => [3,4,1,5,2,8,6,7] => 0011001
[4,6,5,8,3,7,1,2] => [7,1,8,4,6,5,3,2] => [4,6,5,8,3,7,1,2] => 0000111
[2,4,3,8,1,7,5,6] => [8,2,4,3,7,5,1,6] => [2,4,3,7,5,8,1,6] => 0010011
[2,5,3,8,4,7,1,6] => [7,2,5,8,3,1,4,6] => [2,8,3,5,1,7,4,6] => 0001011
[2,7,1,8,3,6,4,5] => [7,2,8,6,4,3,1,5] => [2,6,4,8,3,7,1,5] => 0000111
[3,7,4,8,6,1,5,2] => [6,5,3,8,4,7,1,2] => [3,7,4,5,1,8,6,2] => 0001111
[1,5,2,8,7,6,3,4] => [1,5,6,3,2,7,8,4] => [1,8,7,6,3,5,2,4] => 0001111
[5,1,2,8,7,6,3,4] => [5,1,6,3,2,7,8,4] => [8,7,6,3,5,1,2,4] => 0001111
[4,1,5,8,7,6,2,3] => [4,6,2,1,5,7,8,3] => [5,8,7,6,2,4,1,3] => 0010111
[4,5,7,8,2,6,3,1] => [3,6,8,4,5,1,7,2] => [4,5,7,8,1,6,3,2] => 0100101
[5,2,6,8,3,7,4,1] => [4,7,5,8,3,6,1,2] => [6,8,3,5,1,7,4,2] => 0011011
[3,1,6,8,7,4,5,2] => [3,5,1,7,4,6,8,2] => [6,8,7,4,5,1,3,2] => 0101011
[6,1,8,4,7,3,5,2] => [6,5,7,8,3,1,4,2] => [8,3,7,1,5,4,6,2] => 0001111
[5,8,3,4,7,1,6,2] => [7,6,8,3,5,1,4,2] => [5,8,3,6,1,4,7,2] => 0000111
[5,2,7,8,3,6,4,1] => [4,6,5,8,3,1,7,2] => [7,8,3,5,1,6,4,2] => 0011101
[4,6,7,8,2,5,3,1] => [3,5,8,4,1,6,7,2] => [4,6,7,8,1,5,3,2] => 0101001
[7,2,5,3,8,6,4,1] => [4,6,8,5,2,7,1,3] => [5,2,7,1,8,6,4,3] => 0011111
[3,4,7,5,8,6,2,1] => [2,6,3,4,8,7,1,5] => [3,4,7,2,1,8,6,5] => 1000111
[3,6,7,4,8,5,2,1] => [2,5,3,8,7,6,1,4] => [3,6,7,2,1,8,5,4] => 1001011
[4,7,5,2,8,6,3,1] => [3,6,5,4,8,7,2,1] => [4,7,5,2,8,6,3,1] => 0101111
[2,7,5,3,8,6,4,1] => [4,2,6,5,8,7,3,1] => [2,7,5,3,8,6,4,1] => 0011111
[5,6,2,8,3,7,4,1] => [4,7,6,8,5,3,1,2] => [5,8,3,6,1,7,4,2] => 0010111
[5,7,8,3,2,6,4,1] => [4,3,6,8,5,1,7,2] => [5,7,8,3,1,6,4,2] => 0110101
[3,6,8,4,2,7,5,1] => [5,4,3,7,8,6,1,2] => [3,6,8,4,1,7,5,2] => 0011011
[1,5,8,2,7,3,6,4] => [1,8,7,6,5,3,2,4] => [1,5,6,3,7,2,8,4] => 0000111
[5,8,4,7,2,3,6,1] => [6,7,2,8,5,3,4,1] => [5,8,2,3,7,4,6,1] => 0000111
[6,7,4,8,1,5,3,2] => [8,3,5,7,1,6,4,2] => [6,7,3,1,5,4,8,2] => 0101011
[5,7,2,8,3,6,4,1] => [4,6,7,8,5,1,3,2] => [5,8,1,7,3,6,4,2] => 0010111
[7,4,2,8,6,1,5,3] => [6,4,8,5,3,7,1,2] => [5,3,7,4,1,8,6,2] => 0011111
[6,8,5,3,7,2,4,1] => [4,7,5,2,8,6,3,1] => [6,8,5,2,7,3,4,1] => 0011011
[7,5,2,3,8,6,4,1] => [4,6,2,5,8,7,3,1] => [7,5,2,3,8,6,4,1] => 0011111
[3,7,4,5,8,6,2,1] => [2,6,3,8,1,7,5,4] => [3,7,2,1,5,8,6,4] => 1000111
[3,6,4,7,8,5,2,1] => [2,5,3,8,6,1,7,4] => [3,6,2,1,7,8,5,4] => 1001101
[6,4,2,7,8,5,3,1] => [3,5,4,8,6,2,7,1] => [6,4,2,7,8,5,3,1] => 0111101
[7,4,2,5,8,6,3,1] => [3,6,4,8,2,7,5,1] => [7,4,2,5,8,6,3,1] => 0110111
[6,1,8,3,4,7,5,2] => [6,5,7,2,8,1,4,3] => [8,2,7,5,1,4,6,3] => 0001111
[6,8,4,2,5,7,3,1] => [3,7,4,8,1,6,5,2] => [6,8,4,1,5,7,3,2] => 0110011
[7,5,8,3,4,6,2,1] => [2,6,8,3,7,4,5,1] => [7,3,4,8,5,6,2,1] => 1000111
[2,7,1,8,4,5,6,3] => [7,2,6,8,4,5,1,3] => [2,8,4,5,6,1,7,3] => 0000111
[2,6,8,3,4,5,1,7] => [5,2,8,3,4,6,1,7] => [2,6,8,3,4,5,1,7] => 0001001
[6,1,2,7,4,5,8,3] => [6,1,8,7,4,2,5,3] => [7,4,8,1,2,5,6,3] => 0000111
[5,6,2,7,4,3,8,1] => [8,6,4,7,5,2,3,1] => [5,7,4,2,6,3,8,1] => 0010111
[4,6,7,3,2,5,8,1] => [8,3,7,4,2,6,5,1] => [4,6,7,3,2,5,8,1] => 0100011
[2,6,7,3,8,5,4,1] => [4,2,5,8,7,6,3,1] => [2,6,7,3,8,5,4,1] => 0011011
[2,6,1,8,4,5,3,7] => [6,2,5,8,4,1,3,7] => [2,8,4,5,1,6,3,7] => 0001101
[2,5,7,8,4,3,6,1] => [6,2,4,8,5,3,7,1] => [2,5,7,8,4,3,6,1] => 0010101
[2,12,1,3,4,5,6,7,8,9,10,11] => [12,2,1,3,4,5,6,7,8,9,10,11] => [2,12,1,3,4,5,6,7,8,9,10,11] => 00000000001
[3,6,8,4,5,7,1,2] => [7,1,3,8,4,6,5,2] => [3,6,8,4,5,7,1,2] => 0000011
[1,6,8,4,7,2,3,5] => [1,7,2,8,3,6,4,5] => [1,6,8,2,3,7,4,5] => 0000011
[1,4,5,7,8,2,6,3] => [1,8,6,4,5,2,7,3] => [1,4,5,6,2,7,8,3] => 0000101
[3,4,5,7,8,6,1,2] => [6,1,3,4,5,8,7,2] => [3,4,5,7,8,6,1,2] => 0000101
[3,4,5,7,6,8,1,2] => [8,1,3,4,5,7,6,2] => [3,4,5,7,6,8,1,2] => 0000011
[3,4,5,6,8,7,1,2] => [7,1,3,4,5,6,8,2] => [3,4,5,6,8,7,1,2] => 0000011
[1,4,5,8,6,2,3,7] => [1,6,2,4,5,8,3,7] => [1,4,5,8,6,2,3,7] => 0000101
[1,4,5,6,8,2,7,3] => [1,8,7,4,5,6,2,3] => [1,4,5,6,7,2,8,3] => 0000011
[1,2,5,8,3,4,7,6] => [1,2,8,3,5,7,4,6] => [1,2,5,7,3,4,8,6] => 0000011
[1,6,7,2,3,5,8,4] => [1,7,2,8,3,6,5,4] => [1,6,8,2,3,5,7,4] => 0000011
[7,8,1,2,3,5,4,6] => [8,1,2,5,3,4,7,6] => [5,1,2,3,7,8,4,6] => 0001001
[1,6,7,2,3,5,4,8] => [1,7,2,5,3,6,4,8] => [1,5,2,3,6,7,4,8] => 0001010
[1,2,5,7,3,6,8,4] => [1,2,7,8,5,3,6,4] => [1,2,5,8,3,6,7,4] => 0000011
[1,6,8,2,3,5,7,4] => [1,8,2,7,3,6,5,4] => [1,6,7,2,3,5,8,4] => 0000011
[1,6,8,4,5,2,3,7] => [1,5,2,8,4,6,3,7] => [1,6,8,4,5,2,3,7] => 0001001
[1,6,8,2,3,4,7,5] => [1,8,2,3,7,6,4,5] => [1,6,7,2,3,4,8,5] => 0000011
[1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => [1,6,7,4,8,2,3,5] => 0000011
[7,8,1,2,3,4,6,5] => [8,1,2,3,6,4,7,5] => [6,1,2,3,4,7,8,5] => 0000101
[7,8,1,2,3,6,4,5] => [8,1,2,6,4,3,7,5] => [6,4,7,8,1,2,3,5] => 0000101
[1,6,7,2,3,8,5,4] => [1,7,2,5,8,6,3,4] => [1,6,8,5,2,3,7,4] => 0001011
[1,2,5,6,3,8,7,4] => [1,2,6,7,5,3,8,4] => [1,2,5,8,7,3,6,4] => 0000111
[4,2,1,6,5,3,8,7] => [2,4,5,1,6,3,8,7] => [6,5,2,1,4,3,8,7] => 1011101
[8,2,4,3,1,6,5,7] => [3,4,8,1,6,2,5,7] => [6,1,4,3,2,8,5,7] => 0110101
[6,2,4,3,1,8,7,5] => [3,4,6,1,7,2,8,5] => [8,7,1,4,3,2,6,5] => 0110111
[4,2,6,3,5,1,8,7] => [5,4,6,2,3,1,8,7] => [6,2,4,3,5,1,8,7] => 0011101
[2,1,6,4,3,8,7,5] => [2,1,4,6,7,3,8,5] => [2,1,8,7,4,3,6,5] => 1010111
[6,8,2,4,3,1,7,5] => [3,4,8,1,7,6,2,5] => [6,7,1,4,3,2,8,5] => 0110011
[2,1,6,4,8,5,7,3] => [2,1,7,6,8,4,5,3] => [2,1,8,4,6,5,7,3] => 1000111
[4,6,5,2,8,3,7,1] => [7,5,6,4,8,3,2,1] => [4,8,3,6,5,2,7,1] => 0001111
[8,4,2,6,3,5,1,7] => [5,4,8,6,2,3,1,7] => [6,2,8,4,3,5,1,7] => 0011101
[6,2,1,8,7,4,3,5] => [2,6,4,7,3,1,8,5] => [8,7,4,3,6,2,1,5] => 1010111
[6,2,1,8,4,3,7,5] => [2,6,4,8,7,1,3,5] => [7,4,2,1,8,3,6,5] => 1010111
[8,4,6,5,2,1,3,7] => [2,5,1,6,8,3,4,7] => [8,2,1,3,6,5,4,7] => 1001101
[6,4,8,5,2,1,7,3] => [2,5,8,7,6,1,3,4] => [6,2,1,7,3,8,5,4] => 1001111
[6,4,8,5,7,2,1,3] => [2,7,1,6,8,4,5,3] => [8,4,6,5,7,2,1,3] => 1000111
[2,1,4,8,6,7,3,5] => [2,1,7,4,3,8,6,5] => [2,1,4,8,6,7,3,5] => 1000011
[2,1,6,8,4,3,7,5] => [2,1,4,8,7,6,3,5] => [2,1,6,7,4,3,8,5] => 1010011
[2,8,5,3,1,4,6,7] => [3,2,5,1,8,4,6,7] => [2,8,5,3,1,4,6,7] => 0101001
[8,4,2,1,5,3,6,7] => [2,4,8,5,3,1,6,7] => [5,3,8,4,2,1,6,7] => 1011001
[8,5,1,4,2,3,6,7] => [5,4,2,1,8,3,6,7] => [4,2,8,5,1,3,6,7] => 0011001
[6,7,3,8,4,2,5,1] => [5,4,8,7,3,6,2,1] => [6,7,3,8,4,2,5,1] => 0011011
[1,7,8,4,3,5,2,6] => [1,5,4,8,3,2,7,6] => [1,7,8,4,3,5,2,6] => 0011001
[7,1,4,8,3,5,2,6] => [7,5,8,1,3,2,4,6] => [8,1,5,3,7,2,4,6] => 0001011
[7,4,8,1,5,6,2,3] => [8,6,2,7,1,5,4,3] => [7,2,5,6,4,8,1,3] => 0000111
[6,7,3,1,8,4,5,2] => [3,7,5,8,4,6,2,1] => [6,8,4,5,2,7,3,1] => 0101011
[6,7,3,8,4,5,2,1] => [2,5,7,8,4,6,3,1] => [6,8,4,7,3,5,2,1] => 1001011
[2,6,7,4,8,3,1,5] => [3,2,8,7,1,6,4,5] => [2,6,7,3,1,8,4,5] => 0100011
[7,8,1,3,6,2,4,5] => [8,6,1,2,4,3,7,5] => [6,1,4,7,8,2,3,5] => 0000101
[1,2,7,8,6,3,4,5] => [1,2,6,3,4,8,7,5] => [1,2,7,8,6,3,4,5] => 0000101
[2,6,7,1,8,5,3,4] => [7,2,5,3,8,6,1,4] => [2,6,8,5,3,7,1,4] => 0001011
[2,6,7,8,5,3,1,4] => [3,2,5,1,8,6,7,4] => [2,6,7,8,5,3,1,4] => 0101001
[2,6,7,8,5,3,4,1] => [4,2,5,3,8,6,7,1] => [2,6,7,8,5,3,4,1] => 0011001
[1,7,2,8,4,5,6,3] => [1,7,6,8,4,5,2,3] => [1,8,4,5,6,2,7,3] => 0000111
[1,6,7,8,4,2,5,3] => [1,4,8,5,3,6,7,2] => [1,5,3,6,7,8,4,2] => 0011001
[1,7,5,3,6,4,8,2] => [1,8,5,7,6,4,3,2] => [1,6,4,7,5,3,8,2] => 0001111
[5,1,2,6,7,4,8,3] => [5,1,8,7,2,6,4,3] => [6,7,1,2,8,4,5,3] => 0001011
[4,1,5,7,3,2,6,8] => [4,3,7,1,5,2,6,8] => [5,7,3,1,4,2,6,8] => 0110010
[4,6,1,8,3,2,5,7] => [6,3,8,4,2,1,5,7] => [4,8,3,2,6,1,5,7] => 0100101
[4,7,1,8,3,5,2,6] => [7,5,8,4,3,2,1,6] => [4,8,3,5,2,7,1,6] => 0001011
[4,1,7,8,6,2,3,5] => [4,6,2,1,3,8,7,5] => [7,8,6,2,4,1,3,5] => 0010101
[1,6,5,7,8,3,4,2] => [1,4,8,3,6,5,7,2] => [1,6,5,7,8,3,4,2] => 0010101
[4,1,8,7,6,2,3,5] => [4,6,2,1,3,7,8,5] => [8,7,6,2,4,1,3,5] => 0010111
[4,8,1,7,3,5,2,6] => [8,5,7,4,3,2,1,6] => [4,7,3,5,2,8,1,6] => 0001011
[4,8,1,6,3,2,5,7] => [8,3,6,4,2,1,5,7] => [4,6,3,2,8,1,5,7] => 0100101
[1,5,7,3,4,8,6,2] => [1,6,8,2,5,7,4,3] => [1,5,7,2,4,8,6,3] => 0000111
[1,5,8,3,4,7,6,2] => [1,6,7,2,5,8,4,3] => [1,5,8,2,4,7,6,3] => 0000111
[7,1,2,3,5,6,4,8] => [7,1,2,6,3,5,4,8] => [6,1,2,3,5,7,4,8] => 0000110
[8,1,2,3,5,4,7,6] => [8,1,2,5,3,7,4,6] => [5,1,2,3,7,4,8,6] => 0001011
[6,7,2,4,3,1,5,8] => [3,4,7,1,2,6,5,8] => [6,7,1,4,3,2,5,8] => 0110010
[1,6,4,3,7,5,8,2] => [1,8,4,6,7,3,5,2] => [1,7,4,3,6,5,8,2] => 0010111
[3,1,2,6,7,5,8,4] => [3,1,2,8,7,6,5,4] => [3,1,2,6,7,5,8,4] => 0100011
[7,6,2,4,3,1,5,8] => [3,4,6,1,2,7,5,8] => [7,6,1,4,3,2,5,8] => 0110110
[1,5,7,3,4,6,8,2] => [1,8,7,3,5,4,6,2] => [1,5,7,3,4,6,8,2] => 0000011
[8,7,2,5,3,6,1,4] => [6,7,5,1,2,3,8,4] => [5,1,8,7,2,6,3,4] => 0001111
[7,1,2,3,5,4,8,6] => [7,1,2,5,3,8,4,6] => [5,1,2,3,8,4,7,6] => 0001011
[6,1,2,3,5,8,4,7] => [6,1,2,8,3,5,4,7] => [8,1,2,3,5,6,4,7] => 0000101
[5,1,2,3,7,6,4,8] => [5,1,2,6,3,7,4,8] => [7,6,1,2,3,5,4,8] => 0001110
[5,1,2,3,8,6,4,7] => [5,1,2,6,3,8,4,7] => [8,6,1,2,3,5,4,7] => 0001101
[7,6,2,5,3,1,8,4] => [3,5,6,7,4,8,2,1] => [8,4,7,6,2,5,3,1] => 0101111
[8,4,7,3,2,5,1,6] => [5,3,7,8,2,1,4,6] => [8,3,2,7,1,5,4,6] => 0101011
[5,4,6,3,1,2,8,7] => [3,1,6,5,4,2,8,7] => [5,4,6,3,1,2,8,7] => 0101101
[4,6,2,3,1,5,8,7] => [3,6,2,4,1,5,8,7] => [4,6,2,3,1,5,8,7] => 0100101
[8,2,3,4,5,7,1,6] => [7,8,2,3,4,1,5,6] => [8,2,3,4,7,1,5,6] => 0000011
[7,3,4,6,8,5,1,2] => [5,1,8,2,7,4,6,3] => [7,1,2,4,6,8,5,3] => 0001011
[4,7,3,2,8,6,1,5] => [6,3,8,4,2,7,1,5] => [4,7,3,2,8,6,1,5] => 0100111
[3,7,4,5,1,8,6,2] => [5,6,3,8,2,7,1,4] => [3,7,2,8,6,1,5,4] => 0001111
[3,8,2,6,7,4,5,1] => [5,8,3,7,4,2,6,1] => [3,7,4,6,8,2,5,1] => 0001011
[5,8,2,4,6,7,1,3] => [7,8,1,2,5,4,6,3] => [5,8,1,4,6,7,2,3] => 0000011
[6,8,1,3,4,2,7,5] => [8,4,1,3,7,6,2,5] => [4,1,3,6,7,2,8,5] => 0010011
[2,1,7,6,8,5,3,4] => [2,1,5,3,8,7,6,4] => [2,1,7,6,8,5,3,4] => 1001011
[4,7,2,3,8,5,1,6] => [5,8,1,4,7,2,3,6] => [4,7,1,8,5,2,3,6] => 0001011
[7,1,3,6,4,8,5,2] => [7,5,1,8,6,3,2,4] => [6,1,3,8,5,2,7,4] => 0001111
[6,2,3,7,8,5,4,1] => [4,5,2,8,6,3,7,1] => [6,2,3,7,8,5,4,1] => 0011101
[6,2,3,8,4,5,1,7] => [5,6,2,8,4,3,1,7] => [8,4,6,2,3,5,1,7] => 0001101
[5,4,8,3,6,7,1,2] => [7,1,8,5,4,3,6,2] => [5,4,8,3,6,7,1,2] => 0001011
[3,5,1,8,4,6,7,2] => [5,7,3,8,1,4,6,2] => [3,8,1,6,7,4,5,2] => 0001011
[3,6,1,8,4,5,2,7] => [6,5,3,8,4,1,2,7] => [3,8,4,5,1,6,2,7] => 0001101
[4,6,8,3,5,2,7,1] => [7,5,8,4,3,6,2,1] => [4,6,8,3,5,2,7,1] => 0001011
[5,7,8,3,2,4,1,6] => [4,3,8,2,5,1,7,6] => [5,7,8,3,2,4,1,6] => 0110001
[4,8,2,3,5,6,1,7] => [6,8,2,4,3,5,1,7] => [4,8,2,3,5,6,1,7] => 0000101
[6,8,2,3,1,4,5,7] => [3,8,2,1,4,6,5,7] => [6,8,2,3,1,4,5,7] => 0100001
[3,7,8,2,1,4,6,5] => [2,8,3,1,6,4,7,5] => [3,6,2,1,4,7,8,5] => 1000101
[6,3,2,4,1,8,7,5] => [4,3,6,2,7,1,8,5] => [8,7,3,2,4,1,6,5] => 0110111
[7,2,3,4,8,5,1,6] => [5,8,1,3,7,2,4,6] => [7,1,3,8,5,2,4,6] => 0001011
[1,8,3,2,4,5,7,6] => [1,3,8,2,4,7,5,6] => [1,7,3,2,4,5,8,6] => 0100011
[8,3,5,2,7,4,1,6] => [4,7,5,8,1,2,3,6] => [8,1,5,2,7,4,3,6] => 0011011
[7,2,4,8,1,3,6,5] => [8,7,1,2,6,3,4,5] => [6,1,7,2,3,4,8,5] => 0000111
[1,2,8,7,5,6,3,4] => [1,2,6,3,7,5,8,4] => [1,2,8,7,5,6,3,4] => 0000111
[3,1,8,6,7,5,2,4] => [3,5,1,2,7,8,6,4] => [8,6,7,5,1,3,2,4] => 0101011
[1,6,5,4,8,2,3,7] => [1,8,2,5,6,4,3,7] => [1,6,5,4,8,2,3,7] => 0001101
[5,2,6,3,8,1,4,7] => [8,5,6,1,2,3,4,7] => [6,1,5,2,8,3,4,7] => 0001101
[7,2,8,1,3,6,5,4] => [8,7,1,5,6,3,2,4] => [6,5,1,3,7,2,8,4] => 0001111
[1,5,8,4,6,3,7,2] => [1,7,6,8,5,4,3,2] => [1,5,8,4,6,3,7,2] => 0000111
[1,8,2,4,7,6,5,3] => [1,8,5,2,6,7,4,3] => [1,7,6,5,2,4,8,3] => 0001111
[4,3,8,2,5,1,6,7] => [5,8,4,3,2,1,6,7] => [4,3,8,2,5,1,6,7] => 0011001
[8,2,1,4,6,5,7,3] => [2,8,7,1,6,4,5,3] => [6,2,1,4,7,5,8,3] => 1000111
[4,8,5,1,3,6,2,7] => [5,8,2,4,6,3,1,7] => [4,6,2,3,8,5,1,7] => 0001101
[3,6,1,5,7,2,8,4] => [6,7,3,8,1,5,2,4] => [3,8,1,5,7,2,6,4] => 0000111
[4,1,8,2,3,7,5,6] => [4,8,2,1,7,5,3,6] => [7,5,8,2,4,1,3,6] => 0010011
[5,3,8,7,2,1,4,6] => [2,7,5,1,3,4,8,6] => [5,2,1,8,7,3,4,6] => 1001011
[6,7,3,5,1,4,8,2] => [5,8,7,1,3,6,4,2] => [6,7,1,8,3,4,5,2] => 0001011
[6,4,7,5,8,2,3,1] => [3,8,2,6,7,4,5,1] => [7,4,6,5,8,2,3,1] => 0100111
[5,7,8,4,2,6,3,1] => [3,6,4,8,5,1,7,2] => [5,7,8,4,1,6,3,2] => 0110101
[5,8,4,6,1,7,3,2] => [6,3,7,8,5,4,1,2] => [5,8,4,7,3,1,6,2] => 0100111
[5,6,1,4,7,8,3,2] => [6,3,8,1,5,4,7,2] => [5,7,8,3,1,4,6,2] => 0100101
[5,6,3,7,4,8,2,1] => [2,8,6,7,5,3,4,1] => [5,7,3,6,4,8,2,1] => 1000111
[5,3,6,7,4,8,2,1] => [2,8,5,7,3,6,4,1] => [6,7,3,5,4,8,2,1] => 1001011
[5,3,2,8,6,7,4,1] => [4,3,7,5,1,8,6,2] => [5,3,1,8,6,7,4,2] => 0111011
[6,4,8,5,7,2,3,1] => [3,7,2,6,8,4,5,1] => [8,4,6,5,7,2,3,1] => 0100111
[4,6,8,5,7,2,3,1] => [3,7,2,4,8,6,5,1] => [4,6,8,5,7,2,3,1] => 0100011
[4,6,3,2,8,7,5,1] => [5,3,7,4,6,1,8,2] => [4,6,3,1,8,7,5,2] => 0101111
[5,3,6,8,2,7,4,1] => [4,7,8,5,1,6,3,2] => [5,1,6,8,3,7,4,2] => 0011011
[4,3,7,2,8,6,5,1] => [5,6,4,3,8,7,2,1] => [4,3,7,2,8,6,5,1] => 0011111
[6,7,3,8,5,2,4,1] => [4,5,8,3,7,6,2,1] => [6,7,3,8,5,2,4,1] => 0011011
[6,2,7,5,1,4,8,3] => [5,7,6,2,8,3,4,1] => [8,2,6,3,4,7,5,1] => 0001111
[3,5,7,8,4,6,2,1] => [2,6,3,8,5,4,7,1] => [3,5,7,8,4,6,2,1] => 1000101
[5,7,8,2,4,6,3,1] => [3,6,8,1,5,4,7,2] => [5,7,8,1,4,6,3,2] => 0100101
[2,5,8,4,3,7,6,1] => [6,2,4,7,5,8,1,3] => [2,5,8,4,1,7,6,3] => 0010111
[2,6,8,4,7,3,5,1] => [5,2,7,8,3,6,4,1] => [2,6,8,3,7,4,5,1] => 0001011
[3,7,4,8,6,2,1,5] => [2,6,3,8,4,7,1,5] => [3,7,4,8,6,2,1,5] => 1000111
[4,3,7,5,8,6,2,1] => [2,6,4,3,8,7,1,5] => [4,3,7,2,1,8,6,5] => 1010111
[4,5,7,3,8,6,2,1] => [2,6,8,4,5,7,1,3] => [4,5,7,2,1,8,6,3] => 1000111
[3,5,6,8,4,7,2,1] => [2,7,3,8,5,6,4,1] => [3,5,6,8,4,7,2,1] => 1000011
[7,5,4,1,8,6,3,2] => [4,3,5,7,6,8,1,2] => [8,6,3,1,7,5,4,2] => 0111111
[1,8,2,5,6,3,4,7] => [1,8,6,3,2,5,4,7] => [1,6,3,5,8,2,4,7] => 0000101
[1,3,7,5,6,2,4,8] => [1,6,3,2,7,5,4,8] => [1,3,7,5,6,2,4,8] => 0000110
[1,6,7,4,3,5,2,8] => [1,5,4,7,3,6,2,8] => [1,6,7,4,3,5,2,8] => 0011010
[1,8,5,2,3,7,4,6] => [1,5,2,8,7,3,4,6] => [1,7,2,3,8,5,4,6] => 0001011
[7,5,8,3,2,1,6,4] => [2,3,8,6,7,1,5,4] => [7,3,2,1,6,5,8,4] => 1100111
[1,5,2,6,4,7,8,3] => [1,5,8,6,2,4,7,3] => [1,6,2,7,8,4,5,3] => 0001101
[6,2,5,7,1,4,8,3] => [7,6,8,1,2,5,4,3] => [8,1,5,6,2,4,7,3] => 0000111
[7,3,6,8,5,2,4,1] => [4,5,8,3,7,2,6,1] => [7,3,6,8,5,2,4,1] => 0011011
[2,7,8,3,6,5,1,4] => [5,2,6,3,8,1,7,4] => [2,7,8,3,6,5,1,4] => 0001101
[2,7,8,5,4,6,3,1] => [3,2,6,5,8,4,7,1] => [2,7,8,5,4,6,3,1] => 0101101
[2,6,5,8,3,4,1,7] => [4,2,8,3,6,5,1,7] => [2,6,5,8,3,4,1,7] => 0010101
[2,6,5,7,3,4,1,8] => [4,2,7,3,6,5,1,8] => [2,6,5,7,3,4,1,8] => 0010110
[6,2,5,8,4,1,3,7] => [4,8,2,6,1,5,3,7] => [6,2,5,8,4,1,3,7] => 0010101
[2,7,8,4,6,1,3,5] => [6,2,1,8,3,4,7,5] => [2,7,8,1,3,6,4,5] => 0000101
[1,6,2,7,5,8,4,3] => [1,6,4,8,7,2,5,3] => [1,7,4,2,8,5,6,3] => 0010111
[1,6,2,4,8,7,3,5] => [1,6,7,2,3,4,8,5] => [1,8,7,2,6,3,4,5] => 0000111
[5,4,1,2,3,8,6,7] => [4,1,2,5,3,8,6,7] => [5,4,1,2,3,8,6,7] => 0011001
[5,1,4,2,3,7,8,6] => [5,4,2,1,3,8,7,6] => [4,2,5,1,3,7,8,6] => 0011001
[1,9,8,7,6,5,3,2,4] => [1,3,5,2,6,7,8,9,4] => [1,9,8,7,6,5,3,2,4] => 01011111
[2,1,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,3] => [2,1,9,8,7,6,5,4,3] => 10111111
[1,2,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,3] => [1,2,9,8,7,6,5,4,3] => 00111111
[3,2,1,9,8,7,6,5,4] => [2,3,1,5,6,7,8,9,4] => [3,2,1,9,8,7,6,5,4] => 11011111
[1,2,3,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,8,7,6,5,4] => 00011111
[4,3,2,1,9,8,7,6,5] => [2,3,4,1,6,7,8,9,5] => [4,3,2,1,9,8,7,6,5] => 11101111
[2,1,4,3,9,8,7,6,5] => [2,1,4,3,6,7,8,9,5] => [2,1,4,3,9,8,7,6,5] => 10101111
[1,2,3,4,9,8,7,6,5] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,8,7,6,5] => 00001111
[1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,8,7,6] => 00000111
[1,2,3,5,4,7,6,9,8] => [1,2,3,5,4,7,6,9,8] => [1,2,3,5,4,7,6,9,8] => 00010101
[1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => 00000101
[1,2,10,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,9,8,7,6,5,4,3] => 001111111
[3,2,1,10,9,8,7,6,5,4] => [2,3,1,5,6,7,8,9,10,4] => [3,2,1,10,9,8,7,6,5,4] => 110111111
[1,2,3,10,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,9,8,7,6,5,4] => 000111111
[1,2,3,4,10,9,8,7,6,5] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,9,8,7,6,5] => 000011111
[1,2,3,5,4,10,9,8,7,6] => [1,2,3,5,4,7,8,9,10,6] => [1,2,3,5,4,10,9,8,7,6] => 000101111
[1,2,3,6,5,4,10,9,8,7] => [1,2,3,5,6,4,8,9,10,7] => [1,2,3,6,5,4,10,9,8,7] => 000110111
[1,2,4,3,6,5,10,9,8,7] => [1,2,4,3,6,5,8,9,10,7] => [1,2,4,3,6,5,10,9,8,7] => 001010111
[1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,9,8,7] => 000000111
[1,2,4,3,7,6,5,10,9,8] => [1,2,4,3,6,7,5,9,10,8] => [1,2,4,3,7,6,5,10,9,8] => 001011011
[1,3,2,5,4,7,6,10,9,8] => [1,3,2,5,4,7,6,9,10,8] => [1,3,2,5,4,7,6,10,9,8] => 010101011
[1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => 000000011
[1,2,4,3,6,5,8,7,10,9] => [1,2,4,3,6,5,8,7,10,9] => [1,2,4,3,6,5,8,7,10,9] => 001010101
[1,2,3,4,6,5,8,7,10,9] => [1,2,3,4,6,5,8,7,10,9] => [1,2,3,4,6,5,8,7,10,9] => 000010101
[1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => 000000101
[5,2,7,4,1,6,3,8] => [4,7,5,6,3,2,1,8] => [6,3,5,2,7,4,1,8] => 0011110
[1,7,8,4,5,6,2,3] => [1,6,2,8,4,5,7,3] => [1,7,8,4,5,6,2,3] => 0000101
[6,2,3,7,5,1,4,8] => [5,7,1,2,6,3,4,8] => [6,1,7,5,2,3,4,8] => 0001110
[1,7,3,4,8,6,2,5] => [1,6,8,2,3,7,4,5] => [1,7,2,8,6,3,4,5] => 0000111
[8,7,3,2,1,6,5,4] => [2,3,7,5,6,1,8,4] => [6,5,3,2,1,8,7,4] => 1101111
[9,4,3,2,1,8,7,6,5] => [2,3,4,9,6,7,8,1,5] => [8,7,6,4,3,2,1,9,5] => 11101111
[2,4,8,6,3,1,7,5] => [3,2,6,4,8,7,5,1] => [2,4,7,5,8,6,3,1] => 0100111
[8,1,4,5,3,2,7,6] => [8,3,5,1,4,7,2,6] => [5,3,1,4,7,2,8,6] => 0101011
[3,5,6,2,1,7,8,4] => [2,6,3,8,5,1,7,4] => [3,5,7,8,2,1,6,4] => 1000101
[3,4,6,2,7,8,1,5] => [8,6,3,4,1,2,7,5] => [3,4,6,1,7,8,2,5] => 0000101
[3,5,6,2,1,7,4,8] => [2,6,3,7,5,1,4,8] => [3,5,7,2,1,6,4,8] => 1000110
[8,1,5,6,7,3,2,4] => [8,3,7,2,1,5,6,4] => [7,3,2,5,6,8,1,4] => 0100011
[3,4,1,6,8,7,2,5] => [4,7,3,1,2,6,8,5] => [3,6,8,7,1,4,2,5] => 0010011
[3,5,6,1,8,7,2,4] => [6,7,3,2,5,1,8,4] => [3,5,8,7,2,6,1,4] => 0000111
[2,1,3,8,6,7,4,5] => [2,1,3,7,4,8,6,5] => [2,1,3,8,6,7,4,5] => 1000011
[8,1,3,2,6,7,5,4] => [8,3,1,5,7,2,6,4] => [3,1,7,5,2,6,8,4] => 0101011
[3,5,6,1,8,7,4,2] => [6,4,3,7,5,1,8,2] => [3,5,8,7,4,1,6,2] => 0010111
[3,4,6,8,7,1,5,2] => [7,5,3,4,1,6,8,2] => [3,4,5,1,6,8,7,2] => 0001011
[3,5,1,6,7,8,4,2] => [5,4,3,8,1,6,7,2] => [3,6,7,8,4,1,5,2] => 0011001
[4,5,6,1,7,8,3,2] => [6,3,8,4,5,1,7,2] => [4,5,7,8,3,1,6,2] => 0100101
[6,5,8,7,4,3,1,2] => [3,1,4,7,6,5,8,2] => [6,5,8,7,4,3,1,2] => 0110111
[6,4,2,7,8,5,1,3] => [5,4,2,8,6,1,7,3] => [6,4,2,7,8,5,1,3] => 0011101
[6,1,4,8,7,5,2,3] => [6,5,2,1,7,4,8,3] => [8,7,5,2,4,6,1,3] => 0001111
[1,6,4,8,7,5,2,3] => [1,5,2,7,6,3,8,4] => [1,6,2,3,8,7,5,4] => 0001111
[1,8,6,2,4,7,3,5] => [1,6,8,3,2,7,4,5] => [1,7,3,8,6,2,4,5] => 0000111
[7,6,2,1,4,8,3,5] => [2,6,7,3,1,8,4,5] => [8,3,7,6,2,1,4,5] => 1000111
[6,4,1,7,8,5,2,3] => [4,6,1,5,8,2,7,3] => [7,8,5,1,6,4,2,3] => 0011101
[7,6,1,2,4,8,3,5] => [6,1,7,3,2,8,4,5] => [8,3,7,6,1,2,4,5] => 0000111
[8,1,6,3,4,7,2,5] => [8,7,6,3,2,1,4,5] => [6,3,7,2,8,1,4,5] => 0000111
[1,8,6,3,4,7,2,5] => [1,7,6,3,2,8,4,5] => [1,8,6,3,7,2,4,5] => 0000111
[2,7,1,5,4,8,3,6] => [7,2,8,5,1,3,4,6] => [2,5,1,8,3,7,4,6] => 0001011
[2,8,6,3,4,7,1,5] => [7,2,6,3,1,8,4,5] => [2,8,6,3,7,1,4,5] => 0000111
[1,2,7,5,4,8,3,6] => [1,2,8,5,7,3,4,6] => [1,2,7,5,3,8,4,6] => 0001011
[3,2,7,5,4,8,1,6] => [8,3,2,5,7,1,4,6] => [3,2,7,5,1,8,4,6] => 0101011
[2,5,8,4,7,3,1,6] => [3,2,7,8,5,1,4,6] => [2,5,8,3,1,7,4,6] => 0100011
[2,3,7,5,4,8,1,6] => [8,2,3,5,7,1,4,6] => [2,3,7,5,1,8,4,6] => 0001011
[1,5,8,4,7,3,2,6] => [1,3,7,8,5,2,4,6] => [1,5,8,3,2,7,4,6] => 0100011
[5,1,8,4,7,3,2,6] => [5,3,7,8,1,2,4,6] => [8,3,1,7,2,5,4,6] => 0101011
[6,8,4,3,7,5,1,2] => [5,1,4,7,8,6,2,3] => [6,8,4,1,2,7,5,3] => 0011011
[8,7,5,6,2,1,4,3] => [2,6,4,1,7,5,8,3] => [4,2,1,8,7,5,6,3] => 1010111
[8,5,2,4,7,3,1,6] => [3,7,5,1,8,2,4,6] => [8,5,1,7,3,2,4,6] => 0101011
[8,1,5,4,7,3,2,6] => [8,3,7,5,1,2,4,6] => [5,3,1,7,2,8,4,6] => 0101011
[1,8,5,4,7,3,2,6] => [1,3,7,5,8,2,4,6] => [1,8,5,3,2,7,4,6] => 0101011
[1,7,3,5,4,8,2,6] => [1,8,7,5,3,2,4,6] => [1,5,3,7,2,8,4,6] => 0001011
[8,6,3,1,4,7,2,5] => [3,6,8,1,2,7,4,5] => [7,1,8,6,3,2,4,5] => 0100111
[8,6,4,2,7,5,1,3] => [5,4,2,7,6,8,1,3] => [8,6,4,2,7,5,1,3] => 0011111
[5,3,7,4,6,8,2,1] => [2,8,5,7,3,4,6,1] => [7,3,5,4,6,8,2,1] => 1001011
[4,1,3,2,7,8,5,6] => [4,3,1,2,8,5,7,6] => [3,1,4,2,7,8,5,6] => 0110001
[1,4,3,2,7,8,5,6] => [1,3,4,2,8,5,7,6] => [1,4,3,2,7,8,5,6] => 0110001
[2,4,3,1,7,8,5,6] => [3,2,4,1,8,5,7,6] => [2,4,3,1,7,8,5,6] => 0110001
[8,2,5,4,7,3,1,6] => [3,7,8,5,1,2,4,6] => [5,1,8,3,2,7,4,6] => 0101011
[7,2,3,5,4,8,1,6] => [8,7,2,5,3,1,4,6] => [5,2,3,7,1,8,4,6] => 0001011
[3,2,1,4,7,8,5,6] => [2,3,1,4,8,5,7,6] => [3,2,1,4,7,8,5,6] => 1100001
[7,4,2,5,1,6,3,8] => [5,4,7,6,3,1,2,8] => [6,3,7,4,1,5,2,8] => 0011110
[7,3,6,5,2,1,8,4] => [2,5,6,7,8,4,3,1] => [8,4,7,3,6,5,2,1] => 1001111
[5,8,2,6,4,1,3,7] => [4,6,2,8,5,1,3,7] => [5,8,2,6,4,1,3,7] => 0010101
[6,4,2,5,1,8,3,7] => [5,4,6,8,3,1,2,7] => [8,3,6,4,1,5,2,7] => 0011101
[2,5,8,6,3,1,4,7] => [3,2,6,1,5,8,4,7] => [2,5,8,6,3,1,4,7] => 0100101
[2,3,6,8,1,5,7,4] => [8,2,3,7,1,6,5,4] => [2,3,6,7,1,5,8,4] => 0000011
[6,3,8,5,2,7,1,4] => [7,5,8,1,6,2,3,4] => [6,1,8,5,2,7,3,4] => 0001111
[2,5,7,6,3,1,4,8] => [3,2,6,1,5,7,4,8] => [2,5,7,6,3,1,4,8] => 0100110
[2,5,8,7,6,3,1,4] => [3,2,6,1,5,7,8,4] => [2,5,8,7,6,3,1,4] => 0100111
[2,4,8,1,6,5,7,3] => [8,2,7,4,6,1,5,3] => [2,4,6,1,7,5,8,3] => 0000111
[2,8,7,3,6,1,4,5] => [6,2,7,1,4,3,8,5] => [2,8,7,1,4,6,3,5] => 0000111
[8,4,2,5,1,3,7,6] => [5,4,1,8,2,7,3,6] => [7,4,1,5,2,3,8,6] => 0011011
[2,3,6,8,1,4,7,5] => [8,2,3,1,7,6,4,5] => [2,3,6,7,1,4,8,5] => 0000011
[2,7,8,6,3,1,4,5] => [3,2,6,1,4,8,7,5] => [2,7,8,6,3,1,4,5] => 0100101
[2,8,6,3,1,4,5,7] => [3,2,6,1,4,8,5,7] => [2,8,6,3,1,4,5,7] => 0100101
[3,8,6,1,4,7,5,2] => [6,5,3,2,8,7,4,1] => [3,7,5,2,4,8,6,1] => 0001111
[2,6,8,1,5,7,3,4] => [8,2,7,3,1,6,5,4] => [2,6,7,3,5,8,1,4] => 0000011
[2,7,1,5,8,3,4,6] => [7,2,8,3,1,4,5,6] => [2,8,3,7,1,4,5,6] => 0000011
[7,3,6,1,2,8,4,5] => [6,1,7,8,4,3,2,5] => [8,4,7,3,6,1,2,5] => 0000111
[7,4,6,1,8,2,5,3] => [6,8,5,7,2,4,1,3] => [7,2,5,4,8,1,6,3] => 0001111
[6,8,4,5,1,7,2,3] => [5,7,2,8,4,6,1,3] => [6,8,4,7,2,5,1,3] => 0001011
[4,6,8,5,1,7,2,3] => [5,8,1,4,7,6,2,3] => [4,6,7,1,8,5,2,3] => 0001011
[5,1,7,6,2,3,8,4] => [5,6,2,7,1,8,4,3] => [8,2,7,6,4,5,1,3] => 0001111
[8,5,1,7,6,2,3,4] => [5,8,1,3,6,7,2,4] => [7,6,1,3,8,5,2,4] => 0001111
[8,5,1,6,2,7,3,4] => [5,8,6,1,7,2,3,4] => [7,1,6,2,8,5,3,4] => 0001111
[4,5,1,8,7,2,3,6] => [5,7,2,4,1,3,8,6] => [4,8,7,2,5,1,3,6] => 0001011
[5,8,4,1,7,2,3,6] => [4,8,1,7,5,3,2,6] => [5,7,1,3,8,4,2,6] => 0010011
[6,5,1,2,7,3,8,4] => [5,1,6,7,8,3,4,2] => [8,3,7,4,6,5,1,2] => 0001111
[8,6,5,1,2,7,3,4] => [5,1,6,3,8,7,2,4] => [7,3,8,6,5,1,2,4] => 0001111
[6,5,1,8,7,2,3,4] => [5,6,1,3,7,2,8,4] => [8,7,1,3,6,5,2,4] => 0001111
[5,6,8,7,4,1,2,3] => [4,1,2,7,5,6,8,3] => [5,6,8,7,4,1,2,3] => 0010011
[6,8,5,7,4,1,2,3] => [4,1,2,7,8,6,5,3] => [6,8,5,7,4,1,2,3] => 0010011
[7,3,8,1,5,2,4,6] => [8,5,7,2,1,4,3,6] => [7,2,5,1,4,8,3,6] => 0001011
[1,8,4,2,3,6,7,5] => [1,4,2,8,7,3,6,5] => [1,7,4,2,3,6,8,5] => 0010011
[4,1,7,2,3,6,8,5] => [4,7,2,1,8,3,6,5] => [8,2,4,1,3,6,7,5] => 0010011
[4,5,2,3,1,7,8,6] => [3,5,2,4,1,8,7,6] => [4,5,2,3,1,7,8,6] => 0101001
[2,6,8,3,4,7,1,5] => [7,2,8,3,1,6,4,5] => [2,6,8,3,7,1,4,5] => 0000011
[2,6,3,1,8,4,5,7] => [3,2,6,8,4,1,5,7] => [2,8,4,6,3,1,5,7] => 0100101
[5,3,2,7,4,8,1,6] => [8,3,5,7,2,1,4,6] => [7,3,2,5,1,8,4,6] => 0101011
[2,6,3,1,8,7,4,5] => [3,2,6,7,4,1,8,5] => [2,8,7,4,6,3,1,5] => 0100111
[5,4,2,3,7,8,6,1] => [6,4,2,5,3,8,7,1] => [5,4,2,3,7,8,6,1] => 0011101
[2,5,4,1,7,6,8,3] => [4,2,5,8,3,7,6,1] => [2,7,6,8,3,5,4,1] => 0011011
[2,6,5,1,7,8,3,4] => [5,2,6,1,8,3,7,4] => [2,7,8,1,6,5,3,4] => 0001101
[5,8,3,1,7,2,4,6] => [3,8,7,1,5,4,2,6] => [5,7,1,4,8,3,2,6] => 0100011
[6,8,5,2,1,7,3,4] => [2,5,8,1,7,6,3,4] => [6,7,2,1,8,5,3,4] => 1001011
[6,8,4,3,1,5,7,2] => [3,4,8,7,1,6,5,2] => [6,7,1,5,8,4,3,2] => 0110011
[6,8,4,2,1,5,7,3] => [2,4,8,7,3,6,5,1] => [6,7,3,5,8,4,2,1] => 1010011
[6,8,3,2,1,4,5,7] => [2,3,8,1,4,6,5,7] => [6,8,3,2,1,4,5,7] => 1100001
[5,1,7,3,2,4,6,8] => [5,3,7,2,1,4,6,8] => [7,3,2,5,1,4,6,8] => 0101010
[5,2,1,8,3,6,7,4] => [2,5,8,7,1,3,6,4] => [7,2,1,6,8,3,5,4] => 1001011
[4,3,8,1,6,2,7,5] => [8,6,4,3,7,1,2,5] => [4,3,7,1,6,2,8,5] => 0010111
[5,2,1,7,3,4,8,6] => [2,5,7,3,1,8,4,6] => [8,3,5,2,1,4,7,6] => 1001011
[5,3,1,7,2,6,8,4] => [3,5,7,8,2,1,6,4] => [8,2,6,7,3,1,5,4] => 0101011
[3,2,1,7,6,4,8,5] => [2,3,1,6,7,8,5,4] => [3,2,1,8,5,7,6,4] => 1100111
[4,2,1,8,5,7,3,6] => [2,4,7,1,8,3,5,6] => [8,2,1,4,3,7,5,6] => 1010011
[5,3,2,8,6,1,4,7] => [6,3,5,1,2,8,4,7] => [5,3,1,8,6,2,4,7] => 0101101
[2,1,5,8,4,7,3,6] => [2,1,7,8,5,3,4,6] => [2,1,5,8,3,7,4,6] => 1000011
[4,3,1,6,2,7,5,8] => [3,4,6,2,7,1,5,8] => [7,2,4,3,1,6,5,8] => 0110110
[6,4,2,1,7,8,5,3] => [2,4,6,5,8,3,7,1] => [7,8,5,3,6,4,2,1] => 1011101
[3,2,1,4,6,8,5,7] => [2,3,1,4,8,6,5,7] => [3,2,1,4,6,8,5,7] => 1100001
[5,3,2,1,6,7,8,4] => [2,3,5,8,1,6,7,4] => [6,7,8,3,2,1,5,4] => 1101001
[8,6,1,4,5,7,2,3] => [6,8,1,2,4,7,5,3] => [7,1,4,5,8,6,2,3] => 0000111
[3,8,6,4,5,7,1,2] => [7,1,3,6,4,8,5,2] => [3,8,6,4,5,7,1,2] => 0000111
[1,8,6,3,7,4,2,5] => [1,4,7,6,3,8,2,5] => [1,8,6,3,7,4,2,5] => 0010111
[1,8,6,5,7,2,3,4] => [1,7,2,3,6,8,5,4] => [1,8,6,5,7,2,3,4] => 0000111
[5,2,8,4,3,6,7,1] => [7,5,4,8,2,3,6,1] => [8,4,2,5,3,6,7,1] => 0011011
[5,2,8,4,3,7,1,6] => [7,5,4,8,2,1,3,6] => [8,4,2,5,1,7,3,6] => 0011011
[6,2,8,3,7,4,1,5] => [4,7,6,8,2,3,1,5] => [8,2,6,3,7,4,1,5] => 0010111
[7,6,3,8,4,2,1,5] => [2,4,8,6,3,7,1,5] => [7,6,3,8,4,2,1,5] => 1010111
[5,3,1,7,8,4,6,2] => [3,5,6,8,2,4,7,1] => [7,8,2,6,4,5,3,1] => 0101101
[5,3,2,7,8,4,6,1] => [6,3,5,8,2,4,7,1] => [7,8,3,2,5,4,6,1] => 0101101
[6,3,2,7,8,4,1,5] => [4,3,8,6,2,1,7,5] => [6,3,2,7,8,4,1,5] => 0110101
[8,7,6,1,3,5,2,4] => [6,5,1,2,3,7,8,4] => [5,1,8,7,6,2,3,4] => 0001111
[7,8,6,2,5,3,1,4] => [3,5,6,2,1,8,7,4] => [7,8,6,2,5,3,1,4] => 0101101
[2,7,6,4,8,3,5,1] => [5,2,8,6,3,7,4,1] => [2,7,6,3,8,4,5,1] => 0001111
[6,5,2,7,1,4,8,3] => [7,5,6,1,8,3,4,2] => [8,1,6,5,3,4,7,2] => 0001111
[7,4,6,1,3,2,8,5] => [6,3,1,7,8,4,2,5] => [3,1,8,4,7,2,6,5] => 0100111
[2,4,7,5,6,3,8,1] => [8,2,6,4,7,5,3,1] => [2,4,7,5,6,3,8,1] => 0000111
[5,4,1,7,6,2,8,3] => [4,5,6,7,2,8,1,3] => [8,2,7,6,1,5,4,3] => 0011111
[4,7,2,5,6,3,8,1] => [8,7,6,4,2,5,3,1] => [4,6,2,5,7,3,8,1] => 0000111
[2,7,4,5,3,8,1,6] => [8,2,5,7,4,1,3,6] => [2,7,4,5,1,8,3,6] => 0001011
[1,8,5,6,2,4,7,3] => [1,6,7,2,8,5,4,3] => [1,8,5,7,2,4,6,3] => 0000111
[1,4,5,2,8,6,7,3] => [1,5,7,4,2,8,6,3] => [1,4,8,6,7,2,5,3] => 0001011
[3,1,2,6,8,4,7,5] => [3,1,2,8,7,6,4,5] => [3,1,2,6,7,4,8,5] => 0100011
[5,1,3,2,7,8,4,6] => [5,3,1,8,2,4,7,6] => [3,1,7,8,2,5,4,6] => 0101001
[1,5,4,2,7,8,3,6] => [1,4,5,8,3,2,7,6] => [1,7,8,3,5,4,2,6] => 0011001
[5,6,8,4,3,2,7,1] => [7,3,4,8,5,6,2,1] => [5,6,8,4,3,2,7,1] => 0110011
[3,6,7,8,4,2,1,5] => [2,4,3,8,1,6,7,5] => [3,6,7,8,4,2,1,5] => 1010001
[6,3,8,4,2,1,7,5] => [2,4,8,6,7,1,3,5] => [7,2,1,6,4,3,8,5] => 1010111
[3,5,8,1,2,6,7,4] => [8,1,3,7,5,2,6,4] => [3,5,7,1,2,6,8,4] => 0000011
[3,2,7,8,4,6,1,5] => [6,3,2,8,1,4,7,5] => [3,2,7,8,1,6,4,5] => 0100101
[8,3,4,2,1,6,5,7] => [2,4,8,3,6,1,5,7] => [6,3,4,2,1,8,5,7] => 1010101
[6,4,7,2,5,8,1,3] => [8,7,1,6,2,4,5,3] => [6,1,7,4,5,8,2,3] => 0000111
[2,4,5,8,3,6,1,7] => [6,2,8,4,5,3,1,7] => [2,4,5,8,3,6,1,7] => 0000101
[3,5,8,1,2,6,4,7] => [8,1,3,6,5,2,4,7] => [3,5,6,1,2,8,4,7] => 0000101
[8,6,1,3,5,2,4,7] => [6,5,1,2,3,8,4,7] => [5,1,8,6,2,3,4,7] => 0001101
[8,5,1,2,6,4,3,7] => [5,1,4,8,6,3,2,7] => [6,4,3,8,5,1,2,7] => 0011101
[5,8,6,1,3,4,2,7] => [6,4,1,3,5,8,2,7] => [4,1,3,5,8,6,2,7] => 0010101
[5,7,4,3,6,1,8,2] => [6,8,4,7,5,3,1,2] => [5,7,4,3,8,1,6,2] => 0010111
[2,6,4,3,7,8,5,1] => [5,2,4,8,6,1,7,3] => [2,6,4,1,7,8,5,3] => 0011101
[7,6,3,1,5,4,8,2] => [3,6,7,5,1,8,4,2] => [5,1,8,4,7,6,3,2] => 0101111
[2,4,6,5,1,7,8,3] => [5,2,6,4,8,3,7,1] => [2,4,7,8,3,6,5,1] => 0001101
[1,4,7,5,6,8,2,3] => [1,8,2,4,7,5,6,3] => [1,4,7,5,6,8,2,3] => 0000011
[1,4,7,6,5,8,2,3] => [1,8,2,4,6,7,5,3] => [1,4,7,6,5,8,2,3] => 0000111
[5,6,1,7,4,2,8,3] => [6,4,7,8,5,1,3,2] => [5,8,1,7,4,3,6,2] => 0010111
[3,7,4,8,1,2,6,5] => [8,1,3,7,6,2,4,5] => [3,6,1,2,7,4,8,5] => 0000111
[6,3,5,7,8,1,4,2] => [8,4,6,1,3,5,7,2] => [6,1,4,3,5,7,8,2] => 0010101
[6,4,7,8,2,1,3,5] => [2,8,1,6,3,4,7,5] => [6,2,1,3,7,8,4,5] => 1000101
[2,7,8,3,4,6,1,5] => [6,2,8,3,1,4,7,5] => [2,7,8,3,6,1,4,5] => 0000101
[4,7,5,8,3,1,2,6] => [3,1,8,4,7,2,5,6] => [4,7,3,1,2,8,5,6] => 0100011
[8,4,5,2,7,6,1,3] => [6,5,1,7,3,8,2,4] => [8,1,3,5,2,7,6,4] => 0001111
[8,7,6,4,1,2,5,3] => [4,1,6,5,3,7,8,2] => [5,3,8,7,6,4,1,2] => 0011111
[5,7,2,3,6,8,1,4] => [8,7,2,1,5,3,6,4] => [5,7,2,6,8,1,3,4] => 0000011
[6,3,5,7,1,4,8,2] => [7,8,6,1,3,5,4,2] => [6,1,5,8,3,4,7,2] => 0000111
[7,5,2,8,4,1,3,6] => [4,8,2,5,7,3,1,6] => [7,5,2,3,8,4,1,6] => 0011011
[3,7,6,4,1,8,2,5] => [4,6,3,7,2,8,1,5] => [3,8,2,7,6,4,1,5] => 0010111
[3,7,8,4,1,5,6,2] => [4,8,3,6,2,5,7,1] => [3,6,2,5,7,8,4,1] => 0010101
[5,8,1,6,7,3,4,2] => [8,4,7,3,5,1,6,2] => [5,7,3,4,1,6,8,2] => 0010011
[6,7,2,5,1,8,4,3] => [5,7,4,8,2,6,1,3] => [6,8,4,2,7,1,5,3] => 0011011
[3,6,1,2,5,8,4,7] => [6,1,3,8,2,5,4,7] => [3,8,1,2,5,6,4,7] => 0000101
[1,2,6,4,5,8,3,7] => [1,2,8,6,4,5,3,7] => [1,2,6,4,5,8,3,7] => 0000101
[2,7,1,4,3,6,8,5] => [7,2,4,1,8,3,6,5] => [2,4,1,8,3,6,7,5] => 0010011
[8,2,1,5,7,3,4,6] => [2,8,7,3,1,4,5,6] => [7,3,8,2,1,4,5,6] => 1000011
[2,4,1,3,8,6,7,5] => [4,2,1,3,7,8,6,5] => [2,4,1,3,8,6,7,5] => 0010011
[8,4,3,7,1,2,6,5] => [7,1,4,8,6,2,3,5] => [6,4,1,2,8,3,7,5] => 0010111
[4,1,7,2,6,8,3,5] => [4,7,8,1,3,2,6,5] => [8,1,6,7,3,4,2,5] => 0010011
[5,1,7,2,3,6,8,4] => [5,7,2,8,1,3,6,4] => [8,2,6,7,1,3,5,4] => 0001011
[2,6,1,7,3,5,8,4] => [6,2,7,8,3,1,5,4] => [2,8,3,7,1,5,6,4] => 0000111
[7,1,2,5,3,6,8,4] => [7,1,5,8,2,3,6,4] => [8,1,2,5,3,6,7,4] => 0001011
[7,3,1,2,4,6,8,5] => [3,1,7,2,8,4,6,5] => [8,3,1,2,4,6,7,5] => 0100011
[1,8,3,4,7,2,5,6] => [1,7,8,3,2,5,4,6] => [1,8,3,5,7,2,4,6] => 0000011
[3,6,8,1,2,4,7,5] => [8,1,3,2,7,6,4,5] => [3,6,7,1,2,4,8,5] => 0000011
[1,3,7,4,8,2,6,5] => [1,8,3,7,6,2,4,5] => [1,3,6,2,7,4,8,5] => 0000111
[1,4,6,8,2,3,7,5] => [1,8,2,4,7,6,3,5] => [1,4,6,7,2,3,8,5] => 0000011
[2,6,8,1,7,3,4,5] => [8,2,7,3,4,6,1,5] => [2,6,7,3,4,8,1,5] => 0000011
[6,1,5,8,2,3,7,4] => [6,8,2,7,1,5,3,4] => [7,2,5,8,1,3,6,4] => 0000111
[1,8,3,2,7,5,6,4] => [1,3,8,6,7,5,2,4] => [1,7,5,6,3,2,8,4] => 0100111
[3,1,7,2,8,5,6,4] => [3,7,1,6,8,5,2,4] => [8,5,6,1,3,2,7,4] => 0100111
[2,6,7,3,8,1,5,4] => [8,2,7,5,1,6,3,4] => [2,5,1,6,7,3,8,4] => 0001011
[3,7,2,8,6,1,5,4] => [6,8,3,5,2,7,1,4] => [3,5,2,7,1,8,6,4] => 0001111
[4,7,2,8,3,6,5,1] => [5,6,7,4,8,1,3,2] => [4,8,1,7,3,6,5,2] => 0001111
[4,7,2,6,3,5,8,1] => [8,7,6,4,3,2,5,1] => [4,6,3,7,2,5,8,1] => 0000111
[6,8,2,4,3,7,5,1] => [5,7,4,1,8,6,3,2] => [4,1,6,8,3,7,5,2] => 0011011
[6,7,2,4,3,8,5,1] => [5,8,4,1,7,6,3,2] => [4,1,6,7,3,8,5,2] => 0011011
[3,8,7,2,4,1,5,6] => [4,7,3,2,1,5,8,6] => [3,8,7,2,4,1,5,6] => 0010011
[3,7,8,2,4,1,5,6] => [4,8,3,2,1,5,7,6] => [3,7,8,2,4,1,5,6] => 0010001
[3,6,8,2,4,5,7,1] => [7,8,3,2,4,6,5,1] => [3,6,8,2,4,5,7,1] => 0000011
[3,6,7,2,4,5,8,1] => [8,7,3,2,4,6,5,1] => [3,6,7,2,4,5,8,1] => 0000011
[8,6,1,7,2,5,4,3] => [6,8,4,5,1,7,2,3] => [5,4,1,7,2,8,6,3] => 0011111
[8,7,6,1,2,3,5,4] => [6,1,2,5,3,7,8,4] => [5,1,2,3,8,7,6,4] => 0001111
[5,4,3,1,6,2,8,7] => [3,4,5,6,1,2,8,7] => [6,1,5,4,3,2,8,7] => 0111101
[3,8,5,2,7,1,6,4] => [7,5,3,8,6,1,4,2] => [3,6,1,8,5,4,7,2] => 0001111
[2,8,6,7,5,3,4,1] => [4,2,5,3,7,8,6,1] => [2,8,6,7,5,3,4,1] => 0011011
[3,6,5,8,2,4,7,1] => [7,8,3,2,6,5,4,1] => [3,6,5,8,2,4,7,1] => 0000111
[5,2,1,8,7,3,4,6] => [2,5,7,3,1,4,8,6] => [8,7,3,5,2,1,4,6] => 1001011
[6,5,2,7,4,3,8,1] => [8,5,4,6,7,3,2,1] => [7,4,3,6,5,2,8,1] => 0011111
[6,2,7,1,8,3,5,4] => [7,6,8,5,3,2,1,4] => [5,3,8,2,6,1,7,4] => 0001111
[3,8,1,4,7,5,2,6] => [8,5,3,1,7,2,4,6] => [3,7,5,1,8,2,4,6] => 0001011
[6,3,8,7,4,5,1,2] => [5,1,6,7,4,3,8,2] => [8,7,4,6,3,5,1,2] => 0001111
[6,1,4,8,5,2,3,7] => [6,5,2,1,8,4,3,7] => [8,5,2,4,6,1,3,7] => 0001101
[4,6,7,8,2,3,5,1] => [5,8,2,4,3,6,7,1] => [4,6,7,8,2,3,5,1] => 0001001
[8,7,4,6,2,1,5,3] => [2,6,5,7,1,4,8,3] => [8,7,2,1,5,4,6,3] => 1001111
[5,8,3,2,4,6,1,7] => [6,3,8,2,5,4,1,7] => [5,8,3,2,4,6,1,7] => 0100101
[8,2,6,5,3,1,7,4] => [3,5,6,8,7,4,1,2] => [7,4,8,1,6,5,3,2] => 0101111
[4,8,7,6,5,2,3,1] => [3,5,2,4,6,7,8,1] => [4,8,7,6,5,2,3,1] => 0101111
[2,1,8,6,4,3,7,5] => [2,1,4,6,8,7,5,3] => [2,1,7,5,8,6,4,3] => 1010111
[2,1,7,6,5,3,8,4] => [2,1,5,6,7,8,3,4] => [2,1,8,3,7,6,5,4] => 1001111
[7,2,5,4,6,1,8,3] => [6,7,8,5,2,4,1,3] => [5,2,8,4,7,1,6,3] => 0001111
[2,4,1,7,6,8,5,3] => [4,2,5,1,8,7,6,3] => [2,7,6,8,5,1,4,3] => 0011011
[3,4,1,7,8,5,6,2] => [4,6,3,1,8,5,7,2] => [3,7,8,5,6,1,4,2] => 0010101
[7,5,4,3,1,8,6,2] => [3,4,5,7,6,8,2,1] => [8,6,2,7,5,4,3,1] => 0111111
[8,5,6,2,7,3,1,4] => [3,7,6,2,8,5,1,4] => [8,5,6,2,7,3,1,4] => 0100111
[8,4,2,5,6,1,7,3] => [6,4,8,7,3,5,1,2] => [7,3,5,8,4,1,6,2] => 0010111
[6,3,5,4,1,7,8,2] => [4,5,8,6,1,2,7,3] => [6,1,7,8,2,5,4,3] => 0011101
[4,1,3,6,7,5,8,2] => [4,8,1,3,7,6,5,2] => [6,7,5,8,1,3,4,2] => 0010011
[1,7,5,3,8,2,4,6] => [1,8,5,2,7,4,3,6] => [1,7,5,2,4,8,3,6] => 0001011
[8,2,5,3,1,6,4,7] => [3,5,8,6,1,2,4,7] => [6,1,8,3,2,5,4,7] => 0101101
[2,6,4,7,8,3,5,1] => [5,2,8,6,3,4,7,1] => [2,6,3,7,8,4,5,1] => 0001101
[1,2,6,4,7,8,3,5] => [1,2,8,6,3,4,7,5] => [1,2,6,3,7,8,4,5] => 0000101
[2,7,4,5,8,1,3,6] => [8,2,1,7,4,3,5,6] => [2,7,4,8,1,3,5,6] => 0000011
[6,1,4,7,8,3,5,2] => [6,5,8,1,3,4,7,2] => [7,8,1,5,3,4,6,2] => 0001101
[3,6,4,7,8,1,5,2] => [8,5,3,6,1,4,7,2] => [3,6,1,5,4,7,8,2] => 0001101
[3,6,4,7,8,1,2,5] => [8,1,3,6,2,4,7,5] => [3,6,1,2,7,8,4,5] => 0000101
[4,7,2,1,5,3,8,6] => [2,7,5,4,1,8,3,6] => [4,5,2,1,8,3,7,6] => 1001011
[1,3,6,4,7,2,8,5] => [1,7,3,6,8,4,2,5] => [1,3,8,4,6,2,7,5] => 0000111
[5,1,3,4,2,7,8,6] => [5,4,1,3,2,8,7,6] => [4,1,3,5,2,7,8,6] => 0011001
[5,4,2,1,3,7,8,6] => [2,4,1,5,3,8,7,6] => [5,4,2,1,3,7,8,6] => 1011001
[6,1,7,3,8,2,5,4] => [6,8,7,5,2,1,3,4] => [5,2,7,1,8,3,6,4] => 0001111
[6,3,2,1,7,8,5,4] => [2,3,6,5,8,1,7,4] => [7,8,5,3,2,1,6,4] => 1101101
[6,2,7,3,1,8,5,4] => [3,7,6,5,8,1,2,4] => [8,5,1,6,3,2,7,4] => 0101111
[2,6,7,3,1,8,5,4] => [3,2,7,5,8,6,1,4] => [2,6,8,5,3,1,7,4] => 0101011
[6,4,7,8,3,2,5,1] => [5,3,8,6,2,4,7,1] => [6,3,2,7,8,4,5,1] => 0101101
[3,8,4,7,1,2,5,6] => [7,1,3,8,2,5,4,6] => [3,8,1,2,5,7,4,6] => 0000011
[6,8,5,7,4,2,3,1] => [3,4,2,7,8,6,5,1] => [6,8,5,7,4,2,3,1] => 0110011
[4,3,7,8,1,6,2,5] => [8,6,4,3,2,1,7,5] => [4,3,6,2,7,8,1,5] => 0010101
[3,5,8,7,4,1,2,6] => [4,1,3,7,5,2,8,6] => [3,5,8,7,4,1,2,6] => 0010011
[7,3,8,4,1,2,5,6] => [4,1,8,7,3,5,2,6] => [7,3,5,8,4,1,2,6] => 0010011
[6,8,1,2,7,4,5,3] => [8,1,5,7,4,6,2,3] => [6,7,4,5,1,2,8,3] => 0001011
[2,5,8,7,3,6,4,1] => [4,2,6,7,5,1,8,3] => [2,5,8,7,1,6,4,3] => 0010111
[2,4,8,7,5,6,1,3] => [6,2,1,4,7,5,8,3] => [2,4,8,7,5,6,1,3] => 0000111
[3,7,4,8,5,6,2,1] => [2,6,3,7,8,5,4,1] => [3,8,5,7,4,6,2,1] => 1000111
[3,8,5,2,4,6,7,1] => [7,5,3,2,8,4,6,1] => [3,8,5,2,4,6,7,1] => 0001011
[6,3,8,7,2,1,4,5] => [2,7,6,1,4,3,8,5] => [6,2,1,4,8,7,3,5] => 1000111
[2,3,7,8,5,6,1,4] => [6,2,3,1,8,5,7,4] => [2,3,7,8,5,6,1,4] => 0000101
[2,4,7,8,1,6,3,5] => [8,2,6,4,3,1,7,5] => [2,4,6,3,7,8,1,5] => 0000101
[5,4,7,8,2,6,3,1] => [3,6,8,5,4,1,7,2] => [5,4,7,8,1,6,3,2] => 0101101
[2,8,3,4,1,5,7,6] => [4,2,8,3,1,7,5,6] => [2,7,3,4,1,5,8,6] => 0010011
[5,8,3,2,7,6,1,4] => [6,3,7,2,5,8,1,4] => [5,8,3,2,7,6,1,4] => 0100111
[4,5,3,2,8,6,7,1] => [7,3,5,4,2,8,6,1] => [4,5,3,2,8,6,7,1] => 0101011
[3,5,8,6,1,4,7,2] => [6,8,3,2,5,7,4,1] => [3,5,7,2,4,8,6,1] => 0000111
[4,6,8,5,3,2,7,1] => [7,3,5,4,8,6,2,1] => [4,6,8,5,3,2,7,1] => 0101011
[3,4,8,6,5,2,7,1] => [7,5,3,4,6,8,2,1] => [3,4,8,6,5,2,7,1] => 0001111
[3,4,8,7,5,6,2,1] => [2,6,3,4,7,5,8,1] => [3,4,8,7,5,6,2,1] => 1000111
[4,5,1,2,8,6,7,3] => [5,1,7,4,2,8,6,3] => [4,8,6,7,1,2,5,3] => 0001011
[6,1,5,7,2,4,8,3] => [6,7,8,2,1,5,4,3] => [8,2,5,7,1,4,6,3] => 0000111
[3,5,7,6,4,1,8,2] => [4,6,3,7,5,8,1,2] => [3,5,8,1,7,6,4,2] => 0010111
[4,7,5,2,1,3,8,6] => [2,5,1,4,7,8,3,6] => [4,8,5,2,1,3,7,6] => 1001011
[8,6,2,3,7,1,4,5] => [7,6,2,1,4,8,3,5] => [8,6,2,4,7,1,3,5] => 0000111
[1,7,2,4,8,6,3,5] => [1,7,6,2,3,8,4,5] => [1,8,6,2,7,3,4,5] => 0000111
[7,6,1,5,4,8,3,2] => [6,3,7,5,2,8,4,1] => [5,3,2,8,4,7,6,1] => 0101111
[4,8,7,6,1,2,5,3] => [6,1,5,4,2,7,8,3] => [4,5,1,2,8,7,6,3] => 0001111
[2,8,6,7,4,1,3,5] => [4,2,1,7,3,8,6,5] => [2,8,6,7,4,1,3,5] => 0010011
[5,8,6,4,2,3,1,7] => [3,4,2,6,5,8,1,7] => [5,8,6,4,2,3,1,7] => 0110101
[3,8,1,2,5,7,4,6] => [8,1,3,7,2,4,5,6] => [3,7,1,2,8,4,5,6] => 0000011
[6,8,3,1,2,4,5,7] => [3,1,8,2,4,6,5,7] => [6,8,3,1,2,4,5,7] => 0100001
[6,5,3,7,8,4,1,2] => [4,1,8,5,6,2,7,3] => [6,5,1,2,7,8,4,3] => 0011101
[6,2,7,4,8,1,3,5] => [8,6,1,7,3,2,4,5] => [7,1,3,6,2,8,4,5] => 0000111
[4,3,2,6,8,1,7,5] => [8,3,4,2,7,6,1,5] => [4,3,2,6,7,1,8,5] => 0110011
[3,5,4,2,8,1,6,7] => [8,4,3,5,2,1,6,7] => [3,5,4,2,8,1,6,7] => 0011001
[6,2,8,7,3,5,4,1] => [4,5,6,7,1,3,8,2] => [8,7,1,6,3,5,4,2] => 0011111
[3,6,8,7,4,1,2,5] => [4,1,3,7,2,6,8,5] => [3,6,8,7,4,1,2,5] => 0010011
[5,6,8,1,7,3,2,4] => [8,3,7,2,5,6,1,4] => [5,6,7,3,2,8,1,4] => 0100011
[6,5,8,4,3,1,2,7] => [3,1,4,8,6,5,2,7] => [6,5,8,4,3,1,2,7] => 0110101
[1,5,8,3,7,4,2,6] => [1,4,7,8,5,3,2,6] => [1,5,8,3,7,4,2,6] => 0010011
[3,6,8,5,2,7,4,1] => [4,7,3,5,8,6,1,2] => [3,6,8,5,1,7,4,2] => 0011011
[2,1,6,5,4,8,3,7] => [2,1,8,5,6,4,3,7] => [2,1,6,5,4,8,3,7] => 1001101
[2,1,7,8,4,6,5,3] => [2,1,5,6,8,3,7,4] => [2,1,7,8,3,6,5,4] => 1001101
[3,5,7,8,4,6,1,2] => [6,1,3,8,5,4,7,2] => [3,5,7,8,4,6,1,2] => 0000101
[7,8,2,4,3,1,5,6] => [3,4,8,1,2,5,7,6] => [7,8,1,4,3,2,5,6] => 0110001
[6,2,7,1,3,5,8,4] => [7,6,1,8,3,2,5,4] => [8,1,3,6,2,5,7,4] => 0000111
[7,2,4,1,6,3,8,5] => [4,7,6,2,8,1,3,5] => [8,2,6,1,4,3,7,5] => 0010111
[8,4,3,1,7,5,2,6] => [3,4,8,5,7,2,1,6] => [7,5,2,8,4,3,1,6] => 0111011
[7,3,8,5,2,6,4,1] => [4,6,5,8,7,1,3,2] => [7,1,8,5,3,6,4,2] => 0011111
[4,3,8,7,1,6,5,2] => [7,5,4,3,6,1,8,2] => [4,3,6,5,1,8,7,2] => 0011111
[4,7,1,8,5,2,6,3] => [7,5,8,4,6,3,1,2] => [4,6,3,8,5,1,7,2] => 0001111
[4,7,5,6,3,8,2,1] => [2,8,6,4,7,5,3,1] => [4,7,5,6,3,8,2,1] => 1000111
[5,7,2,8,3,6,1,4] => [6,7,8,1,5,3,2,4] => [5,8,1,7,3,6,2,4] => 0000111
[5,1,8,7,4,6,2,3] => [5,6,2,7,1,4,8,3] => [8,7,2,6,4,5,1,3] => 0001111
[6,3,2,1,4,8,5,7] => [2,3,6,1,8,4,5,7] => [8,3,2,1,4,6,5,7] => 1100101
[7,1,8,3,5,4,6,2] => [7,6,8,5,3,4,1,2] => [5,3,8,4,6,1,7,2] => 0001111
[7,2,1,3,4,5,8,6] => [2,7,1,3,4,8,5,6] => [8,2,1,3,4,5,7,6] => 1000011
[8,7,3,5,4,2,1,6] => [2,4,5,7,1,3,8,6] => [8,7,2,1,5,4,3,6] => 1011011
[8,4,6,5,3,2,1,7] => [2,3,5,6,8,1,4,7] => [8,3,2,1,6,5,4,7] => 1101101
[8,3,7,1,4,6,5,2] => [7,5,6,1,8,4,2,3] => [8,1,4,6,5,2,7,3] => 0001111
[2,8,3,6,4,7,5,1] => [5,2,7,8,6,4,1,3] => [2,6,4,8,1,7,5,3] => 0001111
[6,2,1,7,5,8,3,4] => [2,6,8,3,7,1,5,4] => [7,3,8,5,6,2,1,4] => 1000111
[6,7,2,1,5,8,4,3] => [2,7,4,8,1,6,5,3] => [6,8,4,2,1,5,7,3] => 1010011
[9,1,8,7,6,5,4,3,2] => [9,3,4,5,6,7,8,1,2] => [8,7,6,5,4,3,1,9,2] => 01111111
[5,4,8,7,6,1,3,2] => [6,3,1,5,4,7,8,2] => [3,1,5,4,8,7,6,2] => 0101111
[3,1,9,8,7,6,5,4,2] => [3,4,1,5,6,7,8,9,2] => [9,8,7,6,5,4,1,3,2] => 01111111
[10,1,9,8,7,6,5,4,3,2] => [10,3,4,5,6,7,8,9,1,2] => [9,8,7,6,5,4,3,1,10,2] => 011111111
[7,6,1,8,5,4,3,2] => [6,3,4,5,7,8,2,1] => [8,5,4,3,2,7,6,1] => 0111111
[6,5,8,7,4,1,3,2] => [4,3,1,7,6,5,8,2] => [3,1,6,5,8,7,4,2] => 0110111
[3,2,9,8,7,6,5,4,1] => [4,3,2,5,6,7,8,9,1] => [3,2,9,8,7,6,5,4,1] => 01111111
[3,1,10,9,8,7,6,5,4,2] => [3,4,1,5,6,7,8,9,10,2] => [10,9,8,7,6,5,4,1,3,2] => 011111111
[1,6,4,8,3,2,5,7] => [1,3,8,6,2,4,5,7] => [1,6,3,2,8,4,5,7] => 0100101
[1,8,3,5,6,2,4,7] => [1,6,8,2,3,5,4,7] => [1,8,2,5,6,3,4,7] => 0000101
[1,4,8,5,6,2,3,7] => [1,6,2,4,8,5,3,7] => [1,4,8,5,6,2,3,7] => 0000101
[1,2,8,5,3,7,4,6] => [1,2,5,8,7,3,4,6] => [1,2,7,3,8,5,4,6] => 0001011
[1,8,2,5,4,7,3,6] => [1,8,7,5,2,3,4,6] => [1,5,2,7,3,8,4,6] => 0001011
[5,7,4,1,2,3,8,6] => [4,1,2,7,5,8,3,6] => [5,8,4,1,2,3,7,6] => 0010011
[1,7,4,2,5,3,8,6] => [1,4,7,5,3,8,2,6] => [1,5,3,8,4,2,7,6] => 0011011
[6,7,4,2,1,3,8,5] => [2,4,1,7,8,6,3,5] => [6,8,4,2,1,3,7,5] => 1010011
[8,3,7,4,5,6,1,2] => [6,1,8,7,4,5,3,2] => [7,4,5,8,3,6,1,2] => 0000111
[6,8,4,2,3,1,5,7] => [3,4,2,8,1,6,5,7] => [6,8,4,2,3,1,5,7] => 0110001
[3,7,5,2,4,1,6,8] => [4,5,3,2,7,1,6,8] => [3,7,5,2,4,1,6,8] => 0011010
[2,1,7,4,8,3,5,6] => [2,1,8,7,3,5,4,6] => [2,1,7,3,5,8,4,6] => 1000011
[2,8,3,1,4,5,6,7] => [3,2,8,1,4,5,6,7] => [2,8,3,1,4,5,6,7] => 0100001
[7,6,4,5,1,8,2,3] => [5,8,2,6,4,7,1,3] => [7,6,4,8,2,5,1,3] => 0001111
[4,8,1,3,5,7,2,6] => [8,7,1,4,3,2,5,6] => [4,7,1,3,8,2,5,6] => 0000011
[6,5,8,1,3,7,2,4] => [8,7,1,2,6,5,3,4] => [6,5,7,1,8,2,3,4] => 0000111
[3,1,8,5,4,7,6,2] => [3,6,1,5,7,8,2,4] => [8,5,1,3,2,7,6,4] => 0101111
[4,1,5,3,8,7,6,2] => [4,6,5,1,3,7,8,2] => [5,1,8,7,6,3,4,2] => 0011111
[4,5,1,8,2,7,6,3] => [5,8,6,4,1,7,2,3] => [4,7,6,1,8,2,5,3] => 0001111
[4,5,2,1,8,7,6,3] => [2,5,6,4,1,7,8,3] => [4,8,7,6,2,1,5,3] => 1001111
[4,6,2,8,7,1,5,3] => [7,6,5,4,1,2,8,3] => [4,5,1,6,2,8,7,3] => 0001111
[4,6,8,2,7,5,1,3] => [5,7,2,4,8,6,1,3] => [4,6,8,2,7,5,1,3] => 0001011
[4,6,2,8,7,5,1,3] => [5,7,2,4,6,1,8,3] => [4,6,2,8,7,5,1,3] => 0001111
[5,6,7,2,3,1,8,4] => [3,7,2,8,5,6,1,4] => [5,6,8,2,3,1,7,4] => 0100011
[5,6,7,2,1,8,3,4] => [2,7,8,3,5,6,1,4] => [5,6,8,3,7,2,1,4] => 1000011
[5,6,1,7,8,2,4,3] => [6,8,4,2,5,1,7,3] => [4,2,5,7,8,1,6,3] => 0010101
[4,1,6,8,7,3,5,2] => [4,5,7,1,3,6,8,2] => [6,8,7,1,5,3,4,2] => 0011011
[4,1,6,8,7,5,3,2] => [4,3,5,1,7,6,8,2] => [6,8,7,5,3,1,4,2] => 0111011
[5,1,6,7,4,8,3,2] => [5,3,8,7,1,6,4,2] => [6,7,3,1,8,4,5,2] => 0101011
[5,6,1,7,8,4,2,3] => [6,4,2,8,5,1,7,3] => [5,7,8,4,2,6,1,3] => 0010101
[4,8,6,1,7,5,3,2] => [6,3,5,4,8,7,2,1] => [4,7,5,3,2,8,6,1] => 0101111
[5,6,7,1,3,8,2,4] => [7,8,1,2,5,6,3,4] => [5,6,8,1,7,2,3,4] => 0000011
[5,6,7,1,3,2,8,4] => [7,3,1,8,5,6,2,4] => [3,1,5,6,8,2,7,4] => 0100011
[5,6,7,3,1,2,8,4] => [3,1,7,8,5,6,2,4] => [5,6,8,3,1,2,7,4] => 0100011
[5,6,7,3,8,1,2,4] => [8,1,7,2,5,6,3,4] => [5,6,7,1,2,8,3,4] => 0000011
[5,6,8,7,4,2,1,3] => [2,4,1,7,5,6,8,3] => [5,6,8,7,4,2,1,3] => 1010011
[5,6,7,3,8,2,1,4] => [2,8,7,1,5,6,3,4] => [5,6,7,2,1,8,3,4] => 1000011
[1,4,8,6,3,2,5,7] => [1,3,6,4,2,8,5,7] => [1,4,8,6,3,2,5,7] => 0100101
[7,6,3,1,5,8,4,2] => [3,6,4,7,1,8,5,2] => [8,4,1,5,7,6,3,2] => 0110111
[4,2,5,7,6,3,1,8] => [3,6,4,1,5,7,2,8] => [4,1,5,7,6,3,2,8] => 0110110
[3,2,5,1,4,8,7,6] => [5,3,2,1,4,7,8,6] => [3,2,5,1,4,8,7,6] => 0101011
[8,5,4,1,3,2,7,6] => [4,3,1,5,8,7,2,6] => [3,1,7,5,4,2,8,6] => 0111011
[1,4,2,3,6,8,7,5] => [1,4,2,3,7,6,8,5] => [1,4,2,3,6,8,7,5] => 0010011
[5,4,8,3,7,1,6,2] => [7,6,8,5,4,1,3,2] => [5,4,8,1,6,3,7,2] => 0001111
[6,4,1,8,5,3,7,2] => [4,6,7,5,8,2,1,3] => [8,5,2,7,1,6,4,3] => 0011111
[6,1,4,7,2,8,3,5] => [6,7,8,1,3,4,2,5] => [8,1,7,3,4,6,2,5] => 0000111
[3,2,1,7,6,8,4,5] => [2,3,1,8,4,7,6,5] => [3,2,1,7,6,8,4,5] => 1100011
[7,8,4,6,3,2,1,5] => [2,3,6,8,1,4,7,5] => [7,8,3,2,1,6,4,5] => 1100101
[1,8,6,5,3,7,2,4] => [1,7,5,2,6,8,3,4] => [1,8,6,5,2,7,3,4] => 0001111
[3,8,5,2,7,6,1,4] => [6,5,3,2,7,8,1,4] => [3,8,5,2,7,6,1,4] => 0001111
[4,7,5,3,1,8,6,2] => [3,5,7,4,6,8,1,2] => [4,8,6,1,7,5,3,2] => 0101111
[1,5,4,6,7,8,2,3] => [1,8,2,5,4,6,7,3] => [1,5,4,6,7,8,2,3] => 0001001
[7,4,5,2,6,8,1,3] => [8,5,1,7,4,2,6,3] => [7,4,5,1,6,8,2,3] => 0001011
[7,8,4,3,1,2,6,5] => [3,1,4,8,6,2,7,5] => [6,4,3,1,2,7,8,5] => 0110101
[5,7,4,1,3,8,6,2] => [4,7,2,6,5,8,3,1] => [5,8,6,2,3,7,4,1] => 0010111
[7,5,4,2,3,8,1,6] => [8,4,2,5,7,1,3,6] => [7,5,4,2,8,1,3,6] => 0011011
[7,8,1,3,5,6,2,4] => [8,6,1,2,3,5,7,4] => [6,1,5,7,8,2,3,4] => 0000101
[7,8,3,1,5,6,2,4] => [3,8,6,1,2,5,7,4] => [6,1,5,7,8,3,2,4] => 0100101
[1,7,8,3,5,6,2,4] => [1,6,8,2,3,5,7,4] => [1,7,8,2,5,6,3,4] => 0000101
[3,1,7,8,5,2,6,4] => [3,5,1,8,6,4,7,2] => [6,4,7,8,5,1,3,2] => 0101101
[1,3,7,5,8,2,6,4] => [1,8,3,6,7,2,5,4] => [1,3,7,2,6,5,8,4] => 0000111
[3,5,7,1,8,4,6,2] => [7,6,3,8,5,4,1,2] => [3,5,8,4,6,1,7,2] => 0000111
[5,3,7,8,4,6,1,2] => [6,1,5,8,3,4,7,2] => [7,8,3,5,4,6,1,2] => 0001101
[5,3,7,8,4,1,6,2] => [4,8,6,5,1,2,7,3] => [5,1,6,2,7,8,4,3] => 0011101
[5,3,7,8,1,4,6,2] => [8,6,5,1,3,4,7,2] => [5,1,6,3,4,7,8,2] => 0001101
[1,5,3,7,8,4,2,6] => [1,4,8,5,2,3,7,6] => [1,5,2,7,8,4,3,6] => 0011001
[3,6,2,1,4,5,8,7] => [2,6,3,1,4,5,8,7] => [3,6,2,1,4,5,8,7] => 1000101
[4,6,2,5,1,3,8,7] => [5,6,1,4,2,3,8,7] => [4,6,1,5,2,3,8,7] => 0001101
[6,4,2,5,1,3,8,7] => [5,4,1,6,2,3,8,7] => [6,4,1,5,2,3,8,7] => 0011101
[8,6,1,7,3,2,4,5] => [6,3,8,1,4,7,2,5] => [7,3,1,4,8,6,2,5] => 0100111
[8,6,2,7,4,5,1,3] => [5,6,1,8,2,7,4,3] => [7,1,8,6,4,5,2,3] => 0001111
[4,2,3,8,1,5,6,7] => [8,4,2,3,1,5,6,7] => [4,2,3,8,1,5,6,7] => 0010001
[2,1,5,8,4,3,6,7] => [2,1,4,8,5,3,6,7] => [2,1,5,8,4,3,6,7] => 1010001
[5,1,8,4,6,2,3,7] => [5,6,2,8,1,4,3,7] => [8,2,6,4,5,1,3,7] => 0001101
[3,1,8,4,2,5,6,7] => [3,4,1,8,2,5,6,7] => [8,4,1,3,2,5,6,7] => 0110001
[3,8,4,2,1,5,6,7] => [2,4,3,8,1,5,6,7] => [3,8,4,2,1,5,6,7] => 1010001
[3,4,2,8,1,5,6,7] => [8,4,3,2,1,5,6,7] => [3,4,2,8,1,5,6,7] => 0010001
[3,8,5,2,7,1,4,6] => [7,5,3,1,8,4,2,6] => [3,8,5,1,4,7,2,6] => 0001011
[4,1,7,5,6,2,8,3] => [4,6,8,1,7,5,2,3] => [7,5,8,1,6,2,4,3] => 0010111
[5,7,4,3,8,2,6,1] => [6,8,4,7,5,2,3,1] => [5,7,4,2,8,3,6,1] => 0010111
[3,8,4,2,6,7,5,1] => [5,4,3,7,8,1,6,2] => [3,8,4,1,6,7,5,2] => 0011011
[3,8,4,1,6,7,5,2] => [4,8,3,5,7,2,6,1] => [3,7,5,2,6,8,4,1] => 0011011
[6,1,7,5,2,8,4,3] => [6,5,4,7,8,1,3,2] => [8,4,1,7,5,3,6,2] => 0011111
[2,6,7,5,3,8,4,1] => [4,2,8,5,7,6,1,3] => [2,6,7,5,1,8,4,3] => 0011011
[2,1,6,7,5,3,8,4] => [2,1,5,7,8,6,4,3] => [2,1,6,8,4,7,5,3] => 1001011
[6,7,4,8,1,2,5,3] => [8,1,5,7,2,6,4,3] => [6,7,1,2,5,4,8,3] => 0001011
[6,7,4,8,3,1,2,5] => [3,1,8,7,2,6,4,5] => [6,7,3,1,2,8,4,5] => 0100011
[3,4,8,2,1,5,7,6] => [2,8,3,4,1,7,5,6] => [3,4,7,2,1,5,8,6] => 1000011
[6,7,5,8,3,1,4,2] => [3,8,4,2,7,6,5,1] => [4,2,6,7,5,8,3,1] => 0110011
[6,7,4,8,2,3,5,1] => [5,8,2,7,3,6,4,1] => [6,7,2,3,8,4,5,1] => 0001011
[6,7,4,8,1,3,2,5] => [8,3,1,7,2,6,4,5] => [3,1,6,7,2,8,4,5] => 0100011
[6,7,5,8,4,1,3,2] => [4,3,1,8,7,6,5,2] => [3,1,6,7,5,8,4,2] => 0110011
[6,7,4,8,2,1,3,5] => [2,8,1,7,3,6,4,5] => [6,7,2,1,3,8,4,5] => 1000011
[6,7,4,8,1,2,3,5] => [8,1,2,7,3,6,4,5] => [6,7,1,2,3,8,4,5] => 0000011
[1,5,6,3,4,8,2,7] => [1,8,6,3,5,4,2,7] => [1,5,6,3,4,8,2,7] => 0000101
[1,4,3,6,5,8,2,7] => [1,8,4,3,6,5,2,7] => [1,4,3,6,5,8,2,7] => 0010101
[5,1,7,3,4,8,2,6] => [5,8,7,3,1,2,4,6] => [7,3,8,1,5,2,4,6] => 0001011
[1,8,3,4,7,6,2,5] => [1,6,7,2,3,8,4,5] => [1,8,2,7,6,3,4,5] => 0000111
[8,7,2,3,6,5,4,1] => [4,5,2,6,7,3,8,1] => [8,7,2,3,6,5,4,1] => 0011111
[3,8,1,7,5,2,6,4] => [8,5,3,7,6,4,1,2] => [3,6,4,7,5,1,8,2] => 0001111
[4,8,1,6,7,2,5,3] => [8,7,5,4,2,1,6,3] => [4,5,2,7,1,6,8,3] => 0001011
[8,2,1,7,4,3,6,5] => [2,8,4,7,6,3,1,5] => [6,4,3,7,2,1,8,5] => 1010111
[1,3,2,8,5,4,6,7] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => 0101001
[8,3,1,5,7,2,6,4] => [3,8,7,6,2,1,5,4] => [6,2,7,3,1,5,8,4] => 0100111
[8,4,5,7,6,3,2,1] => [2,3,6,7,1,8,5,4] => [8,3,2,1,5,7,6,4] => 1100111
[1,4,8,5,7,6,2,3] => [1,6,2,4,7,8,3,5] => [1,4,8,2,3,7,6,5] => 0000111
[3,2,8,7,5,4,6,1] => [6,3,2,5,7,4,8,1] => [3,2,8,7,5,4,6,1] => 0101111
[5,1,7,8,6,4,2,3] => [5,4,2,6,1,8,7,3] => [7,8,6,4,2,5,1,3] => 0011101
[7,8,3,2,6,1,4,5] => [6,3,8,1,4,2,7,5] => [7,8,3,1,4,6,2,5] => 0100101
[7,8,1,4,5,6,3,2] => [8,3,6,1,4,5,7,2] => [6,3,1,4,5,7,8,2] => 0100101
[6,2,4,8,1,5,3,7] => [8,6,5,2,1,4,3,7] => [5,2,6,1,4,8,3,7] => 0001101
[4,2,6,8,1,5,3,7] => [8,4,5,2,1,6,3,7] => [5,2,4,1,6,8,3,7] => 0011001
[6,2,1,8,4,5,3,7] => [2,6,5,8,4,1,3,7] => [8,4,5,2,1,6,3,7] => 1001101
[1,2,7,8,5,3,4,6] => [1,2,5,3,8,4,7,6] => [1,2,7,8,5,3,4,6] => 0001001
[2,1,4,8,6,5,3,7] => [2,1,5,4,6,8,3,7] => [2,1,4,8,6,5,3,7] => 1001101
[4,2,1,8,6,5,3,7] => [2,4,5,1,6,8,3,7] => [8,6,5,2,1,4,3,7] => 1011101
[3,2,7,8,5,1,4,6] => [5,3,2,1,8,4,7,6] => [3,2,7,8,5,1,4,6] => 0101001
[3,6,2,8,5,1,4,7] => [5,8,3,2,6,1,4,7] => [3,6,2,8,5,1,4,7] => 0001101
[4,1,2,8,7,5,3,6] => [4,1,5,2,7,3,8,6] => [8,7,5,1,2,4,3,6] => 0011011
[1,2,6,8,4,5,3,7] => [1,2,5,8,4,6,3,7] => [1,2,6,8,4,5,3,7] => 0001001
[6,5,7,1,8,4,3,2] => [7,3,4,8,6,5,1,2] => [6,5,8,4,3,1,7,2] => 0110111
[5,7,6,1,8,4,3,2] => [6,3,4,7,5,8,2,1] => [5,8,4,3,2,7,6,1] => 0110111
[6,7,1,5,8,4,3,2] => [7,3,4,8,1,6,5,2] => [6,8,4,3,1,5,7,2] => 0110011
[6,7,3,8,5,4,1,2] => [4,1,5,8,7,6,3,2] => [6,7,3,8,5,4,1,2] => 0011011
[7,1,2,8,4,5,3,6] => [7,1,5,8,4,3,2,6] => [8,4,5,3,7,1,2,6] => 0001011
[7,6,1,5,8,4,3,2] => [6,3,4,7,2,8,5,1] => [8,4,3,2,5,7,6,1] => 0110111
[7,5,6,1,8,4,3,2] => [6,3,4,8,7,5,1,2] => [7,5,8,4,3,1,6,2] => 0110111
[7,1,6,5,3,2,4,8] => [7,3,5,2,6,1,4,8] => [6,5,3,2,7,1,4,8] => 0101110
[1,8,7,5,3,2,4,6] => [1,3,5,2,7,4,8,6] => [1,8,7,5,3,2,4,6] => 0101011
[1,8,7,4,2,5,3,6] => [1,4,7,5,3,2,8,6] => [1,5,3,8,7,4,2,6] => 0011011
[8,7,4,2,5,3,6,1] => [6,4,7,5,3,2,8,1] => [5,3,8,7,4,2,6,1] => 0011111
[2,6,5,4,7,1,3,8] => [7,2,1,5,6,4,3,8] => [2,6,5,4,7,1,3,8] => 0001110
[7,1,5,3,6,4,2,8] => [7,4,6,5,1,2,3,8] => [5,1,6,4,2,7,3,8] => 0011110
[1,5,3,8,7,4,2,6] => [1,4,7,5,2,3,8,6] => [1,5,2,8,7,4,3,6] => 0011011
[5,3,6,1,8,7,4,2] => [6,4,7,5,2,1,8,3] => [5,2,8,7,4,1,6,3] => 0011111
[6,1,5,3,8,7,4,2] => [6,4,7,5,1,2,8,3] => [5,1,8,7,4,2,6,3] => 0011111
[2,8,7,5,4,6,1,3] => [6,2,1,5,7,4,8,3] => [2,8,7,5,4,6,1,3] => 0001111
[2,3,1,8,7,5,4,6] => [3,2,1,5,7,4,8,6] => [2,3,1,8,7,5,4,6] => 0101011
[5,3,8,7,4,2,1,6] => [2,4,7,5,1,3,8,6] => [5,2,1,8,7,4,3,6] => 1011011
[6,3,8,5,2,1,7,4] => [2,5,8,6,7,4,3,1] => [7,4,6,3,8,5,2,1] => 1001111
[8,6,3,7,4,2,1,5] => [2,4,7,6,3,8,1,5] => [8,6,3,7,4,2,1,5] => 1010111
[5,1,8,6,3,7,4,2] => [5,4,7,6,1,8,2,3] => [8,6,1,7,4,2,5,3] => 0011111
[6,3,7,4,1,8,5,2] => [4,7,5,8,6,3,2,1] => [6,3,8,5,2,7,4,1] => 0011111
[8,5,2,6,3,7,4,1] => [4,7,5,8,6,1,3,2] => [6,1,8,5,3,7,4,2] => 0011111
[8,6,3,7,4,2,5,1] => [5,4,7,6,3,8,2,1] => [8,6,3,7,4,2,5,1] => 0011111
[1,8,6,3,2,4,7,5] => [1,3,6,2,8,7,5,4] => [1,7,5,8,6,3,2,4] => 0100111
[8,6,3,2,4,7,5,1] => [5,3,7,1,6,8,4,2] => [8,6,3,1,4,7,5,2] => 0101111
[7,5,1,8,6,3,2,4] => [5,3,7,1,6,8,2,4] => [8,6,3,1,7,5,2,4] => 0101111
[6,1,8,7,5,3,2,4] => [6,3,5,2,7,1,8,4] => [8,7,5,3,2,6,1,4] => 0101111
[4,3,2,8,7,6,1,5] => [6,3,4,2,1,7,8,5] => [4,3,2,8,7,6,1,5] => 0110111
[2,4,5,1,3,8,7,6] => [5,2,1,4,3,7,8,6] => [2,4,5,1,3,8,7,6] => 0001011
[7,5,8,6,3,2,4,1] => [4,3,6,2,8,7,1,5] => [7,3,2,4,1,8,6,5] => 0110111
[1,7,5,8,6,3,2,4] => [1,3,6,2,8,7,4,5] => [1,7,3,2,4,8,6,5] => 0100111
[8,6,3,1,7,4,2,5] => [3,6,4,8,2,7,1,5] => [7,4,2,8,6,3,1,5] => 0110111
[5,3,1,8,7,4,2,6] => [3,5,4,7,2,1,8,6] => [8,7,4,2,5,3,1,6] => 0111011
[4,1,8,7,5,3,2,6] => [4,3,5,1,7,2,8,6] => [8,7,5,3,1,4,2,6] => 0111011
[2,8,6,4,1,3,7,5] => [4,2,1,6,8,7,5,3] => [2,7,5,8,6,4,1,3] => 0010111
[4,1,8,6,3,2,7,5] => [4,3,6,1,8,7,5,2] => [7,5,8,6,3,1,4,2] => 0110111
[6,3,1,8,5,2,7,4] => [3,6,5,8,7,2,4,1] => [7,2,8,5,4,6,3,1] => 0101111
[7,4,8,5,2,6,3,1] => [3,6,5,8,7,4,1,2] => [7,4,8,5,1,6,3,2] => 0101111
[7,4,6,3,1,8,5,2] => [3,6,5,8,7,1,2,4] => [7,1,8,5,3,2,6,4] => 0101111
[6,3,1,7,4,8,5,2] => [3,6,5,8,7,2,1,4] => [7,2,8,5,3,1,6,4] => 0101111
[8,6,3,1,5,7,4,2] => [3,6,4,8,1,7,5,2] => [7,4,1,5,8,6,3,2] => 0110111
[4,1,7,5,8,6,3,2] => [4,3,6,1,8,7,2,5] => [7,3,1,4,2,8,6,5] => 0110111
[7,4,8,5,2,1,6,3] => [2,5,8,6,7,3,1,4] => [7,3,6,2,1,8,5,4] => 1001111
[8,5,2,1,7,4,6,3] => [2,5,8,6,7,1,3,4] => [7,2,1,6,3,8,5,4] => 1001111
[3,6,5,2,1,4,8,7] => [2,5,3,1,6,4,8,7] => [3,6,5,2,1,4,8,7] => 1001101
[3,5,6,2,1,4,8,7] => [2,6,3,1,5,4,8,7] => [3,5,6,2,1,4,8,7] => 1000101
[2,1,5,8,7,4,3,6] => [2,1,4,7,5,3,8,6] => [2,1,5,8,7,4,3,6] => 1010011
[2,1,5,7,8,4,3,6] => [2,1,4,8,5,3,7,6] => [2,1,5,7,8,4,3,6] => 1010001
[4,7,2,8,3,6,1,5] => [6,7,8,4,1,3,2,5] => [4,8,1,7,3,6,2,5] => 0000111
[4,6,2,7,3,1,8,5] => [3,7,6,4,8,1,2,5] => [4,8,1,6,3,2,7,5] => 0100111
[3,7,8,2,4,1,6,5] => [4,8,3,2,6,1,7,5] => [3,6,2,4,1,7,8,5] => 0010101
[3,8,6,2,4,1,7,5] => [4,6,3,2,8,7,5,1] => [3,7,5,8,6,2,4,1] => 0010111
[6,3,4,8,1,7,2,5] => [8,7,6,3,2,4,1,5] => [6,3,7,2,4,8,1,5] => 0000111
[5,3,4,8,1,2,7,6] => [8,1,5,3,4,7,2,6] => [5,3,4,7,1,2,8,6] => 0001011
[3,5,4,8,1,2,7,6] => [8,1,3,5,4,7,2,6] => [3,5,4,7,1,2,8,6] => 0001011
[4,5,3,8,1,2,7,6] => [8,1,5,4,3,7,2,6] => [4,5,3,7,1,2,8,6] => 0001011
[6,4,3,8,1,7,2,5] => [8,7,4,6,2,3,1,5] => [6,4,2,7,3,8,1,5] => 0010111
[6,5,3,8,7,1,2,4] => [7,1,5,2,6,3,8,4] => [6,5,1,2,8,7,3,4] => 0001111
[4,6,3,8,1,7,2,5] => [8,7,6,4,2,3,1,5] => [4,6,2,7,3,8,1,5] => 0000111
[1,8,7,4,2,6,3,5] => [1,4,7,6,2,3,8,5] => [1,6,2,8,7,4,3,5] => 0010111
[2,7,8,5,6,1,3,4] => [6,2,1,3,8,5,7,4] => [2,7,8,5,6,1,3,4] => 0000101
[1,8,7,5,6,2,3,4] => [1,6,2,3,7,5,8,4] => [1,8,7,5,6,2,3,4] => 0000111
[2,6,8,5,7,1,3,4] => [7,2,1,3,8,6,5,4] => [2,6,8,5,7,1,3,4] => 0000011
[5,3,6,8,7,1,2,4] => [7,1,5,2,3,6,8,4] => [5,1,2,6,8,7,3,4] => 0001011
[6,3,5,8,7,1,2,4] => [7,1,6,2,3,5,8,4] => [6,1,2,5,8,7,3,4] => 0000111
[5,2,8,6,7,1,3,4] => [7,5,1,3,2,8,6,4] => [5,1,3,8,6,7,2,4] => 0001011
[6,2,8,7,5,1,3,4] => [5,7,2,3,6,1,8,4] => [6,2,3,8,7,5,1,4] => 0001111
[1,8,5,7,6,2,3,4] => [1,6,2,3,7,8,4,5] => [1,8,2,3,4,7,6,5] => 0000111
[7,4,6,5,8,1,2,3] => [8,1,2,7,6,4,5,3] => [6,4,7,5,8,1,2,3] => 0000111
[3,6,7,8,5,1,2,4] => [5,1,3,2,8,6,7,4] => [3,6,7,8,5,1,2,4] => 0001001
[2,6,8,7,5,1,3,4] => [5,2,1,3,7,6,8,4] => [2,6,8,7,5,1,3,4] => 0001011
[1,8,6,7,5,2,3,4] => [1,5,2,3,7,8,6,4] => [1,8,6,7,5,2,3,4] => 0001011
[2,7,8,6,5,1,3,4] => [5,2,1,3,6,8,7,4] => [2,7,8,6,5,1,3,4] => 0001101
[5,7,6,4,8,1,2,3] => [8,1,2,6,5,7,4,3] => [5,7,6,4,8,1,2,3] => 0000111
[6,3,8,7,5,1,2,4] => [5,1,7,3,6,2,8,4] => [6,3,8,7,5,1,2,4] => 0001111
[2,8,7,4,1,3,5,6] => [4,2,1,7,3,5,8,6] => [2,8,7,4,1,3,5,6] => 0010011
[5,4,8,7,1,3,2,6] => [7,3,1,5,4,2,8,6] => [3,1,5,4,8,7,2,6] => 0101011
[4,8,6,1,3,2,5,7] => [6,3,1,4,2,8,5,7] => [3,1,4,8,6,2,5,7] => 0100101
[5,4,2,7,6,8,1,3] => [8,4,1,5,2,7,6,3] => [5,4,1,7,6,8,2,3] => 0011011
[2,8,7,1,4,5,3,6] => [7,2,5,1,4,3,8,6] => [2,5,1,4,8,7,3,6] => 0001011
[4,2,1,8,7,3,5,6] => [2,4,7,1,3,5,8,6] => [8,7,2,1,4,3,5,6] => 1010011
[5,1,6,3,2,8,7,4] => [5,3,6,7,1,2,8,4] => [8,7,3,1,6,2,5,4] => 0101111
[4,6,1,8,7,3,2,5] => [6,3,7,4,2,1,8,5] => [4,8,7,3,2,6,1,5] => 0100111
[5,3,1,4,8,7,2,6] => [3,5,7,2,4,1,8,6] => [8,7,2,4,5,3,1,6] => 0101011
[4,3,5,2,8,7,1,6] => [7,5,4,3,2,1,8,6] => [4,3,5,2,8,7,1,6] => 0011011
[3,4,2,8,6,1,5,7] => [6,4,3,2,1,8,5,7] => [3,4,2,8,6,1,5,7] => 0010101
[3,7,2,1,8,6,4,5] => [2,7,3,6,4,8,1,5] => [3,8,6,4,7,2,1,5] => 1000111
[2,8,6,1,7,3,5,4] => [6,2,8,5,1,7,3,4] => [2,5,1,7,3,8,6,4] => 0001111
[1,7,6,3,5,8,2,4] => [1,8,6,2,3,7,5,4] => [1,7,6,2,5,8,3,4] => 0000111
[3,7,5,1,6,8,2,4] => [5,7,3,1,8,2,6,4] => [3,8,1,6,7,5,2,4] => 0001011
[3,6,5,8,1,4,7,2] => [8,7,3,1,6,5,4,2] => [3,6,5,7,1,4,8,2] => 0000111
[3,6,7,4,1,8,2,5] => [4,7,3,8,1,6,2,5] => [3,6,8,1,7,4,2,5] => 0010011
[1,7,4,6,8,2,5,3] => [1,8,5,7,2,4,6,3] => [1,7,2,5,4,6,8,3] => 0001011
[7,5,8,2,6,3,1,4] => [3,6,8,2,7,1,5,4] => [7,2,8,5,6,3,1,4] => 0100111
[7,3,2,6,1,8,5,4] => [6,3,7,5,8,2,1,4] => [8,5,3,2,7,1,6,4] => 0101111
[6,4,7,2,3,1,8,5] => [3,7,2,6,8,4,1,5] => [8,4,6,2,3,1,7,5] => 0100111
[3,8,1,6,7,4,2,5] => [8,4,3,7,2,1,6,5] => [3,7,4,2,6,8,1,5] => 0010011
[2,7,4,3,6,8,1,5] => [8,2,4,7,1,3,6,5] => [2,7,4,1,6,8,3,5] => 0010011
[4,7,3,8,5,2,1,6] => [2,5,8,4,7,3,1,6] => [4,7,3,8,5,2,1,6] => 1001011
[7,4,1,6,3,2,8,5] => [4,3,7,6,8,2,1,5] => [8,3,2,6,4,1,7,5] => 0110111
[3,8,6,2,7,4,1,5] => [4,7,3,6,2,8,1,5] => [3,8,6,2,7,4,1,5] => 0010111
[8,1,2,4,6,7,5,3] => [8,1,5,2,7,4,6,3] => [7,5,1,2,4,6,8,3] => 0001011
[8,1,3,6,7,5,4,2] => [8,4,1,5,7,3,6,2] => [7,5,4,1,3,6,8,2] => 0011011
[7,5,2,3,8,6,1,4] => [6,5,1,2,8,7,3,4] => [7,5,1,8,6,2,3,4] => 0001111
[8,6,2,4,1,3,7,5] => [4,6,1,2,8,7,5,3] => [7,5,8,6,1,4,2,3] => 0010111
[8,4,5,7,6,1,3,2] => [6,3,1,7,2,8,5,4] => [3,1,8,2,5,7,6,4] => 0100111
[8,3,1,4,5,7,6,2] => [3,8,6,2,4,7,5,1] => [7,6,2,4,5,8,3,1] => 0100111
[3,5,1,6,8,4,7,2] => [5,7,3,8,1,6,4,2] => [3,6,8,1,7,4,5,2] => 0001011
[6,1,5,7,3,8,4,2] => [6,4,8,7,1,5,2,3] => [7,1,5,8,4,2,6,3] => 0010111
[5,8,4,7,3,2,6,1] => [6,3,7,8,5,2,4,1] => [5,8,3,2,7,4,6,1] => 0100111
[7,2,6,5,8,4,1,3] => [4,8,2,7,6,1,5,3] => [6,2,7,5,8,4,1,3] => 0010111
[8,3,2,5,1,6,7,4] => [5,3,8,7,2,1,6,4] => [7,3,2,6,8,1,5,4] => 0101011
[2,6,8,3,7,4,1,5] => [4,2,7,8,3,6,1,5] => [2,6,8,3,7,4,1,5] => 0010011
[2,5,8,1,6,4,7,3] => [8,2,7,6,5,1,4,3] => [2,5,6,1,7,4,8,3] => 0000111
[7,4,1,8,3,2,6,5] => [4,3,7,8,6,1,2,5] => [6,3,1,8,4,2,7,5] => 0110111
[3,6,5,8,4,1,7,2] => [4,8,3,7,6,5,2,1] => [3,6,5,7,2,8,4,1] => 0010111
[7,3,6,1,8,4,5,2] => [6,5,7,8,4,3,1,2] => [8,4,7,3,5,1,6,2] => 0001111
[8,2,7,3,4,6,5,1] => [5,6,8,1,7,4,3,2] => [7,1,4,8,3,6,5,2] => 0001111
[5,7,3,1,6,4,8,2] => [3,7,8,6,5,2,4,1] => [5,6,2,8,4,7,3,1] => 0100111
[6,1,3,2,4,8,7,5] => [6,3,1,2,7,4,8,5] => [3,1,8,7,2,4,6,5] => 0100111
[8,7,4,2,3,6,1,5] => [6,4,2,7,1,3,8,5] => [8,7,4,2,6,1,3,5] => 0010111
[8,7,1,5,4,2,3,6] => [7,4,2,5,1,3,8,6] => [5,4,2,8,7,1,3,6] => 0011011
[3,7,1,5,2,8,6,4] => [7,5,3,6,1,8,2,4] => [3,8,6,1,5,2,7,4] => 0001111
[8,7,2,5,4,1,3,6] => [4,5,2,7,1,3,8,6] => [8,7,2,5,4,1,3,6] => 0011011
[8,7,2,5,3,1,4,6] => [3,5,7,2,1,4,8,6] => [8,7,2,5,3,1,4,6] => 0101011
[5,2,8,7,1,4,3,6] => [7,5,4,1,2,3,8,6] => [4,1,5,2,8,7,3,6] => 0011011
[8,1,6,2,7,5,3,4] => [8,6,5,3,7,1,2,4] => [7,5,3,6,1,8,2,4] => 0001111
[7,1,6,2,8,5,3,4] => [7,6,5,3,8,1,2,4] => [8,5,3,6,1,7,2,4] => 0001111
[6,3,4,1,7,2,8,5] => [4,7,6,3,8,1,2,5] => [8,3,6,1,4,2,7,5] => 0010111
[7,2,4,3,5,1,8,6] => [5,7,4,2,3,8,1,6] => [4,2,8,3,5,1,7,6] => 0011011
[5,1,7,2,3,8,6,4] => [5,7,2,6,1,8,3,4] => [8,6,2,7,1,3,5,4] => 0001111
[7,6,3,1,4,8,2,5] => [3,6,7,1,2,8,4,5] => [8,1,7,6,3,2,4,5] => 0100111
[6,1,8,2,7,5,3,4] => [6,8,5,3,7,1,2,4] => [7,5,3,8,1,6,2,4] => 0001111
[7,2,8,1,6,5,3,4] => [8,7,5,3,6,1,2,4] => [6,5,3,7,1,8,2,4] => 0001111
[5,1,7,4,3,8,2,6] => [5,8,4,7,1,2,3,6] => [7,4,1,8,2,5,3,6] => 0011011
[7,4,8,2,1,5,3,6] => [2,8,5,7,1,3,4,6] => [7,2,1,5,3,8,4,6] => 1001011
[8,2,4,1,6,3,7,5] => [4,8,6,2,7,1,3,5] => [7,2,6,1,4,3,8,5] => 0010111
[6,1,7,3,2,8,5,4] => [6,3,7,5,8,1,2,4] => [8,5,3,1,7,2,6,4] => 0101111
[4,7,2,1,6,3,8,5] => [2,7,6,4,8,1,3,5] => [4,8,2,1,6,3,7,5] => 1000111
[5,3,1,6,2,8,4,7] => [3,5,6,8,2,1,4,7] => [8,2,6,3,1,5,4,7] => 0101101
[6,1,5,2,8,4,3,7] => [6,5,4,8,1,2,3,7] => [8,4,1,5,2,6,3,7] => 0011101
[7,4,8,1,5,3,2,6] => [8,3,5,7,1,2,4,6] => [7,3,1,5,2,8,4,6] => 0101011
[8,5,1,3,7,4,2,6] => [5,4,2,8,7,1,3,6] => [7,4,2,8,5,1,3,6] => 0011011
[4,8,5,6,1,7,3,2] => [6,3,7,4,8,5,1,2] => [4,8,5,7,3,1,6,2] => 0100111
[6,7,1,3,8,5,2,4] => [7,5,1,2,8,6,3,4] => [6,8,5,1,7,2,3,4] => 0001011
[7,1,3,8,4,2,6,5] => [7,4,1,8,6,2,3,5] => [6,4,1,8,2,3,7,5] => 0010111
[5,6,2,8,1,3,7,4] => [8,6,1,7,5,2,3,4] => [5,7,1,6,2,3,8,4] => 0000111
[7,4,1,5,8,3,2,6] => [4,3,7,8,2,1,5,6] => [8,3,2,7,4,1,5,6] => 0110011
[6,1,8,4,5,2,7,3] => [6,5,7,8,4,1,2,3] => [8,4,7,1,5,2,6,3] => 0001111
[3,5,2,7,1,6,8,4] => [7,5,3,8,2,1,6,4] => [3,8,2,5,1,6,7,4] => 0001011
[4,5,7,3,1,6,8,2] => [3,7,8,4,5,2,6,1] => [4,5,8,2,6,7,3,1] => 0100011
[4,5,7,2,8,6,1,3] => [6,8,2,4,5,7,1,3] => [4,5,7,2,8,6,1,3] => 0000111
[4,5,7,2,8,1,3,6] => [8,7,1,4,5,3,2,6] => [4,5,7,1,3,8,2,6] => 0000011
[4,6,7,2,1,5,8,3] => [2,7,8,4,1,6,5,3] => [4,6,8,2,1,5,7,3] => 1000011
[4,6,7,1,3,8,5,2] => [7,5,1,4,8,6,3,2] => [4,6,8,5,1,3,7,2] => 0001011
[3,6,1,5,7,8,4,2] => [6,4,3,8,1,5,7,2] => [3,7,8,4,1,5,6,2] => 0010101
[4,6,7,1,5,8,3,2] => [7,3,8,4,1,6,5,2] => [4,6,8,3,1,5,7,2] => 0100011
[6,1,3,7,4,8,5,2] => [6,5,1,8,7,3,2,4] => [7,1,3,8,5,2,6,4] => 0001111
[4,1,5,2,7,6,3,8] => [4,5,6,1,2,7,3,8] => [7,6,1,5,2,4,3,8] => 0011110
[2,5,1,3,7,6,4,8] => [5,2,1,6,3,7,4,8] => [2,7,6,1,3,5,4,8] => 0001110
[5,3,2,1,7,6,4,8] => [2,3,5,6,1,7,4,8] => [7,6,3,2,1,5,4,8] => 1101110
[7,4,3,2,8,1,6,5] => [8,3,4,7,6,1,2,5] => [6,4,3,1,7,2,8,5] => 0110111
[7,6,2,4,8,3,5,1] => [5,6,7,3,2,8,4,1] => [8,3,7,6,2,4,5,1] => 0001111
[8,6,3,2,7,5,4,1] => [4,3,5,7,6,8,2,1] => [8,6,3,2,7,5,4,1] => 0111111
[8,3,2,7,1,6,4,5] => [7,3,8,6,4,1,2,5] => [6,4,8,3,1,7,2,5] => 0100111
[8,5,7,4,3,6,2,1] => [2,6,4,7,8,3,5,1] => [8,4,3,7,5,6,2,1] => 1010111
[2,8,5,6,1,4,3,7] => [6,2,4,1,8,5,3,7] => [2,4,1,8,5,6,3,7] => 0010101
[7,6,4,8,3,2,5,1] => [5,3,8,6,2,7,4,1] => [7,6,3,2,8,4,5,1] => 0101111
[3,6,8,2,1,5,7,4] => [2,8,3,7,1,6,5,4] => [3,6,7,2,1,5,8,4] => 1000011
[2,7,4,1,8,3,6,5] => [4,2,7,8,6,1,3,5] => [2,6,1,8,4,3,7,5] => 0010111
[4,2,5,8,3,1,7,6] => [3,8,4,1,5,7,2,6] => [4,1,5,7,3,2,8,6] => 0110011
[5,3,1,8,6,4,2,7] => [3,5,4,6,2,8,1,7] => [8,6,4,2,5,3,1,7] => 0111101
[3,1,8,4,7,5,2,6] => [3,5,1,7,8,4,2,6] => [8,4,7,5,1,3,2,6] => 0101011
[3,8,7,2,1,6,4,5] => [2,7,3,6,4,1,8,5] => [3,6,4,8,7,2,1,5] => 1000111
[6,8,1,7,5,2,4,3] => [8,5,4,2,7,6,1,3] => [4,2,6,7,5,1,8,3] => 0011011
[5,8,6,4,3,2,1,7] => [2,3,4,6,5,8,1,7] => [5,8,6,4,3,2,1,7] => 1110101
[8,7,3,6,4,2,1,5] => [2,4,6,7,3,1,8,5] => [8,7,3,6,4,2,1,5] => 1010111
[1,3,7,5,4,2,8,6] => [1,4,3,5,7,8,2,6] => [1,3,8,5,4,2,7,6] => 0011011
[2,7,6,5,3,1,8,4] => [3,2,5,6,7,8,1,4] => [2,8,3,1,7,6,5,4] => 0101111
[5,2,6,1,4,7,8,3] => [6,5,8,1,2,4,7,3] => [7,8,1,5,2,4,6,3] => 0001101
[5,7,4,2,1,3,6,8] => [2,4,1,7,5,3,6,8] => [5,7,4,2,1,3,6,8] => 1010010
[6,3,1,5,4,7,8,2] => [3,6,8,5,2,4,7,1] => [5,2,7,8,4,6,3,1] => 0101101
[1,7,4,2,6,3,8,5] => [1,4,7,6,8,3,2,5] => [1,8,3,6,4,2,7,5] => 0010111
[2,7,1,6,8,3,5,4] => [7,2,8,5,3,1,6,4] => [2,5,3,8,1,6,7,4] => 0001011
[9,1,2,3,4,5,6,8,7] => [9,1,2,3,4,5,8,6,7] => [8,1,2,3,4,5,6,9,7] => 00000011
[10,1,2,3,4,5,6,7,9,8] => [10,1,2,3,4,5,6,9,7,8] => [9,1,2,3,4,5,6,7,10,8] => 000000011
[2,3,4,5,6,7,8,10,9,1] => [9,2,3,4,5,6,7,8,10,1] => [2,3,4,5,6,7,8,10,9,1] => 000000011
[9,2,1,8,7,6,5,4,3] => [2,9,4,5,6,7,8,1,3] => [8,7,6,5,4,2,1,9,3] => 10111111
[2,11,10,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,10,11,1] => [2,11,10,9,8,7,6,5,4,3,1] => 0111111111
[3,2,10,9,8,7,6,5,4,1] => [4,3,2,5,6,7,8,9,10,1] => [3,2,10,9,8,7,6,5,4,1] => 011111111
[5,2,8,7,6,4,3,1] => [3,4,6,5,2,7,8,1] => [5,2,8,7,6,4,3,1] => 0111111
[8,2,7,6,1,5,4,3] => [6,7,4,5,2,8,1,3] => [5,4,2,8,1,7,6,3] => 0011111
[8,4,1,7,6,5,3,2] => [4,3,8,5,6,7,2,1] => [7,6,5,3,2,8,4,1] => 0111111
[10,2,1,9,8,7,6,5,4,3] => [2,10,4,5,6,7,8,9,1,3] => [9,8,7,6,5,4,2,1,10,3] => 101111111
[11,1,10,9,8,7,6,5,4,3,2] => [11,3,4,5,6,7,8,9,10,1,2] => [10,9,8,7,6,5,4,3,1,11,2] => 0111111111
[4,5,6,2,3,8,1,7] => [8,6,2,4,5,3,1,7] => [4,5,6,2,3,8,1,7] => 0000101
[4,5,3,2,7,8,1,6] => [8,3,5,4,2,1,7,6] => [4,5,3,2,7,8,1,6] => 0101001
[6,5,7,3,8,4,2,1] => [2,4,8,7,6,5,1,3] => [6,5,7,2,1,8,4,3] => 1010111
[6,8,7,2,4,3,5,1] => [5,7,4,2,3,6,8,1] => [4,2,6,8,7,3,5,1] => 0011011
[3,2,7,4,5,8,1,6] => [8,3,2,7,4,1,5,6] => [3,2,7,4,8,1,5,6] => 0100011
[6,8,1,5,2,4,3,7] => [8,5,4,2,1,6,3,7] => [4,2,5,1,6,8,3,7] => 0011001
[2,3,4,7,5,8,1,6] => [8,2,3,4,7,1,5,6] => [2,3,4,7,1,8,5,6] => 0000011
[5,3,7,4,8,6,1,2] => [6,1,5,8,3,7,2,4] => [7,3,5,1,2,8,6,4] => 0001111
[1,3,7,4,8,6,2,5] => [1,6,3,8,4,7,2,5] => [1,3,7,4,8,6,2,5] => 0000111
[3,7,8,5,4,1,2,6] => [4,1,3,5,8,2,7,6] => [3,7,8,5,4,1,2,6] => 0011001
[5,7,6,2,8,4,1,3] => [4,8,2,6,5,7,1,3] => [5,7,6,2,8,4,1,3] => 0010111
[6,1,7,5,8,3,4,2] => [6,4,8,3,7,1,5,2] => [7,3,4,1,8,5,6,2] => 0010111
[1,5,6,8,4,7,3,2] => [1,3,7,8,5,6,4,2] => [1,5,6,8,4,7,3,2] => 0100011
[4,1,3,7,6,5,8,2] => [4,8,1,3,6,7,5,2] => [7,6,5,8,1,3,4,2] => 0010111
[8,2,4,1,3,7,6,5] => [4,8,1,2,6,7,3,5] => [7,6,1,4,2,3,8,5] => 0010111
[7,8,3,6,2,1,4,5] => [2,6,8,1,4,3,7,5] => [7,8,2,1,4,6,3,5] => 1000101
[5,4,7,2,3,6,8,1] => [8,7,2,5,4,3,6,1] => [5,4,7,2,3,6,8,1] => 0001011
[8,2,5,6,7,1,3,4] => [7,8,1,3,2,5,6,4] => [8,1,3,5,6,7,2,4] => 0000011
[6,5,7,3,8,2,1,4] => [2,8,7,1,6,5,3,4] => [6,5,7,2,1,8,3,4] => 1000111
[8,1,4,7,2,5,6,3] => [8,7,6,1,2,5,4,3] => [6,1,5,7,2,4,8,3] => 0000111
[7,3,4,6,1,5,8,2] => [6,8,7,3,1,4,5,2] => [7,3,8,1,4,5,6,2] => 0000111
[2,3,6,5,8,1,4,7] => [8,2,3,1,6,5,4,7] => [2,3,6,5,8,1,4,7] => 0000101
[1,2,3,7,4,6,8,5] => [1,2,3,7,8,4,6,5] => [1,2,3,8,4,6,7,5] => 0000011
[2,1,5,3,8,7,4,6] => [2,1,5,7,3,4,8,6] => [2,1,8,7,3,5,4,6] => 1001011
[5,8,3,2,4,1,6,7] => [4,3,8,2,5,1,6,7] => [5,8,3,2,4,1,6,7] => 0110001
[4,1,8,2,7,3,5,6] => [4,8,7,1,3,5,2,6] => [7,1,5,8,3,4,2,6] => 0010011
[1,2,7,5,3,8,4,6] => [1,2,5,7,8,3,4,6] => [1,2,8,3,7,5,4,6] => 0001011
[3,2,7,1,4,8,5,6] => [7,3,2,1,8,5,4,6] => [3,2,8,5,7,1,4,6] => 0100011
[1,2,3,7,6,8,4,5] => [1,2,3,8,4,7,6,5] => [1,2,3,7,6,8,4,5] => 0000011
[1,2,3,6,8,7,4,5] => [1,2,3,7,4,6,8,5] => [1,2,3,6,8,7,4,5] => 0000011
[1,2,3,7,8,4,6,5] => [1,2,3,8,6,4,7,5] => [1,2,3,6,4,7,8,5] => 0000101
[1,2,3,6,8,4,7,5] => [1,2,3,8,7,6,4,5] => [1,2,3,6,7,4,8,5] => 0000011
[1,2,3,7,8,6,4,5] => [1,2,3,6,4,8,7,5] => [1,2,3,7,8,6,4,5] => 0000101
[6,2,8,3,7,5,1,4] => [5,7,6,2,8,3,1,4] => [8,2,6,3,7,5,1,4] => 0001111
[4,2,8,3,7,5,6,1] => [6,4,8,2,7,5,3,1] => [7,5,8,2,4,3,6,1] => 0010111
[1,8,4,3,7,5,6,2] => [1,6,4,8,7,5,3,2] => [1,7,5,8,4,3,6,2] => 0010111
[2,5,8,3,7,4,6,1] => [6,2,8,7,5,4,3,1] => [2,5,7,4,8,3,6,1] => 0000111
[7,4,3,8,6,2,5,1] => [5,6,4,8,3,7,2,1] => [7,4,3,8,6,2,5,1] => 0011111
[4,5,3,8,6,7,2,1] => [2,7,5,4,3,8,6,1] => [4,5,3,8,6,7,2,1] => 1001011
[2,6,8,5,4,7,3,1] => [3,2,7,5,8,6,4,1] => [2,6,8,5,4,7,3,1] => 0101011
[4,3,7,8,5,6,2,1] => [2,6,4,3,8,5,7,1] => [4,3,7,8,5,6,2,1] => 1010101
[5,2,8,6,4,7,3,1] => [3,7,5,6,1,8,4,2] => [8,6,1,5,4,7,3,2] => 0101111
[3,2,8,6,7,4,5,1] => [5,3,2,7,4,8,6,1] => [3,2,8,6,7,4,5,1] => 0101011
[5,2,8,4,6,7,3,1] => [3,7,5,8,1,4,6,2] => [8,1,5,4,6,7,3,2] => 0101011
[4,2,8,5,6,7,3,1] => [3,7,4,1,8,5,6,2] => [4,1,8,5,6,7,3,2] => 0110011
[3,4,6,8,7,2,5,1] => [5,7,3,4,2,6,8,1] => [3,4,6,8,7,2,5,1] => 0001011
[7,3,5,8,6,2,4,1] => [4,6,8,3,2,7,5,1] => [7,3,5,8,6,2,4,1] => 0010111
[1,8,3,5,7,4,6,2] => [1,6,8,7,3,4,5,2] => [1,7,3,8,4,5,6,2] => 0000111
[5,7,4,6,8,3,2,1] => [2,3,8,7,5,4,6,1] => [5,7,4,6,8,3,2,1] => 1100011
[2,6,8,4,5,7,3,1] => [3,2,7,8,4,6,5,1] => [2,6,8,4,5,7,3,1] => 0100011
[4,2,7,1,3,8,5,6] => [7,4,1,2,8,5,3,6] => [4,1,8,5,7,2,3,6] => 0010011
[4,2,5,1,3,8,6,7] => [5,4,1,2,3,8,6,7] => [4,1,5,2,3,8,6,7] => 0011001
[3,7,1,2,5,8,6,4] => [7,1,3,6,2,8,5,4] => [3,8,6,1,2,5,7,4] => 0000111
[6,4,2,3,7,1,5,8] => [7,4,2,6,1,3,5,8] => [6,4,2,7,1,3,5,8] => 0010110
[7,4,2,3,8,1,6,5] => [8,4,2,7,6,1,3,5] => [6,4,2,7,1,3,8,5] => 0010111
[4,7,5,2,8,1,3,6] => [8,5,1,4,7,3,2,6] => [4,7,5,1,3,8,2,6] => 0001011
[8,2,6,3,7,1,4,5] => [7,8,6,1,4,2,3,5] => [6,1,4,8,2,7,3,5] => 0000111
[8,6,1,2,7,4,5,3] => [6,1,5,8,2,7,4,3] => [7,1,2,5,4,8,6,3] => 0001111
[8,5,7,1,2,4,6,3] => [7,1,6,2,8,4,5,3] => [8,1,2,4,6,5,7,3] => 0000111
[3,8,5,6,1,2,4,7] => [6,1,3,2,8,5,4,7] => [3,8,5,6,1,2,4,7] => 0000101
[3,6,8,1,2,5,7,4] => [8,1,3,7,2,6,5,4] => [3,6,7,1,2,5,8,4] => 0000011
[3,7,2,4,8,1,6,5] => [8,7,3,2,6,1,4,5] => [3,6,2,7,1,4,8,5] => 0000111
[4,6,3,8,1,2,5,7] => [8,1,6,4,2,3,5,7] => [4,6,1,2,8,3,5,7] => 0000101
[4,6,3,7,1,2,5,8] => [7,1,6,4,2,3,5,8] => [4,6,1,2,7,3,5,8] => 0000110
[4,1,7,8,2,3,6,5] => [4,8,2,1,6,3,7,5] => [6,2,4,1,3,7,8,5] => 0010101
[5,3,8,1,6,2,4,7] => [8,6,5,2,3,1,4,7] => [5,2,6,3,8,1,4,7] => 0001101
[6,8,1,3,7,4,5,2] => [8,5,1,7,4,6,3,2] => [6,7,4,5,1,3,8,2] => 0001011
[7,2,8,1,6,3,4,5] => [8,7,6,3,4,1,2,5] => [6,3,4,7,1,8,2,5] => 0000111
[4,8,7,1,3,5,6,2] => [7,6,1,4,3,5,8,2] => [4,6,1,3,5,8,7,2] => 0000111
[3,8,7,1,2,4,6,5] => [7,1,3,2,6,4,8,5] => [3,6,1,2,4,8,7,5] => 0000111
[5,8,6,4,1,2,3,7] => [4,1,2,6,5,8,3,7] => [5,8,6,4,1,2,3,7] => 0010101
[7,8,4,1,2,5,3,6] => [4,1,8,5,3,2,7,6] => [5,3,7,8,4,1,2,6] => 0011001
[1,4,8,2,7,5,3,6] => [1,8,5,4,7,3,2,6] => [1,4,7,5,3,8,2,6] => 0001011
[1,2,8,7,5,4,3,6] => [1,2,4,5,7,3,8,6] => [1,2,8,7,5,4,3,6] => 0011011
[5,1,7,3,6,4,8,2] => [5,8,7,6,1,3,4,2] => [6,1,7,3,8,4,5,2] => 0001111
[6,2,1,5,7,4,3,8] => [2,6,4,7,1,5,3,8] => [7,4,2,1,5,6,3,8] => 1010110
[6,2,3,7,4,1,5,8] => [4,7,1,6,2,3,5,8] => [6,1,7,4,2,3,5,8] => 0010110
[3,4,8,7,5,6,1,2] => [6,1,3,4,7,5,8,2] => [3,4,8,7,5,6,1,2] => 0000111
[2,3,8,7,4,1,5,6] => [4,2,3,7,1,5,8,6] => [2,3,8,7,4,1,5,6] => 0010011
[5,2,7,1,4,6,8,3] => [7,5,8,1,2,4,6,3] => [8,1,5,2,4,6,7,3] => 0001011
[4,6,7,5,2,1,8,3] => [2,5,7,4,8,6,3,1] => [4,6,8,3,7,5,2,1] => 1001011
[5,3,1,4,6,2,7,8] => [3,5,6,2,4,1,7,8] => [6,2,4,5,3,1,7,8] => 0101100
[4,8,1,2,6,7,3,5] => [8,1,7,4,3,2,6,5] => [4,7,3,6,8,1,2,5] => 0000011
[1,2,8,7,6,5,3,4] => [1,2,5,3,6,7,8,4] => [1,2,8,7,6,5,3,4] => 0001111
[3,1,2,4,6,8,7,5] => [3,1,2,4,7,6,8,5] => [3,1,2,4,6,8,7,5] => 0100011
[4,3,8,5,7,6,1,2] => [6,1,4,3,7,8,2,5] => [4,3,8,1,2,7,6,5] => 0010111
[4,8,2,1,6,3,7,5] => [2,8,6,4,7,1,3,5] => [4,7,2,1,6,3,8,5] => 1000111
[3,8,6,5,2,7,1,4] => [7,5,3,1,6,8,2,4] => [3,8,6,5,1,7,2,4] => 0001111
[3,5,7,8,1,2,6,4] => [8,1,3,6,5,2,7,4] => [3,5,6,1,2,7,8,4] => 0000101
[3,7,2,8,4,1,6,5] => [4,8,3,7,6,2,1,5] => [3,6,2,7,4,1,8,5] => 0010111
[2,8,7,5,1,6,4,3] => [5,2,4,7,6,3,8,1] => [2,6,4,3,8,7,5,1] => 0011111
[2,8,6,7,5,1,4,3] => [5,2,4,1,7,8,6,3] => [2,4,1,8,6,7,5,3] => 0011011
[8,6,1,4,2,3,7,5] => [6,4,2,1,8,7,5,3] => [4,2,7,5,8,6,1,3] => 0010111
[3,6,1,4,2,8,7,5] => [6,4,3,1,7,2,8,5] => [3,4,1,8,7,2,6,5] => 0010111
[1,8,7,4,3,6,2,5] => [1,6,4,7,2,3,8,5] => [1,8,7,4,2,6,3,5] => 0010111
[4,8,6,2,1,3,7,5] => [2,6,1,4,8,7,5,3] => [4,7,5,8,6,2,1,3] => 1000111
[4,7,1,3,8,2,6,5] => [7,8,1,4,6,2,3,5] => [4,6,1,8,2,3,7,5] => 0000111
[1,4,7,3,6,2,8,5] => [1,6,7,4,8,3,2,5] => [1,4,8,3,7,2,6,5] => 0000111
[1,8,3,4,2,6,7,5] => [1,4,8,3,7,2,6,5] => [1,7,3,4,2,6,8,5] => 0010011
[6,4,1,3,7,2,8,5] => [4,6,2,7,8,3,1,5] => [8,2,3,7,4,1,6,5] => 0010111
[8,1,4,3,6,2,7,5] => [8,6,4,1,7,3,2,5] => [4,1,7,3,6,2,8,5] => 0010111
[7,2,5,8,4,3,1,6] => [3,4,8,7,2,1,5,6] => [7,2,8,4,3,1,5,6] => 0110011
[4,2,3,5,8,7,1,6] => [7,4,2,3,5,1,8,6] => [4,2,3,5,8,7,1,6] => 0010011
[1,8,6,4,2,3,7,5] => [1,4,2,6,8,7,5,3] => [1,7,5,8,6,4,2,3] => 0010111
[2,4,3,5,7,8,1,6] => [8,2,4,3,5,1,7,6] => [2,4,3,5,7,8,1,6] => 0010001
[3,8,6,5,4,2,1,7] => [2,4,3,5,6,8,1,7] => [3,8,6,5,4,2,1,7] => 1011101
[5,3,1,8,4,7,2,6] => [3,5,7,8,2,1,4,6] => [8,2,7,3,1,5,4,6] => 0101011
[7,1,5,4,8,6,3,2] => [7,3,6,5,1,8,4,2] => [5,3,1,8,6,4,7,2] => 0101111
[2,7,5,4,8,6,3,1] => [3,2,6,5,8,7,1,4] => [2,7,5,3,1,8,6,4] => 0101111
[2,1,8,7,5,3,6,4] => [2,1,5,7,6,4,8,3] => [2,1,6,4,8,7,5,3] => 1001111
[5,6,3,1,8,4,7,2] => [3,6,7,8,5,2,4,1] => [5,8,2,7,4,6,3,1] => 0100111
[2,6,7,4,5,8,3,1] => [3,2,8,7,4,6,5,1] => [2,6,7,4,5,8,3,1] => 0100011
[6,1,7,4,5,8,3,2] => [6,3,8,7,4,1,5,2] => [7,4,8,3,1,5,6,2] => 0100111
[5,3,7,4,8,6,2,1] => [2,6,5,8,3,7,1,4] => [7,3,5,2,1,8,6,4] => 1001111
[8,5,1,7,2,6,4,3] => [5,8,4,7,6,3,2,1] => [6,4,3,7,2,8,5,1] => 0011111
[7,5,1,8,2,6,3,4] => [5,7,8,1,6,3,2,4] => [6,1,8,3,7,5,2,4] => 0001111
[5,4,2,6,1,3,8,7] => [6,4,1,5,2,3,8,7] => [5,4,1,6,2,3,8,7] => 0011101
[2,5,8,1,7,4,3,6] => [8,2,4,7,5,3,1,6] => [2,5,7,4,3,8,1,6] => 0010011
[6,8,2,7,4,3,1,5] => [3,4,7,8,1,6,2,5] => [6,8,1,7,4,3,2,5] => 0110011
[6,8,2,3,7,5,1,4] => [5,7,1,2,8,6,3,4] => [6,8,1,7,5,2,3,4] => 0001011
[4,2,7,3,1,8,5,6] => [3,7,4,1,8,5,2,6] => [4,1,8,5,7,3,2,6] => 0110011
[2,1,5,8,4,3,7,6] => [2,1,4,8,5,7,3,6] => [2,1,5,7,4,3,8,6] => 1010011
[5,8,4,2,6,7,1,3] => [7,4,1,8,5,2,6,3] => [5,8,4,1,6,7,2,3] => 0010011
[2,4,8,3,1,7,5,6] => [3,2,8,4,7,5,1,6] => [2,4,7,5,8,3,1,6] => 0100011
[4,1,3,7,2,6,8,5] => [4,7,1,3,8,2,6,5] => [8,1,3,4,2,6,7,5] => 0010011
[3,4,8,2,1,6,5,7] => [2,8,3,4,6,1,5,7] => [3,4,6,2,1,8,5,7] => 1000101
[3,5,8,1,7,2,6,4] => [8,7,3,6,5,2,1,4] => [3,5,6,2,7,1,8,4] => 0000111
[7,6,4,8,1,5,3,2] => [8,3,5,6,1,7,4,2] => [7,6,3,1,5,4,8,2] => 0101111
[5,3,7,1,8,2,6,4] => [7,8,5,6,3,2,1,4] => [6,3,5,2,8,1,7,4] => 0001111
[2,7,6,3,8,1,4,5] => [8,2,6,1,4,7,3,5] => [2,7,6,1,4,8,3,5] => 0000111
[2,1,7,6,4,8,3,5] => [2,1,8,6,3,7,4,5] => [2,1,7,6,3,8,4,5] => 1000111
[2,1,5,4,8,7,3,6] => [2,1,7,5,4,3,8,6] => [2,1,5,4,8,7,3,6] => 1001011
[3,4,1,8,6,2,7,5] => [4,6,3,1,8,7,5,2] => [3,7,5,8,6,1,4,2] => 0010111
[3,8,5,4,2,1,7,6] => [2,4,3,5,8,7,1,6] => [3,7,5,4,2,1,8,6] => 1011011
[3,2,8,7,5,4,1,6] => [4,3,2,5,7,1,8,6] => [3,2,8,7,5,4,1,6] => 0111011
[2,8,6,5,4,3,1,7] => [3,2,4,5,6,8,1,7] => [2,8,6,5,4,3,1,7] => 0111101
[5,4,2,6,3,1,8,7] => [3,6,4,5,1,2,8,7] => [5,4,1,6,3,2,8,7] => 0111101
[6,5,2,1,3,4,8,7] => [2,5,1,3,6,4,8,7] => [6,5,2,1,3,4,8,7] => 1001101
[8,5,2,7,3,1,4,6] => [3,7,5,2,8,4,1,6] => [8,5,2,4,7,3,1,6] => 0101011
[7,3,6,5,2,8,4,1] => [4,8,5,6,7,3,1,2] => [7,3,6,5,1,8,4,2] => 0011111
[8,7,5,3,1,4,2,6] => [3,5,4,2,7,1,8,6] => [4,2,8,7,5,3,1,6] => 0111011
[7,1,5,3,8,4,6,2] => [7,6,5,8,1,4,3,2] => [8,1,5,4,6,3,7,2] => 0001111
[6,7,2,3,5,8,4,1] => [4,8,1,7,3,6,5,2] => [6,7,1,3,5,8,4,2] => 0010011
[3,7,6,4,2,8,5,1] => [5,4,3,8,6,7,1,2] => [3,7,6,4,1,8,5,2] => 0011111
[2,1,8,7,4,3,5,6] => [2,1,4,7,3,5,8,6] => [2,1,8,7,4,3,5,6] => 1010011
[5,8,3,7,2,1,4,6] => [2,7,8,1,5,4,3,6] => [5,8,2,1,4,7,3,6] => 1000011
[8,1,6,3,2,4,5,7] => [8,3,6,2,4,1,5,7] => [6,3,2,4,8,1,5,7] => 0100101
[5,7,1,4,8,3,6,2] => [7,6,8,1,5,3,4,2] => [5,8,1,6,3,4,7,2] => 0000111
[6,1,7,5,4,8,3,2] => [6,3,8,5,7,1,4,2] => [7,5,3,1,8,4,6,2] => 0101111
[7,6,1,5,8,3,4,2] => [6,4,7,1,3,8,5,2] => [8,1,4,3,5,7,6,2] => 0010111
[7,4,2,8,1,3,6,5] => [8,4,1,7,6,3,2,5] => [6,4,1,3,7,2,8,5] => 0010111
[2,7,8,4,5,1,3,6] => [5,2,1,8,4,3,7,6] => [2,7,8,4,5,1,3,6] => 0001001
[5,7,3,8,4,1,2,6] => [4,1,8,7,5,3,2,6] => [5,7,3,8,4,1,2,6] => 0010011
[2,4,8,1,5,6,3,7] => [8,2,6,4,1,5,3,7] => [2,4,6,1,5,8,3,7] => 0000101
[4,8,1,2,5,3,6,7] => [8,1,5,4,2,3,6,7] => [4,5,1,2,8,3,6,7] => 0001001
[8,1,2,4,3,5,6,7] => [8,1,4,2,3,5,6,7] => [4,1,2,8,3,5,6,7] => 0010001
[10,1,2,3,5,4,6,7,8,9] => [10,1,2,5,3,4,6,7,8,9] => [5,1,2,3,10,4,6,7,8,9] => 000100001
[4,8,7,6,3,5,2,1] => [2,5,6,4,3,7,8,1] => [4,8,7,6,3,5,2,1] => 1001111
[3,8,7,6,5,2,4,1] => [4,5,3,2,6,7,8,1] => [3,8,7,6,5,2,4,1] => 0011111
[7,9,6,8,5,4,3,2,1] => [2,3,4,5,8,9,7,6,1] => [7,9,6,8,5,4,3,2,1] => 11110011
[5,8,4,7,6,3,2,1] => [2,3,6,7,5,8,1,4] => [5,8,3,2,1,7,6,4] => 1100111
[7,5,8,4,6,3,1,2] => [3,1,6,8,7,4,5,2] => [7,4,8,5,6,3,1,2] => 0100111
[7,6,8,2,5,1,4,3] => [5,8,4,1,2,7,6,3] => [4,1,7,6,8,2,5,3] => 0011011
[3,5,2,4,7,6,1,8] => [6,5,3,2,4,7,1,8] => [3,5,2,4,7,6,1,8] => 0001110
[3,5,4,7,6,1,8,2] => [6,7,3,5,4,8,2,1] => [3,5,4,8,2,7,6,1] => 0001111
[3,5,7,4,6,1,8,2] => [6,8,3,7,5,4,1,2] => [3,5,7,4,8,1,6,2] => 0000111
[3,5,7,4,6,2,1,8] => [2,6,3,7,5,4,1,8] => [3,5,7,4,6,2,1,8] => 1000110
[3,2,5,7,4,6,1,8] => [6,3,2,7,5,4,1,8] => [3,2,5,7,4,6,1,8] => 0100110
[3,5,2,7,6,4,1,8] => [4,6,3,5,1,7,2,8] => [3,5,1,7,6,4,2,8] => 0011110
[5,3,7,6,4,1,8,2] => [4,6,7,5,1,8,3,2] => [5,1,8,3,7,6,4,2] => 0011111
[3,7,5,1,4,8,6,2] => [5,7,3,2,6,8,4,1] => [3,8,6,2,4,7,5,1] => 0001111
[3,5,7,1,2,6,8,4] => [7,1,3,8,5,2,6,4] => [3,5,8,1,2,6,7,4] => 0000011
[3,5,7,1,4,6,8,2] => [7,8,3,1,5,4,6,2] => [3,5,8,1,4,6,7,2] => 0000011
[3,5,7,2,1,4,6,8] => [2,7,3,1,5,4,6,8] => [3,5,7,2,1,4,6,8] => 1000010
[3,5,2,7,1,4,6,8] => [7,5,3,1,2,4,6,8] => [3,5,1,7,2,4,6,8] => 0001010
[3,2,5,7,4,1,6,8] => [4,3,2,7,5,1,6,8] => [3,2,5,7,4,1,6,8] => 0110010
[3,5,7,4,1,2,6,8] => [4,1,3,7,5,2,6,8] => [3,5,7,4,1,2,6,8] => 0010010
[3,5,4,7,1,6,8,2] => [7,8,3,5,4,1,6,2] => [3,5,4,8,1,6,7,2] => 0001011
[3,5,4,2,7,1,6,8] => [7,4,3,5,2,1,6,8] => [3,5,4,2,7,1,6,8] => 0011010
[3,2,5,4,7,1,6,8] => [7,3,2,5,4,1,6,8] => [3,2,5,4,7,1,6,8] => 0101010
[3,5,4,7,2,1,8,6] => [2,7,3,5,4,8,1,6] => [3,5,4,8,2,1,7,6] => 1001011
[3,5,4,7,1,2,8,6] => [7,1,3,5,4,8,2,6] => [3,5,4,8,1,2,7,6] => 0001011
[5,7,6,3,1,8,4,2] => [3,6,4,7,5,8,1,2] => [5,8,4,1,7,6,3,2] => 0110111
[5,7,6,3,1,8,2,4] => [3,6,7,2,5,8,1,4] => [5,8,2,7,6,3,1,4] => 0100111
[3,5,7,4,1,2,8,6] => [4,1,3,7,5,8,2,6] => [3,5,8,4,1,2,7,6] => 0010011
[3,2,5,7,4,1,8,6] => [4,3,2,7,5,8,1,6] => [3,2,5,8,4,1,7,6] => 0110011
[3,5,2,7,1,4,8,6] => [7,5,3,1,2,8,4,6] => [3,5,1,8,2,4,7,6] => 0001011
[3,5,7,2,1,4,8,6] => [2,7,3,1,5,8,4,6] => [3,5,8,2,1,4,7,6] => 1000011
[3,7,2,5,1,8,6,4] => [5,7,3,6,2,8,1,4] => [3,8,6,2,7,1,5,4] => 0001111
[3,2,7,5,1,8,4,6] => [5,3,2,7,8,1,4,6] => [3,2,8,1,7,5,4,6] => 0101011
[3,7,2,5,1,8,4,6] => [5,7,3,8,2,4,1,6] => [3,8,2,7,4,5,1,6] => 0001011
[6,1,2,5,7,4,8,3] => [6,1,8,7,2,5,4,3] => [7,1,2,5,8,4,6,3] => 0000111
[2,1,7,5,8,4,6,3] => [2,1,6,8,7,4,5,3] => [2,1,7,4,8,5,6,3] => 1000111
[2,7,3,6,8,4,1,5] => [4,2,8,7,3,1,6,5] => [2,7,3,6,8,4,1,5] => 0010011
[2,1,8,3,4,7,5,6] => [2,1,8,3,7,5,4,6] => [2,1,7,5,8,3,4,6] => 1000011
[5,1,7,2,4,8,3,6] => [5,7,8,2,1,3,4,6] => [8,2,7,1,5,3,4,6] => 0001011
[3,5,8,7,2,1,6,4] => [2,7,3,6,5,1,8,4] => [3,5,6,2,1,8,7,4] => 1000111
[2,3,4,5,6,7,1,9,8] => [7,2,3,4,5,6,1,9,8] => [2,3,4,5,6,7,1,9,8] => 00000101
[2,1,4,5,6,7,8,9,3] => [2,1,9,4,5,6,7,8,3] => [2,1,4,5,6,7,8,9,3] => 10000001
[5,8,3,4,1,7,6,2] => [4,6,7,2,5,8,1,3] => [5,8,2,7,6,1,4,3] => 0010111
[3,8,6,4,1,7,5,2] => [4,6,3,5,8,7,1,2] => [3,7,5,1,8,6,4,2] => 0011111
[4,3,5,6,8,1,7,2] => [8,7,4,3,5,6,1,2] => [4,3,5,6,7,1,8,2] => 0010011
[3,7,6,4,1,8,5,2] => [4,6,3,5,7,8,1,2] => [3,8,5,1,7,6,4,2] => 0011111
[3,7,4,1,8,6,5,2] => [4,7,3,5,6,8,2,1] => [3,8,6,5,2,7,4,1] => 0011111
[3,2,7,6,1,5,4,8] => [6,3,2,5,1,7,4,8] => [3,2,5,1,7,6,4,8] => 0101110
[3,2,8,7,6,1,5,4] => [6,3,2,5,1,7,8,4] => [3,2,5,1,8,7,6,4] => 0101111
[8,4,2,6,5,1,3,7] => [5,4,2,6,8,1,3,7] => [8,4,2,6,5,1,3,7] => 0011101
[3,2,6,8,1,5,4,7] => [8,3,2,5,1,6,4,7] => [3,2,5,1,6,8,4,7] => 0101001
[8,3,2,5,6,1,4,7] => [6,3,8,1,2,5,4,7] => [8,3,1,5,6,2,4,7] => 0100101
[3,2,8,6,7,1,5,4] => [7,3,2,5,1,8,6,4] => [3,2,5,1,8,6,7,4] => 0101011
[3,2,6,8,7,1,5,4] => [7,3,2,5,1,6,8,4] => [3,2,5,1,6,8,7,4] => 0101011
[3,2,6,7,1,5,4,8] => [7,3,2,5,1,6,4,8] => [3,2,5,1,6,7,4,8] => 0101010
[8,7,3,2,5,6,1,4] => [6,3,7,1,2,5,8,4] => [8,7,3,1,5,6,2,4] => 0100111
[2,6,5,7,1,8,3,4] => [7,2,8,3,6,5,1,4] => [2,6,5,8,3,7,1,4] => 0000111
[5,4,7,6,8,2,3,1] => [3,8,2,5,4,7,6,1] => [5,4,7,6,8,2,3,1] => 0101011
[5,7,4,8,6,1,3,2] => [6,3,1,8,5,7,2,4] => [3,1,5,7,2,8,6,4] => 0100111
[5,4,2,6,7,8,1,3] => [8,4,1,5,2,6,7,3] => [5,4,1,6,7,8,2,3] => 0011001
[6,4,2,7,3,5,8,1] => [8,4,6,7,2,3,5,1] => [7,2,6,4,3,5,8,1] => 0010111
[6,5,4,8,7,3,1,2] => [3,1,7,5,6,4,8,2] => [6,5,4,8,7,3,1,2] => 0101111
[8,7,4,2,1,3,6,5] => [2,4,1,7,6,3,8,5] => [6,4,2,1,3,8,7,5] => 1010111
[8,3,7,2,1,5,6,4] => [2,7,8,6,1,5,3,4] => [6,2,1,5,8,3,7,4] => 1000111
[8,4,7,3,2,6,1,5] => [6,3,7,8,1,2,4,5] => [8,3,1,7,2,6,4,5] => 0100111
[8,2,7,3,4,1,5,6] => [4,8,7,3,1,5,2,6] => [7,3,5,8,1,4,2,6] => 0010011
[2,8,5,6,7,1,4,3] => [7,2,4,1,8,5,6,3] => [2,4,1,8,5,6,7,3] => 0010011
[2,6,8,5,1,4,7,3] => [5,2,8,3,7,6,4,1] => [2,6,7,3,4,8,5,1] => 0001011
[3,5,1,6,8,7,2,4] => [5,7,3,2,1,6,8,4] => [3,6,8,7,2,5,1,4] => 0001011
[5,7,6,2,1,3,8,4] => [2,6,1,7,5,8,4,3] => [5,8,4,7,6,2,1,3] => 1000111
[7,6,2,4,5,1,8,3] => [5,6,7,3,4,8,1,2] => [8,3,4,7,6,1,5,2] => 0001111
[7,3,4,2,5,8,6,1] => [6,4,8,1,2,7,5,3] => [7,1,4,2,5,8,6,3] => 0010111
[8,1,4,5,2,6,7,3] => [8,5,7,1,4,2,6,3] => [7,1,4,5,2,6,8,3] => 0001011
[4,2,1,5,6,7,8,3] => [2,4,8,1,5,6,7,3] => [5,6,7,8,2,1,4,3] => 1010001
[7,3,5,2,4,6,1,8] => [6,5,7,2,3,4,1,8] => [7,2,5,3,4,6,1,8] => 0001110
[3,7,5,2,4,6,1,8] => [6,5,3,2,7,4,1,8] => [3,7,5,2,4,6,1,8] => 0001110
[5,7,3,2,4,6,1,8] => [6,3,7,2,5,4,1,8] => [5,7,3,2,4,6,1,8] => 0100110
[1,5,3,2,4,7,6,8] => [1,3,5,2,4,7,6,8] => [1,5,3,2,4,7,6,8] => 0101010
[1,5,3,2,7,4,6,8] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => 0101010
[5,7,3,2,4,1,6,8] => [4,3,7,2,5,1,6,8] => [5,7,3,2,4,1,6,8] => 0110010
[3,7,2,5,4,1,6,8] => [4,5,3,7,1,2,6,8] => [3,7,1,5,4,2,6,8] => 0011010
[5,1,3,2,4,7,6,8] => [5,3,1,2,4,7,6,8] => [3,1,5,2,4,7,6,8] => 0101010
[5,1,3,2,7,4,6,8] => [5,3,1,7,2,4,6,8] => [3,1,7,2,5,4,6,8] => 0101010
[7,1,3,2,5,4,6,8] => [7,3,1,5,2,4,6,8] => [3,1,5,2,7,4,6,8] => 0101010
[1,7,3,2,5,4,6,8] => [1,3,7,5,2,4,6,8] => [1,5,3,2,7,4,6,8] => 0101010
[7,1,3,5,2,4,6,8] => [7,5,1,2,3,4,6,8] => [5,1,7,2,3,4,6,8] => 0001010
[3,2,7,5,1,4,6,8] => [5,3,2,1,7,4,6,8] => [3,2,7,5,1,4,6,8] => 0101010
[3,7,5,1,2,4,6,8] => [5,1,3,2,7,4,6,8] => [3,7,5,1,2,4,6,8] => 0001010
[5,7,3,1,2,4,6,8] => [3,1,7,2,5,4,6,8] => [5,7,3,1,2,4,6,8] => 0100010
[5,3,2,4,7,1,6,8] => [7,3,5,2,4,1,6,8] => [5,3,2,4,7,1,6,8] => 0101010
[5,3,2,1,4,7,6,8] => [2,3,5,1,4,7,6,8] => [5,3,2,1,4,7,6,8] => 1101010
[5,3,2,1,7,4,6,8] => [2,3,5,7,1,4,6,8] => [7,3,2,1,5,4,6,8] => 1101010
[1,3,2,7,5,4,6,8] => [1,3,2,5,7,4,6,8] => [1,3,2,7,5,4,6,8] => 0101010
[1,3,7,2,5,4,6,8] => [1,7,3,5,2,4,6,8] => [1,3,5,2,7,4,6,8] => 0001010
[7,3,1,2,5,4,6,8] => [3,1,7,5,2,4,6,8] => [5,3,1,2,7,4,6,8] => 0101010
[5,3,1,2,7,4,6,8] => [3,1,5,7,2,4,6,8] => [7,3,1,2,5,4,6,8] => 0101010
[5,3,1,2,4,7,6,8] => [3,1,5,2,4,7,6,8] => [5,3,1,2,4,7,6,8] => 0101010
[3,2,5,1,4,7,6,8] => [5,3,2,1,4,7,6,8] => [3,2,5,1,4,7,6,8] => 0101010
[7,3,1,5,2,4,6,8] => [3,7,5,1,2,4,6,8] => [5,1,7,3,2,4,6,8] => 0101010
[1,3,7,5,2,4,6,8] => [1,5,3,2,7,4,6,8] => [1,3,7,5,2,4,6,8] => 0001010
[7,5,1,3,2,4,6,8] => [5,3,1,2,7,4,6,8] => [3,1,7,5,2,4,6,8] => 0101010
[5,7,1,3,2,4,6,8] => [7,3,1,2,5,4,6,8] => [3,1,5,7,2,4,6,8] => 0100010
[3,7,1,5,2,4,6,8] => [7,5,3,2,1,4,6,8] => [3,5,2,7,1,4,6,8] => 0001010
[3,7,1,2,5,4,6,8] => [7,1,3,5,2,4,6,8] => [3,5,1,2,7,4,6,8] => 0001010
[3,1,2,7,5,4,6,8] => [3,1,2,5,7,4,6,8] => [3,1,2,7,5,4,6,8] => 0101010
[3,1,7,2,5,4,6,8] => [3,7,1,5,2,4,6,8] => [5,1,3,2,7,4,6,8] => 0101010
[3,1,7,5,2,4,6,8] => [3,5,1,2,7,4,6,8] => [7,5,1,3,2,4,6,8] => 0101010
[7,1,5,3,2,4,6,8] => [7,3,5,2,1,4,6,8] => [5,3,2,7,1,4,6,8] => 0101010
[1,7,5,3,2,4,6,8] => [1,3,5,2,7,4,6,8] => [1,7,5,3,2,4,6,8] => 0101010
[1,2,3,4,5,7,9,6,8] => [1,2,3,4,5,9,7,6,8] => [1,2,3,4,5,7,9,6,8] => 00000001
[1,2,3,4,6,9,5,7,8] => [1,2,3,4,9,6,5,7,8] => [1,2,3,4,6,9,5,7,8] => 00000001
