Identifier
-
Mp00070:
Permutations
—Robinson-Schensted recording tableau⟶
Standard tableaux
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
St000245: Permutations ⟶ ℤ
Values
[1] => [[1]] => [1] => 0
[1,2] => [[1,2]] => [1,2] => 1
[2,1] => [[1],[2]] => [2,1] => 0
[1,2,3] => [[1,2,3]] => [1,2,3] => 2
[1,3,2] => [[1,2],[3]] => [3,1,2] => 1
[2,1,3] => [[1,3],[2]] => [2,1,3] => 1
[2,3,1] => [[1,2],[3]] => [3,1,2] => 1
[3,1,2] => [[1,3],[2]] => [2,1,3] => 1
[3,2,1] => [[1],[2],[3]] => [3,2,1] => 0
[1,2,3,4] => [[1,2,3,4]] => [1,2,3,4] => 3
[1,2,4,3] => [[1,2,3],[4]] => [4,1,2,3] => 2
[1,3,2,4] => [[1,2,4],[3]] => [3,1,2,4] => 2
[1,3,4,2] => [[1,2,3],[4]] => [4,1,2,3] => 2
[1,4,2,3] => [[1,2,4],[3]] => [3,1,2,4] => 2
[1,4,3,2] => [[1,2],[3],[4]] => [4,3,1,2] => 1
[2,1,3,4] => [[1,3,4],[2]] => [2,1,3,4] => 2
[2,1,4,3] => [[1,3],[2,4]] => [2,4,1,3] => 2
[2,3,1,4] => [[1,2,4],[3]] => [3,1,2,4] => 2
[2,3,4,1] => [[1,2,3],[4]] => [4,1,2,3] => 2
[2,4,1,3] => [[1,2],[3,4]] => [3,4,1,2] => 2
[2,4,3,1] => [[1,2],[3],[4]] => [4,3,1,2] => 1
[3,1,2,4] => [[1,3,4],[2]] => [2,1,3,4] => 2
[3,1,4,2] => [[1,3],[2,4]] => [2,4,1,3] => 2
[3,2,1,4] => [[1,4],[2],[3]] => [3,2,1,4] => 1
[3,2,4,1] => [[1,3],[2],[4]] => [4,2,1,3] => 1
[3,4,1,2] => [[1,2],[3,4]] => [3,4,1,2] => 2
[3,4,2,1] => [[1,2],[3],[4]] => [4,3,1,2] => 1
[4,1,2,3] => [[1,3,4],[2]] => [2,1,3,4] => 2
[4,1,3,2] => [[1,3],[2],[4]] => [4,2,1,3] => 1
[4,2,1,3] => [[1,4],[2],[3]] => [3,2,1,4] => 1
[4,2,3,1] => [[1,3],[2],[4]] => [4,2,1,3] => 1
[4,3,1,2] => [[1,4],[2],[3]] => [3,2,1,4] => 1
[4,3,2,1] => [[1],[2],[3],[4]] => [4,3,2,1] => 0
[1,2,3,4,5] => [[1,2,3,4,5]] => [1,2,3,4,5] => 4
[1,2,3,5,4] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 3
[1,2,4,3,5] => [[1,2,3,5],[4]] => [4,1,2,3,5] => 3
[1,2,4,5,3] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 3
[1,2,5,3,4] => [[1,2,3,5],[4]] => [4,1,2,3,5] => 3
[1,2,5,4,3] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 2
[1,3,2,4,5] => [[1,2,4,5],[3]] => [3,1,2,4,5] => 3
[1,3,2,5,4] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 3
[1,3,4,2,5] => [[1,2,3,5],[4]] => [4,1,2,3,5] => 3
[1,3,4,5,2] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 3
[1,3,5,2,4] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 3
[1,3,5,4,2] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 2
[1,4,2,3,5] => [[1,2,4,5],[3]] => [3,1,2,4,5] => 3
[1,4,2,5,3] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 3
[1,4,3,2,5] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 2
[1,4,3,5,2] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 2
[1,4,5,2,3] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 3
[1,4,5,3,2] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 2
[1,5,2,3,4] => [[1,2,4,5],[3]] => [3,1,2,4,5] => 3
[1,5,2,4,3] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 2
[1,5,3,2,4] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 2
[1,5,3,4,2] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 2
[1,5,4,2,3] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 2
[1,5,4,3,2] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
[2,1,3,4,5] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 3
[2,1,3,5,4] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 3
[2,1,4,3,5] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 3
[2,1,4,5,3] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 3
[2,1,5,3,4] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 3
[2,1,5,4,3] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 2
[2,3,1,4,5] => [[1,2,4,5],[3]] => [3,1,2,4,5] => 3
[2,3,1,5,4] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 3
[2,3,4,1,5] => [[1,2,3,5],[4]] => [4,1,2,3,5] => 3
[2,3,4,5,1] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 3
[2,3,5,1,4] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 3
[2,3,5,4,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 2
[2,4,1,3,5] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 3
[2,4,1,5,3] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 3
[2,4,3,1,5] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 2
[2,4,3,5,1] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 2
[2,4,5,1,3] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 3
[2,4,5,3,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 2
[2,5,1,3,4] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 3
[2,5,1,4,3] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
[2,5,3,1,4] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 2
[2,5,3,4,1] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 2
[2,5,4,1,3] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 2
[2,5,4,3,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
[3,1,2,4,5] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 3
[3,1,2,5,4] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 3
[3,1,4,2,5] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 3
[3,1,4,5,2] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 3
[3,1,5,2,4] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 3
[3,1,5,4,2] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 2
[3,2,1,4,5] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[3,2,1,5,4] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 2
[3,2,4,1,5] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 2
[3,2,4,5,1] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 2
[3,2,5,1,4] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[3,2,5,4,1] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 2
[3,4,1,2,5] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 3
[3,4,1,5,2] => [[1,2,4],[3,5]] => [3,5,1,2,4] => 3
[3,4,2,1,5] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 2
[3,4,2,5,1] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 2
[3,4,5,1,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 3
[3,4,5,2,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 2
[3,5,1,2,4] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 3
[3,5,1,4,2] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
>>> Load all 4611 entries. <<<[3,5,2,1,4] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 2
[3,5,2,4,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
[3,5,4,1,2] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 2
[3,5,4,2,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
[4,1,2,3,5] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 3
[4,1,2,5,3] => [[1,3,4],[2,5]] => [2,5,1,3,4] => 3
[4,1,3,2,5] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 2
[4,1,3,5,2] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 2
[4,1,5,2,3] => [[1,3,5],[2,4]] => [2,4,1,3,5] => 3
[4,1,5,3,2] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 2
[4,2,1,3,5] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[4,2,1,5,3] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 2
[4,2,3,1,5] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 2
[4,2,3,5,1] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 2
[4,2,5,1,3] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,2,5,3,1] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 2
[4,3,1,2,5] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[4,3,1,5,2] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 2
[4,3,2,1,5] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 1
[4,3,2,5,1] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1
[4,3,5,1,2] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[4,3,5,2,1] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1
[4,5,1,2,3] => [[1,2,5],[3,4]] => [3,4,1,2,5] => 3
[4,5,1,3,2] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
[4,5,2,1,3] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 2
[4,5,2,3,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
[4,5,3,1,2] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 2
[4,5,3,2,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
[5,1,2,3,4] => [[1,3,4,5],[2]] => [2,1,3,4,5] => 3
[5,1,2,4,3] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 2
[5,1,3,2,4] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 2
[5,1,3,4,2] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 2
[5,1,4,2,3] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 2
[5,1,4,3,2] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1
[5,2,1,3,4] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,2,1,4,3] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 2
[5,2,3,1,4] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 2
[5,2,3,4,1] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 2
[5,2,4,1,3] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[5,2,4,3,1] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1
[5,3,1,2,4] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,3,1,4,2] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 2
[5,3,2,1,4] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 1
[5,3,2,4,1] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1
[5,3,4,1,2] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
[5,3,4,2,1] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1
[5,4,1,2,3] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 2
[5,4,1,3,2] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1
[5,4,2,1,3] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 1
[5,4,2,3,1] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1
[5,4,3,1,2] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 1
[5,4,3,2,1] => [[1],[2],[3],[4],[5]] => [5,4,3,2,1] => 0
[1,2,3,4,5,6] => [[1,2,3,4,5,6]] => [1,2,3,4,5,6] => 5
[1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 4
[1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 4
[1,2,3,5,6,4] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 4
[1,2,3,6,4,5] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 4
[1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 4
[1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[1,2,4,5,3,6] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 4
[1,2,4,5,6,3] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 4
[1,2,4,6,3,5] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[1,2,4,6,5,3] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[1,2,5,3,4,6] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 4
[1,2,5,3,6,4] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[1,2,5,4,6,3] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[1,2,5,6,3,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[1,2,5,6,4,3] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[1,2,6,3,4,5] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 4
[1,2,6,3,5,4] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[1,2,6,4,3,5] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[1,2,6,4,5,3] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[1,2,6,5,3,4] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 4
[1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[1,3,2,5,6,4] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[1,3,2,6,4,5] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[1,3,4,2,5,6] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 4
[1,3,4,2,6,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[1,3,4,5,2,6] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 4
[1,3,4,5,6,2] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 4
[1,3,4,6,2,5] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[1,3,4,6,5,2] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[1,3,5,2,4,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[1,3,5,2,6,4] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[1,3,5,4,2,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[1,3,5,4,6,2] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[1,3,5,6,2,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[1,3,5,6,4,2] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[1,3,6,2,4,5] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[1,3,6,2,5,4] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[1,3,6,4,2,5] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[1,3,6,4,5,2] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[1,3,6,5,2,4] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[1,3,6,5,4,2] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[1,4,2,3,5,6] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 4
[1,4,2,3,6,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[1,4,2,5,3,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[1,4,2,5,6,3] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[1,4,2,6,3,5] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[1,4,2,6,5,3] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[1,4,3,5,2,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[1,4,3,5,6,2] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[1,4,3,6,2,5] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[1,4,3,6,5,2] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[1,4,5,2,3,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[1,4,5,2,6,3] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[1,4,5,3,2,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[1,4,5,3,6,2] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[1,4,5,6,2,3] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[1,4,5,6,3,2] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[1,4,6,2,3,5] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[1,4,6,2,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[1,4,6,3,2,5] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[1,4,6,3,5,2] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[1,4,6,5,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[1,4,6,5,3,2] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[1,5,2,3,4,6] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 4
[1,5,2,3,6,4] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[1,5,2,4,3,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[1,5,2,4,6,3] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[1,5,2,6,3,4] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[1,5,2,6,4,3] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[1,5,3,2,4,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[1,5,3,2,6,4] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[1,5,3,4,2,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[1,5,3,4,6,2] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[1,5,3,6,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[1,5,3,6,4,2] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[1,5,4,2,3,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[1,5,4,2,6,3] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[1,5,4,3,6,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[1,5,4,6,2,3] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[1,5,4,6,3,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[1,5,6,2,3,4] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[1,5,6,2,4,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[1,5,6,3,2,4] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[1,5,6,3,4,2] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[1,5,6,4,2,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[1,5,6,4,3,2] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[1,6,2,3,4,5] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 4
[1,6,2,3,5,4] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[1,6,2,4,3,5] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[1,6,2,4,5,3] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[1,6,2,5,3,4] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[1,6,2,5,4,3] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[1,6,3,2,4,5] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[1,6,3,2,5,4] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[1,6,3,4,2,5] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[1,6,3,4,5,2] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[1,6,3,5,2,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[1,6,3,5,4,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[1,6,4,2,3,5] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[1,6,4,2,5,3] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[1,6,4,3,2,5] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[1,6,4,3,5,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[1,6,4,5,2,3] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[1,6,4,5,3,2] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[1,6,5,2,3,4] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[1,6,5,2,4,3] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[1,6,5,3,2,4] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[1,6,5,3,4,2] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[1,6,5,4,2,3] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
[2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 4
[2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[2,1,3,5,6,4] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[2,1,3,6,4,5] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 4
[2,1,4,5,3,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[2,1,4,5,6,3] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[2,1,4,6,3,5] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 4
[2,1,4,6,5,3] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[2,1,5,3,4,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[2,1,5,3,6,4] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 4
[2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[2,1,5,4,6,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[2,1,5,6,3,4] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 4
[2,1,5,6,4,3] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[2,1,6,3,4,5] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[2,1,6,3,5,4] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[2,1,6,4,3,5] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[2,1,6,4,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[2,1,6,5,3,4] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[2,3,1,4,5,6] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 4
[2,3,1,4,6,5] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[2,3,1,5,4,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[2,3,1,5,6,4] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[2,3,1,6,4,5] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[2,3,1,6,5,4] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[2,3,4,1,5,6] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 4
[2,3,4,1,6,5] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[2,3,4,5,1,6] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 4
[2,3,4,5,6,1] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 4
[2,3,4,6,1,5] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[2,3,4,6,5,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[2,3,5,1,4,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[2,3,5,1,6,4] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[2,3,5,4,1,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[2,3,5,4,6,1] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[2,3,5,6,1,4] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[2,3,5,6,4,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[2,3,6,1,4,5] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[2,3,6,1,5,4] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[2,3,6,4,1,5] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[2,3,6,4,5,1] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[2,3,6,5,1,4] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[2,3,6,5,4,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[2,4,1,3,5,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[2,4,1,3,6,5] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 4
[2,4,1,5,3,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[2,4,1,5,6,3] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[2,4,1,6,3,5] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 4
[2,4,1,6,5,3] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[2,4,3,1,5,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[2,4,3,1,6,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[2,4,3,5,1,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[2,4,3,5,6,1] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[2,4,3,6,1,5] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[2,4,3,6,5,1] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[2,4,5,1,3,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[2,4,5,1,6,3] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[2,4,5,3,1,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[2,4,5,3,6,1] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[2,4,5,6,1,3] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[2,4,5,6,3,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[2,4,6,1,3,5] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 4
[2,4,6,1,5,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[2,4,6,3,1,5] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[2,4,6,3,5,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[2,4,6,5,1,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[2,4,6,5,3,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[2,5,1,3,4,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[2,5,1,3,6,4] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 4
[2,5,1,4,3,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[2,5,1,4,6,3] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[2,5,1,6,3,4] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 4
[2,5,1,6,4,3] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[2,5,3,1,4,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[2,5,3,1,6,4] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[2,5,3,4,1,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[2,5,3,4,6,1] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[2,5,3,6,1,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[2,5,3,6,4,1] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[2,5,4,1,3,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[2,5,4,1,6,3] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[2,5,4,3,1,6] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[2,5,4,3,6,1] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[2,5,4,6,1,3] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[2,5,4,6,3,1] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[2,5,6,1,3,4] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 4
[2,5,6,1,4,3] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[2,5,6,3,1,4] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[2,5,6,3,4,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[2,5,6,4,1,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[2,5,6,4,3,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[2,6,1,3,4,5] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[2,6,1,3,5,4] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[2,6,1,4,3,5] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[2,6,1,4,5,3] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[2,6,1,5,3,4] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[2,6,1,5,4,3] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[2,6,3,1,4,5] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[2,6,3,1,5,4] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[2,6,3,4,1,5] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[2,6,3,4,5,1] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[2,6,3,5,1,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[2,6,3,5,4,1] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[2,6,4,1,3,5] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[2,6,4,1,5,3] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[2,6,4,3,1,5] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[2,6,4,3,5,1] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[2,6,4,5,1,3] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[2,6,4,5,3,1] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[2,6,5,1,3,4] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[2,6,5,1,4,3] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[2,6,5,3,1,4] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[2,6,5,3,4,1] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[2,6,5,4,1,3] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
[3,1,2,4,5,6] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 4
[3,1,2,4,6,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[3,1,2,5,4,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[3,1,2,5,6,4] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[3,1,2,6,4,5] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[3,1,2,6,5,4] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[3,1,4,2,5,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[3,1,4,2,6,5] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 4
[3,1,4,5,2,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[3,1,4,5,6,2] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[3,1,4,6,2,5] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 4
[3,1,4,6,5,2] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[3,1,5,2,4,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[3,1,5,2,6,4] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 4
[3,1,5,4,2,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[3,1,5,4,6,2] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[3,1,5,6,2,4] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 4
[3,1,5,6,4,2] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[3,1,6,2,4,5] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[3,1,6,2,5,4] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[3,1,6,4,2,5] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[3,1,6,4,5,2] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[3,1,6,5,2,4] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[3,1,6,5,4,2] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[3,2,1,5,6,4] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[3,2,1,6,4,5] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 3
[3,2,4,1,5,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[3,2,4,1,6,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[3,2,4,5,1,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[3,2,4,5,6,1] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[3,2,4,6,1,5] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[3,2,4,6,5,1] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[3,2,5,1,4,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[3,2,5,1,6,4] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[3,2,5,4,1,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[3,2,5,4,6,1] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[3,2,5,6,1,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[3,2,5,6,4,1] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[3,2,6,1,4,5] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[3,2,6,1,5,4] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 3
[3,2,6,4,1,5] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[3,2,6,4,5,1] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[3,2,6,5,1,4] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 3
[3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[3,4,1,2,6,5] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 4
[3,4,1,5,2,6] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 4
[3,4,1,5,6,2] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 4
[3,4,1,6,2,5] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 4
[3,4,1,6,5,2] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[3,4,2,1,5,6] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 3
[3,4,2,1,6,5] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[3,4,2,5,1,6] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 3
[3,4,2,5,6,1] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 3
[3,4,2,6,1,5] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[3,4,2,6,5,1] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[3,4,5,1,2,6] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 4
[3,4,5,1,6,2] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 4
[3,4,5,2,1,6] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 3
[3,4,5,2,6,1] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 3
[3,4,5,6,1,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 4
[3,4,5,6,2,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 3
[3,4,6,1,2,5] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 4
[3,4,6,1,5,2] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[3,4,6,2,1,5] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[3,4,6,2,5,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[3,4,6,5,1,2] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[3,4,6,5,2,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[3,5,1,2,4,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[3,5,1,2,6,4] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 4
[3,5,1,4,2,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[3,5,1,4,6,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[3,5,1,6,2,4] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 4
[3,5,1,6,4,2] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[3,5,2,1,4,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[3,5,2,1,6,4] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[3,5,2,4,1,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[3,5,2,4,6,1] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[3,5,2,6,1,4] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[3,5,2,6,4,1] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[3,5,4,1,2,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[3,5,4,1,6,2] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[3,5,4,2,1,6] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[3,5,4,2,6,1] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[3,5,4,6,1,2] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[3,5,4,6,2,1] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[3,5,6,1,2,4] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 4
[3,5,6,1,4,2] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[3,5,6,2,1,4] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[3,5,6,2,4,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[3,5,6,4,1,2] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[3,5,6,4,2,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[3,6,1,2,4,5] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[3,6,1,2,5,4] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[3,6,1,4,2,5] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[3,6,1,4,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[3,6,1,5,2,4] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[3,6,1,5,4,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[3,6,2,1,4,5] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[3,6,2,1,5,4] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 3
[3,6,2,4,1,5] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[3,6,2,4,5,1] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[3,6,2,5,1,4] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[3,6,2,5,4,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[3,6,4,1,2,5] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[3,6,4,1,5,2] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[3,6,4,2,1,5] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[3,6,4,2,5,1] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[3,6,4,5,1,2] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[3,6,4,5,2,1] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[3,6,5,1,2,4] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[3,6,5,1,4,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[3,6,5,2,1,4] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[3,6,5,2,4,1] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[3,6,5,4,1,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
[4,1,2,3,5,6] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 4
[4,1,2,3,6,5] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[4,1,2,5,3,6] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[4,1,2,5,6,3] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[4,1,2,6,3,5] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[4,1,2,6,5,3] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[4,1,3,2,5,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[4,1,3,2,6,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[4,1,3,5,2,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[4,1,3,5,6,2] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[4,1,3,6,2,5] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[4,1,3,6,5,2] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[4,1,5,2,3,6] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[4,1,5,2,6,3] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 4
[4,1,5,3,2,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[4,1,5,3,6,2] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[4,1,5,6,2,3] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 4
[4,1,5,6,3,2] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[4,1,6,2,3,5] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[4,1,6,2,5,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[4,1,6,3,2,5] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[4,1,6,3,5,2] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[4,1,6,5,2,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[4,1,6,5,3,2] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[4,2,1,3,5,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[4,2,1,3,6,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[4,2,1,5,3,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[4,2,1,5,6,3] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[4,2,1,6,3,5] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[4,2,1,6,5,3] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 3
[4,2,3,1,5,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[4,2,3,1,6,5] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[4,2,3,5,1,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[4,2,3,5,6,1] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[4,2,3,6,1,5] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[4,2,3,6,5,1] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[4,2,5,1,3,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[4,2,5,1,6,3] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[4,2,5,3,1,6] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[4,2,5,3,6,1] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[4,2,5,6,1,3] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[4,2,5,6,3,1] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[4,2,6,1,3,5] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[4,2,6,1,5,3] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 3
[4,2,6,3,1,5] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[4,2,6,3,5,1] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[4,2,6,5,1,3] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 3
[4,2,6,5,3,1] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[4,3,1,2,5,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[4,3,1,2,6,5] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[4,3,1,5,2,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[4,3,1,5,6,2] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[4,3,1,6,2,5] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[4,3,1,6,5,2] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 3
[4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[4,3,2,5,1,6] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[4,3,2,5,6,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[4,3,2,6,1,5] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[4,3,2,6,5,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[4,3,5,1,2,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[4,3,5,1,6,2] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[4,3,5,2,1,6] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[4,3,5,2,6,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[4,3,5,6,1,2] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[4,3,6,1,2,5] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[4,3,6,1,5,2] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 3
[4,3,6,2,1,5] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[4,3,6,2,5,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[4,3,6,5,1,2] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 3
[4,3,6,5,2,1] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[4,5,1,2,3,6] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[4,5,1,2,6,3] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 4
[4,5,1,3,2,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[4,5,1,3,6,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[4,5,1,6,2,3] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 4
[4,5,1,6,3,2] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[4,5,2,1,3,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[4,5,2,1,6,3] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[4,5,2,3,1,6] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[4,5,2,3,6,1] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[4,5,2,6,1,3] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[4,5,2,6,3,1] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 3
[4,5,3,1,2,6] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[4,5,3,1,6,2] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 3
[4,5,3,2,1,6] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 2
[4,5,3,2,6,1] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
[4,5,3,6,1,2] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 3
[4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
[4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 4
[4,5,6,1,3,2] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[4,5,6,2,1,3] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[4,5,6,2,3,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 3
[4,5,6,3,1,2] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 3
[4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 2
[4,6,1,2,3,5] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[4,6,1,2,5,3] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[4,6,1,3,2,5] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[4,6,1,3,5,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[4,6,1,5,2,3] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[4,6,1,5,3,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[4,6,2,1,3,5] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[4,6,2,1,5,3] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 3
[4,6,2,3,1,5] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[4,6,2,3,5,1] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[4,6,2,5,1,3] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,6,2,5,3,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[4,6,3,1,2,5] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[4,6,3,1,5,2] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 3
[4,6,3,2,1,5] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[4,6,3,2,5,1] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[4,6,3,5,1,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[4,6,3,5,2,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[4,6,5,1,2,3] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[4,6,5,1,3,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[4,6,5,2,1,3] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[4,6,5,2,3,1] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[4,6,5,3,1,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
