- FindStat

Identifier

Mp00183: Skew partitions —inner shape⟶ Integer partitions
Mp00042: Integer partitions —initial tableau⟶ Standard tableaux
Mp00084: Standard tableaux —conjugate⟶ Standard tableaux
St000745: Standard tableaux ⟶ ℤ

Values

[[1],[]] => [] => [] => [] => 0

[[2],[]] => [] => [] => [] => 0

[[1,1],[]] => [] => [] => [] => 0

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

[[3],[]] => [] => [] => [] => 0

[[2,1],[]] => [] => [] => [] => 0

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

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

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

[[1,1,1],[]] => [] => [] => [] => 0

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

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

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

[[4],[]] => [] => [] => [] => 0

[[3,1],[]] => [] => [] => [] => 0

[[4,1],[1]] => [1] => [[1]] => [[1]] => 1

[[2,2],[]] => [] => [] => [] => 0

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

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

[[2,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

[[1,1,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

[[5],[]] => [] => [] => [] => 0

[[4,1],[]] => [] => [] => [] => 0

[[5,1],[1]] => [1] => [[1]] => [[1]] => 1

[[3,2],[]] => [] => [] => [] => 0

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

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

[[3,1,1],[]] => [] => [] => [] => 0

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

[[4,1,1],[1]] => [1] => [[1]] => [[1]] => 1

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

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

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

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

[[2,2,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

[[2,1,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 1471 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

[[1,1,1,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[6],[]] => [] => [] => [] => 0

[[5,1],[]] => [] => [] => [] => 0

[[6,1],[1]] => [1] => [[1]] => [[1]] => 1

[[4,2],[]] => [] => [] => [] => 0

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

[[6,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,1,1],[]] => [] => [] => [] => 0

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

[[5,1,1],[1]] => [1] => [[1]] => [[1]] => 1

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

[[3,3],[]] => [] => [] => [] => 0

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

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

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

[[3,2,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

[[3,1,1,1],[]] => [] => [] => [] => 0

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

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

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

[[4,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1

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

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

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

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

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

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

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

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

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

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

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

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

[[2,2,2],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

[[2,2,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[2,1,1,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[6,4,3,2,1],[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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,5,3,2,1],[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

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

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

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

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

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

[[5,4,2,2,1],[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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,4,4,2,1],[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

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

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

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

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

[[4,4,4,3],[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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,4,3,3,1],[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

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

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

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

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

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

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

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

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

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

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

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

[[5,4,3,2,2],[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

[[1,1,1,1,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[7],[]] => [] => [] => [] => 0

[[6,1],[]] => [] => [] => [] => 0

[[7,1],[1]] => [1] => [[1]] => [[1]] => 1

[[5,2],[]] => [] => [] => [] => 0

[[6,2],[1]] => [1] => [[1]] => [[1]] => 1

[[7,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[5,1,1],[]] => [] => [] => [] => 0

[[6,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[6,1,1],[1]] => [1] => [[1]] => [[1]] => 1

[[7,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,3],[]] => [] => [] => [] => 0

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

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

[[7,3],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,2,1],[]] => [] => [] => [] => 0

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

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

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

[[6,2,1],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

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

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

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

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

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

[[4,1,1,1],[]] => [] => [] => [] => 0

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

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

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

[[5,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1

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

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

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

[[4,4],[1]] => [1] => [[1]] => [[1]] => 1

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

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

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

[[3,3,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

[[3,2,2],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

[[3,2,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[3,1,1,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

[[4,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1

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

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

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

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

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

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

[[7,4,3,2,1],[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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[2,2,2,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[7,5,3,2],[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]] => 5

[[2,2,1,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[6,5,3,2,1],[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

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

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

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

[[6,4,3,2,1],[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

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

[[6,4,2,2,1],[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

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

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

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

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

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

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

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

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

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

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

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

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

[[7,5,4,1],[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]] => 5

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[6,4,4,2,1],[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

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

[[6,4,3,2,1],[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

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

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

[[5,4,4,3],[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

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

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

[[6,4,4,3],[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]] => 4

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

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

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

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

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

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

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

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

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

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

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

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

[[6,4,3,3,1],[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

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

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

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

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

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

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

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

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

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

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

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

[[6,4,3,2,2],[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

[[2,1,1,1,1,1],[]] => [] => [] => [] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[6,4,3,2,1,1],[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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[7,6,3,1],[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]] => 6

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

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

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

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

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

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

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

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

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

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

[[5,5,3,2,1],[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

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

[[5,5,2,2,1],[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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,5,4,2,1],[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