[1,2,3,5,9,4,6,7,8] => [1,2,3,9,5,4,6,7,8] => [1,2,3,5,9,4,6,7,8] => 00000001
[1,2,4,9,3,5,6,7,8] => [1,2,9,4,3,5,6,7,8] => [1,2,4,9,3,5,6,7,8] => 00000001
[1,3,9,2,4,5,6,7,8] => [1,9,3,2,4,5,6,7,8] => [1,3,9,2,4,5,6,7,8] => 00000001
[2,8,5,1,7,6,4,3] => [5,2,4,8,6,7,3,1] => [2,7,6,4,3,8,5,1] => 0011111
[1,8,7,4,3,2,6,5] => [1,3,4,7,6,2,8,5] => [1,6,4,3,2,8,7,5] => 0110111
[7,5,3,4,2,8,1,6] => [8,4,5,3,7,1,2,6] => [7,5,3,4,1,8,2,6] => 0011011
[8,5,3,6,2,4,7,1] => [7,6,5,2,8,3,4,1] => [8,5,2,6,3,4,7,1] => 0001111
[2,7,5,4,8,1,3,6] => [8,2,1,5,7,3,4,6] => [2,7,5,1,3,8,4,6] => 0001011
[2,7,5,4,8,6,1,3] => [6,2,1,5,8,7,3,4] => [2,7,5,1,3,8,6,4] => 0001111
[2,5,1,4,8,7,3,6] => [5,2,7,1,4,3,8,6] => [2,8,7,1,4,5,3,6] => 0001011
[3,5,6,4,8,1,2,7] => [8,1,3,6,5,4,2,7] => [3,5,6,4,8,1,2,7] => 0000101
[1,6,4,3,8,5,2,7] => [1,5,4,8,6,2,3,7] => [1,6,4,2,8,5,3,7] => 0011101
[7,1,3,2,5,8,4,6] => [7,3,1,8,2,4,5,6] => [3,1,8,2,7,4,5,6] => 0100011
[7,6,5,8,3,1,4,2] => [3,8,4,2,6,7,5,1] => [4,2,7,6,5,8,3,1] => 0110111
[7,1,5,6,3,8,4,2] => [7,4,8,6,1,5,2,3] => [6,1,5,8,4,2,7,3] => 0010111
[7,2,6,5,3,8,1,4] => [8,7,5,1,6,2,3,4] => [6,5,1,7,2,8,3,4] => 0001111
[2,6,4,5,8,1,7,3] => [8,2,7,6,4,5,1,3] => [2,6,4,5,7,1,8,3] => 0000111
[1,5,6,4,8,3,7,2] => [1,7,8,6,5,4,3,2] => [1,5,6,4,8,3,7,2] => 0000111
[2,5,6,4,8,3,1,7] => [3,2,8,6,5,4,1,7] => [2,5,6,4,8,3,1,7] => 0100101
[3,5,6,1,4,7,8,2] => [6,8,3,1,5,4,7,2] => [3,5,7,8,1,4,6,2] => 0000101
[7,6,1,3,4,5,8,2] => [6,7,2,3,4,8,5,1] => [8,2,3,4,5,7,6,1] => 0000111
[4,2,1,5,3,7,8,6] => [2,4,5,1,3,8,7,6] => [5,2,1,4,3,7,8,6] => 1011001
[4,2,5,6,3,1,8,7] => [3,6,4,1,5,2,8,7] => [4,1,5,6,3,2,8,7] => 0110101
[4,1,5,6,3,2,8,7] => [4,3,6,1,5,2,8,7] => [5,6,3,1,4,2,8,7] => 0110101
[2,5,4,7,3,8,6,1] => [6,2,8,5,4,7,1,3] => [2,5,4,7,1,8,6,3] => 0001111
[4,1,5,3,2,7,8,6] => [4,3,5,1,2,8,7,6] => [5,3,1,4,2,7,8,6] => 0111001
[4,5,3,7,1,2,8,6] => [7,1,5,4,3,8,2,6] => [4,5,3,8,1,2,7,6] => 0001011
[5,1,3,2,4,6,7,8] => [5,3,1,2,4,6,7,8] => [3,1,5,2,4,6,7,8] => 0101000
[3,6,1,7,4,5,2,8] => [6,5,3,7,4,1,2,8] => [3,7,4,5,1,6,2,8] => 0001110
[5,3,1,4,2,6,7,8] => [3,5,4,2,1,6,7,8] => [4,2,5,3,1,6,7,8] => 0111000
[4,6,2,1,3,7,5,8] => [2,6,1,4,7,3,5,8] => [4,7,2,1,3,6,5,8] => 1000110
[4,6,2,7,1,3,5,8] => [7,6,1,4,3,2,5,8] => [4,6,1,3,7,2,5,8] => 0000110
[3,5,7,1,8,2,6,4] => [7,8,3,6,5,2,1,4] => [3,5,6,2,8,1,7,4] => 0000111
[5,1,4,2,3,6,7,8] => [5,4,2,1,3,6,7,8] => [4,2,5,1,3,6,7,8] => 0011000
[3,6,1,7,2,5,8,4] => [6,7,3,8,2,1,5,4] => [3,8,2,7,1,5,6,4] => 0000111
[6,4,2,5,3,8,1,7] => [8,4,6,5,3,2,1,7] => [5,3,6,4,2,8,1,7] => 0011101
[4,6,2,3,5,1,8,7] => [5,6,2,4,3,1,8,7] => [4,6,2,3,5,1,8,7] => 0001101
[6,2,4,5,1,8,3,7] => [5,6,8,2,4,1,3,7] => [8,2,4,6,1,5,3,7] => 0001101
[8,2,6,7,1,4,5,3] => [7,8,5,1,4,2,6,3] => [5,1,4,8,2,6,7,3] => 0001011
[4,6,2,3,5,8,1,7] => [8,6,2,4,3,5,1,7] => [4,6,2,3,5,8,1,7] => 0000101
[6,8,4,5,7,2,3,1] => [3,7,2,8,4,6,5,1] => [6,8,4,5,7,2,3,1] => 0100011
[4,2,3,6,1,8,5,7] => [6,4,2,3,8,1,5,7] => [4,2,3,8,1,6,5,7] => 0010101
[4,2,3,1,6,8,5,7] => [3,4,2,1,8,6,5,7] => [4,2,3,1,6,8,5,7] => 0110001
[6,4,5,8,2,3,7,1] => [7,8,2,6,4,5,3,1] => [6,4,5,8,2,3,7,1] => 0000111
[6,4,8,5,2,3,7,1] => [7,5,2,8,6,3,4,1] => [6,2,3,8,5,4,7,1] => 0001111
[2,4,8,1,3,6,7,5] => [8,2,1,4,7,3,6,5] => [2,4,7,1,3,6,8,5] => 0000011
[2,4,1,8,3,6,7,5] => [4,2,8,1,7,3,6,5] => [2,7,1,4,3,6,8,5] => 0010011
[2,1,4,8,6,3,7,5] => [2,1,6,4,8,7,5,3] => [2,1,4,7,5,8,6,3] => 1000111
[6,4,8,2,5,3,7,1] => [7,8,5,6,2,4,3,1] => [6,2,5,4,8,3,7,1] => 0001111
[8,6,2,4,7,5,1,3] => [5,7,2,1,6,8,4,3] => [8,6,2,4,7,5,1,3] => 0001111
[2,6,8,4,1,5,7,3] => [4,2,8,7,3,6,5,1] => [2,6,7,3,5,8,4,1] => 0010011
[2,6,8,1,4,5,7,3] => [8,2,7,1,4,6,5,3] => [2,6,7,1,4,5,8,3] => 0000011
[2,1,6,8,4,5,7,3] => [2,1,7,8,4,6,5,3] => [2,1,6,8,4,5,7,3] => 1000011
[8,4,2,6,7,3,1,5] => [3,7,4,8,2,1,6,5] => [8,4,2,6,7,3,1,5] => 0110011
[7,6,4,5,1,3,8,2] => [5,8,1,6,4,7,3,2] => [7,6,4,8,1,3,5,2] => 0001111
[7,6,2,3,8,4,1,5] => [4,8,1,6,2,7,3,5] => [7,6,1,8,4,2,3,5] => 0010111
[1,6,7,5,8,2,3,4] => [1,8,2,3,7,6,5,4] => [1,6,7,5,8,2,3,4] => 0000011
[6,2,3,8,7,4,1,5] => [4,7,1,6,2,3,8,5] => [6,1,8,7,4,2,3,5] => 0010111
[2,4,7,3,5,8,6,1] => [6,2,8,4,1,7,5,3] => [2,4,7,1,5,8,6,3] => 0000111
[5,2,8,3,1,4,6,7] => [3,8,5,2,1,4,6,7] => [5,2,8,3,1,4,6,7] => 0101001
[6,4,5,3,8,1,7,2] => [8,7,5,6,4,3,1,2] => [6,4,5,3,7,1,8,2] => 0001111
[4,6,5,3,7,1,2,8] => [7,1,5,4,6,3,2,8] => [4,6,5,3,7,1,2,8] => 0001110
[4,5,1,3,6,2,8,7] => [5,6,1,4,3,2,8,7] => [4,6,1,3,5,2,8,7] => 0001101
[4,2,6,5,1,7,3,8] => [5,4,6,2,7,3,1,8] => [7,2,4,3,6,5,1,8] => 0011110
[3,4,7,6,8,1,2,5] => [8,1,3,4,2,7,6,5] => [3,4,7,6,8,1,2,5] => 0000011
[3,5,2,4,6,1,8,7] => [6,5,3,2,4,1,8,7] => [3,5,2,4,6,1,8,7] => 0001101
[1,8,2,3,6,5,7,4] => [1,8,2,7,6,3,5,4] => [1,6,2,3,7,5,8,4] => 0000111
[1,3,6,4,2,5,8,7] => [1,4,3,6,2,5,8,7] => [1,3,6,4,2,5,8,7] => 0010101
[1,5,4,7,3,6,8,2] => [1,8,7,5,4,3,6,2] => [1,5,4,7,3,6,8,2] => 0001011
[7,4,3,8,5,2,6,1] => [6,5,4,8,7,3,2,1] => [7,4,3,8,5,2,6,1] => 0011111
[7,6,3,8,2,4,5,1] => [5,8,6,2,4,7,3,1] => [7,6,2,4,8,3,5,1] => 0001111
[7,2,8,5,1,3,4,6] => [5,8,2,3,7,4,1,6] => [7,2,3,4,8,5,1,6] => 0001011
[1,6,3,7,8,2,4,5] => [1,8,6,2,4,3,7,5] => [1,6,2,4,7,8,3,5] => 0000101
[4,2,6,7,5,8,1,3] => [8,4,1,2,7,6,5,3] => [4,1,6,7,5,8,2,3] => 0010011
[3,2,4,7,8,5,1,6] => [5,3,2,4,8,1,7,6] => [3,2,4,7,8,5,1,6] => 0101001
[3,8,5,6,1,7,2,4] => [6,7,3,2,8,5,1,4] => [3,8,5,7,2,6,1,4] => 0000111
[1,8,4,6,7,2,5,3] => [1,7,5,8,2,4,6,3] => [1,8,2,5,4,6,7,3] => 0001011
[5,2,8,3,7,1,6,4] => [7,5,8,6,2,1,3,4] => [6,2,8,1,5,3,7,4] => 0001111
[7,4,5,8,6,1,3,2] => [6,3,1,8,2,7,5,4] => [3,1,7,2,5,8,6,4] => 0100111
[3,6,5,8,7,1,4,2] => [7,4,3,1,6,5,8,2] => [3,4,1,6,5,8,7,2] => 0010111
[5,6,8,3,1,7,4,2] => [3,8,4,7,5,6,2,1] => [5,6,7,4,2,8,3,1] => 0110011
[5,3,8,1,7,2,6,4] => [8,7,5,6,3,2,1,4] => [6,3,5,2,7,1,8,4] => 0001111
[6,5,8,1,3,7,4,2] => [8,4,1,7,6,5,3,2] => [6,5,7,4,1,3,8,2] => 0010111
[6,5,3,8,2,7,4,1] => [4,7,8,5,6,1,3,2] => [6,5,1,8,3,7,4,2] => 0011111
[7,6,3,1,4,2,5,8] => [3,6,4,2,1,7,5,8] => [4,2,7,6,3,1,5,8] => 0110110
[1,5,4,3,7,8,2,6] => [1,8,4,5,3,2,7,6] => [1,5,4,3,7,8,2,6] => 0011001
[7,8,4,2,5,3,1,6] => [3,5,4,8,1,2,7,6] => [7,8,4,1,5,3,2,6] => 0111001
[6,3,1,7,5,2,4,8] => [3,6,5,1,7,2,4,8] => [7,5,1,6,3,2,4,8] => 0101110
[6,3,1,8,7,5,2,4] => [3,6,5,1,7,2,8,4] => [8,7,5,1,6,3,2,4] => 0101111
[4,2,7,6,3,1,8,5] => [3,6,4,1,7,8,5,2] => [4,1,8,5,7,6,3,2] => 0110111
[7,6,3,1,8,4,2,5] => [3,6,4,7,2,8,1,5] => [8,4,2,7,6,3,1,5] => 0110111
[7,6,4,2,1,8,3,5] => [2,4,6,7,3,8,1,5] => [8,3,7,6,4,2,1,5] => 1010111
[1,8,2,7,6,4,3,5] => [1,8,4,6,3,7,2,5] => [1,7,6,4,3,8,2,5] => 0010111
[8,3,5,7,6,4,2,1] => [2,4,6,7,3,8,5,1] => [8,3,5,7,6,4,2,1] => 1010111
[8,4,2,5,7,6,3,1] => [3,6,4,7,2,8,5,1] => [8,4,2,5,7,6,3,1] => 0110111
[5,2,8,6,3,7,4,1] => [4,7,5,6,3,8,1,2] => [8,6,3,5,1,7,4,2] => 0011111
[8,3,6,4,7,5,2,1] => [2,5,7,8,6,4,1,3] => [6,4,8,2,1,7,5,3] => 1001111
[5,2,7,4,1,8,6,3] => [4,7,5,6,3,8,2,1] => [8,6,3,5,2,7,4,1] => 0011111
[5,2,8,7,4,1,6,3] => [4,7,5,6,3,2,8,1] => [6,3,5,2,8,7,4,1] => 0011111
[7,6,3,1,4,2,8,5] => [3,6,4,2,7,8,5,1] => [4,2,8,5,7,6,3,1] => 0110111
[1,3,7,6,5,8,2,4] => [1,8,3,2,6,7,5,4] => [1,3,7,6,5,8,2,4] => 0000111
[8,6,4,7,5,2,1,3] => [2,5,1,7,6,8,3,4] => [8,6,2,1,3,7,5,4] => 1001111
[8,6,3,1,4,7,5,2] => [3,6,5,1,8,7,4,2] => [7,5,1,4,8,6,3,2] => 0101111
[8,5,7,6,3,1,4,2] => [3,6,4,2,7,8,1,5] => [4,2,8,3,1,7,6,5] => 0110111
[1,8,2,6,4,7,5,3] => [1,8,5,7,6,2,3,4] => [1,6,2,7,5,3,8,4] => 0001111
[7,5,2,1,6,4,8,3] => [2,5,7,8,6,3,1,4] => [6,3,8,2,1,7,5,4] => 1001111
[7,4,1,8,6,3,5,2] => [4,7,5,6,1,8,2,3] => [8,6,1,5,2,7,4,3] => 0011111
[6,3,5,2,8,7,4,1] => [4,7,5,6,1,3,8,2] => [6,1,5,3,8,7,4,2] => 0011111
[3,5,8,4,6,1,7,2] => [6,7,3,8,5,4,1,2] => [3,5,8,4,7,1,6,2] => 0000111
[1,4,5,8,2,7,3,6] => [1,8,7,4,5,3,2,6] => [1,4,5,7,3,8,2,6] => 0000011
[2,4,5,8,1,6,7,3] => [8,2,7,4,5,1,6,3] => [2,4,5,7,1,6,8,3] => 0000011
[4,2,5,7,8,1,6,3] => [8,4,6,2,5,1,7,3] => [5,6,2,4,1,7,8,3] => 0010101
[8,3,4,6,5,1,7,2] => [5,6,7,1,8,4,2,3] => [8,1,4,7,2,6,5,3] => 0001111
[6,1,3,7,4,2,5,8] => [6,4,1,7,2,3,5,8] => [7,4,1,6,2,3,5,8] => 0010110
[3,1,6,8,2,7,4,5] => [3,8,1,7,4,6,2,5] => [6,7,4,8,1,3,2,5] => 0100011
[4,8,2,3,1,6,7,5] => [3,8,2,4,7,1,6,5] => [4,7,2,3,1,6,8,5] => 0100011
[8,2,6,1,5,4,7,3] => [6,8,7,5,1,2,4,3] => [5,1,7,2,8,4,6,3] => 0001111
[8,6,2,7,1,5,4,3] => [7,6,4,5,1,8,2,3] => [5,4,1,8,6,2,7,3] => 0011111
[5,7,4,2,8,1,6,3] => [8,4,7,6,5,1,3,2] => [5,6,1,7,4,3,8,2] => 0010111
[6,3,7,2,8,1,5,4] => [8,7,6,5,1,3,2,4] => [5,1,6,3,7,2,8,4] => 0001111
[7,5,2,8,6,1,4,3] => [6,5,4,2,8,7,1,3] => [4,2,7,5,1,8,6,3] => 0011111
[1,6,8,5,2,4,3,7] => [1,5,4,2,8,6,3,7] => [1,4,2,6,8,5,3,7] => 0011001
[4,5,7,2,8,1,6,3] => [8,7,6,4,5,1,2,3] => [4,5,6,1,7,2,8,3] => 0000111
[4,5,6,8,3,1,7,2] => [3,8,7,4,5,6,2,1] => [4,5,6,7,2,8,3,1] => 0100011
[8,4,6,5,3,1,7,2] => [3,5,6,7,8,2,1,4] => [8,2,7,3,1,6,5,4] => 0101111
[5,6,4,8,3,1,7,2] => [3,8,7,6,5,4,2,1] => [5,6,4,7,2,8,3,1] => 0100111
[4,8,1,6,2,3,7,5] => [8,6,2,4,7,1,3,5] => [4,7,2,6,1,3,8,5] => 0000111
[7,8,1,2,4,3,6,5] => [8,1,4,2,6,3,7,5] => [4,1,2,6,3,7,8,5] => 0010101
[4,1,3,6,5,7,8,2] => [4,8,1,3,6,5,7,2] => [6,5,7,8,1,3,4,2] => 0010101
[5,2,4,1,3,7,8,6] => [4,5,1,2,3,8,7,6] => [5,1,4,2,3,7,8,6] => 0011001
[2,7,6,3,1,8,4,5] => [3,2,6,7,1,8,4,5] => [2,8,3,1,7,6,4,5] => 0100111
[2,8,4,6,3,7,5,1] => [5,2,7,6,8,1,4,3] => [2,8,1,6,4,7,5,3] => 0001111
[4,8,6,2,7,1,5,3] => [7,6,5,4,1,8,2,3] => [4,5,1,8,6,2,7,3] => 0001111
[4,7,5,3,8,2,1,6] => [2,8,5,4,7,1,3,6] => [4,7,5,2,1,8,3,6] => 1001011
[1,6,5,8,3,4,2,7] => [1,4,8,3,6,5,2,7] => [1,6,5,8,3,4,2,7] => 0010101
[6,1,5,3,8,4,2,7] => [6,4,8,5,1,2,3,7] => [5,1,8,4,2,6,3,7] => 0011101
[8,1,5,4,7,2,6,3] => [8,7,6,5,1,2,4,3] => [5,1,6,2,7,4,8,3] => 0001111
[4,7,2,8,5,6,3,1] => [3,6,7,4,8,5,1,2] => [4,8,5,7,1,6,3,2] => 0100111
[1,4,8,7,3,5,6,2] => [1,6,7,4,3,5,8,2] => [1,4,8,7,3,5,6,2] => 0000111
[3,6,8,5,7,4,1,2] => [4,1,3,7,8,6,5,2] => [3,6,8,5,7,4,1,2] => 0010011
[4,7,6,8,5,3,1,2] => [3,1,5,4,8,7,6,2] => [4,7,6,8,5,3,1,2] => 0101011
[5,7,2,8,6,4,1,3] => [4,6,1,8,5,7,2,3] => [5,7,1,8,6,4,2,3] => 0010111
[3,8,7,5,6,4,2,1] => [2,4,3,6,7,5,8,1] => [3,8,7,5,6,4,2,1] => 1010111
[2,8,7,6,4,5,3,1] => [3,2,5,6,4,7,8,1] => [2,8,7,6,4,5,3,1] => 0101111
[1,8,7,6,5,3,4,2] => [1,4,5,3,6,7,8,2] => [1,8,7,6,5,3,4,2] => 0011111
[3,6,7,4,8,1,5,2] => [8,5,3,7,1,6,4,2] => [3,6,7,1,5,4,8,2] => 0001011
[8,2,6,1,7,5,4,3] => [6,8,4,5,7,2,1,3] => [7,5,4,2,8,1,6,3] => 0011111
[6,8,3,7,1,5,4,2] => [7,4,5,8,1,6,2,3] => [6,8,1,5,4,2,7,3] => 0011011
[1,7,3,8,2,6,5,4] => [1,8,7,5,6,2,3,4] => [1,6,5,2,7,3,8,4] => 0001111
[2,6,8,4,1,7,5,3] => [4,2,8,5,7,6,3,1] => [2,6,7,5,3,8,4,1] => 0011011
[3,6,1,8,2,7,5,4] => [6,8,3,5,7,1,2,4] => [3,7,5,1,8,2,6,4] => 0001111
[6,2,1,8,3,7,5,4] => [2,6,8,5,7,1,3,4] => [7,5,2,1,8,3,6,4] => 1001111
[8,1,5,6,3,2,4,7] => [8,3,6,2,1,5,4,7] => [6,3,2,5,8,1,4,7] => 0100101
[1,7,8,3,5,2,4,6] => [1,5,8,2,3,4,7,6] => [1,7,8,2,5,3,4,6] => 0001001
[1,7,2,4,8,5,3,6] => [1,7,5,2,8,3,4,6] => [1,8,5,2,7,3,4,6] => 0001011
[1,7,8,5,4,3,2,6] => [1,3,4,5,8,2,7,6] => [1,7,8,5,4,3,2,6] => 0111001
[2,6,8,7,4,3,5,1] => [5,2,4,7,3,6,8,1] => [2,6,8,7,4,3,5,1] => 0011011
[1,2,6,7,8,4,3,5] => [1,2,4,8,3,6,7,5] => [1,2,6,7,8,4,3,5] => 0010001
[2,1,7,8,4,5,3,6] => [2,1,5,8,4,3,7,6] => [2,1,7,8,4,5,3,6] => 1001001
[3,7,8,2,1,5,4,6] => [2,8,3,5,1,4,7,6] => [3,5,2,1,7,8,4,6] => 1001001
[8,4,7,5,3,6,1,2] => [6,1,5,7,8,4,3,2] => [8,4,7,5,3,6,1,2] => 0001111
[3,5,8,6,7,4,1,2] => [4,1,3,7,5,8,6,2] => [3,5,8,6,7,4,1,2] => 0010011
[3,6,8,4,7,1,5,2] => [7,5,3,8,1,6,4,2] => [3,6,8,1,5,4,7,2] => 0001011
[3,7,5,4,2,1,8,6] => [2,4,3,5,7,8,1,6] => [3,8,5,4,2,1,7,6] => 1011011
[8,7,2,4,6,5,3,1] => [3,5,6,2,7,4,8,1] => [8,7,2,4,6,5,3,1] => 0101111
[8,2,6,7,3,1,5,4] => [3,7,8,5,2,1,6,4] => [5,2,8,3,1,6,7,4] => 0101011
[1,8,2,3,6,5,4,7] => [1,8,2,5,6,3,4,7] => [1,6,5,2,3,8,4,7] => 0001101
[3,5,8,4,7,2,6,1] => [6,7,3,8,5,2,4,1] => [3,5,8,2,7,4,6,1] => 0000111
[1,8,5,4,6,2,3,7] => [1,6,2,5,8,4,3,7] => [1,8,5,4,6,2,3,7] => 0001101
[2,8,5,4,6,1,3,7] => [6,2,1,5,8,4,3,7] => [2,8,5,4,6,1,3,7] => 0001101
[2,8,5,4,6,3,1,7] => [3,2,6,5,8,4,1,7] => [2,8,5,4,6,3,1,7] => 0101101
[4,5,8,1,7,6,2,3] => [8,6,2,4,5,7,1,3] => [4,5,7,6,2,8,1,3] => 0000111
[1,5,8,4,7,3,6,2] => [1,6,7,8,5,3,4,2] => [1,5,8,3,7,4,6,2] => 0000111
[7,6,1,3,8,4,2,5] => [6,4,2,7,1,8,3,5] => [8,4,2,7,6,1,3,5] => 0010111
[1,6,4,2,7,8,3,5] => [1,4,6,8,2,3,7,5] => [1,7,8,2,6,4,3,5] => 0010101
[2,6,4,3,7,1,8,5] => [7,2,4,6,8,3,1,5] => [2,8,4,3,6,1,7,5] => 0010111
[7,2,3,1,8,6,4,5] => [3,7,2,6,4,8,1,5] => [8,6,4,7,2,3,1,5] => 0100111
[1,2,4,3,8,5,7,6] => [1,2,4,3,8,7,5,6] => [1,2,4,3,7,5,8,6] => 0010011
[7,2,8,6,3,4,1,5] => [4,7,6,3,1,8,2,5] => [8,6,3,7,1,4,2,5] => 0010111
[7,2,3,1,5,6,8,4] => [3,7,2,8,1,5,6,4] => [8,2,3,1,5,6,7,4] => 0100011
[7,2,3,8,1,6,5,4] => [8,7,2,5,6,1,3,4] => [6,5,2,7,1,3,8,4] => 0001111
[1,5,8,4,7,6,2,3] => [1,6,2,7,5,8,3,4] => [1,5,8,2,3,7,6,4] => 0000111
[3,5,8,1,6,7,2,4] => [8,7,3,2,5,1,6,4] => [3,5,7,2,6,8,1,4] => 0000011
[7,6,1,8,5,4,2,3] => [6,4,1,5,7,8,2,3] => [8,5,4,1,7,6,2,3] => 0011111
[3,1,6,5,8,4,7,2] => [3,7,1,8,6,5,4,2] => [6,5,8,4,7,1,3,2] => 0100111
[3,2,6,5,8,4,7,1] => [7,3,2,8,6,5,4,1] => [3,2,6,5,8,4,7,1] => 0100111
[4,3,7,1,6,5,8,2] => [7,8,4,3,6,1,5,2] => [4,3,6,1,8,5,7,2] => 0010111
[5,1,6,4,8,3,7,2] => [5,7,8,6,1,4,3,2] => [6,1,8,4,7,3,5,2] => 0001111
[4,3,7,5,8,1,6,2] => [8,6,4,3,7,1,5,2] => [4,3,7,1,6,5,8,2] => 0010111
[4,3,7,1,5,2,8,6] => [7,5,4,3,1,8,2,6] => [4,3,5,1,8,2,7,6] => 0011011
[4,3,7,1,6,2,8,5] => [7,6,4,3,8,1,2,5] => [4,3,8,1,6,2,7,5] => 0010111
[5,4,8,2,6,3,7,1] => [7,8,6,5,4,2,3,1] => [5,4,6,2,8,3,7,1] => 0001111
[5,4,8,1,6,3,7,2] => [8,7,6,5,4,1,3,2] => [5,4,6,1,7,3,8,2] => 0001111
[5,1,2,7,6,3,8,4] => [5,1,6,7,2,8,4,3] => [8,1,2,7,6,4,5,3] => 0001111
[4,8,2,7,3,5,1,6] => [5,8,7,4,3,1,2,6] => [4,7,3,8,1,5,2,6] => 0001011
[4,1,8,7,6,3,2,5] => [4,3,6,1,2,7,8,5] => [8,7,6,3,1,4,2,5] => 0110111
[4,1,7,8,6,3,2,5] => [4,3,6,1,2,8,7,5] => [7,8,6,3,1,4,2,5] => 0110101
[4,7,2,8,3,5,1,6] => [5,7,8,4,3,1,2,6] => [4,8,3,7,1,5,2,6] => 0001011
[1,2,6,8,3,7,4,5] => [1,2,8,7,4,6,3,5] => [1,2,6,7,4,8,3,5] => 0000011
[6,8,3,2,1,4,7,5] => [2,3,8,1,7,6,4,5] => [6,7,3,2,1,4,8,5] => 1100011
[6,7,5,2,1,8,3,4] => [2,5,7,1,8,6,3,4] => [6,8,2,1,7,5,3,4] => 1001011
[8,4,3,1,6,5,7,2] => [3,4,8,7,6,1,5,2] => [6,1,7,5,8,4,3,2] => 0110111
[7,5,8,4,3,1,6,2] => [3,4,8,6,7,1,5,2] => [7,1,6,5,8,4,3,2] => 0110111
[6,8,2,4,1,3,7,5] => [4,8,1,2,7,6,3,5] => [6,7,1,4,2,3,8,5] => 0010011
[2,8,4,7,6,3,5,1] => [5,2,6,7,4,8,3,1] => [2,8,4,7,6,3,5,1] => 0001111
[6,1,2,7,5,8,4,3] => [6,1,4,8,7,2,5,3] => [7,4,1,2,8,5,6,3] => 0010111
[3,4,7,5,1,6,8,2] => [5,7,3,4,8,2,6,1] => [3,4,8,2,6,7,5,1] => 0001011
[8,4,6,5,7,3,1,2] => [3,1,7,8,6,4,5,2] => [6,4,8,5,7,3,1,2] => 0100111
[6,2,5,7,3,8,4,1] => [4,8,6,7,3,5,1,2] => [7,3,5,6,1,8,4,2] => 0010111
[4,2,7,3,8,5,6,1] => [6,4,7,2,8,5,3,1] => [8,5,7,2,4,3,6,1] => 0010111
[4,5,2,6,8,3,7,1] => [7,5,8,4,2,6,3,1] => [4,6,8,2,5,3,7,1] => 0001011
[4,8,3,2,5,7,6,1] => [6,3,7,4,1,8,5,2] => [4,8,3,1,5,7,6,2] => 0100111
[7,2,4,3,8,5,6,1] => [6,7,4,2,8,5,3,1] => [4,2,8,5,7,3,6,1] => 0010111
[8,2,6,7,5,1,4,3] => [5,7,4,2,8,1,6,3] => [4,2,8,1,6,7,5,3] => 0011011
[6,1,7,5,8,4,2,3] => [6,4,2,8,7,1,5,3] => [7,4,2,8,5,6,1,3] => 0010111
[8,4,7,6,2,3,5,1] => [5,6,2,7,4,8,3,1] => [8,4,7,6,2,3,5,1] => 0001111
[8,3,4,7,6,2,5,1] => [5,6,7,2,3,8,4,1] => [8,2,7,6,3,4,5,1] => 0001111
[4,7,6,2,5,8,3,1] => [3,8,6,4,1,7,5,2] => [4,7,6,1,5,8,3,2] => 0100111
[1,8,3,5,2,6,7,4] => [1,5,8,7,3,2,6,4] => [1,7,3,6,8,2,5,4] => 0001011
[8,3,5,1,4,7,6,2] => [5,6,7,1,2,8,4,3] => [8,1,7,6,2,4,5,3] => 0001111
[6,1,5,8,4,3,7,2] => [6,7,4,8,1,5,3,2] => [8,4,1,5,7,3,6,2] => 0010111
[7,5,3,4,8,2,6,1] => [6,8,5,3,7,2,4,1] => [7,5,3,8,2,4,6,1] => 0001111
[6,7,2,8,5,4,3,1] => [3,4,5,8,7,6,1,2] => [6,7,1,8,5,4,3,2] => 0111011
[6,8,5,4,2,3,7,1] => [7,4,2,5,8,6,3,1] => [6,8,5,4,2,3,7,1] => 0011011
[6,8,4,7,1,3,5,2] => [7,5,1,8,3,6,4,2] => [6,8,1,3,5,4,7,2] => 0001011
[5,8,2,4,3,7,6,1] => [6,7,4,1,5,8,3,2] => [4,1,5,8,3,7,6,2] => 0010111
[6,7,1,5,3,8,4,2] => [7,4,8,5,1,6,2,3] => [5,1,6,8,4,2,7,3] => 0011011
[8,1,3,2,5,6,4,7] => [8,3,1,6,2,5,4,7] => [3,1,6,2,5,8,4,7] => 0100101
[8,1,2,4,3,6,7,5] => [8,1,4,2,7,3,6,5] => [4,1,2,7,3,6,8,5] => 0010011
[10,1,3,2,5,4,7,6,9,8] => [10,3,1,5,2,7,4,9,6,8] => [3,1,5,2,7,4,9,6,10,8] => 010101011
[12,1,3,2,5,4,7,6,9,8,11,10] => [12,3,1,5,2,7,4,9,6,11,8,10] => [3,1,5,2,7,4,9,6,11,8,12,10] => 01010101011
[6,5,3,8,4,2,7,1] => [7,4,8,5,6,2,3,1] => [6,5,2,8,4,3,7,1] => 0011111
[7,4,5,1,6,2,8,3] => [5,6,8,7,4,1,2,3] => [7,4,8,1,6,2,5,3] => 0001111
[4,7,3,5,6,2,8,1] => [8,6,7,4,3,5,2,1] => [4,7,3,5,6,2,8,1] => 0000111
[6,7,8,4,1,3,5,2] => [4,8,2,5,3,6,7,1] => [5,2,3,6,7,8,4,1] => 0011001
[3,1,6,8,4,7,5,2] => [3,5,1,7,8,6,2,4] => [6,8,1,3,2,7,5,4] => 0101011
[8,3,6,1,5,7,4,2] => [6,4,7,8,1,2,5,3] => [8,1,7,4,2,5,6,3] => 0010111
[3,2,7,5,8,6,1,4] => [6,3,2,1,8,7,4,5] => [3,2,7,1,4,8,6,5] => 0100111
[2,4,7,5,8,6,1,3] => [6,2,1,4,8,7,3,5] => [2,4,7,1,3,8,6,5] => 0000111
[2,4,6,7,8,1,5,3] => [8,2,5,4,1,6,7,3] => [2,4,5,1,6,7,8,3] => 0001001
[7,4,3,8,6,2,1,5] => [2,6,4,8,3,7,1,5] => [7,4,3,8,6,2,1,5] => 1010111
[3,5,2,7,8,1,4,6] => [8,5,3,1,2,4,7,6] => [3,5,1,7,8,2,4,6] => 0001001
[3,2,7,6,1,8,4,5] => [6,3,2,7,1,8,4,5] => [3,2,8,1,7,6,4,5] => 0100111
[4,3,6,2,1,8,5,7] => [2,6,4,3,8,1,5,7] => [4,3,8,2,1,6,5,7] => 1010101
[3,6,4,2,5,8,1,7] => [8,4,3,6,2,5,1,7] => [3,6,4,2,5,8,1,7] => 0010101
[4,6,2,3,7,5,8,1] => [8,6,2,4,7,3,5,1] => [4,7,2,3,6,5,8,1] => 0000111
[4,3,6,2,7,1,5,8] => [7,6,4,3,1,2,5,8] => [4,3,6,1,7,2,5,8] => 0010110
[7,4,6,3,2,1,5,8] => [2,3,6,7,1,4,5,8] => [7,3,2,1,6,4,5,8] => 1100110
[6,4,8,3,2,1,5,7] => [2,3,8,6,1,4,5,7] => [6,3,2,1,8,4,5,7] => 1100101
[5,8,3,4,2,1,7,6] => [2,4,8,3,5,7,1,6] => [5,7,3,4,2,1,8,6] => 1010011
[6,4,8,3,2,7,1,5] => [7,3,8,6,1,4,2,5] => [6,3,1,8,4,7,2,5] => 0100111
[5,6,8,3,2,7,1,4] => [7,3,8,1,5,6,2,4] => [5,6,8,3,1,7,2,4] => 0100011
[5,8,3,7,2,1,6,4] => [2,7,8,6,5,1,3,4] => [5,6,2,1,8,3,7,4] => 1000111
[2,5,6,4,1,8,7,3] => [4,2,6,7,5,3,8,1] => [2,5,8,7,3,6,4,1] => 0010111
[2,8,6,5,3,7,4,1] => [4,2,7,5,6,8,1,3] => [2,8,6,5,1,7,4,3] => 0011111
[2,5,6,4,7,1,8,3] => [7,2,8,6,5,4,1,3] => [2,5,6,4,8,1,7,3] => 0000111
[2,6,5,4,1,7,8,3] => [4,2,5,6,8,1,7,3] => [2,7,8,1,6,5,4,3] => 0011101
[2,5,4,8,1,6,7,3] => [8,2,7,5,4,1,6,3] => [2,5,4,7,1,6,8,3] => 0001011
[5,7,6,3,2,8,1,4] => [8,3,6,1,5,7,2,4] => [5,7,6,3,1,8,2,4] => 0100111
[6,4,7,3,8,2,1,5] => [2,8,7,6,1,4,3,5] => [6,2,1,7,4,8,3,5] => 1000111
[7,5,4,2,3,8,6,1] => [6,4,1,5,8,7,3,2] => [7,5,4,1,3,8,6,2] => 0011111
[6,7,4,3,2,1,8,5] => [2,3,4,7,8,6,1,5] => [6,8,4,3,2,1,7,5] => 1110011
[8,4,6,3,2,1,5,7] => [2,3,6,8,1,4,5,7] => [8,3,2,1,6,4,5,7] => 1100101
[1,2,6,5,8,7,3,4] => [1,2,7,3,6,5,8,4] => [1,2,6,5,8,7,3,4] => 0000111
[1,5,2,8,4,6,7,3] => [1,5,7,8,2,4,6,3] => [1,8,2,6,7,4,5,3] => 0001011
[5,1,2,7,3,6,8,4] => [5,1,7,8,2,3,6,4] => [8,1,2,6,7,3,5,4] => 0001011
[6,5,3,4,8,7,2,1] => [2,7,5,3,6,4,8,1] => [6,5,3,4,8,7,2,1] => 1001111
[4,1,2,7,3,6,8,5] => [4,1,7,2,8,3,6,5] => [8,1,2,4,3,6,7,5] => 0010011
[5,1,2,8,3,6,4,7] => [5,1,8,6,2,3,4,7] => [6,1,2,8,3,5,4,7] => 0001101
[7,5,3,8,4,6,2,1] => [2,6,5,7,8,3,4,1] => [8,3,7,5,4,6,2,1] => 1001111
[8,5,3,7,4,6,2,1] => [2,6,5,8,7,3,4,1] => [7,3,8,5,4,6,2,1] => 1001111
[1,6,8,2,4,5,3,7] => [1,8,5,2,4,6,3,7] => [1,5,2,4,6,8,3,7] => 0001001
[5,8,1,2,3,4,7,6] => [8,1,2,3,5,7,4,6] => [5,7,1,2,3,4,8,6] => 0000011
[7,1,8,2,3,5,4,6] => [7,8,2,5,3,4,1,6] => [5,2,3,8,4,7,1,6] => 0001011
[7,1,2,8,3,6,4,5] => [7,1,8,6,4,3,2,5] => [6,4,8,3,7,1,2,5] => 0000111
[6,1,8,2,3,5,7,4] => [6,8,2,7,3,1,5,4] => [7,2,3,8,1,5,6,4] => 0000111
[6,1,7,2,3,5,8,4] => [6,7,2,8,3,1,5,4] => [8,2,3,7,1,5,6,4] => 0000111
[1,6,7,2,4,5,8,3] => [1,7,8,2,4,6,5,3] => [1,6,8,2,4,5,7,3] => 0000011
[4,3,8,7,5,6,2,1] => [2,6,4,3,7,5,8,1] => [4,3,8,7,5,6,2,1] => 1010111
[1,8,2,7,4,6,5,3] => [1,8,5,6,7,3,2,4] => [1,7,3,6,5,2,8,4] => 0001111
[5,8,3,7,4,6,2,1] => [2,6,8,7,5,4,3,1] => [5,7,4,8,3,6,2,1] => 1000111
[1,8,7,2,4,5,3,6] => [1,7,5,2,4,3,8,6] => [1,5,2,4,8,7,3,6] => 0001011
[8,7,1,2,3,4,6,5] => [7,1,2,3,6,4,8,5] => [6,1,2,3,4,8,7,5] => 0000111
[8,6,1,2,3,4,7,5] => [6,1,2,3,8,7,5,4] => [7,5,8,6,1,2,3,4] => 0000111
[8,5,1,2,3,4,7,6] => [5,1,2,3,8,7,4,6] => [7,5,1,2,3,4,8,6] => 0001011
[8,1,6,2,3,5,4,7] => [8,6,2,5,3,1,4,7] => [5,2,3,6,1,8,4,7] => 0001101
[1,8,6,2,4,5,3,7] => [1,6,5,2,4,8,3,7] => [1,5,2,4,8,6,3,7] => 0001101
[1,7,6,2,4,5,3,8] => [1,6,5,2,4,7,3,8] => [1,5,2,4,7,6,3,8] => 0001110
[1,8,7,4,6,3,5,2] => [1,5,6,7,3,4,8,2] => [1,8,7,3,6,4,5,2] => 0001111
[4,7,2,6,1,8,5,3] => [6,7,5,4,8,2,1,3] => [4,8,5,2,7,1,6,3] => 0001111
[4,2,5,8,7,3,6,1] => [6,4,7,2,5,3,8,1] => [5,8,7,2,4,3,6,1] => 0010111
[8,1,2,4,7,3,6,5] => [8,1,7,2,6,3,4,5] => [6,1,2,7,3,4,8,5] => 0000111
[2,3,4,6,8,5,7,1] => [7,2,3,4,8,6,5,1] => [2,3,4,6,8,5,7,1] => 0000011
[1,5,6,8,3,7,4,2] => [1,4,7,8,5,6,2,3] => [1,5,6,8,2,7,4,3] => 0010011
[8,2,4,5,1,3,7,6] => [5,8,1,2,4,7,3,6] => [7,1,4,5,2,3,8,6] => 0001011
[1,3,8,5,2,4,6,7] => [1,5,3,2,8,4,6,7] => [1,3,8,5,2,4,6,7] => 0001001
[3,4,1,8,5,2,6,7] => [4,5,3,1,8,2,6,7] => [3,8,5,1,4,2,6,7] => 0011001
[2,4,1,8,5,6,3,7] => [4,2,6,1,8,5,3,7] => [2,8,5,6,1,4,3,7] => 0010101
[1,6,2,7,8,5,3,4] => [1,6,5,3,8,2,7,4] => [1,7,8,5,3,6,2,4] => 0001101
[4,5,1,6,7,3,8,2] => [5,8,7,4,1,6,3,2] => [4,6,7,1,8,3,5,2] => 0001011
[2,8,4,1,7,5,3,6] => [4,2,8,5,7,1,3,6] => [2,7,5,1,8,4,3,6] => 0011011
[5,2,6,8,1,7,4,3] => [8,5,4,7,2,6,1,3] => [6,7,4,2,5,1,8,3] => 0011011
[5,7,3,2,6,8,1,4] => [8,3,7,1,5,2,6,4] => [5,7,3,1,6,8,2,4] => 0100011
[5,7,1,2,8,4,6,3] => [7,1,6,8,5,4,2,3] => [5,8,4,6,1,2,7,3] => 0000111
[3,1,6,7,8,4,2,5] => [3,4,1,8,2,6,7,5] => [6,7,8,4,1,3,2,5] => 0110001
[8,3,1,4,5,7,2,6] => [3,8,7,2,4,1,5,6] => [7,2,4,8,3,1,5,6] => 0100011
[2,6,3,8,7,5,4,1] => [4,2,5,7,6,3,8,1] => [2,6,3,8,7,5,4,1] => 0011111
[8,2,3,7,5,4,1,6] => [4,5,2,7,8,1,3,6] => [8,2,7,5,4,1,3,6] => 0011011
[8,3,6,1,5,4,2,7] => [6,4,5,8,1,2,3,7] => [8,1,5,4,2,6,3,7] => 0011101
[8,3,2,5,7,4,1,6] => [4,3,7,8,1,2,5,6] => [8,3,1,7,4,2,5,6] => 0110011
[8,3,1,7,5,4,2,6] => [3,8,4,5,7,1,2,6] => [7,5,4,1,8,3,2,6] => 0111011
[8,2,7,4,1,5,3,6] => [4,7,8,5,2,1,3,6] => [5,2,8,1,7,4,3,6] => 0011011
[3,8,1,5,7,6,4,2] => [8,4,3,6,1,7,5,2] => [3,7,6,4,1,5,8,2] => 0010111
[3,4,8,7,1,6,5,2] => [7,5,3,4,6,1,8,2] => [3,4,6,5,1,8,7,2] => 0001111
[8,1,3,5,7,6,4,2] => [8,4,1,6,3,7,5,2] => [7,6,4,1,3,5,8,2] => 0010111
[8,1,7,3,4,6,2,5] => [8,6,7,3,2,4,1,5] => [7,3,6,2,4,8,1,5] => 0000111
[3,8,2,4,7,6,5,1] => [5,6,3,2,7,8,4,1] => [3,8,2,4,7,6,5,1] => 0001111
[8,1,7,2,6,4,3,5] => [8,7,4,6,3,2,1,5] => [6,4,3,7,2,8,1,5] => 0010111
[8,2,3,7,4,6,1,5] => [6,8,2,7,1,4,3,5] => [7,2,8,4,6,1,3,5] => 0000111
[2,4,8,5,7,6,3,1] => [3,2,6,4,7,8,1,5] => [2,4,8,3,1,7,6,5] => 0100111
[8,2,7,3,5,1,4,6] => [5,8,7,1,3,4,2,6] => [7,1,8,3,4,5,2,6] => 0001011
[8,2,1,5,7,6,4,3] => [2,8,4,6,1,7,5,3] => [7,6,4,2,1,5,8,3] => 1010111
[6,2,1,8,7,5,4,3] => [2,6,4,5,7,1,8,3] => [8,7,5,4,2,1,6,3] => 1011111
[6,1,8,2,7,5,4,3] => [6,8,4,5,7,1,2,3] => [7,5,4,1,8,2,6,3] => 0011111
[8,1,7,3,5,2,6,4] => [8,5,7,6,3,2,1,4] => [6,3,7,2,5,1,8,4] => 0001111
[8,2,4,1,7,6,5,3] => [4,8,5,2,6,7,1,3] => [7,6,5,2,8,1,4,3] => 0011111
[4,2,8,3,7,6,5,1] => [5,4,6,2,7,8,3,1] => [8,2,4,3,7,6,5,1] => 0011111
[4,8,2,1,7,6,5,3] => [2,8,5,4,6,7,1,3] => [4,7,6,5,2,1,8,3] => 1001111
[5,8,1,3,7,6,2,4] => [8,6,1,2,5,7,3,4] => [5,7,6,1,8,2,3,4] => 0000111
[4,8,1,3,7,6,5,2] => [8,5,1,4,6,7,3,2] => [4,7,6,5,1,3,8,2] => 0001111
[4,3,8,1,7,6,5,2] => [8,5,4,3,6,7,1,2] => [4,3,7,6,5,1,8,2] => 0011111
[5,7,6,3,2,4,1,8] => [4,3,6,2,5,7,1,8] => [5,7,6,3,2,4,1,8] => 0110110
[8,5,1,3,2,4,6,7] => [5,3,1,2,8,4,6,7] => [3,1,8,5,2,4,6,7] => 0101001
[7,5,8,2,1,4,3,6] => [2,8,4,1,7,3,5,6] => [4,2,1,7,3,8,5,6] => 1010011
[6,8,1,2,5,7,4,3] => [8,1,4,7,2,6,5,3] => [6,7,4,1,2,5,8,3] => 0010011
[8,1,6,4,2,3,5,7] => [8,4,2,6,3,1,5,7] => [6,4,2,3,8,1,5,7] => 0010101
[1,8,6,5,2,3,7,4] => [1,5,2,6,8,7,3,4] => [1,7,2,3,8,6,5,4] => 0001111
[7,6,8,1,3,4,2,5] => [8,4,1,3,2,7,6,5] => [4,1,3,7,6,8,2,5] => 0010011
[7,1,3,8,2,5,6,4] => [7,8,1,6,2,5,3,4] => [6,1,5,8,2,3,7,4] => 0000111
[7,3,5,4,2,1,8,6] => [2,4,5,7,1,8,3,6] => [8,2,1,5,4,3,7,6] => 1011011
[7,4,5,2,1,6,8,3] => [2,5,8,7,4,1,6,3] => [7,4,6,8,2,1,5,3] => 1001011
[7,4,3,2,6,1,8,5] => [6,3,4,7,8,2,1,5] => [8,4,3,2,7,1,6,5] => 0110111
[7,3,2,8,5,6,1,4] => [6,3,7,1,8,5,2,4] => [8,5,7,3,1,6,2,4] => 0100111
[7,2,5,4,1,6,3,8] => [4,5,7,6,3,2,1,8] => [6,3,7,2,5,4,1,8] => 0011110
[1,5,2,4,7,8,3,6] => [1,5,8,2,4,3,7,6] => [1,7,8,2,4,5,3,6] => 0001001
[2,7,4,3,6,8,5,1] => [5,2,4,8,7,1,6,3] => [2,7,4,1,6,8,5,3] => 0011011
[1,7,4,3,6,8,5,2] => [1,5,4,8,7,2,6,3] => [1,7,4,2,6,8,5,3] => 0011011
[3,7,1,8,2,5,6,4] => [7,8,3,6,2,5,1,4] => [3,6,2,5,8,1,7,4] => 0000111
[4,7,6,5,2,3,8,1] => [8,5,2,4,6,7,3,1] => [4,7,6,5,2,3,8,1] => 0001111
[4,7,6,5,1,3,8,2] => [5,6,1,4,7,8,3,2] => [4,8,1,3,7,6,5,2] => 0001111
[1,7,6,5,2,3,8,4] => [1,5,2,6,7,8,3,4] => [1,8,2,3,7,6,5,4] => 0001111
[5,7,6,3,2,8,4,1] => [4,3,8,6,5,7,1,2] => [5,7,6,3,1,8,4,2] => 0110111
[6,7,4,2,1,8,5,3] => [2,4,7,5,8,6,3,1] => [6,8,5,3,7,4,2,1] => 1011011
[6,5,8,2,3,7,4,1] => [4,7,1,8,6,5,3,2] => [6,5,8,1,3,7,4,2] => 0010111
[4,1,2,8,5,3,6,7] => [4,1,5,2,8,3,6,7] => [8,5,1,2,4,3,6,7] => 0011001
[2,1,6,3,7,8,5,4] => [2,1,6,5,8,3,7,4] => [2,1,7,8,5,3,6,4] => 1001101
[4,7,1,6,8,2,5,3] => [7,8,5,4,2,1,6,3] => [4,5,2,8,1,6,7,3] => 0001011
[4,2,7,8,3,5,1,6] => [5,4,8,2,3,1,7,6] => [7,8,2,4,3,5,1,6] => 0011001
[1,7,6,2,5,8,4,3] => [1,6,4,7,3,8,5,2] => [1,8,4,3,5,7,6,2] => 0010111
[3,7,6,5,8,1,2,4] => [8,1,3,2,6,7,5,4] => [3,7,6,5,8,1,2,4] => 0000111
[2,7,1,5,8,4,3,6] => [7,2,4,8,1,3,5,6] => [2,8,4,1,7,3,5,6] => 0010011
[7,1,2,6,3,5,4,8] => [7,1,6,5,3,2,4,8] => [5,3,6,1,2,7,4,8] => 0001110
[6,7,8,4,2,5,3,1] => [3,5,4,8,1,6,7,2] => [6,7,8,4,1,5,3,2] => 0111001
[4,1,2,7,8,5,3,6] => [4,1,5,2,8,3,7,6] => [7,8,5,1,2,4,3,6] => 0011001
[4,7,3,1,6,2,8,5] => [3,7,6,4,8,2,1,5] => [4,8,2,6,3,1,7,5] => 0100111
[4,7,3,1,2,6,8,5] => [3,1,7,4,8,2,6,5] => [4,8,3,1,2,6,7,5] => 0100011
[2,7,6,5,4,1,8,3] => [4,2,5,6,7,8,3,1] => [2,8,3,7,6,5,4,1] => 0011111
[2,7,1,8,5,3,6,4] => [7,2,5,8,6,4,1,3] => [2,6,4,8,5,1,7,3] => 0001111
[3,2,6,4,7,8,5,1] => [5,3,2,8,6,1,7,4] => [3,2,6,1,7,8,5,4] => 0101101
[4,2,7,5,8,3,1,6] => [3,8,4,1,7,2,5,6] => [4,1,7,3,2,8,5,6] => 0110011
[4,2,7,1,3,8,6,5] => [7,4,1,2,6,8,3,5] => [4,1,8,6,2,3,7,5] => 0010111
[4,8,1,6,2,7,5,3] => [8,6,5,4,7,1,2,3] => [4,7,5,1,6,2,8,3] => 0001111
[6,1,8,4,2,7,5,3] => [6,4,8,5,7,1,3,2] => [7,5,1,8,4,3,6,2] => 0011111
[5,2,1,4,7,8,3,6] => [2,5,8,1,4,3,7,6] => [7,8,2,1,4,5,3,6] => 1001001
[2,7,6,8,5,1,3,4] => [5,2,1,3,8,7,6,4] => [2,7,6,8,5,1,3,4] => 0001011
[2,7,8,6,1,5,4,3] => [6,2,4,5,1,8,7,3] => [2,5,4,1,7,8,6,3] => 0011101
[2,7,6,8,5,3,1,4] => [3,2,5,1,8,7,6,4] => [2,7,6,8,5,3,1,4] => 0101011
[1,5,8,6,4,2,3,7] => [1,4,2,6,5,8,3,7] => [1,5,8,6,4,2,3,7] => 0010101
[2,5,8,6,4,1,7,3] => [4,2,6,8,5,7,1,3] => [2,5,7,1,8,6,4,3] => 0010111
[5,7,2,3,6,1,4,8] => [6,7,2,1,5,3,4,8] => [5,7,2,6,1,3,4,8] => 0000110
[1,7,2,3,6,5,8,4] => [1,7,2,8,6,3,5,4] => [1,6,2,3,8,5,7,4] => 0000111
[4,7,2,3,1,6,8,5] => [3,7,2,4,8,1,6,5] => [4,8,2,3,1,6,7,5] => 0100011
[3,4,6,5,1,2,7,8] => [5,1,3,4,6,2,7,8] => [3,4,6,5,1,2,7,8] => 0001100
[1,2,7,4,5,8,6,3] => [1,2,6,8,3,7,5,4] => [1,2,7,3,5,8,6,4] => 0000111
[1,5,3,6,8,4,2,7] => [1,4,8,5,2,6,3,7] => [1,5,2,6,8,4,3,7] => 0011001
[4,3,8,2,6,7,5,1] => [5,7,4,3,8,1,6,2] => [4,3,8,1,6,7,5,2] => 0011011
[4,3,8,2,5,7,1,6] => [7,8,4,3,2,1,5,6] => [4,3,8,2,7,1,5,6] => 0010011
[4,1,6,2,5,3,7,8] => [4,6,5,1,2,3,7,8] => [5,1,6,2,4,3,7,8] => 0011100
[5,1,8,6,4,7,2,3] => [5,7,2,6,1,8,4,3] => [8,6,2,7,4,5,1,3] => 0001111
[6,7,2,3,5,1,4,8] => [5,7,2,1,3,6,4,8] => [6,7,2,5,1,3,4,8] => 0001010
[5,2,7,8,6,1,3,4] => [6,5,1,3,2,8,7,4] => [5,1,3,7,8,6,2,4] => 0001101
[2,1,7,8,6,3,5,4] => [2,1,6,5,3,8,7,4] => [2,1,5,3,7,8,6,4] => 1001101
[6,5,2,3,8,1,7,4] => [8,5,2,6,7,4,1,3] => [7,4,6,5,2,8,1,3] => 0001111
[8,7,4,6,2,1,3,5] => [2,6,1,7,3,4,8,5] => [8,7,2,1,3,6,4,5] => 1000111
[7,8,2,4,1,6,3,5] => [4,8,6,2,3,1,7,5] => [6,2,7,8,3,4,1,5] => 0010101
[1,8,7,5,2,3,6,4] => [1,5,2,7,6,4,8,3] => [1,6,4,8,7,5,2,3] => 0001111
[8,1,7,5,2,3,4,6] => [8,5,2,3,7,4,1,6] => [7,5,2,3,4,8,1,6] => 0001011
[8,6,3,1,4,2,5,7] => [3,6,4,2,1,8,5,7] => [4,2,8,6,3,1,5,7] => 0110101
[4,8,3,6,1,7,2,5] => [6,7,8,4,2,3,1,5] => [4,8,2,7,3,6,1,5] => 0000111
[9,2,3,4,5,6,7,8,1] => [8,9,2,3,4,5,6,7,1] => [9,2,3,4,5,6,7,8,1] => 00000011
[4,2,3,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => 01100000
[1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => 00100000
[1,2,4,6,8,9,7,5,3] => [1,2,5,4,7,6,9,8,3] => [1,2,4,6,8,9,7,5,3] => 00010101
[1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => 001000000
[1,2,4,6,8,10,9,7,5,3] => [1,2,5,4,7,6,9,8,10,3] => [1,2,4,6,8,10,9,7,5,3] => 000101011
[1,2,4,6,8,5,7,3] => [1,2,7,4,8,6,5,3] => [1,2,4,6,8,5,7,3] => 0000011
[4,7,3,8,6,5,2,1] => [2,5,6,4,8,7,3,1] => [4,7,3,8,6,5,2,1] => 1001111
[7,3,8,4,6,5,1,2] => [5,1,6,7,8,2,4,3] => [8,1,2,7,4,6,5,3] => 0001111
[4,5,8,7,2,6,1,3] => [6,7,1,4,5,2,8,3] => [4,5,8,7,1,6,2,3] => 0000111
[4,2,7,6,5,8,3,1] => [3,8,4,1,6,7,5,2] => [4,1,7,6,5,8,3,2] => 0110111
[4,6,7,8,5,2,3,1] => [3,5,2,4,8,6,7,1] => [4,6,7,8,5,2,3,1] => 0101001
[3,8,5,4,1,7,6,2] => [4,5,3,8,6,7,1,2] => [3,7,6,1,8,5,4,2] => 0011111
[6,4,7,2,5,8,3,1] => [3,8,7,6,1,4,5,2] => [6,1,7,4,5,8,3,2] => 0100111
[6,3,8,7,5,1,4,2] => [5,4,7,3,6,1,8,2] => [6,3,4,1,8,7,5,2] => 0011111
[5,3,6,4,1,2,8,7] => [4,1,6,5,2,3,8,7] => [5,1,2,6,4,3,8,7] => 0011101
[6,8,4,3,5,7,1,2] => [7,1,4,8,3,6,5,2] => [6,8,4,3,5,7,1,2] => 0010011
[1,8,2,5,4,3,6,7] => [1,8,4,5,2,3,6,7] => [1,5,4,2,8,3,6,7] => 0011001
[5,2,4,1,7,8,3,6] => [4,5,8,2,1,3,7,6] => [7,8,2,5,1,4,3,6] => 0011001
[4,2,5,1,7,8,3,6] => [5,4,8,2,1,3,7,6] => [7,8,2,4,1,5,3,6] => 0011001
[1,4,5,3,8,2,6,7] => [1,8,5,4,3,2,6,7] => [1,4,5,3,8,2,6,7] => 0001001
[5,1,8,2,4,3,6,7] => [5,8,4,2,1,3,6,7] => [4,2,8,1,5,3,6,7] => 0011001
[5,3,2,8,4,1,6,7] => [4,3,8,5,1,2,6,7] => [5,3,1,8,4,2,6,7] => 0111001
[1,4,8,2,7,3,6,5] => [1,8,7,4,6,3,2,5] => [1,4,6,3,7,2,8,5] => 0000111
[1,8,7,2,5,3,6,4] => [1,7,5,6,2,3,8,4] => [1,6,2,5,3,8,7,4] => 0001111
[1,5,6,8,3,7,2,4] => [1,7,8,2,5,6,3,4] => [1,5,6,8,2,7,3,4] => 0000011
[8,6,2,7,1,4,3,5] => [7,6,4,1,3,8,2,5] => [4,1,8,6,3,7,2,5] => 0010111
[2,8,5,6,3,4,7,1] => [7,2,6,3,8,5,4,1] => [2,8,5,6,3,4,7,1] => 0000111
[8,1,6,3,5,4,7,2] => [8,7,6,5,3,1,4,2] => [5,3,6,1,7,4,8,2] => 0001111
[7,4,2,8,3,6,5,1] => [5,4,6,7,8,1,2,3] => [8,1,7,4,2,6,5,3] => 0011111
[7,1,2,5,8,4,6,3] => [7,1,6,8,2,4,5,3] => [8,1,2,6,4,5,7,3] => 0000111
[2,8,1,4,7,3,6,5] => [8,2,7,1,6,3,4,5] => [2,6,1,7,3,4,8,5] => 0000111
[1,6,2,7,4,8,5,3] => [1,6,5,8,7,2,3,4] => [1,7,2,8,5,3,6,4] => 0001111
[2,7,1,8,4,3,5,6] => [7,2,4,8,3,5,1,6] => [2,8,4,3,5,7,1,6] => 0010011
[6,7,1,8,3,2,4,5] => [7,3,8,2,4,6,1,5] => [6,8,3,2,4,7,1,5] => 0100011
[6,2,4,7,3,8,1,5] => [8,6,7,2,1,4,3,5] => [7,2,6,1,4,8,3,5] => 0000111
[6,8,2,3,7,1,5,4] => [7,8,2,5,1,6,3,4] => [5,2,6,8,1,3,7,4] => 0001011
[6,1,8,3,7,4,2,5] => [6,4,7,8,3,1,2,5] => [8,3,7,4,1,6,2,5] => 0010111
[6,7,2,8,1,3,4,5] => [8,7,1,3,4,6,2,5] => [6,7,1,3,4,8,2,5] => 0000011
[5,1,6,8,7,2,3,4] => [5,7,2,3,1,6,8,4] => [6,8,7,2,3,5,1,4] => 0001011
[3,5,6,1,4,2,8,7] => [6,4,3,1,5,2,8,7] => [3,4,1,5,6,2,8,7] => 0010101
[3,7,8,2,4,6,5,1] => [5,6,3,1,8,4,7,2] => [3,7,8,1,4,6,5,2] => 0001101
[4,2,7,8,1,5,6,3] => [8,4,6,2,1,5,7,3] => [6,2,4,1,5,7,8,3] => 0010101
[5,1,6,7,3,8,2,4] => [5,8,7,2,1,6,3,4] => [6,7,2,8,1,5,3,4] => 0001011
[3,8,6,7,5,1,2,4] => [5,1,3,2,7,8,6,4] => [3,8,6,7,5,1,2,4] => 0001011
[6,1,5,2,3,7,4,8] => [6,5,2,7,1,3,4,8] => [7,2,5,1,3,6,4,8] => 0001110
[7,8,2,1,3,6,4,5] => [2,8,1,6,4,3,7,5] => [6,4,7,8,2,1,3,5] => 1000101
[7,8,5,1,3,2,6,4] => [5,3,1,8,6,4,7,2] => [3,1,6,4,7,8,5,2] => 0101101
[5,1,6,8,2,3,7,4] => [5,8,2,7,1,6,3,4] => [6,7,2,8,1,3,5,4] => 0001011
[2,6,8,1,5,4,7,3] => [8,2,7,5,1,6,4,3] => [2,5,1,6,7,4,8,3] => 0001011
[2,3,7,6,5,1,8,4] => [5,2,3,6,7,8,1,4] => [2,3,8,1,7,6,5,4] => 0001111
[7,5,2,1,6,4,3,8] => [2,5,4,7,6,3,1,8] => [6,4,3,7,5,2,1,8] => 1011110
[5,7,2,4,3,1,8,6] => [3,4,7,1,5,8,2,6] => [5,8,1,4,3,2,7,6] => 0110011
[3,1,2,4,8,5,7,6] => [3,1,2,4,8,7,5,6] => [3,1,2,4,7,5,8,6] => 0100011
[2,5,8,4,6,3,1,7] => [3,2,6,8,5,4,1,7] => [2,5,8,4,6,3,1,7] => 0100101
[7,1,5,4,8,3,2,6] => [7,3,8,5,1,2,4,6] => [5,3,1,8,2,7,4,6] => 0101011
[5,2,7,4,6,3,1,8] => [3,6,5,7,1,4,2,8] => [7,1,5,4,6,3,2,8] => 0101110
[7,2,5,4,8,1,6,3] => [8,7,6,5,2,1,4,3] => [5,2,6,1,7,4,8,3] => 0001111
[6,1,4,2,3,8,7,5] => [6,4,2,1,7,3,8,5] => [4,2,8,7,1,3,6,5] => 0010111
[7,2,3,8,6,1,5,4] => [6,8,1,5,2,7,3,4] => [5,1,7,2,3,8,6,4] => 0001111
[7,2,3,8,6,1,4,5] => [6,8,1,2,4,7,3,5] => [7,1,4,8,6,2,3,5] => 0000111
[6,2,4,8,1,3,7,5] => [8,6,1,2,7,4,3,5] => [7,1,4,6,2,3,8,5] => 0000111
[7,3,2,8,4,1,6,5] => [4,3,8,7,6,2,1,5] => [6,3,2,7,4,1,8,5] => 0110111
[7,3,2,5,8,1,6,4] => [8,3,7,6,2,1,5,4] => [6,3,2,7,1,5,8,4] => 0100111
[5,3,8,4,1,2,6,7] => [4,1,8,5,2,3,6,7] => [5,1,2,8,4,3,6,7] => 0011001
[2,4,8,3,7,1,5,6] => [7,2,8,4,1,5,3,6] => [2,4,8,1,5,7,3,6] => 0000011
[5,1,8,7,4,3,6,2] => [5,6,4,7,1,3,8,2] => [8,7,4,1,6,3,5,2] => 0011111
[3,8,7,2,4,6,1,5] => [6,7,3,2,1,4,8,5] => [3,8,7,2,6,1,4,5] => 0000111
[8,4,7,6,3,5,1,2] => [5,1,6,7,4,8,3,2] => [8,4,7,6,3,5,1,2] => 0001111
[6,5,1,3,8,7,4,2] => [5,4,2,6,7,3,8,1] => [8,7,4,2,3,6,5,1] => 0011111
[5,1,6,8,3,7,4,2] => [5,4,7,8,1,6,2,3] => [6,8,1,7,4,2,5,3] => 0011011
[7,6,4,1,3,5,8,2] => [4,6,1,7,3,8,5,2] => [8,1,3,5,7,6,4,2] => 0010111
[5,6,2,7,4,3,1,8] => [3,4,7,6,5,2,1,8] => [5,6,2,7,4,3,1,8] => 0110110
[3,7,8,2,6,1,4,5] => [6,8,3,1,4,2,7,5] => [3,7,8,1,4,6,2,5] => 0000101
[6,8,4,7,3,1,2,5] => [3,1,7,8,2,6,4,5] => [6,8,3,1,2,7,4,5] => 0100011
[6,8,4,7,3,1,5,2] => [3,7,5,8,2,6,4,1] => [6,8,2,5,4,7,3,1] => 0101011
[3,7,8,2,6,1,5,4] => [6,8,3,5,1,2,7,4] => [3,5,1,7,8,2,6,4] => 0001101
[4,7,6,2,1,5,8,3] => [2,6,7,4,3,8,5,1] => [4,8,3,5,7,6,2,1] => 1000111
[7,5,4,6,1,8,2,3] => [6,8,2,5,7,4,1,3] => [7,5,4,8,2,6,1,3] => 0001111
[3,8,7,6,5,1,2,4] => [5,1,3,2,6,7,8,4] => [3,8,7,6,5,1,2,4] => 0001111
[3,2,5,6,1,7,4,8] => [6,3,2,7,5,1,4,8] => [3,2,5,7,1,6,4,8] => 0100110
[7,4,6,5,1,3,8,2] => [5,6,2,8,7,1,3,4] => [7,2,8,1,3,6,5,4] => 0001111
[8,5,4,6,1,3,2,7] => [6,3,1,5,8,4,2,7] => [3,1,8,5,4,6,2,7] => 0101101
[1,7,3,4,5,2,8,6] => [1,5,7,3,4,8,2,6] => [1,8,3,4,5,2,7,6] => 0001011
[1,7,2,5,4,3,8,6] => [1,7,4,5,2,8,3,6] => [1,5,4,2,8,3,7,6] => 0011011
[4,1,8,7,5,6,2,3] => [4,6,2,1,7,5,8,3] => [8,7,5,6,2,4,1,3] => 0010111
[1,5,8,7,4,3,6,2] => [1,6,4,7,5,3,8,2] => [1,5,8,7,4,3,6,2] => 0010111
[2,1,7,4,6,8,3,5] => [2,1,8,7,3,4,6,5] => [2,1,7,3,6,8,4,5] => 1000011
[7,4,6,1,2,3,8,5] => [6,1,2,7,8,4,3,5] => [8,4,7,1,2,3,6,5] => 0000111
[1,8,6,2,7,3,5,4] => [1,6,8,5,2,7,3,4] => [1,5,2,7,3,8,6,4] => 0001111
[1,7,8,6,2,3,5,4] => [1,6,2,5,3,8,7,4] => [1,5,2,3,7,8,6,4] => 0001101
[3,5,8,1,7,6,2,4] => [8,6,3,2,5,7,1,4] => [3,5,7,6,2,8,1,4] => 0000111
[8,2,1,3,4,5,6,7,9] => [2,8,1,3,4,5,6,7,9] => [8,2,1,3,4,5,6,7,9] => 10000010
[6,2,4,3,8,1,7,5] => [8,6,4,2,7,3,1,5] => [4,2,7,3,6,1,8,5] => 0010111
[5,7,4,3,1,6,2,8] => [3,4,7,6,5,1,2,8] => [5,6,1,7,4,3,2,8] => 0110110
[5,8,4,3,1,6,7,2] => [3,4,8,7,5,1,6,2] => [5,7,1,6,8,4,3,2] => 0110011
[6,3,7,2,5,4,8,1] => [8,7,6,5,2,3,4,1] => [5,2,6,3,7,4,8,1] => 0001111
[5,4,7,3,2,6,8,1] => [8,3,7,5,4,2,6,1] => [5,4,7,3,2,6,8,1] => 0101011
[5,7,2,6,3,4,8,1] => [8,7,6,3,5,2,4,1] => [5,6,3,7,2,4,8,1] => 0000111
[3,7,5,4,6,2,8,1] => [8,6,3,5,7,4,2,1] => [3,7,5,4,6,2,8,1] => 0001111
[8,2,5,4,6,3,1,7] => [3,6,8,5,1,4,2,7] => [5,1,8,4,6,3,2,7] => 0101101
[3,7,5,4,2,8,6,1] => [6,4,3,5,8,7,1,2] => [3,7,5,4,1,8,6,2] => 0011111
[5,8,1,7,3,4,2,6] => [8,4,7,3,5,2,1,6] => [5,7,3,4,2,8,1,6] => 0010011
[3,7,6,2,8,1,5,4] => [8,6,3,5,1,7,2,4] => [3,5,1,7,6,2,8,4] => 0001111
[4,3,7,6,2,8,5,1] => [5,8,4,3,6,7,1,2] => [4,3,7,6,1,8,5,2] => 0011111
[3,6,5,2,8,7,4,1] => [4,7,3,5,6,1,8,2] => [3,6,5,1,8,7,4,2] => 0011111
[3,6,5,7,2,8,4,1] => [4,8,3,7,6,5,1,2] => [3,6,5,7,1,8,4,2] => 0010111
[4,6,5,3,8,2,1,7] => [2,8,5,4,6,3,1,7] => [4,6,5,3,8,2,1,7] => 1001101
[2,6,5,8,7,3,1,4] => [3,2,7,1,6,5,8,4] => [2,6,5,8,7,3,1,4] => 0100111
[6,3,8,4,1,7,2,5] => [4,8,7,6,3,1,2,5] => [6,3,7,1,8,4,2,5] => 0010111
[3,2,8,7,6,4,1,5] => [4,3,2,6,1,7,8,5] => [3,2,8,7,6,4,1,5] => 0110111
[3,6,8,5,1,7,2,4] => [5,8,3,1,7,6,2,4] => [3,6,7,1,8,5,2,4] => 0001011
[5,4,2,8,6,3,7,1] => [7,4,5,6,3,8,2,1] => [8,6,3,5,4,2,7,1] => 0011111
[2,8,7,5,3,1,4,6] => [3,2,5,1,7,4,8,6] => [2,8,7,5,3,1,4,6] => 0101011
[2,5,6,3,1,4,8,7] => [3,2,6,1,5,4,8,7] => [2,5,6,3,1,4,8,7] => 0100101
[2,4,7,8,5,3,1,6] => [3,2,5,4,8,1,7,6] => [2,4,7,8,5,3,1,6] => 0101001
[6,5,3,2,4,1,8,7] => [4,3,5,2,6,1,8,7] => [6,5,3,2,4,1,8,7] => 0111101
[6,5,8,7,3,2,4,1] => [4,3,7,2,6,5,8,1] => [6,5,8,7,3,2,4,1] => 0110111
[6,3,2,4,1,7,8,5] => [4,3,6,2,8,1,7,5] => [7,8,3,2,4,1,6,5] => 0110101
[2,1,4,7,8,5,3,6] => [2,1,5,4,8,3,7,6] => [2,1,4,7,8,5,3,6] => 1001001
[8,3,6,4,7,5,1,2] => [5,1,7,8,6,4,2,3] => [6,4,8,1,2,7,5,3] => 0001111
[8,7,5,3,2,6,4,1] => [4,3,6,5,7,1,8,2] => [8,7,5,3,1,6,4,2] => 0111111
[4,7,8,5,3,1,6,2] => [3,5,8,4,6,1,7,2] => [4,6,1,7,8,5,3,2] => 0101101
[8,5,3,1,4,6,7,2] => [3,5,8,1,7,4,6,2] => [7,1,4,6,8,5,3,2] => 0101011
[8,5,3,6,4,7,1,2] => [7,1,5,8,6,4,3,2] => [6,4,8,5,3,7,1,2] => 0001111
[6,1,4,3,7,8,2,5] => [6,8,4,1,2,3,7,5] => [4,1,7,8,2,6,3,5] => 0010101
[6,3,4,7,8,1,2,5] => [8,1,6,3,2,4,7,5] => [6,3,7,8,1,2,4,5] => 0000101
[7,3,6,5,8,1,2,4] => [8,1,7,2,6,3,5,4] => [6,1,2,7,5,8,3,4] => 0000111
[6,1,2,7,5,8,3,4] => [6,1,8,3,7,2,5,4] => [7,3,8,5,6,1,2,4] => 0000111
[2,7,3,1,4,6,8,5] => [3,2,7,1,8,4,6,5] => [2,8,3,1,4,6,7,5] => 0100011
[5,8,1,6,2,4,7,3] => [8,6,7,2,5,1,4,3] => [5,7,2,6,1,4,8,3] => 0000111
[3,8,5,6,7,1,2,4] => [7,1,3,2,8,5,6,4] => [3,8,5,6,7,1,2,4] => 0000011
[6,1,2,4,8,5,7,3] => [6,1,7,2,8,4,5,3] => [8,1,2,4,7,5,6,3] => 0000111
[2,5,8,1,4,6,7,3] => [8,2,7,1,5,4,6,3] => [2,5,7,1,4,6,8,3] => 0000011
[7,1,8,5,2,4,6,3] => [7,5,8,3,6,4,1,2] => [6,3,4,8,5,1,7,2] => 0001111
[2,1,8,7,5,4,6,3] => [2,1,6,5,7,4,8,3] => [2,1,8,7,5,4,6,3] => 1001111
[8,7,3,4,2,6,5,1] => [5,4,6,1,7,2,8,3] => [8,7,1,4,2,6,5,3] => 0011111
[4,7,5,2,3,8,1,6] => [8,5,2,4,7,1,3,6] => [4,7,5,2,8,1,3,6] => 0001011
[6,4,7,5,2,8,3,1] => [3,8,5,7,6,1,4,2] => [6,1,7,5,4,8,3,2] => 0101111
[6,5,2,3,7,8,4,1] => [4,8,1,5,6,3,7,2] => [6,5,1,3,7,8,4,2] => 0011101
[2,8,5,4,1,7,6,3] => [4,2,5,8,6,7,1,3] => [2,7,6,1,8,5,4,3] => 0011111
[2,5,8,3,7,1,6,4] => [7,2,8,6,5,1,3,4] => [2,5,6,1,8,3,7,4] => 0000111
[7,8,2,4,1,6,5,3] => [4,8,5,2,6,1,7,3] => [6,5,2,7,8,1,4,3] => 0011101
[3,5,8,2,7,6,1,4] => [6,7,3,2,5,8,1,4] => [3,5,8,2,7,6,1,4] => 0000111
[2,1,6,8,7,5,3,4] => [2,1,5,3,7,6,8,4] => [2,1,6,8,7,5,3,4] => 1001011
[1,2,8,3,5,7,6,4] => [1,2,8,6,3,7,5,4] => [1,2,7,6,3,5,8,4] => 0000111
[1,6,3,8,7,5,2,4] => [1,5,7,3,6,2,8,4] => [1,6,3,8,7,5,2,4] => 0001111
[2,8,1,4,5,7,6,3] => [8,2,6,1,4,7,5,3] => [2,7,6,1,4,5,8,3] => 0000111
[7,8,2,1,4,6,5,3] => [2,8,5,1,6,4,7,3] => [6,5,2,1,4,7,8,3] => 1001101
[2,3,6,8,7,5,1,4] => [5,2,3,1,7,6,8,4] => [2,3,6,8,7,5,1,4] => 0001011
[3,1,6,8,7,2,5,4] => [3,7,1,5,2,6,8,4] => [5,1,3,2,6,8,7,4] => 0101011
[3,8,4,5,1,6,2,7] => [5,6,3,8,4,1,2,7] => [3,8,4,6,1,5,2,7] => 0001101
[8,1,4,7,6,3,2,5] => [8,3,6,1,2,7,4,5] => [7,6,3,1,8,2,4,5] => 0100111
[8,3,1,6,4,7,2,5] => [3,8,7,6,1,2,4,5] => [6,1,7,3,2,8,4,5] => 0100111
[8,4,6,3,1,2,5,7] => [3,1,6,8,2,4,5,7] => [8,3,1,2,6,4,5,7] => 0100101
[1,5,8,4,6,2,3,7] => [1,6,2,8,5,4,3,7] => [1,5,8,4,6,2,3,7] => 0000101
[2,1,6,5,3,8,4,7] => [2,1,5,6,8,4,3,7] => [2,1,8,4,6,5,3,7] => 1001101
[5,7,4,8,1,2,3,6] => [8,1,2,7,5,3,4,6] => [5,7,1,2,3,8,4,6] => 0000011
[1,5,4,7,2,3,8,6] => [1,7,2,5,4,8,3,6] => [1,5,4,8,2,3,7,6] => 0001011
[4,7,5,1,8,2,3,6] => [5,7,1,4,8,3,2,6] => [4,8,1,3,7,5,2,6] => 0001011
[8,2,1,5,3,7,4,6] => [2,8,5,7,1,4,3,6] => [7,2,1,5,4,8,3,6] => 1001011
[8,6,2,1,3,4,7,5] => [2,6,1,3,8,7,5,4] => [7,5,8,6,2,1,3,4] => 1000111
[6,1,7,2,5,8,3,4] => [6,7,8,3,2,1,5,4] => [8,3,7,2,5,6,1,4] => 0000111
[1,7,6,5,8,2,3,4] => [1,8,2,3,6,7,5,4] => [1,7,6,5,8,2,3,4] => 0000111
[1,6,8,5,7,2,3,4] => [1,7,2,3,8,6,5,4] => [1,6,8,5,7,2,3,4] => 0000011
[7,5,1,2,6,8,3,4] => [5,1,7,2,8,3,6,4] => [8,1,2,6,7,5,3,4] => 0001011
[1,6,3,8,7,2,4,5] => [1,7,6,2,4,3,8,5] => [1,6,2,4,8,7,3,5] => 0000111
[1,7,3,2,4,6,8,5] => [1,3,7,2,8,4,6,5] => [1,8,3,2,4,6,7,5] => 0100011
[3,1,2,7,8,4,6,5] => [3,1,2,8,6,4,7,5] => [3,1,2,6,4,7,8,5] => 0100101
[3,8,1,2,7,6,4,5] => [8,1,3,6,4,7,2,5] => [3,7,6,4,8,1,2,5] => 0000111
[7,1,4,8,2,6,3,5] => [7,8,6,1,3,2,4,5] => [6,1,8,3,7,2,4,5] => 0000111
[5,1,2,6,8,7,3,4] => [5,1,7,3,2,6,8,4] => [6,8,7,3,5,1,2,4] => 0001011
[1,8,6,2,5,7,3,4] => [1,6,8,2,3,7,5,4] => [1,7,2,5,8,6,3,4] => 0000111
[5,7,8,1,2,6,3,4] => [8,1,6,3,5,2,7,4] => [5,6,3,7,8,1,2,4] => 0000101
[8,1,5,7,6,2,3,4] => [8,6,2,3,1,7,5,4] => [7,6,2,3,5,8,1,4] => 0000111
[8,3,1,2,7,6,4,5] => [3,1,8,6,4,7,2,5] => [7,6,4,8,3,1,2,5] => 0100111
[1,5,8,7,6,2,3,4] => [1,6,2,3,5,7,8,4] => [1,5,8,7,6,2,3,4] => 0000111
[1,9,3,4,5,6,7,8,2] => [1,8,9,3,4,5,6,7,2] => [1,9,3,4,5,6,7,8,2] => 00000011
[1,7,4,8,2,5,3,6] => [1,8,5,7,2,3,4,6] => [1,7,2,5,3,8,4,6] => 0001011
[3,8,6,1,4,2,7,5] => [6,4,3,1,8,7,5,2] => [3,4,1,7,5,8,6,2] => 0010111
[7,3,2,8,1,5,4,6] => [8,3,7,5,1,4,2,6] => [5,3,1,7,4,8,2,6] => 0101011
[3,5,4,1,7,2,6,8] => [4,5,3,7,2,1,6,8] => [3,7,2,5,4,1,6,8] => 0011010
[6,4,7,3,2,5,1,8] => [5,3,7,6,2,4,1,8] => [6,3,2,7,4,5,1,8] => 0101110
[7,6,5,3,8,4,1,2] => [4,1,8,5,6,7,2,3] => [7,6,5,1,2,8,4,3] => 0011111
[3,7,4,1,6,8,5,2] => [4,7,3,5,8,2,6,1] => [3,8,5,2,6,7,4,1] => 0011011
[3,8,5,2,4,6,1,7] => [6,5,3,2,8,4,1,7] => [3,8,5,2,4,6,1,7] => 0001101
[1,5,4,8,6,3,7,2] => [1,7,6,5,4,8,3,2] => [1,5,4,8,6,3,7,2] => 0001111
[3,8,4,5,2,6,7,1] => [7,5,3,8,4,2,6,1] => [3,8,4,5,2,6,7,1] => 0001011
[6,8,1,2,7,4,3,5] => [8,1,4,7,3,6,2,5] => [6,7,4,3,8,1,2,5] => 0010011
[5,8,7,3,6,2,4,1] => [4,6,7,2,5,3,8,1] => [5,8,7,2,6,3,4,1] => 0010111
[7,5,2,3,4,8,6,1] => [6,5,1,3,8,7,4,2] => [7,5,1,3,4,8,6,2] => 0001111
[2,5,1,3,7,8,6,4] => [5,2,1,6,3,8,7,4] => [2,7,8,6,1,3,5,4] => 0001101
[4,3,7,2,1,8,6,5] => [2,7,4,3,6,8,1,5] => [4,3,8,6,2,1,7,5] => 1010111
[4,6,7,2,1,3,5,8] => [2,7,1,4,3,6,5,8] => [4,6,7,2,1,3,5,8] => 1000010
[4,6,2,3,1,5,7,8] => [3,6,2,4,1,5,7,8] => [4,6,2,3,1,5,7,8] => 0100100
[3,6,4,2,5,1,7,8] => [5,4,3,6,2,1,7,8] => [3,6,4,2,5,1,7,8] => 0011100
[3,6,2,7,5,4,1,8] => [4,5,3,7,6,2,1,8] => [3,6,2,7,5,4,1,8] => 0011110
[2,5,7,3,4,1,6,8] => [4,2,7,3,5,1,6,8] => [2,5,7,3,4,1,6,8] => 0010010
[2,3,5,8,6,4,7,1] => [7,2,3,6,5,8,4,1] => [2,3,5,8,6,4,7,1] => 0000111
[2,4,7,3,8,6,5,1] => [5,2,6,4,8,7,3,1] => [2,4,7,3,8,6,5,1] => 0001111
[3,1,5,4,7,8,6,2] => [3,6,1,5,4,8,7,2] => [5,4,7,8,6,1,3,2] => 0101101
[4,5,7,2,3,1,8,6] => [3,7,2,4,5,8,1,6] => [4,5,8,2,3,1,7,6] => 0100011
[3,7,8,1,4,6,5,2] => [8,5,3,1,6,4,7,2] => [3,6,5,1,4,7,8,2] => 0001101
[7,3,5,1,4,2,8,6] => [5,4,7,1,3,8,2,6] => [8,1,4,3,5,2,7,6] => 0011011
[5,4,7,1,3,2,8,6] => [7,3,1,5,4,8,2,6] => [3,1,5,4,8,2,7,6] => 0101011
[6,1,4,7,5,3,8,2] => [6,8,5,1,7,4,3,2] => [7,5,1,4,8,3,6,2] => 0001111
[8,7,1,4,3,5,6,2] => [7,6,4,1,3,5,8,2] => [4,1,6,3,5,8,7,2] => 0010111
[6,1,8,4,7,3,2,5] => [6,3,7,8,2,1,4,5] => [8,3,2,7,1,6,4,5] => 0100111
[4,7,3,6,1,2,8,5] => [6,1,7,4,8,3,2,5] => [4,8,3,7,1,2,6,5] => 0000111
[5,2,1,7,4,3,8,6] => [2,5,4,7,1,8,3,6] => [8,4,2,1,5,3,7,6] => 1011011
[7,6,8,2,5,3,4,1] => [4,8,5,3,2,7,6,1] => [5,3,7,6,8,2,4,1] => 0011011
[2,6,8,7,5,3,1,4] => [3,2,5,1,7,6,8,4] => [2,6,8,7,5,3,1,4] => 0101011
[6,4,1,7,5,2,8,3] => [4,6,5,7,8,2,1,3] => [8,2,7,5,1,6,4,3] => 0011111
[2,8,7,4,1,5,6,3] => [4,2,7,6,3,5,8,1] => [2,6,3,5,8,7,4,1] => 0010111
[8,6,2,1,5,7,4,3] => [2,6,4,8,3,7,5,1] => [7,4,3,5,8,6,2,1] => 1010111
[3,8,6,7,5,2,1,4] => [2,5,3,1,7,8,6,4] => [3,8,6,7,5,2,1,4] => 1001011
[6,1,3,7,5,8,2,4] => [6,8,1,2,7,3,5,4] => [7,1,8,5,6,2,3,4] => 0000111
[4,7,3,1,8,5,6,2] => [3,7,6,4,8,5,2,1] => [4,8,5,6,2,7,3,1] => 0100111
[2,6,7,5,3,4,8,1] => [8,2,5,3,7,6,4,1] => [2,6,7,5,3,4,8,1] => 0001011
[2,6,4,5,7,3,8,1] => [8,2,7,6,4,5,3,1] => [2,6,4,5,7,3,8,1] => 0000111
[6,1,4,5,8,3,7,2] => [6,7,8,1,4,5,3,2] => [8,1,4,5,7,3,6,2] => 0000111
[5,4,7,1,8,6,2,3] => [7,6,2,5,4,8,1,3] => [5,4,8,6,2,7,1,3] => 0001111
[6,4,1,8,7,2,5,3] => [4,6,7,5,3,2,8,1] => [5,3,8,7,2,6,4,1] => 0011111
[4,5,7,2,6,8,1,3] => [8,7,1,4,5,2,6,3] => [4,5,7,1,6,8,2,3] => 0000011
[8,1,2,3,4,5,6,7,10,9] => [8,1,2,3,4,5,6,7,10,9] => [8,1,2,3,4,5,6,7,10,9] => 000000101
[1,7,2,3,4,5,6,9,8] => [1,7,2,3,4,5,6,9,8] => [1,7,2,3,4,5,6,9,8] => 00000101
[3,2,8,5,1,7,4,6] => [5,3,2,8,7,1,4,6] => [3,2,7,1,8,5,4,6] => 0101011
[1,3,8,6,7,2,4,5] => [1,7,3,2,4,8,6,5] => [1,3,8,6,7,2,4,5] => 0000011
[2,8,3,6,7,1,4,5] => [7,2,8,1,4,3,6,5] => [2,8,1,4,6,7,3,5] => 0000011
[2,8,7,4,6,1,3,5] => [6,2,1,7,3,4,8,5] => [2,8,7,1,3,6,4,5] => 0000111
[4,2,7,8,6,1,3,5] => [6,4,1,2,3,8,7,5] => [4,1,7,8,6,2,3,5] => 0010101
[3,7,8,6,5,1,4,2] => [5,4,3,1,6,8,7,2] => [3,4,1,7,8,6,5,2] => 0011101
[7,3,8,6,5,2,4,1] => [4,5,6,2,8,7,3,1] => [7,2,8,6,5,3,4,1] => 0011111
[1,3,8,7,6,2,4,5] => [1,6,3,2,4,7,8,5] => [1,3,8,7,6,2,4,5] => 0000111
[4,6,5,8,1,3,7,2] => [8,7,1,4,6,5,3,2] => [4,6,5,7,1,3,8,2] => 0000111
[4,5,6,8,1,2,7,3] => [8,1,7,4,5,6,2,3] => [4,5,6,7,1,2,8,3] => 0000011
[4,2,6,8,7,1,3,5] => [7,4,1,2,3,6,8,5] => [4,1,6,8,7,2,3,5] => 0010011
[4,5,3,8,1,7,2,6] => [8,7,5,4,3,2,1,6] => [4,5,3,7,2,8,1,6] => 0001011
[3,5,8,4,1,7,2,6] => [4,8,3,7,5,1,2,6] => [3,5,7,1,8,4,2,6] => 0010011
[3,4,8,1,5,7,2,6] => [8,7,3,4,1,2,5,6] => [3,4,7,1,8,2,5,6] => 0000011
[5,3,8,4,2,7,1,6] => [7,4,8,5,2,1,3,6] => [5,2,8,4,1,7,3,6] => 0011011
[1,6,5,7,8,2,3,4] => [1,8,2,3,6,5,7,4] => [1,6,5,7,8,2,3,4] => 0000101
[5,6,4,8,2,3,7,1] => [7,8,2,6,5,4,3,1] => [5,6,4,8,2,3,7,1] => 0000111
[6,5,4,8,1,3,7,2] => [8,7,1,5,6,4,3,2] => [6,5,4,7,1,3,8,2] => 0001111
[7,2,6,5,8,1,3,4] => [8,7,1,3,6,2,5,4] => [6,1,3,7,5,8,2,4] => 0000111
[6,3,7,5,2,4,8,1] => [8,5,7,3,6,2,4,1] => [6,3,7,5,2,4,8,1] => 0001111
[2,5,7,4,6,1,3,8] => [6,2,1,7,5,4,3,8] => [2,5,7,4,6,1,3,8] => 0000110
[8,2,7,3,1,5,4,6] => [3,7,8,5,2,4,1,6] => [5,2,8,4,7,3,1,6] => 0101011
[8,2,1,7,4,5,3,6] => [2,8,5,7,4,3,1,6] => [7,4,5,3,8,2,1,6] => 1001011
[2,6,4,8,3,1,7,5] => [3,2,8,6,7,4,1,5] => [2,7,4,6,3,1,8,5] => 0100111
[8,1,3,7,5,6,4,2] => [8,4,1,6,7,5,3,2] => [7,5,6,4,1,3,8,2] => 0010111
[1,6,4,7,5,8,3,2] => [1,3,8,6,7,4,5,2] => [1,7,4,6,5,8,3,2] => 0100111
[1,2,5,3,8,6,7,4] => [1,2,5,7,3,8,6,4] => [1,2,8,6,7,3,5,4] => 0001011
[6,7,2,4,1,3,8,5] => [4,7,1,2,8,6,3,5] => [6,8,1,4,2,3,7,5] => 0010011
[8,7,1,4,6,2,5,3] => [7,6,5,1,2,4,8,3] => [5,1,6,2,4,8,7,3] => 0001111
[7,3,8,4,2,6,5,1] => [5,4,6,8,7,2,1,3] => [7,2,8,4,1,6,5,3] => 0011111
[3,4,1,6,8,2,7,5] => [4,8,3,1,7,6,2,5] => [3,6,7,1,4,2,8,5] => 0010011
[1,3,8,2,5,6,7,4] => [1,8,3,7,2,5,6,4] => [1,3,7,2,5,6,8,4] => 0000011
[3,7,8,2,5,6,4,1] => [4,6,3,8,1,5,7,2] => [3,7,8,1,5,6,4,2] => 0010101
[8,1,7,5,2,6,4,3] => [8,5,4,7,6,3,1,2] => [6,4,3,7,5,1,8,2] => 0011111
[1,8,6,7,2,5,4,3] => [1,7,4,5,2,8,6,3] => [1,5,4,2,8,6,7,3] => 0011011
[1,6,7,3,8,5,4,2] => [1,4,5,8,7,6,3,2] => [1,6,7,3,8,5,4,2] => 0011011
[8,7,2,4,6,1,5,3] => [6,7,5,2,1,4,8,3] => [5,2,8,7,1,4,6,3] => 0001111
[7,8,6,5,2,4,3,1] => [3,4,5,1,6,8,7,2] => [7,8,6,5,1,4,3,2] => 0111101
[3,6,7,5,2,8,4,1] => [4,8,3,5,7,6,1,2] => [3,6,7,5,1,8,4,2] => 0011011
[5,4,6,7,8,1,3,2] => [8,3,1,5,4,6,7,2] => [3,1,5,4,6,7,8,2] => 0101001
[5,3,7,6,8,4,1,2] => [4,1,8,5,2,7,6,3] => [5,1,2,7,6,8,4,3] => 0011011
[7,5,3,2,8,6,4,1] => [4,3,6,5,8,7,2,1] => [7,5,3,2,8,6,4,1] => 0111111
[5,4,8,6,7,2,3,1] => [3,7,2,5,4,8,6,1] => [5,4,8,6,7,2,3,1] => 0101011
[2,7,8,4,6,3,5,1] => [5,2,6,8,3,4,7,1] => [2,7,8,3,6,4,5,1] => 0001101
[5,4,8,6,3,1,2,7] => [3,1,6,5,4,8,2,7] => [5,4,8,6,3,1,2,7] => 0101101
[4,5,7,3,6,2,8,1] => [8,6,7,4,5,3,2,1] => [4,5,7,3,6,2,8,1] => 0000111
[4,5,6,3,8,2,7,1] => [7,8,6,4,5,3,2,1] => [4,5,6,3,8,2,7,1] => 0000111
[5,4,8,7,2,1,3,6] => [2,7,1,5,4,3,8,6] => [5,4,8,7,2,1,3,6] => 1001011
[2,5,4,7,8,1,3,6] => [8,2,1,5,4,3,7,6] => [2,5,4,7,8,1,3,6] => 0001001
[7,1,4,3,6,2,8,5] => [7,6,4,1,8,3,2,5] => [4,1,8,3,6,2,7,5] => 0010111
[5,3,6,4,8,2,7,1] => [7,8,5,6,3,4,2,1] => [6,3,5,4,8,2,7,1] => 0001111
[8,2,6,3,7,4,5,1] => [5,8,6,7,4,2,3,1] => [7,4,6,2,8,3,5,1] => 0001111
[8,2,4,7,3,5,6,1] => [6,8,7,2,3,5,4,1] => [7,2,5,8,3,4,6,1] => 0000111
[8,2,6,5,7,3,4,1] => [4,8,7,3,6,2,5,1] => [6,3,7,5,8,2,4,1] => 0010111
[8,3,4,5,7,2,6,1] => [6,7,8,3,4,2,5,1] => [8,3,4,7,2,5,6,1] => 0000111
[4,5,6,2,7,3,8,1] => [8,6,7,4,5,2,3,1] => [4,5,7,2,6,3,8,1] => 0000111
[5,3,1,7,6,2,8,4] => [3,5,6,7,2,8,4,1] => [8,2,7,6,4,5,3,1] => 0101111
[7,4,6,1,5,2,8,3] => [6,5,8,7,1,4,2,3] => [7,1,8,4,5,2,6,3] => 0001111
[5,4,6,2,8,3,7,1] => [7,6,8,5,4,2,3,1] => [5,4,8,2,6,3,7,1] => 0001111
[8,4,6,1,7,2,5,3] => [6,7,5,8,2,4,1,3] => [8,2,5,4,7,1,6,3] => 0001111
[4,5,6,3,7,1,8,2] => [7,8,6,4,5,3,1,2] => [4,5,6,3,8,1,7,2] => 0000111
[8,5,4,1,3,2,6,7] => [4,3,1,5,8,2,6,7] => [3,1,8,5,4,2,6,7] => 0111001
[3,8,4,1,5,2,6,7] => [4,8,3,5,2,1,6,7] => [3,5,2,8,4,1,6,7] => 0011001
[2,5,4,3,8,1,6,7] => [8,2,4,5,3,1,6,7] => [2,5,4,3,8,1,6,7] => 0011001
[5,3,4,2,7,1,6,8] => [7,4,5,3,2,1,6,8] => [5,3,4,2,7,1,6,8] => 0011010
[7,5,1,4,3,2,6,8] => [5,3,4,1,7,2,6,8] => [4,3,1,7,5,2,6,8] => 0111010
[4,2,5,1,3,8,7,6] => [5,4,1,2,3,7,8,6] => [4,1,5,2,3,8,7,6] => 0011011
[4,1,6,5,3,2,7,8] => [4,3,5,1,6,2,7,8] => [6,5,3,1,4,2,7,8] => 0111100
[4,2,1,8,6,3,7,5] => [2,4,6,1,8,7,5,3] => [7,5,8,6,2,1,4,3] => 1010111
[2,5,4,6,1,3,7,8] => [6,2,1,5,4,3,7,8] => [2,5,4,6,1,3,7,8] => 0001100
[2,5,6,4,1,3,7,8] => [4,2,1,6,5,3,7,8] => [2,5,6,4,1,3,7,8] => 0010100
[6,4,1,7,2,5,3,8] => [4,6,7,5,3,2,1,8] => [5,3,7,2,6,4,1,8] => 0011110
[7,1,5,6,3,2,4,8] => [7,3,6,2,1,5,4,8] => [6,3,2,5,7,1,4,8] => 0100110
[8,2,1,5,6,3,7,4] => [2,8,6,7,1,5,3,4] => [7,2,1,5,6,3,8,4] => 1000111
[6,4,1,5,3,2,8,7] => [4,3,6,5,2,1,8,7] => [5,3,2,6,4,1,8,7] => 0111101
[8,6,1,5,2,3,7,4] => [6,5,2,8,4,7,3,1] => [7,4,5,2,3,8,6,1] => 0001111
[2,1,8,6,3,7,5,4] => [2,1,6,5,8,7,4,3] => [2,1,7,5,4,8,6,3] => 1001111
[7,8,5,1,2,6,4,3] => [5,1,4,8,6,3,7,2] => [6,4,3,7,8,5,1,2] => 0011101
[6,8,5,7,2,4,3,1] => [3,4,7,1,8,6,5,2] => [6,8,5,7,1,4,3,2] => 0110011
[7,4,6,3,1,8,2,5] => [3,6,8,7,1,4,2,5] => [7,1,8,4,6,3,2,5] => 0100111
[7,4,1,6,8,3,2,5] => [4,3,7,8,1,2,6,5] => [8,3,1,6,7,4,2,5] => 0110011
[7,6,3,2,8,5,1,4] => [5,3,8,2,6,7,1,4] => [7,6,3,2,8,5,1,4] => 0101111
[7,5,1,8,4,6,2,3] => [5,7,1,6,8,3,2,4] => [8,1,3,6,2,7,5,4] => 0001111
[7,6,2,4,1,3,8,5] => [4,6,1,2,7,8,5,3] => [8,5,7,6,1,4,2,3] => 0010111
[5,6,3,8,7,4,1,2] => [4,1,7,6,5,2,8,3] => [5,6,1,2,8,7,4,3] => 0010111
[5,2,6,8,7,4,1,3] => [4,7,2,5,1,6,8,3] => [5,2,6,8,7,4,1,3] => 0011011
[4,3,8,5,7,2,6,1] => [6,7,4,3,8,2,5,1] => [4,3,8,2,7,5,6,1] => 0010111
[6,3,8,5,1,4,2,7] => [5,4,8,3,6,1,2,7] => [6,3,4,1,8,5,2,7] => 0011101
[6,3,8,5,4,1,2,7] => [4,1,5,8,6,3,2,7] => [6,3,8,5,4,1,2,7] => 0011101
[5,4,1,3,2,8,6,7] => [4,3,1,5,2,8,6,7] => [3,1,5,4,2,8,6,7] => 0111001
[5,1,4,3,2,8,6,7] => [5,3,4,1,2,8,6,7] => [4,3,1,5,2,8,6,7] => 0111001
[5,1,2,4,3,8,6,7] => [5,1,4,2,3,8,6,7] => [4,1,2,5,3,8,6,7] => 0011001
[4,2,7,3,8,5,1,6] => [5,4,8,2,7,3,1,6] => [7,2,4,3,8,5,1,6] => 0011011
[5,7,6,8,2,4,3,1] => [3,4,8,1,5,7,6,2] => [5,7,6,8,1,4,3,2] => 0110011
[4,3,7,2,8,5,6,1] => [6,7,4,3,8,5,2,1] => [4,3,8,5,7,2,6,1] => 0010111
[2,3,7,1,8,5,4,6] => [7,2,3,5,8,4,1,6] => [2,3,8,5,4,7,1,6] => 0001011
[5,3,1,2,4,8,6,7] => [3,1,5,2,4,8,6,7] => [5,3,1,2,4,8,6,7] => 0101001
[5,2,4,1,3,8,6,7] => [4,5,1,2,3,8,6,7] => [5,1,4,2,3,8,6,7] => 0011001
[4,3,1,6,8,2,5,7] => [3,4,8,2,1,6,5,7] => [6,8,2,4,3,1,5,7] => 0110001
[5,3,4,1,2,8,6,7] => [4,1,5,3,2,8,6,7] => [5,3,4,1,2,8,6,7] => 0011001
[5,2,3,4,1,8,6,7] => [4,5,2,3,1,8,6,7] => [5,2,3,4,1,8,6,7] => 0011001
[6,8,7,1,4,3,5,2] => [7,5,4,1,3,6,8,2] => [4,1,5,3,6,8,7,2] => 0011011
[7,3,1,4,5,8,6,2] => [3,7,6,2,4,8,5,1] => [8,6,2,4,5,7,3,1] => 0100111
[5,8,1,3,4,6,7,2] => [8,7,1,3,5,4,6,2] => [5,7,1,3,4,6,8,2] => 0000011
[6,1,8,4,2,5,3,7] => [6,4,8,5,3,1,2,7] => [5,3,8,4,1,6,2,7] => 0011101
[8,4,5,1,6,2,3,7] => [5,6,2,8,4,1,3,7] => [8,4,6,2,5,1,3,7] => 0001101
[3,1,7,8,2,5,4,6] => [3,8,1,5,2,4,7,6] => [5,1,3,2,7,8,4,6] => 0101001
[6,2,8,3,5,7,1,4] => [7,6,8,1,3,2,5,4] => [8,1,6,3,5,7,2,4] => 0000111
[7,2,6,8,4,3,1,5] => [3,4,8,7,1,2,6,5] => [7,1,6,8,4,3,2,5] => 0110011
[3,7,2,8,6,5,1,4] => [5,6,3,1,8,7,2,4] => [3,7,1,8,6,5,2,4] => 0001111
[2,7,5,8,1,6,4,3] => [8,2,4,6,7,1,5,3] => [2,7,4,1,6,5,8,3] => 0010111
[7,4,5,1,8,2,3,6] => [5,8,2,7,4,3,1,6] => [7,4,8,2,3,5,1,6] => 0001011
[4,8,1,6,7,3,2,5] => [8,3,7,4,2,1,6,5] => [4,7,3,2,6,8,1,5] => 0100011
[1,2,7,8,4,3,6,5] => [1,2,4,8,6,3,7,5] => [1,2,6,4,3,7,8,5] => 0010101
[4,8,1,3,5,6,2,7] => [8,6,1,4,3,5,2,7] => [4,6,1,3,5,8,2,7] => 0000101
[8,5,2,4,3,1,7,6] => [3,4,5,1,8,7,2,6] => [7,5,1,4,3,2,8,6] => 0111011
[4,6,5,3,1,8,2,7] => [3,5,6,4,8,1,2,7] => [4,8,1,6,5,3,2,7] => 0101101
[8,6,2,5,1,7,3,4] => [5,6,8,2,3,7,1,4] => [7,2,8,6,3,5,1,4] => 0001111
[3,7,6,1,8,4,5,2] => [6,5,3,7,1,8,4,2] => [3,8,1,5,4,7,6,2] => 0001111
[1,4,2,6,5,8,7,3] => [1,4,7,2,6,5,8,3] => [1,6,5,8,7,2,4,3] => 0010111
[1,3,2,6,4,8,7,5] => [1,3,2,6,7,4,8,5] => [1,3,2,8,7,4,6,5] => 0100111
[1,4,2,5,3,8,7,6] => [1,4,5,2,3,7,8,6] => [1,5,2,4,3,8,7,6] => 0011011
[1,5,3,6,4,8,7,2] => [1,7,5,6,3,4,8,2] => [1,6,3,5,4,8,7,2] => 0001111
[2,5,1,4,3,8,7,6] => [5,2,4,1,3,7,8,6] => [2,4,1,5,3,8,7,6] => 0011011
[1,7,2,5,4,8,6,3] => [1,7,6,5,2,8,4,3] => [1,5,2,8,6,4,7,3] => 0001111
[1,7,3,5,4,8,6,2] => [1,6,8,5,2,7,4,3] => [1,5,2,7,4,8,6,3] => 0001111
[1,8,2,6,3,7,5,4] => [1,8,6,5,7,2,3,4] => [1,7,5,2,6,3,8,4] => 0001111
[1,8,3,6,4,7,5,2] => [1,5,7,8,6,4,2,3] => [1,6,4,8,2,7,5,3] => 0001111
[1,7,2,6,3,8,5,4] => [1,7,6,5,8,2,3,4] => [1,8,5,2,6,3,7,4] => 0001111
[1,5,2,7,4,8,6,3] => [1,5,6,8,2,7,3,4] => [1,7,2,8,6,3,5,4] => 0001111
[1,4,2,8,5,7,6,3] => [1,4,6,2,7,8,3,5] => [1,8,2,4,3,7,6,5] => 0010111
[4,8,1,3,2,6,5,7] => [8,3,1,4,6,2,5,7] => [3,1,4,6,2,8,5,7] => 0100101
[1,5,2,8,4,7,6,3] => [1,5,6,7,2,8,3,4] => [1,8,2,7,6,3,5,4] => 0001111
[1,6,3,8,4,7,5,2] => [1,5,7,6,8,4,2,3] => [1,8,4,6,2,7,5,3] => 0001111
[2,8,3,7,1,5,4,6] => [7,2,8,5,1,4,3,6] => [2,5,1,8,4,7,3,6] => 0001011
[1,8,4,7,3,6,5,2] => [1,5,6,7,8,4,2,3] => [1,8,4,7,2,6,5,3] => 0001111
[1,7,4,8,3,6,5,2] => [1,5,6,8,7,4,2,3] => [1,7,4,8,2,6,5,3] => 0001111
[3,8,2,6,1,5,4,7] => [6,8,3,5,1,2,4,7] => [3,5,1,8,2,6,4,7] => 0001101
[2,6,3,8,1,5,4,7] => [8,2,6,5,1,3,4,7] => [2,5,1,6,3,8,4,7] => 0001101
[8,3,1,4,2,6,5,7] => [3,8,4,2,6,1,5,7] => [4,2,6,3,1,8,5,7] => 0110101
[8,3,5,1,2,6,4,7] => [5,1,8,6,3,2,4,7] => [6,3,8,1,2,5,4,7] => 0001101
[8,6,4,1,5,3,2,7] => [4,3,6,5,2,8,1,7] => [5,3,2,8,6,4,1,7] => 0111101
[8,6,5,4,1,3,2,7] => [4,3,1,5,6,8,2,7] => [3,1,8,6,5,4,2,7] => 0111101
[5,3,8,7,4,6,2,1] => [2,6,5,7,3,4,8,1] => [8,7,3,5,4,6,2,1] => 1001111
[4,8,5,3,1,2,7,6] => [3,1,5,4,8,7,2,6] => [4,7,5,3,1,2,8,6] => 0101011
[6,8,5,4,1,3,7,2] => [4,5,1,8,7,6,3,2] => [6,7,1,3,8,5,4,2] => 0011011
[2,5,8,7,4,6,3,1] => [3,2,6,7,5,4,8,1] => [2,5,8,7,4,6,3,1] => 0100111
[4,8,7,6,5,1,3,2] => [5,3,1,4,6,7,8,2] => [3,1,4,8,7,6,5,2] => 0101111
[2,8,7,1,3,6,4,5] => [7,2,1,6,4,3,8,5] => [2,6,4,8,7,1,3,5] => 0000111
[6,8,4,1,5,2,7,3] => [4,8,5,7,2,6,3,1] => [6,7,2,5,3,8,4,1] => 0011011
[5,8,4,6,1,2,7,3] => [6,1,7,8,5,4,2,3] => [5,8,4,7,1,2,6,3] => 0000111
[4,8,7,5,1,6,2,3] => [5,7,1,4,6,2,8,3] => [4,6,1,8,7,5,2,3] => 0001111
[4,5,2,1,8,6,7,3] => [2,5,7,4,1,8,6,3] => [4,8,6,7,2,1,5,3] => 1001011
[5,7,2,8,4,6,1,3] => [6,7,1,8,5,4,2,3] => [5,8,4,7,1,6,2,3] => 0000111
[6,7,3,2,4,8,5,1] => [5,3,8,1,7,6,4,2] => [6,7,3,1,4,8,5,2] => 0101011
[7,2,8,6,4,5,1,3] => [5,7,1,6,4,8,2,3] => [8,6,4,7,1,5,2,3] => 0001111
[5,2,7,8,4,1,3,6] => [4,8,2,5,1,3,7,6] => [5,2,7,8,4,1,3,6] => 0011001
[2,7,8,6,4,1,3,5] => [4,2,1,6,3,8,7,5] => [2,7,8,6,4,1,3,5] => 0010101
[7,6,3,5,2,8,4,1] => [4,8,5,6,1,7,3,2] => [7,6,1,5,3,8,4,2] => 0011111
[6,2,7,4,8,5,3,1] => [3,5,8,6,7,4,2,1] => [7,4,6,2,8,5,3,1] => 0101111
[8,6,5,1,7,2,4,3] => [5,6,4,2,8,7,1,3] => [4,2,7,1,8,6,5,3] => 0011111
[6,8,5,1,7,3,2,4] => [5,3,8,1,7,6,2,4] => [6,7,3,1,8,5,2,4] => 0101011
[1,6,8,3,7,4,2,5] => [1,4,7,8,3,6,2,5] => [1,6,8,3,7,4,2,5] => 0010011
[3,5,2,6,4,8,1,7] => [8,5,3,6,2,4,1,7] => [3,6,2,5,4,8,1,7] => 0001101
[6,3,8,2,4,1,7,5] => [4,8,6,2,7,3,1,5] => [7,2,6,3,4,1,8,5] => 0010111
[6,8,4,2,1,7,5,3] => [2,4,8,5,7,6,3,1] => [6,7,5,3,8,4,2,1] => 1011011
[6,5,3,1,4,8,2,7] => [3,5,6,1,8,4,2,7] => [8,1,4,6,5,3,2,7] => 0101101
[3,1,7,8,6,4,2,5] => [3,4,1,6,2,8,7,5] => [7,8,6,4,1,3,2,5] => 0110101
[3,8,1,7,6,2,5,4] => [8,6,3,5,2,7,1,4] => [3,5,2,7,6,1,8,4] => 0001111
[7,2,6,3,8,5,4,1] => [4,5,8,7,6,1,2,3] => [6,1,7,2,8,5,4,3] => 0011111
[7,3,8,6,4,1,5,2] => [4,6,5,8,1,7,2,3] => [7,1,5,2,8,6,4,3] => 0011111
[1,7,5,8,2,4,3,6] => [1,8,4,2,7,3,5,6] => [1,4,2,7,3,8,5,6] => 0010011
[1,5,6,3,8,2,4,7] => [1,8,6,2,5,3,4,7] => [1,5,6,2,8,3,4,7] => 0000101
[2,6,7,4,3,8,5,1] => [5,2,4,8,7,6,1,3] => [2,6,7,4,1,8,5,3] => 0011011
[1,5,8,7,2,4,6,3] => [1,7,6,2,5,4,8,3] => [1,5,6,2,4,8,7,3] => 0000111
[3,7,2,8,1,5,4,6] => [8,7,3,5,1,4,2,6] => [3,5,1,7,4,8,2,6] => 0001011
[7,2,1,5,8,4,3,6] => [2,7,4,8,1,3,5,6] => [8,4,2,1,7,3,5,6] => 1010011
[7,2,8,1,4,3,6,5] => [8,7,4,1,6,3,2,5] => [4,1,6,3,7,2,8,5] => 0010111
[1,7,4,8,3,2,6,5] => [1,3,8,7,6,2,4,5] => [1,6,3,2,7,4,8,5] => 0100111
[1,7,4,5,6,8,2,3] => [1,8,2,7,4,5,6,3] => [1,7,4,5,6,8,2,3] => 0000011
[1,3,4,5,6,7,9,8,2] => [1,8,3,4,5,6,7,9,2] => [1,3,4,5,6,7,9,8,2] => 00000011
[1,6,4,2,3,5,7,8] => [1,4,2,6,3,5,7,8] => [1,6,4,2,3,5,7,8] => 0010100
[1,8,7,2,3,4,5,6] => [1,7,2,3,4,5,8,6] => [1,8,7,2,3,4,5,6] => 0000011
[1,5,8,6,2,3,4,7] => [1,6,2,3,5,8,4,7] => [1,5,8,6,2,3,4,7] => 0000101
[1,3,2,7,6,4,5,8] => [1,3,2,6,4,7,5,8] => [1,3,2,7,6,4,5,8] => 0100110
[1,2,3,7,6,4,5,8] => [1,2,3,6,4,7,5,8] => [1,2,3,7,6,4,5,8] => 0000110
[1,5,4,2,3,7,6,8] => [1,4,2,5,3,7,6,8] => [1,5,4,2,3,7,6,8] => 0011010
[1,5,4,2,3,8,6,7] => [1,4,2,5,3,8,6,7] => [1,5,4,2,3,8,6,7] => 0011001
[1,3,2,8,6,4,5,7] => [1,3,2,6,4,8,5,7] => [1,3,2,8,6,4,5,7] => 0100101
[1,8,7,5,2,3,4,6] => [1,5,2,3,7,4,8,6] => [1,8,7,5,2,3,4,6] => 0001011
[2,1,5,8,6,3,7,4] => [2,1,6,8,5,7,4,3] => [2,1,5,7,4,8,6,3] => 1000111
[2,5,8,4,6,1,7,3] => [6,2,7,8,5,4,1,3] => [2,5,8,4,7,1,6,3] => 0000111
[5,3,2,8,6,1,7,4] => [6,3,5,8,2,7,4,1] => [7,3,2,5,4,8,6,1] => 0101111
[5,8,4,6,1,3,7,2] => [6,7,1,8,5,4,3,2] => [5,8,4,7,1,3,6,2] => 0000111
[2,6,5,4,8,1,7,3] => [8,2,7,5,6,4,1,3] => [2,6,5,4,7,1,8,3] => 0001111
[8,3,5,7,2,6,4,1] => [4,6,7,8,1,3,5,2] => [8,1,7,3,5,6,4,2] => 0010111
[2,4,6,8,5,3,7,1] => [7,2,5,4,8,6,3,1] => [2,4,6,8,5,3,7,1] => 0001011
[4,3,6,8,5,2,7,1] => [7,5,4,3,8,6,2,1] => [4,3,6,8,5,2,7,1] => 0011011
[8,5,4,7,2,6,3,1] => [3,6,7,5,8,1,4,2] => [8,5,1,7,4,6,3,2] => 0101111
[3,6,8,5,4,2,7,1] => [7,4,3,5,8,6,2,1] => [3,6,8,5,4,2,7,1] => 0011011
[3,6,4,1,8,2,7,5] => [4,6,3,8,7,2,1,5] => [3,7,2,8,4,1,6,5] => 0010111
[3,6,4,1,5,2,8,7] => [4,6,3,5,2,1,8,7] => [3,5,2,6,4,1,8,7] => 0011101
[4,8,6,5,1,3,7,2] => [5,6,1,4,8,7,3,2] => [4,7,1,3,8,6,5,2] => 0001111
[2,6,7,4,1,3,8,5] => [4,2,1,7,8,6,3,5] => [2,6,8,4,1,3,7,5] => 0010011
[4,1,6,3,5,7,8,2] => [4,8,6,1,3,5,7,2] => [6,1,5,7,8,3,4,2] => 0010101
[4,3,6,2,5,7,8,1] => [8,6,4,3,2,5,7,1] => [4,3,6,2,5,7,8,1] => 0010101
[6,4,7,3,1,8,5,2] => [3,7,5,8,6,1,2,4] => [6,1,8,5,3,2,7,4] => 0101111
[6,4,2,7,5,1,8,3] => [5,4,7,6,8,2,3,1] => [8,2,6,4,3,7,5,1] => 0011111
[7,5,4,6,3,1,8,2] => [3,6,8,5,7,4,2,1] => [7,5,4,8,2,6,3,1] => 0101111
[5,6,4,7,3,1,8,2] => [3,7,8,6,5,4,2,1] => [5,6,4,8,2,7,3,1] => 0100111
[5,6,4,2,7,1,8,3] => [7,4,6,8,5,3,1,2] => [5,8,3,6,4,1,7,2] => 0010111
[5,3,6,8,2,1,7,4] => [2,8,5,7,3,6,1,4] => [6,7,3,5,2,1,8,4] => 1001011
[4,2,7,5,3,1,8,6] => [3,5,4,1,7,8,2,6] => [4,1,8,5,3,2,7,6] => 0111011
[5,4,2,8,6,3,1,7] => [3,6,4,5,1,8,2,7] => [5,4,1,8,6,3,2,7] => 0111101
[4,7,6,3,8,2,1,5] => [2,8,6,4,1,7,3,5] => [4,7,6,2,1,8,3,5] => 1000111
[4,7,3,8,6,2,1,5] => [2,6,8,4,3,7,1,5] => [4,7,3,8,6,2,1,5] => 1000111
[7,5,4,8,2,1,6,3] => [2,8,6,5,7,1,4,3] => [7,5,2,1,6,4,8,3] => 1001111
[5,7,3,2,6,1,8,4] => [6,3,7,8,5,2,1,4] => [5,8,3,2,7,1,6,4] => 0100111
[2,7,5,3,1,8,6,4] => [3,2,5,7,6,8,4,1] => [2,8,6,4,7,5,3,1] => 0101111
[7,5,2,8,4,3,1,6] => [3,4,8,5,7,1,2,6] => [7,5,1,8,4,3,2,6] => 0111011
[7,3,2,4,1,8,6,5] => [4,3,7,2,6,8,1,5] => [8,6,3,2,4,1,7,5] => 0110111
[5,3,2,8,7,4,1,6] => [4,3,7,5,1,2,8,6] => [5,3,1,8,7,4,2,6] => 0111011
[8,4,3,2,7,5,1,6] => [5,3,4,7,8,2,1,6] => [8,4,3,2,7,5,1,6] => 0111011
[4,3,7,5,2,6,1,8] => [6,5,4,3,7,2,1,8] => [4,3,7,5,2,6,1,8] => 0011110
[3,6,4,8,2,1,7,5] => [2,8,3,6,7,4,1,5] => [3,7,4,6,2,1,8,5] => 1000111
[3,4,2,7,5,1,8,6] => [5,4,3,2,7,8,1,6] => [3,4,2,8,5,1,7,6] => 0011011
[4,3,5,2,8,6,1,7] => [6,5,4,3,2,8,1,7] => [4,3,5,2,8,6,1,7] => 0011101
[4,5,3,6,8,2,1,7] => [2,8,5,4,3,6,1,7] => [4,5,3,6,8,2,1,7] => 1001001
[1,2,3,4,5,9,7,8,6] => [1,2,3,4,5,8,9,7,6] => [1,2,3,4,5,9,7,8,6] => 00000011
[1,2,3,4,9,6,7,8,5] => [1,2,3,4,8,9,6,7,5] => [1,2,3,4,9,6,7,8,5] => 00000011
[1,2,3,9,5,6,7,8,4] => [1,2,3,8,9,5,6,7,4] => [1,2,3,9,5,6,7,8,4] => 00000011
[1,2,9,4,5,6,7,8,3] => [1,2,8,9,4,5,6,7,3] => [1,2,9,4,5,6,7,8,3] => 00000011
[1,2,8,6,4,5,7,3] => [1,2,7,6,4,8,5,3] => [1,2,8,6,4,5,7,3] => 0000111
[1,8,5,3,4,6,7,2] => [1,7,5,3,8,4,6,2] => [1,8,5,3,4,6,7,2] => 0001011
[7,8,4,1,6,3,5,2] => [4,8,5,6,1,2,7,3] => [6,1,5,2,7,8,4,3] => 0011101
[1,2,3,4,6,8,5,7,9] => [1,2,3,4,8,6,5,7,9] => [1,2,3,4,6,8,5,7,9] => 00000010
[3,2,6,4,1,8,5,7] => [4,3,2,6,8,1,5,7] => [3,2,8,4,1,6,5,7] => 0110101
[2,8,6,5,3,1,4,7] => [3,2,5,1,6,8,4,7] => [2,8,6,5,3,1,4,7] => 0101101
[5,4,8,6,2,3,1,7] => [3,6,2,5,4,8,1,7] => [5,4,8,6,2,3,1,7] => 0101101
[4,8,7,5,2,3,1,6] => [3,5,2,4,7,1,8,6] => [4,8,7,5,2,3,1,6] => 0101011
[5,2,4,7,6,8,3,1] => [3,8,5,1,4,7,6,2] => [5,1,4,7,6,8,3,2] => 0101011
[8,6,5,1,4,2,3,7] => [5,4,2,1,6,8,3,7] => [4,2,8,6,5,1,3,7] => 0011101
[4,1,2,8,6,5,3,7] => [4,1,5,2,6,8,3,7] => [8,6,5,1,2,4,3,7] => 0011101
[8,5,1,3,2,6,4,7] => [5,3,1,8,6,4,2,7] => [3,1,6,4,8,5,2,7] => 0101101
[4,6,1,8,5,2,3,7] => [6,5,2,4,8,1,3,7] => [4,8,5,2,6,1,3,7] => 0001101
[3,4,2,8,7,5,1,6] => [5,4,3,2,7,1,8,6] => [3,4,2,8,7,5,1,6] => 0011011
[3,7,1,2,8,5,4,6] => [7,1,3,5,8,4,2,6] => [3,8,5,4,7,1,2,6] => 0001011
[3,6,5,8,2,7,4,1] => [4,7,3,8,6,5,1,2] => [3,6,5,8,1,7,4,2] => 0010111
[1,7,6,4,8,3,5,2] => [1,5,8,6,3,7,4,2] => [1,7,6,3,8,4,5,2] => 0001111
[7,1,6,2,3,8,4,5] => [7,6,2,8,4,1,3,5] => [8,4,6,2,7,1,3,5] => 0000111
[6,4,7,1,3,2,8,5] => [7,3,1,6,8,4,2,5] => [3,1,8,4,6,2,7,5] => 0100111
[5,1,3,8,7,2,6,4] => [5,7,1,6,3,2,8,4] => [6,1,3,8,7,2,5,4] => 0001111
[8,7,1,6,2,5,3,4] => [7,6,5,3,2,1,8,4] => [5,3,6,2,8,7,1,4] => 0001111
[2,8,7,3,5,1,6,4] => [5,2,7,6,3,1,8,4] => [2,6,3,8,7,1,5,4] => 0001111
[8,7,5,2,3,6,1,4] => [6,5,2,1,7,3,8,4] => [8,7,5,2,6,1,3,4] => 0001111
[3,1,7,4,8,6,2,5] => [3,6,1,8,4,7,2,5] => [7,4,8,6,1,3,2,5] => 0100111
[7,1,5,2,4,8,3,6] => [7,5,8,2,1,3,4,6] => [8,2,5,1,7,3,4,6] => 0001011
[3,8,5,1,4,7,2,6] => [5,8,3,2,7,1,4,6] => [3,7,2,8,5,1,4,6] => 0001011
[8,7,1,6,3,2,4,5] => [7,3,6,2,4,1,8,5] => [6,3,2,4,8,7,1,5] => 0100111
[7,3,2,5,8,4,1,6] => [4,3,8,7,1,2,5,6] => [7,3,1,8,4,2,5,6] => 0110011
[4,7,2,3,8,1,6,5] => [8,7,2,4,6,1,3,5] => [4,6,2,7,1,3,8,5] => 0000111
[8,2,3,1,6,7,5,4] => [3,8,2,5,7,1,6,4] => [7,5,2,3,1,6,8,4] => 0101011
[7,5,8,1,6,3,2,4] => [8,3,6,2,7,1,5,4] => [7,3,2,6,5,8,1,4] => 0100111
[3,7,2,5,6,4,8,1] => [8,7,3,6,2,5,4,1] => [3,6,2,5,7,4,8,1] => 0000111
[6,7,2,4,1,5,8,3] => [4,7,8,2,1,6,5,3] => [6,8,2,5,7,1,4,3] => 0010011
[4,2,7,5,1,6,8,3] => [5,4,7,2,8,3,6,1] => [8,2,4,3,6,7,5,1] => 0011011
[5,8,1,6,2,3,7,4] => [8,6,2,7,5,1,3,4] => [5,7,2,6,1,3,8,4] => 0000111
[5,1,2,8,4,7,6,3] => [5,1,6,7,2,8,3,4] => [8,1,2,7,6,3,5,4] => 0001111
[7,1,4,8,5,6,2,3] => [7,6,2,1,8,5,4,3] => [8,5,6,2,4,7,1,3] => 0000111
[8,5,6,1,2,4,7,3] => [6,1,7,2,8,5,4,3] => [8,5,7,1,2,4,6,3] => 0000111
[5,2,6,8,4,7,1,3] => [7,5,1,8,2,6,4,3] => [6,8,1,5,4,7,2,3] => 0001011
[3,6,5,8,2,7,1,4] => [7,8,3,1,6,5,2,4] => [3,6,5,8,1,7,2,4] => 0000111
[7,1,6,3,8,2,5,4] => [7,8,6,5,2,1,3,4] => [5,2,6,1,8,3,7,4] => 0001111
[8,1,5,6,4,3,7,2] => [8,7,4,6,1,5,3,2] => [6,4,1,5,7,3,8,2] => 0010111
[7,3,8,1,4,6,5,2] => [8,5,6,1,7,4,2,3] => [7,1,4,6,5,2,8,3] => 0001111
[3,9,1,2,4,5,6,7,8] => [9,1,3,2,4,5,6,7,8] => [3,9,1,2,4,5,6,7,8] => 00000001
[6,10,1,2,3,4,5,7,8,9] => [10,1,2,3,4,6,5,7,8,9] => [6,10,1,2,3,4,5,7,8,9] => 000000001
[1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => 00000010
[1,4,5,8,6,3,2,7] => [1,3,6,4,5,8,2,7] => [1,4,5,8,6,3,2,7] => 0100101
[7,1,2,5,6,3,4,8] => [7,1,6,3,2,5,4,8] => [6,3,5,7,1,2,4,8] => 0000110
[1,8,6,3,5,7,2,4] => [1,7,6,2,3,8,5,4] => [1,8,6,2,5,7,3,4] => 0000111
[5,2,8,3,6,1,4,7] => [6,5,8,1,2,3,4,7] => [8,1,5,2,6,3,4,7] => 0001101
[5,2,6,3,1,7,8,4] => [3,6,5,8,1,2,7,4] => [7,8,1,5,3,2,6,4] => 0101101
[7,2,5,6,3,1,8,4] => [3,6,7,8,1,5,2,4] => [8,1,5,7,3,2,6,4] => 0100111
[4,8,6,5,1,7,2,3] => [5,6,2,4,8,7,1,3] => [4,7,2,8,6,5,1,3] => 0001111
[4,3,5,1,6,7,8,2] => [5,8,4,3,1,6,7,2] => [4,3,6,7,8,1,5,2] => 0011001
[5,1,4,3,6,7,8,2] => [5,8,4,1,3,6,7,2] => [4,1,6,7,8,3,5,2] => 0011001
[3,6,7,5,1,2,8,4] => [5,1,3,7,8,6,4,2] => [3,6,8,4,7,5,1,2] => 0001011
[5,7,6,8,1,2,4,3] => [8,1,4,2,5,7,6,3] => [4,1,2,5,7,6,8,3] => 0010011
[3,1,5,8,7,6,4,2] => [3,4,1,6,5,7,8,2] => [5,8,7,6,4,1,3,2] => 0110111
[3,4,6,1,5,2,8,7] => [6,5,3,4,1,2,8,7] => [3,4,5,1,6,2,8,7] => 0001101
[5,3,2,1,8,6,4,7] => [2,3,5,6,1,8,4,7] => [8,6,3,2,1,5,4,7] => 1101101
[7,5,1,4,2,3,8,6] => [5,4,2,1,7,8,3,6] => [4,2,8,5,1,3,7,6] => 0011011
[9,8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,9,1] => [9,8,7,5,6,4,3,2,1] => 11101111
[11,10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,11,1] => [11,10,9,8,7,6,5,4,3,2,1] => 1111111111
[1,8,7,6,5,4,3,2,9] => [1,3,4,5,6,7,8,2,9] => [1,8,7,6,5,4,3,2,9] => 01111110
[1,9,8,7,6,5,4,3,2,10] => [1,3,4,5,6,7,8,9,2,10] => [1,9,8,7,6,5,4,3,2,10] => 011111110
[2,1,8,7,6,5,4,3,9] => [2,1,4,5,6,7,8,3,9] => [2,1,8,7,6,5,4,3,9] => 10111110
[7,5,1,3,6,8,2,4] => [5,7,2,1,8,3,6,4] => [8,2,6,7,5,1,3,4] => 0001011
[6,5,3,1,7,8,2,4] => [3,5,6,2,8,1,7,4] => [7,8,2,6,5,3,1,4] => 0101101
[6,4,3,7,8,2,1,5] => [2,8,4,6,1,3,7,5] => [6,4,2,1,7,8,3,5] => 1010101
[6,5,8,3,7,2,1,4] => [2,7,8,1,6,5,3,4] => [6,5,8,2,1,7,3,4] => 1000111
[6,5,3,7,2,1,8,4] => [2,7,5,6,8,4,1,3] => [8,4,6,5,2,1,7,3] => 1001111
[6,4,8,3,2,7,5,1] => [5,3,7,8,6,1,4,2] => [6,3,1,8,4,7,5,2] => 0101111
[1,8,4,3,2,6,7,5] => [1,3,4,8,7,2,6,5] => [1,7,4,3,2,6,8,5] => 0110011
[6,5,3,1,2,8,7,4] => [3,1,5,6,7,4,8,2] => [8,7,4,6,5,3,1,2] => 0101111
[7,5,8,1,3,2,6,4] => [8,3,1,6,7,2,5,4] => [3,1,7,2,6,5,8,4] => 0100111
[1,8,6,7,3,2,5,4] => [1,3,7,5,2,8,6,4] => [1,5,3,2,8,6,7,4] => 0101011
[1,8,6,7,3,2,4,5] => [1,3,7,2,4,8,6,5] => [1,8,6,7,3,2,4,5] => 0100011
[7,8,6,1,3,2,4,5] => [6,3,1,2,4,8,7,5] => [3,1,7,8,6,2,4,5] => 0100101
[1,8,4,3,2,7,5,6] => [1,3,4,8,7,5,2,6] => [1,7,5,8,4,3,2,6] => 0110011
[5,4,3,8,2,1,6,7] => [2,8,4,5,3,1,6,7] => [5,4,3,8,2,1,6,7] => 1011001
[6,4,8,3,2,5,1,7] => [5,3,8,6,2,4,1,7] => [6,3,2,8,4,5,1,7] => 0101101
[1,8,4,3,2,5,7,6] => [1,3,4,8,2,7,5,6] => [1,7,4,3,2,5,8,6] => 0110011
[6,4,8,3,2,5,7,1] => [7,3,8,6,2,4,5,1] => [6,3,2,8,4,5,7,1] => 0100111
[5,2,3,6,1,4,8,7] => [6,5,2,1,3,4,8,7] => [5,2,6,1,3,4,8,7] => 0001101
[8,6,3,2,5,4,7,1] => [7,3,6,5,2,8,4,1] => [5,3,2,8,6,4,7,1] => 0101111
[7,2,3,4,5,8,1,6] => [8,7,2,3,4,1,5,6] => [7,2,3,4,8,1,5,6] => 0000011
[7,2,8,1,5,3,4,6] => [8,7,5,3,1,4,2,6] => [5,3,7,1,4,8,2,6] => 0001011
[3,8,6,4,7,2,5,1] => [5,7,3,6,2,8,4,1] => [3,8,6,2,7,4,5,1] => 0001111
[6,3,4,7,8,2,1,5] => [2,8,6,3,1,4,7,5] => [6,3,7,8,2,1,4,5] => 1000101
[3,7,8,5,2,6,4,1] => [4,6,3,5,8,1,7,2] => [3,7,8,5,1,6,4,2] => 0011101
[3,8,6,2,7,4,5,1] => [5,6,3,8,2,7,4,1] => [3,7,2,8,6,4,5,1] => 0001111
[8,5,4,7,1,3,6,2] => [7,6,1,5,8,3,4,2] => [8,5,1,3,6,4,7,2] => 0001111
[7,3,6,2,8,1,5,4] => [8,6,7,5,1,3,2,4] => [5,1,7,3,6,2,8,4] => 0001111
[8,4,2,3,6,7,1,5] => [7,4,2,8,1,3,6,5] => [8,4,2,6,7,1,3,5] => 0010011
[4,5,8,3,7,2,1,6] => [2,7,8,4,5,1,3,6] => [4,5,8,2,1,7,3,6] => 1000011
[3,7,2,8,4,5,1,6] => [5,7,3,8,4,1,2,6] => [3,8,4,7,1,5,2,6] => 0001011
[3,5,1,8,4,6,2,7] => [5,6,3,8,1,4,2,7] => [3,8,1,6,4,5,2,7] => 0001101
[4,1,8,3,2,6,7,5] => [4,3,8,1,7,2,6,5] => [7,3,1,4,2,6,8,5] => 0110011
[4,2,7,5,8,1,3,6] => [8,4,1,2,7,3,5,6] => [4,1,7,2,3,8,5,6] => 0010011
[4,6,1,3,8,2,5,7] => [6,8,1,4,2,3,5,7] => [4,8,1,6,2,3,5,7] => 0000101
[4,3,6,2,1,8,7,5] => [2,6,4,3,7,1,8,5] => [4,3,8,7,2,1,6,5] => 1010111
[7,5,4,8,6,3,1,2] => [3,1,6,5,8,7,2,4] => [7,5,3,1,2,8,6,4] => 0101111
[6,3,1,8,4,7,2,5] => [3,6,7,8,1,2,4,5] => [8,1,7,3,2,6,4,5] => 0100111
[7,1,4,8,6,3,2,5] => [7,3,6,1,2,8,4,5] => [8,6,3,1,7,2,4,5] => 0100111
[5,3,7,4,8,2,1,6] => [2,8,5,7,3,1,4,6] => [7,3,5,2,1,8,4,6] => 1001011
[7,3,8,4,1,6,2,5] => [4,8,6,7,3,2,1,5] => [7,3,6,2,8,4,1,5] => 0010111
[8,3,1,2,5,7,4,6] => [3,1,8,7,2,4,5,6] => [7,3,1,2,8,4,5,6] => 0100011
[5,1,3,4,7,8,2,6] => [5,8,1,3,4,2,7,6] => [7,8,1,3,4,5,2,6] => 0001001
[5,4,1,3,8,2,7,6] => [4,5,2,8,3,7,1,6] => [7,2,3,5,4,1,8,6] => 0011011
[5,8,1,2,3,6,4,7] => [8,1,2,6,5,3,4,7] => [5,6,1,2,3,8,4,7] => 0000101
[5,6,8,2,3,4,1,7] => [4,8,2,3,5,6,1,7] => [5,6,8,2,3,4,1,7] => 0010001
[3,7,4,5,8,1,2,6] => [8,1,3,7,4,2,5,6] => [3,7,4,8,1,2,5,6] => 0000011
[5,8,2,1,6,3,4,7] => [2,8,6,3,5,1,4,7] => [5,6,3,8,2,1,4,7] => 1000101
[2,4,7,8,5,3,6,1] => [6,2,5,4,8,3,7,1] => [2,4,7,8,5,3,6,1] => 0001101
[5,3,1,4,7,2,8,6] => [3,5,7,2,4,8,1,6] => [8,2,4,5,3,1,7,6] => 0101011
[2,4,7,5,8,3,6,1] => [6,2,8,4,7,3,5,1] => [2,4,7,3,8,5,6,1] => 0000111
[4,8,5,3,7,1,2,6] => [7,1,5,4,8,2,3,6] => [4,8,5,1,2,7,3,6] => 0001011
[4,2,8,5,1,3,6,7] => [5,4,1,2,8,3,6,7] => [4,1,8,5,2,3,6,7] => 0011001
[3,4,5,7,2,8,1,6] => [8,7,3,4,5,1,2,6] => [3,4,5,7,1,8,2,6] => 0000011
[1,8,5,4,2,3,6,7] => [1,4,2,5,8,3,6,7] => [1,8,5,4,2,3,6,7] => 0011001
[1,5,2,7,4,8,3,6] => [1,5,8,7,2,3,4,6] => [1,7,2,8,3,5,4,6] => 0001011
[1,4,2,7,5,8,3,6] => [1,4,8,2,7,3,5,6] => [1,7,2,4,3,8,5,6] => 0010011
[1,8,2,3,6,7,5,4] => [1,8,2,5,7,3,6,4] => [1,7,5,2,3,6,8,4] => 0001011
[1,3,6,8,2,7,5,4] => [1,8,3,5,7,6,2,4] => [1,3,6,7,5,2,8,4] => 0001011
[1,6,5,4,3,8,2,7] => [1,8,4,5,6,3,2,7] => [1,6,5,4,3,8,2,7] => 0011101
[1,8,3,6,2,4,5,7] => [1,6,8,2,4,3,5,7] => [1,8,2,4,6,3,5,7] => 0000101
[1,4,5,8,3,6,2,7] => [1,6,8,4,5,3,2,7] => [1,4,5,8,3,6,2,7] => 0000101
[1,2,7,8,4,5,3,6] => [1,2,5,8,4,3,7,6] => [1,2,7,8,4,5,3,6] => 0001001
[7,2,8,4,3,6,5,1] => [5,6,4,7,8,1,3,2] => [8,4,1,7,3,6,5,2] => 0011111
[7,2,8,5,6,3,4,1] => [4,7,6,3,8,5,2,1] => [8,5,6,3,7,2,4,1] => 0010111
[6,2,8,4,3,7,1,5] => [7,6,4,8,1,2,3,5] => [8,4,1,6,2,7,3,5] => 0010111
[3,6,2,7,1,5,4,8] => [7,6,3,5,1,2,4,8] => [3,5,1,6,2,7,4,8] => 0001110
[1,2,5,4,8,3,7,6] => [1,2,8,5,4,7,3,6] => [1,2,5,4,7,3,8,6] => 0001011
[1,4,3,6,8,7,2,5] => [1,7,4,3,2,6,8,5] => [1,4,3,6,8,7,2,5] => 0010011
[1,5,3,7,6,8,2,4] => [1,8,5,2,3,7,6,4] => [1,5,2,7,6,8,3,4] => 0001011
[3,2,5,7,6,8,1,4] => [8,3,2,1,5,7,6,4] => [3,2,5,7,6,8,1,4] => 0100011
[6,3,2,7,4,8,5,1] => [5,3,8,6,7,4,1,2] => [7,4,6,3,1,8,5,2] => 0101111
[4,1,8,7,5,2,6,3] => [4,5,7,1,6,3,8,2] => [6,1,8,7,5,3,4,2] => 0011111
[3,1,8,6,4,7,2,5] => [3,7,1,6,2,8,4,5] => [8,6,1,3,2,7,4,5] => 0100111
[5,3,2,8,7,6,4,1] => [4,3,6,5,1,7,8,2] => [5,3,1,8,7,6,4,2] => 0111111
[3,8,1,7,6,5,2,4] => [8,5,3,2,6,7,1,4] => [3,7,6,5,2,8,1,4] => 0001111
[4,8,1,5,3,6,2,7] => [8,6,5,4,1,3,2,7] => [4,5,1,6,3,8,2,7] => 0001101
[5,4,2,6,7,3,1,8] => [3,7,4,5,1,6,2,8] => [5,4,1,6,7,3,2,8] => 0111010
[5,4,2,7,6,3,1,8] => [3,6,4,5,1,7,2,8] => [5,4,1,7,6,3,2,8] => 0111110
[4,3,8,7,2,6,5,1] => [5,6,4,3,7,1,8,2] => [4,3,8,7,1,6,5,2] => 0011111
[2,6,5,8,1,4,7,3] => [8,2,7,1,6,5,4,3] => [2,6,5,7,1,4,8,3] => 0000111
[8,4,6,2,1,7,5,3] => [2,6,5,7,8,3,1,4] => [8,3,7,5,2,1,6,4] => 1001111
[7,8,5,2,1,6,4,3] => [2,5,4,8,6,3,7,1] => [6,4,3,7,8,5,2,1] => 1011101
[7,5,4,8,3,2,6,1] => [6,3,8,5,7,2,4,1] => [7,5,3,2,8,4,6,1] => 0101111
[7,8,4,3,1,6,2,5] => [3,4,8,6,2,1,7,5] => [6,2,7,8,4,3,1,5] => 0110101
[8,6,4,7,3,2,1,5] => [2,3,7,6,1,8,4,5] => [8,6,3,2,1,7,4,5] => 1100111
[3,8,5,6,2,7,1,4] => [7,6,3,1,8,5,2,4] => [3,8,5,6,1,7,2,4] => 0000111
[2,4,5,8,6,7,1,3] => [7,2,1,4,5,8,6,3] => [2,4,5,8,6,7,1,3] => 0000011
[4,1,5,8,6,7,2,3] => [4,7,2,1,5,8,6,3] => [5,8,6,7,2,4,1,3] => 0010011
[4,3,7,5,6,2,8,1] => [8,6,4,3,7,5,2,1] => [4,3,7,5,6,2,8,1] => 0010111
[4,5,1,8,6,7,3,2] => [5,3,7,4,1,8,6,2] => [4,8,6,7,3,1,5,2] => 0101011
[2,1,5,8,6,7,4,3] => [2,1,4,7,5,8,6,3] => [2,1,5,8,6,7,4,3] => 1010011
[3,4,5,8,7,1,2,6] => [7,1,3,4,5,2,8,6] => [3,4,5,8,7,1,2,6] => 0000011
[5,3,8,6,4,7,2,1] => [2,7,5,6,3,8,4,1] => [8,6,3,5,4,7,2,1] => 1001111
[3,8,4,6,1,7,2,5] => [6,7,3,8,2,4,1,5] => [3,8,2,7,4,6,1,5] => 0000111
[3,8,5,6,4,7,2,1] => [2,7,3,6,8,5,4,1] => [3,8,5,6,4,7,2,1] => 1000111
[3,8,4,5,6,7,2,1] => [2,7,3,8,4,5,6,1] => [3,8,4,5,6,7,2,1] => 1000011
[3,8,6,5,1,7,2,4] => [5,6,3,2,8,7,1,4] => [3,7,2,8,6,5,1,4] => 0001111
[5,1,4,6,7,2,8,3] => [5,7,8,1,4,6,2,3] => [6,8,1,4,7,2,5,3] => 0001011
[6,5,4,7,1,3,8,2] => [7,8,1,5,6,4,3,2] => [6,5,4,8,1,3,7,2] => 0001111
[2,1,6,5,3,7,8,4] => [2,1,5,6,8,4,7,3] => [2,1,7,8,4,6,5,3] => 1001101
[6,1,4,7,2,3,8,5] => [6,7,2,1,8,4,3,5] => [8,2,4,7,1,3,6,5] => 0000111
[2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => 10000001
[1,2,3,4,5,6,7,8,10,11,9] => [1,2,3,4,5,6,7,8,11,10,9] => [1,2,3,4,5,6,7,8,10,11,9] => 0000000001
[1,3,2,4,5,6,8,9,7] => [1,3,2,4,5,6,9,8,7] => [1,3,2,4,5,6,8,9,7] => 01000001
[1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => 01000001
[2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => 100000001
[1,6,2,5,4,8,3,7] => [1,6,8,5,2,4,3,7] => [1,5,2,8,4,6,3,7] => 0001101
[6,2,3,5,8,1,4,7] => [8,6,2,1,3,5,4,7] => [6,2,5,8,1,3,4,7] => 0000101
[6,7,2,1,3,8,4,5] => [2,7,1,8,4,6,3,5] => [6,8,4,7,2,1,3,5] => 1000011
[4,1,7,5,8,3,6,2] => [4,6,8,1,7,3,5,2] => [7,1,8,5,6,3,4,2] => 0010111
[6,7,1,3,8,4,5,2] => [7,5,1,8,4,6,3,2] => [6,8,4,5,1,3,7,2] => 0001011
[1,6,7,4,3,8,5,2] => [1,5,4,8,7,6,2,3] => [1,6,7,4,2,8,5,3] => 0011011
[2,1,6,7,4,3,8,5] => [2,1,4,7,8,6,3,5] => [2,1,6,8,4,3,7,5] => 1010011
[6,7,3,2,1,8,4,5] => [2,3,7,8,4,6,1,5] => [6,8,4,7,3,2,1,5] => 1100011
[2,5,7,3,1,4,8,6] => [3,2,7,1,5,8,4,6] => [2,5,8,3,1,4,7,6] => 0100011
[6,7,3,2,8,4,5,1] => [5,3,7,8,4,6,2,1] => [6,8,4,7,3,2,5,1] => 0101011
[1,2,6,7,4,3,8,5] => [1,2,4,7,8,6,3,5] => [1,2,6,8,4,3,7,5] => 0010011
[2,7,5,8,1,6,3,4] => [8,2,6,3,7,1,5,4] => [2,7,3,6,5,8,1,4] => 0000111
[6,7,1,8,4,5,3,2] => [7,3,5,8,4,6,1,2] => [6,8,4,5,3,1,7,2] => 0101011
[8,2,5,7,1,4,6,3] => [7,8,6,1,2,4,5,3] => [6,1,8,2,4,5,7,3] => 0000111
[8,2,4,7,1,5,6,3] => [7,8,6,2,1,5,4,3] => [6,2,5,8,1,4,7,3] => 0000111
[8,2,3,4,7,1,5,6] => [7,8,2,3,1,5,4,6] => [8,2,3,5,7,1,4,6] => 0000011
[8,7,4,6,5,2,3,1] => [3,5,2,6,7,1,8,4] => [8,7,2,3,1,6,5,4] => 0101111
[8,4,6,7,5,1,2,3] => [5,1,2,7,8,3,6,4] => [8,1,2,3,6,7,5,4] => 0001011
[8,7,3,6,2,1,5,4] => [2,6,7,5,1,3,8,4] => [5,2,1,8,7,3,6,4] => 1001111
[8,7,4,6,5,2,1,3] => [2,5,1,6,7,3,8,4] => [8,7,2,1,3,6,5,4] => 1001111
[8,6,5,2,7,4,3,1] => [3,4,7,5,6,8,2,1] => [8,6,5,2,7,4,3,1] => 0111111
[8,4,2,7,5,1,6,3] => [5,4,7,8,6,3,2,1] => [6,3,8,4,2,7,5,1] => 0011111
[8,3,4,2,7,5,6,1] => [6,4,8,3,7,5,2,1] => [7,5,8,3,4,2,6,1] => 0010111
[8,4,7,6,5,1,2,3] => [5,1,2,6,7,8,4,3] => [8,4,7,6,5,1,2,3] => 0001111
[8,3,5,2,7,4,6,1] => [6,5,8,7,3,4,2,1] => [7,3,8,4,5,2,6,1] => 0001111
[8,5,2,6,7,4,1,3] => [4,7,2,5,8,1,6,3] => [8,5,2,6,7,4,1,3] => 0011011
[8,6,2,5,7,3,1,4] => [3,7,6,2,1,8,5,4] => [8,6,2,5,7,3,1,4] => 0100111
[8,5,3,2,7,6,4,1] => [4,3,6,5,7,8,2,1] => [8,5,3,2,7,6,4,1] => 0111111
[2,7,4,6,1,5,8,3] => [6,2,8,7,1,4,5,3] => [2,7,1,8,4,5,6,3] => 0000111
[2,4,3,8,5,1,6,7] => [5,2,4,3,8,1,6,7] => [2,4,3,8,5,1,6,7] => 0011001
[8,7,3,1,5,4,6,2] => [3,7,6,5,2,4,8,1] => [5,2,6,4,8,7,3,1] => 0101111
[5,2,6,7,3,8,1,4] => [8,5,7,1,2,6,3,4] => [6,7,1,5,2,8,3,4] => 0001011
[5,4,7,6,3,1,8,2] => [3,6,7,5,4,8,1,2] => [5,4,8,1,7,6,3,2] => 0101111
[1,5,6,7,3,8,2,4] => [1,8,7,2,5,6,3,4] => [1,5,6,7,2,8,3,4] => 0000011
[1,6,5,4,8,3,2,7] => [1,3,8,5,6,4,2,7] => [1,6,5,4,8,3,2,7] => 0101101
[8,2,4,3,1,5,6,7] => [3,4,8,1,2,5,6,7] => [8,1,4,3,2,5,6,7] => 0110001
[1,7,3,5,8,4,6,2] => [1,6,7,8,3,4,5,2] => [1,8,3,7,4,5,6,2] => 0000111
[7,2,3,5,8,4,6,1] => [6,7,2,8,3,4,5,1] => [8,2,3,7,4,5,6,1] => 0000111
[3,8,7,2,4,6,5,1] => [5,6,3,1,7,4,8,2] => [3,8,7,1,4,6,5,2] => 0001111
[2,7,3,6,4,8,5,1] => [5,2,8,7,6,4,1,3] => [2,6,4,7,1,8,5,3] => 0001111
[1,3,7,6,4,8,5,2] => [1,5,3,8,6,7,2,4] => [1,3,7,6,2,8,5,4] => 0001111
[1,2,7,5,8,4,6,3] => [1,2,6,8,7,4,5,3] => [1,2,7,4,8,5,6,3] => 0000111
[3,1,8,7,6,4,2,5] => [3,4,1,6,2,7,8,5] => [8,7,6,4,1,3,2,5] => 0110111
[3,1,8,7,5,4,2,6] => [3,4,1,5,7,2,8,6] => [8,7,5,4,1,3,2,6] => 0111011
[3,1,7,6,5,4,2,8] => [3,4,1,5,6,7,2,8] => [7,6,5,4,1,3,2,8] => 0111110
[5,4,1,7,6,3,2,8] => [4,3,5,6,2,7,1,8] => [7,6,3,2,5,4,1,8] => 0111110
[6,4,1,8,5,3,2,7] => [4,3,6,5,8,2,1,7] => [8,5,3,2,6,4,1,7] => 0111101
[8,5,7,1,4,3,2,6] => [7,3,4,1,8,2,5,6] => [4,3,1,8,2,7,5,6] => 0110011
[8,7,5,1,4,3,2,6] => [5,3,4,1,7,2,8,6] => [4,3,1,8,7,5,2,6] => 0111011
[8,6,1,7,2,5,3,4] => [6,8,5,3,1,7,2,4] => [5,3,7,1,8,6,2,4] => 0001111
[1,8,6,3,4,2,5,7] => [1,4,6,3,2,8,5,7] => [1,8,6,3,4,2,5,7] => 0010101
[3,1,6,4,5,8,7,2] => [3,7,1,6,4,5,8,2] => [6,4,5,8,7,1,3,2] => 0100111
[8,1,6,3,4,7,5,2] => [8,5,7,2,6,1,4,3] => [6,2,7,5,1,4,8,3] => 0001111
[1,8,6,3,4,2,7,5] => [1,4,6,3,8,7,5,2] => [1,7,5,8,6,3,4,2] => 0010111
[5,6,3,7,4,2,8,1] => [8,4,7,6,5,2,3,1] => [5,6,2,7,4,3,8,1] => 0010111
[6,2,3,1,7,5,8,4] => [3,6,2,8,7,1,5,4] => [7,2,3,1,8,5,6,4] => 0100111
[6,1,7,3,5,2,8,4] => [6,5,7,8,3,1,2,4] => [8,3,7,1,5,2,6,4] => 0001111
[6,2,7,8,5,4,3,1] => [3,4,5,8,6,1,7,2] => [6,1,7,8,5,4,3,2] => 0111101
[4,6,7,3,5,1,8,2] => [5,8,7,4,3,6,1,2] => [4,6,7,3,8,1,5,2] => 0001011
[4,7,6,3,1,2,8,5] => [3,1,6,4,7,8,5,2] => [4,8,5,7,6,3,1,2] => 0100111
[5,2,3,4,7,1,6,8] => [7,5,2,3,4,1,6,8] => [5,2,3,4,7,1,6,8] => 0001010
[5,2,3,7,1,6,8,4] => [7,5,2,8,3,1,6,4] => [8,2,3,5,1,6,7,4] => 0001011
[8,7,5,3,1,6,4,2] => [3,5,4,7,6,1,8,2] => [6,4,1,8,7,5,3,2] => 0111111
[1,4,7,8,5,2,3,6] => [1,5,2,4,8,3,7,6] => [1,4,7,8,5,2,3,6] => 0001001
[6,7,3,5,1,8,4,2] => [5,4,8,7,2,6,1,3] => [6,7,2,8,4,1,5,3] => 0011011
[3,6,7,1,4,2,5,8] => [7,4,3,1,2,6,5,8] => [3,4,1,6,7,2,5,8] => 0010010
[6,5,1,8,3,7,2,4] => [5,6,7,3,8,2,1,4] => [8,3,7,2,6,5,1,4] => 0001111
[8,1,5,3,2,6,4,7] => [8,3,5,6,1,2,4,7] => [6,3,1,5,2,8,4,7] => 0101101
[5,3,1,7,4,6,2,8] => [3,5,6,7,2,4,1,8] => [7,2,6,4,5,3,1,8] => 0101110
[1,8,7,5,3,2,6,4] => [1,3,5,7,6,4,8,2] => [1,6,4,8,7,5,3,2] => 0101111
[5,1,7,6,3,2,8,4] => [5,3,6,7,1,8,4,2] => [8,3,1,7,6,4,5,2] => 0101111
[7,8,1,5,4,2,3,6] => [8,4,2,5,1,3,7,6] => [5,4,2,7,8,1,3,6] => 0011001
[2,7,5,1,4,6,3,8] => [5,2,7,3,6,4,1,8] => [2,6,3,4,7,5,1,8] => 0001110
[3,4,6,8,1,5,7,2] => [8,7,3,4,1,6,5,2] => [3,4,6,7,1,5,8,2] => 0000011
[4,2,5,6,1,3,7,8] => [6,4,1,2,5,3,7,8] => [4,1,5,6,2,3,7,8] => 0010100
[7,6,3,1,2,8,5,4] => [3,1,6,5,7,8,4,2] => [8,5,4,7,6,3,1,2] => 0101111
[5,6,7,1,4,2,8,3] => [7,4,8,1,5,6,2,3] => [5,6,8,1,4,2,7,3] => 0010011
[5,7,6,1,3,4,8,2] => [6,7,2,3,5,8,4,1] => [5,8,2,3,4,7,6,1] => 0000111
[7,5,6,4,8,1,3,2] => [8,3,1,6,7,5,4,2] => [3,1,7,5,6,4,8,2] => 0100111
[1,7,5,2,6,4,8,3] => [1,5,7,8,6,3,2,4] => [1,6,3,8,2,7,5,4] => 0001111
[1,2,5,7,8,4,6,3] => [1,2,6,8,5,4,7,3] => [1,2,5,7,8,4,6,3] => 0000101
[3,1,2,7,5,4,8,6] => [3,1,2,5,7,8,4,6] => [3,1,2,8,5,4,7,6] => 0101011
[8,6,1,7,5,2,4,3] => [6,5,4,1,8,7,2,3] => [4,1,7,5,2,8,6,3] => 0011111
[7,6,4,1,8,3,2,5] => [4,3,6,7,2,8,1,5] => [8,3,2,7,6,4,1,5] => 0110111
[4,2,1,5,7,8,3,6] => [2,4,8,1,5,3,7,6] => [5,7,8,2,1,4,3,6] => 1010001
[5,1,4,6,7,8,2,3] => [5,8,2,1,4,6,7,3] => [6,7,8,2,4,5,1,3] => 0001001
[8,2,1,6,7,5,4,3] => [2,8,4,5,7,1,6,3] => [7,5,4,2,1,6,8,3] => 1011011
[6,7,4,1,8,5,2,3] => [4,7,1,5,8,6,2,3] => [6,8,5,1,7,4,2,3] => 0011011
[8,6,4,1,5,7,3,2] => [4,3,6,8,1,7,5,2] => [7,3,1,5,8,6,4,2] => 0110111
[5,2,4,3,7,1,6,8] => [7,5,4,2,3,1,6,8] => [4,2,5,3,7,1,6,8] => 0011010
[3,2,1,7,5,8,4,6] => [2,3,1,8,7,4,5,6] => [3,2,1,7,4,8,5,6] => 1100011
[1,3,6,4,7,8,2,5] => [1,8,3,6,2,4,7,5] => [1,3,6,2,7,8,4,5] => 0000101
[8,4,6,5,1,2,7,3] => [5,1,6,7,8,2,3,4] => [8,1,2,7,3,6,5,4] => 0001111
[1,5,2,4,3,8,7,6] => [1,5,4,2,3,7,8,6] => [1,4,2,5,3,8,7,6] => 0011011
[1,6,3,8,4,5,7,2] => [1,7,6,8,4,3,5,2] => [1,8,4,6,3,5,7,2] => 0000111
[7,1,4,3,2,8,6,5] => [7,3,4,1,6,8,2,5] => [4,3,1,8,6,2,7,5] => 0110111
[7,8,6,5,4,3,2,9,1] => [9,3,4,5,6,8,7,2,1] => [7,8,6,5,4,3,2,9,1] => 01111011
[9,7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,9,2,8] => [9,7,6,5,4,3,1,2,8] => 01111101
[2,3,8,4,7,5,6,1] => [6,2,3,8,7,5,4,1] => [2,3,7,5,8,4,6,1] => 0000111
[6,3,7,5,8,2,4,1] => [4,8,6,2,7,3,5,1] => [7,2,6,5,8,3,4,1] => 0010111
[2,4,7,8,6,1,5,3] => [6,2,5,4,1,8,7,3] => [2,4,5,1,7,8,6,3] => 0001101
[2,4,8,5,1,7,3,6] => [5,2,8,4,7,1,3,6] => [2,4,7,1,8,5,3,6] => 0001011
[2,8,3,5,1,6,4,7] => [5,2,8,6,3,1,4,7] => [2,6,3,8,1,5,4,7] => 0001101
[2,8,3,5,1,4,6,7] => [5,2,8,1,3,4,6,7] => [2,8,1,5,3,4,6,7] => 0001001
[4,5,3,8,2,1,7,6] => [2,8,5,4,3,7,1,6] => [4,5,3,7,2,1,8,6] => 1001011
[4,8,3,2,5,1,6,7] => [5,3,8,4,2,1,6,7] => [4,8,3,2,5,1,6,7] => 0101001
[2,5,4,8,3,7,1,6] => [7,2,8,5,4,1,3,6] => [2,5,4,8,1,7,3,6] => 0001011
[5,8,3,1,7,4,2,6] => [3,8,4,7,5,1,2,6] => [5,7,4,1,8,3,2,6] => 0110011
[4,6,2,3,8,5,7,1] => [7,6,2,4,8,3,5,1] => [4,8,2,3,6,5,7,1] => 0000111
[8,5,3,4,7,2,6,1] => [6,7,5,3,8,2,4,1] => [8,5,3,7,2,4,6,1] => 0001111
[5,2,4,7,1,6,8,3] => [7,5,8,2,4,1,6,3] => [8,2,4,5,1,6,7,3] => 0001011