[5,1,2,3,4,6] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 4
[5,1,2,3,6,4] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 4
[5,1,2,4,3,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[5,1,2,4,6,3] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[5,1,2,6,3,4] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 4
[5,1,2,6,4,3] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[5,1,3,2,4,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[5,1,3,2,6,4] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[5,1,3,4,2,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[5,1,3,4,6,2] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[5,1,3,6,2,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[5,1,3,6,4,2] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[5,1,4,2,3,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[5,1,4,2,6,3] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[5,1,4,3,2,6] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[5,1,4,3,6,2] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[5,1,4,6,2,3] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[5,1,4,6,3,2] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[5,1,6,2,3,4] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 4
[5,1,6,2,4,3] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[5,1,6,3,2,4] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[5,1,6,3,4,2] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[5,1,6,4,2,3] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[5,1,6,4,3,2] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[5,2,1,3,4,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[5,2,1,3,6,4] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[5,2,1,4,3,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[5,2,1,4,6,3] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[5,2,1,6,3,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[5,2,1,6,4,3] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 3
[5,2,3,1,4,6] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[5,2,3,1,6,4] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[5,2,3,4,1,6] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[5,2,3,4,6,1] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[5,2,3,6,1,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[5,2,3,6,4,1] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 3
[5,2,4,1,3,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[5,2,4,1,6,3] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[5,2,4,3,1,6] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[5,2,4,3,6,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[5,2,4,6,1,3] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[5,2,4,6,3,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[5,2,6,1,3,4] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[5,2,6,1,4,3] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 3
[5,2,6,3,1,4] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 3
[5,2,6,3,4,1] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 3
[5,2,6,4,1,3] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 3
[5,2,6,4,3,1] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[5,3,1,2,4,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[5,3,1,2,6,4] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[5,3,1,4,2,6] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[5,3,1,4,6,2] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[5,3,1,6,2,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[5,3,1,6,4,2] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 3
[5,3,2,1,4,6] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[5,3,2,1,6,4] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[5,3,2,4,6,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[5,3,2,6,4,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[5,3,4,1,2,6] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[5,3,4,1,6,2] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[5,3,4,2,1,6] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[5,3,4,2,6,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[5,3,4,6,1,2] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[5,3,4,6,2,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[5,3,6,1,2,4] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[5,3,6,1,4,2] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 3
[5,3,6,2,1,4] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[5,3,6,2,4,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[5,3,6,4,1,2] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 3
[5,3,6,4,2,1] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
[5,4,1,2,3,6] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[5,4,1,2,6,3] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[5,4,1,3,2,6] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[5,4,1,3,6,2] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[5,4,1,6,2,3] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[5,4,1,6,3,2] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[5,4,2,1,3,6] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[5,4,2,1,6,3] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[5,4,2,3,1,6] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[5,4,2,3,6,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[5,4,2,6,1,3] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[5,4,2,6,3,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[5,4,3,1,2,6] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[5,4,3,1,6,2] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 1
[5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
[5,4,3,6,1,2] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 1
[5,4,6,1,2,3] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[5,4,6,1,3,2] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[5,4,6,2,3,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[5,4,6,3,1,2] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 1
[5,6,1,2,3,4] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 4
[5,6,1,2,4,3] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[5,6,1,3,2,4] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[5,6,1,3,4,2] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[5,6,1,4,2,3] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[5,6,1,4,3,2] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[5,6,2,1,3,4] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[5,6,2,1,4,3] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 3
[5,6,2,3,1,4] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 3
[5,6,2,3,4,1] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 3
[5,6,2,4,1,3] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,6,2,4,3,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[5,6,3,1,2,4] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[5,6,3,1,4,2] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 3
[5,6,3,2,1,4] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[5,6,3,2,4,1] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[5,6,3,4,1,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
[5,6,3,4,2,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
[5,6,4,1,2,3] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 3
[5,6,4,1,3,2] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[5,6,4,2,1,3] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[5,6,4,2,3,1] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
[5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 2
[5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
[6,1,2,3,4,5] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 4
[6,1,2,3,5,4] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[6,1,2,4,3,5] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[6,1,2,4,5,3] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[6,1,2,5,3,4] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[6,1,2,5,4,3] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[6,1,3,2,4,5] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[6,1,3,2,5,4] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[6,1,3,4,2,5] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[6,1,3,4,5,2] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[6,1,3,5,2,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[6,1,3,5,4,2] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[6,1,4,2,3,5] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[6,1,4,2,5,3] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[6,1,4,3,2,5] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[6,1,4,3,5,2] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[6,1,4,5,2,3] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[6,1,4,5,3,2] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[6,1,5,2,3,4] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[6,1,5,2,4,3] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[6,1,5,3,2,4] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[6,1,5,3,4,2] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[6,1,5,4,2,3] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[6,1,5,4,3,2] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 1
[6,2,1,3,4,5] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[6,2,1,3,5,4] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[6,2,1,4,3,5] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[6,2,1,4,5,3] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[6,2,1,5,3,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[6,2,1,5,4,3] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[6,2,3,1,4,5] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 3
[6,2,3,1,5,4] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[6,2,3,4,1,5] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 3
[6,2,3,4,5,1] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 3
[6,2,3,5,1,4] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[6,2,3,5,4,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[6,2,4,1,3,5] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[6,2,4,1,5,3] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[6,2,4,3,1,5] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[6,2,4,3,5,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[6,2,4,5,1,3] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[6,2,4,5,3,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[6,2,5,1,3,4] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[6,2,5,1,4,3] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[6,2,5,3,1,4] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[6,2,5,3,4,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[6,2,5,4,1,3] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 1
[6,3,1,2,4,5] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[6,3,1,2,5,4] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[6,3,1,4,2,5] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[6,3,1,4,5,2] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[6,3,1,5,2,4] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[6,3,1,5,4,2] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[6,3,2,1,4,5] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[6,3,2,1,5,4] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[6,3,2,4,1,5] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[6,3,2,5,1,4] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[6,3,4,1,2,5] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[6,3,4,1,5,2] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 3
[6,3,4,2,1,5] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 2
[6,3,4,2,5,1] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
[6,3,4,5,1,2] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 3
[6,3,4,5,2,1] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 2
[6,3,5,1,2,4] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[6,3,5,1,4,2] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[6,3,5,2,1,4] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[6,3,5,2,4,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[6,3,5,4,1,2] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[6,3,5,4,2,1] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 1
[6,4,1,2,3,5] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[6,4,1,2,5,3] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 3
[6,4,1,3,2,5] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[6,4,1,3,5,2] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[6,4,1,5,2,3] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 3
[6,4,1,5,3,2] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[6,4,2,1,3,5] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[6,4,2,1,5,3] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[6,4,2,3,1,5] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[6,4,2,3,5,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[6,4,2,5,1,3] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[6,4,2,5,3,1] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
[6,4,3,1,2,5] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[6,4,3,1,5,2] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[6,4,3,2,1,5] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 1
[6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
[6,4,3,5,1,2] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[6,4,3,5,2,1] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 1
[6,4,5,1,2,3] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 3
[6,4,5,1,3,2] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[6,4,5,2,1,3] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 2
[6,4,5,3,1,2] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
[6,4,5,3,2,1] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 1
[6,5,1,2,3,4] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 3
[6,5,1,2,4,3] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[6,5,1,3,2,4] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[6,5,1,3,4,2] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[6,5,1,4,2,3] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[6,5,1,4,3,2] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 1
[6,5,2,1,3,4] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[6,5,2,1,4,3] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[6,5,2,3,1,4] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 2
[6,5,2,3,4,1] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 2
[6,5,2,4,1,3] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[6,5,2,4,3,1] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 1
[6,5,3,1,2,4] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[6,5,3,1,4,2] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 2
[6,5,3,2,1,4] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 1
[6,5,3,2,4,1] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
[6,5,3,4,1,2] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
[6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 1
[6,5,4,1,2,3] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 2
[6,5,4,1,3,2] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
[6,5,4,2,1,3] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 1
[6,5,4,2,3,1] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
[6,5,4,3,1,2] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 1
[6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => 0
[1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => [1,2,3,4,5,6,7] => 6
[1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 5
[1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 5
[1,2,3,4,6,7,5] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 5
[1,2,3,4,7,5,6] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 5
[1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 5
[1,2,3,5,6,4,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 5
[1,2,3,5,6,7,4] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 5
[1,2,3,5,7,4,6] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,2,3,5,7,6,4] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,2,3,6,4,5,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 5
[1,2,3,6,5,7,4] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,2,3,6,7,4,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,2,3,6,7,5,4] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,2,3,7,4,5,6] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 5
[1,2,3,7,4,6,5] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,2,3,7,5,6,4] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 5
[1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,2,4,3,7,5,6] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,2,4,5,3,6,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 5
[1,2,4,5,6,3,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 5
[1,2,4,5,6,7,3] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 5
[1,2,4,5,7,3,6] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,2,4,5,7,6,3] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,2,4,6,3,5,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,2,4,6,5,7,3] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,2,4,6,7,3,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,2,4,6,7,5,3] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,2,4,7,3,5,6] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,2,4,7,3,6,5] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,2,4,7,5,6,3] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,2,4,7,6,5,3] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,2,5,3,4,6,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 5
[1,2,5,3,6,4,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,2,5,3,7,4,6] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,2,5,4,6,7,3] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,2,5,6,3,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,2,5,6,4,7,3] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,2,5,6,7,3,4] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,2,5,6,7,4,3] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,2,5,7,3,4,6] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,2,5,7,3,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,2,5,7,4,6,3] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,2,5,7,6,4,3] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,2,6,3,4,5,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 5
[1,2,6,3,5,7,4] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,2,6,3,7,4,5] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,2,6,4,5,7,3] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,2,6,7,3,4,5] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,2,6,7,3,5,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,2,6,7,4,5,3] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,2,6,7,5,4,3] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,2,7,3,4,5,6] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 5
[1,2,7,3,4,6,5] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,2,7,3,5,6,4] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,2,7,4,5,6,3] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 5
[1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,3,2,4,7,5,6] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,3,2,5,6,4,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,3,4,2,5,6,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 5
[1,3,4,2,6,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,3,4,2,7,5,6] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,3,4,5,2,6,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 5
[1,3,4,5,6,2,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 5
[1,3,4,5,6,7,2] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 5
[1,3,4,5,7,2,6] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,3,4,5,7,6,2] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,3,4,6,2,5,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,3,4,6,5,7,2] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,3,4,6,7,2,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,3,4,6,7,5,2] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,3,4,7,2,5,6] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,3,4,7,2,6,5] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,3,4,7,5,6,2] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,3,4,7,6,5,2] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,3,5,2,6,4,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,3,5,4,6,7,2] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,3,5,6,2,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,3,5,6,4,7,2] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,3,5,6,7,2,4] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,3,5,6,7,4,2] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,3,5,7,2,4,6] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[1,3,5,7,2,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,3,5,7,4,6,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,3,5,7,6,4,2] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,3,6,4,5,7,2] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,3,6,7,2,4,5] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[1,3,6,7,2,5,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,3,6,7,4,5,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,3,6,7,5,4,2] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,3,7,2,6,5,4] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,3,7,4,5,6,2] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,3,7,6,5,4,2] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[1,4,2,3,5,6,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 5
[1,4,2,3,6,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,4,2,3,7,5,6] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,4,2,5,6,3,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,4,3,5,6,7,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,4,5,2,6,3,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[1,4,5,3,6,7,2] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[1,4,5,6,2,3,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[1,4,5,6,3,7,2] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[1,4,5,6,7,2,3] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[1,4,5,6,7,3,2] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[1,4,5,7,2,3,6] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[1,4,5,7,2,6,3] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,4,5,7,3,6,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,4,5,7,6,3,2] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,4,6,7,2,3,5] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[1,4,6,7,2,5,3] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,4,6,7,3,5,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,4,6,7,5,3,2] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,4,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,4,7,3,6,2,5] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[1,4,7,3,6,5,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,4,7,6,5,3,2] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[1,5,2,3,4,6,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 5
[1,5,2,3,6,4,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,5,2,3,7,4,6] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,5,2,4,6,7,3] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,5,3,4,6,7,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[1,5,6,7,2,4,3] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,5,6,7,3,4,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[1,5,6,7,4,3,2] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[1,5,7,2,6,4,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,5,7,3,6,2,4] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[1,5,7,3,6,4,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,5,7,4,6,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[1,5,7,4,6,3,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,5,7,6,4,3,2] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[1,6,2,3,4,5,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 5
[1,6,2,3,5,7,4] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,6,2,3,7,4,5] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[1,6,2,4,5,7,3] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,6,3,4,5,7,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,6,7,2,5,4,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,6,7,3,5,2,4] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[1,6,7,3,5,4,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,6,7,4,5,2,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[1,6,7,4,5,3,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[1,6,7,5,4,3,2] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[1,7,2,3,4,5,6] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 5
[1,7,2,3,4,6,5] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,7,2,3,5,6,4] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,7,2,4,5,6,3] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,7,3,4,5,6,2] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
[2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 5
[2,1,3,4,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[2,1,3,4,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[2,1,3,4,6,7,5] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[2,1,3,4,7,5,6] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[2,1,3,5,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[2,1,3,5,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[2,1,3,5,6,4,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[2,1,3,5,6,7,4] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[2,1,3,5,7,4,6] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[2,1,3,6,4,5,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[2,1,3,6,4,7,5] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[2,1,3,6,7,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[2,1,3,7,4,5,6] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[2,1,4,3,5,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[2,1,4,5,3,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[2,1,4,5,3,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[2,1,4,5,6,3,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[2,1,4,5,6,7,3] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[2,1,4,5,7,3,6] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[2,1,4,6,3,7,5] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[2,1,4,6,7,3,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[2,1,5,3,4,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[2,1,5,6,3,7,4] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[2,1,5,6,7,3,4] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[2,1,6,3,4,5,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[2,1,7,3,4,5,6] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[2,3,1,4,5,6,7] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 5
[2,3,1,4,6,5,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[2,3,1,4,7,5,6] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[2,3,1,5,6,4,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[2,3,4,1,5,6,7] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 5
[2,3,4,1,6,5,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[2,3,4,1,7,5,6] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[2,3,4,5,1,6,7] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 5
[2,3,4,5,6,1,7] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 5
[2,3,4,5,6,7,1] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 5
[2,3,4,5,7,1,6] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[2,3,4,5,7,6,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[2,3,4,6,1,5,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[2,3,4,6,5,7,1] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[2,3,4,6,7,1,5] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[2,3,4,6,7,5,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[2,3,4,7,1,5,6] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[2,3,4,7,1,6,5] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,3,4,7,5,6,1] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[2,3,4,7,6,5,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[2,3,5,1,6,4,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[2,3,5,4,6,7,1] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[2,3,5,6,1,4,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[2,3,5,6,4,7,1] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[2,3,5,6,7,1,4] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[2,3,5,6,7,4,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[2,3,5,7,1,4,6] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[2,3,5,7,1,6,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,3,5,7,4,6,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,3,5,7,6,4,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[2,3,6,4,5,7,1] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[2,3,6,7,1,4,5] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[2,3,6,7,1,5,4] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,3,6,7,4,5,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,3,6,7,5,4,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[2,3,7,1,6,5,4] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,3,7,4,5,6,1] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[2,3,7,6,5,4,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[2,4,1,3,5,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[2,4,1,5,6,3,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[2,4,1,6,3,5,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[2,4,1,7,3,5,6] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[2,4,3,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[2,4,5,1,6,3,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[2,4,5,3,6,7,1] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[2,4,5,6,1,3,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[2,4,5,6,3,7,1] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[2,4,5,6,7,1,3] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[2,4,5,6,7,3,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[2,4,5,7,1,3,6] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[2,4,5,7,1,6,3] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,4,5,7,3,6,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,4,5,7,6,3,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[2,4,6,1,3,5,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[2,4,6,7,1,3,5] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[2,4,6,7,1,5,3] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,4,6,7,3,5,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,4,6,7,5,3,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[2,4,7,1,3,5,6] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[2,4,7,1,3,6,5] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[2,4,7,1,6,3,5] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[2,4,7,1,6,5,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,4,7,3,6,1,5] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[2,4,7,3,6,5,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,4,7,6,1,3,5] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[2,4,7,6,5,3,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[2,5,1,3,4,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[2,5,1,4,6,7,3] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[2,5,1,4,7,3,6] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[2,5,1,6,3,4,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[2,5,1,7,3,4,6] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[2,5,3,4,6,7,1] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[2,5,4,7,1,3,6] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[2,5,6,1,3,4,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[2,5,6,7,1,3,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[2,5,6,7,1,4,3] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,5,6,7,3,4,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[2,5,6,7,4,3,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[2,5,7,1,3,4,6] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[2,5,7,1,3,6,4] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[2,5,7,1,4,3,6] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[2,5,7,1,4,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[2,5,7,1,6,3,4] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[2,5,7,1,6,4,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,5,7,3,6,1,4] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[2,5,7,3,6,4,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,5,7,4,1,3,6] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[2,5,7,4,6,1,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[2,5,7,4,6,3,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,5,7,6,1,3,4] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[2,5,7,6,4,3,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[2,6,1,3,4,5,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[2,6,1,3,5,7,4] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[2,6,1,4,5,7,3] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[2,6,1,4,7,3,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[2,6,1,5,7,3,4] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[2,6,1,7,3,4,5] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[2,6,3,4,5,7,1] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[2,6,4,7,1,3,5] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[2,6,5,7,1,3,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[2,6,7,1,3,4,5] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[2,6,7,1,3,5,4] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[2,6,7,1,4,3,5] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[2,6,7,1,4,5,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[2,6,7,1,5,3,4] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[2,6,7,1,5,4,3] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,6,7,3,5,1,4] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[2,6,7,3,5,4,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,6,7,4,1,3,5] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[2,6,7,4,5,1,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[2,6,7,4,5,3,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[2,6,7,5,1,3,4] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[2,6,7,5,4,3,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[2,7,1,3,4,5,6] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[2,7,1,3,4,6,5] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[2,7,1,3,5,6,4] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[2,7,1,4,5,6,3] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[2,7,1,4,6,3,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[2,7,1,5,6,3,4] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[2,7,1,6,5,4,3] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[2,7,3,4,5,6,1] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[2,7,4,6,1,3,5] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[2,7,5,6,1,3,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[2,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
[3,1,2,4,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 5
[3,1,2,4,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[3,1,2,4,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[3,1,2,4,6,7,5] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[3,1,2,4,7,5,6] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[3,1,2,5,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[3,1,2,5,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[3,1,2,5,6,4,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[3,1,2,5,6,7,4] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[3,1,2,5,7,4,6] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[3,1,2,6,4,5,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[3,1,2,6,4,7,5] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[3,1,2,6,7,4,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[3,1,2,7,4,5,6] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[3,1,4,2,5,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[3,1,4,5,2,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[3,1,4,5,2,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[3,1,4,5,6,2,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[3,1,4,5,6,7,2] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[3,1,4,5,7,2,6] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[3,1,4,6,2,7,5] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[3,1,4,6,7,2,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[3,1,5,2,4,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[3,1,5,6,2,7,4] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[3,1,5,6,7,2,4] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[3,1,6,2,4,5,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[3,1,7,2,4,5,6] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[3,2,4,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[3,2,5,1,4,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[3,2,5,7,1,4,6] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[3,2,6,1,4,5,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[3,2,6,7,1,4,5] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[3,2,7,1,4,5,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[3,4,1,5,6,2,7] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 5
[3,4,1,6,2,5,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[3,4,1,7,2,5,6] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[3,4,2,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 4
[3,4,5,1,6,2,7] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 5
[3,4,5,2,6,7,1] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 4
[3,4,5,6,1,2,7] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 5
[3,4,5,6,2,7,1] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 4
[3,4,5,6,7,1,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 5
[3,4,5,6,7,2,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 4
