Identifier
Values
[1] => [1] => [[1]] => [1] => 0
[1,2] => [2] => [[1,2]] => [1,2] => 0
[2,1] => [1,1] => [[1],[2]] => [2,1] => 1
[1,2,3] => [3] => [[1,2,3]] => [1,2,3] => 0
[1,3,2] => [2,1] => [[1,3],[2]] => [2,1,3] => 1
[2,1,3] => [2,1] => [[1,3],[2]] => [2,1,3] => 1
[2,3,1] => [2,1] => [[1,3],[2]] => [2,1,3] => 1
[3,1,2] => [2,1] => [[1,3],[2]] => [2,1,3] => 1
[3,2,1] => [1,1,1] => [[1],[2],[3]] => [3,2,1] => 2
[1,2,3,4] => [4] => [[1,2,3,4]] => [1,2,3,4] => 0
[1,2,4,3] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[1,3,2,4] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[1,3,4,2] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[1,4,2,3] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[1,4,3,2] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[2,1,3,4] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[2,1,4,3] => [2,2] => [[1,2],[3,4]] => [3,4,1,2] => 1
[2,3,1,4] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[2,3,4,1] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[2,4,1,3] => [2,2] => [[1,2],[3,4]] => [3,4,1,2] => 1
[2,4,3,1] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[3,1,2,4] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[3,1,4,2] => [2,2] => [[1,2],[3,4]] => [3,4,1,2] => 1
[3,2,1,4] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[3,2,4,1] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[3,4,1,2] => [2,2] => [[1,2],[3,4]] => [3,4,1,2] => 1
[3,4,2,1] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[4,1,2,3] => [3,1] => [[1,3,4],[2]] => [2,1,3,4] => 1
[4,1,3,2] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[4,2,1,3] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[4,2,3,1] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[4,3,1,2] => [2,1,1] => [[1,4],[2],[3]] => [3,2,1,4] => 2
[4,3,2,1] => [1,1,1,1] => [[1],[2],[3],[4]] => [4,3,2,1] => 3
[1,2,3,4,5] => [5] => [[1,2,3,4,5]] => [1,2,3,4,5] => 0
[1,2,3,5,4] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,2,4,3,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,2,4,5,3] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,2,5,3,4] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,2,5,4,3] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,3,2,4,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,3,2,5,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[1,3,4,2,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,3,4,5,2] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,3,5,2,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[1,3,5,4,2] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,4,2,3,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,4,2,5,3] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[1,4,3,2,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,4,3,5,2] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,4,5,2,3] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[1,4,5,3,2] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,5,2,3,4] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[1,5,2,4,3] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,5,3,2,4] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,5,3,4,2] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,5,4,2,3] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[1,5,4,3,2] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[2,1,3,4,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[2,1,3,5,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,1,4,3,5] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,1,4,5,3] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,1,5,3,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,1,5,4,3] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[2,3,1,4,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[2,3,1,5,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,3,4,1,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[2,3,4,5,1] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[2,3,5,1,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,3,5,4,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[2,4,1,3,5] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,4,1,5,3] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,4,3,1,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[2,4,3,5,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[2,4,5,1,3] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,4,5,3,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[2,5,1,3,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[2,5,1,4,3] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[2,5,3,1,4] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[2,5,3,4,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[2,5,4,1,3] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[2,5,4,3,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[3,1,2,4,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[3,1,2,5,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[3,1,4,2,5] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[3,1,4,5,2] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[3,1,5,2,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[3,1,5,4,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[3,2,1,4,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[3,2,1,5,4] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[3,2,4,1,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[3,2,4,5,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[3,2,5,1,4] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[3,2,5,4,1] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[3,4,1,2,5] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[3,4,1,5,2] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[3,4,2,1,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[3,4,2,5,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[3,4,5,1,2] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[3,4,5,2,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[3,5,1,2,4] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[3,5,1,4,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
>>> Load all 874 entries. <<<
[3,5,2,1,4] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[3,5,2,4,1] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[3,5,4,1,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[3,5,4,2,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[4,1,2,3,5] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[4,1,2,5,3] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[4,1,3,2,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[4,1,3,5,2] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[4,1,5,2,3] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[4,1,5,3,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,2,1,3,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[4,2,1,5,3] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,2,3,1,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[4,2,3,5,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[4,2,5,1,3] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,2,5,3,1] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,3,1,2,5] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[4,3,1,5,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,3,2,1,5] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[4,3,2,5,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[4,3,5,1,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,3,5,2,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[4,5,1,2,3] => [3,2] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
[4,5,1,3,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,5,2,1,3] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,5,2,3,1] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,5,3,1,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,5,3,2,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,1,2,3,4] => [4,1] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 1
[5,1,2,4,3] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,1,3,2,4] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,1,3,4,2] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,1,4,2,3] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,1,4,3,2] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,2,1,3,4] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,2,1,4,3] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[5,2,3,1,4] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,2,3,4,1] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,2,4,1,3] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[5,2,4,3,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,3,1,2,4] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,3,1,4,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[5,3,2,1,4] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,3,2,4,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,3,4,1,2] => [2,2,1] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[5,3,4,2,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,4,1,2,3] => [3,1,1] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,4,1,3,2] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,4,2,1,3] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,4,2,3,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,4,3,1,2] => [2,1,1,1] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 3
[5,4,3,2,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [5,4,3,2,1] => 4