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

[[5,5,3,2,1],[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

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

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

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

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

[[5,4,4,2,1],[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

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

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

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

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

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

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

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

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

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

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

[[6,5,3,3],[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]] => 5

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

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

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

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

[[5,5,3,3,1],[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

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

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

[[5,4,3,3,1],[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

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

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

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

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

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

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

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

[[5,5,3,2,2],[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

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

[[5,4,3,3,2],[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

[[5,4,3,2,2],[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

[[5,4,2,2,2],[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

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

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

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

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

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

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

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

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

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

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

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

[[5,5,3,2,1,1],[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

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

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

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

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

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

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

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

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

[[5,4,2,2,1,1],[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

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

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

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

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

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

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

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

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

[[6,5,5,1],[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]] => 5

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,5,4,2,1],[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

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

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

[[5,4,4,2,1],[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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,4,4,3,1],[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

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

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

[[5,4,3,3,1],[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

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

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

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

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

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

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

[[5,4,4,2,2],[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

[[5,4,3,2,2],[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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,4,4,2,1,1],[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

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

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

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

[[5,4,3,1,1,1],[4,3,1]] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[1,5,8],[2,6],[3,7],[4]] => 4

[[4,4,4,4],[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

[[5,4,4,4],[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]] => 4

[[3,3,3,3,1],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[1,3,5],[2,4,6]] => 2

[[4,4,4,4,1],[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]] => 3

[[4,4,4,3,1],[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

[[4,4,3,3,1],[3,3,2]] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[1,4,7],[2,5,8],[3,6]] => 3

[[4,3,3,3,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[1,4,6],[2,5,7],[3]] => 3

[[5,4,4,3,1],[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]] => 4

[[5,4,3,3,1],[4,3,2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 4

[[2,2,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[1,3,5,7],[2,4,6]] => 2

[[3,3,3,2,2],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[1,3,5],[2,4,6]] => 2

[[4,4,4,3,2],[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]] => 3

[[3,3,2,2,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[4,4,3,3,2],[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]] => 3

[[4,4,3,2,2],[3,3,2]] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[1,4,7],[2,5,8],[3,6]] => 3

[[3,2,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[4,3,3,3,2],[3,2,2,1]] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[1,4,6,8],[2,5,7],[3]] => 3

[[4,3,3,2,2],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[1,4,6],[2,5,7],[3]] => 3

[[4,3,2,2,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[1,4,6],[2,5],[3]] => 3

[[5,4,3,3,2],[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

[[5,4,3,2,2],[4,3,2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 4

[[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[3,3,3,3,2,1],[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]] => 2

[[3,3,3,3,1,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[1,3,5,7],[2,4,6]] => 2

[[3,3,3,2,1,1],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[1,3,5],[2,4,6]] => 2

[[4,4,4,3,1,1],[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]] => 3

[[3,3,2,2,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[4,4,3,3,2,1],[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]] => 3

[[4,4,3,3,1,1],[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]] => 3

[[4,4,3,2,1,1],[3,3,2]] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[1,4,7],[2,5,8],[3,6]] => 3

[[3,2,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[4,3,3,3,2,1],[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]] => 3

[[4,3,3,3,1,1],[3,2,2,1]] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[1,4,6,8],[2,5,7],[3]] => 3

[[4,3,3,2,1,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[1,4,6],[2,5,7],[3]] => 3

[[4,3,2,2,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[1,4,6],[2,5],[3]] => 3

[[5,4,3,3,1,1],[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

[[5,4,3,2,1,1],[4,3,2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 4

[[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[1,3,5,7],[2,4,6,8]] => 2

[[4,4,3,3,3],[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]] => 3

[[4,3,3,3,3],[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]] => 3

[[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,2,3,4]] => 1

[[3,3,3,3,3,1],[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]] => 2

[[3,3,3,3,2,1],[2,2,2,2]] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[1,3,5,7],[2,4,6,8]] => 2

[[3,3,3,2,2,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[1,3,5,7],[2,4,6]] => 2

[[3,3,2,2,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[1,3,5,6],[2,4]] => 2

[[4,4,3,3,2,1],[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]] => 3

[[4,4,3,2,2,1],[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]] => 3

[[3,2,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[1,3,4,5],[2]] => 2

[[4,3,3,3,3,1],[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]] => 3

[[4,3,3,3,2,1],[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]] => 3

[[4,3,3,2,2,1],[3,2,2,1]] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[1,4,6,8],[2,5,7],[3]] => 3

