Identifier
-
Mp00077:
Semistandard tableaux
—shape⟶
Integer partitions
Mp00042: Integer partitions —initial tableau⟶ Standard tableaux
St000169: Standard tableaux ⟶ ℤ
Values
[[1,2]] => [2] => [[1,2]] => 0
[[2,2]] => [2] => [[1,2]] => 0
[[1],[2]] => [1,1] => [[1],[2]] => 1
[[1,3]] => [2] => [[1,2]] => 0
[[2,3]] => [2] => [[1,2]] => 0
[[3,3]] => [2] => [[1,2]] => 0
[[1],[3]] => [1,1] => [[1],[2]] => 1
[[2],[3]] => [1,1] => [[1],[2]] => 1
[[1,1,2]] => [3] => [[1,2,3]] => 0
[[1,2,2]] => [3] => [[1,2,3]] => 0
[[2,2,2]] => [3] => [[1,2,3]] => 0
[[1,1],[2]] => [2,1] => [[1,2],[3]] => 1
[[1,2],[2]] => [2,1] => [[1,2],[3]] => 1
[[1,4]] => [2] => [[1,2]] => 0
[[2,4]] => [2] => [[1,2]] => 0
[[3,4]] => [2] => [[1,2]] => 0
[[4,4]] => [2] => [[1,2]] => 0
[[1],[4]] => [1,1] => [[1],[2]] => 1
[[2],[4]] => [1,1] => [[1],[2]] => 1
[[3],[4]] => [1,1] => [[1],[2]] => 1
[[1,1,3]] => [3] => [[1,2,3]] => 0
[[1,2,3]] => [3] => [[1,2,3]] => 0
[[1,3,3]] => [3] => [[1,2,3]] => 0
[[2,2,3]] => [3] => [[1,2,3]] => 0
[[2,3,3]] => [3] => [[1,2,3]] => 0
[[3,3,3]] => [3] => [[1,2,3]] => 0
[[1,1],[3]] => [2,1] => [[1,2],[3]] => 1
[[1,2],[3]] => [2,1] => [[1,2],[3]] => 1
[[1,3],[2]] => [2,1] => [[1,2],[3]] => 1
[[1,3],[3]] => [2,1] => [[1,2],[3]] => 1
[[2,2],[3]] => [2,1] => [[1,2],[3]] => 1
[[2,3],[3]] => [2,1] => [[1,2],[3]] => 1
[[1],[2],[3]] => [1,1,1] => [[1],[2],[3]] => 3
[[1,1,1,2]] => [4] => [[1,2,3,4]] => 0
[[1,1,2,2]] => [4] => [[1,2,3,4]] => 0
[[1,2,2,2]] => [4] => [[1,2,3,4]] => 0
[[2,2,2,2]] => [4] => [[1,2,3,4]] => 0
[[1,1,1],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,2],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,2],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => 2
[[1,5]] => [2] => [[1,2]] => 0
[[2,5]] => [2] => [[1,2]] => 0
[[3,5]] => [2] => [[1,2]] => 0
[[4,5]] => [2] => [[1,2]] => 0
[[5,5]] => [2] => [[1,2]] => 0
[[1],[5]] => [1,1] => [[1],[2]] => 1
[[2],[5]] => [1,1] => [[1],[2]] => 1
[[3],[5]] => [1,1] => [[1],[2]] => 1
[[4],[5]] => [1,1] => [[1],[2]] => 1
[[1,1,4]] => [3] => [[1,2,3]] => 0
[[1,2,4]] => [3] => [[1,2,3]] => 0
[[1,3,4]] => [3] => [[1,2,3]] => 0
[[1,4,4]] => [3] => [[1,2,3]] => 0
[[2,2,4]] => [3] => [[1,2,3]] => 0
[[2,3,4]] => [3] => [[1,2,3]] => 0
[[2,4,4]] => [3] => [[1,2,3]] => 0
[[3,3,4]] => [3] => [[1,2,3]] => 0
[[3,4,4]] => [3] => [[1,2,3]] => 0
[[4,4,4]] => [3] => [[1,2,3]] => 0
[[1,1],[4]] => [2,1] => [[1,2],[3]] => 1
[[1,2],[4]] => [2,1] => [[1,2],[3]] => 1
[[1,4],[2]] => [2,1] => [[1,2],[3]] => 1
[[1,3],[4]] => [2,1] => [[1,2],[3]] => 1
[[1,4],[3]] => [2,1] => [[1,2],[3]] => 1
[[1,4],[4]] => [2,1] => [[1,2],[3]] => 1
[[2,2],[4]] => [2,1] => [[1,2],[3]] => 1
[[2,3],[4]] => [2,1] => [[1,2],[3]] => 1
[[2,4],[3]] => [2,1] => [[1,2],[3]] => 1
[[2,4],[4]] => [2,1] => [[1,2],[3]] => 1
[[3,3],[4]] => [2,1] => [[1,2],[3]] => 1
[[3,4],[4]] => [2,1] => [[1,2],[3]] => 1
[[1],[2],[4]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[3],[4]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[3],[4]] => [1,1,1] => [[1],[2],[3]] => 3
[[1,1,1,3]] => [4] => [[1,2,3,4]] => 0
[[1,1,2,3]] => [4] => [[1,2,3,4]] => 0
[[1,1,3,3]] => [4] => [[1,2,3,4]] => 0
[[1,2,2,3]] => [4] => [[1,2,3,4]] => 0
[[1,2,3,3]] => [4] => [[1,2,3,4]] => 0
[[1,3,3,3]] => [4] => [[1,2,3,4]] => 0
[[2,2,2,3]] => [4] => [[1,2,3,4]] => 0
[[2,2,3,3]] => [4] => [[1,2,3,4]] => 0
[[2,3,3,3]] => [4] => [[1,2,3,4]] => 0
[[3,3,3,3]] => [4] => [[1,2,3,4]] => 0
[[1,1,1],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,2],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,3],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,3],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,2],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,3],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,3],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,3],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,3],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,2],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,3],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,3],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1],[2,3]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[3,3]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[2,3]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[3,3]] => [2,2] => [[1,2],[3,4]] => 2
>>> Load all 2544 entries. <<<[[2,2],[3,3]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[2],[3]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[2],[3]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[2],[3]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,1,1,1,2]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,2,2]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,2,2]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,2,2]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,2,2]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,1],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,2],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,2],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,2],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1],[2,2]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[2,2]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,6]] => [2] => [[1,2]] => 0
[[2,6]] => [2] => [[1,2]] => 0
[[3,6]] => [2] => [[1,2]] => 0
[[4,6]] => [2] => [[1,2]] => 0
[[5,6]] => [2] => [[1,2]] => 0
[[6,6]] => [2] => [[1,2]] => 0
[[1],[6]] => [1,1] => [[1],[2]] => 1
[[2],[6]] => [1,1] => [[1],[2]] => 1
[[3],[6]] => [1,1] => [[1],[2]] => 1
[[4],[6]] => [1,1] => [[1],[2]] => 1
[[5],[6]] => [1,1] => [[1],[2]] => 1
[[1,1,5]] => [3] => [[1,2,3]] => 0
[[1,2,5]] => [3] => [[1,2,3]] => 0
[[1,3,5]] => [3] => [[1,2,3]] => 0
[[1,4,5]] => [3] => [[1,2,3]] => 0
[[1,5,5]] => [3] => [[1,2,3]] => 0
[[2,2,5]] => [3] => [[1,2,3]] => 0
[[2,3,5]] => [3] => [[1,2,3]] => 0
[[2,4,5]] => [3] => [[1,2,3]] => 0
[[2,5,5]] => [3] => [[1,2,3]] => 0
[[3,3,5]] => [3] => [[1,2,3]] => 0
[[3,4,5]] => [3] => [[1,2,3]] => 0
[[3,5,5]] => [3] => [[1,2,3]] => 0
[[4,4,5]] => [3] => [[1,2,3]] => 0
[[4,5,5]] => [3] => [[1,2,3]] => 0
[[5,5,5]] => [3] => [[1,2,3]] => 0
[[1,1],[5]] => [2,1] => [[1,2],[3]] => 1
[[1,2],[5]] => [2,1] => [[1,2],[3]] => 1
[[1,5],[2]] => [2,1] => [[1,2],[3]] => 1
[[1,3],[5]] => [2,1] => [[1,2],[3]] => 1
[[1,5],[3]] => [2,1] => [[1,2],[3]] => 1
[[1,4],[5]] => [2,1] => [[1,2],[3]] => 1
[[1,5],[4]] => [2,1] => [[1,2],[3]] => 1
[[1,5],[5]] => [2,1] => [[1,2],[3]] => 1
[[2,2],[5]] => [2,1] => [[1,2],[3]] => 1
[[2,3],[5]] => [2,1] => [[1,2],[3]] => 1
[[2,5],[3]] => [2,1] => [[1,2],[3]] => 1
[[2,4],[5]] => [2,1] => [[1,2],[3]] => 1
[[2,5],[4]] => [2,1] => [[1,2],[3]] => 1
[[2,5],[5]] => [2,1] => [[1,2],[3]] => 1
[[3,3],[5]] => [2,1] => [[1,2],[3]] => 1
[[3,4],[5]] => [2,1] => [[1,2],[3]] => 1
[[3,5],[4]] => [2,1] => [[1,2],[3]] => 1
[[3,5],[5]] => [2,1] => [[1,2],[3]] => 1
[[4,4],[5]] => [2,1] => [[1,2],[3]] => 1
[[4,5],[5]] => [2,1] => [[1,2],[3]] => 1
[[1],[2],[5]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[3],[5]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[4],[5]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[3],[5]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[4],[5]] => [1,1,1] => [[1],[2],[3]] => 3
[[3],[4],[5]] => [1,1,1] => [[1],[2],[3]] => 3
[[1,1,1,4]] => [4] => [[1,2,3,4]] => 0
[[1,1,2,4]] => [4] => [[1,2,3,4]] => 0
[[1,1,3,4]] => [4] => [[1,2,3,4]] => 0
[[1,1,4,4]] => [4] => [[1,2,3,4]] => 0
[[1,2,2,4]] => [4] => [[1,2,3,4]] => 0
[[1,2,3,4]] => [4] => [[1,2,3,4]] => 0
[[1,2,4,4]] => [4] => [[1,2,3,4]] => 0
[[1,3,3,4]] => [4] => [[1,2,3,4]] => 0
[[1,3,4,4]] => [4] => [[1,2,3,4]] => 0
[[1,4,4,4]] => [4] => [[1,2,3,4]] => 0
[[2,2,2,4]] => [4] => [[1,2,3,4]] => 0
[[2,2,3,4]] => [4] => [[1,2,3,4]] => 0
[[2,2,4,4]] => [4] => [[1,2,3,4]] => 0
[[2,3,3,4]] => [4] => [[1,2,3,4]] => 0
[[2,3,4,4]] => [4] => [[1,2,3,4]] => 0
[[2,4,4,4]] => [4] => [[1,2,3,4]] => 0
[[3,3,3,4]] => [4] => [[1,2,3,4]] => 0
[[3,3,4,4]] => [4] => [[1,2,3,4]] => 0
[[3,4,4,4]] => [4] => [[1,2,3,4]] => 0
[[4,4,4,4]] => [4] => [[1,2,3,4]] => 0
[[1,1,1],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,2],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,4],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,3],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,4],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,2],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,4],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,3],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,4],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,4],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,4],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,3],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,4],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,4],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,2],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,3],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,4],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,3],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,4],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,4],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,3],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,4],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1],[2,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[3,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[4,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[2,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[3,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[2,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[4,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[3,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[4,4]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[3,4]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[4,4]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[3,4]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[4,4]] => [2,2] => [[1,2],[3,4]] => 2
[[3,3],[4,4]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[2],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,1],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[2],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[2],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[2],[3]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[2],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,2],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,3],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,4],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1],[2],[3],[4]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1,1,1,1,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,2,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,2,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,3,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,2,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,3,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,3,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,2,3]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,3,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,3,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,3,3,3]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,1],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,2],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,3],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,2],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,3],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,3],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,2],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,3],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,3],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,3],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,2],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,3],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[2,2]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,2],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,3],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,2],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,3],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,2],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,3],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,3],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1],[2,2],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,3],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,3],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1,1,1,1,2]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,2,2]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,2,2,2]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,2,2,2]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,2,2,2]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,2,2,2]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,1],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,2],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,2],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,2],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,2],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,2],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,2],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1],[2,2,2]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,7]] => [2] => [[1,2]] => 0
[[2,7]] => [2] => [[1,2]] => 0
[[3,7]] => [2] => [[1,2]] => 0
[[4,7]] => [2] => [[1,2]] => 0
[[5,7]] => [2] => [[1,2]] => 0
[[6,7]] => [2] => [[1,2]] => 0
[[7,7]] => [2] => [[1,2]] => 0
[[1],[7]] => [1,1] => [[1],[2]] => 1
[[2],[7]] => [1,1] => [[1],[2]] => 1
[[3],[7]] => [1,1] => [[1],[2]] => 1
[[4],[7]] => [1,1] => [[1],[2]] => 1
[[5],[7]] => [1,1] => [[1],[2]] => 1
