Identifier
-
Mp00083:
Standard tableaux
—shape⟶
Integer partitions
Mp00044: Integer partitions —conjugate⟶ Integer partitions
Mp00045: Integer partitions —reading tableau⟶ Standard tableaux
St000330: Standard tableaux ⟶ ℤ
Values
[[1]] => [1] => [1] => [[1]] => 0
[[1,2]] => [2] => [1,1] => [[1],[2]] => 1
[[1],[2]] => [1,1] => [2] => [[1,2]] => 0
[[1,2,3]] => [3] => [1,1,1] => [[1],[2],[3]] => 3
[[1,3],[2]] => [2,1] => [2,1] => [[1,3],[2]] => 1
[[1,2],[3]] => [2,1] => [2,1] => [[1,3],[2]] => 1
[[1],[2],[3]] => [1,1,1] => [3] => [[1,2,3]] => 0
[[1,2,3,4]] => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 6
[[1,3,4],[2]] => [3,1] => [2,1,1] => [[1,4],[2],[3]] => 3
[[1,2,4],[3]] => [3,1] => [2,1,1] => [[1,4],[2],[3]] => 3
[[1,2,3],[4]] => [3,1] => [2,1,1] => [[1,4],[2],[3]] => 3
[[1,3],[2,4]] => [2,2] => [2,2] => [[1,2],[3,4]] => 2
[[1,2],[3,4]] => [2,2] => [2,2] => [[1,2],[3,4]] => 2
[[1,4],[2],[3]] => [2,1,1] => [3,1] => [[1,3,4],[2]] => 1
[[1,3],[2],[4]] => [2,1,1] => [3,1] => [[1,3,4],[2]] => 1
[[1,2],[3],[4]] => [2,1,1] => [3,1] => [[1,3,4],[2]] => 1
[[1],[2],[3],[4]] => [1,1,1,1] => [4] => [[1,2,3,4]] => 0
[[1,2,3,4,5]] => [5] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 10
[[1,3,4,5],[2]] => [4,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 6
[[1,2,4,5],[3]] => [4,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 6
[[1,2,3,5],[4]] => [4,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 6
[[1,2,3,4],[5]] => [4,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 6
[[1,3,5],[2,4]] => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 4
[[1,2,5],[3,4]] => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 4
[[1,3,4],[2,5]] => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 4
[[1,2,4],[3,5]] => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 4
[[1,2,3],[4,5]] => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 4
[[1,4,5],[2],[3]] => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
[[1,3,5],[2],[4]] => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
[[1,2,5],[3],[4]] => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
[[1,3,4],[2],[5]] => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
[[1,2,4],[3],[5]] => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
[[1,2,3],[4],[5]] => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
[[1,4],[2,5],[3]] => [2,2,1] => [3,2] => [[1,2,5],[3,4]] => 2
[[1,3],[2,5],[4]] => [2,2,1] => [3,2] => [[1,2,5],[3,4]] => 2
[[1,2],[3,5],[4]] => [2,2,1] => [3,2] => [[1,2,5],[3,4]] => 2
[[1,3],[2,4],[5]] => [2,2,1] => [3,2] => [[1,2,5],[3,4]] => 2
[[1,2],[3,4],[5]] => [2,2,1] => [3,2] => [[1,2,5],[3,4]] => 2
[[1,5],[2],[3],[4]] => [2,1,1,1] => [4,1] => [[1,3,4,5],[2]] => 1
[[1,4],[2],[3],[5]] => [2,1,1,1] => [4,1] => [[1,3,4,5],[2]] => 1
[[1,3],[2],[4],[5]] => [2,1,1,1] => [4,1] => [[1,3,4,5],[2]] => 1
[[1,2],[3],[4],[5]] => [2,1,1,1] => [4,1] => [[1,3,4,5],[2]] => 1
[[1],[2],[3],[4],[5]] => [1,1,1,1,1] => [5] => [[1,2,3,4,5]] => 0
[[1,2,3,4,5,6]] => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 15
[[1,3,4,5,6],[2]] => [5,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 10
[[1,2,4,5,6],[3]] => [5,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 10
[[1,2,3,5,6],[4]] => [5,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 10
[[1,2,3,4,6],[5]] => [5,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 10
[[1,2,3,4,5],[6]] => [5,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 10
[[1,3,5,6],[2,4]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,2,5,6],[3,4]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,3,4,6],[2,5]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,2,4,6],[3,5]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,2,3,6],[4,5]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,3,4,5],[2,6]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,2,4,5],[3,6]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,2,3,5],[4,6]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,2,3,4],[5,6]] => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 7
[[1,4,5,6],[2],[3]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,3,5,6],[2],[4]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,2,5,6],[3],[4]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,3,4,6],[2],[5]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,2,4,6],[3],[5]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,2,3,6],[4],[5]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,3,4,5],[2],[6]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,2,4,5],[3],[6]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,2,3,5],[4],[6]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,2,3,4],[5],[6]] => [4,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 6
[[1,3,5],[2,4,6]] => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,2,5],[3,4,6]] => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,3,4],[2,5,6]] => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,2,4],[3,5,6]] => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,2,3],[4,5,6]] => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 6
[[1,4,6],[2,5],[3]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,3,6],[2,5],[4]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,2,6],[3,5],[4]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,3,6],[2,4],[5]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,2,6],[3,4],[5]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,4,5],[2,6],[3]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,3,5],[2,6],[4]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,2,5],[3,6],[4]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,3,4],[2,6],[5]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,2,4],[3,6],[5]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,2,3],[4,6],[5]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,3,5],[2,4],[6]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,2,5],[3,4],[6]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,3,4],[2,5],[6]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,2,4],[3,5],[6]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,2,3],[4,5],[6]] => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
[[1,5,6],[2],[3],[4]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,4,6],[2],[3],[5]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,3,6],[2],[4],[5]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,2,6],[3],[4],[5]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,4,5],[2],[3],[6]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,3,5],[2],[4],[6]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,2,5],[3],[4],[6]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,3,4],[2],[5],[6]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,2,4],[3],[5],[6]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,2,3],[4],[5],[6]] => [3,1,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
[[1,4],[2,5],[3,6]] => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,3],[2,5],[4,6]] => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 3
>>> Load all 1620 entries. <<<[[1,2],[3,5],[4,6]] => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,3],[2,4],[5,6]] => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,2],[3,4],[5,6]] => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 3
[[1,5],[2,6],[3],[4]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,4],[2,6],[3],[5]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,3],[2,6],[4],[5]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,2],[3,6],[4],[5]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,4],[2,5],[3],[6]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,3],[2,5],[4],[6]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,2],[3,5],[4],[6]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,3],[2,4],[5],[6]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,2],[3,4],[5],[6]] => [2,2,1,1] => [4,2] => [[1,2,5,6],[3,4]] => 2
[[1,6],[2],[3],[4],[5]] => [2,1,1,1,1] => [5,1] => [[1,3,4,5,6],[2]] => 1
[[1,5],[2],[3],[4],[6]] => [2,1,1,1,1] => [5,1] => [[1,3,4,5,6],[2]] => 1
[[1,4],[2],[3],[5],[6]] => [2,1,1,1,1] => [5,1] => [[1,3,4,5,6],[2]] => 1
[[1,3],[2],[4],[5],[6]] => [2,1,1,1,1] => [5,1] => [[1,3,4,5,6],[2]] => 1
[[1,2],[3],[4],[5],[6]] => [2,1,1,1,1] => [5,1] => [[1,3,4,5,6],[2]] => 1
[[1],[2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => [6] => [[1,2,3,4,5,6]] => 0
[[1,2,3,4,5,6,7]] => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 21
[[1,3,4,5,6,7],[2]] => [6,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
[[1,2,4,5,6,7],[3]] => [6,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
[[1,2,3,5,6,7],[4]] => [6,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,6,7],[5]] => [6,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,5,7],[6]] => [6,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,5,6],[7]] => [6,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
[[1,3,5,6,7],[2,4]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,5,6,7],[3,4]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,3,4,6,7],[2,5]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,4,6,7],[3,5]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,3,6,7],[4,5]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,3,4,5,7],[2,6]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,7],[3,6]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,3,5,7],[4,6]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,7],[5,6]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,3,4,5,6],[2,7]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,6],[3,7]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,3,5,6],[4,7]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,6],[5,7]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,5],[6,7]] => [5,2] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 11
[[1,4,5,6,7],[2],[3]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,3,5,6,7],[2],[4]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,5,6,7],[3],[4]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,3,4,6,7],[2],[5]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,4,6,7],[3],[5]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,3,6,7],[4],[5]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,3,4,5,7],[2],[6]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,4,5,7],[3],[6]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,3,5,7],[4],[6]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,3,4,7],[5],[6]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,3,4,5,6],[2],[7]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,4,5,6],[3],[7]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,3,5,6],[4],[7]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,3,4,6],[5],[7]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,2,3,4,5],[6],[7]] => [5,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,3,5,7],[2,4,6]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,5,7],[3,4,6]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,3,4,7],[2,5,6]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,4,7],[3,5,6]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,3,7],[4,5,6]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,3,5,6],[2,4,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,5,6],[3,4,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,3,4,6],[2,5,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,4,6],[3,5,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,3,6],[4,5,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,3,4,5],[2,6,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,4,5],[3,6,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,3,5],[4,6,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,2,3,4],[5,6,7]] => [4,3] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 9
[[1,4,6,7],[2,5],[3]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,6,7],[2,5],[4]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,6,7],[3,5],[4]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,6,7],[2,4],[5]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,6,7],[3,4],[5]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,4,5,7],[2,6],[3]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,5,7],[2,6],[4]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,5,7],[3,6],[4]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,4,7],[2,6],[5]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,4,7],[3,6],[5]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,3,7],[4,6],[5]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,5,7],[2,4],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,5,7],[3,4],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,4,7],[2,5],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,4,7],[3,5],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,3,7],[4,5],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,4,5,6],[2,7],[3]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,5,6],[2,7],[4]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,5,6],[3,7],[4]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,4,6],[2,7],[5]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,4,6],[3,7],[5]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,3,6],[4,7],[5]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,4,5],[2,7],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,4,5],[3,7],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,3,5],[4,7],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,3,4],[5,7],[6]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,5,6],[2,4],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,5,6],[3,4],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,4,6],[2,5],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,4,6],[3,5],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,3,6],[4,5],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,3,4,5],[2,6],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,4,5],[3,6],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,3,5],[4,6],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,2,3,4],[5,6],[7]] => [4,2,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 7
