Identifier
Mp00059: Permutations Robinson-Schensted insertion tableauStandard tableaux
Mp00081: Standard tableaux reading word permutationPermutations
Mp00109: Permutations descent wordBinary words
Images
[1] => [[1]] => [1] =>
[1,2] => [[1,2]] => [1,2] => 0
[2,1] => [[1],[2]] => [2,1] => 1
[1,2,3] => [[1,2,3]] => [1,2,3] => 00
[1,3,2] => [[1,2],[3]] => [3,1,2] => 10
[2,1,3] => [[1,3],[2]] => [2,1,3] => 10
[2,3,1] => [[1,3],[2]] => [2,1,3] => 10
[3,1,2] => [[1,2],[3]] => [3,1,2] => 10
[3,2,1] => [[1],[2],[3]] => [3,2,1] => 11
[1,2,3,4] => [[1,2,3,4]] => [1,2,3,4] => 000
[1,2,4,3] => [[1,2,3],[4]] => [4,1,2,3] => 100
[1,3,2,4] => [[1,2,4],[3]] => [3,1,2,4] => 100
[1,3,4,2] => [[1,2,4],[3]] => [3,1,2,4] => 100
[1,4,2,3] => [[1,2,3],[4]] => [4,1,2,3] => 100
[1,4,3,2] => [[1,2],[3],[4]] => [4,3,1,2] => 110
[2,1,3,4] => [[1,3,4],[2]] => [2,1,3,4] => 100
[2,1,4,3] => [[1,3],[2,4]] => [2,4,1,3] => 010
[2,3,1,4] => [[1,3,4],[2]] => [2,1,3,4] => 100
[2,3,4,1] => [[1,3,4],[2]] => [2,1,3,4] => 100
[2,4,1,3] => [[1,3],[2,4]] => [2,4,1,3] => 010
[2,4,3,1] => [[1,3],[2],[4]] => [4,2,1,3] => 110
[3,1,2,4] => [[1,2,4],[3]] => [3,1,2,4] => 100
[3,1,4,2] => [[1,2],[3,4]] => [3,4,1,2] => 010
[3,2,1,4] => [[1,4],[2],[3]] => [3,2,1,4] => 110
[3,2,4,1] => [[1,4],[2],[3]] => [3,2,1,4] => 110
[3,4,1,2] => [[1,2],[3,4]] => [3,4,1,2] => 010
[3,4,2,1] => [[1,4],[2],[3]] => [3,2,1,4] => 110
[4,1,2,3] => [[1,2,3],[4]] => [4,1,2,3] => 100
[4,1,3,2] => [[1,2],[3],[4]] => [4,3,1,2] => 110
[4,2,1,3] => [[1,3],[2],[4]] => [4,2,1,3] => 110
[4,2,3,1] => [[1,3],[2],[4]] => [4,2,1,3] => 110
[4,3,1,2] => [[1,2],[3],[4]] => [4,3,1,2] => 110
[4,3,2,1] => [[1],[2],[3],[4]] => [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] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 1000
[1,2,4,3,5] => [[1,2,3,5],[4]] => [4,1,2,3,5] => 1000
[1,2,4,5,3] => [[1,2,3,5],[4]] => [4,1,2,3,5] => 1000
[1,2,5,3,4] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 1000
[1,2,5,4,3] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 1100
[1,3,2,4,5] => [[1,2,4,5],[3]] => [3,1,2,4,5] => 1000
[1,3,2,5,4] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 0100
[1,3,4,2,5] => [[1,2,4,5],[3]] => [3,1,2,4,5] => 1000
[1,3,4,5,2] => [[1,2,4,5],[3]] => [3,1,2,4,5] => 1000
[1,3,5,2,4] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 0100
[1,3,5,4,2] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 1100
[1,4,2,3,5] => [[1,2,3,5],[4]] => [4,1,2,3,5] => 1000
[1,4,2,5,3] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 0100
[1,4,3,2,5] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 1100
[1,4,3,5,2] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 1100
[1,4,5,2,3] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 0100
[1,4,5,3,2] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 1100
[1,5,2,3,4] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 1000
[1,5,2,4,3] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 1100
[1,5,3,2,4] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 1100
[1,5,3,4,2] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 1100
[1,5,4,2,3] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 1100
[1,5,4,3,2] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1110
[2,1,3,4,5] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1000
[2,1,3,5,4] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 0100
[2,1,4,3,5] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 0100
[2,1,4,5,3] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 0100
[2,1,5,3,4] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 0100
[2,1,5,4,3] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 1010
[2,3,1,4,5] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1000
[2,3,1,5,4] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 0100
[2,3,4,1,5] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1000
[2,3,4,5,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1000
[2,3,5,1,4] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 0100
[2,3,5,4,1] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 1100
[2,4,1,3,5] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 0100
[2,4,1,5,3] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 0100
[2,4,3,1,5] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 1100
[2,4,3,5,1] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 1100
[2,4,5,1,3] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 0100
[2,4,5,3,1] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 1100
[2,5,1,3,4] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 0100
[2,5,1,4,3] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 1010
[2,5,3,1,4] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 1100
[2,5,3,4,1] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 1100
[2,5,4,1,3] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 1010
[2,5,4,3,1] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1110
[3,1,2,4,5] => [[1,2,4,5],[3]] => [3,1,2,4,5] => 1000
[3,1,2,5,4] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 0100
[3,1,4,2,5] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 0100
[3,1,4,5,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 0100
[3,1,5,2,4] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 0100
[3,1,5,4,2] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 1010
[3,2,1,4,5] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 1100
[3,2,1,5,4] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1010
[3,2,4,1,5] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 1100
[3,2,4,5,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 1100
[3,2,5,1,4] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1010
[3,2,5,4,1] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1010
[3,4,1,2,5] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 0100
[3,4,1,5,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 0100
[3,4,2,1,5] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 1100
[3,4,2,5,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 1100
[3,4,5,1,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 0100
[3,4,5,2,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 1100
[3,5,1,2,4] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 0100
[3,5,1,4,2] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 1010
>>> Load all 25487 entries. <<<
[3,5,2,1,4] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1010
[3,5,2,4,1] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1010
[3,5,4,1,2] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 1010
[3,5,4,2,1] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1110
[4,1,2,3,5] => [[1,2,3,5],[4]] => [4,1,2,3,5] => 1000
[4,1,2,5,3] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 0100
[4,1,3,2,5] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 1100
[4,1,3,5,2] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 1100
[4,1,5,2,3] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 0100
[4,1,5,3,2] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 1010
[4,2,1,3,5] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 1100
[4,2,1,5,3] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 1010
[4,2,3,1,5] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 1100
[4,2,3,5,1] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 1100
[4,2,5,1,3] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 1010
[4,2,5,3,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 1010
[4,3,1,2,5] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 1100
[4,3,1,5,2] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 1010
[4,3,2,1,5] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 1110
[4,3,2,5,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 1110
[4,3,5,1,2] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 1010
[4,3,5,2,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 1110
[4,5,1,2,3] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 0100
[4,5,1,3,2] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 1010
[4,5,2,1,3] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 1010
[4,5,2,3,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 1010
[4,5,3,1,2] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 1010
[4,5,3,2,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 1110
[5,1,2,3,4] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 1000
[5,1,2,4,3] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 1100
[5,1,3,2,4] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 1100
[5,1,3,4,2] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 1100
[5,1,4,2,3] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 1100
[5,1,4,3,2] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1110
[5,2,1,3,4] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 1100
[5,2,1,4,3] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 1010
[5,2,3,1,4] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 1100
[5,2,3,4,1] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 1100
[5,2,4,1,3] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 1010
[5,2,4,3,1] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1110
[5,3,1,2,4] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 1100
[5,3,1,4,2] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 1010
[5,3,2,1,4] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1110
[5,3,2,4,1] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1110
[5,3,4,1,2] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 1010
[5,3,4,2,1] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1110
[5,4,1,2,3] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 1100
[5,4,1,3,2] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1110
[5,4,2,1,3] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1110
[5,4,2,3,1] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1110
[5,4,3,1,2] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1110
[5,4,3,2,1] => [[1],[2],[3],[4],[5]] => [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] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10000
[1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 10000
[1,2,3,5,6,4] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 10000
[1,2,3,6,4,5] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10000
[1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 10000
[1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[1,2,4,5,3,6] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 10000
[1,2,4,5,6,3] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 10000
[1,2,4,6,3,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[1,2,4,6,5,3] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[1,2,5,3,4,6] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 10000
[1,2,5,3,6,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[1,2,5,4,6,3] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[1,2,5,6,3,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[1,2,5,6,4,3] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[1,2,6,3,4,5] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10000
[1,2,6,3,5,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[1,2,6,4,3,5] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[1,2,6,4,5,3] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[1,2,6,5,3,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 10000
[1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[1,3,2,5,6,4] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[1,3,2,6,4,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[1,3,4,2,5,6] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 10000
[1,3,4,2,6,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[1,3,4,5,2,6] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 10000
[1,3,4,5,6,2] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 10000
[1,3,4,6,2,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[1,3,4,6,5,2] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[1,3,5,2,4,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[1,3,5,2,6,4] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[1,3,5,4,2,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[1,3,5,4,6,2] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[1,3,5,6,2,4] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[1,3,5,6,4,2] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[1,3,6,2,4,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[1,3,6,2,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[1,3,6,4,2,5] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[1,3,6,4,5,2] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[1,3,6,5,2,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[1,3,6,5,4,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[1,4,2,3,5,6] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 10000
[1,4,2,3,6,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[1,4,2,5,3,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[1,4,2,5,6,3] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[1,4,2,6,3,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[1,4,2,6,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[1,4,3,5,2,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[1,4,3,5,6,2] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[1,4,3,6,2,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[1,4,3,6,5,2] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[1,4,5,2,3,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[1,4,5,2,6,3] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[1,4,5,3,2,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[1,4,5,3,6,2] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[1,4,5,6,2,3] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[1,4,5,6,3,2] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[1,4,6,2,3,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[1,4,6,2,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[1,4,6,3,2,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[1,4,6,3,5,2] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[1,4,6,5,2,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[1,4,6,5,3,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[1,5,2,3,4,6] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 10000
[1,5,2,3,6,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[1,5,2,4,3,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[1,5,2,4,6,3] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[1,5,2,6,3,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[1,5,2,6,4,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[1,5,3,2,4,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[1,5,3,2,6,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[1,5,3,4,2,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[1,5,3,4,6,2] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[1,5,3,6,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[1,5,3,6,4,2] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[1,5,4,2,3,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[1,5,4,2,6,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[1,5,4,3,6,2] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[1,5,4,6,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[1,5,4,6,3,2] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[1,5,6,2,3,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[1,5,6,2,4,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[1,5,6,3,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[1,5,6,3,4,2] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[1,5,6,4,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[1,5,6,4,3,2] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[1,6,2,3,4,5] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10000
[1,6,2,3,5,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[1,6,2,4,3,5] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[1,6,2,4,5,3] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[1,6,2,5,3,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[1,6,2,5,4,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[1,6,3,2,4,5] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[1,6,3,2,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[1,6,3,4,2,5] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[1,6,3,4,5,2] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[1,6,3,5,2,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[1,6,3,5,4,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[1,6,4,2,3,5] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[1,6,4,2,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[1,6,4,3,2,5] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[1,6,4,3,5,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[1,6,4,5,2,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[1,6,4,5,3,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[1,6,5,2,3,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[1,6,5,2,4,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[1,6,5,3,2,4] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[1,6,5,3,4,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[1,6,5,4,2,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 11110
[2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 10000
[2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,1,3,5,6,4] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,1,3,6,4,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 00100
[2,1,4,5,3,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,1,4,5,6,3] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,1,4,6,3,5] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 00100
[2,1,4,6,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,1,5,3,4,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,1,5,3,6,4] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 00100
[2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,1,5,4,6,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,1,5,6,3,4] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 00100
[2,1,5,6,4,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,1,6,3,4,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,1,6,3,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,1,6,4,3,5] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,1,6,4,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,1,6,5,3,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[2,3,1,4,5,6] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 10000
[2,3,1,4,6,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,3,1,5,4,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,3,1,5,6,4] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,3,1,6,4,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,3,1,6,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,3,4,1,5,6] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 10000
[2,3,4,1,6,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,3,4,5,1,6] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 10000
[2,3,4,5,6,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 10000
[2,3,4,6,1,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,3,4,6,5,1] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[2,3,5,1,4,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,3,5,1,6,4] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,3,5,4,1,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[2,3,5,4,6,1] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[2,3,5,6,1,4] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,3,5,6,4,1] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[2,3,6,1,4,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,3,6,1,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,3,6,4,1,5] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[2,3,6,4,5,1] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[2,3,6,5,1,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,3,6,5,4,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[2,4,1,3,5,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,4,1,3,6,5] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 00100
[2,4,1,5,3,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,4,1,5,6,3] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,4,1,6,3,5] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 00100
[2,4,1,6,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,4,3,1,5,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[2,4,3,1,6,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[2,4,3,5,1,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[2,4,3,5,6,1] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[2,4,3,6,1,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[2,4,3,6,5,1] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[2,4,5,1,3,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,4,5,1,6,3] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,4,5,3,1,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[2,4,5,3,6,1] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[2,4,5,6,1,3] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 01000
[2,4,5,6,3,1] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[2,4,6,1,3,5] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 00100
[2,4,6,1,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,4,6,3,1,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[2,4,6,3,5,1] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[2,4,6,5,1,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,4,6,5,3,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[2,5,1,3,4,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 01000
[2,5,1,3,6,4] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 00100
[2,5,1,4,3,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,5,1,4,6,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,5,1,6,3,4] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 00100
[2,5,1,6,4,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,5,3,1,4,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[2,5,3,1,6,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[2,5,3,4,1,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[2,5,3,4,6,1] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[2,5,3,6,1,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[2,5,3,6,4,1] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[2,5,4,1,3,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,5,4,1,6,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,5,4,3,1,6] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[2,5,4,3,6,1] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[2,5,4,6,1,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,5,4,6,3,1] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[2,5,6,1,3,4] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 00100
[2,5,6,1,4,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,5,6,3,1,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[2,5,6,3,4,1] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[2,5,6,4,1,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[2,5,6,4,3,1] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[2,6,1,3,4,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 01000
[2,6,1,3,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,6,1,4,3,5] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,6,1,4,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,6,1,5,3,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,6,1,5,4,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[2,6,3,1,4,5] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[2,6,3,1,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,6,3,4,1,5] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[2,6,3,4,5,1] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[2,6,3,5,1,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,6,3,5,4,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[2,6,4,1,3,5] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,6,4,1,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,6,4,3,1,5] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[2,6,4,3,5,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[2,6,4,5,1,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[2,6,4,5,3,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[2,6,5,1,3,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[2,6,5,1,4,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[2,6,5,3,1,4] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[2,6,5,3,4,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[2,6,5,4,1,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 11110
[3,1,2,4,5,6] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 10000
[3,1,2,4,6,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[3,1,2,5,4,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[3,1,2,5,6,4] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[3,1,2,6,4,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[3,1,2,6,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[3,1,4,2,5,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,1,4,2,6,5] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 00100
[3,1,4,5,2,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,1,4,5,6,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,1,4,6,2,5] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 00100
[3,1,4,6,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,1,5,2,4,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[3,1,5,2,6,4] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 00100
[3,1,5,4,2,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,1,5,4,6,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,1,5,6,2,4] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 00100
[3,1,5,6,4,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,1,6,2,4,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[3,1,6,2,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[3,1,6,4,2,5] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,1,6,4,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,1,6,5,2,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[3,1,6,5,4,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,2,1,5,6,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,2,1,6,4,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 01010
[3,2,4,1,5,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,2,4,1,6,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,2,4,5,1,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,2,4,5,6,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,2,4,6,1,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,2,4,6,5,1] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,2,5,1,4,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,2,5,1,6,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,2,5,4,1,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,2,5,4,6,1] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,2,5,6,1,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,2,5,6,4,1] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,2,6,1,4,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,2,6,1,5,4] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 01010
[3,2,6,4,1,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,2,6,4,5,1] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,2,6,5,1,4] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 01010
[3,2,6,5,4,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,4,1,2,6,5] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 00100
[3,4,1,5,2,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,4,1,5,6,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,4,1,6,2,5] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 00100
[3,4,1,6,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,4,2,1,5,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,4,2,1,6,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,4,2,5,1,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,4,2,5,6,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,4,2,6,1,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,4,2,6,5,1] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,4,5,1,2,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,4,5,1,6,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,4,5,2,1,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,4,5,2,6,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,4,5,6,1,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 01000
[3,4,5,6,2,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 11000
[3,4,6,1,2,5] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 00100
[3,4,6,1,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,4,6,2,1,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,4,6,2,5,1] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,4,6,5,1,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,4,6,5,2,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[3,5,1,2,4,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 01000
[3,5,1,2,6,4] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 00100
[3,5,1,4,2,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,5,1,4,6,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,5,1,6,2,4] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 00100
[3,5,1,6,4,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,5,2,1,4,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,5,2,1,6,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,5,2,4,1,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,5,2,4,6,1] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,5,2,6,1,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,5,2,6,4,1] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,5,4,1,2,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,5,4,1,6,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,5,4,2,1,6] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[3,5,4,2,6,1] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[3,5,4,6,1,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,5,4,6,2,1] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[3,5,6,1,2,4] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 00100
[3,5,6,1,4,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,5,6,2,1,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,5,6,2,4,1] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 10100
[3,5,6,4,1,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[3,5,6,4,2,1] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[3,6,1,2,4,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 01000
[3,6,1,2,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[3,6,1,4,2,5] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,6,1,4,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,6,1,5,2,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[3,6,1,5,4,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[3,6,2,1,4,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,6,2,1,5,4] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 01010
[3,6,2,4,1,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,6,2,4,5,1] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 10100
[3,6,2,5,1,4] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 01010
[3,6,2,5,4,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[3,6,4,1,2,5] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,6,4,1,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,6,4,2,1,5] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[3,6,4,2,5,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[3,6,4,5,1,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[3,6,4,5,2,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[3,6,5,1,2,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[3,6,5,1,4,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[3,6,5,2,1,4] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[3,6,5,2,4,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[3,6,5,4,1,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 11110
[4,1,2,3,5,6] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 10000
[4,1,2,3,6,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[4,1,2,5,3,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[4,1,2,5,6,3] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[4,1,2,6,3,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[4,1,2,6,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[4,1,3,2,5,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[4,1,3,2,6,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,1,3,5,2,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[4,1,3,5,6,2] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[4,1,3,6,2,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,1,3,6,5,2] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,1,5,2,3,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[4,1,5,2,6,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 00100
[4,1,5,3,2,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,1,5,3,6,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,1,5,6,2,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 00100
[4,1,5,6,3,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,1,6,2,3,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[4,1,6,2,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[4,1,6,3,2,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,1,6,3,5,2] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,1,6,5,2,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[4,1,6,5,3,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[4,2,1,3,5,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[4,2,1,3,6,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,2,1,5,3,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,2,1,5,6,3] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,2,1,6,3,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,2,1,6,5,3] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 01010
[4,2,3,1,5,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[4,2,3,1,6,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,2,3,5,1,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[4,2,3,5,6,1] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 11000
[4,2,3,6,1,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,2,3,6,5,1] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,2,5,1,3,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,2,5,1,6,3] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,2,5,3,1,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,2,5,3,6,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,2,5,6,1,3] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,2,5,6,3,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,2,6,1,3,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,2,6,1,5,3] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 01010
[4,2,6,3,1,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,2,6,3,5,1] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,2,6,5,1,3] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 01010
[4,2,6,5,3,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[4,3,1,2,5,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 11000
[4,3,1,2,6,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,3,1,5,2,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,3,1,5,6,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,3,1,6,2,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,3,1,6,5,2] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 01010
[4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,3,2,5,1,6] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,3,2,5,6,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,3,2,6,1,5] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,3,2,6,5,1] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,3,5,1,2,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,3,5,1,6,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,3,5,2,1,6] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,3,5,2,6,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,3,5,6,1,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,3,5,6,2,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,3,6,1,2,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,3,6,1,5,2] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 01010
[4,3,6,2,1,5] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,3,6,2,5,1] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,3,6,5,1,2] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 01010
[4,3,6,5,2,1] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,5,1,2,3,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 01000
[4,5,1,2,6,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 00100
[4,5,1,3,2,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,5,1,3,6,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,5,1,6,2,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 00100
[4,5,1,6,3,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,5,2,1,3,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,5,2,1,6,3] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,5,2,3,1,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,5,2,3,6,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,5,2,6,1,3] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,5,2,6,3,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,5,3,1,2,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,5,3,1,6,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,5,3,2,1,6] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,5,3,2,6,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,5,3,6,1,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,5,3,6,2,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 00100
[4,5,6,1,3,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,5,6,2,1,3] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,5,6,2,3,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 10100
[4,5,6,3,1,2] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 10100
[4,5,6,3,2,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 11100
[4,6,1,2,3,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 01000
[4,6,1,2,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[4,6,1,3,2,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,6,1,3,5,2] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,6,1,5,2,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[4,6,1,5,3,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[4,6,2,1,3,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,6,2,1,5,3] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 01010
[4,6,2,3,1,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,6,2,3,5,1] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 10100
[4,6,2,5,1,3] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 01010
[4,6,2,5,3,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[4,6,3,1,2,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 10100
[4,6,3,1,5,2] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 01010
[4,6,3,2,1,5] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,6,3,2,5,1] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,6,3,5,1,2] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 01010
[4,6,3,5,2,1] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 11010
[4,6,5,1,2,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[4,6,5,1,3,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[4,6,5,2,1,3] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[4,6,5,2,3,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[4,6,5,3,1,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 11110
[5,1,2,3,4,6] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 10000
[5,1,2,3,6,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[5,1,2,4,3,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[5,1,2,4,6,3] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[5,1,2,6,3,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[5,1,2,6,4,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,1,3,2,4,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[5,1,3,2,6,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,1,3,4,2,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[5,1,3,4,6,2] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[5,1,3,6,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,1,3,6,4,2] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,1,4,2,3,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[5,1,4,2,6,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,1,4,3,2,6] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[5,1,4,3,6,2] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[5,1,4,6,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,1,4,6,3,2] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[5,1,6,2,3,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[5,1,6,2,4,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,1,6,3,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,1,6,3,4,2] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,1,6,4,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,1,6,4,3,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,2,1,3,4,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[5,2,1,3,6,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,2,1,4,3,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[5,2,1,4,6,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[5,2,1,6,3,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,2,1,6,4,3] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 01010
[5,2,3,1,4,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[5,2,3,1,6,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,2,3,4,1,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[5,2,3,4,6,1] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 11000
[5,2,3,6,1,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,2,3,6,4,1] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,2,4,1,3,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[5,2,4,1,6,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[5,2,4,3,1,6] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[5,2,4,3,6,1] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[5,2,4,6,1,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 10100
[5,2,4,6,3,1] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[5,2,6,1,3,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,2,6,1,4,3] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 01010
[5,2,6,3,1,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,2,6,3,4,1] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,2,6,4,1,3] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 01010
[5,2,6,4,3,1] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,3,1,2,4,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 11000
[5,3,1,2,6,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,3,1,4,2,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[5,3,1,4,6,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[5,3,1,6,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,3,1,6,4,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 01010
[5,3,2,1,4,6] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[5,3,2,1,6,4] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[5,3,2,4,6,1] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,3,2,6,4,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,3,4,1,2,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[5,3,4,1,6,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[5,3,4,2,1,6] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[5,3,4,2,6,1] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[5,3,4,6,1,2] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 10100
[5,3,4,6,2,1] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 11100
[5,3,6,1,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,3,6,1,4,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 01010
[5,3,6,2,1,4] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,3,6,2,4,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,3,6,4,1,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 01010
[5,3,6,4,2,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,4,1,2,3,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 11000
[5,4,1,2,6,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,4,1,3,2,6] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[5,4,1,3,6,2] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[5,4,1,6,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,4,1,6,3,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,4,2,1,3,6] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[5,4,2,1,6,3] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,4,2,3,1,6] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[5,4,2,3,6,1] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 11100
[5,4,2,6,1,3] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,4,2,6,3,1] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,4,3,1,2,6] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 11100
[5,4,3,1,6,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 11110
[5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 11110
[5,4,3,6,1,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 11110
[5,4,6,1,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,4,6,1,3,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,4,6,2,3,1] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,4,6,3,1,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 11110
[5,6,1,2,3,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 01000
[5,6,1,2,4,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,6,1,3,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,6,1,3,4,2] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,6,1,4,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,6,1,4,3,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,6,2,1,3,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,6,2,1,4,3] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 01010
[5,6,2,3,1,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,6,2,3,4,1] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 10100
[5,6,2,4,1,3] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 01010
[5,6,2,4,3,1] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,6,3,1,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 10100
[5,6,3,1,4,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 01010
[5,6,3,2,1,4] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,6,3,2,4,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,6,3,4,1,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 01010
[5,6,3,4,2,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 11010
[5,6,4,1,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 10100
[5,6,4,1,3,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,6,4,2,1,3] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,6,4,2,3,1] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 11010
[5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 11010
[5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 11110
[6,1,2,3,4,5] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10000
[6,1,2,3,5,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[6,1,2,4,3,5] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[6,1,2,4,5,3] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[6,1,2,5,3,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[6,1,2,5,4,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[6,1,3,2,4,5] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[6,1,3,2,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[6,1,3,4,2,5] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[6,1,3,4,5,2] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[6,1,3,5,2,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[6,1,3,5,4,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[6,1,4,2,3,5] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[6,1,4,2,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[6,1,4,3,2,5] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[6,1,4,3,5,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[6,1,4,5,2,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[6,1,4,5,3,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[6,1,5,2,3,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[6,1,5,2,4,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[6,1,5,3,2,4] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[6,1,5,3,4,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[6,1,5,4,2,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 11110
[6,2,1,3,4,5] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[6,2,1,3,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[6,2,1,4,3,5] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[6,2,1,4,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[6,2,1,5,3,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[6,2,1,5,4,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[6,2,3,1,4,5] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[6,2,3,1,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[6,2,3,4,1,5] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[6,2,3,4,5,1] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 11000
[6,2,3,5,1,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[6,2,3,5,4,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[6,2,4,1,3,5] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[6,2,4,1,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[6,2,4,3,1,5] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[6,2,4,3,5,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[6,2,4,5,1,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 10100
[6,2,4,5,3,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[6,2,5,1,3,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 10100
[6,2,5,1,4,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[6,2,5,3,1,4] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[6,2,5,3,4,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[6,2,5,4,1,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 11110
[6,3,1,2,4,5] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 11000
[6,3,1,2,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[6,3,1,4,2,5] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[6,3,1,4,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[6,3,1,5,2,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[6,3,1,5,4,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[6,3,2,1,4,5] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[6,3,2,1,5,4] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[6,3,2,4,1,5] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[6,3,2,5,1,4] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[6,3,4,1,2,5] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[6,3,4,1,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[6,3,4,2,1,5] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[6,3,4,2,5,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[6,3,4,5,1,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 10100
[6,3,4,5,2,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 11100
[6,3,5,1,2,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 10100
[6,3,5,1,4,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[6,3,5,2,1,4] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[6,3,5,2,4,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 11010
[6,3,5,4,1,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 11110
[6,4,1,2,3,5] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 11000
[6,4,1,2,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[6,4,1,3,2,5] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[6,4,1,3,5,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[6,4,1,5,2,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[6,4,1,5,3,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[6,4,2,1,3,5] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[6,4,2,1,5,3] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[6,4,2,3,1,5] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[6,4,2,3,5,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 11100
[6,4,2,5,1,3] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[6,4,2,5,3,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[6,4,3,1,2,5] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 11100
[6,4,3,1,5,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 11110
[6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 11110
[6,4,3,5,1,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 11110
[6,4,5,1,2,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 10100
[6,4,5,1,3,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[6,4,5,2,1,3] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 11010
[6,4,5,3,1,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 11010
[6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 11110
[6,5,1,2,3,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 11000
[6,5,1,2,4,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[6,5,1,3,2,4] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[6,5,1,3,4,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[6,5,1,4,2,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[6,5,1,4,3,2] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 11110
[6,5,2,1,3,4] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[6,5,2,1,4,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[6,5,2,3,1,4] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[6,5,2,3,4,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 11100
[6,5,2,4,1,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 11010
[6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 11110
[6,5,3,1,2,4] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 11100
[6,5,3,1,4,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 11110
[6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 11110
[6,5,3,4,1,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 11010
[6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 11110
[6,5,4,1,2,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 11100
[6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 11110
[6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 11110
[6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 11110
[6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 11110
[6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => [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] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 100000
[1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 100000
[1,2,3,4,6,7,5] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 100000
[1,2,3,4,7,5,6] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 100000
[1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 100000
[1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,2,3,5,6,4,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 100000
[1,2,3,5,6,7,4] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 100000
[1,2,3,5,7,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,2,3,5,7,6,4] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,2,3,6,4,5,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 100000
[1,2,3,6,4,7,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,2,3,6,5,7,4] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,2,3,6,7,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,2,3,6,7,5,4] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,2,3,7,4,5,6] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 100000
[1,2,3,7,4,6,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,2,3,7,5,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,2,3,7,5,6,4] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,2,3,7,6,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 100000
[1,2,4,3,5,7,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,2,4,3,6,7,5] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,2,4,3,7,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,2,4,5,3,6,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 100000
[1,2,4,5,3,7,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,2,4,5,6,3,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 100000
[1,2,4,5,6,7,3] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 100000
[1,2,4,5,7,3,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,2,4,5,7,6,3] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,2,4,6,3,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,2,4,6,3,7,5] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,2,4,6,5,3,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,2,4,6,5,7,3] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,2,4,6,7,3,5] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,2,4,6,7,5,3] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,2,4,7,3,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,2,4,7,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,2,4,7,5,3,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,2,4,7,5,6,3] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,2,4,7,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,2,4,7,6,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,2,5,3,4,6,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 100000
[1,2,5,3,4,7,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,2,5,3,6,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,2,5,3,6,7,4] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,2,5,3,7,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,2,5,3,7,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,2,5,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,2,5,4,3,7,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,2,5,4,6,3,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,2,5,4,6,7,3] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,2,5,4,7,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,2,5,4,7,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,2,5,6,3,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,2,5,6,3,7,4] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,2,5,6,4,3,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,2,5,6,4,7,3] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,2,5,6,7,3,4] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,2,5,6,7,4,3] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,2,5,7,3,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,2,5,7,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,2,5,7,4,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,2,5,7,4,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,2,5,7,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,2,5,7,6,4,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,2,6,3,4,5,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 100000
[1,2,6,3,4,7,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,2,6,3,5,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,2,6,3,5,7,4] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,2,6,3,7,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,2,6,3,7,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,2,6,4,3,5,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,2,6,4,3,7,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,2,6,4,5,3,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,2,6,4,5,7,3] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,2,6,4,7,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,2,6,4,7,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,2,6,5,3,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,2,6,5,3,7,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,2,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,2,6,5,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,2,6,5,7,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,2,6,5,7,4,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,2,6,7,3,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,2,6,7,3,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,2,6,7,4,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,2,6,7,4,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,2,6,7,5,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,2,6,7,5,4,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,2,7,3,4,5,6] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 100000
[1,2,7,3,4,6,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,2,7,3,5,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,2,7,3,5,6,4] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,2,7,3,6,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,2,7,3,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,2,7,4,3,5,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,2,7,4,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,2,7,4,5,3,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,2,7,4,5,6,3] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,2,7,4,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,2,7,4,6,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,2,7,5,3,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,2,7,5,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,2,7,5,4,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,2,7,5,4,6,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,2,7,5,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,2,7,5,6,4,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,2,7,6,3,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,2,7,6,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,2,7,6,4,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,2,7,6,4,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,2,7,6,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 100000
[1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,2,4,6,7,5] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,2,4,7,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[1,3,2,5,6,4,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,2,5,6,7,4] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,2,5,7,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[1,3,2,5,7,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,2,6,4,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,2,6,4,7,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[1,3,2,6,5,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,2,6,5,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,2,6,7,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[1,3,2,6,7,5,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,2,7,4,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,2,7,4,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,2,7,5,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,2,7,5,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,2,7,6,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,3,4,2,5,6,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 100000
[1,3,4,2,5,7,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,4,2,6,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,4,2,6,7,5] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,4,2,7,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,4,2,7,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,4,5,2,6,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 100000
[1,3,4,5,2,7,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,4,5,6,2,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 100000
[1,3,4,5,6,7,2] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 100000
[1,3,4,5,7,2,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,4,5,7,6,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,3,4,6,2,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,4,6,2,7,5] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,4,6,5,2,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,3,4,6,5,7,2] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,3,4,6,7,2,5] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,4,6,7,5,2] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,3,4,7,2,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,4,7,2,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,4,7,5,2,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,3,4,7,5,6,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,3,4,7,6,2,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,4,7,6,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,3,5,2,4,6,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,5,2,4,7,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[1,3,5,2,6,4,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,5,2,6,7,4] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,5,2,7,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[1,3,5,2,7,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,5,4,2,6,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,3,5,4,2,7,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,3,5,4,6,2,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,3,5,4,6,7,2] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,3,5,4,7,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,3,5,4,7,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,3,5,6,2,4,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,5,6,2,7,4] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,5,6,4,2,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,3,5,6,4,7,2] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,3,5,6,7,2,4] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[1,3,5,6,7,4,2] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,3,5,7,2,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[1,3,5,7,2,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,5,7,4,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,3,5,7,4,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,3,5,7,6,2,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,5,7,6,4,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,3,6,2,4,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[1,3,6,2,4,7,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[1,3,6,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,6,2,5,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,6,2,7,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[1,3,6,2,7,5,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,6,4,2,5,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,3,6,4,2,7,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,3,6,4,5,2,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,3,6,4,5,7,2] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,3,6,4,7,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,3,6,4,7,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,3,6,5,2,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,6,5,2,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,6,5,4,2,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,3,6,5,4,7,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,3,6,5,7,2,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,6,5,7,4,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,3,6,7,2,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[1,3,6,7,2,5,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,6,7,4,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,3,6,7,4,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,3,6,7,5,2,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,3,6,7,5,4,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,3,7,2,4,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[1,3,7,2,4,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,7,2,5,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,7,2,5,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,7,2,6,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,7,2,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,3,7,4,2,5,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,3,7,4,2,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,7,4,5,2,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,3,7,4,5,6,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,3,7,4,6,2,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,7,4,6,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,3,7,5,2,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,7,5,2,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,7,5,4,2,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,3,7,5,4,6,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,3,7,5,6,2,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,3,7,5,6,4,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,3,7,6,2,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,3,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,3,7,6,4,2,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,3,7,6,4,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,3,7,6,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,3,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[1,4,2,3,5,6,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 100000
[1,4,2,3,5,7,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,4,2,3,6,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,4,2,3,6,7,5] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,4,2,3,7,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,4,2,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,4,2,5,3,6,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,2,5,3,7,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[1,4,2,5,6,3,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,2,5,6,7,3] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,2,5,7,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[1,4,2,5,7,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,2,6,3,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,4,2,6,3,7,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[1,4,2,6,5,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,2,6,5,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,2,6,7,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[1,4,2,6,7,5,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,2,7,3,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,4,2,7,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,4,2,7,5,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,2,7,5,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,2,7,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,4,2,7,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,4,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,3,2,5,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,3,2,6,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,3,2,6,7,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,3,2,7,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[1,4,3,5,2,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,3,5,2,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,3,5,6,2,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,3,5,6,7,2] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,3,5,7,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,3,5,7,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,3,6,2,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,3,6,2,7,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,3,6,5,2,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,3,6,5,7,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,3,6,7,2,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,3,6,7,5,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,3,7,2,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,3,7,2,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[1,4,3,7,5,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,3,7,5,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,3,7,6,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[1,4,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,4,5,2,3,6,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,5,2,3,7,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[1,4,5,2,6,3,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,5,2,6,7,3] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,5,2,7,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[1,4,5,2,7,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,5,3,2,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,5,3,2,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,5,3,6,2,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,5,3,6,7,2] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,5,3,7,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,5,3,7,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,5,6,2,3,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,5,6,2,7,3] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,5,6,3,2,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,5,6,3,7,2] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,5,6,7,2,3] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[1,4,5,6,7,3,2] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[1,4,5,7,2,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[1,4,5,7,2,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,5,7,3,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,5,7,3,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,5,7,6,2,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,5,7,6,3,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,4,6,2,3,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[1,4,6,2,3,7,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[1,4,6,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,6,2,5,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,6,2,7,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[1,4,6,2,7,5,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,6,3,2,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,6,3,2,7,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,6,3,5,2,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,6,3,5,7,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,6,3,7,2,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,6,3,7,5,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,6,5,2,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,6,5,2,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,6,5,3,2,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,4,6,5,3,7,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,4,6,5,7,2,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,6,5,7,3,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,4,6,7,2,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[1,4,6,7,2,5,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,6,7,3,2,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,6,7,3,5,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[1,4,6,7,5,2,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,4,6,7,5,3,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,4,7,2,3,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[1,4,7,2,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,4,7,2,5,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,7,2,5,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,7,2,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,4,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,4,7,3,2,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,7,3,2,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[1,4,7,3,5,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,7,3,5,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[1,4,7,3,6,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[1,4,7,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,4,7,5,2,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,7,5,2,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,7,5,3,2,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,4,7,5,3,6,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,4,7,5,6,2,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,4,7,5,6,3,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,4,7,6,2,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,4,7,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,4,7,6,3,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,4,7,6,3,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,4,7,6,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,4,7,6,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[1,5,2,3,4,6,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 100000
[1,5,2,3,4,7,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,5,2,3,6,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,5,2,3,6,7,4] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,5,2,3,7,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,5,2,3,7,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,5,2,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,5,2,4,3,7,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,2,4,6,3,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,5,2,4,6,7,3] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,5,2,4,7,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,2,4,7,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,2,6,3,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,5,2,6,3,7,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[1,5,2,6,4,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,2,6,4,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,2,6,7,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[1,5,2,6,7,4,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,2,7,3,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,5,2,7,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,5,2,7,4,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,2,7,4,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,2,7,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,5,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,5,3,2,4,6,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,5,3,2,4,7,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,3,2,6,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,3,2,6,7,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,3,2,7,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,3,2,7,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[1,5,3,4,2,6,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,5,3,4,2,7,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,3,4,6,2,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,5,3,4,6,7,2] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[1,5,3,4,7,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,3,4,7,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,3,6,2,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,3,6,2,7,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,3,6,4,2,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,3,6,4,7,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,3,6,7,2,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,3,6,7,4,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,3,7,2,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,3,7,2,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[1,5,3,7,4,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,3,7,4,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,3,7,6,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[1,5,3,7,6,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,5,4,2,3,6,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[1,5,4,2,3,7,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,4,2,6,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,4,2,6,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,4,2,7,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,4,2,7,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[1,5,4,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,4,3,2,7,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,4,3,6,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,4,3,6,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,4,3,7,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,4,3,7,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,4,6,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,4,6,2,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,4,6,3,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,4,6,3,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,4,6,7,2,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,4,6,7,3,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,4,7,2,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,4,7,2,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[1,5,4,7,3,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,4,7,3,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,4,7,6,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[1,5,4,7,6,3,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,6,2,3,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[1,5,6,2,3,7,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[1,5,6,2,4,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,6,2,4,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,6,2,7,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[1,5,6,2,7,4,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,6,3,2,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,6,3,2,7,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,6,3,4,2,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,6,3,4,7,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,6,3,7,2,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,6,3,7,4,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,6,4,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,6,4,2,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,6,4,3,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,6,4,3,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,6,4,7,2,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,6,4,7,3,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[1,5,6,7,2,4,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,6,7,3,2,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,6,7,3,4,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[1,5,6,7,4,2,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[1,5,6,7,4,3,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[1,5,7,2,3,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[1,5,7,2,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,5,7,2,4,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,7,2,4,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,7,2,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,5,7,2,6,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,5,7,3,2,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,7,3,2,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[1,5,7,3,4,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,7,3,4,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[1,5,7,3,6,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[1,5,7,3,6,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,5,7,4,2,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[1,5,7,4,2,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[1,5,7,4,3,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,7,4,3,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,7,4,6,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[1,5,7,4,6,3,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[1,5,7,6,2,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,5,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,5,7,6,3,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,5,7,6,3,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,5,7,6,4,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,5,7,6,4,3,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[1,6,2,3,4,5,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 100000
[1,6,2,3,4,7,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,6,2,3,5,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,6,2,3,5,7,4] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,6,2,3,7,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,6,2,3,7,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,2,4,3,5,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,6,2,4,3,7,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,2,4,5,3,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,6,2,4,5,7,3] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,6,2,4,7,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,2,4,7,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,2,5,3,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,6,2,5,3,7,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,2,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,6,2,5,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,6,2,5,7,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,2,5,7,4,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,6,2,7,3,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,6,2,7,3,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,2,7,4,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,2,7,4,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,2,7,5,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,2,7,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,3,2,4,5,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,6,3,2,4,7,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,3,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,6,3,2,5,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,6,3,2,7,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,3,2,7,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[1,6,3,4,2,5,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,6,3,4,2,7,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,3,4,5,2,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,6,3,4,5,7,2] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[1,6,3,4,7,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,3,4,7,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,3,5,2,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,6,3,5,2,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,6,3,5,4,2,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,6,3,5,4,7,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,6,3,5,7,2,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[1,6,3,5,7,4,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,6,3,7,2,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,3,7,2,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[1,6,3,7,4,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,3,7,4,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,3,7,5,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[1,6,3,7,5,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,4,2,3,5,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[1,6,4,2,3,7,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,4,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,6,4,2,5,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,6,4,2,7,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,4,2,7,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[1,6,4,3,2,5,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,6,4,3,2,7,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,4,3,5,2,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,6,4,3,5,7,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,6,4,3,7,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,4,3,7,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,4,5,2,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,6,4,5,2,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,6,4,5,3,2,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,6,4,5,3,7,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,6,4,5,7,2,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[1,6,4,5,7,3,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[1,6,4,7,2,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,4,7,2,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[1,6,4,7,3,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,4,7,3,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,4,7,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[1,6,4,7,5,3,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,5,2,3,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[1,6,5,2,3,7,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,5,2,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,6,5,2,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,6,5,2,7,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,5,2,7,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,5,3,2,4,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,6,5,3,2,7,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,5,3,4,2,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,6,5,3,4,7,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[1,6,5,3,7,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,5,3,7,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,5,4,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[1,6,5,4,2,7,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[1,6,5,4,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[1,6,5,4,7,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[1,6,5,7,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,5,7,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,5,7,3,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,5,7,3,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,5,7,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,5,7,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[1,6,7,2,3,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[1,6,7,2,3,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,7,2,4,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,7,2,4,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,7,2,5,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,7,2,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,7,3,2,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,7,3,2,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[1,6,7,3,4,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,7,3,4,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[1,6,7,3,5,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[1,6,7,3,5,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,7,4,2,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[1,6,7,4,2,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[1,6,7,4,3,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,7,4,3,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,7,4,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[1,6,7,4,5,3,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[1,6,7,5,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[1,6,7,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,7,5,3,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,7,5,3,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[1,6,7,5,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[1,6,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[1,7,2,3,4,5,6] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 100000
[1,7,2,3,4,6,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,7,2,3,5,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,7,2,3,5,6,4] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,7,2,3,6,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,7,2,3,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,7,2,4,3,5,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,7,2,4,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,7,2,4,5,3,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,7,2,4,5,6,3] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,7,2,4,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,7,2,4,6,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,7,2,5,3,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,7,2,5,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,7,2,5,4,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,7,2,5,4,6,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,7,2,5,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,7,2,5,6,4,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,7,2,6,3,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,7,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,7,2,6,4,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,7,2,6,4,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,7,2,6,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,7,2,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[1,7,3,2,4,5,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,7,3,2,4,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,7,3,2,5,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,7,3,2,5,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,7,3,2,6,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,7,3,2,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,7,3,4,2,5,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,7,3,4,2,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,7,3,4,5,2,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,7,3,4,5,6,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[1,7,3,4,6,2,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,7,3,4,6,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,7,3,5,2,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,7,3,5,2,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,7,3,5,4,2,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,7,3,5,4,6,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,7,3,5,6,2,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[1,7,3,5,6,4,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,7,3,6,2,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[1,7,3,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,7,3,6,4,2,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,7,3,6,4,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,7,3,6,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,7,3,6,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[1,7,4,2,3,5,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[1,7,4,2,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,7,4,2,5,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,7,4,2,5,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,7,4,2,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,7,4,2,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,7,4,3,2,5,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,7,4,3,2,6,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,7,4,3,5,2,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,7,4,3,5,6,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,7,4,3,6,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,7,4,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,7,4,5,2,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,7,4,5,2,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,7,4,5,3,2,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,7,4,5,3,6,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,7,4,5,6,2,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[1,7,4,5,6,3,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[1,7,4,6,2,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[1,7,4,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,7,4,6,3,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,7,4,6,3,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[1,7,4,6,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,7,4,6,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[1,7,5,2,3,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[1,7,5,2,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,7,5,2,4,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,7,5,2,4,6,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,7,5,2,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,7,5,2,6,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,7,5,3,2,4,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,7,5,3,2,6,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,7,5,3,4,2,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,7,5,3,4,6,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[1,7,5,3,6,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,7,5,3,6,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,7,5,4,2,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[1,7,5,4,2,6,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,7,5,4,3,2,6] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[1,7,5,4,3,6,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[1,7,5,4,6,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,7,5,4,6,3,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[1,7,5,6,2,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[1,7,5,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,7,5,6,3,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,7,5,6,3,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[1,7,5,6,4,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[1,7,5,6,4,3,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[1,7,6,2,3,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[1,7,6,2,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,7,6,2,4,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,7,6,2,4,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,7,6,2,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,7,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[1,7,6,3,2,4,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,7,6,3,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,7,6,3,4,2,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,7,6,3,4,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[1,7,6,3,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[1,7,6,3,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[1,7,6,4,2,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[1,7,6,4,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,7,6,4,3,2,5] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[1,7,6,4,3,5,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[1,7,6,4,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[1,7,6,4,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[1,7,6,5,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[1,7,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[1,7,6,5,3,2,4] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[1,7,6,5,3,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[1,7,6,5,4,2,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 111110
[2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 100000
[2,1,3,4,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,1,3,4,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,1,3,4,6,7,5] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,1,3,4,7,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,1,3,5,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,1,3,5,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,1,3,5,6,4,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,1,3,5,6,7,4] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,1,3,5,7,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,1,3,5,7,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,1,3,6,4,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,1,3,6,4,7,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,1,3,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,1,3,6,5,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,1,3,6,7,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,1,3,6,7,5,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,1,3,7,4,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,1,3,7,4,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,1,3,7,5,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,1,3,7,5,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,1,3,7,6,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,1,4,3,5,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,1,4,3,5,7,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,1,4,3,6,7,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,1,4,3,7,5,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,1,4,5,3,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,1,4,5,3,7,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,1,4,5,6,3,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,1,4,5,6,7,3] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,1,4,5,7,3,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,1,4,5,7,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,1,4,6,3,5,7] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,1,4,6,3,7,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,1,4,6,5,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,1,4,6,5,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,1,4,6,7,3,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,1,4,6,7,5,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,1,4,7,3,5,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,1,4,7,3,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,1,4,7,5,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,1,4,7,5,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,1,4,7,6,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,1,4,7,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,1,5,3,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,1,5,3,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,1,5,3,6,4,7] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,1,5,3,6,7,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,1,5,3,7,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,1,5,3,7,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,1,5,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,1,5,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,1,5,4,6,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,1,5,4,6,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,1,5,4,7,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,1,5,4,7,6,3] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,1,5,6,3,4,7] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,1,5,6,3,7,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,1,5,6,4,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,1,5,6,4,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,1,5,6,7,3,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,1,5,6,7,4,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,1,5,7,3,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,1,5,7,3,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,1,5,7,4,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,1,5,7,4,6,3] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,1,5,7,6,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,1,5,7,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,1,6,3,4,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,1,6,3,4,7,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,1,6,3,5,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,1,6,3,5,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,1,6,3,7,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,1,6,3,7,5,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,1,6,4,3,5,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,1,6,4,3,7,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,1,6,4,5,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,1,6,4,5,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,1,6,4,7,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,1,6,4,7,5,3] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,1,6,5,3,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,1,6,5,3,7,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,1,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,1,6,5,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,1,6,5,7,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,1,6,5,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,1,6,7,3,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,1,6,7,3,5,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,1,6,7,4,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,1,6,7,4,5,3] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,1,6,7,5,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,1,6,7,5,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,1,7,3,4,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,1,7,3,4,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,1,7,3,5,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,1,7,3,5,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,1,7,3,6,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,1,7,3,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,1,7,4,3,5,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,1,7,4,3,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,1,7,4,5,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,1,7,4,5,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,1,7,4,6,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,1,7,4,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,1,7,5,3,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,1,7,5,3,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,1,7,5,4,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,1,7,5,4,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,1,7,5,6,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,1,7,5,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,1,7,6,3,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,1,7,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,1,7,6,4,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,1,7,6,4,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,1,7,6,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[2,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 100000
[2,3,1,4,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,1,4,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,1,4,6,7,5] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,1,4,7,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,1,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,1,5,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,1,5,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,3,1,5,6,4,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,1,5,6,7,4] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,1,5,7,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,3,1,5,7,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,1,6,4,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,1,6,4,7,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,3,1,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,1,6,5,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,1,6,7,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,3,1,6,7,5,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,1,7,4,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,1,7,4,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,1,7,5,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,1,7,5,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,1,7,6,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,1,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 100000
[2,3,4,1,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,4,1,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,4,1,6,7,5] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,4,1,7,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,4,1,7,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 100000
[2,3,4,5,1,7,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 100000
[2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 100000
[2,3,4,5,7,1,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,4,5,7,6,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,3,4,6,1,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,4,6,1,7,5] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,4,6,5,1,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,3,4,6,5,7,1] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,3,4,6,7,1,5] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,4,6,7,5,1] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,3,4,7,1,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,4,7,1,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,4,7,5,1,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,3,4,7,5,6,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,3,4,7,6,1,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,4,7,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,3,5,1,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,5,1,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,3,5,1,6,4,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,5,1,6,7,4] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,5,1,7,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,3,5,1,7,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,5,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,3,5,4,1,7,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,3,5,4,6,1,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,3,5,4,6,7,1] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,3,5,4,7,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,3,5,4,7,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,3,5,6,1,4,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,5,6,1,7,4] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,5,6,4,1,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,3,5,6,4,7,1] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,3,5,6,7,1,4] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,3,5,6,7,4,1] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,3,5,7,1,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,3,5,7,1,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,5,7,4,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,3,5,7,4,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,3,5,7,6,1,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,5,7,6,4,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,3,6,1,4,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,3,6,1,4,7,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,3,6,1,5,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,6,1,5,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,6,1,7,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,3,6,1,7,5,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,6,4,1,5,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,3,6,4,1,7,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,3,6,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,3,6,4,5,7,1] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,3,6,4,7,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,3,6,4,7,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,3,6,5,1,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,6,5,1,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,6,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,3,6,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,3,6,5,7,1,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,6,5,7,4,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,3,6,7,1,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,3,6,7,1,5,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,6,7,4,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,3,6,7,4,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,3,6,7,5,1,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,3,6,7,5,4,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,3,7,1,4,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,3,7,1,4,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,7,1,5,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,7,1,5,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,7,1,6,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,7,1,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,3,7,4,1,5,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,3,7,4,1,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,7,4,5,1,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,3,7,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,3,7,4,6,1,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,7,4,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,3,7,5,1,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,7,5,1,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,7,5,4,1,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,3,7,5,4,6,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,3,7,5,6,1,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,3,7,5,6,4,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,3,7,6,1,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,3,7,6,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,3,7,6,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,3,7,6,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,3,7,6,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,3,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[2,4,1,3,5,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,1,3,5,7,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,1,3,6,5,7] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,1,3,6,7,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,1,3,7,5,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,1,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,4,1,5,3,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,1,5,3,7,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,1,5,6,3,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,1,5,6,7,3] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,1,5,7,3,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,1,5,7,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,1,6,3,5,7] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,1,6,3,7,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,1,6,5,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,1,6,5,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,1,6,7,3,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,1,6,7,5,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,1,7,3,5,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,1,7,3,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,4,1,7,5,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,1,7,5,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,1,7,6,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,4,1,7,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,4,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,3,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,3,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,3,1,6,7,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,3,1,7,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,3,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[2,4,3,5,1,6,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,3,5,1,7,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,3,5,6,1,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,3,5,6,7,1] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,3,5,7,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,3,5,7,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,3,6,1,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,3,6,1,7,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,3,6,5,1,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,3,6,5,7,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,3,6,7,1,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,3,6,7,5,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,3,7,1,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,3,7,1,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[2,4,3,7,5,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,3,7,5,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,3,7,6,1,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[2,4,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,4,5,1,3,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,5,1,3,7,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,5,1,6,3,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,5,1,6,7,3] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,5,1,7,3,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,5,1,7,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,5,3,1,6,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,5,3,1,7,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,5,3,6,1,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,5,3,6,7,1] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,5,3,7,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,5,3,7,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,5,6,1,3,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,5,6,1,7,3] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,5,6,3,1,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,5,6,3,7,1] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,5,6,7,1,3] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 010000
[2,4,5,6,7,3,1] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[2,4,5,7,1,3,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,5,7,1,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,5,7,3,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,5,7,3,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,5,7,6,1,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,5,7,6,3,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,4,6,1,3,5,7] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,6,1,3,7,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,6,1,5,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,6,1,5,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,6,1,7,3,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,6,1,7,5,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,6,3,1,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,6,3,1,7,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,6,3,5,1,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,6,3,5,7,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,6,3,7,1,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,6,3,7,5,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,6,5,1,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,6,5,1,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,6,5,3,1,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,4,6,5,3,7,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,4,6,5,7,1,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,6,5,7,3,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,4,6,7,1,3,5] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => 001000
[2,4,6,7,1,5,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,6,7,3,1,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,6,7,3,5,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[2,4,6,7,5,1,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,4,6,7,5,3,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,4,7,1,3,5,6] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => 001000
[2,4,7,1,3,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,4,7,1,5,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,7,1,5,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,7,1,6,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,4,7,1,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,4,7,3,1,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,7,3,1,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[2,4,7,3,5,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,7,3,5,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[2,4,7,3,6,1,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[2,4,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,4,7,5,1,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,7,5,1,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,7,5,3,1,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,4,7,5,3,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,4,7,5,6,1,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,4,7,5,6,3,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,4,7,6,1,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,4,7,6,1,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,4,7,6,3,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,4,7,6,3,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,4,7,6,5,1,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,4,7,6,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[2,5,1,3,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 010000
[2,5,1,3,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,5,1,3,6,4,7] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,1,3,6,7,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,1,3,7,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,5,1,3,7,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,5,1,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,1,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,1,4,6,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,1,4,6,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,1,4,7,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,1,4,7,6,3] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,1,6,3,4,7] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,1,6,3,7,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,1,6,4,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,1,6,4,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,1,6,7,3,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,1,6,7,4,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,1,7,3,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,5,1,7,3,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,5,1,7,4,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,1,7,4,6,3] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,1,7,6,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,5,1,7,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,5,3,1,4,6,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,5,3,1,4,7,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,3,1,6,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,3,1,6,7,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,3,1,7,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,3,1,7,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[2,5,3,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,5,3,4,1,7,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,3,4,6,1,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,5,3,4,6,7,1] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[2,5,3,4,7,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,3,4,7,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,3,6,1,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,3,6,1,7,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,3,6,4,1,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,3,6,4,7,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,3,6,7,1,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,3,6,7,4,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,3,7,1,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,3,7,1,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[2,5,3,7,4,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,3,7,4,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,3,7,6,1,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[2,5,3,7,6,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,5,4,1,3,6,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,4,1,3,7,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,4,1,6,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,4,1,6,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,4,1,7,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,4,1,7,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[2,5,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,4,3,1,7,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,4,3,7,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,4,3,7,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,4,6,1,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,4,6,1,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,4,6,3,1,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,4,6,3,7,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,4,6,7,1,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,4,6,7,3,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,4,7,1,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,4,7,1,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[2,5,4,7,3,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,4,7,3,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,4,7,6,1,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[2,5,4,7,6,3,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,6,1,3,4,7] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,6,1,3,7,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,6,1,4,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,6,1,4,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,6,1,7,3,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,6,1,7,4,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,6,3,1,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,6,3,1,7,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,6,3,4,1,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,6,3,4,7,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,6,3,7,1,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,6,3,7,4,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,6,4,1,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,6,4,1,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,6,4,3,1,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,6,4,3,7,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,6,4,7,1,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,6,4,7,3,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,6,7,1,3,4] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => 001000
[2,5,6,7,1,4,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,6,7,3,1,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,6,7,3,4,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[2,5,6,7,4,1,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[2,5,6,7,4,3,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[2,5,7,1,3,4,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 001000
[2,5,7,1,3,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,5,7,1,4,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,7,1,4,6,3] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,7,1,6,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,5,7,1,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,5,7,3,1,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,7,3,1,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[2,5,7,3,4,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,7,3,4,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[2,5,7,3,6,1,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[2,5,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,5,7,4,1,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[2,5,7,4,1,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[2,5,7,4,3,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,7,4,3,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,7,4,6,1,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[2,5,7,4,6,3,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[2,5,7,6,1,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,5,7,6,1,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,5,7,6,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,5,7,6,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,5,7,6,4,1,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,5,7,6,4,3,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[2,6,1,3,4,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 010000
[2,6,1,3,4,7,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,6,1,3,5,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,1,3,5,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,1,3,7,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,6,1,3,7,5,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,1,4,3,5,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,1,4,3,7,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,1,4,5,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,1,4,5,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,1,4,7,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,1,4,7,5,3] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,1,5,3,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,1,5,3,7,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,1,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,1,5,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,1,5,7,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,1,5,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,1,7,3,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,6,1,7,3,5,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,1,7,4,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,1,7,4,5,3] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,1,7,5,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,1,7,5,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,3,1,4,5,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,6,3,1,4,7,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,3,1,5,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,3,1,5,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,3,1,7,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,3,1,7,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[2,6,3,4,1,5,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,6,3,4,1,7,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,3,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,6,3,4,5,7,1] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[2,6,3,4,7,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,3,4,7,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,3,5,1,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,3,5,1,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,6,3,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,6,3,5,7,1,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,3,5,7,4,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,6,3,7,1,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,3,7,1,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[2,6,3,7,4,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,3,7,4,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,3,7,5,1,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[2,6,3,7,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,4,1,3,5,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,4,1,3,7,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,4,1,5,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,4,1,5,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,4,1,7,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,4,1,7,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[2,6,4,3,1,5,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,6,4,3,1,7,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,4,3,5,1,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,6,4,3,5,7,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,6,4,3,7,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,4,3,7,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,4,5,1,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,4,5,1,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,4,5,3,1,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,6,4,5,3,7,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,6,4,5,7,1,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[2,6,4,5,7,3,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[2,6,4,7,1,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,4,7,1,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[2,6,4,7,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,4,7,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,4,7,5,1,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[2,6,4,7,5,3,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,5,1,3,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[2,6,5,1,3,7,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,5,1,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,5,1,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,5,1,7,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,5,1,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,5,3,1,4,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,6,5,3,1,7,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,5,3,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,6,5,3,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[2,6,5,3,7,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,5,3,7,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,5,4,1,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,5,4,1,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[2,6,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[2,6,5,4,7,1,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,5,4,7,3,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[2,6,5,7,1,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,5,7,1,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,5,7,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,5,7,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,5,7,4,1,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,5,7,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[2,6,7,1,3,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 001000
[2,6,7,1,3,5,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,7,1,4,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,7,1,4,5,3] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,7,1,5,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,7,1,5,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,7,3,1,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,7,3,1,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[2,6,7,3,4,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,7,3,4,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[2,6,7,3,5,1,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[2,6,7,3,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,7,4,1,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[2,6,7,4,1,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[2,6,7,4,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,7,4,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,7,4,5,1,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[2,6,7,4,5,3,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[2,6,7,5,1,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[2,6,7,5,1,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,7,5,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,7,5,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[2,6,7,5,4,1,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[2,6,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[2,7,1,3,4,5,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 010000
[2,7,1,3,4,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,1,3,5,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,1,3,5,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,1,3,6,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,1,3,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,1,4,3,5,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,1,4,3,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,7,1,4,5,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,1,4,5,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,1,4,6,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,7,1,4,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,1,5,3,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,1,5,3,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,7,1,5,4,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,1,5,4,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,1,5,6,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,7,1,5,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,1,6,3,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,1,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,1,6,4,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,1,6,4,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,1,6,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[2,7,3,1,4,5,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,7,3,1,4,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,3,1,5,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,3,1,5,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,3,1,6,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,3,1,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,3,4,1,5,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,7,3,4,1,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,3,4,5,1,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,7,3,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[2,7,3,4,6,1,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,3,4,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,7,3,5,1,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,3,5,1,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,3,5,4,1,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,7,3,5,4,6,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,7,3,5,6,1,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,3,5,6,4,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,7,3,6,1,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,3,6,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,3,6,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,7,3,6,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,7,3,6,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,3,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[2,7,4,1,3,5,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,4,1,3,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,7,4,1,5,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,4,1,5,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,4,1,6,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,7,4,1,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,4,3,1,5,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,7,4,3,1,6,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,7,4,3,5,1,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,7,4,3,5,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,7,4,3,6,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,7,4,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,7,4,5,1,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,4,5,1,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,4,5,3,1,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,7,4,5,3,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,7,4,5,6,1,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[2,7,4,5,6,3,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[2,7,4,6,1,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[2,7,4,6,1,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,4,6,3,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,7,4,6,3,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[2,7,4,6,5,1,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,4,6,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[2,7,5,1,3,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[2,7,5,1,3,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,7,5,1,4,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,5,1,4,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,5,1,6,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,7,5,1,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,5,3,1,4,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,7,5,3,1,6,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,7,5,3,4,1,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,7,5,3,4,6,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[2,7,5,3,6,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,7,5,3,6,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,7,5,4,1,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,5,4,1,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,5,4,3,1,6] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[2,7,5,4,3,6,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[2,7,5,4,6,1,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,5,4,6,3,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[2,7,5,6,1,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[2,7,5,6,1,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,5,6,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,7,5,6,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[2,7,5,6,4,1,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[2,7,5,6,4,3,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[2,7,6,1,3,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[2,7,6,1,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,6,1,4,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,6,1,4,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,6,1,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,6,1,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[2,7,6,3,1,4,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,7,6,3,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,6,3,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,7,6,3,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[2,7,6,3,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[2,7,6,4,1,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,6,4,1,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,6,4,3,1,5] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[2,7,6,4,3,5,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[2,7,6,4,5,1,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[2,7,6,4,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[2,7,6,5,1,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[2,7,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[2,7,6,5,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[2,7,6,5,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[2,7,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[2,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => 111110
[3,1,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 100000
[3,1,2,4,5,7,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[3,1,2,4,6,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[3,1,2,4,6,7,5] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[3,1,2,4,7,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[3,1,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,1,2,5,4,6,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[3,1,2,5,4,7,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,1,2,5,6,4,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[3,1,2,5,6,7,4] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[3,1,2,5,7,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,1,2,5,7,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,1,2,6,4,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[3,1,2,6,4,7,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,1,2,6,5,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,1,2,6,5,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,1,2,6,7,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,1,2,6,7,5,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,1,2,7,4,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[3,1,2,7,4,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,1,2,7,5,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,1,2,7,5,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,1,2,7,6,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,1,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,1,4,2,5,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,1,4,2,5,7,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,1,4,2,6,5,7] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,1,4,2,6,7,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,1,4,2,7,5,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,1,4,2,7,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,1,4,5,2,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,1,4,5,2,7,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,1,4,5,6,2,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,1,4,5,6,7,2] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,1,4,5,7,2,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,1,4,5,7,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,1,4,6,2,5,7] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,1,4,6,2,7,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,1,4,6,5,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,1,4,6,5,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,1,4,6,7,2,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,1,4,6,7,5,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,1,4,7,2,5,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,1,4,7,2,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,1,4,7,5,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,1,4,7,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,1,4,7,6,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,1,4,7,6,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,1,5,2,4,6,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[3,1,5,2,4,7,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,1,5,2,6,4,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,1,5,2,6,7,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,1,5,2,7,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,1,5,2,7,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,1,5,4,2,6,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,1,5,4,2,7,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,1,5,4,6,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,1,5,4,6,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,1,5,4,7,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,1,5,4,7,6,2] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,1,5,6,2,4,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,1,5,6,2,7,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,1,5,6,4,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,1,5,6,4,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,1,5,6,7,2,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,1,5,6,7,4,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,1,5,7,2,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,1,5,7,2,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,1,5,7,4,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,1,5,7,4,6,2] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,1,5,7,6,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,1,5,7,6,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,1,6,2,4,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[3,1,6,2,4,7,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,1,6,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,1,6,2,5,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,1,6,2,7,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,1,6,2,7,5,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,1,6,4,2,5,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,1,6,4,2,7,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,1,6,4,5,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,1,6,4,5,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,1,6,4,7,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,1,6,4,7,5,2] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,1,6,5,2,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,1,6,5,2,7,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,1,6,5,4,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,1,6,5,4,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,1,6,5,7,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,1,6,5,7,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,1,6,7,2,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,1,6,7,2,5,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,1,6,7,4,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,1,6,7,4,5,2] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,1,6,7,5,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,1,6,7,5,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,1,7,2,4,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[3,1,7,2,4,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,1,7,2,5,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,1,7,2,5,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,1,7,2,6,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,1,7,2,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,1,7,4,2,5,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,1,7,4,2,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,1,7,4,5,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,1,7,4,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,1,7,4,6,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,1,7,4,6,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,1,7,5,2,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,1,7,5,2,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,1,7,5,4,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,1,7,5,4,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,1,7,5,6,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,1,7,5,6,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,1,7,6,2,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,1,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,1,7,6,4,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,1,7,6,4,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,1,7,6,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,1,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,1,4,6,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,1,4,6,7,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,1,4,7,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,1,5,4,6,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,1,5,6,4,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,1,5,6,7,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,1,5,7,4,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,1,5,7,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,1,6,4,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,1,6,4,7,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,1,6,5,4,7] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,1,6,5,7,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,1,6,7,4,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,1,6,7,5,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,1,7,4,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,1,7,4,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,1,7,5,4,6] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,1,7,5,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,1,7,6,4,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,2,4,1,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,2,4,1,5,7,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,4,1,6,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,4,1,6,7,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,4,1,7,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,4,1,7,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,4,5,1,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,2,4,5,1,7,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,4,5,6,1,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,2,4,5,6,7,1] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,2,4,5,7,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,4,5,7,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,4,6,1,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,4,6,1,7,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,4,6,5,1,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,4,6,5,7,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,4,6,7,1,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,4,6,7,5,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,4,7,1,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,4,7,1,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,4,7,5,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,4,7,5,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,4,7,6,1,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,4,7,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,2,5,1,4,6,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,1,4,7,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,5,1,6,4,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,1,6,7,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,1,7,4,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,5,1,7,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,5,4,1,6,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,4,1,7,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,5,4,6,1,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,4,6,7,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,4,7,1,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,5,4,7,6,1] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,5,6,1,4,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,6,1,7,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,6,4,1,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,6,4,7,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,6,7,1,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,6,7,4,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,2,5,7,1,4,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,5,7,1,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,5,7,4,1,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,5,7,4,6,1] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,2,5,7,6,1,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,5,7,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,2,6,1,4,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,6,1,4,7,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,6,1,5,4,7] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,6,1,5,7,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,6,1,7,4,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,6,1,7,5,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,6,4,1,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,6,4,1,7,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,6,4,5,1,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,6,4,5,7,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,2,6,4,7,1,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,6,4,7,5,1] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,6,5,1,4,7] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,6,5,1,7,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,6,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,2,6,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,2,6,5,7,1,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,6,5,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,2,6,7,1,4,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,6,7,1,5,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,6,7,4,1,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,6,7,4,5,1] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,2,6,7,5,1,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,2,6,7,5,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,2,7,1,4,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,7,1,4,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,7,1,5,4,6] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,7,1,5,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,7,1,6,4,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,7,1,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,2,7,4,1,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,7,4,1,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,7,4,5,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,7,4,5,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,2,7,4,6,1,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,7,4,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,2,7,5,1,4,6] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,7,5,1,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,7,5,4,1,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,2,7,5,4,6,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,2,7,5,6,1,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,2,7,5,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,2,7,6,1,4,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,2,7,6,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,2,7,6,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,2,7,6,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,2,7,6,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,2,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,1,2,5,7,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,1,2,6,5,7] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,1,2,6,7,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,1,2,7,5,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,1,2,7,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,4,1,5,2,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,1,5,2,7,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,1,5,6,2,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,1,5,6,7,2] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,1,5,7,2,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,1,5,7,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,1,6,2,5,7] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,1,6,2,7,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,1,6,5,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,1,6,5,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,1,6,7,2,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,1,6,7,5,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,1,7,2,5,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,1,7,2,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,4,1,7,5,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,1,7,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,1,7,6,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,4,1,7,6,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,4,2,1,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,2,1,5,7,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,2,1,6,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,2,1,6,7,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,2,1,7,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,2,1,7,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,4,2,5,1,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,2,5,1,7,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,2,5,6,1,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,2,5,6,7,1] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,2,5,7,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,2,5,7,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,2,6,1,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,2,6,1,7,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,2,6,5,1,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,2,6,5,7,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,2,6,7,1,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,2,6,7,5,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,2,7,1,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,2,7,1,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,4,2,7,5,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,2,7,5,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,2,7,6,1,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,4,2,7,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,4,5,1,2,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,5,1,2,7,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,5,1,6,2,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,5,1,6,7,2] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,5,1,7,2,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,5,1,7,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,5,2,1,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,5,2,1,7,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,5,2,6,1,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,5,2,6,7,1] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,5,2,7,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,5,2,7,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,5,6,1,2,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,5,6,1,7,2] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,5,6,2,1,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,5,6,2,7,1] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,5,6,7,1,2] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 010000
[3,4,5,6,7,2,1] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 110000
[3,4,5,7,1,2,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,5,7,1,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,5,7,2,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,5,7,2,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,5,7,6,1,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,5,7,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,4,6,1,2,5,7] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,6,1,2,7,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,6,1,5,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,6,1,5,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,6,1,7,2,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,6,1,7,5,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,6,2,1,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,6,2,1,7,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,6,2,5,1,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,6,2,5,7,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,6,2,7,1,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,6,2,7,5,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,6,5,1,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,6,5,1,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,6,5,2,1,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,4,6,5,2,7,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,4,6,5,7,1,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,6,5,7,2,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,4,6,7,1,2,5] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => 001000
[3,4,6,7,1,5,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,6,7,2,1,5] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,6,7,2,5,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,4,6,7,5,1,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,4,6,7,5,2,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,4,7,1,2,5,6] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => 001000
[3,4,7,1,2,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,4,7,1,5,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,7,1,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,7,1,6,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,4,7,1,6,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,4,7,2,1,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,7,2,1,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,4,7,2,5,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,7,2,5,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,4,7,2,6,1,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,4,7,2,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,4,7,5,1,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,7,5,1,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,7,5,2,1,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,4,7,5,2,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,4,7,5,6,1,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,4,7,5,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,4,7,6,1,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,4,7,6,1,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,4,7,6,2,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,4,7,6,2,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,4,7,6,5,1,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,4,7,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[3,5,1,2,4,6,7] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => 010000
[3,5,1,2,4,7,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,5,1,2,6,4,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,1,2,6,7,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,1,2,7,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,5,1,2,7,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,5,1,4,2,6,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,1,4,2,7,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,1,4,6,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,1,4,6,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,1,4,7,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,1,4,7,6,2] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,1,6,2,4,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,1,6,2,7,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,1,6,4,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,1,6,4,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,1,6,7,2,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,1,6,7,4,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,1,7,2,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,5,1,7,2,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,5,1,7,4,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,1,7,4,6,2] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,1,7,6,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,5,1,7,6,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,5,2,1,4,6,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,1,4,7,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,2,1,6,4,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,1,6,7,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,1,7,4,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,2,1,7,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,5,2,4,1,6,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,4,1,7,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,2,4,6,1,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,4,6,7,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,4,7,1,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,2,4,7,6,1] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,2,6,1,4,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,6,1,7,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,6,4,1,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,6,4,7,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,6,7,1,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,6,7,4,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,2,7,1,4,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,2,7,1,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,5,2,7,4,1,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,2,7,4,6,1] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,2,7,6,1,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,5,2,7,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,5,4,1,2,6,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,4,1,2,7,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,4,1,6,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,4,1,6,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,4,1,7,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,4,1,7,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[3,5,4,2,1,6,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,4,2,1,7,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,4,2,6,1,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,4,2,7,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,4,2,7,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,4,6,1,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,4,6,1,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,4,6,2,1,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,4,6,2,7,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,4,6,7,1,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,4,7,1,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,4,7,1,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[3,5,4,7,2,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,4,7,2,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,4,7,6,1,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[3,5,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,6,1,2,4,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,6,1,2,7,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,6,1,4,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,6,1,4,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,6,1,7,2,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,6,1,7,4,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,6,2,1,4,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,6,2,1,7,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,6,2,4,1,7] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,6,2,4,7,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,6,2,7,1,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,6,2,7,4,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,6,4,1,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,6,4,1,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,6,4,2,1,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,6,4,2,7,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,6,4,7,1,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,6,4,7,2,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,6,7,1,2,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 001000
[3,5,6,7,1,4,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,6,7,2,1,4] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,6,7,2,4,1] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => 101000
[3,5,6,7,4,1,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[3,5,6,7,4,2,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[3,5,7,1,2,4,6] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => 001000
[3,5,7,1,2,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,5,7,1,4,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,7,1,4,6,2] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,7,1,6,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,5,7,1,6,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,5,7,2,1,4,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,7,2,1,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,5,7,2,4,1,6] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,7,2,4,6,1] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => 100100
[3,5,7,2,6,1,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,5,7,2,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,5,7,4,1,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[3,5,7,4,1,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[3,5,7,4,2,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,7,4,2,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,7,4,6,1,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[3,5,7,4,6,2,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[3,5,7,6,1,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,5,7,6,1,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,5,7,6,2,1,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,5,7,6,2,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,5,7,6,4,1,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,5,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[3,6,1,2,4,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 010000
[3,6,1,2,4,7,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,6,1,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,6,1,2,5,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,6,1,2,7,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,6,1,2,7,5,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,1,4,2,5,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,1,4,2,7,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,1,4,5,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,1,4,5,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,1,4,7,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,1,4,7,5,2] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,1,5,2,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,6,1,5,2,7,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,1,5,4,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,1,5,4,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,1,5,7,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,1,5,7,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,1,7,2,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,6,1,7,2,5,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,1,7,4,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,1,7,4,5,2] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,1,7,5,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,1,7,5,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,2,1,4,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,6,2,1,4,7,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,2,1,5,4,7] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,2,1,5,7,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,2,1,7,4,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,2,1,7,5,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,2,4,1,5,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,6,2,4,1,7,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,2,4,5,1,7] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,6,2,4,5,7,1] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => 101000
[3,6,2,4,7,1,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,2,4,7,5,1] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,2,5,1,4,7] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,2,5,1,7,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,2,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,2,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,2,5,7,1,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,2,5,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,2,7,1,4,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,2,7,1,5,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,2,7,4,1,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,2,7,4,5,1] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,2,7,5,1,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,2,7,5,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,4,1,2,5,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,4,1,2,7,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,4,1,5,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,4,1,5,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,4,1,7,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,4,1,7,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[3,6,4,2,1,5,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,6,4,2,1,7,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,4,2,5,1,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,6,4,2,5,7,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,6,4,2,7,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,4,2,7,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,4,5,1,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,4,5,1,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,4,5,2,1,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,6,4,5,2,7,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,6,4,5,7,1,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[3,6,4,5,7,2,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[3,6,4,7,1,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,4,7,1,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[3,6,4,7,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,4,7,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,4,7,5,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[3,6,4,7,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,5,1,2,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[3,6,5,1,2,7,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,5,1,4,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,5,1,4,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,5,1,7,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,5,1,7,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,5,2,1,4,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,5,2,1,7,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,5,2,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,5,2,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,5,2,7,1,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,5,2,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,5,4,1,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,5,4,1,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[3,6,5,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[3,6,5,4,7,1,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[3,6,5,7,1,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,5,7,1,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,5,7,2,1,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,5,7,2,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,5,7,4,1,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,5,7,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[3,6,7,1,2,4,5] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => 001000
[3,6,7,1,2,5,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,7,1,4,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,7,1,4,5,2] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,7,1,5,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,7,1,5,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,7,2,1,4,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,7,2,1,5,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,7,2,4,1,5] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,7,2,4,5,1] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => 100100
[3,6,7,2,5,1,4] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => 010100
[3,6,7,2,5,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,7,4,1,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[3,6,7,4,1,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[3,6,7,4,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,7,4,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,7,4,5,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[3,6,7,4,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[3,6,7,5,1,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[3,6,7,5,1,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,7,5,2,1,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,7,5,2,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[3,6,7,5,4,1,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[3,6,7,5,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[3,7,1,2,4,5,6] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => 010000
[3,7,1,2,4,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,7,1,2,5,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,7,1,2,5,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,7,1,2,6,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,7,1,2,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,7,1,4,2,5,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,1,4,2,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,7,1,4,5,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,1,4,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,1,4,6,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,7,1,4,6,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,1,5,2,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,7,1,5,2,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,7,1,5,4,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,1,5,4,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,1,5,6,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,7,1,5,6,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,1,6,2,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,7,1,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,7,1,6,4,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,1,6,4,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,1,6,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,7,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[3,7,2,1,4,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,7,2,1,4,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,7,2,1,5,4,6] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,7,2,1,5,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,7,2,1,6,4,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,7,2,1,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,7,2,4,1,5,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,7,2,4,1,6,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,7,2,4,5,1,6] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,7,2,4,5,6,1] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => 101000
[3,7,2,4,6,1,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,7,2,4,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,2,5,1,4,6] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,7,2,5,1,6,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,7,2,5,4,1,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,2,5,4,6,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,2,5,6,1,4] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => 010100
[3,7,2,5,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,2,6,1,4,5] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => 010100
[3,7,2,6,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,7,2,6,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,2,6,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,2,6,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,7,2,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[3,7,4,1,2,5,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,4,1,2,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,7,4,1,5,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,4,1,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,4,1,6,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,7,4,1,6,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,4,2,1,5,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,7,4,2,1,6,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,4,2,5,1,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,7,4,2,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,7,4,2,6,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,4,2,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,4,5,1,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,4,5,1,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,7,4,5,2,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,7,4,5,6,1,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[3,7,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[3,7,4,6,1,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[3,7,4,6,1,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,4,6,2,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,4,6,2,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,4,6,5,1,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,4,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[3,7,5,1,2,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[3,7,5,1,2,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,7,5,1,4,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,5,1,4,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,5,1,6,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,7,5,1,6,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,5,2,1,4,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,5,2,1,6,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,5,2,4,1,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,5,2,4,6,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,5,2,6,1,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,5,2,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,5,4,1,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,5,4,1,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,5,4,2,1,6] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[3,7,5,4,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[3,7,5,4,6,1,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,5,4,6,2,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[3,7,5,6,1,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[3,7,5,6,1,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,5,6,2,1,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,5,6,2,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[3,7,5,6,4,1,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[3,7,5,6,4,2,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[3,7,6,1,2,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[3,7,6,1,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,7,6,1,4,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,6,1,4,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,6,1,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,7,6,1,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[3,7,6,2,1,4,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,7,6,2,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,6,2,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[3,7,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[3,7,6,2,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[3,7,6,4,1,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,6,4,1,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,6,4,2,1,5] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[3,7,6,4,2,5,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[3,7,6,4,5,1,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[3,7,6,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[3,7,6,5,1,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[3,7,6,5,1,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[3,7,6,5,2,1,4] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[3,7,6,5,2,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[3,7,6,5,4,1,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[3,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => 111110
[4,1,2,3,5,6,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 100000
[4,1,2,3,5,7,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[4,1,2,3,6,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[4,1,2,3,6,7,5] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[4,1,2,3,7,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[4,1,2,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,1,2,5,3,6,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[4,1,2,5,3,7,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,1,2,5,6,3,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[4,1,2,5,6,7,3] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[4,1,2,5,7,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,1,2,5,7,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,1,2,6,3,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[4,1,2,6,3,7,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,1,2,6,5,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,1,2,6,5,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,1,2,6,7,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,1,2,6,7,5,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,1,2,7,3,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[4,1,2,7,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,1,2,7,5,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,1,2,7,5,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,1,2,7,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,1,2,7,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,1,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[4,1,3,2,5,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,3,2,6,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,3,2,6,7,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,3,2,7,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,1,3,5,2,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[4,1,3,5,2,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,3,5,6,2,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[4,1,3,5,6,7,2] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[4,1,3,5,7,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,3,5,7,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,3,6,2,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,3,6,2,7,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,3,6,5,2,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,3,6,5,7,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,3,6,7,2,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,3,6,7,5,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,3,7,2,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,3,7,2,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,1,3,7,5,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,3,7,5,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,3,7,6,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,1,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,1,5,2,3,6,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[4,1,5,2,3,7,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,1,5,2,6,3,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,1,5,2,6,7,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,1,5,2,7,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,1,5,2,7,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,1,5,3,2,6,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,1,5,3,2,7,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,1,5,3,6,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,1,5,3,6,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,1,5,3,7,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,1,5,3,7,6,2] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,1,5,6,2,3,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,1,5,6,2,7,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,1,5,6,3,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,1,5,6,3,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,1,5,6,7,2,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,1,5,6,7,3,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,1,5,7,2,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,1,5,7,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,1,5,7,3,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,1,5,7,3,6,2] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,1,5,7,6,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,1,5,7,6,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,1,6,2,3,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[4,1,6,2,3,7,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,1,6,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,1,6,2,5,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,1,6,2,7,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,1,6,2,7,5,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,1,6,3,2,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,6,3,2,7,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,1,6,3,5,2,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,6,3,5,7,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,1,6,3,7,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,1,6,3,7,5,2] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,1,6,5,2,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,1,6,5,2,7,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,1,6,5,3,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,1,6,5,3,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,1,6,5,7,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,1,6,5,7,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,1,6,7,2,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,1,6,7,2,5,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,1,6,7,3,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,1,6,7,3,5,2] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,1,6,7,5,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,1,6,7,5,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,1,7,2,3,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[4,1,7,2,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,1,7,2,5,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,1,7,2,5,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,1,7,2,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,1,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,1,7,3,2,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,7,3,2,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,1,7,3,5,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,7,3,5,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,1,7,3,6,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,1,7,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,1,7,5,2,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,1,7,5,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,1,7,5,3,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,1,7,5,3,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,1,7,5,6,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,1,7,5,6,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,1,7,6,2,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,1,7,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,1,7,6,3,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,1,7,6,3,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,1,7,6,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,1,7,6,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[4,2,1,3,5,6,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[4,2,1,3,5,7,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,1,3,6,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,1,3,6,7,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,1,3,7,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,1,3,7,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,1,5,3,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,1,5,3,7,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,1,5,6,3,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,1,5,6,7,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,1,5,7,3,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,1,5,7,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,1,6,3,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,1,6,3,7,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,1,6,5,3,7] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,1,6,5,7,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,1,6,7,3,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,1,6,7,5,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,1,7,3,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,1,7,3,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,1,7,5,3,6] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,1,7,5,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,1,7,6,3,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,1,7,6,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,2,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[4,2,3,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,3,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,3,1,6,7,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,3,1,7,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,3,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,3,5,1,6,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[4,2,3,5,1,7,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,3,5,6,1,7] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[4,2,3,5,6,7,1] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => 110000
[4,2,3,5,7,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,3,5,7,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,3,6,1,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,3,6,1,7,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,3,6,5,1,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,3,6,5,7,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,3,6,7,1,5] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,3,6,7,5,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,3,7,1,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,3,7,1,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,3,7,5,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,3,7,5,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,3,7,6,1,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,2,5,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,1,3,7,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,5,1,6,3,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,1,6,7,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,1,7,3,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,5,1,7,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,5,3,1,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,3,1,7,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,5,3,6,1,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,3,6,7,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,3,7,1,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,5,3,7,6,1] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,5,6,1,3,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,6,1,7,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,6,3,1,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,6,3,7,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,6,7,1,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,6,7,3,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,2,5,7,1,3,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,5,7,1,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,5,7,3,1,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,5,7,3,6,1] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,2,5,7,6,1,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,5,7,6,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,2,6,1,3,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,6,1,3,7,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,6,1,5,3,7] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,6,1,5,7,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,6,1,7,3,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,6,1,7,5,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,6,3,1,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,6,3,1,7,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,6,3,5,1,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,6,3,5,7,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,2,6,3,7,1,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,6,3,7,5,1] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,6,5,1,3,7] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,6,5,1,7,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,6,5,3,1,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,2,6,5,3,7,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,2,6,5,7,1,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,6,5,7,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,2,6,7,1,3,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,6,7,1,5,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,6,7,3,1,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,6,7,3,5,1] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,2,6,7,5,1,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,2,6,7,5,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,2,7,1,3,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,7,1,3,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,7,1,5,3,6] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,7,1,5,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,7,1,6,3,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,7,1,6,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,2,7,3,1,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,7,3,1,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,7,3,5,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,7,3,5,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,2,7,3,6,1,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,2,7,5,1,3,6] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,7,5,1,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,7,5,3,1,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,2,7,5,3,6,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,2,7,5,6,1,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,2,7,5,6,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,2,7,6,1,3,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,2,7,6,1,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,2,7,6,3,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,2,7,6,3,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,2,7,6,5,1,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,2,7,6,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[4,3,1,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => 110000
[4,3,1,2,5,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,3,1,2,6,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,3,1,2,6,7,5] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,3,1,2,7,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,3,1,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,3,1,5,2,6,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,1,5,2,7,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,3,1,5,6,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,1,5,6,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,1,5,7,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,3,1,5,7,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,1,6,2,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,3,1,6,2,7,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,3,1,6,5,2,7] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,1,6,5,7,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,1,6,7,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,3,1,6,7,5,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,1,7,2,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,3,1,7,2,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,3,1,7,5,2,6] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,1,7,5,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,1,7,6,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,3,1,7,6,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,2,1,6,5,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,2,1,6,7,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,2,1,7,5,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,2,5,1,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,2,5,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,2,5,6,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,2,5,6,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,2,5,7,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,2,5,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,2,6,1,5,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,2,6,1,7,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,2,6,5,1,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,2,6,5,7,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,2,6,7,1,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,2,6,7,5,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,2,7,1,5,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,2,7,1,6,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,2,7,5,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,2,7,5,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,2,7,6,1,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,2,7,6,5,1] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,5,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,5,1,2,7,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,3,5,1,6,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,5,1,6,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,5,1,7,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,3,5,1,7,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,5,2,1,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,5,2,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,5,2,6,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,5,2,6,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,5,2,7,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,5,2,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,5,6,1,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,5,6,1,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,5,6,2,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,5,6,2,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,5,6,7,1,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,3,5,6,7,2,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,3,5,7,1,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,3,5,7,1,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,5,7,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,5,7,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,5,7,6,1,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,5,7,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,6,1,2,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,3,6,1,2,7,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,3,6,1,5,2,7] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,6,1,5,7,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,6,1,7,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,3,6,1,7,5,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,6,2,1,5,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,2,1,7,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,2,5,1,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,2,5,7,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,2,7,1,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,2,7,5,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,5,1,2,7] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,6,5,1,7,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,6,5,2,1,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,5,2,7,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,5,7,1,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,6,5,7,2,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,7,1,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,3,6,7,1,5,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,6,7,2,1,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,7,2,5,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,6,7,5,1,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,3,6,7,5,2,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,3,7,1,2,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,3,7,1,2,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,3,7,1,5,2,6] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,7,1,5,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,7,1,6,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,3,7,1,6,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,3,7,2,1,5,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,7,2,1,6,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,7,2,5,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,7,2,5,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,7,2,6,1,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,7,2,6,5,1] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,7,5,1,2,6] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,7,5,1,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,7,5,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,7,5,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,7,5,6,1,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,3,7,5,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,3,7,6,1,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,3,7,6,1,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,3,7,6,2,1,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,7,6,2,5,1] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,3,7,6,5,1,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,3,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[4,5,1,2,3,6,7] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => 010000