[[6],[7]] => [1,1] => [[1],[2]] => 1
[[1,1,6]] => [3] => [[1,2,3]] => 0
[[1,2,6]] => [3] => [[1,2,3]] => 0
[[1,3,6]] => [3] => [[1,2,3]] => 0
[[1,4,6]] => [3] => [[1,2,3]] => 0
[[1,5,6]] => [3] => [[1,2,3]] => 0
[[1,6,6]] => [3] => [[1,2,3]] => 0
[[2,2,6]] => [3] => [[1,2,3]] => 0
[[2,3,6]] => [3] => [[1,2,3]] => 0
[[2,4,6]] => [3] => [[1,2,3]] => 0
[[2,5,6]] => [3] => [[1,2,3]] => 0
[[2,6,6]] => [3] => [[1,2,3]] => 0
[[3,3,6]] => [3] => [[1,2,3]] => 0
[[3,4,6]] => [3] => [[1,2,3]] => 0
[[3,5,6]] => [3] => [[1,2,3]] => 0
[[3,6,6]] => [3] => [[1,2,3]] => 0
[[4,4,6]] => [3] => [[1,2,3]] => 0
[[4,5,6]] => [3] => [[1,2,3]] => 0
[[4,6,6]] => [3] => [[1,2,3]] => 0
[[5,5,6]] => [3] => [[1,2,3]] => 0
[[5,6,6]] => [3] => [[1,2,3]] => 0
[[6,6,6]] => [3] => [[1,2,3]] => 0
[[1,1],[6]] => [2,1] => [[1,2],[3]] => 1
[[1,2],[6]] => [2,1] => [[1,2],[3]] => 1
[[1,6],[2]] => [2,1] => [[1,2],[3]] => 1
[[1,3],[6]] => [2,1] => [[1,2],[3]] => 1
[[1,6],[3]] => [2,1] => [[1,2],[3]] => 1
[[1,4],[6]] => [2,1] => [[1,2],[3]] => 1
[[1,6],[4]] => [2,1] => [[1,2],[3]] => 1
[[1,5],[6]] => [2,1] => [[1,2],[3]] => 1
[[1,6],[5]] => [2,1] => [[1,2],[3]] => 1
[[1,6],[6]] => [2,1] => [[1,2],[3]] => 1
[[2,2],[6]] => [2,1] => [[1,2],[3]] => 1
[[2,3],[6]] => [2,1] => [[1,2],[3]] => 1
[[2,6],[3]] => [2,1] => [[1,2],[3]] => 1
[[2,4],[6]] => [2,1] => [[1,2],[3]] => 1
[[2,6],[4]] => [2,1] => [[1,2],[3]] => 1
[[2,5],[6]] => [2,1] => [[1,2],[3]] => 1
[[2,6],[5]] => [2,1] => [[1,2],[3]] => 1
[[2,6],[6]] => [2,1] => [[1,2],[3]] => 1
[[3,3],[6]] => [2,1] => [[1,2],[3]] => 1
[[3,4],[6]] => [2,1] => [[1,2],[3]] => 1
[[3,6],[4]] => [2,1] => [[1,2],[3]] => 1
[[3,5],[6]] => [2,1] => [[1,2],[3]] => 1
[[3,6],[5]] => [2,1] => [[1,2],[3]] => 1
[[3,6],[6]] => [2,1] => [[1,2],[3]] => 1
[[4,4],[6]] => [2,1] => [[1,2],[3]] => 1
[[4,5],[6]] => [2,1] => [[1,2],[3]] => 1
[[4,6],[5]] => [2,1] => [[1,2],[3]] => 1
[[4,6],[6]] => [2,1] => [[1,2],[3]] => 1
[[5,5],[6]] => [2,1] => [[1,2],[3]] => 1
[[5,6],[6]] => [2,1] => [[1,2],[3]] => 1
[[1],[2],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[3],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[4],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[5],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[3],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[4],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[5],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[3],[4],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[3],[5],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[4],[5],[6]] => [1,1,1] => [[1],[2],[3]] => 3
[[1,1,1,5]] => [4] => [[1,2,3,4]] => 0
[[1,1,2,5]] => [4] => [[1,2,3,4]] => 0
[[1,1,3,5]] => [4] => [[1,2,3,4]] => 0
[[1,1,4,5]] => [4] => [[1,2,3,4]] => 0
[[1,1,5,5]] => [4] => [[1,2,3,4]] => 0
[[1,2,2,5]] => [4] => [[1,2,3,4]] => 0
[[1,2,3,5]] => [4] => [[1,2,3,4]] => 0
[[1,2,4,5]] => [4] => [[1,2,3,4]] => 0
[[1,2,5,5]] => [4] => [[1,2,3,4]] => 0
[[1,3,3,5]] => [4] => [[1,2,3,4]] => 0
[[1,3,4,5]] => [4] => [[1,2,3,4]] => 0
[[1,3,5,5]] => [4] => [[1,2,3,4]] => 0
[[1,4,4,5]] => [4] => [[1,2,3,4]] => 0
[[1,4,5,5]] => [4] => [[1,2,3,4]] => 0
[[1,5,5,5]] => [4] => [[1,2,3,4]] => 0
[[2,2,2,5]] => [4] => [[1,2,3,4]] => 0
[[2,2,3,5]] => [4] => [[1,2,3,4]] => 0
[[2,2,4,5]] => [4] => [[1,2,3,4]] => 0
[[2,2,5,5]] => [4] => [[1,2,3,4]] => 0
[[2,3,3,5]] => [4] => [[1,2,3,4]] => 0
[[2,3,4,5]] => [4] => [[1,2,3,4]] => 0
[[2,3,5,5]] => [4] => [[1,2,3,4]] => 0
[[2,4,4,5]] => [4] => [[1,2,3,4]] => 0
[[2,4,5,5]] => [4] => [[1,2,3,4]] => 0
[[2,5,5,5]] => [4] => [[1,2,3,4]] => 0
[[3,3,3,5]] => [4] => [[1,2,3,4]] => 0
[[3,3,4,5]] => [4] => [[1,2,3,4]] => 0
[[3,3,5,5]] => [4] => [[1,2,3,4]] => 0
[[3,4,4,5]] => [4] => [[1,2,3,4]] => 0
[[3,4,5,5]] => [4] => [[1,2,3,4]] => 0
[[3,5,5,5]] => [4] => [[1,2,3,4]] => 0
[[4,4,4,5]] => [4] => [[1,2,3,4]] => 0
[[4,4,5,5]] => [4] => [[1,2,3,4]] => 0
[[4,5,5,5]] => [4] => [[1,2,3,4]] => 0
[[5,5,5,5]] => [4] => [[1,2,3,4]] => 0
[[1,1,1],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,2],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,5],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,3],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,2],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,5],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,3],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,5],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,5],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,5],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,3],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,2],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,3],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,3],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,5,5],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,5,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,5,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,3],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,5,5],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,5,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[4,4,4],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[4,4,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[4,5,5],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1],[2,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[3,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[2,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[3,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[2,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[2,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[3,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[3,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[3,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[3,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,4],[3,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,4],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[2,4],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[3,3],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[3,3],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[3,4],[4,5]] => [2,2] => [[1,2],[3,4]] => 2
[[3,4],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[4,4],[5,5]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[2],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,1],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,1],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[2],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[2],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[2],[3]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[2],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[2],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[2],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,2],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,2],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,3],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,3],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,4],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,5],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,5],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,4],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,5],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,3],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,4],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,5],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1],[2],[3],[5]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1],[2],[4],[5]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1],[3],[4],[5]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[2],[3],[4],[5]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1,1,1,1,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,2,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,2,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,3,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,3,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,2,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,3,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,3,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,3,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,3,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,4,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,2,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,3,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,3,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,3,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,3,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[2,4,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,3,3,4]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,3,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[3,4,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[4,4,4,4,4]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,1],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,2],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,2],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,4,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,4,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,2],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,4,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,4,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,4,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,4,4],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,4,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,4,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,2],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,4,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,4,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,4,4],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,3,3],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,3,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,4,4,4],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[2,2]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,3],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,4],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,3],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,3],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,4],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,4],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,2],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,2],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,3],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,4],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,3],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,4],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,4],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,3],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,3],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,4],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,4],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,3],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,4],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,1],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,2],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,2],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,3],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,4],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,4],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,3],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,4],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,2],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,2],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,3],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,4],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,4],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,3],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,3],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,4],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,4],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,4],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,4],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,4],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,3],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,4],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,4],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,2],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,3],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,4],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,3],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,4],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,4,4],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1],[2,2],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,3],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,4],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,4],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[3,3],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[3,4],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,3],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,4],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,4],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[3,3],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[2,4],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[3,4],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[2,4],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[3,4],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,2],[3,3],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,2],[3,4],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,3],[3,4],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