- FindStat

Identifier

Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00109: Permutations —descent word⟶ Binary words
St000293: Binary words ⟶ ℤ

Values

[[1,2]] => [1,2] => [2,1] => 1 => 0

[[1],[2]] => [2,1] => [1,2] => 0 => 0

[[1,2,3]] => [1,2,3] => [3,2,1] => 11 => 0

[[1,3],[2]] => [2,1,3] => [2,3,1] => 01 => 0

[[1,2],[3]] => [3,1,2] => [1,3,2] => 01 => 0

[[1],[2],[3]] => [3,2,1] => [1,2,3] => 00 => 0

[[1,2,3,4]] => [1,2,3,4] => [4,3,2,1] => 111 => 0

[[1,3,4],[2]] => [2,1,3,4] => [3,4,2,1] => 011 => 0

[[1,2,4],[3]] => [3,1,2,4] => [2,4,3,1] => 011 => 0

[[1,2,3],[4]] => [4,1,2,3] => [1,4,3,2] => 011 => 0

[[1,3],[2,4]] => [2,4,1,3] => [3,1,4,2] => 101 => 1

[[1,2],[3,4]] => [3,4,1,2] => [2,1,4,3] => 101 => 1

[[1,4],[2],[3]] => [3,2,1,4] => [2,3,4,1] => 001 => 0

[[1,3],[2],[4]] => [4,2,1,3] => [1,3,4,2] => 001 => 0

[[1,2],[3],[4]] => [4,3,1,2] => [1,2,4,3] => 001 => 0

[[1],[2],[3],[4]] => [4,3,2,1] => [1,2,3,4] => 000 => 0

[[1,2,3,4,5]] => [1,2,3,4,5] => [5,4,3,2,1] => 1111 => 0

[[1,3,4,5],[2]] => [2,1,3,4,5] => [4,5,3,2,1] => 0111 => 0

[[1,2,4,5],[3]] => [3,1,2,4,5] => [3,5,4,2,1] => 0111 => 0

[[1,2,3,5],[4]] => [4,1,2,3,5] => [2,5,4,3,1] => 0111 => 0

[[1,2,3,4],[5]] => [5,1,2,3,4] => [1,5,4,3,2] => 0111 => 0

[[1,3,5],[2,4]] => [2,4,1,3,5] => [4,2,5,3,1] => 1011 => 1

[[1,2,5],[3,4]] => [3,4,1,2,5] => [3,2,5,4,1] => 1011 => 1

[[1,3,4],[2,5]] => [2,5,1,3,4] => [4,1,5,3,2] => 1011 => 1

[[1,2,4],[3,5]] => [3,5,1,2,4] => [3,1,5,4,2] => 1011 => 1

[[1,2,3],[4,5]] => [4,5,1,2,3] => [2,1,5,4,3] => 1011 => 1

[[1,4,5],[2],[3]] => [3,2,1,4,5] => [3,4,5,2,1] => 0011 => 0

[[1,3,5],[2],[4]] => [4,2,1,3,5] => [2,4,5,3,1] => 0011 => 0

[[1,2,5],[3],[4]] => [4,3,1,2,5] => [2,3,5,4,1] => 0011 => 0

[[1,3,4],[2],[5]] => [5,2,1,3,4] => [1,4,5,3,2] => 0011 => 0

[[1,2,4],[3],[5]] => [5,3,1,2,4] => [1,3,5,4,2] => 0011 => 0

[[1,2,3],[4],[5]] => [5,4,1,2,3] => [1,2,5,4,3] => 0011 => 0

[[1,4],[2,5],[3]] => [3,2,5,1,4] => [3,4,1,5,2] => 0101 => 1

[[1,3],[2,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => 0101 => 1

[[1,2],[3,5],[4]] => [4,3,5,1,2] => [2,3,1,5,4] => 0101 => 1

[[1,3],[2,4],[5]] => [5,2,4,1,3] => [1,4,2,5,3] => 0101 => 1

[[1,2],[3,4],[5]] => [5,3,4,1,2] => [1,3,2,5,4] => 0101 => 1

[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [2,3,4,5,1] => 0001 => 0

[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [1,3,4,5,2] => 0001 => 0

[[1,3],[2],[4],[5]] => [5,4,2,1,3] => [1,2,4,5,3] => 0001 => 0

[[1,2],[3],[4],[5]] => [5,4,3,1,2] => [1,2,3,5,4] => 0001 => 0

[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [1,2,3,4,5] => 0000 => 0

[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => 11111 => 0

[[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [5,6,4,3,2,1] => 01111 => 0

[[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [4,6,5,3,2,1] => 01111 => 0

[[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [3,6,5,4,2,1] => 01111 => 0

[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [2,6,5,4,3,1] => 01111 => 0

[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 01111 => 0

[[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [5,3,6,4,2,1] => 10111 => 1

[[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [4,3,6,5,2,1] => 10111 => 1

[[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [5,2,6,4,3,1] => 10111 => 1

[[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [4,2,6,5,3,1] => 10111 => 1

[[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [3,2,6,5,4,1] => 10111 => 1

[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [5,1,6,4,3,2] => 10111 => 1

[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [4,1,6,5,3,2] => 10111 => 1

[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [3,1,6,5,4,2] => 10111 => 1

[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [2,1,6,5,4,3] => 10111 => 1

[[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [4,5,6,3,2,1] => 00111 => 0

[[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [3,5,6,4,2,1] => 00111 => 0

[[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [3,4,6,5,2,1] => 00111 => 0

[[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [2,5,6,4,3,1] => 00111 => 0

[[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [2,4,6,5,3,1] => 00111 => 0

[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [2,3,6,5,4,1] => 00111 => 0

[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [1,5,6,4,3,2] => 00111 => 0

[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [1,4,6,5,3,2] => 00111 => 0

[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [1,3,6,5,4,2] => 00111 => 0

[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [1,2,6,5,4,3] => 00111 => 0

[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [5,3,1,6,4,2] => 11011 => 2

[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [4,3,1,6,5,2] => 11011 => 2

[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [5,2,1,6,4,3] => 11011 => 2

[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [4,2,1,6,5,3] => 11011 => 2

[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => 11011 => 2

[[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [4,5,2,6,3,1] => 01011 => 1

[[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [3,5,2,6,4,1] => 01011 => 1

[[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [3,4,2,6,5,1] => 01011 => 1

[[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [2,5,3,6,4,1] => 01011 => 1

[[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [2,4,3,6,5,1] => 01011 => 1

[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [4,5,1,6,3,2] => 01011 => 1

[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [3,5,1,6,4,2] => 01011 => 1

[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [3,4,1,6,5,2] => 01011 => 1

[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [2,5,1,6,4,3] => 01011 => 1

[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [2,4,1,6,5,3] => 01011 => 1

[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [2,3,1,6,5,4] => 01011 => 1

[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [1,5,3,6,4,2] => 01011 => 1

[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [1,4,3,6,5,2] => 01011 => 1

[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [1,5,2,6,4,3] => 01011 => 1

[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [1,4,2,6,5,3] => 01011 => 1

[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [1,3,2,6,5,4] => 01011 => 1

[[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [3,4,5,6,2,1] => 00011 => 0

[[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [2,4,5,6,3,1] => 00011 => 0

[[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [2,3,5,6,4,1] => 00011 => 0

[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [2,3,4,6,5,1] => 00011 => 0

[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [1,4,5,6,3,2] => 00011 => 0

[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [1,3,5,6,4,2] => 00011 => 0

[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [1,3,4,6,5,2] => 00011 => 0

[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [1,2,5,6,4,3] => 00011 => 0

[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [1,2,4,6,5,3] => 00011 => 0

[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [1,2,3,6,5,4] => 00011 => 0

[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => 10101 => 3

[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => 10101 => 3

[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [3,1,4,2,6,5] => 10101 => 3

>>> Load all 1498 entries. <<<

[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [2,1,5,3,6,4] => 10101 => 3

[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => 10101 => 3

[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [3,4,5,1,6,2] => 00101 => 1

[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [2,4,5,1,6,3] => 00101 => 1

[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [2,3,5,1,6,4] => 00101 => 1

[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [2,3,4,1,6,5] => 00101 => 1

[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [1,4,5,2,6,3] => 00101 => 1

[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [1,3,5,2,6,4] => 00101 => 1

[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [1,3,4,2,6,5] => 00101 => 1

[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [1,2,5,3,6,4] => 00101 => 1

[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [1,2,4,3,6,5] => 00101 => 1

[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [2,3,4,5,6,1] => 00001 => 0

[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [1,3,4,5,6,2] => 00001 => 0

[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [1,2,4,5,6,3] => 00001 => 0

[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [1,2,3,5,6,4] => 00001 => 0

[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [1,2,3,4,6,5] => 00001 => 0

[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => 00000 => 0

[[1,2,3,4,5,6,7]] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => 111111 => 0

[[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => [6,7,5,4,3,2,1] => 011111 => 0

[[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => [5,7,6,4,3,2,1] => 011111 => 0

[[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => [4,7,6,5,3,2,1] => 011111 => 0

[[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => [3,7,6,5,4,2,1] => 011111 => 0

[[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => [2,7,6,5,4,3,1] => 011111 => 0

[[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 011111 => 0

[[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => [6,4,7,5,3,2,1] => 101111 => 1

[[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => [5,4,7,6,3,2,1] => 101111 => 1

[[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => [6,3,7,5,4,2,1] => 101111 => 1

[[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => [5,3,7,6,4,2,1] => 101111 => 1

[[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => [4,3,7,6,5,2,1] => 101111 => 1

[[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => [6,2,7,5,4,3,1] => 101111 => 1

[[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => [5,2,7,6,4,3,1] => 101111 => 1

[[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => [4,2,7,6,5,3,1] => 101111 => 1

[[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => [3,2,7,6,5,4,1] => 101111 => 1

[[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => [6,1,7,5,4,3,2] => 101111 => 1

[[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => [5,1,7,6,4,3,2] => 101111 => 1

[[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => [4,1,7,6,5,3,2] => 101111 => 1

[[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => [3,1,7,6,5,4,2] => 101111 => 1

[[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => [2,1,7,6,5,4,3] => 101111 => 1

[[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => [5,6,7,4,3,2,1] => 001111 => 0

[[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => [4,6,7,5,3,2,1] => 001111 => 0

[[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => [4,5,7,6,3,2,1] => 001111 => 0

[[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => [3,6,7,5,4,2,1] => 001111 => 0

[[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => [3,5,7,6,4,2,1] => 001111 => 0

[[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => [3,4,7,6,5,2,1] => 001111 => 0

[[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => [2,6,7,5,4,3,1] => 001111 => 0

[[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => [2,5,7,6,4,3,1] => 001111 => 0

[[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => [2,4,7,6,5,3,1] => 001111 => 0

[[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => [2,3,7,6,5,4,1] => 001111 => 0

[[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => [1,6,7,5,4,3,2] => 001111 => 0

[[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => [1,5,7,6,4,3,2] => 001111 => 0

[[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => [1,4,7,6,5,3,2] => 001111 => 0

[[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => [1,3,7,6,5,4,2] => 001111 => 0

[[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => [1,2,7,6,5,4,3] => 001111 => 0

[[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => [6,4,2,7,5,3,1] => 110111 => 2

[[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => [5,4,2,7,6,3,1] => 110111 => 2

[[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => [6,3,2,7,5,4,1] => 110111 => 2

[[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => [5,3,2,7,6,4,1] => 110111 => 2

[[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => [4,3,2,7,6,5,1] => 110111 => 2

[[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => [6,4,1,7,5,3,2] => 110111 => 2

[[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => [5,4,1,7,6,3,2] => 110111 => 2

[[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => [6,3,1,7,5,4,2] => 110111 => 2

[[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => [5,3,1,7,6,4,2] => 110111 => 2

[[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => [4,3,1,7,6,5,2] => 110111 => 2

[[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => [6,2,1,7,5,4,3] => 110111 => 2

[[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => [5,2,1,7,6,4,3] => 110111 => 2

[[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => [4,2,1,7,6,5,3] => 110111 => 2

[[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => [3,2,1,7,6,5,4] => 110111 => 2

[[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => [5,6,3,7,4,2,1] => 010111 => 1

[[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => [4,6,3,7,5,2,1] => 010111 => 1

[[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => [4,5,3,7,6,2,1] => 010111 => 1

[[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => [3,6,4,7,5,2,1] => 010111 => 1

[[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => [3,5,4,7,6,2,1] => 010111 => 1

[[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => [5,6,2,7,4,3,1] => 010111 => 1

[[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => [4,6,2,7,5,3,1] => 010111 => 1

[[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => [4,5,2,7,6,3,1] => 010111 => 1

[[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => [3,6,2,7,5,4,1] => 010111 => 1

[[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => [3,5,2,7,6,4,1] => 010111 => 1

[[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => [3,4,2,7,6,5,1] => 010111 => 1

[[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => [2,6,4,7,5,3,1] => 010111 => 1

[[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => [2,5,4,7,6,3,1] => 010111 => 1

[[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => [2,6,3,7,5,4,1] => 010111 => 1

[[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => [2,5,3,7,6,4,1] => 010111 => 1

[[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => [2,4,3,7,6,5,1] => 010111 => 1

[[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => [5,6,1,7,4,3,2] => 010111 => 1

[[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => [4,6,1,7,5,3,2] => 010111 => 1

[[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => [4,5,1,7,6,3,2] => 010111 => 1

[[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => [3,6,1,7,5,4,2] => 010111 => 1

[[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => [3,5,1,7,6,4,2] => 010111 => 1

[[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => [3,4,1,7,6,5,2] => 010111 => 1

[[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => [2,6,1,7,5,4,3] => 010111 => 1

[[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => [2,5,1,7,6,4,3] => 010111 => 1

[[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => [2,4,1,7,6,5,3] => 010111 => 1

[[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => [2,3,1,7,6,5,4] => 010111 => 1

[[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => [1,6,4,7,5,3,2] => 010111 => 1

[[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => [1,5,4,7,6,3,2] => 010111 => 1

[[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => [1,6,3,7,5,4,2] => 010111 => 1

[[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => [1,5,3,7,6,4,2] => 010111 => 1

[[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => [1,4,3,7,6,5,2] => 010111 => 1

[[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => [1,6,2,7,5,4,3] => 010111 => 1

[[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => [1,5,2,7,6,4,3] => 010111 => 1

[[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => [1,4,2,7,6,5,3] => 010111 => 1

[[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => [1,3,2,7,6,5,4] => 010111 => 1

[[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => [4,5,6,7,3,2,1] => 000111 => 0

[[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => [3,5,6,7,4,2,1] => 000111 => 0

[[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => [3,4,6,7,5,2,1] => 000111 => 0

[[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => [3,4,5,7,6,2,1] => 000111 => 0

[[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => [2,5,6,7,4,3,1] => 000111 => 0

[[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => [2,4,6,7,5,3,1] => 000111 => 0

[[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => [2,4,5,7,6,3,1] => 000111 => 0

[[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => [2,3,6,7,5,4,1] => 000111 => 0

[[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => [2,3,5,7,6,4,1] => 000111 => 0

[[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => [2,3,4,7,6,5,1] => 000111 => 0

[[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => [1,5,6,7,4,3,2] => 000111 => 0

[[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => [1,4,6,7,5,3,2] => 000111 => 0

[[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => [1,4,5,7,6,3,2] => 000111 => 0

[[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => [1,3,6,7,5,4,2] => 000111 => 0

[[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => [1,3,5,7,6,4,2] => 000111 => 0

[[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => [1,3,4,7,6,5,2] => 000111 => 0

[[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => [1,2,6,7,5,4,3] => 000111 => 0

[[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => [1,2,5,7,6,4,3] => 000111 => 0

[[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => [1,2,4,7,6,5,3] => 000111 => 0

[[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4] => 000111 => 0

[[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => [5,6,3,1,7,4,2] => 011011 => 2

[[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => [4,6,3,1,7,5,2] => 011011 => 2

[[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => [4,5,3,1,7,6,2] => 011011 => 2

[[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => [3,6,4,1,7,5,2] => 011011 => 2

[[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => [3,5,4,1,7,6,2] => 011011 => 2

[[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => [5,6,2,1,7,4,3] => 011011 => 2

[[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => [4,6,2,1,7,5,3] => 011011 => 2

[[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => [4,5,2,1,7,6,3] => 011011 => 2

[[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => [3,6,2,1,7,5,4] => 011011 => 2

[[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => [3,5,2,1,7,6,4] => 011011 => 2

[[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => [3,4,2,1,7,6,5] => 011011 => 2

[[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => [2,6,4,1,7,5,3] => 011011 => 2

[[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => [2,5,4,1,7,6,3] => 011011 => 2

[[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => [2,6,3,1,7,5,4] => 011011 => 2

[[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => [2,5,3,1,7,6,4] => 011011 => 2

[[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => [2,4,3,1,7,6,5] => 011011 => 2

[[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => [1,6,4,2,7,5,3] => 011011 => 2

[[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => [1,5,4,2,7,6,3] => 011011 => 2

[[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => [1,6,3,2,7,5,4] => 011011 => 2

[[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => [1,5,3,2,7,6,4] => 011011 => 2

[[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => [1,4,3,2,7,6,5] => 011011 => 2

[[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => [5,2,6,3,7,4,1] => 101011 => 3

[[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => [4,2,6,3,7,5,1] => 101011 => 3

[[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => [4,2,5,3,7,6,1] => 101011 => 3

[[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => [3,2,6,4,7,5,1] => 101011 => 3

[[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => [3,2,5,4,7,6,1] => 101011 => 3

[[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => [5,1,6,3,7,4,2] => 101011 => 3

[[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => [4,1,6,3,7,5,2] => 101011 => 3

[[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => [4,1,5,3,7,6,2] => 101011 => 3

[[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => [3,1,6,4,7,5,2] => 101011 => 3

[[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => [3,1,5,4,7,6,2] => 101011 => 3

[[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => [5,1,6,2,7,4,3] => 101011 => 3

[[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => [4,1,6,2,7,5,3] => 101011 => 3

[[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => [4,1,5,2,7,6,3] => 101011 => 3

[[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => [3,1,6,2,7,5,4] => 101011 => 3

[[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => [3,1,5,2,7,6,4] => 101011 => 3

[[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => [3,1,4,2,7,6,5] => 101011 => 3

[[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => [2,1,6,4,7,5,3] => 101011 => 3

[[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => [2,1,5,4,7,6,3] => 101011 => 3

[[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => [2,1,6,3,7,5,4] => 101011 => 3

[[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => [2,1,5,3,7,6,4] => 101011 => 3

[[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => [2,1,4,3,7,6,5] => 101011 => 3

[[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => [4,5,6,2,7,3,1] => 001011 => 1

[[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => [3,5,6,2,7,4,1] => 001011 => 1