[3,4,5,7,1,2,6] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[3,4,5,7,1,6,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[3,4,5,7,2,6,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[3,4,5,7,6,2,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[3,4,6,1,2,5,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[3,4,6,7,1,2,5] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[3,4,6,7,1,5,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[3,4,6,7,2,5,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[3,4,6,7,5,2,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[3,4,7,1,2,5,6] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[3,4,7,1,2,6,5] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[3,4,7,1,6,2,5] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[3,4,7,1,6,5,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[3,4,7,2,6,1,5] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[3,4,7,2,6,5,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[3,4,7,6,1,2,5] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[3,4,7,6,5,2,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[3,5,1,2,4,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[3,5,1,4,6,7,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,5,1,4,7,2,6] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[3,5,1,6,2,4,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[3,5,1,7,2,4,6] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[3,5,2,4,6,7,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,5,2,4,7,1,6] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[3,5,2,7,1,4,6] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[3,5,4,7,1,2,6] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[3,5,6,1,2,4,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[3,5,6,7,1,2,4] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[3,5,6,7,1,4,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[3,5,6,7,2,4,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[3,5,6,7,4,2,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[3,5,7,1,2,4,6] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[3,5,7,1,2,6,4] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[3,5,7,1,4,2,6] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[3,5,7,1,4,6,2] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[3,5,7,1,6,2,4] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[3,5,7,1,6,4,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[3,5,7,2,1,4,6] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[3,5,7,2,4,1,6] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[3,5,7,2,4,6,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[3,5,7,2,6,1,4] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[3,5,7,2,6,4,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[3,5,7,4,1,2,6] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[3,5,7,4,6,1,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[3,5,7,4,6,2,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[3,5,7,6,1,2,4] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[3,5,7,6,4,2,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[3,6,1,2,4,5,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[3,6,1,2,5,7,4] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,6,1,4,5,7,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,6,1,4,7,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[3,6,1,5,7,2,4] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[3,6,1,7,2,4,5] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[3,6,2,4,5,7,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,6,2,4,7,1,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[3,6,2,5,1,4,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[3,6,2,5,7,1,4] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[3,6,2,7,1,4,5] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[3,6,4,7,1,2,5] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[3,6,5,7,1,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[3,6,7,1,2,4,5] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[3,6,7,1,2,5,4] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[3,6,7,1,4,2,5] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[3,6,7,1,4,5,2] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[3,6,7,1,5,2,4] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[3,6,7,1,5,4,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[3,6,7,2,1,4,5] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[3,6,7,2,4,1,5] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[3,6,7,2,4,5,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[3,6,7,2,5,1,4] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[3,6,7,2,5,4,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[3,6,7,4,1,2,5] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[3,6,7,4,5,1,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[3,6,7,4,5,2,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[3,6,7,5,1,2,4] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[3,6,7,5,4,2,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[3,7,1,2,4,5,6] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[3,7,1,2,4,6,5] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,7,1,2,5,6,4] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,7,1,4,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,7,1,4,6,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[3,7,1,5,6,2,4] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[3,7,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[3,7,2,4,5,6,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[3,7,2,4,6,1,5] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[3,7,2,5,1,4,6] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[3,7,2,5,6,1,4] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[3,7,2,6,1,4,5] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[3,7,2,6,1,5,4] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[3,7,2,6,5,1,4] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[3,7,2,6,5,4,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[3,7,4,6,1,2,5] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[3,7,5,6,1,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[3,7,6,2,5,1,4] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[3,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
[4,1,2,3,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 5
[4,1,2,3,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[4,1,2,3,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[4,1,2,3,6,7,5] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[4,1,2,3,7,5,6] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[4,1,2,5,3,6,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[4,1,2,5,3,7,6] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[4,1,2,5,6,3,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[4,1,2,5,6,7,3] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[4,1,2,5,7,3,6] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[4,1,2,6,3,5,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[4,1,2,6,3,7,5] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[4,1,2,6,7,3,5] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[4,1,2,7,3,5,6] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[4,1,3,5,6,7,2] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[4,1,5,2,3,6,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[4,1,5,6,2,7,3] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[4,1,5,6,7,2,3] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[4,1,6,2,3,5,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[4,1,7,2,3,5,6] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[4,2,1,3,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[4,2,3,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[4,2,5,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[4,2,5,7,1,3,6] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[4,2,6,1,3,5,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[4,2,6,7,1,3,5] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[4,2,7,1,3,5,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[4,3,1,2,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[4,3,2,5,6,7,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[4,3,2,6,1,5,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[4,3,2,7,1,5,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[4,3,5,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[4,3,5,2,6,7,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[4,3,5,7,1,2,6] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[4,3,6,1,2,5,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[4,3,6,7,1,2,5] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[4,3,7,1,2,5,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[4,3,7,2,6,1,5] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[4,5,1,2,3,6,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[4,5,1,3,6,7,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,5,1,3,7,2,6] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[4,5,1,6,2,3,7] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[4,5,1,7,2,3,6] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[4,5,2,3,6,7,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,5,2,3,7,1,6] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[4,5,2,7,1,3,6] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[4,5,3,7,1,2,6] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[4,5,6,7,1,2,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 5
[4,5,6,7,1,3,2] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[4,5,6,7,2,3,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 4
[4,5,6,7,3,2,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 3
[4,5,7,1,2,3,6] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[4,5,7,1,2,6,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[4,5,7,1,3,2,6] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[4,5,7,1,3,6,2] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[4,5,7,1,6,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[4,5,7,1,6,3,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[4,5,7,2,1,3,6] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[4,5,7,2,3,1,6] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[4,5,7,2,3,6,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[4,5,7,2,6,1,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[4,5,7,2,6,3,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[4,5,7,3,1,2,6] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[4,5,7,3,6,1,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[4,5,7,3,6,2,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[4,5,7,6,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[4,5,7,6,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[4,6,1,2,3,5,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[4,6,1,2,5,7,3] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,6,1,3,5,7,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,6,1,3,7,2,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[4,6,1,5,7,2,3] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[4,6,1,7,2,3,5] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[4,6,2,3,5,7,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,6,2,3,7,1,5] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[4,6,2,5,1,3,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[4,6,2,5,7,1,3] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[4,6,2,7,1,3,5] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[4,6,3,5,1,2,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[4,6,3,5,7,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[4,6,3,7,1,2,5] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[4,6,5,7,1,2,3] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[4,6,7,1,2,3,5] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[4,6,7,1,2,5,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[4,6,7,1,3,2,5] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[4,6,7,1,3,5,2] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[4,6,7,1,5,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[4,6,7,1,5,3,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[4,6,7,2,1,3,5] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[4,6,7,2,3,1,5] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[4,6,7,2,3,5,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[4,6,7,2,5,1,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[4,6,7,2,5,3,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[4,6,7,3,1,2,5] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[4,6,7,3,5,1,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[4,6,7,3,5,2,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[4,6,7,5,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[4,6,7,5,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[4,7,1,2,3,5,6] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[4,7,1,2,3,6,5] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,7,1,2,5,6,3] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,7,1,3,5,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,7,1,3,6,2,5] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[4,7,1,5,6,2,3] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[4,7,1,6,5,3,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[4,7,2,3,5,6,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[4,7,2,3,6,1,5] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[4,7,2,5,1,3,6] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[4,7,2,5,6,1,3] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[4,7,2,6,1,3,5] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[4,7,2,6,1,5,3] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[4,7,2,6,5,1,3] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[4,7,2,6,5,3,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[4,7,3,2,6,1,5] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[4,7,3,5,1,2,6] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[4,7,3,5,6,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[4,7,3,6,1,2,5] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[4,7,3,6,1,5,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[4,7,3,6,2,1,5] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[4,7,3,6,2,5,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[4,7,3,6,5,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[4,7,3,6,5,2,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[4,7,5,6,1,2,3] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[4,7,6,2,5,1,3] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[4,7,6,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[4,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
[5,1,2,3,4,6,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 5
[5,1,2,3,4,7,6] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[5,1,2,3,6,4,7] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[5,1,2,3,6,7,4] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[5,1,2,3,7,4,6] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[5,1,2,4,6,7,3] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[5,1,2,6,3,4,7] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[5,1,2,6,3,7,4] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 5
[5,1,2,6,7,3,4] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 5
[5,1,2,7,3,4,6] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[5,1,3,4,6,7,2] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[5,1,4,3,6,7,2] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[5,1,6,2,3,4,7] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[5,1,7,2,3,4,6] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[5,2,1,3,4,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[5,2,3,4,6,7,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[5,2,4,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[5,2,4,3,6,7,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[5,2,4,7,1,3,6] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[5,2,6,1,3,4,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[5,2,6,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[5,2,7,1,3,4,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[5,3,1,2,4,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[5,3,2,1,4,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[5,3,2,4,6,7,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[5,3,2,6,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[5,3,2,7,1,4,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[5,3,4,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[5,3,4,2,6,7,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[5,3,4,7,1,2,6] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[5,3,6,1,2,4,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[5,3,6,7,1,2,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[5,3,7,1,2,4,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[5,3,7,2,6,1,4] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[5,4,1,2,3,6,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[5,4,1,3,6,7,2] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[5,4,2,1,3,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[5,4,2,3,6,7,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[5,4,2,6,1,3,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[5,4,2,7,1,3,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[5,4,3,1,2,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[5,4,3,2,7,1,6] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[5,4,3,6,1,2,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[5,4,3,7,1,2,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[5,4,6,1,2,3,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[5,4,6,7,1,2,3] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[5,4,7,1,2,3,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[5,4,7,2,6,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[5,4,7,3,6,1,2] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[5,6,1,2,3,4,7] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[5,6,1,2,4,7,3] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[5,6,1,3,4,7,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[5,6,1,3,7,2,4] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[5,6,1,4,7,2,3] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[5,6,1,7,2,3,4] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 5
[5,6,2,3,4,7,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[5,6,2,3,7,1,4] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 4
[5,6,2,4,1,3,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[5,6,2,4,7,1,3] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[5,6,2,7,1,3,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[5,6,3,4,7,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[5,6,3,7,1,2,4] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[5,6,4,7,1,2,3] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 4
[5,6,7,1,2,3,4] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 5
[5,6,7,1,2,4,3] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[5,6,7,1,3,2,4] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[5,6,7,1,3,4,2] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[5,6,7,1,4,2,3] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[5,6,7,1,4,3,2] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[5,6,7,2,1,3,4] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[5,6,7,2,3,1,4] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 4
[5,6,7,2,3,4,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 4
[5,6,7,2,4,1,3] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[5,6,7,2,4,3,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[5,6,7,3,1,2,4] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[5,6,7,3,4,1,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 4
[5,6,7,3,4,2,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 3
[5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 4
[5,6,7,4,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 2
[5,7,1,2,3,4,6] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[5,7,1,2,3,6,4] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[5,7,1,2,4,6,3] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[5,7,1,3,4,6,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[5,7,1,3,6,2,4] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[5,7,1,4,6,2,3] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[5,7,1,6,4,3,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[5,7,2,3,4,6,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[5,7,2,3,6,1,4] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[5,7,2,4,1,3,6] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[5,7,2,4,6,1,3] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[5,7,2,6,1,3,4] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[5,7,2,6,1,4,3] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[5,7,2,6,4,1,3] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[5,7,2,6,4,3,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[5,7,3,2,6,1,4] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[5,7,3,4,1,2,6] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[5,7,3,4,6,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[5,7,3,6,1,2,4] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[5,7,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[5,7,3,6,2,1,4] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[5,7,3,6,2,4,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[5,7,3,6,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[5,7,3,6,4,2,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[5,7,4,2,6,1,3] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[5,7,4,3,6,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[5,7,4,6,1,2,3] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[5,7,4,6,1,3,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[5,7,4,6,2,1,3] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[5,7,4,6,2,3,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[5,7,4,6,3,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[5,7,4,6,3,2,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[5,7,6,2,4,1,3] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[5,7,6,3,4,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[5,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
[6,1,2,3,4,5,7] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 5
[6,1,2,3,4,7,5] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 5
[6,1,2,3,5,7,4] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[6,1,2,3,7,4,5] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 5
[6,1,2,4,5,7,3] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[6,1,2,7,3,4,5] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 5
[6,1,3,4,5,7,2] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[6,1,4,3,5,7,2] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[6,1,5,2,4,7,3] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[6,1,5,3,4,7,2] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[6,1,7,2,3,4,5] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 5
[6,2,1,3,4,5,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[6,2,3,4,5,7,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[6,2,4,1,3,5,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,2,4,3,5,7,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[6,2,4,7,1,3,5] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[6,2,5,1,3,4,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,2,5,3,4,7,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[6,2,5,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[6,2,7,1,3,4,5] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,3,1,2,4,5,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[6,3,2,1,4,5,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[6,3,2,4,5,7,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[6,3,2,5,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,3,2,7,1,4,5] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,3,4,1,2,5,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,3,4,2,5,7,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[6,3,4,7,1,2,5] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[6,3,5,1,2,4,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,3,5,7,1,2,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[6,3,7,1,2,4,5] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,3,7,2,5,1,4] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[6,4,1,2,3,5,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[6,4,1,3,5,7,2] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[6,4,2,1,3,5,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[6,4,2,3,5,7,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[6,4,2,5,1,3,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,4,2,7,1,3,5] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,4,3,1,2,5,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[6,4,3,2,1,5,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[6,4,3,2,7,1,5] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[6,4,3,5,1,2,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,4,3,7,1,2,5] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,4,5,1,2,3,7] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,4,5,7,1,2,3] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[6,4,7,1,2,3,5] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[6,4,7,3,5,1,2] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[6,5,1,2,3,4,7] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[6,5,1,2,4,7,3] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[6,5,1,3,4,7,2] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[6,5,2,1,3,4,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[6,5,2,3,4,7,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[6,5,2,4,1,3,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,5,2,7,1,3,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,5,3,1,2,4,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[6,5,3,2,1,4,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[6,5,3,2,7,1,4] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[6,5,3,4,1,2,7] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,5,3,7,1,2,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,5,4,1,2,3,7] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[6,5,4,2,1,3,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[6,5,4,2,7,1,3] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[6,5,4,3,1,2,7] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 1
[6,5,4,3,7,1,2] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[6,5,4,7,1,2,3] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[6,5,7,1,2,3,4] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[6,5,7,2,4,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[6,5,7,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[6,7,1,2,3,4,5] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 5
[6,7,1,2,3,5,4] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[6,7,1,2,4,5,3] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[6,7,1,3,4,5,2] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[6,7,1,3,5,2,4] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[6,7,1,4,5,2,3] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[6,7,1,5,4,3,2] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[6,7,2,3,4,5,1] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 4
[6,7,2,3,5,1,4] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[6,7,2,4,1,3,5] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[6,7,2,4,5,1,3] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[6,7,2,5,1,3,4] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[6,7,2,5,1,4,3] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[6,7,2,5,4,1,3] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[6,7,2,5,4,3,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[6,7,3,2,5,1,4] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[6,7,3,4,1,2,5] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[6,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 4
[6,7,3,5,1,2,4] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[6,7,3,5,1,4,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[6,7,3,5,2,1,4] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[6,7,3,5,2,4,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[6,7,3,5,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[6,7,3,5,4,2,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[6,7,4,2,5,1,3] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[6,7,4,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[6,7,4,5,1,2,3] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 4
[6,7,4,5,1,3,2] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[6,7,4,5,2,1,3] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[6,7,4,5,2,3,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
[6,7,4,5,3,1,2] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 3
[6,7,4,5,3,2,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
[6,7,5,2,4,1,3] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[6,7,5,3,4,1,2] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
[6,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
[7,1,2,3,4,5,6] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 5
[7,1,2,3,4,6,5] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[7,1,2,3,5,6,4] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[7,1,2,4,5,6,3] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[7,1,3,4,5,6,2] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[7,1,4,3,5,6,2] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,1,5,2,4,6,3] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,1,5,3,4,6,2] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,1,6,2,3,5,4] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,1,6,2,4,5,3] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,1,6,3,4,5,2] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,2,1,3,4,5,6] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[7,2,3,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 4
[7,2,4,1,3,5,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,2,4,3,5,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,2,4,6,1,3,5] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[7,2,5,1,3,4,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,2,5,3,4,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,2,5,6,1,3,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[7,2,6,1,3,4,5] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,2,6,3,4,5,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,3,1,2,4,5,6] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[7,3,2,1,4,5,6] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,3,2,4,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,3,2,5,1,4,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,3,2,6,1,4,5] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,3,4,1,2,5,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,3,4,2,5,6,1] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 3
[7,3,4,6,1,2,5] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[7,3,5,1,2,4,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,3,5,6,1,2,4] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[7,3,6,1,2,4,5] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,3,6,2,5,1,4] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[7,4,1,2,3,5,6] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[7,4,1,3,5,6,2] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,4,2,1,3,5,6] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,4,2,3,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,4,2,5,1,3,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,4,2,6,1,3,5] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,4,3,1,2,5,6] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,4,3,2,1,5,6] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,4,3,2,6,1,5] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,4,3,5,1,2,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,4,3,6,1,2,5] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,4,5,1,2,3,6] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,4,5,6,1,2,3] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 4
[7,4,6,1,2,3,5] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,4,6,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[7,4,6,3,5,1,2] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[7,5,1,2,3,4,6] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[7,5,1,2,4,6,3] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,5,1,3,4,6,2] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,5,2,1,3,4,6] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,5,2,3,4,6,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,5,2,4,1,3,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,5,2,6,1,3,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,5,3,1,2,4,6] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,5,3,2,1,4,6] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,5,3,2,6,1,4] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,5,3,4,1,2,6] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,5,3,6,1,2,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,5,4,1,2,3,6] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,5,4,2,1,3,6] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,5,4,2,6,1,3] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,5,4,3,1,2,6] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,5,4,3,2,1,6] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 1
[7,5,4,3,6,1,2] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,5,4,6,1,2,3] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,5,6,1,2,3,4] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 4
[7,5,6,2,4,1,3] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[7,5,6,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
[7,6,1,2,3,4,5] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 4
[7,6,1,2,3,5,4] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,6,1,2,4,5,3] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,6,1,3,4,5,2] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,6,2,1,3,4,5] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,6,2,3,4,5,1] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 3
[7,6,2,4,1,3,5] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,6,2,5,1,3,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,6,3,1,2,4,5] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,6,3,2,1,4,5] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,6,3,2,5,1,4] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,6,3,4,1,2,5] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,6,3,5,1,2,4] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,6,4,1,2,3,5] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,6,4,2,1,3,5] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,6,4,2,5,1,3] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,6,4,3,1,2,5] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,6,4,3,2,1,5] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 1
[7,6,4,3,5,1,2] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,6,4,5,1,2,3] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 3
[7,6,5,1,2,3,4] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 3
[7,6,5,2,1,3,4] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,6,5,2,4,1,3] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,6,5,3,1,2,4] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,6,5,3,2,1,4] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 1
[7,6,5,3,4,1,2] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
[7,6,5,4,1,2,3] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 2
[7,6,5,4,2,1,3] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 1
[7,6,5,4,3,1,2] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 1
[7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => 0
[8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1] => 0
[7,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
[8,6,7,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1
[7,6,8,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1
[6,7,8,5,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[7,8,5,6,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[5,6,7,8,4,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[8,7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1
[8,7,5,4,6,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1
[8,6,5,4,7,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1
[8,5,6,4,7,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[7,6,5,4,8,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1
[7,5,6,4,8,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[6,5,7,4,8,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[4,5,6,7,8,3,2,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[7,8,5,6,3,4,2,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[5,6,7,8,3,4,2,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[6,7,8,3,4,5,2,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[3,4,5,6,7,8,2,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[8,7,6,5,4,2,3,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1
[4,5,6,7,8,2,3,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[8,7,6,5,3,2,4,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1
[7,8,5,6,2,3,4,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[5,6,7,8,2,3,4,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[8,7,6,4,3,2,5,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1
[8,7,6,3,4,2,5,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,7,5,4,3,2,6,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1
[8,7,5,3,4,2,6,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,7,4,3,5,2,6,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,7,2,3,4,5,6,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[8,6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1
[8,5,6,4,3,2,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[8,6,5,3,4,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,6,4,3,5,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,5,4,3,6,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,4,5,3,6,2,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,6,2,3,4,5,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[8,4,2,3,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[8,3,2,4,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[8,2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[7,6,5,4,3,2,8,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1
[6,7,5,4,3,2,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[7,5,6,4,3,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[6,5,7,4,3,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[7,6,5,3,4,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[7,6,4,3,5,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[7,5,4,3,6,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[7,4,5,3,6,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[6,5,4,3,7,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[6,4,5,3,7,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[5,4,6,3,7,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[6,7,4,5,2,3,8,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[7,6,2,3,4,5,8,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[7,5,2,3,4,6,8,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[7,3,2,4,5,6,8,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[7,2,3,4,5,6,8,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[6,5,2,3,4,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[6,2,3,4,5,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[3,4,5,2,6,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[5,4,2,3,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[5,3,2,4,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[5,2,3,4,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[4,3,2,5,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[3,4,2,5,6,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[4,2,3,5,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[3,2,4,5,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[2,3,4,5,6,7,8,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 6
[8,7,6,5,4,3,1,2] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1