[[1,5,6,7],[2],[3],[4]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,4,6,7],[2],[3],[5]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,3,6,7],[2],[4],[5]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,6,7],[3],[4],[5]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,4,5,7],[2],[3],[6]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,3,5,7],[2],[4],[6]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,5,7],[3],[4],[6]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,3,4,7],[2],[5],[6]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,4,7],[3],[5],[6]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,3,7],[4],[5],[6]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,4,5,6],[2],[3],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,3,5,6],[2],[4],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,5,6],[3],[4],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,3,4,6],[2],[5],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,4,6],[3],[5],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,3,6],[4],[5],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,3,4,5],[2],[6],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,4,5],[3],[6],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,3,5],[4],[6],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,2,3,4],[5],[6],[7]] => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,4,6],[2,5,7],[3]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,3,6],[2,5,7],[4]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,6],[3,5,7],[4]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,3,6],[2,4,7],[5]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,6],[3,4,7],[5]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,4,5],[2,6,7],[3]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,3,5],[2,6,7],[4]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,5],[3,6,7],[4]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,3,4],[2,6,7],[5]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,4],[3,6,7],[5]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,3],[4,6,7],[5]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,3,5],[2,4,7],[6]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,5],[3,4,7],[6]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,3,4],[2,5,7],[6]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,4],[3,5,7],[6]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,3],[4,5,7],[6]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,3,5],[2,4,6],[7]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,5],[3,4,6],[7]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,3,4],[2,5,6],[7]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,4],[3,5,6],[7]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,2,3],[4,5,6],[7]] => [3,3,1] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 6
[[1,4,7],[2,5],[3,6]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,3,7],[2,5],[4,6]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,7],[3,5],[4,6]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,3,7],[2,4],[5,6]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,7],[3,4],[5,6]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,4,6],[2,5],[3,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,3,6],[2,5],[4,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,6],[3,5],[4,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,3,6],[2,4],[5,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,6],[3,4],[5,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,4,5],[2,6],[3,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,3,5],[2,6],[4,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,5],[3,6],[4,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,3,4],[2,6],[5,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,4],[3,6],[5,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,3],[4,6],[5,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,3,5],[2,4],[6,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,5],[3,4],[6,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,3,4],[2,5],[6,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,4],[3,5],[6,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,2,3],[4,5],[6,7]] => [3,2,2] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
[[1,5,7],[2,6],[3],[4]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,4,7],[2,6],[3],[5]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,7],[2,6],[4],[5]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,7],[3,6],[4],[5]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,4,7],[2,5],[3],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,7],[2,5],[4],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,7],[3,5],[4],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,7],[2,4],[5],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,7],[3,4],[5],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,5,6],[2,7],[3],[4]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,4,6],[2,7],[3],[5]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,6],[2,7],[4],[5]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,6],[3,7],[4],[5]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,4,5],[2,7],[3],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,5],[2,7],[4],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,5],[3,7],[4],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,4],[2,7],[5],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,4],[3,7],[5],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,3],[4,7],[5],[6]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,4,6],[2,5],[3],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,6],[2,5],[4],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,6],[3,5],[4],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,6],[2,4],[5],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,6],[3,4],[5],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,4,5],[2,6],[3],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,5],[2,6],[4],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,5],[3,6],[4],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,4],[2,6],[5],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,4],[3,6],[5],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,3],[4,6],[5],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,5],[2,4],[6],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,5],[3,4],[6],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,4],[2,5],[6],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,4],[3,5],[6],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,2,3],[4,5],[6],[7]] => [3,2,1,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
[[1,6,7],[2],[3],[4],[5]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,5,7],[2],[3],[4],[6]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,4,7],[2],[3],[5],[6]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,7],[2],[4],[5],[6]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,2,7],[3],[4],[5],[6]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,5,6],[2],[3],[4],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,4,6],[2],[3],[5],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,6],[2],[4],[5],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,2,6],[3],[4],[5],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,4,5],[2],[3],[6],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,5],[2],[4],[6],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,2,5],[3],[4],[6],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,4],[2],[5],[6],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,2,4],[3],[5],[6],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,2,3],[4],[5],[6],[7]] => [3,1,1,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
[[1,5],[2,6],[3,7],[4]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,4],[2,6],[3,7],[5]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,3],[2,6],[4,7],[5]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,2],[3,6],[4,7],[5]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,4],[2,5],[3,7],[6]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,3],[2,5],[4,7],[6]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,2],[3,5],[4,7],[6]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,3],[2,4],[5,7],[6]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,2],[3,4],[5,7],[6]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,4],[2,5],[3,6],[7]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,3],[2,5],[4,6],[7]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,2],[3,5],[4,6],[7]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,3],[2,4],[5,6],[7]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,2],[3,4],[5,6],[7]] => [2,2,2,1] => [4,3] => [[1,2,3,7],[4,5,6]] => 3
[[1,6],[2,7],[3],[4],[5]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,5],[2,7],[3],[4],[6]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,4],[2,7],[3],[5],[6]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,3],[2,7],[4],[5],[6]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,2],[3,7],[4],[5],[6]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,5],[2,6],[3],[4],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,4],[2,6],[3],[5],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,3],[2,6],[4],[5],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,2],[3,6],[4],[5],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,4],[2,5],[3],[6],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,3],[2,5],[4],[6],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,2],[3,5],[4],[6],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,3],[2,4],[5],[6],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,2],[3,4],[5],[6],[7]] => [2,2,1,1,1] => [5,2] => [[1,2,5,6,7],[3,4]] => 2
[[1,7],[2],[3],[4],[5],[6]] => [2,1,1,1,1,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[[1,6],[2],[3],[4],[5],[7]] => [2,1,1,1,1,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[[1,5],[2],[3],[4],[6],[7]] => [2,1,1,1,1,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[[1,4],[2],[3],[5],[6],[7]] => [2,1,1,1,1,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[[1,3],[2],[4],[5],[6],[7]] => [2,1,1,1,1,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[[1,2],[3],[4],[5],[6],[7]] => [2,1,1,1,1,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[[1],[2],[3],[4],[5],[6],[7]] => [1,1,1,1,1,1,1] => [7] => [[1,2,3,4,5,6,7]] => 0
[[1,2,3,4,5,6,7,8]] => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,3,4,5,6,7,8],[2]] => [7,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,4,5,6,7,8],[3]] => [7,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,5,6,7,8],[4]] => [7,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,6,7,8],[5]] => [7,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,5,7,8],[6]] => [7,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,5,6,8],[7]] => [7,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,5,6,7],[8]] => [7,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
[[1,3,5,6,7,8],[2,4]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,5,6,7,8],[3,4]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,3,4,6,7,8],[2,5]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,6,7,8],[3,5]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,6,7,8],[4,5]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,3,4,5,7,8],[2,6]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,5,7,8],[3,6]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,5,7,8],[4,6]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,4,7,8],[5,6]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,3,4,5,6,8],[2,7]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,5,6,8],[3,7]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,5,6,8],[4,7]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,4,6,8],[5,7]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,4,5,8],[6,7]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,3,4,5,6,7],[2,8]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,5,6,7],[3,8]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,5,6,7],[4,8]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,4,6,7],[5,8]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,4,5,7],[6,8]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,4,5,6],[7,8]] => [6,2] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 16
[[1,4,5,6,7,8],[2],[3]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,3,5,6,7,8],[2],[4]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,5,6,7,8],[3],[4]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,3,4,6,7,8],[2],[5]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,4,6,7,8],[3],[5]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,6,7,8],[4],[5]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,3,4,5,7,8],[2],[6]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,4,5,7,8],[3],[6]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,5,7,8],[4],[6]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,7,8],[5],[6]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,3,4,5,6,8],[2],[7]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,4,5,6,8],[3],[7]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,5,6,8],[4],[7]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,6,8],[5],[7]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,5,8],[6],[7]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,3,4,5,6,7],[2],[8]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,4,5,6,7],[3],[8]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,5,6,7],[4],[8]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,6,7],[5],[8]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,5,7],[6],[8]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,5,6],[7],[8]] => [6,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,3,5,7,8],[2,4,6]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,5,7,8],[3,4,6]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,3,4,7,8],[2,5,6]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,4,7,8],[3,5,6]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,7,8],[4,5,6]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,3,5,6,8],[2,4,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,5,6,8],[3,4,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,3,4,6,8],[2,5,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,4,6,8],[3,5,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,6,8],[4,5,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,3,4,5,8],[2,6,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,4,5,8],[3,6,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,5,8],[4,6,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,8],[5,6,7]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,3,5,6,7],[2,4,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,5,6,7],[3,4,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,3,4,6,7],[2,5,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,4,6,7],[3,5,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,6,7],[4,5,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,3,4,5,7],[2,6,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,4,5,7],[3,6,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,5,7],[4,6,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,7],[5,6,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,3,4,5,6],[2,7,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,4,5,6],[3,7,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,5,6],[4,7,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,6],[5,7,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,5],[6,7,8]] => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 13