[[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => [3,4,6,2,7,5,1] => 001011 => 1

[[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => [3,4,5,2,7,6,1] => 001011 => 1

[[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => [2,5,6,3,7,4,1] => 001011 => 1

[[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => [2,4,6,3,7,5,1] => 001011 => 1

[[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => [2,4,5,3,7,6,1] => 001011 => 1

[[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => [2,3,6,4,7,5,1] => 001011 => 1

[[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => [2,3,5,4,7,6,1] => 001011 => 1

[[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => [4,5,6,1,7,3,2] => 001011 => 1

[[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => [3,5,6,1,7,4,2] => 001011 => 1

[[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => [3,4,6,1,7,5,2] => 001011 => 1

[[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => [3,4,5,1,7,6,2] => 001011 => 1

[[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => [2,5,6,1,7,4,3] => 001011 => 1

[[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => [2,4,6,1,7,5,3] => 001011 => 1

[[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => [2,4,5,1,7,6,3] => 001011 => 1

[[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => [2,3,6,1,7,5,4] => 001011 => 1

[[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => [2,3,5,1,7,6,4] => 001011 => 1

[[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => [2,3,4,1,7,6,5] => 001011 => 1

[[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => [1,5,6,3,7,4,2] => 001011 => 1

[[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => [1,4,6,3,7,5,2] => 001011 => 1

[[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => [1,4,5,3,7,6,2] => 001011 => 1

[[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => [1,3,6,4,7,5,2] => 001011 => 1

[[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => [1,3,5,4,7,6,2] => 001011 => 1

[[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => [1,5,6,2,7,4,3] => 001011 => 1

[[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => [1,4,6,2,7,5,3] => 001011 => 1

[[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => [1,4,5,2,7,6,3] => 001011 => 1

[[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => [1,3,6,2,7,5,4] => 001011 => 1

[[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => [1,3,5,2,7,6,4] => 001011 => 1

[[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => [1,3,4,2,7,6,5] => 001011 => 1

[[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => [1,2,6,4,7,5,3] => 001011 => 1

[[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => [1,2,5,4,7,6,3] => 001011 => 1

[[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => [1,2,6,3,7,5,4] => 001011 => 1

[[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => [1,2,5,3,7,6,4] => 001011 => 1

[[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => [1,2,4,3,7,6,5] => 001011 => 1

[[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => [3,4,5,6,7,2,1] => 000011 => 0

[[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => [2,4,5,6,7,3,1] => 000011 => 0

[[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => [2,3,5,6,7,4,1] => 000011 => 0

[[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => [2,3,4,6,7,5,1] => 000011 => 0

[[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => [2,3,4,5,7,6,1] => 000011 => 0

[[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => [1,4,5,6,7,3,2] => 000011 => 0

[[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => [1,3,5,6,7,4,2] => 000011 => 0

[[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => [1,3,4,6,7,5,2] => 000011 => 0

[[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => [1,3,4,5,7,6,2] => 000011 => 0

[[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => [1,2,5,6,7,4,3] => 000011 => 0

[[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => [1,2,4,6,7,5,3] => 000011 => 0

[[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => [1,2,4,5,7,6,3] => 000011 => 0

[[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => [1,2,3,6,7,5,4] => 000011 => 0

[[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => [1,2,3,5,7,6,4] => 000011 => 0

[[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => [1,2,3,4,7,6,5] => 000011 => 0

[[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => [4,5,1,6,2,7,3] => 010101 => 3

[[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => [3,5,1,6,2,7,4] => 010101 => 3

[[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => [3,4,1,6,2,7,5] => 010101 => 3

[[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => [3,4,1,5,2,7,6] => 010101 => 3

[[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => [2,5,1,6,3,7,4] => 010101 => 3

[[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => [2,4,1,6,3,7,5] => 010101 => 3

[[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => [2,4,1,5,3,7,6] => 010101 => 3

[[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => [2,3,1,6,4,7,5] => 010101 => 3

[[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => [2,3,1,5,4,7,6] => 010101 => 3

[[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => [1,5,2,6,3,7,4] => 010101 => 3

[[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => [1,4,2,6,3,7,5] => 010101 => 3

[[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => [1,4,2,5,3,7,6] => 010101 => 3

[[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => [1,3,2,6,4,7,5] => 010101 => 3

[[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => [1,3,2,5,4,7,6] => 010101 => 3

[[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => [3,4,5,6,1,7,2] => 000101 => 1

[[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => [2,4,5,6,1,7,3] => 000101 => 1

[[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => [2,3,5,6,1,7,4] => 000101 => 1

[[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => [2,3,4,6,1,7,5] => 000101 => 1

[[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => [2,3,4,5,1,7,6] => 000101 => 1

[[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => [1,4,5,6,2,7,3] => 000101 => 1

[[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => [1,3,5,6,2,7,4] => 000101 => 1

[[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => [1,3,4,6,2,7,5] => 000101 => 1

[[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => [1,3,4,5,2,7,6] => 000101 => 1

[[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => [1,2,5,6,3,7,4] => 000101 => 1

[[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => [1,2,4,6,3,7,5] => 000101 => 1

[[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => [1,2,4,5,3,7,6] => 000101 => 1

[[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => [1,2,3,6,4,7,5] => 000101 => 1

[[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => [1,2,3,5,4,7,6] => 000101 => 1

[[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => [2,3,4,5,6,7,1] => 000001 => 0

[[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => [1,3,4,5,6,7,2] => 000001 => 0

[[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => [1,2,4,5,6,7,3] => 000001 => 0

[[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => [1,2,3,5,6,7,4] => 000001 => 0

[[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => [1,2,3,4,6,7,5] => 000001 => 0

[[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => [1,2,3,4,5,7,6] => 000001 => 0

[[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => 000000 => 0

[[1,2,3,4,5,6,7,8]] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => 1111111 => 0

[[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => [7,8,6,5,4,3,2,1] => 0111111 => 0

[[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => [6,8,7,5,4,3,2,1] => 0111111 => 0

[[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => [5,8,7,6,4,3,2,1] => 0111111 => 0

[[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => [4,8,7,6,5,3,2,1] => 0111111 => 0

[[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => [3,8,7,6,5,4,2,1] => 0111111 => 0

[[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => [2,8,7,6,5,4,3,1] => 0111111 => 0

[[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 0111111 => 0

[[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => [7,5,8,6,4,3,2,1] => 1011111 => 1

[[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => [6,5,8,7,4,3,2,1] => 1011111 => 1

[[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => [7,4,8,6,5,3,2,1] => 1011111 => 1

[[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => [6,4,8,7,5,3,2,1] => 1011111 => 1

[[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => [7,3,8,6,5,4,2,1] => 1011111 => 1

[[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => [6,3,8,7,5,4,2,1] => 1011111 => 1

[[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => [5,3,8,7,6,4,2,1] => 1011111 => 1

[[1,2,3,4,7,8],[5,6]] => [5,6,1,2,3,4,7,8] => [4,3,8,7,6,5,2,1] => 1011111 => 1

[[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => [7,2,8,6,5,4,3,1] => 1011111 => 1

[[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => [6,2,8,7,5,4,3,1] => 1011111 => 1

[[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => [5,2,8,7,6,4,3,1] => 1011111 => 1

[[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => [4,2,8,7,6,5,3,1] => 1011111 => 1

[[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => [3,2,8,7,6,5,4,1] => 1011111 => 1

[[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => [7,1,8,6,5,4,3,2] => 1011111 => 1

[[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => [6,1,8,7,5,4,3,2] => 1011111 => 1

[[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => [5,1,8,7,6,4,3,2] => 1011111 => 1

[[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => [4,1,8,7,6,5,3,2] => 1011111 => 1

[[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => [3,1,8,7,6,5,4,2] => 1011111 => 1

[[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => [2,1,8,7,6,5,4,3] => 1011111 => 1

[[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => [6,7,8,5,4,3,2,1] => 0011111 => 0

[[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => [5,7,8,6,4,3,2,1] => 0011111 => 0

[[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => [5,6,8,7,4,3,2,1] => 0011111 => 0

[[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => [4,7,8,6,5,3,2,1] => 0011111 => 0

[[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => [4,6,8,7,5,3,2,1] => 0011111 => 0

[[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => [4,5,8,7,6,3,2,1] => 0011111 => 0

[[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => [3,7,8,6,5,4,2,1] => 0011111 => 0

[[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => [3,6,8,7,5,4,2,1] => 0011111 => 0

[[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => [3,5,8,7,6,4,2,1] => 0011111 => 0

[[1,2,3,4,7,8],[5],[6]] => [6,5,1,2,3,4,7,8] => [3,4,8,7,6,5,2,1] => 0011111 => 0

[[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => [2,7,8,6,5,4,3,1] => 0011111 => 0

[[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => [2,6,8,7,5,4,3,1] => 0011111 => 0

[[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => [2,5,8,7,6,4,3,1] => 0011111 => 0

[[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => [2,4,8,7,6,5,3,1] => 0011111 => 0

[[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => [2,3,8,7,6,5,4,1] => 0011111 => 0

[[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => [1,7,8,6,5,4,3,2] => 0011111 => 0

[[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => [1,6,8,7,5,4,3,2] => 0011111 => 0

[[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => [1,5,8,7,6,4,3,2] => 0011111 => 0

[[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => [1,4,8,7,6,5,3,2] => 0011111 => 0

[[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => [1,3,8,7,6,5,4,2] => 0011111 => 0

[[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => [1,2,8,7,6,5,4,3] => 0011111 => 0

[[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => [7,5,3,8,6,4,2,1] => 1101111 => 2

[[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => [5,4,3,8,7,6,2,1] => 1101111 => 2

[[1,3,5,6,8],[2,4,7]] => [2,4,7,1,3,5,6,8] => [7,5,2,8,6,4,3,1] => 1101111 => 2

[[1,2,5,6,8],[3,4,7]] => [3,4,7,1,2,5,6,8] => [6,5,2,8,7,4,3,1] => 1101111 => 2

[[1,3,4,6,8],[2,5,7]] => [2,5,7,1,3,4,6,8] => [7,4,2,8,6,5,3,1] => 1101111 => 2

[[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => [6,4,2,8,7,5,3,1] => 1101111 => 2

[[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => [7,3,2,8,6,5,4,1] => 1101111 => 2

[[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => [6,3,2,8,7,5,4,1] => 1101111 => 2

[[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => [5,3,2,8,7,6,4,1] => 1101111 => 2

[[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => [4,3,2,8,7,6,5,1] => 1101111 => 2

[[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => [7,5,1,8,6,4,3,2] => 1101111 => 2

[[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => [6,5,1,8,7,4,3,2] => 1101111 => 2

[[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => [7,4,1,8,6,5,3,2] => 1101111 => 2

[[1,2,4,6,7],[3,5,8]] => [3,5,8,1,2,4,6,7] => [6,4,1,8,7,5,3,2] => 1101111 => 2

[[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => [5,4,1,8,7,6,3,2] => 1101111 => 2

[[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => [7,3,1,8,6,5,4,2] => 1101111 => 2

[[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => [6,3,1,8,7,5,4,2] => 1101111 => 2

[[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => [5,3,1,8,7,6,4,2] => 1101111 => 2

[[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => [4,3,1,8,7,6,5,2] => 1101111 => 2

[[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => [7,2,1,8,6,5,4,3] => 1101111 => 2

[[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => [6,2,1,8,7,5,4,3] => 1101111 => 2

[[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => [5,2,1,8,7,6,4,3] => 1101111 => 2

[[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => [4,2,1,8,7,6,5,3] => 1101111 => 2

[[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => [3,2,1,8,7,6,5,4] => 1101111 => 2

[[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => [6,7,4,8,5,3,2,1] => 0101111 => 1

[[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => [5,7,4,8,6,3,2,1] => 0101111 => 1

[[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => [5,6,4,8,7,3,2,1] => 0101111 => 1

[[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => [4,7,5,8,6,3,2,1] => 0101111 => 1

[[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => [4,6,5,8,7,3,2,1] => 0101111 => 1

[[1,3,4,7,8],[2,6],[5]] => [5,2,6,1,3,4,7,8] => [4,7,3,8,6,5,2,1] => 0101111 => 1

[[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => [4,6,3,8,7,5,2,1] => 0101111 => 1

[[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => [3,6,4,8,7,5,2,1] => 0101111 => 1

[[1,3,5,6,8],[2,7],[4]] => [4,2,7,1,3,5,6,8] => [5,7,2,8,6,4,3,1] => 0101111 => 1

[[1,2,5,6,8],[3,7],[4]] => [4,3,7,1,2,5,6,8] => [5,6,2,8,7,4,3,1] => 0101111 => 1

[[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => [4,6,2,8,7,5,3,1] => 0101111 => 1

[[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => [3,7,2,8,6,5,4,1] => 0101111 => 1

[[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => [3,6,2,8,7,5,4,1] => 0101111 => 1

[[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => [3,5,2,8,7,6,4,1] => 0101111 => 1

[[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => [3,4,2,8,7,6,5,1] => 0101111 => 1

[[1,3,4,6,8],[2,5],[7]] => [7,2,5,1,3,4,6,8] => [2,7,4,8,6,5,3,1] => 0101111 => 1

[[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => [2,6,4,8,7,5,3,1] => 0101111 => 1

[[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => [2,5,4,8,7,6,3,1] => 0101111 => 1

[[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => [2,6,3,8,7,5,4,1] => 0101111 => 1

[[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => [2,4,3,8,7,6,5,1] => 0101111 => 1

[[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => [6,7,1,8,5,4,3,2] => 0101111 => 1

[[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => [4,7,1,8,6,5,3,2] => 0101111 => 1

[[1,2,4,6,7],[3,8],[5]] => [5,3,8,1,2,4,6,7] => [4,6,1,8,7,5,3,2] => 0101111 => 1

[[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => [4,5,1,8,7,6,3,2] => 0101111 => 1

[[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => [3,7,1,8,6,5,4,2] => 0101111 => 1

[[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => [3,6,1,8,7,5,4,2] => 0101111 => 1

[[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => [3,4,1,8,7,6,5,2] => 0101111 => 1

[[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => [2,7,1,8,6,5,4,3] => 0101111 => 1

[[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => [2,4,1,8,7,6,5,3] => 0101111 => 1

[[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => [2,3,1,8,7,6,5,4] => 0101111 => 1

[[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => [1,7,5,8,6,4,3,2] => 0101111 => 1

[[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => [1,6,5,8,7,4,3,2] => 0101111 => 1

[[1,3,4,6,7],[2,5],[8]] => [8,2,5,1,3,4,6,7] => [1,7,4,8,6,5,3,2] => 0101111 => 1

[[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => [1,6,4,8,7,5,3,2] => 0101111 => 1

[[1,2,3,5,7],[4,6],[8]] => [8,4,6,1,2,3,5,7] => [1,5,3,8,7,6,4,2] => 0101111 => 1

[[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => [1,4,3,8,7,6,5,2] => 0101111 => 1

[[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => [1,6,2,8,7,5,4,3] => 0101111 => 1

[[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => [1,4,2,8,7,6,5,3] => 0101111 => 1

[[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => [1,3,2,8,7,6,5,4] => 0101111 => 1

[[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => [5,6,7,8,4,3,2,1] => 0001111 => 0

[[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => [4,6,7,8,5,3,2,1] => 0001111 => 0

[[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => [4,5,7,8,6,3,2,1] => 0001111 => 0

[[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => [4,5,6,8,7,3,2,1] => 0001111 => 0

[[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => [3,5,7,8,6,4,2,1] => 0001111 => 0

[[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => [3,5,6,8,7,4,2,1] => 0001111 => 0

[[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => [3,4,5,8,7,6,2,1] => 0001111 => 0

[[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => [2,6,7,8,5,4,3,1] => 0001111 => 0

[[1,3,4,6,8],[2],[5],[7]] => [7,5,2,1,3,4,6,8] => [2,4,7,8,6,5,3,1] => 0001111 => 0

[[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => [2,4,6,8,7,5,3,1] => 0001111 => 0

[[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => [2,3,4,8,7,6,5,1] => 0001111 => 0

[[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => [1,6,7,8,5,4,3,2] => 0001111 => 0

[[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => [1,4,7,8,6,5,3,2] => 0001111 => 0

[[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => [1,4,6,8,7,5,3,2] => 0001111 => 0

[[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => [1,4,5,8,7,6,3,2] => 0001111 => 0

[[1,3,4,5,7],[2],[6],[8]] => [8,6,2,1,3,4,5,7] => [1,3,7,8,6,5,4,2] => 0001111 => 0

[[1,2,4,5,7],[3],[6],[8]] => [8,6,3,1,2,4,5,7] => [1,3,6,8,7,5,4,2] => 0001111 => 0

[[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => [1,3,5,8,7,6,4,2] => 0001111 => 0

[[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => [1,3,4,8,7,6,5,2] => 0001111 => 0

[[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => [1,2,7,8,6,5,4,3] => 0001111 => 0

[[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => [1,2,5,8,7,6,4,3] => 0001111 => 0

[[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => [1,2,4,8,7,6,5,3] => 0001111 => 0

[[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => [1,2,3,8,7,6,5,4] => 0001111 => 0

[[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => [7,5,3,1,8,6,4,2] => 1110111 => 3

[[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => [6,5,3,1,8,7,4,2] => 1110111 => 3

[[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => [7,4,3,1,8,6,5,2] => 1110111 => 3

[[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => [6,4,3,1,8,7,5,2] => 1110111 => 3

[[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => [5,4,3,1,8,7,6,2] => 1110111 => 3

[[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => [7,5,2,1,8,6,4,3] => 1110111 => 3

[[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => [6,5,2,1,8,7,4,3] => 1110111 => 3

[[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => [7,4,2,1,8,6,5,3] => 1110111 => 3

[[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => [6,4,2,1,8,7,5,3] => 1110111 => 3

[[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => [5,4,2,1,8,7,6,3] => 1110111 => 3

[[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => [7,3,2,1,8,6,5,4] => 1110111 => 3

[[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => [6,3,2,1,8,7,5,4] => 1110111 => 3

[[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => [5,3,2,1,8,7,6,4] => 1110111 => 3

[[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => 1110111 => 3

[[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => [6,7,4,2,8,5,3,1] => 0110111 => 2

[[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => [4,7,5,2,8,6,3,1] => 0110111 => 2

[[1,2,6,8],[3,4,7],[5]] => [5,3,4,7,1,2,6,8] => [4,6,5,2,8,7,3,1] => 0110111 => 2

[[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => [5,7,3,2,8,6,4,1] => 0110111 => 2

[[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => [4,7,3,2,8,6,5,1] => 0110111 => 2