[4,5,1,2,3,7,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,5,1,2,6,3,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,1,2,6,7,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,1,2,7,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,5,1,2,7,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,5,1,3,2,6,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,1,3,2,7,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,1,3,6,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,1,3,6,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,1,3,7,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,1,3,7,6,2] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,1,6,2,3,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,1,6,2,7,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,1,6,3,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,1,6,3,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,1,6,7,2,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,1,6,7,3,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,1,7,2,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,5,1,7,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,5,1,7,3,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,1,7,3,6,2] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,1,7,6,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,5,1,7,6,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,5,2,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,1,3,7,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,2,1,6,3,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,1,6,7,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,1,7,3,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,2,1,7,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,5,2,3,1,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,3,1,7,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,2,3,6,1,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,3,6,7,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,3,7,1,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,2,3,7,6,1] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,2,6,1,3,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,6,1,7,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,6,3,1,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,6,3,7,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,6,7,1,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,6,7,3,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,2,7,1,3,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,2,7,1,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,5,2,7,3,1,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,2,7,3,6,1] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,2,7,6,1,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,5,2,7,6,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,5,3,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,3,1,2,7,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,3,1,6,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,3,1,6,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,3,1,7,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,3,1,7,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,5,3,2,1,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,3,2,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,3,2,6,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,3,2,6,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,3,2,7,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,3,2,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,3,6,1,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,3,6,1,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,3,6,2,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,3,6,2,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,3,6,7,1,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,3,6,7,2,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,3,7,1,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,3,7,1,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,5,3,7,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,3,7,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,3,7,6,1,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,5,3,7,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,6,1,2,7,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,6,1,3,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,6,1,3,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,6,1,7,2,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,6,1,7,3,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,6,2,1,3,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,6,2,1,7,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,6,2,3,1,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,6,2,3,7,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,6,2,7,1,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,6,2,7,3,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,6,3,1,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,6,3,1,7,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,6,3,2,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,6,3,2,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,6,3,7,1,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,6,3,7,2,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,6,7,1,2,3] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 001000
[4,5,6,7,1,3,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,6,7,2,1,3] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,6,7,2,3,1] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 101000
[4,5,6,7,3,1,2] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => 101000
[4,5,6,7,3,2,1] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 111000
[4,5,7,1,2,3,6] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => 001000
[4,5,7,1,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,5,7,1,3,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,7,1,3,6,2] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,7,1,6,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,5,7,1,6,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,5,7,2,1,3,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,7,2,1,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,5,7,2,3,1,6] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,7,2,3,6,1] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => 100100
[4,5,7,2,6,1,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,5,7,2,6,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,5,7,3,1,2,6] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => 100100
[4,5,7,3,1,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,5,7,3,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,7,3,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,7,3,6,1,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,5,7,3,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,5,7,6,1,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,5,7,6,1,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,5,7,6,2,1,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,5,7,6,2,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,5,7,6,3,1,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,5,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[4,6,1,2,3,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 010000
[4,6,1,2,3,7,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,6,1,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,6,1,2,5,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,6,1,2,7,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,6,1,2,7,5,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,1,3,2,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,6,1,3,2,7,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,1,3,5,2,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,6,1,3,5,7,2] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,6,1,3,7,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,1,3,7,5,2] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,1,5,2,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,6,1,5,2,7,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,1,5,3,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,1,5,3,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,1,5,7,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,1,5,7,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,1,7,2,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,6,1,7,2,5,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,1,7,3,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,1,7,3,5,2] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,1,7,5,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,1,7,5,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,2,1,3,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,6,2,1,3,7,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,2,1,5,3,7] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,2,1,5,7,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,2,1,7,3,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,2,1,7,5,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,2,3,1,5,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,6,2,3,1,7,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,2,3,5,1,7] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,6,2,3,5,7,1] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => 101000
[4,6,2,3,7,1,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,2,3,7,5,1] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,2,5,1,3,7] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,2,5,1,7,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,2,5,3,1,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,2,5,3,7,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,2,5,7,1,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,2,5,7,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,2,7,1,3,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,2,7,1,5,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,2,7,3,1,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,2,7,3,5,1] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,2,7,5,1,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,2,7,5,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,3,1,2,5,7] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => 101000
[4,6,3,1,2,7,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,3,1,5,2,7] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,3,1,5,7,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,3,1,7,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,3,1,7,5,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,3,2,1,5,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,2,1,7,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,2,5,1,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,2,5,7,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,2,7,1,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,2,7,5,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,5,1,2,7] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,3,5,1,7,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,3,5,2,1,7] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,5,2,7,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,5,7,1,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,3,5,7,2,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,7,1,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,3,7,1,5,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,3,7,2,1,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,7,2,5,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,3,7,5,1,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,3,7,5,2,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,5,1,2,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[4,6,5,1,2,7,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,5,1,3,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,5,1,3,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,5,1,7,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,5,1,7,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,5,2,1,3,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,5,2,1,7,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,5,2,3,1,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,5,2,3,7,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,5,2,7,1,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,5,2,7,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,5,3,1,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,5,3,1,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[4,6,5,3,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[4,6,5,3,7,1,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,5,3,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[4,6,5,7,1,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,5,7,1,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,5,7,2,1,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,5,7,2,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,5,7,3,1,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,5,7,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[4,6,7,1,2,3,5] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => 001000
[4,6,7,1,2,5,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,7,1,3,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,7,1,3,5,2] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,7,1,5,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,7,1,5,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,7,2,1,3,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,7,2,1,5,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,7,2,3,1,5] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,7,2,3,5,1] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => 100100
[4,6,7,2,5,1,3] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => 010100
[4,6,7,2,5,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,7,3,1,2,5] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => 100100
[4,6,7,3,1,5,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,7,3,2,1,5] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,7,3,2,5,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,7,3,5,1,2] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => 010100
[4,6,7,3,5,2,1] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => 110100
[4,6,7,5,1,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[4,6,7,5,1,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,7,5,2,1,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,7,5,2,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[4,6,7,5,3,1,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[4,6,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[4,7,1,2,3,5,6] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => 010000
[4,7,1,2,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,7,1,2,5,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,7,1,2,5,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,7,1,2,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,7,1,2,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,7,1,3,2,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,7,1,3,2,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,7,1,3,5,2,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,7,1,3,5,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,7,1,3,6,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,7,1,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,7,1,5,2,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,7,1,5,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,7,1,5,3,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,1,5,3,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,1,5,6,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,7,1,5,6,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,1,6,2,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,7,1,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,7,1,6,3,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,7,1,6,3,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,7,1,6,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,7,1,6,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[4,7,2,1,3,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,7,2,1,3,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,7,2,1,5,3,6] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,7,2,1,5,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,7,2,1,6,3,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,7,2,1,6,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,7,2,3,1,5,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,7,2,3,1,6,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,7,2,3,5,1,6] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,7,2,3,5,6,1] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => 101000
[4,7,2,3,6,1,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,7,2,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,7,2,5,1,3,6] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,7,2,5,1,6,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,7,2,5,3,1,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,2,5,3,6,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,2,5,6,1,3] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => 010100
[4,7,2,5,6,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,2,6,1,3,5] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => 010100
[4,7,2,6,1,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,7,2,6,3,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,7,2,6,3,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,7,2,6,5,1,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,7,2,6,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[4,7,3,1,2,5,6] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => 101000
[4,7,3,1,2,6,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,7,3,1,5,2,6] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,7,3,1,5,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,7,3,1,6,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,7,3,1,6,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,7,3,2,1,5,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,7,3,2,1,6,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,7,3,2,5,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,7,3,2,5,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,7,3,2,6,1,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,7,3,2,6,5,1] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,7,3,5,1,2,6] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,7,3,5,1,6,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,7,3,5,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,7,3,5,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,7,3,5,6,1,2] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => 010100
[4,7,3,5,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => 110100
[4,7,3,6,1,2,5] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => 010100
[4,7,3,6,1,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,7,3,6,2,1,5] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,7,3,6,2,5,1] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => 101010
[4,7,3,6,5,1,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,7,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[4,7,5,1,2,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[4,7,5,1,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,7,5,1,3,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,5,1,3,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,5,1,6,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,7,5,1,6,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,5,2,1,3,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,5,2,1,6,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,5,2,3,1,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,5,2,3,6,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,5,2,6,1,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,5,2,6,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,5,3,1,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,5,3,1,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,5,3,2,1,6] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[4,7,5,3,2,6,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[4,7,5,3,6,1,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,5,3,6,2,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[4,7,5,6,1,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[4,7,5,6,1,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,5,6,2,1,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,5,6,2,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[4,7,5,6,3,1,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[4,7,5,6,3,2,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[4,7,6,1,2,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[4,7,6,1,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,7,6,1,3,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,7,6,1,3,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,7,6,1,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,7,6,1,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[4,7,6,2,1,3,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,7,6,2,1,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,7,6,2,3,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,7,6,2,3,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[4,7,6,2,5,1,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[4,7,6,2,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[4,7,6,3,1,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[4,7,6,3,1,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,7,6,3,2,1,5] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[4,7,6,3,2,5,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[4,7,6,3,5,1,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[4,7,6,3,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[4,7,6,5,1,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[4,7,6,5,1,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[4,7,6,5,2,1,3] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[4,7,6,5,2,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[4,7,6,5,3,1,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[4,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => 111110
[5,1,2,3,4,6,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 100000
[5,1,2,3,4,7,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[5,1,2,3,6,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[5,1,2,3,6,7,4] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[5,1,2,3,7,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[5,1,2,3,7,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,1,2,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[5,1,2,4,3,7,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,2,4,6,3,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[5,1,2,4,6,7,3] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[5,1,2,4,7,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,2,4,7,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,2,6,3,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[5,1,2,6,3,7,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,1,2,6,4,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,2,6,4,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,2,6,7,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,1,2,6,7,4,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,2,7,3,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[5,1,2,7,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,1,2,7,4,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,2,7,4,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,2,7,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,1,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,1,3,2,4,6,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[5,1,3,2,4,7,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,3,2,6,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,3,2,6,7,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,3,2,7,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,3,2,7,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,1,3,4,2,6,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[5,1,3,4,2,7,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,3,4,6,2,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[5,1,3,4,6,7,2] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[5,1,3,4,7,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,3,4,7,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,3,6,2,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,3,6,2,7,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,3,6,4,2,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,3,6,4,7,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,3,6,7,2,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,3,6,7,4,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,3,7,2,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,3,7,2,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,1,3,7,4,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,3,7,4,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,3,7,6,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,1,3,7,6,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,1,4,2,3,6,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[5,1,4,2,3,7,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,4,2,6,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,4,2,6,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,4,2,7,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,4,2,7,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,1,4,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,1,4,3,2,7,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,4,3,6,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,1,4,3,6,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,1,4,3,7,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,4,3,7,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,4,6,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,4,6,2,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,4,6,3,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,1,4,6,3,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,1,4,6,7,2,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,4,6,7,3,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,1,4,7,2,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,4,7,2,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,1,4,7,3,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,4,7,3,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,4,7,6,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,1,4,7,6,3,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,6,2,3,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[5,1,6,2,3,7,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,1,6,2,4,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,6,2,4,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,6,2,7,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,1,6,2,7,4,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,1,6,3,2,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,6,3,2,7,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,1,6,3,4,2,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,6,3,4,7,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,1,6,3,7,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,1,6,3,7,4,2] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,1,6,4,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,1,6,4,2,7,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,1,6,4,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,1,6,4,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,1,6,4,7,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,1,6,4,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,1,6,7,2,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,1,6,7,2,4,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,1,6,7,3,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,1,6,7,3,4,2] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,1,6,7,4,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,1,6,7,4,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,1,7,2,3,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[5,1,7,2,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,1,7,2,4,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,7,2,4,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,7,2,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,1,7,2,6,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,1,7,3,2,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,7,3,2,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,1,7,3,4,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,7,3,4,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,1,7,3,6,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,1,7,3,6,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,1,7,4,2,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,1,7,4,2,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,1,7,4,3,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,7,4,3,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,7,4,6,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,1,7,4,6,3,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,1,7,6,2,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,1,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,1,7,6,3,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,1,7,6,3,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,1,7,6,4,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,1,7,6,4,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[5,2,1,3,4,6,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[5,2,1,3,4,7,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,1,3,6,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,1,3,6,7,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,1,3,7,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,1,3,7,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,1,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,1,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[5,2,1,4,6,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,1,4,6,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,1,4,7,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[5,2,1,4,7,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,1,6,3,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,1,6,3,7,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,1,6,4,3,7] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,1,6,4,7,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,1,6,7,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,1,6,7,4,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,1,7,3,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,1,7,3,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,1,7,4,3,6] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,1,7,4,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,1,7,6,3,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,1,7,6,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,2,3,1,4,6,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[5,2,3,1,4,7,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,3,1,6,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,3,1,6,7,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,3,1,7,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,3,1,7,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,3,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[5,2,3,4,1,7,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,3,4,6,1,7] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[5,2,3,4,6,7,1] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => 110000
[5,2,3,4,7,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,3,4,7,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,3,6,1,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,3,6,1,7,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,3,6,4,1,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,3,6,4,7,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,3,6,7,1,4] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,3,6,7,4,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,3,7,1,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,3,7,1,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,3,7,4,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,3,7,4,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,3,7,6,1,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,3,7,6,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,2,4,1,3,6,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,4,1,3,7,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[5,2,4,1,6,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,4,1,6,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,4,1,7,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[5,2,4,1,7,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,2,4,3,1,7,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,2,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,2,4,3,7,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,4,3,7,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,4,6,1,3,7] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,4,6,1,7,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,4,6,3,1,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,2,4,6,3,7,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,2,4,6,7,1,3] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => 101000
[5,2,4,6,7,3,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,2,4,7,1,3,6] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => 100100
[5,2,4,7,1,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,4,7,3,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,4,7,3,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,4,7,6,1,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,4,7,6,3,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,6,1,3,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,6,1,3,7,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,6,1,4,3,7] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,6,1,4,7,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,6,1,7,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,6,1,7,4,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,6,3,1,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,6,3,1,7,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,6,3,4,1,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,6,3,4,7,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,2,6,3,7,1,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,6,3,7,4,1] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,6,4,1,3,7] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,6,4,1,7,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,6,4,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,2,6,4,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,2,6,4,7,1,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,6,4,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,2,6,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,6,7,1,4,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,6,7,3,1,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,6,7,3,4,1] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,2,6,7,4,1,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,2,6,7,4,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,2,7,1,3,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,7,1,3,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,7,1,4,3,6] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,7,1,4,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,7,1,6,3,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,7,1,6,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,2,7,3,1,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,7,3,1,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,7,3,4,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,7,3,4,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,2,7,3,6,1,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,2,7,4,1,3,6] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,7,4,1,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,7,4,3,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,7,4,3,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,7,4,6,1,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,2,7,4,6,3,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,2,7,6,1,3,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,2,7,6,1,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,2,7,6,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,2,7,6,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,2,7,6,4,1,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,2,7,6,4,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[5,3,1,2,4,6,7] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => 110000
[5,3,1,2,4,7,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,3,1,2,6,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,3,1,2,6,7,4] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,3,1,2,7,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,3,1,2,7,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,3,1,4,2,6,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,1,4,2,7,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[5,3,1,4,6,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,1,4,6,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,1,4,7,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[5,3,1,4,7,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,1,6,2,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,3,1,6,2,7,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,3,1,6,4,2,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,1,6,4,7,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,1,6,7,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,3,1,6,7,4,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,1,7,2,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,3,1,7,2,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,3,1,7,4,2,6] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,1,7,4,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,1,7,6,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,3,1,7,6,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,3,2,1,4,6,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,2,1,4,7,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,2,1,6,4,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,2,1,6,7,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,2,1,7,4,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,2,1,7,6,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,2,4,1,6,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,2,4,1,7,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,2,4,6,1,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,2,4,6,7,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,2,4,7,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,2,4,7,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,2,6,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,2,6,1,7,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,2,6,4,1,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,2,6,4,7,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,2,6,7,1,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,2,6,7,4,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,2,7,1,4,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,2,7,1,6,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,2,7,4,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,2,7,4,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,2,7,6,1,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,2,7,6,4,1] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,4,1,2,6,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,4,1,2,7,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[5,3,4,1,6,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,4,1,6,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,4,1,7,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[5,3,4,1,7,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,4,2,1,6,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,4,2,1,7,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,4,2,6,1,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,4,2,7,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,4,2,7,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,4,6,1,2,7] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,4,6,1,7,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,4,6,2,1,7] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,4,6,2,7,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,4,6,7,1,2] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => 101000
[5,3,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => 111000
[5,3,4,7,1,2,6] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => 100100
[5,3,4,7,1,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,4,7,2,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,4,7,2,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,4,7,6,1,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,6,1,2,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,3,6,1,2,7,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,3,6,1,4,2,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,6,1,4,7,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,6,1,7,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,3,6,1,7,4,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,6,2,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,2,1,7,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,2,4,1,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,2,4,7,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,2,7,1,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,2,7,4,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,4,1,2,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,6,4,1,7,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,6,4,2,1,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,4,2,7,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,4,7,1,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,6,4,7,2,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,7,1,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,3,6,7,1,4,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,6,7,2,1,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,7,2,4,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,6,7,4,1,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,3,6,7,4,2,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,3,7,1,2,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,3,7,1,2,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,3,7,1,4,2,6] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,7,1,4,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,7,1,6,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,3,7,1,6,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,3,7,2,1,4,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,7,2,1,6,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,7,2,4,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,7,2,4,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,7,2,6,1,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,7,2,6,4,1] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,7,4,1,2,6] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,7,4,1,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,7,4,2,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,7,4,2,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,7,4,6,1,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,3,7,4,6,2,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,3,7,6,1,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,3,7,6,1,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,3,7,6,2,1,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,7,6,2,4,1] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,3,7,6,4,1,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,3,7,6,4,2,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[5,4,1,2,3,6,7] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => 110000
[5,4,1,2,3,7,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,4,1,2,6,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,4,1,2,6,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,4,1,2,7,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,4,1,2,7,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,4,1,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,4,1,3,2,7,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,1,3,6,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,4,1,3,6,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,4,1,3,7,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,1,3,7,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,1,6,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,4,1,6,2,7,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,4,1,6,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,1,6,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,1,6,7,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,4,1,6,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,1,7,2,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,4,1,7,2,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,4,1,7,3,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,1,7,3,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,1,7,6,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,4,1,7,6,3,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,2,1,3,6,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,4,2,1,3,7,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,2,1,6,3,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,2,1,6,7,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,2,1,7,3,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,2,1,7,6,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,2,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,4,2,3,1,7,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,2,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,4,2,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => 111000
[5,4,2,3,7,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,2,3,7,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,2,6,1,3,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,2,6,1,7,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,2,6,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,2,6,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,2,6,7,1,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,2,6,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,2,7,1,3,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,2,7,1,6,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,2,7,3,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,2,7,3,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,2,7,6,1,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,2,7,6,3,1] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,3,1,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => 111000
[5,4,3,1,2,7,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,3,1,6,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,3,1,6,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,3,1,7,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,3,1,7,6,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,3,2,6,1,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,3,2,6,7,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,3,2,7,1,6] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,3,2,7,6,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,3,6,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,3,6,1,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,3,6,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,3,6,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,3,6,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,3,6,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,3,7,1,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,3,7,1,6,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,3,7,2,1,6] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,3,7,2,6,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,3,7,6,1,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,3,7,6,2,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,6,1,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,4,6,1,2,7,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,4,6,1,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,6,1,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,6,1,7,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,4,6,1,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,6,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,6,2,1,7,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,6,2,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,6,2,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,6,2,7,1,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,6,2,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,6,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,6,3,1,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,6,3,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,6,3,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,6,3,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,6,3,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,6,7,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,4,6,7,1,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,6,7,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,6,7,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,4,6,7,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,4,6,7,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,4,7,1,2,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,4,7,1,2,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,4,7,1,3,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,7,1,3,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,7,1,6,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,4,7,1,6,3,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,7,2,1,3,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,7,2,1,6,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,7,2,3,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,7,2,3,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,4,7,2,6,1,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,7,2,6,3,1] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,7,3,1,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,4,7,3,1,6,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,7,3,2,1,6] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,7,3,2,6,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,7,3,6,1,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,7,3,6,2,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,4,7,6,1,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,4,7,6,1,3,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,7,6,2,1,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,7,6,2,3,1] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,4,7,6,3,1,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,4,7,6,3,2,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,6,1,2,3,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 010000
[5,6,1,2,3,7,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,6,1,2,4,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,6,1,2,4,7,3] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,6,1,2,7,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,6,1,2,7,4,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,1,3,2,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,6,1,3,2,7,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,1,3,4,2,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,6,1,3,4,7,2] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,6,1,3,7,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,1,3,7,4,2] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,1,4,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,6,1,4,2,7,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,1,4,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,1,4,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,1,4,7,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,1,4,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,1,7,2,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,6,1,7,2,4,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,1,7,3,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,1,7,3,4,2] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,1,7,4,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,1,7,4,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,2,1,3,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,6,2,1,3,7,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,2,1,4,3,7] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,2,1,4,7,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,2,1,7,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,2,1,7,4,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,2,3,1,4,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,6,2,3,1,7,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,2,3,4,1,7] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,6,2,3,4,7,1] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => 101000
[5,6,2,3,7,1,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,2,3,7,4,1] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,2,4,1,3,7] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,2,4,1,7,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,2,4,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,2,4,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,2,4,7,1,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,2,4,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,2,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,2,7,1,4,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,2,7,3,1,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,2,7,3,4,1] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,2,7,4,1,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,2,7,4,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,3,1,2,4,7] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => 101000
[5,6,3,1,2,7,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,3,1,4,2,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,3,1,4,7,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,3,1,7,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,3,1,7,4,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,3,2,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,2,1,7,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,2,4,1,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,2,4,7,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,2,7,1,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,2,7,4,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,3,4,1,7,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,3,4,2,1,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,4,2,7,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,4,7,1,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,3,4,7,2,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,7,1,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,3,7,1,4,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,3,7,2,1,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,7,2,4,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,3,7,4,1,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,3,7,4,2,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,4,1,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => 101000
[5,6,4,1,2,7,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,4,1,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,4,1,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,4,1,7,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,4,1,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,4,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,4,2,1,7,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,4,2,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,4,2,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,4,2,7,1,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,4,2,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,4,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,4,3,1,7,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,4,3,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,6,4,3,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,6,4,3,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,4,3,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,6,4,7,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,4,7,1,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,4,7,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,4,7,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,4,7,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,4,7,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,6,7,1,2,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 001000
[5,6,7,1,2,4,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,7,1,3,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,7,1,3,4,2] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,7,1,4,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,7,1,4,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,7,2,1,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,7,2,1,4,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,7,2,3,1,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,7,2,3,4,1] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 100100
[5,6,7,2,4,1,3] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => 010100
[5,6,7,2,4,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,7,3,1,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 100100
[5,6,7,3,1,4,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,7,3,2,1,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,7,3,2,4,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,7,3,4,1,2] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 010100
[5,6,7,3,4,2,1] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 110100
[5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 100100
[5,6,7,4,1,3,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,7,4,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,7,4,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => 110100
[5,6,7,4,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => 110100
[5,6,7,4,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 111100
[5,7,1,2,3,4,6] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => 010000
[5,7,1,2,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,7,1,2,4,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,7,1,2,4,6,3] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,7,1,2,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,7,1,2,6,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,7,1,3,2,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,7,1,3,2,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,7,1,3,4,2,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,7,1,3,4,6,2] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,7,1,3,6,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,7,1,3,6,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,7,1,4,2,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,7,1,4,2,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,7,1,4,3,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,7,1,4,3,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,7,1,4,6,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,7,1,4,6,3,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,7,1,6,2,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,7,1,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,7,1,6,3,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,7,1,6,3,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,7,1,6,4,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,7,1,6,4,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[5,7,2,1,3,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,7,2,1,3,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,7,2,1,4,3,6] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,7,2,1,4,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,7,2,1,6,3,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,7,2,1,6,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,7,2,3,1,4,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,7,2,3,1,6,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,7,2,3,4,1,6] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,7,2,3,4,6,1] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => 101000
[5,7,2,3,6,1,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,7,2,3,6,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,7,2,4,1,3,6] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,7,2,4,1,6,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,7,2,4,3,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,7,2,4,3,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,7,2,4,6,1,3] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => 010100
[5,7,2,4,6,3,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,7,2,6,1,3,4] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => 010100
[5,7,2,6,1,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,7,2,6,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,7,2,6,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,7,2,6,4,1,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,7,2,6,4,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[5,7,3,1,2,4,6] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => 101000
[5,7,3,1,2,6,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,7,3,1,4,2,6] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,7,3,1,4,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,7,3,1,6,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,7,3,1,6,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,7,3,2,1,4,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,7,3,2,1,6,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,7,3,2,4,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,7,3,2,4,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,7,3,2,6,1,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,7,3,2,6,4,1] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,7,3,4,1,2,6] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,7,3,4,1,6,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,7,3,4,2,1,6] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,7,3,4,2,6,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,7,3,4,6,1,2] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => 010100
[5,7,3,4,6,2,1] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => 110100
[5,7,3,6,1,2,4] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => 010100
[5,7,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,7,3,6,2,1,4] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,7,3,6,2,4,1] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => 101010
[5,7,3,6,4,1,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,7,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[5,7,4,1,2,3,6] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => 101000
[5,7,4,1,2,6,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,7,4,1,3,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,7,4,1,3,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,7,4,1,6,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,7,4,1,6,3,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,7,4,2,1,3,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,7,4,2,1,6,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,7,4,2,3,1,6] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,7,4,2,3,6,1] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => 110100
[5,7,4,2,6,1,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,7,4,2,6,3,1] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,7,4,3,1,2,6] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => 110100
[5,7,4,3,1,6,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,7,4,3,2,1,6] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,7,4,3,2,6,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,7,4,3,6,1,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,7,4,3,6,2,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,7,4,6,1,2,3] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => 010100
[5,7,4,6,1,3,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,7,4,6,2,1,3] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,7,4,6,2,3,1] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => 101010
[5,7,4,6,3,1,2] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => 101010
[5,7,4,6,3,2,1] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => 111010
[5,7,6,1,2,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[5,7,6,1,2,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,7,6,1,3,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,7,6,1,3,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,7,6,1,4,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,7,6,1,4,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[5,7,6,2,1,3,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,7,6,2,1,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,7,6,2,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,7,6,2,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[5,7,6,2,4,1,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[5,7,6,2,4,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[5,7,6,3,1,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[5,7,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,7,6,3,2,1,4] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[5,7,6,3,2,4,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[5,7,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[5,7,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[5,7,6,4,1,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[5,7,6,4,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[5,7,6,4,2,1,3] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[5,7,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[5,7,6,4,3,1,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[5,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => 111110
[6,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 100000
[6,1,2,3,4,7,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[6,1,2,3,5,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[6,1,2,3,5,7,4] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[6,1,2,3,7,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[6,1,2,3,7,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,2,4,3,5,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[6,1,2,4,3,7,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,2,4,5,3,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[6,1,2,4,5,7,3] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[6,1,2,4,7,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,2,4,7,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,2,5,3,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[6,1,2,5,3,7,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,2,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,1,2,5,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,1,2,5,7,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,2,5,7,4,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,1,2,7,3,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[6,1,2,7,3,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,2,7,4,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,2,7,4,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,2,7,5,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,2,7,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,3,2,4,5,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[6,1,3,2,4,7,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,3,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,1,3,2,5,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,1,3,2,7,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,3,2,7,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,1,3,4,2,5,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[6,1,3,4,2,7,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,3,4,5,2,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[6,1,3,4,5,7,2] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[6,1,3,4,7,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,3,4,7,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,3,5,2,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,1,3,5,2,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,1,3,5,4,2,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,1,3,5,4,7,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,1,3,5,7,2,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,1,3,5,7,4,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,1,3,7,2,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,3,7,2,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,1,3,7,4,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,3,7,4,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,3,7,5,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,1,3,7,5,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,4,2,3,5,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[6,1,4,2,3,7,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,4,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,1,4,2,5,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,1,4,2,7,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,4,2,7,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,1,4,3,2,5,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,1,4,3,2,7,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,4,3,5,2,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,1,4,3,5,7,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,1,4,3,7,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,4,3,7,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,4,5,2,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,1,4,5,2,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,1,4,5,3,2,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,1,4,5,3,7,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,1,4,5,7,2,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,1,4,5,7,3,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,1,4,7,2,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,4,7,2,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,1,4,7,3,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,4,7,3,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,4,7,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,1,4,7,5,3,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,5,2,3,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[6,1,5,2,3,7,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,5,2,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,1,5,2,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,1,5,2,7,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,5,2,7,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,5,3,2,4,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,1,5,3,2,7,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,5,3,4,2,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,1,5,3,4,7,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,1,5,3,7,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,5,3,7,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,5,4,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,1,5,4,2,7,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,1,5,4,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,1,5,4,7,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,1,5,7,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,5,7,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,5,7,3,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,5,7,3,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,5,7,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,5,7,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,1,7,2,3,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[6,1,7,2,3,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,7,2,4,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,7,2,4,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,7,2,5,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,7,2,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,7,3,2,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,7,3,2,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,1,7,3,4,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,7,3,4,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,1,7,3,5,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,1,7,3,5,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,7,4,2,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,1,7,4,2,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,1,7,4,3,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,7,4,3,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,7,4,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,1,7,4,5,3,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,1,7,5,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,1,7,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,7,5,3,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,7,5,3,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,1,7,5,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,1,7,5,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,2,1,3,4,5,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[6,2,1,3,4,7,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,1,3,5,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,1,3,5,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,1,3,7,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,1,3,7,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,1,4,3,5,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,1,4,3,7,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[6,2,1,4,5,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,1,4,5,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,1,4,7,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[6,2,1,4,7,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,1,5,3,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,1,5,3,7,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[6,2,1,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,1,5,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,1,5,7,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[6,2,1,5,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,1,7,3,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,1,7,3,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,1,7,4,3,5] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,1,7,4,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,1,7,5,3,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,1,7,5,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,2,3,1,4,5,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[6,2,3,1,4,7,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,3,1,5,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,3,1,5,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,3,1,7,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,3,1,7,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,3,4,1,5,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[6,2,3,4,1,7,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,3,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[6,2,3,4,5,7,1] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => 110000
[6,2,3,4,7,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,3,4,7,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,3,5,1,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,3,5,1,7,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,2,3,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,2,3,5,7,1,4] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,3,5,7,4,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,2,3,7,1,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,3,7,1,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,3,7,4,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,3,7,4,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,3,7,5,1,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,3,7,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,4,1,3,5,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,4,1,3,7,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[6,2,4,1,5,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,4,1,5,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,4,1,7,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[6,2,4,1,7,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,4,3,1,5,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,2,4,3,1,7,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,4,3,5,1,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,2,4,3,5,7,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,2,4,3,7,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,4,3,7,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,4,5,1,3,7] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,4,5,1,7,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,4,5,3,1,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,2,4,5,3,7,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,2,4,5,7,1,3] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => 101000
[6,2,4,5,7,3,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,2,4,7,1,3,5] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => 100100
[6,2,4,7,1,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,4,7,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,4,7,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,4,7,5,1,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,4,7,5,3,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,5,1,3,4,7] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => 101000
[6,2,5,1,3,7,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[6,2,5,1,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,5,1,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,5,1,7,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[6,2,5,1,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,5,3,1,4,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,2,5,3,1,7,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,5,3,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,2,5,3,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,2,5,3,7,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,5,3,7,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,5,4,1,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,5,4,1,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,2,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,2,5,4,7,1,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,5,4,7,3,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,2,5,7,1,3,4] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => 100100
[6,2,5,7,1,4,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,5,7,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,5,7,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,5,7,4,1,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,2,5,7,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,2,7,1,3,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,7,1,3,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,7,1,4,3,5] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,7,1,4,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,7,1,5,3,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,7,1,5,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,2,7,3,1,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,7,3,1,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,7,3,4,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,7,3,4,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,2,7,3,5,1,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,7,3,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,7,4,1,3,5] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,7,4,1,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,7,4,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,7,4,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,7,4,5,1,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,2,7,4,5,3,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,2,7,5,1,3,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,2,7,5,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,2,7,5,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,7,5,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,2,7,5,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,2,7,5,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,3,1,2,4,5,7] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => 110000
[6,3,1,2,4,7,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,3,1,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,3,1,2,5,7,4] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,3,1,2,7,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,3,1,2,7,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,3,1,4,2,5,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,1,4,2,7,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[6,3,1,4,5,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,1,4,5,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,1,4,7,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[6,3,1,4,7,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,1,5,2,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,3,1,5,2,7,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[6,3,1,5,4,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,1,5,4,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,1,5,7,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[6,3,1,5,7,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,1,7,2,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,3,1,7,2,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,3,1,7,4,2,5] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,1,7,4,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,1,7,5,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,3,1,7,5,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,3,2,1,4,5,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,2,1,4,7,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,2,1,5,4,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,2,1,5,7,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,2,1,7,4,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,2,1,7,5,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,2,4,1,5,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,2,4,1,7,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,2,4,5,1,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,2,4,5,7,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,2,4,7,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,2,4,7,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,2,5,1,4,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,2,5,1,7,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,2,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,2,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,2,5,7,1,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,2,5,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,2,7,1,4,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,2,7,1,5,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,2,7,4,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,2,7,4,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,2,7,5,1,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,2,7,5,4,1] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,4,1,2,5,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,4,1,2,7,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[6,3,4,1,5,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,4,1,5,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,4,1,7,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[6,3,4,1,7,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,4,2,1,5,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,4,2,1,7,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,4,2,5,1,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,4,2,5,7,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,4,2,7,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,4,2,7,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,4,5,1,2,7] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,4,5,1,7,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,4,5,2,1,7] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,4,5,2,7,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,4,5,7,1,2] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => 101000
[6,3,4,5,7,2,1] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => 111000
[6,3,4,7,1,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 100100
[6,3,4,7,1,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,4,7,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,4,7,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,4,7,5,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,4,7,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,5,1,2,4,7] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => 101000
[6,3,5,1,2,7,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[6,3,5,1,4,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,5,1,4,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,5,1,7,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[6,3,5,1,7,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,5,2,1,4,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,5,2,1,7,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,5,2,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,5,2,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,5,2,7,1,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,5,2,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,5,4,1,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,5,4,1,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,3,5,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,3,5,4,7,1,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,3,5,7,1,2,4] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => 100100
[6,3,5,7,1,4,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,5,7,2,1,4] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,5,7,2,4,1] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => 110100
[6,3,5,7,4,1,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,3,5,7,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,3,7,1,2,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,3,7,1,2,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,3,7,1,4,2,5] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,7,1,4,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,7,1,5,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,3,7,1,5,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,3,7,2,1,4,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,7,2,1,5,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,7,2,4,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,7,2,4,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,7,2,5,1,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,7,2,5,4,1] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,7,4,1,2,5] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,7,4,1,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,7,4,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,7,4,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,7,4,5,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,3,7,4,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,3,7,5,1,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,3,7,5,1,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,3,7,5,2,1,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,7,5,2,4,1] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,3,7,5,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,3,7,5,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,4,1,2,3,5,7] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => 110000
[6,4,1,2,3,7,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,4,1,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,4,1,2,5,7,3] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,4,1,2,7,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,4,1,2,7,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,4,1,3,2,5,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,4,1,3,2,7,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,1,3,5,2,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,4,1,3,5,7,2] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,4,1,3,7,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,1,3,7,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,1,5,2,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,4,1,5,2,7,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[6,4,1,5,3,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,1,5,3,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,1,5,7,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[6,4,1,5,7,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,1,7,2,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,4,1,7,2,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,4,1,7,3,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,1,7,3,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,1,7,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,4,1,7,5,3,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,2,1,3,5,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,4,2,1,3,7,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,2,1,5,3,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,2,1,5,7,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,2,1,7,3,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,2,1,7,5,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,2,3,1,5,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,4,2,3,1,7,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,2,3,5,1,7] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,4,2,3,5,7,1] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => 111000
[6,4,2,3,7,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,2,3,7,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,2,5,1,3,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,2,5,1,7,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,2,5,3,1,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,2,5,3,7,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,2,5,7,1,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,2,5,7,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,2,7,1,3,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,2,7,1,5,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,2,7,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,2,7,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,2,7,5,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,2,7,5,3,1] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,3,1,2,5,7] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => 111000
[6,4,3,1,2,7,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,3,1,5,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,3,1,5,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,3,1,7,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,3,1,7,5,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,3,2,1,5,7] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,3,2,1,7,5] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,3,2,5,1,7] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,3,2,5,7,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,3,2,7,1,5] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,3,2,7,5,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,3,5,1,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,3,5,1,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,3,5,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,3,5,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,3,5,7,1,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,3,5,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,3,7,1,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,3,7,1,5,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,3,7,2,1,5] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,3,7,2,5,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,3,7,5,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,3,7,5,2,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,5,1,2,3,7] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => 101000
[6,4,5,1,2,7,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[6,4,5,1,3,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,5,1,3,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,5,1,7,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[6,4,5,1,7,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,5,2,1,3,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,5,2,1,7,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,5,2,3,1,7] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,5,2,3,7,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,5,2,7,1,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,5,2,7,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,5,3,1,2,7] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,5,3,1,7,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,5,3,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,5,3,7,1,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,5,3,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,5,7,1,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 100100
[6,4,5,7,1,3,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,5,7,2,1,3] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,5,7,2,3,1] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => 110100
[6,4,5,7,3,1,2] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => 110100
[6,4,5,7,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => 111100
[6,4,7,1,2,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,4,7,1,2,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,4,7,1,3,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,7,1,3,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,7,1,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,4,7,1,5,3,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,7,2,1,3,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,7,2,1,5,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,7,2,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,7,2,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,7,2,5,3,1] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,7,3,1,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,4,7,3,1,5,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,7,3,2,1,5] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,7,3,2,5,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,7,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,7,3,5,2,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,4,7,5,1,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,4,7,5,1,3,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,7,5,2,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,7,5,2,3,1] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,4,7,5,3,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,4,7,5,3,2,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,5,1,2,3,4,7] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => 110000
[6,5,1,2,3,7,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,5,1,2,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,5,1,2,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,5,1,2,7,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,5,1,2,7,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,1,3,2,4,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,5,1,3,2,7,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,1,3,4,2,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,5,1,3,4,7,2] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,5,1,3,7,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,1,3,7,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,1,4,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,5,1,4,2,7,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,1,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,5,1,4,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,5,1,4,7,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,1,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,5,1,7,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,5,1,7,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,1,7,3,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,1,7,3,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,1,7,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,1,7,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,2,1,3,4,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,5,2,1,3,7,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,2,1,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,5,2,1,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,5,2,1,7,3,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,2,1,7,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,5,2,3,1,4,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,5,2,3,1,7,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,2,3,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,5,2,3,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => 111000
[6,5,2,3,7,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,2,3,7,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,2,4,1,3,7] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,5,2,4,1,7,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,5,2,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,5,2,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,5,2,4,7,1,3] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => 110100
[6,5,2,4,7,3,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,5,2,7,1,3,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,2,7,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,5,2,7,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,2,7,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,2,7,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,5,2,7,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,3,1,2,4,7] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => 111000
[6,5,3,1,2,7,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,3,1,4,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,5,3,1,4,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,5,3,1,7,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,3,1,7,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,5,3,2,1,4,7] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,5,3,2,1,7,4] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,3,2,4,1,7] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,5,3,2,4,7,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,5,3,2,7,1,4] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,3,2,7,4,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,3,4,1,2,7] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,5,3,4,1,7,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,5,3,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,5,3,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,5,3,4,7,1,2] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => 110100
[6,5,3,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => 111100
[6,5,3,7,1,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,3,7,1,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,5,3,7,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,3,7,2,4,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,3,7,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,5,3,7,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,4,1,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => 111000
[6,5,4,1,2,7,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,4,1,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,5,4,1,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,5,4,1,7,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,4,1,7,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,4,2,1,3,7] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,5,4,2,1,7,3] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,4,2,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,5,4,2,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => 111100
[6,5,4,2,7,1,3] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,4,2,7,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,4,3,1,2,7] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => 111100
[6,5,4,3,1,7,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 111110
[6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 111110
[6,5,4,3,7,1,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,4,3,7,2,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 111110
[6,5,4,7,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,4,7,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,4,7,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,4,7,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,4,7,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,4,7,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 111110
[6,5,7,1,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,5,7,1,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,7,1,3,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,7,1,3,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,7,1,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,7,1,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,7,2,1,3,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,7,2,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,5,7,2,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,7,2,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,5,7,2,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,5,7,2,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,7,3,1,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,5,7,3,1,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,5,7,3,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,7,3,2,4,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,7,3,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,5,7,3,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,5,7,4,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,5,7,4,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,7,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,7,4,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,5,7,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,5,7,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 111110
[6,7,1,2,3,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 010000
[6,7,1,2,3,5,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,7,1,2,4,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,7,1,2,4,5,3] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,7,1,2,5,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,7,1,2,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,7,1,3,2,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,7,1,3,2,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,7,1,3,4,2,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,7,1,3,4,5,2] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,7,1,3,5,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,7,1,3,5,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,7,1,4,2,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,7,1,4,2,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,7,1,4,3,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,7,1,4,3,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,7,1,4,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,7,1,4,5,3,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,7,1,5,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,7,1,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,7,1,5,3,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,7,1,5,3,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,7,1,5,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,7,1,5,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,7,2,1,3,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,7,2,1,3,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,7,2,1,4,3,5] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,7,2,1,4,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,7,2,1,5,3,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,7,2,1,5,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,7,2,3,1,4,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,7,2,3,1,5,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,7,2,3,4,1,5] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,7,2,3,4,5,1] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => 101000
[6,7,2,3,5,1,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,7,2,3,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,7,2,4,1,3,5] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,7,2,4,1,5,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,7,2,4,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,7,2,4,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,7,2,4,5,1,3] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => 010100
[6,7,2,4,5,3,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,7,2,5,1,3,4] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => 010100
[6,7,2,5,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,7,2,5,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,7,2,5,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,7,2,5,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,7,2,5,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,7,3,1,2,4,5] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => 101000
[6,7,3,1,2,5,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,7,3,1,4,2,5] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,7,3,1,4,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,7,3,1,5,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,7,3,1,5,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,7,3,2,1,4,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,7,3,2,1,5,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,7,3,2,4,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,7,3,2,4,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,7,3,2,5,1,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,7,3,2,5,4,1] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,7,3,4,1,2,5] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,7,3,4,1,5,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,7,3,4,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,7,3,4,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 010100
[6,7,3,4,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => 110100
[6,7,3,5,1,2,4] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => 010100
[6,7,3,5,1,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,7,3,5,2,1,4] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,7,3,5,2,4,1] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => 101010
[6,7,3,5,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,7,3,5,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,7,4,1,2,3,5] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => 101000
[6,7,4,1,2,5,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,7,4,1,3,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,7,4,1,3,5,2] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,7,4,1,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,7,4,1,5,3,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,7,4,2,1,3,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,7,4,2,1,5,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,7,4,2,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,7,4,2,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => 110100
[6,7,4,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,7,4,2,5,3,1] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,7,4,3,1,2,5] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => 110100
[6,7,4,3,1,5,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,7,4,3,2,1,5] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,7,4,3,2,5,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,7,4,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,7,4,3,5,2,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,7,4,5,1,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 010100
[6,7,4,5,1,3,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,7,4,5,2,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 101010
[6,7,4,5,3,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 101010
[6,7,4,5,3,2,1] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 111010
[6,7,5,1,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => 101000
[6,7,5,1,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,7,5,1,3,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,7,5,1,3,4,2] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,7,5,1,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,7,5,1,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,7,5,2,1,3,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,7,5,2,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,7,5,2,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,7,5,2,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => 110100
[6,7,5,2,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => 101010
[6,7,5,2,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,7,5,3,1,2,4] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => 110100
[6,7,5,3,1,4,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,7,5,3,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,7,5,3,2,4,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,7,5,3,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 101010
[6,7,5,3,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => 111010
[6,7,5,4,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => 110100
[6,7,5,4,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,7,5,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,7,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => 111010
[6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => 111010
[6,7,5,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 111110
[7,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 100000
[7,1,2,3,4,6,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[7,1,2,3,5,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[7,1,2,3,5,6,4] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[7,1,2,3,6,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[7,1,2,3,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,1,2,4,3,5,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[7,1,2,4,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,1,2,4,5,3,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[7,1,2,4,5,6,3] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[7,1,2,4,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,1,2,4,6,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,1,2,5,3,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[7,1,2,5,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,1,2,5,4,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,1,2,5,4,6,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,1,2,5,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,1,2,5,6,4,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,1,2,6,3,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[7,1,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,1,2,6,4,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,1,2,6,4,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,1,2,6,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,1,2,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,1,3,2,4,5,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[7,1,3,2,4,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,1,3,2,5,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,1,3,2,5,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,1,3,2,6,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,1,3,2,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,1,3,4,2,5,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[7,1,3,4,2,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,1,3,4,5,2,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[7,1,3,4,5,6,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[7,1,3,4,6,2,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,1,3,4,6,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,1,3,5,2,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,1,3,5,2,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,1,3,5,4,2,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,1,3,5,4,6,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,1,3,5,6,2,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,1,3,5,6,4,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,1,3,6,2,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,1,3,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,1,3,6,4,2,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,1,3,6,4,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,1,3,6,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,1,3,6,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,1,4,2,3,5,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[7,1,4,2,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,1,4,2,5,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,1,4,2,5,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,1,4,2,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,1,4,2,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,1,4,3,2,5,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,1,4,3,2,6,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,1,4,3,5,2,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,1,4,3,5,6,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,1,4,3,6,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,1,4,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,1,4,5,2,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,1,4,5,2,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,1,4,5,3,2,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,1,4,5,3,6,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,1,4,5,6,2,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,1,4,5,6,3,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,1,4,6,2,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,1,4,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,1,4,6,3,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,1,4,6,3,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,1,4,6,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,1,4,6,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,1,5,2,3,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[7,1,5,2,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,1,5,2,4,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,1,5,2,4,6,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,1,5,2,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,1,5,2,6,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,1,5,3,2,4,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,1,5,3,2,6,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,1,5,3,4,2,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,1,5,3,4,6,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,1,5,3,6,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,1,5,3,6,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,1,5,4,2,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,1,5,4,2,6,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,1,5,4,3,2,6] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,1,5,4,3,6,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,1,5,4,6,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,1,5,4,6,3,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,1,5,6,2,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,1,5,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,1,5,6,3,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,1,5,6,3,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,1,5,6,4,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,1,5,6,4,3,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,1,6,2,3,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[7,1,6,2,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,1,6,2,4,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,1,6,2,4,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,1,6,2,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,1,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,1,6,3,2,4,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,1,6,3,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,1,6,3,4,2,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,1,6,3,4,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,1,6,3,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,1,6,3,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,1,6,4,2,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,1,6,4,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,1,6,4,3,2,5] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,1,6,4,3,5,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,1,6,4,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,1,6,4,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,1,6,5,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,1,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,1,6,5,3,2,4] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,1,6,5,3,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,1,6,5,4,2,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 111110
[7,2,1,3,4,5,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[7,2,1,3,4,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,1,3,5,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,1,3,5,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,1,3,6,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,1,3,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,1,4,3,5,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,1,4,3,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[7,2,1,4,5,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,1,4,5,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,1,4,6,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[7,2,1,4,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,1,5,3,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,1,5,3,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[7,2,1,5,4,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,1,5,4,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,1,5,6,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[7,2,1,5,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,1,6,3,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,1,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,1,6,4,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,1,6,4,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,1,6,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,2,3,1,4,5,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[7,2,3,1,4,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,3,1,5,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,3,1,5,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,3,1,6,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,3,1,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,3,4,1,5,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[7,2,3,4,1,6,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,3,4,5,1,6] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[7,2,3,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 110000
[7,2,3,4,6,1,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,3,4,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,2,3,5,1,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,3,5,1,6,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,3,5,4,1,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,2,3,5,4,6,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,2,3,5,6,1,4] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,3,5,6,4,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,2,3,6,1,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,3,6,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,3,6,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,2,3,6,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,2,3,6,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,3,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,2,4,1,3,5,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,4,1,3,6,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[7,2,4,1,5,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,4,1,5,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,4,1,6,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[7,2,4,1,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,4,3,1,5,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,2,4,3,1,6,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,2,4,3,5,1,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,2,4,3,5,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,2,4,3,6,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,2,4,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,2,4,5,1,3,6] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,4,5,1,6,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,4,5,3,1,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,2,4,5,3,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,2,4,5,6,1,3] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => 101000
[7,2,4,5,6,3,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,2,4,6,1,3,5] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => 100100
[7,2,4,6,1,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,4,6,3,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,2,4,6,3,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,2,4,6,5,1,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,4,6,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,2,5,1,3,4,6] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => 101000
[7,2,5,1,3,6,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[7,2,5,1,4,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,5,1,4,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,5,1,6,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[7,2,5,1,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,5,3,1,4,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,2,5,3,1,6,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,2,5,3,4,1,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,2,5,3,4,6,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,2,5,3,6,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,2,5,3,6,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,2,5,4,1,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,5,4,1,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,5,4,3,1,6] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,2,5,4,3,6,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,2,5,4,6,1,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,5,4,6,3,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,2,5,6,1,3,4] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => 100100
[7,2,5,6,1,4,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,5,6,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,2,5,6,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,2,5,6,4,1,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,2,5,6,4,3,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,2,6,1,3,4,5] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => 101000
[7,2,6,1,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,6,1,4,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,6,1,4,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,6,1,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,6,1,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,2,6,3,1,4,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,2,6,3,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,6,3,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,2,6,3,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,2,6,3,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,2,6,4,1,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,6,4,1,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,6,4,3,1,5] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,2,6,4,3,5,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,2,6,4,5,1,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,2,6,4,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,2,6,5,1,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,2,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,2,6,5,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,2,6,5,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,2,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => 111110
[7,3,1,2,4,5,6] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 110000
[7,3,1,2,4,6,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,3,1,2,5,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,3,1,2,5,6,4] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,3,1,2,6,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,3,1,2,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,3,1,4,2,5,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,1,4,2,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[7,3,1,4,5,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,1,4,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,1,4,6,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[7,3,1,4,6,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,1,5,2,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,3,1,5,2,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[7,3,1,5,4,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,1,5,4,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,1,5,6,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[7,3,1,5,6,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,1,6,2,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,3,1,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,3,1,6,4,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,1,6,4,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,1,6,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,3,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,3,2,1,4,5,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,2,1,4,6,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,2,1,5,4,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,2,1,5,6,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,2,1,6,4,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,2,1,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[7,3,2,4,1,5,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,2,4,1,6,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,2,4,5,1,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,2,4,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,2,4,6,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,2,4,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,2,5,1,4,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,2,5,1,6,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,2,5,4,1,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,2,5,4,6,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,2,5,6,1,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,2,5,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,2,6,1,4,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,2,6,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[7,3,2,6,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,2,6,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,2,6,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[7,3,2,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,3,4,1,2,5,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,4,1,2,6,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[7,3,4,1,5,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,4,1,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,4,1,6,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[7,3,4,1,6,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,4,2,1,5,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,4,2,1,6,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,4,2,5,1,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,4,2,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,4,2,6,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,4,2,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,4,5,1,2,6] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,4,5,1,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,4,5,2,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,4,5,6,1,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 101000
[7,3,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 111000
[7,3,4,6,1,2,5] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => 100100
[7,3,4,6,1,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,4,6,2,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,4,6,2,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,4,6,5,1,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,4,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,3,5,1,2,4,6] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => 101000
[7,3,5,1,2,6,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[7,3,5,1,4,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,5,1,4,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,5,1,6,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[7,3,5,1,6,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,5,2,1,4,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,5,2,1,6,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,5,2,4,1,6] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,5,2,4,6,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,5,2,6,1,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,5,2,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,5,4,1,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,5,4,1,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,5,4,2,1,6] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,3,5,4,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,3,5,4,6,1,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,5,4,6,2,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,3,5,6,1,2,4] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => 100100
[7,3,5,6,1,4,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,5,6,2,1,4] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,5,6,2,4,1] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => 110100
[7,3,5,6,4,1,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,3,5,6,4,2,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,3,6,1,2,4,5] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => 101000
[7,3,6,1,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,3,6,1,4,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,6,1,4,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,6,1,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,3,6,1,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,3,6,2,1,4,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[7,3,6,2,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,6,2,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => 110100
[7,3,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => 101010
[7,3,6,2,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,3,6,4,1,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,6,4,1,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,6,4,2,1,5] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,3,6,4,2,5,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,3,6,4,5,1,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,3,6,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,3,6,5,1,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,3,6,5,1,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,3,6,5,2,1,4] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,3,6,5,2,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,3,6,5,4,1,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => 111110
[7,4,1,2,3,5,6] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 110000
[7,4,1,2,3,6,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,4,1,2,5,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,4,1,2,5,6,3] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,4,1,2,6,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,4,1,2,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,4,1,3,2,5,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,4,1,3,2,6,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,1,3,5,2,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,4,1,3,5,6,2] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,4,1,3,6,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,1,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,1,5,2,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,4,1,5,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[7,4,1,5,3,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,1,5,3,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,1,5,6,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[7,4,1,5,6,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,1,6,2,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,4,1,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,4,1,6,3,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,1,6,3,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,1,6,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,4,1,6,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,4,2,1,3,5,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,4,2,1,3,6,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,2,1,5,3,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,2,1,5,6,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,2,1,6,3,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,2,1,6,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[7,4,2,3,1,5,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,4,2,3,1,6,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,2,3,5,1,6] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,4,2,3,5,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 111000
[7,4,2,3,6,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,2,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,2,5,1,3,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,2,5,1,6,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,2,5,3,1,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,2,5,3,6,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,2,5,6,1,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,2,5,6,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,2,6,1,3,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,2,6,1,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[7,4,2,6,3,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,2,6,3,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,2,6,5,1,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[7,4,2,6,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,4,3,1,2,5,6] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => 111000
[7,4,3,1,2,6,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,3,1,5,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,3,1,5,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,3,1,6,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,3,1,6,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[7,4,3,2,1,5,6] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,3,2,1,6,5] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,3,2,5,1,6] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,3,2,5,6,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,3,2,6,1,5] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,3,2,6,5,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,3,5,1,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,3,5,1,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,3,5,2,1,6] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,3,5,2,6,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,3,5,6,1,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,3,5,6,2,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,3,6,1,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,3,6,1,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[7,4,3,6,2,1,5] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,3,6,2,5,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,3,6,5,1,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[7,4,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,5,1,2,3,6] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => 101000
[7,4,5,1,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[7,4,5,1,3,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,5,1,3,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,5,1,6,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[7,4,5,1,6,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,5,2,1,3,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,5,2,1,6,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,5,2,3,1,6] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,5,2,3,6,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,5,2,6,1,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,5,2,6,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,5,3,1,2,6] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,5,3,1,6,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,5,3,2,1,6] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,5,3,2,6,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,5,3,6,1,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,5,3,6,2,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,5,6,1,2,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 100100
[7,4,5,6,1,3,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,5,6,2,1,3] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,5,6,2,3,1] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => 110100
[7,4,5,6,3,1,2] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => 110100
[7,4,5,6,3,2,1] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => 111100
[7,4,6,1,2,3,5] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => 101000
[7,4,6,1,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,4,6,1,3,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,6,1,3,5,2] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,6,1,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,4,6,1,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,4,6,2,1,3,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,6,2,1,5,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[7,4,6,2,3,1,5] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,6,2,3,5,1] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => 110100
[7,4,6,2,5,1,3] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => 101010
[7,4,6,2,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,4,6,3,1,2,5] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => 110100
[7,4,6,3,1,5,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[7,4,6,3,2,1,5] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,6,3,2,5,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,6,3,5,1,2] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => 101010
[7,4,6,3,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => 111010
[7,4,6,5,1,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,4,6,5,1,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,4,6,5,2,1,3] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,4,6,5,2,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,4,6,5,3,1,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => 111110
[7,5,1,2,3,4,6] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 110000
[7,5,1,2,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,5,1,2,4,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,5,1,2,4,6,3] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,5,1,2,6,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,5,1,2,6,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,1,3,2,4,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,5,1,3,2,6,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,1,3,4,2,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,5,1,3,4,6,2] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,5,1,3,6,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,1,3,6,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,1,4,2,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,5,1,4,2,6,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,1,4,3,2,6] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,5,1,4,3,6,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,5,1,4,6,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,1,4,6,3,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,5,1,6,2,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,5,1,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,1,6,3,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,1,6,3,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,1,6,4,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,1,6,4,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,2,1,3,4,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,5,2,1,3,6,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,2,1,4,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,5,2,1,4,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,5,2,1,6,3,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,2,1,6,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[7,5,2,3,1,4,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,5,2,3,1,6,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,2,3,4,1,6] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,5,2,3,4,6,1] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => 111000
[7,5,2,3,6,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,2,3,6,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,2,4,1,3,6] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,5,2,4,1,6,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,5,2,4,3,1,6] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,5,2,4,3,6,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,5,2,4,6,1,3] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => 110100
[7,5,2,4,6,3,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,5,2,6,1,3,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,2,6,1,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[7,5,2,6,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,2,6,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,2,6,4,1,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[7,5,2,6,4,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,3,1,2,4,6] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => 111000
[7,5,3,1,2,6,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,3,1,4,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,5,3,1,4,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,5,3,1,6,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,3,1,6,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[7,5,3,2,1,4,6] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,5,3,2,1,6,4] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,3,2,4,1,6] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,5,3,2,4,6,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,5,3,2,6,1,4] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,3,2,6,4,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,3,4,1,2,6] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,5,3,4,1,6,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,5,3,4,2,1,6] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,5,3,4,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,5,3,4,6,1,2] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => 110100
[7,5,3,4,6,2,1] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => 111100
[7,5,3,6,1,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[7,5,3,6,2,1,4] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,3,6,2,4,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,3,6,4,1,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[7,5,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,4,1,2,3,6] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => 111000
[7,5,4,1,2,6,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,4,1,3,2,6] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,5,4,1,3,6,2] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,5,4,1,6,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,4,1,6,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,4,2,1,3,6] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,5,4,2,1,6,3] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,4,2,3,1,6] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,5,4,2,3,6,1] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => 111100
[7,5,4,2,6,1,3] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,4,2,6,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,4,3,1,2,6] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => 111100
[7,5,4,3,1,6,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => 111110
[7,5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => 111110
[7,5,4,3,6,1,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => 111110
[7,5,4,6,1,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,4,6,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,4,6,2,1,3] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,4,6,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,4,6,3,1,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => 111110
[7,5,6,1,2,3,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 101000
[7,5,6,1,2,4,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,6,1,3,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,6,1,3,4,2] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,6,1,4,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,6,1,4,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,6,2,1,3,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,6,2,1,4,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[7,5,6,2,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,6,2,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => 110100
[7,5,6,2,4,1,3] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => 101010
[7,5,6,2,4,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,6,3,1,2,4] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => 110100
[7,5,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[7,5,6,3,2,1,4] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,6,3,2,4,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 101010
[7,5,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => 111010
[7,5,6,4,1,2,3] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => 110100
[7,5,6,4,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,6,4,2,1,3] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => 111010
[7,5,6,4,3,1,2] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => 111010
[7,5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => 111110
[7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 110000
[7,6,1,2,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,6,1,2,4,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,6,1,2,4,5,3] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,6,1,2,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,6,1,2,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,6,1,3,2,4,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,6,1,3,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,6,1,3,4,2,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,6,1,3,4,5,2] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,6,1,3,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,6,1,3,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,6,1,4,2,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,6,1,4,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,6,1,4,3,2,5] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,6,1,4,3,5,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,6,1,4,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,6,1,4,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,6,1,5,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,6,1,5,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,6,1,5,3,2,4] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,6,1,5,3,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,6,1,5,4,2,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 111110
[7,6,2,1,3,4,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,6,2,1,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,6,2,1,4,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,6,2,1,4,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,6,2,1,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,6,2,1,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,6,2,3,1,4,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,6,2,3,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,6,2,3,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,6,2,3,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => 111000
[7,6,2,3,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,6,2,3,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,6,2,4,1,3,5] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,6,2,4,1,5,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,6,2,4,3,1,5] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,6,2,4,3,5,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,6,2,4,5,1,3] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => 110100
[7,6,2,4,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,6,2,5,1,3,4] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => 110100
[7,6,2,5,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,6,2,5,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,6,2,5,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,6,2,5,4,1,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => 111110
[7,6,3,1,2,4,5] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => 111000
[7,6,3,1,2,5,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,6,3,1,4,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,6,3,1,4,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,6,3,1,5,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,6,3,1,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,6,3,2,1,4,5] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,6,3,2,1,5,4] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,6,3,2,4,1,5] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,6,3,2,4,5,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,6,3,2,5,1,4] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,6,3,2,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,6,3,4,1,2,5] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,6,3,4,1,5,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,6,3,4,2,1,5] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,6,3,4,2,5,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,6,3,4,5,1,2] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => 110100
[7,6,3,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => 111100
[7,6,3,5,1,2,4] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => 110100
[7,6,3,5,1,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,6,3,5,2,1,4] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,6,3,5,2,4,1] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => 111010
[7,6,3,5,4,1,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => 111110
[7,6,4,1,2,3,5] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => 111000
[7,6,4,1,2,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,6,4,1,3,2,5] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,6,4,1,3,5,2] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,6,4,1,5,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,6,4,1,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,6,4,2,1,3,5] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,6,4,2,1,5,3] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,6,4,2,3,1,5] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,6,4,2,3,5,1] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => 111100
[7,6,4,2,5,1,3] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,6,4,2,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,6,4,3,1,2,5] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => 111100
[7,6,4,3,1,5,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => 111110
[7,6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => 111110
[7,6,4,3,5,1,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => 111110
[7,6,4,5,1,2,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 110100
[7,6,4,5,1,3,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,6,4,5,2,1,3] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,6,4,5,2,3,1] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => 111010
[7,6,4,5,3,1,2] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => 111010
[7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => 111110
[7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 111000
[7,6,5,1,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,6,5,1,3,2,4] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,6,5,1,3,4,2] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,6,5,1,4,2,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,6,5,1,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 111110
[7,6,5,2,1,3,4] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,6,5,2,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,6,5,2,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,6,5,2,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => 111100
[7,6,5,2,4,1,3] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => 111010
[7,6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => 111110
[7,6,5,3,1,2,4] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => 111100
[7,6,5,3,1,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => 111110
[7,6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => 111110
[7,6,5,3,4,1,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 111010
[7,6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => 111110
[7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 111100
[7,6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 111110
[7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => 111110
[7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => 111110
[7,6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 111110
[7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => 111111
[8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1] => 1111111
[7,8,6,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1111110
[8,6,7,5,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1111110
[7,6,8,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1111110
[6,7,8,5,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[8,7,5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => 1111110
[7,8,5,6,4,3,2,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[8,6,5,7,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1111110
[8,5,6,7,4,3,2,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[7,6,5,8,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1111110
[6,7,5,8,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[7,5,6,8,4,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[6,5,7,8,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,7,8,4,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[8,7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1111110
[7,8,6,4,5,3,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[8,6,7,4,5,3,2,1] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[8,7,5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => 1111110
[8,7,4,5,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[8,5,6,4,7,3,2,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[8,6,4,5,7,3,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[8,4,5,6,7,3,2,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[7,6,5,4,8,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1111110
[6,7,5,4,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[7,5,6,4,8,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[6,5,7,4,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,7,4,8,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[7,6,4,5,8,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[6,7,4,5,8,3,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,5,4,6,8,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[7,4,5,6,8,3,2,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[6,5,4,7,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,4,7,8,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[6,4,5,7,8,3,2,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[5,4,6,7,8,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,6,7,8,3,2,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[8,7,6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => 1111110
[8,7,5,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[7,8,5,6,3,4,2,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[8,5,6,7,3,4,2,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[6,7,5,8,3,4,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,5,7,8,3,4,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,6,7,8,3,4,2,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[8,7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1111110
[7,8,6,4,3,5,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[7,6,8,4,3,5,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[6,7,8,4,3,5,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[8,7,6,3,4,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[7,8,6,3,4,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,6,7,3,4,5,2,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[7,6,8,3,4,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[6,7,8,3,4,5,2,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[8,7,5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => 1111110
[7,8,5,4,3,6,2,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[8,7,5,3,4,6,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[7,8,5,3,4,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[8,7,4,3,5,6,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[8,7,3,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[7,8,3,4,5,6,2,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,6,5,4,3,7,2,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1111110
[8,6,4,3,5,7,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[8,5,3,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[8,4,3,5,6,7,2,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,3,4,5,6,7,2,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[7,6,5,4,3,8,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1111110
[6,7,5,4,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[7,5,6,4,3,8,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[6,5,7,4,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,7,4,3,8,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[6,7,4,5,3,8,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,5,4,6,3,8,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[7,4,5,6,3,8,2,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[6,5,4,7,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[6,4,5,7,3,8,2,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[5,4,6,7,3,8,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,6,7,3,8,2,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[7,6,5,3,4,8,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[7,6,4,3,5,8,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[7,6,3,4,5,8,2,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[7,5,4,3,6,8,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[7,5,3,4,6,8,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,3,4,5,6,8,2,1] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[6,5,4,3,7,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[6,5,3,4,7,8,2,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[6,3,4,5,7,8,2,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[5,4,3,6,7,8,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[5,3,4,6,7,8,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[4,3,5,6,7,8,2,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,5,6,7,8,2,1] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[8,7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1111110
[7,8,6,5,4,2,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[8,6,7,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[7,6,8,5,4,2,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[8,7,5,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[8,6,5,7,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[8,5,6,7,4,2,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[7,6,5,8,4,2,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[6,7,5,8,4,2,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,5,6,8,4,2,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[8,7,6,4,5,2,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[8,6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[7,6,8,4,5,2,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[8,5,6,4,7,2,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,6,4,5,7,2,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[8,4,5,6,7,2,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[7,5,6,4,8,2,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,5,7,4,8,2,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[6,7,4,5,8,2,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[4,5,6,7,8,2,3,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[8,7,6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => 1111110
[8,6,7,5,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[6,7,8,5,3,2,4,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[8,7,5,6,3,2,4,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[8,6,5,7,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[8,5,6,7,3,2,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[6,7,5,8,3,2,4,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,6,7,8,3,2,4,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[8,7,6,5,2,3,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[7,6,8,5,2,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,7,8,5,2,3,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[8,7,5,6,2,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,8,5,6,2,3,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[8,5,6,7,2,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[7,6,5,8,2,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,7,5,8,2,3,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[6,5,7,8,2,3,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,6,7,8,2,3,4,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[8,7,6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1111110
[8,7,6,3,4,2,5,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[7,8,6,3,4,2,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,6,7,3,4,2,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[7,6,8,3,4,2,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[6,7,8,3,4,2,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,7,8,4,2,3,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[8,7,6,3,2,4,5,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[7,8,6,3,2,4,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,6,7,3,2,4,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[6,7,8,3,2,4,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[8,7,6,2,3,4,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[7,8,6,2,3,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[7,6,8,2,3,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,7,8,2,3,4,5,1] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[7,8,5,4,3,2,6,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[8,7,5,3,4,2,6,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[7,8,5,3,4,2,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[8,7,5,3,2,4,6,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[8,7,4,3,2,5,6,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[7,8,3,4,2,5,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,8,4,2,3,5,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,8,3,2,4,5,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,7,2,3,4,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[7,8,2,3,4,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[8,6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1111110
[8,5,6,3,4,2,7,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[8,6,4,3,5,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[8,4,5,3,6,2,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,4,3,5,6,2,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,6,5,4,2,3,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[8,5,6,4,2,3,7,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,6,5,3,2,4,7,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,6,4,2,3,5,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,5,4,3,2,6,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[8,4,5,3,2,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,5,3,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[8,3,4,5,2,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[8,5,4,2,3,6,7,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[8,4,3,2,5,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,3,4,2,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[8,4,2,3,5,6,7,1] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[8,3,2,4,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[8,2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[7,6,5,4,3,2,8,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1111110
[6,7,5,4,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[6,5,7,4,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,7,4,3,2,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[7,6,4,5,3,2,8,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[6,7,4,5,3,2,8,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,4,5,6,3,2,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[6,5,4,7,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[6,4,5,7,3,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[4,5,6,7,3,2,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[7,5,6,3,4,2,8,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[6,5,7,3,4,2,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[7,6,4,3,5,2,8,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[7,6,3,4,5,2,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[7,5,4,3,6,2,8,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[7,4,5,3,6,2,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[7,5,3,4,6,2,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,3,4,5,6,2,8,1] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[6,5,4,3,7,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[6,4,5,3,7,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[5,4,6,3,7,2,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,6,3,7,2,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[6,5,3,4,7,2,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[5,6,3,4,7,2,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,4,3,5,7,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[6,3,4,5,7,2,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[4,5,3,6,7,2,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[4,3,5,6,7,2,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,5,6,7,2,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[7,6,5,4,2,3,8,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[6,7,5,4,2,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,5,6,4,2,3,8,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,5,7,4,2,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[6,7,4,5,2,3,8,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[7,4,5,6,2,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[6,5,4,7,2,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[4,5,6,7,2,3,8,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[7,6,5,3,2,4,8,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[6,7,5,3,2,4,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,5,7,3,2,4,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[7,6,5,2,3,4,8,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[7,5,6,2,3,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[5,6,7,2,3,4,8,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,7,4,3,2,5,8,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,6,4,2,3,5,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,6,3,2,4,5,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[6,7,3,2,4,5,8,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,7,2,3,4,5,8,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,5,4,3,2,6,8,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[7,4,3,5,2,6,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[7,4,5,2,3,6,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[7,5,3,2,4,6,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,4,3,2,5,6,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[7,3,2,4,5,6,8,1] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[7,2,3,4,5,6,8,1] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[6,5,4,3,2,7,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[4,5,6,3,2,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[6,5,3,4,2,7,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[6,3,4,5,2,7,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[5,4,3,6,2,7,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,3,5,6,2,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,5,6,2,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[6,5,4,2,3,7,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[6,4,5,2,3,7,8,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,5,6,2,3,7,8,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[6,5,3,2,4,7,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[6,2,3,4,5,7,8,1] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[5,4,3,2,6,7,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,3,2,6,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[5,3,4,2,6,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[4,3,5,2,6,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,5,2,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[5,4,2,3,6,7,8,1] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[4,5,2,3,6,7,8,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,3,2,4,6,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[5,2,3,4,6,7,8,1] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,5,6,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,2,5,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[4,2,3,5,6,7,8,1] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,4,5,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[2,3,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 1000000
[8,7,6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1111110
[7,8,6,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[8,6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[7,6,8,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[6,7,8,5,4,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[8,6,5,7,4,3,1,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[7,6,5,8,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[6,7,5,8,4,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,5,7,8,4,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[5,6,7,8,4,3,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[6,7,8,4,5,3,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[8,5,6,4,7,3,1,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[8,5,4,6,7,3,1,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[7,6,5,4,8,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[6,5,7,4,8,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,7,4,5,8,3,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,5,4,7,8,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[5,6,4,7,8,3,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,4,6,7,8,3,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,5,6,7,8,3,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[8,7,6,5,3,4,1,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[7,8,6,5,3,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[7,6,8,5,3,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[8,7,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[8,6,5,7,3,4,1,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[8,5,6,7,3,4,1,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[7,6,5,8,3,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[7,5,6,8,3,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,6,7,8,3,4,1,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[6,7,8,4,3,5,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[8,7,6,3,4,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,6,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[7,8,4,5,3,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[7,8,5,3,4,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,8,4,3,5,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[8,7,3,4,5,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[7,8,3,4,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[8,5,4,3,6,7,1,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[8,5,3,4,6,7,1,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,3,4,5,6,7,1,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[7,6,5,4,3,8,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[5,6,7,4,3,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[6,7,4,5,3,8,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[5,6,4,7,3,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,5,6,7,3,8,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[7,6,5,3,4,8,1,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[7,5,3,4,6,8,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,3,4,5,6,8,1,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[6,5,4,3,7,8,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[5,6,4,3,7,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,4,6,3,7,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,5,6,3,7,8,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[5,6,3,4,7,8,1,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,4,3,6,7,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,5,3,6,7,8,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[5,3,4,6,7,8,1,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[4,3,5,6,7,8,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,4,5,6,7,8,1,2] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[8,7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1111110
[7,8,6,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[8,6,7,5,4,2,1,3] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[7,6,8,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[6,7,8,5,4,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[8,7,5,6,4,2,1,3] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[7,8,5,6,4,2,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[7,6,5,8,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[6,7,5,8,4,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,5,6,8,4,2,1,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,5,7,8,4,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[8,7,6,4,5,2,1,3] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[7,6,8,4,5,2,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[8,4,5,6,7,2,1,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[7,6,5,4,8,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[6,7,5,4,8,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[6,5,7,4,8,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,4,5,6,8,2,1,3] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[4,5,6,7,8,2,1,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[8,7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[7,8,6,5,4,1,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,6,8,5,4,1,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[6,7,8,5,4,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[7,8,5,6,4,1,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[8,5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[7,6,5,8,4,1,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[6,7,5,8,4,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[7,5,6,8,4,1,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,5,7,8,4,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[5,6,7,8,4,1,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[8,6,7,4,5,1,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[6,7,8,4,5,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[8,7,5,4,6,1,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[7,8,5,4,6,1,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[8,7,4,5,6,1,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,5,6,4,7,1,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[8,6,4,5,7,1,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[8,4,5,6,7,1,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[7,6,5,4,8,1,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[6,7,5,4,8,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[5,6,7,4,8,1,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[6,7,4,5,8,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[7,5,4,6,8,1,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,5,4,7,8,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[5,6,4,7,8,1,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,4,6,7,8,1,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,5,6,7,8,1,2,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[8,7,6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => 1111110
[8,6,7,5,3,2,1,4] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[6,7,8,5,3,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[8,7,5,6,3,2,1,4] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[7,8,5,6,3,2,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[8,6,5,7,3,2,1,4] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[8,5,6,7,3,2,1,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[6,7,5,8,3,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[7,5,6,8,3,2,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[6,5,7,8,3,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,6,7,8,3,2,1,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[8,7,6,5,2,3,1,4] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[7,8,6,5,2,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[7,6,8,5,2,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,7,8,5,2,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[8,7,5,6,2,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,8,5,6,2,3,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[8,5,6,7,2,3,1,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[7,6,5,8,2,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,7,5,8,2,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[7,5,6,8,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[6,5,7,8,2,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,6,7,8,2,3,1,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[8,7,6,5,3,1,2,4] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[7,8,5,6,3,1,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,6,8,3,1,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,6,7,8,3,1,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[8,7,6,5,2,1,3,4] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[7,8,6,5,2,1,3,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[7,6,8,5,2,1,3,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,7,8,5,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[8,7,5,6,2,1,3,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,8,5,6,2,1,3,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[8,5,6,7,2,1,3,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[7,6,5,8,2,1,3,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,7,5,8,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[7,5,6,8,2,1,3,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[6,5,7,8,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,6,7,8,2,1,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[8,7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[7,8,6,5,1,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,6,7,5,1,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[7,6,8,5,1,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[6,7,8,5,1,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[8,7,5,6,1,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[7,8,5,6,1,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[8,6,5,7,1,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,5,6,7,1,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[7,6,5,8,1,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[6,7,5,8,1,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[7,5,6,8,1,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,5,7,8,1,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[5,6,7,8,1,2,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[8,7,6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1111110
[7,8,6,4,3,2,1,5] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[8,6,7,4,3,2,1,5] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[7,6,8,4,3,2,1,5] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[6,7,8,4,3,2,1,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[8,7,6,3,4,2,1,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[7,8,6,3,4,2,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[6,7,8,3,4,2,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[8,7,6,4,2,3,1,5] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[6,7,8,4,2,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[8,7,6,3,2,4,1,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[8,6,7,3,2,4,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[6,7,8,3,2,4,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[8,7,6,2,3,4,1,5] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[7,6,8,2,3,4,1,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,7,8,2,3,4,1,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[8,7,6,4,3,1,2,5] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[6,7,8,4,3,1,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[8,7,6,3,4,1,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,6,7,3,4,1,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,7,8,3,4,1,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[8,7,6,4,2,1,3,5] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[8,6,7,4,2,1,3,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[6,7,8,4,2,1,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[8,7,6,4,1,2,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[6,7,8,4,1,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[8,7,6,3,2,1,4,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[7,8,6,3,2,1,4,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,6,7,3,2,1,4,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[7,6,8,3,2,1,4,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[6,7,8,3,2,1,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[8,7,6,2,3,1,4,5] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[7,8,6,2,3,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[7,6,8,2,3,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,7,8,2,3,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[8,7,6,3,1,2,4,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[8,6,7,3,1,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[6,7,8,3,1,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[8,7,6,2,1,3,4,5] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[7,8,6,2,1,3,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,7,8,2,1,3,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[8,7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[7,8,6,1,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[8,6,7,1,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[7,6,8,1,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,7,8,1,2,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[8,7,5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => 1111110
[7,8,5,4,3,2,1,6] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[8,7,4,5,3,2,1,6] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[8,7,5,3,4,2,1,6] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[8,7,3,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[7,8,3,4,5,2,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,7,5,3,2,4,1,6] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[8,7,4,3,2,5,1,6] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[8,7,3,4,2,5,1,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[7,8,3,4,2,5,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,7,2,3,4,5,1,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[7,8,2,3,4,5,1,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[8,7,5,4,3,1,2,6] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[8,7,5,3,4,1,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,7,3,4,5,1,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[7,8,3,4,5,1,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,8,5,4,2,1,3,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[8,7,5,4,1,2,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[7,8,5,4,1,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,8,4,5,1,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[8,7,5,3,2,1,4,6] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[7,8,5,3,2,1,4,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[8,7,5,3,1,2,4,6] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[7,8,5,3,1,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[8,7,5,2,1,3,4,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[8,7,5,1,2,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[7,8,5,1,2,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,7,4,3,2,1,5,6] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[8,7,3,4,2,1,5,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[7,8,3,4,2,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,8,4,2,3,1,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,7,3,2,4,1,5,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[7,8,3,2,4,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,7,2,3,4,1,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[7,8,2,3,4,1,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[7,8,4,3,1,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[8,7,3,4,1,2,5,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[7,8,3,4,1,2,5,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[8,7,4,2,1,3,5,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[7,8,4,2,1,3,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,7,4,1,2,3,5,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[8,7,3,2,1,4,5,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[7,8,3,2,1,4,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,7,2,3,1,4,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[7,8,2,3,1,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[7,8,3,1,2,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[8,7,2,1,3,4,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[7,8,2,1,3,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[8,7,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[7,8,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[8,6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1111110
[8,5,6,4,3,2,1,7] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[8,6,4,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[8,4,5,6,3,2,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,6,5,3,4,2,1,7] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,5,6,3,4,2,1,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[8,4,5,3,6,2,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,4,3,5,6,2,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,3,4,5,6,2,1,7] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[8,6,5,4,2,3,1,7] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[8,5,6,4,2,3,1,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,4,5,6,2,3,1,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,6,5,3,2,4,1,7] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,6,5,2,3,4,1,7] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[8,6,4,2,3,5,1,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,5,4,3,2,6,1,7] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[8,4,3,5,2,6,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,5,4,2,3,6,1,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[8,4,5,2,3,6,1,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,5,3,2,4,6,1,7] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[8,5,2,3,4,6,1,7] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[8,3,2,4,5,6,1,7] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[8,2,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[8,6,5,4,3,1,2,7] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[8,6,5,3,4,1,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[8,5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[8,5,4,3,6,1,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[8,5,3,4,6,1,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,3,4,5,6,1,2,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[8,6,5,4,2,1,3,7] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[8,5,6,4,2,1,3,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,4,5,6,2,1,3,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,6,5,4,1,2,3,7] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[8,6,4,5,1,2,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[8,6,5,3,2,1,4,7] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,5,6,3,2,1,4,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[8,6,5,2,3,1,4,7] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[8,5,6,3,1,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,6,5,2,1,3,4,7] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[8,6,5,1,2,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[8,5,6,1,2,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[8,6,4,3,2,1,5,7] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[8,6,4,2,3,1,5,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,6,4,3,1,2,5,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[8,6,3,4,1,2,5,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[8,6,4,2,1,3,5,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,6,4,1,2,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[8,6,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[8,5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[8,4,5,3,2,1,6,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,4,3,5,2,1,6,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,3,4,5,2,1,6,7] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[8,4,5,2,3,1,6,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,5,2,3,4,1,6,7] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[8,4,2,3,5,1,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[8,2,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[8,5,3,4,1,2,6,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,3,4,5,1,2,6,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[8,5,4,2,1,3,6,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[8,5,4,1,2,3,6,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[8,4,5,1,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[8,5,3,2,1,4,6,7] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[8,5,3,1,2,4,6,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[8,5,1,2,3,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[8,4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[8,3,4,2,1,5,6,7] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[8,4,2,3,1,5,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[8,2,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[8,3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[8,4,2,1,3,5,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[8,4,1,2,3,5,6,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[8,3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[8,2,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[8,3,1,2,4,5,6,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[8,2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[8,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 1000000
[7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1111110
[6,7,5,4,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[7,5,6,4,3,2,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[6,5,7,4,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,7,4,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[7,6,4,5,3,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[6,7,4,5,3,2,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,5,4,6,3,2,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[7,4,5,6,3,2,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[6,5,4,7,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,4,7,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[5,4,6,7,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,6,7,3,2,1,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[7,6,5,3,4,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[6,7,5,3,4,2,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[7,5,6,3,4,2,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[6,5,7,3,4,2,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,6,7,3,4,2,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[7,6,4,3,5,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[6,7,4,3,5,2,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,6,3,4,5,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[7,5,4,3,6,2,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[6,5,4,3,7,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,4,3,7,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[5,4,6,3,7,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[5,4,3,6,7,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[3,4,5,6,7,2,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[7,6,5,4,2,3,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[6,7,5,4,2,3,1,8] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,5,6,4,2,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,7,4,5,2,3,1,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[7,5,4,6,2,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,5,4,7,2,3,1,8] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[4,5,6,7,2,3,1,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[7,6,5,3,2,4,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[6,5,7,3,2,4,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,6,7,3,2,4,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[7,6,5,2,3,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[7,5,6,2,3,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[5,6,7,2,3,4,1,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,7,4,3,2,5,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,7,3,4,2,5,1,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[7,6,4,2,3,5,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[6,7,4,2,3,5,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,6,3,2,4,5,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[6,7,3,2,4,5,1,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,7,2,3,4,5,1,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,5,4,3,2,6,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[7,4,5,3,2,6,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[7,5,3,4,2,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,4,3,5,2,6,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[7,5,3,2,4,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,2,3,4,5,6,1,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[6,5,4,3,2,7,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,4,3,2,7,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[5,6,3,4,2,7,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,3,4,5,2,7,1,8] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[5,4,3,6,2,7,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,3,6,2,7,1,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[5,3,4,6,2,7,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[4,3,5,6,2,7,1,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,5,6,2,7,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[6,5,3,2,4,7,1,8] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[6,4,2,3,5,7,1,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[5,4,3,2,6,7,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[3,4,5,2,6,7,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[4,5,2,3,6,7,1,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,2,3,4,6,7,1,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,5,6,7,1,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,2,5,6,7,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[4,2,3,5,6,7,1,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,4,5,6,7,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[2,3,4,5,6,7,1,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 1000000
[7,6,5,4,3,1,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[6,7,5,4,3,1,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[5,4,6,7,3,1,2,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,5,6,7,3,1,2,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[7,6,5,3,4,1,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[6,7,3,4,5,1,2,8] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[6,5,4,3,7,1,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[5,6,3,4,7,1,2,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[4,3,5,6,7,1,2,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,4,5,6,7,1,2,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[7,6,5,4,2,1,3,8] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[6,5,7,4,2,1,3,8] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,5,4,6,2,1,3,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[4,5,6,7,2,1,3,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[7,6,5,4,1,2,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[5,6,7,4,1,2,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[7,4,5,6,1,2,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[5,4,6,7,1,2,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,5,6,7,1,2,3,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[7,6,5,3,2,1,4,8] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[7,6,5,2,3,1,4,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[7,5,6,2,3,1,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[5,6,7,2,3,1,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[7,6,5,2,1,3,4,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[7,5,6,2,1,3,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[5,6,7,2,1,3,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[7,6,5,1,2,3,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[6,7,5,1,2,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[7,5,6,1,2,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[6,5,7,1,2,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[5,6,7,1,2,3,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[7,6,4,3,2,1,5,8] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[6,7,4,3,2,1,5,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,6,3,4,2,1,5,8] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[6,7,3,4,2,1,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[7,6,4,2,3,1,5,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,6,3,2,4,1,5,8] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[6,7,2,3,4,1,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,6,4,3,1,2,5,8] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[7,6,4,2,1,3,5,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,6,3,2,1,4,5,8] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[6,7,3,2,1,4,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,7,2,3,1,4,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[6,7,3,1,2,4,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[7,6,1,2,3,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[6,7,1,2,3,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[7,5,4,3,2,1,6,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[7,4,5,3,2,1,6,8] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[7,4,3,5,2,1,6,8] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[7,3,4,5,2,1,6,8] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[7,5,3,2,4,1,6,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,2,3,4,5,1,6,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[7,5,4,3,1,2,6,8] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[7,4,5,1,2,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[7,5,3,2,1,4,6,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,5,3,1,2,4,6,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[7,5,1,2,3,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[7,4,3,2,1,5,6,8] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[7,2,3,4,1,5,6,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[7,4,3,1,2,5,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[7,3,4,1,2,5,6,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[7,4,1,2,3,5,6,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[7,3,2,1,4,5,6,8] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[7,2,3,1,4,5,6,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[7,3,1,2,4,5,6,8] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[7,2,1,3,4,5,6,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[7,1,2,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 1000000
[6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 1111100
[5,6,4,3,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[5,4,6,3,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,6,3,2,1,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[6,5,3,4,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[5,6,3,4,2,1,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,4,3,6,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[3,4,5,6,2,1,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[5,6,3,2,4,1,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,4,3,2,5,1,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[6,2,3,4,5,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[5,4,3,2,6,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,3,2,6,1,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[4,3,5,2,6,1,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,5,2,6,1,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[5,2,3,4,6,1,7,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,5,6,1,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,2,5,6,1,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[4,2,3,5,6,1,7,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,4,5,6,1,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[2,3,4,5,6,1,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 1000000
[6,5,4,3,1,2,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[5,4,6,3,1,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,4,3,6,1,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,3,5,6,1,2,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,4,5,6,1,2,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[6,5,4,2,1,3,7,8] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[6,4,5,2,1,3,7,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,5,6,2,1,3,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,5,6,1,2,3,7,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[5,6,3,2,1,4,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,4,3,2,1,5,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[6,3,4,2,1,5,7,8] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[6,4,3,1,2,5,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[6,4,2,1,3,5,7,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[6,4,1,2,3,5,7,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[6,2,3,1,4,5,7,8] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[6,3,1,2,4,5,7,8] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[6,1,2,3,4,5,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 1000000
[5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 1111000
[4,5,3,2,1,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[5,3,4,2,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[4,3,5,2,1,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,5,2,1,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[5,4,2,3,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[4,5,2,3,1,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,3,2,4,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[5,2,3,4,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,5,1,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,2,5,1,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[4,2,3,5,1,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,4,5,1,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[2,3,4,5,1,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 1000000
[5,4,3,1,2,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[4,3,5,1,2,6,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,4,5,1,2,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[5,4,2,1,3,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[4,5,2,1,3,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,5,1,2,3,6,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[5,3,2,1,4,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[5,2,3,1,4,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[5,3,1,2,4,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[5,1,2,3,4,6,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 1000000
[4,3,2,1,5,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 1110000
[3,4,2,1,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[4,2,3,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,4,1,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[2,3,4,1,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 1000000
[4,3,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[4,2,1,3,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[4,1,2,3,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => 1000000
[3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 1100000
[2,3,1,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 1000000
[3,1,2,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => 1000000
[2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [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] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1111110
[5,8,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => 1111110
[5,7,8,6,4,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[6,5,8,7,4,3,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[5,6,8,7,4,3,2,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[5,7,6,8,4,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[4,8,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1111110
[4,7,8,6,5,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[4,6,8,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[4,7,6,8,5,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[5,4,7,8,6,3,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[4,5,8,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[5,6,4,8,7,3,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[4,5,6,8,7,3,2,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[5,7,6,4,8,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[4,7,6,5,8,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[4,6,7,5,8,3,2,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[5,4,7,6,8,3,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[4,5,7,6,8,3,2,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[4,6,5,7,8,3,2,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[3,8,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => 1111110