[3,8,1,2,4,7,5,6] => [8,1,3,2,7,5,4,6] => [3,7,5,8,1,2,4,6] => 0000011
[1,4,6,2,7,5,3,8] => [1,6,5,4,7,2,3,8] => [1,4,7,5,2,6,3,8] => 0001110
[8,2,1,4,5,6,7,3] => [2,8,7,1,4,5,6,3] => [7,2,1,4,5,6,8,3] => 1000011
[6,4,1,3,2,5,8,7] => [4,3,1,6,2,5,8,7] => [3,1,6,4,2,5,8,7] => 0110101
[5,2,3,7,8,1,6,4] => [8,5,2,6,3,1,7,4] => [6,2,3,5,1,7,8,4] => 0001101
[5,2,8,6,3,1,7,4] => [3,6,5,8,1,7,4,2] => [7,1,5,4,8,6,3,2] => 0101111
[6,2,3,5,1,8,7,4] => [5,6,2,7,3,1,8,4] => [8,7,2,3,6,1,5,4] => 0001111
[7,6,3,4,2,8,1,5] => [8,4,6,3,1,7,2,5] => [7,6,3,4,1,8,2,5] => 0010111
[6,2,4,5,7,8,1,3] => [8,6,1,2,4,5,7,3] => [6,1,4,5,7,8,2,3] => 0000101
[4,5,7,8,6,2,1,3] => [2,6,1,4,5,8,7,3] => [4,5,7,8,6,2,1,3] => 1000101
[1,2,8,4,3,6,7,5] => [1,2,4,8,7,3,6,5] => [1,2,7,4,3,6,8,5] => 0010011
[1,8,3,2,4,6,7,5] => [1,3,8,2,7,4,6,5] => [1,7,3,2,4,6,8,5] => 0100011
[1,2,7,5,3,4,6,8] => [1,2,5,3,7,4,6,8] => [1,2,7,5,3,4,6,8] => 0001010
[4,6,5,2,7,1,8,3] => [7,5,6,4,8,3,1,2] => [4,8,3,6,5,1,7,2] => 0001111
[6,7,2,5,3,1,8,4] => [3,5,7,8,1,6,2,4] => [6,8,1,7,3,2,5,4] => 0101011
[3,7,2,5,4,1,8,6] => [4,5,3,7,1,8,2,6] => [3,8,1,5,4,2,7,6] => 0011011
[7,4,2,6,3,1,8,5] => [3,6,4,7,8,1,2,5] => [8,4,1,7,3,2,6,5] => 0110111
[1,6,4,7,2,8,5,3] => [1,7,5,8,6,3,2,4] => [1,6,3,8,5,2,7,4] => 0001111
[1,7,8,2,6,5,4,3] => [1,8,4,5,6,2,7,3] => [1,6,5,4,2,7,8,3] => 0011101
[1,3,8,2,7,5,4,6] => [1,8,3,5,7,4,2,6] => [1,3,7,5,4,8,2,6] => 0001011
[1,8,4,2,7,6,3,5] => [1,4,8,6,2,7,3,5] => [1,7,6,2,8,4,3,5] => 0010111
[8,7,2,6,5,4,3,1] => [3,4,5,6,7,1,8,2] => [8,7,1,6,5,4,3,2] => 0111111
[7,3,8,2,6,5,4,1] => [4,5,6,8,7,1,2,3] => [7,1,8,2,6,5,4,3] => 0011111
[4,6,5,1,2,8,7,3] => [5,1,6,4,7,3,8,2] => [4,8,7,3,6,5,1,2] => 0001111
[6,8,1,2,7,5,3,4] => [8,1,5,3,7,6,2,4] => [6,7,5,3,8,1,2,4] => 0001011
[4,6,2,3,8,7,5,1] => [5,7,1,4,6,3,8,2] => [4,6,1,3,8,7,5,2] => 0001111
[8,1,6,2,7,5,4,3] => [8,6,4,5,7,1,2,3] => [7,5,4,1,6,2,8,3] => 0011111
[7,1,3,8,6,5,4,2] => [7,4,1,5,6,8,3,2] => [8,6,5,4,1,3,7,2] => 0011111
[7,2,3,8,6,5,4,1] => [4,5,1,6,8,7,3,2] => [7,1,3,8,6,5,4,2] => 0011111
[2,4,1,8,7,3,6,5] => [4,2,7,1,6,3,8,5] => [2,6,1,4,3,8,7,5] => 0010111
[2,8,5,1,7,3,6,4] => [5,2,8,7,6,4,3,1] => [2,6,4,7,3,8,5,1] => 0001111
[2,8,1,5,4,3,7,6] => [8,2,4,5,1,7,3,6] => [2,5,4,1,7,3,8,6] => 0011011
[2,8,6,1,5,4,3,7] => [6,2,4,5,1,8,3,7] => [2,5,4,1,8,6,3,7] => 0011101
[2,6,1,5,8,4,3,7] => [6,2,4,8,1,5,3,7] => [2,8,4,1,5,6,3,7] => 0010101
[7,4,6,1,5,3,2,8] => [6,3,5,7,1,4,2,8] => [7,3,1,5,4,6,2,8] => 0101110
[3,5,1,6,8,4,2,7] => [5,4,3,8,1,6,2,7] => [3,6,8,4,1,5,2,7] => 0011001
[6,3,8,7,1,5,4,2] => [7,4,5,6,1,2,8,3] => [6,1,5,4,2,8,7,3] => 0011111
[8,5,4,7,2,1,6,3] => [2,7,6,5,8,1,4,3] => [8,5,2,1,6,4,7,3] => 1001111
[4,5,7,2,1,6,3,8] => [2,7,6,4,5,1,3,8] => [4,5,6,2,1,7,3,8] => 1000110
[4,7,5,8,2,1,6,3] => [2,8,6,4,7,1,5,3] => [4,7,2,1,6,5,8,3] => 1000111
[8,3,4,1,7,5,2,6] => [4,5,7,2,8,3,1,6] => [8,2,7,5,3,4,1,6] => 0011011
[8,5,6,1,7,3,2,4] => [6,3,7,2,8,5,1,4] => [8,5,7,3,2,6,1,4] => 0100111
[4,5,1,6,7,8,3,2] => [5,3,8,4,1,6,7,2] => [4,6,7,8,3,1,5,2] => 0101001
[5,6,8,2,1,7,3,4] => [2,8,7,3,5,6,1,4] => [5,6,7,3,8,2,1,4] => 1000011
[4,5,2,6,1,3,8,7] => [6,5,1,4,2,3,8,7] => [4,5,1,6,2,3,8,7] => 0001101
[8,3,6,5,7,1,2,4] => [7,1,8,2,6,3,5,4] => [6,1,2,8,5,7,3,4] => 0000111
[8,2,3,7,1,5,4,6] => [7,8,2,5,1,4,3,6] => [5,2,8,4,7,1,3,6] => 0001011
[8,4,6,7,2,5,1,3] => [5,7,1,8,2,4,6,3] => [8,1,6,7,4,5,2,3] => 0001011
[3,4,6,7,2,5,8,1] => [8,7,3,4,2,6,5,1] => [3,4,6,7,2,5,8,1] => 0000011
[3,7,1,5,6,8,4,2] => [7,4,3,8,1,5,6,2] => [3,8,4,1,5,6,7,2] => 0010011
[6,7,1,2,4,8,5,3] => [7,1,5,2,8,6,4,3] => [6,8,5,1,2,4,7,3] => 0001011
[1,6,3,4,7,8,5,2] => [1,5,8,2,6,4,7,3] => [1,6,2,4,7,8,5,3] => 0001101
[2,3,6,4,7,5,8,1] => [8,2,3,6,7,4,5,1] => [2,3,7,4,6,5,8,1] => 0000111
[7,8,1,3,4,5,6,2] => [8,6,1,3,4,5,7,2] => [6,1,3,4,5,7,8,2] => 0000101
[8,7,2,4,5,6,1,3] => [6,7,1,2,4,5,8,3] => [8,7,1,4,5,6,2,3] => 0000111
[6,1,4,5,2,3,8,7] => [6,5,2,1,4,3,8,7] => [5,2,4,6,1,3,8,7] => 0001101
[7,8,4,1,2,6,3,5] => [4,1,8,6,2,3,7,5] => [6,1,2,7,8,4,3,5] => 0010101
[8,1,2,7,6,3,5,4] => [8,1,6,5,3,7,2,4] => [5,3,7,6,1,2,8,4] => 0001111
[4,8,6,3,1,2,7,5] => [3,1,6,4,8,7,5,2] => [4,7,5,8,6,3,1,2] => 0100111
[8,3,5,7,4,2,1,6] => [2,4,7,8,1,3,5,6] => [8,2,1,7,4,3,5,6] => 1010011
[4,3,7,2,8,6,1,5] => [6,8,4,3,2,7,1,5] => [4,3,7,2,8,6,1,5] => 0010111
[6,1,2,7,4,3,8,5] => [6,1,4,7,8,2,3,5] => [8,4,1,2,7,3,6,5] => 0010111
[5,1,2,7,3,8,6,4] => [5,1,7,6,2,8,3,4] => [8,6,1,2,7,3,5,4] => 0001111
[8,3,6,2,1,7,4,5] => [2,6,8,7,4,3,1,5] => [7,4,8,3,6,2,1,5] => 1000111
[7,3,6,2,1,8,4,5] => [2,6,7,8,4,3,1,5] => [8,4,7,3,6,2,1,5] => 1000111
[7,5,3,2,1,8,6,4] => [2,3,5,7,6,8,4,1] => [8,6,4,7,5,3,2,1] => 1101111
[4,2,1,5,3,6,7,8] => [2,4,5,1,3,6,7,8] => [5,2,1,4,3,6,7,8] => 1011000
[3,1,4,2,5,6,7,8,9] => [3,4,1,2,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9] => 01100000
[3,1,4,2,5,6,7,8,9,10] => [3,4,1,2,5,6,7,8,9,10] => [4,1,3,2,5,6,7,8,9,10] => 011000000
[6,2,5,4,1,8,7,3] => [4,5,6,7,3,2,8,1] => [8,7,3,6,2,5,4,1] => 0011111
[4,6,3,2,1,8,7,5] => [2,3,6,4,7,1,8,5] => [4,8,7,3,2,1,6,5] => 1100111
[6,5,3,2,1,8,7,4] => [2,3,5,6,7,4,8,1] => [8,7,4,6,5,3,2,1] => 1101111
[1,5,8,4,7,6,3,2] => [1,3,6,7,5,8,2,4] => [1,5,8,3,2,7,6,4] => 0100111
[3,2,7,4,8,6,1,5] => [6,3,2,8,4,7,1,5] => [3,2,7,4,8,6,1,5] => 0100111
[5,7,8,4,3,2,1,6] => [2,3,4,8,5,1,7,6] => [5,7,8,4,3,2,1,6] => 1110001
[8,2,5,4,7,6,1,3] => [6,7,2,5,1,8,4,3] => [5,2,8,4,7,6,1,3] => 0001111
[7,2,5,4,8,6,1,3] => [6,8,2,5,1,7,4,3] => [5,2,7,4,8,6,1,3] => 0001111
[4,5,3,2,8,6,1,7] => [6,3,5,4,2,8,1,7] => [4,5,3,2,8,6,1,7] => 0101101
[3,2,5,4,8,6,1,7] => [6,3,2,5,4,8,1,7] => [3,2,5,4,8,6,1,7] => 0101101
[3,2,8,6,5,4,1,7] => [4,3,2,5,6,8,1,7] => [3,2,8,6,5,4,1,7] => 0111101
[8,4,3,6,5,2,1,7] => [2,5,4,6,8,1,3,7] => [8,4,2,1,6,5,3,7] => 1011101
[8,4,3,7,5,2,1,6] => [2,5,4,7,8,3,1,6] => [8,4,3,7,5,2,1,6] => 1011011
[3,2,7,8,5,4,1,6] => [4,3,2,5,8,1,7,6] => [3,2,7,8,5,4,1,6] => 0111001
[6,8,7,4,3,2,1,5] => [2,3,4,7,1,6,8,5] => [6,8,7,4,3,2,1,5] => 1110011
[2,3,1,8,5,7,4,6] => [3,2,1,7,8,4,5,6] => [2,3,1,8,4,7,5,6] => 0100011
[5,8,1,3,7,2,6,4] => [8,7,1,6,5,2,3,4] => [5,6,1,7,2,3,8,4] => 0000111
[4,7,5,1,8,2,6,3] => [5,7,8,4,6,3,2,1] => [4,6,3,8,2,7,5,1] => 0001111
[6,3,2,1,8,7,4,5] => [2,3,6,7,4,1,8,5] => [8,7,4,6,3,2,1,5] => 1100111
[6,2,3,1,8,7,4,5] => [3,6,2,7,4,1,8,5] => [8,7,4,6,2,3,1,5] => 0100111
[3,4,7,1,8,5,6,2] => [7,6,3,4,8,5,1,2] => [3,4,8,5,6,1,7,2] => 0000111
[7,2,5,1,8,3,6,4] => [5,7,8,6,2,3,1,4] => [6,2,8,3,7,1,5,4] => 0001111
[6,1,4,5,8,2,7,3] => [6,8,7,1,4,5,2,3] => [7,1,4,5,8,2,6,3] => 0000111
[8,2,5,1,7,3,6,4] => [5,8,7,6,2,3,1,4] => [6,2,7,3,8,1,5,4] => 0001111
[8,4,6,1,2,7,5,3] => [6,1,5,7,8,3,2,4] => [8,3,7,5,1,2,6,4] => 0001111
[8,6,1,5,3,7,4,2] => [6,4,8,5,3,7,2,1] => [5,3,7,4,2,8,6,1] => 0011111
[8,3,6,4,1,7,5,2] => [4,6,5,7,8,3,2,1] => [8,3,7,5,2,6,4,1] => 0011111
[7,1,6,4,2,8,5,3] => [7,4,6,5,8,1,3,2] => [8,5,1,6,4,3,7,2] => 0011111
[6,8,1,4,3,7,5,2] => [8,5,4,1,7,6,3,2] => [4,1,6,7,5,3,8,2] => 0011011
[6,7,1,4,3,8,5,2] => [7,5,4,1,8,6,3,2] => [4,1,6,8,5,3,7,2] => 0011011
[4,7,1,5,3,8,6,2] => [7,6,5,4,1,8,3,2] => [4,5,1,8,6,3,7,2] => 0001111
[7,1,6,4,8,3,5,2] => [7,5,8,6,3,1,4,2] => [6,3,8,1,5,4,7,2] => 0001111
[7,1,6,3,4,8,5,2] => [7,5,8,2,6,1,4,3] => [6,2,8,5,1,4,7,3] => 0001111
[8,6,4,1,3,7,5,2] => [4,6,1,5,8,7,3,2] => [7,5,1,3,8,6,4,2] => 0011111
[8,6,3,4,1,7,5,2] => [4,5,7,2,6,8,1,3] => [8,6,2,7,5,1,4,3] => 0011111
[8,5,3,6,1,7,4,2] => [6,4,7,5,8,2,1,3] => [8,5,2,7,4,1,6,3] => 0011111
[8,5,6,1,2,7,4,3] => [6,1,4,7,8,5,2,3] => [8,5,7,4,1,2,6,3] => 0010111
[8,2,6,3,5,4,7,1] => [7,8,6,5,3,2,4,1] => [5,3,6,2,8,4,7,1] => 0001111
[3,6,1,4,5,8,7,2] => [6,7,3,1,4,5,8,2] => [3,8,7,1,4,5,6,2] => 0000111
[4,6,1,3,8,7,2,5] => [6,7,1,4,2,3,8,5] => [4,8,7,1,6,2,3,5] => 0000111
[7,1,3,8,4,2,5,6] => [7,4,1,8,2,5,3,6] => [8,4,1,5,7,2,3,6] => 0010011
[8,5,2,1,4,3,6,7] => [2,5,4,1,8,3,6,7] => [4,2,1,8,5,3,6,7] => 1011001
[1,4,7,2,8,6,5,3] => [1,7,5,4,6,8,2,3] => [1,4,8,6,5,2,7,3] => 0001111
[1,6,7,8,5,2,4,3] => [1,5,4,2,8,6,7,3] => [1,4,2,6,7,8,5,3] => 0011001
[8,1,2,4,5,6,7,3] => [8,1,7,2,4,5,6,3] => [7,1,2,4,5,6,8,3] => 0000011
[7,1,3,4,2,8,6,5] => [7,4,1,3,6,8,2,5] => [4,1,3,8,6,2,7,5] => 0010111
[6,1,5,2,3,8,7,4] => [6,5,2,7,1,3,8,4] => [8,7,2,5,1,3,6,4] => 0001111
[8,7,5,3,1,6,2,4] => [3,5,7,2,6,1,8,4] => [6,2,8,7,5,3,1,4] => 0101111
[1,8,3,6,7,2,4,5] => [1,7,8,2,4,3,6,5] => [1,8,2,4,6,7,3,5] => 0000011
[3,1,8,6,4,2,5,7] => [3,4,1,6,2,8,5,7] => [8,6,4,1,3,2,5,7] => 0110101
[1,2,8,3,7,4,6,5] => [1,2,8,7,6,4,3,5] => [1,2,6,4,7,3,8,5] => 0000111
[1,9,2,3,4,5,6,7,8,10] => [1,9,2,3,4,5,6,7,8,10] => [1,9,2,3,4,5,6,7,8,10] => 000000010
[1,7,2,3,4,5,6,8,9] => [1,7,2,3,4,5,6,8,9] => [1,7,2,3,4,5,6,8,9] => 00000100
[8,2,7,4,3,5,6,1] => [6,8,4,7,3,5,2,1] => [7,4,3,5,8,2,6,1] => 0010111
[8,2,6,5,4,3,1,7] => [3,4,5,6,8,1,2,7] => [8,1,6,5,4,3,2,7] => 0111101
[8,6,3,5,4,2,1,7] => [2,4,5,6,1,8,3,7] => [8,6,2,1,5,4,3,7] => 1011101
[8,7,3,5,4,2,6,1] => [6,4,5,7,2,3,8,1] => [8,7,2,5,4,3,6,1] => 0011111
[12,10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,12,1,11] => [12,10,9,8,7,6,5,4,3,2,1,11] => 11111111101
[4,5,8,1,3,6,7,2] => [8,7,1,4,5,3,6,2] => [4,5,7,1,3,6,8,2] => 0000011
[3,7,1,8,2,5,4,6] => [7,8,3,5,2,4,1,6] => [3,5,2,8,4,7,1,6] => 0001011
[4,5,8,6,1,3,7,2] => [6,8,2,4,5,7,3,1] => [4,5,7,2,3,8,6,1] => 0000111
[4,5,8,6,2,7,3,1] => [3,7,6,4,5,8,1,2] => [4,5,8,6,1,7,3,2] => 0100111
[4,6,7,2,1,8,5,3] => [2,7,5,4,8,6,1,3] => [4,6,8,5,2,1,7,3] => 1001011
[4,2,5,6,7,8,3,1] => [3,8,4,1,5,6,7,2] => [4,1,5,6,7,8,3,2] => 0110001
[4,1,3,5,6,7,8,2] => [4,8,1,3,5,6,7,2] => [5,6,7,8,1,3,4,2] => 0010001
[4,5,8,3,7,1,2,6] => [7,1,8,4,5,2,3,6] => [4,5,8,1,2,7,3,6] => 0000011
[3,7,8,4,6,2,5,1] => [5,6,3,8,2,4,7,1] => [3,7,8,2,6,4,5,1] => 0001101
[3,8,6,2,5,1,7,4] => [5,6,3,8,4,7,1,2] => [3,7,4,8,6,1,5,2] => 0001111
[4,5,8,6,2,1,7,3] => [2,6,8,4,5,7,3,1] => [4,5,7,3,8,6,2,1] => 1000111
[3,7,8,5,2,6,1,4] => [6,5,3,1,8,2,7,4] => [3,7,8,5,1,6,2,4] => 0001101
[4,6,8,5,3,1,7,2] => [3,5,8,4,7,6,1,2] => [4,6,7,1,8,5,3,2] => 0101011
[7,8,2,3,5,4,1,6] => [4,5,1,8,3,2,7,6] => [7,8,1,3,5,4,2,6] => 0011001
[4,1,3,5,2,6,7,8] => [4,5,1,3,2,6,7,8] => [5,1,3,4,2,6,7,8] => 0011000
[4,6,5,1,7,3,2,8] => [5,3,6,4,7,2,1,8] => [4,7,3,2,6,5,1,8] => 0101110
[1,6,5,2,3,4,8,7] => [1,5,2,3,6,4,8,7] => [1,6,5,2,3,4,8,7] => 0001101
[5,7,3,1,2,4,8,6] => [3,1,7,2,5,8,4,6] => [5,8,3,1,2,4,7,6] => 0100011
[6,3,1,7,2,5,8,4] => [3,6,7,8,1,2,5,4] => [8,1,7,3,2,5,6,4] => 0100111
[3,8,1,6,7,2,5,4] => [8,7,3,5,2,1,6,4] => [3,5,2,7,1,6,8,4] => 0001011
[1,6,5,3,7,8,4,2] => [1,4,8,5,6,2,7,3] => [1,6,5,2,7,8,4,3] => 0011101
[2,6,5,8,4,1,7,3] => [4,2,8,7,6,5,3,1] => [2,6,5,7,3,8,4,1] => 0010111
[1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => 00000010
[1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => 000000010
[1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => 00000100
[5,2,7,3,4,6,1,8] => [6,5,7,3,2,4,1,8] => [7,3,5,2,4,6,1,8] => 0001110
[7,4,3,1,6,5,8,2] => [3,4,7,8,6,1,5,2] => [6,1,8,5,7,4,3,2] => 0110111
[8,6,1,7,5,3,2,4] => [6,3,5,1,8,7,2,4] => [7,5,3,1,8,6,2,4] => 0101111
[6,2,7,3,8,5,4,1] => [4,5,8,6,7,1,2,3] => [7,1,6,2,8,5,4,3] => 0011111
[6,7,3,4,8,1,5,2] => [8,5,7,3,1,6,4,2] => [6,7,3,5,1,4,8,2] => 0001011
[7,2,8,3,6,4,5,1] => [5,7,8,6,4,3,2,1] => [6,4,8,3,7,2,5,1] => 0001111
[1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => [1,5,3,7,8,2,4,6] => 0001001
[1,2,8,7,3,4,6,5] => [1,2,7,3,6,4,8,5] => [1,2,6,3,4,8,7,5] => 0000111
[8,7,6,2,4,3,5,1] => [5,6,4,2,3,7,8,1] => [4,2,8,7,6,3,5,1] => 0011111
[8,1,2,7,4,3,5,6] => [8,1,4,7,3,5,2,6] => [7,4,3,5,8,1,2,6] => 0010011
[3,8,1,5,7,2,6,4] => [8,7,3,6,1,2,5,4] => [3,6,1,7,2,5,8,4] => 0000111
[7,5,4,8,6,1,2,3] => [6,1,2,5,8,7,3,4] => [7,5,1,2,3,8,6,4] => 0001111
[8,7,5,1,4,3,6,2] => [5,7,4,2,6,3,8,1] => [4,2,6,3,8,7,5,1] => 0011111
[6,8,4,3,1,7,2,5] => [3,4,8,7,2,6,1,5] => [6,7,2,8,4,3,1,5] => 0110011
[8,4,1,3,7,5,6,2] => [4,8,2,6,7,5,3,1] => [7,5,6,2,3,8,4,1] => 0010111
[1,8,5,7,4,2,3,6] => [1,4,2,7,8,3,5,6] => [1,8,4,2,3,7,5,6] => 0010011
[2,1,6,8,5,3,4,7] => [2,1,5,3,8,6,4,7] => [2,1,6,8,5,3,4,7] => 1001001
[5,4,1,3,8,6,7,2] => [4,5,2,7,3,8,6,1] => [8,6,7,2,3,5,4,1] => 0011011
[1,2,6,8,5,3,4,7] => [1,2,5,3,8,6,4,7] => [1,2,6,8,5,3,4,7] => 0001001
[5,6,8,7,3,1,2,4] => [3,1,7,2,5,6,8,4] => [5,6,8,7,3,1,2,4] => 0100011
[6,2,3,4,7,1,8,5] => [7,6,2,3,8,4,1,5] => [8,2,3,4,6,1,7,5] => 0000111
[6,3,2,4,7,1,8,5] => [7,3,6,2,8,4,1,5] => [8,3,2,4,6,1,7,5] => 0100111
[1,5,6,8,4,2,3,7] => [1,4,2,8,5,6,3,7] => [1,5,6,8,4,2,3,7] => 0010001
[5,7,8,3,6,1,2,4] => [6,1,8,2,5,3,7,4] => [5,7,8,1,2,6,3,4] => 0000101
[8,4,1,2,5,7,6,3] => [4,1,8,6,3,7,5,2] => [7,6,3,5,8,4,1,2] => 0010111
[4,8,1,2,5,7,6,3] => [8,1,6,4,2,7,5,3] => [4,7,6,1,2,5,8,3] => 0000111
[1,5,8,6,2,4,3,7] => [1,6,4,2,5,8,3,7] => [1,4,2,5,8,6,3,7] => 0010101
[5,1,8,6,2,4,3,7] => [5,6,4,2,1,8,3,7] => [4,2,8,6,1,5,3,7] => 0011101
[5,7,6,3,8,1,2,4] => [8,1,6,2,5,7,3,4] => [5,7,6,1,2,8,3,4] => 0000111
[5,7,6,8,3,1,2,4] => [3,1,8,2,5,7,6,4] => [5,7,6,8,3,1,2,4] => 0100011
[6,8,7,5,3,1,2,4] => [3,1,5,2,7,6,8,4] => [6,8,7,5,3,1,2,4] => 0101011
[1,2,5,3,6,8,7,4] => [1,2,5,7,3,6,8,4] => [1,2,6,8,7,3,5,4] => 0001011
[7,3,6,1,4,8,2,5] => [6,8,7,1,2,3,4,5] => [7,1,8,2,6,3,4,5] => 0000111
[7,8,1,6,5,3,4,2] => [8,4,5,3,6,1,7,2] => [6,5,3,4,1,7,8,2] => 0011101
[8,7,3,2,1,4,6,5] => [2,3,7,1,6,4,8,5] => [6,3,2,1,4,8,7,5] => 1100111
[6,7,5,1,8,4,2,3] => [5,4,1,7,8,6,2,3] => [6,8,4,1,7,5,2,3] => 0011011
[8,2,6,1,7,5,3,4] => [6,8,5,3,7,2,1,4] => [7,5,3,8,2,6,1,4] => 0001111
[3,5,6,8,4,2,7,1] => [7,4,3,8,5,6,2,1] => [3,5,6,8,4,2,7,1] => 0010011
[2,8,6,3,4,1,7,5] => [4,2,6,3,8,7,5,1] => [2,7,5,8,6,3,4,1] => 0010111
[4,3,6,2,8,5,7,1] => [7,6,4,3,8,2,5,1] => [4,3,8,2,6,5,7,1] => 0010111
[6,8,1,5,3,2,7,4] => [8,3,5,7,1,6,2,4] => [6,7,3,1,5,2,8,4] => 0101011
[4,2,8,7,5,3,6,1] => [6,4,5,2,7,3,8,1] => [8,7,5,2,4,3,6,1] => 0011111
[2,8,3,7,5,1,6,4] => [5,2,7,8,6,3,4,1] => [2,6,3,8,4,7,5,1] => 0001111
[4,1,8,6,5,2,7,3] => [4,5,6,1,8,7,2,3] => [7,1,8,6,5,2,4,3] => 0011111
[2,8,5,4,1,6,7,3] => [4,2,5,8,7,1,6,3] => [2,7,1,6,8,5,4,3] => 0011011
[2,8,3,1,4,7,6,5] => [3,2,8,1,6,7,4,5] => [2,7,6,3,1,4,8,5] => 0100111
[2,8,4,3,6,7,1,5] => [7,2,4,8,1,3,6,5] => [2,8,4,1,6,7,3,5] => 0010011
[6,4,7,2,8,3,5,1] => [5,7,8,6,3,4,2,1] => [6,3,8,4,7,2,5,1] => 0001111
[1,6,7,8,2,4,3,5] => [1,8,4,2,3,6,7,5] => [1,4,2,6,7,8,3,5] => 0010001
[4,1,2,8,5,3,7,6] => [4,1,5,2,8,7,3,6] => [7,5,1,2,4,3,8,6] => 0011011
[3,8,4,2,5,1,7,6] => [5,4,3,8,2,7,1,6] => [3,7,4,2,5,1,8,6] => 0011011
[1,5,6,3,7,4,8,2] => [1,8,6,7,5,3,4,2] => [1,5,7,3,6,4,8,2] => 0000111
[2,8,3,5,6,4,1,7] => [4,2,6,8,1,5,3,7] => [2,8,1,5,6,4,3,7] => 0010101
[4,6,1,7,5,2,3,8] => [6,5,2,4,7,1,3,8] => [4,7,5,2,6,1,3,8] => 0001110
[5,6,4,7,2,1,8,3] => [2,7,8,6,5,4,1,3] => [5,6,4,8,2,1,7,3] => 1000111
[2,8,7,1,3,6,5,4] => [7,2,1,5,6,3,8,4] => [2,6,5,1,3,8,7,4] => 0001111
[5,7,2,8,3,1,6,4] => [3,8,7,6,5,2,1,4] => [5,6,2,7,3,1,8,4] => 0100111
[2,7,1,4,5,3,8,6] => [7,2,5,1,4,8,3,6] => [2,5,1,4,8,3,7,6] => 0001011
[1,2,6,5,3,4,7,8] => [1,2,5,3,6,4,7,8] => [1,2,6,5,3,4,7,8] => 0001100
[1,7,2,5,6,8,3,4] => [1,7,8,3,2,5,6,4] => [1,8,3,5,6,7,2,4] => 0000011
[1,6,8,2,4,3,5,7] => [1,8,4,2,3,6,5,7] => [1,4,2,6,8,3,5,7] => 0010001
[1,5,8,2,6,7,3,4] => [1,8,7,3,5,2,6,4] => [1,5,7,3,6,8,2,4] => 0000011
[1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => [1,2,7,4,6,8,3,5] => 0000011
[1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => [1,5,3,8,2,4,7,6] => 0001011
[1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => [1,5,2,3,6,4,7,8] => 0001100
[7,2,6,1,3,4,8,5] => [6,7,1,3,8,2,4,5] => [8,1,3,7,2,4,6,5] => 0000111
[4,1,3,7,2,5,8,6] => [4,7,1,3,2,8,5,6] => [8,1,3,4,2,5,7,6] => 0010011
[1,7,5,6,2,3,8,4] => [1,6,2,8,7,5,3,4] => [1,7,5,8,2,3,6,4] => 0000111
[3,7,6,1,2,4,8,5] => [6,1,3,2,7,8,5,4] => [3,8,5,7,6,1,2,4] => 0000111
[1,7,4,3,8,2,5,6] => [1,8,4,7,2,5,3,6] => [1,7,4,2,5,8,3,6] => 0010011
[6,1,5,3,4,8,2,7] => [6,8,5,3,1,4,2,7] => [5,3,8,1,4,6,2,7] => 0001101
[3,8,4,6,7,1,2,5] => [7,1,3,8,2,4,6,5] => [3,8,1,2,6,7,4,5] => 0000011
[6,3,8,4,7,1,2,5] => [7,1,6,8,2,3,4,5] => [8,1,2,6,3,7,4,5] => 0000111
[1,2,5,4,8,3,6,7] => [1,2,8,5,4,3,6,7] => [1,2,5,4,8,3,6,7] => 0001001
[8,1,3,7,2,4,5,6] => [8,7,1,2,4,5,3,6] => [7,1,4,5,8,2,3,6] => 0000011
[8,3,1,4,7,2,5,6] => [3,8,7,2,1,5,4,6] => [7,2,5,8,3,1,4,6] => 0100011
[1,6,4,7,8,2,3,5] => [1,8,2,6,3,4,7,5] => [1,6,2,3,7,8,4,5] => 0000101
[8,2,6,7,5,1,3,4] => [5,7,2,3,8,1,6,4] => [8,2,3,6,7,5,1,4] => 0001011
[8,1,7,4,6,2,3,5] => [8,6,2,7,3,4,1,5] => [7,2,3,6,4,8,1,5] => 0000111
[4,1,8,5,7,2,3,6] => [4,7,2,1,8,3,5,6] => [8,2,4,1,3,7,5,6] => 0010011
[1,8,7,4,6,2,3,5] => [1,6,2,7,3,4,8,5] => [1,8,7,2,3,6,4,5] => 0000111
[6,5,4,1,3,8,2,7] => [4,5,1,6,8,3,2,7] => [8,1,3,6,5,4,2,7] => 0011101
[1,3,8,7,4,2,6,5] => [1,4,3,7,6,2,8,5] => [1,3,6,4,2,8,7,5] => 0010111
[8,2,5,1,4,6,7,3] => [5,8,7,1,2,4,6,3] => [7,1,6,8,2,4,5,3] => 0001011
[8,5,4,1,3,6,7,2] => [4,5,1,8,7,3,6,2] => [7,1,3,6,8,5,4,2] => 0011011
[8,4,7,6,5,3,1,2] => [3,1,5,6,7,8,4,2] => [8,4,7,6,5,3,1,2] => 0101111
[8,1,4,5,7,6,3,2] => [8,3,6,1,4,7,5,2] => [7,6,3,1,4,5,8,2] => 0100111
[2,4,1,8,5,7,6,3] => [4,2,6,1,7,8,3,5] => [2,8,1,4,3,7,6,5] => 0010111
[8,2,7,3,1,6,5,4] => [3,7,8,5,6,2,1,4] => [6,5,2,8,3,1,7,4] => 0101111
[3,1,2,8,7,4,6,5] => [3,1,2,7,6,4,8,5] => [3,1,2,6,4,8,7,5] => 0100111
[2,8,3,7,4,1,6,5] => [4,2,7,8,6,3,1,5] => [2,6,3,8,4,1,7,5] => 0010111
[8,4,5,7,6,2,3,1] => [3,6,2,7,1,8,5,4] => [8,2,3,1,5,7,6,4] => 0100111
[2,3,1,8,7,6,4,5] => [3,2,1,6,4,7,8,5] => [2,3,1,8,7,6,4,5] => 0100111
[4,2,8,7,3,1,5,6] => [3,7,4,1,2,5,8,6] => [4,1,8,7,3,2,5,6] => 0110011
[1,3,4,8,7,2,5,6] => [1,7,3,4,2,5,8,6] => [1,3,4,8,7,2,5,6] => 0000011
[8,1,3,4,6,7,2,5] => [8,7,1,3,2,4,6,5] => [7,1,3,6,8,2,4,5] => 0000011
[3,6,8,2,5,1,7,4] => [5,8,3,7,2,6,1,4] => [3,6,7,2,8,1,5,4] => 0001011
[8,4,2,1,7,5,6,3] => [2,4,8,6,7,5,3,1] => [7,5,6,3,8,4,2,1] => 1010111
[8,2,7,5,6,4,1,3] => [4,6,2,8,7,5,1,3] => [7,5,8,2,6,4,1,3] => 0010111
[3,1,8,2,7,5,6,4] => [3,8,1,6,7,5,2,4] => [7,5,6,1,3,2,8,4] => 0100111
[2,8,4,7,3,6,5,1] => [5,2,6,7,8,4,1,3] => [2,8,4,7,1,6,5,3] => 0001111
[1,8,4,7,6,5,2,3] => [1,5,2,6,7,8,4,3] => [1,8,4,7,6,5,2,3] => 0001111
[8,4,7,1,3,6,5,2] => [7,5,1,6,8,3,2,4] => [8,1,3,6,5,2,7,4] => 0001111
[3,7,1,2,8,6,4,5] => [7,1,3,6,4,8,2,5] => [3,8,6,4,7,1,2,5] => 0000111
[3,8,1,2,5,6,4,7] => [8,1,3,6,2,5,4,7] => [3,6,1,2,5,8,4,7] => 0000101
[2,6,3,1,8,5,7,4] => [3,2,6,7,8,1,5,4] => [2,8,3,1,7,5,6,4] => 0100111
[4,2,6,3,8,5,7,1] => [7,4,6,2,8,3,5,1] => [8,2,4,3,6,5,7,1] => 0010111
[5,8,2,6,4,1,7,3] => [4,6,8,7,5,3,2,1] => [5,7,3,8,2,6,4,1] => 0010111
[7,4,3,5,2,1,8,6] => [2,5,4,7,3,8,1,6] => [8,4,3,5,2,1,7,6] => 1011011
[8,3,5,4,2,7,1,6] => [7,4,5,8,2,1,3,6] => [8,2,5,4,1,7,3,6] => 0011011
[2,3,8,4,6,1,7,5] => [6,2,3,8,7,4,1,5] => [2,3,7,4,8,1,6,5] => 0000111
[5,8,3,2,4,1,7,6] => [4,3,8,2,5,7,1,6] => [5,7,3,2,4,1,8,6] => 0110011
[7,2,5,3,4,8,6,1] => [6,8,5,3,1,7,4,2] => [5,3,7,1,4,8,6,2] => 0001111
[8,3,4,6,7,5,1,2] => [5,1,7,2,8,4,6,3] => [8,1,2,4,6,7,5,3] => 0001011
[5,8,6,1,3,4,7,2] => [6,8,2,3,5,7,4,1] => [5,7,2,3,4,8,6,1] => 0000111
[4,8,1,5,7,6,3,2] => [8,3,6,4,1,7,5,2] => [4,7,6,3,1,5,8,2] => 0100111
[4,7,1,6,8,3,2,5] => [7,3,8,4,2,1,6,5] => [4,8,3,2,6,7,1,5] => 0100011
[3,7,5,2,8,6,1,4] => [6,5,3,2,8,7,1,4] => [3,7,5,2,8,6,1,4] => 0001111
[4,8,5,2,6,7,1,3] => [7,5,1,4,8,2,6,3] => [4,8,5,1,6,7,2,3] => 0001011
[5,4,8,6,1,2,7,3] => [6,1,8,5,4,7,3,2] => [5,4,7,3,8,6,1,2] => 0001111
[8,1,6,4,7,5,2,3] => [8,5,2,7,6,1,3,4] => [6,2,7,5,1,3,8,4] => 0001111
[8,2,5,7,4,1,3,6] => [4,7,2,8,1,3,5,6] => [8,2,7,4,1,3,5,6] => 0010011
[7,2,4,5,6,8,1,3] => [8,7,1,2,4,5,6,3] => [7,1,4,5,6,8,2,3] => 0000011
[7,1,3,5,6,2,8,4] => [7,6,1,8,3,5,2,4] => [8,1,3,5,6,2,7,4] => 0000111
[6,3,8,4,7,1,5,2] => [7,5,6,8,1,3,4,2] => [8,1,6,3,5,4,7,2] => 0001111
[7,1,4,3,2,8,5,6] => [7,3,4,1,8,5,2,6] => [4,3,1,8,5,7,2,6] => 0110011
[5,3,6,1,4,2,8,7] => [6,4,5,1,3,2,8,7] => [5,1,4,3,6,2,8,7] => 0011101
[5,7,2,1,4,3,8,6] => [2,7,4,1,5,8,3,6] => [4,2,1,5,8,3,7,6] => 1010011
[2,1,7,5,8,3,6,4] => [2,1,8,6,7,3,5,4] => [2,1,7,3,6,5,8,4] => 1000111
[7,3,8,5,6,2,1,4] => [2,6,7,1,8,5,3,4] => [8,5,7,2,1,6,3,4] => 1000111
[7,4,8,3,1,5,6,2] => [3,8,6,7,2,5,4,1] => [7,2,5,6,4,8,3,1] => 0100111
[6,1,5,8,3,7,4,2] => [6,4,7,8,1,5,2,3] => [8,1,5,7,4,2,6,3] => 0010111
[4,8,5,3,7,2,1,6] => [2,7,5,4,8,1,3,6] => [4,8,5,2,1,7,3,6] => 1001011
[7,4,8,6,5,3,2,1] => [2,3,5,6,8,7,4,1] => [7,4,8,6,5,3,2,1] => 1101111
[7,8,3,4,1,5,6,2] => [4,6,8,3,1,5,7,2] => [7,8,3,5,6,1,4,2] => 0010101
[6,4,8,7,3,2,1,5] => [2,3,7,6,1,4,8,5] => [6,3,2,1,8,7,4,5] => 1100111
[2,7,4,8,6,3,1,5] => [3,2,6,8,4,7,1,5] => [2,7,4,8,6,3,1,5] => 0100111
[6,7,1,5,8,3,4,2] => [7,4,8,3,1,6,5,2] => [6,8,3,4,1,5,7,2] => 0010011
[7,3,6,2,8,1,4,5] => [8,6,7,1,4,3,2,5] => [7,1,4,6,3,8,2,5] => 0000111
[7,3,6,2,8,4,1,5] => [4,8,6,7,2,1,3,5] => [7,2,6,1,8,4,3,5] => 0010111
[7,5,1,8,6,4,2,3] => [5,4,1,7,6,8,2,3] => [8,6,4,1,7,5,2,3] => 0011111
[6,5,1,8,4,7,2,3] => [5,6,1,7,8,2,3,4] => [8,1,7,2,3,6,5,4] => 0001111
[4,3,5,8,7,1,2,6] => [7,1,4,3,5,2,8,6] => [4,3,5,8,7,1,2,6] => 0010011
[7,3,6,1,8,4,2,5] => [6,4,8,7,3,2,1,5] => [7,3,8,4,2,6,1,5] => 0010111
[3,5,4,8,2,7,1,6] => [7,8,3,5,4,1,2,6] => [3,5,4,8,1,7,2,6] => 0001011
[4,3,5,8,2,1,6,7] => [2,8,4,3,5,1,6,7] => [4,3,5,8,2,1,6,7] => 1010001
[7,2,8,5,4,6,3,1] => [3,6,7,5,8,4,1,2] => [8,5,4,7,1,6,3,2] => 0101111
[6,5,3,7,2,4,8,1] => [8,7,5,2,6,3,4,1] => [6,5,2,7,3,4,8,1] => 0001111
[6,5,3,8,1,7,4,2] => [8,4,7,5,6,2,1,3] => [6,5,2,7,4,1,8,3] => 0011111
[5,6,4,3,8,1,7,2] => [8,7,4,6,5,3,1,2] => [5,6,4,3,7,1,8,2] => 0010111
[6,2,8,7,5,3,4,1] => [4,6,5,3,7,2,8,1] => [8,7,5,3,6,2,4,1] => 0011111
[6,3,2,8,5,4,7,1] => [7,3,6,5,8,2,4,1] => [8,5,3,2,6,4,7,1] => 0101111
[6,1,7,8,3,2,4,5] => [6,3,8,2,4,1,7,5] => [7,8,3,2,4,6,1,5] => 0100101
[5,1,3,6,2,8,7,4] => [5,6,1,7,3,2,8,4] => [8,7,1,3,6,2,5,4] => 0001111
[7,1,3,6,5,8,4,2] => [7,4,1,8,6,3,5,2] => [6,4,1,3,8,5,7,2] => 0010111
[7,5,3,6,2,8,4,1] => [4,8,6,5,7,1,3,2] => [7,5,1,6,3,8,4,2] => 0011111
[4,6,2,7,8,3,5,1] => [5,6,8,4,3,2,7,1] => [4,7,8,3,6,2,5,1] => 0001101
[5,1,2,4,6,7,8,3] => [5,1,8,2,4,6,7,3] => [6,7,8,1,2,4,5,3] => 0001001
[4,6,3,5,2,8,7,1] => [7,5,6,4,3,2,8,1] => [4,6,3,5,2,8,7,1] => 0001111
[5,6,3,4,8,2,7,1] => [7,8,6,3,5,4,2,1] => [5,6,3,4,8,2,7,1] => 0000111
[5,3,6,4,1,7,8,2] => [4,6,8,5,1,2,7,3] => [5,1,7,8,2,6,4,3] => 0011101
[5,4,3,8,6,2,7,1] => [7,6,4,5,3,8,2,1] => [5,4,3,8,6,2,7,1] => 0011111
[3,7,5,2,4,8,1,6] => [8,5,3,2,7,1,4,6] => [3,7,5,2,8,1,4,6] => 0001011
[6,4,7,3,2,5,8,1] => [8,3,7,6,2,4,5,1] => [6,3,2,7,4,5,8,1] => 0100111
[5,7,3,2,8,4,6,1] => [6,3,7,8,5,4,2,1] => [5,8,4,7,3,2,6,1] => 0100111
[4,3,7,2,5,8,6,1] => [6,8,4,3,1,7,5,2] => [4,3,7,1,5,8,6,2] => 0010111
[4,8,3,5,1,7,6,2] => [5,6,7,4,2,8,1,3] => [4,8,2,7,6,1,5,3] => 0001111
[7,5,3,2,6,4,8,1] => [8,3,5,7,6,4,2,1] => [6,4,7,5,3,2,8,1] => 0101111
[8,4,2,6,3,7,5,1] => [5,4,7,8,6,2,1,3] => [6,2,8,4,1,7,5,3] => 0011111
[7,4,6,2,3,8,5,1] => [5,8,1,6,7,3,4,2] => [7,1,3,6,4,8,5,2] => 0001111
[7,5,6,2,8,3,4,1] => [4,6,8,3,7,5,2,1] => [7,5,8,3,6,2,4,1] => 0010111
[5,7,6,2,8,3,4,1] => [4,6,7,2,5,8,3,1] => [5,8,2,7,6,3,4,1] => 0010111
[6,3,8,5,4,7,2,1] => [2,7,6,5,8,3,4,1] => [8,5,3,6,4,7,2,1] => 1001111
[8,5,4,7,6,2,3,1] => [3,6,2,5,7,8,1,4] => [8,5,2,3,1,7,6,4] => 0101111
[1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => 01000000
[1,4,2,3,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => 00100000
[1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => 010000000
[2,4,6,3,8,7,5,1] => [5,2,7,4,6,1,8,3] => [2,4,6,1,8,7,5,3] => 0001111
[2,4,6,3,8,7,1,5] => [7,2,6,4,1,3,8,5] => [2,4,6,1,8,7,3,5] => 0000111
[2,4,6,8,5,7,1,3] => [7,2,1,4,8,6,5,3] => [2,4,6,8,5,7,1,3] => 0000011
[2,4,6,8,3,7,1,5] => [7,2,8,4,1,6,3,5] => [2,4,6,8,1,7,3,5] => 0000011
[2,4,6,5,1,8,7,3] => [5,2,6,4,7,3,8,1] => [2,4,8,7,3,6,5,1] => 0001111
[2,4,6,5,8,1,7,3] => [8,2,7,4,6,5,1,3] => [2,4,6,5,7,1,8,3] => 0000111
[2,4,6,8,7,3,5,1] => [5,2,7,4,3,6,8,1] => [2,4,6,8,7,3,5,1] => 0001011
[2,4,6,8,5,1,3,7] => [5,2,1,4,8,6,3,7] => [2,4,6,8,5,1,3,7] => 0001001
[2,4,6,5,1,8,3,7] => [5,2,6,4,8,3,1,7] => [2,4,8,3,6,5,1,7] => 0001101
[2,4,6,5,8,3,1,7] => [3,2,8,4,6,5,1,7] => [2,4,6,5,8,3,1,7] => 0100101
[2,4,6,8,5,3,1,7] => [3,2,5,4,8,6,1,7] => [2,4,6,8,5,3,1,7] => 0101001
[2,4,6,8,7,3,1,5] => [3,2,7,4,1,6,8,5] => [2,4,6,8,7,3,1,5] => 0100011
[4,8,7,5,2,1,3,6] => [2,5,1,4,7,3,8,6] => [4,8,7,5,2,1,3,6] => 1001011
[1,8,6,5,3,2,7,4] => [1,3,5,6,8,7,2,4] => [1,7,3,2,8,6,5,4] => 0101111
[5,6,3,1,7,4,8,2] => [3,6,8,7,5,2,4,1] => [5,7,2,8,4,6,3,1] => 0100111
[4,8,3,7,1,6,5,2] => [7,5,6,4,8,1,2,3] => [4,8,1,6,5,2,7,3] => 0001111
[8,7,2,6,5,1,4,3] => [5,6,4,2,7,1,8,3] => [4,2,8,7,1,6,5,3] => 0011111
[6,5,3,8,7,1,4,2] => [7,4,5,1,6,3,8,2] => [6,5,1,4,3,8,7,2] => 0011111
[4,8,2,7,6,5,3,1] => [3,5,6,4,7,8,1,2] => [4,8,1,7,6,5,3,2] => 0101111
[4,8,3,7,2,1,6,5] => [2,7,8,4,6,1,3,5] => [4,6,2,1,8,3,7,5] => 1000111
[8,6,3,1,7,5,4,2] => [3,6,4,5,8,7,1,2] => [7,5,4,1,8,6,3,2] => 0111111
[8,6,3,7,1,5,4,2] => [7,4,5,6,1,8,2,3] => [8,6,1,5,4,2,7,3] => 0011111
[4,8,3,7,6,2,5,1] => [5,6,7,4,3,8,2,1] => [4,8,3,7,6,2,5,1] => 0001111
[5,8,2,7,6,4,1,3] => [4,6,1,7,5,8,2,3] => [5,8,1,7,6,4,2,3] => 0010111
[8,4,2,1,7,6,5,3] => [2,4,8,5,6,7,3,1] => [7,6,5,3,8,4,2,1] => 1011111
[1,6,4,2,5,3,7,8] => [1,4,6,5,3,2,7,8] => [1,5,3,6,4,2,7,8] => 0011100
[1,6,3,2,4,5,7,8] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => 0100100
[1,5,2,6,4,3,7,8] => [1,5,4,6,2,3,7,8] => [1,6,4,2,5,3,7,8] => 0011100
[1,8,6,2,3,7,4,5] => [1,6,2,8,3,7,4,5] => [1,7,2,3,8,6,4,5] => 0000111
[1,4,3,8,2,5,6,7] => [1,8,4,3,2,5,6,7] => [1,4,3,8,2,5,6,7] => 0010001
[1,7,2,3,8,5,4,6] => [1,7,2,5,8,4,3,6] => [1,8,5,4,7,2,3,6] => 0001011
[1,3,8,4,2,5,6,7] => [1,4,3,8,2,5,6,7] => [1,3,8,4,2,5,6,7] => 0010001
[1,6,2,8,5,4,3,7] => [1,6,4,5,8,2,3,7] => [1,8,5,4,2,6,3,7] => 0011101
[1,5,3,8,2,7,4,6] => [1,8,5,7,3,4,2,6] => [1,7,3,5,4,8,2,6] => 0001011
[1,4,6,5,2,8,3,7] => [1,5,6,4,8,3,2,7] => [1,4,8,3,6,5,2,7] => 0001101
[1,4,8,2,5,6,3,7] => [1,8,6,4,2,5,3,7] => [1,4,6,2,5,8,3,7] => 0000101
[1,5,7,3,2,8,4,6] => [1,3,7,8,5,4,2,6] => [1,5,8,4,7,3,2,6] => 0100011
[1,4,8,3,2,5,6,7] => [1,3,8,4,2,5,6,7] => [1,4,8,3,2,5,6,7] => 0100001
[8,2,3,4,5,6,7,9,1] => [9,8,2,3,4,5,6,7,1] => [8,2,3,4,5,6,7,9,1] => 00000011
[9,2,3,4,5,6,7,8,10,1] => [10,9,2,3,4,5,6,7,8,1] => [9,2,3,4,5,6,7,8,10,1] => 000000011
[2,6,4,5,7,3,1,8] => [3,2,7,6,4,5,1,8] => [2,6,4,5,7,3,1,8] => 0100110
[1,3,7,5,6,8,4,2] => [1,4,3,8,7,5,6,2] => [1,3,7,5,6,8,4,2] => 0010011
[1,3,6,7,4,5,8,2] => [1,8,3,7,4,6,5,2] => [1,3,6,7,4,5,8,2] => 0000011
[1,5,6,3,4,7,2,8] => [1,7,6,3,5,4,2,8] => [1,5,6,3,4,7,2,8] => 0000110
[1,7,5,6,8,3,4,2] => [1,4,8,3,7,5,6,2] => [1,7,5,6,8,3,4,2] => 0010011
[1,3,7,5,2,8,6,4] => [1,5,3,7,6,8,4,2] => [1,3,8,6,4,7,5,2] => 0001111
[1,5,3,7,4,6,2,8] => [1,6,5,7,3,4,2,8] => [1,7,3,5,4,6,2,8] => 0001110
[1,5,3,6,7,4,2,8] => [1,4,7,5,2,6,3,8] => [1,5,2,6,7,4,3,8] => 0011010
[1,5,7,6,3,4,8,2] => [1,8,6,3,5,7,4,2] => [1,5,7,6,3,4,8,2] => 0000111
[1,3,7,2,5,6,8,4] => [1,7,3,8,2,5,6,4] => [1,3,8,2,5,6,7,4] => 0000011
[1,3,7,5,6,2,8,4] => [1,6,3,8,7,5,2,4] => [1,3,7,5,8,2,6,4] => 0000111
[4,6,8,3,1,7,2,5] => [3,8,7,4,1,6,2,5] => [4,6,7,1,8,3,2,5] => 0100011
[2,5,7,4,1,3,8,6] => [4,2,1,7,5,8,3,6] => [2,5,8,4,1,3,7,6] => 0010011
[6,7,3,1,8,5,2,4] => [3,7,5,1,8,6,2,4] => [6,8,5,1,7,3,2,4] => 0101011
[6,3,1,5,8,7,2,4] => [3,6,7,1,2,5,8,4] => [8,7,1,5,6,3,2,4] => 0100111
[8,3,5,1,7,6,2,4] => [5,6,7,3,2,8,1,4] => [8,3,7,6,2,5,1,4] => 0001111
[4,6,3,5,8,2,1,7] => [2,8,6,4,3,5,1,7] => [4,6,3,5,8,2,1,7] => 1000101
[3,6,2,5,8,4,1,7] => [4,8,3,6,1,5,2,7] => [3,6,1,5,8,4,2,7] => 0010101
[7,2,4,8,6,3,1,5] => [3,6,8,2,1,7,4,5] => [7,2,8,6,3,1,4,5] => 0100111
[8,2,5,3,1,7,6,4] => [3,5,8,6,1,7,2,4] => [7,6,1,8,3,2,5,4] => 0101111
[8,3,4,6,2,1,7,5] => [2,6,8,3,7,4,1,5] => [7,3,4,8,2,1,6,5] => 1000111
[8,4,5,2,1,7,6,3] => [2,5,6,7,3,8,1,4] => [8,3,7,6,2,1,5,4] => 1001111
[4,7,5,2,1,8,6,3] => [2,5,7,4,6,8,3,1] => [4,8,6,3,7,5,2,1] => 1001111
[4,5,1,8,3,2,7,6] => [5,3,8,4,1,7,2,6] => [4,7,3,1,5,2,8,6] => 0101011
[5,7,4,6,3,2,1,8] => [2,3,6,7,5,4,1,8] => [5,7,4,6,3,2,1,8] => 1100110
[3,6,1,2,4,8,7,5] => [6,1,3,2,7,4,8,5] => [3,8,7,1,2,4,6,5] => 0000111
[5,7,2,3,1,8,6,4] => [3,7,2,6,5,8,1,4] => [5,8,6,2,3,1,7,4] => 0100111
[2,7,3,4,1,8,6,5] => [4,2,7,3,6,8,1,5] => [2,8,6,3,4,1,7,5] => 0010111
[2,6,3,4,1,8,7,5] => [4,2,6,3,7,1,8,5] => [2,8,7,3,4,1,6,5] => 0010111
[7,5,2,3,1,8,6,4] => [3,5,2,7,6,8,4,1] => [8,6,4,7,5,2,3,1] => 0101111
[6,3,1,2,4,8,7,5] => [3,1,6,2,7,4,8,5] => [8,7,3,1,2,4,6,5] => 0100111
[8,2,3,4,1,7,6,5] => [4,8,2,3,6,7,1,5] => [7,6,2,3,4,1,8,5] => 0010111
[3,6,8,4,5,1,2,7] => [5,1,3,8,4,6,2,7] => [3,6,8,4,5,1,2,7] => 0001001
[6,2,7,3,5,4,1,8] => [4,5,6,7,1,3,2,8] => [7,1,6,3,5,4,2,8] => 0011110
[2,3,1,7,8,5,6,4] => [3,2,1,6,8,5,7,4] => [2,3,1,7,8,5,6,4] => 0100101
[7,2,8,5,1,4,3,6] => [5,8,4,2,7,3,1,6] => [4,2,7,3,8,5,1,6] => 0011011
[6,8,7,1,4,3,2,5] => [7,3,4,1,2,6,8,5] => [4,3,1,6,8,7,2,5] => 0110011
[3,7,8,5,1,4,2,6] => [5,4,3,1,8,2,7,6] => [3,4,1,7,8,5,2,6] => 0011001
[4,8,7,3,1,2,5,6] => [3,1,7,4,2,5,8,6] => [4,8,7,3,1,2,5,6] => 0100011
[4,8,6,2,3,1,5,7] => [3,6,2,4,1,8,5,7] => [4,8,6,2,3,1,5,7] => 0100101
[3,8,5,4,2,1,6,7] => [2,4,3,5,8,1,6,7] => [3,8,5,4,2,1,6,7] => 1011001
[4,5,3,8,2,1,6,7] => [2,8,5,4,3,1,6,7] => [4,5,3,8,2,1,6,7] => 1001001
[3,8,2,1,7,6,4,5] => [2,8,3,6,4,7,1,5] => [3,7,6,4,8,2,1,5] => 1000111
[3,5,7,8,2,4,6,1] => [6,8,3,2,5,4,7,1] => [3,5,7,8,2,4,6,1] => 0000101
[7,8,2,5,4,3,6,1] => [6,8,4,5,2,3,7,1] => [5,4,2,7,8,3,6,1] => 0011101
[4,5,3,7,8,2,6,1] => [6,8,5,4,3,2,7,1] => [4,5,3,7,8,2,6,1] => 0001101
[1,5,4,7,3,6,2,8] => [1,6,7,5,4,3,2,8] => [1,5,4,7,3,6,2,8] => 0001110
[1,7,3,6,8,4,5,2] => [1,5,7,8,4,3,6,2] => [1,8,4,6,7,3,5,2] => 0001011
[4,6,8,2,7,3,5,1] => [5,8,7,4,3,6,2,1] => [4,6,7,3,8,2,5,1] => 0001011
[4,7,6,3,5,1,8,2] => [5,8,6,4,3,7,1,2] => [4,7,6,3,8,1,5,2] => 0001111
[7,8,3,6,1,5,4,2] => [6,4,5,8,1,2,7,3] => [7,8,1,5,4,2,6,3] => 0011101
[2,5,7,8,4,6,1,3] => [6,2,1,8,5,4,7,3] => [2,5,7,8,4,6,1,3] => 0000101
[3,7,5,6,2,1,4,8] => [2,6,3,1,7,5,4,8] => [3,7,5,6,2,1,4,8] => 1000110
[1,2,6,4,7,5,3,8] => [1,2,5,7,6,3,4,8] => [1,2,6,3,7,5,4,8] => 0001110
[7,5,6,3,8,4,2,1] => [2,4,8,6,7,5,1,3] => [7,5,6,2,1,8,4,3] => 1010111
[8,5,4,2,1,6,7,3] => [2,4,5,8,7,1,6,3] => [7,2,1,6,8,5,4,3] => 1011011
[2,6,8,4,7,5,1,3] => [5,2,1,7,8,6,3,4] => [2,6,8,1,3,7,5,4] => 0001011
[6,7,5,1,4,8,3,2] => [5,3,7,2,8,6,4,1] => [6,8,3,2,4,7,5,1] => 0101011
[7,4,1,6,5,3,8,2] => [4,7,8,5,6,2,1,3] => [6,5,2,8,1,7,4,3] => 0011111
[7,8,5,3,2,6,1,4] => [6,3,5,1,8,2,7,4] => [7,8,5,3,1,6,2,4] => 0101101
[8,2,5,1,7,6,4,3] => [5,8,4,6,2,7,1,3] => [7,6,4,2,8,1,5,3] => 0011111
[6,7,4,3,8,2,5,1] => [5,8,4,7,2,6,3,1] => [6,7,4,2,8,3,5,1] => 0011011
[3,4,2,7,8,6,1,5] => [6,4,3,2,1,8,7,5] => [3,4,2,7,8,6,1,5] => 0010101
[2,4,7,8,6,1,3,5] => [6,2,1,4,3,8,7,5] => [2,4,7,8,6,1,3,5] => 0000101
[3,7,8,6,5,2,4,1] => [4,5,3,2,6,8,7,1] => [3,7,8,6,5,2,4,1] => 0011101
[4,1,5,6,3,2,7,8] => [4,3,6,1,5,2,7,8] => [5,6,3,1,4,2,7,8] => 0110100
[2,6,7,5,4,1,3,8] => [4,2,1,5,7,6,3,8] => [2,6,7,5,4,1,3,8] => 0011010
[1,7,5,6,4,3,2,8] => [1,3,4,6,7,5,2,8] => [1,7,5,6,4,3,2,8] => 0110110
[7,6,5,3,1,8,4,2] => [3,5,4,6,7,8,2,1] => [8,4,2,7,6,5,3,1] => 0111111
[7,8,6,4,3,1,5,2] => [3,4,6,5,1,8,7,2] => [5,1,7,8,6,4,3,2] => 0111101
[4,5,7,3,8,6,1,2] => [6,1,8,4,5,7,2,3] => [4,5,7,1,2,8,6,3] => 0000111
[6,8,5,3,7,2,1,4] => [2,7,5,1,8,6,3,4] => [6,8,5,2,1,7,3,4] => 1001011
[2,7,5,8,3,6,4,1] => [4,2,6,8,7,1,5,3] => [2,7,1,8,5,6,4,3] => 0010111
[7,4,8,2,6,5,3,1] => [3,5,6,8,7,4,2,1] => [7,4,8,2,6,5,3,1] => 0101111
[7,5,4,8,2,6,3,1] => [3,6,8,5,7,1,4,2] => [7,5,1,8,4,6,3,2] => 0101111
[4,3,8,1,6,5,2,7] => [8,5,4,3,6,1,2,7] => [4,3,6,5,1,8,2,7] => 0011101
[2,3,6,5,7,8,1,4] => [8,2,3,1,6,5,7,4] => [2,3,6,5,7,8,1,4] => 0000101
[8,3,4,1,2,6,7,5] => [4,1,8,3,7,2,6,5] => [7,3,4,1,2,6,8,5] => 0010011
[7,3,4,8,5,2,1,6] => [2,5,8,1,7,3,4,6] => [7,2,1,8,5,3,4,6] => 1001011
[4,8,2,3,5,7,6,1] => [6,7,1,4,3,8,5,2] => [4,8,1,3,5,7,6,2] => 0000111
[4,5,2,3,8,6,7,1] => [7,5,2,4,3,8,6,1] => [4,5,2,3,8,6,7,1] => 0001011
[3,7,6,1,4,2,8,5] => [6,4,3,1,7,8,5,2] => [3,4,1,8,5,7,6,2] => 0010111
[5,6,1,8,7,3,4,2] => [6,4,7,3,5,1,8,2] => [5,8,7,3,4,1,6,2] => 0010111
[3,1,5,6,4,7,8,2] => [3,8,1,6,5,4,7,2] => [5,6,4,7,8,1,3,2] => 0100101
[7,3,1,4,5,8,2,6] => [3,7,8,2,4,1,5,6] => [8,2,4,7,3,1,5,6] => 0100011
[2,4,7,5,8,1,3,6] => [8,2,1,4,7,3,5,6] => [2,4,7,1,3,8,5,6] => 0000011
[6,1,8,7,3,4,5,2] => [6,5,7,3,4,1,8,2] => [8,7,3,4,5,1,6,2] => 0001111
[4,2,6,1,3,7,8,5] => [6,4,1,2,8,3,7,5] => [4,1,7,8,2,3,6,5] => 0010101
[8,4,6,1,2,5,7,3] => [6,1,7,8,2,4,5,3] => [8,1,2,7,4,5,6,3] => 0000111
[3,7,8,4,2,6,5,1] => [5,4,3,6,8,1,7,2] => [3,7,8,4,1,6,5,2] => 0011101
[8,5,1,4,2,6,7,3] => [5,4,8,3,7,2,6,1] => [7,3,4,2,6,8,5,1] => 0011011
[3,5,1,8,6,7,2,4] => [5,7,3,2,1,8,6,4] => [3,8,6,7,2,5,1,4] => 0001011
[7,8,1,4,3,5,6,2] => [8,6,4,1,3,5,7,2] => [4,1,6,3,5,7,8,2] => 0010101
[2,6,7,8,3,5,1,4] => [5,2,8,1,3,6,7,4] => [2,6,7,8,1,5,3,4] => 0001001
[3,6,7,2,8,1,5,4] => [8,7,3,5,1,6,2,4] => [3,5,1,6,7,2,8,4] => 0001011
[2,6,7,1,3,5,8,4] => [7,2,1,8,3,6,5,4] => [2,6,8,1,3,5,7,4] => 0000011
[3,6,7,1,2,8,5,4] => [7,1,3,5,8,6,2,4] => [3,6,8,5,1,2,7,4] => 0001011
[3,6,7,1,8,2,5,4] => [7,8,3,5,2,6,1,4] => [3,5,2,6,8,1,7,4] => 0001011
[3,1,5,7,8,2,6,4] => [3,8,1,6,5,2,7,4] => [5,6,1,3,2,7,8,4] => 0100101
[3,8,1,4,7,2,6,5] => [8,7,3,1,6,2,4,5] => [3,6,1,7,2,4,8,5] => 0000111
[4,8,1,3,2,7,6,5] => [8,3,1,4,6,7,2,5] => [3,1,4,7,6,2,8,5] => 0100111
[4,1,8,3,2,7,6,5] => [4,3,8,1,6,7,2,5] => [7,6,3,1,4,2,8,5] => 0110111
[4,1,3,8,2,7,6,5] => [4,8,1,3,6,7,2,5] => [7,6,1,3,4,2,8,5] => 0010111
[4,3,1,8,2,7,6,5] => [3,4,8,2,6,7,1,5] => [7,6,2,4,3,1,8,5] => 0110111
[4,3,8,1,2,7,6,5] => [8,1,4,3,6,7,2,5] => [4,3,7,6,1,2,8,5] => 0010111
[3,2,5,7,1,8,6,4] => [7,3,2,6,5,8,1,4] => [3,2,5,8,6,1,7,4] => 0100111
[2,3,5,7,1,6,8,4] => [7,2,3,8,5,1,6,4] => [2,3,5,8,1,6,7,4] => 0000011
[4,2,3,8,1,7,6,5] => [8,4,2,3,6,7,1,5] => [4,2,3,7,6,1,8,5] => 0010111
[4,8,2,3,1,7,6,5] => [3,8,2,4,6,7,1,5] => [4,7,6,2,3,1,8,5] => 0100111
[4,8,2,1,3,7,6,5] => [2,8,1,4,6,7,3,5] => [4,7,6,2,1,3,8,5] => 1000111
[4,2,8,1,3,7,6,5] => [8,4,1,2,6,7,3,5] => [4,1,7,6,2,3,8,5] => 0010111
[2,3,4,6,8,7,1,5] => [7,2,3,4,1,6,8,5] => [2,3,4,6,8,7,1,5] => 0000011
[5,6,4,7,1,2,8,3] => [7,1,8,6,5,4,2,3] => [5,6,4,8,1,2,7,3] => 0000111
[4,6,7,5,8,2,3,1] => [3,8,2,4,7,6,5,1] => [4,6,7,5,8,2,3,1] => 0100011
[4,5,7,1,6,8,3,2] => [7,3,8,4,5,1,6,2] => [4,5,8,3,1,6,7,2] => 0100011
[3,2,7,6,8,1,4,5] => [8,3,2,1,4,7,6,5] => [3,2,7,6,8,1,4,5] => 0100011
[6,1,3,5,7,8,4,2] => [6,4,1,8,3,5,7,2] => [7,8,4,1,3,5,6,2] => 0010101
[4,5,1,7,6,8,2,3] => [5,8,2,4,1,7,6,3] => [4,7,6,8,2,5,1,3] => 0001011
[6,2,5,7,1,3,8,4] => [7,6,1,8,2,5,3,4] => [8,1,5,6,2,3,7,4] => 0000111
[7,6,1,5,2,8,4,3] => [6,5,4,7,3,8,2,1] => [8,4,3,5,2,7,6,1] => 0011111
[7,2,8,3,1,6,5,4] => [3,8,7,5,6,2,1,4] => [6,5,2,7,3,1,8,4] => 0101111
[3,1,7,6,2,8,4,5] => [3,6,1,7,2,8,4,5] => [8,1,3,2,7,6,4,5] => 0100111
[7,6,3,1,2,8,4,5] => [3,1,6,7,2,8,4,5] => [8,3,1,2,7,6,4,5] => 0100111
[4,1,8,3,6,7,2,5] => [4,7,8,1,2,3,6,5] => [8,1,6,7,2,4,3,5] => 0010011
[6,3,7,8,4,1,2,5] => [4,1,8,6,3,2,7,5] => [6,3,7,8,4,1,2,5] => 0010101
[6,2,3,7,8,4,1,5] => [4,8,1,6,2,3,7,5] => [6,1,7,8,4,2,3,5] => 0010101
[7,6,2,3,1,8,4,5] => [3,6,2,7,1,8,4,5] => [8,2,3,1,7,6,4,5] => 0100111
[4,2,5,1,3,7,8,6] => [5,4,1,2,3,8,7,6] => [4,1,5,2,3,7,8,6] => 0011001
[3,4,1,7,8,5,2,6] => [4,5,3,1,8,2,7,6] => [3,7,8,5,1,4,2,6] => 0011001
[4,1,3,7,8,5,2,6] => [4,5,1,3,8,2,7,6] => [7,8,5,1,3,4,2,6] => 0011001
[8,5,3,1,4,2,7,6] => [3,5,4,2,8,7,1,6] => [4,2,7,5,3,1,8,6] => 0111011
[3,1,8,5,4,2,7,6] => [3,4,1,5,8,7,2,6] => [7,5,4,1,3,2,8,6] => 0111011
[7,6,3,5,8,4,2,1] => [2,4,8,6,1,7,5,3] => [7,6,2,1,5,8,4,3] => 1010111
[4,5,1,3,2,7,8,6] => [5,3,1,4,2,8,7,6] => [3,1,4,5,2,7,8,6] => 0101001
[5,1,3,2,4,7,8,6] => [5,3,1,2,4,8,7,6] => [3,1,5,2,4,7,8,6] => 0101001
[8,5,4,2,3,1,7,6] => [3,4,2,5,8,7,1,6] => [7,5,4,2,3,1,8,6] => 0111011
[2,3,7,8,5,4,1,6] => [4,2,3,5,8,1,7,6] => [2,3,7,8,5,4,1,6] => 0011001
[4,5,8,1,2,6,7,3] => [8,1,7,4,5,2,6,3] => [4,5,7,1,2,6,8,3] => 0000011
[1,3,4,8,6,2,7,5] => [1,6,3,4,8,7,5,2] => [1,3,4,7,5,8,6,2] => 0000111
[8,4,5,2,6,1,7,3] => [6,5,7,8,4,2,1,3] => [8,4,7,2,5,1,6,3] => 0001111
[2,6,7,3,8,1,4,5] => [8,2,7,1,4,6,3,5] => [2,6,7,1,4,8,3,5] => 0000011
[2,8,6,3,1,7,4,5] => [3,2,6,8,1,7,4,5] => [2,7,3,1,8,6,4,5] => 0100111
[5,6,1,4,2,8,7,3] => [6,4,7,1,5,2,8,3] => [5,8,7,1,4,2,6,3] => 0010111
[4,5,8,1,3,2,7,6] => [8,3,1,4,5,7,2,6] => [3,1,4,5,7,2,8,6] => 0100011
[4,6,8,2,3,7,5,1] => [5,7,1,4,8,6,3,2] => [4,6,8,1,3,7,5,2] => 0001011
[4,5,7,2,3,6,1,8] => [6,7,2,4,5,3,1,8] => [4,5,7,2,3,6,1,8] => 0000110
[5,8,2,1,3,7,4,6] => [2,8,1,7,5,4,3,6] => [5,7,4,8,2,1,3,6] => 1000011
[2,7,3,4,1,5,6,8] => [4,2,7,3,1,5,6,8] => [2,7,3,4,1,5,6,8] => 0010010
[6,7,2,3,4,8,1,5] => [8,7,2,3,1,6,4,5] => [6,7,2,3,8,1,4,5] => 0000011
[7,4,2,1,3,5,8,6] => [2,4,1,7,3,8,5,6] => [8,4,2,1,3,5,7,6] => 1010011
[2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9] => 01010000
[2,8,7,4,5,1,6,3] => [5,2,6,7,4,1,8,3] => [2,8,7,4,6,1,5,3] => 0001111
[1,3,8,5,2,6,7,4] => [1,5,3,8,7,4,6,2] => [1,3,7,4,6,8,5,2] => 0001011
[7,2,8,4,5,1,6,3] => [5,7,6,8,4,1,2,3] => [8,4,6,1,7,2,5,3] => 0001111
[3,1,8,5,2,6,7,4] => [3,5,1,8,7,4,6,2] => [7,4,6,8,5,1,3,2] => 0101011
[1,2,8,5,3,6,7,4] => [1,2,5,8,7,4,6,3] => [1,2,7,4,6,8,5,3] => 0001011
[5,4,8,2,1,6,7,3] => [2,8,7,5,4,1,6,3] => [5,4,7,2,1,6,8,3] => 1001011
[6,2,3,5,1,7,8,4] => [5,6,2,8,3,1,7,4] => [7,8,2,3,6,1,5,4] => 0001101
[8,6,2,4,1,5,7,3] => [4,6,8,3,1,7,5,2] => [7,3,5,8,6,1,4,2] => 0010111
[8,5,3,2,1,6,7,4] => [2,3,5,8,7,4,6,1] => [7,4,6,8,5,3,2,1] => 1101011
[1,7,5,2,3,6,8,4] => [1,5,2,7,8,4,6,3] => [1,8,4,6,7,5,2,3] => 0001011
[2,8,1,5,3,6,7,4] => [8,2,5,7,1,3,6,4] => [2,7,1,5,3,6,8,4] => 0001011
[3,8,1,5,2,6,7,4] => [8,5,3,7,1,2,6,4] => [3,7,1,5,2,6,8,4] => 0001011
[8,1,2,5,3,6,7,4] => [8,1,5,7,2,3,6,4] => [7,1,2,5,3,6,8,4] => 0001011
[8,4,1,6,3,7,2,5] => [4,8,7,6,3,2,1,5] => [6,3,7,2,8,4,1,5] => 0010111
[6,5,2,1,4,8,7,3] => [2,5,6,3,7,4,8,1] => [8,7,3,4,6,5,2,1] => 1001111
[5,2,6,8,3,7,1,4] => [7,5,8,1,2,6,3,4] => [6,8,1,5,2,7,3,4] => 0001011
[5,4,6,1,7,2,3,8] => [6,7,2,5,4,1,3,8] => [5,4,7,2,6,1,3,8] => 0001110
[3,7,2,4,1,8,6,5] => [4,7,3,2,6,8,1,5] => [3,8,6,2,4,1,7,5] => 0010111
[3,7,2,4,1,5,8,6] => [4,7,3,2,1,8,5,6] => [3,8,2,4,1,5,7,6] => 0010011
[7,8,3,4,1,2,6,5] => [4,1,8,3,6,2,7,5] => [6,3,4,1,2,7,8,5] => 0010101
[2,7,6,5,3,8,4,1] => [4,2,8,5,6,7,1,3] => [2,7,6,5,1,8,4,3] => 0011111
[3,1,7,4,5,6,2,8] => [3,6,1,7,4,5,2,8] => [7,4,5,6,1,3,2,8] => 0100110
[1,7,3,4,8,2,6,5] => [1,8,7,3,6,2,4,5] => [1,6,3,7,2,4,8,5] => 0000111
[2,4,8,3,5,7,1,6] => [7,2,8,4,3,1,5,6] => [2,4,8,3,7,1,5,6] => 0000011
[1,3,8,2,4,7,5,6] => [1,8,3,2,7,5,4,6] => [1,3,7,5,8,2,4,6] => 0000011
[1,7,3,2,4,6,5,8] => [1,3,7,2,6,4,5,8] => [1,6,3,2,4,7,5,8] => 0100110
[1,8,3,7,4,2,5,6] => [1,4,7,8,3,5,2,6] => [1,8,3,5,7,4,2,6] => 0010011
[8,7,3,1,4,2,5,6] => [3,7,4,2,1,5,8,6] => [4,2,8,7,3,1,5,6] => 0110011
[2,8,4,3,5,7,1,6] => [7,2,4,8,3,1,5,6] => [2,8,4,3,7,1,5,6] => 0010011
[3,2,8,7,4,1,5,6] => [4,3,2,7,1,5,8,6] => [3,2,8,7,4,1,5,6] => 0110011
[3,2,6,5,1,7,8,4] => [5,3,2,6,8,4,7,1] => [3,2,7,8,4,6,5,1] => 0101101
[5,3,2,6,7,1,8,4] => [7,3,5,8,2,6,1,4] => [6,8,3,2,5,1,7,4] => 0101011
[8,4,6,2,7,3,1,5] => [3,7,6,8,2,4,1,5] => [8,2,6,4,7,3,1,5] => 0100111
[4,3,6,2,8,7,1,5] => [7,6,4,3,1,2,8,5] => [4,3,6,1,8,7,2,5] => 0010111
[7,8,4,2,6,3,5,1] => [5,4,8,6,2,3,7,1] => [6,2,7,8,4,3,5,1] => 0011101
[3,2,7,8,6,4,5,1] => [5,3,2,6,4,8,7,1] => [3,2,7,8,6,4,5,1] => 0101101
[6,5,4,2,1,7,8,3] => [2,4,5,6,8,1,7,3] => [7,8,2,1,6,5,4,3] => 1011101
[5,4,2,1,7,6,3,8] => [2,4,5,6,3,7,1,8] => [7,6,3,5,4,2,1,8] => 1011110
[5,4,1,6,7,2,8,3] => [4,5,7,8,2,6,3,1] => [6,8,2,7,3,5,4,1] => 0011011
[6,8,5,3,1,7,2,4] => [3,5,8,2,7,6,1,4] => [6,7,2,8,5,3,1,4] => 0101011
[5,2,6,3,8,7,1,4] => [7,5,6,1,2,3,8,4] => [6,1,5,2,8,7,3,4] => 0001111
[8,6,1,7,3,4,2,5] => [6,4,8,1,2,7,3,5] => [7,1,4,2,8,6,3,5] => 0010111
[6,1,4,8,2,7,3,5] => [6,8,7,1,3,4,2,5] => [7,1,8,3,4,6,2,5] => 0000111
[7,1,5,6,8,2,4,3] => [7,8,4,2,1,5,6,3] => [4,2,8,1,5,6,7,3] => 0010011
[6,7,1,5,2,4,8,3] => [7,5,8,2,1,6,4,3] => [6,8,2,5,1,4,7,3] => 0001011
[1,8,7,6,4,5,2,3] => [1,5,2,6,4,7,8,3] => [1,8,7,6,4,5,2,3] => 0001111
[8,2,7,4,6,5,1,3] => [5,6,2,8,7,1,4,3] => [7,2,8,4,6,5,1,3] => 0001111
[2,8,5,7,6,4,1,3] => [4,2,1,6,7,8,3,5] => [2,8,4,1,3,7,6,5] => 0010111
[4,1,7,5,6,8,3,2] => [4,3,8,1,7,5,6,2] => [7,5,6,8,3,1,4,2] => 0110011
[5,6,7,4,3,1,8,2] => [3,4,7,8,5,6,1,2] => [5,6,8,1,7,4,3,2] => 0110011
[6,7,8,5,3,1,4,2] => [3,5,4,2,8,6,7,1] => [4,2,6,7,8,5,3,1] => 0111001
[1,6,3,2,5,4,7,8] => [1,3,6,5,2,4,7,8] => [1,5,3,2,6,4,7,8] => 0101100
[1,5,4,2,6,3,7,8] => [1,4,5,6,3,2,7,8] => [1,6,3,5,4,2,7,8] => 0011100
[1,2,6,4,3,5,7,8] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => 0010100
[1,6,8,2,7,5,4,3] => [1,8,4,5,7,6,2,3] => [1,6,7,5,4,2,8,3] => 0011011
[1,7,4,3,2,6,8,5] => [1,3,4,7,8,2,6,5] => [1,8,4,3,2,6,7,5] => 0110011
[1,5,4,7,2,6,8,3] => [1,7,8,5,4,2,6,3] => [1,5,4,8,2,6,7,3] => 0001011
[1,3,7,6,2,8,5,4] => [1,6,3,5,7,8,4,2] => [1,3,8,5,4,7,6,2] => 0001111
[1,7,6,2,8,4,3,5] => [1,6,4,7,2,8,3,5] => [1,8,4,2,7,6,3,5] => 0010111
[1,5,2,8,4,3,7,6] => [1,5,4,8,2,7,3,6] => [1,7,4,2,5,3,8,6] => 0011011
[1,2,8,4,3,6,5,7] => [1,2,4,8,6,3,5,7] => [1,2,6,4,3,8,5,7] => 0010101
[1,2,8,5,6,3,4,7] => [1,2,6,3,8,5,4,7] => [1,2,8,5,6,3,4,7] => 0000101
[1,6,7,2,5,8,4,3] => [1,7,4,8,2,6,5,3] => [1,6,8,4,2,5,7,3] => 0010011
[1,5,8,3,2,7,4,6] => [1,3,8,7,5,4,2,6] => [1,5,7,4,8,3,2,6] => 0100011
[1,4,5,8,2,6,3,7] => [1,8,6,4,5,2,3,7] => [1,4,5,6,2,8,3,7] => 0000101
[1,7,6,4,8,2,5,3] => [1,8,5,6,2,7,4,3] => [1,7,6,2,5,4,8,3] => 0001111
[1,3,8,2,6,5,4,7] => [1,8,3,5,6,2,4,7] => [1,3,6,5,2,8,4,7] => 0001101
[1,7,6,3,8,2,4,5] => [1,8,6,2,4,7,3,5] => [1,7,6,2,4,8,3,5] => 0000111
[1,5,2,7,6,4,8,3] => [1,5,8,6,2,7,4,3] => [1,7,6,2,8,4,5,3] => 0001111
[1,2,4,3,8,7,5,6] => [1,2,4,3,7,5,8,6] => [1,2,4,3,8,7,5,6] => 0010011
[1,4,3,8,7,2,5,6] => [1,7,4,3,2,5,8,6] => [1,4,3,8,7,2,5,6] => 0010011
[1,3,8,5,4,2,6,7] => [1,4,3,5,8,2,6,7] => [1,3,8,5,4,2,6,7] => 0011001
[1,7,2,4,8,6,5,3] => [1,7,5,2,6,8,4,3] => [1,8,6,5,2,4,7,3] => 0001111
[1,6,5,3,2,8,7,4] => [1,3,5,6,7,4,8,2] => [1,8,7,4,6,5,3,2] => 0101111
[1,3,2,8,7,5,4,6] => [1,3,2,5,7,4,8,6] => [1,3,2,8,7,5,4,6] => 0101011
[1,2,8,6,5,4,3,7] => [1,2,4,5,6,8,3,7] => [1,2,8,6,5,4,3,7] => 0011101
[8,1,3,4,6,5,2,7] => [8,5,1,3,6,4,2,7] => [6,5,1,3,4,8,2,7] => 0001101
[8,5,1,4,2,6,3,7] => [5,4,8,3,6,2,1,7] => [6,3,4,2,8,5,1,7] => 0011101
[8,4,1,3,5,6,2,7] => [4,8,2,6,3,5,1,7] => [6,2,3,5,8,4,1,7] => 0010101
[4,8,7,1,5,2,6,3] => [7,5,6,4,1,2,8,3] => [4,6,1,5,2,8,7,3] => 0001111
[4,8,7,1,5,2,3,6] => [7,5,2,4,1,3,8,6] => [4,5,2,8,7,1,3,6] => 0001011
[3,8,7,5,4,1,2,6] => [4,1,3,5,7,2,8,6] => [3,8,7,5,4,1,2,6] => 0011011
[7,6,8,4,1,5,2,3] => [4,8,1,5,2,7,6,3] => [5,1,7,6,8,4,2,3] => 0011011
[8,7,6,1,5,2,3,4] => [6,5,2,3,1,7,8,4] => [5,2,3,8,7,6,1,4] => 0001111
[7,1,4,8,6,3,5,2] => [7,5,6,1,3,8,4,2] => [8,6,1,5,3,4,7,2] => 0001111
[8,6,2,5,3,4,7,1] => [7,6,5,3,2,8,4,1] => [5,3,8,6,2,4,7,1] => 0001111
[8,7,5,1,3,6,2,4] => [5,7,2,1,6,3,8,4] => [6,2,8,7,5,1,3,4] => 0001111
[8,6,1,3,5,4,7,2] => [6,8,2,5,3,7,4,1] => [5,2,3,7,4,8,6,1] => 0001111
[8,4,2,5,3,7,6,1] => [6,4,7,5,1,8,2,3] => [5,1,8,4,2,7,6,3] => 0011111
[7,4,8,2,6,3,5,1] => [5,8,6,7,3,2,4,1] => [7,3,6,2,8,4,5,1] => 0001111
[8,7,3,1,6,4,5,2] => [3,7,5,6,4,2,8,1] => [6,4,5,2,8,7,3,1] => 0101111
[6,4,1,7,8,5,3,2] => [4,3,6,5,8,2,7,1] => [7,8,5,3,2,6,4,1] => 0111101
[7,6,3,4,1,8,5,2] => [4,5,8,2,6,7,1,3] => [7,6,2,8,5,1,4,3] => 0011111
[8,7,3,1,6,2,5,4] => [3,7,6,5,1,2,8,4] => [5,1,6,3,2,8,7,4] => 0101111
[7,8,2,4,6,5,1,3] => [5,6,2,1,8,4,7,3] => [7,8,2,4,6,5,1,3] => 0001101
[8,7,5,2,4,6,1,3] => [6,5,1,2,7,4,8,3] => [8,7,5,1,4,6,2,3] => 0001111
[8,1,7,5,4,6,2,3] => [8,6,2,5,7,4,1,3] => [7,5,4,6,2,8,1,3] => 0001111
[5,3,1,7,6,4,2,8] => [3,5,4,6,2,7,1,8] => [7,6,4,2,5,3,1,8] => 0111110
[7,5,3,2,1,6,4,8] => [2,3,5,7,6,4,1,8] => [6,4,7,5,3,2,1,8] => 1101110
[7,6,5,3,1,4,2,8] => [3,5,4,2,6,7,1,8] => [4,2,7,6,5,3,1,8] => 0111110
[1,4,8,6,7,5,3,2] => [1,3,5,4,7,8,6,2] => [1,4,8,6,7,5,3,2] => 0101011
[7,3,8,5,6,4,2,1] => [2,4,6,7,8,5,1,3] => [8,5,7,2,1,6,4,3] => 1010111
[1,7,3,6,8,5,4,2] => [1,4,5,8,7,3,6,2] => [1,7,3,6,8,5,4,2] => 0011011
[7,1,3,6,8,5,4,2] => [7,4,1,5,8,3,6,2] => [8,5,4,1,3,6,7,2] => 0011011
[1,8,3,6,7,5,4,2] => [1,4,5,7,8,3,6,2] => [1,8,3,6,7,5,4,2] => 0011011
[7,2,8,6,4,5,3,1] => [3,5,7,6,4,8,1,2] => [8,6,4,7,1,5,3,2] => 0101111
[1,6,2,5,4,3,7,8] => [1,6,4,5,2,3,7,8] => [1,5,4,2,6,3,7,8] => 0011100
[1,7,2,8,4,3,6,5] => [1,7,4,8,6,3,2,5] => [1,6,4,3,8,2,7,5] => 0010111
[1,7,2,5,4,6,3,8] => [1,7,6,5,2,4,3,8] => [1,5,2,6,4,7,3,8] => 0001110
[1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => [1,2,7,5,8,3,4,6] => 0000011
[6,5,7,2,3,1,8,4] => [3,7,2,8,6,5,1,4] => [6,5,8,2,3,1,7,4] => 0100111
[6,5,7,2,8,3,4,1] => [4,7,8,3,6,5,2,1] => [6,5,8,3,7,2,4,1] => 0010111
[6,5,7,2,8,1,4,3] => [8,7,4,1,6,5,2,3] => [4,1,6,5,7,2,8,3] => 0010111
[6,2,7,5,8,1,4,3] => [8,6,4,1,7,2,5,3] => [4,1,7,2,6,5,8,3] => 0010111
[6,7,3,5,8,1,4,2] => [8,4,7,1,3,6,5,2] => [6,7,1,4,3,5,8,2] => 0010011
[6,3,7,5,8,1,4,2] => [8,4,6,1,7,3,5,2] => [7,1,4,3,6,5,8,2] => 0010111
[6,5,7,3,8,1,4,2] => [8,4,7,1,6,5,3,2] => [6,5,7,1,4,3,8,2] => 0010111
[8,7,6,4,2,5,3,1] => [3,5,4,6,1,7,8,2] => [8,7,6,4,1,5,3,2] => 0111111
[4,8,7,1,6,3,5,2] => [7,5,6,4,3,1,8,2] => [4,6,3,5,1,8,7,2] => 0001111
[5,6,4,2,1,8,7,3] => [2,4,6,7,5,3,8,1] => [5,8,7,3,6,4,2,1] => 1010111
[2,7,6,8,3,5,1,4] => [5,2,8,1,3,7,6,4] => [2,7,6,8,1,5,3,4] => 0001011
[5,2,1,3,6,8,4,7] => [2,5,1,8,3,6,4,7] => [6,8,2,1,3,5,4,7] => 1001001
[3,2,7,1,6,8,5,4] => [7,3,2,5,8,1,6,4] => [3,2,8,5,1,6,7,4] => 0101011
[5,8,2,7,6,1,3,4] => [6,7,2,3,5,8,1,4] => [5,8,2,3,7,6,1,4] => 0000111
[8,6,7,1,3,5,2,4] => [7,5,1,2,3,8,6,4] => [5,1,8,6,7,2,3,4] => 0001011
[6,2,7,1,4,8,3,5] => [7,6,8,1,3,2,4,5] => [8,1,6,3,7,2,4,5] => 0000111
[8,2,3,6,7,1,4,5] => [7,8,2,1,4,3,6,5] => [8,2,4,6,7,1,3,5] => 0000011
[8,2,3,1,4,7,5,6] => [3,8,2,1,7,5,4,6] => [7,5,8,2,3,1,4,6] => 0100011
[8,6,5,4,3,2,1,7,9] => [2,3,4,5,6,8,1,7,9] => [8,6,5,4,3,2,1,7,9] => 11111010
[3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => 010000000
[2,4,8,7,5,3,1,6] => [3,2,5,4,7,1,8,6] => [2,4,8,7,5,3,1,6] => 0101011
[2,6,8,7,5,3,4,1] => [4,2,5,3,7,6,8,1] => [2,6,8,7,5,3,4,1] => 0011011
[2,6,5,1,4,3,8,7] => [5,2,4,1,6,3,8,7] => [2,4,1,6,5,3,8,7] => 0011101
[6,5,1,2,4,3,8,7] => [5,1,4,2,6,3,8,7] => [4,1,2,6,5,3,8,7] => 0011101
[4,6,5,3,1,2,8,7] => [3,1,5,4,6,2,8,7] => [4,6,5,3,1,2,8,7] => 0101101
[4,8,7,5,3,1,2,6] => [3,1,5,4,7,2,8,6] => [4,8,7,5,3,1,2,6] => 0101011
[4,6,8,7,5,3,1,2] => [3,1,5,4,7,6,8,2] => [4,6,8,7,5,3,1,2] => 0101011
[6,8,7,5,3,1,4,2] => [3,5,4,2,7,6,8,1] => [4,2,6,8,7,5,3,1] => 0111011
[8,7,3,4,6,5,1,2] => [5,1,6,2,7,4,8,3] => [8,7,1,2,4,6,5,3] => 0001111
[2,1,4,8,7,3,6,5] => [2,1,7,4,6,3,8,5] => [2,1,4,6,3,8,7,5] => 1000111
[4,8,7,3,1,2,6,5] => [3,1,7,4,6,2,8,5] => [4,6,3,1,2,8,7,5] => 0100111
[8,7,3,4,1,2,6,5] => [4,1,7,3,6,2,8,5] => [6,3,4,1,2,8,7,5] => 0010111
[8,7,3,2,6,5,1,4] => [5,3,6,2,7,1,8,4] => [8,7,3,2,6,5,1,4] => 0101111
[2,8,7,3,4,6,5,1] => [5,2,6,1,7,4,8,3] => [2,8,7,1,4,6,5,3] => 0001111
[2,8,7,3,6,5,1,4] => [5,2,6,3,7,1,8,4] => [2,8,7,3,6,5,1,4] => 0001111
[8,7,1,2,6,5,3,4] => [7,1,5,3,6,2,8,4] => [6,5,3,8,7,1,2,4] => 0001111
[8,7,1,2,4,3,6,5] => [7,1,4,2,6,3,8,5] => [4,1,2,6,3,8,7,5] => 0010111
[2,1,8,7,3,4,6,5] => [2,1,7,3,6,4,8,5] => [2,1,6,3,4,8,7,5] => 1000111
[8,7,5,1,2,4,3,6] => [5,1,4,2,7,3,8,6] => [4,1,2,8,7,5,3,6] => 0011011
[2,8,7,1,4,3,6,5] => [7,2,4,1,6,3,8,5] => [2,4,1,6,3,8,7,5] => 0010111
[2,8,7,5,6,3,4,1] => [4,2,6,3,7,5,8,1] => [2,8,7,5,6,3,4,1] => 0010111
[2,4,8,7,3,1,6,5] => [3,2,7,4,6,1,8,5] => [2,4,6,3,1,8,7,5] => 0100111
[2,8,7,3,1,4,6,5] => [3,2,7,1,6,4,8,5] => [2,6,3,1,4,8,7,5] => 0100111
[2,4,3,1,8,7,5,6] => [3,2,4,1,7,5,8,6] => [2,4,3,1,8,7,5,6] => 0110011
[4,3,1,2,6,8,7,5] => [3,1,4,2,7,6,8,5] => [4,3,1,2,6,8,7,5] => 0110011
[2,8,7,5,6,3,1,4] => [3,2,6,1,7,5,8,4] => [2,8,7,5,6,3,1,4] => 0100111
[2,8,7,5,3,1,6,4] => [3,2,5,7,6,4,8,1] => [2,6,4,8,7,5,3,1] => 0101111
[2,8,7,5,3,6,4,1] => [4,2,6,5,7,1,8,3] => [2,8,7,5,1,6,4,3] => 0011111
[2,6,8,7,5,1,4,3] => [5,2,4,1,7,6,8,3] => [2,4,1,6,8,7,5,3] => 0011011
[6,8,7,5,1,2,4,3] => [5,1,4,2,7,6,8,3] => [4,1,2,6,8,7,5,3] => 0011011
[8,7,5,6,1,2,4,3] => [6,1,4,2,7,5,8,3] => [4,1,2,8,7,5,6,3] => 0010111
[2,4,8,7,3,6,5,1] => [5,2,6,4,7,1,8,3] => [2,4,8,7,1,6,5,3] => 0001111
[8,7,2,4,3,6,5,1] => [5,6,4,1,7,3,8,2] => [4,1,8,7,3,6,5,2] => 0011111
[8,7,5,3,6,4,1,2] => [4,1,6,5,7,2,8,3] => [8,7,5,1,2,6,4,3] => 0011111
[8,7,1,4,3,6,5,2] => [7,5,4,1,6,3,8,2] => [4,1,6,5,3,8,7,2] => 0011111
[8,7,3,4,1,6,5,2] => [4,5,6,2,7,1,8,3] => [8,7,2,6,5,1,4,3] => 0011111
[7,1,2,3,5,4,6,8] => [7,1,2,5,3,4,6,8] => [5,1,2,3,7,4,6,8] => 0001010
[7,1,2,6,4,5,3,8] => [7,1,5,6,4,2,3,8] => [6,4,5,1,2,7,3,8] => 0001110
[7,1,2,4,3,5,6,8] => [7,1,4,2,3,5,6,8] => [4,1,2,7,3,5,6,8] => 0010010
[5,2,6,3,7,1,4,8] => [7,5,6,1,2,3,4,8] => [6,1,5,2,7,3,4,8] => 0001110
[6,5,4,1,3,8,7,2] => [4,5,1,6,7,3,8,2] => [8,7,1,3,6,5,4,2] => 0011111
[3,1,6,8,5,7,2,4] => [3,7,1,2,8,6,5,4] => [6,8,5,7,1,3,2,4] => 0100011
[4,6,1,8,2,5,7,3] => [6,8,7,4,2,1,5,3] => [4,7,2,8,1,5,6,3] => 0000111
[2,5,6,1,8,4,7,3] => [6,2,7,8,5,1,4,3] => [2,5,8,1,7,4,6,3] => 0000111
[2,6,5,1,8,4,7,3] => [5,2,6,7,8,3,1,4] => [2,8,3,7,1,6,5,4] => 0001111
[7,5,4,1,2,8,6,3] => [4,1,5,7,6,8,2,3] => [8,6,1,2,7,5,4,3] => 0011111
[5,7,2,1,8,4,6,3] => [2,7,6,8,5,4,1,3] => [5,8,4,6,2,1,7,3] => 1000111
[7,2,8,6,4,3,1,5] => [3,4,6,8,2,7,1,5] => [7,2,8,6,4,3,1,5] => 0110111
[7,6,3,2,8,4,1,5] => [4,3,8,6,2,7,1,5] => [7,6,3,2,8,4,1,5] => 0110111
[8,6,1,3,2,4,5,7] => [6,3,1,2,4,8,5,7] => [3,1,8,6,2,4,5,7] => 0100101
[5,8,3,7,4,2,1,6] => [2,4,7,8,5,3,1,6] => [5,8,3,7,4,2,1,6] => 1010011
[8,4,7,3,5,2,1,6] => [2,5,7,8,3,1,4,6] => [8,3,7,2,1,5,4,6] => 1001011
[8,1,3,5,2,4,6,7] => [8,5,1,2,3,4,6,7] => [5,1,8,2,3,4,6,7] => 0001001
[1,8,3,5,7,2,4,6] => [1,7,8,2,3,4,5,6] => [1,8,2,7,3,4,5,6] => 0000011
[5,3,7,1,2,8,6,4] => [7,1,5,6,3,8,2,4] => [8,6,3,5,1,2,7,4] => 0001111
[8,1,4,2,7,6,3,5] => [8,4,6,1,3,7,2,5] => [7,6,1,4,3,8,2,5] => 0010111
[1,3,4,7,6,8,2,5] => [1,8,3,4,2,7,6,5] => [1,3,4,7,6,8,2,5] => 0000011
[8,1,3,6,7,4,2,5] => [8,4,1,7,2,3,6,5] => [7,4,1,6,8,2,3,5] => 0010011
[1,2,4,7,8,5,3,6] => [1,2,5,4,8,3,7,6] => [1,2,4,7,8,5,3,6] => 0001001
[8,7,2,5,6,3,1,4] => [3,6,7,2,1,5,8,4] => [8,7,2,5,6,3,1,4] => 0100111
[5,8,6,1,7,3,2,4] => [6,3,8,1,5,7,2,4] => [5,7,3,1,8,6,2,4] => 0100111
[6,7,1,2,8,4,3,5] => [7,1,4,8,3,6,2,5] => [6,8,4,3,7,1,2,5] => 0010011
[2,1,3,8,6,5,4,7] => [2,1,3,5,6,8,4,7] => [2,1,3,8,6,5,4,7] => 1001101
[3,4,1,7,6,8,2,5] => [4,8,3,1,2,7,6,5] => [3,7,6,8,1,4,2,5] => 0010011
[2,5,7,1,8,4,3,6] => [7,2,4,8,5,3,1,6] => [2,5,8,4,3,7,1,6] => 0010011
[4,5,7,6,1,8,2,3] => [6,7,1,4,5,8,2,3] => [4,5,8,1,7,6,2,3] => 0000111
[5,4,7,6,8,3,1,2] => [3,1,8,5,4,7,6,2] => [5,4,7,6,8,3,1,2] => 0101011
[1,5,7,8,6,3,2,4] => [1,3,6,2,5,8,7,4] => [1,5,7,8,6,3,2,4] => 0100101
[8,3,7,5,6,2,1,4] => [2,6,8,1,7,5,3,4] => [7,5,8,2,1,6,3,4] => 1000111
[1,4,8,6,7,3,2,5] => [1,3,7,4,2,8,6,5] => [1,4,8,6,7,3,2,5] => 0100011
[5,2,7,8,6,3,1,4] => [3,6,5,2,1,8,7,4] => [5,2,7,8,6,3,1,4] => 0101101
[8,2,7,6,4,3,1,5] => [3,4,6,7,2,8,1,5] => [8,2,7,6,4,3,1,5] => 0110111
[4,8,7,5,6,2,1,3] => [2,6,1,4,7,5,8,3] => [4,8,7,5,6,2,1,3] => 1000111
[1,3,9,8,7,6,5,4,2] => [1,4,3,5,6,7,8,9,2] => [1,3,9,8,7,6,5,4,2] => 00111111
[4,1,8,7,3,6,5,2] => [4,5,6,1,7,2,8,3] => [8,7,1,6,5,2,4,3] => 0011111
[5,6,8,4,1,7,3,2] => [4,3,8,7,5,6,2,1] => [5,6,7,3,2,8,4,1] => 0110011
[4,5,8,7,3,1,6,2] => [3,7,6,4,5,2,8,1] => [4,5,6,2,8,7,3,1] => 0100111
[3,1,8,4,7,6,5,2] => [3,5,1,6,7,8,4,2] => [8,4,7,6,5,1,3,2] => 0101111
[1,5,8,4,3,7,6,2] => [1,6,4,7,5,8,2,3] => [1,5,8,4,2,7,6,3] => 0010111
[8,1,7,2,5,6,4,3] => [8,7,4,6,2,5,1,3] => [6,4,2,5,7,1,8,3] => 0010111
[8,1,3,5,2,7,6,4] => [8,5,1,6,3,7,2,4] => [7,6,1,3,5,2,8,4] => 0001111
[8,6,2,4,3,7,5,1] => [5,7,4,1,6,8,3,2] => [4,1,8,6,3,7,5,2] => 0011111
[2,4,1,6,7,5,8,3] => [4,2,8,1,7,6,5,3] => [2,6,7,5,8,1,4,3] => 0010011
[8,1,4,5,6,2,7,3] => [8,6,7,1,4,5,2,3] => [7,1,4,5,6,2,8,3] => 0000111
[3,5,6,2,8,7,4,1] => [4,7,3,6,5,1,8,2] => [3,5,6,1,8,7,4,2] => 0010111
[8,4,5,3,7,6,2,1] => [2,6,5,7,1,8,3,4] => [8,2,1,5,3,7,6,4] => 1001111
[7,2,1,6,3,4,8,5] => [2,7,6,3,8,1,4,5] => [8,3,6,2,1,4,7,5] => 1000111
[3,7,4,2,5,8,6,1] => [6,4,3,8,1,7,5,2] => [3,7,4,1,5,8,6,2] => 0010111
[2,3,5,1,4,8,7,6] => [5,2,3,1,4,7,8,6] => [2,3,5,1,4,8,7,6] => 0001011
[3,8,7,1,6,2,5,4] => [7,6,3,5,2,1,8,4] => [3,5,2,6,1,8,7,4] => 0001111
[3,8,7,1,4,5,2,6] => [7,5,3,1,4,2,8,6] => [3,5,1,4,8,7,2,6] => 0001011
[4,8,5,7,2,6,3,1] => [3,6,7,4,8,1,5,2] => [4,8,1,7,5,6,3,2] => 0100111
[8,4,5,7,3,2,6,1] => [6,3,7,8,4,2,5,1] => [8,4,7,3,2,5,6,1] => 0100111
[8,3,7,5,1,2,6,4] => [5,1,7,8,6,3,4,2] => [6,3,8,4,7,5,1,2] => 0001111
[7,3,4,6,2,1,5,8] => [2,6,7,3,1,4,5,8] => [7,3,6,2,1,4,5,8] => 1000110
[3,7,4,6,1,5,2,8] => [6,5,3,7,1,4,2,8] => [3,7,1,5,4,6,2,8] => 0001110
[8,5,7,2,6,4,1,3] => [4,6,2,7,8,1,5,3] => [8,2,7,5,6,4,1,3] => 0010111
[8,7,3,5,6,1,4,2] => [6,4,7,1,3,5,8,2] => [8,7,1,4,3,5,6,2] => 0010111
[8,7,3,1,4,5,2,6] => [3,7,5,2,4,1,8,6] => [5,2,4,8,7,3,1,6] => 0101011
[8,5,3,1,6,4,7,2] => [3,5,8,7,6,1,2,4] => [6,1,7,3,2,8,5,4] => 0101111
[8,7,3,1,4,5,6,2] => [3,7,6,2,4,5,8,1] => [6,2,4,5,8,7,3,1] => 0100111
[8,6,4,1,7,5,2,3] => [4,6,2,5,8,7,1,3] => [7,5,2,8,6,4,1,3] => 0011111
[8,6,3,1,7,4,5,2] => [3,6,5,8,2,7,4,1] => [7,2,5,4,8,6,3,1] => 0101111
[8,5,3,7,1,6,4,2] => [7,4,6,5,8,1,2,3] => [8,5,1,6,4,2,7,3] => 0011111
[7,4,8,2,6,1,5,3] => [6,8,5,7,1,2,4,3] => [7,1,5,2,8,4,6,3] => 0001111
[8,5,3,1,6,4,2,7] => [3,5,4,8,6,1,2,7] => [6,4,1,8,5,3,2,7] => 0111101
[8,7,4,1,5,2,3,6] => [4,7,1,5,2,3,8,6] => [5,1,8,7,4,2,3,6] => 0011011
[8,7,5,1,2,6,3,4] => [5,1,7,2,6,3,8,4] => [6,1,2,8,7,5,3,4] => 0001111
[8,7,4,1,2,5,3,6] => [4,1,7,5,3,2,8,6] => [5,3,8,7,4,1,2,6] => 0011011
[1,6,3,8,4,2,5,7] => [1,4,8,6,3,2,5,7] => [1,6,3,8,4,2,5,7] => 0010101
[4,7,2,5,3,6,1,8] => [6,7,5,4,2,3,1,8] => [4,5,2,7,3,6,1,8] => 0001110
[4,8,7,5,3,1,6,2] => [3,5,7,4,6,1,8,2] => [4,6,1,8,7,5,3,2] => 0101111
[6,1,4,8,3,2,5,7] => [6,3,8,1,2,4,5,7] => [8,3,1,6,2,4,5,7] => 0100101
[1,2,7,4,3,5,6,8] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => 0010010
[6,1,8,5,2,4,3,7] => [6,5,4,2,8,1,3,7] => [4,2,8,5,1,6,3,7] => 0011101
[4,5,2,1,6,8,7,3] => [2,5,7,4,1,6,8,3] => [4,6,8,7,2,1,5,3] => 1001011
[7,2,8,6,5,1,4,3] => [5,6,4,1,8,7,2,3] => [4,1,7,2,8,6,5,3] => 0011111
[7,4,8,6,1,5,3,2] => [6,3,5,8,4,7,1,2] => [7,4,5,3,1,8,6,2] => 0101111
[8,7,2,6,1,4,5,3] => [6,7,5,1,4,2,8,3] => [5,1,4,8,7,2,6,3] => 0001111
[1,7,8,6,2,4,3,5] => [1,6,4,2,3,8,7,5] => [1,4,2,7,8,6,3,5] => 0010101
[8,5,3,1,2,4,7,6] => [3,1,5,2,8,7,4,6] => [7,5,3,1,2,4,8,6] => 0101011
[3,8,1,5,6,2,4,7] => [8,6,3,2,1,5,4,7] => [3,6,2,5,8,1,4,7] => 0000101
[6,8,4,1,5,2,3,7] => [4,8,1,5,2,6,3,7] => [5,1,6,8,4,2,3,7] => 0011001
[3,2,8,1,6,4,5,7] => [8,3,2,6,4,1,5,7] => [3,2,6,4,8,1,5,7] => 0100101
[5,8,4,1,2,3,7,6] => [4,1,2,8,5,7,3,6] => [5,7,4,1,2,3,8,6] => 0010011
[7,1,2,5,3,4,6,8] => [7,1,5,3,2,4,6,8] => [5,3,7,1,2,4,6,8] => 0001010
[1,6,7,3,2,8,4,5] => [1,3,7,8,4,6,2,5] => [1,6,8,4,7,3,2,5] => 0100011
[1,8,6,3,2,7,4,5] => [1,3,6,8,2,7,4,5] => [1,7,3,2,8,6,4,5] => 0100111
[1,5,3,7,2,8,4,6] => [1,7,5,8,3,4,2,6] => [1,8,3,5,4,7,2,6] => 0001011
[1,5,7,3,8,2,4,6] => [1,8,7,2,5,4,3,6] => [1,5,7,2,4,8,3,6] => 0000011
[1,4,6,2,8,5,3,7] => [1,6,5,4,8,2,3,7] => [1,4,8,5,2,6,3,7] => 0001101
[1,8,5,2,6,4,3,7] => [1,5,4,8,6,3,2,7] => [1,6,4,3,8,5,2,7] => 0011101
[2,5,8,6,3,1,7,4] => [3,2,6,8,5,7,4,1] => [2,5,7,4,8,6,3,1] => 0100111
[2,3,6,1,8,7,4,5] => [6,2,3,7,4,1,8,5] => [2,3,8,7,4,6,1,5] => 0000111
[1,2,5,7,4,6,8,3] => [1,2,8,7,5,4,6,3] => [1,2,5,7,4,6,8,3] => 0000011
[1,2,4,7,6,8,3,5] => [1,2,8,4,3,7,6,5] => [1,2,4,7,6,8,3,5] => 0000011
[3,5,8,6,1,7,2,4] => [6,8,3,1,5,7,2,4] => [3,5,7,1,8,6,2,4] => 0000111
[2,3,6,8,1,7,4,5] => [8,2,3,7,4,6,1,5] => [2,3,6,7,4,8,1,5] => 0000011
[1,7,4,8,5,6,3,2] => [1,3,6,7,8,5,4,2] => [1,8,5,7,4,6,3,2] => 0100111
[3,5,8,6,2,7,4,1] => [4,7,3,6,5,8,1,2] => [3,5,8,6,1,7,4,2] => 0010111
[1,2,4,7,3,6,8,5] => [1,2,7,4,8,3,6,5] => [1,2,4,8,3,6,7,5] => 0000011
[3,2,1,6,8,4,7,5] => [2,3,1,8,7,6,4,5] => [3,2,1,6,7,4,8,5] => 1100011
[4,8,3,1,6,5,7,2] => [3,8,7,4,6,2,5,1] => [4,6,2,7,5,8,3,1] => 0100111
[6,2,5,8,3,1,7,4] => [3,8,6,7,1,5,2,4] => [7,1,5,6,3,2,8,4] => 0100111
[1,6,8,5,4,2,7,3] => [1,4,5,8,7,6,2,3] => [1,6,7,2,8,5,4,3] => 0011011
[6,5,8,4,2,1,7,3] => [2,4,8,7,6,5,3,1] => [6,5,7,3,8,4,2,1] => 1010111
[1,7,8,6,5,4,2,3] => [1,4,2,5,6,8,7,3] => [1,7,8,6,5,4,2,3] => 0011101
[6,8,7,4,5,1,3,2] => [5,3,1,7,4,6,8,2] => [3,1,6,8,7,4,5,2] => 0101011
[6,1,3,5,4,2,8,7] => [6,4,1,5,3,2,8,7] => [5,4,1,3,6,2,8,7] => 0011101
[2,1,5,8,6,4,7,3] => [2,1,7,6,5,8,4,3] => [2,1,5,8,6,4,7,3] => 1000111
[4,2,8,5,6,3,7,1] => [7,4,6,2,8,5,3,1] => [8,5,6,2,4,3,7,1] => 0010111
[5,3,7,2,6,8,4,1] => [4,8,7,5,1,3,6,2] => [5,1,7,3,6,8,4,2] => 0011011
[5,7,2,3,4,6,8,1] => [8,7,2,3,5,4,6,1] => [5,7,2,3,4,6,8,1] => 0000011
[1,3,8,2,7,5,6,4] => [1,8,3,6,7,5,2,4] => [1,3,7,5,6,2,8,4] => 0000111
[4,2,7,1,6,8,5,3] => [7,4,5,2,8,1,6,3] => [8,5,2,4,1,6,7,3] => 0011011
[6,7,8,3,4,1,5,2] => [4,5,8,3,1,6,7,2] => [6,7,8,3,5,1,4,2] => 0011001
[1,7,8,4,2,5,6,3] => [1,4,8,6,3,5,7,2] => [1,6,3,5,7,8,4,2] => 0010101
[7,1,8,5,2,3,6,4] => [7,5,2,8,6,4,1,3] => [6,4,8,5,2,7,1,3] => 0001111
[7,2,8,4,6,1,5,3] => [6,7,5,8,1,4,2,3] => [8,1,5,4,7,2,6,3] => 0001111
[2,8,6,3,1,7,5,4] => [3,2,6,5,8,7,4,1] => [2,7,5,4,8,6,3,1] => 0101111
[3,4,6,2,7,5,8,1] => [8,6,3,4,7,2,5,1] => [3,4,7,2,6,5,8,1] => 0000111
[2,4,7,1,8,6,5,3] => [7,2,5,4,6,8,1,3] => [2,4,8,6,5,1,7,3] => 0001111
[7,4,6,2,8,1,5,3] => [8,6,5,7,1,4,2,3] => [7,1,5,4,6,2,8,3] => 0001111
[7,5,6,1,2,4,3,8] => [6,1,4,2,7,5,3,8] => [4,1,2,7,5,6,3,8] => 0010110
[6,1,8,4,2,3,5,7] => [6,4,2,8,3,1,5,7] => [8,4,2,3,6,1,5,7] => 0010101
[7,4,6,2,1,8,5,3] => [2,6,5,8,7,3,1,4] => [7,3,8,5,2,1,6,4] => 1001111
[7,2,4,3,1,6,8,5] => [3,4,7,1,8,2,6,5] => [8,1,4,3,2,6,7,5] => 0110011
[7,2,3,1,6,4,8,5] => [3,7,2,6,8,1,4,5] => [8,2,3,1,6,4,7,5] => 0100111
[6,5,2,3,8,1,4,7] => [8,5,2,1,6,3,4,7] => [6,5,2,8,1,3,4,7] => 0001101
[1,8,6,4,2,5,7,3] => [1,4,6,8,2,7,5,3] => [1,7,2,5,8,6,4,3] => 0010111
[2,4,1,8,7,5,3,6] => [4,2,5,1,7,3,8,6] => [2,8,7,5,1,4,3,6] => 0011011
[2,8,1,6,5,7,3,4] => [8,2,7,3,6,1,5,4] => [2,6,3,7,5,8,1,4] => 0000111
[5,1,6,4,3,8,7,2] => [5,7,4,6,1,3,8,2] => [6,4,1,8,7,3,5,2] => 0011111
[6,5,4,7,3,1,8,2] => [3,7,8,5,6,4,2,1] => [6,5,4,8,2,7,3,1] => 0101111
[5,2,1,8,4,7,6,3] => [2,5,6,7,1,8,3,4] => [8,2,1,7,6,3,5,4] => 1001111
[6,7,5,3,2,1,8,4] => [2,3,5,7,8,6,4,1] => [6,8,4,7,5,3,2,1] => 1101011
[3,7,1,6,4,5,8,2] => [7,8,3,6,4,1,5,2] => [3,6,4,8,1,5,7,2] => 0000111
[1,3,8,7,5,4,6,2] => [1,6,3,5,7,4,8,2] => [1,3,8,7,5,4,6,2] => 0001111
[4,7,8,6,3,1,5,2] => [3,6,5,4,2,8,7,1] => [4,5,2,7,8,6,3,1] => 0101101
[2,8,7,3,1,6,4,5] => [3,2,7,6,4,1,8,5] => [2,6,4,8,7,3,1,5] => 0100111
[1,2,3,4,5,7,9,8,6] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,7,9,8,6] => 00000011
[1,2,3,4,6,9,8,7,5] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,6,9,8,7,5] => 00000111
[1,2,3,5,9,8,7,6,4] => [1,2,3,6,5,7,8,9,4] => [1,2,3,5,9,8,7,6,4] => 00001111
[1,2,4,9,8,7,6,5,3] => [1,2,5,4,6,7,8,9,3] => [1,2,4,9,8,7,6,5,3] => 00011111
[1,3,5,7,9,8,6,4,2] => [1,4,3,6,5,8,7,9,2] => [1,3,5,7,9,8,6,4,2] => 00101011
[1,3,5,7,9,10,8,6,4,2] => [1,4,3,6,5,8,7,10,9,2] => [1,3,5,7,9,10,8,6,4,2] => 001010101
[5,3,8,4,6,7,1,2] => [7,1,5,8,3,4,6,2] => [8,3,5,4,6,7,1,2] => 0001011
[2,3,8,6,4,7,1,5] => [7,2,3,6,1,8,4,5] => [2,3,8,6,1,7,4,5] => 0000111
[6,7,3,4,8,5,1,2] => [5,1,8,2,7,6,4,3] => [6,7,1,2,4,8,5,3] => 0001011
[7,4,1,8,2,5,6,3] => [4,7,8,6,3,5,2,1] => [6,3,5,8,2,7,4,1] => 0010111
[7,3,1,6,2,8,5,4] => [3,7,6,5,8,2,1,4] => [8,5,2,6,3,1,7,4] => 0101111
[5,1,3,4,8,2,6,7] => [5,8,1,3,4,2,6,7] => [8,1,3,4,5,2,6,7] => 0001001
[4,6,2,8,1,7,3,5] => [8,6,7,4,3,2,1,5] => [4,7,3,6,2,8,1,5] => 0000111
[7,8,2,3,5,1,6,4] => [5,8,2,6,3,1,7,4] => [6,2,3,7,8,1,5,4] => 0001101
[6,1,4,5,7,8,2,3] => [6,8,2,1,4,5,7,3] => [7,8,2,4,5,6,1,3] => 0000101
[6,3,4,7,1,8,5,2] => [7,5,8,2,6,4,1,3] => [6,2,4,8,5,1,7,3] => 0001111
[7,1,3,4,5,6,8,2] => [7,8,1,3,4,5,6,2] => [8,1,3,4,5,6,7,2] => 0000011
[8,3,2,5,6,1,7,4] => [6,3,8,7,2,5,1,4] => [7,3,2,5,8,1,6,4] => 0100111
[8,2,3,5,6,1,7,4] => [6,8,2,7,3,5,1,4] => [7,2,3,5,8,1,6,4] => 0000111
[7,1,2,6,8,3,5,4] => [7,1,8,5,3,2,6,4] => [5,3,8,1,2,6,7,4] => 0001011
[7,2,5,6,1,8,4,3] => [6,7,4,8,2,5,1,3] => [8,4,2,5,7,1,6,3] => 0010111
[5,4,2,7,8,6,1,3] => [6,4,1,5,2,8,7,3] => [5,4,1,7,8,6,2,3] => 0011101
[4,7,6,8,1,2,5,3] => [8,1,5,4,2,7,6,3] => [4,5,1,2,7,6,8,3] => 0001011
[7,1,6,2,3,4,8,5] => [7,6,2,3,8,1,4,5] => [8,2,3,6,1,4,7,5] => 0000111
[7,6,2,1,3,4,8,5] => [2,6,1,3,7,8,5,4] => [8,5,7,6,2,1,3,4] => 1000111
[3,7,6,8,5,2,4,1] => [4,5,3,2,8,7,6,1] => [3,7,6,8,5,2,4,1] => 0011011
[5,8,7,2,6,3,4,1] => [4,7,6,3,5,2,8,1] => [5,6,3,8,7,2,4,1] => 0010111
[6,7,5,1,8,2,3,4] => [5,7,1,3,8,6,2,4] => [6,8,1,3,7,5,2,4] => 0001011
[7,6,1,2,4,3,8,5] => [6,1,4,2,7,8,5,3] => [4,1,2,8,5,7,6,3] => 0010111
[6,7,3,1,8,2,5,4] => [3,7,8,5,1,6,2,4] => [5,1,6,8,3,2,7,4] => 0101011
[6,7,2,1,5,3,8,4] => [2,7,5,8,1,6,3,4] => [6,8,2,1,5,3,7,4] => 1001011
[4,8,3,1,7,6,5,2] => [3,8,5,4,6,7,2,1] => [4,7,6,5,2,8,3,1] => 0101111
[5,3,8,7,1,6,4,2] => [7,4,6,5,2,1,8,3] => [5,2,6,4,1,8,7,3] => 0011111
[5,3,8,2,1,7,6,4] => [2,8,5,6,3,7,1,4] => [7,6,3,5,2,1,8,4] => 1001111
[3,8,7,2,6,5,1,4] => [5,6,3,2,7,1,8,4] => [3,8,7,2,6,5,1,4] => 0001111
[5,8,4,7,1,6,3,2] => [7,3,6,8,5,1,4,2] => [5,8,3,1,6,4,7,2] => 0100111
[8,6,1,5,4,3,7,2] => [6,8,4,5,2,7,3,1] => [5,4,2,7,3,8,6,1] => 0011111
[6,1,8,5,4,3,7,2] => [6,7,4,5,8,1,3,2] => [8,5,4,1,7,3,6,2] => 0011111
[5,6,1,8,3,4,7,2] => [6,7,8,3,5,1,4,2] => [5,8,3,7,1,4,6,2] => 0000111
[6,1,5,8,4,7,2,3] => [6,7,2,8,1,5,4,3] => [8,2,5,7,4,6,1,3] => 0000111
[7,2,5,6,1,4,8,3] => [6,7,8,1,2,5,4,3] => [8,1,5,7,2,4,6,3] => 0000111
[5,2,6,8,1,4,7,3] => [8,5,7,1,2,6,4,3] => [6,7,1,5,2,4,8,3] => 0001011
[1,6,8,5,2,4,7,3] => [1,5,8,3,7,6,4,2] => [1,6,7,3,4,8,5,2] => 0001011
[3,6,7,5,8,1,2,4] => [8,1,3,2,7,6,5,4] => [3,6,7,5,8,1,2,4] => 0000011
[1,6,7,5,8,3,2,4] => [1,3,8,2,7,6,5,4] => [1,6,7,5,8,3,2,4] => 0100011
[3,8,6,5,7,4,1,2] => [4,1,3,7,6,8,5,2] => [3,8,6,5,7,4,1,2] => 0010111
[8,1,6,5,7,4,3,2] => [8,3,4,7,6,1,5,2] => [6,4,3,1,7,5,8,2] => 0110111
[6,8,2,1,5,7,4,3] => [2,8,4,7,1,6,5,3] => [6,7,4,2,1,5,8,3] => 1010011
[5,2,1,6,8,4,7,3] => [2,5,7,8,1,6,4,3] => [6,8,2,1,7,4,5,3] => 1001011
[6,5,8,7,4,2,3,1] => [3,4,2,7,6,5,8,1] => [6,5,8,7,4,2,3,1] => 0110111
[3,1,8,6,5,7,4,2] => [3,4,1,7,6,8,5,2] => [8,6,5,7,4,1,3,2] => 0110111
[6,8,5,7,4,2,1,3] => [2,4,1,7,8,6,5,3] => [6,8,5,7,4,2,1,3] => 1010011
[3,6,7,5,8,2,1,4] => [2,8,3,1,7,6,5,4] => [3,6,7,5,8,2,1,4] => 1000011
[4,7,5,3,8,1,2,6] => [8,1,5,4,7,2,3,6] => [4,7,5,1,2,8,3,6] => 0001011
[2,7,5,8,3,1,4,6] => [3,2,8,1,7,4,5,6] => [2,7,3,1,4,8,5,6] => 0100011
[2,7,5,8,3,4,6,1] => [6,2,8,3,7,4,5,1] => [2,7,3,4,8,5,6,1] => 0000111
[6,7,5,3,1,4,2,8] => [3,5,4,2,7,6,1,8] => [4,2,6,7,5,3,1,8] => 0111010
[4,7,5,3,1,6,2,8] => [3,5,7,4,6,1,2,8] => [4,6,1,7,5,3,2,8] => 0101110
[2,7,5,3,1,6,4,8] => [3,2,5,7,6,4,1,8] => [2,6,4,7,5,3,1,8] => 0101110
[2,7,5,3,6,4,8,1] => [8,2,5,7,6,4,3,1] => [2,6,4,7,5,3,8,1] => 0001111
[4,7,5,3,1,8,2,6] => [3,5,7,4,8,2,1,6] => [4,8,2,7,5,3,1,6] => 0101011
[6,7,5,3,1,8,2,4] => [3,5,7,2,8,6,1,4] => [6,8,2,7,5,3,1,4] => 0101011
[2,7,5,8,6,3,1,4] => [3,2,6,1,8,7,4,5] => [2,7,3,1,4,8,6,5] => 0100111
[2,7,5,6,8,3,4,1] => [4,2,8,3,7,5,6,1] => [2,7,5,6,8,3,4,1] => 0010011
[2,7,5,6,8,3,1,4] => [3,2,8,1,7,5,6,4] => [2,7,5,6,8,3,1,4] => 0100011
[4,7,5,3,6,8,1,2] => [8,1,5,4,7,3,6,2] => [4,7,5,3,6,8,1,2] => 0001011
[2,7,5,6,3,8,4,1] => [4,2,8,6,7,5,1,3] => [2,7,5,6,1,8,4,3] => 0010111
[2,7,5,3,6,8,4,1] => [4,2,8,5,7,1,6,3] => [2,7,5,1,6,8,4,3] => 0011011
[2,7,5,3,1,6,8,4] => [3,2,5,7,8,4,6,1] => [2,8,4,6,7,5,3,1] => 0101011
[4,7,5,3,1,6,8,2] => [3,5,7,4,8,1,6,2] => [4,8,1,6,7,5,3,2] => 0101011
[2,7,5,3,1,4,8,6] => [3,2,5,1,7,8,4,6] => [2,8,5,3,1,4,7,6] => 0101011
[4,8,5,6,7,3,1,2] => [3,1,7,4,8,5,6,2] => [4,8,5,6,7,3,1,2] => 0100011
[3,7,6,2,8,5,1,4] => [5,8,3,2,6,7,1,4] => [3,7,6,2,8,5,1,4] => 0001111
[3,7,6,1,8,4,2,5] => [6,4,3,7,1,8,2,5] => [3,8,4,1,7,6,2,5] => 0010111
[2,6,7,1,8,4,3,5] => [7,2,4,8,3,6,1,5] => [2,6,8,4,3,7,1,5] => 0010011
[5,1,7,3,2,4,8,6] => [5,3,7,2,1,8,4,6] => [8,3,2,5,1,4,7,6] => 0101011
[4,8,5,6,7,2,1,3] => [2,7,1,4,8,5,6,3] => [4,8,5,6,7,2,1,3] => 1000011
[5,8,6,2,7,4,1,3] => [4,7,2,6,5,8,1,3] => [5,8,6,2,7,4,1,3] => 0010111
[2,4,6,7,8,5,1,3] => [5,2,1,4,8,6,7,3] => [2,4,6,7,8,5,1,3] => 0001001
[4,7,6,2,8,5,1,3] => [5,8,2,4,6,7,1,3] => [4,7,6,2,8,5,1,3] => 0001111
[5,8,6,3,7,4,1,2] => [4,1,7,6,5,8,2,3] => [5,8,6,1,2,7,4,3] => 0010111
[5,8,7,3,2,4,1,6] => [4,3,7,2,5,1,8,6] => [5,8,7,3,2,4,1,6] => 0110011
[8,3,1,7,2,6,4,5] => [3,8,7,6,4,1,2,5] => [6,4,7,1,8,3,2,5] => 0100111
[4,5,1,2,8,7,3,6] => [5,1,7,4,2,3,8,6] => [4,8,7,1,2,5,3,6] => 0001011
[5,8,7,1,6,2,4,3] => [7,6,4,2,5,1,8,3] => [4,2,5,6,1,8,7,3] => 0010111
[7,3,1,4,8,2,6,5] => [3,7,8,2,6,1,4,5] => [6,2,8,3,1,4,7,5] => 0100111
[5,4,7,1,8,2,6,3] => [7,8,6,5,4,2,1,3] => [5,4,6,2,8,1,7,3] => 0001111
[7,5,6,1,3,8,4,2] => [6,4,1,8,7,5,3,2] => [7,5,8,4,1,3,6,2] => 0010111
[5,7,6,1,3,8,4,2] => [6,4,2,7,5,8,3,1] => [5,8,4,2,3,7,6,1] => 0010111
[6,7,4,1,3,8,5,2] => [4,7,2,5,8,6,3,1] => [6,8,5,2,3,7,4,1] => 0011011
[7,4,5,1,3,8,6,2] => [5,6,1,8,2,7,3,4] => [7,1,8,6,2,3,5,4] => 0001111
[1,5,7,8,4,2,3,6] => [1,4,2,8,5,3,7,6] => [1,5,7,8,4,2,3,6] => 0010001
[1,3,6,4,2,5,7,8] => [1,4,3,6,2,5,7,8] => [1,3,6,4,2,5,7,8] => 0010100
[1,5,7,8,3,6,2,4] => [1,6,8,2,5,3,7,4] => [1,5,7,8,2,6,3,4] => 0000101
[1,5,7,8,2,4,3,6] => [1,8,4,2,5,3,7,6] => [1,4,2,5,7,8,3,6] => 0010001
[2,8,5,3,6,1,4,7] => [6,2,5,1,8,3,4,7] => [2,8,5,1,6,3,4,7] => 0001101
[6,8,5,4,2,7,1,3] => [7,4,1,5,8,6,2,3] => [6,8,5,4,1,7,2,3] => 0011011
[1,8,4,6,3,2,7,5] => [1,3,6,8,7,4,2,5] => [1,7,4,8,3,2,6,5] => 0100111
[6,4,8,5,3,2,1,7] => [2,3,5,8,6,1,4,7] => [6,3,2,1,8,5,4,7] => 1101101
[5,4,1,7,3,2,6,8] => [4,3,5,7,2,1,6,8] => [7,3,2,5,4,1,6,8] => 0111010
[3,5,6,1,4,2,7,8] => [6,4,3,1,5,2,7,8] => [3,4,1,5,6,2,7,8] => 0010100
[5,3,6,8,4,2,7,1] => [7,4,8,5,2,6,3,1] => [5,2,6,8,4,3,7,1] => 0011011
[5,3,1,4,7,6,8,2] => [3,5,8,2,4,7,6,1] => [7,6,8,2,4,5,3,1] => 0101011
[1,6,7,8,3,5,2,4] => [1,5,8,2,3,6,7,4] => [1,6,7,8,2,5,3,4] => 0001001
[2,6,5,7,8,3,1,4] => [3,2,8,1,6,5,7,4] => [2,6,5,7,8,3,1,4] => 0100101
[3,7,6,8,2,5,4,1] => [4,5,3,8,1,7,6,2] => [3,7,6,8,1,5,4,2] => 0011011
[4,1,8,2,6,7,5,3] => [4,8,5,1,7,2,6,3] => [7,5,1,6,8,2,4,3] => 0011011
[3,6,7,8,2,1,4,5] => [2,8,3,1,4,6,7,5] => [3,6,7,8,2,1,4,5] => 1000001
[2,5,6,3,4,8,1,7] => [8,2,6,3,5,4,1,7] => [2,5,6,3,4,8,1,7] => 0000101
[5,2,4,7,8,6,1,3] => [6,5,1,2,4,8,7,3] => [5,1,4,7,8,6,2,3] => 0001101
[2,6,4,7,3,1,5,8] => [3,2,7,6,1,4,5,8] => [2,6,3,1,7,4,5,8] => 0100110
[1,5,7,4,3,2,8,6] => [1,3,4,7,5,8,2,6] => [1,5,8,4,3,2,7,6] => 0110011
[8,1,6,2,3,4,7,5] => [8,6,2,3,7,1,4,5] => [7,2,3,6,1,4,8,5] => 0000111
[1,8,7,3,2,6,5,4] => [1,3,7,5,6,2,8,4] => [1,6,5,3,2,8,7,4] => 0101111
[1,8,3,4,5,2,7,6] => [1,5,8,3,4,7,2,6] => [1,7,3,4,5,2,8,6] => 0001011
[1,8,3,6,4,7,2,5] => [1,7,8,6,2,3,4,5] => [1,6,2,8,3,7,4,5] => 0000111
[5,4,1,7,3,6,2,8] => [4,5,6,7,2,1,3,8] => [7,2,6,1,5,4,3,8] => 0011110
[7,3,5,8,2,6,1,4] => [6,8,7,1,3,2,5,4] => [7,1,8,3,5,6,2,4] => 0000111
[3,4,8,2,5,1,7,6] => [5,8,3,4,2,7,1,6] => [3,4,7,2,5,1,8,6] => 0001011
[4,1,6,8,2,5,7,3] => [4,8,7,1,2,6,5,3] => [6,7,1,5,8,2,4,3] => 0010011
[1,4,6,7,8,3,5,2] => [1,5,8,4,3,6,7,2] => [1,4,6,7,8,3,5,2] => 0001001
[4,1,5,3,6,8,7,2] => [4,7,5,1,3,6,8,2] => [5,1,6,8,7,3,4,2] => 0011011
[3,7,5,1,6,8,4,2] => [5,4,3,7,8,2,6,1] => [3,8,4,2,6,7,5,1] => 0011011
[6,1,4,7,8,2,5,3] => [6,8,5,1,2,4,7,3] => [5,1,7,8,2,4,6,3] => 0001101
[5,8,7,4,6,2,3,1] => [3,6,2,7,5,4,8,1] => [5,8,7,4,6,2,3,1] => 0100111
[4,8,7,2,5,6,3,1] => [3,6,7,4,1,5,8,2] => [4,8,7,1,5,6,3,2] => 0100111
[1,6,8,3,5,2,7,4] => [1,5,8,7,3,6,2,4] => [1,6,7,3,8,2,5,4] => 0001011
[4,5,8,6,3,7,2,1] => [2,7,6,4,5,8,3,1] => [4,5,8,6,3,7,2,1] => 1000111
[2,6,7,8,4,5,1,3] => [5,2,1,8,4,6,7,3] => [2,6,7,8,4,5,1,3] => 0001001
[4,7,1,8,5,6,3,2] => [7,3,6,4,8,5,1,2] => [4,8,5,6,3,1,7,2] => 0100111
[7,2,1,8,6,4,5,3] => [2,7,5,6,4,8,1,3] => [8,6,4,5,2,1,7,3] => 1001111
[4,5,8,3,7,6,2,1] => [2,6,7,4,5,8,1,3] => [4,5,8,2,1,7,6,3] => 1000111
[1,7,2,8,6,4,5,3] => [1,7,5,6,4,8,2,3] => [1,8,6,4,5,2,7,3] => 0001111
[2,4,7,8,5,6,1,3] => [6,2,1,4,8,5,7,3] => [2,4,7,8,5,6,1,3] => 0000101
[4,1,7,8,5,6,3,2] => [4,3,6,1,8,5,7,2] => [7,8,5,6,3,1,4,2] => 0110101
[2,4,8,5,7,6,1,3] => [6,2,1,4,7,8,3,5] => [2,4,8,1,3,7,6,5] => 0000111
[4,1,5,8,6,7,3,2] => [4,3,7,1,5,8,6,2] => [5,8,6,7,3,1,4,2] => 0110011
[1,4,3,7,2,8,5,6] => [1,7,4,3,8,5,2,6] => [1,4,3,8,5,7,2,6] => 0010011
[4,5,8,2,6,3,1,7] => [3,6,8,4,5,1,2,7] => [4,5,8,1,6,3,2,7] => 0100101
[3,8,2,4,6,1,5,7] => [6,8,3,2,1,4,5,7] => [3,8,2,6,1,4,5,7] => 0000101
[2,3,8,4,6,1,5,7] => [6,2,3,8,1,4,5,7] => [2,3,8,1,6,4,5,7] => 0000101
[5,1,4,3,2,7,6,8] => [5,3,4,1,2,7,6,8] => [4,3,1,5,2,7,6,8] => 0111010
[3,8,2,1,4,7,6,5] => [2,8,3,1,6,7,4,5] => [3,7,6,2,1,4,8,5] => 1000111
[3,2,4,7,1,8,5,6] => [7,3,2,4,8,5,1,6] => [3,2,4,8,5,7,1,6] => 0100011
[2,8,5,4,1,3,7,6] => [4,2,1,5,8,7,3,6] => [2,7,5,4,1,3,8,6] => 0011011
[4,2,8,7,1,3,5,6] => [7,4,1,2,3,5,8,6] => [4,1,8,7,2,3,5,6] => 0010011
[1,5,6,8,7,3,2,4] => [1,3,7,2,5,6,8,4] => [1,5,6,8,7,3,2,4] => 0100011
[1,4,8,3,6,5,2,7] => [1,5,6,4,8,2,3,7] => [1,4,8,2,6,5,3,7] => 0001101
[3,4,1,8,6,5,2,7] => [4,5,3,1,6,8,2,7] => [3,8,6,5,1,4,2,7] => 0011101
[1,3,8,6,4,7,2,5] => [1,7,3,6,2,8,4,5] => [1,3,8,6,2,7,4,5] => 0000111
[1,2,8,6,4,3,7,5] => [1,2,4,6,8,7,5,3] => [1,2,7,5,8,6,4,3] => 0010111
[6,5,1,8,7,3,2,4] => [5,3,6,1,7,2,8,4] => [8,7,3,1,6,5,2,4] => 0101111
[2,1,7,6,4,3,8,5] => [2,1,4,6,7,8,5,3] => [2,1,8,5,7,6,4,3] => 1010111
[6,3,5,1,2,8,7,4] => [5,1,6,7,3,2,8,4] => [8,7,3,6,1,2,5,4] => 0001111
[1,8,4,7,6,2,3,5] => [1,6,2,7,4,8,3,5] => [1,8,4,7,6,2,3,5] => 0000111
[8,3,2,6,1,7,4,5] => [6,3,8,7,4,2,1,5] => [7,4,8,3,2,6,1,5] => 0100111
[8,2,4,7,6,1,3,5] => [6,7,2,1,3,8,4,5] => [8,2,7,6,1,3,4,5] => 0000111
[1,6,3,7,4,5,2,8] => [1,5,6,7,4,3,2,8] => [1,7,4,6,3,5,2,8] => 0001110
[4,6,1,7,8,2,5,3] => [6,8,5,4,2,1,7,3] => [4,5,2,7,8,1,6,3] => 0001101
[6,5,8,1,2,7,4,3] => [8,1,4,7,6,5,2,3] => [6,5,7,4,1,2,8,3] => 0010111
[6,5,1,8,7,2,4,3] => [5,6,4,1,7,2,8,3] => [4,1,8,7,2,6,5,3] => 0011111
[6,1,2,8,7,3,4,5] => [6,1,7,3,4,2,8,5] => [8,7,3,4,6,1,2,5] => 0000111
[4,8,1,7,6,2,5,3] => [8,6,5,4,2,7,1,3] => [4,5,2,7,6,1,8,3] => 0001111
[4,1,8,7,6,5,2,3] => [4,5,2,1,6,7,8,3] => [8,7,6,5,2,4,1,3] => 0011111
[7,6,5,2,8,4,3,1] => [3,4,8,5,6,7,2,1] => [7,6,5,2,8,4,3,1] => 0111111
[7,2,8,6,1,5,4,3] => [6,8,4,5,2,7,1,3] => [5,4,2,7,1,8,6,3] => 0011111
[8,3,7,5,4,1,6,2] => [4,5,7,6,8,3,2,1] => [8,3,6,2,7,5,4,1] => 0011111
[8,6,4,5,3,1,7,2] => [3,5,7,6,4,8,2,1] => [8,6,4,7,2,5,3,1] => 0101111
[3,8,6,5,4,1,7,2] => [4,5,3,6,8,7,2,1] => [3,7,2,8,6,5,4,1] => 0011111
[8,2,6,7,4,5,1,3] => [5,8,1,7,4,2,6,3] => [7,4,6,8,1,5,2,3] => 0001011
[1,2,7,8,4,6,5,3] => [1,2,5,6,8,3,7,4] => [1,2,7,8,3,6,5,4] => 0001101
[4,5,3,1,8,7,2,6] => [3,5,7,4,2,1,8,6] => [4,8,7,2,5,3,1,6] => 0101011
[3,1,5,8,6,4,2,7] => [3,4,1,6,5,8,2,7] => [5,8,6,4,1,3,2,7] => 0110101
[4,6,8,1,5,2,3,7] => [8,5,2,4,1,6,3,7] => [4,5,2,6,8,1,3,7] => 0001001
[5,2,6,7,1,8,3,4] => [7,5,8,3,2,6,1,4] => [6,8,3,5,2,7,1,4] => 0001011
[7,5,2,6,1,4,3,8] => [6,5,4,1,7,2,3,8] => [4,1,7,5,2,6,3,8] => 0011110
[5,7,6,2,8,1,3,4] => [8,6,1,3,5,7,2,4] => [5,7,6,1,3,8,2,4] => 0000111
[8,1,6,5,7,2,3,4] => [8,7,2,3,6,1,5,4] => [6,2,3,7,5,8,1,4] => 0000111
[1,5,8,6,2,7,4,3] => [1,6,4,8,5,7,3,2] => [1,5,7,4,3,8,6,2] => 0010111
[6,4,7,1,3,8,2,5] => [7,8,1,6,2,4,3,5] => [6,1,8,4,7,2,3,5] => 0000111
[3,1,8,5,7,2,6,4] => [3,7,1,6,8,2,5,4] => [8,1,3,2,6,5,7,4] => 0100111
[6,7,4,2,3,8,1,5] => [8,4,2,7,1,6,3,5] => [6,7,4,2,8,1,3,5] => 0010011
[6,8,5,3,4,2,1,7] => [2,4,5,3,8,6,1,7] => [6,8,5,3,4,2,1,7] => 1011001
[8,5,2,6,4,3,1,7] => [3,4,6,5,8,2,1,7] => [8,5,2,6,4,3,1,7] => 0111101
[8,5,2,6,1,4,7,3] => [6,5,8,1,7,3,4,2] => [7,1,8,5,3,4,6,2] => 0001111
[8,5,6,4,2,7,1,3] => [7,4,1,6,8,5,2,3] => [8,5,6,4,1,7,2,3] => 0010111
[5,7,2,4,8,1,6,3] => [8,7,6,2,5,1,4,3] => [5,6,2,7,1,4,8,3] => 0000111
[5,2,7,3,8,1,6,4] => [8,5,7,6,2,1,3,4] => [6,2,7,1,5,3,8,4] => 0001111
[8,5,6,4,1,3,7,2] => [4,6,2,7,8,5,3,1] => [8,5,7,2,3,6,4,1] => 0010111
[8,5,1,6,7,3,2,4] => [5,3,8,1,7,2,6,4] => [7,3,1,6,8,5,2,4] => 0101011
[3,2,6,7,1,8,5,4] => [7,3,2,5,8,6,1,4] => [3,2,6,8,5,1,7,4] => 0101011
[6,1,3,7,8,2,5,4] => [6,8,1,5,2,3,7,4] => [5,1,7,8,2,3,6,4] => 0001101
[1,3,6,7,8,2,5,4] => [1,8,3,5,2,6,7,4] => [1,3,5,2,6,7,8,4] => 0001001
[3,4,6,7,8,2,1,5] => [2,8,3,4,1,6,7,5] => [3,4,6,7,8,2,1,5] => 1000001
[3,2,6,7,8,4,1,5] => [4,3,2,8,1,6,7,5] => [3,2,6,7,8,4,1,5] => 0110001
[5,7,2,8,1,4,6,3] => [8,7,6,1,5,4,2,3] => [5,6,1,4,7,2,8,3] => 0000111
[7,8,4,3,1,6,5,2] => [3,4,8,5,6,1,7,2] => [6,5,1,7,8,4,3,2] => 0111101
[2,6,1,7,8,3,5,4] => [6,2,8,5,3,1,7,4] => [2,5,3,7,8,1,6,4] => 0001101
[6,7,1,3,8,5,4,2] => [7,4,1,5,8,6,3,2] => [6,8,5,4,1,3,7,2] => 0011011
[6,7,1,8,5,2,4,3] => [7,5,4,2,8,6,1,3] => [4,2,6,8,5,1,7,3] => 0011011
[1,2,6,7,8,5,3,4] => [1,2,5,3,8,6,7,4] => [1,2,6,7,8,5,3,4] => 0001001
[1,6,4,7,8,3,2,5] => [1,3,8,6,2,4,7,5] => [1,6,3,2,7,8,4,5] => 0100101
[1,4,6,7,8,3,2,5] => [1,3,8,4,2,6,7,5] => [1,4,6,7,8,3,2,5] => 0100001
[4,1,3,2,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => 01100000
[5,4,1,2,3,6,7,8,9] => [4,1,2,5,3,6,7,8,9] => [5,4,1,2,3,6,7,8,9] => 00110000
[4,1,3,2,5,6,7,8,9,10] => [4,3,1,2,5,6,7,8,9,10] => [3,1,4,2,5,6,7,8,9,10] => 011000000
[7,6,4,3,1,5,8,2] => [3,4,6,7,2,8,5,1] => [8,2,5,7,6,4,3,1] => 0110111
[6,8,7,2,5,4,1,3] => [4,5,2,7,1,6,8,3] => [6,8,7,2,5,4,1,3] => 0011011
[4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => 001000000
[5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => 000100000
[8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => 000000100
[7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => 000001000
[6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => 000010000
[3,1,2,4,5,6,7,8,9,10,11,12] => [3,1,2,4,5,6,7,8,9,10,11,12] => [3,1,2,4,5,6,7,8,9,10,11,12] => 01000000000
[4,7,3,8,6,1,5,2] => [6,5,8,4,3,7,1,2] => [4,7,3,5,1,8,6,2] => 0001111
[4,3,8,2,5,7,6,1] => [6,7,4,3,1,8,5,2] => [4,3,8,1,5,7,6,2] => 0010111
[4,1,2,6,8,7,5,3] => [4,1,5,2,7,6,8,3] => [6,8,7,5,1,2,4,3] => 0011011
[4,1,8,3,5,2,7,6] => [4,5,8,1,3,7,2,6] => [7,1,5,3,4,2,8,6] => 0011011
[4,2,3,6,8,7,1,5] => [7,4,2,3,1,6,8,5] => [4,2,3,6,8,7,1,5] => 0010011
[4,2,8,5,7,1,3,6] => [7,4,1,2,8,3,5,6] => [4,1,8,2,3,7,5,6] => 0010011
[7,6,1,4,3,2,5,8] => [6,3,4,1,2,7,5,8] => [4,3,1,7,6,2,5,8] => 0110110
[3,4,7,1,5,6,8,2] => [7,8,3,4,1,5,6,2] => [3,4,8,1,5,6,7,2] => 0000011
[3,6,7,4,1,2,8,5] => [4,1,3,7,8,6,2,5] => [3,6,8,4,1,2,7,5] => 0010011
[6,8,2,1,5,3,7,4] => [2,8,5,7,1,6,3,4] => [6,7,2,1,5,3,8,4] => 1001011
[2,4,8,5,3,6,7,1] => [7,2,5,4,8,3,6,1] => [2,4,8,5,3,6,7,1] => 0001011
[2,4,5,3,8,6,7,1] => [7,2,5,4,3,8,6,1] => [2,4,5,3,8,6,7,1] => 0001011
[4,3,5,2,8,6,7,1] => [7,5,4,3,2,8,6,1] => [4,3,5,2,8,6,7,1] => 0011011
[4,8,5,3,2,6,7,1] => [7,3,5,4,8,2,6,1] => [4,8,5,3,2,6,7,1] => 0101011
[2,5,7,4,6,8,3,1] => [3,2,8,7,5,4,6,1] => [2,5,7,4,6,8,3,1] => 0100011
[6,4,1,8,5,2,7,3] => [4,6,5,8,7,2,1,3] => [7,2,8,5,1,6,4,3] => 0011111
[2,6,1,8,5,4,7,3] => [6,2,7,5,8,1,4,3] => [2,8,5,1,7,4,6,3] => 0001111
[3,1,6,8,5,4,7,2] => [3,7,1,5,8,6,4,2] => [6,8,5,4,7,1,3,2] => 0101011
[2,3,5,8,4,6,7,1] => [7,2,3,8,5,4,6,1] => [2,3,5,8,4,6,7,1] => 0000011
[3,5,2,8,4,6,7,1] => [7,5,3,8,2,4,6,1] => [3,8,2,5,4,6,7,1] => 0001011
[5,4,2,8,3,6,7,1] => [7,4,5,8,3,2,6,1] => [8,3,5,4,2,6,7,1] => 0011011
[5,3,4,8,2,6,7,1] => [7,8,5,3,4,2,6,1] => [5,3,4,8,2,6,7,1] => 0001011
[2,5,4,8,3,6,7,1] => [7,2,8,5,4,3,6,1] => [2,5,4,8,3,6,7,1] => 0001011
[5,8,2,3,4,6,7,1] => [7,8,2,3,5,4,6,1] => [5,8,2,3,4,6,7,1] => 0000011
[7,2,5,6,4,1,8,3] => [4,6,7,8,3,5,2,1] => [8,3,5,7,2,6,4,1] => 0010111
[6,2,1,7,8,5,4,3] => [2,6,4,5,8,1,7,3] => [7,8,5,4,2,1,6,3] => 1011101
[7,2,5,1,4,6,8,3] => [5,7,8,1,2,4,6,3] => [8,1,6,7,2,4,5,3] => 0001011
[8,2,1,7,4,5,6,3] => [2,8,6,7,4,5,1,3] => [7,4,5,6,2,1,8,3] => 1000111
[7,4,6,8,3,2,5,1] => [5,3,8,7,2,4,6,1] => [7,3,2,6,8,4,5,1] => 0101011
[1,5,8,6,3,7,2,4] => [1,7,6,2,5,8,3,4] => [1,5,8,6,2,7,3,4] => 0000111
[3,4,5,2,7,1,8,6] => [7,5,3,4,2,8,1,6] => [3,4,5,2,8,1,7,6] => 0001011
[7,5,6,1,2,3,8,4] => [6,1,2,8,7,5,3,4] => [7,5,8,1,2,3,6,4] => 0000111
[1,5,7,6,3,2,8,4] => [1,3,6,7,5,8,4,2] => [1,5,8,4,7,6,3,2] => 0100111
[8,4,6,7,3,2,5,1] => [5,3,7,8,2,4,6,1] => [8,3,2,6,7,4,5,1] => 0101011
[3,7,2,4,1,6,8,5] => [4,7,3,2,8,1,6,5] => [3,8,2,4,1,6,7,5] => 0010011
[3,8,2,4,7,6,1,5] => [6,7,3,1,2,8,4,5] => [3,8,1,7,6,2,4,5] => 0000111
[3,1,7,8,5,4,2,6] => [3,4,1,5,8,2,7,6] => [7,8,5,4,1,3,2,6] => 0111001
[3,4,5,2,1,8,6,7] => [2,5,3,4,1,8,6,7] => [3,4,5,2,1,8,6,7] => 1001001
[7,6,4,8,3,1,2,5] => [3,1,8,6,2,7,4,5] => [7,6,3,1,2,8,4,5] => 0100111
[3,2,7,8,6,1,4,5] => [6,3,2,1,4,8,7,5] => [3,2,7,8,6,1,4,5] => 0100101
[6,8,2,5,1,3,7,4] => [5,8,1,7,2,6,3,4] => [6,7,1,8,2,3,5,4] => 0001011
[5,7,4,1,3,6,2,8] => [4,7,2,6,5,3,1,8] => [5,6,2,3,7,4,1,8] => 0010110
[4,2,7,5,1,8,3,6] => [5,4,7,2,8,1,3,6] => [8,2,4,1,7,5,3,6] => 0011011
[1,5,4,6,3,8,2,7] => [1,8,6,5,4,3,2,7] => [1,5,4,6,3,8,2,7] => 0001101
[1,8,6,4,7,3,2,5] => [1,3,7,6,2,8,4,5] => [1,8,6,3,2,7,4,5] => 0100111
[5,4,8,1,7,3,6,2] => [8,6,7,5,4,3,1,2] => [5,4,7,3,6,1,8,2] => 0001111
[4,3,8,6,2,1,7,5] => [2,6,4,3,8,7,5,1] => [4,3,7,5,8,6,2,1] => 1010111
[6,4,2,8,7,3,1,5] => [3,7,4,6,2,1,8,5] => [6,4,2,8,7,3,1,5] => 0110111
[2,7,5,4,8,3,1,6] => [3,2,8,5,7,1,4,6] => [2,7,5,3,1,8,4,6] => 0101011
[6,8,7,5,2,1,3,4] => [2,5,1,3,7,6,8,4] => [6,8,7,5,2,1,3,4] => 1001011
[4,7,8,5,6,2,3,1] => [3,6,2,4,8,5,7,1] => [4,7,8,5,6,2,3,1] => 0100101
[2,7,8,5,6,1,4,3] => [6,2,4,1,8,5,7,3] => [2,4,1,7,8,5,6,3] => 0010101
[6,7,8,4,2,1,5,3] => [2,4,8,5,3,6,7,1] => [5,3,6,7,8,4,2,1] => 1011001
[4,7,8,1,2,5,6,3] => [8,1,6,4,2,5,7,3] => [4,6,1,2,5,7,8,3] => 0000101
[6,1,4,7,2,5,8,3] => [6,7,8,1,2,4,5,3] => [8,1,7,2,4,5,6,3] => 0000111
[6,7,8,3,5,4,2,1] => [2,4,5,8,1,6,7,3] => [6,7,8,2,1,5,4,3] => 1011001
[8,6,2,1,7,5,4,3] => [2,6,4,5,8,7,3,1] => [7,5,4,3,8,6,2,1] => 1011111
[8,2,4,7,1,5,3,6] => [7,8,5,2,1,3,4,6] => [5,2,8,1,7,3,4,6] => 0001011
[7,2,3,6,1,8,4,5] => [6,7,2,8,4,3,1,5] => [8,4,7,2,3,6,1,5] => 0000111
[5,2,7,3,6,8,4,1] => [4,8,5,7,3,1,6,2] => [7,3,5,1,6,8,4,2] => 0011011
[7,5,6,1,2,8,3,4] => [6,1,8,3,7,5,2,4] => [7,5,8,3,6,1,2,4] => 0000111
[4,1,5,8,6,2,7,3] => [4,6,8,1,5,7,3,2] => [5,7,1,8,6,3,4,2] => 0010111
[8,5,2,4,3,6,1,7] => [6,5,4,2,8,3,1,7] => [4,2,8,5,3,6,1,7] => 0011101
[8,5,7,2,4,1,6,3] => [4,7,6,2,8,1,5,3] => [8,2,6,5,7,1,4,3] => 0010111
[2,6,7,5,8,1,4,3] => [8,2,4,1,7,6,5,3] => [2,4,1,6,7,5,8,3] => 0010011
[8,3,2,7,5,4,6,1] => [6,3,8,5,7,4,2,1] => [7,5,4,8,3,2,6,1] => 0101111
[2,3,6,7,8,5,1,4] => [5,2,3,1,8,6,7,4] => [2,3,6,7,8,5,1,4] => 0001001
[8,3,7,1,6,4,2,5] => [7,4,6,8,3,1,2,5] => [8,3,6,4,1,7,2,5] => 0010111
[5,7,4,1,6,8,2,3] => [4,7,1,8,5,2,6,3] => [5,8,1,6,7,4,2,3] => 0010011
[1,5,8,3,6,2,4,7] => [1,6,8,2,5,3,4,7] => [1,5,8,2,6,3,4,7] => 0000101
[6,5,1,2,8,3,4,7] => [5,1,6,2,8,3,4,7] => [8,1,2,6,5,3,4,7] => 0001101
[6,1,8,5,3,2,4,7] => [6,3,5,2,8,1,4,7] => [8,5,3,2,6,1,4,7] => 0101101
[8,5,2,1,3,7,4,6] => [2,5,1,8,7,3,4,6] => [7,2,1,3,8,5,4,6] => 1001011
[5,8,1,6,7,4,2,3] => [8,4,2,7,5,1,6,3] => [5,7,4,2,6,8,1,3] => 0010011
[4,6,7,2,3,1,8,5] => [3,7,2,4,8,6,1,5] => [4,6,8,2,3,1,7,5] => 0100011
[7,2,6,5,1,3,8,4] => [5,6,2,7,8,4,3,1] => [8,4,7,2,3,6,5,1] => 0001111
[5,2,8,3,1,7,4,6] => [3,8,5,7,1,4,2,6] => [7,1,5,4,8,3,2,6] => 0101011
[5,2,1,8,3,7,4,6] => [2,5,8,7,1,4,3,6] => [7,2,1,8,4,5,3,6] => 1001011
[1,2,8,4,6,7,3,5] => [1,2,7,8,3,4,6,5] => [1,2,8,3,6,7,4,5] => 0000011
[8,2,5,7,3,4,1,6] => [4,8,7,3,2,1,5,6] => [7,3,8,2,4,1,5,6] => 0010011
[7,5,2,8,3,1,4,6] => [3,8,5,2,7,4,1,6] => [7,5,2,4,8,3,1,6] => 0101011
[8,1,6,5,4,7,2,3] => [8,7,2,5,6,1,4,3] => [6,5,2,7,4,8,1,3] => 0001111
[4,1,6,8,7,3,2,5] => [4,3,7,1,2,6,8,5] => [6,8,7,3,1,4,2,5] => 0110011
[5,1,4,6,7,3,8,2] => [5,8,7,1,4,6,3,2] => [6,7,1,4,8,3,5,2] => 0001011
[4,8,6,1,5,7,2,3] => [6,8,1,4,2,7,5,3] => [4,7,1,5,8,6,2,3] => 0000111
[1,5,3,7,2,4,8,6] => [1,7,5,2,3,8,4,6] => [1,5,2,8,3,4,7,6] => 0001011
[3,4,8,2,5,7,1,6] => [7,8,3,4,2,1,5,6] => [3,4,8,2,7,1,5,6] => 0000011
[6,7,3,4,1,2,8,5] => [4,1,7,3,8,6,2,5] => [6,8,3,4,1,2,7,5] => 0010011
[2,8,5,1,3,4,7,6] => [5,2,1,3,8,7,4,6] => [2,7,5,1,3,4,8,6] => 0001011
[5,7,1,3,6,8,2,4] => [7,8,1,2,5,3,6,4] => [5,8,1,6,7,2,3,4] => 0000011
[6,5,2,8,4,7,1,3] => [7,5,1,6,8,4,2,3] => [8,4,6,5,1,7,2,3] => 0001111
[1,4,7,5,8,6,3,2] => [1,3,6,4,8,7,2,5] => [1,4,7,3,2,8,6,5] => 0100111
[8,5,7,2,3,6,1,4] => [6,7,2,1,8,3,5,4] => [8,2,7,5,6,1,3,4] => 0000111
[6,1,8,3,4,7,2,5] => [6,7,8,3,2,1,4,5] => [8,3,7,2,6,1,4,5] => 0000111
[1,7,8,3,4,6,2,5] => [1,6,8,3,2,4,7,5] => [1,7,8,3,6,2,4,5] => 0000101
[1,8,6,3,5,2,7,4] => [1,5,6,8,4,7,2,3] => [1,7,4,8,6,2,5,3] => 0001111