[[1,4,6,7,8],[2,5],[3]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,6,7,8],[2,5],[4]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,6,7,8],[3,5],[4]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,6,7,8],[2,4],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,6,7,8],[3,4],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,4,5,7,8],[2,6],[3]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,5,7,8],[2,6],[4]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,5,7,8],[3,6],[4]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,7,8],[2,6],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,7,8],[3,6],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,7,8],[4,6],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,5,7,8],[2,4],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,5,7,8],[3,4],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,7,8],[2,5],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,7,8],[3,5],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,7,8],[4,5],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,4,5,6,8],[2,7],[3]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,5,6,8],[2,7],[4]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,5,6,8],[3,7],[4]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,6,8],[2,7],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,6,8],[3,7],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,6,8],[4,7],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,5,8],[2,7],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,8],[3,7],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,5,8],[4,7],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,8],[5,7],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,5,6,8],[2,4],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,5,6,8],[3,4],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,6,8],[2,5],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,6,8],[3,5],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,6,8],[4,5],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,5,8],[2,6],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,8],[3,6],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,5,8],[4,6],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,8],[5,6],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,4,5,6,7],[2,8],[3]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,5,6,7],[2,8],[4]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,5,6,7],[3,8],[4]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,6,7],[2,8],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,6,7],[3,8],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,6,7],[4,8],[5]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,5,7],[2,8],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,7],[3,8],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,5,7],[4,8],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,7],[5,8],[6]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,5,6],[2,8],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,6],[3,8],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,5,6],[4,8],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,6],[5,8],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,5],[6,8],[7]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,5,6,7],[2,4],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,5,6,7],[3,4],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,6,7],[2,5],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,6,7],[3,5],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,6,7],[4,5],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,5,7],[2,6],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,7],[3,6],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,5,7],[4,6],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,7],[5,6],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,3,4,5,6],[2,7],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,6],[3,7],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,5,6],[4,7],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,6],[5,7],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,5],[6,7],[8]] => [5,2,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 11
[[1,5,6,7,8],[2],[3],[4]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,4,6,7,8],[2],[3],[5]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,6,7,8],[2],[4],[5]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,6,7,8],[3],[4],[5]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,4,5,7,8],[2],[3],[6]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,5,7,8],[2],[4],[6]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,5,7,8],[3],[4],[6]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,4,7,8],[2],[5],[6]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,4,7,8],[3],[5],[6]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,7,8],[4],[5],[6]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,4,5,6,8],[2],[3],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,5,6,8],[2],[4],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,5,6,8],[3],[4],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,4,6,8],[2],[5],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,4,6,8],[3],[5],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,6,8],[4],[5],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,4,5,8],[2],[6],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,4,5,8],[3],[6],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,5,8],[4],[6],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,4,8],[5],[6],[7]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,4,5,6,7],[2],[3],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,5,6,7],[2],[4],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,5,6,7],[3],[4],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,4,6,7],[2],[5],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,4,6,7],[3],[5],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,6,7],[4],[5],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,4,5,7],[2],[6],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,4,5,7],[3],[6],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,5,7],[4],[6],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,4,7],[5],[6],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,4,5,6],[2],[7],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,4,5,6],[3],[7],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,5,6],[4],[7],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,4,6],[5],[7],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,2,3,4,5],[6],[7],[8]] => [5,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,3,5,7],[2,4,6,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,5,7],[3,4,6,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,3,4,7],[2,5,6,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,4,7],[3,5,6,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,3,7],[4,5,6,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,3,5,6],[2,4,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,5,6],[3,4,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,3,4,6],[2,5,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,4,6],[3,5,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,3,6],[4,5,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,3,4,5],[2,6,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,4,5],[3,6,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,3,5],[4,6,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,2,3,4],[5,6,7,8]] => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 12
[[1,4,6,8],[2,5,7],[3]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,6,8],[2,5,7],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,6,8],[3,5,7],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,6,8],[2,4,7],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,6,8],[3,4,7],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,4,5,8],[2,6,7],[3]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,8],[2,6,7],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,8],[3,6,7],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,8],[2,6,7],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,8],[3,6,7],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,8],[4,6,7],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,8],[2,4,7],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,8],[3,4,7],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,8],[2,5,7],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,8],[3,5,7],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,8],[4,5,7],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,8],[2,4,6],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,8],[3,4,6],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,8],[2,5,6],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,8],[3,5,6],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,8],[4,5,6],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,4,6,7],[2,5,8],[3]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,6,7],[2,5,8],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,6,7],[3,5,8],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,6,7],[2,4,8],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,6,7],[3,4,8],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,4,5,7],[2,6,8],[3]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,7],[2,6,8],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,7],[3,6,8],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,7],[2,6,8],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,7],[3,6,8],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,7],[4,6,8],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,7],[2,4,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,7],[3,4,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,7],[2,5,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,7],[3,5,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,7],[4,5,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,4,5,6],[2,7,8],[3]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,6],[2,7,8],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,6],[3,7,8],[4]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,6],[2,7,8],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,6],[3,7,8],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,6],[4,7,8],[5]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,5],[2,7,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,5],[3,7,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,5],[4,7,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,4],[5,7,8],[6]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,6],[2,4,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,6],[3,4,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,6],[2,5,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,6],[3,5,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,6],[4,5,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,5],[2,6,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,5],[3,6,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,5],[4,6,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,4],[5,6,8],[7]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,7],[2,4,6],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,7],[3,4,6],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,7],[2,5,6],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,7],[3,5,6],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,7],[4,5,6],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,5,6],[2,4,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,5,6],[3,4,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,6],[2,5,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,6],[3,5,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,6],[4,5,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,3,4,5],[2,6,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,4,5],[3,6,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,5],[4,6,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,2,3,4],[5,6,7],[8]] => [4,3,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 9
[[1,4,7,8],[2,5],[3,6]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,7,8],[2,5],[4,6]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,7,8],[3,5],[4,6]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,7,8],[2,4],[5,6]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,7,8],[3,4],[5,6]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,4,6,8],[2,5],[3,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,6,8],[2,5],[4,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,6,8],[3,5],[4,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,6,8],[2,4],[5,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,6,8],[3,4],[5,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,4,5,8],[2,6],[3,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,5,8],[2,6],[4,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,5,8],[3,6],[4,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,4,8],[2,6],[5,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,4,8],[3,6],[5,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,8],[4,6],[5,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,5,8],[2,4],[6,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,5,8],[3,4],[6,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,4,8],[2,5],[6,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,4,8],[3,5],[6,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,8],[4,5],[6,7]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,4,6,7],[2,5],[3,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,6,7],[2,5],[4,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,6,7],[3,5],[4,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,6,7],[2,4],[5,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,6,7],[3,4],[5,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,4,5,7],[2,6],[3,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,5,7],[2,6],[4,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,5,7],[3,6],[4,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,4,7],[2,6],[5,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,4,7],[3,6],[5,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,7],[4,6],[5,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,5,7],[2,4],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,5,7],[3,4],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,4,7],[2,5],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,4,7],[3,5],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,7],[4,5],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,4,5,6],[2,7],[3,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,5,6],[2,7],[4,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,5,6],[3,7],[4,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,4,6],[2,7],[5,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,4,6],[3,7],[5,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,6],[4,7],[5,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,4,5],[2,7],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,4,5],[3,7],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,5],[4,7],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,4],[5,7],[6,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,5,6],[2,4],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,5,6],[3,4],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,4,6],[2,5],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,4,6],[3,5],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,6],[4,5],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,3,4,5],[2,6],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,4,5],[3,6],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,5],[4,6],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,2,3,4],[5,6],[7,8]] => [4,2,2] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 8