[[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => [3,7,4,2,8,6,5,1] => 0110111 => 2

[[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => [3,6,4,2,8,7,5,1] => 0110111 => 2

[[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => [2,7,5,3,8,6,4,1] => 0110111 => 2

[[1,2,4,8],[3,5,6],[7]] => [7,3,5,6,1,2,4,8] => [2,6,4,3,8,7,5,1] => 0110111 => 2

[[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => [2,5,4,3,8,7,6,1] => 0110111 => 2

[[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => [6,7,4,1,8,5,3,2] => 0110111 => 2

[[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => [5,7,4,1,8,6,3,2] => 0110111 => 2

[[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => [5,6,4,1,8,7,3,2] => 0110111 => 2

[[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => [4,7,5,1,8,6,3,2] => 0110111 => 2

[[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => [6,7,3,1,8,5,4,2] => 0110111 => 2

[[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => [5,7,3,1,8,6,4,2] => 0110111 => 2

[[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => [5,6,3,1,8,7,4,2] => 0110111 => 2

[[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => [4,7,3,1,8,6,5,2] => 0110111 => 2

[[1,2,4,7],[3,6,8],[5]] => [5,3,6,8,1,2,4,7] => [4,6,3,1,8,7,5,2] => 0110111 => 2

[[1,2,3,7],[4,6,8],[5]] => [5,4,6,8,1,2,3,7] => [4,5,3,1,8,7,6,2] => 0110111 => 2

[[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => [3,7,5,1,8,6,4,2] => 0110111 => 2

[[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => [3,6,5,1,8,7,4,2] => 0110111 => 2

[[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => [3,7,4,1,8,6,5,2] => 0110111 => 2

[[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => [3,6,4,1,8,7,5,2] => 0110111 => 2

[[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => [6,7,2,1,8,5,4,3] => 0110111 => 2

[[1,3,4,6],[2,7,8],[5]] => [5,2,7,8,1,3,4,6] => [4,7,2,1,8,6,5,3] => 0110111 => 2

[[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => [4,6,2,1,8,7,5,3] => 0110111 => 2

[[1,2,3,6],[4,7,8],[5]] => [5,4,7,8,1,2,3,6] => [4,5,2,1,8,7,6,3] => 0110111 => 2

[[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => [3,5,2,1,8,7,6,4] => 0110111 => 2

[[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => [3,4,2,1,8,7,6,5] => 0110111 => 2

[[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => [2,6,5,1,8,7,4,3] => 0110111 => 2

[[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => [2,6,4,1,8,7,5,3] => 0110111 => 2

[[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => [2,5,4,1,8,7,6,3] => 0110111 => 2

[[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => [2,4,3,1,8,7,6,5] => 0110111 => 2

[[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => [1,7,5,3,8,6,4,2] => 0110111 => 2

[[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => [1,6,4,3,8,7,5,2] => 0110111 => 2

[[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => [1,5,4,3,8,7,6,2] => 0110111 => 2

[[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => [1,7,5,2,8,6,4,3] => 0110111 => 2

[[1,2,5,6],[3,4,7],[8]] => [8,3,4,7,1,2,5,6] => [1,6,5,2,8,7,4,3] => 0110111 => 2

[[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => [1,7,4,2,8,6,5,3] => 0110111 => 2

[[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => [1,6,4,2,8,7,5,3] => 0110111 => 2

[[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => [1,7,3,2,8,6,5,4] => 0110111 => 2

[[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => [1,5,3,2,8,7,6,4] => 0110111 => 2

[[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => [1,4,3,2,8,7,6,5] => 0110111 => 2

[[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => [6,3,7,4,8,5,2,1] => 1010111 => 3

[[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => [5,3,7,4,8,6,2,1] => 1010111 => 3

[[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => [5,3,6,4,8,7,2,1] => 1010111 => 3

[[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => [4,3,6,5,8,7,2,1] => 1010111 => 3

[[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => [6,2,7,4,8,5,3,1] => 1010111 => 3

[[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => [5,2,6,4,8,7,3,1] => 1010111 => 3

[[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => [4,2,7,5,8,6,3,1] => 1010111 => 3

[[1,2,6,8],[3,4],[5,7]] => [5,7,3,4,1,2,6,8] => [4,2,6,5,8,7,3,1] => 1010111 => 3

[[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => [6,2,7,3,8,5,4,1] => 1010111 => 3

[[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => [5,2,6,3,8,7,4,1] => 1010111 => 3

[[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => [4,2,6,3,8,7,5,1] => 1010111 => 3

[[1,2,3,8],[4,6],[5,7]] => [5,7,4,6,1,2,3,8] => [4,2,5,3,8,7,6,1] => 1010111 => 3

[[1,3,5,8],[2,4],[6,7]] => [6,7,2,4,1,3,5,8] => [3,2,7,5,8,6,4,1] => 1010111 => 3

[[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => [3,2,6,5,8,7,4,1] => 1010111 => 3

[[1,2,4,8],[3,5],[6,7]] => [6,7,3,5,1,2,4,8] => [3,2,6,4,8,7,5,1] => 1010111 => 3

[[1,4,6,7],[2,5],[3,8]] => [3,8,2,5,1,4,6,7] => [6,1,7,4,8,5,3,2] => 1010111 => 3

[[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => [5,1,7,4,8,6,3,2] => 1010111 => 3

[[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => [4,1,7,5,8,6,3,2] => 1010111 => 3

[[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => [4,1,6,5,8,7,3,2] => 1010111 => 3

[[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => [6,1,7,3,8,5,4,2] => 1010111 => 3

[[1,3,5,7],[2,6],[4,8]] => [4,8,2,6,1,3,5,7] => [5,1,7,3,8,6,4,2] => 1010111 => 3

[[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => [4,1,6,3,8,7,5,2] => 1010111 => 3

[[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => [4,1,5,3,8,7,6,2] => 1010111 => 3

[[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => [3,1,7,5,8,6,4,2] => 1010111 => 3

[[1,2,5,7],[3,4],[6,8]] => [6,8,3,4,1,2,5,7] => [3,1,6,5,8,7,4,2] => 1010111 => 3

[[1,3,4,7],[2,5],[6,8]] => [6,8,2,5,1,3,4,7] => [3,1,7,4,8,6,5,2] => 1010111 => 3

[[1,2,3,7],[4,5],[6,8]] => [6,8,4,5,1,2,3,7] => [3,1,5,4,8,7,6,2] => 1010111 => 3

[[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => [6,1,7,2,8,5,4,3] => 1010111 => 3

[[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => [5,1,7,2,8,6,4,3] => 1010111 => 3

[[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => [5,1,6,2,8,7,4,3] => 1010111 => 3

[[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => [4,1,7,2,8,6,5,3] => 1010111 => 3

[[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => [4,1,6,2,8,7,5,3] => 1010111 => 3

[[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => [4,1,5,2,8,7,6,3] => 1010111 => 3

[[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => [3,1,6,2,8,7,5,4] => 1010111 => 3

[[1,2,3,5],[4,7],[6,8]] => [6,8,4,7,1,2,3,5] => [3,1,5,2,8,7,6,4] => 1010111 => 3

[[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => [3,1,4,2,8,7,6,5] => 1010111 => 3

[[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => [2,1,7,5,8,6,4,3] => 1010111 => 3

[[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => [2,1,6,5,8,7,4,3] => 1010111 => 3

[[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => [2,1,6,4,8,7,5,3] => 1010111 => 3

[[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => [2,1,5,4,8,7,6,3] => 1010111 => 3

[[1,3,4,5],[2,6],[7,8]] => [7,8,2,6,1,3,4,5] => [2,1,7,3,8,6,5,4] => 1010111 => 3

[[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => [2,1,5,3,8,7,6,4] => 1010111 => 3

[[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => [2,1,4,3,8,7,6,5] => 1010111 => 3

[[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => [5,6,7,3,8,4,2,1] => 0010111 => 1

[[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => [4,6,7,3,8,5,2,1] => 0010111 => 1

[[1,3,7,8],[2,6],[4],[5]] => [5,4,2,6,1,3,7,8] => [4,5,7,3,8,6,2,1] => 0010111 => 1

[[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => [4,5,6,3,8,7,2,1] => 0010111 => 1

[[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => [3,6,7,4,8,5,2,1] => 0010111 => 1

[[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => [3,5,7,4,8,6,2,1] => 0010111 => 1

[[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => [3,4,7,5,8,6,2,1] => 0010111 => 1

[[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => [5,6,7,2,8,4,3,1] => 0010111 => 1

[[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => [4,6,7,2,8,5,3,1] => 0010111 => 1

[[1,3,6,8],[2,7],[4],[5]] => [5,4,2,7,1,3,6,8] => [4,5,7,2,8,6,3,1] => 0010111 => 1

[[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => [4,5,6,2,8,7,3,1] => 0010111 => 1

[[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => [3,6,7,2,8,5,4,1] => 0010111 => 1

[[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => [3,5,7,2,8,6,4,1] => 0010111 => 1

[[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => [3,5,6,2,8,7,4,1] => 0010111 => 1

[[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => [3,4,6,2,8,7,5,1] => 0010111 => 1

[[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => [2,6,7,4,8,5,3,1] => 0010111 => 1

[[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => [2,5,7,4,8,6,3,1] => 0010111 => 1

[[1,2,6,8],[3,5],[4],[7]] => [7,4,3,5,1,2,6,8] => [2,5,6,4,8,7,3,1] => 0010111 => 1

[[1,2,6,8],[3,4],[5],[7]] => [7,5,3,4,1,2,6,8] => [2,4,6,5,8,7,3,1] => 0010111 => 1

[[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => [2,6,7,3,8,5,4,1] => 0010111 => 1

[[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => [2,5,7,3,8,6,4,1] => 0010111 => 1

[[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => [2,4,7,3,8,6,5,1] => 0010111 => 1

[[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => [2,4,6,3,8,7,5,1] => 0010111 => 1

[[1,2,3,8],[4,6],[5],[7]] => [7,5,4,6,1,2,3,8] => [2,4,5,3,8,7,6,1] => 0010111 => 1

[[1,2,5,8],[3,4],[6],[7]] => [7,6,3,4,1,2,5,8] => [2,3,6,5,8,7,4,1] => 0010111 => 1

[[1,2,3,8],[4,5],[6],[7]] => [7,6,4,5,1,2,3,8] => [2,3,5,4,8,7,6,1] => 0010111 => 1

[[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => [5,6,7,1,8,4,3,2] => 0010111 => 1

[[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => [4,6,7,1,8,5,3,2] => 0010111 => 1

[[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => [4,5,6,1,8,7,3,2] => 0010111 => 1

[[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => [3,6,7,1,8,5,4,2] => 0010111 => 1

[[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => [3,5,7,1,8,6,4,2] => 0010111 => 1

[[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => [3,5,6,1,8,7,4,2] => 0010111 => 1

[[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => [3,4,7,1,8,6,5,2] => 0010111 => 1

[[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => [3,4,6,1,8,7,5,2] => 0010111 => 1

[[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => [3,4,5,1,8,7,6,2] => 0010111 => 1

[[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => [2,5,7,1,8,6,4,3] => 0010111 => 1

[[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => [2,5,6,1,8,7,4,3] => 0010111 => 1

[[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => [2,4,6,1,8,7,5,3] => 0010111 => 1

[[1,2,4,5],[3,8],[6],[7]] => [7,6,3,8,1,2,4,5] => [2,3,6,1,8,7,5,4] => 0010111 => 1

[[1,2,3,5],[4,8],[6],[7]] => [7,6,4,8,1,2,3,5] => [2,3,5,1,8,7,6,4] => 0010111 => 1

[[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => [2,3,4,1,8,7,6,5] => 0010111 => 1

[[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => [1,6,7,4,8,5,3,2] => 0010111 => 1

[[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => [1,5,7,4,8,6,3,2] => 0010111 => 1

[[1,3,6,7],[2,4],[5],[8]] => [8,5,2,4,1,3,6,7] => [1,4,7,5,8,6,3,2] => 0010111 => 1

[[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => [1,4,6,5,8,7,3,2] => 0010111 => 1

[[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => [1,6,7,3,8,5,4,2] => 0010111 => 1

[[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => [1,5,7,3,8,6,4,2] => 0010111 => 1

[[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => [1,4,6,3,8,7,5,2] => 0010111 => 1

[[1,2,3,7],[4,6],[5],[8]] => [8,5,4,6,1,2,3,7] => [1,4,5,3,8,7,6,2] => 0010111 => 1

[[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => [1,3,7,5,8,6,4,2] => 0010111 => 1

[[1,2,4,7],[3,5],[6],[8]] => [8,6,3,5,1,2,4,7] => [1,3,6,4,8,7,5,2] => 0010111 => 1

[[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => [1,3,5,4,8,7,6,2] => 0010111 => 1

[[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => [1,6,7,2,8,5,4,3] => 0010111 => 1

[[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => [1,5,7,2,8,6,4,3] => 0010111 => 1

[[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => [1,4,6,2,8,7,5,3] => 0010111 => 1

[[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => [1,4,5,2,8,7,6,3] => 0010111 => 1

[[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => [1,3,4,2,8,7,6,5] => 0010111 => 1

[[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => [1,2,7,5,8,6,4,3] => 0010111 => 1

[[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => [1,2,6,5,8,7,4,3] => 0010111 => 1

[[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => [1,2,7,4,8,6,5,3] => 0010111 => 1

[[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => [1,2,6,4,8,7,5,3] => 0010111 => 1

[[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => [1,2,5,4,8,7,6,3] => 0010111 => 1

[[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => [1,2,7,3,8,6,5,4] => 0010111 => 1

[[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => [1,2,6,3,8,7,5,4] => 0010111 => 1

[[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => [1,2,5,3,8,7,6,4] => 0010111 => 1

[[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => [1,2,4,3,8,7,6,5] => 0010111 => 1

[[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => [4,5,6,7,8,3,2,1] => 0000111 => 0

[[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => [3,5,6,7,8,4,2,1] => 0000111 => 0

[[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => [3,4,6,7,8,5,2,1] => 0000111 => 0

[[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => [3,4,5,7,8,6,2,1] => 0000111 => 0

[[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => [3,4,5,6,8,7,2,1] => 0000111 => 0

[[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => [2,5,6,7,8,4,3,1] => 0000111 => 0

[[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => [2,4,6,7,8,5,3,1] => 0000111 => 0

[[1,3,6,8],[2],[4],[5],[7]] => [7,5,4,2,1,3,6,8] => [2,4,5,7,8,6,3,1] => 0000111 => 0

[[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => [2,3,6,7,8,5,4,1] => 0000111 => 0

[[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => [2,3,5,7,8,6,4,1] => 0000111 => 0

[[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => [2,3,5,6,8,7,4,1] => 0000111 => 0

[[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => [2,3,4,7,8,6,5,1] => 0000111 => 0

[[1,2,4,8],[3],[5],[6],[7]] => [7,6,5,3,1,2,4,8] => [2,3,4,6,8,7,5,1] => 0000111 => 0

[[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => [2,3,4,5,8,7,6,1] => 0000111 => 0

[[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => [1,5,6,7,8,4,3,2] => 0000111 => 0

[[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => [1,4,6,7,8,5,3,2] => 0000111 => 0

[[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => [1,4,5,7,8,6,3,2] => 0000111 => 0

[[1,4,5,7],[2],[3],[6],[8]] => [8,6,3,2,1,4,5,7] => [1,3,6,7,8,5,4,2] => 0000111 => 0

[[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => [1,3,5,7,8,6,4,2] => 0000111 => 0

[[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => [1,3,5,6,8,7,4,2] => 0000111 => 0

[[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => [1,3,4,5,8,7,6,2] => 0000111 => 0

[[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => [1,2,6,7,8,5,4,3] => 0000111 => 0

[[1,2,5,6],[3],[4],[7],[8]] => [8,7,4,3,1,2,5,6] => [1,2,5,6,8,7,4,3] => 0000111 => 0

[[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => [1,2,4,7,8,6,5,3] => 0000111 => 0

[[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => [1,2,4,6,8,7,5,3] => 0000111 => 0

[[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => [1,2,4,5,8,7,6,3] => 0000111 => 0

[[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => [1,2,3,7,8,6,5,4] => 0000111 => 0

[[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => [1,2,3,6,8,7,5,4] => 0000111 => 0

[[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => [1,2,3,5,8,7,6,4] => 0000111 => 0

[[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => [1,2,3,4,8,7,6,5] => 0000111 => 0

[[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => [6,3,7,4,1,8,5,2] => 1011011 => 4

[[1,3,7],[2,5,8],[4,6]] => [4,6,2,5,8,1,3,7] => [5,3,7,4,1,8,6,2] => 1011011 => 4

[[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => [4,3,7,5,1,8,6,2] => 1011011 => 4

[[1,2,7],[3,4,8],[5,6]] => [5,6,3,4,8,1,2,7] => [4,3,6,5,1,8,7,2] => 1011011 => 4

[[1,4,6],[2,5,8],[3,7]] => [3,7,2,5,8,1,4,6] => [6,2,7,4,1,8,5,3] => 1011011 => 4

[[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => [5,2,7,4,1,8,6,3] => 1011011 => 4

[[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => [5,2,6,4,1,8,7,3] => 1011011 => 4

[[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => [4,2,7,5,1,8,6,3] => 1011011 => 4

[[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => [4,2,6,5,1,8,7,3] => 1011011 => 4

[[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => [6,2,7,3,1,8,5,4] => 1011011 => 4

[[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => [5,2,6,3,1,8,7,4] => 1011011 => 4

[[1,2,4],[3,6,8],[5,7]] => [5,7,3,6,8,1,2,4] => [4,2,6,3,1,8,7,5] => 1011011 => 4

[[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => [4,2,5,3,1,8,7,6] => 1011011 => 4

[[1,3,5],[2,4,8],[6,7]] => [6,7,2,4,8,1,3,5] => [3,2,7,5,1,8,6,4] => 1011011 => 4

[[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => [3,2,6,5,1,8,7,4] => 1011011 => 4

[[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => [3,2,6,4,1,8,7,5] => 1011011 => 4

[[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => [3,2,5,4,1,8,7,6] => 1011011 => 4

[[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => [6,1,7,4,2,8,5,3] => 1011011 => 4

[[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => [5,1,7,4,2,8,6,3] => 1011011 => 4

[[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => [5,1,6,4,2,8,7,3] => 1011011 => 4

[[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => [4,1,7,5,2,8,6,3] => 1011011 => 4

[[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => [6,1,7,3,2,8,5,4] => 1011011 => 4

[[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => [5,1,6,3,2,8,7,4] => 1011011 => 4

[[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => [4,1,7,3,2,8,6,5] => 1011011 => 4

[[1,2,3],[4,6,7],[5,8]] => [5,8,4,6,7,1,2,3] => [4,1,5,3,2,8,7,6] => 1011011 => 4