[3,7,8,6,5,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[3,6,8,7,5,4,2,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[3,7,6,8,5,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[3,5,8,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[3,5,7,8,6,4,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[3,5,6,8,7,4,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[3,7,6,5,8,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[3,5,7,6,8,4,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[3,5,6,7,8,4,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[4,3,8,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[4,3,6,7,8,5,2,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,6,7,8,5,2,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[5,4,3,8,7,6,2,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,4,3,7,8,6,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,5,4,7,8,6,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,4,5,7,8,6,2,1] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[6,5,4,3,8,7,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[5,6,4,3,8,7,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[4,5,6,3,8,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,6,5,4,8,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[4,3,6,5,8,7,2,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,4,3,6,8,7,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[4,5,3,6,8,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,4,5,6,8,7,2,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[5,7,6,4,3,8,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[5,4,7,6,3,8,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,7,6,5,4,8,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[3,5,7,6,4,8,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[3,5,6,7,4,8,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[3,4,7,6,5,8,2,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[3,4,6,7,5,8,2,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[3,5,4,7,6,8,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,4,5,7,6,8,2,1] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[3,6,5,4,7,8,2,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[3,5,6,4,7,8,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[4,3,6,5,7,8,2,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,6,5,7,8,2,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[3,5,4,6,7,8,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[2,8,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1111110
[2,7,8,6,5,4,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[2,6,8,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[2,7,6,8,5,4,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[2,6,7,8,5,4,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[2,6,7,5,8,4,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[2,5,6,7,8,4,3,1] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,8,7,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[2,4,7,8,6,5,3,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[2,4,6,8,7,5,3,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[2,4,6,7,8,5,3,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,6,5,4,8,7,3,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[2,4,6,5,8,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,4,5,6,8,7,3,1] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[2,7,6,5,4,8,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[2,5,6,7,4,8,3,1] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,6,7,5,8,3,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,6,5,4,7,8,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[2,5,6,4,7,8,3,1] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,6,5,7,8,3,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,5,4,6,7,8,3,1] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,5,6,7,8,3,1] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,8,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[3,2,7,8,6,5,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[3,2,5,7,8,6,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,2,5,7,6,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,2,5,6,7,8,4,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,3,8,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[2,3,6,5,8,7,4,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[2,3,5,6,8,7,4,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,3,7,6,5,8,4,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[2,3,5,6,7,8,4,1] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,8,7,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[4,3,2,7,8,6,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[3,4,2,8,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,4,2,7,8,6,5,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[2,4,3,8,7,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[2,4,3,6,8,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,4,3,6,7,8,5,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[3,2,4,8,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[2,3,4,8,7,6,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[2,3,4,6,7,8,5,1] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[5,4,3,2,8,7,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,4,3,2,7,8,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,5,4,2,7,8,6,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[2,5,4,3,8,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,2,5,4,7,8,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[2,3,5,4,7,8,6,1] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[4,3,2,5,8,7,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,2,5,7,8,6,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,4,2,5,8,7,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[2,3,4,5,8,7,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[2,3,4,5,7,8,6,1] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[6,5,4,3,2,8,7,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[5,4,6,3,2,8,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[3,5,6,4,2,8,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,3,6,5,2,8,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,4,3,6,2,8,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[4,5,3,6,2,8,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,4,5,6,2,8,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,6,5,4,3,8,7,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[2,4,6,5,3,8,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,4,5,6,3,8,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,2,6,5,4,8,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[2,3,5,6,4,8,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[4,3,2,6,5,8,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[2,4,3,6,5,8,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[3,2,4,6,5,8,7,1] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,3,4,6,5,8,7,1] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[5,4,3,2,6,8,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[2,4,5,3,6,8,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,2,5,4,6,8,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,3,2,5,6,8,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,4,2,5,6,8,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,4,3,5,6,8,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,2,4,5,6,8,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,3,4,5,6,8,7,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[5,7,6,4,3,2,8,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[4,7,6,5,3,2,8,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[4,6,7,5,3,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[4,6,5,7,3,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[3,5,7,6,4,2,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[3,5,6,7,4,2,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[3,4,7,6,5,2,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[3,4,6,7,5,2,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[5,4,3,7,6,2,8,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,5,4,7,6,2,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,4,5,7,6,2,8,1] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[4,6,5,3,7,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[3,6,5,4,7,2,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[3,5,6,4,7,2,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[4,3,6,5,7,2,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,6,5,7,2,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[3,5,4,6,7,2,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[2,7,6,5,4,3,8,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[2,6,5,7,4,3,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[2,5,6,7,4,3,8,1] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,6,7,5,3,8,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,4,6,5,7,3,8,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,5,4,6,7,3,8,1] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,5,6,7,3,8,1] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,7,6,5,4,8,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[3,2,6,7,5,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,2,5,7,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,2,6,5,7,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,2,5,6,7,4,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,3,7,6,5,4,8,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[2,3,5,6,7,4,8,1] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,7,6,5,8,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,3,2,6,7,5,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,2,7,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[3,4,2,6,7,5,8,1] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,4,3,7,6,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[2,4,3,6,7,5,8,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[3,2,4,7,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[2,3,4,6,7,5,8,1] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[5,4,3,2,7,6,8,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,5,4,2,7,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,3,5,2,7,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,2,5,4,7,6,8,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[2,3,5,4,7,6,8,1] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[4,3,2,5,7,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[2,3,4,5,7,6,8,1] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[3,5,6,4,2,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[3,4,6,5,2,7,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[3,5,4,6,2,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[2,6,5,4,3,7,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[2,5,6,4,3,7,8,1] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,6,5,3,7,8,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,4,5,6,3,7,8,1] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,5,6,4,7,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,3,5,6,4,7,8,1] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,6,5,7,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,2,6,5,7,8,1] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,4,3,6,5,7,8,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[2,3,4,6,5,7,8,1] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[3,5,4,2,6,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[2,4,5,3,6,7,8,1] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,5,4,6,7,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,3,5,4,6,7,8,1] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[2,4,3,5,6,7,8,1] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1111110
[1,7,8,6,5,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[1,6,8,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[1,7,6,8,5,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[1,6,7,8,5,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,5,8,7,6,4,3,2] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[1,6,5,8,7,4,3,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,7,6,5,8,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[1,6,7,5,8,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,5,7,6,8,4,3,2] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[1,6,5,7,8,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,5,6,7,8,4,3,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,8,7,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[1,4,7,8,6,5,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[1,4,6,8,7,5,3,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[1,4,6,7,8,5,3,2] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,5,4,7,8,6,3,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[1,4,6,5,8,7,3,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,7,6,5,4,8,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[1,4,7,6,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[1,4,6,7,5,8,3,2] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,6,5,4,7,8,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,5,6,4,7,8,3,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,5,4,6,7,8,3,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,5,6,7,8,3,2] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,8,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[1,3,5,8,7,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,3,5,7,8,6,4,2] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[1,3,5,6,8,7,4,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,3,5,6,7,8,4,2] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[1,4,3,8,7,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[1,4,3,7,8,6,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,4,3,7,6,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,3,4,8,7,6,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[1,3,4,6,7,8,5,2] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,5,4,3,8,7,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[1,4,5,3,8,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,3,5,4,8,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,3,4,5,7,8,6,2] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,6,5,4,3,8,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,5,6,4,3,8,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,4,6,5,3,8,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,4,3,6,5,8,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[1,5,4,3,6,8,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,3,4,5,6,8,7,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,7,6,5,4,3,8,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[1,6,7,5,4,3,8,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,6,5,7,4,3,8,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,5,6,7,4,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,6,7,5,3,8,2] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,5,6,4,7,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,6,5,7,3,8,2] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,5,4,6,7,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,5,6,7,3,8,2] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,5,6,7,4,8,2] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[1,3,4,6,7,5,8,2] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,3,5,4,7,6,8,2] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,4,5,7,6,8,2] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,5,4,6,3,7,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,3,4,6,5,7,8,2] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,5,4,3,6,7,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,5,3,6,7,8,2] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,4,3,5,6,7,8,2] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,4,5,6,7,8,2] => [[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => 1000000
[2,1,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[2,1,6,8,7,5,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[2,1,6,7,8,5,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[2,1,6,5,8,7,4,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,1,6,7,5,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[2,1,6,5,7,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[2,1,5,6,7,8,4,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,1,4,8,7,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,1,4,6,8,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,1,4,6,7,8,5,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,1,5,4,8,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[2,1,5,4,7,8,6,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,1,4,5,8,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[2,1,6,5,4,8,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,1,5,6,4,8,7,3] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,1,4,6,5,8,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,5,4,6,8,7,3] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,1,4,5,6,8,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,1,6,7,5,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[2,1,6,5,7,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[2,1,5,6,7,4,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,1,4,6,7,5,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,1,5,4,7,6,8,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,1,5,6,4,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,1,5,4,6,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,1,4,5,6,7,8,3] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[1,2,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[1,2,7,8,6,5,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,2,7,6,8,5,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,2,6,7,8,5,4,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[1,2,5,8,7,6,4,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[1,2,6,5,8,7,4,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,2,5,6,8,7,4,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,2,7,6,5,8,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,2,6,5,7,8,4,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[1,2,5,6,7,8,4,3] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,2,4,8,7,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[1,2,4,6,8,7,5,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[1,2,4,6,7,8,5,3] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,2,5,4,8,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,2,4,5,8,7,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[1,2,4,5,7,8,6,3] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[1,2,5,4,6,8,7,3] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,2,4,5,6,8,7,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[1,2,7,6,5,4,8,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,2,5,6,7,4,8,3] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,2,5,4,7,6,8,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,2,6,5,4,7,8,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[1,2,5,6,4,7,8,3] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,2,5,4,6,7,8,3] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,2,4,5,6,7,8,3] => [[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => 1000000
[3,2,1,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[3,2,1,7,8,6,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,2,1,6,8,7,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,2,1,7,6,8,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,2,1,6,7,8,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,2,1,5,8,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,2,1,5,7,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,2,1,6,5,8,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[3,2,1,7,6,5,8,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,2,1,6,7,5,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,2,1,5,7,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,2,1,6,5,7,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,2,1,5,6,7,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,3,1,8,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[2,3,1,6,8,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,3,1,6,5,8,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,3,1,5,6,7,8,4] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[1,3,2,8,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[1,3,2,7,6,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,3,2,6,7,8,5,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,3,2,5,8,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,3,2,5,7,8,6,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,3,2,6,5,8,7,4] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[1,3,2,5,6,8,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,3,2,7,6,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,3,2,6,7,5,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,3,2,6,5,7,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,3,2,5,6,7,8,4] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[2,1,3,8,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[2,1,3,6,8,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,1,3,6,5,8,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,1,3,5,6,7,8,4] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[1,2,3,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[1,2,3,7,8,6,5,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[1,2,3,6,8,7,5,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,2,3,7,6,8,5,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[1,2,3,5,8,7,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[1,2,3,5,7,8,6,4] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,2,3,6,5,8,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,2,3,5,6,8,7,4] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,2,3,7,6,5,8,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[1,2,3,5,7,6,8,4] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,2,3,5,6,7,8,4] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 1000000
[4,3,2,1,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[4,3,2,1,7,8,6,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,3,2,1,6,8,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,3,2,1,7,6,8,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,3,2,1,6,7,8,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,2,1,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,4,2,1,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,4,2,1,6,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,4,2,1,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,4,2,1,6,7,8,5] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,4,3,1,8,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[2,4,3,1,6,8,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,4,3,1,6,7,8,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[3,2,4,1,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,2,4,1,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,2,4,1,6,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,4,1,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,2,4,1,6,7,8,5] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,3,4,1,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,3,4,1,6,7,8,5] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[1,4,3,2,8,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,4,3,2,7,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,3,4,2,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,3,4,2,7,8,6,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,3,4,2,6,8,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,3,4,2,7,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,3,4,2,6,7,8,5] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[2,1,4,3,8,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,1,4,3,7,8,6,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,1,4,3,6,8,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,1,4,3,7,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,1,4,3,6,7,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[1,2,4,3,8,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,2,4,3,7,8,6,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,2,4,3,7,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,2,4,3,6,7,8,5] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[3,2,1,4,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,2,1,4,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,2,1,4,6,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,1,4,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,2,1,4,6,7,8,5] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,3,1,4,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,3,1,4,6,7,8,5] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[1,3,2,4,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,3,2,4,6,8,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,3,2,4,7,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,3,2,4,6,7,8,5] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[2,1,3,4,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,1,3,4,6,7,8,5] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[1,2,3,4,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,2,3,4,7,8,6,5] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,2,3,4,6,8,7,5] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,2,3,4,7,6,8,5] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,2,3,4,6,7,8,5] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 1000000
[5,4,3,2,1,8,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,4,3,2,1,7,8,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[4,5,3,2,1,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[3,5,4,2,1,8,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[3,5,4,2,1,7,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,3,5,2,1,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[3,4,5,2,1,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[2,5,4,3,1,8,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[2,4,5,3,1,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[3,2,5,4,1,8,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[3,2,5,4,1,7,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[2,3,5,4,1,8,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[4,3,2,5,1,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,2,5,1,7,8,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,4,2,5,1,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[2,4,3,5,1,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[3,2,4,5,1,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[2,3,4,5,1,7,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[1,5,4,3,2,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[1,5,4,3,2,7,8,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[1,4,5,3,2,8,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[1,3,5,4,2,7,8,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,4,5,2,8,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,3,4,5,2,7,8,6] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[2,1,4,5,3,8,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[1,2,5,4,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,2,5,4,3,7,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,2,4,5,3,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,2,4,5,3,7,8,6] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,3,2,5,4,8,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,3,2,5,4,7,8,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[2,1,3,5,4,8,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[1,2,3,5,4,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,2,3,5,4,7,8,6] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[4,3,2,1,5,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,2,1,5,7,8,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[2,4,3,1,5,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[3,2,4,1,5,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[2,3,4,1,5,7,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[1,4,3,2,5,8,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[1,3,4,2,5,7,8,6] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[2,1,4,3,5,8,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[1,2,4,3,5,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,2,4,3,5,7,8,6] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[3,2,1,4,5,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[2,3,1,4,5,7,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[1,3,2,4,5,8,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,3,2,4,5,7,8,6] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[2,1,3,4,5,7,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[1,2,3,4,5,8,7,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,2,3,4,5,7,8,6] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 1000000
[6,5,4,3,2,1,8,7] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[5,6,4,3,2,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,4,6,3,2,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[4,5,6,3,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,6,5,4,2,1,8,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[3,5,6,4,2,1,8,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,3,6,5,2,1,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[3,4,6,5,2,1,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,4,3,6,2,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[4,5,3,6,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,3,5,6,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,4,5,6,2,1,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,6,5,4,3,1,8,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[2,4,6,5,3,1,8,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,2,6,5,4,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[3,2,5,6,4,1,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[2,3,6,5,4,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[2,3,5,6,4,1,8,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[4,3,2,6,5,1,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[3,4,2,6,5,1,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,4,3,6,5,1,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[5,4,3,2,6,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[4,3,5,2,6,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,4,5,2,6,1,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,4,5,3,6,1,8,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,2,5,4,6,1,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,3,2,5,6,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,4,2,5,6,1,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,4,3,5,6,1,8,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[2,3,4,5,6,1,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[1,6,5,4,3,2,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,5,6,4,3,2,8,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,5,4,6,3,2,8,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,3,6,5,4,2,8,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,3,4,5,6,2,8,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[2,1,6,5,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,1,5,6,4,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,1,4,6,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,5,4,6,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,1,4,5,6,3,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[1,2,4,5,6,3,8,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[2,3,1,6,5,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[1,3,2,6,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[2,1,3,5,6,4,8,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[1,2,3,6,5,4,8,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,2,3,5,6,4,8,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[4,3,2,1,6,5,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[3,4,2,1,6,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,4,3,1,6,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[3,2,4,1,6,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,3,4,1,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[1,3,4,2,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[2,1,4,3,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[1,2,4,3,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[2,3,1,4,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[1,3,2,4,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[2,1,3,4,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[1,2,3,4,6,5,8,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[5,4,3,2,1,6,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[4,5,3,2,1,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,5,4,2,1,6,8,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,3,5,2,1,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,4,5,2,1,6,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,4,5,3,1,6,8,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,2,5,4,1,6,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[2,3,5,4,1,6,8,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[2,3,4,5,1,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,1,4,5,3,6,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[1,2,5,4,3,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,2,3,5,4,6,8,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[4,3,2,1,5,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,2,4,1,5,6,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,3,4,1,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[1,3,4,2,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[2,1,4,3,5,6,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[1,2,4,3,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[3,2,1,4,5,6,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,3,1,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[1,3,2,4,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[2,1,3,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 1000000
[5,7,6,4,3,2,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => 1111100
[4,7,6,5,3,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[5,4,7,6,3,2,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[4,5,7,6,3,2,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[4,6,5,7,3,2,1,8] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => 1111000
[3,5,7,6,4,2,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[3,5,6,7,4,2,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[3,4,7,6,5,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[5,4,3,7,6,2,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,5,4,7,6,2,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,6,5,4,7,2,1,8] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[3,5,6,4,7,2,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[4,3,6,5,7,2,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[2,7,6,5,4,3,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[2,6,7,5,4,3,1,8] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[2,5,6,7,4,3,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,6,7,5,3,1,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,5,6,4,7,3,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,5,4,6,7,3,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,5,6,7,3,1,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,7,6,5,4,1,8] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[3,2,6,7,5,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,2,5,7,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,2,6,5,7,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,2,5,6,7,4,1,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,3,7,6,5,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[2,3,5,6,7,4,1,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,6,7,5,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,2,6,7,5,1,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,2,4,6,7,5,1,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,3,4,6,7,5,1,8] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[5,4,3,2,7,6,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[4,5,3,2,7,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,5,4,2,7,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,3,5,2,7,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,2,5,4,7,6,1,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[4,3,2,5,7,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[2,3,4,5,7,6,1,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[3,5,6,4,2,7,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[3,4,6,5,2,7,1,8] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[3,5,4,6,2,7,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[2,5,4,6,3,7,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[3,2,6,5,4,7,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[2,3,5,6,4,7,1,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[2,4,3,6,5,7,1,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[2,3,4,6,5,7,1,8] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[2,3,5,4,6,7,1,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[1,7,6,5,4,3,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[1,6,7,5,4,3,2,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,6,5,7,4,3,2,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,5,6,7,4,3,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,7,6,5,3,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[1,4,6,7,5,3,2,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,5,6,4,7,3,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,5,4,6,7,3,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,5,6,7,3,2,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,5,7,6,4,2,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[1,3,5,6,7,4,2,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[1,3,4,6,7,5,2,8] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,3,5,4,7,6,2,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,4,5,7,6,2,8] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,5,4,6,3,7,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,5,4,3,6,7,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,5,3,6,7,2,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,4,5,6,7,2,8] => [[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => 1000000
[2,1,6,7,5,4,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[2,1,5,6,7,4,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,1,4,5,6,7,3,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[1,2,7,6,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,2,6,7,5,4,3,8] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[1,2,5,6,7,4,3,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,2,4,6,7,5,3,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,2,5,6,4,7,3,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,2,5,4,6,7,3,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,2,4,5,6,7,3,8] => [[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => 1000000
[3,2,1,7,6,5,4,8] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,2,1,5,7,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[2,3,1,5,6,7,4,8] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[1,3,2,7,6,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,3,2,6,7,5,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,3,2,5,7,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,3,2,5,6,7,4,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,2,3,7,6,5,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[1,2,3,5,7,6,4,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,2,3,5,6,7,4,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 1000000
[4,3,2,1,7,6,5,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,3,2,1,6,7,5,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,2,4,1,7,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,2,4,1,6,7,5,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,3,4,1,6,7,5,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[1,4,3,2,7,6,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,3,4,2,6,7,5,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[1,2,4,3,6,7,5,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[3,2,1,4,7,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[2,3,1,4,6,7,5,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[1,3,2,4,7,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,2,3,4,7,6,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,2,3,4,6,7,5,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 1000000
[5,4,3,2,1,7,6,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[4,5,3,2,1,7,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,5,4,2,1,7,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,2,5,4,1,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[2,3,4,5,1,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[1,5,4,3,2,7,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[1,3,5,4,2,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,4,5,2,7,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[2,1,5,4,3,7,6,8] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[1,2,4,5,3,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[3,2,1,5,4,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[1,3,2,5,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,2,3,5,4,7,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[4,3,2,1,5,7,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[2,3,4,1,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[1,3,4,2,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[1,2,4,3,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[2,3,1,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[1,3,2,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[2,1,3,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[1,2,3,4,5,7,6,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 1000000
[3,6,5,4,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[4,3,6,5,2,1,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[2,4,6,5,3,1,7,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,4,5,6,3,1,7,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[2,3,5,6,4,1,7,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[4,3,2,6,5,1,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[2,4,3,6,5,1,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[2,3,4,6,5,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[3,5,4,2,6,1,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[1,6,5,4,3,2,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[1,5,6,4,3,2,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,6,5,3,2,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,5,4,6,3,2,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,5,6,3,2,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,5,6,4,2,7,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[1,5,4,3,6,2,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,5,3,6,2,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,4,3,5,6,2,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,4,5,6,2,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => 1000000
[2,1,5,6,4,3,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,1,4,6,5,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[1,2,6,5,4,3,7,8] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[1,2,4,6,5,3,7,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,2,4,5,6,3,7,8] => [[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => 1000000
[3,2,1,5,6,4,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,3,1,5,6,4,7,8] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[1,3,2,6,5,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,3,2,5,6,4,7,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,2,3,5,6,4,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 1000000
[4,3,2,1,6,5,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[2,4,3,1,6,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[3,2,4,1,6,5,7,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,3,4,1,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,1,4,3,6,5,7,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[1,2,4,3,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[1,3,2,4,6,5,7,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[2,1,3,4,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[1,2,3,4,6,5,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 1000000
[3,5,4,2,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => 1110000
[2,5,4,3,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[2,4,5,3,1,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[3,2,5,4,1,6,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,3,5,4,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[2,4,3,5,1,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[1,5,4,3,2,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[1,4,5,3,2,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,4,5,2,6,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => 1000000
[2,1,5,4,3,6,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,1,4,5,3,6,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[1,2,5,4,3,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[2,3,1,5,4,6,7,8] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[1,3,2,5,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,2,3,5,4,6,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 1000000
[2,4,3,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => 1100000
[1,4,3,2,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[1,3,4,2,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => 1000000
[2,1,4,3,5,6,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[1,2,4,3,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => 1000000
[1,3,2,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => 1000000
[1,2,3,4,8,6,7,5] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,2,3,5,8,6,7,4] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,2,3,7,5,6,4,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,2,3,7,5,6,8,4] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,2,3,8,5,6,7,4] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,2,3,8,5,7,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[1,2,3,8,6,5,7,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,2,3,8,6,7,5,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,2,4,5,8,6,7,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[1,2,4,7,5,6,8,3] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[1,2,4,8,5,6,7,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[1,2,4,8,6,5,7,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[1,2,6,4,5,7,8,3] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,2,7,4,5,6,8,3] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[1,2,8,4,5,6,7,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[1,2,8,4,6,7,5,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[1,2,8,4,7,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[1,2,8,5,4,6,7,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,2,8,5,6,4,7,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,2,8,5,6,7,4,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,2,8,6,5,4,7,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[1,2,8,6,5,7,4,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[1,2,8,7,5,6,4,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[1,3,2,7,5,6,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,3,2,8,5,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,3,4,2,8,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,3,4,5,8,6,7,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,3,4,8,5,6,7,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,3,6,4,5,2,8,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,3,6,4,5,7,8,2] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,3,7,4,5,6,2,8] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,3,7,4,5,6,8,2] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,3,8,4,5,6,7,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,3,8,5,4,6,7,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,3,8,5,4,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,3,8,5,6,7,4,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,3,8,5,7,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,3,8,7,5,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,4,3,8,5,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,5,3,4,2,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[1,5,3,4,2,7,8,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,5,3,4,2,8,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[1,5,3,4,6,7,2,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[1,5,3,4,6,7,8,2] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[1,6,3,4,5,2,7,8] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,6,3,4,5,8,7,2] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,7,3,4,5,6,2,8] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,7,3,4,5,6,8,2] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,8,3,4,5,6,7,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,6,3,5,4,8,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,7,3,5,4,6,2,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[1,8,3,5,4,6,7,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,8,3,5,4,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,8,3,5,6,4,7,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,8,3,5,6,7,4,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,8,3,5,7,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,8,3,7,5,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,8,3,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[1,6,4,3,5,2,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,6,4,3,5,8,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,8,4,3,5,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,7,4,3,6,5,8,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,6,4,5,3,2,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,6,4,5,3,2,8,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,6,4,5,3,8,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,7,4,5,3,6,8,2] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[1,7,4,5,6,3,8,2] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[1,7,4,6,5,3,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[1,8,4,6,5,3,7,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[1,8,4,6,5,7,3,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[1,8,4,7,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[1,7,5,4,3,6,8,2] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[1,7,6,4,5,3,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[1,8,6,4,5,3,7,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[1,8,6,4,5,7,3,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[1,8,7,4,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[1,8,6,5,4,3,7,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[1,8,6,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[1,8,7,5,4,6,3,2] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[1,8,7,5,6,4,3,2] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[2,1,3,8,5,7,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,1,3,8,6,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,1,3,8,6,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,1,4,3,8,6,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,1,4,5,8,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,1,4,8,5,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,1,4,8,5,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[2,1,4,8,6,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,1,4,8,6,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,1,5,4,8,6,7,3] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,1,6,4,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,6,4,5,7,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,1,6,4,5,8,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,8,4,5,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,1,8,4,5,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[2,1,8,4,6,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,1,8,4,6,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,1,8,4,7,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,1,8,5,4,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[2,1,8,6,5,4,7,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[2,1,8,6,5,7,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[2,3,1,8,6,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,3,4,5,8,6,7,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[2,3,4,7,5,6,1,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[2,3,4,7,5,6,8,1] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[2,3,4,8,5,6,7,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[2,3,4,8,5,7,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[2,3,5,4,8,6,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[2,3,6,4,5,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[2,3,6,4,5,1,8,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[2,3,6,4,5,7,8,1] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[2,3,6,4,5,8,7,1] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[2,3,7,4,5,6,8,1] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[2,3,8,4,5,6,7,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[2,3,8,5,4,6,7,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,3,8,5,6,4,7,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,3,8,5,6,7,4,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,3,8,5,7,6,4,1] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[2,3,8,6,5,4,7,1] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[2,4,3,5,8,6,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[2,4,3,8,5,6,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[2,4,3,8,5,7,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,4,3,8,6,5,7,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,5,3,4,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[2,5,3,4,1,8,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[2,5,3,4,6,7,8,1] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => 1100000
[2,5,3,4,6,8,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[2,5,3,4,7,6,8,1] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[2,5,3,4,8,6,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[2,6,3,4,5,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[2,6,3,4,5,7,8,1] => [[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => 1100000
[2,6,3,4,5,8,7,1] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[2,7,3,4,5,6,1,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[2,8,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[2,8,3,4,5,7,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[2,6,3,5,4,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[2,6,3,5,4,8,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[2,8,3,5,4,7,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[2,8,3,5,6,7,4,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,8,3,5,7,6,4,1] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[2,7,3,6,5,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[2,8,3,7,5,6,4,1] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[2,8,3,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[2,6,4,3,5,1,8,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,6,4,3,5,8,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,8,4,3,5,6,7,1] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[2,8,4,3,5,7,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,7,4,3,6,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[2,8,4,3,6,5,7,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,8,4,3,6,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,8,4,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[2,6,4,5,3,1,7,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[2,8,4,5,3,6,7,1] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[2,8,4,5,6,3,7,1] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[2,8,4,5,6,7,3,1] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[2,7,4,6,5,3,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[2,7,4,6,5,3,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[2,8,4,6,5,3,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[2,8,4,7,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[2,8,5,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[2,8,5,4,6,7,3,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[2,7,6,4,5,3,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[2,8,7,4,5,6,3,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[2,8,7,4,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[3,2,1,4,8,6,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,1,7,5,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,2,1,8,5,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,2,1,8,6,5,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,2,1,8,6,7,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,2,4,1,8,6,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,4,5,8,6,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,2,4,8,5,6,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,2,4,8,6,7,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,2,5,4,8,6,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,2,6,4,5,1,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,2,8,4,5,6,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,2,7,4,6,5,1,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[3,2,7,4,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[3,2,8,4,6,5,7,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,2,7,5,4,6,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,2,8,5,4,6,7,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[3,2,8,5,4,7,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[3,2,7,5,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,2,7,5,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,2,8,5,6,4,7,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,2,3,1,6,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,2,3,1,6,7,8,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[4,2,3,1,6,8,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[4,2,3,1,8,6,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[4,2,3,1,8,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,2,3,5,1,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,2,3,5,6,1,8,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[4,2,3,5,6,8,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[4,2,3,5,8,7,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,2,3,6,5,8,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,2,3,8,5,6,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[4,2,3,8,5,7,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,2,3,7,6,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[4,2,3,8,7,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[5,2,3,4,1,6,8,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[5,2,3,4,1,7,8,6] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[5,2,3,4,1,8,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[5,2,3,4,6,1,8,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[5,2,3,4,7,6,1,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[5,2,3,4,8,6,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[6,2,3,4,5,1,8,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[6,2,3,4,5,8,7,1] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[8,2,3,4,5,7,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[8,2,3,4,7,6,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[6,2,3,5,4,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[8,2,3,5,4,6,7,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[8,2,3,5,4,7,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[8,2,3,5,6,7,4,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[8,2,3,5,7,6,4,1] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[7,2,3,6,5,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[8,2,3,6,5,4,7,1] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[8,2,3,7,5,6,4,1] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[8,2,3,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[5,2,4,3,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[5,2,4,3,1,8,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,2,4,3,6,7,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => 1110000
[5,2,4,3,8,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,2,4,3,5,1,8,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[7,2,4,3,6,5,1,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[7,2,4,3,6,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[8,2,4,3,6,5,7,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[8,2,4,3,6,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[8,2,4,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[6,2,4,5,3,1,7,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[8,2,4,5,3,7,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,2,4,5,6,7,3,1] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[8,2,4,5,7,6,3,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[7,2,4,6,5,3,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,2,4,6,5,3,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[8,2,4,7,5,6,3,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[8,2,4,7,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[6,2,5,4,3,1,8,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[6,2,5,4,3,7,1,8] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[6,2,5,4,3,7,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[8,2,5,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[7,2,6,4,5,3,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,2,6,4,5,3,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[8,2,6,4,5,3,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,2,6,4,5,7,3,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,2,7,4,5,6,3,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[8,2,7,4,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[7,2,6,5,4,3,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[7,2,6,5,4,3,8,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[8,2,6,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[8,2,6,5,4,7,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[8,2,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1111110
[4,3,2,1,8,6,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,3,2,7,5,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,3,2,8,5,6,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,3,2,8,5,7,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,2,8,6,7,5,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[5,3,2,4,1,6,8,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[5,3,2,4,1,7,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,2,4,1,8,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[5,3,2,4,7,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[8,3,2,4,6,5,7,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,3,2,4,6,7,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,3,2,4,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[6,3,2,5,4,1,7,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,3,2,5,4,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[6,3,2,5,4,7,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,3,2,5,4,7,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,3,2,5,4,8,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[7,3,2,5,4,6,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[8,3,2,5,4,7,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[7,3,2,5,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[8,3,2,5,6,4,7,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,3,2,5,6,7,4,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,3,2,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[5,3,4,2,1,6,8,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[5,3,4,2,1,7,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,4,2,1,8,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[5,3,4,2,6,1,8,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[5,3,4,2,7,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,4,2,7,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,4,2,8,6,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[6,3,4,2,5,1,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[7,3,4,2,6,5,1,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[7,3,4,2,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[8,3,4,2,6,5,7,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[6,3,4,5,2,1,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,3,4,5,2,8,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[8,3,4,5,2,7,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[8,3,4,5,7,6,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[8,3,4,7,6,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[6,3,5,4,2,1,8,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[6,3,5,4,2,7,1,8] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[6,3,5,4,2,7,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[6,3,5,4,2,8,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[7,3,5,4,2,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[8,3,5,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[8,3,5,4,2,7,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[7,3,5,4,6,2,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,3,5,4,6,2,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[8,3,5,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[8,3,5,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[7,3,6,4,5,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[7,3,6,4,5,2,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[8,3,7,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[8,3,7,4,6,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[7,3,6,5,4,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[7,3,6,5,4,2,8,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[8,3,6,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,3,7,5,4,6,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[8,3,7,5,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[8,3,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => 1111110
[5,4,3,2,8,6,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[8,4,3,2,7,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[8,4,3,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[6,5,3,4,2,1,8,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[8,5,3,4,2,7,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[8,5,3,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[8,7,3,4,6,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[7,6,3,5,4,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[7,6,3,5,4,2,8,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[8,6,3,5,4,2,7,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,6,3,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,7,3,5,4,6,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[8,7,3,5,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[8,7,3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => 1111110
[8,5,4,3,2,7,6,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[8,5,4,3,7,6,2,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[8,7,4,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[8,7,4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1111110
[2,4,1,3,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,1,4,6,3,5,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,1,6,3,5,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,6,1,3,5,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,1,4,3,6,8,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,1,3,6,8,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,1,4,6,3,8,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,1,6,3,8,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,6,1,3,8,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,1,4,6,8,3,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,1,6,8,3,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,6,1,8,3,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,6,8,1,3,5,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 0001000
[2,4,1,3,6,5,7,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,1,4,6,3,5,7,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,1,6,3,5,7,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,6,1,3,5,7,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,1,4,6,3,7,5,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,1,6,3,7,5,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,6,1,3,7,5,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,6,7,1,3,5,8] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,1,3,6,7,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,1,4,6,3,7,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,1,6,3,7,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,1,4,6,7,3,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,1,6,7,3,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,6,1,7,3,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,6,7,1,3,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,1,4,6,7,8,3,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,1,6,7,8,3,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,4,6,7,8,1,3,5] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => 0010000
[2,1,4,3,7,5,8,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,4,1,3,7,5,8,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,1,4,7,3,5,8,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,4,1,7,3,5,8,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,1,4,3,7,8,5,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,4,1,3,7,8,5,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,4,1,7,3,8,5,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,1,4,7,8,3,5,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,4,1,7,8,3,5,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,4,7,1,8,3,5,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 0001000
[2,1,4,3,8,5,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,1,3,8,5,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,1,4,8,3,5,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,1,8,3,5,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,8,1,3,5,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,1,4,3,5,8,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,1,5,3,8,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,1,4,5,8,3,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,1,5,8,3,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,5,1,8,3,6,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,1,5,3,6,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,1,5,6,3,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,5,1,6,3,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,5,6,1,3,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,1,4,5,6,8,3,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,1,5,6,8,3,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,5,1,6,8,3,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,5,6,1,8,3,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,5,6,8,1,3,7] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => 0010000
[2,4,1,3,5,6,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,1,5,3,6,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,1,3,6,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,1,5,6,3,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,1,6,3,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,6,1,3,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,1,5,6,7,3,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,6,1,7,3,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,6,7,1,3,8] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,1,5,6,7,8,3] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,1,6,7,8,3] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,6,1,7,8,3] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,6,7,1,8,3] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,4,5,6,7,8,1,3] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => 0100000
[2,1,5,3,6,4,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,5,1,3,6,4,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,1,5,6,3,4,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,5,1,6,3,4,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,5,6,1,3,4,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,1,5,3,6,8,4,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,5,1,3,6,8,4,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,5,6,1,3,8,4,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,1,5,6,8,3,4,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,5,1,6,8,3,4,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,5,6,8,1,3,4,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 0001000
[2,1,5,3,7,4,8,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,5,1,3,7,4,8,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,1,5,7,3,4,8,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,5,1,7,3,4,8,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,5,7,1,3,4,8,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,1,5,3,7,8,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,5,1,3,7,8,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,1,5,7,3,8,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,1,5,7,8,3,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,5,1,7,8,3,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,5,7,1,8,3,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,5,7,8,1,3,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 0001000
[2,1,5,3,8,4,6,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,5,1,3,8,4,6,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,1,5,8,3,4,6,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,5,1,8,3,4,6,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,3,5,1,4,8,6,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,1,3,5,8,4,6,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,3,5,1,8,4,6,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,3,5,8,1,4,6,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,1,5,3,4,6,8,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,3,5,1,6,4,8,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,1,3,5,6,8,4,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,3,1,5,6,8,4,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,3,5,1,6,8,4,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,3,5,6,1,8,4,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,3,5,6,8,1,4,7] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => 0010000
[2,1,5,3,4,6,7,8] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[2,5,1,3,4,6,7,8] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[2,3,5,1,4,6,7,8] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[2,3,5,6,1,4,7,8] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[2,3,5,6,7,1,4,8] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[2,3,5,1,6,7,8,4] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[2,3,5,6,1,7,8,4] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[2,3,5,6,7,8,1,4] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => 0100000
[2,1,6,3,7,4,8,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,1,3,7,4,8,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,1,6,7,3,4,8,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,1,7,3,4,8,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,7,1,3,4,8,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,1,6,3,7,8,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,1,3,7,8,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,1,7,3,8,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,7,1,3,8,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,1,6,7,8,3,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,1,7,8,3,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,7,1,8,3,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,7,8,1,3,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 0001000
[2,6,1,7,3,4,5,8] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,6,1,3,4,7,5,8] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,3,1,6,4,7,5,8] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,1,6,3,4,7,8,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,6,1,3,4,7,8,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,3,6,1,4,7,8,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,1,3,6,7,4,8,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,1,3,6,7,8,4,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,3,1,6,7,8,4,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,3,6,1,7,8,4,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,3,6,7,1,8,4,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,3,6,7,8,1,4,5] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => 0010000
[2,1,6,3,8,4,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,6,1,3,8,4,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,1,6,8,3,4,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,6,1,8,3,4,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,6,8,1,3,4,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,1,6,3,4,8,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,6,1,3,4,8,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,3,1,6,4,8,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,3,6,1,4,8,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,3,1,6,8,4,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,3,6,1,8,4,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,1,6,3,4,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,6,1,3,4,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,1,3,6,4,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,3,6,1,4,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,3,4,1,6,8,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,3,4,6,1,8,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,3,4,6,8,1,5,7] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => 0010000
[2,6,1,3,4,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,1,3,6,4,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,3,1,6,4,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,3,6,1,4,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,3,4,6,1,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,3,4,6,7,1,5,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,3,4,6,1,7,8,5] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,3,4,6,7,8,1,5] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 0100000
[2,1,7,3,8,4,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,7,1,3,8,4,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,1,7,8,3,4,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,7,1,8,3,4,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,7,8,1,3,4,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,1,7,3,4,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,1,3,7,4,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,1,7,4,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,1,3,7,8,4,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,1,7,8,4,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,7,8,1,4,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,1,7,3,4,5,8,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,7,1,3,4,5,8,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,1,7,4,5,8,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,7,1,4,5,8,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,1,3,4,7,5,8,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,4,1,7,5,8,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,4,7,1,5,8,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,1,3,4,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,1,4,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,4,1,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,4,7,1,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,3,4,7,8,1,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 0010000
[2,1,7,3,4,5,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,7,1,3,4,5,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,3,7,1,4,5,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,1,3,4,7,5,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,3,1,4,7,5,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,3,4,1,7,5,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,3,4,7,1,5,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,3,4,5,7,1,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,3,4,5,7,1,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,3,4,5,7,8,1,6] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 0100000
[2,1,8,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,8,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,1,3,8,4,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,1,8,4,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,8,1,4,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,1,3,4,8,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,1,4,8,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,4,1,8,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,4,8,1,5,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,1,3,4,5,8,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,1,4,5,8,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,4,1,5,8,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,4,5,1,8,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,4,5,8,1,6,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[2,3,4,5,6,8,1,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 0100000
[3,1,4,2,6,5,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,4,1,2,6,5,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,1,4,6,2,5,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,4,1,6,2,5,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,4,6,1,2,5,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,1,4,2,6,8,5,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,4,1,2,6,8,5,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,1,4,6,2,8,5,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,4,1,6,2,8,5,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,1,4,6,8,2,5,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,4,1,6,8,2,5,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,4,6,8,1,2,5,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 0001000
[3,1,4,2,7,5,8,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 0001000
[3,4,1,2,7,5,8,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 0001000
[3,1,4,7,2,5,8,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 0001000
[3,4,7,1,2,5,8,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 0001000
[3,1,4,2,7,8,5,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 0001000
[3,4,1,2,7,8,5,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 0001000
[3,4,7,1,8,2,5,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 0001000
[3,4,7,8,1,2,5,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 0001000
[3,1,4,2,8,5,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,1,2,8,5,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,1,4,8,2,5,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,1,8,2,5,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,8,1,2,5,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,1,4,2,5,8,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,1,2,5,8,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,1,5,2,8,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,5,1,2,8,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,1,4,5,8,2,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,1,5,8,2,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,5,8,1,2,6,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,1,2,5,6,8,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,5,1,2,6,8,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,1,4,5,6,2,8,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,1,5,6,2,8,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,5,1,6,2,8,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,5,6,1,2,8,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,1,4,5,6,8,2,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,1,5,6,8,2,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,5,6,1,8,2,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,4,5,6,8,1,2,7] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => 0010000
[3,1,4,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,1,4,5,2,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,1,5,2,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,1,5,6,2,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,5,1,6,2,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,1,4,5,6,7,2,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,1,5,6,7,2,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,5,1,6,7,2,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,5,6,1,7,2,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,1,4,5,6,7,8,2] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,1,5,6,7,8,2] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,5,1,6,7,8,2] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,5,6,1,7,8,2] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,4,5,6,7,1,8,2] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 0100000
[3,1,5,2,6,4,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,5,1,2,6,4,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,1,5,6,2,4,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,5,1,6,2,4,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,5,6,1,2,4,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,1,5,2,6,8,4,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,5,1,2,6,8,4,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,1,5,6,2,8,4,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,5,6,1,2,8,4,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,1,5,6,8,2,4,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,5,1,6,8,2,4,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,5,6,1,8,2,4,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,5,6,8,1,2,4,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 0001000
[3,1,5,6,2,4,7,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,1,6,2,4,7,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,1,2,4,7,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,1,2,6,7,4,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,1,6,2,7,4,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,1,2,7,4,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,1,6,7,2,4,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,1,7,2,4,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,7,1,2,4,8] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,1,5,2,6,7,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,1,2,6,7,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,1,5,6,2,7,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,1,6,2,7,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,1,2,7,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,1,5,6,7,2,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,1,6,7,2,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,1,7,2,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,7,1,2,8,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,1,5,6,7,8,2,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,1,6,7,8,2,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,1,7,8,2,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,7,1,8,2,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,5,6,7,8,1,2,4] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => 0010000
[3,1,5,2,7,4,8,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,5,1,2,7,4,8,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,1,5,7,2,4,8,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,5,7,1,2,4,8,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,1,5,2,7,8,4,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,5,1,2,7,8,4,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,1,5,7,2,8,4,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,5,1,7,2,8,4,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,1,5,7,8,2,4,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,5,1,7,8,2,4,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,5,7,8,1,2,4,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 0001000
[3,1,5,2,7,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,5,1,2,7,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,1,5,7,2,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,5,1,7,2,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,5,7,1,2,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,1,5,2,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,5,1,2,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,1,2,5,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,5,2,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,1,2,5,7,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,2,5,7,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,5,2,7,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,5,7,2,4,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,5,1,2,4,7,8,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,1,2,5,7,4,8,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,5,2,7,4,8,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,5,7,2,4,8,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,2,5,7,8,4,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,5,2,7,8,4,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,5,7,2,8,4,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[1,3,5,7,8,2,4,6] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => 0010000
[3,5,1,2,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,3,5,2,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,3,5,6,2,4,7,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[3,1,2,5,6,7,4,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,3,5,2,6,7,4,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,3,5,6,2,7,4,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,3,5,6,7,2,4,8] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[3,1,2,5,6,7,8,4] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,3,5,6,7,2,8,4] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[1,3,5,6,7,8,2,4] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => 0100000
[3,1,6,2,7,4,8,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,6,1,2,7,4,8,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,6,1,7,2,4,8,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,6,7,1,2,4,8,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,6,1,2,7,8,4,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,1,6,7,2,8,4,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,6,1,7,2,8,4,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,6,7,1,2,8,4,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,6,1,7,8,2,4,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,6,7,8,1,2,4,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 0001000
[3,1,6,7,2,4,5,8] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[3,6,1,2,4,7,5,8] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[3,1,2,6,4,7,5,8] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[1,3,2,6,4,7,5,8] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[1,3,2,6,7,4,5,8] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[1,3,6,2,7,4,5,8] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[3,1,6,2,4,7,8,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[3,6,1,2,4,7,8,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[3,1,2,6,4,7,8,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[3,1,2,6,7,4,8,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[1,3,2,6,7,4,8,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[1,3,6,2,7,4,8,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[3,1,2,6,7,8,4,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[1,3,2,6,7,8,4,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[1,3,6,2,7,8,4,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[1,3,6,7,8,2,4,5] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => 0010000
[3,6,1,2,8,4,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,1,6,8,2,4,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,6,1,8,2,4,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,6,8,1,2,4,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,1,6,2,4,8,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,6,1,2,4,8,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[1,3,2,6,4,8,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[1,3,6,2,4,8,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,1,2,6,8,4,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[1,3,2,6,8,4,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,1,6,2,4,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,6,1,2,4,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,1,2,6,4,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[1,3,6,2,4,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,1,2,4,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[1,3,4,6,2,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[1,3,2,4,6,8,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[1,3,4,6,8,2,5,7] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => 0010000
[3,6,1,2,4,5,7,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[1,3,2,6,4,5,7,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[1,3,6,2,4,5,7,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[1,3,4,6,2,5,7,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[3,1,2,4,6,7,5,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[1,3,4,6,2,7,5,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[1,3,4,6,7,2,5,8] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[3,1,2,4,6,7,8,5] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[1,3,4,6,7,2,8,5] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => 0100000
[3,1,7,2,8,4,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,7,1,2,8,4,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,1,7,8,2,4,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,7,1,8,2,4,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,7,8,1,2,4,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,7,1,2,4,8,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,1,2,7,4,8,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,2,7,4,8,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,7,2,4,8,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,1,2,7,8,4,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,7,2,8,4,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,7,8,2,4,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,1,7,2,4,5,8,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,7,1,2,4,5,8,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,7,2,4,5,8,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,1,2,4,7,5,8,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,2,4,7,5,8,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,4,2,7,5,8,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,1,2,4,7,8,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,2,4,7,8,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,4,2,7,8,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[1,3,4,7,8,2,5,6] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => 0010000
[3,1,7,2,4,5,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[3,7,1,2,4,5,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[3,1,2,7,4,5,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[1,3,2,7,4,5,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[1,3,7,2,4,5,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[3,1,2,4,7,5,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[1,3,4,7,2,5,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[3,1,2,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[1,3,4,5,7,2,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[3,1,2,4,5,7,8,6] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[1,3,4,5,7,8,2,6] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => 0100000
[3,1,8,2,4,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[3,8,1,2,4,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[3,1,2,8,4,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,2,8,4,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,8,2,4,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[3,1,2,4,8,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,2,4,8,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,4,2,8,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,4,8,2,5,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[3,1,2,4,5,8,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,2,4,5,8,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,4,2,5,8,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,4,5,2,8,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,4,5,8,2,6,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[3,1,2,4,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[1,3,4,5,6,8,2,7] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => 0100000
[4,1,5,2,6,3,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,5,1,2,6,3,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,1,5,6,2,3,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,5,1,6,2,3,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,5,6,1,2,3,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,1,5,2,6,8,3,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,5,1,2,6,8,3,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,1,5,6,2,8,3,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,5,6,1,2,8,3,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,1,5,6,8,2,3,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,5,1,6,8,2,3,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,5,6,1,8,2,3,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,5,6,8,1,2,3,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 0001000
[4,1,5,2,6,3,7,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,1,5,6,2,3,7,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,1,6,2,3,7,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,1,2,6,7,3,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,1,6,2,7,3,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,6,1,2,7,3,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,6,1,7,2,3,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,1,5,2,6,7,8,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,1,2,6,7,8,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,1,6,2,7,8,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,6,1,2,7,8,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,1,5,6,7,2,8,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,1,6,7,2,8,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,6,1,7,2,8,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,6,7,1,2,8,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,1,5,6,7,8,2,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,1,6,7,8,2,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,6,1,7,8,2,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,5,6,7,1,8,2,3] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 0010000
[4,1,5,2,7,3,8,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,5,1,7,2,3,8,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,1,5,2,7,8,3,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,5,1,2,7,8,3,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,1,5,7,2,8,3,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,5,1,7,2,8,3,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,5,7,1,2,8,3,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,5,1,7,8,2,3,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,5,7,8,1,2,3,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 0001000
[4,1,5,2,8,3,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,5,1,2,8,3,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,5,1,8,2,3,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,5,8,1,2,3,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,1,5,2,3,8,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,5,1,2,3,8,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,1,2,5,3,8,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,2,5,3,8,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,5,2,3,8,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,1,2,5,8,3,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,2,5,8,3,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,5,2,8,3,6,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,2,5,3,6,8,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,1,2,5,6,3,8,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,5,2,6,3,8,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,1,2,5,6,8,3,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,2,5,6,8,3,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,5,2,6,8,3,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[1,4,5,6,8,2,3,7] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => 0010000
[4,1,5,2,3,6,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[4,1,2,5,3,6,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,2,5,3,6,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,2,3,6,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[4,1,2,5,6,3,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,2,6,3,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,6,2,3,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[4,1,2,5,6,7,3,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,2,5,6,7,3,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,2,6,7,3,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,6,2,7,3,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,6,7,2,3,8] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[4,1,2,5,6,7,8,3] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,2,5,6,7,8,3] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,2,6,7,8,3] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,6,2,7,8,3] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,6,7,2,8,3] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[1,4,5,6,7,8,2,3] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => 0100000
[4,1,6,2,7,3,8,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,1,6,7,2,3,8,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,6,7,1,2,3,8,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,6,1,2,7,8,3,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,6,1,7,2,8,3,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,6,7,1,2,8,3,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,1,6,7,8,2,3,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,6,1,7,8,2,3,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,6,7,1,8,2,3,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,6,7,8,1,2,3,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 0001000
[4,1,6,2,7,3,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,1,6,7,2,3,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,6,1,7,2,3,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,6,7,1,2,3,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,1,6,2,3,7,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,1,2,6,3,7,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,2,6,3,7,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,1,2,6,7,3,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,2,6,7,3,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,6,2,7,3,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,6,7,2,3,5,8] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,1,6,2,3,7,8,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,1,2,6,3,7,8,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,6,2,3,7,8,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,1,2,6,7,3,8,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,6,2,7,3,8,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,2,6,7,8,3,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,6,2,7,8,3,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,6,7,2,8,3,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[1,4,6,7,8,2,3,5] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => 0010000
[4,1,6,2,8,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,6,1,2,8,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,1,6,8,2,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,6,1,8,2,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,6,8,1,2,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,1,6,2,3,8,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,1,2,6,3,8,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,4,2,6,3,8,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,4,6,2,3,8,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,4,2,6,8,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,4,6,2,8,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,4,6,8,2,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,1,6,2,3,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,6,1,2,3,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,1,2,6,3,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,4,2,6,3,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,4,6,2,3,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,1,2,3,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,4,2,3,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,2,4,6,3,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,1,2,3,6,8,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[1,2,4,6,8,3,5,7] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => 0010000
[4,1,6,2,3,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[4,6,1,2,3,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[1,4,2,6,3,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[1,4,6,2,3,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[4,1,2,3,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[1,4,2,3,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[1,2,4,6,3,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[4,1,2,3,6,7,5,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[1,4,2,3,6,7,5,8] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[4,1,2,3,6,7,8,5] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[1,4,2,3,6,7,8,5] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => 0100000
[4,1,7,2,8,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,7,1,2,8,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,1,7,8,2,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,7,1,8,2,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,7,8,1,2,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,1,7,2,3,8,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,7,1,2,3,8,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,2,7,3,8,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,7,2,3,8,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,1,2,7,8,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,2,7,8,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,7,2,8,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,7,8,2,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,1,7,2,3,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,7,1,2,3,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,1,2,7,3,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,2,7,3,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,7,2,3,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,1,2,3,7,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,2,3,7,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,2,4,3,7,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,2,4,7,3,5,8,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,1,2,3,7,8,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,4,2,3,7,8,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,2,4,3,7,8,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,2,4,7,3,8,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[1,2,4,7,8,3,5,6] => [[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => 0010000
[4,1,7,2,3,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[4,7,1,2,3,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[4,1,2,7,3,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,4,2,7,3,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,4,7,2,3,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[4,1,2,3,7,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,4,2,3,7,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,2,4,3,7,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,2,4,7,3,5,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[4,1,2,3,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,4,2,3,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,2,4,5,7,3,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[4,1,2,3,5,7,8,6] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,4,2,3,5,7,8,6] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,2,4,5,7,3,8,6] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[1,2,4,5,7,8,3,6] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 0100000
[4,1,8,2,3,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[4,8,1,2,3,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[4,1,2,8,3,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,4,2,8,3,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,4,8,2,3,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[4,1,2,3,8,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,4,2,3,8,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,2,4,3,8,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,2,4,8,3,5,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[4,1,2,3,5,8,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,4,2,3,5,8,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,2,4,3,5,8,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,2,4,5,3,8,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,2,4,5,8,3,6,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[4,1,2,3,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,4,2,3,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,2,4,5,6,8,3,7] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => 0100000
[1,4,2,3,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => 1000000
[5,1,6,2,7,3,8,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,6,1,2,7,3,8,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,1,6,7,2,3,8,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,6,1,7,2,3,8,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,6,7,1,2,3,8,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,6,1,2,7,8,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,1,6,7,2,8,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,6,7,1,2,8,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,1,6,7,8,2,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,6,1,7,8,2,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,6,7,1,8,2,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 0001000
[5,1,6,2,7,3,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,6,1,7,2,3,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,1,6,2,3,7,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,1,2,6,3,7,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,2,6,3,7,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,1,2,6,7,3,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,2,6,7,3,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,6,7,2,3,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,1,6,2,3,7,8,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,6,1,2,3,7,8,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,1,2,6,3,7,8,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,2,6,3,7,8,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,6,2,3,7,8,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,1,2,6,7,3,8,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,6,7,2,3,8,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,1,2,6,7,8,3,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,2,6,7,8,3,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,6,2,7,8,3,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,6,7,2,8,3,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[1,5,6,7,8,2,3,4] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 0010000
[5,1,6,2,8,3,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,6,1,2,8,3,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,6,1,8,2,3,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,6,8,1,2,3,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,1,6,2,3,8,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,6,1,2,3,8,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,1,2,6,3,8,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,2,6,3,8,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,6,2,3,8,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,1,2,6,8,3,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,2,6,8,3,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,6,2,8,3,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,6,8,2,3,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,1,6,2,3,4,8,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,6,1,2,3,4,8,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,1,2,6,3,4,8,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,2,6,3,4,8,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,6,2,3,4,8,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,2,3,6,4,8,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,2,5,3,6,4,8,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,2,5,6,3,4,8,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,1,2,3,6,8,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,5,2,3,6,8,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[1,2,5,6,3,8,4,7] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => 0010000
[5,1,7,2,8,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,7,1,2,8,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,7,8,2,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,7,1,8,2,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,7,8,1,2,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,7,2,3,8,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,7,1,2,3,8,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,2,7,3,8,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,2,7,3,8,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,7,2,3,8,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,2,7,8,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,2,7,8,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,7,2,8,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,7,8,2,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,7,2,3,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,7,1,2,3,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,2,7,3,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,2,7,3,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,7,2,3,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,2,3,7,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,2,3,7,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,2,5,3,7,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,2,5,7,3,4,8,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,2,3,7,8,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,5,2,3,7,8,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,2,5,7,3,8,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[1,2,5,7,8,3,4,6] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => 0010000
[5,1,7,2,3,4,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[5,7,1,2,3,4,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[5,1,2,7,3,4,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,5,2,7,3,4,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,5,2,3,7,4,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,2,5,3,7,4,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,2,5,7,3,4,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,5,2,3,4,7,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,2,5,3,4,7,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,2,3,5,7,4,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[5,1,2,3,4,7,8,6] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,5,2,3,4,7,8,6] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,2,5,3,4,7,8,6] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,2,3,5,7,4,8,6] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[1,2,3,5,7,8,4,6] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 0100000
[5,1,8,2,3,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[5,8,1,2,3,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[5,1,2,8,3,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,5,2,8,3,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,5,8,2,3,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[5,1,2,3,8,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,5,2,3,8,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,2,5,3,8,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,2,5,8,3,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[5,1,2,3,4,8,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,5,2,3,4,8,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,2,5,3,4,8,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,2,3,5,4,8,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,2,3,5,8,4,6,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[5,1,2,3,4,6,8,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,5,2,3,4,6,8,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,2,5,3,4,6,8,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,2,3,5,6,8,4,7] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => 0100000
[1,5,2,3,4,6,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 1000000
[1,2,5,3,4,6,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 1000000
[6,1,7,2,8,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,7,1,2,8,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,7,8,2,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,7,1,8,2,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,7,2,3,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,7,1,2,3,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,2,7,3,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,2,7,3,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,7,2,3,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,2,7,8,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,2,7,8,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,7,2,8,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,7,8,2,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,7,2,3,4,8,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,7,1,2,3,4,8,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,2,7,3,4,8,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,2,7,3,4,8,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,7,2,3,4,8,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,2,3,7,4,8,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,2,3,7,4,8,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,2,6,3,7,4,8,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,2,3,7,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,6,2,3,7,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,2,6,3,7,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,2,6,7,3,8,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[1,2,6,7,8,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 0010000
[6,1,7,2,3,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[6,1,2,7,3,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,6,2,7,3,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,6,7,2,3,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[6,1,2,3,7,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,6,2,3,7,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,6,3,7,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,6,7,3,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[6,1,2,3,4,7,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,6,2,3,4,7,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,6,3,4,7,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,3,6,4,7,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,3,6,7,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[6,1,2,3,4,7,8,5] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,6,2,3,4,7,8,5] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,6,3,4,7,8,5] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,3,6,4,7,8,5] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,3,6,7,4,8,5] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[1,2,3,6,7,8,4,5] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 0100000
[6,1,8,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[6,8,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[6,1,2,8,3,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,6,2,8,3,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,6,8,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[6,1,2,3,8,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,6,2,3,8,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,2,6,3,8,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,2,6,8,3,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[6,1,2,3,4,8,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,6,2,3,4,8,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,2,6,3,4,8,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,2,3,6,4,8,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,2,3,6,8,4,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[6,1,2,3,4,5,8,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,6,2,3,4,5,8,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,2,6,3,4,5,8,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,2,3,6,4,5,8,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,2,3,4,6,8,5,7] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => 0100000
[1,6,2,3,4,5,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 1000000
[1,2,6,3,4,5,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 1000000
[1,2,3,6,4,5,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 1000000
[7,1,8,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[7,1,2,8,3,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,7,2,8,3,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,7,8,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[7,1,2,3,8,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,7,2,3,8,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,7,3,8,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,7,8,3,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[7,1,2,3,4,8,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,7,2,3,4,8,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,7,3,4,8,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,3,7,4,8,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,3,7,8,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[7,1,2,3,4,5,8,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,7,2,3,4,5,8,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,7,3,4,5,8,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,3,7,4,5,8,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,3,4,7,5,8,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,2,3,4,7,8,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 0100000
[1,7,2,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 1000000
[1,2,7,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 1000000
[1,2,3,7,4,5,6,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 1000000
[1,2,3,4,7,5,6,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 1000000
[1,8,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 1000000
[1,2,8,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 1000000
[1,2,3,8,4,5,6,7] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 1000000
[1,2,3,4,8,5,6,7] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 1000000
[1,2,3,4,5,8,6,7] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 1000000
[5,3,2,6,1,4,8,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[8,4,5,2,3,7,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[7,4,5,2,3,8,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[5,4,6,2,1,3,8,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[4,6,5,1,3,2,8,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,6,4,3,1,2,8,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[7,5,4,3,2,8,1,6] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[8,6,4,3,7,2,5,1] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[7,6,4,3,8,2,1,5] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[6,7,4,3,8,1,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[5,7,4,3,1,8,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[4,7,5,1,3,8,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[3,7,1,5,4,8,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[5,8,4,3,1,7,6,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[6,8,4,3,7,1,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[7,8,4,3,6,5,1,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[6,8,5,7,3,1,4,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[5,8,6,7,1,3,4,2] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[2,1,8,6,7,4,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[2,1,7,6,8,4,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[5,7,6,8,1,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,4,7,2,1,8,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[6,4,7,2,8,1,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[8,4,6,2,7,3,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[8,3,2,6,7,4,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[7,3,2,6,8,4,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[6,3,2,7,8,1,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[5,3,2,7,1,8,4,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[4,3,2,1,7,8,5,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[3,4,1,2,8,7,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[5,3,2,8,1,7,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[6,3,2,8,7,1,5,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[7,3,2,8,6,5,1,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[8,4,7,2,6,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[7,4,8,2,6,5,1,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[6,4,8,2,7,1,5,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[5,4,8,2,1,7,6,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[4,5,8,1,2,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[3,5,1,8,2,7,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[2,1,5,8,3,7,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[3,6,1,8,7,2,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[4,6,8,1,7,2,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[5,6,8,7,1,2,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[6,5,8,7,2,1,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[7,5,8,6,2,4,1,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[8,5,7,6,2,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[5,7,8,6,1,4,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[4,7,8,1,6,5,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[3,7,1,8,6,5,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[3,8,1,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[6,8,7,5,4,1,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[2,1,4,3,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 000010000
[3,4,1,2,6,5,8,7,10,9] => [[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => 000010000
[4,3,2,1,6,5,8,7,10,9] => [[1,5,7,9],[2,6,8,10],[3],[4]] => [4,3,2,6,8,10,1,5,7,9] => 110001000
[4,5,6,1,2,3,8,7,10,9] => [[1,2,3,7,9],[4,5,6,8,10]] => [4,5,6,8,10,1,2,3,7,9] => 000010000
[3,5,1,6,2,4,8,7,10,9] => [[1,2,4,7,9],[3,5,6,8,10]] => [3,5,6,8,10,1,2,4,7,9] => 000010000
[2,1,5,6,3,4,8,7,10,9] => [[1,3,4,7,9],[2,5,6,8,10]] => [2,5,6,8,10,1,3,4,7,9] => 000010000
[6,5,4,3,2,1,8,7,10,9] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => [6,5,4,3,2,8,10,1,7,9] => 111100100
[5,6,7,8,1,2,3,4,10,9] => [[1,2,3,4,9],[5,6,7,8,10]] => [5,6,7,8,10,1,2,3,4,9] => 000010000
[4,6,7,1,8,2,3,5,10,9] => [[1,2,3,5,9],[4,6,7,8,10]] => [4,6,7,8,10,1,2,3,5,9] => 000010000
[3,6,1,7,8,2,4,5,10,9] => [[1,2,4,5,9],[3,6,7,8,10]] => [3,6,7,8,10,1,2,4,5,9] => 000010000
[2,1,6,7,8,3,4,5,10,9] => [[1,3,4,5,9],[2,6,7,8,10]] => [2,6,7,8,10,1,3,4,5,9] => 000010000
[2,1,5,7,3,8,4,6,10,9] => [[1,3,4,6,9],[2,5,7,8,10]] => [2,5,7,8,10,1,3,4,6,9] => 000010000
[3,5,1,7,2,8,4,6,10,9] => [[1,2,4,6,9],[3,5,7,8,10]] => [3,5,7,8,10,1,2,4,6,9] => 000010000
[4,5,7,1,2,8,3,6,10,9] => [[1,2,3,6,9],[4,5,7,8,10]] => [4,5,7,8,10,1,2,3,6,9] => 000010000
[3,4,1,2,7,8,5,6,10,9] => [[1,2,5,6,9],[3,4,7,8,10]] => [3,4,7,8,10,1,2,5,6,9] => 000010000
[2,1,4,3,7,8,5,6,10,9] => [[1,3,5,6,9],[2,4,7,8,10]] => [2,4,7,8,10,1,3,5,6,9] => 000010000
[4,3,2,1,8,7,6,5,10,9] => [[1,5,9],[2,6,10],[3,7],[4,8]] => [4,8,3,7,2,6,10,1,5,9] => 010100100
[8,7,6,5,4,3,2,1,10,9] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,10,1,9] => 111111010
[10,8,9,6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6,9],[8],[10]] => [10,8,6,9,4,7,2,5,1,3] => 110101010
[2,1,7,8,9,10,3,4,5,6] => [[1,3,4,5,6],[2,7,8,9,10]] => [2,7,8,9,10,1,3,4,5,6] => 000010000
[3,7,1,8,9,10,2,4,5,6] => [[1,2,4,5,6],[3,7,8,9,10]] => [3,7,8,9,10,1,2,4,5,6] => 000010000
[4,7,8,1,9,10,2,3,5,6] => [[1,2,3,5,6],[4,7,8,9,10]] => [4,7,8,9,10,1,2,3,5,6] => 000010000
[5,7,8,9,1,10,2,3,4,6] => [[1,2,3,4,6],[5,7,8,9,10]] => [5,7,8,9,10,1,2,3,4,6] => 000010000
[6,7,8,9,10,1,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 000010000
[5,6,8,9,1,2,10,3,4,7] => [[1,2,3,4,7],[5,6,8,9,10]] => [5,6,8,9,10,1,2,3,4,7] => 000010000
[4,6,8,1,9,2,10,3,5,7] => [[1,2,3,5,7],[4,6,8,9,10]] => [4,6,8,9,10,1,2,3,5,7] => 000010000
[3,6,1,8,9,2,10,4,5,7] => [[1,2,4,5,7],[3,6,8,9,10]] => [3,6,8,9,10,1,2,4,5,7] => 000010000
[2,1,6,8,9,3,10,4,5,7] => [[1,3,4,5,7],[2,6,8,9,10]] => [2,6,8,9,10,1,3,4,5,7] => 000010000
[2,1,5,8,3,9,10,4,6,7] => [[1,3,4,6,7],[2,5,8,9,10]] => [2,5,8,9,10,1,3,4,6,7] => 000010000
[3,5,1,8,2,9,10,4,6,7] => [[1,2,4,6,7],[3,5,8,9,10]] => [3,5,8,9,10,1,2,4,6,7] => 000010000
[4,5,8,1,2,9,10,3,6,7] => [[1,2,3,6,7],[4,5,8,9,10]] => [4,5,8,9,10,1,2,3,6,7] => 000010000
[3,4,1,2,8,9,10,5,6,7] => [[1,2,5,6,7],[3,4,8,9,10]] => [3,4,8,9,10,1,2,5,6,7] => 000010000
[2,1,4,3,8,9,10,5,6,7] => [[1,3,5,6,7],[2,4,8,9,10]] => [2,4,8,9,10,1,3,5,6,7] => 000010000
[2,1,4,3,7,9,5,10,6,8] => [[1,3,5,6,8],[2,4,7,9,10]] => [2,4,7,9,10,1,3,5,6,8] => 000010000
[3,4,1,2,7,9,5,10,6,8] => [[1,2,5,6,8],[3,4,7,9,10]] => [3,4,7,9,10,1,2,5,6,8] => 000010000
[4,5,7,1,2,9,3,10,6,8] => [[1,2,3,6,8],[4,5,7,9,10]] => [4,5,7,9,10,1,2,3,6,8] => 000010000
[3,5,1,7,2,9,4,10,6,8] => [[1,2,4,6,8],[3,5,7,9,10]] => [3,5,7,9,10,1,2,4,6,8] => 000010000
[2,1,5,7,3,9,4,10,6,8] => [[1,3,4,6,8],[2,5,7,9,10]] => [2,5,7,9,10,1,3,4,6,8] => 000010000
[2,1,6,7,9,3,4,10,5,8] => [[1,3,4,5,8],[2,6,7,9,10]] => [2,6,7,9,10,1,3,4,5,8] => 000010000
[3,6,1,7,9,2,4,10,5,8] => [[1,2,4,5,8],[3,6,7,9,10]] => [3,6,7,9,10,1,2,4,5,8] => 000010000
[4,6,7,1,9,2,3,10,5,8] => [[1,2,3,5,8],[4,6,7,9,10]] => [4,6,7,9,10,1,2,3,5,8] => 000010000
[5,6,7,9,1,2,3,10,4,8] => [[1,2,3,4,8],[5,6,7,9,10]] => [5,6,7,9,10,1,2,3,4,8] => 000010000
[2,1,5,6,3,4,9,10,7,8] => [[1,3,4,7,8],[2,5,6,9,10]] => [2,5,6,9,10,1,3,4,7,8] => 000010000
[3,5,1,6,2,4,9,10,7,8] => [[1,2,4,7,8],[3,5,6,9,10]] => [3,5,6,9,10,1,2,4,7,8] => 000010000
[4,5,6,1,2,3,9,10,7,8] => [[1,2,3,7,8],[4,5,6,9,10]] => [4,5,6,9,10,1,2,3,7,8] => 000010000
[3,4,1,2,6,5,9,10,7,8] => [[1,2,5,7,8],[3,4,6,9,10]] => [3,4,6,9,10,1,2,5,7,8] => 000010000
[2,1,4,3,6,5,9,10,7,8] => [[1,3,5,7,8],[2,4,6,9,10]] => [2,4,6,9,10,1,3,5,7,8] => 000010000
[2,1,4,3,6,5,10,9,8,7] => [[1,3,5,7],[2,4,6,8],[9],[10]] => [10,9,2,4,6,8,1,3,5,7] => 110001000
[2,1,6,5,4,3,10,9,8,7] => [[1,3,7],[2,4,8],[5,9],[6,10]] => [6,10,5,9,2,4,8,1,3,7] => 010100100
[6,5,4,3,2,1,10,9,8,7] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => [6,5,4,10,3,9,2,8,1,7] => 110101010
[2,1,4,3,10,9,8,7,6,5] => [[1,3,5],[2,4,6],[7],[8],[9],[10]] => [10,9,8,7,2,4,6,1,3,5] => 111100100
[4,3,2,1,10,9,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8],[9],[10]] => [10,9,4,8,3,7,2,6,1,5] => 110101010
[2,1,10,9,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => 111111010
[10,9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,2,1] => 111111111
[4,2,5,1,3,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,2,6,1,3,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[5,3,6,1,2,4,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[6,2,4,1,3,5,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[6,3,5,1,2,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[5,3,7,1,2,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,4,7,1,2,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[6,2,7,1,3,4,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[6,3,7,1,2,4,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[6,4,7,1,2,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[7,3,5,1,2,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[7,3,6,1,2,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[7,4,6,1,2,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[3,2,8,1,4,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[4,2,8,1,3,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[5,4,8,1,2,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[6,2,8,1,3,4,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[6,3,8,1,2,4,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[6,4,8,1,2,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[6,5,8,1,2,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[7,2,8,1,3,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[7,3,8,1,2,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,4,8,1,2,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[7,5,8,1,2,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,2,4,1,3,5,6,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[8,3,5,1,2,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[8,3,6,1,2,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[8,3,7,1,2,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[8,4,7,1,2,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[8,5,7,1,2,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[3,2,5,7,1,4,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[4,2,5,7,1,3,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[5,2,4,7,1,3,6,8] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[4,2,6,7,1,3,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[5,2,6,7,1,3,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,2,5,7,1,3,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[3,2,5,8,1,4,6,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,2,5,8,1,3,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,3,5,8,1,2,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[5,2,4,8,1,3,6,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[3,2,6,8,1,4,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[4,2,6,8,1,3,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[5,2,6,8,1,3,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,2,4,8,1,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[6,3,4,8,1,2,5,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[6,2,5,8,1,3,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[6,3,5,8,1,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[6,4,5,8,1,2,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[3,2,7,8,1,4,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[5,3,7,8,1,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[6,2,7,8,1,3,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[6,3,7,8,1,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,4,7,8,1,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[7,2,4,8,1,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[7,3,4,8,1,2,5,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[7,3,5,8,1,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[7,4,5,8,1,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,4,6,8,1,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[8,3,4,6,1,2,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[8,3,5,6,1,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[8,2,4,7,1,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[8,2,5,7,1,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[8,3,5,7,1,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[8,2,6,7,1,3,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[8,4,6,7,1,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[4,6,2,5,1,3,7,8] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,6,3,5,1,2,7,8] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[3,7,2,5,1,4,6,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[4,7,3,5,1,2,6,8] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[3,7,2,6,1,4,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[4,7,3,6,1,2,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,7,2,6,1,3,4,8] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[6,7,2,5,1,3,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[4,8,2,5,1,3,6,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,8,2,4,1,3,6,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,8,3,4,1,2,6,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[5,8,3,6,1,2,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,8,4,6,1,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[6,8,3,5,1,2,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[3,8,2,7,1,4,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[4,8,2,7,1,3,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,8,3,7,1,2,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[5,8,2,7,1,3,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[5,8,3,7,1,2,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[6,8,2,7,1,3,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[6,8,3,7,1,2,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[6,8,5,7,1,2,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[7,8,2,4,1,3,5,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,8,2,5,1,3,4,6] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[7,8,3,5,1,2,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,8,4,6,1,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[4,3,2,6,1,5,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[5,3,2,6,1,4,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,3,2,5,1,4,7,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,5,2,4,1,3,7,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[4,3,2,7,1,5,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[5,3,2,7,1,4,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[6,3,2,7,1,4,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,4,2,7,1,3,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,4,3,7,1,2,5,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,5,3,7,1,2,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[7,3,2,5,1,4,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[7,4,2,5,1,3,6,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[7,3,2,6,1,4,5,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[7,4,2,6,1,3,5,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[7,4,3,6,1,2,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[7,5,2,6,1,3,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[7,5,3,6,1,2,4,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[4,3,2,8,1,5,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[5,3,2,8,1,4,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[6,3,2,8,1,4,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,4,2,8,1,3,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[6,4,3,8,1,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,5,2,8,1,3,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[6,5,3,8,1,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[7,3,2,8,1,4,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,4,2,8,1,3,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,4,3,8,1,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,5,3,8,1,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,5,4,8,1,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,6,2,8,1,3,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[8,3,2,5,1,4,6,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,4,2,5,1,3,6,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,3,2,6,1,4,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,4,2,6,1,3,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[8,5,3,6,1,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,6,2,4,1,3,5,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[8,6,2,5,1,3,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,3,2,7,1,4,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[8,4,2,7,1,3,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,4,3,7,1,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,5,2,7,1,3,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[8,5,3,7,1,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,6,3,7,1,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,7,2,4,1,3,5,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,7,2,5,1,3,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,7,3,5,1,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,7,2,6,1,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,7,3,6,1,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,7,4,6,1,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,6,3,5,8,1,2,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[5,6,2,4,8,1,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[4,7,2,5,8,1,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[4,7,3,5,8,1,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[5,7,2,4,8,1,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[5,7,3,4,8,1,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[4,7,3,6,8,1,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[5,7,2,6,8,1,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[5,7,4,6,8,1,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,7,3,4,8,1,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,7,3,5,8,1,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[3,8,2,5,7,1,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[4,8,3,5,7,1,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[5,8,2,4,7,1,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[3,8,2,6,7,1,4,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[5,8,2,6,7,1,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[5,8,3,6,7,1,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[6,8,2,5,7,1,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[7,8,2,4,6,1,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[7,8,2,5,6,1,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[7,8,3,5,6,1,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[4,3,2,6,8,1,5,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,3,2,6,8,1,4,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,4,2,6,8,1,3,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[5,4,3,6,8,1,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[6,3,2,5,8,1,4,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[6,4,3,5,8,1,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[6,5,2,4,8,1,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[4,3,2,7,8,1,5,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[5,3,2,7,8,1,4,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,4,2,7,8,1,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,4,3,7,8,1,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[6,4,2,7,8,1,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,4,3,7,8,1,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[7,4,2,5,8,1,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[7,4,3,5,8,1,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[7,5,2,6,8,1,3,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[7,5,3,6,8,1,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,6,2,4,8,1,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[8,4,2,5,7,1,3,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[8,5,2,4,7,1,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[8,3,2,6,7,1,4,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[8,5,2,6,7,1,3,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[8,5,3,6,7,1,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[8,6,2,4,7,1,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[8,7,2,4,6,1,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,7,3,4,6,1,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,7,2,5,6,1,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[4,3,7,2,6,1,5,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[5,4,7,2,6,1,3,8] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[6,3,7,2,5,1,4,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,4,7,2,5,1,3,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,4,7,3,5,1,2,8] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[4,3,8,2,6,1,5,7] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[5,3,8,2,6,1,4,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,4,8,2,6,1,3,7] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,4,8,3,6,1,2,7] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[6,4,8,2,5,1,3,7] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[6,4,8,3,5,1,2,7] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,5,8,2,4,1,3,7] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[6,5,8,3,4,1,2,7] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[4,3,8,2,7,1,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[5,3,8,2,7,1,4,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[5,4,8,2,7,1,3,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,4,8,3,7,1,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,3,8,2,7,1,4,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,4,8,2,7,1,3,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,3,8,2,5,1,4,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,4,8,3,5,1,2,6] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[7,5,8,2,4,1,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,5,8,2,6,1,3,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,5,8,4,6,1,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,6,8,2,5,1,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,6,8,3,5,1,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[8,5,6,2,4,1,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[8,5,7,2,4,1,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,3,7,2,6,1,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,4,7,2,6,1,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,4,7,3,6,1,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[8,5,7,2,6,1,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,6,7,2,4,1,3,5] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[8,6,7,2,5,1,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,6,7,3,5,1,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[5,4,3,2,7,1,6,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[6,4,3,2,7,1,5,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,5,3,2,7,1,4,8] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,5,4,2,7,1,3,8] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,5,3,2,6,1,4,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[7,5,4,2,6,1,3,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[5,4,3,2,8,1,6,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,5,3,2,8,1,4,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[6,5,4,3,8,1,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[7,5,3,2,8,1,4,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,5,4,2,8,1,3,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,6,3,2,8,1,4,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[7,6,4,3,8,1,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[7,6,5,2,8,1,3,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[8,5,3,2,6,1,4,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[8,5,4,2,6,1,3,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,6,5,2,4,1,3,7] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[8,5,3,2,7,1,4,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[8,6,3,2,7,1,4,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[8,6,4,3,7,1,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,7,3,2,6,1,4,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,7,4,2,6,1,3,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,7,4,3,6,1,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,7,5,2,6,1,3,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[8,7,6,2,4,1,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,7,6,2,5,1,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,7,6,3,5,1,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[4,8,3,7,2,6,1,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[5,8,3,7,2,6,1,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[5,8,4,7,2,6,1,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[5,8,4,7,3,6,1,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[6,8,3,7,2,5,1,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[6,8,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[6,8,4,7,3,5,1,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[6,8,5,7,2,4,1,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[6,8,5,7,3,4,1,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[7,8,3,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[7,8,4,6,2,5,1,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[7,8,4,6,3,5,1,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[7,8,5,6,2,4,1,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[5,4,3,8,2,7,1,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[6,4,3,8,2,7,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[6,5,3,8,2,7,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[6,5,4,8,3,7,1,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[7,4,3,8,2,6,1,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[7,5,3,8,2,6,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[7,5,4,8,2,6,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[7,6,3,8,2,5,1,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[7,6,4,8,2,5,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[7,6,5,8,2,4,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[8,4,3,7,2,6,1,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[8,5,3,7,2,6,1,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[8,5,4,7,2,6,1,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[8,5,4,7,3,6,1,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[8,6,3,7,2,5,1,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[8,6,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[8,6,5,7,2,4,1,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[8,7,3,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[8,7,4,6,2,5,1,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[8,7,4,6,3,5,1,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[8,7,5,6,2,4,1,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[6,5,4,3,2,8,1,7] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[7,6,5,4,2,8,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[8,5,4,3,2,7,1,6] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[8,7,4,3,2,6,1,5] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[8,7,5,3,2,6,1,4] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[8,7,5,4,2,6,1,3] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[8,7,6,3,2,5,1,4] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[8,7,6,4,2,5,1,3] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[8,7,6,5,2,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[8,1,2,3,4,7,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[8,1,2,3,6,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[8,1,2,3,7,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[7,1,2,3,6,4,8,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[5,1,2,3,8,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[8,1,2,3,6,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[4,1,2,8,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[8,1,2,5,3,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[7,1,2,5,3,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,1,2,6,3,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[7,1,2,6,3,4,8,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,1,2,5,3,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[8,1,2,5,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[8,1,2,6,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[6,1,2,5,3,7,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[4,1,2,8,7,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[4,1,2,7,6,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[8,1,2,5,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[8,1,2,5,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[8,1,2,7,6,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[7,1,2,5,6,3,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[4,1,2,8,6,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[8,1,2,5,6,7,3,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[3,1,8,2,4,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,1,8,2,6,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,1,8,2,7,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,1,5,2,8,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[8,1,4,2,3,5,6,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[7,1,4,2,3,5,8,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[6,1,4,2,3,8,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[8,1,4,2,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[6,1,4,2,3,7,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[8,1,5,2,3,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[7,1,5,2,3,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,1,7,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[6,1,5,2,3,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[8,1,5,2,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[6,1,8,2,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[6,1,5,2,3,7,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[5,1,4,2,8,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[8,1,4,2,7,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[7,1,4,2,6,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[8,1,5,2,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[8,1,5,2,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[7,1,8,2,6,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[7,1,5,2,6,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[5,1,4,2,8,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[8,1,4,2,6,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[8,1,5,2,6,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[3,1,8,5,2,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[3,1,7,5,2,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[3,1,8,6,2,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,1,6,5,2,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,1,8,5,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[3,1,6,5,2,7,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[8,1,4,5,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[7,1,4,5,2,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,1,4,8,2,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[7,1,4,6,2,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[8,1,6,5,2,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[7,1,8,5,2,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[7,1,8,6,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[7,1,6,5,2,3,8,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[6,1,4,5,2,8,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[8,1,4,6,2,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[8,1,6,5,2,7,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[3,1,4,8,6,2,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,1,4,7,6,2,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,1,8,5,6,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[3,1,8,5,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[3,1,8,7,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,1,7,5,6,2,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[8,1,4,5,6,2,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[8,1,4,7,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,1,7,5,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[7,1,4,5,6,2,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[3,1,4,8,6,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,1,8,5,6,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[8,1,4,5,6,7,2,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[2,5,1,3,8,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,8,1,3,6,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,4,1,8,3,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,6,1,5,3,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,8,1,5,3,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,6,1,5,3,7,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[2,4,1,8,6,3,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,1,8,7,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,4,1,7,6,3,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,8,1,5,6,3,4,7] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,8,1,5,7,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,8,1,7,6,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,4,1,5,8,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,4,1,8,6,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,8,1,5,6,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[7,3,1,2,4,5,8,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[6,3,1,2,4,8,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[8,3,1,2,4,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[6,3,1,2,4,7,8,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[5,3,1,2,7,4,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[8,3,1,2,6,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[8,3,1,2,7,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[5,3,1,2,8,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,3,1,2,6,7,8,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[7,4,1,2,3,5,8,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[6,4,1,2,3,8,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[8,4,1,2,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[6,4,1,2,3,7,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[7,6,1,2,3,4,8,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[5,8,1,2,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[8,6,1,2,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[5,4,1,2,8,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[8,4,1,2,7,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[7,4,1,2,6,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[5,8,1,2,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[5,8,1,2,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[8,7,1,2,6,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[5,7,1,2,6,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[5,4,1,2,8,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[8,4,1,2,6,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[5,8,1,2,6,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[4,3,1,7,2,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[4,3,1,6,2,8,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,3,1,8,2,7,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[8,3,1,5,2,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[7,3,1,5,2,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,3,1,6,2,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[7,3,1,8,2,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[6,3,1,5,2,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[8,3,1,5,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,3,1,5,2,7,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[8,4,1,5,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[7,4,1,5,2,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,4,1,8,2,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[7,4,1,6,2,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[6,8,1,5,2,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[8,7,1,5,2,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[8,7,1,6,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[6,7,1,5,2,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,4,1,5,2,8,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[8,4,1,6,2,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[6,8,1,5,2,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[4,3,1,5,8,2,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,3,1,5,7,2,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,3,1,8,7,2,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[4,3,1,7,6,2,8,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[8,3,1,5,6,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[8,3,1,5,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[8,3,1,7,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[7,3,1,5,6,2,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[8,4,1,5,6,2,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[8,4,1,7,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[7,8,1,5,6,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,4,1,5,6,2,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[4,3,1,5,6,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,3,1,5,8,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[4,3,1,8,6,7,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[8,3,1,5,6,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[8,4,1,5,6,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[4,3,1,5,6,7,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[2,3,5,1,8,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,3,8,1,6,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,8,4,1,3,5,6,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,7,4,1,3,5,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,6,4,1,3,8,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,8,4,1,3,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,6,5,1,3,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,8,5,1,3,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,6,8,1,3,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,6,5,1,3,7,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[2,5,4,1,8,3,6,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,5,4,1,7,3,8,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,8,4,1,6,3,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,8,4,1,7,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,7,4,1,6,3,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,8,5,1,6,3,4,7] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,8,5,1,7,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,5,4,1,6,8,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,5,4,1,8,7,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[2,8,4,1,6,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,8,5,1,6,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,5,4,1,6,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[7,3,4,1,2,5,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[6,3,4,1,2,8,5,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[7,3,5,1,2,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[6,3,7,1,2,4,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,3,5,1,2,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[8,3,5,1,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,3,8,1,2,7,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[6,3,5,1,2,7,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[7,5,4,1,2,3,8,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,8,4,1,2,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[6,7,4,1,2,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,8,5,1,2,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[6,7,5,1,2,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,5,4,1,2,8,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,5,4,1,2,7,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[6,8,5,1,2,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[5,3,4,1,7,2,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[8,3,4,1,6,2,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[7,3,4,1,6,2,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[8,3,5,1,6,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[8,3,5,1,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[7,3,5,1,6,2,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[8,5,4,1,7,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,8,4,1,6,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,8,5,1,6,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,5,4,1,6,2,8,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[8,3,4,1,6,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[8,3,5,1,6,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[8,5,4,1,6,7,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[5,3,4,1,6,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[2,3,6,5,1,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,3,8,5,1,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,3,8,6,1,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,8,4,5,1,3,6,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,7,4,5,1,3,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,8,4,6,1,3,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,7,4,8,1,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,7,4,6,1,3,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,8,6,5,1,3,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,6,4,5,1,8,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,8,4,5,1,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,8,4,6,1,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,6,4,5,1,7,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[7,3,4,5,1,2,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[7,3,4,6,1,2,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,3,8,5,1,2,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,3,6,5,1,2,8,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[7,6,4,5,1,2,8,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[6,3,4,5,1,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[8,3,4,6,1,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[8,3,6,5,1,7,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[8,6,4,5,1,7,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[2,3,8,5,7,1,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,3,8,7,6,1,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,8,4,5,6,1,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,8,4,5,7,1,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,8,4,7,6,1,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,8,7,5,6,1,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,3,4,7,6,1,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,3,7,5,6,1,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[7,3,4,5,6,1,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[2,8,4,5,6,7,1,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[9,1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 10000000
[8,1,2,3,4,5,6,9,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[7,1,2,3,4,5,9,6,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[9,1,2,3,4,5,8,6,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[7,1,2,3,4,5,8,9,6] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[6,1,2,3,4,8,5,9,7] => [[1,2,3,4,5,7],[6,8,9]] => [6,8,9,1,2,3,4,5,7] => 00100000
[9,1,2,3,4,7,5,6,8] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[9,1,2,3,4,8,5,6,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[8,1,2,3,4,7,5,9,6] => [[1,2,3,4,5,6],[7,9],[8]] => [8,7,9,1,2,3,4,5,6] => 10100000
[6,1,2,3,4,9,8,5,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[9,1,2,3,4,7,8,5,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 10100000
[8,1,2,3,9,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[9,1,2,3,6,8,4,5,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[9,1,2,8,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[7,1,2,8,3,4,5,9,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[9,1,2,8,6,7,3,4,5] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => 11010000
[3,1,9,2,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[9,1,8,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[8,1,7,2,3,4,5,9,6] => [[1,2,3,4,5,6],[7,9],[8]] => [8,7,9,1,2,3,4,5,6] => 10100000
[3,1,4,9,2,5,8,6,7] => [[1,2,5,6,7],[3,4,8],[9]] => [9,3,4,8,1,2,5,6,7] => 10010000
[9,1,8,6,2,3,4,5,7] => [[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => 11100000
[7,1,8,9,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[9,1,8,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7],[8],[9]] => [9,8,5,6,7,1,2,3,4] => 11001000
[3,1,4,5,6,7,8,9,2] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[2,9,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,8,1,3,4,5,6,9,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[2,8,1,3,9,4,5,6,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[2,4,1,6,3,8,5,9,7] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[2,4,1,5,6,7,8,9,3] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[9,7,1,2,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[8,9,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[8,7,1,2,3,4,5,9,6] => [[1,2,3,4,5,6],[7,9],[8]] => [8,7,9,1,2,3,4,5,6] => 10100000
[9,6,1,2,3,4,8,5,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[9,7,1,2,3,4,8,5,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 10100000
[9,8,1,2,3,7,4,5,6] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 11100000
[9,6,1,2,3,7,8,4,5] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 10010000
[9,8,1,2,6,7,3,4,5] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => 11010000
[8,7,1,9,2,3,4,5,6] => [[1,2,3,4,5,6],[7,9],[8]] => [8,7,9,1,2,3,4,5,6] => 10100000
[9,8,1,6,2,7,3,4,5] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => 11010000
[9,8,1,7,6,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 11110000
[8,9,1,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7],[8,9]] => [8,9,5,6,7,1,2,3,4] => 01001000
[2,3,9,1,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,3,8,1,4,5,6,9,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[2,9,4,1,6,3,8,5,7] => [[1,3,5,7],[2,4,6,8],[9]] => [9,2,4,6,8,1,3,5,7] => 10001000
[9,3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => 10100000
[6,9,8,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[9,7,8,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 10100000
[6,7,8,1,2,3,4,9,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[2,3,4,9,1,5,6,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,7,8,9,1,3,4,5,6] => [[1,3,4,5,6],[2,7,8,9]] => [2,7,8,9,1,3,4,5,6] => 00010000
[9,3,4,8,1,2,5,6,7] => [[1,2,5,6,7],[3,4,8],[9]] => [9,3,4,8,1,2,5,6,7] => 10010000
[2,3,4,5,9,1,6,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,3,4,5,8,1,6,9,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[9,3,4,5,6,1,8,2,7] => [[1,2,5,6,7],[3,4,8],[9]] => [9,3,4,8,1,2,5,6,7] => 10010000
[2,3,4,5,6,9,1,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,3,4,5,6,8,1,9,7] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[9,3,4,5,6,7,1,2,8] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => 10100000
[9,3,4,5,6,8,1,2,7] => [[1,2,5,6,7],[3,4,8],[9]] => [9,3,4,8,1,2,5,6,7] => 10010000
[2,3,4,5,6,7,9,1,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[9,3,4,5,6,7,8,1,2] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => 10100000
[2,3,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 10000000
[3,5,2,6,1,4,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,2,6,4,1,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,2,7,4,8,1,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,2,7,4,8,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[4,5,7,2,3,8,6,1] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,5,7,2,3,8,1,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,5,6,2,3,1,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,5,6,2,1,3,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,5,6,1,3,2,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,5,6,3,1,2,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,5,7,3,2,8,1,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,5,7,3,2,8,6,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,6,7,3,8,2,5,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,6,7,3,8,2,1,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,5,7,3,1,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,5,7,1,3,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[3,5,1,7,4,8,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[2,1,5,7,4,8,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,1,5,7,4,8,6,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[3,5,1,7,4,8,6,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[4,5,7,1,3,8,6,2] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,5,7,3,1,8,6,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,6,7,3,8,1,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,6,7,3,8,5,1,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,6,7,3,8,5,2,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[5,6,7,8,3,1,4,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,6,7,8,1,3,4,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,7,8,1,3,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[4,5,7,2,1,8,3,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,6,7,2,8,1,3,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,6,7,2,8,3,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,6,7,2,8,3,5,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,5,2,7,1,8,4,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,4,2,1,7,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,4,1,2,7,8,6,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,5,2,7,1,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,6,2,7,8,1,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,6,2,7,8,5,1,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,6,2,7,8,5,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[4,6,7,2,8,5,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,6,7,2,8,5,1,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,6,7,2,8,1,5,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,5,7,1,2,8,6,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[3,5,1,7,2,8,6,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[2,1,6,7,8,3,5,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[3,6,1,7,8,2,5,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[5,6,7,8,1,2,4,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,6,7,8,1,4,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[3,6,1,7,8,5,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[2,1,6,7,8,5,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[5,6,7,8,1,4,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,6,7,8,4,1,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[3,5,2,7,4,9,6,10,8,1] => [[1,4,6,8,10],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8,10] => 100010000
[4,6,8,3,9,5,10,7,2,1] => [[1,5,7,9,10],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7,9,10] => 110010000
[5,7,8,9,4,10,6,3,2,1] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9,10] => 111010000
[6,7,8,9,10,4,3,2,1,5] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => 111010000
[6,7,8,9,10,3,4,1,2,5] => [[1,2,5,9,10],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9,10] => 010010000
[6,7,8,9,10,3,4,2,1,5] => [[1,4,5,9,10],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9,10] => 110010000
[6,7,8,9,10,2,3,4,1,5] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 100010000
[6,7,8,9,10,5,4,3,2,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[6,5,8,7,3,4,1,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[3,6,7,4,5,8,1,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[2,5,4,7,6,1,8,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[3,5,4,7,6,8,1,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[4,5,3,7,8,6,1,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[5,4,3,8,7,6,1,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[6,4,8,3,7,5,1,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[6,3,8,4,5,7,1,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[5,3,4,8,6,7,1,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[4,2,5,6,8,1,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,2,4,8,6,1,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[6,2,8,4,5,1,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[7,8,2,4,5,1,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,8,1,4,5,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[6,1,8,4,5,2,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[5,1,4,8,6,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[5,1,3,8,2,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[6,1,8,3,2,5,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[7,8,1,3,2,5,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,8,2,3,1,5,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[6,3,8,2,1,7,5,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[7,8,3,2,1,6,5,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[7,8,4,2,6,1,5,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[5,4,2,8,7,1,6,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[2,5,3,7,1,6,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[1,5,3,7,2,6,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[2,6,7,3,1,5,8,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[3,6,7,2,1,8,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[7,8,5,6,2,1,4,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[6,5,8,7,1,2,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[5,4,1,8,7,2,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[5,3,1,8,2,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[4,3,1,2,8,7,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[4,2,1,3,8,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[5,2,1,8,3,4,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[6,2,8,1,3,4,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[4,3,1,2,6,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[6,3,1,5,2,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[7,3,1,5,2,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[7,4,5,1,2,8,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,4,5,1,2,3,8,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[2,1,6,5,3,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[3,6,1,5,2,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[4,6,5,1,2,3,8,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[6,5,4,1,2,3,8,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[7,5,4,1,2,8,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,7,4,1,8,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[4,7,5,1,2,8,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[3,7,1,5,2,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[2,1,8,5,3,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[3,8,1,5,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[5,8,4,1,2,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[8,7,4,1,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[5,8,6,7,1,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[4,8,6,1,7,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[2,1,8,6,7,3,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,7,6,1,8,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[5,7,6,8,1,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,4,7,1,8,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[7,4,6,1,8,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[8,4,6,1,7,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[6,3,1,7,8,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[5,3,1,7,2,8,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[4,3,1,2,7,8,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[2,1,4,3,8,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[6,3,1,8,7,2,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[8,4,7,1,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[7,4,8,1,6,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[5,4,8,1,2,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[3,5,1,8,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[2,1,5,8,3,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,1,6,8,7,3,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,6,8,1,7,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[5,6,8,7,1,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[7,5,8,6,1,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[8,5,7,6,1,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,7,8,6,1,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[4,7,8,1,6,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[2,1,8,7,6,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[3,8,1,7,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[4,8,7,1,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[5,8,7,6,1,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,8,7,5,1,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,4,7,3,8,5,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,4,7,3,5,8,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,4,7,2,5,1,8,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,4,2,7,6,1,3,8] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,4,2,7,6,1,8,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[6,4,8,3,5,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[5,4,3,8,6,7,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,4,3,6,8,7,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,3,2,6,1,7,4,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,2,6,1,7,8,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,2,6,1,8,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,4,2,6,8,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,4,2,8,6,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[6,4,8,2,5,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[5,4,2,8,6,1,3,7] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,3,2,6,1,8,4,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[4,3,2,1,6,8,5,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,3,2,1,8,6,5,7] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[5,3,2,8,1,6,4,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[7,8,3,2,1,5,4,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,8,3,2,1,5,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[5,3,2,8,1,6,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,4,2,7,8,1,6,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,3,2,7,1,8,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,3,2,7,1,6,8,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,3,2,7,1,6,4,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,3,7,2,1,5,4,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,3,7,2,1,5,8,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,3,7,2,1,8,5,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,4,7,2,8,1,5,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,3,7,2,1,8,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,3,7,2,1,4,8,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,3,7,2,1,4,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[5,3,2,7,1,4,8,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,4,2,8,7,1,3,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[7,8,4,2,6,1,3,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[7,8,3,2,1,6,4,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,3,8,2,1,7,4,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[5,3,2,8,1,7,4,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,3,2,1,8,7,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,2,1,7,5,8,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,3,2,1,7,5,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,3,2,1,8,5,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[5,3,2,8,1,4,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[6,3,8,2,1,4,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[7,8,3,2,1,4,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,3,8,2,1,4,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[4,3,2,1,8,5,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,3,2,1,5,8,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[7,8,5,6,1,2,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[6,1,8,4,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[1,6,8,4,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[7,8,1,3,2,6,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,8,2,1,3,6,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,8,1,2,3,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[6,1,8,2,3,7,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,6,8,2,3,7,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,2,8,1,3,7,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[6,2,8,4,7,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[6,3,8,4,7,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,6,8,4,7,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[2,6,8,4,7,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,6,8,3,1,7,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[1,2,5,8,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[2,4,1,3,8,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,5,3,8,1,7,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[4,2,1,3,8,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,1,2,3,8,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,3,1,2,8,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[6,3,8,1,2,7,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[6,4,8,1,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[5,6,8,7,3,4,1,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[5,6,8,7,2,1,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[4,5,1,8,7,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[1,4,5,8,7,2,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[3,5,2,8,1,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,1,2,4,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,4,5,8,7,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[4,1,3,2,6,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[6,1,3,2,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[7,1,3,2,5,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[7,1,4,2,5,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,1,4,2,5,3,8,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[2,1,6,3,5,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[3,1,6,2,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[4,1,6,2,5,3,8,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[6,2,5,1,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[5,2,6,1,4,3,8,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[5,2,7,1,4,3,8,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[5,2,8,1,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[7,2,6,1,4,3,8,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[4,1,7,2,5,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[3,1,7,2,5,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[2,1,8,3,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[3,1,8,2,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[8,2,5,1,4,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[8,2,6,1,4,3,7,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[8,1,4,3,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[7,1,5,3,8,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,1,8,2,6,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[4,1,8,2,6,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[2,1,8,3,6,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,1,7,2,6,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[5,1,7,2,6,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,2,8,1,5,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[8,1,5,2,6,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[6,1,5,2,7,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,1,4,2,7,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[8,1,4,2,6,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[6,1,3,2,7,4,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[5,1,3,2,7,4,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[4,1,3,2,7,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[2,1,4,3,8,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[4,1,3,2,8,5,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[5,1,3,2,8,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[6,1,3,2,8,4,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[8,4,7,1,3,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[8,3,7,1,4,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[5,1,4,2,8,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[3,1,5,2,8,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[2,1,5,3,8,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,1,6,3,8,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,1,6,2,8,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[5,1,6,2,8,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[6,1,5,2,8,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[8,3,7,1,5,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[7,3,8,1,5,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[6,2,8,3,7,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,3,7,2,6,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[4,1,8,3,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,1,8,4,7,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[2,1,8,4,7,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,1,7,4,8,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[4,1,7,3,8,2,6,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[7,3,8,2,6,1,5,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[8,2,6,3,7,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[7,2,6,3,8,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[3,4,2,6,8,1,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[5,3,6,2,8,1,4,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,3,6,2,4,8,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,7,3,8,2,4,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,7,3,8,2,4,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[7,4,2,5,8,3,6,1] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[7,4,2,5,8,3,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[4,5,2,6,3,8,1,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,5,2,1,6,8,3,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[5,6,2,8,1,3,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[4,1,5,6,3,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,5,1,6,3,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,5,6,3,2,8,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[6,7,4,8,3,2,5,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,7,4,8,3,2,1,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,7,4,1,8,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[7,4,5,3,1,8,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[4,7,1,5,8,3,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[5,3,7,8,1,4,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[7,5,8,2,4,6,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,3,5,8,1,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[4,5,1,7,8,3,6,2] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[7,4,1,5,8,3,6,2] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[6,7,4,3,8,1,5,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,7,4,8,3,1,5,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,7,4,8,3,5,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[5,6,7,3,8,4,2,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,6,7,3,1,8,4,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,6,1,7,3,8,4,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,1,6,7,3,8,4,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[6,4,7,1,8,3,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,7,8,3,1,4,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,1,7,4,8,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[5,1,6,7,3,2,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,1,7,3,2,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,7,3,2,1,8,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,6,7,3,2,8,4,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,6,2,7,3,8,4,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,2,7,3,1,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,2,1,7,3,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,1,7,4,2,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,7,2,1,8,3,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[5,7,3,1,8,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[4,7,1,5,2,8,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,4,2,5,1,8,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,7,4,2,1,8,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,4,2,8,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,4,2,8,3,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[5,7,3,8,2,1,4,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[3,4,7,8,2,1,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,4,7,8,2,6,1,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,7,3,8,2,6,1,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[3,6,7,2,8,5,1,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,6,7,8,5,2,1,4] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,6,7,8,5,2,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,4,7,8,2,5,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,4,7,8,2,1,5,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[4,1,5,7,8,2,6,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[6,4,1,7,8,2,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[5,1,6,2,7,8,4,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,6,1,7,2,8,4,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,1,6,7,2,8,4,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[6,4,7,1,8,2,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[3,6,7,1,8,5,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[5,1,6,7,8,4,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,6,1,7,8,4,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,6,7,1,8,4,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[8,3,2,5,1,6,4,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,5,3,6,2,4,1,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[5,3,2,7,4,1,8,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[7,5,3,8,2,4,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,2,4,5,8,3,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,2,4,5,6,3,1,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[8,2,4,5,6,1,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[8,1,2,4,5,6,3,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[8,2,5,1,3,6,4,7] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[8,5,6,2,1,4,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[8,5,3,6,4,1,2,7] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[4,5,3,7,2,1,8,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,3,6,7,2,8,5,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,3,6,7,2,8,1,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,5,3,7,1,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,1,5,3,7,2,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[5,3,4,7,1,2,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[7,5,8,2,1,4,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,5,3,8,4,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,4,5,8,3,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[4,3,6,7,8,1,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[1,6,4,7,8,3,5,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,4,7,8,3,5,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[3,5,6,7,8,4,1,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[3,1,5,6,7,8,4,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[1,5,3,6,7,8,2,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[3,5,6,7,8,2,1,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,6,7,8,2,4,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[5,3,1,7,8,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[4,5,2,7,8,1,3,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,2,6,7,8,3,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,2,6,7,8,3,5,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,7,4,2,1,5,8,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[1,7,3,4,2,5,8,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,8,4,2,1,3,6,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[7,8,3,4,2,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,3,2,7,1,8,5,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[3,6,2,7,1,8,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[6,7,3,8,2,5,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,4,7,8,5,2,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[4,6,2,7,8,1,5,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[7,4,1,5,8,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[7,5,3,8,6,1,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,8,2,1,6,3,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,3,1,7,8,2,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[2,5,6,7,8,4,1,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,6,7,1,3,8,5,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,4,7,8,5,3,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[4,5,2,3,7,6,1,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[6,4,3,7,2,5,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[4,6,2,7,3,5,1,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[5,7,6,2,4,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[8,7,5,4,1,3,2,6] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[6,8,5,4,2,1,3,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[5,8,6,2,4,1,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[3,2,8,6,5,1,4,7] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[4,1,2,6,5,8,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[7,1,5,4,8,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[1,8,6,7,4,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,1,6,7,4,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[6,1,7,8,2,4,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[4,1,2,7,8,5,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[3,2,8,7,1,5,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[5,8,7,2,1,4,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,7,6,1,4,3,2,5] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[1,7,6,8,4,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[1,6,7,8,3,4,5,2] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[8,6,7,1,3,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[3,2,6,8,4,1,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[4,6,2,8,3,1,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[5,6,8,2,3,1,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,5,8,3,2,1,4,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[7,5,8,3,1,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,5,7,3,8,4,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,4,3,7,8,5,6,2] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[4,5,2,3,8,1,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[3,2,5,4,8,1,6,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,5,2,3,1,8,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[6,4,3,1,2,8,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[8,4,3,1,7,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[7,5,1,3,8,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,6,1,2,3,8,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[3,2,6,1,4,8,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[3,2,7,1,8,4,6,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[5,7,1,2,8,3,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,7,1,8,2,3,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[7,6,1,8,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[8,6,1,7,3,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,7,1,6,5,3,2,4] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[7,8,1,6,5,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[6,8,1,7,2,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[5,8,1,2,7,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[4,8,2,1,7,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[3,2,8,1,7,6,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[4,1,2,8,7,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[5,1,8,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[7,1,8,6,5,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[8,1,7,6,5,4,2,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[3,1,2,6,5,8,7,4] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,1,5,2,4,8,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[4,6,1,2,3,8,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[1,6,5,3,4,8,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[6,1,5,2,4,8,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,5,1,2,3,8,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[5,4,1,2,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[5,4,1,2,7,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[6,4,1,7,2,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[6,4,1,8,2,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[7,4,1,2,8,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,5,1,2,8,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,1,5,2,8,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[1,7,5,3,8,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,8,5,3,7,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,1,5,2,7,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,5,1,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,4,1,2,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,4,1,7,2,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[7,4,1,6,2,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[8,6,1,7,2,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,8,6,7,3,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[7,6,1,8,2,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[4,7,1,2,8,3,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[3,1,2,7,8,5,6,4] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,4,3,8,7,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,1,2,8,7,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[3,1,2,8,7,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,1,8,2,7,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,1,8,7,2,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,1,7,6,2,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[4,7,1,6,2,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[4,8,1,7,2,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[4,8,1,2,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[5,8,1,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,1,8,2,7,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,5,8,3,7,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,6,8,7,3,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[6,8,1,7,2,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,8,7,1,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[5,8,7,1,2,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[5,8,6,1,2,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[5,7,6,1,2,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[7,8,1,6,2,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,8,7,6,3,4,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[8,1,7,6,2,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,7,1,6,2,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[3,2,5,1,6,4,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,2,5,4,7,1,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[4,2,5,3,7,6,8,1] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,2,5,3,7,1,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,2,5,3,6,1,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,2,5,1,6,3,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,1,5,3,6,2,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,3,5,1,6,2,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,3,5,2,7,1,8,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,3,6,2,7,5,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,3,6,2,7,1,8,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,3,5,1,7,2,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[3,1,5,4,7,2,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[2,1,5,4,7,3,8,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[3,1,5,4,7,6,8,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[4,1,5,3,7,6,8,2] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,3,5,1,7,6,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,3,6,1,7,5,8,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,3,6,5,7,1,8,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,3,6,4,7,2,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,6,4,7,1,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,3,6,1,7,4,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,1,6,3,7,4,8,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,1,6,3,7,2,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,3,6,1,7,2,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,3,6,2,7,1,8,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,6,2,7,4,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,2,6,3,7,4,8,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,2,6,3,7,1,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,2,6,1,7,3,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[4,2,5,1,7,3,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,2,6,1,7,3,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,2,6,3,7,1,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,2,6,3,7,5,8,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,2,5,1,7,4,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,2,4,1,7,5,8,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,1,4,2,7,6,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,2,5,1,7,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,2,6,1,7,5,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,2,6,5,7,1,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[4,2,6,5,7,3,8,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,2,6,5,7,1,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,2,6,1,7,5,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,1,5,2,7,6,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[3,1,5,2,7,6,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[2,1,6,3,7,5,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[3,1,6,2,7,5,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[5,1,6,2,7,4,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,4,6,1,7,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,1,6,4,7,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[3,1,6,5,7,2,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[2,1,6,5,7,3,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[5,1,6,4,7,3,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,4,6,1,7,3,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,4,6,3,7,1,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[8,3,5,2,1,6,4,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,2,4,5,7,3,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,2,4,6,5,3,1,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,6,3,5,1,4,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[8,6,1,4,5,3,2,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[5,7,4,3,2,1,8,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[8,5,7,4,3,2,6,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[4,6,8,3,2,7,5,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[5,4,7,3,1,8,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[1,7,4,5,3,2,8,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[3,7,5,1,4,2,8,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[5,7,4,2,1,3,8,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[8,5,7,4,2,1,6,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[8,3,7,5,1,4,6,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,4,7,6,3,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[3,6,5,8,7,4,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[3,1,5,8,6,7,4,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[3,6,4,1,8,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[8,2,6,1,4,7,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[2,7,6,8,1,4,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[1,7,3,5,6,8,2,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,3,6,7,5,8,2,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[3,7,6,5,8,2,1,4] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[2,1,6,5,7,8,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[4,2,6,8,7,3,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[3,8,2,4,6,7,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,7,2,6,4,8,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[5,3,7,2,1,8,4,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[4,7,3,2,1,5,8,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[8,7,6,1,3,4,2,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[8,5,7,3,2,1,6,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[8,3,6,7,2,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,7,8,6,2,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[8,7,6,3,5,2,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[8,4,1,5,7,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,5,7,2,1,3,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,3,6,1,7,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[4,6,1,8,7,2,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[8,1,2,5,6,7,4,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[8,2,6,5,7,4,1,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[1,7,2,5,8,6,4,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[3,7,8,1,6,5,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[8,7,6,3,5,1,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[8,7,1,5,6,4,3,2] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[8,1,6,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[6,5,3,1,2,4,8,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[4,6,3,5,1,2,8,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[8,5,3,7,2,1,4,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[6,8,1,4,5,7,3,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[8,7,2,4,5,1,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,6,2,4,5,1,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,6,1,4,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[6,1,2,4,5,3,8,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,6,3,2,1,4,8,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,4,3,6,1,2,8,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[6,3,1,4,5,2,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[3,1,6,4,5,2,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[8,3,7,4,5,1,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[5,8,7,4,2,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[2,8,7,4,1,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,1,7,4,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[3,7,8,4,5,1,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[2,1,8,7,5,3,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,1,6,8,5,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[5,6,3,8,1,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[7,6,1,4,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[3,7,6,4,5,8,2,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[8,5,7,4,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[2,5,8,4,7,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[2,4,8,3,5,6,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,8,4,2,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[6,5,3,8,4,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[2,1,5,8,4,6,7,3] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,1,4,8,3,6,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[6,4,3,8,2,1,7,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[7,3,8,4,2,6,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[8,3,1,2,5,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[3,1,8,2,5,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[4,3,8,2,5,6,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,8,2,3,5,6,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[8,1,2,3,5,6,7,4] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[7,8,2,4,3,6,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[6,8,3,2,4,1,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[5,7,3,8,1,4,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[7,1,8,4,5,3,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[2,7,8,4,5,3,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,7,1,4,3,6,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[3,8,7,4,2,6,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[5,7,8,4,3,6,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,6,3,8,4,2,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[4,8,3,6,2,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[7,5,3,8,2,4,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[2,4,3,1,8,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[7,5,3,6,2,8,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[8,6,3,5,1,2,7,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[5,8,3,2,6,1,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[4,5,3,8,6,2,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,5,8,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[5,8,2,4,7,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,7,5,4,1,6,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[7,1,6,4,5,8,2,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[2,1,8,5,3,6,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[7,8,5,4,2,6,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[8,1,4,2,5,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[2,8,4,1,5,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[4,8,1,2,5,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[3,4,8,1,5,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[3,4,2,8,5,6,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,4,1,8,5,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[4,1,2,8,5,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[8,4,2,1,5,6,7,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[7,5,2,4,8,6,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[6,5,3,2,8,1,7,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[2,1,5,3,8,6,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[6,4,3,5,8,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[7,3,5,4,8,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[8,3,4,1,5,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[3,1,4,8,5,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[6,5,3,7,2,8,4,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,3,7,4,5,8,2,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,7,2,4,5,8,3,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[5,1,7,4,8,6,3,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[5,6,3,7,1,8,4,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[3,8,7,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[3,7,5,4,8,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[5,7,1,4,8,6,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[5,6,3,1,8,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[4,6,3,5,8,2,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,6,3,8,1,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[3,2,5,1,6,8,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,6,2,5,4,8,1,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[3,5,2,4,7,1,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,8,2,4,7,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[4,2,5,8,3,7,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[5,4,2,1,6,8,3,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[4,6,1,5,3,8,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,1,6,4,3,8,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[5,4,3,2,7,1,8,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,4,3,8,2,7,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[4,3,6,2,8,7,5,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,3,7,6,2,1,8,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[6,4,3,1,7,2,8,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[1,4,7,5,8,3,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,1,3,5,8,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[2,8,5,7,4,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[1,4,5,8,7,3,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,5,4,8,7,3,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,4,3,8,1,7,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[4,8,3,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[5,3,8,7,6,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[7,5,3,1,8,6,4,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[1,5,8,6,3,7,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[6,8,7,3,1,4,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,2,8,7,4,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[1,7,6,4,8,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[5,7,1,6,3,2,8,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[6,5,3,2,8,7,4,1] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[5,2,6,3,8,7,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[5,2,7,6,3,1,8,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[6,5,2,1,7,3,8,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,2,7,4,1,8,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[2,4,8,6,3,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,8,6,2,4,7,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[7,3,6,2,4,1,8,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[4,3,7,8,2,1,5,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[8,3,7,1,4,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[3,8,2,5,7,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[8,3,6,2,7,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[7,8,3,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[8,7,3,6,2,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[5,4,8,2,7,1,6,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[4,8,1,5,7,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[5,8,7,2,6,1,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,6,2,7,5,1,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[3,6,8,1,7,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[5,1,6,8,2,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[6,5,2,8,1,7,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[5,8,2,7,6,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[6,2,8,7,5,4,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[7,6,2,1,8,5,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[6,1,7,2,8,5,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[7,5,1,8,2,6,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[4,7,1,8,6,2,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[7,8,3,1,6,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[6,8,1,7,5,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[7,1,8,6,5,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[6,4,2,7,3,5,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,4,2,6,3,5,1,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[8,4,2,6,3,1,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,2,7,6,4,5,1,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[4,7,2,6,3,5,1,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[5,7,6,2,3,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[1,6,5,2,3,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,7,5,2,8,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[6,8,5,2,3,1,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[4,8,2,6,3,1,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,2,8,6,4,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,2,1,6,4,8,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[7,1,5,2,8,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,8,5,2,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,8,6,7,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[8,1,6,7,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[7,1,6,8,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[3,2,1,7,8,4,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,2,8,7,1,4,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[5,8,7,2,1,3,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[1,7,6,8,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,5,8,2,3,1,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[8,5,7,2,1,3,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[6,4,2,8,3,1,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,2,5,4,1,8,6,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,5,2,3,1,8,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[6,4,2,1,3,8,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[7,4,2,1,8,3,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,4,2,1,7,3,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[1,4,2,8,7,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,5,8,2,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[8,5,1,2,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[7,5,1,2,8,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[6,5,1,2,3,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[4,6,2,1,3,8,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[3,2,6,1,4,8,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,2,7,1,8,4,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[7,6,1,8,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[8,6,1,7,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,6,8,7,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,7,8,6,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[7,8,1,6,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,8,1,7,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[4,8,2,1,7,3,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[3,2,8,1,7,4,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,2,1,8,7,4,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[5,1,8,2,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[6,1,8,7,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[8,1,7,6,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,8,7,6,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[6,3,5,1,2,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[4,3,5,6,1,2,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[6,5,2,7,1,8,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[8,5,2,7,4,1,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[2,6,1,5,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,4,3,5,1,2,8,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[3,1,4,6,5,2,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[5,7,4,6,2,8,3,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[8,1,4,7,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[3,4,7,8,5,2,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[2,1,8,5,7,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[8,6,3,5,1,7,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[3,4,8,6,5,7,1,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[5,1,4,6,8,2,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[2,5,4,6,7,1,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,4,6,3,7,5,8,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[4,1,6,3,8,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[3,7,4,2,8,6,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,4,1,3,5,8,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,5,8,4,1,7,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[2,1,4,8,3,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[7,4,3,8,2,1,6,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[6,3,7,4,1,8,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[8,3,1,2,5,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,1,8,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[2,3,8,1,6,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[4,3,7,2,6,8,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[3,8,2,1,7,5,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[2,8,1,3,6,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,7,8,5,4,3,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[8,7,1,6,3,4,2,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[3,8,6,7,2,4,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[5,3,8,7,4,2,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[4,3,8,7,2,1,6,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[8,3,5,6,2,7,1,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[5,3,6,1,8,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[5,6,2,8,7,4,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[7,8,5,6,1,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[2,8,6,5,4,7,1,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[8,1,6,4,5,7,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[5,8,3,6,1,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[6,7,3,5,2,1,8,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[7,1,4,2,5,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[4,6,1,2,8,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[2,4,1,5,8,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[4,1,2,5,8,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[6,4,2,1,5,8,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[7,5,3,2,6,8,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[2,1,5,3,6,8,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[7,3,5,4,6,1,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[4,3,1,5,7,6,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[3,1,4,5,6,8,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[4,5,2,6,3,1,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[6,5,2,1,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,5,2,7,4,8,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[8,5,2,7,4,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[6,3,7,5,2,8,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[5,6,3,2,4,1,8,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[3,6,2,4,1,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,6,1,3,5,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[6,7,2,3,4,8,5,1] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[8,7,2,3,4,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[5,1,7,3,8,4,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[2,5,7,3,8,6,4,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[3,6,7,4,1,8,5,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[5,6,3,7,4,8,1,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[2,1,8,7,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[5,8,3,7,4,2,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[3,8,7,4,1,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[7,8,1,3,5,2,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[5,8,7,3,2,6,1,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[2,8,6,3,1,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,8,4,1,6,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[4,8,1,2,7,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[3,8,4,2,5,7,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[2,1,5,3,8,7,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[6,5,3,2,8,7,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[7,5,2,4,8,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[3,4,2,8,5,7,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[2,4,1,8,7,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[3,1,4,8,6,5,7,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[7,1,6,5,4,8,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[3,7,5,6,8,4,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[5,7,1,6,8,2,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[8,6,2,5,1,7,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[5,6,2,1,8,7,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[7,5,2,6,3,8,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[2,4,3,1,8,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[5,6,2,8,4,3,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[4,7,2,8,1,5,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[8,7,2,1,4,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,6,8,7,1,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[5,7,8,6,3,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[2,7,8,4,5,3,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[5,7,3,8,1,4,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[2,1,5,8,4,6,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[6,5,3,8,4,1,2,7] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[7,5,8,4,3,6,2,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[2,4,8,3,5,6,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[8,4,1,3,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,1,8,2,4,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[4,3,8,2,5,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[6,3,8,4,2,5,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[2,1,4,8,3,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[6,8,2,4,3,5,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[4,8,2,3,5,1,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,8,2,1,4,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[2,8,4,1,6,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,8,4,1,6,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,8,7,6,1,4,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,8,5,6,7,4,3,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[7,5,8,6,1,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[3,5,7,6,1,4,2,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,5,7,2,4,1,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[7,5,8,2,4,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[2,8,5,3,4,7,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[2,8,5,3,4,1,7,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[2,8,5,3,4,1,6,7] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,8,7,6,1,4,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,8,5,3,4,7,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[2,8,5,3,4,6,1,7] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,8,5,3,4,6,7,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[3,5,7,2,4,6,1,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[6,5,2,8,3,1,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[7,5,8,2,4,6,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[3,5,7,6,1,4,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,5,7,2,4,1,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,7,2,4,6,8,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[6,5,2,7,3,1,8,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[4,5,2,6,3,1,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,1,2,3,7,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[5,1,6,7,4,3,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,1,6,8,7,3,4,2] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[4,1,2,3,8,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[4,1,2,3,7,6,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[4,1,2,3,8,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[7,1,6,8,4,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[6,1,2,8,4,5,7,3] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,6,8,2,3,1,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[6,5,8,2,4,3,1,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[6,5,8,2,4,3,7,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[5,1,6,7,4,3,2,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,1,6,8,7,3,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[7,1,6,8,4,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[5,7,8,6,3,4,2,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[3,1,4,8,6,2,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,1,4,8,6,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[4,5,2,6,3,7,1,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,5,2,7,3,8,1,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[3,5,6,2,4,8,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,6,2,4,8,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,7,5,6,8,4,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[6,1,2,5,8,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[7,5,2,6,3,8,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[4,1,2,3,5,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[4,1,2,3,7,8,6,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[4,5,2,7,3,8,6,1] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,1,2,6,8,5,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[4,1,2,5,6,8,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[4,5,2,6,3,7,8,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[7,8,2,1,6,5,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[2,4,8,1,5,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[4,3,8,1,7,2,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[7,8,3,4,5,1,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,8,3,5,4,2,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,8,3,6,5,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[7,8,1,6,5,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[5,3,7,1,6,4,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,3,6,2,7,4,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,1,2,5,8,7,4,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,4,3,7,5,8,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[3,7,2,8,6,4,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[3,8,1,7,6,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[2,7,5,8,3,6,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[5,6,7,3,8,4,1,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[4,5,6,7,2,8,1,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[1,5,8,6,2,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[6,3,4,5,8,7,1,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[1,6,2,4,7,8,3,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[5,7,2,4,1,6,3,8] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[6,7,5,8,1,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[5,8,7,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[5,8,7,6,2,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[4,8,2,1,5,6,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[2,1,8,7,6,5,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[5,3,7,8,2,1,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,2,8,7,1,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[3,7,8,5,1,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[3,8,7,6,5,4,1,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[6,4,2,7,1,3,8,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[7,4,2,5,1,3,8,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[8,5,3,6,1,7,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[7,3,6,2,4,8,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[4,3,7,1,2,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[5,3,6,7,1,2,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[6,3,7,4,1,2,8,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[4,7,1,5,2,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[3,7,5,1,2,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,6,4,2,3,7,1,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[5,7,4,2,3,8,1,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[6,4,7,5,2,8,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,8,2,6,3,7,1,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[3,8,6,2,4,7,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[4,8,6,2,7,1,3,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[2,6,5,8,1,3,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,5,7,4,8,1,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[3,5,7,1,4,8,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,3,7,2,4,8,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,4,7,3,8,1,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[8,4,1,6,7,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[7,4,1,6,8,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[6,5,1,2,7,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[5,3,6,4,7,8,1,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[6,3,7,4,8,5,1,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[4,7,1,5,8,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[7,5,1,2,8,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,6,1,8,5,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,6,1,7,5,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[5,7,2,8,1,6,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[6,3,7,8,5,1,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[3,6,8,2,7,1,4,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[2,4,8,7,1,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[4,3,8,7,1,2,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[5,3,8,7,1,2,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[8,3,7,6,1,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,4,7,6,1,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[3,5,8,7,1,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[2,5,8,7,1,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[6,8,4,7,5,1,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[5,8,7,1,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[2,8,7,6,1,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[3,8,7,6,1,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[4,8,7,6,1,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[7,5,3,8,2,1,6,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[3,8,7,4,5,1,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[2,1,7,8,5,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[6,5,3,1,8,4,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[8,7,1,4,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[2,3,4,5,6,7,8,1,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 10000000