[[1,5,7,8],[2,6],[3],[4]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,7,8],[2,6],[3],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,7,8],[2,6],[4],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,7,8],[3,6],[4],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,7,8],[2,5],[3],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,7,8],[2,5],[4],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,7,8],[3,5],[4],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,7,8],[2,4],[5],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,7,8],[3,4],[5],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,5,6,8],[2,7],[3],[4]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,6,8],[2,7],[3],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,6,8],[2,7],[4],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,6,8],[3,7],[4],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,5,8],[2,7],[3],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,8],[2,7],[4],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,8],[3,7],[4],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,8],[2,7],[5],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,8],[3,7],[5],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,8],[4,7],[5],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,6,8],[2,5],[3],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,6,8],[2,5],[4],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,6,8],[3,5],[4],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,6,8],[2,4],[5],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,6,8],[3,4],[5],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,5,8],[2,6],[3],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,8],[2,6],[4],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,8],[3,6],[4],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,8],[2,6],[5],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,8],[3,6],[5],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,8],[4,6],[5],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,8],[2,4],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,8],[3,4],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,8],[2,5],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,8],[3,5],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,8],[4,5],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,5,6,7],[2,8],[3],[4]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,6,7],[2,8],[3],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,6,7],[2,8],[4],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,6,7],[3,8],[4],[5]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,5,7],[2,8],[3],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,7],[2,8],[4],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,7],[3,8],[4],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,7],[2,8],[5],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,7],[3,8],[5],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,7],[4,8],[5],[6]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,5,6],[2,8],[3],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,6],[2,8],[4],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,6],[3,8],[4],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,6],[2,8],[5],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,6],[3,8],[5],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,6],[4,8],[5],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,5],[2,8],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,5],[3,8],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,5],[4,8],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,4],[5,8],[6],[7]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,6,7],[2,5],[3],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,6,7],[2,5],[4],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,6,7],[3,5],[4],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,6,7],[2,4],[5],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,6,7],[3,4],[5],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,5,7],[2,6],[3],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,7],[2,6],[4],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,7],[3,6],[4],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,7],[2,6],[5],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,7],[3,6],[5],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,7],[4,6],[5],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,7],[2,4],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,7],[3,4],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,7],[2,5],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,7],[3,5],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,7],[4,5],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,5,6],[2,7],[3],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,6],[2,7],[4],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,6],[3,7],[4],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,6],[2,7],[5],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,6],[3,7],[5],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,6],[4,7],[5],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,5],[2,7],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,5],[3,7],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,5],[4,7],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,4],[5,7],[6],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,5,6],[2,4],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,5,6],[3,4],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,6],[2,5],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,6],[3,5],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,6],[4,5],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,3,4,5],[2,6],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,4,5],[3,6],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,5],[4,6],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,2,3,4],[5,6],[7],[8]] => [4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,6,7,8],[2],[3],[4],[5]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,5,7,8],[2],[3],[4],[6]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,7,8],[2],[3],[5],[6]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,7,8],[2],[4],[5],[6]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,7,8],[3],[4],[5],[6]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,5,6,8],[2],[3],[4],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,6,8],[2],[3],[5],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,6,8],[2],[4],[5],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,6,8],[3],[4],[5],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,5,8],[2],[3],[6],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,5,8],[2],[4],[6],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,5,8],[3],[4],[6],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,4,8],[2],[5],[6],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,4,8],[3],[5],[6],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,3,8],[4],[5],[6],[7]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,5,6,7],[2],[3],[4],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,6,7],[2],[3],[5],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,6,7],[2],[4],[5],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,6,7],[3],[4],[5],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,5,7],[2],[3],[6],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,5,7],[2],[4],[6],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,5,7],[3],[4],[6],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,4,7],[2],[5],[6],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,4,7],[3],[5],[6],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,3,7],[4],[5],[6],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,5,6],[2],[3],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,5,6],[2],[4],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,5,6],[3],[4],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,4,6],[2],[5],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,4,6],[3],[5],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,3,6],[4],[5],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,3,4,5],[2],[6],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,4,5],[3],[6],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,3,5],[4],[6],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,2,3,4],[5],[6],[7],[8]] => [4,1,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,7],[2,5,8],[3,6]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,7],[2,5,8],[4,6]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,7],[3,5,8],[4,6]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,7],[2,4,8],[5,6]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,7],[3,4,8],[5,6]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,4,6],[2,5,8],[3,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,6],[2,5,8],[4,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,6],[3,5,8],[4,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,6],[2,4,8],[5,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,6],[3,4,8],[5,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,4,5],[2,6,8],[3,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,5],[2,6,8],[4,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,5],[3,6,8],[4,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,4],[2,6,8],[5,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,4],[3,6,8],[5,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,3],[4,6,8],[5,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,5],[2,4,8],[6,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,5],[3,4,8],[6,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,4],[2,5,8],[6,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,4],[3,5,8],[6,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,3],[4,5,8],[6,7]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,4,6],[2,5,7],[3,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,6],[2,5,7],[4,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,6],[3,5,7],[4,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,6],[2,4,7],[5,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,6],[3,4,7],[5,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,4,5],[2,6,7],[3,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,5],[2,6,7],[4,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,5],[3,6,7],[4,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,4],[2,6,7],[5,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,4],[3,6,7],[5,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,3],[4,6,7],[5,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,5],[2,4,7],[6,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,5],[3,4,7],[6,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,4],[2,5,7],[6,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,4],[3,5,7],[6,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,3],[4,5,7],[6,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,5],[2,4,6],[7,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,5],[3,4,6],[7,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,3,4],[2,5,6],[7,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,4],[3,5,6],[7,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,2,3],[4,5,6],[7,8]] => [3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 7
[[1,5,7],[2,6,8],[3],[4]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,7],[2,6,8],[3],[5]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,7],[2,6,8],[4],[5]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,7],[3,6,8],[4],[5]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,7],[2,5,8],[3],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,7],[2,5,8],[4],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,7],[3,5,8],[4],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,7],[2,4,8],[5],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,7],[3,4,8],[5],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,5,6],[2,7,8],[3],[4]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,6],[2,7,8],[3],[5]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,6],[2,7,8],[4],[5]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,6],[3,7,8],[4],[5]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,5],[2,7,8],[3],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,5],[2,7,8],[4],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,5],[3,7,8],[4],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,4],[2,7,8],[5],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,4],[3,7,8],[5],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,3],[4,7,8],[5],[6]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,6],[2,5,8],[3],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,6],[2,5,8],[4],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,6],[3,5,8],[4],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,6],[2,4,8],[5],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,6],[3,4,8],[5],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,5],[2,6,8],[3],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,5],[2,6,8],[4],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,5],[3,6,8],[4],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,4],[2,6,8],[5],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,4],[3,6,8],[5],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,3],[4,6,8],[5],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,5],[2,4,8],[6],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,5],[3,4,8],[6],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,4],[2,5,8],[6],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,4],[3,5,8],[6],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,3],[4,5,8],[6],[7]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,6],[2,5,7],[3],