- FindStat

Identifier

Mp00311: Plane partitions —to partition⟶ Integer partitions
Mp00042: Integer partitions —initial tableau⟶ Standard tableaux
Mp00084: Standard tableaux —conjugate⟶ Standard tableaux
St000507: Standard tableaux ⟶ ℤ

Values

[[1]] => [1] => [[1]] => [[1]] => 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 1123 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[1],[1],[1],[1],[1],[1],[1],[1],[1]] => [1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2,3,4,5,6,7,8,9]] => 9

[[2],[1],[1],[1],[1],[1],[1],[1]] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[1,3,4,5,6,7,8,9],[2]] => 8

[[2],[2],[1],[1],[1],[1],[1]] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[1,3,5,6,7,8,9],[2,4]] => 7

[[2],[2],[2],[1],[1],[1]] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[1,3,5,7,8,9],[2,4,6]] => 6

[[2],[2],[2],[2],[1]] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[1,3,5,7,9],[2,4,6,8]] => 5

[[1,1],[1],[1],[1],[1],[1],[1],[1]] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[1,3,4,5,6,7,8,9],[2]] => 8

[[1,1],[1,1],[1],[1],[1],[1],[1]] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[1,3,5,6,7,8,9],[2,4]] => 7

[[1,1],[1,1],[1,1],[1],[1],[1]] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[1,3,5,7,8,9],[2,4,6]] => 6

[[1,1],[1,1],[1,1],[1,1],[1]] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[1,3,5,7,9],[2,4,6,8]] => 5

[[3],[1],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,4,5,6,7,8,9],[2],[3]] => 7

[[3],[2],[1],[1],[1],[1]] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[1,4,6,7,8,9],[2,5],[3]] => 6

[[3],[2],[2],[1],[1]] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[1,4,6,8,9],[2,5,7],[3]] => 5

[[3],[2],[2],[2]] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[1,4,6,8],[2,5,7,9],[3]] => 4

[[3],[3],[1],[1],[1]] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[1,4,7,8,9],[2,5],[3,6]] => 5

[[3],[3],[2],[1]] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[1,4,7,9],[2,5,8],[3,6]] => 4

[[3],[3],[3]] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => [[1,4,7],[2,5,8],[3,6,9]] => 3

[[2,1],[1],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,4,5,6,7,8,9],[2],[3]] => 7

[[2,1],[2],[1],[1],[1],[1]] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[1,4,6,7,8,9],[2,5],[3]] => 6

[[2,1],[2],[2],[1],[1]] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[1,4,6,8,9],[2,5,7],[3]] => 5

[[2,1],[2],[2],[2]] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[1,4,6,8],[2,5,7,9],[3]] => 4

[[2,1],[1,1],[1],[1],[1],[1]] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[1,4,6,7,8,9],[2,5],[3]] => 6

[[2,1],[1,1],[1,1],[1],[1]] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[1,4,6,8,9],[2,5,7],[3]] => 5

[[2,1],[1,1],[1,1],[1,1]] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[1,4,6,8],[2,5,7,9],[3]] => 4

[[2,1],[2,1],[1],[1],[1]] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[1,4,7,8,9],[2,5],[3,6]] => 5

[[2,1],[2,1],[2],[1]] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[1,4,7,9],[2,5,8],[3,6]] => 4

[[2,1],[2,1],[1,1],[1]] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[1,4,7,9],[2,5,8],[3,6]] => 4

[[2,1],[2,1],[2,1]] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => [[1,4,7],[2,5,8],[3,6,9]] => 3

[[1,1,1],[1],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,4,5,6,7,8,9],[2],[3]] => 7

[[1,1,1],[1,1],[1],[1],[1],[1]] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[1,4,6,7,8,9],[2,5],[3]] => 6

[[1,1,1],[1,1],[1,1],[1],[1]] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[1,4,6,8,9],[2,5,7],[3]] => 5

[[1,1,1],[1,1],[1,1],[1,1]] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[1,4,6,8],[2,5,7,9],[3]] => 4