[2,3,4,5,6,8,9,1,7] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[2,4,5,6,7,8,9,1,3] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[3,4,5,6,7,8,9,1,2] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[2,3,4,5,6,7,8,9,10,1] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[2,3,4,5,6,7,8,9,1,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[2,3,4,5,6,7,1,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 10000000
[2,3,4,5,6,7,8,10,1,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[2,3,4,5,6,1,9,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,3,4,5,1,8,9,6,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[2,4,5,6,7,8,9,10,1,3] => [[1,3,5,6,7,8,9,10],[2,4]] => [2,4,1,3,5,6,7,8,9,10] => 010000000
[3,4,5,6,7,8,9,10,1,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[3,6,4,5,7,2,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[5,3,2,7,4,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[7,5,3,6,2,4,8,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[8,5,3,6,2,7,1,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[6,2,7,3,4,5,8,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[5,4,7,6,2,3,8,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[6,7,3,5,2,4,8,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[3,7,6,2,4,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[8,5,2,1,7,3,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[1,6,3,2,8,4,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[5,6,2,3,1,8,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,4,8,6,2,7,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[7,8,5,2,3,6,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,8,2,1,7,3,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[1,8,6,3,7,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,8,2,7,3,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[4,2,8,3,7,1,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[8,1,2,7,3,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[6,3,7,1,2,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[3,2,1,5,8,4,6,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,3,5,1,6,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[5,4,6,3,8,7,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[3,6,4,5,8,7,1,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[6,5,3,4,8,7,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[5,3,2,8,7,1,4,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[5,3,1,8,7,2,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[6,1,8,3,7,2,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[6,3,8,1,7,2,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[7,6,8,2,3,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[3,7,8,2,4,6,1,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[6,7,3,8,2,5,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[5,4,7,8,2,6,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[4,2,5,8,7,1,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[8,2,7,6,1,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[1,2,8,7,3,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,3,8,7,2,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[6,8,3,7,5,1,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[7,8,6,2,5,1,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[8,1,6,7,3,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,1,6,7,3,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,1,5,3,7,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,1,5,3,6,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[7,5,1,3,6,2,4,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[7,5,8,3,6,2,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[7,4,8,3,2,6,5,1] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[7,4,1,3,2,6,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[8,1,4,3,2,7,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[8,1,5,3,6,2,7,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,1,4,3,2,5,7,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[7,4,1,3,2,5,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[6,4,3,1,2,5,8,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[7,4,1,3,2,5,8,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,4,1,3,2,6,8,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[7,5,1,3,6,2,8,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[7,5,1,4,6,8,2,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[7,5,8,3,6,2,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[7,4,8,3,2,6,1,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[6,4,3,7,2,5,8,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[5,4,3,2,8,6,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,4,3,2,8,7,1,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[6,5,3,8,7,2,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[6,5,4,1,7,8,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,4,3,1,2,7,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[5,4,3,2,1,8,6,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[7,5,1,4,8,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,4,1,3,2,8,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,4,3,1,2,8,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,4,3,1,2,7,5,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,4,3,8,2,7,5,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[6,5,3,8,7,2,4,1] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[6,5,3,1,7,2,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[6,5,3,1,8,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[7,5,1,3,8,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,6,8,1,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[6,5,3,7,8,2,4,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,4,3,7,2,8,5,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,4,3,7,2,1,5,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,4,8,3,2,1,6,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[7,5,8,3,1,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,8,4,1,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[5,4,3,2,8,1,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[6,4,3,7,2,1,8,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,5,4,7,1,8,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,5,3,7,8,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,4,3,7,2,8,1,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[5,4,3,2,7,8,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,4,3,2,6,8,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,6,2,1,3,4,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[7,6,1,2,5,8,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[2,1,7,8,4,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[7,8,1,2,5,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[8,4,1,3,7,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[6,5,2,1,8,7,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[3,4,7,1,8,2,6,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[1,8,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[1,7,2,4,3,5,6,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[1,6,2,4,3,5,7,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,5,2,4,3,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,7,2,5,3,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,8,2,5,3,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,8,2,6,3,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,7,2,6,3,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,8,2,7,3,5,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[1,7,2,8,3,5,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,6,2,8,3,5,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,5,2,8,3,6,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,3,2,8,4,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,2,3,8,4,6,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,2,3,7,4,6,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,3,2,7,4,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,4,2,7,3,6,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,5,2,7,3,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,6,2,7,3,5,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,7,2,6,3,5,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[1,8,2,6,3,5,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,8,2,5,3,6,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,7,2,5,3,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,6,2,5,3,7,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,5,2,4,3,7,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,6,2,4,3,7,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,7,2,4,3,6,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,8,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,7,2,3,4,6,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,8,2,3,4,7,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,8,2,4,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,7,2,4,3,8,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,6,2,4,3,8,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,5,2,4,3,8,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,6,2,5,3,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,7,2,5,3,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,8,2,5,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,8,2,6,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,7,2,6,3,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,3,8,4,7,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,3,2,8,4,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,4,2,8,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,5,2,8,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,6,2,8,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,7,2,8,3,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,8,2,7,3,6,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[4,6,3,7,2,5,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,6,3,7,5,2,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,6,3,8,5,1,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,6,3,8,5,1,2,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,6,2,7,5,3,1,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,6,8,4,3,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,6,8,4,3,1,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[5,7,8,4,1,6,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[5,7,8,4,1,3,6,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[5,6,8,4,2,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,6,8,2,4,1,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[3,2,6,8,5,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[3,2,6,8,5,1,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[5,6,8,2,4,1,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[5,6,8,4,2,1,3,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[5,7,8,4,1,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[5,7,8,4,1,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,7,8,1,5,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,7,8,1,5,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,7,8,1,3,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[5,7,8,2,1,6,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[3,2,7,8,1,6,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[3,2,7,8,1,6,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,7,8,1,5,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,7,8,1,5,4,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,7,8,1,4,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,7,8,1,4,5,3,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,7,8,1,4,3,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,7,8,1,3,4,5,2] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[5,7,8,2,1,4,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[4,7,2,8,1,5,6,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[3,2,6,8,4,1,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[5,6,8,3,2,1,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,7,8,3,1,4,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,7,8,3,1,6,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[4,7,3,8,1,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[4,7,3,8,1,5,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,6,3,8,2,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,5,3,2,8,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,5,2,3,8,1,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[3,2,5,4,8,1,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[4,5,3,2,8,1,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,6,3,8,2,1,5,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,7,3,8,1,5,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,7,3,8,1,2,6,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[4,7,3,8,1,2,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[5,7,8,3,1,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,7,8,3,1,4,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,6,8,3,2,1,4,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,7,8,2,1,4,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[6,7,8,1,3,4,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,7,8,1,4,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,7,8,1,4,2,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,7,8,1,4,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,7,8,1,2,5,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,7,8,1,2,5,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,7,8,1,2,4,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,7,8,1,3,2,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[5,7,8,2,1,3,6,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[3,2,7,8,1,4,6,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[6,7,8,1,3,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,7,8,1,2,4,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,7,8,1,2,3,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[7,2,8,5,1,6,4,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[1,3,7,5,2,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,3,7,5,4,2,6,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[7,2,8,5,4,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[2,8,4,5,6,1,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,8,4,5,3,7,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,8,4,3,5,6,1,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[7,2,8,4,5,6,1,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[6,4,8,5,1,3,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,3,7,5,2,1,8,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[4,3,7,5,1,2,8,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,3,7,1,5,6,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[3,6,1,7,5,2,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[3,4,1,2,7,6,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,4,2,1,7,5,8,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,5,2,6,4,8,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[5,3,1,8,6,4,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[5,6,1,8,7,2,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[6,5,8,4,2,3,7,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[1,6,5,7,3,4,2,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,5,2,7,4,6,3,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[5,2,1,8,7,6,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[2,7,3,5,8,6,1,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[3,2,4,7,8,6,1,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,2,4,7,1,8,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[7,3,5,6,8,4,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[6,3,5,1,8,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[2,6,1,5,8,4,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,7,6,5,8,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[5,7,1,6,3,8,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[3,2,4,1,7,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,1,4,2,7,8,6,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,6,4,7,8,2,5,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,1,4,6,8,5,7,2] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[2,5,4,6,1,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[7,2,1,4,3,6,5,8] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[7,3,4,1,2,6,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,6,3,2,5,4,1,8] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[6,7,3,2,5,4,8,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[1,8,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[7,3,5,1,6,2,4,8] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[7,3,6,1,5,4,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[1,8,6,4,3,7,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[6,5,7,4,3,1,8,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,4,7,5,1,3,8,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[3,2,1,8,5,4,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[2,5,8,4,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[2,6,8,4,3,7,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[2,7,8,4,3,6,5,1] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[1,8,7,4,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[2,7,8,5,6,3,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[2,5,8,6,7,1,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,4,8,6,1,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[3,2,1,8,6,7,4,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[5,3,7,1,6,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[1,8,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,4,6,7,1,8,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,3,6,1,7,8,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,2,1,6,7,8,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,2,1,5,7,3,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,3,5,1,7,2,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[6,5,4,7,2,1,8,3] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[1,8,4,6,2,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[5,7,3,2,6,8,4,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,6,3,2,7,8,1,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,5,3,2,7,1,8,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,4,3,2,1,7,8,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[4,6,3,2,8,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,7,3,2,8,6,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[1,8,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[1,8,4,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[3,6,4,8,2,7,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[4,3,5,1,8,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[4,2,1,5,8,3,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[3,5,6,8,7,1,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[1,8,5,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[3,5,7,8,6,1,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[2,3,8,1,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[2,4,8,7,1,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,1,4,3,6,5,8,7,10,9,12,11] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [2,4,6,8,10,12,1,3,5,7,9,11] => 00000100000
[2,1,4,3,8,7,6,5,12,11,10,9] => [[1,3,5,9],[2,4,6,10],[7,11],[8,12]] => [8,12,7,11,2,4,6,10,1,3,5,9] => 01010001000
[2,1,6,5,4,3,12,11,10,9,8,7] => [[1,3,7],[2,4,8],[5,9],[6,10],[11],[12]] => [12,11,6,10,5,9,2,4,8,1,3,7] => 11010100100
[4,3,2,1,6,5,8,7,10,9,12,11] => [[1,5,7,9,11],[2,6,8,10,12],[3],[4]] => [4,3,2,6,8,10,12,1,5,7,9,11] => 11000010000
[4,3,2,1,8,7,6,5,10,9,12,11] => [[1,5,9,11],[2,6,10,12],[3,7],[4,8]] => [4,8,3,7,2,6,10,12,1,5,9,11] => 01010001000
[6,5,4,3,2,1,10,9,8,7,12,11] => [[1,7,11],[2,8,12],[3,9],[4,10],[5],[6]] => [6,5,4,10,3,9,2,8,12,1,7,11] => 11010100100
[6,5,4,3,2,1,12,11,10,9,8,7] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => [6,12,5,11,4,10,3,9,2,8,1,7] => 01010101010
[12,11,10,9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [12,11,10,9,8,7,6,5,4,3,2,1] => 11111111111
[8,3,4,1,7,5,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[4,6,2,1,7,5,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[1,7,5,2,6,8,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[6,8,4,3,1,7,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[3,6,8,4,1,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[7,5,6,1,8,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[6,7,5,1,8,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[1,8,4,2,6,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,5,3,2,7,6,8,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[5,3,2,1,7,6,8,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[2,5,3,1,7,6,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[2,8,4,1,6,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,4,6,1,7,5,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[4,7,1,6,5,8,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[7,5,1,2,6,8,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[8,4,1,2,6,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[5,3,1,2,7,6,8,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[1,2,5,3,7,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[4,3,1,2,7,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[3,5,1,2,7,6,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[6,7,1,5,8,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[3,6,7,1,5,8,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[7,1,6,5,8,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,5,1,6,8,4,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[8,4,1,6,7,5,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[5,2,3,1,7,6,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[3,5,2,1,7,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[1,3,5,2,7,6,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,7,6,2,5,8,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,3,1,5,7,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[6,2,5,1,7,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[8,2,6,4,7,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[7,6,2,5,8,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[1,8,3,5,7,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,5,2,3,7,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[5,2,1,3,7,6,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[8,2,6,5,7,1,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[3,6,8,2,5,7,1,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[8,3,2,5,7,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[5,1,3,2,7,6,8,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[4,1,3,2,7,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,4,2,3,7,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[2,4,1,3,7,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,8,3,5,7,6,1,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,3,5,7,6,1,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[5,1,2,3,7,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[3,1,2,4,7,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[10,8,9,5,6,7,1,2,3,4] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [10,8,9,5,6,7,1,2,3,4] => 101001000
[10,6,7,3,4,8,1,2,5,9] => [[1,2,5,9],[3,4,8],[6,7],[10]] => [10,6,7,3,4,8,1,2,5,9] => 101001000
[8,5,9,3,6,10,1,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[9,6,10,2,7,8,1,3,4,5] => [[1,3,4,5],[2,7,8],[6,10],[9]] => [9,6,10,2,7,8,1,3,4,5] => 101001000
[8,4,9,2,5,10,1,3,6,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[7,4,8,2,5,9,1,3,6,10] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 101001000
[8,1,3,5,6,2,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[8,1,3,4,2,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[8,1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[2,7,8,3,4,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,6,3,8,4,5,7,1] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[6,3,2,1,4,5,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[7,3,1,4,2,6,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,4,1,5,6,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[4,7,8,5,6,1,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[3,7,8,5,6,2,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[3,7,8,4,2,6,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[3,7,8,2,4,5,1,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,6,2,8,4,5,1,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,3,6,7,4,5,8,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[3,5,2,4,8,6,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,4,2,8,7,1,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,6,5,8,7,1,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[7,4,1,2,3,8,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[2,6,4,8,3,7,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[6,2,5,1,7,3,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,5,2,1,8,3,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[2,4,6,7,3,8,5,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[4,2,6,7,3,1,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,7,8,3,2,1,6,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[5,6,3,8,1,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[4,2,5,3,7,1,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,3,6,7,2,1,8,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,6,7,2,8,1,5] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,4,2,5,6,8,1,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[5,1,2,7,8,6,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[4,7,1,8,6,5,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[4,7,1,2,8,6,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[4,6,8,1,2,7,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[6,8,7,3,5,1,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[7,8,1,6,3,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,8,1,3,6,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,8,3,6,5,2,1,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[7,8,2,3,6,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[8,5,7,1,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,5,7,1,2,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,8,2,7,1,3,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[6,2,4,8,7,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[1,6,8,3,7,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,6,8,3,4,7,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[6,2,4,8,1,7,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[6,8,7,2,3,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[6,8,2,1,7,3,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,5,7,2,1,6,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,5,7,1,2,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,7,6,2,1,4,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,5,7,2,3,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[5,8,4,2,7,1,6,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[1,8,7,5,3,4,6,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,8,7,3,5,4,6,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[8,2,5,4,7,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,5,2,7,3,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,7,6,2,4,3,1,5] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[8,7,6,1,2,4,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,7,6,1,4,2,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,7,6,4,1,3,2,5] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[5,8,4,7,2,1,6,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[1,8,7,5,4,3,6,2] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[1,6,8,4,3,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[6,8,7,3,2,5,1,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[6,8,1,7,3,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,1,2,6,5,7,4,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[4,8,5,7,1,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[4,8,5,7,1,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[4,8,5,1,7,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[6,8,1,3,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[1,6,4,8,3,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[8,5,3,7,2,1,6,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[8,7,6,3,1,4,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,7,6,1,3,2,4,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[8,5,3,2,7,1,6,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[8,2,4,5,7,1,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,5,2,3,7,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,3,1,5,2,7,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,5,4,2,1,7,6,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[6,5,4,2,1,3,8,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[6,5,4,2,3,1,8,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[6,3,2,5,1,4,8,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[6,5,4,3,1,2,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,5,4,1,3,2,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[8,7,4,1,6,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,7,4,1,6,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,5,4,3,1,7,6,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[8,3,2,5,1,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[2,1,8,5,3,7,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,3,2,5,1,7,4,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[8,7,4,1,6,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,7,4,1,6,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,7,6,5,2,1,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[8,7,4,3,6,2,1,5] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[8,3,2,7,6,4,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[2,1,8,7,6,4,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,1,8,7,6,4,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,3,2,7,6,4,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,7,4,3,6,2,5,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[8,7,6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1111110
[8,7,4,2,6,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[8,7,4,2,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,7,4,2,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,3,1,7,6,4,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,3,1,7,6,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,3,1,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[8,3,1,7,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,3,1,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,7,4,2,6,1,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[8,7,4,2,6,5,1,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[8,3,2,5,4,7,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[2,1,8,5,4,7,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[8,3,2,7,6,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[8,7,4,3,6,5,1,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[8,7,6,5,3,1,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[8,7,6,5,1,3,2,4] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[8,7,6,5,1,3,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[8,7,6,5,1,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1111110
[8,7,6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1111110
[8,7,4,3,6,1,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[8,3,2,7,6,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[2,1,8,7,6,3,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,3,2,7,6,1,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,7,6,5,1,4,2,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[8,7,6,5,1,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[7,3,5,1,8,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[7,3,4,1,8,5,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[4,5,6,2,1,8,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[7,4,3,1,8,6,5,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[7,6,5,1,8,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[6,4,2,1,8,7,5,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[1,5,3,2,7,6,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[5,3,2,1,8,7,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[2,5,3,1,7,8,6,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[2,6,5,1,7,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[4,5,7,1,6,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[6,5,1,2,8,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,4,1,2,8,5,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[5,3,1,2,8,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[6,1,2,5,8,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[7,1,3,4,8,2,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,1,5,6,8,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[2,6,1,5,7,8,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[7,4,1,6,8,5,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[1,6,2,5,7,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[6,2,1,5,8,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[7,3,1,5,8,6,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[6,2,4,1,8,5,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[6,2,5,1,8,4,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[1,6,2,4,7,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[5,2,1,3,8,7,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[7,4,1,3,8,5,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,5,1,3,8,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,6,1,4,8,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[4,2,1,3,8,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[7,1,4,6,8,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[7,1,3,5,8,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[6,1,2,4,8,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,2,3,1,6,4,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[7,4,5,2,3,1,8,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[8,6,7,3,5,2,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[6,3,5,2,4,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[5,2,4,1,6,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[4,1,6,3,5,2,8,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[6,3,4,1,5,2,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[5,2,6,3,4,1,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,2,8,6,7,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[6,2,7,3,4,1,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[7,3,4,1,5,2,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[4,1,7,3,5,2,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[3,1,7,4,5,2,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[2,1,7,4,5,3,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[8,6,7,3,4,1,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[8,5,6,2,7,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[5,1,8,4,7,3,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[2,1,8,5,7,4,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[2,1,7,4,6,3,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[3,1,7,4,6,2,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[4,1,7,3,6,2,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,1,7,3,6,2,8,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[6,2,7,3,5,1,8,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[6,2,8,4,7,3,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[8,4,7,3,6,2,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[7,3,6,2,5,1,8,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,2,5,1,7,3,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[5,2,4,1,7,3,8,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[8,5,7,3,6,2,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[8,5,7,4,6,2,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[6,2,3,1,7,4,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[3,1,4,2,8,6,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[8,5,6,2,3,1,7,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[7,3,8,5,6,2,4,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[8,5,6,2,4,1,7,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[5,2,4,1,8,6,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[4,1,5,2,8,6,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,1,5,2,8,6,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,1,6,3,8,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[3,1,6,2,8,5,7,4] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[4,1,6,2,8,5,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[7,3,8,4,6,2,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,2,7,3,8,4,5,1] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[8,4,5,1,6,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,1,8,4,6,2,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[4,1,8,5,6,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,1,8,5,6,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,1,8,5,6,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,1,7,4,8,5,6,3] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[3,1,7,4,8,5,6,2] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[4,1,7,3,8,5,6,2] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[7,3,8,4,5,1,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,3,6,2,8,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[7,8,5,6,1,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[1,3,8,4,7,2,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[7,8,2,4,5,6,1,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,8,4,5,3,1,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[1,5,8,4,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,6,1,4,3,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[2,6,4,8,3,7,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[2,4,8,5,3,1,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[2,5,8,1,4,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[1,6,2,4,7,3,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[7,5,3,6,2,4,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[5,7,3,6,1,4,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,3,6,7,2,1,8,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,3,1,2,4,5,8,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,4,7,2,5,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[3,5,6,7,8,1,4,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[3,6,5,7,8,2,1,4] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[2,1,6,8,4,5,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[3,1,8,5,4,6,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[4,3,7,8,1,2,6,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[1,7,3,8,5,2,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[5,7,8,6,3,2,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[5,7,8,6,1,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[2,6,3,4,5,8,1,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[7,2,1,4,8,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[5,6,2,7,3,1,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,7,1,5,2,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,1,5,2,8,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[7,1,5,3,4,2,8,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[6,8,1,2,3,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[5,8,2,3,7,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,5,3,6,8,4,7,1] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[2,1,4,7,8,5,6,3] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,5,7,8,1,4,6,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[3,5,7,4,1,6,2,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,2,8,4,6,1,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,2,1,8,6,3,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[1,4,2,7,5,8,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[5,3,8,7,6,2,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[5,8,4,7,6,2,1,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[5,8,7,4,3,6,1,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[6,4,8,3,1,7,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[5,8,3,7,1,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[4,5,1,2,7,6,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[4,5,1,2,6,8,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,6,2,7,5,1,4,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[4,2,6,1,7,3,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,5,3,1,7,6,2,8] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[3,5,2,7,8,1,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,1,4,7,5,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[4,2,5,6,1,8,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[1,2,7,5,3,8,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[4,1,2,7,3,8,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[3,1,2,6,8,5,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,7,1,2,5,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[3,4,7,5,1,8,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[2,7,4,1,5,8,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[5,2,8,1,3,7,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[2,1,6,8,3,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,8,6,4,1,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[3,6,4,8,5,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[6,3,7,4,5,1,8,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[2,6,3,7,5,8,1,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[5,2,7,3,6,8,1,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[5,7,4,6,2,8,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,7,3,4,6,1,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,3,8,4,6,1,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[4,2,8,3,6,7,1,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,4,8,1,7,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[4,8,3,1,7,2,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[5,2,8,4,7,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[5,8,4,7,3,1,6,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[6,3,8,2,7,1,5,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[6,3,1,8,2,4,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[5,3,8,1,2,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,1,8,4,2,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,6,2,8,5,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[6,8,5,3,1,7,4,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[8,4,5,1,2,6,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,6,3,7,1,2,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[1,6,3,7,2,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,3,2,7,8,5,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[4,5,7,8,3,1,6,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,7,2,5,8,1,6,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[8,1,3,4,6,2,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,8,2,4,6,7,1,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[2,4,5,6,8,1,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[5,6,2,3,7,8,1,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,8,7,3,4,1,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,8,4,7,2,5,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[5,4,8,7,2,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[5,4,8,7,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[4,3,8,7,6,1,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[8,3,4,6,5,1,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[3,8,4,7,5,1,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[3,4,8,7,6,1,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[3,5,8,7,6,1,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[4,5,8,7,6,1,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[3,5,8,1,7,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[2,5,8,7,1,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[2,4,8,7,1,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,8,4,7,1,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,2,4,6,1,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[8,1,4,6,2,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,8,4,7,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,4,8,7,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,5,8,7,2,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,5,8,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[2,5,8,3,7,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[1,4,2,8,7,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[1,3,8,2,7,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,8,3,2,7,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,2,3,1,6,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,8,3,1,7,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,3,8,1,7,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[3,4,1,8,7,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[4,3,1,8,7,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[4,2,1,8,7,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[3,8,2,1,7,5,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[8,3,2,1,6,5,4,7] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[4,2,8,7,1,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[5,2,8,7,1,6,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[5,2,8,1,7,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[5,3,8,1,7,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[5,3,8,2,7,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[6,8,3,2,7,5,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[6,8,3,1,7,5,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[6,8,2,1,7,5,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[6,8,2,7,1,5,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[6,8,7,2,1,4,3,5] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[5,8,7,1,2,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[5,2,8,3,7,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[5,1,8,7,2,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[4,1,8,7,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,8,1,7,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,4,1,6,2,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[3,8,1,2,7,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,1,8,2,7,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,1,2,8,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[4,1,3,8,7,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[3,1,4,8,7,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[2,1,8,3,7,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,8,1,3,7,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,2,1,3,6,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,1,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,8,2,3,7,5,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[1,2,8,3,7,6,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,4,3,6,8,2,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[3,1,6,2,5,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,5,1,8,2,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,4,2,6,5,8,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[3,1,6,5,8,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[1,6,4,2,5,8,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[1,2,6,5,4,8,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,2,5,4,7,3,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[4,1,2,6,3,8,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[7,1,5,4,2,8,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[1,4,7,5,2,8,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,1,3,5,2,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,4,2,8,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,2,5,3,8,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,2,8,6,5,3,7,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,5,2,8,6,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[6,2,1,8,7,3,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[7,6,2,1,8,3,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[1,7,5,2,6,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,6,2,7,5,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,2,7,6,5,3,8,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,2,6,5,3,8,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[1,5,2,6,3,8,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[1,5,2,7,6,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,6,5,2,7,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[4,1,2,8,6,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[4,3,7,1,8,2,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,8,7,3,2,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,4,2,8,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,7,4,2,8,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[8,1,5,4,2,7,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,5,3,1,7,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,8,5,2,6,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[1,5,2,7,3,8,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,2,8,5,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,2,6,3,8,7,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,2,7,6,3,8,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,6,2,7,3,8,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,7,2,8,5,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,7,4,2,8,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,8,7,3,2,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,4,2,8,7,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,2,8,7,5,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,2,8,6,3,7,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,2,7,3,8,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[4,1,7,3,6,5,8,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[5,1,8,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,1,7,6,3,4,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[5,7,1,6,2,4,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[8,1,4,5,3,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[6,1,4,5,3,8,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,1,4,5,3,7,8,2] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[5,1,7,8,6,2,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,1,4,8,3,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[7,1,4,5,3,8,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,1,4,5,3,6,8,2] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[7,4,1,5,2,6,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[6,3,5,7,2,1,4,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,3,5,7,2,1,8,4] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[5,8,7,6,2,4,1,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[5,4,8,6,3,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,4,1,8,2,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[8,4,1,5,2,6,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[6,3,5,8,2,1,4,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[8,3,5,6,2,1,4,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[2,3,8,5,1,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,3,8,6,1,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,3,5,7,2,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[7,3,5,6,2,8,1,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[7,3,5,8,2,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,3,5,6,2,1,4,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[2,7,6,5,8,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[8,7,5,6,1,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[2,6,4,1,8,5,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[2,6,1,3,8,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[7,3,5,1,2,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[6,4,1,8,3,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[2,8,6,7,4,3,1,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,3,5,7,2,4,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[2,8,6,1,7,3,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,3,8,1,6,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,8,6,1,4,3,5,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[1,2,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 10000000
[2,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 10000000
[1,2,3,4,5,6,7,8,10,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[2,1,3,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[9,1,2,3,4,5,6,7,10,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[1,8,2,3,4,5,6,9,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[7,1,2,3,4,5,6,9,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[2,1,9,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,8,1,3,4,5,6,7,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[2,10,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[8,5,6,3,4,1,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[8,6,5,4,3,1,7,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[1,7,6,5,4,2,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,8,6,5,2,7,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,8,5,4,2,1,7,3] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[5,8,6,2,4,1,7,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[3,2,8,6,5,1,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,2,1,7,6,4,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[4,1,3,7,6,2,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,1,7,3,6,2,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[6,1,7,5,3,2,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[7,1,6,5,2,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[8,1,6,5,2,3,7,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,2,7,6,3,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,2,8,3,7,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[8,1,7,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[5,1,8,3,2,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[4,1,3,8,2,7,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[3,2,1,8,4,7,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,2,8,7,1,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[4,8,2,7,1,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[5,8,7,2,1,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[8,7,6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1111110
[1,8,7,2,6,5,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[1,7,8,2,5,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[8,6,7,1,4,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[7,6,8,1,4,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[6,5,8,3,2,1,7,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[7,5,8,3,1,4,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[8,5,7,3,1,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[1,5,4,8,2,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[8,4,3,7,1,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[7,4,3,8,1,5,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[7,4,3,1,2,6,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[8,4,3,1,2,5,7,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,5,4,2,3,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[8,5,1,4,2,3,7,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,5,1,4,2,6,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[6,5,1,4,3,2,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[5,6,1,3,4,2,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[4,6,2,1,5,3,7,8] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[3,2,6,1,5,4,7,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,2,7,1,4,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,7,1,3,2,6,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[6,7,1,2,4,5,3,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[7,6,1,2,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[8,6,1,2,5,3,7,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,7,2,3,6,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[8,7,1,2,3,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[7,8,1,2,3,5,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[5,8,1,3,2,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[4,8,2,1,3,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[3,2,8,1,4,5,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[4,1,3,2,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[5,1,2,4,3,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[7,1,2,3,4,6,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[8,1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[6,7,3,8,5,1,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[6,7,4,5,1,8,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[5,4,7,6,8,1,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[3,4,8,6,7,1,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[4,5,6,7,1,8,3,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,5,6,2,7,4,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,6,1,7,8,4,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[2,5,6,8,1,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[8,2,4,5,1,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[1,4,8,6,2,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[1,5,6,8,2,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[1,4,2,6,8,5,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[8,1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[2,8,3,1,5,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,4,1,6,8,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[5,2,7,8,1,6,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[5,3,7,2,6,4,8,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,7,1,2,8,4,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,7,1,3,4,8,5,2] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[5,2,7,3,4,6,8,1] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[5,1,7,3,4,8,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,1,7,8,2,3,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[4,1,8,7,2,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[3,8,1,2,7,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[4,1,3,7,5,8,6,2] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[3,1,4,5,7,8,6,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[2,1,8,3,4,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[1,8,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,2,8,3,4,6,7,5] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[5,2,6,1,4,8,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[5,2,6,4,1,8,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[5,2,7,4,8,1,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[5,2,7,4,8,6,1,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[5,7,2,3,8,6,1,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[5,7,2,3,8,1,6,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[5,6,2,3,1,8,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[5,6,2,1,3,8,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[5,6,1,3,2,8,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[5,6,3,1,2,8,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[5,6,3,2,1,8,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,7,3,2,8,1,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,7,3,2,8,6,1,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,7,3,8,2,1,5,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,7,3,8,1,2,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[5,1,7,4,8,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[1,5,7,4,8,3,6,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[1,5,7,4,8,6,3,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,1,7,4,8,6,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,7,3,8,1,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[6,7,3,8,5,2,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,7,8,3,1,4,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,7,1,8,3,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[6,1,7,8,4,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[1,6,7,8,4,5,3,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,6,7,8,4,3,5,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,1,7,8,4,2,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,7,1,8,3,2,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[5,7,2,1,8,3,6,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[5,2,7,1,8,4,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[4,2,1,7,8,5,6,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[4,1,2,7,8,6,5,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[6,7,2,8,5,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,7,2,1,8,6,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[5,7,1,2,8,6,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[5,1,7,2,8,6,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[1,5,7,3,8,6,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[1,6,7,8,3,5,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[6,1,7,8,2,5,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,7,1,8,2,5,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,7,8,2,4,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,1,8,5,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,1,7,8,5,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[1,6,7,8,5,3,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[6,1,7,8,5,4,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,7,8,4,1,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,3,4,5,8,7,2,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,6,1,4,8,7,3,2] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[3,6,4,8,5,7,1,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[5,1,4,8,6,3,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[6,3,8,4,2,7,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[4,3,8,5,6,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,6,4,2,8,7,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,3,7,5,2,8,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[5,7,1,4,8,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[7,8,3,5,1,4,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[5,8,1,4,6,7,2,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[6,5,8,4,3,7,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[6,3,7,4,2,8,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[8,7,1,6,2,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[5,6,1,8,7,3,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[7,5,3,6,4,2,8,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[6,4,1,5,3,8,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[7,2,6,3,5,4,8,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[6,2,7,4,3,5,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[3,7,6,4,5,2,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[2,7,6,5,3,4,8,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[6,5,4,3,1,8,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[8,6,5,4,2,7,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[1,6,5,3,4,8,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[6,5,8,4,2,7,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[5,8,2,6,4,7,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[7,8,5,3,2,6,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[6,8,3,1,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[1,8,6,3,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,7,5,2,6,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[8,7,1,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[7,8,1,6,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[2,8,1,7,3,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[4,8,1,3,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[4,2,8,5,7,3,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[5,1,7,6,8,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[6,7,3,1,8,4,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[1,7,3,8,4,5,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,7,2,8,5,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[7,6,1,8,4,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[8,6,1,7,4,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,1,2,7,3,4,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[7,1,2,8,3,5,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[4,2,1,5,8,3,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[5,4,3,1,6,8,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[4,7,5,6,8,3,2,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[6,5,4,8,2,7,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[8,6,4,7,5,3,2,1] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[3,6,8,2,4,7,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[2,3,8,7,4,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[2,1,8,7,5,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,2,7,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[8,1,7,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[1,2,8,7,6,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,3,8,7,4,6,2,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[6,8,7,2,5,4,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[3,8,7,6,4,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[2,8,7,6,5,3,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[1,8,7,6,5,4,2,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[5,8,6,7,3,4,1,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[3,8,6,7,4,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[2,8,6,7,4,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[1,8,6,7,4,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[6,8,3,7,4,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,7,4,8,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[4,7,3,8,5,6,1,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,7,2,8,5,6,1,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[4,7,1,8,5,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[3,7,1,8,5,6,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[2,7,3,8,5,6,1,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[2,7,4,8,5,6,1,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[5,8,2,7,4,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[6,8,2,7,4,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[6,8,1,7,4,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[1,7,4,8,5,6,2,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,7,3,8,5,6,2,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[2,8,5,6,1,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[1,8,5,6,2,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[4,8,1,7,3,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[6,8,1,7,3,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[7,8,2,6,3,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[6,8,2,7,3,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[5,8,2,7,3,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[4,8,2,7,3,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[3,7,2,8,4,6,1,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[1,8,4,7,3,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[2,8,4,7,3,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[3,8,4,7,2,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,8,5,7,2,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[2,8,5,7,3,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[1,8,6,7,3,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[2,8,6,7,3,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[3,8,6,7,2,5,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[5,8,6,7,2,4,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[5,8,6,7,1,4,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[4,8,6,7,1,5,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[3,8,6,7,1,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[1,5,2,8,6,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[2,5,1,8,6,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,6,1,8,5,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[1,6,2,8,5,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[3,8,5,7,1,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[6,8,4,7,1,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[7,8,3,6,1,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[6,8,3,7,1,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[4,8,3,7,1,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,8,4,7,1,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[3,7,2,6,1,8,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[4,8,1,6,2,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[5,8,1,6,2,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[7,8,1,5,2,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,8,2,5,1,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[6,8,2,5,1,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[5,8,2,6,1,7,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[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] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 10000000
[1,3,4,5,6,7,8,9,2] => [[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => 10000000
[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] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[1,2,3,4,5,6,7,9,10,8] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 100000000
[1,2,3,4,5,6,8,9,10,7] => [[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => 100000000
[1,2,3,4,5,7,8,9,10,6] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => 100000000
[1,2,3,4,6,7,8,9,10,5] => [[1,2,3,4,5,7,8,9,10],[6]] => [6,1,2,3,4,5,7,8,9,10] => 100000000
[1,2,3,5,6,7,8,9,10,4] => [[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => 100000000
[1,4,3,5,6,7,8,9,2] => [[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => 11000000
[1,2,4,5,6,7,8,9,10,3] => [[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => 100000000
[3,2,4,5,6,7,8,9,1] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[1,3,4,5,6,7,8,9,10,2] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => 100000000
[6,7,4,8,3,5,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,7,4,5,2,8,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,7,4,6,2,3,1,8] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[6,8,4,5,3,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[5,8,4,6,3,7,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,6,4,8,3,7,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,6,3,7,2,4,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,6,3,7,2,8,1,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,6,3,8,2,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,6,4,8,2,7,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,8,4,6,2,7,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[6,8,4,5,2,7,1,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[6,8,4,5,2,3,1,7] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[5,8,4,6,2,3,1,7] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,6,4,8,2,3,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[5,6,3,8,2,4,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,6,3,4,2,8,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[4,6,3,5,2,7,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,6,3,5,2,8,1,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,6,3,8,2,5,1,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,8,3,6,2,5,1,7] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[5,8,3,6,2,4,1,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[7,8,3,5,2,4,1,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,8,3,5,2,6,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[5,8,3,6,2,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[4,8,3,6,2,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,6,3,8,2,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,6,3,7,2,8,1,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,7,3,6,2,5,1,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,7,3,6,2,8,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,7,3,8,2,6,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[5,7,4,8,2,6,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,7,3,6,2,8,1,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,7,3,6,2,4,1,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,7,3,5,2,4,1,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,7,3,5,2,8,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,7,4,8,2,5,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,7,4,8,2,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,3,8,2,4,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,7,3,4,2,8,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[5,7,3,4,2,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,7,3,4,2,8,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,7,4,8,2,3,1,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,8,4,7,2,3,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,8,4,7,2,3,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,8,4,6,2,3,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[7,8,3,6,2,4,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,8,3,7,2,4,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[5,8,3,7,2,4,1,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,8,3,7,2,5,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,7,3,8,2,5,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,7,3,5,2,8,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,7,3,5,2,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,5,3,7,2,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,5,3,7,2,8,1,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,5,3,8,2,7,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,8,3,5,2,7,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[5,8,3,4,2,7,1,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[6,8,3,4,2,7,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[7,8,3,4,2,6,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,8,3,4,2,5,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,8,3,4,2,6,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,8,3,5,2,6,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,5,3,8,2,6,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,5,3,6,2,8,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,7,5,2,1,8,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[5,6,4,2,3,1,8,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[6,4,5,3,1,2,8,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,4,6,1,3,2,8,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[5,4,8,1,3,7,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,4,7,1,3,8,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[6,4,8,1,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[5,6,8,7,2,1,3,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[8,5,7,6,4,2,1,3] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[6,3,2,8,7,4,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[2,1,6,8,7,4,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[2,1,7,8,6,4,5,3] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[7,3,2,8,6,4,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,6,8,5,2,4,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[5,7,8,6,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[5,8,7,6,3,2,1,4] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[6,8,7,5,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[5,8,4,2,3,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[7,8,4,2,6,5,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[4,8,7,2,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,8,6,2,7,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[3,8,1,6,7,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[3,7,1,6,8,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[6,7,4,2,8,1,5,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,8,4,2,7,5,1,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[8,3,2,6,7,5,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[5,8,6,7,3,1,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[7,6,5,8,1,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[8,6,5,7,4,1,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[7,3,2,6,8,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[7,5,6,8,1,4,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,5,7,8,1,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[8,1,3,7,4,6,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[5,2,8,7,4,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[1,6,2,5,4,7,3,8] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[6,2,7,5,4,8,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[8,1,3,5,4,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[6,1,5,4,3,8,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,1,8,3,4,5,7,2] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[7,1,5,3,4,8,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,1,4,3,5,6,8,2] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[8,1,3,4,5,6,7,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,7,2,4,5,6,3,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[6,3,2,7,5,1,8,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,5,8,2,4,7,3,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[8,5,2,1,4,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[6,5,2,8,4,1,3,7] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[5,6,2,1,4,8,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[3,6,1,8,5,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,4,1,2,8,6,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[4,3,1,2,6,8,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[5,8,1,6,3,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,3,1,5,2,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[3,8,2,6,1,5,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,8,6,7,2,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[8,5,6,4,2,1,7,3] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[7,2,5,8,3,1,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[1,7,5,6,3,2,4,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[6,1,2,3,8,5,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[7,1,2,3,6,5,8,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[1,5,7,3,2,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,8,2,4,1,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[8,7,2,6,3,4,1,5] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[8,1,6,7,4,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[3,5,8,7,2,4,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[2,4,1,3,8,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,5,8,3,1,7,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[8,6,1,3,7,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[2,8,1,3,6,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[6,8,2,3,4,1,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1] => 11111111
[8,9,7,6,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 11111110
[8,7,9,6,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 11111110
[8,7,6,9,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 11111110
[8,7,6,5,9,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 11111110
[8,7,6,5,4,9,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 11111110
[8,7,6,5,4,3,9,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 11111110
[8,7,6,5,4,3,2,9,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 11111110
[8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 11111110
[9,10,8,7,6,5,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[7,8,9,6,5,4,3,2,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[9,8,10,7,6,5,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[8,6,7,9,5,4,3,2,1] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => 11111100
[9,8,7,10,6,5,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[9,8,7,6,10,5,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[9,8,7,6,5,10,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[9,8,7,6,5,4,10,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[9,8,7,6,5,4,3,10,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[8,7,6,5,4,3,1,2,9] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => 11111100
[9,8,7,6,5,4,3,2,10,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[9,8,7,6,5,4,3,2,1,10] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[1,4,2,7,8,6,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,6,2,4,8,5,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,6,2,4,7,5,3,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,7,3,8,5,2,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,2,3,1,8,5,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[8,2,5,1,7,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[6,2,1,8,3,4,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[6,2,4,8,5,7,1,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[1,3,6,4,8,5,7,2] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,3,6,4,7,5,8,2] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[6,2,1,3,7,8,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[7,8,2,1,4,3,5,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[5,7,2,3,1,6,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[7,5,4,2,6,8,1,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[1,7,5,3,4,6,8,2] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[5,2,6,3,1,8,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[8,2,6,4,3,1,7,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,2,7,4,1,3,5,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[1,2,8,4,3,5,6,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[1,7,4,2,3,5,6,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[6,8,4,1,3,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,6,3,8,2,4,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[5,3,8,1,2,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,1,8,3,2,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,7,3,1,2,6,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[1,7,5,4,2,6,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,5,8,2,4,6,3,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,5,8,4,2,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,4,6,2,8,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[5,3,1,6,7,2,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[1,6,3,2,7,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,7,4,5,3,8,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,3,4,1,2,5,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[1,8,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[8,6,3,2,4,1,7,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[8,5,3,2,6,7,1,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[4,5,2,6,8,1,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,2,5,6,7,8,1,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[6,2,3,4,1,7,8,5] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,2,3,1,4,5,8,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[8,6,1,4,3,2,5,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[3,7,5,1,8,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,1,2,4,6,5,3,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[8,1,2,5,4,6,3,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[8,2,6,5,1,3,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,1,2,6,4,5,3,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[8,1,2,5,6,4,3,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[8,1,2,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[1,7,5,4,2,8,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[5,1,4,8,2,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,4,6,8,2,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[1,4,7,6,2,8,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,7,4,5,2,8,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[3,7,5,1,2,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[5,2,8,7,1,3,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[1,4,6,2,8,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[1,4,2,8,6,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[3,1,2,7,4,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,4,7,2,6,8,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,2,3,6,8,5,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,4,2,7,6,8,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,4,2,6,8,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[3,1,2,8,4,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[5,3,7,1,8,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,7,4,3,2,5,8,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[4,8,7,2,1,3,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[1,4,2,7,8,3,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[5,2,8,1,3,4,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[2,1,8,6,3,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[1,4,2,6,8,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[1,2,3,7,8,5,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,2,3,7,5,8,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,4,2,7,3,8,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,2,3,8,7,5,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[10,1,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[10,1,2,3,4,5,6,9,7,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[10,1,2,3,4,5,9,6,7,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[9,1,2,3,4,10,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[10,1,2,3,9,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[10,1,2,9,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[9,1,10,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[10,9,1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[8,1,2,3,4,5,6,9,10,7] => [[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => 010000000
[7,1,2,3,4,5,10,9,6,8] => [[1,2,3,4,5,6,8],[7,9],[10]] => [10,7,9,1,2,3,4,5,6,8] => 101000000
[2,9,10,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2,9,10]] => [2,9,10,1,3,4,5,6,7,8] => 001000000
[5,7,8,4,2,6,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[8,6,3,7,2,1,5,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[7,6,3,8,2,1,5,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[6,7,8,3,2,1,5,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[4,7,8,3,2,1,5,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[5,7,8,3,2,1,4,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[8,6,3,7,2,1,4,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[2,6,4,7,3,5,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,4,3,2,1,7,5,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,4,3,2,1,8,6,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[6,4,3,2,1,8,7,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[8,5,4,2,6,7,1,3] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,5,3,2,6,1,7,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[7,5,3,2,6,1,8,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[2,6,4,7,3,8,5,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[3,5,4,2,7,8,1,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[8,5,3,7,2,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[8,5,7,4,2,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[7,5,8,4,2,6,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[2,1,7,8,5,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[6,8,3,7,5,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[3,2,6,4,8,5,1,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,5,2,4,1,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[4,2,5,8,3,1,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,1,5,8,3,2,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,3,8,5,2,1,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,3,6,2,5,1,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,6,3,2,5,1,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,3,6,1,5,2,7,8] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,6,3,1,5,2,7,8] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,3,6,4,1,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,6,2,7,1,3,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[4,5,2,7,3,1,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[3,5,2,7,4,6,1,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,7,2,4,8,5,1,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[7,3,1,4,6,8,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,2,6,1,5,7,4,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[6,3,2,1,5,7,4,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,4,2,1,5,3,7,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,2,6,1,5,3,7,8] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[7,4,1,5,6,2,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[7,3,1,5,2,6,4,8] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[6,3,5,1,2,7,4,8] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[3,6,5,1,2,7,4,8] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[6,5,2,1,4,7,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[2,3,1,8,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,4,1,5,8,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[3,4,5,8,2,1,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,4,5,2,8,1,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,4,6,2,1,7,8,5] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,4,6,2,1,7,5,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,5,6,2,7,1,4,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,6,2,7,1,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,6,2,7,8,1,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,4,6,8,2,7,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,4,6,2,8,7,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,5,6,2,7,8,4,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,6,2,7,4,1,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[4,5,6,7,2,8,3,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[3,5,6,8,7,2,4,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[3,5,6,8,7,2,1,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,5,6,7,2,1,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[2,3,1,8,6,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,5,1,6,7,8,4,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,5,1,6,7,4,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,5,1,6,7,4,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[3,5,6,1,7,4,2,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[3,5,6,1,7,4,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[3,4,6,8,1,7,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[2,4,8,6,1,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[3,5,6,8,7,1,4,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[4,5,6,7,8,1,3,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,5,6,7,1,3,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,5,6,7,1,3,2,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,5,6,7,3,1,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,5,6,8,7,4,1,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[2,5,8,6,7,4,3,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[8,2,5,3,7,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,2,4,3,7,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[5,8,2,4,3,7,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[4,2,5,6,1,8,3,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,2,5,6,1,7,3,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[6,1,5,7,3,2,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[6,1,5,8,3,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[3,8,2,4,7,1,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,6,8,2,4,7,1,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[4,3,5,6,7,1,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,7,1,5,6,8,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,7,1,5,8,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,3,2,4,6,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[7,3,2,4,6,1,5,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[3,2,5,1,7,4,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,2,5,1,8,4,6,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,2,5,1,7,8,4,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[7,8,3,2,4,6,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,1,5,7,8,3,2,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[4,2,5,6,1,7,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,7,6,1,8,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,8,6,1,7,3,4,2] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[8,7,3,2,4,6,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,2,5,1,8,7,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[3,2,5,1,6,4,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,2,4,1,8,7,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,8,6,5,1,7,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[3,7,6,5,1,8,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[6,5,1,7,8,4,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[3,2,5,1,6,7,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,2,4,1,8,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,2,4,1,6,8,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,2,4,1,8,5,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[8,3,2,4,7,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,2,5,1,8,4,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[3,2,5,1,6,7,4,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[6,5,1,8,4,2,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,4,2,3,7,5,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[5,2,6,1,8,3,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[5,2,6,1,8,4,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[7,4,2,3,8,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,5,1,6,4,2,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[3,2,5,1,7,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[7,3,2,4,8,6,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[8,5,6,1,7,3,4,2] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[3,6,8,5,1,7,4,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[8,5,1,6,7,4,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[3,2,4,1,8,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,4,1,5,8,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,2,5,1,7,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[7,8,5,1,6,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[3,8,5,1,7,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[3,7,5,1,8,6,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[8,7,5,1,6,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[3,2,5,1,8,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[4,6,3,7,1,8,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,6,3,7,5,1,8,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,2,6,1,7,5,3,8] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[2,5,7,4,1,6,3,8] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[2,5,7,4,1,6,8,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[4,3,7,5,1,8,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[6,4,3,8,5,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[5,8,4,3,6,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,4,8,3,6,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,4,3,6,7,1,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[2,5,4,6,1,7,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,5,4,6,8,1,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,2,8,4,1,6,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[2,4,1,7,5,8,6,3] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,4,1,7,5,3,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,6,4,1,8,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[5,4,8,2,1,6,3,7] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[2,5,8,4,1,6,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[3,2,5,6,1,8,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,8,3,2,6,1,5,7] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,2,1,6,8,5,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[4,8,3,2,6,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,3,8,2,6,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,3,2,6,7,8,1,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,3,2,6,7,1,5,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,3,7,2,6,8,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,3,7,8,2,6,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[2,5,7,4,8,1,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[3,2,5,7,8,1,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,2,5,7,1,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,2,5,7,1,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[6,3,2,7,1,5,4,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,3,2,7,1,5,8,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,3,2,7,8,1,5,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[4,2,6,1,7,8,5,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[2,1,7,5,3,8,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[6,2,1,8,5,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,3,2,7,1,4,8,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,3,2,1,4,7,8,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,3,2,1,4,7,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,5,2,1,7,4,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,2,1,7,8,4,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[5,8,4,2,1,7,3,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[2,4,1,7,3,8,6,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[3,2,7,1,4,8,6,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[3,5,8,2,1,7,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[4,8,3,7,2,1,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,7,2,8,1,5,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,3,7,2,1,5,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,8,3,2,7,1,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[3,5,2,8,1,7,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[6,3,2,8,1,4,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,2,1,4,7,5,8,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[5,3,2,1,8,4,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,8,3,2,1,5,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,3,8,2,1,5,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[1,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 11111110
[1,10,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 111111110
[6,2,3,1,5,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[8,4,5,2,3,1,7,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[8,2,5,3,4,1,7,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[6,2,5,3,4,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[6,1,5,2,4,3,8,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,4,5,1,3,2,8,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[6,1,5,3,4,2,8,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[8,3,5,2,4,1,7,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[8,3,7,2,4,1,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,1,5,3,4,2,7,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[2,1,8,4,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[8,6,7,3,5,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[8,3,7,5,6,1,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,5,7,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[8,3,7,4,6,2,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,3,7,4,6,1,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,3,7,1,6,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,1,7,3,6,4,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[2,1,8,4,7,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,1,7,3,4,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,1,7,3,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,3,7,1,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,3,7,2,6,4,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,2,7,3,6,4,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[8,2,7,3,6,1,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,2,7,1,6,3,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,1,7,2,4,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,1,3,2,7,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[2,1,8,3,7,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,1,5,2,4,3,7,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,2,7,1,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,2,7,3,4,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,2,7,5,6,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[8,4,7,2,3,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,2,3,1,7,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,2,3,1,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[4,2,3,1,8,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[8,6,7,2,3,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,2,3,1,7,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,5,7,2,6,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[8,5,7,2,6,1,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[8,6,7,2,5,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[8,6,7,1,3,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[2,1,8,3,7,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,1,3,2,7,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,1,7,5,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,1,7,2,6,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,2,7,1,6,4,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,2,7,4,6,1,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,2,7,4,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,4,7,2,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,4,7,2,6,1,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[8,4,7,1,6,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,1,7,4,6,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,5,7,1,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[2,1,8,5,7,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,5,7,4,6,1,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[8,1,7,4,6,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,4,7,1,6,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,4,7,3,6,1,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[2,4,8,3,6,1,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[4,5,8,6,3,2,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[3,6,2,8,4,5,7,1] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,6,1,8,4,5,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,8,4,6,1,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[6,3,1,8,4,5,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[3,1,6,8,4,5,7,2] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[2,3,6,8,4,5,7,1] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[6,3,7,8,4,1,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[3,6,7,8,4,2,5,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[5,6,8,7,3,2,1,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[2,8,3,7,1,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[5,2,8,7,3,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[3,2,7,8,4,6,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[5,2,7,8,1,4,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[1,2,7,8,5,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[4,2,1,3,8,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[6,2,8,5,4,3,1,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[2,8,3,5,4,1,6,7] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,8,4,5,3,1,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[6,4,8,5,2,3,1,7] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[3,4,2,1,8,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[5,7,1,8,3,4,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[3,7,5,8,1,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[1,7,5,8,3,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,6,8,5,4,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[4,6,8,5,1,3,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,6,8,1,4,3,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[7,5,8,6,3,4,2,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[2,4,8,3,6,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,8,4,1,5,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[5,6,8,4,1,3,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[4,6,8,1,5,3,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[1,6,8,4,5,3,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,7,3,8,5,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[3,7,1,8,5,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[2,7,3,8,4,6,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[2,8,7,4,1,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,8,5,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[6,5,8,4,2,3,1,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[7,3,2,8,5,4,6,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[6,4,8,2,5,3,1,7] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[2,8,4,3,5,1,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[2,8,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[6,2,8,4,5,3,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[4,2,3,1,8,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,2,1,4,8,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,8,1,5,3,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[1,2,8,4,5,3,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,4,2,8,5,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,8,4,2,5,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[8,1,5,3,2,4,6,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[3,8,1,5,2,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,5,2,8,4,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,2,8,5,4,3,6,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,2,5,4,3,8,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,2,4,8,5,3,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,2,7,4,8,5,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[2,8,1,5,4,7,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[1,2,8,5,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,2,4,8,7,5,3,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[2,8,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[1,6,7,2,8,4,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,7,1,4,2,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,3,7,1,4,8,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[3,7,8,1,5,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[7,1,2,8,5,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,7,2,8,4,5,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,4,2,7,8,5,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,7,1,3,2,4,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,2,7,3,5,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,2,7,5,8,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[5,8,1,3,7,2,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[1,2,5,8,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,2,5,8,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[2,8,1,7,3,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,6,1,3,2,4,7,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[4,2,8,1,7,3,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[2,8,1,7,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[7,1,2,8,4,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,2,8,4,7,5,3,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[1,2,8,7,4,5,3,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[2,8,1,7,5,3,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,3,7,1,5,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[7,4,1,2,8,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[3,4,8,7,1,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[4,2,8,1,7,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[2,8,1,7,6,4,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[6,7,3,4,1,8,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,7,3,4,1,5,2,8] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[5,7,3,4,1,6,2,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,6,2,7,3,4,1,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[4,6,2,8,3,5,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,5,1,7,3,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,6,2,7,3,8,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[5,6,2,7,3,8,1,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[9,2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[10,2,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[9,2,3,1,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[3,4,2,5,6,7,8,9,1] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[3,2,4,5,6,7,8,9,10,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[6,5,3,2,1,4,8,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[4,6,3,5,2,1,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[6,8,2,4,5,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[8,7,2,4,5,3,1,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[3,6,1,4,5,2,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[8,3,7,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[6,3,8,4,5,7,2,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,8,7,4,3,6,2,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[2,8,7,4,3,6,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,1,7,4,3,6,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,7,3,5,1,4,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[2,1,6,8,5,7,4,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,8,3,5,1,7,4,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[5,8,7,4,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[5,8,3,6,1,4,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[4,8,3,6,1,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[3,8,7,4,1,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[3,8,1,2,5,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[8,7,1,4,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,6,3,1,2,4,7,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,1,7,4,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[2,8,7,4,5,1,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,7,2,4,1,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[5,8,3,6,2,4,7,1] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[8,6,3,2,1,4,7,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[5,8,3,6,2,1,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,8,7,4,2,6,1,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[2,6,8,4,5,7,1,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[6,1,8,4,5,7,2,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[6,8,3,5,1,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[2,1,5,8,3,6,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[5,8,3,6,1,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[4,1,8,2,5,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[2,4,8,1,5,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[4,8,2,1,5,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[3,4,8,2,5,6,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[5,8,3,1,6,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[3,4,1,8,5,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[2,4,6,8,10,1,3,5,7,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 000010000
[2,7,8,9,10,1,3,4,5,6] => [[1,3,4,5,6],[2,7,8,9,10]] => [2,7,8,9,10,1,3,4,5,6] => 000010000
[5,6,7,8,10,1,2,3,4,9] => [[1,2,3,4,9],[5,6,7,8,10]] => [5,6,7,8,10,1,2,3,4,9] => 000010000
[2,4,6,8,10,12,1,3,5,7,9,11] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [2,4,6,8,10,12,1,3,5,7,9,11] => 00000100000
[7,8,9,10,11,12,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 00000100000
[4,5,7,6,2,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,5,7,2,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[2,5,7,3,6,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[1,5,7,3,6,8,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[8,4,3,7,6,1,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[5,2,7,3,6,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[8,3,4,7,6,1,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,2,4,7,1,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[4,1,3,7,6,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[5,1,7,3,6,8,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[6,7,1,3,5,8,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[5,8,7,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[4,8,3,7,6,1,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[3,8,4,7,6,1,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[2,8,4,7,1,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,1,4,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,1,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[2,8,3,1,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[3,8,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[6,7,1,2,8,5,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[8,2,3,1,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[1,4,2,7,8,6,5,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[8,4,2,7,1,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[8,5,7,2,1,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[1,5,7,2,8,6,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[3,5,7,1,6,8,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[6,7,4,5,8,1,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[1,5,7,8,2,6,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[8,5,7,1,2,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,4,1,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[1,4,8,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[3,4,8,7,6,1,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[4,3,8,7,6,1,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[5,3,7,8,6,1,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[4,2,8,7,1,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[3,2,8,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[1,3,8,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,3,1,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,2,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[1,2,8,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[2,1,8,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[4,1,8,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[5,1,7,8,2,6,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,7,1,8,2,5,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[5,8,7,1,2,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[4,8,1,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[3,8,1,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[2,8,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[1,8,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[8,1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[3,1,4,5,6,7,8,9,10,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[10,3,4,5,6,7,8,1,2,9] => [[1,2,5,6,7,8,9],[3,4],[10]] => [10,3,4,1,2,5,6,7,8,9] => 101000000
[6,7,1,8,4,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[3,7,1,5,8,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[2,7,1,5,8,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[2,6,5,1,8,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[3,6,5,1,8,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[4,6,5,1,8,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[8,1,4,5,7,6,2,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[6,4,5,1,8,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[4,5,6,1,8,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,5,6,1,8,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,5,6,1,8,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,4,6,1,3,8,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[3,4,6,1,2,8,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[4,3,6,1,2,8,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[5,3,6,1,8,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[7,3,1,5,8,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[8,1,3,5,7,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,1,2,5,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[7,2,1,5,8,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[6,2,5,1,8,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[2,3,6,1,4,8,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,2,5,3,1,8,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[7,2,1,4,3,8,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[8,1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,1,3,4,2,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[4,6,3,1,2,8,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[2,7,1,4,3,8,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[4,7,1,3,2,8,6,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[8,1,6,7,2,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[4,7,1,2,3,8,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[2,6,3,1,4,8,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[3,6,2,1,4,8,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[5,6,2,1,8,3,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[8,1,5,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,1,4,2,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[7,4,1,2,3,8,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[6,4,2,1,3,8,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[5,4,2,3,1,8,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,5,2,4,1,8,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[6,3,2,1,4,8,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[8,1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[6,2,3,1,4,8,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[2,4,3,6,1,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,3,6,5,8,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,3,5,8,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,3,5,8,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,1,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,6,1,5,8,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,1,6,5,8,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,4,6,5,8,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,1,6,5,8,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,6,1,5,8,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,6,4,3,8,7,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[2,4,6,8,1,5,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,6,1,8,5,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,1,6,8,5,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,4,6,8,5,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,4,6,8,5,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,1,6,8,5,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,6,1,8,5,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,6,8,1,5,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,6,8,3,5,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,8,3,5,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,8,3,1,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,3,1,8,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,3,8,1,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,3,8,5,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,6,3,8,5,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,3,6,8,5,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,3,6,8,5,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,3,6,8,1,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,3,1,6,8,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,4,1,3,6,8,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,3,6,1,8,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,4,3,6,8,1,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[4,6,5,2,8,7,1,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[2,4,6,3,8,1,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,1,4,6,8,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,1,6,8,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,6,1,8,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,6,8,1,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,6,8,3,1,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[6,4,2,8,7,5,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[2,6,4,8,1,7,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,6,4,1,8,7,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,6,1,4,8,7,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[2,1,6,4,8,7,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[6,4,2,8,7,5,1,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[1,6,4,7,3,8,2,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,3,7,4,5,8,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[8,1,6,3,7,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,2,7,4,8,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[6,1,7,3,4,8,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[2,1,7,4,5,8,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[5,1,4,7,3,8,2,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[4,3,1,7,5,8,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[6,8,1,3,7,2,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[5,8,2,1,7,3,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[6,7,1,3,8,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[5,1,2,4,8,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[4,3,6,1,5,8,2,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[2,6,1,4,5,8,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[6,5,1,3,4,8,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,6,2,4,8,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[8,5,1,3,7,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[2,5,3,4,1,8,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[4,3,5,2,1,8,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,3,2,8,7,1,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[5,2,4,8,7,1,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[6,2,8,3,7,1,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[5,1,4,8,7,2,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[4,8,2,5,1,3,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[4,7,2,5,1,3,8,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[3,8,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[8,3,2,1,5,4,6,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,3,2,1,6,4,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,4,2,5,1,6,3,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,3,2,1,5,6,4,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,3,2,1,4,6,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,8,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,7,2,1,4,5,8,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,2,7,1,4,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,2,8,1,4,6,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,8,1,4,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,8,2,1,4,7,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,8,2,1,5,7,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[4,8,2,5,1,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[4,7,2,5,1,8,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[3,7,2,1,4,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,2,7,1,6,8,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[4,3,7,6,8,1,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[4,3,8,6,7,1,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[3,2,8,1,6,7,4,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[3,2,1,8,7,5,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,8,2,1,7,4,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,2,8,1,7,4,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,2,8,1,6,4,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[3,2,7,1,6,4,8,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[4,2,8,7,1,3,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[5,7,8,3,4,1,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[4,2,6,7,1,3,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,2,6,1,8,4,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[3,7,2,1,8,4,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[4,7,3,8,5,1,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,3,7,8,6,1,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[3,2,7,1,8,6,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[3,2,1,6,8,5,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[3,2,6,1,8,7,4,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[4,3,6,8,7,1,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[4,2,6,7,1,8,3,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,4,6,8,7,5,1,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[3,1,8,5,4,2,6,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[1,2,7,5,4,8,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,3,8,5,4,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[3,8,7,5,4,6,1,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[4,3,6,7,8,5,1,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[3,6,8,5,4,7,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[6,8,3,5,4,7,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[7,6,3,5,4,8,1,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[1,6,2,5,4,8,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[7,1,2,5,8,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,8,2,5,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,2,1,5,4,8,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[4,1,6,2,8,7,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[4,3,6,1,8,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[2,3,8,5,4,1,6,7] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[5,8,1,6,4,3,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[6,1,5,7,4,3,2,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[3,4,6,1,5,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[7,8,4,1,5,3,2,6] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[7,8,5,1,6,3,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[2,6,1,5,7,3,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[1,6,8,7,4,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[6,8,1,7,4,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[5,6,1,7,4,3,2,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[6,1,7,8,4,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[7,1,8,6,4,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[1,8,7,6,4,3,2,5] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[3,1,6,7,5,8,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[7,8,2,1,4,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[1,2,8,5,6,3,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[6,1,2,5,7,3,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[4,2,1,5,6,3,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,3,6,1,5,7,2,8] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,1,6,3,7,8,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[1,3,6,8,5,7,2,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[2,4,6,3,7,1,8,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[1,3,6,4,8,7,2,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[5,4,6,1,3,7,2,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,1,7,5,2,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[1,2,4,5,8,3,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[2,8,3,5,4,1,7,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[6,5,1,8,4,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,5,7,1,4,3,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[1,5,7,8,4,3,2,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[2,4,7,5,1,3,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,6,4,5,1,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[1,6,5,8,4,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,8,5,1,4,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[7,6,5,1,4,3,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[1,2,3,4,5,6,9,7,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 10000000
[1,2,3,4,5,8,6,9,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[1,2,3,4,7,5,8,9,6] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[9,8,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[7,8,9,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[9,8,7,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 11100000
[6,7,8,9,1,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[9,8,7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 11110000
[9,8,7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 11111000
[9,8,7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 11111100
[9,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 10101010
[9,8,7,6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 11111110
[9,10,1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[8,9,10,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 001000000
[10,9,8,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 111000000
[7,8,9,10,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[10,9,8,7,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 111100000
[10,9,8,7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 111110000
[10,9,8,7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 111111000
[10,9,8,7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 111111100
[9,10,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => 010101010
[10,9,8,7,6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 111111110
[3,4,6,2,7,1,5,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,6,2,5,4,1,7,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,2,7,5,4,1,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[4,3,6,2,8,1,5,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[6,1,2,5,4,7,8,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[6,2,4,5,1,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[4,2,8,5,1,3,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[4,3,6,8,1,7,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[5,3,6,4,1,7,2,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[6,2,1,5,8,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[1,6,7,4,8,3,5,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[4,6,7,2,5,8,1,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[2,4,6,1,7,5,3,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[7,5,4,6,2,8,1,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[1,4,6,3,5,8,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[1,5,8,4,3,6,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[2,5,4,1,6,7,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[5,6,3,2,7,1,4,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,6,3,2,7,1,8,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[8,5,6,3,2,7,1,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[5,4,6,2,8,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[2,4,1,7,8,5,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,5,4,1,6,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[5,6,3,2,1,8,4,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[3,5,2,1,6,4,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[5,3,8,2,1,6,4,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[7,3,2,8,5,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[8,6,4,3,2,1,7,5] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[7,6,4,3,2,1,8,5] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[7,8,4,3,2,1,6,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[5,4,7,2,1,8,6,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[7,5,8,3,2,6,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[5,7,3,2,1,6,8,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,7,3,2,1,6,4,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,3,7,2,5,1,8,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,7,8,3,5,2,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,2,5,7,8,4,1,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[6,3,7,2,8,1,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[3,5,2,1,4,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[2,5,4,1,3,7,8,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,5,8,4,1,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[2,4,1,7,8,3,6,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[3,7,2,8,6,1,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[3,6,8,2,1,7,4,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[5,3,8,2,1,4,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,7,3,2,1,5,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[8,3,5,2,1,4,7,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[7,3,2,8,6,1,4,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[3,5,2,1,4,6,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[7,8,6,5,4,3,2,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[1,8,9,7,6,5,4,3,2] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => 11111100
[8,9,7,6,5,4,3,2,1,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[7,6,8,5,4,3,2,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[6,8,7,5,4,3,2,1,9] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => 11111100
[1,8,7,9,6,5,4,3,2] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => 11111100
[1,9,10,8,7,6,5,4,3,2] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2,10] => 111111100
[7,8,3,5,4,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[8,6,3,7,5,2,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[5,4,1,6,3,2,8,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[5,7,1,6,2,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[5,7,1,6,2,8,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[2,3,6,5,1,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,3,6,4,1,5,8,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[2,3,6,1,5,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,7,6,1,4,8,5,3] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[2,7,6,1,4,8,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[7,3,5,1,8,4,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[7,3,5,1,8,6,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[5,7,3,6,2,8,4,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[2,7,6,4,1,8,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[7,3,5,1,8,6,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[6,3,5,1,8,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[2,3,4,8,7,6,1,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[7,3,5,4,8,1,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[2,1,4,5,8,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[6,4,3,5,8,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[7,3,5,4,8,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[2,3,4,8,7,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[2,3,4,8,7,5,1,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[7,3,5,6,8,4,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,3,5,6,8,1,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,3,5,6,8,1,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[6,4,1,5,8,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[6,4,1,5,8,7,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,4,1,5,8,3,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,7,1,6,3,8,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[6,4,1,5,8,3,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[7,4,1,5,8,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,4,1,5,8,2,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[6,3,5,7,8,2,1,4] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,3,5,7,8,2,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[2,7,6,4,5,8,3,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[5,7,3,6,1,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[2,1,4,5,8,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[7,3,5,4,8,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[2,3,4,8,5,6,1,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[2,3,4,8,7,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,3,4,8,1,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[6,3,5,4,8,2,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[2,1,4,5,8,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[6,3,5,4,8,2,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[2,3,4,8,5,1,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[7,8,2,6,1,5,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,8,1,6,2,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,8,6,7,2,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,8,5,7,2,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,8,1,7,2,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,8,2,7,1,6,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[2,8,5,7,1,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[2,8,1,7,5,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[1,8,2,7,5,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,8,2,7,4,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[2,8,1,7,4,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,8,4,7,1,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[4,8,2,7,1,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,8,1,7,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,8,4,7,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,8,1,7,5,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[1,8,4,7,5,6,2,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,8,3,7,5,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,8,1,7,5,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[3,8,1,7,4,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[1,8,3,7,4,6,2,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,8,3,7,2,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,8,1,7,2,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,8,2,7,1,6,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,8,2,7,4,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,8,2,7,5,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,8,4,7,5,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[2,8,4,7,5,6,1,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[2,8,3,7,5,6,1,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,8,3,7,4,6,1,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,8,3,7,1,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,8,1,7,3,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[7,5,2,8,6,4,1,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[7,5,1,8,6,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,1,8,4,5,2,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,1,8,3,5,6,2,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,3,8,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[7,4,2,8,6,1,3,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[7,3,1,8,4,2,5,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[1,5,7,8,2,6,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[2,6,3,7,8,4,5,1] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[2,5,3,7,8,1,6,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[3,1,5,4,7,8,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,2,4,8,6,1,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,2,3,8,4,6,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[6,4,2,8,1,3,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[5,8,1,3,6,2,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,8,1,4,2,6,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[6,5,1,2,8,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[5,3,1,6,4,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[3,5,7,1,8,6,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,6,2,7,5,1,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,4,5,8,2,7,1,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,4,6,2,8,1,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[4,2,5,6,1,3,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[5,3,6,8,4,7,2,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[4,1,6,5,8,3,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,1,6,8,4,3,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[8,5,4,7,6,3,2,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[8,2,1,5,4,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[2,7,6,1,4,3,8,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[6,7,8,2,4,3,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[8,3,6,2,4,7,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[3,7,6,2,4,8,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[5,7,3,8,4,6,2,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[4,7,3,5,8,6,2,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[8,7,2,1,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,7,3,1,4,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,7,6,3,2,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[8,7,3,5,1,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,4,6,5,7,1,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[3,7,6,5,1,8,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[8,1,2,3,4,5,6,7,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 10000000
[1,9,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 10000000
[9,1,2,3,4,5,6,7,8,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 100000000
[7,8,1,2,3,4,5,6,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[1,8,9,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[1,10,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[8,9,1,2,3,4,5,6,7,10] => [[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => 010000000
[7,1,8,2,3,4,5,6,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[6,8,1,2,3,4,5,7,9] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 01000000
[1,8,2,9,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[1,7,9,2,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[1,9,10,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[3,6,4,8,7,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[5,6,4,3,8,7,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[1,6,2,4,7,8,5,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[3,6,2,4,8,1,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,4,7,2,8,1,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[1,4,7,2,5,8,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,3,8,4,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[3,5,6,4,8,7,1,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[4,6,8,5,3,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,8,5,3,4,7,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[1,8,5,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[4,2,7,5,1,8,6,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[1,3,6,4,8,2,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[6,5,1,3,4,2,8,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[5,8,3,6,1,4,2,7] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[1,4,6,2,5,8,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[3,6,2,5,8,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[6,1,7,8,2,4,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,2,8,3,6,5,7,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,6,3,8,5,7,2,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[7,6,5,8,1,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[5,8,6,7,3,2,1,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[1,6,4,3,7,2,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[2,6,3,4,8,7,1,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[7,1,3,4,5,2,8,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,8,3,5,4,2,7,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[4,1,6,3,8,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[7,8,2,4,6,3,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[6,5,3,8,2,1,7,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[7,5,8,4,1,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[3,5,7,8,4,1,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[1,4,7,5,3,8,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[2,4,6,7,3,1,8,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[2,6,4,5,3,8,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,6,5,8,4,2,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[5,6,8,4,2,3,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[6,8,5,4,3,1,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,1,4,2,8,5,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[4,8,6,5,3,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[8,6,5,1,2,4,7,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[1,7,5,8,2,6,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[1,3,8,5,7,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,3,8,5,7,1,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[8,3,1,5,6,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[6,8,5,2,1,4,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,8,1,5,6,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[8,1,2,5,6,3,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,8,2,5,7,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,1,8,6,2,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[2,5,8,6,1,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[8,6,1,5,7,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[3,8,6,5,7,1,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[7,6,5,8,1,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[5,1,7,6,8,4,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[5,1,3,7,8,6,2,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[7,2,5,8,1,6,4,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[3,2,8,5,7,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[8,2,1,5,7,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[5,2,8,6,1,7,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[1,2,8,6,5,7,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[4,2,1,3,6,7,8,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[8,5,2,6,3,7,1,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[3,5,8,6,2,7,1,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[5,8,1,6,3,7,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[1,8,5,6,3,7,2,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,7,6,5,4,2,8,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[5,7,6,1,4,2,8,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[7,1,4,2,6,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[5,7,6,4,1,2,8,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[4,7,6,1,5,2,8,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[1,7,6,4,5,2,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[3,8,1,6,5,7,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[8,1,3,5,7,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[7,8,5,4,1,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[6,1,5,4,3,7,8,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[7,5,6,4,2,1,8,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[8,3,2,6,5,7,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[6,1,4,3,5,7,8,2] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[6,1,3,4,5,7,8,2] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[8,2,3,6,5,7,1,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,4,7,8,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[1,4,7,2,5,8,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,8,3,4,5,7,1,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[4,3,6,7,5,8,1,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[3,2,7,6,5,1,4,8] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[1,2,7,6,5,8,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[4,3,6,2,5,1,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[7,8,3,2,5,1,4,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,8,1,2,5,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[6,1,2,5,8,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[2,1,8,6,4,7,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[1,8,3,6,7,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[7,1,5,8,3,6,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,1,8,7,2,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[2,4,7,5,1,8,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[6,8,5,1,3,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[6,2,4,3,1,5,7,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[4,2,8,3,1,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[1,3,7,4,8,2,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[5,3,7,4,1,6,2,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[1,2,7,8,5,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,3,1,2,8,4,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[4,2,1,3,6,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,8,1,4,5,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[7,8,2,1,4,5,3,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,8,4,1,5,3,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[3,4,6,1,5,8,7,2] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[5,8,1,6,3,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[6,8,1,7,5,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[5,6,1,7,4,8,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[2,5,6,1,7,4,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[3,1,7,5,6,4,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,1,8,6,5,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[8,5,3,6,2,7,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[1,3,7,4,6,8,2,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[4,7,5,6,3,2,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[1,7,6,5,4,8,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[1,2,7,6,8,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[5,4,1,7,6,8,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[4,8,5,6,2,7,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[3,8,6,4,2,7,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[7,8,5,2,4,6,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[6,8,1,4,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[3,8,4,1,7,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[5,4,7,1,8,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[3,7,4,1,8,5,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[6,7,1,4,8,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[2,7,1,8,4,5,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[6,1,2,8,4,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[6,5,1,4,3,8,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,6,2,5,8,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[8,4,2,1,7,3,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[1,5,4,2,8,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[6,4,3,1,5,8,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[3,7,6,8,4,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[2,7,6,8,5,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[1,7,6,8,5,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[1,4,8,6,7,5,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[2,4,8,6,7,3,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[7,3,8,5,4,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[3,4,8,5,6,7,2,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[6,3,5,8,4,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[5,4,3,8,6,7,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,4,2,8,7,3,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,2,8,5,7,4,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[1,3,8,7,5,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,1,8,7,4,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[3,1,8,5,7,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[5,8,6,7,4,3,2,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[4,8,7,5,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[4,2,1,6,3,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[6,2,1,4,3,5,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[6,2,1,4,3,8,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[8,2,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[6,2,4,1,3,5,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,6,4,3,5,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,6,1,4,3,5,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,6,4,1,3,5,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[4,6,2,1,3,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[6,4,2,1,3,5,8,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[8,4,2,1,3,6,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[8,4,2,1,6,3,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,4,2,1,8,3,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,6,1,4,3,8,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,6,4,3,8,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,8,4,3,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,8,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,8,4,1,3,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[4,8,2,1,3,6,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[6,8,2,1,4,3,5,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[8,6,2,1,4,3,5,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,8,1,4,6,3,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,6,1,4,8,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,6,4,1,8,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,6,4,8,1,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[4,6,2,8,1,3,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,2,6,1,8,3,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[6,2,4,1,8,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[4,2,1,6,8,3,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,2,1,6,3,8,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,2,1,3,6,8,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,1,4,3,8,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,1,3,8,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[4,2,1,3,8,6,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[4,2,1,8,3,6,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[4,2,1,8,6,3,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[8,2,1,6,4,3,5,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[8,2,6,1,4,3,5,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[4,2,8,1,3,6,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,4,8,1,3,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,1,8,3,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,1,4,8,3,6,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,1,4,8,6,3,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,8,1,6,3,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,8,6,1,3,5,7] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[4,2,8,6,1,3,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[8,4,6,2,1,3,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,6,8,2,1,3,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,6,8,4,1,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,6,8,1,4,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,6,1,8,4,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,6,8,4,3,5,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,8,6,4,3,5,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,8,6,4,1,3,5,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[4,8,6,2,1,3,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,8,4,2,1,3,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,2,6,1,5,4,8,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[5,2,4,3,8,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,2,4,1,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[4,3,6,1,5,2,8,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,3,5,2,8,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,7,2,6,5,8,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,3,8,2,6,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,3,8,1,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[4,3,8,1,5,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[5,1,8,3,4,2,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,4,8,1,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[2,1,5,4,8,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[5,1,7,6,8,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[4,3,7,1,8,5,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,3,6,5,8,1,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[6,3,5,4,7,2,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[6,3,5,4,8,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[2,1,8,4,6,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[8,1,6,3,4,2,7,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,1,6,3,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,3,5,1,7,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,3,5,2,6,1,7,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[7,3,5,2,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[8,2,6,3,5,1,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,7,1,5,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,2,4,1,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[8,2,4,1,7,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,2,4,3,6,1,7,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,2,8,4,6,1,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,8,1,5,4,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[3,2,7,6,8,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,2,6,5,8,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[6,5,7,2,4,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[6,5,8,2,4,1,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[7,2,4,1,8,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,6,8,1,5,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,1,3,2,8,5,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,1,8,5,6,2,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,2,8,1,5,4,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[6,2,7,4,5,3,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[5,4,7,2,6,3,8,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,4,8,2,6,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[2,1,6,5,8,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,5,7,4,8,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,1,7,4,8,3,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[5,4,7,1,8,3,6,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[5,4,6,3,8,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[2,5,3,4,7,1,8,6] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[2,4,8,3,5,7,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,2,5,3,1,8,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,2,1,8,5,3,6,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,4,1,3,8,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,1,4,8,3,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,5,8,4,3,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,7,4,3,8,5,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[1,5,7,3,8,4,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,1,4,7,8,3,2,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[8,1,5,3,7,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[3,8,4,7,6,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[6,8,1,7,4,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[6,4,8,1,7,3,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[6,4,8,7,1,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[7,6,4,1,3,8,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[1,7,5,6,3,2,8,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[4,2,1,7,8,5,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[2,7,4,6,3,1,8,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[2,6,8,4,3,7,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[6,2,4,8,3,7,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,2,6,3,4,1,8,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[2,6,7,3,1,4,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[8,7,1,3,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,2,1,7,3,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[7,8,2,6,3,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[8,7,2,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[1,2,8,7,4,5,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[8,3,7,1,5,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,6,1,2,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[5,2,1,8,6,7,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[1,7,8,5,2,6,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,3,8,6,1,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[8,7,6,1,5,3,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[8,7,1,6,4,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[8,1,7,5,6,4,3,2] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[1,8,6,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[6,3,5,2,1,4,8,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[6,3,5,7,2,8,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[4,5,3,6,1,2,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[8,3,4,5,7,2,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[5,7,4,6,3,8,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[2,8,4,6,3,7,1,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[8,1,4,7,3,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[8,3,4,7,5,1,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[2,1,8,5,7,4,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[6,5,1,4,7,8,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[6,3,4,7,5,8,1,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[5,1,4,6,8,3,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[4,7,1,3,5,8,6,2] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[4,8,3,7,1,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,8,1,2,5,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,7,2,6,4,1,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[3,8,6,7,4,2,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[5,7,6,8,4,2,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[5,3,7,8,2,4,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[8,3,6,2,1,4,7,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[5,3,7,6,2,1,8,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,3,6,2,8,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,7,8,6,4,2,1,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[2,6,7,5,4,8,1,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[6,7,3,5,1,8,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[2,1,6,7,5,8,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[4,1,7,2,5,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[3,4,6,2,7,8,5,1] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[4,6,1,2,5,8,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[5,6,3,1,8,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[3,5,6,4,7,1,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[3,4,1,5,7,6,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,8,2,7,1,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[3,8,2,7,6,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[3,8,2,7,6,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[3,8,2,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[4,8,7,2,6,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[4,8,7,2,6,5,1,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[4,8,7,2,6,1,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[4,8,7,2,1,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[4,8,7,3,1,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[4,8,7,3,2,1,6,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[4,8,7,3,2,6,1,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[4,8,7,3,2,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[4,8,7,3,6,2,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[4,8,7,3,6,2,1,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[4,8,7,3,6,1,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[4,8,7,3,6,5,1,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[4,8,7,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[5,8,7,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[5,8,7,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[5,8,7,6,3,2,4,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[5,8,7,6,2,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[5,8,7,6,2,1,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[5,8,7,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[5,8,7,6,4,2,1,3] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[7,3,5,2,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[6,2,1,5,7,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,2,1,5,7,4,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[2,4,6,7,3,8,1,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[1,5,6,7,8,3,4,2] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[5,3,6,1,7,8,4,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,4,6,7,1,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[1,5,6,7,8,3,2,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[6,4,5,7,2,1,8,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[6,3,4,2,1,7,8,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[4,3,6,2,7,8,5,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,4,6,7,2,8,5,1] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[4,2,1,5,7,3,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,3,6,1,7,8,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[2,1,4,3,6,5,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[2,4,1,3,6,5,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[2,4,1,6,3,5,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[2,4,1,6,3,8,5,7,9] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[1,3,2,5,4,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[2,4,1,3,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 000010000
[2,4,6,1,3,5,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[2,4,1,6,3,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 000010000
[2,4,1,6,8,3,5,7,9] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[2,4,1,6,3,8,5,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 000010000
[2,4,1,6,3,8,9,5,7] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[2,4,1,6,3,8,5,10,7,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 000010000
[2,4,1,6,3,7,5,8,9] => [[1,3,5,7,8,9],[2,4,6]] => [2,4,6,1,3,5,7,8,9] => 00100000
[2,4,1,6,3,8,5,9,7,10] => [[1,3,5,7,9,10],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9,10] => 000100000
[1,3,2,5,4,7,6,9,8,10] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[1,4,3,7,6,8,2,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,4,3,7,5,8,2,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,4,3,7,2,6,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,5,3,7,4,8,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,3,2,6,5,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[1,5,4,8,2,6,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[1,5,4,8,3,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[1,2,3,6,5,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[6,8,2,4,5,7,1,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[3,7,8,4,5,2,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,8,1,4,5,3,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[3,8,7,4,1,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[5,8,3,1,6,4,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[7,5,1,8,6,2,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,4,1,8,2,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,1,8,4,2,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,6,3,8,5,2,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[6,1,3,8,5,2,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[7,2,8,3,6,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,2,8,3,6,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,1,8,2,3,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,5,2,3,8,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[5,1,2,3,8,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[2,6,3,8,7,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[2,5,1,3,8,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[1,2,4,8,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[2,4,8,1,3,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,4,8,3,7,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[2,5,4,1,3,8,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[5,2,3,8,4,7,1,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[1,4,8,2,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[6,3,8,1,5,2,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[5,3,8,1,2,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,1,3,8,2,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,1,6,2,8,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[1,4,2,5,8,7,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[3,6,2,8,7,5,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[4,3,1,5,8,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[3,4,8,7,1,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[3,4,8,1,7,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[1,3,4,8,7,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[7,8,3,5,4,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,8,2,5,4,6,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[6,2,1,5,4,7,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[4,3,7,5,8,6,1,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[2,7,6,5,3,8,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[1,7,6,5,2,4,8,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[2,7,1,4,8,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[5,7,6,3,8,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[4,7,6,5,1,2,8,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[6,1,3,5,4,8,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,2,6,3,4,8,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[6,1,4,2,8,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[4,7,1,6,2,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,2,6,7,4,8,5,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[3,2,8,5,4,6,1,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,7,1,2,5,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,3,2,1,7,4,8,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,3,1,5,4,2,8,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[8,4,1,5,2,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,2,5,1,3,7,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[4,7,2,5,3,1,8,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[7,5,4,3,2,1,8,6] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[5,7,4,3,2,8,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[2,7,3,6,4,8,1,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,2,7,5,3,8,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[7,1,8,5,3,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,8,3,2,7,1,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[8,7,3,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[8,7,2,6,1,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[1,8,5,7,2,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[3,8,6,1,7,2,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[7,2,8,5,6,1,4,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[6,3,7,5,8,2,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[3,7,2,6,8,4,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[2,6,5,8,4,1,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,5,4,8,3,2,1,7] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[6,3,7,4,8,5,2,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[4,7,2,5,8,6,3,1] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,3,1,8,4,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,5,3,8,7,4,1,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[5,2,8,1,7,3,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[6,4,7,8,1,5,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[2,5,8,7,1,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[5,3,8,7,2,1,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[8,3,7,6,1,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[8,2,7,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[4,3,8,7,6,2,1,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[2,4,8,7,6,1,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[3,5,8,7,2,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[7,5,8,6,4,3,2,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[5,8,7,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[4,8,7,6,2,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[3,8,7,6,5,1,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[2,8,7,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[3,4,1,2,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,2,1,4,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[4,3,2,1,5,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[5,6,7,8,1,2,3,4,9] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 00010000
[5,4,3,2,1,6,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[6,5,4,3,2,1,7,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[7,6,5,4,3,2,1,8,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[8,6,9,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[3,2,1,4,5,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[4,3,2,1,5,6,7,8,9,10] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => 111000000
[5,4,3,2,1,6,7,8,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[6,4,3,2,7,1,5,8,9,10] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => 111010000
[6,5,4,3,2,1,7,8,9,10] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[7,5,3,8,2,6,1,4,9,10] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9,10] => 110101000
[7,6,5,4,3,2,1,8,9,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[8,6,9,4,7,2,5,1,3,10] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => 101010100
[8,7,6,5,4,3,2,1,9,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[3,6,5,1,2,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,8,5,7,2,4,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[5,1,7,8,4,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[6,1,2,5,4,3,8,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[5,1,2,4,6,3,8,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[4,1,2,6,5,3,8,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[4,1,5,7,8,3,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,7,1,8,3,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[4,1,7,8,5,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,5,3,8,1,4,2,6] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[2,1,5,8,7,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[5,1,8,4,7,2,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[4,1,8,7,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[6,1,2,3,7,5,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[7,1,2,3,8,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,1,2,3,5,8,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[6,8,1,4,3,7,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[8,7,3,2,4,1,6,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[7,8,3,2,4,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,7,1,4,3,8,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[8,1,2,3,5,7,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[8,1,2,3,6,7,5,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[7,1,2,3,6,8,5,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[7,1,2,3,8,5,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,1,2,3,7,5,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[8,1,2,3,6,5,7,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[7,8,2,6,3,4,1,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,7,2,8,3,4,1,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[3,8,7,1,4,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[3,5,7,8,2,4,1,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[7,6,2,8,3,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[8,1,7,5,4,3,2,6] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[6,7,3,2,4,1,8,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[8,7,2,4,3,6,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[7,1,2,3,5,6,8,4] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[6,1,2,3,8,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[5,1,2,3,7,8,6,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[5,1,2,3,8,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,1,2,3,8,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[6,1,2,3,5,8,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[8,6,2,4,3,1,7,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[7,6,3,2,4,8,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[2,1,6,3,4,8,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[8,6,3,2,4,7,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[5,1,2,3,6,8,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,3,8,5,4,2,7,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[2,4,8,1,7,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[3,4,8,5,7,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[7,1,4,2,6,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,6,4,2,8,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,6,3,8,5,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[7,3,1,6,5,4,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[7,1,2,3,6,5,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[6,8,1,2,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,5,8,2,7,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,1,8,2,7,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,8,2,7,6,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[6,8,2,1,7,4,3,5] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,1,6,3,8,5,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,5,3,8,7,4,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[2,5,8,4,1,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[4,2,8,7,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,2,8,7,6,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[4,3,8,7,6,5,1,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[1,3,2,5,8,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[3,5,1,8,7,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[4,5,8,3,1,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[3,4,8,7,6,2,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,1,4,8,7,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[3,4,8,7,6,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[1,2,7,5,8,6,4,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,8,1,3,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[3,7,8,1,2,6,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[1,3,7,8,2,6,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[8,1,2,6,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,1,2,6,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,2,5,7,1,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[2,6,8,3,7,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[2,8,6,4,7,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[6,8,3,4,1,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,8,3,7,4,1,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[2,6,8,3,7,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,2,5,7,1,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,4,7,2,3,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,5,7,4,2,6,1,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[8,5,2,4,7,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,2,3,5,7,1,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,2,4,7,3,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,2,7,1,4,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,7,1,2,4,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,7,1,4,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,4,7,1,3,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,6,8,3,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,3,5,7,1,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[1,4,6,8,2,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,5,6,3,1,7,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[5,6,2,8,1,7,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[1,8,4,5,7,2,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,3,5,7,1,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[1,6,8,3,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[6,3,8,2,7,5,1,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[6,8,4,2,7,1,5,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[8,3,4,7,2,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,7,1,3,4,6,2,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,3,7,2,4,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[2,8,4,5,7,1,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,7,3,4,5,1,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[5,8,7,2,3,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,7,2,3,4,6,1,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,7,2,3,6,1,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[1,3,2,8,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[4,2,8,5,3,7,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[5,2,1,8,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[6,2,8,4,3,7,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,2,8,4,3,1,6,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[7,3,4,8,2,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,3,4,8,2,7,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,5,4,2,8,1,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,5,3,2,8,7,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[6,4,3,2,8,7,5,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[6,5,3,2,1,7,8,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,6,3,2,7,8,4,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[3,6,4,2,7,8,1,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[8,1,6,4,3,7,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,1,7,4,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[2,7,4,1,3,6,5,8] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[3,7,4,2,6,1,5,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[4,1,7,3,2,6,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,7,3,2,6,4,8,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,7,3,2,5,4,1,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[7,6,3,2,1,5,4,8] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[4,7,5,6,2,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,1,7,5,6,2,4,8] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[2,6,5,7,1,3,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[4,6,5,7,2,8,1,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[6,5,4,1,7,2,8,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[7,5,4,6,2,1,8,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[5,4,6,1,7,8,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[8,1,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[2,1,4,6,8,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[3,4,6,8,7,1,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[4,3,1,6,8,7,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[5,3,6,8,7,2,4,1] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[6,3,5,1,8,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[7,3,5,8,6,2,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,2,8,5,6,3,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,2,8,5,1,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[2,3,8,6,7,1,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,3,8,7,1,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[4,2,8,7,6,1,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[5,2,8,7,6,4,1,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[7,2,1,8,6,5,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[7,3,6,1,8,5,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[6,3,7,8,5,4,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,3,7,8,6,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[8,1,5,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[3,5,7,6,8,1,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[6,4,7,5,8,3,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,5,1,7,4,3,8,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[8,1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1111110