[3,6,5,2,8,4,1,7] => [4,8,3,5,6,1,2,7] => [3,6,5,1,8,4,2,7] => 0011101
[7,2,8,3,5,4,1,6] => [4,5,7,8,1,2,3,6] => [8,1,7,2,5,4,3,6] => 0011011
[4,2,1,5,3,8,7,6] => [2,4,5,1,3,7,8,6] => [5,2,1,4,3,8,7,6] => 1011011
[1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => [1,4,2,7,3,5,8,6] => 0010011
[7,4,6,2,5,8,1,3] => [8,6,1,7,2,4,5,3] => [7,1,6,4,5,8,2,3] => 0000111
[6,2,3,4,7,1,5,8] => [7,6,2,3,1,4,5,8] => [6,2,3,7,1,4,5,8] => 0000110
[5,8,7,4,2,1,3,6] => [2,4,1,7,5,3,8,6] => [5,8,7,4,2,1,3,6] => 1010011
[5,2,1,3,8,6,4,7] => [2,5,1,6,3,8,4,7] => [8,6,2,1,3,5,4,7] => 1001101
[3,1,5,2,7,8,6,4] => [3,5,1,6,2,8,7,4] => [7,8,6,1,3,2,5,4] => 0101101
[6,3,2,5,1,8,7,4] => [5,3,6,7,2,1,8,4] => [8,7,3,2,6,1,5,4] => 0101111
[1,8,7,3,2,5,4,6] => [1,3,7,5,2,4,8,6] => [1,5,3,2,8,7,4,6] => 0101011
[1,2,5,4,8,7,3,6] => [1,2,7,5,4,3,8,6] => [1,2,5,4,8,7,3,6] => 0001011
[1,2,4,8,6,3,5,7] => [1,2,6,4,3,8,5,7] => [1,2,4,8,6,3,5,7] => 0000101
[2,7,4,1,8,6,3,5] => [4,2,7,6,1,8,3,5] => [2,8,6,1,7,4,3,5] => 0010111
[1,2,7,6,8,4,3,5] => [1,2,4,8,3,7,6,5] => [1,2,7,6,8,4,3,5] => 0010011
[1,6,3,2,5,7,8,4] => [1,3,6,8,2,5,7,4] => [1,7,8,3,2,5,6,4] => 0100101
[1,7,3,4,2,6,8,5] => [1,4,7,3,8,2,6,5] => [1,8,3,4,2,6,7,5] => 0010011
[1,2,5,8,4,6,3,7] => [1,2,6,8,5,4,3,7] => [1,2,5,8,4,6,3,7] => 0000101
[1,5,3,2,7,8,4,6] => [1,3,5,8,2,4,7,6] => [1,7,8,3,2,5,4,6] => 0101001
[5,2,1,3,7,4,8,6] => [2,5,1,7,3,8,4,6] => [8,2,1,3,5,4,7,6] => 1001011
[4,1,8,6,2,3,7,5] => [4,6,2,1,8,7,5,3] => [7,5,8,6,2,4,1,3] => 0010111
[1,7,6,4,3,8,5,2] => [1,5,4,8,6,7,2,3] => [1,7,6,4,2,8,5,3] => 0011111
[1,4,7,3,6,8,5,2] => [1,5,8,4,7,2,6,3] => [1,4,7,2,6,8,5,3] => 0001011
[1,2,7,6,8,4,5,3] => [1,2,5,8,4,7,6,3] => [1,2,7,6,8,4,5,3] => 0001011
[1,8,4,7,5,3,2,6] => [1,3,5,7,8,4,2,6] => [1,8,4,7,5,3,2,6] => 0101011
[6,8,5,2,1,7,4,3] => [2,5,4,8,7,6,3,1] => [6,7,4,3,8,5,2,1] => 1011011
[1,2,6,8,4,3,7,5] => [1,2,4,8,7,6,3,5] => [1,2,6,7,4,3,8,5] => 0010011
[7,5,2,8,6,1,3,4] => [6,5,2,3,8,7,1,4] => [7,5,2,3,8,6,1,4] => 0001111
[8,4,2,7,1,6,3,5] => [7,4,8,6,2,1,3,5] => [6,2,8,4,1,7,3,5] => 0010111
[7,8,4,3,1,5,6,2] => [3,4,8,6,1,5,7,2] => [6,1,5,7,8,4,3,2] => 0110101
[8,7,6,1,5,4,2,3] => [6,4,2,5,1,7,8,3] => [5,4,2,8,7,6,1,3] => 0011111
[5,3,7,2,8,1,6,4] => [8,7,5,6,3,1,2,4] => [6,3,5,1,7,2,8,4] => 0001111
[8,7,6,1,2,5,4,3] => [6,1,4,5,2,7,8,3] => [5,4,1,2,8,7,6,3] => 0011111
[8,7,6,1,4,2,5,3] => [6,4,5,1,2,7,8,3] => [5,1,4,2,8,7,6,3] => 0011111
[5,7,8,3,4,6,1,2] => [6,1,8,3,5,4,7,2] => [5,7,8,3,4,6,1,2] => 0000101
[7,5,1,3,4,2,6,8] => [5,4,1,3,7,2,6,8] => [4,1,3,7,5,2,6,8] => 0011010
[7,1,5,3,6,2,4,8] => [7,6,5,2,1,3,4,8] => [5,2,6,1,7,3,4,8] => 0001110
[1,7,3,5,8,4,2,6] => [1,4,8,7,2,3,5,6] => [1,7,2,8,4,3,5,6] => 0010011
[1,3,7,5,8,6,2,4] => [1,6,3,2,8,7,4,5] => [1,3,7,2,4,8,6,5] => 0000111
[1,7,8,5,3,6,2,4] => [1,6,5,2,8,3,7,4] => [1,7,8,5,2,6,3,4] => 0001101
[7,5,6,8,1,3,4,2] => [8,4,1,3,7,5,6,2] => [4,1,3,7,5,6,8,2] => 0010011
[5,3,4,7,8,1,2,6] => [8,1,5,3,4,2,7,6] => [5,3,4,7,8,1,2,6] => 0001001
[5,3,7,6,8,1,2,4] => [8,1,5,2,3,7,6,4] => [5,1,2,7,6,8,3,4] => 0001011
[3,7,1,2,5,8,4,6] => [7,1,3,8,2,4,5,6] => [3,8,1,2,7,4,5,6] => 0000011
[3,1,2,7,5,8,4,6] => [3,1,2,8,7,4,5,6] => [3,1,2,7,4,8,5,6] => 0100011
[3,1,2,5,7,8,6,4] => [3,1,2,6,5,8,7,4] => [3,1,2,5,7,8,6,4] => 0100101
[7,3,1,5,4,6,2,8] => [3,7,6,5,2,4,1,8] => [5,2,6,4,7,3,1,8] => 0101110
[5,3,1,7,4,6,8,2] => [3,5,8,7,2,4,6,1] => [7,2,6,8,4,5,3,1] => 0101011
[5,7,6,4,2,3,1,8] => [3,4,2,6,5,7,1,8] => [5,7,6,4,2,3,1,8] => 0110110
[7,4,8,2,5,6,1,3] => [6,8,1,7,2,5,4,3] => [7,1,5,8,4,6,2,3] => 0000111
[4,5,1,8,3,6,7,2] => [5,7,8,4,1,3,6,2] => [4,8,1,6,7,3,5,2] => 0001011
[5,6,8,4,7,3,1,2] => [3,1,7,8,5,6,4,2] => [5,6,8,4,7,3,1,2] => 0100011
[4,1,5,8,2,6,7,3] => [4,8,7,1,5,2,6,3] => [5,7,1,6,8,2,4,3] => 0010011
[2,3,5,7,1,6,4,8] => [7,2,3,6,5,1,4,8] => [2,3,5,6,1,7,4,8] => 0000110
[2,7,1,8,6,3,5,4] => [7,2,6,5,3,8,1,4] => [2,5,3,8,6,1,7,4] => 0001111
[8,6,5,3,7,4,2,1] => [2,4,7,5,6,8,1,3] => [8,6,5,2,1,7,4,3] => 1011111
[8,1,5,4,6,3,7,2] => [8,7,6,5,1,4,3,2] => [5,1,6,4,7,3,8,2] => 0001111
[4,7,5,1,8,6,2,3] => [5,7,1,4,6,8,2,3] => [4,8,6,1,7,5,2,3] => 0001111
[8,4,6,3,1,7,2,5] => [3,6,7,8,1,4,2,5] => [8,1,7,4,6,3,2,5] => 0100111
[8,4,2,5,6,3,7,1] => [7,4,8,6,3,5,2,1] => [6,3,5,8,4,2,7,1] => 0010111
[8,6,2,7,5,4,3,1] => [3,4,5,7,6,8,1,2] => [8,6,1,7,5,4,3,2] => 0111111
[5,4,7,2,8,6,1,3] => [6,8,2,5,4,7,1,3] => [5,4,7,2,8,6,1,3] => 0001111
[3,5,6,4,1,7,2,8] => [4,6,3,7,5,2,1,8] => [3,5,7,2,6,4,1,8] => 0010110
[8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,7,9] => [8,6,4,2,1,3,5,7,9] => 10101010
[9,7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,9,6,8] => [9,7,5,3,1,2,4,6,8] => 01010101
[10,8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,10,7,9] => [10,8,6,4,2,1,3,5,7,9] => 101010101
[4,2,1,6,3,5,8,7,9] => [2,4,6,1,3,5,8,7,9] => [6,2,1,4,3,5,8,7,9] => 10101010
[6,2,8,3,1,4,5,7] => [3,8,6,2,4,1,5,7] => [6,2,4,8,3,1,5,7] => 0100101
[2,7,8,3,1,4,5,6] => [3,2,8,1,4,5,7,6] => [2,7,8,3,1,4,5,6] => 0100001
[9,7,5,3,1,2,4,6,8,10] => [3,1,5,2,7,4,9,6,8,10] => [9,7,5,3,1,2,4,6,8,10] => 010101010
[1,7,8,5,3,2,6,4] => [1,3,5,8,6,4,7,2] => [1,6,4,7,8,5,3,2] => 0101101
[1,7,5,2,3,4,8,6] => [1,5,2,3,7,8,4,6] => [1,8,5,2,3,4,7,6] => 0001011
[1,7,8,5,2,4,6,3] => [1,5,8,3,6,4,7,2] => [1,6,3,4,7,8,5,2] => 0001101
[1,8,5,2,4,6,7,3] => [1,5,8,3,7,4,6,2] => [1,7,3,4,6,8,5,2] => 0001011
[1,6,7,8,3,2,4,5] => [1,3,8,2,4,6,7,5] => [1,6,7,8,3,2,4,5] => 0100001
[1,4,8,6,2,3,5,7] => [1,6,2,4,3,8,5,7] => [1,4,8,6,2,3,5,7] => 0000101
[1,8,4,5,6,7,2,3] => [1,7,2,8,4,5,6,3] => [1,8,4,5,6,7,2,3] => 0000011
[1,2,8,6,3,4,5,7] => [1,2,6,3,4,8,5,7] => [1,2,8,6,3,4,5,7] => 0000101
[1,2,7,4,3,8,5,6] => [1,2,4,7,8,5,3,6] => [1,2,8,5,7,4,3,6] => 0010011
[1,2,7,8,4,3,5,6] => [1,2,4,8,3,5,7,6] => [1,2,7,8,4,3,5,6] => 0010001
[1,8,6,7,4,2,3,5] => [1,4,2,7,3,8,6,5] => [1,8,6,7,4,2,3,5] => 0010011
[1,6,7,3,5,2,8,4] => [1,5,7,8,3,6,2,4] => [1,6,8,3,7,2,5,4] => 0001011
[1,7,4,2,3,8,5,6] => [1,4,2,7,8,5,3,6] => [1,8,5,7,4,2,3,6] => 0010011
[1,7,8,4,2,3,5,6] => [1,4,2,8,3,5,7,6] => [1,7,8,4,2,3,5,6] => 0010001
[1,7,8,3,4,2,5,6] => [1,4,8,3,2,5,7,6] => [1,7,8,3,4,2,5,6] => 0010001
[1,2,3,7,8,5,4,6] => [1,2,3,5,8,4,7,6] => [1,2,3,7,8,5,4,6] => 0001001
[1,2,7,4,6,3,8,5] => [1,2,6,7,8,4,3,5] => [1,2,8,4,7,3,6,5] => 0000111
[1,7,8,4,5,2,3,6] => [1,5,2,8,4,3,7,6] => [1,7,8,4,5,2,3,6] => 0001001
[1,7,8,3,4,5,2,6] => [1,5,8,3,4,2,7,6] => [1,7,8,3,4,5,2,6] => 0001001
[1,2,8,4,5,6,3,7] => [1,2,6,8,4,5,3,7] => [1,2,8,4,5,6,3,7] => 0000101
[1,8,4,5,6,2,3,7] => [1,6,2,8,4,5,3,7] => [1,8,4,5,6,2,3,7] => 0000101
[5,8,2,7,3,4,1,6] => [4,8,7,3,5,1,2,6] => [5,7,3,8,1,4,2,6] => 0010011
[6,8,7,2,3,4,1,5] => [4,7,2,3,1,6,8,5] => [6,8,7,2,3,4,1,5] => 0010011
[3,8,7,5,2,6,1,4] => [6,5,3,1,7,2,8,4] => [3,8,7,5,1,6,2,4] => 0001111
[8,2,3,6,4,5,1,7] => [5,8,2,6,4,3,1,7] => [6,4,8,2,3,5,1,7] => 0001101
[8,2,4,6,3,5,1,7] => [5,8,6,2,3,4,1,7] => [6,2,8,3,4,5,1,7] => 0001101
[5,8,4,2,6,7,3,1] => [3,7,4,8,5,1,6,2] => [5,8,4,1,6,7,3,2] => 0110011
[5,3,8,1,6,7,4,2] => [8,4,7,5,2,1,6,3] => [5,2,7,4,1,6,8,3] => 0011011
[5,8,2,1,3,7,6,4] => [2,8,1,6,5,7,3,4] => [5,7,6,2,1,3,8,4] => 1000111
[8,3,4,1,2,6,5,7] => [4,1,8,3,6,2,5,7] => [6,3,4,1,2,8,5,7] => 0010101
[5,1,8,2,6,4,7,3] => [5,8,7,6,1,2,4,3] => [6,1,7,2,8,4,5,3] => 0001111
[3,1,8,4,6,2,7,5] => [3,6,1,8,7,4,2,5] => [7,4,8,1,3,2,6,5] => 0100111
[8,4,1,6,5,2,3,7] => [4,8,1,5,6,2,3,7] => [6,5,1,8,4,2,3,7] => 0011101
[1,8,7,6,4,3,5,2] => [1,5,4,6,3,7,8,2] => [1,8,7,6,4,3,5,2] => 0011111
[3,1,4,7,5,8,2,6] => [3,8,1,4,7,2,5,6] => [4,7,1,3,2,8,5,6] => 0100011
[6,1,8,7,5,3,4,2] => [6,4,5,3,7,1,8,2] => [8,7,5,3,4,1,6,2] => 0011111
[2,8,7,6,4,5,1,3] => [5,2,1,6,4,7,8,3] => [2,8,7,6,4,5,1,3] => 0001111
[3,8,7,6,4,1,5,2] => [4,6,3,5,2,7,8,1] => [3,5,2,8,7,6,4,1] => 0011111
[1,3,4,7,5,2,8,6] => [1,5,3,4,7,8,2,6] => [1,3,4,8,5,2,7,6] => 0001011
[5,3,2,6,7,4,8,1] => [8,3,5,7,2,6,4,1] => [6,7,3,2,5,4,8,1] => 0101011
[7,3,5,2,8,4,6,1] => [6,5,7,8,3,4,2,1] => [8,3,7,4,5,2,6,1] => 0001111
[3,2,7,5,4,8,6,1] => [6,3,2,5,8,7,1,4] => [3,2,7,5,1,8,6,4] => 0101111
[3,7,5,2,4,8,6,1] => [6,5,3,1,8,7,4,2] => [3,7,5,1,4,8,6,2] => 0001111
[8,4,5,6,1,3,7,2] => [6,7,1,8,4,5,3,2] => [8,4,5,7,1,3,6,2] => 0000111
[3,4,7,6,8,2,5,1] => [5,8,3,4,2,7,6,1] => [3,4,7,6,8,2,5,1] => 0001011
[5,2,8,4,1,3,6,7] => [4,8,2,5,1,3,6,7] => [5,2,8,4,1,3,6,7] => 0011001
[7,6,4,1,8,2,5,3] => [4,6,7,5,2,8,3,1] => [5,2,8,3,7,6,4,1] => 0011111
[2,1,3,4,8,5,7,6] => [2,1,3,4,8,7,5,6] => [2,1,3,4,7,5,8,6] => 1000011
[1,3,2,4,5,6,9,8,7] => [1,3,2,4,5,6,8,9,7] => [1,3,2,4,5,6,9,8,7] => 01000011
[1,2,3,4,5,6,7,8,11,10,9] => [1,2,3,4,5,6,7,8,10,11,9] => [1,2,3,4,5,6,7,8,11,10,9] => 0000000011
[2,7,4,3,1,8,5,6] => [3,2,4,7,8,5,1,6] => [2,8,5,7,4,3,1,6] => 0110011
[3,5,7,4,1,8,2,6] => [4,7,3,8,5,1,2,6] => [3,5,8,1,7,4,2,6] => 0010011
[8,4,3,1,6,5,2,7] => [3,4,8,5,6,1,2,7] => [6,5,1,8,4,3,2,7] => 0111101
[2,8,4,3,1,6,5,7] => [3,2,4,8,6,1,5,7] => [2,6,4,3,1,8,5,7] => 0110101
[3,8,4,6,1,5,2,7] => [6,5,3,8,1,4,2,7] => [3,8,1,5,4,6,2,7] => 0001101
[8,1,5,6,3,4,7,2] => [8,7,6,3,1,5,4,2] => [6,3,5,7,1,4,8,2] => 0000111
[8,5,3,1,7,6,4,2] => [3,5,4,8,6,7,1,2] => [7,6,4,1,8,5,3,2] => 0111111
[8,3,5,6,1,4,7,2] => [6,7,8,1,3,5,4,2] => [8,1,5,7,3,4,6,2] => 0000111
[5,1,6,4,8,7,3,2] => [5,3,7,6,1,4,8,2] => [6,3,1,8,7,4,5,2] => 0101111
[6,8,7,3,5,4,2,1] => [2,4,5,7,1,6,8,3] => [6,8,7,2,1,5,4,3] => 1011011
[3,1,2,8,5,7,4,6] => [3,1,2,7,8,4,5,6] => [3,1,2,8,4,7,5,6] => 0100011
[8,1,2,3,4,6,9,5,7] => [8,1,2,3,9,4,5,6,7] => [9,1,2,3,4,8,5,6,7] => 00000011
[8,1,2,4,6,9,3,5,7] => [8,1,9,2,3,4,5,6,7] => [9,1,2,8,3,4,5,6,7] => 00000011
[6,1,2,3,4,5,9,8,7] => [6,1,2,3,4,5,8,9,7] => [6,1,2,3,4,5,9,8,7] => 00001011
[9,1,2,3,4,5,7,10,6,8] => [9,1,2,3,4,10,5,6,7,8] => [10,1,2,3,4,5,9,6,7,8] => 000000011
[7,3,1,2,5,8,4,6] => [3,1,7,8,2,4,5,6] => [8,3,1,2,7,4,5,6] => 0100011
[8,3,5,7,2,1,4,6] => [2,7,8,1,3,4,5,6] => [8,2,1,7,3,4,5,6] => 1000011
[2,1,3,8,5,7,4,6] => [2,1,3,7,8,4,5,6] => [2,1,3,8,4,7,5,6] => 1000011
[9,1,2,3,5,7,10,4,6,8] => [9,1,2,10,3,4,5,6,7,8] => [10,1,2,3,9,4,5,6,7,8] => 000000011
[5,4,1,6,3,7,8,2] => [4,5,8,6,2,1,7,3] => [6,2,7,8,1,5,4,3] => 0011101
[4,5,1,3,6,7,8,2] => [5,8,1,4,3,6,7,2] => [4,6,7,8,1,3,5,2] => 0001001
[5,1,7,6,3,4,8,2] => [5,8,6,3,1,7,4,2] => [7,6,3,8,1,4,5,2] => 0001111
[6,1,7,5,4,8,2,3] => [6,8,2,5,7,1,4,3] => [7,5,2,8,4,6,1,3] => 0001111
[3,7,2,1,6,8,4,5] => [2,7,3,8,4,1,6,5] => [3,8,4,6,7,2,1,5] => 1000011
[5,8,1,6,4,7,3,2] => [8,3,7,6,5,1,4,2] => [5,6,3,1,7,4,8,2] => 0100111
[3,8,6,5,7,2,4,1] => [4,7,3,2,6,8,5,1] => [3,8,6,5,7,2,4,1] => 0010111
[1,6,8,2,7,4,5,3] => [1,8,5,7,4,6,2,3] => [1,6,7,4,5,2,8,3] => 0001011
[5,7,2,1,8,4,3,6] => [2,7,4,8,5,3,1,6] => [5,8,4,3,7,2,1,6] => 1010011
[5,7,1,6,8,3,2,4] => [7,3,8,2,5,1,6,4] => [5,8,3,2,6,7,1,4] => 0100011
[5,6,2,1,8,3,4,7] => [2,6,8,3,5,1,4,7] => [5,8,3,6,2,1,4,7] => 1000101
[6,4,1,7,3,8,2,5] => [4,6,8,7,3,2,1,5] => [7,3,8,2,6,4,1,5] => 0010111
[7,2,4,6,8,3,1,5] => [3,8,7,1,2,4,6,5] => [7,1,6,8,3,2,4,5] => 0100011
[3,7,8,6,4,2,5,1] => [5,4,3,6,2,8,7,1] => [3,7,8,6,4,2,5,1] => 0011101
[3,4,7,8,6,5,1,2] => [5,1,3,4,6,8,7,2] => [3,4,7,8,6,5,1,2] => 0001101
[1,4,7,2,6,8,5,3] => [1,7,5,4,8,2,6,3] => [1,4,8,5,2,6,7,3] => 0001011
[3,2,7,6,4,1,5,8] => [4,3,2,6,1,7,5,8] => [3,2,7,6,4,1,5,8] => 0110110
[7,8,1,2,5,6,4,3] => [8,1,4,6,2,5,7,3] => [6,4,1,2,5,7,8,3] => 0010101
[7,1,3,6,8,5,2,4] => [7,5,1,2,8,3,6,4] => [8,5,1,6,7,2,3,4] => 0001011
[6,5,8,1,4,2,3,7] => [8,4,2,1,6,5,3,7] => [4,2,6,5,8,1,3,7] => 0010101
[3,8,2,4,5,1,6,7] => [5,8,3,2,4,1,6,7] => [3,8,2,4,5,1,6,7] => 0001001
[4,2,6,1,5,8,7,3] => [6,4,7,2,1,5,8,3] => [8,7,2,4,1,5,6,3] => 0010111
[7,5,1,8,4,3,6,2] => [5,7,4,6,8,1,2,3] => [8,4,1,6,2,7,5,3] => 0011111
[3,1,8,5,7,6,4,2] => [3,4,1,6,7,8,2,5] => [8,4,1,3,2,7,6,5] => 0110111
[6,2,8,7,4,1,3,5] => [4,7,2,6,3,1,8,5] => [6,2,3,8,7,4,1,5] => 0010111
[3,5,7,6,2,8,4,1] => [4,8,3,6,5,7,1,2] => [3,5,7,6,1,8,4,2] => 0010111
[2,5,7,6,1,8,3,4] => [6,2,7,1,5,8,3,4] => [2,5,8,1,7,6,3,4] => 0000111
[1,3,8,7,2,5,4,6] => [1,7,3,5,2,4,8,6] => [1,3,5,2,8,7,4,6] => 0001011
[1,5,3,2,8,7,6,4] => [1,3,5,6,2,7,8,4] => [1,8,7,6,3,2,5,4] => 0101111
[6,4,1,8,7,5,2,3] => [4,6,1,5,7,2,8,3] => [8,7,5,1,6,4,2,3] => 0011111
[6,3,1,8,7,4,2,5] => [3,6,4,7,1,2,8,5] => [8,7,4,1,6,3,2,5] => 0110111
[3,6,2,8,1,7,4,5] => [8,6,3,7,4,2,1,5] => [3,7,4,6,2,8,1,5] => 0000111
[4,2,8,5,1,7,3,6] => [5,4,8,2,7,1,3,6] => [7,2,4,1,8,5,3,6] => 0011011
[2,8,4,1,3,7,6,5] => [4,2,1,8,6,7,3,5] => [2,7,6,4,1,3,8,5] => 0010111
[3,8,1,4,7,6,5,2] => [8,5,3,1,6,7,4,2] => [3,7,6,5,1,4,8,2] => 0001111
[2,7,1,8,3,6,5,4] => [7,2,8,5,6,3,1,4] => [2,6,5,3,8,1,7,4] => 0001111
[6,2,3,8,7,5,4,1] => [4,5,2,7,6,3,8,1] => [6,2,3,8,7,5,4,1] => 0011111
[2,8,1,3,7,6,4,5] => [8,2,1,6,4,7,3,5] => [2,7,6,4,8,1,3,5] => 0000111
[2,8,6,7,5,4,3,1] => [3,2,4,5,7,8,6,1] => [2,8,6,7,5,4,3,1] => 0111011
[8,1,6,3,7,4,5,2] => [8,5,6,7,4,1,3,2] => [7,4,6,1,5,3,8,2] => 0001111
[2,6,5,7,3,8,4,1] => [4,2,8,7,6,5,1,3] => [2,6,5,7,1,8,4,3] => 0010111
[6,1,7,8,5,3,2,4] => [6,3,5,2,8,1,7,4] => [7,8,5,3,2,6,1,4] => 0101101
[6,1,7,4,2,5,8,3] => [6,4,7,8,3,1,5,2] => [8,3,7,4,1,5,6,2] => 0010111
[5,3,8,2,7,1,6,4] => [7,8,5,6,3,1,2,4] => [6,3,5,1,8,2,7,4] => 0001111
[8,2,7,1,6,5,3,4] => [7,8,5,3,6,1,2,4] => [6,5,3,8,1,7,2,4] => 0001111
[5,3,4,8,2,7,1,6] => [7,8,5,3,4,1,2,6] => [5,3,4,8,1,7,2,6] => 0001011
[8,3,4,5,2,7,1,6] => [7,5,8,3,4,1,2,6] => [8,3,4,5,1,7,2,6] => 0001011
[6,7,1,5,3,4,8,2] => [7,8,5,3,1,6,4,2] => [5,3,6,8,1,4,7,2] => 0001011
[6,5,3,4,7,1,8,2] => [7,8,5,3,6,4,1,2] => [6,5,3,4,8,1,7,2] => 0001111
[5,3,4,7,1,6,8,2] => [7,8,5,3,4,1,6,2] => [5,3,4,8,1,6,7,2] => 0001011
[7,1,5,3,4,6,8,2] => [7,8,5,3,1,4,6,2] => [5,3,8,1,4,6,7,2] => 0001011
[8,2,6,7,1,5,3,4] => [7,8,5,3,1,2,6,4] => [5,3,8,1,6,7,2,4] => 0001011
[8,3,4,7,1,5,2,6] => [7,5,8,3,1,2,4,6] => [8,3,5,1,7,2,4,6] => 0001011
[7,1,5,2,6,3,4,8] => [7,5,6,3,1,2,4,8] => [6,3,5,1,7,2,4,8] => 0001110
[8,3,4,6,7,1,5,2] => [7,5,8,3,1,4,6,2] => [8,3,5,1,4,6,7,2] => 0001011
[7,1,6,8,3,4,5,2] => [7,5,8,3,4,1,6,2] => [8,3,4,5,1,6,7,2] => 0001011
[6,7,1,8,3,4,5,2] => [7,5,8,3,4,6,1,2] => [6,8,3,4,5,1,7,2] => 0001011
[3,4,8,7,1,5,2,6] => [7,5,3,4,1,2,8,6] => [3,4,5,1,8,7,2,6] => 0001011
[3,6,7,1,8,4,5,2] => [7,5,3,8,4,6,1,2] => [3,6,8,4,5,1,7,2] => 0001011
[3,7,1,6,8,4,5,2] => [7,5,3,8,4,1,6,2] => [3,8,4,5,1,6,7,2] => 0001011
[3,8,4,6,7,1,5,2] => [7,5,3,8,1,4,6,2] => [3,8,1,5,4,6,7,2] => 0001011
[3,8,5,2,6,7,1,4] => [7,5,3,1,8,2,6,4] => [3,8,5,1,6,7,2,4] => 0001011
[3,7,1,4,8,5,2,6] => [7,5,3,1,8,2,4,6] => [3,8,5,1,7,2,4,6] => 0001011
[3,6,5,2,7,1,4,8] => [7,5,3,1,6,2,4,8] => [3,6,5,1,7,2,4,8] => 0001110
[3,7,1,4,6,5,2,8] => [7,5,3,1,6,4,2,8] => [3,6,5,1,4,7,2,8] => 0001110
[3,7,1,8,4,6,5,2] => [7,5,3,6,8,2,1,4] => [3,8,2,6,5,1,7,4] => 0001111
[6,8,3,4,7,1,5,2] => [7,5,8,3,1,6,4,2] => [6,8,3,5,1,4,7,2] => 0001011
[3,6,4,7,1,5,2,8] => [7,5,3,6,1,4,2,8] => [3,6,1,5,4,7,2,8] => 0001110
[3,7,1,6,4,5,2,8] => [7,5,3,6,4,1,2,8] => [3,6,4,5,1,7,2,8] => 0001110
[3,7,1,6,5,2,8,4] => [7,5,3,6,8,1,4,2] => [3,8,1,6,5,4,7,2] => 0001111
[8,3,5,2,7,1,6,4] => [7,5,8,6,3,1,2,4] => [6,3,8,1,5,2,7,4] => 0001111
[7,1,8,4,6,3,5,2] => [7,5,6,8,3,4,1,2] => [8,3,6,4,5,1,7,2] => 0001111
[3,4,6,7,1,5,2,8] => [7,5,3,4,1,6,2,8] => [3,4,5,1,6,7,2,8] => 0001010
[7,1,5,2,8,6,3,4] => [7,5,6,3,1,8,2,4] => [8,6,3,5,1,7,2,4] => 0001111
[3,7,1,6,4,8,5,2] => [7,5,3,8,6,1,2,4] => [3,6,1,8,5,2,7,4] => 0001111
[3,7,1,4,8,6,5,2] => [7,5,3,1,6,8,4,2] => [3,8,6,5,1,4,7,2] => 0001111
[3,7,1,4,5,2,8,6] => [7,5,3,1,4,8,2,6] => [3,5,1,4,8,2,7,6] => 0001011
[3,6,7,1,4,5,2,8] => [7,5,3,1,4,6,2,8] => [3,5,1,4,6,7,2,8] => 0001010
[3,5,2,6,7,1,4,8] => [7,5,3,1,2,6,4,8] => [3,5,1,6,7,2,4,8] => 0001010
[3,5,2,6,8,7,1,4] => [7,5,3,1,2,6,8,4] => [3,5,1,6,8,7,2,4] => 0001011
[2,1,4,3,6,5,8,7,11,12,9,10] => [2,1,4,3,6,5,8,7,12,9,11,10] => [2,1,4,3,6,5,8,7,11,12,9,10] => 10101010001
[2,1,4,3,6,5,9,10,7,8,12,11] => [2,1,4,3,6,5,10,7,9,8,12,11] => [2,1,4,3,6,5,9,10,7,8,12,11] => 10101000101
[2,1,4,3,6,5,10,11,12,7,8,9] => [2,1,4,3,6,5,12,7,8,10,11,9] => [2,1,4,3,6,5,10,11,12,7,8,9] => 10101000001
[2,1,4,3,7,8,5,6,10,9,12,11] => [2,1,4,3,8,5,7,6,10,9,12,11] => [2,1,4,3,7,8,5,6,10,9,12,11] => 10100010101
[2,1,4,3,7,8,5,6,11,12,9,10] => [2,1,4,3,8,5,7,6,12,9,11,10] => [2,1,4,3,7,8,5,6,11,12,9,10] => 10100010001
[2,1,4,3,8,9,10,5,6,7,12,11] => [2,1,4,3,10,5,6,8,9,7,12,11] => [2,1,4,3,8,9,10,5,6,7,12,11] => 10100000101
[2,1,4,3,9,10,11,12,5,6,7,8] => [2,1,4,3,12,5,6,7,9,10,11,8] => [2,1,4,3,9,10,11,12,5,6,7,8] => 10100000001
[2,1,5,6,3,4,8,7,10,9,12,11] => [2,1,6,3,5,4,8,7,10,9,12,11] => [2,1,5,6,3,4,8,7,10,9,12,11] => 10001010101
[2,1,5,6,3,4,8,7,11,12,9,10] => [2,1,6,3,5,4,8,7,12,9,11,10] => [2,1,5,6,3,4,8,7,11,12,9,10] => 10001010001
[2,1,5,6,3,4,9,10,7,8,12,11] => [2,1,6,3,5,4,10,7,9,8,12,11] => [2,1,5,6,3,4,9,10,7,8,12,11] => 10001000101
[2,1,5,6,3,4,10,11,12,7,8,9] => [2,1,6,3,5,4,12,7,8,10,11,9] => [2,1,5,6,3,4,10,11,12,7,8,9] => 10001000001
[2,1,6,7,8,3,4,5,10,9,12,11] => [2,1,8,3,4,6,7,5,10,9,12,11] => [2,1,6,7,8,3,4,5,10,9,12,11] => 10000010101
[2,1,6,7,8,3,4,5,11,12,9,10] => [2,1,8,3,4,6,7,5,12,9,11,10] => [2,1,6,7,8,3,4,5,11,12,9,10] => 10000010001
[2,1,7,8,9,10,3,4,5,6,12,11] => [2,1,10,3,4,5,7,8,9,6,12,11] => [2,1,7,8,9,10,3,4,5,6,12,11] => 10000000101
[2,1,8,9,10,11,12,3,4,5,6,7] => [2,1,12,3,4,5,6,8,9,10,11,7] => [2,1,8,9,10,11,12,3,4,5,6,7] => 10000000001
[3,4,1,2,6,5,8,7,10,9,12,11] => [4,1,3,2,6,5,8,7,10,9,12,11] => [3,4,1,2,6,5,8,7,10,9,12,11] => 00101010101
[3,4,1,2,6,5,8,7,11,12,9,10] => [4,1,3,2,6,5,8,7,12,9,11,10] => [3,4,1,2,6,5,8,7,11,12,9,10] => 00101010001
[3,4,1,2,6,5,9,10,7,8,12,11] => [4,1,3,2,6,5,10,7,9,8,12,11] => [3,4,1,2,6,5,9,10,7,8,12,11] => 00101000101
[3,4,1,2,6,5,10,11,12,7,8,9] => [4,1,3,2,6,5,12,7,8,10,11,9] => [3,4,1,2,6,5,10,11,12,7,8,9] => 00101000001
[3,4,1,2,7,8,5,6,10,9,12,11] => [4,1,3,2,8,5,7,6,10,9,12,11] => [3,4,1,2,7,8,5,6,10,9,12,11] => 00100010101
[3,4,1,2,7,8,5,6,11,12,9,10] => [4,1,3,2,8,5,7,6,12,9,11,10] => [3,4,1,2,7,8,5,6,11,12,9,10] => 00100010001
[3,4,1,2,8,9,10,5,6,7,12,11] => [4,1,3,2,10,5,6,8,9,7,12,11] => [3,4,1,2,8,9,10,5,6,7,12,11] => 00100000101
[3,4,1,2,9,10,11,12,5,6,7,8] => [4,1,3,2,12,5,6,7,9,10,11,8] => [3,4,1,2,9,10,11,12,5,6,7,8] => 00100000001
[4,5,6,1,2,3,8,7,10,9,12,11] => [6,1,2,4,5,3,8,7,10,9,12,11] => [4,5,6,1,2,3,8,7,10,9,12,11] => 00001010101
[4,5,6,1,2,3,8,7,11,12,9,10] => [6,1,2,4,5,3,8,7,12,9,11,10] => [4,5,6,1,2,3,8,7,11,12,9,10] => 00001010001
[4,5,6,1,2,3,9,10,7,8,12,11] => [6,1,2,4,5,3,10,7,9,8,12,11] => [4,5,6,1,2,3,9,10,7,8,12,11] => 00001000101
[4,5,6,1,2,3,10,11,12,7,8,9] => [6,1,2,4,5,3,12,7,8,10,11,9] => [4,5,6,1,2,3,10,11,12,7,8,9] => 00001000001
[5,6,7,8,1,2,3,4,10,9,12,11] => [8,1,2,3,5,6,7,4,10,9,12,11] => [5,6,7,8,1,2,3,4,10,9,12,11] => 00000010101
[5,6,7,8,1,2,3,4,11,12,9,10] => [8,1,2,3,5,6,7,4,12,9,11,10] => [5,6,7,8,1,2,3,4,11,12,9,10] => 00000010001
[6,7,8,9,10,1,2,3,4,5,12,11] => [10,1,2,3,4,6,7,8,9,5,12,11] => [6,7,8,9,10,1,2,3,4,5,12,11] => 00000000101
[6,2,4,3,7,5,1,8] => [5,7,4,1,6,3,2,8] => [4,1,6,3,7,5,2,8] => 0011110
[7,3,6,2,5,4,1,8] => [4,5,6,7,3,1,2,8] => [7,3,6,1,5,4,2,8] => 0011110
[8,3,7,2,5,4,1,6] => [4,5,7,8,3,2,1,6] => [8,3,7,2,5,4,1,6] => 0011011
[3,2,8,4,6,5,1,7] => [5,3,2,6,8,1,4,7] => [3,2,8,1,6,5,4,7] => 0101101
[1,4,7,3,6,5,2,8] => [1,5,6,4,7,2,3,8] => [1,4,7,2,6,5,3,8] => 0001110
[8,2,5,4,1,6,3,7] => [4,5,8,6,3,2,1,7] => [6,3,8,2,5,4,1,7] => 0011101
[1,4,8,3,7,5,2,6] => [1,5,7,4,8,3,2,6] => [1,4,8,3,7,5,2,6] => 0001011
[4,2,8,3,7,5,1,6] => [5,4,7,2,8,3,1,6] => [8,2,4,3,7,5,1,6] => 0011011
[5,2,8,3,7,4,1,6] => [4,7,5,8,3,2,1,6] => [8,3,5,2,7,4,1,6] => 0011011
[7,3,1,4,8,5,2,6] => [3,7,5,2,8,1,4,6] => [8,5,2,7,3,1,4,6] => 0101011
[1,3,7,4,8,5,2,6] => [1,5,3,8,7,4,2,6] => [1,3,7,4,8,5,2,6] => 0001011
[8,2,6,3,7,4,1,5] => [4,7,8,6,2,3,1,5] => [6,2,8,3,7,4,1,5] => 0010111
[7,2,6,3,8,4,1,5] => [4,8,7,6,2,3,1,5] => [6,2,7,3,8,4,1,5] => 0010111
[7,2,5,3,8,4,1,6] => [4,8,7,5,3,2,1,6] => [5,3,7,2,8,4,1,6] => 0011011
[8,2,4,3,7,5,1,6] => [5,7,4,1,8,2,3,6] => [4,1,8,2,7,5,3,6] => 0011011
[7,2,4,3,8,5,1,6] => [5,8,4,1,7,2,3,6] => [4,1,7,2,8,5,3,6] => 0011011
[6,2,4,3,8,5,1,7] => [5,8,4,1,6,3,2,7] => [4,1,6,3,8,5,2,7] => 0011101
[4,2,5,3,8,6,1,7] => [6,4,5,2,3,8,1,7] => [5,2,4,3,8,6,1,7] => 0011101
[4,2,5,3,1,7,6,8] => [3,5,4,1,2,7,6,8] => [4,1,5,3,2,7,6,8] => 0111010
[1,5,2,4,7,6,3,8] => [1,5,6,2,4,7,3,8] => [1,7,6,2,4,5,3,8] => 0001110
[6,2,5,3,1,7,4,8] => [3,5,6,7,1,2,4,8] => [7,1,6,3,2,5,4,8] => 0101110
[4,2,6,3,1,7,5,8] => [3,6,4,1,7,2,5,8] => [4,1,7,3,2,6,5,8] => 0110110
[3,2,6,4,1,7,5,8] => [4,3,2,6,7,1,5,8] => [3,2,7,4,1,6,5,8] => 0110110
[3,2,7,4,1,6,5,8] => [4,3,2,7,6,1,5,8] => [3,2,6,4,1,7,5,8] => 0110110
[6,2,7,3,1,5,4,8] => [3,7,6,5,2,1,4,8] => [5,2,6,3,1,7,4,8] => 0101110
[7,2,6,3,1,5,4,8] => [3,6,7,5,2,1,4,8] => [5,2,7,3,1,6,4,8] => 0101110
[8,4,1,3,7,5,2,6] => [4,8,2,5,7,1,3,6] => [7,5,2,8,4,1,3,6] => 0011011
[3,2,8,5,1,6,4,7] => [5,3,2,8,6,4,1,7] => [3,2,6,4,8,5,1,7] => 0101101
[8,3,7,4,1,5,2,6] => [4,7,5,8,2,3,1,6] => [8,2,5,3,7,4,1,6] => 0011011
[4,2,8,7,5,6,1,3] => [6,4,1,2,7,5,8,3] => [4,1,8,7,5,6,2,3] => 0010111
[6,3,5,2,4,8,1,7] => [8,5,6,2,3,4,1,7] => [6,2,5,3,4,8,1,7] => 0001101
[5,7,1,2,6,4,3,8] => [7,1,4,6,5,2,3,8] => [5,6,4,1,2,7,3,8] => 0010110
[6,2,8,5,1,4,3,7] => [5,8,4,2,6,1,3,7] => [4,2,6,1,8,5,3,7] => 0011101
[7,3,6,4,1,2,8,5] => [4,1,6,7,8,2,3,5] => [8,1,2,7,4,3,6,5] => 0010111
[5,4,7,2,3,8,1,6] => [8,7,2,5,4,1,3,6] => [5,4,7,2,8,1,3,6] => 0001011
[3,8,5,1,2,6,4,7] => [5,1,3,8,6,4,2,7] => [3,6,4,8,5,1,2,7] => 0001101
[7,1,5,3,2,6,8,4] => [7,3,5,8,1,2,6,4] => [8,3,1,5,2,6,7,4] => 0101011
[6,7,5,4,3,2,1,8,9] => [2,3,4,5,7,6,1,8,9] => [6,7,5,4,3,2,1,8,9] => 11110100
[6,2,3,5,8,7,4,1] => [4,7,1,6,3,5,8,2] => [6,1,3,5,8,7,4,2] => 0010111
[8,6,2,3,1,5,7,4] => [3,6,2,8,4,7,5,1] => [7,4,5,8,6,2,3,1] => 0100111
[2,6,3,8,7,4,5,1] => [5,2,6,7,4,3,8,1] => [2,8,7,4,6,3,5,1] => 0001111
[3,2,1,7,8,5,4,6] => [2,3,1,5,8,4,7,6] => [3,2,1,7,8,5,4,6] => 1101001
[1,7,6,3,2,4,8,5] => [1,3,6,2,7,8,5,4] => [1,8,5,7,6,3,2,4] => 0100111
[2,7,8,6,4,1,5,3] => [4,2,6,5,3,8,7,1] => [2,5,3,7,8,6,4,1] => 0011101
[1,2,3,7,5,8,4,6] => [1,2,3,8,7,4,5,6] => [1,2,3,7,4,8,5,6] => 0000011
[1,8,5,3,2,4,7,6] => [1,3,5,2,8,7,4,6] => [1,7,5,3,2,4,8,6] => 0101011
[6,7,8,2,5,1,4,3] => [5,8,4,1,2,6,7,3] => [4,1,6,7,8,2,5,3] => 0011001
[4,7,8,1,5,6,2,3] => [8,6,2,4,1,5,7,3] => [4,6,2,5,7,8,1,3] => 0000101
[3,6,7,1,8,4,2,5] => [7,4,3,8,2,6,1,5] => [3,6,8,4,2,7,1,5] => 0010011
[1,3,7,6,2,4,5,8] => [1,6,3,2,4,7,5,8] => [1,3,7,6,2,4,5,8] => 0000110
[1,6,7,2,8,3,5,4] => [1,7,8,5,3,6,2,4] => [1,5,3,6,8,2,7,4] => 0001011
[2,7,3,8,4,5,6,1] => [6,2,7,8,4,5,3,1] => [2,8,4,5,7,3,6,1] => 0000111
[7,4,1,8,5,6,2,3] => [4,7,1,6,8,5,2,3] => [8,5,6,1,7,4,2,3] => 0010111
[7,2,5,8,1,6,3,4] => [8,7,6,3,2,1,5,4] => [6,3,7,2,5,8,1,4] => 0000111
[6,4,8,1,5,7,2,3] => [8,7,2,6,1,4,5,3] => [6,2,7,4,5,8,1,3] => 0000111
[5,8,4,2,6,3,7,1] => [7,4,8,6,5,3,2,1] => [5,6,3,8,4,2,7,1] => 0010111
[6,2,5,1,4,7,8,3] => [5,6,8,1,2,4,7,3] => [7,8,1,6,2,4,5,3] => 0001101
[2,7,4,1,3,6,8,5] => [4,2,1,7,8,3,6,5] => [2,8,4,1,3,6,7,5] => 0010011
[5,7,1,2,6,4,8,3] => [7,1,8,6,5,2,4,3] => [5,6,1,2,8,4,7,3] => 0000111
[3,1,8,5,2,4,7,6] => [3,5,1,2,8,7,4,6] => [7,5,1,3,2,4,8,6] => 0101011
[5,2,1,8,4,6,7,3] => [2,5,7,8,1,4,6,3] => [8,2,1,6,7,4,5,3] => 1001011
[2,8,1,3,7,4,6,5] => [8,2,1,7,6,4,3,5] => [2,6,4,7,1,3,8,5] => 0000111
[6,8,7,9,5,4,3,2,1] => [2,3,4,5,9,6,8,7,1] => [6,8,7,9,5,4,3,2,1] => 11110011
[1,2,8,4,6,3,5,7] => [1,2,6,8,3,4,5,7] => [1,2,8,3,6,4,5,7] => 0000101
[1,3,6,8,4,5,7,2] => [1,7,3,8,4,6,5,2] => [1,3,6,8,4,5,7,2] => 0000011
[1,2,8,4,6,3,7,5] => [1,2,6,8,7,4,3,5] => [1,2,7,4,8,3,6,5] => 0000111
[4,6,3,5,7,8,1,2] => [8,1,6,4,3,5,7,2] => [4,6,3,5,7,8,1,2] => 0000101
[2,7,6,5,1,4,8,3] => [5,2,6,1,7,8,4,3] => [2,8,1,4,7,6,5,3] => 0001111
[2,7,4,8,1,3,6,5] => [8,2,1,7,6,3,4,5] => [2,6,1,3,7,4,8,5] => 0000111
[1,2,6,8,4,7,5,3] => [1,2,5,7,8,6,3,4] => [1,2,6,8,3,7,5,4] => 0001011
[2,3,8,5,4,7,1,6] => [7,2,3,5,8,1,4,6] => [2,3,8,5,1,7,4,6] => 0001011
[1,2,8,4,7,3,5,6] => [1,2,7,8,3,5,4,6] => [1,2,8,3,5,7,4,6] => 0000011
[8,4,2,3,7,1,6,5] => [7,4,2,8,6,1,3,5] => [6,4,2,8,1,3,7,5] => 0010111
[5,2,4,8,7,3,1,6] => [3,7,5,1,4,2,8,6] => [5,1,4,8,7,3,2,6] => 0101011
[3,5,7,6,1,8,2,4] => [6,7,3,1,5,8,2,4] => [3,5,8,1,7,6,2,4] => 0000111
[8,3,2,6,7,4,1,5] => [4,3,7,8,2,1,6,5] => [8,3,2,6,7,4,1,5] => 0110011
[3,8,2,4,1,7,6,5] => [4,8,3,2,6,7,1,5] => [3,7,6,2,4,1,8,5] => 0010111
[6,5,7,1,2,8,4,3] => [7,1,4,8,6,5,2,3] => [6,5,8,4,1,2,7,3] => 0010111
[7,1,5,2,6,4,3,8] => [7,5,4,6,1,2,3,8] => [6,4,1,5,2,7,3,8] => 0011110
[8,3,5,2,6,1,4,7] => [6,5,8,1,3,2,4,7] => [8,1,5,3,6,2,4,7] => 0001101
[1,8,5,6,2,7,4,3] => [1,6,4,7,8,5,2,3] => [1,8,5,7,4,2,6,3] => 0010111
[3,7,2,4,6,1,5,8] => [6,7,3,2,1,4,5,8] => [3,7,2,6,1,4,5,8] => 0000110
[8,3,5,7,2,6,1,4] => [6,7,8,1,3,2,5,4] => [8,1,7,3,5,6,2,4] => 0000111
[7,2,4,8,6,3,5,1] => [5,7,6,2,3,8,4,1] => [8,6,2,7,3,4,5,1] => 0001111
[3,5,2,1,8,4,7,6] => [2,5,3,8,1,7,4,6] => [3,7,2,1,5,4,8,6] => 1001011
[3,6,5,2,1,8,4,7] => [2,5,3,6,8,4,1,7] => [3,8,4,6,5,2,1,7] => 1001101
[6,7,2,4,3,5,8,1] => [8,7,4,2,3,6,5,1] => [4,2,6,7,3,5,8,1] => 0010011
[5,3,6,2,1,7,4,8] => [2,6,5,7,3,1,4,8] => [7,3,5,2,1,6,4,8] => 1001110
[3,2,6,5,1,7,4,8] => [5,3,2,6,7,4,1,8] => [3,2,7,4,6,5,1,8] => 0101110
[4,5,8,3,2,7,1,6] => [7,3,8,4,5,1,2,6] => [4,5,8,3,1,7,2,6] => 0100011
[2,5,4,6,1,8,7,3] => [6,2,7,5,4,1,8,3] => [2,5,4,8,7,1,6,3] => 0001111
[5,3,6,2,1,7,8,4] => [2,6,5,8,3,1,7,4] => [7,8,3,5,2,1,6,4] => 1001101
[3,6,7,4,8,2,1,5] => [2,8,3,7,1,6,4,5] => [3,6,7,2,1,8,4,5] => 1000011
[4,3,2,8,1,5,7,6] => [8,3,4,2,1,7,5,6] => [4,3,2,7,1,5,8,6] => 0110011
[7,4,8,6,2,5,1,3] => [5,6,1,8,4,7,2,3] => [7,4,8,6,1,5,2,3] => 0001111
[6,4,7,8,1,3,5,2] => [8,5,1,6,3,4,7,2] => [6,1,3,5,4,7,8,2] => 0001101
[8,4,1,7,2,5,6,3] => [4,8,7,6,3,5,2,1] => [6,3,5,7,2,8,4,1] => 0010111
[5,6,7,1,8,3,4,2] => [7,4,8,3,5,6,1,2] => [5,6,8,3,4,1,7,2] => 0010011
[6,1,7,8,3,4,5,2] => [6,5,8,3,4,1,7,2] => [7,8,3,4,5,1,6,2] => 0001101
[7,1,8,6,2,5,4,3] => [7,6,4,5,2,8,1,3] => [5,4,2,8,6,1,7,3] => 0011111
[8,5,1,7,6,4,2,3] => [5,4,1,8,6,7,2,3] => [7,6,4,1,8,5,2,3] => 0011111
[6,1,5,3,7,8,4,2] => [6,4,8,5,1,2,7,3] => [5,1,7,8,4,2,6,3] => 0011101
[1,5,7,4,6,8,3,2] => [1,3,8,7,5,4,6,2] => [1,5,7,4,6,8,3,2] => 0100011
[5,6,7,4,8,1,3,2] => [8,3,1,7,5,6,4,2] => [3,1,5,6,7,4,8,2] => 0100011
[7,5,2,1,8,4,6,3] => [2,5,7,6,8,1,3,4] => [8,2,1,6,3,7,5,4] => 1001111
[2,6,7,1,5,4,8,3] => [7,2,8,5,1,6,4,3] => [2,5,1,6,8,4,7,3] => 0001011
[1,8,2,6,4,5,7,3] => [1,8,7,6,4,2,5,3] => [1,6,4,7,2,5,8,3] => 0000111
[7,1,2,5,6,4,8,3] => [7,1,8,6,2,5,4,3] => [6,1,2,5,8,4,7,3] => 0000111
[1,6,7,2,5,4,8,3] => [1,7,8,5,2,6,4,3] => [1,5,2,6,8,4,7,3] => 0001011
[1,3,7,6,5,2,8,4] => [1,5,3,6,7,8,2,4] => [1,3,8,2,7,6,5,4] => 0001111
[8,3,7,6,5,2,1,4] => [2,5,6,1,7,8,3,4] => [8,2,1,7,6,5,3,4] => 1001111
[1,7,3,4,5,8,2,6] => [1,8,7,3,4,2,5,6] => [1,7,3,4,8,2,5,6] => 0000011
[7,1,8,4,5,6,3,2] => [7,3,6,8,4,5,1,2] => [8,4,5,6,3,1,7,2] => 0100111
[1,2,3,4,5,6,7,8,11,9,10] => [1,2,3,4,5,6,7,8,11,9,10] => [1,2,3,4,5,6,7,8,11,9,10] => 0000000001
[1,2,3,4,5,6,7,8,9,12,10,11] => [1,2,3,4,5,6,7,8,9,12,10,11] => [1,2,3,4,5,6,7,8,9,12,10,11] => 00000000001
[6,1,8,4,5,3,7,2] => [6,7,5,8,4,1,3,2] => [8,4,5,1,7,3,6,2] => 0001111
[7,5,2,4,6,8,1,3] => [8,5,1,2,7,4,6,3] => [7,5,1,4,6,8,2,3] => 0001011
[7,3,5,2,1,6,8,4] => [2,5,7,8,3,1,6,4] => [8,3,6,7,2,1,5,4] => 1001011
[8,5,1,2,6,3,7,4] => [5,1,8,6,7,3,4,2] => [7,3,6,4,8,5,1,2] => 0001111
[2,8,7,5,3,6,1,4] => [6,2,5,1,7,3,8,4] => [2,8,7,5,1,6,3,4] => 0001111
[3,4,2,6,1,7,8,5] => [6,4,3,2,8,1,7,5] => [3,4,2,7,8,1,6,5] => 0010101
[3,7,2,6,8,1,5,4] => [8,7,3,5,1,2,6,4] => [3,5,1,7,2,6,8,4] => 0001011
[1,6,4,5,7,3,8,2] => [1,8,7,6,4,5,3,2] => [1,6,4,5,7,3,8,2] => 0000111
[1,5,4,7,8,6,2,3] => [1,6,2,5,4,8,7,3] => [1,5,4,7,8,6,2,3] => 0001101
[7,3,1,6,8,2,5,4] => [3,7,8,5,1,2,6,4] => [5,1,8,3,2,6,7,4] => 0101011
[7,1,6,8,5,2,4,3] => [7,5,4,2,8,1,6,3] => [4,2,8,5,1,6,7,3] => 0011011
[3,5,8,7,6,4,1,2] => [4,1,3,6,5,7,8,2] => [3,5,8,7,6,4,1,2] => 0010111
[2,7,5,8,6,1,4,3] => [6,2,4,1,8,7,3,5] => [2,4,1,7,3,8,6,5] => 0010111
[4,3,6,2,1,7,8,5] => [2,6,4,3,8,1,7,5] => [4,3,7,8,2,1,6,5] => 1010101
[1,6,4,7,3,5,8,2] => [1,8,7,6,3,4,5,2] => [1,6,3,7,4,5,8,2] => 0000111
[4,6,2,3,1,7,8,5] => [3,6,2,4,8,1,7,5] => [4,7,8,2,3,1,6,5] => 0100101
[6,8,2,7,5,4,3,1] => [3,4,5,7,8,6,1,2] => [6,8,1,7,5,4,3,2] => 0111011
[3,4,5,6,7,8,9,10,11,1,2] => [11,1,3,4,5,6,7,8,9,10,2] => [3,4,5,6,7,8,9,10,11,1,2] => 0000000001
[8,6,3,2,1,5,4,7] => [2,3,6,5,1,8,4,7] => [5,3,2,1,8,6,4,7] => 1101101
[8,5,3,2,4,1,7,6] => [4,3,5,2,8,7,1,6] => [7,5,3,2,4,1,8,6] => 0111011
[8,5,1,6,3,4,2,7] => [5,4,8,1,6,3,2,7] => [6,1,4,3,8,5,2,7] => 0011101
[4,7,3,6,1,8,5,2] => [6,5,8,4,7,2,1,3] => [4,7,2,8,5,1,6,3] => 0001111
[7,6,2,4,1,5,8,3] => [4,6,7,3,1,8,5,2] => [8,3,5,7,6,1,4,2] => 0010111
[8,1,6,3,7,4,2,5] => [8,4,7,6,3,1,2,5] => [6,3,7,4,1,8,2,5] => 0010111
[5,3,8,2,6,7,1,4] => [7,8,5,1,3,2,6,4] => [5,1,8,3,6,7,2,4] => 0001011
[8,2,5,1,7,6,3,4] => [5,8,6,3,2,7,1,4] => [7,6,3,8,2,5,1,4] => 0001111
[7,2,6,4,3,5,8,1] => [8,7,4,6,3,2,5,1] => [6,4,3,7,2,5,8,1] => 0010111
[7,6,4,1,3,2,8,5] => [4,3,1,6,7,8,5,2] => [3,1,8,5,7,6,4,2] => 0110111
[7,3,8,2,1,5,6,4] => [2,8,7,6,1,5,3,4] => [6,2,1,5,7,3,8,4] => 1000111
[6,2,5,7,4,3,8,1] => [8,6,4,7,2,5,3,1] => [7,4,2,5,6,3,8,1] => 0010111
[7,2,4,8,5,1,6,3] => [5,8,7,3,6,2,4,1] => [6,3,7,2,4,8,5,1] => 0001111
[7,1,6,2,8,5,4,3] => [7,6,4,5,8,1,2,3] => [8,5,4,1,6,2,7,3] => 0011111
[7,2,6,8,1,3,5,4] => [8,7,1,5,3,2,6,4] => [5,1,3,7,2,6,8,4] => 0001011
[7,2,8,5,1,3,6,4] => [5,8,2,7,6,3,4,1] => [6,2,3,7,4,8,5,1] => 0001111
[7,1,8,5,3,2,6,4] => [7,3,5,8,6,4,1,2] => [6,4,8,5,3,1,7,2] => 0101111
[7,1,8,2,5,6,4,3] => [7,8,4,6,2,5,1,3] => [6,4,2,5,8,1,7,3] => 0010111
[6,1,5,7,8,3,4,2] => [6,4,8,3,1,5,7,2] => [7,8,3,4,1,5,6,2] => 0010101
[4,2,6,3,1,8,7,5] => [3,6,4,1,7,2,8,5] => [4,1,8,7,3,2,6,5] => 0110111
[7,1,4,8,3,6,2,5] => [7,6,8,1,2,3,4,5] => [8,1,6,2,7,3,4,5] => 0000111
[4,1,8,5,7,6,2,3] => [4,6,2,1,7,8,3,5] => [8,2,4,1,3,7,6,5] => 0010111
[3,7,5,8,4,2,1,6] => [2,4,3,8,7,1,5,6] => [3,7,4,2,1,8,5,6] => 1010011
[4,2,6,8,3,7,1,5] => [7,4,8,2,1,6,3,5] => [6,8,2,4,1,7,3,5] => 0010011
[7,8,4,5,1,3,6,2] => [5,6,1,8,4,3,7,2] => [7,8,4,6,1,3,5,2] => 0001101
[1,7,8,5,3,4,6,2] => [1,6,5,3,8,4,7,2] => [1,7,8,5,3,4,6,2] => 0001101
[1,5,8,3,6,4,7,2] => [1,7,8,6,5,3,4,2] => [1,5,6,3,8,4,7,2] => 0000111
[7,3,8,1,2,6,5,4] => [8,1,7,5,6,2,3,4] => [6,5,1,2,7,3,8,4] => 0001111
[8,1,4,2,3,5,7,6] => [8,4,2,1,3,7,5,6] => [4,2,7,1,3,5,8,6] => 0010011
[6,2,8,3,5,4,7,1] => [7,6,8,5,3,2,4,1] => [5,3,8,2,6,4,7,1] => 0001111
[6,1,8,2,5,4,7,3] => [6,8,7,5,2,1,4,3] => [5,2,7,1,8,4,6,3] => 0001111
[5,1,8,3,7,4,6,2] => [5,6,8,7,1,4,3,2] => [7,1,8,4,6,3,5,2] => 0001111
[8,3,7,1,5,4,6,2] => [7,6,8,5,1,4,3,2] => [5,1,8,4,6,3,7,2] => 0001111
[8,4,7,1,5,3,6,2] => [7,6,5,8,1,3,4,2] => [8,1,5,3,6,4,7,2] => 0001111
[8,2,7,3,5,1,6,4] => [5,8,7,6,3,1,2,4] => [6,3,7,1,8,2,5,4] => 0001111
[5,8,4,3,6,2,7,1] => [7,6,4,8,5,3,2,1] => [5,8,4,3,6,2,7,1] => 0010111
[1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => [1,8,3,6,2,4,7,5] => 0000111
[7,5,1,6,3,2,4,8] => [5,3,7,1,6,2,4,8] => [6,3,1,7,5,2,4,8] => 0101110
[7,3,1,4,6,2,5,8] => [3,7,6,2,1,4,5,8] => [6,2,7,3,1,4,5,8] => 0100110
[7,1,6,5,4,2,3,8] => [7,4,2,5,6,1,3,8] => [6,5,4,2,7,1,3,8] => 0011110
[2,1,7,6,3,5,8,4] => [2,1,6,7,4,8,5,3] => [2,1,8,4,5,7,6,3] => 1000111
[3,6,8,5,2,4,7,1] => [7,5,3,2,8,6,4,1] => [3,6,8,5,2,4,7,1] => 0001011
[1,3,8,4,7,2,6,5] => [1,7,3,8,6,2,4,5] => [1,3,6,2,8,4,7,5] => 0000111
[5,3,1,7,6,8,4,2] => [3,5,4,8,2,7,6,1] => [7,6,8,4,2,5,3,1] => 0111011
[6,1,7,4,3,8,5,2] => [6,5,4,8,7,1,2,3] => [7,4,1,8,5,2,6,3] => 0011111
[3,2,1,4,5,8,6,7] => [2,3,1,4,5,8,6,7] => [3,2,1,4,5,8,6,7] => 1100001
[6,7,1,3,2,8,5,4] => [7,3,1,5,8,6,2,4] => [3,1,6,8,5,2,7,4] => 0101011
[5,4,3,1,7,2,8,6] => [3,4,5,7,1,8,2,6] => [8,1,5,4,3,2,7,6] => 0111011
[5,7,8,6,2,4,3,1] => [3,4,6,1,5,8,7,2] => [5,7,8,6,1,4,3,2] => 0110101
[1,8,7,2,4,3,5,6] => [1,7,4,2,3,5,8,6] => [1,4,2,8,7,3,5,6] => 0010011
[7,5,2,4,1,8,6,3] => [4,5,7,3,6,8,1,2] => [8,6,3,7,5,1,4,2] => 0011111
[6,5,1,2,4,7,8,3] => [5,1,6,3,8,4,7,2] => [7,8,3,4,6,5,1,2] => 0001101
[6,1,3,7,8,2,4,5] => [6,8,1,2,4,3,7,5] => [7,8,1,4,6,2,3,5] => 0000101
[1,6,3,8,2,4,5,7] => [1,8,6,2,4,3,5,7] => [1,6,2,4,8,3,5,7] => 0000101
[7,6,4,3,5,1,8,2] => [5,8,4,6,3,7,1,2] => [7,6,4,3,8,1,5,2] => 0011111
[1,7,6,5,3,2,4,8] => [1,3,5,2,6,7,4,8] => [1,7,6,5,3,2,4,8] => 0101110
[2,7,6,5,4,1,3,8] => [4,2,1,5,6,7,3,8] => [2,7,6,5,4,1,3,8] => 0011110
[3,8,2,5,4,6,1,7] => [6,8,3,5,2,4,1,7] => [3,5,2,8,4,6,1,7] => 0001101
[8,1,2,6,7,3,4,5] => [8,1,7,3,4,2,6,5] => [7,3,4,6,8,1,2,5] => 0000011
[4,7,6,1,5,8,3,2] => [6,3,7,4,2,8,5,1] => [4,8,3,2,5,7,6,1] => 0100111
[1,7,6,4,2,5,8,3] => [1,4,6,7,2,8,5,3] => [1,8,2,5,7,6,4,3] => 0010111
[7,6,4,1,5,3,8,2] => [4,6,7,5,3,8,1,2] => [5,3,8,1,7,6,4,2] => 0011111
[9,8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,9,1] => [9,8,7,6,5,4,2,3,1] => 01111111
[2,3,9,8,7,6,5,4,1] => [4,2,3,5,6,7,8,9,1] => [2,3,9,8,7,6,5,4,1] => 00111111
[9,1,3,2,4,5,6,7,8] => [9,3,1,2,4,5,6,7,8] => [3,1,9,2,4,5,6,7,8] => 01000001
[6,8,7,1,5,4,3,2] => [7,3,4,5,1,6,8,2] => [5,4,3,1,6,8,7,2] => 0111011
[10,9,1,8,7,6,5,4,3,2] => [9,3,4,5,6,7,8,1,10,2] => [8,7,6,5,4,3,1,10,9,2] => 011111111
[10,9,8,7,1,6,5,4,3,2] => [7,3,4,5,6,1,8,9,10,2] => [6,5,4,3,1,10,9,8,7,2] => 011111111
[10,9,8,7,6,5,4,1,3,2] => [4,3,1,5,6,7,8,9,10,2] => [3,1,10,9,8,7,6,5,4,2] => 011111111
[2,5,3,6,4,8,7,1] => [7,2,5,6,3,4,8,1] => [2,6,3,5,4,8,7,1] => 0001111
[4,7,3,8,6,2,5,1] => [5,6,8,4,3,7,2,1] => [4,7,3,8,6,2,5,1] => 0001111
[5,4,7,3,8,2,1,6] => [2,8,7,5,4,1,3,6] => [5,4,7,2,1,8,3,6] => 1001011
[8,3,7,2,4,6,5,1] => [5,6,7,3,8,4,1,2] => [8,3,4,7,1,6,5,2] => 0001111
[6,3,5,8,2,4,1,7] => [4,8,6,2,3,5,1,7] => [6,2,5,8,3,4,1,7] => 0010101
[1,6,4,8,3,7,2,5] => [1,7,8,6,2,4,3,5] => [1,6,2,8,4,7,3,5] => 0000111
[4,3,5,7,2,6,1,8] => [6,7,4,3,5,2,1,8] => [4,3,5,7,2,6,1,8] => 0010110
[1,7,2,8,5,4,3,6] => [1,7,4,5,8,3,2,6] => [1,8,5,4,3,7,2,6] => 0011011
[5,4,8,3,6,2,1,7] => [2,6,8,5,4,3,1,7] => [5,4,8,3,6,2,1,7] => 1001101
[3,8,6,2,7,5,1,4] => [5,7,3,2,6,8,1,4] => [3,8,6,2,7,5,1,4] => 0001111
[5,8,4,2,7,3,6,1] => [6,4,8,7,5,2,3,1] => [5,7,2,8,4,3,6,1] => 0010111
[1,8,6,3,5,2,4,7] => [1,5,6,2,3,8,4,7] => [1,8,6,2,5,3,4,7] => 0001101
[8,4,2,7,3,1,6,5] => [3,7,4,8,6,2,1,5] => [6,4,2,8,3,1,7,5] => 0110111
[8,1,5,2,4,6,3,7] => [8,5,6,2,1,4,3,7] => [6,2,5,1,4,8,3,7] => 0001101
[6,1,5,7,2,3,8,4] => [6,7,2,8,1,5,3,4] => [8,2,5,7,1,3,6,4] => 0000111
[8,6,1,3,4,5,7,2] => [6,8,2,3,4,7,5,1] => [7,2,3,4,5,8,6,1] => 0000111
[6,1,3,7,2,5,8,4] => [6,7,1,8,2,3,5,4] => [8,1,7,2,3,5,6,4] => 0000111
[8,2,5,1,4,7,3,6] => [5,8,7,1,2,3,4,6] => [7,1,8,2,5,3,4,6] => 0001011
[8,1,3,6,4,2,5,7] => [8,4,1,6,2,3,5,7] => [6,4,1,8,2,3,5,7] => 0010101
[8,5,1,2,4,6,7,3] => [5,1,8,3,7,4,6,2] => [7,3,4,6,8,5,1,2] => 0001011
[2,6,8,7,3,4,5,1] => [5,2,7,3,4,6,8,1] => [2,6,8,7,3,4,5,1] => 0001011
[1,7,8,3,2,4,6,5] => [1,3,8,2,6,4,7,5] => [1,6,3,2,4,7,8,5] => 0100101
[1,7,8,5,6,4,2,3] => [1,4,2,6,8,5,7,3] => [1,7,8,5,6,4,2,3] => 0010101
[8,3,1,2,4,6,7,5] => [3,1,8,2,7,4,6,5] => [7,3,1,2,4,6,8,5] => 0100011
[3,1,7,5,8,2,4,6] => [3,8,1,2,7,4,5,6] => [7,1,3,2,4,8,5,6] => 0100011
[8,1,3,2,4,6,5,7] => [8,3,1,2,6,4,5,7] => [3,1,6,2,4,8,5,7] => 0100101
[8,2,3,7,4,1,5,6] => [4,7,1,8,2,5,3,6] => [8,1,5,7,4,2,3,6] => 0010011
[3,5,8,1,6,4,2,7] => [8,4,3,6,5,1,2,7] => [3,5,6,4,1,8,2,7] => 0010101
[6,5,1,7,3,2,8,4] => [5,3,6,7,8,2,4,1] => [8,3,2,7,4,6,5,1] => 0101111
[8,1,6,5,4,3,2,7] => [8,3,4,5,6,1,2,7] => [6,5,4,3,1,8,2,7] => 0111101
[2,6,8,1,5,4,3,7] => [8,2,4,5,1,6,3,7] => [2,5,4,1,6,8,3,7] => 0011001
[3,5,8,2,1,4,7,6] => [2,8,3,1,5,7,4,6] => [3,5,7,2,1,4,8,6] => 1000011
[5,4,7,8,3,1,2,6] => [3,1,8,5,4,2,7,6] => [5,4,7,8,3,1,2,6] => 0101001
[1,5,3,6,8,7,2,4] => [1,7,5,2,3,6,8,4] => [1,5,2,6,8,7,3,4] => 0001011
[7,6,2,8,1,4,3,5] => [8,6,4,1,3,7,2,5] => [4,1,7,6,3,8,2,5] => 0010111
[4,7,2,6,8,3,5,1] => [5,7,8,4,3,2,6,1] => [4,8,3,6,7,2,5,1] => 0001011
[6,3,2,8,7,4,5,1] => [5,3,6,7,4,2,8,1] => [8,7,4,6,3,2,5,1] => 0101111
[7,4,3,8,5,6,2,1] => [2,6,4,7,8,5,3,1] => [8,5,7,4,3,6,2,1] => 1010111
[1,2,7,6,4,5,8,3] => [1,2,8,6,4,7,5,3] => [1,2,7,6,4,5,8,3] => 0000111
[7,2,6,5,1,8,3,4] => [5,6,7,1,8,3,2,4] => [8,1,7,3,6,5,2,4] => 0001111
[6,2,5,1,7,8,4,3] => [5,6,4,8,2,1,7,3] => [7,8,4,2,6,1,5,3] => 0011101
[7,2,5,3,8,1,4,6] => [8,7,5,1,2,4,3,6] => [5,1,7,2,4,8,3,6] => 0001011
[7,2,5,3,8,4,6,1] => [6,7,5,8,2,4,3,1] => [8,2,5,4,7,3,6,1] => 0001111
[3,7,5,2,6,1,4,8] => [6,5,3,1,7,2,4,8] => [3,7,5,1,6,2,4,8] => 0001110
[5,1,7,6,2,4,8,3] => [5,6,7,3,1,8,4,2] => [8,3,7,6,1,4,5,2] => 0001111
[5,4,7,3,1,6,8,2] => [3,7,8,5,4,2,6,1] => [5,4,8,2,6,7,3,1] => 0101011
[3,4,8,1,6,5,2,7] => [8,5,3,4,6,1,2,7] => [3,4,6,5,1,8,2,7] => 0001101
[7,5,6,1,8,3,2,4] => [6,3,8,2,7,5,1,4] => [7,5,8,3,2,6,1,4] => 0100111
[4,5,6,2,7,3,1,8] => [3,7,6,4,5,1,2,8] => [4,5,6,1,7,3,2,8] => 0100110
[8,5,7,4,2,1,3,6] => [2,4,1,7,8,3,5,6] => [8,4,2,1,3,7,5,6] => 1010011
[6,3,7,1,5,2,4,8] => [7,5,6,2,1,3,4,8] => [6,2,5,1,7,3,4,8] => 0001110
[4,1,3,7,8,2,6,5] => [4,8,1,3,6,2,7,5] => [6,1,3,4,2,7,8,5] => 0010101
[7,1,4,8,6,5,2,3] => [7,5,2,1,6,8,4,3] => [8,6,5,2,4,7,1,3] => 0001111
[1,4,5,3,8,6,7,2] => [1,7,5,4,3,8,6,2] => [1,4,5,3,8,6,7,2] => 0001011
[4,6,2,7,5,8,1,3] => [8,6,1,4,7,2,5,3] => [4,7,1,6,5,8,2,3] => 0000111
[7,3,2,5,1,8,4,6] => [5,3,7,8,2,4,1,6] => [8,3,2,7,4,5,1,6] => 0101011
[8,6,2,7,5,3,1,4] => [3,5,7,1,6,8,2,4] => [8,6,1,7,5,3,2,4] => 0101111
[6,1,3,2,4,5,8,7] => [6,3,1,2,4,5,8,7] => [3,1,6,2,4,5,8,7] => 0100101
[7,4,8,5,1,3,2,6] => [5,3,1,8,7,4,2,6] => [3,1,7,4,8,5,2,6] => 0101011
[3,7,8,6,5,1,2,4] => [5,1,3,2,6,8,7,4] => [3,7,8,6,5,1,2,4] => 0001101
[4,7,8,2,5,3,1,6] => [3,5,8,4,1,2,7,6] => [4,7,8,1,5,3,2,6] => 0101001
[8,4,5,7,2,6,3,1] => [3,6,7,8,4,1,5,2] => [8,4,7,1,5,6,3,2] => 0100111
[4,5,8,6,1,3,2,7] => [6,3,1,4,5,8,2,7] => [3,1,4,5,8,6,2,7] => 0100101
[7,5,4,8,3,2,1,6] => [2,3,8,5,7,1,4,6] => [7,5,3,2,1,8,4,6] => 1101011
[6,5,8,2,7,3,1,4] => [3,7,8,2,6,5,1,4] => [6,5,8,2,7,3,1,4] => 0100111
[6,8,3,1,7,4,2,5] => [3,8,4,7,1,6,2,5] => [6,7,4,1,8,3,2,5] => 0110011
[7,8,1,3,6,4,2,5] => [8,4,1,6,2,3,7,5] => [6,4,1,7,8,2,3,5] => 0010101
[4,3,8,2,7,5,1,6] => [5,7,4,3,8,2,1,6] => [4,3,8,2,7,5,1,6] => 0011011
[5,7,3,4,2,6,8,1] => [8,4,7,3,5,2,6,1] => [5,7,3,4,2,6,8,1] => 0010011
[6,8,3,2,4,5,1,7] => [5,3,8,2,4,6,1,7] => [6,8,3,2,4,5,1,7] => 0101001
[5,8,3,4,6,1,2,7] => [6,1,8,3,5,4,2,7] => [5,8,3,4,6,1,2,7] => 0000101
[6,4,3,8,5,1,2,7] => [5,1,4,8,6,2,3,7] => [6,4,1,2,8,5,3,7] => 0011101
[6,4,8,2,3,5,1,7] => [5,8,2,6,3,4,1,7] => [6,2,3,8,4,5,1,7] => 0001101
[6,4,8,5,1,2,3,7] => [5,1,2,8,6,3,4,7] => [6,1,2,3,8,5,4,7] => 0001101
[5,7,8,2,3,1,4,6] => [3,8,2,1,5,4,7,6] => [5,7,8,2,3,1,4,6] => 0100001
[5,8,6,3,1,2,4,7] => [3,1,6,2,5,8,4,7] => [5,8,6,3,1,2,4,7] => 0100101
[5,6,1,3,2,4,8,7] => [6,3,1,2,5,4,8,7] => [3,1,5,6,2,4,8,7] => 0100101
[4,3,8,1,2,5,7,6] => [8,1,4,3,2,7,5,6] => [4,3,7,1,2,5,8,6] => 0010011
[4,6,3,2,8,5,7,1] => [7,3,6,4,8,2,5,1] => [4,8,3,2,6,5,7,1] => 0100111
[5,3,7,2,1,8,6,4] => [2,7,5,6,3,8,1,4] => [8,6,3,5,2,1,7,4] => 1001111
[7,4,3,2,5,1,8,6] => [5,3,4,7,2,8,1,6] => [8,4,3,2,5,1,7,6] => 0111011
[5,4,8,3,7,2,1,6] => [2,7,8,5,4,1,3,6] => [5,4,8,2,1,7,3,6] => 1001011
[6,1,5,4,7,2,8,3] => [6,7,8,5,1,4,2,3] => [5,1,8,4,7,2,6,3] => 0001111
[1,4,3,6,2,8,5,7] => [1,6,4,3,8,2,5,7] => [1,4,3,8,2,6,5,7] => 0010101
[4,3,6,8,2,7,5,1] => [5,7,4,3,8,6,1,2] => [4,3,6,8,1,7,5,2] => 0011011
[7,6,4,1,2,8,5,3] => [4,1,6,5,7,8,2,3] => [8,5,1,2,7,6,4,3] => 0011111
[1,6,5,3,2,8,4,7] => [1,3,5,6,8,4,2,7] => [1,8,4,6,5,3,2,7] => 0101101
[5,4,8,3,2,7,1,6] => [7,3,8,5,4,1,2,6] => [5,4,8,3,1,7,2,6] => 0101011
[1,6,5,4,7,2,8,3] => [1,7,8,5,6,4,2,3] => [1,6,5,4,8,2,7,3] => 0001111
[1,4,5,6,7,8,3,9,2] => [1,9,8,4,5,6,7,3,2] => [1,4,5,6,7,8,3,9,2] => 00000011
[2,1,5,6,7,8,9,4,3] => [2,1,4,9,5,6,7,8,3] => [2,1,5,6,7,8,9,4,3] => 10100001
[2,4,5,6,7,8,9,10,3,1] => [3,2,10,4,5,6,7,8,9,1] => [2,4,5,6,7,8,9,10,3,1] => 010000001
[1,4,8,6,3,2,7,5] => [1,3,6,4,8,7,5,2] => [1,4,7,5,8,6,3,2] => 0100111
[4,1,8,6,2,5,7,3] => [4,6,8,1,3,7,5,2] => [7,1,5,8,6,3,4,2] => 0010111
[1,5,3,6,7,4,8,2] => [1,8,5,7,3,6,4,2] => [1,6,7,3,5,4,8,2] => 0001011
[6,7,2,5,3,8,4,1] => [4,8,7,5,3,6,1,2] => [5,3,6,7,1,8,4,2] => 0011011
[4,7,6,2,5,1,8,3] => [5,6,7,4,3,8,1,2] => [4,8,3,7,6,1,5,2] => 0001111
[6,3,4,8,1,2,7,5] => [8,1,6,3,7,4,2,5] => [7,3,4,6,1,2,8,5] => 0000111
[6,2,8,1,7,4,5,3] => [8,6,5,7,4,2,1,3] => [7,4,5,2,6,1,8,3] => 0001111
[5,4,1,6,8,3,7,2] => [4,5,7,8,2,6,1,3] => [6,8,2,7,1,5,4,3] => 0011011
[7,2,1,4,8,6,3,5] => [2,7,6,1,3,8,4,5] => [8,6,2,1,7,3,4,5] => 1000111
[1,6,2,3,5,4,8,7] => [1,6,2,5,3,4,8,7] => [1,5,2,3,6,4,8,7] => 0001101
[7,2,6,5,3,4,8,1] => [8,7,5,3,6,2,4,1] => [6,5,3,7,2,4,8,1] => 0001111
[7,1,3,2,6,5,8,4] => [7,3,1,8,6,2,5,4] => [3,1,6,2,8,5,7,4] => 0100111
[7,3,1,2,5,6,8,4] => [3,1,7,8,2,5,6,4] => [8,3,1,2,5,6,7,4] => 0100011
[3,5,8,7,4,6,2,1] => [2,6,3,7,5,4,8,1] => [3,5,8,7,4,6,2,1] => 1000111
[6,8,5,7,3,4,2,1] => [2,4,7,3,8,6,5,1] => [6,8,5,7,3,4,2,1] => 1010011
[2,4,1,8,7,6,3,5] => [4,2,6,1,3,7,8,5] => [2,8,7,6,1,4,3,5] => 0010111
[1,3,5,8,4,7,2,6] => [1,7,3,8,5,2,4,6] => [1,3,5,8,2,7,4,6] => 0000011
[5,8,7,2,4,1,3,6] => [4,7,1,2,5,3,8,6] => [5,8,7,1,4,2,3,6] => 0010011
[4,1,3,5,6,2,8,7] => [4,6,1,3,5,2,8,7] => [5,6,1,3,4,2,8,7] => 0010101
[8,2,4,6,1,3,7,5] => [6,8,1,2,7,4,3,5] => [7,1,4,8,2,3,6,5] => 0000111
[8,2,3,5,6,1,4,7] => [6,8,2,1,3,5,4,7] => [8,2,5,6,1,3,4,7] => 0000101
[8,2,3,4,6,1,7,5] => [6,8,2,3,7,4,1,5] => [7,2,3,4,8,1,6,5] => 0000111
[1,7,4,3,5,2,8,6] => [1,5,4,7,3,8,2,6] => [1,8,4,3,5,2,7,6] => 0011011
[3,8,2,7,6,4,1,5] => [4,6,3,7,1,8,2,5] => [3,8,1,7,6,4,2,5] => 0010111
[8,2,1,4,6,3,7,5] => [2,8,6,1,7,4,3,5] => [7,2,1,4,6,3,8,5] => 1000111
[5,3,8,6,7,2,1,4] => [2,7,5,1,3,8,6,4] => [5,2,1,8,6,7,3,4] => 1001011
[5,8,7,2,4,6,1,3] => [6,7,1,2,5,4,8,3] => [5,8,7,1,4,6,2,3] => 0000111
[2,7,1,4,6,5,3,8] => [7,2,5,1,6,4,3,8] => [2,6,5,1,4,7,3,8] => 0001110
[6,5,8,3,7,4,2,1] => [2,4,7,8,6,5,1,3] => [6,5,8,2,1,7,4,3] => 1010111
[7,8,1,3,2,5,6,4] => [8,3,1,6,2,5,7,4] => [3,1,6,2,5,7,8,4] => 0100101
[1,3,7,8,5,2,4,6] => [1,5,3,2,8,4,7,6] => [1,3,7,8,5,2,4,6] => 0001001
[3,5,7,6,4,8,1,2] => [8,1,3,6,5,7,4,2] => [3,5,7,6,4,8,1,2] => 0000111
[1,3,7,8,5,4,2,6] => [1,4,3,5,8,2,7,6] => [1,3,7,8,5,4,2,6] => 0011001
[1,5,7,6,8,3,2,4] => [1,3,8,2,5,7,6,4] => [1,5,7,6,8,3,2,4] => 0100011
[3,5,4,7,8,6,1,2] => [6,1,3,5,4,8,7,2] => [3,5,4,7,8,6,1,2] => 0001101
[3,5,7,6,8,4,1,2] => [4,1,3,8,5,7,6,2] => [3,5,7,6,8,4,1,2] => 0010011
[1,5,7,6,8,3,4,2] => [1,4,8,3,5,7,6,2] => [1,5,7,6,8,3,4,2] => 0010011
[6,1,4,3,2,5,8,7] => [6,3,4,1,2,5,8,7] => [4,3,1,6,2,5,8,7] => 0110101
[5,3,6,7,8,4,1,2] => [4,1,8,5,2,6,7,3] => [5,1,2,6,7,8,4,3] => 0011001
[6,2,5,7,1,8,4,3] => [7,6,4,8,2,5,1,3] => [8,4,2,5,6,1,7,3] => 0010111
[1,4,8,3,6,7,2,5] => [1,7,8,4,2,3,6,5] => [1,4,8,2,6,7,3,5] => 0000011
[6,7,3,1,5,2,4,8] => [3,7,5,1,2,6,4,8] => [5,1,6,7,3,2,4,8] => 0101010
[3,5,6,7,2,1,8,4] => [2,7,3,8,5,6,1,4] => [3,5,6,8,2,1,7,4] => 1000011
[2,1,7,4,3,8,5,6] => [2,1,4,7,8,5,3,6] => [2,1,8,5,7,4,3,6] => 1010011
[6,5,1,3,4,7,8,2] => [5,6,2,3,8,4,7,1] => [7,8,2,3,4,6,5,1] => 0001101
[7,2,3,8,5,4,1,6] => [4,5,2,8,7,1,3,6] => [7,2,8,5,4,1,3,6] => 0011011
[3,4,1,7,8,2,6,5] => [4,8,3,1,6,2,7,5] => [3,6,1,4,2,7,8,5] => 0010101
[5,8,1,4,3,7,6,2] => [8,6,4,1,5,7,3,2] => [4,1,5,7,6,3,8,2] => 0010111
[3,7,1,5,6,4,8,2] => [7,8,3,6,1,5,4,2] => [3,6,1,5,8,4,7,2] => 0000111
[6,1,8,7,3,2,5,4] => [6,3,7,5,2,1,8,4] => [5,3,2,8,7,1,6,4] => 0101111
[7,8,1,5,6,2,4,3] => [8,6,4,2,1,5,7,3] => [4,2,6,1,5,7,8,3] => 0010101
[1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => [1,4,6,2,3,8,5,7] => 0000101
[1,4,7,3,2,6,5,8] => [1,3,7,4,6,2,5,8] => [1,4,6,3,2,7,5,8] => 0100110
[1,4,6,7,3,5,2,8] => [1,5,7,4,3,6,2,8] => [1,4,6,7,3,5,2,8] => 0001010
[1,4,8,2,6,7,5,3] => [1,8,5,4,7,2,6,3] => [1,4,7,5,2,6,8,3] => 0001011
[1,4,7,8,2,3,6,5] => [1,8,2,4,6,3,7,5] => [1,4,6,2,3,7,8,5] => 0000101
[2,8,3,5,7,1,4,6] => [7,2,8,1,3,4,5,6] => [2,8,1,7,3,4,5,6] => 0000011
[1,7,3,2,4,5,6,8] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => 0100010
[1,7,3,2,4,5,8,6] => [1,3,7,2,4,8,5,6] => [1,8,3,2,4,5,7,6] => 0100011
[1,4,8,7,3,2,6,5] => [1,3,7,4,6,2,8,5] => [1,4,6,3,2,8,7,5] => 0100111
[1,6,4,3,2,5,7,8] => [1,3,4,6,2,5,7,8] => [1,6,4,3,2,5,7,8] => 0110100
[5,2,1,6,8,7,4,3] => [2,5,4,7,1,6,8,3] => [6,8,7,4,2,1,5,3] => 1011011
[3,7,8,5,4,2,6,1] => [6,4,3,5,8,2,7,1] => [3,7,8,5,4,2,6,1] => 0011101
[8,3,2,7,5,6,1,4] => [6,3,8,1,7,5,2,4] => [7,5,8,3,1,6,2,4] => 0100111
[1,3,8,5,7,4,2,6] => [1,4,3,7,8,2,5,6] => [1,3,8,4,2,7,5,6] => 0010011
[1,2,3,7,5,4,6,8] => [1,2,3,5,7,4,6,8] => [1,2,3,7,5,4,6,8] => 0001010
[1,4,2,8,6,3,5,7] => [1,4,6,2,3,8,5,7] => [1,8,6,2,4,3,5,7] => 0010101
[2,8,6,3,5,7,4,1] => [4,2,7,6,1,8,5,3] => [2,8,6,1,5,7,4,3] => 0010111
[2,6,7,4,3,1,8,5] => [3,2,4,7,8,6,1,5] => [2,6,8,4,3,1,7,5] => 0110011
[2,8,6,7,4,1,5,3] => [4,2,7,5,3,8,6,1] => [2,5,3,8,6,7,4,1] => 0011011
[6,1,8,2,5,3,4,7] => [6,8,5,3,2,1,4,7] => [5,3,8,2,6,1,4,7] => 0001101
[3,6,1,5,2,7,4,8] => [6,5,3,7,1,2,4,8] => [3,7,1,5,2,6,4,8] => 0001110
[3,8,6,2,1,7,5,4] => [2,6,3,5,8,7,4,1] => [3,7,5,4,8,6,2,1] => 1001111
[5,2,4,8,3,1,7,6] => [3,8,5,1,4,7,2,6] => [5,1,4,7,3,2,8,6] => 0101011
[4,1,8,7,2,5,6,3] => [4,7,6,1,2,5,8,3] => [6,1,5,8,7,2,4,3] => 0010111
[1,5,4,2,3,6,8,7] => [1,4,2,5,3,6,8,7] => [1,5,4,2,3,6,8,7] => 0011001
[6,5,2,1,7,3,4,8] => [2,5,6,1,7,3,4,8] => [7,2,1,6,5,3,4,8] => 1001110
[3,1,2,5,8,7,4,6] => [3,1,2,7,5,4,8,6] => [3,1,2,5,8,7,4,6] => 0100011
[6,5,2,1,8,4,7,3] => [2,5,6,7,8,3,1,4] => [8,3,7,2,1,6,5,4] => 1001111
[5,6,2,4,3,8,1,7] => [8,6,4,2,5,3,1,7] => [4,2,5,6,3,8,1,7] => 0010101
[3,7,5,2,8,1,4,6] => [8,5,3,1,7,4,2,6] => [3,7,5,1,4,8,2,6] => 0001011
[8,3,2,4,1,7,6,5] => [4,3,8,2,6,7,1,5] => [7,6,3,2,4,1,8,5] => 0110111
[4,7,1,6,8,5,3,2] => [7,3,5,4,8,1,6,2] => [4,8,5,3,1,6,7,2] => 0101011
[5,4,8,6,3,7,1,2] => [7,1,6,5,4,8,3,2] => [5,4,8,6,3,7,1,2] => 0001111
[6,5,2,3,1,8,7,4] => [3,5,2,6,7,4,8,1] => [8,7,4,6,5,2,3,1] => 0101111
[3,1,4,7,2,8,6,5] => [3,7,1,4,6,8,2,5] => [4,8,6,1,3,2,7,5] => 0100111
[3,1,7,5,4,6,2,8] => [3,6,1,5,7,4,2,8] => [7,5,4,6,1,3,2,8] => 0101110
[2,5,6,3,7,4,1,8] => [4,2,7,6,5,1,3,8] => [2,5,6,1,7,4,3,8] => 0010110
[2,5,3,1,6,7,4,8] => [3,2,5,7,1,6,4,8] => [2,6,7,3,1,5,4,8] => 0101010
[2,5,3,6,1,8,4,7] => [6,2,5,8,3,1,4,7] => [2,8,3,5,1,6,4,7] => 0001101
[4,8,1,5,7,3,2,6] => [8,3,7,4,1,2,5,6] => [4,7,3,1,8,2,5,6] => 0100011
[1,7,4,5,3,2,6,8] => [1,3,5,7,4,2,6,8] => [1,7,4,5,3,2,6,8] => 0101010
[8,5,6,1,4,3,7,2] => [6,7,4,1,8,5,3,2] => [4,1,8,5,7,3,6,2] => 0010111
[2,5,4,7,8,3,1,6] => [3,2,8,5,4,1,7,6] => [2,5,4,7,8,3,1,6] => 0101001
[4,2,6,7,8,1,5,3] => [8,4,5,2,1,6,7,3] => [5,2,4,1,6,7,8,3] => 0011001
[3,7,8,2,5,1,4,6] => [5,8,3,1,2,4,7,6] => [3,7,8,1,5,2,4,6] => 0001001
[3,4,6,7,8,1,5,2] => [8,5,3,4,1,6,7,2] => [3,4,5,1,6,7,8,2] => 0001001
[5,6,3,8,1,2,4,7] => [8,1,6,2,5,3,4,7] => [5,6,1,2,8,3,4,7] => 0000101
[4,8,5,3,2,6,1,7] => [6,3,5,4,8,2,1,7] => [4,8,5,3,2,6,1,7] => 0101101
[8,1,5,3,2,4,7,6] => [8,3,5,2,1,7,4,6] => [5,3,2,7,1,4,8,6] => 0101011
[8,6,1,3,2,7,4,5] => [6,3,1,8,2,7,4,5] => [3,1,7,2,8,6,4,5] => 0100111
[6,2,3,7,8,1,5,4] => [8,6,2,5,1,3,7,4] => [5,2,6,1,3,7,8,4] => 0001101
[2,6,3,7,8,1,5,4] => [8,2,6,5,1,3,7,4] => [2,5,1,6,3,7,8,4] => 0001101
[1,4,8,5,3,2,6,7] => [1,3,5,4,8,2,6,7] => [1,4,8,5,3,2,6,7] => 0101001
[2,7,4,3,8,5,1,6] => [5,2,4,8,7,3,1,6] => [2,7,4,3,8,5,1,6] => 0011011
[5,2,1,7,8,4,3,6] => [2,5,4,8,1,3,7,6] => [7,8,4,2,1,5,3,6] => 1011001
[2,7,1,8,6,4,5,3] => [7,2,5,6,4,8,1,3] => [2,8,6,4,5,1,7,3] => 0001111
[7,2,6,1,8,3,5,4] => [6,7,8,5,3,2,1,4] => [5,3,8,2,7,1,6,4] => 0001111
[6,3,8,7,1,5,2,4] => [7,5,6,2,1,3,8,4] => [6,2,5,1,8,7,3,4] => 0001111
[6,8,2,7,3,1,5,4] => [3,7,8,5,2,6,1,4] => [5,2,6,8,3,1,7,4] => 0101011
[7,6,1,2,8,5,3,4] => [6,1,5,2,7,8,3,4] => [8,5,1,2,7,6,3,4] => 0001111
[7,5,2,8,1,6,3,4] => [8,5,7,2,6,1,3,4] => [6,2,7,5,1,8,3,4] => 0001111
[4,8,5,7,1,3,2,6] => [7,3,1,4,8,2,5,6] => [3,1,4,8,2,7,5,6] => 0100011
[3,4,7,2,1,5,8,6] => [2,7,3,4,1,8,5,6] => [3,4,8,2,1,5,7,6] => 1000011
[4,8,2,7,1,3,6,5] => [7,8,1,4,6,3,2,5] => [4,6,1,3,8,2,7,5] => 0000111
[5,2,1,8,7,4,6,3] => [2,5,6,7,1,4,8,3] => [8,7,2,1,6,4,5,3] => 1001111
[5,2,3,8,7,4,6,1] => [6,5,2,7,3,4,8,1] => [8,7,2,3,5,4,6,1] => 0001111
[6,2,1,7,8,4,3,5] => [2,6,4,8,3,1,7,5] => [7,8,4,3,6,2,1,5] => 1010101
[6,2,7,8,3,5,4,1] => [4,5,6,8,1,3,7,2] => [7,8,1,6,3,5,4,2] => 0011101
[5,2,8,6,4,1,7,3] => [4,6,5,8,3,7,1,2] => [7,3,5,1,8,6,4,2] => 0011111
[8,1,7,3,2,4,6,5] => [8,3,7,2,6,4,1,5] => [6,3,2,4,7,1,8,5] => 0100111
[5,7,8,3,4,1,6,2] => [4,6,8,3,5,1,7,2] => [5,7,8,3,6,1,4,2] => 0010101
[5,7,2,6,4,8,1,3] => [8,7,1,6,5,2,4,3] => [5,6,1,7,4,8,2,3] => 0000111
[6,8,7,3,4,5,1,2] => [5,1,7,3,4,6,8,2] => [6,8,7,3,4,5,1,2] => 0001011
[1,3,8,6,4,2,7,5] => [1,4,3,6,8,7,5,2] => [1,3,7,5,8,6,4,2] => 0010111
[1,3,5,8,4,2,7,6] => [1,4,3,8,5,7,2,6] => [1,3,5,7,4,2,8,6] => 0010011
[1,7,6,4,2,3,5,8] => [1,4,2,6,3,7,5,8] => [1,7,6,4,2,3,5,8] => 0010110
[1,3,2,5,8,6,4,7] => [1,3,2,6,5,8,4,7] => [1,3,2,5,8,6,4,7] => 0100101
[5,7,2,4,3,6,8,1] => [8,7,4,2,5,3,6,1] => [4,2,5,7,3,6,8,1] => 0010011
[5,7,3,4,6,2,8,1] => [8,6,7,3,5,4,2,1] => [5,7,3,4,6,2,8,1] => 0000111
[7,3,8,2,1,4,5,6] => [2,8,7,1,4,5,3,6] => [7,2,1,4,5,8,3,6] => 1000011
[8,2,5,3,1,7,4,6] => [3,5,8,7,1,4,2,6] => [7,1,8,4,5,3,2,6] => 0101011
[6,3,5,8,1,7,4,2] => [8,4,7,6,2,5,1,3] => [6,2,5,7,4,1,8,3] => 0010111
[3,5,4,8,6,1,7,2] => [6,8,3,5,4,7,2,1] => [3,5,4,7,2,8,6,1] => 0001111
[5,7,6,1,2,8,3,4] => [6,1,7,2,5,8,3,4] => [5,8,1,2,7,6,3,4] => 0000111
[7,4,6,5,1,8,2,3] => [5,6,1,8,7,3,2,4] => [7,1,3,8,2,6,5,4] => 0001111
[4,3,5,2,8,1,6,7] => [8,5,4,3,2,1,6,7] => [4,3,5,2,8,1,6,7] => 0011001
[2,7,4,8,5,3,1,6] => [3,2,5,8,7,4,1,6] => [2,7,4,8,5,3,1,6] => 0101011
[6,1,3,8,4,2,7,5] => [6,4,1,8,7,3,2,5] => [7,4,1,3,8,2,6,5] => 0010111
[5,8,1,2,4,3,6,7] => [8,1,4,2,5,3,6,7] => [4,1,2,5,8,3,6,7] => 0010001
[7,6,2,5,1,8,4,3] => [5,6,4,7,3,8,1,2] => [8,4,3,7,6,1,5,2] => 0011111
[8,6,3,5,7,2,4,1] => [4,7,6,2,3,8,5,1] => [8,6,2,5,7,3,4,1] => 0010111
[8,4,3,5,7,2,6,1] => [6,7,4,8,3,2,5,1] => [8,4,3,7,2,5,6,1] => 0010111
[1,7,6,8,3,5,2,4] => [1,5,8,2,3,7,6,4] => [1,7,6,8,2,5,3,4] => 0001011
[6,3,5,8,2,4,7,1] => [7,8,6,2,3,5,4,1] => [6,2,5,8,3,4,7,1] => 0000111
[1,8,5,3,7,4,2,6] => [1,4,7,5,8,3,2,6] => [1,8,5,3,7,4,2,6] => 0011011
[8,6,2,1,7,4,3,5] => [2,6,4,8,1,7,3,5] => [7,4,2,1,8,6,3,5] => 1010111
[8,3,5,1,6,7,4,2] => [5,4,7,8,2,1,6,3] => [8,2,6,7,4,1,5,3] => 0011011
[6,3,8,1,2,5,4,7] => [8,1,6,5,2,3,4,7] => [5,1,2,6,3,8,4,7] => 0001101
[8,1,5,2,6,7,4,3] => [8,5,4,7,1,2,6,3] => [7,4,1,5,2,6,8,3] => 0011011
[7,6,4,8,5,3,2,1] => [2,3,5,8,6,7,1,4] => [7,6,3,2,1,8,5,4] => 1101111
[7,6,5,3,8,4,2,1] => [2,4,8,5,6,7,1,3] => [7,6,5,2,1,8,4,3] => 1011111
[7,5,4,8,6,3,2,1] => [2,3,6,5,8,7,1,4] => [7,5,3,2,1,8,6,4] => 1101111
[7,6,5,3,2,8,4,1] => [4,3,8,5,6,7,1,2] => [7,6,5,3,1,8,4,2] => 0111111
[1,12,11,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,11,12,2] => [1,12,11,10,9,8,7,6,5,4,3,2] => 01111111111
[1,5,7,2,4,3,6,8] => [1,7,4,2,5,3,6,8] => [1,4,2,5,7,3,6,8] => 0010010
[1,6,5,3,2,4,7,8] => [1,3,5,2,6,4,7,8] => [1,6,5,3,2,4,7,8] => 0101100
[1,4,7,2,6,5,3,8] => [1,7,5,4,6,2,3,8] => [1,4,6,5,2,7,3,8] => 0001110
[1,2,7,4,3,5,8,6] => [1,2,4,7,3,8,5,6] => [1,2,8,4,3,5,7,6] => 0010011
[1,6,2,8,7,4,3,5] => [1,6,4,7,3,2,8,5] => [1,8,7,4,3,6,2,5] => 0010111
[1,7,4,2,3,5,8,6] => [1,4,2,7,3,8,5,6] => [1,8,4,2,3,5,7,6] => 0010011
[1,7,4,8,5,2,3,6] => [1,5,2,8,7,4,3,6] => [1,7,4,8,5,2,3,6] => 0001011
[1,4,8,7,5,3,2,6] => [1,3,5,4,7,2,8,6] => [1,4,8,7,5,3,2,6] => 0101011
[1,2,5,8,6,3,7,4] => [1,2,6,8,5,7,4,3] => [1,2,5,7,4,8,6,3] => 0000111
[1,2,4,7,5,8,6,3] => [1,2,6,4,8,7,3,5] => [1,2,4,7,3,8,6,5] => 0000111
[1,5,8,7,6,2,4,3] => [1,6,4,2,5,7,8,3] => [1,4,2,5,8,7,6,3] => 0010111
[1,3,5,8,7,6,2,4] => [1,6,3,2,5,7,8,4] => [1,3,5,8,7,6,2,4] => 0000111
[1,5,2,4,3,6,8,7] => [1,5,4,2,3,6,8,7] => [1,4,2,5,3,6,8,7] => 0011001
[1,6,8,7,5,3,2,4] => [1,3,5,2,7,6,8,4] => [1,6,8,7,5,3,2,4] => 0101011
[1,2,5,7,4,3,8,6] => [1,2,4,7,5,8,3,6] => [1,2,5,8,4,3,7,6] => 0010011
[1,8,5,2,6,3,4,7] => [1,5,8,2,6,3,4,7] => [1,6,2,8,5,3,4,7] => 0001101
[1,6,3,2,8,5,4,7] => [1,3,6,5,8,2,4,7] => [1,8,5,3,2,6,4,7] => 0101101
[6,3,7,5,4,2,8,1] => [8,4,5,7,6,3,2,1] => [6,3,7,5,4,2,8,1] => 0011111
[3,8,2,7,5,4,1,6] => [4,5,3,7,8,1,2,6] => [3,8,1,7,5,4,2,6] => 0011011
[5,4,8,6,7,1,2,3] => [7,1,2,5,4,8,6,3] => [5,4,8,6,7,1,2,3] => 0001011
[8,6,2,4,1,7,5,3] => [4,6,5,3,8,7,1,2] => [7,5,3,8,6,1,4,2] => 0011111
[2,7,3,6,8,5,4,1] => [4,2,5,8,7,3,6,1] => [2,7,3,6,8,5,4,1] => 0011011
[8,5,2,4,6,7,3,1] => [3,7,5,1,8,4,6,2] => [8,5,1,4,6,7,3,2] => 0101011
[2,5,8,7,1,4,3,6] => [7,2,4,1,5,3,8,6] => [2,4,1,5,8,7,3,6] => 0010011
[6,1,5,8,2,4,3,7] => [6,8,4,2,1,5,3,7] => [4,2,8,1,5,6,3,7] => 0010101
[3,4,6,5,8,2,7,1] => [7,8,3,4,6,5,2,1] => [3,4,6,5,8,2,7,1] => 0000111
[5,2,8,6,4,7,1,3] => [7,5,1,6,2,8,4,3] => [8,6,1,5,4,7,2,3] => 0001111
[4,7,5,1,6,3,8,2] => [5,7,8,4,6,2,1,3] => [4,6,2,8,1,7,5,3] => 0001111
[8,2,1,3,6,7,4,5] => [2,8,1,7,4,3,6,5] => [7,4,6,8,2,1,3,5] => 1000011
[4,3,1,6,7,5,8,2] => [3,4,8,2,7,6,5,1] => [6,7,5,8,2,4,3,1] => 0110011
[6,1,3,4,7,2,8,5] => [6,7,1,3,8,4,2,5] => [8,1,3,4,7,2,6,5] => 0000111
[8,4,7,1,5,3,2,6] => [7,3,5,8,1,2,4,6] => [8,3,1,5,2,7,4,6] => 0101011
[8,4,7,2,5,3,1,6] => [3,5,7,8,1,2,4,6] => [8,1,7,3,2,5,4,6] => 0101011
[6,3,4,7,2,1,5,8] => [2,7,6,3,1,4,5,8] => [6,3,7,2,1,4,5,8] => 1000110
[8,6,1,4,7,3,5,2] => [6,5,8,3,1,7,4,2] => [7,3,5,1,4,8,6,2] => 0001111
[5,3,6,7,2,8,4,1] => [4,8,7,5,1,6,3,2] => [5,1,6,7,3,8,4,2] => 0011011
[3,8,2,5,6,7,4,1] => [4,7,3,8,1,5,6,2] => [3,8,1,5,6,7,4,2] => 0010011
[3,8,4,1,6,7,2,5] => [4,8,3,7,1,2,6,5] => [3,7,1,6,8,4,2,5] => 0010011
[8,6,1,4,7,5,2,3] => [6,5,1,2,8,7,4,3] => [7,5,1,4,8,6,2,3] => 0001111
[5,1,8,2,6,7,4,3] => [5,8,4,7,1,2,6,3] => [7,4,1,6,8,2,5,3] => 0011011
[4,1,5,6,7,3,8,2] => [4,8,7,1,5,6,3,2] => [5,6,7,1,8,3,4,2] => 0010011
[2,8,1,5,6,7,4,3] => [8,2,4,7,1,5,6,3] => [2,7,4,1,5,6,8,3] => 0010011
[1,5,8,2,6,7,4,3] => [1,8,4,7,5,2,6,3] => [1,5,7,4,2,6,8,3] => 0010011
[8,5,3,6,7,4,2,1] => [2,4,7,5,8,1,6,3] => [8,5,2,1,6,7,4,3] => 1011011
[6,1,7,5,4,2,8,3] => [6,4,5,7,8,1,2,3] => [8,1,7,5,4,2,6,3] => 0011111
[2,7,3,6,5,1,8,4] => [5,2,6,7,8,4,3,1] => [2,8,4,7,3,6,5,1] => 0001111
[3,7,5,6,4,8,1,2] => [8,1,3,6,7,5,4,2] => [3,7,5,6,4,8,1,2] => 0000111
[1,2,4,6,8,5,3,7] => [1,2,5,4,8,6,3,7] => [1,2,4,6,8,5,3,7] => 0001001
[7,2,5,8,6,4,1,3] => [4,6,1,8,2,7,5,3] => [7,1,5,8,6,4,2,3] => 0010111
[2,4,3,8,7,1,6,5] => [7,2,4,3,6,1,8,5] => [2,4,3,6,1,8,7,5] => 0010111
[5,6,4,7,3,8,2,9,1] => [9,8,7,6,5,4,3,2,1] => [5,6,4,7,3,8,2,9,1] => 00001111
[5,6,4,7,3,9,2,8,1] => [8,9,7,6,5,4,3,2,1] => [5,6,4,7,3,9,2,8,1] => 00001111
[5,3,4,8,6,2,7,1] => [7,6,5,3,4,8,2,1] => [5,3,4,8,6,2,7,1] => 0001111
[4,5,2,6,3,8,7,1] => [7,5,6,4,2,3,8,1] => [4,6,2,5,3,8,7,1] => 0001111
[5,4,6,3,7,2,8,1,9] => [8,7,6,5,4,3,2,1,9] => [5,4,6,3,7,2,8,1,9] => 00011110
[6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => [6,5,7,4,8,3,9,2,10,1] => 000011111
[6,5,7,4,8,3,10,2,9,1] => [9,10,8,7,6,5,4,3,2,1] => [6,5,7,4,8,3,10,2,9,1] => 000011111
[3,4,5,8,6,2,7,1] => [7,6,3,4,5,8,2,1] => [3,4,5,8,6,2,7,1] => 0000111
[5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [5,6,4,7,3,8,2,9,1,10] => 000011110
[5,4,2,3,6,1,8,7] => [6,4,2,5,3,1,8,7] => [5,4,2,3,6,1,8,7] => 0011101
[4,3,7,6,8,2,1,5] => [2,8,4,3,1,7,6,5] => [4,3,7,6,8,2,1,5] => 1010011
[6,1,8,5,2,7,3,4] => [6,5,8,2,7,1,3,4] => [7,2,8,5,1,6,3,4] => 0001111
[8,7,2,6,3,1,4,5] => [3,6,7,2,4,1,8,5] => [8,7,2,4,6,3,1,5] => 0100111
[6,5,2,4,7,1,8,3] => [7,5,6,3,8,4,1,2] => [8,3,4,6,5,1,7,2] => 0001111
[5,4,2,3,7,1,8,6] => [7,4,2,5,3,8,1,6] => [5,4,2,3,8,1,7,6] => 0011011
[5,4,1,3,7,2,8,6] => [4,5,2,7,3,8,1,6] => [8,2,3,5,4,1,7,6] => 0011011
[7,6,1,5,8,4,2,3] => [6,4,1,7,2,8,5,3] => [8,4,1,5,7,6,2,3] => 0010111
[8,3,4,7,6,2,1,5] => [2,6,7,1,3,8,4,5] => [8,2,1,7,6,3,4,5] => 1000111
[8,4,5,7,1,3,2,6] => [7,3,1,8,4,2,5,6] => [3,1,8,4,7,2,5,6] => 0100011
[7,6,3,2,8,5,4,1] => [4,3,5,8,6,7,2,1] => [7,6,3,2,8,5,4,1] => 0111111
[3,2,6,8,7,1,4,5] => [7,3,2,1,4,6,8,5] => [3,2,6,8,7,1,4,5] => 0100011
[2,4,5,1,8,7,3,6] => [5,2,7,4,1,3,8,6] => [2,4,8,7,1,5,3,6] => 0001011
[4,3,7,1,8,5,2,6] => [7,5,4,3,8,2,1,6] => [4,3,8,5,2,7,1,6] => 0011011
[7,4,6,1,8,3,2,5] => [6,3,8,7,2,4,1,5] => [7,3,2,8,4,6,1,5] => 0100111
[3,2,8,5,6,7,1,4] => [7,3,2,1,8,5,6,4] => [3,2,8,5,6,7,1,4] => 0100011
[3,7,6,2,8,1,4,5] => [8,6,3,1,4,7,2,5] => [3,7,6,1,4,8,2,5] => 0000111
[7,4,2,1,6,8,3,5] => [2,4,7,8,1,3,6,5] => [8,2,1,6,7,4,3,5] => 1010011
[7,3,1,8,5,4,2,6] => [3,7,4,5,8,1,2,6] => [8,5,4,1,7,3,2,6] => 0111011
[6,8,3,2,7,1,4,5] => [7,3,8,1,4,6,2,5] => [6,8,3,1,4,7,2,5] => 0100011
[8,3,6,2,5,7,1,4] => [7,6,8,1,2,3,5,4] => [8,1,6,2,5,7,3,4] => 0000111
[3,7,2,5,6,8,1,4] => [8,7,3,1,2,5,6,4] => [3,7,1,5,6,8,2,4] => 0000011
[4,6,8,2,1,7,3,5] => [2,8,7,4,3,6,1,5] => [4,6,7,3,8,2,1,5] => 1000011
[3,7,8,2,5,6,1,4] => [6,8,3,1,2,5,7,4] => [3,7,8,1,5,6,2,4] => 0000101
[7,8,6,1,2,4,5,3] => [6,1,5,2,4,8,7,3] => [5,1,2,4,7,8,6,3] => 0001101
[1,5,3,4,7,8,6,2] => [1,6,5,3,4,8,7,2] => [1,5,3,4,7,8,6,2] => 0001101
[5,1,2,4,7,8,6,3] => [5,1,6,2,4,8,7,3] => [7,8,6,1,2,4,5,3] => 0001101
[5,1,7,8,6,2,3,4] => [5,6,2,3,1,8,7,4] => [7,8,6,2,3,5,1,4] => 0001101
[8,5,1,6,7,2,3,4] => [5,8,1,3,7,2,6,4] => [7,1,3,6,8,5,2,4] => 0001011
[7,5,1,2,4,6,8,3] => [5,1,7,3,8,4,6,2] => [8,3,4,6,7,5,1,2] => 0001011
[7,1,6,2,5,3,4,8] => [7,6,5,3,2,1,4,8] => [5,3,6,2,7,1,4,8] => 0001110
[8,1,6,2,5,3,4,7] => [8,6,5,3,2,1,4,7] => [5,3,6,2,8,1,4,7] => 0001101
[8,1,7,2,5,3,4,6] => [8,7,5,3,2,4,1,6] => [5,3,7,2,4,8,1,6] => 0001011
[8,1,2,7,4,5,6,3] => [8,1,6,7,4,5,2,3] => [7,4,5,6,1,2,8,3] => 0000111
[1,8,3,7,4,5,6,2] => [1,6,8,7,4,5,3,2] => [1,7,4,5,8,3,6,2] => 0000111
[3,1,2,8,5,6,7,4] => [3,1,2,7,8,5,6,4] => [3,1,2,8,5,6,7,4] => 0100011
[5,1,7,2,6,3,4,8] => [5,7,6,3,1,2,4,8] => [6,3,7,1,5,2,4,8] => 0001110
[5,1,8,2,6,3,4,7] => [5,8,6,3,1,2,4,7] => [6,3,8,1,5,2,4,7] => 0001101
[2,4,8,6,3,5,1,7] => [5,2,6,4,3,8,1,7] => [2,4,8,6,3,5,1,7] => 0001101
[3,5,8,4,2,1,7,6] => [2,4,3,8,5,7,1,6] => [3,5,7,4,2,1,8,6] => 1010011
[2,3,7,1,6,5,8,4] => [7,2,3,8,6,1,5,4] => [2,3,6,1,8,5,7,4] => 0000111
[4,6,3,8,1,5,2,7] => [8,5,6,4,1,3,2,7] => [4,6,1,5,3,8,2,7] => 0001101
[2,5,7,1,4,6,3,8] => [7,2,6,1,5,4,3,8] => [2,5,6,1,4,7,3,8] => 0000110
[2,5,7,3,1,4,6,8] => [3,2,7,1,5,4,6,8] => [2,5,7,3,1,4,6,8] => 0100010
[3,6,8,5,4,1,7,2] => [4,5,3,8,7,6,1,2] => [3,6,7,1,8,5,4,2] => 0011011
[2,6,8,3,5,1,7,4] => [5,2,8,7,3,6,1,4] => [2,6,7,3,8,1,5,4] => 0001011
[2,5,7,1,4,6,8,3] => [7,2,8,1,5,4,6,3] => [2,5,8,1,4,6,7,3] => 0000011
[2,4,7,1,6,8,3,5] => [7,2,8,4,3,1,6,5] => [2,4,8,3,6,7,1,5] => 0000011
[5,3,6,4,7,1,2,8] => [7,1,5,6,3,4,2,8] => [6,3,5,4,7,1,2,8] => 0001110
[7,5,4,8,3,1,2,6] => [3,1,8,5,7,2,4,6] => [7,5,3,1,2,8,4,6] => 0101011
[6,5,1,4,8,3,2,7] => [5,3,6,2,8,4,1,7] => [8,3,2,4,6,5,1,7] => 0101101
[8,7,1,4,3,2,5,6] => [7,3,4,1,2,5,8,6] => [4,3,1,8,7,2,5,6] => 0110011
[2,7,3,6,1,5,8,4] => [6,2,7,8,1,3,5,4] => [2,8,1,7,3,5,6,4] => 0000111
[6,3,7,4,2,8,1,5] => [8,4,7,6,1,2,3,5] => [6,1,7,4,2,8,3,5] => 0010111
[6,3,7,4,1,5,8,2] => [4,7,8,6,2,1,5,3] => [6,2,8,1,5,7,4,3] => 0010111
[2,4,3,7,5,1,8,6] => [5,2,4,3,7,8,1,6] => [2,4,3,8,5,1,7,6] => 0011011
[8,4,1,2,5,3,6,7] => [4,1,8,5,3,2,6,7] => [5,3,8,4,1,2,6,7] => 0011001
[7,3,8,4,2,5,1,6] => [5,4,8,7,3,1,2,6] => [7,3,8,4,1,5,2,6] => 0011011
[7,3,8,4,2,5,6,1] => [6,4,8,7,3,5,2,1] => [7,3,5,8,4,2,6,1] => 0010111
[8,7,5,1,4,2,6,3] => [5,4,7,3,6,2,8,1] => [6,3,4,2,8,7,5,1] => 0011111
[2,8,3,7,4,5,6,1] => [6,2,8,7,4,5,3,1] => [2,7,4,5,8,3,6,1] => 0000111
[1,6,7,4,3,2,5,8] => [1,3,4,7,2,6,5,8] => [1,6,7,4,3,2,5,8] => 0110010
[3,5,1,4,7,2,6,8] => [5,7,3,1,4,2,6,8] => [3,7,1,4,5,2,6,8] => 0001010
[2,5,1,4,7,8,3,6] => [5,2,8,1,4,3,7,6] => [2,7,8,1,4,5,3,6] => 0001001
[3,5,1,6,4,2,7,8] => [5,4,3,6,1,2,7,8] => [3,6,4,1,5,2,7,8] => 0011100
[7,2,4,1,3,6,8,5] => [4,7,1,2,8,3,6,5] => [8,1,4,2,3,6,7,5] => 0010011
[6,3,2,5,7,1,4,8] => [7,3,6,1,2,5,4,8] => [6,3,1,5,7,2,4,8] => 0100110
[1,6,3,2,5,7,4,8] => [1,3,6,7,2,5,4,8] => [1,7,3,2,5,6,4,8] => 0100110
[1,4,6,5,2,7,3,8] => [1,5,6,4,7,3,2,8] => [1,4,7,3,6,5,2,8] => 0001110
[5,6,2,1,4,3,7,8] => [2,6,4,1,5,3,7,8] => [4,2,1,5,6,3,7,8] => 1010100
[1,2,5,3,4,8,7,6] => [1,2,5,3,4,7,8,6] => [1,2,5,3,4,8,7,6] => 0001011
[4,8,3,6,5,1,2,7] => [5,1,6,4,8,2,3,7] => [4,8,1,2,6,5,3,7] => 0001101
[5,3,7,6,1,8,2,4] => [6,7,5,1,3,8,2,4] => [5,1,8,3,7,6,2,4] => 0001111
[4,2,7,6,5,1,8,3] => [5,4,6,2,7,8,1,3] => [8,2,4,1,7,6,5,3] => 0011111
[5,2,7,6,1,8,4,3] => [6,5,4,7,2,8,3,1] => [8,4,2,5,3,7,6,1] => 0011111
[5,8,2,6,1,7,4,3] => [6,8,4,7,5,2,1,3] => [5,7,4,2,8,1,6,3] => 0010111
[1,5,3,7,6,2,8,4] => [1,6,5,7,3,8,4,2] => [1,8,3,5,4,7,6,2] => 0001111
[1,5,8,3,6,2,7,4] => [1,6,8,7,5,3,2,4] => [1,5,7,3,8,2,6,4] => 0000111
[7,8,1,4,6,5,2,3] => [8,5,2,1,6,4,7,3] => [6,5,2,4,7,8,1,3] => 0001101
[5,8,7,3,1,6,2,4] => [3,7,6,1,5,2,8,4] => [5,6,1,8,7,3,2,4] => 0100111
[1,2,6,4,7,3,8,5] => [1,2,7,6,8,4,3,5] => [1,2,8,4,6,3,7,5] => 0000111
[5,6,2,1,4,3,8,7] => [2,6,4,1,5,3,8,7] => [4,2,1,5,6,3,8,7] => 1010101
[2,7,4,5,8,1,6,3] => [8,2,6,7,4,1,5,3] => [2,7,4,6,1,5,8,3] => 0000111
[2,6,1,8,5,4,3,7] => [6,2,4,5,8,1,3,7] => [2,8,5,4,1,6,3,7] => 0011101
[5,8,6,2,3,4,1,7] => [4,6,2,3,5,8,1,7] => [5,8,6,2,3,4,1,7] => 0010101
[5,8,6,2,1,4,3,7] => [2,6,4,1,5,8,3,7] => [4,2,1,5,8,6,3,7] => 1010101
[4,5,8,6,2,1,3,7] => [2,6,1,4,5,8,3,7] => [4,5,8,6,2,1,3,7] => 1000101
[6,2,1,5,8,4,3,7] => [2,6,4,8,1,5,3,7] => [8,4,2,1,5,6,3,7] => 1010101
[7,5,6,2,4,3,8,1] => [8,6,4,2,7,5,3,1] => [4,2,7,5,6,3,8,1] => 0010111
[2,6,3,4,1,8,5,7] => [4,2,6,3,8,1,5,7] => [2,8,3,4,1,6,5,7] => 0010101
[4,6,2,5,7,3,8,1] => [8,6,7,4,2,5,3,1] => [4,7,2,5,6,3,8,1] => 0000111
[4,2,8,5,3,6,1,7] => [6,4,5,2,8,3,1,7] => [8,5,2,4,3,6,1,7] => 0011101
[2,3,6,4,1,8,5,7] => [4,2,3,6,8,1,5,7] => [2,3,8,4,1,6,5,7] => 0010101
[7,8,4,2,5,3,6,1] => [6,4,8,5,3,2,7,1] => [5,3,7,8,4,2,6,1] => 0011101
[2,1,7,8,4,3,6,5] => [2,1,4,8,6,3,7,5] => [2,1,6,4,3,7,8,5] => 1010101
[4,2,5,7,8,3,6,1] => [6,4,8,2,5,3,7,1] => [5,7,8,2,4,3,6,1] => 0010101
[6,2,1,4,5,7,8,3] => [2,6,8,1,4,5,7,3] => [7,8,2,1,4,5,6,3] => 1000101
[2,1,7,8,4,5,6,3] => [2,1,6,8,4,5,7,3] => [2,1,7,8,4,5,6,3] => 1000101
[6,4,2,3,8,1,7,5] => [8,4,2,6,7,3,1,5] => [7,4,2,3,6,1,8,5] => 0010111
[5,4,3,1,8,6,2,7] => [3,4,5,6,1,8,2,7] => [8,6,1,5,4,3,2,7] => 0111101
[7,6,5,3,1,2,8,4] => [3,1,5,6,7,8,2,4] => [8,3,1,2,7,6,5,4] => 0101111
[6,5,4,1,2,8,7,3] => [4,1,5,6,7,2,8,3] => [8,7,1,2,6,5,4,3] => 0011111
[5,4,1,6,2,8,3,7] => [4,5,6,8,2,3,1,7] => [8,2,6,3,5,4,1,7] => 0011101
[6,5,3,1,4,7,8,2] => [3,5,6,1,8,4,7,2] => [7,8,1,4,6,5,3,2] => 0101101
[6,5,1,4,2,3,7,8] => [5,4,2,1,6,3,7,8] => [4,2,6,5,1,3,7,8] => 0011100
[5,1,3,2,6,4,7,8] => [5,3,1,6,2,4,7,8] => [3,1,6,2,5,4,7,8] => 0101100
[4,7,8,2,3,6,1,5] => [6,8,2,4,1,3,7,5] => [4,7,8,2,6,1,3,5] => 0000101
[4,2,5,1,8,6,7,3] => [5,4,7,2,1,8,6,3] => [8,6,7,2,4,1,5,3] => 0011011
[7,5,8,1,4,2,6,3] => [8,4,6,1,7,2,5,3] => [7,1,4,2,6,5,8,3] => 0010111
[4,1,3,6,2,8,5,7] => [4,6,1,3,8,2,5,7] => [8,1,3,4,2,6,5,7] => 0010101
[7,3,5,1,6,4,8,2] => [5,8,7,6,3,1,4,2] => [6,3,7,1,8,4,5,2] => 0001111
[7,5,2,3,6,1,4,8] => [6,5,2,1,7,3,4,8] => [7,5,2,6,1,3,4,8] => 0001110
[7,5,1,2,4,8,3,6] => [5,1,7,3,8,2,4,6] => [8,3,7,5,1,2,4,6] => 0001011
[6,2,5,8,4,7,1,3] => [7,6,1,8,2,5,4,3] => [8,1,5,6,4,7,2,3] => 0000111
[5,1,4,7,2,6,8,3] => [5,7,8,1,4,2,6,3] => [8,1,4,6,7,2,5,3] => 0001011
[5,6,2,3,8,1,4,7] => [8,6,2,1,5,3,4,7] => [5,6,2,8,1,3,4,7] => 0000101
[4,7,1,3,8,6,2,5] => [7,6,1,4,2,8,3,5] => [4,8,6,1,7,2,3,5] => 0000111
[2,8,4,6,1,3,7,5] => [6,2,1,8,7,4,3,5] => [2,7,4,8,1,3,6,5] => 0000111
[8,3,7,6,2,1,5,4] => [2,6,7,5,3,8,1,4] => [5,3,8,2,1,7,6,4] => 1001111
[8,5,2,7,6,1,4,3] => [6,5,4,2,7,8,1,3] => [4,2,8,5,1,7,6,3] => 0011111
[2,6,3,7,5,4,8,1] => [8,2,6,5,7,3,4,1] => [2,7,5,3,6,4,8,1] => 0001111
[7,1,3,4,5,8,6,2] => [7,6,1,3,4,8,5,2] => [8,6,1,3,4,5,7,2] => 0000111
[1,8,2,6,4,7,3,5] => [1,8,7,6,3,2,4,5] => [1,6,3,7,2,8,4,5] => 0000111
[2,8,5,1,4,7,3,6] => [5,2,8,3,7,1,4,6] => [2,7,3,8,5,1,4,6] => 0001011
[1,6,7,5,2,8,4,3] => [1,5,4,7,8,6,3,2] => [1,6,8,4,3,7,5,2] => 0011011
[2,7,3,8,4,5,1,6] => [5,2,7,8,4,1,3,6] => [2,8,4,7,1,5,3,6] => 0001011
[8,5,2,3,7,1,4,6] => [7,5,2,1,8,4,3,6] => [8,5,2,4,7,1,3,6] => 0001011
[2,4,5,7,3,6,1,8] => [6,2,7,4,5,3,1,8] => [2,4,5,7,3,6,1,8] => 0000110
[2,5,3,1,6,4,7,8] => [3,2,5,6,1,4,7,8] => [2,6,3,1,5,4,7,8] => 0101100
[1,6,5,8,7,4,2,3] => [1,4,2,7,6,5,8,3] => [1,6,5,8,7,4,2,3] => 0010111
[6,1,3,8,7,5,2,4] => [6,5,1,2,7,3,8,4] => [8,7,5,1,6,2,3,4] => 0001111
[3,6,7,5,8,2,4,1] => [4,8,3,2,7,6,5,1] => [3,6,7,5,8,2,4,1] => 0010011
[1,7,4,5,2,8,6,3] => [1,5,6,8,3,7,2,4] => [1,7,3,8,6,2,5,4] => 0001111
[3,6,7,4,2,8,5,1] => [5,4,3,8,7,6,1,2] => [3,6,7,4,1,8,5,2] => 0011011
[4,6,3,2,7,8,5,1] => [5,3,8,4,6,1,7,2] => [4,6,3,1,7,8,5,2] => 0101101
[7,2,8,5,6,4,3,1] => [3,4,6,7,8,5,2,1] => [8,5,7,2,6,4,3,1] => 0110111
[7,6,8,5,4,1,3,2] => [4,3,1,5,8,7,6,2] => [3,1,7,6,8,5,4,2] => 0111011
[4,1,3,8,6,2,7,5] => [4,6,1,3,8,7,5,2] => [7,5,8,6,1,3,4,2] => 0010111
[3,5,8,2,1,6,7,4] => [2,8,3,7,5,1,6,4] => [3,5,7,2,1,6,8,4] => 1000011
[5,1,2,8,4,6,7,3] => [5,1,7,8,2,4,6,3] => [8,1,2,6,7,4,5,3] => 0001011
[8,2,5,6,7,4,3,1] => [3,4,7,8,2,5,6,1] => [8,2,5,6,7,4,3,1] => 0110011
[8,2,5,3,4,7,6,1] => [6,7,5,3,1,8,4,2] => [5,3,8,1,4,7,6,2] => 0001111
[8,2,5,3,4,7,1,6] => [7,8,5,3,2,1,4,6] => [5,3,8,2,7,1,4,6] => 0001011
[7,1,2,3,6,8,4,5] => [7,1,2,8,4,3,6,5] => [8,4,6,7,1,2,3,5] => 0000011
[7,1,6,8,5,3,4,2] => [7,4,5,3,8,1,6,2] => [8,5,3,4,1,6,7,2] => 0011011
[3,1,8,4,6,5,2,7] => [3,5,1,6,8,2,4,7] => [8,1,3,2,6,5,4,7] => 0101101
[4,1,3,8,6,5,2,7] => [4,5,1,3,6,8,2,7] => [8,6,5,1,3,4,2,7] => 0011101
[8,2,4,1,6,5,7,3] => [4,8,7,2,6,1,5,3] => [6,2,7,5,8,1,4,3] => 0010111
[7,6,2,8,3,1,5,4] => [3,8,6,5,2,7,1,4] => [5,2,7,6,3,1,8,4] => 0101111
[7,1,6,4,8,3,2,5] => [7,3,8,6,2,1,4,5] => [6,3,2,8,1,7,4,5] => 0100111
[6,5,2,4,3,1,8,7] => [3,4,5,1,6,2,8,7] => [6,5,1,4,3,2,8,7] => 0111101
[8,2,5,3,4,6,1,7] => [6,8,5,3,2,4,1,7] => [5,3,8,2,4,6,1,7] => 0001101
[6,5,2,4,3,1,7,8] => [3,4,5,1,6,2,7,8] => [6,5,1,4,3,2,7,8] => 0111100
[8,1,6,4,5,2,7,3] => [8,5,7,6,4,1,2,3] => [6,4,7,1,5,2,8,3] => 0001111
[8,6,4,1,2,3,7,5] => [4,1,2,6,8,7,5,3] => [7,5,8,6,4,1,2,3] => 0010111
[8,6,4,2,5,3,1,7] => [3,5,4,6,1,8,2,7] => [8,6,4,1,5,3,2,7] => 0111101
[8,6,4,2,7,3,1,5] => [3,7,4,6,2,8,1,5] => [8,6,4,2,7,3,1,5] => 0110111
[8,6,4,1,5,7,2,3] => [4,6,2,8,1,7,5,3] => [7,2,5,8,6,4,1,3] => 0010111
[8,6,4,2,5,7,1,3] => [7,4,1,6,2,8,5,3] => [8,6,4,1,5,7,2,3] => 0010111
[8,7,1,4,6,5,2,3] => [7,5,2,1,6,4,8,3] => [6,5,2,4,8,7,1,3] => 0001111
[5,3,8,6,4,1,7,2] => [4,6,8,5,1,7,3,2] => [5,1,7,3,8,6,4,2] => 0011111
[6,1,2,3,4,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => 00001000
[5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => 00010000
[4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => 00100000
[7,4,5,1,2,8,6,3] => [5,1,6,8,3,7,2,4] => [7,3,8,6,1,2,5,4] => 0001111
[6,4,7,1,8,5,2,3] => [7,5,2,8,6,3,1,4] => [6,2,3,8,5,1,7,4] => 0001111
[5,7,4,2,3,8,6,1] => [6,4,1,8,5,7,3,2] => [5,7,4,1,3,8,6,2] => 0010111
[4,8,5,2,1,7,3,6] => [2,5,8,4,7,1,3,6] => [4,7,2,1,8,5,3,6] => 1001011
[8,5,7,6,1,2,4,3] => [6,1,4,2,7,8,3,5] => [4,1,2,8,3,7,6,5] => 0010111
[6,8,7,5,2,4,1,3] => [4,5,1,2,7,6,8,3] => [6,8,7,5,1,4,2,3] => 0011011
[5,7,6,8,4,1,3,2] => [4,3,1,8,5,7,6,2] => [3,1,5,7,6,8,4,2] => 0110011
[5,3,1,7,4,8,6,2] => [3,5,6,8,2,7,1,4] => [7,2,8,6,3,1,5,4] => 0101111
[8,6,4,1,7,3,2,5] => [4,3,6,8,2,7,1,5] => [7,3,2,8,6,4,1,5] => 0110111
[3,6,2,8,7,4,1,5] => [4,7,3,6,2,1,8,5] => [3,6,2,8,7,4,1,5] => 0010111
[6,8,4,2,7,3,1,5] => [3,7,4,8,2,6,1,5] => [6,8,4,2,7,3,1,5] => 0110011
[9,8,2,3,4,5,6,7,1] => [7,8,2,3,4,5,6,9,1] => [9,8,2,3,4,5,6,7,1] => 00000111
[9,8,7,6,4,5,3,2,1] => [2,3,5,6,4,7,8,9,1] => [9,8,7,6,4,5,3,2,1] => 11011111
[10,9,2,3,4,5,6,7,8,1] => [8,9,2,3,4,5,6,7,10,1] => [10,9,2,3,4,5,6,7,8,1] => 000000111
[3,4,7,8,5,1,2,6] => [5,1,3,4,8,2,7,6] => [3,4,7,8,5,1,2,6] => 0001001
[4,7,3,2,5,6,8,1] => [8,3,7,4,2,5,6,1] => [4,7,3,2,5,6,8,1] => 0100011
[8,3,1,2,6,4,7,5] => [3,1,8,6,7,2,4,5] => [7,3,1,2,6,4,8,5] => 0100111
[1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => [1,4,2,7,8,3,5,6] => 0010001
[8,5,4,2,6,1,7,3] => [6,4,5,8,7,2,1,3] => [7,2,8,5,4,1,6,3] => 0011111
[3,2,6,8,7,4,1,5] => [4,3,2,7,1,6,8,5] => [3,2,6,8,7,4,1,5] => 0110011
[1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => [1,4,2,5,8,3,6,7] => 0010001
[5,4,6,8,3,1,7,2] => [3,8,7,5,4,6,2,1] => [5,4,6,7,2,8,3,1] => 0101011
[3,6,8,4,5,1,7,2] => [5,7,3,8,4,6,1,2] => [3,6,8,4,7,1,5,2] => 0001011
[8,6,1,7,2,4,3,5] => [6,8,4,1,3,7,2,5] => [4,1,7,3,8,6,2,5] => 0010111
[1,6,8,3,2,4,7,5] => [1,3,8,2,7,6,4,5] => [1,6,7,3,2,4,8,5] => 0100011
[1,3,2,8,7,6,4,5] => [1,3,2,6,4,7,8,5] => [1,3,2,8,7,6,4,5] => 0100111
[2,4,3,1,6,5,8,7,10,9] => [3,2,4,1,6,5,8,7,10,9] => [2,4,3,1,6,5,8,7,10,9] => 011010101
[1,7,8,2,6,3,5,4] => [1,8,6,5,3,2,7,4] => [1,5,3,6,2,7,8,4] => 0001101
[1,7,2,4,6,3,5,8] => [1,7,6,2,3,4,5,8] => [1,6,2,7,3,4,5,8] => 0000110
[5,6,2,8,4,1,3,7] => [4,8,2,6,5,1,3,7] => [5,6,2,8,4,1,3,7] => 0010101
[2,5,8,3,1,6,4,7] => [3,2,8,6,5,1,4,7] => [2,5,6,3,1,8,4,7] => 0100101
[3,5,8,4,2,1,6,7] => [2,4,3,8,5,1,6,7] => [3,5,8,4,2,1,6,7] => 1010001
[2,5,8,3,1,4,6,7] => [3,2,8,1,5,4,6,7] => [2,5,8,3,1,4,6,7] => 0100001
[2,7,5,6,8,1,4,3] => [8,2,4,1,7,5,6,3] => [2,4,1,7,5,6,8,3] => 0010011
[3,2,6,7,1,5,8,4] => [7,3,2,8,1,6,5,4] => [3,2,6,8,1,5,7,4] => 0100011
[2,8,1,3,5,7,4,6] => [8,2,1,7,3,4,5,6] => [2,7,1,3,8,4,5,6] => 0000011
[1,3,7,6,2,5,4,8] => [1,6,3,5,2,7,4,8] => [1,3,5,2,7,6,4,8] => 0001110
[5,4,7,8,3,2,6,1] => [6,3,8,5,4,2,7,1] => [5,4,7,8,3,2,6,1] => 0101101
[8,4,5,7,3,1,2,6] => [3,1,7,8,4,2,5,6] => [8,4,7,3,1,2,5,6] => 0100011
[3,6,8,2,5,1,4,7] => [5,8,3,1,2,6,4,7] => [3,6,8,1,5,2,4,7] => 0001001
[3,6,8,7,2,5,4,1] => [4,5,3,7,1,6,8,2] => [3,6,8,7,1,5,4,2] => 0011011
[3,5,7,2,8,1,6,4] => [8,7,3,6,5,1,2,4] => [3,5,6,1,7,2,8,4] => 0000111
[2,4,6,7,8,3,5,1] => [5,2,8,4,3,6,7,1] => [2,4,6,7,8,3,5,1] => 0001001
[1,5,3,2,4,6,8,7] => [1,3,5,2,4,6,8,7] => [1,5,3,2,4,6,8,7] => 0101001
[1,5,8,7,6,3,2,4] => [1,3,6,2,5,7,8,4] => [1,5,8,7,6,3,2,4] => 0100111
[1,6,3,2,4,7,5,8] => [1,3,6,2,7,4,5,8] => [1,7,3,2,4,6,5,8] => 0100110
[1,6,3,2,4,8,7,5] => [1,3,6,2,7,4,8,5] => [1,8,7,3,2,4,6,5] => 0100111
[1,2,7,6,4,3,5,8] => [1,2,4,6,3,7,5,8] => [1,2,7,6,4,3,5,8] => 0010110
[1,8,7,5,2,4,6,3] => [1,5,7,3,6,4,8,2] => [1,6,3,4,8,7,5,2] => 0001111
[1,7,4,2,5,3,6,8] => [1,4,7,5,3,2,6,8] => [1,5,3,7,4,2,6,8] => 0011010
[1,8,4,7,5,2,6,3] => [1,5,7,6,8,3,2,4] => [1,8,3,6,2,7,5,4] => 0001111
[1,6,3,7,4,2,5,8] => [1,4,7,6,3,2,5,8] => [1,6,3,7,4,2,5,8] => 0010110
[1,6,3,2,7,5,4,8] => [1,3,6,5,7,2,4,8] => [1,7,5,3,2,6,4,8] => 0101110
[1,4,7,5,2,6,3,8] => [1,5,7,4,6,3,2,8] => [1,4,6,3,7,5,2,8] => 0001110
[1,3,7,6,4,2,5,8] => [1,4,3,6,2,7,5,8] => [1,3,7,6,4,2,5,8] => 0010110
[1,3,8,7,5,2,4,6] => [1,5,3,2,7,4,8,6] => [1,3,8,7,5,2,4,6] => 0001011
[1,5,7,6,4,2,3,8] => [1,4,2,6,5,7,3,8] => [1,5,7,6,4,2,3,8] => 0010110
[1,6,3,5,2,7,4,8] => [1,5,6,7,3,2,4,8] => [1,7,3,6,2,5,4,8] => 0001110
[1,6,3,5,2,8,7,4] => [1,5,6,7,3,2,8,4] => [1,8,7,3,6,2,5,4] => 0001111
[1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => [1,7,3,8,2,4,6,5] => 0000111
[5,7,1,4,8,2,3,6] => [7,8,2,1,5,3,4,6] => [5,8,2,7,1,3,4,6] => 0000011
[6,5,7,1,4,3,8,2] => [7,8,4,1,6,5,3,2] => [4,1,6,5,8,3,7,2] => 0010111
[5,7,6,1,4,8,3,2] => [6,3,7,2,5,8,4,1] => [5,8,3,2,4,7,6,1] => 0100111
[6,7,5,3,8,4,2,1] => [2,4,8,5,7,6,1,3] => [6,7,5,2,1,8,4,3] => 1011011
[7,3,1,4,2,6,5,8] => [3,7,4,2,6,1,5,8] => [4,2,6,3,1,7,5,8] => 0110110
[7,2,1,5,3,6,4,8] => [2,7,5,6,1,3,4,8] => [6,2,1,5,3,7,4,8] => 1001110
[7,4,1,6,2,5,3,8] => [4,7,6,5,3,2,1,8] => [5,3,6,2,7,4,1,8] => 0011110
[6,2,1,8,3,5,4,7] => [2,6,8,5,3,1,4,7] => [5,3,8,2,1,6,4,7] => 1001101
[6,3,1,8,2,5,4,7] => [3,6,8,5,1,2,4,7] => [5,1,8,3,2,6,4,7] => 0101101
[5,7,1,4,3,8,2,6] => [7,8,4,1,5,2,3,6] => [4,1,5,8,2,7,3,6] => 0010011
[5,3,1,7,2,6,4,8] => [3,5,7,6,2,1,4,8] => [6,2,7,3,1,5,4,8] => 0101110
[4,7,1,5,2,6,3,8] => [7,5,6,4,1,2,3,8] => [4,6,1,5,2,7,3,8] => 0001110
[6,3,1,5,2,7,4,8] => [3,6,5,7,2,1,4,8] => [7,2,5,3,1,6,4,8] => 0101110
[6,5,1,4,2,7,3,8] => [5,4,6,3,7,2,1,8] => [7,3,4,2,6,5,1,8] => 0011110
[6,2,1,4,3,7,5,8] => [2,6,4,1,7,3,5,8] => [4,2,1,7,3,6,5,8] => 1010110
[5,6,1,4,2,8,3,7] => [6,4,8,1,5,2,3,7] => [5,8,1,4,2,6,3,7] => 0010101
[4,6,1,5,2,8,3,7] => [6,5,8,4,1,2,3,7] => [4,8,1,5,2,6,3,7] => 0001101
[5,2,1,8,4,7,3,6] => [2,5,7,8,1,3,4,6] => [8,2,1,7,3,5,4,6] => 1001011
[1,8,7,3,4,5,2,6] => [1,5,7,3,4,2,8,6] => [1,8,7,3,4,5,2,6] => 0001011
[1,8,7,4,5,2,3,6] => [1,5,2,7,4,3,8,6] => [1,8,7,4,5,2,3,6] => 0001011
[1,3,7,8,4,5,6,2] => [1,6,3,8,4,5,7,2] => [1,3,7,8,4,5,6,2] => 0000101
[6,4,5,2,1,8,3,7] => [2,5,8,6,4,1,3,7] => [6,4,8,2,1,5,3,7] => 1001101
[6,4,5,2,8,1,7,3] => [8,5,7,6,4,2,1,3] => [6,4,7,2,5,1,8,3] => 0001111
[6,4,2,1,8,5,3,7] => [2,4,6,5,8,3,1,7] => [8,5,3,6,4,2,1,7] => 1011101
[6,4,2,3,5,8,1,7] => [8,4,2,6,3,5,1,7] => [6,4,2,3,5,8,1,7] => 0010101
[6,4,2,3,1,8,5,7] => [3,4,2,6,8,1,5,7] => [8,4,2,3,1,6,5,7] => 0110101
[2,8,6,4,5,1,7,3] => [5,2,7,6,4,8,1,3] => [2,8,6,4,7,1,5,3] => 0001111
[8,6,2,1,4,7,3,5] => [2,6,8,3,1,7,4,5] => [7,3,8,6,2,1,4,5] => 1000111
[6,4,2,1,8,3,7,5] => [2,4,6,8,7,3,1,5] => [7,3,8,4,2,1,6,5] => 1010111
[6,4,8,2,5,7,3,1] => [3,7,8,6,1,4,5,2] => [6,1,8,4,5,7,3,2] => 0100111
[8,2,4,6,7,1,5,3] => [7,8,5,2,1,4,6,3] => [5,2,8,1,4,6,7,3] => 0001011
[2,8,6,4,3,7,5,1] => [5,2,4,7,6,8,1,3] => [2,8,6,4,1,7,5,3] => 0011111
[6,5,1,8,3,2,7,4] => [5,3,6,8,7,2,4,1] => [7,3,2,8,4,6,5,1] => 0101111
[1,8,7,4,5,3,2,6] => [1,3,5,7,4,2,8,6] => [1,8,7,4,5,3,2,6] => 0101011
[6,1,7,2,8,4,5,3] => [6,7,5,8,4,1,2,3] => [8,4,5,1,7,2,6,3] => 0001111
[6,5,1,3,8,7,2,4] => [5,6,2,1,7,3,8,4] => [8,7,2,6,5,1,3,4] => 0001111
[7,2,6,3,5,8,1,4] => [8,7,6,1,3,2,5,4] => [6,1,7,3,5,8,2,4] => 0000111
[4,5,3,1,8,7,6,2] => [3,5,6,4,2,7,8,1] => [4,8,7,6,2,5,3,1] => 0101111
[6,3,4,2,7,8,5,1] => [5,4,8,1,6,2,7,3] => [6,1,4,2,7,8,5,3] => 0011101
[2,1,8,3,4,5,7,6] => [2,1,8,3,4,7,5,6] => [2,1,7,3,4,5,8,6] => 1000011
[5,8,2,3,1,7,4,6] => [3,8,2,7,5,4,1,6] => [5,7,4,8,2,3,1,6] => 0100011
[2,1,4,3,6,5,8,10,9,7] => [2,1,4,3,6,5,9,8,10,7] => [2,1,4,3,6,5,8,10,9,7] => 101010011
[2,1,4,3,6,8,7,5,10,9] => [2,1,4,3,7,6,8,5,10,9] => [2,1,4,3,6,8,7,5,10,9] => 101001101
[2,1,4,6,5,3,8,7,10,9] => [2,1,5,4,6,3,8,7,10,9] => [2,1,4,6,5,3,8,7,10,9] => 100110101
[2,1,4,6,5,3,8,10,9,7] => [2,1,5,4,6,3,9,8,10,7] => [2,1,4,6,5,3,8,10,9,7] => 100110011
[2,4,3,1,6,5,8,10,9,7] => [3,2,4,1,6,5,9,8,10,7] => [2,4,3,1,6,5,8,10,9,7] => 011010011
[2,4,3,1,6,8,7,5,10,9] => [3,2,4,1,7,6,8,5,10,9] => [2,4,3,1,6,8,7,5,10,9] => 011001101
[2,1,4,3,6,5,8,7,10,12,11,9] => [2,1,4,3,6,5,8,7,11,10,12,9] => [2,1,4,3,6,5,8,7,10,12,11,9] => 10101010011
[2,1,4,3,6,5,8,10,9,7,12,11] => [2,1,4,3,6,5,9,8,10,7,12,11] => [2,1,4,3,6,5,8,10,9,7,12,11] => 10101001101
[2,1,4,3,6,8,7,5,10,9,12,11] => [2,1,4,3,7,6,8,5,10,9,12,11] => [2,1,4,3,6,8,7,5,10,9,12,11] => 10100110101
[2,1,4,3,6,8,7,5,10,12,11,9] => [2,1,4,3,7,6,8,5,11,10,12,9] => [2,1,4,3,6,8,7,5,10,12,11,9] => 10100110011
[2,1,4,6,5,3,8,7,10,9,12,11] => [2,1,5,4,6,3,8,7,10,9,12,11] => [2,1,4,6,5,3,8,7,10,9,12,11] => 10011010101
[2,1,4,6,5,3,8,7,10,12,11,9] => [2,1,5,4,6,3,8,7,11,10,12,9] => [2,1,4,6,5,3,8,7,10,12,11,9] => 10011010011
[2,1,4,6,5,3,8,10,9,7,12,11] => [2,1,5,4,6,3,9,8,10,7,12,11] => [2,1,4,6,5,3,8,10,9,7,12,11] => 10011001101
[2,4,3,1,6,5,8,7,10,9,12,11] => [3,2,4,1,6,5,8,7,10,9,12,11] => [2,4,3,1,6,5,8,7,10,9,12,11] => 01101010101
[2,4,3,1,6,5,8,7,10,12,11,9] => [3,2,4,1,6,5,8,7,11,10,12,9] => [2,4,3,1,6,5,8,7,10,12,11,9] => 01101010011
[2,4,3,1,6,5,8,10,9,7,12,11] => [3,2,4,1,6,5,9,8,10,7,12,11] => [2,4,3,1,6,5,8,10,9,7,12,11] => 01101001101
[2,4,3,1,6,8,7,5,10,9,12,11] => [3,2,4,1,7,6,8,5,10,9,12,11] => [2,4,3,1,6,8,7,5,10,9,12,11] => 01100110101
[2,4,3,1,6,8,7,5,10,12,11,9] => [3,2,4,1,7,6,8,5,11,10,12,9] => [2,4,3,1,6,8,7,5,10,12,11,9] => 01100110011
[8,1,6,7,2,5,4,3] => [8,7,4,5,2,1,6,3] => [5,4,2,7,1,6,8,3] => 0011011
[8,1,4,6,5,3,2,7] => [8,3,5,1,6,4,2,7] => [6,5,3,1,4,8,2,7] => 0101101
[8,1,4,7,6,5,2,3] => [8,5,2,1,6,7,4,3] => [7,6,5,2,4,8,1,3] => 0001111
[8,1,3,2,6,4,5,7] => [8,3,1,6,4,2,5,7] => [3,1,6,4,8,2,5,7] => 0100101
[8,1,3,7,5,2,4,6] => [8,5,1,2,7,4,3,6] => [7,5,1,4,8,2,3,6] => 0001011
[8,1,3,6,7,5,2,4] => [8,5,1,2,7,3,6,4] => [7,5,1,6,8,2,3,4] => 0001011
[8,1,2,7,6,5,4,3] => [8,1,4,5,6,7,2,3] => [7,6,5,4,1,2,8,3] => 0011111
[7,2,3,6,8,5,1,4] => [5,8,1,2,7,3,6,4] => [7,1,6,8,5,2,3,4] => 0001011
[7,5,3,2,6,4,1,8] => [4,3,6,5,7,1,2,8] => [7,5,3,1,6,4,2,8] => 0111110
[6,7,8,4,1,5,2,3] => [4,8,1,5,2,6,7,3] => [5,1,6,7,8,4,2,3] => 0011001
[6,2,8,3,5,1,4,7] => [5,6,8,1,3,2,4,7] => [8,1,6,3,5,2,4,7] => 0001101
[6,8,2,5,3,4,1,7] => [4,8,5,3,2,6,1,7] => [5,3,6,8,2,4,1,7] => 0011001
[6,8,7,5,4,1,2,3] => [4,1,2,5,7,6,8,3] => [6,8,7,5,4,1,2,3] => 0011011
[7,2,4,5,6,1,8,3] => [6,7,8,2,4,5,1,3] => [8,2,4,5,7,1,6,3] => 0000111
[6,3,5,2,8,1,7,4] => [8,5,6,7,3,2,1,4] => [7,3,6,2,5,1,8,4] => 0001111
[6,1,8,7,4,5,2,3] => [6,5,2,7,4,1,8,3] => [8,7,4,5,2,6,1,3] => 0001111
[4,8,7,1,6,3,2,5] => [7,3,6,4,2,1,8,5] => [4,6,3,2,8,7,1,5] => 0100111
[4,8,2,7,5,3,6,1] => [6,8,5,4,7,3,2,1] => [4,7,5,3,8,2,6,1] => 0001111
[1,3,2,6,8,7,4,5] => [1,3,2,7,4,6,8,5] => [1,3,2,6,8,7,4,5] => 0100011
[1,6,2,5,8,7,3,4] => [1,6,7,3,2,5,8,4] => [1,8,7,3,5,6,2,4] => 0000111
[1,2,4,5,8,6,3,7] => [1,2,6,4,5,8,3,7] => [1,2,4,5,8,6,3,7] => 0000101
[1,2,8,3,5,4,7,6] => [1,2,8,5,3,7,4,6] => [1,2,5,3,7,4,8,6] => 0001011
[1,3,8,2,5,4,7,6] => [1,8,3,5,2,7,4,6] => [1,3,5,2,7,4,8,6] => 0001011
[1,6,7,5,2,4,8,3] => [1,5,7,3,8,6,4,2] => [1,6,8,3,4,7,5,2] => 0001011
[1,5,6,4,7,2,3,8] => [1,7,2,6,5,4,3,8] => [1,5,6,4,7,2,3,8] => 0000110
[1,7,4,2,5,8,3,6] => [1,4,7,8,3,2,5,6] => [1,8,3,7,4,2,5,6] => 0010011
[1,6,4,3,7,5,2,8] => [1,5,4,7,6,2,3,8] => [1,6,4,2,7,5,3,8] => 0011110
[1,6,5,4,7,2,3,8] => [1,7,2,5,6,4,3,8] => [1,6,5,4,7,2,3,8] => 0001110
[1,5,8,2,3,6,7,4] => [1,8,2,7,5,3,6,4] => [1,5,7,2,3,6,8,4] => 0000011
[1,3,2,6,8,5,4,7] => [1,3,2,5,8,6,4,7] => [1,3,2,6,8,5,4,7] => 0101001
[1,7,8,5,4,2,3,6] => [1,4,2,5,8,3,7,6] => [1,7,8,5,4,2,3,6] => 0011001
[1,8,4,2,3,6,5,7] => [1,4,2,8,6,3,5,7] => [1,6,4,2,3,8,5,7] => 0010101
[1,5,7,6,2,4,3,8] => [1,6,4,2,5,7,3,8] => [1,4,2,5,7,6,3,8] => 0010110
[1,3,8,4,2,6,5,7] => [1,4,3,8,6,2,5,7] => [1,3,6,4,2,8,5,7] => 0010101
[1,8,3,6,4,5,2,7] => [1,5,8,6,4,3,2,7] => [1,6,4,8,3,5,2,7] => 0001101
[1,6,4,7,3,2,8,5] => [1,3,7,6,8,4,2,5] => [1,8,4,6,3,2,7,5] => 0100111
[8,5,7,2,3,6,4,1] => [4,6,1,7,8,3,5,2] => [8,1,3,7,5,6,4,2] => 0010111
[7,6,3,2,1,8,4,5] => [2,3,6,7,1,8,4,5] => [8,3,2,1,7,6,4,5] => 1100111
[7,1,8,3,4,5,2,6] => [7,5,8,3,4,2,1,6] => [8,3,4,5,2,7,1,6] => 0001011
[7,4,8,2,5,3,1,6] => [3,5,8,7,1,2,4,6] => [7,1,8,3,2,5,4,6] => 0101011
[7,2,1,4,8,5,3,6] => [2,7,5,1,8,3,4,6] => [8,5,2,1,7,3,4,6] => 1001011
[1,8,5,3,4,6,2,7] => [1,6,5,3,8,4,2,7] => [1,8,5,3,4,6,2,7] => 0001101
[7,1,5,3,6,4,8,2] => [7,8,5,6,1,3,4,2] => [6,1,5,3,8,4,7,2] => 0001111
[5,1,7,3,8,6,2,4] => [5,6,8,3,1,7,2,4] => [7,3,8,6,1,5,2,4] => 0001111
[6,2,1,3,4,7,8,5] => [2,6,1,3,8,4,7,5] => [7,8,2,1,3,4,6,5] => 1000101
[3,2,5,8,7,4,1,6] => [4,3,2,7,5,1,8,6] => [3,2,5,8,7,4,1,6] => 0110011
[5,8,4,7,3,6,2,1] => [2,6,7,8,5,3,4,1] => [5,8,3,7,4,6,2,1] => 1000111
[6,1,4,3,8,7,2,5] => [6,7,4,1,2,3,8,5] => [4,1,8,7,2,6,3,5] => 0010111
[5,1,3,2,6,8,7,4] => [5,3,1,7,2,6,8,4] => [3,1,6,8,7,2,5,4] => 0101011
[1,2,8,4,5,7,3,6] => [1,2,7,8,4,3,5,6] => [1,2,8,4,7,3,5,6] => 0000011
[4,2,1,8,7,6,3,5] => [2,4,6,1,3,7,8,5] => [8,7,6,2,1,4,3,5] => 1010111
[3,2,5,8,7,1,4,6] => [7,3,2,1,5,4,8,6] => [3,2,5,8,7,1,4,6] => 0100011
[2,5,8,4,7,1,6,3] => [7,2,6,8,5,1,4,3] => [2,5,8,1,6,4,7,3] => 0000111
[1,6,2,4,8,5,7,3] => [1,6,7,2,8,4,5,3] => [1,8,2,4,7,5,6,3] => 0000111
[4,8,5,3,6,7,1,2] => [7,1,5,4,8,3,6,2] => [4,8,5,3,6,7,1,2] => 0001011
[1,8,5,3,4,7,6,2] => [1,6,5,2,7,8,4,3] => [1,8,5,2,4,7,6,3] => 0001111
[1,8,6,3,2,5,4,7] => [1,3,6,5,2,8,4,7] => [1,5,3,2,8,6,4,7] => 0101101
[7,2,5,4,8,1,3,6] => [8,7,1,5,2,3,4,6] => [5,1,7,2,3,8,4,6] => 0001011
[6,8,5,2,3,7,1,4] => [7,5,2,1,8,6,3,4] => [6,8,5,2,7,1,3,4] => 0001011
[8,6,2,1,5,7,3,4] => [2,6,8,1,3,7,5,4] => [7,2,1,5,8,6,3,4] => 1000111
[8,7,2,4,1,5,3,6] => [4,7,5,2,1,3,8,6] => [5,2,8,7,1,4,3,6] => 0011011
[1,6,8,7,3,5,2,4] => [1,5,7,2,3,6,8,4] => [1,6,8,7,2,5,3,4] => 0001011
[4,1,5,2,8,6,3,7] => [4,5,6,1,2,8,3,7] => [8,6,1,5,2,4,3,7] => 0011101
[8,4,3,1,7,2,5,6] => [3,4,8,7,2,5,1,6] => [7,2,5,8,4,3,1,6] => 0110011
[2,8,3,1,4,6,7,5] => [3,2,8,1,7,4,6,5] => [2,7,3,1,4,6,8,5] => 0100011
[5,6,1,2,4,3,7,8] => [6,1,4,2,5,3,7,8] => [4,1,2,5,6,3,7,8] => 0010100
[4,3,6,5,1,2,7,8] => [5,1,4,3,6,2,7,8] => [4,3,6,5,1,2,7,8] => 0011100
[2,8,3,7,6,4,1,5] => [4,2,6,7,1,8,3,5] => [2,8,1,7,6,4,3,5] => 0010111
[2,8,3,7,6,4,5,1] => [5,2,8,6,4,7,3,1] => [2,7,6,4,8,3,5,1] => 0001111
[8,1,3,7,5,4,2,6] => [8,4,1,5,7,2,3,6] => [7,5,4,1,8,2,3,6] => 0011011
[1,8,3,7,6,4,2,5] => [1,4,6,7,2,8,3,5] => [1,8,2,7,6,4,3,5] => 0010111
[5,8,3,7,6,4,2,1] => [2,4,6,7,5,8,3,1] => [5,8,3,7,6,4,2,1] => 1010111