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,6],[2,5,7],[4],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,6],[3,5,7],[4],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,6],[2,4,7],[5],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,6],[3,4,7],[5],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,5],[2,6,7],[3],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,5],[2,6,7],[4],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,5],[3,6,7],[4],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,4],[2,6,7],[5],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,4],[3,6,7],[5],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,3],[4,6,7],[5],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,5],[2,4,7],[6],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,5],[3,4,7],[6],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,4],[2,5,7],[6],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,4],[3,5,7],[6],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,3],[4,5,7],[6],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,5],[2,4,6],[7],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,5],[3,4,6],[7],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,3,4],[2,5,6],[7],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,4],[3,5,6],[7],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,2,3],[4,5,6],[7],[8]] => [3,3,1,1] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,5,8],[2,6],[3,7],[4]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,8],[2,6],[3,7],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,8],[2,6],[4,7],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,8],[3,6],[4,7],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,8],[2,5],[3,7],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,8],[2,5],[4,7],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,8],[3,5],[4,7],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,8],[2,4],[5,7],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,8],[3,4],[5,7],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,8],[2,5],[3,6],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,8],[2,5],[4,6],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,8],[3,5],[4,6],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,8],[2,4],[5,6],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,8],[3,4],[5,6],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,5,7],[2,6],[3,8],[4]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,7],[2,6],[3,8],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,7],[2,6],[4,8],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,7],[3,6],[4,8],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,7],[2,5],[3,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,7],[2,5],[4,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,7],[3,5],[4,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,7],[2,4],[5,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,7],[3,4],[5,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,5,6],[2,7],[3,8],[4]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,6],[2,7],[3,8],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,6],[2,7],[4,8],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,6],[3,7],[4,8],[5]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,5],[2,7],[3,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,5],[2,7],[4,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,5],[3,7],[4,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,4],[2,7],[5,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,4],[3,7],[5,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,3],[4,7],[5,8],[6]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,6],[2,5],[3,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,6],[2,5],[4,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,6],[3,5],[4,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,6],[2,4],[5,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,6],[3,4],[5,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,5],[2,6],[3,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,5],[2,6],[4,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,5],[3,6],[4,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,4],[2,6],[5,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,4],[3,6],[5,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,3],[4,6],[5,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,5],[2,4],[6,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,5],[3,4],[6,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,4],[2,5],[6,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,4],[3,5],[6,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,3],[4,5],[6,8],[7]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,7],[2,5],[3,6],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,7],[2,5],[4,6],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,7],[3,5],[4,6],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,7],[2,4],[5,6],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,7],[3,4],[5,6],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,6],[2,5],[3,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,6],[2,5],[4,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,6],[3,5],[4,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,6],[2,4],[5,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,6],[3,4],[5,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,4,5],[2,6],[3,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,5],[2,6],[4,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,5],[3,6],[4,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,4],[2,6],[5,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,4],[3,6],[5,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,3],[4,6],[5,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,5],[2,4],[6,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,5],[3,4],[6,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,3,4],[2,5],[6,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,4],[3,5],[6,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,2,3],[4,5],[6,7],[8]] => [3,2,2,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 5
[[1,6,8],[2,7],[3],[4],[5]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,5,8],[2,7],[3],[4],[6]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,8],[2,7],[3],[5],[6]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,8],[2,7],[4],[5],[6]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,8],[3,7],[4],[5],[6]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,5,8],[2,6],[3],[4],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,8],[2,6],[3],[5],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,8],[2,6],[4],[5],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,8],[3,6],[4],[5],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,8],[2,5],[3],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,8],[2,5],[4],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,8],[3,5],[4],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,8],[2,4],[5],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,8],[3,4],[5],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,6,7],[2,8],[3],[4],[5]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,5,7],[2,8],[3],[4],[6]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,7],[2,8],[3],[5],[6]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,7],[2,8],[4],[5],[6]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,7],[3,8],[4],[5],[6]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,5,6],[2,8],[3],[4],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,6],[2,8],[3],[5],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6],[2,8],[4],[5],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,6],[3,8],[4],[5],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,5],[2,8],[3],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,5],[2,8],[4],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,5],[3,8],[4],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,4],[2,8],[5],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,4],[3,8],[5],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,3],[4,8],[5],[6],[7]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,5,7],[2,6],[3],[4],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,7],[2,6],[3],[5],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,7],[2,6],[4],[5],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,7],[3,6],[4],[5],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,7],[2,5],[3],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,7],[2,5],[4],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,7],[3,5],[4],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,7],[2,4],[5],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,7],[3,4],[5],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,5,6],[2,7],[3],[4],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,6],[2,7],[3],[5],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6],[2,7],[4],[5],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,6],[3,7],[4],[5],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,5],[2,7],[3],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,5],[2,7],[4],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,5],[3,7],[4],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,4],[2,7],[5],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,4],[3,7],[5],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,3],[4,7],[5],[6],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,6],[2,5],[3],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6],[2,5],[4],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,6],[3,5],[4],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6],[2,4],[5],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,6],[3,4],[5],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,4,5],[2,6],[3],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,5],[2,6],[4],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,5],[3,6],[4],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,4],[2,6],[5],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,4],[3,6],[5],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,3],[4,6],[5],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,5],[2,4],[6],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,5],[3,4],[6],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,4],[2,5],[6],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,4],[3,5],[6],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,2,3],[4,5],[6],[7],[8]] => [3,2,1,1,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,7,8],[2],[3],[4],[5],[6]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,6,8],[2],[3],[4],[5],[7]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,5,8],[2],[3],[4],[6],[7]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,4,8],[2],[3],[5],[6],[7]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,8],[2],[4],[5],[6],[7]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,2,8],[3],[4],[5],[6],[7]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,6,7],[2],[3],[4],[5],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,5,7],[2],[3],[4],[6],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,4,7],[2],[3],[5],[6],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,7],[2],[4],[5],[6],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,2,7],[3],[4],[5],[6],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,5,6],[2],[3],[4],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,4,6],[2],[3],[5],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,6],[2],[4],[5],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,2,6],[3],[4],[5],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,4,5],[2],[3],[6],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,5],[2],[4],[6],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,2,5],[3],[4],[6],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,4],[2],[5],[6],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,2,4],[3],[5],[6],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,2,3],[4],[5],[6],[7],[8]] => [3,1,1,1,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,5],[2,6],[3,7],[4,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,4],[2,6],[3,7],[5,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,3],[2,6],[4,7],[5,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,2],[3,6],[4,7],[5,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,4],[2,5],[3,7],[6,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,3],[2,5],[4,7],[6,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,2],[3,5],[4,7],[6,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,3],[2,4],[5,7],[6,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,2],[3,4],[5,7],[6,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,4],[2,5],[3,6],[7,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,3],[2,5],[4,6],[7,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,2],[3,5],[4,6],[7,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,3],[2,4],[5,6],[7,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,2],[3,4],[5,6],[7,8]] => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
[[1,6],[2,7],[3,8],[4],[5]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,5],[2,7],[3,8],[4],[6]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,4],[2,7],[3,8],[5],[6]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,7],[4,8],[5],[6]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,7],[4,8],[5],[6]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,5],[2,6],[3,8],[4],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,4],[2,6],[3,8],[5],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,6],[4,8],[5],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,6],[4,8],[5],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,4],[2,5],[3,8],[6],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,5],[4,8],[6],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,5],[4,8],[6],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,4],[5,8],[6],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,4],[5,8],[6],[7]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,5],[2,6],[3,7],[4],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,4],[2,6],[3,7],[5],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,6],[4,7],[5],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,6],[4,7],[5],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,4],[2,5],[3,7],[6],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,5],[4,7],[6],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,5],[4,7],[6],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,4],[5,7],[6],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,4],[5,7],[6],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,4],[2,5],[3,6],[7],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,5],[4,6],[7],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,5],[4,6],[7],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,3],[2,4],[5,6],[7],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,2],[3,4],[5,6],[7],[8]] => [2,2,2,1,1] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 3