[[4,3,2,2,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[1,4,6,7],[2,5],[3]] => 3

[[5,4,3,2,2,1],[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

[[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [[1,2,3,4,5]] => 1

[[3,3,3,3,3,2],[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]] => 2

[[3,3,3,3,2,2],[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]] => 2

[[3,3,3,2,2,2],[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]] => 2

[[3,3,2,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[1,3,5,6,7],[2,4]] => 2

[[4,4,3,2,2,2],[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]] => 3

[[3,2,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[1,3,4,5,6],[2]] => 2

[[4,3,3,3,2,2],[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]] => 3

[[4,3,3,2,2,2],[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]] => 3

[[4,3,2,2,2,2],[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]] => 3

[[1,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[2,2,2,2,2,2,1],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => [[1,2,3,4,5,6]] => 1

[[2,2,2,2,2,1,1],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [[1,2,3,4,5]] => 1

[[2,2,2,2,1,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,2,3,4]] => 1

[[3,3,3,3,2,2,1],[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]] => 2

[[3,3,3,3,2,1,1],[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]] => 2

[[2,2,2,1,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[3,3,3,2,2,2,1],[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]] => 2

[[3,3,3,2,2,1,1],[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]] => 2

[[3,3,3,2,1,1,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[1,3,5,7],[2,4,6]] => 2

[[2,2,1,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,3,2,2,2,2,1],[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]] => 2

[[3,3,2,2,2,1,1],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[1,3,5,6,7],[2,4]] => 2

[[3,3,2,2,1,1,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[1,3,5,6],[2,4]] => 2

[[3,3,2,1,1,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[4,4,3,2,2,1,1],[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]] => 3

[[4,4,3,2,1,1,1],[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]] => 3

[[2,1,1,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1

[[3,2,2,2,2,2,1],[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]] => 2

[[3,2,2,2,2,1,1],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[1,3,4,5,6],[2]] => 2

[[3,2,2,2,1,1,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[1,3,4,5],[2]] => 2

[[4,3,3,3,2,1,1],[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]] => 3

[[3,2,2,1,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[4,3,3,2,2,2,1],[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]] => 3

[[4,3,3,2,2,1,1],[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]] => 3

[[4,3,3,2,1,1,1],[3,2,2,1]] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[1,4,6,8],[2,5,7],[3]] => 3

[[3,2,1,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,3,2,2,2,2,1],[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]] => 3

[[4,3,2,2,2,1,1],[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]] => 3

[[4,3,2,2,1,1,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[1,4,6,7],[2,5],[3]] => 3

[[4,3,2,1,1,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[1,4,6],[2,5],[3]] => 3

[[5,4,3,2,1,1,1],[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

[[8],[]] => [] => [] => [] => 0

[[7,1],[]] => [] => [] => [] => 0

[[6,2],[]] => [] => [] => [] => 0

[[6,1,1],[]] => [] => [] => [] => 0

[[5,3],[]] => [] => [] => [] => 0

[[5,2,1],[]] => [] => [] => [] => 0

[[5,1,1,1],[]] => [] => [] => [] => 0

[[4,4],[]] => [] => [] => [] => 0

[[4,3,1],[]] => [] => [] => [] => 0

[[4,2,2],[]] => [] => [] => [] => 0

[[4,2,1,1],[]] => [] => [] => [] => 0

[[4,1,1,1,1],[]] => [] => [] => [] => 0

[[3,3,2],[]] => [] => [] => [] => 0

[[3,3,1,1],[]] => [] => [] => [] => 0

[[3,2,2,1],[]] => [] => [] => [] => 0

[[3,2,1,1,1],[]] => [] => [] => [] => 0

[[3,1,1,1,1,1],[]] => [] => [] => [] => 0

[[2,2,2,2],[]] => [] => [] => [] => 0

[[2,2,2,1,1],[]] => [] => [] => [] => 0

[[2,2,1,1,1,1],[]] => [] => [] => [] => 0

[[2,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[1,1,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[9],[]] => [] => [] => [] => 0