[1,3,8,7,6,5,2,4] => [1,5,3,2,6,7,8,4] => [1,3,8,7,6,5,2,4] => 0001111
[8,2,1,7,5,4,6,3] => [2,8,6,5,7,4,1,3] => [7,5,4,6,2,1,8,3] => 1001111
[1,8,7,2,6,3,5,4] => [1,7,6,5,3,2,8,4] => [1,5,3,6,2,8,7,4] => 0001111
[8,7,2,1,4,3,5,6] => [2,7,4,1,3,5,8,6] => [4,2,1,8,7,3,5,6] => 1010011
[2,8,7,1,6,3,4,5] => [7,2,6,3,4,1,8,5] => [2,6,3,4,8,7,1,5] => 0000111
[4,2,8,7,6,5,1,3] => [5,4,1,2,6,7,8,3] => [4,1,8,7,6,5,2,3] => 0011111
[5,8,7,1,6,3,2,4] => [7,3,6,2,5,1,8,4] => [5,6,3,2,8,7,1,4] => 0100111
[8,4,2,7,6,5,3,1] => [3,5,4,6,7,8,1,2] => [8,4,1,7,6,5,3,2] => 0111111
[6,8,7,5,2,4,3,1] => [3,4,5,1,7,6,8,2] => [6,8,7,5,1,4,3,2] => 0111011
[1,2,5,7,4,8,6,3] => [1,2,6,8,5,7,3,4] => [1,2,5,7,3,8,6,4] => 0000111
[6,3,8,7,4,5,2,1] => [2,5,6,7,4,3,8,1] => [8,7,4,6,3,5,2,1] => 1001111
[2,8,3,4,1,5,6,7] => [4,2,8,3,1,5,6,7] => [2,8,3,4,1,5,6,7] => 0010001
[2,7,3,5,4,8,6,1] => [6,2,8,5,1,7,4,3] => [2,5,1,7,4,8,6,3] => 0001111
[4,5,7,3,6,1,8,2] => [6,8,7,4,5,3,1,2] => [4,5,7,3,8,1,6,2] => 0000111
[3,8,7,5,4,1,6,2] => [4,5,3,7,6,1,8,2] => [3,6,1,8,7,5,4,2] => 0011111
[5,7,3,8,4,2,6,1] => [6,4,8,7,5,3,2,1] => [5,7,3,8,4,2,6,1] => 0010111
[5,3,7,1,2,8,4,6] => [7,1,5,8,3,4,2,6] => [8,3,5,4,7,1,2,6] => 0001011
[1,2,7,6,4,8,3,5] => [1,2,8,6,3,7,4,5] => [1,2,7,6,3,8,4,5] => 0000111
[6,3,8,7,1,2,5,4] => [7,1,6,5,2,3,8,4] => [5,1,2,6,3,8,7,4] => 0001111
[6,3,8,7,1,4,5,2] => [7,5,6,1,4,3,8,2] => [6,1,4,5,3,8,7,2] => 0001111
[6,3,8,7,2,5,4,1] => [4,5,7,6,3,1,8,2] => [6,3,8,7,1,5,4,2] => 0011111
[6,3,8,7,1,4,2,5] => [7,4,6,1,2,3,8,5] => [6,1,4,2,8,7,3,5] => 0010111
[9,7,8,5,4,3,2,1,6] => [2,3,4,5,8,1,9,7,6] => [9,7,8,5,4,3,2,1,6] => 11110011
[1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => 00001000
[1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => 00010000
[6,4,8,1,2,7,5,3] => [8,1,5,7,6,3,2,4] => [6,3,7,5,1,2,8,4] => 0001111
[8,1,4,6,7,2,5,3] => [8,7,5,1,2,4,6,3] => [5,1,7,2,4,6,8,3] => 0001011
[8,2,6,1,7,4,5,3] => [6,8,5,7,4,2,1,3] => [7,4,5,2,8,1,6,3] => 0001111
[6,2,8,1,4,7,5,3] => [8,6,5,1,7,2,4,3] => [7,5,1,6,2,4,8,3] => 0001111
[2,4,8,1,6,7,5,3] => [8,2,5,4,7,1,6,3] => [2,4,7,5,1,6,8,3] => 0001011
[4,2,8,6,1,7,5,3] => [6,4,5,2,8,7,3,1] => [7,5,2,4,3,8,6,1] => 0011111
[8,2,6,4,1,7,5,3] => [4,6,8,5,7,3,2,1] => [7,5,3,8,2,6,4,1] => 0011111
[8,1,2,6,4,7,5,3] => [8,1,5,7,6,2,3,4] => [6,1,2,7,5,3,8,4] => 0001111
[8,4,1,6,2,7,5,3] => [4,8,6,5,7,2,3,1] => [7,5,2,6,3,8,4,1] => 0011111
[8,1,6,2,4,7,5,3] => [8,6,5,2,7,1,4,3] => [7,5,2,6,1,4,8,3] => 0001111
[8,6,1,2,4,7,5,3] => [6,1,5,3,8,7,4,2] => [7,5,3,4,8,6,1,2] => 0001111
[8,2,1,4,6,7,5,3] => [2,8,5,1,7,4,6,3] => [7,5,2,1,4,6,8,3] => 1001011
[8,2,4,6,1,7,5,3] => [6,8,5,2,7,4,1,3] => [7,5,2,4,8,1,6,3] => 0001111
[5,4,7,6,3,1,2,8] => [3,1,6,5,4,7,2,8] => [5,4,7,6,3,1,2,8] => 0101110
[3,6,8,4,1,5,2,7] => [4,8,3,5,2,6,1,7] => [3,5,2,6,8,4,1,7] => 0011001
[3,8,6,4,1,5,2,7] => [4,6,3,5,2,8,1,7] => [3,5,2,8,6,4,1,7] => 0011101
[8,2,6,5,7,1,3,4] => [7,8,1,3,6,2,5,4] => [6,1,3,8,5,7,2,4] => 0000111
[4,6,1,3,2,8,7,5] => [6,3,1,4,7,2,8,5] => [3,1,4,8,7,2,6,5] => 0100111
[5,4,6,7,1,3,8,2] => [7,8,1,5,4,6,3,2] => [5,4,6,8,1,3,7,2] => 0001011
[7,1,4,8,2,3,6,5] => [7,8,2,1,6,3,4,5] => [6,2,8,1,3,4,7,5] => 0000111
[3,6,5,4,7,1,8,2] => [7,8,3,5,6,4,1,2] => [3,6,5,4,8,1,7,2] => 0001111
[4,5,3,6,7,1,8,2] => [7,8,5,4,3,6,1,2] => [4,5,3,6,8,1,7,2] => 0001011
[1,4,7,8,3,5,2,6] => [1,5,8,4,3,2,7,6] => [1,4,7,8,3,5,2,6] => 0001001
[4,6,1,3,5,2,8,7] => [6,5,1,4,3,2,8,7] => [4,5,1,3,6,2,8,7] => 0001101
[1,7,6,3,5,8,4,2] => [1,4,8,6,2,7,5,3] => [1,7,6,2,5,8,4,3] => 0010111
[2,5,1,4,8,3,7,6] => [5,2,8,1,4,7,3,6] => [2,7,1,4,5,3,8,6] => 0001011
[7,6,2,1,4,5,3,8] => [2,6,5,1,4,7,3,8] => [5,2,1,4,7,6,3,8] => 1001110
[4,1,2,8,7,6,3,5] => [4,1,6,2,3,7,8,5] => [8,7,6,1,2,4,3,5] => 0010111
[5,1,4,3,8,6,7,2] => [5,7,4,1,3,8,6,2] => [4,1,8,6,7,3,5,2] => 0011011
[3,5,1,6,4,8,7,2] => [5,7,3,6,1,4,8,2] => [3,6,1,8,7,4,5,2] => 0001111
[8,4,1,2,5,7,3,6] => [4,1,8,7,3,2,5,6] => [7,3,8,4,1,2,5,6] => 0010011
[1,6,2,8,5,4,7,3] => [1,6,7,5,8,2,4,3] => [1,8,5,2,7,4,6,3] => 0001111
[6,1,5,3,2,7,4,8] => [6,3,5,7,1,2,4,8] => [7,3,1,5,2,6,4,8] => 0101110
[2,4,5,6,8,3,1,7] => [3,2,8,4,5,6,1,7] => [2,4,5,6,8,3,1,7] => 0100001
[3,8,4,2,1,6,5,7] => [2,4,3,8,6,1,5,7] => [3,6,4,2,1,8,5,7] => 1010101
[3,4,7,1,2,6,8,5] => [7,1,3,4,8,2,6,5] => [3,4,8,1,2,6,7,5] => 0000011
[4,1,8,6,5,2,3,7] => [4,5,2,1,6,8,3,7] => [8,6,5,2,4,1,3,7] => 0011101
[3,4,5,8,6,2,1,7] => [2,6,3,4,5,8,1,7] => [3,4,5,8,6,2,1,7] => 1000101
[2,5,3,7,1,8,6,4] => [7,2,5,6,3,8,1,4] => [2,8,6,3,5,1,7,4] => 0001111
[4,8,6,2,5,1,7,3] => [5,6,8,4,3,7,1,2] => [4,7,3,8,6,1,5,2] => 0001111
[4,5,1,8,6,3,7,2] => [5,7,6,4,1,8,3,2] => [4,8,6,1,7,3,5,2] => 0001111
[1,7,2,4,5,3,8,6] => [1,7,5,2,4,8,3,6] => [1,5,2,4,8,3,7,6] => 0001011
[4,5,3,7,1,8,6,2] => [7,6,5,4,3,8,1,2] => [4,5,3,8,6,1,7,2] => 0001111
[1,4,6,2,5,3,8,7] => [1,6,5,4,2,3,8,7] => [1,4,5,2,6,3,8,7] => 0001101
[8,3,7,2,1,6,5,4] => [2,7,8,5,6,1,3,4] => [6,5,2,1,8,3,7,4] => 1001111
[8,4,7,6,2,5,1,3] => [5,6,1,7,4,8,2,3] => [8,4,7,6,1,5,2,3] => 0001111
[3,8,7,5,6,4,1,2] => [4,1,3,6,7,5,8,2] => [3,8,7,5,6,4,1,2] => 0010111
[4,3,2,5,6,7,8,9,1] => [9,3,4,2,5,6,7,8,1] => [4,3,2,5,6,7,8,9,1] => 01100001
[5,4,3,2,6,7,8,9,1] => [9,3,4,5,2,6,7,8,1] => [5,4,3,2,6,7,8,9,1] => 01110001
[1,5,6,3,8,2,7,4] => [1,8,6,7,5,3,2,4] => [1,5,7,3,6,2,8,4] => 0000111
[2,6,3,5,7,8,1,4] => [8,2,6,1,3,5,7,4] => [2,6,1,5,7,8,3,4] => 0000101
[1,7,5,3,6,2,8,4] => [1,6,5,7,8,4,2,3] => [1,8,4,7,5,2,6,3] => 0001111
[1,5,7,3,4,2,8,6] => [1,4,7,3,5,8,2,6] => [1,5,8,3,4,2,7,6] => 0010011
[1,4,5,3,7,2,8,6] => [1,7,5,4,3,8,2,6] => [1,4,5,3,8,2,7,6] => 0001011
[1,4,5,3,8,2,7,6] => [1,8,5,4,3,7,2,6] => [1,4,5,3,7,2,8,6] => 0001011
[6,5,1,4,2,8,7,3] => [5,4,6,3,7,2,8,1] => [8,7,3,4,2,6,5,1] => 0011111
[4,1,2,7,5,3,6,8] => [4,1,5,2,7,3,6,8] => [7,5,1,2,4,3,6,8] => 0011010
[5,1,6,8,3,7,2,4] => [5,7,8,2,1,6,3,4] => [6,8,2,7,1,5,3,4] => 0001011
[1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => 0000000000
[5,8,3,2,1,7,4,6] => [2,3,8,7,5,4,1,6] => [5,7,4,8,3,2,1,6] => 1100011
[8,5,1,3,6,2,4,7] => [5,8,2,1,6,3,4,7] => [6,2,8,5,1,3,4,7] => 0001101
[5,4,7,1,2,3,8,6] => [7,1,2,5,4,8,3,6] => [5,4,8,1,2,3,7,6] => 0001011
[1,4,8,2,6,7,3,5] => [1,8,7,4,3,2,6,5] => [1,4,7,3,6,8,2,5] => 0000011
[1,5,6,7,2,8,4,3] => [1,7,4,8,5,6,2,3] => [1,5,6,8,4,2,7,3] => 0010011
[3,6,1,2,8,7,5,4] => [6,1,3,5,7,2,8,4] => [3,8,7,5,1,2,6,4] => 0001111
[1,4,7,2,6,3,8,5] => [1,7,6,4,8,2,3,5] => [1,4,8,2,6,3,7,5] => 0000111
[2,6,8,1,4,7,3,5] => [8,2,7,1,3,6,4,5] => [2,6,7,1,8,3,4,5] => 0000011
[1,4,6,8,3,7,2,5] => [1,7,8,4,2,6,3,5] => [1,4,6,8,2,7,3,5] => 0000011
[1,5,8,6,7,3,4,2] => [1,4,7,3,5,8,6,2] => [1,5,8,6,7,3,4,2] => 0010011
[1,6,5,8,7,2,4,3] => [1,7,4,2,6,5,8,3] => [1,4,2,6,5,8,7,3] => 0010111
[1,5,7,6,2,8,3,4] => [1,6,7,2,5,8,3,4] => [1,5,8,2,7,6,3,4] => 0000111
[1,2,5,8,6,7,4,3] => [1,2,4,7,5,8,6,3] => [1,2,5,8,6,7,4,3] => 0010011
[1,2,6,5,7,3,8,4] => [1,2,7,8,6,5,3,4] => [1,2,6,5,8,3,7,4] => 0000111
[2,7,6,3,4,8,1,5] => [8,2,6,3,1,7,4,5] => [2,7,6,3,8,1,4,5] => 0000111
[2,5,6,8,1,3,7,4] => [8,2,1,7,5,6,3,4] => [2,5,6,7,1,3,8,4] => 0000011
[5,3,6,8,1,2,7,4] => [8,1,5,7,3,6,2,4] => [6,7,3,5,1,2,8,4] => 0001011
[4,7,5,8,3,6,2,1] => [2,6,8,4,7,3,5,1] => [4,7,3,8,5,6,2,1] => 1000111
[7,3,6,8,5,2,1,4] => [2,5,8,3,7,1,6,4] => [7,3,6,8,5,2,1,4] => 1001011
[8,3,6,7,5,2,4,1] => [4,5,7,3,8,2,6,1] => [8,3,6,7,5,2,4,1] => 0011011
[8,4,5,7,3,6,2,1] => [2,6,7,8,4,3,5,1] => [8,4,7,3,5,6,2,1] => 1000111
[2,4,7,8,5,6,3,1] => [3,2,6,4,8,5,7,1] => [2,4,7,8,5,6,3,1] => 0100101
[6,8,4,7,5,1,3,2] => [5,3,1,7,8,6,2,4] => [3,1,6,8,2,7,5,4] => 0101011
[1,2,6,4,3,8,7,5] => [1,2,4,6,7,3,8,5] => [1,2,8,7,4,3,6,5] => 0010111
[1,8,5,7,2,3,6,4] => [1,7,2,6,8,3,5,4] => [1,8,2,3,6,5,7,4] => 0000111
[6,1,3,8,4,2,5,7] => [6,4,1,8,2,3,5,7] => [8,4,1,6,2,3,5,7] => 0010101
[8,7,6,4,2,1,5,3] => [2,4,6,5,3,7,8,1] => [5,3,8,7,6,4,2,1] => 1011111
[3,8,7,5,2,6,4,1] => [4,6,3,5,7,1,8,2] => [3,8,7,5,1,6,4,2] => 0011111
[4,6,3,1,8,7,2,5] => [3,6,7,4,1,2,8,5] => [4,8,7,1,6,3,2,5] => 0100111
[3,8,7,5,1,2,6,4] => [5,1,3,7,6,4,8,2] => [3,6,4,8,7,5,1,2] => 0001111
[8,1,3,5,6,2,4,7] => [8,6,1,2,3,5,4,7] => [6,1,5,8,2,3,4,7] => 0000101
[5,8,3,7,1,4,6,2] => [7,6,8,1,5,4,3,2] => [5,8,1,4,6,3,7,2] => 0000111
[3,8,7,4,2,6,5,1] => [5,4,3,6,7,1,8,2] => [3,8,7,4,1,6,5,2] => 0011111
[5,8,3,2,4,7,6,1] => [6,3,7,1,5,8,4,2] => [5,8,3,1,4,7,6,2] => 0100111
[8,4,5,3,7,6,1,2] => [6,1,5,7,2,8,3,4] => [8,1,2,5,3,7,6,4] => 0001111
[2,5,1,4,3,6,7,8] => [5,2,4,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => 0011000
[5,3,8,2,4,6,1,7] => [6,8,5,2,3,4,1,7] => [5,2,8,3,4,6,1,7] => 0001101
[4,5,8,3,2,6,1,7] => [6,3,8,4,5,2,1,7] => [4,5,8,3,2,6,1,7] => 0100101
[1,5,3,7,2,8,6,4] => [1,7,5,6,3,8,2,4] => [1,8,6,3,5,2,7,4] => 0001111
[4,1,5,8,3,6,2,7] => [4,6,8,1,5,3,2,7] => [5,8,1,6,3,4,2,7] => 0010101
[4,5,8,3,6,1,2,7] => [6,1,8,4,5,3,2,7] => [4,5,8,3,6,1,2,7] => 0000101
[6,1,7,8,3,5,2,4] => [6,5,8,2,3,1,7,4] => [7,8,2,5,3,6,1,4] => 0001101
[4,7,8,5,2,3,1,6] => [3,5,2,4,8,1,7,6] => [4,7,8,5,2,3,1,6] => 0101001
[6,2,7,8,1,5,3,4] => [8,6,5,3,1,2,7,4] => [5,3,6,1,7,8,2,4] => 0001101
[2,7,1,3,8,5,4,6] => [7,2,1,5,8,4,3,6] => [2,8,5,4,7,1,3,6] => 0001011
[2,6,7,8,4,1,3,5] => [4,2,1,8,3,6,7,5] => [2,6,7,8,4,1,3,5] => 0010001
[7,3,8,1,2,5,4,6] => [8,1,7,5,2,4,3,6] => [5,1,2,7,4,8,3,6] => 0001011
[6,4,1,7,2,8,3,5] => [4,6,7,8,1,2,3,5] => [8,1,7,2,6,4,3,5] => 0010111
[6,8,1,2,3,5,7,4] => [8,1,2,7,3,6,5,4] => [6,7,1,2,3,5,8,4] => 0000011
[6,8,7,3,1,2,4,5] => [3,1,7,2,4,6,8,5] => [6,8,7,3,1,2,4,5] => 0100011
[7,4,8,3,1,2,6,5] => [3,1,8,7,6,2,4,5] => [6,3,1,2,7,4,8,5] => 0100111
[8,4,5,3,1,6,7,2] => [3,5,7,8,4,2,6,1] => [8,4,6,7,2,5,3,1] => 0101011
[6,1,8,3,2,7,4,5] => [6,3,8,7,4,1,2,5] => [7,4,8,3,1,6,2,5] => 0100111
[7,5,1,6,4,8,2,3] => [5,7,1,8,6,2,3,4] => [6,1,8,2,3,7,5,4] => 0001111
[6,2,1,7,4,8,3,5] => [2,6,8,7,3,1,4,5] => [7,3,8,2,1,6,4,5] => 1000111
[1,4,6,8,5,2,7,3] => [1,5,8,4,7,6,3,2] => [1,4,6,7,3,8,5,2] => 0001011
[1,7,4,3,2,5,6,8] => [1,3,4,7,2,5,6,8] => [1,7,4,3,2,5,6,8] => 0110010
[5,2,1,6,3,4,8,7] => [2,5,6,3,1,4,8,7] => [6,3,5,2,1,4,8,7] => 1001101
[3,8,4,5,7,2,6,1] => [6,7,3,8,4,2,5,1] => [3,8,4,7,2,5,6,1] => 0000111
[3,8,4,7,5,6,2,1] => [2,6,3,8,7,5,4,1] => [3,7,5,8,4,6,2,1] => 1000111
[3,5,6,8,4,7,1,2] => [7,1,3,8,5,6,4,2] => [3,5,6,8,4,7,1,2] => 0000011
[6,2,8,4,5,3,7,1] => [7,6,5,8,4,2,3,1] => [8,4,5,2,6,3,7,1] => 0001111
[4,5,2,1,8,7,3,6] => [2,5,7,4,1,3,8,6] => [4,8,7,2,1,5,3,6] => 1001011
[4,7,3,8,2,6,5,1] => [5,6,8,4,7,3,1,2] => [4,7,3,8,1,6,5,2] => 0001111
[4,7,3,1,8,6,2,5] => [3,7,6,4,1,8,2,5] => [4,8,6,1,7,3,2,5] => 0100111
[6,2,1,3,7,4,8,5] => [2,6,1,7,8,3,4,5] => [8,2,1,3,7,4,6,5] => 1000111
[7,2,5,8,1,3,6,4] => [8,7,1,6,2,3,5,4] => [6,1,7,2,3,5,8,4] => 0000111
[3,8,7,5,2,1,6,4] => [2,5,3,7,6,4,8,1] => [3,6,4,8,7,5,2,1] => 1001111
[4,1,5,6,8,7,3,2] => [4,3,7,1,5,6,8,2] => [5,6,8,7,3,1,4,2] => 0110011
[6,1,2,4,5,7,8,3] => [6,1,8,2,4,5,7,3] => [7,8,1,2,4,5,6,3] => 0000101
[3,5,4,8,6,2,7,1] => [7,6,3,5,4,8,2,1] => [3,5,4,8,6,2,7,1] => 0001111
[3,6,2,4,5,8,7,1] => [7,6,3,2,4,5,8,1] => [3,6,2,4,5,8,7,1] => 0000111
[11,1,2,3,4,5,6,7,8,10,9] => [11,1,2,3,4,5,6,7,10,8,9] => [10,1,2,3,4,5,6,7,8,11,9] => 0000000011
[4,1,7,5,3,8,6,2] => [4,6,5,1,8,7,2,3] => [7,5,1,8,6,2,4,3] => 0011111
[7,6,3,5,1,8,4,2] => [5,4,8,6,2,7,1,3] => [7,6,2,8,4,1,5,3] => 0011111
[8,1,5,3,4,6,7,2] => [8,7,5,3,1,4,6,2] => [5,3,7,1,4,6,8,2] => 0001011
[7,6,5,2,3,8,4,1] => [4,8,1,5,6,7,3,2] => [7,6,5,1,3,8,4,2] => 0011111
[3,5,1,4,6,2,7,8] => [5,6,3,1,4,2,7,8] => [3,6,1,4,5,2,7,8] => 0001100
[7,6,5,2,4,3,1,8] => [3,4,5,1,6,7,2,8] => [7,6,5,1,4,3,2,8] => 0111110
[3,6,4,5,2,8,1,7] => [8,5,3,6,4,2,1,7] => [3,6,4,5,2,8,1,7] => 0001101
[7,5,1,8,3,6,2,4] => [5,7,6,3,8,1,2,4] => [8,3,6,1,7,5,2,4] => 0001111
[8,1,5,6,3,7,4,2] => [8,4,7,6,1,5,2,3] => [6,1,5,7,4,2,8,3] => 0010111
[7,6,5,4,1,3,8,2] => [4,5,2,6,7,8,3,1] => [8,2,3,7,6,5,4,1] => 0011111
[7,6,5,4,1,8,2,3] => [4,5,1,6,7,8,2,3] => [8,1,7,6,5,4,2,3] => 0011111
[3,6,4,1,5,7,2,8] => [4,6,3,7,2,5,1,8] => [3,7,2,5,6,4,1,8] => 0010110
[2,5,1,4,6,7,8,3] => [5,2,8,1,4,6,7,3] => [2,6,7,8,1,4,5,3] => 0001001
[2,5,1,4,6,7,3,8] => [5,2,7,1,4,6,3,8] => [2,6,7,1,4,5,3,8] => 0001010
[7,6,5,2,8,4,1,3] => [4,8,2,5,6,7,1,3] => [7,6,5,2,8,4,1,3] => 0011111
[3,1,6,5,2,8,7,4] => [3,5,1,6,7,4,8,2] => [8,7,4,6,5,1,3,2] => 0101111
[6,2,7,4,3,1,8,5] => [3,4,7,6,8,2,1,5] => [8,2,6,4,3,1,7,5] => 0110111
[1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => [1,4,2,8,3,5,7,6] => 0010011
[2,7,3,4,5,1,8,6] => [5,2,7,3,4,8,1,6] => [2,8,3,4,5,1,7,6] => 0001011
[8,1,7,4,3,5,6,2] => [8,6,4,7,3,5,1,2] => [7,4,3,5,6,1,8,2] => 0010111
[6,8,2,4,5,3,7,1] => [7,8,5,2,4,6,3,1] => [5,2,4,6,8,3,7,1] => 0001011
[5,6,8,2,1,3,7,4] => [2,8,1,7,5,6,3,4] => [5,6,7,2,1,3,8,4] => 1000011
[6,1,3,4,7,8,5,2] => [6,5,1,3,8,4,7,2] => [7,8,5,1,3,4,6,2] => 0001101
[5,2,8,7,3,4,6,1] => [6,5,7,3,2,4,8,1] => [8,7,3,5,2,4,6,1] => 0001111
[1,8,4,2,5,6,3,7] => [1,4,8,6,3,5,2,7] => [1,6,3,5,8,4,2,7] => 0010101
[1,5,2,8,6,4,3,7] => [1,5,4,6,2,8,3,7] => [1,8,6,4,2,5,3,7] => 0011101
[7,4,8,6,3,1,2,5] => [3,1,6,8,4,7,2,5] => [7,4,8,6,3,1,2,5] => 0100111
[3,6,8,4,1,2,5,7] => [4,1,3,8,2,6,5,7] => [3,6,8,4,1,2,5,7] => 0010001
[4,7,8,5,2,1,3,6] => [2,5,1,4,8,3,7,6] => [4,7,8,5,2,1,3,6] => 1001001
[8,1,3,5,7,4,2,6] => [8,4,1,7,3,2,5,6] => [7,4,1,3,8,2,5,6] => 0010011
[3,1,6,4,8,5,2,7] => [3,5,1,8,6,2,4,7] => [6,1,3,2,8,5,4,7] => 0101101
[3,2,6,4,1,5,7,8] => [4,3,2,6,1,5,7,8] => [3,2,6,4,1,5,7,8] => 0110100
[5,4,2,1,8,3,6,7] => [2,4,5,8,3,1,6,7] => [8,3,5,4,2,1,6,7] => 1011001
[4,2,5,1,8,7,3,6] => [5,4,7,2,1,3,8,6] => [8,7,2,4,1,5,3,6] => 0011011
[6,8,2,7,1,4,3,5] => [7,8,4,1,3,6,2,5] => [4,1,6,8,3,7,2,5] => 0010011
[1,8,4,7,3,2,5,6] => [1,3,7,8,2,5,4,6] => [1,8,3,2,5,7,4,6] => 0100011
[8,6,3,1,5,7,2,4] => [3,6,8,2,1,7,5,4] => [7,2,5,8,6,3,1,4] => 0100111
[5,8,3,1,4,7,6,2] => [3,8,6,2,5,7,4,1] => [5,7,6,2,4,8,3,1] => 0100111
[1,8,3,2,6,4,7,5] => [1,3,8,6,7,2,4,5] => [1,7,3,2,6,4,8,5] => 0100111
[6,8,4,1,3,7,2,5] => [4,8,2,7,1,6,3,5] => [6,7,2,8,4,1,3,5] => 0010011
[3,2,6,1,7,8,5,4] => [6,3,2,5,8,1,7,4] => [3,2,7,8,5,1,6,4] => 0101101
[7,6,4,1,8,3,5,2] => [4,6,5,7,2,8,1,3] => [8,2,5,1,7,6,4,3] => 0011111
[5,4,1,6,7,3,2,8] => [4,3,5,7,2,6,1,8] => [6,7,3,2,5,4,1,8] => 0111010
[7,4,1,6,5,8,2,3] => [4,7,1,8,6,2,5,3] => [6,1,8,5,7,4,2,3] => 0010111
[6,5,7,3,2,8,4,1] => [4,3,8,7,6,5,1,2] => [6,5,7,3,1,8,4,2] => 0110111
[6,4,1,2,7,5,3,8] => [4,1,6,5,7,3,2,8] => [7,5,3,6,4,1,2,8] => 0011110
[7,4,3,5,2,8,6,1] => [6,5,4,8,1,7,2,3] => [7,4,1,5,2,8,6,3] => 0011111
[8,5,1,7,2,3,6,4] => [5,8,1,7,6,4,2,3] => [6,4,7,1,8,5,2,3] => 0001111
[5,2,1,6,4,7,8,3] => [2,5,8,6,1,4,7,3] => [6,2,1,7,8,4,5,3] => 1001101
[1,6,2,3,5,7,8,4] => [1,6,2,8,3,5,7,4] => [1,7,8,2,3,5,6,4] => 0000101
[1,3,4,8,5,2,6,7] => [1,5,3,4,8,2,6,7] => [1,3,4,8,5,2,6,7] => 0001001
[8,2,4,6,1,7,3,5] => [6,8,7,2,3,4,1,5] => [7,2,8,3,4,6,1,5] => 0000111
[4,7,2,1,5,6,8,3] => [2,7,8,4,1,5,6,3] => [4,8,2,1,5,6,7,3] => 1000011
[5,8,2,3,6,7,1,4] => [7,8,2,1,5,3,6,4] => [5,8,2,6,7,1,3,4] => 0000011
[1,5,7,2,3,6,8,4] => [1,7,2,8,5,3,6,4] => [1,5,8,2,3,6,7,4] => 0000011
[3,2,5,7,8,4,1,6] => [4,3,2,8,5,1,7,6] => [3,2,5,7,8,4,1,6] => 0110001
[4,2,5,3,7,8,1,6] => [8,4,5,2,3,1,7,6] => [5,2,4,3,7,8,1,6] => 0011001
[4,3,5,1,6,2,7,8] => [5,6,4,3,1,2,7,8] => [4,3,6,1,5,2,7,8] => 0011100
[8,6,3,5,4,1,2,7] => [4,1,5,6,2,8,3,7] => [8,6,1,2,5,4,3,7] => 0011101
[8,5,1,7,4,3,6,2] => [5,8,4,6,7,1,2,3] => [7,4,1,6,2,8,5,3] => 0011111
[5,4,8,3,1,7,2,6] => [3,8,7,5,4,1,2,6] => [5,4,7,1,8,3,2,6] => 0101011
[5,1,4,8,3,2,7,6] => [5,3,8,1,4,7,2,6] => [7,3,1,4,5,2,8,6] => 0101011
[3,8,7,2,6,4,1,5] => [4,6,3,7,2,1,8,5] => [3,8,7,2,6,4,1,5] => 0010111
[2,5,4,8,3,1,7,6] => [3,2,8,5,4,7,1,6] => [2,5,4,7,3,1,8,6] => 0101011
[5,4,8,2,1,3,7,6] => [2,8,1,5,4,7,3,6] => [5,4,7,2,1,3,8,6] => 1001011
[3,8,7,2,6,1,5,4] => [6,7,3,5,1,2,8,4] => [3,5,1,8,7,2,6,4] => 0001111
[7,8,1,5,2,3,6,4] => [8,5,2,6,1,3,7,4] => [6,2,5,1,3,7,8,4] => 0001101
[7,8,6,4,1,5,3,2] => [4,3,6,5,2,8,7,1] => [5,3,2,7,8,6,4,1] => 0111101
[5,6,1,7,4,2,3,8] => [6,4,2,7,5,1,3,8] => [5,7,4,2,6,1,3,8] => 0010110
[3,8,6,1,7,4,2,5] => [6,4,3,8,1,7,2,5] => [3,7,4,1,8,6,2,5] => 0010111
[7,5,2,4,8,3,6,1] => [6,5,7,3,8,2,4,1] => [8,3,7,5,2,4,6,1] => 0001111
[6,8,1,2,5,7,3,4] => [8,1,7,3,2,6,5,4] => [6,7,3,5,8,1,2,4] => 0000011
[7,2,6,5,8,3,4,1] => [4,7,8,3,6,2,5,1] => [6,3,8,5,7,2,4,1] => 0010111
[3,1,5,4,2,6,7,8] => [3,4,1,5,2,6,7,8] => [5,4,1,3,2,6,7,8] => 0111000
[5,2,3,6,7,4,1,8] => [4,7,1,5,3,6,2,8] => [5,1,3,6,7,4,2,8] => 0011010
[3,6,2,4,7,8,5,1] => [5,8,3,1,6,4,7,2] => [3,6,1,4,7,8,5,2] => 0001101
[3,7,6,2,5,4,8,1] => [8,6,3,5,2,7,4,1] => [3,5,2,7,6,4,8,1] => 0001111
[7,5,1,2,6,4,8,3] => [5,1,7,8,6,3,2,4] => [6,3,8,1,2,7,5,4] => 0001111
[2,1,8,6,5,3,7,4] => [2,1,5,6,8,7,3,4] => [2,1,7,3,8,6,5,4] => 1001111
[5,8,3,1,2,7,6,4] => [3,1,8,6,5,7,2,4] => [5,7,6,3,1,2,8,4] => 0100111
[8,4,5,7,2,1,3,6] => [2,7,1,8,4,3,5,6] => [8,4,7,2,1,3,5,6] => 1000011
[7,4,6,1,5,8,2,3] => [6,8,2,7,1,4,5,3] => [7,2,8,4,5,6,1,3] => 0000111
[4,8,5,1,2,3,6,7] => [5,1,2,4,8,3,6,7] => [4,8,5,1,2,3,6,7] => 0001001
[8,6,2,4,5,1,3,7] => [5,6,1,2,4,8,3,7] => [8,6,1,4,5,2,3,7] => 0001101
[4,5,1,3,8,6,2,7] => [5,6,1,4,3,8,2,7] => [4,8,6,1,3,5,2,7] => 0001101
[4,2,7,1,3,6,8,5] => [7,4,1,2,8,3,6,5] => [4,1,8,2,3,6,7,5] => 0010011
[7,3,6,5,8,4,2,1] => [2,4,8,7,6,1,5,3] => [6,2,1,7,5,8,4,3] => 1010111
[7,4,2,3,6,8,5,1] => [5,4,1,8,7,3,6,2] => [7,4,1,3,6,8,5,2] => 0011011
[2,1,6,7,4,8,3,5] => [2,1,8,7,3,6,4,5] => [2,1,6,7,3,8,4,5] => 1000011
[1,5,6,4,7,2,8,3] => [1,7,8,6,5,4,2,3] => [1,5,6,4,8,2,7,3] => 0000111
[7,2,6,8,4,5,3,1] => [3,5,7,8,4,1,6,2] => [8,4,6,7,1,5,3,2] => 0101011
[7,3,6,8,5,1,4,2] => [5,4,8,3,7,1,6,2] => [7,3,4,1,6,8,5,2] => 0011011
[6,7,8,4,3,1,5,2] => [3,4,8,5,1,6,7,2] => [5,1,6,7,8,4,3,2] => 0111001
[7,3,8,1,6,4,5,2] => [8,5,7,6,4,1,3,2] => [6,4,7,1,5,3,8,2] => 0001111
[7,5,2,8,1,4,6,3] => [8,5,7,1,6,4,3,2] => [6,1,4,7,5,3,8,2] => 0001111
[3,7,8,2,6,5,1,4] => [5,6,3,2,8,1,7,4] => [3,7,8,2,6,5,1,4] => 0001101
[6,7,8,2,5,4,3,1] => [3,4,5,8,2,6,7,1] => [6,7,8,2,5,4,3,1] => 0111001
[7,8,1,6,2,5,4,3] => [8,6,4,5,2,1,7,3] => [5,4,2,6,1,7,8,3] => 0011101
[4,1,8,3,7,6,5,2] => [4,5,6,1,7,8,3,2] => [8,1,7,6,5,3,4,2] => 0011111
[7,1,6,8,5,4,3,2] => [7,3,4,5,8,1,6,2] => [8,5,4,3,1,6,7,2] => 0111011
[4,7,6,2,5,3,1,8] => [3,5,6,4,1,7,2,8] => [4,7,6,1,5,3,2,8] => 0101110
[7,8,1,6,5,4,2,3] => [8,4,2,5,6,1,7,3] => [6,5,4,2,7,8,1,3] => 0011101
[8,4,6,3,5,2,1,7] => [2,5,6,8,3,4,1,7] => [8,3,6,4,5,2,1,7] => 1001101
[4,6,8,2,5,3,1,7] => [3,5,8,4,1,6,2,7] => [4,6,8,1,5,3,2,7] => 0101001
[5,6,8,1,2,3,7,4] => [8,1,2,7,5,6,3,4] => [5,6,7,1,2,3,8,4] => 0000011
[4,8,1,2,7,6,5,3] => [8,1,5,4,6,7,2,3] => [4,7,6,5,1,2,8,3] => 0001111
[3,6,2,1,8,5,7,4] => [2,6,3,7,8,1,5,4] => [3,8,2,1,7,5,6,4] => 1000111
[3,8,2,7,5,1,4,6] => [5,7,3,2,8,4,1,6] => [3,8,2,4,7,5,1,6] => 0001011
[3,6,2,8,1,4,7,5] => [8,6,3,1,7,2,4,5] => [3,7,1,6,2,4,8,5] => 0000111
[4,7,8,2,1,6,3,5] => [2,8,6,4,3,1,7,5] => [4,6,3,7,8,2,1,5] => 1000101
[5,7,8,4,2,1,3,6] => [2,4,1,8,5,3,7,6] => [5,7,8,4,2,1,3,6] => 1010001
[7,5,8,4,3,1,2,6] => [3,1,4,8,7,2,5,6] => [7,4,3,1,2,8,5,6] => 0110011
[1,6,4,5,2,7,3,8] => [1,5,7,6,4,2,3,8] => [1,6,4,7,2,5,3,8] => 0001110
[6,2,1,5,7,3,4,8] => [2,6,7,3,1,5,4,8] => [7,3,5,6,2,1,4,8] => 1000110
[6,2,4,8,3,5,1,7] => [5,6,8,2,3,4,1,7] => [8,2,6,3,4,5,1,7] => 0001101
[1,2,3,4,5,8,9,6,7] => [1,2,3,4,5,9,6,8,7] => [1,2,3,4,5,8,9,6,7] => 00000001
[1,2,4,6,8,3,7,5] => [1,2,8,4,7,6,3,5] => [1,2,4,6,7,3,8,5] => 0000011
[1,3,5,8,2,6,7,4] => [1,8,3,7,5,2,6,4] => [1,3,5,7,2,6,8,4] => 0000011
[6,4,5,8,3,7,1,2] => [7,1,8,6,4,5,3,2] => [6,4,5,8,3,7,1,2] => 0000111
[8,1,4,3,6,7,2,5] => [8,7,4,1,2,3,6,5] => [4,1,7,2,6,8,3,5] => 0010011
[8,1,6,5,2,4,3,7] => [8,5,4,2,6,1,3,7] => [4,2,6,5,1,8,3,7] => 0011101
[5,7,8,1,4,3,2,6] => [8,3,4,1,5,2,7,6] => [4,3,1,5,7,8,2,6] => 0110001
[1,7,8,4,3,2,6,5] => [1,3,4,8,6,2,7,5] => [1,6,4,3,2,7,8,5] => 0110101
[1,4,7,2,3,6,8,5] => [1,7,2,4,8,3,6,5] => [1,4,8,2,3,6,7,5] => 0000011
[2,7,1,4,3,5,8,6] => [7,2,4,1,3,8,5,6] => [2,4,1,8,3,5,7,6] => 0010011
[8,1,5,7,3,4,2,6] => [8,4,7,3,1,2,5,6] => [7,3,4,1,8,2,5,6] => 0010011
[8,5,1,3,2,7,4,6] => [5,3,1,8,7,2,4,6] => [3,1,7,2,8,5,4,6] => 0101011
[2,1,6,3,8,7,5,4] => [2,1,6,5,7,3,8,4] => [2,1,8,7,5,3,6,4] => 1001111
[1,6,3,4,7,8,2,5] => [1,8,6,3,2,4,7,5] => [1,6,3,7,8,2,4,5] => 0000101
[3,1,7,6,5,2,8,4] => [3,5,1,6,7,8,2,4] => [8,1,3,2,7,6,5,4] => 0101111
[1,4,7,6,8,3,2,5] => [1,3,8,4,2,7,6,5] => [1,4,7,6,8,3,2,5] => 0100011
[7,2,1,5,6,3,8,4] => [2,7,6,8,1,5,3,4] => [8,2,1,5,6,3,7,4] => 1000111
[3,1,5,2,8,7,6,4] => [3,5,1,6,2,7,8,4] => [8,7,6,1,3,2,5,4] => 0101111
[5,3,1,8,6,2,4,7] => [3,5,6,1,2,8,4,7] => [8,6,1,5,3,2,4,7] => 0101101
[1,4,2,8,5,3,7,6] => [1,4,5,2,8,7,3,6] => [1,7,5,2,4,3,8,6] => 0011011
[1,7,4,8,3,5,2,6] => [1,5,8,7,3,2,4,6] => [1,7,3,8,2,5,4,6] => 0001011
[2,8,6,4,1,7,3,5] => [4,2,6,8,3,7,1,5] => [2,7,3,8,6,4,1,5] => 0010111
[1,8,4,2,7,5,3,6] => [1,4,8,5,7,2,3,6] => [1,7,5,2,8,4,3,6] => 0011011
[1,2,8,7,6,4,3,5] => [1,2,4,6,3,7,8,5] => [1,2,8,7,6,4,3,5] => 0010111
[1,6,5,7,8,4,2,3] => [1,4,2,8,6,5,7,3] => [1,6,5,7,8,4,2,3] => 0010101
[4,8,2,6,3,5,1,7] => [5,8,6,4,3,2,1,7] => [4,6,3,8,2,5,1,7] => 0001101
[3,1,5,8,2,7,4,6] => [3,8,1,7,5,4,2,6] => [5,7,4,8,1,3,2,6] => 0100011
[6,4,1,5,3,2,7,8] => [4,3,6,5,2,1,7,8] => [5,3,2,6,4,1,7,8] => 0111100
[6,2,1,5,4,3,7,8] => [2,6,4,5,1,3,7,8] => [5,4,2,1,6,3,7,8] => 1011100
[6,1,8,4,5,3,2,7] => [6,3,5,8,4,1,2,7] => [8,4,5,3,1,6,2,7] => 0101101
[2,6,1,8,5,7,4,3] => [6,2,4,7,8,1,5,3] => [2,8,4,1,7,5,6,3] => 0010111
[6,5,8,7,2,3,4,1] => [4,7,2,3,6,5,8,1] => [6,5,8,7,2,3,4,1] => 0010111
[6,3,8,4,5,2,7,1] => [7,5,6,8,4,3,2,1] => [8,4,6,3,5,2,7,1] => 0001111
[2,1,6,8,5,3,7,4] => [2,1,5,8,7,6,4,3] => [2,1,6,7,4,8,5,3] => 1001011
[6,5,8,7,4,1,2,3] => [4,1,2,7,6,5,8,3] => [6,5,8,7,4,1,2,3] => 0010111
[6,5,8,7,2,4,1,3] => [4,7,1,2,6,5,8,3] => [6,5,8,7,1,4,2,3] => 0010111
[6,1,8,4,5,7,3,2] => [6,3,7,8,4,1,5,2] => [8,4,7,3,1,5,6,2] => 0100111
[4,2,7,3,5,8,6,1] => [6,4,8,2,1,7,5,3] => [7,2,4,1,5,8,6,3] => 0010111
[3,5,1,8,4,7,6,2] => [5,6,3,7,1,8,2,4] => [3,8,1,7,6,2,5,4] => 0001111
[2,4,8,3,7,6,5,1] => [5,2,6,4,7,8,3,1] => [2,4,8,3,7,6,5,1] => 0001111
[3,6,8,2,5,7,4,1] => [4,7,3,8,1,6,5,2] => [3,6,8,1,5,7,4,2] => 0010011
[5,1,7,8,4,6,3,2] => [5,3,6,8,1,4,7,2] => [7,8,3,1,6,4,5,2] => 0101101
[5,7,4,8,3,2,6,1] => [6,3,8,7,5,2,4,1] => [5,7,3,2,8,4,6,1] => 0100111
[2,6,8,5,4,3,7,1] => [7,2,4,5,8,6,3,1] => [2,6,8,5,4,3,7,1] => 0011011
[4,6,8,3,2,5,7,1] => [7,3,8,4,2,6,5,1] => [4,6,8,3,2,5,7,1] => 0100011
[4,6,2,8,3,5,7,1] => [7,6,8,4,3,2,5,1] => [4,8,3,6,2,5,7,1] => 0000111
[3,5,8,2,7,4,6,1] => [6,8,3,7,5,4,2,1] => [3,5,7,4,8,2,6,1] => 0000111
[2,6,7,8,5,1,4,3] => [5,2,4,1,8,6,7,3] => [2,4,1,6,7,8,5,3] => 0011001
[2,6,8,5,7,4,3,1] => [3,2,4,7,8,6,5,1] => [2,6,8,5,7,4,3,1] => 0110011
[6,5,3,1,7,4,8,2] => [3,5,6,8,7,1,2,4] => [7,1,8,3,2,6,5,4] => 0101111
[2,7,6,3,4,1,8,5] => [4,2,6,3,7,8,5,1] => [2,8,5,7,6,3,4,1] => 0010111
[5,7,6,3,1,2,8,4] => [3,1,6,7,5,8,4,2] => [5,8,4,7,6,3,1,2] => 0100111
[6,7,5,1,4,8,2,3] => [5,7,1,2,8,6,4,3] => [6,8,1,4,7,5,2,3] => 0001011
[6,3,8,5,7,2,4,1] => [4,7,6,2,8,3,5,1] => [8,2,6,5,7,3,4,1] => 0010111
[1,5,4,8,6,2,3,7] => [1,6,2,5,4,8,3,7] => [1,5,4,8,6,2,3,7] => 0001101
[8,2,1,7,5,3,6,4] => [2,8,5,7,6,4,1,3] => [6,4,7,5,2,1,8,3] => 1001111
[8,3,4,7,1,5,6,2] => [7,6,8,3,1,5,4,2] => [8,3,5,6,1,4,7,2] => 0000111
[2,5,1,7,4,8,3,6] => [5,2,8,7,1,3,4,6] => [2,7,1,8,3,5,4,6] => 0001011
[5,1,7,4,2,8,3,6] => [5,4,7,8,1,2,3,6] => [8,1,7,4,2,5,3,6] => 0011011
[6,2,8,1,7,5,3,4] => [8,6,5,3,7,2,1,4] => [7,5,3,6,2,8,1,4] => 0001111
[4,2,8,7,5,1,6,3] => [5,4,7,2,6,3,8,1] => [6,2,4,3,8,7,5,1] => 0011111
[8,3,7,6,4,5,2,1] => [2,5,8,6,4,7,3,1] => [7,6,4,8,3,5,2,1] => 1001111
[3,5,1,8,7,6,2,4] => [5,6,3,2,1,7,8,4] => [3,8,7,6,2,5,1,4] => 0001111
[1,4,2,3,6,5,8,7,9] => [1,4,2,3,6,5,8,7,9] => [1,4,2,3,6,5,8,7,9] => 00101010
[1,4,2,3,6,5,8,7,10,9] => [1,4,2,3,6,5,8,7,10,9] => [1,4,2,3,6,5,8,7,10,9] => 001010101
[3,1,2,4,6,5,8,7,9] => [3,1,2,4,6,5,8,7,9] => [3,1,2,4,6,5,8,7,9] => 01001010
[4,7,8,3,5,6,1,2] => [6,1,8,4,3,5,7,2] => [4,7,8,3,5,6,1,2] => 0000101
[2,1,3,4,5,6,9,7,8] => [2,1,3,4,5,6,9,7,8] => [2,1,3,4,5,6,9,7,8] => 10000001
[1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => 0000000010
[2,1,3,4,5,6,7,10,8,9] => [2,1,3,4,5,6,7,10,8,9] => [2,1,3,4,5,6,7,10,8,9] => 100000001
[8,4,5,2,6,3,7,1] => [7,5,6,8,4,2,3,1] => [8,4,6,2,5,3,7,1] => 0001111
[2,5,6,4,8,3,7,1] => [7,2,8,6,5,4,3,1] => [2,5,6,4,8,3,7,1] => 0000111
[4,7,3,1,6,8,2,5] => [3,7,8,4,1,2,6,5] => [4,8,1,6,7,3,2,5] => 0100011
[1,7,4,6,8,3,2,5] => [1,3,8,7,2,4,6,5] => [1,7,3,2,6,8,4,5] => 0100011
[5,2,6,8,1,7,3,4] => [8,5,7,3,2,6,1,4] => [6,7,3,5,2,8,1,4] => 0001011
[5,2,6,7,1,3,8,4] => [7,5,1,8,2,6,3,4] => [6,8,1,5,2,3,7,4] => 0001011
[6,2,4,3,7,1,8,5] => [7,6,4,2,8,3,1,5] => [4,2,8,3,6,1,7,5] => 0010111
[1,3,2,7,6,4,8,5] => [1,3,2,6,7,8,5,4] => [1,3,2,8,5,7,6,4] => 0100111
[6,1,5,8,3,7,2,4] => [6,7,8,2,1,5,3,4] => [8,2,5,7,1,6,3,4] => 0000111
[4,1,2,7,5,3,8,6] => [4,1,5,2,7,8,3,6] => [8,5,1,2,4,3,7,6] => 0011011
[4,1,3,5,7,8,2,6] => [4,8,1,3,5,2,7,6] => [5,7,8,1,3,4,2,6] => 0010001
[1,2,4,7,5,3,8,6] => [1,2,5,4,7,8,3,6] => [1,2,4,8,5,3,7,6] => 0001011
[5,6,4,1,8,3,2,7] => [4,3,6,8,5,2,1,7] => [5,8,3,2,6,4,1,7] => 0110101
[2,3,7,8,5,1,6,4] => [5,2,3,8,6,4,7,1] => [2,3,6,4,7,8,5,1] => 0001101
[6,2,8,5,7,4,3,1] => [3,4,7,6,8,2,5,1] => [8,2,6,5,7,4,3,1] => 0110111
[1,2,6,7,4,3,5,8] => [1,2,4,7,3,6,5,8] => [1,2,6,7,4,3,5,8] => 0010010
[3,6,7,4,5,1,8,2] => [5,8,3,7,4,6,1,2] => [3,6,7,4,8,1,5,2] => 0001011
[5,8,6,3,4,1,2,7] => [4,1,6,3,5,8,2,7] => [5,8,6,3,4,1,2,7] => 0010101
[6,2,3,1,8,5,4,7] => [3,6,2,5,8,1,4,7] => [8,5,2,3,1,6,4,7] => 0101101
[5,1,2,6,4,8,3,7] => [5,1,8,6,2,4,3,7] => [6,1,2,8,4,5,3,7] => 0001101
[8,6,2,3,7,5,1,4] => [5,7,1,2,6,8,3,4] => [8,6,1,7,5,2,3,4] => 0001111
[8,7,9,1,2,3,4,5,6] => [9,1,2,3,4,5,8,7,6] => [8,7,9,1,2,3,4,5,6] => 00000011
[3,4,8,2,5,6,1,7] => [6,8,3,4,2,5,1,7] => [3,4,8,2,5,6,1,7] => 0000101
[8,5,6,3,7,1,4,2] => [7,4,6,1,8,5,3,2] => [8,5,6,1,4,3,7,2] => 0010111
[8,1,3,2,5,7,4,6] => [8,3,1,7,2,4,5,6] => [3,1,7,2,8,4,5,6] => 0100011
[6,3,2,5,8,4,1,7] => [4,3,8,6,1,5,2,7] => [6,3,1,5,8,4,2,7] => 0110101
[5,6,7,2,8,4,1,3] => [4,8,2,7,5,6,1,3] => [5,6,7,2,8,4,1,3] => 0010011
[3,4,1,7,6,2,8,5] => [4,6,3,1,7,8,5,2] => [3,8,5,7,6,1,4,2] => 0010111
[5,8,3,6,4,1,7,2] => [4,6,7,8,5,1,2,3] => [5,8,1,7,2,6,4,3] => 0010111
[2,4,7,1,5,8,3,6] => [7,2,8,4,1,3,5,6] => [2,4,8,1,7,3,5,6] => 0000011
[3,5,7,1,6,4,8,2] => [7,8,3,6,5,1,4,2] => [3,5,6,1,8,4,7,2] => 0000111
[2,8,4,5,1,6,3,7] => [5,2,6,8,4,1,3,7] => [2,8,4,6,1,5,3,7] => 0001101
[2,5,8,1,3,4,7,6] => [8,2,1,3,5,7,4,6] => [2,5,7,1,3,4,8,6] => 0000011
[3,5,1,8,7,4,2,6] => [5,4,3,7,1,2,8,6] => [3,8,7,4,1,5,2,6] => 0011011
[6,7,1,2,5,3,8,4] => [7,1,5,8,2,6,3,4] => [6,8,1,2,5,3,7,4] => 0001011
[4,6,1,3,8,2,7,5] => [6,8,1,4,7,3,2,5] => [4,7,1,3,8,2,6,5] => 0000111
[7,3,1,8,4,6,2,5] => [3,7,6,8,1,4,2,5] => [8,1,6,4,7,3,2,5] => 0100111
[7,6,1,2,3,5,8,4] => [6,1,2,7,4,8,5,3] => [8,4,5,7,6,1,2,3] => 0000111
[8,6,1,2,3,5,7,4] => [6,1,2,8,4,7,5,3] => [7,4,5,8,6,1,2,3] => 0000111
[8,2,6,7,4,3,1,5] => [3,4,7,8,1,2,6,5] => [8,1,6,7,4,3,2,5] => 0110011
[5,1,7,8,3,2,4,6] => [5,3,8,2,1,4,7,6] => [7,8,3,2,5,1,4,6] => 0101001
[3,1,7,6,2,8,5,4] => [3,6,1,5,7,8,4,2] => [8,5,4,7,6,1,3,2] => 0101111
[5,3,6,7,4,2,8,1] => [8,4,7,5,2,6,3,1] => [5,2,6,7,4,3,8,1] => 0011011
[2,4,5,1,8,7,6,3] => [5,2,6,4,1,7,8,3] => [2,4,8,7,6,1,5,3] => 0001111
[6,8,7,3,1,5,2,4] => [3,7,5,1,2,6,8,4] => [5,1,6,8,7,3,2,4] => 0101011
[6,1,4,2,8,7,3,5] => [6,4,7,1,3,2,8,5] => [8,7,1,4,3,6,2,5] => 0010111
[3,7,2,6,8,4,5,1] => [5,7,3,8,4,2,6,1] => [3,8,4,6,7,2,5,1] => 0001011
[1,3,8,7,2,6,4,5] => [1,7,3,6,4,2,8,5] => [1,3,6,4,8,7,2,5] => 0000111
[6,2,1,8,5,7,4,3] => [2,6,4,7,8,1,5,3] => [8,4,2,1,7,5,6,3] => 1010111
[5,4,7,2,3,8,6,1] => [6,8,1,5,4,7,3,2] => [5,4,7,1,3,8,6,2] => 0001111
[6,5,7,8,1,3,4,2] => [8,4,1,3,6,5,7,2] => [4,1,3,6,5,7,8,2] => 0010101
[2,1,7,6,8,4,5,3] => [2,1,5,8,4,7,6,3] => [2,1,7,6,8,4,5,3] => 1001011
[6,4,7,2,8,3,1,5] => [3,8,7,6,2,4,1,5] => [6,2,7,4,8,3,1,5] => 0100111
[6,4,7,1,8,5,3,2] => [7,3,5,8,6,2,1,4] => [6,3,2,8,5,1,7,4] => 0101111
[4,6,3,1,7,5,8,2] => [3,6,8,4,7,2,5,1] => [4,7,2,8,5,6,3,1] => 0100111
[2,4,7,3,8,5,1,6] => [5,2,8,4,7,3,1,6] => [2,4,7,3,8,5,1,6] => 0001011
[2,7,3,1,8,5,4,6] => [3,2,7,5,8,4,1,6] => [2,8,5,4,7,3,1,6] => 0101011
[2,5,3,1,7,4,8,6] => [3,2,5,7,1,8,4,6] => [2,8,3,1,5,4,7,6] => 0101011
[2,4,3,1,7,5,8,6] => [3,2,4,1,7,8,5,6] => [2,4,3,1,8,5,7,6] => 0110011
[2,7,3,8,6,5,1,4] => [5,2,6,1,8,7,3,4] => [2,7,1,8,6,5,3,4] => 0001111
[2,8,3,1,7,4,5,6] => [3,2,8,7,4,5,1,6] => [2,7,4,5,8,3,1,6] => 0100011
[7,1,6,3,8,4,2,5] => [7,4,8,6,3,1,2,5] => [6,3,8,4,1,7,2,5] => 0010111
[5,8,4,2,6,1,7,3] => [6,4,8,7,5,3,1,2] => [5,7,3,8,4,1,6,2] => 0010111
[1,6,2,5,7,8,3,4] => [1,6,8,3,2,5,7,4] => [1,7,8,3,5,6,2,4] => 0000101
[1,7,8,2,5,4,6,3] => [1,8,6,5,2,4,7,3] => [1,5,2,6,4,7,8,3] => 0001101
[1,2,6,8,3,4,7,5] => [1,2,8,3,7,6,4,5] => [1,2,6,7,3,4,8,5] => 0000011
[1,8,2,6,7,3,5,4] => [1,8,7,5,3,2,6,4] => [1,5,3,7,2,6,8,4] => 0001011
[1,3,6,8,4,7,2,5] => [1,7,3,8,2,6,4,5] => [1,3,6,8,2,7,4,5] => 0000011
[1,5,6,8,3,2,4,7] => [1,3,8,2,5,6,4,7] => [1,5,6,8,3,2,4,7] => 0100001
[1,8,2,7,3,5,6,4] => [1,8,7,6,3,5,2,4] => [1,6,3,5,7,2,8,4] => 0000111
[1,8,3,2,7,4,6,5] => [1,3,8,7,6,4,2,5] => [1,6,4,7,3,2,8,5] => 0100111
[1,2,8,5,3,4,7,6] => [1,2,5,3,8,7,4,6] => [1,2,7,5,3,4,8,6] => 0001011
[1,7,4,8,6,5,3,2] => [1,3,5,6,8,7,4,2] => [1,7,4,8,6,5,3,2] => 0101111
[1,6,8,7,2,4,3,5] => [1,7,4,2,3,6,8,5] => [1,4,2,6,8,7,3,5] => 0010011
[1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => [1,6,4,7,2,3,8,5] => 0000111
[1,5,4,7,2,8,3,6] => [1,7,8,5,4,3,2,6] => [1,5,4,8,3,7,2,6] => 0001011
[4,6,7,1,5,2,8,3] => [7,5,8,4,1,6,2,3] => [4,6,8,1,5,2,7,3] => 0001011
[3,7,5,2,6,1,8,4] => [6,5,3,7,8,4,1,2] => [3,8,4,7,5,1,6,2] => 0001111
[3,8,5,2,6,1,7,4] => [6,5,3,8,7,4,1,2] => [3,7,4,8,5,1,6,2] => 0001111
[8,1,2,6,5,3,4,7] => [8,1,5,3,6,2,4,7] => [6,5,3,8,1,2,4,7] => 0001101
[3,7,4,2,5,6,1,8] => [6,4,3,7,2,5,1,8] => [3,7,4,2,5,6,1,8] => 0010110
[6,7,1,3,4,2,5,8] => [7,4,1,3,2,6,5,8] => [4,1,3,6,7,2,5,8] => 0010010
[3,4,2,8,6,7,5,1] => [5,4,3,2,7,8,6,1] => [3,4,2,8,6,7,5,1] => 0011011
[3,7,8,6,1,4,2,5] => [6,4,3,1,2,8,7,5] => [3,4,1,7,8,6,2,5] => 0010101
[3,6,1,5,2,7,8,4] => [6,5,3,8,1,2,7,4] => [3,7,8,1,5,2,6,4] => 0001101
[7,1,6,8,3,4,2,5] => [7,4,8,3,2,1,6,5] => [8,3,4,2,6,7,1,5] => 0010011
[7,4,8,1,2,6,3,5] => [8,1,6,7,3,2,4,5] => [7,3,6,1,2,8,4,5] => 0000111
[3,7,8,4,2,5,6,1] => [6,4,3,8,2,5,7,1] => [3,7,8,4,2,5,6,1] => 0010101
[3,6,1,5,2,8,4,7] => [6,5,3,8,1,2,4,7] => [3,8,1,5,2,6,4,7] => 0001101
[7,1,3,4,8,5,2,6] => [7,5,1,3,8,2,4,6] => [8,5,1,3,7,2,4,6] => 0001011
[3,4,2,8,5,1,6,7] => [5,4,3,2,8,1,6,7] => [3,4,2,8,5,1,6,7] => 0011001
[1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => 01100000
[6,8,2,7,5,4,1,3] => [4,5,1,7,8,6,2,3] => [6,8,1,7,5,4,2,3] => 0011011
[1,8,4,3,7,6,2,5] => [1,6,4,7,3,8,2,5] => [1,8,4,3,7,6,2,5] => 0010111
[4,3,8,5,7,1,6,2] => [7,6,4,3,8,1,5,2] => [4,3,8,1,6,5,7,2] => 0010111
[6,3,4,8,7,2,1,5] => [2,7,6,3,1,4,8,5] => [6,3,8,7,2,1,4,5] => 1000111
[5,3,8,4,7,1,6,2] => [7,6,5,8,3,1,4,2] => [8,3,5,1,6,4,7,2] => 0001111
[2,7,8,3,1,6,4,5] => [3,2,8,6,4,1,7,5] => [2,6,4,7,8,3,1,5] => 0100101
[3,5,8,7,4,1,6,2] => [4,7,3,6,5,2,8,1] => [3,5,6,2,8,7,4,1] => 0010111
[3,6,7,8,2,4,1,5] => [4,8,3,2,1,6,7,5] => [3,6,7,8,2,4,1,5] => 0010001
[4,5,7,8,6,3,1,2] => [3,1,6,4,5,8,7,2] => [4,5,7,8,6,3,1,2] => 0100101
[3,7,6,8,2,4,1,5] => [4,8,3,2,1,7,6,5] => [3,7,6,8,2,4,1,5] => 0010011
[4,5,6,8,7,3,1,2] => [3,1,7,4,5,6,8,2] => [4,5,6,8,7,3,1,2] => 0100011
[8,1,7,5,4,3,6,2] => [8,6,4,5,7,3,1,2] => [7,5,4,3,6,1,8,2] => 0011111
[6,1,5,3,8,4,7,2] => [6,7,5,8,1,3,4,2] => [8,1,5,3,7,4,6,2] => 0001111
[4,6,7,1,2,5,3,8] => [7,1,5,4,2,6,3,8] => [4,5,1,2,6,7,3,8] => 0001010
[1,4,6,7,8,2,5,3] => [1,8,5,4,2,6,7,3] => [1,4,5,2,6,7,8,3] => 0001001
[3,7,1,6,2,4,5,8] => [7,6,3,2,4,1,5,8] => [3,6,2,4,7,1,5,8] => 0000110
[1,8,6,2,5,4,7,3] => [1,6,8,5,3,7,4,2] => [1,5,3,7,4,8,6,2] => 0001111
[5,3,4,1,6,7,2,8] => [4,7,5,3,1,6,2,8] => [5,3,6,7,1,4,2,8] => 0011010
[5,2,1,6,4,3,8,7] => [2,5,4,6,1,3,8,7] => [6,4,2,1,5,3,8,7] => 1011101
[6,2,7,4,8,3,1,5] => [3,8,6,7,2,1,4,5] => [7,2,6,3,1,8,4,5] => 0100111
[1,5,4,2,7,6,8,3] => [1,4,5,8,3,7,6,2] => [1,7,6,8,3,5,4,2] => 0011011
[6,8,2,7,5,1,4,3] => [5,7,4,2,8,6,1,3] => [4,2,6,8,1,7,5,3] => 0011011
[8,3,4,5,6,1,7,2] => [6,7,8,3,4,5,1,2] => [8,3,4,5,7,1,6,2] => 0000111
[5,3,6,4,7,2,1,8] => [2,7,5,6,3,4,1,8] => [6,3,5,4,7,2,1,8] => 1001110
[4,2,6,5,7,3,1,8] => [3,7,4,1,6,5,2,8] => [4,1,6,5,7,3,2,8] => 0110110
[3,2,6,5,8,4,1,7] => [4,3,2,8,6,5,1,7] => [3,2,6,5,8,4,1,7] => 0110101
[3,2,6,5,8,7,1,4] => [7,3,2,1,6,5,8,4] => [3,2,6,5,8,7,1,4] => 0100111
[5,4,7,6,8,2,1,3] => [2,8,1,5,4,7,6,3] => [5,4,7,6,8,2,1,3] => 1001011
[4,3,7,2,8,5,1,6] => [5,8,4,3,7,2,1,6] => [4,3,7,2,8,5,1,6] => 0011011
[4,3,6,2,8,5,1,7] => [5,8,4,3,6,1,2,7] => [4,3,6,1,8,5,2,7] => 0011101
[5,3,7,6,8,2,1,4] => [2,8,5,1,3,7,6,4] => [5,2,1,7,6,8,3,4] => 1001011
[3,2,6,4,8,7,1,5] => [7,3,2,6,1,4,8,5] => [3,2,6,1,8,7,4,5] => 0100111
[3,2,7,6,8,4,1,5] => [4,3,2,8,1,7,6,5] => [3,2,7,6,8,4,1,5] => 0110011
[3,2,7,6,8,5,1,4] => [5,3,2,1,8,7,6,4] => [3,2,7,6,8,5,1,4] => 0101011
[6,2,7,5,8,4,1,3] => [4,8,2,6,7,1,5,3] => [7,2,6,5,8,4,1,3] => 0010111
[4,7,5,8,3,2,6,1] => [6,3,8,4,7,2,5,1] => [4,7,3,2,8,5,6,1] => 0100111
[3,8,5,2,6,4,7,1] => [7,5,3,8,6,4,2,1] => [3,6,4,8,5,2,7,1] => 0001111
[7,2,5,3,4,8,1,6] => [8,7,5,3,2,1,4,6] => [5,3,7,2,8,1,4,6] => 0001011
[7,4,8,3,5,1,6,2] => [5,6,8,7,3,1,4,2] => [7,3,8,1,6,4,5,2] => 0001111
[6,4,7,8,5,1,2,3] => [5,1,2,8,6,3,7,4] => [6,1,2,3,7,8,5,4] => 0001101
[5,3,6,2,4,1,8,7] => [4,6,5,2,3,1,8,7] => [5,2,6,3,4,1,8,7] => 0011101
[7,5,6,2,3,8,4,1] => [4,8,1,6,7,5,3,2] => [7,5,6,1,3,8,4,2] => 0010111
[2,7,5,6,4,3,8,1] => [8,2,4,6,7,5,3,1] => [2,7,5,6,4,3,8,1] => 0010111
[2,8,4,3,7,5,6,1] => [6,2,4,8,7,5,3,1] => [2,7,5,8,4,3,6,1] => 0010111
[3,8,5,7,6,4,2,1] => [2,4,3,6,7,8,1,5] => [3,8,4,2,1,7,6,5] => 1010111
[7,8,6,3,5,4,2,1] => [2,4,5,6,1,8,7,3] => [7,8,6,2,1,5,4,3] => 1011101
[7,4,2,5,6,3,8,1] => [8,4,7,6,3,5,2,1] => [6,3,5,7,4,2,8,1] => 0010111
[2,4,8,3,7,5,6,1] => [6,2,8,4,7,5,3,1] => [2,4,7,5,8,3,6,1] => 0000111
[4,8,3,7,5,6,2,1] => [2,6,8,4,7,5,3,1] => [4,7,5,8,3,6,2,1] => 1000111
[6,2,5,8,3,7,4,1] => [4,7,6,8,3,5,1,2] => [8,3,5,6,1,7,4,2] => 0010111
[4,7,3,8,2,5,6,1] => [6,8,7,4,2,5,3,1] => [4,7,2,5,8,3,6,1] => 0000111
[8,2,5,6,3,7,4,1] => [4,7,8,6,3,5,1,2] => [6,3,5,8,1,7,4,2] => 0010111
[6,4,7,3,1,2,5,8] => [3,1,7,6,2,4,5,8] => [6,3,1,2,7,4,5,8] => 0100110
[7,8,5,1,4,3,2,6] => [5,3,4,1,8,2,7,6] => [4,3,1,7,8,5,2,6] => 0111001
[6,7,3,2,8,4,1,5] => [4,3,8,7,2,6,1,5] => [6,7,3,2,8,4,1,5] => 0110011
[8,5,3,6,2,1,4,7] => [2,6,5,1,8,3,4,7] => [8,5,2,1,6,3,4,7] => 1001101
[5,7,8,1,2,6,4,3] => [8,1,4,6,5,2,7,3] => [5,6,4,1,2,7,8,3] => 0010101
[6,2,7,3,5,8,1,4] => [8,6,7,1,3,2,5,4] => [7,1,6,3,5,8,2,4] => 0000111
[4,7,1,3,8,6,5,2] => [7,5,1,4,6,8,3,2] => [4,8,6,5,1,3,7,2] => 0001111
[2,5,6,1,8,7,3,4] => [6,2,7,3,5,1,8,4] => [2,5,8,7,3,6,1,4] => 0000111
[2,3,8,7,4,6,5,1] => [5,2,3,6,7,1,8,4] => [2,3,8,7,1,6,5,4] => 0001111
[2,3,8,5,7,4,6,1] => [6,2,3,7,8,4,5,1] => [2,3,8,4,7,5,6,1] => 0000111
[3,5,2,8,7,4,6,1] => [6,5,3,7,2,4,8,1] => [3,8,7,2,5,4,6,1] => 0001111
[8,1,5,6,3,4,2,7] => [8,4,6,3,1,5,2,7] => [6,3,4,1,5,8,2,7] => 0010101
[5,7,8,3,4,6,2,1] => [2,6,8,3,5,4,7,1] => [5,7,8,3,4,6,2,1] => 1000101
[7,5,3,8,6,4,2,1] => [2,4,6,5,8,7,3,1] => [7,5,3,8,6,4,2,1] => 1011111
[5,8,3,1,6,4,2,7] => [3,8,4,6,5,2,1,7] => [5,6,4,2,8,3,1,7] => 0110101
[5,8,1,3,6,4,2,7] => [8,4,1,6,5,3,2,7] => [5,6,4,1,3,8,2,7] => 0010101
[7,5,8,3,6,4,2,1] => [2,4,6,8,7,1,5,3] => [7,2,1,8,5,6,4,3] => 1010111
[3,7,5,8,2,6,4,1] => [4,6,3,8,7,1,5,2] => [3,7,1,8,5,6,4,2] => 0010111
[3,1,7,8,4,2,6,5] => [3,4,1,8,6,2,7,5] => [6,4,1,3,2,7,8,5] => 0110101
[5,1,2,4,6,3,7,8] => [5,1,6,2,4,3,7,8] => [6,1,2,4,5,3,7,8] => 0001100
[1,4,6,5,7,2,3,8] => [1,7,2,4,6,5,3,8] => [1,4,6,5,7,2,3,8] => 0000110
[6,7,3,5,4,1,2,8] => [4,1,5,7,2,6,3,8] => [6,7,1,2,5,4,3,8] => 0011010
[7,2,4,1,6,5,3,8] => [4,7,5,2,6,1,3,8] => [6,5,2,7,1,4,3,8] => 0011110
[1,3,2,6,8,4,7,5] => [1,3,2,8,7,6,4,5] => [1,3,2,6,7,4,8,5] => 0100011
[8,2,5,6,3,4,7,1] => [7,8,6,3,2,5,4,1] => [6,3,5,8,2,4,7,1] => 0000111
[1,2,6,4,7,3,5,8] => [1,2,7,6,3,4,5,8] => [1,2,6,3,7,4,5,8] => 0000110
[6,3,1,7,2,4,5,8] => [3,6,7,1,4,2,5,8] => [7,1,4,6,3,2,5,8] => 0100110
[1,6,4,3,7,2,5,8] => [1,7,4,6,2,3,5,8] => [1,6,4,2,7,3,5,8] => 0010110
[5,7,8,3,2,6,1,4] => [6,3,8,1,5,2,7,4] => [5,7,8,3,1,6,2,4] => 0100101
[2,3,4,5,6,7,8,9,11,10,1] => [10,2,3,4,5,6,7,8,9,11,1] => [2,3,4,5,6,7,8,9,11,10,1] => 0000000011
[4,8,5,2,3,7,6,1] => [6,5,1,4,7,8,3,2] => [4,8,5,1,3,7,6,2] => 0001111
[6,7,4,3,8,2,1,5] => [2,8,4,7,1,6,3,5] => [6,7,4,2,1,8,3,5] => 1010011
[7,4,5,1,3,8,2,6] => [5,8,1,7,4,2,3,6] => [7,4,8,1,5,2,3,6] => 0001011
[8,6,5,7,3,1,4,2] => [3,7,4,2,6,8,5,1] => [4,2,8,6,5,7,3,1] => 0110111
[8,5,6,7,1,3,4,2] => [7,4,1,3,8,5,6,2] => [4,1,3,8,5,6,7,2] => 0010011
[6,8,7,5,4,2,3,1] => [3,4,2,5,7,6,8,1] => [6,8,7,5,4,2,3,1] => 0111011
[7,3,1,8,6,5,2,4] => [3,7,5,1,6,8,2,4] => [8,6,5,1,7,3,2,4] => 0101111
[7,1,3,2,4,6,5,8] => [7,3,1,2,6,4,5,8] => [3,1,6,2,4,7,5,8] => 0100110
[2,7,3,1,4,8,6,5] => [3,2,7,1,6,8,4,5] => [2,8,6,3,1,4,7,5] => 0100111
[4,7,6,8,1,3,5,2] => [8,5,1,4,3,7,6,2] => [4,5,1,3,7,6,8,2] => 0001011
[7,4,6,3,5,1,8,2] => [5,8,6,7,3,4,1,2] => [7,3,6,4,8,1,5,2] => 0001111
[5,4,8,6,1,7,3,2] => [6,3,8,5,4,7,2,1] => [5,4,7,3,2,8,6,1] => 0101111
[3,5,4,7,1,8,6,2] => [7,6,3,5,4,8,1,2] => [3,5,4,8,6,1,7,2] => 0001111
[3,8,2,4,5,7,1,6] => [7,8,3,2,4,1,5,6] => [3,8,2,4,7,1,5,6] => 0000011
[7,4,5,1,3,6,2,8] => [5,6,1,7,4,3,2,8] => [7,4,6,1,3,5,2,8] => 0001110
[7,3,6,4,5,1,2,8] => [5,1,7,6,4,3,2,8] => [6,4,7,3,5,1,2,8] => 0001110
[2,1,8,7,3,6,5,4] => [2,1,7,5,6,3,8,4] => [2,1,6,5,3,8,7,4] => 1001111
[5,8,6,3,1,2,7,4] => [3,1,6,8,5,7,4,2] => [5,7,4,8,6,3,1,2] => 0100111
[2,6,5,4,1,3,7,8] => [4,2,1,5,6,3,7,8] => [2,6,5,4,1,3,7,8] => 0011100
[2,5,4,1,7,8,3,6] => [4,2,5,8,3,1,7,6] => [2,7,8,3,5,4,1,6] => 0011001
[7,3,6,1,4,5,2,8] => [6,5,7,1,4,3,2,8] => [7,1,4,5,3,6,2,8] => 0001110
[7,1,4,5,2,8,3,6] => [7,5,8,1,4,3,2,6] => [8,1,4,5,3,7,2,6] => 0001011
[5,4,2,1,8,7,3,6] => [2,4,5,7,3,1,8,6] => [8,7,3,5,4,2,1,6] => 1011011
[5,1,4,8,3,6,2,7] => [5,6,8,1,4,3,2,7] => [8,1,4,6,3,5,2,7] => 0001101
[1,4,6,5,7,2,8,3] => [1,7,8,4,6,5,2,3] => [1,4,6,5,8,2,7,3] => 0000111
[2,5,3,6,7,8,4,1] => [4,2,8,5,1,6,7,3] => [2,5,1,6,7,8,4,3] => 0011001
[6,4,2,7,8,3,5,1] => [5,4,6,8,2,3,7,1] => [7,8,2,6,4,3,5,1] => 0011101
[5,3,1,6,8,7,2,4] => [3,5,7,1,2,6,8,4] => [6,8,7,1,5,3,2,4] => 0101011
[1,8,6,2,4,3,5,7] => [1,6,4,2,3,8,5,7] => [1,4,2,8,6,3,5,7] => 0010101
[8,3,1,4,2,6,7,5] => [3,8,4,2,7,1,6,5] => [4,2,7,3,1,6,8,5] => 0110011
[7,4,2,5,3,8,6,1] => [6,4,8,5,1,7,2,3] => [5,1,7,4,2,8,6,3] => 0011111
[2,3,4,7,5,8,6,1] => [6,2,3,4,8,7,1,5] => [2,3,4,7,1,8,6,5] => 0000111
[1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => [1,7,2,5,8,3,4,6] => 0000011
[7,5,2,8,6,4,3,1] => [3,4,6,5,8,7,1,2] => [7,5,1,8,6,4,3,2] => 0111111
[7,8,3,2,6,5,4,1] => [4,3,5,6,8,2,7,1] => [7,8,3,2,6,5,4,1] => 0111101
[6,5,2,8,1,4,7,3] => [8,5,6,1,7,3,4,2] => [7,1,6,5,3,4,8,2] => 0001111
[1,7,6,3,8,2,5,4] => [1,8,6,5,2,7,3,4] => [1,5,2,7,6,3,8,4] => 0001111
[7,2,6,8,3,1,4,5] => [3,8,7,2,4,1,6,5] => [7,2,4,6,8,3,1,5] => 0100011
[6,1,3,7,8,4,5,2] => [6,5,1,8,4,3,7,2] => [7,8,4,5,1,3,6,2] => 0001101
[6,8,7,4,1,3,2,5] => [4,3,1,7,2,6,8,5] => [3,1,6,8,7,4,2,5] => 0110011
[8,6,7,2,5,3,1,4] => [3,5,7,2,1,8,6,4] => [8,6,7,2,5,3,1,4] => 0101011
[8,6,2,7,5,4,1,3] => [4,5,1,7,6,8,2,3] => [8,6,1,7,5,4,2,3] => 0011111
[1,6,8,2,7,5,3,4] => [1,8,5,3,7,6,2,4] => [1,6,7,5,3,8,2,4] => 0001011
[5,7,3,1,2,8,6,4] => [3,1,7,6,5,8,2,4] => [5,8,6,3,1,2,7,4] => 0100111
[1,5,3,7,4,2,6,8] => [1,4,7,5,2,3,6,8] => [1,5,2,7,4,3,6,8] => 0011010
[1,7,6,4,3,2,8,5] => [1,3,4,6,7,8,5,2] => [1,8,5,7,6,4,3,2] => 0110111
[7,4,3,6,2,5,1,8] => [5,6,4,7,2,3,1,8] => [7,4,2,6,3,5,1,8] => 0011110
[1,7,6,3,4,2,5,8] => [1,4,6,3,2,7,5,8] => [1,7,6,3,4,2,5,8] => 0010110
[1,2,7,4,3,8,6,5] => [1,2,4,7,6,8,3,5] => [1,2,8,6,4,3,7,5] => 0010111
[1,5,4,7,3,2,8,6] => [1,3,7,5,4,8,2,6] => [1,5,4,8,3,2,7,6] => 0101011
[1,7,6,3,5,2,8,4] => [1,5,6,7,4,8,2,3] => [1,8,4,7,6,2,5,3] => 0001111
[1,5,4,2,3,8,7,6] => [1,4,2,5,3,7,8,6] => [1,5,4,2,3,8,7,6] => 0011011
[1,5,3,2,4,6,7,8] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => 0101000
[1,5,3,7,6,2,4,8] => [1,6,5,2,3,7,4,8] => [1,5,2,7,6,3,4,8] => 0001110
[1,2,7,5,3,6,8,4] => [1,2,5,7,8,4,6,3] => [1,2,8,4,6,7,5,3] => 0001011
[1,2,7,6,3,5,4,8] => [1,2,6,5,3,7,4,8] => [1,2,5,3,7,6,4,8] => 0001110
[1,5,4,2,3,7,8,6] => [1,4,2,5,3,8,7,6] => [1,5,4,2,3,7,8,6] => 0011001
[8,1,3,2,6,5,7,4] => [8,3,1,7,6,2,5,4] => [3,1,6,2,7,5,8,4] => 0100111
[4,3,7,2,8,1,6,5] => [8,7,4,3,6,1,2,5] => [4,3,6,1,7,2,8,5] => 0010111
[3,2,7,5,6,1,8,4] => [6,3,2,8,7,5,1,4] => [3,2,7,5,8,1,6,4] => 0100111
[7,5,6,1,3,2,8,4] => [6,3,1,8,7,5,2,4] => [3,1,7,5,8,2,6,4] => 0100111
[7,4,5,1,6,3,8,2] => [5,8,6,7,4,1,3,2] => [7,4,6,1,8,3,5,2] => 0001111
[7,5,6,1,4,3,8,2] => [6,8,4,1,7,5,3,2] => [4,1,7,5,8,3,6,2] => 0010111
[4,2,8,3,6,5,7,1] => [7,4,8,2,6,3,5,1] => [6,2,4,3,8,5,7,1] => 0010111
[8,1,4,3,5,2,7,6] => [8,5,4,1,3,7,2,6] => [4,1,5,3,7,2,8,6] => 0011011
[6,2,8,5,7,1,4,3] => [7,6,4,1,8,2,5,3] => [4,1,8,2,6,5,7,3] => 0010111
[6,4,8,5,7,1,3,2] => [7,3,1,6,8,4,5,2] => [3,1,8,4,6,5,7,2] => 0100111
[5,3,4,1,6,2,8,7] => [4,6,5,3,1,2,8,7] => [5,3,6,1,4,2,8,7] => 0011101
[6,5,7,3,4,1,8,2] => [4,8,7,3,6,5,1,2] => [6,5,7,3,8,1,4,2] => 0010111
[5,2,7,6,8,1,4,3] => [8,5,4,1,2,7,6,3] => [4,1,5,2,7,6,8,3] => 0011011
[7,2,8,1,6,3,5,4] => [8,7,6,5,3,1,2,4] => [5,3,6,1,7,2,8,4] => 0001111
[5,8,4,1,2,6,3,7] => [4,1,8,6,5,3,2,7] => [5,6,3,8,4,1,2,7] => 0010101
[6,4,7,1,2,8,3,5] => [7,1,8,6,3,4,2,5] => [6,3,8,4,7,1,2,5] => 0000111
[3,7,4,8,2,5,6,1] => [6,8,3,7,2,5,4,1] => [3,7,2,5,8,4,6,1] => 0000111
[8,3,4,5,1,6,2,7] => [5,6,8,3,4,1,2,7] => [8,3,4,6,1,5,2,7] => 0001101
[8,4,1,2,3,6,5,7] => [4,1,2,8,6,3,5,7] => [6,4,1,2,3,8,5,7] => 0010101
[8,2,1,5,3,4,6,7] => [2,8,5,3,1,4,6,7] => [5,3,8,2,1,4,6,7] => 1001001
[3,8,2,6,4,7,5,1] => [5,7,3,8,6,4,1,2] => [3,6,4,8,1,7,5,2] => 0001111
[4,3,7,5,8,1,2,6] => [8,1,4,3,7,2,5,6] => [4,3,7,1,2,8,5,6] => 0010011
[6,8,5,3,1,4,7,2] => [3,5,8,1,7,6,4,2] => [6,7,1,4,8,5,3,2] => 0101011
[6,1,4,7,3,5,8,2] => [6,8,7,1,3,4,5,2] => [7,1,8,3,4,5,6,2] => 0000111
[6,5,8,3,2,7,4,1] => [4,3,7,8,6,5,1,2] => [6,5,8,3,1,7,4,2] => 0110111
[2,3,5,4,8,1,7,6] => [8,2,3,5,4,7,1,6] => [2,3,5,4,7,1,8,6] => 0001011
[3,7,5,6,8,1,2,4] => [8,1,3,2,7,5,6,4] => [3,7,5,6,8,1,2,4] => 0000011
[1,6,2,4,5,7,8,3] => [1,6,8,2,4,5,7,3] => [1,7,8,2,4,5,6,3] => 0000101
[3,6,5,2,4,1,7,8] => [4,5,3,2,6,1,7,8] => [3,6,5,2,4,1,7,8] => 0011100
[4,7,2,5,6,1,8,3] => [6,7,8,4,2,5,1,3] => [4,8,2,5,7,1,6,3] => 0000111
[3,8,1,6,5,2,4,7] => [8,5,3,2,6,1,4,7] => [3,6,5,2,8,1,4,7] => 0001101
[3,4,2,8,6,7,1,5] => [7,4,3,2,1,8,6,5] => [3,4,2,8,6,7,1,5] => 0010011
[3,7,1,6,2,5,8,4] => [7,6,3,8,2,1,5,4] => [3,8,2,6,1,5,7,4] => 0000111
[3,7,4,1,6,2,5,8] => [4,7,3,6,1,2,5,8] => [3,6,1,7,4,2,5,8] => 0010110
[3,6,2,5,1,8,7,4] => [5,6,3,7,2,1,8,4] => [3,8,7,2,6,1,5,4] => 0001111
[3,6,2,5,1,7,4,8] => [5,6,3,7,2,1,4,8] => [3,7,2,6,1,5,4,8] => 0001110
[7,6,1,8,5,2,4,3] => [6,5,4,1,7,8,2,3] => [4,1,8,5,2,7,6,3] => 0011111
[4,6,7,2,5,1,8,3] => [5,7,8,4,2,6,1,3] => [4,6,8,2,7,1,5,3] => 0001011
[3,4,2,7,8,1,5,6] => [8,4,3,2,1,5,7,6] => [3,4,2,7,8,1,5,6] => 0010001
[8,3,4,7,2,5,1,6] => [5,7,8,3,2,1,4,6] => [8,3,7,2,5,1,4,6] => 0001011
[7,3,4,6,5,8,1,2] => [8,1,7,3,6,4,5,2] => [6,3,4,7,5,8,1,2] => 0000111
[7,3,6,8,1,4,5,2] => [8,5,7,1,4,3,6,2] => [7,1,4,5,3,6,8,2] => 0001011
[5,1,8,6,7,2,4,3] => [5,7,4,2,1,8,6,3] => [4,2,8,6,7,1,5,3] => 0011011
[7,8,5,1,2,4,3,6] => [5,1,4,2,8,3,7,6] => [4,1,2,7,8,5,3,6] => 0011001
[6,5,8,2,1,4,3,7] => [2,8,4,1,6,5,3,7] => [4,2,1,6,5,8,3,7] => 1010101
[8,6,3,2,1,7,5,4] => [2,3,6,5,8,7,4,1] => [7,5,4,8,6,3,2,1] => 1101111
[6,1,3,4,2,5,8,7] => [6,4,1,3,2,5,8,7] => [4,1,3,6,2,5,8,7] => 0010101
[5,1,3,6,2,4,8,7] => [5,6,1,2,3,4,8,7] => [6,1,5,2,3,4,8,7] => 0001101
[8,6,3,4,2,1,7,5] => [2,4,6,3,8,7,5,1] => [7,5,8,6,3,4,2,1] => 1010111
[3,7,1,8,5,2,6,4] => [7,5,3,8,6,4,1,2] => [3,6,4,8,5,1,7,2] => 0001111
[2,6,1,4,3,7,8,5] => [6,2,4,1,8,3,7,5] => [2,4,1,7,8,3,6,5] => 0010101
[1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => [1,4,2,6,3,5,8,7] => 0010101
[3,8,5,7,6,4,1,2] => [4,1,3,6,7,8,2,5] => [3,8,4,1,2,7,6,5] => 0010111
[5,3,7,6,1,8,4,2] => [6,4,7,5,2,8,3,1] => [5,2,8,4,3,7,6,1] => 0011111
[5,1,7,6,3,8,4,2] => [5,4,8,6,1,7,2,3] => [7,6,1,8,4,2,5,3] => 0011111
[1,5,7,6,3,8,4,2] => [1,4,8,6,5,7,2,3] => [1,5,7,6,2,8,4,3] => 0010111
[7,3,6,1,5,8,4,2] => [6,4,8,7,1,2,5,3] => [7,1,8,4,2,5,6,3] => 0010111
[3,6,1,7,5,8,4,2] => [6,4,3,8,7,1,5,2] => [3,7,4,1,8,5,6,2] => 0010111
[7,4,5,1,8,3,2,6] => [5,3,8,7,4,2,1,6] => [7,4,8,3,2,5,1,6] => 0101011
[7,2,1,8,5,4,3,6] => [2,7,4,5,8,3,1,6] => [8,5,4,3,7,2,1,6] => 1011011
[5,6,2,8,4,7,3,1] => [3,7,6,8,5,1,4,2] => [5,8,1,6,4,7,3,2] => 0100111
[5,6,8,2,3,7,4,1] => [4,7,1,8,5,6,3,2] => [5,6,8,1,3,7,4,2] => 0010011
[8,4,5,7,1,2,6,3] => [7,1,6,8,4,2,5,3] => [8,4,6,1,2,5,7,3] => 0000111
[5,7,6,3,4,1,2,8] => [4,1,6,3,5,7,2,8] => [5,7,6,3,4,1,2,8] => 0010110
[5,7,6,1,3,2,4,8] => [6,3,1,2,5,7,4,8] => [3,1,5,7,6,2,4,8] => 0100110
[5,3,4,1,2,7,6,8] => [4,1,5,3,2,7,6,8] => [5,3,4,1,2,7,6,8] => 0011010
[7,8,5,1,3,2,4,6] => [5,3,1,2,8,4,7,6] => [3,1,7,8,5,2,4,6] => 0101001
[3,5,4,1,7,6,2,8] => [4,5,3,6,2,7,1,8] => [3,7,6,2,5,4,1,8] => 0011110
[7,1,3,8,2,5,4,6] => [7,8,1,5,2,4,3,6] => [5,1,8,4,7,2,3,6] => 0001011
[3,1,5,4,7,2,6,8] => [3,7,1,5,4,2,6,8] => [5,4,7,1,3,2,6,8] => 0101010
[3,1,5,7,4,2,6,8] => [3,4,1,7,5,2,6,8] => [5,7,4,1,3,2,6,8] => 0110010
[1,6,3,7,2,4,5,8] => [1,7,6,2,4,3,5,8] => [1,6,2,4,7,3,5,8] => 0000110
[4,7,8,5,1,3,2,6] => [5,3,1,4,8,2,7,6] => [3,1,4,7,8,5,2,6] => 0101001
[5,3,2,4,8,1,7,6] => [8,3,5,2,4,7,1,6] => [5,3,2,4,7,1,8,6] => 0101011
[7,4,1,3,6,5,8,2] => [4,7,2,8,6,3,5,1] => [6,2,3,8,5,7,4,1] => 0010111
[6,8,5,3,2,7,1,4] => [7,3,5,1,8,6,2,4] => [6,8,5,3,1,7,2,4] => 0101011
[4,6,2,7,1,3,8,5] => [7,6,1,4,8,2,3,5] => [4,8,1,6,2,3,7,5] => 0000111
[7,2,5,3,6,1,8,4] => [6,7,5,8,2,3,1,4] => [8,2,5,3,7,1,6,4] => 0001111
[8,2,4,5,6,7,1,3] => [7,8,1,2,4,5,6,3] => [8,1,4,5,6,7,2,3] => 0000011
[3,5,1,4,8,6,7,2] => [5,7,3,1,4,8,6,2] => [3,8,6,7,1,4,5,2] => 0001011
[4,5,1,8,7,3,2,6] => [5,3,7,4,1,2,8,6] => [4,8,7,3,1,5,2,6] => 0101011
[5,1,4,7,3,2,6,8] => [5,3,7,1,4,2,6,8] => [7,3,1,4,5,2,6,8] => 0101010
[5,1,4,8,7,3,2,6] => [5,3,7,1,4,2,8,6] => [8,7,3,1,4,5,2,6] => 0101011
[7,1,4,8,5,3,2,6] => [7,3,5,1,8,2,4,6] => [8,5,3,1,7,2,4,6] => 0101011
[8,3,2,6,7,1,5,4] => [7,3,8,5,1,2,6,4] => [5,3,1,8,2,6,7,4] => 0101011
[6,1,3,4,5,2,8,7] => [6,5,1,3,4,2,8,7] => [5,1,3,4,6,2,8,7] => 0001101
[6,5,2,3,7,8,1,4] => [8,5,2,1,6,3,7,4] => [6,5,2,7,8,1,3,4] => 0001101
[8,4,2,7,3,5,1,6] => [5,4,8,7,2,1,3,6] => [7,2,8,4,1,5,3,6] => 0011011
[1,5,3,8,4,2,7,6] => [1,4,8,5,2,7,3,6] => [1,5,2,7,4,3,8,6] => 0011011
[5,4,2,1,8,3,7,6] => [2,4,5,8,3,7,1,6] => [7,3,5,4,2,1,8,6] => 1011011
[3,8,1,4,2,6,7,5] => [8,4,3,1,7,2,6,5] => [3,4,1,7,2,6,8,5] => 0010011
[8,6,5,2,7,3,1,4] => [3,7,5,2,6,8,1,4] => [8,6,5,2,7,3,1,4] => 0101111
[3,1,6,8,4,2,7,5] => [3,4,1,8,7,6,2,5] => [6,7,4,1,3,2,8,5] => 0110011
[8,4,5,7,2,3,1,6] => [3,7,2,8,4,1,5,6] => [8,4,7,2,3,1,5,6] => 0100011
[8,1,6,7,3,4,5,2] => [8,5,7,3,4,1,6,2] => [7,3,4,5,1,6,8,2] => 0001011
[1,5,6,8,3,2,7,4] => [1,3,8,7,5,6,2,4] => [1,5,6,7,3,2,8,4] => 0100011
[7,4,5,6,2,8,1,3] => [8,6,1,7,4,5,2,3] => [7,4,5,6,1,8,2,3] => 0000111
[3,1,6,7,2,5,8,4] => [3,7,1,8,2,6,5,4] => [6,8,1,3,2,5,7,4] => 0100011
[1,5,2,8,3,6,7,4] => [1,5,8,7,2,3,6,4] => [1,7,2,6,8,3,5,4] => 0001011
[6,2,4,7,3,5,1,8] => [5,6,7,2,3,4,1,8] => [7,2,6,3,4,5,1,8] => 0001110
[1,4,8,5,3,6,7,2] => [1,7,5,4,8,3,6,2] => [1,4,8,5,3,6,7,2] => 0001011
[4,5,1,2,7,8,6,3] => [5,1,6,4,2,8,7,3] => [4,7,8,6,1,2,5,3] => 0001101
[4,6,7,5,1,2,8,3] => [5,1,7,4,8,6,3,2] => [4,6,8,3,7,5,1,2] => 0001011
[7,2,8,1,4,5,3,6] => [8,7,5,1,4,3,2,6] => [5,1,4,7,3,8,2,6] => 0001011
[6,1,4,7,3,8,2,5] => [6,8,7,1,2,4,3,5] => [7,1,8,2,4,6,3,5] => 0000111
[7,1,6,3,4,8,2,5] => [7,8,6,3,2,1,4,5] => [6,3,8,2,7,1,4,5] => 0000111
[2,8,4,6,3,1,5,7] => [3,2,6,8,1,4,5,7] => [2,8,3,1,6,4,5,7] => 0100101
[3,8,4,1,7,2,5,6] => [4,8,3,7,1,5,2,6] => [3,7,1,5,8,4,2,6] => 0010011
[8,5,1,3,6,7,2,4] => [5,8,2,1,7,3,6,4] => [7,2,6,8,5,1,3,4] => 0001011
[7,8,6,2,4,1,3,5] => [4,6,1,2,3,8,7,5] => [7,8,6,1,4,2,3,5] => 0010101
[8,2,4,1,3,6,7,5] => [4,8,1,2,7,3,6,5] => [7,1,4,2,3,6,8,5] => 0010011
[8,1,3,6,2,5,7,4] => [8,6,1,7,2,3,5,4] => [7,1,6,2,3,5,8,4] => 0000111
[5,6,1,3,7,2,8,4] => [6,7,1,8,5,3,2,4] => [5,8,1,3,7,2,6,4] => 0000111
[5,7,8,3,6,4,2,1] => [2,4,6,8,5,1,7,3] => [5,7,8,2,1,6,4,3] => 1010101
[1,7,8,6,3,4,2,5] => [1,4,6,3,2,8,7,5] => [1,7,8,6,3,4,2,5] => 0010101
[3,7,5,8,6,4,2,1] => [2,4,3,6,8,7,1,5] => [3,7,4,2,1,8,6,5] => 1010111
[7,8,3,5,6,4,2,1] => [2,4,6,8,1,5,7,3] => [7,8,2,1,5,6,4,3] => 1010101
[8,1,3,5,6,4,2,7] => [8,4,1,6,3,5,2,7] => [6,4,1,3,5,8,2,7] => 0010101
[1,3,8,5,6,4,2,7] => [1,4,3,6,8,5,2,7] => [1,3,8,5,6,4,2,7] => 0010101
[1,3,5,8,6,4,2,7] => [1,4,3,6,5,8,2,7] => [1,3,5,8,6,4,2,7] => 0010101
[1,5,7,8,6,4,2,3] => [1,4,2,6,5,8,7,3] => [1,5,7,8,6,4,2,3] => 0010101
[2,1,4,3,6,5,9,8,10,7] => [2,1,4,3,6,5,10,9,8,7] => [2,1,4,3,6,5,9,8,10,7] => 101010011
[2,1,4,3,7,6,8,5,10,9] => [2,1,4,3,8,7,6,5,10,9] => [2,1,4,3,7,6,8,5,10,9] => 101001101
[2,1,4,3,7,6,9,8,10,5] => [2,1,4,3,10,7,6,9,8,5] => [2,1,4,3,7,6,9,8,10,5] => 101001011
[2,1,4,3,8,7,9,6,10,5] => [2,1,4,3,10,9,8,7,6,5] => [2,1,4,3,8,7,9,6,10,5] => 101000111
[2,1,5,4,6,3,8,7,10,9] => [2,1,6,5,4,3,8,7,10,9] => [2,1,5,4,6,3,8,7,10,9] => 100110101
[2,1,5,4,6,3,9,8,10,7] => [2,1,6,5,4,3,10,9,8,7] => [2,1,5,4,6,3,9,8,10,7] => 100110011
[2,1,5,4,7,6,8,3,10,9] => [2,1,8,5,4,7,6,3,10,9] => [2,1,5,4,7,6,8,3,10,9] => 100101101
[2,1,5,4,7,6,9,8,10,3] => [2,1,10,5,4,7,6,9,8,3] => [2,1,5,4,7,6,9,8,10,3] => 100101011
[2,1,5,4,8,7,9,6,10,3] => [2,1,10,5,4,9,8,7,6,3] => [2,1,5,4,8,7,9,6,10,3] => 100100111
[2,1,6,5,7,4,8,3,10,9] => [2,1,8,7,6,5,4,3,10,9] => [2,1,6,5,7,4,8,3,10,9] => 100011101
[2,1,6,5,7,4,9,8,10,3] => [2,1,10,7,6,5,4,9,8,3] => [2,1,6,5,7,4,9,8,10,3] => 100011011
[2,1,6,5,8,7,9,4,10,3] => [2,1,10,9,6,5,8,7,4,3] => [2,1,6,5,8,7,9,4,10,3] => 100010111
[2,1,7,6,8,5,9,4,10,3] => [2,1,10,9,8,7,6,5,4,3] => [2,1,7,6,8,5,9,4,10,3] => 100001111
[3,2,4,1,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,10,9] => [3,2,4,1,6,5,8,7,10,9] => 011010101
[3,2,4,1,6,5,9,8,10,7] => [4,3,2,1,6,5,10,9,8,7] => [3,2,4,1,6,5,9,8,10,7] => 011010011
[3,2,4,1,7,6,8,5,10,9] => [4,3,2,1,8,7,6,5,10,9] => [3,2,4,1,7,6,8,5,10,9] => 011001101
[3,2,4,1,7,6,9,8,10,5] => [4,3,2,1,10,7,6,9,8,5] => [3,2,4,1,7,6,9,8,10,5] => 011001011
[3,2,4,1,8,7,9,6,10,5] => [4,3,2,1,10,9,8,7,6,5] => [3,2,4,1,8,7,9,6,10,5] => 011000111
[3,2,5,4,6,1,8,7,10,9] => [6,3,2,5,4,1,8,7,10,9] => [3,2,5,4,6,1,8,7,10,9] => 010110101
[3,2,5,4,6,1,9,8,10,7] => [6,3,2,5,4,1,10,9,8,7] => [3,2,5,4,6,1,9,8,10,7] => 010110011
[3,2,5,4,7,6,8,1,10,9] => [8,3,2,5,4,7,6,1,10,9] => [3,2,5,4,7,6,8,1,10,9] => 010101101
[3,2,5,4,7,6,9,8,10,1] => [10,3,2,5,4,7,6,9,8,1] => [3,2,5,4,7,6,9,8,10,1] => 010101011
[3,2,5,4,8,7,9,6,10,1] => [10,3,2,5,4,9,8,7,6,1] => [3,2,5,4,8,7,9,6,10,1] => 010100111
[3,2,6,5,7,4,8,1,10,9] => [8,3,2,7,6,5,4,1,10,9] => [3,2,6,5,7,4,8,1,10,9] => 010011101
[3,2,6,5,7,4,9,8,10,1] => [10,3,2,7,6,5,4,9,8,1] => [3,2,6,5,7,4,9,8,10,1] => 010011011
[3,2,6,5,8,7,9,4,10,1] => [10,3,2,9,6,5,8,7,4,1] => [3,2,6,5,8,7,9,4,10,1] => 010010111
[3,2,7,6,8,5,9,4,10,1] => [10,3,2,9,8,7,6,5,4,1] => [3,2,7,6,8,5,9,4,10,1] => 010001111
[4,3,5,2,6,1,8,7,10,9] => [6,5,4,3,2,1,8,7,10,9] => [4,3,5,2,6,1,8,7,10,9] => 001110101
[4,3,5,2,6,1,9,8,10,7] => [6,5,4,3,2,1,10,9,8,7] => [4,3,5,2,6,1,9,8,10,7] => 001110011
[4,3,5,2,7,6,8,1,10,9] => [8,5,4,3,2,7,6,1,10,9] => [4,3,5,2,7,6,8,1,10,9] => 001101101
[4,3,5,2,7,6,9,8,10,1] => [10,5,4,3,2,7,6,9,8,1] => [4,3,5,2,7,6,9,8,10,1] => 001101011
[4,3,5,2,8,7,9,6,10,1] => [10,5,4,3,2,9,8,7,6,1] => [4,3,5,2,8,7,9,6,10,1] => 001100111
[4,3,6,5,7,2,8,1,10,9] => [8,7,4,3,6,5,2,1,10,9] => [4,3,6,5,7,2,8,1,10,9] => 001011101
[4,3,6,5,7,2,9,8,10,1] => [10,7,4,3,6,5,2,9,8,1] => [4,3,6,5,7,2,9,8,10,1] => 001011011
[4,3,6,5,8,7,9,2,10,1] => [10,9,4,3,6,5,8,7,2,1] => [4,3,6,5,8,7,9,2,10,1] => 001010111
[4,3,7,6,8,5,9,2,10,1] => [10,9,4,3,8,7,6,5,2,1] => [4,3,7,6,8,5,9,2,10,1] => 001001111
[5,4,6,3,7,2,8,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => [5,4,6,3,7,2,8,1,10,9] => 000111101
[5,4,6,3,7,2,9,8,10,1] => [10,7,6,5,4,3,2,9,8,1] => [5,4,6,3,7,2,9,8,10,1] => 000111011
[5,4,6,3,8,7,9,2,10,1] => [10,9,6,5,4,3,8,7,2,1] => [5,4,6,3,8,7,9,2,10,1] => 000110111
[5,4,7,6,8,3,9,2,10,1] => [10,9,8,5,4,7,6,3,2,1] => [5,4,7,6,8,3,9,2,10,1] => 000101111
[2,1,4,3,6,5,8,7,11,10,12,9] => [2,1,4,3,6,5,8,7,12,11,10,9] => [2,1,4,3,6,5,8,7,11,10,12,9] => 10101010011
[2,1,4,3,6,5,9,8,10,7,12,11] => [2,1,4,3,6,5,10,9,8,7,12,11] => [2,1,4,3,6,5,9,8,10,7,12,11] => 10101001101
[2,1,4,3,6,5,9,8,11,10,12,7] => [2,1,4,3,6,5,12,9,8,11,10,7] => [2,1,4,3,6,5,9,8,11,10,12,7] => 10101001011
[2,1,4,3,6,5,10,9,11,8,12,7] => [2,1,4,3,6,5,12,11,10,9,8,7] => [2,1,4,3,6,5,10,9,11,8,12,7] => 10101000111
[2,1,4,3,7,6,8,5,10,9,12,11] => [2,1,4,3,8,7,6,5,10,9,12,11] => [2,1,4,3,7,6,8,5,10,9,12,11] => 10100110101
[2,1,4,3,7,6,8,5,11,10,12,9] => [2,1,4,3,8,7,6,5,12,11,10,9] => [2,1,4,3,7,6,8,5,11,10,12,9] => 10100110011
[2,1,4,3,7,6,9,8,10,5,12,11] => [2,1,4,3,10,7,6,9,8,5,12,11] => [2,1,4,3,7,6,9,8,10,5,12,11] => 10100101101
[2,1,4,3,7,6,9,8,11,10,12,5] => [2,1,4,3,12,7,6,9,8,11,10,5] => [2,1,4,3,7,6,9,8,11,10,12,5] => 10100101011
[2,1,4,3,7,6,10,9,11,8,12,5] => [2,1,4,3,12,7,6,11,10,9,8,5] => [2,1,4,3,7,6,10,9,11,8,12,5] => 10100100111
[2,1,4,3,8,7,9,6,10,5,12,11] => [2,1,4,3,10,9,8,7,6,5,12,11] => [2,1,4,3,8,7,9,6,10,5,12,11] => 10100011101
[2,1,4,3,8,7,9,6,11,10,12,5] => [2,1,4,3,12,9,8,7,6,11,10,5] => [2,1,4,3,8,7,9,6,11,10,12,5] => 10100011011
[2,1,4,3,8,7,10,9,11,6,12,5] => [2,1,4,3,12,11,8,7,10,9,6,5] => [2,1,4,3,8,7,10,9,11,6,12,5] => 10100010111
[2,1,4,3,9,8,10,7,11,6,12,5] => [2,1,4,3,12,11,10,9,8,7,6,5] => [2,1,4,3,9,8,10,7,11,6,12,5] => 10100001111
[2,1,5,4,6,3,8,7,10,9,12,11] => [2,1,6,5,4,3,8,7,10,9,12,11] => [2,1,5,4,6,3,8,7,10,9,12,11] => 10011010101
[2,1,5,4,6,3,8,7,11,10,12,9] => [2,1,6,5,4,3,8,7,12,11,10,9] => [2,1,5,4,6,3,8,7,11,10,12,9] => 10011010011
[2,1,5,4,6,3,9,8,10,7,12,11] => [2,1,6,5,4,3,10,9,8,7,12,11] => [2,1,5,4,6,3,9,8,10,7,12,11] => 10011001101
[2,1,5,4,6,3,9,8,11,10,12,7] => [2,1,6,5,4,3,12,9,8,11,10,7] => [2,1,5,4,6,3,9,8,11,10,12,7] => 10011001011
[2,1,5,4,6,3,10,9,11,8,12,7] => [2,1,6,5,4,3,12,11,10,9,8,7] => [2,1,5,4,6,3,10,9,11,8,12,7] => 10011000111
[2,1,5,4,7,6,8,3,10,9,12,11] => [2,1,8,5,4,7,6,3,10,9,12,11] => [2,1,5,4,7,6,8,3,10,9,12,11] => 10010110101
[2,1,5,4,7,6,8,3,11,10,12,9] => [2,1,8,5,4,7,6,3,12,11,10,9] => [2,1,5,4,7,6,8,3,11,10,12,9] => 10010110011
[2,1,5,4,7,6,9,8,10,3,12,11] => [2,1,10,5,4,7,6,9,8,3,12,11] => [2,1,5,4,7,6,9,8,10,3,12,11] => 10010101101
[2,1,5,4,7,6,9,8,11,10,12,3] => [2,1,12,5,4,7,6,9,8,11,10,3] => [2,1,5,4,7,6,9,8,11,10,12,3] => 10010101011
[2,1,5,4,7,6,10,9,11,8,12,3] => [2,1,12,5,4,7,6,11,10,9,8,3] => [2,1,5,4,7,6,10,9,11,8,12,3] => 10010100111
[2,1,5,4,8,7,9,6,10,3,12,11] => [2,1,10,5,4,9,8,7,6,3,12,11] => [2,1,5,4,8,7,9,6,10,3,12,11] => 10010011101
[2,1,5,4,8,7,9,6,11,10,12,3] => [2,1,12,5,4,9,8,7,6,11,10,3] => [2,1,5,4,8,7,9,6,11,10,12,3] => 10010011011
[2,1,5,4,8,7,10,9,11,6,12,3] => [2,1,12,5,4,11,8,7,10,9,6,3] => [2,1,5,4,8,7,10,9,11,6,12,3] => 10010010111
[2,1,5,4,9,8,10,7,11,6,12,3] => [2,1,12,5,4,11,10,9,8,7,6,3] => [2,1,5,4,9,8,10,7,11,6,12,3] => 10010001111
[2,1,6,5,7,4,8,3,10,9,12,11] => [2,1,8,7,6,5,4,3,10,9,12,11] => [2,1,6,5,7,4,8,3,10,9,12,11] => 10001110101
[2,1,6,5,7,4,8,3,11,10,12,9] => [2,1,8,7,6,5,4,3,12,11,10,9] => [2,1,6,5,7,4,8,3,11,10,12,9] => 10001110011
[2,1,6,5,7,4,9,8,10,3,12,11] => [2,1,10,7,6,5,4,9,8,3,12,11] => [2,1,6,5,7,4,9,8,10,3,12,11] => 10001101101
[2,1,6,5,7,4,9,8,11,10,12,3] => [2,1,12,7,6,5,4,9,8,11,10,3] => [2,1,6,5,7,4,9,8,11,10,12,3] => 10001101011
[2,1,6,5,7,4,10,9,11,8,12,3] => [2,1,12,7,6,5,4,11,10,9,8,3] => [2,1,6,5,7,4,10,9,11,8,12,3] => 10001100111
[2,1,6,5,8,7,9,4,10,3,12,11] => [2,1,10,9,6,5,8,7,4,3,12,11] => [2,1,6,5,8,7,9,4,10,3,12,11] => 10001011101
[2,1,6,5,8,7,9,4,11,10,12,3] => [2,1,12,9,6,5,8,7,4,11,10,3] => [2,1,6,5,8,7,9,4,11,10,12,3] => 10001011011
[2,1,6,5,8,7,10,9,11,4,12,3] => [2,1,12,11,6,5,8,7,10,9,4,3] => [2,1,6,5,8,7,10,9,11,4,12,3] => 10001010111
[2,1,6,5,9,8,10,7,11,4,12,3] => [2,1,12,11,6,5,10,9,8,7,4,3] => [2,1,6,5,9,8,10,7,11,4,12,3] => 10001001111
[2,1,7,6,8,5,9,4,10,3,12,11] => [2,1,10,9,8,7,6,5,4,3,12,11] => [2,1,7,6,8,5,9,4,10,3,12,11] => 10000111101
[2,1,7,6,8,5,9,4,11,10,12,3] => [2,1,12,9,8,7,6,5,4,11,10,3] => [2,1,7,6,8,5,9,4,11,10,12,3] => 10000111011
[2,1,7,6,8,5,10,9,11,4,12,3] => [2,1,12,11,8,7,6,5,10,9,4,3] => [2,1,7,6,8,5,10,9,11,4,12,3] => 10000110111
[2,1,7,6,9,8,10,5,11,4,12,3] => [2,1,12,11,10,7,6,9,8,5,4,3] => [2,1,7,6,9,8,10,5,11,4,12,3] => 10000101111
[2,1,8,7,9,6,10,5,11,4,12,3] => [2,1,12,11,10,9,8,7,6,5,4,3] => [2,1,8,7,9,6,10,5,11,4,12,3] => 10000011111
[3,2,4,1,6,5,8,7,10,9,12,11] => [4,3,2,1,6,5,8,7,10,9,12,11] => [3,2,4,1,6,5,8,7,10,9,12,11] => 01101010101
[3,2,4,1,6,5,8,7,11,10,12,9] => [4,3,2,1,6,5,8,7,12,11,10,9] => [3,2,4,1,6,5,8,7,11,10,12,9] => 01101010011
[3,2,4,1,6,5,9,8,10,7,12,11] => [4,3,2,1,6,5,10,9,8,7,12,11] => [3,2,4,1,6,5,9,8,10,7,12,11] => 01101001101
[3,2,4,1,6,5,9,8,11,10,12,7] => [4,3,2,1,6,5,12,9,8,11,10,7] => [3,2,4,1,6,5,9,8,11,10,12,7] => 01101001011
[3,2,4,1,6,5,10,9,11,8,12,7] => [4,3,2,1,6,5,12,11,10,9,8,7] => [3,2,4,1,6,5,10,9,11,8,12,7] => 01101000111
[3,2,4,1,7,6,8,5,10,9,12,11] => [4,3,2,1,8,7,6,5,10,9,12,11] => [3,2,4,1,7,6,8,5,10,9,12,11] => 01100110101
[3,2,4,1,7,6,8,5,11,10,12,9] => [4,3,2,1,8,7,6,5,12,11,10,9] => [3,2,4,1,7,6,8,5,11,10,12,9] => 01100110011
[3,2,4,1,7,6,9,8,10,5,12,11] => [4,3,2,1,10,7,6,9,8,5,12,11] => [3,2,4,1,7,6,9,8,10,5,12,11] => 01100101101
[3,2,4,1,7,6,9,8,11,10,12,5] => [4,3,2,1,12,7,6,9,8,11,10,5] => [3,2,4,1,7,6,9,8,11,10,12,5] => 01100101011
[3,2,4,1,7,6,10,9,11,8,12,5] => [4,3,2,1,12,7,6,11,10,9,8,5] => [3,2,4,1,7,6,10,9,11,8,12,5] => 01100100111
[3,2,4,1,8,7,9,6,10,5,12,11] => [4,3,2,1,10,9,8,7,6,5,12,11] => [3,2,4,1,8,7,9,6,10,5,12,11] => 01100011101
[3,2,4,1,8,7,9,6,11,10,12,5] => [4,3,2,1,12,9,8,7,6,11,10,5] => [3,2,4,1,8,7,9,6,11,10,12,5] => 01100011011
[3,2,4,1,8,7,10,9,11,6,12,5] => [4,3,2,1,12,11,8,7,10,9,6,5] => [3,2,4,1,8,7,10,9,11,6,12,5] => 01100010111
[3,2,4,1,9,8,10,7,11,6,12,5] => [4,3,2,1,12,11,10,9,8,7,6,5] => [3,2,4,1,9,8,10,7,11,6,12,5] => 01100001111
[3,2,5,4,6,1,8,7,10,9,12,11] => [6,3,2,5,4,1,8,7,10,9,12,11] => [3,2,5,4,6,1,8,7,10,9,12,11] => 01011010101
[3,2,5,4,6,1,8,7,11,10,12,9] => [6,3,2,5,4,1,8,7,12,11,10,9] => [3,2,5,4,6,1,8,7,11,10,12,9] => 01011010011
[3,2,5,4,6,1,9,8,10,7,12,11] => [6,3,2,5,4,1,10,9,8,7,12,11] => [3,2,5,4,6,1,9,8,10,7,12,11] => 01011001101
[3,2,5,4,6,1,9,8,11,10,12,7] => [6,3,2,5,4,1,12,9,8,11,10,7] => [3,2,5,4,6,1,9,8,11,10,12,7] => 01011001011
[3,2,5,4,6,1,10,9,11,8,12,7] => [6,3,2,5,4,1,12,11,10,9,8,7] => [3,2,5,4,6,1,10,9,11,8,12,7] => 01011000111
[3,2,5,4,7,6,8,1,10,9,12,11] => [8,3,2,5,4,7,6,1,10,9,12,11] => [3,2,5,4,7,6,8,1,10,9,12,11] => 01010110101
[3,2,5,4,7,6,8,1,11,10,12,9] => [8,3,2,5,4,7,6,1,12,11,10,9] => [3,2,5,4,7,6,8,1,11,10,12,9] => 01010110011
[3,2,5,4,7,6,9,8,10,1,12,11] => [10,3,2,5,4,7,6,9,8,1,12,11] => [3,2,5,4,7,6,9,8,10,1,12,11] => 01010101101
[3,2,5,4,7,6,9,8,11,10,12,1] => [12,3,2,5,4,7,6,9,8,11,10,1] => [3,2,5,4,7,6,9,8,11,10,12,1] => 01010101011
[3,2,5,4,7,6,10,9,11,8,12,1] => [12,3,2,5,4,7,6,11,10,9,8,1] => [3,2,5,4,7,6,10,9,11,8,12,1] => 01010100111
[3,2,5,4,8,7,9,6,10,1,12,11] => [10,3,2,5,4,9,8,7,6,1,12,11] => [3,2,5,4,8,7,9,6,10,1,12,11] => 01010011101
[3,2,5,4,8,7,9,6,11,10,12,1] => [12,3,2,5,4,9,8,7,6,11,10,1] => [3,2,5,4,8,7,9,6,11,10,12,1] => 01010011011
[3,2,5,4,8,7,10,9,11,6,12,1] => [12,3,2,5,4,11,8,7,10,9,6,1] => [3,2,5,4,8,7,10,9,11,6,12,1] => 01010010111
[3,2,5,4,9,8,10,7,11,6,12,1] => [12,3,2,5,4,11,10,9,8,7,6,1] => [3,2,5,4,9,8,10,7,11,6,12,1] => 01010001111
[3,2,6,5,7,4,8,1,10,9,12,11] => [8,3,2,7,6,5,4,1,10,9,12,11] => [3,2,6,5,7,4,8,1,10,9,12,11] => 01001110101
[3,2,6,5,7,4,8,1,11,10,12,9] => [8,3,2,7,6,5,4,1,12,11,10,9] => [3,2,6,5,7,4,8,1,11,10,12,9] => 01001110011
[3,2,6,5,7,4,9,8,10,1,12,11] => [10,3,2,7,6,5,4,9,8,1,12,11] => [3,2,6,5,7,4,9,8,10,1,12,11] => 01001101101
[3,2,6,5,7,4,9,8,11,10,12,1] => [12,3,2,7,6,5,4,9,8,11,10,1] => [3,2,6,5,7,4,9,8,11,10,12,1] => 01001101011
[3,2,6,5,7,4,10,9,11,8,12,1] => [12,3,2,7,6,5,4,11,10,9,8,1] => [3,2,6,5,7,4,10,9,11,8,12,1] => 01001100111
[3,2,6,5,8,7,9,4,10,1,12,11] => [10,3,2,9,6,5,8,7,4,1,12,11] => [3,2,6,5,8,7,9,4,10,1,12,11] => 01001011101
[3,2,6,5,8,7,9,4,11,10,12,1] => [12,3,2,9,6,5,8,7,4,11,10,1] => [3,2,6,5,8,7,9,4,11,10,12,1] => 01001011011
[3,2,6,5,8,7,10,9,11,4,12,1] => [12,3,2,11,6,5,8,7,10,9,4,1] => [3,2,6,5,8,7,10,9,11,4,12,1] => 01001010111
[3,2,6,5,9,8,10,7,11,4,12,1] => [12,3,2,11,6,5,10,9,8,7,4,1] => [3,2,6,5,9,8,10,7,11,4,12,1] => 01001001111
[3,2,7,6,8,5,9,4,10,1,12,11] => [10,3,2,9,8,7,6,5,4,1,12,11] => [3,2,7,6,8,5,9,4,10,1,12,11] => 01000111101
[3,2,7,6,8,5,9,4,11,10,12,1] => [12,3,2,9,8,7,6,5,4,11,10,1] => [3,2,7,6,8,5,9,4,11,10,12,1] => 01000111011
[3,2,7,6,8,5,10,9,11,4,12,1] => [12,3,2,11,8,7,6,5,10,9,4,1] => [3,2,7,6,8,5,10,9,11,4,12,1] => 01000110111
[3,2,7,6,9,8,10,5,11,4,12,1] => [12,3,2,11,10,7,6,9,8,5,4,1] => [3,2,7,6,9,8,10,5,11,4,12,1] => 01000101111
[3,2,8,7,9,6,10,5,11,4,12,1] => [12,3,2,11,10,9,8,7,6,5,4,1] => [3,2,8,7,9,6,10,5,11,4,12,1] => 01000011111
[4,3,5,2,6,1,8,7,10,9,12,11] => [6,5,4,3,2,1,8,7,10,9,12,11] => [4,3,5,2,6,1,8,7,10,9,12,11] => 00111010101
[4,3,5,2,6,1,8,7,11,10,12,9] => [6,5,4,3,2,1,8,7,12,11,10,9] => [4,3,5,2,6,1,8,7,11,10,12,9] => 00111010011
[4,3,5,2,6,1,9,8,10,7,12,11] => [6,5,4,3,2,1,10,9,8,7,12,11] => [4,3,5,2,6,1,9,8,10,7,12,11] => 00111001101
[4,3,5,2,6,1,9,8,11,10,12,7] => [6,5,4,3,2,1,12,9,8,11,10,7] => [4,3,5,2,6,1,9,8,11,10,12,7] => 00111001011
[4,3,5,2,6,1,10,9,11,8,12,7] => [6,5,4,3,2,1,12,11,10,9,8,7] => [4,3,5,2,6,1,10,9,11,8,12,7] => 00111000111
[4,3,5,2,7,6,8,1,10,9,12,11] => [8,5,4,3,2,7,6,1,10,9,12,11] => [4,3,5,2,7,6,8,1,10,9,12,11] => 00110110101
[4,3,5,2,7,6,8,1,11,10,12,9] => [8,5,4,3,2,7,6,1,12,11,10,9] => [4,3,5,2,7,6,8,1,11,10,12,9] => 00110110011
[4,3,5,2,7,6,9,8,10,1,12,11] => [10,5,4,3,2,7,6,9,8,1,12,11] => [4,3,5,2,7,6,9,8,10,1,12,11] => 00110101101
[4,3,5,2,7,6,9,8,11,10,12,1] => [12,5,4,3,2,7,6,9,8,11,10,1] => [4,3,5,2,7,6,9,8,11,10,12,1] => 00110101011
[4,3,5,2,7,6,10,9,11,8,12,1] => [12,5,4,3,2,7,6,11,10,9,8,1] => [4,3,5,2,7,6,10,9,11,8,12,1] => 00110100111
[4,3,5,2,8,7,9,6,10,1,12,11] => [10,5,4,3,2,9,8,7,6,1,12,11] => [4,3,5,2,8,7,9,6,10,1,12,11] => 00110011101
[4,3,5,2,8,7,9,6,11,10,12,1] => [12,5,4,3,2,9,8,7,6,11,10,1] => [4,3,5,2,8,7,9,6,11,10,12,1] => 00110011011
[4,3,5,2,8,7,10,9,11,6,12,1] => [12,5,4,3,2,11,8,7,10,9,6,1] => [4,3,5,2,8,7,10,9,11,6,12,1] => 00110010111
[4,3,5,2,9,8,10,7,11,6,12,1] => [12,5,4,3,2,11,10,9,8,7,6,1] => [4,3,5,2,9,8,10,7,11,6,12,1] => 00110001111
[4,3,6,5,7,2,8,1,10,9,12,11] => [8,7,4,3,6,5,2,1,10,9,12,11] => [4,3,6,5,7,2,8,1,10,9,12,11] => 00101110101
[4,3,6,5,7,2,8,1,11,10,12,9] => [8,7,4,3,6,5,2,1,12,11,10,9] => [4,3,6,5,7,2,8,1,11,10,12,9] => 00101110011
[4,3,6,5,7,2,9,8,10,1,12,11] => [10,7,4,3,6,5,2,9,8,1,12,11] => [4,3,6,5,7,2,9,8,10,1,12,11] => 00101101101
[4,3,6,5,7,2,9,8,11,10,12,1] => [12,7,4,3,6,5,2,9,8,11,10,1] => [4,3,6,5,7,2,9,8,11,10,12,1] => 00101101011
[4,3,6,5,7,2,10,9,11,8,12,1] => [12,7,4,3,6,5,2,11,10,9,8,1] => [4,3,6,5,7,2,10,9,11,8,12,1] => 00101100111
[4,3,6,5,8,7,9,2,10,1,12,11] => [10,9,4,3,6,5,8,7,2,1,12,11] => [4,3,6,5,8,7,9,2,10,1,12,11] => 00101011101
[4,3,6,5,8,7,9,2,11,10,12,1] => [12,9,4,3,6,5,8,7,2,11,10,1] => [4,3,6,5,8,7,9,2,11,10,12,1] => 00101011011
[4,3,6,5,8,7,10,9,11,2,12,1] => [12,11,4,3,6,5,8,7,10,9,2,1] => [4,3,6,5,8,7,10,9,11,2,12,1] => 00101010111
[4,3,6,5,9,8,10,7,11,2,12,1] => [12,11,4,3,6,5,10,9,8,7,2,1] => [4,3,6,5,9,8,10,7,11,2,12,1] => 00101001111
[4,3,7,6,8,5,9,2,10,1,12,11] => [10,9,4,3,8,7,6,5,2,1,12,11] => [4,3,7,6,8,5,9,2,10,1,12,11] => 00100111101
[4,3,7,6,8,5,9,2,11,10,12,1] => [12,9,4,3,8,7,6,5,2,11,10,1] => [4,3,7,6,8,5,9,2,11,10,12,1] => 00100111011
[4,3,7,6,8,5,10,9,11,2,12,1] => [12,11,4,3,8,7,6,5,10,9,2,1] => [4,3,7,6,8,5,10,9,11,2,12,1] => 00100110111
[4,3,7,6,9,8,10,5,11,2,12,1] => [12,11,4,3,10,7,6,9,8,5,2,1] => [4,3,7,6,9,8,10,5,11,2,12,1] => 00100101111
[4,3,8,7,9,6,10,5,11,2,12,1] => [12,11,4,3,10,9,8,7,6,5,2,1] => [4,3,8,7,9,6,10,5,11,2,12,1] => 00100011111
[5,4,6,3,7,2,8,1,10,9,12,11] => [8,7,6,5,4,3,2,1,10,9,12,11] => [5,4,6,3,7,2,8,1,10,9,12,11] => 00011110101
[5,4,6,3,7,2,8,1,11,10,12,9] => [8,7,6,5,4,3,2,1,12,11,10,9] => [5,4,6,3,7,2,8,1,11,10,12,9] => 00011110011
[5,4,6,3,7,2,9,8,10,1,12,11] => [10,7,6,5,4,3,2,9,8,1,12,11] => [5,4,6,3,7,2,9,8,10,1,12,11] => 00011101101
[5,4,6,3,7,2,9,8,11,10,12,1] => [12,7,6,5,4,3,2,9,8,11,10,1] => [5,4,6,3,7,2,9,8,11,10,12,1] => 00011101011
[5,4,6,3,7,2,10,9,11,8,12,1] => [12,7,6,5,4,3,2,11,10,9,8,1] => [5,4,6,3,7,2,10,9,11,8,12,1] => 00011100111
[5,4,6,3,8,7,9,2,10,1,12,11] => [10,9,6,5,4,3,8,7,2,1,12,11] => [5,4,6,3,8,7,9,2,10,1,12,11] => 00011011101
[5,4,6,3,8,7,9,2,11,10,12,1] => [12,9,6,5,4,3,8,7,2,11,10,1] => [5,4,6,3,8,7,9,2,11,10,12,1] => 00011011011
[5,4,6,3,8,7,10,9,11,2,12,1] => [12,11,6,5,4,3,8,7,10,9,2,1] => [5,4,6,3,8,7,10,9,11,2,12,1] => 00011010111
[5,4,6,3,9,8,10,7,11,2,12,1] => [12,11,6,5,4,3,10,9,8,7,2,1] => [5,4,6,3,9,8,10,7,11,2,12,1] => 00011001111
[5,4,7,6,8,3,9,2,10,1,12,11] => [10,9,8,5,4,7,6,3,2,1,12,11] => [5,4,7,6,8,3,9,2,10,1,12,11] => 00010111101
[5,4,7,6,8,3,9,2,11,10,12,1] => [12,9,8,5,4,7,6,3,2,11,10,1] => [5,4,7,6,8,3,9,2,11,10,12,1] => 00010111011
[5,4,7,6,8,3,10,9,11,2,12,1] => [12,11,8,5,4,7,6,3,10,9,2,1] => [5,4,7,6,8,3,10,9,11,2,12,1] => 00010110111
[5,4,7,6,9,8,10,3,11,2,12,1] => [12,11,10,5,4,7,6,9,8,3,2,1] => [5,4,7,6,9,8,10,3,11,2,12,1] => 00010101111
[5,4,8,7,9,6,10,3,11,2,12,1] => [12,11,10,5,4,9,8,7,6,3,2,1] => [5,4,8,7,9,6,10,3,11,2,12,1] => 00010011111
[6,5,7,4,8,3,9,2,10,1,12,11] => [10,9,8,7,6,5,4,3,2,1,12,11] => [6,5,7,4,8,3,9,2,10,1,12,11] => 00001111101
[6,5,7,4,8,3,9,2,11,10,12,1] => [12,9,8,7,6,5,4,3,2,11,10,1] => [6,5,7,4,8,3,9,2,11,10,12,1] => 00001111011
[6,5,7,4,8,3,10,9,11,2,12,1] => [12,11,8,7,6,5,4,3,10,9,2,1] => [6,5,7,4,8,3,10,9,11,2,12,1] => 00001110111
[6,5,7,4,9,8,10,3,11,2,12,1] => [12,11,10,7,6,5,4,9,8,3,2,1] => [6,5,7,4,9,8,10,3,11,2,12,1] => 00001101111
[6,5,8,7,9,4,10,3,11,2,12,1] => [12,11,10,9,6,5,8,7,4,3,2,1] => [6,5,8,7,9,4,10,3,11,2,12,1] => 00001011111
[7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => [7,6,8,5,9,4,10,3,11,2,12,1] => 00000111111
[1,8,2,6,5,3,4,7] => [1,8,5,3,6,2,4,7] => [1,6,5,3,8,2,4,7] => 0001101
[2,7,8,4,1,3,5,6] => [4,2,1,8,3,5,7,6] => [2,7,8,4,1,3,5,6] => 0010001
[8,1,5,6,4,2,7,3] => [8,4,6,7,1,5,3,2] => [7,1,5,6,4,3,8,2] => 0010111
[2,7,3,5,8,4,1,6] => [4,2,8,7,1,3,5,6] => [2,7,1,8,4,3,5,6] => 0010011
[3,7,6,2,5,8,4,1] => [4,8,3,6,1,7,5,2] => [3,7,6,1,5,8,4,2] => 0010111
[7,4,6,8,2,3,5,1] => [5,8,2,7,3,4,6,1] => [7,2,3,6,8,4,5,1] => 0001011
[5,2,1,4,7,3,6,8] => [2,5,7,1,4,3,6,8] => [7,2,1,4,5,3,6,8] => 1001010
[2,7,5,4,1,3,6,8] => [4,2,1,5,7,3,6,8] => [2,7,5,4,1,3,6,8] => 0011010
[6,8,7,5,2,1,4,3] => [2,5,4,1,7,6,8,3] => [4,2,1,6,8,7,5,3] => 1011011
[7,8,2,6,3,1,4,5] => [3,6,8,2,4,1,7,5] => [7,8,2,4,6,3,1,5] => 0100101
[7,8,6,4,1,5,2,3] => [4,6,1,5,2,8,7,3] => [5,1,7,8,6,4,2,3] => 0011101
[8,7,2,6,4,3,1,5] => [3,4,6,7,1,2,8,5] => [8,7,1,6,4,3,2,5] => 0110111
[1,5,8,7,6,3,4,2] => [1,4,6,3,5,7,8,2] => [1,5,8,7,6,3,4,2] => 0010111
[1,4,7,8,5,6,3,2] => [1,3,6,4,8,5,7,2] => [1,4,7,8,5,6,3,2] => 0100101
[1,6,4,8,5,7,3,2] => [1,3,7,6,8,4,5,2] => [1,8,4,6,5,7,3,2] => 0100111
[1,7,3,2,6,8,5,4] => [1,3,7,5,8,2,6,4] => [1,8,5,3,2,6,7,4] => 0101011
[1,6,8,5,4,2,3,7] => [1,4,2,5,8,6,3,7] => [1,6,8,5,4,2,3,7] => 0011001
[1,3,6,7,2,8,5,4] => [1,7,3,5,8,6,2,4] => [1,3,6,8,5,2,7,4] => 0001011
[1,3,8,5,2,4,7,6] => [1,5,3,2,8,7,4,6] => [1,3,7,5,2,4,8,6] => 0001011
[2,1,8,3,4,5,6,7,9] => [2,1,8,3,4,5,6,7,9] => [2,1,8,3,4,5,6,7,9] => 10000010
[6,5,3,7,4,1,8,2] => [4,7,8,5,6,1,2,3] => [6,5,1,8,2,7,4,3] => 0011111
[3,1,6,4,2,5,8,7] => [3,4,1,6,2,5,8,7] => [6,4,1,3,2,5,8,7] => 0110101
[5,7,8,2,4,6,1,3] => [6,8,1,2,5,4,7,3] => [5,7,8,1,4,6,2,3] => 0000101
[4,8,1,2,6,5,7,3] => [8,1,7,4,6,2,5,3] => [4,6,1,2,7,5,8,3] => 0000111
[2,8,1,6,5,3,7,4] => [8,2,5,6,7,1,4,3] => [2,7,1,6,5,4,8,3] => 0001111
[2,1,5,7,6,3,8,4] => [2,1,6,7,5,8,4,3] => [2,1,5,8,4,7,6,3] => 1000111
[1,8,5,2,3,4,7,6] => [1,5,2,3,8,7,4,6] => [1,7,5,2,3,4,8,6] => 0001011
[1,5,8,2,3,4,7,6] => [1,8,2,3,5,7,4,6] => [1,5,7,2,3,4,8,6] => 0000011
[1,2,7,8,4,5,6,3] => [1,2,6,8,4,5,7,3] => [1,2,7,8,4,5,6,3] => 0000101
[2,3,6,1,7,5,8,4] => [6,2,3,8,7,1,5,4] => [2,3,7,1,8,5,6,4] => 0000111
[4,6,5,2,1,7,8,3] => [2,5,6,4,8,3,7,1] => [4,7,8,3,6,5,2,1] => 1001101
[4,6,1,7,5,8,3,2] => [6,3,8,4,7,1,5,2] => [4,7,3,1,8,5,6,2] => 0100111
[3,5,6,2,1,4,7,8] => [2,6,3,1,5,4,7,8] => [3,5,6,2,1,4,7,8] => 1000100
[4,2,5,7,6,8,3,1] => [3,8,4,1,5,7,6,2] => [4,1,5,7,6,8,3,2] => 0110011
[4,3,6,5,1,7,8,2] => [5,6,4,3,8,2,7,1] => [4,3,7,8,2,6,5,1] => 0011101
[4,6,5,3,1,7,8,2] => [3,5,6,4,8,1,7,2] => [4,7,8,1,6,5,3,2] => 0101101
[1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => 000001000
[1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => 000100000
[1,2,3,5,4,7,6,9,8,10] => [1,2,3,5,4,7,6,9,8,10] => [1,2,3,5,4,7,6,9,8,10] => 000101010
[5,8,1,4,2,3,6,7] => [8,4,2,1,5,3,6,7] => [4,2,5,8,1,3,6,7] => 0010001
[4,5,8,2,3,1,6,7] => [3,8,2,4,5,1,6,7] => [4,5,8,2,3,1,6,7] => 0100001
[3,5,1,8,6,4,7,2] => [5,7,3,6,1,8,4,2] => [3,8,6,1,7,4,5,2] => 0001111
[1,2,5,6,8,3,7,4] => [1,2,8,7,5,6,3,4] => [1,2,5,6,7,3,8,4] => 0000011
[1,2,5,6,8,4,7,3] => [1,2,7,8,5,6,4,3] => [1,2,5,6,8,4,7,3] => 0000011
[1,5,6,8,4,7,2,3] => [1,7,2,8,5,6,4,3] => [1,5,6,8,4,7,2,3] => 0000011
[4,3,5,1,8,6,7,2] => [5,7,4,3,1,8,6,2] => [4,3,8,6,7,1,5,2] => 0011011
[1,3,5,6,8,4,7,2] => [1,7,3,8,5,6,4,2] => [1,3,5,6,8,4,7,2] => 0000011
[6,5,1,2,4,8,7,3] => [5,1,6,3,7,4,8,2] => [8,7,3,4,6,5,1,2] => 0001111
[5,8,7,2,1,3,6,4] => [2,7,1,6,5,3,8,4] => [5,6,2,1,3,8,7,4] => 1000111
[5,1,7,2,8,6,3,4] => [5,7,6,3,1,8,2,4] => [8,6,3,7,1,5,2,4] => 0001111
[5,8,6,3,2,1,4,7] => [2,3,6,1,5,8,4,7] => [5,8,6,3,2,1,4,7] => 1100101
[8,7,1,6,3,5,4,2] => [7,4,5,6,2,1,8,3] => [6,2,5,4,1,8,7,3] => 0011111
[3,2,8,1,7,5,6,4] => [8,3,2,6,7,5,1,4] => [3,2,7,5,6,1,8,4] => 0100111
[7,4,3,1,8,5,2,6] => [3,4,7,5,8,2,1,6] => [8,5,2,7,4,3,1,6] => 0111011
[7,8,1,6,3,4,5,2] => [8,5,6,3,4,1,7,2] => [6,3,4,5,1,7,8,2] => 0001101
[6,8,1,7,3,4,2,5] => [8,4,7,3,2,6,1,5] => [6,7,3,4,2,8,1,5] => 0010011
[3,4,2,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => 10100000
[4,3,1,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => 01100000
[3,4,2,1,5,6,7,8,9,10] => [2,4,3,1,5,6,7,8,9,10] => [3,4,2,1,5,6,7,8,9,10] => 101000000
[3,4,2,5,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [3,4,2,5,1,6,7,8,9] => 00110000
[4,3,1,2,5,6,7,8,9,10] => [3,1,4,2,5,6,7,8,9,10] => [4,3,1,2,5,6,7,8,9,10] => 011000000
[3,1,2,4,5,6,7,8,9,10,11] => [3,1,2,4,5,6,7,8,9,10,11] => [3,1,2,4,5,6,7,8,9,10,11] => 0100000000
[4,5,6,3,8,1,7,2] => [8,7,6,4,5,3,1,2] => [4,5,6,3,7,1,8,2] => 0000111
[3,2,5,8,4,7,6,1] => [6,3,2,7,5,8,1,4] => [3,2,5,8,1,7,6,4] => 0100111
[1,3,5,8,4,7,6,2] => [1,6,3,7,5,8,2,4] => [1,3,5,8,2,7,6,4] => 0000111
[1,4,2,6,7,5,8,3] => [1,4,8,2,7,6,5,3] => [1,6,7,5,8,2,4,3] => 0010011
[2,8,3,7,5,1,4,6] => [5,2,7,3,8,4,1,6] => [2,8,3,4,7,5,1,6] => 0001011
[4,8,3,6,7,2,1,5] => [2,7,8,4,1,3,6,5] => [4,8,2,1,6,7,3,5] => 1000011
[3,8,2,6,5,7,4,1] => [4,7,3,8,6,1,5,2] => [3,6,1,8,5,7,4,2] => 0010111
[3,1,7,2,5,8,6,4] => [3,7,1,6,2,8,5,4] => [8,6,1,3,2,5,7,4] => 0100111
[2,8,7,6,3,5,1,4] => [5,2,6,1,3,7,8,4] => [2,8,7,6,1,5,3,4] => 0001111
[3,5,6,2,8,1,7,4] => [8,6,3,7,5,2,1,4] => [3,5,7,2,6,1,8,4] => 0000111
[6,2,5,8,4,7,3,1] => [3,7,6,8,1,5,4,2] => [8,1,5,6,4,7,3,2] => 0100111
[7,2,8,5,4,3,6,1] => [6,7,4,5,8,3,2,1] => [8,5,4,3,7,2,6,1] => 0011111
[7,1,6,8,2,5,3,4] => [7,8,5,3,2,1,6,4] => [5,3,8,2,6,7,1,4] => 0001011
[3,6,5,7,4,1,8,2] => [4,7,3,8,6,5,2,1] => [3,6,5,8,2,7,4,1] => 0010111
[3,6,7,5,8,4,1,2] => [4,1,3,8,7,6,5,2] => [3,6,7,5,8,4,1,2] => 0010011
[2,5,3,7,8,6,4,1] => [4,2,6,5,1,8,7,3] => [2,5,1,7,8,6,4,3] => 0011101
[7,2,8,4,5,6,3,1] => [3,6,7,8,4,5,1,2] => [8,4,5,7,1,6,3,2] => 0100111
[5,1,4,7,8,6,3,2] => [5,3,6,1,4,8,7,2] => [7,8,6,3,1,4,5,2] => 0101101
[5,7,8,6,4,1,3,2] => [4,3,1,6,5,8,7,2] => [3,1,5,7,8,6,4,2] => 0110101
[6,8,7,3,2,4,5,1] => [5,3,7,2,4,6,8,1] => [6,8,7,3,2,4,5,1] => 0101011
[2,7,4,1,3,8,5,6] => [4,2,1,7,8,5,3,6] => [2,8,5,7,4,1,3,6] => 0010011
[7,5,8,6,4,1,3,2] => [4,3,1,6,8,7,2,5] => [3,1,7,4,2,8,6,5] => 0110111
[2,7,6,3,8,5,1,4] => [5,2,8,3,6,7,1,4] => [2,7,6,3,8,5,1,4] => 0001111
[2,3,1,8,4,6,5,7] => [3,2,1,8,6,4,5,7] => [2,3,1,6,4,8,5,7] => 0100101
[2,3,1,7,6,8,4,5] => [3,2,1,8,4,7,6,5] => [2,3,1,7,6,8,4,5] => 0100011
[2,3,4,5,6,10,8,9,1,7] => [9,2,3,4,5,6,1,10,8,7] => [2,3,4,5,6,10,8,9,1,7] => 000000011
[2,3,4,5,6,10,1,7,8,9] => [10,2,3,4,5,6,1,7,8,9] => [2,3,4,5,6,10,1,7,8,9] => 000000001
[2,3,4,5,10,1,6,7,8,9] => [10,2,3,4,5,1,6,7,8,9] => [2,3,4,5,10,1,6,7,8,9] => 000000001
[2,3,4,10,1,5,6,7,8,9] => [10,2,3,4,1,5,6,7,8,9] => [2,3,4,10,1,5,6,7,8,9] => 000000001
[5,8,7,2,6,4,1,3] => [4,6,2,7,5,1,8,3] => [5,8,7,2,6,4,1,3] => 0010111
[6,8,5,4,1,7,3,2] => [4,3,5,8,7,6,1,2] => [6,7,3,1,8,5,4,2] => 0111011
[7,6,2,8,5,4,1,3] => [4,5,1,8,6,7,2,3] => [7,6,1,8,5,4,2,3] => 0011111
[6,5,4,2,1,8,7,3] => [2,4,5,6,7,1,8,3] => [8,7,2,1,6,5,4,3] => 1011111
[6,5,4,2,8,1,7,3] => [8,4,5,6,7,2,1,3] => [7,2,6,5,4,1,8,3] => 0011111
[2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => 10000010
[2,6,8,7,1,3,5,4] => [7,2,1,5,3,6,8,4] => [2,5,1,3,6,8,7,4] => 0001011
[5,3,8,7,6,2,1,4] => [2,6,5,1,3,7,8,4] => [5,2,1,8,7,6,3,4] => 1001111
[7,6,2,5,3,1,4,8] => [3,5,6,2,1,7,4,8] => [7,6,2,5,3,1,4,8] => 0101110
[4,3,1,7,6,2,5,8] => [3,4,6,2,1,7,5,8] => [7,6,2,4,3,1,5,8] => 0110110
[4,5,3,1,2,8,6,7] => [3,1,5,4,2,8,6,7] => [4,5,3,1,2,8,6,7] => 0101001
[2,4,5,3,1,8,6,7] => [3,2,5,4,1,8,6,7] => [2,4,5,3,1,8,6,7] => 0101001
[5,7,6,2,3,1,4,8] => [3,6,2,1,5,7,4,8] => [5,7,6,2,3,1,4,8] => 0100110
[4,1,3,7,5,2,6,8] => [4,5,1,3,7,2,6,8] => [7,5,1,3,4,2,6,8] => 0011010
[4,1,6,3,2,7,5,8] => [4,3,6,1,7,2,5,8] => [7,3,1,4,2,6,5,8] => 0110110
[7,5,4,1,3,2,6,8] => [4,3,1,5,7,2,6,8] => [3,1,7,5,4,2,6,8] => 0111010
[2,4,8,5,6,3,1,7] => [3,2,6,4,8,5,1,7] => [2,4,8,5,6,3,1,7] => 0100101
[2,5,7,4,1,3,6,8] => [4,2,1,7,5,3,6,8] => [2,5,7,4,1,3,6,8] => 0010010
[2,6,8,4,5,3,1,7] => [3,2,5,8,4,6,1,7] => [2,6,8,4,5,3,1,7] => 0101001
[4,5,1,6,3,2,7,8] => [5,3,6,4,1,2,7,8] => [4,6,3,1,5,2,7,8] => 0101100
[5,1,6,3,2,4,7,8] => [5,3,6,2,1,4,7,8] => [6,3,2,5,1,4,7,8] => 0101100
[4,2,5,1,6,3,7,8] => [5,4,6,2,1,3,7,8] => [6,2,4,1,5,3,7,8] => 0011100
[5,1,6,2,4,3,7,8] => [5,6,4,2,1,3,7,8] => [4,2,6,1,5,3,7,8] => 0011100
[5,3,4,8,7,6,2,1] => [2,6,5,3,4,7,8,1] => [5,3,4,8,7,6,2,1] => 1001111
[8,3,1,6,7,5,4,2] => [3,8,4,5,7,2,6,1] => [7,5,4,2,6,8,3,1] => 0111011
[8,4,6,5,7,2,3,1] => [3,7,2,8,6,4,5,1] => [6,4,8,5,7,2,3,1] => 0100111
[1,8,2,6,7,4,5,3] => [1,8,5,7,4,2,6,3] => [1,7,4,5,2,6,8,3] => 0001011
[8,5,7,2,4,3,6,1] => [6,7,4,2,8,3,5,1] => [4,2,8,3,7,5,6,1] => 0010111
[1,2,8,3,4,7,6,5] => [1,2,8,3,6,7,4,5] => [1,2,7,6,3,4,8,5] => 0000111
[6,8,5,2,7,1,3,4] => [7,5,1,3,8,6,2,4] => [6,8,5,1,3,7,2,4] => 0001011
[1,5,7,2,6,8,4,3] => [1,7,4,8,5,2,6,3] => [1,5,8,4,2,6,7,3] => 0010011
[7,6,4,5,2,1,8,3] => [2,5,8,6,4,7,1,3] => [7,6,4,8,2,1,5,3] => 1001111
[8,2,4,7,6,3,1,5] => [3,6,7,2,1,8,4,5] => [8,2,7,6,3,1,4,5] => 0100111
[8,7,5,1,4,6,3,2] => [5,3,7,2,6,4,8,1] => [6,3,2,4,8,7,5,1] => 0101111
[7,1,8,5,3,4,2,6] => [7,4,5,3,8,2,1,6] => [8,5,3,4,2,7,1,6] => 0011011
[5,2,7,4,3,8,6,1] => [6,5,4,8,2,7,1,3] => [7,4,2,5,1,8,6,3] => 0011111
[2,7,3,4,8,5,6,1] => [6,2,7,3,8,5,4,1] => [2,8,5,7,3,4,6,1] => 0000111
[2,7,6,8,3,5,4,1] => [4,2,5,8,1,7,6,3] => [2,7,6,8,1,5,4,3] => 0011011
[1,6,3,2,7,5,8,4] => [1,3,6,8,7,2,5,4] => [1,7,3,2,8,5,6,4] => 0100111
[7,3,5,2,6,8,1,4] => [8,5,7,1,3,2,6,4] => [7,1,5,3,6,8,2,4] => 0001011
[1,8,7,2,5,4,3,6] => [1,7,4,5,2,3,8,6] => [1,5,4,2,8,7,3,6] => 0011011
[1,5,4,2,7,3,6,8] => [1,4,5,7,3,2,6,8] => [1,7,3,5,4,2,6,8] => 0011010
[1,5,4,2,8,7,3,6] => [1,4,5,7,3,2,8,6] => [1,8,7,3,5,4,2,6] => 0011011
[1,6,8,3,5,2,4,7] => [1,5,8,2,3,6,4,7] => [1,6,8,2,5,3,4,7] => 0001001
[1,7,6,2,3,5,8,4] => [1,6,2,7,4,8,5,3] => [1,8,4,5,7,6,2,3] => 0000111
[1,2,8,3,6,5,4,7] => [1,2,8,5,6,3,4,7] => [1,2,6,5,3,8,4,7] => 0001101
[1,3,8,6,5,2,4,7] => [1,5,3,2,6,8,4,7] => [1,3,8,6,5,2,4,7] => 0001101
[1,4,7,3,2,8,6,5] => [1,3,7,4,6,8,2,5] => [1,4,8,6,3,2,7,5] => 0100111
[1,6,8,4,3,2,5,7] => [1,3,4,8,2,6,5,7] => [1,6,8,4,3,2,5,7] => 0110001
[1,7,5,3,2,6,4,8] => [1,3,5,7,6,4,2,8] => [1,6,4,7,5,3,2,8] => 0101110
[1,7,3,2,8,4,6,5] => [1,3,7,8,6,4,2,5] => [1,6,4,8,3,2,7,5] => 0100111
[1,6,5,2,8,4,7,3] => [1,5,6,7,8,3,2,4] => [1,8,3,7,2,6,5,4] => 0001111
[1,8,3,7,2,4,6,5] => [1,7,8,2,6,4,3,5] => [1,6,2,4,8,3,7,5] => 0000111
[5,4,2,8,7,6,1,3] => [6,4,1,5,2,7,8,3] => [5,4,1,8,7,6,2,3] => 0011111
[8,6,3,2,5,7,4,1] => [4,3,7,6,1,8,5,2] => [8,6,3,1,5,7,4,2] => 0110111
[6,8,2,5,1,7,4,3] => [5,8,4,7,2,6,1,3] => [6,7,4,2,8,1,5,3] => 0011011
[6,7,5,2,8,1,3,4] => [8,5,1,3,7,6,2,4] => [6,7,5,1,3,8,2,4] => 0001011
[5,8,1,2,6,7,4,3] => [8,1,4,7,5,2,6,3] => [5,7,4,1,2,6,8,3] => 0010011
[6,5,8,2,7,4,1,3] => [4,7,2,8,6,5,1,3] => [6,5,8,2,7,4,1,3] => 0010111
[6,2,1,7,5,8,4,3] => [2,6,4,8,7,1,5,3] => [7,4,2,1,8,5,6,3] => 1010111
[3,5,6,2,8,7,1,4] => [7,6,3,1,5,2,8,4] => [3,5,6,1,8,7,2,4] => 0000111
[5,2,3,8,6,1,7,4] => [6,5,2,8,3,7,4,1] => [7,2,3,5,4,8,6,1] => 0001111
[4,2,6,7,8,1,3,5] => [8,4,1,2,3,6,7,5] => [4,1,6,7,8,2,3,5] => 0010001
[5,1,8,3,6,2,7,4] => [5,6,8,7,1,3,2,4] => [7,1,8,3,6,2,5,4] => 0001111
[5,1,7,2,6,4,8,3] => [5,7,8,6,1,2,4,3] => [6,1,8,2,7,4,5,3] => 0001111
[4,7,6,1,3,5,8,2] => [6,7,2,4,3,8,5,1] => [4,8,2,3,5,7,6,1] => 0000111
[4,1,7,6,5,8,2,3] => [4,8,2,1,6,7,5,3] => [7,6,5,8,2,4,1,3] => 0010111
[8,2,7,5,6,3,1,4] => [3,6,8,2,7,5,1,4] => [7,5,8,2,6,3,1,4] => 0100111
[4,2,3,6,7,8,1,5] => [8,4,2,3,1,6,7,5] => [4,2,3,6,7,8,1,5] => 0010001
[5,4,1,7,2,8,3,6] => [4,5,7,8,2,1,3,6] => [8,2,7,1,5,4,3,6] => 0011011
[6,8,5,2,7,3,1,4] => [3,7,5,2,8,6,1,4] => [6,8,5,2,7,3,1,4] => 0101011
[5,2,1,3,7,8,4,6] => [2,5,1,8,3,4,7,6] => [7,8,2,1,3,5,4,6] => 1001001
[8,4,2,6,1,7,3,5] => [6,4,8,7,2,3,1,5] => [7,2,8,4,3,6,1,5] => 0010111
[8,5,1,7,6,2,4,3] => [5,8,4,1,6,7,2,3] => [4,1,7,6,2,8,5,3] => 0011111
[8,2,1,6,3,7,4,5] => [2,8,6,7,4,1,3,5] => [7,4,6,2,1,8,3,5] => 1000111
[5,1,8,6,7,4,2,3] => [5,4,2,7,1,8,6,3] => [8,6,7,4,2,5,1,3] => 0011011
[6,5,1,3,7,8,2,4] => [5,6,2,1,8,3,7,4] => [7,8,2,6,5,1,3,4] => 0001101
[4,1,2,6,8,7,3,5] => [4,1,7,2,3,6,8,5] => [6,8,7,1,2,4,3,5] => 0010011
[5,1,2,7,8,6,3,4] => [5,1,6,3,2,8,7,4] => [7,8,6,3,5,1,2,4] => 0001101
[7,6,2,3,5,1,8,4] => [5,6,2,7,4,8,1,3] => [8,4,7,6,2,5,1,3] => 0001111
[6,1,2,4,3,7,8,5] => [6,1,4,2,8,3,7,5] => [4,1,2,7,8,3,6,5] => 0010101
[7,1,2,4,6,3,8,5] => [7,1,6,2,8,4,3,5] => [8,1,2,4,6,3,7,5] => 0000111
[7,5,6,1,2,4,8,3] => [6,1,8,2,7,5,4,3] => [7,5,8,1,2,4,6,3] => 0000111
[6,1,4,8,7,2,3,5] => [6,7,2,1,3,4,8,5] => [8,7,2,6,1,3,4,5] => 0000111
[1,6,7,5,8,3,4,2] => [1,4,8,3,7,6,5,2] => [1,6,7,5,8,3,4,2] => 0010011
[8,3,1,2,4,6,5,7] => [3,1,8,2,6,4,5,7] => [6,3,1,2,4,8,5,7] => 0100101
[8,3,1,2,4,5,7,6] => [3,1,8,2,4,7,5,6] => [7,3,1,2,4,5,8,6] => 0100011
[6,3,1,2,4,7,5,8] => [3,1,6,2,7,4,5,8] => [7,3,1,2,4,6,5,8] => 0100110
[6,7,8,5,1,2,4,3] => [5,1,4,2,8,6,7,3] => [4,1,2,6,7,8,5,3] => 0011001
[4,3,8,5,6,2,7,1] => [7,6,4,3,8,5,2,1] => [4,3,8,5,6,2,7,1] => 0010111
[7,6,8,1,5,3,4,2] => [8,4,5,3,1,7,6,2] => [5,3,4,1,7,6,8,2] => 0011011
[7,4,6,1,5,3,8,2] => [6,8,5,7,1,4,3,2] => [7,1,5,4,8,3,6,2] => 0001111
[6,3,8,1,7,2,5,4] => [8,7,6,5,2,3,1,4] => [5,2,6,3,7,1,8,4] => 0001111
[6,1,5,4,8,2,7,3] => [6,8,7,5,1,4,2,3] => [5,1,7,4,8,2,6,3] => 0001111
[6,1,8,5,7,3,4,2] => [6,4,7,3,8,1,5,2] => [8,3,4,1,7,5,6,2] => 0010111
[6,2,5,4,7,1,8,3] => [7,6,8,5,2,4,1,3] => [5,2,8,4,6,1,7,3] => 0001111
[2,6,3,4,8,7,5,1] => [5,2,7,1,6,4,8,3] => [2,6,1,4,8,7,5,3] => 0001111
[8,4,5,7,6,1,2,3] => [6,1,2,7,3,8,5,4] => [8,1,2,3,5,7,6,4] => 0000111
[8,3,6,7,5,1,2,4] => [5,1,7,3,8,2,6,4] => [8,3,6,7,5,1,2,4] => 0001011
[8,2,1,6,5,7,4,3] => [2,8,4,7,6,1,5,3] => [6,4,2,1,7,5,8,3] => 1010111
[2,7,8,6,1,5,3,4] => [6,2,5,3,1,8,7,4] => [2,5,3,7,8,6,1,4] => 0001101
[4,6,8,2,3,5,1,7] => [5,8,2,4,3,6,1,7] => [4,6,8,2,3,5,1,7] => 0001001
[3,5,1,6,4,8,2,7] => [5,8,3,6,1,4,2,7] => [3,6,1,8,4,5,2,7] => 0001101
[3,5,8,6,2,1,4,7] => [2,6,3,1,5,8,4,7] => [3,5,8,6,2,1,4,7] => 1000101
[2,4,8,5,6,1,3,7] => [6,2,1,4,8,5,3,7] => [2,4,8,5,6,1,3,7] => 0000101
[4,8,2,5,6,1,3,7] => [6,8,1,4,2,5,3,7] => [4,8,1,5,6,2,3,7] => 0000101