[8,7,6,5,3,4,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,7,5,6,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[8,6,5,7,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[7,6,5,8,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[5,6,7,8,3,4,1,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[8,6,5,4,3,7,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[7,6,5,4,3,8,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[5,6,4,3,7,8,1,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,4,5,6,7,8,1,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[8,7,6,5,4,2,1,3] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1
[8,7,6,5,4,1,2,3] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,6,4,5,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,6,7,4,5,1,2,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,7,8,4,5,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[8,7,5,4,6,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,4,5,6,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[7,8,4,5,6,1,2,3] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[8,6,5,4,7,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,6,4,5,7,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,5,4,6,7,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[7,6,5,4,8,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[6,7,4,5,8,1,2,3] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[7,5,4,6,8,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[6,5,4,7,8,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[4,5,6,7,8,1,2,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[8,7,6,5,3,2,1,4] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1
[8,7,6,5,3,1,2,4] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,6,5,2,1,3,4] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,6,5,1,2,3,4] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,5,6,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,8,5,6,1,2,3,4] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[8,6,5,7,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,5,6,7,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[7,6,5,8,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,5,6,8,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,5,7,8,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[5,6,7,8,1,2,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[8,7,6,4,3,2,1,5] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1
[8,7,6,4,3,1,2,5] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,6,3,4,1,2,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,6,7,3,4,1,2,5] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,7,8,3,4,1,2,5] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[8,7,6,4,2,1,3,5] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,6,4,1,2,3,5] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,6,3,2,1,4,5] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,6,3,1,2,4,5] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,6,2,1,3,4,5] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,6,1,2,3,4,5] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,6,7,1,2,3,4,5] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,6,8,1,2,3,4,5] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,7,8,1,2,3,4,5] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[8,7,5,4,3,2,1,6] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1
[8,7,5,4,3,1,2,6] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,5,3,4,1,2,6] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,5,4,1,2,3,6] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,4,5,1,2,3,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,8,4,5,1,2,3,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[8,7,5,3,2,1,4,6] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,5,3,1,2,4,6] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,5,2,1,3,4,6] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,5,1,2,3,4,6] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,7,4,3,2,1,5,6] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,7,3,4,1,2,5,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,8,3,4,1,2,5,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[8,7,4,2,1,3,5,6] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,4,1,2,3,5,6] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,7,3,2,1,4,5,6] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,7,2,1,3,4,5,6] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,7,1,2,3,4,5,6] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[7,8,1,2,3,4,5,6] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[8,6,5,4,3,2,1,7] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1
[8,6,5,4,3,1,2,7] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,6,5,3,4,1,2,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,5,6,3,4,1,2,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,5,4,3,6,1,2,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,6,5,4,2,1,3,7] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,6,5,4,1,2,3,7] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,6,4,5,1,2,3,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,4,5,6,1,2,3,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[8,6,5,3,2,1,4,7] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,6,5,2,1,3,4,7] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,6,5,1,2,3,4,7] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,5,6,1,2,3,4,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,6,4,3,2,1,5,7] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,6,4,3,1,2,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,6,3,4,1,2,5,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,6,4,2,1,3,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,6,4,1,2,3,5,7] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,6,3,2,1,4,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,6,1,2,3,4,5,7] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[8,5,4,3,2,1,6,7] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[8,5,3,4,1,2,6,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,5,4,2,1,3,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,5,4,1,2,3,6,7] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,4,5,1,2,3,6,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,5,3,2,1,4,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,5,3,1,2,4,6,7] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,5,2,1,3,4,6,7] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,5,1,2,3,4,6,7] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[8,4,3,2,1,5,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[8,3,4,1,2,5,6,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,4,2,1,3,5,6,7] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,4,1,2,3,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[8,3,2,1,4,5,6,7] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[8,3,1,2,4,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[8,2,1,3,4,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[8,1,2,3,4,5,6,7] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 6
[7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => 1
[2,3,4,5,6,7,1,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 6
[7,6,5,4,3,1,2,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[7,6,5,3,4,1,2,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[6,5,4,3,7,1,2,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[3,4,5,6,7,1,2,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[7,6,5,4,2,1,3,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[7,6,5,4,1,2,3,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[7,4,5,6,1,2,3,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[5,4,6,7,1,2,3,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[4,5,6,7,1,2,3,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[7,6,5,3,2,1,4,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[7,6,5,2,1,3,4,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[7,6,5,1,2,3,4,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[7,5,6,1,2,3,4,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,5,7,1,2,3,4,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[5,6,7,1,2,3,4,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[7,6,4,3,2,1,5,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[7,6,4,3,1,2,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[6,7,3,4,1,2,5,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[7,6,4,2,1,3,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[7,6,3,2,1,4,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[7,6,1,2,3,4,5,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[6,7,1,2,3,4,5,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[7,5,4,3,2,1,6,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[7,5,4,3,1,2,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[7,4,5,1,2,3,6,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,5,3,2,1,4,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[7,5,3,1,2,4,6,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[7,5,1,2,3,4,6,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[7,4,3,2,1,5,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[7,4,3,1,2,5,6,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[7,3,4,1,2,5,6,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,4,1,2,3,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[7,3,2,1,4,5,6,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[7,3,1,2,4,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[7,2,1,3,4,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[7,1,2,3,4,5,6,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 6
[6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => 2
[2,3,4,5,6,1,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 6
[6,5,4,3,1,2,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[5,6,3,4,1,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,4,3,6,1,2,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,5,4,2,1,3,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[6,5,4,1,2,3,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[4,5,6,1,2,3,7,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[6,5,3,2,1,4,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[6,4,3,2,1,5,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[6,4,3,1,2,5,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[6,4,2,1,3,5,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[6,4,1,2,3,5,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[6,3,1,2,4,5,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[6,1,2,3,4,5,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 6
[5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => 3
[2,3,4,5,1,6,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 6
[5,4,3,1,2,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[5,3,4,1,2,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[4,3,5,1,2,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[5,4,2,1,3,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[5,4,1,2,3,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[4,5,1,2,3,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[5,3,2,1,4,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[5,3,1,2,4,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[5,2,1,3,4,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[5,1,2,3,4,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 6
[4,3,2,1,5,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 4
[4,3,1,2,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[4,2,1,3,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[4,1,2,3,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 6
[3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => 5
[3,1,2,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 6
[2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => 6
[1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => [1,2,3,4,5,6,7,8] => 7
[6,8,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
[5,8,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
[5,7,8,6,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[5,6,8,7,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[4,8,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
[4,7,8,6,5,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[4,6,8,7,5,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[4,6,7,8,5,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[4,5,8,7,6,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[4,5,7,8,6,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[4,5,6,8,7,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[3,8,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
[3,7,8,6,5,4,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[3,6,8,7,5,4,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[3,5,8,7,6,4,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[3,5,7,8,6,4,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[3,5,6,8,7,4,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[3,5,6,7,8,4,2,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[3,4,8,7,6,5,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[3,4,6,7,8,5,2,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[3,4,5,8,7,6,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[3,4,5,7,8,6,2,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[3,4,5,6,8,7,2,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,8,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
[2,7,8,6,5,4,3,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[2,6,8,7,5,4,3,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[2,6,7,8,5,4,3,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[2,5,8,7,6,4,3,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[2,5,6,7,8,4,3,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,4,8,7,6,5,3,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[2,4,7,8,6,5,3,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[2,4,6,8,7,5,3,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[2,4,6,7,8,5,3,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,4,5,7,8,6,3,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,4,5,6,8,7,3,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,4,5,6,7,8,3,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[2,3,8,7,6,5,4,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[2,3,6,7,8,5,4,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,3,5,7,8,6,4,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,3,5,6,8,7,4,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,3,5,6,7,8,4,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[2,3,4,8,7,6,5,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[2,3,4,7,8,6,5,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,3,4,6,8,7,5,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,3,4,6,7,8,5,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[2,3,4,5,8,7,6,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[2,3,4,5,7,8,6,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[2,3,4,5,6,8,7,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[5,7,6,4,3,2,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[4,7,6,5,3,2,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[2,7,6,5,4,3,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[2,4,5,3,6,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[2,3,5,4,6,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[2,4,3,5,6,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
[1,7,8,6,5,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[1,6,8,7,5,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[1,6,7,8,5,4,3,2] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,5,8,7,6,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[1,5,6,7,8,4,3,2] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,4,8,7,6,5,3,2] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[1,4,7,8,6,5,3,2] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,4,6,8,7,5,3,2] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,4,6,7,8,5,3,2] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,4,5,8,7,6,3,2] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,4,5,6,7,8,3,2] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,3,8,7,6,5,4,2] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[1,3,7,8,6,5,4,2] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,3,6,8,7,5,4,2] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,3,6,7,8,5,4,2] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,3,5,8,7,6,4,2] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,3,5,7,8,6,4,2] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,3,5,6,8,7,4,2] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,3,5,6,7,8,4,2] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,3,4,8,7,6,5,2] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,3,4,6,7,8,5,2] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,3,4,5,8,7,6,2] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,3,4,5,7,8,6,2] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,3,4,5,6,8,7,2] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,7,6,5,4,3,8,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[1,4,5,3,6,7,8,2] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,4,3,5,6,7,8,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[1,3,4,5,6,7,8,2] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 6
[2,1,4,5,6,7,8,3] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 2
[1,2,7,8,6,5,4,3] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,2,6,7,8,5,4,3] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,5,8,7,6,4,3] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,2,5,6,8,7,4,3] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,5,6,7,8,4,3] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,4,8,7,6,5,3] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,2,4,7,8,6,5,3] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,4,6,8,7,5,3] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,4,6,7,8,5,3] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,4,5,8,7,6,3] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,4,5,7,8,6,3] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,4,5,6,8,7,3] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,5,4,6,7,8,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,2,4,5,6,7,8,3] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 6
[2,1,3,5,6,7,8,4] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 3
[1,2,3,7,8,6,5,4] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,3,6,8,7,5,4] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,3,6,7,8,5,4] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,3,5,8,7,6,4] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,3,5,7,8,6,4] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,3,5,6,8,7,4] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,3,5,6,7,8,4] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 6
[2,1,3,4,6,7,8,5] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,4,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 4
[1,2,3,4,7,8,6,5] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,3,4,6,8,7,5] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,3,4,6,7,8,5] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 6
[5,4,3,2,1,7,8,6] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[2,1,3,4,5,7,8,6] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,4,5,8,7,6] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 5
[1,2,3,4,5,7,8,6] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 6
[2,1,4,3,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[5,4,3,2,1,6,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[2,1,3,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 6
[1,3,4,5,6,7,2,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 6
[2,1,4,5,6,7,3,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,4,5,6,7,3,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 6
[1,2,3,5,6,7,4,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 6
[2,3,4,1,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,3,4,2,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,4,3,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,3,4,6,7,5,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 6
[2,3,4,5,1,7,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,3,4,5,2,7,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,2,4,5,3,7,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,2,3,5,4,7,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[2,3,4,1,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,3,4,2,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,4,3,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[2,1,3,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,3,4,5,7,6,8] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 6
[1,3,4,5,6,2,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 6
[1,2,4,5,6,3,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 6
[1,2,3,5,6,4,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 6
[2,1,3,4,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[1,2,3,4,6,5,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 6
[1,3,4,5,2,6,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 6
[1,2,3,5,4,6,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 6
[1,2,6,4,5,7,8,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,2,7,4,5,6,8,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,2,8,4,5,6,7,3] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,3,6,4,5,7,8,2] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,3,7,4,5,6,8,2] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,3,8,4,5,6,7,2] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,5,3,4,6,7,8,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[1,7,3,4,5,6,8,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[1,8,3,4,5,6,7,2] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[1,8,6,5,4,3,7,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[2,3,6,4,5,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[2,3,7,4,5,6,8,1] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[2,3,8,4,5,6,7,1] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[2,5,3,4,6,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[2,6,3,4,5,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[2,8,3,4,5,6,7,1] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[7,2,5,4,6,3,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[7,2,6,4,5,3,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,2,6,4,5,3,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,2,7,4,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[7,2,6,5,4,3,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[8,2,6,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[8,2,7,5,6,4,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[8,2,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1
[7,3,5,4,6,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[7,3,6,4,5,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,3,6,4,5,2,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,3,7,4,6,5,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[7,3,6,5,4,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[8,3,6,5,4,2,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[8,3,7,5,6,4,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[8,3,7,6,5,4,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1
[2,4,1,3,6,5,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[2,1,4,6,3,5,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[2,4,1,6,3,5,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[2,4,6,1,3,5,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[2,1,4,3,6,8,5,7] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[2,4,1,3,6,8,5,7] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[2,1,4,6,3,8,5,7] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[2,4,1,6,3,8,5,7] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[2,4,6,1,3,8,5,7] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[2,1,4,6,8,3,5,7] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[2,4,1,6,8,3,5,7] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[2,4,6,1,8,3,5,7] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[2,4,6,8,1,3,5,7] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[2,4,6,1,3,5,7,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[2,4,6,7,1,3,5,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[2,1,4,6,7,8,3,5] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[2,4,6,7,8,1,3,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,1,4,3,7,5,8,6] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[2,4,1,3,7,5,8,6] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[2,1,4,7,3,5,8,6] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[2,4,1,7,3,5,8,6] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[2,4,7,1,3,5,8,6] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[2,1,4,3,7,8,5,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[2,4,1,3,7,8,5,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[2,4,1,7,3,8,5,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[2,1,4,7,8,3,5,6] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[2,4,1,7,8,3,5,6] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[2,4,7,1,8,3,5,6] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[2,4,7,8,1,3,5,6] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[2,1,4,5,7,8,3,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[2,4,5,7,8,1,3,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,4,8,1,3,5,6,7] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[2,1,4,5,6,8,3,7] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[2,4,5,6,8,1,3,7] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,4,1,3,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[2,4,5,6,1,7,3,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[2,4,5,6,7,1,3,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[2,4,5,6,7,8,1,3] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[2,1,5,3,6,4,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[2,5,1,3,6,4,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[2,1,5,6,3,4,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[2,5,1,6,3,4,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[2,5,6,1,3,4,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[2,1,5,3,6,8,4,7] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[2,5,1,3,6,8,4,7] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[2,5,6,1,3,8,4,7] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[2,1,5,6,8,3,4,7] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[2,5,1,6,8,3,4,7] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[2,5,6,8,1,3,4,7] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[2,1,5,6,7,8,3,4] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[2,5,6,7,8,1,3,4] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,1,5,3,7,4,8,6] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[2,5,1,3,7,4,8,6] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[2,1,5,7,3,4,8,6] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[2,5,1,7,3,4,8,6] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[2,5,7,1,3,4,8,6] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[2,1,5,3,7,8,4,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[2,5,1,3,7,8,4,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[2,1,5,7,3,8,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[2,1,5,7,8,3,4,6] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[2,5,1,7,8,3,4,6] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[2,5,7,1,8,3,4,6] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[2,5,7,8,1,3,4,6] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[2,3,5,7,1,4,6,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[2,3,5,7,8,1,4,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,5,8,1,3,4,6,7] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[2,3,5,8,1,4,6,7] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[2,1,3,5,6,8,4,7] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[2,3,5,6,8,1,4,7] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,5,1,3,4,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[2,3,5,6,7,1,4,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[2,3,5,6,7,8,1,4] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[2,1,6,3,7,4,8,5] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[2,6,1,3,7,4,8,5] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[2,1,6,7,3,4,8,5] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[2,6,1,7,3,4,8,5] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[2,6,7,1,3,4,8,5] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[2,1,6,3,7,8,4,5] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[2,6,1,3,7,8,4,5] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[2,6,1,7,3,8,4,5] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[2,6,7,1,3,8,4,5] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[2,1,6,7,8,3,4,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[2,6,1,7,8,3,4,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[2,6,7,1,8,3,4,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[2,6,7,8,1,3,4,5] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[2,6,7,1,3,4,5,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[2,1,3,6,7,8,4,5] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[2,3,6,7,8,1,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,6,8,1,3,4,5,7] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[2,3,4,6,8,1,5,7] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,6,1,3,4,5,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[2,3,4,6,1,7,5,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[2,3,4,6,7,1,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[2,3,4,6,7,8,1,5] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[2,7,8,1,3,4,5,6] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[2,3,7,8,1,4,5,6] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[2,1,3,4,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[2,3,4,7,8,1,5,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[2,7,1,3,4,5,6,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[2,1,3,4,7,5,6,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[2,3,4,5,7,1,6,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[2,3,4,5,7,8,1,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[2,8,1,3,4,5,6,7] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[2,1,3,4,8,5,6,7] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[2,1,3,4,5,8,6,7] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[2,3,4,1,5,8,6,7] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[2,3,4,5,1,8,6,7] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[2,3,4,5,8,1,6,7] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[2,3,4,5,6,8,1,7] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[3,1,4,2,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[3,4,1,2,6,5,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[3,1,4,6,2,5,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[3,4,1,6,2,5,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[3,4,6,1,2,5,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[3,1,4,2,6,8,5,7] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[3,4,1,2,6,8,5,7] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[3,1,4,6,2,8,5,7] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[3,4,1,6,2,8,5,7] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[3,1,4,6,8,2,5,7] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[3,4,1,6,8,2,5,7] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[3,4,6,8,1,2,5,7] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[3,4,6,7,1,2,5,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[3,1,4,6,7,8,2,5] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[3,4,6,7,8,1,2,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[3,1,4,2,7,5,8,6] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[3,4,1,2,7,5,8,6] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[3,1,4,7,2,5,8,6] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[3,4,7,1,2,5,8,6] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[3,1,4,2,7,8,5,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[3,4,1,2,7,8,5,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[3,4,7,1,8,2,5,6] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[3,4,7,8,1,2,5,6] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[3,4,5,7,1,2,6,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[3,1,4,5,7,8,2,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[3,4,5,7,8,1,2,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[3,4,8,1,2,5,6,7] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[3,4,5,8,1,2,6,7] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[3,1,4,5,6,8,2,7] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[3,4,5,6,8,1,2,7] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[3,1,4,5,6,7,2,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[3,4,5,1,6,7,2,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[3,4,5,6,1,7,2,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[3,1,4,5,6,7,8,2] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[3,1,5,2,6,4,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[3,5,1,2,6,4,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[3,1,5,6,2,4,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[3,5,1,6,2,4,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[3,5,6,1,2,4,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[3,1,5,2,6,8,4,7] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[3,5,1,2,6,8,4,7] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[3,1,5,6,2,8,4,7] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[3,5,6,1,2,8,4,7] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[3,1,5,6,8,2,4,7] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[3,5,1,6,8,2,4,7] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[3,5,6,1,8,2,4,7] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[3,5,6,8,1,2,4,7] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[3,5,6,1,2,4,7,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[3,5,6,7,1,2,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[3,1,5,6,7,8,2,4] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[3,5,6,7,8,1,2,4] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[3,1,5,2,7,4,8,6] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[3,5,1,2,7,4,8,6] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[3,1,5,7,2,4,8,6] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[3,5,1,7,2,4,8,6] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[3,5,7,1,2,4,8,6] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[3,1,5,2,7,8,4,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[3,5,1,2,7,8,4,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[3,1,5,7,2,8,4,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[3,5,1,7,2,8,4,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[3,1,5,7,8,2,4,6] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[3,5,1,7,8,2,4,6] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[3,5,7,8,1,2,4,6] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[3,5,7,1,2,4,6,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[1,3,5,7,2,4,6,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[1,3,5,7,8,2,4,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[1,3,5,8,2,4,6,7] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[3,1,2,5,6,8,4,7] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,3,5,6,8,2,4,7] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[3,5,1,2,4,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[3,1,2,5,6,7,4,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,3,5,2,6,7,4,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,3,5,6,2,7,4,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,3,5,6,7,2,4,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[3,1,2,5,6,7,8,4] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,3,5,6,7,8,2,4] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[3,1,6,2,7,4,8,5] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[3,6,1,2,7,4,8,5] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[3,6,1,7,2,4,8,5] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[3,6,7,1,2,4,8,5] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[3,6,1,2,7,8,4,5] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[3,1,6,7,2,8,4,5] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[3,6,1,7,2,8,4,5] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[3,6,7,1,2,8,4,5] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[3,6,1,7,8,2,4,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[3,6,7,8,1,2,4,5] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[3,6,7,1,2,4,5,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[3,1,2,6,7,8,4,5] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,3,6,7,8,2,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[3,6,8,1,2,4,5,7] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[3,1,2,4,6,8,5,7] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,3,4,6,8,2,5,7] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[3,6,1,2,4,5,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[3,1,2,4,6,7,5,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,3,4,6,2,7,5,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,3,4,6,7,2,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[3,1,2,4,6,7,8,5] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[3,7,8,1,2,4,5,6] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[1,3,7,8,2,4,5,6] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[3,1,2,4,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,3,4,7,8,2,5,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[3,7,1,2,4,5,6,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[3,1,2,4,7,5,6,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[3,1,2,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,3,4,5,7,2,6,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[3,1,2,4,5,7,8,6] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,3,4,5,7,8,2,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[3,8,1,2,4,5,6,7] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[3,1,2,4,8,5,6,7] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[3,1,2,4,5,8,6,7] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,3,4,2,5,8,6,7] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,3,4,5,2,8,6,7] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,3,4,5,8,2,6,7] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[3,1,2,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,3,4,5,6,8,2,7] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[4,1,5,2,6,3,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[4,5,1,2,6,3,8,7] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[4,1,5,6,2,3,8,7] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[4,5,1,6,2,3,8,7] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[4,5,6,1,2,3,8,7] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[4,1,5,2,6,8,3,7] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[4,5,1,2,6,8,3,7] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[4,1,5,6,2,8,3,7] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[4,5,1,6,2,8,3,7] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[4,5,6,1,2,8,3,7] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[4,1,5,6,8,2,3,7] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[4,5,1,6,8,2,3,7] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[4,5,6,1,8,2,3,7] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[4,5,6,8,1,2,3,7] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[4,1,5,6,7,8,2,3] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[4,1,5,2,7,3,8,6] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[4,5,1,7,2,3,8,6] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[4,1,5,2,7,8,3,6] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => 6