[[1,1,1],[1,1,1],[1],[1],[1]] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[1,4,7,8,9],[2,5],[3,6]] => 5

[[1,1,1],[1,1,1],[1,1],[1]] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[1,4,7,9],[2,5,8],[3,6]] => 4

[[1,1,1],[1,1,1],[1,1,1]] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => [[1,4,7],[2,5,8],[3,6,9]] => 3

[[4],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,5,6,7,8,9],[2],[3],[4]] => 6

[[4],[2],[1],[1],[1]] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => 5

[[4],[2],[2],[1]] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => 4

[[4],[3],[1],[1]] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[1,5,8,9],[2,6],[3,7],[4]] => 4

[[4],[3],[2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[4],[4],[1]] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[1,5,9],[2,6],[3,7],[4,8]] => 3

[[3,1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,5,6,7,8,9],[2],[3],[4]] => 6

[[3,1],[2],[1],[1],[1]] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => 5

[[3,1],[2],[2],[1]] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => 4

[[3,1],[1,1],[1],[1],[1]] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => 5

[[3,1],[1,1],[1,1],[1]] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => 4

[[3,1],[3],[1],[1]] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[1,5,8,9],[2,6],[3,7],[4]] => 4

[[3,1],[3],[2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[3,1],[2,1],[1],[1]] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[1,5,8,9],[2,6],[3,7],[4]] => 4

[[3,1],[2,1],[2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[3,1],[2,1],[1,1]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[3,1],[3,1],[1]] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[1,5,9],[2,6],[3,7],[4,8]] => 3

[[2,2],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,5,6,7,8,9],[2],[3],[4]] => 6

[[2,2],[2],[1],[1],[1]] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => 5

[[2,2],[2],[2],[1]] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => 4

[[2,2],[1,1],[1],[1],[1]] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => 5

[[2,2],[1,1],[1,1],[1]] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => 4

[[2,2],[2,1],[1],[1]] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[1,5,8,9],[2,6],[3,7],[4]] => 4

[[2,2],[2,1],[2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[2,2],[2,1],[1,1]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[2,2],[2,2],[1]] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[1,5,9],[2,6],[3,7],[4,8]] => 3

[[2,1,1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,5,6,7,8,9],[2],[3],[4]] => 6

[[2,1,1],[2],[1],[1],[1]] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => 5

[[2,1,1],[2],[2],[1]] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => 4

[[2,1,1],[1,1],[1],[1],[1]] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => 5

[[2,1,1],[1,1],[1,1],[1]] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => 4

[[2,1,1],[2,1],[1],[1]] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[1,5,8,9],[2,6],[3,7],[4]] => 4

[[2,1,1],[2,1],[2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[2,1,1],[2,1],[1,1]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[2,1,1],[1,1,1],[1],[1]] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[1,5,8,9],[2,6],[3,7],[4]] => 4

[[2,1,1],[1,1,1],[1,1]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[2,1,1],[2,1,1],[1]] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[1,5,9],[2,6],[3,7],[4,8]] => 3

[[1,1,1,1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,5,6,7,8,9],[2],[3],[4]] => 6

[[1,1,1,1],[1,1],[1],[1],[1]] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => 5

[[1,1,1,1],[1,1],[1,1],[1]] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => 4

[[1,1,1,1],[1,1,1],[1],[1]] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[1,5,8,9],[2,6],[3,7],[4]] => 4

[[1,1,1,1],[1,1,1],[1,1]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 3

[[1,1,1,1],[1,1,1,1],[1]] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[1,5,9],[2,6],[3,7],[4,8]] => 3

[[5],[1],[1],[1],[1]] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,6,7,8,9],[2],[3],[4],[5]] => 5

[[5],[2],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[5],[2],[2]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[5],[3],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[5],[4]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[4,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,6,7,8,9],[2],[3],[4],[5]] => 5

[[4,1],[2],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[4,1],[2],[2]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[4,1],[1,1],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[4,1],[1,1],[1,1]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[4,1],[3],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[4,1],[2,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[4,1],[4]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[4,1],[3,1]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[3,2],[1],[1],[1],[1]] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,6,7,8,9],[2],[3],[4],[5]] => 5