2],[3],[4]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,2],[2],[3],[4]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,3],[2],[3],[4]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,4],[2],[3],[4]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,1,1,1,1,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,2,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,2,2,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,2,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,2,2,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,2,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,3,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,2,2,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,2,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,3,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,3,3,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,2,2,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,2,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,3,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,3,3,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[3,3,3,3,3,3]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,1],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,2],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,2],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,3,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,2],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,3,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,3,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,2],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,3,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,3,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,3,3],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,2,2],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,2,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,3,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,3,3,3,3],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,1],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,2],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,3],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,2],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,3],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,3],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,2],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,3],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,2],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,3],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,3],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,3],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,3],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,3],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,2],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,2],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,3],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,3],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,3],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,3],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,2],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,3],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,3,3],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,1],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,2],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,3],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,2],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,3],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,3,3],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,2],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,3],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3,3],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,3,3],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1],[2,2,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[2,3,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[3,3,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[2,2,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[2,3,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[3,3,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,2],[2,3,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,2],[3,3,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,2,2],[3,3,3]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[2,2],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,1],[2,3],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,2],[2,2],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,2],[2,3],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,3],[2,2],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,3],[2,3],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,2],[2,3],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,3],[2,3],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1],[2,2],[3,3]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,1,1,1,1,1,2]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,1,2,2]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,2,2,2]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,2,2,2,2]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,2,2,2,2,2]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,2,2,2,2,2,2]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[2,2,2,2,2,2,2]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,1,1],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,1,2],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,2,2],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,2,2,2],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,2,2,2,2],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,2,2,2,2],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,1],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1,2],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,2,2],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,2,2],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1],[2,2,2]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,2],[2,2,2]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,8]] => [2] => [[1,2]] => 0
[[2,8]] => [2] => [[1,2]] => 0
[[3,8]] => [2] => [[1,2]] => 0
[[4,8]] => [2] => [[1,2]] => 0
[[5,8]] => [2] => [[1,2]] => 0
[[6,8]] => [2] => [[1,2]] => 0
[[7,8]] => [2] => [[1,2]] => 0
[[8,8]] => [2] => [[1,2]] => 0
[[1],[8]] => [1,1] => [[1],[2]] => 1
[[2],[8]] => [1,1] => [[1],[2]] => 1
[[3],[8]] => [1,1] => [[1],[2]] => 1
[[4],[8]] => [1,1] => [[1],[2]] => 1
[[5],[8]] => [1,1] => [[1],[2]] => 1
[[6],[8]] => [1,1] => [[1],[2]] => 1
[[7],[8]] => [1,1] => [[1],[2]] => 1
[[1,1,7]] => [3] => [[1,2,3]] => 0
[[1,2,7]] => [3] => [[1,2,3]] => 0
[[1,3,7]] => [3] => [[1,2,3]] => 0
[[1,4,7]] => [3] => [[1,2,3]] => 0
[[1,5,7]] => [3] => [[1,2,3]] => 0
[[1,6,7]] => [3] => [[1,2,3]] => 0
[[1,7,7]] => [3] => [[1,2,3]] => 0
[[2,2,7]] => [3] => [[1,2,3]] => 0
[[2,3,7]] => [3] => [[1,2,3]] => 0
[[2,4,7]] => [3] => [[1,2,3]] => 0
[[2,5,7]] => [3] => [[1,2,3]] => 0
[[2,6,7]] => [3] => [[1,2,3]] => 0
[[2,7,7]] => [3] => [[1,2,3]] => 0
[[3,3,7]] => [3] => [[1,2,3]] => 0
[[3,4,7]] => [3] => [[1,2,3]] => 0
[[3,5,7]] => [3] => [[1,2,3]] => 0
[[3,6,7]] => [3] => [[1,2,3]] => 0
[[3,7,7]] => [3] => [[1,2,3]] => 0
[[4,4,7]] => [3] => [[1,2,3]] => 0
[[4,5,7]] => [3] => [[1,2,3]] => 0
[[4,6,7]] => [3] => [[1,2,3]] => 0
[[4,7,7]] => [3] => [[1,2,3]] => 0
[[5,5,7]] => [3] => [[1,2,3]] => 0
[[5,6,7]] => [3] => [[1,2,3]] => 0
[[5,7,7]] => [3] => [[1,2,3]] => 0
[[6,6,7]] => [3] => [[1,2,3]] => 0
[[6,7,7]] => [3] => [[1,2,3]] => 0
[[7,7,7]] => [3] => [[1,2,3]] => 0
[[1,1],[7]] => [2,1] => [[1,2],[3]] => 1
[[1,2],[7]] => [2,1] => [[1,2],[3]] => 1
[[1,7],[2]] => [2,1] => [[1,2],[3]] => 1
[[1,3],[7]] => [2,1] => [[1,2],[3]] => 1
[[1,7],[3]] => [2,1] => [[1,2],[3]] => 1
[[1,4],[7]] => [2,1] => [[1,2],[3]] => 1
[[1,7],[4]] => [2,1] => [[1,2],[3]] => 1
[[1,5],[7]] => [2,1] => [[1,2],[3]] => 1
[[1,7],[5]] => [2,1] => [[1,2],[3]] => 1
[[1,6],[7]] => [2,1] => [[1,2],[3]] => 1
[[1,7],[6]] => [2,1] => [[1,2],[3]] => 1
[[1,7],[7]] => [2,1] => [[1,2],[3]] => 1
[[2,2],[7]] => [2,1] => [[1,2],[3]] => 1
[[2,3],[7]] => [2,1] => [[1,2],[3]] => 1
[[2,7],[3]] => [2,1] => [[1,2],[3]] => 1
[[2,4],[7]] => [2,1] => [[1,2],[3]] => 1
[[2,7],[4]] => [2,1] => [[1,2],[3]] => 1
[[2,5],[7]] => [2,1] => [[1,2],[3]] => 1
[[2,7],[5]] => [2,1] => [[1,2],[3]] => 1
[[2,6],[7]] => [2,1] => [[1,2],[3]] => 1
[[2,7],[6]] => [2,1] => [[1,2],[3]] => 1
[[2,7],[7]] => [2,1] => [[1,2],[3]] => 1
[[3,3],[7]] => [2,1] => [[1,2],[3]] => 1
[[3,4],[7]] => [2,1] => [[1,2],[3]] => 1
[[3,7],[4]] => [2,1] => [[1,2],[3]] => 1
[[3,5],[7]] => [2,1] => [[1,2],[3]] => 1
[[3,7],[5]] => [2,1] => [[1,2],[3]] => 1
[[3,6],[7]] => [2,1] => [[1,2],[3]] => 1
[[3,7],[6]] => [2,1] => [[1,2],[3]] => 1
[[3,7],[7]] => [2,1] => [[1,2],[3]] => 1
[[4,4],[7]] => [2,1] => [[1,2],[3]] => 1
[[4,5],[7]] => [2,1] => [[1,2],[3]] => 1
[[4,7],[5]] => [2,1] => [[1,2],[3]] => 1
[[4,6],[7]] => [2,1] => [[1,2],[3]] => 1
[[4,7],[6]] => [2,1] => [[1,2],[3]] => 1
[[4,7],[7]] => [2,1] => [[1,2],[3]] => 1
[[5,5],[7]] => [2,1] => [[1,2],[3]] => 1
[[5,6],[7]] => [2,1] => [[1,2],[3]] => 1
[[5,7],[6]] => [2,1] => [[1,2],[3]] => 1
[[5,7],[7]] => [2,1] => [[1,2],[3]] => 1
[[6,6],[7]] => [2,1] => [[1,2],[3]] => 1
[[6,7],[7]] => [2,1] => [[1,2],[3]] => 1
[[1],[2],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[3],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[4],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[5],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[1],[6],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[3],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[4],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[5],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[2],[6],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[3],[4],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[3],[5],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[3],[6],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[4],[5],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[4],[6],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[5],[6],[7]] => [1,1,1] => [[1],[2],[3]] => 3
[[1,1,1,6]] => [4] => [[1,2,3,4]] => 0
[[1,1,2,6]] => [4] => [[1,2,3,4]] => 0
[[1,1,3,6]] => [4] => [[1,2,3,4]] => 0
[[1,1,4,6]] => [4] => [[1,2,3,4]] => 0
[[1,1,5,6]] => [4] => [[1,2,3,4]] => 0
[[1,1,6,6]] => [4] => [[1,2,3,4]] => 0
[[1,2,2,6]] => [4] => [[1,2,3,4]] => 0
[[1,2,3,6]] => [4] => [[1,2,3,4]] => 0
[[1,2,4,6]] => [4] => [[1,2,3,4]] => 0
[[1,2,5,6]] => [4] => [[1,2,3,4]] => 0
[[1,2,6,6]] => [4] => [[1,2,3,4]] => 0
[[1,3,3,6]] => [4] => [[1,2,3,4]] => 0
[[1,3,4,6]] => [4] => [[1,2,3,4]] => 0
[[1,3,5,6]] => [4] => [[1,2,3,4]] => 0
[[1,3,6,6]] => [4] => [[1,2,3,4]] => 0
[[1,4,4,6]] => [4] => [[1,2,3,4]] => 0
[[1,4,5,6]] => [4] => [[1,2,3,4]] => 0
[[1,4,6,6]] => [4] => [[1,2,3,4]] => 0
[[1,5,5,6]] => [4] => [[1,2,3,4]] => 0
[[1,5,6,6]] => [4] => [[1,2,3,4]] => 0
[[1,6,6,6]] => [4] => [[1,2,3,4]] => 0
[[2,2,2,6]] => [4] => [[1,2,3,4]] => 0
[[2,2,3,6]] => [4] => [[1,2,3,4]] => 0
[[2,2,4,6]] => [4] => [[1,2,3,4]] => 0
[[2,2,5,6]] => [4] => [[1,2,3,4]] => 0
[[2,2,6,6]] => [4] => [[1,2,3,4]] => 0
[[2,3,3,6]] => [4] => [[1,2,3,4]] => 0
[[2,3,4,6]] => [4] => [[1,2,3,4]] => 0
[[2,3,5,6]] => [4] => [[1,2,3,4]] => 0
[[2,3,6,6]] => [4] => [[1,2,3,4]] => 0
[[2,4,4,6]] => [4] => [[1,2,3,4]] => 0
[[2,4,5,6]] => [4] => [[1,2,3,4]] => 0
[[2,4,6,6]] => [4] => [[1,2,3,4]] => 0
[[2,5,5,6]] => [4] => [[1,2,3,4]] => 0
[[2,5,6,6]] => [4] => [[1,2,3,4]] => 0
[[2,6,6,6]] => [4] => [[1,2,3,4]] => 0
[[3,3,3,6]] => [4] => [[1,2,3,4]] => 0
[[3,3,4,6]] => [4] => [[1,2,3,4]] => 0
[[3,3,5,6]] => [4] => [[1,2,3,4]] => 0
[[3,3,6,6]] => [4] => [[1,2,3,4]] => 0
[[3,4,4,6]] => [4] => [[1,2,3,4]] => 0
[[3,4,5,6]] => [4] => [[1,2,3,4]] => 0
[[3,4,6,6]] => [4] => [[1,2,3,4]] => 0
[[3,5,5,6]] => [4] => [[1,2,3,4]] => 0
[[3,5,6,6]] => [4] => [[1,2,3,4]] => 0
[[3,6,6,6]] => [4] => [[1,2,3,4]] => 0
[[4,4,4,6]] => [4] => [[1,2,3,4]] => 0
[[4,4,5,6]] => [4] => [[1,2,3,4]] => 0
[[4,4,6,6]] => [4] => [[1,2,3,4]] => 0
[[4,5,5,6]] => [4] => [[1,2,3,4]] => 0
[[4,5,6,6]] => [4] => [[1,2,3,4]] => 0
[[4,6,6,6]] => [4] => [[1,2,3,4]] => 0
[[5,5,5,6]] => [4] => [[1,2,3,4]] => 0
[[5,5,6,6]] => [4] => [[1,2,3,4]] => 0
[[5,6,6,6]] => [4] => [[1,2,3,4]] => 0
[[6,6,6,6]] => [4] => [[1,2,3,4]] => 0
[[1,1,1],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,2],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,6],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,3],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,2],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,6],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,3],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,6],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,6],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,6],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,2,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,6,6],[2]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,3],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,3,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,6,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,4,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,6,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,5,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,6,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[1,6,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,2],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,3],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,2,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,3],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,5,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,3,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,6,6],[3]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,5,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,4,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,6,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[2,5,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,5,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,5,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[2,6,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[2,6,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,3],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,3,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,5,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,4,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,6,6],[4]] => [3,1] => [[1,2,3],[4]] => 1