[[1,2,5],[3,4,7],[6,8]] => [6,8,3,4,7,1,2,5] => [3,1,6,5,2,8,7,4] => 1011011 => 4

[[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => [3,1,7,4,2,8,6,5] => 1011011 => 4

[[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => [2,1,7,5,3,8,6,4] => 1011011 => 4

[[1,2,5],[3,4,6],[7,8]] => [7,8,3,4,6,1,2,5] => [2,1,6,5,3,8,7,4] => 1011011 => 4

[[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => [2,1,6,4,3,8,7,5] => 1011011 => 4

[[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => [2,1,5,4,3,8,7,6] => 1011011 => 4

[[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => [5,6,7,3,1,8,4,2] => 0011011 => 2

[[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => [4,6,7,3,1,8,5,2] => 0011011 => 2

[[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => [4,5,7,3,1,8,6,2] => 0011011 => 2

[[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => [4,5,6,3,1,8,7,2] => 0011011 => 2

[[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => [3,6,7,4,1,8,5,2] => 0011011 => 2

[[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => [3,5,6,4,1,8,7,2] => 0011011 => 2

[[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => [3,4,7,5,1,8,6,2] => 0011011 => 2

[[1,2,7],[3,4,8],[5],[6]] => [6,5,3,4,8,1,2,7] => [3,4,6,5,1,8,7,2] => 0011011 => 2

[[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => [5,6,7,2,1,8,4,3] => 0011011 => 2

[[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => [4,6,7,2,1,8,5,3] => 0011011 => 2

[[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => [4,5,7,2,1,8,6,3] => 0011011 => 2

[[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => [4,5,6,2,1,8,7,3] => 0011011 => 2

[[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => [3,6,7,2,1,8,5,4] => 0011011 => 2

[[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => [3,5,7,2,1,8,6,4] => 0011011 => 2

[[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => [3,5,6,2,1,8,7,4] => 0011011 => 2

[[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => [3,4,7,2,1,8,6,5] => 0011011 => 2

[[1,2,4],[3,7,8],[5],[6]] => [6,5,3,7,8,1,2,4] => [3,4,6,2,1,8,7,5] => 0011011 => 2

[[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => [3,4,5,2,1,8,7,6] => 0011011 => 2

[[1,4,6],[2,5,8],[3],[7]] => [7,3,2,5,8,1,4,6] => [2,6,7,4,1,8,5,3] => 0011011 => 2

[[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => [2,5,7,4,1,8,6,3] => 0011011 => 2

[[1,3,6],[2,4,8],[5],[7]] => [7,5,2,4,8,1,3,6] => [2,4,7,5,1,8,6,3] => 0011011 => 2

[[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => [2,4,6,5,1,8,7,3] => 0011011 => 2

[[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => [2,6,7,3,1,8,5,4] => 0011011 => 2

[[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => [2,4,7,3,1,8,6,5] => 0011011 => 2

[[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => [2,4,6,3,1,8,7,5] => 0011011 => 2

[[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => [2,4,5,3,1,8,7,6] => 0011011 => 2

[[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => [2,3,7,5,1,8,6,4] => 0011011 => 2

[[1,2,5],[3,4,8],[6],[7]] => [7,6,3,4,8,1,2,5] => [2,3,6,5,1,8,7,4] => 0011011 => 2

[[1,3,4],[2,5,8],[6],[7]] => [7,6,2,5,8,1,3,4] => [2,3,7,4,1,8,6,5] => 0011011 => 2

[[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => [2,3,6,4,1,8,7,5] => 0011011 => 2

[[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => [2,3,5,4,1,8,7,6] => 0011011 => 2

[[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => [1,6,7,4,2,8,5,3] => 0011011 => 2

[[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => [1,5,7,4,2,8,6,3] => 0011011 => 2

[[1,2,6],[3,5,7],[4],[8]] => [8,4,3,5,7,1,2,6] => [1,5,6,4,2,8,7,3] => 0011011 => 2

[[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => [1,4,7,5,2,8,6,3] => 0011011 => 2

[[1,2,6],[3,4,7],[5],[8]] => [8,5,3,4,7,1,2,6] => [1,4,6,5,2,8,7,3] => 0011011 => 2

[[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => [1,6,7,3,2,8,5,4] => 0011011 => 2

[[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => [1,5,7,3,2,8,6,4] => 0011011 => 2

[[1,2,5],[3,6,7],[4],[8]] => [8,4,3,6,7,1,2,5] => [1,5,6,3,2,8,7,4] => 0011011 => 2

[[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => [1,4,7,3,2,8,6,5] => 0011011 => 2

[[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => [1,4,6,3,2,8,7,5] => 0011011 => 2

[[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => [1,4,5,3,2,8,7,6] => 0011011 => 2

[[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => [1,3,7,5,2,8,6,4] => 0011011 => 2

[[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => [1,2,7,5,3,8,6,4] => 0011011 => 2

[[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => [1,2,6,5,3,8,7,4] => 0011011 => 2

[[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => [1,2,7,4,3,8,6,5] => 0011011 => 2

[[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => [1,2,5,4,3,8,7,6] => 0011011 => 2

[[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => [5,6,2,7,3,8,4,1] => 0101011 => 3

[[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => [4,6,2,7,3,8,5,1] => 0101011 => 3

[[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => [4,5,2,7,3,8,6,1] => 0101011 => 3

[[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => [3,6,2,7,4,8,5,1] => 0101011 => 3

[[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => [3,5,2,7,4,8,6,1] => 0101011 => 3

[[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => [3,5,2,6,4,8,7,1] => 0101011 => 3

[[1,3,8],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3,8] => [3,4,2,7,5,8,6,1] => 0101011 => 3

[[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => [2,6,3,7,4,8,5,1] => 0101011 => 3

[[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => [2,4,3,6,5,8,7,1] => 0101011 => 3

[[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => [5,6,1,7,3,8,4,2] => 0101011 => 3

[[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => [4,6,1,7,3,8,5,2] => 0101011 => 3

[[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => [4,5,1,7,3,8,6,2] => 0101011 => 3

[[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => [3,5,1,7,4,8,6,2] => 0101011 => 3

[[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => [3,4,1,7,5,8,6,2] => 0101011 => 3

[[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => [3,4,1,6,5,8,7,2] => 0101011 => 3

[[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => [5,6,1,7,2,8,4,3] => 0101011 => 3

[[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => [4,5,1,7,2,8,6,3] => 0101011 => 3

[[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => [4,5,1,6,2,8,7,3] => 0101011 => 3

[[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => [3,5,1,7,2,8,6,4] => 0101011 => 3

[[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => [3,5,1,6,2,8,7,4] => 0101011 => 3

[[1,2,4],[3,7],[5,8],[6]] => [6,5,8,3,7,1,2,4] => [3,4,1,6,2,8,7,5] => 0101011 => 3

[[1,2,3],[4,7],[5,8],[6]] => [6,5,8,4,7,1,2,3] => [3,4,1,5,2,8,7,6] => 0101011 => 3

[[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => [2,6,1,7,4,8,5,3] => 0101011 => 3

[[1,3,6],[2,5],[4,8],[7]] => [7,4,8,2,5,1,3,6] => [2,5,1,7,4,8,6,3] => 0101011 => 3

[[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => [2,4,1,7,5,8,6,3] => 0101011 => 3

[[1,2,6],[3,4],[5,8],[7]] => [7,5,8,3,4,1,2,6] => [2,4,1,6,5,8,7,3] => 0101011 => 3

[[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => [2,5,1,7,3,8,6,4] => 0101011 => 3

[[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => [2,4,1,7,3,8,6,5] => 0101011 => 3

[[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => [2,4,1,6,3,8,7,5] => 0101011 => 3

[[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => [2,4,1,5,3,8,7,6] => 0101011 => 3

[[1,3,5],[2,4],[6,8],[7]] => [7,6,8,2,4,1,3,5] => [2,3,1,7,5,8,6,4] => 0101011 => 3

[[1,2,5],[3,4],[6,8],[7]] => [7,6,8,3,4,1,2,5] => [2,3,1,6,5,8,7,4] => 0101011 => 3

[[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => [2,3,1,7,4,8,6,5] => 0101011 => 3

[[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => [1,6,3,7,4,8,5,2] => 0101011 => 3

[[1,3,7],[2,5],[4,6],[8]] => [8,4,6,2,5,1,3,7] => [1,5,3,7,4,8,6,2] => 0101011 => 3

[[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => [1,4,3,6,5,8,7,2] => 0101011 => 3

[[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => [1,6,2,7,4,8,5,3] => 0101011 => 3

[[1,3,6],[2,5],[4,7],[8]] => [8,4,7,2,5,1,3,6] => [1,5,2,7,4,8,6,3] => 0101011 => 3

[[1,2,6],[3,5],[4,7],[8]] => [8,4,7,3,5,1,2,6] => [1,5,2,6,4,8,7,3] => 0101011 => 3

[[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => [1,4,2,7,5,8,6,3] => 0101011 => 3

[[1,2,6],[3,4],[5,7],[8]] => [8,5,7,3,4,1,2,6] => [1,4,2,6,5,8,7,3] => 0101011 => 3

[[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => [1,6,2,7,3,8,5,4] => 0101011 => 3

[[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => [1,5,2,7,3,8,6,4] => 0101011 => 3

[[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => [1,5,2,6,3,8,7,4] => 0101011 => 3

[[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => [1,4,2,7,3,8,6,5] => 0101011 => 3

[[1,2,3],[4,6],[5,7],[8]] => [8,5,7,4,6,1,2,3] => [1,4,2,5,3,8,7,6] => 0101011 => 3

[[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => [1,3,2,7,5,8,6,4] => 0101011 => 3

[[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => [1,3,2,6,5,8,7,4] => 0101011 => 3

[[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => [1,3,2,7,4,8,6,5] => 0101011 => 3

[[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => [1,3,2,6,4,8,7,5] => 0101011 => 3

[[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => [1,3,2,5,4,8,7,6] => 0101011 => 3

[[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => [4,5,6,7,2,8,3,1] => 0001011 => 1

[[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => [3,5,6,7,2,8,4,1] => 0001011 => 1

[[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => [3,4,6,7,2,8,5,1] => 0001011 => 1

[[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => [3,4,5,7,2,8,6,1] => 0001011 => 1

[[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => [3,4,5,6,2,8,7,1] => 0001011 => 1

[[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => [2,4,6,7,3,8,5,1] => 0001011 => 1

[[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => [2,4,5,7,3,8,6,1] => 0001011 => 1

[[1,2,8],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2,8] => [2,4,5,6,3,8,7,1] => 0001011 => 1

[[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => [2,3,6,7,4,8,5,1] => 0001011 => 1

[[1,3,8],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3,8] => [2,3,5,7,4,8,6,1] => 0001011 => 1

[[1,2,8],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2,8] => [2,3,5,6,4,8,7,1] => 0001011 => 1

[[1,3,8],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3,8] => [2,3,4,7,5,8,6,1] => 0001011 => 1

[[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => [2,3,4,6,5,8,7,1] => 0001011 => 1

[[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => [4,5,6,7,1,8,3,2] => 0001011 => 1

[[1,5,7],[2,8],[3],[4],[6]] => [6,4,3,2,8,1,5,7] => [3,5,6,7,1,8,4,2] => 0001011 => 1

[[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => [3,4,6,7,1,8,5,2] => 0001011 => 1

[[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => [3,4,5,7,1,8,6,2] => 0001011 => 1

[[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => [3,4,5,6,1,8,7,2] => 0001011 => 1

[[1,5,6],[2,8],[3],[4],[7]] => [7,4,3,2,8,1,5,6] => [2,5,6,7,1,8,4,3] => 0001011 => 1

[[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => [2,4,6,7,1,8,5,3] => 0001011 => 1

[[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => [2,4,5,7,1,8,6,3] => 0001011 => 1

[[1,2,6],[3,8],[4],[5],[7]] => [7,5,4,3,8,1,2,6] => [2,4,5,6,1,8,7,3] => 0001011 => 1

[[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => [2,3,6,7,1,8,5,4] => 0001011 => 1

[[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => [2,3,4,7,1,8,6,5] => 0001011 => 1

[[1,2,4],[3,8],[5],[6],[7]] => [7,6,5,3,8,1,2,4] => [2,3,4,6,1,8,7,5] => 0001011 => 1

[[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => [2,3,4,5,1,8,7,6] => 0001011 => 1

[[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => [1,4,6,7,3,8,5,2] => 0001011 => 1

[[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => [1,4,5,7,3,8,6,2] => 0001011 => 1

[[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => [1,4,5,6,3,8,7,2] => 0001011 => 1

[[1,4,7],[2,5],[3],[6],[8]] => [8,6,3,2,5,1,4,7] => [1,3,6,7,4,8,5,2] => 0001011 => 1

[[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => [1,3,5,7,4,8,6,2] => 0001011 => 1

[[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => [1,3,4,7,5,8,6,2] => 0001011 => 1

[[1,5,6],[2,7],[3],[4],[8]] => [8,4,3,2,7,1,5,6] => [1,5,6,7,2,8,4,3] => 0001011 => 1

[[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => [1,4,6,7,2,8,5,3] => 0001011 => 1

[[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => [1,3,5,7,2,8,6,4] => 0001011 => 1

[[1,2,3],[4,7],[5],[6],[8]] => [8,6,5,4,7,1,2,3] => [1,3,4,5,2,8,7,6] => 0001011 => 1

[[1,4,6],[2,5],[3],[7],[8]] => [8,7,3,2,5,1,4,6] => [1,2,6,7,4,8,5,3] => 0001011 => 1

[[1,3,6],[2,5],[4],[7],[8]] => [8,7,4,2,5,1,3,6] => [1,2,5,7,4,8,6,3] => 0001011 => 1

[[1,3,6],[2,4],[5],[7],[8]] => [8,7,5,2,4,1,3,6] => [1,2,4,7,5,8,6,3] => 0001011 => 1

[[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => [1,2,6,7,3,8,5,4] => 0001011 => 1

[[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => [1,2,5,7,3,8,6,4] => 0001011 => 1

[[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => [1,2,5,6,3,8,7,4] => 0001011 => 1

[[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => [1,2,4,7,3,8,6,5] => 0001011 => 1

[[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => [1,2,4,5,3,8,7,6] => 0001011 => 1

[[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => [1,2,3,7,5,8,6,4] => 0001011 => 1

[[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => [1,2,3,6,5,8,7,4] => 0001011 => 1

[[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => [1,2,3,7,4,8,6,5] => 0001011 => 1

[[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => [1,2,3,6,4,8,7,5] => 0001011 => 1

[[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => [1,2,3,5,4,8,7,6] => 0001011 => 1

[[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => [3,4,5,6,7,8,2,1] => 0000011 => 0

[[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => [2,4,5,6,7,8,3,1] => 0000011 => 0

[[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => [2,3,5,6,7,8,4,1] => 0000011 => 0

[[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => [2,3,4,6,7,8,5,1] => 0000011 => 0

[[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => [2,3,4,5,7,8,6,1] => 0000011 => 0

[[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => [2,3,4,5,6,8,7,1] => 0000011 => 0

[[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => [1,4,5,6,7,8,3,2] => 0000011 => 0

[[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => [1,3,5,6,7,8,4,2] => 0000011 => 0

[[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => [1,3,4,6,7,8,5,2] => 0000011 => 0

[[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => [1,3,4,5,7,8,6,2] => 0000011 => 0

[[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => [1,3,4,5,6,8,7,2] => 0000011 => 0

[[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => [1,2,5,6,7,8,4,3] => 0000011 => 0

[[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => [1,2,4,6,7,8,5,3] => 0000011 => 0

[[1,3,6],[2],[4],[5],[7],[8]] => [8,7,5,4,2,1,3,6] => [1,2,4,5,7,8,6,3] => 0000011 => 0

[[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => [1,2,4,5,6,8,7,3] => 0000011 => 0

[[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => [1,2,3,6,7,8,5,4] => 0000011 => 0

[[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => [1,2,3,5,7,8,6,4] => 0000011 => 0

[[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => [1,2,3,5,6,8,7,4] => 0000011 => 0

[[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => [1,2,3,4,7,8,6,5] => 0000011 => 0

[[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => [1,2,3,4,6,8,7,5] => 0000011 => 0

[[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => [1,2,3,4,5,8,7,6] => 0000011 => 0

[[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => [5,1,6,2,7,3,8,4] => 1010101 => 6

[[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => [4,1,6,2,7,3,8,5] => 1010101 => 6

[[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => [4,1,5,2,7,3,8,6] => 1010101 => 6

[[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => [4,1,5,2,6,3,8,7] => 1010101 => 6

[[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => [3,1,6,2,7,4,8,5] => 1010101 => 6

[[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => [3,1,5,2,7,4,8,6] => 1010101 => 6

[[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => [3,1,5,2,6,4,8,7] => 1010101 => 6

[[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => [3,1,4,2,7,5,8,6] => 1010101 => 6

[[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => [3,1,4,2,6,5,8,7] => 1010101 => 6

[[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => [2,1,6,3,7,4,8,5] => 1010101 => 6

[[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => [2,1,5,3,7,4,8,6] => 1010101 => 6

[[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => [2,1,5,3,6,4,8,7] => 1010101 => 6

[[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => [2,1,4,3,7,5,8,6] => 1010101 => 6

[[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => 1010101 => 6

[[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => [4,5,6,1,7,2,8,3] => 0010101 => 3

[[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => [3,5,6,1,7,2,8,4] => 0010101 => 3

[[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => [3,4,6,1,7,2,8,5] => 0010101 => 3

[[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => [3,4,5,1,6,2,8,7] => 0010101 => 3

[[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => [2,4,6,1,7,3,8,5] => 0010101 => 3

[[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => [2,4,5,1,7,3,8,6] => 0010101 => 3

[[1,2],[3,6],[4,8],[5],[7]] => [7,5,4,8,3,6,1,2] => [2,4,5,1,6,3,8,7] => 0010101 => 3

[[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => [2,3,5,1,7,4,8,6] => 0010101 => 3

[[1,2],[3,5],[4,8],[6],[7]] => [7,6,4,8,3,5,1,2] => [2,3,5,1,6,4,8,7] => 0010101 => 3

[[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => [2,3,4,1,7,5,8,6] => 0010101 => 3

[[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => [2,3,4,1,6,5,8,7] => 0010101 => 3

[[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => [1,4,6,2,7,3,8,5] => 0010101 => 3

[[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => [1,4,5,2,7,3,8,6] => 0010101 => 3

[[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => [1,4,5,2,6,3,8,7] => 0010101 => 3

[[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => [1,3,6,2,7,4,8,5] => 0010101 => 3

[[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => [1,3,5,2,7,4,8,6] => 0010101 => 3