[3,7,6,5,1,4,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[8,6,4,1,5,2,7,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[8,6,3,1,7,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,7,3,1,5,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[5,3,1,7,2,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[8,7,1,2,4,5,3,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[8,5,1,2,6,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[8,5,1,6,4,2,7,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[8,5,1,3,6,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,6,1,5,2,4,7,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[8,6,1,2,5,7,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,7,1,2,5,4,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[5,1,4,2,3,8,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[5,1,4,2,7,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[7,1,5,8,2,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[5,7,8,1,3,4,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,8,1,7,3,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,1,5,7,2,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,4,1,2,7,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,4,2,3,8,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,4,2,7,6,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[6,1,2,8,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[3,1,8,4,6,7,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[7,1,2,6,8,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[6,1,2,7,8,5,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,1,2,7,4,8,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[5,7,1,3,8,4,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,7,1,8,4,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[7,1,5,3,2,8,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,1,4,5,2,8,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[4,7,3,1,5,8,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[8,1,7,4,5,2,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,3,7,1,2,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,1,2,8,4,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,1,2,8,6,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,1,7,2,6,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,4,2,3,8,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[5,8,1,7,2,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[5,8,1,3,4,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[6,1,2,8,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,2,3,5,8,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,2,3,5,8,6,4,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[7,1,2,8,3,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[3,1,8,7,6,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,1,2,7,4,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,1,2,7,3,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[1,2,3,5,8,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,2,3,6,8,5,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[7,8,5,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,6,3,1,4,2,8] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,8,3,1,4,2,6] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,8,5,3,1,4,2,6] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,8,5,3,1,6,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,8,5,3,1,6,4,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,8,5,3,6,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,8,3,4,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,6,3,4,1,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,6,3,1,2,8,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,5,3,6,1,2,8,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,5,3,1,4,2,6,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,5,3,1,6,4,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,6,4,1,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,6,4,8,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,8,4,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,3,8,1,4,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,3,1,8,4,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,3,1,8,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,3,1,6,4,2,8] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,1,8,4,2,6] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,3,1,8,6,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,3,8,1,6,4,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,3,8,6,1,4,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,3,8,6,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,8,3,6,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,8,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,8,3,1,6,4,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,3,6,1,4,2,8] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,8,4,1,2,6] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,8,6,3,1,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,8,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,8,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 0101010
[7,5,6,8,3,1,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,4,1,8,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[7,5,6,3,1,8,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,5,6,3,1,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,6,3,8,1,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,6,3,8,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,6,1,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,1,6,8,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,5,3,1,2,8,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,5,3,1,2,8,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,3,1,4,8,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,3,4,8,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,3,4,1,6,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,5,3,1,4,6,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,6,2,5,4,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[3,5,2,8,4,7,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[5,4,7,3,2,8,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,4,8,3,2,7,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,3,2,6,4,1,8,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[4,5,8,3,2,7,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[5,8,4,3,2,7,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,3,2,8,4,7,6,1] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[2,1,5,8,4,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[5,3,2,7,4,8,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,7,4,3,2,8,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[7,6,4,3,8,5,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[7,3,2,6,8,5,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[2,1,8,6,7,5,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[8,6,4,3,7,5,2,1] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[8,5,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => 1111110
[8,4,7,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[3,7,2,6,8,5,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[3,8,2,5,4,7,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[3,7,2,8,6,5,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[6,4,7,3,8,5,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,4,8,3,7,5,2,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[7,4,8,3,6,5,2,1] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[7,5,4,3,2,8,6,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[7,3,2,8,6,5,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[7,8,4,3,6,5,2,1] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[6,8,5,7,4,3,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[6,8,4,3,7,5,2,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[6,3,2,8,7,5,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[6,3,2,7,8,5,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,7,4,3,8,5,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[2,3,1,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 10000000
[2,3,4,1,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 10000000
[2,3,4,5,1,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 10000000
[2,3,4,5,6,1,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 10000000
[2,3,1,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[2,3,4,1,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[2,3,4,5,1,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[2,3,4,5,6,1,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[2,3,4,5,6,7,1,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[2,3,4,5,6,7,8,1,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[2,3,4,5,6,7,9,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[4,6,8,3,5,7,1,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[6,8,1,2,4,5,7,3] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[3,5,8,2,4,7,1,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[8,3,5,2,4,1,6,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,2,5,7,3,6,1,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,5,2,8,3,1,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,2,5,8,3,7,1,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[1,2,5,8,3,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,6,5,8,2,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[3,1,2,6,8,5,7,4] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[5,4,8,3,2,1,6,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,4,3,7,2,6,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[4,3,6,2,7,5,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,6,3,2,1,8,5,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,1,7,3,2,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[4,3,1,7,8,2,6,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[3,5,1,2,7,8,6,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[7,5,1,4,8,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[5,8,4,7,6,3,1,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[8,3,5,1,2,7,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[4,8,3,1,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,8,4,3,5,2,7,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,6,3,1,5,2,8,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[5,3,7,6,4,2,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[1,6,3,4,2,8,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[1,6,8,7,4,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[7,1,3,2,6,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,5,3,2,7,4,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[6,5,3,2,7,4,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,2,6,3,7,4,1,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[1,6,2,3,7,8,5,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,6,7,2,8,4,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[5,1,2,7,8,3,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[2,4,1,7,8,6,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[6,2,8,4,3,1,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[7,3,2,1,8,4,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,8,3,2,5,6,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,1,8,2,4,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[8,7,6,1,2,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,3,7,6,2,1,4,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,2,8,7,5,1,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[7,6,3,5,2,4,1,8] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[8,2,4,1,6,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[8,2,4,1,7,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,7,1,5,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,5,7,3,6,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[6,8,3,7,5,4,1,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[5,7,2,6,4,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,2,7,5,4,3,1,8] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[2,1,8,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[1,2,7,5,4,3,8,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[1,7,2,4,3,8,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,7,2,8,3,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,7,8,6,5,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,3,8,6,5,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[1,8,7,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[8,1,7,3,2,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[5,1,4,3,2,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[8,6,5,3,2,1,7,4] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[8,6,3,2,1,7,4,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[8,6,1,7,4,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[4,6,3,2,7,5,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[1,4,3,7,2,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[7,1,5,8,3,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,7,4,1,8,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[1,8,7,2,5,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[3,1,4,6,8,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[1,6,3,8,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[7,3,6,8,5,1,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[3,6,5,2,8,1,4,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[3,6,5,7,2,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[4,2,6,3,8,1,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,2,6,7,3,5,1,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,6,2,4,1,8,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[7,3,8,2,1,6,4,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,3,5,2,1,8,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[8,7,6,4,1,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[3,8,7,2,1,4,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,8,2,7,1,5,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,6,8,2,1,5,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[2,4,8,1,6,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[4,2,8,1,5,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[8,5,7,6,1,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[1,6,2,8,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[2,8,5,4,7,1,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[1,2,5,7,8,4,3,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,2,7,4,8,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,2,7,8,3,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,8,7,6,3,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[1,8,7,4,6,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[7,1,5,8,3,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[8,6,2,4,7,3,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,6,2,4,5,7,3,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[2,7,1,4,5,8,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[7,1,6,4,5,2,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[7,1,4,5,6,8,2,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[7,1,4,6,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[7,1,2,3,8,5,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[7,1,3,4,2,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[7,1,5,4,6,2,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[7,1,5,6,4,3,8,2] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[7,1,6,5,4,3,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[8,6,2,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[2,5,1,7,4,3,6,8] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,5,1,4,7,8,6,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[5,6,2,4,8,7,1,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[6,3,8,2,4,7,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,3,4,2,8,5,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[3,4,7,2,5,8,1,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[4,6,8,1,3,5,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,3,8,1,2,7,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[3,8,7,1,5,4,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[4,3,1,7,6,8,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[3,4,1,7,5,6,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,4,1,5,7,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,7,4,1,6,2,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[4,7,8,1,2,3,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[7,2,6,4,1,3,8,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[6,7,5,2,1,3,8,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[2,6,4,3,1,5,7,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[7,3,8,4,1,5,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[4,2,8,3,6,1,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[4,8,5,2,7,1,3,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[6,3,5,2,1,7,4,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,8,5,3,1,4,2,7] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[3,6,5,4,2,8,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[1,6,4,8,2,5,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[1,6,5,8,2,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,6,2,4,3,7,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,5,8,2,4,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,6,7,2,4,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,5,8,2,4,6,7,3] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,5,7,2,4,6,8,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,5,7,8,3,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,7,6,2,8,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,5,8,7,3,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,4,2,3,5,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,5,2,3,4,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,6,5,2,3,8,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[1,7,6,5,2,8,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[1,6,7,5,2,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,7,5,2,8,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[1,7,5,6,2,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,5,7,6,2,4,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,5,8,3,2,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[1,6,5,2,3,7,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,6,5,2,3,7,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,7,4,6,2,8,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,7,3,5,2,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,6,8,5,2,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[1,6,4,2,3,7,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,6,4,2,3,7,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,5,7,3,2,4,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,7,3,4,2,8,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,7,4,2,8,5,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,6,7,4,2,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,6,4,2,3,8,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,7,5,2,8,6,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[3,7,5,6,1,4,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,5,4,1,6,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[1,7,6,4,3,5,8,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[8,4,1,3,7,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,7,1,3,8,2,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[4,7,8,1,2,6,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[1,8,6,4,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,7,1,3,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[6,8,5,7,3,2,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[1,8,4,3,7,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[5,7,6,8,3,2,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[8,1,4,3,7,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,2,3,4,7,6,1,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[4,2,3,8,5,6,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[8,2,3,7,5,6,1,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[3,7,4,8,5,2,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,5,8,6,3,2,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[6,5,8,7,3,2,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[8,5,7,6,3,2,1,4] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[2,5,3,8,7,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[1,8,7,3,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[6,8,7,5,3,2,1,4] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[5,7,6,8,3,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[1,7,4,6,5,8,2,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[3,5,4,8,6,7,1,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[3,8,4,6,5,7,1,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[3,6,4,7,5,8,1,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[1,6,2,7,5,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,6,4,8,5,7,2,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[1,8,4,6,5,7,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,5,4,8,6,7,2,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[7,8,1,5,4,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,8,1,5,2,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[1,8,2,6,5,7,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,7,2,8,5,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,7,2,6,5,8,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,5,2,7,6,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,7,6,8,2,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[5,7,6,8,1,4,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[7,8,5,6,1,3,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,8,6,7,1,3,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[7,8,1,4,2,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,8,1,4,2,5,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,8,2,1,4,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[4,3,6,5,8,7,1,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[3,4,1,5,6,7,8,9,2] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,4,5,1,6,7,8,9,2] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,4,5,6,1,7,8,9,2] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,4,5,6,7,1,8,9,2] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,4,5,6,7,8,1,9,2] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,4,1,5,6,7,8,9,10,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[3,4,5,1,6,7,8,9,10,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[3,4,5,6,1,7,8,9,10,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[3,4,5,6,7,1,8,9,10,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[3,4,5,6,7,8,1,9,10,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[3,4,5,6,7,8,1,2,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,4,5,6,7,8,9,1,10,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[1,6,2,3,8,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,4,7,6,2,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[1,2,6,5,3,7,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,2,6,5,3,7,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,3,7,5,2,6,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,3,7,4,2,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,2,6,4,3,7,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,2,6,4,3,7,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,4,7,3,2,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,7,5,3,2,8,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[1,5,3,2,4,8,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[7,6,5,4,3,1,8,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[6,8,5,4,3,2,1,7] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[8,7,6,5,4,3,1,9,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[7,9,6,5,4,3,2,1,8] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8] => 11111010
[3,6,5,4,8,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[6,8,1,4,3,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[8,10,7,6,5,4,3,2,1,9] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,10,1,9] => 111111010
[7,6,1,4,3,8,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[4,6,5,8,3,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[1,8,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[3,8,5,4,7,2,1,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[1,6,3,4,8,7,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,4,5,8,3,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,8,5,2,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,8,2,4,3,7,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[1,8,3,4,7,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,9,2,5,4,3,8,7,6] => [[1,2,3,6],[4,7],[5,8],[9]] => [9,5,8,4,7,1,2,3,6] => 10101000
[7,5,8,4,3,2,1,6] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[5,4,6,8,2,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[8,4,6,5,2,1,7,3] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[5,1,8,7,4,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[2,8,6,7,4,3,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[3,6,5,2,4,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[5,2,3,6,4,1,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,1,4,5,3,2,8,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[3,8,7,1,4,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[4,3,7,6,8,2,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[5,3,6,8,1,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[3,2,6,8,5,7,1,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[6,3,7,2,4,8,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,4,8,6,5,2,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[7,1,8,2,5,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[3,6,4,7,5,1,8,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[8,4,7,6,2,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,4,7,1,2,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[4,2,8,7,3,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,1,7,4,2,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[6,4,1,5,8,2,7,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[2,5,8,7,3,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[2,1,5,8,7,4,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[8,3,5,6,7,4,1,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[4,2,7,1,8,5,6,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[4,1,7,2,8,5,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[2,4,8,7,3,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,7,8,3,1,5,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[3,4,7,2,8,5,6,1] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,7,1,4,8,5,6,2] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[7,2,3,4,8,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,1,7,4,5,8,6,3] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,1,8,3,6,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,1,6,4,7,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[7,4,8,6,5,2,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[8,1,6,4,7,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[2,6,4,8,5,3,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[7,3,5,8,4,2,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[3,2,5,8,4,1,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[8,4,7,1,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[4,8,7,5,6,1,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[6,1,4,8,7,3,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[7,2,8,4,3,5,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[4,7,8,1,3,5,6,2] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[8,7,3,4,1,5,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[4,8,2,7,3,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[3,1,8,7,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,8,1,7,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,2,3,7,1,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[6,4,8,7,1,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[2,8,4,6,7,3,1,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,3,8,2,7,6,1,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[6,8,4,2,1,3,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,8,2,4,3,5,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[2,8,3,7,1,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,1,2,7,3,5,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[6,4,1,3,2,8,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[5,3,8,6,2,1,4,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[4,3,7,5,1,8,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[6,8,5,2,7,4,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[7,2,5,4,3,8,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[3,6,8,1,4,5,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[6,8,1,2,4,5,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[8,1,6,2,4,5,3,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[5,8,1,6,2,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[4,1,6,5,8,2,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[4,3,8,6,2,5,1,7] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[8,3,6,1,4,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[2,3,6,8,4,5,1,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[2,7,5,4,3,8,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[6,3,8,7,4,2,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[5,8,4,3,7,6,1,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[8,7,4,3,1,6,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[7,1,5,3,4,8,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[2,8,6,1,7,4,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[4,8,6,5,7,2,1,3] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[6,1,8,7,4,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,5,4,3,1,6,7,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[1,5,8,6,3,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[6,5,8,4,3,1,7,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[4,6,5,2,8,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[1,8,5,2,3,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,8,3,2,5,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[4,8,3,2,5,6,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[7,5,1,8,2,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[3,5,8,1,2,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[3,8,4,1,2,6,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[5,8,3,6,7,4,1,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[2,3,1,6,8,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[1,4,7,3,2,8,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[2,7,1,4,3,8,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,4,1,8,6,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[6,8,5,1,7,2,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[7,3,6,5,8,2,1,4] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[7,6,3,5,8,2,1,4] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[4,7,1,6,2,8,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[2,8,6,3,7,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[7,6,1,5,8,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[3,6,8,5,1,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[6,5,2,4,8,1,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[5,1,4,8,2,6,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[4,8,2,5,1,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[3,4,8,5,2,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[4,2,1,8,5,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[1,5,4,8,2,6,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[7,2,1,5,8,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[2,8,4,5,1,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[5,4,8,3,7,6,1,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[3,1,5,8,6,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[6,3,4,8,5,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[5,3,4,8,1,6,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[7,6,1,2,8,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,5,8,4,1,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[6,5,4,8,7,1,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[7,5,1,6,2,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[7,5,1,6,8,2,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,5,4,7,1,2,8,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,5,4,7,8,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,5,3,1,8,4,2,7] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[8,1,6,4,7,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[6,4,3,1,5,8,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[7,4,1,5,3,8,6,2] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[7,4,1,5,3,8,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[8,1,6,4,2,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[6,5,3,1,2,7,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[6,5,3,8,1,4,2,7] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[7,6,8,1,4,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[8,1,7,2,5,4,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[8,1,7,2,5,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[7,6,1,2,5,4,8,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[6,5,3,8,1,4,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[6,5,3,1,2,7,8,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[7,5,1,4,2,6,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[8,1,6,4,2,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[7,4,1,5,3,2,8,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[6,4,3,1,5,2,8,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[6,7,3,8,4,5,1,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,7,4,5,1,8,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[4,7,5,6,2,3,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[4,7,5,6,1,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[3,7,5,8,4,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[5,6,4,7,1,8,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,6,1,7,3,8,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,1,8,2,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[4,8,1,6,5,7,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[4,5,1,8,6,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[7,8,4,5,1,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[4,8,2,3,1,6,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[5,6,2,8,1,4,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[3,6,4,5,2,7,1,8] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[3,6,4,5,1,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[2,6,4,8,1,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[2,8,3,6,1,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[7,8,1,5,3,6,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[1,5,3,8,6,7,2,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[2,6,4,7,3,5,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[1,7,2,8,4,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,7,5,8,4,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[1,7,5,8,2,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,7,5,6,3,8,2,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[2,7,5,6,3,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[6,7,5,8,1,4,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[5,8,6,7,2,3,1,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[6,7,2,3,1,8,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[3,4,1,7,5,8,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[2,8,6,7,1,4,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[2,8,1,4,3,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[3,7,2,5,4,6,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[4,5,2,7,3,6,1,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[3,4,1,8,6,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,4,2,5,1,8,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,4,2,8,1,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[4,5,2,8,1,6,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,5,3,6,1,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[8,6,7,1,4,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,6,3,7,5,1,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[7,6,1,8,3,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,6,2,8,3,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,6,2,3,8,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[8,6,2,7,3,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,4,2,1,7,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,5,7,2,1,4,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,5,7,2,1,4,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,4,2,1,3,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,4,3,1,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[5,2,8,6,4,1,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[8,4,7,5,1,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,4,7,5,1,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,3,2,6,5,1,4,7] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[8,3,2,7,1,5,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[8,7,3,1,4,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,7,3,1,2,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,7,3,1,2,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,3,2,1,7,4,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,3,2,7,1,5,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[8,7,2,1,6,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[3,8,5,6,7,4,1,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[2,5,7,8,6,3,4,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[4,6,3,2,1,5,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[6,2,1,5,3,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[3,7,4,2,8,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[6,4,2,7,3,8,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[2,1,5,8,7,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[2,1,4,7,6,3,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[6,4,7,8,5,3,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[4,1,3,7,6,2,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[8,5,1,6,3,2,7,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[6,3,7,1,5,2,8,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[3,2,6,8,4,7,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[4,2,8,6,7,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[4,7,5,8,1,6,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[6,4,3,2,7,8,1,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[4,2,5,1,6,7,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[2,4,8,5,7,1,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[7,8,2,5,6,1,4,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[2,4,3,8,7,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,6,7,3,5,1,8,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[7,6,8,4,2,5,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[6,5,7,2,8,4,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[4,1,6,3,5,8,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[6,2,5,8,4,3,7,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[8,6,7,1,5,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[2,1,6,5,8,4,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,1,6,8,5,4,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[4,1,8,5,6,2,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[2,6,4,8,7,3,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[6,2,8,4,3,5,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[4,8,2,7,6,1,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[3,1,8,2,7,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[5,8,4,3,2,7,1,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[7,4,8,6,3,2,5,1] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[5,8,4,7,2,1,3,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[2,1,8,4,3,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[6,3,8,2,4,5,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[1,2,7,3,5,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,2,3,8,4,5,7,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,2,8,3,4,5,7,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,3,8,2,6,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,5,7,2,3,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,7,2,3,5,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,3,8,2,4,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,2,3,8,4,6,7,5] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,8,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,7,8,2,3,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,6,7,8,2,3,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,7,8,2,5,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,7,8,2,4,5,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,2,8,3,6,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,8,2,3,6,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,2,8,3,5,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,2,7,8,3,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,5,2,7,8,3,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,3,2,8,4,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,8,2,3,4,6,7,5] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,7,8,2,4,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[6,7,3,1,5,2,8,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[6,8,3,1,5,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[6,7,4,5,1,2,8,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,7,5,4,1,2,8,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,4,7,5,1,2,8,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,3,8,1,5,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[4,6,8,5,7,1,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[4,5,8,6,7,1,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,3,8,1,6,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[5,2,1,7,6,8,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[5,4,7,6,1,8,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[4,8,6,5,7,1,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[4,7,5,6,8,1,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[5,7,4,6,1,8,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[5,8,3,1,6,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[5,6,3,1,7,8,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,7,4,8,1,6,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[4,8,6,7,5,1,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[5,2,1,7,8,6,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[4,6,8,7,5,1,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[4,7,8,6,5,1,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[4,8,7,6,5,1,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[2,4,6,3,7,5,1,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[4,2,7,3,6,5,1,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[4,2,6,3,1,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[2,5,3,1,6,4,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[2,5,3,7,6,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[4,2,7,6,3,5,1,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[2,7,5,3,6,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[1,7,5,2,3,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[2,3,1,8,6,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[4,2,8,3,1,6,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[8,3,2,6,4,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,6,8,2,1,4,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[1,5,2,8,3,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,2,6,3,8,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,8,3,6,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,7,6,3,4,8,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[2,1,3,8,7,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[1,2,3,8,6,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,3,7,4,8,6,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,7,6,3,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,3,6,4,8,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,3,7,6,4,8,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[2,1,3,8,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[7,1,8,4,2,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[2,1,8,4,3,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[4,2,6,3,1,8,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[3,5,8,2,4,1,6,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,2,1,8,3,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[1,8,7,4,2,3,5,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[1,5,2,8,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,2,7,3,6,4,8,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,8,6,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,7,3,8,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,3,8,4,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,2,7,3,4,8,6,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,6,3,8,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,5,2,3,8,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[4,2,1,8,3,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[8,3,2,1,7,4,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[1,8,4,2,7,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,2,8,6,3,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,7,3,8,4,6,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,3,8,7,4,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,2,3,8,7,6,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[3,4,8,6,1,2,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[2,5,7,1,4,8,6,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,4,8,1,5,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[2,4,3,8,1,6,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,4,8,1,3,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[3,5,7,6,2,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[4,8,6,7,1,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[3,8,5,7,1,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[3,4,8,6,2,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[5,8,6,7,3,4,2,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[5,8,6,7,2,1,3,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[5,8,6,7,2,1,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[4,3,1,7,5,2,8,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[5,8,6,7,1,4,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[4,2,3,8,5,1,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,2,4,8,6,1,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,5,7,6,1,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[4,3,8,5,2,6,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,8,4,7,1,5,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[3,8,4,7,2,5,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,4,1,7,5,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[4,1,7,5,2,8,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[4,8,6,7,2,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[5,8,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[5,8,6,7,4,1,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[5,8,6,7,3,1,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[5,8,6,7,4,2,1,3] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[5,8,6,7,4,3,1,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[7,3,5,8,1,4,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[3,8,7,6,1,4,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[5,1,8,3,6,7,2,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[1,4,7,8,5,6,2,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[3,4,7,1,5,8,6,2] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[1,6,8,4,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[6,8,1,3,5,7,2,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[7,6,1,4,3,8,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[3,8,1,6,5,4,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[4,1,3,7,5,8,2,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[6,1,7,3,8,4,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[7,1,8,6,3,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[3,1,7,6,5,8,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[8,2,7,6,5,3,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[8,4,2,6,7,5,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[7,4,1,6,8,2,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[6,1,3,2,7,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,8,6,2,5,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[8,7,3,6,4,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[2,7,4,1,6,8,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[1,8,6,4,5,2,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[2,8,4,6,5,1,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[3,4,1,7,5,2,6,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[7,5,8,6,1,2,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[5,6,8,7,3,1,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[3,8,5,4,6,2,1,7] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[4,8,2,1,3,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[8,3,7,4,5,2,6,1] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[4,3,7,8,5,1,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[5,4,8,2,7,6,1,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[1,2,7,3,6,5,8,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[2,8,7,6,3,4,1,5] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[4,1,7,5,8,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[5,1,7,8,4,3,6,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[6,3,8,1,4,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,8,4,5,6,1,2,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[2,8,5,6,4,3,1,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[1,8,6,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[6,1,5,2,8,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[4,6,1,8,5,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[4,7,1,2,8,5,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[1,4,7,2,8,5,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[1,7,3,5,8,6,2,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,3,5,8,6,1,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[3,6,8,1,5,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[3,4,6,5,8,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[6,8,1,5,7,2,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[7,1,2,5,8,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,7,2,5,8,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,7,6,8,2,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,6,8,1,2,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[2,7,1,5,8,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[2,4,7,1,8,5,6,3] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[4,7,5,8,3,1,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[4,7,2,1,8,5,6,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[7,6,8,2,1,3,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[1,2,7,6,8,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[3,7,6,8,2,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,7,4,1,8,5,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,7,4,3,1,8,5,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[7,3,2,5,8,6,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[3,1,7,6,8,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[3,7,6,8,1,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[1,3,7,6,8,2,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,7,4,2,6,8,5,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[7,4,1,2,6,8,5,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[7,1,4,2,8,5,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,1,8,2,5,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,1,6,8,5,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,1,2,6,8,5,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,7,2,6,8,5,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,7,6,8,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,6,8,3,1,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,1,5,8,6,3,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,2,5,8,6,3,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,6,8,2,3,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[2,7,6,8,3,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[6,7,1,8,5,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[7,6,8,3,2,1,5,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[4,7,8,5,6,1,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[4,6,5,8,7,1,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,4,5,1,8,2,7,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[5,4,6,7,1,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,3,6,7,2,1,5,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[5,3,6,7,1,4,2,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[8,1,3,6,7,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[7,2,1,6,8,4,5,3] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[4,2,6,7,3,1,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[6,2,4,1,5,8,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[8,1,4,5,3,7,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[7,3,1,5,4,8,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[6,3,4,1,5,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[5,3,4,2,1,8,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,3,5,2,7,1,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[8,1,7,2,4,5,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[5,6,2,8,1,4,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[7,5,1,3,2,6,8,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[7,4,1,3,5,2,8,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,3,1,4,5,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[7,8,4,2,1,6,5,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[7,8,3,4,6,2,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,2,3,8,7,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[6,2,3,7,8,5,1,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[5,2,6,3,8,1,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[6,4,3,8,7,5,1,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[4,5,6,8,3,2,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[5,6,8,4,3,7,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,2,8,3,4,1,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[6,2,3,4,5,8,1,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[5,1,4,3,6,2,8,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,1,4,3,7,2,8,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,1,4,3,8,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,7,2,4,1,8,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[5,2,7,4,1,6,8,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[5,1,6,3,4,2,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[4,8,6,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[4,8,5,6,3,2,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[5,4,7,8,3,2,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,4,8,7,3,2,1,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,7,1,3,4,2,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,1,8,4,2,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[5,1,7,4,2,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[4,8,7,6,3,2,1,5] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[4,8,2,6,3,7,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[4,3,8,7,2,5,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[5,8,4,3,7,1,6,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[6,8,1,2,4,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,8,7,1,3,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[4,8,7,6,3,1,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[4,3,8,2,7,5,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,2,8,1,6,5,7] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,1,8,3,7,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[3,7,8,1,5,4,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[7,3,8,1,5,4,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[3,4,8,1,6,2,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,4,2,1,8,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[4,1,7,8,5,3,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[3,7,6,8,4,2,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[3,7,8,2,6,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[4,2,3,8,1,6,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,6,8,4,7,3,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,6,2,8,3,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[3,2,4,8,1,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[2,4,8,3,6,1,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[7,4,1,8,5,2,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[1,3,2,4,8,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,1,2,4,8,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,1,4,8,2,6,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,7,4,8,5,1,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[6,7,2,8,3,5,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[1,2,3,4,8,6,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[4,8,3,6,2,1,5,7] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,6,5,8,2,4,1,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[5,3,8,7,2,4,6,1] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[2,8,4,5,7,3,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[6,2,4,5,8,3,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[4,8,1,2,5,6,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[8,1,3,5,2,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[5,2,1,6,3,8,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,2,5,1,8,4,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,1,4,5,8,3,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[5,6,4,8,1,3,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[6,5,4,3,8,2,1,7] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[5,4,3,7,2,8,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,8,4,3,7,2,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[4,6,8,3,7,2,5,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[1,5,4,3,7,2,8,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[4,7,8,5,3,1,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[5,7,3,4,1,2,8,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[8,5,4,7,6,2,1,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[8,5,7,4,3,6,1,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[5,3,8,6,7,4,1,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[1,3,8,6,4,7,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,6,2,7,4,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[7,6,2,1,4,3,8,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[1,5,7,3,2,6,8,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[3,2,6,8,5,7,4,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[7,5,2,3,1,6,8,4] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[1,6,4,7,2,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[3,1,7,5,2,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[2,5,7,4,1,8,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[4,2,6,1,7,8,3,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[6,4,8,7,2,3,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[3,2,6,8,7,4,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[3,2,7,4,1,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[6,3,2,1,7,8,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[3,7,1,8,4,2,5,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[8,1,3,7,4,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,4,3,7,6,2,1,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[8,3,5,2,7,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,6,2,8,7,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[7,3,2,8,1,6,5,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[3,8,7,2,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[6,8,2,4,7,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[5,2,1,8,7,3,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[6,8,3,1,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[5,8,1,6,7,2,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[6,2,8,1,5,7,4,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[8,6,7,5,2,4,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[1,2,7,8,5,6,4,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[3,7,1,8,2,6,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[8,2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[8,1,4,7,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[8,6,7,5,1,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[7,8,6,5,4,1,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[5,8,4,3,2,1,6,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,4,7,3,2,1,8,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,5,3,7,2,1,4,8] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,8,3,6,2,1,4,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,3,7,6,2,1,4,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[3,8,7,6,2,1,4,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[5,8,4,2,6,1,3,7] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[4,8,3,2,5,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,7,2,5,1,8,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[6,4,2,7,5,1,3,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,2,7,6,8,1,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[2,8,7,6,5,1,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[6,5,4,3,1,7,8,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,4,7,3,1,5,8,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[5,4,3,6,1,8,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,3,7,6,1,4,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[3,8,7,6,1,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[5,8,3,2,1,4,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[3,8,7,2,1,4,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[5,8,2,6,1,4,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[6,4,2,7,1,5,3,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[3,2,7,6,1,4,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,8,4,1,6,7,3,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[6,4,7,1,5,8,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[5,8,2,1,6,4,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[3,2,7,1,5,4,6,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[6,4,1,7,5,8,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[5,4,1,6,7,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,3,1,6,7,4,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[4,3,1,6,5,7,8,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[2,8,1,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[6,1,7,8,5,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[4,5,8,1,2,6,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[1,4,5,7,2,6,3,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,7,3,5,6,2,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[8,1,3,5,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[3,4,5,6,8,1,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[4,5,8,2,6,7,1,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[1,7,2,3,5,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[8,1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[2,7,8,3,5,6,1,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[8,7,2,1,3,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[3,6,8,7,2,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,6,8,1,2,5,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[1,3,6,7,2,5,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[7,4,1,8,5,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,1,4,2,8,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,1,8,2,5,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[8,1,7,5,4,2,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[1,7,2,6,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,7,6,3,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[8,1,7,6,3,2,4,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[8,2,5,7,6,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[3,6,8,1,7,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[8,2,6,7,5,4,1,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[2,7,8,6,3,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,3,1,8,6,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[8,7,2,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[8,7,6,3,2,1,5,4] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[2,1,8,6,3,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,1,4,8,5,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[8,5,3,1,6,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[6,4,1,5,2,3,8,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[5,3,7,4,6,8,1,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,8,3,7,6,2,1,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[4,2,6,3,8,5,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[5,8,2,1,7,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[8,3,2,4,1,7,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[6,8,1,4,5,3,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[8,2,6,1,4,7,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[8,3,5,6,1,7,4,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,7,3,6,5,1,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[2,7,4,3,6,1,8,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[3,4,7,2,8,1,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[4,2,3,5,8,1,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,8,4,7,1,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,3,4,5,7,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[3,2,4,5,6,8,1,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[1,3,5,7,8,6,2,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,5,7,8,6,1,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,5,1,6,8,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[3,1,5,6,8,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[5,6,4,8,2,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[2,5,1,6,8,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[5,1,2,6,8,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,7,1,8,6,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,5,2,7,8,6,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,6,7,5,2,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,1,7,5,2,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[2,6,7,5,1,8,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[5,7,2,8,6,1,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[3,5,7,8,6,2,1,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[5,1,7,8,6,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,1,3,7,8,6,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[5,2,7,8,4,6,1,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[3,2,5,7,8,6,1,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[1,2,6,7,5,8,3,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[6,7,2,5,3,8,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[6,7,4,5,2,1,8,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[2,5,7,8,6,3,1,4] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[5,1,7,8,6,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[6,3,7,5,1,8,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[1,6,7,5,3,8,2,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[6,7,5,1,4,2,8,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[5,7,8,6,4,1,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[4,1,7,2,6,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[6,7,4,1,5,2,8,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,3,1,7,5,8,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[2,5,3,7,8,6,1,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[6,7,5,4,2,1,8,3] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[6,3,2,7,5,8,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,7,4,2,5,1,8,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,2,3,7,5,8,1,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[7,5,1,6,3,8,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,3,5,1,8,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[7,3,5,1,8,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[3,7,5,1,8,6,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[2,1,6,7,3,8,5,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[4,6,1,5,8,7,3,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[7,5,1,6,2,8,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,8,5,4,3,2,7,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[8,9,6,5,4,3,2,1,7] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 11111010
[6,8,5,4,3,7,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[5,8,4,3,2,1,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[6,5,4,3,1,8,7,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[8,7,6,5,4,3,9,1,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[8,3,4,6,2,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,5,6,2,1,8,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,2,6,8,4,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[7,5,3,2,8,4,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,5,3,2,8,4,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[4,2,5,6,8,3,1,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,2,8,1,5,6,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[2,5,6,1,8,4,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[4,5,6,8,1,3,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,5,6,3,8,2,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,5,3,7,2,8,6,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[6,4,7,3,2,8,5,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,1,4,7,3,2,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,7,8,4,5,3,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[5,1,7,3,8,4,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[2,5,1,7,4,3,8,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,5,7,4,1,8,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[5,3,7,1,4,8,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[6,4,3,1,7,8,5,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,4,1,7,3,8,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[5,6,3,7,8,4,2,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,1,6,3,7,8,4,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,1,3,7,8,4,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,1,7,8,3,4,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[1,6,3,7,4,8,5,2] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,4,7,3,1,2,8,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[5,6,3,1,2,7,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,1,3,2,7,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,3,2,1,7,8,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[2,6,4,7,3,1,8,5] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,3,7,2,8,4,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,3,7,2,8,4,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,3,2,7,1,8,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,5,3,2,1,8,4,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,3,8,4,2,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,3,8,4,6,2,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[5,7,3,8,2,1,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,3,7,8,5,2,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[4,6,2,7,8,5,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,6,2,1,7,8,5,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[7,4,5,8,1,2,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[5,1,6,7,8,2,4,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[6,3,7,1,8,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[4,1,3,6,8,2,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,2,3,6,8,1,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[5,3,2,1,8,4,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,5,2,1,3,8,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[3,2,6,4,5,8,1,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,4,6,5,8,1,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[1,6,2,4,5,8,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,3,2,1,6,8,4,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[6,2,4,5,8,1,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[1,3,4,6,5,8,2,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,6,3,4,5,8,2,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[2,8,4,1,7,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,1,4,2,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,5,3,2,8,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[8,2,1,7,5,3,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[1,7,6,4,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[5,8,7,4,6,2,1,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[3,4,2,5,8,6,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,4,8,6,7,1,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[4,3,6,2,8,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,7,4,8,2,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[2,1,8,5,6,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[1,2,8,3,5,6,7,4] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[3,2,6,4,8,1,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[8,2,1,6,7,3,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[1,7,5,3,8,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[4,7,5,3,1,2,8,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[7,2,4,8,5,3,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[4,8,3,1,2,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,5,2,7,4,1,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[8,4,2,3,7,1,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,8,4,7,1,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[8,2,4,6,7,1,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[4,8,2,3,6,7,1,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[3,5,2,7,6,1,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[1,6,3,2,5,8,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[5,8,3,2,1,6,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,8,7,3,4,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[5,8,2,7,4,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[5,2,6,8,7,1,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[2,7,5,4,1,8,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[4,2,5,6,8,7,1,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[1,8,4,2,5,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[3,8,4,1,5,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[4,2,8,5,6,7,1,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,2,4,7,1,8,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[5,3,4,7,1,8,6,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[8,6,4,1,3,2,5,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[8,3,2,4,6,5,1,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,4,1,2,6,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,6,4,2,1,5,3,7] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[8,3,6,4,1,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[1,3,4,8,5,7,2,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[5,8,4,7,6,2,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[1,3,4,7,5,8,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,3,5,2,4,8,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[2,6,5,1,3,8,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[5,4,8,7,6,3,1,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[2,8,5,1,4,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[6,5,3,8,4,7,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[5,4,2,1,6,8,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[6,8,4,3,2,7,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[3,4,7,8,2,1,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,1,3,2,8,6,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,3,1,2,8,6,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,3,2,1,8,6,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[6,3,8,2,7,4,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[8,2,1,3,6,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[3,5,1,7,8,4,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[2,7,4,5,8,3,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[1,8,4,3,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,4,8,7,2,1,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[5,4,7,8,3,6,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[6,4,3,8,7,2,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[6,3,8,7,4,1,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,5,7,2,4,8,1,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[8,4,7,2,3,1,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,4,7,1,3,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,4,7,2,1,3,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,6,4,2,1,3,7,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,6,4,1,3,2,7,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,6,4,2,3,1,7,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[3,5,7,2,6,1,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[6,1,3,8,5,7,2,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[5,8,3,2,6,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[4,8,5,3,6,2,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[2,8,1,5,4,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[3,5,1,7,6,8,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[5,8,2,6,1,3,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[2,5,7,8,4,1,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[4,2,8,1,5,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,1,5,2,6,8,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,4,5,1,6,8,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[4,2,8,5,1,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,1,8,5,2,6,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,8,6,2,1,3,7,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[8,2,4,1,5,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[4,6,3,5,8,1,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[1,7,8,3,5,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[3,4,5,1,8,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[3,8,1,4,5,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[3,4,6,2,8,5,1,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,4,6,8,1,5,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[3,4,7,2,1,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,4,8,2,1,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,5,2,7,8,4,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,6,2,8,4,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,7,2,4,8,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,7,2,8,4,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,7,8,4,1,6,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,6,2,1,8,5,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[3,6,7,2,8,5,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,6,8,2,4,5,1,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,7,2,1,4,8,6,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[3,7,2,8,4,5,6,1] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,8,2,1,4,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[4,1,5,6,7,8,3,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,1,6,3,8,5,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,1,6,8,3,5,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,1,7,3,2,8,6,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[4,5,2,6,8,1,3,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,5,7,3,8,1,6,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,5,8,3,2,1,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,6,2,7,8,5,1,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,6,7,3,2,8,5,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,7,8,3,2,5,6,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,8,2,3,1,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[5,6,2,3,8,4,1,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,6,8,3,4,2,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,7,8,3,4,2,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,8,2,3,4,1,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[6,1,2,3,7,8,5,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[6,1,2,3,8,5,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[6,1,7,8,4,5,3,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,1,8,3,4,5,2,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[6,7,2,3,8,5,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[6,7,2,8,4,5,3,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[7,1,2,3,4,8,6,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[7,1,2,8,4,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[7,1,8,3,4,5,6,2] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[5,8,1,2,4,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,3,5,7,2,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,5,8,6,1,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[3,6,2,8,1,5,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[2,6,1,3,8,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[1,7,5,2,3,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[8,2,5,7,4,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,2,1,3,7,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,2,5,1,3,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[8,2,7,5,3,1,6,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[8,2,6,5,4,7,1,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[7,8,2,5,3,1,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,8,1,5,3,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,6,7,5,3,2,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[6,5,1,2,4,8,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,4,1,2,5,6,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,7,3,6,5,2,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[8,1,3,7,2,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[7,3,2,6,5,1,8,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[8,2,7,4,5,6,1,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,2,3,6,5,1,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[7,9,8,6,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => 11111110
[2,9,8,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => 11111110
[8,10,9,7,6,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => 111111110
[7,10,9,8,6,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => 111111110
[6,10,9,8,7,5,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => 111111110
[5,10,9,8,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => [10,9,8,7,5,4,3,2,1,6] => 111111110
[4,10,9,8,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => 111111110
[1,8,7,6,5,3,2,4] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[2,8,7,6,3,4,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[3,10,9,8,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,2,1,4] => 111111110
[1,8,7,6,5,2,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[1,9,8,7,6,5,4,2,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 11111100
[2,10,9,8,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => 111111110
[7,2,8,6,5,4,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[7,2,8,5,4,6,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[6,8,5,4,3,1,7,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[5,8,6,4,1,3,7,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[3,6,1,8,5,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[3,4,1,2,8,6,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[6,8,3,5,4,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[7,2,5,8,3,6,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[1,7,5,6,3,4,2,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[7,2,6,8,5,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[7,6,3,8,5,2,1,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[5,2,8,4,1,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,6,3,4,7,2,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[6,8,3,4,5,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[1,6,3,2,5,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[8,3,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[2,5,1,8,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[6,2,5,4,8,1,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[4,3,1,6,5,8,2,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[6,1,3,4,5,8,2,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[7,5,4,2,6,8,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[8,2,6,4,1,7,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[7,3,8,4,5,2,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[1,7,3,2,5,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,7,2,1,5,3,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,3,6,4,5,1,7,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[6,4,7,2,3,5,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,8,4,1,3,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[3,4,7,8,6,2,5,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[6,5,1,8,4,7,3,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[8,2,7,4,6,1,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[4,7,3,2,8,1,6,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[8,7,3,6,1,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[7,8,2,5,4,3,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[1,8,3,4,2,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,5,3,7,4,2,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[5,7,3,2,4,1,8,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[1,7,6,3,2,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[3,8,1,5,6,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[7,1,5,2,8,6,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[6,5,4,8,7,2,1,3] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[1,8,6,4,5,2,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,8,5,3,6,2,7,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[3,6,2,1,7,5,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[2,5,4,1,8,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[3,4,7,8,2,5,6,1] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[1,8,2,4,5,6,7,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[5,2,4,1,6,8,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[3,2,5,7,6,1,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[5,3,4,1,7,6,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[1,3,2,7,5,8,6,4] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,3,2,7,5,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,3,2,8,5,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,5,2,4,8,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,2,7,8,5,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,6,7,8,2,5,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,5,7,8,2,3,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,6,7,3,4,8,5,2] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,5,3,7,4,8,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[2,8,4,1,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[1,3,8,4,2,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,2,7,4,8,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,5,2,4,8,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,8,3,5,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,2,6,8,5,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[1,6,7,8,5,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,5,7,8,6,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,4,7,6,8,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[2,3,8,7,4,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[1,2,6,8,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,2,7,8,6,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[5,2,6,7,3,4,8,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,2,1,7,8,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,2,1,4,8,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[2,6,1,4,5,8,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[5,4,2,7,6,3,8,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[2,6,1,7,5,8,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[5,4,6,1,3,8,7,2] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[3,6,4,1,5,8,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[2,6,1,5,4,8,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[5,1,2,4,8,6,7,3] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[5,1,2,4,8,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[5,1,2,4,8,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,2,3,8,5,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[4,3,1,2,8,5,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[2,1,5,3,8,6,4,7] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[1,2,3,8,5,6,4,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,2,3,8,6,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[1,2,3,8,6,5,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,2,3,8,5,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[2,6,1,5,4,8,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[5,1,2,4,8,6,3,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[5,1,2,4,8,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[5,4,6,3,1,8,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[3,6,4,5,1,8,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[3,6,5,4,1,8,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[5,1,6,2,8,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,2,4,1,7,8,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[5,1,4,2,8,6,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[2,1,3,6,8,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[1,2,3,8,6,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,3,8,7,5,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[1,2,3,8,7,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,2,3,8,5,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[2,1,3,6,8,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[3,1,6,2,8,7,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[1,2,3,4,5,9,6,7,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 10000000
[1,2,3,4,9,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 10000000
[1,2,3,9,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 10000000
[1,2,9,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 10000000
[1,2,3,4,5,6,7,10,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[1,2,3,4,5,9,7,6,8] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[1,2,3,4,5,6,10,7,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[1,2,3,4,5,10,6,7,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[1,2,3,4,10,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[1,8,3,4,2,5,6,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,2,3,10,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[1,2,10,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[8,4,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1111110
[8,4,7,5,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[8,5,7,4,6,3,2,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[8,7,6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => 1111110
[8,6,7,3,5,4,2,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[8,5,7,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[8,1,7,4,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[8,1,7,3,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[8,2,7,3,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[8,3,7,2,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[8,5,7,2,6,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[8,6,7,2,5,4,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[8,7,6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1111110
[8,3,7,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[8,2,7,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[8,1,7,2,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[8,7,6,2,5,3,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[8,1,7,6,5,3,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[8,3,7,6,5,2,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[8,4,7,6,5,2,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[8,5,7,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[8,6,7,5,4,1,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[8,3,7,6,5,1,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[8,7,6,2,5,1,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[8,7,6,1,5,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[6,8,1,3,2,5,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[6,8,1,4,2,5,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[7,8,2,5,3,6,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,8,2,5,1,4,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[5,8,1,4,3,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,8,2,5,1,4,3,7] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[6,8,2,5,4,7,1,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,5,4,7,6,8,1,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[2,5,3,7,6,8,1,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[2,5,1,4,3,7,6,8] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,6,5,8,1,4,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,6,1,5,3,7,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[2,6,3,7,4,8,1,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[5,8,3,6,4,7,1,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[5,8,2,6,4,7,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[4,8,2,6,3,7,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[4,8,1,5,2,6,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[6,8,3,7,1,4,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[5,8,1,3,2,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,8,4,7,1,3,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,8,4,7,1,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[4,7,5,8,1,3,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[4,7,1,3,2,6,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[3,7,1,4,2,6,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,7,5,8,1,4,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[3,7,6,8,2,5,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[4,7,5,8,3,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[3,7,5,8,2,6,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[3,7,4,8,2,6,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[3,7,4,8,1,5,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[3,7,1,5,2,6,4,8] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,7,2,6,1,5,4,8] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,7,2,6,5,8,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,6,5,8,4,7,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[2,6,5,8,4,7,1,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,6,3,7,1,5,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[7,6,4,2,8,5,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[6,8,4,3,7,2,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[6,7,4,3,5,1,8,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,7,3,5,4,8,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[7,6,8,3,5,2,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[7,6,3,5,8,2,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[7,6,3,8,2,4,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[6,3,4,8,7,2,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,3,8,4,7,2,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,2,8,4,1,7,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[6,3,4,7,5,8,2,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,3,5,7,8,4,2,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[5,6,8,3,7,2,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[4,6,8,3,5,7,2,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,3,8,2,4,1,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,8,3,6,2,5,7,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,7,8,3,5,6,2,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[5,8,3,7,2,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[5,8,4,2,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,4,2,8,5,3,1,7] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[5,6,3,4,8,2,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[6,4,2,5,1,7,3,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,3,7,2,4,1,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,5,8,3,6,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,5,8,3,7,2,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[5,3,6,8,2,1,4,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,3,6,7,1,8,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[4,6,3,5,7,8,2,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,5,7,3,6,8,2,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[5,7,4,8,6,3,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,5,6,7,2,8,4,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[4,5,6,7,8,9,3,2,1] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[3,2,5,4,7,6,9,8,1] => [[1,4,6,8],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8] => 10001000
[3,4,5,6,7,8,9,2,1] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[5,4,3,2,1,10,9,8,7,6] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => [5,10,4,9,3,8,2,7,1,6] => 010101010
[4,7,3,9,6,2,10,8,5,1] => [[1,5,8,10],[2,6,9],[3,7],[4]] => [4,3,7,2,6,9,1,5,8,10] => 101001000
[4,5,6,7,8,9,10,3,2,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => 111000000
[3,4,5,6,7,8,9,10,2,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[1,6,2,5,3,4,8,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,3,8,2,4,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,7,2,3,6,4,8,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,6,8,2,5,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[1,8,2,5,3,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,8,2,3,6,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,3,5,2,8,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,2,7,3,5,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,8,2,7,3,4,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,5,8,2,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,6,8,2,3,5,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[7,1,5,8,4,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[8,1,5,7,4,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,1,4,5,8,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,4,1,6,2,8,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[8,4,1,7,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,1,4,7,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,1,5,4,7,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,1,5,4,8,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,1,4,8,5,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[6,4,1,7,2,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[8,7,1,6,4,2,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,3,7,1,2,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,3,7,5,1,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,7,1,8,4,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[7,1,8,5,4,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,1,8,4,5,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[6,1,2,3,8,7,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,8,3,1,2,7,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[6,7,3,1,2,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,7,1,4,2,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[4,3,6,8,5,7,1,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[6,1,2,5,4,8,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,3,6,8,7,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,2,8,5,7,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[2,6,1,5,8,3,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[8,3,6,4,7,2,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[2,7,4,6,8,1,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,7,5,8,6,4,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[8,2,6,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[3,4,2,7,8,1,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[4,1,7,3,8,5,2,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[3,6,1,4,5,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[1,6,7,4,5,3,8,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,1,7,3,5,4,8,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,4,7,2,8,5,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[5,6,8,7,2,4,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[8,2,4,3,7,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[6,8,2,1,5,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[2,7,8,1,4,6,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[4,1,6,8,5,3,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,2,6,4,8,3,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[6,7,1,3,4,5,8,2] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,7,3,2,4,8,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[6,3,4,2,8,7,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,8,7,4,2,3,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[3,6,4,5,2,8,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,3,8,6,1,2,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[2,5,6,3,4,8,7,1] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[3,8,7,2,6,4,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[6,3,5,4,8,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[8,5,2,7,1,4,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[1,8,5,3,6,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[5,4,1,3,8,6,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,1,8,6,3,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[4,5,2,8,3,7,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[8,2,3,7,6,4,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[6,8,2,5,3,4,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[1,6,7,4,8,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[7,1,3,5,8,2,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[6,3,1,4,7,5,8,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[2,8,3,6,7,5,4,1] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[3,1,7,2,8,5,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,5,8,4,7,2,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[2,1,8,4,5,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[1,8,5,7,3,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[2,7,4,1,5,3,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[7,4,8,6,2,3,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[2,7,1,4,6,3,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[7,1,3,2,8,5,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[3,8,6,5,1,4,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[4,8,5,2,7,3,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[7,2,8,5,3,6,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[5,2,8,4,3,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[7,5,2,8,4,6,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[5,7,4,3,6,2,8,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[6,7,5,1,2,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[5,2,6,8,3,4,7,1] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[7,6,2,4,5,8,3,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[3,6,8,4,7,2,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[7,6,3,8,4,2,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[7,2,3,6,5,8,4,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[6,2,7,5,8,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[2,1,5,6,8,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[1,6,8,3,2,7,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[7,5,1,2,8,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[5,4,8,3,6,2,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,4,5,8,2,7,3,1] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[5,7,3,6,4,8,2,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[1,5,6,4,8,2,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[3,5,1,6,4,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[1,2,6,4,3,8,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,2,6,3,5,8,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[2,3,5,1,8,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,3,6,1,8,5,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[1,2,7,3,6,8,5,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[2,3,6,1,8,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[1,2,5,8,4,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,3,6,8,5,2,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[1,2,6,8,5,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,3,5,8,2,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,4,6,8,3,2,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[1,3,7,5,6,8,2,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,2,6,7,3,8,5,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,2,5,7,3,8,6,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[3,1,5,7,6,8,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,5,4,6,8,2,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,6,2,7,5,8,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,5,7,4,8,2,6,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[2,4,7,6,8,3,5,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[1,4,6,8,3,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[1,3,5,8,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,2,5,8,4,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,2,5,8,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,3,5,8,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[5,7,1,2,8,6,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,4,5,7,2,8,1,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,3,4,7,2,8,1,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,2,7,4,6,8,1,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,3,6,2,7,1,4,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[2,6,3,4,7,1,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[2,7,3,4,5,8,1,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[3,7,4,5,6,8,1,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[2,5,7,3,6,8,1,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[6,5,2,3,4,8,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[5,3,1,2,8,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,2,1,7,3,4,6,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[5,2,1,8,3,4,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[6,3,2,8,4,5,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,4,1,3,8,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,2,3,1,8,4,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[8,3,5,2,7,1,4,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[8,6,2,4,7,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[8,6,3,7,2,4,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[7,1,6,2,3,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[8,2,7,3,4,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[8,1,6,2,3,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[8,1,5,7,2,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,7,5,8,2,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,2,1,8,3,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[7,3,8,2,4,5,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,2,8,3,4,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[1,7,8,3,4,5,6,2] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[4,7,1,3,8,5,6,2] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,6,2,8,4,5,7,3] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,3,4,6,8,2,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,6,3,8,7,1,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[6,4,5,8,7,1,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[3,2,8,7,1,4,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,1,8,7,2,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[5,3,7,6,1,2,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[1,8,3,7,2,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,8,1,7,2,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[6,2,8,7,1,4,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[3,8,7,1,4,5,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[1,7,6,2,3,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,8,6,2,3,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[2,8,7,3,4,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[3,8,7,2,4,5,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[7,8,3,6,2,4,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[1,5,8,7,2,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,7,6,1,3,4,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[3,4,7,2,5,1,8,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[2,1,6,4,8,5,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[3,6,2,5,7,1,4,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[1,2,8,3,7,5,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[6,1,3,2,8,5,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[1,6,3,8,7,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,2,3,4,5,10,9,8,7,6] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 111100000
[11,12,9,10,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,5,6,3,4,1,2] => 01010101010
[3,1,2,4,5,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => 10000000
[2,4,1,3,5,6,7,8,9] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[2,3,4,5,6,8,1,7,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[3,6,8,7,1,2,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[3,4,1,6,5,8,7,2] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[3,5,1,2,4,8,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[3,7,5,2,1,4,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,8,5,2,7,4,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[5,2,8,4,7,3,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,2,7,4,1,3,6,8] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[4,3,5,1,2,8,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[3,1,4,6,2,8,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[1,4,6,5,2,8,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[3,4,5,6,1,8,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[3,4,5,8,7,2,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[1,4,7,2,6,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[8,1,4,7,2,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,8,5,7,3,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[6,1,4,8,7,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[6,4,8,5,7,1,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[5,4,8,1,6,3,2,7] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[4,6,3,7,5,8,1,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,7,4,3,8,1,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[1,4,8,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[4,3,8,2,1,6,5,7] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,8,4,2,7,1,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,1,2,5,7,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,8,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[3,8,1,6,7,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[3,7,2,6,8,5,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[7,2,3,8,5,6,1,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[8,2,4,3,6,1,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,8,7,1,4,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[3,4,1,8,5,7,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[3,6,5,1,2,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,8,5,6,7,2,1,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,1,7,6,2,4,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,6,5,4,7,1,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[1,7,5,3,6,8,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[1,2,5,8,6,7,3,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[4,2,1,5,8,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[5,2,4,6,1,7,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[1,5,3,6,8,7,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[3,1,5,7,6,8,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[1,4,5,6,8,7,2,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,7,3,6,5,2,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[8,6,2,5,4,1,7,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[3,7,2,6,5,4,1,8] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[7,6,2,5,4,3,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[4,7,5,2,6,3,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[1,3,4,7,6,2,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[2,8,3,6,1,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,8,2,6,5,1,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[7,8,2,5,4,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[4,8,5,2,6,1,7,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,5,1,3,7,2,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[7,1,3,6,2,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,2,4,7,3,8,6,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[7,1,8,2,6,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[3,1,8,6,2,7,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[4,1,7,8,2,6,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[5,6,1,8,2,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[3,2,8,6,1,7,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[7,2,8,1,6,5,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[1,8,7,2,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[2,8,7,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[3,8,7,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[6,7,8,5,1,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[7,3,8,5,4,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[3,4,8,6,5,1,7,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[8,3,7,5,1,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[1,4,8,6,2,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[5,6,4,7,8,1,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[3,4,6,5,1,2,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[7,3,5,1,2,8,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[1,4,6,2,3,8,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[4,5,2,1,7,3,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[5,6,7,1,2,8,4,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,7,5,1,2,8,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[3,7,1,6,2,8,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[7,6,1,2,8,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[1,7,2,3,8,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,7,1,2,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[7,8,1,2,6,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[3,8,1,6,2,7,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[4,8,5,1,2,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[5,6,8,1,2,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[5,3,6,4,2,8,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[4,1,5,3,8,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[2,6,3,4,7,5,1,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[2,6,3,5,4,8,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[2,7,4,3,5,8,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,3,6,4,2,8,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[5,4,3,1,8,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,5,4,2,7,3,1,8] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[5,4,1,8,3,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[6,5,2,8,3,4,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[7,4,2,1,8,3,6,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[6,5,3,4,8,2,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[4,6,3,1,8,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[5,8,4,2,7,3,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[8,2,6,4,7,3,1,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,6,2,5,7,4,1,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[8,5,3,2,6,4,1,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[8,3,1,7,2,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[7,5,2,6,4,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[7,1,6,2,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[8,1,7,3,5,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[8,6,1,7,4,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,1,3,7,2,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[7,1,5,8,4,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,3,8,4,5,2,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[6,1,8,4,3,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,2,7,3,4,6,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,7,8,4,3,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[1,6,2,8,3,5,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[2,6,1,7,3,5,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[4,3,1,6,8,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[5,7,4,8,3,2,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,4,8,2,7,3,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,2,8,7,3,4,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[6,4,7,5,3,2,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[1,8,3,7,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[5,8,3,2,6,4,1,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[6,8,2,4,7,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[7,3,8,2,6,4,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[4,6,8,2,7,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[7,2,8,6,3,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[3,8,7,4,5,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[2,8,6,4,3,5,1,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[2,7,6,3,5,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[1,7,6,5,2,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[3,8,7,4,6,2,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[5,8,3,7,6,2,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[7,1,8,6,5,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,4,7,5,3,2,1,6] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[1,5,7,8,4,3,6,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[6,3,8,1,5,4,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[6,2,1,8,5,4,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,6,5,7,4,1,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[2,5,4,7,1,8,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[5,2,1,8,7,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[6,5,4,8,2,1,7,3] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[5,8,4,7,2,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[5,8,3,2,7,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[5,2,1,4,3,6,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[3,5,7,4,2,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,2,1,6,5,3,7,8] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[3,5,4,7,1,6,2,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,4,5,8,6,7,1,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[2,4,6,8,1,3,5,7,9] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[8,7,6,5,4,3,2,10,1,9] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,10,1,9] => 111111010
[6,5,4,10,3,9,2,8,1,7] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => [6,5,4,10,3,9,2,8,1,7] => 110101010
[6,5,4,3,2,8,10,1,7,9] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => [6,5,4,3,2,8,10,1,7,9] => 111100100
[4,8,3,7,2,6,10,1,5,9] => [[1,5,9],[2,6,10],[3,7],[4,8]] => [4,8,3,7,2,6,10,1,5,9] => 010100100
[4,3,2,6,8,10,1,5,7,9] => [[1,5,7,9],[2,6,8,10],[3],[4]] => [4,3,2,6,8,10,1,5,7,9] => 110001000
[4,1,8,2,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,1,7,2,8,3,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[7,1,8,2,4,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[8,1,7,2,5,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[7,1,5,2,8,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[5,1,7,2,8,3,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[5,1,8,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[5,1,8,2,4,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[6,1,8,2,5,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[8,1,6,2,5,3,7,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,1,6,2,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,1,8,2,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,1,7,2,8,3,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,1,7,2,5,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,1,7,2,4,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[7,1,5,2,4,3,8,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,1,6,2,5,3,8,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,1,6,2,8,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,1,8,2,6,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,8,2,7,5,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[1,8,2,7,4,3,5,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[7,4,8,1,5,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,5,8,3,2,4,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,4,8,2,1,3,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,5,4,8,2,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[4,1,6,3,2,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[6,5,4,3,7,1,8,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,5,4,3,8,2,7,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[6,5,4,3,8,7,1,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[7,6,3,8,5,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[5,4,8,2,1,7,3,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,4,2,8,5,1,3,7] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[7,2,8,6,3,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[7,2,8,6,1,5,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[6,4,1,7,8,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[4,1,5,3,2,8,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[6,3,1,7,8,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[6,5,4,2,7,8,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[4,3,1,5,2,6,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[5,4,3,1,6,7,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[6,3,8,1,2,5,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[3,6,7,1,2,5,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[7,8,3,1,2,5,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,8,2,1,3,5,4,6] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[5,2,3,7,1,8,6,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[2,6,7,3,1,8,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[2,6,7,1,3,5,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,2,8,3,1,7,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[3,2,5,7,1,8,4,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[4,3,1,2,7,8,6,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,1,2,7,3,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[5,3,4,7,8,6,1,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,5,4,6,8,7,1,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[1,6,7,3,2,4,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,5,3,6,2,7,8,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[5,1,3,7,2,6,8,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[5,2,4,7,8,1,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[4,5,2,8,6,1,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,3,1,8,2,6,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[6,1,8,3,2,4,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[4,3,5,7,6,8,1,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,1,5,7,6,2,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[4,5,1,8,6,2,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,4,2,1,8,7,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[7,6,5,4,2,1,8,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[7,6,5,4,8,1,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[7,6,5,8,2,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[8,5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[8,6,5,4,3,2,1,9,7] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 11111010
[7,6,5,4,3,2,1,9,8] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8] => 11111010
[7,6,5,4,1,8,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[8,7,6,5,4,9,1,3,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[7,6,5,2,8,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[7,6,5,8,4,1,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[7,6,8,5,2,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[7,8,6,3,2,1,5,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[8,7,4,3,2,1,6,5] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[9,6,5,4,3,2,1,8,7] => [[1,7],[2,8],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,8,1,7] => 11111010
[9,7,6,5,4,3,2,1,10,8] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => 111111010
[7,8,4,5,9,2,3,6,10,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 101001000
[7,8,1,3,2,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,8,4,1,5,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[3,2,5,6,1,4,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,2,6,1,4,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,4,6,7,8,1,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[1,5,3,6,2,4,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[2,5,4,6,7,1,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[4,2,5,6,7,1,3,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[6,1,7,3,2,4,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[7,3,2,5,4,1,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[7,3,5,4,2,1,6,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[7,3,5,2,4,1,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[1,3,6,7,5,2,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[7,3,4,1,6,2,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,3,4,1,5,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[7,3,2,5,1,6,4,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[7,6,5,4,1,3,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[7,3,4,1,5,2,6,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[1,3,6,7,2,5,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,7,4,6,2,8,5,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[4,3,1,7,2,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,6,1,4,7,3,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,3,2,1,7,4,8,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[1,3,4,5,8,7,2,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[6,3,4,5,8,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[2,4,5,1,6,8,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[3,1,2,5,6,8,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[4,3,2,5,6,8,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,7,5,4,6,8,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,1,4,6,5,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[2,3,4,5,8,6,1,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[3,1,4,6,5,8,7,2] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[3,7,5,4,6,8,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[5,6,1,4,7,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,3,1,7,5,6,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[1,4,5,2,6,8,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[3,7,5,2,6,8,1,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,7,5,2,6,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[5,6,1,2,7,4,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[6,3,5,2,4,7,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[5,3,2,1,4,7,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,1,4,2,7,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,3,1,2,4,7,8,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[7,1,5,2,6,8,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[7,1,5,2,6,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,7,4,6,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[2,7,4,6,1,8,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[4,3,2,6,7,1,8,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[7,3,2,5,6,8,1,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[7,1,5,4,6,8,2,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[7,3,4,5,8,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,3,4,5,8,1,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,3,4,5,8,1,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[1,3,4,5,8,6,2,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,3,4,5,8,2,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[6,3,4,5,8,2,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,3,4,5,8,2,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[7,3,4,5,8,6,2,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[2,7,4,6,5,8,3,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,1,5,4,6,8,3,2] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[7,3,2,5,6,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[6,3,4,5,8,1,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[7,3,4,5,8,2,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,3,4,5,8,2,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[4,8,6,1,7,5,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[8,6,4,2,7,5,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[8,4,7,3,6,5,1,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[6,4,7,1,8,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[7,4,8,3,6,1,5,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[6,12,5,11,4,10,3,9,2,8,1,7] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => [6,12,5,11,4,10,3,9,2,8,1,7] => 01010101010
[6,2,1,7,3,5,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[2,1,8,6,3,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,6,3,1,4,8,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[4,2,1,8,3,6,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,1,8,6,3,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[6,2,1,7,3,5,8,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[2,7,3,1,4,8,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[3,2,1,6,4,5,7,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,2,1,5,7,8,4,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[4,3,7,5,6,1,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,3,6,8,5,1,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[2,6,1,8,3,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,1,6,8,3,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,1,8,3,5,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[3,2,1,5,6,8,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,2,1,5,7,4,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[2,1,6,3,5,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[8,2,4,1,7,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,8,4,7,5,1,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[8,2,1,7,3,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,6,1,8,3,5,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[8,2,4,1,7,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[5,8,6,3,1,7,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[2,4,7,1,8,5,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,4,8,5,1,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[6,2,1,7,3,4,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[3,2,1,6,8,4,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,1,8,3,6,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,4,8,5,1,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[3,2,1,8,4,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[1,6,8,3,7,2,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[3,8,1,5,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,1,5,8,2,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[4,1,2,7,8,3,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[3,5,7,4,8,6,1,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[8,7,1,2,5,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[5,8,1,2,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,2,8,4,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,2,5,3,7,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,2,6,3,8,5,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,2,8,5,3,6,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,2,7,3,8,5,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[4,1,2,7,8,6,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,6,2,8,4,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,6,4,2,7,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,7,3,2,8,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,8,7,2,4,5,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[1,8,7,3,5,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,3,2,8,7,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,8,3,2,6,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,2,8,4,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[8,5,1,7,2,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[3,8,6,4,7,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[1,2,5,3,8,6,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,2,7,5,3,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,2,6,3,7,5,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,2,3,7,5,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,8,2,7,6,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[2,9,8,7,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => 11111010
[2,8,7,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[7,1,6,3,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,8,4,6,5,3,2,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[7,6,1,4,3,5,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[7,4,1,3,5,2,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[7,3,1,2,4,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,8,6,7,4,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[3,6,2,1,4,8,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,1,7,2,4,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[3,4,7,1,5,2,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[3,6,7,4,1,5,8,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[4,3,2,7,1,5,8,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[5,4,8,6,1,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[5,6,8,7,4,3,1,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[1,8,2,7,4,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[6,4,8,5,3,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[5,7,8,6,1,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[2,4,8,1,6,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[5,3,2,6,4,8,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[4,1,6,3,5,8,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[2,4,5,3,8,6,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[1,8,4,5,2,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[4,1,2,7,6,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[2,4,1,6,7,8,5,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[5,6,7,3,2,8,1,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[2,5,7,3,6,8,4,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[5,3,2,1,4,8,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[3,4,7,8,1,2,6,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,6,2,8,1,5,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[2,3,6,8,5,1,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[3,1,6,4,8,2,5,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[7,3,2,6,8,5,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[7,3,5,8,4,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,2,8,4,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,4,5,8,2,1,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[1,8,5,2,4,6,3,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,8,4,2,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[6,4,2,8,3,5,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[6,3,4,8,2,5,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[7,5,4,8,3,6,2,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[2,7,4,8,5,3,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[2,5,6,8,3,4,1,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[8,4,6,2,7,5,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[8,5,6,7,2,4,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[2,5,7,8,4,1,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[6,5,7,8,4,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[4,3,2,6,8,5,1,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[3,5,6,8,2,4,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,6,8,4,2,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[3,5,7,8,2,1,4,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[6,4,7,3,8,1,5,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,4,7,3,8,1,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,3,2,5,4,8,1,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[5,4,6,3,8,2,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[2,5,7,8,3,1,6,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[4,5,7,8,3,1,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,5,6,8,2,3,1,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[5,4,6,2,8,3,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[5,3,2,6,8,4,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,4,7,2,8,1,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[4,5,7,8,2,1,3,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[2,6,7,8,1,3,5,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[2,6,7,8,1,5,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[5,4,7,2,8,1,6,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,3,2,7,8,1,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[4,3,2,7,8,1,6,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[3,5,7,8,2,1,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,6,7,8,1,2,5,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[3,6,7,8,1,5,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[2,6,7,8,1,5,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,4,5,6,7,8,9,1,2,10] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[2,4,5,6,7,8,1,3,9] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[4,2,7,1,5,3,8,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[3,2,6,7,5,1,4,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[4,7,2,1,5,8,6,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[7,2,1,3,5,8,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[2,3,6,4,7,1,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[1,3,4,8,2,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,1,4,8,2,6,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[6,4,7,3,5,1,8,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,4,7,5,1,8,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[3,6,1,7,5,8,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[7,3,5,1,6,8,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[4,7,3,5,6,1,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[3,4,6,8,5,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[1,8,2,3,5,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[2,6,1,3,5,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[7,3,2,5,6,1,4,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[4,7,5,2,6,1,3,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[8,4,1,2,7,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[4,5,6,2,7,1,3,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[8,5,1,2,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,6,2,7,4,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,7,3,8,4,1,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[2,7,8,4,1,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[2,7,1,8,5,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[8,2,5,1,6,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[8,2,4,5,1,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[3,8,4,5,6,1,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[4,2,8,3,7,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[7,2,3,4,8,1,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[7,6,3,5,8,4,1,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[7,2,3,8,5,1,4,6] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[7,2,3,8,5,1,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[2,6,4,8,1,5,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[7,2,3,8,4,1,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[7,8,2,3,6,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[4,2,6,3,7,1,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[7,2,3,5,8,1,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[3,6,4,8,1,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[7,6,5,1,2,3,8,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,6,5,1,4,2,8,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[2,6,4,5,1,8,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[3,5,6,4,1,2,7,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[7,8,5,4,1,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,6,5,1,4,2,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[7,6,5,1,2,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[7,6,5,1,2,4,8,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[7,2,3,4,5,1,8,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,6,4,3,1,5,8,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,6,4,3,1,8,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,6,4,3,1,8,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[3,5,8,4,1,6,2,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[4,2,8,3,6,1,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[3,5,8,4,1,6,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[2,5,8,4,1,7,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[3,6,4,2,1,7,8,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,6,4,2,1,7,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,5,6,4,1,8,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[2,6,4,5,1,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[7,6,5,1,4,3,8,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[7,6,5,1,2,8,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,6,5,1,2,8,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,6,5,1,8,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,6,5,1,8,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,6,5,1,4,8,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[2,5,6,4,1,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,5,6,4,1,7,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[7,6,5,1,4,8,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[7,6,5,1,8,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[4,1,7,6,2,8,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[7,8,6,2,1,3,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[2,6,5,3,1,4,8,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[4,6,1,5,3,2,8,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[3,6,1,4,2,5,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[2,6,4,5,7,8,1,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[8,7,1,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[6,1,3,4,2,8,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[2,4,5,6,1,8,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,8,3,4,7,5,1,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[6,8,2,7,4,3,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[4,7,8,5,1,6,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[8,2,6,4,7,3,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[3,8,5,1,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,8,7,1,3,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[2,5,1,8,7,4,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[3,7,1,8,4,5,6,2] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[8,6,4,3,1,7,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,3,7,4,6,1,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[2,3,5,8,6,7,4,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[7,4,2,1,8,6,5,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[4,6,7,2,5,8,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[7,6,2,5,3,8,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,2,1,3,4,8,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[6,5,4,2,8,3,1,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[5,4,3,1,8,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,1,4,3,8,5,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[3,4,2,1,8,6,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[6,4,5,8,3,1,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[8,1,3,2,5,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[3,6,8,1,5,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,2,8,7,4,5,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[6,3,8,5,7,4,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[7,4,6,8,5,1,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[2,1,4,8,7,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,6,8,2,4,1,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[6,2,8,1,7,5,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[2,6,5,4,8,1,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,5,3,4,8,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[4,2,8,1,5,3,6,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[7,4,8,6,2,1,3,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[4,6,2,8,3,7,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[2,1,5,8,3,6,4,7] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[5,8,4,1,6,3,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[4,8,1,3,5,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[3,8,1,4,5,6,2,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[7,6,8,3,5,1,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[8,9,6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[9,7,10,5,8,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => 010101010
[5,3,8,7,6,1,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[6,5,8,4,7,1,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[6,7,4,2,5,3,1,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[7,4,8,5,6,1,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[7,4,2,5,6,3,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[4,2,7,5,6,3,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,4,7,5,6,2,1,8] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[4,7,3,5,6,2,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,7,2,5,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[7,8,3,5,6,1,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[6,2,8,5,1,7,4,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[6,7,4,8,2,1,5,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[3,2,7,8,6,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[1,8,2,5,6,4,3,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[3,8,1,5,2,7,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,2,1,5,3,7,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[1,5,2,4,6,7,8,3] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[4,1,5,3,6,7,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[7,1,4,6,3,2,8,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[7,6,4,3,1,2,8,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[8,6,3,5,1,7,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[4,5,3,1,6,7,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,5,2,1,6,7,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[1,5,3,2,6,7,8,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[8,4,6,5,1,7,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[7,5,4,6,1,2,8,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[3,2,5,6,1,7,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,2,8,7,6,1,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[6,8,4,7,2,1,3,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[3,8,7,5,6,1,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,2,7,5,6,1,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[1,7,4,6,2,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[8,6,4,7,3,1,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[3,5,4,2,7,1,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[8,6,4,1,3,5,2,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[6,7,4,1,5,3,8,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[7,5,4,1,2,6,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,7,4,2,3,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,8,2,5,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,8,1,5,4,7,3,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[3,8,1,5,6,4,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[6,8,4,1,2,5,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[3,2,8,1,6,5,4,7] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,2,6,1,5,7,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[7,6,4,1,5,2,8,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[3,5,1,4,6,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[5,2,1,4,6,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[5,4,1,3,6,7,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[3,2,5,1,4,7,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[7,1,4,3,5,2,8,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[8,1,3,5,4,7,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[5,1,3,4,6,7,8,2] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[8,3,2,6,1,4,7,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[2,6,8,1,5,7,4,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,7,1,6,4,8,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[2,8,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[8,3,2,7,1,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[4,1,8,7,3,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,7,1,8,6,5,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[7,3,6,2,1,4,5,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[7,4,2,8,1,6,5,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[8,7,5,3,2,1,6,4] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[7,5,2,6,3,1,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[6,8,4,5,2,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[4,6,8,5,1,7,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[4,7,5,1,3,8,6,2] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[5,1,7,6,4,2,8,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[8,5,2,1,7,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[8,5,2,1,6,3,7,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[5,1,8,6,3,2,7,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[8,4,2,5,7,3,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[5,4,8,2,7,3,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,4,8,7,3,6,1,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[6,3,7,2,4,8,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[5,7,4,2,8,1,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[6,5,2,7,1,3,8,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[8,6,5,4,2,1,7,3] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[6,4,7,3,1,8,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[7,5,8,4,6,3,2,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[6,5,4,3,2,1,9,8,7] => [[1,7],[2,8],[3,9],[4],[5],[6]] => [6,5,4,3,9,2,8,1,7] => 11101010
[5,4,3,2,1,9,8,7,6] => [[1,6],[2,7],[3,8],[4,9],[5]] => [5,4,9,3,8,2,7,1,6] => 10101010
[3,2,1,5,4,7,6,9,8] => [[1,4,6,8],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8] => 10001000
[2,1,4,3,5,6,7,8,9] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[7,6,5,4,3,2,1,10,9,8] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => [7,6,5,4,3,10,2,9,1,8] => 111101010
[3,2,1,5,4,7,6,9,8,10] => [[1,4,6,8,10],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8,10] => 100010000
[5,6,3,7,4,2,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[7,6,3,8,5,1,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[6,4,8,1,3,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[7,4,8,6,3,1,5,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[3,7,2,4,6,5,1,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[8,1,3,4,5,2,6,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,6,8,4,2,5,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[6,2,8,4,1,5,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[6,7,4,8,5,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,1,4,8,5,3,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,4,8,5,2,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[6,1,8,4,3,7,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[3,7,1,4,2,5,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[4,1,5,3,6,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[7,1,4,6,3,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[3,2,6,4,1,8,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[7,6,4,3,1,8,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[3,5,2,1,8,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[1,5,3,2,8,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,4,2,1,7,8,6,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[8,2,7,6,5,1,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,6,2,7,1,4,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[1,7,3,6,2,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[7,6,3,2,1,8,5,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[8,6,3,7,4,1,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[5,2,3,4,7,1,8,6] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[8,6,3,1,4,5,7,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[5,8,3,1,2,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[8,1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[8,4,1,7,2,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,2,1,6,5,4,7,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[3,8,1,5,6,4,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[6,8,4,1,2,5,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[3,2,8,1,6,5,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[7,6,4,1,5,2,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[8,6,1,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[3,5,1,4,6,7,2,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[5,2,1,4,7,6,3,8] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[4,5,8,2,1,3,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[5,8,2,3,1,4,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[4,2,1,3,5,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[5,4,1,3,6,2,8,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[3,2,5,1,4,6,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[7,1,3,5,4,6,2,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[5,1,3,4,6,2,7,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[3,1,5,2,4,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[3,1,2,5,4,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[3,1,4,2,6,5,8,7,10,9] => [[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => 000010000
[3,1,5,2,7,4,9,6,8,10] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[1,3,5,2,4,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[3,1,2,5,4,7,6,9,8,10] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[4,6,7,3,1,5,2,8] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[6,8,1,3,5,2,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[6,8,3,1,4,5,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[7,5,1,8,2,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[5,3,8,4,2,6,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,5,7,2,3,6,8,1] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[2,6,3,4,7,5,8,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,3,1,4,8,5,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[6,4,2,8,7,1,5,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[7,2,4,8,1,5,3,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[4,6,3,1,7,8,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,3,1,6,7,8,4,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[4,5,6,7,8,9,1,2,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[4,5,6,7,8,9,2,3,1] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[5,6,7,8,9,1,2,3,4] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 00010000
[6,7,8,9,2,3,4,5,1] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 10001000
[8,9,6,7,5,4,3,2,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 11111010
[4,5,6,7,8,9,10,1,2,3] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 001000000
[4,5,6,7,8,9,10,2,3,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 101000000
[5,6,7,8,9,10,1,2,3,4] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 000100000
[8,9,10,5,6,7,2,3,4,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => [8,5,9,10,2,6,7,1,3,4] => 100100100
[4,8,3,7,6,5,1,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[6,3,8,7,5,4,1,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[5,3,8,7,6,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[2,8,7,6,1,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[5,2,8,7,6,1,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[6,2,8,7,5,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[7,8,2,6,5,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[6,1,8,7,5,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[3,1,8,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[7,8,2,6,1,5,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[6,2,8,7,1,5,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[4,2,8,1,7,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[4,8,2,7,6,1,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[3,8,7,2,1,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[6,5,8,7,1,4,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[5,4,1,8,7,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[7,8,3,1,6,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[6,3,8,1,7,5,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[5,3,1,8,7,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[7,8,2,1,6,5,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[6,5,3,1,8,7,4,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[6,4,3,1,8,7,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[7,5,2,1,8,6,4,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[5,4,2,1,8,7,6,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[7,3,2,1,8,6,5,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[6,3,2,1,8,7,5,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[9,7,5,3,1,10,8,6,4,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => 010101010
[6,1,4,2,3,5,8,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[8,6,1,4,2,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[6,8,1,4,2,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[6,2,3,8,1,4,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[4,6,2,3,8,1,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,8,2,3,6,1,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[6,2,3,8,4,1,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[8,4,2,3,6,1,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,4,2,3,8,1,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,6,4,3,8,1,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,8,4,3,6,1,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,6,3,8,4,1,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[6,3,8,4,2,1,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[2,6,3,8,1,4,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[8,3,6,2,4,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,3,6,2,1,4,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[6,2,1,3,8,4,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[6,3,8,2,4,1,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,2,4,3,8,1,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,6,4,7,8,5,1,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[3,6,4,2,7,1,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[1,4,7,2,5,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[6,4,8,5,3,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[4,2,5,3,6,1,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[7,1,5,3,6,2,8,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[1,6,5,2,4,8,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,4,6,2,8,5,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[7,8,1,4,2,5,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[3,4,8,5,2,1,6,7] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[6,1,3,5,8,2,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[1,2,8,5,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,8,2,5,4,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,1,2,4,5,8,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,2,7,3,5,8,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[6,1,3,2,5,7,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[4,6,2,1,7,5,3,8] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,6,2,3,7,8,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[7,3,2,4,5,1,8,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[3,8,2,5,4,1,7,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[7,8,4,2,6,3,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[4,3,8,5,1,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[4,3,6,8,1,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[6,5,3,8,4,2,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[6,1,7,2,8,3,9,4,10,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 000010000
[6,1,7,8,9,10,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 000010000
[7,1,8,2,9,3,10,4,11,5,12,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 00000100000
[3,8,1,7,5,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,2,5,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[1,5,8,7,2,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[5,4,8,6,2,3,7,1] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[6,4,1,8,2,5,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[2,8,6,1,3,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[4,1,3,6,5,8,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[2,1,6,3,5,8,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,4,1,3,8,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,4,1,3,5,8,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,6,1,3,5,8,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[4,6,1,3,5,8,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[6,1,4,3,5,8,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,4,1,3,5,8,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[4,2,1,3,6,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[4,2,1,6,3,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[6,1,4,3,8,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,6,4,3,8,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[8,2,1,3,6,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,1,6,3,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,1,4,3,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[6,2,1,4,3,5,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[8,2,4,1,3,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[8,2,6,1,3,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[1,6,4,8,3,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,4,1,8,3,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,4,8,1,3,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[4,2,8,1,3,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[2,6,8,1,3,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[4,6,8,1,3,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,6,1,8,3,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,1,6,8,3,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[1,4,6,3,8,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,6,1,3,8,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[2,4,1,8,3,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,1,6,8,3,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[4,1,3,6,8,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[1,4,3,6,8,5,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[2,1,8,3,6,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,1,6,4,3,5,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,6,1,4,3,5,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,8,1,4,3,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,8,1,6,3,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,8,6,1,3,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,8,4,1,3,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,6,4,1,3,5,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[4,6,2,1,3,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[6,8,1,4,3,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,1,8,4,3,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,6,8,4,3,5,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,8,6,4,3,5,7,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[8,1,6,4,3,5,7,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[8,6,1,4,3,5,7,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[8,6,4,1,3,5,7,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[8,6,2,1,3,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,4,2,1,3,5,7,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[7,8,6,5,2,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[5,6,4,2,8,3,7,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[5,7,1,4,6,3,2,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,8,1,4,6,3,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[3,6,7,4,5,8,2,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,5,7,4,6,8,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[6,8,4,1,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[5,4,6,1,7,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,6,4,1,8,7,3,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[3,5,8,4,6,7,2,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[3,6,8,4,5,7,2,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[3,7,8,4,5,6,2,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[6,8,1,4,5,3,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,7,1,4,5,3,2,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[3,7,1,5,4,6,2,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,8,1,5,4,6,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[3,7,1,5,4,6,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[6,7,1,4,5,3,8,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[5,7,1,4,6,3,8,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,4,7,2,8,3,1,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,4,7,2,8,3,6,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,6,4,2,8,3,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[5,8,1,4,6,3,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[3,8,1,5,4,6,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[6,8,3,1,4,2,5,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[7,3,8,1,4,2,5,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[6,7,3,1,4,2,8,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[3,4,1,2,7,6,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,4,1,2,6,8,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[6,4,7,2,8,5,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,8,1,4,7,3,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[7,8,1,4,5,3,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,7,3,1,4,2,5,8] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[7,8,4,2,6,5,1,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[6,5,8,7,3,4,2,1] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[6,7,3,1,4,5,2,8] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[3,7,1,5,4,2,6,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[5,8,1,4,7,3,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,8,4,2,7,5,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[6,4,7,2,8,5,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,3,7,1,4,8,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,8,3,1,4,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,7,1,5,4,8,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[3,7,1,5,4,2,8,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[6,7,3,1,4,5,8,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[7,3,8,1,4,5,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,3,8,1,4,5,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[6,8,3,1,4,5,2,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[3,8,1,5,4,2,6,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[9,8,7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => 11111110
[8,7,6,3,5,2,1,4] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[8,7,4,6,3,2,1,5] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[8,5,7,4,3,2,1,6] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[9,7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => 11111110
[9,8,7,6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 11111110
[10,9,8,7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => 111111110
[9,8,7,6,5,2,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => 11111010
[10,9,8,7,6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,2,1,4] => 111111110
[10,9,8,7,6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => 111111110
[8,7,6,2,5,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[10,9,8,7,5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => [10,9,8,7,5,4,3,2,1,6] => 111111110
[8,5,4,7,3,2,1,6] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[8,7,3,6,5,2,1,4] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[10,9,8,6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => 111111110
[6,5,8,4,3,2,1,7] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[8,4,7,6,3,2,1,5] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[9,6,8,5,4,3,2,1,7] => [[1,7],[2,8],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,8,1,7] => 11111010
[10,9,7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => 111111110
[5,8,7,4,3,2,1,6] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[10,8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => 111111110
[4,5,2,7,3,1,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,8,2,6,3,5,7,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,1,7,2,5,8,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[1,6,2,5,8,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[7,3,1,6,8,5,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[5,2,7,1,8,6,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[2,8,3,5,1,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[5,4,3,8,7,1,6,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[8,5,4,3,7,2,6,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[8,3,7,4,2,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[2,8,6,5,1,7,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[6,3,2,8,4,1,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[5,4,2,8,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[2,8,4,3,1,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[2,8,5,3,1,7,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[2,8,6,4,1,7,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[3,8,7,5,1,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,4,7,6,2,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[7,4,8,6,2,1,5,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[7,3,8,5,2,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,3,8,4,2,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,5,4,3,8,2,1,6] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[3,7,8,5,1,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[4,7,8,6,1,2,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[8,7,4,6,3,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[5,7,8,6,1,2,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,4,7,8,3,1,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[7,3,4,8,2,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,6,4,8,3,2,1,5] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[7,5,8,6,2,1,4,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[6,5,8,7,3,1,4,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[2,4,8,3,1,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[6,3,2,4,8,1,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,4,8,7,3,1,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[8,6,4,7,3,2,5,1] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[8,3,4,7,2,5,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,4,8,7,1,5,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[2,4,8,6,1,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[8,3,5,7,2,4,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[8,4,6,7,2,3,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[2,6,8,5,1,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[2,5,8,3,1,4,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[5,6,8,7,1,3,4,2] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[2,3,5,4,1,8,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[2,3,6,4,8,1,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[5,4,8,6,2,1,3,7] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[2,3,6,8,1,5,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,5,6,1,4,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,5,6,1,4,7,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[7,3,5,1,6,8,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[2,7,6,8,1,4,5,3] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[1,8,7,6,3,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[1,8,7,6,3,2,4,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[5,7,8,6,2,3,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[6,3,5,1,7,2,4,8] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[7,3,5,8,4,1,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[1,8,4,5,2,7,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[7,3,5,8,4,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,3,5,4,6,8,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,4,1,5,6,8,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[3,7,1,6,8,5,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[2,3,1,8,6,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[3,7,1,6,8,5,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[6,3,5,4,7,2,1,8] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[7,3,5,4,6,8,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[1,8,4,5,2,6,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[6,4,8,5,3,1,2,7] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[7,3,5,8,4,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[2,3,4,6,5,8,1,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[2,3,4,7,5,1,8,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,3,4,7,5,1,6,8] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => 1100000
[6,3,5,8,4,2,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[1,8,4,5,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[6,3,5,8,4,2,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[1,5,7,4,6,3,2,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[3,8,5,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[6,8,3,4,5,7,2,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,4,1,7,8,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[5,4,2,7,8,3,6,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,1,4,6,8,3,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,1,8,4,6,3,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[8,1,6,4,5,3,2,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[8,1,3,5,4,6,2,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[8,1,6,2,4,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[8,7,1,2,4,3,5,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[8,7,3,2,4,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,7,2,4,5,3,6,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[5,8,2,4,7,3,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,8,3,2,4,7,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[8,1,2,5,4,3,6,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[3,4,8,7,5,2,6,1] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[3,2,8,6,1,5,4,7] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[8,6,1,2,4,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[8,7,3,6,4,2,5,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[8,7,2,4,5,6,3,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[5,3,6,2,4,8,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,1,8,6,2,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[2,5,4,1,8,6,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[3,7,6,1,8,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[8,2,3,6,1,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[1,8,2,6,3,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[8,1,3,6,4,7,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,2,1,3,5,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[7,3,8,5,4,1,2,6] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[1,3,7,2,5,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,7,2,3,5,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,1,2,3,5,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[7,1,2,3,5,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,6,1,4,7,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[2,6,3,7,1,4,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[2,6,3,8,1,4,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[3,5,2,6,7,1,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,2,8,4,7,5,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,8,1,6,5,2,7,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[6,1,2,8,3,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[6,8,3,1,7,2,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[3,7,2,5,6,1,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[6,8,4,2,5,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[8,3,1,4,7,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,3,2,1,5,7,4,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[1,2,8,3,5,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,8,3,2,5,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,5,1,7,4,2,8,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[7,3,6,4,8,2,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[6,1,7,3,4,2,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[7,3,8,1,6,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[8,3,7,1,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[5,1,7,4,2,8,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,4,2,8,5,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[8,6,4,7,1,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[3,8,7,1,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[6,4,7,8,1,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[5,8,7,6,1,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[6,7,4,8,1,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[8,3,2,4,7,1,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[2,5,3,7,1,6,4,8] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[8,4,6,7,1,5,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[7,4,6,8,1,5,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[3,7,5,8,1,6,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[4,7,6,8,1,5,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[8,5,6,7,1,4,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[5,6,8,7,1,4,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[2,4,6,7,1,5,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[6,7,8,5,1,4,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[7,8,6,5,1,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[3,1,7,5,4,2,8,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[4,1,8,5,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[5,4,1,3,6,7,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[8,4,1,2,6,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[8,2,7,1,5,3,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[7,3,8,1,5,4,2,6] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,1,5,3,8,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[4,5,1,3,6,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[6,8,3,1,5,4,2,7] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[7,6,3,1,5,4,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[3,6,2,1,5,8,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[8,6,2,1,5,3,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,3,8,1,5,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[7,1,6,2,8,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[4,7,1,2,6,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[6,7,2,1,5,3,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[4,7,2,1,8,5,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[8,7,2,1,4,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,7,1,4,5,6,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[7,1,6,4,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[3,5,1,4,7,6,8,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,6,8,7,1,4,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[6,8,5,7,1,4,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[8,6,5,7,1,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[6,5,7,8,1,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,2,4,1,8,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[8,3,1,4,5,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[5,3,1,4,8,6,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[7,5,1,6,3,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[5,8,1,6,4,3,7,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[5,3,1,8,4,6,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[8,3,1,5,4,6,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,2,6,1,4,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[6,2,8,1,4,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[2,8,6,1,5,3,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[4,2,1,5,6,3,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[7,1,2,5,8,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[7,1,4,5,6,8,3,2] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[8,5,6,7,1,4,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[7,6,8,5,1,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[6,8,7,5,1,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[3,5,1,7,4,6,8,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[7,1,5,6,4,8,3,2] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[7,1,6,5,4,8,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[7,8,6,5,1,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[4,3,1,6,5,8,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[5,3,1,2,4,8,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,3,6,2,1,8,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,3,7,2,1,4,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,7,2,8,4,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[7,2,4,5,8,3,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,2,4,5,1,8,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[1,6,4,5,2,8,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[3,7,4,5,1,2,6,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,7,4,5,8,2,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[1,7,4,2,6,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[6,3,7,1,8,4,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[1,8,3,5,6,7,2,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[4,8,1,5,6,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[4,1,3,5,6,7,2,8] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[5,8,4,3,6,1,2,7] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[1,5,8,4,6,7,3,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[4,3,8,2,1,7,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[3,8,4,2,6,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[1,8,2,5,6,7,4,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[3,8,1,5,6,7,4,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,1,3,5,6,7,4,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[7,1,4,3,6,2,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[7,8,4,3,6,2,1,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[6,3,1,8,2,7,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[7,5,4,8,6,2,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[7,1,4,8,6,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,5,4,1,6,2,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,6,4,5,8,2,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[1,8,5,3,6,7,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,3,5,2,1,7,4,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[8,4,2,5,6,7,1,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[1,2,8,5,6,7,3,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[4,2,1,5,6,7,3,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[1,5,3,8,6,7,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[4,3,5,8,1,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[3,5,4,8,6,1,2,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[1,4,8,5,6,7,2,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[3,4,8,5,6,7,1,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[4,3,7,2,5,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[2,6,3,1,4,5,8,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[3,7,1,5,6,2,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[4,7,1,5,6,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[8,4,2,3,5,7,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[5,3,4,6,2,8,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[6,4,7,2,3,8,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,5,7,2,8,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,3,7,2,4,8,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[8,7,6,1,4,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,7,6,1,3,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,7,4,5,1,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,5,6,4,1,7,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[8,4,6,2,3,1,7,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[10,3,1,2,4,5,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3],[10]] => [10,3,1,2,4,5,6,7,8,9] => 110000000
[8,10,1,2,3,4,5,6,7,9] => [[1,2,3,4,5,6,7,9],[8,10]] => [8,10,1,2,3,4,5,6,7,9] => 010000000
[2,3,10,1,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[8,9,1,2,3,4,5,6,10,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 001000000
[7,3,5,4,1,8,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[4,2,1,6,3,7,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,2,1,6,3,7,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,2,1,8,3,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[7,3,4,2,6,8,1,5] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[3,6,7,5,2,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,6,7,5,2,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,7,6,8,4,2,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[3,7,8,6,2,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[4,2,1,3,5,8,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[4,2,1,8,3,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[2,6,1,5,4,7,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[4,6,3,5,8,7,1,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,7,5,2,1,3,6,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,5,6,2,4,1,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[2,5,6,1,4,8,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[6,7,8,4,1,5,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[7,1,6,8,4,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[7,1,5,6,4,2,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[5,7,8,1,4,6,3,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[1,8,4,6,7,5,3,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[6,1,8,4,7,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[5,6,7,1,4,2,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,8,5,2,1,6,7,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[5,1,8,4,2,6,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[1,8,4,6,2,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,3,1,4,6,2,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,1,8,2,5,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[3,5,1,8,2,6,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[3,5,1,2,8,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[8,2,4,3,6,7,1,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,2,8,5,7,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,6,2,8,5,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[6,2,1,8,4,7,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,8,7,1,4,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[7,2,5,3,6,8,1,4] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[7,3,1,5,6,2,4,8] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,7,5,1,6,2,4,8] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[8,7,2,4,1,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[1,8,7,2,3,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[1,2,7,3,6,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[7,1,5,8,3,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,3,8,7,2,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,8,3,7,2,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,1,4,7,3,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,7,8,1,3,2,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[7,1,4,2,3,5,6,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[8,2,1,4,7,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[1,2,3,4,8,5,7,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[2,4,8,7,5,6,3,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[2,5,3,8,4,7,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[2,8,5,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[3,1,8,5,2,7,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,3,7,6,1,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[3,1,7,8,2,5,6,4] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[7,3,8,5,1,6,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,5,1,2,3,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[6,7,3,1,4,8,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[5,4,7,1,2,8,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,7,4,1,2,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,5,1,2,3,7,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[6,5,1,2,3,4,8,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[2,4,6,3,5,7,1,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[1,8,3,4,2,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[8,7,2,3,1,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[3,8,2,4,6,1,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[7,8,2,4,3,1,6,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[4,5,8,2,3,1,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[5,1,4,3,7,2,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[6,1,3,5,7,2,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[7,1,3,6,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[2,1,8,3,7,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[7,1,8,2,5,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[6,1,5,8,2,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[4,5,2,8,1,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[6,2,5,8,1,4,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[8,2,7,1,4,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[1,3,8,2,5,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[2,8,7,1,6,4,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[3,8,7,1,5,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[3,4,8,5,6,1,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[8,3,7,4,1,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[1,4,8,6,2,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[3,5,6,8,4,1,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[8,5,1,3,2,4,7,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[7,5,1,3,2,6,4,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[2,6,1,4,5,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[4,5,6,1,3,2,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,5,7,1,2,6,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[3,7,4,1,2,6,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,8,1,2,5,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,2,6,7,5,3,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,7,5,3,2,8,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,6,7,5,3,8,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,6,5,7,2,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,2,5,7,6,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,3,4,8,2,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,5,7,6,2,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,5,3,8,2,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[1,4,8,3,2,5,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[1,4,8,3,5,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,2,4,8,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,3,8,4,2,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,4,8,2,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[6,5,7,3,8,2,4,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[4,2,6,7,5,8,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,4,8,7,5,2,1,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[1,7,5,2,8,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[5,6,8,3,1,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[6,1,4,8,3,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[3,4,7,1,8,6,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,4,6,8,2,1,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,5,2,8,6,4,1,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,2,5,7,3,8,6,1] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[7,4,2,5,3,8,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[3,1,2,8,5,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[5,2,1,6,8,3,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,2,6,8,4,1,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[4,5,1,6,8,3,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,5,7,3,8,2,6,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[6,4,3,7,8,2,5,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,4,3,1,7,8,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[4,5,3,1,7,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[7,1,3,5,4,8,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,5,2,8,1,4,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[5,7,3,8,4,6,1,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[4,6,3,7,8,5,2,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[5,3,6,7,8,4,2,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[1,5,3,6,7,8,4,2] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[6,3,7,1,8,4,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[3,2,5,6,7,8,1,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[6,7,1,3,2,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,2,7,1,3,4,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[6,4,2,7,1,8,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[4,2,6,3,7,8,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,2,6,3,7,8,5,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[6,7,3,8,2,4,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,7,3,2,1,4,8,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,1,8,3,4,2,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,2,4,1,8,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[7,2,4,8,6,1,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[7,3,4,8,6,2,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[3,5,7,2,1,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[6,7,8,3,2,5,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,3,7,8,2,5,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[2,6,7,4,8,5,3,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[4,6,2,7,1,8,5,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[1,7,4,8,5,2,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,3,7,8,5,2,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[6,3,7,1,8,2,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[2,5,6,1,7,8,4,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[5,6,1,2,7,8,4,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[1,6,7,4,8,5,3,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,8,5,3,4,7,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,8,2,5,4,6,7,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,4,7,5,2,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[4,2,3,8,6,7,1,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[5,2,4,8,1,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[6,2,5,4,8,3,7,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[5,2,3,4,8,1,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[3,5,2,4,7,1,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[5,3,4,8,1,6,2,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[4,5,3,7,1,6,2,8] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[7,6,3,8,5,1,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[4,2,6,7,3,8,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[1,4,3,7,8,6,2,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,5,3,6,8,2,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[4,3,6,5,7,8,1,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,2,3,5,6,8,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[4,2,6,7,3,8,5,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[8,6,4,7,5,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[8,6,2,7,4,5,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[6,8,2,7,4,5,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[6,8,7,2,4,5,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[2,6,4,5,8,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,6,4,8,7,5,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,2,4,6,7,5,3,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[4,2,3,6,8,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,4,8,7,2,5,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[6,4,8,7,5,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[8,2,6,4,7,5,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[4,6,8,2,7,5,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[4,6,5,8,2,7,3,1] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[2,1,8,6,4,7,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[6,8,7,4,2,5,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[9,2,4,6,8,1,3,5,7] => [[1,3,5,7],[2,4,6,8],[9]] => [9,2,4,6,8,1,3,5,7] => 10001000
[9,4,6,8,1,2,3,5,7] => [[1,2,3,5,7],[4,6,8],[9]] => [9,4,6,8,1,2,3,5,7] => 10010000
[9,6,8,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[3,5,7,9,1,2,4,6,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[5,7,9,1,2,3,4,6,8] => [[1,2,3,4,6,8],[5,7,9]] => [5,7,9,1,2,3,4,6,8] => 00100000
[7,9,1,2,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[10,9,8,7,6,5,2,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => 111111010
[10,9,4,8,3,7,2,6,1,5] => [[1,5],[2,6],[3,7],[4,8],[9],[10]] => [10,9,4,8,3,7,2,6,1,5] => 110101010
[10,9,8,7,2,4,6,1,3,5] => [[1,3,5],[2,4,6],[7],[8],[9],[10]] => [10,9,8,7,2,4,6,1,3,5] => 111100100
[6,10,5,9,2,4,8,1,3,7] => [[1,3,7],[2,4,8],[5,9],[6,10]] => [6,10,5,9,2,4,8,1,3,7] => 010100100
[10,9,2,4,6,8,1,3,5,7] => [[1,3,5,7],[2,4,6,8],[9],[10]] => [10,9,2,4,6,8,1,3,5,7] => 110001000
[10,3,5,7,9,1,2,4,6,8] => [[1,2,4,6,8],[3,5,7,9],[10]] => [10,3,5,7,9,1,2,4,6,8] => 100010000
[10,5,7,9,1,2,3,4,6,8] => [[1,2,3,4,6,8],[5,7,9],[10]] => [10,5,7,9,1,2,3,4,6,8] => 100100000
[10,7,9,1,2,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7,9],[10]] => [10,7,9,1,2,3,4,5,6,8] => 101000000