[[8,1],[]] => [] => [] => [] => 0

[[7,2],[]] => [] => [] => [] => 0

[[7,1,1],[]] => [] => [] => [] => 0

[[6,3],[]] => [] => [] => [] => 0

[[6,2,1],[]] => [] => [] => [] => 0

[[6,1,1,1],[]] => [] => [] => [] => 0

[[5,4],[]] => [] => [] => [] => 0

[[5,3,1],[]] => [] => [] => [] => 0

[[5,2,2],[]] => [] => [] => [] => 0

[[5,2,1,1],[]] => [] => [] => [] => 0

[[5,1,1,1,1],[]] => [] => [] => [] => 0

[[4,4,1],[]] => [] => [] => [] => 0

[[4,3,2],[]] => [] => [] => [] => 0

[[4,3,1,1],[]] => [] => [] => [] => 0

[[4,2,2,1],[]] => [] => [] => [] => 0

[[4,2,1,1,1],[]] => [] => [] => [] => 0

[[4,1,1,1,1,1],[]] => [] => [] => [] => 0

[[3,3,3],[]] => [] => [] => [] => 0

[[3,3,2,1],[]] => [] => [] => [] => 0

[[3,3,1,1,1],[]] => [] => [] => [] => 0

[[3,2,2,2],[]] => [] => [] => [] => 0

[[3,2,2,1,1],[]] => [] => [] => [] => 0

[[3,2,1,1,1,1],[]] => [] => [] => [] => 0

[[3,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[2,2,2,2,1],[]] => [] => [] => [] => 0

[[2,2,2,1,1,1],[]] => [] => [] => [] => 0

[[2,2,1,1,1,1,1],[]] => [] => [] => [] => 0

[[2,1,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[1,1,1,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[10],[]] => [] => [] => [] => 0

[[9,1],[]] => [] => [] => [] => 0

[[8,2],[]] => [] => [] => [] => 0

[[8,1,1],[]] => [] => [] => [] => 0

[[7,3],[]] => [] => [] => [] => 0

[[7,2,1],[]] => [] => [] => [] => 0

[[7,1,1,1],[]] => [] => [] => [] => 0

[[6,4],[]] => [] => [] => [] => 0

[[6,3,1],[]] => [] => [] => [] => 0

[[6,2,2],[]] => [] => [] => [] => 0

[[6,2,1,1],[]] => [] => [] => [] => 0

[[6,1,1,1,1],[]] => [] => [] => [] => 0

[[5,5],[]] => [] => [] => [] => 0

[[5,4,1],[]] => [] => [] => [] => 0

[[5,3,2],[]] => [] => [] => [] => 0

[[5,3,1,1],[]] => [] => [] => [] => 0

[[5,2,2,1],[]] => [] => [] => [] => 0

[[5,2,1,1,1],[]] => [] => [] => [] => 0

[[5,1,1,1,1,1],[]] => [] => [] => [] => 0

[[4,4,2],[]] => [] => [] => [] => 0

[[4,4,1,1],[]] => [] => [] => [] => 0

[[4,3,3],[]] => [] => [] => [] => 0

[[4,3,2,1],[]] => [] => [] => [] => 0

[[4,3,1,1,1],[]] => [] => [] => [] => 0

[[4,2,2,2],[]] => [] => [] => [] => 0

[[4,2,2,1,1],[]] => [] => [] => [] => 0

[[4,2,1,1,1,1],[]] => [] => [] => [] => 0

[[4,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[3,3,3,1],[]] => [] => [] => [] => 0

[[3,3,2,2],[]] => [] => [] => [] => 0

[[3,3,2,1,1],[]] => [] => [] => [] => 0

[[3,3,1,1,1,1],[]] => [] => [] => [] => 0

[[3,2,2,2,1],[]] => [] => [] => [] => 0

[[3,2,2,1,1,1],[]] => [] => [] => [] => 0

[[3,2,1,1,1,1,1],[]] => [] => [] => [] => 0

[[3,1,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[2,2,2,2,2],[]] => [] => [] => [] => 0

[[2,2,2,2,1,1],[]] => [] => [] => [] => 0

[[2,2,2,1,1,1,1],[]] => [] => [] => [] => 0

[[2,2,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[2,1,1,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[1,1,1,1,1,1,1,1,1,1],[]] => [] => [] => [] => 0