[[1,7],[2,8],[3],[4],[5],[6]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,6],[2,8],[3],[4],[5],[7]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,5],[2,8],[3],[4],[6],[7]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,4],[2,8],[3],[5],[6],[7]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3],[2,8],[4],[5],[6],[7]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,2],[3,8],[4],[5],[6],[7]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,6],[2,7],[3],[4],[5],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,5],[2,7],[3],[4],[6],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,4],[2,7],[3],[5],[6],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3],[2,7],[4],[5],[6],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,2],[3,7],[4],[5],[6],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,5],[2,6],[3],[4],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,4],[2,6],[3],[5],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3],[2,6],[4],[5],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,2],[3,6],[4],[5],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,4],[2,5],[3],[6],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3],[2,5],[4],[6],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,2],[3,5],[4],[6],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3],[2,4],[5],[6],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,2],[3,4],[5],[6],[7],[8]] => [2,2,1,1,1,1] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,8],[2],[3],[4],[5],[6],[7]] => [2,1,1,1,1,1,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,7],[2],[3],[4],[5],[6],[8]] => [2,1,1,1,1,1,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,6],[2],[3],[4],[5],[7],[8]] => [2,1,1,1,1,1,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,5],[2],[3],[4],[6],[7],[8]] => [2,1,1,1,1,1,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,4],[2],[3],[5],[6],[7],[8]] => [2,1,1,1,1,1,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,3],[2],[4],[5],[6],[7],[8]] => [2,1,1,1,1,1,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,2],[3],[4],[5],[6],[7],[8]] => [2,1,1,1,1,1,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[[1],[2],[3],[4],[5],[6],[7],[8]] => [1,1,1,1,1,1,1,1] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[[1,3,5,7,9],[2,4,6,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,5,7,8],[2,4,6,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,5,6,9],[2,4,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,5,6,8],[2,4,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,5,6,7],[2,4,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,7,9],[2,5,6,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,7,8],[2,5,6,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,6,9],[2,5,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,6,8],[2,5,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,6,7],[2,5,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,5,9],[2,6,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,5,8],[2,6,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,5,7],[2,6,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,4,5,6],[2,7,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,5,7,9],[3,4,6,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,5,7,8],[3,4,6,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,5,6,9],[3,4,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,5,6,8],[3,4,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,5,6,7],[3,4,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,7,9],[3,5,6,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,7,8],[3,5,6,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,6,9],[3,5,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,6,8],[3,5,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,6,7],[3,5,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,5,9],[3,6,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,5,8],[3,6,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,5,7],[3,6,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,4,5,6],[3,7,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,7,9],[4,5,6,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,7,8],[4,5,6,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,6,9],[4,5,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,6,8],[4,5,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,6,7],[4,5,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,5,9],[4,6,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,5,8],[4,6,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,5,7],[4,6,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,5,6],[4,7,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,4,9],[5,6,7,8,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,4,8],[5,6,7,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,4,7],[5,6,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,4,6],[5,7,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,2,3,4,5],[6,7,8,9,10]] => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 20
[[1,3,5,7,9,11],[2,4,6,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,7,9,10],[2,4,6,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,7,8,11],[2,4,6,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,7,8,10],[2,4,6,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,7,8,9],[2,4,6,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,9,11],[2,4,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,9,10],[2,4,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,8,11],[2,4,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,8,10],[2,4,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,8,9],[2,4,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,7,11],[2,4,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,7,10],[2,4,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,7,9],[2,4,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,5,6,7,8],[2,4,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,7,9,11],[2,5,6,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,7,9,10],[2,5,6,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,7,8,11],[2,5,6,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,7,8,10],[2,5,6,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,7,8,9],[2,5,6,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,9,11],[2,5,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,9,10],[2,5,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,8,11],[2,5,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,8,10],[2,5,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,8,9],[2,5,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,7,11],[2,5,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,7,10],[2,5,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,7,9],[2,5,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,6,7,8],[2,5,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,9,11],[2,6,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,9,10],[2,6,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,8,11],[2,6,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,8,10],[2,6,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,8,9],[2,6,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,7,11],[2,6,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,7,10],[2,6,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,7,9],[2,6,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,7,8],[2,6,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,6,11],[2,7,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,6,10],[2,7,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,6,9],[2,7,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,6,8],[2,7,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,3,4,5,6,7],[2,8,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,7,9,10],[3,4,6,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,7,8,11],[3,4,6,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,7,8,10],[3,4,6,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,7,8,9],[3,4,6,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,9,11],[3,4,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,9,10],[3,4,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,8,11],[3,4,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,8,10],[3,4,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,8,9],[3,4,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,7,11],[3,4,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,7,10],[3,4,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,7,9],[3,4,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,5,6,7,8],[3,4,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,7,9,11],[3,5,6,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,7,9,10],[3,5,6,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,7,8,11],[3,5,6,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,7,8,10],[3,5,6,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,7,8,9],[3,5,6,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,9,11],[3,5,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,9,10],[3,5,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,8,11],[3,5,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,8,9],[3,5,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,7,11],[3,5,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,7,10],[3,5,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,7,9],[3,5,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,6,7,8],[3,5,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,9,11],[3,6,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,9,10],[3,6,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,8,11],[3,6,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,8,10],[3,6,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,8,9],[3,6,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,7,11],[3,6,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,7,10],[3,6,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,7,9],[3,6,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,7,8],[3,6,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,6,11],[3,7,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,6,10],[3,7,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,6,9],[3,7,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,6,8],[3,7,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,4,5,6,7],[3,8,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,7,8,9],[4,5,6,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,8,9],[4,5,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,7,11],[4,5,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,7,10],[4,5,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,7,9],[4,5,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,6,7,8],[4,5,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,8,9],[4,6,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,7,8],[4,6,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,6,11],[4,7,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,6,8],[4,7,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,5,6,7],[4,8,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,9,11],[5,6,7,8,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,9,10],[5,6,7,8,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,8,11],[5,6,7,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,8,10],[5,6,7,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,8,9],[5,6,7,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,7,11],[5,6,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,7,10],[5,6,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,7,9],[5,6,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,7,8],[5,6,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,6,11],[5,7,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,6,10],[5,7,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,6,9],[5,7,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,6,8],[5,7,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,6,7],[5,8,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,5,11],[6,7,8,9,10,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,5,10],[6,7,8,9,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,5,9],[6,7,8,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,5,8],[6,7,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,5,7],[6,8,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,5,6],[7,8,9,10,11,12]] => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 30
[[1,2,3,4,5,6,7,8,9]] => [9] => [1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,3,4,5,6,7,8],[9]] => [8,1] => [2,1,1,1,1,1,1,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,2,3,4,5,6,7],[8,9]] => [7,2] => [2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,3,4,5,6,7],[8],[9]] => [7,1,1] => [3,1,1,1,1,1,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,5,6],[7,8,9]] => [6,3] => [2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,3,4,5,6],[7,8],[9]] => [6,2,1] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,4,5,6],[7],[8],[9]] => [6,1,1,1] => [4,1,1,1,1,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,5],[6,7,8,9]] => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 16
[[1,2,3,4,5],[6,7,8],[9]] => [5,3,1] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,5],[6,7],[8,9]] => [5,2,2] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 12
[[1,2,3,4,5],[6,7],[8],[9]] => [5,2,1,1] => [4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,5],[6],[7],[8],[9]] => [5,1,1,1,1] => [5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => 10
[[1,2,3,4],[5,6,7,8],[9]] => [4,4,1] => [3,2,2,2] => [[1,2,9],[3,4],[5,6],[7,8]] => 12
[[1,2,3,4],[5,6,7],[8,9]] => [4,3,2] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 10
[[1,2,3,4],[5,6,7],[8],[9]] => [4,3,1,1] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 9
[[1,2,3,4],[5,6],[7,8],[9]] => [4,2,2,1] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 8
[[1,2,3,4],[5,6],[7],[8],[9]] => [4,2,1,1,1] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 7
[[1,2,3,4],[5],[6],[7],[8],[9]] => [4,1,1,1,1,1] => [6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]] => 6
[[1,2,3],[4,5,6],[7,8,9]] => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 9
[[1,2,3],[4,5,6],[7,8],[9]] => [3,3,2,1] => [4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => 7
[[1,2,3],[4,5,6],[7],[8],[9]] => [3,3,1,1,1] => [5,2,2] => [[1,2,7,8,9],[3,4],[5,6]] => 6
[[1,2,3],[4,5],[6,7],[8,9]] => [3,2,2,2] => [4,4,1] => [[1,3,4,5],[2,7,8,9],[6]] => 6
[[1,2,3],[4,5],[6,7],[8],[9]] => [3,2,2,1,1] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 5