[4,2,5,6,3,8,1,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[6,2,5,7,4,8,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[8,5,2,1,4,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[6,7,3,2,5,8,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[3,2,6,4,8,1,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,3,6,4,7,8,5,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,5,1,8,3,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[5,7,8,2,6,3,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[6,3,1,7,8,4,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[5,3,6,7,4,1,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[7,3,1,2,5,8,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[1,6,3,5,2,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,4,8,2,7,5,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,8,4,7,2,5,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[2,4,8,1,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[3,4,8,1,6,2,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[7,6,5,4,1,2,8,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[5,7,6,8,3,4,2,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[2,8,1,6,5,7,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[5,2,3,7,6,1,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[5,2,6,8,4,3,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[7,2,4,8,5,3,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[3,7,5,1,8,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[2,7,8,5,4,6,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[5,7,4,3,8,6,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[8,3,1,7,4,2,5,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[3,1,8,2,4,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[8,1,3,7,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[2,3,6,8,7,1,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,3,2,8,5,7,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[3,6,4,2,8,5,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[4,7,3,2,5,1,8,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[3,2,4,7,5,8,6,1] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[4,2,3,8,6,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,4,3,5,1,8,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,2,8,1,4,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[4,7,8,3,1,2,6,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[4,1,6,8,2,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[3,6,2,8,4,7,1,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[5,2,4,1,3,8,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[4,2,5,3,8,1,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[3,2,5,4,8,7,1,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[5,1,4,2,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[5,4,1,3,2,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,4,3,1,2,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[4,3,6,8,2,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[2,4,6,8,3,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,4,5,2,8,7,1,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[5,3,2,1,4,8,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,3,2,5,8,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[3,2,4,5,8,7,1,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[5,2,1,3,4,8,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[5,1,2,3,4,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[8,6,2,5,4,1,3,7] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[6,5,7,4,2,8,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[6,7,5,3,8,2,4,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[8,3,5,6,2,4,1,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,6,2,1,3,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[6,2,3,7,8,4,5,1] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[7,5,8,2,6,3,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,3,1,6,5,8,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[1,5,6,7,3,4,8,2] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[8,4,7,6,2,1,3,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[5,3,8,4,7,2,6,1] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[8,1,3,7,6,4,2,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[3,5,8,2,7,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[8,2,6,4,7,1,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[3,4,2,8,5,1,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[8,3,7,4,2,5,6,1] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[4,8,5,7,2,1,3,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[3,4,1,8,2,6,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[6,8,3,4,1,5,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[5,1,7,6,2,8,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,8,2,5,7,4,1,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,8,5,6,7,1,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,5,7,6,3,1,8,4] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[4,2,8,3,1,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[4,2,7,1,8,5,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[8,3,6,7,1,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[1,3,7,5,8,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[2,7,4,5,8,3,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[3,5,7,1,4,8,6,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[7,2,8,5,1,4,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[1,6,5,3,8,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[5,7,4,8,3,6,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[1,8,3,2,4,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,6,4,8,2,5,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[4,3,7,2,5,8,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[3,2,4,7,8,5,6,1] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[2,6,4,3,8,5,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,8,2,1,6,4,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[4,6,8,3,2,1,5,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[3,2,6,8,5,4,1,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[7,3,8,2,5,4,1,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[4,2,5,3,8,7,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[4,8,2,6,5,3,1,7] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[2,6,8,5,4,1,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[3,1,8,6,5,4,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[5,4,8,7,3,2,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[6,4,8,3,7,2,5,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[4,7,3,6,2,1,8,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[5,4,3,7,1,8,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[7,3,8,5,1,4,2,6] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[5,4,8,7,6,2,1,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[1,5,4,8,3,7,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[8,7,5,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[6,8,2,1,7,4,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[3,1,2,7,5,6,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,6,1,2,7,5,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[3,7,6,2,5,8,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,6,2,5,8,7,4,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[6,3,2,4,8,7,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,7,2,4,6,1,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,3,7,2,8,1,4,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[6,3,2,8,7,5,1,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[7,3,8,2,6,5,1,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[6,4,8,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[2,5,4,8,1,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[5,2,8,1,7,6,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[6,2,1,3,8,7,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[3,6,1,8,7,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[5,6,1,2,8,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[7,5,2,8,1,6,4,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[7,8,5,1,6,2,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,2,1,8,3,6,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[8,5,4,3,7,2,1,6] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[6,5,4,8,3,2,7,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[7,3,1,4,8,2,5,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[5,7,2,4,6,8,1,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[6,4,7,1,3,8,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[4,5,1,2,7,6,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[5,4,6,8,3,1,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[1,3,8,4,5,7,2,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[2,6,7,4,5,3,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[1,3,7,4,2,8,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,5,8,6,2,1,3,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[2,8,1,3,6,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,8,7,3,5,4,1,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[6,8,3,2,7,1,5,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[3,7,1,2,4,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,7,2,3,5,6,8,4] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[3,4,6,2,8,5,7,1] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[4,2,1,7,5,8,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[4,7,1,6,5,2,8,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[3,2,4,8,6,7,1,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[4,2,6,8,7,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[3,4,6,1,8,5,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[4,3,7,1,6,8,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[2,8,7,4,5,3,1,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[2,8,7,4,3,5,1,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[3,8,1,4,2,6,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[5,8,7,6,1,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[5,8,7,6,2,1,3,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[3,8,2,4,5,6,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,8,2,4,1,6,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,8,2,5,4,6,7,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,2,7,5,6,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[4,2,6,7,5,3,1,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,2,6,1,4,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,8,1,2,4,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[5,8,7,6,2,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,8,7,5,3,4,1,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[5,8,7,6,4,1,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[7,4,6,2,3,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[5,1,7,2,4,6,8,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[4,5,7,1,2,6,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[5,4,1,7,3,6,8,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[3,6,4,7,5,2,8,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,4,7,6,2,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[5,7,6,3,1,4,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[8,7,5,3,4,1,6,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[6,7,1,3,8,4,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[3,6,5,2,7,8,1,4] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,2,8,6,7,1,4,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[1,8,6,5,4,2,3,7] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[1,8,7,2,3,5,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[1,8,7,2,5,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[3,6,8,5,1,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,7,5,1,8,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[7,1,2,8,3,5,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[6,1,7,8,2,5,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[7,1,4,5,8,6,2,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[5,7,6,4,2,8,1,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[7,5,6,1,2,8,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[4,1,3,7,8,6,2,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,1,4,3,6,8,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[4,5,7,6,8,2,1,3] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[5,7,6,8,4,2,1,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[7,4,8,2,3,6,5,1] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[5,6,8,4,7,3,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,4,7,8,5,2,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[3,6,4,8,5,1,2,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[3,7,4,8,1,2,5,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[7,4,3,8,2,6,5,1] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[7,6,8,3,2,5,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[8,7,1,3,5,4,6,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[4,8,5,2,1,3,6,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[7,8,2,3,4,6,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[8,1,7,2,4,5,3,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[8,1,3,5,4,2,6,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[8,1,5,3,4,2,6,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[8,1,5,6,2,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[6,3,2,1,5,4,7,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[7,3,1,4,5,2,6,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[7,3,1,5,4,2,6,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,3,1,6,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[3,7,1,6,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[3,7,1,4,5,2,6,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,6,2,1,5,4,7,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,5,2,4,1,6,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[6,2,4,1,5,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,6,4,1,5,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,6,5,1,3,7,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,2,5,1,3,7,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,7,1,2,8,3,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[5,6,2,1,3,7,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,2,6,1,3,7,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[2,4,6,1,5,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[5,7,1,6,2,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[5,6,3,1,2,7,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[4,2,5,3,1,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,3,6,1,2,7,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[6,8,5,2,3,4,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[8,5,6,2,7,1,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[7,6,2,4,5,3,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[8,6,7,5,3,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[8,5,2,7,1,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[3,4,8,6,7,1,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[4,8,5,6,7,2,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[5,8,6,4,1,2,7,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[5,8,6,1,7,2,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[5,8,7,3,2,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[5,8,1,7,2,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,1,5,7,2,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,1,7,2,5,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,8,7,2,5,1,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[5,8,7,2,1,6,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[4,8,1,5,2,6,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,7,8,5,1,6,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[7,1,2,8,5,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[8,7,2,1,5,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,6,7,1,5,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,1,7,8,5,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[8,7,5,2,1,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[7,1,3,5,8,6,2,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[4,5,3,6,8,2,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[8,5,1,6,3,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[5,1,8,6,3,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[4,6,8,1,5,3,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[3,6,4,8,7,1,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,5,8,1,3,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[5,6,8,3,1,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[6,1,8,3,5,2,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[7,6,8,3,5,2,1,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[8,7,1,3,5,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,7,8,3,5,1,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[3,4,8,1,2,6,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[7,8,2,3,5,6,1,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[8,6,5,1,4,3,7,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[2,6,5,4,1,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[3,4,6,5,1,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[2,6,5,3,4,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[4,6,1,5,2,3,8,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[6,2,3,5,1,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,6,7,5,1,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[8,6,1,2,5,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[6,2,5,1,8,3,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[7,6,5,2,8,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[2,1,4,8,7,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[7,4,6,8,5,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[8,1,3,5,7,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[3,2,8,7,5,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[4,8,5,1,6,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,8,5,1,6,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[7,8,6,1,3,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[5,6,7,2,8,1,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[3,5,1,8,6,7,4,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,3,5,4,6,7,1,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[5,1,3,8,6,7,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[3,2,5,8,6,7,4,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[6,2,1,5,3,8,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[5,6,3,2,8,1,4,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[8,7,6,2,5,3,1,4] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[7,6,2,8,5,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[8,1,3,7,5,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,4,8,7,5,1,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[6,3,8,1,4,2,5,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[6,3,8,5,7,4,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[2,1,4,8,7,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[7,1,5,8,2,6,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[3,6,8,2,4,1,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[4,5,8,2,6,7,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[5,2,8,1,6,7,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[5,8,3,4,6,7,2,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[2,4,8,1,6,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[5,1,8,2,6,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[3,4,8,7,2,1,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[7,8,5,3,6,4,2,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[2,8,5,7,4,1,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[3,8,1,4,6,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[6,2,7,3,8,4,1,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[5,3,2,8,4,6,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[8,4,2,6,5,3,1,7] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[7,4,2,5,3,1,6,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[5,4,8,3,2,6,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[3,5,8,2,4,6,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[6,4,7,8,2,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[5,8,3,6,4,2,1,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[4,8,6,2,5,3,1,7] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[1,6,4,3,2,8,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[1,5,3,2,8,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,7,4,3,1,2,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[2,8,7,3,5,1,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[6,1,2,7,3,8,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[2,1,7,4,3,8,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[6,1,4,3,8,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[5,1,3,2,8,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[1,8,4,2,7,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[1,8,3,7,2,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[5,1,4,8,3,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[2,1,6,8,5,4,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[8,3,1,6,7,2,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[4,7,6,1,2,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[3,7,6,1,5,2,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,5,4,8,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[7,3,6,1,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[5,4,7,1,3,2,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,7,4,8,2,1,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[1,2,6,3,8,5,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[6,4,7,5,8,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[7,4,8,5,1,6,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[5,8,3,6,1,7,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[8,6,4,2,1,7,5,3] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[1,6,4,8,7,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[6,3,1,2,8,4,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[7,5,1,3,2,8,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[4,7,1,2,5,8,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,8,4,1,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[7,5,8,1,2,6,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[5,8,2,1,7,3,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[1,3,8,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[5,4,1,8,7,3,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[3,5,1,8,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[4,6,1,8,3,7,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[4,7,1,2,8,6,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[7,6,8,1,5,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[8,6,1,7,5,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[4,1,8,7,6,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[3,1,8,7,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[1,7,4,5,2,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,7,3,5,2,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,6,3,5,2,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,6,3,4,2,5,7,8] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,7,3,4,2,5,6,8] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,8,6,7,3,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,8,5,7,3,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,7,3,4,2,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,5,2,8,4,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,7,3,5,2,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,8,4,7,3,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,7,3,6,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,7,3,6,2,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,7,4,6,2,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,8,5,6,2,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,3,2,8,5,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,4,2,8,5,6,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,5,2,8,4,6,3,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,6,2,8,4,5,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[8,1,2,4,5,3,6,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[8,6,4,7,2,1,3,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[1,6,4,7,2,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,4,7,3,5,8,2,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[8,4,6,2,3,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,8,6,2,4,5,1,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[4,8,6,2,3,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[1,7,5,3,4,8,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[5,8,7,4,1,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[6,8,5,3,4,1,2,7] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[6,8,3,7,2,1,4,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[8,5,1,6,3,7,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[6,1,3,7,4,8,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[4,1,7,3,5,8,2,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,8,5,7,2,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[6,1,5,8,2,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[5,1,7,3,8,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[6,1,5,7,8,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[7,4,8,6,1,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[3,8,7,5,1,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,7,6,1,2,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[4,7,6,1,2,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,6,5,8,2,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[6,5,8,4,1,2,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,5,7,4,1,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,6,2,3,8,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[7,4,8,5,1,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[1,7,2,8,6,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[7,5,8,1,3,6,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,4,1,8,2,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,4,8,7,2,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,5,8,7,2,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[6,5,1,8,2,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[5,7,1,3,8,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[7,6,8,1,5,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,1,5,8,6,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[6,1,8,2,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[4,1,8,7,2,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[5,1,8,7,2,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,8,7,6,4,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[1,8,7,3,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[7,1,5,8,3,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,1,4,3,2,5,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[6,4,2,3,8,5,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[6,4,2,7,5,8,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[2,4,1,7,5,8,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[7,1,4,6,5,2,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[7,1,4,6,5,8,2,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[7,1,4,6,3,8,2,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[7,1,4,3,2,5,8,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,1,4,6,5,2,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[7,1,4,6,5,3,8,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[7,1,4,6,5,3,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[6,4,2,7,5,3,8,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[3,4,7,2,6,8,5,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[3,4,7,1,6,8,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,4,1,7,8,6,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[6,4,2,3,8,5,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[6,4,2,7,5,8,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,4,2,7,5,3,1,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[3,4,7,2,6,8,1,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,4,7,3,6,8,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,4,7,2,6,5,1,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[4,8,3,2,5,6,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,8,7,1,3,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[3,4,7,1,6,2,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,4,7,1,6,2,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,4,7,2,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[5,8,1,6,3,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[6,8,5,1,3,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[5,8,3,4,2,6,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[5,4,7,3,6,2,8,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,4,7,2,6,1,8,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[6,4,3,7,5,1,2,8] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,4,3,7,5,1,8,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,2,4,3,1,5,8,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,8,7,4,1,5,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[5,8,3,2,1,6,4,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,4,7,3,6,2,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[4,3,7,8,5,1,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[5,3,7,8,4,1,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,2,3,8,4,1,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[8,6,5,3,7,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[7,5,4,3,8,2,6,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 1111010
[7,5,6,3,8,2,4,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[8,5,7,3,4,2,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[6,5,8,3,4,2,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[7,5,8,3,4,2,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,5,8,4,6,2,3,1] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[7,4,8,3,6,2,5,1] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[5,4,8,3,7,2,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[6,5,8,4,7,2,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[5,4,6,3,8,2,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,3,6,2,4,7,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,7,2,4,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,2,1,5,8,6,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,2,1,5,8,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,3,1,5,7,8,6,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,3,1,7,5,8,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[6,7,3,1,4,8,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[5,3,7,1,4,8,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[4,3,1,5,7,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[3,2,1,8,5,7,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[3,2,1,8,7,5,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[5,2,7,1,8,4,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[3,2,1,8,6,5,4,7] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[4,3,1,6,7,8,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,2,6,1,8,4,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[5,2,6,1,8,7,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[5,2,6,1,8,7,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[5,2,6,1,8,3,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,7,3,1,5,8,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[3,2,1,8,7,6,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,2,1,8,6,4,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[3,2,1,8,6,4,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,1,8,4,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,1,8,4,6,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,2,1,8,4,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,2,1,8,7,4,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[5,2,7,1,8,3,6,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[3,2,1,8,4,5,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[7,5,2,8,6,3,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,4,8,6,2,5,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[7,3,8,6,2,4,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,3,8,5,2,4,6,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,3,8,4,5,6,2,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[6,3,8,2,4,5,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,3,7,8,2,4,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[5,6,7,3,8,2,4,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,4,7,2,6,8,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,3,8,2,4,6,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[6,4,8,2,7,5,1,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[5,6,3,7,8,2,4,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[6,3,7,2,5,8,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[5,3,6,8,2,4,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,3,6,7,8,2,4,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[3,6,4,2,1,5,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[3,5,8,6,4,2,1,7] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[5,8,6,3,4,2,1,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[5,6,3,4,2,1,8,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[6,3,4,2,1,5,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,6,4,2,1,3,8,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[2,5,4,1,7,8,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[2,7,8,5,4,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[2,6,3,8,5,4,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[2,8,6,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[5,8,6,4,2,1,3,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[2,7,8,6,3,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[4,2,1,8,5,6,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[8,4,2,1,5,6,3,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[2,5,6,3,8,4,1,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,3,4,2,1,8,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[3,7,8,5,6,4,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[3,8,5,6,4,2,1,7] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[3,6,4,2,1,8,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[3,7,8,6,4,2,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,5,3,7,6,2,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[7,6,2,3,8,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[2,1,7,8,6,4,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[6,4,2,1,3,7,8,5] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,3,7,8,4,2,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,8,4,2,1,6,3,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[5,7,6,2,3,8,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[2,6,1,7,5,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[8,4,2,3,7,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,5,7,6,2,1,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[7,5,6,1,8,4,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[2,7,5,8,4,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[2,8,4,3,6,1,7,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,4,7,8,3,2,1,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,6,5,8,4,3,2,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[7,6,5,4,3,2,8,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[6,4,3,7,5,2,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,3,7,2,5,4,1,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,3,2,7,5,4,1,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[8,4,2,6,3,1,7,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[1,5,3,7,4,2,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,6,7,3,4,2,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[7,8,5,2,1,4,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[5,8,6,2,3,1,7,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[4,8,2,6,3,1,7,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[3,2,8,6,4,1,7,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[4,1,3,7,5,2,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[5,1,7,3,4,2,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[7,1,6,3,2,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,2,7,4,3,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[6,1,8,2,4,5,7,3] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,1,8,3,2,6,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[3,2,8,7,1,5,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[5,8,7,2,1,4,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[6,8,7,1,3,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,7,8,2,4,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[8,6,7,1,3,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,6,8,3,2,5,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[1,5,3,8,2,6,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[6,4,2,8,3,1,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[5,4,2,3,8,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[4,5,2,3,1,6,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[7,4,2,1,3,6,8,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[8,4,2,1,3,6,7,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[1,5,3,2,4,7,8,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[8,5,1,3,2,6,7,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[5,7,1,3,2,6,8,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[6,7,1,2,4,5,8,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[8,6,1,2,4,5,7,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[1,8,2,3,5,6,7,4] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[8,7,1,2,4,5,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[7,8,1,2,4,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[5,8,1,3,2,6,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[4,8,2,1,3,6,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[5,1,2,4,3,7,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[5,4,8,1,2,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,4,7,6,3,2,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[4,8,3,2,7,6,1,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[4,3,8,2,7,1,6,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[4,3,2,8,1,7,6,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[4,1,8,7,3,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,7,8,1,2,5,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[2,6,3,4,7,8,1,5] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[3,1,7,8,4,2,5,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[3,7,8,2,6,4,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[3,7,2,4,8,6,1,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[1,3,6,4,7,2,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[4,7,1,5,8,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[1,2,6,4,7,5,8,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[3,1,7,5,4,2,6,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[6,3,8,5,4,7,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[1,6,2,5,4,7,8,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[1,8,2,5,6,3,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,2,6,4,8,5,7,3] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[7,8,3,1,4,2,5,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[4,8,1,5,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[7,4,1,5,2,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[5,6,1,8,4,3,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[5,1,8,6,4,3,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[5,1,6,3,8,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[6,1,2,5,8,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[6,1,8,7,4,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[7,1,2,5,4,8,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[1,2,7,5,8,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,3,6,7,8,5,2,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,2,6,4,7,8,5,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[4,1,6,3,8,7,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[6,5,1,7,4,3,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[4,1,6,8,3,7,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[5,4,6,1,3,8,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[6,5,8,1,4,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,3,5,7,4,6,8,2] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,5,4,7,2,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,5,4,7,8,2,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,5,4,7,2,8,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,5,7,4,8,2,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,5,7,4,8,6,2] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,3,5,7,8,4,2,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,6,3,2,7,4,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[3,5,1,6,2,8,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[1,3,7,2,5,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,3,7,5,2,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[3,2,6,7,8,1,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,5,2,7,8,4,1,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[1,5,7,4,8,3,2,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[3,5,2,6,8,4,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,6,3,7,2,8,5,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[1,4,7,3,8,6,2,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,3,7,8,2,4,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[8,5,3,7,2,4,1,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[8,2,4,7,3,1,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[6,3,1,5,8,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[6,5,3,4,2,8,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[3,2,4,8,1,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,2,4,6,8,1,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[8,1,5,7,3,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,4,6,7,2,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[4,6,7,8,2,3,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[7,2,4,8,3,1,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[5,3,8,7,2,4,1,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[2,4,8,7,3,1,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,6,8,7,2,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[8,7,4,6,2,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[5,6,8,7,2,3,1,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[6,4,8,7,2,3,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[3,2,8,4,1,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[5,7,6,8,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[8,6,4,7,2,3,1,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,2,3,7,4,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[3,7,4,8,2,5,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[6,3,1,7,4,2,8,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[8,5,7,6,2,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,5,8,6,2,3,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[4,8,7,6,2,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,3,6,1,5,8,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,3,6,5,1,8,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,6,3,5,1,8,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,6,3,1,5,8,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,1,6,5,3,8,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[4,6,1,5,3,8,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[2,6,5,1,8,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[2,6,5,8,1,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[2,6,5,8,1,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[4,6,1,5,8,3,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[4,1,6,5,8,3,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[1,4,6,5,8,3,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[4,1,6,5,8,7,3,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[6,4,3,8,7,1,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[6,4,8,3,7,1,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[4,6,8,1,5,7,3,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[4,6,1,8,5,7,3,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[4,1,6,8,5,7,3,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[1,4,6,8,5,7,3,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,4,6,8,5,3,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[4,6,1,8,5,3,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[2,6,8,5,1,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[4,6,8,3,5,1,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,6,8,3,1,5,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,6,3,1,8,5,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,6,3,8,1,5,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,6,3,8,5,7,1,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,3,6,8,1,5,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,3,6,1,8,5,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[4,3,1,6,8,5,7,2] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[6,2,5,8,7,1,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,2,8,5,7,1,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[2,4,8,7,1,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[6,1,4,8,7,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[1,6,4,8,7,3,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[6,4,1,8,7,3,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[2,4,8,7,3,5,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,3,4,7,8,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,6,1,3,7,8,5,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[2,3,4,5,6,7,10,1,8,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[1,5,3,2,6,4,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[1,5,3,2,6,7,4,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[1,7,3,2,8,5,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[1,3,2,7,5,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[6,5,2,4,3,7,1,8] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[6,4,2,5,3,7,1,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,4,7,6,2,3,1,8] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[3,6,4,8,2,1,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[1,6,2,8,5,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[4,6,2,3,7,5,1,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,7,2,3,6,5,1,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[5,3,2,7,4,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,2,6,4,7,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[4,6,2,3,5,7,1,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[3,5,2,1,6,8,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,6,8,4,2,1,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[4,3,2,6,1,8,5,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[1,5,8,2,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,7,2,3,4,8,6,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,8,2,3,4,1,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[4,1,8,2,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[7,3,2,1,4,5,8,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,8,1,4,3,5,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,1,2,3,4,6,8,5] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[6,1,2,3,4,8,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,8,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,1,2,3,4,6,7,5] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[2,8,1,3,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[8,3,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,8,2,1,6,5,4,7] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[1,7,8,3,5,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,4,1,8,3,5,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[8,4,1,7,3,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[3,8,4,6,2,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,4,2,5,3,1,6,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,5,2,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[8,3,2,5,4,1,6,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,3,2,5,1,8,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,5,2,4,1,8,6,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[2,4,7,8,1,5,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[1,8,7,3,5,4,2,6] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[5,1,8,2,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[6,1,2,8,5,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[6,3,2,1,8,4,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[7,3,2,8,4,5,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[2,7,8,4,3,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,1,8,3,5,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[6,7,1,3,4,8,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,8,1,3,4,7,2,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[1,7,2,3,4,6,8,5] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,6,2,3,4,8,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[7,6,2,3,4,1,8,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[8,1,7,3,5,4,2,6] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[8,3,2,7,4,5,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[6,7,2,3,4,1,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[7,6,2,3,4,8,1,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,3,4,8,7,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[5,8,4,2,1,6,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,8,4,1,2,6,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[5,3,7,2,6,1,8,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,2,8,1,6,3,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[5,8,2,1,4,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[4,8,1,5,2,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[5,8,1,2,4,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[3,8,7,6,2,4,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[2,8,7,6,4,1,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[7,8,2,6,5,1,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[1,8,7,6,4,2,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[2,8,7,6,3,1,4,5] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[1,8,7,6,2,4,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[1,8,7,6,3,4,2,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[2,8,1,4,5,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[3,1,7,2,6,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[3,2,7,1,6,5,8,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,1,2,8,5,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[6,2,1,8,5,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,3,1,8,5,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[6,4,2,1,7,5,8,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,1,3,8,5,2,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[1,3,7,2,6,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[7,8,2,6,5,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[3,2,6,7,5,8,1,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[1,2,7,5,6,3,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[2,8,7,6,4,3,1,5] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[3,8,7,6,1,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[3,8,7,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[4,8,7,6,2,1,3,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,8,7,6,1,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[3,8,7,6,4,1,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[7,8,3,6,5,1,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[3,8,7,6,4,2,1,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[4,3,7,2,6,5,1,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[2,4,1,5,8,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[4,6,1,2,5,8,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[7,8,6,5,1,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[1,3,6,5,7,8,2,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[7,4,8,5,3,1,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[6,8,5,2,4,1,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,3,1,6,8,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[7,1,4,2,3,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[8,3,1,2,4,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[2,3,8,1,6,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,1,4,7,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[3,5,2,4,1,7,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,4,7,8,6,2,1,5] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[3,4,8,6,2,7,1,5] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[5,8,2,1,6,7,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[5,7,2,8,6,4,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,1,2,7,5,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[7,3,2,8,6,4,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[2,7,8,4,6,3,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[1,4,5,7,2,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[7,3,5,2,6,1,8,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[2,8,6,4,3,7,1,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,3,2,6,4,7,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[2,3,8,7,6,5,1,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[1,2,8,7,3,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[4,2,8,7,3,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,5,8,7,1,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[2,6,8,1,7,5,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[3,6,8,4,7,2,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[2,5,8,3,7,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[3,2,8,4,7,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,5,8,4,7,2,1,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[5,6,8,2,3,7,1,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[1,6,8,4,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[1,5,8,2,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[2,1,8,4,3,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,5,8,4,3,7,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,6,8,1,3,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[1,6,8,4,3,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[5,6,8,4,3,2,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[7,1,2,8,6,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,3,1,8,6,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,2,4,8,3,6,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[1,6,4,8,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[3,6,4,8,7,2,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,2,5,8,7,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,2,4,8,7,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,1,5,8,7,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[3,1,4,8,7,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[1,6,4,8,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[1,4,5,8,2,7,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[2,4,5,8,3,7,1,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,6,5,8,1,2,7,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[1,6,4,8,3,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[1,4,5,8,3,2,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[7,6,1,3,8,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,6,3,4,8,2,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[7,2,5,1,8,6,4,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,2,5,3,8,6,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,2,1,3,8,6,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,3,5,4,8,2,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[2,6,5,1,8,7,4,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,3,5,4,8,7,1,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[1,6,3,4,8,2,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[1,3,5,4,8,2,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[3,6,5,4,8,2,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[7,6,5,2,3,8,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[7,6,1,2,3,8,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,1,5,4,2,8,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,1,5,2,3,8,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,1,2,4,3,8,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[2,6,5,4,3,8,1,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[7,6,1,4,3,2,8,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[4,7,1,2,8,5,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[4,8,1,2,7,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[6,7,3,2,8,1,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,3,4,2,6,1,8,5] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[6,4,8,2,1,5,3,7] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[8,2,7,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[7,2,8,6,5,4,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[8,1,9,7,6,5,4,3,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[2,10,9,8,7,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => 111111010
[9,2,8,7,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => 11111010
[3,9,8,7,6,5,4,1,2] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 11111010
[8,7,2,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[3,2,8,7,6,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[7,8,6,1,5,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[8,9,1,7,6,5,4,3,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[4,8,5,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[8,5,6,1,3,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[7,8,1,5,3,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[8,1,7,5,3,2,4,6] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[8,6,1,4,5,2,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,4,6,1,5,2,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,6,2,1,5,4,3,7] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[8,5,2,6,1,4,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[8,5,2,1,7,4,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[7,8,2,1,5,4,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,8,3,1,5,2,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[8,2,7,5,1,3,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,4,1,7,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,2,6,1,7,4,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[8,1,7,4,3,2,6,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[5,8,1,6,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,7,6,1,8,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[7,5,1,6,8,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,5,7,1,8,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,7,3,8,1,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[7,5,4,1,8,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,5,8,1,3,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,8,4,1,3,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[8,3,7,4,1,2,5,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[8,5,1,7,3,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[6,8,1,7,3,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,3,1,7,4,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[5,6,8,1,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[6,5,8,1,2,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[7,3,1,8,5,6,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[8,4,1,7,3,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[8,3,4,7,1,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,2,7,4,1,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[7,4,8,2,1,3,6,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[8,2,3,6,7,1,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[7,8,5,2,3,6,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,8,5,2,3,4,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[3,5,2,6,8,1,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,2,4,6,8,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[2,4,5,3,6,8,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[5,2,4,6,8,1,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[4,3,5,2,6,8,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,3,5,7,2,8,1,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,3,5,7,2,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,6,3,7,2,5,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,3,5,1,7,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[5,7,1,3,4,8,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,7,1,3,4,6,8,2] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[4,5,7,1,3,6,8,2] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,3,6,7,1,5,8,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,6,3,5,1,7,8,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[4,6,3,5,7,2,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,5,6,4,1,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[3,1,5,6,7,4,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[5,1,6,7,3,4,8,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[6,4,7,1,3,5,8,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,6,7,3,4,5,8,2] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[5,3,6,1,2,7,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[3,5,2,6,1,7,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,2,6,7,4,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[5,2,6,1,3,7,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[4,2,6,7,3,5,8,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[6,3,7,2,4,5,8,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,5,7,2,8,1,4,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,7,2,4,8,1,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[7,2,4,6,8,1,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[7,1,3,4,6,8,2,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[3,7,2,4,6,8,1,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,5,7,2,6,8,1,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[6,3,7,2,5,8,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,3,5,7,2,8,1,4] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,3,5,7,2,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,2,4,5,7,3,8,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[6,2,4,5,1,7,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[4,7,1,2,5,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[2,6,7,5,8,1,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[5,6,4,1,2,7,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[6,3,5,1,7,8,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[6,5,7,2,8,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[6,5,7,1,3,4,8,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[5,6,4,7,1,3,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,4,6,3,1,7,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[7,5,3,2,4,8,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[8,4,5,2,6,1,3,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,5,4,2,1,6,3,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,5,3,4,1,6,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[7,5,4,2,1,8,3,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,5,4,2,1,6,8,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[5,6,3,7,4,1,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,6,7,3,1,4,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[6,7,3,4,1,5,8,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[6,7,4,2,1,5,8,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,6,7,3,1,8,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,3,7,8,1,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,3,7,2,4,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,6,7,2,3,8,1,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[7,4,5,2,8,1,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,7,3,2,4,8,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,6,3,2,4,1,8,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[6,7,3,2,5,1,8,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,5,3,2,7,8,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,5,3,2,7,4,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,4,5,2,7,3,8,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[6,4,5,2,7,8,1,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[7,4,5,2,6,1,8,3] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[7,4,5,6,1,2,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[7,5,6,2,1,3,8,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[6,7,3,5,1,2,8,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[5,6,7,4,1,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[6,5,7,2,1,8,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,4,6,7,3,1,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[3,7,8,5,6,1,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[1,7,8,5,6,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[1,7,5,8,6,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[3,7,5,8,6,1,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[5,7,3,8,6,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[1,5,7,8,6,3,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[1,5,7,8,3,6,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[5,3,7,8,1,6,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,8,1,5,6,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,1,8,5,6,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,1,5,8,6,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,1,7,8,3,6,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[3,1,7,8,5,6,4,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[1,3,7,8,5,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[3,1,7,5,8,6,4,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[5,1,7,3,8,6,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,1,5,3,8,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,1,5,8,3,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,3,7,1,8,6,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[3,5,7,1,8,6,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[1,7,5,3,8,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,7,3,1,8,6,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,7,3,8,6,1,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[1,7,5,8,3,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[1,7,8,5,3,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,7,8,6,3,1,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,7,8,1,6,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[3,7,8,1,5,6,4,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[1,7,8,3,5,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,7,3,8,5,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[3,7,1,8,5,6,4,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[5,7,1,8,3,6,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,7,1,8,6,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,5,1,8,6,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,8,1,6,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,8,5,1,6,3,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,8,1,3,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,1,8,3,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,5,1,3,8,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,7,1,3,8,6,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[3,7,1,5,8,6,4,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[1,7,3,5,8,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,5,3,7,8,6,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[3,5,1,7,8,6,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[5,3,1,7,8,6,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,3,1,5,8,6,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,3,1,8,5,6,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,8,3,1,5,6,4,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[7,1,8,3,5,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,1,3,8,5,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,1,3,5,8,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[3,1,5,7,8,6,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[5,7,3,4,8,6,1,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,7,3,4,8,1,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,7,3,4,1,8,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,7,3,1,4,6,2,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,7,3,1,4,8,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,3,7,4,1,2,6,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,3,7,1,4,2,6,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,3,7,1,4,2,8,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[3,7,5,1,2,8,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[7,3,5,8,1,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[3,7,5,1,2,6,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[6,1,4,3,5,2,8,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[7,5,6,2,8,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[4,7,2,5,8,3,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,2,4,5,1,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[5,1,4,6,3,2,8,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[3,5,6,2,4,1,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,8,6,7,5,4,1,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[6,2,7,8,3,4,1,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[2,5,3,4,8,1,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[8,7,1,2,5,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[5,1,8,2,3,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[5,4,7,6,2,8,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[3,7,8,1,5,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[8,3,6,5,7,1,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[2,1,8,4,6,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[3,8,1,5,6,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[6,7,2,4,8,5,3,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[2,8,3,6,7,5,1,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,1,7,6,3,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[3,2,4,5,8,1,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[4,7,3,2,1,8,6,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[6,4,7,5,2,3,8,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,4,8,1,7,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[4,8,7,2,3,1,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,2,3,1,8,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[7,6,8,1,3,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[6,7,5,2,3,1,8,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[6,4,2,1,8,5,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[8,7,2,6,4,1,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[6,7,8,2,5,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[2,1,5,7,8,4,6,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,5,7,8,3,6,1,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[7,4,8,1,2,5,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[6,1,7,4,3,2,8,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,8,3,4,2,1,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[4,2,6,1,5,7,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[2,4,6,7,3,5,8,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[6,5,8,3,7,4,1,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[7,1,4,8,3,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,8,7,5,3,4,1,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[3,4,8,2,5,7,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[2,5,7,4,8,6,1,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[2,6,4,8,7,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[6,3,7,2,8,5,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[3,6,2,5,8,7,1,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[5,2,8,4,7,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[6,2,4,8,7,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,4,5,8,7,6,1,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[6,1,3,8,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[3,1,5,6,2,8,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[4,1,5,2,8,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[4,1,5,3,2,8,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[3,4,5,1,8,7,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[1,4,5,2,8,7,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,6,4,2,8,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[4,6,2,7,5,1,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[1,5,3,6,2,8,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[3,6,2,5,1,4,8,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[2,4,8,7,1,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[1,3,8,2,4,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[6,3,1,7,2,8,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[7,5,1,2,8,6,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[1,5,2,3,8,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[4,5,1,2,8,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[6,4,1,2,8,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[5,2,8,1,3,7,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[1,6,3,7,5,8,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,3,7,4,5,8,6,2] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[8,3,7,4,6,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[3,8,7,6,4,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[1,6,5,2,8,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[8,6,5,2,1,4,3,7] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[6,8,5,3,2,1,4,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[6,1,3,7,5,8,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[4,1,7,3,6,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[8,1,6,4,3,7,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[2,1,7,4,8,6,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[1,8,2,7,3,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[8,1,2,7,4,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[6,2,8,7,1,4,3,5] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,4,8,3,1,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[4,7,3,8,2,1,5,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[5,2,7,3,1,4,6,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[8,3,7,2,1,5,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[1,4,2,5,8,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[6,5,3,8,2,1,4,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[2,6,4,5,7,1,3,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[7,6,2,1,8,5,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[6,5,1,2,8,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[8,6,1,4,3,7,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[6,8,4,1,3,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[8,3,1,7,5,4,6,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[1,3,8,7,4,6,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[1,2,8,7,6,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[8,2,1,7,6,4,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,4,1,8,5,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[5,8,2,1,7,6,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,7,1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1111110
[8,1,2,3,4,5,9,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[8,1,2,3,4,9,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[8,1,2,9,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[8,1,9,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[9,1,2,3,4,5,6,10,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[2,1,8,9,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[5,8,2,7,1,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[2,1,6,4,5,8,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[8,6,3,7,5,2,1,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[4,6,3,8,5,2,1,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,6,3,7,5,2,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,5,7,8,2,6,1,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[5,2,3,4,8,7,1,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[5,2,3,4,6,8,1,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[8,7,3,6,5,1,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[4,2,7,5,8,6,3,1] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[5,2,7,8,4,6,3,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,2,8,3,7,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,2,7,3,1,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[6,2,3,4,8,5,1,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[6,2,3,4,1,8,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[7,2,3,4,1,5,8,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[1,2,3,4,8,7,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,2,8,5,3,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,8,4,2,3,5,6,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[8,7,1,5,4,6,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[6,4,8,5,1,7,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,7,5,1,4,6,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[1,6,4,8,5,2,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[8,7,1,4,2,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,7,5,1,2,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[7,1,8,5,6,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[3,8,7,1,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,5,8,7,1,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[2,3,8,5,7,1,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[3,8,7,1,5,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[3,5,8,7,1,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[2,3,8,6,7,5,1,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,2,8,6,7,5,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[4,1,8,6,2,7,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[8,7,4,1,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[5,7,1,8,2,6,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[2,8,7,1,5,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,7,1,5,2,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[1,3,8,5,7,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,8,3,7,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,8,7,1,3,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[5,7,1,8,2,3,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[7,1,8,2,3,5,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,6,3,7,4,1,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[8,3,4,7,5,1,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[8,3,7,4,5,1,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[8,7,5,1,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,7,2,4,1,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[4,8,6,1,7,2,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[4,7,1,8,2,6,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[8,7,4,1,2,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,2,7,1,6,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,2,7,1,3,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,8,3,6,7,1,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,7,2,1,3,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[1,8,7,2,3,6,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,8,7,2,6,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,2,7,3,6,1,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[1,8,7,3,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,8,2,7,6,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,2,7,4,1,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,2,1,7,5,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,7,3,1,5,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[2,8,7,3,5,6,1,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,3,1,6,7,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[8,5,2,1,6,7,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[1,2,8,6,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,2,3,6,7,5,1,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,3,7,2,5,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[8,1,3,7,5,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,4,1,2,7,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,1,4,2,6,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,2,8,6,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,1,2,7,3,6,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,1,7,3,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,1,7,2,6,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,1,7,2,3,6,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,1,3,7,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,7,8,2,3,6,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,3,7,1,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,7,1,2,3,6,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,3,5,7,4,2,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[8,3,6,2,4,5,7,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,4,2,7,6,1,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,8,1,7,6,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[3,7,1,8,6,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[3,1,6,8,7,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[6,3,8,7,5,2,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[7,8,5,2,1,4,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[4,7,8,1,3,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[5,7,1,3,4,6,2,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[8,4,6,2,1,3,7,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[5,4,8,7,3,1,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,8,3,7,2,5,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[5,4,6,8,2,3,7,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[5,7,4,2,8,3,6,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[6,4,7,2,1,8,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,8,5,4,1,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[9,8,7,6,5,2,3,1,4] => [[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => 11111100
[9,6,7,5,4,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => 11111100
[6,4,2,8,1,5,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[6,3,7,8,2,5,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[7,3,5,6,4,2,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[4,8,6,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[6,3,8,7,2,4,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[5,3,8,7,2,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[5,3,7,8,6,2,4,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,5,2,4,3,7,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[5,4,6,2,8,7,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,7,3,8,6,2,4,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,4,6,8,2,7,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[1,7,4,8,6,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[3,6,2,5,7,8,1,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[5,2,7,4,6,8,1,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[5,3,6,7,1,8,4,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[4,2,5,6,7,1,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[8,1,4,2,7,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,7,5,2,8,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[3,6,4,8,1,5,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[1,5,8,4,2,6,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[3,5,7,4,1,6,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,5,7,1,2,6,4,8] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[4,7,1,8,2,6,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[7,5,1,2,3,8,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[5,2,6,1,3,4,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[7,8,2,4,3,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,8,2,4,1,5,3,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[6,7,2,4,3,5,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[2,5,1,6,4,7,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[4,5,1,3,2,7,6,8] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,5,2,3,1,7,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[3,4,2,6,1,7,5,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,6,2,7,5,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,5,2,7,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[1,5,7,2,8,3,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[2,1,5,6,8,4,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[1,3,7,2,8,5,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[4,6,2,7,1,8,3,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[1,5,4,3,6,8,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[2,1,5,6,8,4,7,3] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,1,5,6,8,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[3,6,5,2,7,8,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,2,4,7,5,8,3,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[4,2,5,7,3,1,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,6,3,2,1,7,5,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[4,3,5,7,6,1,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,3,2,6,1,7,5,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[5,3,2,1,6,4,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,1,6,2,7,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,1,6,3,2,7,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,3,6,4,2,1,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,2,6,4,1,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,2,1,6,3,7,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,2,6,3,1,7,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[4,2,6,3,1,7,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,5,7,2,8,6,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[2,4,7,1,3,6,5,8] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,6,1,3,7,5,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[5,1,6,2,7,4,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,4,1,6,2,7,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,1,6,4,2,7,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[2,6,1,5,4,3,7,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,1,6,2,5,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[5,1,6,4,3,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,4,1,6,3,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,4,3,1,6,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[7,3,2,1,5,4,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[7,4,2,1,5,6,3,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[7,2,8,6,5,1,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[4,3,7,2,5,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[6,7,1,4,3,2,5,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[3,4,2,6,7,1,5,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,7,1,6,5,2,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[3,5,6,2,4,7,1,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,8,7,2,4,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[1,7,8,2,5,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[2,5,6,4,7,1,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[4,7,1,6,3,5,2,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[4,5,3,8,7,2,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[1,4,8,2,7,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,7,3,5,1,8,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[8,7,3,6,1,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[2,5,8,7,4,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[5,4,2,1,7,8,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[4,7,8,3,5,2,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[8,3,6,2,1,7,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[8,3,7,6,4,2,1,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[2,3,1,8,4,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,6,5,1,4,7,3,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[6,3,7,2,8,5,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[1,6,3,8,2,7,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[1,7,5,3,8,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[8,6,3,2,7,5,1,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[2,7,5,1,3,8,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[1,7,6,4,3,8,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[3,7,2,4,8,6,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[3,4,2,8,7,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[5,1,4,3,2,7,8,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[3,7,6,2,4,1,8,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[1,6,8,2,5,7,4,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,7,2,5,8,4,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[5,2,7,8,4,3,1,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,3,1,7,8,4,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[2,7,6,4,1,3,8,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[8,4,2,7,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[6,3,1,7,5,2,8,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[6,2,7,5,3,1,8,4] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[1,5,8,2,7,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[5,7,2,8,4,6,3,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,7,3,1,8,4,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[8,4,7,3,1,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[2,6,8,5,7,4,1,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[5,7,4,6,2,1,8,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,6,4,8,3,7,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,7,1,8,3,4,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[5,6,2,7,1,8,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[1,8,2,7,4,5,3,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[4,6,2,7,1,5,3,8] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,7,1,6,2,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[1,8,5,6,3,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[4,6,5,8,1,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[3,5,4,6,2,8,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[2,4,3,8,1,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,5,7,8,2,6,3,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[5,2,6,8,3,7,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[6,1,4,8,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[6,1,8,4,7,3,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[4,6,7,8,2,5,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,4,7,5,8,6,2,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[2,7,5,3,8,6,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[5,6,2,8,3,7,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[1,5,8,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,7,4,8,1,5,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,8,5,3,7,2,4,1] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[7,5,3,8,2,6,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[7,5,2,3,8,6,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,7,3,4,8,5,2,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[3,6,4,7,8,5,2,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[7,4,5,8,1,6,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[6,3,4,7,8,5,2,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,1,2,7,4,5,8,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[2,5,8,3,4,1,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[4,6,7,3,2,5,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[3,6,8,4,5,7,1,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[1,4,5,7,8,2,6,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[3,4,5,7,8,6,1,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,4,5,7,6,8,1,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,6,7,4,8,5,1,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[3,4,5,6,8,7,1,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[1,2,5,8,3,6,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,4,5,8,6,2,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[7,8,1,4,6,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,4,5,6,8,2,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,4,5,8,6,2,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,2,5,8,3,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,6,7,2,3,5,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[7,8,1,2,3,5,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,6,7,2,3,5,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,4,5,7,6,2,3,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,2,5,7,3,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,2,5,7,3,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,6,8,2,3,5,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,6,8,4,5,2,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[1,6,8,4,5,2,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[1,6,8,2,3,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,6,8,2,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,4,5,7,6,2,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[7,8,1,4,5,2,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,8,1,2,3,4,6,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[7,8,1,2,3,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,6,7,2,3,8,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,2,5,6,3,8,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[8,6,2,4,3,1,5,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,4,2,6,3,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,2,6,3,5,8,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[6,2,4,3,8,5,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[8,2,4,3,6,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,4,8,5,2,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[4,6,8,7,5,2,1,3] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[2,6,8,7,4,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[8,2,6,4,5,1,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,8,5,3,1,4,6,7] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,7,4,8,3,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[2,7,4,8,3,5,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,2,8,4,3,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,4,2,1,5,3,6,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,5,1,4,2,3,6,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[6,7,3,8,4,2,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,7,3,8,4,2,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,1,8,4,3,5,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[1,7,8,4,3,5,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,1,4,8,3,5,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,4,8,1,5,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[7,1,8,4,3,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,7,3,1,8,4,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,7,3,8,4,5,2,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,7,1,4,8,3,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,7,4,1,3,8,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[1,6,7,8,4,3,2,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[7,2,1,8,4,5,3,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[6,2,7,8,4,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,2,7,8,4,3,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[2,6,7,4,8,3,5,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[2,6,7,4,8,3,1,5] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[1,2,7,8,6,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[2,6,7,1,8,5,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,2,7,8,4,5,3,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[7,2,1,8,4,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[1,7,2,8,4,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[3,7,8,1,5,6,2,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[6,3,7,8,1,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[6,7,1,2,8,5,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[3,1,2,7,6,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[6,1,2,4,7,3,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,7,5,3,6,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[4,1,5,7,3,2,6,8] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,6,1,8,3,2,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,7,1,8,3,5,2,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[4,1,7,8,6,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,6,5,7,8,3,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[4,1,8,7,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,8,1,7,3,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,7,1,6,3,2,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[6,1,2,3,7,5,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,5,7,3,4,8,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,5,8,3,4,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[7,8,5,2,4,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,1,2,3,5,6,4,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[8,1,2,3,5,6,4,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[8,1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[6,8,2,4,3,1,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[6,7,2,4,3,1,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[3,8,1,2,4,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,6,4,3,7,5,8,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[3,1,2,6,7,5,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[3,8,1,7,6,4,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[7,6,2,4,3,1,5,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[8,7,2,4,3,5,1,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[8,1,7,4,6,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,1,7,6,5,3,2,4] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[1,5,7,3,4,6,8,2] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[8,7,2,5,3,6,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,1,2,3,5,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[6,1,2,3,5,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[5,1,2,3,7,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[5,1,2,3,8,6,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,5,6,3,4,7,8,2] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[8,6,5,2,4,7,1,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[7,6,2,5,3,1,8,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[7,4,5,2,3,8,6,1] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[8,2,3,7,4,5,1,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[5,4,6,3,1,2,8,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[4,6,2,3,1,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[7,2,3,4,5,8,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[4,7,3,2,8,6,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[3,7,4,5,1,8,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[3,8,2,6,7,4,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[5,8,2,4,6,7,1,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[6,8,1,3,4,2,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[5,8,2,4,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,7,6,1,8,5,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[6,2,3,8,4,5,1,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[7,2,3,6,8,4,1,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[8,2,3,5,7,1,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[6,4,8,3,5,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[5,4,8,3,6,7,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[3,6,1,8,4,5,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[4,6,8,3,5,2,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,7,8,3,2,4,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[4,8,2,3,5,6,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[6,8,2,3,1,4,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[5,2,7,4,8,3,1,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[3,7,8,2,1,4,6,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[6,3,2,4,1,8,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[7,2,3,4,8,5,1,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[5,7,3,1,4,2,6,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,7,4,1,8,2,5,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[6,3,7,4,8,1,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[8,3,7,4,2,6,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,7,4,1,5,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[1,8,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[8,7,4,2,1,6,3,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,3,5,2,7,4,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[7,2,4,8,1,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[1,2,8,7,5,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[3,1,8,6,7,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[1,4,8,6,5,7,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,6,5,4,8,2,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,2,5,1,7,4,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[5,2,1,8,7,4,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[5,2,6,3,8,1,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,2,8,3,4,6,1,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[6,2,8,4,3,1,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,2,8,1,3,6,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[1,5,8,4,6,3,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,8,4,3,6,2,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[1,8,2,4,7,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[3,8,1,4,6,7,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[3,8,2,5,1,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[4,3,8,2,5,1,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[8,2,4,3,5,1,7,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,2,1,4,6,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[6,1,5,2,4,7,8,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[4,1,8,5,2,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[4,1,8,2,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[5,3,8,7,2,1,4,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[6,4,7,5,8,2,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,7,8,4,2,6,3,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,8,4,6,1,7,3,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,6,1,4,7,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,3,6,7,4,8,2,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,6,3,8,4,7,2,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,6,3,8,2,7,4,1] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[4,3,7,2,8,6,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[6,7,3,8,5,2,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[3,5,7,8,4,6,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,7,8,4,6,2,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[2,5,8,4,3,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,7,4,8,6,2,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[3,6,4,8,7,2,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[4,5,7,3,8,6,2,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,5,6,8,4,7,2,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[6,3,1,8,7,5,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[5,4,8,1,7,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[8,5,4,1,7,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[1,8,2,5,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[7,2,8,4,5,1,3,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[1,3,7,5,6,2,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,6,7,4,3,5,2,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,8,5,2,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,8,2,5,3,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[2,6,8,4,3,5,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[7,5,8,3,2,1,6,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[7,2,8,4,1,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,5,8,1,2,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,6,7,4,3,2,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,2,5,7,1,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[6,5,4,3,8,1,7,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[7,3,6,8,5,2,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[2,7,8,3,6,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[2,7,8,5,4,6,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[2,6,5,8,3,4,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[6,2,5,7,4,1,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[6,2,5,8,4,1,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,7,8,4,6,1,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[6,1,2,8,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[6,1,2,8,5,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,2,5,7,8,1,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[1,3,2,7,8,5,6,4] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[6,2,5,3,8,4,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[5,4,1,2,3,8,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[5,1,4,2,3,7,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[5,1,6,3,8,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[9,8,7,6,5,4,3,1,2,10] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2,10] => 111111100
[1,9,8,7,6,5,3,2,4] => [[1,2,4],[3],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,1,2,4] => 11111100
[1,8,7,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[1,9,8,7,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 11111100
[1,10,9,8,7,6,5,4,2,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 111111100
[2,1,9,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => 11111010
[1,2,9,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 11111100
[3,2,1,9,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8],[9]] => [9,8,7,3,6,2,5,1,4] => 11101010
[1,2,3,9,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 11111000
[4,3,2,1,9,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8],[9]] => [9,4,8,3,7,2,6,1,5] => 10101010
[1,2,3,4,9,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 11110000
[1,2,3,4,5,9,8,7,6] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 11100000
[1,2,3,5,4,7,6,9,8] => [[1,2,3,4,6,8],[5,7,9]] => [5,7,9,1,2,3,4,6,8] => 00100000
[1,2,3,4,5,7,6,9,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[1,2,10,9,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 111111100
[3,2,1,10,9,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8],[9],[10]] => [10,9,8,7,3,6,2,5,1,4] => 111101010
[1,2,3,10,9,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 111111000
[1,2,3,4,10,9,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 111110000
[1,3,2,6,5,4,10,9,8,7] => [[1,2,4,7],[3,5,8],[6,9],[10]] => [10,6,9,3,5,8,1,2,4,7] => 101001000
[1,2,3,4,5,6,10,9,8,7] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 111000000
[1,2,3,4,5,6,7,10,9,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[5,2,7,4,1,6,3,8] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[4,7,3,1,5,6,2,8] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[5,8,3,4,1,6,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[1,7,8,4,5,6,2,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,5,8,4,2,6,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[1,6,3,8,5,2,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[6,2,3,7,5,1,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[8,7,3,2,1,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[8,7,6,3,1,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,5,1,7,2,3,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[7,1,9,2,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[2,4,8,5,3,7,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,4,1,8,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,4,8,6,3,1,7,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,4,6,8,2,1,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[8,1,4,5,3,2,7,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[3,4,6,2,1,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,5,6,2,1,7,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,4,6,2,7,8,1,5] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,5,6,2,1,7,4,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[8,1,5,6,7,3,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,1,5,6,7,3,2,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[3,4,1,6,8,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,5,6,1,8,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,1,3,8,6,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,3,8,6,7,1,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,4,1,8,6,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[3,5,6,1,8,7,4,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[3,4,1,6,8,7,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[3,4,6,8,7,1,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[8,1,4,6,2,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[3,5,1,6,7,8,4,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[4,5,6,1,7,8,3,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,5,6,1,7,3,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,5,1,6,7,4,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[3,5,1,6,7,4,2,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[4,5,6,1,7,3,2,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[6,5,8,7,4,3,1,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[6,4,2,7,8,5,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,1,4,8,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[1,6,4,8,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[7,6,2,1,4,8,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[6,4,1,7,8,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[8,1,6,3,4,7,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,8,6,3,4,7,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,7,2,5,4,8,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,1,2,5,4,8,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[2,8,6,1,4,7,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[1,2,7,5,4,8,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[2,5,8,4,7,3,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,8,3,2,4,7,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,1,7,5,4,8,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[1,3,7,5,4,8,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,5,8,4,7,3,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,1,8,4,7,3,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,8,2,4,7,3,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,8,4,3,7,5,1,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[8,7,5,6,2,1,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[1,7,3,5,4,8,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[8,6,4,2,7,5,1,3] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[8,6,4,1,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[5,3,7,4,6,8,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,1,3,2,7,8,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,4,3,2,7,8,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[5,7,3,4,6,8,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,2,1,4,7,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[8,1,7,6,4,3,5,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[8,6,4,5,2,7,1,3] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[7,1,8,6,4,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[7,4,2,5,1,6,3,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[7,3,6,5,2,1,4,8] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[7,3,6,5,2,1,8,4] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[7,5,8,6,4,2,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[5,4,2,8,1,3,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,8,2,6,4,1,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[6,3,5,2,1,4,7,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[2,3,5,8,1,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,3,6,8,1,5,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[6,3,7,5,2,1,4,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[2,5,7,6,3,1,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[2,8,7,6,3,1,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[2,5,8,7,6,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,4,8,1,6,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,8,7,3,6,1,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[7,3,5,2,1,4,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[8,4,2,5,1,3,7,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[2,3,6,8,1,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[2,7,8,6,3,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[7,3,8,5,2,1,4,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[2,3,6,1,8,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[8,3,5,2,1,4,6,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[2,4,8,1,3,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,5,8,1,7,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[3,7,5,8,1,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[7,4,5,8,6,1,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[5,1,8,7,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[4,6,1,8,7,5,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[6,4,8,7,1,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[6,5,1,2,7,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,5,1,8,2,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[6,5,1,8,7,2,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[6,5,1,7,2,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,5,1,7,2,3,8,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[5,6,8,7,4,1,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[7,3,8,1,5,2,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[2,5,8,3,4,6,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[4,1,7,2,3,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[4,6,2,1,5,7,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,5,2,3,1,7,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[6,2,3,8,1,7,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[2,6,8,3,4,7,1,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[4,6,2,7,5,1,3,8] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[2,6,3,1,8,4,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[5,3,2,7,4,8,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,1,2,7,6,8,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[2,6,3,1,8,7,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[3,5,6,4,7,8,1,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[5,3,6,4,2,8,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[6,2,3,8,4,1,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[2,6,4,1,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[5,8,3,1,7,2,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[6,8,4,3,1,5,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,8,4,2,1,5,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[5,1,7,3,2,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[4,3,8,1,6,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[4,2,1,8,5,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[6,3,2,1,7,4,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,4,2,1,7,5,3,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[7,5,2,1,8,6,3,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[5,3,2,7,6,1,4,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,3,2,8,6,1,4,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[6,3,2,8,7,1,4,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[4,2,8,1,7,3,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,3,8,7,2,1,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[2,1,5,8,4,7,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[5,4,1,7,2,8,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,4,2,1,7,8,5,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,3,2,1,6,7,8,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[8,6,1,4,5,7,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[5,2,8,3,7,4,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[6,2,8,5,4,7,3,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[1,8,6,3,7,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[6,5,3,8,4,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[6,4,3,7,1,2,8,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,4,3,8,1,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[7,6,3,8,4,2,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[7,5,3,8,4,2,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[6,4,2,7,3,1,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[5,4,1,6,3,8,7,2] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[6,5,1,7,8,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,3,1,7,8,4,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,1,5,4,3,2,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[8,7,6,1,3,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,4,1,5,7,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[7,8,6,2,5,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,1,3,5,2,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[8,4,7,6,3,1,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[3,4,7,5,6,1,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[5,4,1,7,6,2,8,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[3,5,6,7,1,4,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[5,7,2,1,6,3,8,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[4,7,2,5,6,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[8,6,2,5,7,1,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[2,7,4,5,3,8,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,8,7,1,3,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[2,8,6,5,7,1,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[5,8,4,3,2,6,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,4,8,1,3,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[1,4,5,2,8,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[3,5,7,6,2,8,1,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[4,5,6,1,2,8,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,4,1,2,8,6,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[8,4,5,2,1,6,7,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[5,1,3,2,7,8,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[4,6,7,8,3,1,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,6,8,4,3,2,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,3,8,1,7,2,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[3,6,7,8,4,2,1,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[6,5,1,8,4,3,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,3,8,4,2,1,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,5,8,1,2,6,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[1,5,8,3,2,6,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[3,2,7,8,4,6,1,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[4,8,7,2,1,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[2,8,1,6,3,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[8,3,4,2,1,6,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[6,4,7,2,5,8,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[8,4,5,2,6,3,1,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[2,4,5,8,3,6,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,5,8,1,2,6,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[5,8,6,1,3,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[5,8,4,6,1,3,2,7] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[7,3,4,5,2,8,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[2,6,4,3,7,8,5,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,4,1,8,3,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,6,3,1,5,4,8,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[2,4,6,5,1,7,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[1,4,7,5,6,8,2,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,4,7,6,5,8,2,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[3,7,5,2,4,6,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[5,6,1,7,4,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[6,4,7,8,2,1,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,3,8,4,1,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[4,7,5,8,3,1,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[5,7,3,1,6,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[2,8,4,3,1,5,7,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,8,1,2,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[8,7,6,4,1,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[5,7,2,3,6,8,1,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[8,5,3,2,7,6,1,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[3,4,5,7,6,1,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[2,6,4,5,7,8,3,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[3,8,5,1,6,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,5,1,3,6,8,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[5,4,6,1,3,7,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[3,7,8,4,1,5,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[3,6,1,2,5,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[1,2,6,4,5,8,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,5,2,4,6,8,3,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[3,6,1,5,8,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[2,6,5,1,4,8,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[5,2,6,1,4,8,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[2,5,1,8,4,7,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[2,7,1,4,3,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[1,3,7,5,8,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,2,1,5,7,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,5,4,8,1,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[2,4,1,3,8,6,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[8,4,3,7,1,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,7,3,5,8,2,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[1,8,4,2,6,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[4,1,7,2,6,8,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[5,1,7,2,3,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[2,6,1,7,3,5,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[7,1,2,5,3,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[8,1,3,2,4,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[7,3,1,2,4,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,8,3,4,7,2,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,5,8,1,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[4,1,3,8,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,4,6,8,2,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[3,5,8,1,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[2,6,8,1,7,3,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[6,1,5,8,2,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[1,8,3,2,7,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,1,7,2,8,5,6,4] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[2,6,7,3,8,1,5,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[8,4,1,7,3,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,7,2,8,6,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,2,3,8,7,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[5,1,7,8,4,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[4,1,7,8,5,3,6,2] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[5,1,7,4,8,3,6,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[4,8,2,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,7,2,6,3,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[6,8,2,4,3,7,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[6,7,2,4,3,8,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[3,8,7,2,4,1,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,7,8,2,4,1,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,6,8,2,4,5,7,1] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[6,5,1,4,2,3,8,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,7,6,1,2,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[5,4,3,1,6,2,8,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[8,3,4,7,1,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[6,3,4,1,8,5,2,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[3,8,5,2,7,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[2,1,8,7,3,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[3,6,5,8,2,4,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[5,2,1,8,7,3,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[6,5,2,7,4,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[4,6,5,2,7,3,8,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[2,7,5,4,8,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[8,7,5,1,2,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,4,3,2,7,1,6,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[7,1,6,2,3,8,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[4,8,1,3,2,7,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[3,8,1,4,7,5,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[6,3,8,7,4,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,1,4,8,5,2,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[8,5,7,4,6,2,1,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[4,6,7,8,2,3,5,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[8,7,4,6,2,1,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[7,6,1,3,5,2,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[5,8,3,2,4,6,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,8,7,6,5,2,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[2,1,8,6,4,3,7,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[4,7,6,1,2,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[3,4,1,7,8,5,6,2] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[8,5,6,2,7,3,1,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[8,4,2,5,6,1,7,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[1,7,2,4,5,8,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,7,4,5,8,3,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[2,6,4,7,8,3,5,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[1,2,6,4,7,8,3,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[6,1,4,7,8,3,5,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[3,6,4,7,8,1,5,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[4,7,2,1,5,3,8,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[1,3,6,4,7,2,8,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[3,6,4,7,2,8,5,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[5,1,3,4,2,7,8,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[6,3,2,1,7,8,5,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,4,7,8,3,2,5,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[8,6,1,2,5,4,3,7] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[5,8,6,4,1,3,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[6,8,5,7,4,2,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[2,3,8,7,1,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[4,3,7,8,1,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[7,3,8,4,1,2,5,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[4,8,1,2,7,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[5,6,8,4,1,3,7,2] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[8,5,4,7,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[2,5,8,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,4,8,7,5,6,1,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,7,4,8,5,6,2,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[6,4,8,7,5,1,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[3,8,5,2,4,6,7,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[5,7,1,8,4,6,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,3,8,7,2,1,4,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[2,3,7,8,5,6,1,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[3,7,6,8,5,1,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[2,6,7,8,5,1,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[2,4,7,8,1,6,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[5,4,7,8,2,6,3,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[6,8,7,1,5,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[5,8,3,2,7,6,1,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[4,5,3,2,8,6,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,5,8,6,1,4,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[4,8,6,1,5,2,7,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[5,8,2,3,7,6,1,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[2,6,4,8,5,1,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[7,6,4,8,5,2,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[3,4,8,7,5,6,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[7,5,3,2,8,6,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[2,5,1,3,8,6,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[4,5,1,2,8,6,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,4,8,1,3,6,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[8,3,5,4,1,6,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[7,3,4,8,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,4,5,1,2,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,4,3,1,2,8,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[8,4,7,6,2,1,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[7,2,1,4,5,8,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[7,4,1,6,3,5,8,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[3,5,7,6,4,1,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[4,7,5,2,1,3,8,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[5,7,2,3,6,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[5,7,2,4,8,3,6,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[1,7,2,4,8,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,6,1,5,4,8,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[4,7,3,2,1,8,5,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[3,1,7,2,5,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[4,8,7,6,1,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[7,8,6,1,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[2,8,6,7,4,1,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[5,8,6,4,2,3,1,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[2,8,3,1,6,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,8,1,2,5,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,8,5,4,2,7,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[6,8,3,1,2,4,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[4,1,3,8,7,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,4,5,2,1,6,3,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,3,2,6,8,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[7,1,5,6,3,8,2,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[5,1,2,4,7,8,3,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[3,5,4,2,8,1,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[5,1,3,8,4,2,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,6,8,1,7,3,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[6,5,8,4,3,1,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[8,5,1,3,7,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,5,8,3,7,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[3,8,2,7,1,5,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[7,5,1,8,4,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[2,1,6,5,4,8,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[2,1,7,8,4,6,5,3] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[2,1,7,4,3,5,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[3,5,7,8,4,6,1,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[7,5,2,8,4,6,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,6,3,8,1,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[4,3,8,7,1,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[4,7,5,6,3,8,2,1] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => 1111000
[4,2,7,5,8,3,6,1] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[5,8,2,7,3,4,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[6,3,2,1,4,8,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,2,3,1,4,7,8,5] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[5,2,1,3,6,4,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[7,1,8,3,5,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,1,2,4,8,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[7,2,1,3,4,5,8,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[8,7,3,5,4,2,1,6] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[8,4,6,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[5,1,6,4,3,2,8,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[8,3,7,1,4,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[6,3,8,7,5,2,1,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[9,1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 11111110
[7,6,8,1,5,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[3,1,9,8,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 11111010
[10,1,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 111111110
[7,6,1,8,5,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[6,5,8,1,7,4,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[6,5,8,7,4,1,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[3,1,10,9,8,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 111111010
[1,6,4,8,3,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,8,3,5,6,2,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,4,8,5,6,2,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,2,8,5,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[6,1,4,8,2,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,8,2,5,4,7,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,7,4,2,5,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,7,4,2,1,3,8,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,4,3,8,5,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,3,7,4,5,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[6,8,4,2,3,1,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,7,5,2,4,1,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[7,1,3,2,8,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[2,1,7,4,8,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,8,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[7,4,8,2,3,1,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,3,7,2,1,4,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[6,5,2,4,7,1,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[6,5,7,4,1,8,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[7,6,4,5,1,8,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[8,6,4,1,3,7,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[6,4,3,1,8,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[7,4,1,2,8,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[4,8,1,3,5,7,2,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[4,7,3,1,8,2,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[8,3,1,7,2,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[2,8,1,4,7,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[4,5,1,8,2,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[5,6,7,2,3,1,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,7,2,8,3,1,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,7,2,1,8,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,7,2,1,3,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,1,7,8,2,4,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,6,1,7,2,4,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,1,6,7,8,3,4,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[3,1,8,6,7,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[5,1,6,7,4,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,6,1,7,8,4,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,6,8,1,7,5,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[5,6,7,1,8,3,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,7,1,3,8,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,7,1,3,2,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,7,3,1,2,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,7,3,8,1,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,8,7,4,2,1,3] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[5,6,7,3,8,2,1,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[7,4,6,2,3,5,1,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[7,6,3,1,5,8,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[6,4,2,5,7,3,1,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,2,5,7,6,3,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,2,7,6,1,8,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[4,7,5,1,6,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[3,2,5,1,4,8,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[5,4,8,3,7,1,6,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[4,7,1,8,2,5,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,4,1,8,5,3,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[3,2,5,4,7,8,1,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[8,1,6,7,2,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[3,1,7,6,5,8,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[1,2,7,5,6,8,3,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[6,1,4,7,2,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[3,2,1,7,6,8,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[3,2,8,6,4,7,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[7,8,4,6,3,2,1,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[3,8,5,2,7,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[4,7,5,3,1,8,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[1,6,3,5,7,2,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[8,4,6,5,7,2,1,3] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[7,4,5,2,6,8,1,3] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[5,4,2,6,8,7,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[6,5,1,4,3,2,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[3,6,4,5,2,1,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[7,5,4,2,3,8,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,8,1,3,5,6,2,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[1,7,8,3,5,6,2,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[3,1,7,8,5,2,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[1,3,7,5,8,2,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[3,5,7,1,8,4,6,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,5,7,8,1,4,6,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,3,7,8,4,6,1,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,3,7,1,8,4,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[5,1,3,7,8,4,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[3,6,2,1,4,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[8,6,1,7,3,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[2,5,8,1,7,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[6,8,2,3,7,1,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[8,6,2,7,4,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[5,2,8,1,7,3,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[4,2,3,8,1,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[5,2,8,3,7,1,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[5,2,8,4,6,1,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[2,1,5,8,4,3,6,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[5,8,3,2,7,1,4,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[3,5,8,2,7,1,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[4,5,8,2,6,1,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[2,6,8,3,7,1,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[5,1,8,3,7,2,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,1,8,4,6,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[5,8,4,1,6,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[4,5,8,1,6,2,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,4,8,1,6,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[4,8,5,1,6,2,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[2,1,5,4,8,3,6,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,4,3,8,1,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[3,1,8,4,2,5,6,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[3,8,4,2,1,5,6,7] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[2,3,8,4,1,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[3,4,2,8,1,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,8,5,2,7,1,4,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[4,8,5,2,6,1,3,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[2,1,4,8,5,3,6,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[3,2,8,4,1,5,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[2,8,4,3,1,5,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[4,1,7,5,6,2,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[5,7,4,3,8,2,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,8,4,2,6,7,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,8,4,1,6,7,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[6,1,7,5,2,8,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[5,6,4,3,2,8,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,7,4,8,2,5,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[2,1,6,7,5,3,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[3,8,4,2,1,6,7,5] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[5,7,4,3,8,2,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[6,7,4,8,1,2,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,7,5,8,1,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[6,7,4,8,3,1,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,1,3,4,8,2,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[6,2,3,4,8,1,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[3,4,8,2,1,5,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[6,7,5,8,2,4,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[3,4,8,1,5,7,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[6,7,4,8,2,3,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,4,8,1,3,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[2,6,7,5,1,3,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,3,1,4,8,2,5,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[6,7,4,8,1,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,7,5,8,4,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,7,4,8,2,1,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,4,8,1,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,4,3,6,5,8,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[8,1,3,4,7,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[5,1,7,3,4,8,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[6,7,8,2,3,5,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,8,6,2,3,7,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[2,8,3,4,7,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[1,8,3,4,7,6,2,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,7,2,3,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => 1111100
[3,8,1,7,5,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[4,8,1,6,7,2,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[8,2,1,7,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[1,3,2,8,5,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[8,3,1,5,7,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,4,5,1,7,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,4,5,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => 1111100
[1,4,8,5,7,6,2,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[2,4,8,5,7,3,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[6,7,2,8,5,3,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,2,7,8,6,3,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[4,2,8,6,7,3,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[3,1,8,7,5,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[4,1,8,6,7,5,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[5,1,7,8,6,4,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,7,1,8,5,4,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[7,8,3,2,6,1,4,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,8,1,4,5,6,3,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,8,4,5,1,6,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[6,2,4,8,1,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[3,4,8,5,1,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[1,4,8,2,6,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[5,3,8,1,4,6,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[6,1,7,5,8,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[6,2,1,8,4,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[1,2,7,8,5,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[3,1,8,4,5,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[2,1,4,8,6,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[3,6,2,8,5,1,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[4,1,2,8,7,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,4,2,8,7,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[7,2,1,8,5,3,4,6] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[7,1,6,5,8,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[6,5,7,1,8,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[7,1,2,8,4,5,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[7,6,1,5,8,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[1,8,7,5,3,2,4,6] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,8,7,4,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[7,1,6,4,2,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[2,6,5,4,7,1,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[7,1,5,3,6,4,2,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[5,3,7,1,6,4,2,8] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,3,6,4,2,7,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[1,5,3,8,7,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[7,4,2,8,6,3,5,1] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[5,3,6,1,8,7,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[2,3,1,8,7,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[5,3,8,7,4,2,1,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[7,4,2,1,8,6,3,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[8,6,3,5,7,4,2,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,6,3,7,4,2,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[2,8,6,4,7,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[5,1,8,6,3,7,4,2] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[6,3,7,4,1,8,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[8,5,2,6,3,7,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[6,1,8,7,4,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,6,3,7,4,2,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[1,8,6,3,2,4,7,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,6,3,2,4,7,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[7,5,1,8,6,3,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[4,3,2,8,7,6,1,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[2,4,5,1,3,8,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[7,5,8,6,3,2,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[1,7,5,8,6,3,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[1,7,4,2,5,8,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[8,6,3,1,7,4,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[2,8,6,4,1,3,7,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[7,4,2,8,6,3,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[6,3,1,8,5,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[8,5,2,6,3,1,7,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[1,8,5,2,7,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[6,3,1,7,4,8,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[8,6,3,1,5,7,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[4,1,7,5,8,6,3,2] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[8,5,2,1,7,4,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[1,7,4,6,3,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[5,1,7,4,8,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[4,6,2,7,3,1,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[1,8,5,4,2,3,7,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[5,6,3,8,7,1,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[1,8,7,4,2,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[5,2,8,6,7,1,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[6,2,8,7,5,1,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[1,8,5,7,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[3,6,7,8,5,1,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[1,8,6,7,5,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,3,8,7,5,1,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[2,8,7,4,1,3,5,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[5,4,8,7,1,3,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,4,2,7,6,8,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[2,8,7,1,4,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[4,2,1,8,7,3,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[5,1,6,3,2,8,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[8,7,2,3,5,4,1,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[4,3,5,2,8,7,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[3,4,2,8,6,1,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,7,6,8,1,5,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[3,7,2,1,8,6,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[1,7,6,3,5,8,2,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[3,7,5,1,6,8,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[1,7,4,6,8,2,5,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[7,5,8,2,6,3,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,3,2,6,1,8,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,4,7,2,3,1,8,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[5,3,1,8,4,6,2,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[2,7,4,3,6,8,1,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[2,8,4,6,1,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[4,7,3,8,5,2,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[3,1,7,4,8,5,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[3,8,6,2,7,4,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[7,3,1,4,5,2,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[6,1,4,8,5,3,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[8,1,2,4,6,7,5,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[7,5,2,3,8,6,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[8,6,2,4,1,3,7,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[4,7,5,1,8,6,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[4,7,3,2,8,5,6,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[7,5,8,4,2,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[3,8,4,6,1,7,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[3,7,4,6,5,2,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[8,3,1,4,5,7,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[6,1,5,7,3,8,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[5,8,4,7,3,2,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[8,3,2,5,1,6,7,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[8,3,7,4,2,1,6,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[5,2,6,8,3,1,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[3,6,5,8,4,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[8,2,7,3,4,6,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[7,3,8,2,5,6,4,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[5,7,3,1,6,4,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[6,1,3,2,4,8,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[8,7,4,2,3,6,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,7,1,5,4,2,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[3,7,1,5,2,8,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[8,7,2,5,3,1,4,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[5,2,8,7,1,4,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,1,6,2,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[7,1,6,2,8,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,2,4,3,5,1,8,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[5,1,7,2,3,8,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[8,2,3,5,1,7,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[6,1,8,2,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[7,2,8,1,6,5,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[5,1,7,4,3,8,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[5,3,1,7,4,8,2,6] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[8,2,4,1,6,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[6,1,7,3,2,8,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[6,2,1,5,3,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[6,1,5,2,8,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[7,4,3,8,1,5,2,6] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[7,4,8,1,5,3,2,6] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[6,1,5,3,2,8,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[6,3,2,8,4,1,5,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[7,3,4,2,8,5,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,5,1,3,7,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[3,8,6,1,5,2,7,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[8,6,1,3,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[6,7,1,3,8,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[3,6,7,1,5,2,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[5,6,2,7,1,3,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,2,8,1,3,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[6,1,8,3,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[7,4,2,1,5,8,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[7,4,1,5,8,3,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[7,3,2,6,4,8,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[6,4,2,7,3,8,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[5,1,8,3,7,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[7,4,8,3,1,5,2,6] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[5,2,1,7,4,8,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[6,1,8,4,5,2,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[7,1,6,4,5,2,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[3,5,2,7,1,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[4,5,7,3,1,6,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[3,5,1,7,2,6,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[4,5,7,2,8,1,3,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,6,7,2,1,5,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[6,1,3,7,4,8,5,2] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[3,2,1,7,4,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[4,1,5,2,7,6,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[2,5,1,4,3,8,6,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[3,7,4,2,1,8,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,2,5,3,1,8,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,5,1,4,2,8,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[5,3,2,1,7,6,4,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[7,4,3,2,8,1,6,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[1,8,5,3,6,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,6,3,2,7,5,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[8,3,2,7,1,6,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,5,7,4,3,6,2,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[7,6,4,8,3,2,5,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[6,5,8,4,1,3,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[5,4,8,3,2,1,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[4,3,7,2,1,6,5,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[2,5,8,1,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[3,6,8,2,1,5,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[5,7,4,8,1,3,6,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[5,7,1,4,8,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[2,7,4,1,8,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[4,1,5,7,3,6,2,8] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,2,5,8,3,1,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[6,1,2,7,8,3,5,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[5,3,1,8,6,4,2,7] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[3,1,8,4,7,5,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[4,2,8,7,3,5,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,8,1,7,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[6,8,1,4,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[4,7,8,1,5,3,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[7,1,8,6,2,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[3,8,7,2,1,6,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[2,8,7,1,6,3,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[3,7,6,1,5,4,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[4,8,7,6,1,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[5,8,7,2,6,1,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[7,3,8,6,5,1,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[5,7,8,4,3,1,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[5,8,6,4,3,2,1,7] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[8,7,3,6,4,2,1,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => 1111100
[3,4,7,5,8,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[2,4,7,1,5,3,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[5,3,6,2,4,1,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,6,1,4,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[1,7,4,2,6,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[9,1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[10,1,2,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[9,1,2,3,4,5,7,8,6] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[2,3,4,5,6,9,7,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[2,3,4,5,6,7,8,10,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[9,2,1,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => 11111010
[5,2,8,7,6,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[8,2,7,6,1,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[9,2,8,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => 11111010
[9,3,1,8,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 11111010
[10,2,1,9,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => 111111010
[4,5,6,2,3,8,1,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,5,3,2,7,8,1,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[6,5,7,3,8,4,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[6,8,7,2,4,3,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[3,2,7,4,5,8,1,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[6,8,1,5,2,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,3,4,6,1,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[2,3,4,7,5,8,1,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[6,3,4,7,8,2,5,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[5,3,7,4,8,6,1,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[3,7,8,5,4,1,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[5,4,3,1,7,8,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[1,5,6,8,4,7,3,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[4,1,3,7,6,5,8,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[3,4,1,7,5,8,6,2] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[8,5,7,4,3,1,6,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[8,2,4,1,3,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[7,8,3,6,2,1,4,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[8,1,7,4,2,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,8,7,2,3,5,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[2,8,3,1,6,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,3,1,5,7,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[3,8,4,1,2,7,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[6,3,2,1,8,4,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[2,3,7,4,1,8,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[6,4,1,3,2,7,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[2,7,8,5,1,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[8,2,5,6,7,1,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,8,5,4,7,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[6,7,1,5,8,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[4,8,7,6,2,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[7,8,1,5,3,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[6,5,7,3,8,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[8,1,4,7,2,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,3,4,5,7,1,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[4,2,6,8,3,1,5,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[3,7,6,2,4,5,1,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[2,3,6,5,8,1,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[4,2,3,8,6,1,5,7] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[6,4,1,2,8,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,2,3,7,4,6,8,5] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[3,2,7,1,4,5,8,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[2,1,5,3,8,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[5,8,3,2,4,1,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,1,8,2,7,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,2,7,5,3,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[3,2,7,1,4,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[1,2,3,7,6,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,3,6,8,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,3,7,8,4,6,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,2,3,6,8,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,2,3,7,8,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,2,8,3,7,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[4,2,8,3,7,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[5,3,4,8,7,2,6,1] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,3,5,8,7,2,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,6,3,8,5,7,2,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[7,5,3,8,6,2,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[1,8,4,3,7,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[2,5,8,3,7,4,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[7,4,3,8,6,2,5,1] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[3,5,4,8,7,2,6,1] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[4,5,3,8,6,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,6,7,8,4,5,2,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[2,6,8,5,4,7,3,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[2,5,8,6,4,7,3,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[7,4,6,5,8,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[6,3,7,8,4,5,2,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[4,3,7,8,5,6,2,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[5,2,8,6,4,7,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[4,2,8,6,5,7,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[3,2,8,6,7,4,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[2,3,8,7,5,4,6,1] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[1,8,2,7,4,5,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[7,2,8,6,3,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,2,8,4,5,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[4,2,8,5,6,7,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,3,6,8,5,7,2,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[3,4,6,8,7,2,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[7,3,5,8,6,2,4,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[1,8,3,5,7,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[2,7,8,4,5,6,3,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[3,7,5,8,4,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[5,7,4,6,8,3,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,6,5,8,4,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[2,6,8,4,5,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[4,2,5,1,3,8,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[5,3,6,1,7,2,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[3,7,1,2,5,8,6,4] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[3,7,4,1,2,8,5,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[7,5,1,3,4,8,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,5,1,2,4,8,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,4,2,3,7,1,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,6,3,8,1,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,4,2,3,8,1,6,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[4,7,5,2,8,1,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[8,4,7,1,2,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,5,7,1,2,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,5,7,1,3,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,6,2,7,1,3,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[3,8,5,6,1,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[3,7,5,8,1,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[7,6,4,8,1,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[6,5,8,1,2,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[3,6,8,1,2,5,7,4] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[3,7,2,4,8,1,6,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[4,6,3,8,1,2,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,1,7,8,2,3,6,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[5,1,2,8,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[5,3,8,1,6,2,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[6,1,8,5,2,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[6,1,7,5,2,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[6,8,1,3,7,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[4,7,8,2,5,1,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[6,8,2,7,1,4,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[4,8,7,1,3,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[3,8,7,1,2,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[4,8,7,1,2,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[5,8,7,1,2,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[5,8,7,1,3,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[7,1,8,6,2,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,8,4,1,2,5,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,8,1,2,6,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,4,8,2,7,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[7,8,2,1,6,3,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[1,2,8,7,5,4,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[5,1,7,3,6,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[6,2,1,5,7,4,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,4,8,7,5,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[1,8,3,7,6,4,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[5,1,2,4,7,6,8,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[4,8,1,2,6,7,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[3,1,2,4,6,8,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,7,8,5,2,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[2,8,6,7,5,1,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[5,1,3,4,6,7,2,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[8,2,4,1,7,3,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[1,6,8,4,3,7,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[3,1,4,7,8,5,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[6,1,7,4,3,8,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[1,8,7,4,3,6,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[4,8,2,3,1,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,8,6,2,1,3,7,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[2,7,4,1,8,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[1,7,8,4,2,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[4,7,1,3,8,2,6,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[8,7,1,3,4,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,7,4,3,6,2,8,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,4,7,3,6,2,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,8,3,4,2,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[6,4,1,3,7,2,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[4,2,3,8,5,7,1,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[2,8,5,7,3,4,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[5,8,2,6,4,3,1,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[7,2,5,8,4,3,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[4,2,3,5,8,7,1,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[8,2,3,5,4,7,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[6,1,8,3,4,2,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[3,8,4,5,6,2,1,7] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[3,8,6,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[7,1,4,5,3,2,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[1,8,4,2,6,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[5,1,4,8,6,3,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[4,3,8,1,5,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[6,3,1,2,5,7,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[7,1,4,2,6,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[3,8,4,1,6,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[7,3,6,4,5,8,2,1] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => 1111000
[8,7,2,4,5,1,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[2,1,8,7,5,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[5,7,1,4,8,6,3,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[3,5,7,4,8,6,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,7,4,8,6,2,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[2,7,8,4,5,1,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[5,7,3,8,4,1,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[8,7,3,1,5,4,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[3,6,2,1,5,4,8,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[5,4,2,6,1,3,8,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[3,2,6,5,1,4,8,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[2,5,8,1,7,4,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[6,8,2,7,4,3,1,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[6,8,2,3,7,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[2,6,5,1,8,4,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[5,2,7,3,8,6,1,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[2,1,5,8,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[5,8,4,2,6,7,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[3,2,4,8,1,5,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[2,4,8,3,1,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,8,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[4,1,3,7,2,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[3,4,8,2,1,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[6,8,3,7,2,1,5,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[3,5,8,1,7,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[5,1,7,4,6,8,3,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[2,7,6,3,8,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[2,1,7,6,4,8,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[2,1,5,4,8,7,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[5,4,8,7,2,6,1,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[2,4,3,8,7,1,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[3,4,1,8,6,2,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,8,5,4,2,1,7,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[4,8,6,5,2,7,1,3] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[2,8,6,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[7,3,6,5,2,8,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[8,7,5,3,1,4,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[7,1,5,3,8,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[2,1,8,7,4,3,5,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,8,7,4,2,1,5,6] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[8,5,2,6,1,7,3,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[5,4,2,6,8,3,7,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[6,5,2,8,1,4,3,7] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,7,8,4,5,1,3,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[4,8,1,2,5,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[8,1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[4,8,7,6,3,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[3,8,7,6,5,2,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[5,8,4,7,6,3,2,1] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => 1111010
[6,8,5,4,7,3,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[4,8,7,6,3,2,5,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => 1111010
[3,8,7,6,5,2,1,4] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[8,6,9,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[8,6,9,4,7,5,2,3,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[8,6,9,4,7,2,5,3,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[8,7,9,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,9],[8]] => [8,7,9,5,6,3,4,1,2] => 10101010
[9,7,10,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => 010101010
[8,6,4,9,7,5,2,3,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[9,7,10,5,8,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => 010101010
[8,6,9,4,2,7,5,3,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[9,7,10,5,8,3,6,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => 010101010
[8,6,9,4,7,2,1,5,3] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[8,6,9,4,7,3,5,2,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => 11101010
[9,7,10,5,8,3,6,2,4,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => 110101010
[7,6,8,2,5,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[3,5,2,4,7,6,1,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,4,7,2,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,5,4,7,6,1,2,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,5,4,7,6,1,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,5,7,4,6,1,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,5,7,4,6,1,2,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,5,7,4,6,2,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,2,5,7,4,6,1,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,2,7,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,5,7,2,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[5,3,7,6,2,4,1,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,3,7,6,1,4,2,8] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,3,7,6,4,1,2,8] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[3,5,7,2,6,1,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,5,2,7,6,1,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[5,3,7,6,4,1,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[3,7,5,4,1,8,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[3,7,5,4,1,8,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[3,7,5,1,4,8,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[3,7,5,1,4,8,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[3,5,7,1,2,6,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,5,7,2,1,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,5,2,7,1,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,5,7,2,1,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[5,3,7,1,6,2,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[3,5,7,1,4,6,8,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,5,7,1,4,6,2,8] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,5,7,1,4,2,6,8] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,5,7,2,1,4,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,2,7,1,4,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,2,5,7,4,1,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,2,7,4,1,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,7,4,2,1,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,5,7,4,1,2,6,8] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,5,4,7,1,6,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,5,4,7,1,2,6,8] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,5,4,7,2,1,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,5,4,2,7,1,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,2,5,4,7,1,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,4,7,2,1,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,5,4,7,1,2,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,7,6,3,1,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,7,6,3,1,8,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[3,5,7,4,1,2,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,5,7,4,2,1,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,2,5,7,4,1,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,2,5,7,1,4,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,2,7,1,4,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,7,2,1,4,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,7,1,4,2,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,7,5,2,1,8,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[1,3,4,5,6,7,9,2,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[2,3,4,5,6,7,1,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,1,4,5,6,7,8,9,3] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[3,1,4,5,6,7,8,2,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[5,8,7,2,4,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[3,8,6,4,1,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,8,4,1,7,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[3,2,7,6,1,5,4,8] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,2,8,7,6,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[5,7,8,2,4,1,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[4,2,5,8,1,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,2,5,8,1,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[5,8,2,4,1,6,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[3,2,6,8,1,5,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[8,3,2,5,6,1,4,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[3,2,8,6,7,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,2,6,8,7,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,2,6,7,1,5,4,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[7,2,8,1,5,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[7,2,4,1,8,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[3,2,8,5,7,1,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[2,6,5,7,1,8,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[2,5,1,8,7,4,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[8,3,5,4,1,6,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,6,3,4,1,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[5,4,7,6,8,2,3,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[4,1,8,2,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[2,1,8,5,3,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[1,6,8,3,4,5,7,2] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[6,4,2,7,3,5,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,4,1,8,3,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,5,4,8,7,3,1,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[8,7,4,2,1,3,6,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,7,1,3,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,8,2,3,1,7,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[2,7,4,3,8,5,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,3,7,2,1,5,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[5,7,8,2,4,3,1,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[8,4,7,3,2,6,1,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[3,2,5,7,4,8,1,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[8,2,7,3,4,1,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[7,1,6,3,5,8,2,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,5,2,7,8,6,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[2,6,8,5,1,4,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[1,4,2,8,6,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[3,5,1,6,8,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[5,7,6,2,1,3,8,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[2,5,8,7,4,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[4,1,7,5,2,6,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[7,3,4,2,5,8,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,1,4,5,2,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[5,2,4,8,6,7,1,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[8,5,6,2,1,3,7,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[4,2,1,5,6,7,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[7,3,5,2,4,6,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[5,3,7,2,4,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,7,5,2,4,6,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[5,7,3,2,4,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[1,5,3,2,4,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,5,3,2,7,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,7,3,2,1,4,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,7,3,2,4,1,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,7,2,5,4,1,6,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[5,1,3,2,4,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,1,3,2,7,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[7,1,3,2,5,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,7,3,2,5,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[7,1,3,5,2,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[5,1,3,7,2,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[3,2,7,5,1,4,6,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,7,5,1,2,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[5,7,3,1,2,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,5,3,7,2,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,3,2,7,4,1,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,2,4,7,1,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,2,1,4,7,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,2,1,7,4,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[1,3,2,7,5,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,3,7,2,5,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[7,3,1,2,5,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[5,3,1,2,7,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,3,1,2,4,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[3,2,5,1,4,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[7,3,1,5,2,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,3,7,5,2,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[7,5,1,3,2,4,6,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[5,7,1,3,2,4,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[3,7,1,5,2,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,7,1,2,5,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,7,2,1,5,4,6,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,2,1,7,5,4,6,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,1,2,7,5,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,1,7,2,5,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,1,7,5,2,4,6,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[7,1,5,3,2,4,6,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[1,7,5,3,2,4,6,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[1,2,3,4,5,7,9,6,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[1,3,9,2,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[1,9,8,7,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 11111100
[2,9,8,7,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => 11111010
[1,9,8,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 11111100
[1,9,2,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 11111100
[1,10,9,8,7,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 111111100
[4,9,8,7,6,1,2,5,3] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 11110100
[1,10,9,8,7,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 111111100
[1,8,7,4,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[2,10,9,8,7,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => 111111010
[1,10,9,8,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 111111100
[1,10,9,2,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 111111100
[2,10,1,9,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => 111111010
[1,9,8,7,6,3,2,5,4] => [[1,2,4],[3,5],[6],[7],[8],[9]] => [9,8,7,6,3,5,1,2,4] => 11110100
[4,10,9,8,7,6,1,2,5,3] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,5,1,2,3] => 111110100
[1,9,8,7,4,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 11110100
[2,8,1,4,7,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[1,8,7,4,3,2,6,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[7,5,3,4,2,8,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[8,5,3,6,2,4,7,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[8,5,6,3,7,4,2,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[8,5,6,2,7,4,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,7,6,3,4,1,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[2,5,1,4,8,7,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[1,5,6,4,8,7,2,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[1,6,4,3,8,5,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[7,6,1,4,5,3,8,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[1,6,4,2,8,5,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[7,6,5,8,2,4,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[7,6,5,8,3,1,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[2,6,4,3,8,5,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[7,2,3,1,5,8,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[7,1,5,6,3,8,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[7,2,6,5,3,8,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[1,5,6,4,8,3,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[7,1,3,2,4,8,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,6,1,5,4,3,8,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[3,4,6,8,7,2,1,5] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[4,2,1,5,3,7,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[3,5,6,8,1,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[4,5,3,1,7,2,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[3,5,7,1,8,4,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,1,3,4,2,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[5,3,1,4,2,6,7,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[4,2,6,1,3,7,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,6,2,7,1,3,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[5,1,4,2,3,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[3,6,1,7,2,5,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[5,1,4,3,2,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[6,2,4,5,1,8,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,1,4,8,6,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[8,6,2,4,7,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,6,8,1,4,5,7,3] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[8,4,2,6,7,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[1,6,7,5,8,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[5,8,1,4,3,6,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,8,4,1,3,7,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,4,5,3,8,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[4,3,5,7,2,1,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,4,6,2,5,8,7,1] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[4,2,8,3,5,7,1,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[1,3,7,2,6,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,3,6,4,2,5,8,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,5,4,7,3,6,8,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[1,6,3,7,8,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[5,1,8,3,6,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[3,8,5,6,1,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[3,4,8,1,7,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[6,7,4,8,5,1,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[6,4,8,3,1,7,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[3,6,5,8,7,1,4,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[5,7,4,8,2,6,3,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,6,4,8,2,7,3,1] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[6,5,3,8,2,7,4,1] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[6,4,8,1,3,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[1,5,4,3,7,8,2,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[4,2,7,8,5,3,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[4,2,5,3,1,7,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,2,8,7,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,2,7,6,3,1,5,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[6,3,1,8,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,6,3,1,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[1,8,2,7,6,4,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,3,5,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[7,5,2,4,8,6,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[5,2,8,6,3,7,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[8,3,6,4,7,5,2,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[1,8,2,7,5,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[7,5,2,1,8,3,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,5,2,6,3,1,8,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[5,2,7,4,1,8,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[5,2,8,7,4,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,7,4,1,5,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[7,4,1,5,2,8,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[7,5,2,8,6,3,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[8,7,5,2,6,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,5,2,1,3,6,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[8,7,5,2,1,3,6,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,5,2,1,3,8,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[1,3,7,6,5,8,2,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[8,6,4,7,5,2,1,3] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[6,4,8,7,5,2,1,3] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[6,4,7,5,2,1,3,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,3,1,4,7,5,2,8] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[6,3,1,4,8,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[8,6,3,1,4,7,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[8,5,7,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[1,8,2,5,7,6,4,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[6,3,8,7,4,1,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,3,7,4,1,5,2,8] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[7,4,1,6,3,5,2,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[6,4,7,5,2,1,8,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[1,6,4,7,5,3,8,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,3,5,2,7,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[5,7,4,2,6,3,1,8] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[4,2,6,3,5,7,1,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[2,4,5,8,1,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[6,1,3,7,4,2,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[3,2,6,8,1,5,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[8,2,6,1,5,4,7,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[8,6,2,7,1,5,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[7,6,8,3,1,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[6,3,7,2,8,1,5,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[7,5,2,8,6,1,4,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[2,7,3,8,1,5,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[1,6,8,5,2,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[4,5,3,1,7,2,6,8] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[7,8,1,2,4,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[8,4,1,6,2,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[6,1,3,4,2,8,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[8,1,4,3,5,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[5,2,4,1,3,7,8,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[1,7,4,3,6,8,2,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[8,7,1,3,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[6,3,5,8,7,4,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[8,1,7,6,3,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[3,6,8,5,7,4,1,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[3,8,7,5,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[2,8,7,6,4,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[1,8,7,6,5,3,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[4,6,7,2,5,3,1,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[2,7,3,8,1,6,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[2,6,8,4,1,7,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[3,6,1,8,2,7,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[5,7,4,1,2,8,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,3,7,1,2,8,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[1,2,6,7,8,4,3,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[4,7,1,3,6,8,2,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,3,6,7,4,2,8,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[3,6,4,8,2,7,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[8,7,2,4,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[3,7,8,2,1,6,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[8,7,6,1,4,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[4,8,1,2,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,8,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[3,5,8,4,7,2,6,1] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[3,8,5,4,6,1,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[3,8,5,1,6,4,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[2,8,5,4,6,3,1,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[2,5,8,4,7,3,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,6,4,2,7,8,5,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,5,4,1,6,2,7,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[4,5,8,1,7,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[1,5,8,4,7,3,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[3,6,4,1,7,8,5,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[3,6,4,8,7,5,2,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[1,6,4,3,7,8,5,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,6,4,2,7,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[2,6,4,3,7,1,8,5] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,2,3,4,8,6,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[1,2,4,3,8,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[7,2,8,6,3,4,1,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[7,2,3,8,1,6,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[2,6,4,8,7,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[3,5,8,1,6,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[7,6,1,3,5,8,2,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[7,1,3,2,5,6,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[7,1,3,8,2,6,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,6,1,8,5,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[3,2,6,5,8,4,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[5,3,7,4,8,1,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[4,3,7,1,5,2,8,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[5,4,8,2,6,3,7,1] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,4,8,1,6,3,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[4,1,7,5,2,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[6,8,3,2,1,4,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[2,8,4,7,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,5,2,6,8,3,7,1] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[6,8,5,3,4,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[6,8,4,1,5,3,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,3,4,7,6,2,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[1,8,3,5,2,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[6,8,3,5,1,4,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[6,8,5,4,2,3,7,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[8,1,3,4,2,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[8,1,3,2,5,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[8,1,2,4,5,3,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[10,1,3,2,5,4,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9],[10]] => [10,3,5,7,9,1,2,4,6,8] => 100010000
[6,5,3,8,4,2,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[7,4,5,1,6,2,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[4,7,3,5,6,2,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[6,7,8,4,1,3,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[8,3,6,1,5,7,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[2,5,4,7,8,1,6,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[2,4,6,7,8,1,5,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,4,6,8,1,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[7,4,3,8,6,2,1,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[3,2,7,6,1,8,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[3,2,6,8,1,7,4,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[4,3,6,2,1,8,5,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,6,2,3,7,5,8,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[5,8,3,4,2,1,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[6,4,8,3,2,7,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[5,8,3,7,2,1,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[2,5,6,4,7,1,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[6,4,7,3,8,2,1,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[6,7,4,3,2,1,8,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[1,5,2,8,4,6,7,3] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,5,2,7,4,6,8,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[5,1,2,7,3,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[5,1,2,8,3,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[5,6,3,4,8,7,2,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[6,5,3,4,8,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[4,1,2,7,3,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[7,5,3,8,4,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[8,5,3,7,4,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[5,8,1,2,3,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[7,1,2,8,3,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,1,8,2,3,5,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[6,1,7,2,3,5,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,6,8,2,4,5,7,3] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,8,2,7,4,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[7,1,6,2,3,5,8,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[8,1,6,2,3,5,7,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[8,1,7,2,3,5,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[5,8,3,7,4,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[6,8,7,3,4,5,2,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[1,8,7,2,4,5,3,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[8,7,1,2,3,4,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,6,1,2,3,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[8,1,6,2,3,5,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,8,7,4,6,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[1,8,3,5,7,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,3,4,6,8,5,7,1] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[2,3,5,7,4,8,6,1] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[2,4,6,3,7,8,5,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[5,8,3,1,4,2,6,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[3,8,4,2,6,7,1,5] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[2,4,1,8,5,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[3,5,2,6,7,8,4,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[4,5,1,6,7,3,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[2,8,4,1,7,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[5,2,6,8,1,7,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[5,7,3,2,6,8,1,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[6,7,1,2,3,5,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[3,1,4,8,5,6,2,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[1,6,7,8,9,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[6,7,8,9,1,2,3,4,5,10] => [[1,2,3,4,5,10],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5,10] => 000100000
[6,7,8,1,2,3,4,5,9] => [[1,2,3,4,5,9],[6,7,8]] => [6,7,8,1,2,3,4,5,9] => 00100000
[1,7,8,9,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[1,7,8,9,10,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[5,6,7,8,9,1,2,3,4,10] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 000100000
[5,6,7,1,8,2,3,4,9] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 00010000
[1,6,7,8,2,9,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[1,5,7,8,9,2,3,4,6] => [[1,2,3,4,6],[5,7,8,9]] => [5,7,8,9,1,2,3,4,6] => 00010000
[1,6,7,8,9,10,2,3,4,5] => [[1,2,3,4,5,10],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5,10] => 000100000
[8,6,2,3,5,1,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,4,5,7,3,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,2,3,7,5,4,1,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[8,2,6,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[8,6,1,5,2,4,3,7] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[8,6,2,4,1,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[8,3,6,1,5,4,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[8,3,2,5,7,4,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[8,3,1,7,5,4,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,2,7,4,1,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,6,1,8,7,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[3,8,1,5,7,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[3,4,8,2,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,4,8,7,1,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,1,3,5,7,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[8,2,7,1,4,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,1,7,3,4,6,2,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,3,1,7,2,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[3,8,2,4,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[2,8,3,7,4,6,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[8,2,3,7,1,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,2,7,1,3,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,1,7,2,6,4,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,1,7,5,2,4,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[8,2,3,7,4,6,1,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,4,8,5,7,6,3,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[8,2,4,3,7,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,2,7,3,5,1,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,2,7,4,3,1,5,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[8,2,7,3,1,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[6,2,1,8,7,5,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[8,1,7,3,5,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,1,5,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,1,7,2,4,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,2,4,1,7,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[4,2,8,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,8,2,1,7,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[5,1,8,7,2,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,2,5,4,1,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,1,4,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[4,8,1,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[4,3,8,1,7,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[5,8,6,3,2,1,7,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[5,7,6,3,2,4,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[6,5,7,2,4,3,1,8] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[5,8,1,3,2,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[8,5,1,3,2,4,6,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[7,5,8,2,1,4,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[6,8,1,2,5,7,4,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,1,6,4,2,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[1,5,4,8,2,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,7,8,2,3,5,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[7,4,1,2,6,8,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[6,2,8,1,5,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[7,3,5,4,2,1,8,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,3,2,8,5,6,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[1,7,4,3,6,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[6,7,4,2,1,8,5,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[4,1,2,8,5,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[3,7,6,1,5,2,8,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[1,7,6,2,5,8,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,7,6,5,8,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[3,7,6,2,8,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[2,7,6,1,8,4,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[7,1,2,6,3,5,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[6,7,8,4,2,5,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,1,2,5,7,8,4,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[4,1,2,7,8,5,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[4,7,3,1,2,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[3,7,6,1,5,8,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[3,8,5,6,4,2,7,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[4,2,7,5,8,3,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[5,2,1,4,7,8,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[5,6,2,7,3,4,8,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,1,3,8,5,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[2,7,6,8,5,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[1,6,2,3,5,8,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[7,3,5,1,4,8,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[4,3,8,2,6,7,5,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[5,1,8,6,4,7,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[6,7,2,3,1,5,8,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[7,5,2,3,8,1,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[8,1,7,5,2,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[8,6,3,1,4,2,5,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[4,5,1,6,2,8,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[4,8,3,6,1,7,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[6,2,7,8,3,4,5,1] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[9,2,3,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[1,2,4,3,5,6,7,8,9,10] => [[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => 100000000
[1,2,4,6,8,5,7,3] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[2,1,7,5,8,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[3,8,7,4,6,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[3,8,6,7,5,1,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[4,6,7,8,5,2,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,5,3,8,2,7,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[6,4,7,2,5,8,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,3,8,7,5,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[6,8,4,3,5,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[5,2,4,8,7,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[4,2,5,1,7,8,3,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[2,5,4,1,3,8,6,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[5,1,8,2,4,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,5,4,8,2,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[4,8,3,1,6,7,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[3,4,8,2,6,5,7,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,6,2,4,8,7,1,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[4,7,3,2,6,8,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[7,3,4,6,8,1,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,6,7,2,5,8,1,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[1,5,6,8,3,7,2,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[6,1,5,8,3,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[6,8,1,3,5,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[7,1,2,5,8,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[3,1,7,8,5,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[1,6,2,7,4,8,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[2,7,1,8,4,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[6,7,1,8,3,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,7,2,8,1,3,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[5,1,6,8,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[1,5,7,6,8,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[3,8,6,7,5,1,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[1,6,8,3,2,5,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[2,6,8,1,5,4,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[3,1,2,4,8,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[6,4,1,7,5,3,2,8] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[7,2,5,4,8,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[1,7,2,5,3,8,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[2,4,1,3,6,8,5,7,9] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => 00010000
[7,2,3,8,6,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,3,2,5,8,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[5,3,8,4,1,2,6,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[2,4,8,3,7,1,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[5,2,8,4,1,6,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[7,6,5,2,1,8,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[2,7,5,1,8,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[3,8,7,2,4,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[5,7,1,3,2,4,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[4,2,7,6,3,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[8,4,7,6,3,5,1,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[8,1,7,4,2,3,5,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[4,7,8,3,2,5,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[5,1,6,8,3,7,4,2] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[8,6,5,1,7,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[7,6,4,1,3,5,8,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[8,6,2,7,4,1,3,5] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[6,8,4,7,3,1,5,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[4,8,6,5,1,2,7,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[4,8,6,5,1,2,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[3,4,5,1,7,6,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,8,7,6,5,1,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,4,6,7,1,2,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[5,7,2,6,1,3,8,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[5,8,2,6,1,4,7,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[3,8,7,5,6,1,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[6,8,4,7,2,1,5,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[1,7,3,4,5,2,8,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[4,8,2,1,3,5,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[1,7,2,5,4,3,8,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[2,6,7,3,4,8,1,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[2,1,5,7,4,3,8,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[4,1,8,7,5,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[6,4,1,3,8,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[2,1,7,4,6,8,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[1,7,2,4,6,8,3,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[8,6,4,2,7,3,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[7,4,6,1,2,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,8,6,2,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,7,8,6,2,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[2,1,8,3,5,7,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[3,5,8,1,7,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[2,8,1,3,6,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[2,4,1,5,6,7,8,9,10,3] => [[1,3,5,6,7,8,9,10],[2,4]] => [2,4,1,3,5,6,7,8,9,10] => 010000000
[3,2,4,5,6,7,8,1,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[9,2,1,3,4,5,6,7,8,10] => [[1,3,4,5,6,7,8,10],[2],[9]] => [9,2,1,3,4,5,6,7,8,10] => 110000000
[6,4,3,2,8,1,7,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[6,2,4,3,8,1,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[5,8,4,3,1,6,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,4,3,8,2,7,6,10,1,9] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => [5,4,3,8,2,7,10,1,6,9] => 110100100
[7,6,5,4,3,10,2,9,8,1] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => [7,6,5,4,3,10,2,9,1,8] => 111101010
[6,5,4,10,3,9,8,7,2,1] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => [6,5,4,10,3,9,2,8,1,7] => 110101010
[8,12,7,11,2,4,6,10,1,3,5,9] => [[1,3,5,9],[2,4,6,10],[7,11],[8,12]] => [8,12,7,11,2,4,6,10,1,3,5,9] => 01010001000
[12,11,6,10,5,9,2,4,8,1,3,7] => [[1,3,7],[2,4,8],[5,9],[6,10],[11],[12]] => [12,11,6,10,5,9,2,4,8,1,3,7] => 11010100100
[8,7,6,12,5,11,10,9,2,4,1,3] => [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,5,9,2,4,1,3] => 01010101010
[4,3,2,6,8,10,12,1,5,7,9,11] => [[1,5,7,9,11],[2,6,8,10,12],[3],[4]] => [4,3,2,6,8,10,12,1,5,7,9,11] => 11000010000
[4,8,3,7,2,6,10,12,1,5,9,11] => [[1,5,9,11],[2,6,10,12],[3,7],[4,8]] => [4,8,3,7,2,6,10,12,1,5,9,11] => 01010001000
[6,5,4,10,3,9,2,8,12,1,7,11] => [[1,7,11],[2,8,12],[3,9],[4,10],[5],[6]] => [6,5,4,10,3,9,2,8,12,1,7,11] => 11010100100
[6,5,4,10,3,9,8,7,2,12,1,11] => [[1,7,11],[2,8,12],[3,9],[4,10],[5],[6]] => [6,5,4,10,3,9,2,8,12,1,7,11] => 11010100100