[[3,2],[2],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[3,2],[2],[2]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[3,2],[1,1],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[3,2],[1,1],[1,1]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[3,2],[3],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[3,2],[2,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[3,2],[3,1]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[3,2],[2,2]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[3,1,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,6,7,8,9],[2],[3],[4],[5]] => 5

[[3,1,1],[2],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[3,1,1],[2],[2]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[3,1,1],[1,1],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[3,1,1],[1,1],[1,1]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[3,1,1],[3],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[3,1,1],[2,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[3,1,1],[1,1,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[3,1,1],[3,1]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[3,1,1],[2,1,1]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[2,2,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,6,7,8,9],[2],[3],[4],[5]] => 5

[[2,2,1],[2],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[2,2,1],[2],[2]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[2,2,1],[1,1],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[2,2,1],[1,1],[1,1]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[2,2,1],[2,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[2,2,1],[1,1,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[2,2,1],[2,2]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[2,2,1],[2,1,1]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[2,1,1,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,6,7,8,9],[2],[3],[4],[5]] => 5

[[2,1,1,1],[2],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[2,1,1,1],[2],[2]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[2,1,1,1],[1,1],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[2,1,1,1],[1,1],[1,1]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[2,1,1,1],[2,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[2,1,1,1],[1,1,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[2,1,1,1],[2,1,1]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[2,1,1,1],[1,1,1,1]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[1,1,1,1,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,6,7,8,9],[2],[3],[4],[5]] => 5

[[1,1,1,1,1],[1,1],[1],[1]] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => 4

[[1,1,1,1,1],[1,1],[1,1]] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => 3

[[1,1,1,1,1],[1,1,1],[1]] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => 3

[[1,1,1,1,1],[1,1,1,1]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[6],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[6],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[6],[3]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[5,1],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[5,1],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[5,1],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[5,1],[3]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[5,1],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[4,2],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[4,2],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[4,2],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[4,2],[3]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[4,2],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[4,1,1],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[4,1,1],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[4,1,1],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[4,1,1],[3]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[4,1,1],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[4,1,1],[1,1,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[3,3],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[3,3],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[3,3],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[3,3],[3]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[3,3],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[3,2,1],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[3,2,1],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[3,2,1],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[3,2,1],[3]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[3,2,1],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[3,2,1],[1,1,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[3,1,1,1],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[3,1,1,1],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[3,1,1,1],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[3,1,1,1],[3]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[3,1,1,1],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[3,1,1,1],[1,1,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[2,2,2],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[2,2,2],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[2,2,2],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[2,2,2],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[2,2,2],[1,1,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[2,2,1,1],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[2,2,1,1],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[2,2,1,1],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[2,2,1,1],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[2,2,1,1],[1,1,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[2,1,1,1,1],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[2,1,1,1,1],[2],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[2,1,1,1,1],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[2,1,1,1,1],[2,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[2,1,1,1,1],[1,1,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[1,1,1,1,1,1],[1],[1],[1]] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 4

[[1,1,1,1,1,1],[1,1],[1]] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => 3

[[1,1,1,1,1,1],[1,1,1]] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[7],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[7],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[6,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[6,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[6,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[5,2],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[5,2],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[5,2],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[5,1,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[5,1,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[5,1,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[4,3],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[4,3],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[4,3],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[4,2,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[4,2,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[4,2,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[4,1,1,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[4,1,1,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[4,1,1,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[3,3,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[3,3,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[3,3,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[3,2,2],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[3,2,2],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[3,2,2],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[3,2,1,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[3,2,1,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[3,2,1,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[3,1,1,1,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[3,1,1,1,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[3,1,1,1,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[2,2,2,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[2,2,2,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[2,2,2,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[2,2,1,1,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[2,2,1,1,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[2,2,1,1,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[2,1,1,1,1,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[2,1,1,1,1,1],[2]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[2,1,1,1,1,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[1,1,1,1,1,1,1],[1],[1]] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 3