[[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => [1,3,4,2,7,5,8,6] => 0010101 => 3

[[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => [1,3,4,2,6,5,8,7] => 0010101 => 3

[[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => [1,2,6,3,7,4,8,5] => 0010101 => 3

[[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => [1,2,5,3,7,4,8,6] => 0010101 => 3

[[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => [1,2,5,3,6,4,8,7] => 0010101 => 3

[[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => [1,2,4,3,7,5,8,6] => 0010101 => 3

[[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => [1,2,4,3,6,5,8,7] => 0010101 => 3

[[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => [3,4,5,6,7,1,8,2] => 0000101 => 1

[[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => [2,4,5,6,7,1,8,3] => 0000101 => 1

[[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => [2,3,5,6,7,1,8,4] => 0000101 => 1

[[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => [2,3,4,5,7,1,8,6] => 0000101 => 1

[[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => [2,3,4,5,6,1,8,7] => 0000101 => 1

[[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => [1,4,5,6,7,2,8,3] => 0000101 => 1

[[1,5],[2,7],[3],[4],[6],[8]] => [8,6,4,3,2,7,1,5] => [1,3,5,6,7,2,8,4] => 0000101 => 1

[[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => [1,3,4,6,7,2,8,5] => 0000101 => 1

[[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => [1,3,4,5,7,2,8,6] => 0000101 => 1

[[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => [1,3,4,5,6,2,8,7] => 0000101 => 1

[[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => [1,2,5,6,7,3,8,4] => 0000101 => 1

[[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => [1,2,4,6,7,3,8,5] => 0000101 => 1

[[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => [1,2,4,5,7,3,8,6] => 0000101 => 1

[[1,2],[3,6],[4],[5],[7],[8]] => [8,7,5,4,3,6,1,2] => [1,2,4,5,6,3,8,7] => 0000101 => 1

[[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => [1,2,3,6,7,4,8,5] => 0000101 => 1

[[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => [1,2,3,5,7,4,8,6] => 0000101 => 1

[[1,2],[3,5],[4],[6],[7],[8]] => [8,7,6,4,3,5,1,2] => [1,2,3,5,6,4,8,7] => 0000101 => 1

[[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => [1,2,3,4,7,5,8,6] => 0000101 => 1

[[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => [1,2,3,4,6,5,8,7] => 0000101 => 1

[[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,8,1] => 0000001 => 0

[[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => [1,3,4,5,6,7,8,2] => 0000001 => 0

[[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => [1,2,4,5,6,7,8,3] => 0000001 => 0

[[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => [1,2,3,5,6,7,8,4] => 0000001 => 0

[[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => [1,2,3,4,6,7,8,5] => 0000001 => 0

[[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => [1,2,3,4,5,7,8,6] => 0000001 => 0

[[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,8,7] => 0000001 => 0

[[1],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => 0000000 => 0

[[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => [9,7,5,3,1,10,8,6,4,2] => 111101111 => 4

[[1,3,5,7,8],[2,4,6,9,10]] => [2,4,6,9,10,1,3,5,7,8] => [9,7,5,2,1,10,8,6,4,3] => 111101111 => 4

[[1,3,5,6,9],[2,4,7,8,10]] => [2,4,7,8,10,1,3,5,6,9] => [9,7,4,3,1,10,8,6,5,2] => 111101111 => 4

[[1,3,5,6,8],[2,4,7,9,10]] => [2,4,7,9,10,1,3,5,6,8] => [9,7,4,2,1,10,8,6,5,3] => 111101111 => 4

[[1,3,5,6,7],[2,4,8,9,10]] => [2,4,8,9,10,1,3,5,6,7] => [9,7,3,2,1,10,8,6,5,4] => 111101111 => 4

[[1,3,4,7,9],[2,5,6,8,10]] => [2,5,6,8,10,1,3,4,7,9] => [9,6,5,3,1,10,8,7,4,2] => 111101111 => 4

[[1,3,4,7,8],[2,5,6,9,10]] => [2,5,6,9,10,1,3,4,7,8] => [9,6,5,2,1,10,8,7,4,3] => 111101111 => 4

[[1,3,4,6,9],[2,5,7,8,10]] => [2,5,7,8,10,1,3,4,6,9] => [9,6,4,3,1,10,8,7,5,2] => 111101111 => 4

[[1,3,4,6,8],[2,5,7,9,10]] => [2,5,7,9,10,1,3,4,6,8] => [9,6,4,2,1,10,8,7,5,3] => 111101111 => 4

[[1,3,4,6,7],[2,5,8,9,10]] => [2,5,8,9,10,1,3,4,6,7] => [9,6,3,2,1,10,8,7,5,4] => 111101111 => 4

[[1,3,4,5,9],[2,6,7,8,10]] => [2,6,7,8,10,1,3,4,5,9] => [9,5,4,3,1,10,8,7,6,2] => 111101111 => 4

[[1,3,4,5,8],[2,6,7,9,10]] => [2,6,7,9,10,1,3,4,5,8] => [9,5,4,2,1,10,8,7,6,3] => 111101111 => 4

[[1,3,4,5,7],[2,6,8,9,10]] => [2,6,8,9,10,1,3,4,5,7] => [9,5,3,2,1,10,8,7,6,4] => 111101111 => 4

[[1,3,4,5,6],[2,7,8,9,10]] => [2,7,8,9,10,1,3,4,5,6] => [9,4,3,2,1,10,8,7,6,5] => 111101111 => 4

[[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => [8,7,5,3,1,10,9,6,4,2] => 111101111 => 4

[[1,2,5,7,8],[3,4,6,9,10]] => [3,4,6,9,10,1,2,5,7,8] => [8,7,5,2,1,10,9,6,4,3] => 111101111 => 4

[[1,2,5,6,9],[3,4,7,8,10]] => [3,4,7,8,10,1,2,5,6,9] => [8,7,4,3,1,10,9,6,5,2] => 111101111 => 4

[[1,2,5,6,8],[3,4,7,9,10]] => [3,4,7,9,10,1,2,5,6,8] => [8,7,4,2,1,10,9,6,5,3] => 111101111 => 4

[[1,2,5,6,7],[3,4,8,9,10]] => [3,4,8,9,10,1,2,5,6,7] => [8,7,3,2,1,10,9,6,5,4] => 111101111 => 4

[[1,2,4,7,9],[3,5,6,8,10]] => [3,5,6,8,10,1,2,4,7,9] => [8,6,5,3,1,10,9,7,4,2] => 111101111 => 4

[[1,2,4,7,8],[3,5,6,9,10]] => [3,5,6,9,10,1,2,4,7,8] => [8,6,5,2,1,10,9,7,4,3] => 111101111 => 4

[[1,2,4,6,9],[3,5,7,8,10]] => [3,5,7,8,10,1,2,4,6,9] => [8,6,4,3,1,10,9,7,5,2] => 111101111 => 4

[[1,2,4,6,8],[3,5,7,9,10]] => [3,5,7,9,10,1,2,4,6,8] => [8,6,4,2,1,10,9,7,5,3] => 111101111 => 4

[[1,2,4,6,7],[3,5,8,9,10]] => [3,5,8,9,10,1,2,4,6,7] => [8,6,3,2,1,10,9,7,5,4] => 111101111 => 4

[[1,2,4,5,9],[3,6,7,8,10]] => [3,6,7,8,10,1,2,4,5,9] => [8,5,4,3,1,10,9,7,6,2] => 111101111 => 4

[[1,2,4,5,8],[3,6,7,9,10]] => [3,6,7,9,10,1,2,4,5,8] => [8,5,4,2,1,10,9,7,6,3] => 111101111 => 4

[[1,2,4,5,7],[3,6,8,9,10]] => [3,6,8,9,10,1,2,4,5,7] => [8,5,3,2,1,10,9,7,6,4] => 111101111 => 4

[[1,2,4,5,6],[3,7,8,9,10]] => [3,7,8,9,10,1,2,4,5,6] => [8,4,3,2,1,10,9,7,6,5] => 111101111 => 4

[[1,2,3,7,9],[4,5,6,8,10]] => [4,5,6,8,10,1,2,3,7,9] => [7,6,5,3,1,10,9,8,4,2] => 111101111 => 4

[[1,2,3,7,8],[4,5,6,9,10]] => [4,5,6,9,10,1,2,3,7,8] => [7,6,5,2,1,10,9,8,4,3] => 111101111 => 4

[[1,2,3,6,9],[4,5,7,8,10]] => [4,5,7,8,10,1,2,3,6,9] => [7,6,4,3,1,10,9,8,5,2] => 111101111 => 4

[[1,2,3,6,8],[4,5,7,9,10]] => [4,5,7,9,10,1,2,3,6,8] => [7,6,4,2,1,10,9,8,5,3] => 111101111 => 4

[[1,2,3,6,7],[4,5,8,9,10]] => [4,5,8,9,10,1,2,3,6,7] => [7,6,3,2,1,10,9,8,5,4] => 111101111 => 4

[[1,2,3,5,9],[4,6,7,8,10]] => [4,6,7,8,10,1,2,3,5,9] => [7,5,4,3,1,10,9,8,6,2] => 111101111 => 4

[[1,2,3,5,8],[4,6,7,9,10]] => [4,6,7,9,10,1,2,3,5,8] => [7,5,4,2,1,10,9,8,6,3] => 111101111 => 4

[[1,2,3,5,7],[4,6,8,9,10]] => [4,6,8,9,10,1,2,3,5,7] => [7,5,3,2,1,10,9,8,6,4] => 111101111 => 4

[[1,2,3,5,6],[4,7,8,9,10]] => [4,7,8,9,10,1,2,3,5,6] => [7,4,3,2,1,10,9,8,6,5] => 111101111 => 4

[[1,2,3,4,9],[5,6,7,8,10]] => [5,6,7,8,10,1,2,3,4,9] => [6,5,4,3,1,10,9,8,7,2] => 111101111 => 4

[[1,2,3,4,8],[5,6,7,9,10]] => [5,6,7,9,10,1,2,3,4,8] => [6,5,4,2,1,10,9,8,7,3] => 111101111 => 4

[[1,2,3,4,7],[5,6,8,9,10]] => [5,6,8,9,10,1,2,3,4,7] => [6,5,3,2,1,10,9,8,7,4] => 111101111 => 4

[[1,2,3,4,6],[5,7,8,9,10]] => [5,7,8,9,10,1,2,3,4,6] => [6,4,3,2,1,10,9,8,7,5] => 111101111 => 4

[[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => [5,4,3,2,1,10,9,8,7,6] => 111101111 => 4

[[1,2,3,4,5,6,7,8,9]] => [1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => 11111111 => 0

[[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 01111111 => 0

[[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => [2,1,9,8,7,6,5,4,3] => 10111111 => 1

[[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => [1,2,9,8,7,6,5,4,3] => 00111111 => 0

[[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => [3,2,1,9,8,7,6,5,4] => 11011111 => 2

[[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => [1,3,2,9,8,7,6,5,4] => 01011111 => 1

[[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => [1,2,3,9,8,7,6,5,4] => 00011111 => 0

[[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => [4,3,2,1,9,8,7,6,5] => 11101111 => 3

[[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => [1,4,3,2,9,8,7,6,5] => 01101111 => 2

[[1,2,3,4,5],[6,7],[8,9]] => [8,9,6,7,1,2,3,4,5] => [2,1,4,3,9,8,7,6,5] => 10101111 => 3

[[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => [1,2,4,3,9,8,7,6,5] => 00101111 => 1

[[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => [1,2,3,4,9,8,7,6,5] => 00001111 => 0

[[1,2,3,4],[5,6,7,8],[9]] => [9,5,6,7,8,1,2,3,4] => [1,5,4,3,2,9,8,7,6] => 01110111 => 3

[[1,2,3,4],[5,6,7],[8,9]] => [8,9,5,6,7,1,2,3,4] => [2,1,5,4,3,9,8,7,6] => 10110111 => 4

[[1,2,3,4],[5,6,7],[8],[9]] => [9,8,5,6,7,1,2,3,4] => [1,2,5,4,3,9,8,7,6] => 00110111 => 2

[[1,2,3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,1,2,3,4] => [1,3,2,5,4,9,8,7,6] => 01010111 => 3

[[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => [1,2,3,5,4,9,8,7,6] => 00010111 => 1

[[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,9,8,7,6] => 00000111 => 0

[[1,2,3],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3] => [3,2,1,6,5,4,9,8,7] => 11011011 => 6

[[1,2,3],[4,5,6],[7,8],[9]] => [9,7,8,4,5,6,1,2,3] => [1,3,2,6,5,4,9,8,7] => 01011011 => 4

[[1,2,3],[4,5,6],[7],[8],[9]] => [9,8,7,4,5,6,1,2,3] => [1,2,3,6,5,4,9,8,7] => 00011011 => 2

[[1,2,3],[4,5],[6,7],[8,9]] => [8,9,6,7,4,5,1,2,3] => [2,1,4,3,6,5,9,8,7] => 10101011 => 6

[[1,2,3],[4,5],[6,7],[8],[9]] => [9,8,6,7,4,5,1,2,3] => [1,2,4,3,6,5,9,8,7] => 00101011 => 3

[[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => [1,2,3,4,6,5,9,8,7] => 00001011 => 1

[[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,9,8,7] => 00000011 => 0

[[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => [1,3,2,5,4,7,6,9,8] => 01010101 => 6

[[1,2],[3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,3,4,1,2] => [1,2,3,5,4,7,6,9,8] => 00010101 => 3

[[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,7,6,9,8] => 00000101 => 1

[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,9,8] => 00000001 => 0

[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => 00000000 => 0

[[1,2,3,4,5,6,7,8,9,10]] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => 111111111 => 0

[[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => 011111111 => 0

[[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => [2,1,10,9,8,7,6,5,4,3] => 101111111 => 1

[[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => [1,2,10,9,8,7,6,5,4,3] => 001111111 => 0

[[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => [3,2,1,10,9,8,7,6,5,4] => 110111111 => 2

[[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => [1,3,2,10,9,8,7,6,5,4] => 010111111 => 1

[[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => [1,2,3,10,9,8,7,6,5,4] => 000111111 => 0

[[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => [4,3,2,1,10,9,8,7,6,5] => 111011111 => 3

[[1,2,3,4,5,6],[7,8,9],[10]] => [10,7,8,9,1,2,3,4,5,6] => [1,4,3,2,10,9,8,7,6,5] => 011011111 => 2

[[1,2,3,4,5,6],[7,8],[9,10]] => [9,10,7,8,1,2,3,4,5,6] => [2,1,4,3,10,9,8,7,6,5] => 101011111 => 3

[[1,2,3,4,5,6],[7,8],[9],[10]] => [10,9,7,8,1,2,3,4,5,6] => [1,2,4,3,10,9,8,7,6,5] => 001011111 => 1

[[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,10,9,8,7,6,5] => 000011111 => 0

[[1,2,3,4,5],[6,7,8,9],[10]] => [10,6,7,8,9,1,2,3,4,5] => [1,5,4,3,2,10,9,8,7,6] => 011101111 => 3

[[1,2,3,4,5],[6,7,8],[9,10]] => [9,10,6,7,8,1,2,3,4,5] => [2,1,5,4,3,10,9,8,7,6] => 101101111 => 4

[[1,2,3,4,5],[6,7,8],[9],[10]] => [10,9,6,7,8,1,2,3,4,5] => [1,2,5,4,3,10,9,8,7,6] => 001101111 => 2

[[1,2,3,4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,1,2,3,4,5] => [1,3,2,5,4,10,9,8,7,6] => 010101111 => 3

[[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => [1,2,3,5,4,10,9,8,7,6] => 000101111 => 1

[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,10,9,8,7,6] => 000001111 => 0

[[1,2,3,4],[5,6,7,8],[9,10]] => [9,10,5,6,7,8,1,2,3,4] => [2,1,6,5,4,3,10,9,8,7] => 101110111 => 5

[[1,2,3,4],[5,6,7,8],[9],[10]] => [10,9,5,6,7,8,1,2,3,4] => [1,2,6,5,4,3,10,9,8,7] => 001110111 => 3

[[1,2,3,4],[5,6,7],[8,9,10]] => [8,9,10,5,6,7,1,2,3,4] => [3,2,1,6,5,4,10,9,8,7] => 110110111 => 6

[[1,2,3,4],[5,6,7],[8,9],[10]] => [10,8,9,5,6,7,1,2,3,4] => [1,3,2,6,5,4,10,9,8,7] => 010110111 => 4

[[1,2,3,4],[5,6,7],[8],[9],[10]] => [10,9,8,5,6,7,1,2,3,4] => [1,2,3,6,5,4,10,9,8,7] => 000110111 => 2

[[1,2,3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,1,2,3,4] => [2,1,4,3,6,5,10,9,8,7] => 101010111 => 6

[[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => [1,2,4,3,6,5,10,9,8,7] => 001010111 => 3

[[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => [1,2,3,4,6,5,10,9,8,7] => 000010111 => 1

[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,10,9,8,7] => 000000111 => 0

[[1,2,3],[4,5,6],[7,8,9],[10]] => [10,7,8,9,4,5,6,1,2,3] => [1,4,3,2,7,6,5,10,9,8] => 011011011 => 6

[[1,2,3],[4,5,6],[7,8],[9,10]] => [9,10,7,8,4,5,6,1,2,3] => [2,1,4,3,7,6,5,10,9,8] => 101011011 => 7

[[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => [1,2,4,3,7,6,5,10,9,8] => 001011011 => 4

[[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => [1,2,3,4,7,6,5,10,9,8] => 000011011 => 2

[[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => [1,3,2,5,4,7,6,10,9,8] => 010101011 => 6

[[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => [1,2,3,5,4,7,6,10,9,8] => 000101011 => 3

[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,5,1,2,3] => [1,2,3,4,5,7,6,10,9,8] => 000001011 => 1

[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,10,9,8] => 000000011 => 0

[[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9] => 101010101 => 10

[[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => [1,2,4,3,6,5,8,7,10,9] => 001010101 => 6

[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,3,4,1,2] => [1,2,3,4,6,5,8,7,10,9] => 000010101 => 3

[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,8,7,10,9] => 000000101 => 1

[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,10,9] => 000000001 => 0

[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => 000000000 => 0

[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9,12,11] => 10101010101 => 15

[[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => [8,9,7,6,5,4,3,2,1] => 01111111 => 0

[[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => [7,6,9,8,5,4,3,2,1] => 10111111 => 1

[[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => [7,8,9,6,5,4,3,2,1] => 00111111 => 0

[[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => [6,5,4,9,8,7,3,2,1] => 11011111 => 2

[[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => [6,8,5,9,7,4,3,2,1] => 01011111 => 1

[[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => [6,7,8,9,5,4,3,2,1] => 00011111 => 0

[[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => [5,4,3,2,9,8,7,6,1] => 11101111 => 3

[[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => [5,8,4,3,9,7,6,2,1] => 01101111 => 2

[[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => [5,4,7,6,9,8,3,2,1] => 10101111 => 3