[6,3,7,2,5,4,8,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[5,4,7,3,2,6,8,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,7,2,6,3,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[3,7,5,4,6,2,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[6,8,3,2,1,7,4,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[5,4,3,7,2,8,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,6,5,7,2,8,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[8,2,6,4,3,5,1,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[5,4,2,8,6,3,7,1] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[2,8,7,5,3,1,4,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[2,5,6,3,1,4,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[2,4,7,8,5,3,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,5,3,2,4,1,8,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[6,5,8,7,3,2,4,1] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[2,1,4,7,8,5,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[8,5,6,7,3,1,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[8,7,5,3,2,6,4,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[8,5,3,1,4,6,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,5,1,6,4,3,7,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[6,1,4,3,7,8,2,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,1,2,7,5,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[2,8,3,1,6,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,8,5,6,7,1,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,5,8,1,4,6,7,3] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[8,7,3,4,2,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,4,5,2,3,7,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[4,7,5,2,3,8,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,4,7,5,2,8,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[7,5,1,3,6,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[2,8,4,1,5,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[1,8,4,2,5,7,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[2,8,5,4,1,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[2,5,8,3,7,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[1,8,5,2,4,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,4,6,2,8,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[2,4,6,1,8,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,8,4,5,1,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,5,8,2,7,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[1,8,2,4,5,7,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[1,2,8,3,5,7,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[1,3,8,2,5,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,3,8,1,5,7,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[1,6,2,8,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,6,3,8,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[2,6,3,8,7,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[3,2,8,1,5,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,1,8,2,5,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,8,1,4,5,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[2,3,6,8,7,5,1,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,1,6,8,7,2,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[3,8,4,5,1,6,2,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[8,1,4,7,6,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[5,3,8,6,2,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[8,3,6,1,5,7,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[6,8,1,4,5,2,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[1,5,8,4,6,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[2,1,6,5,3,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[8,2,1,5,3,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[4,7,8,1,2,6,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[8,7,1,5,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,6,5,8,7,2,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[5,1,2,7,6,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,1,7,2,5,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,7,6,5,8,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,6,8,5,7,2,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[7,5,1,2,6,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,1,5,2,7,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,7,3,2,4,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[5,1,2,6,8,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[1,8,6,2,5,7,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[5,7,8,1,2,6,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[8,1,5,7,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[7,1,6,8,5,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,3,1,2,7,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[1,5,8,7,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[7,8,6,1,5,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[9,2,3,4,5,6,7,8,1,10] => [[1,3,4,5,6,7,8,10],[2],[9]] => [9,2,1,3,4,5,6,7,8,10] => 110000000
[1,10,3,4,5,6,7,8,9,2] => [[1,2,4,5,6,7,8,9],[3],[10]] => [10,3,1,2,4,5,6,7,8,9] => 110000000
[7,8,6,3,1,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,8,1,3,4,5,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,7,4,8,2,5,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,1,8,2,4,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,3,2,8,1,5,4,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[3,5,4,1,7,2,6,8] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[6,4,7,3,2,5,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,6,5,3,8,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[3,1,2,7,6,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[6,3,2,8,4,5,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,1,8,3,5,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[3,8,5,2,4,6,1,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[1,6,4,8,3,5,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,5,4,8,6,3,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[4,8,2,5,3,7,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[3,8,4,5,2,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[5,7,8,4,6,3,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,3,2,8,6,4,7,1] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,8,7,3,6,2,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[7,3,5,4,2,8,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[5,6,1,3,2,4,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[4,3,7,2,1,8,6,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,6,7,2,1,3,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,6,2,3,1,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[3,6,4,2,5,1,7,8] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[3,6,2,7,5,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[2,5,7,3,4,1,6,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[2,3,5,8,6,4,7,1] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[2,4,7,3,8,6,5,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[3,4,2,7,5,8,6,1] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,1,5,4,7,8,6,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[4,5,7,2,3,1,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[2,5,8,7,4,1,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[2,6,4,7,5,3,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,3,5,1,4,2,8,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[5,4,7,1,3,2,8,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[6,1,4,7,5,3,8,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,1,8,4,7,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[4,7,3,6,1,2,8,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[5,2,1,7,4,3,8,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[7,6,8,2,5,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[2,3,6,1,8,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[6,4,1,7,5,2,8,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[5,7,8,2,3,6,1,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[4,8,7,1,2,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[2,8,7,4,1,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,6,2,1,5,7,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[4,7,3,1,8,5,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[2,6,4,5,7,3,8,1] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[6,1,4,5,8,3,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,1,8,5,3,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[4,1,5,6,8,3,7,2] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[6,4,1,8,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,1,2,3,4,5,6,7,10,9] => [[1,2,3,4,5,6,7,9],[8,10]] => [8,10,1,2,3,4,5,6,7,9] => 010000000
[1,7,2,3,4,5,6,9,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[1,3,8,5,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[2,8,3,7,6,1,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[1,3,8,7,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[5,2,6,7,8,1,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[4,5,6,8,1,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,5,8,6,1,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[1,4,6,8,7,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[4,5,3,8,1,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[1,6,5,7,8,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,5,4,8,1,3,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,3,7,5,2,4,8,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[8,1,2,7,4,5,3,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[2,5,7,4,6,1,3,8] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[6,1,7,4,5,3,8,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[8,2,7,3,1,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,6,4,8,3,1,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[8,1,3,7,5,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,2,5,3,8,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[6,1,3,7,4,2,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[8,5,3,4,2,7,1,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[1,3,8,2,5,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,6,7,3,8,5,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[8,7,2,4,6,1,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[7,8,6,5,2,4,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[3,6,7,5,2,8,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[5,4,6,7,8,1,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,3,6,7,8,1,4,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,3,7,6,8,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[7,5,3,2,8,6,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[5,4,8,6,7,2,3,1] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,4,8,6,3,1,2,7] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[4,5,7,3,6,2,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,5,6,3,8,2,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[5,4,8,7,2,1,3,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[2,5,4,7,8,1,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[5,3,6,4,8,2,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,3,7,4,6,2,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[8,2,4,7,3,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,5,6,2,7,3,8,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,4,6,2,8,3,7,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[8,4,6,1,7,2,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[5,2,1,6,3,8,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[4,5,6,3,7,1,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,3,1,5,2,8,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[3,8,4,1,5,2,6,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[5,3,4,2,7,1,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,7,5,4,1,2,6,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[4,2,5,1,3,8,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[4,3,5,1,2,7,6,8] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[3,1,7,2,5,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,7,2,4,1,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[7,3,2,1,6,4,5,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[2,8,6,1,7,4,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[2,5,4,6,1,3,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,5,6,4,1,3,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[8,5,2,6,1,3,7,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[7,1,5,6,3,2,4,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[2,4,1,6,5,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[4,1,2,7,5,6,3,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[7,1,2,6,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[8,2,1,5,6,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[6,1,4,5,3,2,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[5,8,3,1,7,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[7,6,3,2,8,5,1,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[5,6,3,8,7,4,1,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[5,2,6,8,7,4,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[6,3,8,5,4,1,2,7] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[6,3,8,4,5,1,2,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[5,2,3,1,4,8,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[5,4,1,3,2,8,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,2,1,4,3,8,6,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[4,7,3,2,8,5,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,3,7,2,8,5,6,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[5,4,3,1,2,8,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,2,3,4,1,8,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[5,1,7,3,4,6,8,2] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,8,7,4,3,1,6,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[6,8,1,3,4,5,7,2] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[3,1,7,8,2,5,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[6,3,7,4,1,2,5,8] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[3,7,2,8,6,5,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,6,7,5,1,2,4,8] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[7,4,5,1,8,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[7,2,3,1,8,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,1,4,8,3,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[1,2,7,8,4,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[5,3,7,8,4,2,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[6,3,7,8,2,4,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[7,5,4,2,3,1,8,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[3,5,4,6,7,1,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[1,4,2,6,5,8,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[1,6,2,5,3,8,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[2,5,1,4,3,8,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[1,7,3,5,4,8,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,8,2,6,3,7,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,8,3,6,4,7,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,7,2,6,3,8,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,4,2,8,5,7,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,8,4,7,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,3,1,4,2,6,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[6,8,7,3,5,2,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[8,3,5,1,2,6,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[8,6,3,1,5,4,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[8,6,5,4,1,3,2,7] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[5,3,8,7,4,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[2,3,8,7,4,6,1,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[6,8,7,3,1,5,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[6,8,5,4,1,3,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[3,8,7,5,1,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[2,3,8,7,5,6,1,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,8,7,1,3,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[6,8,7,3,5,2,1,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[3,5,8,6,4,2,7,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[6,8,4,1,5,2,7,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[6,8,2,1,7,5,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[2,4,8,6,5,1,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[4,8,7,6,5,2,1,3] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[4,8,7,5,1,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[4,5,2,1,8,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,7,2,8,4,6,1,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[6,7,3,2,4,8,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[8,7,2,6,5,1,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[5,2,7,8,4,1,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[2,7,8,6,4,1,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[7,6,3,5,2,8,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[6,2,7,4,8,5,3,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[1,6,8,3,7,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[3,5,2,6,4,8,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,2,4,8,1,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[6,3,8,2,4,1,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,3,8,7,5,4,2,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[6,8,4,2,1,7,5,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[5,2,6,4,3,8,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[3,8,1,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,1,7,6,4,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[7,2,6,3,8,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[1,7,5,8,2,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,1,5,2,4,8,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,7,1,3,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[2,6,7,4,3,8,5,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[1,5,8,7,2,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,4,8,7,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,3,7,2,5,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,2,6,1,5,8,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[7,2,8,1,4,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[1,7,8,3,2,6,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[6,1,5,4,3,8,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,7,4,5,6,8,2,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[2,3,4,5,6,7,9,8,1,10] => [[1,3,4,5,6,7,8,10],[2],[9]] => [9,2,1,3,4,5,6,7,8,10] => 110000000
[1,3,4,5,6,7,8,10,9,2] => [[1,2,4,5,6,7,8,9],[3],[10]] => [10,3,1,2,4,5,6,7,8,9] => 110000000
[1,6,4,2,3,5,7,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,8,7,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 1100000
[1,5,8,6,2,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,6,5,7,2,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,7,5,6,2,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,3,2,7,6,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,2,3,7,6,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[1,5,4,2,3,7,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,5,4,2,3,8,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,3,2,8,6,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,7,5,8,2,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,8,7,5,2,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[2,1,5,8,6,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,5,8,4,6,1,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,3,2,8,6,1,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,8,4,6,1,3,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[5,3,8,6,1,4,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[2,6,5,4,8,1,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,4,6,8,5,3,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,4,8,1,7,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[3,8,4,1,5,7,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[4,3,6,8,5,2,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[8,5,4,7,2,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[3,6,8,5,4,2,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[3,6,4,8,5,2,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[3,6,4,1,5,2,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[6,5,7,4,1,3,8,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[2,4,6,3,5,7,8,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[3,6,4,2,5,7,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => 1110000
[4,3,6,2,5,7,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[2,6,4,1,5,7,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,4,1,6,5,7,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[7,5,4,2,6,1,8,3] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[5,3,6,4,8,2,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[7,3,2,5,1,8,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[5,7,3,2,6,1,8,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,7,3,2,6,4,1,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[2,7,5,3,1,8,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,5,2,8,4,3,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,3,2,4,1,8,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[4,3,7,5,8,2,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,3,5,2,8,6,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[1,2,3,4,5,9,7,8,6] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[1,2,8,6,4,5,7,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[1,8,5,3,4,6,7,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[10,2,3,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[1,2,3,5,7,4,6,9,8] => [[1,2,3,4,6,8],[5,7,9]] => [5,7,9,1,2,3,4,6,8] => 00100000
[1,2,3,4,6,8,5,7,10,9] => [[1,2,3,4,5,7,9],[6,8,10]] => [6,8,10,1,2,3,4,5,7,9] => 001000000
[1,2,3,4,6,8,5,7,9] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 01000000
[1,2,3,4,7,5,8,6,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[1,2,5,7,3,4,6,9,8] => [[1,2,3,4,6,8],[5,7,9]] => [5,7,9,1,2,3,4,6,8] => 00100000
[3,2,6,4,1,8,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,8,6,5,3,1,4,7] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[5,4,8,6,2,3,1,7] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[3,4,2,8,7,5,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[8,5,7,6,3,2,4,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[6,4,1,8,7,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[1,8,5,4,2,7,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,3,2,7,4,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[7,1,6,2,3,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,4,7,1,3,2,8,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[8,7,1,6,2,5,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[3,8,5,2,4,7,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[7,1,5,2,4,8,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,5,8,1,6,3,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[2,3,1,9,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[3,9,1,2,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[6,8,1,9,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8,9]] => [6,8,9,1,2,3,4,5,7] => 00100000
[1,8,2,3,4,5,6,7,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 10000000
[7,4,6,1,3,2,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[4,5,2,6,7,3,1,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,2,6,3,1,7,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[4,3,5,1,6,7,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[5,7,6,1,2,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[3,6,7,5,1,2,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[1,7,6,8,5,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[5,7,6,8,1,2,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[5,6,3,7,1,4,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,3,2,1,8,6,4,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[10,9,8,7,5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => [10,9,8,7,5,4,3,2,1,6] => 111111110
[1,8,7,6,5,4,3,2,9] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => 11111100
[1,9,8,7,6,5,4,3,2,10] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2,10] => 111111100
[6,5,8,3,7,2,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[7,8,5,3,6,2,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[7,8,5,3,6,2,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[5,4,3,8,2,1,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[6,4,8,3,2,1,7,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[1,8,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,8,6,7,3,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,8,4,3,2,7,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[5,4,3,8,2,1,6,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[1,8,4,3,2,5,7,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,5,6,7,8,1,2,9,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[4,5,6,7,1,2,8,9,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[4,5,6,1,2,7,8,9,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[4,5,1,2,6,7,8,9,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[6,4,2,3,5,1,8,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[5,2,3,6,1,4,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[7,2,3,4,5,8,1,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[7,2,8,1,5,3,4,6] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[3,8,6,4,7,2,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[2,1,8,6,4,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[4,8,2,5,7,3,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[5,8,2,3,4,7,1,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[6,3,4,7,8,2,1,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[4,6,8,5,2,7,3,1] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[3,7,8,5,2,6,4,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[3,8,6,2,7,4,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[7,3,6,2,8,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[8,1,5,2,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,4,2,3,7,8,5,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[8,4,2,3,6,7,1,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,5,8,3,7,2,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[3,7,2,8,4,5,1,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[4,2,1,5,6,8,3,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,1,2,6,5,8,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[4,2,7,5,8,1,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[4,6,2,7,8,3,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,6,1,3,8,2,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,3,6,2,1,8,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,7,4,5,1,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,6,4,5,8,2,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,1,4,5,2,8,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[1,5,4,8,6,3,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[8,3,7,4,1,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,5,4,1,6,3,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[1,7,4,2,6,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[8,2,1,5,6,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[4,1,8,5,6,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,7,4,8,6,2,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,3,6,8,2,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[6,3,7,4,8,2,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[5,3,6,1,4,7,2,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[4,3,6,8,2,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[5,3,7,4,8,2,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,3,8,4,1,6,2,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[5,8,4,1,6,3,2,7] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[1,5,8,3,6,7,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,8,2,5,6,7,3,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[6,3,8,1,5,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[8,3,1,2,5,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[8,1,4,2,6,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[7,8,1,2,3,4,5,9,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[2,8,9,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[2,8,9,10,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8,9,10]] => [2,8,9,10,1,3,4,5,6,7] => 000100000
[7,1,8,2,9,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[6,1,7,2,8,3,9,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[5,1,6,2,7,3,8,4,9] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 00010000
[8,1,9,2,10,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 001000000
[7,1,8,2,3,9,4,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[7,1,8,2,9,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[6,1,7,2,8,3,4,9,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[5,1,6,2,7,3,8,4,10,9] => [[1,2,3,4,9],[5,6,7,8,10]] => [5,6,7,8,10,1,2,3,4,9] => 000010000
[4,1,5,2,6,3,8,7,10,9] => [[1,2,3,7,9],[4,5,6,8,10]] => [4,5,6,8,10,1,2,3,7,9] => 000010000
[5,1,3,7,4,8,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,1,3,4,7,8,2,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,1,7,8,3,4,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[2,5,4,8,3,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,6,8,2,3,4,1,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[2,3,5,7,4,6,8,1] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[3,7,4,5,8,1,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[3,7,8,1,4,5,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[4,8,1,3,7,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[2,4,7,8,5,3,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[5,3,1,4,7,2,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[2,4,7,5,8,3,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[3,7,8,4,1,5,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[1,8,5,7,2,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,8,5,4,2,3,6,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,3,6,8,5,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,8,2,3,6,7,5,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,6,5,4,3,8,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,8,3,4,5,6,2,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,8,3,6,2,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,2,7,8,4,5,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[7,2,8,5,6,3,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,2,8,7,5,4,1,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[6,2,8,4,3,7,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[5,2,8,4,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[1,2,5,4,8,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[3,2,5,7,6,8,1,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[5,3,2,6,8,4,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,3,2,8,7,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[5,3,8,2,7,6,1,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[6,5,4,8,3,7,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => 1111010
[4,3,8,7,2,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[7,8,5,2,1,6,4,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[3,8,5,6,2,7,1,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[2,4,5,8,7,3,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,4,5,8,6,7,1,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[4,3,1,5,6,2,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,1,5,8,6,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[4,3,7,6,1,2,8,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[4,7,5,6,1,2,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[4,3,7,5,6,2,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,4,5,8,6,7,2,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[4,7,1,5,6,2,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[5,3,8,6,4,7,2,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[3,6,4,7,2,1,8,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[3,8,4,6,1,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,8,5,6,4,7,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[3,8,4,5,6,7,2,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 1110000
[3,8,6,5,1,7,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[6,4,1,7,3,2,8,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,5,4,7,1,3,8,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[2,1,6,5,3,7,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,1,4,7,2,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[2,1,3,4,5,6,8,9,7] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[2,1,3,4,5,6,7,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,3,1,4,5,6,8,9,7] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[2,3,1,4,5,6,7,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[1,3,2,4,5,6,7,9,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[2,1,3,4,5,6,7,8,10,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[1,6,2,5,4,8,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[4,1,2,7,5,8,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,1,3,5,8,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[5,6,4,3,1,8,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[6,2,3,5,8,1,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[6,7,2,3,8,4,5,1] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[6,7,2,1,3,8,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[5,7,4,1,8,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[4,1,7,5,8,3,6,2] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[6,7,1,3,8,4,5,2] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,6,7,4,3,8,5,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,1,7,4,2,8,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,7,3,2,1,8,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,7,3,2,8,4,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[1,2,6,7,4,3,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[2,7,1,8,4,6,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[2,7,5,8,1,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[6,7,1,8,4,5,3,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[8,3,7,6,1,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,7,3,4,6,2,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,2,5,7,1,4,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[8,2,4,7,1,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,7,4,6,5,2,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[8,4,6,7,5,1,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[8,3,5,7,6,1,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,7,3,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[8,7,3,4,6,2,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,7,4,6,5,2,1,3] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[8,6,5,2,7,4,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[8,4,3,7,6,5,1,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[8,5,6,7,4,1,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[8,5,7,6,4,1,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,3,4,2,7,5,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[8,4,7,6,5,1,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,3,5,2,7,4,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[8,5,2,6,7,4,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[8,5,3,7,6,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[8,6,2,4,7,3,1,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,5,2,3,7,4,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[8,5,3,2,7,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[8,6,1,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[2,4,5,8,3,1,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[2,4,3,8,5,1,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[7,8,3,2,5,4,6,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[1,5,6,7,3,8,2,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[1,6,5,4,8,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,7,3,5,8,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,2,1,6,4,8,5,3] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[3,8,7,2,4,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,1,8,7,6,4,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[3,1,8,7,5,4,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[3,1,7,6,5,4,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[8,4,1,7,6,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[5,4,1,8,6,3,2,7] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[6,4,1,8,5,3,2,7] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,5,6,1,4,3,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[5,8,6,1,4,3,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[6,7,5,1,4,3,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[8,7,5,1,4,3,2,6] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[8,6,5,1,4,3,2,7] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[3,1,6,4,5,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[7,6,3,8,4,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,2,7,6,1,4,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[5,2,7,8,1,4,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[8,2,7,6,1,4,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[5,2,3,4,7,1,6,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[5,2,3,7,1,6,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[8,7,5,3,1,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[1,4,7,8,5,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[5,8,3,7,6,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[4,7,5,8,2,1,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[8,1,2,7,5,4,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[7,8,1,5,4,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[3,4,6,8,1,5,7,2] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[7,6,3,1,2,8,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[1,7,5,2,6,4,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,2,5,7,8,4,6,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[3,1,2,7,5,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[6,7,4,1,3,2,8,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[1,7,2,8,4,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,6,3,5,7,8,2,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[7,6,4,1,8,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[8,4,1,6,5,2,7,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[1,5,3,4,7,8,2,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[4,2,1,5,7,8,3,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[5,4,1,6,7,8,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,1,5,3,7,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[8,1,4,6,5,2,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[7,1,5,4,6,3,2,8] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[8,2,1,6,7,5,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[1,2,4,7,6,3,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[6,7,4,1,8,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,1,5,4,8,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,2,8,7,4,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,3,6,4,7,8,2,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[4,5,1,3,7,8,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[1,6,4,3,7,8,2,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[8,4,6,5,1,2,7,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[1,5,6,3,7,8,2,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[6,7,1,2,3,4,8,9,5] => [[1,2,3,4,5,9],[6,7,8]] => [6,7,8,1,2,3,4,5,9] => 00100000
[1,5,2,4,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[8,6,5,7,2,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[1,6,3,8,4,5,7,2] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[7,5,4,2,6,3,8,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[7,8,6,5,4,3,2,9,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[2,3,8,4,7,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[3,7,2,8,6,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[4,3,7,8,6,2,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[3,8,1,7,5,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,4,8,5,1,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[8,2,4,6,3,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,5,3,8,2,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,5,6,7,8,9,2,1,3] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[5,6,7,8,9,2,1,3,4] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 10010000
[6,7,8,9,2,1,3,4,5] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 10001000
[8,2,1,4,5,6,7,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[7,3,1,2,5,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[7,8,2,1,5,4,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[1,4,8,5,2,6,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[5,2,3,7,8,1,6,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[1,2,7,5,3,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[3,5,8,6,1,4,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[1,8,4,2,7,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[7,3,8,1,6,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[7,3,8,2,6,5,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[8,1,3,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[2,4,1,8,7,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[7,3,8,6,1,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[3,5,1,7,8,2,6,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[5,4,7,8,2,1,6,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[6,3,8,7,1,5,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[3,4,6,2,1,8,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[5,6,4,8,3,2,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,7,4,8,2,1,6,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,7,4,2,6,3,8,1] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,7,4,1,6,2,8,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[8,5,6,1,7,3,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[4,5,1,6,7,8,3,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,5,2,6,1,3,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[7,1,4,6,8,3,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[6,7,1,2,4,8,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,6,3,4,7,8,5,2] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[2,3,6,4,7,5,8,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,8,1,3,4,5,6,2] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,8,2,6,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[4,7,3,2,8,1,5,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[7,1,2,6,3,8,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,1,2,6,3,7,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,1,2,7,6,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[4,8,7,3,1,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[4,7,8,3,1,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[3,7,6,2,4,8,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[4,3,7,2,8,6,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[6,1,2,7,4,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[5,1,2,6,3,8,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,1,2,7,3,8,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,1,2,7,3,5,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[7,5,3,2,1,8,6,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[4,2,1,5,3,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[8,6,4,3,2,1,9,7,5] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => 11101010
[7,5,3,1,8,6,4,2,9] => [[1,2,9],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9] => 01010100
[7,4,1,8,5,2,9,6,3] => [[1,2,3],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3] => 00100100
[5,3,1,6,4,2,7,8,9] => [[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => 01010000
[4,1,5,2,6,3,7,8,9] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[3,1,4,2,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[9,7,5,4,3,2,1,10,8,6] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => 111101010
[7,5,3,1,8,6,4,2,9,10] => [[1,2,9,10],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9,10] => 010101000
[7,4,1,8,5,2,9,6,3,10] => [[1,2,3,10],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3,10] => 001001000
[5,3,1,6,4,2,7,8,9,10] => [[1,2,7,8,9,10],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9,10] => 010100000
[5,1,6,2,7,3,8,4,9,10] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 000100000
[4,1,5,2,6,3,7,8,9,10] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 001000000
[3,1,4,2,5,6,7,8,9,10] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[6,2,5,4,1,8,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[4,6,3,2,1,8,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[6,5,3,2,1,8,7,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[8,4,3,2,7,6,1,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[3,2,7,4,8,6,1,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[7,4,3,2,8,6,1,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[6,8,3,7,5,2,1,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[5,7,8,4,3,2,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[8,2,5,4,7,6,1,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[7,2,5,4,8,6,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[4,5,3,2,8,6,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,2,5,4,8,6,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[6,8,7,4,3,2,1,5] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[6,3,2,1,8,7,4,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,2,3,1,8,7,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[7,2,5,1,8,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[7,3,1,5,2,8,6,4] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => 0100100
[3,7,4,1,5,8,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[5,8,6,1,2,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[6,8,1,4,3,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[6,7,1,4,3,8,5,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[4,7,1,5,3,8,6,2] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[7,1,6,4,8,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[8,6,4,1,3,7,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,5,3,6,1,7,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[7,2,1,4,5,8,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[8,5,6,1,2,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[8,6,2,5,4,7,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[2,8,4,1,3,6,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[8,1,2,4,5,6,7,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[6,1,4,3,2,7,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,2,8,3,7,4,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,9,2,3,4,5,6,7,8,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 100000000
[8,2,6,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[8,2,7,6,4,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[8,7,3,5,4,2,6,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[12,10,9,8,7,6,5,4,3,2,1,11] => [[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]] => [12,10,9,8,7,6,5,4,3,2,1,11] => 11111111110
[4,6,7,2,1,8,3,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,7,1,8,2,5,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[4,5,8,6,2,7,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,6,7,2,1,8,5,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,2,5,6,7,8,3,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,1,3,5,6,7,8,2] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => 1100000
[3,7,8,4,5,1,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[4,6,8,3,2,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,8,1,7,4,5,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[4,5,8,3,7,1,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[3,7,8,4,6,2,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[3,6,1,5,7,8,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[3,8,2,5,4,7,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[3,8,6,2,5,1,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[4,5,8,6,2,1,7,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,5,8,6,1,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[4,6,8,5,2,7,1,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[3,7,8,5,2,6,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[3,7,8,5,4,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => 1010100
[4,6,8,5,3,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[4,6,5,2,7,8,1,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,7,3,1,2,4,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[6,3,2,5,1,7,4,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,1,2,4,8,5,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[3,6,5,8,1,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[1,2,3,4,5,6,8,7,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 10000000
[1,2,3,4,5,6,7,9,8,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 100000000
[9,2,3,4,5,6,7,1,8] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[5,2,7,3,4,6,1,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[1,3,5,8,6,4,7,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,3,5,8,6,7,2,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[6,1,7,4,8,5,3,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[5,7,4,1,3,6,8,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[7,8,1,4,6,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[6,2,7,3,8,5,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[1,2,7,5,3,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[7,2,8,3,6,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[6,2,7,8,3,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[1,7,8,2,5,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,2,8,7,3,4,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,2,7,4,5,1,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,8,1,5,7,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[7,5,4,8,6,1,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[8,7,5,1,4,3,6,2] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[6,8,4,3,1,7,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[8,4,1,3,7,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,8,1,3,7,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[2,1,6,8,5,3,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[1,2,6,8,5,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[5,6,8,7,3,1,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[5,1,4,2,6,8,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[6,3,2,4,7,1,8,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[5,8,6,3,7,1,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[5,7,6,3,8,1,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[1,2,5,3,6,8,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[6,8,7,2,1,5,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,7,3,2,1,4,6,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,5,6,8,4,2,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[5,8,2,6,4,3,7,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[1,7,2,3,5,8,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[2,8,3,7,5,1,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[6,4,8,7,2,1,5,3] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => 0101010
[1,8,2,3,7,5,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[2,8,4,3,6,7,1,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[7,3,2,5,6,1,8,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[1,6,7,8,2,4,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[3,8,4,2,5,1,7,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[2,8,3,5,6,4,1,7] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => 1110000
[7,6,8,3,2,5,1,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[2,7,1,4,5,3,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[1,5,2,7,4,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,3,6,5,2,7,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,7,2,5,6,8,3,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,7,2,4,8,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,6,2,4,5,3,7,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,3,2,8,4,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,6,8,2,4,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,6,7,2,5,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,2,8,3,6,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,7,2,5,3,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[10,3,4,5,6,7,8,9,1,2] => [[1,2,5,6,7,8,9],[3,4],[10]] => [10,3,4,1,2,5,6,7,8,9] => 101000000
[7,1,5,6,2,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[8,2,1,4,6,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[4,1,3,7,2,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,7,5,6,2,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,7,4,3,8,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,1,5,3,4,8,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[3,6,7,5,2,8,1,4] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[7,8,4,1,5,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[5,8,1,3,6,7,2,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[2,8,4,3,7,1,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[3,8,4,6,7,1,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[1,2,5,4,8,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[7,1,3,8,2,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[8,1,3,7,2,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,5,4,7,8,1,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[1,6,4,7,8,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,3,7,8,5,6,2,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[8,1,7,4,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[2,5,8,4,7,1,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[1,8,7,4,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[2,6,5,4,1,8,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,2,5,1,4,8,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,5,4,1,3,8,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,3,5,4,2,8,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[1,3,8,7,4,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,8,4,5,1,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[8,3,1,7,5,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[2,4,1,8,5,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[8,2,1,4,7,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,3,1,7,4,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,2,7,3,1,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[1,8,4,2,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[3,1,2,8,7,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,5,1,2,4,3,7,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[2,8,3,7,4,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,3,1,8,7,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[4,2,8,7,3,1,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[1,3,4,8,7,2,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[8,1,3,4,6,7,2,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,4,8,2,6,7,1,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,6,8,2,5,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[3,8,2,5,7,4,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[6,2,8,5,4,1,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,8,1,5,7,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[3,1,8,2,7,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,5,7,1,6,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[2,8,4,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,4,7,2,1,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[1,8,4,7,6,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,4,7,1,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[3,8,1,2,5,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[4,8,1,6,5,2,7,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[4,2,6,3,8,5,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,5,2,6,7,1,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[8,3,5,4,2,7,1,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[2,8,6,4,7,3,1,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[3,1,8,6,5,2,7,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[8,3,1,5,2,6,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[6,5,3,2,4,8,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[5,2,4,6,1,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[8,3,4,6,7,5,1,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[6,8,3,4,7,5,2,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[5,8,6,1,3,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[3,7,4,6,8,2,5,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[4,5,2,8,1,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[3,7,5,2,8,6,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[4,8,5,2,6,7,1,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,4,6,5,2,7,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[8,1,6,4,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,6,2,3,5,1,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,5,7,4,1,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[7,1,3,5,6,2,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[6,3,8,4,7,1,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[7,1,4,3,2,8,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[5,7,2,1,4,3,8,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[7,1,8,3,5,2,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,2,4,8,1,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,1,8,4,2,5,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[6,4,2,5,8,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[2,1,7,5,8,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[7,3,8,5,6,2,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[2,7,4,8,1,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,4,8,3,1,5,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[2,6,3,5,8,7,4,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[8,6,5,3,7,2,1,4] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[7,4,8,6,5,3,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[7,4,8,5,6,3,1,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[7,8,4,1,3,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,8,3,4,1,5,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,3,1,8,2,5,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[7,2,3,8,1,5,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[6,4,8,7,3,2,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[2,7,4,8,6,3,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[6,4,8,2,3,1,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,2,1,8,3,5,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[7,3,6,2,8,4,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[7,5,4,8,1,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[4,3,5,8,2,1,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[6,4,7,2,3,1,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,8,6,3,5,1,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,2,8,5,4,6,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[5,6,4,3,7,1,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[6,5,3,7,2,4,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,6,2,8,4,3,7,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[4,6,2,7,8,3,5,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[5,1,2,4,6,7,8,3] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[4,6,3,5,2,8,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,6,3,4,8,2,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,8,4,6,3,2,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,4,3,8,6,2,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,7,8,2,4,3,6,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,6,2,4,8,3,7,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[6,4,7,8,2,3,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[4,7,5,2,3,8,6,1] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,4,7,3,2,5,8,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[5,7,3,2,8,4,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,3,7,2,8,4,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[4,3,7,2,5,8,6,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,7,3,2,5,8,6,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,7,3,2,6,8,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[7,5,3,2,6,4,8,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[8,5,2,6,7,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[8,4,2,6,3,7,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[7,5,6,2,8,3,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[5,7,6,2,8,3,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[7,6,3,2,5,8,1,4] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[6,3,8,5,4,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[1,3,2,4,5,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => 10000000
[1,3,2,4,5,6,7,8,9,10] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => 100000000
[2,4,6,3,8,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,4,3,6,8,7,1,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,4,6,3,8,7,1,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,4,6,5,8,7,1,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[2,4,6,8,5,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,4,6,8,5,7,1,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[2,4,6,8,3,7,1,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,4,6,8,1,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,6,5,8,3,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,4,6,5,8,1,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[2,4,6,8,5,1,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[2,4,6,8,7,3,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,4,6,8,7,1,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,4,6,8,7,1,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[2,4,6,8,5,1,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,6,5,1,8,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[2,4,6,5,3,8,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,4,6,5,8,3,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,4,6,8,5,3,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,4,6,8,7,3,1,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,4,6,8,7,5,1,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[1,6,3,5,8,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[6,1,2,7,8,4,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[5,6,3,1,7,4,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[4,8,3,7,1,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[8,7,2,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => 1111010
[5,8,3,2,1,7,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[5,4,3,8,1,7,6,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[6,5,3,8,7,1,4,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[4,3,8,2,7,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[4,8,2,7,6,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[7,8,2,6,5,4,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[3,8,7,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[4,8,3,7,2,1,6,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[8,6,3,1,7,5,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[8,6,3,7,1,5,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[4,8,3,7,6,2,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[5,8,2,7,6,4,1,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[8,4,2,1,7,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[1,8,6,2,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,6,3,2,4,5,7,8] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,5,2,4,6,3,7,8] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => 1100000
[1,8,6,2,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,5,2,8,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,7,2,3,8,5,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,3,8,4,2,5,6,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,6,2,8,5,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,7,2,3,8,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,5,3,8,2,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[1,4,8,2,5,6,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,5,7,3,2,8,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,2,7,3,6,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,7,2,3,6,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,7,2,5,8,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[3,2,9,4,5,6,7,8,1] => [[1,4,5,6,7,8],[2,9],[3]] => [3,2,9,1,4,5,6,7,8] => 10100000
[2,9,3,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[9,2,3,4,5,6,7,8,10,1] => [[1,3,4,5,6,7,8,10],[2],[9]] => [9,2,1,3,4,5,6,7,8,10] => 110000000
[5,2,4,8,1,6,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[2,10,3,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[2,6,4,5,7,3,1,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[1,3,7,5,6,8,4,2] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[1,3,6,7,4,5,8,2] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,5,6,3,4,2,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[1,5,3,6,4,2,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[1,5,3,7,4,6,2,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,5,7,3,6,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[6,7,3,1,8,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[4,6,3,5,8,2,1,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[8,5,3,6,2,1,7,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[4,5,7,3,1,2,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[4,5,1,8,3,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[5,7,4,6,3,2,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[7,5,2,3,1,8,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,3,1,2,4,8,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[4,7,5,2,3,6,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[7,2,6,5,3,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[8,2,6,5,4,1,3,7] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[6,2,8,4,5,1,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[3,7,8,5,1,4,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[4,5,3,8,2,1,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[3,7,2,1,8,4,6,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[8,7,1,6,5,2,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[3,5,7,8,2,4,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[7,8,2,5,4,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[4,5,3,7,8,2,6,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[1,5,4,7,3,6,2,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[4,6,8,2,7,3,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[7,8,3,6,1,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[2,5,7,8,4,6,1,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[3,7,5,6,2,1,4,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[1,2,6,4,7,5,3,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[7,5,6,3,8,4,2,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[8,5,4,2,1,6,7,3] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[2,6,8,4,7,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[6,7,5,1,4,8,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[5,8,2,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[1,6,5,7,3,8,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,5,6,8,4,2,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[7,5,4,1,8,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[6,4,1,8,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[7,8,5,3,2,6,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[6,7,4,3,8,2,5,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[3,4,2,7,8,6,1,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[7,8,6,1,4,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[2,4,7,8,6,1,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[3,7,8,6,5,2,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[4,5,2,7,8,6,3,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[4,6,2,5,3,1,7,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,1,5,6,3,2,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[2,6,7,5,4,1,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[6,7,4,3,1,5,2,8] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[1,7,5,6,4,3,2,8] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[7,6,5,3,1,8,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[4,5,7,3,8,6,1,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[6,8,5,3,7,2,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[4,7,1,5,8,2,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[2,7,5,8,3,6,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[7,4,8,2,6,5,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[7,5,4,8,2,6,3,1] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[8,3,4,1,2,6,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[7,3,4,8,5,2,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,3,8,4,1,5,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[7,2,4,5,1,8,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[7,3,1,2,8,5,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[4,8,2,3,5,7,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,5,2,3,8,6,7,1] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[6,7,4,8,5,3,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[4,3,5,6,1,7,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,5,2,6,4,7,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[4,1,2,8,5,7,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[3,1,5,6,4,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[2,6,4,5,8,1,3,7] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => 1001000
[6,4,1,3,5,8,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[3,4,1,7,2,6,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[2,4,7,5,8,1,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[3,7,6,2,1,5,8,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[4,2,6,1,3,7,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[8,5,4,2,7,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[2,8,4,6,7,1,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[5,8,2,1,4,6,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[8,4,6,1,2,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[5,6,2,8,7,1,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[7,1,3,8,4,5,6,2] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,8,1,4,3,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[3,6,7,2,8,1,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[2,6,7,1,3,5,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[3,6,7,1,8,2,5,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[3,4,1,8,7,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[3,1,5,7,2,8,6,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[4,8,1,3,2,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[4,1,8,3,2,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,8,2,4,7,1,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,2,4,8,7,1,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[3,2,5,7,1,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[4,2,8,3,1,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,8,2,1,3,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,2,8,1,3,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[5,6,4,7,1,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[4,6,7,5,8,2,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,2,7,6,8,1,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[4,5,1,7,6,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[6,7,2,8,3,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[7,8,5,2,4,1,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,6,2,3,1,8,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[4,2,5,1,3,7,8,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[3,4,1,7,8,5,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[4,1,3,7,8,5,2,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[4,3,1,8,5,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[7,6,3,5,8,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => 1111100
[4,5,1,3,2,7,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[5,1,3,2,4,7,8,6] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[8,3,5,6,1,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[4,5,8,1,2,6,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,3,6,7,8,2,1,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[1,3,4,8,6,2,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[7,2,4,1,3,8,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[4,6,8,2,3,7,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[4,5,7,2,3,6,1,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[6,7,2,3,4,8,1,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[3,5,2,4,6,7,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[4,2,6,3,5,7,8,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[2,3,4,5,6,1,8,7,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[1,4,8,5,6,2,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[2,8,7,4,5,1,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[1,3,8,5,2,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[7,2,8,4,5,1,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[8,6,2,4,1,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[1,6,4,3,2,7,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[8,5,3,2,1,6,7,4] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[1,7,5,2,3,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[7,1,5,2,3,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[8,1,2,5,3,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[6,7,5,3,8,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,2,6,8,3,7,1,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[4,2,5,8,6,7,1,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,8,6,3,4,1,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[2,4,7,8,5,1,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,5,3,8,4,1,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[2,4,8,3,5,7,1,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[8,1,7,2,4,3,5,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[1,3,8,2,4,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,3,7,2,4,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,7,3,2,4,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[8,7,3,1,4,2,5,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[2,8,4,3,5,7,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[3,2,8,7,4,1,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,2,1,7,4,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[3,2,6,5,1,7,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[5,3,2,6,7,1,8,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[3,2,8,6,7,4,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[8,4,6,2,7,3,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[4,3,8,6,7,2,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,3,6,2,8,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,8,4,7,6,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[7,8,4,2,6,3,5,1] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[3,2,7,8,6,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[3,2,7,5,6,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[5,7,8,6,3,2,4,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[6,5,4,2,1,7,8,3] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[5,4,2,1,7,6,3,8] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,4,1,6,7,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,2,6,3,8,7,1,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[8,6,1,7,3,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,8,3,6,7,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,6,3,5,2,7,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,5,7,3,2,6,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[5,1,3,7,2,6,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[6,2,4,8,3,7,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[8,7,2,6,3,5,1,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,1,7,6,5,2,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[7,1,5,6,8,2,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[7,6,1,5,2,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[1,6,7,3,5,4,8,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,7,3,5,6,8,4,2] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[1,8,7,6,4,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,2,7,4,6,5,1,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[5,6,7,4,3,1,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[1,6,3,2,5,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,6,8,2,5,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,2,6,4,3,5,7,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,7,4,3,2,6,8,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,3,7,6,2,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,5,2,8,4,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,2,8,5,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,7,3,5,2,8,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[1,5,8,3,2,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[1,4,5,8,2,6,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,4,8,6,5,2,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,5,2,7,6,4,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,2,4,3,8,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,4,3,8,7,2,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[1,3,8,6,2,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,3,8,5,4,2,6,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,3,2,8,7,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,2,8,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[8,3,1,4,6,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[5,8,3,1,2,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[4,8,1,7,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[4,8,1,7,5,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,5,3,2,1,6,4,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[4,8,7,1,5,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[4,8,7,1,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[7,6,8,4,1,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[7,6,8,4,1,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[3,8,7,5,4,1,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,7,6,1,5,2,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[8,6,2,5,3,4,7,1] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[7,8,5,2,4,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,3,8,2,5,4,6,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[8,4,2,5,3,7,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[7,4,8,2,6,3,5,1] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[7,4,8,2,6,3,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[8,7,3,1,6,4,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,7,3,1,6,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,7,3,1,4,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[6,4,1,7,8,5,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[8,7,3,1,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[7,8,6,4,2,5,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[8,1,7,3,5,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,1,7,5,4,6,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,7,3,2,6,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[5,3,1,7,6,4,2,8] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[1,8,6,4,2,9,7,5,3] => [[1,2,3],[4,5],[6,7],[8,9]] => [8,9,6,7,4,5,1,2,3] => 01010100
[7,5,3,2,1,6,4,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[7,6,5,3,1,4,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[1,8,6,4,3,2,7,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[1,8,7,6,4,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[1,9,8,6,4,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8],[9]] => [9,8,6,7,4,5,1,2,3] => 11010100
[1,10,8,6,4,2,9,7,5,3] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 101010100
[8,4,6,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 1111100
[1,4,8,6,7,5,3,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[7,6,2,5,8,4,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[8,6,2,5,7,4,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[8,1,7,6,4,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[7,1,8,6,4,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[1,6,2,7,4,5,3,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,8,2,6,4,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[6,5,7,2,8,3,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[6,3,7,4,8,2,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[6,3,7,4,8,1,5,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[6,7,5,1,4,3,8,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[7,2,1,5,3,8,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[5,8,2,7,6,1,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[5,1,8,7,3,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,2,3,6,7,1,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,2,3,1,5,8,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[8,6,5,4,3,2,1,7,9] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => 11111100
[3,1,2,4,5,6,7,8,9,10] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => 100000000
[9,7,6,5,4,3,2,1,8,10] => [[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8,10] => 111111100
[2,4,8,7,5,3,1,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[2,6,5,1,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,5,1,2,4,3,8,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[4,6,5,3,1,2,8,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[6,8,7,5,3,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[8,7,5,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[8,7,3,4,6,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[2,1,4,8,7,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[4,8,7,3,1,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[8,7,3,4,1,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,7,3,1,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,7,3,2,6,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[2,8,7,3,4,6,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[2,8,7,3,6,5,1,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[2,8,7,1,6,5,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,7,1,2,6,5,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[8,7,1,2,4,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[2,1,8,7,3,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,7,5,1,2,4,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[2,8,7,1,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[2,8,7,3,4,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,8,7,5,6,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,4,8,7,3,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[2,8,7,3,1,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,4,3,1,8,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[2,8,7,5,6,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,8,7,5,3,1,6,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,8,7,5,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,6,8,7,5,1,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[8,7,5,6,1,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,7,1,2,4,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[2,4,8,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,7,2,4,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,8,7,1,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,7,5,3,6,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[8,7,1,4,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,7,3,4,1,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[7,1,2,3,5,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,9,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[7,1,2,4,3,5,6,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[1,9,2,3,4,5,8,7,6] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 11100000
[1,9,2,3,4,5,7,6,8] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[1,10,2,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[7,5,4,2,8,3,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[3,1,6,8,5,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[5,7,2,1,8,4,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[6,3,8,7,4,2,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[7,6,3,2,8,4,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[5,8,3,7,4,2,1,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[4,1,7,3,5,8,6,2] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[5,4,8,1,3,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[4,5,8,2,1,3,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[8,1,3,5,2,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,8,3,5,7,2,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[8,1,4,2,7,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,3,4,5,6,7,8,2,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => 10000000
[2,1,4,5,6,7,8,3,9] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[1,3,4,5,6,7,8,9,2,10] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => 100000000
[1,5,7,3,6,8,2,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[1,3,4,7,6,8,2,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[8,1,3,6,7,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,2,4,7,8,5,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[3,1,4,7,6,8,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[4,1,3,7,6,8,2,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[5,1,7,3,6,8,2,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[5,8,6,2,4,7,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[3,8,2,6,5,7,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[8,7,2,5,6,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[8,7,1,6,4,3,2,5] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[1,8,2,7,5,4,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[3,8,1,7,5,4,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[5,8,6,1,7,3,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[6,7,1,2,8,4,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[2,1,3,8,6,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,4,1,7,6,8,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[2,5,7,1,8,4,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[3,5,7,1,6,8,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[4,5,7,6,1,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[1,5,7,8,6,3,2,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[8,4,6,7,5,2,1,3] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[2,4,8,6,7,3,1,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[5,2,7,8,6,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[2,3,8,7,5,4,1,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[1,3,8,7,5,4,2,6] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[8,2,7,6,4,3,1,5] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[8,1,7,6,4,3,2,5] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[1,3,9,8,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,1,2,4] => 11111100
[1,5,8,4,3,7,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[8,1,7,2,5,6,4,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[8,1,3,5,2,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,6,2,4,3,7,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[2,4,1,6,7,5,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[8,1,4,5,6,2,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[8,1,4,7,6,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[3,5,6,2,8,7,4,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[7,3,1,5,6,4,2,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[8,3,2,5,6,7,1,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[3,4,5,6,2,8,1,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,7,4,2,8,5,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,3,4,1,6,8,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[2,6,3,1,4,7,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[3,7,4,2,5,8,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[2,3,5,1,4,8,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[3,8,7,1,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[3,8,7,1,4,5,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[3,7,4,2,1,8,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[8,3,7,2,4,1,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[8,6,7,2,1,4,3,5] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[8,3,7,5,1,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[7,3,4,6,2,1,5,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[3,4,7,6,1,2,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[8,7,3,5,6,1,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,5,2,7,6,1,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,4,2,5,1,6,7,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,5,3,1,6,4,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[8,7,3,1,4,5,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[8,5,3,7,1,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[7,4,8,2,6,1,5,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[8,5,3,1,6,4,2,7] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[8,7,5,1,2,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,6,4,1,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,7,4,1,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[6,5,3,7,4,2,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[1,6,3,8,4,2,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[4,7,2,5,3,6,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[1,8,3,4,5,2,6,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[1,8,6,4,2,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,2,6,4,1,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[6,1,4,8,3,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[3,1,7,4,2,5,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[1,2,7,4,3,5,6,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[6,1,8,5,2,4,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,8,2,5,1,4,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[4,5,2,1,6,8,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[7,2,8,6,5,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[8,7,2,6,1,4,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[7,6,3,1,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[8,5,3,1,2,4,7,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,2,1,6,5,3,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,8,1,5,6,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[6,8,4,1,5,2,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[3,2,8,1,6,4,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[5,2,1,3,7,6,4,8] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[5,4,1,2,8,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[5,8,4,1,2,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[7,1,2,5,3,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[1,6,7,3,2,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,8,6,3,2,7,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,5,3,7,2,8,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,4,6,2,8,5,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[1,2,5,7,4,6,8,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[3,5,8,6,1,7,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,6,1,7,8,5,3,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,5,8,4,2,1,7,3] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[1,7,8,6,5,4,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[3,6,4,2,5,1,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[4,2,8,5,6,3,7,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[5,7,2,3,4,6,8,1] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[1,8,7,3,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[5,7,1,2,3,8,6,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[7,1,5,8,2,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,6,4,8,2,1,5,3] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[6,1,8,4,2,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[7,3,6,2,1,8,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[1,8,6,4,2,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[5,6,2,1,8,4,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[5,1,6,4,3,8,7,2] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[5,4,6,8,1,3,7,2] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[3,5,2,1,4,6,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[1,3,8,7,5,4,6,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,2,3,4,5,7,9,8,6] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[1,2,3,4,6,9,8,7,5] => [[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => 11100000
[1,2,3,5,9,8,7,6,4] => [[1,2,3,4,6],[5],[7],[8],[9]] => [9,8,7,5,1,2,3,4,6] => 11110000
[1,2,4,9,8,7,6,5,3] => [[1,2,3,5],[4],[6],[7],[8],[9]] => [9,8,7,6,4,1,2,3,5] => 11111000
[6,7,3,4,8,5,1,2] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[7,4,1,8,2,5,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[3,1,7,2,5,6,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[4,1,5,7,3,2,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[6,4,1,7,2,8,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[7,3,1,6,2,8,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[4,8,2,5,3,1,6,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[6,3,4,7,1,8,5,2] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => 0101000
[7,1,3,4,5,6,8,2] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[8,5,2,7,6,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[1,8,3,5,6,2,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[8,3,2,5,6,1,7,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,2,5,1,6,8,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,4,2,7,8,6,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[3,7,6,8,5,2,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[1,7,8,5,2,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[7,6,1,2,5,3,8,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,5,7,3,8,6,2,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[6,7,5,1,8,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[4,3,2,8,7,1,6,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[4,8,3,1,7,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[5,3,8,7,1,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[5,8,7,3,1,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[5,3,8,2,1,7,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[3,8,7,2,6,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[5,4,2,8,1,7,6,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[5,8,4,2,1,7,6,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[5,8,4,7,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[5,4,8,3,1,7,6,2] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => 0101010
[8,5,6,1,4,7,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[3,6,7,5,8,1,2,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[1,6,7,5,8,3,2,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[3,8,6,5,7,4,1,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[5,2,1,6,8,4,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[6,5,8,7,4,2,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[6,8,5,7,4,2,1,3] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[2,7,5,3,6,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[2,7,5,6,3,8,4,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[8,7,5,3,1,4,6,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[5,7,6,1,8,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[3,8,7,2,1,5,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[6,1,7,2,8,4,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[3,7,6,2,8,5,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,1,7,3,8,5,2,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[7,1,8,3,2,5,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[2,7,8,3,1,5,4,6] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[5,8,6,2,7,4,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[2,4,6,7,8,5,1,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,4,6,7,8,3,1,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[5,8,7,3,2,4,1,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[4,6,5,8,7,3,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,3,1,7,2,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[5,6,1,2,8,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,8,7,1,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,5,6,1,7,2,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[7,5,6,1,3,8,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,7,6,1,3,8,4,2] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[6,7,1,4,2,8,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[1,3,6,4,2,5,7,8] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,5,7,8,3,6,2,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[6,8,4,7,3,2,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[6,8,5,4,2,7,1,3] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[3,5,6,1,4,2,7,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[1,6,3,8,4,2,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[7,1,3,2,4,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[4,1,8,2,6,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[4,2,8,3,6,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,3,8,7,2,4,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[2,5,6,3,4,8,1,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,2,4,7,8,6,1,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[7,2,1,3,4,8,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[8,1,6,2,3,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,8,3,4,5,2,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,8,3,6,4,7,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,4,7,2,5,6,3,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[7,3,5,8,2,6,1,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[3,4,8,2,5,1,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[1,7,2,5,8,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[4,1,5,3,6,8,7,2] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[5,8,7,4,6,2,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[1,6,8,3,5,2,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[2,4,7,8,5,6,1,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[4,3,6,5,1,8,2,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[1,5,6,8,7,3,2,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,3,8,6,4,7,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,8,4,7,6,2,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[7,2,3,8,4,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[5,8,4,3,7,2,1,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[6,1,2,8,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[4,5,1,7,6,2,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[6,5,1,8,7,4,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[8,5,3,7,6,1,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[3,8,7,6,1,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[8,3,7,5,4,1,6,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[4,5,3,1,8,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[3,4,8,1,5,2,6,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[3,1,8,5,7,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[6,8,5,3,4,2,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[8,5,2,6,4,3,1,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,5,2,6,1,4,7,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[3,2,6,7,1,8,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,4,6,7,8,2,1,5] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[6,7,1,8,5,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[1,6,7,4,8,3,2,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,1,8,7,2,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,6,1,2,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[3,6,8,2,7,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[2,8,6,1,4,5,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[6,8,7,2,5,4,1,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[3,5,7,9,1,2,4,6,8,10] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[4,1,2,3,5,6,7,8,9,10] => [[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => 100000000
[5,1,2,3,4,6,7,8,9,10] => [[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => 100000000
[8,1,2,3,4,5,6,7,9,10] => [[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => 100000000
[7,1,2,3,4,5,6,8,9,10] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => 100000000
[6,1,2,3,4,5,7,8,9,10] => [[1,2,3,4,5,7,8,9,10],[6]] => [6,1,2,3,4,5,7,8,9,10] => 100000000
[3,1,2,4,5,6,7,8,9,10,11,12] => [[1,2,4,5,6,7,8,9,10,11,12],[3]] => [3,1,2,4,5,6,7,8,9,10,11,12] => 10000000000
[4,3,6,8,7,2,5,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,1,8,3,5,2,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[3,8,1,5,2,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[7,8,6,4,1,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[7,1,4,2,5,6,3,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[7,3,2,1,4,6,5,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[7,6,1,4,3,2,5,8] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[7,4,1,3,5,6,2,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[3,6,2,1,5,8,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[2,3,6,1,5,8,7,4] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[3,4,7,1,5,6,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[4,3,2,7,1,6,8,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[7,3,2,8,1,6,4,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,4,8,1,5,6,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[2,6,8,1,5,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,8,2,1,5,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[4,8,2,5,3,6,7,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,5,8,2,3,6,7,1] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[2,4,8,5,3,6,7,1] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[5,3,2,6,4,8,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[2,4,5,3,8,6,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[4,3,5,2,8,6,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,8,5,3,2,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[3,5,4,2,8,6,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,1,2,7,5,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[7,5,2,4,3,8,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[6,8,1,2,5,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,4,1,8,5,2,7,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[2,6,1,8,5,4,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[7,1,2,8,5,6,4,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[4,3,2,6,8,5,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[3,7,6,4,8,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[2,3,5,8,4,6,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[3,5,2,8,4,6,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,4,5,8,2,6,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[5,3,4,8,2,6,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[6,3,2,5,8,4,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[6,1,8,3,5,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[5,4,8,3,2,6,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[5,8,2,3,4,6,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[7,5,6,1,2,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,5,7,6,3,2,8,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[8,4,6,2,3,1,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,1,7,8,5,4,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[3,4,5,2,1,8,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[7,6,4,8,3,1,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[7,4,8,5,6,1,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[3,2,7,8,6,1,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[6,8,2,5,1,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,7,4,2,1,5,3,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[5,7,4,1,3,6,2,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[4,2,7,5,1,8,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[4,1,6,5,3,8,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[1,5,4,6,3,8,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,8,6,4,7,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[5,4,8,1,7,3,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[4,3,8,6,2,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[8,3,6,2,4,1,7,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[7,8,3,2,4,6,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,2,8,5,3,1,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[2,5,4,8,7,3,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,4,2,8,7,3,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[3,8,6,1,7,5,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[2,7,5,4,8,3,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,6,2,8,5,1,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[1,5,7,6,2,8,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[6,7,8,4,2,1,5,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[4,7,8,1,2,5,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[8,6,4,1,2,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[6,7,8,3,5,4,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[5,6,3,2,7,4,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[2,6,4,3,7,5,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[8,5,2,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[8,5,7,2,4,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[8,3,7,1,6,4,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[8,2,1,7,6,5,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[6,5,1,2,8,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[5,6,8,1,3,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[1,6,8,5,3,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[5,8,1,6,7,4,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[7,2,8,4,6,1,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[6,2,7,4,3,8,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[1,7,8,4,6,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,1,8,4,6,2,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[5,1,4,6,7,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => 1110000
[7,1,3,4,6,2,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[3,4,1,6,2,5,8,7,10,9] => [[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => 000010000
[8,7,1,4,6,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[1,4,7,5,8,6,3,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[6,1,8,3,4,7,2,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[3,6,5,2,8,4,1,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[7,1,8,4,2,5,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,4,8,7,5,2,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,8,7,3,2,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,2,5,4,8,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,5,2,4,7,3,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[8,6,3,5,7,4,1,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[8,5,3,2,1,4,7,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[1,6,3,2,5,7,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,7,3,4,2,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,6,3,5,8,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,2,5,8,4,6,3,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,5,3,2,7,8,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[4,1,8,6,2,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[7,5,8,6,2,3,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[1,4,7,3,6,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,5,6,3,2,7,8,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[6,8,5,2,1,7,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[5,3,7,2,6,4,1,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[7,6,2,5,3,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[7,6,2,4,5,3,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,6,2,4,3,5,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,6,2,3,5,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[8,4,2,7,1,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,7,6,1,5,3,2,4] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[8,7,6,1,4,3,5,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[8,7,6,1,3,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[8,7,6,1,5,4,2,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[8,6,2,7,1,5,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[5,3,7,2,8,1,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[8,3,5,4,2,1,6,7] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[7,8,4,3,1,5,2,6] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[8,7,6,1,2,5,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[8,7,6,1,2,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[8,7,6,1,4,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[4,7,5,8,6,1,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[8,7,5,4,1,2,6,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[5,7,1,3,4,2,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[7,3,5,6,4,8,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[1,5,3,7,8,4,6,2] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,5,7,3,8,2,6,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[1,3,7,5,8,6,2,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[3,7,5,8,4,1,2,6] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[3,1,2,7,5,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[3,1,2,5,7,8,6,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[3,7,1,2,8,5,6,4] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[5,3,1,7,4,6,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,7,6,4,2,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[5,8,2,4,6,1,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[6,1,4,8,5,2,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[3,4,5,8,1,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[5,6,8,4,7,3,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[3,1,6,8,5,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[5,4,8,1,2,6,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[5,2,3,8,1,7,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[8,6,2,7,5,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[5,7,6,1,3,2,8,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[3,5,4,6,1,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[5,4,7,2,8,6,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[3,5,6,4,1,7,2,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[2,5,6,1,7,4,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[3,7,6,1,8,5,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[4,2,1,6,3,5,8,7,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[6,2,8,3,1,4,5,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[2,7,8,3,1,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[1,5,3,2,8,6,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[1,8,5,3,2,6,7,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,5,6,7,3,2,8,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[1,7,5,2,3,4,8,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,7,5,2,4,8,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[1,6,7,8,3,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,8,4,5,6,7,2,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,2,8,6,3,5,7,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,2,7,8,4,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,6,7,8,4,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,6,7,8,3,4,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,7,4,2,3,8,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,7,8,4,2,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,7,3,5,6,2,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,7,8,3,4,2,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,2,3,7,8,5,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,2,7,4,6,3,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,7,8,4,5,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,7,8,3,4,5,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,2,8,4,5,6,3,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[1,8,4,5,6,2,3,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[5,8,2,7,3,4,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[5,3,8,1,6,7,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[5,8,2,1,3,7,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[5,1,8,3,6,7,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[3,1,8,4,6,2,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[1,8,7,6,4,3,5,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[3,2,4,7,5,8,1,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[2,8,7,6,4,5,1,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[4,8,7,6,3,1,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[3,5,2,4,7,6,8,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[5,3,2,6,4,7,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,2,6,7,4,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,2,7,6,4,8,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[3,5,2,7,4,6,8,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,2,5,7,4,6,8,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,4,7,6,8,2,5,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[5,2,8,4,1,3,6,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[3,8,5,2,1,4,6,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[7,5,4,2,1,6,3,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[8,1,6,7,3,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,2,1,6,7,4,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[5,2,8,6,3,7,1,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[7,6,8,1,2,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[1,2,9,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[1,2,3,8,4,5,9,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[1,2,3,4,9,5,6,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[1,2,3,4,5,9,6,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 11000000
[7,1,2,3,4,8,5,9,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[6,9,1,2,3,4,8,5,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[1,2,10,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[1,2,3,9,4,5,6,10,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[1,2,3,4,10,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[1,2,3,4,5,10,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[1,2,3,4,5,6,9,10,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[8,1,2,3,4,5,9,6,10,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 001000000
[1,7,2,3,4,5,9,8,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 10100000
[7,10,1,2,3,4,5,9,6,8] => [[1,2,3,4,5,6,8],[7,9],[10]] => [10,7,9,1,2,3,4,5,6,8] => 101000000
[1,6,2,3,4,5,9,8,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[6,1,2,3,7,4,8,9,5] => [[1,2,3,4,5,9],[6,7,8]] => [6,7,8,1,2,3,4,5,9] => 00100000
[5,7,1,2,6,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,5,2,3,6,8,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[3,5,7,4,1,8,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[8,6,4,7,5,1,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[2,8,4,3,1,6,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,8,4,6,1,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[8,3,5,6,1,4,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[6,8,7,3,5,4,2,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => 1111010
[3,1,2,8,5,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,1,2,3,4,5,9,8,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[4,1,2,3,9,6,8,5,7] => [[1,2,3,5,7],[4,6,8],[9]] => [9,4,6,8,1,2,3,5,7] => 10010000
[7,3,1,2,5,8,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,3,5,7,2,1,4,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[2,1,3,8,5,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[2,1,9,4,6,8,3,5,7] => [[1,3,5,7],[2,4,6,8],[9]] => [9,2,4,6,8,1,3,5,7] => 10001000
[7,3,1,2,8,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[2,1,4,7,6,3,5,8] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[7,2,4,5,3,8,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,4,2,5,6,7,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[5,4,1,6,3,7,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,5,1,3,6,7,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[5,1,7,6,3,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[6,1,7,5,4,8,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[3,7,2,1,6,8,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[1,5,8,2,4,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[5,8,1,6,4,7,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[6,8,1,4,7,3,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[5,7,2,1,8,4,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[5,7,1,6,8,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,6,2,1,8,3,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,4,1,7,3,8,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[7,2,4,6,8,3,1,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[6,1,4,3,2,8,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[2,4,8,6,5,7,3,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[3,7,8,6,4,2,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[6,2,8,4,7,5,1,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[1,4,7,2,6,8,5,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[4,2,8,5,1,6,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[6,5,8,1,4,2,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[4,5,7,3,1,6,2,8] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[2,4,8,7,5,1,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[3,5,7,6,1,8,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[3,5,7,6,2,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[6,1,4,3,8,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[6,3,1,8,7,4,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[5,3,6,2,8,7,4,1] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[2,8,4,1,3,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[3,8,1,4,7,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[3,4,7,5,8,1,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[2,7,8,3,4,1,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,8,6,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[7,2,6,8,1,4,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[5,3,6,2,8,4,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[8,1,6,3,7,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[6,8,2,7,4,1,5,3] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[2,6,5,4,7,1,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[5,8,3,4,6,1,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[5,3,8,2,7,1,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[8,3,4,5,2,7,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[7,1,5,2,6,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[3,7,1,5,2,6,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[6,7,1,8,3,4,5,2] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[3,8,5,2,6,7,1,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[3,6,5,2,7,1,4,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,8,3,4,7,1,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,7,1,6,5,2,8,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[8,3,5,2,7,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,8,6,4,7,1,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,7,1,4,5,2,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[6,7,8,5,4,3,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[6,5,7,8,4,3,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[6,5,4,7,8,3,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[6,5,4,3,7,8,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[6,5,4,3,2,7,8,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[7,8,9,5,4,3,2,1,6] => [[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => 11110100
[7,8,9,6,5,4,3,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[6,7,8,9,4,3,2,1,5] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 11101000
[7,6,8,9,5,4,3,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[7,6,5,8,9,4,3,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[7,6,5,4,8,9,3,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[7,6,5,4,3,8,9,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[6,5,4,3,2,7,8,9,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[7,6,5,4,3,2,8,9,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[2,1,4,3,6,5,8,7,11,12,9,10] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => [2,4,6,8,11,12,1,3,5,7,9,10] => 00000100000
[2,1,4,3,6,5,9,10,7,8,12,11] => [[1,3,5,7,8,11],[2,4,6,9,10,12]] => [2,4,6,9,10,12,1,3,5,7,8,11] => 00000100000
[2,1,4,3,6,5,9,11,7,12,8,10] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => [2,4,6,9,11,12,1,3,5,7,8,10] => 00000100000
[2,1,4,3,6,5,10,11,12,7,8,9] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => [2,4,6,10,11,12,1,3,5,7,8,9] => 00000100000
[2,1,4,3,7,8,5,6,10,9,12,11] => [[1,3,5,6,9,11],[2,4,7,8,10,12]] => [2,4,7,8,10,12,1,3,5,6,9,11] => 00000100000
[2,1,4,3,7,8,5,6,11,12,9,10] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [2,4,7,8,11,12,1,3,5,6,9,10] => 00000100000
[2,1,4,3,7,9,5,10,6,8,12,11] => [[1,3,5,6,8,11],[2,4,7,9,10,12]] => [2,4,7,9,10,12,1,3,5,6,8,11] => 00000100000
[2,1,4,3,7,9,5,11,6,12,8,10] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => [2,4,7,9,11,12,1,3,5,6,8,10] => 00000100000
[2,1,4,3,7,10,5,11,12,6,8,9] => [[1,3,5,6,8,9],[2,4,7,10,11,12]] => [2,4,7,10,11,12,1,3,5,6,8,9] => 00000100000
[2,1,4,3,8,9,10,5,6,7,12,11] => [[1,3,5,6,7,11],[2,4,8,9,10,12]] => [2,4,8,9,10,12,1,3,5,6,7,11] => 00000100000
[2,1,4,3,8,9,11,5,6,12,7,10] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => [2,4,8,9,11,12,1,3,5,6,7,10] => 00000100000
[2,1,4,3,8,10,11,5,12,6,7,9] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => [2,4,8,10,11,12,1,3,5,6,7,9] => 00000100000
[2,1,4,3,9,10,11,12,5,6,7,8] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => [2,4,9,10,11,12,1,3,5,6,7,8] => 00000100000
[2,1,5,6,3,4,8,7,10,9,12,11] => [[1,3,4,7,9,11],[2,5,6,8,10,12]] => [2,5,6,8,10,12,1,3,4,7,9,11] => 00000100000
[2,1,5,6,3,4,8,7,11,12,9,10] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [2,5,6,8,11,12,1,3,4,7,9,10] => 00000100000
[2,1,5,6,3,4,9,10,7,8,12,11] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [2,5,6,9,10,12,1,3,4,7,8,11] => 00000100000
[2,1,5,6,3,4,9,11,7,12,8,10] => [[1,3,4,7,8,10],[2,5,6,9,11,12]] => [2,5,6,9,11,12,1,3,4,7,8,10] => 00000100000
[2,1,5,6,3,4,10,11,12,7,8,9] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [2,5,6,10,11,12,1,3,4,7,8,9] => 00000100000
[2,1,5,7,3,8,4,6,10,9,12,11] => [[1,3,4,6,9,11],[2,5,7,8,10,12]] => [2,5,7,8,10,12,1,3,4,6,9,11] => 00000100000
[2,1,5,7,3,8,4,6,11,12,9,10] => [[1,3,4,6,9,10],[2,5,7,8,11,12]] => [2,5,7,8,11,12,1,3,4,6,9,10] => 00000100000
[2,1,5,7,3,9,4,10,6,8,12,11] => [[1,3,4,6,8,11],[2,5,7,9,10,12]] => [2,5,7,9,10,12,1,3,4,6,8,11] => 00000100000
[2,1,5,7,3,9,4,11,6,12,8,10] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => [2,5,7,9,11,12,1,3,4,6,8,10] => 00000100000
[2,1,5,7,3,10,4,11,12,6,8,9] => [[1,3,4,6,8,9],[2,5,7,10,11,12]] => [2,5,7,10,11,12,1,3,4,6,8,9] => 00000100000
[2,1,5,8,3,9,10,4,6,7,12,11] => [[1,3,4,6,7,11],[2,5,8,9,10,12]] => [2,5,8,9,10,12,1,3,4,6,7,11] => 00000100000
[2,1,5,8,3,9,11,4,6,12,7,10] => [[1,3,4,6,7,10],[2,5,8,9,11,12]] => [2,5,8,9,11,12,1,3,4,6,7,10] => 00000100000
[2,1,5,8,3,10,11,4,12,6,7,9] => [[1,3,4,6,7,9],[2,5,8,10,11,12]] => [2,5,8,10,11,12,1,3,4,6,7,9] => 00000100000
[2,1,5,9,3,10,11,12,4,6,7,8] => [[1,3,4,6,7,8],[2,5,9,10,11,12]] => [2,5,9,10,11,12,1,3,4,6,7,8] => 00000100000
[2,1,6,7,8,3,4,5,10,9,12,11] => [[1,3,4,5,9,11],[2,6,7,8,10,12]] => [2,6,7,8,10,12,1,3,4,5,9,11] => 00000100000
[2,1,6,7,8,3,4,5,11,12,9,10] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [2,6,7,8,11,12,1,3,4,5,9,10] => 00000100000
[2,1,6,7,9,3,4,10,5,8,12,11] => [[1,3,4,5,8,11],[2,6,7,9,10,12]] => [2,6,7,9,10,12,1,3,4,5,8,11] => 00000100000
[2,1,6,7,9,3,4,11,5,12,8,10] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => [2,6,7,9,11,12,1,3,4,5,8,10] => 00000100000
[2,1,6,7,10,3,4,11,12,5,8,9] => [[1,3,4,5,8,9],[2,6,7,10,11,12]] => [2,6,7,10,11,12,1,3,4,5,8,9] => 00000100000
[2,1,6,8,9,3,10,4,5,7,12,11] => [[1,3,4,5,7,11],[2,6,8,9,10,12]] => [2,6,8,9,10,12,1,3,4,5,7,11] => 00000100000
[2,1,6,8,9,3,11,4,5,12,7,10] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => [2,6,8,9,11,12,1,3,4,5,7,10] => 00000100000
[2,1,6,8,10,3,11,4,12,5,7,9] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => [2,6,8,10,11,12,1,3,4,5,7,9] => 00000100000
[2,1,6,9,10,3,11,12,4,5,7,8] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => [2,6,9,10,11,12,1,3,4,5,7,8] => 00000100000
[2,1,7,8,9,10,3,4,5,6,12,11] => [[1,3,4,5,6,11],[2,7,8,9,10,12]] => [2,7,8,9,10,12,1,3,4,5,6,11] => 00000100000
[2,1,7,8,9,11,3,4,5,12,6,10] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => [2,7,8,9,11,12,1,3,4,5,6,10] => 00000100000
[2,1,7,8,10,11,3,4,12,5,6,9] => [[1,3,4,5,6,9],[2,7,8,10,11,12]] => [2,7,8,10,11,12,1,3,4,5,6,9] => 00000100000
[2,1,7,9,10,11,3,12,4,5,6,8] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => [2,7,9,10,11,12,1,3,4,5,6,8] => 00000100000
[2,1,8,9,10,11,12,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [2,8,9,10,11,12,1,3,4,5,6,7] => 00000100000
[3,4,1,2,6,5,8,7,10,9,12,11] => [[1,2,5,7,9,11],[3,4,6,8,10,12]] => [3,4,6,8,10,12,1,2,5,7,9,11] => 00000100000
[3,4,1,2,6,5,8,7,11,12,9,10] => [[1,2,5,7,9,10],[3,4,6,8,11,12]] => [3,4,6,8,11,12,1,2,5,7,9,10] => 00000100000
[3,4,1,2,6,5,9,10,7,8,12,11] => [[1,2,5,7,8,11],[3,4,6,9,10,12]] => [3,4,6,9,10,12,1,2,5,7,8,11] => 00000100000
[3,4,1,2,6,5,9,11,7,12,8,10] => [[1,2,5,7,8,10],[3,4,6,9,11,12]] => [3,4,6,9,11,12,1,2,5,7,8,10] => 00000100000
[3,4,1,2,6,5,10,11,12,7,8,9] => [[1,2,5,7,8,9],[3,4,6,10,11,12]] => [3,4,6,10,11,12,1,2,5,7,8,9] => 00000100000
[3,4,1,2,7,8,5,6,10,9,12,11] => [[1,2,5,6,9,11],[3,4,7,8,10,12]] => [3,4,7,8,10,12,1,2,5,6,9,11] => 00000100000
[3,4,1,2,7,8,5,6,11,12,9,10] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [3,4,7,8,11,12,1,2,5,6,9,10] => 00000100000
[3,4,1,2,7,9,5,10,6,8,12,11] => [[1,2,5,6,8,11],[3,4,7,9,10,12]] => [3,4,7,9,10,12,1,2,5,6,8,11] => 00000100000
[3,4,1,2,7,9,5,11,6,12,8,10] => [[1,2,5,6,8,10],[3,4,7,9,11,12]] => [3,4,7,9,11,12,1,2,5,6,8,10] => 00000100000
[3,4,1,2,7,10,5,11,12,6,8,9] => [[1,2,5,6,8,9],[3,4,7,10,11,12]] => [3,4,7,10,11,12,1,2,5,6,8,9] => 00000100000
[3,4,1,2,8,9,10,5,6,7,12,11] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [3,4,8,9,10,12,1,2,5,6,7,11] => 00000100000
[3,4,1,2,8,9,11,5,6,12,7,10] => [[1,2,5,6,7,10],[3,4,8,9,11,12]] => [3,4,8,9,11,12,1,2,5,6,7,10] => 00000100000
[3,4,1,2,8,10,11,5,12,6,7,9] => [[1,2,5,6,7,9],[3,4,8,10,11,12]] => [3,4,8,10,11,12,1,2,5,6,7,9] => 00000100000
[3,4,1,2,9,10,11,12,5,6,7,8] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [3,4,9,10,11,12,1,2,5,6,7,8] => 00000100000
[3,5,1,6,2,4,8,7,10,9,12,11] => [[1,2,4,7,9,11],[3,5,6,8,10,12]] => [3,5,6,8,10,12,1,2,4,7,9,11] => 00000100000
[3,5,1,6,2,4,8,7,11,12,9,10] => [[1,2,4,7,9,10],[3,5,6,8,11,12]] => [3,5,6,8,11,12,1,2,4,7,9,10] => 00000100000
[3,5,1,6,2,4,9,10,7,8,12,11] => [[1,2,4,7,8,11],[3,5,6,9,10,12]] => [3,5,6,9,10,12,1,2,4,7,8,11] => 00000100000
[3,5,1,6,2,4,9,11,7,12,8,10] => [[1,2,4,7,8,10],[3,5,6,9,11,12]] => [3,5,6,9,11,12,1,2,4,7,8,10] => 00000100000
[3,5,1,6,2,4,10,11,12,7,8,9] => [[1,2,4,7,8,9],[3,5,6,10,11,12]] => [3,5,6,10,11,12,1,2,4,7,8,9] => 00000100000
[3,5,1,7,2,8,4,6,10,9,12,11] => [[1,2,4,6,9,11],[3,5,7,8,10,12]] => [3,5,7,8,10,12,1,2,4,6,9,11] => 00000100000
[3,5,1,7,2,8,4,6,11,12,9,10] => [[1,2,4,6,9,10],[3,5,7,8,11,12]] => [3,5,7,8,11,12,1,2,4,6,9,10] => 00000100000
[3,5,1,7,2,9,4,10,6,8,12,11] => [[1,2,4,6,8,11],[3,5,7,9,10,12]] => [3,5,7,9,10,12,1,2,4,6,8,11] => 00000100000
[3,5,1,7,2,9,4,11,6,12,8,10] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => [3,5,7,9,11,12,1,2,4,6,8,10] => 00000100000
[3,5,1,7,2,10,4,11,12,6,8,9] => [[1,2,4,6,8,9],[3,5,7,10,11,12]] => [3,5,7,10,11,12,1,2,4,6,8,9] => 00000100000
[3,5,1,8,2,9,10,4,6,7,12,11] => [[1,2,4,6,7,11],[3,5,8,9,10,12]] => [3,5,8,9,10,12,1,2,4,6,7,11] => 00000100000
[3,5,1,8,2,9,11,4,6,12,7,10] => [[1,2,4,6,7,10],[3,5,8,9,11,12]] => [3,5,8,9,11,12,1,2,4,6,7,10] => 00000100000
[3,5,1,8,2,10,11,4,12,6,7,9] => [[1,2,4,6,7,9],[3,5,8,10,11,12]] => [3,5,8,10,11,12,1,2,4,6,7,9] => 00000100000
[3,5,1,9,2,10,11,12,4,6,7,8] => [[1,2,4,6,7,8],[3,5,9,10,11,12]] => [3,5,9,10,11,12,1,2,4,6,7,8] => 00000100000
[3,6,1,7,8,2,4,5,10,9,12,11] => [[1,2,4,5,9,11],[3,6,7,8,10,12]] => [3,6,7,8,10,12,1,2,4,5,9,11] => 00000100000
[3,6,1,7,8,2,4,5,11,12,9,10] => [[1,2,4,5,9,10],[3,6,7,8,11,12]] => [3,6,7,8,11,12,1,2,4,5,9,10] => 00000100000
[3,6,1,7,9,2,4,10,5,8,12,11] => [[1,2,4,5,8,11],[3,6,7,9,10,12]] => [3,6,7,9,10,12,1,2,4,5,8,11] => 00000100000
[3,6,1,7,9,2,4,11,5,12,8,10] => [[1,2,4,5,8,10],[3,6,7,9,11,12]] => [3,6,7,9,11,12,1,2,4,5,8,10] => 00000100000
[3,6,1,7,10,2,4,11,12,5,8,9] => [[1,2,4,5,8,9],[3,6,7,10,11,12]] => [3,6,7,10,11,12,1,2,4,5,8,9] => 00000100000
[3,6,1,8,9,2,10,4,5,7,12,11] => [[1,2,4,5,7,11],[3,6,8,9,10,12]] => [3,6,8,9,10,12,1,2,4,5,7,11] => 00000100000
[3,6,1,8,9,2,11,4,5,12,7,10] => [[1,2,4,5,7,10],[3,6,8,9,11,12]] => [3,6,8,9,11,12,1,2,4,5,7,10] => 00000100000
[3,6,1,8,10,2,11,4,12,5,7,9] => [[1,2,4,5,7,9],[3,6,8,10,11,12]] => [3,6,8,10,11,12,1,2,4,5,7,9] => 00000100000
[3,6,1,9,10,2,11,12,4,5,7,8] => [[1,2,4,5,7,8],[3,6,9,10,11,12]] => [3,6,9,10,11,12,1,2,4,5,7,8] => 00000100000
[3,7,1,8,9,10,2,4,5,6,12,11] => [[1,2,4,5,6,11],[3,7,8,9,10,12]] => [3,7,8,9,10,12,1,2,4,5,6,11] => 00000100000
[3,7,1,8,9,11,2,4,5,12,6,10] => [[1,2,4,5,6,10],[3,7,8,9,11,12]] => [3,7,8,9,11,12,1,2,4,5,6,10] => 00000100000
[3,7,1,8,10,11,2,4,12,5,6,9] => [[1,2,4,5,6,9],[3,7,8,10,11,12]] => [3,7,8,10,11,12,1,2,4,5,6,9] => 00000100000
[3,7,1,9,10,11,2,12,4,5,6,8] => [[1,2,4,5,6,8],[3,7,9,10,11,12]] => [3,7,9,10,11,12,1,2,4,5,6,8] => 00000100000
[3,8,1,9,10,11,12,2,4,5,6,7] => [[1,2,4,5,6,7],[3,8,9,10,11,12]] => [3,8,9,10,11,12,1,2,4,5,6,7] => 00000100000
[4,5,6,1,2,3,8,7,10,9,12,11] => [[1,2,3,7,9,11],[4,5,6,8,10,12]] => [4,5,6,8,10,12,1,2,3,7,9,11] => 00000100000
[4,5,6,1,2,3,8,7,11,12,9,10] => [[1,2,3,7,9,10],[4,5,6,8,11,12]] => [4,5,6,8,11,12,1,2,3,7,9,10] => 00000100000
[4,5,6,1,2,3,9,10,7,8,12,11] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [4,5,6,9,10,12,1,2,3,7,8,11] => 00000100000
[4,5,6,1,2,3,9,11,7,12,8,10] => [[1,2,3,7,8,10],[4,5,6,9,11,12]] => [4,5,6,9,11,12,1,2,3,7,8,10] => 00000100000
[4,5,6,1,2,3,10,11,12,7,8,9] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [4,5,6,10,11,12,1,2,3,7,8,9] => 00000100000
[4,5,7,1,2,8,3,6,10,9,12,11] => [[1,2,3,6,9,11],[4,5,7,8,10,12]] => [4,5,7,8,10,12,1,2,3,6,9,11] => 00000100000
[4,5,7,1,2,8,3,6,11,12,9,10] => [[1,2,3,6,9,10],[4,5,7,8,11,12]] => [4,5,7,8,11,12,1,2,3,6,9,10] => 00000100000
[4,5,7,1,2,9,3,10,6,8,12,11] => [[1,2,3,6,8,11],[4,5,7,9,10,12]] => [4,5,7,9,10,12,1,2,3,6,8,11] => 00000100000
[4,5,7,1,2,9,3,11,6,12,8,10] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => [4,5,7,9,11,12,1,2,3,6,8,10] => 00000100000
[4,5,7,1,2,10,3,11,12,6,8,9] => [[1,2,3,6,8,9],[4,5,7,10,11,12]] => [4,5,7,10,11,12,1,2,3,6,8,9] => 00000100000
[4,5,8,1,2,9,10,3,6,7,12,11] => [[1,2,3,6,7,11],[4,5,8,9,10,12]] => [4,5,8,9,10,12,1,2,3,6,7,11] => 00000100000
[4,5,8,1,2,9,11,3,6,12,7,10] => [[1,2,3,6,7,10],[4,5,8,9,11,12]] => [4,5,8,9,11,12,1,2,3,6,7,10] => 00000100000
[4,5,8,1,2,10,11,3,12,6,7,9] => [[1,2,3,6,7,9],[4,5,8,10,11,12]] => [4,5,8,10,11,12,1,2,3,6,7,9] => 00000100000
[4,5,9,1,2,10,11,12,3,6,7,8] => [[1,2,3,6,7,8],[4,5,9,10,11,12]] => [4,5,9,10,11,12,1,2,3,6,7,8] => 00000100000
[4,6,7,1,8,2,3,5,10,9,12,11] => [[1,2,3,5,9,11],[4,6,7,8,10,12]] => [4,6,7,8,10,12,1,2,3,5,9,11] => 00000100000
[4,6,7,1,8,2,3,5,11,12,9,10] => [[1,2,3,5,9,10],[4,6,7,8,11,12]] => [4,6,7,8,11,12,1,2,3,5,9,10] => 00000100000
[4,6,7,1,9,2,3,10,5,8,12,11] => [[1,2,3,5,8,11],[4,6,7,9,10,12]] => [4,6,7,9,10,12,1,2,3,5,8,11] => 00000100000
[4,6,7,1,9,2,3,11,5,12,8,10] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => [4,6,7,9,11,12,1,2,3,5,8,10] => 00000100000
[4,6,7,1,10,2,3,11,12,5,8,9] => [[1,2,3,5,8,9],[4,6,7,10,11,12]] => [4,6,7,10,11,12,1,2,3,5,8,9] => 00000100000
[4,6,8,1,9,2,10,3,5,7,12,11] => [[1,2,3,5,7,11],[4,6,8,9,10,12]] => [4,6,8,9,10,12,1,2,3,5,7,11] => 00000100000
[4,6,8,1,9,2,11,3,5,12,7,10] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => [4,6,8,9,11,12,1,2,3,5,7,10] => 00000100000
[4,6,8,1,10,2,11,3,12,5,7,9] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => [4,6,8,10,11,12,1,2,3,5,7,9] => 00000100000
[4,6,9,1,10,2,11,12,3,5,7,8] => [[1,2,3,5,7,8],[4,6,9,10,11,12]] => [4,6,9,10,11,12,1,2,3,5,7,8] => 00000100000
[4,7,8,1,9,10,2,3,5,6,12,11] => [[1,2,3,5,6,11],[4,7,8,9,10,12]] => [4,7,8,9,10,12,1,2,3,5,6,11] => 00000100000
[4,7,8,1,9,11,2,3,5,12,6,10] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => [4,7,8,9,11,12,1,2,3,5,6,10] => 00000100000
[4,7,8,1,10,11,2,3,12,5,6,9] => [[1,2,3,5,6,9],[4,7,8,10,11,12]] => [4,7,8,10,11,12,1,2,3,5,6,9] => 00000100000
[4,7,9,1,10,11,2,12,3,5,6,8] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => [4,7,9,10,11,12,1,2,3,5,6,8] => 00000100000
[4,8,9,1,10,11,12,2,3,5,6,7] => [[1,2,3,5,6,7],[4,8,9,10,11,12]] => [4,8,9,10,11,12,1,2,3,5,6,7] => 00000100000
[5,6,7,8,1,2,3,4,10,9,12,11] => [[1,2,3,4,9,11],[5,6,7,8,10,12]] => [5,6,7,8,10,12,1,2,3,4,9,11] => 00000100000
[5,6,7,8,1,2,3,4,11,12,9,10] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [5,6,7,8,11,12,1,2,3,4,9,10] => 00000100000
[5,6,7,9,1,2,3,10,4,8,12,11] => [[1,2,3,4,8,11],[5,6,7,9,10,12]] => [5,6,7,9,10,12,1,2,3,4,8,11] => 00000100000
[5,6,7,9,1,2,3,11,4,12,8,10] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => [5,6,7,9,11,12,1,2,3,4,8,10] => 00000100000
[5,6,7,10,1,2,3,11,12,4,8,9] => [[1,2,3,4,8,9],[5,6,7,10,11,12]] => [5,6,7,10,11,12,1,2,3,4,8,9] => 00000100000
[5,6,8,9,1,2,10,3,4,7,12,11] => [[1,2,3,4,7,11],[5,6,8,9,10,12]] => [5,6,8,9,10,12,1,2,3,4,7,11] => 00000100000
[5,6,8,9,1,2,11,3,4,12,7,10] => [[1,2,3,4,7,10],[5,6,8,9,11,12]] => [5,6,8,9,11,12,1,2,3,4,7,10] => 00000100000
[5,6,8,10,1,2,11,3,12,4,7,9] => [[1,2,3,4,7,9],[5,6,8,10,11,12]] => [5,6,8,10,11,12,1,2,3,4,7,9] => 00000100000
[5,6,9,10,1,2,11,12,3,4,7,8] => [[1,2,3,4,7,8],[5,6,9,10,11,12]] => [5,6,9,10,11,12,1,2,3,4,7,8] => 00000100000
[5,7,8,9,1,10,2,3,4,6,12,11] => [[1,2,3,4,6,11],[5,7,8,9,10,12]] => [5,7,8,9,10,12,1,2,3,4,6,11] => 00000100000
[5,7,8,9,1,11,2,3,4,12,6,10] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => [5,7,8,9,11,12,1,2,3,4,6,10] => 00000100000
[5,7,8,10,1,11,2,3,12,4,6,9] => [[1,2,3,4,6,9],[5,7,8,10,11,12]] => [5,7,8,10,11,12,1,2,3,4,6,9] => 00000100000
[5,7,9,10,1,11,2,12,3,4,6,8] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => [5,7,9,10,11,12,1,2,3,4,6,8] => 00000100000
[5,8,9,10,1,11,12,2,3,4,6,7] => [[1,2,3,4,6,7],[5,8,9,10,11,12]] => [5,8,9,10,11,12,1,2,3,4,6,7] => 00000100000
[6,7,8,9,10,1,2,3,4,5,12,11] => [[1,2,3,4,5,11],[6,7,8,9,10,12]] => [6,7,8,9,10,12,1,2,3,4,5,11] => 00000100000
[6,7,8,9,11,1,2,3,4,12,5,10] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => [6,7,8,9,11,12,1,2,3,4,5,10] => 00000100000
[6,7,8,10,11,1,2,3,12,4,5,9] => [[1,2,3,4,5,9],[6,7,8,10,11,12]] => [6,7,8,10,11,12,1,2,3,4,5,9] => 00000100000
[6,7,9,10,11,1,2,12,3,4,5,8] => [[1,2,3,4,5,8],[6,7,9,10,11,12]] => [6,7,9,10,11,12,1,2,3,4,5,8] => 00000100000
[6,8,9,10,11,1,12,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8,9,10,11,12]] => [6,8,9,10,11,12,1,2,3,4,5,7] => 00000100000
[3,5,7,6,8,2,1,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[4,2,5,3,7,6,1,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[6,2,4,3,7,5,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[1,3,6,4,7,5,2,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[7,2,5,3,6,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[4,2,6,3,7,5,1,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[5,2,7,3,6,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[7,3,6,2,5,4,1,8] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[3,2,8,4,6,5,1,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[1,4,7,3,6,5,2,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[8,2,6,4,1,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[1,4,8,3,7,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[6,2,1,4,8,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[5,2,1,4,8,6,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[4,2,8,3,7,5,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[5,2,8,3,7,4,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[8,3,7,2,6,4,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[7,3,1,4,8,5,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[1,3,7,4,8,5,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,2,6,3,8,4,1,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[3,2,7,4,8,5,1,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[5,2,6,3,8,4,1,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,2,5,3,8,4,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[8,2,5,3,7,4,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[1,3,6,4,8,5,2,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[8,2,4,3,7,5,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[7,2,4,3,8,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,2,4,3,8,5,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[4,2,5,3,8,6,1,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,2,5,3,1,7,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[6,2,4,3,1,7,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,2,4,3,1,6,5,8] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[8,5,1,3,6,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,5,2,4,7,6,3,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[7,2,5,3,1,6,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[4,2,6,3,1,7,5,8] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,2,7,4,1,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[5,2,7,3,1,6,4,8] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[6,2,7,3,1,5,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[1,5,2,4,8,6,3,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[8,4,1,3,7,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[6,2,1,5,3,7,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,2,8,4,1,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[8,3,7,4,1,5,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[7,1,3,2,5,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[6,3,5,2,4,8,1,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[1,5,2,8,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[5,7,2,8,1,4,3,6] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[4,8,3,1,5,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[7,1,5,3,2,6,8,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[8,7,6,5,4,1,2,3,9] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3,9] => 11111000
[9,8,7,6,5,4,2,1,3,10] => [[1,3,10],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3,10] => 111111100
[6,7,5,4,3,2,1,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[8,6,2,3,1,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[1,4,2,7,3,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[7,3,4,2,1,5,8,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[1,6,3,2,4,7,8,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,2,3,7,5,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,8,5,3,2,4,7,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[4,7,8,1,5,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[1,3,7,6,2,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[2,7,3,8,4,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[7,1,4,3,8,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[5,6,2,7,8,3,4,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[7,4,1,8,5,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[7,2,5,8,1,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[6,4,8,1,5,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[2,7,4,1,3,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[6,8,7,9,5,4,3,2,1] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => 11111100
[2,3,6,8,4,1,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[1,7,2,8,6,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,4,2,3,7,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[5,2,4,8,7,3,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,2,4,6,7,8,1,5] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[5,2,6,8,1,3,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[7,1,5,2,6,4,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[8,3,5,2,6,1,4,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[7,2,4,8,6,3,5,1] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[7,3,2,1,8,5,4,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,3,2,1,6,4,8,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[6,7,2,4,3,5,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[4,3,8,2,1,5,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,3,2,8,1,6,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[4,5,8,3,2,7,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[5,4,7,8,2,3,6,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[4,3,8,2,1,6,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,5,7,4,6,2,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,3,7,6,2,4,8,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[4,6,7,2,5,3,8,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[6,4,7,8,3,1,5,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[5,8,1,7,6,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[5,6,7,1,8,3,4,2] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[7,1,8,6,2,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[8,5,1,7,6,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[1,5,7,4,6,8,3,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[1,4,7,5,6,8,3,2] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[5,6,7,4,8,1,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[8,1,2,6,4,5,7,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[4,8,1,7,2,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[2,6,7,1,5,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,2,7,6,5,8,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[1,7,3,4,5,8,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,1,8,4,5,6,3,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[10,1,3,4,5,6,7,8,9,2] => [[1,2,4,5,6,7,8,9],[3],[10]] => [10,3,1,2,4,5,6,7,8,9] => 110000000
[1,2,7,4,5,8,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[6,7,3,2,5,8,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,1,8,4,5,3,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[5,1,4,6,2,8,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[7,3,5,2,1,6,8,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[8,5,1,2,6,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,7,2,1,3,6,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[3,7,2,6,8,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[1,6,4,5,7,3,8,2] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[7,3,1,6,8,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[7,1,6,8,5,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[3,5,8,7,6,4,1,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[1,5,7,8,6,2,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[6,8,2,7,5,4,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[10,7,1,2,3,4,9,5,6,8] => [[1,2,3,4,5,6,8],[7,9],[10]] => [10,7,9,1,2,3,4,5,6,8] => 101000000
[7,6,1,2,3,4,10,9,5,8] => [[1,2,3,4,5,8],[6,9],[7,10]] => [7,10,6,9,1,2,3,4,5,8] => 010100000
[4,1,5,6,7,8,9,2,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[2,3,4,5,8,9,1,6,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[8,5,3,2,4,1,7,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[8,5,1,6,3,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[6,4,3,2,8,7,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[8,1,6,3,7,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[5,3,8,2,6,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[8,2,5,1,7,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,2,4,6,3,7,1,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[7,2,6,4,3,5,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[7,3,6,2,4,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[8,3,7,2,1,4,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[7,6,4,1,3,2,8,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[7,3,8,2,1,5,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[6,2,5,7,4,3,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => 1111000
[6,2,5,4,8,7,1,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[7,2,4,8,5,1,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,1,6,2,8,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,1,6,3,8,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,2,8,5,1,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[7,1,8,5,3,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,1,8,2,5,6,4,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,1,5,7,4,8,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[6,1,5,7,8,3,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[4,6,7,3,1,8,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[6,1,4,2,5,8,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[7,6,4,2,8,5,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[1,7,6,4,8,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[8,7,4,1,3,2,6,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[4,1,8,5,7,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[3,7,5,8,4,2,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[6,1,5,8,3,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[6,7,5,1,3,2,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[5,2,6,1,7,3,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,8,5,1,4,2,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[7,8,4,5,1,3,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[1,7,8,5,3,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,5,8,3,6,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,8,2,6,5,3,7,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[3,8,1,7,2,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[7,3,8,1,2,6,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[8,1,4,2,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[8,1,2,4,6,5,7,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[5,1,8,3,7,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,3,7,1,5,4,6,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[5,8,4,3,6,2,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[1,7,2,6,3,4,8,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[7,5,1,6,3,2,4,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[7,1,2,6,3,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[7,3,1,4,6,2,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,1,6,5,4,2,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[5,8,4,3,1,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[3,6,8,5,2,4,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[5,7,8,4,3,2,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[1,3,8,4,7,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[6,7,1,3,2,8,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[3,7,6,5,8,2,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[5,7,4,2,8,6,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,4,3,7,8,2,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[5,8,7,1,4,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[2,6,3,7,1,4,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[6,2,3,5,8,4,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[9,8,7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => 11111110
[2,3,9,8,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => 11111100
[6,8,7,1,5,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[3,5,2,4,7,6,9,8,1] => [[1,4,6,8],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8] => 10001000
[2,4,3,6,5,8,7,1,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[3,2,5,4,7,6,9,8,1,10] => [[1,4,6,8,10],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8,10] => 100010000
[2,4,3,6,5,8,7,10,9,1] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[4,7,3,8,6,2,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,7,3,6,8,2,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[5,4,7,3,8,2,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[8,7,2,4,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,3,5,7,2,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[1,7,2,8,5,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[5,4,8,3,6,2,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,8,2,5,7,1,4,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[3,8,6,2,7,5,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[5,8,4,2,7,3,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[8,2,7,3,4,5,1,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[8,1,5,2,4,6,3,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[8,5,1,2,4,6,7,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,7,8,5,6,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[8,3,1,2,4,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,1,7,5,8,2,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[8,1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[8,1,6,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 1111100
[2,6,8,1,5,4,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[3,5,8,2,1,4,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[4,2,8,5,3,7,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[4,2,7,5,3,8,6,1] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,4,5,1,8,3,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,4,7,8,3,1,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[4,5,8,1,3,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[1,5,3,6,8,7,2,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[6,3,2,8,7,4,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,1,5,8,7,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[3,1,8,6,5,7,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[4,2,8,5,6,3,1,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,7,3,2,5,1,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[4,2,5,3,8,7,1,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[7,5,6,1,8,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[4,5,6,2,7,3,1,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,6,2,7,5,8,1,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[7,8,1,4,2,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[6,5,2,4,8,7,1,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[8,5,2,4,1,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[5,1,2,4,3,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[3,5,1,2,4,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[3,7,8,6,5,1,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[4,5,8,2,7,3,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[6,4,8,2,7,3,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[5,7,3,4,2,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,4,7,3,2,8,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[6,8,3,2,4,5,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,8,3,4,6,1,2,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[6,4,3,8,5,1,2,7] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,4,8,2,3,5,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[5,4,6,8,2,3,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[6,4,8,5,1,2,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[7,4,8,3,1,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[5,4,7,8,2,1,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[5,8,6,3,1,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[6,8,5,2,1,3,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[4,3,8,1,2,5,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[4,6,3,2,8,5,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,3,7,2,1,8,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,4,8,3,7,2,1,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,4,8,3,2,7,1,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,4,3,7,8,2,1,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,4,5,6,7,8,2,9,1] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[3,4,5,6,7,8,9,2,10,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[1,4,5,6,7,8,3,9,2] => [[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => 11000000
[3,4,5,6,7,2,1,9,8] => [[1,4,5,6,7,8],[2,9],[3]] => [3,2,9,1,4,5,6,7,8] => 10100000
[4,1,8,6,2,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[6,7,2,5,3,8,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[7,1,3,2,6,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,3,5,8,4,7,2,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[2,3,8,7,5,1,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[6,4,8,7,3,5,2,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[3,8,2,7,6,4,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[4,3,8,6,2,7,1,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[8,3,4,5,1,6,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[7,8,1,3,5,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[3,5,7,6,4,8,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[1,3,7,8,5,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,3,2,7,8,5,4,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[1,5,7,6,8,3,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[5,2,4,1,8,3,6,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[2,1,7,4,3,8,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[1,4,2,6,3,8,5,10,7,9] => [[1,2,3,5,7,9],[4,6,8,10]] => [4,6,8,10,1,2,3,5,7,9] => 000100000
[1,10,5,2,7,3,9,4,6,8] => [[1,2,3,4,6,8],[5,7,9],[10]] => [10,5,7,9,1,2,3,4,6,8] => 100100000
[1,10,9,6,2,8,3,4,5,7] => [[1,2,3,4,5,7],[6,8],[9],[10]] => [10,9,6,8,1,2,3,4,5,7] => 110100000
[1,10,9,8,7,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 111100000
[1,4,8,2,6,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,7,3,2,4,5,6,8] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[1,7,3,2,4,5,8,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,6,4,3,2,5,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[4,2,6,5,3,1,7,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,2,1,6,8,7,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[1,3,5,8,6,2,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[3,7,8,5,4,2,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[8,3,2,7,5,6,1,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[1,3,8,5,7,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,2,3,7,5,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => 1100000
[2,8,6,3,5,7,4,1] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[6,1,8,2,5,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,5,4,2,3,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[3,1,2,4,8,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,1,2,5,8,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,5,2,1,8,4,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[5,6,2,4,3,8,1,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[5,1,4,7,3,2,8,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[4,1,5,8,6,2,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[4,3,5,1,8,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[2,5,3,6,1,8,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[7,1,4,5,3,6,2,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[1,7,2,4,5,3,6,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[1,7,4,5,3,2,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[1,6,4,7,3,5,2,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[3,5,6,4,8,2,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[8,5,6,1,4,3,7,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[4,2,6,7,8,1,5,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,7,3,8,5,1,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,3,2,7,5,8,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,8,5,3,2,6,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => 1111000
[2,8,4,5,3,6,1,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[8,1,5,3,2,4,7,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,6,1,3,2,7,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[7,3,8,2,4,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[6,2,3,7,8,1,5,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[2,6,3,7,8,1,5,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[7,5,8,1,6,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[8,1,4,3,7,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,2,7,6,4,1,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,7,4,3,8,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,8,2,7,3,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[6,1,2,8,5,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[4,1,5,8,3,6,7,2] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[7,5,2,8,1,6,3,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[3,4,7,2,1,5,8,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[4,8,2,7,1,3,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,2,1,7,4,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[4,2,5,8,3,6,7,1] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[5,1,6,8,3,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[4,1,5,6,8,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[4,5,2,8,7,3,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[6,2,3,1,7,8,5,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[5,2,3,6,8,4,7,1] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,2,1,3,8,4,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[5,2,7,8,4,1,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[6,2,7,8,3,5,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[5,2,8,6,4,1,7,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[5,1,2,8,4,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[6,7,8,3,2,5,4,1] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,2,3,4,7,8,5,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,2,1,8,4,3,5,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[6,2,1,3,7,5,8,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[6,8,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[6,2,3,7,8,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[7,2,4,3,5,8,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[1,3,2,5,8,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,6,7,2,4,8,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[5,7,3,4,6,2,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[2,8,3,6,1,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[1,8,4,5,6,2,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[7,3,8,2,1,4,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,2,5,3,1,7,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[6,3,5,8,1,7,4,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[3,5,4,8,6,1,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[5,7,6,1,2,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[7,4,6,5,1,8,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[4,3,5,2,8,1,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[2,7,4,8,5,3,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,1,3,8,4,2,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[5,4,6,8,1,3,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[3,5,8,2,4,1,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[7,2,8,4,1,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[5,8,1,2,4,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[6,3,5,8,2,4,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[2,8,7,1,4,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[1,8,5,3,7,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[7,5,6,2,8,4,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,3,8,1,2,5,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[7,6,4,8,5,3,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => 1111010
[8,6,9,7,5,4,3,2,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 11111010
[3,2,1,6,5,8,7,10,9,4] => [[1,4,7,9],[2,5,8,10],[3,6]] => [3,6,2,5,8,10,1,4,7,9] => 010001000
[5,4,3,2,7,6,9,8,1,10] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => [5,4,3,2,7,9,1,6,8,10] => 111001000
[5,4,3,2,9,8,7,6,1,10] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => [5,4,9,3,8,2,7,1,6,10] => 101010100
[5,4,3,2,1,8,7,10,9,6] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => [5,4,3,8,2,7,10,1,6,9] => 110100100
[7,6,5,4,3,2,9,8,1,10] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8,10] => 111110100
[1,5,7,2,4,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,4,7,2,6,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[1,2,7,4,3,5,8,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,7,4,2,3,5,8,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,8,5,2,3,6,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,7,4,8,5,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,4,7,5,2,8,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,6,3,7,4,2,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,8,5,2,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,2,5,8,6,3,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,2,4,7,5,8,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,5,8,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[1,3,5,8,7,6,2,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,5,2,4,3,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,2,5,7,4,3,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,5,3,2,6,8,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[1,4,2,6,8,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,5,8,6,3,2,7,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,8,5,2,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,7,4,6,3,2,8,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,6,3,2,8,5,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[6,3,7,5,4,2,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[7,5,2,6,3,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[2,7,3,6,8,5,4,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[3,7,2,8,1,6,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[8,5,2,4,6,7,3,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[2,5,8,7,1,4,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[3,4,6,5,8,2,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,2,4,1,6,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[5,2,8,6,4,7,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[6,1,3,4,7,2,8,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[8,3,4,5,2,1,7,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[8,6,1,4,7,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[5,3,6,7,2,8,4,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,3,6,7,2,4,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[8,6,1,4,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[7,1,3,6,5,2,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[8,2,1,4,5,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[1,4,7,5,2,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[6,1,7,5,4,2,8,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[3,7,5,6,4,8,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[2,8,4,6,1,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,8,6,4,7,3,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[8,7,1,4,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[3,5,8,6,7,1,4,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[1,2,4,6,8,5,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[3,1,5,8,6,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,5,4,6,8,1,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[6,5,2,4,7,8,1,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[7,2,5,8,6,4,1,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[5,2,8,3,4,7,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[2,4,3,8,7,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[6,8,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => 1111010
[5,6,4,7,3,8,2,9,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[5,3,4,8,6,2,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[5,4,6,3,7,2,8,1,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[6,5,7,4,8,3,9,2,10,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[5,6,4,7,3,8,2,9,1,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[4,3,7,6,8,2,1,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[8,1,4,7,2,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[6,1,8,5,2,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[8,7,2,6,3,1,4,5] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[8,7,1,6,4,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[5,4,1,3,7,2,8,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[8,3,4,7,6,2,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,1,8,7,5,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,5,8,7,2,4,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[4,3,6,5,8,2,1,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[7,6,3,2,8,5,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[4,3,7,1,8,5,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[8,3,2,1,4,7,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[4,7,3,1,8,5,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[1,5,3,4,7,8,6,2] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[5,1,2,4,7,8,6,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[5,1,7,8,6,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[8,5,1,6,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[6,1,5,2,7,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[8,1,6,2,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[7,1,6,2,5,3,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[8,1,6,2,5,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[8,1,7,2,5,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[8,1,2,7,4,5,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[8,1,6,7,5,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[7,3,1,2,6,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[3,1,2,8,5,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[6,3,1,2,7,4,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[6,1,7,4,2,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,7,3,8,4,5,6,2] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[7,1,8,2,5,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[6,1,7,2,5,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[5,1,7,2,6,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[5,1,8,2,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,6,3,7,4,5,8,2] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[2,4,8,6,3,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[3,4,6,2,1,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[3,4,7,2,1,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[2,3,6,1,5,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,4,7,1,3,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[5,4,7,8,1,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[2,5,7,1,4,6,3,8] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,4,7,1,6,3,5,8] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,5,7,1,4,3,6,8] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,5,7,3,1,4,6,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[3,4,7,2,1,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[4,6,3,7,1,5,2,8] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,7,3,2,8,1,4,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[2,6,5,7,1,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,6,8,5,4,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[5,4,7,8,1,3,6,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[2,5,7,1,4,6,8,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[2,4,7,1,6,3,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,4,7,1,6,8,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[8,6,5,1,2,4,3,7] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[6,5,1,4,8,3,2,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[8,7,5,1,4,2,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[8,4,1,2,5,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[8,6,1,4,2,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,7,1,4,3,2,6,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[2,8,3,7,4,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[4,2,5,7,3,1,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[8,2,4,5,3,1,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[4,3,7,5,2,1,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[1,6,7,4,3,2,5,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[3,5,1,4,7,2,6,8] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[2,5,1,4,7,8,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[4,3,7,1,5,2,6,8] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[3,5,1,6,4,2,7,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[6,4,3,1,7,2,5,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,2,7,4,3,1,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,3,2,7,4,5,1,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[7,2,4,1,3,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[6,3,2,5,7,1,4,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,2,6,5,7,1,4,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[1,7,3,2,5,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[1,6,3,2,5,7,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[2,5,1,6,4,3,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[2,5,4,1,6,3,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[1,6,5,3,7,2,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,2,5,3,4,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[5,8,2,6,1,7,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[1,5,8,3,6,2,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[1,2,6,4,7,3,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,2,7,8,3,5,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[2,7,4,5,8,1,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[2,6,1,8,5,4,3,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[4,5,8,6,2,1,3,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[6,4,7,5,8,2,1,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[6,3,7,4,2,5,8,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[7,5,6,2,4,3,8,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[4,6,2,5,7,3,8,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[4,2,8,5,3,6,1,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[8,1,7,4,5,6,2,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[2,1,7,8,4,5,6,3] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[8,2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[6,2,3,1,7,8,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[4,2,5,1,8,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,5,3,7,1,6,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[4,2,8,5,3,6,7,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[2,8,6,3,5,4,7,1] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[3,5,2,8,6,4,7,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[7,3,5,1,6,4,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[1,8,2,5,6,4,7,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[2,7,1,4,8,5,6,3] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,8,4,6,1,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[8,4,6,2,5,3,7,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[8,3,7,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[8,5,2,7,6,1,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[5,8,2,7,6,1,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[8,3,7,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[7,3,8,6,5,1,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[9,8,7,6,1,2,3,4,5,10] => [[1,2,3,4,5,10],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5,10] => 111100000
[5,4,7,1,3,8,6,2] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[2,8,5,1,4,7,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[7,2,6,5,8,4,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[5,8,2,3,4,6,1,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[6,1,3,4,2,5,7,8] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[1,5,6,3,2,4,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[6,3,5,2,4,1,7,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[7,8,3,5,2,4,6,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[5,7,4,3,2,6,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[2,6,7,8,4,3,5,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[1,7,8,4,5,3,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,1,8,5,3,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[5,7,4,2,1,6,3,8] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,1,4,7,3,6,2,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[7,4,8,6,3,5,2,1] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[6,1,3,8,7,5,2,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[7,6,2,1,8,3,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,1,3,6,8,2,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,7,5,6,8,2,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[3,6,7,5,8,2,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[1,7,4,5,2,8,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,5,4,2,1,8,6,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[3,6,7,4,2,8,5,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[4,6,3,2,7,8,5,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[7,1,2,4,5,6,3,8] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[7,3,2,1,5,6,4,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,6,2,1,7,5,4,8] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[2,6,7,3,1,5,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[7,2,8,5,6,4,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,6,8,5,4,1,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => 1111010
[7,1,8,4,6,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[7,8,6,3,1,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => 1101010
[7,6,1,4,5,3,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[7,1,5,6,4,3,2,8] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[5,6,3,2,8,1,7,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[8,2,6,3,1,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,2,5,6,7,4,3,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[7,5,3,2,4,1,8,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[7,1,2,3,6,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[6,7,2,8,3,4,5,1] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[3,1,8,4,6,5,7,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[6,1,2,3,8,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[8,1,6,4,5,2,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,6,1,4,2,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,6,4,1,5,7,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[8,6,1,4,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,6,4,1,5,2,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[3,4,7,5,8,2,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,7,1,4,6,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,3,7,6,4,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[5,3,8,6,4,1,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[8,10,1,2,3,4,5,9,6,7] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 101000000
[10,8,1,9,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 101000000
[7,4,5,1,2,8,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[6,4,7,1,8,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[5,7,4,2,3,8,6,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[3,8,2,5,1,7,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[5,8,4,2,3,7,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[4,8,5,2,1,7,3,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[8,5,7,6,1,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[6,8,7,5,2,4,1,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[7,3,1,6,8,5,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[5,3,1,7,4,8,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[8,6,4,1,7,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[4,6,8,3,7,1,2,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[3,5,2,8,4,7,1,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[6,4,8,3,7,2,1,5] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[3,6,2,8,7,4,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[6,8,4,2,7,3,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[5,6,7,9,8,4,3,2,1] => [[1,6,7,8],[2],[3],[4],[5],[9]] => [9,5,4,3,2,1,6,7,8] => 11111000
[3,4,7,8,5,1,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[4,7,3,2,5,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[3,2,7,6,4,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[1,7,8,2,4,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[5,7,4,8,1,3,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[4,3,7,8,1,5,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[8,5,4,2,6,1,7,3] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[3,2,6,8,7,4,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[2,3,7,5,1,8,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[6,3,1,2,8,7,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[5,2,1,3,8,7,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[1,5,8,2,4,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[4,3,6,8,1,5,2,7] => [[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => 0100100
[5,4,6,8,3,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[3,6,8,4,5,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[3,2,7,8,6,4,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[6,2,8,3,1,4,7,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[3,1,2,8,7,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[2,1,3,8,7,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[1,6,8,3,2,4,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[8,5,1,7,2,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,4,1,7,3,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,3,1,6,2,7,5,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[1,3,2,8,7,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[2,1,3,8,7,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,4,3,1,6,5,8,7,10,9] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[1,7,2,4,6,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[5,6,2,8,4,1,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[3,5,8,4,2,1,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[2,5,8,3,1,4,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[2,8,1,3,5,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[5,4,7,8,3,2,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[3,6,8,2,5,1,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[3,4,6,5,8,2,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[2,4,6,7,8,3,5,1] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[1,4,2,5,7,6,3,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,4,2,6,8,5,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[1,2,6,8,3,5,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,6,8,3,5,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,5,7,6,3,2,4,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[1,6,3,2,4,7,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,6,3,2,4,8,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[1,8,7,5,2,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[1,7,4,2,5,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,8,4,7,5,2,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,7,5,2,3,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,7,5,2,6,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,6,3,7,4,2,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,4,7,5,2,6,3,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,3,6,4,8,7,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,3,2,4,8,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,3,8,7,5,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,5,7,6,4,2,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,6,3,2,8,4,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[1,6,3,5,2,7,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,6,3,5,2,8,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[1,8,3,7,5,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,4,7,1,5,3,8,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[4,3,8,2,6,5,7,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[6,5,7,1,4,3,8,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[5,7,6,1,2,4,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,3,4,2,8,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[3,2,1,4,8,5,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[7,3,1,4,2,6,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,4,1,6,2,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[5,4,1,8,2,6,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[5,3,1,8,2,6,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[4,7,1,5,2,6,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[1,8,7,4,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,3,7,8,4,5,6,2] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,3,4,5,6,7,8,9,10,11,12,2] => [[1,2,4,5,6,7,8,9,10,11,12],[3]] => [3,1,2,4,5,6,7,8,9,10,11,12] => 10000000000
[8,4,2,3,1,6,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,4,5,2,8,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[6,4,2,3,5,8,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,8,6,4,5,1,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[8,2,4,6,7,1,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,6,3,1,7,4,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[1,4,3,7,2,8,6,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[8,3,2,1,5,6,7,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[1,7,4,6,3,8,2,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[5,6,4,1,3,8,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[6,3,4,2,7,8,5,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[5,1,8,4,3,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[7,2,8,1,4,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[1,4,8,2,5,6,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[2,3,4,5,10,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[7,5,2,3,6,8,4,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[8,1,4,6,5,3,2,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[8,1,4,7,6,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[4,5,8,1,6,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[6,7,8,4,1,5,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[6,2,7,4,5,3,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,8,2,5,3,4,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[7,4,5,6,1,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[6,1,8,7,4,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[4,8,7,1,6,3,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[1,3,8,2,5,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,6,2,5,8,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[1,6,8,7,2,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,6,8,7,2,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,5,2,4,8,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,2,4,5,8,6,3,7] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 1100000
[1,2,8,3,5,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,3,8,2,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,7,4,2,5,8,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[1,6,4,3,7,5,2,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,5,8,2,3,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[1,3,2,6,8,5,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[1,6,3,2,7,4,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,7,8,5,4,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[1,4,2,7,5,3,8,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[1,5,7,6,2,4,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[1,8,4,7,3,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,3,8,4,2,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,7,4,2,6,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[1,7,4,8,3,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[1,4,8,3,2,7,5,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[1,6,4,7,3,2,8,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[8,2,3,7,4,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[8,5,7,2,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,5,2,1,6,8,3,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[7,6,1,5,4,8,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,6,3,2,1,8,4,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[2,8,7,3,4,6,1,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[6,5,1,3,7,2,8,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[7,1,8,3,4,5,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[3,8,7,1,2,4,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,8,5,3,4,6,2,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[7,1,6,5,4,3,8,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[7,1,5,3,6,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[6,1,5,3,7,8,2,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[5,8,7,1,2,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[6,8,2,3,4,7,1,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[6,1,3,2,4,7,8,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[6,2,1,3,4,7,8,5] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[2,4,5,1,6,7,8,9,3] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[3,4,5,1,6,7,8,2,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[5,6,1,7,8,9,2,3,4] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 00010000
[4,5,6,1,7,8,9,10,2,3] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 001000000
[2,1,4,3,6,7,8,9,5] => [[1,3,5,7,8,9],[2,4,6]] => [2,4,6,1,3,5,7,8,9] => 00100000
[3,2,5,8,7,4,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[4,2,5,8,7,3,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[8,3,4,1,6,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[3,4,8,5,7,2,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,6,4,8,5,7,2,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[5,8,4,7,3,6,2,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[4,2,8,7,3,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[6,5,8,2,1,7,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[6,1,4,3,8,7,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[5,1,3,2,6,8,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[6,1,3,8,7,2,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[1,2,8,4,5,7,3,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[4,2,1,8,7,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[3,2,5,8,7,1,4,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[5,6,3,8,7,2,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[2,5,8,4,7,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[1,6,2,4,8,5,7,3] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[3,1,6,5,8,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[1,8,5,3,4,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,1,7,3,5,4,6,2] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[3,2,4,8,5,7,1,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[8,1,2,4,7,5,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[6,4,5,8,3,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,7,2,4,1,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[7,5,3,4,8,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[4,3,6,5,1,2,7,8] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,8,3,7,6,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => 1111010
[1,3,8,7,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[4,8,7,2,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[1,8,7,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[8,7,2,1,4,3,5,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[2,8,7,1,6,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[4,2,8,7,6,5,1,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[1,2,5,7,4,8,6,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[6,2,1,8,7,5,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[6,3,8,7,4,5,2,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[2,8,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 1100000
[4,5,6,3,1,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[5,7,3,8,4,2,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[5,3,6,2,8,4,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[2,3,6,5,4,8,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[3,7,5,4,8,2,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[5,3,7,1,2,8,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[6,3,8,7,2,5,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[6,8,4,1,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,1,4,6,7,5,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[2,6,8,1,4,7,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[6,4,8,1,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[8,4,1,6,2,7,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[4,8,1,2,6,7,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,2,4,6,1,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[2,1,4,3,6,5,8,9,10,7] => [[1,3,5,7,9,10],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9,10] => 000100000
[2,1,4,3,6,7,8,9,10,5] => [[1,3,5,7,8,9,10],[2,4,6]] => [2,4,6,1,3,5,7,8,9,10] => 001000000
[2,1,4,5,6,7,8,9,10,3] => [[1,3,5,6,7,8,9,10],[2,4]] => [2,4,1,3,5,6,7,8,9,10] => 010000000
[2,3,4,5,6,7,8,1,10,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[3,6,4,8,1,5,2,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[3,6,8,4,1,5,2,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[8,7,1,4,2,3,5,6] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[3,8,6,4,1,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[4,6,1,3,2,8,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[7,1,4,8,2,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[4,5,3,6,7,1,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[1,4,7,8,3,5,2,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[6,1,2,5,4,8,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[8,4,1,7,3,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[2,4,5,6,8,3,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[1,8,2,3,4,5,9,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[8,3,7,2,1,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[8,4,7,6,2,5,1,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[8,4,7,3,6,2,1,5] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[3,8,7,5,6,4,1,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[4,5,2,3,6,7,8,9,1] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[4,3,2,5,6,7,8,9,1] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[5,6,7,2,3,4,8,9,1] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 10010000
[5,3,6,2,4,7,8,9,1] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 11010000
[5,4,3,2,6,7,8,9,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[6,3,7,8,2,4,5,9,1] => [[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => 11001000
[6,7,4,5,2,3,8,9,1] => [[1,3,8,9],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9] => 10101000
[6,4,3,7,2,5,8,9,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 11101000
[7,8,4,5,9,2,3,6,1] => [[1,3,6],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6] => 10100100
[7,4,3,8,9,2,5,6,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6] => 11100100
[7,5,8,3,6,2,4,9,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9] => 11010100
[7,5,4,3,8,2,6,9,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => 11110100
[7,6,5,4,3,2,8,9,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[8,6,4,9,3,7,2,5,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => 11101010
[8,6,5,4,3,9,2,7,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 11111010
[4,5,2,3,6,7,8,9,10,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 101000000
[4,3,2,5,6,7,8,9,10,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => 111000000
[5,6,7,2,3,4,8,9,10,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 100100000
[5,3,6,2,4,7,8,9,10,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9,10] => 110100000
[5,4,3,2,6,7,8,9,10,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[6,7,8,9,2,3,4,5,10,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 100010000
[6,3,7,8,2,4,5,9,10,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9,10] => 110010000
[6,7,4,5,2,3,8,9,10,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9,10] => 101010000
[6,4,3,7,2,5,8,9,10,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => 111010000
[6,5,4,3,2,7,8,9,10,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[7,3,8,9,10,2,4,5,6,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 110001000
[7,4,3,8,9,2,5,6,10,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6,10] => 111001000
[7,5,8,3,6,2,4,9,10,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9,10] => 110101000
[7,5,4,3,8,2,6,9,10,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => 111101000
[7,6,5,4,3,2,8,9,10,1] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[8,5,9,3,6,10,2,4,7,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 110100100
[8,5,4,3,9,10,2,6,7,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => 111100100
[8,9,6,7,4,5,2,3,10,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => 101010100
[8,6,4,9,3,7,2,5,10,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5,10] => 111010100
[8,6,5,4,3,9,2,7,10,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7,10] => 111110100
[8,7,6,5,4,3,2,9,10,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[9,7,5,4,10,3,8,2,6,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => 111101010
[9,7,6,5,4,3,10,2,8,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => 111111010
[10,1,9,2,8,3,7,4,6,5] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 111110000
[1,5,6,3,8,2,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[1,7,5,3,6,2,8,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[1,5,7,3,4,2,8,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,4,5,3,8,2,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[5,1,6,8,3,7,2,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[3,1,5,2,7,4,6,10,9,8] => [[1,2,4,6,8],[3,5,7,9],[10]] => [10,3,5,7,9,1,2,4,6,8] => 100010000
[7,4,1,6,2,3,5,10,9,8] => [[1,2,3,5,8],[4,6,9],[7,10]] => [7,10,4,6,9,1,2,3,5,8] => 010010000
[2,4,1,5,3,6,7,8,9] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[1,4,8,2,6,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,5,1,3,6,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[7,5,1,8,3,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[5,2,8,1,7,4,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[1,2,5,6,8,7,3,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[2,6,7,3,4,1,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[1,5,8,6,7,3,4,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,5,7,6,2,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,2,5,8,6,7,4,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[1,2,6,5,7,3,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,7,5,8,6,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[3,6,5,8,1,2,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[2,5,6,8,1,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[5,3,6,8,1,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[4,5,6,8,2,3,7,1] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[7,3,6,8,5,2,1,4] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[2,4,7,8,5,6,3,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,4,7,8,5,1,3,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[2,8,7,5,1,6,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[8,7,6,4,2,1,5,3] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[5,3,8,2,4,6,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[4,5,8,3,2,6,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[5,8,2,1,4,6,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[4,1,5,8,3,6,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,7,8,5,2,3,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[2,6,7,8,4,3,1,5] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,1,2,3,4,5,8,6,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[7,1,2,6,3,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[8,1,2,6,5,3,7,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[7,4,1,8,2,5,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[8,2,3,1,6,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[8,2,1,7,4,3,5,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[7,2,6,8,4,1,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[1,7,4,3,2,5,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[1,7,4,3,6,2,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[5,2,1,6,3,4,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[3,8,4,5,7,2,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[3,8,4,7,5,6,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => 1111000
[4,2,8,6,3,7,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[7,4,1,8,5,3,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[3,5,6,8,4,7,1,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[6,2,8,4,5,3,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[4,5,2,1,8,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[4,7,3,8,2,6,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,7,3,1,8,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[6,2,1,3,7,4,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[7,2,5,8,1,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[8,3,6,7,2,4,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[3,8,5,6,2,7,4,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[3,6,5,8,4,2,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[8,4,2,3,6,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[6,1,2,4,5,7,8,3] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[4,5,1,3,7,6,8,2] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[3,5,4,8,6,2,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[3,6,2,4,5,8,7,1] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[8,1,5,3,6,4,7,2] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[2,6,4,8,3,1,5,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[2,6,4,1,5,8,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[7,6,5,4,1,8,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[2,5,1,4,6,7,3,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[7,6,5,2,8,4,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[3,1,6,5,2,8,7,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[1,7,2,4,3,5,8,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[3,8,1,7,4,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[6,8,2,4,5,3,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[8,6,3,2,7,4,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[2,7,3,1,8,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[1,2,8,3,5,6,4,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[3,5,7,4,8,1,6,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,6,8,4,1,2,5,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[4,7,8,5,2,1,3,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,1,5,2,8,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[8,1,3,5,7,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[3,1,6,4,8,5,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[3,2,6,4,1,5,7,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[4,2,5,1,8,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[6,8,2,7,1,4,3,5] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => 1010100
[1,8,4,7,3,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,6,3,1,5,7,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[1,2,5,4,7,8,3,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[4,7,1,2,5,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[6,8,4,1,3,7,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[3,2,6,1,7,8,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[7,6,4,1,8,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[5,4,1,6,7,3,2,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[7,4,1,6,5,8,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[8,5,4,1,6,7,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[1,3,4,8,5,2,6,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[8,2,4,6,1,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[1,5,7,2,3,6,8,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[7,3,1,4,2,5,8,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[4,3,5,1,6,2,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[8,6,3,5,4,1,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[8,3,2,6,1,5,4,7] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[4,8,1,7,6,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,5,7,6,2,1,3,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[5,4,8,3,1,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,1,4,8,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[4,8,1,7,6,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[4,3,8,7,2,6,1,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => 0101010
[3,8,7,2,6,4,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,8,7,4,6,1,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[8,7,6,3,5,4,1,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 1111010
[2,8,4,7,6,1,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[2,5,4,8,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[5,4,8,2,1,3,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,8,7,2,6,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[1,8,4,7,6,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[1,8,3,7,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[1,4,3,8,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[7,1,5,4,6,2,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[7,4,1,3,6,2,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[2,6,8,3,1,7,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[2,5,4,8,1,7,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[7,5,2,4,8,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,8,2,6,3,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[7,2,6,5,8,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[5,6,3,1,4,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[3,4,7,8,5,1,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[5,3,6,4,8,7,2,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[1,5,4,8,6,2,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[7,6,2,5,3,8,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[4,8,5,1,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[4,5,1,3,8,6,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[7,4,2,3,6,8,5,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[7,3,6,8,5,1,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[7,5,8,1,6,2,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[5,7,8,1,6,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,5,2,4,8,3,1,6] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,8,3,1,6,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[6,7,8,4,3,1,5,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[1,7,5,8,2,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[7,5,2,8,1,4,6,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[3,7,8,2,6,5,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,7,8,2,1,6,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[6,7,8,2,5,4,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,8,1,6,2,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[5,6,1,4,3,8,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[7,1,6,8,5,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => 1111100
[5,6,8,1,2,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[4,8,1,2,7,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[4,6,1,2,8,5,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[6,4,7,3,5,2,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[5,7,8,4,2,1,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[3,1,6,2,5,7,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[6,2,1,4,5,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[1,2,3,4,5,8,9,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[1,2,3,4,7,9,5,8,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 10100000
[1,3,5,8,2,6,7,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[3,9,1,4,5,6,7,8,2] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => 10100000
[6,4,5,8,3,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[2,6,8,4,3,1,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[1,6,7,4,2,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,4,7,2,3,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[3,1,2,6,7,8,5,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,6,3,4,7,8,2,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[3,1,5,7,6,2,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,1,7,6,5,2,8,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[1,4,7,6,8,3,2,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[4,3,1,8,6,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[3,1,5,2,8,7,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[1,2,8,4,3,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[2,6,1,8,7,4,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[7,5,1,8,3,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[5,3,1,8,6,2,4,7] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,1,8,6,3,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,5,4,2,8,6,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[8,3,1,6,4,2,5,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[1,7,4,8,3,5,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,3,2,4,8,5,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[5,7,8,1,4,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[2,6,3,8,1,7,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[2,5,1,8,6,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,8,6,4,1,7,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[1,8,4,2,7,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[6,5,1,7,2,8,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[2,8,1,7,5,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[1,2,8,7,6,4,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[4,1,8,7,6,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[4,8,2,6,3,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,3,5,7,1,6,2,8] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[6,4,2,5,3,1,7,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,1,5,8,2,7,4,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[6,2,1,5,4,3,7,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,1,8,5,4,6,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[6,1,8,4,5,3,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[4,3,5,7,1,6,8,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[6,3,8,4,5,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[2,6,1,8,5,7,4,3] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[6,3,8,4,5,2,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[6,3,8,4,5,2,7,1] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[2,1,6,8,5,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[3,2,6,8,5,4,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[4,1,8,5,2,6,3,7] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[3,1,6,8,5,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[6,5,8,7,4,2,1,3] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[6,5,8,7,2,4,1,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[6,2,8,4,5,7,1,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[6,1,8,4,5,7,3,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,9,2,10,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[2,8,1,9,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[3,6,2,4,8,5,7,1] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[2,4,8,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[3,6,8,2,5,7,4,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[2,6,8,5,4,3,7,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[3,6,8,2,5,4,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[4,6,8,3,2,5,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,6,2,8,3,5,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[5,2,6,8,4,1,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[4,6,3,8,7,2,5,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[3,5,8,2,7,4,6,1] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[2,6,8,5,7,4,3,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[2,4,8,7,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[7,5,1,6,3,2,8,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[2,7,6,3,4,1,8,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[1,5,4,8,6,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[8,2,1,7,5,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[6,2,8,1,7,5,3,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[3,5,1,8,7,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[1,4,2,3,6,5,8,7,10,9] => [[1,2,3,5,7,9],[4,6,8,10]] => [4,6,8,10,1,2,3,5,7,9] => 000100000
[4,7,8,3,5,6,1,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[2,1,3,4,5,6,9,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,1,3,4,5,6,7,10,8,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[3,2,5,6,8,4,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[4,2,5,7,3,8,1,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[4,7,3,1,6,8,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[1,7,4,6,8,3,2,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[4,7,2,5,6,3,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[5,4,1,3,7,8,2,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,6,4,1,8,3,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[2,3,7,8,5,1,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[1,2,6,7,4,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[10,2,3,4,5,6,7,8,1,9] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[5,8,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[3,10,1,4,5,6,7,8,9,2] => [[1,2,5,6,7,8,9],[3,4],[10]] => [10,3,4,1,2,5,6,7,8,9] => 101000000