[[3,5,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,5,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,5,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[3,6,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[3,6,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[4,4,4],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[4,4,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[4,4,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[4,4,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[4,5,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[4,5,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[4,5,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[4,6,6],[5]] => [3,1] => [[1,2,3],[4]] => 1
[[4,6,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[5,5,5],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[5,5,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[5,6,6],[6]] => [3,1] => [[1,2,3],[4]] => 1
[[1,1],[2,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[2,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[2,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[2,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,5],[2,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,5],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,3],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,5],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,5],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,5],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,2],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,4],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,5],[3,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,3],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,4],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,4],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,5],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,4],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,5],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[2,5],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,3],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,3],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,3],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,4],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,4],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,5],[4,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,4],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,5],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[3,5],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[4,4],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[4,4],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[4,5],[5,6]] => [2,2] => [[1,2],[3,4]] => 2
[[4,5],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[5,5],[6,6]] => [2,2] => [[1,2],[3,4]] => 2
[[1,1],[2],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,1],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,1],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,1],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[2],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[2],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[2],[3]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[2],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[2],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,2],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[2],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[2],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[2],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,3],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,4],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,5],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1,6],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,2],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,2],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,2],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,3],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,3],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,4],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,6],[3],[4]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,3],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,5],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,6],[3],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,6],[3],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,4],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,4],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,5],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,6],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,6],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,5],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[2,6],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,3],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,3],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,4],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,4],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,5],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,6],[4],[5]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,6],[4],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,5],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[3,6],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[4,4],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[4,5],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[4,6],[5],[6]] => [2,1,1] => [[1,2],[3],[4]] => 3
[[1],[2],[3],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1],[2],[4],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1],[2],[5],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1],[3],[4],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1],[3],[5],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1],[4],[5],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[2],[3],[4],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[2],[3],[5],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[2],[4],[5],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[3],[4],[5],[6]] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1,1,1,1,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,2,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,2,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,2,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,3,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,3,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,3,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,2,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,2,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,3,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,3,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,3,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,2,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,3,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,3,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,3,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,3,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,4,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,4,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,4,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,5,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,2,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,2,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,3,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,3,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,3,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,2,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,3,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,3,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,3,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,3,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,4,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,4,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,4,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[2,5,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,3,3,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,3,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,3,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,3,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,4,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,4,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,4,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[3,5,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[4,4,4,4,5]] => [5] => [[1,2,3,4,5]] => 0
[[4,4,4,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[4,4,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[4,5,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[5,5,5,5,5]] => [5] => [[1,2,3,4,5]] => 0
[[1,1,1,1],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,2],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,2],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,4,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,2,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,5,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,4,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,3,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,2],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,4,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,2,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,5,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,4,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,4,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,3,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,5,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,4,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,5,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,2,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,5,5,5],[2]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,4,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,3,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,4,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,3,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,5,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,4,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,5,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,5,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,2],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,2,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,4,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,3,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,2,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,4,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,3,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,4,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,3,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,5,5,5],[3]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,4,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,5,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[2,5,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,3,3],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,3,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,3,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,3,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,3,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,4,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,4,4,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,4,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,4,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,4,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,5,5,5],[4]] => [4,1] => [[1,2,3,4],[5]] => 1
[[3,5,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[4,4,4,4],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[4,4,4,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[4,4,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[4,5,5,5],[5]] => [4,1] => [[1,2,3,4],[5]] => 1