[[1,2,3],[4,5],[6],[7],[8],[9]] => [3,2,1,1,1,1] => [6,2,1] => [[1,3,6,7,8,9],[2,5],[4]] => 4
[[1,2,3],[4],[5],[6],[7],[8],[9]] => [3,1,1,1,1,1,1] => [7,1,1] => [[1,4,5,6,7,8,9],[2],[3]] => 3
[[1,2],[3,4],[5,6],[7,8],[9]] => [2,2,2,2,1] => [5,4] => [[1,2,3,4,9],[5,6,7,8]] => 4
[[1,2],[3,4],[5,6],[7],[8],[9]] => [2,2,2,1,1,1] => [6,3] => [[1,2,3,7,8,9],[4,5,6]] => 3
[[1,2],[3,4],[5],[6],[7],[8],[9]] => [2,2,1,1,1,1,1] => [7,2] => [[1,2,5,6,7,8,9],[3,4]] => 2
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [2,1,1,1,1,1,1,1] => [8,1] => [[1,3,4,5,6,7,8,9],[2]] => 1
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [1,1,1,1,1,1,1,1,1] => [9] => [[1,2,3,4,5,6,7,8,9]] => 0
[[1,2,3,4,5,6,7,8,9,10]] => [10] => [1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 45
[[1,2,3,4,5,6,7,8,9],[10]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,3,4,5,6,7,8],[9,10]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,5,6,7,8],[9],[10]] => [8,1,1] => [3,1,1,1,1,1,1,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,2,3,4,5,6,7],[8,9,10]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,4,5,6,7],[8,9],[10]] => [7,2,1] => [3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,3,4,5,6,7],[8],[9],[10]] => [7,1,1,1] => [4,1,1,1,1,1,1] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,5,6],[7,8,9,10]] => [6,4] => [2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => 21
[[1,2,3,4,5,6],[7,8,9],[10]] => [6,3,1] => [3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,3,4,5,6],[7,8],[9,10]] => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 17
[[1,2,3,4,5,6],[7,8],[9],[10]] => [6,2,1,1] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 16
[[1,2,3,4,5,6],[7],[8],[9],[10]] => [6,1,1,1,1] => [5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,5],[6,7,8,9],[10]] => [5,4,1] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 16
[[1,2,3,4,5],[6,7,8],[9,10]] => [5,3,2] => [3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => 14
[[1,2,3,4,5],[6,7,8],[9],[10]] => [5,3,1,1] => [4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,5],[6,7],[8,9],[10]] => [5,2,2,1] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 12
[[1,2,3,4,5],[6,7],[8],[9],[10]] => [5,2,1,1,1] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [5,1,1,1,1,1] => [6,1,1,1,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 10
[[1,2,3,4],[5,6,7,8],[9,10]] => [4,4,2] => [3,3,2,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => 13
[[1,2,3,4],[5,6,7,8],[9],[10]] => [4,4,1,1] => [4,2,2,2] => [[1,2,9,10],[3,4],[5,6],[7,8]] => 12
[[1,2,3,4],[5,6,7],[8,9,10]] => [4,3,3] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 12
[[1,2,3,4],[5,6,7],[8,9],[10]] => [4,3,2,1] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 10
[[1,2,3,4],[5,6,7],[8],[9],[10]] => [4,3,1,1,1] => [5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => 9
[[1,2,3,4],[5,6],[7,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,4],[5,6],[7,8],[9],[10]] => [4,2,2,1,1] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 8
[[1,2,3,4],[5,6],[7],[8],[9],[10]] => [4,2,1,1,1,1] => [6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => 7
[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [4,1,1,1,1,1,1] => [7,1,1,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 6
[[1,2,3],[4,5,6],[7,8,9],[10]] => [3,3,3,1] => [4,3,3] => [[1,2,3,10],[4,5,6],[7,8,9]] => 9
[[1,2,3],[4,5,6],[7,8],[9,10]] => [3,3,2,2] => [4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8]] => 8
[[1,2,3],[4,5,6],[7,8],[9],[10]] => [3,3,2,1,1] => [5,3,2] => [[1,2,5,9,10],[3,4,8],[6,7]] => 7
[[1,2,3],[4,5,6],[7],[8],[9],[10]] => [3,3,1,1,1,1] => [6,2,2] => [[1,2,7,8,9,10],[3,4],[5,6]] => 6
[[1,2,3],[4,5],[6,7],[8,9],[10]] => [3,2,2,2,1] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 6
[[1,2,3],[4,5],[6,7],[8],[9],[10]] => [3,2,2,1,1,1] => [6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => 5
[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [3,2,1,1,1,1,1] => [7,2,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => 4
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [3,1,1,1,1,1,1,1] => [8,1,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => 3
[[1,2],[3,4],[5,6],[7,8],[9,10]] => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 5
[[1,2],[3,4],[5,6],[7,8],[9],[10]] => [2,2,2,2,1,1] => [6,4] => [[1,2,3,4,9,10],[5,6,7,8]] => 4
[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [2,2,2,1,1,1,1] => [7,3] => [[1,2,3,7,8,9,10],[4,5,6]] => 3
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [2,2,1,1,1,1,1,1] => [8,2] => [[1,2,5,6,7,8,9,10],[3,4]] => 2
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [2,1,1,1,1,1,1,1,1] => [9,1] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [1,1,1,1,1,1,1,1,1,1] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => 0
[[1,3,4,5,6,7,8,9],[2]] => [8,1] => [2,1,1,1,1,1,1,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,2,5,6,7,8,9],[3,4]] => [7,2] => [2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,4,5,6,7,8,9],[2],[3]] => [7,1,1] => [3,1,1,1,1,1,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,7,8,9],[4,5,6]] => [6,3] => [2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => 18
[[1,3,6,7,8,9],[2,5],[4]] => [6,2,1] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 16
[[1,5,6,7,8,9],[2],[3],[4]] => [6,1,1,1] => [4,1,1,1,1,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 15
[[1,2,3,4,9],[5,6,7,8]] => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 16
[[1,3,4,8,9],[2,6,7],[5]] => [5,3,1] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 13
[[1,2,7,8,9],[3,4],[5,6]] => [5,2,2] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 12
[[1,4,7,8,9],[2,6],[3],[5]] => [5,2,1,1] => [4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => 11
[[1,6,7,8,9],[2],[3],[4],[5]] => [5,1,1,1,1] => [5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => 10
[[1,3,4,5],[2,7,8,9],[6]] => [4,4,1] => [3,2,2,2] => [[1,2,9],[3,4],[5,6],[7,8]] => 12
[[1,2,5,9],[3,4,8],[6,7]] => [4,3,2] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 10
[[1,4,5,9],[2,7,8],[3],[6]] => [4,3,1,1] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 9
[[1,3,8,9],[2,5],[4,7],[6]] => [4,2,2,1] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 8
[[1,5,8,9],[2,7],[3],[4],[6]] => [4,2,1,1,1] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 7
[[1,7,8,9],[2],[3],[4],[5],[6]] => [4,1,1,1,1,1] => [6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]] => 6
[[1,3,6],[2,5,9],[4,8],[7]] => [3,3,2,1] => [4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => 7
[[1,5,6],[2,8,9],[3],[4],[7]] => [3,3,1,1,1] => [5,2,2] => [[1,2,7,8,9],[3,4],[5,6]] => 6
[[1,2,9],[3,4],[5,6],[7,8]] => [3,2,2,2] => [4,4,1] => [[1,3,4,5],[2,7,8,9],[6]] => 6
[[1,4,9],[2,6],[3,8],[5],[7]] => [3,2,2,1,1] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 5
[[1,6,9],[2,8],[3],[4],[5],[7]] => [3,2,1,1,1,1] => [6,2,1] => [[1,3,6,7,8,9],[2,5],[4]] => 4
[[1,8,9],[2],[3],[4],[5],[6],[7]] => [3,1,1,1,1,1,1] => [7,1,1] => [[1,4,5,6,7,8,9],[2],[3]] => 3
[[1,3],[2,5],[4,7],[6,9],[8]] => [2,2,2,2,1] => [5,4] => [[1,2,3,4,9],[5,6,7,8]] => 4
[[1,5],[2,7],[3,9],[4],[6],[8]] => [2,2,2,1,1,1] => [6,3] => [[1,2,3,7,8,9],[4,5,6]] => 3
[[1,7],[2,9],[3],[4],[5],[6],[8]] => [2,2,1,1,1,1,1] => [7,2] => [[1,2,5,6,7,8,9],[3,4]] => 2
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [2,1,1,1,1,1,1,1] => [8,1] => [[1,3,4,5,6,7,8,9],[2]] => 1
[[1,3,4,5,6,7,8,9,10],[2]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,5,6,7,8,9,10],[3,4]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,4,5,6,7,8,9,10],[2],[3]] => [8,1,1] => [3,1,1,1,1,1,1,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,2,3,7,8,9,10],[4,5,6]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,3,6,7,8,9,10],[2,5],[4]] => [7,2,1] => [3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,5,6,7,8,9,10],[2],[3],[4]] => [7,1,1,1] => [4,1,1,1,1,1,1] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,9,10],[5,6,7,8]] => [6,4] => [2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => 21
[[1,3,4,8,9,10],[2,6,7],[5]] => [6,3,1] => [3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,7,8,9,10],[3,4],[5,6]] => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 17
[[1,4,7,8,9,10],[2,6],[3],[5]] => [6,2,1,1] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 16
[[1,6,7,8,9,10],[2],[3],[4],[5]] => [6,1,1,1,1] => [5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 15
[[1,3,4,5,10],[2,7,8,9],[6]] => [5,4,1] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 16
[[1,2,5,9,10],[3,4,8],[6,7]] => [5,3,2] => [3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => 14
[[1,4,5,9,10],[2,7,8],[3],[6]] => [5,3,1,1] => [4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => 13
[[1,3,8,9,10],[2,5],[4,7],[6]] => [5,2,2,1] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 12
[[1,5,8,9,10],[2,7],[3],[4],[6]] => [5,2,1,1,1] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 11
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [5,1,1,1,1,1] => [6,1,1,1,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 10
[[1,2,5,6],[3,4,9,10],[7,8]] => [4,4,2] => [3,3,2,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => 13
[[1,4,5,6],[2,8,9,10],[3],[7]] => [4,4,1,1] => [4,2,2,2] => [[1,2,9,10],[3,4],[5,6],[7,8]] => 12
[[1,2,3,10],[4,5,6],[7,8,9]] => [4,3,3] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 12
[[1,3,6,10],[2,5,9],[4,8],[7]] => [4,3,2,1] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 10
[[1,5,6,10],[2,8,9],[3],[4],[7]] => [4,3,1,1,1] => [5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => 9
[[1,2,9,10],[3,4],[5,6],[7,8]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,4,9,10],[2,6],[3,8],[5],[7]] => [4,2,2,1,1] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 8
[[1,6,9,10],[2,8],[3],[4],[5],[7]] => [4,2,1,1,1,1] => [6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => 7
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [4,1,1,1,1,1,1] => [7,1,1,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 6
[[1,3,4],[2,6,7],[5,9,10],[8]] => [3,3,3,1] => [4,3,3] => [[1,2,3,10],[4,5,6],[7,8,9]] => 9
[[1,2,7],[3,4,10],[5,6],[8,9]] => [3,3,2,2] => [4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8]] => 8
[[1,4,7],[2,6,10],[3,9],[5],[8]] => [3,3,2,1,1] => [5,3,2] => [[1,2,5,9,10],[3,4,8],[6,7]] => 7
[[1,6,7],[2,9,10],[3],[4],[5],[8]] => [3,3,1,1,1,1] => [6,2,2] => [[1,2,7,8,9,10],[3,4],[5,6]] => 6
[[1,3,10],[2,5],[4,7],[6,9],[8]] => [3,2,2,2,1] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 6
[[1,5,10],[2,7],[3,9],[4],[6],[8]] => [3,2,2,1,1,1] => [6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => 5
[[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [3,2,1,1,1,1,1] => [7,2,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => 4
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [3,1,1,1,1,1,1,1] => [8,1,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => 3
[[1,4],[2,6],[3,8],[5,10],[7],[9]] => [2,2,2,2,1,1] => [6,4] => [[1,2,3,4,9,10],[5,6,7,8]] => 4
[[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [2,2,2,1,1,1,1] => [7,3] => [[1,2,3,7,8,9,10],[4,5,6]] => 3
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [2,2,1,1,1,1,1,1] => [8,2] => [[1,2,5,6,7,8,9,10],[3,4]] => 2
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [2,1,1,1,1,1,1,1,1] => [9,1] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1,2,4],[3,5],[6],[7],[8],[9]] => [3,2,1,1,1,1] => [6,2,1] => [[1,3,6,7,8,9],[2,5],[4]] => 4
[[1,2,5],[3,6],[4,7],[8],[9]] => [3,2,2,1,1] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 5
[[1,2,3,5],[4,6],[7],[8],[9]] => [4,2,1,1,1] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 7
[[1,2,6],[3,7],[4,8],[5,9]] => [3,2,2,2] => [4,4,1] => [[1,3,4,5],[2,7,8,9],[6]] => 6
[[1,2,3,6],[4,7],[5,8],[9]] => [4,2,2,1] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 8
[[1,2,4,6],[3,5,7],[8],[9]] => [4,3,1,1] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 9
[[1,2,3,4,6],[5,7],[8],[9]] => [5,2,1,1] => [4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => 11
[[1,2,4,7],[3,5,8],[6,9]] => [4,3,2] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 10
[[1,2,3,4,7],[5,8],[6,9]] => [5,2,2] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 12
[[1,2,3,5,7],[4,6,8],[9]] => [5,3,1] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,5,7],[6,8],[9]] => [6,2,1] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,6,8],[3,5,7,9]] => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 16
[[1,2,3,4,6,8],[5,7,9]] => [6,3] => [2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,3,4,5,6,8],[7,9]] => [7,2] => [2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,4],[3,5],[6],[7],[8],[9],[10]] => [3,2,1,1,1,1,1] => [7,2,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => 4
[[1,2,5],[3,6],[4,7],[8],[9],[10]] => [3,2,2,1,1,1] => [6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => 5
[[1,2,3,5],[4,6],[7],[8],[9],[10]] => [4,2,1,1,1,1] => [6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => 7
[[1,2,6],[3,7],[4,8],[5,9],[10]] => [3,2,2,2,1] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 6
[[1,2,3,6],[4,7],[5,8],[9],[10]] => [4,2,2,1,1] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 8
[[1,2,4,6],[3,5,7],[8],[9],[10]] => [4,3,1,1,1] => [5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => 9
[[1,2,3,4,6],[5,7],[8],[9],[10]] => [5,2,1,1,1] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 11
[[1,2,3,7],[4,8],[5,9],[6,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,7],[3,5,8],[6,9],[10]] => [4,3,2,1] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 10
[[1,2,3,4,7],[5,8],[6,9],[10]] => [5,2,2,1] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 12
[[1,2,3,5,7],[4,6,8],[9],[10]] => [5,3,1,1] => [4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,5,7],[6,8],[9],[10]] => [6,2,1,1] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 16
[[1,2,5,8],[3,6,9],[4,7,10]] => [4,3,3] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 12
[[1,2,3,5,8],[4,6,9],[7,10]] => [5,3,2] => [3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => 14
[[1,2,3,4,5,8],[6,9],[7,10]] => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 17
[[1,2,4,6,8],[3,5,7,9],[10]] => [5,4,1] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 16
[[1,2,3,4,6,8],[5,7,9],[10]] => [6,3,1] => [3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,3,4,5,6,8],[7,9],[10]] => [7,2,1] => [3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,3,5,7,9],[4,6,8,10]] => [6,4] => [2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => 21
[[1,2,3,4,5,7,9],[6,8,10]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,4,5,6,7,9],[8,10]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,5,6,7,9],[8]] => [8,1] => [2,1,1,1,1,1,1,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,2,3,4,9],[5,6],[7,8]] => [5,2,2] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 12
[[1,2,9],[3],[4],[5],[6],[7],[8]] => [3,1,1,1,1,1,1] => [7,1,1] => [[1,4,5,6,7,8,9],[2],[3]] => 3