[4,5,1,2,7,8,3,6] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[4,1,5,7,2,8,3,6] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[4,5,1,7,2,8,3,6] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[4,5,7,1,2,8,3,6] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[4,5,1,7,8,2,3,6] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[4,5,7,8,1,2,3,6] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[1,4,5,7,2,3,6,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[4,1,2,5,7,8,3,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,4,5,7,8,2,3,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[4,5,8,1,2,3,6,7] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[4,1,2,5,6,8,3,7] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,4,5,6,8,2,3,7] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[4,1,2,5,6,3,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[4,1,2,5,6,7,3,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,4,5,2,6,7,3,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,4,5,6,2,7,3,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,4,5,6,7,2,3,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[4,1,2,5,6,7,8,3] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,4,5,6,7,8,2,3] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[4,1,6,2,7,3,8,5] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[4,1,6,7,2,3,8,5] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[4,6,7,1,2,3,8,5] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[4,6,1,2,7,8,3,5] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[4,6,1,7,2,8,3,5] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => 6
[4,6,7,1,2,8,3,5] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[4,1,6,7,8,2,3,5] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[4,6,1,7,8,2,3,5] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[4,6,7,1,8,2,3,5] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[4,6,7,8,1,2,3,5] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 6
[4,6,7,1,2,3,5,8] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[1,4,6,7,2,3,5,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[1,4,6,7,8,2,3,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[4,6,8,1,2,3,5,7] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[1,4,6,8,2,3,5,7] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[4,1,2,3,6,8,5,7] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,2,4,6,8,3,5,7] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[4,6,1,2,3,5,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[4,1,2,3,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[4,1,2,3,6,7,5,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[4,1,2,3,6,7,8,5] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,4,6,7,8,3,5] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[4,7,8,1,2,3,5,6] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[1,4,7,8,2,3,5,6] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[4,1,2,3,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,2,4,7,8,3,5,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[4,7,1,2,3,5,6,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[4,1,2,3,7,5,6,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[4,1,2,3,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,4,5,7,3,6,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[4,1,2,3,5,7,8,6] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,4,5,7,8,3,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[4,8,1,2,3,5,6,7] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[4,1,2,3,8,5,6,7] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[4,1,2,3,5,8,6,7] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,4,3,5,8,6,7] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,4,5,3,8,6,7] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,2,4,5,8,3,6,7] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[4,1,2,3,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,4,5,6,8,3,7] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[5,1,6,2,7,3,8,4] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => 6
[5,6,1,2,7,3,8,4] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => 6
[5,1,6,7,2,3,8,4] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => 6
[5,6,1,7,2,3,8,4] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => 6
[5,6,7,1,2,3,8,4] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => 6
[5,6,1,2,7,8,3,4] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => 6
[5,1,6,7,2,8,3,4] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => 6
[5,6,7,1,2,8,3,4] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => 6
[5,1,6,7,8,2,3,4] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => 6
[5,6,1,7,8,2,3,4] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => 6
[5,6,7,1,8,2,3,4] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => 6
[1,5,6,7,2,3,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[5,1,2,6,7,8,3,4] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,5,6,7,8,2,3,4] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[5,6,8,1,2,3,4,7] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[1,5,6,8,2,3,4,7] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[5,1,2,3,6,8,4,7] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[5,1,2,3,6,4,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[5,1,2,3,6,7,4,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,5,3,6,7,4,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,5,6,3,7,4,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[5,1,2,3,6,7,8,4] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,5,6,7,8,3,4] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[5,7,8,1,2,3,4,6] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => 6
[1,5,7,8,2,3,4,6] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[5,1,2,3,7,8,4,6] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,2,5,7,8,3,4,6] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[5,7,1,2,3,4,6,8] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[1,2,5,3,4,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,3,5,7,4,6,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[5,1,2,3,4,7,8,6] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,5,7,8,4,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[5,8,1,2,3,4,6,7] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[5,1,2,3,8,4,6,7] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[5,1,2,3,4,8,6,7] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,5,3,4,8,6,7] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,3,5,4,8,6,7] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,2,3,5,8,4,6,7] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[5,1,2,3,4,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,5,6,8,4,7] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[1,6,7,8,2,3,4,5] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => 6
[6,1,2,3,7,8,4,5] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => 6
[1,2,6,7,8,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 6
[6,1,2,3,7,4,5,8] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[6,1,2,3,4,7,5,8] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,6,3,4,7,5,8] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,3,6,4,7,5,8] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,2,3,6,7,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[6,1,2,3,4,7,8,5] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,6,7,8,4,5] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[6,8,1,2,3,4,5,7] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => 6
[6,1,2,3,8,4,5,7] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[6,1,2,3,4,8,5,7] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,6,3,4,8,5,7] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,3,6,4,8,5,7] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,2,3,6,8,4,5,7] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[6,1,2,3,4,5,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,4,6,8,5,7] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[1,2,3,6,4,5,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 6
[7,1,2,3,8,4,5,6] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => 6
[7,1,2,3,4,8,5,6] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => 6
[1,2,7,3,4,8,5,6] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => 6
[1,2,3,7,4,8,5,6] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => 6
[1,2,3,7,8,4,5,6] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => 6
[7,1,2,3,4,5,8,6] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => 6
[1,2,3,4,7,8,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 6
[1,2,3,7,4,5,6,8] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 6
[1,2,3,4,7,5,6,8] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 6
[1,2,3,8,4,5,6,7] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => 6
[1,2,3,4,8,5,6,7] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => 6
[1,2,3,4,5,8,6,7] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => 6
[7,5,4,3,2,8,1,6] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[5,4,7,2,1,8,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[6,3,2,7,8,1,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[4,5,8,1,2,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[3,8,1,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[2,1,4,3,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 8
[3,4,1,2,6,5,8,7,10,9] => [[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => 8
[8,9,5,6,3,4,10,1,2,7] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => 6
[9,7,6,5,4,3,2,10,1,8] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => 2
[6,7,8,9,10,1,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[7,3,2,8,9,10,1,4,5,6] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 6
[8,5,4,3,2,9,10,1,6,7] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => 4
[9,7,5,10,3,8,2,6,1,4] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => 4
[10,9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,2,1] => 0
[4,2,5,1,3,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[5,2,4,1,3,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[3,2,6,1,4,5,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[4,2,6,1,3,5,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[5,3,6,1,2,4,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,2,4,1,3,5,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,3,5,1,2,4,7,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[5,3,7,1,2,4,6,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[5,4,7,1,2,3,6,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,2,7,1,3,4,5,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,3,7,1,2,4,5,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,4,7,1,2,3,5,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,3,5,1,2,4,6,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,3,6,1,2,4,5,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,4,6,1,2,3,5,8] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[3,2,8,1,4,5,6,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[4,2,8,1,3,5,6,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[5,4,8,1,2,3,6,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,2,8,1,3,4,5,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,3,8,1,2,4,5,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,4,8,1,2,3,5,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[6,5,8,1,2,3,4,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,2,8,1,3,4,5,6] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,3,8,1,2,4,5,6] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,4,8,1,2,3,5,6] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[7,5,8,1,2,3,4,6] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,2,4,1,3,5,6,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,3,5,1,2,4,6,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,3,6,1,2,4,5,7] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,3,7,1,2,4,5,6] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,4,7,1,2,3,5,6] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[8,5,7,1,2,3,4,6] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => 5
[3,2,5,7,1,4,6,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[4,2,5,7,1,3,6,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[5,2,4,7,1,3,6,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[4,2,6,7,1,3,5,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[5,2,6,7,1,3,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,2,5,7,1,3,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,3,5,7,1,2,4,8] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[3,2,5,8,1,4,6,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[4,2,5,8,1,3,6,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[4,3,5,8,1,2,6,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[5,2,4,8,1,3,6,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[3,2,6,8,1,4,5,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[4,2,6,8,1,3,5,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[5,2,6,8,1,3,4,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,2,4,8,1,3,5,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,3,4,8,1,2,5,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,2,5,8,1,3,4,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,3,5,8,1,2,4,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,4,5,8,1,2,3,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[3,2,7,8,1,4,5,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[4,3,7,8,1,2,5,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[5,3,7,8,1,2,4,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[5,4,7,8,1,2,3,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,2,7,8,1,3,4,5] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,3,7,8,1,2,4,5] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[6,4,7,8,1,2,3,5] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[7,2,4,8,1,3,5,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[7,3,4,8,1,2,5,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[7,3,5,8,1,2,4,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[7,4,5,8,1,2,3,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[7,4,6,8,1,2,3,5] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[8,3,4,6,1,2,5,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[8,3,5,6,1,2,4,7] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[8,2,4,7,1,3,5,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[8,2,5,7,1,3,4,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[8,3,5,7,1,2,4,6] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[8,2,6,7,1,3,4,5] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[8,4,6,7,1,2,3,5] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => 5
[4,6,2,5,1,3,7,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[4,6,3,5,1,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[3,7,2,5,1,4,6,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[4,7,3,5,1,2,6,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,7,2,4,1,3,6,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[3,7,2,6,1,4,5,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[4,7,3,6,1,2,5,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,7,2,6,1,3,4,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[6,7,2,5,1,3,4,8] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[4,8,2,5,1,3,6,7] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,8,2,4,1,3,6,7] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,8,3,4,1,2,6,7] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[3,8,2,6,1,4,5,7] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,8,3,6,1,2,4,7] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,8,4,6,1,2,3,7] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[6,8,3,5,1,2,4,7] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[3,8,2,7,1,4,5,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[4,8,2,7,1,3,5,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[4,8,3,7,1,2,5,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,8,2,7,1,3,4,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[5,8,3,7,1,2,4,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[6,8,2,7,1,3,4,5] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[6,8,3,7,1,2,4,5] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[6,8,5,7,1,2,3,4] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[7,8,2,4,1,3,5,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[7,8,2,5,1,3,4,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[7,8,3,5,1,2,4,6] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[7,8,4,6,1,2,3,5] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => 5
[4,3,2,6,1,5,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[5,3,2,6,1,4,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,3,2,5,1,4,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,5,2,4,1,3,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[4,3,2,7,1,5,6,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[5,3,2,7,1,4,6,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[5,4,3,7,1,2,6,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,3,2,7,1,4,5,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,4,2,7,1,3,5,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,4,3,7,1,2,5,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,5,2,7,1,3,4,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,5,3,7,1,2,4,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,3,2,5,1,4,6,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,4,2,5,1,3,6,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,3,2,6,1,4,5,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,4,2,6,1,3,5,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,4,3,6,1,2,5,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,5,2,6,1,3,4,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,5,3,6,1,2,4,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,6,3,5,1,2,4,8] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[4,3,2,8,1,5,6,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[5,3,2,8,1,4,6,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[5,4,3,8,1,2,6,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,3,2,8,1,4,5,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,4,2,8,1,3,5,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,4,3,8,1,2,5,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,5,2,8,1,3,4,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[6,5,3,8,1,2,4,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,3,2,8,1,4,5,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,4,2,8,1,3,5,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,4,3,8,1,2,5,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,5,3,8,1,2,4,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,5,4,8,1,2,3,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[7,6,2,8,1,3,4,5] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,3,2,5,1,4,6,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,4,2,5,1,3,6,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,3,2,6,1,4,5,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,4,2,6,1,3,5,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,5,3,6,1,2,4,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,6,2,4,1,3,5,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,6,2,5,1,3,4,7] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,3,2,7,1,4,5,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,4,2,7,1,3,5,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,4,3,7,1,2,5,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,5,2,7,1,3,4,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,5,3,7,1,2,4,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,6,3,7,1,2,4,5] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,7,2,4,1,3,5,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,7,2,5,1,3,4,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,7,3,5,1,2,4,6] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,7,2,6,1,3,4,5] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,7,3,6,1,2,4,5] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[8,7,4,6,1,2,3,5] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 4
[4,6,3,5,8,1,2,7] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[5,6,2,4,8,1,3,7] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[4,7,2,5,8,1,3,6] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[4,7,3,5,8,1,2,6] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[5,7,2,4,8,1,3,6] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[5,7,3,4,8,1,2,6] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[4,7,3,6,8,1,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[5,7,2,6,8,1,3,4] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[5,7,4,6,8,1,2,3] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[6,7,3,4,8,1,2,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[6,7,3,5,8,1,2,4] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[3,8,2,5,7,1,4,6] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[4,8,3,5,7,1,2,6] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[5,8,2,4,7,1,3,6] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[3,8,2,6,7,1,4,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[5,8,2,6,7,1,3,4] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[5,8,3,6,7,1,2,4] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[6,8,2,5,7,1,3,4] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[6,8,4,5,7,1,2,3] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[7,8,2,4,6,1,3,5] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[7,8,2,5,6,1,3,4] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[7,8,3,5,6,1,2,4] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => 5
[4,3,2,6,8,1,5,7] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[5,3,2,6,8,1,4,7] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[5,4,2,6,8,1,3,7] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[5,4,3,6,8,1,2,7] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[6,3,2,5,8,1,4,7] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[6,4,3,5,8,1,2,7] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[6,5,2,4,8,1,3,7] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[4,3,2,7,8,1,5,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[5,3,2,7,8,1,4,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[5,4,2,7,8,1,3,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[5,4,3,7,8,1,2,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[6,4,2,7,8,1,3,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[6,4,3,7,8,1,2,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[6,5,2,7,8,1,3,4] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[7,4,2,5,8,1,3,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[7,4,3,5,8,1,2,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[7,5,2,6,8,1,3,4] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[7,5,3,6,8,1,2,4] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[7,6,2,4,8,1,3,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[7,6,3,5,8,1,2,4] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,3,2,5,7,1,4,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,4,2,5,7,1,3,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,5,2,4,7,1,3,6] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,3,2,6,7,1,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,5,2,6,7,1,3,4] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,5,3,6,7,1,2,4] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,6,2,4,7,1,3,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,7,2,4,6,1,3,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,7,3,4,6,1,2,5] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[8,7,2,5,6,1,3,4] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => 4
[4,3,7,2,6,1,5,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,3,7,2,6,1,4,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,4,7,2,6,1,3,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,3,7,2,5,1,4,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,4,7,2,5,1,3,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,4,7,3,5,1,2,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[7,3,6,2,5,1,4,8] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[4,3,8,2,6,1,5,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,3,8,2,6,1,4,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,4,8,2,6,1,3,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,4,8,3,6,1,2,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,4,8,2,5,1,3,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,4,8,3,5,1,2,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,5,8,2,4,1,3,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,5,8,3,4,1,2,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[4,3,8,2,7,1,5,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,3,8,2,7,1,4,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,4,8,2,7,1,3,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,4,8,3,7,1,2,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,3,8,2,7,1,4,5] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[6,4,8,2,7,1,3,5] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[7,3,8,2,5,1,4,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[7,4,8,3,5,1,2,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[7,5,8,2,4,1,3,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[7,5,8,2,6,1,3,4] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[7,5,8,4,6,1,2,3] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[7,6,8,2,5,1,3,4] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[7,6,8,3,5,1,2,4] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,3,6,2,5,1,4,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,5,6,2,4,1,3,7] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,3,7,2,5,1,4,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,4,7,3,5,1,2,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,5,7,2,4,1,3,6] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,3,7,2,6,1,4,5] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,4,7,2,6,1,3,5] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,4,7,3,6,1,2,5] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,5,7,2,6,1,3,4] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,6,7,2,4,1,3,5] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,6,7,2,5,1,3,4] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[8,6,7,3,5,1,2,4] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 4
[5,4,3,2,7,1,6,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[6,4,3,2,7,1,5,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[6,5,3,2,7,1,4,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[6,5,4,2,7,1,3,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[7,5,3,2,6,1,4,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[7,5,4,2,6,1,3,8] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[5,4,3,2,8,1,6,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[6,5,3,2,8,1,4,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[6,5,4,2,8,1,3,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[6,5,4,3,8,1,2,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[7,5,3,2,8,1,4,6] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[7,5,4,2,8,1,3,6] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[7,6,3,2,8,1,4,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[7,6,4,3,8,1,2,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[7,6,5,2,8,1,3,4] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,5,3,2,6,1,4,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,5,4,2,6,1,3,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,6,5,2,4,1,3,7] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,5,3,2,7,1,4,6] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,6,3,2,7,1,4,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,6,4,3,7,1,2,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,3,2,6,1,4,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,4,2,6,1,3,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,4,3,6,1,2,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,5,2,6,1,3,4] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,6,2,4,1,3,5] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,6,2,5,1,3,4] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[8,7,6,3,5,1,2,4] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => 3
[4,8,3,7,2,6,1,5] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[5,8,3,7,2,6,1,4] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[5,8,4,7,2,6,1,3] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[5,8,4,7,3,6,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[6,8,3,7,2,5,1,4] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[6,8,4,7,2,5,1,3] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[6,8,4,7,3,5,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[6,8,5,7,2,4,1,3] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[6,8,5,7,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[7,8,3,6,2,5,1,4] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[7,8,4,6,2,5,1,3] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[7,8,4,6,3,5,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[7,8,5,6,2,4,1,3] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
[5,4,3,8,2,7,1,6] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[6,4,3,8,2,7,1,5] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[6,5,3,8,2,7,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[6,5,4,8,3,7,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[7,4,3,8,2,6,1,5] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[7,5,3,8,2,6,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[7,5,4,8,2,6,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[7,6,3,8,2,5,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[7,6,4,8,2,5,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[7,6,5,8,2,4,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,4,3,7,2,6,1,5] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,5,3,7,2,6,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,5,4,7,2,6,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,5,4,7,3,6,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,6,3,7,2,5,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,6,4,7,2,5,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,6,4,7,3,5,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,6,5,7,2,4,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,7,3,6,2,5,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,7,4,6,2,5,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,7,4,6,3,5,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[8,7,5,6,2,4,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => 3
[6,5,4,3,2,8,1,7] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[7,6,5,4,2,8,1,3] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,5,4,3,2,7,1,6] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,6,5,3,2,7,1,4] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,7,4,3,2,6,1,5] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,7,5,3,2,6,1,4] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,7,5,4,2,6,1,3] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,7,6,3,2,5,1,4] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,7,6,4,2,5,1,3] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[8,7,6,5,2,4,1,3] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => 2
[5,3,1,2,6,8,4,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,3,1,2,6,7,4,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[5,4,1,2,6,8,3,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,4,1,2,6,7,3,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[4,3,1,5,6,8,2,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,3,1,5,6,7,2,4] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,4,1,5,6,7,2,3] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[2,5,4,1,8,7,3,6] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[8,3,6,5,1,7,2,4] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[9,1,2,3,4,5,6,7,8] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 7
[8,1,2,3,4,5,6,9,7] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[7,1,2,3,4,5,9,6,8] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[7,1,2,3,4,5,8,9,6] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[6,1,2,3,4,7,8,9,5] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[5,1,2,3,6,7,8,9,4] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[4,1,2,5,6,7,8,9,3] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[3,1,4,5,6,7,8,9,2] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[2,9,1,3,4,5,6,7,8] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[9,3,1,2,4,5,6,7,8] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[9,4,1,2,3,5,6,7,8] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[5,9,1,2,3,4,6,7,8] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[9,6,1,2,3,4,5,7,8] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[9,7,1,2,3,4,5,6,8] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[8,9,1,2,3,4,5,6,7] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[2,6,9,1,3,4,5,7,8] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[9,3,4,1,2,5,6,7,8] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[9,3,7,1,2,4,5,6,8] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[9,3,8,1,2,4,5,6,7] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[9,5,4,1,2,3,6,7,8] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 5
[9,7,4,1,2,3,5,6,8] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 5
[9,8,4,1,2,3,5,6,7] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 5
[6,7,9,1,2,3,4,5,8] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[9,7,8,1,2,3,4,5,6] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[2,7,8,9,1,3,4,5,6] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 7
[9,3,4,8,1,2,5,6,7] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 6
[7,3,8,9,1,2,4,5,6] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 6
[9,8,4,5,1,2,3,6,7] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 5
[9,8,6,5,1,2,3,4,7] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[9,7,4,5,6,1,2,3,8] => [[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => 5
[8,9,4,5,6,1,2,3,7] => [[1,2,5,9],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9] => 6
[2,3,4,5,6,9,1,7,8] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[2,3,4,5,6,7,9,1,8] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[2,3,4,5,6,7,8,9,1] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 7
[] => [] => [] => 0
[5,6,7,8,1,3,4,2] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[5,6,7,8,1,2,4,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[5,6,7,8,2,4,1,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[5,6,7,8,2,4,3,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[5,6,7,8,1,4,3,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[6,7,8,9,10,1,4,5,3,2] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [10,9,6,7,8,1,2,3,4,5] => 6
[6,7,8,9,10,1,4,5,2,3] => [[1,2,3,4,5],[6,7,8],[9,10]] => [9,10,6,7,8,1,2,3,4,5] => 7
[6,7,8,9,10,1,3,4,5,2] => [[1,2,3,4,5],[6,7,8,9],[10]] => [10,6,7,8,9,1,2,3,4,5] => 7
[6,7,8,9,10,1,5,4,3,2] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 5
[6,7,8,9,10,5,4,3,2,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 4
[4,3,1,2,7,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,3,7,2,1,8,4,5] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[7,8,5,6,1,2,4,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[1,6,8,4,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[2,6,8,4,7,1,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[2,6,8,1,3,7,5,4] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[1,2,5,8,3,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,3,5,8,2,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,6,8,1,2,7,5,4] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[4,6,8,2,7,1,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[2,3,5,8,1,7,6,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[7,4,5,3,1,8,2,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[3,7,8,1,4,6,2,5] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[3,4,7,8,2,6,1,5] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[6,7,8,3,5,1,4,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[4,6,7,8,1,5,3,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,5,6,7,8,2,4,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,6,7,8,3,4,5,2] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,5,8,3,7,6,4,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[5,4,7,3,1,8,2,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[3,6,8,5,7,2,4,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[5,3,7,2,1,8,4,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[5,8,7,4,2,6,3,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[8,5,7,4,1,6,3,2] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[8,4,1,3,5,6,7,2] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[8,1,2,3,5,6,7,4] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[3,5,8,4,7,6,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[2,7,6,4,5,8,1,3] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,5,8,2,4,7,6,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[4,8,3,7,6,5,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[5,8,2,7,6,4,3,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[6,8,1,7,5,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[6,5,8,4,1,7,3,2] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[3,8,4,2,5,7,1,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[5,6,2,1,8,7,3,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[2,8,5,3,4,7,1,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,8,5,6,1,4,3,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[7,8,1,6,5,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[1,5,6,8,2,4,7,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[6,5,1,2,7,8,3,4] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[3,6,8,2,7,1,4,5] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[2,3,4,5,6,7,8,1,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 7
[2,3,4,5,6,8,9,1,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[2,3,4,5,7,8,9,1,6] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[2,3,4,6,7,8,9,1,5] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[2,3,5,6,7,8,9,1,4] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[2,4,5,6,7,8,9,1,3] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[3,4,5,6,7,8,9,1,2] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[2,3,4,5,6,7,8,9,10,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[2,3,4,5,6,7,8,9,1,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 8