[[6,5],[]] => [] => [] => [] => 0

[[5,5,1],[]] => [] => [] => [] => 0

[[5,4,2],[]] => [] => [] => [] => 0

[[5,3,3],[]] => [] => [] => [] => 0

[[4,4,3],[]] => [] => [] => [] => 0

[[4,4,2,1],[]] => [] => [] => [] => 0

[[4,3,3,1],[]] => [] => [] => [] => 0

[[4,3,2,2],[]] => [] => [] => [] => 0

[[3,3,3,2],[]] => [] => [] => [] => 0

[[3,2,2,2,2],[]] => [] => [] => [] => 0

[[6,6],[]] => [] => [] => [] => 0

[[5,5,2],[]] => [] => [] => [] => 0

[[5,4,3],[]] => [] => [] => [] => 0

[[4,4,4],[]] => [] => [] => [] => 0

[[4,4,3,1],[]] => [] => [] => [] => 0

[[4,4,2,2],[]] => [] => [] => [] => 0

[[4,3,3,2],[]] => [] => [] => [] => 0

[[3,3,3,3],[]] => [] => [] => [] => 0

[[3,3,3,2,1],[]] => [] => [] => [] => 0

[[3,3,2,2,2],[]] => [] => [] => [] => 0

[[2,2,2,2,2,2],[]] => [] => [] => [] => 0

[[5,5,3],[]] => [] => [] => [] => 0

[[5,4,4],[]] => [] => [] => [] => 0

[[4,4,4,1],[]] => [] => [] => [] => 0

[[4,4,3,2],[]] => [] => [] => [] => 0

[[4,3,3,3],[]] => [] => [] => [] => 0

[[3,3,3,3,1],[]] => [] => [] => [] => 0

[[3,3,3,2,2],[]] => [] => [] => [] => 0

[[5,5,4],[]] => [] => [] => [] => 0

[[4,4,4,2],[]] => [] => [] => [] => 0

[[4,4,3,3],[]] => [] => [] => [] => 0

[[3,3,3,3,2],[]] => [] => [] => [] => 0

[[5,5,5],[]] => [] => [] => [] => 0

[[5,5,4,1],[]] => [] => [] => [] => 0

[[4,4,4,3],[]] => [] => [] => [] => 0

[[3,3,3,3,3],[]] => [] => [] => [] => 0

[[5,5,5,1],[]] => [] => [] => [] => 0

[[4,4,4,4],[]] => [] => [] => [] => 0

[[4,4,4,3,1],[]] => [] => [] => [] => 0

[[3,3,3,3,3,1],[]] => [] => [] => [] => 0

[[4,4,4,4,1],[]] => [] => [] => [] => 0

[[2,2,1,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1

[[2,2,2,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,2,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1

[[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[3,2,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,3,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,3,1,1,1],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,2,3,4]] => 1

[[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[4,3,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,4,2,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[4,3,3,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[4,4,3,1,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => [[1,4],[2,5],[3]] => 3

[[5,3,1,1],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[2,2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [[1,2,3,4,5]] => 1

[[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,2,3,4]] => 1

[[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[1,3,4,5],[2]] => 2

[[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[1,3,5,6],[2,4]] => 2

[[4,3,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[4,4,2,2,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => [[1,4,5],[2],[3]] => 3

[[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[1,3,5,7],[2,4,6]] => 2

[[4,3,3,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[4,4,3,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[1,4,6],[2,5],[3]] => 3

[[5,3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,4,4,2,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[1,4,7],[2,5],[3,6]] => 3

[[5,4,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[4,3,3,3,1],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[1,3,5],[2,4,6]] => 2

[[4,4,3,3,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[1,4,6],[2,5,7],[3]] => 3

[[5,3,3,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[4,4,4,3,1],[3,3,2]] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[1,4,7],[2,5,8],[3,6]] => 3

[[5,4,3,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => [[1,4],[2,5],[3]] => 3

[[5,5,3,1],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => [[1,5],[2,6],[3],[4]] => 4

[[4,4,4,4,1],[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

[[5,4,4,1],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => [[1,4],[2,5],[3,6]] => 3

[[5,5,4,1],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => [[1,5],[2,6],[3,7],[4]] => 4

[[6,4,1],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => [[1,2,3,4,5,6]] => 1

[[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [[1,2,3,4,5]] => 1

[[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[1,3,4,5,6],[2]] => 2

[[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[1,3,5,6,7],[2,4]] => 2

[[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[1,3,4,5],[2]] => 2

[[4,4,2,2,2],[3,1,1,1]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[1,4,5,6],[2],[3]] => 3

[[3,3,3,3,2,2],[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]] => 2

[[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[1,3,5,6],[2,4]] => 2

[[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[1,4,6,7],[2,5],[3]] => 3

[[5,3,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[1,4,7,8],[2,5],[3,6]] => 3

[[5,4,2,2],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => [[1,4,5],[2],[3]] => 3

[[3,3,3,3,3,2],[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]] => 2

[[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[1,3,5,7],[2,4,6]] => 2

[[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[1,4,6,8],[2,5,7],[3]] => 3