[5,3,8,4,2,7,6,1] => [6,4,7,5,2,8,1,3] => [5,2,8,4,1,7,6,3] => 0011111
[2,8,5,3,1,4,7,6] => [3,2,5,1,8,7,4,6] => [2,7,5,3,1,4,8,6] => 0101011
[8,7,3,6,5,2,4,1] => [4,5,6,3,7,2,8,1] => [8,7,3,6,5,2,4,1] => 0011111
[3,1,2,8,6,5,7,4] => [3,1,2,7,6,8,5,4] => [3,1,2,8,6,5,7,4] => 0100111
[8,4,1,3,2,5,7,6] => [4,3,1,8,2,7,5,6] => [3,1,7,4,2,5,8,6] => 0110011
[7,3,8,6,2,1,4,5] => [2,6,8,3,4,7,1,5] => [7,3,4,8,6,2,1,5] => 1000111
[7,2,8,4,6,5,1,3] => [5,6,2,7,8,1,4,3] => [8,2,7,4,6,5,1,3] => 0001111
[6,7,5,2,4,8,3,1] => [3,8,5,1,7,6,4,2] => [6,7,5,1,4,8,3,2] => 0101011
[8,2,7,3,4,6,1,5] => [6,8,7,3,1,4,2,5] => [7,3,8,1,4,6,2,5] => 0000111
[8,3,5,6,4,7,2,1] => [2,7,8,6,3,5,4,1] => [6,3,5,8,4,7,2,1] => 1000111
[8,5,6,2,4,3,7,1] => [7,6,4,2,8,5,3,1] => [4,2,8,5,6,3,7,1] => 0010111
[6,5,8,1,3,4,2,7] => [8,4,1,3,6,5,2,7] => [4,1,3,6,5,8,2,7] => 0010101
[6,4,8,7,5,3,2,1] => [2,3,5,7,6,1,8,4] => [6,3,2,1,8,7,5,4] => 1101111
[6,7,1,4,3,2,8,5] => [7,3,4,1,8,6,2,5] => [4,3,1,6,8,2,7,5] => 0110011
[7,2,5,1,4,8,3,6] => [5,7,8,1,2,3,4,6] => [8,1,7,2,5,3,4,6] => 0001011
[1,5,6,3,2,8,7,4] => [1,3,6,7,5,2,8,4] => [1,5,8,7,3,2,6,4] => 0100111
[1,6,7,3,2,8,5,4] => [1,3,7,5,8,6,2,4] => [1,6,8,5,3,2,7,4] => 0101011
[3,2,7,6,8,4,5,1] => [5,3,2,8,4,7,6,1] => [3,2,7,6,8,4,5,1] => 0101011
[1,3,8,5,2,7,6,4] => [1,5,3,8,6,7,4,2] => [1,3,7,6,4,8,5,2] => 0001111
[7,6,5,3,1,8,2,4] => [3,5,6,1,7,8,2,4] => [8,1,7,6,5,3,2,4] => 0101111
[2,5,1,4,7,3,6,8] => [5,2,7,1,4,3,6,8] => [2,7,1,4,5,3,6,8] => 0001010
[2,6,1,5,7,4,8,3] => [6,2,8,7,1,5,4,3] => [2,7,1,5,8,4,6,3] => 0000111
[3,6,5,2,1,4,7,8] => [2,5,3,1,6,4,7,8] => [3,6,5,2,1,4,7,8] => 1001100
[5,4,1,6,3,7,2,8] => [4,5,7,6,2,1,3,8] => [6,2,7,1,5,4,3,8] => 0011110
[3,6,5,7,1,4,2,8] => [7,4,3,1,6,5,2,8] => [3,4,1,6,5,7,2,8] => 0010110
[3,6,5,1,4,7,2,8] => [5,6,3,2,7,4,1,8] => [3,7,2,4,6,5,1,8] => 0001110
[4,2,5,7,6,1,3,8] => [6,4,1,2,5,7,3,8] => [4,1,5,7,6,2,3,8] => 0010110
[3,4,7,6,1,2,5,8] => [6,1,3,4,2,7,5,8] => [3,4,7,6,1,2,5,8] => 0000110
[5,4,2,6,3,7,1,8] => [7,4,5,6,3,2,1,8] => [6,3,5,4,2,7,1,8] => 0011110
[4,6,5,2,1,7,3,8] => [2,5,6,4,7,3,1,8] => [4,7,3,6,5,2,1,8] => 1001110
[3,5,8,2,1,4,6,7] => [2,8,3,1,5,4,6,7] => [3,5,8,2,1,4,6,7] => 1000001
[3,5,8,2,4,6,7,1] => [7,8,3,2,5,4,6,1] => [3,5,8,2,4,6,7,1] => 0000011
[5,3,8,2,1,4,6,7] => [2,8,5,1,3,4,6,7] => [5,2,1,8,3,4,6,7] => 1001001
[5,1,3,8,2,4,6,7] => [5,8,1,2,3,4,6,7] => [8,1,5,2,3,4,6,7] => 0001001
[1,5,8,4,2,3,6,7] => [1,4,2,8,5,3,6,7] => [1,5,8,4,2,3,6,7] => 0010001
[5,8,2,1,4,3,6,7] => [2,8,4,1,5,3,6,7] => [4,2,1,5,8,3,6,7] => 1010001
[5,8,2,4,6,3,1,7] => [3,6,8,1,5,4,2,7] => [5,8,1,4,6,3,2,7] => 0100101
[5,8,1,4,6,2,3,7] => [8,6,2,1,5,4,3,7] => [5,6,2,4,8,1,3,7] => 0000101
[1,5,8,4,6,7,2,3] => [1,7,2,8,5,4,6,3] => [1,5,8,4,6,7,2,3] => 0000011
[3,8,4,6,7,2,5,1] => [5,7,3,8,2,4,6,1] => [3,8,2,6,7,4,5,1] => 0001011
[1,8,6,4,5,7,2,3] => [1,7,2,6,4,8,5,3] => [1,8,6,4,5,7,2,3] => 0000111
[8,6,2,4,5,3,1,7] => [3,5,6,1,4,8,2,7] => [8,6,1,4,5,3,2,7] => 0101101
[1,8,6,4,2,3,5,7] => [1,4,2,6,3,8,5,7] => [1,8,6,4,2,3,5,7] => 0010101
[3,8,1,6,2,4,5,7] => [8,6,3,2,4,1,5,7] => [3,6,2,4,8,1,5,7] => 0000101
[3,8,6,2,1,4,5,7] => [2,6,3,1,4,8,5,7] => [3,8,6,2,1,4,5,7] => 1000101
[3,8,6,2,4,1,5,7] => [4,6,3,2,1,8,5,7] => [3,8,6,2,4,1,5,7] => 0010101
[8,1,3,6,2,4,5,7] => [8,6,1,2,4,3,5,7] => [6,1,4,8,2,3,5,7] => 0000101
[8,3,6,7,2,1,4,5] => [2,7,8,1,4,3,6,5] => [8,2,1,4,6,7,3,5] => 1000011
[3,8,6,7,2,1,4,5] => [2,7,3,1,4,8,6,5] => [3,8,6,7,2,1,4,5] => 1000011
[8,2,6,4,5,1,7,3] => [5,8,7,6,4,2,1,3] => [6,4,7,2,8,1,5,3] => 0001111
[1,8,4,6,7,5,2,3] => [1,5,2,7,8,3,6,4] => [1,8,2,3,6,7,5,4] => 0001011
[1,8,4,2,6,3,7,5] => [1,4,8,6,7,3,2,5] => [1,7,3,6,4,2,8,5] => 0010111
[8,2,1,4,7,3,6,5] => [2,8,7,1,6,3,4,5] => [6,2,1,7,3,4,8,5] => 1000111
[8,4,2,1,5,7,3,6] => [2,4,8,7,3,1,5,6] => [7,3,8,4,2,1,5,6] => 1010011
[3,2,1,7,4,5,8,6] => [2,3,1,7,4,8,5,6] => [3,2,1,8,4,5,7,6] => 1100011
[4,2,1,7,5,3,8,6] => [2,4,5,1,7,8,3,6] => [8,5,2,1,4,3,7,6] => 1011011
[5,2,1,8,6,3,4,7] => [2,5,6,3,1,8,4,7] => [8,6,3,5,2,1,4,7] => 1001101
[3,2,7,6,1,4,8,5] => [6,3,2,1,7,8,5,4] => [3,2,8,5,7,6,1,4] => 0100111
[3,2,8,6,1,4,7,5] => [6,3,2,1,8,7,5,4] => [3,2,7,5,8,6,1,4] => 0100111
[2,1,5,8,7,3,6,4] => [2,1,7,6,5,3,8,4] => [2,1,5,6,3,8,7,4] => 1000111
[3,2,1,6,7,4,8,5] => [2,3,1,7,8,6,4,5] => [3,2,1,6,8,4,7,5] => 1100011
[3,1,5,2,6,8,7,4] => [3,5,1,7,2,6,8,4] => [6,8,7,1,3,2,5,4] => 0101011
[3,5,8,6,4,1,7,2] => [4,6,3,8,5,7,1,2] => [3,5,7,1,8,6,4,2] => 0010111
[1,4,3,6,8,2,7,5] => [1,8,4,3,7,6,2,5] => [1,4,3,6,7,2,8,5] => 0010011
[5,1,8,6,4,2,3,7] => [5,4,2,6,1,8,3,7] => [8,6,4,2,5,1,3,7] => 0011101
[1,2,8,6,4,7,3,5] => [1,2,7,6,3,8,4,5] => [1,2,8,6,3,7,4,5] => 0000111
[5,3,2,7,8,6,4,1] => [4,3,6,5,1,8,7,2] => [5,3,1,7,8,6,4,2] => 0111101
[4,2,7,8,3,5,6,1] => [6,4,8,2,3,5,7,1] => [7,8,2,4,3,5,6,1] => 0010101
[2,8,3,7,1,4,6,5] => [7,2,8,1,6,4,3,5] => [2,6,1,4,8,3,7,5] => 0000111
[5,4,7,6,1,2,8,3] => [6,1,7,5,4,8,3,2] => [5,4,8,3,7,6,1,2] => 0001111
[3,8,4,2,7,6,5,1] => [5,4,3,6,7,8,2,1] => [3,8,4,2,7,6,5,1] => 0011111
[7,3,2,6,4,1,8,5] => [4,3,6,7,8,1,2,5] => [8,3,1,7,4,2,6,5] => 0110111
[4,8,3,7,1,5,6,2] => [7,6,8,4,1,5,3,2] => [4,8,1,5,6,3,7,2] => 0000111
[3,2,4,8,7,5,6,1] => [6,3,2,4,7,5,8,1] => [3,2,4,8,7,5,6,1] => 0100111
[3,2,5,6,8,1,4,7] => [8,3,2,1,5,6,4,7] => [3,2,5,6,8,1,4,7] => 0100001
[3,8,1,6,4,5,2,7] => [8,5,3,6,4,1,2,7] => [3,6,4,5,1,8,2,7] => 0001101
[8,1,3,6,5,4,2,7] => [8,4,1,5,6,3,2,7] => [6,5,4,1,3,8,2,7] => 0011101
[7,4,3,6,2,1,8,5] => [2,6,4,7,8,3,1,5] => [8,4,3,7,2,1,6,5] => 1010111
[1,2,4,8,6,3,7,5] => [1,2,6,4,8,7,5,3] => [1,2,4,7,5,8,6,3] => 0000111
[7,2,1,5,3,4,8,6] => [2,7,5,3,1,8,4,6] => [5,3,8,2,1,4,7,6] => 1001011
[7,1,5,2,4,6,8,3] => [7,5,8,2,1,4,6,3] => [8,2,5,1,4,6,7,3] => 0001011
[1,8,6,4,7,5,3,2] => [1,3,5,7,6,8,2,4] => [1,8,6,3,2,7,5,4] => 0101111
[4,5,8,7,3,1,2,6] => [3,1,7,4,5,2,8,6] => [4,5,8,7,3,1,2,6] => 0100011
[1,3,8,7,6,4,2,5] => [1,4,3,6,2,7,8,5] => [1,3,8,7,6,4,2,5] => 0010111
[1,8,6,4,7,5,2,3] => [1,5,2,7,6,8,3,4] => [1,8,6,2,3,7,5,4] => 0001111
[4,1,8,6,3,7,5,2] => [4,5,7,1,6,8,2,3] => [8,6,1,7,5,2,4,3] => 0011111
[7,1,8,4,3,2,5,6] => [7,3,4,8,2,5,1,6] => [8,4,3,2,5,7,1,6] => 0110011
[1,7,5,4,8,2,3,6] => [1,8,2,5,7,3,4,6] => [1,7,5,2,3,8,4,6] => 0001011
[8,4,3,1,6,2,5,7] => [3,4,8,6,2,1,5,7] => [6,2,8,4,3,1,5,7] => 0110101
[8,5,4,3,7,1,6,2] => [7,6,4,5,8,1,3,2] => [8,5,4,1,6,3,7,2] => 0011111
[5,7,2,8,6,3,1,4] => [3,6,8,1,5,7,2,4] => [5,7,1,8,6,3,2,4] => 0100111
[1,7,2,8,6,4,3,5] => [1,7,4,6,3,8,2,5] => [1,8,6,4,3,7,2,5] => 0010111
[6,5,4,2,7,3,8,1] => [8,4,5,6,7,2,3,1] => [7,2,6,5,4,3,8,1] => 0011111
[3,5,4,1,7,8,2,6] => [4,5,3,8,2,1,7,6] => [3,7,8,2,5,4,1,6] => 0011001
[7,5,4,3,1,6,8,2] => [3,4,5,7,8,2,6,1] => [8,2,6,7,5,4,3,1] => 0111011
[5,3,7,4,2,6,8,1] => [8,4,7,5,2,3,6,1] => [5,2,7,4,3,6,8,1] => 0011011
[5,3,7,4,2,6,1,8] => [6,4,7,5,2,3,1,8] => [5,2,7,4,3,6,1,8] => 0011110
[5,2,8,4,3,1,6,7] => [3,4,8,5,2,1,6,7] => [5,2,8,4,3,1,6,7] => 0111001
[5,2,7,4,3,6,1,8] => [6,5,4,7,2,3,1,8] => [7,4,2,5,3,6,1,8] => 0011110
[3,1,5,7,8,4,2,6] => [3,4,1,8,5,2,7,6] => [5,7,8,4,1,3,2,6] => 0110001
[5,2,7,4,1,3,8,6] => [4,7,2,5,1,8,3,6] => [5,2,8,4,1,3,7,6] => 0011011
[6,2,3,7,4,5,1,8] => [5,6,2,7,4,3,1,8] => [7,4,6,2,3,5,1,8] => 0001110
[1,2,8,6,4,3,5,7] => [1,2,4,6,3,8,5,7] => [1,2,8,6,4,3,5,7] => 0010101
[4,7,2,8,5,1,3,6] => [5,8,2,4,7,3,1,6] => [4,7,2,3,8,5,1,6] => 0001011
[4,5,7,8,1,6,3,2] => [8,3,6,4,5,1,7,2] => [4,5,6,3,1,7,8,2] => 0100101
[2,5,7,8,4,6,3,1] => [3,2,6,8,5,4,7,1] => [2,5,7,8,4,6,3,1] => 0100101
[1,8,2,7,5,3,4,6] => [1,8,5,3,7,4,2,6] => [1,7,5,3,4,8,2,6] => 0001011
[7,4,5,8,2,6,1,3] => [6,8,1,7,4,2,5,3] => [7,4,8,1,5,6,2,3] => 0000111
[5,4,2,1,8,6,7,3] => [2,4,5,7,3,8,6,1] => [8,6,7,3,5,4,2,1] => 1011011
[4,7,5,8,1,6,2,3] => [8,6,2,4,7,1,5,3] => [4,7,2,6,5,8,1,3] => 0000111
[5,6,8,3,4,2,7,1] => [7,4,8,3,5,6,2,1] => [5,6,8,3,4,2,7,1] => 0010011
[4,1,5,3,8,6,7,2] => [4,7,5,1,3,8,6,2] => [5,1,8,6,7,3,4,2] => 0011011
[2,3,5,1,8,6,7,4] => [5,2,3,7,1,8,6,4] => [2,3,8,6,7,1,5,4] => 0001011
[7,3,4,8,2,6,1,5] => [6,8,7,3,1,2,4,5] => [7,3,8,1,6,2,4,5] => 0000111
[7,4,2,8,3,6,1,5] => [6,4,7,8,1,2,3,5] => [8,1,7,4,2,6,3,5] => 0010111
[7,3,5,1,4,8,6,2] => [5,6,8,1,2,7,4,3] => [7,1,8,6,2,4,5,3] => 0001111
[7,1,3,2,4,5,6,8] => [7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => 0100010
[5,3,2,4,8,1,6,7] => [8,3,5,2,4,1,6,7] => [5,3,2,4,8,1,6,7] => 0101001
[5,3,2,4,7,1,8,6] => [7,3,5,2,4,8,1,6] => [5,3,2,4,8,1,7,6] => 0101011
[8,4,3,5,1,7,6,2] => [5,6,4,7,2,8,1,3] => [8,4,2,7,6,1,5,3] => 0011111
[5,3,1,7,2,4,8,6] => [3,5,7,1,2,8,4,6] => [8,1,5,3,2,4,7,6] => 0101011
[8,4,5,3,7,1,2,6] => [7,1,5,8,4,2,3,6] => [8,4,5,1,2,7,3,6] => 0001011
[5,3,2,8,4,7,1,6] => [7,3,5,8,2,1,4,6] => [8,3,2,5,1,7,4,6] => 0101011
[5,1,2,8,4,7,3,6] => [5,1,7,8,2,3,4,6] => [8,1,2,7,3,5,4,6] => 0001011
[3,7,4,5,6,8,2,1] => [2,8,3,7,4,5,6,1] => [3,7,4,5,6,8,2,1] => 1000011
[8,7,1,4,2,5,3,6] => [7,4,5,1,2,3,8,6] => [5,1,4,2,8,7,3,6] => 0011011
[4,6,8,3,7,1,5,2] => [7,5,8,4,1,6,3,2] => [4,6,8,1,5,3,7,2] => 0001011
[8,7,1,2,5,6,3,4] => [7,1,6,3,2,5,8,4] => [6,3,5,8,7,1,2,4] => 0000111
[8,5,1,4,3,2,7,6] => [5,3,4,1,8,7,2,6] => [4,3,1,7,5,2,8,6] => 0111011
[8,5,1,4,3,2,6,7] => [5,3,4,1,8,2,6,7] => [4,3,1,8,5,2,6,7] => 0111001
[8,5,1,4,3,6,7,2] => [5,8,4,2,7,3,6,1] => [4,2,7,3,6,8,5,1] => 0011011
[7,5,4,1,3,6,8,2] => [4,5,1,7,8,3,6,2] => [8,1,3,6,7,5,4,2] => 0011011
[1,2,6,4,8,3,5,7] => [1,2,8,6,3,4,5,7] => [1,2,6,3,8,4,5,7] => 0000101
[6,5,4,3,1,7,2,8] => [3,4,5,6,7,2,1,8] => [7,2,6,5,4,3,1,8] => 0111110
[3,6,7,2,5,1,8,4] => [5,7,3,8,2,6,1,4] => [3,6,8,2,7,1,5,4] => 0001011
[6,1,3,2,8,5,7,4] => [6,3,1,7,8,2,5,4] => [3,1,8,2,7,5,6,4] => 0100111
[3,1,2,4,5,6,7,9,8] => [3,1,2,4,5,6,7,9,8] => [3,1,2,4,5,6,7,9,8] => 01000001
[8,5,3,2,4,7,1,6] => [7,3,5,2,8,1,4,6] => [8,5,3,2,7,1,4,6] => 0101011
[6,7,4,2,5,8,3,1] => [3,8,4,7,1,6,5,2] => [6,7,4,1,5,8,3,2] => 0110011
[8,5,2,1,6,4,3,7] => [2,5,4,8,6,3,1,7] => [6,4,3,8,5,2,1,7] => 1011101
[8,4,6,5,1,3,2,7] => [5,3,1,6,8,2,4,7] => [3,1,8,2,6,5,4,7] => 0101101
[1,3,8,4,7,5,2,6] => [1,5,3,7,8,4,2,6] => [1,3,8,4,7,5,2,6] => 0001011
[5,3,7,1,4,6,8,2] => [7,8,5,1,3,4,6,2] => [5,1,8,3,4,6,7,2] => 0001011
[5,7,2,6,1,4,8,3] => [6,7,8,1,5,2,4,3] => [5,8,1,7,2,4,6,3] => 0000111
[3,8,5,7,6,1,2,4] => [6,1,3,2,7,8,4,5] => [3,8,1,2,4,7,6,5] => 0000111
[3,8,6,4,7,2,1,5] => [2,7,3,6,1,8,4,5] => [3,8,6,2,1,7,4,5] => 1000111
[5,2,7,4,6,8,3,1] => [3,8,5,7,1,4,6,2] => [7,1,5,4,6,8,3,2] => 0101011
[4,8,6,3,7,2,1,5] => [2,7,6,4,1,8,3,5] => [4,8,6,2,1,7,3,5] => 1000111
[2,8,3,1,7,6,4,5] => [3,2,8,6,4,7,1,5] => [2,7,6,4,8,3,1,5] => 0100111
[2,5,6,4,8,1,7,3] => [8,2,7,6,5,4,1,3] => [2,5,6,4,7,1,8,3] => 0000111
[3,5,1,4,2,6,7,8] => [5,4,3,1,2,6,7,8] => [3,4,1,5,2,6,7,8] => 0011000
[1,8,4,2,3,7,5,6] => [1,4,2,8,7,5,3,6] => [1,7,5,8,4,2,3,6] => 0010011
[1,5,2,7,6,4,3,8] => [1,5,4,6,2,7,3,8] => [1,7,6,4,2,5,3,8] => 0011110
[1,3,7,6,5,2,4,8] => [1,5,3,2,6,7,4,8] => [1,3,7,6,5,2,4,8] => 0001110
[1,5,3,8,4,2,6,7] => [1,4,8,5,2,3,6,7] => [1,5,2,8,4,3,6,7] => 0011001
[1,8,2,4,7,5,3,6] => [1,8,5,2,7,3,4,6] => [1,7,5,2,8,3,4,6] => 0001011
[1,8,6,5,2,4,3,7] => [1,5,4,2,6,8,3,7] => [1,4,2,8,6,5,3,7] => 0011101
[1,6,5,4,2,7,3,8] => [1,4,5,6,7,2,3,8] => [1,7,2,6,5,4,3,8] => 0011110
[1,2,8,6,7,5,4,3] => [1,2,4,5,7,8,6,3] => [1,2,8,6,7,5,4,3] => 0011011
[1,7,5,4,3,2,6,8] => [1,3,4,5,7,2,6,8] => [1,7,5,4,3,2,6,8] => 0111010
[3,8,5,7,4,6,2,1] => [2,6,3,7,8,4,5,1] => [3,8,4,7,5,6,2,1] => 1000111
[6,5,2,4,1,3,8,7] => [4,5,1,2,6,3,8,7] => [6,5,1,4,2,3,8,7] => 0011101
[7,6,3,2,5,1,8,4] => [5,3,6,7,4,8,1,2] => [8,4,7,6,3,1,5,2] => 0101111
[4,2,5,7,8,6,3,1] => [3,6,4,1,5,8,7,2] => [4,1,5,7,8,6,3,2] => 0110101
[4,2,5,8,7,6,3,1] => [3,6,4,1,5,7,8,2] => [4,1,5,8,7,6,3,2] => 0110111
[6,7,2,4,5,1,8,3] => [5,7,8,2,4,6,1,3] => [6,8,2,4,7,1,5,3] => 0001011
[7,2,8,3,1,6,4,5] => [3,8,7,6,4,2,1,5] => [6,4,7,2,8,3,1,5] => 0100111
[2,4,7,8,1,3,6,5] => [8,2,1,4,6,3,7,5] => [2,4,6,1,3,7,8,5] => 0000101
[8,4,2,3,1,7,6,5] => [3,4,2,8,6,7,1,5] => [7,6,4,2,3,1,8,5] => 0110111
[8,7,2,5,1,4,3,6] => [5,7,4,1,2,3,8,6] => [4,1,8,7,2,5,3,6] => 0011011
[8,2,4,3,1,7,6,5] => [3,4,8,1,6,7,2,5] => [7,6,1,4,3,2,8,5] => 0110111
[8,4,1,3,2,7,6,5] => [4,3,1,8,6,7,2,5] => [3,1,7,6,4,2,8,5] => 0110111
[6,3,5,2,8,7,1,4] => [7,5,6,1,3,2,8,4] => [6,1,5,3,8,7,2,4] => 0001111
[8,1,3,5,2,4,7,6] => [8,5,1,2,3,7,4,6] => [5,1,7,2,3,4,8,6] => 0001011
[8,6,5,1,7,4,2,3] => [5,4,2,6,8,7,1,3] => [7,4,2,8,6,5,1,3] => 0011111
[5,8,3,1,2,7,4,6] => [3,1,8,7,5,4,2,6] => [5,7,4,8,3,1,2,6] => 0100011
[8,3,4,2,1,7,6,5] => [2,4,8,3,6,7,1,5] => [7,6,3,4,2,1,8,5] => 1010111
[8,3,1,7,5,6,2,4] => [3,8,6,1,7,5,2,4] => [7,5,6,1,8,3,2,4] => 0100111
[8,4,1,7,5,2,6,3] => [4,8,5,7,6,1,2,3] => [6,1,7,5,2,8,4,3] => 0011111
[8,4,2,7,5,3,1,6] => [3,5,4,7,8,1,2,6] => [8,4,1,7,5,3,2,6] => 0111011
[8,4,3,7,5,1,2,6] => [5,1,4,7,8,3,2,6] => [8,4,3,7,5,1,2,6] => 0011011
[8,5,7,6,4,3,1,2] => [3,1,4,6,7,8,2,5] => [8,4,3,1,2,7,6,5] => 0110111
[8,4,7,6,5,2,1,3] => [2,5,1,6,7,8,4,3] => [8,4,7,6,5,2,1,3] => 1001111
[8,3,1,4,7,6,2,5] => [3,8,6,2,1,7,4,5] => [7,6,2,8,3,1,4,5] => 0100111
[8,3,5,7,6,2,4,1] => [4,6,7,3,2,8,5,1] => [8,3,5,7,6,2,4,1] => 0010111
[3,6,2,4,8,1,7,5] => [8,6,3,2,7,4,1,5] => [3,7,2,4,6,1,8,5] => 0000111
[7,3,8,2,4,6,1,5] => [6,8,7,2,1,4,3,5] => [7,2,8,1,4,6,3,5] => 0000111
[4,2,5,8,3,6,1,7] => [6,4,8,2,5,3,1,7] => [5,8,2,4,3,6,1,7] => 0010101
[5,2,1,6,8,3,7,4] => [2,5,8,7,1,6,3,4] => [6,7,2,1,8,3,5,4] => 1001011
[4,5,3,1,8,2,6,7] => [3,5,8,4,2,1,6,7] => [4,8,2,5,3,1,6,7] => 0101001
[6,1,7,3,2,8,4,5] => [6,3,7,8,4,1,2,5] => [8,4,7,3,1,6,2,5] => 0100111
[6,2,1,7,3,8,4,5] => [2,6,7,8,4,1,3,5] => [8,4,7,2,1,6,3,5] => 1000111
[5,8,2,1,3,4,6,7] => [2,8,1,3,5,4,6,7] => [5,8,2,1,3,4,6,7] => 1000001
[7,3,1,8,2,4,6,5] => [3,7,8,1,6,4,2,5] => [6,1,4,8,3,2,7,5] => 0100111
[7,4,2,8,3,1,5,6] => [3,8,4,7,2,5,1,6] => [7,4,2,5,8,3,1,6] => 0110011
[7,4,2,8,3,5,1,6] => [5,4,7,8,2,1,3,6] => [8,2,7,4,1,5,3,6] => 0011011
[4,7,8,2,1,5,6,3] => [2,8,6,4,1,5,7,3] => [4,6,2,1,5,7,8,3] => 1000101
[6,7,8,5,2,1,4,3] => [2,5,4,1,8,6,7,3] => [4,2,1,6,7,8,5,3] => 1011001
[4,7,8,2,1,5,3,6] => [2,8,5,4,1,3,7,6] => [4,5,2,1,7,8,3,6] => 1001001
[1,6,2,7,8,4,3,5] => [1,6,4,8,3,2,7,5] => [1,7,8,4,3,6,2,5] => 0010101
[8,2,1,5,6,3,4,7] => [2,8,6,3,1,5,4,7] => [6,3,5,8,2,1,4,7] => 1000101
[7,3,4,1,8,6,2,5] => [4,6,8,2,3,7,1,5] => [7,2,8,6,3,4,1,5] => 0010111
[1,6,7,8,3,2,5,4] => [1,3,8,5,2,6,7,4] => [1,5,3,2,6,7,8,4] => 0101001
[6,2,4,3,8,7,1,5] => [7,6,4,2,1,3,8,5] => [4,2,6,1,8,7,3,5] => 0010111
[5,7,1,4,6,2,8,3] => [7,6,8,1,5,4,2,3] => [5,8,1,4,6,2,7,3] => 0000111
[7,4,5,2,8,6,1,3] => [6,5,1,8,3,7,2,4] => [7,1,3,5,2,8,6,4] => 0001111
[8,7,1,5,4,6,3,2] => [7,3,6,5,1,4,8,2] => [5,3,1,6,4,8,7,2] => 0101111
[4,3,8,6,5,2,7,1] => [7,5,4,3,6,8,2,1] => [4,3,8,6,5,2,7,1] => 0011111
[8,7,4,6,5,1,2,3] => [5,1,2,6,7,3,8,4] => [8,7,1,2,3,6,5,4] => 0001111
[2,1,3,6,8,4,7,5] => [2,1,3,8,7,6,4,5] => [2,1,3,6,7,4,8,5] => 1000011
[5,4,7,3,1,2,6,8] => [3,1,7,5,4,2,6,8] => [5,4,7,3,1,2,6,8] => 0101010
[3,5,2,6,7,4,1,8] => [4,7,3,5,1,6,2,8] => [3,5,1,6,7,4,2,8] => 0011010
[2,7,1,8,5,4,3,6] => [7,2,4,5,8,3,1,6] => [2,8,5,4,3,7,1,6] => 0011011
[8,1,2,7,6,4,3,5] => [8,1,4,6,3,7,2,5] => [7,6,4,3,8,1,2,5] => 0010111
[3,1,2,6,5,7,8,4] => [3,1,2,8,6,5,7,4] => [3,1,2,6,5,7,8,4] => 0100101
[7,3,5,6,2,4,8,1] => [8,6,7,2,3,5,4,1] => [7,2,5,6,3,4,8,1] => 0000111
[8,3,4,6,5,2,1,7] => [2,5,6,1,8,4,3,7] => [8,2,1,4,6,5,3,7] => 1001101
[8,1,2,5,7,4,3,6] => [8,1,4,7,2,3,5,6] => [7,4,1,2,8,3,5,6] => 0010011
[8,2,6,1,5,4,3,7] => [6,8,4,5,1,2,3,7] => [5,4,1,8,2,6,3,7] => 0011101
[6,2,1,8,5,4,3,7] => [2,6,4,5,8,1,3,7] => [8,5,4,2,1,6,3,7] => 1011101
[8,1,5,7,2,4,3,6] => [8,7,4,2,1,3,5,6] => [4,2,7,1,8,3,5,6] => 0010011
[3,7,5,6,2,4,1,8] => [4,6,3,2,7,5,1,8] => [3,7,5,6,2,4,1,8] => 0010110
[3,2,4,1,6,5,8,7,9] => [4,3,2,1,6,5,8,7,9] => [3,2,4,1,6,5,8,7,9] => 01101010
[3,7,1,5,6,2,4,8] => [7,6,3,2,1,5,4,8] => [3,6,2,5,7,1,4,8] => 0000110
[5,6,8,2,1,3,4,7] => [2,8,1,3,5,6,4,7] => [5,6,8,2,1,3,4,7] => 1000001
[6,3,1,2,7,8,4,5] => [3,1,6,8,4,2,7,5] => [7,8,4,6,3,1,2,5] => 0100101
[7,4,6,2,8,1,3,5] => [8,6,1,7,3,4,2,5] => [7,1,3,6,4,8,2,5] => 0000111
[8,4,7,1,2,5,3,6] => [7,1,5,8,2,3,4,6] => [8,1,2,5,3,7,4,6] => 0001011
[7,4,6,1,2,8,5,3] => [6,1,5,8,7,3,2,4] => [7,3,8,5,1,2,6,4] => 0001111
[7,4,6,1,8,5,2,3] => [6,5,2,8,7,3,1,4] => [7,2,3,8,5,1,6,4] => 0001111
[8,5,6,7,2,4,1,3] => [4,7,1,2,8,5,6,3] => [8,5,6,7,1,4,2,3] => 0010011
[8,5,6,7,1,2,4,3] => [7,1,4,2,8,5,6,3] => [4,1,2,8,5,6,7,3] => 0010011
[5,1,3,7,6,2,8,4] => [5,6,1,7,3,8,4,2] => [8,1,3,7,6,4,5,2] => 0001111
[7,1,3,6,5,4,8,2] => [7,8,1,5,6,3,4,2] => [6,5,1,3,8,4,7,2] => 0001111
[4,3,5,1,7,2,6,8] => [5,7,4,3,1,2,6,8] => [4,3,7,1,5,2,6,8] => 0011010
[4,8,3,1,5,2,6,7] => [3,8,5,4,2,1,6,7] => [4,5,2,8,3,1,6,7] => 0101001
[3,7,6,2,5,1,4,8] => [5,6,3,1,2,7,4,8] => [3,7,6,1,5,2,4,8] => 0001110
[6,5,4,1,2,7,3,8] => [4,1,5,6,7,2,3,8] => [7,1,2,6,5,4,3,8] => 0011110
[6,8,4,2,3,1,7,5] => [3,4,2,8,7,6,1,5] => [6,7,4,2,3,1,8,5] => 0110011
[1,7,6,2,8,3,5,4] => [1,6,7,5,2,8,3,4] => [1,5,2,8,3,7,6,4] => 0001111
[1,8,5,4,7,2,3,6] => [1,7,2,5,8,3,4,6] => [1,8,5,2,3,7,4,6] => 0001011
[2,4,3,8,6,5,1,7] => [5,2,4,3,6,8,1,7] => [2,4,3,8,6,5,1,7] => 0011101
[1,8,3,2,5,4,6,7] => [1,3,8,5,2,4,6,7] => [1,5,3,2,8,4,6,7] => 0101001
[5,1,7,3,2,8,4,6] => [5,3,7,8,1,4,2,6] => [8,3,1,7,4,5,2,6] => 0101011
[5,7,8,1,3,2,4,6] => [8,3,1,2,5,4,7,6] => [3,1,5,7,8,2,4,6] => 0100001
[1,7,4,8,3,6,2,5] => [1,6,8,7,2,3,4,5] => [1,7,2,8,3,6,4,5] => 0000111
[6,3,1,2,7,8,5,4] => [3,1,6,5,8,2,7,4] => [7,8,5,3,1,2,6,4] => 0101101
[8,2,7,5,3,4,1,6] => [4,8,5,3,7,1,2,6] => [7,5,3,8,1,4,2,6] => 0011011
[6,3,1,2,8,7,5,4] => [3,1,6,5,7,2,8,4] => [8,7,5,3,1,2,6,4] => 0101111
[8,4,7,2,6,3,1,5] => [3,6,7,8,2,1,4,5] => [8,2,7,3,1,6,4,5] => 0100111
[1,2,5,7,8,3,6,4] => [1,2,8,6,5,3,7,4] => [1,2,5,6,3,7,8,4] => 0000101
[8,4,6,2,3,7,1,5] => [7,6,2,8,1,4,3,5] => [8,2,6,4,7,1,3,5] => 0000111
[1,8,4,5,3,7,2,6] => [1,7,5,8,4,2,3,6] => [1,8,4,5,2,7,3,6] => 0001011
[5,6,3,7,8,2,1,4] => [2,8,6,1,5,3,7,4] => [5,6,2,1,7,8,3,4] => 1000101
[6,8,3,4,7,2,1,5] => [2,7,8,3,1,6,4,5] => [6,8,3,7,2,1,4,5] => 1000011
[8,6,3,4,7,2,1,5] => [2,7,6,3,1,8,4,5] => [8,6,3,7,2,1,4,5] => 1000111
[4,3,8,6,7,5,1,2] => [5,1,4,3,7,8,6,2] => [4,3,8,6,7,5,1,2] => 0011011
[4,5,6,2,7,8,3,1] => [3,8,6,4,5,1,7,2] => [4,5,6,1,7,8,3,2] => 0100101
[4,5,6,2,1,7,8,3] => [2,6,8,4,5,1,7,3] => [4,5,7,8,2,1,6,3] => 1000101
[4,5,6,2,1,7,3,8] => [2,6,7,4,5,1,3,8] => [4,5,7,2,1,6,3,8] => 1000110
[5,8,6,2,1,7,3,4] => [2,6,8,1,5,7,3,4] => [5,7,2,1,8,6,3,4] => 1000111
[8,6,3,4,1,7,2,5] => [4,7,6,3,2,8,1,5] => [8,6,3,7,2,4,1,5] => 0010111
[5,3,6,7,1,4,8,2] => [7,8,5,1,3,6,4,2] => [5,1,6,8,3,4,7,2] => 0001011
[4,5,1,6,7,3,2,8] => [5,3,7,4,1,6,2,8] => [4,6,7,3,1,5,2,8] => 0101010
[2,5,1,8,3,7,4,6] => [5,2,8,7,1,4,3,6] => [2,7,1,8,4,5,3,6] => 0001011
[6,3,8,4,1,5,7,2] => [4,8,7,6,2,1,5,3] => [6,2,7,1,5,8,4,3] => 0010111
[3,7,5,4,1,6,8,2] => [4,5,3,7,8,1,6,2] => [3,8,1,6,7,5,4,2] => 0011011
[4,1,7,6,3,2,5,8] => [4,3,6,1,2,7,5,8] => [7,6,3,1,4,2,5,8] => 0110110
[4,6,1,3,2,5,8,7] => [6,3,1,4,2,5,8,7] => [3,1,4,6,2,5,8,7] => 0100101
[1,8,6,4,7,3,5,2] => [1,5,7,6,3,8,4,2] => [1,8,6,3,7,4,5,2] => 0001111
[5,6,1,8,3,2,4,7] => [6,3,8,2,5,1,4,7] => [5,8,3,2,6,1,4,7] => 0100101
[9,8,7,6,5,4,3,2,1,11,10] => [2,3,4,5,6,7,8,9,1,11,10] => [9,8,7,6,5,4,3,2,1,11,10] => 1111111101
[9,8,7,6,5,2,4,3,1] => [3,4,5,1,6,7,8,9,2] => [9,8,7,6,5,1,4,3,2] => 01111111
[10,9,8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,9,10,1] => [10,9,8,7,6,5,4,2,3,1] => 011111111
[9,3,4,5,6,7,8,10,1,2] => [10,1,9,3,4,5,6,7,8,2] => [9,3,4,5,6,7,8,10,1,2] => 000000011
[2,5,4,8,6,7,3,1] => [3,2,7,5,4,8,6,1] => [2,5,4,8,6,7,3,1] => 0101011
[7,5,4,1,6,8,2,3] => [4,5,2,7,8,1,6,3] => [8,2,6,7,5,4,1,3] => 0011011
[8,5,2,1,7,6,3,4] => [2,5,8,1,6,7,3,4] => [7,6,2,1,8,5,3,4] => 1001111
[5,4,7,3,2,1,8,6] => [2,3,7,5,4,8,1,6] => [5,4,8,3,2,1,7,6] => 1101011
[2,7,3,6,4,1,8,5] => [4,2,6,7,8,1,3,5] => [2,8,1,7,4,3,6,5] => 0010111
[2,6,7,5,3,1,8,4] => [3,2,5,7,8,6,4,1] => [2,6,8,4,7,5,3,1] => 0101011
[5,8,4,1,7,3,6,2] => [4,8,6,7,5,1,2,3] => [5,7,1,6,2,8,4,3] => 0010111
[2,5,1,4,6,3,8,7] => [5,2,6,1,4,3,8,7] => [2,6,1,4,5,3,8,7] => 0001101
[8,5,6,4,3,1,7,2] => [3,4,6,7,8,5,1,2] => [8,5,7,1,6,4,3,2] => 0110111
[8,3,5,6,7,1,2,4] => [7,1,8,2,3,5,6,4] => [8,1,2,5,6,7,3,4] => 0000011
[2,1,4,7,3,6,8,5] => [2,1,7,4,8,3,6,5] => [2,1,4,8,3,6,7,5] => 1000011
[3,7,6,4,2,8,1,5] => [8,4,3,6,1,7,2,5] => [3,7,6,4,1,8,2,5] => 0010111
[8,6,1,4,3,7,2,5] => [6,8,4,2,1,7,3,5] => [4,2,7,1,8,6,3,5] => 0010111
[5,1,4,7,6,8,2,3] => [5,8,2,1,4,7,6,3] => [7,6,8,2,4,5,1,3] => 0001011
[8,1,4,2,6,5,7,3] => [8,4,7,1,6,2,5,3] => [6,1,4,2,7,5,8,3] => 0010111
[1,6,5,3,8,7,2,4] => [1,7,5,2,6,3,8,4] => [1,6,5,2,8,7,3,4] => 0001111
[8,6,5,3,1,7,2,4] => [3,5,6,1,8,7,2,4] => [7,1,8,6,5,3,2,4] => 0101111
[8,6,4,3,7,2,1,5] => [2,7,4,6,1,8,3,5] => [8,6,4,2,1,7,3,5] => 1010111
[5,8,1,6,7,3,2,4] => [8,3,7,2,5,1,6,4] => [5,7,3,2,6,8,1,4] => 0100011
[7,1,8,4,5,3,6,2] => [7,6,5,8,4,3,1,2] => [8,4,5,3,6,1,7,2] => 0001111
[4,3,1,8,6,5,7,2] => [3,4,7,2,6,8,5,1] => [8,6,5,7,2,4,3,1] => 0110111
[5,2,3,7,4,1,8,6] => [4,7,1,5,3,8,2,6] => [5,1,3,8,4,2,7,6] => 0011011
[7,1,2,4,5,6,8,3] => [7,1,8,2,4,5,6,3] => [8,1,2,4,5,6,7,3] => 0000011
[8,7,1,3,4,5,6,2] => [7,6,1,3,4,5,8,2] => [6,1,3,4,5,8,7,2] => 0000111
[1,6,4,2,5,7,8,3] => [1,4,6,8,3,5,7,2] => [1,7,8,3,5,6,4,2] => 0010101
[2,5,3,1,4,7,8,6] => [3,2,5,1,4,8,7,6] => [2,5,3,1,4,7,8,6] => 0101001
[6,8,2,3,1,5,7,4] => [3,8,2,7,1,6,5,4] => [6,7,2,3,1,5,8,4] => 0100011
[7,2,1,3,5,6,8,4] => [2,7,1,8,3,5,6,4] => [8,2,1,3,5,6,7,4] => 1000011
[7,3,6,4,5,8,1,2] => [8,1,7,6,4,3,5,2] => [6,4,7,3,5,8,1,2] => 0000111
[5,8,2,1,7,4,3,6] => [2,8,4,7,5,3,1,6] => [5,7,4,3,8,2,1,6] => 1010011
[6,5,7,2,1,8,4,3] => [2,7,4,8,6,5,1,3] => [6,5,8,4,2,1,7,3] => 1010111
[3,6,8,4,1,7,2,5] => [4,8,3,7,1,6,2,5] => [3,6,7,1,8,4,2,5] => 0010011
[2,1,8,4,7,6,3,5] => [2,1,6,7,4,8,3,5] => [2,1,8,4,7,6,3,5] => 1000111
[2,7,5,6,8,4,3,1] => [3,2,4,8,7,5,6,1] => [2,7,5,6,8,4,3,1] => 0110011
[7,3,4,5,1,6,8,2] => [5,8,7,3,4,1,6,2] => [7,3,4,6,8,1,5,2] => 0001011
[1,3,2,5,4,7,6,9,8,11,10] => [1,3,2,5,4,7,6,9,8,11,10] => [1,3,2,5,4,7,6,9,8,11,10] => 0101010101
[7,6,2,4,3,5,8,1] => [8,6,4,2,3,7,5,1] => [4,2,7,6,3,5,8,1] => 0010111
[6,3,1,7,5,8,4,2] => [3,6,4,8,7,2,5,1] => [7,4,2,8,5,6,3,1] => 0110111
[8,4,2,7,6,1,5,3] => [6,4,7,5,3,8,1,2] => [5,3,8,4,1,7,6,2] => 0011111
[8,4,7,1,2,6,5,3] => [7,1,5,6,8,2,3,4] => [8,1,2,6,5,3,7,4] => 0001111
[7,6,3,4,8,1,5,2] => [8,5,6,3,1,7,4,2] => [7,6,3,5,1,4,8,2] => 0001111
[7,8,4,6,1,2,5,3] => [6,1,5,8,2,4,7,3] => [7,8,1,2,5,4,6,3] => 0001101
[4,1,6,7,5,8,3,2] => [4,3,8,1,7,6,5,2] => [6,7,5,8,3,1,4,2] => 0110011
[8,4,7,1,6,5,2,3] => [7,5,2,6,8,1,3,4] => [8,2,6,5,1,3,7,4] => 0001111
[3,8,7,4,6,1,5,2] => [6,5,3,7,1,4,8,2] => [3,8,7,1,5,4,6,2] => 0001111
[8,7,6,2,1,5,3,4] => [2,6,5,3,1,7,8,4] => [5,3,8,7,6,2,1,4] => 1001111
[5,7,8,1,6,2,4,3] => [8,6,4,2,5,1,7,3] => [4,2,5,6,1,7,8,3] => 0010101
[8,7,6,2,1,3,5,4] => [2,6,1,5,3,7,8,4] => [5,2,1,3,8,7,6,4] => 1001111
[6,8,2,7,1,5,4,3] => [7,8,4,5,1,6,2,3] => [5,4,1,6,8,2,7,3] => 0011011
[6,8,4,5,7,2,1,3] => [2,7,1,8,4,6,5,3] => [6,8,4,5,7,2,1,3] => 1000011
[6,8,4,2,5,1,3,7] => [5,4,1,8,2,6,3,7] => [6,8,4,1,5,2,3,7] => 0011001
[3,2,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => 01100000
[3,6,2,4,5,7,1,8] => [7,6,3,2,4,5,1,8] => [3,6,2,4,5,7,1,8] => 0000110
[3,6,2,5,4,7,1,8] => [7,6,3,5,2,4,1,8] => [3,5,2,6,4,7,1,8] => 0001110
[3,5,1,7,6,4,2,8] => [5,4,3,6,1,7,2,8] => [3,7,6,4,1,5,2,8] => 0011110
[3,6,1,4,5,7,2,8] => [6,7,3,1,4,5,2,8] => [3,7,1,4,5,6,2,8] => 0000110
[3,4,7,6,5,1,2,8] => [5,1,3,4,6,7,2,8] => [3,4,7,6,5,1,2,8] => 0001110
[4,5,2,7,1,3,6,8] => [7,5,1,4,2,3,6,8] => [4,5,1,7,2,3,6,8] => 0001010
[2,5,4,8,6,1,7,3] => [6,2,8,5,4,7,3,1] => [2,5,4,7,3,8,6,1] => 0001111
[2,6,5,1,4,8,7,3] => [5,2,6,3,7,4,8,1] => [2,8,7,3,4,6,5,1] => 0001111
[2,6,5,1,7,3,8,4] => [5,2,6,7,8,3,4,1] => [2,8,3,7,4,6,5,1] => 0001111
[6,8,3,1,5,4,7,2] => [3,8,7,5,2,6,4,1] => [5,2,6,7,4,8,3,1] => 0101011
[5,2,7,1,6,4,8,3] => [7,5,8,6,2,1,4,3] => [6,2,8,1,5,4,7,3] => 0001111
[4,2,8,3,6,7,5,1] => [5,4,7,2,8,1,6,3] => [8,2,4,1,6,7,5,3] => 0011011
[3,7,1,8,5,2,4,6] => [7,5,3,2,8,4,1,6] => [3,8,5,2,4,7,1,6] => 0001011
[6,1,2,4,7,3,5,8] => [6,1,7,2,3,4,5,8] => [7,1,2,6,3,4,5,8] => 0000110
[5,3,1,6,4,7,2,8] => [3,5,7,6,2,4,1,8] => [6,2,7,4,5,3,1,8] => 0101110
[1,2,4,5,8,7,3,6] => [1,2,7,4,5,3,8,6] => [1,2,4,5,8,7,3,6] => 0000011
[1,5,2,3,7,8,6,4] => [1,5,2,6,3,8,7,4] => [1,7,8,6,2,3,5,4] => 0001101
[4,2,8,1,6,5,7,3] => [8,4,7,2,6,1,5,3] => [6,2,4,1,7,5,8,3] => 0010111
[1,2,4,3,6,5,8,7,9] => [1,2,4,3,6,5,8,7,9] => [1,2,4,3,6,5,8,7,9] => 00101010
[2,4,1,3,7,8,6,5] => [4,2,1,3,6,8,7,5] => [2,4,1,3,7,8,6,5] => 0010101
[5,1,6,4,7,8,2,3] => [5,8,2,6,1,4,7,3] => [6,2,7,8,4,5,1,3] => 0001101
[4,7,6,8,2,3,5,1] => [5,8,2,4,3,7,6,1] => [4,7,6,8,2,3,5,1] => 0001011
[3,7,5,6,8,2,4,1] => [4,8,3,2,7,5,6,1] => [3,7,5,6,8,2,4,1] => 0010011
[1,5,4,7,2,6,3,8] => [1,7,6,5,4,2,3,8] => [1,5,4,6,2,7,3,8] => 0001110
[4,3,8,1,6,5,7,2] => [8,7,4,3,6,1,5,2] => [4,3,6,1,7,5,8,2] => 0010111
[2,6,5,1,3,4,8,7] => [5,2,1,3,6,4,8,7] => [2,6,5,1,3,4,8,7] => 0001101
[5,6,4,1,2,7,3,8] => [4,1,6,7,5,3,2,8] => [5,7,3,6,4,1,2,8] => 0010110
[8,1,5,6,2,4,3,7] => [8,6,4,2,1,5,3,7] => [4,2,6,1,5,8,3,7] => 0010101
[5,7,1,4,3,2,6,8] => [7,3,4,1,5,2,6,8] => [4,3,1,5,7,2,6,8] => 0110010
[2,6,4,1,3,7,5,8] => [4,2,1,6,7,3,5,8] => [2,7,4,1,3,6,5,8] => 0010110
[5,8,2,3,7,1,4,6] => [7,8,2,1,5,4,3,6] => [5,8,2,4,7,1,3,6] => 0000011
[7,8,5,3,2,1,6,4] => [2,3,5,8,6,4,7,1] => [6,4,7,8,5,3,2,1] => 1101101
[5,1,3,8,2,6,7,4] => [5,8,1,7,3,2,6,4] => [7,1,3,6,8,2,5,4] => 0001011
[6,1,4,8,2,7,5,3] => [6,8,5,1,7,4,2,3] => [7,5,1,4,8,2,6,3] => 0001111
[6,2,8,1,5,4,3,7] => [8,6,4,5,1,2,3,7] => [5,4,1,6,2,8,3,7] => 0011101
[1,3,5,6,8,2,7,4] => [1,8,3,7,5,6,2,4] => [1,3,5,6,7,2,8,4] => 0000011
[3,4,5,7,1,6,8,2] => [7,8,3,4,5,1,6,2] => [3,4,5,8,1,6,7,2] => 0000011
[5,2,3,7,1,8,4,6] => [7,5,2,8,3,4,1,6] => [8,2,3,5,4,7,1,6] => 0001011
[7,2,3,1,8,4,6,5] => [3,7,2,8,6,4,1,5] => [6,4,8,2,3,1,7,5] => 0100111
[7,3,4,5,1,8,6,2] => [5,6,8,2,4,7,1,3] => [7,2,4,8,6,1,5,3] => 0001111
[3,2,7,5,1,6,4,8] => [5,3,2,7,6,4,1,8] => [3,2,6,4,7,5,1,8] => 0101110
[4,5,2,7,6,3,1,8] => [3,6,5,4,1,7,2,8] => [4,5,1,7,6,3,2,8] => 0101110
[5,6,7,2,8,3,4,1] => [4,7,8,3,5,6,2,1] => [5,6,8,3,7,2,4,1] => 0010011
[2,6,7,8,3,1,4,5] => [3,2,8,1,4,6,7,5] => [2,6,7,8,3,1,4,5] => 0100001
[5,6,1,7,8,3,2,4] => [6,3,8,2,5,1,7,4] => [5,7,8,3,2,6,1,4] => 0100101
[4,6,3,7,8,2,1,5] => [2,8,6,4,1,3,7,5] => [4,6,2,1,7,8,3,5] => 1000101
[6,7,3,4,8,2,5,1] => [5,8,7,3,2,6,4,1] => [6,7,3,8,2,4,5,1] => 0001011
[7,3,4,1,5,8,2,6] => [4,8,7,3,1,2,5,6] => [7,3,8,1,4,2,5,6] => 0010011
[5,6,7,1,8,4,2,3] => [7,4,2,8,5,6,1,3] => [5,6,8,4,2,7,1,3] => 0010011
[1,7,8,4,6,5,2,3] => [1,5,2,6,8,3,7,4] => [1,7,8,2,3,6,5,4] => 0001101
[1,7,3,2,8,6,5,4] => [1,3,7,5,6,8,2,4] => [1,8,6,5,3,2,7,4] => 0101111
[6,2,8,7,1,5,3,4] => [7,6,5,3,1,2,8,4] => [5,3,6,1,8,7,2,4] => 0001111
[2,8,4,7,6,3,1,5] => [3,2,6,7,4,8,1,5] => [2,8,4,7,6,3,1,5] => 0100111
[1,8,2,4,7,6,3,5] => [1,8,6,2,3,7,4,5] => [1,7,6,2,8,3,4,5] => 0000111
[3,1,8,2,6,7,5,4] => [3,8,1,5,7,2,6,4] => [7,5,1,3,2,6,8,4] => 0101011
[3,1,7,2,8,6,5,4] => [3,7,1,5,6,8,2,4] => [8,6,5,1,3,2,7,4] => 0101111
[2,6,8,1,4,3,7,5] => [8,2,4,1,7,6,3,5] => [2,4,1,6,7,3,8,5] => 0010011
[4,1,8,2,6,7,3,5] => [4,8,7,1,3,2,6,5] => [7,1,6,8,3,4,2,5] => 0010011
[2,6,1,5,8,7,3,4] => [6,2,7,3,1,5,8,4] => [2,8,7,3,5,6,1,4] => 0000111
[8,1,7,6,3,2,5,4] => [8,3,6,5,2,7,1,4] => [5,3,2,7,6,1,8,4] => 0101111
[6,8,4,5,3,1,7,2] => [3,5,7,8,4,6,2,1] => [6,8,4,7,2,5,3,1] => 0101011
[6,7,4,5,3,1,8,2] => [3,5,8,7,4,6,2,1] => [6,7,4,8,2,5,3,1] => 0101011
[7,4,6,5,1,2,8,3] => [5,1,6,8,7,2,3,4] => [7,1,2,8,3,6,5,4] => 0001111
[6,5,4,8,3,1,7,2] => [3,8,7,5,6,4,2,1] => [6,5,4,7,2,8,3,1] => 0101111
[6,7,5,3,2,8,4,1] => [4,3,8,5,7,6,1,2] => [6,7,5,3,1,8,4,2] => 0111011
[6,2,5,3,8,1,4,7] => [8,6,5,1,2,3,4,7] => [5,1,6,2,8,3,4,7] => 0001101
[6,2,5,3,7,1,4,8] => [7,6,5,1,2,3,4,8] => [5,1,6,2,7,3,4,8] => 0001110
[7,6,8,1,4,2,5,3] => [8,4,5,1,2,7,6,3] => [5,1,4,2,7,6,8,3] => 0011011
[6,8,5,3,2,7,4,1] => [4,3,7,5,8,6,1,2] => [6,8,5,3,1,7,4,2] => 0111011
[6,3,4,7,2,8,1,5] => [8,7,6,3,1,4,2,5] => [6,3,7,1,4,8,2,5] => 0000111
[6,3,4,8,2,7,1,5] => [7,8,6,3,1,4,2,5] => [6,3,8,1,4,7,2,5] => 0000111
[5,2,7,4,3,1,8,6] => [3,4,7,5,2,8,1,6] => [5,2,8,4,3,1,7,6] => 0111011
[6,8,5,4,7,1,3,2] => [7,3,1,5,8,6,4,2] => [3,1,6,8,5,4,7,2] => 0101011
[3,8,5,4,2,7,6,1] => [6,4,3,5,7,8,1,2] => [3,8,5,4,1,7,6,2] => 0011111
[7,6,5,3,1,4,8,2] => [3,5,6,2,7,8,4,1] => [8,2,4,7,6,5,3,1] => 0101111
[2,8,1,6,3,7,5,4] => [8,2,6,5,7,1,3,4] => [2,7,5,1,6,3,8,4] => 0001111
[7,5,2,1,3,6,8,4] => [2,5,1,7,8,4,6,3] => [8,4,6,7,5,2,1,3] => 1001011
[5,6,1,4,8,3,7,2] => [6,7,8,1,5,4,3,2] => [5,8,1,4,7,3,6,2] => 0000111
[7,6,5,2,1,3,8,4] => [2,5,1,6,7,8,3,4] => [8,2,1,3,7,6,5,4] => 1001111
[7,1,3,2,6,5,4,8] => [7,3,1,5,6,2,4,8] => [3,1,6,5,2,7,4,8] => 0101110
[1,3,6,2,7,5,8,4] => [1,6,3,8,7,2,5,4] => [1,3,7,2,8,5,6,4] => 0000111
[1,4,2,7,6,5,3,8] => [1,4,5,2,6,7,3,8] => [1,7,6,5,2,4,3,8] => 0011110
[1,5,4,2,7,6,3,8] => [1,4,5,6,3,7,2,8] => [1,7,6,3,5,4,2,8] => 0011110
[1,8,4,2,6,5,7,3] => [1,4,8,7,6,3,5,2] => [1,6,3,7,5,8,4,2] => 0010111
[1,6,5,2,7,4,8,3] => [1,5,6,8,7,3,2,4] => [1,7,3,8,2,6,5,4] => 0001111
[1,7,5,6,4,2,8,3] => [1,4,6,8,7,5,3,2] => [1,7,5,8,3,6,4,2] => 0010111
[1,8,5,6,4,2,7,3] => [1,4,6,7,8,5,3,2] => [1,8,5,7,3,6,4,2] => 0010111
[5,1,6,7,4,2,8,3] => [5,4,7,8,1,6,3,2] => [6,8,1,7,4,3,5,2] => 0011011
[4,1,7,8,5,2,6,3] => [4,5,8,1,6,3,7,2] => [6,1,7,8,5,3,4,2] => 0011101
[4,1,6,8,5,2,7,3] => [4,5,8,1,7,6,3,2] => [6,7,1,8,5,3,4,2] => 0011011
[1,3,8,5,6,2,7,4] => [1,6,3,7,8,5,2,4] => [1,3,8,5,7,2,6,4] => 0000111
[1,8,5,4,6,2,7,3] => [1,6,7,5,8,4,2,3] => [1,8,5,4,7,2,6,3] => 0001111
[5,8,4,1,6,2,7,3] => [4,8,6,7,5,2,3,1] => [5,7,2,6,3,8,4,1] => 0010111
[6,4,5,1,7,2,8,3] => [5,7,8,6,4,1,2,3] => [6,4,8,1,7,2,5,3] => 0001111
[4,8,1,3,7,6,2,5] => [8,6,1,4,2,7,3,5] => [4,7,6,1,8,2,3,5] => 0000111
[6,5,2,1,3,8,7,4] => [2,5,1,6,7,4,8,3] => [8,7,4,6,5,2,1,3] => 1001111
[5,7,8,1,2,4,3,6] => [8,1,4,2,5,3,7,6] => [4,1,2,5,7,8,3,6] => 0010001
[1,7,6,8,3,5,4,2] => [1,4,5,8,2,7,6,3] => [1,7,6,8,2,5,4,3] => 0011011
[5,7,6,4,2,1,3,8] => [2,4,1,6,5,7,3,8] => [5,7,6,4,2,1,3,8] => 1010110
[4,6,1,8,3,5,2,7] => [6,5,8,4,3,1,2,7] => [4,8,3,5,1,6,2,7] => 0001101
[3,2,8,6,4,5,1,7] => [5,3,2,6,4,8,1,7] => [3,2,8,6,4,5,1,7] => 0101101
[8,4,3,6,2,5,1,7] => [5,6,4,8,2,3,1,7] => [8,4,2,6,3,5,1,7] => 0011101
[1,6,8,7,4,3,5,2] => [1,5,4,7,3,6,8,2] => [1,6,8,7,4,3,5,2] => 0011011
[7,1,4,3,5,8,2,6] => [7,8,4,1,3,2,5,6] => [4,1,8,3,7,2,5,6] => 0010011
[3,1,2,6,8,7,5,4] => [3,1,2,5,7,6,8,4] => [3,1,2,6,8,7,5,4] => 0101011
[8,6,5,7,2,4,3,1] => [3,4,7,1,6,8,5,2] => [8,6,5,7,1,4,3,2] => 0110111
[7,4,6,1,8,5,3,2] => [6,3,5,8,7,2,1,4] => [7,3,2,8,5,1,6,4] => 0101111
[4,6,8,2,5,7,1,3] => [7,8,1,4,2,6,5,3] => [4,6,8,1,5,7,2,3] => 0000011
[6,4,8,2,5,7,1,3] => [7,8,1,6,2,4,5,3] => [6,1,8,4,5,7,2,3] => 0000111
[6,2,4,5,8,3,7,1] => [7,6,8,2,4,5,3,1] => [8,2,4,5,6,3,7,1] => 0000111
[6,8,2,4,7,3,5,1] => [5,8,7,2,3,6,4,1] => [6,7,2,8,3,4,5,1] => 0001011
[4,6,8,2,5,7,3,1] => [3,7,8,4,1,6,5,2] => [4,6,8,1,5,7,3,2] => 0100011
[6,4,8,2,3,7,1,5] => [7,8,2,6,1,4,3,5] => [6,2,8,4,7,1,3,5] => 0000111
[8,6,2,4,1,7,3,5] => [4,6,8,3,2,7,1,5] => [7,3,8,6,2,4,1,5] => 0010111
[3,7,2,6,1,5,8,4] => [6,7,3,8,1,2,5,4] => [3,8,1,7,2,5,6,4] => 0000111
[7,5,1,6,2,4,8,3] => [5,7,6,3,8,2,4,1] => [8,3,6,2,4,7,5,1] => 0001111
[3,1,5,6,4,8,2,7] => [3,8,1,6,5,4,2,7] => [5,6,4,8,1,3,2,7] => 0100101
[2,4,8,5,6,7,3,1] => [3,2,7,4,8,5,6,1] => [2,4,8,5,6,7,3,1] => 0100011
[8,5,1,3,6,7,4,2] => [5,4,2,8,7,3,6,1] => [7,4,2,3,6,8,5,1] => 0011011
[2,5,4,7,6,1,3,8] => [6,2,1,5,4,7,3,8] => [2,5,4,7,6,1,3,8] => 0001110
[4,2,3,7,6,1,5,8] => [6,4,2,3,1,7,5,8] => [4,2,3,7,6,1,5,8] => 0010110
[5,6,2,3,1,7,8,4] => [3,6,2,8,5,1,7,4] => [5,7,8,2,3,1,6,4] => 0100101
[5,7,2,3,4,1,6,8] => [4,7,2,3,5,1,6,8] => [5,7,2,3,4,1,6,8] => 0010010
[8,5,2,3,1,6,4,7] => [3,5,2,8,6,4,1,7] => [6,4,8,5,2,3,1,7] => 0101101
[8,2,6,3,1,7,4,5] => [3,6,8,7,4,1,2,5] => [7,4,8,1,6,3,2,5] => 0100111
[1,6,3,4,2,7,5,8] => [1,4,6,3,7,2,5,8] => [1,7,3,4,2,6,5,8] => 0010110
[1,7,2,4,5,6,8,3] => [1,7,8,2,4,5,6,3] => [1,8,2,4,5,6,7,3] => 0000011
[7,2,8,1,4,6,3,5] => [8,7,6,1,3,4,2,5] => [6,1,7,3,4,8,2,5] => 0000111
[2,7,8,1,5,6,3,4] => [8,2,6,3,1,5,7,4] => [2,6,3,5,7,8,1,4] => 0000101
[5,8,2,3,1,6,4,7] => [3,8,2,6,5,1,4,7] => [5,6,2,3,1,8,4,7] => 0100101
[5,7,2,1,4,6,8,3] => [2,7,8,1,5,4,6,3] => [5,8,2,1,4,6,7,3] => 1000011
[4,2,7,1,5,6,8,3] => [7,4,8,2,1,5,6,3] => [8,2,4,1,5,6,7,3] => 0010011
[4,2,1,5,3,7,6,8] => [2,4,5,1,3,7,6,8] => [5,2,1,4,3,7,6,8] => 1011010
[5,1,3,8,4,6,7,2] => [5,7,1,8,3,4,6,2] => [8,1,3,6,7,4,5,2] => 0001011
[6,8,7,2,3,4,5,1] => [5,7,2,3,4,6,8,1] => [6,8,7,2,3,4,5,1] => 0001011
[5,2,3,7,4,6,1,8] => [6,5,2,7,3,4,1,8] => [7,2,3,5,4,6,1,8] => 0001110
[2,6,7,3,4,5,1,8] => [5,2,7,3,4,6,1,8] => [2,6,7,3,4,5,1,8] => 0001010
[3,8,4,5,2,1,6,7] => [2,5,3,8,4,1,6,7] => [3,8,4,5,2,1,6,7] => 1001001
[2,7,6,3,4,5,1,8] => [5,2,6,3,4,7,1,8] => [2,7,6,3,4,5,1,8] => 0001110
[3,1,2,9,4,5,6,7,8] => [3,1,2,9,4,5,6,7,8] => [3,1,2,9,4,5,6,7,8] => 01000001
[4,1,2,3,9,5,6,7,8] => [4,1,2,3,9,5,6,7,8] => [4,1,2,3,9,5,6,7,8] => 00100001
[5,1,2,3,4,9,6,7,8] => [5,1,2,3,4,9,6,7,8] => [5,1,2,3,4,9,6,7,8] => 00010001
[6,1,2,3,4,5,9,7,8] => [6,1,2,3,4,5,9,7,8] => [6,1,2,3,4,5,9,7,8] => 00001001
[2,1,10,3,4,5,6,7,8,9] => [2,1,10,3,4,5,6,7,8,9] => [2,1,10,3,4,5,6,7,8,9] => 100000001
[3,1,2,10,4,5,6,7,8,9] => [3,1,2,10,4,5,6,7,8,9] => [3,1,2,10,4,5,6,7,8,9] => 010000001
[4,1,2,3,10,5,6,7,8,9] => [4,1,2,3,10,5,6,7,8,9] => [4,1,2,3,10,5,6,7,8,9] => 001000001
[5,1,2,3,4,10,6,7,8,9] => [5,1,2,3,4,10,6,7,8,9] => [5,1,2,3,4,10,6,7,8,9] => 000100001
[6,1,2,3,4,5,10,7,8,9] => [6,1,2,3,4,5,10,7,8,9] => [6,1,2,3,4,5,10,7,8,9] => 000010001
[7,1,2,3,4,5,6,10,8,9] => [7,1,2,3,4,5,6,10,8,9] => [7,1,2,3,4,5,6,10,8,9] => 000001001
[4,5,7,2,8,3,6,1] => [6,7,8,4,5,3,2,1] => [4,5,8,3,7,2,6,1] => 0000111
[4,5,6,8,2,9,3,7,1] => [7,8,9,4,5,6,3,2,1] => [4,5,6,9,3,8,2,7,1] => 00000111
[7,4,5,6,3,9,2,8,1] => [8,9,6,7,4,5,3,2,1] => [7,4,5,6,3,9,2,8,1] => 00001111
[5,7,4,6,3,9,2,8,1] => [8,9,6,7,5,4,3,2,1] => [5,7,4,6,3,9,2,8,1] => 00001111
[8,3,9,4,7,2,10,5,6,1] => [6,7,8,9,10,5,4,3,2,1] => [10,5,9,4,8,3,7,2,6,1] => 000011111
[9,3,8,2,10,4,5,6,7,1] => [7,8,9,10,4,5,6,3,2,1] => [10,4,5,6,9,3,8,2,7,1] => 000001111
[5,6,8,4,7,3,10,2,9,1] => [9,10,7,8,5,6,4,3,2,1] => [5,6,8,4,7,3,10,2,9,1] => 000001111
[6,5,8,4,7,3,10,2,9,1] => [9,10,7,8,6,5,4,3,2,1] => [6,5,8,4,7,3,10,2,9,1] => 000011111
[6,2,5,3,7,8,1,4] => [8,6,5,1,2,3,7,4] => [5,1,6,2,7,8,3,4] => 0001101
[7,5,2,6,1,8,4,3] => [6,5,4,7,8,3,1,2] => [8,4,3,7,5,1,6,2] => 0011111
[7,5,6,8,1,2,4,3] => [8,1,4,2,7,5,6,3] => [4,1,2,7,5,6,8,3] => 0010011
[7,5,6,2,8,1,4,3] => [8,6,4,1,7,5,2,3] => [4,1,7,5,6,2,8,3] => 0010111
[7,5,1,3,6,8,4,2] => [5,4,2,7,8,3,6,1] => [8,4,2,3,6,7,5,1] => 0011011
[1,5,4,6,2,8,3,7] => [1,6,8,5,4,2,3,7] => [1,5,4,8,2,6,3,7] => 0001101
[7,5,6,8,2,4,3,1] => [3,4,8,1,7,5,6,2] => [7,5,6,8,1,4,3,2] => 0110011
[8,1,5,7,3,6,2,4] => [8,6,7,2,1,3,5,4] => [7,2,6,1,5,8,3,4] => 0000111
[8,5,3,7,4,1,2,6] => [4,1,7,5,8,3,2,6] => [8,5,3,7,4,1,2,6] => 0011011
[8,4,7,2,6,5,1,3] => [5,6,2,7,8,4,1,3] => [8,4,7,2,6,5,1,3] => 0001111
[8,5,7,3,2,6,1,4] => [6,3,7,1,8,2,5,4] => [8,3,1,7,5,6,2,4] => 0100111
[3,4,2,8,1,6,7,5] => [8,4,3,2,7,1,6,5] => [3,4,2,7,1,6,8,5] => 0010011
[4,3,7,5,1,6,2,8] => [5,7,4,3,6,2,1,8] => [4,3,6,2,7,5,1,8] => 0011110
[5,2,6,1,4,3,7,8] => [6,5,4,1,2,3,7,8] => [4,1,5,2,6,3,7,8] => 0011100
[3,5,2,8,6,7,4,1] => [4,7,3,5,1,8,6,2] => [3,5,1,8,6,7,4,2] => 0011011
[5,3,7,4,2,8,6,1] => [6,4,8,5,2,7,1,3] => [5,2,7,4,1,8,6,3] => 0011111
[4,6,3,5,2,7,8,1] => [8,5,6,4,3,2,7,1] => [4,6,3,5,2,7,8,1] => 0001101
[5,3,1,4,6,7,8,2] => [3,5,8,2,4,6,7,1] => [6,7,8,2,4,5,3,1] => 0101001
[4,6,2,1,3,7,8,5] => [2,6,1,4,8,3,7,5] => [4,7,8,2,1,3,6,5] => 1000101
[6,3,2,7,5,8,4,1] => [4,3,8,6,7,1,5,2] => [7,3,1,6,5,8,4,2] => 0110111
[2,5,4,1,3,6,7,8] => [4,2,1,5,3,6,7,8] => [2,5,4,1,3,6,7,8] => 0011000
[5,4,1,2,6,7,3,8] => [4,1,5,7,3,6,2,8] => [6,7,3,5,4,1,2,8] => 0011010
[3,4,5,6,7,8,9,10,1,11,2] => [10,11,3,4,5,6,7,8,9,1,2] => [3,4,5,6,7,8,9,11,1,10,2] => 0000000011
[6,3,4,1,7,8,2,5] => [4,8,6,3,2,1,7,5] => [6,3,7,8,2,4,1,5] => 0010101
[6,8,1,5,3,4,2,7] => [8,4,5,3,1,6,2,7] => [5,3,4,1,6,8,2,7] => 0011001
[6,2,8,3,4,7,1,5] => [7,6,8,3,1,2,4,5] => [8,3,6,1,7,2,4,5] => 0000111
[5,7,3,6,1,4,2,8] => [6,4,7,1,5,3,2,8] => [5,7,1,4,3,6,2,8] => 0010110
[7,3,4,8,2,5,1,6] => [5,8,7,3,2,1,4,6] => [7,3,8,2,5,1,4,6] => 0001011
[6,8,1,5,4,2,3,7] => [8,4,2,5,1,6,3,7] => [5,4,2,6,8,1,3,7] => 0011001
[6,2,4,7,3,1,5,8] => [3,7,6,1,2,4,5,8] => [6,1,7,3,2,4,5,8] => 0100110
[6,2,3,8,5,1,4,7] => [5,8,1,2,6,3,4,7] => [6,1,8,5,2,3,4,7] => 0001101
[6,2,5,1,3,8,4,7] => [5,6,1,8,2,3,4,7] => [8,1,6,2,3,5,4,7] => 0001101
[5,1,2,8,4,6,3,7] => [5,1,6,8,2,4,3,7] => [8,1,2,6,4,5,3,7] => 0001101
[5,1,3,7,4,6,2,8] => [5,6,1,7,3,4,2,8] => [7,1,3,6,4,5,2,8] => 0001110
[5,1,4,6,2,8,3,7] => [5,6,8,1,4,2,3,7] => [8,1,4,6,2,5,3,7] => 0001101
[3,2,4,6,5,8,1,7] => [8,3,2,4,6,5,1,7] => [3,2,4,6,5,8,1,7] => 0100101
[7,5,2,1,6,3,4,8] => [2,5,7,1,6,3,4,8] => [6,2,1,7,5,3,4,8] => 1001110
[7,2,8,1,5,6,4,3] => [8,7,4,6,1,5,2,3] => [6,4,1,5,7,2,8,3] => 0010111
[7,5,6,1,4,8,2,3] => [6,8,2,1,7,5,4,3] => [7,5,8,2,4,6,1,3] => 0000111
[5,7,2,6,3,8,4,1] => [4,8,7,6,5,3,1,2] => [5,6,3,7,1,8,4,2] => 0010111
[8,4,1,2,3,6,7,5] => [4,1,2,8,7,3,6,5] => [7,4,1,2,3,6,8,5] => 0010011
[5,6,4,2,1,8,3,7] => [2,4,6,8,5,3,1,7] => [5,8,3,6,4,2,1,7] => 1010101
[6,8,1,3,2,7,5,4] => [8,3,1,5,7,6,2,4] => [3,1,6,7,5,2,8,4] => 0101011
[7,2,4,3,8,1,5,6] => [8,7,4,2,1,5,3,6] => [4,2,7,1,5,8,3,6] => 0010011
[2,5,4,6,1,3,8,7] => [6,2,1,5,4,3,8,7] => [2,5,4,6,1,3,8,7] => 0001101
[8,2,5,7,3,4,6,1] => [6,8,7,3,2,4,5,1] => [7,3,8,2,4,5,6,1] => 0000111
[5,2,7,4,8,6,3,1] => [3,6,5,8,1,7,2,4] => [7,1,5,3,2,8,6,4] => 0101111
[6,1,2,4,3,5,7,8] => [6,1,4,2,3,5,7,8] => [4,1,2,6,3,5,7,8] => 0010100
[8,5,6,1,4,2,7,3] => [6,4,7,1,8,5,2,3] => [8,5,7,1,4,2,6,3] => 0010111
[5,8,6,1,4,2,7,3] => [6,4,8,3,5,7,2,1] => [5,7,3,4,2,8,6,1] => 0010111
[6,5,8,2,7,3,4,1] => [4,8,7,3,6,5,2,1] => [6,5,7,3,8,2,4,1] => 0010111
[1,7,6,8,4,3,2,5] => [1,3,4,8,2,7,6,5] => [1,7,6,8,4,3,2,5] => 0110011
[6,4,5,7,1,3,2,8] => [7,3,1,6,4,5,2,8] => [3,1,6,4,5,7,2,8] => 0100110
[6,1,2,4,3,5,8,7] => [6,1,4,2,3,5,8,7] => [4,1,2,6,3,5,8,7] => 0010101
[7,4,5,8,2,3,6,1] => [6,8,2,7,4,3,5,1] => [7,4,8,2,3,5,6,1] => 0000111
[6,3,5,2,7,1,4,8] => [7,5,6,1,3,2,4,8] => [6,1,5,3,7,2,4,8] => 0001110
[8,5,2,6,7,1,4,3] => [7,5,4,1,8,2,6,3] => [4,1,8,5,2,6,7,3] => 0011011
[6,4,5,3,1,8,7,2] => [3,5,7,6,4,2,8,1] => [6,4,8,7,2,5,3,1] => 0101111
[3,8,6,4,7,1,2,5] => [7,1,3,6,2,8,4,5] => [3,8,6,1,2,7,4,5] => 0000111
[1,8,7,5,4,3,2,6] => [1,3,4,5,7,2,8,6] => [1,8,7,5,4,3,2,6] => 0111011
[8,6,4,7,1,3,2,5] => [7,3,1,6,2,8,4,5] => [3,1,8,6,2,7,4,5] => 0100111
[5,3,4,1,6,2,7,8] => [4,6,5,3,1,2,7,8] => [5,3,6,1,4,2,7,8] => 0011100
[6,1,5,8,2,7,4,3] => [6,8,4,7,1,5,2,3] => [7,4,1,5,8,2,6,3] => 0010111
[7,1,2,3,6,4,5,8] => [7,1,2,6,4,3,5,8] => [6,4,7,1,2,3,5,8] => 0000110
[6,3,1,8,5,4,7,2] => [3,6,7,5,8,2,4,1] => [8,5,2,7,4,6,3,1] => 0101111
[6,1,3,8,7,4,5,2] => [6,5,1,7,4,3,8,2] => [8,7,4,5,1,3,6,2] => 0001111
[8,2,5,6,1,3,7,4] => [6,8,1,7,2,5,3,4] => [7,1,5,8,2,3,6,4] => 0000111
[8,5,1,7,6,3,2,4] => [5,3,8,1,6,7,2,4] => [7,6,3,1,8,5,2,4] => 0101111
[6,8,7,2,1,3,5,4] => [2,7,1,5,3,6,8,4] => [5,2,1,3,6,8,7,4] => 1001011
[5,7,2,8,1,3,6,4] => [8,7,1,6,5,3,2,4] => [5,6,1,3,7,2,8,4] => 0000111
[3,1,4,8,2,7,6,5] => [3,8,1,4,6,7,2,5] => [4,7,6,1,3,2,8,5] => 0100111
[5,4,1,2,6,3,8,7] => [4,1,5,6,3,2,8,7] => [6,3,5,4,1,2,8,7] => 0011101
[6,3,1,4,8,7,2,5] => [3,6,7,2,1,4,8,5] => [8,7,2,6,3,1,4,5] => 0100111
[8,4,5,1,7,3,2,6] => [5,3,7,8,4,2,1,6] => [8,4,7,3,2,5,1,6] => 0101011
[2,7,8,4,1,3,6,5] => [4,2,1,8,6,3,7,5] => [2,6,4,1,3,7,8,5] => 0010101
[2,4,6,5,7,8,1,3] => [8,2,1,4,6,5,7,3] => [2,4,6,5,7,8,1,3] => 0000101
[2,4,6,3,7,8,1,5] => [8,2,6,4,1,3,7,5] => [2,4,6,1,7,8,3,5] => 0000101
[2,4,5,6,8,7,1,3] => [7,2,1,4,5,6,8,3] => [2,4,5,6,8,7,1,3] => 0000011
[2,4,5,6,8,3,7,1] => [7,2,8,4,5,6,3,1] => [2,4,5,6,8,3,7,1] => 0000011
[2,3,4,6,8,5,1,7] => [5,2,3,4,8,6,1,7] => [2,3,4,6,8,5,1,7] => 0001001
[8,6,5,1,4,2,7,3] => [5,4,6,1,8,7,2,3] => [7,1,4,2,8,6,5,3] => 0011111
[1,6,3,5,8,4,7,2] => [1,7,6,8,3,5,4,2] => [1,8,3,5,6,4,7,2] => 0000111
[5,2,8,3,4,1,6,7] => [4,5,8,3,2,1,6,7] => [8,3,5,2,4,1,6,7] => 0011001
[3,6,4,1,2,7,8,5] => [4,1,3,6,8,2,7,5] => [3,7,8,4,1,2,6,5] => 0010101
[5,3,6,4,1,8,2,7] => [4,6,8,5,1,2,3,7] => [5,1,8,2,6,4,3,7] => 0011101
[4,5,2,1,6,3,7,8] => [2,5,6,4,1,3,7,8] => [4,6,2,1,5,3,7,8] => 1001100
[4,6,8,7,1,3,2,5] => [7,3,1,4,2,6,8,5] => [3,1,4,6,8,7,2,5] => 0100011
[4,7,6,8,3,1,2,5] => [3,1,8,4,2,7,6,5] => [4,7,6,8,3,1,2,5] => 0100011
[3,2,1,6,5,8,4,7] => [2,3,1,8,6,5,4,7] => [3,2,1,6,5,8,4,7] => 1100101
[6,3,1,4,5,8,2,7] => [3,6,8,2,4,5,1,7] => [8,2,4,5,6,3,1,7] => 0100101
[4,8,7,1,3,2,6,5] => [7,3,1,4,6,2,8,5] => [3,1,4,6,2,8,7,5] => 0100111
[3,4,1,8,7,6,2,5] => [4,6,3,1,2,7,8,5] => [3,8,7,6,1,4,2,5] => 0010111
[4,6,1,3,2,8,5,7] => [6,3,1,4,8,2,5,7] => [3,1,4,8,2,6,5,7] => 0100101
[2,6,5,8,3,1,4,7] => [3,2,8,1,6,5,4,7] => [2,6,5,8,3,1,4,7] => 0100101
[6,7,8,2,4,5,3,1] => [3,5,8,1,4,6,7,2] => [6,7,8,1,4,5,3,2] => 0101001
[8,3,6,4,2,7,1,5] => [7,4,6,8,1,2,3,5] => [8,1,6,4,2,7,3,5] => 0010111
[2,6,4,7,8,5,1,3] => [5,2,1,8,6,3,7,4] => [2,6,1,3,7,8,5,4] => 0001101
[8,6,3,7,1,4,2,5] => [7,4,6,1,2,8,3,5] => [8,6,1,4,2,7,3,5] => 0010111
[3,1,2,8,7,6,4,5] => [3,1,2,6,4,7,8,5] => [3,1,2,8,7,6,4,5] => 0100111
[8,5,4,1,2,3,7,6] => [4,1,2,5,8,7,3,6] => [7,5,4,1,2,3,8,6] => 0011011
[8,3,2,1,6,4,7,5] => [2,3,8,6,7,1,4,5] => [7,3,2,1,6,4,8,5] => 1100111
[4,6,1,3,2,7,8,5] => [6,3,1,4,8,2,7,5] => [3,1,4,7,8,2,6,5] => 0100101
[6,7,2,5,8,4,1,3] => [4,8,2,7,1,6,5,3] => [6,7,2,5,8,4,1,3] => 0010011
[3,4,6,7,1,5,8,2] => [7,8,3,4,1,6,5,2] => [3,4,6,8,1,5,7,2] => 0000011
[3,4,5,7,8,1,6,2] => [8,6,3,4,5,1,7,2] => [3,4,5,6,1,7,8,2] => 0000101
[1,5,6,2,7,8,4,3] => [1,6,4,8,5,2,7,3] => [1,5,7,8,4,2,6,3] => 0010101
[4,2,1,8,6,7,5,3] => [2,4,5,1,7,8,6,3] => [8,6,7,5,2,1,4,3] => 1011011
[2,7,8,6,5,3,1,4] => [3,2,5,1,6,8,7,4] => [2,7,8,6,5,3,1,4] => 0101101
[6,5,7,1,2,4,8,3] => [7,1,8,2,6,5,4,3] => [6,5,8,1,2,4,7,3] => 0000111
[8,6,2,5,3,4,1,7] => [4,6,5,3,2,8,1,7] => [5,3,8,6,2,4,1,7] => 0011101
[5,2,4,6,7,8,1,3] => [8,5,1,2,4,6,7,3] => [5,1,4,6,7,8,2,3] => 0001001
[8,1,4,6,5,7,3,2] => [8,3,7,1,6,4,5,2] => [6,3,1,4,7,5,8,2] => 0100111
[2,8,3,5,6,1,4,7] => [6,2,8,1,3,5,4,7] => [2,8,1,5,6,3,4,7] => 0000101
[2,3,7,5,8,1,4,6] => [8,2,3,1,7,4,5,6] => [2,3,7,1,4,8,5,6] => 0000011
[3,2,8,5,6,1,4,7] => [6,3,2,1,8,5,4,7] => [3,2,8,5,6,1,4,7] => 0100101
[4,7,5,8,1,2,6,3] => [8,1,6,4,7,2,5,3] => [4,7,1,2,6,5,8,3] => 0000111
[4,7,5,8,1,2,3,6] => [8,1,2,4,7,3,5,6] => [4,7,1,2,3,8,5,6] => 0000011
[2,5,4,7,3,8,1,6] => [8,2,7,5,4,1,3,6] => [2,5,4,7,1,8,3,6] => 0001011
[3,7,8,4,2,1,6,5] => [2,4,3,8,6,1,7,5] => [3,6,4,2,1,7,8,5] => 1010101
[4,8,2,7,6,3,1,5] => [3,6,7,4,1,8,2,5] => [4,8,1,7,6,3,2,5] => 0100111
[1,4,8,2,7,5,6,3] => [1,8,6,4,7,5,2,3] => [1,4,7,5,6,2,8,3] => 0000111
[2,4,1,8,3,7,6,5] => [4,2,8,1,6,7,3,5] => [2,7,6,1,4,3,8,5] => 0010111
[1,5,4,8,7,6,2,3] => [1,6,2,5,4,7,8,3] => [1,5,4,8,7,6,2,3] => 0001111
[4,3,8,5,1,6,2,7] => [5,8,4,3,6,2,1,7] => [4,3,6,2,8,5,1,7] => 0011101
[1,4,7,8,2,5,3,6] => [1,8,5,4,2,3,7,6] => [1,4,5,2,7,8,3,6] => 0001001
[3,6,8,4,2,7,1,5] => [7,4,3,8,1,6,2,5] => [3,6,8,4,1,7,2,5] => 0010011
[1,4,7,6,3,8,2,5] => [1,8,6,4,2,7,3,5] => [1,4,7,6,2,8,3,5] => 0000111
[7,4,1,6,2,8,5,3] => [4,7,6,5,8,2,3,1] => [8,5,2,6,3,7,4,1] => 0011111
[1,3,6,8,2,4,7,5] => [1,8,3,2,7,6,4,5] => [1,3,6,7,2,4,8,5] => 0000011
[1,6,7,4,3,8,2,5] => [1,8,4,7,2,6,3,5] => [1,6,7,4,2,8,3,5] => 0010011
[7,3,1,6,5,2,8,4] => [3,7,5,6,8,2,4,1] => [8,2,6,5,4,7,3,1] => 0101111
[4,6,1,8,5,2,7,3] => [6,5,8,4,7,1,3,2] => [4,7,1,8,5,3,6,2] => 0001111
[4,8,5,1,6,2,7,3] => [5,8,6,4,7,2,3,1] => [4,7,2,6,3,8,5,1] => 0001111
[5,7,3,1,6,2,8,4] => [3,7,6,8,5,2,1,4] => [5,8,2,6,3,1,7,4] => 0100111
[5,6,3,1,7,2,8,4] => [3,6,7,8,5,2,1,4] => [5,8,2,7,3,1,6,4] => 0100111
[4,7,2,8,5,1,6,3] => [5,8,7,4,6,2,3,1] => [4,6,2,7,3,8,5,1] => 0001111
[4,6,1,7,2,8,5,3] => [6,7,5,4,8,1,2,3] => [4,8,5,1,7,2,6,3] => 0001111
[7,8,6,2,1,5,4,3] => [2,6,4,5,1,8,7,3] => [5,4,2,1,7,8,6,3] => 1011101
[2,1,3,7,5,8,6,4] => [2,1,3,6,8,7,4,5] => [2,1,3,7,4,8,6,5] => 1000111
[7,6,8,4,2,5,1,3] => [5,4,1,8,2,7,6,3] => [7,6,8,4,1,5,2,3] => 0011011
[1,6,5,7,4,8,3,9,2] => [1,9,8,7,6,5,4,3,2] => [1,6,5,7,4,8,3,9,2] => 00001111
[5,4,6,3,8,2,7,1,9] => [7,8,6,5,4,3,2,1,9] => [5,4,6,3,8,2,7,1,9] => 00011110
[1,6,7,5,8,4,9,3,10,2] => [1,10,9,8,7,6,5,4,3,2] => [1,6,7,5,8,4,9,3,10,2] => 000001111
[6,5,7,4,8,3,9,2,10,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => [6,5,7,4,8,3,9,2,10,1,11] => 0000111110
[1,6,4,7,3,8,5,2] => [1,5,8,7,6,2,4,3] => [1,6,2,7,4,8,5,3] => 0001111
[1,7,6,8,5,9,4,10,3,11,2] => [1,11,10,9,8,7,6,5,4,3,2] => [1,7,6,8,5,9,4,10,3,11,2] => 0000011111
[3,4,5,6,7,8,2,1,9] => [2,8,3,4,5,6,7,1,9] => [3,4,5,6,7,8,2,1,9] => 10000010
[4,8,1,6,3,7,2,5] => [8,7,6,4,2,1,3,5] => [4,6,2,7,1,8,3,5] => 0000111
[6,4,2,5,8,7,1,3] => [7,4,1,6,2,5,8,3] => [6,4,1,5,8,7,2,3] => 0010111
[8,5,4,1,6,3,7,2] => [4,5,8,7,6,3,2,1] => [6,3,7,2,8,5,4,1] => 0011111
[5,7,3,2,4,8,6,1] => [6,3,8,1,5,7,4,2] => [5,7,3,1,4,8,6,2] => 0100111
[2,6,8,5,4,3,1,7] => [3,2,4,5,8,6,1,7] => [2,6,8,5,4,3,1,7] => 0111001
[8,3,1,4,2,5,6,7] => [3,8,4,2,1,5,6,7] => [4,2,8,3,1,5,6,7] => 0110001
[2,6,4,8,5,3,1,7] => [3,2,5,8,6,1,4,7] => [2,6,3,1,8,5,4,7] => 0101101
[3,8,1,4,6,5,2,7] => [8,5,3,1,6,4,2,7] => [3,6,5,1,4,8,2,7] => 0001101
[4,6,1,8,5,3,2,7] => [6,3,5,4,8,1,2,7] => [4,8,5,3,1,6,2,7] => 0101101
[1,4,7,8,6,3,5,2] => [1,5,6,4,3,8,7,2] => [1,4,7,8,6,3,5,2] => 0001101
[6,8,1,5,4,7,2,3] => [8,7,2,5,1,6,4,3] => [5,2,6,7,4,8,1,3] => 0001011
[7,6,2,4,8,5,1,3] => [5,8,2,1,6,7,4,3] => [7,6,2,4,8,5,1,3] => 0001111
[4,6,8,7,3,1,2,5] => [3,1,7,4,2,6,8,5] => [4,6,8,7,3,1,2,5] => 0100011
[7,8,4,6,2,3,5,1] => [5,6,2,8,3,4,7,1] => [7,8,2,3,6,4,5,1] => 0001101
[7,3,4,5,2,1,8,6] => [2,5,7,3,4,8,1,6] => [8,3,4,5,2,1,7,6] => 1001011
[4,7,5,2,6,3,8,1] => [8,5,7,4,6,3,2,1] => [4,6,3,7,5,2,8,1] => 0001111
[3,5,6,2,8,1,4,7] => [8,6,3,1,5,2,4,7] => [3,5,6,1,8,2,4,7] => 0000101
[4,8,5,2,6,3,7,1] => [7,5,8,4,6,3,2,1] => [4,6,3,8,5,2,7,1] => 0001111
[3,1,8,6,7,2,5,4] => [3,7,1,5,2,8,6,4] => [5,1,3,2,8,6,7,4] => 0101011
[7,1,5,6,8,4,2,3] => [7,4,2,8,1,5,6,3] => [8,4,2,5,6,7,1,3] => 0010011
[8,1,2,5,6,4,7,3] => [8,1,7,6,2,5,4,3] => [6,1,2,5,7,4,8,3] => 0000111
[6,1,8,2,4,3,5,7] => [6,8,4,2,3,1,5,7] => [4,2,8,3,6,1,5,7] => 0010101
[1,6,8,2,5,3,4,7] => [1,8,5,3,2,6,4,7] => [1,5,3,6,8,2,4,7] => 0001001
[8,5,2,7,3,6,4,1] => [4,6,5,8,7,3,1,2] => [7,3,8,5,1,6,4,2] => 0011111
[3,6,4,1,8,2,5,7] => [4,6,3,8,1,2,5,7] => [3,8,1,6,4,2,5,7] => 0010101
[8,7,6,2,4,5,1,3] => [5,6,1,2,4,7,8,3] => [8,7,6,1,4,5,2,3] => 0001111
[8,7,6,2,4,5,3,1] => [3,5,6,1,4,7,8,2] => [8,7,6,1,4,5,3,2] => 0101111
[1,8,7,5,4,2,6,3] => [1,4,5,7,6,2,8,3] => [1,6,2,8,7,5,4,3] => 0011111
[8,1,2,6,5,4,7,3] => [8,1,7,5,6,2,4,3] => [6,5,1,2,7,4,8,3] => 0001111
[2,5,6,4,3,8,1,7] => [8,2,4,6,5,3,1,7] => [2,5,6,4,3,8,1,7] => 0010101
[8,6,3,5,2,1,4,7] => [2,5,6,1,3,8,4,7] => [8,6,2,1,5,3,4,7] => 1001101
[4,6,3,1,8,2,5,7] => [3,6,8,4,1,2,5,7] => [4,8,1,6,3,2,5,7] => 0100101
[8,4,5,2,1,7,3,6] => [2,5,7,8,4,3,1,6] => [8,4,7,3,5,2,1,6] => 1001011
[3,2,1,7,4,8,6,5] => [2,3,1,7,6,8,4,5] => [3,2,1,8,6,4,7,5] => 1100111
[7,5,3,4,2,8,6,1] => [6,4,5,1,8,7,2,3] => [7,5,1,4,2,8,6,3] => 0011111
[4,6,3,8,5,2,7,1] => [7,5,8,4,6,2,3,1] => [4,6,2,8,5,3,7,1] => 0001111
[5,2,8,3,1,6,7,4] => [3,8,5,7,1,2,6,4] => [7,1,5,3,2,6,8,4] => 0101011
[3,7,2,4,5,6,1,8] => [6,7,3,2,4,5,1,8] => [3,7,2,4,5,6,1,8] => 0000110
[7,8,6,5,1,3,4,2] => [5,4,1,3,6,8,7,2] => [4,1,3,7,8,6,5,2] => 0011101
[5,7,6,2,1,8,3,4] => [2,6,7,1,5,8,3,4] => [5,8,2,1,7,6,3,4] => 1000111
[3,2,7,4,8,5,6,1] => [6,3,2,7,8,5,4,1] => [3,2,8,5,7,4,6,1] => 0100111
[7,2,5,1,6,3,8,4] => [5,7,6,8,2,1,3,4] => [8,2,6,1,7,3,5,4] => 0001111
[6,3,8,5,4,2,7,1] => [7,4,5,8,6,3,2,1] => [6,3,8,5,4,2,7,1] => 0011111
[1,5,3,8,7,4,6,2] => [1,6,5,7,3,4,8,2] => [1,8,7,3,5,4,6,2] => 0001111
[5,8,2,7,4,6,3,1] => [3,6,8,7,5,4,1,2] => [5,7,4,8,1,6,3,2] => 0100111
[7,8,5,1,6,4,3,2] => [5,3,4,8,6,2,7,1] => [6,4,3,2,7,8,5,1] => 0111101
[7,2,6,3,4,8,1,5] => [8,7,6,3,1,2,4,5] => [6,3,7,1,8,2,4,5] => 0000111
[1,8,5,2,4,3,7,6] => [1,5,4,2,8,7,3,6] => [1,4,2,7,5,3,8,6] => 0011011
[4,5,2,6,8,7,3,1] => [3,7,5,4,1,6,8,2] => [4,5,1,6,8,7,3,2] => 0101011
[4,7,6,3,1,5,2,8] => [3,6,5,4,2,7,1,8] => [4,5,2,7,6,3,1,8] => 0101110
[3,7,8,1,4,5,6,2] => [8,6,3,1,4,5,7,2] => [3,6,1,4,5,7,8,2] => 0000101
[1,8,4,2,7,5,6,3] => [1,4,8,6,7,5,3,2] => [1,7,5,6,3,8,4,2] => 0010111
[1,3,8,7,4,5,6,2] => [1,6,3,7,4,5,8,2] => [1,3,8,7,4,5,6,2] => 0000111
[3,2,8,7,4,5,6,1] => [6,3,2,7,4,5,8,1] => [3,2,8,7,4,5,6,1] => 0100111
[6,2,4,3,7,5,8,1] => [8,6,4,2,7,3,5,1] => [4,2,7,3,6,5,8,1] => 0010111
[6,4,2,5,1,7,8,3] => [5,4,6,8,3,1,7,2] => [7,8,3,6,4,1,5,2] => 0011101
[3,8,2,1,5,7,6,4] => [2,8,3,6,1,7,5,4] => [3,7,6,2,1,5,8,4] => 1000111
[1,8,3,2,5,7,6,4] => [1,3,8,6,2,7,5,4] => [1,7,6,3,2,5,8,4] => 0100111
[7,5,2,8,3,1,6,4] => [3,8,5,7,6,2,4,1] => [6,2,7,5,4,8,3,1] => 0101111
[1,8,4,7,3,5,6,2] => [1,6,7,8,3,5,4,2] => [1,8,3,5,7,4,6,2] => 0000111
[5,4,2,7,3,8,6,1] => [6,4,5,8,3,7,1,2] => [7,3,5,4,1,8,6,2] => 0011111
[5,7,2,1,3,8,6,4] => [2,7,1,6,5,8,3,4] => [5,8,6,2,1,3,7,4] => 1000111
[4,6,3,7,8,1,2,5] => [8,1,6,4,2,3,7,5] => [4,6,1,2,7,8,3,5] => 0000101
[8,3,5,4,7,1,2,6] => [7,1,8,5,3,2,4,6] => [5,3,8,1,2,7,4,6] => 0001011
[6,2,5,4,1,7,8,3] => [4,5,6,8,3,2,7,1] => [7,8,3,6,2,5,4,1] => 0011101
[8,5,1,6,3,2,4,7] => [5,3,8,1,6,2,4,7] => [6,3,1,8,5,2,4,7] => 0101101
[8,1,6,5,3,2,4,7] => [8,3,5,2,6,1,4,7] => [6,5,3,2,8,1,4,7] => 0101101
[8,1,5,4,6,7,3,2] => [8,3,7,5,1,4,6,2] => [5,3,1,7,4,6,8,2] => 0101011
[2,8,5,1,3,7,6,4] => [5,2,1,8,6,7,4,3] => [2,7,6,4,8,5,1,3] => 0001111
[2,4,5,8,3,7,6,1] => [6,2,7,4,5,8,1,3] => [2,4,5,8,1,7,6,3] => 0000111
[8,3,5,4,1,7,6,2] => [4,5,6,7,3,8,2,1] => [8,3,7,6,2,5,4,1] => 0011111
[8,2,3,4,1,6,5,7] => [4,8,2,3,6,1,5,7] => [6,2,3,4,1,8,5,7] => 0010101
[8,1,4,6,3,2,5,7] => [8,3,6,1,2,4,5,7] => [6,3,1,8,2,4,5,7] => 0100101
[5,6,4,1,8,2,7,3] => [4,6,8,7,5,2,3,1] => [5,7,2,8,3,6,4,1] => 0010111
[2,5,4,1,8,3,7,6] => [4,2,5,8,3,7,1,6] => [2,7,3,5,4,1,8,6] => 0011011
[8,4,1,2,7,6,5,3] => [4,1,8,5,6,7,3,2] => [7,6,5,3,8,4,1,2] => 0011111
[4,8,3,2,7,6,5,1] => [5,3,6,4,7,8,2,1] => [4,8,3,2,7,6,5,1] => 0101111
[4,3,1,2,6,5,8,7,9] => [3,1,4,2,6,5,8,7,9] => [4,3,1,2,6,5,8,7,9] => 01101010
[6,5,3,1,2,4,8,7,9] => [3,1,5,2,6,4,8,7,9] => [6,5,3,1,2,4,8,7,9] => 01011010
[8,7,5,3,1,2,4,6,9] => [3,1,5,2,7,4,8,6,9] => [8,7,5,3,1,2,4,6,9] => 01010110
[7,5,3,1,2,4,6,9,8] => [3,1,5,2,7,4,6,9,8] => [7,5,3,1,2,4,6,9,8] => 01010101
[5,3,1,2,4,7,6,9,8] => [3,1,5,2,4,7,6,9,8] => [5,3,1,2,4,7,6,9,8] => 01010101
[6,5,3,1,2,4,8,7,10,9] => [3,1,5,2,6,4,8,7,10,9] => [6,5,3,1,2,4,8,7,10,9] => 010110101
[8,7,5,3,1,2,4,6,10,9] => [3,1,5,2,7,4,8,6,10,9] => [8,7,5,3,1,2,4,6,10,9] => 010101101
[10,9,7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,9,6,10,8] => [10,9,7,5,3,1,2,4,6,8] => 010101011
[5,3,1,2,4,6,8,7] => [3,1,5,2,4,6,8,7] => [5,3,1,2,4,6,8,7] => 0101001
[8,5,7,3,1,2,4,6] => [3,1,7,2,8,4,5,6] => [8,3,1,2,4,7,5,6] => 0100011
[7,5,3,1,2,4,6,8,9] => [3,1,5,2,7,4,6,8,9] => [7,5,3,1,2,4,6,8,9] => 01010100
[3,1,2,8,7,5,4,6] => [3,1,2,5,7,4,8,6] => [3,1,2,8,7,5,4,6] => 0101011
[5,3,1,2,4,9,7,6,8] => [3,1,5,2,4,7,9,6,8] => [5,3,1,2,4,9,7,6,8] => 01010101
[7,5,3,1,2,4,6,9,8,10] => [3,1,5,2,7,4,6,9,8,10] => [7,5,3,1,2,4,6,9,8,10] => 010101010
[3,1,2,7,5,4,6,9,8] => [3,1,2,5,7,4,6,9,8] => [3,1,2,7,5,4,6,9,8] => 01010101
[5,3,1,2,4,7,6,9,8,10] => [3,1,5,2,4,7,6,9,8,10] => [5,3,1,2,4,7,6,9,8,10] => 010101010
[1,5,3,2,4,7,6,9,8] => [1,3,5,2,4,7,6,9,8] => [1,5,3,2,4,7,6,9,8] => 01010101
[5,1,3,2,8,4,6,7] => [5,3,1,8,2,4,6,7] => [3,1,8,2,5,4,6,7] => 0101001
[1,8,3,4,7,5,2,6] => [1,5,7,2,8,3,4,6] => [1,8,2,7,5,3,4,6] => 0001011
[6,7,1,5,2,8,4,3] => [7,5,4,8,1,6,2,3] => [6,8,4,1,5,2,7,3] => 0011011
[2,7,3,4,8,6,5,1] => [5,2,6,3,8,7,4,1] => [2,7,3,4,8,6,5,1] => 0001111
[1,8,2,4,7,3,6,5] => [1,8,7,2,6,3,4,5] => [1,6,2,7,3,4,8,5] => 0000111
[2,7,4,3,5,8,6,1] => [6,2,4,8,1,7,5,3] => [2,7,4,1,5,8,6,3] => 0010111
[8,7,3,6,2,1,4,5] => [2,6,7,1,4,3,8,5] => [8,7,2,1,4,6,3,5] => 1000111
[2,1,5,8,3,4,7,6] => [2,1,8,3,5,7,4,6] => [2,1,5,7,3,4,8,6] => 1000011
[8,5,6,2,4,7,1,3] => [7,6,1,2,8,5,4,3] => [8,5,6,1,4,7,2,3] => 0000111
[6,3,1,5,8,2,7,4] => [3,6,8,7,2,5,1,4] => [7,2,5,8,3,1,6,4] => 0100111
[5,6,1,7,3,4,8,2] => [6,8,7,3,5,1,4,2] => [5,7,3,8,1,4,6,2] => 0000111
[4,8,5,6,7,1,3,2] => [7,3,1,4,8,5,6,2] => [3,1,4,8,5,6,7,2] => 0100011
[1,3,4,6,8,2,7,5] => [1,8,3,4,7,6,2,5] => [1,3,4,6,7,2,8,5] => 0000011
[2,6,7,3,8,4,5,1] => [5,2,7,8,4,6,3,1] => [2,6,8,4,7,3,5,1] => 0001011
[2,7,6,4,3,8,5,1] => [5,2,4,8,6,7,1,3] => [2,7,6,4,1,8,5,3] => 0011111
[3,8,6,2,7,5,4,1] => [4,5,3,7,6,8,2,1] => [3,8,6,2,7,5,4,1] => 0011111
[3,1,7,6,5,2,4,8] => [3,5,1,2,6,7,4,8] => [7,6,5,1,3,2,4,8] => 0101110
[4,8,1,6,2,5,3,7] => [8,6,5,4,2,1,3,7] => [4,5,2,6,1,8,3,7] => 0001101
[6,8,2,7,5,1,3,4] => [5,7,2,3,8,6,1,4] => [6,8,2,3,7,5,1,4] => 0001011
[5,8,3,1,2,4,6,7] => [3,1,8,2,5,4,6,7] => [5,8,3,1,2,4,6,7] => 0100001
[1,4,8,5,2,3,6,7] => [1,5,2,4,8,3,6,7] => [1,4,8,5,2,3,6,7] => 0001001
[1,4,8,5,2,3,7,6] => [1,5,2,4,8,7,3,6] => [1,4,7,5,2,3,8,6] => 0001011
[7,2,5,8,1,4,3,6] => [8,7,4,1,2,3,5,6] => [4,1,7,2,8,3,5,6] => 0010011
[7,1,4,2,6,8,3,5] => [7,4,8,1,3,2,6,5] => [8,1,4,3,6,7,2,5] => 0010011
[1,7,5,8,6,2,3,4] => [1,6,2,3,8,7,4,5] => [1,7,2,3,4,8,6,5] => 0000111
[8,4,7,1,2,6,3,5] => [7,1,6,8,3,2,4,5] => [8,3,6,1,2,7,4,5] => 0000111
[1,5,8,7,2,4,3,6] => [1,7,4,2,5,3,8,6] => [1,4,2,5,8,7,3,6] => 0010011
[1,2,8,7,3,5,4,6] => [1,2,7,5,3,4,8,6] => [1,2,5,3,8,7,4,6] => 0001011
[8,7,1,3,2,5,4,6] => [7,3,1,5,2,4,8,6] => [3,1,5,2,8,7,4,6] => 0101011
[3,7,1,2,6,8,4,5] => [7,1,3,8,4,2,6,5] => [3,8,4,6,7,1,2,5] => 0000011
[6,7,4,2,8,1,3,5] => [8,4,1,7,3,6,2,5] => [6,7,4,1,3,8,2,5] => 0010011
[4,7,5,6,2,8,3,1] => [3,8,6,4,7,5,1,2] => [4,7,5,6,1,8,3,2] => 0100111
[8,4,3,6,7,5,2,1] => [2,5,4,7,8,1,6,3] => [8,4,2,1,6,7,5,3] => 1011011
[6,8,4,3,2,7,5,1] => [5,3,4,7,8,6,1,2] => [6,8,4,3,1,7,5,2] => 0111011
[2,1,4,3,6,5,9,7,10,8] => [2,1,4,3,6,5,9,10,7,8] => [2,1,4,3,6,5,10,7,9,8] => 101010011
[2,1,4,3,7,5,8,6,10,9] => [2,1,4,3,7,8,5,6,10,9] => [2,1,4,3,8,5,7,6,10,9] => 101001101
[2,1,5,3,6,4,8,7,10,9] => [2,1,5,6,3,4,8,7,10,9] => [2,1,6,3,5,4,8,7,10,9] => 100110101
[2,1,5,3,6,4,9,7,10,8] => [2,1,5,6,3,4,9,10,7,8] => [2,1,6,3,5,4,10,7,9,8] => 100110011
[3,1,4,2,6,5,9,7,10,8] => [3,4,1,2,6,5,9,10,7,8] => [4,1,3,2,6,5,10,7,9,8] => 011010011
[3,1,4,2,7,5,8,6,10,9] => [3,4,1,2,7,8,5,6,10,9] => [4,1,3,2,8,5,7,6,10,9] => 011001101
[2,1,4,3,6,5,8,7,11,9,12,10] => [2,1,4,3,6,5,8,7,11,12,9,10] => [2,1,4,3,6,5,8,7,12,9,11,10] => 10101010011
[2,1,4,3,6,5,9,7,10,8,12,11] => [2,1,4,3,6,5,9,10,7,8,12,11] => [2,1,4,3,6,5,10,7,9,8,12,11] => 10101001101
[2,1,4,3,7,5,8,6,10,9,12,11] => [2,1,4,3,7,8,5,6,10,9,12,11] => [2,1,4,3,8,5,7,6,10,9,12,11] => 10100110101
[2,1,4,3,7,5,8,6,11,9,12,10] => [2,1,4,3,7,8,5,6,11,12,9,10] => [2,1,4,3,8,5,7,6,12,9,11,10] => 10100110011
[2,1,5,3,6,4,8,7,10,9,12,11] => [2,1,5,6,3,4,8,7,10,9,12,11] => [2,1,6,3,5,4,8,7,10,9,12,11] => 10011010101
[2,1,5,3,6,4,8,7,11,9,12,10] => [2,1,5,6,3,4,8,7,11,12,9,10] => [2,1,6,3,5,4,8,7,12,9,11,10] => 10011010011
[2,1,5,3,6,4,9,7,10,8,12,11] => [2,1,5,6,3,4,9,10,7,8,12,11] => [2,1,6,3,5,4,10,7,9,8,12,11] => 10011001101
[3,1,4,2,6,5,8,7,10,9,12,11] => [3,4,1,2,6,5,8,7,10,9,12,11] => [4,1,3,2,6,5,8,7,10,9,12,11] => 01101010101
[3,1,4,2,6,5,8,7,11,9,12,10] => [3,4,1,2,6,5,8,7,11,12,9,10] => [4,1,3,2,6,5,8,7,12,9,11,10] => 01101010011
[3,1,4,2,6,5,9,7,10,8,12,11] => [3,4,1,2,6,5,9,10,7,8,12,11] => [4,1,3,2,6,5,10,7,9,8,12,11] => 01101001101
[3,1,4,2,7,5,8,6,10,9,12,11] => [3,4,1,2,7,8,5,6,10,9,12,11] => [4,1,3,2,8,5,7,6,10,9,12,11] => 01100110101
[3,1,4,2,7,5,8,6,11,9,12,10] => [3,4,1,2,7,8,5,6,11,12,9,10] => [4,1,3,2,8,5,7,6,12,9,11,10] => 01100110011
[3,1,5,2,7,4,9,6,11,8,12,10] => [3,5,1,7,2,9,4,11,6,12,8,10] => [12,1,3,2,5,4,7,6,9,8,11,10] => 01010101011
[3,8,1,5,7,6,2,4] => [8,6,3,2,1,7,5,4] => [3,7,6,2,5,8,1,4] => 0000111
[7,1,2,8,4,6,3,5] => [7,1,6,8,3,4,2,5] => [8,3,6,4,7,1,2,5] => 0000111
[1,3,7,6,4,8,2,5] => [1,8,3,6,2,7,4,5] => [1,3,7,6,2,8,4,5] => 0000111
[1,8,6,5,7,2,4,3] => [1,7,4,2,6,8,5,3] => [1,4,2,8,6,5,7,3] => 0010111
[5,4,2,8,7,6,3,1] => [3,6,4,5,1,7,8,2] => [5,4,1,8,7,6,3,2] => 0111111
[8,1,4,2,7,6,5,3] => [8,4,5,1,6,7,2,3] => [7,6,5,1,4,2,8,3] => 0011111
[2,6,7,3,5,8,4,1] => [4,2,8,7,1,6,5,3] => [2,6,7,1,5,8,4,3] => 0010011
[2,6,7,3,5,8,1,4] => [8,2,7,1,3,6,5,4] => [2,6,7,1,5,8,3,4] => 0000011
[2,5,6,7,1,4,8,3] => [7,2,8,1,5,6,4,3] => [2,5,6,8,1,4,7,3] => 0000011
[2,7,3,5,8,4,6,1] => [6,2,7,8,3,4,5,1] => [2,8,3,7,4,5,6,1] => 0000111
[4,7,5,2,8,6,1,3] => [6,5,2,4,8,7,1,3] => [4,7,5,2,8,6,1,3] => 0001111
[2,7,6,1,5,4,8,3] => [6,2,7,5,3,8,4,1] => [2,5,3,8,4,7,6,1] => 0001111
[7,2,1,4,6,8,5,3] => [2,7,5,1,8,4,6,3] => [8,5,2,1,4,6,7,3] => 1001011
[6,3,1,8,4,5,2,7] => [3,6,5,8,4,2,1,7] => [8,4,5,2,6,3,1,7] => 0101101
[7,6,2,4,8,3,1,5] => [3,8,6,1,2,7,4,5] => [7,6,1,8,3,2,4,5] => 0100111
[6,5,8,1,4,3,7,2] => [8,7,4,1,6,5,3,2] => [4,1,6,5,7,3,8,2] => 0010111
[6,3,4,2,7,5,8,1] => [8,4,6,3,7,2,5,1] => [7,3,4,2,6,5,8,1] => 0010111
[6,2,7,5,8,3,4,1] => [4,6,8,3,7,2,5,1] => [7,3,8,5,6,2,4,1] => 0010111
[8,3,4,1,6,2,7,5] => [4,6,8,3,7,1,2,5] => [7,3,8,1,4,2,6,5] => 0010111
[1,7,6,5,4,3,2,9,8] => [1,3,4,5,6,7,2,9,8] => [1,7,6,5,4,3,2,9,8] => 01111101
[6,8,4,3,5,1,7,2] => [5,7,4,8,3,6,1,2] => [6,8,4,3,7,1,5,2] => 0011011
[1,4,6,7,2,5,8,3] => [1,7,8,4,2,6,5,3] => [1,4,6,8,2,5,7,3] => 0000011
[1,4,7,3,6,8,2,5] => [1,8,7,4,2,3,6,5] => [1,4,7,2,6,8,3,5] => 0000011
[3,7,1,4,6,8,2,5] => [7,8,3,1,2,4,6,5] => [3,8,1,6,7,2,4,5] => 0000011
[2,4,7,3,6,8,1,5] => [8,2,7,4,1,3,6,5] => [2,4,7,1,6,8,3,5] => 0000011
[7,6,1,5,2,8,3,4] => [6,5,7,1,3,8,2,4] => [8,1,5,3,7,6,2,4] => 0001111
[8,5,7,6,1,3,2,4] => [6,3,1,2,7,8,4,5] => [3,1,8,2,4,7,6,5] => 0100111
[1,2,6,7,4,5,8,3] => [1,2,8,7,4,6,5,3] => [1,2,6,7,4,5,8,3] => 0000011
[3,8,7,2,5,1,6,4] => [5,7,3,6,2,1,8,4] => [3,6,2,8,7,1,5,4] => 0001111
[7,2,3,6,8,1,4,5] => [8,7,2,1,4,3,6,5] => [7,2,4,6,8,1,3,5] => 0000011
[8,3,1,7,5,2,6,4] => [3,8,5,7,6,4,2,1] => [6,4,7,5,2,8,3,1] => 0101111
[6,4,1,8,3,2,5,7] => [4,3,6,8,1,2,5,7] => [8,3,1,6,4,2,5,7] => 0110101
[5,7,1,4,2,8,3,6] => [7,4,8,1,5,3,2,6] => [5,8,1,4,3,7,2,6] => 0010011
[6,1,4,8,3,5,2,7] => [6,5,8,1,3,4,2,7] => [8,1,5,3,4,6,2,7] => 0001101
[2,3,1,6,8,7,4,5] => [3,2,1,7,4,6,8,5] => [2,3,1,6,8,7,4,5] => 0100011
[6,4,8,2,1,7,3,5] => [2,8,7,6,3,4,1,5] => [6,3,7,4,8,2,1,5] => 1000111
[2,3,1,8,7,5,6,4] => [3,2,1,6,7,5,8,4] => [2,3,1,8,7,5,6,4] => 0100111
[6,4,1,2,7,8,5,3] => [4,1,6,5,8,3,7,2] => [7,8,5,3,6,4,1,2] => 0011101
[7,1,4,3,2,6,8,5] => [7,3,4,1,8,2,6,5] => [4,3,1,8,2,6,7,5] => 0110011
[7,4,8,2,3,6,1,5] => [6,8,2,7,1,3,4,5] => [7,2,8,1,3,6,4,5] => 0000111
[8,3,4,7,2,1,6,5] => [2,7,8,3,6,1,4,5] => [6,3,8,2,1,4,7,5] => 1000111
[2,8,6,4,1,5,3,7] => [4,2,6,5,3,8,1,7] => [2,5,3,8,6,4,1,7] => 0011101
[4,1,3,2,6,8,5,7] => [4,3,1,2,8,6,5,7] => [3,1,4,2,6,8,5,7] => 0110001
[1,6,5,3,8,2,4,7] => [1,8,5,2,6,3,4,7] => [1,6,5,2,8,3,4,7] => 0001101
[5,1,2,4,6,8,3,7] => [5,1,8,2,4,6,3,7] => [6,8,1,2,4,5,3,7] => 0001001
[3,1,5,7,4,2,8,6] => [3,4,1,7,5,8,2,6] => [5,8,4,1,3,2,7,6] => 0110011
[8,5,1,2,7,4,3,6] => [5,1,4,8,7,2,3,6] => [7,4,1,2,8,5,3,6] => 0011011
[6,8,7,1,2,3,5,4] => [7,1,2,5,3,6,8,4] => [5,1,2,3,6,8,7,4] => 0001011
[1,6,3,7,4,8,2,5] => [1,8,6,7,2,3,4,5] => [1,7,2,6,3,8,4,5] => 0000111
[2,7,3,1,6,4,8,5] => [3,2,7,6,8,1,4,5] => [2,8,3,1,6,4,7,5] => 0100111
[4,8,5,1,3,2,7,6] => [5,3,1,4,8,7,2,6] => [3,1,4,7,5,2,8,6] => 0101011
[3,2,4,6,1,8,7,5] => [6,3,2,4,7,1,8,5] => [3,2,4,8,7,1,6,5] => 0100111
[7,1,8,3,6,5,2,4] => [7,5,6,3,8,2,1,4] => [8,3,6,5,2,7,1,4] => 0001111
[1,4,3,6,2,8,7,5] => [1,6,4,3,7,2,8,5] => [1,4,3,8,7,2,6,5] => 0010111
[6,1,5,7,2,8,4,3] => [6,7,4,8,1,5,2,3] => [8,4,1,5,7,2,6,3] => 0010111
[2,6,8,1,7,4,3,5] => [8,2,4,7,3,6,1,5] => [2,6,7,4,3,8,1,5] => 0010011
[1,6,8,4,7,3,2,5] => [1,3,7,8,2,6,4,5] => [1,6,8,3,2,7,4,5] => 0100011
[3,6,7,5,4,8,1,2] => [8,1,3,5,7,6,4,2] => [3,6,7,5,4,8,1,2] => 0001011
[4,5,7,2,6,3,8,1] => [8,7,6,4,5,2,3,1] => [4,5,6,2,7,3,8,1] => 0000111
[6,7,5,4,2,8,1,3] => [8,4,1,5,7,6,2,3] => [6,7,5,4,1,8,2,3] => 0011011
[7,1,5,6,8,3,2,4] => [7,3,8,2,1,5,6,4] => [8,3,2,5,6,7,1,4] => 0100011
[7,5,6,4,1,8,2,3] => [4,6,1,8,7,5,2,3] => [7,5,8,1,6,4,2,3] => 0010111
[2,1,5,7,4,6,8,3] => [2,1,8,7,5,4,6,3] => [2,1,5,7,4,6,8,3] => 1000011
[2,3,5,7,8,1,6,4] => [8,2,3,6,5,1,7,4] => [2,3,5,6,1,7,8,4] => 0000101
[8,2,3,5,6,4,1,7] => [4,6,1,8,3,5,2,7] => [8,1,3,5,6,4,2,7] => 0010101
[2,4,7,5,3,6,8,1] => [8,2,5,4,7,3,6,1] => [2,4,7,5,3,6,8,1] => 0001011
[4,7,1,3,6,2,5,8] => [7,6,1,4,2,3,5,8] => [4,6,1,7,2,3,5,8] => 0000110
[1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => [1,7,2,4,5,3,6,8] => 0001010
[2,5,8,1,4,7,3,6] => [8,2,7,1,5,3,4,6] => [2,5,7,1,8,3,4,6] => 0000011
[4,7,1,2,5,8,3,6] => [7,1,8,4,2,3,5,6] => [4,8,1,2,7,3,5,6] => 0000011
[2,4,7,8,3,5,1,6] => [5,2,8,4,3,1,7,6] => [2,4,7,8,3,5,1,6] => 0001001
[2,5,8,3,6,4,7,1] => [7,2,8,6,5,3,4,1] => [2,5,6,3,8,4,7,1] => 0000111
[2,5,8,1,3,6,4,7] => [8,2,1,6,5,3,4,7] => [2,5,6,1,3,8,4,7] => 0000101
[1,5,3,6,8,2,4,7] => [1,8,5,2,3,6,4,7] => [1,5,2,6,8,3,4,7] => 0001001
[4,8,1,2,6,3,7,5] => [8,1,6,4,7,2,3,5] => [4,7,1,2,6,3,8,5] => 0000111
[5,8,1,2,6,3,7,4] => [8,1,6,7,5,2,3,4] => [5,7,1,2,6,3,8,4] => 0000111
[4,1,2,6,5,7,8,3] => [4,1,8,2,6,5,7,3] => [6,5,7,8,1,2,4,3] => 0010101
[1,7,5,2,3,8,6,4] => [1,5,2,7,6,8,4,3] => [1,8,6,4,7,5,2,3] => 0001111
[5,3,1,8,2,4,7,6] => [3,5,8,1,2,7,4,6] => [7,1,5,3,2,4,8,6] => 0101011
[1,2,6,3,7,5,8,4] => [1,2,6,8,7,3,5,4] => [1,2,7,3,8,5,6,4] => 0000111
[3,1,5,4,6,7,8,2] => [3,8,1,5,4,6,7,2] => [5,4,6,7,8,1,3,2] => 0101001
[2,6,8,7,3,1,4,5] => [3,2,7,1,4,6,8,5] => [2,6,8,7,3,1,4,5] => 0100011
[7,4,2,1,3,8,5,6] => [2,4,1,7,8,5,3,6] => [8,5,7,4,2,1,3,6] => 1010011
[7,2,1,3,8,5,4,6] => [2,7,1,5,8,4,3,6] => [8,5,4,7,2,1,3,6] => 1001011
[2,1,7,3,8,6,4,5] => [2,1,7,6,4,8,3,5] => [2,1,8,6,4,7,3,5] => 1000111
[1,7,5,3,2,4,8,6] => [1,3,5,2,7,8,4,6] => [1,8,5,3,2,4,7,6] => 0101011
[1,4,2,7,6,5,8,3] => [1,4,8,2,6,7,5,3] => [1,7,6,5,8,2,4,3] => 0010111
[4,5,7,6,2,8,1,3] => [8,6,1,4,5,7,2,3] => [4,5,7,6,1,8,2,3] => 0000111
[5,8,3,1,4,2,7,6] => [3,8,4,2,5,7,1,6] => [4,2,5,7,3,1,8,6] => 0110011
[3,8,4,1,5,2,7,6] => [4,8,3,5,2,7,1,6] => [3,5,2,7,4,1,8,6] => 0011011
[4,1,7,8,3,2,6,5] => [4,3,8,1,6,2,7,5] => [6,3,1,4,2,7,8,5] => 0110101
[5,1,7,8,3,2,6,4] => [5,3,8,6,1,2,7,4] => [6,3,1,7,8,2,5,4] => 0101101
[1,8,6,2,4,3,7,5] => [1,6,4,2,8,7,5,3] => [1,4,2,7,5,8,6,3] => 0010111
[5,8,2,1,6,3,7,4] => [2,8,6,7,5,1,3,4] => [5,7,2,1,6,3,8,4] => 1000111
[2,8,3,1,7,4,6,5] => [3,2,8,7,6,4,1,5] => [2,6,4,7,3,1,8,5] => 0100111
[4,8,2,1,7,3,6,5] => [2,8,7,4,6,3,1,5] => [4,6,3,7,2,1,8,5] => 1000111
[7,2,6,8,3,1,5,4] => [3,8,7,5,2,1,6,4] => [5,2,7,3,1,6,8,4] => 0101011
[5,8,3,1,7,2,6,4] => [3,8,7,6,5,1,2,4] => [5,6,1,7,3,2,8,4] => 0100111
[3,8,5,1,7,2,6,4] => [5,8,3,7,6,4,2,1] => [3,6,4,7,2,8,5,1] => 0001111
[1,8,6,3,7,2,5,4] => [1,7,6,5,2,8,3,4] => [1,5,2,8,6,3,7,4] => 0001111
[6,2,7,1,5,8,4,3] => [7,6,4,8,1,2,5,3] => [8,4,1,6,2,5,7,3] => 0010111
[1,4,5,6,7,8,9,3,2] => [1,3,9,4,5,6,7,8,2] => [1,4,5,6,7,8,9,3,2] => 01000001
[5,4,3,1,2,7,6,8] => [3,1,4,5,2,7,6,8] => [5,4,3,1,2,7,6,8] => 0111010
[7,1,5,2,3,6,4,8] => [7,5,2,6,1,3,4,8] => [6,2,5,1,3,7,4,8] => 0001110
[4,6,1,2,8,3,7,5] => [6,1,8,4,7,2,3,5] => [4,7,1,2,8,3,6,5] => 0000111
[6,5,3,7,2,4,1,8] => [4,7,5,2,6,3,1,8] => [6,5,2,7,3,4,1,8] => 0011110
[2,7,5,8,1,3,6,4] => [8,2,1,6,7,3,5,4] => [2,7,1,3,6,5,8,4] => 0000111
[1,2,5,7,8,6,3,4] => [1,2,6,3,5,8,7,4] => [1,2,5,7,8,6,3,4] => 0000101
[1,8,2,3,5,7,6,4] => [1,8,2,6,3,7,5,4] => [1,7,6,2,3,5,8,4] => 0000111
[1,2,7,8,4,6,3,5] => [1,2,6,8,3,4,7,5] => [1,2,7,8,3,6,4,5] => 0000101
[8,6,5,2,1,7,4,3] => [2,5,4,6,8,7,1,3] => [7,4,2,1,8,6,5,3] => 1011111
[5,7,3,2,1,8,4,6] => [2,3,7,8,5,4,1,6] => [5,8,4,7,3,2,1,6] => 1100011
[3,8,1,6,4,7,5,2] => [8,5,3,7,6,1,2,4] => [3,6,1,7,5,2,8,4] => 0001111
[4,3,8,6,7,1,5,2] => [7,5,4,3,1,8,6,2] => [4,3,5,1,8,6,7,2] => 0011011
[4,2,5,6,8,1,3,7] => [8,4,1,2,5,6,3,7] => [4,1,5,6,8,2,3,7] => 0010001
[8,3,2,4,7,1,6,5] => [7,3,8,2,6,1,4,5] => [6,3,2,8,1,4,7,5] => 0100111
[7,3,2,8,6,1,5,4] => [6,3,8,5,2,7,1,4] => [5,3,2,7,1,8,6,4] => 0101111
[7,5,8,2,6,1,4,3] => [6,8,4,1,7,2,5,3] => [4,1,7,2,8,5,6,3] => 0010111
[5,6,8,2,7,4,1,3] => [4,7,2,8,5,6,1,3] => [5,6,8,2,7,4,1,3] => 0010011
[7,4,1,2,6,5,8,3] => [4,1,7,8,6,3,5,2] => [6,3,8,5,7,4,1,2] => 0010111
[5,2,7,4,6,1,8,3] => [6,5,8,7,2,4,1,3] => [7,2,8,4,5,1,6,3] => 0001111
[4,2,7,1,6,5,8,3] => [7,4,8,2,6,1,5,3] => [6,2,4,1,8,5,7,3] => 0010111
[7,4,1,2,3,6,8,5] => [4,1,2,7,8,3,6,5] => [8,4,1,2,3,6,7,5] => 0010011
[5,4,8,6,3,2,1,7] => [2,3,6,5,4,8,1,7] => [5,4,8,6,3,2,1,7] => 1101101
[7,6,8,3,4,1,5,2] => [4,5,8,3,1,7,6,2] => [7,6,8,3,5,1,4,2] => 0011011
[4,6,8,5,1,2,7,3] => [5,1,8,4,7,6,3,2] => [4,6,7,3,8,5,1,2] => 0001011
[2,5,1,8,4,6,3,7] => [5,2,6,8,1,4,3,7] => [2,8,1,6,4,5,3,7] => 0001101
[7,2,4,6,3,5,8,1] => [8,7,6,2,3,4,5,1] => [6,2,7,3,4,5,8,1] => 0000111
[3,7,2,4,1,8,5,6] => [4,7,3,2,8,5,1,6] => [3,8,5,7,2,4,1,6] => 0010011
[3,6,2,8,4,1,7,5] => [4,8,3,6,7,1,2,5] => [3,7,1,6,4,2,8,5] => 0010111
[4,1,3,6,8,5,2,7] => [4,5,1,3,8,6,2,7] => [6,8,5,1,3,4,2,7] => 0011001
[5,2,4,6,1,8,3,7] => [6,5,8,2,4,1,3,7] => [8,2,4,5,1,6,3,7] => 0001101
[4,5,3,6,1,7,8,2] => [6,8,5,4,3,1,7,2] => [4,5,3,7,8,1,6,2] => 0001101
[1,8,5,3,2,4,6,7] => [1,3,5,2,8,4,6,7] => [1,8,5,3,2,4,6,7] => 0101001
[1,6,8,3,4,2,5,7] => [1,4,8,3,2,6,5,7] => [1,6,8,3,4,2,5,7] => 0010001
[1,8,7,5,3,4,2,6] => [1,4,5,3,7,2,8,6] => [1,8,7,5,3,4,2,6] => 0011011
[1,7,8,5,3,4,2,6] => [1,4,5,3,8,2,7,6] => [1,7,8,5,3,4,2,6] => 0011001
[1,7,6,8,4,2,3,5] => [1,4,2,8,3,7,6,5] => [1,7,6,8,4,2,3,5] => 0010011
[1,7,8,6,4,3,2,5] => [1,3,4,6,2,8,7,5] => [1,7,8,6,4,3,2,5] => 0110101
[9,8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,9,4] => [9,8,7,6,5,2,1,3,4] => 10011111
[9,7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,9,7,1] => [9,7,8,6,5,4,3,2,1] => 11111011
[7,2,8,6,4,1,5,3] => [4,6,8,5,3,7,2,1] => [5,3,7,2,8,6,4,1] => 0011111
[5,1,7,8,4,2,3,6] => [5,4,2,8,1,3,7,6] => [7,8,4,2,5,1,3,6] => 0011001
[7,6,2,5,4,1,8,3] => [4,5,6,7,1,8,2,3] => [8,1,7,6,2,5,4,3] => 0011111
[6,5,4,1,8,2,3,7] => [4,5,2,6,8,1,3,7] => [8,2,6,5,4,1,3,7] => 0011101
[6,4,1,5,3,7,2,8] => [4,6,7,5,2,1,3,8] => [5,2,7,1,6,4,3,8] => 0011110
[2,1,6,4,7,8,3,5] => [2,1,8,6,3,4,7,5] => [2,1,6,3,7,8,4,5] => 1000101
[5,4,2,6,7,8,3,1] => [3,8,4,5,1,6,7,2] => [5,4,1,6,7,8,3,2] => 0111001
[4,6,3,2,7,1,8,5] => [7,3,6,4,8,2,1,5] => [4,8,3,2,6,1,7,5] => 0100111
[2,6,4,7,8,5,3,1] => [3,2,5,8,6,1,7,4] => [2,6,3,1,7,8,5,4] => 0101101
[2,5,1,8,4,6,7,3] => [5,2,7,8,1,4,6,3] => [2,8,1,6,7,4,5,3] => 0001011
[5,2,8,4,6,7,1,3] => [7,5,1,8,2,4,6,3] => [8,1,5,4,6,7,2,3] => 0001011
[1,5,3,8,4,6,7,2] => [1,7,5,8,3,4,6,2] => [1,8,3,5,4,6,7,2] => 0001011
[5,2,8,1,4,6,3,7] => [8,5,6,1,2,4,3,7] => [6,1,5,2,4,8,3,7] => 0001101
[6,5,8,3,4,2,1,7] => [2,4,8,3,6,5,1,7] => [6,5,8,3,4,2,1,7] => 1010101
[1,3,5,8,4,6,7,2] => [1,7,3,8,5,4,6,2] => [1,3,5,8,4,6,7,2] => 0000011
[3,1,5,8,4,6,7,2] => [3,7,1,8,5,4,6,2] => [5,8,4,6,7,1,3,2] => 0100011
[8,2,7,6,3,4,5,1] => [5,8,6,3,4,7,2,1] => [7,6,3,4,8,2,5,1] => 0001111
[7,2,6,1,4,8,3,5] => [6,7,8,1,3,2,4,5] => [8,1,7,3,6,2,4,5] => 0000111
[7,8,1,2,4,6,3,5] => [8,1,6,2,3,4,7,5] => [6,1,2,7,8,3,4,5] => 0000101
[7,5,1,2,4,3,8,6] => [5,1,4,2,7,8,3,6] => [4,1,2,8,5,3,7,6] => 0011011
[7,6,8,1,4,2,3,5] => [8,4,2,1,3,7,6,5] => [4,2,7,6,8,1,3,5] => 0010011
[3,1,6,2,5,8,7,4] => [3,6,1,7,2,5,8,4] => [8,7,1,3,2,5,6,4] => 0100111
[5,4,1,7,2,3,6,8] => [4,5,1,7,2,3,6,8] => [7,1,5,4,2,3,6,8] => 0011010
[2,4,3,7,8,5,6,1] => [6,2,4,3,8,5,7,1] => [2,4,3,7,8,5,6,1] => 0010101
[3,8,1,2,7,4,6,5] => [8,1,3,7,6,4,2,5] => [3,6,4,7,1,2,8,5] => 0000111
[3,2,4,8,6,1,7,5] => [6,3,2,4,8,7,5,1] => [3,2,4,7,5,8,6,1] => 0100111
[2,1,6,3,8,7,4,5] => [2,1,6,7,4,3,8,5] => [2,1,8,7,4,6,3,5] => 1000111
[3,1,2,8,5,4,7,6] => [3,1,2,5,8,7,4,6] => [3,1,2,7,5,4,8,6] => 0101011
[3,2,6,5,7,8,1,4] => [8,3,2,1,6,5,7,4] => [3,2,6,5,7,8,1,4] => 0100101
[7,3,2,4,5,8,1,6] => [8,3,7,2,4,1,5,6] => [7,3,2,4,8,1,5,6] => 0100011
[3,7,1,4,8,6,2,5] => [7,6,3,1,2,8,4,5] => [3,8,6,1,7,2,4,5] => 0000111
[2,7,1,8,4,3,6,5] => [7,2,4,8,6,3,1,5] => [2,6,4,3,8,1,7,5] => 0010111
[2,6,1,8,7,3,4,5] => [6,2,7,3,4,1,8,5] => [2,8,7,3,4,6,1,5] => 0000111
[2,1,8,7,4,6,5,3] => [2,1,5,6,7,3,8,4] => [2,1,8,7,3,6,5,4] => 1001111
[2,1,7,8,3,5,6,4] => [2,1,8,6,3,5,7,4] => [2,1,6,3,5,7,8,4] => 1000101
[3,7,5,2,6,4,8,1] => [8,5,3,7,6,4,2,1] => [3,6,4,7,5,2,8,1] => 0001111
[5,2,7,4,6,3,8,1] => [8,5,6,7,2,4,3,1] => [7,2,6,4,5,3,8,1] => 0001111
[1,4,6,8,5,7,2,3] => [1,7,2,4,8,6,5,3] => [1,4,6,8,5,7,2,3] => 0000011
[2,8,5,1,6,4,3,7] => [5,2,4,8,6,3,1,7] => [2,6,4,3,8,5,1,7] => 0011101
[4,2,1,7,5,8,6,3] => [2,4,6,1,8,7,3,5] => [7,2,1,4,3,8,6,5] => 1010111
[8,4,1,6,5,3,7,2] => [4,8,7,5,6,2,1,3] => [6,5,2,7,1,8,4,3] => 0011111
[8,4,3,5,6,1,7,2] => [6,7,4,8,3,5,1,2] => [8,4,3,5,7,1,6,2] => 0010111
[4,6,2,5,3,8,1,7] => [8,6,5,4,2,3,1,7] => [4,5,2,6,3,8,1,7] => 0001101
[4,6,5,2,1,8,3,7] => [2,5,6,4,8,3,1,7] => [4,8,3,6,5,2,1,7] => 1001101
[5,8,4,3,6,7,2,1] => [2,7,4,8,5,3,6,1] => [5,8,4,3,6,7,2,1] => 1010011
[6,8,2,1,5,3,4,7] => [2,8,5,3,1,6,4,7] => [5,3,6,8,2,1,4,7] => 1001001
[2,5,3,8,6,7,4,1] => [4,2,7,5,1,8,6,3] => [2,5,1,8,6,7,4,3] => 0011011
[3,2,6,5,1,8,4,7] => [5,3,2,6,8,4,1,7] => [3,2,8,4,6,5,1,7] => 0101101
[4,5,8,1,6,7,3,2] => [8,3,7,4,5,1,6,2] => [4,5,7,3,1,6,8,2] => 0100011
[7,4,3,6,2,8,1,5] => [8,6,4,7,1,3,2,5] => [7,4,1,6,3,8,2,5] => 0010111
[1,7,6,2,3,4,8,5] => [1,6,2,3,7,8,5,4] => [1,8,5,7,6,2,3,4] => 0000111
[5,3,8,4,7,1,2,6] => [7,1,5,8,3,2,4,6] => [8,3,5,1,2,7,4,6] => 0001011
[4,2,8,7,6,1,3,5] => [6,4,1,2,3,7,8,5] => [4,1,8,7,6,2,3,5] => 0010111
[8,1,4,6,5,7,2,3] => [8,7,2,1,6,4,5,3] => [6,2,4,7,5,8,1,3] => 0000111
[8,6,1,5,3,7,2,4] => [6,8,5,1,2,7,3,4] => [5,1,7,2,8,6,3,4] => 0001111
[7,8,1,5,2,6,4,3] => [8,5,4,6,1,2,7,3] => [6,4,1,5,2,7,8,3] => 0011101
[2,6,3,7,8,1,4,5] => [8,2,6,1,4,3,7,5] => [2,6,1,4,7,8,3,5] => 0000101
[6,3,8,7,2,1,5,4] => [2,7,6,5,1,3,8,4] => [5,2,1,6,3,8,7,4] => 1001111
[7,2,5,6,3,4,8,1] => [8,7,6,3,2,5,4,1] => [6,3,5,7,2,4,8,1] => 0000111
[7,2,4,5,8,6,3,1] => [3,6,8,2,4,7,5,1] => [7,2,4,5,8,6,3,1] => 0100111
[6,3,8,4,7,2,5,1] => [5,7,6,8,2,3,4,1] => [8,2,6,3,7,4,5,1] => 0001111
[7,5,4,2,8,1,6,3] => [8,4,5,7,6,1,2,3] => [6,1,7,5,4,2,8,3] => 0011111
[7,6,3,2,8,4,5,1] => [5,3,6,7,2,8,4,1] => [8,3,2,7,6,4,5,1] => 0101111
[7,2,3,6,8,4,5,1] => [5,7,2,8,4,3,6,1] => [8,4,6,7,2,3,5,1] => 0001011
[7,2,5,4,8,3,6,1] => [6,7,8,5,2,3,4,1] => [5,2,8,3,7,4,6,1] => 0001111
[7,2,8,3,6,1,4,5] => [6,7,8,1,4,3,2,5] => [8,1,4,7,3,6,2,5] => 0000111
[7,4,5,2,8,3,6,1] => [6,5,8,7,4,3,2,1] => [7,4,8,3,5,2,6,1] => 0001111
[3,1,6,7,4,5,2,8] => [3,5,1,7,4,6,2,8] => [6,7,4,5,1,3,2,8] => 0101010
[5,1,3,2,4,6,8,7] => [5,3,1,2,4,6,8,7] => [3,1,5,2,4,6,8,7] => 0101001
[6,4,2,5,7,3,8,1] => [8,4,6,7,3,5,2,1] => [7,3,5,6,4,2,8,1] => 0010111
[6,5,2,4,3,8,7,1] => [7,5,4,2,6,3,8,1] => [4,2,6,5,3,8,7,1] => 0011111
[6,4,5,3,8,1,2,7] => [8,1,5,6,4,3,2,7] => [6,4,5,3,8,1,2,7] => 0001101
[5,6,4,8,3,1,2,7] => [3,1,8,6,5,4,2,7] => [5,6,4,8,3,1,2,7] => 0100101
[4,7,2,6,5,3,8,1] => [8,7,5,4,6,2,3,1] => [4,6,5,2,7,3,8,1] => 0001111
[2,8,3,7,6,1,5,4] => [6,2,7,5,3,8,1,4] => [2,5,3,8,1,7,6,4] => 0001111
[2,8,7,3,1,6,5,4] => [3,2,7,5,6,1,8,4] => [2,6,5,3,1,8,7,4] => 0101111
[3,7,2,5,8,6,4,1] => [4,6,3,8,2,7,5,1] => [3,7,2,5,8,6,4,1] => 0010111
[4,6,5,3,8,1,7,2] => [8,7,5,4,6,3,1,2] => [4,6,5,3,7,1,8,2] => 0001111
[7,2,3,8,4,6,5,1] => [5,6,1,7,8,3,4,2] => [8,1,3,7,4,6,5,2] => 0001111
[3,2,8,7,4,6,5,1] => [5,3,2,6,7,1,8,4] => [3,2,8,7,1,6,5,4] => 0101111
[8,6,1,2,4,5,3,7] => [6,1,5,2,4,8,3,7] => [5,1,2,4,8,6,3,7] => 0001101
[8,2,5,6,1,4,3,7] => [6,8,4,1,2,5,3,7] => [4,1,8,2,5,6,3,7] => 0010101
[4,8,5,2,7,6,3,1] => [3,6,5,4,7,8,2,1] => [4,8,5,2,7,6,3,1] => 0101111
[2,8,6,5,7,1,3,4] => [7,2,1,3,6,8,5,4] => [2,8,6,5,7,1,3,4] => 0000111
[1,4,8,6,2,5,7,3] => [1,6,8,4,3,7,5,2] => [1,4,7,3,5,8,6,2] => 0000111
[5,3,8,1,6,4,7,2] => [8,7,5,6,3,1,4,2] => [6,3,5,1,7,4,8,2] => 0001111
[3,5,8,1,6,4,7,2] => [8,7,3,6,5,1,4,2] => [3,5,6,1,7,4,8,2] => 0000111
[4,8,5,1,7,6,3,2] => [5,3,8,4,6,7,2,1] => [4,7,6,3,2,8,5,1] => 0101111
[5,8,1,7,6,2,3,4] => [8,6,2,3,5,7,1,4] => [5,7,6,2,3,8,1,4] => 0000111
[7,6,2,8,5,4,3,1] => [3,4,5,8,6,7,1,2] => [7,6,1,8,5,4,3,2] => 0111111
[3,5,7,1,6,2,4,8] => [7,6,3,2,5,1,4,8] => [3,5,6,2,7,1,4,8] => 0000110
[1,7,4,8,2,6,3,5] => [1,8,6,7,3,2,4,5] => [1,7,3,6,2,8,4,5] => 0000111
[5,2,1,7,6,4,3,8] => [2,5,4,6,1,7,3,8] => [7,6,4,2,1,5,3,8] => 1011110
[7,4,3,8,5,6,1,2] => [6,1,4,7,8,5,3,2] => [8,5,7,4,3,6,1,2] => 0010111
[1,5,4,3,8,7,2,6] => [1,7,4,5,3,2,8,6] => [1,5,4,3,8,7,2,6] => 0011011
[10,8,7,6,5,4,2,1,3,9] => [2,4,1,5,6,7,8,10,3,9] => [10,8,7,6,5,4,2,1,3,9] => 101111101
[3,5,6,2,4,7,8,1] => [8,6,3,2,5,4,7,1] => [3,5,6,2,4,7,8,1] => 0000101
[3,5,6,7,2,4,8,1] => [8,7,3,2,5,6,4,1] => [3,5,6,7,2,4,8,1] => 0000011
[3,5,7,6,8,2,4,1] => [4,8,3,2,5,7,6,1] => [3,5,7,6,8,2,4,1] => 0010011
[3,5,7,2,6,8,4,1] => [4,8,3,7,5,1,6,2] => [3,5,7,1,6,8,4,2] => 0010011
[3,5,7,4,2,6,8,1] => [8,4,3,7,5,2,6,1] => [3,5,7,4,2,6,8,1] => 0010011
[3,5,4,7,2,6,8,1] => [8,7,3,5,4,2,6,1] => [3,5,4,7,2,6,8,1] => 0001011
[3,4,5,7,2,8,6,1] => [6,8,3,4,5,7,1,2] => [3,4,5,7,1,8,6,2] => 0000111
[3,5,4,7,2,8,6,1] => [6,8,3,5,4,7,1,2] => [3,5,4,7,1,8,6,2] => 0001111
[3,2,5,7,4,8,6,1] => [6,3,2,8,5,7,1,4] => [3,2,5,7,1,8,6,4] => 0100111
[2,3,5,7,8,4,6,1] => [6,2,3,8,5,4,7,1] => [2,3,5,7,8,4,6,1] => 0000101
[3,5,2,7,8,6,4,1] => [4,6,3,5,1,8,7,2] => [3,5,1,7,8,6,4,2] => 0011101
[3,5,7,8,2,6,4,1] => [4,6,3,8,5,1,7,2] => [3,5,7,8,1,6,4,2] => 0010101
[3,5,7,8,6,2,4,1] => [4,6,3,2,5,8,7,1] => [3,5,7,8,6,2,4,1] => 0010101
[5,1,6,4,8,2,3,7] => [5,8,2,6,1,4,3,7] => [6,2,8,4,5,1,3,7] => 0001101
[8,1,4,2,5,3,6,7] => [8,4,5,1,2,3,6,7] => [5,1,4,2,8,3,6,7] => 0011001
[8,4,1,3,5,2,6,7] => [4,8,2,5,3,1,6,7] => [5,2,3,8,4,1,6,7] => 0011001
[4,1,8,3,5,2,6,7] => [4,5,8,1,3,2,6,7] => [8,1,5,3,4,2,6,7] => 0011001
[8,3,1,2,5,4,6,7] => [3,1,8,5,2,4,6,7] => [5,3,1,2,8,4,6,7] => 0101001
[5,2,4,8,1,7,6,3] => [8,5,6,2,4,7,1,3] => [7,6,2,4,5,1,8,3] => 0001111
[7,3,2,4,6,8,1,5] => [8,3,7,2,1,4,6,5] => [7,3,2,6,8,1,4,5] => 0100011
[1,4,8,6,7,2,5,3] => [1,7,5,4,2,8,6,3] => [1,4,5,2,8,6,7,3] => 0001011
[4,6,8,1,2,5,3,7] => [8,1,5,4,2,6,3,7] => [4,5,1,2,6,8,3,7] => 0001001
[3,5,6,8,2,1,4,7] => [2,8,3,1,5,6,4,7] => [3,5,6,8,2,1,4,7] => 1000001
[8,2,5,4,1,3,7,6] => [4,5,2,8,1,7,3,6] => [7,2,5,4,1,3,8,6] => 0011011
[2,4,5,8,6,3,1,7] => [3,2,6,4,5,8,1,7] => [2,4,5,8,6,3,1,7] => 0100101
[4,7,5,8,2,3,1,6] => [3,8,2,4,7,1,5,6] => [4,7,2,3,1,8,5,6] => 0100011
[4,6,7,5,1,8,3,2] => [5,3,7,4,8,6,2,1] => [4,6,8,3,2,7,5,1] => 0101011
[1,7,3,6,5,8,2,4] => [1,8,7,2,6,3,5,4] => [1,6,2,7,5,8,3,4] => 0000111
[7,5,3,8,6,2,1,4] => [2,6,5,3,8,7,1,4] => [7,5,3,8,6,2,1,4] => 1001111
[7,3,1,8,2,6,5,4] => [3,7,8,5,6,1,2,4] => [6,5,1,8,3,2,7,4] => 0101111
[4,6,7,5,2,8,3,1] => [3,8,5,4,7,6,1,2] => [4,6,7,5,1,8,3,2] => 0101011
[5,8,7,2,4,3,1,6] => [3,4,7,1,5,2,8,6] => [5,8,7,1,4,3,2,6] => 0110011
[7,2,6,8,4,5,1,3] => [5,7,1,8,4,2,6,3] => [8,4,6,7,1,5,2,3] => 0001011
[4,6,7,2,1,5,3,8] => [2,7,5,4,1,6,3,8] => [4,5,2,1,6,7,3,8] => 1001010
[8,7,1,5,4,3,2,6] => [7,3,4,5,1,2,8,6] => [5,4,3,1,8,7,2,6] => 0111011
[9,8,7,1,5,4,3,2,6] => [7,3,4,5,1,2,8,9,6] => [5,4,3,1,9,8,7,2,6] => 01110111
[8,7,4,1,5,3,6,2] => [4,7,6,5,2,1,8,3] => [5,2,6,1,8,7,4,3] => 0011111
[8,2,1,4,3,5,6,7] => [2,8,4,1,3,5,6,7] => [4,2,1,8,3,5,6,7] => 1010001
[6,2,5,8,3,4,1,7] => [4,6,8,3,2,5,1,7] => [8,3,5,6,2,4,1,7] => 0010101
[6,4,1,3,5,2,8,7] => [4,6,2,5,3,1,8,7] => [5,2,3,6,4,1,8,7] => 0011101
[7,6,1,4,5,8,2,3] => [6,7,1,2,4,8,5,3] => [8,1,4,5,7,6,2,3] => 0000111
[2,1,3,6,5,8,4,7] => [2,1,3,8,6,5,4,7] => [2,1,3,6,5,8,4,7] => 1000101
[6,5,2,7,4,3,1,8] => [3,4,7,5,6,2,1,8] => [6,5,2,7,4,3,1,8] => 0111110
[7,6,8,5,2,4,1,3] => [4,5,1,2,8,7,6,3] => [7,6,8,5,1,4,2,3] => 0011011
[5,3,7,2,4,1,8,6] => [4,7,5,2,3,8,1,6] => [5,2,8,3,4,1,7,6] => 0011011
[5,1,2,8,6,3,7,4] => [5,1,6,8,2,7,4,3] => [7,1,2,8,6,4,5,3] => 0001111
[6,1,5,7,2,4,3,8] => [6,7,4,2,1,5,3,8] => [4,2,7,1,5,6,3,8] => 0010110
[6,1,4,7,8,5,3,2] => [6,3,5,1,8,4,7,2] => [7,8,5,3,1,4,6,2] => 0101101
[6,1,5,7,8,4,2,3] => [6,4,2,8,1,5,7,3] => [7,8,4,2,5,6,1,3] => 0010101
[4,6,1,5,7,2,8,3] => [6,7,8,4,1,5,2,3] => [4,8,1,5,7,2,6,3] => 0000111
[2,5,8,4,6,3,7,1] => [7,2,6,8,5,4,3,1] => [2,5,8,4,6,3,7,1] => 0000111
[4,8,3,6,7,5,2,1] => [2,5,7,4,8,1,6,3] => [4,8,2,1,6,7,5,3] => 1001011
[4,3,7,1,2,6,8,5] => [7,1,4,3,8,2,6,5] => [4,3,8,1,2,6,7,5] => 0010011
[6,8,1,5,2,7,4,3] => [8,5,4,7,1,6,2,3] => [6,7,4,1,5,2,8,3] => 0011011
[5,6,2,1,3,8,4,7] => [2,6,1,8,5,3,4,7] => [5,8,2,1,3,6,4,7] => 1000101
[7,1,4,8,2,5,3,6] => [7,8,5,1,2,3,4,6] => [5,1,8,2,7,3,4,6] => 0001011
[6,3,4,7,2,5,8,1] => [8,7,6,3,2,4,5,1] => [6,3,7,2,4,5,8,1] => 0000111
[2,5,6,8,3,7,4,1] => [4,2,7,8,5,6,1,3] => [2,5,6,8,1,7,4,3] => 0010011
[6,7,8,2,3,1,5,4] => [3,8,2,5,1,6,7,4] => [5,2,3,1,6,7,8,4] => 0101001
[5,6,2,7,4,8,3,1] => [3,8,6,7,5,1,4,2] => [5,7,1,6,4,8,3,2] => 0100111
[1,7,3,2,4,8,6,5] => [1,3,7,2,6,8,4,5] => [1,8,6,3,2,4,7,5] => 0100111
[8,1,2,4,3,5,7,6] => [8,1,4,2,3,7,5,6] => [4,1,2,7,3,5,8,6] => 0010011
[6,4,5,3,2,8,7,1] => [7,3,5,6,4,2,8,1] => [6,4,5,3,2,8,7,1] => 0101111
[7,1,6,2,4,8,3,5] => [7,6,8,2,3,1,4,5] => [8,2,6,3,7,1,4,5] => 0000111
[2,7,8,1,4,3,6,5] => [8,2,4,1,6,3,7,5] => [2,4,1,6,3,7,8,5] => 0010101
[6,5,8,1,3,2,4,7] => [8,3,1,2,6,5,4,7] => [3,1,6,5,8,2,4,7] => 0100101
[2,1,8,5,3,4,6,7] => [2,1,5,3,8,4,6,7] => [2,1,8,5,3,4,6,7] => 1001001
[8,4,1,3,2,5,6,7] => [4,3,1,8,2,5,6,7] => [3,1,8,4,2,5,6,7] => 0110001
[8,6,1,2,3,5,4,7] => [6,1,2,5,3,8,4,7] => [5,1,2,3,8,6,4,7] => 0001101
[2,8,6,3,1,5,4,7] => [3,2,6,5,1,8,4,7] => [2,5,3,1,8,6,4,7] => 0101101
[5,7,2,8,4,1,6,3] => [4,8,7,6,5,2,3,1] => [5,6,2,7,3,8,4,1] => 0010111
[7,5,1,8,4,6,3,2] => [5,3,7,6,8,1,2,4] => [8,3,1,6,2,7,5,4] => 0101111
[7,2,5,3,6,4,8,1] => [8,7,5,6,2,3,4,1] => [6,2,5,3,7,4,8,1] => 0001111
[7,4,5,1,8,6,3,2] => [5,3,6,8,2,7,1,4] => [7,3,2,8,6,1,5,4] => 0101111
[2,4,8,6,1,5,3,7] => [6,2,5,4,1,8,3,7] => [2,4,5,1,8,6,3,7] => 0001101
[3,5,4,1,8,6,7,2] => [4,5,3,7,2,8,6,1] => [3,8,6,7,2,5,4,1] => 0011011
[8,5,1,6,7,4,3,2] => [5,3,4,8,7,2,6,1] => [7,4,3,2,6,8,5,1] => 0111011
[2,7,1,3,5,8,4,6] => [7,2,1,8,3,4,5,6] => [2,8,1,3,7,4,5,6] => 0000011
[2,7,8,6,5,1,4,3] => [5,2,4,1,6,8,7,3] => [2,4,1,7,8,6,5,3] => 0011101
[2,4,5,8,6,1,7,3] => [6,2,8,4,5,7,3,1] => [2,4,5,7,3,8,6,1] => 0000111
[7,3,6,2,5,4,8,1] => [8,6,7,5,2,3,4,1] => [5,2,7,3,6,4,8,1] => 0001111
[7,1,8,5,6,4,3,2] => [7,3,4,6,8,5,1,2] => [8,5,6,4,3,1,7,2] => 0110111
[6,8,1,5,7,4,3,2] => [8,3,4,7,1,6,5,2] => [6,7,4,3,1,5,8,2] => 0110011
[1,6,2,3,5,8,4,7] => [1,6,2,8,3,5,4,7] => [1,8,2,3,5,6,4,7] => 0000101
[7,1,2,4,8,5,3,6] => [7,1,5,2,8,3,4,6] => [8,5,1,2,7,3,4,6] => 0001011
[1,8,5,6,4,3,7,2] => [1,7,4,6,8,5,3,2] => [1,8,5,6,4,3,7,2] => 0010111
[2,6,8,4,5,1,7,3] => [5,2,7,8,4,6,1,3] => [2,6,8,4,7,1,5,3] => 0001011
[6,1,7,4,5,2,8,3] => [6,5,8,7,4,1,2,3] => [7,4,8,1,5,2,6,3] => 0001111
[5,3,2,1,7,8,4,6] => [2,3,5,8,1,4,7,6] => [7,8,3,2,1,5,4,6] => 1101001
[4,1,5,7,8,3,6,2] => [4,6,8,1,5,3,7,2] => [5,7,8,1,6,3,4,2] => 0010101
[7,8,3,5,2,1,4,6] => [2,5,8,1,3,4,7,6] => [7,8,2,1,5,3,4,6] => 1001001
[3,7,6,1,4,5,8,2] => [6,7,3,2,4,8,5,1] => [3,8,2,4,5,7,6,1] => 0000111
[8,6,5,7,1,3,4,2] => [7,4,1,3,6,8,5,2] => [4,1,3,8,6,5,7,2] => 0010111
[8,4,1,3,6,7,2,5] => [4,8,2,7,1,3,6,5] => [7,2,6,8,4,1,3,5] => 0010011
[1,6,5,3,8,4,7,2] => [1,7,5,6,8,4,3,2] => [1,8,4,6,5,3,7,2] => 0001111
[6,2,5,3,4,8,1,7] => [8,6,5,3,2,4,1,7] => [5,3,6,2,4,8,1,7] => 0001101
[6,2,5,3,4,8,7,1] => [7,6,5,3,2,4,8,1] => [5,3,6,2,4,8,7,1] => 0001111
[2,6,5,3,4,8,1,7] => [8,2,5,3,6,4,1,7] => [2,6,5,3,4,8,1,7] => 0001101
[5,3,4,8,1,7,2,6] => [8,7,5,3,4,2,1,6] => [5,3,4,7,2,8,1,6] => 0001011
[5,1,3,4,8,7,2,6] => [5,7,1,3,4,2,8,6] => [8,7,1,3,4,5,2,6] => 0001011
[5,3,8,1,4,7,6,2] => [8,6,5,1,3,7,4,2] => [5,1,7,6,3,4,8,2] => 0001111
[3,6,5,4,8,1,2,7] => [8,1,3,5,6,4,2,7] => [3,6,5,4,8,1,2,7] => 0001101
[3,5,2,4,8,7,6,1] => [6,5,3,2,4,7,8,1] => [3,5,2,4,8,7,6,1] => 0001111
[2,5,3,6,4,1,8,7] => [4,2,6,5,1,3,8,7] => [2,5,1,6,4,3,8,7] => 0011101
[4,6,2,5,1,7,8,3] => [5,6,8,4,2,1,7,3] => [4,7,8,2,6,1,5,3] => 0001101
[6,2,5,3,1,7,8,4] => [3,5,6,8,1,2,7,4] => [7,8,1,6,3,2,5,4] => 0101101
[2,6,3,1,7,5,8,4] => [3,2,6,8,7,1,5,4] => [2,7,3,1,8,5,6,4] => 0100111
[2,3,6,5,8,4,1,7] => [4,2,3,8,6,5,1,7] => [2,3,6,5,8,4,1,7] => 0010101
[2,3,1,7,4,8,6,5] => [3,2,1,7,6,8,4,5] => [2,3,1,8,6,4,7,5] => 0100111
[2,6,3,7,4,1,5,8] => [4,2,7,6,3,1,5,8] => [2,6,3,7,4,1,5,8] => 0010110
[2,7,8,3,1,6,5,4] => [3,2,8,5,6,1,7,4] => [2,6,5,3,1,7,8,4] => 0101101