[2,3,4,5,6,7,8,10,1,9] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[2,3,4,5,6,1,9,7,8] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 7
[2,3,4,5,6,7,9,10,1,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[2,3,4,5,6,8,9,10,1,7] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[2,3,4,5,7,8,9,10,1,6] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[2,3,4,6,7,8,9,10,1,5] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[2,3,5,6,7,8,9,10,1,4] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[1,4,5,6,7,8,9,2,3] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[2,4,5,6,7,8,9,10,1,3] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[3,4,5,6,7,8,9,10,1,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[6,7,3,5,2,4,8,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[3,7,8,2,4,6,1,5] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[7,4,8,3,2,6,5,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[5,6,8,3,4,1,2,7] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[5,6,8,2,4,1,3,7] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[6,7,8,1,3,5,2,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[6,7,8,1,3,5,4,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[6,7,8,1,5,4,3,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[6,7,8,1,4,5,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[6,7,8,1,4,5,3,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[6,7,8,1,2,5,4,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,7,8,5,6,3,4,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[5,2,1,6,7,8,3,4] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[5,6,3,2,7,8,1,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[6,4,3,2,1,7,8,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[3,4,5,8,1,2,7,6] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[3,4,7,8,1,6,5,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,3,8,1,7,6,5,4] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[2,1,4,3,6,5,8,7,10,9,12,11] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [2,4,6,8,10,12,1,3,5,7,9,11] => 10
[12,11,10,9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [12,11,10,9,8,7,6,5,4,3,2,1] => 0
[1,7,6,2,5,8,3,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,6,8,2,5,7,1,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[10,8,9,5,6,7,1,2,3,4] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[10,8,9,4,5,6,1,2,3,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[10,7,8,5,6,9,1,2,3,4] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[10,7,8,4,5,9,1,2,3,6] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[10,6,7,4,5,8,1,2,3,9] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[10,7,8,3,4,9,1,2,5,6] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[10,6,7,3,4,8,1,2,5,9] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,8,10,5,6,7,1,2,3,4] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,8,10,4,5,6,1,2,3,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,7,10,5,6,8,1,2,3,4] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,7,10,4,5,8,1,2,3,6] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,6,10,4,5,7,1,2,3,8] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,7,10,3,4,8,1,2,5,6] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,6,10,3,4,7,1,2,5,8] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,7,9,5,6,10,1,2,3,4] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,7,9,4,5,10,1,2,3,6] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,6,9,4,5,10,1,2,3,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[7,6,8,4,5,9,1,2,3,10] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,7,9,3,4,10,1,2,5,6] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,6,9,3,4,10,1,2,5,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[7,6,8,3,4,9,1,2,5,10] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,6,10,5,7,8,1,2,3,4] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,6,10,4,7,8,1,2,3,5] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,5,10,4,6,7,1,2,3,8] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,6,10,3,7,8,1,2,4,5] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,5,10,3,6,7,1,2,4,8] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,6,9,5,7,10,1,2,3,4] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,6,9,4,7,10,1,2,3,5] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,5,9,4,6,10,1,2,3,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[7,5,8,4,6,9,1,2,3,10] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,6,9,3,7,10,1,2,4,5] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,5,9,3,6,10,1,2,4,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[7,5,8,3,6,9,1,2,4,10] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,4,9,3,5,10,1,2,6,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[7,4,8,3,5,9,1,2,6,10] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,6,10,2,7,8,1,3,4,5] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[9,5,10,2,6,7,1,3,4,8] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,6,9,2,7,10,1,3,4,5] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,5,9,2,6,10,1,3,4,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[7,5,8,2,6,9,1,3,4,10] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[8,4,9,2,5,10,1,3,6,7] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[7,4,8,2,5,9,1,3,6,10] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[7,4,1,5,6,8,2,3] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[4,7,8,5,6,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[2,5,6,7,8,3,4,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[4,6,8,1,2,7,5,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[6,8,2,7,1,3,5,4] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[1,8,7,5,4,3,6,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[5,8,4,7,1,2,6,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[6,5,4,2,1,3,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[6,5,4,3,1,2,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,7,6,5,4,1,3,2] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => 1
[7,8,5,6,1,3,4,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[1,4,6,8,3,7,5,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,5,8,1,4,7,6,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[5,7,3,6,1,4,8,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[4,6,7,8,3,5,1,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[3,5,6,7,8,1,4,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,7,5,2,4,8,3,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[2,5,7,8,1,4,6,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[5,8,3,7,1,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[3,5,6,8,2,7,1,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[2,4,5,6,8,1,7,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[6,8,4,7,1,5,3,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[6,8,4,7,2,5,3,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[3,5,8,2,7,6,4,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[3,5,8,1,7,6,4,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[2,5,8,1,7,6,4,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[1,5,8,2,7,6,4,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[2,5,8,3,7,6,4,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[1,2,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 7
[2,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 7
[1,2,3,4,5,6,7,8,10,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[2,1,3,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[9,1,2,3,4,5,6,7,10,8] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[7,1,2,3,4,5,6,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[2,8,1,3,4,5,6,7,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[2,10,1,3,4,5,6,7,8,9] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[8,1,7,2,6,3,5,4] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[4,8,2,7,1,6,5,3] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[5,8,7,2,1,6,4,3] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[8,7,6,1,5,4,3,2] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1
[8,5,7,3,1,6,4,2] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[8,1,2,3,4,5,7,6] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[1,5,6,8,2,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,8,2,3,4,5,7,6] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[1,2,8,3,4,6,7,5] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[5,7,3,1,8,6,2,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[1,6,7,8,4,5,3,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[5,7,2,1,8,6,3,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[1,6,7,8,3,5,4,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[6,7,8,2,4,1,3,5] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[7,8,3,5,1,4,6,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[7,2,6,3,5,4,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[1,6,5,3,4,8,2,7] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[5,4,6,3,1,8,2,7] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[6,5,8,4,2,7,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[7,8,5,3,2,6,4,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[6,7,3,1,8,4,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[3,6,8,2,4,7,5,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[8,1,7,6,5,2,4,3] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[2,8,7,6,5,3,4,1] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[1,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9]] => [1,2,3,4,5,6,7,8,9] => 8
[1,2,3,4,5,6,8,9,7] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 7
[1,2,3,4,5,7,8,9,6] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 7
[1,2,3,4,6,7,8,9,5] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 7
[1,2,3,5,6,7,8,9,4] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 7
[1,2,4,5,6,7,8,9,3] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 7
[1,3,4,5,6,7,8,9,2] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 7
[1,2,3,4,5,6,7,8,9,10] => [[1,2,3,4,5,6,7,8,9,10]] => [1,2,3,4,5,6,7,8,9,10] => 9
[1,2,3,4,5,6,9,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,5,6,7,9,10,8] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[1,2,3,4,5,6,8,9,10,7] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[1,2,3,4,5,7,8,9,10,6] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[1,2,3,4,6,7,8,9,10,5] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[1,2,3,5,6,7,8,9,10,4] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[1,2,4,5,6,7,8,9,10,3] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[3,2,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 6
[1,3,4,5,6,7,8,9,10,2] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 8
[8,1,3,4,5,6,7,2] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[4,3,1,2,6,8,5,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[3,8,2,6,1,5,7,4] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[4,2,1,3,7,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1] => 0
[8,9,7,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
[8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 1
[9,10,8,7,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[7,8,9,6,5,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[8,7,6,5,4,3,1,2,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[9,8,7,6,5,4,3,2,1,10] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[6,2,1,3,7,8,4,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,2,3,6,8,5,7,4] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,2,3,7,8,5,6,4] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[10,1,2,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[10,9,1,2,3,4,5,6,7,8] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[8,1,2,3,4,5,6,9,10,7] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[2,9,10,1,3,4,5,6,7,8] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 8
[3,5,4,2,7,8,1,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,4,3,2,1,6,8,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,4,3,2,1,6,7,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,4,3,2,1,5,7,6] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[7,4,3,2,1,5,8,6] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[6,4,3,2,1,5,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[3,5,4,2,6,8,1,7] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,5,7,4,2,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[7,3,1,4,6,8,2,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[3,4,6,8,2,7,5,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,4,6,8,1,7,5,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,5,6,7,8,1,3,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,6,8,2,4,7,1,5] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[1,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
[1,10,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[8,1,7,3,6,4,5,2] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,2,7,3,6,4,5,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,1,7,2,6,4,5,3] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[1,3,7,8,4,6,5,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,5,7,8,2,4,6,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[9,2,1,3,4,5,6,7,8] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[10,2,1,3,4,5,6,7,8,9] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[4,2,3,5,6,7,8,9,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 6
[3,2,4,5,6,7,8,9,10,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 7
[6,5,3,2,1,4,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[2,5,8,4,7,6,3,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[5,8,7,4,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[5,8,3,6,1,4,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[5,8,3,6,2,4,7,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[8,6,3,2,1,4,7,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[2,4,6,8,10,1,3,5,7,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,4,6,9,10,1,3,5,7,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,4,7,8,10,1,3,5,6,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,4,7,9,10,1,3,5,6,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,4,8,9,10,1,3,5,6,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,5,6,8,10,1,3,4,7,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,5,6,9,10,1,3,4,7,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,5,7,8,10,1,3,4,6,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,5,7,9,10,1,3,4,6,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,5,8,9,10,1,3,4,6,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,6,7,8,10,1,3,4,5,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,6,7,9,10,1,3,4,5,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,6,8,9,10,1,3,4,5,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,7,8,9,10,1,3,4,5,6] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,4,6,8,10,1,2,5,7,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,4,6,9,10,1,2,5,7,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,4,7,8,10,1,2,5,6,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,4,7,9,10,1,2,5,6,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,4,8,9,10,1,2,5,6,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,5,6,8,10,1,2,4,7,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,5,6,9,10,1,2,4,7,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,5,7,8,10,1,2,4,6,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,5,7,9,10,1,2,4,6,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,5,8,9,10,1,2,4,6,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,6,7,8,10,1,2,4,5,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,6,7,9,10,1,2,4,5,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,6,8,9,10,1,2,4,5,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[3,7,8,9,10,1,2,4,5,6] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,5,6,8,10,1,2,3,7,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,5,6,9,10,1,2,3,7,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,5,7,8,10,1,2,3,6,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,5,7,9,10,1,2,3,6,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,5,8,9,10,1,2,3,6,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,6,7,8,10,1,2,3,5,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,6,7,9,10,1,2,3,5,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,6,8,9,10,1,2,3,5,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[4,7,8,9,10,1,2,3,5,6] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[5,6,7,8,10,1,2,3,4,9] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[5,6,7,9,10,1,2,3,4,8] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[5,6,8,9,10,1,2,3,4,7] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[5,7,8,9,10,1,2,3,4,6] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 8
[2,4,6,8,10,12,1,3,5,7,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,6,8,11,12,1,3,5,7,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,6,9,10,12,1,3,5,7,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,6,9,11,12,1,3,5,7,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,6,10,11,12,1,3,5,7,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,7,8,10,12,1,3,5,6,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,7,8,11,12,1,3,5,6,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,7,9,10,12,1,3,5,6,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,7,9,11,12,1,3,5,6,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,7,10,11,12,1,3,5,6,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,8,9,10,12,1,3,5,6,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,8,9,11,12,1,3,5,6,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,8,10,11,12,1,3,5,6,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,4,9,10,11,12,1,3,5,6,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,6,8,10,12,1,3,4,7,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,6,8,11,12,1,3,4,7,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,6,9,10,12,1,3,4,7,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,6,9,11,12,1,3,4,7,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,6,10,11,12,1,3,4,7,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,7,8,10,12,1,3,4,6,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,7,8,11,12,1,3,4,6,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,7,9,10,12,1,3,4,6,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,7,9,11,12,1,3,4,6,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,7,10,11,12,1,3,4,6,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,8,9,10,12,1,3,4,6,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,8,9,11,12,1,3,4,6,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,8,10,11,12,1,3,4,6,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,5,9,10,11,12,1,3,4,6,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,7,8,10,12,1,3,4,5,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,7,8,11,12,1,3,4,5,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,7,9,10,12,1,3,4,5,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,7,9,11,12,1,3,4,5,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,7,10,11,12,1,3,4,5,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,8,9,10,12,1,3,4,5,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,8,9,11,12,1,3,4,5,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,8,10,11,12,1,3,4,5,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,6,9,10,11,12,1,3,4,5,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,7,8,9,10,12,1,3,4,5,6,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,7,8,9,11,12,1,3,4,5,6,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,7,8,10,11,12,1,3,4,5,6,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,7,9,10,11,12,1,3,4,5,6,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[2,8,9,10,11,12,1,3,4,5,6,7] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,6,8,10,12,1,2,5,7,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,6,8,11,12,1,2,5,7,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,6,9,10,12,1,2,5,7,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,6,9,11,12,1,2,5,7,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,6,10,11,12,1,2,5,7,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,7,8,10,12,1,2,5,6,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,7,8,11,12,1,2,5,6,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,7,9,10,12,1,2,5,6,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,7,9,11,12,1,2,5,6,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,7,10,11,12,1,2,5,6,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,8,9,10,12,1,2,5,6,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,8,9,11,12,1,2,5,6,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,8,10,11,12,1,2,5,6,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,4,9,10,11,12,1,2,5,6,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,6,8,10,12,1,2,4,7,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,6,8,11,12,1,2,4,7,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,6,9,10,12,1,2,4,7,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,6,9,11,12,1,2,4,7,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,6,10,11,12,1,2,4,7,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,7,8,10,12,1,2,4,6,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,7,8,11,12,1,2,4,6,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,7,9,10,12,1,2,4,6,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,7,9,11,12,1,2,4,6,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,7,10,11,12,1,2,4,6,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,8,9,10,12,1,2,4,6,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,8,9,11,12,1,2,4,6,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,8,10,11,12,1,2,4,6,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,5,9,10,11,12,1,2,4,6,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,7,8,10,12,1,2,4,5,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,7,8,11,12,1,2,4,5,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,7,9,10,12,1,2,4,5,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,7,9,11,12,1,2,4,5,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,7,10,11,12,1,2,4,5,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,8,9,10,12,1,2,4,5,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,8,9,11,12,1,2,4,5,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,8,10,11,12,1,2,4,5,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,6,9,10,11,12,1,2,4,5,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,7,8,9,10,12,1,2,4,5,6,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,7,8,9,11,12,1,2,4,5,6,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,7,8,10,11,12,1,2,4,5,6,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,7,9,10,11,12,1,2,4,5,6,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[3,8,9,10,11,12,1,2,4,5,6,7] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,6,8,10,12,1,2,3,7,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,6,8,11,12,1,2,3,7,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,6,9,10,12,1,2,3,7,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,6,9,11,12,1,2,3,7,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,6,10,11,12,1,2,3,7,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,7,8,10,12,1,2,3,6,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,7,8,11,12,1,2,3,6,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,7,9,10,12,1,2,3,6,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,7,9,11,12,1,2,3,6,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,7,10,11,12,1,2,3,6,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,8,9,10,12,1,2,3,6,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,8,9,11,12,1,2,3,6,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,8,10,11,12,1,2,3,6,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,5,9,10,11,12,1,2,3,6,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,7,8,10,12,1,2,3,5,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,7,8,11,12,1,2,3,5,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,7,9,10,12,1,2,3,5,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,7,9,11,12,1,2,3,5,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,7,10,11,12,1,2,3,5,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,8,9,10,12,1,2,3,5,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,8,9,11,12,1,2,3,5,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,8,10,11,12,1,2,3,5,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,6,9,10,11,12,1,2,3,5,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,7,8,9,10,12,1,2,3,5,6,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,7,8,9,11,12,1,2,3,5,6,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,7,8,10,11,12,1,2,3,5,6,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,7,9,10,11,12,1,2,3,5,6,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[4,8,9,10,11,12,1,2,3,5,6,7] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,7,8,10,12,1,2,3,4,9,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,7,8,11,12,1,2,3,4,9,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,7,9,10,12,1,2,3,4,8,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,7,9,11,12,1,2,3,4,8,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,7,10,11,12,1,2,3,4,8,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,8,9,10,12,1,2,3,4,7,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,8,9,11,12,1,2,3,4,7,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,8,10,11,12,1,2,3,4,7,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,6,9,10,11,12,1,2,3,4,7,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,7,8,9,10,12,1,2,3,4,6,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,7,8,9,11,12,1,2,3,4,6,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,7,8,10,11,12,1,2,3,4,6,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,7,9,10,11,12,1,2,3,4,6,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[5,8,9,10,11,12,1,2,3,4,6,7] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[6,7,8,9,10,12,1,2,3,4,5,11] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[6,7,8,9,11,12,1,2,3,4,5,10] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[6,7,8,10,11,12,1,2,3,4,5,9] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[6,7,9,10,11,12,1,2,3,4,5,8] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[6,8,9,10,11,12,1,2,3,4,5,7] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[7,8,9,10,11,12,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => 10
[8,5,7,2,1,6,4,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[2,5,7,8,1,6,4,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,5,7,8,2,6,4,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,3,8,2,7,6,5,4] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[3,1,4,5,6,7,8,9,10,2] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[4,6,5,1,8,7,2,3] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[5,6,4,1,8,7,2,3] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[2,4,6,8,1,5,7,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,4,6,8,3,5,7,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,4,6,8,1,3,7,5] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,7,6,3,4,8,2,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[5,7,8,3,4,1,2,6] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[3,7,2,1,8,5,4,6] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[1,3,6,8,5,7,2,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[1,2,4,5,8,3,7,6] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,2,3,4,5,6,9,7,8] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 7
[9,8,1,2,3,4,5,6,7] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[7,8,9,1,2,3,4,5,6] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[9,8,7,1,2,3,4,5,6] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 5
[6,7,8,9,1,2,3,4,5] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 7
[9,6,7,8,1,2,3,4,5] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 6
[8,9,6,7,1,2,3,4,5] => [[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => 6
[9,8,6,7,1,2,3,4,5] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 5
[9,8,7,6,1,2,3,4,5] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[9,5,6,7,8,1,2,3,4] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 6
[8,9,5,6,7,1,2,3,4] => [[1,2,5,9],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9] => 6
[9,8,5,6,7,1,2,3,4] => [[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => 5
[9,7,8,5,6,1,2,3,4] => [[1,3,8,9],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9] => 5
[9,8,7,5,6,1,2,3,4] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 4
[9,8,7,6,5,1,2,3,4] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 3
[7,8,9,4,5,6,1,2,3] => [[1,2,3],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3] => 6
[9,7,8,4,5,6,1,2,3] => [[1,3,6],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6] => 5
[9,8,7,4,5,6,1,2,3] => [[1,5,6],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6] => 4
[8,9,6,7,4,5,1,2,3] => [[1,2,9],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9] => 5
[9,8,6,7,4,5,1,2,3] => [[1,4,9],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9] => 4
[9,8,7,6,4,5,1,2,3] => [[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => 3
[9,8,7,6,5,4,1,2,3] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[9,7,8,5,6,3,4,1,2] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 4
[9,8,7,5,6,3,4,1,2] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => 3
[9,8,7,6,5,3,4,1,2] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 2
[9,8,7,6,5,4,3,1,2] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 1
[9,10,1,2,3,4,5,6,7,8] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[8,9,10,1,2,3,4,5,6,7] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 8
[10,8,9,1,2,3,4,5,6,7] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 7
[10,9,8,1,2,3,4,5,6,7] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => 6
[7,8,9,10,1,2,3,4,5,6] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 8
[10,7,8,9,1,2,3,4,5,6] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 7
[9,10,7,8,1,2,3,4,5,6] => [[1,2,7,8,9,10],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9,10] => 7
[10,9,7,8,1,2,3,4,5,6] => [[1,4,7,8,9,10],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9,10] => 6
[10,9,8,7,1,2,3,4,5,6] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 5
[10,6,7,8,9,1,2,3,4,5] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 7
[9,10,6,7,8,1,2,3,4,5] => [[1,2,5,9,10],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9,10] => 7
[10,9,6,7,8,1,2,3,4,5] => [[1,4,5,9,10],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9,10] => 6
[10,8,9,6,7,1,2,3,4,5] => [[1,3,8,9,10],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9,10] => 6
[10,9,8,6,7,1,2,3,4,5] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => 5
[10,9,8,7,6,1,2,3,4,5] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 4
[9,10,5,6,7,8,1,2,3,4] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => 7
[10,9,5,6,7,8,1,2,3,4] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 6
[8,9,10,5,6,7,1,2,3,4] => [[1,2,3,10],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3,10] => 7
[10,9,8,5,6,7,1,2,3,4] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6,10] => 5
[9,10,7,8,5,6,1,2,3,4] => [[1,2,9,10],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9,10] => 6
[10,9,7,8,5,6,1,2,3,4] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9,10] => 5
[10,9,8,7,5,6,1,2,3,4] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => 4
[10,9,8,7,6,5,1,2,3,4] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 3
[10,7,8,9,4,5,6,1,2,3] => [[1,3,4],[2,6,7],[5,9,10],[8]] => [8,5,9,10,2,6,7,1,3,4] => 6
[9,10,7,8,4,5,6,1,2,3] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => 6
[10,9,7,8,4,5,6,1,2,3] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 5
[10,9,8,7,4,5,6,1,2,3] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => 4
[10,8,9,6,7,4,5,1,2,3] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => 5
[10,9,8,6,7,4,5,1,2,3] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5,10] => 4
[10,9,8,7,6,4,5,1,2,3] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7,10] => 3
[10,9,8,7,6,5,4,1,2,3] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[9,10,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => 5
[10,9,7,8,5,6,3,4,1,2] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => 4
[10,9,8,7,5,6,3,4,1,2] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => 3
[10,9,8,7,6,5,3,4,1,2] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => 2
[10,9,8,7,6,5,4,3,1,2] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[7,3,5,2,1,8,4,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[1,8,9,7,6,5,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[1,7,9,8,6,5,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[1,9,10,8,7,6,5,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 2
[2,3,4,8,1,7,6,5] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,4,7,8,3,6,2,5] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[3,4,5,8,2,7,1,6] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[8,1,2,3,4,5,6,7,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 7
[9,1,2,3,4,5,6,7,8,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[7,8,1,2,3,4,5,6,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[8,9,1,2,3,4,5,6,7,10] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[6,8,1,2,3,4,5,7,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[4,8,6,5,3,2,7,1] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[6,1,3,4,5,7,8,2] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[3,4,7,8,5,6,1,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[4,2,1,3,6,8,5,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,3,5,4,7,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,7,6,1,5,3,4,2] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,1,7,5,6,4,3,2] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[4,8,3,7,1,2,6,5] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[5,6,3,1,8,7,2,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[3,8,2,7,1,6,5,4] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[3,8,2,7,6,5,4,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[4,8,7,2,1,6,5,3] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[4,8,7,3,1,6,5,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[4,8,7,3,2,6,5,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[1,5,6,7,8,3,4,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,2,1,6,7,8,4,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,5,6,7,8,2,4,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,4,1,3,6,5,8,7,10,9] => [[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => 8
[2,4,1,6,3,5,8,7,10,9] => [[1,2,4,7,9],[3,5,6,8,10]] => [3,5,6,8,10,1,2,4,7,9] => 8
[2,4,1,6,3,8,5,7,10,9] => [[1,2,4,6,9],[3,5,7,8,10]] => [3,5,7,8,10,1,2,4,6,9] => 8
[2,4,1,6,3,8,5,10,7,9] => [[1,2,4,6,8],[3,5,7,9,10]] => [3,5,7,9,10,1,2,4,6,8] => 8
[7,1,2,3,4,5,6,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 7
[4,8,3,6,1,5,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[1,2,4,8,3,7,6,5] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,4,8,1,3,7,6,5] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,4,8,3,7,1,6,5] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,4,8,3,7,2,6,5] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,3,4,8,2,7,6,5] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,4,8,1,2,7,6,5] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[3,4,8,2,7,1,6,5] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,7,6,2,4,8,3,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,4,1,2,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[3,2,1,4,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[4,5,6,1,2,3,7,8,9] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[4,2,5,1,3,6,7,8,9] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[4,3,2,1,5,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 5
[5,6,7,8,1,2,3,4,9] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 7
[5,2,6,7,1,3,4,8,9] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 6
[5,6,3,4,1,2,7,8,9] => [[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => 6
[5,3,2,6,1,4,7,8,9] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 5
[5,4,3,2,1,6,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[6,2,7,8,9,1,3,4,5] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 6
[6,7,3,4,8,1,2,5,9] => [[1,2,5,9],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9] => 6
[6,3,2,7,8,1,4,5,9] => [[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => 5
[6,4,7,2,5,1,3,8,9] => [[1,3,8,9],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9] => 5
[6,4,3,2,7,1,5,8,9] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 4
[6,5,4,3,2,1,7,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 3
[7,4,8,2,5,9,1,3,6] => [[1,3,6],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6] => 5
[7,4,3,2,8,9,1,5,6] => [[1,5,6],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6] => 4
[7,8,5,6,3,4,1,2,9] => [[1,2,9],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9] => 5
[7,5,3,8,2,6,1,4,9] => [[1,4,9],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9] => 4
[7,5,4,3,2,8,1,6,9] => [[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => 3
[7,6,5,4,3,2,1,8,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[8,6,9,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 4
[8,6,4,3,9,2,7,1,5] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => 3
[8,6,5,4,3,2,9,1,7] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 2
[3,4,1,2,5,6,7,8,9,10] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[3,2,1,4,5,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[4,5,6,1,2,3,7,8,9,10] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 8
[4,2,5,1,3,6,7,8,9,10] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 7
[4,3,2,1,5,6,7,8,9,10] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => 6
[5,6,7,8,1,2,3,4,9,10] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 8
[5,2,6,7,1,3,4,8,9,10] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 7
[5,6,3,4,1,2,7,8,9,10] => [[1,2,7,8,9,10],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9,10] => 7
[5,3,2,6,1,4,7,8,9,10] => [[1,4,7,8,9,10],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9,10] => 6
[5,4,3,2,1,6,7,8,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 5
[6,2,7,8,9,1,3,4,5,10] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 7
[6,7,3,4,8,1,2,5,9,10] => [[1,2,5,9,10],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9,10] => 7
[6,3,2,7,8,1,4,5,9,10] => [[1,4,5,9,10],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9,10] => 6
[6,4,7,2,5,1,3,8,9,10] => [[1,3,8,9,10],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9,10] => 6