[[1,1,1,1,1,1,1],[1,1]] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[8],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[7,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[6,2],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[6,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[5,3],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[5,2,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[5,1,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[4,4],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[4,3,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[4,2,2],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[4,2,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[4,1,1,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[3,3,2],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[3,3,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[3,2,2,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[3,2,1,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[3,1,1,1,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,2,2],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,2,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,1,1,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[2,1,1,1,1,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[1,1,1,1,1,1,1,1],[1]] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[9]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[8,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[7,2]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[7,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[6,3]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[6,2,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[6,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[5,4]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[5,3,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[5,2,2]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[5,2,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[5,1,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[4,4,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[4,3,2]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[4,3,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[4,2,2,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[4,2,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[4,1,1,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[3,3,3]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[3,3,2,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[3,3,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[3,2,2,2]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[3,2,2,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[3,2,1,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[3,1,1,1,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[2,2,2,2,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[2,2,2,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[2,2,1,1,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[2,1,1,1,1,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[1,1,1,1,1,1,1,1,1]] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1

[[1],[1],[1],[1],[1],[1],[1],[1],[1],[1]] => [1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,4,5,6,7,8,9,10]] => 10

[[2],[1],[1],[1],[1],[1],[1],[1],[1]] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,3,4,5,6,7,8,9,10],[2]] => 9

[[2],[2],[1],[1],[1],[1],[1],[1]] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[1,3,5,6,7,8,9,10],[2,4]] => 8

[[2],[2],[2],[1],[1],[1],[1]] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[1,3,5,7,8,9,10],[2,4,6]] => 7

[[2],[2],[2],[2],[1],[1]] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[1,3,5,7,9,10],[2,4,6,8]] => 6

[[2],[2],[2],[2],[2]] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [[1,3,5,7,9],[2,4,6,8,10]] => 5

[[1,1],[1],[1],[1],[1],[1],[1],[1],[1]] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,3,4,5,6,7,8,9,10],[2]] => 9

[[1,1],[1,1],[1],[1],[1],[1],[1],[1]] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[1,3,5,6,7,8,9,10],[2,4]] => 8

[[1,1],[1,1],[1,1],[1],[1],[1],[1]] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[1,3,5,7,8,9,10],[2,4,6]] => 7

[[1,1],[1,1],[1,1],[1,1],[1],[1]] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[1,3,5,7,9,10],[2,4,6,8]] => 6

[[1,1],[1,1],[1,1],[1,1],[1,1]] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [[1,3,5,7,9],[2,4,6,8,10]] => 5

[[3],[1],[1],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,4,5,6,7,8,9,10],[2],[3]] => 8

[[3],[2],[1],[1],[1],[1],[1]] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[1,4,6,7,8,9,10],[2,5],[3]] => 7

[[3],[2],[2],[1],[1],[1]] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[1,4,6,8,9,10],[2,5,7],[3]] => 6

[[3],[2],[2],[2],[1]] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[1,4,6,8,10],[2,5,7,9],[3]] => 5

[[3],[3],[1],[1],[1],[1]] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[1,4,7,8,9,10],[2,5],[3,6]] => 6

[[3],[3],[2],[1],[1]] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[1,4,7,9,10],[2,5,8],[3,6]] => 5

[[3],[3],[2],[2]] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[1,4,7,9],[2,5,8,10],[3,6]] => 4

[[3],[3],[3],[1]] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[1,4,7,10],[2,5,8],[3,6,9]] => 4

[[2,1],[1],[1],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,4,5,6,7,8,9,10],[2],[3]] => 8

[[2,1],[2],[1],[1],[1],[1],[1]] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[1,4,6,7,8,9,10],[2,5],[3]] => 7

[[2,1],[2],[2],[1],[1],[1]] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[1,4,6,8,9,10],[2,5,7],[3]] => 6

[[2,1],[2],[2],[2],[1]] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[1,4,6,8,10],[2,5,7,9],[3]] => 5

[[2,1],[1,1],[1],[1],[1],[1],[1]] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[1,4,6,7,8,9,10],[2,5],[3]] => 7