[[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => [5,7,8,4,9,6,3,2,1] => 00101111 => 1

[[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => [5,6,7,8,9,4,3,2,1] => 00001111 => 0

[[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => [4,8,3,2,1,9,7,6,5] => 01110111 => 3

[[1,2,5,9],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9] => [4,3,7,6,2,9,8,5,1] => 10110111 => 4

[[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => [4,7,8,3,2,9,6,5,1] => 00110111 => 2

[[1,3,8,9],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9] => [4,6,3,8,5,9,7,2,1] => 01010111 => 3

[[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => [4,6,7,8,3,9,5,2,1] => 00010111 => 1

[[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => [4,5,6,7,8,9,3,2,1] => 00000111 => 0

[[1,3,6],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6] => [3,6,2,8,5,1,9,7,4] => 01011011 => 4

[[1,5,6],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6] => [3,6,7,8,2,1,9,5,4] => 00011011 => 2

[[1,2,9],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9] => [3,2,5,4,7,6,9,8,1] => 10101011 => 6

[[1,4,9],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9] => [3,5,7,2,8,4,9,6,1] => 00101011 => 3

[[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => [3,5,6,7,8,2,9,4,1] => 00001011 => 1

[[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => [3,4,5,6,7,8,9,2,1] => 00000011 => 0

[[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => [2,4,1,6,3,8,5,9,7] => 01010101 => 6

[[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => [2,4,6,7,1,8,3,9,5] => 00010101 => 3

[[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => [2,4,5,6,7,8,1,9,3] => 00000101 => 1

[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,9,1] => 00000001 => 0

[[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => [9,10,8,7,6,5,4,3,2,1] => 011111111 => 0

[[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => [8,7,10,9,6,5,4,3,2,1] => 101111111 => 1

[[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => [8,9,10,7,6,5,4,3,2,1] => 001111111 => 0

[[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => [7,6,5,10,9,8,4,3,2,1] => 110111111 => 2

[[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => [7,9,6,10,8,5,4,3,2,1] => 010111111 => 1

[[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => [7,8,9,10,6,5,4,3,2,1] => 000111111 => 0

[[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => [6,5,4,3,10,9,8,7,2,1] => 111011111 => 3

[[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => [6,9,5,4,10,8,7,3,2,1] => 011011111 => 2

[[1,2,7,8,9,10],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9,10] => [6,5,8,7,10,9,4,3,2,1] => 101011111 => 3

[[1,4,7,8,9,10],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9,10] => [6,8,9,5,10,7,4,3,2,1] => 001011111 => 1

[[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => [6,7,8,9,10,5,4,3,2,1] => 000011111 => 0

[[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => [5,9,4,3,2,10,8,7,6,1] => 011101111 => 3

[[1,2,5,9,10],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9,10] => [5,4,8,7,3,10,9,6,2,1] => 101101111 => 4

[[1,4,5,9,10],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9,10] => [5,8,9,4,3,10,7,6,2,1] => 001101111 => 2

[[1,3,8,9,10],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9,10] => [5,7,4,9,6,10,8,3,2,1] => 010101111 => 3

[[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => [5,7,8,9,4,10,6,3,2,1] => 000101111 => 1

[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => [5,6,7,8,9,10,4,3,2,1] => 000001111 => 0

[[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => [4,3,8,7,2,1,10,9,6,5] => 101110111 => 5

[[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => [4,8,9,3,2,1,10,7,6,5] => 001110111 => 3

[[1,2,3,10],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3,10] => [4,3,2,7,6,5,10,9,8,1] => 110110111 => 6

[[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => [4,7,3,9,6,2,10,8,5,1] => 010110111 => 4

[[1,5,6,10],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6,10] => [4,7,8,9,3,2,10,6,5,1] => 000110111 => 2

[[1,2,9,10],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9,10] => [4,3,6,5,8,7,10,9,2,1] => 101010111 => 6

[[1,4,9,10],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9,10] => [4,6,8,3,9,5,10,7,2,1] => 001010111 => 3

[[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => [4,6,7,8,9,3,10,5,2,1] => 000010111 => 1

[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => [4,5,6,7,8,9,10,3,2,1] => 000000111 => 0

[[1,3,4],[2,6,7],[5,9,10],[8]] => [8,5,9,10,2,6,7,1,3,4] => [3,6,2,1,9,5,4,10,8,7] => 011011011 => 6

[[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => [3,2,6,5,8,7,1,10,9,4] => 101011011 => 7

[[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => [3,6,8,2,9,5,1,10,7,4] => 001011011 => 4

[[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => [3,6,7,8,9,2,1,10,5,4] => 000011011 => 2

[[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => [3,5,2,7,4,9,6,10,8,1] => 010101011 => 6

[[1,5,10],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5,10] => [3,5,7,8,2,9,4,10,6,1] => 000101011 => 3

[[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7,10] => [3,5,6,7,8,9,2,10,4,1] => 000001011 => 1

[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => [3,4,5,6,7,8,9,10,2,1] => 000000011 => 0

[[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => [2,4,6,1,8,3,9,5,10,7] => 001010101 => 6

[[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => [2,4,6,7,8,1,9,3,10,5] => 000010101 => 3

[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => [2,4,5,6,7,8,9,1,10,3] => 000000101 => 1

[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,10,1] => 000000001 => 0

[[1,8],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8] => [3,4,5,6,7,8,1,9,2] => 00000101 => 1

[[1,7],[2,8],[3,9],[4],[5],[6]] => [6,5,4,3,9,2,8,1,7] => [4,5,6,7,1,8,2,9,3] => 00010101 => 3

[[1,7,9],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9] => [4,5,6,7,8,2,9,3,1] => 00001011 => 1

[[1,6],[2,7],[3,8],[4,9],[5]] => [5,4,9,3,8,2,7,1,6] => [5,6,1,7,2,8,3,9,4] => 01010101 => 6

[[1,6,9],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6,9] => [5,6,7,2,8,3,9,4,1] => 00101011 => 3

[[1,6,8],[2,7,9],[3],[4],[5]] => [5,4,3,2,7,9,1,6,8] => [5,6,7,8,3,1,9,4,2] => 00011011 => 2

[[1,6,8,9],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9] => [5,6,7,8,3,9,4,2,1] => 00010111 => 1

[[1,5,9],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5,9] => [6,2,7,3,8,4,9,5,1] => 10101011 => 6

[[1,5,8],[2,6,9],[3,7],[4]] => [4,3,7,2,6,9,1,5,8] => [6,7,3,8,4,1,9,5,2] => 01011011 => 4

[[1,5,8,9],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8,9] => [6,7,3,8,4,9,5,2,1] => 01010111 => 3

[[1,5,7,9],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7,9] => [6,7,8,4,2,9,5,3,1] => 00110111 => 2

[[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => [6,7,8,4,9,5,3,2,1] => 00101111 => 1

[[1,4,7],[2,5,8],[3,6,9]] => [3,6,9,2,5,8,1,4,7] => [7,4,1,8,5,2,9,6,3] => 11011011 => 6

[[1,4,7,9],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7,9] => [7,4,8,5,2,9,6,3,1] => 10110111 => 4

[[1,4,7,8,9],[2,5],[3,6]] => [3,6,2,5,1,4,7,8,9] => [7,4,8,5,9,6,3,2,1] => 10101111 => 3

[[1,4,6,8],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8] => [7,8,5,3,1,9,6,4,2] => 01110111 => 3

[[1,4,6,8,9],[2,5,7],[3]] => [3,2,5,7,1,4,6,8,9] => [7,8,5,3,9,6,4,2,1] => 01101111 => 2

[[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => [7,8,5,9,6,4,3,2,1] => 01011111 => 1

[[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => [8,6,4,2,9,7,5,3,1] => 11101111 => 3

[[1,3,5,7,8,9],[2,4,6]] => [2,4,6,1,3,5,7,8,9] => [8,6,4,9,7,5,3,2,1] => 11011111 => 2

[[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => [8,6,9,7,5,4,3,2,1] => 10111111 => 1

[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,10,1,9] => [3,4,5,6,7,8,9,1,10,2] => 000000101 => 1

[[1,8],[2,9],[3,10],[4],[5],[6],[7]] => [7,6,5,4,3,10,2,9,1,8] => [4,5,6,7,8,1,9,2,10,3] => 000010101 => 3

[[1,8,10],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8,10] => [4,5,6,7,8,9,2,10,3,1] => 000001011 => 1

[[1,7],[2,8],[3,9],[4,10],[5],[6]] => [6,5,4,10,3,9,2,8,1,7] => [5,6,7,1,8,2,9,3,10,4] => 001010101 => 6

[[1,7,10],[2,8],[3,9],[4],[5],[6]] => [6,5,4,3,9,2,8,1,7,10] => [5,6,7,8,2,9,3,10,4,1] => 000101011 => 3

[[1,7,9],[2,8,10],[3],[4],[5],[6]] => [6,5,4,3,2,8,10,1,7,9] => [5,6,7,8,9,3,1,10,4,2] => 000011011 => 2

[[1,7,9,10],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9,10] => [5,6,7,8,9,3,10,4,2,1] => 000010111 => 1

[[1,6],[2,7],[3,8],[4,9],[5,10]] => [5,10,4,9,3,8,2,7,1,6] => [6,1,7,2,8,3,9,4,10,5] => 101010101 => 10

[[1,6,10],[2,7],[3,8],[4,9],[5]] => [5,4,9,3,8,2,7,1,6,10] => [6,7,2,8,3,9,4,10,5,1] => 010101011 => 6

[[1,6,9],[2,7,10],[3,8],[4],[5]] => [5,4,3,8,2,7,10,1,6,9] => [6,7,8,3,9,4,1,10,5,2] => 001011011 => 4

[[1,6,9,10],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6,9,10] => [6,7,8,3,9,4,10,5,2,1] => 001010111 => 3

[[1,6,8,10],[2,7,9],[3],[4],[5]] => [5,4,3,2,7,9,1,6,8,10] => [6,7,8,9,4,2,10,5,3,1] => 000110111 => 2

[[1,6,8,9,10],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9,10] => [6,7,8,9,4,10,5,3,2,1] => 000101111 => 1

[[1,5,9],[2,6,10],[3,7],[4,8]] => [4,8,3,7,2,6,10,1,5,9] => [7,3,8,4,9,5,1,10,6,2] => 101011011 => 7

[[1,5,9,10],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5,9,10] => [7,3,8,4,9,5,10,6,2,1] => 101010111 => 6

[[1,5,8],[2,6,9],[3,7,10],[4]] => [4,3,7,10,2,6,9,1,5,8] => [7,8,4,1,9,5,2,10,6,3] => 011011011 => 6

[[1,5,8,10],[2,6,9],[3,7],[4]] => [4,3,7,2,6,9,1,5,8,10] => [7,8,4,9,5,2,10,6,3,1] => 010110111 => 4

[[1,5,8,9,10],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8,9,10] => [7,8,4,9,5,10,6,3,2,1] => 010101111 => 3

[[1,5,7,9],[2,6,8,10],[3],[4]] => [4,3,2,6,8,10,1,5,7,9] => [7,8,9,5,3,1,10,6,4,2] => 001110111 => 3

[[1,5,7,9,10],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7,9,10] => [7,8,9,5,3,10,6,4,2,1] => 001101111 => 2

[[1,5,7,8,9,10],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9,10] => [7,8,9,5,10,6,4,3,2,1] => 001011111 => 1

[[1,4,7,10],[2,5,8],[3,6,9]] => [3,6,9,2,5,8,1,4,7,10] => [8,5,2,9,6,3,10,7,4,1] => 110110111 => 6

[[1,4,7,9],[2,5,8,10],[3,6]] => [3,6,2,5,8,10,1,4,7,9] => [8,5,9,6,3,1,10,7,4,2] => 101110111 => 5

[[1,4,7,9,10],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7,9,10] => [8,5,9,6,3,10,7,4,2,1] => 101101111 => 4

[[1,4,7,8,9,10],[2,5],[3,6]] => [3,6,2,5,1,4,7,8,9,10] => [8,5,9,6,10,7,4,3,2,1] => 101011111 => 3

[[1,4,6,8,10],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8,10] => [8,9,6,4,2,10,7,5,3,1] => 011101111 => 3

[[1,4,6,8,9,10],[2,5,7],[3]] => [3,2,5,7,1,4,6,8,9,10] => [8,9,6,4,10,7,5,3,2,1] => 011011111 => 2

[[1,4,6,7,8,9,10],[2,5],[3]] => [3,2,5,1,4,6,7,8,9,10] => [8,9,6,10,7,5,4,3,2,1] => 010111111 => 1

[[1,3,5,7,9,10],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9,10] => [9,7,5,3,10,8,6,4,2,1] => 111011111 => 3

[[1,3,5,7,8,9,10],[2,4,6]] => [2,4,6,1,3,5,7,8,9,10] => [9,7,5,10,8,6,4,3,2,1] => 110111111 => 2

[[1,3,5,6,7,8,9,10],[2,4]] => [2,4,1,3,5,6,7,8,9,10] => [9,7,10,8,6,5,4,3,2,1] => 101111111 => 1

[[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => [1,2,3,4,5,8,6,9,7] => 00000101 => 1

[[1,4],[2,5],[3,6],[7],[8],[9]] => [9,8,7,3,6,2,5,1,4] => [1,2,3,7,4,8,5,9,6] => 00010101 => 3

[[1,2,4],[3,5],[6],[7],[8],[9]] => [9,8,7,6,3,5,1,2,4] => [1,2,3,4,7,5,9,8,6] => 00001011 => 1

[[1,5],[2,6],[3,7],[4,8],[9]] => [9,4,8,3,7,2,6,1,5] => [1,6,2,7,3,8,4,9,5] => 01010101 => 6

[[1,2,5],[3,6],[4,7],[8],[9]] => [9,8,4,7,3,6,1,2,5] => [1,2,6,3,7,4,9,8,5] => 00101011 => 3

[[1,3,5],[2,4,6],[7],[8],[9]] => [9,8,7,2,4,6,1,3,5] => [1,2,3,8,6,4,9,7,5] => 00011011 => 2

[[1,2,3,5],[4,6],[7],[8],[9]] => [9,8,7,4,6,1,2,3,5] => [1,2,3,6,4,9,8,7,5] => 00010111 => 1

[[1,2,6],[3,7],[4,8],[5,9]] => [5,9,4,8,3,7,1,2,6] => [5,1,6,2,7,3,9,8,4] => 10101011 => 6

[[1,3,6],[2,4,7],[5,8],[9]] => [9,5,8,2,4,7,1,3,6] => [1,5,2,8,6,3,9,7,4] => 01011011 => 4

[[1,2,3,6],[4,7],[5,8],[9]] => [9,5,8,4,7,1,2,3,6] => [1,5,2,6,3,9,8,7,4] => 01010111 => 3

[[1,2,4,6],[3,5,7],[8],[9]] => [9,8,3,5,7,1,2,4,6] => [1,2,7,5,3,9,8,6,4] => 00110111 => 2

[[1,2,3,4,6],[5,7],[8],[9]] => [9,8,5,7,1,2,3,4,6] => [1,2,5,3,9,8,7,6,4] => 00101111 => 1

[[1,2,4,7],[3,5,8],[6,9]] => [6,9,3,5,8,1,2,4,7] => [4,1,7,5,2,9,8,6,3] => 10110111 => 4

[[1,2,3,4,7],[5,8],[6,9]] => [6,9,5,8,1,2,3,4,7] => [4,1,5,2,9,8,7,6,3] => 10101111 => 3

[[1,3,5,7],[2,4,6,8],[9]] => [9,2,4,6,8,1,3,5,7] => [1,8,6,4,2,9,7,5,3] => 01110111 => 3

[[1,2,3,5,7],[4,6,8],[9]] => [9,4,6,8,1,2,3,5,7] => [1,6,4,2,9,8,7,5,3] => 01101111 => 2

[[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => [1,4,2,9,8,7,6,5,3] => 01011111 => 1

[[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => [7,5,3,1,9,8,6,4,2] => 11101111 => 3

[[1,2,3,4,6,8],[5,7,9]] => [5,7,9,1,2,3,4,6,8] => [5,3,1,9,8,7,6,4,2] => 11011111 => 2

[[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => [3,1,9,8,7,6,5,4,2] => 10111111 => 1

[[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => [1,2,3,4,5,6,9,7,10,8] => 000000101 => 1

[[1,4],[2,5],[3,6],[7],[8],[9],[10]] => [10,9,8,7,3,6,2,5,1,4] => [1,2,3,4,8,5,9,6,10,7] => 000010101 => 3

[[1,2,4],[3,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,3,5,1,2,4] => [1,2,3,4,5,8,6,10,9,7] => 000001011 => 1

[[1,5],[2,6],[3,7],[4,8],[9],[10]] => [10,9,4,8,3,7,2,6,1,5] => [1,2,7,3,8,4,9,5,10,6] => 001010101 => 6

[[1,2,5],[3,6],[4,7],[8],[9],[10]] => [10,9,8,4,7,3,6,1,2,5] => [1,2,3,7,4,8,5,10,9,6] => 000101011 => 3

[[1,3,5],[2,4,6],[7],[8],[9],[10]] => [10,9,8,7,2,4,6,1,3,5] => [1,2,3,4,9,7,5,10,8,6] => 000011011 => 2

[[1,2,3,5],[4,6],[7],[8],[9],[10]] => [10,9,8,7,4,6,1,2,3,5] => [1,2,3,4,7,5,10,9,8,6] => 000010111 => 1

[[1,2,6],[3,7],[4,8],[5,9],[10]] => [10,5,9,4,8,3,7,1,2,6] => [1,6,2,7,3,8,4,10,9,5] => 010101011 => 6

[[1,3,6],[2,4,7],[5,8],[9],[10]] => [10,9,5,8,2,4,7,1,3,6] => [1,2,6,3,9,7,4,10,8,5] => 001011011 => 4

[[1,2,3,6],[4,7],[5,8],[9],[10]] => [10,9,5,8,4,7,1,2,3,6] => [1,2,6,3,7,4,10,9,8,5] => 001010111 => 3

[[1,2,4,6],[3,5,7],[8],[9],[10]] => [10,9,8,3,5,7,1,2,4,6] => [1,2,3,8,6,4,10,9,7,5] => 000110111 => 2

[[1,2,3,4,6],[5,7],[8],[9],[10]] => [10,9,8,5,7,1,2,3,4,6] => [1,2,3,6,4,10,9,8,7,5] => 000101111 => 1

[[1,3,7],[2,4,8],[5,9],[6,10]] => [6,10,5,9,2,4,8,1,3,7] => [5,1,6,2,9,7,3,10,8,4] => 101011011 => 7

[[1,2,3,7],[4,8],[5,9],[6,10]] => [6,10,5,9,4,8,1,2,3,7] => [5,1,6,2,7,3,10,9,8,4] => 101010111 => 6

[[1,4,7],[2,5,8],[3,6,9],[10]] => [10,3,6,9,2,5,8,1,4,7] => [1,8,5,2,9,6,3,10,7,4] => 011011011 => 6