[[1,1,1],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[2,2]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,2],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,3],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[2,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,2],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,3],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,4],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,5],[2,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,3],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,5],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,4,4],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,4,5],[2,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,2,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,3],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,3],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,4],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,5],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,3],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,5],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,5],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,4,4],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,4,5],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,3,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,4,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,4,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,4,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,4,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,2],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,2],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,2],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,3],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,5],[3,3]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,3],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,4],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,5],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,3],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,5],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,5],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,2,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,3],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,3],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,4],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,5],[3,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,3],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,5],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,5],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,4,4],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,4,5],[3,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,3,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,4,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,4,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,4,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[2,4,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,3],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,3],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,5],[4,4]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,3,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,4,4],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,4,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,4,5],[4,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[3,4,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[4,4,4],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[4,4,5],[5,5]] => [3,2] => [[1,2,3],[4,5]] => 2
[[1,1,1],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,1],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,1],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,2],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,2],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,3],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,5],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,2],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,4],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,5],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,5],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,3],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,3],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,4],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,2],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,2],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,3],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,5],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,2],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,4],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,5],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,5],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,3],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,3],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,5],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,3],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,4],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,4],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,5],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,5],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,5],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,5,5],[2],[3]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,4],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,5],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,2,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,5],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,5,5],[2],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,5,5],[2],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,3],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,3],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,4],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,4],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,3,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,5,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,5,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,4,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,5,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,2],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,2],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,3],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,3],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,4],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,2,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,3],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,3],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,4],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,4,4],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,4,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,3,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,4,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,5,5],[3],[4]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,5,5],[3],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,4,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,4,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[2,5,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[3,3,3],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[3,3,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[3,3,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[3,4,4],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[3,4,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[3,5,5],[4],[5]] => [3,1,1] => [[1,2,3],[4],[5]] => 3
[[1,1],[2,2],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,3],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,5],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[3,3],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[3,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[3,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[3,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[4,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,3],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,5],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[2,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[3,3],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[2,5],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[3,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[3,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[2,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[2,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,4],[2,5],[3]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[3,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[2,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[4,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,4],[2,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,2],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,4],[2,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[3,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[3,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[3,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[4,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,4],[3,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,3],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,4],[3,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,4],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,2],[3,3],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,2],[3,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,2],[3,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,2],[3,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,2],[4,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,2],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,3],[3,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,3],[3,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,3],[3,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,3],[4,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,4],[3,5],[4]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,3],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,4],[3,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[2,4],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[3,3],[4,4],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[3,3],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[3,4],[4,5],[5]] => [2,2,1] => [[1,2],[3,4],[5]] => 4
[[1,1],[2],[3],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,1],[2],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,1],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,2],[2],[3],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,2],[2],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,3],[2],[3],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,2],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,3],[2],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,4],[2],[3],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,5],[2],[3],[4]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,5],[2],[3],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,4],[2],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,5],[2],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,3],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,4],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1,5],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[2,2],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[2,3],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[2,4],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[2,5],[3],[4],[5]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 6
[[1],[2],[3],[4],[5]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 10
[[1,1,1,1,1,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,2,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,2,2,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,2,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,2,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,2,2,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,2,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,2,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,2,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,3,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,3,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,3,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,2,2,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,2,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,2,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,2,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,3,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,3,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,3,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,3,3,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,3,3,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,3,3,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,3,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,4,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,2,2,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,2,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,2,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,2,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,3,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,3,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,3,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,2,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,3,3,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,3,3,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,3,3,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,3,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[2,4,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[3,3,3,3,3,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[3,3,3,3,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[3,3,3,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[3,3,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[3,4,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[4,4,4,4,4,4]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,1,1,1,1],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,2],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,2],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