[1,2,3,4,5,6] => [6] => [[1,2,3,4,5,6]] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,3,5,4,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,3,5,6,4] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,3,6,4,5] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,3,6,5,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,4,3,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,4,3,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,2,4,5,3,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,4,5,6,3] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,4,6,3,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,2,4,6,5,3] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,5,3,4,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,5,3,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,2,5,4,3,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,5,4,6,3] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,5,6,3,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,2,5,6,4,3] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,6,3,4,5] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,2,6,3,5,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,6,4,3,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,6,4,5,3] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,6,5,3,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,2,6,5,4,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,3,2,4,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,3,2,4,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,2,5,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,2,5,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,2,6,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,2,6,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,3,4,2,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,3,4,2,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,4,5,2,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,3,4,5,6,2] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,3,4,6,2,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,4,6,5,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,3,5,2,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,5,2,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,5,4,2,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,3,5,4,6,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,3,5,6,2,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,5,6,4,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,3,6,2,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,3,6,2,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,3,6,4,2,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,3,6,4,5,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,3,6,5,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,3,6,5,4,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,4,2,3,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,4,2,3,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,4,2,5,3,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,4,2,5,6,3] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,4,2,6,3,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,4,2,6,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,4,3,2,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,4,3,2,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,4,3,5,2,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,4,3,5,6,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,4,3,6,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,4,3,6,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,4,5,2,3,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,4,5,2,6,3] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,4,5,3,2,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,4,5,3,6,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,4,5,6,2,3] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,4,5,6,3,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,4,6,2,3,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,4,6,2,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,4,6,3,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,4,6,3,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,4,6,5,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,4,6,5,3,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,5,2,3,4,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,5,2,3,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,5,2,4,3,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,5,2,4,6,3] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,5,2,6,3,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,5,2,6,4,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,3,2,4,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,5,3,2,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,3,4,2,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,5,3,4,6,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,5,3,6,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,3,6,4,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,4,2,3,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,5,4,2,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,4,3,2,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,5,4,3,6,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,5,4,6,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,4,6,3,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,5,6,2,3,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[1,5,6,2,4,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,6,3,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,6,3,4,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,6,4,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,5,6,4,3,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,2,3,4,5] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[1,6,2,3,5,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,2,4,3,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,2,4,5,3] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,2,5,3,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,2,5,4,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,3,2,4,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,3,2,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,6,3,4,2,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,3,4,5,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,3,5,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,6,3,5,4,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,4,2,3,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,4,2,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,6,4,3,2,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,4,3,5,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,4,5,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[1,6,4,5,3,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,5,2,3,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[1,6,5,2,4,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,5,3,2,4] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,5,3,4,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,5,4,2,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[1,6,5,4,3,2] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[2,1,3,4,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[2,1,3,4,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,3,5,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,3,5,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,3,6,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,3,6,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,4,3,5,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,4,3,6,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,1,4,5,3,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,4,5,6,3] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,4,6,3,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,1,4,6,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,5,3,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,5,3,6,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,1,5,4,3,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,5,4,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,5,6,3,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,1,5,6,4,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,6,3,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,1,6,3,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,6,4,3,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,6,4,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,6,5,3,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,1,6,5,4,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[2,3,1,4,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[2,3,1,4,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,1,5,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,1,5,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,1,6,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,1,6,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,3,4,1,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[2,3,4,1,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,4,5,1,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[2,3,4,5,6,1] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[2,3,4,6,1,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,4,6,5,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,3,5,1,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,5,1,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,5,4,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,3,5,4,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,3,5,6,1,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,5,6,4,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,3,6,1,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,3,6,1,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,3,6,4,1,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,3,6,4,5,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,3,6,5,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,3,6,5,4,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,4,1,3,5,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,4,1,3,6,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,4,1,5,3,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,4,1,5,6,3] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,4,1,6,3,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,4,1,6,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,4,3,1,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,4,3,1,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,4,3,5,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,4,3,5,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,4,3,6,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,4,3,6,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,4,5,1,3,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,4,5,1,6,3] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,4,5,3,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,4,5,3,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,4,5,6,1,3] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,4,5,6,3,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,4,6,1,3,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,4,6,1,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,4,6,3,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,4,6,3,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,4,6,5,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,4,6,5,3,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,5,1,3,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,5,1,3,6,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,5,1,4,3,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,1,4,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,1,6,3,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,5,1,6,4,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,3,1,4,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,5,3,1,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,3,4,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,5,3,4,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,5,3,6,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