[[1,2,4,7],[3,5,8],[6,9],[10]] => [10,6,9,3,5,8,1,2,4,7] => [1,5,2,8,6,3,10,9,7,4] => 010110111 => 4

[[1,2,3,4,7],[5,8],[6,9],[10]] => [10,6,9,5,8,1,2,3,4,7] => [1,5,2,6,3,10,9,8,7,4] => 010101111 => 3

[[1,3,5,7],[2,4,6,8],[9],[10]] => [10,9,2,4,6,8,1,3,5,7] => [1,2,9,7,5,3,10,8,6,4] => 001110111 => 3

[[1,2,3,5,7],[4,6,8],[9],[10]] => [10,9,4,6,8,1,2,3,5,7] => [1,2,7,5,3,10,9,8,6,4] => 001101111 => 2

[[1,2,3,4,5,7],[6,8],[9],[10]] => [10,9,6,8,1,2,3,4,5,7] => [1,2,5,3,10,9,8,7,6,4] => 001011111 => 1

[[1,2,5,8],[3,6,9],[4,7,10]] => [4,7,10,3,6,9,1,2,5,8] => [7,4,1,8,5,2,10,9,6,3] => 110110111 => 6

[[1,3,5,8],[2,4,6,9],[7,10]] => [7,10,2,4,6,9,1,3,5,8] => [4,1,9,7,5,2,10,8,6,3] => 101110111 => 5

[[1,2,3,5,8],[4,6,9],[7,10]] => [7,10,4,6,9,1,2,3,5,8] => [4,1,7,5,2,10,9,8,6,3] => 101101111 => 4

[[1,2,3,4,5,8],[6,9],[7,10]] => [7,10,6,9,1,2,3,4,5,8] => [4,1,5,2,10,9,8,7,6,3] => 101011111 => 3

[[1,2,4,6,8],[3,5,7,9],[10]] => [10,3,5,7,9,1,2,4,6,8] => [1,8,6,4,2,10,9,7,5,3] => 011101111 => 3

[[1,2,3,4,6,8],[5,7,9],[10]] => [10,5,7,9,1,2,3,4,6,8] => [1,6,4,2,10,9,8,7,5,3] => 011011111 => 2

[[1,2,3,4,5,6,8],[7,9],[10]] => [10,7,9,1,2,3,4,5,6,8] => [1,4,2,10,9,8,7,6,5,3] => 010111111 => 1

[[1,2,3,5,7,9],[4,6,8,10]] => [4,6,8,10,1,2,3,5,7,9] => [7,5,3,1,10,9,8,6,4,2] => 111011111 => 3

[[1,2,3,4,5,7,9],[6,8,10]] => [6,8,10,1,2,3,4,5,7,9] => [5,3,1,10,9,8,7,6,4,2] => 110111111 => 2

[[1,2,3,4,5,6,7,9],[8,10]] => [8,10,1,2,3,4,5,6,7,9] => [3,1,10,9,8,7,6,5,4,2] => 101111111 => 1

[[1,2],[3,4],[5,6],[7,9],[8,10]] => [8,10,7,9,5,6,3,4,1,2] => [3,1,4,2,6,5,8,7,10,9] => 101010101 => 10

[[1,2],[3,4],[5,7],[6,8],[9,10]] => [9,10,6,8,5,7,3,4,1,2] => [2,1,5,3,6,4,8,7,10,9] => 101010101 => 10

[[1,2],[3,4],[5,7],[6,9],[8,10]] => [8,10,6,9,5,7,3,4,1,2] => [3,1,5,2,6,4,8,7,10,9] => 101010101 => 10

[[1,2],[3,4],[5,8],[6,9],[7,10]] => [7,10,6,9,5,8,3,4,1,2] => [4,1,5,2,6,3,8,7,10,9] => 101010101 => 10

[[1,2],[3,5],[4,6],[7,8],[9,10]] => [9,10,7,8,4,6,3,5,1,2] => [2,1,4,3,7,5,8,6,10,9] => 101010101 => 10

[[1,2],[3,5],[4,6],[7,9],[8,10]] => [8,10,7,9,4,6,3,5,1,2] => [3,1,4,2,7,5,8,6,10,9] => 101010101 => 10

[[1,2],[3,5],[4,7],[6,8],[9,10]] => [9,10,6,8,4,7,3,5,1,2] => [2,1,5,3,7,4,8,6,10,9] => 101010101 => 10

[[1,2],[3,5],[4,7],[6,9],[8,10]] => [8,10,6,9,4,7,3,5,1,2] => [3,1,5,2,7,4,8,6,10,9] => 101010101 => 10

[[1,2],[3,5],[4,8],[6,9],[7,10]] => [7,10,6,9,4,8,3,5,1,2] => [4,1,5,2,7,3,8,6,10,9] => 101010101 => 10

[[1,2],[3,6],[4,7],[5,8],[9,10]] => [9,10,5,8,4,7,3,6,1,2] => [2,1,6,3,7,4,8,5,10,9] => 101010101 => 10

[[1,2],[3,6],[4,7],[5,9],[8,10]] => [8,10,5,9,4,7,3,6,1,2] => [3,1,6,2,7,4,8,5,10,9] => 101010101 => 10

[[1,2],[3,6],[4,8],[5,9],[7,10]] => [7,10,5,9,4,8,3,6,1,2] => [4,1,6,2,7,3,8,5,10,9] => 101010101 => 10

[[1,2],[3,7],[4,8],[5,9],[6,10]] => [6,10,5,9,4,8,3,7,1,2] => [5,1,6,2,7,3,8,4,10,9] => 101010101 => 10

[[1,3],[2,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,2,4,1,3] => [2,1,4,3,6,5,9,7,10,8] => 101010101 => 10

[[1,3],[2,4],[5,6],[7,9],[8,10]] => [8,10,7,9,5,6,2,4,1,3] => [3,1,4,2,6,5,9,7,10,8] => 101010101 => 10

[[1,3],[2,4],[5,7],[6,8],[9,10]] => [9,10,6,8,5,7,2,4,1,3] => [2,1,5,3,6,4,9,7,10,8] => 101010101 => 10

[[1,3],[2,4],[5,7],[6,9],[8,10]] => [8,10,6,9,5,7,2,4,1,3] => [3,1,5,2,6,4,9,7,10,8] => 101010101 => 10

[[1,3],[2,4],[5,8],[6,9],[7,10]] => [7,10,6,9,5,8,2,4,1,3] => [4,1,5,2,6,3,9,7,10,8] => 101010101 => 10

[[1,3],[2,5],[4,6],[7,8],[9,10]] => [9,10,7,8,4,6,2,5,1,3] => [2,1,4,3,7,5,9,6,10,8] => 101010101 => 10

[[1,3],[2,5],[4,6],[7,9],[8,10]] => [8,10,7,9,4,6,2,5,1,3] => [3,1,4,2,7,5,9,6,10,8] => 101010101 => 10

[[1,3],[2,5],[4,7],[6,8],[9,10]] => [9,10,6,8,4,7,2,5,1,3] => [2,1,5,3,7,4,9,6,10,8] => 101010101 => 10

[[1,3],[2,5],[4,7],[6,9],[8,10]] => [8,10,6,9,4,7,2,5,1,3] => [3,1,5,2,7,4,9,6,10,8] => 101010101 => 10

[[1,3],[2,5],[4,8],[6,9],[7,10]] => [7,10,6,9,4,8,2,5,1,3] => [4,1,5,2,7,3,9,6,10,8] => 101010101 => 10

[[1,3],[2,6],[4,7],[5,8],[9,10]] => [9,10,5,8,4,7,2,6,1,3] => [2,1,6,3,7,4,9,5,10,8] => 101010101 => 10

[[1,3],[2,6],[4,7],[5,9],[8,10]] => [8,10,5,9,4,7,2,6,1,3] => [3,1,6,2,7,4,9,5,10,8] => 101010101 => 10

[[1,3],[2,6],[4,8],[5,9],[7,10]] => [7,10,5,9,4,8,2,6,1,3] => [4,1,6,2,7,3,9,5,10,8] => 101010101 => 10

[[1,3],[2,7],[4,8],[5,9],[6,10]] => [6,10,5,9,4,8,2,7,1,3] => [5,1,6,2,7,3,9,4,10,8] => 101010101 => 10

[[1,4],[2,5],[3,6],[7,8],[9,10]] => [9,10,7,8,3,6,2,5,1,4] => [2,1,4,3,8,5,9,6,10,7] => 101010101 => 10

[[1,4],[2,5],[3,6],[7,9],[8,10]] => [8,10,7,9,3,6,2,5,1,4] => [3,1,4,2,8,5,9,6,10,7] => 101010101 => 10

[[1,4],[2,5],[3,7],[6,8],[9,10]] => [9,10,6,8,3,7,2,5,1,4] => [2,1,5,3,8,4,9,6,10,7] => 101010101 => 10

[[1,4],[2,5],[3,7],[6,9],[8,10]] => [8,10,6,9,3,7,2,5,1,4] => [3,1,5,2,8,4,9,6,10,7] => 101010101 => 10

[[1,4],[2,5],[3,8],[6,9],[7,10]] => [7,10,6,9,3,8,2,5,1,4] => [4,1,5,2,8,3,9,6,10,7] => 101010101 => 10

[[1,4],[2,6],[3,7],[5,8],[9,10]] => [9,10,5,8,3,7,2,6,1,4] => [2,1,6,3,8,4,9,5,10,7] => 101010101 => 10

[[1,4],[2,6],[3,7],[5,9],[8,10]] => [8,10,5,9,3,7,2,6,1,4] => [3,1,6,2,8,4,9,5,10,7] => 101010101 => 10

[[1,4],[2,6],[3,8],[5,9],[7,10]] => [7,10,5,9,3,8,2,6,1,4] => [4,1,6,2,8,3,9,5,10,7] => 101010101 => 10

[[1,4],[2,7],[3,8],[5,9],[6,10]] => [6,10,5,9,3,8,2,7,1,4] => [5,1,6,2,8,3,9,4,10,7] => 101010101 => 10

[[1,5],[2,6],[3,7],[4,8],[9,10]] => [9,10,4,8,3,7,2,6,1,5] => [2,1,7,3,8,4,9,5,10,6] => 101010101 => 10

[[1,5],[2,6],[3,7],[4,9],[8,10]] => [8,10,4,9,3,7,2,6,1,5] => [3,1,7,2,8,4,9,5,10,6] => 101010101 => 10

[[1,5],[2,6],[3,8],[4,9],[7,10]] => [7,10,4,9,3,8,2,6,1,5] => [4,1,7,2,8,3,9,5,10,6] => 101010101 => 10

[[1,5],[2,7],[3,8],[4,9],[6,10]] => [6,10,4,9,3,8,2,7,1,5] => [5,1,7,2,8,3,9,4,10,6] => 101010101 => 10

[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,5,6,3,4,1,2] => [3,1,4,2,6,5,8,7,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,5,6,3,4,1,2] => [2,1,5,3,6,4,8,7,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,5,6,3,4,1,2] => [3,1,5,2,6,4,8,7,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,5,6,3,4,1,2] => [4,1,5,2,6,3,8,7,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,5,7,3,4,1,2] => [2,1,4,3,7,5,8,6,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,5,7,3,4,1,2] => [3,1,4,2,7,5,8,6,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,5,7,3,4,1,2] => [2,1,5,3,7,4,8,6,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,5,7,3,4,1,2] => [3,1,5,2,7,4,8,6,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,5,7,3,4,1,2] => [4,1,5,2,7,3,8,6,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,5,8,3,4,1,2] => [2,1,6,3,7,4,8,5,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,5,8,3,4,1,2] => [3,1,6,2,7,4,8,5,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,5,8,3,4,1,2] => [4,1,6,2,7,3,8,5,10,9,12,11] => 10101010101 => 15

[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,5,9,3,4,1,2] => [5,1,6,2,7,3,8,4,10,9,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,4,6,3,5,1,2] => [2,1,4,3,6,5,9,7,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,4,6,3,5,1,2] => [3,1,4,2,6,5,9,7,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,4,6,3,5,1,2] => [2,1,5,3,6,4,9,7,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,4,6,3,5,1,2] => [3,1,5,2,6,4,9,7,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,4,6,3,5,1,2] => [4,1,5,2,6,3,9,7,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,4,7,3,5,1,2] => [2,1,4,3,7,5,9,6,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,4,7,3,5,1,2] => [3,1,4,2,7,5,9,6,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,4,7,3,5,1,2] => [2,1,5,3,7,4,9,6,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,4,7,3,5,1,2] => [3,1,5,2,7,4,9,6,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,4,7,3,5,1,2] => [4,1,5,2,7,3,9,6,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,4,8,3,5,1,2] => [2,1,6,3,7,4,9,5,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,4,8,3,5,1,2] => [3,1,6,2,7,4,9,5,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,4,8,3,5,1,2] => [4,1,6,2,7,3,9,5,10,8,12,11] => 10101010101 => 15

[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,4,9,3,5,1,2] => [5,1,6,2,7,3,9,4,10,8,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,4,7,3,6,1,2] => [2,1,4,3,8,5,9,6,10,7,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,4,7,3,6,1,2] => [3,1,4,2,8,5,9,6,10,7,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,4,7,3,6,1,2] => [2,1,5,3,8,4,9,6,10,7,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,4,7,3,6,1,2] => [3,1,5,2,8,4,9,6,10,7,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,4,7,3,6,1,2] => [4,1,5,2,8,3,9,6,10,7,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,4,8,3,6,1,2] => [2,1,6,3,8,4,9,5,10,7,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,4,8,3,6,1,2] => [3,1,6,2,8,4,9,5,10,7,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,4,8,3,6,1,2] => [4,1,6,2,8,3,9,5,10,7,12,11] => 10101010101 => 15

[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,4,9,3,6,1,2] => [5,1,6,2,8,3,9,4,10,7,12,11] => 10101010101 => 15

[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,4,8,3,7,1,2] => [2,1,7,3,8,4,9,5,10,6,12,11] => 10101010101 => 15

[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,4,8,3,7,1,2] => [3,1,7,2,8,4,9,5,10,6,12,11] => 10101010101 => 15

[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,4,8,3,7,1,2] => [4,1,7,2,8,3,9,5,10,6,12,11] => 10101010101 => 15

[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,4,9,3,7,1,2] => [5,1,7,2,8,3,9,4,10,6,12,11] => 10101010101 => 15

[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,4,9,3,8,1,2] => [6,1,7,2,8,3,9,4,10,5,12,11] => 10101010101 => 15

[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,5,6,2,4,1,3] => [2,1,4,3,6,5,8,7,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,5,6,2,4,1,3] => [3,1,4,2,6,5,8,7,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,5,6,2,4,1,3] => [2,1,5,3,6,4,8,7,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,5,6,2,4,1,3] => [3,1,5,2,6,4,8,7,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,5,6,2,4,1,3] => [4,1,5,2,6,3,8,7,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,5,7,2,4,1,3] => [2,1,4,3,7,5,8,6,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,5,7,2,4,1,3] => [3,1,4,2,7,5,8,6,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,5,7,2,4,1,3] => [2,1,5,3,7,4,8,6,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,5,7,2,4,1,3] => [3,1,5,2,7,4,8,6,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,5,7,2,4,1,3] => [4,1,5,2,7,3,8,6,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,5,8,2,4,1,3] => [2,1,6,3,7,4,8,5,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,5,8,2,4,1,3] => [3,1,6,2,7,4,8,5,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,5,8,2,4,1,3] => [4,1,6,2,7,3,8,5,11,9,12,10] => 10101010101 => 15

[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,5,9,2,4,1,3] => [5,1,6,2,7,3,8,4,11,9,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,4,6,2,5,1,3] => [2,1,4,3,6,5,9,7,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,4,6,2,5,1,3] => [3,1,4,2,6,5,9,7,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,4,6,2,5,1,3] => [2,1,5,3,6,4,9,7,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,4,6,2,5,1,3] => [3,1,5,2,6,4,9,7,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,4,6,2,5,1,3] => [4,1,5,2,6,3,9,7,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,4,7,2,5,1,3] => [2,1,4,3,7,5,9,6,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,4,7,2,5,1,3] => [3,1,4,2,7,5,9,6,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,4,7,2,5,1,3] => [2,1,5,3,7,4,9,6,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,4,7,2,5,1,3] => [3,1,5,2,7,4,9,6,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,4,7,2,5,1,3] => [4,1,5,2,7,3,9,6,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,4,8,2,5,1,3] => [2,1,6,3,7,4,9,5,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,4,8,2,5,1,3] => [3,1,6,2,7,4,9,5,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,4,8,2,5,1,3] => [4,1,6,2,7,3,9,5,11,8,12,10] => 10101010101 => 15

[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,4,9,2,5,1,3] => [5,1,6,2,7,3,9,4,11,8,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,4,7,2,6,1,3] => [2,1,4,3,8,5,9,6,11,7,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,4,7,2,6,1,3] => [3,1,4,2,8,5,9,6,11,7,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,4,7,2,6,1,3] => [2,1,5,3,8,4,9,6,11,7,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,4,7,2,6,1,3] => [3,1,5,2,8,4,9,6,11,7,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,4,7,2,6,1,3] => [4,1,5,2,8,3,9,6,11,7,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,4,8,2,6,1,3] => [2,1,6,3,8,4,9,5,11,7,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,4,8,2,6,1,3] => [3,1,6,2,8,4,9,5,11,7,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,4,8,2,6,1,3] => [4,1,6,2,8,3,9,5,11,7,12,10] => 10101010101 => 15

[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,4,9,2,6,1,3] => [5,1,6,2,8,3,9,4,11,7,12,10] => 10101010101 => 15

[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,4,8,2,7,1,3] => [2,1,7,3,8,4,9,5,11,6,12,10] => 10101010101 => 15

[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,4,8,2,7,1,3] => [3,1,7,2,8,4,9,5,11,6,12,10] => 10101010101 => 15

[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,4,8,2,7,1,3] => [4,1,7,2,8,3,9,5,11,6,12,10] => 10101010101 => 15

[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,4,9,2,7,1,3] => [5,1,7,2,8,3,9,4,11,6,12,10] => 10101010101 => 15

[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,4,9,2,8,1,3] => [6,1,7,2,8,3,9,4,11,5,12,10] => 10101010101 => 15

[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,3,6,2,5,1,4] => [2,1,4,3,6,5,10,7,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,3,6,2,5,1,4] => [3,1,4,2,6,5,10,7,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,3,6,2,5,1,4] => [2,1,5,3,6,4,10,7,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,3,6,2,5,1,4] => [3,1,5,2,6,4,10,7,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,3,6,2,5,1,4] => [4,1,5,2,6,3,10,7,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,3,7,2,5,1,4] => [2,1,4,3,7,5,10,6,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,3,7,2,5,1,4] => [3,1,4,2,7,5,10,6,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,3,7,2,5,1,4] => [2,1,5,3,7,4,10,6,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,3,7,2,5,1,4] => [3,1,5,2,7,4,10,6,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,3,7,2,5,1,4] => [4,1,5,2,7,3,10,6,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,3,8,2,5,1,4] => [2,1,6,3,7,4,10,5,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,3,8,2,5,1,4] => [3,1,6,2,7,4,10,5,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,3,8,2,5,1,4] => [4,1,6,2,7,3,10,5,11,8,12,9] => 10101010101 => 15