[[2,1],[1,1],[1,1],[1],[1],[1]] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[1,4,6,8,9,10],[2,5,7],[3]] => 6

[[2,1],[1,1],[1,1],[1,1],[1]] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[1,4,6,8,10],[2,5,7,9],[3]] => 5

[[2,1],[2,1],[1],[1],[1],[1]] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[1,4,7,8,9,10],[2,5],[3,6]] => 6

[[2,1],[2,1],[2],[1],[1]] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[1,4,7,9,10],[2,5,8],[3,6]] => 5

[[2,1],[2,1],[2],[2]] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[1,4,7,9],[2,5,8,10],[3,6]] => 4

[[2,1],[2,1],[1,1],[1],[1]] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[1,4,7,9,10],[2,5,8],[3,6]] => 5

[[2,1],[2,1],[1,1],[1,1]] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[1,4,7,9],[2,5,8,10],[3,6]] => 4

[[2,1],[2,1],[2,1],[1]] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[1,4,7,10],[2,5,8],[3,6,9]] => 4

[[1,1,1],[1],[1],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,4,5,6,7,8,9,10],[2],[3]] => 8

[[1,1,1],[1,1],[1],[1],[1],[1],[1]] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[1,4,6,7,8,9,10],[2,5],[3]] => 7

[[1,1,1],[1,1],[1,1],[1],[1],[1]] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[1,4,6,8,9,10],[2,5,7],[3]] => 6

[[1,1,1],[1,1],[1,1],[1,1],[1]] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[1,4,6,8,10],[2,5,7,9],[3]] => 5

[[1,1,1],[1,1,1],[1],[1],[1],[1]] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[1,4,7,8,9,10],[2,5],[3,6]] => 6

[[1,1,1],[1,1,1],[1,1],[1],[1]] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[1,4,7,9,10],[2,5,8],[3,6]] => 5

[[1,1,1],[1,1,1],[1,1],[1,1]] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[1,4,7,9],[2,5,8,10],[3,6]] => 4

[[1,1,1],[1,1,1],[1,1,1],[1]] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[1,4,7,10],[2,5,8],[3,6,9]] => 4

[[4],[1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 7

[[4],[2],[1],[1],[1],[1]] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => 6

[[4],[2],[2],[1],[1]] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => 5

[[4],[2],[2],[2]] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 4

[[4],[3],[1],[1],[1]] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => 5

[[4],[3],[2],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[4],[3],[3]] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[1,5,8],[2,6,9],[3,7,10],[4]] => 3

[[4],[4],[1],[1]] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => 4

[[4],[4],[2]] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 3

[[3,1],[1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 7

[[3,1],[2],[1],[1],[1],[1]] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => 6

[[3,1],[2],[2],[1],[1]] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => 5

[[3,1],[2],[2],[2]] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 4

[[3,1],[1,1],[1],[1],[1],[1]] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => 6

[[3,1],[1,1],[1,1],[1],[1]] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => 5

[[3,1],[1,1],[1,1],[1,1]] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 4

[[3,1],[3],[1],[1],[1]] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => 5

[[3,1],[3],[2],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[3,1],[3],[3]] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[1,5,8],[2,6,9],[3,7,10],[4]] => 3

[[3,1],[2,1],[1],[1],[1]] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => 5

[[3,1],[2,1],[2],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[3,1],[2,1],[1,1],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[3,1],[2,1],[2,1]] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[1,5,8],[2,6,9],[3,7,10],[4]] => 3

[[3,1],[3,1],[1],[1]] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => 4

[[3,1],[3,1],[2]] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 3

[[3,1],[3,1],[1,1]] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 3

[[2,2],[1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 7

[[2,2],[2],[1],[1],[1],[1]] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => 6

[[2,2],[2],[2],[1],[1]] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => 5

[[2,2],[2],[2],[2]] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 4

[[2,2],[1,1],[1],[1],[1],[1]] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => 6

[[2,2],[1,1],[1,1],[1],[1]] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => 5