[8,6,2,3,7,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,7,9,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,9],[8]] => [8,7,9,1,2,3,4,5,6] => 10100000
[4,5,2,8,6,1,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[3,4,8,2,5,6,1,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[5,8,3,6,4,1,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[4,3,8,5,2,7,1,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[2,8,4,5,1,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[3,2,5,8,4,7,1,6] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => 0100100
[4,6,1,3,8,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[8,6,1,2,3,5,7,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[5,1,7,8,3,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,3,6,7,4,2,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[5,4,2,8,6,7,3,1] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[3,7,2,6,8,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[4,6,5,2,7,8,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,1,8,6,4,2,7,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[6,2,1,8,5,7,4,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[5,4,6,2,3,1,8,7] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[2,1,7,6,8,4,5,3] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[6,4,7,2,8,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,3,2,7,8,4,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[4,7,3,1,5,2,8,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[2,7,3,1,8,5,4,6] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[1,8,2,7,3,5,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[1,7,4,8,6,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[3,8,5,2,6,1,7,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[3,7,4,8,5,2,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[8,1,2,6,5,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[3,7,4,2,5,6,1,8] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[6,8,7,1,3,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[3,4,2,8,6,7,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,6,1,5,2,7,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[8,1,2,6,3,5,7,4] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[3,7,8,4,2,5,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[3,4,2,8,5,1,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[1,4,3,2,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => 11000000
[6,8,2,7,5,4,1,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[1,8,4,3,7,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[4,3,8,7,1,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[3,2,8,7,1,6,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[2,7,8,1,4,5,6,3] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[5,7,6,8,2,1,3,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[6,1,5,3,8,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,8,6,2,5,4,7,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[6,2,7,4,8,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[2,8,5,1,4,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[6,8,2,7,5,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[8,3,4,5,6,1,7,2] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[5,3,6,4,7,2,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[4,2,6,5,7,3,1,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,2,6,5,8,4,1,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[3,2,6,5,8,7,1,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[5,2,6,4,8,7,1,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[5,4,7,6,8,2,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[6,4,7,5,8,3,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[4,2,7,5,8,6,1,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[4,3,7,2,8,5,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,3,6,2,8,5,1,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,3,7,6,8,2,1,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,3,7,2,8,6,1,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[3,2,6,4,8,7,1,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[5,2,7,6,8,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[3,2,7,6,8,4,1,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[3,2,7,6,8,5,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[4,8,1,7,3,2,5,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[3,7,4,8,2,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[3,8,5,2,6,4,7,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,2,5,3,7,8,6,1] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[5,3,6,2,4,1,8,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[7,8,6,2,3,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[5,8,2,6,3,7,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[4,8,2,3,7,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[7,5,6,2,3,8,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[2,8,4,3,7,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[3,8,5,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[2,7,6,3,8,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[7,4,2,5,6,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[6,2,7,5,3,8,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => 1100100
[2,4,8,3,7,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,7,3,8,2,5,6,1] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[4,5,3,7,1,2,6,8] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[8,5,6,4,1,3,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[6,7,2,8,4,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,3,2,8,4,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[4,7,8,3,1,5,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,5,8,1,3,2,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[3,1,5,8,6,4,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[2,5,6,1,8,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[3,6,2,8,4,7,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[8,5,6,3,1,4,2,7] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[5,7,8,3,4,6,2,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[3,5,1,8,6,4,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[7,5,3,8,6,4,2,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[5,1,3,8,6,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,5,8,3,6,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[7,5,8,3,6,4,2,1] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[1,5,8,6,3,4,2,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[3,7,5,8,2,6,4,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[5,7,8,1,4,6,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[4,2,5,1,3,7,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[8,1,7,5,4,2,6,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[1,2,6,4,7,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,6,4,3,7,2,5,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[5,7,8,3,2,6,1,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[7,3,1,8,6,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[3,4,5,6,7,1,2,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,5,4,7,1,8,6,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[6,1,3,8,4,5,2,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[2,1,8,7,3,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[5,8,2,7,1,3,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[2,6,5,4,1,3,7,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[5,4,2,1,8,7,3,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[6,2,1,5,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => 1100100
[1,4,2,5,6,8,7,3] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,8,6,2,4,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[2,3,4,7,5,8,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[6,5,2,8,7,4,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[7,8,5,4,2,1,6,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[7,5,2,8,6,4,3,1] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[7,8,3,2,6,5,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[8,2,6,3,7,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[1,6,2,7,8,4,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[8,6,2,7,5,4,1,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[1,6,8,2,7,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[7,6,3,2,8,1,5,4] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[8,6,3,7,2,4,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[1,5,3,7,4,2,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[1,7,6,4,3,2,8,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[1,2,7,4,3,8,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,5,4,2,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,5,3,2,4,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => 1100000
[1,5,4,2,3,7,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,2,7,6,3,5,8,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[3,2,7,5,6,1,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[8,1,4,3,5,2,7,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[1,3,5,2,4,7,6,9,8,10] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[8,3,6,5,4,1,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[6,5,7,1,2,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[7,1,4,2,3,8,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[8,1,2,5,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,6,5,2,4,1,7,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[6,8,5,2,4,3,1,7] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[3,4,2,8,6,7,1,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[4,6,7,2,5,1,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[3,6,2,5,1,7,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[3,4,2,7,8,1,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[7,1,4,2,5,8,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[7,8,5,1,2,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[5,8,1,4,3,6,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,2,3,8,7,4,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[4,2,6,8,1,3,5,7,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,6,2,8,1,3,5,7,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,6,8,2,1,3,5,7,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,6,2,7,8,1,3,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[6,2,3,7,1,4,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[4,2,6,8,10,1,3,5,7,9] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[4,6,2,8,10,1,3,5,7,9] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[4,6,8,2,10,1,3,5,7,9] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[4,6,8,10,2,1,3,5,7,9] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[4,6,7,8,2,1,3,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[8,6,3,2,1,7,5,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[8,6,4,9,7,5,3,2,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => 11101010
[8,6,4,2,9,7,5,3,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[6,2,7,3,8,4,9,5,1] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 10001000
[4,5,6,7,8,2,9,3,1] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[4,5,6,7,1,8,2,9,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[9,7,10,8,6,5,4,3,2,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => 111111010
[9,7,5,10,8,6,4,3,2,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => 111101010
[8,5,2,9,6,3,10,7,4,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => [8,5,9,10,2,6,7,1,3,4] => 100100100
[7,3,8,4,9,5,1,10,6,2] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => 010001000
[6,1,3,4,2,5,8,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,5,7,6,8,2,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[5,7,1,3,8,4,2,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[1,6,2,4,3,5,8,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,3,7,6,1,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[1,5,6,3,7,8,4,2] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[1,5,7,6,3,8,4,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[7,3,5,6,1,8,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[1,6,3,7,8,5,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[3,7,5,6,1,8,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[5,6,2,8,4,7,3,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[7,3,5,4,1,2,6,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,8,5,1,3,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,5,1,3,8,6,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[7,1,3,8,2,5,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[3,1,5,4,7,2,6,8] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,7,6,1,3,8,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,7,6,3,8,1,4,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[5,1,3,7,6,2,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[1,6,3,7,2,4,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[5,3,2,4,8,1,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[6,8,5,3,2,7,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[8,3,7,2,6,5,1,4] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => 1101010
[4,6,2,7,1,3,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,5,1,4,7,2,8,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[5,1,4,8,7,3,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,1,3,4,2,7,8,5] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,5,3,8,4,2,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,4,2,1,8,3,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[3,1,7,4,2,6,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,4,8,2,3,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,1,7,3,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,3,4,5,9,6,7,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[2,3,4,9,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[2,3,9,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[2,3,4,5,6,7,10,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[2,3,4,5,6,10,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[2,3,4,10,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[2,3,10,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[5,6,2,3,7,4,1,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[6,2,4,7,3,5,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[2,5,6,3,1,8,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[4,5,1,2,7,8,6,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[4,8,5,1,2,6,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[7,2,8,1,4,5,3,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[6,1,4,7,3,8,2,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[2,8,4,6,3,1,5,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[8,2,6,3,5,1,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[3,7,4,1,5,8,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[8,5,1,3,6,7,2,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,2,4,1,3,6,7,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[5,6,1,3,7,2,8,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,1,8,2,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,7,1,8,6,4,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[7,8,1,5,6,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,1,8,5,6,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[7,1,5,8,6,4,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[8,1,3,5,6,4,2,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,3,8,5,6,4,2,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,3,5,8,6,4,2,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,5,7,8,6,4,2,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[3,2,5,4,7,6,9,8,10,1] => [[1,4,6,8,10],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8,10] => 100010000
[1,8,2,6,5,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[8,6,1,5,2,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[8,5,1,6,2,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[7,6,1,2,3,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[2,7,8,4,1,3,5,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[6,8,1,2,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[8,1,3,5,6,7,2,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[8,1,2,5,3,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[6,8,7,5,2,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[2,8,6,3,5,1,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[1,6,4,8,5,7,3,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,6,8,5,2,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[2,1,8,3,4,5,6,7,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[3,1,6,4,2,5,8,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[3,1,7,8,6,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[4,3,5,1,7,8,6,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[1,8,5,2,3,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,9,6,2,3,4,5,8,7] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => 10100000
[1,5,8,2,3,4,7,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[1,2,7,8,4,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,2,3,4,5,6,9,7,10,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[2,3,4,5,6,9,10,1,7,8] => [[1,3,4,5,6,7,8],[2,9,10]] => [2,9,10,1,3,4,5,6,7,8] => 001000000
[4,3,8,7,6,2,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[5,4,8,2,7,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[4,6,5,2,1,7,8,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,5,6,2,1,4,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[4,3,6,5,1,7,8,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[1,2,3,4,5,7,6,8,9,10] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => 100000000
[1,2,3,5,4,6,7,8,9,10] => [[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => 100000000
[5,8,1,4,2,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[4,5,8,2,3,1,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[3,5,1,8,6,4,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[1,2,5,6,8,3,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[5,3,8,4,6,2,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[7,4,8,1,5,2,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[8,3,2,1,6,5,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[4,1,5,6,8,7,2,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[1,2,5,6,8,4,7,3] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[1,5,6,8,4,7,2,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[6,8,1,4,5,7,2,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[5,6,8,2,3,4,7,1] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[6,5,1,2,4,8,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[5,8,7,2,1,3,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[5,1,7,2,8,6,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,1,5,3,4,8,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[5,8,6,3,2,1,4,7] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[8,7,1,6,3,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => 1111100
[3,2,1,7,8,6,4,5] => [[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => 0100100
[8,6,7,1,2,5,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,5,6,4,2,8,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[7,5,1,4,8,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[3,2,8,1,7,5,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[6,1,7,8,4,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[7,4,3,1,8,5,2,6] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[6,8,1,7,3,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,8,9,10,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 001000000
[1,7,2,8,9,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[1,6,2,7,8,9,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[3,4,2,1,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[4,3,1,2,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => 11000000
[3,4,2,1,5,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[4,5,2,1,3,6,7,8,9] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[3,4,2,5,1,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[4,3,1,2,5,6,7,8,9,10] => [[1,2,5,6,7,8,9,10],[3],[4]] => [4,3,1,2,5,6,7,8,9,10] => 110000000
[7,8,3,5,2,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[6,3,7,5,2,4,1,8] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[6,2,4,5,7,3,1,8] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => 1110000
[1,3,8,2,4,6,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[6,1,7,3,4,2,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[3,1,7,2,5,8,6,4] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[2,8,7,6,3,5,1,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[7,1,6,8,2,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,2,8,4,5,6,3,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[5,4,3,1,2,6,7,8,9] => [[1,2,6,7,8,9],[3],[4],[5]] => [5,4,3,1,2,6,7,8,9] => 11100000
[6,5,4,3,1,2,7,8,9] => [[1,2,7,8,9],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9] => 11110000
[8,5,4,3,9,1,2,6,7] => [[1,2,6,7],[3,9],[4],[5],[8]] => [8,5,4,3,9,1,2,6,7] => 11101000
[6,5,4,3,1,2,7,8,9,10] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9,10] => 111100000
[7,6,5,4,3,1,2,8,9,10] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8,9,10] => 111110000
[9,6,5,4,3,10,1,2,7,8] => [[1,2,7,8],[3,10],[4],[5],[6],[9]] => [9,6,5,4,3,10,1,2,7,8] => 111101000
[6,8,7,3,2,4,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[3,8,6,1,4,5,7,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[2,7,6,3,8,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[4,2,3,5,1,8,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[2,3,4,5,6,10,1,7,8,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[2,3,4,5,10,1,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[2,3,4,10,1,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[5,8,7,2,6,4,1,3] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => 1101010
[6,8,5,1,7,4,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[6,8,5,2,7,4,1,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[7,5,8,2,6,4,1,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[6,3,2,8,1,7,5,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[2,1,3,4,5,6,8,7,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[5,3,8,7,6,2,1,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[7,6,2,5,3,1,4,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[4,3,1,7,6,2,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[4,5,3,1,2,8,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[2,4,5,3,1,8,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[5,7,6,2,3,1,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[7,5,4,1,3,2,6,8] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[2,4,8,5,6,3,1,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[2,5,7,4,1,3,6,8] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[5,7,4,1,3,2,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[2,6,8,4,5,3,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[5,2,3,7,4,1,6,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[4,5,1,6,3,2,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[5,1,6,3,2,4,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[4,2,5,1,6,3,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,3,4,8,7,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[8,3,1,6,7,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[8,4,6,5,7,2,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[8,5,3,6,4,7,2,1] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => 1110100
[1,2,8,3,4,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[8,2,4,7,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[7,3,8,5,4,2,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[6,3,4,7,2,8,5,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[8,1,7,3,6,4,2,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[7,1,8,5,3,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[6,8,4,3,1,5,2,7] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[1,5,2,4,7,8,6,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[5,2,7,4,3,8,6,1] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 1100100
[2,7,3,4,8,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,7,6,8,3,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[2,7,4,5,3,8,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,2,3,7,4,5,8,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,3,5,2,6,8,1,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[6,4,2,7,1,5,8,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[4,2,5,3,6,7,8,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[1,6,5,2,4,7,3,8] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => 1110000
[1,8,7,2,4,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,8,7,2,5,4,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[1,5,4,2,7,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,5,4,2,8,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,6,8,3,5,2,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[1,7,6,2,3,5,8,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[1,2,8,3,6,5,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[1,4,7,3,2,8,6,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,8,6,5,2,4,7,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[1,6,8,4,3,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[1,7,5,3,2,6,4,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[1,2,6,5,3,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,6,5,2,8,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,8,3,7,2,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[5,4,2,8,7,6,1,3] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => 0101010
[7,3,2,1,6,5,8,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[7,3,2,6,1,5,8,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,8,5,2,7,1,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[6,8,2,5,1,7,4,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[6,8,5,7,2,1,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[6,5,8,2,7,4,1,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[1,6,4,8,5,3,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[4,2,6,7,8,1,3,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[5,1,7,2,6,4,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[4,1,7,6,5,8,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[4,2,3,6,7,8,1,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[2,4,3,6,7,8,1,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[6,5,1,3,7,8,2,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[7,2,1,4,3,5,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[6,1,2,4,3,7,8,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[8,1,5,4,2,3,6,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[7,1,2,4,6,3,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[7,1,2,6,5,3,8,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[7,5,6,1,2,4,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[7,1,4,5,2,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[6,1,8,5,7,2,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[1,6,7,5,8,3,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[6,1,7,5,8,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[6,1,4,7,8,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[8,1,2,3,7,5,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[6,1,8,7,5,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,3,1,2,4,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[8,3,1,2,4,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[6,3,1,2,4,7,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[6,7,1,4,2,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[6,1,7,4,8,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,7,8,5,1,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[8,6,5,4,3,2,7,9,1] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => 11111100
[9,6,5,4,3,2,7,1,8] => [[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => 11111100
[8,7,6,5,4,3,2,9,1,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[9,2,3,4,5,6,1,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[4,3,8,5,6,2,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[4,3,8,6,7,2,5,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[6,3,8,1,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[6,2,5,4,7,1,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[8,3,6,7,5,1,2,4] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => 1100100
[4,6,8,2,3,5,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[3,5,8,6,2,1,4,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[2,4,8,5,6,1,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[4,8,2,5,6,1,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,3,8,4,2,7,6,1] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => 1010100
[2,8,5,3,1,4,7,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[8,7,2,4,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,7,3,2,1,6,4,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[7,8,3,4,6,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,7,3,6,5,2,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[2,8,7,4,6,3,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[2,8,7,4,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,4,1,3,2,5,7,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[7,3,8,6,2,1,4,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[5,8,6,4,7,2,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[3,6,8,5,7,4,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[6,7,5,2,4,8,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[8,1,2,7,5,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[8,2,7,3,4,6,1,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[6,7,5,4,8,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[8,3,5,6,4,7,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => 1111000
[8,5,6,2,4,3,7,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[6,5,8,1,3,4,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[6,8,4,5,1,3,2,7] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,4,8,7,5,3,2,1] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[6,7,1,4,3,2,8,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[5,8,1,3,4,2,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[1,5,6,3,2,8,7,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[3,2,7,6,8,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[1,3,8,5,2,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,4,1,5,2,8,7,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[2,6,1,5,7,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,6,5,1,7,2,4,8] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[3,5,7,6,2,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,5,8,2,1,4,6,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,5,8,2,4,6,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[5,3,8,2,1,4,6,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[1,5,8,4,2,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[5,8,2,1,4,3,6,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,8,2,4,1,6,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,8,1,4,6,2,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[1,5,8,4,6,7,2,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[5,1,8,4,6,7,2,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[3,8,4,6,7,2,1,5] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,8,4,6,7,2,5,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,6,2,4,5,3,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[1,8,6,4,5,7,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,6,2,4,5,3,1,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[1,8,6,4,2,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[3,8,1,6,2,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[3,8,6,2,1,4,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,8,6,2,4,1,5,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[3,8,6,2,4,5,7,1] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,3,6,2,4,5,1,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,1,3,6,2,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[8,3,6,7,2,1,4,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[3,8,6,7,2,1,4,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[8,2,6,4,5,1,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[1,8,4,6,7,5,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,4,6,2,3,7,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[8,4,7,2,1,3,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,4,2,1,5,3,7,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[8,2,1,4,7,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[1,6,2,5,8,4,7,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[2,1,5,8,7,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[4,3,1,7,8,5,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[5,3,2,7,8,6,4,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[2,8,3,7,1,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,8,7,1,5,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[7,3,5,6,4,2,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[3,8,4,2,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[3,2,4,8,7,5,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[2,6,8,1,5,3,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[3,2,5,6,8,1,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[3,8,1,6,4,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[8,4,2,7,3,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[1,8,6,4,7,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[7,4,1,5,8,6,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[1,3,8,7,6,4,2,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[2,8,5,1,7,4,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[1,8,6,4,7,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[2,7,4,6,3,8,5,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[3,4,5,6,7,8,1,2,9,10] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[3,4,5,6,1,2,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[5,1,6,7,8,9,2,3,4] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 00010000
[5,3,1,6,2,8,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[3,5,4,1,7,8,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[3,2,5,7,8,4,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,1,5,7,8,4,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[6,1,3,7,4,5,2,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[2,6,1,8,5,3,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[1,8,2,7,5,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[2,5,4,1,8,6,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[7,3,5,1,4,8,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[7,1,3,2,4,5,6,8] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[3,8,7,1,4,2,5,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[8,5,4,6,1,7,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[5,3,2,1,4,6,8,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[5,3,2,4,7,1,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,8,1,7,3,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[5,3,2,4,6,8,1,7] => [[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => 1101000
[1,7,6,4,2,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[3,6,7,2,5,1,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[2,6,5,7,1,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[3,5,1,7,8,4,6,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[1,5,2,4,6,8,7,3] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[8,1,2,4,7,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[3,4,1,8,6,7,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[6,1,3,2,8,5,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[3,1,2,4,5,6,7,9,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[8,5,3,2,4,7,1,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[6,7,4,2,5,8,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[8,5,4,2,6,3,1,7] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[8,5,2,1,6,4,3,7] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[5,3,7,1,4,6,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,8,5,7,6,1,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[3,8,6,4,7,2,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[2,8,3,1,7,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,5,6,4,8,1,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,7,2,1,6,8,3,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[4,7,8,5,1,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[4,5,2,1,6,7,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,5,6,3,1,7,8,2] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[3,5,6,7,4,1,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[3,5,1,4,2,6,7,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[1,3,8,4,6,2,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,8,4,2,3,7,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,4,8,3,2,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,3,7,6,5,2,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[1,2,8,6,7,5,4,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[1,7,5,4,3,2,6,8] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[8,9,10,1,5,6,7,3,4,2] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,1,5,6,3,4,7,2] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,6,1,3,4,7,2] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,6,3,4,7,1,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => 010100100
[8,9,5,6,10,1,3,4,7,2] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,5,6,10,3,4,7,1,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => 010100100
[8,9,10,1,5,6,7,3,2,4] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,1,5,6,3,7,2,4] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,1,5,6,3,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,6,1,3,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,6,3,1,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,6,3,2,4,7,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 110100100
[8,9,5,6,10,1,3,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,5,6,10,3,1,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,5,6,10,3,2,4,7,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 110100100
[8,9,10,1,5,3,6,7,2,4] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,1,3,6,7,2,4] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,5,10,1,3,6,7,2,4] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,1,5,3,6,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,1,3,6,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,3,6,1,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,10,5,3,6,2,4,7,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 110100100
[8,9,5,10,1,3,6,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,5,10,3,6,1,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,5,10,3,6,2,4,7,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 110100100
[8,9,5,3,6,10,1,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,9,5,3,6,10,2,4,7,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 110100100
[8,5,9,10,1,3,6,7,2,4] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,5,9,10,1,3,6,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,5,9,10,3,6,1,2,4,7] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 101001000
[8,5,9,10,3,6,2,4,7,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 110100100
[3,8,5,7,4,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[7,6,3,2,5,1,8,4] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[4,2,5,7,8,6,3,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[5,2,7,8,3,6,1,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[8,5,1,2,3,7,4,6] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => 1010000
[8,4,1,3,2,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[8,3,5,1,2,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[3,8,6,2,7,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[3,8,4,2,1,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,3,1,7,5,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[8,4,1,7,5,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,4,7,6,5,2,1,3] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => 1111010
[8,3,1,4,7,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[1,4,6,8,2,5,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[3,6,2,4,8,1,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[7,3,8,2,4,6,1,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[1,5,2,6,8,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[4,5,3,1,8,2,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[7,2,8,4,1,3,5,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[6,1,7,3,2,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[6,2,1,7,3,8,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[5,8,2,1,3,4,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[4,2,5,1,8,3,6,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[7,4,2,8,3,1,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,4,2,8,3,5,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[10,1,8,9,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 101000000
[3,7,6,5,2,4,8,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[1,4,7,8,6,2,5,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[4,5,7,1,8,6,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[2,3,8,6,5,1,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[5,4,7,3,1,2,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[3,1,2,6,5,7,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[7,3,2,6,1,4,8,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[3,2,5,6,8,4,1,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[7,2,6,8,5,4,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => 1111100
[3,7,5,6,2,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[1,3,4,5,6,7,2,9,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[4,2,5,1,3,6,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[5,3,4,2,7,1,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[6,5,2,1,3,8,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[2,4,3,5,6,8,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[6,3,1,2,7,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[8,4,7,1,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[7,4,6,1,8,5,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[8,5,6,7,2,1,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[2,5,6,3,8,4,7,1] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[1,7,6,2,8,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[4,1,3,8,5,2,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[1,8,5,4,7,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,2,5,6,4,3,1,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[2,4,3,8,6,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[1,8,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[5,1,7,3,2,8,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[5,7,8,1,3,2,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[8,2,4,1,6,7,3,5] => [[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => 1001000
[8,7,3,6,2,4,1,5] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,2,7,5,3,4,1,6] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[6,3,1,2,8,7,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,4,7,2,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[7,6,3,4,2,1,8,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,4,6,2,3,7,1,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[6,3,4,2,7,8,1,5] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[5,6,3,7,8,2,1,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 1101000
[8,6,3,4,7,2,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[4,5,6,2,7,8,3,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,5,6,2,7,1,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,5,6,2,1,7,8,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,5,6,2,1,7,3,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,5,1,6,7,3,2,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[2,5,1,8,3,7,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[7,1,5,4,2,6,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[9,8,7,6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => 11111110
[10,9,8,7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => 111111110
[3,2,4,5,6,7,9,1,8] => [[1,4,5,6,7,8],[2,9],[3]] => [3,2,9,1,4,5,6,7,8] => 10100000
[7,3,4,6,2,8,1,5] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[7,5,4,1,6,8,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[8,5,2,1,7,6,3,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[7,2,1,8,5,6,4,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[2,5,1,4,6,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[8,5,6,4,3,1,7,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[8,3,5,6,7,1,2,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,1,4,7,3,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[5,3,7,6,4,8,2,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[3,7,6,4,2,8,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[8,6,1,4,3,7,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,4,1,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[8,3,4,1,6,7,5,2] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[8,1,4,2,6,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[5,8,1,4,3,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[5,6,4,3,8,2,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[1,6,4,3,8,2,7,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[7,8,1,4,3,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[7,1,8,4,5,3,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[4,3,2,7,5,1,8,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[2,1,7,4,3,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[7,1,2,4,5,6,8,3] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[2,8,7,1,4,5,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[5,8,3,1,4,6,7,2] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[5,6,3,4,1,7,8,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[2,5,3,1,4,7,8,6] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[4,3,1,5,2,7,8,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[5,2,3,1,4,7,8,6] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[5,4,8,7,2,3,1,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[8,3,5,1,4,6,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[5,8,2,1,7,4,3,6] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[1,5,4,7,3,8,6,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[7,4,1,3,8,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[2,1,8,4,7,6,3,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[3,5,2,4,7,8,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[7,5,6,3,8,2,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[1,6,2,7,4,5,8,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[8,4,1,6,2,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[7,3,4,5,1,6,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[8,4,2,7,6,1,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[8,4,7,1,2,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,4,7,6,1,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,7,6,2,1,5,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[5,7,8,1,6,2,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[6,8,7,4,2,5,1,3] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => 1101010
[6,8,4,5,7,2,1,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[6,5,4,3,2,7,1,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[5,4,3,2,6,1,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[4,3,2,5,1,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[3,2,4,1,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[4,2,6,3,5,1,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[5,8,4,7,1,3,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,8,3,1,5,4,7,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[5,1,3,6,7,4,2,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[6,1,2,4,7,3,5,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,3,5,2,7,4,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[1,3,5,7,2,4,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[1,3,5,7,2,4,6,9,8,10] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[1,3,5,7,2,9,4,6,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[5,6,1,4,8,3,2,7] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[5,6,2,1,3,7,4,8,9] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 10010000
[3,2,5,1,6,4,7,8,9] => [[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => 10100000
[6,7,2,1,8,3,4,9,5] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 10001000
[4,3,2,6,1,7,5,8,9] => [[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => 11010000
[5,4,3,2,7,1,8,6,9] => [[1,6,8,9],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9] => 11101000
[6,5,4,3,2,8,1,9,7] => [[1,7,9],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9] => 11110100
[2,4,1,5,3,6,7,8,9,10] => [[1,3,5,6,7,8,9,10],[2,4]] => [2,4,1,3,5,6,7,8,9,10] => 010000000
[5,6,2,1,3,7,4,8,9,10] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 100100000
[3,2,5,1,6,4,7,8,9,10] => [[1,4,6,7,8,9,10],[2,5],[3]] => [3,2,5,1,4,6,7,8,9,10] => 101000000
[6,7,2,1,8,3,4,9,5,10] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 100010000
[4,3,2,6,1,7,5,8,9,10] => [[1,5,7,8,9,10],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9,10] => 110100000
[7,8,9,3,2,1,4,5,10,6] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 110001000
[5,4,3,2,7,1,8,6,9,10] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9,10] => 111010000
[6,5,4,3,2,8,1,9,7,10] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9,10] => 111101000
[7,6,5,4,3,2,9,1,10,8] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8,10] => 111110100
[5,2,6,3,7,8,4,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[2,4,1,3,7,8,6,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,6,1,5,7,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[5,1,6,4,7,8,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,7,4,8,1,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[3,7,5,6,8,2,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[2,7,1,6,8,4,5,3] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[2,4,5,8,3,1,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[1,4,7,5,8,3,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[2,6,8,7,3,5,1,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[1,3,6,2,5,8,7,4] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[6,2,5,1,3,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[2,6,5,1,3,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[5,6,4,1,2,7,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[5,4,6,1,3,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,7,1,4,3,2,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[7,8,5,3,2,1,6,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[1,2,6,7,8,4,5,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[6,1,4,8,2,7,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[5,4,1,7,3,2,8,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[7,3,4,5,1,8,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[6,3,2,5,7,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[4,5,2,7,6,3,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[2,6,7,8,3,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[6,3,2,5,1,7,8,4] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[4,6,3,7,8,2,1,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[5,6,7,1,8,4,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[1,7,3,2,8,6,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[3,7,1,2,8,6,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[8,1,5,7,3,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[5,8,2,7,6,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[2,8,4,7,6,3,1,5] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[1,8,2,4,7,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,5,8,7,1,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[1,8,2,4,6,7,5,3] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[2,5,1,8,4,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[3,4,2,8,1,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[1,6,5,2,8,7,3,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[8,1,7,3,5,2,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,1,3,2,7,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[7,3,4,8,6,2,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[7,5,8,1,6,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[6,2,5,3,8,1,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[7,6,1,3,5,2,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[6,2,4,5,3,8,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[6,8,5,4,7,1,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[1,6,8,4,2,5,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[7,5,8,1,3,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,4,2,8,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[1,7,8,5,4,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[5,1,6,7,4,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[1,5,4,2,8,6,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[1,7,5,4,6,2,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[4,8,1,3,7,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[4,5,3,1,2,8,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[6,4,2,3,1,8,7,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,6,1,8,2,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[8,4,2,3,7,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[5,7,6,4,2,1,3,8] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[6,5,7,4,1,3,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[4,6,1,8,3,5,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[7,1,6,8,2,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[4,7,1,8,3,2,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,7,8,6,4,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[3,2,8,6,4,5,1,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[1,6,8,7,4,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[5,7,4,2,1,8,6,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[8,6,5,7,2,4,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[7,4,8,3,6,2,1,5] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => 1101010
[6,4,8,2,5,7,1,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[6,2,4,5,8,3,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[6,8,2,4,7,3,5,1] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[8,4,6,2,7,1,3,5] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[6,8,4,2,7,1,3,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[7,5,1,6,2,4,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[4,5,2,3,8,7,1,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[2,5,4,7,6,1,3,8] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[5,2,3,7,6,1,4,8] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[5,6,2,3,8,4,7,1] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,6,2,3,1,7,8,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,7,2,3,4,1,6,8] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[6,2,7,3,5,1,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[6,5,2,3,8,4,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[8,6,2,3,1,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[1,6,3,4,2,7,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[8,5,2,7,3,4,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[1,7,2,4,5,6,8,3] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => 1100000
[1,8,3,2,5,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[7,2,8,1,4,6,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[2,7,8,1,5,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[5,7,2,1,4,6,8,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[4,2,3,8,1,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,2,1,5,3,7,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[5,1,3,2,6,7,8,4] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[5,1,3,4,2,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[6,1,3,4,2,7,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,9,8,10,7,6,5,4,3,2] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2,10] => 111111100
[6,2,7,3,4,5,1,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[3,1,2,9,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[2,1,10,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 010000000
[4,5,7,2,8,3,6,1] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[9,7,5,3,1,8,6,4,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 10101010
[9,5,1,6,2,7,3,8,4] => [[1,2,3,4],[5,6,7,8],[9]] => [9,5,6,7,8,1,2,3,4] => 10001000
[5,7,4,6,3,9,2,8,1] => [[1,6,8],[2,7,9],[3],[4],[5]] => [5,4,3,2,7,9,1,6,8] => 11100100
[10,8,6,4,2,9,7,5,3,1] => [[1,3],[2,5],[4,7],[6,9],[8],[10]] => [10,8,6,9,4,7,2,5,1,3] => 110101010
[10,7,4,1,8,5,2,9,6,3] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [10,7,8,9,4,5,6,1,2,3] => 100100100
[5,6,7,3,8,4,9,1,10,2] => [[1,2,7,8,9,10],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9,10] => 010100000
[6,5,8,4,7,3,10,2,9,1] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => [6,5,4,3,2,8,10,1,7,9] => 111100100
[8,3,7,5,1,4,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,3,2,6,4,5,1,7] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,5,6,2,7,1,3,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[8,4,7,2,6,5,1,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[8,5,7,3,2,6,1,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[8,1,2,3,6,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[4,5,3,7,8,1,6,2] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[3,4,2,8,1,6,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[8,3,4,1,5,7,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[4,3,7,5,1,6,2,8] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => 0101000
[5,3,7,4,2,8,6,1] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[7,2,5,8,6,1,4,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[5,3,1,4,6,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[4,6,2,1,3,7,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[2,5,4,1,3,6,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[4,2,5,6,7,8,9,1,3] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[7,4,5,6,2,1,8,3] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[4,2,5,6,7,8,9,10,1,3] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 101000000
[3,7,5,6,2,1,8,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[6,4,1,2,7,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,4,1,3,5,2,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[4,5,8,2,3,7,1,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[7,3,4,8,2,5,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,2,8,1,5,6,4,3] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[2,4,3,5,8,1,6,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[2,6,5,3,8,1,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[6,1,2,4,3,5,7,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[1,7,6,8,4,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[6,1,2,4,3,5,8,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[8,4,1,5,2,6,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[1,5,6,3,8,7,2,4] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => 0101000
[5,3,2,6,8,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[6,3,5,2,7,1,4,8] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[8,5,2,6,7,1,4,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[6,4,5,3,1,8,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,5,1,2,3,6,7,4] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[2,8,6,1,5,4,7,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[8,3,2,6,1,5,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[1,8,7,5,4,3,2,6] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => 1111100
[8,6,4,7,1,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[3,1,4,7,6,2,5,8] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[5,3,4,1,6,2,7,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[2,7,1,4,6,3,5,8] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[7,3,1,6,5,2,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[7,1,2,3,6,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => 1100000
[2,8,4,6,5,1,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[7,4,1,3,6,5,2,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[5,7,2,8,1,3,6,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[6,5,1,4,7,3,2,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[2,7,8,4,1,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[2,4,6,5,7,8,1,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,4,6,7,5,8,1,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,4,6,3,7,8,1,5] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[2,4,5,6,8,7,1,3] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[2,4,5,6,8,3,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[2,4,5,6,3,8,1,7] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[2,3,4,6,8,5,1,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[5,2,8,3,4,1,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[4,1,7,3,8,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 0100100
[1,5,2,7,6,8,4,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[4,8,2,7,6,5,1,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[7,4,2,8,6,5,1,3] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => 0101010
[8,6,5,2,7,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[6,5,8,2,7,1,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[7,5,8,2,1,6,4,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[3,2,1,6,5,8,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[2,6,4,8,5,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[6,3,1,4,5,8,2,7] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[3,4,8,5,2,1,7,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[4,8,7,1,3,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[5,8,7,4,6,1,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[3,4,1,8,7,6,2,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[1,3,5,6,8,7,2,4] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[4,6,1,3,2,8,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[2,6,5,8,3,1,4,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[6,7,8,2,4,5,3,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[3,2,8,4,5,7,1,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[6,1,8,2,4,5,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[8,3,6,4,2,7,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[1,3,8,4,7,6,2,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,3,7,5,4,1,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,6,3,7,1,4,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[3,1,2,8,7,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,5,4,1,2,3,7,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,3,2,1,6,4,7,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[4,1,7,8,2,5,6,3] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[3,4,5,7,8,1,6,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[2,4,5,8,1,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[1,3,6,4,2,7,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[4,7,5,8,1,2,6,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[4,7,5,8,1,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[3,4,7,5,2,8,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[4,3,2,5,7,8,1,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[2,4,7,5,8,3,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[3,7,8,4,2,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[8,5,4,7,6,3,1,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[3,2,4,5,8,1,6,7] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,6,8,4,2,7,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[7,4,1,6,2,8,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[1,6,7,4,3,8,2,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[7,3,1,6,5,2,8,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[8,5,4,1,6,2,7,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[4,7,2,8,5,1,6,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[7,8,6,2,1,5,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => 1101010
[2,1,3,8,7,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[8,1,7,3,6,5,2,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[1,6,5,7,4,8,3,9,2] => [[1,2,7,8,9],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9] => 11110000
[1,6,7,5,8,4,9,3,10,2] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9,10] => 111100000
[1,2,3,4,5,6,8,10,7,9] => [[1,2,3,4,5,6,7,9],[8,10]] => [8,10,1,2,3,4,5,6,7,9] => 010000000
[3,4,5,6,7,8,2,1,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[3,4,5,6,7,2,1,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[4,5,6,7,8,1,2,3,9] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[2,8,4,6,3,5,1,7] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,7,8,3,6,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[3,8,1,4,6,5,2,7] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => 1101000
[4,6,1,8,5,3,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[3,8,5,2,1,6,4,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[5,1,4,8,2,6,3,7] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[8,6,7,1,4,3,2,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[1,4,7,8,6,3,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[3,7,6,2,1,8,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[8,6,3,2,7,1,5,4] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => 1101010
[4,7,5,2,6,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,5,6,2,8,1,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[8,9,10,4,5,6,2,3,1,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,6,10,2,3,1,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,10,4,5,2,3,6,1,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,10,2,3,6,1,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,2,3,6,10,1,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,5,9,10,2,3,6,1,7] => [[1,3,6,7],[2,5,9,10],[4],[8]] => [8,4,2,5,9,10,1,3,6,7] => 110001000
[8,4,5,9,2,3,6,10,1,7] => [[1,3,6,7],[2,5,9,10],[4],[8]] => [8,4,2,5,9,10,1,3,6,7] => 110001000
[8,9,10,4,5,6,2,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,6,10,2,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,10,4,5,2,6,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,10,2,6,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,2,6,10,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,5,9,10,2,6,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,5,9,2,6,10,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,10,4,5,2,1,3,6,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,10,2,1,3,6,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,2,10,1,3,6,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,5,2,1,3,6,10,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,5,9,10,2,1,3,6,7] => [[1,3,6,7],[2,5,9,10],[4],[8]] => [8,4,2,5,9,10,1,3,6,7] => 110001000
[8,4,5,9,2,10,1,3,6,7] => [[1,3,6,7],[2,5,9,10],[4],[8]] => [8,4,2,5,9,10,1,3,6,7] => 110001000
[8,4,5,9,2,1,3,6,10,7] => [[1,3,6,7],[2,5,9,10],[4],[8]] => [8,4,2,5,9,10,1,3,6,7] => 110001000
[8,9,10,4,2,5,6,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,10,2,5,6,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,2,5,6,10,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,9,10,2,5,6,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,9,2,5,6,10,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,10,4,2,5,1,3,6,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,10,2,5,1,3,6,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,2,5,10,1,3,6,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,9,4,2,5,1,3,6,10,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,9,10,2,5,1,3,6,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,9,2,5,1,3,6,10,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 101001000
[8,4,2,5,9,10,1,3,6,7] => [[1,3,6,7],[2,5,9,10],[4],[8]] => [8,4,2,5,9,10,1,3,6,7] => 110001000
[8,4,2,5,9,1,3,6,10,7] => [[1,3,6,7],[2,5,9,10],[4],[8]] => [8,4,2,5,9,10,1,3,6,7] => 110001000
[6,1,8,2,4,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,6,8,2,5,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[8,4,2,7,6,5,1,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[4,6,3,8,5,2,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[1,7,8,6,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[3,4,6,7,2,1,5,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[3,2,7,4,8,5,6,1] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[4,5,2,8,3,7,1,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[4,5,8,3,1,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[7,3,1,8,4,5,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[3,2,8,7,4,5,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[6,2,4,3,7,5,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[3,8,2,1,5,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[1,3,2,8,7,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[7,5,2,8,3,1,6,4] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => 1010100
[6,2,5,4,1,7,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[8,5,1,6,3,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[2,8,5,1,3,7,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[6,4,5,1,3,8,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[6,1,3,5,4,8,2,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,3,8,7,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,5,4,1,8,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[5,1,4,8,3,7,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[8,4,1,2,7,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[4,8,3,2,7,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => 1101010
[1,8,7,3,4,6,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[8,5,7,3,1,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[3,1,2,8,7,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[1,4,3,8,5,7,2,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[6,7,1,5,2,8,4,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => 1100100
[1,5,3,7,6,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[2,7,3,4,8,6,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[1,8,2,4,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[8,5,6,2,4,7,1,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[4,8,1,6,2,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,4,8,5,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[1,5,8,7,2,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,5,4,2,8,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[1,2,8,7,3,5,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[8,7,1,3,2,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,7,4,2,8,1,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[4,1,6,8,7,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[2,6,4,8,7,3,1,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[2,1,8,7,3,5,4,6] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[6,1,8,5,7,4,3,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[5,8,1,2,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[6,3,1,8,2,4,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[4,6,3,7,8,1,5,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[6,3,1,8,4,5,2,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[6,5,8,1,4,3,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[8,1,4,2,7,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,7,2,8,3,9,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,2,8,3,9,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,2,8,9,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,2,8,9,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,2,8,9,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,8,2,3,9,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,8,2,3,9,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,8,2,9,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,8,2,9,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,8,2,9,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,8,9,2,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,8,9,2,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[1,7,8,9,2,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,2,8,3,9,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,2,8,3,9,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,2,8,9,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,2,8,9,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,2,8,9,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,8,2,3,9,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,8,2,3,9,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,8,2,9,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,8,2,9,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,8,9,2,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,8,9,2,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,8,9,2,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,1,8,9,10,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,2,3,9,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,2,3,9,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,2,9,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,2,9,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,2,9,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,9,2,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,9,2,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,9,2,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,1,9,10,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,9,1,2,3,4,10,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,9,1,2,3,10,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,9,1,2,10,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[7,8,9,1,10,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[6,8,3,1,2,5,4,7] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[5,8,6,4,7,1,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[2,5,1,8,7,3,4,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[7,2,4,3,8,6,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[6,8,4,3,5,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[1,4,7,3,6,8,2,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[3,7,1,4,6,8,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[1,2,6,7,4,5,8,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[6,5,2,8,7,1,4,3] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => 0101010
[2,6,1,3,8,5,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[6,4,1,8,3,2,5,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[5,8,1,4,2,7,3,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[2,3,1,6,8,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[6,4,8,2,1,7,3,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[2,3,1,8,7,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,8,6,4,1,5,3,7] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[6,7,4,5,1,3,8,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[1,6,5,3,8,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[8,5,1,2,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[4,1,8,7,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[3,2,4,6,1,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[1,4,7,5,8,2,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[1,6,8,4,7,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[4,5,7,2,6,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[2,1,5,7,4,6,8,3] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[1,5,7,4,2,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[8,1,7,2,4,6,3,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,2,4,7,8,6,3,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,3,6,2,5,8,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[4,8,1,2,6,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[5,8,1,2,6,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[1,6,2,3,7,5,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,8,4,2,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[1,7,5,2,3,8,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[8,1,4,7,3,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[2,6,1,8,3,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[8,4,2,1,3,7,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[5,3,1,8,2,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[1,2,6,3,7,5,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[5,1,8,3,2,4,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[3,1,5,4,6,7,8,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[2,8,5,7,3,1,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[7,4,2,1,3,8,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[7,2,1,3,8,5,4,6] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[1,7,5,3,2,4,8,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,4,2,7,6,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[2,8,7,3,4,1,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[5,7,6,2,3,8,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[4,5,7,6,2,8,1,3] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,1,8,7,5,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[4,5,6,8,7,2,1,3] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[2,8,3,1,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => 1001000
[4,8,3,1,6,2,7,5] => [[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => 0100100
[2,8,3,1,6,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[1,6,7,8,9,5,4,3,2] => [[1,2,7,8,9],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9] => 11110000
[1,5,6,7,8,9,4,3,2] => [[1,2,6,7,8,9],[3],[4],[5]] => [5,4,3,1,2,6,7,8,9] => 11100000
[1,4,5,6,7,8,9,3,2] => [[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => 11000000
[1,7,8,9,10,6,5,4,3,2] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8,9,10] => 111110000
[1,6,5,7,8,9,4,3,2] => [[1,2,7,8,9],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9] => 11110000
[1,6,7,8,9,10,5,4,3,2] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9,10] => 111100000
[1,5,4,6,7,8,9,3,2] => [[1,2,6,7,8,9],[3],[4],[5]] => [5,4,3,1,2,6,7,8,9] => 11100000
[1,4,5,6,7,8,9,10,3,2] => [[1,2,5,6,7,8,9,10],[3],[4]] => [4,3,1,2,5,6,7,8,9,10] => 110000000
[5,4,3,1,2,7,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[7,1,5,2,3,6,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[4,6,1,2,8,3,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[2,6,7,4,3,1,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[2,6,3,1,7,4,5,8] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[6,5,3,7,2,4,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => 1110100
[2,7,5,8,1,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[5,1,6,7,3,2,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[5,6,1,4,7,2,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[1,2,5,7,8,6,3,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,2,7,8,4,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[8,6,5,2,1,7,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[8,3,2,4,7,1,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[7,3,2,8,6,1,5,4] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => 0101010
[7,5,8,2,6,1,4,3] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => 0101010
[7,4,1,2,6,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[5,2,7,4,6,1,8,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[7,4,1,2,3,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[5,4,8,6,3,2,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,3,5,7,1,2,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[1,8,5,3,2,4,6,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,6,7,3,4,2,5,8] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => 1010000
[1,6,8,3,4,2,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,8,7,5,3,4,2,6] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => 1111000
[1,7,8,5,3,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[1,7,8,6,4,3,2,5] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[9,8,7,6,5,2,1,3,4] => [[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => 11111100
[7,2,8,9,10,1,3,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[9,7,8,6,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => 11111110
[3,8,2,1,6,7,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[2,8,3,1,7,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[7,5,8,9,10,4,6,3,2,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => 111101000
[2,7,4,1,5,8,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[5,7,8,3,4,2,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[2,6,4,7,8,5,3,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[7,8,4,5,6,1,3,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[2,5,1,8,4,6,7,3] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[6,5,8,3,4,2,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[8,2,7,6,3,4,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[6,8,7,3,2,1,4,5] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[3,4,8,2,7,1,5,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[7,2,6,1,4,8,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[7,8,1,2,4,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[7,2,8,3,4,5,1,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[6,1,8,3,4,2,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[7,5,1,2,4,3,8,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,1,5,3,8,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[3,2,4,8,6,1,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[3,1,2,8,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[2,1,3,8,4,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[3,1,2,8,4,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,2,8,7,5,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[4,6,7,2,3,8,1,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[3,2,6,5,7,8,1,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[6,1,5,8,4,7,3,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[1,4,6,8,5,7,2,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[2,4,7,1,8,3,6,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[6,1,5,4,2,3,8,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[6,4,5,1,2,8,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[5,8,4,3,6,7,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[3,2,6,5,1,8,4,7] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[7,4,5,8,1,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[5,1,8,4,6,7,3,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[8,3,7,1,6,2,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,1,4,6,5,7,2,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[8,1,7,5,6,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[2,6,3,7,8,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[6,3,8,7,2,1,5,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[7,2,5,6,3,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[7,2,8,6,3,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,2,4,5,8,6,3,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,3,8,4,7,2,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[7,2,3,6,8,5,4,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[7,2,8,5,4,1,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[7,5,4,2,8,1,6,3] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[7,6,3,2,8,4,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[7,2,3,6,8,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[7,2,5,4,8,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[7,4,5,2,8,3,6,1] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[6,4,5,3,8,1,2,7] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[7,2,4,6,3,8,5,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[2,8,3,7,6,1,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[5,4,2,6,8,7,3,1] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[2,4,8,7,6,1,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[3,2,8,7,4,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,2,6,5,1,4,3,7] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[3,8,4,7,2,1,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[5,8,1,7,6,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[3,4,6,2,5,7,1,8] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[1,7,5,2,6,8,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[7,4,8,3,6,5,1,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[1,5,4,3,8,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[12,11,10,9,8,7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [12,11,10,9,8,7,6,5,4,2,1,3] => 11111111110
[12,11,10,9,8,7,6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]] => [12,11,10,9,8,7,6,4,3,2,1,5] => 11111111110
[12,11,10,9,8,6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]] => [12,11,10,9,8,6,5,4,3,2,1,7] => 11111111110
[12,11,10,8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]] => [12,11,10,8,7,6,5,4,3,2,1,9] => 11111111110
[3,5,6,2,4,7,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,6,7,2,4,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[3,5,7,6,8,2,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,5,7,2,6,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,5,2,7,6,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,5,7,4,2,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,5,4,7,2,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,5,4,7,8,2,6,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,5,4,7,2,8,6,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,2,5,7,4,8,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[3,5,7,4,2,8,6,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[3,5,7,8,4,2,6,1] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[2,3,5,7,8,4,6,1] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[3,5,2,7,8,6,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,5,7,8,2,6,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,5,7,8,6,2,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[3,2,5,6,7,8,9,1,4] => [[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => 10100000
[4,2,5,6,7,3,8,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,2,5,6,7,8,9,3,1] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[8,6,1,4,3,5,2,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[6,1,8,4,3,5,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[8,1,4,2,5,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => 1010000
[2,8,4,1,5,3,6,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[8,3,1,2,5,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[3,1,8,2,5,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[5,2,4,8,1,7,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[7,3,2,4,6,8,1,5] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[1,4,8,6,7,2,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[4,6,8,1,2,5,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[3,5,6,8,2,1,4,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => 1001000
[8,2,5,4,1,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[2,4,5,8,6,3,1,7] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => 1110000
[5,4,8,2,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => 1010100
[4,7,5,8,2,3,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[1,7,3,6,5,8,2,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[8,3,4,2,6,7,1,5] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[7,5,3,8,6,2,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 1101010
[7,3,1,8,2,6,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[4,6,7,5,2,8,3,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,1,2,8,6,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,1,7,6,8,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[5,7,1,6,2,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[6,2,5,8,3,4,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[5,6,8,7,1,3,2,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[2,1,3,6,5,8,4,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[5,1,2,8,6,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[4,3,7,1,2,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[4,5,8,2,3,7,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[4,8,1,3,2,5,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[1,7,5,3,8,6,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => 1010100
[2,5,3,8,1,4,7,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[4,2,5,8,1,3,7,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[8,1,2,4,3,5,7,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[2,4,3,8,1,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[2,7,3,8,5,1,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[8,4,2,3,1,5,7,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[2,7,8,1,4,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[6,5,8,1,3,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[8,6,1,2,3,5,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => 1110000
[7,8,1,5,2,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[2,8,6,3,1,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[5,7,2,8,4,1,6,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[2,5,6,3,8,1,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[1,3,4,5,6,7,2,8,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => 10000000
[7,6,8,1,4,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[2,8,1,7,4,5,3,6] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => 1101000
[7,3,6,2,5,4,8,1] => [[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => 1110100
[1,6,2,3,5,8,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[2,6,8,4,5,1,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[5,3,2,1,7,8,4,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[2,5,3,6,8,4,1,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[4,6,2,5,1,7,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[1,8,3,6,4,2,7,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[2,1,7,4,8,5,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[8,1,7,3,2,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[7,8,5,2,6,4,3,1] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[8,1,2,5,7,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[6,8,7,4,1,5,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 1010100
[6,1,2,4,7,8,3,5] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[3,5,2,1,7,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[4,8,1,2,6,5,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[7,4,1,3,6,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[5,2,7,1,4,6,3,8] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[6,3,8,5,7,1,4,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[2,4,3,8,5,7,1,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[3,7,1,6,5,8,2,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[4,6,5,1,3,8,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[5,4,6,2,1,8,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,3,8,1,4,2,6,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[1,4,7,5,8,6,2,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[8,5,7,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 1101010
[2,4,5,1,8,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[7,3,5,6,4,1,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[2,3,4,5,1,9,6,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[2,3,4,1,8,9,5,6,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[2,3,1,7,8,9,4,5,6] => [[1,3,4,5,6],[2,7,8,9]] => [2,7,8,9,1,3,4,5,6] => 00010000
[2,5,6,3,4,1,8,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[4,6,7,2,3,8,5,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[4,5,3,7,8,1,2,6] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[1,7,4,5,8,3,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[5,2,6,7,8,3,1,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[5,6,2,7,8,3,1,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[3,7,8,5,1,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => 1100100
[2,5,6,7,1,8,4,3] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[6,4,7,8,1,2,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[7,5,8,1,2,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[1,2,8,7,4,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[5,1,4,8,7,3,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[4,3,2,7,6,1,5,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[7,2,6,5,3,1,4,8] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[1,3,8,2,7,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,2,7,1,6,4,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[4,3,2,8,1,7,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[1,6,5,3,2,4,8,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,7,3,5,2,4,8,6] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => 1001000
[4,3,7,2,5,1,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[5,1,4,3,2,6,8,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[8,3,7,5,4,2,6,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[1,6,8,7,5,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[1,3,6,2,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[1,2,7,3,8,4,9,5,10,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 000100000
[4,6,7,3,1,5,8,2] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[5,4,1,8,7,3,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[6,2,4,7,5,3,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,2,5,1,8,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[3,2,6,1,5,8,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[4,2,3,6,7,5,1,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[1,6,3,8,4,7,2,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[8,1,5,2,4,7,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,5,8,1,4,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[4,1,2,3,6,5,8,7,10,9] => [[1,2,3,5,7,9],[4,6,8,10]] => [4,6,8,10,1,2,3,5,7,9] => 000100000
[1,3,4,8,5,6,2,7] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 1100000
[3,2,7,1,8,6,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[6,2,4,1,5,7,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[5,8,4,1,3,6,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[6,7,2,3,8,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[5,2,8,1,7,4,6,3] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => 1010100
[2,5,6,4,8,1,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[1,3,6,5,2,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[5,8,7,3,1,2,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[2,7,8,1,4,5,3,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[4,1,2,8,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[7,3,4,1,2,6,8,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[3,8,2,7,4,5,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[8,6,2,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[8,2,6,1,3,5,4,7] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,3,1,7,4,5,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[8,2,4,5,1,7,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[6,8,2,4,5,1,7,3] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[8,3,4,7,2,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,1,3,7,6,4,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[8,3,7,1,4,5,6,2] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => 1101000
[8,7,3,6,1,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[8,3,7,6,2,4,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => 1110100
[8,7,2,3,6,1,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[8,2,7,1,3,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[5,1,8,4,2,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[8,2,4,7,3,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,2,7,6,3,1,4,5] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => 1111000
[6,8,1,4,7,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[8,5,7,2,6,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[5,8,2,7,3,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[8,1,2,6,7,5,4,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[8,4,1,7,5,6,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,2,4,7,6,5,1,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,2,7,6,4,5,1,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,4,7,2,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,2,4,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,1,7,6,4,5,2,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,1,2,7,6,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,1,4,7,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[6,7,5,4,3,2,1,9,8] => [[1,7,8],[2,9],[3],[4],[5],[6]] => [6,5,4,3,2,9,1,7,8] => 11110100
[2,8,1,5,3,7,6,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[1,8,2,4,7,5,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => 1110000
[2,3,8,4,7,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[1,8,2,3,5,6,4,7] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => 1100000
[1,4,7,6,2,3,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,7,6,2,3,8,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[1,8,2,3,7,6,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,7,3,8,6,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[5,8,2,3,7,4,1,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[4,2,8,3,7,6,1,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,6,1,8,2,7,5,3] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => 1100100
[3,4,8,5,6,1,2,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[1,7,6,2,5,4,8,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => 1111000
[5,6,1,7,4,3,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[3,7,2,1,5,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,1,5,6,4,2,7,8] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[8,1,6,4,3,5,2,7] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[2,1,6,5,3,8,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[3,7,5,6,4,2,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[6,1,4,3,7,5,8,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[4,5,8,6,2,3,7,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,5,7,2,8,6,3,1] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,7,4,5,1,6,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[4,6,8,1,2,5,7,3] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[4,6,8,5,1,3,7,2] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => 1100100
[3,7,4,5,2,8,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[4,5,1,6,8,3,7,2] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[8,3,5,4,6,1,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[1,7,4,5,2,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,4,2,6,5,3,8,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[1,8,7,4,2,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[9,1,5,2,8,6,3,7,4] => [[1,2,3,4],[5,6,7],[8],[9]] => [9,8,5,6,7,1,2,3,4] => 11001000
[4,3,1,8,5,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[7,3,2,4,8,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[3,7,2,4,5,8,1,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[3,2,7,4,6,1,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[8,3,2,4,6,1,7,5] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => 1101000
[8,3,2,4,5,7,1,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[5,4,8,7,6,2,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 1101010
[5,2,3,8,7,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => 1010100
[7,4,3,8,1,6,5,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[6,5,1,4,3,8,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[2,6,4,5,8,3,1,7] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => 1101000
[3,7,4,8,6,2,5,1] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[1,5,8,7,4,2,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[1,7,2,4,5,8,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[1,4,6,8,7,2,5,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[1,6,2,7,5,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,3,7,2,6,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,7,3,2,8,5,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[1,6,5,2,4,8,3,7] => [[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => 1101000
[1,7,3,8,4,2,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,6,2,4,7,5,8,3] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[1,6,2,7,4,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,5,8,2,3,6,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[6,8,9,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8,9]] => [6,8,9,1,2,3,4,5,7] => 00100000
[1,2,7,3,8,5,6,4] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,5,7,4,3,8,6,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[2,7,3,1,4,5,8,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,3,4,5,1,8,6,9,7] => [[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => 00100000
[6,5,8,3,2,7,1,4] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => 1101010
[8,4,3,1,7,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => 1101010
[1,2,6,7,5,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[3,4,5,6,7,9,1,8,2] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => 10100000
[3,4,5,6,8,2,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => 1010000
[3,4,5,6,7,8,10,1,9,2] => [[1,2,5,6,7,8,9],[3,4],[10]] => [10,3,4,1,2,5,6,7,8,9] => 101000000
[3,4,5,6,7,9,2,8,1] => [[1,4,5,6,7,8],[2,9],[3]] => [3,2,9,1,4,5,6,7,8] => 10100000
[3,4,5,6,7,1,9,8,2] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => 10100000
[1,5,6,7,3,4,2,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[4,6,8,5,2,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[1,6,7,8,2,4,5,3] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[5,7,8,2,3,1,6,4] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => 0100100
[1,3,5,8,7,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[6,4,1,8,5,7,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[4,1,3,8,7,5,2,6] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,5,1,6,7,2,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[3,6,7,2,1,5,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => 0101000
[2,5,6,1,3,8,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[4,7,3,5,2,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[2,3,5,4,7,1,8,6] => [[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => 1010000
[6,8,4,1,5,7,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,1,6,2,3,7,5,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[6,5,3,4,8,2,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[3,4,5,1,2,6,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[5,2,7,6,8,3,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[8,4,5,2,7,3,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[6,3,7,4,5,2,8,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[7,3,4,2,8,5,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[4,3,6,5,8,2,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[8,2,7,4,5,3,6,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[7,2,8,4,5,3,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[6,3,8,2,7,4,5,1] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,2,8,4,7,5,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[8,3,6,2,7,4,5,1] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[5,8,1,7,2,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[8,3,5,2,1,6,7,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[6,1,4,2,7,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[6,5,1,3,7,8,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[5,8,7,3,2,4,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[1,4,3,7,6,2,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[1,6,2,5,7,3,8,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,4,3,8,2,5,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => 0101000
[1,5,7,3,6,4,2,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[1,6,7,2,4,8,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[3,7,2,8,4,1,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 1001000
[5,3,4,1,7,8,6,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[1,2,6,8,4,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[7,2,6,3,1,8,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[5,8,4,1,3,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[3,4,2,1,6,8,5,7] => [[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => 1001000
[8,1,3,5,6,4,7,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[3,4,7,1,5,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[4,8,2,6,5,3,7,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[5,8,6,4,7,3,2,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => 1111100
[2,8,6,3,5,1,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,3,2,6,4,1,7,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[8,3,5,1,4,6,7,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,5,1,3,4,6,7,2] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[8,1,7,4,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,3,2,5,1,4,7,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[8,4,5,1,2,6,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[8,1,5,3,2,6,7,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[8,1,5,2,4,6,7,3] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[5,2,6,4,1,3,8,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[8,6,4,7,1,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[2,1,8,5,4,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[6,8,5,4,7,2,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[5,2,4,7,8,1,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[10,1,8,9,6,7,4,5,2,3] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 101010100
[4,8,5,6,1,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[1,7,8,5,4,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[4,6,8,1,5,2,7,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[2,3,7,5,8,6,1,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[3,8,5,1,2,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => 1001000
[1,3,6,4,8,2,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[1,2,3,4,6,5,7,8,9,10] => [[1,2,3,4,5,7,8,9,10],[6]] => [6,1,2,3,4,5,7,8,9,10] => 100000000
[1,2,3,4,5,6,8,7,9,10] => [[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => 100000000
[1,7,6,2,8,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[5,6,2,8,1,7,3,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[6,8,4,5,1,3,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[5,2,3,8,1,4,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[1,6,8,3,2,4,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[9,6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => 11111100
[10,7,6,5,4,3,2,1,8,9] => [[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [10,7,6,5,4,3,2,1,8,9] => 111111100
[7,3,5,4,8,2,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[1,2,7,4,8,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[2,5,8,6,4,3,7,1] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[6,4,2,5,7,1,8,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[9,1,2,3,4,5,8,7,6] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 11100000
[9,1,2,3,4,8,6,7,5] => [[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => 11100000
[8,1,4,7,3,5,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[8,3,7,2,4,5,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[10,1,2,3,4,5,6,9,8,7] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 111000000
[8,1,4,5,7,3,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[5,6,3,4,2,8,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[2,5,7,4,6,8,1,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[2,5,6,4,1,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[3,6,5,8,1,7,4,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[4,5,2,8,6,7,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,2,3,6,8,5,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[6,4,1,3,7,8,2,5] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,3,1,2,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[8,2,6,4,1,3,7,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[1,5,8,2,4,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[4,3,7,8,2,6,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[3,8,5,1,2,6,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,4,7,8,3,6,5,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[6,8,1,3,2,5,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[5,6,3,2,8,7,1,4] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,1,6,7,8,3,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[1,5,6,3,7,2,4,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[5,1,6,7,3,4,2,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[8,6,1,7,3,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,4,2,3,5,7,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[4,8,5,2,3,1,6,7] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[5,4,8,3,1,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[6,2,7,3,8,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[1,7,8,3,6,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[3,5,2,6,8,7,4,1] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[6,4,2,3,7,5,8,1] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[6,3,7,5,1,2,8,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[7,2,5,4,8,6,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[3,5,8,1,2,7,6,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[1,4,3,6,8,5,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[7,6,2,8,5,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => 1110100
[6,8,3,5,4,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[8,2,7,6,4,1,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[8,3,7,5,1,6,2,4] => [[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => 1100100
[4,6,5,7,2,3,8,1] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[3,6,7,2,5,8,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[5,3,6,7,4,8,1,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[4,2,7,8,5,6,1,3] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[3,5,7,8,4,2,1,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,6,7,3,2,8,1,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[5,6,3,2,8,4,7,1] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[5,6,2,8,3,4,7,1] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[5,2,6,4,8,7,3,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[1,2,4,6,5,8,3,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[5,8,6,1,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,1,4,3,8,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[4,2,8,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[4,6,7,8,2,1,5,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[3,8,1,4,6,2,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[2,4,5,3,8,7,1,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[4,7,5,6,2,8,1,3] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[7,8,6,2,3,5,1,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[2,8,4,6,7,3,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[2,5,8,4,6,1,3,7] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[6,8,4,7,3,5,2,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[3,6,4,2,8,1,7,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[3,8,6,2,1,7,4,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[3,1,8,2,4,6,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[8,1,7,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 1111100
[8,5,4,3,7,6,1,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[3,5,8,6,1,7,4,2] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[8,1,4,7,5,2,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[5,4,8,1,3,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[7,4,5,3,1,8,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[5,6,8,7,2,4,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[5,7,8,6,4,2,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => 1110100
[3,8,2,6,7,5,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[6,7,4,1,8,2,5,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[5,7,6,8,3,2,4,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[7,6,4,2,8,1,5,3] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[2,7,4,8,1,6,3,5] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => 0100100
[5,3,1,6,7,8,2,4] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[3,4,7,8,6,1,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[2,1,4,7,8,6,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,4,5,8,1,6,3,7] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => 1010000
[1,8,7,6,2,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[6,4,8,5,7,3,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[2,7,5,1,8,6,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[1,7,5,6,4,8,2,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[2,4,8,5,7,3,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[5,7,8,9,1,2,3,4,6] => [[1,2,3,4,6],[5,7,8,9]] => [5,7,8,9,1,2,3,4,6] => 00010000
[2,7,1,5,3,8,6,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[3,5,7,2,8,4,1,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => 1001000
[2,4,3,8,5,1,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[7,3,2,1,4,8,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[2,8,3,4,1,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,7,2,6,1,5,3,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[2,7,3,4,1,5,8,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[2,5,8,1,6,7,3,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[6,2,8,3,4,5,1,7] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => 1010000
[4,5,7,2,8,3,1,6] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[3,5,1,7,6,2,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,8,5,1,2,4,6,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[8,5,1,2,4,3,6,7] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => 1110000
[5,8,4,1,2,3,6,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[2,8,5,7,1,4,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[4,8,7,5,1,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[6,1,2,7,8,4,3,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[7,8,1,2,5,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,8,4,7,5,2,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,4,7,2,1,6,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,5,8,2,1,6,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[7,4,2,5,3,6,1,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[3,1,6,7,5,2,4,8] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[8,4,2,5,3,6,7,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,1,7,5,2,6,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[7,1,5,3,6,8,2,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[4,5,2,6,1,8,3,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[5,1,8,6,7,3,4,2] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[1,3,8,4,2,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[7,2,8,3,1,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[8,1,3,2,7,5,4,6] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[8,9,5,6,4,10,3,7,2,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => 111100100
[7,8,9,5,10,4,6,3,2,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => 111101000
[7,6,1,8,2,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[5,4,2,8,1,6,3,7] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[8,7,2,6,4,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 1111100
[7,2,8,4,3,6,1,5] => [[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => 1010100
[1,7,5,4,8,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[5,7,3,2,8,6,4,1] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[4,5,1,6,8,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[1,6,3,7,2,4,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[8,9,7,6,5,4,3,1,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[8,6,7,5,4,3,2,1,9] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => 11111100
[8,7,9,6,5,4,3,1,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[5,2,1,4,8,6,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[4,5,2,1,3,7,6,8] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => 1001000
[8,2,7,4,1,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[3,2,8,4,1,6,5,7] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => 0101000
[7,1,8,4,2,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[2,8,3,1,6,7,4,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,5,6,8,2,1,7,3] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[4,5,6,8,1,3,7,2] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,5,8,3,2,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[4,5,1,3,2,6,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => 1010000
[4,7,3,2,1,6,5,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,7,8,3,5,1,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[4,8,3,2,1,6,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[5,2,8,1,4,6,7,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[5,6,3,7,8,1,4,2] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 0101000
[5,7,1,4,3,6,2,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[6,2,3,7,1,5,4,8] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[6,2,8,1,5,4,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[6,1,3,4,5,2,7,8] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => 1100000
[7,1,3,4,5,6,2,8] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => 1100000
[6,5,2,7,8,4,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => 1110100
[7,5,3,6,4,2,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[1,3,6,7,5,2,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,5,2,6,8,7,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[3,2,1,5,6,7,8,9,4] => [[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => 10100000
[4,3,2,1,6,7,8,9,5] => [[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => 11010000
[5,4,3,2,1,7,8,9,6] => [[1,6,8,9],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9] => 11101000
[6,5,4,3,2,1,8,9,7] => [[1,7,9],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9] => 11110100
[6,9,4,7,2,5,1,3,8] => [[1,3,8],[2,5],[4,7],[6,9]] => [6,9,4,7,2,5,1,3,8] => 01010100
[6,4,3,9,2,7,1,5,8] => [[1,5,8],[2,7],[3,9],[4],[6]] => [6,4,3,9,2,7,1,5,8] => 11010100
[6,5,4,3,2,9,1,7,8] => [[1,7,8],[2,9],[3],[4],[5],[6]] => [6,5,4,3,2,9,1,7,8] => 11110100
[3,2,1,5,6,7,8,9,10,4] => [[1,4,6,7,8,9,10],[2,5],[3]] => [3,2,5,1,4,6,7,8,9,10] => 101000000
[6,7,8,1,2,3,4,9,10,5] => [[1,2,3,4,5,10],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5,10] => 000100000
[4,3,2,1,6,7,8,9,10,5] => [[1,5,7,8,9,10],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9,10] => 110100000
[2,7,8,9,1,3,4,5,10,6] => [[1,3,4,5,6],[2,7,8,9,10]] => [2,7,8,9,10,1,3,4,5,6] => 000010000
[5,4,3,2,1,7,8,9,10,6] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9,10] => 111010000
[6,5,4,3,2,1,8,9,10,7] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9,10] => 111101000
[7,6,5,4,3,2,1,9,10,8] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8,10] => 111110100
[10,7,8,5,6,3,4,1,2,9] => [[1,2,9],[3,4],[5,6],[7,8],[10]] => [10,7,8,5,6,3,4,1,2,9] => 101010100
[7,5,4,3,10,2,8,1,6,9] => [[1,6,9],[2,8],[3,10],[4],[5],[7]] => [7,5,4,3,10,2,8,1,6,9] => 111010100
[7,6,5,4,3,2,10,1,8,9] => [[1,8,9],[2,10],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,10,1,8,9] => 111110100
[4,2,6,3,1,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[4,6,3,2,5,8,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[5,8,4,3,2,6,1,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 1110100
[6,1,5,7,3,8,2,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[3,5,1,7,8,6,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[5,2,4,1,7,6,8,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[1,3,2,5,4,7,6,9,10,8] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[5,9,1,8,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 11101000
[9,1,8,2,7,3,6,4,5] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 11110000
[5,4,3,8,1,7,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,4,9,1,8,2,7,3,6] => [[1,2,3,6],[4,7],[5,8],[9]] => [9,5,8,4,7,1,2,3,6] => 10101000
[5,10,1,9,2,8,3,7,4,6] => [[1,2,3,4,6],[5,7],[8],[9],[10]] => [10,9,8,5,7,1,2,3,4,6] => 111010000
[5,4,7,3,6,2,9,1,8] => [[1,6,8],[2,7,9],[3],[4],[5]] => [5,4,3,2,7,9,1,6,8] => 11100100
[7,3,1,5,6,8,4,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[2,9,1,3,4,5,6,7,10,8] => [[1,3,4,5,6,7,8],[2,9,10]] => [2,9,10,1,3,4,5,6,7,8] => 001000000
[5,7,8,1,6,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,6,4,2,7,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[5,4,3,2,1,8,9,7,6] => [[1,6,9],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6,9] => 11010100
[4,3,2,1,8,9,7,6,5] => [[1,5,9],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5,9] => 01010100
[4,8,2,1,5,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[5,2,7,1,6,3,4,8] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[4,8,2,5,1,6,3,7] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => 0101000
[5,8,1,2,4,6,3,7] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => 1010000
[5,1,7,3,6,4,2,8] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[3,2,7,5,6,1,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[3,2,7,1,6,4,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[7,3,4,8,5,6,2,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[7,3,6,8,4,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[5,6,2,8,3,1,7,4] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => 0100100
[1,4,7,5,6,2,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[1,7,4,8,3,5,6,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[5,3,1,4,8,6,2,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[7,4,5,1,8,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 0100100
[7,4,8,3,1,6,5,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[6,4,8,7,3,5,1,2] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => 0101010
[6,1,4,2,3,5,7,8] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => 1100000
[6,1,5,7,2,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[1,6,2,7,3,8,4,9,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[1,8,5,2,9,6,3,10,7,4] => [[1,2,3,4],[5,6,7],[8,9,10]] => [8,9,10,5,6,7,1,2,3,4] => 001001000
[7,2,4,1,8,5,3,6] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[7,3,2,1,4,6,8,5] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[7,5,3,2,1,6,8,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[6,8,1,3,4,2,5,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,4,7,2,5,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[4,5,3,1,2,6,8,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,5,1,3,8,2,6,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,1,5,3,2,7,6,8] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[7,3,5,1,4,2,6,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[2,4,3,6,7,1,5,8] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => 1010000
[7,3,5,2,1,6,4,8] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[4,6,5,2,1,3,7,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[2,5,6,1,4,3,7,8] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => 1010000
[6,1,5,3,7,2,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[10,9,3,8,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,2,1,4] => 111111110
[10,9,8,6,5,4,7,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => 111111110
[6,1,8,9,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8,9]] => [6,8,9,1,2,3,4,5,7] => 00100000
[8,1,9,10,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 001000000
[6,8,7,5,4,2,1,3] => [[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => 1111010
[5,6,1,8,4,3,7,2] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[1,8,2,6,7,5,4,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[3,8,6,1,2,4,5,7] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[1,8,5,3,2,7,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[1,8,4,7,2,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[3,2,8,1,7,5,4,6] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,4,5,6,2,1,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[3,4,5,2,1,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 11000000
[7,1,5,6,2,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[6,5,1,7,2,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[1,6,8,2,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,6,8,7,3,4,2,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[3,4,5,6,1,7,2,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[3,4,5,1,6,2,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 01000000
[6,3,7,1,8,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,5,4,7,8,3,6,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,1,4,7,8,3,6,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,6,4,1,7,3,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,3,7,8,2,5,1,6] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => 1100100
[3,7,8,5,4,2,1,6] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => 1110100
[1,7,4,5,6,8,3,2] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[5,4,3,6,8,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[3,7,4,5,8,1,6,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[1,4,6,5,8,2,7,3] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[4,7,3,5,1,2,8,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[1,6,4,2,3,5,8,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[4,8,3,5,2,1,6,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[10,9,7,6,5,4,3,8,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => 111111110
[1,6,8,4,7,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[4,7,1,6,8,2,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[7,1,8,2,4,5,3,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[5,2,3,8,7,1,4,6] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => 0101000
[8,7,1,3,2,6,4,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[7,5,1,2,3,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[4,3,5,2,6,1,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[4,5,3,6,2,7,1,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[3,2,4,1,5,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[3,4,2,5,1,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[4,3,5,2,6,1,7,8,9,10] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => 111000000
[4,5,3,6,2,7,1,8,9,10] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => 111000000
[5,4,6,3,7,2,8,1,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[4,2,3,6,8,5,7,1] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,7,3,2,6,5,1,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[4,3,7,8,2,1,6,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => 1010100
[7,3,8,2,5,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,3,8,4,5,1,2,6] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[4,8,7,5,1,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[4,5,3,6,8,1,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[7,8,6,3,1,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[5,2,8,4,7,1,3,6] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => 0100100
[7,3,1,2,8,6,5,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[6,8,2,1,4,5,3,7] => [[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => 0101000
[2,1,4,3,10,9,6,5,8,7] => [[1,3,5,7],[2,4,6,8],[9],[10]] => [10,9,2,4,6,8,1,3,5,7] => 110001000
[4,1,2,3,10,9,6,5,8,7] => [[1,2,3,5,7],[4,6,8],[9],[10]] => [10,9,4,6,8,1,2,3,5,7] => 110010000
[6,1,2,3,4,5,8,7,10,9] => [[1,2,3,4,5,7,9],[6,8,10]] => [6,8,10,1,2,3,4,5,7,9] => 001000000
[1,5,4,8,7,3,2,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[7,5,8,1,2,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[4,6,3,5,7,1,2,8] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => 0101000
[1,4,7,2,6,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[1,5,7,2,6,4,8,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[7,2,4,6,1,8,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[1,2,7,8,3,5,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[1,7,6,2,8,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[1,2,7,8,3,4,6,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[2,4,8,6,5,7,1,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[5,1,3,4,8,2,7,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[8,7,3,6,1,4,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => 1110100
[6,5,1,8,3,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[7,5,6,1,3,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[5,7,2,4,6,1,8,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[2,1,5,6,3,8,7,4] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[2,4,5,3,8,1,7,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[7,2,5,4,3,8,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[8,5,3,1,2,6,7,4] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => 1101000
[1,8,7,3,5,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[2,4,8,3,6,5,7,1] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,6,7,8,5,2,1,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[5,6,2,8,4,1,7,3] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[5,7,2,4,8,6,1,3] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => 0100100
[6,7,3,2,8,5,1,4] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => 1010100
[7,2,3,1,8,6,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[7,2,8,3,5,6,1,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[1,7,3,4,8,5,2,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,7,3,8,5,4,2,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,2,8,4,5,3,1,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[2,8,6,4,3,1,7,5] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[1,7,3,4,8,2,5,6] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => 1010000
[1,3,8,4,2,5,7,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[1,4,7,6,2,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[1,8,4,6,7,2,3,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[1,4,2,3,7,8,6,5] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,2,9,7,5,3,10,8,6,4] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,1,2,3,4] => 010101000
[7,4,5,8,1,3,6,2] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[1,4,3,6,2,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[1,3,6,5,8,2,4,7] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => 1001000
[1,4,6,3,2,8,5,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[6,8,4,1,5,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[8,5,6,4,1,7,3,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[5,8,2,6,3,1,7,4] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[8,1,4,6,2,5,7,3] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => 1101000
[4,5,8,1,6,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,2,6,8,1,4,3,7] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => 0100100
[6,7,3,8,2,1,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 1100100
[2,1,4,8,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[2,6,3,1,5,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[1,5,8,3,4,7,2,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,3,8,1,4,6,2,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[4,5,8,1,3,6,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[4,1,3,8,5,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => 1101000
[4,1,3,7,2,8,6,5] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[7,2,6,3,1,8,5,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[1,6,3,2,8,7,4,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[6,8,3,1,5,7,2,4] => [[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => 0100100
[8,7,3,1,2,5,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[3,5,7,1,2,4,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[1,3,5,7,2,9,4,6,8,10] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[1,3,5,7,2,9,4,10,6,8] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => 000100000
[5,4,3,6,1,7,8,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[4,8,3,2,1,7,5,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => 1010100
[1,9,8,7,6,5,2,3,4] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 11111000
[4,8,7,3,6,1,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[5,6,4,8,7,2,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[4,8,3,7,6,1,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[2,8,4,7,1,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[6,7,8,9,2,3,4,1,5] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 10001000
[5,6,7,8,9,2,3,1,4] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 10010000
[7,8,9,10,2,3,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[6,7,8,9,2,3,1,4,5] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 10001000
[5,6,7,8,9,10,2,3,1,4] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 100100000
[4,5,6,7,8,1,9,2,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[4,5,6,7,8,9,10,2,1,3] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 101000000
[6,8,3,4,5,2,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[3,7,1,4,5,6,2,8] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[3,8,2,4,5,1,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => 0101000
[3,7,2,1,5,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[1,7,4,6,3,5,2,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,3,6,5,7,2,4,8] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[1,6,8,5,4,3,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[6,8,5,3,2,4,1,7] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => 1110100
[1,3,7,6,8,5,2,4] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => 1101000
[4,1,7,8,6,5,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[4,7,6,1,2,3,8,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[4,5,2,6,7,8,1,3] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[1,7,6,2,3,8,5,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[4,5,1,3,7,6,2,8] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[7,2,3,8,6,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[1,5,4,3,8,6,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,3,7,5,8,4,6,2] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[5,8,1,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[1,6,7,4,5,3,2,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,8,2,4,6,5,3,7] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => 1110000
[7,2,1,6,4,3,8,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[1,4,8,7,2,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => 1101000
[4,1,3,6,5,8,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,3,7,1,5,8,2,6] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[6,4,1,8,3,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[3,5,4,1,7,8,6,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[6,8,7,2,1,5,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[8,3,6,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[6,1,3,5,7,2,8,4] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => 1010000
[7,4,1,6,5,2,8,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[7,4,2,8,6,5,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[6,8,4,7,3,2,5,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[5,8,7,3,2,1,6,4] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => 1101010
[5,8,7,2,6,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => 1111010
[6,8,7,3,5,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => 1101010
[7,2,5,6,8,3,4,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[1,6,5,7,8,3,2,4] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[5,4,8,6,7,3,1,2] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => 1010100
[7,3,6,4,2,1,8,5] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => 1110100
[4,8,5,2,7,3,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[6,4,3,1,8,5,2,7] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[7,4,3,1,5,8,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[4,8,5,2,6,7,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[7,3,2,1,8,5,6,4] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[7,8,1,9,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[6,7,8,1,9,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[5,6,7,8,1,9,2,3,4] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 00010000
[9,1,2,3,4,5,7,6,8] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[2,1,3,4,5,9,6,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[1,2,7,5,8,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[5,1,3,8,2,7,4,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[5,7,1,3,2,8,4,6] => [[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => 1001000
[8,1,7,2,3,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[1,4,7,8,3,2,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[8,7,1,3,2,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[8,1,6,3,2,4,7,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[1,8,2,7,6,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 1111000
[8,1,6,3,2,7,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[8,2,1,7,6,3,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,7,2,4,3,1,5,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[2,1,7,4,10,3,6,5,9,8] => [[1,3,5,8],[2,4,6,9],[7,10]] => [7,10,2,4,6,9,1,3,5,8] => 010001000
[10,1,3,2,6,5,9,4,8,7] => [[1,2,4,7],[3,5,8],[6,9],[10]] => [10,6,9,3,5,8,1,2,4,7] => 101001000
[2,6,3,4,7,8,5,1] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[7,6,3,1,8,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[7,6,3,8,1,5,2,4] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => 1010100
[1,6,4,7,8,5,3,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[7,2,5,8,6,1,3,4] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => 0100100
[4,1,3,6,2,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[7,1,4,6,3,2,5,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[6,7,2,3,8,4,1,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[1,2,3,4,5,6,8,9,7,10] => [[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => 100000000
[1,8,3,7,5,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[7,1,3,8,5,2,6,4] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[4,7,1,5,2,6,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[7,4,1,5,2,6,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[3,1,6,7,5,2,8,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[8,6,2,4,5,1,7,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[8,6,7,5,2,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => 1101010
[7,1,4,5,2,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[4,1,6,2,3,8,7,5] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => 1001000
[4,1,7,6,5,2,8,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[8,4,1,5,6,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[2,8,4,7,3,5,6,1] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[1,5,4,8,3,2,6,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[1,5,7,6,3,8,2,4] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[2,6,3,1,7,8,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[8,7,1,3,5,2,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => 1101000
[5,1,4,7,6,8,3,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,6,4,7,1,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => 1101000
[5,3,7,4,6,1,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[3,6,4,7,5,8,2,1] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[9,1,2,3,4,8,6,5,7] => [[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => 11100000
[7,1,2,3,4,9,5,8,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 10100000
[6,1,2,3,8,4,5,9,7] => [[1,2,3,4,5,7],[6,8,9]] => [6,8,9,1,2,3,4,5,7] => 00100000
[8,1,2,3,4,5,10,6,9,7] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 101000000
[9,1,2,3,8,5,4,7,6] => [[1,2,3,4,6],[5,7],[8],[9]] => [9,8,5,7,1,2,3,4,6] => 11010000
[3,9,1,4,2,5,6,8,7] => [[1,2,5,6,7],[3,4,8],[9]] => [9,3,4,8,1,2,5,6,7] => 10010000
[6,4,7,1,5,2,8,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 0100100
[1,3,4,5,2,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => 10000000
[1,2,3,4,5,7,8,6,9,10] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => 100000000
[1,2,3,4,5,7,8,9,6,10] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => 100000000
[2,3,4,5,1,6,7,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[4,5,6,1,7,8,9,2,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[2,1,4,5,3,6,7,8,9] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => 01000000
[2,4,5,6,1,7,8,9,10,3] => [[1,3,5,6,7,8,9,10],[2,4]] => [2,4,1,3,5,6,7,8,9,10] => 010000000
[4,5,1,7,2,8,6,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[6,4,7,2,5,3,1,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[7,1,4,3,6,8,2,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[8,5,1,6,4,3,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[8,5,2,1,6,4,7,3] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => 1010100
[1,7,2,8,5,4,6,3] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[6,7,1,4,8,5,3,2] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[7,3,2,8,5,1,4,6] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[4,1,7,3,2,8,5,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[8,3,5,2,4,7,1,6] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => 1100100
[1,2,6,3,7,8,5,4] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => 1010000
[6,1,3,7,8,5,4,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[2,6,4,7,5,3,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[4,5,1,8,6,2,7,3] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => 1001000
[5,6,1,8,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[3,9,2,4,5,6,7,8,1] => [[1,4,5,6,7,8],[2,9],[3]] => [3,2,9,1,4,5,6,7,8] => 10100000
[5,8,7,3,2,1,4,6] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[3,4,7,6,8,2,1,5] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[2,8,1,3,7,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[1,8,7,2,5,6,4,3] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => 1111000
[3,4,7,1,5,8,2,6] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => 1001000
[4,2,7,1,5,8,3,6] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => 0100100
[1,4,7,5,2,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[2,5,7,6,8,3,4,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[3,1,6,7,2,8,5,4] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => 1001000
[6,5,1,3,8,4,7,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[1,7,4,8,5,3,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[3,4,7,5,6,8,2,1] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => 1110000
[3,4,7,8,5,2,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[1,8,7,5,2,6,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 1101000
[1,8,7,4,5,6,2,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,8,7,3,6,4,2,5] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => 1111000
[1,4,7,5,8,2,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,4,7,2,3,6,5,8] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => 1010000
[1,7,2,5,6,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,2,6,5,8,3,4,7] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => 1010000
[1,5,8,2,6,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => 1010000
[6,8,3,2,7,5,1,4] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => 0101010
[7,3,6,8,1,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => 1100100
[4,1,5,7,2,6,3,8] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[5,7,2,1,3,6,4,8] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[7,1,10,9,2,3,4,5,6,8] => [[1,2,3,4,5,6,8],[7,9],[10]] => [10,7,9,1,2,3,4,5,6,8] => 101000000
[2,8,1,9,10,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8,9,10]] => [2,8,9,10,1,3,4,5,6,7] => 000100000
[3,5,6,7,2,4,1,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => 1010000
[6,4,7,5,2,3,1,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 1010100
[1,5,6,4,8,3,2,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => 1101000
[2,1,5,6,4,8,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[5,3,2,1,7,8,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[7,4,3,8,6,1,5,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[4,3,7,1,5,8,6,2] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => 0100100
[8,2,4,5,3,1,7,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[1,4,3,2,7,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[1,5,2,8,6,3,10,9,7,4] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [10,8,9,5,6,7,1,2,3,4] => 101001000
[9,6,2,1,3,7,4,10,8,5] => [[1,3,4,5],[2,7,8],[6,10],[9]] => [9,6,10,2,7,8,1,3,4,5] => 101001000
[4,8,7,2,6,1,3,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[4,5,8,2,1,7,3,6] => [[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => 0100100
[6,8,4,1,7,3,2,5] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[5,6,4,3,2,1,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[5,6,4,3,2,1,7,8,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[4,5,3,2,1,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[6,7,5,4,3,2,1,8,9,10] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[6,7,4,3,2,1,5,8,9] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 11101000
[5,6,4,3,2,7,1,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[6,7,9,8,5,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => 11111100
[7,6,8,9,5,4,3,2,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[7,8,10,9,6,5,4,3,2,1] => [[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [10,7,6,5,4,3,2,1,8,9] => 111111100
[6,7,5,9,8,4,3,2,1] => [[1,7,8],[2,9],[3],[4],[5],[6]] => [6,5,4,3,2,9,1,7,8] => 11110100
[7,6,8,5,9,4,3,2,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[6,5,8,9,7,4,3,2,1] => [[1,7,9],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9] => 11110100
[8,7,9,10,6,5,4,3,2,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[6,3,1,8,2,7,5,4] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => 1010100
[8,5,1,7,3,4,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[5,7,6,3,4,1,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[1,8,3,5,2,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[3,4,6,1,8,5,7,2] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => 1001000
[2,3,8,7,4,5,1,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[1,8,3,5,7,4,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[2,5,8,4,6,7,1,3] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => 0101000
[9,8,6,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => 11100000
[9,8,7,5,1,2,3,4,6] => [[1,2,3,4,6],[5],[7],[8],[9]] => [9,8,7,5,1,2,3,4,6] => 11110000
[9,8,7,6,4,1,2,3,5] => [[1,2,3,5],[4],[6],[7],[8],[9]] => [9,8,7,6,4,1,2,3,5] => 11111000
[9,8,7,6,5,3,1,2,4] => [[1,2,4],[3],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,1,2,4] => 11111100
[7,1,2,6,5,3,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => 1110000
[2,8,3,6,5,7,1,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[9,2,8,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => 11111110
[10,9,8,5,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => [10,9,8,7,5,4,3,2,1,6] => 111111110
[10,9,8,4,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => 111111110
[10,9,4,8,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => 111111110
[10,3,9,8,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,2,1,4] => 111111110
[10,2,9,8,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => 111111110
[3,5,1,2,6,8,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[3,1,2,4,8,7,5,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[5,4,1,2,3,7,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,6,7,2,5,8,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => 1001000
[7,8,5,6,2,4,3,1] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => 1101010
[5,3,8,6,2,4,1,7] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[2,7,4,6,3,8,1,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[5,4,7,8,6,2,1,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[2,7,4,8,3,1,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => 1101000
[8,2,1,3,7,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[6,5,8,2,3,4,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[7,8,2,3,6,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[8,1,2,7,5,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[4,2,8,1,3,7,5,6] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => 0101000
[7,5,1,8,2,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[8,2,4,1,3,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[8,1,6,2,3,7,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[7,1,8,2,3,6,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => 1010000
[4,2,6,7,5,1,8,3] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => 0101000
[4,7,2,5,3,8,1,6] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => 1100100
[3,5,7,4,2,8,1,6] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[2,4,7,6,3,8,1,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[4,6,8,5,1,2,3,7] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => 1001000
[3,4,7,6,1,8,2,5] => [[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => 1001000
[7,1,8,5,3,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[7,2,1,8,3,9,4,10,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[8,2,1,9,3,10,4,11,5,12,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[6,8,7,4,5,3,2,1] => [[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => 1111010
[6,4,8,1,5,2,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[7,2,4,1,6,3,5,8] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,6,1,5,3,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => 1001000
[3,8,7,5,4,2,6,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => 1111100
[5,7,8,2,3,6,4,1] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => 1100100
[2,8,7,3,1,4,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[10,2,3,1,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[9,2,3,4,1,5,6,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[10,9,8,6,5,7,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => 111111110
[3,8,6,7,5,4,2,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[7,8,5,1,4,6,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[8,4,7,6,3,1,2,5] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[6,4,7,5,3,2,8,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,3,1,4,5,6,8,2] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => 1010000
[5,8,4,1,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => 1010100
[5,3,4,7,6,1,8,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[4,5,2,1,6,3,8,7] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => 1001000
[4,5,2,1,6,7,3,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[5,3,8,6,2,4,7,1] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[2,5,1,6,4,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[3,6,2,8,5,7,1,4] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => 0100100
[4,6,8,1,5,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[4,1,2,5,7,6,3,8] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[4,6,5,8,1,7,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[2,1,3,6,4,8,7,5] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => 1001000
[4,8,1,2,7,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[1,6,4,3,8,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => 1010100
[2,5,8,7,3,1,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[3,8,7,2,6,1,4,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[2,5,1,8,3,6,4,7] => [[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => 1001000
[5,8,4,7,3,2,1,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[5,8,1,3,4,7,2,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[8,3,4,2,7,6,1,5] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => 1010100
[8,7,4,2,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[8,4,2,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => 1110100
[5,4,1,7,8,6,2,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[5,3,4,7,8,1,6,2] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[5,1,4,8,2,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => 0101000
[3,2,8,5,4,1,6,7] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[3,1,2,4,5,6,9,7,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[1,2,8,3,4,6,5,7] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => 1100000
[8,1,2,7,3,5,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => 1110000
[5,7,1,2,6,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[1,2,7,5,6,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[5,1,4,7,2,3,6,8] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[1,3,4,2,5,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => 10000000
[3,5,2,1,6,4,7,8,9] => [[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => 10100000
[4,6,3,2,1,7,5,8,9] => [[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => 11010000
[5,7,4,3,2,1,8,6,9] => [[1,6,8,9],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9] => 11101000
[6,8,5,4,3,2,1,9,7] => [[1,7,9],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9] => 11110100
[1,3,4,2,5,6,7,8,9,10] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => 100000000
[1,2,4,5,6,3,7,8,9,10] => [[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => 100000000
[1,2,3,5,6,7,8,4,9,10] => [[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => 100000000
[3,5,2,1,6,4,7,8,9,10] => [[1,4,6,7,8,9,10],[2,5],[3]] => [3,2,5,1,4,6,7,8,9,10] => 101000000
[4,6,3,2,1,7,5,8,9,10] => [[1,5,7,8,9,10],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9,10] => 110100000
[5,7,4,3,2,1,8,6,9,10] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9,10] => 111010000
[6,8,5,4,3,2,1,9,7,10] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9,10] => 111101000
[7,9,6,5,4,3,2,1,10,8] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8,10] => 111110100
[4,5,6,3,7,2,8,1,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[1,5,6,7,4,8,3,9,2] => [[1,2,6,7,8,9],[3],[4],[5]] => [5,4,3,1,2,6,7,8,9] => 11100000
[5,4,1,6,2,7,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[7,1,3,5,4,2,8,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[6,3,2,4,8,7,1,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[8,3,2,7,4,1,5,6] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => 1101000
[7,3,2,6,5,8,1,4] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => 1010100
[3,6,2,5,7,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[6,4,7,2,3,8,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[7,1,4,3,6,5,8,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[7,1,5,6,3,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[6,1,8,5,4,7,3,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[7,6,1,5,4,2,8,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[5,1,6,8,7,2,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[5,3,2,6,8,7,4,1] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[5,4,6,2,8,7,3,1] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[4,5,8,6,7,2,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => 1101000
[4,5,7,6,1,2,8,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[4,6,5,7,2,1,8,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[7,4,8,6,3,5,1,2] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => 0101010
[7,2,4,3,6,1,8,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[6,3,7,1,4,2,8,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 0100100
[8,5,7,6,2,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[3,5,6,7,8,9,2,4,1] => [[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => 10100000
[3,4,6,7,8,2,5,1] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => 1010000
[2,4,6,7,8,9,1,3,5] => [[1,3,5,7,8,9],[2,4,6]] => [2,4,6,1,3,5,7,8,9] => 00100000
[5,8,4,6,2,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[1,6,8,3,4,2,7,5] => [[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => 0101000
[4,1,7,6,2,8,3,5] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => 1001000
[4,1,8,2,7,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[4,1,7,2,8,5,3,6] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => 1001000
[2,6,5,3,8,4,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[5,7,3,2,8,4,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[8,1,5,2,7,4,3,6] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,1,4,2,8,5,3,6] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[1,4,6,5,3,8,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[2,4,5,8,7,1,3,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[3,1,6,8,7,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => 1110100
[3,1,8,7,5,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => 1110100
[8,2,7,5,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[8,7,2,3,1,5,6,4] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => 1101000
[2,8,5,7,6,1,3,4] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => 1100100
[1,8,7,2,6,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[8,7,2,1,6,4,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[1,8,4,7,6,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[8,7,1,6,4,3,5,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => 1111100
[8,4,1,7,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[4,5,6,7,8,9,1,10,2,3] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 001000000
[4,5,6,7,1,2,8,3,9] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 00100000
[2,3,4,9,5,6,7,8,10,1] => [[1,3,4,5,6,7,8,10],[2],[9]] => [9,2,1,3,4,5,6,7,8,10] => 110000000
[3,6,4,7,5,2,1,8] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => 1101000
[4,8,3,2,6,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[1,4,8,7,6,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 1110100
[7,2,4,1,5,3,8,6] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => 1001000
[2,8,5,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[7,4,6,5,3,2,8,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => 1111100
[5,6,7,2,3,8,4,1] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 1001000
[8,4,2,6,5,7,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[1,7,4,2,8,5,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[3,2,1,7,4,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => 0101000
[6,2,5,7,1,4,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[1,5,3,4,7,2,6,8] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => 1010000
[6,4,7,2,1,3,8,5] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => 1100100
[6,7,3,1,2,4,8,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[3,1,8,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[5,2,3,6,1,8,4,7] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => 1001000
[3,6,2,5,7,8,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[2,7,4,6,8,3,5,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[3,7,6,8,1,5,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[1,5,7,6,8,4,2,3] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[2,7,4,6,8,5,3,1] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => 1111000
[3,7,6,8,5,1,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[4,5,6,3,7,8,9,2,1] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 11100000
[3,4,5,6,2,7,8,9,10,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[5,3,4,7,6,2,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[4,1,8,5,7,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[4,1,8,2,7,5,6,3] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[7,4,5,3,8,1,6,2] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => 1010100
[8,7,2,6,4,5,1,3] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[1,2,3,4,7,9,5,6,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[1,2,3,4,8,5,6,9,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[1,2,3,4,7,8,5,9,6] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[7,1,4,6,8,5,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[1,5,7,8,4,6,3,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[7,3,2,5,1,6,8,4] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => 1101000
[8,7,2,1,3,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => 1110100
[7,3,2,8,1,4,6,5] => [[1,4,5],[2,6],[3,8],[7]] => [7,3,8,2,6,1,4,5] => 1010100
[3,6,2,1,8,4,7,5] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => 0100100
[3,5,1,7,6,4,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[8,7,4,2,1,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => 1101010
[5,4,7,6,2,1,8,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[3,5,2,8,7,1,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => 1010100
[3,7,6,5,4,1,8,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[4,6,5,3,1,8,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[4,5,2,6,7,3,8,1] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 1010000
[4,7,1,8,5,3,2,6] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => 1100100
[8,6,7,1,4,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,6,7,2,1,3,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[8,5,6,1,7,4,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[6,4,2,3,1,7,5,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[3,4,6,1,8,2,7,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[5,3,1,4,7,6,2,8] => [[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => 0101000
[6,4,5,2,7,1,3,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[7,5,3,6,2,1,4,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[6,4,3,7,1,8,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[3,1,2,7,6,4,5,8] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[5,1,2,7,6,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[5,6,1,7,2,4,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[3,5,6,8,1,2,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,6,5,7,1,3,4,8] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[4,6,1,5,2,8,7,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[5,1,8,6,2,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[3,6,8,2,7,5,1,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[5,6,4,1,7,2,8,3] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => 1001000
[7,4,2,3,1,6,8,5] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[10,7,1,2,3,4,8,9,5,6] => [[1,2,3,4,5,6],[7,8,9],[10]] => [10,7,8,9,1,2,3,4,5,6] => 100100000
[1,6,4,5,7,3,2,8] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => 1110000
[1,7,5,6,4,8,3,2] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[1,5,6,7,3,2,4,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[8,2,4,3,1,7,5,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,2,1,4,3,7,5,6] => [[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => 1001000
[7,6,8,2,1,5,3,4] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => 1010100
[4,5,6,1,3,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[6,3,5,7,4,2,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => 1111000
[8,2,1,6,4,7,3,5] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[1,2,8,5,7,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[5,8,4,3,7,6,2,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => 1101010
[8,1,5,3,4,7,2,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[6,1,8,7,4,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[5,8,6,4,2,1,7,3] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[2,6,1,8,4,7,5,3] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => 1100100
[5,3,8,6,1,2,7,4] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => 0100100
[5,8,1,4,6,2,7,3] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => 0101000
[3,7,6,2,1,4,8,5] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[4,6,2,3,7,1,8,5] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[6,4,3,2,7,8,5,1] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 1110100
[7,8,6,4,2,5,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => 1101010
[6,4,5,8,7,1,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,4,1,7,8,3,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => 1100100
[6,4,3,8,7,2,5,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[2,6,4,5,7,1,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[3,4,6,5,2,8,1,7] => [[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => 1101000
[4,6,7,5,8,2,1,3] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[1,2,5,3,7,8,6,4] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => 1010000
[4,8,3,5,1,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[6,1,3,7,2,8,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[3,1,5,8,2,6,7,4] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[2,8,5,3,1,7,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[7,2,1,6,4,8,3,5] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => 1100100
[6,2,4,5,7,1,8,3] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => 1010000
[2,3,8,7,1,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[2,1,3,4,5,8,6,7,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[6,8,2,5,4,7,3,1] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => 1110100
[9,2,3,4,5,1,6,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[10,2,3,4,5,6,7,1,8,9] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[10,2,3,4,5,6,1,7,8,9] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[10,2,3,4,5,1,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[10,2,3,4,1,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[3,2,9,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2,9],[3]] => [3,2,9,1,4,5,6,7,8] => 10100000
[10,7,1,2,3,4,5,9,6,8] => [[1,2,3,4,5,6,8],[7,9],[10]] => [10,7,9,1,2,3,4,5,6,8] => 101000000
[5,3,2,7,6,1,8,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,6,4,2,8,7,1,3] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => 1010100
[5,7,4,2,6,1,8,3] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => 1010100
[5,4,7,1,6,2,8,3] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => 0100100
[6,4,7,1,2,3,8,5] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => 1001000
[1,8,7,2,3,4,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 1110000
[1,8,3,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => 1110100
[1,3,8,2,5,6,4,7] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => 1010000
[1,3,2,7,4,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => 1010000
[1,3,8,4,6,2,7,5] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => 1010000
[2,5,7,6,3,8,4,1] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => 1101000
[4,5,6,7,8,9,1,2,10,3] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 001000000
[1,7,8,4,2,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[6,2,1,5,3,7,8,4] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => 1001000
[6,2,5,1,3,8,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,2,8,5,1,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,1,2,7,3,8,4,10,9,5] => [[1,2,3,4,5],[6,7,8,9],[10]] => [10,6,7,8,9,1,2,3,4,5] => 100010000
[6,1,2,7,3,10,8,4,9,5] => [[1,2,3,4,5],[6,7,8,9],[10]] => [10,6,7,8,9,1,2,3,4,5] => 100010000
[6,1,2,10,7,3,8,4,9,5] => [[1,2,3,4,5],[6,7,8,9],[10]] => [10,6,7,8,9,1,2,3,4,5] => 100010000
[10,6,1,2,7,3,8,4,9,5] => [[1,2,3,4,5],[6,7,8,9],[10]] => [10,6,7,8,9,1,2,3,4,5] => 100010000
[9,4,10,8,3,7,2,6,1,5] => [[1,5],[2,6],[3,7],[4,8],[9,10]] => [9,10,4,8,3,7,2,6,1,5] => 010101010
[11,5,12,10,4,9,3,8,2,7,1,6] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]] => [11,12,5,10,4,9,3,8,2,7,1,6] => 01010101010
[5,8,1,6,4,7,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => 1100100
[2,4,7,5,1,8,6,3] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => 0101000
[3,6,5,7,8,2,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[3,6,5,1,8,7,4,2] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => 1010100
[7,8,1,2,5,4,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[2,8,4,3,5,1,7,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[5,2,4,7,6,8,1,3] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => 0101000
[3,1,5,7,4,8,6,2] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[4,1,7,6,8,2,5,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[1,2,6,5,8,3,7,4] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => 0101000
[7,3,5,6,1,4,2,8] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[5,8,3,1,6,7,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[4,7,1,6,8,5,2,3] => [[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => 1100100
[5,8,7,1,6,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[1,7,3,8,2,5,4,6] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => 0101000
[5,3,1,8,6,7,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 1010100
[9,5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5],[9]] => [9,5,4,3,2,1,6,7,8] => 11111000
[10,3,4,1,2,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3,4],[10]] => [10,3,4,1,2,5,6,7,8,9] => 101000000
[8,3,2,6,5,1,7,4] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => 1010100
[7,8,6,3,2,5,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => 1101010
[1,6,4,8,2,3,5,7] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => 1010000
[1,4,7,3,5,8,6,2] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[8,6,1,4,3,2,7,5] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[7,3,8,2,4,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[6,3,7,8,1,2,5,4] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => 0100100
[7,6,1,5,2,3,8,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[5,1,8,6,7,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[5,7,1,6,8,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[6,8,4,2,1,7,3,5] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => 1010100
[6,3,2,8,1,7,4,5] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => 1010100
[6,4,1,3,7,8,5,2] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[6,8,5,4,3,7,1,2] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => 1101010
[5,7,4,8,3,1,2,6] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => 1100100
[1,6,4,7,5,3,2,8] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => 1101000
[1,6,5,3,2,7,4,8] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,6,8,7,4,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[1,4,7,5,3,2,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => 1110000
[1,4,7,5,3,2,8,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 1101000
[1,7,4,6,8,5,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => 1111000
[5,7,6,1,8,2,4,3] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => 1100100
[4,8,6,5,7,2,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => 1110100
[8,5,6,2,4,7,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[1,2,3,7,4,8,5,9,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[1,2,3,4,7,5,9,8,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 10100000
[1,2,6,3,7,4,9,8,5] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 10010000
[1,2,3,8,6,4,9,7,5] => [[1,2,3,4,5],[6,7],[8,9]] => [8,9,6,7,1,2,3,4,5] => 01010000
[1,2,3,6,4,9,8,7,5] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => 11010000
[5,1,6,2,7,3,9,8,4] => [[1,2,3,4],[5,6,7,8],[9]] => [9,5,6,7,8,1,2,3,4] => 10001000
[1,5,2,8,6,3,9,7,4] => [[1,2,3,4],[5,6,7],[8,9]] => [8,9,5,6,7,1,2,3,4] => 01001000
[1,5,2,6,3,9,8,7,4] => [[1,2,3,4],[5,6,7],[8],[9]] => [9,8,5,6,7,1,2,3,4] => 11001000
[1,2,7,5,3,9,8,6,4] => [[1,2,3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,1,2,3,4] => 10101000
[1,2,5,3,9,8,7,6,4] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 11101000
[4,1,7,5,2,9,8,6,3] => [[1,2,3],[4,5,6],[7,8],[9]] => [9,7,8,4,5,6,1,2,3] => 10100100
[4,1,5,2,9,8,7,6,3] => [[1,2,3],[4,5,6],[7],[8],[9]] => [9,8,7,4,5,6,1,2,3] => 11100100
[1,6,4,2,9,8,7,5,3] => [[1,2,3],[4,5],[6,7],[8],[9]] => [9,8,6,7,4,5,1,2,3] => 11010100
[1,4,2,9,8,7,6,5,3] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 11110100
[7,5,3,1,9,8,6,4,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 10101010
[5,3,1,9,8,7,6,4,2] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,3,4,1,2] => 11101010
[1,2,3,4,8,5,9,6,10,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 001000000
[1,2,3,4,5,8,6,10,9,7] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 101000000
[1,2,3,7,4,8,5,10,9,6] => [[1,2,3,4,5,6],[7,8,9],[10]] => [10,7,8,9,1,2,3,4,5,6] => 100100000
[1,2,3,4,9,7,5,10,8,6] => [[1,2,3,4,5,6],[7,8],[9,10]] => [9,10,7,8,1,2,3,4,5,6] => 010100000
[1,2,3,4,7,5,10,9,8,6] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [10,9,7,8,1,2,3,4,5,6] => 110100000
[1,6,2,7,3,8,4,10,9,5] => [[1,2,3,4,5],[6,7,8,9],[10]] => [10,6,7,8,9,1,2,3,4,5] => 100010000
[1,2,6,3,9,7,4,10,8,5] => [[1,2,3,4,5],[6,7,8],[9,10]] => [9,10,6,7,8,1,2,3,4,5] => 010010000
[1,2,6,3,7,4,10,9,8,5] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [10,9,6,7,8,1,2,3,4,5] => 110010000
[1,2,3,8,6,4,10,9,7,5] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,1,2,3,4,5] => 101010000
[1,2,3,6,4,10,9,8,7,5] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 111010000
[5,1,6,2,9,7,3,10,8,4] => [[1,2,3,4],[5,6,7,8],[9,10]] => [9,10,5,6,7,8,1,2,3,4] => 010001000
[5,1,6,2,7,3,10,9,8,4] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [10,9,5,6,7,8,1,2,3,4] => 110001000
[1,5,2,6,3,10,9,8,7,4] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [10,9,8,5,6,7,1,2,3,4] => 111001000
[1,2,7,5,3,10,9,8,6,4] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 110101000
[1,2,5,3,10,9,8,7,6,4] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 111101000
[7,4,1,8,5,2,10,9,6,3] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [10,7,8,9,4,5,6,1,2,3] => 100100100
[4,1,9,7,5,2,10,8,6,3] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [9,10,7,8,4,5,6,1,2,3] => 010100100
[4,1,7,5,2,10,9,8,6,3] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 110100100
[4,1,5,2,10,9,8,7,6,3] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => 111100100
[1,8,6,4,2,10,9,7,5,3] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 101010100
[1,6,4,2,10,9,8,7,5,3] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 111010100
[1,4,2,10,9,8,7,6,5,3] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,5,1,2,3] => 111110100
[7,5,3,1,10,9,8,6,4,2] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => 110101010
[5,3,1,10,9,8,7,6,4,2] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,3,4,1,2] => 111101010
[4,3,1,6,2,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[7,5,2,1,8,4,3,6] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => 1010100
[5,3,1,4,7,8,2,6] => [[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => 1001000
[7,1,2,4,8,3,5,6] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[7,1,5,8,2,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[5,2,4,1,6,8,3,7] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => 1001000
[1,2,4,7,8,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[8,3,6,5,7,4,2,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => 1111100
[8,2,6,5,7,4,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 1111100
[8,4,7,1,5,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 1100100
[8,2,5,3,7,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[5,3,1,8,4,2,6,7] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => 0101000
[2,1,6,5,8,7,3,4] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => 0100100
[6,1,5,4,7,3,8,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => 1111000
[3,1,8,4,2,7,6,5] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => 1100100
[2,8,7,4,1,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => 1100100
[8,2,3,1,7,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[8,7,2,3,1,6,4,5] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => 1101000
[6,8,2,3,1,7,4,5] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => 0101000
[8,2,5,7,3,1,4,6] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[8,2,7,3,1,4,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => 1110000
[5,3,2,8,7,1,6,4] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => 0101010
[8,6,7,4,1,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[4,1,3,6,5,2,8,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,6,3,2,5,1,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => 1100100
[4,8,3,2,6,5,7,1] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => 1010100
[8,1,6,2,5,4,7,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[2,4,3,8,6,1,7,5] => [[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => 0101000
[2,6,3,8,5,4,7,1] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[6,1,3,2,5,8,7,4] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => 0101000
[6,8,4,2,5,3,7,1] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => 1010100
[8,1,4,6,5,3,7,2] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => 1111000
[7,3,5,6,1,8,2,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[5,7,6,3,4,2,8,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[4,6,7,2,3,5,8,1] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => 1001000
[6,5,4,8,7,2,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[7,2,8,3,9,4,10,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,3,9,4,10,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,3,9,10,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,3,9,10,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,3,9,10,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,9,3,4,10,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,9,3,4,10,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,9,3,10,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,9,3,10,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,9,3,10,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,9,10,3,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,9,10,3,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,2,8,9,10,3,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,3,9,4,10,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,3,9,4,10,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,3,9,10,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,3,9,10,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,3,9,10,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,3,4,10,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,3,4,10,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,3,10,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,3,10,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,3,10,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,10,3,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,10,3,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,10,3,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,2,9,10,1,3,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,3,4,10,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,3,4,10,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,3,10,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,3,10,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,3,10,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,10,3,4,5,1,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,10,3,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,10,3,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,2,10,1,3,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,10,2,3,4,1,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,10,2,3,1,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[7,8,9,10,2,1,3,4,5,6] => [[1,3,4,5,6],[2,8,9,10],[7]] => [7,2,8,9,10,1,3,4,5,6] => 100010000
[8,2,9,3,10,4,11,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,4,11,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,4,11,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,4,11,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,4,11,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,3,10,11,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,4,11,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,4,11,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,4,11,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,4,11,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,4,11,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,3,11,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,3,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,12,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,12,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,12,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,12,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,2,9,10,11,12,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,4,11,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,4,11,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,4,11,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,4,11,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,4,11,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,3,10,11,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,4,11,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,4,11,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,4,11,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,4,11,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,4,11,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,3,11,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,3,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,12,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,12,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,12,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,12,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,2,10,11,12,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,4,11,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,4,11,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,4,11,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,4,11,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,4,11,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,3,11,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,3,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,12,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,12,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,12,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,12,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,2,11,12,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,4,5,12,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,4,5,12,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,4,12,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,4,12,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,4,12,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,12,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,12,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,12,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,3,12,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,12,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,12,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,12,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,12,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,2,12,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,12,2,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,12,2,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,12,2,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,12,2,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[8,9,10,11,12,2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,9,10,11,12],[8]] => [8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000
[5,7,4,3,6,2,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => 1110100
[1,2,8,3,4,5,6,9,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[1,2,9,3,4,5,6,7,10,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[1,2,3,4,5,9,6,7,10,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[9,1,7,2,3,4,5,8,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 10100000
[1,8,5,6,2,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 1001000
[2,1,3,4,5,9,6,10,7,8] => [[1,3,4,5,6,7,8],[2,9,10]] => [2,9,10,1,3,4,5,6,7,8] => 001000000
[8,5,6,1,3,2,7,4] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => 1100100
[5,3,7,8,2,6,1,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[4,5,8,7,2,3,1,6] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[8,2,6,4,3,7,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => 1110100
[6,3,1,8,7,4,5,2] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => 1010100
[8,6,3,2,7,4,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[1,3,6,8,7,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[5,7,1,3,6,2,4,8] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[4,7,1,3,2,5,8,6] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => 1001000
[5,8,7,3,4,2,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => 1110100
[8,5,2,3,7,4,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[8,5,1,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[3,7,8,5,6,2,4,1] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => 1010100
[4,3,8,7,1,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[1,5,3,8,4,7,2,6] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => 0101000
[8,2,3,1,6,5,7,4] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => 1101000
[8,4,2,7,1,3,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => 1010100
[8,4,2,3,1,6,7,5] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => 1101000
[4,7,2,3,6,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => 1101000
[3,8,2,6,4,7,1,5] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => 1100100
[1,7,5,8,6,2,4,3] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => 1010100
[6,5,1,7,4,8,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => 1110100
[10,9,8,6,7,5,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => 111111110
[7,6,3,5,1,4,8,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[3,5,1,8,6,2,4,7] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => 1001000
[8,6,5,7,4,3,2,1,9] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => 11111100
[10,9,7,6,8,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => 111111110
[6,7,5,8,4,3,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[10,8,7,6,9,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => 111111110
[9,8,7,6,4,3,5,1,2] => [[1,2],[3,5],[4],[6],[7],[8],[9]] => [9,8,7,6,4,3,5,1,2] => 11111010
[1,8,7,5,4,6,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[8,1,6,7,4,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[8,1,6,4,7,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => 1110100
[6,4,8,1,5,3,7,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[1,6,4,3,5,8,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[5,1,4,3,7,8,6,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => 1101000
[5,7,1,8,6,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[5,7,6,3,4,2,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[4,1,3,7,6,5,2,8] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[5,8,3,6,7,2,4,1] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => 1010100
[8,1,6,2,5,7,4,3] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => 1111000
[6,8,7,3,4,2,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => 1110100
[5,7,3,6,4,2,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[5,7,3,6,4,1,8,2] => [[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => 1010100
[3,7,5,6,4,1,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,1,8,2,3,4,5,9,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 00100000
[6,8,1,2,3,4,5,9,7] => [[1,2,3,4,5,7],[6,8,9]] => [6,8,9,1,2,3,4,5,7] => 00100000
[2,8,5,7,3,4,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[4,5,2,6,3,1,7,8,9] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[5,6,2,3,7,4,1,8,9] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 10010000
[3,4,5,2,1,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[4,5,2,6,3,1,7,8,9,10] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 101000000
[5,6,2,3,7,4,1,8,9,10] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 100100000
[5,3,6,8,2,4,1,7] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => 1100100
[7,1,2,5,3,8,4,6] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => 1010000
[3,7,4,2,5,1,8,6] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => 1101000
[1,8,3,4,5,7,2,6] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => 1010000
[4,5,7,6,2,1,3,8] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => 1101000
[7,8,2,6,5,4,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => 1111010
[5,3,7,8,4,2,1,6] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => 1100100
[7,3,6,8,1,5,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => 1110100
[7,5,8,2,4,3,6,1] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => 1110100
[6,5,8,2,3,4,1,7] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => 1101000
[8,1,5,3,4,6,2,7] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => 1110000
[1,7,2,4,8,5,6,3] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => 1010000
[5,8,2,3,7,4,6,1] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => 1101000
[8,7,2,3,5,4,6,1] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => 1111000
[1,7,6,8,4,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[2,7,3,1,8,5,6,4] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => 0101000
[3,8,5,2,1,6,7,4] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => 1101000
[4,8,7,1,2,5,3,6] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => 1101000
[8,7,2,6,1,4,3,5] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => 1110100
[6,1,7,3,8,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[1,4,7,6,8,3,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[1,7,2,8,6,5,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[5,7,1,6,4,2,3,8] => [[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => 1101000
[2,8,4,6,7,1,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => 1101000
[3,8,5,1,4,2,6,7] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => 1101000
[1,7,6,2,5,3,8,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => 1101000
[1,7,5,2,4,3,8,6] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => 1101000
[9,7,6,5,4,3,2,8,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => 11111110
[1,3,2,5,7,4,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => 00010000
[3,1,2,5,7,6,8,4] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => 1010000
[5,1,7,3,2,6,8,4] => [[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => 0101000
[4,8,2,3,7,5,1,6] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => 1101000
[8,7,2,4,3,5,6,1] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[8,6,2,4,3,5,1,7] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 1111000
[8,1,2,4,7,3,5,6] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => 1010000
[4,1,7,5,6,8,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[3,7,6,2,1,4,5,8] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => 1101000
[1,4,8,7,6,3,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => 1110100
[1,2,3,4,7,5,6,9,8] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => 01000000
[4,6,7,5,2,3,1,8] => [[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => 1101000
[6,4,5,3,8,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[1,6,4,5,8,7,3,2] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[8,2,7,4,5,3,1,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[8,2,4,7,5,3,1,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[6,4,5,8,7,3,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[4,6,5,3,8,7,1,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[6,7,2,4,5,3,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => 1101000
[2,8,4,7,5,3,1,6] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => 1111000
[5,8,7,4,6,3,1,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 1101010
[6,5,8,4,7,2,1,3] => [[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => 1101010
[8,1,6,2,5,7,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => 1101000
[8,1,5,3,2,7,4,6] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => 1101000
[8,3,7,6,2,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => 1111010
[1,2,3,4,7,8,5,6,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[1,2,3,4,6,5,8,7,9] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 01000000
[1,2,3,4,8,9,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[4,6,1,3,5,8,2,7] => [[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => 1001000
[4,5,1,3,8,7,2,6] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => 0100100
[6,2,7,1,8,3,4,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[6,4,5,8,1,7,2,3] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => 0100100
[6,2,8,5,1,4,7,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[2,4,7,6,1,8,3,5] => [[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => 1001000
[2,1,7,8,9,3,4,5,6] => [[1,3,4,5,6],[2,7,8,9]] => [2,7,8,9,1,3,4,5,6] => 00010000
[10,8,9,7,6,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => 111111110
[8,6,9,7,4,3,2,1,5] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => 11101010
[8,6,4,9,7,5,2,1,3] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 10101010
[9,7,5,3,8,6,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 10101010
[10,8,6,4,2,1,9,7,5,3] => [[1,3],[2,5],[4,7],[6,9],[8],[10]] => [10,8,6,9,4,7,2,5,1,3] => 110101010
[9,6,7,8,5,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => 11111100
[9,7,10,8,5,4,3,2,1,6] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => 111101010
[9,7,5,10,8,6,3,2,1,4] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => 110101010
[10,8,6,4,9,7,5,2,1,3] => [[1,3],[2,5],[4,7],[6,9],[8],[10]] => [10,8,6,9,4,7,2,5,1,3] => 110101010
[8,6,4,9,7,5,1,2,3] => [[1,2,3],[4,5],[6,7],[8,9]] => [8,9,6,7,4,5,1,2,3] => 01010100
[10,8,6,4,1,2,9,7,5,3] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 101010100
[4,2,5,6,1,7,3,8,9] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 10100000
[5,3,6,4,7,1,8,2,9] => [[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => 01010000
[3,5,2,6,7,1,8,4,9] => [[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => 10100000
[4,3,6,2,7,8,1,9,5] => [[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => 11010000
[3,4,5,1,6,2,7,8,9,10] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 010000000
[4,2,5,6,1,7,3,8,9,10] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 101000000
[4,5,6,7,1,8,2,9,3,10] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 001000000
[5,3,6,4,7,1,8,2,9,10] => [[1,2,7,8,9,10],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9,10] => 010100000
[3,5,2,6,7,1,8,4,9,10] => [[1,4,6,7,8,9,10],[2,5],[3]] => [3,2,5,1,4,6,7,8,9,10] => 101000000
[5,2,6,7,8,1,9,3,10,4] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 100100000
[4,3,6,2,7,8,1,9,5,10] => [[1,5,7,8,9,10],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9,10] => 110100000
[9,8,7,6,5,2,3,4,1] => [[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => 11111100
[6,1,7,8,9,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 00010000
[5,1,6,7,8,2,9,3,4] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 00010000
[5,1,6,7,8,9,10,2,3,4] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 000100000
[7,4,1,3,6,8,2,5] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
[6,8,1,2,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,6,2,8,7,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 1010000
[1,6,8,5,7,4,3,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => 1110100
[3,8,1,2,4,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => 1101000
[3,1,8,4,6,2,5,7] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[3,1,8,4,5,6,2,7] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => 1010000
[7,1,4,2,8,6,3,5] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => 0101000
[1,6,3,5,8,7,4,2] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[7,3,2,6,8,4,5,1] => [[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => 1100100
[8,4,2,6,7,3,5,1] => [[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => 1100100
[4,1,5,7,8,6,2,3] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => 1001000
[7,6,2,3,5,8,4,1] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => 1111000
[2,8,5,7,6,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => 1110100
[7,4,1,6,2,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[5,6,2,4,8,7,3,1] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => 1100100
[8,5,6,2,3,7,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => 1100100
[7,8,1,4,5,6,2,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[8,9,1,5,6,7,4,3,2] => [[1,2,6,7],[3,9],[4],[5],[8]] => [8,5,4,3,9,1,2,6,7] => 11101000
[8,9,1,6,7,4,5,2,3] => [[1,2,3],[4,5],[6,7],[8,9]] => [8,9,6,7,4,5,1,2,3] => 01010100
[8,9,10,1,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7],[8,9,10]] => [8,9,10,5,6,7,1,2,3,4] => 001001000
[9,10,1,6,7,8,5,4,3,2] => [[1,2,7,8],[3,10],[4],[5],[6],[9]] => [9,6,5,4,3,10,1,2,7,8] => 111101000
[3,1,5,7,2,6,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,1,7,5,2,6,8,4] => [[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => 1001000
[3,2,7,5,1,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => 0101000
[5,2,7,3,1,6,8,4] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => 0101000
[6,7,2,1,3,4,8,5] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => 1001000
[2,3,5,6,8,4,7,1] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[2,4,5,8,3,6,7,1] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => 1010000
[1,6,3,7,8,4,2,5] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => 1001000
[5,2,1,3,8,4,6,7] => [[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => 1010000
[1,3,6,4,5,8,2,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[6,1,4,3,5,8,2,7] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => 1101000
[6,5,1,3,8,2,4,7] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => 1101000
[7,1,5,4,6,3,8,2] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => 1111000
[8,9,7,6,5,4,3,2,10,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[7,6,8,5,4,3,2,9,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 11111100
[6,8,7,5,4,3,2,9,1] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => 11111100
[6,4,7,8,3,5,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => 1010100
[3,5,6,7,1,8,4,2] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => 1010000
[2,3,4,5,6,1,8,9,7] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 01000000
[2,6,3,1,4,7,8,5] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => 1010000
[2,9,3,4,5,6,1,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 11000000
[2,7,3,4,1,8,5,6] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => 1010000
[4,2,6,3,8,5,1,7,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,2,6,3,5,8,1,7] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => 1001000
[4,2,6,3,8,5,7,1,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,2,6,3,5,8,7,1,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,2,3,6,5,8,7,1,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,2,6,3,8,5,10,7,1,9] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[4,2,6,3,8,5,7,9,1] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,2,6,3,8,5,10,7,9,1] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[4,2,6,3,5,8,1,7,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,2,6,3,8,5,7,10,9,1] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[4,2,3,6,8,5,7,1,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,2,6,3,5,8,7,10,9,1] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[2,4,6,3,5,8,7,1,9] => [[1,3,5,7,9],[2,6,8],[4]] => [4,2,6,8,1,3,5,7,9] => 10010000
[4,2,3,6,5,8,7,10,9,1] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => 100010000
[8,5,2,4,6,3,1,7] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => 1111000
[7,4,1,2,8,5,6,3] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => 0101000
[6,4,1,8,5,2,3,7] => [[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => 0101000
[8,6,2,3,5,7,4,1] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => 1111000
[6,3,4,8,5,1,2,7] => [[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => 0101000
[8,5,1,2,7,4,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => 1101000
[7,2,6,8,3,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => 1101000
[3,6,2,7,8,9,1,5,4] => [[1,4,7,8,9],[2,5],[3,6]] => [3,6,2,5,1,4,7,8,9] => 01010000
[3,4,5,6,9,1,7,8,2] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => 10100000
[5,6,3,7,8,9,1,4,2] => [[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => 01010000
[3,6,2,7,8,9,10,1,5,4] => [[1,4,7,8,9,10],[2,5],[3,6]] => [3,6,2,5,1,4,7,8,9,10] => 010100000
[5,2,6,7,8,9,10,1,3,4] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 100100000
[8,9,7,6,5,4,1,3,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[8,7,9,6,5,4,1,3,2] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => 11111010
[10,8,7,6,5,4,3,2,9,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => 111111110
[1,3,2,4,5,6,9,7,8] => [[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => 01000000
[2,3,1,4,5,6,9,7,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 01000000
[4,1,5,7,3,6,8,2] => [[1,2,6,8],[3,5,7],[4]] => [4,3,5,7,1,2,6,8] => 1001000
[1,4,5,7,6,8,2,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[2,6,3,1,7,8,5,4] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => 0101000
[6,2,5,7,4,1,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => 1101000
[4,3,5,7,8,2,6,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => 1101000
[5,3,2,7,6,4,1,8] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,3,7,4,6,2,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => 1101000
[5,7,3,2,1,8,6,4] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => 1010100
[5,7,6,3,2,1,8,4] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[1,7,3,5,4,2,6,8] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => 1110000
[5,3,7,4,1,8,6,2] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => 0100100
[7,3,5,4,1,6,8,2] => [[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => 1101000
[7,5,1,6,8,3,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => 1100100
[7,1,5,3,2,4,8,6] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => 1101000
[5,6,7,8,9,3,2,1,4] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 11010000
[6,7,8,9,3,4,1,2,5] => [[1,2,5,9],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9] => 01001000
[6,7,8,9,3,4,2,1,5] => [[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => 11001000
[7,8,9,4,5,2,3,1,6] => [[1,3,6],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6] => 10100100
[7,8,9,4,5,3,2,1,6] => [[1,5,6],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6] => 11100100
[5,6,7,8,9,10,3,2,1,4] => [[1,4,7,8,9,10],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9,10] => 110100000
[7,8,9,10,3,4,5,1,2,6] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => 010001000
[7,8,9,10,3,4,5,2,1,6] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 110001000
[7,8,9,10,4,5,2,3,1,6] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 101001000
[7,8,9,10,4,5,3,2,1,6] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6,10] => 111001000
[7,8,9,10,5,4,3,2,1,6] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => 111101000
[8,9,10,5,6,3,4,1,2,7] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => 010100100
[8,9,10,5,6,3,4,2,1,7] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 110100100
[8,9,10,5,6,4,3,2,1,7] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => 111100100
[8,9,10,6,5,4,3,2,1,7] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7,10] => 111110100
[9,10,7,6,5,4,3,2,1,8] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => 111111010
[10,7,8,6,5,4,3,2,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [10,7,6,5,4,3,2,1,8,9] => 111111100
[1,8,7,5,6,4,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[6,8,2,1,5,4,3,7] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[10,9,1,2,3,7,8,4,5,6] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [10,9,7,8,1,2,3,4,5,6] => 110100000
[10,9,1,2,8,7,3,4,5,6] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 111100000
[6,3,2,1,5,8,4,7] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => 1100100
[4,3,5,6,2,8,1,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => 1101000
[6,3,5,2,7,8,4,1] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => 1101000
[4,5,3,1,6,8,2,7] => [[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => 1001000
[7,4,1,2,5,6,8,3] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => 1010000
[6,5,8,3,7,1,4,2] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => 0101010
[1,5,2,4,7,6,8,3] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => 1010000
[2,5,4,7,1,8,3,6] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => 1001000
[5,4,6,7,8,9,3,2,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[6,5,7,8,9,4,3,2,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 11111000
[6,5,7,8,9,10,4,3,2,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[5,4,6,7,8,3,9,2,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 11110000
[4,3,6,7,8,9,5,2,1] => [[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => 11010000
[5,4,6,7,8,9,10,3,2,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[3,4,5,6,7,10,1,8,9,2] => [[1,2,5,6,7,8,9],[3,4],[10]] => [10,3,4,1,2,5,6,7,8,9] => 101000000
[3,4,5,9,1,6,7,8,2] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => 10100000
[5,6,3,7,8,9,4,1,2] => [[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => 01010000
[3,7,8,4,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => 0101000
[5,2,6,7,8,9,3,1,4] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 10010000
[1,3,8,6,7,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[5,7,1,3,6,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => 1101000
[8,2,5,4,1,7,3,6] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => 1100100
[8,1,7,6,4,2,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => 1111000
[1,8,6,3,7,4,5,2] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => 1101000
[6,4,8,7,3,2,5,1] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => 1101010
[5,6,2,8,7,4,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => 1110100
[3,7,5,6,4,2,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => 1111000
[4,5,8,7,2,3,6,1] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => 1100100
[5,1,3,6,4,2,7,8] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => 1010000
[6,1,2,4,7,5,3,8] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => 1010000
[8,3,1,4,6,7,2,5] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => 1001000
[7,8,5,1,2,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 0101000
[6,4,5,1,8,7,3,2] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => 1010100
[8,6,2,1,7,3,5,4] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => 1010100
[7,8,6,1,4,3,5,2] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => 1110100
[4,6,3,5,7,2,8,1,9] => [[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => 11010000
[5,6,3,4,7,2,8,1,9] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 11010000
[4,3,6,2,5,7,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => 1101000
[1,6,5,7,3,4,8,2] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => 1101000
[1,2,3,4,8,5,9,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 01000000
[1,2,3,4,5,8,6,9,7,10] => [[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => 010000000
[1,2,3,7,4,5,8,6,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 01000000
[1,2,3,4,9,7,5,6,8] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => 11000000
[1,2,3,4,5,9,6,10,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 010000000
[8,2,6,5,1,7,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => 1110100
[7,6,4,1,2,5,8,3] => [[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => 1101000
[2,6,5,4,8,7,1,3] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => 1010100
[5,6,7,1,3,2,4,8] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => 1001000
[1,8,5,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => 1110100
[1,7,6,8,2,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[1,7,8,6,2,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => 1110100
[7,5,3,6,8,4,2,1] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => 1110100
[9,7,6,5,4,3,8,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => 11111110
[10,8,7,6,5,4,3,9,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => 111111110
[10,9,7,6,5,4,8,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => 111111110
[1,6,3,4,2,5,8,7] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => 1010000
[1,5,7,6,2,3,8,4] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => 1001000
[1,4,3,7,6,2,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => 0101000
[4,8,3,1,7,6,2,5] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => 1010100
[5,6,1,4,3,8,7,2] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => 1100100
[5,8,6,4,3,1,7,2] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => 1110100
[4,1,3,7,8,6,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => 1101000
Map
Robinson-Schensted insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.