[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,3,9,2,5,1,4] => [5,1,6,2,7,3,10,4,11,8,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,3,7,2,6,1,4] => [2,1,4,3,8,5,10,6,11,7,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,3,7,2,6,1,4] => [3,1,4,2,8,5,10,6,11,7,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,3,7,2,6,1,4] => [2,1,5,3,8,4,10,6,11,7,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,3,7,2,6,1,4] => [3,1,5,2,8,4,10,6,11,7,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,3,7,2,6,1,4] => [4,1,5,2,8,3,10,6,11,7,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,3,8,2,6,1,4] => [2,1,6,3,8,4,10,5,11,7,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,3,8,2,6,1,4] => [3,1,6,2,8,4,10,5,11,7,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,3,8,2,6,1,4] => [4,1,6,2,8,3,10,5,11,7,12,9] => 10101010101 => 15

[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,3,9,2,6,1,4] => [5,1,6,2,8,3,10,4,11,7,12,9] => 10101010101 => 15

[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,3,8,2,7,1,4] => [2,1,7,3,8,4,10,5,11,6,12,9] => 10101010101 => 15

[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,3,8,2,7,1,4] => [3,1,7,2,8,4,10,5,11,6,12,9] => 10101010101 => 15

[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,3,8,2,7,1,4] => [4,1,7,2,8,3,10,5,11,6,12,9] => 10101010101 => 15

[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,3,9,2,7,1,4] => [5,1,7,2,8,3,10,4,11,6,12,9] => 10101010101 => 15

[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,3,9,2,8,1,4] => [6,1,7,2,8,3,10,4,11,5,12,9] => 10101010101 => 15

[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]] => [11,12,9,10,4,8,3,7,2,6,1,5] => [2,1,4,3,9,5,10,6,11,7,12,8] => 10101010101 => 15

[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]] => [10,12,9,11,4,8,3,7,2,6,1,5] => [3,1,4,2,9,5,10,6,11,7,12,8] => 10101010101 => 15

[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]] => [11,12,8,10,4,9,3,7,2,6,1,5] => [2,1,5,3,9,4,10,6,11,7,12,8] => 10101010101 => 15

[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]] => [10,12,8,11,4,9,3,7,2,6,1,5] => [3,1,5,2,9,4,10,6,11,7,12,8] => 10101010101 => 15

[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]] => [9,12,8,11,4,10,3,7,2,6,1,5] => [4,1,5,2,9,3,10,6,11,7,12,8] => 10101010101 => 15

[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]] => [11,12,7,10,4,9,3,8,2,6,1,5] => [2,1,6,3,9,4,10,5,11,7,12,8] => 10101010101 => 15

[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]] => [10,12,7,11,4,9,3,8,2,6,1,5] => [3,1,6,2,9,4,10,5,11,7,12,8] => 10101010101 => 15

[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]] => [9,12,7,11,4,10,3,8,2,6,1,5] => [4,1,6,2,9,3,10,5,11,7,12,8] => 10101010101 => 15

[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]] => [8,12,7,11,4,10,3,9,2,6,1,5] => [5,1,6,2,9,3,10,4,11,7,12,8] => 10101010101 => 15

[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]] => [11,12,6,10,4,9,3,8,2,7,1,5] => [2,1,7,3,9,4,10,5,11,6,12,8] => 10101010101 => 15

[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]] => [10,12,6,11,4,9,3,8,2,7,1,5] => [3,1,7,2,9,4,10,5,11,6,12,8] => 10101010101 => 15

[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]] => [9,12,6,11,4,10,3,8,2,7,1,5] => [4,1,7,2,9,3,10,5,11,6,12,8] => 10101010101 => 15

[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]] => [8,12,6,11,4,10,3,9,2,7,1,5] => [5,1,7,2,9,3,10,4,11,6,12,8] => 10101010101 => 15

[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]] => [7,12,6,11,4,10,3,9,2,8,1,5] => [6,1,7,2,9,3,10,4,11,5,12,8] => 10101010101 => 15

[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]] => [11,12,5,10,4,9,3,8,2,7,1,6] => [2,1,8,3,9,4,10,5,11,6,12,7] => 10101010101 => 15

[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]] => [10,12,5,11,4,9,3,8,2,7,1,6] => [3,1,8,2,9,4,10,5,11,6,12,7] => 10101010101 => 15

[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]] => [9,12,5,11,4,10,3,8,2,7,1,6] => [4,1,8,2,9,3,10,5,11,6,12,7] => 10101010101 => 15

[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]] => [8,12,5,11,4,10,3,9,2,7,1,6] => [5,1,8,2,9,3,10,4,11,6,12,7] => 10101010101 => 15

[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]] => [7,12,5,11,4,10,3,9,2,8,1,6] => [6,1,8,2,9,3,10,4,11,5,12,7] => 10101010101 => 15

[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => [6,12,5,11,4,10,3,9,2,8,1,7] => [7,1,8,2,9,3,10,4,11,5,12,6] => 10101010101 => 15

[[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => [2,9,8,7,6,5,4,3,1] => 01111111 => 0

[[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => [3,2,9,8,7,6,5,4,1] => 10111111 => 1

[[1,2,3,4,5,6,9],[7],[8]] => [8,7,1,2,3,4,5,6,9] => [2,3,9,8,7,6,5,4,1] => 00111111 => 0

[[1,2,3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3,9] => [2,3,4,5,6,9,8,7,1] => 00000111 => 0

[[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => [2,3,4,5,6,7,9,8,1] => 00000011 => 0

[[1,3],[2,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,9,1,3] => [2,3,4,5,6,8,1,9,7] => 00000101 => 1

[[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => [2,10,9,8,7,6,5,4,3,1] => 011111111 => 0

[[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => [3,2,10,9,8,7,6,5,4,1] => 101111111 => 1

[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3,10] => [2,3,4,5,6,7,10,9,8,1] => 000000111 => 0

[[1,2,10],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2,10] => [2,4,3,6,5,8,7,10,9,1] => 010101011 => 6

[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2,10] => [2,3,4,5,6,7,8,10,9,1] => 000000011 => 0

[[1,3],[2,10],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,10,1,3] => [2,3,4,5,6,7,9,1,10,8] => 000000101 => 1

[[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => [7,9,8,6,5,4,3,2,1] => 01111111 => 0

[[1,6,8,9],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8,9] => [3,5,6,7,8,9,4,2,1] => 00000111 => 0

[[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => [2,4,5,6,7,8,9,3,1] => 00000011 => 0

[[1,4],[2,6],[3,8],[5],[7],[9]] => [9,7,5,3,8,2,6,1,4] => [1,3,5,7,2,8,4,9,6] => 00010101 => 3

[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => [1,3,4,5,6,7,8,9,2] => 00000001 => 0

[[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => [8,10,9,7,6,5,4,3,2,1] => 011111111 => 0

[[1,2,8],[3,4],[5,6],[7,9],[10]] => [10,7,9,5,6,3,4,1,2,8] => [1,4,2,6,5,8,7,10,9,3] => 010101011 => 6

[[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8,10] => [2,4,5,6,7,8,9,10,3,1] => 000000011 => 0

[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => [1,3,4,5,6,7,8,9,10,2] => 000000001 => 0

[[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => [8,1,9,7,6,5,4,3,2] => 10111111 => 1

[[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => [1,8,9,7,6,5,4,3,2] => 00111111 => 0

[[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => [1,2,3,4,5,8,9,7,6] => 00000011 => 0

[[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,8,9,7] => 00000001 => 0

[[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => [9,1,10,8,7,6,5,4,3,2] => 101111111 => 1

[[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => [1,9,10,8,7,6,5,4,3,2] => 001111111 => 0

[[1,3,4,5,6,7,8],[2,9,10]] => [2,9,10,1,3,4,5,6,7,8] => [9,2,1,10,8,7,6,5,4,3] => 110111111 => 2

[[1,3,4,5],[2,7,8],[6,10],[9]] => [9,6,10,2,7,8,1,3,4,5] => [2,5,1,9,4,3,10,8,7,6] => 010110111 => 4

[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,7,9,10,8] => 000000001 => 0

[[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => [7,10,9,8,6,5,4,3,2,1] => 011111111 => 0

[[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => [6,10,9,8,7,5,4,3,2,1] => 011111111 => 0

[[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => [3,10,9,8,7,6,5,4,2,1] => 011111111 => 0

[[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => [4,10,9,8,7,6,5,3,2,1] => 011111111 => 0

[[1,2,3,4,5,7,8,9,10],[6]] => [6,1,2,3,4,5,7,8,9,10] => [5,10,9,8,7,6,4,3,2,1] => 011111111 => 0

[[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => [1,7,6,9,8,5,4,3,2] => 01011111 => 1

[[1,4,5,6,7,8],[2],[3],[9]] => [9,3,2,1,4,5,6,7,8] => [1,7,8,9,6,5,4,3,2] => 00011111 => 0

[[1,5,6,7,8],[2],[3],[4],[9]] => [9,4,3,2,1,5,6,7,8] => [1,6,7,8,9,5,4,3,2] => 00001111 => 0

[[1,6,7,8],[2],[3],[4],[5],[9]] => [9,5,4,3,2,1,6,7,8] => [1,5,6,7,8,9,4,3,2] => 00000111 => 0

[[1,3,8],[2,5],[4,7],[6,9]] => [6,9,4,7,2,5,1,3,8] => [4,1,6,3,8,5,9,7,2] => 10101011 => 6

[[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => [1,4,5,6,7,8,9,3,2] => 00000011 => 0

[[1,4,5,6,7,8,9],[2],[3],[10]] => [10,3,2,1,4,5,6,7,8,9] => [1,8,9,10,7,6,5,4,3,2] => 000111111 => 0

[[1,5,6,7,8,9],[2],[3],[4],[10]] => [10,4,3,2,1,5,6,7,8,9] => [1,7,8,9,10,6,5,4,3,2] => 000011111 => 0

[[1,2,3,4,9],[5,6,7,8],[10]] => [10,5,6,7,8,1,2,3,4,9] => [1,6,5,4,3,10,9,8,7,2] => 011101111 => 3

[[1,6,7,8,9],[2],[3],[4],[5],[10]] => [10,5,4,3,2,1,6,7,8,9] => [1,6,7,8,9,10,5,4,3,2] => 000001111 => 0

[[1,2,5,9],[3,4,8],[6,7],[10]] => [10,6,7,3,4,8,1,2,5,9] => [1,5,4,8,7,3,10,9,6,2] => 010110111 => 4

[[1,7,8,9],[2],[3],[4],[5],[6],[10]] => [10,6,5,4,3,2,1,7,8,9] => [1,5,6,7,8,9,10,4,3,2] => 000000111 => 0

[[1,2,9],[3,4],[5,6],[7,8],[10]] => [10,7,8,5,6,3,4,1,2,9] => [1,4,3,6,5,8,7,10,9,2] => 010101011 => 6

[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [10,7,6,5,4,3,2,1,8,9] => [1,4,5,6,7,8,9,10,3,2] => 000000011 => 0

[[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => [6,7,9,8,5,4,3,2,1] => 00111111 => 0

[[1,2,6,7,8,9],[3],[4],[5]] => [5,4,3,1,2,6,7,8,9] => [5,6,7,9,8,4,3,2,1] => 00011111 => 0

[[1,2,7,8,9],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9] => [4,5,6,7,9,8,3,2,1] => 00001111 => 0

[[1,2],[3,6],[4,8],[5],[7],[9]] => [9,7,5,4,8,3,6,1,2] => [1,3,5,6,2,7,4,9,8] => 00010101 => 3

[[1,2,5,6,7,8,9,10],[3],[4]] => [4,3,1,2,5,6,7,8,9,10] => [7,8,10,9,6,5,4,3,2,1] => 001111111 => 0

[[1,2,7,8,9,10],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9,10] => [5,6,7,8,10,9,4,3,2,1] => 000011111 => 0

[[1,2,8,9,10],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8,9,10] => [4,5,6,7,8,10,9,3,2,1] => 000001111 => 0

[[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => [3,6,2,8,5,1,10,9,7,4] => 010110111 => 4

[[1,2,4,5,6,7,8,9],[3],[10]] => [10,3,1,2,4,5,6,7,8,9] => [1,8,10,9,7,6,5,4,3,2] => 001111111 => 0

[[1,4],[2,6],[3,9],[5],[7],[8],[10]] => [10,8,7,5,3,9,2,6,1,4] => [1,3,4,6,8,2,9,5,10,7] => 000010101 => 3

[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,2,1,4] => [1,2,3,4,5,6,8,9,10,7] => 000000001 => 0

[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => [1,2,3,4,5,7,8,9,10,6] => 000000001 => 0

[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => [1,2,4,5,6,7,8,9,10,3] => 000000001 => 0

[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => [1,2,3,5,6,7,8,9,10,4] => 000000001 => 0

[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => [10,9,8,7,5,4,3,2,1,6] => [1,2,3,4,6,7,8,9,10,5] => 000000001 => 0

[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]] => [12,10,9,8,7,6,5,4,3,2,1,11] => [1,3,4,5,6,7,8,9,10,11,12,2] => 00000000001 => 0

[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]] => [12,11,10,9,8,6,5,4,3,2,1,7] => [1,2,3,4,5,7,8,9,10,11,12,6] => 00000000001 => 0

[[1,2,4],[3],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,1,2,4] => [1,2,3,4,5,7,9,8,6] => 00000011 => 0

[[1,2,3,5],[4],[6],[7],[8],[9]] => [9,8,7,6,4,1,2,3,5] => [1,2,3,4,6,9,8,7,5] => 00000111 => 0

[[1,2],[3,4],[5,6],[7,9],[8]] => [8,7,9,5,6,3,4,1,2] => [2,3,1,5,4,7,6,9,8] => 01010101 => 6

[[1,2,3,4,6],[5],[7],[8],[9]] => [9,8,7,5,1,2,3,4,6] => [1,2,3,5,9,8,7,6,4] => 00001111 => 0

[[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => [1,2,4,9,8,7,6,5,3] => 00011111 => 0

[[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => [1,3,9,8,7,6,5,4,2] => 00111111 => 0

[[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => [4,2,9,8,7,6,5,3,1] => 10111111 => 1

[[1,2,4],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,1,2,4] => [1,2,3,4,5,6,8,10,9,7] => 000000011 => 0

[[1,2,3,5],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,1,2,3,5] => [1,2,3,4,5,7,10,9,8,6] => 000000111 => 0

[[1,2],[3,4],[5,6],[7,9],[8],[10]] => [10,8,7,9,5,6,3,4,1,2] => [1,3,4,2,6,5,8,7,10,9] => 001010101 => 6

[[1,2,3,4,6],[5],[7],[8],[9],[10]] => [10,9,8,7,5,1,2,3,4,6] => [1,2,3,4,6,10,9,8,7,5] => 000001111 => 0

[[1,2,3,4,5,7],[6],[8],[9],[10]] => [10,9,8,6,1,2,3,4,5,7] => [1,2,3,5,10,9,8,7,6,4] => 000011111 => 0

[[1,2,3,4,5,6,8],[7],[9],[10]] => [10,9,7,1,2,3,4,5,6,8] => [1,2,4,10,9,8,7,6,5,3] => 000111111 => 0

[[1,2,3,4,5,6,7,9],[8],[10]] => [10,8,1,2,3,4,5,6,7,9] => [1,3,10,9,8,7,6,5,4,2] => 001111111 => 0

[[1,2,8],[3,9],[4],[5],[6],[7]] => [7,6,5,4,3,9,1,2,8] => [3,4,5,6,7,1,9,8,2] => 00001011 => 1

[[1,3,4,9],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4,9] => [2,3,4,5,8,9,7,6,1] => 00000111 => 0

[[1,3,10],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3,10] => [2,3,4,5,6,7,9,10,8,1] => 000000011 => 0

[[1,3,4,9],[2,10],[5],[6],[7],[8]] => [8,7,6,5,2,10,1,3,4,9] => [3,4,5,6,9,1,10,8,7,2] => 000010111 => 1

[[1,6],[2,8],[3,9],[4],[5],[7]] => [7,5,4,3,9,2,8,1,6] => [3,5,6,7,1,8,2,9,4] => 00010101 => 3

[[1,7],[2,8],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,8,1,7] => [1,4,5,6,7,8,2,9,3] => 00000101 => 1

[[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => [7,1,9,8,6,5,4,3,2] => 10111111 => 1

[[1,2,4,5,6,7,8,9],[3,10]] => [3,10,1,2,4,5,6,7,8,9] => [8,1,10,9,7,6,5,4,3,2] => 101111111 => 1

[[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => [2,3,4,5,6,7,1,9,8] => 00000101 => 1

[[1,2],[3,8],[4,9],[5],[6],[7]] => [7,6,5,4,9,3,8,1,2] => [3,4,5,6,1,7,2,9,8] => 00010101 => 3

[[1,2],[3,10],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,10,1,2] => [2,3,4,5,6,7,8,1,10,9] => 000000101 => 1

[[1,2],[3,9],[4,10],[5],[6],[7],[8]] => [8,7,6,5,4,10,3,9,1,2] => [3,4,5,6,7,1,8,2,10,9] => 000010101 => 3

[[1,2,3],[4,9],[5],[6],[7],[8]] => [8,7,6,5,4,9,1,2,3] => [2,3,4,5,6,1,9,8,7] => 00001011 => 1

[[1,2,3,4],[5,9],[6],[7],[8]] => [8,7,6,5,9,1,2,3,4] => [2,3,4,5,1,9,8,7,6] => 00010111 => 1

[[1,4,9],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4,9] => [4,2,7,3,8,5,9,6,1] => 10101011 => 6

[[1,2,3,4,5,6],[7,9],[8]] => [8,7,9,1,2,3,4,5,6] => [2,3,1,9,8,7,6,5,4] => 01011111 => 1

[[1,3],[2,4],[5,9],[6],[7],[8]] => [8,7,6,5,9,2,4,1,3] => [2,3,4,5,1,8,6,9,7] => 00010101 => 3

[[1,4],[2,5],[3],[6],[7],[8],[9]] => [9,8,7,6,3,2,5,1,4] => [1,2,3,4,7,8,5,9,6] => 00000101 => 1

[[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => [8,2,9,7,6,5,4,3,1] => 10111111 => 1

[[1,2,3,4,5,6,8,9],[7,10]] => [7,10,1,2,3,4,5,6,8,9] => [4,1,10,9,8,7,6,5,3,2] => 101111111 => 1

[[1,2,3,4,5,7,8],[6,9]] => [6,9,1,2,3,4,5,7,8] => [4,1,9,8,7,6,5,3,2] => 10111111 => 1

[[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => [3,7,2,9,6,1,10,8,5,4] => 010110111 => 4

search for individual values

searching the database for the individual values of this statistic

/ search for generating function

searching the database for statistics with the same generating function

click to show known generating functions

Description

The number of inversions of a binary word.

Map

complement

Description

Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$

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.