[[2,2],[1,1],[1,1],[1,1]] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 4

[[2,2],[2,1],[1],[1],[1]] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => 5

[[2,2],[2,1],[2],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[2,2],[2,1],[1,1],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[2,2],[2,1],[2,1]] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[1,5,8],[2,6,9],[3,7,10],[4]] => 3

[[2,2],[2,2],[1],[1]] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => 4

[[2,2],[2,2],[2]] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 3

[[2,2],[2,2],[1,1]] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 3

[[2,1,1],[1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 7

[[2,1,1],[2],[1],[1],[1],[1]] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => 6

[[2,1,1],[2],[2],[1],[1]] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => 5

[[2,1,1],[2],[2],[2]] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 4

[[2,1,1],[1,1],[1],[1],[1],[1]] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => 6

[[2,1,1],[1,1],[1,1],[1],[1]] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => 5

[[2,1,1],[1,1],[1,1],[1,1]] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 4

[[2,1,1],[2,1],[1],[1],[1]] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => 5

[[2,1,1],[2,1],[2],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[2,1,1],[2,1],[1,1],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[2,1,1],[2,1],[2,1]] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[1,5,8],[2,6,9],[3,7,10],[4]] => 3

[[2,1,1],[1,1,1],[1],[1],[1]] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => 5

[[2,1,1],[1,1,1],[1,1],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[2,1,1],[1,1,1],[1,1,1]] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[1,5,8],[2,6,9],[3,7,10],[4]] => 3

[[2,1,1],[2,1,1],[1],[1]] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => 4

[[2,1,1],[2,1,1],[2]] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 3

[[2,1,1],[2,1,1],[1,1]] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 3

[[1,1,1,1],[1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 7

[[1,1,1,1],[1,1],[1],[1],[1],[1]] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => 6

[[1,1,1,1],[1,1],[1,1],[1],[1]] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => 5

[[1,1,1,1],[1,1],[1,1],[1,1]] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 4

[[1,1,1,1],[1,1,1],[1],[1],[1]] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => 5

[[1,1,1,1],[1,1,1],[1,1],[1]] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => 4

[[1,1,1,1],[1,1,1],[1,1,1]] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[1,5,8],[2,6,9],[3,7,10],[4]] => 3

[[1,1,1,1],[1,1,1,1],[1],[1]] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => 4

[[1,1,1,1],[1,1,1,1],[1,1]] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 3

[[5],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 6

[[5],[2],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[5],[2],[2],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[5],[3],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[5],[3],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[5],[4],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[5],[5]] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 2

[[4,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 6

[[4,1],[2],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[4,1],[2],[2],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[4,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[4,1],[1,1],[1,1],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[4,1],[3],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[4,1],[3],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[4,1],[2,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[4,1],[2,1],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[4,1],[2,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[4,1],[4],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[4,1],[3,1],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[4,1],[4,1]] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 2

[[3,2],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 6

[[3,2],[2],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[3,2],[2],[2],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[3,2],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[3,2],[1,1],[1,1],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[3,2],[3],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[3,2],[3],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[3,2],[2,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[3,2],[2,1],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[3,2],[2,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[3,2],[3,1],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[3,2],[2,2],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[3,2],[3,2]] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 2

[[3,1,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 6

[[3,1,1],[2],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[3,1,1],[2],[2],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[3,1,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[3,1,1],[1,1],[1,1],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[3,1,1],[3],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[3,1,1],[3],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[3,1,1],[2,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[3,1,1],[2,1],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[3,1,1],[2,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[3,1,1],[1,1,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[3,1,1],[1,1,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[3,1,1],[3,1],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[3,1,1],[2,1,1],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[3,1,1],[3,1,1]] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 2

[[2,2,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 6

[[2,2,1],[2],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[2,2,1],[2],[2],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[2,2,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[2,2,1],[1,1],[1,1],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[2,2,1],[2,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[2,2,1],[2,1],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[2,2,1],[2,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[2,2,1],[1,1,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[2,2,1],[1,1,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[2,2,1],[2,2],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[2,2,1],[2,1,1],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[2,2,1],[2,2,1]] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 2