[[5,3,3,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[4,4,4,3,2],[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]] => 3

[[5,4,3,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[1,4,6],[2,5],[3]] => 3

[[5,5,3,2],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[1,5,7],[2,6],[3],[4]] => 4

[[4,4,4,4,2],[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]] => 3

[[5,4,4,2],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[1,4,7],[2,5],[3,6]] => 3

[[5,5,4,2],[4,3,1]] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[1,5,8],[2,6],[3,7],[4]] => 4

[[6,4,2],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[5,5,5,2],[4,4,1]] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[1,5,9],[2,6],[3,7],[4,8]] => 4

[[6,5,2],[4,1]] => [4,1] => [[1,2,3,4],[5]] => [[1,5],[2],[3],[4]] => 4

[[3,3,3,3,3,3],[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]] => 2

[[4,4,3,3,3],[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]] => 3

[[5,3,3,3],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[1,3,5],[2,4,6]] => 2

[[4,4,4,3,3],[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]] => 3

[[5,4,3,3],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[1,4,6],[2,5,7],[3]] => 3

[[5,5,3,3],[4,2,2]] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[1,5,7],[2,6,8],[3],[4]] => 4

[[5,4,4,3],[3,3,2]] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[1,4,7],[2,5,8],[3,6]] => 3

[[5,5,4,3],[4,3,2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 4

[[6,4,3],[3,2]] => [3,2] => [[1,2,3],[4,5]] => [[1,4],[2,5],[3]] => 3

[[5,5,5,3],[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]] => 4

[[6,5,3],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => [[1,5],[2,6],[3],[4]] => 4

[[6,6,3],[5,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => [[1,6],[2,7],[3],[4],[5]] => 5

[[5,4,4,4],[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

[[5,5,4,4],[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]] => 4

[[6,4,4],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => [[1,4],[2,5],[3,6]] => 3

[[6,5,4],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => [[1,5],[2,6],[3,7],[4]] => 4

[[6,6,4],[5,3]] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[1,6],[2,7],[3,8],[4],[5]] => 5

[[7,4],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[6,6,6],[5,5]] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 5

[[7,7],[6]] => [6] => [[1,2,3,4,5,6]] => [[1],[2],[3],[4],[5],[6]] => 6

[[2,2,2,2,2,2,2,2],[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]] => 1

[[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => 2

[[7,7,7],[6,6]] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => 6

[[8,8],[7]] => [7] => [[1,2,3,4,5,6,7]] => [[1],[2],[3],[4],[5],[6],[7]] => 7

[[2,2,2,2,2,2,2,2,2],[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]] => 1

[[9,9],[8]] => [8] => [[1,2,3,4,5,6,7,8]] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 8

[[3,3,3],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,1],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,1],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,2,1],[1]] => [1] => [[1]] => [[1]] => 1

[[2,2,2,2,1],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,1],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,1],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[4,4,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[5,5],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,3],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[3,3,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[4,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[4,4,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[5,4],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[5,5],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,3,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,2],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,3,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,2],[1]] => [1] => [[1]] => [[1]] => 1

[[2,2,2,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,2,2,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,2,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,2,2],[1]] => [1] => [[1]] => [[1]] => 1

[[2,2,2,2,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[4,3,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,3],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,3],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,3,3],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,3],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,4],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,3],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,1],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,3,1],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,1],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,1],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3,1],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[6,6],[4]] => [4] => [[1,2,3,4]] => [[1],[2],[3],[4]] => 4

[[5,5,5],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => [[1,5],[2,6],[3,7],[4]] => 4

[[6,5],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[5,5,5],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => [[1,4],[2,5],[3,6]] => 3

[[6,6],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,4,4],[3,3,2]] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[1,4,7],[2,5,8],[3,6]] => 3

[[6,4],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[5,5,4],[3,2]] => [3,2] => [[1,2,3],[4,5]] => [[1,4],[2,5],[3]] => 3

[[4,4,4,4],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[1,4,6],[2,5,7],[3]] => 3

[[5,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[4,4,4,4],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[1,3,5],[2,4,6]] => 2

[[5,5,4],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[5,5,5],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => [[1,5],[2,6],[3],[4]] => 4

[[6,5],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[5,5,5],[3,2]] => [3,2] => [[1,2,3],[4,5]] => [[1,4],[2,5],[3]] => 3

[[6,6],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[5,5,5],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[3,3,3,3,3],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[1,3,5,7],[2,4,6]] => 2