[6,4,3,2,7,1,5,8,9,10] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => 5
[6,5,4,3,2,1,7,8,9,10] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 4
[7,8,3,4,9,10,1,2,5,6] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => 7
[7,8,9,4,5,6,1,2,3,10] => [[1,2,3,10],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3,10] => 7
[7,4,3,2,8,9,1,5,6,10] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6,10] => 5
[7,8,5,6,3,4,1,2,9,10] => [[1,2,9,10],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9,10] => 6
[7,5,3,8,2,6,1,4,9,10] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9,10] => 5
[7,5,4,3,2,8,1,6,9,10] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => 4
[7,6,5,4,3,2,1,8,9,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 3
[8,5,9,10,2,6,7,1,3,4] => [[1,3,4],[2,6,7],[5,9,10],[8]] => [8,5,9,10,2,6,7,1,3,4] => 6
[8,5,3,9,2,6,10,1,4,7] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => 5
[8,6,9,4,7,2,5,1,3,10] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => 5
[8,6,4,3,9,2,7,1,5,10] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5,10] => 4
[8,6,5,4,3,2,9,1,7,10] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7,10] => 3
[8,7,6,5,4,3,2,1,9,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[9,7,5,4,3,10,2,8,1,6] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => 3
[7,1,2,3,5,6,8,4] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[6,1,2,3,5,7,8,4] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[2,3,6,8,4,7,1,5] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[1,3,6,8,4,7,5,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,5,8,4,7,2,6,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[3,7,8,1,2,6,5,4] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[1,3,7,8,2,6,5,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,3,7,8,1,6,5,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,7,8,1,3,6,5,4] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,6,8,3,7,1,5,4] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,6,8,3,7,2,5,4] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,4,6,8,2,7,5,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[6,5,3,2,1,7,8,4] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[3,6,4,2,7,8,1,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,1,7,6,5,4,3,2] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1
[8,6,4,3,1,5,7,2] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,5,1,2,6,7,3,4] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,2,3,5,8,4,7,6] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[7,5,6,3,1,8,2,4] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[5,4,8,3,2,7,6,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[5,8,4,3,2,7,6,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[4,7,8,3,6,5,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[4,6,8,3,7,5,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[8,5,7,6,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1
[6,8,5,7,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[2,3,4,5,6,7,9,8,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[4,6,8,3,5,7,1,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[3,5,8,2,4,7,1,6] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[1,8,7,6,5,2,4,3] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[1,2,7,8,3,6,5,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,7,8,1,2,6,5,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[3,1,2,5,6,7,8,9,4] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[3,4,5,6,7,8,1,2,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[1,4,5,8,3,7,6,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[8,5,4,3,1,6,7,2] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,6,5,4,1,2,7,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,1,7,2,5,4,6,3] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,4,7,5,1,6,2,3] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[7,6,8,4,2,5,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[1,2,8,3,4,5,7,6] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[1,6,7,8,2,3,5,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,8,2,3,4,6,7,5] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[4,6,8,5,7,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[1,4,7,8,5,6,2,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[8,2,7,6,5,3,4,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[2,5,4,3,6,8,1,7] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,3,7,4,5,2,6,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,2,7,5,4,3,6,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[3,6,8,1,5,7,2,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[4,7,8,5,6,1,3,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[7,6,1,2,4,5,8,3] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[4,6,8,3,7,2,5,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[4,7,8,3,6,1,5,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[5,7,8,2,6,1,4,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,2,7,8,5,6,4,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[6,5,4,3,1,7,8,2] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[3,4,5,6,8,1,7,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,4,5,7,8,1,6,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[4,5,8,1,7,6,3,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[2,3,6,7,8,1,5,4] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,6,8,1,7,5,4,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[2,7,8,1,6,5,4,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[1,5,7,8,4,6,2,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[2,3,5,6,8,1,7,4] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,7,5,1,8,6,2,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[2,3,4,7,8,1,6,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[8,7,6,5,4,3,9,1,2] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 2
[1,2,8,3,5,6,7,4] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => 5
[8,6,4,2,1,3,7,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[3,4,5,7,8,2,6,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,6,2,1,8,5,4,7] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[7,9,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
[6,9,8,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
[5,9,8,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
[4,9,8,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
[3,9,8,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
[2,9,8,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
[8,10,9,7,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[7,10,9,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[6,10,9,8,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[5,10,9,8,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[2,8,7,6,4,3,5,1] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[4,10,9,8,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[3,10,9,8,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[2,10,9,8,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
[8,2,6,4,1,7,3,5] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[3,4,7,8,2,5,6,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,8,2,4,5,6,7,3] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[1,2,7,8,5,6,3,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[1,5,7,8,2,3,6,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,2,3,4,5,6,7,10,8,9] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 8
[8,4,7,6,5,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => 1
[8,4,7,5,6,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[8,7,6,3,5,4,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1
[8,1,7,4,6,5,3,2] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[8,1,7,3,6,5,4,2] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[8,2,7,3,6,5,4,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[8,7,6,2,5,4,3,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => 1
[8,1,7,2,6,5,4,3] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[8,7,6,2,5,3,4,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,1,7,6,5,3,4,2] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[8,7,6,1,5,2,4,3] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[4,6,7,8,3,5,2,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,6,8,3,5,7,2,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[4,8,3,6,2,5,7,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[4,7,8,3,5,6,2,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[4,7,8,3,6,2,5,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[4,8,3,7,2,5,6,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[5,8,3,7,2,6,4,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[4,7,3,6,2,5,8,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[4,5,7,8,3,6,2,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,5,8,3,7,2,6,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[4,5,6,8,3,7,2,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[6,7,8,9,5,4,3,2,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 3
[5,6,7,8,9,4,3,2,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[4,5,6,7,8,9,3,2,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[3,4,5,6,7,8,9,2,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[8,9,10,7,6,5,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 2
[7,8,9,10,6,5,4,3,2,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 3
[5,6,7,8,9,10,4,3,2,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[4,5,6,7,8,9,10,3,2,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[3,4,5,6,7,8,9,10,2,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,7,8,4,6,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[6,3,1,2,5,8,4,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,8,5,7,1,2,4,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[2,7,8,1,4,6,3,5] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[3,6,8,4,7,2,5,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,2,5,8,4,7,3,6] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[1,3,5,8,2,4,7,6] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,4,6,8,3,5,7,2] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,2,5,8,4,7,6,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,7,8,2,6,1,3,5] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[7,8,3,6,2,4,5,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[1,8,10,6,9,4,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 5
[1,2,7,10,5,9,3,8,6,4] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 5
[1,2,3,6,10,4,9,8,7,5] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 5
[1,2,3,4,5,10,9,8,7,6] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[3,1,2,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 7
[2,4,1,3,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[2,3,4,5,6,8,1,7,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[1,4,8,3,7,6,5,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[5,6,8,1,2,7,4,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,7,4,3,5,8,1,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,8,7,4,5,6,1,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[5,8,4,7,2,6,3,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[2,4,6,8,1,3,5,7,9] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 7
[8,7,6,5,4,3,2,10,1,9] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => 2
[6,5,4,10,3,9,2,8,1,7] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => 4
[6,5,4,3,2,8,10,1,7,9] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => 4
[4,8,3,7,2,6,10,1,5,9] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => 6
[4,3,2,6,8,10,1,5,7,9] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 6
[7,8,4,5,9,2,3,6,10,1] => [[1,2,5,9],[3,4,8],[6,7],[10]] => [10,6,7,3,4,8,1,2,5,9] => 6
[3,7,5,4,6,8,1,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[2,3,4,5,8,1,7,6] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,7,5,2,6,8,1,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[1,3,4,5,8,2,7,6] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[4,7,8,2,6,1,5,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[3,2,1,5,7,8,4,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[3,2,1,5,6,8,4,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,2,6,8,4,7,3,5] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[1,8,7,3,5,6,2,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,4,7,8,1,2,6,5] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[3,6,7,8,1,4,5,2] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,6,7,8,1,4,5,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[4,6,7,8,1,3,5,2] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,6,7,8,1,3,5,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[4,6,7,8,1,2,5,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[3,6,7,8,1,2,5,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[3,6,7,8,1,5,4,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,6,7,8,1,5,4,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,4,5,6,7,8,9,1,2,10] => [[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => 8
[2,4,5,6,7,8,1,3,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[1,4,5,6,7,8,9,10,2,3] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[7,6,5,1,4,3,8,2] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[7,8,5,4,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[2,8,5,3,6,7,1,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,9,5,8,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 4
[8,9,5,7,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 4
[8,9,6,7,3,5,1,4,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 4
[8,9,6,7,4,5,1,3,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 4
[8,9,6,7,4,5,2,3,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 4
[7,9,6,8,3,5,1,4,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 4
[8,9,5,7,4,6,1,3,2] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 4
[8,9,6,7,3,5,2,4,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => 4
[1,5,2,4,6,7,8,3] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[7,6,4,3,1,2,8,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,4,6,5,1,7,2,3] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[7,6,4,2,1,5,8,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[5,7,4,6,1,3,8,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[5,4,1,3,6,7,8,2] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[5,1,3,4,6,7,8,2] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[2,6,8,1,5,7,4,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,8,1,7,6,5,4,3] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[7,4,6,2,1,8,3,5] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[3,4,6,8,5,7,1,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[6,4,7,3,1,8,2,5] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[3,1,4,2,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 8
[4,5,6,7,8,9,1,2,3] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[4,5,6,7,8,9,2,3,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[5,6,7,8,9,1,2,3,4] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[6,7,8,9,2,3,4,5,1] => [[1,2,3,4],[5,6,7,8],[9]] => [9,5,6,7,8,1,2,3,4] => 6
[8,9,6,7,5,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
[4,5,6,7,8,9,10,1,2,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[4,5,6,7,8,9,10,2,3,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[5,6,7,8,9,10,1,2,3,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 8
[5,6,7,8,9,10,3,4,1,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [9,10,7,8,1,2,3,4,5,6] => 7
[7,8,9,10,3,4,5,6,1,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [9,10,5,6,7,8,1,2,3,4] => 7
[7,8,9,10,5,6,3,4,1,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,1,2,3,4] => 6
[8,9,10,5,6,7,2,3,4,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [10,7,8,9,4,5,6,1,2,3] => 6
[7,8,2,6,1,5,4,3] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[3,8,7,2,1,6,5,4] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[4,8,1,7,6,5,3,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[6,1,7,2,8,3,9,4,10,5] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 8
[6,1,7,8,9,10,2,3,4,5] => [[1,3,4,5,6],[2,7,8,9,10]] => [2,7,8,9,10,1,3,4,5,6] => 8
[7,1,8,2,9,3,10,4,11,5,12,6] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [2,4,6,8,10,12,1,3,5,7,9,11] => 10
[9,8,7,6,5,4,2,1,3] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 1
[9,8,7,6,5,3,2,1,4] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 1
[9,8,7,6,4,3,2,1,5] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 1
[9,8,7,5,4,3,2,1,6] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 1
[9,8,6,5,4,3,2,1,7] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 1
[9,7,6,5,4,3,2,1,8] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => 1
[10,9,8,7,6,5,4,2,1,3] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[9,8,7,6,5,2,4,1,3] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 2
[10,9,8,7,6,5,3,2,1,4] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[10,9,8,7,6,4,3,2,1,5] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[10,9,8,7,5,4,3,2,1,6] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[10,9,8,6,5,4,3,2,1,7] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[10,9,7,6,5,4,3,2,1,8] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[10,8,7,6,5,4,3,2,1,9] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => 1
[8,2,1,3,5,7,4,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[4,7,2,1,8,5,3,6] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[6,8,5,7,1,4,3,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[8,3,5,2,1,7,4,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[8,5,6,4,1,7,2,3] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[10,3,1,2,4,5,6,7,8,9] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[10,4,1,2,3,5,6,7,8,9] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[5,10,1,2,3,4,6,7,8,9] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[10,6,1,2,3,4,5,7,8,9] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[10,7,1,2,3,4,5,6,8,9] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[8,10,1,2,3,4,5,6,7,9] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[5,7,8,1,4,6,3,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[6,7,2,1,8,5,3,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[1,8,5,3,4,7,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[4,6,8,2,7,5,3,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[6,8,7,4,2,5,3,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[9,2,4,6,8,1,3,5,7] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 6
[9,4,6,8,1,2,3,5,7] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 6
[9,6,8,1,2,3,4,5,7] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[3,5,7,9,1,2,4,6,8] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 7
[5,7,9,1,2,3,4,6,8] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[7,9,1,2,3,4,5,6,8] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[10,9,8,7,6,5,2,4,1,3] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => 2
[10,9,4,8,3,7,2,6,1,5] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => 4
[10,9,8,7,2,4,6,1,3,5] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => 4
[6,10,5,9,2,4,8,1,3,7] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => 6
[10,9,2,4,6,8,1,3,5,7] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 6
[10,3,5,7,9,1,2,4,6,8] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 7
[10,5,7,9,1,2,3,4,6,8] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => 7
[10,7,9,1,2,3,4,5,6,8] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 7
[7,6,5,4,1,2,8,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[2,4,6,8,3,7,5,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,5,8,2,7,1,6,4] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[9,6,5,4,3,2,8,1,7] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 2
[7,4,1,2,5,8,3,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,7,2,3,5,6,8,4] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[3,6,5,2,7,8,1,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[5,6,8,4,7,3,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[7,6,8,3,2,5,4,1] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[5,8,7,3,2,6,4,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[6,7,8,3,5,1,2,4] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[8,6,5,1,4,3,7,2] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[4,6,8,2,5,1,3,7] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[1,4,5,6,7,8,9,2,3,10] => [[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => 8
[1,7,5,3,4,8,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[4,3,1,5,7,8,2,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,7,2,1,8,4,3,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[4,3,1,6,7,8,2,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[3,7,8,5,6,4,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[8,7,5,2,1,4,6,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[4,8,2,7,1,5,6,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[8,6,1,2,4,5,7,3] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[1,8,2,3,5,6,7,4] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[8,7,1,2,4,5,6,3] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[2,6,5,1,8,7,3,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[4,6,8,1,5,7,3,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[1,4,6,8,5,7,3,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,6,8,1,3,7,5,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,3,4,5,6,8,9,7,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[2,3,4,5,7,8,9,6,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[2,4,5,6,7,8,9,3,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[2,3,4,7,8,5,6,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,3,4,5,6,7,10,1,8,9] => [[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => 8
[7,1,2,3,4,6,8,5] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[8,1,2,3,4,6,7,5] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[1,7,2,3,4,6,8,5] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[1,6,8,5,7,3,4,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[2,6,8,1,7,5,4,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[1,5,8,3,7,2,6,4] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[5,6,8,2,3,7,1,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[1,4,5,8,2,7,6,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,4,5,8,3,7,1,6] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[8,9,1,7,6,5,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
[7,5,4,2,1,6,8,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[7,6,4,2,1,3,8,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[5,6,4,2,7,8,1,3] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[6,5,7,2,1,8,3,4] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[3,7,8,5,6,1,4,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,7,8,5,6,3,4,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,5,7,8,3,6,4,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,3,7,8,5,6,4,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,7,8,1,5,6,4,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,5,7,8,3,6,1,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[8,1,2,3,4,5,9,6,7] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[5,8,2,7,1,6,4,3] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[3,5,7,8,2,6,1,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[8,6,7,4,1,5,3,2] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[2,8,7,3,5,6,1,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,8,3,6,2,5,4,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[4,7,8,1,3,6,2,5] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[6,8,3,7,2,5,4,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[6,4,7,2,1,8,3,5] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[4,7,8,5,6,3,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[4,6,8,5,7,3,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[5,6,8,3,7,2,4,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[3,6,8,5,7,1,4,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,5,4,3,6,8,2,7] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,7,4,1,8,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[3,4,6,8,5,7,2,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,5,6,8,1,7,4,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[8,4,7,3,1,6,5,2] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[4,5,7,8,2,6,3,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,6,7,8,2,5,3,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,4,5,7,8,2,6,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,4,5,6,8,2,7,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,7,8,1,5,6,2,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[6,7,3,5,1,4,8,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[3,5,7,8,4,6,2,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,5,6,8,4,7,2,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,7,8,4,6,1,3,5] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[9,8,7,6,5,4,3,1,2,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[8,7,6,5,4,2,1,3,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[1,2,9,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[1,2,3,9,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 3
[1,2,3,4,9,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[1,2,3,4,5,9,8,7,6] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,2,10,9,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 2
[1,2,3,10,9,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 3
[1,2,3,4,10,9,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 4
[1,2,3,4,5,6,10,9,8,7] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,5,6,7,10,9,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,8,6,2,4,7,3,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[1,8,6,3,4,7,2,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[2,8,6,3,4,7,1,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,2,1,4,7,8,5,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,1,7,6,4,3,5,2] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[2,3,5,8,1,4,7,6] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,3,6,8,1,5,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,3,6,8,1,4,7,5] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,6,8,1,5,7,3,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[5,6,8,3,7,1,4,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[6,2,1,4,7,8,3,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,7,6,4,1,2,5,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[1,4,5,8,2,3,7,6] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[5,4,1,2,7,8,3,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,4,6,8,2,3,7,5] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[4,6,7,8,2,3,5,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,3,7,8,5,6,1,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[7,2,1,4,5,8,3,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,8,5,4,2,7,3,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[3,8,2,7,1,5,6,4] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[3,5,7,8,4,6,1,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[6,5,7,4,1,8,2,3] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[3,5,7,8,1,4,6,2] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[3,5,8,2,7,1,4,6] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[6,7,8,2,3,5,4,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[7,1,6,5,8,4,3,2] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[3,7,2,1,8,6,4,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[1,7,6,3,5,8,2,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[2,7,4,3,6,8,1,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[9,1,2,3,4,5,6,8,7] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 6
[10,1,2,3,4,5,6,7,9,8] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 7
[9,1,2,3,4,5,7,8,6] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 6
[2,3,4,5,6,7,8,10,9,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[3,9,2,8,7,6,5,4,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
[4,5,3,2,7,8,1,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,3,6,4,1,7,2,5] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[1,5,6,8,4,7,3,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[1,2,3,7,8,4,6,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,2,3,6,8,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,6,7,8,4,5,2,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[7,4,6,5,8,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[4,7,8,2,5,1,3,6] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[6,8,2,7,1,4,5,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[3,5,7,8,1,2,6,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[7,5,8,4,1,6,3,2] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[7,9,6,8,5,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
[5,8,4,7,6,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[8,6,9,4,7,3,5,1,2] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 4
[8,6,9,5,7,3,4,1,2] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 4
[8,7,9,5,6,3,4,1,2] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 4
[8,6,9,5,7,2,4,1,3] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 4
[8,7,9,4,6,3,5,1,2] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 4
[9,6,8,5,7,3,4,1,2] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => 4
[1,3,4,5,6,7,9,2,8] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[2,1,4,5,6,7,8,9,3] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[3,1,4,5,6,7,8,2,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[8,7,4,2,1,3,6,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[1,2,3,4,5,7,9,6,8] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[1,2,3,4,6,9,5,7,8] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[2,10,1,9,8,7,6,5,4,3] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
[3,6,4,1,8,7,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[7,6,1,3,4,5,8,2] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[1,5,4,3,7,8,2,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,7,5,2,1,3,6,4] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[7,6,8,3,1,5,4,2] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[1,7,4,3,6,8,2,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[1,8,7,6,5,3,4,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[2,4,7,8,1,6,5,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[8,7,3,2,1,5,6,4] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[3,5,8,4,7,2,6,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[2,5,8,4,7,3,6,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[3,5,8,4,7,1,6,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,5,8,4,7,3,6,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[6,8,3,5,1,4,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[10,1,2,3,4,6,7,8,9,5] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 7
[2,4,6,7,8,1,5,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,4,6,8,1,7,5,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,4,7,8,3,5,6,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[4,3,6,2,1,8,5,7] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[8,7,1,2,3,4,6,5] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[2,3,4,6,8,5,7,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,8,4,2,6,7,1,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,3,1,4,5,7,2,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,6,7,8,9,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[6,7,8,9,1,2,3,4,5,10] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 8
[6,7,8,1,2,3,4,5,9] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[4,6,7,8,1,2,3,5,9] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 7
[1,5,7,8,9,2,3,4,6] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[1,6,7,8,9,10,2,3,4,5] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 8
[3,4,8,2,7,6,5,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[7,4,1,2,6,8,3,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[5,2,1,4,7,8,3,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[9,2,3,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 6
[1,2,4,6,8,9,7,5,3] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,2,4,6,8,10,9,7,5,3] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[1,2,4,6,8,5,7,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,5,6,8,3,7,2,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[8,1,6,3,5,4,7,2] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[2,7,6,3,5,8,1,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[5,8,2,6,1,4,7,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[4,1,2,5,6,7,8,9,10,3] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[8,2,1,3,4,5,6,7,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[9,2,1,3,4,5,6,7,8,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[8,3,1,2,4,5,6,7,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[8,7,2,4,6,10,1,3,5,9] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 6
[2,10,7,9,4,6,8,1,3,5] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 6
[6,5,2,4,8,10,1,3,7,9] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 6
[2,8,5,7,4,6,10,1,3,9] => [[1,2,4,7],[3,6,10],[5,9],[8]] => [8,5,9,3,6,10,1,2,4,7] => 6
[8,7,6,5,2,4,10,1,3,9] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => 4
[4,10,3,9,2,6,8,1,5,7] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => 6
[3,6,10,2,5,9,4,8,1,7] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [9,10,7,8,4,5,6,1,2,3] => 6
[3,5,7,10,2,4,6,9,8,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [10,9,5,6,7,8,1,2,3,4] => 6
[5,10,4,9,3,8,2,7,6,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => 4
[4,6,10,3,5,9,8,7,2,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => 4
[5,10,4,9,8,7,6,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
[2,5,8,3,7,1,6,4] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[7,5,1,2,6,8,3,4] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,8,6,2,5,7,3,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,6,8,4,1,5,3,2] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[5,7,8,4,6,3,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[3,7,8,1,4,6,5,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[8,7,4,3,1,5,6,2] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[5,7,8,2,3,6,1,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[8,1,2,3,4,5,6,7,10,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[6,9,1,2,3,4,5,7,8] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[4,5,6,8,1,2,7,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[6,8,7,3,1,5,4,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[1,3,4,5,6,7,9,8,2] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,3,4,5,6,7,8,10,9,2] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[5,8,4,6,1,3,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[2,4,8,1,7,6,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[10,2,3,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 7
[3,5,6,7,8,9,4,2,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,2,3,4,6,8,5,7,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[1,2,3,4,7,5,8,6,9] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 7
[4,9,1,2,3,5,6,7,8] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[3,9,1,2,4,5,6,7,8] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => 7
[7,10,1,2,3,4,5,6,8,9] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[6,10,1,2,3,4,5,7,8,9] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[4,10,1,2,3,5,6,7,8,9] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[3,10,1,2,4,5,6,7,8,9] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => 8
[2,8,9,7,6,5,4,3,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[7,8,4,3,2,6,5,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[4,2,1,5,6,8,3,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,3,7,4,1,6,2,5] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[8,2,1,5,6,7,3,4] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,3,1,2,5,7,4,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[2,8,9,1,3,4,5,6,7] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[2,8,9,10,1,3,4,5,6,7] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 8
[5,1,6,2,7,3,8,4,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 8
[4,1,5,2,6,3,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => 8
[1,3,6,8,2,7,5,4] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,1,3,4,5,6,8,9,7] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[2,1,3,4,5,6,7,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[2,1,3,4,5,6,7,9,10,8] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[2,1,3,4,5,6,7,8,10,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[3,4,6,8,1,5,7,2] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[1,2,5,7,8,4,6,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[4,2,1,5,7,8,3,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[5,4,1,6,7,8,2,3] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,7,4,1,8,5,2,3] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[1,6,4,3,7,8,2,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,1,2,3,4,5,8,9,10,6] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[6,1,2,3,4,7,8,9,10,5] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[5,1,2,3,6,7,8,9,10,4] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[9,7,6,5,4,3,1,2,8] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[7,2,1,3,6,8,4,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[4,7,8,1,6,5,3,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[1,5,8,4,7,6,3,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[8,1,2,4,5,6,7,3] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[4,1,3,5,6,7,8,2] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[4,6,8,2,3,7,1,5] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[4,5,8,3,7,1,2,6] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[3,7,8,4,6,2,5,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[4,6,5,2,7,8,1,3] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[1,2,3,4,5,6,8,7,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 7
[1,2,3,4,5,6,7,9,8,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 8
[8,7,5,1,4,3,6,2] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,7,3,2,1,4,6,5] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[2,8,4,3,6,7,1,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,2,1,4,6,7,3,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,3,7,8,5,6,2,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[2,5,8,4,7,1,3,6] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[8,4,7,2,1,6,5,3] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[4,8,5,2,6,7,1,3] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[5,1,2,4,6,7,8,3] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[2,4,6,8,5,7,3,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,4,6,8,5,7,1,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[2,4,6,8,3,7,1,5] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[4,8,3,7,1,6,5,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[4,8,2,7,6,5,3,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[8,2,3,4,5,6,7,9,1] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 6