,3,6,4,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,4,1,3,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,4,1,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,4,3,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,5,4,3,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,5,4,6,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,4,6,3,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,5,6,1,3,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[2,5,6,1,4,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,6,3,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,6,3,4,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,6,4,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,5,6,4,3,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,6,1,3,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[2,6,1,3,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,1,4,3,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,1,4,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,1,5,3,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,1,5,4,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[2,6,3,1,4,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,6,3,1,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,3,4,1,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,6,3,4,5,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[2,6,3,5,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,3,5,4,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,6,4,1,3,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,4,1,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,4,3,1,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,6,4,3,5,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,6,4,5,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,4,5,3,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,6,5,1,3,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[2,6,5,1,4,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[2,6,5,3,1,4] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,6,5,3,4,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[2,6,5,4,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[2,6,5,4,3,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[3,1,2,4,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[3,1,2,4,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,2,5,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,2,5,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,2,6,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,2,6,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,4,2,5,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,4,2,6,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,1,4,5,2,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,4,5,6,2] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,4,6,2,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,1,4,6,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,5,2,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,5,2,6,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,1,5,4,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,5,4,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,5,6,2,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,1,5,6,4,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,6,2,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,1,6,2,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,6,4,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,6,4,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,6,5,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,1,6,5,4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[3,2,1,4,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,2,1,4,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,1,5,4,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,1,5,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,1,6,4,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,1,6,5,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[3,2,4,1,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,2,4,1,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,4,5,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,2,4,5,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,2,4,6,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,4,6,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,5,1,4,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,5,1,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,5,4,1,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,5,4,6,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,5,6,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,5,6,4,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,6,1,4,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,6,1,5,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[3,2,6,4,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,6,4,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,2,6,5,1,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[3,2,6,5,4,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[3,4,1,2,5,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,4,1,2,6,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,4,1,5,2,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,4,1,5,6,2] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,4,1,6,2,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,4,1,6,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,4,2,1,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,4,2,1,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,4,2,5,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,4,2,5,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,4,2,6,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,4,2,6,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,4,5,1,2,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,4,5,1,6,2] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,4,5,2,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,4,5,2,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,4,5,6,1,2] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,4,5,6,2,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[3,4,6,1,2,5] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,4,6,1,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,4,6,2,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,4,6,2,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,4,6,5,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,4,6,5,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[3,5,1,2,4,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,5,1,2,6,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,5,1,4,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,1,4,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,1,6,2,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,5,1,6,4,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,2,1,4,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,2,1,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,2,4,1,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,2,4,6,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,2,6,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,2,6,4,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,4,1,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,4,1,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,4,2,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[3,5,4,2,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[3,5,4,6,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,4,6,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[3,5,6,1,2,4] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[3,5,6,1,4,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,6,2,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,6,2,4,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,6,4,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,5,6,4,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[3,6,1,2,4,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[3,6,1,2,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,1,4,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,1,4,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,1,5,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,1,5,4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[3,6,2,1,4,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,2,1,5,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[3,6,2,4,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,2,4,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,2,5,1,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[3,6,2,5,4,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[3,6,4,1,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,4,1,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,4,2,1,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[3,6,4,2,5,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[3,6,4,5,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,4,5,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[3,6,5,1,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[3,6,5,1,4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[3,6,5,2,1,4] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[3,6,5,2,4,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[3,6,5,4,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[3,6,5,4,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[4,1,2,3,5,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[4,1,2,3,6,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[4,1,2,5,3,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[4,1,2,5,6,3] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[4,1,2,6,3,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[4,1,2,6,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,3,2,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[4,1,3,2,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,3,5,2,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[4,1,3,5,6,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[4,1,3,6,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,3,6,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,5,2,3,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[4,1,5,2,6,3] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[4,1,5,3,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,5,3,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,5,6,2,3] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[4,1,5,6,3,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,6,2,3,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[4,1,6,2,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,6,3,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,6,3,