,3,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,2,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,2],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,3,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,2,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,3,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,2,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,4,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,3,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,4,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,2],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,3,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,2,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,3,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,2,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,4,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,3,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,4,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,4,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,4,4,4,4],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,3,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,4,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,4,4,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,4,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,2,2],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,2,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,2,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,2,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,2,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,3,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,3,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,3,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,3,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,3,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,4,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,2,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,3,3,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,3,3,3,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,3,3,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,3,3,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,3,3,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,3,4,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,3,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,4,4,4,4],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[2,4,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[3,3,3,3,3],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[3,3,3,3,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[3,3,3,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[3,3,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[3,4,4,4,4],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,1,1,1],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,1],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,1],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,2],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,4],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,2],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,3],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,4],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,2],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,2],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,4],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,2],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,3],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,4],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,4],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,2],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,4,4],[2,2]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,3],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,4],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,4,4],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,2,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,4,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,4,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,3,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,4,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,4,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,2],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,2],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,3],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,4],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,2],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,3],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,4],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,4,4],[2,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,2,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,4,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,3,3],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,4,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,3,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,4,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,4,4],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,4,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,3,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,3,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,3,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,3,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,4,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,4,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,2],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,2],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,2,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,3,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,3,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,3,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,3,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,4,4],[3,3]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,3,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,4,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,2,4,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,3,3,3],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,3,3,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,3,3,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,3,3,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,3,4,4],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[2,3,4,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[3,3,3,3],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[3,3,3,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[3,3,4,4],[4,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,1,1,1],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,1],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,2],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,2],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,3],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,2],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,2],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,3],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,3,3],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,3,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,2,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,3,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,4,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,4,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,3,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,3,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,4,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,2],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,2],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,3],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3,3],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,2,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,4,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,4,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,3,3],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,3,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,3,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,4,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,4,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,4,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,4,4,4],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,4,4,4],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,3,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,3,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,4,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,4,4,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,2,2,2],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,2,2,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,2,2,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,2,3,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,2,3,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,2,4,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,3,3,3],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,3,3,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,3,4,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[2,4,4,4],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,1,1],[2,2,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[2,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[2,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[3,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[2,2,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[2,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,3],[2,2,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[2,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[3,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,3],[2,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,3],[2,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,2],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,3],[3,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,3],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,3],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,2],[2,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,2],[2,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,2],[3,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,3],[2,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,2],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,3],[2,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,2],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,3],[3,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,3],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,3,3],[2,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,3],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,3,3],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,3,3],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,2,2],[3,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,2,2],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,2,2],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,2,3],[3,3,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,2,3],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,2,3],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,3,3],[3,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[2,3,3],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[3,3,3],[4,4,4]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,1,1],[2,2],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,1],[2,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,1],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,1],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,1],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,1],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,2],[2,2],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,2],[2,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,2],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,3],[2,2],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,4],[2,2],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,2],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,4],[2,2],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,2],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,3],[2,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,3],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,4],[2,3],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,2],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,3],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,4],[2,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,4],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,4],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,3],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,3],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,4],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,4],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,2],[2,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,2],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,2],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,2],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,3],[2,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,3],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4],[2,3],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,2],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,3],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4],[2,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,3],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,3],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