[[2,1,1,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 6

[[2,1,1,1],[2],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[2,1,1,1],[2],[2],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[2,1,1,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[2,1,1,1],[1,1],[1,1],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[2,1,1,1],[2,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[2,1,1,1],[2,1],[2]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[2,1,1,1],[2,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[2,1,1,1],[1,1,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[2,1,1,1],[1,1,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[2,1,1,1],[2,1,1],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[2,1,1,1],[1,1,1,1],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[2,1,1,1],[2,1,1,1]] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 2

[[1,1,1,1,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 6

[[1,1,1,1,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => 5

[[1,1,1,1,1],[1,1],[1,1],[1]] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => 4

[[1,1,1,1,1],[1,1,1],[1],[1]] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => 4

[[1,1,1,1,1],[1,1,1],[1,1]] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => 3

[[1,1,1,1,1],[1,1,1,1],[1]] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => 3

[[1,1,1,1,1],[1,1,1,1,1]] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 2

[[6],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[6],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[6],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[6],[3],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[6],[4]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[5,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[5,1],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[5,1],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[5,1],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[5,1],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[5,1],[3],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[5,1],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[5,1],[4]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[5,1],[3,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[4,2],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[4,2],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[4,2],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[4,2],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[4,2],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[4,2],[3],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[4,2],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[4,2],[4]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[4,2],[3,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[4,2],[2,2]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[4,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[4,1,1],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[4,1,1],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[4,1,1],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[4,1,1],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[4,1,1],[3],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[4,1,1],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[4,1,1],[1,1,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[4,1,1],[4]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[4,1,1],[3,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[4,1,1],[2,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[3,3],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[3,3],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[3,3],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[3,3],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[3,3],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[3,3],[3],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[3,3],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[3,3],[3,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[3,3],[2,2]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[3,2,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[3,2,1],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[3,2,1],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[3,2,1],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[3,2,1],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[3,2,1],[3],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[3,2,1],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[3,2,1],[1,1,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[3,2,1],[3,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[3,2,1],[2,2]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[3,2,1],[2,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[3,1,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[3,1,1,1],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[3,1,1,1],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[3,1,1,1],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[3,1,1,1],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[3,1,1,1],[3],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[3,1,1,1],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[3,1,1,1],[1,1,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[3,1,1,1],[3,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[3,1,1,1],[2,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[3,1,1,1],[1,1,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[2,2,2],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[2,2,2],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[2,2,2],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[2,2,2],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[2,2,2],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[2,2,2],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[2,2,2],[1,1,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[2,2,2],[2,2]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[2,2,2],[2,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[2,2,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[2,2,1,1],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[2,2,1,1],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[2,2,1,1],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[2,2,1,1],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[2,2,1,1],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[2,2,1,1],[1,1,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[2,2,1,1],[2,2]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[2,2,1,1],[2,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[2,2,1,1],[1,1,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[2,1,1,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[2,1,1,1,1],[2],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[2,1,1,1,1],[2],[2]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[2,1,1,1,1],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[2,1,1,1,1],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[2,1,1,1,1],[2,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[2,1,1,1,1],[1,1,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[2,1,1,1,1],[2,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[2,1,1,1,1],[1,1,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[1,1,1,1,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 5

[[1,1,1,1,1,1],[1,1],[1],[1]] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => 4

[[1,1,1,1,1,1],[1,1],[1,1]] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 3

[[1,1,1,1,1,1],[1,1,1],[1]] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => 3