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,6,5,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,1,6,5,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,2,1,3,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[4,2,1,3,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,1,5,3,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,1,5,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,1,6,3,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,1,6,5,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,2,3,1,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[4,2,3,1,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,3,5,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[4,2,3,5,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[4,2,3,6,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,3,6,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,5,1,3,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,5,1,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,5,3,1,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,5,3,6,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,5,6,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,5,6,3,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,6,1,3,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,6,1,5,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,2,6,3,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,6,3,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,2,6,5,1,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,2,6,5,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,3,1,2,5,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[4,3,1,2,6,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,3,1,5,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,3,1,5,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,3,1,6,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,3,1,6,5,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,3,2,1,5,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,3,2,1,6,5] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,3,2,5,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,3,2,5,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,3,2,6,1,5] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,3,2,6,5,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,3,5,1,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,3,5,1,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,3,5,2,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,3,5,2,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,3,5,6,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,3,5,6,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,3,6,1,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,3,6,1,5,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,3,6,2,1,5] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,3,6,2,5,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,3,6,5,1,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,3,6,5,2,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,5,1,2,3,6] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[4,5,1,2,6,3] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[4,5,1,3,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,1,3,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,1,6,2,3] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[4,5,1,6,3,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,2,1,3,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,2,1,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,2,3,1,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,2,3,6,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,2,6,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,2,6,3,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,3,1,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,3,1,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,3,2,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,5,3,2,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,5,3,6,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,3,6,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,5,6,1,2,3] => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
[4,5,6,1,3,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,6,2,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,6,2,3,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,6,3,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,5,6,3,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[4,6,1,2,3,5] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[4,6,1,2,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,1,3,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,1,3,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,1,5,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,1,5,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,2,1,3,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,2,1,5,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,6,2,3,1,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,2,3,5,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,2,5,1,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,6,2,5,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,3,1,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,3,1,5,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,6,3,2,1,5] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,3,2,5,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,3,5,1,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,6,3,5,2,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,5,1,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[4,6,5,1,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,5,2,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,5,2,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,5,3,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[4,6,5,3,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[5,1,2,3,4,6] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[5,1,2,3,6,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[5,1,2,4,3,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,1,2,4,6,3] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,1,2,6,3,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[5,1,2,6,4,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,3,2,4,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,1,3,2,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,3,4,2,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,1,3,4,6,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,1,3,6,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,3,6,4,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,4,2,3,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,1,4,2,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,4,3,2,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,1,4,3,6,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,1,4,6,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,4,6,3,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,1,6,2,3,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[5,1,6,2,4,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,6,3,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,6,3,4,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,6,4,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,1,6,4,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,2,1,3,4,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,2,1,3,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,1,4,3,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,1,4,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,1,6,3,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,1,6,4,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,2,3,1,4,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,2,3,1,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,3,4,1,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,2,3,4,6,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,2,3,6,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,3,6,4,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,4,1,3,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,4,1,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,4,3,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,2,4,3,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,2,4,6,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,4,6,3,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,2,6,1,3,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,6,1,4,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,2,6,3,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,6,3,4,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,2,6,4,1,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,2,6,4,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,3,1,2,4,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,3,1,2,6,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,3,1,4,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,3,1,4,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,3,1,6,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,3,1,6,4,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,3,2,1,4,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,3,2,1,6,4] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,3,2,4,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,3,2,4,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,3,2,6,1,4] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,3,2,6,4,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,3,4,1,2,6] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,3,4,1,6,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,3,4,2,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,3,4,2,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,3,4,6,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,3,4,6,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,3,6,1,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,3,6,1,4,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,3,6,2,1,4] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,3,6,2,4,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,3,6,4,1,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,3,6,4,2,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,1,2,3,6] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[5,4,1,2,6,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,4,1,3,2,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,4,1,3,6,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,4,1,6,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,4,1,6,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,2,1,3,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,4,2,1,6,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,2,3,1,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,4,2,3,6,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,4,2,6,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,2,6,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,3,1,2,6] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[5,4,3,1,6,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,3,2,1,6] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[5,4,3,2,6,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[5,4,3,6,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,3,6,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[5,4,6,1,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,4,6,1,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,6,2,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,6,2,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,6,3,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,4,6,3,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[5,6,1,2,3,4] => [4,2] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