[[6,3],[1]] => [1] => [[1]] => [[1]] => 1

[[5,5,3],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[5,4,3],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,4,4,3],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[5,5,3],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[3,3,3,3,3],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[1,3,5,6],[2,4]] => 2

[[5,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[3,3,3,3,3],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[1,3,4,5],[2]] => 2

[[4,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[3,3,3,3,3],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,2,3,4]] => 1

[[4,4,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[5,4,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,4,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[5,5,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,4,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[4,4,4,4],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[1,4,7],[2,5],[3,6]] => 3

[[6,4],[1]] => [1] => [[1]] => [[1]] => 1

[[5,5,4],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[4,4,4,4],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[1,4,6],[2,5],[3]] => 3

[[5,4,4],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,4,4,4],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[5,5,4],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[5,5,5],[4,1]] => [4,1] => [[1,2,3,4],[5]] => [[1,5],[2],[3],[4]] => 4

[[6,5],[1]] => [1] => [[1]] => [[1]] => 1

[[5,5,5],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[6,6],[1]] => [1] => [[1]] => [[1]] => 1

[[5,5,5],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,4,4,4],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => [[1,4,5],[2],[3]] => 3

[[5,4,4],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,4,4],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[5,5,4],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,4,4],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[5,5,5],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,2,3,4]] => 1

[[5,5,2],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[5,4,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[5,5,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[5,3,2],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,3,2],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,3,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,3,3,3,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[4,4,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[5,4,2],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,2],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[5,5,2],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[2,2,2,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[4,4,2,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,3,2,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,2,2],[1]] => [1] => [[1]] => [[1]] => 1

[[2,2,2,2,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,3,2,2,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,2,2],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,3,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,3,3,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,3,2],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,2],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,4,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3,2],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,3,2],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3,3],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[1,3,5],[2,4,6]] => 2

[[5,5,3],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[5,4,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[5,5,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,3,3],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => [[1,3,5],[2,4]] => 2

[[5,3,3],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,3,3],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[3,3,3,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[1,3,4],[2]] => 2

[[4,3,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[3,3,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,2,3]] => 1

[[4,4,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,4,3],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[5,4,3],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,3],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[5,5,3],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,4,4],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => [[1,4],[2,5],[3,6]] => 3

[[5,5,4],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,4,4],[3,2]] => [3,2] => [[1,2,3],[4,5]] => [[1,4],[2,5],[3]] => 3

[[5,4,4],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[5,5,4],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[5,5,5],[4]] => [4] => [[1,2,3,4]] => [[1],[2],[3],[4]] => 4

[[5,5,5],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[5,5,5],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[5,4,4],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,4],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[5,5,4],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,4],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[5,5,5],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[1,3],[2,4]] => 2

[[4,3,3,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,3,3],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,3,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,3,3],[2,1]] => [2,1] => [[1,2],[3]] => [[1,3],[2]] => 2

[[4,3,3,3],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,2]] => 1

[[4,4,3,3],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,3],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,4,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,3],[1]] => [1] => [[1]] => [[1]] => 1

[[3,3,3,3,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[3,3,3,3,3],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,4],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,4,4],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,4],[1]] => [1] => [[1]] => [[1]] => 1

[[5,5,5,1],[1]] => [1] => [[1]] => [[1]] => 1

[[4,4,4,4,1],[1]] => [1] => [[1]] => [[1]] => 1

[[7,7],[5]] => [5] => [[1,2,3,4,5]] => [[1],[2],[3],[4],[5]] => 5

[[6,6,6],[5,4]] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => 5

[[6,6,6],[4,4]] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[1,5],[2,6],[3,7],[4,8]] => 4

[[7,7],[4]] => [4] => [[1,2,3,4]] => [[1],[2],[3],[4]] => 4

[[5,5,5,5],[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]] => 4

[[5,5,5,5],[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

[[6,6,6],[5,3]] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[1,6],[2,7],[3,8],[4],[5]] => 5

[[4,4,4,4,4],[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]] => 3

[[4,4,4,4,4],[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]] => 3

[[5,5,5,5],[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]] => 4

[[5,5,5,5],[4,3,2]] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[1,5,8],[2,6,9],[3,7],[4]] => 4

[[5,5,5,5],[3,3,2]] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[1,4,7],[2,5,8],[3,6]] => 3

[[6,6,6],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => [[1,5],[2,6],[3],[4]] => 4

[[5,5,5,5],[4,2,2]] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[1,5,7],[2,6,8],[3],[4]] => 4