,3],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,3],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,4],[2,4],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,4],[2,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,3],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,4],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[2,2,2],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[2,2,2],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[2,2,3],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[2,2,3],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[2,2,4],[3,3],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[2,2,4],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[2,3,3],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[2,3,4],[3,4],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,1,1],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,1,2],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,1,3],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,1,4],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,2,2],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,2,3],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,2,4],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,3,3],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,3,4],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,4,4],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,1],[2,2],[3,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,1],[2,2],[4,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,1],[2,3],[3,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,1],[2,3],[4,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,1],[3,3],[4,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,2],[2,3],[3,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,2],[2,3],[4,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,2],[3,3],[4,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[2,2],[3,3],[4,4]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,1],[2,2],[3],[4]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,1],[2,3],[3],[4]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,1],[2,4],[3],[4]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,2],[2,3],[3],[4]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,2],[2,4],[3],[4]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,3],[2,4],[3],[4]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,1,1,1,1,1,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,1,2,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,1,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,2,2,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,2,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,2,2,2,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,2,2,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,2,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,2,2,2,2,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,2,2,2,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,2,2,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,2,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,3,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,2,2,2,2,2,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,2,2,2,2,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,2,2,2,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,2,2,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,2,3,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,3,3,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[2,2,2,2,2,2,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[2,2,2,2,2,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[2,2,2,2,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[2,2,2,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[2,2,3,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[2,3,3,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[3,3,3,3,3,3,3]] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,1,1,1,1,1],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,1,2],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,1,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,1,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,2,2],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,2,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,2,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,2,2,2],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,2,2,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,2,2,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,2,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,2,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,3,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,2,2,2,2],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,2,2,2,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,2,2,2,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,2,2,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,2,2,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,2,3,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,2,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,3,3,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,3,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,2,2,2,2],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,2,2,2,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,2,2,2,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,2,2,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,2,2,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,2,3,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,2,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,3,3,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,2,3,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,3,3,3,3,3],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,3,3,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[2,2,2,2,2,2],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[2,2,2,2,2,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[2,2,2,2,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[2,2,2,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[2,2,3,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[2,3,3,3,3,3],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[[1,1,1,1,1],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1,1],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1,2],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1,3],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1,2],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,2,2],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,2,3],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,2,2],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,2,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,3,3],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,2,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,3,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,3,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,2,2],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,2,3],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,2,2],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,2,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,3,3],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,2,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,3,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,3,3,3],[2,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,2,3,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,3,3,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,3,3,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,2,2,2,2],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,2,2,2,2],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,2,2,2,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,2,2,2,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,2,2,3,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,2,2,3,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,2,3,3,3],[2,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,2,3,3,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[2,2,2,2,2],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[2,2,2,2,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[2,2,2,3,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[2,2,3,3,3],[3,3]] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
[[1,1,1,1,1],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,1,1,2],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,1,1,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,1,2,2],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,1,2,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,1,3,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,2,2,2],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,2,2,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,2,3,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,3,3,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,2,2,2,2],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,2,2,2,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,2,2,3,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,2,3,3,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,3,3,3,3],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
[[1,1,1,1],[2,2,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,1],[2,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,1],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,2],[2,2,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,3],[2,2,2]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,2],[2,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,3],[2,2,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,2],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,3],[2,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,3],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,2,2],[2,2,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,2,2],[2,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,2,3],[2,2,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,2,2],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,2,3],[2,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,2,3],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,2,2,2],[2,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,2,2,2],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,2,2,3],[2,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,2,2,3],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[2,2,2,2],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[2,2,2,3],[3,3,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => 3
[[1,1,1,1],[2,2],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,1,1],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,1,2],[2,2],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,1,2],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,1,3],[2,2],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,1,3],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,2,2],[2,2],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,2,2],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,2,3],[2,2],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,2,3],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,3,3],[2,2],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,3,3],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,2,2,2],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,2,2,3],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,2,3,3],[2,3],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 4
[[1,1,1],[2,2,2],[3]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 5
[[1,1,1],[2,2,3],[3]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 5
[[1,1,1],[2,3,3],[3]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 5
[[1,1,2],[2,2,3],[3]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 5
[[1,1,2],[2,3,3],[3]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 5
[[1,2,2],[2,3,3],[3]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 5
[[1,1,1],[2,2],[3,3]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 6
[[1,1,2],[2,2],[3,3]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 6
[[1,1,3],[2,2],[3,3]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 6
[[1,1,1,1,1,1,1,2]] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[1,1,1,1,1,1,2,2]] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[1,1,1,1,1,2,2,2]] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[1,1,1,1,2,2,2,2]] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[1,1,1,2,2,2,2,2]] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[1,1,2,2,2,2,2,2]] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[1,2,2,2,2,2,2,2]] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[2,2,2,2,2,2,2,2]] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[1,1,1,1,1,1,1],[2]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[1,1,1,1,1,1,2],[2]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[1,1,1,1,1,2,2],[2]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[1,1,1,1,2,2,2],[2]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[1,1,1,2,2,2,2],[2]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[1,1,2,2,2,2,2],[2]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[1,2,2,2,2,2,2],[2]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[1,1,1,1,1,1],[2,2]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 2
[[1,1,1,1,1,2],[2,2]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 2
[[1,1,1,1,2,2],[2,2]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 2
[[1,1,1,2,2,2],[2,2]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 2
[[1,1,2,2,2,2],[2,2]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 2