[5,6,1,2,4,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,1,3,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,1,3,4,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,1,4,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,1,4,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,2,1,3,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,2,1,4,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,6,2,3,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,2,3,4,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,2,4,1,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,6,2,4,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,3,1,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,3,1,4,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,6,3,2,1,4] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,3,2,4,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,3,4,1,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,6,3,4,2,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,4,1,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[5,6,4,1,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,4,2,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,4,2,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,4,3,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[5,6,4,3,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,1,2,3,4,5] => [5,1] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 1
[6,1,2,3,5,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,2,4,3,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,2,4,5,3] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,2,5,3,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,2,5,4,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,3,2,4,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,3,2,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,1,3,4,2,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,3,4,5,2] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,3,5,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,1,3,5,4,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,4,2,3,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,4,2,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,1,4,3,2,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,4,3,5,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,4,5,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,1,4,5,3,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,5,2,3,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,1,5,2,4,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,5,3,2,4] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,5,3,4,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,5,4,2,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,1,5,4,3,2] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,2,1,3,4,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,2,1,3,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,1,4,3,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,1,4,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,1,5,3,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,1,5,4,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,2,3,1,4,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,2,3,1,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,3,4,1,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,2,3,4,5,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,2,3,5,1,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,3,5,4,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,2,4,1,3,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,4,1,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,4,3,1,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,2,4,3,5,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,2,4,5,1,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,4,5,3,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,2,5,1,3,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,2,5,1,4,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,2,5,3,1,4] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,2,5,3,4,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,2,5,4,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,2,5,4,3,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,3,1,2,4,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,3,1,2,5,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,3,1,4,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,3,1,4,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,3,1,5,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,3,1,5,4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,3,2,1,4,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,3,2,1,5,4] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,3,2,4,1,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,3,2,4,5,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,3,2,5,1,4] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,3,2,5,4,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,3,4,1,2,5] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,3,4,1,5,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,3,4,2,1,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,3,4,2,5,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,3,4,5,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,3,4,5,2,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,3,5,1,2,4] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,3,5,1,4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,3,5,2,1,4] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,3,5,2,4,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,3,5,4,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,3,5,4,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,4,1,2,3,5] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,4,1,2,5,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,4,1,3,2,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,4,1,3,5,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,4,1,5,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,4,1,5,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,2,1,3,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,4,2,1,5,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,2,3,1,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,4,2,3,5,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,4,2,5,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,2,5,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,3,1,2,5] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,4,3,1,5,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,3,2,1,5] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,4,3,2,5,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,4,3,5,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,3,5,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,4,5,1,2,3] => [3,2,1] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
[6,4,5,1,3,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,5,2,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,5,2,3,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,5,3,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,4,5,3,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,1,2,3,4] => [4,1,1] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 2
[6,5,1,2,4,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,1,3,2,4] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,1,3,4,2] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,1,4,2,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,1,4,3,2] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,2,1,3,4] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,2,1,4,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,5,2,3,1,4] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,2,3,4,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,2,4,1,3] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,5,2,4,3,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,3,1,2,4] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,3,1,4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,5,3,2,1,4] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,3,2,4,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,3,4,1,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 3
[6,5,3,4,2,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,4,1,2,3] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 3
[6,5,4,1,3,2] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,4,2,1,3] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,4,2,3,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,4,3,1,2] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 4
[6,5,4,3,2,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => 5
[1,2,3,4,5,6,7] => [7] => [[1,2,3,4,5,6,7]] => [1,2,3,4,5,6,7] => 0
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Description
The number of circled entries of the shifted recording tableau of a permutation.
The diagram of a strict partition $\lambda_1 < \lambda_2 < \dots < \lambda_\ell$ of $n$ is a tableau with $\ell$ rows, the $i$-th row being indented by $i$ cells. A shifted standard Young tableau is a filling of such a diagram, where entries in rows and columns are strictly increasing.
The shifted Robinson-Schensted algorithm [1] associates to a permutation a pair $(P, Q)$ of standard shifted Young tableaux of the same shape, where off-diagonal entries in $Q$ may be circled.
This statistic records the number of circled entries in $Q$.
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
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
Robinson-Schensted tableau shape
Description
Sends a permutation to its Robinson-Schensted tableau shape.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.