[7,5,2,3,1,6,4,8] => [3,5,2,7,6,4,1,8] => [6,4,7,5,2,3,1,8] => 0101110
[2,1,7,4,8,5,3,6] => [2,1,5,8,7,4,3,6] => [2,1,7,4,8,5,3,6] => 1001011
[8,2,1,6,3,5,4,7] => [2,8,6,5,3,1,4,7] => [5,3,6,2,1,8,4,7] => 1001101
[8,2,1,7,3,6,4,5] => [2,8,7,6,4,3,1,5] => [6,4,7,3,8,2,1,5] => 1000111
[8,1,6,2,5,4,3,7] => [8,6,4,5,2,1,3,7] => [5,4,2,6,1,8,3,7] => 0011101
[7,8,5,2,6,4,3,1] => [3,4,6,5,8,2,7,1] => [7,8,5,2,6,4,3,1] => 0111101
[4,2,7,5,1,3,6,8] => [5,4,1,2,7,3,6,8] => [4,1,7,5,2,3,6,8] => 0011010
[4,2,8,1,3,6,7,5] => [8,4,1,2,7,3,6,5] => [4,1,7,2,3,6,8,5] => 0010011
[7,1,3,6,4,2,5,8] => [7,4,1,6,2,3,5,8] => [6,4,1,7,2,3,5,8] => 0010110
[8,1,2,5,7,4,6,3] => [8,1,6,7,2,4,5,3] => [7,1,2,6,4,5,8,3] => 0000111
[1,7,4,6,3,5,8,2] => [1,8,6,7,3,4,5,2] => [1,7,3,6,4,5,8,2] => 0000111
[7,1,3,6,2,5,8,4] => [7,6,1,8,2,3,5,4] => [8,1,6,2,3,5,7,4] => 0000111
[5,2,7,1,4,8,3,6] => [7,5,8,1,2,3,4,6] => [8,1,5,2,7,3,4,6] => 0001011
[5,2,7,3,6,1,4,8] => [6,5,7,1,2,3,4,8] => [7,1,5,2,6,3,4,8] => 0001110
[7,4,6,3,1,2,5,8] => [3,1,6,7,2,4,5,8] => [7,3,1,2,6,4,5,8] => 0100110
[6,4,8,3,1,2,5,7] => [3,1,8,6,2,4,5,7] => [6,3,1,2,8,4,5,7] => 0100101
[6,4,1,3,8,2,5,7] => [4,6,2,8,1,3,5,7] => [8,2,6,4,1,3,5,7] => 0010101
[7,4,6,1,2,5,8,3] => [6,1,8,7,2,4,5,3] => [7,1,2,8,4,5,6,3] => 0000111
[6,1,3,8,2,5,7,4] => [6,8,1,7,2,3,5,4] => [7,1,8,2,3,5,6,4] => 0000111
[7,2,5,3,6,1,4,8] => [6,7,5,1,2,3,4,8] => [5,1,7,2,6,3,4,8] => 0001110
[8,2,5,3,6,1,4,7] => [6,8,5,1,2,3,4,7] => [5,1,8,2,6,3,4,7] => 0001101
[6,4,7,1,2,5,8,3] => [7,1,8,6,2,4,5,3] => [6,1,2,8,4,5,7,3] => 0000111
[6,4,8,1,2,5,7,3] => [8,1,7,6,2,4,5,3] => [6,1,2,7,4,5,8,3] => 0000111
[5,8,3,4,1,2,7,6] => [4,1,8,3,5,7,2,6] => [5,7,3,4,1,2,8,6] => 0010011
[4,7,8,3,6,5,1,2] => [5,1,6,4,8,2,7,3] => [4,7,8,1,2,6,5,3] => 0001101
[5,2,4,8,3,7,1,6] => [7,5,8,2,4,1,3,6] => [8,2,4,5,1,7,3,6] => 0001011
[3,5,8,4,7,1,2,6] => [7,1,3,8,5,2,4,6] => [3,5,8,1,2,7,4,6] => 0000011
[4,6,1,5,7,8,2,3] => [6,8,2,4,1,5,7,3] => [4,7,8,2,5,6,1,3] => 0000101
[4,2,1,7,6,5,3,8] => [2,4,5,1,6,7,3,8] => [7,6,5,2,1,4,3,8] => 1011110
[3,7,5,1,4,6,2,8] => [5,7,3,2,6,4,1,8] => [3,6,2,4,7,5,1,8] => 0001110
[7,8,5,2,3,1,6,4] => [3,5,2,8,6,4,7,1] => [6,4,7,8,5,2,3,1] => 0101101
[6,8,7,4,1,5,2,3] => [4,7,1,5,2,6,8,3] => [5,1,6,8,7,4,2,3] => 0011011
[5,2,7,3,1,4,8,6] => [3,7,5,2,1,8,4,6] => [5,2,8,3,1,4,7,6] => 0101011
[8,6,4,7,5,1,3,2] => [5,3,1,7,6,8,2,4] => [3,1,8,6,2,7,5,4] => 0101111
[6,1,2,4,7,8,3,5] => [6,1,8,2,3,4,7,5] => [7,8,1,2,6,3,4,5] => 0000101
[2,4,6,5,7,1,8,3] => [7,2,8,4,6,5,1,3] => [2,4,6,5,8,1,7,3] => 0000111
[2,6,4,7,5,8,3,1] => [3,2,8,6,7,4,5,1] => [2,7,4,6,5,8,3,1] => 0100111
[4,6,2,7,5,3,8,1] => [8,6,5,4,7,2,3,1] => [4,7,5,2,6,3,8,1] => 0001111
[6,7,4,5,2,8,3,1] => [3,8,5,7,4,6,1,2] => [6,7,4,5,1,8,3,2] => 0101011
[3,5,2,1,7,8,6,4] => [2,5,3,6,1,8,7,4] => [3,7,8,6,2,1,5,4] => 1001101
[3,1,8,6,5,2,4,7] => [3,5,1,2,6,8,4,7] => [8,6,5,1,3,2,4,7] => 0101101
[8,1,5,2,3,6,7,4] => [8,5,2,7,1,3,6,4] => [7,2,5,1,3,6,8,4] => 0001011
[8,6,7,1,3,2,4,5] => [7,3,1,2,4,8,6,5] => [3,1,8,6,7,2,4,5] => 0100011
[7,5,1,2,3,6,8,4] => [5,1,2,7,8,4,6,3] => [8,4,6,7,5,1,2,3] => 0001011
[8,2,1,5,3,4,7,6] => [2,8,5,3,1,7,4,6] => [5,3,7,2,1,4,8,6] => 1001011
[6,7,1,2,3,8,5,4] => [7,1,2,5,8,6,3,4] => [6,8,5,1,2,3,7,4] => 0001011
[7,4,1,3,6,8,5,2] => [4,7,2,5,8,3,6,1] => [8,5,2,3,6,7,4,1] => 0011011
[1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => [1,2,4,7,5,8,3,6] => 0000011
[5,2,6,8,4,7,3,1] => [3,7,5,8,1,6,4,2] => [6,8,1,5,4,7,3,2] => 0101011
[6,3,8,5,7,1,4,2] => [7,4,6,1,8,3,5,2] => [8,1,4,3,6,5,7,2] => 0010111
[2,4,3,8,5,7,1,6] => [7,2,4,3,8,1,5,6] => [2,4,3,8,1,7,5,6] => 0010011
[2,8,3,1,4,6,5,7] => [3,2,8,1,6,4,5,7] => [2,6,3,1,4,8,5,7] => 0100101
[3,2,8,5,1,4,6,7] => [5,3,2,1,8,4,6,7] => [3,2,8,5,1,4,6,7] => 0101001
[5,3,8,1,4,2,6,7] => [8,4,5,1,3,2,6,7] => [5,1,4,3,8,2,6,7] => 0011001
[1,4,7,5,8,6,2,3] => [1,6,2,4,8,7,3,5] => [1,4,7,2,3,8,6,5] => 0000111
[2,4,5,1,8,3,7,6] => [5,2,8,4,1,7,3,6] => [2,4,7,1,5,3,8,6] => 0001011
[7,2,8,5,3,4,1,6] => [4,7,5,3,8,1,2,6] => [8,5,3,7,1,4,2,6] => 0011011
[7,3,5,6,4,1,8,2] => [4,6,8,7,1,5,2,3] => [7,1,5,8,2,6,4,3] => 0010111
[4,1,3,5,2,6,8,7] => [4,5,1,3,2,6,8,7] => [5,1,3,4,2,6,8,7] => 0011001
[3,1,8,5,6,7,4,2] => [3,4,1,7,8,5,6,2] => [8,5,6,7,4,1,3,2] => 0110011
[5,1,7,6,2,3,4,8] => [5,6,2,3,1,7,4,8] => [7,6,2,3,5,1,4,8] => 0001110
[5,2,7,6,4,1,8,3] => [4,6,5,7,3,8,1,2] => [8,3,5,1,7,6,4,2] => 0011111
[6,4,3,1,8,5,7,2] => [3,4,6,7,8,1,5,2] => [8,1,7,5,6,4,3,2] => 0110111
[1,4,7,6,8,5,2,3] => [1,5,2,4,8,7,6,3] => [1,4,7,6,8,5,2,3] => 0001011
[2,5,6,3,4,1,8,7] => [4,2,6,3,5,1,8,7] => [2,5,6,3,4,1,8,7] => 0010101
[4,6,7,2,3,8,5,1] => [5,8,1,4,7,6,3,2] => [4,6,7,1,3,8,5,2] => 0001011
[5,6,4,1,8,3,7,2] => [4,6,7,8,5,2,1,3] => [5,8,2,7,1,6,4,3] => 0010111
[4,5,3,7,8,1,2,6] => [8,1,5,4,3,2,7,6] => [4,5,3,7,8,1,2,6] => 0001001
[8,6,1,5,7,4,2,3] => [6,4,1,8,2,7,5,3] => [7,4,1,5,8,6,2,3] => 0010111
[1,7,4,5,8,3,6,2] => [1,6,8,7,4,3,5,2] => [1,7,4,8,3,5,6,2] => 0000111
[8,6,1,5,4,2,7,3] => [6,4,5,8,2,7,3,1] => [7,2,5,4,3,8,6,1] => 0011111
[2,5,8,1,3,7,4,6] => [8,2,1,7,5,4,3,6] => [2,5,7,4,8,1,3,6] => 0000011
[5,2,6,7,8,3,1,4] => [3,8,5,2,1,6,7,4] => [5,2,6,7,8,3,1,4] => 0101001
[5,6,2,7,8,3,1,4] => [3,8,6,2,5,1,7,4] => [5,6,2,7,8,3,1,4] => 0100101
[7,4,2,8,3,5,6,1] => [6,4,7,8,2,5,3,1] => [8,2,5,7,4,3,6,1] => 0010111
[6,2,7,8,5,3,4,1] => [4,6,5,3,8,2,7,1] => [7,8,5,3,6,2,4,1] => 0011101
[4,2,8,6,3,5,1,7] => [5,4,6,2,3,8,1,7] => [8,6,2,4,3,5,1,7] => 0011101
[3,8,6,1,4,5,2,7] => [6,5,3,1,4,8,2,7] => [3,5,1,4,8,6,2,7] => 0001101
[6,7,3,8,1,4,5,2] => [8,5,7,1,4,6,3,2] => [6,7,1,4,5,3,8,2] => 0001011
[2,6,7,8,4,1,5,3] => [4,2,8,5,3,6,7,1] => [2,5,3,6,7,8,4,1] => 0011001
[5,6,7,2,8,1,4,3] => [8,7,4,1,5,6,2,3] => [4,1,5,6,7,2,8,3] => 0010011
[8,5,3,6,4,2,1,7] => [2,4,6,5,8,1,3,7] => [8,5,2,1,6,4,3,7] => 1011101
[2,3,7,4,8,5,6,1] => [6,2,3,7,8,5,4,1] => [2,3,8,5,7,4,6,1] => 0000111
[7,3,8,5,4,2,6,1] => [6,4,5,8,7,2,3,1] => [7,2,8,5,4,3,6,1] => 0011111
[6,4,7,8,1,2,5,3] => [8,1,5,6,2,4,7,3] => [6,1,2,5,4,7,8,3] => 0001101
[7,5,8,1,2,3,6,4] => [8,1,2,6,7,3,5,4] => [7,1,2,3,6,5,8,4] => 0000111
[1,2,8,7,4,6,5,3] => [1,2,5,6,7,3,8,4] => [1,2,8,7,3,6,5,4] => 0001111
[7,2,6,5,3,1,4,8] => [3,5,6,1,7,2,4,8] => [7,1,6,5,3,2,4,8] => 0101110
[8,2,7,1,6,4,3,5] => [7,8,4,6,3,1,2,5] => [6,4,3,8,1,7,2,5] => 0010111
[1,6,5,3,2,4,8,7] => [1,3,5,2,6,4,8,7] => [1,6,5,3,2,4,8,7] => 0101101
[1,7,3,5,2,4,8,6] => [1,5,7,2,3,8,4,6] => [1,8,2,5,3,4,7,6] => 0001011
[5,1,4,3,2,6,8,7] => [5,3,4,1,2,6,8,7] => [4,3,1,5,2,6,8,7] => 0111001
[1,6,8,7,5,2,3,4] => [1,5,2,3,7,6,8,4] => [1,6,8,7,5,2,3,4] => 0001011
[7,2,4,8,5,6,3,1] => [3,6,7,1,8,5,4,2] => [8,5,7,1,4,6,3,2] => 0100111
[1,3,6,2,5,4,8,7] => [1,6,3,5,2,4,8,7] => [1,3,5,2,6,4,8,7] => 0001101
[1,4,8,7,3,6,2,5] => [1,6,7,4,2,3,8,5] => [1,4,8,7,2,6,3,5] => 0000111
[4,5,7,6,3,1,8,2] => [3,6,7,4,5,8,1,2] => [4,5,8,1,7,6,3,2] => 0100111
[5,4,1,8,7,3,6,2] => [4,5,6,7,2,1,8,3] => [8,7,2,6,1,5,4,3] => 0011111
[2,5,8,1,6,7,4,3] => [8,2,4,7,5,1,6,3] => [2,5,7,4,1,6,8,3] => 0010011
[6,2,4,7,5,3,1,8] => [3,5,7,2,6,4,1,8] => [6,2,4,7,5,3,1,8] => 0101110
[6,2,5,1,8,7,3,4] => [5,6,7,3,2,1,8,4] => [8,7,3,6,2,5,1,4] => 0001111
[3,2,6,1,5,8,7,4] => [6,3,2,7,1,5,8,4] => [3,2,8,7,1,5,6,4] => 0100111
[5,1,8,7,6,4,2,3] => [5,4,2,6,1,7,8,3] => [8,7,6,4,2,5,1,3] => 0011111
[6,1,4,8,3,7,2,5] => [6,7,8,1,2,4,3,5] => [8,1,7,2,4,6,3,5] => 0000111
[7,2,4,6,3,5,1,8] => [5,7,6,2,3,4,1,8] => [6,2,7,3,4,5,1,8] => 0001110
[1,5,3,8,6,2,4,7] => [1,6,5,2,3,8,4,7] => [1,5,2,8,6,3,4,7] => 0001101
[8,1,2,4,7,5,3,6] => [8,1,5,2,7,3,4,6] => [7,5,1,2,8,3,4,6] => 0001011
[8,5,1,2,4,7,3,6] => [5,1,8,3,7,2,4,6] => [7,3,8,5,1,2,4,6] => 0001011
[5,1,8,2,4,7,3,6] => [5,8,7,2,1,3,4,6] => [7,2,8,1,5,3,4,6] => 0001011
[1,6,3,8,4,7,2,5] => [1,7,6,8,2,3,4,5] => [1,8,2,6,3,7,4,5] => 0000111
[8,1,5,2,4,7,3,6] => [8,5,7,2,1,3,4,6] => [7,2,5,1,8,3,4,6] => 0001011
[7,5,8,1,4,2,3,6] => [8,4,2,1,7,3,5,6] => [4,2,7,1,3,8,5,6] => 0010011
[5,1,3,8,6,2,4,7] => [5,6,1,2,3,8,4,7] => [8,6,1,5,2,3,4,7] => 0001101
[7,2,4,8,5,1,3,6] => [5,8,2,1,7,3,4,6] => [7,2,8,5,1,3,4,6] => 0001011
[6,1,3,8,4,7,2,5] => [6,7,1,8,2,3,4,5] => [8,1,7,2,3,6,4,5] => 0000111
[8,2,4,7,5,1,3,6] => [5,7,2,1,8,3,4,6] => [8,2,7,5,1,3,4,6] => 0001011
[4,1,2,3,6,5,8,7,9] => [4,1,2,3,6,5,8,7,9] => [4,1,2,3,6,5,8,7,9] => 00101010
[4,1,2,3,6,5,8,7,10,9] => [4,1,2,3,6,5,8,7,10,9] => [4,1,2,3,6,5,8,7,10,9] => 001010101
[5,2,1,4,8,7,3,6] => [2,5,7,1,4,3,8,6] => [8,7,2,1,4,5,3,6] => 1001011
[7,2,4,8,1,6,3,5] => [8,7,6,2,3,1,4,5] => [6,2,7,3,8,1,4,5] => 0000111
[3,8,2,4,7,5,6,1] => [6,8,3,2,7,5,4,1] => [3,7,5,8,2,4,6,1] => 0000111
[3,2,7,1,8,6,5,4] => [7,3,2,5,6,8,1,4] => [3,2,8,6,5,1,7,4] => 0101111
[2,8,1,4,6,5,7,3] => [8,2,7,1,6,4,5,3] => [2,6,1,4,7,5,8,3] => 0000111
[1,3,8,5,6,7,2,4] => [1,7,3,2,8,5,6,4] => [1,3,8,5,6,7,2,4] => 0000011
[6,2,4,1,5,7,8,3] => [4,6,8,2,1,5,7,3] => [7,8,2,5,6,1,4,3] => 0010101
[4,2,1,5,7,6,8,3] => [2,4,8,1,5,7,6,3] => [5,7,6,8,2,1,4,3] => 1010011
[4,3,2,7,6,1,8,5] => [6,3,4,2,7,8,5,1] => [4,3,2,8,5,7,6,1] => 0110111
[7,2,6,5,3,1,8,4] => [3,5,6,7,8,4,1,2] => [8,4,7,1,6,5,3,2] => 0101111
[7,2,8,1,3,5,6,4] => [8,7,1,6,3,5,2,4] => [6,1,3,5,7,2,8,4] => 0000111
[6,7,2,5,3,4,8,1] => [8,7,5,3,2,6,4,1] => [5,3,6,7,2,4,8,1] => 0001011
[3,2,7,4,8,1,5,6] => [8,3,2,7,1,5,4,6] => [3,2,7,1,5,8,4,6] => 0100011
[3,1,5,8,7,4,6,2] => [3,6,1,7,5,4,8,2] => [5,8,7,4,6,1,3,2] => 0100111
[4,7,5,6,2,1,8,3] => [2,6,8,4,7,5,1,3] => [4,7,5,8,2,1,6,3] => 1000111
[1,3,5,6,2,8,7,4] => [1,6,3,7,5,2,8,4] => [1,3,5,8,7,2,6,4] => 0000111
[2,5,4,7,3,1,8,6] => [3,2,7,5,4,8,1,6] => [2,5,4,8,3,1,7,6] => 0101011
[7,3,2,1,5,4,8,6] => [2,3,7,5,1,8,4,6] => [5,3,2,1,8,4,7,6] => 1101011
[5,1,4,6,2,3,7,8] => [5,6,2,1,4,3,7,8] => [6,2,4,5,1,3,7,8] => 0001100
[6,4,1,3,5,7,2,8] => [4,6,2,7,3,5,1,8] => [7,2,3,5,6,4,1,8] => 0010110
[5,3,1,4,7,2,6,8] => [3,5,7,2,4,1,6,8] => [7,2,4,5,3,1,6,8] => 0101010
[1,3,6,5,2,4,7,8] => [1,5,3,2,6,4,7,8] => [1,3,6,5,2,4,7,8] => 0001100
[5,1,7,3,4,2,6,8] => [5,4,7,3,1,2,6,8] => [7,3,4,1,5,2,6,8] => 0011010
[6,4,5,1,2,8,7,3] => [5,1,7,6,4,2,8,3] => [6,4,8,7,1,2,5,3] => 0001111
[6,2,3,5,7,8,1,4] => [8,6,2,1,3,5,7,4] => [6,2,5,7,8,1,3,4] => 0000101
[6,3,8,5,1,4,7,2] => [5,8,7,2,6,1,4,3] => [6,2,7,1,4,8,5,3] => 0001111
[5,7,3,4,8,6,2,1] => [2,6,8,1,5,7,4,3] => [5,7,2,1,4,8,6,3] => 1000111
[5,3,1,4,6,8,7,2] => [3,5,7,2,4,6,8,1] => [6,8,7,2,4,5,3,1] => 0101011
[6,4,3,5,1,8,7,2] => [5,7,4,6,3,1,8,2] => [6,4,3,8,7,1,5,2] => 0011111
[7,6,3,5,1,2,8,4] => [5,1,6,7,4,8,2,3] => [8,4,7,6,1,2,5,3] => 0001111
[2,6,3,8,7,1,4,5] => [7,2,6,1,4,3,8,5] => [2,6,1,4,8,7,3,5] => 0000111
[5,8,7,3,1,2,4,6] => [3,1,7,2,5,4,8,6] => [5,8,7,3,1,2,4,6] => 0100011
[2,7,8,1,4,5,3,6] => [8,2,5,1,4,3,7,6] => [2,5,1,4,7,8,3,6] => 0001001
[4,1,2,8,7,3,6,5] => [4,1,7,2,6,3,8,5] => [6,1,2,4,3,8,7,5] => 0010111
[2,5,6,3,8,7,1,4] => [7,2,6,1,5,3,8,4] => [2,5,6,1,8,7,3,4] => 0000111
[6,1,2,4,3,8,7,5] => [6,1,4,2,7,3,8,5] => [4,1,2,8,7,3,6,5] => 0010111
[3,7,8,1,2,4,6,5] => [8,1,3,2,6,4,7,5] => [3,6,1,2,4,7,8,5] => 0000101
[7,3,4,1,2,6,8,5] => [4,1,7,3,8,2,6,5] => [8,3,4,1,2,6,7,5] => 0010011
[8,4,3,1,2,6,5,7] => [3,1,4,8,6,2,5,7] => [6,4,3,1,2,8,5,7] => 0110101
[8,6,2,3,5,4,1,7] => [4,5,1,6,3,8,2,7] => [8,6,1,3,5,4,2,7] => 0011101
[8,2,6,1,3,5,4,7] => [6,8,1,5,3,2,4,7] => [5,1,3,8,2,6,4,7] => 0001101
[8,4,3,7,2,5,6,1] => [6,7,4,8,2,5,3,1] => [8,4,2,5,7,3,6,1] => 0010111
[8,2,4,5,1,7,3,6] => [5,8,7,2,4,3,1,6] => [7,2,4,8,3,5,1,6] => 0001011
[6,8,2,4,5,1,7,3] => [5,8,7,2,4,6,1,3] => [6,7,2,4,8,1,5,3] => 0001011
[4,3,8,1,7,5,6,2] => [8,6,4,3,7,5,1,2] => [4,3,7,5,6,1,8,2] => 0010111
[8,3,7,1,4,5,6,2] => [7,6,8,1,4,5,3,2] => [8,1,4,5,6,3,7,2] => 0000111
[8,2,4,7,3,1,6,5] => [3,7,8,1,6,2,4,5] => [6,1,8,3,2,4,7,5] => 0100111
[8,2,7,6,3,1,4,5] => [3,6,7,1,4,8,2,5] => [8,1,4,7,6,3,2,5] => 0100111
[6,8,1,4,7,3,2,5] => [8,3,7,1,2,6,4,5] => [6,7,3,1,8,2,4,5] => 0100011
[5,8,2,7,3,1,6,4] => [3,7,8,6,5,2,1,4] => [5,6,2,8,3,1,7,4] => 0100111
[8,2,4,7,6,5,1,3] => [5,6,1,2,7,8,4,3] => [8,1,4,7,6,5,2,3] => 0001111
[8,2,7,6,4,5,1,3] => [5,8,1,6,4,7,2,3] => [7,6,4,8,1,5,2,3] => 0001111
[8,4,7,2,3,6,5,1] => [5,6,1,7,8,4,3,2] => [8,4,7,1,3,6,5,2] => 0001111
[8,1,2,7,6,4,5,3] => [8,1,5,6,4,7,2,3] => [7,6,4,5,1,2,8,3] => 0001111
[2,3,1,9,8,7,6,5,4] => [3,2,1,5,6,7,8,9,4] => [2,3,1,9,8,7,6,5,4] => 01011111
[4,2,1,8,7,3,6,5] => [2,4,7,1,6,3,8,5] => [6,2,1,4,3,8,7,5] => 1010111
[2,3,8,1,7,5,6,4] => [8,2,3,6,7,5,1,4] => [2,3,7,5,6,1,8,4] => 0000111
[1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => [1,6,2,3,5,8,4,7] => 0000101
[1,4,7,6,2,3,5,8] => [1,6,2,4,3,7,5,8] => [1,4,7,6,2,3,5,8] => 0000110
[1,7,6,2,3,8,4,5] => [1,6,2,7,3,8,4,5] => [1,8,2,3,7,6,4,5] => 0000111
[1,8,2,3,5,4,7,6] => [1,8,2,5,3,7,4,6] => [1,5,2,3,7,4,8,6] => 0001011
[7,3,8,6,2,1,5,4] => [2,6,8,5,3,7,1,4] => [5,3,7,2,1,8,6,4] => 1001111
[3,6,8,1,4,2,5,7] => [8,4,3,1,2,6,5,7] => [3,4,1,6,8,2,5,7] => 0010001
[5,8,2,7,3,1,4,6] => [3,7,8,2,5,4,1,6] => [5,8,2,4,7,3,1,6] => 0100011
[5,8,2,3,7,4,1,6] => [4,7,1,8,5,2,3,6] => [5,8,1,7,4,2,3,6] => 0010011
[4,2,8,3,7,6,1,5] => [6,4,7,2,3,8,1,5] => [8,2,4,3,7,6,1,5] => 0010111
[4,3,6,1,8,2,5,7] => [6,8,4,3,2,1,5,7] => [4,3,8,2,6,1,5,7] => 0010101
[3,8,7,4,6,2,1,5] => [2,6,3,7,1,4,8,5] => [3,8,7,2,1,6,4,5] => 1000111
[3,1,8,7,4,6,2,5] => [3,6,1,7,2,4,8,5] => [8,7,1,3,2,6,4,5] => 0100111
[8,1,3,4,7,2,5,6] => [8,7,1,3,2,5,4,6] => [7,1,3,5,8,2,4,6] => 0000011
[8,5,4,2,6,7,3,1] => [3,7,4,5,8,1,6,2] => [8,5,4,1,6,7,3,2] => 0111011
[1,7,3,2,5,6,8,4] => [1,3,7,8,2,5,6,4] => [1,8,3,2,5,6,7,4] => 0100011
[5,4,3,7,2,1,8,6] => [2,7,4,5,3,8,1,6] => [5,4,3,8,2,1,7,6] => 1011011
[4,2,7,5,1,3,8,6] => [5,4,1,2,7,8,3,6] => [4,1,8,5,2,3,7,6] => 0011011
[2,1,6,7,3,5,8,4] => [2,1,7,8,3,6,5,4] => [2,1,6,8,3,5,7,4] => 1000011
[3,1,7,8,5,2,4,6] => [3,5,1,2,8,4,7,6] => [7,8,5,1,3,2,4,6] => 0101001
[4,3,1,6,7,2,8,5] => [3,4,7,2,8,6,1,5] => [6,8,2,4,3,1,7,5] => 0110011
[8,3,6,7,1,4,2,5] => [7,4,8,1,2,3,6,5] => [8,1,4,2,6,7,3,5] => 0010011
[8,1,3,6,7,2,5,4] => [8,7,1,5,2,3,6,4] => [5,1,7,2,3,6,8,4] => 0001011
[7,2,3,8,6,5,1,4] => [5,6,2,1,8,7,3,4] => [7,2,8,6,5,1,3,4] => 0001111
[4,5,8,7,1,3,2,6] => [7,3,1,4,5,2,8,6] => [3,1,4,5,8,7,2,6] => 0100011
[3,4,8,1,5,6,2,7] => [8,6,3,4,1,5,2,7] => [3,4,6,1,5,8,2,7] => 0000101
[8,4,1,6,7,3,2,5] => [4,3,8,7,1,2,6,5] => [7,3,1,6,8,4,2,5] => 0110011
[5,4,8,6,3,7,2,1] => [2,7,6,5,4,8,3,1] => [5,4,8,6,3,7,2,1] => 1001111
[6,4,5,8,1,3,7,2] => [8,7,1,6,4,5,3,2] => [6,4,5,7,1,3,8,2] => 0000111
[2,6,3,1,5,8,4,7] => [3,2,6,8,1,5,4,7] => [2,8,3,1,5,6,4,7] => 0100101
[1,2,5,4,8,6,3,7] => [1,2,6,5,4,8,3,7] => [1,2,5,4,8,6,3,7] => 0001101
[6,4,5,8,2,1,7,3] => [2,8,7,6,4,5,1,3] => [6,4,5,7,2,1,8,3] => 1000111
[3,6,4,5,1,2,8,7] => [5,1,3,6,4,2,8,7] => [3,6,4,5,1,2,8,7] => 0001101
[4,3,5,1,8,6,2,7] => [5,6,4,3,1,8,2,7] => [4,3,8,6,1,5,2,7] => 0011101
[3,5,4,8,1,6,2,7] => [8,6,3,5,4,1,2,7] => [3,5,4,6,1,8,2,7] => 0001101
[3,5,4,8,1,6,7,2] => [8,7,3,5,4,1,6,2] => [3,5,4,7,1,6,8,2] => 0001011
[2,4,3,1,5,8,6,7] => [3,2,4,1,5,8,6,7] => [2,4,3,1,5,8,6,7] => 0110001
[1,7,6,2,5,4,8,3] => [1,6,7,5,3,8,4,2] => [1,5,3,8,4,7,6,2] => 0001111
[2,8,3,1,5,7,6,4] => [3,2,8,6,1,7,5,4] => [2,7,6,3,1,5,8,4] => 0100111
[3,7,2,1,5,6,8,4] => [2,7,3,8,1,5,6,4] => [3,8,2,1,5,6,7,4] => 1000011
[3,8,4,1,2,7,5,6] => [4,1,3,8,7,5,2,6] => [3,7,5,8,4,1,2,6] => 0010011
[4,8,2,1,6,5,7,3] => [2,8,7,4,6,1,5,3] => [4,6,2,1,7,5,8,3] => 1000111
[3,1,5,4,6,2,7,8] => [3,6,1,5,4,2,7,8] => [5,4,6,1,3,2,7,8] => 0101100
[8,3,4,1,6,5,7,2] => [4,7,8,3,6,1,5,2] => [6,3,8,5,7,1,4,2] => 0010111
[1,4,3,7,8,2,6,5] => [1,8,4,3,6,2,7,5] => [1,4,3,6,2,7,8,5] => 0010101
[1,3,7,8,2,6,4,5] => [1,8,3,6,4,2,7,5] => [1,3,6,4,7,8,2,5] => 0000101
[1,5,6,2,8,3,7,4] => [1,6,8,7,5,2,3,4] => [1,5,7,2,8,3,6,4] => 0000111
[2,1,6,5,3,8,7,4] => [2,1,5,6,7,4,8,3] => [2,1,8,7,4,6,5,3] => 1001111
[4,5,3,1,6,2,8,7] => [3,5,6,4,2,1,8,7] => [4,6,2,5,3,1,8,7] => 0101101
[3,1,4,2,8,7,5,6] => [3,4,1,2,7,5,8,6] => [4,1,3,2,8,7,5,6] => 0110011
[1,4,2,7,6,8,5,3] => [1,4,5,2,8,7,6,3] => [1,7,6,8,5,2,4,3] => 0011011
[5,6,8,2,1,4,7,3] => [2,8,7,1,5,6,4,3] => [5,6,7,2,1,4,8,3] => 1000011
[5,6,1,3,7,4,2,8] => [6,4,1,7,5,3,2,8] => [5,7,4,1,3,6,2,8] => 0010110
[7,8,2,5,3,6,4,1] => [4,6,8,5,3,1,7,2] => [5,3,7,8,1,6,4,2] => 0011101
[5,1,2,8,7,6,4,3] => [5,1,4,6,2,7,8,3] => [8,7,6,4,1,2,5,3] => 0011111
[7,1,3,6,5,8,2,4] => [7,8,1,2,6,3,5,4] => [6,1,8,5,7,2,3,4] => 0000111
[4,6,8,5,3,7,2,1] => [2,7,5,4,8,6,3,1] => [4,6,8,5,3,7,2,1] => 1001011
[3,7,4,5,1,6,8,2] => [5,8,3,7,4,1,6,2] => [3,7,4,6,8,1,5,2] => 0001011
[4,6,8,1,2,5,7,3] => [8,1,7,4,2,6,5,3] => [4,6,7,1,2,5,8,3] => 0000011
[4,6,8,5,1,3,7,2] => [5,8,2,4,7,6,3,1] => [4,6,7,2,3,8,5,1] => 0001011
[3,7,4,5,2,8,6,1] => [6,5,3,8,1,7,2,4] => [3,7,1,5,2,8,6,4] => 0001111
[3,7,8,4,6,1,5,2] => [6,5,3,8,1,4,7,2] => [3,7,8,1,5,4,6,2] => 0001101
[4,5,7,2,1,6,8,3] => [2,7,8,4,5,1,6,3] => [4,5,8,2,1,6,7,3] => 1000011
[4,5,1,6,8,3,7,2] => [5,7,8,4,1,6,3,2] => [4,6,8,1,7,3,5,2] => 0001011
[1,7,4,5,2,6,8,3] => [1,5,8,7,4,2,6,3] => [1,7,4,6,8,2,5,3] => 0001011
[4,3,1,8,5,7,2,6] => [3,4,7,2,8,1,5,6] => [8,2,4,3,1,7,5,6] => 0110011
[7,3,2,4,8,1,6,5] => [8,3,7,2,6,1,4,5] => [6,3,2,7,1,4,8,5] => 0100111
[3,7,2,4,5,8,1,6] => [8,7,3,2,4,1,5,6] => [3,7,2,4,8,1,5,6] => 0000011
[8,3,2,4,6,1,7,5] => [6,3,8,2,7,4,1,5] => [7,3,2,4,8,1,6,5] => 0100111
[8,3,2,4,5,7,1,6] => [7,3,8,2,4,1,5,6] => [8,3,2,4,7,1,5,6] => 0100011
[3,6,7,2,4,1,8,5] => [4,7,3,2,8,6,1,5] => [3,6,8,2,4,1,7,5] => 0010011
[4,3,2,8,6,1,5,7] => [6,3,4,2,1,8,5,7] => [4,3,2,8,6,1,5,7] => 0110101
[5,7,1,8,4,3,6,2] => [7,6,4,8,5,3,1,2] => [5,8,4,3,6,1,7,2] => 0010111
[3,6,1,5,2,4,7,8] => [6,5,3,2,1,4,7,8] => [3,5,2,6,1,4,7,8] => 0001100
[3,7,6,2,5,4,1,8] => [4,5,3,6,1,7,2,8] => [3,7,6,1,5,4,2,8] => 0011110
[5,2,3,8,7,1,6,4] => [7,5,2,6,3,1,8,4] => [6,2,3,5,1,8,7,4] => 0001111
[7,5,2,4,1,3,8,6] => [4,5,1,2,7,8,3,6] => [8,5,1,4,2,3,7,6] => 0011011
[8,2,3,4,1,6,7,5] => [4,8,2,3,7,1,6,5] => [7,2,3,4,1,6,8,5] => 0010011
[5,3,6,2,1,4,8,7] => [2,6,5,1,3,4,8,7] => [5,2,1,6,3,4,8,7] => 1001101
[7,3,6,5,8,1,4,2] => [8,4,7,1,6,3,5,2] => [6,1,4,3,7,5,8,2] => 0010111
[7,3,4,8,6,1,5,2] => [6,5,8,1,3,7,4,2] => [7,1,5,3,4,8,6,2] => 0001111
[5,2,3,1,6,8,4,7] => [3,5,2,8,1,6,4,7] => [6,8,2,3,1,5,4,7] => 0101001
[7,4,3,8,1,6,5,2] => [8,5,4,6,7,1,2,3] => [7,4,1,6,5,2,8,3] => 0011111
[2,8,7,4,1,5,3,6] => [4,2,7,5,3,1,8,6] => [2,5,3,8,7,4,1,6] => 0011011
[6,5,1,4,3,8,7,2] => [5,6,4,2,7,3,8,1] => [4,2,8,7,3,6,5,1] => 0011111
[6,3,1,2,7,5,8,4] => [3,1,6,8,7,2,5,4] => [7,3,1,2,8,5,6,4] => 0100111
[7,2,1,6,5,8,4,3] => [2,7,4,8,6,1,5,3] => [6,4,2,1,8,5,7,3] => 1010111
[7,4,5,3,8,6,2,1] => [2,6,5,8,1,7,3,4] => [7,2,1,5,3,8,6,4] => 1001111
[6,2,4,3,5,8,1,7] => [8,6,4,2,3,5,1,7] => [4,2,6,3,5,8,1,7] => 0010101
[2,4,5,8,1,7,3,6] => [8,2,7,4,5,3,1,6] => [2,4,5,7,3,8,1,6] => 0000011
[7,2,5,4,8,3,1,6] => [3,8,7,5,1,2,4,6] => [5,1,7,3,2,8,4,6] => 0101011
[5,2,8,7,4,6,3,1] => [3,6,5,7,1,4,8,2] => [8,7,1,5,4,6,3,2] => 0101111
[2,4,7,6,3,1,8,5] => [3,2,6,4,7,8,5,1] => [2,4,8,5,7,6,3,1] => 0100111
[7,6,3,1,5,8,2,4] => [3,6,7,2,1,8,5,4] => [8,2,5,7,6,3,1,4] => 0100111
[6,3,2,4,5,8,1,7] => [8,3,6,2,4,5,1,7] => [6,3,2,4,5,8,1,7] => 0100101
[2,6,4,5,8,3,1,7] => [3,2,8,6,4,5,1,7] => [2,6,4,5,8,3,1,7] => 0100101
[3,7,4,8,6,2,5,1] => [5,6,3,8,4,7,2,1] => [3,7,4,8,6,2,5,1] => 0001111
[1,5,8,7,4,2,3,6] => [1,4,2,7,5,3,8,6] => [1,5,8,7,4,2,3,6] => 0010011
[1,7,3,8,4,2,5,6] => [1,4,8,7,3,5,2,6] => [1,7,3,5,8,4,2,6] => 0010011
[1,6,2,4,7,5,8,3] => [1,6,8,2,7,4,5,3] => [1,7,2,4,8,5,6,3] => 0000111
[1,6,2,7,4,3,8,5] => [1,6,4,7,8,2,3,5] => [1,8,4,2,7,3,6,5] => 0010111
[2,5,3,6,7,1,4,8] => [7,2,5,1,3,6,4,8] => [2,5,1,6,7,3,4,8] => 0001010
[7,5,6,2,1,4,8,3] => [2,6,8,1,7,5,4,3] => [7,5,8,2,1,4,6,3] => 1000111
[6,4,1,5,7,3,8,2] => [4,6,8,7,2,5,1,3] => [7,2,5,8,1,6,4,3] => 0010111
[6,1,5,7,3,4,2,8] => [6,4,7,3,1,5,2,8] => [7,3,4,1,5,6,2,8] => 0010110
[7,4,1,6,3,8,2,5] => [4,7,8,6,3,2,1,5] => [6,3,8,2,7,4,1,5] => 0010111
[7,5,6,2,4,8,1,3] => [8,6,1,2,7,5,4,3] => [7,5,6,1,4,8,2,3] => 0000111
[1,5,7,4,3,8,6,2] => [1,6,4,8,5,7,2,3] => [1,5,7,4,2,8,6,3] => 0010111
[5,4,1,3,6,2,7,8] => [4,5,2,6,3,1,7,8] => [6,2,3,5,4,1,7,8] => 0011100
[1,6,2,3,7,5,4,8] => [1,6,2,5,7,3,4,8] => [1,7,5,2,3,6,4,8] => 0001110
[7,6,2,3,1,5,8,4] => [3,6,2,7,4,8,5,1] => [8,4,5,7,6,2,3,1] => 0100111
[2,7,3,1,4,5,8,6] => [3,2,7,1,4,8,5,6] => [2,8,3,1,4,5,7,6] => 0100011
[8,4,3,1,7,6,5,2] => [3,4,8,5,6,7,1,2] => [7,6,5,1,8,4,3,2] => 0111111
[1,2,6,7,5,3,4,8] => [1,2,5,3,7,6,4,8] => [1,2,6,7,5,3,4,8] => 0001010
[1,2,6,8,7,4,5,3] => [1,2,5,7,4,6,8,3] => [1,2,6,8,7,4,5,3] => 0001011
[3,4,5,6,7,9,1,8,2] => [9,8,3,4,5,6,7,1,2] => [3,4,5,6,7,8,1,9,2] => 00000011
[3,4,5,6,8,2,7,1] => [7,8,3,4,5,6,2,1] => [3,4,5,6,8,2,7,1] => 0000011
[3,4,5,6,7,8,10,1,9,2] => [10,9,3,4,5,6,7,8,1,2] => [3,4,5,6,7,8,9,1,10,2] => 000000011
[3,7,5,2,1,6,4,8] => [2,5,3,7,6,4,1,8] => [3,6,4,7,5,2,1,8] => 1001110
[5,2,4,8,1,6,3,7] => [8,5,6,2,4,1,3,7] => [6,2,4,5,1,8,3,7] => 0001101
[4,6,8,5,2,1,7,3] => [2,5,8,4,7,6,3,1] => [4,6,7,3,8,5,2,1] => 1001011
[4,7,8,2,1,3,5,6] => [2,8,1,4,3,5,7,6] => [4,7,8,2,1,3,5,6] => 1000001
[5,7,8,3,2,4,6,1] => [6,3,8,2,5,4,7,1] => [5,7,8,3,2,4,6,1] => 0100101
[3,5,4,1,8,2,6,7] => [4,5,3,8,2,1,6,7] => [3,8,2,5,4,1,6,7] => 0011001
[3,6,1,8,4,2,7,5] => [6,4,3,8,7,1,2,5] => [3,7,4,1,8,2,6,5] => 0010111
[5,7,8,2,3,1,6,4] => [3,8,2,6,5,1,7,4] => [5,6,2,3,1,7,8,4] => 0100101
[6,7,8,2,5,1,3,4] => [5,8,1,3,2,6,7,4] => [6,7,8,1,3,5,2,4] => 0001001
[6,7,8,2,5,3,4,1] => [4,8,5,3,2,6,7,1] => [5,3,6,7,8,2,4,1] => 0011001
[4,5,2,7,8,6,1,3] => [6,5,1,4,2,8,7,3] => [4,5,1,7,8,6,2,3] => 0001101
[1,4,7,3,6,5,8,2] => [1,8,7,4,6,3,5,2] => [1,4,6,3,7,5,8,2] => 0000111
[6,4,1,8,5,7,3,2] => [4,3,6,7,8,2,5,1] => [8,3,2,7,5,6,4,1] => 0110111
[6,7,3,1,2,5,8,4] => [3,1,7,8,2,6,5,4] => [6,8,3,1,2,5,7,4] => 0100011
[6,5,8,2,1,4,7,3] => [2,8,7,1,6,5,4,3] => [6,5,7,2,1,4,8,3] => 1000111
[8,5,1,6,7,2,4,3] => [5,8,4,1,7,2,6,3] => [4,1,7,2,6,8,5,3] => 0011011
[6,1,8,5,7,3,2,4] => [6,3,7,2,8,1,5,4] => [8,3,2,7,5,6,1,4] => 0100111
[3,6,7,2,1,5,8,4] => [2,7,3,8,1,6,5,4] => [3,6,8,2,1,5,7,4] => 1000011
[7,8,4,3,5,1,6,2] => [5,6,4,8,3,1,7,2] => [7,8,4,3,6,1,5,2] => 0011101
[2,5,6,1,3,8,7,4] => [6,2,1,7,5,3,8,4] => [2,5,8,7,1,3,6,4] => 0000111
[2,8,1,3,5,7,6,4] => [8,2,1,6,3,7,5,4] => [2,7,6,1,3,5,8,4] => 0000111
[3,1,5,4,6,8,2,7] => [3,8,1,5,4,6,2,7] => [5,4,6,8,1,3,2,7] => 0101001
[7,2,5,6,1,3,8,4] => [6,7,1,8,2,5,3,4] => [8,1,5,7,2,3,6,4] => 0000111
[5,7,4,8,6,1,2,3] => [6,1,2,8,5,7,3,4] => [5,7,1,2,3,8,6,4] => 0000111
[7,2,6,4,5,1,3,8] => [5,7,1,6,4,2,3,8] => [6,4,7,1,5,2,3,8] => 0001110
[5,7,2,6,3,1,8,4] => [3,6,7,8,5,1,2,4] => [5,8,1,7,3,2,6,4] => 0100111
[4,7,3,5,2,6,8,1] => [8,5,7,4,3,2,6,1] => [4,7,3,5,2,6,8,1] => 0001011
[7,3,6,4,5,1,8,2] => [5,8,7,6,4,3,1,2] => [6,4,7,3,8,1,5,2] => 0001111
[4,5,8,2,7,3,6,1] => [6,8,7,4,5,3,2,1] => [4,5,7,3,8,2,6,1] => 0000111
[6,8,4,1,5,7,3,2] => [4,3,8,7,2,6,5,1] => [6,7,3,2,5,8,4,1] => 0110011
[4,5,1,7,2,6,8,3] => [5,7,8,4,1,2,6,3] => [4,8,1,6,7,2,5,3] => 0001011
[7,3,1,2,6,5,8,4] => [3,1,7,8,6,2,5,4] => [6,3,1,2,8,5,7,4] => 0100111
[7,3,4,2,8,1,6,5] => [8,4,7,3,6,1,2,5] => [6,3,4,1,7,2,8,5] => 0010111
[1,8,5,3,6,4,7,2] => [1,7,5,8,6,4,3,2] => [1,6,4,8,5,3,7,2] => 0001111
[8,3,1,6,5,4,2,7] => [3,8,4,5,6,2,1,7] => [6,5,4,2,8,3,1,7] => 0111101
[4,6,1,2,5,3,8,7] => [6,1,5,4,2,3,8,7] => [4,5,1,2,6,3,8,7] => 0001101
[6,7,5,1,3,2,8,4] => [5,3,1,7,8,6,4,2] => [3,1,6,8,4,7,5,2] => 0101011
[8,5,7,1,3,4,2,6] => [7,4,1,3,8,2,5,6] => [4,1,3,8,2,7,5,6] => 0010011
[5,1,8,7,3,2,6,4] => [5,3,7,6,1,2,8,4] => [6,3,1,8,7,2,5,4] => 0101111
[6,4,8,7,3,1,2,5] => [3,1,7,6,2,4,8,5] => [6,3,1,2,8,7,4,5] => 0100111
[4,8,5,6,2,1,7,3] => [2,6,7,4,8,5,1,3] => [4,8,5,7,2,1,6,3] => 1000111
[6,8,7,1,2,5,3,4] => [7,1,5,3,2,6,8,4] => [5,3,6,8,7,1,2,4] => 0001011
[5,2,7,6,8,3,4,1] => [4,5,8,3,2,7,6,1] => [7,6,8,3,5,2,4,1] => 0011011
[8,4,5,2,7,3,6,1] => [6,5,7,8,4,3,2,1] => [8,4,7,3,5,2,6,1] => 0001111
[6,3,7,4,5,2,8,1] => [8,5,6,7,4,3,2,1] => [7,4,6,3,5,2,8,1] => 0001111
[7,3,4,2,8,5,6,1] => [6,4,7,3,8,5,2,1] => [8,5,7,3,4,2,6,1] => 0010111
[8,2,7,4,5,3,6,1] => [6,8,5,7,4,3,2,1] => [7,4,5,3,8,2,6,1] => 0001111
[7,2,8,4,5,3,6,1] => [6,7,5,8,4,3,2,1] => [8,4,5,3,7,2,6,1] => 0001111
[6,3,8,2,7,4,5,1] => [5,8,6,7,4,3,2,1] => [7,4,6,3,8,2,5,1] => 0001111
[8,3,6,2,7,4,5,1] => [5,6,8,7,4,3,2,1] => [7,4,8,3,6,2,5,1] => 0001111
[3,4,7,8,2,6,5,1] => [5,6,3,4,8,1,7,2] => [3,4,7,8,1,6,5,2] => 0001101
[5,8,1,7,2,4,3,6] => [8,7,4,2,5,3,1,6] => [4,2,5,7,3,8,1,6] => 0010011
[6,8,1,7,2,4,3,5] => [8,7,4,2,3,6,1,5] => [4,2,6,7,3,8,1,5] => 0010011
[1,5,6,2,3,8,7,4] => [1,6,2,7,5,3,8,4] => [1,5,8,7,2,3,6,4] => 0000111
[6,4,1,5,3,7,8,2] => [4,6,8,5,2,1,7,3] => [5,2,7,8,1,6,4,3] => 0011101
[3,7,4,5,8,6,1,2] => [6,1,3,8,2,7,5,4] => [3,7,1,2,5,8,6,4] => 0000111
[1,5,4,7,2,8,6,3] => [1,7,6,5,4,8,2,3] => [1,5,4,8,6,2,7,3] => 0001111
[3,6,4,7,1,8,2,5] => [7,8,3,6,2,4,1,5] => [3,6,2,8,4,7,1,5] => 0000111
[2,6,3,7,1,8,4,5] => [7,2,6,8,4,3,1,5] => [2,8,4,6,3,7,1,5] => 0000111
[2,6,4,7,1,8,5,3] => [7,2,5,8,6,3,1,4] => [2,6,3,8,5,1,7,4] => 0001111
[2,6,4,7,1,8,3,5] => [7,2,8,6,3,4,1,5] => [2,6,3,8,4,7,1,5] => 0000111
[2,6,4,7,3,8,1,5] => [8,2,7,6,1,4,3,5] => [2,6,1,7,4,8,3,5] => 0000111
[1,6,5,7,3,8,2,4] => [1,8,7,2,6,5,3,4] => [1,6,5,7,2,8,3,4] => 0000111
[1,8,5,7,6,4,2,3] => [1,4,2,6,7,8,3,5] => [1,8,4,2,3,7,6,5] => 0010111
[6,1,4,2,7,8,3,5] => [6,4,8,1,3,2,7,5] => [7,8,1,4,3,6,2,5] => 0010101
[5,1,3,2,7,8,6,4] => [5,3,1,6,2,8,7,4] => [3,1,7,8,6,2,5,4] => 0101101
[5,6,7,1,4,8,2,3] => [7,8,2,1,5,6,4,3] => [5,6,8,2,4,7,1,3] => 0000011
[5,8,7,3,2,4,6,1] => [6,3,7,2,5,4,8,1] => [5,8,7,3,2,4,6,1] => 0100111
[5,7,1,4,6,8,2,3] => [7,8,2,1,5,4,6,3] => [5,8,2,4,6,7,1,3] => 0000011
[7,8,2,3,6,4,1,5] => [4,6,1,8,2,3,7,5] => [7,8,1,6,4,2,3,5] => 0010101
[6,7,4,3,2,8,1,5] => [8,3,4,7,1,6,2,5] => [6,7,4,3,1,8,2,5] => 0110011
[6,5,1,3,2,7,8,4] => [5,3,1,6,8,4,7,2] => [3,1,7,8,4,6,5,2] => 0101101
[4,1,3,5,2,8,7,6] => [4,5,1,3,2,7,8,6] => [5,1,3,4,2,8,7,6] => 0011011
[6,2,7,4,1,8,3,5] => [4,7,6,8,1,3,2,5] => [8,1,6,3,7,4,2,5] => 0010111
[6,1,7,8,3,4,2,5] => [6,4,8,3,2,1,7,5] => [7,8,3,4,2,6,1,5] => 0010101
[2,4,7,8,5,1,6,3] => [5,2,8,4,6,3,7,1] => [2,4,6,3,7,8,5,1] => 0001101
[1,3,2,5,8,4,7,6] => [1,3,2,8,5,7,4,6] => [1,3,2,5,7,4,8,6] => 0100011
[1,4,3,7,6,2,8,5] => [1,6,4,3,7,8,5,2] => [1,4,3,8,5,7,6,2] => 0010111
[1,4,2,7,6,3,8,5] => [1,4,6,2,7,8,5,3] => [1,8,5,7,6,2,4,3] => 0010111
[1,5,4,2,7,3,8,6] => [1,4,5,7,3,8,2,6] => [1,8,3,5,4,2,7,6] => 0011011
[3,6,5,1,7,8,2,4] => [5,6,3,1,8,2,7,4] => [3,7,8,1,6,5,2,4] => 0001101
[1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => [1,8,2,5,7,3,6,4] => 0000111
[1,4,3,8,2,5,7,6] => [1,8,4,3,2,7,5,6] => [1,4,3,7,2,5,8,6] => 0010011
[1,6,7,2,4,8,3,5] => [1,7,8,2,3,6,4,5] => [1,6,8,2,7,3,4,5] => 0000011
[2,6,3,5,8,1,4,7] => [8,2,6,1,3,5,4,7] => [2,6,1,5,8,3,4,7] => 0000101
[7,2,6,4,1,8,3,5] => [4,6,7,8,1,3,2,5] => [8,1,7,3,6,4,2,5] => 0010111
[3,6,1,5,8,2,7,4] => [6,8,3,7,1,5,2,4] => [3,7,1,5,8,2,6,4] => 0000111
[5,3,4,1,7,8,6,2] => [4,6,5,3,1,8,7,2] => [5,3,7,8,6,1,4,2] => 0011101
[4,7,6,5,8,2,3,1] => [3,8,2,4,6,7,5,1] => [4,7,6,5,8,2,3,1] => 0100111
[4,3,5,7,2,1,8,6] => [2,7,4,3,5,8,1,6] => [4,3,5,8,2,1,7,6] => 1010011
[3,4,1,7,6,5,8,2] => [4,8,3,1,6,7,5,2] => [3,7,6,5,8,1,4,2] => 0010111
[4,1,8,3,2,6,5,7] => [4,3,8,1,6,2,5,7] => [6,3,1,4,2,8,5,7] => 0110101
[4,3,7,5,1,6,8,2] => [5,7,4,3,8,2,6,1] => [4,3,8,2,6,7,5,1] => 0011011
[6,1,3,8,2,4,5,7] => [6,8,1,2,4,3,5,7] => [8,1,4,6,2,3,5,7] => 0000101
[8,2,7,4,3,5,1,6] => [5,8,4,7,3,1,2,6] => [7,4,3,8,1,5,2,6] => 0011011
[1,2,6,8,4,3,5,7] => [1,2,4,8,3,6,5,7] => [1,2,6,8,4,3,5,7] => 0010001
[5,8,4,1,3,7,2,6] => [4,8,2,7,5,1,3,6] => [5,7,2,8,4,1,3,6] => 0010011
[3,4,2,1,6,8,5,7] => [2,4,3,1,8,6,5,7] => [3,4,2,1,6,8,5,7] => 1010001
[5,8,6,4,7,3,2,1] => [2,3,7,6,5,8,4,1] => [5,8,6,4,7,3,2,1] => 1100111
[8,3,2,6,4,1,7,5] => [4,3,6,8,7,1,2,5] => [7,3,1,8,4,2,6,5] => 0110111
[8,5,1,3,4,6,7,2] => [5,8,2,3,7,4,6,1] => [7,2,3,4,6,8,5,1] => 0001011
[3,8,6,2,5,4,7,1] => [7,6,3,5,2,8,4,1] => [3,5,2,8,6,4,7,1] => 0001111
[8,1,7,4,2,5,3,6] => [8,4,7,5,3,2,1,6] => [5,3,7,4,2,8,1,6] => 0011011
[8,3,2,5,1,4,7,6] => [5,3,8,1,2,7,4,6] => [7,3,1,5,2,4,8,6] => 0101011
[8,4,5,1,2,6,7,3] => [5,1,7,8,4,2,6,3] => [8,4,6,7,1,2,5,3] => 0001011
[5,2,6,4,1,3,8,7] => [4,6,2,5,1,3,8,7] => [5,2,6,4,1,3,8,7] => 0011101
[7,1,3,5,2,8,6,4] => [7,5,1,6,3,8,2,4] => [8,6,1,3,5,2,7,4] => 0001111
[8,6,4,7,1,3,5,2] => [7,5,1,6,3,8,4,2] => [8,6,1,3,5,4,7,2] => 0001111
[8,6,3,5,7,2,1,4] => [2,7,6,1,3,8,5,4] => [8,6,2,1,5,7,3,4] => 1000111
[6,8,4,3,2,1,7,5] => [2,3,4,8,7,6,1,5] => [6,7,4,3,2,1,8,5] => 1110011
[2,1,8,5,4,3,7,6] => [2,1,4,5,8,7,3,6] => [2,1,7,5,4,3,8,6] => 1011011
[7,1,6,4,8,5,3,2] => [7,3,5,8,6,1,2,4] => [6,3,1,8,5,2,7,4] => 0101111
[7,4,2,6,3,8,5,1] => [5,4,8,7,6,2,1,3] => [6,2,7,4,1,8,5,3] => 0011111
[7,5,6,3,2,8,4,1] => [4,3,8,6,7,5,1,2] => [7,5,6,3,1,8,4,2] => 0110111
[8,4,7,5,6,3,1,2] => [3,1,6,8,7,5,4,2] => [7,5,8,4,6,3,1,2] => 0100111
[6,8,5,4,7,2,3,1] => [3,7,2,5,8,6,4,1] => [6,8,5,4,7,2,3,1] => 0101011
[2,5,7,3,4,8,1,6] => [8,2,7,3,5,1,4,6] => [2,5,7,3,8,1,4,6] => 0000011
[5,2,4,7,8,1,3,6] => [8,5,1,2,4,3,7,6] => [5,1,4,7,8,2,3,6] => 0001001
[10,8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,10,2,9] => [10,8,7,6,5,4,3,1,2,9] => 011111101
[4,8,5,6,1,2,7,3] => [6,1,7,4,8,5,2,3] => [4,8,5,7,1,2,6,3] => 0000111
[1,7,8,5,4,6,2,3] => [1,6,2,5,8,4,7,3] => [1,7,8,5,4,6,2,3] => 0001101
[6,3,1,4,5,8,7,2] => [3,6,7,2,4,5,8,1] => [8,7,2,4,5,6,3,1] => 0100111
[6,1,3,4,8,7,2,5] => [6,7,1,3,2,4,8,5] => [8,7,1,3,6,2,4,5] => 0000111
[6,8,7,1,5,2,4,3] => [7,5,4,2,1,6,8,3] => [4,2,5,1,6,8,7,3] => 0011011
[1,6,4,2,7,8,5,3] => [1,4,6,5,8,3,7,2] => [1,7,8,5,3,6,4,2] => 0011101
[5,1,2,4,6,7,3,8] => [5,1,7,2,4,6,3,8] => [6,7,1,2,4,5,3,8] => 0001010
[3,1,4,7,5,8,6,2] => [3,6,1,4,8,7,2,5] => [4,7,1,3,2,8,6,5] => 0100111
[8,2,3,6,4,1,7,5] => [4,6,1,8,7,3,2,5] => [7,1,3,8,4,2,6,5] => 0010111
[2,3,7,5,8,6,1,4] => [6,2,3,1,8,7,4,5] => [2,3,7,1,4,8,6,5] => 0000111
[3,8,5,1,2,4,7,6] => [5,1,3,2,8,7,4,6] => [3,7,5,1,2,4,8,6] => 0001011
[3,4,7,5,2,8,6,1] => [6,5,3,4,8,7,1,2] => [3,4,7,5,1,8,6,2] => 0001111
[1,3,6,4,8,2,7,5] => [1,8,3,6,7,4,2,5] => [1,3,7,4,6,2,8,5] => 0000111
[1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => 000010000
[1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => 000000100
[6,4,7,3,5,8,2,1] => [2,8,7,6,3,4,5,1] => [6,3,7,4,5,8,2,1] => 1000111
[8,6,1,2,3,7,5,4] => [6,1,2,5,8,7,4,3] => [7,5,4,8,6,1,2,3] => 0001111
[5,6,2,8,1,7,3,4] => [8,6,7,3,5,2,1,4] => [5,7,3,6,2,8,1,4] => 0000111
[5,2,3,8,1,4,6,7] => [8,5,2,1,3,4,6,7] => [5,2,8,1,3,4,6,7] => 0001001
[1,6,8,3,2,4,5,7] => [1,3,8,2,4,6,5,7] => [1,6,8,3,2,4,5,7] => 0100001
[2,5,3,1,8,4,6,7] => [3,2,5,8,1,4,6,7] => [2,8,3,1,5,4,6,7] => 0101001
[9,6,5,4,3,2,1,7,8] => [2,3,4,5,6,9,1,7,8] => [9,6,5,4,3,2,1,7,8] => 11111001
[10,7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,10,1,8,9] => [10,7,6,5,4,3,2,1,8,9] => 111111001
[9,8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,9,7] => [9,8,5,4,3,2,1,6,7] => 11110011
[8,6,5,2,4,3,7,1] => [7,5,4,2,6,8,3,1] => [4,2,8,6,5,3,7,1] => 0011111
[7,3,6,4,8,2,5,1] => [5,8,7,6,2,3,4,1] => [6,2,7,3,8,4,5,1] => 0001111
[7,3,5,4,8,2,6,1] => [6,8,7,5,3,2,4,1] => [5,3,7,2,8,4,6,1] => 0001111
[1,6,5,7,4,2,8,3] => [1,4,7,8,6,5,3,2] => [1,6,5,8,3,7,4,2] => 0010111
[1,2,7,4,8,5,6,3] => [1,2,6,7,8,5,4,3] => [1,2,8,5,7,4,6,3] => 0000111
[1,6,7,4,8,5,2,3] => [1,5,2,8,7,6,3,4] => [1,6,7,2,3,8,5,4] => 0001011
[2,6,7,4,8,5,1,3] => [5,2,1,8,7,6,3,4] => [2,6,7,1,3,8,5,4] => 0001011
[4,7,8,5,1,3,6,2] => [5,8,2,4,6,3,7,1] => [4,6,2,3,7,8,5,1] => 0001101
[1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => [1,4,5,2,8,3,6,7] => 0001001
[4,6,1,3,7,2,8,5] => [6,7,1,4,8,3,2,5] => [4,8,1,3,7,2,6,5] => 0000111
[1,6,3,4,8,5,2,7] => [1,5,8,2,6,4,3,7] => [1,6,2,4,8,5,3,7] => 0001101
[1,7,3,4,8,5,6,2] => [1,6,7,3,8,5,4,2] => [1,8,5,7,3,4,6,2] => 0000111
[3,2,7,5,8,4,6,1] => [6,3,2,8,7,4,5,1] => [3,2,7,4,8,5,6,1] => 0100111
[9,1,2,3,4,5,8,7,6] => [9,1,2,3,4,7,8,5,6] => [8,7,1,2,3,4,5,9,6] => 00000111
[5,6,3,4,2,8,7,1] => [7,4,6,3,5,2,8,1] => [5,6,3,4,2,8,7,1] => 0010111
[7,5,8,2,3,6,4,1] => [4,6,1,8,7,3,5,2] => [7,1,3,8,5,6,4,2] => 0010111
[6,3,5,4,7,8,1,2] => [8,1,6,5,3,4,7,2] => [5,3,6,4,7,8,1,2] => 0001101
[2,5,6,4,1,3,8,7] => [4,2,1,6,5,3,8,7] => [2,5,6,4,1,3,8,7] => 0010101
[4,6,1,3,5,7,2,8] => [6,7,1,4,3,5,2,8] => [4,7,1,3,5,6,2,8] => 0000110
[4,5,3,2,1,8,6,7] => [2,3,5,4,1,8,6,7] => [4,5,3,2,1,8,6,7] => 1101001
[3,6,5,8,1,7,4,2] => [8,4,3,7,6,5,1,2] => [3,6,5,7,4,1,8,2] => 0010111
[4,5,2,8,6,7,1,3] => [7,5,1,4,2,8,6,3] => [4,5,1,8,6,7,2,3] => 0001011
[4,5,2,8,6,7,3,1] => [3,7,5,4,1,8,6,2] => [4,5,1,8,6,7,3,2] => 0101011
[3,2,4,5,8,6,1,7] => [6,3,2,4,5,8,1,7] => [3,2,4,5,8,6,1,7] => 0100101
[4,5,2,1,3,8,6,7] => [2,5,1,4,3,8,6,7] => [4,5,2,1,3,8,6,7] => 1001001
[3,4,5,8,6,1,7,2] => [6,8,3,4,5,7,2,1] => [3,4,5,7,2,8,6,1] => 0000111
[3,4,5,8,6,1,2,7] => [6,1,3,4,5,8,2,7] => [3,4,5,8,6,1,2,7] => 0000101
[6,4,1,3,7,8,2,5] => [4,6,2,8,1,3,7,5] => [7,8,2,6,4,1,3,5] => 0010101
[4,3,7,8,1,5,6,2] => [8,6,4,3,1,5,7,2] => [4,3,6,1,5,7,8,2] => 0010101
[7,3,1,2,5,4,8,6] => [3,1,7,5,2,8,4,6] => [5,3,1,2,8,4,7,6] => 0101011
[1,5,8,2,4,3,7,6] => [1,8,4,2,5,7,3,6] => [1,4,2,5,7,3,8,6] => 0010011
[1,4,8,2,5,3,7,6] => [1,8,5,4,2,7,3,6] => [1,4,5,2,7,3,8,6] => 0001011
[2,4,7,8,3,6,5,1] => [5,2,6,4,8,1,7,3] => [2,4,7,8,1,6,5,3] => 0001101
[1,8,7,3,2,4,5,6] => [1,3,7,2,4,5,8,6] => [1,8,7,3,2,4,5,6] => 0100011
[8,6,2,7,3,4,5,1] => [5,6,8,2,4,7,3,1] => [7,2,4,8,6,3,5,1] => 0001111
[6,8,5,1,7,4,2,3] => [5,4,1,8,7,6,2,3] => [6,7,4,1,8,5,2,3] => 0011011
[4,8,5,2,3,1,6,7] => [3,5,2,4,8,1,6,7] => [4,8,5,2,3,1,6,7] => 0101001
[5,4,8,3,1,2,6,7] => [3,1,8,5,4,2,6,7] => [5,4,8,3,1,2,6,7] => 0101001
[6,8,5,1,7,3,4,2] => [5,4,8,1,7,6,3,2] => [6,7,1,4,3,8,5,2] => 0011011
[1,7,8,3,6,5,2,4] => [1,5,6,3,8,2,7,4] => [1,7,8,3,6,5,2,4] => 0001101
[4,6,7,5,1,8,2,3] => [5,7,1,4,8,6,2,3] => [4,6,8,1,7,5,2,3] => 0001011
[7,3,6,8,4,1,2,5] => [4,1,8,7,3,2,6,5] => [7,3,6,8,4,1,2,5] => 0010011
[6,3,7,5,1,2,8,4] => [5,1,7,6,8,4,3,2] => [8,4,6,3,7,5,1,2] => 0001111
[6,2,3,8,7,4,5,1] => [5,6,2,7,4,3,8,1] => [8,7,4,6,2,3,5,1] => 0001111
[1,4,3,6,8,5,2,7] => [1,5,4,3,8,6,2,7] => [1,4,3,6,8,5,2,7] => 0011001
[6,8,3,5,4,7,2,1] => [2,7,8,5,3,6,4,1] => [5,3,6,8,4,7,2,1] => 1001011
[8,2,7,6,4,1,3,5] => [4,6,1,7,3,8,2,5] => [8,1,3,7,6,4,2,5] => 0010111
[8,5,7,1,4,2,6,3] => [7,4,6,1,8,2,5,3] => [8,1,4,2,6,5,7,3] => 0010111
[4,8,2,5,6,3,7,1] => [7,8,6,4,2,5,3,1] => [4,6,2,5,8,3,7,1] => 0000111
[8,1,5,7,4,6,2,3] => [8,6,2,7,1,4,5,3] => [7,2,6,4,5,8,1,3] => 0000111
[2,7,1,4,8,3,6,5] => [7,2,8,1,6,3,4,5] => [2,6,1,8,3,4,7,5] => 0000111
[4,6,8,2,1,5,3,7] => [2,8,5,4,1,6,3,7] => [4,5,2,1,6,8,3,7] => 1001001
[3,4,5,8,1,6,2,7] => [8,6,3,4,5,1,2,7] => [3,4,5,6,1,8,2,7] => 0000101
[4,6,5,7,2,3,8,1] => [8,7,2,4,6,5,3,1] => [4,6,5,7,2,3,8,1] => 0000111
[5,3,6,7,4,8,1,2] => [8,1,5,7,3,6,4,2] => [6,7,3,5,4,8,1,2] => 0001011
[4,2,7,8,3,6,5,1] => [5,4,6,2,8,1,7,3] => [7,8,2,4,1,6,5,3] => 0011101
[3,5,7,8,4,2,1,6] => [2,4,3,8,5,1,7,6] => [3,5,7,8,4,2,1,6] => 1010001
[4,6,5,3,7,8,1,2] => [8,1,5,4,6,3,7,2] => [4,6,5,3,7,8,1,2] => 0001101
[5,6,2,8,3,4,7,1] => [7,6,8,3,5,2,4,1] => [5,8,3,6,2,4,7,1] => 0000111
[3,7,4,8,1,6,5,2] => [8,5,3,6,7,1,2,4] => [3,7,1,6,5,2,8,4] => 0001111
[4,8,2,7,5,3,1,6] => [3,5,7,4,8,1,2,6] => [4,8,1,7,5,3,2,6] => 0101011
[5,4,2,3,1,7,8,6] => [3,4,2,5,1,8,7,6] => [5,4,2,3,1,7,8,6] => 0111001
[4,3,1,5,2,6,7,8] => [3,4,5,2,1,6,7,8] => [5,2,4,3,1,6,7,8] => 0111000
[3,5,8,1,7,4,2,6] => [8,4,3,7,5,2,1,6] => [3,5,7,4,2,8,1,6] => 0010011
[5,7,1,2,4,8,3,6] => [7,1,8,2,5,3,4,6] => [5,8,1,2,7,3,4,6] => 0000011
[5,7,8,1,2,3,6,4] => [8,1,2,6,5,3,7,4] => [5,6,1,2,3,7,8,4] => 0000101
[7,5,1,4,3,8,2,6] => [5,7,4,2,8,1,3,6] => [4,2,8,1,7,5,3,6] => 0011011
[5,8,6,1,7,2,3,4] => [6,8,1,3,5,7,2,4] => [5,7,1,3,8,6,2,4] => 0000111
[4,2,8,7,3,6,5,1] => [5,4,6,2,7,1,8,3] => [8,7,2,4,1,6,5,3] => 0011111
[4,7,6,3,8,1,5,2] => [8,5,6,4,1,7,3,2] => [4,7,6,1,5,3,8,2] => 0001111
[3,7,1,4,8,2,5,6] => [7,8,3,1,2,5,4,6] => [3,8,1,5,7,2,4,6] => 0000011
[1,3,5,2,6,8,7,4] => [1,5,3,7,2,6,8,4] => [1,3,6,8,7,2,5,4] => 0001011
[4,7,5,6,2,8,1,3] => [8,6,1,4,7,5,2,3] => [4,7,5,6,1,8,2,3] => 0000111
[6,7,4,8,5,2,1,3] => [2,5,1,8,7,6,3,4] => [6,7,2,1,3,8,5,4] => 1001011
[8,7,5,1,6,3,2,4] => [5,3,7,1,6,2,8,4] => [6,3,1,8,7,5,2,4] => 0101111
[7,8,6,2,3,5,1,4] => [5,6,2,1,3,8,7,4] => [7,8,6,2,5,1,3,4] => 0001101
[4,1,6,7,8,2,5,3] => [4,8,5,1,2,6,7,3] => [5,1,6,7,8,2,4,3] => 0011001
[8,6,3,4,1,2,7,5] => [4,1,6,3,8,7,5,2] => [7,5,8,6,3,4,1,2] => 0010111
[7,4,5,8,3,6,2,1] => [2,6,8,7,4,3,5,1] => [7,4,8,3,5,6,2,1] => 1000111
[4,2,6,5,3,7,8,1] => [8,4,5,2,6,3,7,1] => [6,5,2,4,3,7,8,1] => 0011101
[6,1,7,3,5,8,4,2] => [6,4,8,7,2,1,5,3] => [7,2,8,4,1,5,6,3] => 0010111
[5,7,1,3,6,8,4,2] => [7,4,1,8,5,3,6,2] => [5,8,4,1,3,6,7,2] => 0010011
[4,5,1,7,6,8,3,2] => [5,3,8,4,1,7,6,2] => [4,7,6,8,3,1,5,2] => 0101011
[3,4,8,6,2,1,7,5] => [2,6,3,4,8,7,5,1] => [3,4,7,5,8,6,2,1] => 1000111
[2,7,3,1,6,8,4,5] => [3,2,7,8,4,1,6,5] => [2,8,4,6,7,3,1,5] => 0100011
[2,4,7,3,1,6,8,5] => [3,2,7,4,8,1,6,5] => [2,4,8,3,1,6,7,5] => 0100011
[7,2,4,3,1,8,6,5] => [3,4,7,1,6,8,2,5] => [8,6,1,4,3,2,7,5] => 0110111
[4,3,1,2,7,5,8,6] => [3,1,4,2,7,8,5,6] => [4,3,1,2,8,5,7,6] => 0110011
[7,4,3,1,2,5,8,6] => [3,1,4,7,2,8,5,6] => [8,4,3,1,2,5,7,6] => 0110011
[3,8,6,2,1,7,4,5] => [2,6,3,8,1,7,4,5] => [3,7,2,1,8,6,4,5] => 1000111
[8,1,7,6,2,5,4,3] => [8,6,4,5,2,7,1,3] => [5,4,2,7,6,1,8,3] => 0011111
[8,5,4,3,7,6,1,2] => [6,1,4,5,7,8,2,3] => [8,5,4,1,2,7,6,3] => 0011111
[4,8,1,3,6,7,5,2] => [8,5,1,4,7,3,6,2] => [4,7,5,1,3,6,8,2] => 0001011
[3,5,8,6,1,7,4,2] => [6,4,3,8,5,7,2,1] => [3,5,7,4,2,8,6,1] => 0010111
[1,4,8,6,7,3,5,2] => [1,5,7,4,3,8,6,2] => [1,4,8,6,7,3,5,2] => 0001011
[4,1,6,7,8,5,3,2] => [4,3,5,1,8,6,7,2] => [6,7,8,5,3,1,4,2] => 0111001
[3,7,8,6,4,1,5,2] => [4,6,3,5,2,8,7,1] => [3,5,2,7,8,6,4,1] => 0011101
[5,6,7,1,3,4,8,2] => [7,8,1,3,5,6,4,2] => [5,6,8,1,3,4,7,2] => 0000011
[6,5,1,2,7,3,4,8] => [5,1,6,2,7,3,4,8] => [7,1,2,6,5,3,4,8] => 0001110
[4,8,5,3,2,7,1,6] => [7,3,5,4,8,1,2,6] => [4,8,5,3,1,7,2,6] => 0101011
[5,6,8,7,2,4,3,1] => [3,4,7,1,5,6,8,2] => [5,6,8,7,1,4,3,2] => 0110011
[5,7,8,6,4,2,3,1] => [3,4,2,6,5,8,7,1] => [5,7,8,6,4,2,3,1] => 0110101
[6,8,7,5,1,3,2,4] => [5,3,1,2,7,6,8,4] => [3,1,6,8,7,5,2,4] => 0101011
[3,8,2,6,7,5,1,4] => [5,7,3,2,8,1,6,4] => [3,8,2,6,7,5,1,4] => 0001011
[6,7,4,1,8,2,5,3] => [4,7,8,5,3,6,2,1] => [5,3,6,8,2,7,4,1] => 0011011
[5,7,6,8,3,2,4,1] => [4,3,8,2,5,7,6,1] => [5,7,6,8,3,2,4,1] => 0110011
[1,7,5,3,6,8,2,4] => [1,8,5,2,7,3,6,4] => [1,7,5,2,6,8,3,4] => 0001011
[5,3,1,6,7,8,2,4] => [3,5,8,1,2,6,7,4] => [6,7,8,1,5,3,2,4] => 0101001
[6,3,1,5,7,8,2,4] => [3,6,8,1,2,5,7,4] => [7,8,1,5,6,3,2,4] => 0100101
[7,3,1,5,6,8,2,4] => [3,7,8,1,2,5,6,4] => [8,1,5,6,7,3,2,4] => 0100011
[3,4,7,8,6,1,2,5] => [6,1,3,4,2,8,7,5] => [3,4,7,8,6,1,2,5] => 0000101
[2,1,4,7,8,6,3,5] => [2,1,6,4,3,8,7,5] => [2,1,4,7,8,6,3,5] => 1000101
[2,4,5,8,1,6,3,7] => [8,2,6,4,5,1,3,7] => [2,4,5,6,1,8,3,7] => 0000101
[1,8,5,6,4,2,3,7] => [1,4,2,6,8,5,3,7] => [1,8,5,6,4,2,3,7] => 0010101
[3,5,8,1,6,7,4,2] => [8,4,3,7,5,1,6,2] => [3,5,7,4,1,6,8,2] => 0010011
[4,1,5,6,3,7,8,2] => [4,8,6,1,5,3,7,2] => [5,6,1,7,8,3,4,2] => 0010101
[5,6,1,7,4,8,3,2] => [6,3,8,7,5,1,4,2] => [5,7,3,1,8,4,6,2] => 0100111
[1,7,5,6,4,8,2,3] => [1,8,2,6,7,5,4,3] => [1,7,5,6,4,8,2,3] => 0000111
[2,4,8,5,7,3,1,6] => [3,2,7,4,8,1,5,6] => [2,4,8,3,1,7,5,6] => 0100011
[2,5,8,6,3,7,1,4] => [7,2,6,1,5,8,3,4] => [2,5,8,6,1,7,3,4] => 0000111
[7,2,5,3,1,6,8,4] => [3,5,7,8,1,2,6,4] => [8,1,6,7,3,2,5,4] => 0101011
[6,3,1,7,2,8,4,5] => [3,6,7,8,4,2,1,5] => [8,4,7,2,6,3,1,5] => 0100111
[4,1,2,7,6,8,3,5] => [4,1,8,2,3,7,6,5] => [7,6,8,1,2,4,3,5] => 0010011
[5,3,4,6,1,8,2,7] => [6,8,5,3,4,1,2,7] => [5,3,4,8,1,6,2,7] => 0001101
[6,4,5,7,3,8,2,9,1,10] => [9,8,7,6,4,5,3,2,1,10] => [6,4,5,7,3,8,2,9,1,10] => 000011110
[2,5,7,4,8,3,1,6] => [3,2,8,7,5,1,4,6] => [2,5,7,3,1,8,4,6] => 0100011
[3,5,7,2,8,4,1,6] => [4,8,3,7,5,2,1,6] => [3,5,7,2,8,4,1,6] => 0010011
[2,8,3,4,1,7,6,5] => [4,2,8,3,6,7,1,5] => [2,7,6,3,4,1,8,5] => 0010111
[2,6,7,1,4,5,8,3] => [7,2,8,1,4,6,5,3] => [2,6,8,1,4,5,7,3] => 0000011
[7,3,4,6,2,5,8,1] => [8,6,7,3,2,4,5,1] => [7,3,6,2,4,5,8,1] => 0000111
[1,6,7,3,5,8,4,2] => [1,4,8,7,2,6,5,3] => [1,6,7,2,5,8,4,3] => 0010011
[8,7,2,3,6,5,1,4] => [5,6,1,2,7,3,8,4] => [8,7,1,6,5,2,3,4] => 0001111
[2,8,1,5,7,6,4,3] => [8,2,4,6,1,7,5,3] => [2,7,6,4,1,5,8,3] => 0010111
[8,1,2,5,7,6,4,3] => [8,1,4,6,2,7,5,3] => [7,6,4,1,2,5,8,3] => 0010111
[8,7,2,6,1,5,3,4] => [6,7,5,3,1,2,8,4] => [5,3,8,7,1,6,2,4] => 0001111
[2,5,8,3,6,7,1,4] => [7,2,8,1,5,3,6,4] => [2,5,8,1,6,7,3,4] => 0000011
[6,2,5,3,4,7,1,8] => [7,6,5,3,2,4,1,8] => [5,3,6,2,4,7,1,8] => 0001110
[2,7,3,4,1,5,8,6] => [4,2,7,3,1,8,5,6] => [2,8,3,4,1,5,7,6] => 0010011
[7,3,1,6,2,5,8,4] => [3,7,6,8,1,2,5,4] => [8,1,6,3,2,5,7,4] => 0100111
[4,1,7,2,5,6,3,8] => [4,7,6,1,2,5,3,8] => [6,1,5,7,2,4,3,8] => 0010110
[4,2,6,8,3,5,1,7] => [5,4,8,2,3,6,1,7] => [6,8,2,4,3,5,1,7] => 0011001
[3,8,2,6,4,5,1,7] => [5,8,3,6,4,2,1,7] => [3,6,4,8,2,5,1,7] => 0001101
[7,1,5,8,2,4,3,6] => [7,8,4,2,1,3,5,6] => [4,2,8,1,7,3,5,6] => 0010011
[3,6,1,8,2,5,7,4] => [6,8,3,7,2,1,5,4] => [3,7,2,8,1,5,6,4] => 0000111
[7,2,1,8,5,3,6,4] => [2,7,5,8,6,4,1,3] => [6,4,8,5,2,1,7,3] => 1001111
[7,2,4,1,3,5,8,6] => [4,7,1,2,3,8,5,6] => [8,1,4,2,3,5,7,6] => 0010011
[5,2,4,6,1,7,8,3] => [6,5,8,2,4,1,7,3] => [7,8,2,4,5,1,6,3] => 0001101
[8,7,3,2,5,1,6,4] => [5,3,7,6,2,1,8,4] => [6,3,2,8,7,1,5,4] => 0101111
[3,6,4,1,2,5,8,7] => [4,1,3,6,2,5,8,7] => [3,6,4,1,2,5,8,7] => 0010101
[6,3,1,4,2,5,8,7] => [3,6,4,2,1,5,8,7] => [4,2,6,3,1,5,8,7] => 0110101
[5,2,3,1,4,6,8,7] => [3,5,2,1,4,6,8,7] => [5,2,3,1,4,6,8,7] => 0101001
[4,2,7,1,3,5,8,6] => [7,4,1,2,3,8,5,6] => [4,1,8,2,3,5,7,6] => 0010011
[3,5,4,1,6,2,8,7] => [4,5,3,6,2,1,8,7] => [3,6,2,5,4,1,8,7] => 0011101
[3,5,1,7,6,2,8,4] => [5,6,3,7,1,8,4,2] => [3,8,1,7,6,4,5,2] => 0001111
[4,6,7,3,1,8,2,5] => [3,7,8,4,1,6,2,5] => [4,6,8,1,7,3,2,5] => 0100011
[8,3,6,2,7,5,4,1] => [4,5,7,6,8,2,1,3] => [8,2,6,1,7,5,4,3] => 0011111
[8,4,2,6,5,3,7,1] => [7,4,8,5,6,3,2,1] => [6,5,3,8,4,2,7,1] => 0011111
[3,6,1,2,7,8,5,4] => [6,1,3,5,8,2,7,4] => [3,7,8,5,1,2,6,4] => 0001101
[8,5,1,2,4,3,6,7] => [5,1,4,2,8,3,6,7] => [4,1,2,8,5,3,6,7] => 0011001
[5,8,4,1,2,3,6,7] => [4,1,2,8,5,3,6,7] => [5,8,4,1,2,3,6,7] => 0010001
[2,8,5,7,1,4,3,6] => [7,2,4,1,8,3,5,6] => [2,4,1,8,3,7,5,6] => 0010011
[8,1,2,4,6,3,7,5] => [8,1,6,2,7,4,3,5] => [7,1,2,4,6,3,8,5] => 0000111
[7,6,1,4,2,3,8,5] => [6,4,2,1,7,8,5,3] => [4,2,8,5,7,6,1,3] => 0010111
[7,8,1,2,5,3,4,6] => [8,1,5,3,2,4,7,6] => [5,3,7,8,1,2,4,6] => 0001001
[1,8,4,7,5,2,3,6] => [1,5,2,7,8,4,3,6] => [1,8,4,7,5,2,3,6] => 0001011
[8,4,7,2,1,6,3,5] => [2,7,6,8,3,1,4,5] => [8,3,6,2,1,7,4,5] => 1000111
[7,4,2,5,3,6,1,8] => [6,4,7,5,3,2,1,8] => [5,3,7,4,2,6,1,8] => 0011110
[8,4,2,5,3,6,7,1] => [7,4,8,5,3,2,6,1] => [5,3,8,4,2,6,7,1] => 0011011
[3,6,5,2,4,7,8,1] => [8,5,3,2,6,4,7,1] => [3,6,5,2,4,7,8,1] => 0001101
[4,7,8,2,5,6,1,3] => [6,8,1,4,2,5,7,3] => [4,7,8,1,5,6,2,3] => 0000101
[2,8,5,4,6,7,1,3] => [7,2,1,5,8,4,6,3] => [2,8,5,4,6,7,1,3] => 0001011
[5,1,8,6,7,3,4,2] => [5,4,7,3,1,8,6,2] => [8,6,7,3,4,1,5,2] => 0011011
[8,4,5,2,6,7,1,3] => [7,5,1,8,4,2,6,3] => [8,4,5,1,6,7,2,3] => 0001011
[6,8,5,3,7,4,1,2] => [4,1,7,5,8,6,2,3] => [6,8,5,1,2,7,4,3] => 0011011
[6,8,3,2,4,1,5,7] => [4,3,8,2,1,6,5,7] => [6,8,3,2,4,1,5,7] => 0110001
[2,6,1,7,5,4,8,3] => [6,2,8,5,7,1,4,3] => [2,7,5,1,8,4,6,3] => 0001111
[7,5,1,3,2,8,4,6] => [5,3,1,7,8,2,4,6] => [3,1,8,2,7,5,4,6] => 0101011
[1,4,8,3,2,6,5,7] => [1,3,8,4,6,2,5,7] => [1,4,6,3,2,8,5,7] => 0100101
[1,8,3,4,2,5,7,6] => [1,4,8,3,2,7,5,6] => [1,7,3,4,2,5,8,6] => 0010011
[2,3,4,5,6,1,9,8,7] => [6,2,3,4,5,1,8,9,7] => [2,3,4,5,6,1,9,8,7] => 00001011
[7,4,3,6,5,1,2,8] => [5,1,4,6,7,2,3,8] => [7,4,1,2,6,5,3,8] => 0011110
[7,6,1,8,2,5,4,3] => [6,7,4,5,1,8,2,3] => [5,4,1,8,2,7,6,3] => 0011111
[4,6,1,7,2,5,8,3] => [6,7,8,4,2,1,5,3] => [4,8,2,7,1,5,6,3] => 0000111
[8,4,1,6,7,3,5,2] => [4,8,5,7,1,2,6,3] => [7,1,5,2,6,8,4,3] => 0011011
[4,8,2,3,7,1,5,6] => [7,8,2,4,1,5,3,6] => [4,8,2,5,7,1,3,6] => 0000011
[3,1,7,8,6,5,4,2] => [3,4,1,5,6,8,7,2] => [7,8,6,5,4,1,3,2] => 0111101
[8,6,7,1,2,5,4,3] => [7,1,4,5,2,8,6,3] => [5,4,1,2,8,6,7,3] => 0011011
[7,2,8,4,3,6,1,5] => [6,7,4,8,1,3,2,5] => [8,4,1,7,3,6,2,5] => 0010111
[1,6,3,5,8,2,7,4] => [1,8,6,7,3,5,2,4] => [1,7,3,5,6,2,8,4] => 0000111
[1,7,5,4,8,6,2,3] => [1,6,2,5,8,7,3,4] => [1,7,5,2,3,8,6,4] => 0001111
[1,4,2,8,5,6,7,3] => [1,4,7,2,8,5,6,3] => [1,8,5,6,7,2,4,3] => 0010011
[6,8,7,3,2,5,4,1] => [4,3,5,7,1,6,8,2] => [6,8,7,3,1,5,4,2] => 0111011
[7,3,8,6,4,2,5,1] => [5,4,6,8,2,7,3,1] => [7,2,8,6,4,3,5,1] => 0011111
[6,4,2,8,5,7,3,1] => [3,7,4,6,8,1,5,2] => [8,4,1,6,5,7,3,2] => 0110111
[5,4,2,8,6,7,1,3] => [7,4,1,5,2,8,6,3] => [5,4,1,8,6,7,2,3] => 0011011
[4,8,6,3,5,2,1,7] => [2,5,6,4,3,8,1,7] => [4,8,6,3,5,2,1,7] => 1001101
[5,7,3,2,8,6,4,1] => [4,3,6,8,5,7,2,1] => [5,7,3,2,8,6,4,1] => 0110111
[4,5,1,8,3,7,6,2] => [5,6,7,4,1,8,2,3] => [4,8,1,7,6,2,5,3] => 0001111
[4,5,1,6,8,2,7,3] => [5,8,7,4,1,6,2,3] => [4,6,7,1,8,2,5,3] => 0001011
[4,5,1,7,8,3,2,6] => [5,3,8,4,1,2,7,6] => [4,7,8,3,1,5,2,6] => 0101001
[1,6,3,7,2,4,8,5] => [1,7,6,2,8,3,4,5] => [1,8,2,6,3,4,7,5] => 0000111
[4,3,1,6,7,2,5,8] => [3,4,7,2,1,6,5,8] => [6,7,2,4,3,1,5,8] => 0110010
[8,4,1,2,6,5,7,3] => [4,1,8,7,6,3,5,2] => [6,3,7,5,8,4,1,2] => 0010111
[4,5,2,1,3,7,6,8] => [2,5,1,4,3,7,6,8] => [4,5,2,1,3,7,6,8] => 1001010
[4,7,8,1,5,2,3,6] => [8,5,2,4,1,3,7,6] => [4,5,2,7,8,1,3,6] => 0001001
[5,3,1,7,4,2,6,8] => [3,5,4,7,2,1,6,8] => [7,4,2,5,3,1,6,8] => 0111010
[7,2,4,6,1,3,8,5] => [6,7,1,2,8,4,3,5] => [8,1,4,7,2,3,6,5] => 0000111
[8,2,7,4,1,6,5,3] => [4,7,8,5,6,2,3,1] => [6,5,2,8,3,7,4,1] => 0011111
[5,4,1,2,8,6,3,7] => [4,1,5,6,3,8,2,7] => [8,6,3,5,4,1,2,7] => 0011101
[3,2,8,4,1,6,5,7] => [4,3,2,8,6,1,5,7] => [3,2,6,4,1,8,5,7] => 0110101
[3,7,6,4,1,5,8,2] => [4,6,3,7,1,8,5,2] => [3,8,1,5,7,6,4,2] => 0010111
[7,1,2,4,8,6,3,5] => [7,1,6,2,3,8,4,5] => [8,6,1,2,7,3,4,5] => 0000111
[3,6,1,4,8,2,5,7] => [6,8,3,1,2,4,5,7] => [3,8,1,6,2,4,5,7] => 0000101
[8,6,3,1,5,4,7,2] => [3,6,8,5,1,7,4,2] => [5,1,7,4,8,6,3,2] => 0101111
[2,7,6,4,5,1,8,3] => [5,2,8,6,4,7,1,3] => [2,7,6,4,8,1,5,3] => 0001111
[7,1,5,2,8,4,3,6] => [7,5,4,8,1,3,2,6] => [8,4,1,5,3,7,2,6] => 0011011
[6,8,2,7,4,1,3,5] => [4,7,2,8,3,6,1,5] => [6,8,2,3,7,4,1,5] => 0010011
[8,1,4,5,7,2,6,3] => [8,7,6,1,4,2,5,3] => [6,1,4,7,2,5,8,3] => 0000111
[6,8,3,7,1,4,5,2] => [7,5,8,1,4,6,3,2] => [6,8,1,4,5,3,7,2] => 0001011
[3,6,8,1,5,7,4,2] => [8,4,3,7,1,6,5,2] => [3,6,7,4,1,5,8,2] => 0010011
[3,8,1,5,7,4,2,6] => [8,4,3,7,1,2,5,6] => [3,7,4,1,8,2,5,6] => 0010011
[8,3,7,1,4,5,2,6] => [7,5,8,1,4,2,3,6] => [8,1,4,5,2,7,3,6] => 0001011
[4,5,6,8,1,3,7,2] => [8,7,1,4,5,6,3,2] => [4,5,6,7,1,3,8,2] => 0000011
[4,5,1,3,2,6,7,8] => [5,3,1,4,2,6,7,8] => [3,1,4,5,2,6,7,8] => 0101000
[4,7,8,3,5,1,6,2] => [5,6,8,4,3,1,7,2] => [4,7,8,3,6,1,5,2] => 0001101
[4,7,1,3,5,6,2,8] => [7,6,1,4,3,5,2,8] => [4,6,1,3,5,7,2,8] => 0000110
[5,2,8,1,4,6,7,3] => [8,5,7,1,2,4,6,3] => [7,1,5,2,4,6,8,3] => 0001011
[6,1,3,4,5,2,7,8] => [6,5,1,3,4,2,7,8] => [5,1,3,4,6,2,7,8] => 0001100
[7,2,5,1,3,8,6,4] => [5,7,1,6,2,8,3,4] => [8,6,1,7,2,3,5,4] => 0001111
[1,6,8,5,7,2,4,3] => [1,7,4,2,8,6,5,3] => [1,4,2,6,8,5,7,3] => 0010011
[6,5,2,7,8,4,3,1] => [3,4,8,5,6,2,7,1] => [6,5,2,7,8,4,3,1] => 0111101
[7,2,6,5,4,1,3,8] => [4,5,1,6,7,2,3,8] => [7,1,6,5,4,2,3,8] => 0011110
[1,3,6,7,5,2,4,8] => [1,5,3,2,7,6,4,8] => [1,3,6,7,5,2,4,8] => 0001010
[6,1,5,2,4,3,7,8] => [6,5,4,2,1,3,7,8] => [4,2,5,1,6,3,7,8] => 0011100
[6,5,4,3,2,1,8,9,7] => [2,3,4,5,6,1,9,8,7] => [6,5,4,3,2,1,8,9,7] => 11111001
[6,5,4,3,2,9,1,7,8] => [9,3,4,5,6,2,1,7,8] => [6,5,4,3,2,9,1,7,8] => 01111001
[6,5,8,1,4,7,2,3] => [8,7,2,1,6,5,4,3] => [6,5,7,2,4,8,1,3] => 0000111
[8,3,6,5,4,1,7,2] => [4,5,6,7,8,2,3,1] => [8,2,7,3,6,5,4,1] => 0011111
[6,7,3,5,4,1,8,2] => [4,5,8,7,1,6,2,3] => [6,7,1,8,2,5,4,3] => 0011011
[7,2,4,5,8,1,3,6] => [8,7,1,2,4,3,5,6] => [7,1,4,8,2,3,5,6] => 0000011
[4,8,5,7,1,2,3,6] => [7,1,2,4,8,3,5,6] => [4,8,1,2,3,7,5,6] => 0000011
[6,2,5,8,1,3,7,4] => [8,6,1,7,2,5,3,4] => [7,1,5,6,2,3,8,4] => 0000111
[6,2,5,1,7,8,3,4] => [5,6,8,3,2,1,7,4] => [7,8,3,6,2,5,1,4] => 0001101
[4,2,3,7,6,1,8,5] => [6,4,2,3,7,8,5,1] => [4,2,3,8,5,7,6,1] => 0010111
[4,2,6,3,1,5,7,8] => [3,6,4,1,2,5,7,8] => [4,1,6,3,2,5,7,8] => 0110100
[8,2,7,1,3,5,6,4] => [7,8,1,6,3,5,2,4] => [6,1,3,5,8,2,7,4] => 0000111
[5,8,2,3,1,4,7,6] => [3,8,2,1,5,7,4,6] => [5,7,2,3,1,4,8,6] => 0100011
[1,2,8,7,3,5,6,4] => [1,2,7,6,3,5,8,4] => [1,2,6,3,5,8,7,4] => 0000111
[7,1,6,4,3,2,5,8] => [7,3,4,6,2,1,5,8] => [6,4,3,2,7,1,5,8] => 0110110
[1,5,7,4,8,6,2,3] => [1,6,2,8,5,7,3,4] => [1,5,7,2,3,8,6,4] => 0000111
[6,1,5,7,3,8,2,4] => [6,8,7,2,1,5,3,4] => [7,2,5,8,1,6,3,4] => 0000111
[7,1,8,3,2,5,6,4] => [7,3,8,6,2,5,1,4] => [6,3,2,5,8,1,7,4] => 0100111
[2,7,3,4,1,6,8,5] => [4,2,7,3,8,1,6,5] => [2,8,3,4,1,6,7,5] => 0010011
[5,3,1,2,7,8,6,4] => [3,1,5,6,2,8,7,4] => [7,8,6,3,1,2,5,4] => 0101101
[1,2,7,8,6,4,3,5] => [1,2,4,6,3,8,7,5] => [1,2,7,8,6,4,3,5] => 0010101
[5,2,4,1,7,6,8,3] => [4,5,8,2,1,7,6,3] => [7,6,8,2,5,1,4,3] => 0011011
[8,5,7,6,2,4,1,3] => [4,6,1,2,7,8,3,5] => [8,1,4,2,3,7,6,5] => 0010111
[1,3,2,5,4,7,6,9,10,8] => [1,3,2,5,4,7,6,10,9,8] => [1,3,2,5,4,7,6,9,10,8] => 010101001
[1,2,4,3,6,7,5,9,10,8] => [1,2,4,3,7,6,5,10,9,8] => [1,2,4,3,6,7,5,9,10,8] => 001001001
[9,3,4,5,6,7,8,2,1] => [2,8,9,3,4,5,6,7,1] => [9,3,4,5,6,7,8,2,1] => 10000011
[10,3,4,5,6,7,8,9,2,1] => [2,9,10,3,4,5,6,7,8,1] => [10,3,4,5,6,7,8,9,2,1] => 100000011
[8,3,5,6,4,7,1,2] => [7,1,8,6,3,5,4,2] => [6,3,5,8,4,7,1,2] => 0000111
[8,4,1,3,5,7,6,2] => [4,8,2,6,3,7,5,1] => [7,6,2,3,5,8,4,1] => 0010111
[8,5,6,1,3,7,2,4] => [6,7,1,2,8,5,3,4] => [8,5,7,1,6,2,3,4] => 0000111
[5,4,3,8,1,7,2,6] => [8,7,4,5,3,2,1,6] => [5,4,3,7,2,8,1,6] => 0011011
[5,4,6,3,7,2,9,1,8] => [9,7,6,5,4,3,2,1,8] => [5,4,6,3,7,2,9,1,8] => 00011101
[5,4,7,3,6,2,9,1,8] => [9,6,7,5,4,3,2,1,8] => [5,4,7,3,6,2,9,1,8] => 00011101
[5,6,4,7,3,8,2,10,1,9] => [10,8,7,6,5,4,3,2,1,9] => [5,6,4,7,3,8,2,10,1,9] => 000011101
[7,2,4,6,5,1,8,3] => [5,6,7,3,8,4,2,1] => [8,3,4,7,2,6,5,1] => 0001111
[4,5,7,6,2,1,8,3] => [2,6,7,4,5,8,3,1] => [4,5,8,3,7,6,2,1] => 1000111
[2,5,7,6,1,8,4,3] => [6,2,4,7,5,8,3,1] => [2,5,8,4,3,7,6,1] => 0010111
[5,6,8,1,2,4,3,7] => [8,1,4,2,5,6,3,7] => [4,1,2,5,6,8,3,7] => 0010001
[8,1,2,4,3,7,5,6] => [8,1,4,2,7,5,3,6] => [4,1,2,7,5,8,3,6] => 0010011
[1,6,8,5,3,7,2,4] => [1,7,5,2,8,6,3,4] => [1,6,8,5,2,7,3,4] => 0001011
[3,2,6,7,5,1,8,4] => [5,3,2,7,8,6,4,1] => [3,2,6,8,4,7,5,1] => 0101011
[2,5,6,7,3,1,8,4] => [3,2,7,8,5,6,1,4] => [2,5,6,8,3,1,7,4] => 0100011
[5,7,8,3,6,2,4,1] => [4,6,8,2,5,3,7,1] => [5,7,8,2,6,3,4,1] => 0010101
[7,2,3,1,6,8,4,5] => [3,7,2,8,4,1,6,5] => [8,4,6,7,2,3,1,5] => 0100011
[6,2,3,1,5,7,4,8] => [3,6,2,7,1,5,4,8] => [7,2,3,1,5,6,4,8] => 0100110
[5,7,8,1,6,2,3,4] => [8,6,2,3,5,1,7,4] => [5,6,2,3,7,8,1,4] => 0000101
[1,5,3,8,7,2,6,4] => [1,7,5,6,3,2,8,4] => [1,6,3,5,2,8,7,4] => 0001111
[1,4,2,5,8,6,3,7] => [1,4,6,2,5,8,3,7] => [1,5,8,6,2,4,3,7] => 0010101
[1,6,2,7,5,4,3,8] => [1,6,4,5,7,2,3,8] => [1,7,5,4,2,6,3,8] => 0011110
[6,4,8,7,1,5,3,2] => [7,3,5,6,1,4,8,2] => [6,3,1,5,4,8,7,2] => 0101111
[4,8,2,1,5,7,3,6] => [2,8,7,4,1,3,5,6] => [4,7,2,1,8,3,5,6] => 1000011
[4,8,2,5,1,6,3,7] => [5,8,6,4,2,1,3,7] => [4,6,2,8,1,5,3,7] => 0001101
[5,1,7,3,6,4,2,8] => [5,4,6,7,1,2,3,8] => [7,1,6,4,2,5,3,8] => 0011110
[9,8,3,4,5,6,7,1,2] => [7,1,8,3,4,5,6,9,2] => [9,8,3,4,5,6,7,1,2] => 00000111
[9,8,2,3,4,5,6,1,7] => [6,8,2,3,4,5,1,9,7] => [9,8,2,3,4,5,6,1,7] => 00001011
[6,2,8,7,3,4,5,1] => [5,6,7,3,4,2,8,1] => [8,7,3,4,6,2,5,1] => 0001111
[9,4,5,6,7,8,2,1,3] => [2,8,1,9,4,5,6,7,3] => [9,4,5,6,7,8,2,1,3] => 10000011
[9,3,4,5,6,7,2,1,8] => [2,7,9,3,4,5,6,1,8] => [9,3,4,5,6,7,2,1,8] => 10000101
[11,2,1,3,4,5,6,7,8,9,10] => [2,11,1,3,4,5,6,7,8,9,10] => [11,2,1,3,4,5,6,7,8,9,10] => 1000000001
[12,11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,12,10] => [12,11,1,2,3,4,5,6,7,8,9,10] => 00000000011
[11,10,2,3,4,5,6,7,8,9,1] => [9,10,2,3,4,5,6,7,8,11,1] => [11,10,2,3,4,5,6,7,8,9,1] => 0000000111
[10,9,3,4,5,6,7,8,1,2] => [8,1,9,3,4,5,6,7,10,2] => [10,9,3,4,5,6,7,8,1,2] => 000000111
[10,9,2,3,4,5,6,7,1,8] => [7,9,2,3,4,5,6,1,10,8] => [10,9,2,3,4,5,6,7,1,8] => 000001011
[9,8,2,3,4,5,1,6,7] => [5,8,2,3,4,1,6,9,7] => [9,8,2,3,4,5,1,6,7] => 00010011
[7,3,4,8,5,6,2,1] => [2,6,7,3,8,5,4,1] => [8,5,7,3,4,6,2,1] => 1000111
[9,5,6,7,8,2,1,3,4] => [2,8,1,3,9,5,6,7,4] => [9,5,6,7,8,2,1,3,4] => 10000011
[7,3,6,8,4,5,2,1] => [2,5,7,8,4,3,6,1] => [8,4,6,7,3,5,2,1] => 1001011
[10,4,5,6,7,8,9,2,1,3] => [2,9,1,10,4,5,6,7,8,3] => [10,4,5,6,7,8,9,2,1,3] => 100000011
[9,3,4,5,6,2,1,7,8] => [2,6,9,3,4,5,1,7,8] => [9,3,4,5,6,2,1,7,8] => 10001001
[10,3,4,5,6,7,8,2,1,9] => [2,8,10,3,4,5,6,7,1,9] => [10,3,4,5,6,7,8,2,1,9] => 100000101
[11,3,4,5,6,7,8,9,10,2,1] => [2,10,11,3,4,5,6,7,8,9,1] => [11,3,4,5,6,7,8,9,10,2,1] => 1000000011
[12,2,1,3,4,5,6,7,8,9,10,11] => [2,12,1,3,4,5,6,7,8,9,10,11] => [12,2,1,3,4,5,6,7,8,9,10,11] => 10000000001
[5,3,1,6,8,2,7,4] => [3,5,8,7,2,6,1,4] => [6,7,2,8,3,1,5,4] => 0101011
[1,4,7,5,6,2,8,3] => [1,6,8,4,7,5,2,3] => [1,4,7,5,8,2,6,3] => 0000111
[3,7,2,8,5,1,6,4] => [5,8,3,7,6,2,4,1] => [3,6,2,7,4,8,5,1] => 0001111
[1,7,4,8,3,5,6,2] => [1,6,8,7,3,5,4,2] => [1,7,3,5,8,4,6,2] => 0000111
[4,6,2,3,8,1,7,5] => [8,6,2,4,7,3,1,5] => [4,7,2,3,6,1,8,5] => 0000111
[1,6,7,2,5,3,8,4] => [1,7,5,8,2,6,3,4] => [1,6,8,2,5,3,7,4] => 0001011
[6,4,7,5,1,8,3,2] => [5,3,7,8,6,1,2,4] => [6,3,1,8,2,7,5,4] => 0101111
[7,6,8,3,5,4,1,2] => [4,1,5,8,2,7,6,3] => [7,6,8,1,2,5,4,3] => 0011011
[5,3,1,4,8,6,2,7] => [3,5,6,2,4,8,1,7] => [8,6,2,4,5,3,1,7] => 0101101
[5,2,4,8,3,1,6,7] => [3,8,5,1,4,2,6,7] => [5,1,4,8,3,2,6,7] => 0101001
[8,7,3,5,4,1,6,2] => [4,5,6,7,1,2,8,3] => [8,7,1,6,2,5,4,3] => 0011111
[6,3,8,4,1,7,5,2] => [4,8,5,7,6,3,2,1] => [6,3,7,5,2,8,4,1] => 0011111
[7,4,5,1,8,6,2,3] => [5,6,2,8,3,7,1,4] => [7,2,3,8,6,1,5,4] => 0001111
[6,8,3,1,2,7,5,4] => [3,1,8,5,7,6,2,4] => [6,7,5,3,1,2,8,4] => 0101011
[8,1,5,7,6,3,2,4] => [8,3,6,2,1,7,5,4] => [7,6,3,2,5,8,1,4] => 0100111
[1,8,6,7,5,3,2,4] => [1,3,5,2,7,8,6,4] => [1,8,6,7,5,3,2,4] => 0101011
[7,3,2,6,1,8,4,5] => [6,3,7,8,4,2,1,5] => [8,4,7,3,2,6,1,5] => 0100111
[5,4,8,2,3,7,1,6] => [7,8,2,5,4,1,3,6] => [5,4,8,2,7,1,3,6] => 0001011
[1,2,4,7,8,3,6,5] => [1,2,8,4,6,3,7,5] => [1,2,4,6,3,7,8,5] => 0000101
[1,3,7,8,2,4,6,5] => [1,8,3,2,6,4,7,5] => [1,3,6,2,4,7,8,5] => 0000101
[2,7,8,1,3,4,6,5] => [8,2,1,3,6,4,7,5] => [2,6,1,3,4,7,8,5] => 0000101
[8,1,6,3,5,4,2,7] => [8,4,5,6,2,1,3,7] => [6,2,5,4,1,8,3,7] => 0011101
[7,2,5,3,6,8,4,1] => [4,8,7,5,3,1,6,2] => [5,3,7,1,6,8,4,2] => 0011011
[5,2,3,6,4,7,8,1] => [8,5,2,6,3,4,7,1] => [6,2,3,5,4,7,8,1] => 0001101
[6,4,8,7,3,5,1,2] => [5,1,7,6,3,4,8,2] => [6,3,8,7,4,5,1,2] => 0001111
[6,1,4,2,3,5,7,8] => [6,4,2,1,3,5,7,8] => [4,2,6,1,3,5,7,8] => 0010100
[6,5,1,8,3,7,4,2] => [5,4,6,7,8,3,1,2] => [8,3,7,4,1,6,5,2] => 0011111
[4,5,3,8,1,7,6,2] => [8,6,5,4,3,7,1,2] => [4,5,3,7,6,1,8,2] => 0001111
[5,7,6,3,8,2,4,1] => [4,8,6,2,5,7,3,1] => [5,7,6,2,8,3,4,1] => 0010111
[6,8,4,7,1,2,5,3] => [7,1,5,8,2,6,4,3] => [6,8,1,2,5,4,7,3] => 0001011
[1,3,7,6,8,4,5,2] => [1,5,3,8,4,7,6,2] => [1,3,7,6,8,4,5,2] => 0001011
[1,8,2,6,7,4,3,5] => [1,8,4,7,3,2,6,5] => [1,7,4,3,6,8,2,5] => 0010011
[1,8,7,6,3,5,4,2] => [1,4,5,6,2,7,8,3] => [1,8,7,6,2,5,4,3] => 0011111
[1,8,5,7,6,4,3,2] => [1,3,4,6,7,8,2,5] => [1,8,4,3,2,7,6,5] => 0110111
[4,2,8,5,6,1,3,7] => [6,4,1,2,8,5,3,7] => [4,1,8,5,6,2,3,7] => 0010101
[4,7,2,6,1,8,3,5] => [6,7,8,4,3,2,1,5] => [4,8,3,7,2,6,1,5] => 0000111
[8,7,3,5,2,1,6,4] => [2,5,7,6,3,1,8,4] => [6,3,8,7,2,1,5,4] => 1001111
[6,8,5,3,2,1,7,4] => [2,3,5,8,7,6,4,1] => [6,7,4,8,5,3,2,1] => 1101011
[6,2,4,1,7,8,3,5] => [4,6,8,2,3,1,7,5] => [7,8,2,6,3,4,1,5] => 0010101
[7,5,3,2,1,6,8,4] => [2,3,5,7,8,4,6,1] => [8,4,6,7,5,3,2,1] => 1101011
[8,6,7,3,2,1,5,4] => [2,3,7,5,1,8,6,4] => [5,3,2,1,8,6,7,4] => 1101011
[3,1,6,4,8,5,7,2] => [3,7,1,6,8,4,5,2] => [8,4,6,5,7,1,3,2] => 0100111
[8,2,6,1,3,7,4,5] => [6,8,1,7,4,2,3,5] => [7,4,8,1,6,2,3,5] => 0000111
[8,2,1,5,4,7,3,6] => [2,8,7,5,1,3,4,6] => [5,2,1,7,3,8,4,6] => 1001011
[6,8,1,3,4,2,5,7] => [8,4,1,3,2,6,5,7] => [4,1,3,6,8,2,5,7] => 0010001
[6,1,3,5,2,4,8,7] => [6,5,1,2,3,4,8,7] => [5,1,6,2,3,4,8,7] => 0001101
[6,1,3,5,8,7,2,4] => [6,7,1,2,3,5,8,4] => [8,7,1,5,6,2,3,4] => 0000111
[2,8,4,6,3,5,7,1] => [7,2,6,8,3,4,5,1] => [2,8,3,6,4,5,7,1] => 0000111
[4,8,1,3,6,2,5,7] => [8,6,1,4,2,3,5,7] => [4,6,1,8,2,3,5,7] => 0000101
[3,6,1,4,7,8,2,5] => [6,8,3,1,2,4,7,5] => [3,7,8,1,6,2,4,5] => 0000101
[2,5,3,6,8,1,4,7] => [8,2,5,1,3,6,4,7] => [2,5,1,6,8,3,4,7] => 0001001
[2,5,7,1,3,6,4,8] => [7,2,1,6,5,3,4,8] => [2,5,6,1,3,7,4,8] => 0000110
[2,8,3,5,7,4,6,1] => [6,2,8,7,3,4,5,1] => [2,7,3,8,4,5,6,1] => 0000111
[4,1,5,3,2,7,6,8] => [4,3,5,1,2,7,6,8] => [5,3,1,4,2,7,6,8] => 0111010
[2,4,3,6,7,1,5,8] => [7,2,4,3,1,6,5,8] => [2,4,3,6,7,1,5,8] => 0010010
[7,3,5,2,1,6,4,8] => [2,5,7,6,3,1,4,8] => [6,3,7,2,1,5,4,8] => 1001110
[2,5,6,1,4,3,7,8] => [6,2,4,1,5,3,7,8] => [2,4,1,5,6,3,7,8] => 0010100
[6,1,5,3,7,2,4,8] => [6,7,5,2,1,3,4,8] => [5,2,7,1,6,3,4,8] => 0001110
[2,7,5,1,6,8,3,4] => [5,2,7,1,8,3,6,4] => [2,8,1,6,7,5,3,4] => 0001011
[5,1,8,3,4,7,6,2] => [5,6,7,2,1,8,4,3] => [8,2,7,6,1,4,5,3] => 0001111
[4,1,8,3,5,7,6,2] => [4,6,7,1,2,8,5,3] => [8,1,5,7,6,2,4,3] => 0010111
[7,4,3,6,2,8,5,1] => [5,8,4,6,7,1,3,2] => [7,4,1,6,3,8,5,2] => 0011111
[7,2,6,1,4,3,5,8] => [6,7,4,1,3,2,5,8] => [4,1,7,3,6,2,5,8] => 0010110
[2,8,1,6,5,3,4,7] => [8,2,5,3,6,1,4,7] => [2,6,5,3,8,1,4,7] => 0001101
[5,3,2,1,8,7,4,6] => [2,3,5,7,1,4,8,6] => [8,7,3,2,1,5,4,6] => 1101011
[1,8,5,3,2,7,4,6] => [1,3,5,8,7,2,4,6] => [1,7,3,2,8,5,4,6] => 0101011
[1,8,4,7,2,3,5,6] => [1,7,2,8,3,5,4,6] => [1,8,2,3,5,7,4,6] => 0000011
[3,2,8,1,7,5,4,6] => [8,3,2,5,7,4,1,6] => [3,2,7,5,4,8,1,6] => 0101011
[7,5,8,2,6,4,3,1] => [3,4,6,8,7,2,5,1] => [7,2,8,5,6,4,3,1] => 0110111
[1,6,8,7,3,4,2,5] => [1,4,7,3,2,6,8,5] => [1,6,8,7,3,4,2,5] => 0010011
[2,5,6,3,7,1,4,8] => [7,2,6,1,5,3,4,8] => [2,5,6,1,7,3,4,8] => 0000110
[4,1,2,6,7,8,5,3] => [4,1,5,2,8,6,7,3] => [6,7,8,5,1,2,4,3] => 0011001
[7,6,2,1,4,8,5,3] => [2,6,5,3,7,8,4,1] => [8,5,3,4,7,6,2,1] => 1001111
[3,7,8,2,1,4,5,6] => [2,8,3,1,4,5,7,6] => [3,7,8,2,1,4,5,6] => 1000001
[1,8,6,7,2,4,5,3] => [1,7,5,2,4,8,6,3] => [1,5,2,4,8,6,7,3] => 0001011
[1,7,8,6,2,4,5,3] => [1,6,5,2,4,8,7,3] => [1,5,2,4,7,8,6,3] => 0001101
[2,1,4,3,6,5,10,7,9,8] => [2,1,4,3,6,5,10,9,7,8] => [2,1,4,3,6,5,9,7,10,8] => 101010011
[2,1,4,3,8,5,7,6,10,9] => [2,1,4,3,8,7,5,6,10,9] => [2,1,4,3,7,5,8,6,10,9] => 101001101
[2,1,4,3,10,9,7,5,6,8] => [2,1,4,3,7,5,9,6,10,8] => [2,1,4,3,10,9,7,5,6,8] => 101001011
[2,1,6,3,5,4,8,7,10,9] => [2,1,6,5,3,4,8,7,10,9] => [2,1,5,3,6,4,8,7,10,9] => 100110101
[2,1,6,3,5,4,10,7,9,8] => [2,1,6,5,3,4,10,9,7,8] => [2,1,5,3,6,4,9,7,10,8] => 100110011
[2,1,8,7,5,3,4,6,10,9] => [2,1,5,3,7,4,8,6,10,9] => [2,1,8,7,5,3,4,6,10,9] => 100101101
[4,1,3,2,6,5,8,7,10,9] => [4,3,1,2,6,5,8,7,10,9] => [3,1,4,2,6,5,8,7,10,9] => 011010101
[4,1,3,2,6,5,10,7,9,8] => [4,3,1,2,6,5,10,9,7,8] => [3,1,4,2,6,5,9,7,10,8] => 011010011
[4,1,3,2,8,5,7,6,10,9] => [4,3,1,2,8,7,5,6,10,9] => [3,1,4,2,7,5,8,6,10,9] => 011001101
[2,1,4,3,6,5,8,7,12,9,11,10] => [2,1,4,3,6,5,8,7,12,11,9,10] => [2,1,4,3,6,5,8,7,11,9,12,10] => 10101010011
[2,1,4,3,6,5,10,7,9,8,12,11] => [2,1,4,3,6,5,10,9,7,8,12,11] => [2,1,4,3,6,5,9,7,10,8,12,11] => 10101001101
[2,1,4,3,6,5,12,11,9,7,8,10] => [2,1,4,3,6,5,9,7,11,8,12,10] => [2,1,4,3,6,5,12,11,9,7,8,10] => 10101001011
[2,1,4,3,8,5,7,6,10,9,12,11] => [2,1,4,3,8,7,5,6,10,9,12,11] => [2,1,4,3,7,5,8,6,10,9,12,11] => 10100110101
[2,1,4,3,8,5,7,6,12,9,11,10] => [2,1,4,3,8,7,5,6,12,11,9,10] => [2,1,4,3,7,5,8,6,11,9,12,10] => 10100110011
[2,1,4,3,10,9,7,5,6,8,12,11] => [2,1,4,3,7,5,9,6,10,8,12,11] => [2,1,4,3,10,9,7,5,6,8,12,11] => 10100101101
[2,1,6,3,5,4,8,7,10,9,12,11] => [2,1,6,5,3,4,8,7,10,9,12,11] => [2,1,5,3,6,4,8,7,10,9,12,11] => 10011010101
[2,1,6,3,5,4,8,7,12,9,11,10] => [2,1,6,5,3,4,8,7,12,11,9,10] => [2,1,5,3,6,4,8,7,11,9,12,10] => 10011010011
[2,1,6,3,5,4,10,7,9,8,12,11] => [2,1,6,5,3,4,10,9,7,8,12,11] => [2,1,5,3,6,4,9,7,10,8,12,11] => 10011001101
[2,1,8,7,5,3,4,6,10,9,12,11] => [2,1,5,3,7,4,8,6,10,9,12,11] => [2,1,8,7,5,3,4,6,10,9,12,11] => 10010110101
[4,1,3,2,6,5,8,7,10,9,12,11] => [4,3,1,2,6,5,8,7,10,9,12,11] => [3,1,4,2,6,5,8,7,10,9,12,11] => 01101010101
[4,1,3,2,6,5,8,7,12,9,11,10] => [4,3,1,2,6,5,8,7,12,11,9,10] => [3,1,4,2,6,5,8,7,11,9,12,10] => 01101010011
[4,1,3,2,6,5,10,7,9,8,12,11] => [4,3,1,2,6,5,10,9,7,8,12,11] => [3,1,4,2,6,5,9,7,10,8,12,11] => 01101001101
[4,1,3,2,8,5,7,6,10,9,12,11] => [4,3,1,2,8,7,5,6,10,9,12,11] => [3,1,4,2,7,5,8,6,10,9,12,11] => 01100110101
[4,1,3,2,8,5,7,6,12,9,11,10] => [4,3,1,2,8,7,5,6,12,11,9,10] => [3,1,4,2,7,5,8,6,11,9,12,10] => 01100110011
[6,5,3,1,2,4,8,7,10,9,12,11] => [3,1,5,2,6,4,8,7,10,9,12,11] => [6,5,3,1,2,4,8,7,10,9,12,11] => 01011010101
[6,5,3,1,2,4,12,11,9,7,8,10] => [3,1,5,2,6,4,9,7,11,8,12,10] => [6,5,3,1,2,4,12,11,9,7,8,10] => 01011001011
[1,5,4,7,8,3,6,2] => [1,6,8,5,4,3,7,2] => [1,5,4,7,8,3,6,2] => 0001101
[1,4,8,5,7,3,6,2] => [1,6,7,4,8,3,5,2] => [1,4,8,3,7,5,6,2] => 0000111
[6,1,4,3,7,2,8,5] => [6,7,4,1,8,3,2,5] => [4,1,8,3,7,2,6,5] => 0010111
[4,3,7,8,2,5,1,6] => [5,8,4,3,2,1,7,6] => [4,3,7,8,2,5,1,6] => 0011001
[7,1,4,5,8,6,3,2] => [7,3,6,1,4,8,5,2] => [8,6,3,1,4,5,7,2] => 0100111
[1,7,4,5,6,8,3,2] => [1,3,8,7,4,5,6,2] => [1,7,4,5,6,8,3,2] => 0100011
[7,2,4,5,6,8,3,1] => [3,8,7,1,4,5,6,2] => [7,1,4,5,6,8,3,2] => 0100011
[2,7,4,5,6,8,3,1] => [3,2,8,7,4,5,6,1] => [2,7,4,5,6,8,3,1] => 0100011
[5,7,4,3,1,6,8,2] => [3,4,7,8,5,1,6,2] => [5,8,1,6,7,4,3,2] => 0110011
[2,4,7,8,3,1,6,5] => [3,2,8,4,6,1,7,5] => [2,4,6,3,1,7,8,5] => 0100101
[5,4,3,6,8,1,7,2] => [8,7,4,5,3,6,1,2] => [5,4,3,6,7,1,8,2] => 0011011
[3,7,4,5,8,1,6,2] => [8,6,3,7,4,1,5,2] => [3,7,4,6,1,5,8,2] => 0000111
[4,6,1,7,3,2,8,5] => [6,3,7,4,8,1,2,5] => [4,8,3,1,7,2,6,5] => 0100111
[1,7,3,6,4,2,8,5] => [1,4,6,7,8,2,3,5] => [1,8,2,7,4,3,6,5] => 0010111
[4,7,3,5,1,2,8,6] => [5,1,7,4,3,8,2,6] => [4,8,3,5,1,2,7,6] => 0001011
[1,6,4,2,3,5,8,7] => [1,4,2,6,3,5,8,7] => [1,6,4,2,3,5,8,7] => 0010101
[1,6,8,4,7,5,3,2] => [1,3,5,7,8,6,2,4] => [1,6,8,3,2,7,5,4] => 0101011
[8,7,3,1,5,2,6,4] => [3,7,5,6,2,1,8,4] => [6,2,5,3,1,8,7,4] => 0101111
[8,7,3,6,1,4,5,2] => [6,5,7,1,4,3,8,2] => [8,7,1,4,5,3,6,2] => 0001111
[8,7,1,4,6,3,5,2] => [7,5,6,1,3,4,8,2] => [6,1,5,3,4,8,7,2] => 0001111
[6,8,2,1,3,7,5,4] => [2,8,1,5,7,6,3,4] => [6,7,5,2,1,3,8,4] => 1001011
[2,8,7,1,3,5,4,6] => [7,2,1,5,3,4,8,6] => [2,5,1,3,8,7,4,6] => 0001011
[4,7,1,6,8,2,3,5] => [7,8,2,4,3,1,6,5] => [4,8,2,3,6,7,1,5] => 0000011
[8,1,7,5,2,6,3,4] => [8,5,7,2,6,3,1,4] => [6,2,7,5,3,8,1,4] => 0001111
[8,7,1,6,2,4,3,5] => [7,6,4,2,3,1,8,5] => [4,2,6,3,8,7,1,5] => 0010111
[3,8,5,1,7,6,2,4] => [5,8,3,1,6,7,2,4] => [3,7,6,1,8,5,2,4] => 0001111
[7,5,1,2,3,8,4,6] => [5,1,2,7,8,3,4,6] => [8,1,2,3,7,5,4,6] => 0001011
[4,3,5,2,6,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [4,3,5,2,6,1,7,8,9] => 00111000
[4,5,3,6,2,7,1,8,9] => [7,6,5,4,3,2,1,8,9] => [4,5,3,6,2,7,1,8,9] => 00011100
[4,5,3,6,2,9,1,8,7] => [9,6,5,4,3,2,8,1,7] => [4,5,3,6,2,8,1,9,7] => 00011011
[3,2,4,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [3,2,4,1,5,6,7,8,9,10] => 011000000
[3,4,2,5,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => [3,4,2,5,1,6,7,8,9,10] => 001100000
[4,3,5,2,6,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [4,3,5,2,6,1,7,8,9,10] => 001110000
[4,5,3,6,2,7,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => [4,5,3,6,2,7,1,8,9,10] => 000111000
[5,4,6,3,7,2,8,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [5,4,6,3,7,2,8,1,9,10] => 000111100
[5,6,8,3,7,4,10,1,9,2] => [10,9,8,7,5,6,3,4,1,2] => [5,6,7,3,8,4,9,1,10,2] => 000001111
[8,6,2,1,3,7,4,5] => [2,6,1,8,3,7,4,5] => [7,2,1,3,8,6,4,5] => 1000111
[6,8,2,5,3,1,7,4] => [3,5,8,7,1,6,2,4] => [6,7,1,8,3,2,5,4] => 0101011
[6,1,3,5,2,4,7,8] => [6,5,1,2,3,4,7,8] => [5,1,6,2,3,4,7,8] => 0001100
[4,8,7,2,1,5,6,3] => [2,7,6,4,1,5,8,3] => [4,6,2,1,5,8,7,3] => 1000111
[7,3,8,2,5,1,6,4] => [5,8,7,6,2,1,3,4] => [6,2,7,1,8,3,5,4] => 0001111
[4,5,3,8,6,1,2,7] => [6,1,5,4,3,8,2,7] => [4,5,3,8,6,1,2,7] => 0001101
[7,3,8,4,5,1,2,6] => [5,1,7,8,4,2,3,6] => [8,4,7,1,2,5,3,6] => 0001011
[7,8,4,6,1,3,5,2] => [6,5,1,8,3,4,7,2] => [7,8,1,3,5,4,6,2] => 0001101
[4,5,3,6,8,1,2,7] => [8,1,5,4,3,6,2,7] => [4,5,3,6,8,1,2,7] => 0001001
[7,8,6,2,1,4,3,5] => [2,6,4,1,3,8,7,5] => [4,2,1,7,8,6,3,5] => 1010101
[3,7,6,4,1,5,2,8] => [4,6,3,5,2,7,1,8] => [3,5,2,7,6,4,1,8] => 0011110
[8,6,3,1,2,7,5,4] => [3,1,6,5,8,7,4,2] => [7,5,4,8,6,3,1,2] => 0101111
[7,1,8,5,2,6,4,3] => [7,5,4,8,6,3,1,2] => [6,4,3,8,5,1,7,2] => 0011111
[5,2,8,4,7,1,3,6] => [7,5,1,8,2,3,4,6] => [8,1,5,2,3,7,4,6] => 0001011
[7,3,1,2,8,6,5,4] => [3,1,7,5,6,8,2,4] => [8,6,5,3,1,2,7,4] => 0101111
[8,7,1,3,2,6,5,4] => [7,3,1,5,6,2,8,4] => [3,1,6,5,2,8,7,4] => 0101111
[8,7,1,3,2,4,5,6] => [7,3,1,2,4,5,8,6] => [3,1,8,7,2,4,5,6] => 0100011
[5,1,8,2,4,6,3,7] => [5,8,6,2,1,4,3,7] => [6,2,8,1,4,5,3,7] => 0001101
[4,2,7,3,6,8,5,1] => [5,4,8,2,7,1,6,3] => [7,2,4,1,6,8,5,3] => 0011011
[3,1,5,8,6,7,2,4] => [3,7,1,2,5,8,6,4] => [5,8,6,7,1,3,2,4] => 0100011
[2,1,4,3,6,5,10,7,8,9] => [2,1,4,3,6,5,10,7,8,9] => [2,1,4,3,6,5,10,7,8,9] => 101010001
[2,1,4,3,8,5,6,7,10,9] => [2,1,4,3,8,5,6,7,10,9] => [2,1,4,3,8,5,6,7,10,9] => 101000101
[2,1,4,3,10,5,6,7,8,9] => [2,1,4,3,10,5,6,7,8,9] => [2,1,4,3,10,5,6,7,8,9] => 101000001
[2,1,6,3,4,5,8,7,10,9] => [2,1,6,3,4,5,8,7,10,9] => [2,1,6,3,4,5,8,7,10,9] => 100010101
[2,1,6,3,4,5,10,7,8,9] => [2,1,6,3,4,5,10,7,8,9] => [2,1,6,3,4,5,10,7,8,9] => 100010001
[2,1,8,3,4,5,6,7,10,9] => [2,1,8,3,4,5,6,7,10,9] => [2,1,8,3,4,5,6,7,10,9] => 100000101
[4,1,2,3,6,5,10,7,8,9] => [4,1,2,3,6,5,10,7,8,9] => [4,1,2,3,6,5,10,7,8,9] => 001010001
[4,1,2,3,8,5,6,7,10,9] => [4,1,2,3,8,5,6,7,10,9] => [4,1,2,3,8,5,6,7,10,9] => 001000101
[6,1,2,3,4,5,8,7,10,9] => [6,1,2,3,4,5,8,7,10,9] => [6,1,2,3,4,5,8,7,10,9] => 000010101
[2,1,4,3,6,5,8,7,12,9,10,11] => [2,1,4,3,6,5,8,7,12,9,10,11] => [2,1,4,3,6,5,8,7,12,9,10,11] => 10101010001
[2,1,4,3,6,5,10,7,8,9,12,11] => [2,1,4,3,6,5,10,7,8,9,12,11] => [2,1,4,3,6,5,10,7,8,9,12,11] => 10101000101
[2,1,4,3,6,5,12,7,8,9,10,11] => [2,1,4,3,6,5,12,7,8,9,10,11] => [2,1,4,3,6,5,12,7,8,9,10,11] => 10101000001
[2,1,4,3,8,5,6,7,10,9,12,11] => [2,1,4,3,8,5,6,7,10,9,12,11] => [2,1,4,3,8,5,6,7,10,9,12,11] => 10100010101
[2,1,4,3,8,5,6,7,12,9,10,11] => [2,1,4,3,8,5,6,7,12,9,10,11] => [2,1,4,3,8,5,6,7,12,9,10,11] => 10100010001
[2,1,4,3,10,5,6,7,8,9,12,11] => [2,1,4,3,10,5,6,7,8,9,12,11] => [2,1,4,3,10,5,6,7,8,9,12,11] => 10100000101
[2,1,4,3,12,5,6,7,8,9,10,11] => [2,1,4,3,12,5,6,7,8,9,10,11] => [2,1,4,3,12,5,6,7,8,9,10,11] => 10100000001
[2,1,6,3,4,5,8,7,10,9,12,11] => [2,1,6,3,4,5,8,7,10,9,12,11] => [2,1,6,3,4,5,8,7,10,9,12,11] => 10001010101
[2,1,6,3,4,5,8,7,12,9,10,11] => [2,1,6,3,4,5,8,7,12,9,10,11] => [2,1,6,3,4,5,8,7,12,9,10,11] => 10001010001
[2,1,6,3,4,5,10,7,8,9,12,11] => [2,1,6,3,4,5,10,7,8,9,12,11] => [2,1,6,3,4,5,10,7,8,9,12,11] => 10001000101
[2,1,6,3,4,5,12,7,8,9,10,11] => [2,1,6,3,4,5,12,7,8,9,10,11] => [2,1,6,3,4,5,12,7,8,9,10,11] => 10001000001
[2,1,8,3,4,5,6,7,10,9,12,11] => [2,1,8,3,4,5,6,7,10,9,12,11] => [2,1,8,3,4,5,6,7,10,9,12,11] => 10000010101
[2,1,8,3,4,5,6,7,12,9,10,11] => [2,1,8,3,4,5,6,7,12,9,10,11] => [2,1,8,3,4,5,6,7,12,9,10,11] => 10000010001
[2,1,10,3,4,5,6,7,8,9,12,11] => [2,1,10,3,4,5,6,7,8,9,12,11] => [2,1,10,3,4,5,6,7,8,9,12,11] => 10000000101
[2,1,12,3,4,5,6,7,8,9,10,11] => [2,1,12,3,4,5,6,7,8,9,10,11] => [2,1,12,3,4,5,6,7,8,9,10,11] => 10000000001
[4,1,2,3,6,5,8,7,10,9,12,11] => [4,1,2,3,6,5,8,7,10,9,12,11] => [4,1,2,3,6,5,8,7,10,9,12,11] => 00101010101
[4,1,2,3,6,5,8,7,12,9,10,11] => [4,1,2,3,6,5,8,7,12,9,10,11] => [4,1,2,3,6,5,8,7,12,9,10,11] => 00101010001
[4,1,2,3,6,5,10,7,8,9,12,11] => [4,1,2,3,6,5,10,7,8,9,12,11] => [4,1,2,3,6,5,10,7,8,9,12,11] => 00101000101
[4,1,2,3,6,5,12,7,8,9,10,11] => [4,1,2,3,6,5,12,7,8,9,10,11] => [4,1,2,3,6,5,12,7,8,9,10,11] => 00101000001
[4,1,2,3,8,5,6,7,10,9,12,11] => [4,1,2,3,8,5,6,7,10,9,12,11] => [4,1,2,3,8,5,6,7,10,9,12,11] => 00100010101
[4,1,2,3,8,5,6,7,12,9,10,11] => [4,1,2,3,8,5,6,7,12,9,10,11] => [4,1,2,3,8,5,6,7,12,9,10,11] => 00100010001
[4,1,2,3,10,5,6,7,8,9,12,11] => [4,1,2,3,10,5,6,7,8,9,12,11] => [4,1,2,3,10,5,6,7,8,9,12,11] => 00100000101
[4,1,2,3,12,5,6,7,8,9,10,11] => [4,1,2,3,12,5,6,7,8,9,10,11] => [4,1,2,3,12,5,6,7,8,9,10,11] => 00100000001
[6,1,2,3,4,5,8,7,10,9,12,11] => [6,1,2,3,4,5,8,7,10,9,12,11] => [6,1,2,3,4,5,8,7,10,9,12,11] => 00001010101
[6,1,2,3,4,5,8,7,12,9,10,11] => [6,1,2,3,4,5,8,7,12,9,10,11] => [6,1,2,3,4,5,8,7,12,9,10,11] => 00001010001
[6,1,2,3,4,5,10,7,8,9,12,11] => [6,1,2,3,4,5,10,7,8,9,12,11] => [6,1,2,3,4,5,10,7,8,9,12,11] => 00001000101
[6,1,2,3,4,5,12,7,8,9,10,11] => [6,1,2,3,4,5,12,7,8,9,10,11] => [6,1,2,3,4,5,12,7,8,9,10,11] => 00001000001
[8,1,2,3,4,5,6,7,10,9,12,11] => [8,1,2,3,4,5,6,7,10,9,12,11] => [8,1,2,3,4,5,6,7,10,9,12,11] => 00000010101
[8,1,2,3,4,5,6,7,12,9,10,11] => [8,1,2,3,4,5,6,7,12,9,10,11] => [8,1,2,3,4,5,6,7,12,9,10,11] => 00000010001
[10,1,2,3,4,5,6,7,8,9,12,11] => [10,1,2,3,4,5,6,7,8,9,12,11] => [10,1,2,3,4,5,6,7,8,9,12,11] => 00000000101
[12,1,2,3,4,5,6,7,8,9,10,11] => [12,1,2,3,4,5,6,7,8,9,10,11] => [12,1,2,3,4,5,6,7,8,9,10,11] => 00000000001
[1,5,4,8,7,3,2,6] => [1,3,7,5,4,2,8,6] => [1,5,4,8,7,3,2,6] => 0101011
[5,2,4,6,7,3,1,8] => [3,7,5,1,4,6,2,8] => [5,1,4,6,7,3,2,8] => 0101010
[4,7,1,3,5,8,2,6] => [7,8,1,4,3,2,5,6] => [4,8,1,3,7,2,5,6] => 0000011
[4,3,1,2,6,5,7,8] => [3,1,4,2,6,5,7,8] => [4,3,1,2,6,5,7,8] => 0110100
[7,1,2,4,3,6,8,5] => [7,1,4,2,8,3,6,5] => [4,1,2,8,3,6,7,5] => 0010011
[7,1,4,5,8,3,6,2] => [7,6,8,1,4,3,5,2] => [8,1,4,6,3,5,7,2] => 0000111
[7,1,2,4,3,6,5,8] => [7,1,4,2,6,3,5,8] => [4,1,2,6,3,7,5,8] => 0010110
[5,7,1,6,3,4,8,2] => [7,8,6,3,5,1,4,2] => [5,6,3,8,1,4,7,2] => 0000111
[6,1,5,2,8,7,4,3] => [6,5,4,7,1,2,8,3] => [8,7,4,1,5,2,6,3] => 0011111
[6,1,4,7,5,3,2,8] => [6,3,5,1,7,4,2,8] => [7,5,3,1,4,6,2,8] => 0101110
[4,5,2,1,7,3,6,8] => [2,5,7,4,1,3,6,8] => [4,7,2,1,5,3,6,8] => 1001010
[5,3,1,4,6,7,2,8] => [3,5,7,2,4,6,1,8] => [6,7,2,4,5,3,1,8] => 0101010
[6,5,1,3,4,7,2,8] => [5,6,2,3,7,4,1,8] => [7,2,3,4,6,5,1,8] => 0001110
[8,4,6,3,1,2,7,5] => [3,1,6,8,7,4,2,5] => [7,4,8,3,1,2,6,5] => 0100111
[3,8,6,4,1,5,7,2] => [4,6,3,8,1,7,5,2] => [3,7,1,5,8,6,4,2] => 0010111
[8,7,1,4,5,2,3,6] => [7,5,2,1,4,3,8,6] => [5,2,4,8,7,1,3,6] => 0001011
[3,8,6,4,5,1,7,2] => [5,7,3,6,4,8,1,2] => [3,8,6,4,7,1,5,2] => 0001111
[7,4,6,3,1,2,8,5] => [3,1,6,7,8,4,2,5] => [8,4,7,3,1,2,6,5] => 0100111
[4,8,3,5,7,1,6,2] => [7,6,8,4,3,1,5,2] => [4,8,3,6,1,5,7,2] => 0000111
[4,8,3,5,6,1,2,7] => [6,1,8,4,3,5,2,7] => [4,8,3,5,6,1,2,7] => 0000101
[4,7,2,5,6,8,1,3] => [8,7,1,4,2,5,6,3] => [4,7,1,5,6,8,2,3] => 0000011
[4,8,2,5,6,7,1,3] => [7,8,1,4,2,5,6,3] => [4,8,1,5,6,7,2,3] => 0000011
[1,4,7,2,6,5,8,3] => [1,7,8,4,6,2,5,3] => [1,4,6,2,8,5,7,3] => 0000111
[1,5,7,2,6,4,8,3] => [1,7,8,6,5,2,4,3] => [1,5,6,2,8,4,7,3] => 0000111
[7,2,4,6,1,8,3,5] => [6,7,8,2,3,4,1,5] => [8,2,7,3,4,6,1,5] => 0000111
[6,1,4,5,8,2,3,7] => [6,8,2,1,4,5,3,7] => [8,2,4,5,6,1,3,7] => 0000101
[1,7,6,2,8,5,4,3] => [1,6,4,5,7,8,3,2] => [1,8,5,4,3,7,6,2] => 0011111
[1,2,7,8,3,4,6,5] => [1,2,8,3,6,4,7,5] => [1,2,6,3,4,7,8,5] => 0000101
[1,7,6,8,3,4,2,5] => [1,4,8,3,2,7,6,5] => [1,7,6,8,3,4,2,5] => 0010011
[7,1,4,5,8,3,2,6] => [7,3,8,1,4,2,5,6] => [8,3,1,4,7,2,5,6] => 0100011
[5,1,3,4,8,2,7,6] => [5,8,1,3,4,7,2,6] => [7,1,3,4,5,2,8,6] => 0001011
[8,7,3,6,1,4,2,5] => [6,4,7,1,2,3,8,5] => [8,7,1,4,2,6,3,5] => 0010111
[8,2,1,5,6,4,7,3] => [2,8,7,6,1,5,4,3] => [6,2,1,5,7,4,8,3] => 1000111
[2,1,5,6,3,8,7,4] => [2,1,6,7,5,3,8,4] => [2,1,5,8,7,3,6,4] => 1000111
[7,2,5,1,3,6,8,4] => [5,7,1,8,2,3,6,4] => [8,1,6,7,2,3,5,4] => 0001011
[8,4,7,3,1,2,6,5] => [3,1,7,8,6,2,4,5] => [6,3,1,2,8,4,7,5] => 0100111
[1,8,7,3,5,2,6,4] => [1,5,7,6,3,2,8,4] => [1,6,3,8,7,2,5,4] => 0001111
[4,7,8,5,2,1,6,3] => [2,5,8,4,6,3,7,1] => [4,6,3,7,8,5,2,1] => 1001101
[3,1,8,2,6,5,7,4] => [3,8,1,7,6,2,5,4] => [6,1,3,2,7,5,8,4] => 0100111
[1,3,8,4,6,5,2,7] => [1,5,3,6,8,2,4,7] => [1,3,8,2,6,5,4,7] => 0001101
[5,6,2,8,4,1,7,3] => [4,8,6,7,5,3,2,1] => [5,7,3,6,2,8,4,1] => 0010111
[6,7,2,4,8,5,1,3] => [5,8,2,1,7,6,4,3] => [6,7,2,4,8,5,1,3] => 0001011
[6,7,3,2,8,5,1,4] => [5,3,8,2,7,6,1,4] => [6,7,3,2,8,5,1,4] => 0101011
[7,2,8,3,5,6,1,4] => [6,7,8,1,3,5,2,4] => [8,1,5,7,3,6,2,4] => 0000111
[7,2,3,8,4,6,1,5] => [6,7,2,8,1,4,3,5] => [8,2,7,4,6,1,3,5] => 0000111
[1,7,3,4,8,5,2,6] => [1,5,8,2,7,3,4,6] => [1,7,2,8,5,3,4,6] => 0001011
[1,7,3,8,5,4,2,6] => [1,4,5,8,7,2,3,6] => [1,7,2,8,5,4,3,6] => 0011011
[7,2,8,4,5,3,1,6] => [3,5,7,8,4,2,1,6] => [8,4,7,2,5,3,1,6] => 0101011
[1,5,8,3,4,6,2,7] => [1,6,8,3,5,4,2,7] => [1,5,8,3,4,6,2,7] => 0000101
[1,4,7,6,2,3,8,5] => [1,6,2,4,7,8,5,3] => [1,4,8,5,7,6,2,3] => 0000111
[1,4,2,3,7,8,6,5] => [1,4,2,3,6,8,7,5] => [1,4,2,3,7,8,6,5] => 0010101
[6,7,1,2,4,8,3,5] => [7,1,8,2,3,6,4,5] => [6,8,1,2,7,3,4,5] => 0000011
[7,5,6,2,1,8,3,4] => [2,6,8,3,7,5,1,4] => [7,5,8,3,6,2,1,4] => 1000111
[7,3,4,8,1,2,6,5] => [8,1,7,3,6,2,4,5] => [6,3,7,1,2,4,8,5] => 0000111
[6,2,1,5,7,8,4,3] => [2,6,4,8,1,5,7,3] => [7,8,4,2,1,5,6,3] => 1010101
[5,7,1,6,4,8,3,2] => [7,3,8,6,5,1,4,2] => [5,6,3,1,8,4,7,2] => 0100111
[1,7,8,6,4,2,5,3] => [1,4,6,5,3,8,7,2] => [1,5,3,7,8,6,4,2] => 0011101
[3,1,5,7,4,8,2,6] => [3,8,1,7,5,2,4,6] => [5,7,1,3,2,8,4,6] => 0100011
[7,2,4,6,1,5,8,3] => [6,7,8,2,1,4,5,3] => [8,2,7,1,4,5,6,3] => 0000111
[2,6,3,5,1,7,8,4] => [5,2,6,8,3,1,7,4] => [2,7,8,3,6,1,5,4] => 0001101
[1,4,6,3,2,5,8,7] => [1,3,6,4,2,5,8,7] => [1,4,6,3,2,5,8,7] => 0100101
[1,4,6,3,2,8,5,7] => [1,3,6,4,8,2,5,7] => [1,4,8,3,2,6,5,7] => 0100101
[1,4,6,3,8,2,5,7] => [1,8,6,4,2,3,5,7] => [1,4,6,2,8,3,5,7] => 0000101
[5,2,6,7,4,1,8,3] => [4,7,5,8,3,6,2,1] => [6,8,3,5,2,7,4,1] => 0011011
[4,5,8,1,6,3,7,2] => [8,7,6,4,5,1,3,2] => [4,5,6,1,7,3,8,2] => 0000111
[5,2,6,8,1,4,3,7] => [8,5,4,1,2,6,3,7] => [4,1,5,2,6,8,3,7] => 0011001
[2,7,3,1,5,8,6,4] => [3,2,7,6,1,8,5,4] => [2,8,6,3,1,5,7,4] => 0100111
[2,6,3,7,4,1,8,5] => [4,2,7,6,8,1,3,5] => [2,8,1,6,4,3,7,5] => 0010111
[2,1,4,8,5,3,7,6] => [2,1,5,4,8,7,3,6] => [2,1,4,7,5,3,8,6] => 1001011
[2,7,3,8,4,1,6,5] => [4,2,8,7,6,3,1,5] => [2,6,3,7,4,1,8,5] => 0010111
[2,6,3,1,5,4,8,7] => [3,2,6,5,1,4,8,7] => [2,5,3,1,6,4,8,7] => 0101101
[5,3,8,1,4,6,2,7] => [8,6,5,1,3,4,2,7] => [5,1,6,3,4,8,2,7] => 0001101
[4,5,8,1,3,6,2,7] => [8,6,1,4,5,3,2,7] => [4,5,6,1,3,8,2,7] => 0000101
[1,6,3,2,8,7,4,5] => [1,3,6,7,4,2,8,5] => [1,8,7,4,6,3,2,5] => 0100111
[2,8,1,7,5,4,6,3] => [8,2,6,5,7,4,1,3] => [2,7,5,4,6,1,8,3] => 0001111
[7,6,2,1,3,8,5,4] => [2,6,1,5,7,8,4,3] => [8,5,4,7,6,2,1,3] => 1001111
[5,4,8,7,1,3,6,2] => [7,6,1,5,4,3,8,2] => [5,4,6,1,3,8,7,2] => 0001111
[6,1,8,2,5,7,4,3] => [6,8,4,7,2,1,5,3] => [7,4,2,8,1,5,6,3] => 0010111
[2,8,5,7,1,6,4,3] => [7,2,4,6,8,1,5,3] => [2,8,4,1,6,5,7,3] => 0010111
[7,4,5,1,2,6,3,8] => [5,1,6,7,4,2,3,8] => [7,4,6,1,2,5,3,8] => 0001110
[4,7,5,8,2,6,3,1] => [3,6,8,4,7,1,5,2] => [4,7,1,8,5,6,3,2] => 0100111
[4,3,1,8,7,6,2,5] => [3,4,6,2,1,7,8,5] => [8,7,6,2,4,3,1,5] => 0110111
[5,6,4,2,8,1,7,3] => [8,4,6,7,5,3,1,2] => [5,7,3,6,4,1,8,2] => 0010111
[5,4,3,1,8,6,7,2] => [3,4,5,7,1,8,6,2] => [8,6,7,1,5,4,3,2] => 0111011
[5,4,3,6,1,7,8,2] => [6,8,4,5,3,1,7,2] => [5,4,3,7,8,1,6,2] => 0011101
[3,2,7,5,8,1,4,6] => [8,3,2,1,7,4,5,6] => [3,2,7,1,4,8,5,6] => 0100011
[3,2,7,8,5,6,1,4] => [6,3,2,1,8,5,7,4] => [3,2,7,8,5,6,1,4] => 0100101
[1,9,7,6,5,4,3,2,8] => [1,3,4,5,6,7,9,2,8] => [1,9,7,6,5,4,3,2,8] => 01111101
[1,10,8,7,6,5,4,3,2,9] => [1,3,4,5,6,7,8,10,2,9] => [1,10,8,7,6,5,4,3,2,9] => 011111101
[4,7,6,5,1,8,2,3] => [5,6,2,4,7,8,1,3] => [4,8,2,7,6,5,1,3] => 0001111
[2,1,4,7,8,3,6,5] => [2,1,8,4,6,3,7,5] => [2,1,4,6,3,7,8,5] => 1000101
[1,3,7,8,4,6,2,5] => [1,6,3,8,2,4,7,5] => [1,3,7,8,2,6,4,5] => 0000101
[3,1,7,8,4,6,2,5] => [3,6,1,8,2,4,7,5] => [7,8,1,3,2,6,4,5] => 0100101
[4,3,8,1,6,7,2,5] => [8,7,4,3,2,1,6,5] => [4,3,7,2,6,8,1,5] => 0010011
[5,8,4,3,7,1,2,6] => [7,1,4,8,5,2,3,6] => [5,8,4,1,2,7,3,6] => 0010011
[2,4,8,3,6,7,1,5] => [7,2,8,4,1,3,6,5] => [2,4,8,1,6,7,3,5] => 0000011
[1,6,5,8,7,3,2,4] => [1,3,7,2,6,5,8,4] => [1,6,5,8,7,3,2,4] => 0100111
[5,6,4,8,7,2,1,3] => [2,7,1,6,5,4,8,3] => [5,6,4,8,7,2,1,3] => 1000111
[7,2,8,6,5,3,1,4] => [3,5,6,2,8,7,1,4] => [7,2,8,6,5,3,1,4] => 0101111
[4,8,3,7,6,1,2,5] => [6,1,7,4,3,8,2,5] => [4,8,3,7,6,1,2,5] => 0000111
[2,8,4,7,1,3,6,5] => [7,2,1,8,6,3,4,5] => [2,6,1,3,8,4,7,5] => 0000111
[5,6,7,8,9,2,3,1,4] => [3,9,2,1,5,6,7,8,4] => [5,6,7,8,9,2,3,1,4] => 01000001
[5,6,7,8,9,10,2,3,1,4] => [3,10,2,1,5,6,7,8,9,4] => [5,6,7,8,9,10,2,3,1,4] => 010000001
[3,6,8,1,5,4,7,2] => [8,7,3,5,1,6,4,2] => [3,5,1,6,7,4,8,2] => 0001011
[1,7,4,6,2,5,3,8] => [1,6,5,7,2,4,3,8] => [1,7,2,5,4,6,3,8] => 0001110
[6,8,5,3,2,4,1,7] => [4,3,5,2,8,6,1,7] => [6,8,5,3,2,4,1,7] => 0111001
[1,6,8,5,3,2,7,4] => [1,3,5,8,7,6,4,2] => [1,6,7,4,8,5,3,2] => 0101011
[4,6,1,8,7,5,3,2] => [6,3,5,4,7,1,8,2] => [4,8,7,5,3,1,6,2] => 0101111
[1,4,7,8,3,2,6,5] => [1,3,8,4,6,2,7,5] => [1,4,6,3,2,7,8,5] => 0100101
[3,8,5,1,2,7,6,4] => [5,1,3,8,6,7,4,2] => [3,7,6,4,8,5,1,2] => 0001111
[1,3,7,6,8,5,2,4] => [1,5,3,2,8,7,6,4] => [1,3,7,6,8,5,2,4] => 0001011
[6,2,4,8,3,5,7,1] => [7,6,8,2,3,4,5,1] => [8,2,6,3,4,5,7,1] => 0000111
[6,5,1,7,3,2,4,8] => [5,3,6,1,7,2,4,8] => [7,3,1,6,5,2,4,8] => 0101110
[2,8,7,6,5,4,3,1,9] => [3,2,4,5,6,7,8,1,9] => [2,8,7,6,5,4,3,1,9] => 01111110
[3,6,2,1,7,8,4,5] => [2,6,3,8,4,1,7,5] => [3,7,8,4,6,2,1,5] => 1000101
[7,5,8,4,2,1,3,6] => [2,4,1,8,7,3,5,6] => [7,4,2,1,3,8,5,6] => 1010011
[5,3,2,7,8,4,1,6] => [4,3,8,5,1,2,7,6] => [5,3,1,7,8,4,2,6] => 0111001
[1,5,2,8,7,3,6,4] => [1,5,7,6,2,3,8,4] => [1,6,2,8,7,3,5,4] => 0001111
[7,3,5,4,1,6,2,8] => [4,5,6,7,1,2,3,8] => [7,1,6,2,5,4,3,8] => 0011110
[1,7,5,6,3,4,8,2] => [1,8,6,3,7,5,4,2] => [1,7,5,6,3,4,8,2] => 0000111
[5,8,1,2,7,6,4,3] => [8,1,4,6,5,7,2,3] => [5,7,6,4,1,2,8,3] => 0010111
[1,6,7,4,5,3,2,8] => [1,3,5,7,4,6,2,8] => [1,6,7,4,5,3,2,8] => 0101010
[1,8,3,7,4,5,2,6] => [1,5,8,7,4,2,3,6] => [1,7,4,8,2,5,3,6] => 0001011
[8,5,7,3,2,6,4,1] => [4,3,6,7,8,1,5,2] => [8,3,1,7,5,6,4,2] => 0110111
[8,1,5,2,4,3,6,7] => [8,5,4,2,1,3,6,7] => [4,2,5,1,8,3,6,7] => 0011001
[8,6,4,3,1,5,2,7] => [3,4,6,5,1,8,2,7] => [5,1,8,6,4,3,2,7] => 0111101
[6,8,2,5,4,1,7,3] => [4,5,8,7,3,6,2,1] => [6,7,3,8,2,5,4,1] => 0011011
[6,8,2,1,3,7,4,5] => [2,8,1,7,4,6,3,5] => [6,7,4,8,2,1,3,5] => 1000011
[8,5,6,3,1,4,7,2] => [3,6,7,2,8,5,4,1] => [8,5,7,2,4,6,3,1] => 0100111
[8,5,6,2,3,7,1,4] => [7,6,2,1,8,5,3,4] => [8,5,6,2,7,1,3,4] => 0000111
[1,8,3,2,6,5,7,4] => [1,3,8,7,6,2,5,4] => [1,6,3,2,7,5,8,4] => 0100111
[4,3,7,1,5,8,2,6] => [7,8,4,3,1,2,5,6] => [4,3,8,1,7,2,5,6] => 0010011
[2,8,1,3,4,6,5,7] => [8,2,1,3,6,4,5,7] => [2,6,1,3,4,8,5,7] => 0000101
[3,8,4,5,7,6,1,2] => [6,1,3,7,2,8,5,4] => [3,8,1,2,5,7,6,4] => 0000111
[6,5,3,4,1,7,2,8] => [4,7,5,3,6,1,2,8] => [6,5,3,7,1,4,2,8] => 0011110
[2,4,7,1,8,6,3,5] => [7,2,6,4,3,8,1,5] => [2,4,8,6,3,7,1,5] => 0000111
[1,8,6,2,7,4,3,5] => [1,6,4,8,2,7,3,5] => [1,7,4,2,8,6,3,5] => 0010111
[7,2,6,4,1,8,5,3] => [4,6,7,5,8,3,2,1] => [8,5,3,7,2,6,4,1] => 0011111
[7,2,4,5,1,8,6,3] => [5,7,6,2,4,8,1,3] => [8,6,2,4,7,1,5,3] => 0001111
[2,4,1,8,5,3,6,7] => [4,2,5,1,8,3,6,7] => [2,8,5,1,4,3,6,7] => 0011001
[7,3,8,2,4,5,1,6] => [5,8,7,2,4,1,3,6] => [7,2,4,8,1,5,3,6] => 0001011
[6,5,1,7,3,8,4,2] => [5,4,6,8,7,3,1,2] => [7,3,8,4,1,6,5,2] => 0011111
[6,2,7,5,4,3,8,1] => [8,6,4,5,7,2,3,1] => [7,5,4,2,6,3,8,1] => 0011111
[8,5,1,3,7,6,4,2] => [5,4,2,8,6,7,3,1] => [7,6,4,2,3,8,5,1] => 0011111
[7,8,4,6,5,3,2,1] => [2,3,5,6,8,1,7,4] => [7,8,3,2,1,6,5,4] => 1101101
[8,3,6,5,4,2,1,7] => [2,4,5,6,8,3,1,7] => [8,3,6,5,4,2,1,7] => 1011101
[6,3,4,2,7,1,8,5] => [7,4,6,3,8,2,1,5] => [8,3,4,2,6,1,7,5] => 0010111
[6,1,3,5,7,2,8,4] => [6,7,1,8,3,5,2,4] => [8,1,3,5,7,2,6,4] => 0000111
[5,1,3,6,7,2,8,4] => [5,7,1,8,3,6,2,4] => [6,8,1,3,7,2,5,4] => 0001011
[5,1,3,6,7,4,8,2] => [5,8,1,7,3,6,4,2] => [6,7,1,3,8,4,5,2] => 0001011
[2,8,1,5,6,4,3,7] => [8,2,4,6,1,5,3,7] => [2,6,4,1,5,8,3,7] => 0010101
[2,6,8,3,4,7,5,1] => [5,2,7,1,8,6,4,3] => [2,6,8,1,4,7,5,3] => 0001011
[6,1,5,7,4,3,8,2] => [6,8,4,7,1,5,3,2] => [7,4,1,5,8,3,6,2] => 0010111
[6,8,3,4,7,5,1,2] => [5,1,7,2,8,6,4,3] => [6,8,1,2,4,7,5,3] => 0001011
[1,6,7,5,8,4,2,3] => [1,4,2,8,7,6,5,3] => [1,6,7,5,8,4,2,3] => 0010011
[5,4,8,3,1,6,7,2] => [3,8,7,5,4,2,6,1] => [5,4,7,2,6,8,3,1] => 0101011
[7,4,2,8,6,5,3,1] => [3,5,4,6,8,7,1,2] => [7,4,1,8,6,5,3,2] => 0111111
[5,8,7,3,2,1,6,4] => [2,3,7,6,5,1,8,4] => [5,6,3,2,1,8,7,4] => 1100111
[5,8,7,2,6,4,3,1] => [3,4,6,7,5,2,8,1] => [5,8,7,2,6,4,3,1] => 0110111
[4,2,5,8,6,1,3,7] => [6,4,1,2,5,8,3,7] => [4,1,5,8,6,2,3,7] => 0010101
[1,6,4,8,7,3,2,5] => [1,3,7,6,2,4,8,5] => [1,6,3,2,8,7,4,5] => 0100111
[1,6,5,7,8,3,2,4] => [1,3,8,2,6,5,7,4] => [1,6,5,7,8,3,2,4] => 0100101
[5,4,8,6,7,3,1,2] => [3,1,7,5,4,8,6,2] => [5,4,8,6,7,3,1,2] => 0101011
[7,3,6,4,2,1,8,5] => [2,4,6,7,8,1,3,5] => [8,2,1,7,4,3,6,5] => 1010111
[4,8,5,2,7,3,1,6] => [3,7,5,4,8,2,1,6] => [4,8,5,2,7,3,1,6] => 0101011