[[1,2,3,4,5,6,7,8,10],[9]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,3,4,5,6,10],[7,8,9]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [3,1,1,1,1,1,1,1] => [8,1,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => 3
[[1,2,4,5,6,7,8,9],[3]] => [8,1] => [2,1,1,1,1,1,1,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,2,5,7,9],[3,6,8],[4]] => [5,3,1] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 13
[[1,2,4,5,6,7,8,9,10],[3]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,5,7,9,10],[3,6,8],[4]] => [6,3,1] => [3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,4,6,8,10],[3,5,7,9]] => [6,4] => [2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => 21
[[1,2,4,6,8,9,10],[3,5,7]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,4,6,7,8,10],[3,5,9]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,4,6,7,9,10],[3,5,8]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,4,6,7,8,9,10],[3,5]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,4,5,6,8,10],[3,7,9]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,4,5,6,9,10],[3,7,8]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,4,5,7,8,10],[3,6,9]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,4,5,7,9,10],[3,6,8]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,4,5,7,8,9,10],[3,6]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,4,5,6,7,8,10],[3,9]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,4,5,6,7,9,10],[3,8]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,4,5,6,8,9,10],[3,7]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,6,8,10],[5,7,9]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,4,6,9,10],[5,7,8]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,4,7,8,10],[5,6,9]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,4,7,9,10],[5,6,8]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,4,7,8,9,10],[5,6]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,5,6,8,10],[4,7,9]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,5,6,9,10],[4,7,8]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,5,7,8,10],[4,6,9]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,5,7,9,10],[4,6,8]] => [7,3] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 24
[[1,2,3,5,7,8,9,10],[4,6]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,5,6,7,8,10],[4,9]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,5,6,7,9,10],[4,8]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,5,6,8,9,10],[4,7]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,5,6,7,8,9,10],[4]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,3,4,5,6,8,10],[7,9]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,5,6,9,10],[7,8]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,5,7,8,10],[6,9]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,5,7,9,10],[6,8]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,5,8,9,10],[6,7]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,6,7,8,10],[5,9]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,6,7,9,10],[5,8]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,6,8,9,10],[5,7]] => [8,2] => [2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 29
[[1,2,3,4,6,7,8,9,10],[5]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,3,4,5,6,7,9,10],[8]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,3,4,5,6,8,9,10],[7]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,3,4,5,7,8,9,10],[6]] => [9,1] => [2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
[[1,2,5,6,7,8,9],[3],[4]] => [7,1,1] => [3,1,1,1,1,1,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,6,7,8,9],[3],[4],[5]] => [6,1,1,1] => [4,1,1,1,1,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 15
[[1,2,7,8,9],[3],[4],[5],[6]] => [5,1,1,1,1] => [5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => 10
[[1,2,8,9],[3],[4],[5],[6],[7]] => [4,1,1,1,1,1] => [6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]] => 6
[[1,2,5,6,7,8,9,10],[3],[4]] => [8,1,1] => [3,1,1,1,1,1,1,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,2,6,7,8,9,10],[3],[4],[5]] => [7,1,1,1] => [4,1,1,1,1,1,1] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,7,8,9,10],[3],[4],[5],[6]] => [6,1,1,1,1] => [5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 15
[[1,2,8,9,10],[3],[4],[5],[6],[7]] => [5,1,1,1,1,1] => [6,1,1,1,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 10
[[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [4,1,1,1,1,1,1] => [7,1,1,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 6
[[1,2,3,4,7,8,9],[5,6]] => [7,2] => [2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,4,5,8,9],[3,7],[6]] => [6,2,1] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,5,6,7],[3,9],[8]] => [6,2,1] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 16
[[1,2,5,6,9],[3,8],[4],[7]] => [5,2,1,1] => [4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => 11
[[1,2,3,4,7,8],[5,6],[9]] => [6,2,1] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 16
[[1,2,5,6,7,8],[3],[4],[9]] => [6,1,1,1] => [4,1,1,1,1,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 15
[[1,2,4,5],[3,7],[6,9],[8]] => [4,2,2,1] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 8
[[1,2,6,7],[3,9],[4],[5],[8]] => [4,2,1,1,1] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 7
[[1,2,5,6],[3,8],[4],[7],[9]] => [4,2,1,1,1] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 7
[[1,2,7,8],[3],[4],[5],[6],[9]] => [4,1,1,1,1,1] => [6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]] => 6
[[1,2,4,5,8,9,10],[3,7],[6]] => [7,2,1] => [3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,4,5,6,7],[3,9,10],[8]] => [6,3,1] => [3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,3,4,9,10],[5,6],[7,8]] => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 17
[[1,2,5,6,9,10],[3,8],[4],[7]] => [6,2,1,1] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,5,6,7,8,9],[3],[10]] => [8,1,1] => [3,1,1,1,1,1,1,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 28
[[1,2,3,4,7,8],[5,6],[9,10]] => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 17
[[1,2,5,6,7,8],[3,10],[4],[9]] => [6,2,1,1] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,5,10],[3,7],[6,9],[8]] => [5,2,2,1] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 12
[[1,2,6,7,10],[3,9],[4],[5],[8]] => [5,2,1,1,1] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 11
[[1,2,4,5,8,9],[3,7],[6],[10]] => [6,2,1,1] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 16
[[1,2,6,7,8,9],[3],[4],[5],[10]] => [6,1,1,1,1] => [5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 15
[[1,2,5,6],[3,8],[4,10],[7],[9]] => [4,2,2,1,1] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 8
[[1,2,7,8],[3,10],[4],[5],[6],[9]] => [4,2,1,1,1,1] => [6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => 7
[[1,2,4,5],[3,7],[6,9],[8],[10]] => [4,2,2,1,1] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 8
[[1,2,6,7],[3,9],[4],[5],[8],[10]] => [4,2,1,1,1,1] => [6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => 7
[[1,2,8,9],[3],[4],[5],[6],[7],[10]] => [4,1,1,1,1,1,1] => [7,1,1,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 6
[[1,2,3,5,7,9],[4,6,8]] => [6,3] => [2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,3,4,5,7,9],[6,8]] => [7,2] => [2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,4,5],[3,8],[6,9],[7,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,8],[3,9],[4],[5],[6],[7]] => [3,2,1,1,1,1] => [6,2,1] => [[1,3,6,7,8,9],[2,5],[4]] => 4
[[1,2,7],[3,8],[4,9],[5],[6]] => [3,2,2,1,1] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 5
[[1,2,7,9],[3,8],[4],[5],[6]] => [4,2,1,1,1] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 7
[[1,2,6,9],[3,7],[4,8],[5]] => [4,2,2,1] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 8
[[1,2,6,8],[3,7,9],[4],[5]] => [4,3,1,1] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 9
[[1,2,6,8,9],[3,7],[4],[5]] => [5,2,1,1] => [4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => 11
[[1,2,5,8],[3,6,9],[4,7]] => [4,3,2] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 10
[[1,2,5,8,9],[3,6],[4,7]] => [5,2,2] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 12
[[1,2,5,7,8,9],[3,6],[4]] => [6,2,1] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,6,8,9],[3,5,7]] => [6,3] => [2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,4,6,7,8,9],[3,5]] => [7,2] => [2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,9],[3,10],[4],[5],[6],[7],[8]] => [3,2,1,1,1,1,1] => [7,2,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => 4
[[1,2,8],[3,9],[4,10],[5],[6],[7]] => [3,2,2,1,1,1] => [6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => 5
[[1,2,8,10],[3,9],[4],[5],[6],[7]] => [4,2,1,1,1,1] => [6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => 7
[[1,2,7],[3,8],[4,9],[5,10],[6]] => [3,2,2,2,1] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 6
[[1,2,7,10],[3,8],[4,9],[5],[6]] => [4,2,2,1,1] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 8
[[1,2,7,9],[3,8,10],[4],[5],[6]] => [4,3,1,1,1] => [5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => 9
[[1,2,7,9,10],[3,8],[4],[5],[6]] => [5,2,1,1,1] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 11
[[1,2,6,10],[3,7],[4,8],[5,9]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,6,9],[3,7,10],[4,8],[5]] => [4,3,2,1] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 10
[[1,2,6,9,10],[3,7],[4,8],[5]] => [5,2,2,1] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 12
[[1,2,6,8,10],[3,7,9],[4],[5]] => [5,3,1,1] => [4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => 13
[[1,2,6,8,9,10],[3,7],[4],[5]] => [6,2,1,1] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 16
[[1,2,5,8,10],[3,6,9],[4,7]] => [5,3,2] => [3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => 14
[[1,2,5,8,9,10],[3,6],[4,7]] => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 17
[[1,2,5,7,9],[3,6,8,10],[4]] => [5,4,1] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 16
[[1,2,5,7,8,9,10],[3,6],[4]] => [7,2,1] => [3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 22
[[1,2,3,4],[5,6],[7,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,4],[5,7],[6,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,4],[5,7],[6,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,4],[5,8],[6,9],[7,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,5],[4,6],[7,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,5],[4,6],[7,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,5],[4,7],[6,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,5],[4,7],[6,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,5],[4,8],[6,9],[7,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,6],[4,7],[5,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,6],[4,7],[5,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,6],[4,8],[5,9],[7,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,6],[3,5],[7,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,6],[3,5],[7,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,7],[3,5],[6,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,7],[3,5],[6,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,8],[3,5],[6,9],[7,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,5],[3,6],[7,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,5],[3,6],[7,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,5],[3,7],[6,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,5],[3,7],[6,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,6],[3,7],[5,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,6],[3,7],[5,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,6],[3,8],[5,9],[7,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,4,7],[3,8],[5,9],[6,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,8],[3,6],[4,7],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,9],[3,6],[4,7],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,7],[3,6],[4,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,7],[3,6],[4,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,8],[3,6],[4,9],[7,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,6],[3,7],[4,8],[9,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,6],[3,7],[4,9],[8,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,6],[3,8],[4,9],[7,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,5,7],[3,8],[4,9],[6,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,6,9],[3,7],[4,8],[5,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,6,8],[3,7],[4,9],[5,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,6,7],[3,8],[4,9],[5,10]] => [4,2,2,2] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 9
[[1,2,3,7],[4,8],[5,9],[6]] => [4,2,2,1] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 8
[[1,2,3,5,8],[4,6,9],[7]] => [5,3,1] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 13
[[1,2,3,4,5,8],[6,9],[7]] => [6,2,1] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 16
[[1,2,4,8],[3,5,9],[6,10],[7]] => [4,3,2,1] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 10
[[1,2,3,4,8],[5,9],[6,10],[7]] => [5,2,2,1] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 12
[[1,2,3,6,9],[4,7,10],[5,8]] => [5,3,2] => [3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => 14
[[1,2,4,6,9],[3,5,7,10],[8]] => [5,4,1] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 16
[[1,2,3,4,6,9],[5,7,10],[8]] => [6,3,1] => [3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => 18
[[1,2,3,4,5,6,9],[7,10],[8]] => [7,2,1] => [3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 22
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,0,1 1,3,2,3,0,0,1 1,4,5,6,5,0,4,0,0,0,1 1,5,9,15,16,0,15,9,0,0,5,0,0,0,0,1 1,6,14,29,35,21,41,35,0,14,15,14,0,0,0,6,0,0,0,0,0,1 1,7,20,49,78,70,91,132,56,70,35,64,14,28,0,21,20,0,0,0,0,7,0,0,0,0,0,0,1
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 2\ q + q^{3}$
$F_{4} = 1 + 3\ q + 2\ q^{2} + 3\ q^{3} + q^{6}$
$F_{5} = 1 + 4\ q + 5\ q^{2} + 6\ q^{3} + 5\ q^{4} + 4\ q^{6} + q^{10}$
$F_{6} = 1 + 5\ q + 9\ q^{2} + 15\ q^{3} + 16\ q^{4} + 15\ q^{6} + 9\ q^{7} + 5\ q^{10} + q^{15}$
$F_{7} = 1 + 6\ q + 14\ q^{2} + 29\ q^{3} + 35\ q^{4} + 21\ q^{5} + 41\ q^{6} + 35\ q^{7} + 14\ q^{9} + 15\ q^{10} + 14\ q^{11} + 6\ q^{15} + q^{21}$
$F_{8} = 1 + 7\ q + 20\ q^{2} + 49\ q^{3} + 78\ q^{4} + 70\ q^{5} + 91\ q^{6} + 132\ q^{7} + 56\ q^{8} + 70\ q^{9} + 35\ q^{10} + 64\ q^{11} + 14\ q^{12} + 28\ q^{13} + 21\ q^{15} + 20\ q^{16} + 7\ q^{21} + q^{28}$
Description
The (standard) major index of a standard tableau.
A descent of a standard tableau $T$ is an index $i$ such that $i+1$ appears in a row strictly below the row of $i$. The (standard) major index is the the sum of the descents.
A descent of a standard tableau $T$ is an index $i$ such that $i+1$ appears in a row strictly below the row of $i$. The (standard) major index is the the sum of the descents.
Map
shape
Description
Sends a tableau to its shape.
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
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