[9,2,3,4,5,6,7,8,10,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 7
[2,3,5,6,7,1,8,4,9] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 7
[6,7,3,1,8,5,2,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[3,5,7,8,2,4,6,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[7,8,3,6,1,5,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[2,5,7,8,4,6,1,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[8,5,4,2,1,6,7,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[4,6,8,2,3,7,5,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,3,4,5,6,1,8,7,9] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 7
[8,5,3,2,1,6,7,4] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[2,8,4,3,5,7,1,6] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[6,5,4,2,1,7,8,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[1,6,8,2,7,5,4,3] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[8,6,5,4,3,2,1,7,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[3,1,2,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[9,7,6,5,4,3,2,1,8,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[8,7,5,3,1,2,6,4] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[1,3,4,5,6,7,8,2,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 7
[1,3,4,5,6,7,8,10,2,9] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[2,1,4,5,6,7,8,3,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[1,3,4,5,6,7,8,9,2,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 8
[6,7,8,2,4,5,1,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[1,3,9,8,7,6,5,4,2] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[6,8,2,5,1,4,7,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[1,2,3,4,5,7,9,8,6] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,6,7,9,8,5] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,6,8,9,7,5] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,6,9,8,7,5] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,2,3,5,6,7,9,8,4] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,2,3,5,6,8,9,7,4] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,2,3,5,6,9,8,7,4] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,2,3,5,7,9,8,6,4] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,2,3,5,9,8,7,6,4] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[1,2,4,5,7,8,9,6,3] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,2,4,5,7,9,8,6,3] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,2,4,5,9,8,7,6,3] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[1,2,4,6,9,8,7,5,3] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[1,2,4,9,8,7,6,5,3] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 3
[1,3,5,7,9,8,6,4,2] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[1,3,5,9,8,7,6,4,2] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 3
[1,2,3,4,5,6,8,10,9,7] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,2,3,4,5,7,8,10,9,6] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,2,3,4,5,7,9,10,8,6] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,2,3,4,5,7,10,9,8,6] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,6,7,8,10,9,5] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,2,3,4,6,7,9,10,8,5] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,2,3,4,6,7,10,9,8,5] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,6,8,10,9,7,5] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,6,10,9,8,7,5] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[1,2,3,5,6,7,9,10,8,4] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,2,3,5,6,7,10,9,8,4] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,3,5,6,8,9,10,7,4] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,2,3,5,6,8,10,9,7,4] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,3,5,6,10,9,8,7,4] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[1,2,3,5,7,9,10,8,6,4] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,3,5,7,10,9,8,6,4] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[1,2,3,5,10,9,8,7,6,4] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 4
[1,2,4,5,7,8,10,9,6,3] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,4,5,7,9,10,8,6,3] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,2,4,5,7,10,9,8,6,3] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[1,2,4,5,10,9,8,7,6,3] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 4
[1,2,4,6,10,9,8,7,5,3] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 4
[1,2,4,10,9,8,7,6,5,3] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 3
[1,3,5,7,9,10,8,6,4,2] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[1,3,5,7,10,9,8,6,4,2] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 4
[1,3,5,10,9,8,7,6,4,2] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 3
[1,3,10,9,8,7,6,5,4,2] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 2
[7,1,3,4,5,6,8,2] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[5,8,7,3,1,6,4,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[5,8,4,7,1,6,3,2] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[4,7,5,3,6,8,1,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,7,5,3,1,4,6,2] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[1,4,5,7,8,3,6,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,5,7,8,3,6,2,4] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[1,4,6,7,8,3,5,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,4,7,8,5,6,1,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[4,5,3,1,8,7,2,6] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[7,6,4,3,1,5,8,2] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[3,6,8,2,7,1,5,4] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[3,5,7,9,1,2,4,6,8,10] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => 8
[4,1,2,3,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[5,1,2,3,4,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[8,1,2,3,4,5,6,7,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[7,1,2,3,4,5,6,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[6,1,2,3,4,5,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => 8
[4,7,8,5,6,2,3,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[6,7,8,3,5,4,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[5,6,8,1,3,7,2,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[3,4,1,6,2,5,8,7,10,9] => [[1,2,4,7,9],[3,5,6,8,10]] => [3,5,6,8,10,1,2,4,7,9] => 8
[8,5,3,2,1,4,7,6] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,7,6,1,4,3,5,2] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[8,7,5,4,1,2,6,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,1,5,4,6,3,7,2] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,6,4,2,1,3,5,7,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[8,6,4,2,9,1,3,5,7] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 4
[9,6,4,2,7,1,3,5,8] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 4
[9,7,4,2,5,1,3,6,8] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 4
[9,7,5,3,1,2,4,6,8] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[10,8,6,4,2,1,3,5,7,9] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 4
[6,4,2,7,1,3,5,8,9] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 5
[8,6,4,2,9,1,3,5,7,10] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => 5
[9,6,4,2,7,1,3,5,8,10] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => 5
[9,7,4,2,5,1,3,6,8,10] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => 5
[9,7,4,5,1,2,3,6,8] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 5
[9,7,5,3,1,2,4,6,8,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 5
[1,8,7,6,4,3,5,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[1,2,3,4,5,6,9,10,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[7,3,1,2,5,8,4,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[5,7,2,1,8,4,3,6] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[3,8,5,2,6,7,1,4] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,7,6,5,3,2,1,4,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[8,7,6,4,3,2,1,5,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[8,7,5,4,3,2,1,6,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[8,7,6,5,4,1,2,3,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 3
[9,8,7,6,5,4,2,1,3,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[9,8,7,6,5,3,2,1,4,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[9,8,7,6,4,3,2,1,5,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[9,8,7,5,4,3,2,1,6,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[9,8,6,5,4,3,2,1,7,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[4,7,8,1,5,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[9,1,3,4,5,6,7,8,2] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => 6
[10,1,3,4,5,6,7,8,9,2] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 7
[6,8,2,7,5,4,3,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[5,8,1,7,6,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[10,8,4,9,1,2,3,5,6,7] => [[1,4,7,8,9,10],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9,10] => 6
[2,3,4,5,8,9,1,6,7] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[8,5,4,2,1,3,7,6] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[8,7,4,2,1,5,6,3] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[7,8,4,5,1,3,6,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[2,3,9,8,7,6,5,4,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[9,10,1,8,7,6,5,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
[8,6,1,3,4,5,7,2] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[8,5,1,2,4,6,7,3] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[4,5,8,1,3,7,2,6] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[7,2,6,5,1,8,3,4] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[2,4,5,6,7,8,9,10,3,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,3,5,8,4,7,2,6] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[3,4,6,7,8,1,5,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[4,8,2,7,1,3,6,5] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[7,4,6,5,1,8,2,3] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[4,7,3,1,8,5,2,6] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[3,7,8,2,5,6,1,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[7,5,1,2,4,6,8,3] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[8,7,5,2,4,3,6,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[7,6,5,3,1,2,8,4] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[9,8,7,6,1,2,3,4,5,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 5
[7,2,6,5,8,4,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[7,8,3,5,2,4,6,1] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[7,8,6,3,1,5,4,2] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[6,1,2,3,4,5,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 7
[5,1,2,3,4,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 7
[4,1,2,3,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => 7
[4,6,8,3,7,1,2,5] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[5,6,7,9,8,4,3,2,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 3
[5,6,7,8,9,1,4,3,2] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => 5
[3,6,8,2,5,1,4,7] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[2,4,6,7,8,3,5,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,8,7,3,4,6,1,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,1,6,5,4,3,8,2] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[3,4,5,6,8,9,1,2,7] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[5,8,4,7,3,6,2,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[2,5,8,4,7,1,6,3] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[4,8,5,3,6,7,1,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[8,1,7,3,5,4,6,2] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[5,8,3,7,6,4,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[2,6,8,1,4,7,5,3] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,1,4,5,6,7,8,9,10,3] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[8,4,1,2,5,7,3,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,3,4,5,6,8,9,2,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[8,3,7,2,1,6,5,4] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => 3
[1,5,6,8,2,7,4,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,5,6,8,1,3,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[4,5,6,8,2,3,7,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,4,7,8,5,6,3,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[6,5,7,8,9,1,2,3,4] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 6
[5,8,3,7,1,4,6,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[7,1,2,3,4,5,8,6,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[3,5,6,8,4,7,1,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[4,5,2,1,8,7,3,6] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[4,7,3,1,8,6,2,5] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[6,1,2,4,5,7,8,3] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[1,6,2,3,5,7,8,4] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[6,7,8,2,5,4,3,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[1,2,3,4,5,8,9,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[1,2,3,4,7,9,5,8,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[1,2,4,6,8,3,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,4,8,3,7,6,5,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[3,6,8,2,5,7,4,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[2,6,8,5,7,4,3,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[4,7,8,3,5,6,1,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[2,1,3,4,5,6,9,7,8] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[1,2,3,4,5,7,8,6,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 7
[8,7,9,1,2,3,4,5,6] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[8,6,1,2,3,5,7,4] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[7,6,8,9,1,2,3,4,5] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 6
[4,5,7,8,2,6,1,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[5,7,8,3,4,6,2,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[5,7,8,1,4,6,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[2,3,4,5,6,9,8,7,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[2,3,4,5,6,7,10,9,8,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[2,3,4,5,8,9,7,6,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[5,8,2,7,1,3,6,4] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[4,2,6,8,1,3,5,7,9] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => 6
[4,2,5,7,9,1,3,6,8] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => 6
[2,3,5,7,9,1,4,6,8] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[4,2,6,8,10,1,3,5,7,9] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 7
[6,4,2,8,1,3,5,7,9] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => 5
[4,8,2,5,9,1,3,6,7] => [[1,2,5,9],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9] => 6
[4,2,5,7,9,1,3,6,8,10] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 7
[1,4,5,7,9,2,3,6,8] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[2,3,4,5,6,9,10,1,7,8] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[1,2,5,6,8,3,7,4] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,2,5,6,8,4,7,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,5,6,8,4,7,2,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[1,3,5,6,8,4,7,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,5,6,7,8,9,2,3,4] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[1,5,6,7,8,9,10,2,3,4] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[4,3,1,2,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[5,3,1,2,4,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => 6
[4,3,5,1,2,6,7,8,9] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[4,3,1,2,5,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => 7
[5,4,3,1,2,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 5
[6,5,4,3,1,2,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[8,5,4,3,9,1,2,6,7] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 4
[6,5,4,3,1,2,7,8,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => 5
[7,6,5,4,3,1,2,8,9,10] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 4
[9,6,5,4,3,10,1,2,7,8] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => 4
[2,1,3,4,5,6,8,7,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[1,8,7,2,4,6,3,5] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[2,1,3,5,6,7,8,9,4] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[3,6,8,5,7,4,2,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[1,8,6,4,5,7,2,3] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,4,5,6,7,9,1,2,8] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[3,4,5,7,8,9,1,2,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[3,5,6,7,8,9,1,2,4] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[3,4,5,6,8,9,10,1,2,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[3,5,6,7,8,9,10,1,2,4] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[4,5,7,8,1,6,3,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[2,5,7,8,4,6,3,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,6,8,3,7,1,5,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[3,1,2,4,5,6,7,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => 7
[5,7,2,6,1,4,8,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[8,9,10,5,6,7,1,3,4,2] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [10,7,8,9,4,5,6,1,2,3] => 6
[8,9,5,6,10,1,3,4,7,2] => [[1,2,5,9],[3,4,8],[6,7],[10]] => [10,6,7,3,4,8,1,2,5,9] => 6
[8,5,9,10,3,6,7,1,2,4] => [[1,3,4],[2,6,7],[5,9,10],[8]] => [8,5,9,10,2,6,7,1,3,4] => 6
[1,4,6,8,2,5,7,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[6,3,1,4,7,8,2,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,3,1,2,7,8,4,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[2,3,4,6,8,1,7,5] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,3,4,5,7,9,1,8,6] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[2,3,4,5,6,8,10,1,9,7] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[7,1,2,4,5,6,8,3] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => 5
[8,7,1,3,4,5,6,2] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[5,8,4,7,1,3,6,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[1,2,6,7,8,4,5,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,4,5,8,1,7,6,3] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,6,8,2,5,7,1,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[1,7,2,4,5,6,8,3] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => 5
[2,7,8,1,5,6,3,4] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[7,2,1,3,5,8,4,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,1,2,3,4,5,9,7,8] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[4,5,6,9,3,8,2,7,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,1,2,3,4] => 5
[6,4,1,2,7,8,3,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[4,5,8,2,3,7,1,6] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[2,4,5,6,8,3,7,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[6,3,1,4,5,8,2,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[6,7,8,2,4,5,3,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[3,4,5,7,8,1,6,2] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,4,5,8,1,3,7,6] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[5,6,7,9,1,2,3,4,8] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 7
[4,5,6,7,9,1,2,3,8] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[7,8,10,1,2,3,4,5,6,9] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 8
[4,5,6,7,8,10,1,2,3,9] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 8
[1,3,6,8,2,4,7,5] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[7,8,6,2,1,5,4,3] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[1,2,3,4,5,6,8,10,7,9] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 8
[4,5,8,1,3,7,6,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[8,4,9,2,5,6,10,1,3,7] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 6
[8,4,2,5,9,10,1,3,6,7] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => 6
[4,8,2,5,9,10,1,3,6,7] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => 7
[8,7,5,3,1,2,4,6,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[10,9,7,5,3,1,2,4,6,8] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => 4
[7,5,3,1,2,4,6,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 5
[6,8,4,3,2,7,5,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[6,7,4,5,1,3,8,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[2,3,5,7,8,1,6,4] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[1,7,8,9,6,5,4,3,2] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 3
[1,6,7,8,9,5,4,3,2] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[1,5,6,7,8,9,4,3,2] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,4,5,6,7,8,9,3,2] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,8,9,10,7,6,5,4,3,2] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 3
[1,7,8,9,10,6,5,4,3,2] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 4
[1,6,7,8,9,10,5,4,3,2] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[1,5,6,7,8,9,10,4,3,2] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[1,4,5,6,7,8,9,10,3,2] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 7
[1,2,7,8,4,6,3,5] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[9,8,7,6,5,2,1,3,4] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[7,2,8,9,10,1,3,4,5,6] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 7
[1,4,6,8,5,7,2,3] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[10,9,8,6,4,2,1,3,5,7] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 3
[10,8,7,6,4,2,1,3,5,9] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 3
[10,9,8,7,6,4,2,1,3,5] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[10,8,6,5,4,2,1,3,7,9] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 3
[10,9,8,6,5,4,2,1,3,7] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[10,8,7,6,5,4,2,1,3,9] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[10,8,6,4,3,2,1,5,7,9] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => 3
[10,9,8,6,4,3,2,1,5,7] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[10,8,7,6,4,3,2,1,5,9] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[10,8,6,5,4,3,2,1,7,9] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[2,3,5,7,8,4,6,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,5,7,8,2,6,4,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[4,5,8,2,3,7,6,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[1,7,8,5,6,4,3,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[2,6,5,3,4,8,1,7] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,2,8,9,10,1,4,5,6,7] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 7
[2,3,4,7,8,9,1,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[2,3,6,7,8,9,1,4,5] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[2,5,6,7,8,9,1,3,4] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[2,3,4,5,8,9,10,1,6,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[2,3,4,7,8,9,10,1,5,6] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[2,3,6,7,8,9,10,1,4,5] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[2,5,6,7,8,9,10,1,3,4] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 8
[4,8,2,6,1,5,7,3] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[8,3,7,5,4,2,6,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[3,7,8,4,6,1,5,2] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[1,6,5,2,4,8,3,7] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[6,8,9,1,2,3,4,5,7] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[5,8,9,1,2,3,4,6,7] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => 7
[3,4,5,6,7,9,1,8,2] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[3,4,5,6,8,2,7,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[3,4,5,6,7,8,10,1,9,2] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[3,4,5,6,7,9,2,8,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[1,6,7,8,2,4,5,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[6,4,1,2,5,8,3,7] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[8,2,7,4,5,3,6,1] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[4,2,3,5,6,7,8,9,10,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 7
[1,7,8,3,6,5,4,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[8,5,1,3,4,6,7,2] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => 4
[8,5,9,3,6,1,2,4,7] => [[1,3,8,9],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9] => 5
[8,9,4,5,10,1,2,3,6,7] => [[1,2,5,9,10],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9,10] => 7
[8,4,3,9,10,1,2,5,6,7] => [[1,4,5,9,10],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9,10] => 6
[9,6,10,1,3,7,8,2,4,5] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 6
[9,10,6,7,4,5,1,2,3,8] => [[1,2,9,10],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9,10] => 6
[9,6,4,10,3,7,1,2,5,8] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9,10] => 5
[10,8,7,6,5,4,3,1,2,9] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[6,8,4,5,1,3,7,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[9,6,5,4,3,2,1,7,8] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[10,7,6,5,4,3,2,1,8,9] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => 2
[9,8,5,4,3,2,1,6,7] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[8,6,5,2,4,3,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => 2
[2,4,7,8,3,6,5,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[3,5,8,1,2,7,6,4] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[8,3,7,5,1,6,2,4] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[4,6,5,3,7,8,1,2] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[3,4,5,6,8,9,1,7,2] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[3,4,6,7,8,9,1,5,2] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[3,5,6,7,8,9,1,4,2] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[4,5,6,7,8,9,1,3,2] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[3,4,5,6,7,9,10,1,8,2] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[3,4,5,7,8,9,10,1,6,2] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[3,4,6,7,8,9,10,1,5,2] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[4,5,6,7,8,9,10,1,3,2] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[6,8,4,7,3,5,2,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[8,4,5,3,1,7,2,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[5,3,1,6,7,8,2,4] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[3,4,6,8,2,5,7,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[2,7,5,1,8,6,3,4] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => 5
[4,6,7,8,9,1,2,3,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[5,7,8,9,1,2,3,4,6] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => 7
[2,3,4,7,8,9,6,5,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[2,3,6,7,8,9,5,4,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[2,5,6,7,8,9,4,3,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[2,3,4,5,6,9,10,8,7,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[2,3,4,5,8,9,10,7,6,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[2,3,4,7,8,9,10,6,5,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[2,3,6,7,8,9,10,5,4,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[2,5,6,7,8,9,10,4,3,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[9,10,2,4,6,8,1,3,5,7] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => 7
[7,8,2,4,6,10,1,3,5,9] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => 7
[9,7,10,2,4,6,8,1,3,5] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 6
[5,6,2,4,8,10,1,3,7,9] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => 7
[5,6,9,10,2,4,8,1,3,7] => [[1,2,3,4],[5,6,7],[8,9,10]] => [8,9,10,5,6,7,1,2,3,4] => 7
[7,5,8,2,4,6,10,1,3,9] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => 6
[3,4,9,10,2,6,8,1,5,7] => [[1,2,3,4],[5,6,7],[8,9,10]] => [8,9,10,5,6,7,1,2,3,4] => 7
[9,3,4,7,10,2,6,8,1,5] => [[1,3,4,5],[2,7,8],[6,10],[9]] => [9,6,10,2,7,8,1,3,4,5] => 6
[8,9,10,3,4,7,2,6,1,5] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [9,10,7,8,4,5,6,1,2,3] => 6
[5,3,6,9,10,2,4,8,1,7] => [[1,3,4,5],[2,7,8],[6,10],[9]] => [9,6,10,2,7,8,1,3,4,5] => 6
[1,2,3,5,7,8,10,6,9,4] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[1,2,4,5,7,8,10,3,9,6] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 7
[3,6,8,1,5,7,4,2] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[4,5,6,8,1,3,7,2] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[4,3,2,8,9,1,5,6,7] => [[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => 5
[6,9,4,7,2,5,1,3,8] => [[1,2,9],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9] => 5
[6,4,3,9,2,7,1,5,8] => [[1,4,9],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9] => 4
[6,5,4,3,2,9,1,7,8] => [[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => 3
[2,7,8,9,1,3,4,5,10,6] => [[1,2,3,4,9],[5,6,7,8,10]] => [5,6,7,8,10,1,2,3,4,9] => 8
[8,3,4,9,10,1,2,5,6,7] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => 7
[5,9,10,2,6,7,1,3,4,8] => [[1,2,3,10],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3,10] => 7
[9,5,6,3,4,10,1,2,7,8] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[5,3,9,2,6,10,1,4,7,8] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => 6
[5,4,3,2,9,10,1,6,7,8] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6,10] => 5
[10,7,8,5,6,3,4,1,2,9] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => 5
[7,5,10,3,8,2,6,1,4,9] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => 5
[7,5,4,3,10,2,8,1,6,9] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5,10] => 4
[7,6,5,4,3,2,10,1,8,9] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7,10] => 3
[2,1,3,4,5,7,8,9,10,6] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => 8
[7,5,3,2,1,6,8,4] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[3,4,5,8,9,1,2,6,7] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[3,4,7,8,9,1,2,5,6] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[3,6,7,8,9,1,2,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[3,4,5,6,9,10,1,2,7,8] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 8
[3,4,5,8,9,10,1,2,6,7] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 8
[1,3,7,8,9,2,4,5,6] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[3,4,7,8,9,10,1,2,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 8
[2,6,7,8,9,1,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[3,6,7,8,9,10,1,2,4,5] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 8
[1,6,8,4,7,5,3,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[7,8,4,6,1,3,5,2] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => 4
[1,3,7,8,4,6,2,5] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 5
[6,8,7,2,1,5,4,3] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[1,2,3,4,5,6,8,9,7,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 8
[2,3,4,5,7,9,1,6,8] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[1,2,3,4,5,7,8,9,6,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => 8
[4,1,2,3,5,6,8,7,9] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[1,8,7,4,5,6,2,3] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,5,4,3,1,2,6,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[6,5,4,3,7,1,2,8,9] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => 4
[6,7,9,8,5,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[7,8,10,9,6,5,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 2
[5,7,9,8,6,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 2
[7,8,9,10,1,5,6,3,4,2] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [10,8,9,5,6,7,1,2,3,4] => 6
[9,8,6,1,2,3,4,5,7] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => 5
[9,8,7,5,1,2,3,4,6] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => 4
[9,8,7,6,4,1,2,3,5] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 3
[9,8,7,6,5,3,1,2,4] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[7,8,5,6,2,4,3,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
[3,8,7,5,4,2,6,1] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => 2
[5,7,8,2,3,6,4,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 4
[4,6,8,1,5,7,2,3] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 5
[9,8,7,4,3,2,1,5,6] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[9,8,7,6,3,2,1,4,5] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => 2
[3,1,2,4,5,6,9,7,8] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => 7
[1,2,3,5,6,7,8,4,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => 7
[1,3,4,6,7,2,8,5,9] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 7
[2,4,6,7,8,9,10,5,3,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 6
[3,5,6,7,8,9,2,4,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[3,4,6,7,8,2,5,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[2,4,6,7,8,9,1,3,5] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[7,1,6,3,5,4,8,2] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[1,3,6,7,8,9,2,4,5] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 7
[8,6,5,3,1,2,7,4] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => 3
[7,4,6,5,3,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => 2
[2,3,4,5,7,9,8,6,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 5
[1,2,3,4,7,9,5,6,8] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[1,2,3,4,6,7,9,5,8] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 7
[1,5,7,8,4,6,3,2] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 4
[9,3,10,1,2,4,5,6,7,8] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 7
[3,5,6,8,1,2,7,4] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[7,8,6,4,2,5,3,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[6,2,3,4,5,7,8,9,10,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => 7
[3,2,9,1,4,5,6,7,8] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => 6
[9,5,4,3,2,1,6,7,8] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 3
[10,3,4,1,2,5,6,7,8,9] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 7
[2,6,8,4,7,1,3,5] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => 5
[7,8,6,3,2,5,4,1] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => 3
[2,5,6,8,1,4,7,3] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[5,3,1,4,7,8,2,6] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,2,3,4,5,8,9,7,6] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 6
[1,2,3,4,8,9,6,7,5] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[1,2,4,7,8,5,6,3] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[8,3,6,5,7,4,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[8,2,6,5,7,4,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => 2
[6,1,5,4,7,3,8,2] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[8,1,6,2,5,4,7,3] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[10,7,8,1,2,3,4,5,6,9] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => 7
[6,7,10,1,2,3,4,5,8,9] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => 8
[3,7,8,5,6,2,4,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 4
[7,6,5,3,2,1,4,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => 3
[9,8,7,6,4,3,5,1,2] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => 2
[1,6,4,3,5,8,2,7] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 4
[7,8,2,6,5,4,3,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
[1,2,3,4,7,8,5,6,9] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[1,2,3,4,6,5,8,7,9] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 7
[1,2,3,4,8,9,5,6,7] => [[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => 7
[2,6,7,8,9,10,1,3,4,5] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 8
[3,5,6,7,9,1,2,4,8] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 7
[1,6,8,5,7,4,3,2] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 3
[5,6,7,8,9,1,3,4,2] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 6
[6,7,8,9,1,3,4,5,2] => [[1,2,3,4],[5,6,7,8],[9]] => [9,5,6,7,8,1,2,3,4] => 6
[6,7,8,9,1,4,5,2,3] => [[1,2,3,4],[5,6,7],[8,9]] => [8,9,5,6,7,1,2,3,4] => 6
[6,7,8,9,1,4,5,3,2] => [[1,2,3,4],[5,6,7],[8],[9]] => [9,8,5,6,7,1,2,3,4] => 5
[6,7,8,9,1,5,4,3,2] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 4
[7,8,9,1,5,6,3,4,2] => [[1,2,3],[4,5,6],[7,8],[9]] => [9,7,8,4,5,6,1,2,3] => 5
[7,8,9,1,5,6,4,3,2] => [[1,2,3],[4,5,6],[7],[8],[9]] => [9,8,7,4,5,6,1,2,3] => 4
[7,8,9,1,6,5,4,3,2] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 3
[5,6,7,8,9,10,1,3,4,2] => [[1,2,3,4,5,6],[7,8,9],[10]] => [10,7,8,9,1,2,3,4,5,6] => 7
[5,6,7,8,9,10,1,4,3,2] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [10,9,7,8,1,2,3,4,5,6] => 6
[7,8,9,10,1,4,5,6,2,3] => [[1,2,3,4],[5,6,7,8],[9,10]] => [9,10,5,6,7,8,1,2,3,4] => 7
[7,8,9,10,1,4,5,6,3,2] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [10,9,5,6,7,8,1,2,3,4] => 6
[7,8,9,10,1,5,6,4,3,2] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [10,9,8,5,6,7,1,2,3,4] => 5
[7,8,9,10,1,6,5,4,3,2] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 4
[8,9,10,1,6,7,4,5,2,3] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [9,10,7,8,4,5,6,1,2,3] => 6
[8,9,10,1,6,7,4,5,3,2] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 5
[8,9,10,1,6,7,5,4,3,2] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => 4
[8,9,10,1,7,6,5,4,3,2] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,5,1,2,3] => 3
[2,3,4,5,7,9,6,8,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 6
[2,3,5,6,8,4,7,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 5
[7,1,5,4,6,3,8,2] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
[2,3,7,8,1,4,6,5] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[6,2,5,4,1,8,3,7] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[8,9,5,6,3,4,1,2,7] => [[1,2,9],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9] => 5
[8,9,10,4,5,6,1,2,3,7] => [[1,2,3,10],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3,10] => 7
[4,5,6,7,9,8,3,2,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[5,6,7,8,10,9,4,3,2,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 4
[4,5,6,7,8,10,9,3,2,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 5
[3,5,6,7,9,8,4,2,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 4
[3,4,5,8,9,6,7,1,2] => [[1,2,3,4,5],[6,7],[8,9]] => [8,9,6,7,1,2,3,4,5] => 6
[8,2,5,4,1,7,3,6] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 4
[3,5,6,8,2,4,7,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 5
[10,5,4,1,2,3,6,7,8,9] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => 6
[8,3,1,4,6,7,2,5] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => 5
[1,2,3,4,8,5,9,6,7] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => 7
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,4,1 1,9,13,1 1,16,61,41,1 1,25,181,381,131,1
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 4\ q + q^{2}$
$F_{4} = 1 + 9\ q + 13\ q^{2} + q^{3}$
$F_{5} = 1 + 16\ q + 61\ q^{2} + 41\ q^{3} + q^{4}$
$F_{6} = 1 + 25\ q + 181\ q^{2} + 381\ q^{3} + 131\ q^{4} + q^{5}$
Description
The number of ascents of a permutation.
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 recording tableau
Description
Sends a permutation to its Robinson-Schensted recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
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