[[5,5,5,5],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[1,4,6],[2,5,7],[3]] => 3

[[3,3,3,3,3,3],[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]] => 2

[[3,3,3,3,3,3],[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]] => 2

[[4,4,4,4,4],[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]] => 3

[[4,4,4,4,4],[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]] => 3

[[4,4,4,4,4],[3,2,2,1]] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[1,4,6,8],[2,5,7],[3]] => 3

[[5,5,5,5],[4,4,1]] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[1,5,9],[2,6],[3,7],[4,8]] => 4

[[5,5,5,5],[4,3,1]] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[1,5,8],[2,6],[3,7],[4]] => 4

[[5,5,5,5],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[1,4,7],[2,5],[3,6]] => 3

[[5,5,5,5],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[1,5,7],[2,6],[3],[4]] => 4

[[5,5,5,5],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[1,4,6],[2,5],[3]] => 3

[[4,4,4,4,4],[3,3,1,1]] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[1,4,7,8],[2,5],[3,6]] => 3

[[4,4,4,4,4],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[1,4,6,7],[2,5],[3]] => 3

[[2,2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [[1,2,3,4,5]] => 1

[[2,2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,2,3,4]] => 1

[[3,3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[1,3,5,7],[2,4,6,8]] => 2

[[3,3,3,3,3,3],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[1,3,5,6],[2,4]] => 2

[[4,4,4,4,4],[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

[[4,4,4,4,4],[3,3,2]] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[1,4,7],[2,5,8],[3,6]] => 3

[[4,4,4,4,4],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[1,4,6],[2,5,7],[3]] => 3

[[4,4,4,4,4],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[1,4,7],[2,5],[3,6]] => 3

[[4,4,4,4,4],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[1,4,6],[2,5],[3]] => 3

[[5,5,5,5],[4,1]] => [4,1] => [[1,2,3,4],[5]] => [[1,5],[2],[3],[4]] => 4

[[3,3,3,3,3,3],[2]] => [2] => [[1,2]] => [[1],[2]] => 2

[[4,4,4,4,3],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[5,5,5,4],[4]] => [4] => [[1,2,3,4]] => [[1],[2],[3],[4]] => 4

[[4,4,4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => [[1,4],[2],[3]] => 3

[[5,5,5,5],[4]] => [4] => [[1,2,3,4]] => [[1],[2],[3],[4]] => 4

[[4,4,4,4,4],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[8,8],[6]] => [6] => [[1,2,3,4,5,6]] => [[1],[2],[3],[4],[5],[6]] => 6

[[2,2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => [[1,2,3,4,5,6]] => 1

[[5,5,5,5,5],[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

[[5,5,5,5,5],[4]] => [4] => [[1,2,3,4]] => [[1],[2],[3],[4]] => 4

[[5,5,5,5,1],[]] => [] => [] => [] => 0

[[5,5,5,5,5,5],[4]] => [4] => [[1,2,3,4]] => [[1],[2],[3],[4]] => 4

[[4,4,4,4,4,4],[3]] => [3] => [[1,2,3]] => [[1],[2],[3]] => 3

[[4,4,4,4,4,1],[]] => [] => [] => [] => 0

[[5,5,5,5,5,1],[]] => [] => [] => [] => 0

[[6,6,6,6,6,6],[5]] => [5] => [[1,2,3,4,5]] => [[1],[2],[3],[4],[5]] => 5

[[6,6,6,6,6],[5]] => [5] => [[1,2,3,4,5]] => [[1],[2],[3],[4],[5]] => 5

[[5,5,5,5,4],[4]] => [4] => [[1,2,3,4]] => [[1],[2],[3],[4]] => 4

[[5,5,5,5,5],[4,1]] => [4,1] => [[1,2,3,4],[5]] => [[1,5],[2],[3],[4]] => 4

[[5,5,5,4,1],[]] => [] => [] => [] => 0

[[5,5,5,5,1],[1]] => [1] => [[1]] => [[1]] => 1

[[6,6,6,6,1],[]] => [] => [] => [] => 0

[[6,6,6,6,6,1],[]] => [] => [] => [] => 0

search for individual values

searching the database for the individual values of this statistic

/ search for generating function

searching the database for statistics with the same generating function

click to show known generating functions

Description

The index of the last row whose first entry is the row number in a standard Young tableau.

Map

initial tableau

Description

Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.

Map

inner shape

Description

The inner shape of a skew partition.

Map

conjugate

Description

Sends a standard tableau to its conjugate tableau.