[[1,1,1,1,1],[2,2,2]] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 3
[[1,1,1,1,2],[2,2,2]] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 3
[[1,1,1,2,2],[2,2,2]] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 3
[[1,1,1,1],[2,2,2,2]] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1]] => [1] => [[1]] => 0
[[1,1,1,1],[2,2,2],[3,3],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,2],[2,2,2],[3,3],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,1],[2,2,3],[3,3],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,2],[2,2,3],[3,3],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,3],[2,2,3],[3,3],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,2],[2,2,3],[3,3],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,3],[2,2,3],[3,3],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,1],[2,2,2],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,2],[2,2,2],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,1],[2,2,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,2],[2,2,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,3],[2,2,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,2],[2,2,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,3],[2,2,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,1],[2,2,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,2],[2,2,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,3],[2,2,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,4],[2,2,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,2],[2,2,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,3],[2,2,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,4],[2,2,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,1],[2,3,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,2],[2,3,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,3],[2,3,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,2],[2,3,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,3],[2,3,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,1],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,2],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,3],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,1,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,2],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,3],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,2,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,3,3],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,1,3,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,2,2,2],[2,3,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,2,2,3],[2,3,3],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,2,2,2],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,2,2,3],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,2,2,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,2,3,3],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[1,2,3,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 10
[[2]] => [1] => [[1]] => 0
[[1,1]] => [2] => [[1,2]] => 0
[[3]] => [1] => [[1]] => 0
[[1,1,1]] => [3] => [[1,2,3]] => 0
[[4]] => [1] => [[1]] => 0
[[1,1,1,1]] => [4] => [[1,2,3,4]] => 0
[[5]] => [1] => [[1]] => 0
[[1,1,1,1,1]] => [5] => [[1,2,3,4,5]] => 0
[[6]] => [1] => [[1]] => 0
[[1,2,3,4,5,6]] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,3,4,5],[6]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,4,6],[5]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,4],[5],[6]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3,5,6],[4]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,3,5],[4,6]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,5],[4],[6]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3,4],[5,6]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3,6],[4],[5]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,3],[4],[5],[6]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,2,4,5,6],[3]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,2,4,5],[3,6]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,4,6],[3,5]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,4],[3,5],[6]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4,5],[3],[6]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,4,6],[3],[5]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,4],[3],[5],[6]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,2,3,6],[4,5]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,3],[4,5],[6]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,5,6],[3],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,2,5],[3,6],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,5],[3],[4],[6]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,2,3],[4,6],[5]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4],[3,6],[5]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,6],[3],[4],[5]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,2],[3],[4],[5],[6]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 10
[[1,3,4,5,6],[2]] => [5,1] => [[1,2,3,4,5],[6]] => 1
[[1,3,4,5],[2,6]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,4,6],[2,5]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,4],[2,5],[6]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,5,6],[2,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,3,5],[2,4,6]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,3,5],[2,4],[6]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,4],[2,5,6]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,3,6],[2,4],[5]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3],[2,4],[5],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,3,4,5],[2],[6]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,4,6],[2],[5]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,4],[2],[5],[6]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,3,5,6],[2],[4]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,3,5],[2,6],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,5],[2],[4],[6]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,3,4],[2,6],[5]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3,6],[2],[4],[5]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,3],[2],[4],[5],[6]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 10
[[1,2,5,6],[3,4]] => [4,2] => [[1,2,3,4],[5,6]] => 2
[[1,2,5],[3,4,6]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,5],[3,4],[6]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2,4],[3,5,6]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,6],[3,4],[5]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2],[3,4],[5],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,4,5,6],[2],[3]] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
[[1,4,5],[2,6],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,4,6],[2,5],[3]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,4],[2,5],[3,6]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,4],[2,5],[3],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,4,5],[2],[3],[6]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,4,6],[2],[3],[5]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,4],[2],[3],[5],[6]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 10
[[1,2,3],[4,5,6]] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2,6],[3,5],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,2],[3,5],[4],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,3,6],[2,5],[4]] => [3,2,1] => [[1,2,3],[4,5],[6]] => 4
[[1,3],[2,5],[4,6]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,3],[2,5],[4],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,2],[3,5],[4,6]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,5,6],[2],[3],[4]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 6
[[1,5],[2,6],[3],[4]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,5],[2],[3],[4],[6]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 10
[[1,2],[3,6],[4],[5]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,3],[2,4],[5,6]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,3],[2,6],[4],[5]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,2],[3,4],[5,6]] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,4],[2,6],[3],[5]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 7
[[1,6],[2],[3],[4],[5]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 10
[[1],[2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 15
[[1,1,1,1,2,2,2],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,2,2],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,1,2,2,3],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,2,3],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,3,3],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,2,2,3],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,2,3,3],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,1,2,2,2],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,2,2],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,1,2,2,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,2,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,3],[3,3,4],[4]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => 5
[[1,1,2,2,2,2,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,2,3],[3,3,4],[4]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => 5
[[1,1,1,1,2,2,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,2,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,4,4],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,4,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,2,2,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,2,4,4],[3,3],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,2,4,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,1,2,3,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,3,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,3,3,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,2,3,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,3,3,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,1,2,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,2,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,3,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,1,2,3,4,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,2,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,3,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,2,3,4,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,3,3,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,1,2,3,3,4,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,2,2,2,2,3,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,2,2,2,3,3,3],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,2,2,2,2,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,2,2,2,3,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,2,2,2,3,4,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,2,2,3,3,3,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
[[1,2,2,3,3,4,4],[3,4],[4]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 4
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searching the database for statistics with the same generating function
Generating function
F(2,2)=2+q
F(2,3)=3+2 q
F(3,2)=3+2 q
F(2,4)=4+3 q
F(3,3)=6+6 q+q3
F(4,2)=4+3 q+q2
F(2,5)=5+4 q
F(3,4)=10+12 q+3 q3
F(4,3)=10+12 q+5 q2+3 q3
F(5,2)=5+4 q+2 q2
F(2,6)=6+5 q
F(3,5)=15+20 q+6 q3
F(4,4)=20+30 q+14 q2+12 q3+q6
F(5,3)=15+20 q+13 q2+6 q3+3 q4
F(6,2)=6+5 q+3 q2+q3
F(2,7)=7+6 q
F(3,6)=21+30 q+10 q3
F(4,5)=35+60 q+30 q2+30 q3+4 q6
F(5,4)=35+60 q+45 q2+30 q3+17 q4+4 q6
F(6,3)=21+30 q+24 q2+19 q3+8 q4+q6
F(7,2)=7+6 q+4 q2+2 q3
F(2,8)=8+7 q
F(3,7)=28+42 q+15 q3
F(4,6)=56+105 q+55 q2+60 q3+10 q6
F(5,5)=70+140 q+115 q2+90 q3+55 q4+20 q6+q10
F(6,4)=56+105 q+99 q2+100 q3+56 q4+19 q6+6 q7
F(7,3)=28+42 q+38 q2+37 q3+15 q4+6 q5+3 q6
F(8,2)=8+7 q+5 q2+3 q3+q4
Description
The cocharge of a standard tableau.
The cocharge of a standard tableau T, denoted cc(T), is defined to be the cocharge of the reading word of the tableau. The cocharge of a permutation w1w2⋯wn can be computed by the following algorithm:
1) Starting from wn, scan the entries right-to-left until finding the entry 1 with a superscript 0.
2) Continue scanning until the 2 is found, and label this with a superscript 1. Then scan until the 3 is found, labeling with a 2, and so on, incrementing the label each time, until the beginning of the word is reached. Then go back to the end and scan again from right to left, and *do not* increment the superscript label for the first number found in the next scan. Then continue scanning and labeling, each time incrementing the superscript only if we have not cycled around the word since the last labeling.
3) The cocharge is defined as the sum of the superscript labels on the letters.
The cocharge of a standard tableau T, denoted cc(T), is defined to be the cocharge of the reading word of the tableau. The cocharge of a permutation w1w2⋯wn can be computed by the following algorithm:
1) Starting from wn, scan the entries right-to-left until finding the entry 1 with a superscript 0.
2) Continue scanning until the 2 is found, and label this with a superscript 1. Then scan until the 3 is found, labeling with a 2, and so on, incrementing the label each time, until the beginning of the word is reached. Then go back to the end and scan again from right to left, and *do not* increment the superscript label for the first number found in the next scan. Then continue scanning and labeling, each time incrementing the superscript only if we have not cycled around the word since the last labeling.
3) The cocharge is defined as the sum of the superscript labels on the letters.
Map
shape
Description
Return the shape of a tableau.
Map
initial tableau
Description
Sends an integer partition to the standard tableau obtained by filling the numbers 1 through n row by row.
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