[[1,1,1,1,1,1],[1,1,1,1]] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[7],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[7],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[7],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[6,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[6,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[6,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[6,1],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[6,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[5,2],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[5,2],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[5,2],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[5,2],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[5,2],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[5,1,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[5,1,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[5,1,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[5,1,1],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[5,1,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[5,1,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[4,3],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[4,3],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[4,3],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[4,3],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[4,3],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[4,2,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[4,2,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[4,2,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[4,2,1],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[4,2,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[4,2,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[4,1,1,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[4,1,1,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[4,1,1,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[4,1,1,1],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[4,1,1,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[4,1,1,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,3,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[3,3,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[3,3,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[3,3,1],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,3,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,3,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,2,2],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[3,2,2],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[3,2,2],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[3,2,2],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,2,2],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,2,2],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,2,1,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[3,2,1,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[3,2,1,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[3,2,1,1],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,2,1,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,2,1,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,1,1,1,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[3,1,1,1,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[3,1,1,1,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[3,1,1,1,1],[3]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,1,1,1,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[3,1,1,1,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[2,2,2,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[2,2,2,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[2,2,2,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[2,2,2,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[2,2,2,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[2,2,1,1,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[2,2,1,1,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[2,2,1,1,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[2,2,1,1,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[2,2,1,1,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[2,1,1,1,1,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[2,1,1,1,1,1],[2],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[2,1,1,1,1,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[2,1,1,1,1,1],[2,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[2,1,1,1,1,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[1,1,1,1,1,1,1],[1],[1],[1]] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 4

[[1,1,1,1,1,1,1],[1,1],[1]] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 3

[[1,1,1,1,1,1,1],[1,1,1]] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[8],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[8],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[7,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[7,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[7,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[6,2],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[6,2],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[6,2],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[6,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[6,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[6,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[5,3],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[5,3],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[5,3],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[5,2,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[5,2,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[5,2,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[5,1,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[5,1,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[5,1,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,4],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[4,4],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,4],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,3,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[4,3,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,3,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,2,2],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[4,2,2],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,2,2],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,2,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[4,2,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,2,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,1,1,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[4,1,1,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[4,1,1,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,3,2],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[3,3,2],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,3,2],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,3,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[3,3,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,3,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,2,2,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[3,2,2,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,2,2,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,2,1,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[3,2,1,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,2,1,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,1,1,1,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[3,1,1,1,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[3,1,1,1,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,2,2],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[2,2,2,2],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,2,2],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,2,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[2,2,2,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,2,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,1,1,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[2,2,1,1,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[2,2,1,1,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[2,1,1,1,1,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[2,1,1,1,1,1,1],[2]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[2,1,1,1,1,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[1,1,1,1,1,1,1,1],[1],[1]] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 3

[[1,1,1,1,1,1,1,1],[1,1]] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[9],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[8,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[7,2],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[7,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[6,3],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[6,2,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[6,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[5,4],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[5,3,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[5,2,2],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[5,2,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[5,1,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[4,4,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[4,3,2],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[4,3,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[4,2,2,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[4,2,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[4,1,1,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[3,3,3],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[3,3,2,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[3,3,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[3,2,2,2],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[3,2,2,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[3,2,1,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[3,1,1,1,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[2,2,2,2,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[2,2,2,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[2,2,1,1,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[2,1,1,1,1,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[1,1,1,1,1,1,1,1,1],[1]] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[10]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[9,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[8,2]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[8,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[7,3]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[7,2,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[7,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[6,4]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[6,3,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[6,2,2]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[6,2,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[6,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[5,5]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[5,4,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[5,3,2]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[5,3,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[5,2,2,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[5,2,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[5,1,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,4,2]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,4,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,3,3]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,3,2,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,3,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,2,2,2]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,2,2,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,2,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[4,1,1,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[3,3,3,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[3,3,2,2]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[3,3,2,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[3,3,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[3,2,2,2,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[3,2,2,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[3,2,1,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[3,1,1,1,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[2,2,2,2,2]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[2,2,2,2,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[2,2,2,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[2,2,1,1,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[2,1,1,1,1,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[[1,1,1,1,1,1,1,1,1,1]] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

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Description

The number of ascents of a standard tableau.
Entry $i$ of a standard Young tableau is an ascent if $i+1$ appears to the right or above $i$ in the tableau (with respect to the English notation for tableaux).

Map

to partition

Description

The underlying integer partition of a plane partition.
This is the partition whose parts are the sums of the individual rows of the plane partition.

Map

conjugate

Description

Sends a standard tableau to its conjugate tableau.

Map

initial tableau

Description

Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.