[4,8,5,2,6,7,3,1] => [3,7,5,4,8,1,6,2] => [4,8,5,1,6,7,3,2] => 0101011
[9,1,2,3,4,5,7,6,8] => [9,1,2,3,4,7,5,6,8] => [7,1,2,3,4,5,9,6,8] => 00000101
[2,1,3,4,5,9,6,7,8] => [2,1,3,4,5,9,6,7,8] => [2,1,3,4,5,9,6,7,8] => 10000001
[1,5,7,2,4,3,8,6] => [1,7,4,2,5,8,3,6] => [1,4,2,5,8,3,7,6] => 0010011
[7,1,6,3,2,8,4,5] => [7,3,6,8,4,1,2,5] => [8,4,6,3,1,7,2,5] => 0100111
[8,1,7,2,3,6,5,4] => [8,7,2,5,6,3,1,4] => [6,5,2,3,7,1,8,4] => 0001111
[7,1,2,6,4,3,8,5] => [7,1,4,6,8,2,3,5] => [8,4,1,2,6,3,7,5] => 0010111
[1,4,7,8,3,2,5,6] => [1,3,8,4,2,5,7,6] => [1,4,7,8,3,2,5,6] => 0100001
[8,7,1,3,2,4,6,5] => [7,3,1,2,6,4,8,5] => [3,1,6,2,4,8,7,5] => 0100111
[8,2,1,7,6,3,4,5] => [2,8,6,3,4,7,1,5] => [7,6,3,4,8,2,1,5] => 1000111
[8,7,3,6,4,1,2,5] => [4,1,6,7,3,2,8,5] => [8,7,3,6,4,1,2,5] => 0010111
[6,3,5,2,8,1,4,7] => [8,5,6,1,3,2,4,7] => [6,1,5,3,8,2,4,7] => 0001101
[6,4,5,3,1,7,2,8] => [3,5,7,6,4,2,1,8] => [6,4,7,2,5,3,1,8] => 0101110
[8,7,2,4,3,1,5,6] => [3,4,7,1,2,5,8,6] => [8,7,1,4,3,2,5,6] => 0110011
[7,6,2,3,1,4,8,5] => [3,6,2,1,7,8,5,4] => [8,5,7,6,2,3,1,4] => 0100111
[4,7,6,2,3,1,5,8] => [3,6,2,4,1,7,5,8] => [4,7,6,2,3,1,5,8] => 0100110
[5,7,4,2,6,8,3,1] => [3,8,4,7,5,1,6,2] => [5,7,4,1,6,8,3,2] => 0110011
[2,7,6,4,3,8,1,5] => [8,2,4,6,1,7,3,5] => [2,7,6,4,1,8,3,5] => 0010111
[7,6,3,1,8,5,2,4] => [3,6,5,2,7,8,1,4] => [8,5,2,7,6,3,1,4] => 0101111
[3,5,2,8,7,4,1,6] => [4,7,3,5,1,2,8,6] => [3,5,1,8,7,4,2,6] => 0011011
[2,7,3,5,1,4,8,6] => [5,2,7,1,3,8,4,6] => [2,8,1,5,3,4,7,6] => 0001011
[5,1,6,4,7,8,3,2] => [5,3,8,6,1,4,7,2] => [6,3,1,7,8,4,5,2] => 0101101
[6,7,2,3,8,4,1,5] => [4,8,1,7,2,6,3,5] => [6,7,1,8,4,2,3,5] => 0010011
[6,3,4,8,2,1,5,7] => [2,8,6,3,1,4,5,7] => [6,3,8,2,1,4,5,7] => 1000101
[2,7,3,4,8,5,1,6] => [5,2,8,1,7,3,4,6] => [2,7,1,8,5,3,4,6] => 0001011
[1,4,5,6,2,8,7,3] => [1,6,7,4,5,2,8,3] => [1,4,5,8,7,2,6,3] => 0000111
[7,3,4,8,1,5,2,6] => [8,5,7,3,1,2,4,6] => [7,3,5,1,8,2,4,6] => 0001011
[1,5,2,6,8,7,4,3] => [1,5,4,7,2,6,8,3] => [1,6,8,7,4,2,5,3] => 0011011
[7,1,3,8,5,2,6,4] => [7,5,1,8,6,4,3,2] => [6,4,8,5,1,3,7,2] => 0001111
[4,7,1,5,2,6,8,3] => [7,5,8,4,1,2,6,3] => [4,8,1,5,2,6,7,3] => 0001011
[3,1,6,7,5,2,8,4] => [3,5,1,7,8,6,4,2] => [6,8,4,7,5,1,3,2] => 0101011
[3,1,6,4,2,8,7,5] => [3,4,1,6,7,2,8,5] => [8,7,4,1,3,2,6,5] => 0110111
[6,5,1,8,2,3,7,4] => [5,6,1,8,7,2,4,3] => [7,1,8,4,6,5,2,3] => 0001111
[5,3,1,8,7,6,2,4] => [3,5,6,1,2,7,8,4] => [8,7,6,1,5,3,2,4] => 0101111
[4,1,7,6,5,2,8,3] => [4,5,6,1,7,8,2,3] => [8,1,7,6,5,2,4,3] => 0011111
[5,4,2,1,7,3,8,6] => [2,4,5,7,3,8,1,6] => [8,3,5,4,2,1,7,6] => 1011011
[5,4,1,6,2,8,7,3] => [4,5,6,7,2,3,8,1] => [8,7,2,6,3,5,4,1] => 0011111
[2,7,3,5,4,1,6,8] => [4,2,5,7,1,3,6,8] => [2,7,1,5,4,3,6,8] => 0011010
[2,3,6,1,5,7,4,8] => [6,2,3,7,1,5,4,8] => [2,3,7,1,5,6,4,8] => 0000110
[5,2,3,1,6,7,4,8] => [3,5,2,7,1,6,4,8] => [6,7,2,3,1,5,4,8] => 0101010
[1,5,4,8,3,2,6,7] => [1,3,8,5,4,2,6,7] => [1,5,4,8,3,2,6,7] => 0101001
[1,5,7,6,3,8,2,4] => [1,8,6,2,5,7,3,4] => [1,5,7,6,2,8,3,4] => 0000111
[2,6,3,1,7,8,4,5] => [3,2,6,8,4,1,7,5] => [2,7,8,4,6,3,1,5] => 0100101
[2,1,7,8,3,5,4,6] => [2,1,8,5,3,4,7,6] => [2,1,5,3,7,8,4,6] => 1001001
[1,5,8,6,7,4,2,3] => [1,4,2,7,5,8,6,3] => [1,5,8,6,7,4,2,3] => 0010011
[3,7,8,2,5,4,1,6] => [4,5,3,8,1,2,7,6] => [3,7,8,1,5,4,2,6] => 0011001
[5,1,4,7,6,8,3,2] => [5,3,8,1,4,7,6,2] => [7,6,8,3,1,4,5,2] => 0101011
[5,6,4,7,1,8,3,2] => [7,3,8,6,5,4,1,2] => [5,6,4,8,3,1,7,2] => 0100111
[5,3,7,4,6,1,8,2] => [6,8,5,7,3,4,1,2] => [7,3,5,4,8,1,6,2] => 0001111
[4,1,5,7,8,6,3,2] => [4,3,6,1,5,8,7,2] => [5,7,8,6,3,1,4,2] => 0110101
[3,6,7,1,5,4,8,2] => [7,8,3,5,1,6,4,2] => [3,5,1,6,8,4,7,2] => 0001011
[1,7,4,5,3,8,2,6] => [1,8,5,7,4,2,3,6] => [1,7,4,5,2,8,3,6] => 0001011
[5,6,7,4,1,8,3,2] => [4,3,7,8,5,6,2,1] => [5,6,8,3,2,7,4,1] => 0110011
[6,5,7,3,1,8,2,4] => [3,7,8,1,6,5,2,4] => [6,5,8,1,7,3,2,4] => 0100111
[6,4,7,1,5,2,8,3] => [7,5,8,6,1,4,2,3] => [6,1,8,4,5,2,7,3] => 0001111
[4,6,1,8,2,5,3,7] => [6,8,5,4,2,1,3,7] => [4,5,2,8,1,6,3,7] => 0001101
[3,2,6,1,8,5,4,7] => [6,3,2,5,8,1,4,7] => [3,2,8,5,1,6,4,7] => 0101101
[4,8,1,3,5,2,7,6] => [8,5,1,4,3,7,2,6] => [4,5,1,3,7,2,8,6] => 0001011
[1,7,4,3,5,8,2,6] => [1,8,4,7,3,2,5,6] => [1,7,4,3,8,2,5,6] => 0010011
[3,7,2,5,4,6,8,1] => [8,7,3,5,2,4,6,1] => [3,5,2,7,4,6,8,1] => 0001011
[1,6,5,2,8,7,4,3] => [1,5,4,6,7,3,8,2] => [1,8,7,4,3,6,5,2] => 0011111
[1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => 01010000
[4,1,7,2,5,8,3,6] => [4,7,8,1,2,3,5,6] => [8,1,7,2,4,3,5,6] => 0010011
[3,6,1,7,4,2,8,5] => [6,4,3,7,8,1,2,5] => [3,8,4,1,7,2,6,5] => 0010111
[3,1,6,7,4,8,2,5] => [3,8,1,7,2,6,4,5] => [6,7,1,3,2,8,4,5] => 0100011
[5,6,3,2,8,7,4,1] => [4,3,7,6,5,1,8,2] => [5,6,3,1,8,7,4,2] => 0110111
[3,2,5,8,6,1,7,4] => [6,3,2,8,5,7,4,1] => [3,2,5,7,4,8,6,1] => 0100111
[4,5,1,7,2,8,6,3] => [5,7,6,4,1,8,2,3] => [4,8,6,1,7,2,5,3] => 0001111
[2,6,3,1,8,7,5,4] => [3,2,6,5,7,1,8,4] => [2,8,7,5,3,1,6,4] => 0101111
[4,7,1,8,5,3,6,2] => [7,6,5,4,8,3,1,2] => [4,8,5,3,6,1,7,2] => 0001111
[7,3,6,4,1,8,2,5] => [4,6,8,7,3,1,2,5] => [7,3,8,1,6,4,2,5] => 0010111
[7,1,4,3,6,8,2,5] => [7,8,4,1,2,3,6,5] => [4,1,8,2,6,7,3,5] => 0010011
[5,4,1,8,6,3,7,2] => [4,5,7,6,2,8,1,3] => [8,6,2,7,1,5,4,3] => 0011111
[6,3,5,4,1,8,7,2] => [4,5,7,6,1,2,8,3] => [6,1,8,7,2,5,4,3] => 0011111
[4,8,6,3,5,1,7,2] => [5,7,6,4,3,8,1,2] => [4,8,6,3,7,1,5,2] => 0001111
[6,1,2,4,3,8,5,7] => [6,1,4,2,8,3,5,7] => [4,1,2,8,3,6,5,7] => 0010101
[1,6,3,7,5,4,8,2] => [1,8,6,5,7,3,4,2] => [1,7,5,3,6,4,8,2] => 0001111
[7,1,3,8,5,4,2,6] => [7,4,1,5,8,2,3,6] => [8,5,4,1,7,2,3,6] => 0011011
[4,8,7,3,5,1,6,2] => [5,6,7,4,3,1,8,2] => [4,8,7,3,6,1,5,2] => 0001111
[4,5,1,7,8,2,6,3] => [5,8,6,4,1,2,7,3] => [4,6,1,7,8,2,5,3] => 0001101
[3,5,1,7,4,2,8,6] => [5,4,3,7,1,8,2,6] => [3,8,4,1,5,2,7,6] => 0011011
[3,4,1,6,2,8,7,5] => [4,6,3,1,7,2,8,5] => [3,8,7,1,4,2,6,5] => 0010111
[3,5,2,6,1,8,4,7] => [6,5,3,8,2,1,4,7] => [3,8,2,5,1,6,4,7] => 0001101
[8,5,2,1,6,4,7,3] => [2,5,8,7,6,3,1,4] => [6,3,7,2,1,8,5,4] => 1001111
[1,7,2,8,5,4,6,3] => [1,7,6,5,8,4,2,3] => [1,8,5,4,6,2,7,3] => 0001111
[4,1,7,3,2,8,5,6] => [4,3,7,1,8,5,2,6] => [8,5,7,3,1,4,2,6] => 0110011
[4,3,7,8,6,1,5,2] => [6,5,4,3,1,8,7,2] => [4,3,5,1,7,8,6,2] => 0011101
[1,2,6,3,7,8,5,4] => [1,2,6,5,8,3,7,4] => [1,2,7,8,5,3,6,4] => 0001101
[6,1,3,7,8,5,4,2] => [6,4,1,5,8,3,7,2] => [7,8,5,4,1,3,6,2] => 0011101
[1,6,7,3,5,8,2,4] => [1,8,7,2,3,6,5,4] => [1,6,7,2,5,8,3,4] => 0000011
[6,4,1,7,5,8,2,3] => [4,6,1,8,7,2,5,3] => [7,1,8,5,6,4,2,3] => 0010111
[6,5,1,4,3,7,2,8] => [5,6,4,2,7,3,1,8] => [4,2,7,3,6,5,1,8] => 0011110
[2,6,4,7,5,3,1,8] => [3,2,5,7,6,1,4,8] => [2,6,3,1,7,5,4,8] => 0101110
[5,6,3,7,2,8,4,1] => [4,8,7,6,5,1,3,2] => [5,6,1,7,3,8,4,2] => 0010111
[4,5,1,8,6,2,7,3] => [5,6,8,4,1,7,3,2] => [4,7,1,8,6,3,5,2] => 0001111
[4,2,6,7,8,5,1,3] => [5,4,1,2,8,6,7,3] => [4,1,6,7,8,5,2,3] => 0011001
[4,5,1,6,8,7,3,2] => [5,3,7,4,1,6,8,2] => [4,6,8,7,3,1,5,2] => 0101011
[3,2,8,1,5,6,4,7] => [8,3,2,6,1,5,4,7] => [3,2,6,1,5,8,4,7] => 0100101
[3,4,7,6,8,2,1,5] => [2,8,3,4,1,7,6,5] => [3,4,7,6,8,2,1,5] => 1000011
[2,3,6,4,7,8,1,5] => [8,2,3,6,1,4,7,5] => [2,3,6,1,7,8,4,5] => 0000101
[3,4,7,1,5,8,2,6] => [7,8,3,4,1,2,5,6] => [3,4,8,1,7,2,5,6] => 0000011
[4,2,7,1,5,8,3,6] => [7,4,8,2,1,3,5,6] => [8,2,4,1,7,3,5,6] => 0010011
[4,1,2,3,5,6,8,7,9] => [4,1,2,3,5,6,8,7,9] => [4,1,2,3,5,6,8,7,9] => 00100010
[5,1,2,3,4,7,6,8,9] => [5,1,2,3,4,7,6,8,9] => [5,1,2,3,4,7,6,8,9] => 00010100
[2,4,6,3,5,1,7,8] => [5,2,6,4,3,1,7,8] => [2,4,6,3,5,1,7,8] => 0001100
[4,1,6,2,5,8,3,7] => [4,6,8,1,2,5,3,7] => [8,1,5,6,2,4,3,7] => 0010101
[1,8,2,5,7,3,4,6] => [1,8,7,3,2,4,5,6] => [1,7,3,8,2,4,5,6] => 0000011
[1,4,6,3,8,5,2,7] => [1,5,8,4,6,2,3,7] => [1,4,6,2,8,5,3,7] => 0001101
[3,4,6,2,5,1,7,8] => [5,6,3,4,2,1,7,8] => [3,4,6,2,5,1,7,8] => 0001100
[1,4,6,5,8,2,3,7] => [1,8,2,4,6,5,3,7] => [1,4,6,5,8,2,3,7] => 0000101
[1,4,8,3,7,6,2,5] => [1,6,7,4,3,8,2,5] => [1,4,8,3,7,6,2,5] => 0000111
[1,4,5,3,7,2,6,8] => [1,7,5,4,3,2,6,8] => [1,4,5,3,7,2,6,8] => 0001010
[2,5,7,6,8,3,4,1] => [4,2,8,3,5,7,6,1] => [2,5,7,6,8,3,4,1] => 0010011
[8,3,6,5,4,7,1,2] => [7,1,8,5,6,3,4,2] => [6,5,3,8,4,7,1,2] => 0001111
[1,6,8,3,5,4,7,2] => [1,7,8,5,3,6,4,2] => [1,5,3,6,8,4,7,2] => 0001011
[5,6,8,2,7,1,3,4] => [7,8,1,3,5,6,2,4] => [5,6,8,1,3,7,2,4] => 0000011
[6,7,1,5,4,8,3,2] => [7,3,8,5,1,6,4,2] => [5,3,1,6,8,4,7,2] => 0101011
[8,3,1,6,5,4,7,2] => [3,8,7,5,6,2,4,1] => [6,5,2,7,4,8,3,1] => 0101111
[3,1,6,7,2,8,5,4] => [3,7,1,5,8,6,2,4] => [6,8,5,1,3,2,7,4] => 0101011
[8,3,6,4,7,1,5,2] => [7,5,8,6,1,3,4,2] => [6,1,8,3,5,4,7,2] => 0001111
[6,5,1,3,8,4,7,2] => [5,6,2,7,8,3,1,4] => [8,2,3,7,1,6,5,4] => 0001111
[5,1,3,6,8,4,7,2] => [5,7,1,8,3,6,4,2] => [6,8,1,3,7,4,5,2] => 0001011
[3,8,4,6,5,1,7,2] => [5,6,3,7,8,1,2,4] => [3,8,1,7,2,6,5,4] => 0001111
[7,3,1,2,6,8,5,4] => [3,1,7,5,8,2,6,4] => [8,5,3,1,2,6,7,4] => 0101011
[6,8,4,5,1,7,3,2] => [5,3,7,8,4,6,1,2] => [6,8,4,7,3,1,5,2] => 0101011
[8,4,5,1,6,7,3,2] => [5,3,7,8,4,1,6,2] => [8,4,6,7,3,1,5,2] => 0101011
[3,4,7,5,6,8,2,1] => [2,8,3,4,7,5,6,1] => [3,4,7,5,6,8,2,1] => 1000011
[3,4,7,8,5,2,6,1] => [6,5,3,4,8,2,7,1] => [3,4,7,8,5,2,6,1] => 0001101
[4,5,8,6,1,7,2,3] => [6,8,1,4,5,7,2,3] => [4,5,7,1,8,6,2,3] => 0000111
[4,8,5,6,1,7,2,3] => [6,7,2,4,8,5,1,3] => [4,8,5,7,2,6,1,3] => 0000111
[2,5,8,6,3,7,4,1] => [4,2,7,6,5,8,1,3] => [2,5,8,6,1,7,4,3] => 0010111
[2,8,1,5,7,4,3,6] => [8,2,4,7,1,3,5,6] => [2,7,4,1,8,3,5,6] => 0010011
[3,8,4,5,1,7,6,2] => [5,6,3,7,2,8,1,4] => [3,8,2,7,6,1,5,4] => 0001111
[7,4,1,2,5,3,6,8] => [4,1,7,5,3,2,6,8] => [5,3,7,4,1,2,6,8] => 0011010
[4,1,3,5,2,8,6,7] => [4,5,1,3,2,8,6,7] => [5,1,3,4,2,8,6,7] => 0011001
[2,7,3,1,4,6,5,8] => [3,2,7,1,6,4,5,8] => [2,6,3,1,4,7,5,8] => 0100110
[4,3,1,8,7,2,6,5] => [3,4,7,2,6,1,8,5] => [6,2,4,3,1,8,7,5] => 0110111
[4,5,1,3,6,2,7,8] => [5,6,1,4,3,2,7,8] => [4,6,1,3,5,2,7,8] => 0001100
[5,6,4,1,3,2,7,8] => [4,3,1,6,5,2,7,8] => [3,1,5,6,4,2,7,8] => 0110100
[7,4,2,3,6,5,1,8] => [5,4,1,6,7,3,2,8] => [7,4,1,3,6,5,2,8] => 0011110
[6,3,1,4,8,5,7,2] => [3,6,7,2,8,4,5,1] => [8,2,4,7,5,6,3,1] => 0100111
[6,3,5,4,8,7,1,2] => [7,1,6,5,3,4,8,2] => [5,3,6,4,8,7,1,2] => 0001111
[1,8,7,4,5,6,2,3] => [1,6,2,7,4,5,8,3] => [1,8,7,4,5,6,2,3] => 0000111
[1,8,7,3,6,4,2,5] => [1,4,6,7,3,2,8,5] => [1,8,7,3,6,4,2,5] => 0010111
[1,2,6,5,8,3,4,7] => [1,2,8,3,6,5,4,7] => [1,2,6,5,8,3,4,7] => 0000101
[6,8,3,2,7,5,1,4] => [5,3,7,2,8,6,1,4] => [6,8,3,2,7,5,1,4] => 0101011
[8,1,6,7,3,5,2,4] => [8,5,7,2,3,1,6,4] => [7,2,5,3,6,8,1,4] => 0001011
[7,2,6,4,8,1,5,3] => [8,7,5,6,1,2,4,3] => [6,1,5,2,7,4,8,3] => 0001111
[7,2,5,8,6,4,3,1] => [3,4,6,8,1,7,5,2] => [7,1,5,8,6,4,3,2] => 0110111
[7,6,3,5,1,4,2,8] => [5,4,6,1,3,7,2,8] => [7,6,1,4,3,5,2,8] => 0011110
[5,1,6,8,3,2,4,7] => [5,3,8,2,1,6,4,7] => [6,8,3,2,5,1,4,7] => 0101001
[2,6,8,7,3,5,4,1] => [4,2,5,7,1,6,8,3] => [2,6,8,7,1,5,4,3] => 0011011
[3,5,6,7,2,4,1,8] => [4,7,3,2,5,6,1,8] => [3,5,6,7,2,4,1,8] => 0010010
[2,1,5,6,4,8,3,7] => [2,1,8,6,5,4,3,7] => [2,1,5,6,4,8,3,7] => 1000101
[6,8,4,1,7,3,2,5] => [4,3,8,7,1,6,2,5] => [6,7,3,1,8,4,2,5] => 0110011
[5,6,4,3,2,1,7,8,9] => [2,3,4,6,5,1,7,8,9] => [5,6,4,3,2,1,7,8,9] => 11101000
[4,5,3,2,1,6,7,8,9] => [2,3,5,4,1,6,7,8,9] => [4,5,3,2,1,6,7,8,9] => 11010000
[6,7,9,8,5,4,3,2,1] => [2,3,4,5,8,6,7,9,1] => [6,7,9,8,5,4,3,2,1] => 11110011
[7,6,8,9,5,4,3,2,1] => [2,3,4,5,9,7,6,8,1] => [7,6,8,9,5,4,3,2,1] => 11110101
[6,3,1,8,2,7,5,4] => [3,6,8,5,7,2,1,4] => [7,5,2,8,3,1,6,4] => 0101111
[3,8,5,2,1,7,6,4] => [2,5,3,8,6,7,4,1] => [3,7,6,4,8,5,2,1] => 1001111
[4,1,7,8,3,2,5,6] => [4,3,8,1,2,5,7,6] => [7,8,3,1,4,2,5,6] => 0110001
[6,5,7,2,3,8,4,1] => [4,8,1,7,6,5,3,2] => [6,5,7,1,3,8,4,2] => 0010111
[7,6,2,8,4,5,3,1] => [3,5,6,7,1,8,4,2] => [8,1,7,6,4,5,3,2] => 0101111
[2,8,6,1,7,5,4,3] => [6,2,4,5,8,7,3,1] => [2,7,5,4,3,8,6,1] => 0011111
[8,2,4,3,7,1,5,6] => [7,8,4,2,1,5,3,6] => [4,2,8,1,5,7,3,6] => 0010011
[1,4,8,5,7,3,2,6] => [1,3,7,4,8,2,5,6] => [1,4,8,3,2,7,5,6] => 0100011
[8,2,3,7,1,6,4,5] => [7,8,2,6,4,1,3,5] => [6,4,8,2,7,1,3,5] => 0000111
[6,5,1,4,8,7,3,2] => [5,3,6,2,7,4,8,1] => [8,7,3,2,4,6,5,1] => 0101111
[5,1,2,4,7,3,8,6] => [5,1,7,2,4,8,3,6] => [8,1,2,4,5,3,7,6] => 0001011
[6,2,5,4,1,7,3,8] => [4,5,6,7,3,2,1,8] => [7,3,6,2,5,4,1,8] => 0011110
[8,4,6,1,5,3,7,2] => [6,7,5,8,1,4,3,2] => [8,1,5,4,7,3,6,2] => 0001111
[8,6,5,4,1,7,3,2] => [4,3,5,6,8,7,2,1] => [7,3,2,8,6,5,4,1] => 0111111
[5,7,6,3,4,1,8,2] => [4,8,6,3,5,7,1,2] => [5,7,6,3,8,1,4,2] => 0010111
[5,3,1,6,4,7,8,2] => [3,5,8,6,2,4,7,1] => [6,2,7,8,4,5,3,1] => 0101101
[1,5,6,2,7,4,8,3] => [1,6,8,7,5,2,4,3] => [1,5,7,2,8,4,6,3] => 0000111
[8,3,5,6,4,1,7,2] => [4,6,7,8,1,5,2,3] => [8,1,5,7,2,6,4,3] => 0010111
[2,1,5,7,3,6,4,8] => [2,1,7,6,5,3,4,8] => [2,1,5,6,3,7,4,8] => 1000110
[7,3,8,2,1,5,4,6] => [2,8,7,5,1,4,3,6] => [5,2,1,7,4,8,3,6] => 1001011
[5,3,8,6,1,7,2,4] => [6,8,5,1,3,7,2,4] => [5,1,7,3,8,6,2,4] => 0001111
[2,5,3,6,8,1,7,4] => [8,2,5,7,3,6,1,4] => [2,6,7,3,5,1,8,4] => 0001011
[3,1,8,6,2,5,7,4] => [3,6,1,8,4,7,5,2] => [7,4,5,8,6,1,3,2] => 0100111
[2,3,8,7,4,5,1,6] => [5,2,3,7,4,1,8,6] => [2,3,8,7,4,5,1,6] => 0001011
[1,8,3,5,7,4,2,6] => [1,4,7,8,2,3,5,6] => [1,8,2,7,4,3,5,6] => 0010011
[9,8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,9,7] => [9,8,6,1,2,3,4,5,7] => 00001011
[7,1,2,6,4,3,5,8] => [7,1,4,6,3,2,5,8] => [6,4,3,7,1,2,5,8] => 0010110
[7,1,2,6,5,3,4,8] => [7,1,5,3,6,2,4,8] => [6,5,3,7,1,2,4,8] => 0001110
[3,4,6,2,7,1,8,5] => [7,6,3,4,8,2,1,5] => [3,4,8,2,6,1,7,5] => 0000111
[5,1,2,7,4,3,8,6] => [5,1,4,7,2,8,3,6] => [8,4,1,2,5,3,7,6] => 0011011
[2,1,4,7,3,8,6,5] => [2,1,7,4,6,8,3,5] => [2,1,4,8,6,3,7,5] => 1000111
[7,1,4,6,3,5,8,2] => [7,8,6,1,3,4,5,2] => [6,1,8,3,4,5,7,2] => 0000111
[2,8,4,7,3,1,5,6] => [3,2,7,8,1,5,4,6] => [2,8,3,1,5,7,4,6] => 0100011
[7,1,2,4,8,6,5,3] => [7,1,5,2,6,8,4,3] => [8,6,5,1,2,4,7,3] => 0001111
[5,2,4,1,8,7,6,3] => [4,5,6,2,1,7,8,3] => [8,7,6,2,5,1,4,3] => 0011111
[5,3,4,1,8,7,6,2] => [4,6,5,3,1,7,8,2] => [5,3,8,7,6,1,4,2] => 0011111
[2,5,3,1,8,7,6,4] => [3,2,5,6,1,7,8,4] => [2,8,7,6,3,1,5,4] => 0101111
[2,7,5,6,4,8,1,3] => [8,2,1,6,7,5,4,3] => [2,7,5,6,4,8,1,3] => 0000111
[4,8,2,5,6,1,7,3] => [6,8,7,4,2,5,1,3] => [4,7,2,5,8,1,6,3] => 0000111
[3,8,4,7,1,5,6,2] => [7,6,3,8,1,5,4,2] => [3,8,1,5,6,4,7,2] => 0000111
[2,8,3,6,5,7,1,4] => [7,2,8,1,6,3,5,4] => [2,6,1,8,5,7,3,4] => 0000111
[4,3,7,1,8,6,2,5] => [7,6,4,3,2,8,1,5] => [4,3,8,6,2,7,1,5] => 0010111
[9,3,8,7,6,5,4,2,1] => [2,4,5,6,7,8,9,3,1] => [9,3,8,7,6,5,4,2,1] => 10111111
[9,2,8,7,6,5,4,3,1] => [3,4,5,6,7,8,9,1,2] => [9,1,8,7,6,5,4,3,2] => 01111111
[10,3,9,8,7,6,5,4,2,1] => [2,4,5,6,7,8,9,10,1,3] => [10,2,1,9,8,7,6,5,4,3] => 101111111
[10,2,9,8,7,6,5,4,3,1] => [3,4,5,6,7,8,9,10,2,1] => [10,2,9,8,7,6,5,4,3,1] => 011111111
[7,4,3,1,6,5,2,8] => [3,4,7,5,6,1,2,8] => [6,5,1,7,4,3,2,8] => 0111110
[3,5,1,2,6,8,7,4] => [5,1,3,7,2,6,8,4] => [3,6,8,7,1,2,5,4] => 0001011
[3,1,2,4,8,7,5,6] => [3,1,2,4,7,5,8,6] => [3,1,2,4,8,7,5,6] => 0100011
[1,6,8,4,7,3,5,2] => [1,5,7,8,3,6,4,2] => [1,6,8,3,7,4,5,2] => 0001011
[6,8,5,1,4,7,3,2] => [5,3,8,2,7,6,4,1] => [6,7,3,2,4,8,5,1] => 0101011
[5,4,1,2,3,7,8,6] => [4,1,2,5,3,8,7,6] => [5,4,1,2,3,7,8,6] => 0011001
[7,8,5,6,2,4,3,1] => [3,4,6,1,8,5,7,2] => [7,8,5,6,1,4,3,2] => 0110101
[5,4,7,8,6,2,1,3] => [2,6,1,5,4,8,7,3] => [5,4,7,8,6,2,1,3] => 1001101
[2,7,4,8,3,1,5,6] => [3,2,8,7,1,5,4,6] => [2,7,3,1,5,8,4,6] => 0100011
[8,2,1,3,7,4,6,5] => [2,8,1,7,6,4,3,5] => [6,4,7,2,1,3,8,5] => 1000111
[7,8,2,3,6,4,5,1] => [5,8,2,6,4,3,7,1] => [6,4,7,8,2,3,5,1] => 0001101
[8,1,2,7,5,3,4,6] => [8,1,5,3,7,4,2,6] => [7,5,3,4,8,1,2,6] => 0001011
[4,2,8,1,3,7,5,6] => [8,4,1,2,7,5,3,6] => [4,1,7,5,8,2,3,6] => 0010011
[8,2,4,1,3,7,5,6] => [4,8,1,2,7,5,3,6] => [7,5,8,1,4,2,3,6] => 0010011
[3,5,7,4,2,8,1,6] => [8,4,3,7,5,1,2,6] => [3,5,7,4,1,8,2,6] => 0010011
[2,4,7,6,3,8,1,5] => [8,2,6,4,1,7,3,5] => [2,4,7,6,1,8,3,5] => 0000111
[4,6,8,5,1,2,3,7] => [5,1,2,4,8,6,3,7] => [4,6,8,5,1,2,3,7] => 0001001
[3,4,7,6,1,8,2,5] => [6,7,3,4,1,8,2,5] => [3,4,8,1,7,6,2,5] => 0000111
[8,5,3,4,1,7,6,2] => [4,6,5,2,7,8,1,3] => [8,5,2,7,6,1,4,3] => 0011111
[8,2,7,5,4,1,6,3] => [4,5,7,8,6,3,1,2] => [6,3,8,1,7,5,4,2] => 0011111
[8,6,1,2,7,3,5,4] => [6,1,8,5,2,7,3,4] => [5,1,2,7,3,8,6,4] => 0001111
[6,2,1,5,7,8,3,4] => [2,6,8,3,1,5,7,4] => [7,8,3,5,6,2,1,4] => 1000101
[2,6,1,8,7,4,5,3] => [6,2,5,7,4,1,8,3] => [2,8,7,4,5,1,6,3] => 0001111
[4,8,5,1,2,6,3,7] => [5,1,8,4,6,3,2,7] => [4,6,3,8,5,1,2,7] => 0001101
[8,6,7,2,4,3,5,1] => [5,7,4,2,3,8,6,1] => [4,2,8,6,7,3,5,1] => 0011011
[6,8,7,4,5,3,2,1] => [2,3,5,7,4,6,8,1] => [6,8,7,4,5,3,2,1] => 1101011
[4,2,7,8,5,3,6,1] => [6,4,5,2,8,3,7,1] => [7,8,5,2,4,3,6,1] => 0011101
[4,5,7,1,8,6,3,2] => [7,3,6,4,5,8,1,2] => [4,5,8,6,3,1,7,2] => 0100111
[7,6,8,3,1,4,2,5] => [3,8,4,2,1,7,6,5] => [4,2,7,6,8,3,1,5] => 0110011
[2,6,4,7,5,1,3,8] => [5,2,1,7,6,3,4,8] => [2,6,1,3,7,5,4,8] => 0001110
[8,3,1,4,6,5,7,2] => [3,8,7,2,6,4,5,1] => [6,2,4,7,5,8,3,1] => 0100111
[6,4,8,1,5,2,3,7] => [8,5,2,6,1,4,3,7] => [6,2,5,4,8,1,3,7] => 0001101
[4,2,1,3,6,5,8,7,9] => [2,4,1,3,6,5,8,7,9] => [4,2,1,3,6,5,8,7,9] => 10101010
[4,2,1,3,6,5,8,7,10,9] => [2,4,1,3,6,5,8,7,10,9] => [4,2,1,3,6,5,8,7,10,9] => 101010101
[3,8,7,5,4,2,6,1] => [6,4,3,5,7,2,8,1] => [3,8,7,5,4,2,6,1] => 0011111
[5,7,8,2,3,6,4,1] => [4,6,1,8,5,3,7,2] => [5,7,8,1,3,6,4,2] => 0010101
[2,8,7,3,1,4,5,6] => [3,2,7,1,4,5,8,6] => [2,8,7,3,1,4,5,6] => 0100011
[7,8,5,1,4,6,2,3] => [5,8,1,2,6,4,7,3] => [6,1,4,7,8,5,2,3] => 0001101
[4,6,7,1,3,2,8,5] => [7,3,1,4,8,6,2,5] => [3,1,4,6,8,2,7,5] => 0100011
[6,4,7,5,3,2,8,1] => [8,3,5,7,6,2,4,1] => [6,3,2,7,5,4,8,1] => 0101111
[7,3,1,4,5,6,8,2] => [3,7,8,2,4,5,6,1] => [8,2,4,5,6,7,3,1] => 0100011
[7,8,1,2,4,5,3,6] => [8,1,5,2,4,3,7,6] => [5,1,2,4,7,8,3,6] => 0001001
[6,3,2,4,7,1,5,8] => [7,3,6,2,1,4,5,8] => [6,3,2,7,1,4,5,8] => 0100110
[5,2,8,7,6,3,4,1] => [4,5,6,3,2,7,8,1] => [8,7,6,3,5,2,4,1] => 0011111
[5,8,4,2,6,3,1,7] => [3,6,4,8,5,1,2,7] => [5,8,4,1,6,3,2,7] => 0110101
[2,5,3,8,6,4,1,7] => [4,2,6,5,1,8,3,7] => [2,5,1,8,6,4,3,7] => 0011101
[7,2,8,3,6,4,1,5] => [4,6,7,8,2,1,3,5] => [8,2,7,1,6,4,3,5] => 0010111
[5,2,3,8,6,4,1,7] => [4,6,1,5,3,8,2,7] => [5,1,3,8,6,4,2,7] => 0011101
[5,7,4,1,8,3,6,2] => [4,7,6,8,5,1,2,3] => [5,8,1,6,2,7,4,3] => 0010111
[5,8,4,1,3,2,6,7] => [4,3,1,8,5,2,6,7] => [3,1,5,8,4,2,6,7] => 0110001
[4,3,6,5,1,7,2,8] => [5,6,4,3,7,2,1,8] => [4,3,7,2,6,5,1,8] => 0011110
[5,8,4,1,3,6,2,7] => [4,8,2,6,5,3,1,7] => [5,6,2,3,8,4,1,7] => 0010101
[6,8,1,5,3,7,4,2] => [8,4,7,5,1,6,2,3] => [5,1,6,7,4,2,8,3] => 0011011
[6,8,1,4,3,5,2,7] => [8,5,4,1,3,6,2,7] => [4,1,5,3,6,8,2,7] => 0011001
[4,2,5,3,6,7,1,8] => [7,4,5,2,3,6,1,8] => [5,2,4,3,6,7,1,8] => 0011010
[8,2,6,5,3,7,1,4] => [7,8,5,1,6,2,3,4] => [6,5,1,8,2,7,3,4] => 0001111
[8,4,6,2,7,1,5,3] => [7,6,5,8,1,4,2,3] => [8,1,5,4,6,2,7,3] => 0001111
[5,7,2,1,4,8,3,6] => [2,7,8,1,5,3,4,6] => [5,8,2,1,7,3,4,6] => 1000011
[2,7,4,8,3,1,6,5] => [3,2,8,7,6,1,4,5] => [2,6,3,1,7,4,8,5] => 0100111
[4,5,2,1,6,3,8,7] => [2,5,6,4,1,3,8,7] => [4,6,2,1,5,3,8,7] => 1001101
[2,5,1,6,4,3,8,7] => [5,2,4,6,1,3,8,7] => [2,6,4,1,5,3,8,7] => 0011101
[4,6,8,1,5,7,2,3] => [8,7,2,4,1,6,5,3] => [4,6,7,2,5,8,1,3] => 0000011
[2,1,3,6,4,8,7,5] => [2,1,3,6,7,4,8,5] => [2,1,3,8,7,4,6,5] => 1000111
[4,8,1,2,7,5,6,3] => [8,1,6,4,7,5,2,3] => [4,7,5,6,1,2,8,3] => 0000111
[5,7,2,4,6,3,8,1] => [8,7,6,2,5,4,3,1] => [5,6,2,4,7,3,8,1] => 0000111
[8,6,7,3,1,5,4,2] => [3,7,4,5,2,8,6,1] => [5,4,2,8,6,7,3,1] => 0111011
[1,6,4,3,8,7,5,2] => [1,5,4,7,6,2,8,3] => [1,6,4,2,8,7,5,3] => 0011111
[8,7,5,2,1,6,3,4] => [2,5,7,1,6,3,8,4] => [6,2,1,8,7,5,3,4] => 1001111
[2,4,7,3,5,8,1,6] => [8,2,7,4,3,1,5,6] => [2,4,7,3,8,1,5,6] => 0000011
[3,4,7,2,5,8,6,1] => [6,8,3,4,1,7,5,2] => [3,4,7,1,5,8,6,2] => 0000111
[4,3,1,6,5,7,2,8] => [3,4,7,2,6,5,1,8] => [6,5,7,2,4,3,1,8] => 0110110
[3,1,5,8,2,4,7,6] => [3,8,1,2,5,7,4,6] => [5,7,1,3,2,4,8,6] => 0100011
[2,5,1,8,6,4,7,3] => [5,2,7,6,1,8,4,3] => [2,8,6,1,7,4,5,3] => 0001111
[2,5,8,7,3,1,4,6] => [3,2,7,1,5,4,8,6] => [2,5,8,7,3,1,4,6] => 0100011
[7,2,5,3,8,1,6,4] => [8,7,5,6,2,1,3,4] => [6,2,5,1,7,3,8,4] => 0001111
[5,2,1,6,4,8,7,3] => [2,5,7,6,1,4,8,3] => [6,2,1,8,7,4,5,3] => 1001111
[7,1,2,6,4,8,5,3] => [7,1,5,8,6,2,3,4] => [6,1,2,8,5,3,7,4] => 0001111
[8,4,5,1,6,7,2,3] => [5,7,2,8,4,1,6,3] => [8,4,6,7,2,5,1,3] => 0001011
[4,2,5,1,7,8,6,3] => [5,4,6,2,1,8,7,3] => [7,8,6,2,4,1,5,3] => 0011101
[8,4,7,3,1,5,2,6] => [3,7,5,8,2,1,4,6] => [8,2,5,3,1,7,4,6] => 0101011
[2,5,1,8,3,6,4,7] => [5,2,8,6,1,3,4,7] => [2,6,1,8,3,5,4,7] => 0001101
[5,3,8,1,6,2,7,4] => [8,6,5,7,3,1,2,4] => [7,3,5,1,6,2,8,4] => 0001111
[4,1,5,8,2,3,7,6] => [4,8,2,1,5,7,3,6] => [5,7,2,4,1,3,8,6] => 0010011
[8,2,5,4,3,6,1,7] => [6,8,4,5,2,3,1,7] => [5,4,2,8,3,6,1,7] => 0011101
[5,6,8,4,2,7,1,3] => [7,4,1,8,5,6,2,3] => [5,6,8,4,1,7,2,3] => 0010011
[4,3,8,6,1,2,5,7] => [6,1,4,3,2,8,5,7] => [4,3,8,6,1,2,5,7] => 0010101
[4,8,6,5,7,1,3,2] => [7,3,1,4,6,8,5,2] => [3,1,4,8,6,5,7,2] => 0100111
[7,2,3,5,6,1,8,4] => [6,7,2,8,3,5,1,4] => [8,2,3,5,7,1,6,4] => 0000111
[7,3,4,1,5,6,8,2] => [4,8,7,3,1,5,6,2] => [7,3,5,6,8,1,4,2] => 0010011
[7,2,4,5,3,1,6,8] => [3,5,7,1,4,2,6,8] => [7,1,4,5,3,2,6,8] => 0101010
[7,4,2,6,3,5,8,1] => [8,4,7,6,2,3,5,1] => [6,2,7,4,3,5,8,1] => 0010111
[7,2,4,3,6,8,1,5] => [8,7,4,2,1,3,6,5] => [4,2,7,1,6,8,3,5] => 0010011
[6,4,5,8,2,7,1,3] => [7,8,1,6,4,5,2,3] => [6,4,5,8,1,7,2,3] => 0000111
[7,6,3,1,4,5,8,2] => [3,6,7,1,4,8,5,2] => [8,1,4,5,7,6,3,2] => 0100111
[7,2,3,5,6,8,1,4] => [8,7,2,1,3,5,6,4] => [7,2,5,6,8,1,3,4] => 0000011
[4,3,7,6,5,1,8,2] => [5,6,4,3,7,8,1,2] => [4,3,8,1,7,6,5,2] => 0011111
[2,4,1,7,3,6,5,8] => [4,2,7,1,6,3,5,8] => [2,6,1,4,3,7,5,8] => 0010110
[7,6,1,5,3,8,2,4] => [6,7,5,1,2,8,3,4] => [5,1,8,2,7,6,3,4] => 0001111
[6,7,8,4,5,1,3,2] => [5,3,1,8,4,6,7,2] => [3,1,6,7,8,4,5,2] => 0101001
[3,8,5,6,7,1,4,2] => [7,4,3,1,8,5,6,2] => [3,4,1,8,5,6,7,2] => 0010011
[7,1,4,2,3,8,5,6] => [7,4,2,1,8,5,3,6] => [4,2,8,5,7,1,3,6] => 0010011
[3,2,8,5,4,1,6,7] => [4,3,2,5,8,1,6,7] => [3,2,8,5,4,1,6,7] => 0111001
[4,1,2,3,5,9,6,7,8] => [4,1,2,3,5,9,6,7,8] => [4,1,2,3,5,9,6,7,8] => 00100001
[3,1,2,4,5,6,9,7,8] => [3,1,2,4,5,6,9,7,8] => [3,1,2,4,5,6,9,7,8] => 01000001
[1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => [1,2,6,3,4,8,5,7] => 0000101
[1,2,7,5,6,3,4,8] => [1,2,6,3,7,5,4,8] => [1,2,7,5,6,3,4,8] => 0000110
[4,8,1,2,3,6,5,7] => [8,1,2,4,6,3,5,7] => [4,6,1,2,3,8,5,7] => 0000101
[1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => 00100000
[6,2,3,8,7,1,4,5] => [7,6,2,1,4,3,8,5] => [6,2,4,8,7,1,3,5] => 0000111
[5,3,1,6,2,7,8,4] => [3,5,6,8,2,1,7,4] => [7,8,2,6,3,1,5,4] => 0101101
[5,1,6,3,2,7,8,4] => [5,3,6,8,1,2,7,4] => [7,8,3,1,6,2,5,4] => 0101101
[5,4,1,6,2,7,8,3] => [4,5,6,8,2,3,7,1] => [7,8,2,6,3,5,4,1] => 0011101
[6,7,2,5,4,1,3,8] => [4,5,2,7,1,6,3,8] => [6,7,2,5,4,1,3,8] => 0011010
[7,1,4,2,5,8,3,6] => [7,4,8,1,2,3,5,6] => [8,1,4,2,7,3,5,6] => 0010011
[6,3,5,7,4,1,8,2] => [4,7,8,6,1,5,2,3] => [6,1,5,8,2,7,4,3] => 0010111
[1,4,8,3,6,2,7,5] => [1,6,8,4,7,3,2,5] => [1,4,7,3,8,2,6,5] => 0000111
[8,3,2,7,4,1,5,6] => [4,3,7,8,2,5,1,6] => [8,3,2,5,7,4,1,6] => 0110011
[7,3,2,6,5,8,1,4] => [8,3,7,1,6,2,5,4] => [6,3,1,7,5,8,2,4] => 0100111
[7,2,4,1,6,8,5,3] => [4,7,5,2,8,1,6,3] => [8,5,2,6,7,1,4,3] => 0011011
[7,1,4,3,6,5,8,2] => [7,8,4,1,6,3,5,2] => [4,1,6,3,8,5,7,2] => 0010111
[4,5,7,6,1,2,8,3] => [6,1,7,4,5,8,3,2] => [4,5,8,3,7,6,1,2] => 0000111
[4,6,5,7,2,1,8,3] => [2,7,8,4,6,5,1,3] => [4,6,5,8,2,1,7,3] => 1000111
[5,2,8,6,3,4,1,7] => [4,5,6,3,2,8,1,7] => [8,6,3,5,2,4,1,7] => 0011101
[5,2,4,6,7,1,8,3] => [7,5,8,2,4,6,1,3] => [6,8,2,4,5,1,7,3] => 0001011
[7,4,8,6,3,5,1,2] => [5,1,6,8,4,7,3,2] => [7,4,8,6,3,5,1,2] => 0001111
[8,3,4,6,1,5,7,2] => [6,7,8,3,1,4,5,2] => [8,3,7,1,4,5,6,2] => 0000111
[8,4,5,6,1,7,2,3] => [6,7,2,8,4,5,1,3] => [8,4,5,7,2,6,1,3] => 0000111
[7,1,5,4,2,3,8,6] => [7,4,2,5,1,8,3,6] => [5,4,2,8,1,3,7,6] => 0011011
[7,2,4,3,6,1,8,5] => [6,7,4,2,8,3,1,5] => [4,2,8,3,7,1,6,5] => 0010111
[6,1,8,4,2,5,7,3] => [6,4,8,7,3,1,5,2] => [7,3,8,4,1,5,6,2] => 0010111
[5,8,3,2,6,7,4,1] => [4,3,7,8,5,1,6,2] => [5,8,3,1,6,7,4,2] => 0110011
[7,1,2,6,8,4,5,3] => [7,1,5,8,4,2,6,3] => [8,4,5,1,2,6,7,3] => 0001011
[8,5,3,1,6,7,2,4] => [3,5,8,2,7,1,6,4] => [7,2,6,8,5,3,1,4] => 0101011
[3,7,5,1,8,4,2,6] => [5,4,3,7,8,1,2,6] => [3,8,4,1,7,5,2,6] => 0011011
[8,2,4,6,7,3,1,5] => [3,7,8,1,2,4,6,5] => [8,1,6,7,3,2,4,5] => 0100011
[4,8,1,6,7,2,3,5] => [8,7,2,4,3,1,6,5] => [4,7,2,3,6,8,1,5] => 0000011
[8,7,2,5,3,6,4,1] => [4,6,7,5,3,1,8,2] => [5,3,8,7,1,6,4,2] => 0011111
[8,7,5,1,6,2,4,3] => [5,7,4,1,6,2,8,3] => [4,1,6,2,8,7,5,3] => 0011111
[1,8,4,6,5,2,7,3] => [1,5,6,7,8,2,3,4] => [1,8,2,7,3,6,5,4] => 0001111
[3,4,6,7,8,2,5,1] => [5,8,3,4,2,6,7,1] => [3,4,6,7,8,2,5,1] => 0001001
[7,2,6,4,8,5,3,1] => [3,5,8,7,6,4,2,1] => [6,4,7,2,8,5,3,1] => 0101111
[2,8,3,4,7,1,6,5] => [7,2,8,3,6,1,4,5] => [2,6,3,8,1,4,7,5] => 0000111
[1,2,8,5,7,6,3,4] => [1,2,6,3,7,8,4,5] => [1,2,8,3,4,7,6,5] => 0000111
[6,8,2,3,7,4,5,1] => [5,8,2,7,4,6,3,1] => [6,7,4,8,2,3,5,1] => 0001011
[5,7,1,4,3,6,8,2] => [7,8,4,1,5,3,6,2] => [4,1,5,8,3,6,7,2] => 0010011
[2,4,7,5,8,6,3,1] => [3,2,6,4,8,7,1,5] => [2,4,7,3,1,8,6,5] => 0100111
[2,6,8,3,4,1,7,5] => [4,2,8,3,7,6,1,5] => [2,6,7,3,4,1,8,5] => 0010011
[1,6,8,3,4,2,7,5] => [1,4,8,3,7,6,2,5] => [1,6,7,3,4,2,8,5] => 0010011
[1,5,8,4,2,3,7,6] => [1,4,2,8,5,7,3,6] => [1,5,7,4,2,3,8,6] => 0010011
[4,1,7,6,2,8,3,5] => [4,6,7,1,2,8,3,5] => [8,1,7,6,2,4,3,5] => 0010111
[2,5,6,3,7,4,8,1] => [8,2,6,7,5,3,4,1] => [2,5,7,3,6,4,8,1] => 0000111
[2,6,5,3,7,4,8,1] => [8,2,5,6,7,4,3,1] => [2,7,4,6,5,3,8,1] => 0001111
[5,7,3,2,8,4,1,6] => [4,3,8,7,5,2,1,6] => [5,7,3,2,8,4,1,6] => 0110011
[2,8,6,1,7,5,3,4] => [6,2,5,1,8,7,3,4] => [2,7,5,1,8,6,3,4] => 0001111
[8,1,5,2,7,4,3,6] => [8,5,4,7,1,3,2,6] => [7,4,1,5,3,8,2,6] => 0011011
[1,4,6,5,3,8,2,7] => [1,8,5,4,6,3,2,7] => [1,4,6,5,3,8,2,7] => 0001101
[3,1,6,8,7,5,4,2] => [3,4,1,5,7,6,8,2] => [6,8,7,5,4,1,3,2] => 0111011
[5,1,8,7,6,3,4,2] => [5,4,6,3,1,7,8,2] => [8,7,6,3,4,1,5,2] => 0011111
[8,4,1,7,3,6,5,2] => [4,8,5,6,7,3,2,1] => [7,3,6,5,2,8,4,1] => 0011111
[5,4,3,1,8,2,6,7] => [3,4,5,8,1,2,6,7] => [8,1,5,4,3,2,6,7] => 0111001
[1,6,8,2,7,4,3,5] => [1,8,4,7,3,6,2,5] => [1,6,7,4,3,8,2,5] => 0010011
[6,4,1,7,3,5,2,8] => [4,6,5,7,1,2,3,8] => [7,1,5,2,6,4,3,8] => 0011110
[4,3,8,5,2,7,6,1] => [6,5,4,3,7,8,1,2] => [4,3,8,5,1,7,6,2] => 0011111
[6,4,2,5,7,8,1,3] => [8,4,1,6,2,5,7,3] => [6,4,1,5,7,8,2,3] => 0010101
[5,4,1,6,7,3,8,2] => [4,5,8,7,2,6,1,3] => [6,7,2,8,1,5,4,3] => 0011011
[4,3,8,5,2,6,1,7] => [6,5,4,3,8,2,1,7] => [4,3,8,5,2,6,1,7] => 0011101
[3,6,5,4,1,8,2,7] => [4,5,3,6,8,1,2,7] => [3,8,1,6,5,4,2,7] => 0011101
[8,5,4,7,3,1,6,2] => [3,7,6,5,8,2,4,1] => [8,5,2,6,4,7,3,1] => 0101111
[7,2,5,3,4,1,8,6] => [4,7,5,3,2,8,1,6] => [5,3,8,2,4,1,7,6] => 0011011
[2,6,5,4,1,8,7,3] => [4,2,5,6,7,1,8,3] => [2,8,7,1,6,5,4,3] => 0011111
[5,7,4,1,2,6,8,3] => [4,1,7,8,5,3,6,2] => [5,8,3,6,7,4,1,2] => 0010011
[6,7,4,1,5,2,3,8] => [4,7,1,5,2,6,3,8] => [5,1,6,7,4,2,3,8] => 0011010
[2,8,6,7,5,3,1,4] => [3,2,5,1,7,8,6,4] => [2,8,6,7,5,3,1,4] => 0101011
[8,6,3,5,4,1,7,2] => [4,5,7,6,1,8,2,3] => [8,6,1,7,2,5,4,3] => 0011111
[8,6,2,5,3,1,4,7] => [3,5,6,2,1,8,4,7] => [8,6,2,5,3,1,4,7] => 0101101
[8,4,7,3,1,2,5,6] => [3,1,7,8,2,5,4,6] => [8,3,1,2,5,7,4,6] => 0100011
[4,8,3,2,6,1,7,5] => [6,3,8,4,7,2,1,5] => [4,7,3,2,8,1,6,5] => 0100111
[1,4,8,7,6,2,5,3] => [1,6,5,4,2,7,8,3] => [1,4,5,2,8,7,6,3] => 0001111
[7,2,4,1,5,3,8,6] => [4,7,5,2,1,8,3,6] => [5,2,8,1,4,3,7,6] => 0011011
[8,5,3,4,1,7,2,6] => [4,7,5,3,8,2,1,6] => [8,5,3,7,2,4,1,6] => 0011011
[2,8,5,4,3,6,1,7] => [6,2,4,5,8,3,1,7] => [2,8,5,4,3,6,1,7] => 0011101
[8,4,2,6,5,7,3,1] => [3,7,4,8,6,1,5,2] => [6,4,1,8,5,7,3,2] => 0110111
[6,2,5,7,1,4,3,8] => [7,6,4,1,2,5,3,8] => [4,1,6,2,5,7,3,8] => 0010110
[6,7,3,1,2,4,8,5] => [3,1,7,2,8,6,4,5] => [6,8,3,1,2,4,7,5] => 0100011
[3,2,6,4,7,1,5,8] => [7,3,2,6,1,4,5,8] => [3,2,6,1,7,4,5,8] => 0100110
[3,6,2,5,7,8,4,1] => [4,8,3,6,1,5,7,2] => [3,6,1,5,7,8,4,2] => 0010101
[1,5,7,6,8,4,2,3] => [1,4,2,8,5,7,6,3] => [1,5,7,6,8,4,2,3] => 0010011
[3,7,6,8,5,1,4,2] => [5,4,3,1,8,7,6,2] => [3,4,1,7,6,8,5,2] => 0011011
[2,7,1,8,6,5,3,4] => [7,2,5,3,6,8,1,4] => [2,8,6,5,3,7,1,4] => 0001111
[1,7,3,6,2,4,8,5] => [1,6,7,2,8,3,4,5] => [1,8,2,7,3,4,6,5] => 0000111
[7,2,5,6,8,1,4,3] => [8,7,4,1,2,5,6,3] => [4,1,7,2,5,6,8,3] => 0010011
[3,1,5,8,4,7,2,6] => [3,7,1,8,5,2,4,6] => [5,8,1,3,2,7,4,6] => 0100011
[4,1,8,5,7,2,6,3] => [4,7,6,1,8,2,5,3] => [8,1,6,5,7,2,4,3] => 0010111
[7,4,5,3,8,1,6,2] => [8,6,5,7,4,1,3,2] => [7,4,5,1,6,3,8,2] => 0001111
[7,3,6,1,4,2,8,5] => [6,4,7,1,8,3,2,5] => [8,1,4,3,7,2,6,5] => 0010111
[4,2,5,8,1,6,3,7] => [8,4,6,2,5,1,3,7] => [5,6,2,4,1,8,3,7] => 0010101
[8,7,2,6,4,5,1,3] => [5,7,1,6,4,2,8,3] => [6,4,8,7,1,5,2,3] => 0001111
[1,2,3,4,8,5,6,9,7] => [1,2,3,4,8,5,9,6,7] => [1,2,3,4,9,5,6,8,7] => 00000011
[1,4,8,5,3,2,7,6] => [1,3,5,4,8,7,2,6] => [1,4,7,5,3,2,8,6] => 0101011
[5,6,3,1,8,2,4,7] => [3,6,8,1,5,2,4,7] => [5,8,1,6,3,2,4,7] => 0100101
[7,6,3,5,2,1,8,4] => [2,5,6,7,4,8,1,3] => [8,4,7,6,2,1,5,3] => 1001111
[6,5,7,2,1,3,8,4] => [2,7,1,8,6,5,3,4] => [6,5,8,2,1,3,7,4] => 1000111
[7,1,3,5,6,8,4,2] => [7,4,1,8,3,5,6,2] => [8,4,1,3,5,6,7,2] => 0010011
[7,1,3,5,6,8,2,4] => [7,8,1,2,3,5,6,4] => [8,1,5,6,7,2,3,4] => 0000011
[5,1,7,4,6,3,8,2] => [5,8,6,7,1,4,3,2] => [7,1,6,4,8,3,5,2] => 0001111
[7,1,4,6,8,5,3,2] => [7,3,5,1,8,4,6,2] => [8,5,3,1,4,6,7,2] => 0101011
[7,2,5,1,6,4,8,3] => [5,7,8,6,2,1,4,3] => [6,2,8,1,7,4,5,3] => 0001111
[1,4,8,5,7,6,3,2] => [1,3,6,4,7,8,2,5] => [1,4,8,3,2,7,6,5] => 0100111
[2,8,1,5,6,4,7,3] => [8,2,7,6,1,5,4,3] => [2,6,1,5,7,4,8,3] => 0000111
[3,7,2,8,1,5,6,4] => [8,7,3,6,1,5,2,4] => [3,6,1,5,7,2,8,4] => 0000111
[8,7,2,1,3,6,5,4] => [2,7,1,5,6,3,8,4] => [6,5,2,1,3,8,7,4] => 1001111
[7,3,2,8,1,4,6,5] => [8,3,7,1,6,4,2,5] => [6,3,1,4,7,2,8,5] => 0100111
[4,6,5,3,1,8,7,2] => [3,5,6,4,7,1,8,2] => [4,8,7,1,6,5,3,2] => 0101111
[8,6,7,4,3,1,5,2] => [3,4,7,5,1,8,6,2] => [5,1,8,6,7,4,3,2] => 0111011
[4,7,1,8,5,3,2,6] => [7,3,5,4,8,2,1,6] => [4,8,5,3,2,7,1,6] => 0101011
[5,1,8,4,3,6,2,7] => [5,6,4,8,1,3,2,7] => [8,4,1,6,3,5,2,7] => 0011101
[8,6,7,1,4,3,5,2] => [7,5,4,1,3,8,6,2] => [4,1,5,3,8,6,7,2] => 0011011
[6,7,5,1,8,3,2,4] => [5,3,7,1,8,6,2,4] => [6,8,3,1,7,5,2,4] => 0101011
[8,5,1,6,4,7,3,2] => [5,3,8,7,6,2,1,4] => [6,3,2,7,1,8,5,4] => 0101111
[8,5,6,1,7,4,2,3] => [6,4,2,7,8,5,1,3] => [8,5,7,4,2,6,1,3] => 0010111
[5,4,1,3,8,7,6,2] => [4,5,2,6,3,7,8,1] => [8,7,6,2,3,5,4,1] => 0011111
[6,4,1,2,5,7,8,3] => [4,1,6,8,3,5,7,2] => [7,8,3,5,6,4,1,2] => 0010101
[5,3,1,4,7,6,2,8] => [3,5,6,2,4,7,1,8] => [7,6,2,4,5,3,1,8] => 0101110
[6,4,5,2,7,1,3,8] => [7,5,1,6,4,2,3,8] => [6,4,5,1,7,2,3,8] => 0001110
[3,1,2,7,6,4,5,8] => [3,1,2,6,4,7,5,8] => [3,1,2,7,6,4,5,8] => 0100110
[5,1,2,7,6,3,4,8] => [5,1,6,3,2,7,4,8] => [7,6,3,5,1,2,4,8] => 0001110
[5,6,1,7,2,4,3,8] => [6,7,4,2,5,1,3,8] => [4,2,5,7,1,6,3,8] => 0010110
[3,5,6,8,1,2,7,4] => [8,1,3,7,5,6,2,4] => [3,5,6,7,1,2,8,4] => 0000011
[2,6,5,3,4,1,7,8] => [4,2,5,3,6,1,7,8] => [2,6,5,3,4,1,7,8] => 0011100
[4,6,1,5,2,8,7,3] => [6,5,7,4,1,2,8,3] => [4,8,7,1,5,2,6,3] => 0001111
[6,1,5,4,2,7,8,3] => [6,4,5,8,1,3,7,2] => [7,8,1,5,4,3,6,2] => 0011101
[2,8,6,5,1,3,7,4] => [5,2,1,6,8,7,3,4] => [2,7,1,3,8,6,5,4] => 0001111
[3,6,8,2,7,5,1,4] => [5,7,3,2,8,6,1,4] => [3,6,8,2,7,5,1,4] => 0001011
[5,6,4,1,7,2,8,3] => [4,6,7,8,5,2,3,1] => [5,8,2,7,3,6,4,1] => 0010111
[3,4,1,6,8,5,7,2] => [4,7,3,1,8,6,5,2] => [3,6,8,5,7,1,4,2] => 0010011
[3,8,6,1,5,7,4,2] => [6,4,3,8,2,7,5,1] => [3,7,4,2,5,8,6,1] => 0010111
[3,4,1,6,7,5,8,2] => [4,8,3,1,7,6,5,2] => [3,6,7,5,8,1,4,2] => 0010011
[3,4,1,5,7,8,6,2] => [4,6,3,1,5,8,7,2] => [3,5,7,8,6,1,4,2] => 0010101
[3,4,1,5,8,6,7,2] => [4,7,3,1,5,8,6,2] => [3,5,8,6,7,1,4,2] => 0010011
[7,4,2,3,1,6,8,5] => [3,4,2,7,8,1,6,5] => [8,4,2,3,1,6,7,5] => 0110011
[3,7,4,5,1,8,2,6] => [5,8,3,7,4,2,1,6] => [3,7,4,8,2,5,1,6] => 0001011
[6,4,3,7,1,8,5,2] => [7,5,4,8,6,2,1,3] => [6,4,2,8,5,1,7,3] => 0011111
[4,3,6,2,5,8,1,7] => [8,6,4,3,2,5,1,7] => [4,3,6,2,5,8,1,7] => 0010101
[5,4,1,3,7,6,2,8] => [4,5,2,6,3,7,1,8] => [7,6,2,3,5,4,1,8] => 0011110
[7,4,6,5,8,3,1,2] => [3,1,8,7,6,4,5,2] => [6,4,7,5,8,3,1,2] => 0100111
[5,2,4,3,8,7,1,6] => [7,5,4,2,3,1,8,6] => [4,2,5,3,8,7,1,6] => 0011011
[8,2,1,4,3,7,5,6] => [2,8,4,1,7,5,3,6] => [4,2,1,7,5,8,3,6] => 1010011
[7,6,8,2,1,5,3,4] => [2,8,5,3,1,7,6,4] => [5,3,7,6,8,2,1,4] => 1001011
[5,4,6,7,2,1,8,3] => [2,7,8,5,4,6,1,3] => [5,4,6,8,2,1,7,3] => 1001011
[6,7,2,5,4,1,8,3] => [4,5,7,8,3,6,2,1] => [6,8,3,7,2,5,4,1] => 0011011
[3,1,8,4,7,5,6,2] => [3,6,1,8,7,5,4,2] => [7,5,8,4,6,1,3,2] => 0100111
[3,8,2,4,1,6,5,7] => [4,8,3,2,6,1,5,7] => [3,6,2,4,1,8,5,7] => 0010101
[7,1,6,8,3,2,4,5] => [7,3,8,2,4,1,6,5] => [8,3,2,4,6,7,1,5] => 0100011
[7,2,8,6,1,3,5,4] => [6,8,2,5,3,7,1,4] => [5,2,3,7,1,8,6,4] => 0001111
[5,7,2,6,4,1,8,3] => [4,6,7,8,5,3,2,1] => [5,8,3,7,2,6,4,1] => 0010111
[4,5,6,1,3,8,2,7] => [6,8,1,4,5,3,2,7] => [4,5,8,1,3,6,2,7] => 0000101
[6,3,5,7,4,2,8,1] => [8,4,7,6,2,5,3,1] => [6,2,5,7,4,3,8,1] => 0010111
[7,6,4,8,5,3,1,2] => [3,1,5,8,6,7,2,4] => [7,6,3,1,2,8,5,4] => 0101111
[8,2,1,6,4,7,3,5] => [2,8,7,6,3,1,4,5] => [6,3,7,2,1,8,4,5] => 1000111
[1,3,8,6,5,2,7,4] => [1,5,3,6,8,7,2,4] => [1,3,7,2,8,6,5,4] => 0001111
[1,6,8,5,4,7,2,3] => [1,7,2,5,8,6,4,3] => [1,6,8,5,4,7,2,3] => 0001011
[2,1,3,7,4,6,8,5] => [2,1,3,7,8,4,6,5] => [2,1,3,8,4,6,7,5] => 1000011
[5,7,1,8,3,2,6,4] => [7,3,8,6,5,2,1,4] => [5,6,3,2,8,1,7,4] => 0100111
[7,4,8,1,3,2,5,6] => [8,3,1,7,2,5,4,6] => [3,1,7,2,5,8,4,6] => 0100011
[4,7,6,1,3,2,5,8] => [6,3,1,4,2,7,5,8] => [3,1,4,7,6,2,5,8] => 0100110
[5,8,4,3,7,6,2,1] => [2,6,4,7,5,8,1,3] => [5,8,4,2,1,7,6,3] => 1010111
[8,1,5,3,4,7,2,6] => [8,7,5,3,1,2,4,6] => [5,3,7,1,8,2,4,6] => 0001011
[1,5,8,6,4,3,7,2] => [1,7,4,6,5,8,3,2] => [1,5,8,6,4,3,7,2] => 0010111
[2,6,1,8,4,7,5,3] => [6,2,5,7,8,1,3,4] => [2,8,1,7,5,3,6,4] => 0001111
[5,3,8,6,1,2,7,4] => [6,1,5,8,3,7,4,2] => [7,3,5,4,8,6,1,2] => 0001111
[4,6,2,3,7,1,8,5] => [7,6,2,4,8,3,1,5] => [4,8,2,3,6,1,7,5] => 0000111
[7,5,6,3,2,1,8,4] => [2,3,6,8,7,5,1,4] => [7,5,8,3,2,1,6,4] => 1100111
[7,5,2,3,6,1,8,4] => [6,5,2,7,8,4,1,3] => [8,4,7,5,2,6,1,3] => 0001111
[7,5,3,6,2,1,8,4] => [2,6,5,7,8,4,1,3] => [8,4,7,5,2,1,6,3] => 1001111
[6,5,7,1,4,2,8,3] => [7,4,8,1,6,5,2,3] => [6,5,8,1,4,2,7,3] => 0010111
[7,6,3,2,1,4,8,5] => [2,3,6,1,7,8,5,4] => [8,5,7,6,3,2,1,4] => 1100111
[7,5,2,1,6,3,8,4] => [2,5,7,6,8,3,4,1] => [8,3,6,4,7,5,2,1] => 1001111
[5,3,8,2,7,4,6,1] => [6,8,5,7,3,4,2,1] => [7,3,5,4,8,2,6,1] => 0001111
[7,1,5,4,2,6,8,3] => [7,4,5,8,1,3,6,2] => [8,1,5,4,3,6,7,2] => 0011011
[6,2,8,5,3,7,1,4] => [7,6,5,1,8,2,3,4] => [8,5,1,6,2,7,3,4] => 0001111
[6,3,2,8,4,7,5,1] => [5,3,7,6,8,4,1,2] => [8,4,6,3,1,7,5,2] => 0101111
[5,4,7,2,1,3,8,6] => [2,7,1,5,4,8,3,6] => [5,4,8,2,1,3,7,6] => 1001011
[6,5,3,2,7,8,4,1] => [4,3,8,5,6,1,7,2] => [6,5,3,1,7,8,4,2] => 0111101
[2,6,4,5,7,1,8,3] => [7,2,8,6,4,5,1,3] => [2,6,4,5,8,1,7,3] => 0000111
[4,6,7,5,8,2,1,3] => [2,8,1,4,7,6,5,3] => [4,6,7,5,8,2,1,3] => 1000011
[7,3,2,8,4,5,6,1] => [6,3,7,8,4,5,2,1] => [8,4,5,7,3,2,6,1] => 0100111
[6,7,2,1,4,8,3,5] => [2,7,8,1,3,6,4,5] => [6,8,2,1,7,3,4,5] => 1000011
[2,5,7,6,4,1,8,3] => [4,2,6,7,5,8,1,3] => [2,5,8,1,7,6,4,3] => 0010111
[5,1,4,6,2,7,8,3] => [5,6,8,1,4,2,7,3] => [7,8,1,4,6,2,5,3] => 0001101
[1,2,5,3,7,8,6,4] => [1,2,5,6,3,8,7,4] => [1,2,7,8,6,3,5,4] => 0001101
[4,8,3,5,1,2,7,6] => [5,1,8,4,3,7,2,6] => [4,7,3,5,1,2,8,6] => 0001011
[3,1,5,8,2,6,7,4] => [3,8,1,7,5,2,6,4] => [5,7,1,3,2,6,8,4] => 0100011
[2,8,5,3,1,7,4,6] => [3,2,5,8,7,1,4,6] => [2,7,3,1,8,5,4,6] => 0101011
[7,2,1,6,4,8,3,5] => [2,7,8,6,3,1,4,5] => [6,3,8,2,1,7,4,5] => 1000111
[2,1,3,7,5,8,4,6] => [2,1,3,8,7,4,5,6] => [2,1,3,7,4,8,5,6] => 1000011
[4,2,7,5,6,8,1,3] => [8,4,1,2,7,5,6,3] => [4,1,7,5,6,8,2,3] => 0010011
[2,1,3,4,5,8,6,7,9] => [2,1,3,4,5,8,6,7,9] => [2,1,3,4,5,8,6,7,9] => 10000010
[2,7,3,5,1,4,6,8] => [5,2,7,1,3,4,6,8] => [2,7,1,5,3,4,6,8] => 0001010
[2,7,8,3,5,1,4,6] => [5,2,8,1,3,4,7,6] => [2,7,8,1,5,3,4,6] => 0001001
[6,7,4,1,3,5,8,2] => [4,7,2,8,3,6,5,1] => [6,8,2,3,5,7,4,1] => 0010011
[7,2,8,3,5,6,4,1] => [4,6,7,8,1,5,3,2] => [8,1,5,7,3,6,4,2] => 0010111
[6,8,2,5,4,7,3,1] => [3,7,8,5,1,6,4,2] => [5,1,6,8,4,7,3,2] => 0101011
[5,1,8,7,3,6,2,4] => [5,6,7,2,1,3,8,4] => [8,7,2,6,1,5,3,4] => 0001111
[5,6,4,2,8,7,1,3] => [7,4,1,6,5,2,8,3] => [5,6,4,1,8,7,2,3] => 0010111
[5,7,4,2,6,1,8,3] => [6,4,7,8,5,3,1,2] => [5,8,3,7,4,1,6,2] => 0010111
[5,4,7,1,6,2,8,3] => [7,6,8,5,4,1,2,3] => [5,4,8,1,6,2,7,3] => 0001111
[5,7,1,8,2,4,3,6] => [7,8,4,2,5,3,1,6] => [4,2,5,8,3,7,1,6] => 0010011
[6,7,1,2,5,8,4,3] => [7,1,4,8,2,6,5,3] => [6,8,4,1,2,5,7,3] => 0010011
[8,1,4,6,5,2,3,7] => [8,5,2,1,6,4,3,7] => [6,5,2,4,8,1,3,7] => 0001101
[6,1,7,3,8,4,5,2] => [6,5,7,8,4,1,3,2] => [8,4,7,1,5,3,6,2] => 0001111
[1,8,7,2,3,4,6,5] => [1,7,2,3,6,4,8,5] => [1,6,2,3,4,8,7,5] => 0000111
[1,3,2,7,4,6,8,5] => [1,3,2,7,8,4,6,5] => [1,3,2,8,4,6,7,5] => 0100011
[1,3,8,4,6,2,7,5] => [1,6,3,8,7,4,2,5] => [1,3,7,4,8,2,6,5] => 0000111
[4,2,5,8,6,7,3,1] => [3,7,4,1,5,8,6,2] => [4,1,5,8,6,7,3,2] => 0110011
[5,8,4,6,2,7,3,1] => [3,7,6,8,5,4,1,2] => [5,8,4,6,1,7,3,2] => 0100111
[6,8,3,7,2,4,5,1] => [5,7,8,2,4,6,3,1] => [6,8,2,4,7,3,5,1] => 0001011
[6,1,3,8,5,4,2,7] => [6,4,1,5,8,3,2,7] => [8,5,4,1,3,6,2,7] => 0011101
[5,6,4,2,1,7,3,8] => [2,4,6,7,5,3,1,8] => [5,7,3,6,4,2,1,8] => 1010110
[3,6,7,5,4,1,8,2] => [4,5,3,7,8,6,1,2] => [3,6,8,1,7,5,4,2] => 0011011
[8,4,3,6,5,7,1,2] => [7,1,4,8,6,3,5,2] => [6,4,3,8,5,7,1,2] => 0010111
[6,8,5,2,1,4,3,7] => [2,5,4,1,8,6,3,7] => [4,2,1,6,8,5,3,7] => 1011001
[8,4,6,5,2,7,1,3] => [7,5,1,6,8,2,4,3] => [8,1,6,5,4,7,2,3] => 0001111
[8,2,1,5,7,4,3,6] => [2,8,4,7,1,3,5,6] => [7,4,2,1,8,3,5,6] => 1010011
[8,7,1,2,3,5,4,6] => [7,1,2,5,3,4,8,6] => [5,1,2,3,8,7,4,6] => 0001011
[1,2,7,5,8,6,3,4] => [1,2,6,3,8,7,4,5] => [1,2,7,3,4,8,6,5] => 0000111
[1,7,8,4,2,6,3,5] => [1,4,8,6,2,3,7,5] => [1,6,2,7,8,4,3,5] => 0010101
[6,4,8,5,2,7,3,1] => [3,7,5,8,6,1,4,2] => [6,1,8,5,4,7,3,2] => 0101111
[6,4,7,5,1,2,3,8] => [5,1,2,7,6,3,4,8] => [6,1,2,3,7,5,4,8] => 0001110
[6,2,1,5,3,7,8,4] => [2,6,5,8,1,3,7,4] => [7,8,2,1,5,3,6,4] => 1001101
[1,5,8,3,2,6,4,7] => [1,3,8,6,5,2,4,7] => [1,5,6,3,2,8,4,7] => 0100101
[6,2,5,1,3,8,7,4] => [5,6,1,7,2,3,8,4] => [8,7,1,6,2,3,5,4] => 0001111
[6,2,8,5,1,3,7,4] => [5,8,2,6,7,4,3,1] => [7,4,6,2,3,8,5,1] => 0001111
[6,3,5,7,1,8,2,4] => [7,8,6,2,3,5,1,4] => [6,2,5,8,3,7,1,4] => 0000111
[6,4,2,5,7,8,3,1] => [3,8,4,6,1,5,7,2] => [6,4,1,5,7,8,3,2] => 0110101
[2,7,8,5,1,6,3,4] => [5,2,8,1,6,3,7,4] => [2,6,1,7,8,5,3,4] => 0001101
[2,7,8,3,5,1,6,4] => [5,2,8,6,3,1,7,4] => [2,6,3,7,8,1,5,4] => 0001101
[2,3,7,5,8,1,6,4] => [8,2,3,6,7,1,5,4] => [2,3,7,1,6,5,8,4] => 0000111
[2,3,7,5,8,6,4,1] => [4,2,3,6,8,7,1,5] => [2,3,7,4,1,8,6,5] => 0010111
[4,3,1,7,8,2,5,6] => [3,4,8,2,1,5,7,6] => [7,8,2,4,3,1,5,6] => 0110001
[2,5,7,8,3,6,4,1] => [4,2,6,8,5,1,7,3] => [2,5,7,8,1,6,4,3] => 0010101
[5,8,1,6,4,7,2,3] => [8,7,2,6,5,1,4,3] => [5,6,2,7,4,8,1,3] => 0000111
[6,5,1,2,7,4,8,3] => [5,1,6,8,7,3,2,4] => [7,3,8,1,2,6,5,4] => 0001111
[3,6,5,7,8,2,4,1] => [4,8,3,2,6,5,7,1] => [3,6,5,7,8,2,4,1] => 0010101
[3,6,5,1,8,7,4,2] => [5,4,3,6,7,2,8,1] => [3,8,7,4,2,6,5,1] => 0011111
[7,4,5,8,1,3,2,6] => [8,3,1,7,4,2,5,6] => [3,1,7,4,8,2,5,6] => 0100011
[8,7,2,1,6,4,3,5] => [2,7,4,6,3,1,8,5] => [6,4,3,8,7,2,1,5] => 1010111
[7,8,1,2,5,4,3,6] => [8,1,4,5,2,3,7,6] => [5,4,1,2,7,8,3,6] => 0011001
[8,7,1,2,6,4,3,5] => [7,1,4,6,3,2,8,5] => [6,4,3,8,7,1,2,5] => 0010111
[4,1,7,6,8,5,2,3] => [4,5,2,1,8,7,6,3] => [7,6,8,5,2,4,1,3] => 0011011
[3,8,4,2,6,5,7,1] => [7,4,3,8,6,2,5,1] => [3,6,4,2,8,5,7,1] => 0010111
[3,8,5,1,6,4,7,2] => [5,8,3,7,6,2,1,4] => [3,6,2,7,1,8,5,4] => 0001111
[4,8,5,1,6,3,7,2] => [5,8,7,4,6,2,1,3] => [4,6,2,7,1,8,5,3] => 0001111
[4,1,5,8,6,3,7,2] => [4,7,6,1,5,8,3,2] => [5,8,6,1,7,3,4,2] => 0010111
[7,2,6,4,1,5,3,8] => [4,6,7,5,2,3,1,8] => [5,2,7,3,6,4,1,8] => 0011110
[1,2,6,5,8,3,7,4] => [1,2,8,7,6,5,3,4] => [1,2,6,5,7,3,8,4] => 0000111
[4,1,8,3,2,5,7,6] => [4,3,8,1,2,7,5,6] => [7,3,1,4,2,5,8,6] => 0110011
[8,4,2,1,6,3,7,5] => [2,4,8,6,7,3,1,5] => [7,3,6,4,2,1,8,5] => 1010111
[8,2,6,1,5,7,4,3] => [6,8,4,7,1,2,5,3] => [7,4,1,8,2,5,6,3] => 0010111
[5,1,8,4,3,6,7,2] => [5,7,4,8,1,3,6,2] => [8,4,1,6,7,3,5,2] => 0011011
[1,8,4,6,2,3,5,7] => [1,6,2,8,3,4,5,7] => [1,8,2,3,6,4,5,7] => 0000101
[4,1,3,5,6,2,7,8] => [4,6,1,3,5,2,7,8] => [5,6,1,3,4,2,7,8] => 0010100
[2,6,1,3,7,5,8,4] => [6,2,1,8,7,3,5,4] => [2,7,1,3,8,5,6,4] => 0000111
[3,8,5,2,6,4,1,7] => [4,6,3,5,8,1,2,7] => [3,8,5,1,6,4,2,7] => 0011101
[8,2,5,7,6,1,4,3] => [6,7,4,2,1,8,5,3] => [4,2,8,1,5,7,6,3] => 0010111
[5,3,1,8,6,7,4,2] => [3,5,4,7,2,8,6,1] => [8,6,7,4,2,5,3,1] => 0111011
[5,7,1,6,4,2,8,3] => [7,4,6,8,5,1,3,2] => [5,8,1,6,4,3,7,2] => 0010111
[2,7,1,6,5,8,4,3] => [7,2,4,8,6,1,5,3] => [2,6,4,1,8,5,7,3] => 0010111
[5,7,3,2,1,4,8,6] => [2,3,7,1,5,8,4,6] => [5,8,3,2,1,4,7,6] => 1100011
[7,6,2,8,5,3,1,4] => [3,5,8,1,6,7,2,4] => [7,6,1,8,5,3,2,4] => 0101111
[6,1,5,7,3,4,8,2] => [6,8,7,3,1,5,4,2] => [7,3,5,8,1,4,6,2] => 0000111
[7,1,2,3,8,4,6,5] => [7,1,2,8,6,4,3,5] => [6,4,8,1,2,3,7,5] => 0000111
[4,1,3,5,2,7,6,8] => [4,5,1,3,2,7,6,8] => [5,1,3,4,2,7,6,8] => 0011010
[4,1,5,7,2,8,6,3] => [4,7,6,1,5,8,2,3] => [5,8,6,1,7,2,4,3] => 0010111
[9,5,4,3,2,1,6,7,8] => [2,3,4,5,9,1,6,7,8] => [9,5,4,3,2,1,6,7,8] => 11110001
[4,5,7,6,2,8,3,1] => [3,8,6,4,5,7,1,2] => [4,5,7,6,1,8,3,2] => 0100111
[6,2,8,5,4,3,7,1] => [7,6,4,5,8,2,3,1] => [8,5,4,2,6,3,7,1] => 0011111
[5,8,4,7,6,1,2,3] => [6,1,2,7,5,8,3,4] => [5,8,1,2,3,7,6,4] => 0000111
[4,8,5,7,3,2,6,1] => [6,3,7,4,8,2,5,1] => [4,8,3,2,7,5,6,1] => 0100111
[8,7,4,3,1,2,6,5] => [3,1,4,7,6,2,8,5] => [6,4,3,1,2,8,7,5] => 0110111
[7,3,2,6,5,1,4,8] => [5,3,6,2,7,1,4,8] => [7,3,2,6,5,1,4,8] => 0101110
[2,6,5,8,7,1,4,3] => [7,2,4,1,6,5,8,3] => [2,4,1,6,5,8,7,3] => 0010111
[2,6,8,4,7,1,3,5] => [7,2,1,8,3,6,4,5] => [2,6,8,1,3,7,4,5] => 0000011
[8,3,4,2,1,5,7,6] => [2,4,8,3,1,7,5,6] => [7,3,4,2,1,5,8,6] => 1010011
[7,8,6,3,2,5,4,1] => [4,3,5,6,1,8,7,2] => [7,8,6,3,1,5,4,2] => 0111101
[5,4,2,8,1,6,7,3] => [8,4,5,7,3,1,6,2] => [7,3,5,4,1,6,8,2] => 0011011
[5,3,1,8,7,4,6,2] => [3,5,6,7,2,4,8,1] => [8,7,2,6,4,5,3,1] => 0101111
[5,2,8,6,3,1,4,7] => [3,6,5,2,1,8,4,7] => [5,2,8,6,3,1,4,7] => 0101101
[4,2,5,6,8,3,7,1] => [7,4,8,2,5,6,3,1] => [5,6,8,2,4,3,7,1] => 0010011
[7,4,8,1,2,6,5,3] => [8,1,5,6,7,2,3,4] => [7,1,2,6,5,3,8,4] => 0001111
[1,6,4,8,2,3,5,7] => [1,8,2,6,3,4,5,7] => [1,6,2,3,8,4,5,7] => 0000101
[7,2,4,1,8,6,3,5] => [4,7,6,2,3,8,1,5] => [8,6,2,7,3,4,1,5] => 0010111
[4,8,7,2,1,3,6,5] => [2,7,1,4,6,3,8,5] => [4,6,2,1,3,8,7,5] => 1000111
[5,8,1,3,7,4,6,2] => [8,6,1,7,5,4,3,2] => [5,7,4,6,1,3,8,2] => 0000111
[2,8,5,6,4,1,7,3] => [4,2,6,7,8,5,3,1] => [2,8,5,7,3,6,4,1] => 0010111
[1,4,7,3,5,8,6,2] => [1,6,8,4,2,7,5,3] => [1,4,7,2,5,8,6,3] => 0000111
[3,7,8,2,5,1,6,4] => [5,8,3,6,2,1,7,4] => [3,6,2,7,8,1,5,4] => 0001101
[8,6,1,4,3,2,7,5] => [6,3,4,1,8,7,5,2] => [4,3,1,7,5,8,6,2] => 0110111
[6,3,7,8,1,2,5,4] => [8,1,6,5,2,3,7,4] => [5,1,2,6,3,7,8,4] => 0001101
[7,6,1,5,2,3,8,4] => [6,5,2,7,4,8,3,1] => [8,4,5,2,3,7,6,1] => 0001111
[6,8,4,2,1,7,3,5] => [2,4,8,7,1,6,3,5] => [6,7,2,1,8,4,3,5] => 1010011
[1,8,5,6,3,7,4,2] => [1,4,7,6,8,5,2,3] => [1,8,5,6,2,7,4,3] => 0010111
[6,7,8,2,4,1,5,3] => [4,8,5,2,1,6,7,3] => [5,2,6,7,8,1,4,3] => 0011001
[5,4,2,1,7,6,8,3] => [2,4,5,8,3,7,6,1] => [7,6,8,3,5,4,2,1] => 1011011
[6,4,1,3,7,8,5,2] => [4,6,2,5,8,3,7,1] => [7,8,5,2,3,6,4,1] => 0011101
[2,3,1,7,4,6,5,8] => [3,2,1,7,6,4,5,8] => [2,3,1,6,4,7,5,8] => 0100110
[1,7,8,2,3,4,6,5] => [1,8,2,3,6,4,7,5] => [1,6,2,3,4,7,8,5] => 0000101
[8,2,4,6,3,1,5,7] => [3,6,8,1,2,4,5,7] => [8,1,6,3,2,4,5,7] => 0100101
[5,7,4,8,3,1,2,6] => [3,1,8,7,5,2,4,6] => [5,7,3,1,2,8,4,6] => 0100011
[3,7,2,8,1,4,6,5] => [8,7,3,1,6,4,2,5] => [3,6,1,4,7,2,8,5] => 0000111
[1,6,7,3,8,2,4,5] => [1,8,7,2,4,6,3,5] => [1,6,7,2,4,8,3,5] => 0000011
[5,3,7,1,2,6,4,8] => [7,1,5,6,3,2,4,8] => [6,3,5,1,2,7,4,8] => 0001110
[6,7,2,8,1,4,5,3] => [8,7,5,1,4,6,2,3] => [5,1,4,6,7,2,8,3] => 0001011
[7,1,4,5,6,3,8,2] => [7,8,6,1,4,5,3,2] => [6,1,4,5,8,3,7,2] => 0000111
[4,5,1,7,8,6,2,3] => [5,6,2,4,1,8,7,3] => [4,7,8,6,2,5,1,3] => 0001101
[1,6,4,7,5,3,2,8] => [1,3,5,7,6,2,4,8] => [1,6,3,2,7,5,4,8] => 0101110
[1,6,5,3,2,7,4,8] => [1,3,5,6,7,4,2,8] => [1,7,4,6,5,3,2,8] => 0101110
[1,6,8,7,4,5,3,2] => [1,3,5,7,4,6,8,2] => [1,6,8,7,4,5,3,2] => 0101011
[1,4,7,5,3,2,6,8] => [1,3,5,4,7,2,6,8] => [1,4,7,5,3,2,6,8] => 0101010
[1,7,5,4,3,2,8,6] => [1,3,4,5,7,8,2,6] => [1,8,5,4,3,2,7,6] => 0111011
[1,4,7,5,3,2,8,6] => [1,3,5,4,7,8,2,6] => [1,4,8,5,3,2,7,6] => 0101011
[3,6,4,8,1,2,5,7] => [8,1,3,6,2,4,5,7] => [3,6,1,2,8,4,5,7] => 0000101
[2,7,5,6,1,4,8,3] => [6,2,8,1,7,5,4,3] => [2,7,5,8,1,4,6,3] => 0000111
[2,4,1,7,6,8,3,5] => [4,2,8,1,3,7,6,5] => [2,7,6,8,1,4,3,5] => 0010011
[3,5,8,4,2,6,1,7] => [6,4,3,8,5,2,1,7] => [3,5,8,4,2,6,1,7] => 0010101
[8,3,6,5,1,7,4,2] => [5,4,6,7,8,1,3,2] => [8,1,7,4,3,6,5,2] => 0011111
[4,3,1,6,2,5,8,7] => [3,4,6,2,1,5,8,7] => [6,2,4,3,1,5,8,7] => 0110101
[7,5,2,1,8,4,3,6] => [2,5,4,7,8,1,3,6] => [8,4,2,1,7,5,3,6] => 1011011
[7,1,5,8,2,3,4,6] => [7,8,2,3,1,4,5,6] => [8,2,3,7,1,4,5,6] => 0000011
[4,7,1,2,5,6,3,8] => [7,1,6,4,2,5,3,8] => [4,6,1,2,5,7,3,8] => 0000110
[6,7,3,1,8,2,4,5] => [3,7,8,1,4,6,2,5] => [6,8,1,4,7,3,2,5] => 0100011
[5,3,6,8,1,7,4,2] => [8,4,7,5,2,6,1,3] => [5,2,6,7,4,1,8,3] => 0011011
[8,3,7,6,5,4,1,2] => [4,1,5,6,7,8,2,3] => [8,1,2,7,6,5,4,3] => 0011111
[1,2,3,4,5,8,9,7,6] => [1,2,3,4,5,7,9,8,6] => [1,2,3,4,5,8,9,7,6] => 00000101
[1,2,4,7,8,5,6,3] => [1,2,6,4,8,5,7,3] => [1,2,4,7,8,5,6,3] => 0000101
[8,3,6,5,7,4,2,1] => [2,4,7,8,6,1,5,3] => [6,2,1,8,5,7,4,3] => 1010111
[8,2,6,3,7,5,4,1] => [4,5,7,8,6,1,2,3] => [6,1,8,2,7,5,4,3] => 0011111
[8,5,7,1,4,3,6,2] => [7,6,4,1,8,3,5,2] => [4,1,8,3,6,5,7,2] => 0010111
[8,6,2,1,4,5,3,7] => [2,6,5,1,4,8,3,7] => [5,2,1,4,8,6,3,7] => 1001101
[4,1,5,3,2,6,7,8] => [4,3,5,1,2,6,7,8] => [5,3,1,4,2,6,7,8] => 0111000
[5,8,7,2,4,6,3,1] => [3,6,7,1,5,4,8,2] => [5,8,7,1,4,6,3,2] => 0100111
[5,6,3,1,2,8,4,7] => [3,1,6,8,5,2,4,7] => [5,8,3,1,2,6,4,7] => 0100101
[5,3,8,4,6,1,2,7] => [6,1,5,8,3,4,2,7] => [8,3,5,4,6,1,2,7] => 0001101
[5,3,6,8,4,1,2,7] => [4,1,8,5,2,6,3,7] => [5,1,2,6,8,4,3,7] => 0011001
[5,3,1,2,6,4,8,7] => [3,1,5,6,2,4,8,7] => [6,3,1,2,5,4,8,7] => 0101101
[3,5,4,7,8,1,6,2] => [8,6,3,5,4,1,7,2] => [3,5,4,6,1,7,8,2] => 0001101
[2,1,6,5,8,7,3,4] => [2,1,7,3,6,5,8,4] => [2,1,6,5,8,7,3,4] => 1000111
[6,4,5,7,1,8,3,2] => [7,3,8,6,4,5,1,2] => [6,4,5,8,3,1,7,2] => 0100111
[4,8,2,5,7,3,6,1] => [6,8,7,4,2,3,5,1] => [4,7,2,8,3,5,6,1] => 0000111
[3,7,8,1,6,2,5,4] => [8,6,3,5,2,1,7,4] => [3,5,2,6,1,7,8,4] => 0001101
[3,4,6,1,7,5,8,2] => [6,8,3,4,7,1,5,2] => [3,4,7,1,8,5,6,2] => 0000111
[6,1,5,4,7,3,8,2] => [6,8,7,5,1,4,3,2] => [5,1,7,4,8,3,6,2] => 0001111
[3,2,5,6,7,1,8,4] => [7,3,2,8,5,6,1,4] => [3,2,5,6,8,1,7,4] => 0100011
[6,4,5,1,7,3,8,2] => [5,8,7,6,4,1,3,2] => [6,4,7,1,8,3,5,2] => 0001111
[6,1,5,3,7,2,8,4] => [6,7,5,8,1,3,2,4] => [8,1,5,3,7,2,6,4] => 0001111
[8,6,5,1,7,3,4,2] => [5,4,6,3,8,7,1,2] => [7,3,4,1,8,6,5,2] => 0011111
[8,7,2,1,6,3,5,4] => [2,7,6,5,3,1,8,4] => [5,3,6,2,1,8,7,4] => 1001111
[3,1,8,4,2,7,6,5] => [3,4,1,8,6,7,2,5] => [7,6,4,1,3,2,8,5] => 0110111
[8,2,3,1,7,6,4,5] => [3,8,2,6,4,7,1,5] => [7,6,4,8,2,3,1,5] => 0100111
[7,2,5,8,3,1,4,6] => [3,8,7,2,1,4,5,6] => [7,2,8,3,1,4,5,6] => 0100011
[6,8,2,3,1,7,4,5] => [3,8,2,7,4,6,1,5] => [6,7,4,8,2,3,1,5] => 0100011
[8,2,5,7,3,1,4,6] => [3,7,8,2,1,4,5,6] => [8,2,7,3,1,4,5,6] => 0100011
[8,2,7,3,1,4,5,6] => [3,7,8,2,4,5,1,6] => [8,2,4,5,7,3,1,6] => 0100011
[6,2,3,7,1,8,5,4] => [7,6,2,5,8,3,1,4] => [8,5,2,3,6,1,7,4] => 0001111
[8,6,7,4,1,3,5,2] => [4,7,2,5,3,8,6,1] => [5,2,3,8,6,7,4,1] => 0011011
[4,1,3,6,5,2,8,7] => [4,5,1,3,6,2,8,7] => [6,5,1,3,4,2,8,7] => 0011101
[4,8,3,2,6,5,7,1] => [7,3,8,4,6,2,5,1] => [4,6,3,2,8,5,7,1] => 0100111
[4,8,3,6,5,2,7,1] => [7,5,6,4,8,2,3,1] => [4,8,2,6,5,3,7,1] => 0001111
[8,1,6,2,5,4,7,3] => [8,6,7,5,2,1,4,3] => [5,2,7,1,6,4,8,3] => 0001111
[2,6,3,8,5,4,7,1] => [7,2,6,5,8,3,4,1] => [2,8,5,3,6,4,7,1] => 0001111
[6,1,3,2,5,8,7,4] => [6,3,1,7,2,5,8,4] => [3,1,8,7,2,5,6,4] => 0100111
[6,8,4,3,5,2,7,1] => [7,5,4,8,3,6,2,1] => [6,8,4,3,5,2,7,1] => 0011011
[3,5,4,6,1,2,8,7] => [6,1,3,5,4,2,8,7] => [3,5,4,6,1,2,8,7] => 0001101
[7,3,5,6,1,8,2,4] => [6,8,7,2,3,5,1,4] => [7,2,5,8,3,6,1,4] => 0000111
[4,6,7,2,3,5,8,1] => [8,7,2,4,3,6,5,1] => [4,6,7,2,3,5,8,1] => 0000011
[4,6,1,5,2,3,7,8] => [6,5,2,4,1,3,7,8] => [4,5,2,6,1,3,7,8] => 0001100
[5,7,4,3,6,2,1,8] => [2,6,4,7,5,3,1,8] => [5,7,4,3,6,2,1,8] => 1010110
[4,5,3,8,1,6,2,7] => [8,6,5,4,3,1,2,7] => [4,5,3,6,1,8,2,7] => 0001101
[4,7,1,2,6,8,5,3] => [7,1,5,4,8,2,6,3] => [4,8,5,1,2,6,7,3] => 0001011
[1,2,3,4,5,9,6,7,10,8] => [1,2,3,4,5,9,6,10,7,8] => [1,2,3,4,5,10,6,7,9,8] => 000000011
[7,2,4,6,8,1,5,3] => [8,7,5,2,1,4,6,3] => [5,2,7,1,4,6,8,3] => 0001011
[6,2,5,4,7,8,1,3] => [8,6,1,5,2,4,7,3] => [5,1,6,4,7,8,2,3] => 0001101
[5,6,1,8,4,2,3,7] => [6,4,2,8,5,1,3,7] => [5,8,4,2,6,1,3,7] => 0010101
[7,4,2,6,1,3,8,5] => [6,4,1,7,8,2,3,5] => [8,4,1,7,2,3,6,5] => 0010111
[6,1,7,4,2,3,8,5] => [6,4,2,7,8,1,3,5] => [8,4,2,7,1,3,6,5] => 0010111
[8,5,6,1,3,2,7,4] => [6,3,1,7,8,5,2,4] => [3,1,8,5,7,2,6,4] => 0100111
[4,3,7,5,2,8,6,1] => [6,5,4,3,8,7,1,2] => [4,3,7,5,1,8,6,2] => 0011111
[5,1,7,6,2,4,3,8] => [5,6,4,2,1,7,3,8] => [4,2,7,6,1,5,3,8] => 0011110
[5,4,6,1,2,8,7,3] => [6,1,7,5,4,2,8,3] => [5,4,8,7,1,2,6,3] => 0001111
[5,6,1,3,7,8,2,4] => [6,8,1,2,5,3,7,4] => [5,7,8,1,6,2,3,4] => 0000101
[8,2,6,4,3,7,5,1] => [5,7,4,8,6,3,1,2] => [6,4,3,8,1,7,5,2] => 0011111
[8,6,3,2,7,4,5,1] => [5,3,6,8,2,7,4,1] => [7,3,2,8,6,4,5,1] => 0101111
[5,7,1,3,6,2,8,4] => [7,6,1,8,5,3,2,4] => [5,8,1,3,6,2,7,4] => 0000111
[6,8,2,5,7,3,1,4] => [3,7,8,2,1,6,5,4] => [6,8,2,5,7,3,1,4] => 0100011
[4,6,5,1,7,8,2,3] => [5,6,1,4,8,2,7,3] => [4,7,8,1,6,5,2,3] => 0001101
[5,8,7,3,4,2,6,1] => [6,4,7,3,5,2,8,1] => [5,8,7,3,4,2,6,1] => 0010111
[3,8,5,6,4,1,7,2] => [4,6,3,7,8,5,2,1] => [3,8,5,7,2,6,4,1] => 0010111
[6,4,3,8,7,5,2,1] => [2,5,4,7,6,1,8,3] => [6,4,2,1,8,7,5,3] => 1011111
[8,7,6,5,4,1,9,3,2] => [4,3,5,6,7,8,9,1,2] => [9,3,1,8,7,6,5,4,2] => 01111111
[8,5,2,3,7,4,6,1] => [6,5,2,8,7,3,4,1] => [7,2,3,8,5,4,6,1] => 0001111
[8,5,2,3,6,4,7,1] => [7,5,2,8,6,4,3,1] => [6,4,8,5,2,3,7,1] => 0001111
[4,7,2,3,5,8,6,1] => [6,8,1,4,3,7,5,2] => [4,7,1,3,5,8,6,2] => 0000111
[4,8,2,5,6,7,3,1] => [3,7,8,4,1,5,6,2] => [4,8,1,5,6,7,3,2] => 0100011
[7,2,5,8,4,3,6,1] => [6,7,4,8,2,3,5,1] => [8,4,2,7,3,5,6,1] => 0010111
[1,7,5,3,4,8,6,2] => [1,6,5,2,8,7,4,3] => [1,7,5,2,4,8,6,3] => 0001111
[5,8,2,3,4,7,6,1] => [6,7,1,3,5,8,4,2] => [5,8,1,3,4,7,6,2] => 0000111
[5,3,1,6,4,8,7,2] => [3,5,7,6,2,4,8,1] => [6,2,8,7,4,5,3,1] => 0101111
[8,3,4,1,7,6,5,2] => [4,5,6,3,7,8,1,2] => [8,3,7,6,5,1,4,2] => 0011111
[5,6,7,1,2,4,8,3] => [7,1,8,2,5,6,4,3] => [5,6,8,1,2,4,7,3] => 0000011
[7,1,6,8,3,2,5,4] => [7,3,8,5,2,1,6,4] => [5,3,2,8,1,6,7,4] => 0101011
[2,7,1,6,4,3,8,5] => [7,2,4,6,8,1,3,5] => [2,8,4,1,6,3,7,5] => 0010111
[4,5,7,8,1,2,6,3] => [8,1,6,4,5,2,7,3] => [4,5,6,1,2,7,8,3] => 0000101
[9,5,4,3,2,1,8,7,6] => [2,3,4,5,9,7,8,1,6] => [8,7,5,4,3,2,1,9,6] => 11110111
[9,3,2,1,8,7,6,5,4] => [2,3,9,5,6,7,8,1,4] => [8,7,6,5,3,2,1,9,4] => 11011111
[10,6,5,4,3,2,1,9,8,7] => [2,3,4,5,6,10,8,9,1,7] => [9,8,6,5,4,3,2,1,10,7] => 111110111
[10,5,4,3,2,1,9,8,7,6] => [2,3,4,5,10,7,8,9,1,6] => [9,8,7,5,4,3,2,1,10,6] => 111101111
[10,4,3,2,1,9,8,7,6,5] => [2,3,4,10,6,7,8,9,1,5] => [9,8,7,6,4,3,2,1,10,5] => 111011111
[10,3,2,1,9,8,7,6,5,4] => [2,3,10,5,6,7,8,9,1,4] => [9,8,7,6,5,3,2,1,10,4] => 110111111
[3,7,8,5,6,2,4,1] => [4,6,3,2,8,5,7,1] => [3,7,8,5,6,2,4,1] => 0010101
[4,5,7,3,8,1,2,6] => [8,1,7,4,5,2,3,6] => [4,5,7,1,2,8,3,6] => 0000011
[4,3,8,7,1,6,2,5] => [7,6,4,3,2,1,8,5] => [4,3,6,2,8,7,1,5] => 0010111
[4,7,2,3,6,5,8,1] => [8,7,2,4,6,3,5,1] => [4,6,2,3,7,5,8,1] => 0000111
[1,7,5,8,6,2,4,3] => [1,6,4,2,8,7,3,5] => [1,4,2,7,3,8,6,5] => 0010111
[5,3,6,1,8,4,7,2] => [6,7,5,8,3,1,4,2] => [8,3,5,1,7,4,6,2] => 0001111
[4,2,1,8,5,7,6,3] => [2,4,6,1,7,8,3,5] => [8,2,1,4,3,7,6,5] => 1010111
[1,3,2,8,6,4,7,5] => [1,3,2,6,8,7,5,4] => [1,3,2,7,5,8,6,4] => 0100111
[7,8,2,1,5,6,3,4] => [2,8,6,3,1,5,7,4] => [6,3,5,7,8,2,1,4] => 1000101
[7,2,6,4,8,5,1,3] => [5,8,2,7,6,4,1,3] => [6,4,7,2,8,5,1,3] => 0001111
[5,1,4,6,3,8,7,2] => [5,7,6,1,4,3,8,2] => [6,1,4,8,7,3,5,2] => 0001111
[5,2,6,4,3,7,1,8] => [7,5,4,6,2,3,1,8] => [6,4,2,5,3,7,1,8] => 0011110
[6,2,7,5,3,4,8,1] => [8,6,5,3,7,2,4,1] => [7,5,3,6,2,4,8,1] => 0001111
[7,1,2,6,4,8,3,5] => [7,1,8,6,3,2,4,5] => [6,3,8,1,2,7,4,5] => 0000111
[5,4,6,2,1,8,3,7] => [2,6,8,5,4,1,3,7] => [5,4,8,2,1,6,3,7] => 1001101
[10,8,7,6,9,5,4,3,2,1] => [2,3,4,5,9,7,8,10,6,1] => [10,8,7,6,9,5,4,3,2,1] => 111101111
[4,6,1,3,7,8,2,5] => [6,8,1,4,2,3,7,5] => [4,7,8,1,6,2,3,5] => 0000101
[2,7,5,6,1,3,8,4] => [6,2,1,8,7,5,3,4] => [2,7,5,8,1,3,6,4] => 0000111
[7,2,4,5,1,6,8,3] => [5,7,8,2,4,1,6,3] => [8,2,4,6,7,1,5,3] => 0001011
[4,2,5,8,7,6,1,3] => [6,4,1,2,5,7,8,3] => [4,1,5,8,7,6,2,3] => 0010111
[3,8,1,4,7,5,6,2] => [8,6,3,1,7,5,4,2] => [3,7,5,6,1,4,8,2] => 0000111
[6,4,1,5,3,8,7,2] => [4,6,7,5,2,1,8,3] => [5,2,8,7,1,6,4,3] => 0011111
[8,1,6,7,4,5,3,2] => [8,3,5,7,4,1,6,2] => [7,4,5,3,1,6,8,2] => 0101011
[8,1,6,4,7,5,3,2] => [8,3,5,7,6,1,2,4] => [6,3,1,7,5,2,8,4] => 0101111
[6,4,8,1,5,3,7,2] => [8,7,5,6,1,4,3,2] => [6,1,5,4,7,3,8,2] => 0001111
[2,6,3,8,1,5,7,4] => [8,2,6,7,1,3,5,4] => [2,7,1,6,3,5,8,4] => 0000111
[8,2,4,5,7,1,3,6] => [7,8,1,2,4,3,5,6] => [8,1,4,7,2,3,5,6] => 0000011
[5,1,8,6,3,7,2,4] => [5,7,6,2,1,8,3,4] => [8,6,2,7,1,5,3,4] => 0001111
[8,1,3,7,4,6,2,5] => [8,6,1,7,2,4,3,5] => [7,1,6,4,8,2,3,5] => 0000111
[8,1,5,7,4,3,6,2] => [8,6,4,7,1,3,5,2] => [7,4,1,6,3,5,8,2] => 0010111
[8,3,6,2,7,1,4,5] => [7,6,8,1,4,3,2,5] => [8,1,4,6,3,7,2,5] => 0000111
[1,6,4,3,5,8,2,7] => [1,8,4,6,3,5,2,7] => [1,6,4,3,5,8,2,7] => 0010101
[2,7,6,3,5,1,8,4] => [5,2,6,7,4,8,1,3] => [2,8,4,7,6,1,5,3] => 0001111
[8,4,3,1,6,7,2,5] => [3,4,8,7,2,1,6,5] => [7,2,6,8,4,3,1,5] => 0110011
[5,7,6,3,4,2,1,8] => [2,4,6,3,5,7,1,8] => [5,7,6,3,4,2,1,8] => 1010110
[5,6,2,4,7,1,3,8] => [7,6,1,2,5,4,3,8] => [5,6,1,4,7,2,3,8] => 0000110
[5,7,8,1,3,6,2,4] => [8,6,1,2,5,3,7,4] => [5,6,1,7,8,2,3,4] => 0000101
[4,3,6,1,2,7,8,5] => [6,1,4,3,8,2,7,5] => [4,3,7,8,1,2,6,5] => 0010101
[3,7,6,2,5,1,8,4] => [5,6,3,7,4,8,1,2] => [3,8,4,7,6,1,5,2] => 0001111
[4,7,2,5,3,1,6,8] => [3,5,7,4,1,2,6,8] => [4,7,1,5,3,2,6,8] => 0101010
[4,1,6,5,3,2,8,7] => [4,3,5,1,6,2,8,7] => [6,5,3,1,4,2,8,7] => 0111101
[7,8,3,5,1,6,2,4] => [5,6,8,2,3,1,7,4] => [7,8,2,6,3,5,1,4] => 0001101
[5,1,7,8,2,6,3,4] => [5,8,6,3,1,2,7,4] => [6,3,7,8,1,5,2,4] => 0001101
[7,2,6,1,3,5,8,4] => [6,7,1,8,3,2,5,4] => [8,1,3,7,2,5,6,4] => 0000111
[6,2,7,1,5,8,3,4] => [7,6,8,3,1,2,5,4] => [8,3,6,1,5,7,2,4] => 0000111
[2,5,7,4,6,1,8,3] => [6,2,8,7,5,4,1,3] => [2,5,7,4,8,1,6,3] => 0000111
[7,8,6,1,5,4,2,3] => [6,4,2,5,1,8,7,3] => [5,4,2,7,8,6,1,3] => 0011101
[8,1,6,2,5,7,4,3] => [8,6,4,7,2,1,5,3] => [7,4,2,6,1,5,8,3] => 0010111
[6,8,7,3,4,2,5,1] => [5,4,7,3,2,6,8,1] => [6,8,7,3,4,2,5,1] => 0011011
[4,1,6,3,2,8,7,5] => [4,3,6,1,7,2,8,5] => [8,7,3,1,4,2,6,5] => 0110111
[2,4,1,8,7,5,6,3] => [4,2,6,1,7,5,8,3] => [2,8,7,5,6,1,4,3] => 0010111
[2,8,7,5,1,4,6,3] => [5,2,7,3,6,4,8,1] => [2,6,3,4,8,7,5,1] => 0001111
[5,7,3,6,4,1,8,2] => [4,6,8,7,5,1,2,3] => [5,7,1,8,2,6,4,3] => 0010111
[3,7,5,6,4,1,8,2] => [4,6,3,8,7,5,2,1] => [3,7,5,8,2,6,4,1] => 0010111
[7,5,1,3,4,2,8,6] => [5,4,1,3,7,8,2,6] => [4,1,3,8,5,2,7,6] => 0011011
[2,8,5,7,3,4,6,1] => [6,2,7,3,8,4,5,1] => [2,8,3,4,7,5,6,1] => 0000111
[8,5,1,3,4,2,6,7] => [5,4,1,3,8,2,6,7] => [4,1,3,8,5,2,6,7] => 0011001
[6,1,5,3,4,2,7,8] => [6,4,5,3,1,2,7,8] => [5,3,4,1,6,2,7,8] => 0011100
[2,4,3,1,5,6,7,8,9,10] => [3,2,4,1,5,6,7,8,9,10] => [2,4,3,1,5,6,7,8,9,10] => 011000000
[2,1,3,8,5,4,6,7] => [2,1,3,5,8,4,6,7] => [2,1,3,8,5,4,6,7] => 1001001
[1,7,8,6,3,2,4,5] => [1,3,6,2,4,8,7,5] => [1,7,8,6,3,2,4,5] => 0100101
[3,7,4,2,5,1,8,6] => [5,4,3,7,2,8,1,6] => [3,8,4,2,5,1,7,6] => 0011011
[1,8,3,4,5,7,2,6] => [1,7,8,3,4,2,5,6] => [1,8,3,4,7,2,5,6] => 0000011
[4,7,5,8,2,3,6,1] => [6,8,2,4,7,3,5,1] => [4,7,2,3,8,5,6,1] => 0000111
[2,6,7,5,3,8,1,4] => [8,2,5,1,7,6,3,4] => [2,6,7,5,1,8,3,4] => 0001011
[4,5,2,6,8,7,1,3] => [7,5,1,4,2,6,8,3] => [4,5,1,6,8,7,2,3] => 0001011
[7,6,2,5,4,3,8,1] => [8,6,4,5,2,7,3,1] => [5,4,2,7,6,3,8,1] => 0011111
[7,8,2,6,5,4,3,1] => [3,4,5,6,8,1,7,2] => [7,8,1,6,5,4,3,2] => 0111101
[1,7,2,4,8,5,6,3] => [1,7,6,2,8,5,4,3] => [1,8,5,6,2,4,7,3] => 0000111
[8,4,1,3,2,6,5,7] => [4,3,1,8,6,2,5,7] => [3,1,6,4,2,8,5,7] => 0110101
[6,4,5,2,1,8,7,3] => [2,5,7,6,4,1,8,3] => [6,4,8,7,2,1,5,3] => 1001111
[7,4,1,3,8,6,2,5] => [4,7,2,6,1,8,3,5] => [8,6,2,7,4,1,3,5] => 0010111
[4,3,8,6,1,5,7,2] => [6,8,4,3,2,7,5,1] => [4,3,7,2,5,8,6,1] => 0010111
[5,3,8,2,1,7,4,6] => [2,8,5,7,3,4,1,6] => [7,3,5,4,8,2,1,6] => 1001011
[2,5,1,3,8,6,4,7] => [5,2,1,6,3,8,4,7] => [2,8,6,1,3,5,4,7] => 0001101
[1,8,2,4,6,5,7,3] => [1,8,7,2,6,4,5,3] => [1,6,2,4,7,5,8,3] => 0000111
[1,8,2,6,4,3,7,5] => [1,8,4,6,7,2,3,5] => [1,7,4,2,6,3,8,5] => 0010111
[1,6,4,3,8,7,2,5] => [1,7,4,6,2,3,8,5] => [1,6,4,2,8,7,3,5] => 0010111
[8,4,2,1,6,5,7,3] => [2,4,8,7,6,3,5,1] => [6,3,7,5,8,4,2,1] => 1010111
[6,8,7,1,4,2,3,5] => [7,4,2,1,3,6,8,5] => [4,2,6,8,7,1,3,5] => 0010011
[1,4,7,6,8,3,5,2] => [1,5,8,4,3,7,6,2] => [1,4,7,6,8,3,5,2] => 0001011
[2,8,4,6,7,1,5,3] => [7,2,5,8,1,4,6,3] => [2,8,1,5,4,6,7,3] => 0001011
[1,7,5,2,4,3,8,6] => [1,5,4,2,7,8,3,6] => [1,4,2,8,5,3,7,6] => 0011011
[7,1,2,4,5,3,8,6] => [7,1,5,2,4,8,3,6] => [5,1,2,4,8,3,7,6] => 0001011
[7,1,3,5,2,4,8,6] => [7,5,1,2,3,8,4,6] => [5,1,8,2,3,4,7,6] => 0001011
[9,7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,9,2,1] => [9,7,6,5,4,3,2,8,1] => 01111111
[3,6,5,2,8,4,7,1] => [7,5,3,6,8,4,2,1] => [3,8,4,6,5,2,7,1] => 0001111
[3,4,8,6,1,7,2,5] => [6,8,3,4,1,7,2,5] => [3,4,7,1,8,6,2,5] => 0000111
[5,4,1,8,2,6,7,3] => [4,5,8,7,2,3,6,1] => [7,2,6,8,3,5,4,1] => 0011011
[6,3,5,7,8,4,1,2] => [4,1,8,6,2,5,7,3] => [6,1,2,5,7,8,4,3] => 0010101
[5,4,8,1,3,6,2,7] => [8,6,1,5,4,3,2,7] => [5,4,6,1,3,8,2,7] => 0001101
[2,7,1,4,8,5,3,6] => [7,2,5,1,8,3,4,6] => [2,8,5,1,7,3,4,6] => 0001011
[6,1,7,8,3,5,4,2] => [6,4,5,8,2,1,7,3] => [7,8,2,5,4,1,6,3] => 0011101
[4,8,2,3,7,5,1,6] => [5,7,1,4,8,2,3,6] => [4,8,1,7,5,2,3,6] => 0001011
[7,6,2,8,4,5,1,3] => [5,6,1,7,2,8,4,3] => [8,1,7,6,4,5,2,3] => 0001111
[8,7,3,4,2,1,6,5] => [2,4,7,3,6,1,8,5] => [6,3,4,2,1,8,7,5] => 1010111
[8,7,1,3,6,4,5,2] => [7,5,1,6,4,3,8,2] => [6,4,5,1,3,8,7,2] => 0001111
[6,8,1,5,7,3,2,4] => [8,3,7,2,1,6,5,4] => [6,7,3,2,5,8,1,4] => 0100011
[8,4,5,6,7,1,3,2] => [7,3,1,8,4,5,6,2] => [3,1,8,4,5,6,7,2] => 0100011
[7,8,4,6,5,2,1,3] => [2,5,1,6,8,3,7,4] => [7,8,2,1,3,6,5,4] => 1001101
[5,2,7,1,6,3,8,4] => [7,5,6,8,2,1,3,4] => [8,2,6,1,5,3,7,4] => 0001111
[1,7,2,5,3,6,8,4] => [1,7,5,8,2,3,6,4] => [1,8,2,5,3,6,7,4] => 0001011
[6,2,5,7,1,8,3,4] => [7,6,8,3,2,5,1,4] => [8,3,5,6,2,7,1,4] => 0000111
[4,1,3,5,7,2,6,8] => [4,7,1,3,5,2,6,8] => [5,7,1,3,4,2,6,8] => 0010010
[4,1,8,2,7,6,5,3] => [4,8,5,1,6,7,2,3] => [7,6,5,1,8,2,4,3] => 0011111
[1,5,2,6,7,4,8,3] => [1,5,8,7,2,6,4,3] => [1,6,7,2,8,4,5,3] => 0001011
[1,6,5,3,8,7,4,2] => [1,4,7,5,6,2,8,3] => [1,6,5,2,8,7,4,3] => 0011111
[4,1,7,5,6,8,2,3] => [4,8,2,1,7,5,6,3] => [7,5,6,8,2,4,1,3] => 0010011
[6,2,3,8,1,4,7,5] => [8,6,2,1,7,3,4,5] => [7,2,6,1,3,4,8,5] => 0000111
[3,7,6,2,1,4,5,8] => [2,6,3,1,4,7,5,8] => [3,7,6,2,1,4,5,8] => 1000110
[4,2,1,6,7,5,8,3] => [2,4,8,1,7,6,5,3] => [6,7,5,8,2,1,4,3] => 1010011
[5,1,7,6,4,3,8,2] => [5,8,4,6,1,7,3,2] => [7,6,4,1,8,3,5,2] => 0011111
[1,5,8,3,7,2,4,6] => [1,7,8,2,5,4,3,6] => [1,5,8,2,4,7,3,6] => 0000011
[5,1,3,7,6,8,2,4] => [5,8,1,2,3,7,6,4] => [7,6,8,1,5,2,3,4] => 0001011
[1,6,8,7,2,5,4,3] => [1,7,4,5,2,6,8,3] => [1,5,4,2,6,8,7,3] => 0011011
[5,3,1,6,7,2,8,4] => [3,5,7,8,2,6,1,4] => [6,8,2,7,3,1,5,4] => 0101011
[2,5,3,6,1,4,8,7] => [6,2,5,1,3,4,8,7] => [2,5,1,6,3,4,8,7] => 0001101
[1,2,3,4,7,5,6,9,8] => [1,2,3,4,7,5,6,9,8] => [1,2,3,4,7,5,6,9,8] => 00000101
[4,8,5,2,1,3,7,6] => [2,5,1,4,8,7,3,6] => [4,7,5,2,1,3,8,6] => 1001011
[5,8,4,2,1,3,7,6] => [2,4,1,8,5,7,3,6] => [5,7,4,2,1,3,8,6] => 1010011
[4,6,7,5,2,3,1,8] => [3,5,2,4,7,6,1,8] => [4,6,7,5,2,3,1,8] => 0101010
[6,2,5,3,8,7,1,4] => [7,6,5,1,2,3,8,4] => [5,1,6,2,8,7,3,4] => 0001111
[6,4,5,3,8,7,1,2] => [7,1,5,6,4,3,8,2] => [6,4,5,3,8,7,1,2] => 0001111
[8,4,7,5,2,3,1,6] => [3,5,2,7,8,4,1,6] => [8,4,7,5,2,3,1,6] => 0101011
[8,2,6,7,5,3,1,4] => [3,5,7,1,8,2,6,4] => [8,1,6,7,5,3,2,4] => 0101011
[4,6,5,3,8,7,1,2] => [7,1,5,4,6,3,8,2] => [4,6,5,3,8,7,1,2] => 0001111
[6,7,2,4,5,3,1,8] => [3,5,7,1,4,6,2,8] => [6,7,1,4,5,3,2,8] => 0101010
[6,8,7,4,5,3,1,2] => [3,1,5,7,4,6,8,2] => [6,8,7,4,5,3,1,2] => 0101011
[2,8,4,7,5,3,1,6] => [3,2,5,7,8,4,1,6] => [2,8,4,7,5,3,1,6] => 0101011
[6,5,8,4,7,2,1,3] => [2,7,1,8,6,5,4,3] => [6,5,8,4,7,2,1,3] => 1000111
[6,8,1,2,4,7,3,5] => [8,1,7,2,3,6,4,5] => [6,7,1,2,8,3,4,5] => 0000011
[8,6,1,3,7,4,2,5] => [6,4,2,8,1,7,3,5] => [7,4,2,8,6,1,3,5] => 0010111
[8,3,7,6,2,5,4,1] => [4,5,6,7,1,8,3,2] => [8,1,7,6,3,5,4,2] => 0011111
[8,6,1,2,5,4,7,3] => [6,1,8,5,3,7,4,2] => [5,3,7,4,8,6,1,2] => 0001111
[1,2,3,4,6,5,8,7,9] => [1,2,3,4,6,5,8,7,9] => [1,2,3,4,6,5,8,7,9] => 00001010
[1,2,3,4,8,9,5,6,7] => [1,2,3,4,9,5,6,8,7] => [1,2,3,4,8,9,5,6,7] => 00000001
[6,4,5,8,1,7,2,3] => [8,7,2,6,4,5,1,3] => [6,4,5,7,2,8,1,3] => 0000111
[10,8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,10,8,1] => [10,8,9,7,6,5,4,3,2,1] => 111111011
[11,9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,11,9,1] => [11,9,10,8,7,6,5,4,3,2,1] => 1111111011
[9,6,7,8,5,4,3,2,1] => [2,3,4,5,8,9,6,7,1] => [9,6,7,8,5,4,3,2,1] => 11110011
[10,8,9,6,5,4,3,2,1,7] => [2,3,4,5,6,9,1,10,8,7] => [10,8,9,6,5,4,3,2,1,7] => 111110011
[9,7,8,4,3,2,1,5,6] => [2,3,4,8,1,5,9,7,6] => [9,7,8,4,3,2,1,5,6] => 11100011
[9,7,10,1,2,3,4,5,6,8] => [10,1,2,3,4,5,9,6,7,8] => [9,1,2,3,4,5,6,10,7,8] => 000000011
[9,8,7,6,5,2,3,4,1] => [4,5,2,3,6,7,8,9,1] => [9,8,7,6,5,2,3,4,1] => 00111111
[2,7,3,6,5,8,4,1] => [4,2,8,7,6,1,5,3] => [2,6,1,7,5,8,4,3] => 0010111
[1,6,7,5,3,2,8,4] => [1,3,5,7,8,6,4,2] => [1,6,8,4,7,5,3,2] => 0101011
[7,3,4,6,1,8,2,5] => [6,8,7,3,2,4,1,5] => [7,3,8,2,4,6,1,5] => 0000111
[3,7,4,1,2,6,8,5] => [4,1,3,7,8,2,6,5] => [3,8,4,1,2,6,7,5] => 0010011
[6,8,1,2,7,3,4,5] => [8,1,7,3,4,6,2,5] => [6,7,3,4,8,1,2,5] => 0000011
[3,8,1,2,4,7,6,5] => [8,1,3,2,6,7,4,5] => [3,7,6,1,2,4,8,5] => 0000111
[1,4,5,7,3,6,8,2] => [1,8,7,4,5,3,6,2] => [1,4,5,7,3,6,8,2] => 0000011
[4,6,8,7,1,5,3,2] => [7,3,5,4,1,6,8,2] => [4,5,3,1,6,8,7,2] => 0101011
[1,3,8,7,5,2,6,4] => [1,5,3,7,6,4,8,2] => [1,3,6,4,8,7,5,2] => 0001111
[3,2,4,6,1,8,5,7] => [6,3,2,4,8,1,5,7] => [3,2,4,8,1,6,5,7] => 0100101
[4,2,7,3,5,8,1,6] => [8,4,7,2,3,1,5,6] => [7,2,4,3,8,1,5,6] => 0010011
[4,2,7,8,6,3,1,5] => [3,6,4,1,2,8,7,5] => [4,1,7,8,6,3,2,5] => 0110101
[7,4,3,1,2,6,8,5] => [3,1,4,7,8,2,6,5] => [8,4,3,1,2,6,7,5] => 0110011
[7,3,2,6,8,4,5,1] => [5,3,7,8,4,2,6,1] => [8,4,6,7,3,2,5,1] => 0101011
[2,4,5,7,1,6,8,3] => [7,2,8,4,5,1,6,3] => [2,4,5,8,1,6,7,3] => 0000011
[8,4,2,6,7,3,5,1] => [5,4,8,7,2,3,6,1] => [7,2,6,8,4,3,5,1] => 0011011
[5,2,4,8,7,3,6,1] => [6,5,7,2,4,3,8,1] => [8,7,2,4,5,3,6,1] => 0001111
[7,1,2,4,6,3,5,8] => [7,1,6,2,3,4,5,8] => [6,1,2,7,3,4,5,8] => 0000110
[7,8,2,3,5,6,4,1] => [4,6,1,8,3,5,7,2] => [7,8,1,3,5,6,4,2] => 0010101
[4,1,5,7,8,6,2,3] => [4,6,2,1,5,8,7,3] => [5,7,8,6,2,4,1,3] => 0010101
[6,1,4,8,2,3,7,5] => [6,8,2,1,7,4,3,5] => [7,2,4,8,1,3,6,5] => 0000111
[2,8,5,7,6,3,4,1] => [4,2,6,3,7,8,1,5] => [2,8,3,4,1,7,6,5] => 0010111
[2,5,7,8,6,4,1,3] => [4,2,1,6,5,8,7,3] => [2,5,7,8,6,4,1,3] => 0010101
[8,7,4,6,2,5,3,1] => [3,5,6,7,1,4,8,2] => [8,7,1,6,4,5,3,2] => 0101111
[6,1,7,4,8,5,2,3] => [6,5,2,8,7,1,3,4] => [7,2,8,5,1,3,6,4] => 0001111
[8,2,4,6,3,1,7,5] => [3,6,8,1,7,4,2,5] => [7,1,4,8,3,2,6,5] => 0100111
[7,4,1,8,6,2,5,3] => [4,7,6,5,3,8,2,1] => [5,3,8,6,2,7,4,1] => 0011111
[1,8,6,2,7,5,3,4] => [1,6,5,2,8,7,3,4] => [1,7,5,2,8,6,3,4] => 0001111
[2,8,5,1,7,6,3,4] => [5,2,8,1,6,7,3,4] => [2,7,6,1,8,5,3,4] => 0001111
[4,8,7,1,6,2,5,3] => [7,6,5,4,2,1,8,3] => [4,5,2,6,1,8,7,3] => 0001111
[1,8,3,7,5,4,2,6] => [1,4,5,7,8,2,3,6] => [1,8,2,7,5,4,3,6] => 0011011
[3,8,7,1,6,2,4,5] => [7,6,3,2,4,1,8,5] => [3,6,2,4,8,7,1,5] => 0000111
[8,3,1,2,5,4,7,6] => [3,1,8,5,2,7,4,6] => [5,3,1,2,7,4,8,6] => 0101011
[8,1,5,3,7,4,2,6] => [8,4,7,5,1,3,2,6] => [5,1,7,4,3,8,2,6] => 0011011
[1,2,4,8,6,7,3,5] => [1,2,7,4,3,8,6,5] => [1,2,4,8,6,7,3,5] => 0000011
[8,1,2,6,5,7,3,4] => [8,1,7,3,6,2,5,4] => [6,3,7,5,8,1,2,4] => 0000111
[7,1,2,6,5,8,3,4] => [7,1,8,3,6,2,5,4] => [6,3,8,5,7,1,2,4] => 0000111
[2,7,1,4,5,6,8,3] => [7,2,8,1,4,5,6,3] => [2,8,1,4,5,6,7,3] => 0000011
[2,6,1,4,7,5,8,3] => [6,2,8,1,7,4,5,3] => [2,7,1,4,8,5,6,3] => 0000111
[3,1,7,5,2,6,8,4] => [3,5,1,7,8,4,6,2] => [8,4,6,7,5,1,3,2] => 0101011
[5,2,7,3,1,6,8,4] => [3,7,5,8,1,2,6,4] => [8,1,5,3,2,6,7,4] => 0101011
[4,6,3,1,2,7,8,5] => [3,1,6,4,8,2,7,5] => [4,7,8,3,1,2,6,5] => 0100101
[5,7,2,4,6,8,3,1] => [3,8,7,1,5,4,6,2] => [5,7,1,4,6,8,3,2] => 0100011
[2,3,8,1,5,4,6,7] => [8,2,3,5,1,4,6,7] => [2,3,5,1,8,4,6,7] => 0001001
[2,3,5,6,8,4,7,1] => [7,2,3,8,5,6,4,1] => [2,3,5,6,8,4,7,1] => 0000011
[2,4,5,8,3,6,7,1] => [7,2,8,4,5,3,6,1] => [2,4,5,8,3,6,7,1] => 0000011
[3,1,6,4,2,7,5,8] => [3,4,1,6,7,2,5,8] => [7,4,1,3,2,6,5,8] => 0110110
[8,4,6,2,5,3,1,7] => [3,5,6,8,1,4,2,7] => [8,1,6,4,5,3,2,7] => 0101101
[1,7,5,4,2,3,8,6] => [1,4,2,5,7,8,3,6] => [1,8,5,4,2,3,7,6] => 0011011
[5,1,7,6,4,8,2,3] => [5,8,2,6,1,7,4,3] => [7,6,2,8,4,5,1,3] => 0001111
[5,7,3,6,2,4,8,1] => [8,6,7,2,5,3,4,1] => [5,7,2,6,3,4,8,1] => 0000111
[5,7,1,6,2,4,8,3] => [7,6,8,2,5,1,4,3] => [5,8,2,6,1,4,7,3] => 0000111
[6,1,2,4,7,5,8,3] => [6,1,8,2,7,4,5,3] => [7,1,2,4,8,5,6,3] => 0000111
[5,2,8,3,6,1,7,4] => [6,5,8,7,2,3,1,4] => [7,2,8,3,5,1,6,4] => 0001111
[8,1,4,3,6,2,5,7] => [8,6,4,1,2,3,5,7] => [4,1,6,2,8,3,5,7] => 0010101
[8,7,1,3,5,6,4,2] => [7,4,1,6,3,5,8,2] => [6,4,1,3,5,8,7,2] => 0010111
[8,1,4,6,7,5,3,2] => [8,3,5,1,7,4,6,2] => [7,5,3,1,4,6,8,2] => 0101011
[6,1,5,7,4,2,3,8] => [6,4,2,7,1,5,3,8] => [7,4,2,5,6,1,3,8] => 0010110
[1,4,7,8,3,6,5,2] => [1,5,6,4,8,2,7,3] => [1,4,7,8,2,6,5,3] => 0001101
[1,6,3,7,8,4,2,5] => [1,4,8,6,3,2,7,5] => [1,6,3,7,8,4,2,5] => 0010101
[3,2,7,8,5,6,4,1] => [4,3,2,6,8,5,7,1] => [3,2,7,8,5,6,4,1] => 0110101
[4,3,8,7,2,5,6,1] => [6,7,4,3,2,5,8,1] => [4,3,8,7,2,5,6,1] => 0010111
[7,4,2,8,5,6,3,1] => [3,6,4,7,8,5,1,2] => [8,5,7,4,1,6,3,2] => 0110111
[1,6,3,8,7,4,5,2] => [1,5,6,7,4,3,8,2] => [1,8,7,4,6,3,5,2] => 0001111
[2,1,3,8,6,4,5,7] => [2,1,3,6,4,8,5,7] => [2,1,3,8,6,4,5,7] => 1000101
[1,3,6,4,5,8,2,7] => [1,8,3,6,4,5,2,7] => [1,3,6,4,5,8,2,7] => 0000101
[6,5,1,3,8,2,4,7] => [5,6,2,1,8,3,4,7] => [8,2,6,5,1,3,4,7] => 0001101
[8,3,5,6,2,1,7,4] => [2,6,8,7,3,5,1,4] => [7,3,5,8,2,1,6,4] => 1000111
[7,3,6,5,4,8,2,1] => [2,8,7,5,6,3,4,1] => [6,5,3,7,4,8,2,1] => 1001111
[8,9,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,9,8,2,1] => [8,9,7,6,5,4,3,2,10,1] => 011111011
[3,5,6,7,1,8,4,2] => [7,4,3,8,5,6,1,2] => [3,5,6,8,4,1,7,2] => 0010011
[2,7,8,3,6,1,5,4] => [6,2,8,5,1,3,7,4] => [2,5,1,7,8,3,6,4] => 0001101
[1,7,8,3,6,2,5,4] => [1,6,8,5,2,3,7,4] => [1,5,2,7,8,3,6,4] => 0001101
[7,8,4,3,6,1,5,2] => [6,5,4,8,1,3,7,2] => [7,8,4,1,5,3,6,2] => 0011101
[7,1,6,4,3,8,5,2] => [7,5,4,8,6,1,2,3] => [6,4,1,8,5,2,7,3] => 0011111
[8,7,3,4,1,5,2,6] => [4,5,7,3,1,2,8,6] => [8,7,3,5,1,4,2,6] => 0011011
[1,7,5,4,3,8,2,6] => [1,8,4,5,7,2,3,6] => [1,7,5,4,2,8,3,6] => 0011011
[7,4,5,1,8,2,6,3] => [5,8,6,7,4,2,1,3] => [7,4,6,2,8,1,5,3] => 0001111
[1,6,4,8,5,2,3,7] => [1,5,2,8,6,3,4,7] => [1,6,2,3,8,5,4,7] => 0001101
[2,6,3,8,4,5,1,7] => [5,2,6,8,4,3,1,7] => [2,8,4,6,3,5,1,7] => 0001101
[5,8,6,4,2,7,1,3] => [7,4,1,6,5,8,2,3] => [5,8,6,4,1,7,2,3] => 0010111
[7,1,5,3,8,2,4,6] => [7,8,5,2,1,4,3,6] => [5,2,8,1,4,7,3,6] => 0001011
[1,6,4,5,2,8,3,7] => [1,5,8,6,4,2,3,7] => [1,6,4,8,2,5,3,7] => 0001101
[4,5,1,6,3,8,7,2] => [5,7,6,4,1,3,8,2] => [4,6,1,8,7,3,5,2] => 0001111
[3,7,5,2,8,1,6,4] => [8,5,3,7,6,1,4,2] => [3,6,1,7,5,4,8,2] => 0001111
[4,6,7,1,3,8,2,5] => [7,8,1,4,2,6,3,5] => [4,6,8,1,7,2,3,5] => 0000011
[2,7,3,4,1,8,5,6] => [4,2,7,3,8,5,1,6] => [2,8,5,7,3,4,1,6] => 0010011
[8,5,3,2,7,4,6,1] => [6,3,5,8,7,2,4,1] => [7,3,2,8,5,4,6,1] => 0101111
[4,8,7,1,5,6,2,3] => [7,6,2,4,1,5,8,3] => [4,6,2,5,8,7,1,3] => 0000111
[7,4,3,6,8,5,2,1] => [2,5,4,8,7,1,6,3] => [7,4,2,1,6,8,5,3] => 1011011
[7,8,2,6,5,3,4,1] => [4,8,5,3,6,2,7,1] => [6,5,3,7,8,2,4,1] => 0011101
[2,6,7,8,3,5,4,1] => [4,2,5,8,1,6,7,3] => [2,6,7,8,1,5,4,3] => 0011001
[8,6,4,5,1,3,7,2] => [5,7,1,6,4,8,3,2] => [8,6,4,7,1,3,5,2] => 0001111
[7,4,8,5,3,6,1,2] => [6,1,5,8,7,4,3,2] => [7,4,8,5,3,6,1,2] => 0001111
[8,4,6,5,1,3,7,2] => [5,6,2,7,8,1,3,4] => [8,2,7,1,3,6,5,4] => 0001111
[4,5,3,8,7,1,2,6] => [7,1,5,4,3,2,8,6] => [4,5,3,8,7,1,2,6] => 0001011
[2,3,7,8,1,4,6,5] => [8,2,3,1,6,4,7,5] => [2,3,6,1,4,7,8,5] => 0000101
[8,2,3,5,4,1,7,6] => [4,5,1,8,3,7,2,6] => [7,1,3,5,4,2,8,6] => 0011011
[6,2,5,4,1,8,3,7] => [4,5,6,8,3,2,1,7] => [8,3,6,2,5,4,1,7] => 0011101
[8,4,1,2,3,7,6,5] => [4,1,2,8,6,7,3,5] => [7,6,4,1,2,3,8,5] => 0010111
[8,4,1,5,3,7,6,2] => [4,8,6,5,2,7,1,3] => [5,2,7,6,1,8,4,3] => 0011111
[8,3,1,4,2,7,6,5] => [3,8,4,2,6,7,1,5] => [4,2,7,6,3,1,8,5] => 0110111
[8,1,2,5,4,3,7,6] => [8,1,4,5,2,7,3,6] => [5,4,1,2,7,3,8,6] => 0011011
[8,3,6,4,2,7,5,1] => [5,4,7,6,8,1,2,3] => [8,1,6,4,2,7,5,3] => 0011111
[3,7,5,2,8,4,6,1] => [6,5,3,7,8,2,4,1] => [3,8,2,7,5,4,6,1] => 0001111
[1,7,2,5,6,4,8,3] => [1,7,8,6,2,5,4,3] => [1,6,2,5,8,4,7,3] => 0000111
[7,4,2,6,8,5,3,1] => [3,5,4,8,7,2,6,1] => [7,4,2,6,8,5,3,1] => 0111011
[8,5,2,4,6,3,1,7] => [3,6,5,1,8,4,2,7] => [8,5,1,4,6,3,2,7] => 0101101
[6,4,1,8,5,2,3,7] => [4,6,1,5,8,2,3,7] => [8,5,1,6,4,2,3,7] => 0011101
[6,3,4,8,5,1,2,7] => [5,1,8,2,6,4,3,7] => [6,1,2,4,8,5,3,7] => 0001101
[8,5,1,2,7,4,6,3] => [5,1,8,6,7,2,3,4] => [7,1,2,6,3,8,5,4] => 0001111
[1,6,7,5,4,8,2,3] => [1,8,2,5,7,6,4,3] => [1,6,7,5,4,8,2,3] => 0001011
[7,4,6,2,5,3,8,1] => [8,6,5,7,2,4,3,1] => [7,2,5,4,6,3,8,1] => 0001111
[7,2,6,5,8,3,1,4] => [3,8,7,2,6,1,5,4] => [6,2,7,5,8,3,1,4] => 0100111
[1,8,5,4,2,6,3,7] => [1,4,5,8,6,2,3,7] => [1,6,2,8,5,4,3,7] => 0011101
[1,3,2,4,5,6,9,7,8] => [1,3,2,4,5,6,9,7,8] => [1,3,2,4,5,6,9,7,8] => 01000001
[2,7,3,1,8,4,6,5] => [3,2,7,8,6,4,1,5] => [2,6,4,8,3,1,7,5] => 0100111
[8,3,5,4,1,2,6,7] => [4,1,5,8,2,3,6,7] => [8,1,2,5,4,3,6,7] => 0011001
[7,1,3,5,4,2,6,8] => [7,4,1,5,3,2,6,8] => [5,4,1,3,7,2,6,8] => 0011010
[7,5,1,6,2,4,3,8] => [5,7,4,1,6,2,3,8] => [4,1,6,2,7,5,3,8] => 0011110
[1,4,5,7,6,8,2,3] => [1,8,2,4,5,7,6,3] => [1,4,5,7,6,8,2,3] => 0000011
[3,6,1,8,7,4,5,2] => [6,5,3,7,4,1,8,2] => [3,8,7,4,5,1,6,2] => 0001111
[4,1,3,5,7,6,8,2] => [4,8,1,3,5,7,6,2] => [5,7,6,8,1,3,4,2] => 0010011
[5,7,6,1,4,2,3,8] => [6,4,2,1,5,7,3,8] => [4,2,5,7,6,1,3,8] => 0010110
[4,8,7,5,2,1,6,3] => [2,5,7,4,6,3,8,1] => [4,6,3,8,7,5,2,1] => 1001111
[6,5,1,4,7,2,8,3] => [5,6,7,2,8,4,3,1] => [8,2,4,7,3,6,5,1] => 0001111
[10,2,3,4,5,6,7,8,9,11,1] => [11,10,2,3,4,5,6,7,8,9,1] => [10,2,3,4,5,6,7,8,9,11,1] => 0000000011
[4,7,1,3,5,6,8,2] => [7,8,1,4,3,5,6,2] => [4,8,1,3,5,6,7,2] => 0000011
[4,3,5,7,8,2,6,1] => [6,8,4,3,5,2,7,1] => [4,3,5,7,8,2,6,1] => 0010101
[7,1,6,2,5,8,4,3] => [7,6,4,8,2,1,5,3] => [8,4,2,6,1,5,7,3] => 0010111
[8,5,1,3,4,6,2,7] => [5,8,2,3,6,4,1,7] => [6,2,3,4,8,5,1,7] => 0001101
[5,3,7,4,6,2,1,8] => [2,6,5,7,3,4,1,8] => [7,3,5,4,6,2,1,8] => 1001110
[5,7,3,2,1,8,6,4] => [2,3,7,6,5,8,1,4] => [5,8,6,3,2,1,7,4] => 1100111
[3,2,7,5,4,1,8,6] => [4,3,2,5,7,8,1,6] => [3,2,8,5,4,1,7,6] => 0111011
[1,7,3,5,4,2,6,8] => [1,4,5,7,2,3,6,8] => [1,7,2,5,4,3,6,8] => 0011010
[7,3,5,4,1,6,8,2] => [4,5,8,7,1,2,6,3] => [7,1,6,8,2,5,4,3] => 0011011
[7,5,1,6,8,3,2,4] => [5,3,7,1,8,2,6,4] => [8,3,1,6,7,5,2,4] => 0101011
[7,1,5,3,2,4,8,6] => [7,3,5,2,1,8,4,6] => [5,3,2,8,1,4,7,6] => 0101011
[1,3,6,2,5,4,7,8] => [1,6,3,5,2,4,7,8] => [1,3,5,2,6,4,7,8] => 0001100
[8,6,2,3,7,4,5,1] => [5,6,2,8,3,7,4,1] => [7,2,3,8,6,4,5,1] => 0001111
[6,7,1,5,3,2,8,4] => [7,3,5,8,1,6,2,4] => [6,8,3,1,5,2,7,4] => 0101011
[4,8,6,1,5,2,3,7] => [6,5,2,4,1,8,3,7] => [4,5,2,8,6,1,3,7] => 0001101
[3,1,4,8,5,7,6,2] => [3,6,1,4,7,8,2,5] => [4,8,1,3,2,7,6,5] => 0100111
[7,4,1,8,2,6,5,3] => [4,7,8,5,6,3,2,1] => [6,5,3,8,2,7,4,1] => 0011111
[7,1,8,3,5,2,6,4] => [7,5,8,6,3,2,1,4] => [6,3,8,2,5,1,7,4] => 0001111
[3,6,2,5,4,8,7,1] => [7,6,3,5,2,4,8,1] => [3,5,2,6,4,8,7,1] => 0001111
[8,2,1,3,7,4,5,6] => [2,8,1,7,4,5,3,6] => [7,4,5,8,2,1,3,6] => 1000011
[2,7,3,8,1,4,6,5] => [8,2,7,1,6,4,3,5] => [2,6,1,4,7,3,8,5] => 0000111
[5,7,3,6,2,1,8,4] => [2,6,7,8,5,3,1,4] => [5,8,3,7,2,1,6,4] => 1000111
[3,6,5,2,4,8,1,7] => [8,5,3,2,6,4,1,7] => [3,6,5,2,4,8,1,7] => 0001101
[8,3,7,6,5,4,2,1,9] => [2,4,5,6,7,8,1,3,9] => [8,2,1,7,6,5,4,3,9] => 10111110
[7,5,8,2,3,6,1,4] => [6,8,2,1,7,3,5,4] => [7,2,8,5,6,1,3,4] => 0000111
[6,8,2,1,5,4,3,7] => [2,8,4,5,1,6,3,7] => [5,4,2,1,6,8,3,7] => 1011001
[1,3,7,2,6,5,4,8] => [1,7,3,5,6,2,4,8] => [1,3,6,5,2,7,4,8] => 0001110
[7,5,6,3,2,8,1,4] => [8,3,6,1,7,5,2,4] => [7,5,6,3,1,8,2,4] => 0100111
[7,5,1,4,6,3,2,8] => [5,3,7,2,6,4,1,8] => [6,3,2,4,7,5,1,8] => 0101110
[7,5,1,4,6,3,8,2] => [5,7,8,2,6,4,1,3] => [6,2,4,8,1,7,5,3] => 0001111
[7,5,4,1,2,6,3,8] => [4,1,5,7,6,2,3,8] => [6,1,2,7,5,4,3,8] => 0011110
[6,3,2,1,5,8,4,7] => [2,3,6,8,1,5,4,7] => [8,3,2,1,5,6,4,7] => 1100101
[4,3,5,6,2,8,1,7] => [8,6,4,3,5,2,1,7] => [4,3,5,6,2,8,1,7] => 0010101
[7,4,1,2,5,6,8,3] => [4,1,7,8,3,5,6,2] => [8,3,5,6,7,4,1,2] => 0010011
[6,5,8,3,7,1,4,2] => [7,4,8,1,6,5,3,2] => [6,5,8,1,4,3,7,2] => 0010111
[5,6,7,1,2,4,3,8] => [7,1,4,2,5,6,3,8] => [4,1,2,5,6,7,3,8] => 0010010
[4,7,5,8,6,2,3,1] => [3,6,2,4,8,7,1,5] => [4,7,2,3,1,8,6,5] => 0100111
[2,7,5,6,1,8,3,4] => [6,2,8,3,7,5,1,4] => [2,7,5,8,3,6,1,4] => 0000111
[4,2,5,6,3,7,1,8] => [7,4,6,2,5,3,1,8] => [5,6,2,4,3,7,1,8] => 0010110
[2,6,1,8,7,3,5,4] => [6,2,7,5,3,1,8,4] => [2,5,3,8,7,1,6,4] => 0001111
[1,8,4,7,2,5,6,3] => [1,7,6,8,2,5,4,3] => [1,8,2,5,6,4,7,3] => 0000111
[2,6,8,3,5,7,4,1] => [4,2,7,8,1,6,5,3] => [2,6,8,1,5,7,4,3] => 0010011
[7,3,4,8,5,1,2,6] => [5,1,8,2,7,3,4,6] => [7,1,2,8,5,3,4,6] => 0001011
[7,4,8,1,3,5,2,6] => [8,5,1,7,3,2,4,6] => [7,1,3,5,2,8,4,6] => 0001011
[8,3,6,4,1,2,7,5] => [4,1,6,8,7,2,3,5] => [7,1,2,8,4,3,6,5] => 0010111
[8,2,5,4,6,1,7,3] => [6,8,7,5,2,4,1,3] => [5,2,7,4,8,1,6,3] => 0001111
[8,2,5,6,1,7,3,4] => [6,8,7,3,2,5,1,4] => [7,3,5,8,2,6,1,4] => 0000111
[6,8,4,1,7,3,5,2] => [4,8,5,7,1,6,2,3] => [6,7,1,5,2,8,4,3] => 0011011
[7,2,5,1,8,4,6,3] => [5,7,6,8,2,4,1,3] => [8,2,6,4,7,1,5,3] => 0001111
[2,8,5,3,6,4,1,7] => [4,2,6,5,8,1,3,7] => [2,8,5,1,6,4,3,7] => 0011101
[8,4,5,1,6,3,7,2] => [5,7,6,8,4,1,3,2] => [8,4,6,1,7,3,5,2] => 0001111
[8,6,5,3,7,1,4,2] => [7,4,5,1,6,8,3,2] => [8,6,5,1,4,3,7,2] => 0011111
[6,1,8,4,2,3,7,5] => [6,4,2,8,7,1,3,5] => [7,4,2,8,1,3,6,5] => 0010111
[1,7,4,2,3,8,6,5] => [1,4,2,7,6,8,3,5] => [1,8,6,4,2,3,7,5] => 0010111
[2,8,4,3,7,1,6,5] => [7,2,4,8,6,1,3,5] => [2,6,4,1,8,3,7,5] => 0010111
[3,4,2,6,8,1,7,5] => [8,4,3,2,7,6,1,5] => [3,4,2,6,7,1,8,5] => 0010011
[1,7,5,3,2,6,8,4] => [1,3,5,7,8,4,6,2] => [1,8,4,6,7,5,3,2] => 0101011
[7,5,1,6,2,3,4,8] => [5,7,1,3,6,2,4,8] => [6,1,3,7,5,2,4,8] => 0001110
[1,2,6,7,3,5,4,8] => [1,2,7,5,3,6,4,8] => [1,2,5,3,6,7,4,8] => 0001010
[4,2,5,6,3,1,7,8] => [3,6,4,1,5,2,7,8] => [4,1,5,6,3,2,7,8] => 0110100
[8,1,2,4,6,3,5,7] => [8,1,6,2,3,4,5,7] => [6,1,2,8,3,4,5,7] => 0000101
[5,4,6,7,8,9,3,2,1] => [2,3,9,5,4,6,7,8,1] => [5,4,6,7,8,9,3,2,1] => 11010001
[5,6,7,8,10,9,4,3,2,1] => [2,3,4,9,5,6,7,8,10,1] => [5,6,7,8,10,9,4,3,2,1] => 111000011
[6,5,7,8,9,4,3,2,1] => [2,3,4,9,6,5,7,8,1] => [6,5,7,8,9,4,3,2,1] => 11101001
[6,3,5,7,4,8,1,2] => [8,1,6,7,3,5,4,2] => [7,3,5,6,4,8,1,2] => 0000111
[5,6,3,8,1,7,4,2] => [8,4,7,6,5,2,1,3] => [5,6,2,7,4,1,8,3] => 0010111
[5,8,3,7,1,2,6,4] => [7,1,8,6,5,2,3,4] => [5,6,1,2,8,3,7,4] => 0000111
[8,5,2,1,7,3,6,4] => [2,5,8,7,6,4,3,1] => [6,4,7,3,8,5,2,1] => 1001111
[3,5,4,1,7,2,8,6] => [4,5,3,7,2,8,1,6] => [3,8,2,5,4,1,7,6] => 0011011
[1,3,8,6,7,4,5,2] => [1,5,3,7,4,8,6,2] => [1,3,8,6,7,4,5,2] => 0001011
[2,6,5,3,7,1,8,4] => [7,2,5,6,8,4,1,3] => [2,8,4,6,5,1,7,3] => 0001111
[8,2,5,4,1,7,3,6] => [4,5,8,7,3,1,2,6] => [7,3,8,1,5,4,2,6] => 0011011
[8,1,7,6,4,2,3,5] => [8,4,2,6,3,7,1,5] => [7,6,4,2,3,8,1,5] => 0010111
[6,1,7,2,5,8,4,3] => [6,7,4,8,2,1,5,3] => [8,4,2,7,1,5,6,3] => 0010111
[4,1,6,2,5,8,7,3] => [4,6,7,1,2,5,8,3] => [8,7,1,5,6,2,4,3] => 0010111
[8,4,6,1,5,2,7,3] => [6,5,7,8,1,4,2,3] => [8,1,7,4,5,2,6,3] => 0001111
[2,4,1,5,6,8,7,3] => [4,2,7,1,5,6,8,3] => [2,5,6,8,7,1,4,3] => 0010011
[5,6,4,7,3,8,1,9,2] => [8,9,7,6,5,4,3,1,2] => [5,6,4,7,3,9,1,8,2] => 00001111
[10,1,9,2,3,4,5,6,7,8] => [10,9,2,3,4,5,6,7,1,8] => [9,2,3,4,5,6,7,10,1,8] => 000000011
[6,5,7,4,8,3,9,1,10,2] => [9,10,8,7,6,5,4,3,1,2] => [6,5,7,4,8,3,10,1,9,2] => 000011111
[4,8,7,3,2,5,6,1] => [6,3,7,4,2,5,8,1] => [4,8,7,3,2,5,6,1] => 0100111
[3,7,4,2,6,8,5,1] => [5,4,3,8,7,1,6,2] => [3,7,4,1,6,8,5,2] => 0011011
[6,4,8,7,3,2,5,1] => [5,3,7,6,2,4,8,1] => [6,3,2,8,7,4,5,1] => 0101111
[5,6,2,8,7,4,3,1] => [3,4,7,6,5,2,8,1] => [5,6,2,8,7,4,3,1] => 0110111
[3,7,5,6,4,2,8,1] => [8,4,3,6,7,5,2,1] => [3,7,5,6,4,2,8,1] => 0010111
[5,2,3,8,6,1,4,7] => [6,5,2,1,3,8,4,7] => [5,2,8,6,1,3,4,7] => 0001101
[1,4,3,8,5,6,2,7] => [1,6,4,3,8,5,2,7] => [1,4,3,8,5,6,2,7] => 0010101
[7,8,2,6,4,3,5,1] => [5,8,4,6,3,2,7,1] => [6,4,3,7,8,2,5,1] => 0011101
[4,5,8,7,2,3,6,1] => [6,7,2,4,5,3,8,1] => [4,5,8,7,2,3,6,1] => 0000111
[8,3,6,4,7,2,1,5] => [2,7,8,6,1,3,4,5] => [6,2,1,8,3,7,4,5] => 1000111
[7,2,5,1,6,8,4,3] => [5,7,4,8,2,1,6,3] => [8,4,2,6,7,1,5,3] => 0011011
[5,1,8,7,2,4,3,6] => [5,7,4,2,1,3,8,6] => [4,2,8,7,1,5,3,6] => 0011011
[5,8,1,3,6,7,4,2] => [8,4,1,7,5,3,6,2] => [5,7,4,1,3,6,8,2] => 0010011
[3,6,8,1,5,2,7,4] => [8,5,3,7,1,6,2,4] => [3,6,7,1,5,2,8,4] => 0001011
[7,3,6,8,1,5,2,4] => [8,5,7,2,1,3,6,4] => [7,2,5,1,6,8,3,4] => 0001011
[5,1,3,6,4,2,7,8] => [5,4,1,6,3,2,7,8] => [6,4,1,3,5,2,7,8] => 0011100
[6,2,8,5,7,4,1,3] => [4,7,2,6,8,1,5,3] => [8,2,6,5,7,4,1,3] => 0010111
[7,8,5,1,2,6,3,4] => [5,1,8,2,6,3,7,4] => [6,1,2,7,8,5,3,4] => 0001101
[6,4,5,1,8,7,3,2] => [5,3,7,6,4,1,8,2] => [6,4,8,7,3,1,5,2] => 0101111
[7,2,8,4,6,5,3,1] => [3,5,6,7,8,2,4,1] => [8,2,7,4,6,5,3,1] => 0101111
[3,1,8,4,5,7,2,6] => [3,7,1,8,4,2,5,6] => [8,4,7,1,3,2,5,6] => 0100011
[5,4,8,3,7,6,2,1] => [2,6,7,5,4,8,1,3] => [5,4,8,2,1,7,6,3] => 1001111
[4,5,2,8,1,3,6,7] => [8,5,1,4,2,3,6,7] => [4,5,1,8,2,3,6,7] => 0001001
[8,2,5,1,6,3,4,7] => [5,8,6,3,2,1,4,7] => [6,3,8,2,5,1,4,7] => 0001101
[6,3,7,8,1,4,2,5] => [8,4,6,1,2,3,7,5] => [6,1,4,2,7,8,3,5] => 0010101
[1,2,3,4,8,6,5,7,9] => [1,2,3,4,6,8,5,7,9] => [1,2,3,4,8,6,5,7,9] => 00001010
[8,2,6,5,1,7,4,3] => [5,6,4,8,7,3,2,1] => [7,4,3,8,2,6,5,1] => 0011111
[7,1,8,4,3,2,6,5] => [7,3,4,8,6,2,1,5] => [6,4,3,2,8,1,7,5] => 0110111
[6,5,3,7,2,8,1,4] => [8,7,5,1,6,3,2,4] => [6,5,1,7,3,8,2,4] => 0001111
[8,3,5,7,4,6,2,1] => [2,6,8,7,3,4,5,1] => [7,3,8,4,5,6,2,1] => 1000111
[1,3,8,2,6,7,5,4] => [1,8,3,5,7,2,6,4] => [1,3,7,5,2,6,8,4] => 0001011
[3,1,7,2,6,8,5,4] => [3,7,1,5,8,2,6,4] => [8,5,1,3,2,6,7,4] => 0101011
[5,4,1,8,3,7,6,2] => [4,5,6,7,2,8,3,1] => [8,2,7,6,3,5,4,1] => 0011111
[2,8,3,4,5,7,1,6] => [7,2,8,3,4,1,5,6] => [2,8,3,4,7,1,5,6] => 0000011
[7,2,5,6,4,8,3,1] => [3,8,7,6,1,5,4,2] => [6,1,5,7,4,8,3,2] => 0100111
[7,8,4,6,5,1,2,3] => [5,1,2,6,8,3,7,4] => [7,8,1,2,3,6,5,4] => 0001101
[9,7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,9,3,1] => [9,7,6,5,4,3,8,2,1] => 10111111
[10,8,7,6,5,4,3,9,2,1] => [2,9,4,5,6,7,8,10,3,1] => [10,8,7,6,5,4,3,9,2,1] => 101111111
[1,6,3,4,2,5,8,7] => [1,4,6,3,2,5,8,7] => [1,6,3,4,2,5,8,7] => 0010101
[1,5,7,6,2,3,8,4] => [1,6,2,7,5,8,4,3] => [1,5,8,4,7,6,2,3] => 0000111
[6,1,5,4,7,8,2,3] => [6,8,2,5,1,4,7,3] => [5,2,7,8,4,6,1,3] => 0001101
[2,6,7,5,3,4,1,8] => [4,2,5,3,7,6,1,8] => [2,6,7,5,3,4,1,8] => 0011010
[7,2,4,8,3,5,1,6] => [5,7,8,2,3,1,4,6] => [8,2,7,3,5,1,4,6] => 0001011
[5,8,6,4,3,1,7,2] => [3,4,6,8,5,7,2,1] => [5,7,2,8,6,4,3,1] => 0110111
[4,1,7,5,3,8,2,6] => [4,8,5,1,7,2,3,6] => [7,5,1,8,2,4,3,6] => 0011011
[4,6,5,1,8,7,3,2] => [5,3,6,4,7,2,8,1] => [4,8,7,3,2,6,5,1] => 0101111
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
- the multiset of descent views in π is the multiset of invisible inversion bottoms in χ(π),
- the set of left-to-right maxima of π is the set of maximal elements in the cycles of χ(π),
- the set of global ascent of π is the set of global ascent of χ(π),
- the set of maximal elements in the decreasing runs of π is the set of weak deficiency positions of χ(π), and
- the set of minimal elements in the decreasing runs of π is the set of weak deficiency values of χ(π).
Map
Clarke-Steingrimsson-Zeng inverse
Description
The inverse of the Clarke-Steingrimsson-Zeng map, sending excedances to descents.
This is the inverse of the map Φ in [1, sec.3].
This is the inverse of the map Φ in [1, sec.3].
Map
descent tops
Description
The descent tops of a permutation as a binary word.
Since 1 is never a descent top, it is omitted and the first letter of the word corresponds to the element 2.
Since 1 is never a descent top, it is omitted and the first letter of the word corresponds to the element 2.
searching the database
Sorry, this map was not found in the database.